LMFDB - Embedded newform 276.2.o.a.35.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(35,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 20]))

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

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

chi := DirichletCharacter("276.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.o (of order $22$, degree $10$, 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:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			35.8
Character	$\chi$	$=$	276.35
Dual form			276.2.o.a.71.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16880 + 0.796188i) q^{2} +(1.29161 - 1.15401i) q^{3} +(0.732168 - 1.86116i) q^{4} +(-0.605787 - 2.06312i) q^{5} +(-0.590813 + 2.37717i) q^{6} +(-0.738126 + 0.639590i) q^{7} +(0.626082 + 2.75826i) q^{8} +(0.336500 - 2.98107i) q^{9} +O(q^{10})$	\(q+(-1.16880 + 0.796188i) q^{2} +(1.29161 - 1.15401i) q^{3} +(0.732168 - 1.86116i) q^{4} +(-0.605787 - 2.06312i) q^{5} +(-0.590813 + 2.37717i) q^{6} +(-0.738126 + 0.639590i) q^{7} +(0.626082 + 2.75826i) q^{8} +(0.336500 - 2.98107i) q^{9} +(2.35068 + 1.92905i) q^{10} +(-0.357587 - 0.229807i) q^{11} +(-1.20214 - 3.24883i) q^{12} +(2.49415 - 2.87840i) q^{13} +(0.353485 - 1.33524i) q^{14} +(-3.16331 - 1.96566i) q^{15} +(-2.92786 - 2.72537i) q^{16} +(-2.23877 + 1.02241i) q^{17} +(1.98019 + 3.75218i) q^{18} +(-6.48160 - 2.96005i) q^{19} +(-4.28335 - 0.383083i) q^{20} +(-0.215273 + 1.67791i) q^{21} +(0.600915 - 0.0161089i) q^{22} +(4.60907 - 1.32531i) q^{23} +(3.99173 + 2.84009i) q^{24} +(0.316772 - 0.203577i) q^{25} +(-0.623401 + 5.35007i) q^{26} +(-3.00557 - 4.23870i) q^{27} +(0.649949 + 1.84206i) q^{28} +(-0.940319 + 0.429429i) q^{29} +(5.26230 - 0.221141i) q^{30} +(7.16183 - 1.02972i) q^{31} +(5.59198 + 0.854273i) q^{32} +(-0.727062 + 0.115840i) q^{33} +(1.80263 - 2.97747i) q^{34} +(1.76670 + 1.13539i) q^{35} +(-5.30188 - 2.80892i) q^{36} +(3.69308 + 1.08439i) q^{37} +(9.93243 - 1.70088i) q^{38} +(-0.100256 - 6.59604i) q^{39} +(5.31136 - 2.96260i) q^{40} +(3.07037 + 10.4567i) q^{41} +(-1.08432 - 2.13253i) q^{42} +(-5.31467 - 0.764134i) q^{43} +(-0.689522 + 0.497270i) q^{44} +(-6.35416 + 1.11165i) q^{45} +(-4.33187 + 5.21870i) q^{46} +3.75973 q^{47} +(-6.92676 - 0.141314i) q^{48} +(-0.860449 + 5.98455i) q^{49} +(-0.208156 + 0.490150i) q^{50} +(-1.71173 + 3.90412i) q^{51} +(-3.53104 - 6.74949i) q^{52} +(6.52145 - 5.65086i) q^{53} +(6.88770 + 2.56117i) q^{54} +(-0.257498 + 0.876959i) q^{55} +(-2.22628 - 1.63551i) q^{56} +(-11.7876 + 3.65664i) q^{57} +(0.757135 - 1.25059i) q^{58} +(2.92268 - 3.37295i) q^{59} +(-5.97449 + 4.44825i) q^{60} +(0.830304 + 5.77489i) q^{61} +(-7.55087 + 6.90570i) q^{62} +(1.65828 + 2.41563i) q^{63} +(-7.21604 + 3.45380i) q^{64} +(-7.44941 - 3.40203i) q^{65} +(0.757557 - 0.714271i) q^{66} +(2.37638 + 3.69772i) q^{67} +(0.263720 + 4.91529i) q^{68} +(4.42369 - 7.03072i) q^{69} +(-2.96889 + 0.0795877i) q^{70} +(-8.76187 + 5.63091i) q^{71} +(8.43325 - 0.938236i) q^{72} +(-1.76386 + 3.86232i) q^{73} +(-5.17984 + 1.67296i) q^{74} +(0.174214 - 0.628501i) q^{75} +(-10.2548 + 9.89607i) q^{76} +(0.410926 - 0.0590823i) q^{77} +(5.36887 + 7.62961i) q^{78} +(5.26697 + 4.56386i) q^{79} +(-3.84911 + 7.69153i) q^{80} +(-8.77354 - 2.00626i) q^{81} +(-11.9142 - 9.77719i) q^{82} +(-6.94011 - 2.03780i) q^{83} +(2.96524 + 1.62917i) q^{84} +(3.46557 + 3.99949i) q^{85} +(6.82015 - 3.33836i) q^{86} +(-0.718956 + 1.63980i) q^{87} +(0.409990 - 1.13020i) q^{88} +(14.0889 + 2.02568i) q^{89} +(6.54163 - 6.35840i) q^{90} +3.71985i q^{91} +(0.908004 - 9.54859i) q^{92} +(8.06197 - 9.59485i) q^{93} +(-4.39436 + 2.99345i) q^{94} +(-2.18047 + 15.1655i) q^{95} +(8.20848 - 5.34984i) q^{96} +(6.11578 - 1.79575i) q^{97} +(-3.75914 - 7.67980i) q^{98} +(-0.805398 + 0.988660i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{10}{11}\right)$	$-1$	$-1$

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 $

$2$	−1.16880	+	0.796188i	−0.826464	+	0.562990i
$2$	−1.16880	+	0.796188i	−0.826464	+	0.562990i
$3$	1.29161	−	1.15401i	0.745710	−	0.666271i
$3$	1.29161	−	1.15401i	0.745710	−	0.666271i
$4$	0.732168	−	1.86116i	0.366084	−	0.930582i
$5$	−0.605787	−	2.06312i	−0.270916	−	0.922656i	−0.976769	−	0.214297i	$-0.931254\pi$
$5$	−0.605787	−	2.06312i	−0.270916	−	0.922656i	0.705852	−	0.708359i	$-0.250564\pi$
$6$	−0.590813	+	2.37717i	−0.241198	+	0.970476i
$7$	−0.738126	+	0.639590i	−0.278985	+	0.241742i	−0.783102	−	0.621893i	$-0.786364\pi$
$7$	−0.738126	+	0.639590i	−0.278985	+	0.241742i	0.504116	+	0.863636i	$0.331818\pi$
$8$	0.626082	+	2.75826i	0.221353	+	0.975194i
$9$	0.336500	−	2.98107i	0.112167	−	0.993689i
$10$	2.35068	+	1.92905i	0.743349	+	0.610019i
$11$	−0.357587	−	0.229807i	−0.107816	−	0.0692894i	0.485621	−	0.874169i	$-0.338593\pi$
$11$	−0.357587	−	0.229807i	−0.107816	−	0.0692894i	−0.593438	+	0.804880i	$0.702230\pi$
$12$	−1.20214	−	3.24883i	−0.347027	−	0.937855i
$13$	2.49415	−	2.87840i	0.691752	−	0.798324i	−0.295861	−	0.955231i	$-0.595607\pi$
$13$	2.49415	−	2.87840i	0.691752	−	0.798324i	0.987613	+	0.156907i	$0.0501521\pi$
$14$	0.353485	−	1.33524i	0.0944728	−	0.356857i
$15$	−3.16331	−	1.96566i	−0.816764	−	0.507530i
$16$	−2.92786	−	2.72537i	−0.731965	−	0.681342i
$17$	−2.23877	+	1.02241i	−0.542981	+	0.247971i	−0.667971	−	0.744187i	$-0.732837\pi$
$17$	−2.23877	+	1.02241i	−0.542981	+	0.247971i	0.124991	+	0.992158i	$0.460110\pi$
$18$	1.98019	+	3.75218i	0.466736	+	0.884397i
$19$	−6.48160	−	2.96005i	−1.48698	−	0.679082i	−0.504155	−	0.863613i	$-0.668196\pi$
$19$	−6.48160	−	2.96005i	−1.48698	−	0.679082i	−0.982827	+	0.184531i	$0.940923\pi$
$20$	−4.28335	−	0.383083i	−0.957785	−	0.0856600i
$21$	−0.215273	+	1.67791i	−0.0469764	+	0.366149i
$22$	0.600915	−	0.0161089i	0.128116	−	0.00343442i
$23$	4.60907	−	1.32531i	0.961058	−	0.276346i
$23$	4.60907	−	1.32531i	0.961058	−	0.276346i
$24$	3.99173	+	2.84009i	0.814808	+	0.579730i
$25$	0.316772	−	0.203577i	0.0633544	−	0.0407154i
$26$	−0.623401	+	5.35007i	−0.122259	+	1.04924i
$27$	−3.00557	−	4.23870i	−0.578422	−	0.815738i
$28$	0.649949	+	1.84206i	0.122829	+	0.348117i
$29$	−0.940319	+	0.429429i	−0.174613	+	0.0797430i	−0.500804	−	0.865561i	$-0.666962\pi$
$29$	−0.940319	+	0.429429i	−0.174613	+	0.0797430i	0.326191	+	0.945304i	$0.394235\pi$
$30$	5.26230	−	0.221141i	0.960760	−	0.0403747i
$31$	7.16183	−	1.02972i	1.28630	−	0.184942i	0.534973	−	0.844869i	$-0.320322\pi$
$31$	7.16183	−	1.02972i	1.28630	−	0.184942i	0.751330	+	0.659927i	$0.229413\pi$
$32$	5.59198	+	0.854273i	0.988531	+	0.151015i
$33$	−0.727062	+	0.115840i	−0.126565	+	0.0201651i
$34$	1.80263	−	2.97747i	0.309149	−	0.510632i
$35$	1.76670	+	1.13539i	0.298627	+	0.191916i
$36$	−5.30188	−	2.80892i	−0.883647	−	0.468154i
$37$	3.69308	+	1.08439i	0.607139	+	0.178272i	0.570830	−	0.821068i	$-0.306622\pi$
$37$	3.69308	+	1.08439i	0.607139	+	0.178272i	0.0363094	+	0.999341i	$0.488440\pi$
$38$	9.93243	−	1.70088i	1.61125	−	0.275920i
$39$	−0.100256	−	6.59604i	−0.0160538	−	1.05621i
$40$	5.31136	−	2.96260i	0.839800	−	0.468429i
$41$	3.07037	+	10.4567i	0.479512	+	1.63307i	0.743641	+	0.668580i	$0.233097\pi$
$41$	3.07037	+	10.4567i	0.479512	+	1.63307i	−0.264129	+	0.964487i	$0.585084\pi$
$42$	−1.08432	−	2.13253i	−0.167314	−	0.329056i
$43$	−5.31467	−	0.764134i	−0.810479	−	0.116529i	−0.275398	−	0.961330i	$-0.588810\pi$
$43$	−5.31467	−	0.764134i	−0.810479	−	0.116529i	−0.535081	+	0.844801i	$0.679719\pi$
$44$	−0.689522	+	0.497270i	−0.103949	+	0.0749662i
$45$	−6.35416	+	1.11165i	−0.947222	+	0.165715i
$46$	−4.33187	+	5.21870i	−0.638700	+	0.769456i
$47$	3.75973			0.548413			0.274206	−	0.961671i	$-0.411585\pi$
$47$	3.75973			0.548413			0.274206	+	0.961671i	$0.411585\pi$
$48$	−6.92676	−	0.141314i	−0.999792	−	0.0203970i
$49$	−0.860449	+	5.98455i	−0.122921	+	0.854936i
$50$	−0.208156	+	0.490150i	−0.0294377	+	0.0693177i
$51$	−1.71173	+	3.90412i	−0.239690	+	0.546687i
$52$	−3.53104	−	6.74949i	−0.489667	−	0.935986i
$53$	6.52145	−	5.65086i	0.895789	−	0.776206i	−0.0795697	−	0.996829i	$-0.525355\pi$
$53$	6.52145	−	5.65086i	0.895789	−	0.776206i	0.975359	+	0.220623i	$0.0708092\pi$
$54$	6.88770	+	2.56117i	0.937297	+	0.348531i
$55$	−0.257498	+	0.876959i	−0.0347211	+	0.118249i
$56$	−2.22628	−	1.63551i	−0.297500	−	0.218554i
$57$	−11.7876	+	3.65664i	−1.56131	+	0.484334i
$58$	0.757135	−	1.25059i	0.0994167	−	0.164210i
$59$	2.92268	−	3.37295i	0.380501	−	0.439121i	−0.532903	−	0.846176i	$-0.678899\pi$
$59$	2.92268	−	3.37295i	0.380501	−	0.439121i	0.913404	+	0.407055i	$0.133444\pi$
$60$	−5.97449	+	4.44825i	−0.771303	+	0.574267i
$61$	0.830304	+	5.77489i	0.106309	+	0.739399i	0.971343	+	0.237684i	$0.0763882\pi$
$61$	0.830304	+	5.77489i	0.106309	+	0.739399i	−0.865033	+	0.501715i	$0.832703\pi$
$62$	−7.55087	+	6.90570i	−0.958962	+	0.877024i
$63$	1.65828	+	2.41563i	0.208924	+	0.304340i
$64$	−7.21604	+	3.45380i	−0.902005	+	0.431725i
$65$	−7.44941	−	3.40203i	−0.923986	−	0.421970i
$66$	0.757557	−	0.714271i	0.0932488	−	0.0879207i
$67$	2.37638	+	3.69772i	0.290321	+	0.451749i	0.955524	−	0.294914i	$-0.0952911\pi$
$67$	2.37638	+	3.69772i	0.290321	+	0.451749i	−0.665202	+	0.746663i	$0.731655\pi$
$68$	0.263720	+	4.91529i	0.0319807	+	0.596066i
$69$	4.42369	−	7.03072i	0.532550	−	0.846399i
$70$	−2.96889	+	0.0795877i	−0.354851	+	0.00951255i
$71$	−8.76187	+	5.63091i	−1.03984	+	0.668266i	−0.944948	−	0.327221i	$-0.893888\pi$
$71$	−8.76187	+	5.63091i	−1.03984	+	0.668266i	−0.0948946	+	0.995487i	$0.530251\pi$
$72$	8.43325	−	0.938236i	0.993868	−	0.110572i
$73$	−1.76386	+	3.86232i	−0.206445	+	0.452051i	−0.984326	−	0.176361i	$-0.943567\pi$
$73$	−1.76386	+	3.86232i	−0.206445	+	0.452051i	0.777881	+	0.628412i	$0.216295\pi$
$74$	−5.17984	+	1.67296i	−0.602144	+	0.194478i
$75$	0.174214	−	0.628501i	0.0201165	−	0.0725730i
$76$	−10.2548	+	9.89607i	−1.17630	+	1.13516i
$77$	0.410926	−	0.0590823i	0.0468294	−	0.00673305i
$78$	5.36887	+	7.62961i	0.607905	+	0.863883i
$79$	5.26697	+	4.56386i	0.592581	+	0.513474i	0.898726	−	0.438511i	$-0.144494\pi$
$79$	5.26697	+	4.56386i	0.592581	+	0.513474i	−0.306145	+	0.951985i	$0.599039\pi$
$80$	−3.84911	+	7.69153i	−0.430344	+	0.859939i
$81$	−8.77354	−	2.00626i	−0.974837	−	0.222918i
$82$	−11.9142	−	9.77719i	−1.31570	−	1.07971i
$83$	−6.94011	−	2.03780i	−0.761776	−	0.223678i	−0.122305	−	0.992493i	$-0.539028\pi$
$83$	−6.94011	−	2.03780i	−0.761776	−	0.223678i	−0.639471	+	0.768815i	$0.720847\pi$
$84$	2.96524	+	1.62917i	0.323535	+	0.177757i
$85$	3.46557	+	3.99949i	0.375894	+	0.433805i
$86$	6.82015	−	3.33836i	0.735436	−	0.359985i
$87$	−0.718956	+	1.63980i	−0.0770801	+	0.175805i
$88$	0.409990	−	1.13020i	0.0437051	−	0.120479i
$89$	14.0889	+	2.02568i	1.49342	+	0.214722i	0.840131	−	0.542383i	$-0.182478\pi$
$89$	14.0889	+	2.02568i	1.49342	+	0.214722i	0.653293	+	0.757105i	$0.273387\pi$
$90$	6.54163	−	6.35840i	0.689548	−	0.670234i
$91$			3.71985i			0.389947i
$92$	0.908004	−	9.54859i	0.0946660	−	0.995509i
$93$	8.06197	−	9.59485i	0.835987	−	0.994939i
$94$	−4.39436	+	2.99345i	−0.453243	+	0.308751i
$95$	−2.18047	+	15.1655i	−0.223711	+	1.55595i
$96$	8.20848	−	5.34984i	0.837775	−	0.546016i
$97$	6.11578	−	1.79575i	0.620963	−	0.182331i	0.0439068	−	0.999036i	$-0.486020\pi$
$97$	6.11578	−	1.79575i	0.620963	−	0.182331i	0.577056	+	0.816704i	$0.304201\pi$
$98$	−3.75914	−	7.67980i	−0.379731	−	0.775777i
$99$	−0.805398	+	0.988660i	−0.0809455	+	0.0993640i
$100$	−0.146960	−	0.738617i	−0.0146960	−	0.0738617i
$101$	1.41441	−	4.81703i	0.140739	−	0.479312i	−0.858712	−	0.512459i	$-0.828735\pi$
$101$	1.41441	−	4.81703i	0.140739	−	0.479312i	0.999450	+	0.0331467i	$0.0105529\pi$
$102$	−1.10775	−	5.92598i	−0.109684	−	0.586760i
$103$	−2.14165	+	3.33247i	−0.211023	+	0.328358i	−0.930589	−	0.366066i	$-0.880704\pi$
$103$	−2.14165	+	3.33247i	−0.211023	+	0.328358i	0.719566	+	0.694424i	$0.244341\pi$
$104$	9.50093	+	5.07740i	0.931642	+	0.497880i
$105$	3.59214	−	0.572320i	0.350557	−	0.0558528i
$106$	−3.12309	+	11.7970i	−0.303341	+	1.14583i
$107$	0.590353	+	4.10599i	0.0570715	+	0.396941i	0.998255	+	0.0590461i	$0.0188059\pi$
$107$	0.590353	+	4.10599i	0.0570715	+	0.396941i	−0.941184	+	0.337895i	$0.890285\pi$
$108$	−10.0895	+	2.49042i	−0.970862	+	0.239641i
$109$	5.64268	+	12.3557i	0.540471	+	1.18347i	0.961092	+	0.276229i	$0.0890849\pi$
$109$	5.64268	+	12.3557i	0.540471	+	1.18347i	−0.420621	+	0.907236i	$0.638188\pi$
$110$	−0.397261	−	1.23000i	−0.0378774	−	0.117276i
$111$	6.02141	−	2.86127i	0.571527	−	0.271580i
$112$	3.90425	+	0.139037i	0.368917	+	0.0131377i
$113$	−8.35781	−	13.0050i	−0.786237	−	1.22341i	−0.970635	−	0.240556i	$-0.922670\pi$
$113$	−8.35781	−	13.0050i	−0.786237	−	1.22341i	0.184399	−	0.982852i	$-0.440966\pi$
$114$	10.8660	−	13.6590i	1.01769	−	1.27929i
$115$	−5.52639	−	8.70623i	−0.515338	−	0.811860i
$116$	0.110767	+	2.06450i	0.0102844	+	0.191684i
$117$	−7.74142	−	8.40380i	−0.715695	−	0.776932i
$118$	−0.730511	+	6.26930i	−0.0672490	+	0.577136i
$119$	0.998569	−	2.18656i	0.0915386	−	0.200442i
$120$	3.44131	−	9.95592i	0.314147	−	0.908847i
$121$	−4.49451	−	9.84160i	−0.408592	−	0.894691i
$122$	−5.56835	−	6.08859i	−0.504135	−	0.551235i
$123$	16.0329	+	9.96274i	1.44564	+	0.898310i
$124$	3.32720	−	14.0833i	0.298791	−	1.26471i
$125$	−8.73705	−	7.57069i	−0.781465	−	0.677143i
$126$	−3.86149	−	1.50307i	−0.344009	−	0.133904i
$127$	6.92491	−	10.7754i	0.614486	−	0.956160i	−0.384961	−	0.922933i	$-0.625785\pi$
$127$	6.92491	−	10.7754i	0.614486	−	0.956160i	0.999448	−	0.0332269i	$-0.0105784\pi$
$128$	5.68421	−	9.78211i	0.502418	−	0.864625i
$129$	−7.74628	+	5.14624i	−0.682022	+	0.453101i
$130$	11.4155	−	1.95485i	1.00121	−	0.171452i
$131$	4.19429	+	4.84046i	0.366456	+	0.422913i	0.908792	−	0.417248i	$-0.137005\pi$
$131$	4.19429	+	4.84046i	0.366456	+	0.422913i	−0.542336	+	0.840162i	$0.682460\pi$
$132$	−0.316735	+	1.43800i	−0.0275682	+	0.125161i
$133$	6.67746	−	1.96068i	0.579009	−	0.170012i
$134$	−5.72159	−	2.42984i	−0.494270	−	0.209906i
$135$	−6.92421	+	8.76861i	−0.595941	+	0.754682i
$136$	−4.22173	−	5.53500i	−0.362010	−	0.474622i
$137$			17.2248i			1.47161i	0.677192	+	0.735806i	$0.263197\pi$
$137$			17.2248i			1.47161i	−0.677192	+	0.735806i	$0.736803\pi$
$138$	0.427381	+	11.7396i	0.0363811	+	0.999338i
$139$		−	12.8967i		−	1.09389i	−0.837169	−	0.546944i	$-0.815791\pi$
$139$		−	12.8967i		−	1.09389i	0.837169	−	0.546944i	$-0.184209\pi$
$140$	3.40667	−	2.45682i	0.287916	−	0.207639i
$141$	4.85609	−	4.33878i	0.408957	−	0.365391i
$142$	5.75757	−	13.5575i	0.483165	−	1.13772i
$143$	−1.55335	+	0.456105i	−0.129898	+	0.0381414i
$144$	−9.10974	+	7.81106i	−0.759145	+	0.650922i
$145$	1.45560	+	1.67985i	0.120881	+	0.139504i
$146$	−1.01354	−	5.91864i	−0.0838812	−	0.489830i
$147$	5.79490	+	8.72267i	0.477955	+	0.719433i
$148$	4.72218	−	6.07948i	0.388161	−	0.499730i
$149$	−4.32654	+	6.73223i	−0.354444	+	0.551526i	−0.971994	−	0.235006i	$-0.924489\pi$
$149$	−4.32654	+	6.73223i	−0.354444	+	0.551526i	0.617550	+	0.786532i	$0.288125\pi$
$150$	0.296784	+	0.873296i	0.0242323	+	0.0713044i
$151$	14.8920	+	12.9040i	1.21189	+	1.05011i	0.997302	+	0.0734076i	$0.0233874\pi$
$151$	14.8920	+	12.9040i	1.21189	+	1.05011i	0.214591	+	0.976704i	$0.431158\pi$
$152$	4.10658	−	19.7312i	0.333088	−	1.60041i
$153$	2.29453	+	7.01796i	0.185502	+	0.567368i
$154$	−0.433248	+	0.396230i	−0.0349121	+	0.0319291i
$155$	−6.46298	−	14.1519i	−0.519119	−	1.13671i
$156$	−12.3497	−	4.64282i	−0.988769	−	0.371723i
$157$	10.1676	−	22.2639i	0.811461	−	1.77685i	0.210459	−	0.977603i	$-0.432504\pi$
$157$	10.1676	−	22.2639i	0.811461	−	1.77685i	0.601001	−	0.799248i	$-0.294769\pi$
$158$	−9.78971	−	1.14072i	−0.778827	−	0.0907505i
$159$	1.90197	−	14.8245i	0.150836	−	1.17566i
$160$	−1.62508	−	12.0544i	−0.128474	−	0.952987i
$161$	−2.55442	+	3.92616i	−0.201317	+	0.309425i
$162$	11.8518	−	4.64048i	0.931168	−	0.364590i
$163$	12.6263	+	19.6469i	0.988968	+	1.53886i	0.834604	+	0.550851i	$0.185697\pi$
$163$	12.6263	+	19.6469i	0.988968	+	1.53886i	0.154364	+	0.988014i	$0.450667\pi$
$164$	21.7097	+	1.94162i	1.69524	+	0.151615i
$165$	0.679437	+	1.42984i	0.0528941	+	0.111313i
$166$	9.73404	−	3.14386i	0.755508	−	0.244011i
$167$	−3.29649	−	7.21830i	−0.255090	−	0.558569i	0.738152	−	0.674635i	$-0.235699\pi$
$167$	−3.29649	−	7.21830i	−0.255090	−	0.558569i	−0.993242	+	0.116066i	$0.962972\pi$
$168$	−4.76289	+	0.456727i	−0.367465	+	0.0352373i
$169$	−0.214319	−	1.49062i	−0.0164861	−	0.114663i
$170$	−7.23489	−	1.91533i	−0.554891	−	0.146899i
$171$	−11.0052	+	18.3260i	−0.841586	+	1.40143i
$172$	−5.31341	+	9.33199i	−0.405143	+	0.711557i
$173$	−2.04525	+	3.18247i	−0.155497	+	0.241958i	−0.910258	−	0.414042i	$-0.864117\pi$
$173$	−2.04525	+	3.18247i	−0.155497	+	0.241958i	0.754761	+	0.656000i	$0.227753\pi$
$174$	−0.465275	−	2.48901i	−0.0352724	−	0.188692i
$175$	−0.103612	+	0.352869i	−0.00783232	+	0.0266744i
$176$	0.420655	+	1.64740i	0.0317080	+	0.124177i
$177$	−0.117481	−	7.72935i	−0.00883042	−	0.580973i
$178$	−18.0799	+	8.84983i	−1.35515	+	0.663323i
$179$	5.16043	−	1.51524i	0.385709	−	0.113254i	−0.0831285	−	0.996539i	$-0.526491\pi$
$179$	5.16043	−	1.51524i	0.385709	−	0.113254i	0.468837	+	0.883284i	$0.344673\pi$
$180$	−2.58334	+	12.6400i	−0.192551	+	0.942133i
$181$	−3.33707	+	23.2098i	−0.248042	+	1.72517i	0.361461	+	0.932387i	$0.382278\pi$
$181$	−3.33707	+	23.2098i	−0.248042	+	1.72517i	−0.609503	+	0.792784i	$0.708631\pi$
$182$	−2.96170	−	4.34775i	−0.219536	−	0.322277i
$183$	7.73673	+	6.50071i	0.571916	+	0.480546i
$184$	6.54120	+	11.8833i	0.482224	+	0.876048i
$185$		−	8.27619i		−	0.608478i
$186$	−1.78349	+	17.6333i	−0.130772	+	1.29293i
$187$	1.03551	+	0.148884i	0.0757240	+	0.0108875i
$188$	2.75275	−	6.99747i	0.200765	−	0.510343i
$189$	4.92952	+	1.20636i	0.358570	+	0.0877498i
$190$	−9.52607	−	19.4614i	−0.691094	−	1.41188i
$191$	−8.03392	−	9.27163i	−0.581314	−	0.670872i	0.386573	−	0.922259i	$-0.373659\pi$
$191$	−8.03392	−	9.27163i	−0.581314	−	0.670872i	−0.967887	+	0.251387i	$0.919113\pi$
$192$	−5.33456	+	12.7884i	−0.384989	+	0.922921i
$193$	−18.9984	−	5.57842i	−1.36753	−	0.401544i	−0.486120	−	0.873892i	$-0.661588\pi$
$193$	−18.9984	−	5.57842i	−1.36753	−	0.401544i	−0.881412	+	0.472348i	$0.843406\pi$
$194$	−5.71834	+	6.96818i	−0.410553	+	0.500286i
$195$	−13.5477	+	4.20264i	−0.970172	+	0.300957i
$196$	10.5082	+	5.98314i	0.750589	+	0.427367i
$197$	1.57384	+	1.36374i	0.112132	+	0.0971627i	0.709122	−	0.705086i	$-0.249091\pi$
$197$	1.57384	+	1.36374i	0.112132	+	0.0971627i	−0.596990	+	0.802248i	$0.703637\pi$
$198$	0.154187	−	1.79679i	0.0109576	−	0.127692i
$199$	−10.6427	+	1.53019i	−0.754440	+	0.108472i	−0.508795	−	0.860888i	$-0.669909\pi$
$199$	−10.6427	+	1.53019i	−0.754440	+	0.108472i	−0.245645	+	0.969360i	$0.579000\pi$
$200$	0.759844	+	0.746285i	0.0537291	+	0.0527703i
$201$	7.33658	+	2.03363i	0.517482	+	0.143441i
$202$	2.18211	+	6.75626i	0.153533	+	0.475369i
$203$	0.419415	−	0.918392i	0.0294372	−	0.0644585i
$204$	6.01294	+	6.04429i	0.420990	+	0.423185i
$205$	19.7135	−	12.6691i	1.37685	−	0.884849i
$206$	−0.150124	−	5.60013i	−0.0104596	−	0.390180i
$207$	−2.39988	−	14.1859i	−0.166803	−	0.985990i
$208$	−15.1472	+	1.63008i	−1.05027	+	0.113026i
$209$	1.63749	+	2.54799i	0.113268	+	0.176248i
$210$	−3.74280	+	3.52894i	−0.258278	+	0.243520i
$211$	−12.3269	−	5.62949i	−0.848617	−	0.387550i	−0.0568565	−	0.998382i	$-0.518108\pi$
$211$	−12.3269	−	5.62949i	−0.848617	−	0.387550i	−0.791760	+	0.610832i	$0.790835\pi$
$212$	−5.74239	−	16.2749i	−0.394389	−	1.11776i
$213$	−4.81874	+	17.3843i	−0.330175	+	1.19115i
$214$	−3.95915	−	4.32904i	−0.270642	−	0.295927i
$215$	1.64306	+	11.4277i	0.112056	+	0.779363i
$216$	9.80971	−	10.9439i	0.667466	−	0.744640i
$217$	−4.62774	+	5.34070i	−0.314151	+	0.362550i
$218$	−16.4326	−	9.94871i	−1.11296	−	0.673812i
$219$	2.17896	+	7.02413i	0.147240	+	0.474647i
$220$	1.44363	+	1.12133i	0.0973296	+	0.0755999i
$221$	−2.64091	+	8.99411i	−0.177647	+	0.605009i
$222$	−4.75969	+	8.13842i	−0.319450	+	0.546215i
$223$	−0.614893	+	0.532808i	−0.0411763	+	0.0356795i	−0.675206	−	0.737629i	$-0.735945\pi$
$223$	−0.614893	+	0.532808i	−0.0411763	+	0.0356795i	0.634030	+	0.773309i	$0.281400\pi$
$224$	−4.67397	+	2.94601i	−0.312293	+	0.196839i
$225$	−0.500283	−	1.01282i	−0.0333522	−	0.0675215i
$226$	20.1230	+	8.54581i	1.33856	+	0.568459i
$227$	2.75708	−	19.1759i	0.182994	−	1.27275i	−0.666642	−	0.745378i	$-0.732269\pi$
$227$	2.75708	−	19.1759i	0.182994	−	1.27275i	0.849635	−	0.527371i	$-0.176822\pi$
$228$	−1.82491	+	24.6160i	−0.120858	+	1.63023i
$229$	−18.8962			−1.24869			−0.624347	−	0.781147i	$-0.714635\pi$
$229$	−18.8962			−1.24869			−0.624347	+	0.781147i	$0.714635\pi$
$230$	13.3910	+	5.77576i	0.882978	+	0.380842i
$231$	0.462573	−	0.550526i	0.0304351	−	0.0362219i
$232$	−1.77320	−	2.32479i	−0.116416	−	0.152630i
$233$	1.56675	+	0.225265i	0.102641	+	0.0147576i	0.193444	−	0.981111i	$-0.438034\pi$
$233$	1.56675	+	0.225265i	0.102641	+	0.0147576i	−0.0908028	+	0.995869i	$0.528943\pi$
$234$	15.7392	+	3.65870i	1.02890	+	0.239177i
$235$	−2.27760	−	7.75678i	−0.148574	−	0.505997i
$236$	−4.13772	−	7.90915i	−0.269343	−	0.514842i
$237$	12.0696	−	0.183451i	0.784006	−	0.0119164i
$238$	0.573791	+	3.35069i	0.0371933	+	0.217193i
$239$	−10.1008	−	2.96587i	−0.653367	−	0.191846i	−0.0617835	−	0.998090i	$-0.519679\pi$
$239$	−10.1008	−	2.96587i	−0.653367	−	0.191846i	−0.591584	+	0.806244i	$0.701497\pi$
$240$	3.90460	+	14.3764i	0.252041	+	0.927990i
$241$	−11.8045	−	7.58629i	−0.760394	−	0.488676i	0.102080	−	0.994776i	$-0.467450\pi$
$241$	−11.8045	−	7.58629i	−0.760394	−	0.488676i	−0.862474	+	0.506101i	$0.831086\pi$
$242$	13.0889	+	7.92435i	0.841388	+	0.509396i
$243$	−13.6472	+	7.53349i	−0.875469	+	0.483273i
$244$	11.3559	+	2.68286i	0.726989	+	0.171752i
$245$	12.8681	−	1.85016i	0.822114	−	0.118202i
$246$	−26.6714	+	1.12083i	−1.70051	+	0.0714617i
$247$	−24.6863	+	11.2738i	−1.57075	+	0.717338i
$248$	7.32412	+	19.1095i	0.465082	+	1.21346i
$249$	−11.3155	+	5.37695i	−0.717094	+	0.340750i
$250$	16.2395	+	1.89226i	1.02708	+	0.119677i
$251$	9.91366	−	6.37112i	0.625745	−	0.402142i	−0.188987	−	0.981980i	$-0.560520\pi$
$251$	9.91366	−	6.37112i	0.625745	−	0.402142i	0.814732	+	0.579838i	$0.196884\pi$
$252$	5.71002	−	1.31769i	0.359697	−	0.0830066i
$253$	−1.95271	−	0.585285i	−0.122766	−	0.0367966i
$254$	0.485418	+	18.1077i	0.0304578	+	1.13618i
$255$	9.09163	+	1.16644i	0.569340	+	0.0730455i
$256$	1.14473	+	15.9590i	0.0715454	+	0.997437i
$257$	−5.31427	−	2.42695i	−0.331495	−	0.151389i	0.242713	−	0.970098i	$-0.421963\pi$
$257$	−5.31427	−	2.42695i	−0.331495	−	0.151389i	−0.574208	+	0.818709i	$0.694690\pi$
$258$	4.95645	−	12.1824i	0.308575	−	0.758444i
$259$	−3.41952	+	1.56164i	−0.212479	+	0.0970358i
$260$	−11.7860	+	11.3737i	−0.730934	+	0.705368i
$261$	0.963741	+	2.94766i	0.0596541	+	0.182456i
$262$	−8.75619	−	2.31807i	−0.540959	−	0.143211i
$263$	−3.19764	+	3.69027i	−0.197175	+	0.227552i	−0.845724	−	0.533621i	$-0.820831\pi$
$263$	−3.19764	+	3.69027i	−0.197175	+	0.227552i	0.648549	+	0.761173i	$0.275376\pi$
$264$	−0.774717	−	1.93290i	−0.0476805	−	0.118962i
$265$	−15.6090	−	10.0313i	−0.958855	−	0.616219i
$266$	−6.24352	+	7.60815i	−0.382815	+	0.466485i
$267$	20.5350	−	13.6424i	1.25672	−	0.834904i
$268$	8.62198	−	1.71548i	0.526671	−	0.104790i
$269$	8.84627	−	7.66533i	0.539366	−	0.467364i	−0.342065	−	0.939676i	$-0.611126\pi$
$269$	8.84627	−	7.66533i	0.539366	−	0.467364i	0.881431	+	0.472313i	$0.156581\pi$
$270$	1.11153	−	15.7617i	0.0676455	−	0.959226i
$271$	−5.30499	−	18.0671i	−0.322255	−	1.09750i	−0.948211	−	0.317641i	$-0.897109\pi$
$271$	−5.30499	−	18.0671i	−0.322255	−	1.09750i	0.625956	−	0.779859i	$-0.284709\pi$
$272$	9.34124	+	3.10799i	0.566396	+	0.188450i
$273$	4.29276	+	4.80459i	0.259810	+	0.290787i
$274$	−13.7142	−	20.1323i	−0.828504	−	1.21623i
$275$	−0.160057			−0.00965178
$276$	−9.84643	−	13.3809i	−0.592685	−	0.805434i
$277$	14.4504			0.868239			0.434119	−	0.900855i	$-0.357060\pi$
$277$	14.4504			0.868239			0.434119	+	0.900855i	$0.357060\pi$
$278$	10.2682	+	15.0737i	0.615848	+	0.904059i
$279$	−0.659696	−	21.6964i	−0.0394949	−	1.29893i
$280$	−2.02560	+	5.58387i	−0.121053	+	0.333700i
$281$	3.43351	+	11.6935i	0.204826	+	0.697574i	0.996267	+	0.0863281i	$0.0275133\pi$
$281$	3.43351	+	11.6935i	0.204826	+	0.697574i	−0.791440	+	0.611246i	$0.790668\pi$
$282$	−2.22130	+	8.93752i	−0.132276	+	0.532221i
$283$	15.2641	−	13.2264i	0.907357	−	0.786230i	−0.0700610	−	0.997543i	$-0.522319\pi$
$283$	15.2641	−	13.2264i	0.907357	−	0.786230i	0.977418	+	0.211313i	$0.0677740\pi$
$284$	4.06489	+	20.4300i	0.241207	+	1.21230i
$285$	14.6849	+	22.1042i	0.869858	+	1.30934i
$286$	1.45240	−	1.76985i	0.0858824	−	0.104654i
$287$	−8.95434	−	5.75461i	−0.528558	−	0.339684i
$288$	4.42835	−	16.3826i	0.260943	−	0.965354i
$289$	−7.16588	+	8.26987i	−0.421522	+	0.486463i
$290$	−3.03878	−	0.804472i	−0.178443	−	0.0472402i
$291$	5.82686	−	9.37711i	0.341576	−	0.549696i
$292$	5.89697	+	6.11071i	0.345094	+	0.357602i
$293$	10.0113	−	4.57201i	0.584867	−	0.267100i	−0.100929	−	0.994894i	$-0.532182\pi$
$293$	10.0113	−	4.57201i	0.584867	−	0.267100i	0.685796	+	0.727794i	$0.259454\pi$
$294$	−13.7179	−	5.58118i	−0.800047	−	0.325501i
$295$	−8.72934	−	3.98655i	−0.508242	−	0.232106i
$296$	−0.678854	+	10.8654i	−0.0394576	+	0.631539i
$297$	0.100670	+	2.20640i	0.00584145	+	0.128028i
$298$	−0.303279	−	11.3133i	−0.0175685	−	0.655365i
$299$	7.68095	−	16.5723i	0.444201	−	0.958399i
$300$	−1.04219	−	0.784409i	−0.0601708	−	0.0452879i
$301$	4.41163	−	2.83518i	0.254282	−	0.163417i
$302$	−27.6797	−	3.22529i	−1.59279	−	0.185595i
$303$	−3.73206	−	7.85396i	−0.214401	−	0.451198i
$304$	10.9100	+	26.3314i	0.625731	+	1.51021i
$305$	11.4113	−	5.21137i	0.653410	−	0.298402i
$306$	−8.26945	−	6.37568i	−0.472733	−	0.364474i
$307$	10.8413	−	1.55875i	0.618748	−	0.0889626i	0.174189	−	0.984712i	$-0.444270\pi$
$307$	10.8413	−	1.55875i	0.618748	−	0.0889626i	0.444559	+	0.895750i	$0.353360\pi$
$308$	0.190905	−	0.808059i	0.0108778	−	0.0460434i
$309$	1.07955	+	6.77574i	0.0614134	+	0.385458i
$310$	18.8215	+	11.3950i	1.06899	+	0.647192i
$311$	26.6563	+	17.1310i	1.51154	+	0.971409i	0.993223	+	0.116220i	$0.0370779\pi$
$311$	26.6563	+	17.1310i	1.51154	+	0.971409i	0.518318	+	0.855188i	$0.326558\pi$
$312$	18.1309	−	4.40619i	1.02646	−	0.249452i
$313$	−16.7249	−	4.91087i	−0.945347	−	0.277579i	−0.227498	−	0.973778i	$-0.573055\pi$
$313$	−16.7249	−	4.91087i	−0.945347	−	0.277579i	−0.717848	+	0.696200i	$0.754873\pi$
$314$	5.84242	+	34.1172i	0.329707	+	1.92535i
$315$	3.97917	−	4.88459i	0.224201	−	0.275216i
$316$	12.3504	−	6.46119i	0.694764	−	0.363470i
$317$	−8.47083	−	28.8490i	−0.475769	−	1.62032i	−0.751953	−	0.659217i	$-0.770888\pi$
$317$	−8.47083	−	28.8490i	−0.475769	−	1.62032i	0.276184	−	0.961105i	$-0.410930\pi$
$318$	9.58012	+	18.8412i	0.537226	+	1.05656i
$319$	0.434931	+	0.0625337i	0.0243515	+	0.00350121i
$320$	11.4970	+	12.7953i	0.642702	+	0.715280i
$321$	5.50088	+	4.62206i	0.307029	+	0.257978i
$322$	−0.140362	−	6.62268i	−0.00782207	−	0.369068i
$323$	17.5372			0.975795
$324$	−10.1577	+	14.8601i	−0.564316	+	0.825559i
$325$	0.204100	−	1.41955i	0.0113214	−	0.0787423i
$326$	−30.4002	−	12.9103i	−1.68371	−	0.715036i
$327$	21.5468	+	9.44704i	1.19154	+	0.522422i
$328$	−26.9201	+	15.0157i	−1.48642	+	0.829102i
$329$	−2.77515	+	2.40468i	−0.152999	+	0.132575i
$330$	−1.93255	−	1.13024i	−0.106383	−	0.0622174i
$331$	−3.54350	+	12.0680i	−0.194768	+	0.663320i	0.802965	+	0.596026i	$0.203255\pi$
$331$	−3.54350	+	12.0680i	−0.194768	+	0.663320i	−0.997733	+	0.0672934i	$0.978564\pi$
$332$	−8.87400	+	11.4247i	−0.487024	+	0.627010i
$333$	4.47535	−	10.6444i	0.245248	−	0.583311i
$334$	9.60005	+	5.81210i	0.525292	+	0.318024i
$335$	6.18927	−	7.14280i	0.338156	−	0.390253i
$336$	5.20321	−	4.32598i	0.283858	−	0.236001i
$337$	−3.21549	−	22.3642i	−0.175159	−	1.21826i	−0.867777	−	0.496954i	$-0.834452\pi$
$337$	−3.21549	−	22.3642i	−0.175159	−	1.21826i	0.692618	−	0.721305i	$-0.256457\pi$
$338$	1.43731	+	1.57160i	0.0781796	+	0.0854836i
$339$	−25.8030	−	7.15233i	−1.40143	−	0.388461i
$340$	9.98108	−	3.52171i	0.541300	−	0.190991i
$341$	−2.79761	−	1.27763i	−0.151499	−	0.0691873i
$342$	−1.72819	−	30.1816i	−0.0934496	−	1.63203i
$343$	−6.88877	−	10.7191i	−0.371959	−	0.578779i
$344$	−1.21973	−	15.1377i	−0.0657636	−	0.816168i
$345$	−17.1850	−	4.86750i	−0.925212	−	0.262057i
$346$	−0.143366	−	5.34806i	−0.00770743	−	0.287513i
$347$	−8.78944	+	5.64863i	−0.471842	+	0.303234i	−0.754867	−	0.655878i	$-0.772298\pi$
$347$	−8.78944	+	5.64863i	−0.471842	+	0.303234i	0.283025	+	0.959113i	$0.408662\pi$
$348$	2.52553	+	2.53870i	0.135383	+	0.136089i
$349$	−5.91859	+	12.9599i	−0.316815	+	0.693728i	−0.999309	−	0.0371628i	$-0.988168\pi$
$349$	−5.91859	+	12.9599i	−0.316815	+	0.693728i	0.682494	+	0.730891i	$0.260895\pi$
$350$	−0.159849	−	0.494927i	−0.00854431	−	0.0264550i
$351$	−19.6970	−	1.92070i	−1.05135	−	0.102519i
$352$	−1.80330	−	1.59055i	−0.0961161	−	0.0847767i
$353$	−28.3233	+	4.07228i	−1.50750	+	0.216745i	−0.845992	−	0.533195i	$-0.820991\pi$
$353$	−28.3233	+	4.07228i	−1.50750	+	0.216745i	−0.661505	+	0.749940i	$0.730082\pi$
$354$	6.29133	+	8.94049i	0.334380	+	0.475182i
$355$	16.9251	+	14.6657i	0.898290	+	0.778373i
$356$	14.0856	−	24.7387i	0.746535	−	1.31115i
$357$	−1.23356	−	3.97654i	−0.0652871	−	0.210461i
$358$	−4.82508	+	5.87968i	−0.255013	+	0.310751i
$359$	−21.1324	−	6.20504i	−1.11533	−	0.327490i	−0.328402	−	0.944538i	$-0.606510\pi$
$359$	−21.1324	−	6.20504i	−1.11533	−	0.327490i	−0.786925	+	0.617048i	$0.788328\pi$
$360$	−7.04445	−	16.8305i	−0.371275	−	0.887043i
$361$	20.8069	+	24.0125i	1.09510	+	1.26381i
$362$	−14.5790	−	29.7845i	−0.766257	−	1.56544i
$363$	−17.1625	−	7.52476i	−0.900797	−	0.394947i
$364$	6.92325	+	2.72356i	0.362877	+	0.142753i
$365$	9.03697	+	1.29932i	0.473017	+	0.0680096i
$366$	−14.2184	−	1.43810i	−0.743210	−	0.0751709i
$367$		−	13.4817i		−	0.703741i	−0.936049	−	0.351870i	$-0.885546\pi$
$367$		−	13.4817i		−	0.703741i	0.936049	−	0.351870i	$-0.114454\pi$
$368$	−17.1067	−	8.68112i	−0.891747	−	0.452534i
$369$	32.2054	−	5.63430i	1.67655	−	0.293310i
$370$	6.58941	+	9.67318i	0.342567	+	0.502885i
$371$	−1.19941	+	8.34210i	−0.0622704	+	0.433100i
$372$	−11.9549	−	22.0297i	−0.619831	−	1.14219i
$373$	−18.3497	+	5.38796i	−0.950112	+	0.278978i	−0.719834	−	0.694147i	$-0.755782\pi$
$373$	−18.3497	+	5.38796i	−0.950112	+	0.278978i	−0.230279	+	0.973125i	$0.573964\pi$
$374$	−1.32884	+	0.650446i	−0.0687127	+	0.0336338i
$375$	−20.0215	+	0.304314i	−1.03391	+	0.0157147i
$376$	2.35390	+	10.3703i	0.121393	+	0.534809i
$377$	−1.10923	+	3.77767i	−0.0571280	+	0.194560i
$378$	−6.72209	+	2.51484i	−0.345747	+	0.129349i
$379$	−14.8863	+	23.1635i	−0.764658	+	1.18983i	0.212468	+	0.977168i	$0.431850\pi$
$379$	−14.8863	+	23.1635i	−0.764658	+	1.18983i	−0.977126	+	0.212663i	$0.931786\pi$
$380$	26.6290	+	15.1619i	1.36604	+	0.777789i
$381$	−3.49067	−	21.9090i	−0.178832	−	1.12243i
$382$	16.7720	+	4.44014i	0.858129	+	0.227177i
$383$	3.93853	+	27.3931i	0.201249	+	1.39972i	0.800584	+	0.599221i	$0.204523\pi$
$383$	3.93853	+	27.3931i	0.201249	+	1.39972i	−0.599334	+	0.800499i	$0.704568\pi$
$384$	−3.94694	−	19.1943i	−0.201416	−	0.979506i
$385$	−0.370828	−	0.812000i	−0.0188991	−	0.0413833i
$386$	26.6467	−	8.60624i	1.35628	−	0.438046i
$387$	−4.06632	+	15.5863i	−0.206703	+	0.792294i
$388$	1.13558	−	12.6973i	0.0576506	−	0.644605i
$389$	4.64843	+	7.23310i	0.235685	+	0.366733i	0.938869	−	0.344275i	$-0.111875\pi$
$389$	4.64843	+	7.23310i	0.235685	+	0.366733i	−0.703184	+	0.711008i	$0.748239\pi$
$390$	12.4884	−	15.6986i	0.632376	−	0.794928i
$391$	−8.96363	+	7.67942i	−0.453310	+	0.388365i
$392$	−17.0457	+	1.37347i	−0.860938	+	0.0693709i
$393$	11.0033	+	1.41171i	0.555045	+	0.0712115i
$394$	−2.92530	−	0.340862i	−0.147374	−	0.0171724i
$395$	6.22513	−	13.6311i	0.313220	−	0.685857i
$396$	1.25037	+	2.22284i	0.0628335	+	0.111702i
$397$	0.100583	+	0.220246i	0.00504812	+	0.0110538i	0.912139	−	0.409880i	$-0.134430\pi$
$397$	0.100583	+	0.220246i	0.00504812	+	0.0110538i	−0.907091	+	0.420934i	$0.861702\pi$
$398$	11.2208	−	10.2621i	0.562448	−	0.514391i
$399$	6.36200	−	10.2383i	0.318498	−	0.512557i
$400$	−1.48229	−	0.267276i	−0.0741143	−	0.0133638i
$401$	21.5292	+	18.6552i	1.07512	+	0.931594i	0.997858	−	0.0654167i	$-0.0208377\pi$
$401$	21.5292	+	18.6552i	1.07512	+	0.931594i	0.0772592	+	0.997011i	$0.475383\pi$
$402$	−10.1941	+	3.46440i	−0.508436	+	0.172789i
$403$	14.8987	−	23.1829i	0.742159	−	1.15482i
$404$	−7.92969	−	6.15932i	−0.394517	−	0.306438i
$405$	1.17574	+	19.3162i	0.0584228	+	0.959832i
$406$	0.241002	+	1.40735i	0.0119607	+	0.0698454i
$407$	−1.07140	−	1.23646i	−0.0531072	−	0.0612890i
$408$	−11.8403	−	2.27711i	−0.586182	−	0.112734i
$409$	−3.68089	+	1.08081i	−0.182008	+	0.0534424i	−0.371467	−	0.928446i	$-0.621145\pi$
$409$	−3.68089	+	1.08081i	−0.182008	+	0.0534424i	0.189458	+	0.981889i	$0.439327\pi$
$410$	−12.9541	+	30.5033i	−0.639757	+	1.50645i
$411$	19.8777	+	22.2477i	0.980493	+	1.09740i
$412$	4.63422	+	6.42588i	0.228312	+	0.316581i
$413$			4.35898i			0.214491i
$414$	14.0996	+	14.6697i	0.692959	+	0.720977i
$415$			15.5528i			0.763455i
$416$	16.4062	−	13.9653i	0.804378	−	0.684703i
$417$	−14.8830	−	16.6575i	−0.728826	−	0.815723i
$418$	−3.94258	−	1.67433i	−0.192838	−	0.0818940i
$419$	−28.5319	+	8.37772i	−1.39387	+	0.409279i	−0.890576	−	0.454834i	$-0.849699\pi$
$419$	−28.5319	+	8.37772i	−1.39387	+	0.409279i	−0.503299	+	0.864113i	$0.667880\pi$
$420$	1.56487	−	7.10459i	0.0763577	−	0.346669i
$421$	−11.4455	−	13.2088i	−0.557818	−	0.643756i	0.404869	−	0.914375i	$-0.367317\pi$
$421$	−11.4455	−	13.2088i	−0.557818	−	0.643756i	−0.962687	+	0.270619i	$0.912772\pi$
$422$	18.8897	−	3.23478i	0.919538	−	0.157467i
$423$	1.26515	−	11.2080i	0.0615137	−	0.544952i
$424$	19.6695	+	14.4500i	0.955237	+	0.701752i
$425$	−0.501039	+	0.779632i	−0.0243040	+	0.0378177i
$426$	−8.20901	−	24.1553i	−0.397728	−	1.17033i
$427$	−4.30643	−	3.73154i	−0.208403	−	0.180582i
$428$	8.07416	+	1.90753i	0.390279	+	0.0922041i
$429$	−1.47997	+	2.38170i	−0.0714535	+	0.114989i
$430$	−11.0190	−	12.0485i	−0.531384	−	0.581029i
$431$	12.8872	+	28.2191i	0.620757	+	1.35927i	0.914968	+	0.403528i	$0.132216\pi$
$431$	12.8872	+	28.2191i	0.620757	+	1.35927i	−0.294211	+	0.955741i	$0.595057\pi$
$432$	−2.75212	+	20.6016i	−0.132412	+	0.991195i
$433$	8.75380	−	19.1681i	0.420681	−	0.921162i	−0.574067	−	0.818808i	$-0.694635\pi$
$433$	8.75380	−	19.1681i	0.420681	−	0.921162i	0.994748	−	0.102354i	$-0.0326375\pi$
$434$	1.15668	−	9.92673i	0.0555226	−	0.476499i
$435$	3.81864	+	0.489925i	0.183090	+	0.0234901i
$436$	27.1275	−	1.45547i	1.29917	−	0.0697043i
$437$	−33.7972	−	5.05297i	−1.61674	−	0.241716i
$438$	−8.13929	−	6.47492i	−0.388910	−	0.309383i
$439$	−6.42694	−	10.0005i	−0.306741	−	0.477299i	0.653323	−	0.757080i	$-0.273374\pi$
$439$	−6.42694	−	10.0005i	−0.306741	−	0.477299i	−0.960064	+	0.279781i	$0.909738\pi$
$440$	−2.58010	−	0.161201i	−0.123001	−	0.00768494i
$441$	17.5508	+	4.57886i	0.835753	+	0.218041i
$442$	−4.07432	−	12.6149i	−0.193796	−	0.600031i
$443$	−1.37346	−	3.00747i	−0.0652552	−	0.142889i	0.874194	−	0.485576i	$-0.161390\pi$
$443$	−1.37346	−	3.00747i	−0.0652552	−	0.142889i	−0.939450	+	0.342687i	$0.888663\pi$
$444$	−0.916605	−	13.3018i	−0.0435001	−	0.631274i
$445$	−4.35567	−	30.2943i	−0.206478	−	1.43609i
$446$	0.294469	−	1.11231i	0.0139435	−	0.0526696i
$447$	2.18090	+	13.6883i	0.103153	+	0.647434i
$448$	3.11734	−	7.16465i	0.147280	−	0.338498i
$449$	−15.8264	+	24.6264i	−0.746896	+	1.16219i	0.234857	+	0.972030i	$0.424538\pi$
$449$	−15.8264	+	24.6264i	−0.746896	+	1.16219i	−0.981753	+	0.190163i	$0.939099\pi$
$450$	1.39113	+	0.785463i	0.0655783	+	0.0370271i
$451$	1.30510	−	4.44478i	0.0614550	−	0.209296i
$452$	−30.3238	+	6.03340i	−1.42631	+	0.283787i
$453$	34.1260	−	0.518694i	1.60338	−	0.0243703i
$454$	12.0452	+	24.6079i	0.565308	+	1.15490i
$455$	7.67451	−	2.25344i	0.359787	−	0.105643i
$456$	−17.4660	−	30.2240i	−0.817921	−	1.41537i
$457$	−5.57586	+	38.7810i	−0.260828	+	1.81410i	0.265830	+	0.964020i	$0.414354\pi$
$457$	−5.57586	+	38.7810i	−0.260828	+	1.81410i	−0.526658	+	0.850077i	$0.676555\pi$
$458$	22.0858	−	15.0449i	1.03200	−	0.703002i
$459$	11.0625	+	6.41653i	0.516351	+	0.299498i
$460$	−20.2500	+	3.91109i	−0.944159	+	0.182356i
$461$		−	31.9989i		−	1.49034i	−0.666876	−	0.745169i	$-0.732369\pi$
$461$		−	31.9989i		−	1.49034i	0.666876	−	0.745169i	$-0.267631\pi$
$462$	−0.102332	+	1.01175i	−0.00476090	+	0.0470708i
$463$	21.8454	+	3.14090i	1.01524	+	0.145970i	0.629796	−	0.776760i	$-0.283138\pi$
$463$	21.8454	+	3.14090i	1.01524	+	0.145970i	0.385447	+	0.922730i	$0.374047\pi$
$464$	3.92348	+	1.30541i	0.182143	+	0.0606020i
$465$	−24.6792	−	10.8204i	−1.14447	−	0.501784i
$466$	−2.01057	+	0.984140i	−0.0931376	+	0.0455894i
$467$	3.35407	+	3.87081i	0.155208	+	0.179120i	0.828028	−	0.560686i	$-0.189463\pi$
$467$	3.35407	+	3.87081i	0.155208	+	0.179120i	−0.672820	+	0.739806i	$0.734917\pi$
$468$	−21.3089	+	8.25506i	−0.985003	+	0.381590i
$469$	−4.11910	−	1.20948i	−0.190202	−	0.0558484i
$470$	8.83790	+	7.25270i	0.407662	+	0.334542i
$471$	−12.5603	−	40.4897i	−0.578749	−	1.86567i
$472$	11.1333	+	5.94978i	0.512453	+	0.273861i
$473$	1.72485	+	1.49459i	0.0793087	+	0.0687214i
$474$	−13.9609	+	9.82411i	−0.641244	+	0.451236i
$475$	−2.65579	+	0.381844i	−0.121856	+	0.0175202i
$476$	−3.33843	−	3.45943i	−0.153017	−	0.158563i
$477$	−14.6511	−	21.3424i	−0.670830	−	0.977201i
$478$	14.1672	−	4.57566i	0.647991	−	0.209286i
$479$	3.33370	−	7.29979i	0.152321	−	0.333536i	−0.818054	−	0.575142i	$-0.804947\pi$
$479$	3.33370	−	7.29979i	0.152321	−	0.333536i	0.970374	+	0.241606i	$0.0776741\pi$
$480$	−16.0100	−	13.6942i	−0.730752	−	0.625054i
$481$	12.3324	−	7.92555i	0.562309	−	0.361374i
$482$	19.8372	−	0.531778i	0.903558	−	0.0242218i
$483$	1.23153	+	8.01890i	0.0560367	+	0.364873i
$484$	−21.6076	+	1.15931i	−0.982162	+	0.0526959i
$485$	−7.40972	−	11.5298i	−0.336458	−	0.523539i
$486$	9.95274	−	19.6709i	0.451465	−	0.892289i
$487$	20.7435	+	9.47326i	0.939980	+	0.429274i	0.825659	−	0.564169i	$-0.190804\pi$
$487$	20.7435	+	9.47326i	0.939980	+	0.429274i	0.114321	+	0.993444i	$0.463531\pi$
$488$	−15.4088	+	5.90575i	−0.697525	+	0.267341i
$489$	38.9810	+	10.8052i	1.76278	+	0.488626i
$490$	−13.5671	+	12.4079i	−0.612901	+	0.560532i
$491$	2.94467	+	20.4806i	0.132891	+	0.924277i	0.941759	+	0.336287i	$0.109171\pi$
$491$	2.94467	+	20.4806i	0.132891	+	0.924277i	−0.808868	+	0.587990i	$0.799920\pi$
$492$	30.2811	−	22.5455i	1.36518	−	1.01643i
$493$	1.66610	−	1.92278i	0.0750375	−	0.0865979i
$494$	19.8771	−	32.8317i	0.894314	−	1.47717i
$495$	2.52763	+	1.06272i	0.113608	+	0.0477656i
$496$	−23.7752	−	16.5038i	−1.06754	−	0.741041i
$497$	2.86589	−	9.76032i	0.128553	−	0.437810i
$498$	8.94450	−	15.2939i	0.400813	−	0.685334i
$499$	−18.1339	+	15.7131i	−0.811783	+	0.703414i	−0.958291	−	0.285795i	$-0.907742\pi$
$499$	−18.1339	+	15.7131i	−0.811783	+	0.703414i	0.146507	+	0.989210i	$0.453197\pi$
$500$	−20.4873	+	10.7181i	−0.916219	+	0.479326i
$501$	−12.5878	−	5.51902i	−0.562381	−	0.246572i
$502$	−6.51443	+	15.3397i	−0.290753	+	0.684643i
$503$	−2.53136	+	17.6060i	−0.112868	+	0.785013i	0.852238	+	0.523154i	$0.175245\pi$
$503$	−2.53136	+	17.6060i	−0.112868	+	0.785013i	−0.965106	+	0.261859i	$0.915664\pi$
$504$	−5.62472	+	6.08636i	−0.250545	+	0.271108i
$505$	−10.7949			−0.480369
$506$	2.74831	−	0.870644i	0.122177	−	0.0387048i
$507$	−1.99702	−	1.67797i	−0.0886907	−	0.0745215i
$508$	−14.9845	−	20.7778i	−0.664831	−	0.921865i
$509$	4.85977	+	0.698729i	0.215405	+	0.0309706i	0.249173	−	0.968459i	$-0.419841\pi$
$509$	4.85977	+	0.698729i	0.215405	+	0.0309706i	−0.0337671	+	0.999430i	$0.510750\pi$
$510$	−11.5550	+	5.87532i	−0.511663	+	0.260163i
$511$	−1.16835	−	3.97903i	−0.0516847	−	0.176022i
$512$	−14.0443	−	17.7414i	−0.620677	−	0.784066i
$513$	6.93416	+	36.3702i	0.306151	+	1.60578i
$514$	8.14360	−	1.39456i	0.359199	−	0.0615112i
$515$	8.17268	+	2.39971i	0.360131	+	0.105744i
$516$	3.90642	+	18.1850i	0.171970	+	0.800551i
$517$	−1.34443	−	0.864012i	−0.0591279	−	0.0379992i
$518$	2.75336	−	4.54783i	0.120976	−	0.199820i
$519$	1.03096	+	6.47074i	0.0452540	+	0.284034i
$520$	4.71976	−	22.6774i	0.206975	−	0.994470i
$521$	−36.7962	+	5.29049i	−1.61207	+	0.231781i	−0.888636	−	0.458614i	$-0.848346\pi$
$521$	−36.7962	+	5.29049i	−1.61207	+	0.231781i	−0.723433	+	0.690394i	$0.757437\pi$
$522$	−3.47331	−	2.67789i	−0.152023	−	0.117208i
$523$	33.6612	−	15.3725i	1.47190	−	0.672194i	0.491802	−	0.870707i	$-0.336339\pi$
$523$	33.6612	−	15.3725i	1.47190	−	0.672194i	0.980098	+	0.198513i	$0.0636112\pi$
$524$	12.0798	−	4.26222i	0.527709	−	0.186196i
$525$	0.273391	+	0.575338i	0.0119317	+	0.0251098i
$526$	0.799235	−	6.85910i	0.0348483	−	0.299071i
$527$	−14.9809	+	9.62763i	−0.652577	+	0.419386i
$528$	2.44444	+	1.64235i	0.106381	+	0.0714741i
$529$	19.4871	−	12.2169i	0.847266	−	0.531168i
$530$	26.2306	−	0.703169i	1.13938	−	0.0305437i
$531$	−9.07152	−	9.84771i	−0.393670	−	0.427354i
$532$	1.23988	−	13.8634i	0.0537555	−	0.601054i
$533$	37.7566	+	17.2429i	1.63542	+	0.746871i
$534$	−13.1393	+	32.2950i	−0.568594	+	1.39754i
$535$	8.11354	−	3.70533i	0.350779	−	0.160195i
$536$	−8.71149	+	8.86977i	−0.376279	+	0.383116i
$537$	4.91665	−	7.91231i	0.212169	−	0.341441i
$538$	−4.23643	+	16.0025i	−0.182646	+	0.689917i
$539$	1.68298	−	1.94226i	0.0724910	−	0.0836590i
$540$	11.2501	+	19.3072i	0.484128	+	0.830849i
$541$	13.5297	+	8.69500i	0.581687	+	0.373827i	0.798146	−	0.602464i	$-0.205814\pi$
$541$	13.5297	+	8.69500i	0.581687	+	0.373827i	−0.216459	+	0.976292i	$0.569451\pi$
$542$	20.5853	+	16.8930i	0.884214	+	0.725617i
$543$	22.4743	+	33.8290i	0.964463	+	1.45174i
$544$	−13.3926	+	3.80478i	−0.574201	+	0.163129i
$545$	22.0732	−	19.1265i	0.945510	−	0.819289i
$546$	−8.84272	−	2.19774i	−0.378434	−	0.0940544i
$547$	8.08653	+	27.5402i	0.345755	+	1.17753i	0.930492	+	0.366311i	$0.119379\pi$
$547$	8.08653	+	27.5402i	0.345755	+	1.17753i	−0.584737	+	0.811223i	$0.698802\pi$
$548$	32.0581	+	12.6114i	1.36946	+	0.538734i
$549$	17.4947	−	0.531940i	0.746657	−	0.0227027i
$550$	0.187074	−	0.127435i	0.00797685	−	0.00543386i
$551$	7.36591			0.313798
$552$	22.1622	+	7.79991i	0.943284	+	0.331986i
$553$	−6.80669			−0.289450
$554$	−16.8895	+	11.5052i	−0.717568	+	0.488810i
$555$	−9.55085	−	10.6896i	−0.405411	−	0.453748i
$556$	−24.0030	−	9.44259i	−1.01795	−	0.400455i
$557$	3.97092	+	13.5237i	0.168253	+	0.573018i	0.999845	+	0.0176297i	$0.00561200\pi$
$557$	3.97092	+	13.5237i	0.168253	+	0.573018i	−0.831591	+	0.555388i	$0.812570\pi$
$558$	18.0455	+	24.8334i	0.763926	+	1.05128i
$559$	−15.4550	+	13.3919i	−0.653679	+	0.566416i
$560$	−2.07829	−	8.13917i	−0.0878240	−	0.343943i
$561$	1.50929	−	1.00269i	0.0637221	−	0.0423338i
$562$	−13.3233	−	10.9336i	−0.562009	−	0.461205i
$563$	24.0709	+	15.4694i	1.01447	+	0.651957i	0.938545	−	0.345157i	$-0.112174\pi$
$563$	24.0709	+	15.4694i	1.01447	+	0.651957i	0.0759203	+	0.997114i	$0.475811\pi$
$564$	−4.51971	−	12.2147i	−0.190314	−	0.514332i
$565$	−21.7679	+	25.1215i	−0.915781	+	1.05687i
$566$	−7.30990	+	27.6121i	−0.307258	+	1.16062i
$567$	7.75916	−	4.13059i	0.325854	−	0.173469i
$568$	−21.0172	−	20.6421i	−0.881861	−	0.866125i
$569$	11.1117	−	5.07452i	0.465825	−	0.212735i	−0.168654	−	0.985675i	$-0.553942\pi$
$569$	11.1117	−	5.07452i	0.465825	−	0.212735i	0.634479	+	0.772940i	$0.281215\pi$
$570$	−34.7627	−	14.1433i	−1.45605	−	0.592398i
$571$	2.67975	+	1.22380i	0.112144	+	0.0512144i	0.470697	−	0.882295i	$-0.344003\pi$
$571$	2.67975	+	1.22380i	0.112144	+	0.0512144i	−0.358553	+	0.933509i	$0.616730\pi$
$572$	−0.288428	+	3.22498i	−0.0120598	+	0.134843i
$573$	−21.0763	−	2.70405i	−0.880474	−	0.112964i
$574$	15.0475	−	0.403383i	0.628073	−	0.0168369i
$575$	1.19022	−	1.35812i	0.0496357	−	0.0566375i
$576$	7.86781	+	22.6737i	0.327825	+	0.944738i
$577$	32.5111	−	20.8936i	1.35346	−	0.869813i	0.355560	−	0.934653i	$-0.384290\pi$
$577$	32.5111	−	20.8936i	1.35346	−	0.869813i	0.997896	+	0.0648403i	$0.0206538\pi$
$578$	1.79108	−	15.3712i	0.0744991	−	0.639357i
$579$	−30.9760	+	14.7193i	−1.28732	+	0.611711i
$580$	4.19222	−	1.47917i	0.174072	−	0.0614194i
$581$	6.42603	−	2.93467i	0.266597	−	0.121751i
$582$	0.655536	+	15.5992i	0.0271728	+	0.646608i
$583$	−3.63059	+	0.522000i	−0.150364	+	0.0216190i
$584$	−11.7576	−	2.44707i	−0.486534	−	0.101261i
$585$	−12.6484	+	21.0624i	−0.522948	+	0.870824i
$586$	−8.06100	+	13.3146i	−0.332997	+	0.550023i
$587$	−10.6076	−	6.81712i	−0.437825	−	0.281373i	0.303103	−	0.952958i	$-0.401977\pi$
$587$	−10.6076	−	6.81712i	−0.437825	−	0.281373i	−0.740927	+	0.671585i	$0.765614\pi$
$588$	20.4772	−	4.39880i	0.844463	−	0.181403i
$589$	−49.4682	−	14.5252i	−2.03830	−	0.598499i
$590$	13.3769	−	2.29073i	0.550717	−	0.0943078i
$591$	3.60657	−	0.0548176i	0.148354	−	0.00225489i
$592$	−7.85747	−	13.2399i	−0.322940	−	0.544158i
$593$	−0.749164	−	2.55142i	−0.0307645	−	0.104774i	0.942680	−	0.333699i	$-0.108297\pi$
$593$	−0.749164	−	2.55142i	−0.0307645	−	0.104774i	−0.973444	+	0.228925i	$0.926479\pi$
$594$	−1.87437	−	2.49868i	−0.0769065	−	0.102522i
$595$	−5.11606	−	0.735579i	−0.209738	−	0.0301558i
$596$	9.36203	+	12.9815i	0.383484	+	0.531744i
$597$	−11.9803	+	14.2582i	−0.490322	+	0.583550i
$598$	4.21719	+	25.4851i	0.172454	+	1.04216i
$599$	−18.2930			−0.747432			−0.373716	−	0.927543i	$-0.621916\pi$
$599$	−18.2930			−0.747432			−0.373716	+	0.927543i	$0.621916\pi$
$600$	1.84264	+	0.0870358i	0.0752256	+	0.00355322i
$601$	−1.16172	+	8.07992i	−0.0473874	+	0.329587i	0.952313	+	0.305122i	$0.0986973\pi$
$601$	−1.16172	+	8.07992i	−0.0473874	+	0.329587i	−0.999701	+	0.0244649i	$0.992212\pi$
$602$	−2.89895	+	6.82623i	−0.118153	+	0.278216i
$603$	11.8228	−	5.83987i	0.481462	−	0.237818i
$604$	34.9199	−	18.2685i	1.42087	−	0.743337i
$605$	−17.5817	+	15.2346i	−0.714798	+	0.619376i
$606$	10.6152	+	6.20825i	0.431215	+	0.252193i
$607$	7.87336	−	26.8142i	0.319570	−	1.08835i	−0.630467	−	0.776216i	$-0.717137\pi$
$607$	7.87336	−	26.8142i	0.319570	−	1.08835i	0.950037	−	0.312139i	$-0.101045\pi$
$608$	−33.7163	−	22.0896i	−1.36738	−	0.895851i
$609$	−0.518117	−	1.67021i	−0.0209952	−	0.0676805i
$610$	−9.18826	+	15.1766i	−0.372022	+	0.614482i
$611$	9.37732	−	10.8220i	0.379366	−	0.437811i
$612$	14.7415	+	0.867829i	0.595892	+	0.0350799i
$613$	−1.59730	−	11.1095i	−0.0645143	−	0.448707i	−0.996317	−	0.0857424i	$-0.972674\pi$
$613$	−1.59730	−	11.1095i	−0.0645143	−	0.448707i	0.931803	−	0.362964i	$-0.118235\pi$
$614$	−11.4303	+	10.4536i	−0.461288	+	0.421874i
$615$	10.8418	−	39.1132i	0.437183	−	1.57720i
$616$	0.420238	+	1.09645i	0.0169319	+	0.0441773i
$617$	−7.61874	−	3.47936i	−0.306719	−	0.140074i	0.256109	−	0.966648i	$-0.417559\pi$
$617$	−7.61874	−	3.47936i	−0.306719	−	0.140074i	−0.562828	+	0.826574i	$0.690287\pi$
$618$	−6.65654	−	7.05993i	−0.267765	−	0.283992i
$619$	7.53335	+	11.7221i	0.302791	+	0.471152i	0.958992	−	0.283435i	$-0.0914739\pi$
$619$	7.53335	+	11.7221i	0.302791	+	0.471152i	−0.656201	+	0.754586i	$0.727838\pi$
$620$	−31.0711	+	1.66705i	−1.24784	+	0.0669505i
$621$	−19.4705	−	15.5532i	−0.781323	−	0.624127i
$622$	−44.7953	+	1.20084i	−1.79613	+	0.0481491i
$623$	−11.6950	+	7.51593i	−0.468551	+	0.301119i
$624$	−17.6831	+	19.5855i	−0.707891	+	0.784049i
$625$	−9.54436	+	20.8992i	−0.381774	+	0.835969i
$626$	23.4580	−	7.57636i	0.937569	−	0.302812i
$627$	5.05542	+	1.40131i	0.201894	+	0.0559630i
$628$	−33.9923	−	35.2244i	−1.35644	−	1.40561i
$629$	−9.37664	+	1.34816i	−0.373871	+	0.0537546i
$630$	−0.761777	+	8.87726i	−0.0303499	+	0.353678i
$631$	−0.614072	−	0.532096i	−0.0244458	−	0.0211824i	0.642552	−	0.766242i	$-0.277876\pi$
$631$	−0.614072	−	0.532096i	−0.0244458	−	0.0211824i	−0.666998	+	0.745060i	$0.732421\pi$
$632$	−9.29077	+	17.3851i	−0.369567	+	0.691540i
$633$	−22.4180	+	6.95429i	−0.891035	+	0.276408i
$634$	32.8699	+	26.9742i	1.30543	+	1.07128i
$635$	−26.4259	−	7.75935i	−1.04868	−	0.307921i
$636$	−26.1983	−	14.3939i	−1.03883	−	0.570756i
$637$	15.0799	+	17.4031i	0.597485	+	0.689535i
$638$	−0.558135	+	0.273198i	−0.0220968	+	0.0108160i
$639$	13.8378	+	28.0145i	0.547413	+	1.10824i
$640$	−23.6251	−	5.80134i	−0.933865	−	0.229318i
$641$	21.6956	+	3.11935i	0.856924	+	0.123207i	0.556753	−	0.830678i	$-0.312047\pi$
$641$	21.6956	+	3.11935i	0.856924	+	0.123207i	0.300171	+	0.953885i	$0.402956\pi$
$642$	−10.1094	−	1.02250i	−0.398988	−	0.0403550i
$643$			2.57371i			0.101497i	0.998711	+	0.0507486i	$0.0161607\pi$
$643$			2.57371i			0.101497i	−0.998711	+	0.0507486i	$0.983839\pi$
$644$	5.43696	+	7.62881i	0.214246	+	0.300617i
$645$	15.3099	+	12.8640i	0.602828	+	0.506520i
$646$	−20.4974	+	13.9629i	−0.806459	+	0.549363i
$647$	−4.54504	+	31.6114i	−0.178684	+	1.24277i	0.681129	+	0.732164i	$0.261489\pi$
$647$	−4.54504	+	31.6114i	−0.178684	+	1.24277i	−0.859812	+	0.510610i	$0.829420\pi$
$648$	0.0408456	−	25.4558i	0.00160457	−	0.999999i
$649$	−1.82024	+	0.534470i	−0.0714506	+	0.0209798i
$650$	0.891675	+	1.82166i	0.0349744	+	0.0714515i
$651$	0.186018	+	12.2386i	0.00729063	+	0.479667i
$652$	45.8107	−	9.11477i	1.79408	−	0.356962i
$653$	−10.2910	+	35.0479i	−0.402718	+	1.37153i	0.469724	+	0.882813i	$0.344353\pi$
$653$	−10.2910	+	35.0479i	−0.402718	+	1.37153i	−0.872442	+	0.488718i	$0.837465\pi$
$654$	−32.7055	+	6.11368i	−1.27889	+	0.239064i
$655$	7.44562	−	11.5856i	0.290925	−	0.452688i
$656$	19.5088	−	38.9837i	0.761692	−	1.52206i
$657$	10.9203	+	6.55787i	0.426042	+	0.255847i
$658$	1.32901	−	5.02013i	0.0518101	−	0.195705i
$659$	−5.26305	−	36.6053i	−0.205019	−	1.42594i	−0.789110	−	0.614252i	$-0.789458\pi$
$659$	−5.26305	−	36.6053i	−0.205019	−	1.42594i	0.584091	−	0.811688i	$-0.301451\pi$
$660$	3.15863	−	0.217657i	0.122950	−	0.00847228i
$661$	3.51908	+	7.70571i	0.136876	+	0.299717i	0.965641	−	0.259880i	$-0.0836830\pi$
$661$	3.51908	+	7.70571i	0.136876	+	0.299717i	−0.828765	+	0.559597i	$0.810956\pi$
$662$	−5.46681	−	16.9264i	−0.212474	−	0.657862i
$663$	6.96832	+	14.6645i	0.270627	+	0.569522i
$664$	1.27572	−	20.4185i	0.0495073	−	0.792391i
$665$	−8.09024	−	12.5887i	−0.313726	−	0.488167i
$666$	3.24420	+	16.0044i	0.125710	+	0.620158i
$667$	−3.76488	+	3.22548i	−0.145777	+	0.124891i
$668$	−15.8480	+	0.850293i	−0.613179	+	0.0328988i
$669$	−0.179332	+	1.39777i	−0.00693339	+	0.0540411i
$670$	−1.54698	+	13.2763i	−0.0597651	+	0.512908i
$671$	1.03020	−	2.25583i	0.0397706	−	0.0870854i
$672$	−2.63719	+	9.19892i	−0.101732	+	0.354856i
$673$	6.27903	+	13.7491i	0.242039	+	0.529991i	0.991196	−	0.132401i	$-0.0422687\pi$
$673$	6.27903	+	13.7491i	0.242039	+	0.529991i	−0.749158	+	0.662392i	$0.769541\pi$
$674$	21.5644	+	23.5791i	0.830630	+	0.908233i
$675$	−1.81498	−	0.730835i	−0.0698586	−	0.0281298i
$676$	−2.93121	−	0.692504i	−0.112739	−	0.0266348i
$677$	22.8977	+	19.8410i	0.880030	+	0.762550i	0.972436	−	0.233171i	$-0.0749103\pi$
$677$	22.8977	+	19.8410i	0.880030	+	0.762550i	−0.0924059	+	0.995721i	$0.529456\pi$
$678$	35.8530	−	12.1844i	1.37693	−	0.467940i
$679$	−3.36567	+	5.23708i	−0.129162	+	0.200981i
$680$	−8.86191	+	12.0630i	−0.339839	+	0.462594i
$681$	−18.5682	−	27.9494i	−0.711535	−	1.07103i
$682$	4.28707	−	0.734141i	0.164160	−	0.0281117i
$683$	−5.63727	−	6.50576i	−0.215704	−	0.248936i	0.637577	−	0.770386i	$-0.279937\pi$
$683$	−5.63727	−	6.50576i	−0.215704	−	0.248936i	−0.853282	+	0.521450i	$0.825391\pi$
$684$	26.0501	+	33.9002i	0.996052	+	1.29621i
$685$	35.5368	−	10.4346i	1.35779	−	0.398684i
$686$	16.5860	+	7.04373i	0.633258	+	0.268931i
$687$	−24.4064	+	21.8065i	−0.931163	+	0.831968i
$688$	13.4781	+	16.7217i	0.513846	+	0.637509i
$689$		−	32.8654i		−	1.25207i
$690$	23.9613	−	7.99342i	0.912189	−	0.304304i
$691$		−	29.3861i		−	1.11790i	−0.829202	−	0.558950i	$-0.811205\pi$
$691$		−	29.3861i		−	1.11790i	0.829202	−	0.558950i	$-0.188795\pi$
$692$	4.42563	+	6.13664i	0.168237	+	0.233280i
$693$	−0.0378515	−	1.24488i	−0.00143786	−	0.0472891i
$694$	5.77569	−	13.6001i	0.219242	−	0.516255i
$695$	−26.6076	+	7.81269i	−1.00928	+	0.296352i
$696$	−4.97312	−	0.956423i	−0.188506	−	0.0362531i
$697$	−17.5649	−	20.2710i	−0.665319	−	0.767819i
$698$	−3.40090	−	19.8598i	−0.128726	−	0.751705i
$699$	2.28359	−	1.51710i	0.0863731	−	0.0573820i
$700$	0.580886	+	0.451198i	0.0219554	+	0.0170537i
$701$	−0.926148	+	1.44111i	−0.0349801	+	0.0544301i	−0.858303	−	0.513143i	$-0.828481\pi$
$701$	−0.926148	+	1.44111i	−0.0349801	+	0.0544301i	0.823323	+	0.567573i	$0.192117\pi$
$702$	24.5510	−	13.4376i	0.926618	−	0.507170i
$703$	−20.7273	−	17.9603i	−0.781743	−	0.677385i
$704$	3.37407	+	0.423265i	0.127165	+	0.0159524i
$705$	−11.8932	−	7.39034i	−0.447924	−	0.278336i
$706$	29.8619	−	27.3104i	1.12387	−	1.02784i
$707$	2.03691	+	4.46021i	0.0766060	+	0.167744i
$708$	−14.4716	−	5.44053i	−0.543876	−	0.204468i
$709$	−3.59741	+	7.87723i	−0.135104	+	0.295836i	−0.965077	−	0.261968i	$-0.915629\pi$
$709$	−3.59741	+	7.87723i	−0.135104	+	0.295836i	0.829973	+	0.557804i	$0.188356\pi$
$710$	−31.4586	−	3.66562i	−1.18062	−	0.137568i
$711$	15.3775	−	14.1655i	0.576702	−	0.531246i
$712$	3.23345	+	40.1292i	0.121179	+	1.50391i
$713$	31.6447	−	14.2377i	1.18510	−	0.533205i
$714$	4.60786	+	3.66562i	0.172445	+	0.137182i
$715$	1.88200	+	2.92845i	0.0703828	+	0.109518i
$716$	0.958195	−	10.7138i	0.0358094	−	0.400394i
$717$	−16.4689	+	7.82575i	−0.615044	+	0.292258i
$718$	29.6399	−	9.57297i	1.10615	−	0.357260i
$719$	1.83098	+	4.00930i	0.0682842	+	0.149522i	0.940697	−	0.339249i	$-0.110173\pi$
$719$	1.83098	+	4.00930i	0.0682842	+	0.149522i	−0.872412	+	0.488770i	$0.837446\pi$
$720$	21.6337	+	14.0627i	0.806242	+	0.524084i
$721$	−0.550607	−	3.82956i	−0.0205057	−	0.142620i
$722$	−43.4375	−	11.4995i	−1.61658	−	0.427965i
$723$	−24.0015	+	3.82405i	−0.892624	+	0.142218i
$724$	40.7539	+	23.2043i	1.51461	+	0.862381i
$725$	−0.210445	+	0.327458i	−0.00781572	+	0.0121615i
$726$	26.0506	−	4.86967i	0.966828	−	0.180730i
$727$	−9.63510	+	32.8142i	−0.357346	+	1.21701i	0.563182	+	0.826333i	$0.309577\pi$
$727$	−9.63510	+	32.8142i	−0.357346	+	1.21701i	−0.920528	+	0.390677i	$0.872241\pi$
$728$	−10.2603	+	2.32893i	−0.380273	+	0.0863160i
$729$	−8.93309	+	25.4794i	−0.330855	+	0.943681i
$730$	−11.5969	+	5.67649i	−0.429220	+	0.210096i
$731$	12.6796	−	3.72305i	0.468970	−	0.137702i
$732$	17.7635	−	9.63971i	0.656557	−	0.356294i
$733$	−1.22814	+	8.54187i	−0.0453622	+	0.315501i	0.954489	+	0.298247i	$0.0964017\pi$
$733$	−1.22814	+	8.54187i	−0.0453622	+	0.315501i	−0.999851	+	0.0172548i	$0.994507\pi$
$734$	10.7340	+	15.7574i	0.396199	+	0.581616i
$735$	14.4855	−	17.2397i	0.534304	−	0.635895i
$736$	26.9060	−	3.47368i	0.991769	−	0.128042i
$737$		−	1.86836i		−	0.0688221i
$738$	−33.1556	+	32.2269i	−1.22047	+	1.18629i
$739$	−12.5640	−	1.80643i	−0.462175	−	0.0664508i	−0.0927056	−	0.995694i	$-0.529552\pi$
$739$	−12.5640	−	1.80643i	−0.462175	−	0.0664508i	−0.369470	+	0.929243i	$0.620461\pi$
$740$	−15.4033	−	6.05956i	−0.566238	−	0.222754i
$741$	−18.8748	+	43.0497i	−0.693383	+	1.58147i
$742$	−5.24001	−	10.7052i	−0.192367	−	0.392999i
$743$	−2.17158	−	2.50614i	−0.0796675	−	0.0919412i	0.714516	−	0.699619i	$-0.246647\pi$
$743$	−2.17158	−	2.50614i	−0.0796675	−	0.0919412i	−0.794184	+	0.607678i	$0.792101\pi$
$744$	31.5126	+	16.2299i	1.15531	+	0.595016i
$745$	16.5104	+	4.84789i	0.604894	+	0.177613i
$746$	17.1572	−	20.9073i	0.628171	−	0.765469i
$747$	−8.41017	+	20.0032i	−0.307712	+	0.731879i
$748$	1.03526	−	1.81825i	0.0378530	−	0.0664816i
$749$	−3.06191	−	2.65316i	−0.111880	−	0.0969442i
$750$	23.1588	−	16.2966i	0.845639	−	0.595067i
$751$	9.16102	−	1.31716i	0.334290	−	0.0480637i	0.0268741	−	0.999639i	$-0.491445\pi$
$751$	9.16102	−	1.31716i	0.334290	−	0.0480637i	0.307416	+	0.951575i	$0.400536\pi$
$752$	−11.0080	−	10.2466i	−0.401419	−	0.373657i
$753$	5.45219	−	19.6695i	0.198689	−	0.716796i
$754$	−1.71128	−	5.29848i	−0.0623212	−	0.192959i
$755$	17.6011	−	38.5411i	0.640570	−	1.40265i
$756$	5.85447	−	8.29138i	0.212925	−	0.301555i
$757$	25.8312	−	16.6007i	0.938852	−	0.603364i	0.0207831	−	0.999784i	$-0.493384\pi$
$757$	25.8312	−	16.6007i	0.938852	−	0.603364i	0.918069	+	0.396420i	$0.129748\pi$
$758$	−1.04349	−	38.9257i	−0.0379013	−	1.41385i
$759$	−3.19756	+	1.49749i	−0.116064	+	0.0543556i
$760$	−43.1956	+	3.48053i	−1.56687	+	0.126252i
$761$	−9.99011	−	15.5449i	−0.362141	−	0.563503i	0.611598	−	0.791169i	$-0.290527\pi$
$761$	−9.99011	−	15.5449i	−0.362141	−	0.563503i	−0.973739	+	0.227666i	$0.926891\pi$
$762$	21.5236	+	22.8279i	0.779717	+	0.826968i
$763$	−12.0676	−	5.51110i	−0.436877	−	0.199515i
$764$	−23.1382	+	8.16404i	−0.837111	+	0.295365i
$765$	13.0889	−	8.98529i	0.473231	−	0.324864i
$766$	−26.4134	−	28.8811i	−0.954354	−	1.04352i
$767$	−2.41911	−	16.8253i	−0.0873490	−	0.607526i
$768$	19.8955	+	19.2917i	0.717915	+	0.696130i
$769$	23.6653	−	27.3112i	0.853392	−	0.984867i	−0.146598	−	0.989196i	$-0.546832\pi$
$769$	23.6653	−	27.3112i	0.853392	−	0.984867i	0.999991	+	0.00432885i	$0.00137792\pi$
$770$	1.07993	+	0.653813i	0.0389179	+	0.0235618i
$771$	−9.66468	+	2.99808i	−0.348065	+	0.107973i
$772$	−24.2924	+	31.2747i	−0.874301	+	1.12560i
$773$	−6.52494	+	22.2219i	−0.234686	+	0.799267i	0.754964	+	0.655766i	$0.227654\pi$
$773$	−6.52494	+	22.2219i	−0.234686	+	0.799267i	−0.989650	+	0.143501i	$0.954164\pi$
$774$	−7.65689	−	21.4547i	−0.275221	−	0.771173i
$775$	2.05904	−	1.78417i	0.0739629	−	0.0640892i
$776$	8.78214	+	15.7446i	0.315260	+	0.565200i
$777$	−2.61452	+	5.96321i	−0.0937955	+	0.213929i
$778$	−11.1920	−	4.75299i	−0.401252	−	0.170403i
$779$	11.0515	−	76.8648i	0.395961	−	2.75397i
$780$	−2.09740	+	28.2916i	−0.0750991	+	1.01300i
$781$	4.42715			0.158416
$782$	4.36240	−	16.1124i	0.155999	−	0.576179i
$783$	4.64642	+	2.69505i	0.166049	+	0.0963131i
$784$	18.8294	−	15.1769i	0.672478	−	0.542032i
$785$	−52.0925	−	7.48977i	−1.85926	−	0.267321i
$786$	−13.9846	+	7.11073i	−0.498816	+	0.253631i
$787$	−0.469208	−	1.59797i	−0.0167254	−	0.0569616i	0.950707	−	0.310089i	$-0.100359\pi$
$787$	−0.469208	−	1.59797i	−0.0167254	−	0.0569616i	−0.967433	+	0.253128i	$0.918541\pi$
$788$	3.69047	−	1.93069i	0.131468	−	0.0687780i
$789$	0.128533	+	8.45650i	0.00457591	+	0.301059i
$790$	3.57704	+	20.8884i	0.127266	+	0.743176i
$791$	14.4870	+	4.25376i	0.515098	+	0.151246i
$792$	−3.23123	−	1.60252i	−0.114817	−	0.0569430i
$793$	18.6933	+	12.0135i	0.663820	+	0.426611i
$794$	−0.292919	−	0.177340i	−0.0103953	−	0.00629355i
$795$	−31.7370	+	5.05653i	−1.12560	+	0.179337i
$796$	−4.94431	+	20.9281i	−0.175246	+	0.741778i
$797$	0.993391	−	0.142828i	0.0351877	−	0.00505923i	−0.124699	−	0.992195i	$-0.539796\pi$
$797$	0.993391	−	0.142828i	0.0351877	−	0.00505923i	0.159886	+	0.987135i	$0.448887\pi$
$798$	0.715741	+	17.0318i	0.0253370	+	0.602921i
$799$	−8.41716	+	3.84399i	−0.297778	+	0.135990i
$800$	1.94529	−	0.867788i	0.0687764	−	0.0306809i
$801$	10.7796	−	41.3184i	0.380879	−	1.45991i
$802$	−40.0163	−	4.66278i	−1.41302	−	0.164648i
$803$	1.51832	−	0.975767i	0.0535805	−	0.0344341i
$804$	9.15652	−	12.1656i	0.322926	−	0.429048i
$805$	9.64759	+	2.89167i	0.340033	+	0.101918i
$806$	1.04436	+	38.9582i	0.0367861	+	1.37225i
$807$	2.58000	−	20.1093i	0.0908202	−	0.707882i
$808$	14.1722	+	0.885455i	0.498575	+	0.0311502i
$809$	24.4495	+	11.1657i	0.859599	+	0.392566i	0.795918	−	0.605405i	$-0.206989\pi$
$809$	24.4495	+	11.1657i	0.859599	+	0.392566i	0.0636811	+	0.997970i	$0.479716\pi$
$810$	−16.7536	−	21.6406i	−0.588660	−	0.760375i
$811$	−5.40026	+	2.46621i	−0.189629	+	0.0866005i	−0.507967	−	0.861377i	$-0.669603\pi$
$811$	−5.40026	+	2.46621i	−0.189629	+	0.0866005i	0.318338	+	0.947977i	$0.396875\pi$
$812$	−1.40219	−	1.45302i	−0.0492074	−	0.0509909i
$813$	−27.7017	−	17.2136i	−0.971541	−	0.603708i
$814$	2.23670	+	0.592133i	0.0783962	+	0.0207543i
$815$	32.8851	−	37.9515i	1.15192	−	1.32938i
$816$	15.6519	−	6.76562i	0.547926	−	0.236844i
$817$	32.1857	+	20.6845i	1.12603	+	0.723658i
$818$	3.44168	−	4.19392i	0.120336	−	0.146637i
$819$	11.0891	+	1.25173i	0.387486	+	0.0437390i
$820$	−9.14568	−	45.9660i	−0.319381	−	1.60520i
$821$	−6.30148	+	5.46027i	−0.219923	+	0.190565i	−0.757853	−	0.652425i	$-0.773752\pi$
$821$	−6.30148	+	5.46027i	−0.219923	+	0.190565i	0.537930	+	0.842989i	$0.319206\pi$
$822$	−40.9463	−	10.1766i	−1.42816	−	0.354950i
$823$	−2.50231	−	8.52209i	−0.0872250	−	0.297061i	0.904314	−	0.426867i	$-0.140383\pi$
$823$	−2.50231	−	8.52209i	−0.0872250	−	0.297061i	−0.991539	+	0.129806i	$0.958565\pi$
$824$	−10.5327	−	3.82083i	−0.366923	−	0.133105i
$825$	−0.206730	+	0.184708i	−0.00719743	+	0.00643070i
$826$	−3.47057	−	5.09476i	−0.120757	−	0.177269i
$827$	−32.2311			−1.12079			−0.560393	−	0.828227i	$-0.689350\pi$
$827$	−32.2311			−1.12079			−0.560393	+	0.828227i	$0.689350\pi$
$828$	−28.1594	−	5.91992i	−0.978608	−	0.205732i
$829$	−9.86128			−0.342496			−0.171248	−	0.985228i	$-0.554780\pi$
$829$	−9.86128			−0.342496			−0.171248	+	0.985228i	$0.554780\pi$
$830$	−12.3829	−	18.1780i	−0.429818	−	0.630968i
$831$	18.6642	−	16.6759i	0.647454	−	0.578482i
$832$	−8.05647	+	29.3849i	−0.279308	+	1.01874i
$833$	−4.19233	−	14.2778i	−0.145256	−	0.494695i
$834$	30.6578	+	7.61956i	1.06159	+	0.263844i
$835$	−12.8953	+	11.1738i	−0.446259	+	0.386686i
$836$	5.94115	−	1.18209i	0.205479	−	0.0408833i
$837$	−25.8900	−	27.2619i	−0.894891	−	0.942311i
$838$	26.6777	−	32.5086i	0.921567	−	1.12299i
$839$	38.5449	+	24.7713i	1.33072	+	0.855201i	0.996192	−	0.0871854i	$-0.0277872\pi$
$839$	38.5449	+	24.7713i	1.33072	+	0.855201i	0.334527	+	0.942386i	$0.391424\pi$
$840$	3.82758	+	9.54975i	0.132064	+	0.329498i
$841$	−18.2912	+	21.1091i	−0.630730	+	0.727901i
$842$	23.8941	+	6.32561i	0.823444	+	0.217995i
$843$	17.9292	+	11.1411i	0.617514	+	0.383718i
$844$	−19.5027	+	18.8206i	−0.671312	+	0.647831i
$845$	−2.94551	+	1.34517i	−0.101329	+	0.0462752i
$846$	7.44498	+	14.1072i	0.255964	+	0.485015i
$847$	9.61210	+	4.38970i	0.330276	+	0.150832i
$848$	−34.4946	−	1.22841i	−1.18455	−	0.0421837i
$849$	4.45175	−	34.6984i	0.152784	−	1.19084i
$850$	−0.0351215	−	1.31015i	−0.00120466	−	0.0449379i
$851$	18.4588	+	0.103552i	0.632761	+	0.00354971i
$852$	28.8268	+	21.6967i	0.987590	+	0.743315i
$853$	0.612434	−	0.393587i	0.0209693	−	0.0134762i	−0.530114	−	0.847926i	$-0.677851\pi$
$853$	0.612434	−	0.393587i	0.0209693	−	0.0134762i	0.551083	+	0.834450i	$0.314215\pi$
$854$	8.00435	+	0.932682i	0.273903	+	0.0319157i
$855$	44.4757	+	11.6033i	1.52104	+	0.396825i
$856$	−10.9558	+	4.19904i	−0.374462	+	0.143520i
$857$	8.65613	−	3.95312i	0.295688	−	0.135036i	−0.262047	−	0.965055i	$-0.584398\pi$
$857$	8.65613	−	3.95312i	0.295688	−	0.135036i	0.557735	+	0.830019i	$0.311670\pi$
$858$	−0.166500	−	3.96205i	−0.00568421	−	0.135262i
$859$	−39.7626	+	5.71700i	−1.35668	+	0.195062i	−0.781982	−	0.623301i	$-0.785791\pi$
$859$	−39.7626	+	5.71700i	−1.35668	+	0.195062i	−0.574702	+	0.818363i	$0.694882\pi$
$860$	22.4718	+	5.30901i	0.766283	+	0.181036i
$861$	−18.2064	+	2.90075i	−0.620472	+	0.0988573i
$862$	−37.5303	−	22.7217i	−1.27829	−	0.773906i
$863$	−40.8538	−	26.2552i	−1.39068	−	0.893736i	−0.391036	−	0.920376i	$-0.627883\pi$
$863$	−40.8538	−	26.2552i	−1.39068	−	0.893736i	−0.999645	+	0.0266392i	$0.991519\pi$
$864$	−13.1861	−	26.2703i	−0.448600	−	0.893733i
$865$	7.80480	+	2.29170i	0.265371	+	0.0779200i
$866$	5.03005	+	29.3733i	0.170928	+	0.998146i
$867$	0.288042	+	18.9509i	0.00978243	+	0.643608i
$868$	6.55162	+	12.5233i	0.222377	+	0.425067i
$869$	−0.834592	−	2.84236i	−0.0283116	−	0.0964205i
$870$	−4.85328	+	2.46773i	−0.164542	+	0.0836639i
$871$	16.5706	+	2.38249i	0.561472	+	0.0807275i
$872$	−30.5476	+	23.2997i	−1.03447	+	0.789028i
$873$	−3.29531	−	18.8358i	−0.111529	−	0.637496i
$874$	43.5251	−	21.0030i	1.47226	−	0.710438i
$875$	11.2912			0.381712
$876$	14.6684	+	1.08745i	0.495600	+	0.0367415i
$877$	2.56504	−	17.8403i	0.0866154	−	0.602423i	−0.899570	−	0.436777i	$-0.856120\pi$
$877$	2.56504	−	17.8403i	0.0866154	−	0.602423i	0.986185	−	0.165646i	$-0.0529710\pi$
$878$	15.4741	+	6.57151i	0.522225	+	0.221778i
$879$	7.65451	−	17.4584i	0.258180	−	0.588859i
$880$	3.14396	−	1.86583i	0.105983	−	0.0628973i
$881$	17.6466	−	15.2908i	0.594528	−	0.515161i	−0.304812	−	0.952413i	$-0.598594\pi$
$881$	17.6466	−	15.2908i	0.594528	−	0.515161i	0.899339	+	0.437252i	$0.144048\pi$
$882$	−24.1590	+	8.62201i	−0.813475	+	0.290318i
$883$	−4.09539	+	13.9476i	−0.137821	+	0.469374i	−0.999259	−	0.0384880i	$-0.987746\pi$
$883$	−4.09539	+	13.9476i	−0.137821	+	0.469374i	0.861438	+	0.507862i	$0.169564\pi$
$884$	14.8059	+	11.5004i	0.497977	+	0.386799i
$885$	−15.8754	+	4.92472i	−0.533646	+	0.165543i
$886$	3.99981	+	2.42158i	0.134376	+	0.0813545i
$887$	29.8958	−	34.5016i	1.00380	−	1.15845i	0.0164587	−	0.999865i	$-0.494761\pi$
$887$	29.8958	−	34.5016i	1.00380	−	1.15845i	0.987345	−	0.158587i	$-0.0506938\pi$
$888$	11.6620	+	14.8173i	0.391352	+	0.497235i
$889$	1.78036	+	12.3827i	0.0597114	+	0.415302i
$890$	29.2109	+	31.9400i	0.979151	+	1.07063i
$891$	2.67625	+	2.73363i	0.0896576	+	0.0915801i
$892$	0.541438	+	1.53452i	0.0181287	+	0.0513796i
$893$	−24.3691	−	11.1290i	−0.815480	−	0.372417i
$894$	−13.4475	−	14.2624i	−0.449751	−	0.477007i
$895$	−6.25225	−	9.72869i	−0.208990	−	0.325194i
$896$	2.06088	+	10.8560i	0.0688491	+	0.362673i
$897$	−9.20387	−	30.2688i	−0.307308	−	1.01065i
$898$	−1.10939	−	41.3841i	−0.0370209	−	1.38100i
$899$	−6.29222	+	4.04376i	−0.209857	+	0.134867i
$900$	−2.25132	+	0.189552i	−0.0750440	+	0.00631840i
$901$	−8.82249	+	19.3186i	−0.293920	+	0.643595i
$902$	2.01348	+	6.23415i	0.0670416	+	0.207574i
$903$	2.42625	−	8.75302i	0.0807405	−	0.291282i
$904$	30.6386	−	31.1952i	1.01902	−	1.03754i
$905$	49.9062	−	7.17543i	1.65894	−	0.238519i
$906$	−39.4734	+	27.7770i	−1.31141	+	0.922828i
$907$	−40.8911	−	35.4323i	−1.35777	−	1.17651i	−0.966630	−	0.256178i	$-0.917537\pi$
$907$	−40.8911	−	35.4323i	−1.35777	−	1.17651i	−0.391136	−	0.920333i	$-0.627918\pi$
$908$	−33.6708	−	19.1714i	−1.11741	−	0.636224i
$909$	−13.8839	−	5.83738i	−0.460501	−	0.193614i
$910$	−7.17578	+	8.74417i	−0.237875	+	0.289866i
$911$	−43.4245	−	12.7506i	−1.43872	−	0.422446i	−0.532923	−	0.846164i	$-0.678907\pi$
$911$	−43.4245	−	12.7506i	−1.43872	−	0.422446i	−0.905794	+	0.423718i	$0.860725\pi$
$912$	44.4782	+	21.4195i	1.47282	+	0.709270i
$913$	2.01339	+	2.32357i	0.0666334	+	0.0768991i
$914$	−24.3599	−	49.7665i	−0.805754	−	1.64613i
$915$	8.72494	−	19.8999i	0.288438	−	0.657869i
$916$	−13.8352	+	35.1689i	−0.457127	+	1.16201i
$917$	−6.19182	−	0.890250i	−0.204472	−	0.0293986i
$918$	−18.0385	+	1.30819i	−0.595360	+	0.0431768i
$919$		−	49.8869i		−	1.64562i	−0.568318	−	0.822809i	$-0.692406\pi$
$919$		−	49.8869i		−	1.64562i	0.568318	−	0.822809i	$-0.307594\pi$
$920$	20.5541	−	20.6941i	0.677649	−	0.682263i
$921$	12.2039	−	14.5244i	0.402134	−	0.478594i
$922$	25.4772	+	37.4002i	0.839045	+	1.23171i
$923$	−5.64538	+	39.2645i	−0.185820	+	1.29241i
$924$	−0.685937	−	1.26400i	−0.0225657	−	0.0415826i
$925$	1.39062	−	0.408323i	0.0457233	−	0.0134256i
$926$	−28.0336	+	13.7220i	−0.921241	+	0.450933i
$927$	9.21365	+	7.50578i	0.302616	+	0.246522i
$928$	−5.62509	+	1.59807i	−0.184653	+	0.0524593i
$929$	12.6006	−	42.9138i	0.413414	−	1.40796i	−0.445245	−	0.895409i	$-0.646883\pi$
$929$	12.6006	−	42.9138i	0.413414	−	1.40796i	0.858658	−	0.512549i	$-0.171299\pi$
$930$	37.4600	−	7.00245i	1.22836	−	0.229619i
$931$	23.2917	−	36.2425i	0.763353	−	1.18780i
$932$	1.56638	−	2.75105i	0.0513085	−	0.0901136i
$933$	54.1989	−	8.63529i	1.77439	−	0.282707i
$934$	−7.00212	−	1.85371i	−0.229116	−	0.0606552i
$935$	−0.320133	−	2.22658i	−0.0104695	−	0.0728168i
$936$	18.3332	−	26.6144i	0.599238	−	0.869918i
$937$	16.4128	+	35.9391i	0.536184	+	1.17408i	0.962941	+	0.269713i	$0.0869289\pi$
$937$	16.4128	+	35.9391i	0.536184	+	1.17408i	−0.426756	+	0.904367i	$0.640344\pi$
$938$	5.77735	−	1.86595i	0.188637	−	0.0609253i
$939$	−27.2692	+	12.9578i	−0.889897	+	0.422863i
$940$	−16.1042	−	1.44029i	−0.525262	−	0.0469770i
$941$	−7.62910	−	11.8711i	−0.248702	−	0.386987i	0.694348	−	0.719639i	$-0.255693\pi$
$941$	−7.62910	−	11.8711i	−0.248702	−	0.386987i	−0.943050	+	0.332652i	$0.892057\pi$
$942$	46.9179	+	37.3238i	1.52867	+	1.21608i
$943$	28.0100	+	44.1267i	0.912130	+	1.43696i
$944$	−17.7497	+	1.91015i	−0.577705	+	0.0621701i
$945$	−0.497371	−	10.9010i	−0.0161795	−	0.354609i
$946$	−3.20597	−	0.373566i	−0.104235	−	0.0121457i
$947$	−4.91974	+	10.7727i	−0.159870	+	0.350066i	−0.972568	−	0.232619i	$-0.925271\pi$
$947$	−4.91974	+	10.7727i	−0.159870	+	0.350066i	0.812698	+	0.582685i	$0.197998\pi$
$948$	8.49556	−	22.5979i	0.275923	−	0.733944i
$949$	6.71797	+	14.7103i	0.218075	+	0.477517i
$950$	2.80005	−	2.56080i	0.0908457	−	0.0830835i
$951$	−44.2332	−	27.4861i	−1.43436	−	0.891299i
$952$	6.65630	+	1.38535i	0.215732	+	0.0448995i
$953$	−13.8634	−	12.0127i	−0.449081	−	0.389131i	0.400749	−	0.916188i	$-0.368750\pi$
$953$	−13.8634	−	12.0127i	−0.449081	−	0.389131i	−0.849830	+	0.527057i	$0.823295\pi$
$954$	34.1168	+	13.2798i	1.10457	+	0.429950i
$955$	−14.2617	+	22.1916i	−0.461497	+	0.718103i
$956$	−12.9155	+	16.6277i	−0.417716	+	0.537780i
$957$	0.633925	−	0.421148i	0.0204919	−	0.0136138i
$958$	1.91559	+	11.1862i	0.0618899	+	0.361410i
$959$	−11.0168	−	12.7141i	−0.355751	−	0.410559i
$960$	29.6156	+	3.25882i	0.955839	+	0.105178i
$961$	20.4872	−	6.01560i	0.660879	−	0.194052i
$962$	−8.10382	+	19.0823i	−0.261278	+	0.615237i
$963$	12.4389	−	0.378214i	0.400838	−	0.0121878i
$964$	−22.7622	+	16.4157i	−0.733121	+	0.528713i
$965$			42.5753i			1.37055i
$966$	−7.82397	−	8.39193i	−0.251732	−	0.270006i
$967$			21.3513i			0.686611i	0.939224	+	0.343305i	$0.111547\pi$
$967$			21.3513i			0.686611i	−0.939224	+	0.343305i	$0.888453\pi$
$968$	24.3318	−	18.5587i	0.782054	−	0.596499i
$969$	22.6512	−	20.2382i	0.727660	−	0.650144i
$970$	17.8403	+	7.57639i	0.572818	+	0.243263i
$971$	34.4380	−	10.1119i	1.10517	−	0.324506i	0.322264	−	0.946650i	$-0.395556\pi$
$971$	34.4380	−	10.1119i	1.10517	−	0.324506i	0.782903	+	0.622144i	$0.213738\pi$
$972$	4.02900	+	30.9155i	0.129230	+	0.991615i
$973$	8.24863	+	9.51943i	0.264439	+	0.305179i
$974$	−31.7875	+	5.44346i	−1.01854	+	0.174420i
$975$	−1.37456	−	2.06903i	−0.0440212	−	0.0662620i
$976$	13.3077	−	19.1709i	0.425969	−	0.613647i
$977$	−15.2167	+	23.6777i	−0.486826	+	0.757516i	−0.994579	−	0.103987i	$-0.966840\pi$
$977$	−15.2167	+	23.6777i	−0.486826	+	0.757516i	0.507753	+	0.861503i	$0.330476\pi$
$978$	−54.1638	+	18.4072i	−1.73197	+	0.588598i
$979$	−4.57250	−	3.96209i	−0.146138	−	0.126629i
$980$	5.97818	−	25.3043i	0.190966	−	0.808316i
$981$	38.7321	−	12.6635i	1.23662	−	0.404315i
$982$	−19.7481	−	21.5931i	−0.630189	−	0.689065i
$983$	19.8774	+	43.5255i	0.633991	+	1.38825i	0.904892	+	0.425640i	$0.139951\pi$
$983$	19.8774	+	43.5255i	0.633991	+	1.38825i	−0.270901	+	0.962607i	$0.587322\pi$
$984$	−17.4419	+	50.4606i	−0.556028	+	1.60862i
$985$	1.86016	−	4.07317i	0.0592695	−	0.129782i
$986$	−0.416435	+	3.57387i	−0.0132620	+	0.113815i
$987$	−0.809368	+	6.30848i	−0.0257625	+	0.200801i
$988$	2.90797	+	54.1995i	0.0925147	+	1.72432i
$989$	−25.5084	+	3.52161i	−0.811120	+	0.111981i
$990$	−3.80040	+	0.770367i	−0.120785	+	0.0244839i
$991$	−1.99223	−	3.09996i	−0.0632851	−	0.0984736i	0.808169	−	0.588951i	$-0.200459\pi$
$991$	−1.99223	−	3.09996i	−0.0632851	−	0.0984736i	−0.871454	+	0.490477i	$0.836822\pi$
$992$	40.9285	+	0.360008i	1.29948	+	0.0114303i
$993$	9.34989	+	19.6764i	0.296710	+	0.624412i
$994$	4.42142	+	13.6896i	0.140239	+	0.434208i
$995$	9.60417	+	21.0302i	0.304473	+	0.666702i
$996$	1.72250	+	24.9969i	0.0545795	+	0.792058i
$997$	5.66516	+	39.4021i	0.179417	+	1.24788i	0.858115	+	0.513458i	$0.171636\pi$
$997$	5.66516	+	39.4021i	0.179417	+	1.24788i	−0.678697	+	0.734418i	$0.737455\pi$
$998$	8.68422	−	32.8034i	0.274894	−	1.03837i
$999$	−6.50343	−	18.9131i	−0.205760	−	0.598383i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.o.a.35.8	yes	440
3.2	odd	2	inner	276.2.o.a.35.37	yes	440
4.3	odd	2	inner	276.2.o.a.35.38	yes	440
12.11	even	2	inner	276.2.o.a.35.7	✓	440
23.2	even	11	inner	276.2.o.a.71.7	yes	440
69.2	odd	22	inner	276.2.o.a.71.38	yes	440
92.71	odd	22	inner	276.2.o.a.71.37	yes	440
276.71	even	22	inner	276.2.o.a.71.8	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.o.a.35.7	✓	440	12.11	even	2	inner
276.2.o.a.35.8	yes	440	1.1	even	1	trivial
276.2.o.a.35.37	yes	440	3.2	odd	2	inner
276.2.o.a.35.38	yes	440	4.3	odd	2	inner
276.2.o.a.71.7	yes	440	23.2	even	11	inner
276.2.o.a.71.8	yes	440	276.71	even	22	inner
276.2.o.a.71.37	yes	440	92.71	odd	22	inner
276.2.o.a.71.38	yes	440	69.2	odd	22	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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.16880 + 0.796188i) q^{2} +(1.29161 - 1.15401i) q^{3} +(0.732168 - 1.86116i) q^{4} +(-0.605787 - 2.06312i) q^{5} +(-0.590813 + 2.37717i) q^{6} +(-0.738126 + 0.639590i) q^{7} +(0.626082 + 2.75826i) q^{8} +(0.336500 - 2.98107i) q^{9} +O(q^{10})\)	\(q+(-1.16880 + 0.796188i) q^{2} +(1.29161 - 1.15401i) q^{3} +(0.732168 - 1.86116i) q^{4} +(-0.605787 - 2.06312i) q^{5} +(-0.590813 + 2.37717i) q^{6} +(-0.738126 + 0.639590i) q^{7} +(0.626082 + 2.75826i) q^{8} +(0.336500 - 2.98107i) q^{9} +(2.35068 + 1.92905i) q^{10} +(-0.357587 - 0.229807i) q^{11} +(-1.20214 - 3.24883i) q^{12} +(2.49415 - 2.87840i) q^{13} +(0.353485 - 1.33524i) q^{14} +(-3.16331 - 1.96566i) q^{15} +(-2.92786 - 2.72537i) q^{16} +(-2.23877 + 1.02241i) q^{17} +(1.98019 + 3.75218i) q^{18} +(-6.48160 - 2.96005i) q^{19} +(-4.28335 - 0.383083i) q^{20} +(-0.215273 + 1.67791i) q^{21} +(0.600915 - 0.0161089i) q^{22} +(4.60907 - 1.32531i) q^{23} +(3.99173 + 2.84009i) q^{24} +(0.316772 - 0.203577i) q^{25} +(-0.623401 + 5.35007i) q^{26} +(-3.00557 - 4.23870i) q^{27} +(0.649949 + 1.84206i) q^{28} +(-0.940319 + 0.429429i) q^{29} +(5.26230 - 0.221141i) q^{30} +(7.16183 - 1.02972i) q^{31} +(5.59198 + 0.854273i) q^{32} +(-0.727062 + 0.115840i) q^{33} +(1.80263 - 2.97747i) q^{34} +(1.76670 + 1.13539i) q^{35} +(-5.30188 - 2.80892i) q^{36} +(3.69308 + 1.08439i) q^{37} +(9.93243 - 1.70088i) q^{38} +(-0.100256 - 6.59604i) q^{39} +(5.31136 - 2.96260i) q^{40} +(3.07037 + 10.4567i) q^{41} +(-1.08432 - 2.13253i) q^{42} +(-5.31467 - 0.764134i) q^{43} +(-0.689522 + 0.497270i) q^{44} +(-6.35416 + 1.11165i) q^{45} +(-4.33187 + 5.21870i) q^{46} +3.75973 q^{47} +(-6.92676 - 0.141314i) q^{48} +(-0.860449 + 5.98455i) q^{49} +(-0.208156 + 0.490150i) q^{50} +(-1.71173 + 3.90412i) q^{51} +(-3.53104 - 6.74949i) q^{52} +(6.52145 - 5.65086i) q^{53} +(6.88770 + 2.56117i) q^{54} +(-0.257498 + 0.876959i) q^{55} +(-2.22628 - 1.63551i) q^{56} +(-11.7876 + 3.65664i) q^{57} +(0.757135 - 1.25059i) q^{58} +(2.92268 - 3.37295i) q^{59} +(-5.97449 + 4.44825i) q^{60} +(0.830304 + 5.77489i) q^{61} +(-7.55087 + 6.90570i) q^{62} +(1.65828 + 2.41563i) q^{63} +(-7.21604 + 3.45380i) q^{64} +(-7.44941 - 3.40203i) q^{65} +(0.757557 - 0.714271i) q^{66} +(2.37638 + 3.69772i) q^{67} +(0.263720 + 4.91529i) q^{68} +(4.42369 - 7.03072i) q^{69} +(-2.96889 + 0.0795877i) q^{70} +(-8.76187 + 5.63091i) q^{71} +(8.43325 - 0.938236i) q^{72} +(-1.76386 + 3.86232i) q^{73} +(-5.17984 + 1.67296i) q^{74} +(0.174214 - 0.628501i) q^{75} +(-10.2548 + 9.89607i) q^{76} +(0.410926 - 0.0590823i) q^{77} +(5.36887 + 7.62961i) q^{78} +(5.26697 + 4.56386i) q^{79} +(-3.84911 + 7.69153i) q^{80} +(-8.77354 - 2.00626i) q^{81} +(-11.9142 - 9.77719i) q^{82} +(-6.94011 - 2.03780i) q^{83} +(2.96524 + 1.62917i) q^{84} +(3.46557 + 3.99949i) q^{85} +(6.82015 - 3.33836i) q^{86} +(-0.718956 + 1.63980i) q^{87} +(0.409990 - 1.13020i) q^{88} +(14.0889 + 2.02568i) q^{89} +(6.54163 - 6.35840i) q^{90} +3.71985i q^{91} +(0.908004 - 9.54859i) q^{92} +(8.06197 - 9.59485i) q^{93} +(-4.39436 + 2.99345i) q^{94} +(-2.18047 + 15.1655i) q^{95} +(8.20848 - 5.34984i) q^{96} +(6.11578 - 1.79575i) q^{97} +(-3.75914 - 7.67980i) q^{98} +(-0.805398 + 0.988660i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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