LMFDB - Embedded newform 507.2.p.a.25.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(25,507)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(26))

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

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

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

chi := DirichletCharacter("507.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.p (of order $26$, degree $12$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$14$ over $\Q(\zeta_{26})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{26}]$

Embedding invariants

Embedding label			25.12
Character	$\chi$	$=$	507.25
Dual form			507.2.p.a.142.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.96188 + 0.744043i) q^{2} +(0.568065 + 0.822984i) q^{3} +(1.79835 + 1.59320i) q^{4} +(1.22751 + 0.149046i) q^{5} +(0.502139 + 2.03726i) q^{6} +(-0.253099 - 0.482239i) q^{7} +(0.392545 + 0.747932i) q^{8} +(-0.354605 + 0.935016i) q^{9} +(2.29732 + 1.20573i) q^{10} +(1.87956 - 0.712825i) q^{11} +(-0.289598 + 2.38505i) q^{12} +(1.45469 + 3.29907i) q^{13} +(-0.137743 - 1.13441i) q^{14} +(0.574641 + 1.09489i) q^{15} +(-0.365563 - 3.01068i) q^{16} +(-3.40778 + 1.78854i) q^{17} +(-1.39138 + 1.57055i) q^{18} -0.857408i q^{19} +(1.97003 + 2.22370i) q^{20} +(0.253099 - 0.482239i) q^{21} +4.21785 q^{22} -1.77513 q^{23} +(-0.392545 + 0.747932i) q^{24} +(-3.37015 - 0.830668i) q^{25} +(0.399276 + 7.55473i) q^{26} +(-0.970942 + 0.239316i) q^{27} +(0.313143 - 1.27047i) q^{28} +(0.712033 - 1.87748i) q^{29} +(0.312733 + 2.57559i) q^{30} +(-0.267757 - 1.08633i) q^{31} +(1.92718 - 7.81887i) q^{32} +(1.65436 + 1.14192i) q^{33} +(-8.01641 + 0.973368i) q^{34} +(-0.238804 - 0.629675i) q^{35} +(-2.12737 + 1.11653i) q^{36} +(-0.364254 - 1.47784i) q^{37} +(0.637948 - 1.68213i) q^{38} +(-1.88872 + 3.07127i) q^{39} +(0.370375 + 0.976599i) q^{40} +(0.862729 - 0.595499i) q^{41} +(0.855356 - 0.757779i) q^{42} +(-7.87370 - 1.94069i) q^{43} +(4.51579 + 1.71261i) q^{44} +(-0.574641 + 1.09489i) q^{45} +(-3.48260 - 1.32078i) q^{46} +(-3.11505 - 3.51616i) q^{47} +(2.27008 - 2.01112i) q^{48} +(3.80796 - 5.51678i) q^{49} +(-5.99378 - 4.13721i) q^{50} +(-3.40778 - 1.78854i) q^{51} +(-2.64004 + 8.25050i) q^{52} +(-1.14381 + 0.600315i) q^{53} +(-2.08293 - 0.252914i) q^{54} +(2.41342 - 0.594855i) q^{55} +(0.261330 - 0.378601i) q^{56} +(0.705633 - 0.487063i) q^{57} +(2.79385 - 3.15360i) q^{58} +(6.27683 + 0.762145i) q^{59} +(-0.710967 + 2.88451i) q^{60} +(6.19004 + 3.24878i) q^{61} +(0.282971 - 2.33048i) q^{62} +(0.540652 - 0.0656470i) q^{63} +(6.15282 - 8.91390i) q^{64} +(1.29393 + 4.26645i) q^{65} +(2.39601 + 3.47122i) q^{66} +(3.67771 + 4.15128i) q^{67} +(-8.97789 - 2.21285i) q^{68} +(-1.00839 - 1.46091i) q^{69} -1.41303i q^{70} +(6.11657 - 4.22196i) q^{71} +(-0.838527 + 0.101816i) q^{72} +(-12.7542 + 4.83703i) q^{73} +(0.384951 - 3.17036i) q^{74} +(-1.23084 - 3.24545i) q^{75} +(1.36602 - 1.54192i) q^{76} +(-0.819467 - 0.725985i) q^{77} +(-5.99061 + 4.62018i) q^{78} +(-0.145262 + 0.128691i) q^{79} -3.75012i q^{80} +(-0.748511 - 0.663123i) q^{81} +(2.13565 - 0.526390i) q^{82} +(13.3249 + 9.19752i) q^{83} +(1.22346 - 0.463998i) q^{84} +(-4.44965 + 1.68753i) q^{85} +(-14.0033 - 9.66578i) q^{86} +(1.94961 - 0.480537i) q^{87} +(1.27096 + 1.12597i) q^{88} -1.99173i q^{89} +(-1.94202 + 1.72048i) q^{90} +(1.22276 - 1.53650i) q^{91} +(-3.19231 - 2.82814i) q^{92} +(0.741931 - 0.837467i) q^{93} +(-3.49517 - 9.21601i) q^{94} +(0.127793 - 1.05247i) q^{95} +(7.52957 - 2.85559i) q^{96} +(-9.29546 + 1.12867i) q^{97} +(11.5755 - 7.98997i) q^{98} +2.01019i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9} - 4 q^{10} + 12 q^{12} + 13 q^{13} + 2 q^{14} - 8 q^{16} - 4 q^{17} - 72 q^{22} + 48 q^{23} - 44 q^{25} - 39 q^{26} - 14 q^{27} + 45 q^{29} - 4 q^{30} - 26 q^{31}+ \cdots - 104 q^{98}+O(q^{100}) $ 168 * q - 14 * q^3 + 12 * q^4 - 14 * q^9 - 4 * q^10 + 12 * q^12 + 13 * q^13 + 2 * q^14 - 8 * q^16 - 4 * q^17 - 72 * q^22 + 48 * q^23 - 44 * q^25 - 39 * q^26 - 14 * q^27 + 45 * q^29 - 4 * q^30 - 26 * q^31 + 130 * q^32 + 13 * q^33 - 65 * q^34 - 35 * q^35 + 12 * q^36 + 61 * q^38 + 12 * q^40 - 63 * q^42 + 72 * q^43 - 39 * q^44 - 8 * q^48 - 68 * q^49 - 52 * q^50 - 4 * q^51 + 65 * q^52 - q^53 + 53 * q^55 - 14 * q^56 - 13 * q^57 - 26 * q^58 - 104 * q^59 + 117 * q^60 + 12 * q^61 + 49 * q^62 - 32 * q^64 - 52 * q^65 - 46 * q^66 + 26 * q^67 - 84 * q^68 - 4 * q^69 - 39 * q^71 - 52 * q^73 + 29 * q^74 + 8 * q^75 - 130 * q^76 + 60 * q^77 + 65 * q^78 + 14 * q^79 - 14 * q^81 + 45 * q^82 + 78 * q^83 - 13 * q^85 - 13 * q^86 - 46 * q^87 - 26 * q^88 - 4 * q^90 - 208 * q^91 + 82 * q^92 - 39 * q^93 + 25 * q^94 - 66 * q^95 + 65 * q^96 + 26 * q^97 - 104 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$1$	$e\left(\frac{3}{26}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.96188	+	0.744043i	1.38726	+	0.526118i	0.931420	−	0.363945i	$-0.118570\pi$
$2$	1.96188	+	0.744043i	1.38726	+	0.526118i	0.455838	+	0.890063i	$0.349340\pi$
$3$	0.568065	+	0.822984i	0.327972	+	0.475150i
$3$	0.568065	+	0.822984i	0.327972	+	0.475150i
$4$	1.79835	+	1.59320i	0.899175	+	0.796600i
$5$	1.22751	+	0.149046i	0.548958	+	0.0666555i	0.390316	−	0.920681i	$-0.372366\pi$
$5$	1.22751	+	0.149046i	0.548958	+	0.0666555i	0.158641	+	0.987336i	$0.449289\pi$
$6$	0.502139	+	2.03726i	0.204998	+	0.831708i
$7$	−0.253099	−	0.482239i	−0.0956623	−	0.182269i	0.832922	−	0.553390i	$-0.186666\pi$
$7$	−0.253099	−	0.482239i	−0.0956623	−	0.182269i	−0.928585	+	0.371120i	$0.878974\pi$
$8$	0.392545	+	0.747932i	0.138786	+	0.264434i
$9$	−0.354605	+	0.935016i	−0.118202	+	0.311672i
$10$	2.29732	+	1.20573i	0.726478	+	0.381285i
$11$	1.87956	−	0.712825i	0.566710	−	0.214925i	−0.0545747	−	0.998510i	$-0.517380\pi$
$11$	1.87956	−	0.712825i	0.566710	−	0.214925i	0.621285	+	0.783585i	$0.286611\pi$
$12$	−0.289598	+	2.38505i	−0.0835997	+	0.688506i
$13$	1.45469	+	3.29907i	0.403458	+	0.914998i
$13$	1.45469	+	3.29907i	0.403458	+	0.914998i
$14$	−0.137743	−	1.13441i	−0.0368132	−	0.303184i
$15$	0.574641	+	1.09489i	0.148372	+	0.282698i
$16$	−0.365563	−	3.01068i	−0.0913908	−	0.752671i
$17$	−3.40778	+	1.78854i	−0.826508	+	0.433785i	−0.824259	−	0.566212i	$-0.808408\pi$
$17$	−3.40778	+	1.78854i	−0.826508	+	0.433785i	−0.00224901	+	0.999997i	$0.500716\pi$
$18$	−1.39138	+	1.57055i	−0.327952	+	0.370182i
$19$		−	0.857408i		−	0.196703i	−0.995152	−	0.0983514i	$-0.968643\pi$
$19$		−	0.857408i		−	0.196703i	0.995152	−	0.0983514i	$-0.0313569\pi$
$20$	1.97003	+	2.22370i	0.440511	+	0.497234i
$21$	0.253099	−	0.482239i	0.0552307	−	0.105233i
$22$	4.21785			0.899249
$23$	−1.77513			−0.370141			−0.185070	−	0.982725i	$-0.559251\pi$
$23$	−1.77513			−0.370141			−0.185070	+	0.982725i	$0.559251\pi$
$24$	−0.392545	+	0.747932i	−0.0801279	+	0.152671i
$25$	−3.37015	−	0.830668i	−0.674030	−	0.166134i
$26$	0.399276	+	7.55473i	0.0783045	+	1.48161i
$27$	−0.970942	+	0.239316i	−0.186858	+	0.0460563i
$28$	0.313143	−	1.27047i	0.0591785	−	0.240097i
$29$	0.712033	−	1.87748i	0.132221	−	0.348639i	−0.852512	−	0.522707i	$-0.824922\pi$
$29$	0.712033	−	1.87748i	0.132221	−	0.348639i	0.984734	+	0.174068i	$0.0556914\pi$
$30$	0.312733	+	2.57559i	0.0570971	+	0.470237i
$31$	−0.267757	−	1.08633i	−0.0480906	−	0.195111i	0.941983	−	0.335660i	$-0.108959\pi$
$31$	−0.267757	−	1.08633i	−0.0480906	−	0.195111i	−0.990074	+	0.140549i	$0.955113\pi$
$32$	1.92718	−	7.81887i	0.340680	−	1.38219i
$33$	1.65436	+	1.14192i	0.287987	+	0.198783i
$34$	−8.01641	+	0.973368i	−1.37480	+	0.166931i
$35$	−0.238804	−	0.629675i	−0.0403653	−	0.106435i
$36$	−2.12737	+	1.11653i	−0.354562	+	0.186088i
$37$	−0.364254	−	1.47784i	−0.0598830	−	0.242955i	0.933371	−	0.358913i	$-0.116852\pi$
$37$	−0.364254	−	1.47784i	−0.0598830	−	0.242955i	−0.993254	+	0.115958i	$0.963006\pi$
$38$	0.637948	−	1.68213i	0.103489	−	0.272878i
$39$	−1.88872	+	3.07127i	−0.302438	+	0.491797i
$40$	0.370375	+	0.976599i	0.0585615	+	0.154414i
$41$	0.862729	−	0.595499i	0.134736	−	0.0930013i	−0.498791	−	0.866723i	$-0.666222\pi$
$41$	0.862729	−	0.595499i	0.134736	−	0.0930013i	0.633526	+	0.773721i	$0.281607\pi$
$42$	0.855356	−	0.757779i	0.131984	−	0.116928i
$43$	−7.87370	−	1.94069i	−1.20073	−	0.295953i	−0.412282	−	0.911056i	$-0.635268\pi$
$43$	−7.87370	−	1.94069i	−1.20073	−	0.295953i	−0.788447	+	0.615103i	$0.789114\pi$
$44$	4.51579	+	1.71261i	0.680780	+	0.258186i
$45$	−0.574641	+	1.09489i	−0.0856624	+	0.163216i
$46$	−3.48260	−	1.32078i	−0.513481	−	0.194738i
$47$	−3.11505	−	3.51616i	−0.454376	−	0.512885i	0.476023	−	0.879433i	$-0.342078\pi$
$47$	−3.11505	−	3.51616i	−0.454376	−	0.512885i	−0.930399	+	0.366548i	$0.880539\pi$
$48$	2.27008	−	2.01112i	0.327658	−	0.290280i
$49$	3.80796	−	5.51678i	0.543994	−	0.788111i
$50$	−5.99378	−	4.13721i	−0.847648	−	0.585089i
$51$	−3.40778	−	1.78854i	−0.477185	−	0.250446i
$52$	−2.64004	+	8.25050i	−0.366107	+	1.14414i
$53$	−1.14381	+	0.600315i	−0.157114	+	0.0824596i	−0.541447	−	0.840735i	$-0.682123\pi$
$53$	−1.14381	+	0.600315i	−0.157114	+	0.0824596i	0.384334	+	0.923194i	$0.374431\pi$
$54$	−2.08293	−	0.252914i	−0.283451	−	0.0344172i
$55$	2.41342	−	0.594855i	0.325426	−	0.0802102i
$56$	0.261330	−	0.378601i	0.0349216	−	0.0505927i
$57$	0.705633	−	0.487063i	0.0934634	−	0.0645131i
$58$	2.79385	−	3.15360i	0.366850	−	0.414088i
$59$	6.27683	+	0.762145i	0.817174	+	0.0992229i	0.518441	−	0.855114i	$-0.326513\pi$
$59$	6.27683	+	0.762145i	0.817174	+	0.0992229i	0.298733	+	0.954337i	$0.403436\pi$
$60$	−0.710967	+	2.88451i	−0.0917854	+	0.372388i
$61$	6.19004	+	3.24878i	0.792553	+	0.415964i	0.811862	−	0.583850i	$-0.198454\pi$
$61$	6.19004	+	3.24878i	0.792553	+	0.415964i	−0.0193089	+	0.999814i	$0.506147\pi$
$62$	0.282971	−	2.33048i	0.0359374	−	0.295971i
$63$	0.540652	−	0.0656470i	0.0681157	−	0.00827074i
$64$	6.15282	−	8.91390i	0.769103	−	1.11424i
$65$	1.29393	+	4.26645i	0.160492	+	0.529188i
$66$	2.39601	+	3.47122i	0.294929	+	0.427278i
$67$	3.67771	+	4.15128i	0.449304	+	0.507159i	0.928900	−	0.370330i	$-0.120755\pi$
$67$	3.67771	+	4.15128i	0.449304	+	0.507159i	−0.479596	+	0.877489i	$0.659217\pi$
$68$	−8.97789	−	2.21285i	−1.08873	−	0.268348i
$69$	−1.00839	−	1.46091i	−0.121396	−	0.175872i
$70$		−	1.41303i		−	0.168889i
$71$	6.11657	−	4.22196i	0.725903	−	0.501055i	−0.146885	−	0.989154i	$-0.546925\pi$
$71$	6.11657	−	4.22196i	0.725903	−	0.501055i	0.872788	+	0.488099i	$0.162309\pi$
$72$	−0.838527	+	0.101816i	−0.0988214	+	0.0119991i
$73$	−12.7542	+	4.83703i	−1.49277	+	0.566132i	−0.959968	−	0.280110i	$-0.909629\pi$
$73$	−12.7542	+	4.83703i	−1.49277	+	0.566132i	−0.532799	+	0.846242i	$0.678860\pi$
$74$	0.384951	−	3.17036i	0.0447497	−	0.368547i
$75$	−1.23084	−	3.24545i	−0.142125	−	0.374753i
$76$	1.36602	−	1.54192i	0.156693	−	0.176870i
$77$	−0.819467	−	0.725985i	−0.0933870	−	0.0827336i
$78$	−5.99061	+	4.62018i	−0.678303	+	0.523132i
$79$	−0.145262	+	0.128691i	−0.0163432	+	0.0144788i	−0.671255	−	0.741227i	$-0.734244\pi$
$79$	−0.145262	+	0.128691i	−0.0163432	+	0.0144788i	0.654912	+	0.755706i	$0.272706\pi$
$80$		−	3.75012i		−	0.419276i
$81$	−0.748511	−	0.663123i	−0.0831679	−	0.0736803i
$82$	2.13565	−	0.526390i	0.235843	−	0.0581300i
$83$	13.3249	+	9.19752i	1.46260	+	1.00956i	0.991867	+	0.127282i	$0.0406253\pi$
$83$	13.3249	+	9.19752i	1.46260	+	1.00956i	0.470732	+	0.882277i	$0.343990\pi$
$84$	1.22346	−	0.463998i	0.133491	−	0.0506264i
$85$	−4.44965	+	1.68753i	−0.482632	+	0.183038i
$86$	−14.0033	−	9.66578i	−1.51001	−	1.04229i
$87$	1.94961	−	0.480537i	0.209021	−	0.0515189i
$88$	1.27096	+	1.12597i	0.135485	+	0.120029i
$89$		−	1.99173i		−	0.211123i	−0.994413	−	0.105561i	$-0.966336\pi$
$89$		−	1.99173i		−	0.211123i	0.994413	−	0.105561i	$-0.0336640\pi$
$90$	−1.94202	+	1.72048i	−0.204707	+	0.181354i
$91$	1.22276	−	1.53650i	0.128180	−	0.161069i
$92$	−3.19231	−	2.82814i	−0.332821	−	0.294854i
$93$	0.741931	−	0.837467i	0.0769347	−	0.0868413i
$94$	−3.49517	−	9.21601i	−0.360499	−	0.950559i
$95$	0.127793	−	1.05247i	0.0131113	−	0.107982i
$96$	7.52957	−	2.85559i	0.768483	−	0.291447i
$97$	−9.29546	+	1.12867i	−0.943811	+	0.114599i	−0.577952	−	0.816071i	$-0.696148\pi$
$97$	−9.29546	+	1.12867i	−0.943811	+	0.114599i	−0.365859	+	0.930670i	$0.619225\pi$
$98$	11.5755	−	7.98997i	1.16930	−	0.807109i
$99$			2.01019i			0.202032i
$100$	−4.73729	−	6.86315i	−0.473729	−	0.686315i
$101$	0.936937	+	0.230934i	0.0932287	+	0.0229788i	0.285654	−	0.958333i	$-0.407789\pi$
$101$	0.936937	+	0.230934i	0.0932287	+	0.0229788i	−0.192425	+	0.981312i	$0.561635\pi$
$102$	−5.35490	−	6.04444i	−0.530215	−	0.598489i
$103$	−2.32356	−	3.36626i	−0.228947	−	0.331687i	0.691627	−	0.722255i	$-0.256894\pi$
$103$	−2.32356	−	3.36626i	−0.228947	−	0.331687i	−0.920574	+	0.390568i	$0.872279\pi$
$104$	−1.89645	+	2.38304i	−0.185962	+	0.233677i
$105$	0.382556	−	0.554229i	0.0373337	−	0.0540872i
$106$	−2.69067	+	0.326706i	−0.261341	+	0.0317325i
$107$	0.435066	−	3.58309i	0.0420594	−	0.346390i	−0.956454	−	0.291883i	$-0.905718\pi$
$107$	0.435066	−	3.58309i	0.0420594	−	0.346390i	0.998513	−	0.0545072i	$-0.0173588\pi$
$108$	−2.12737	−	1.11653i	−0.204706	−	0.107438i
$109$	−1.43933	+	5.83958i	−0.137863	+	0.559331i	0.860862	+	0.508839i	$0.169925\pi$
$109$	−1.43933	+	5.83958i	−0.137863	+	0.559331i	−0.998724	+	0.0504919i	$0.983921\pi$
$110$	5.17744	+	0.628655i	0.493650	+	0.0599399i
$111$	1.00932	−	1.13928i	0.0958000	−	0.108136i
$112$	−1.35935	+	0.938289i	−0.128446	+	0.0886600i
$113$	−5.97436	+	8.65536i	−0.562021	+	0.814228i	−0.996245	−	0.0865770i	$-0.972407\pi$
$113$	−5.97436	+	8.65536i	−0.562021	+	0.814228i	0.434224	+	0.900805i	$0.357023\pi$
$114$	1.74676	−	0.430538i	0.163599	−	0.0403236i
$115$	−2.17899	−	0.264577i	−0.203192	−	0.0246719i
$116$	4.27168	−	2.24195i	0.396615	−	0.208160i
$117$	−3.60053	+	0.190292i	−0.332869	+	0.0175925i
$118$	11.7473	+	6.16547i	1.08143	+	0.567577i
$119$	1.72501	+	1.19069i	0.158131	+	0.109150i
$120$	−0.593328	+	0.859585i	−0.0541632	+	0.0784690i
$121$	−5.20898	+	4.61475i	−0.473543	+	0.419523i
$122$	9.72687	+	10.9794i	0.880630	+	0.994025i
$123$	0.980172	+	0.371730i	0.0883791	+	0.0335178i
$124$	1.24922	−	2.38020i	0.112184	−	0.213748i
$125$	−9.79392	−	3.71434i	−0.875995	−	0.332221i
$126$	1.10954	+	0.273476i	0.0988455	+	0.0243632i
$127$	1.08889	−	0.964672i	0.0966233	−	0.0856008i	−0.613428	−	0.789750i	$-0.710210\pi$
$127$	1.08889	−	0.964672i	0.0966233	−	0.0856008i	0.710052	+	0.704150i	$0.248672\pi$
$128$	5.44864	−	3.76093i	0.481597	−	0.332422i
$129$	−2.87561	−	7.58237i	−0.253184	−	0.667591i
$130$	−0.635891	+	9.33300i	−0.0557713	+	0.818558i
$131$	7.32791	−	19.3221i	0.640242	−	1.68818i	−0.0820812	−	0.996626i	$-0.526157\pi$
$131$	7.32791	−	19.3221i	0.640242	−	1.68818i	0.722324	−	0.691555i	$-0.243074\pi$
$132$	1.15581	+	4.68929i	0.100600	+	0.408151i
$133$	−0.413476	+	0.217009i	−0.0358529	+	0.0188171i
$134$	4.12650	+	10.8807i	0.356475	+	0.939947i
$135$	−1.22751	+	0.149046i	−0.105647	+	0.0128279i
$136$	−2.67542	−	1.84671i	−0.229415	−	0.158354i
$137$	2.30134	−	9.33692i	0.196617	−	0.797707i	−0.786928	−	0.617045i	$-0.788330\pi$
$137$	2.30134	−	9.33692i	0.196617	−	0.797707i	0.983545	−	0.180662i	$-0.0578241\pi$
$138$	−0.891364	−	3.61641i	−0.0758780	−	0.307849i
$139$	2.17165	+	17.8852i	0.184197	+	1.51700i	0.732527	+	0.680738i	$0.238341\pi$
$139$	2.17165	+	17.8852i	0.184197	+	1.51700i	−0.548330	+	0.836262i	$0.684736\pi$
$140$	0.573744	−	1.51284i	0.0484903	−	0.127858i
$141$	1.12420	−	4.56104i	0.0946743	−	0.384109i
$142$	15.1413	−	3.73199i	1.27063	−	0.313182i
$143$	5.08584	+	5.16388i	0.425300	+	0.431825i
$144$	2.94467	+	0.725795i	0.245389	+	0.0604830i
$145$	1.15386	−	2.19849i	0.0958226	−	0.182575i
$146$	−28.6212			−2.36871
$147$	6.70339			0.552886
$148$	1.69943	−	3.23800i	0.139692	−	0.266162i
$149$	0.662753	+	0.748093i	0.0542948	+	0.0612862i	0.775031	−	0.631924i	$-0.217734\pi$
$149$	0.662753	+	0.748093i	0.0542948	+	0.0612862i	−0.720736	+	0.693210i	$0.756196\pi$
$150$		−	7.28298i		−	0.594653i
$151$	−14.1106	+	15.9276i	−1.14830	+	1.29617i	−0.199643	+	0.979869i	$0.563978\pi$
$151$	−14.1106	+	15.9276i	−1.14830	+	1.29617i	−0.948660	+	0.316297i	$0.897560\pi$
$152$	0.641283	−	0.336571i	0.0520149	−	0.0272995i
$153$	−0.463900	−	3.82056i	−0.0375041	−	0.308874i
$154$	−1.06753	−	2.03401i	−0.0860242	−	0.163905i
$155$	−0.166760	−	1.37339i	−0.0133945	−	0.110313i
$156$	−8.28974	+	2.51411i	−0.663710	+	0.201290i
$157$	0.545136	−	4.48960i	0.0435066	−	0.358309i	−0.954656	−	0.297712i	$-0.903776\pi$
$157$	0.545136	−	4.48960i	0.0435066	−	0.358309i	0.998162	−	0.0605971i	$-0.0193005\pi$
$158$	−0.380738	+	0.144395i	−0.0302899	+	0.0114874i
$159$	−1.14381	−	0.600315i	−0.0907096	−	0.0476081i
$160$	3.53100	−	9.31048i	0.279150	−	0.736058i
$161$	0.449284	+	0.856039i	0.0354085	+	0.0674653i
$162$	−0.975096	−	1.85789i	−0.0766108	−	0.145970i
$163$	2.25460	+	9.14727i	0.176594	+	0.716470i	0.990736	+	0.135804i	$0.0433616\pi$
$163$	2.25460	+	9.14727i	0.176594	+	0.716470i	−0.814142	+	0.580666i	$0.802792\pi$
$164$	2.50024	+	0.303584i	0.195236	+	0.0237059i
$165$	1.86054	+	1.64829i	0.144843	+	0.128319i
$166$	19.2985	+	27.9587i	1.49785	+	2.17002i
$167$	−0.0513400	−	0.0194707i	−0.00397281	−	0.00150669i	0.352618	−	0.935767i	$-0.385292\pi$
$167$	−0.0513400	−	0.0194707i	−0.00397281	−	0.00150669i	−0.356590	+	0.934261i	$0.616061\pi$
$168$	0.460035			0.0354925
$169$	−8.76775	+	9.59826i	−0.674443	+	0.738327i
$170$	−9.98527			−0.765835
$171$	0.801690	+	0.304041i	0.0613068	+	0.0232506i
$172$	−11.0678	−	16.0344i	−0.843909	−	1.22261i
$173$	4.84199	+	4.28963i	0.368130	+	0.326135i	0.826825	−	0.562459i	$-0.190145\pi$
$173$	4.84199	+	4.28963i	0.368130	+	0.326135i	−0.458695	+	0.888594i	$0.651683\pi$
$174$	4.18245	+	0.507841i	0.317071	+	0.0384993i
$175$	0.452400	+	1.83546i	0.0341982	+	0.138748i
$176$	−2.83319	−	5.39819i	−0.213560	−	0.406904i
$177$	2.93841	+	5.59868i	0.220865	+	0.420823i
$178$	1.48193	−	3.90753i	0.111076	−	0.292882i
$179$	9.50695	+	4.98963i	0.710583	+	0.372943i	0.780963	−	0.624578i	$-0.214729\pi$
$179$	9.50695	+	4.98963i	0.710583	+	0.372943i	−0.0703800	+	0.997520i	$0.522421\pi$
$180$	−2.77778	+	1.05347i	−0.207043	+	0.0785211i
$181$	−2.10074	+	17.3012i	−0.156147	+	1.28599i	0.678254	+	0.734828i	$0.262737\pi$
$181$	−2.10074	+	17.3012i	−0.156147	+	1.28599i	−0.834401	+	0.551158i	$0.814186\pi$
$182$	3.54213	−	2.10464i	0.262560	−	0.156006i
$183$	0.842646	+	6.93982i	0.0622902	+	0.513006i
$184$	−0.696820	−	1.32768i	−0.0513703	−	0.0978778i
$185$	−0.226858	−	1.86834i	−0.0166789	−	0.137363i
$186$	2.07869	−	1.09098i	0.152417	−	0.0799946i
$187$	−5.13023	+	5.79083i	−0.375159	+	0.423467i
$188$		−	11.2862i		−	0.823129i
$189$	0.361152	+	0.407656i	0.0262699	+	0.0296526i
$190$	1.03380	−	1.96974i	0.0749998	−	0.142900i
$191$	5.00553			0.362188			0.181094	−	0.983466i	$-0.442036\pi$
$191$	5.00553			0.362188			0.181094	+	0.983466i	$0.442036\pi$
$192$	10.8312			0.781674
$193$	0.355014	−	0.676422i	0.0255544	−	0.0486899i	−0.872344	−	0.488892i	$-0.837401\pi$
$193$	0.355014	−	0.676422i	0.0255544	−	0.0486899i	0.897899	+	0.440203i	$0.145093\pi$
$194$	−19.0763	−	4.70190i	−1.36960	−	0.337577i
$195$	−2.77618	+	3.48850i	−0.198807	+	0.249817i
$196$	15.6374	−	3.85426i	1.11695	−	0.275305i
$197$	2.75486	−	11.1769i	0.196276	−	0.796322i	−0.787411	−	0.616429i	$-0.788579\pi$
$197$	2.75486	−	11.1769i	0.196276	−	0.796322i	0.983686	−	0.179893i	$-0.0575751\pi$
$198$	−1.49567	+	3.94376i	−0.106293	+	0.280271i
$199$	−0.293627	−	2.41824i	−0.0208147	−	0.171424i	0.978594	−	0.205799i	$-0.0659792\pi$
$199$	−0.293627	−	2.41824i	−0.0208147	−	0.171424i	−0.999409	+	0.0343744i	$0.989056\pi$
$200$	−0.701653	−	2.84672i	−0.0496144	−	0.201293i
$201$	−1.32726	+	5.38489i	−0.0936174	+	0.379821i
$202$	1.66633	+	1.15019i	0.117243	+	0.0809268i
$203$	−1.08561	+	0.131817i	−0.0761947	+	0.00925172i
$204$	−3.27888	−	8.64570i	−0.229568	−	0.605320i
$205$	1.14776	−	0.602392i	0.0801632	−	0.0420729i
$206$	−2.05391	−	8.33302i	−0.143102	−	0.580589i
$207$	0.629471	−	1.65978i	0.0437513	−	0.115363i
$208$	9.40068	−	5.58563i	0.651820	−	0.387294i
$209$	−0.611182	−	1.61155i	−0.0422763	−	0.111473i
$210$	1.16290	−	0.802691i	0.0802477	−	0.0553910i
$211$	3.94119	−	3.49159i	0.271323	−	0.240371i	−0.516479	−	0.856300i	$-0.672758\pi$
$211$	3.94119	−	3.49159i	0.271323	−	0.240371i	0.787802	+	0.615929i	$0.211219\pi$
$212$	−3.01338	−	0.742732i	−0.206960	−	0.0510111i
$213$	6.94922	+	2.63549i	0.476152	+	0.180581i
$214$	3.51952	−	6.70588i	0.240589	−	0.458405i
$215$	−9.37577	−	3.55576i	−0.639422	−	0.242501i
$216$	−0.560130	−	0.632257i	−0.0381120	−	0.0430196i
$217$	−0.456104	+	0.404073i	−0.0309623	+	0.0274302i
$218$	−7.16869	+	10.3856i	−0.485525	+	0.703404i
$219$	−11.2260	−	7.74876i	−0.758584	−	0.523613i
$220$	5.28790	+	2.77530i	0.356510	+	0.187111i
$221$	−10.8578	−	8.64074i	−0.730374	−	0.581239i
$222$	2.82783	−	1.48416i	0.189792	−	0.0996103i
$223$	1.75122	+	0.212637i	0.117271	+	0.0142392i	0.178962	−	0.983856i	$-0.442726\pi$
$223$	1.75122	+	0.212637i	0.117271	+	0.0142392i	−0.0616909	+	0.998095i	$0.519649\pi$
$224$	−4.25833	+	1.04959i	−0.284522	+	0.0701284i
$225$	1.97176	−	2.85659i	0.131451	−	0.190439i
$226$	−18.1609	+	12.5356i	−1.20805	+	0.833855i
$227$	11.8764	−	13.4057i	0.788264	−	0.889766i	−0.207821	−	0.978167i	$-0.566637\pi$
$227$	11.8764	−	13.4057i	0.788264	−	0.889766i	0.996085	+	0.0884005i	$0.0281755\pi$
$228$	2.04496	+	0.248304i	0.135431	+	0.0164443i
$229$	−6.10332	+	24.7621i	−0.403319	+	1.63633i	0.321155	+	0.947027i	$0.395929\pi$
$229$	−6.10332	+	24.7621i	−0.403319	+	1.63633i	−0.724474	+	0.689302i	$0.757917\pi$
$230$	−4.07806	−	2.14033i	−0.268899	−	0.141129i
$231$	0.131963	−	1.08681i	0.00868254	−	0.0715072i
$232$	1.68373	−	0.204442i	0.110542	−	0.0134223i
$233$	−6.84140	+	9.91148i	−0.448195	+	0.649323i	−0.980337	−	0.197333i	$-0.936772\pi$
$233$	−6.84140	+	9.91148i	−0.448195	+	0.649323i	0.532141	+	0.846655i	$0.321387\pi$
$234$	−7.20538	−	2.30562i	−0.471031	−	0.150723i
$235$	−3.29967	−	4.78040i	−0.215247	−	0.311839i
$236$	10.0737	+	11.3708i	0.655741	+	0.740179i
$237$	−0.188429	−	0.0464435i	−0.0122398	−	0.00301683i
$238$	2.49834	+	3.61947i	0.161943	+	0.234615i
$239$			16.6341i			1.07597i	0.842954	+	0.537985i	$0.180814\pi$
$239$			16.6341i			1.07597i	−0.842954	+	0.537985i	$0.819186\pi$
$240$	3.08629	−	2.13031i	0.199219	−	0.137511i
$241$	−1.64759	+	0.200054i	−0.106131	+	0.0128866i	−0.173430	−	0.984846i	$-0.555485\pi$
$241$	−1.64759	+	0.200054i	−0.106131	+	0.0128866i	0.0672991	+	0.997733i	$0.478562\pi$
$242$	−13.6530	+	5.17788i	−0.877645	+	0.332847i
$243$	0.120537	−	0.992709i	0.00773243	−	0.0636823i
$244$	5.95589	+	15.7044i	0.381287	+	1.00537i
$245$	5.49655	−	6.20432i	0.351162	−	0.396380i
$246$	1.64640	+	1.45858i	0.104970	+	0.0929956i
$247$	2.82865	−	1.24726i	0.179983	−	0.0793614i
$248$	0.707397	−	0.626699i	0.0449197	−	0.0397954i
$249$			16.1910i			1.02606i
$250$	−16.4509	−	14.5742i	−1.04044	−	0.921753i
$251$	22.9602	−	5.65917i	1.44923	−	0.357204i	0.565326	−	0.824868i	$-0.308750\pi$
$251$	22.9602	−	5.65917i	1.44923	−	0.357204i	0.883906	+	0.467664i	$0.154904\pi$
$252$	1.07687	+	0.743309i	0.0678364	+	0.0468241i
$253$	−3.33648	+	1.26536i	−0.209763	+	0.0795524i
$254$	2.85403	−	1.08239i	0.179078	−	0.0679152i
$255$	−3.91650	−	2.70336i	−0.245261	−	0.169291i
$256$	−7.54505	+	1.85969i	−0.471566	+	0.116231i
$257$	−10.2452	−	9.07645i	−0.639078	−	0.566174i	0.280122	−	0.959964i	$-0.409625\pi$
$257$	−10.2452	−	9.07645i	−0.639078	−	0.566174i	−0.919200	+	0.393791i	$0.871163\pi$
$258$		−	17.0153i		−	1.05932i
$259$	−0.620479	+	0.549696i	−0.0385547	+	0.0341565i
$260$	−4.47037	+	9.73405i	−0.277241	+	0.603680i
$261$	1.50298	+	1.33152i	0.0930322	+	0.0824193i
$262$	28.7530	−	32.4554i	1.77636	−	2.00510i
$263$	9.08498	+	23.9551i	0.560204	+	1.47714i	0.853489	+	0.521111i	$0.174482\pi$
$263$	9.08498	+	23.9551i	0.560204	+	1.47714i	−0.293285	+	0.956025i	$0.594749\pi$
$264$	−0.204669	+	1.68560i	−0.0125965	+	0.103742i
$265$	−1.49350	+	0.566411i	−0.0917452	+	0.0347944i
$266$	−0.972654	+	0.118102i	−0.0596372	+	0.00724127i
$267$	1.63916	−	1.13143i	0.100315	−	0.0692425i
$268$			13.3248i			0.813940i
$269$	1.62196	+	2.34982i	0.0988927	+	0.143271i	0.869307	−	0.494273i	$-0.164566\pi$
$269$	1.62196	+	2.34982i	0.0988927	+	0.143271i	−0.770414	+	0.637544i	$0.779950\pi$
$270$	−2.51912	−	0.620907i	−0.153309	−	0.0377872i
$271$	−10.2781	−	11.6016i	−0.624350	−	0.704745i	0.348205	−	0.937418i	$-0.386791\pi$
$271$	−10.2781	−	11.6016i	−0.624350	−	0.704745i	−0.972555	+	0.232673i	$0.925253\pi$
$272$	6.63049	+	9.60592i	0.402033	+	0.582445i
$273$	1.95912	+	0.133482i	0.118571	+	0.00807871i
$274$	11.4620	−	16.6056i	0.692447	−	1.00318i
$275$	−6.92654	+	0.841034i	−0.417686	+	0.0507162i
$276$	0.514075	−	4.23379i	0.0309437	−	0.254844i
$277$	−27.2172	−	14.2847i	−1.63532	−	0.858283i	−0.996001	−	0.0893422i	$-0.971524\pi$
$277$	−27.2172	−	14.2847i	−1.63532	−	0.858283i	−0.639320	−	0.768941i	$-0.720784\pi$
$278$	−9.04681	+	36.7044i	−0.542592	+	2.20138i
$279$	1.11069	+	0.134862i	0.0664951	+	0.00807397i
$280$	0.377213	−	0.425786i	0.0225428	−	0.0254456i
$281$	9.65526	−	6.66454i	0.575984	−	0.397573i	−0.244156	−	0.969736i	$-0.578511\pi$
$281$	9.65526	−	6.66454i	0.575984	−	0.397573i	0.820140	+	0.572163i	$0.193895\pi$
$282$	5.59914	−	8.11176i	0.333424	−	0.483048i
$283$	9.51297	−	2.34474i	0.565487	−	0.139380i	0.0537998	−	0.998552i	$-0.482867\pi$
$283$	9.51297	−	2.34474i	0.565487	−	0.139380i	0.511687	+	0.859172i	$0.329021\pi$
$284$	17.7262	+	2.15235i	1.05185	+	0.127718i
$285$	0.938764	−	0.492701i	0.0556076	−	0.0291851i
$286$	6.13567	+	13.9150i	0.362810	+	0.822811i
$287$	−0.505528	−	0.265322i	−0.0298404	−	0.0156615i
$288$	6.62739	+	4.57455i	0.390523	+	0.269558i
$289$	−1.24301	+	1.80081i	−0.0731181	+	0.105930i
$290$	3.89950	−	3.45465i	0.228986	−	0.202864i
$291$	−6.20930	−	7.00885i	−0.363996	−	0.410866i
$292$	−30.6429	−	11.6213i	−1.79324	−	0.680086i
$293$	−0.0953692	+	0.181711i	−0.00557153	+	0.0106157i	−0.888226	−	0.459407i	$-0.848062\pi$
$293$	−0.0953692	+	0.181711i	−0.00557153	+	0.0106157i	0.882654	+	0.470023i	$0.155754\pi$
$294$	13.1512	+	4.98761i	0.766996	+	0.290883i
$295$	7.59126	+	1.87108i	0.441980	+	0.108938i
$296$	0.962335	−	0.852555i	0.0559346	−	0.0495537i
$297$	−1.65436	+	1.14192i	−0.0959956	+	0.0662609i
$298$	0.743628	+	1.96079i	0.0430772	+	0.113585i
$299$	−2.58227	−	5.85629i	−0.149336	−	0.338678i
$300$	2.95718	−	7.79743i	0.170733	−	0.450185i
$301$	1.05695	+	4.28820i	0.0609213	+	0.247168i
$302$	−39.5340	+	20.7491i	−2.27493	+	1.19397i
$303$	0.342186	+	0.902270i	0.0196581	+	0.0518340i
$304$	−2.58138	+	0.313437i	−0.148052	+	0.0179768i
$305$	7.11409	+	4.91050i	0.407352	+	0.281175i
$306$	1.93254	−	7.84063i	0.110476	−	0.448219i
$307$	1.46622	+	5.94870i	0.0836817	+	0.339510i	0.997828	−	0.0658746i	$-0.0209837\pi$
$307$	1.46622	+	5.94870i	0.0836817	+	0.339510i	−0.914146	+	0.405385i	$0.867138\pi$
$308$	−0.317051	−	2.61115i	−0.0180657	−	0.148784i
$309$	1.45044	−	3.82450i	0.0825128	−	0.217568i
$310$	0.694698	−	2.81850i	0.0394562	−	0.160080i
$311$	7.77450	−	1.91624i	0.440852	−	0.108660i	−0.0126412	−	0.999920i	$-0.504024\pi$
$311$	7.77450	−	1.91624i	0.440852	−	0.108660i	0.453493	+	0.891260i	$0.350178\pi$
$312$	−3.03851	−	0.207025i	−0.172022	−	0.0117205i
$313$	17.6093	+	4.34030i	0.995335	+	0.245328i	0.703156	−	0.711036i	$-0.251774\pi$
$313$	17.6093	+	4.34030i	0.995335	+	0.245328i	0.292179	+	0.956364i	$0.405620\pi$
$314$	4.40995	−	8.40245i	0.248868	−	0.474178i
$315$	0.673438			0.0379439
$316$	−0.466262			−0.0262293
$317$	−9.09714	+	17.3331i	−0.510946	+	0.973527i	0.484185	+	0.874966i	$0.339116\pi$
$317$	−9.09714	+	17.3331i	−0.510946	+	0.973527i	−0.995131	+	0.0985609i	$0.968576\pi$
$318$	−1.79735	−	2.02879i	−0.100790	−	0.113769i
$319$		−	4.03639i		−	0.225995i
$320$	8.88121	−	10.0248i	0.496475	−	0.560404i
$321$	3.19597	−	1.67738i	0.178382	−	0.0936220i
$322$	0.244511	+	2.01373i	0.0136261	+	0.112221i
$323$	1.53351	+	2.92186i	0.0853268	+	0.162577i
$324$	−0.289598	−	2.38505i	−0.0160888	−	0.132503i
$325$	−2.16209	−	12.3267i	−0.119931	−	0.683764i
$326$	−2.38271	+	19.6234i	−0.131966	+	1.08684i
$327$	−5.62351	+	2.13272i	−0.310981	+	0.117940i
$328$	0.784053	+	0.411503i	0.0432921	+	0.0227214i
$329$	−0.907216	+	2.39213i	−0.0500165	+	0.131883i
$330$	2.42375	+	4.61807i	0.133423	+	0.254216i
$331$	0.0129834	+	0.0247377i	0.000713630	+	0.00135971i	0.885813	−	0.464043i	$-0.153602\pi$
$331$	0.0129834	+	0.0247377i	0.000713630	+	0.00135971i	−0.885099	+	0.465403i	$0.845909\pi$
$332$	9.30936	+	37.7696i	0.510918	+	2.07287i
$333$	1.51097	+	0.183465i	0.0828005	+	0.0100538i
$334$	−0.0862358	−	0.0763983i	−0.00471861	−	0.00418033i
$335$	3.89568	+	5.64387i	0.212844	+	0.308358i
$336$	−1.54439	−	0.585711i	−0.0842536	−	0.0319532i
$337$	8.79581			0.479138			0.239569	−	0.970879i	$-0.422994\pi$
$337$	8.79581			0.479138			0.239569	+	0.970879i	$0.422994\pi$
$338$	−24.3428	+	12.3070i	−1.32407	+	0.669415i
$339$	−10.5170			−0.571208
$340$	−10.6906	−	4.05441i	−0.579779	−	0.219881i
$341$	−1.27763	−	1.85097i	−0.0691876	−	0.100236i
$342$	1.34660	+	1.19298i	0.0728158	+	0.0645092i
$343$	−7.40876	−	0.899586i	−0.400035	−	0.0485731i
$344$	−1.63928	−	6.65081i	−0.0883839	−	0.358588i
$345$	−1.02006	−	1.94357i	−0.0549184	−	0.104638i
$346$	6.30774	+	12.0184i	0.339106	+	0.646112i
$347$	−1.57560	+	4.15452i	−0.0845827	+	0.223026i	−0.970634	−	0.240561i	$-0.922669\pi$
$347$	−1.57560	+	4.15452i	−0.0845827	+	0.223026i	0.886051	+	0.463587i	$0.153438\pi$
$348$	4.27168	+	2.24195i	0.228986	+	0.120181i
$349$	16.1602	−	6.12877i	0.865038	−	0.328066i	0.118134	−	0.992998i	$-0.462309\pi$
$349$	16.1602	−	6.12877i	0.865038	−	0.328066i	0.746904	+	0.664932i	$0.231539\pi$
$350$	−0.478106	+	3.93756i	−0.0255558	+	0.210471i
$351$	−2.20194	−	2.85508i	−0.117531	−	0.152393i
$352$	−1.95123	−	16.0698i	−0.104001	−	0.856524i
$353$	14.7503	+	28.1044i	0.785081	+	1.49585i	0.866505	+	0.499168i	$0.166361\pi$
$353$	14.7503	+	28.1044i	0.785081	+	1.49585i	−0.0814241	+	0.996680i	$0.525947\pi$
$354$	1.59916	+	13.1702i	0.0849942	+	0.699990i
$355$	8.13740	−	4.27084i	0.431888	−	0.226672i
$356$	3.17322	−	3.58183i	0.168180	−	0.189836i
$357$			2.09604i			0.110934i
$358$	14.9390	+	16.8626i	0.789550	+	0.891218i
$359$	2.81049	−	5.35494i	0.148332	−	0.282623i	−0.799941	−	0.600078i	$-0.795136\pi$
$359$	2.81049	−	5.35494i	0.148332	−	0.282623i	0.948273	+	0.317455i	$0.102828\pi$
$360$	−1.04447			−0.0550486
$361$	18.2649			0.961308
$362$	−16.9942	+	32.3798i	−0.893196	+	1.70184i
$363$	−6.75690	−	1.66543i	−0.354645	−	0.0874122i
$364$	4.64690	−	0.815061i	0.243564	−	0.0427208i
$365$	−16.3768	+	4.03652i	−0.857202	+	0.211281i
$366$	−3.51035	+	14.2420i	−0.183489	+	0.744444i
$367$	10.0953	−	26.6191i	0.526971	−	1.38951i	−0.362272	−	0.932072i	$-0.617999\pi$
$367$	10.0953	−	26.6191i	0.526971	−	1.38951i	0.889243	−	0.457436i	$-0.151232\pi$
$368$	0.648923	+	5.34436i	0.0338275	+	0.278594i
$369$	0.250873	+	1.01783i	0.0130599	+	0.0529862i
$370$	0.945060	−	3.83426i	0.0491313	−	0.199334i
$371$	0.578991	+	0.399649i	0.0300597	+	0.0207487i
$372$	2.66850	−	0.324015i	0.138356	−	0.0167994i
$373$	−2.33642	−	6.16063i	−0.120975	−	0.318985i	0.860825	−	0.508901i	$-0.169948\pi$
$373$	−2.33642	−	6.16063i	−0.120975	−	0.318985i	−0.981800	+	0.189915i	$0.939179\pi$
$374$	−14.3735	+	7.54380i	−0.743237	+	0.390081i
$375$	−2.50674	−	10.1702i	−0.129447	−	0.525188i
$376$	1.40705	−	3.71010i	0.0725632	−	0.191334i
$377$	7.22972	−	0.382099i	0.372349	−	0.0196791i
$378$	0.405222	+	1.06848i	0.0208424	+	0.0549569i
$379$	17.0826	−	11.7913i	0.877474	−	0.605677i	−0.0418735	−	0.999123i	$-0.513333\pi$
$379$	17.0826	−	11.7913i	0.877474	−	0.605677i	0.919348	+	0.393446i	$0.128717\pi$
$380$	1.90662	−	1.68912i	0.0978074	−	0.0866498i
$381$	1.41247	+	0.348142i	0.0723630	+	0.0178359i
$382$	9.82025	+	3.72433i	0.502448	+	0.190553i
$383$	3.29619	−	6.28037i	0.168428	−	0.320912i	−0.786582	−	0.617485i	$-0.788152\pi$
$383$	3.29619	−	6.28037i	0.168428	−	0.320912i	0.955010	+	0.296573i	$0.0958438\pi$
$384$	6.19036	+	2.34770i	0.315901	+	0.119805i
$385$	−0.897696	−	1.01329i	−0.0457508	−	0.0516420i
$386$	1.19978	−	1.06291i	0.0610672	−	0.0541008i
$387$	4.60663	−	6.67386i	0.234168	−	0.339251i
$388$	−18.5147	−	12.7798i	−0.939941	−	0.648794i
$389$	16.1346	+	8.46810i	0.818057	+	0.429350i	0.821197	−	0.570645i	$-0.193307\pi$
$389$	16.1346	+	8.46810i	0.818057	+	0.429350i	−0.00313921	+	0.999995i	$0.500999\pi$
$390$	−8.04213	+	4.77842i	−0.407229	+	0.241965i
$391$	6.04927	−	3.17490i	0.305925	−	0.160562i
$392$	5.62097	+	0.682510i	0.283902	+	0.0344719i
$393$	20.0645	−	4.94546i	1.01212	−	0.249465i
$394$	13.7208	−	19.8780i	0.691244	−	1.00144i
$395$	−0.197491	+	0.136318i	−0.00993684	+	0.00685891i
$396$	−3.20264	+	3.61503i	−0.160939	+	0.181662i
$397$	−18.2911	−	2.22094i	−0.918002	−	0.111466i	−0.352123	−	0.935954i	$-0.614540\pi$
$397$	−18.2911	−	2.22094i	−0.918002	−	0.111466i	−0.565879	+	0.824488i	$0.691463\pi$
$398$	1.22321	−	4.96276i	0.0613140	−	0.248761i
$399$	−0.413476	−	0.217009i	−0.0206997	−	0.0108640i
$400$	−1.26887	+	10.4501i	−0.0634437	+	0.522506i
$401$	−23.3122	+	2.83062i	−1.16416	+	0.141354i	−0.679720	−	0.733472i	$-0.737899\pi$
$401$	−23.3122	+	2.83062i	−1.16416	+	0.141354i	−0.484437	+	0.874826i	$0.660976\pi$
$402$	−6.61050	+	9.57697i	−0.329702	+	0.477656i
$403$	3.19439	−	2.46363i	0.159124	−	0.122722i
$404$	1.31702	+	1.90803i	0.0655240	+	0.0949279i
$405$	−0.819966	−	0.925550i	−0.0407444	−	0.0459910i
$406$	−2.22791	−	0.549130i	−0.110569	−	0.0272529i
$407$	−1.73808	−	2.51804i	−0.0861533	−	0.124815i
$408$		−	3.25087i		−	0.160942i
$409$	5.66064	−	3.90726i	0.279901	−	0.193202i	−0.419840	−	0.907598i	$-0.637914\pi$
$409$	5.66064	−	3.90726i	0.279901	−	0.193202i	0.699741	+	0.714396i	$0.253299\pi$
$410$	2.69998	−	0.327837i	0.133342	−	0.0161907i
$411$	8.99145	−	3.41001i	0.443516	−	0.168203i
$412$	1.18454	−	9.75560i	0.0583583	−	0.480624i
$413$	−1.22112	−	3.21983i	−0.0600875	−	0.158438i
$414$	2.46989	−	2.78793i	0.121389	−	0.137019i
$415$	14.9856	+	13.2760i	0.735612	+	0.651695i
$416$	28.5985	−	5.01613i	1.40216	−	0.245936i
$417$	−13.4856	+	11.9472i	−0.660391	+	0.585055i
$418$		−	3.61642i		−	0.176885i
$419$	5.77082	+	5.11250i	0.281923	+	0.249762i	0.792219	−	0.610237i	$-0.208926\pi$
$419$	5.77082	+	5.11250i	0.281923	+	0.249762i	−0.510296	+	0.859999i	$0.670464\pi$
$420$	1.57097	−	0.387209i	0.0766553	−	0.0188938i
$421$	−28.0124	−	19.3356i	−1.36524	−	0.942359i	−0.999934	−	0.0114722i	$-0.996348\pi$
$421$	−28.0124	−	19.3356i	−1.36524	−	0.942359i	−0.365308	−	0.930887i	$-0.619036\pi$
$422$	10.3300	−	3.91767i	0.502859	−	0.190709i
$423$	4.39228	−	1.66577i	0.213560	−	0.0809926i
$424$	−0.897990	−	0.619838i	−0.0436103	−	0.0301020i
$425$	12.9704	−	3.19692i	0.629158	−	0.155073i
$426$	11.6726	+	10.3410i	0.565540	+	0.501024i
$427$		−	3.80734i		−	0.184250i
$428$	6.49098	−	5.75050i	0.313753	−	0.277961i
$429$	−1.36070	+	7.11898i	−0.0656952	+	0.343708i
$430$	−15.7485	−	13.9520i	−0.759460	−	0.672823i
$431$	−0.744425	+	0.840282i	−0.0358577	+	0.0404750i	−0.766166	−	0.642643i	$-0.777838\pi$
$431$	−0.744425	+	0.840282i	−0.0358577	+	0.0404750i	0.730308	+	0.683118i	$0.239376\pi$
$432$	1.07544	+	2.83571i	0.0517423	+	0.136433i
$433$	3.80141	−	31.3074i	0.182684	−	1.50454i	−0.556394	−	0.830919i	$-0.687816\pi$
$433$	3.80141	−	31.3074i	0.182684	−	1.50454i	0.739078	−	0.673620i	$-0.235261\pi$
$434$	−1.19547	+	0.453381i	−0.0573843	+	0.0217630i
$435$	2.46479	−	0.299279i	0.118177	−	0.0143493i
$436$	−11.8920	+	8.20848i	−0.569525	+	0.393115i
$437$			1.52201i			0.0728078i
$438$	−16.2587	−	23.5548i	−0.776870	−	1.12549i
$439$	31.6334	+	7.79694i	1.50978	+	0.372128i	0.905397	−	0.424566i	$-0.139573\pi$
$439$	31.6334	+	7.79694i	1.50978	+	0.372128i	0.604384	+	0.796693i	$0.293419\pi$
$440$	1.39229	+	1.57157i	0.0663747	+	0.0749216i
$441$	3.80796	+	5.51678i	0.181331	+	0.262704i
$442$	−14.8726	−	25.0308i	−0.707417	−	1.19059i
$443$	−9.54445	+	13.8275i	−0.453471	+	0.656966i	−0.981322	−	0.192371i	$-0.938382\pi$
$443$	−9.54445	+	13.8275i	−0.453471	+	0.656966i	0.527852	+	0.849337i	$0.322998\pi$
$444$	3.63021	−	0.440787i	0.172282	−	0.0209188i
$445$	0.296860	−	2.44486i	0.0140725	−	0.115898i
$446$	3.27748	+	1.72015i	0.155193	+	0.0814516i
$447$	−0.239182	+	0.970400i	−0.0113129	+	0.0458984i
$448$	−5.85590	−	0.711035i	−0.276665	−	0.0335933i
$449$	15.7248	−	17.7497i	0.742101	−	0.837659i	−0.249312	−	0.968423i	$-0.580205\pi$
$449$	15.7248	−	17.7497i	0.742101	−	0.837659i	0.991414	+	0.130764i	$0.0417431\pi$
$450$	5.99378	−	4.13721i	0.282549	−	0.195030i
$451$	1.19707	−	1.73425i	0.0563677	−	0.0816628i
$452$	−24.5337	+	6.04702i	−1.15397	+	0.284428i
$453$	−21.1238	−	2.56490i	−0.992485	−	0.120509i
$454$	33.2745	−	17.4638i	1.56165	−	0.819616i
$455$	1.72996	−	1.70382i	0.0811017	−	0.0798761i
$456$	0.641283	+	0.336571i	0.0300308	+	0.0157614i
$457$	6.59077	+	4.54928i	0.308303	+	0.212806i	0.712162	−	0.702015i	$-0.247716\pi$
$457$	6.59077	+	4.54928i	0.308303	+	0.212806i	−0.403859	+	0.914821i	$0.632331\pi$
$458$	−30.3981	+	44.0392i	−1.42041	+	2.05782i
$459$	2.88073	−	2.55211i	0.134461	−	0.119122i
$460$	−3.49706	−	3.94736i	−0.163051	−	0.184047i
$461$	15.8261	+	6.00204i	0.737094	+	0.279543i	0.694444	−	0.719547i	$-0.255651\pi$
$461$	15.8261	+	6.00204i	0.737094	+	0.279543i	0.0426506	+	0.999090i	$0.486420\pi$
$462$	1.06753	−	2.03401i	0.0496661	−	0.0946309i
$463$	−28.8301	−	10.9338i	−1.33985	−	0.508138i	−0.422551	−	0.906339i	$-0.638865\pi$
$463$	−28.8301	−	10.9338i	−1.33985	−	0.508138i	−0.917298	+	0.398201i	$0.869634\pi$
$464$	−5.91278	−	1.45737i	−0.274494	−	0.0676567i
$465$	1.03555	−	0.917415i	0.0480224	−	0.0425441i
$466$	−20.7966	+	14.3548i	−0.963383	+	0.664975i
$467$	−14.4910	−	38.2097i	−0.670565	−	1.76813i	−0.639717	−	0.768611i	$-0.720948\pi$
$467$	−14.4910	−	38.2097i	−0.670565	−	1.76813i	−0.0308484	−	0.999524i	$-0.509821\pi$
$468$	−6.77818	−	5.39414i	−0.313321	−	0.249344i
$469$	1.07109	−	2.82422i	0.0494581	−	0.130410i
$470$	−2.91673	−	11.8337i	−0.134539	−	0.545846i
$471$	4.00454	−	2.10175i	0.184520	−	0.0968434i
$472$	1.89391	+	4.99382i	0.0871741	+	0.229859i
$473$	−16.1825	+	1.96491i	−0.744073	+	0.0903468i
$474$	−0.335118	−	0.231315i	−0.0153925	−	0.0106247i
$475$	−0.712221	+	2.88959i	−0.0326789	+	0.132584i
$476$	1.20517	+	4.88956i	0.0552388	+	0.224113i
$477$	−0.155706	−	1.28235i	−0.00712927	−	0.0587148i
$478$	−12.3765	+	32.6341i	−0.566087	+	1.49265i
$479$	0.0875828	−	0.355338i	0.00400176	−	0.0162358i	−0.968907	−	0.247425i	$-0.920416\pi$
$479$	0.0875828	−	0.355338i	0.00400176	−	0.0162358i	0.972909	+	0.231189i	$0.0742617\pi$
$480$	9.66821	−	2.38300i	0.441292	−	0.108769i
$481$	4.34561	−	3.35149i	0.198143	−	0.152815i
$482$	−3.38122	−	0.833396i	−0.154010	−	0.0379602i
$483$	−0.449284	+	0.856039i	−0.0204431	+	0.0389511i
$484$	−16.7198			−0.759990
$485$	−11.5785			−0.525751
$486$	0.975096	−	1.85789i	0.0442313	−	0.0842756i
$487$	−27.1397	−	30.6344i	−1.22982	−	1.38818i	−0.895105	−	0.445855i	$-0.852900\pi$
$487$	−27.1397	−	30.6344i	−1.22982	−	1.38818i	−0.334711	−	0.942321i	$-0.608639\pi$
$488$			5.90502i			0.267308i
$489$	−6.24730	+	7.05174i	−0.282513	+	0.318891i
$490$	15.3998	−	8.08246i	0.695694	−	0.365128i
$491$	−2.00626	−	16.5230i	−0.0905410	−	0.745673i	−0.965305	−	0.261124i	$-0.915907\pi$
$491$	−2.00626	−	16.5230i	−0.0905410	−	0.745673i	0.874764	−	0.484549i	$-0.161016\pi$
$492$	1.17045	+	2.23011i	0.0527680	+	0.100541i
$493$	0.931493	+	7.67153i	0.0419523	+	0.345508i
$494$	6.47749	−	0.342342i	0.291436	−	0.0154027i
$495$	−0.299612	+	2.46753i	−0.0134666	+	0.110907i
$496$	−3.17272	+	1.20326i	−0.142459	+	0.0540277i
$497$	−3.58409	−	1.88108i	−0.160769	−	0.0843778i
$498$	−12.0468	+	31.7647i	−0.539829	+	1.42341i
$499$	−14.6018	−	27.8213i	−0.653665	−	1.24545i	−0.956311	−	0.292351i	$-0.905562\pi$
$499$	−14.6018	−	27.8213i	−0.653665	−	1.24545i	0.302646	−	0.953103i	$-0.402130\pi$
$500$	−11.6952	−	22.2833i	−0.523025	−	0.996542i
$501$	−0.0131404	−	0.0533126i	−0.000587068	−	0.00238183i
$502$	49.2557	+	5.98073i	2.19839	+	0.266933i
$503$	10.8032	+	9.57076i	0.481689	+	0.426739i	0.868702	−	0.495335i	$-0.164955\pi$
$503$	10.8032	+	9.57076i	0.481689	+	0.426739i	−0.387013	+	0.922074i	$0.626493\pi$
$504$	0.261330	+	0.378601i	0.0116405	+	0.0168642i
$505$	1.11568	+	0.423120i	0.0496470	+	0.0188286i
$506$	−7.48725			−0.332849
$507$	−12.8799	−	1.76329i	−0.572015	−	0.0783104i
$508$	3.49512			0.155071
$509$	−27.7440	−	10.5219i	−1.22973	−	0.466376i	−0.347718	−	0.937599i	$-0.613043\pi$
$509$	−27.7440	−	10.5219i	−1.22973	−	0.466376i	−0.882014	+	0.471223i	$0.843813\pi$
$510$	−5.67228	−	8.21772i	−0.251173	−	0.363887i
$511$	5.56068	+	4.92633i	0.245990	+	0.217928i
$512$	−29.3308	−	3.56141i	−1.29625	−	0.157393i
$513$	0.205191	+	0.832493i	0.00905941	+	0.0367555i
$514$	−13.3466	−	25.4298i	−0.588692	−	1.12166i
$515$	−2.35046	−	4.47842i	−0.103574	−	0.197343i
$516$	6.90887	−	18.2172i	0.304146	−	0.801967i
$517$	−8.36134	−	4.38837i	−0.367731	−	0.193000i
$518$	−1.62630	+	0.616775i	−0.0714556	+	0.0270995i
$519$	−0.779732	+	6.42167i	−0.0342264	+	0.281880i
$520$	−2.68309	+	2.64254i	−0.117661	+	0.115883i
$521$	−3.27711	−	26.9894i	−0.143573	−	1.18243i	−0.869243	−	0.494384i	$-0.835394\pi$
$521$	−3.27711	−	26.9894i	−0.143573	−	1.18243i	0.725671	−	0.688042i	$-0.241530\pi$
$522$	1.95796	+	3.73057i	0.0856974	+	0.163283i
$523$	0.866812	+	7.13884i	0.0379031	+	0.312160i	0.999314	+	0.0370424i	$0.0117936\pi$
$523$	0.866812	+	7.13884i	0.0379031	+	0.312160i	−0.961411	+	0.275117i	$0.911283\pi$
$524$	43.9621	−	23.0731i	1.92049	−	1.00795i
$525$	−1.25356	+	1.41498i	−0.0547099	+	0.0617547i
$526$			53.7567i			2.34390i
$527$	2.85541	+	3.22309i	0.124384	+	0.140400i
$528$	2.83319	−	5.39819i	0.123299	−	0.234926i
$529$	−19.8489			−0.862996
$530$	−3.35151			−0.145580
$531$	−2.93841	+	5.59868i	−0.127516	+	0.242962i
$532$	−1.08931	−	0.268491i	−0.0472277	−	0.0116406i
$533$	3.21960	+	1.97994i	0.139456	+	0.0857607i
$534$	4.05767	−	1.00013i	0.175593	−	0.0432797i
$535$	1.06809	−	4.33342i	0.0461777	−	0.187350i
$536$	−1.66121	+	4.38024i	−0.0717532	+	0.189198i
$537$	1.29418	+	10.6585i	0.0558478	+	0.459948i
$538$	1.43373	+	5.81686i	0.0618124	+	0.250783i
$539$	3.22480	−	13.0835i	0.138902	−	0.563548i
$540$	−2.44495	−	1.68763i	−0.105214	−	0.0726238i
$541$	−7.48675	+	0.909056i	−0.321880	+	0.0390834i	−0.279882	−	0.960034i	$-0.590295\pi$
$541$	−7.48675	+	0.909056i	−0.321880	+	0.0390834i	−0.0419982	+	0.999118i	$0.513372\pi$
$542$	−11.5323	−	30.4082i	−0.495355	−	1.30614i
$543$	−15.4319	+	8.09931i	−0.662248	+	0.347575i
$544$	7.41698	+	30.0919i	0.318000	+	1.29018i
$545$	−2.63715	+	6.95360i	−0.112963	+	0.297860i
$546$	3.74425	+	1.71955i	0.160239	+	0.0735898i
$547$	−6.91203	−	18.2255i	−0.295537	−	0.779267i	−0.997734	−	0.0672841i	$-0.978567\pi$
$547$	−6.91203	−	18.2255i	−0.295537	−	0.779267i	0.702197	−	0.711983i	$-0.252203\pi$
$548$	19.0142	−	13.1246i	0.812246	−	0.560653i
$549$	−5.23268	+	4.63575i	−0.223325	+	0.197849i
$550$	−14.2148	−	3.50363i	−0.606121	−	0.149395i
$551$	−1.60976	−	0.610503i	−0.0685782	−	0.0260083i
$552$	0.696820	−	1.32768i	0.0296586	−	0.0565098i
$553$	0.0988253	+	0.0374795i	0.00420248	+	0.00159379i
$554$	−42.7684	−	48.2755i	−1.81706	−	2.05103i
$555$	1.40875	−	1.24804i	0.0597980	−	0.0529764i
$556$	−24.5892	+	35.6237i	−1.04282	+	1.51078i
$557$	−20.8354	−	14.3816i	−0.882823	−	0.609369i	0.0380310	−	0.999277i	$-0.487891\pi$
$557$	−20.8354	−	14.3816i	−0.882823	−	0.609369i	−0.920854	+	0.389908i	$0.872507\pi$
$558$	2.07869	+	1.09098i	0.0879980	+	0.0461849i
$559$	−5.05131	−	28.7990i	−0.213648	−	1.21807i
$560$	−1.80846	+	0.949150i	−0.0764212	+	0.0401089i
$561$	−7.68006	−	0.932528i	−0.324252	−	0.0393714i
$562$	23.9012	−	5.89111i	1.00821	−	0.248501i
$563$	20.0573	−	29.0580i	0.845314	−	1.22465i	−0.127217	−	0.991875i	$-0.540604\pi$
$563$	20.0573	−	29.0580i	0.845314	−	1.22465i	0.972531	−	0.232774i	$-0.0747803\pi$
$564$	9.28834	−	6.41128i	0.391110	−	0.269964i
$565$	−8.62362	+	9.73406i	−0.362798	+	0.409515i
$566$	20.4079	+	2.47797i	0.857807	+	0.104157i
$567$	−0.130337	+	0.528797i	−0.00547363	+	0.0222074i
$568$	5.55877	+	2.91747i	0.233241	+	0.122414i
$569$	2.14826	−	17.6925i	0.0900598	−	0.741709i	−0.875805	−	0.482664i	$-0.839669\pi$
$569$	2.14826	−	17.6925i	0.0900598	−	0.741709i	0.965865	−	0.259045i	$-0.0834078\pi$
$570$	2.20833	−	0.268140i	0.0924969	−	0.0112312i
$571$	16.4599	−	23.8464i	0.688827	−	0.997939i	−0.310057	−	0.950718i	$-0.600348\pi$
$571$	16.4599	−	23.8464i	0.688827	−	0.997939i	0.998884	−	0.0472209i	$-0.0150365\pi$
$572$	0.919040	+	17.3892i	0.0384270	+	0.727080i
$573$	2.84347	+	4.11947i	0.118788	+	0.172093i
$574$	−0.794375	−	0.896664i	−0.0331566	−	0.0374260i
$575$	5.98247	+	1.47455i	0.249486	+	0.0614928i
$576$	6.15282	+	8.91390i	0.256368	+	0.371413i
$577$		−	25.2258i		−	1.05016i	−0.851052	−	0.525081i	$-0.824035\pi$
$577$		−	25.2258i		−	1.05016i	0.851052	−	0.525081i	$-0.175965\pi$
$578$	−3.77851	+	2.60812i	−0.157165	+	0.108483i
$579$	0.758355	−	0.0920810i	0.0315162	−	0.00382675i
$580$	5.57767	−	2.11533i	0.231600	−	0.0878343i
$581$	1.06289	−	8.75367i	0.0440960	−	0.363163i
$582$	−6.96701	−	18.3705i	−0.288792	−	0.761482i
$583$	−1.72194	+	1.94366i	−0.0713153	+	0.0804983i
$584$	−8.62437	−	7.64053i	−0.356879	−	0.316167i
$585$	−4.44803	−	0.303061i	−0.183904	−	0.0125300i
$586$	−0.322303	+	0.285536i	−0.0133142	+	0.0117954i
$587$			34.7222i			1.43314i	0.697516	+	0.716569i	$0.254288\pi$
$587$			34.7222i			1.43314i	−0.697516	+	0.716569i	$0.745712\pi$
$588$	12.0550	+	10.6798i	0.497141	+	0.440429i
$589$	−0.931431	+	0.229577i	−0.0383789	+	0.00945956i
$590$	13.5010	+	9.31905i	0.555826	+	0.383659i
$591$	10.7634	−	4.08200i	0.442745	−	0.167911i
$592$	−4.31614	+	1.63690i	−0.177392	+	0.0672760i
$593$	7.72596	+	5.33284i	0.317267	+	0.218994i	0.716045	−	0.698054i	$-0.245950\pi$
$593$	7.72596	+	5.33284i	0.317267	+	0.218994i	−0.398778	+	0.917047i	$0.630566\pi$
$594$	−4.09529	+	1.00940i	−0.168032	+	0.0414161i
$595$	1.93999	+	1.71868i	0.0795320	+	0.0704592i
$596$			2.40123i			0.0983582i
$597$	1.82337	−	1.61537i	0.0746256	−	0.0661125i
$598$	−0.708768	−	13.4107i	−0.0289837	−	0.548403i
$599$	−26.5815	−	23.5492i	−1.08609	−	0.962193i	−0.0866708	−	0.996237i	$-0.527623\pi$
$599$	−26.5815	−	23.5492i	−1.08609	−	0.962193i	−0.999420	+	0.0340442i	$0.989161\pi$
$600$	1.94422	−	2.19457i	0.0793724	−	0.0895929i
$601$	5.15026	+	13.5801i	0.210083	+	0.553944i	0.998094	−	0.0617178i	$-0.0196579\pi$
$601$	5.15026	+	13.5801i	0.210083	+	0.553944i	−0.788010	+	0.615662i	$0.788889\pi$
$602$	−1.11700	+	9.19934i	−0.0455256	+	0.374937i
$603$	−5.18565	+	1.96666i	−0.211176	+	0.0800884i
$604$	−50.7515	+	6.16235i	−2.06505	+	0.250743i
$605$	−7.08186	+	4.88826i	−0.287919	+	0.198736i
$606$			2.02475i			0.0822497i
$607$	5.99075	+	8.67909i	0.243157	+	0.352274i	0.925493	−	0.378765i	$-0.123651\pi$
$607$	5.99075	+	8.67909i	0.243157	+	0.352274i	−0.682336	+	0.731039i	$0.739036\pi$
$608$	−6.70396	−	1.65238i	−0.271882	−	0.0670128i
$609$	−0.725178	−	0.818557i	−0.0293857	−	0.0331696i
$610$	10.3034	+	14.9270i	0.417171	+	0.604377i
$611$	7.06864	−	15.3917i	0.285967	−	0.622681i
$612$	5.25265	−	7.60978i	0.212326	−	0.307607i
$613$	−23.7056	+	2.87838i	−0.957460	+	0.116257i	−0.584324	−	0.811520i	$-0.698640\pi$
$613$	−23.7056	+	2.87838i	−0.957460	+	0.116257i	−0.373135	+	0.927777i	$0.621717\pi$
$614$	−1.54953	+	12.7616i	−0.0625341	+	0.515014i
$615$	1.14776	+	0.602392i	0.0462822	+	0.0242908i
$616$	0.221309	−	0.897888i	0.00891681	−	0.0361769i
$617$	−14.3727	−	1.74516i	−0.578622	−	0.0702574i	−0.174007	−	0.984744i	$-0.555671\pi$
$617$	−14.3727	−	1.74516i	−0.578622	−	0.0702574i	−0.404615	+	0.914487i	$0.632594\pi$
$618$	5.69119	−	6.42403i	0.228933	−	0.258412i
$619$	4.03045	−	2.78202i	0.161997	−	0.111819i	−0.484308	−	0.874898i	$-0.660929\pi$
$619$	4.03045	−	2.78202i	0.161997	−	0.111819i	0.646305	+	0.763079i	$0.276313\pi$
$620$	1.88819	−	2.73552i	0.0758316	−	0.109861i
$621$	1.72355	−	0.424817i	0.0691637	−	0.0170473i
$622$	16.6784	+	2.02512i	0.668743	+	0.0812001i
$623$	−0.960490	+	0.504104i	−0.0384812	+	0.0201965i
$624$	9.93708	+	4.56361i	0.397801	+	0.182691i
$625$	3.89865	+	2.04617i	0.155946	+	0.0818468i
$626$	31.3179	+	21.6172i	1.25172	+	0.863997i
$627$	0.979092	−	1.41846i	0.0391012	−	0.0566478i
$628$	8.13318	−	7.20537i	0.324549	−	0.287525i
$629$	3.88447	+	4.38466i	0.154884	+	0.174828i
$630$	1.32120	+	0.501067i	0.0526380	+	0.0199630i
$631$	−11.5904	+	22.0836i	−0.461405	+	0.879133i	0.537942	+	0.842982i	$0.319202\pi$
$631$	−11.5904	+	22.0836i	−0.461405	+	0.879133i	−0.999346	+	0.0361511i	$0.988490\pi$
$632$	−0.153274	−	0.0581291i	−0.00609691	−	0.00231225i
$633$	5.11238	+	1.26009i	0.203199	+	0.0500840i
$634$	−30.7441	+	27.2369i	−1.22100	+	1.08172i
$635$	1.48040	−	1.02185i	0.0587479	−	0.0405507i
$636$	−1.10054	−	2.90189i	−0.0436393	−	0.115067i
$637$	23.7396	+	4.53752i	0.940599	+	0.179783i
$638$	3.00325	−	7.91892i	0.118900	−	0.313513i
$639$	1.77864	+	7.21622i	0.0703619	+	0.285469i
$640$	7.24880	−	3.80446i	0.286534	−	0.150385i
$641$	−3.03624	−	8.00591i	−0.119924	−	0.316215i	0.861589	−	0.507606i	$-0.169469\pi$
$641$	−3.03624	−	8.00591i	−0.119924	−	0.316215i	−0.981514	+	0.191391i	$0.938700\pi$
$642$	7.51815	−	0.912869i	0.296718	−	0.0360281i
$643$	8.28732	+	5.72032i	0.326820	+	0.225588i	0.720164	−	0.693804i	$-0.244067\pi$
$643$	8.28732	+	5.72032i	0.326820	+	0.225588i	−0.393344	+	0.919391i	$0.628682\pi$
$644$	−0.555871	+	2.25526i	−0.0219044	+	0.0888696i
$645$	−2.39971	−	9.73601i	−0.0944885	−	0.383355i
$646$	0.834574	+	6.87333i	0.0328359	+	0.270428i
$647$	3.78248	−	9.97358i	0.148705	−	0.392102i	−0.839879	−	0.542773i	$-0.817374\pi$
$647$	3.78248	−	9.97358i	0.148705	−	0.392102i	0.988584	+	0.150671i	$0.0481435\pi$
$648$	0.202147	−	0.820141i	0.00794107	−	0.0322182i
$649$	12.3410	−	3.04178i	0.484426	−	0.119400i
$650$	4.92985	−	25.7923i	0.193365	−	1.01166i
$651$	−0.591642	−	0.145827i	−0.0231883	−	0.00571539i
$652$	−10.5189	+	20.0420i	−0.411950	+	0.784906i
$653$	37.0108			1.44834			0.724171	−	0.689620i	$-0.242222\pi$
$653$	37.0108			1.44834			0.724171	+	0.689620i	$0.242222\pi$
$654$	−12.6195			−0.493461
$655$	11.8749	−	22.6258i	0.463993	−	0.884064i
$656$	−2.10824	−	2.37971i	−0.0823129	−	0.0929121i
$657$		−	13.6406i		−	0.532171i
$658$	−3.55970	+	4.01807i	−0.138772	+	0.156641i
$659$	37.6689	−	19.7702i	1.46737	−	0.770136i	0.473512	−	0.880787i	$-0.342986\pi$
$659$	37.6689	−	19.7702i	1.46737	−	0.770136i	0.993859	+	0.110652i	$0.0352938\pi$
$660$	0.719839	+	5.92841i	0.0280197	+	0.230763i
$661$	20.1446	+	38.3824i	0.783535	+	1.49290i	0.868049	+	0.496479i	$0.165374\pi$
$661$	20.1446	+	38.3824i	0.783535	+	1.49290i	−0.0845142	+	0.996422i	$0.526934\pi$
$662$	0.00706586	+	0.0581926i	0.000274622	+	0.00226172i
$663$	0.943262	−	13.8443i	0.0366333	−	0.537668i
$664$	−1.64849	+	13.5766i	−0.0639740	+	0.526873i
$665$	−0.539889	+	0.204753i	−0.0209360	+	0.00793997i
$666$	2.82783	+	1.48416i	0.109576	+	0.0575100i
$667$	−1.26395	+	3.33277i	−0.0489405	+	0.129045i
$668$	−0.0613066	−	0.116810i	−0.00237202	−	0.00451951i
$669$	0.819812	+	1.56202i	0.0316957	+	0.0603912i
$670$	3.44358	+	13.9711i	0.133037	+	0.539752i
$671$	13.9504	+	1.69388i	0.538548	+	0.0653916i
$672$	−3.28280	−	2.90831i	−0.126637	−	0.112190i
$673$	12.7649	+	18.4932i	0.492051	+	0.712859i	0.987821	−	0.155595i	$-0.0497295\pi$
$673$	12.7649	+	18.4932i	0.492051	+	0.712859i	−0.495770	+	0.868454i	$0.665114\pi$
$674$	17.2563	+	6.54446i	0.664689	+	0.252083i
$675$	3.47101			0.133599
$676$	−31.0594	+	3.29225i	−1.19459	+	0.126625i
$677$	−27.9999			−1.07612			−0.538061	−	0.842906i	$-0.680843\pi$
$677$	−27.9999			−1.07612			−0.538061	+	0.842906i	$0.680843\pi$
$678$	−20.6332	−	7.82513i	−0.792412	−	0.300522i
$679$	2.89696	+	4.19697i	0.111175	+	0.161065i
$680$	−3.00885	−	2.66561i	−0.115384	−	0.102221i
$681$	17.7792	+	2.15879i	0.681301	+	0.0827250i
$682$	−1.12936	−	4.58199i	−0.0432454	−	0.175454i
$683$	−2.75310	−	5.24560i	−0.105344	−	0.200717i	0.827078	−	0.562087i	$-0.190001\pi$
$683$	−2.75310	−	5.24560i	−0.105344	−	0.200717i	−0.932423	+	0.361370i	$0.882309\pi$
$684$	0.957322	+	1.82402i	0.0366041	+	0.0697433i
$685$	4.21655	−	11.1181i	0.161106	−	0.424802i
$686$	−13.8658	−	7.27731i	−0.529397	−	0.277849i
$687$	−23.8459	+	9.04357i	−0.909779	+	0.345034i
$688$	−2.96448	+	24.4147i	−0.113020	+	0.930801i
$689$	−3.64437	−	2.90022i	−0.138839	−	0.110490i
$690$	−0.555144	−	4.57202i	−0.0211340	−	0.174054i
$691$	21.7759	+	41.4904i	0.828393	+	1.57837i	0.815717	+	0.578451i	$0.196342\pi$
$691$	21.7759	+	41.4904i	0.828393	+	1.57837i	0.0126751	+	0.999920i	$0.495965\pi$
$692$	1.87336	+	15.4285i	0.0712145	+	0.586504i
$693$	0.969395	−	0.508778i	0.0368243	−	0.0193269i
$694$	−6.18228	+	6.97835i	−0.234676	+	0.264895i
$695$			22.2778i			0.845047i
$696$	1.12472	+	1.26955i	0.0426324	+	0.0481221i
$697$	−1.87492	+	3.57236i	−0.0710175	+	0.135313i
$698$	36.2645			1.37263
$699$	−12.0433			−0.455521
$700$	−2.11068	+	4.02156i	−0.0797762	+	0.152001i
$701$	−38.3923	−	9.46286i	−1.45006	−	0.357407i	−0.565854	−	0.824506i	$-0.691453\pi$
$701$	−38.3923	−	9.46286i	−1.45006	−	0.357407i	−0.884205	+	0.467098i	$0.845299\pi$
$702$	−2.19564	−	7.23965i	−0.0828691	−	0.273243i
$703$	−1.26711	+	0.312314i	−0.0477899	+	0.0117792i
$704$	5.21057	−	21.1401i	0.196381	−	0.796749i
$705$	2.05976	−	5.43115i	0.0775752	−	0.204549i
$706$	8.02749	+	66.1124i	0.302119	+	2.48817i
$707$	−0.125772	−	0.510277i	−0.00473014	−	0.0191909i
$708$	−3.63551	+	14.7499i	−0.136631	+	0.554334i
$709$	28.5544	+	19.7096i	1.07238	+	0.740211i	0.967142	−	0.254236i	$-0.0818239\pi$
$709$	28.5544	+	19.7096i	1.07238	+	0.740211i	0.105239	+	0.994447i	$0.466439\pi$
$710$	19.1423	−	2.32429i	0.718397	−	0.0872292i
$711$	−0.0688174	−	0.181457i	−0.00258085	−	0.00680515i
$712$	1.48968	−	0.781844i	0.0558281	−	0.0293008i
$713$	0.475305	+	1.92839i	0.0178003	+	0.0722186i
$714$	−1.55955	+	4.11218i	−0.0583645	+	0.153895i
$715$	5.47325	+	7.09672i	0.204688	+	0.265402i
$716$	9.14734	+	24.1196i	0.341852	+	0.901391i
$717$	−13.6896	+	9.44925i	−0.511247	+	0.352889i
$718$	9.49814	−	8.41462i	0.354468	−	0.314031i
$719$	−4.89560	−	1.20666i	−0.182575	−	0.0450007i	0.146968	−	0.989141i	$-0.453049\pi$
$719$	−4.89560	−	1.20666i	−0.182575	−	0.0450007i	−0.329543	+	0.944141i	$0.606895\pi$
$720$	3.50642	+	1.32981i	0.130677	+	0.0495591i
$721$	−1.03525	+	1.97251i	−0.0385548	+	0.0734600i
$722$	35.8334	+	13.5898i	1.33358	+	0.505761i
$723$	−1.10058	−	1.24230i	−0.0409310	−	0.0462015i
$724$	−31.3421	+	27.7667i	−1.16482	+	1.03194i
$725$	−3.95922	+	5.73592i	−0.147042	+	0.213027i
$726$	−12.0171	−	8.29479i	−0.445995	−	0.307848i
$727$	16.8086	+	8.82185i	0.623398	+	0.327184i	0.746676	−	0.665188i	$-0.231649\pi$
$727$	16.8086	+	8.82185i	0.623398	+	0.327184i	−0.123279	+	0.992372i	$0.539341\pi$
$728$	1.62919	+	0.311398i	0.0603817	+	0.0115412i
$729$	0.885456	−	0.464723i	0.0327947	−	0.0172120i
$730$	−35.1327	−	4.26588i	−1.30032	−	0.157887i
$731$	30.3029	−	7.46899i	1.12079	−	0.276250i
$732$	−9.54114	+	13.8227i	−0.352651	+	0.510903i
$733$	3.42909	−	2.36693i	0.126656	−	0.0874246i	−0.503052	−	0.864256i	$-0.667790\pi$
$733$	3.42909	−	2.36693i	0.126656	−	0.0874246i	0.629709	+	0.776831i	$0.283174\pi$
$734$	39.6116	−	44.7122i	1.46209	−	1.65036i
$735$	8.22845	+	0.999115i	0.303511	+	0.0368529i
$736$	−3.42100	+	13.8795i	−0.126100	+	0.511607i
$737$	9.87163	+	5.18103i	0.363626	+	0.190846i
$738$	−0.265128	+	2.18352i	−0.00975949	+	0.0803766i
$739$	−27.8548	+	3.38218i	−1.02465	+	0.124416i	−0.615571	−	0.788081i	$-0.711075\pi$
$739$	−27.8548	+	3.38218i	−1.02465	+	0.124416i	−0.409084	+	0.912497i	$0.634152\pi$
$740$	2.56868	−	3.72137i	0.0944264	−	0.136800i
$741$	2.63333	+	1.61941i	0.0967379	+	0.0594904i
$742$	0.838555	+	1.21486i	0.0307843	+	0.0445988i
$743$	15.9778	+	18.0352i	0.586167	+	0.661646i	0.964518	−	0.264016i	$-0.0850472\pi$
$743$	15.9778	+	18.0352i	0.586167	+	0.661646i	−0.378351	+	0.925662i	$0.623509\pi$
$744$	0.917610	+	0.226171i	0.0336412	+	0.00829182i
$745$	0.702033	+	1.01707i	0.0257205	+	0.0372626i
$746$		−	13.8248i		−	0.506162i
$747$	−13.3249	+	9.19752i	−0.487533	+	0.336520i
$748$	−18.4519	+	2.24046i	−0.674668	+	0.0819195i
$749$	−1.83802	+	0.697070i	−0.0671599	+	0.0254704i
$750$	2.64917	−	21.8179i	0.0967340	−	0.796676i
$751$	−9.10555	−	24.0094i	−0.332266	−	0.876114i	−0.992185	−	0.124777i	$-0.960179\pi$
$751$	−9.10555	−	24.0094i	−0.332266	−	0.876114i	0.659919	−	0.751337i	$-0.270591\pi$
$752$	−9.44730	+	10.6638i	−0.344508	+	0.388869i
$753$	17.7003	+	15.6811i	0.645033	+	0.571450i
$754$	14.4681	+	4.62959i	0.526898	+	0.168600i
$755$	−19.6948	+	17.4481i	−0.716766	+	0.635000i
$756$			1.30849i			0.0475895i
$757$	24.6166	+	21.8084i	0.894705	+	0.792639i	0.979012	−	0.203801i	$-0.0653295\pi$
$757$	24.6166	+	21.8084i	0.894705	+	0.792639i	−0.0843079	+	0.996440i	$0.526868\pi$
$758$	42.2872	−	10.4229i	1.53594	−	0.378575i
$759$	−2.93671	−	2.02706i	−0.106596	−	0.0735777i
$760$	0.837344	−	0.317563i	0.0303737	−	0.0115192i
$761$	−14.6021	+	5.53783i	−0.529325	+	0.200746i	−0.604765	−	0.796404i	$-0.706733\pi$
$761$	−14.6021	+	5.53783i	−0.529325	+	0.200746i	0.0754404	+	0.997150i	$0.475964\pi$
$762$	2.51206	+	1.73395i	0.0910024	+	0.0628144i
$763$	3.18037	−	0.783890i	0.115137	−	0.0283787i
$764$	9.00170	+	7.97481i	0.325670	+	0.288519i
$765$		−	4.75890i		−	0.172058i
$766$	11.1396	−	9.86883i	0.402490	−	0.356575i
$767$	6.61647	+	21.8164i	0.238907	+	0.787745i
$768$	−5.81657	−	5.15303i	−0.209887	−	0.185944i
$769$	−7.20604	+	8.13394i	−0.259857	+	0.293317i	−0.863931	−	0.503611i	$-0.832005\pi$
$769$	−7.20604	+	8.13394i	−0.259857	+	0.293317i	0.604074	+	0.796928i

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:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.p (of order \(26\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(1.96188 + 0.744043i) q^{2} +(0.568065 + 0.822984i) q^{3} +(1.79835 + 1.59320i) q^{4} +(1.22751 + 0.149046i) q^{5} +(0.502139 + 2.03726i) q^{6} +(-0.253099 - 0.482239i) q^{7} +(0.392545 + 0.747932i) q^{8} +(-0.354605 + 0.935016i) q^{9} +(2.29732 + 1.20573i) q^{10} +(1.87956 - 0.712825i) q^{11} +(-0.289598 + 2.38505i) q^{12} +(1.45469 + 3.29907i) q^{13} +(-0.137743 - 1.13441i) q^{14} +(0.574641 + 1.09489i) q^{15} +(-0.365563 - 3.01068i) q^{16} +(-3.40778 + 1.78854i) q^{17} +(-1.39138 + 1.57055i) q^{18} -0.857408i q^{19} +(1.97003 + 2.22370i) q^{20} +(0.253099 - 0.482239i) q^{21} +4.21785 q^{22} -1.77513 q^{23} +(-0.392545 + 0.747932i) q^{24} +(-3.37015 - 0.830668i) q^{25} +(0.399276 + 7.55473i) q^{26} +(-0.970942 + 0.239316i) q^{27} +(0.313143 - 1.27047i) q^{28} +(0.712033 - 1.87748i) q^{29} +(0.312733 + 2.57559i) q^{30} +(-0.267757 - 1.08633i) q^{31} +(1.92718 - 7.81887i) q^{32} +(1.65436 + 1.14192i) q^{33} +(-8.01641 + 0.973368i) q^{34} +(-0.238804 - 0.629675i) q^{35} +(-2.12737 + 1.11653i) q^{36} +(-0.364254 - 1.47784i) q^{37} +(0.637948 - 1.68213i) q^{38} +(-1.88872 + 3.07127i) q^{39} +(0.370375 + 0.976599i) q^{40} +(0.862729 - 0.595499i) q^{41} +(0.855356 - 0.757779i) q^{42} +(-7.87370 - 1.94069i) q^{43} +(4.51579 + 1.71261i) q^{44} +(-0.574641 + 1.09489i) q^{45} +(-3.48260 - 1.32078i) q^{46} +(-3.11505 - 3.51616i) q^{47} +(2.27008 - 2.01112i) q^{48} +(3.80796 - 5.51678i) q^{49} +(-5.99378 - 4.13721i) q^{50} +(-3.40778 - 1.78854i) q^{51} +(-2.64004 + 8.25050i) q^{52} +(-1.14381 + 0.600315i) q^{53} +(-2.08293 - 0.252914i) q^{54} +(2.41342 - 0.594855i) q^{55} +(0.261330 - 0.378601i) q^{56} +(0.705633 - 0.487063i) q^{57} +(2.79385 - 3.15360i) q^{58} +(6.27683 + 0.762145i) q^{59} +(-0.710967 + 2.88451i) q^{60} +(6.19004 + 3.24878i) q^{61} +(0.282971 - 2.33048i) q^{62} +(0.540652 - 0.0656470i) q^{63} +(6.15282 - 8.91390i) q^{64} +(1.29393 + 4.26645i) q^{65} +(2.39601 + 3.47122i) q^{66} +(3.67771 + 4.15128i) q^{67} +(-8.97789 - 2.21285i) q^{68} +(-1.00839 - 1.46091i) q^{69} -1.41303i q^{70} +(6.11657 - 4.22196i) q^{71} +(-0.838527 + 0.101816i) q^{72} +(-12.7542 + 4.83703i) q^{73} +(0.384951 - 3.17036i) q^{74} +(-1.23084 - 3.24545i) q^{75} +(1.36602 - 1.54192i) q^{76} +(-0.819467 - 0.725985i) q^{77} +(-5.99061 + 4.62018i) q^{78} +(-0.145262 + 0.128691i) q^{79} -3.75012i q^{80} +(-0.748511 - 0.663123i) q^{81} +(2.13565 - 0.526390i) q^{82} +(13.3249 + 9.19752i) q^{83} +(1.22346 - 0.463998i) q^{84} +(-4.44965 + 1.68753i) q^{85} +(-14.0033 - 9.66578i) q^{86} +(1.94961 - 0.480537i) q^{87} +(1.27096 + 1.12597i) q^{88} -1.99173i q^{89} +(-1.94202 + 1.72048i) q^{90} +(1.22276 - 1.53650i) q^{91} +(-3.19231 - 2.82814i) q^{92} +(0.741931 - 0.837467i) q^{93} +(-3.49517 - 9.21601i) q^{94} +(0.127793 - 1.05247i) q^{95} +(7.52957 - 2.85559i) q^{96} +(-9.29546 + 1.12867i) q^{97} +(11.5755 - 7.98997i) q^{98} +2.01019i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9} - 4 q^{10} + 12 q^{12} + 13 q^{13} + 2 q^{14} - 8 q^{16} - 4 q^{17} - 72 q^{22} + 48 q^{23} - 44 q^{25} - 39 q^{26} - 14 q^{27} + 45 q^{29} - 4 q^{30} - 26 q^{31}+ \cdots - 104 q^{98}+O(q^{100}) \) 168 * q - 14 * q^3 + 12 * q^4 - 14 * q^9 - 4 * q^10 + 12 * q^12 + 13 * q^13 + 2 * q^14 - 8 * q^16 - 4 * q^17 - 72 * q^22 + 48 * q^23 - 44 * q^25 - 39 * q^26 - 14 * q^27 + 45 * q^29 - 4 * q^30 - 26 * q^31 + 130 * q^32 + 13 * q^33 - 65 * q^34 - 35 * q^35 + 12 * q^36 + 61 * q^38 + 12 * q^40 - 63 * q^42 + 72 * q^43 - 39 * q^44 - 8 * q^48 - 68 * q^49 - 52 * q^50 - 4 * q^51 + 65 * q^52 - q^53 + 53 * q^55 - 14 * q^56 - 13 * q^57 - 26 * q^58 - 104 * q^59 + 117 * q^60 + 12 * q^61 + 49 * q^62 - 32 * q^64 - 52 * q^65 - 46 * q^66 + 26 * q^67 - 84 * q^68 - 4 * q^69 - 39 * q^71 - 52 * q^73 + 29 * q^74 + 8 * q^75 - 130 * q^76 + 60 * q^77 + 65 * q^78 + 14 * q^79 - 14 * q^81 + 45 * q^82 + 78 * q^83 - 13 * q^85 - 13 * q^86 - 46 * q^87 - 26 * q^88 - 4 * q^90 - 208 * q^91 + 82 * q^92 - 39 * q^93 + 25 * q^94 - 66 * q^95 + 65 * q^96 + 26 * q^97 - 104 * q^98

Introduction

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