LMFDB - Embedded newform 87.2.k.a.8.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [87,2,Mod(2,87)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("87.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(87, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([14, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 87 = 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	87.k (of order $28$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$0.694698497585$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			8.4
Character	$\chi$	$=$	87.8
Dual form			87.2.k.a.11.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0726507 + 0.207624i) q^{2} +(1.66092 - 0.491261i) q^{3} +(1.52583 + 1.21681i) q^{4} +(-2.41194 + 1.16153i) q^{5} +(-0.0186698 + 0.380537i) q^{6} +(-1.79859 - 2.25536i) q^{7} +(-0.735996 + 0.462457i) q^{8} +(2.51733 - 1.63189i) q^{9} +(-0.0659319 - 0.585161i) q^{10} +(-1.11395 - 0.699943i) q^{11} +(3.13206 + 1.27145i) q^{12} +(-0.986708 + 0.225210i) q^{13} +(0.598935 - 0.209576i) q^{14} +(-3.43543 + 3.11410i) q^{15} +(0.826004 + 3.61896i) q^{16} +(4.86592 - 4.86592i) q^{17} +(0.155934 + 0.641215i) q^{18} +(-6.63742 + 0.747857i) q^{19} +(-5.09358 - 1.16258i) q^{20} +(-4.09529 - 2.86240i) q^{21} +(0.226254 - 0.180432i) q^{22} +(-0.885333 + 1.83841i) q^{23} +(-0.995245 + 1.12967i) q^{24} +(1.35085 - 1.69391i) q^{25} +(0.0249261 - 0.221226i) q^{26} +(3.37940 - 3.94711i) q^{27} -5.62985i q^{28} +(-4.38774 + 3.12214i) q^{29} +(-0.396974 - 0.939518i) q^{30} +(4.02280 + 1.40764i) q^{31} +(-2.53891 - 0.286067i) q^{32} +(-2.19404 - 0.615310i) q^{33} +(0.656768 + 1.36379i) q^{34} +(6.95775 + 3.35068i) q^{35} +(5.82672 + 0.573117i) q^{36} +(3.07771 + 4.89815i) q^{37} +(0.326940 - 1.43242i) q^{38} +(-1.52821 + 0.858786i) q^{39} +(1.23802 - 1.97030i) q^{40} +(6.94014 + 6.94014i) q^{41} +(0.891828 - 0.642323i) q^{42} +(-0.563474 - 1.61032i) q^{43} +(-0.848008 - 2.42347i) q^{44} +(-4.17615 + 6.85997i) q^{45} +(-0.317378 - 0.317378i) q^{46} +(2.27961 - 3.62798i) q^{47} +(3.14978 + 5.60503i) q^{48} +(-0.294077 + 1.28843i) q^{49} +(0.253556 + 0.403532i) q^{50} +(5.69148 - 10.4723i) q^{51} +(-1.77959 - 0.857005i) q^{52} +(1.09138 + 2.26627i) q^{53} +(0.573998 + 0.988404i) q^{54} +(3.49979 + 0.394332i) q^{55} +(2.36676 + 0.828165i) q^{56} +(-10.6568 + 4.50283i) q^{57} +(-0.329458 - 1.13782i) q^{58} -9.04509i q^{59} +(-9.03116 + 0.571325i) q^{60} +(0.733676 - 6.51155i) q^{61} +(-0.584519 + 0.732963i) q^{62} +(-8.20814 - 2.74237i) q^{63} +(-2.97733 + 6.18248i) q^{64} +(2.11829 - 1.68928i) q^{65} +(0.287152 - 0.410833i) q^{66} +(3.47820 + 0.793877i) q^{67} +(13.3455 - 1.50368i) q^{68} +(-0.567330 + 3.48839i) q^{69} +(-1.20117 + 1.20117i) q^{70} +(1.39053 + 6.09230i) q^{71} +(-1.09806 + 2.36522i) q^{72} +(5.90904 - 2.06766i) q^{73} +(-1.24057 + 0.283152i) q^{74} +(1.41150 - 3.47707i) q^{75} +(-11.0376 - 6.93538i) q^{76} +(0.424921 + 3.77127i) q^{77} +(-0.0672790 - 0.379684i) q^{78} +(-3.31969 + 2.08590i) q^{79} +(-6.19579 - 7.76928i) q^{80} +(3.67386 - 8.21601i) q^{81} +(-1.94514 + 0.936731i) q^{82} +(-11.0348 - 8.79994i) q^{83} +(-2.76572 - 9.35074i) q^{84} +(-6.08439 + 17.3882i) q^{85} +0.375276 q^{86} +(-5.75391 + 7.34115i) q^{87} +1.14356 q^{88} +(-4.97161 + 14.2080i) q^{89} +(-1.12089 - 1.36545i) q^{90} +(2.28261 + 1.82032i) q^{91} +(-3.58787 + 1.72783i) q^{92} +(7.37308 + 0.361736i) q^{93} +(0.587639 + 0.736877i) q^{94} +(15.1404 - 9.51333i) q^{95} +(-4.35747 + 0.772134i) q^{96} +(0.395650 + 3.51149i) q^{97} +(-0.246145 - 0.154663i) q^{98} +(-3.94641 + 0.0558652i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) $ 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/87\mathbb{Z}\right)^\times$.

$n$	$31$	$59$
$\chi(n)$	$e\left(\frac{3}{28}\right)$	$-1$

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 $

$2$	−0.0726507	+	0.207624i	−0.0513718	+	0.146812i	−0.966710	−	0.255873i	$-0.917637\pi$
$2$	−0.0726507	+	0.207624i	−0.0513718	+	0.146812i	0.915339	+	0.402685i	$0.131923\pi$
$3$	1.66092	−	0.491261i	0.958934	−	0.283629i
$3$	1.66092	−	0.491261i	0.958934	−	0.283629i
$4$	1.52583	+	1.21681i	0.762917	+	0.608406i
$5$	−2.41194	+	1.16153i	−1.07865	+	0.519451i	−0.886885	−	0.461990i	$-0.847136\pi$
$5$	−2.41194	+	1.16153i	−1.07865	+	0.519451i	−0.191766	+	0.981441i	$0.561421\pi$
$6$	−0.0186698	+	0.380537i	−0.00762192	+	0.155354i
$7$	−1.79859	−	2.25536i	−0.679803	−	0.852446i	0.315533	−	0.948915i	$-0.397817\pi$
$7$	−1.79859	−	2.25536i	−0.679803	−	0.852446i	−0.995336	+	0.0964688i	$0.969245\pi$
$8$	−0.735996	+	0.462457i	−0.260214	+	0.163503i
$9$	2.51733	−	1.63189i	0.839109	−	0.543964i
$10$	−0.0659319	−	0.585161i	−0.0208495	−	0.185044i
$11$	−1.11395	−	0.699943i	−0.335870	−	0.211041i	0.353528	−	0.935424i	$-0.384982\pi$
$11$	−1.11395	−	0.699943i	−0.335870	−	0.211041i	−0.689398	+	0.724383i	$0.742125\pi$
$12$	3.13206	+	1.27145i	0.904149	+	0.367035i
$13$	−0.986708	+	0.225210i	−0.273663	+	0.0624619i	−0.357150	−	0.934047i	$-0.616252\pi$
$13$	−0.986708	+	0.225210i	−0.273663	+	0.0624619i	0.0834867	+	0.996509i	$0.473394\pi$
$14$	0.598935	−	0.209576i	0.160072	−	0.0560117i
$15$	−3.43543	+	3.11410i	−0.887024	+	0.804057i
$16$	0.826004	+	3.61896i	0.206501	+	0.904740i
$17$	4.86592	−	4.86592i	1.18016	−	1.18016i	0.200456	−	0.979703i	$-0.435758\pi$
$17$	4.86592	−	4.86592i	1.18016	−	1.18016i	0.979703	−	0.200456i	$-0.0642423\pi$
$18$	0.155934	+	0.641215i	0.0367540	+	0.151136i
$19$	−6.63742	+	0.747857i	−1.52273	+	0.171570i	−0.833315	−	0.552799i	$-0.813560\pi$
$19$	−6.63742	+	0.747857i	−1.52273	+	0.171570i	−0.689413	+	0.724369i	$0.742131\pi$
$20$	−5.09358	−	1.16258i	−1.13896	−	0.259960i
$21$	−4.09529	−	2.86240i	−0.893665	−	0.624627i
$22$	0.226254	−	0.180432i	0.0482376	−	0.0384682i
$23$	−0.885333	+	1.83841i	−0.184605	+	0.383336i	−0.972648	−	0.232284i	$-0.925380\pi$
$23$	−0.885333	+	1.83841i	−0.184605	+	0.383336i	0.788043	+	0.615620i	$0.211094\pi$
$24$	−0.995245	+	1.12967i	−0.203154	+	0.230593i
$25$	1.35085	−	1.69391i	0.270170	−	0.338782i
$26$	0.0249261	−	0.221226i	0.00488842	−	0.0433859i
$27$	3.37940	−	3.94711i	0.650366	−	0.759621i
$28$		−	5.62985i		−	1.06394i
$29$	−4.38774	+	3.12214i	−0.814783	+	0.579766i
$29$	−4.38774	+	3.12214i	−0.814783	+	0.579766i
$30$	−0.396974	−	0.939518i	−0.0724773	−	0.171532i
$31$	4.02280	+	1.40764i	0.722516	+	0.252819i	0.666389	−	0.745604i	$-0.267839\pi$
$31$	4.02280	+	1.40764i	0.722516	+	0.252819i	0.0561273	+	0.998424i	$0.482125\pi$
$32$	−2.53891	−	0.286067i	−0.448821	−	0.0505700i
$33$	−2.19404	−	0.615310i	−0.381934	−	0.107112i
$34$	0.656768	+	1.36379i	0.112635	+	0.233889i
$35$	6.95775	+	3.35068i	1.17607	+	0.566367i
$36$	5.82672	+	0.573117i	0.971121	+	0.0955195i
$37$	3.07771	+	4.89815i	0.505972	+	0.805250i	0.997859	−	0.0654093i	$-0.0208353\pi$
$37$	3.07771	+	4.89815i	0.505972	+	0.805250i	−0.491886	+	0.870659i	$0.663692\pi$
$38$	0.326940	−	1.43242i	0.0530367	−	0.232369i
$39$	−1.52821	+	0.858786i	−0.244709	+	0.137516i
$40$	1.23802	−	1.97030i	0.195748	−	0.311531i
$41$	6.94014	+	6.94014i	1.08387	+	1.08387i	0.996145	+	0.0877221i	$0.0279587\pi$
$41$	6.94014	+	6.94014i	1.08387	+	1.08387i	0.0877221	+	0.996145i	$0.472041\pi$
$42$	0.891828	−	0.642323i	0.137612	−	0.0991126i
$43$	−0.563474	−	1.61032i	−0.0859289	−	0.245571i	0.892899	−	0.450258i	$-0.148668\pi$
$43$	−0.563474	−	1.61032i	−0.0859289	−	0.245571i	−0.978827	+	0.204687i	$0.934382\pi$
$44$	−0.848008	−	2.42347i	−0.127842	−	0.365352i
$45$	−4.17615	+	6.85997i	−0.622543	+	1.02262i
$46$	−0.317378	−	0.317378i	−0.0467949	−	0.0467949i
$47$	2.27961	−	3.62798i	0.332515	−	0.529195i	−0.638062	−	0.769985i	$-0.720264\pi$
$47$	2.27961	−	3.62798i	0.332515	−	0.529195i	0.970577	+	0.240790i	$0.0774065\pi$
$48$	3.14978	+	5.60503i	0.454631	+	0.809016i
$49$	−0.294077	+	1.28843i	−0.0420109	+	0.184062i
$50$	0.253556	+	0.403532i	0.0358582	+	0.0570680i
$51$	5.69148	−	10.4723i	0.796966	−	1.46642i
$52$	−1.77959	−	0.857005i	−0.246785	−	0.118845i
$53$	1.09138	+	2.26627i	0.149912	+	0.311296i	0.962379	−	0.271712i	$-0.0875899\pi$
$53$	1.09138	+	2.26627i	0.149912	+	0.311296i	−0.812466	+	0.583008i	$0.801876\pi$
$54$	0.573998	+	0.988404i	0.0781112	+	0.134505i
$55$	3.49979	+	0.394332i	0.471912	+	0.0531717i
$56$	2.36676	+	0.828165i	0.316272	+	0.110668i
$57$	−10.6568	+	4.50283i	−1.41153	+	0.596415i
$58$	−0.329458	−	1.13782i	−0.0432599	−	0.149404i
$59$		−	9.04509i		−	1.17757i	−0.808290	−	0.588785i	$-0.799606\pi$
$59$		−	9.04509i		−	1.17757i	0.808290	−	0.588785i	$-0.200394\pi$
$60$	−9.03116	+	0.571325i	−1.16592	+	0.0737578i
$61$	0.733676	−	6.51155i	0.0939376	−	0.833719i	−0.855080	−	0.518496i	$-0.826492\pi$
$61$	0.733676	−	6.51155i	0.0939376	−	0.833719i	0.949018	−	0.315223i	$-0.102079\pi$
$62$	−0.584519	+	0.732963i	−0.0742339	+	0.0930864i
$63$	−8.20814	−	2.74237i	−1.03413	−	0.345507i
$64$	−2.97733	+	6.18248i	−0.372166	+	0.772811i
$65$	2.11829	−	1.68928i	0.262742	−	0.209529i
$66$	0.287152	−	0.410833i	0.0353459	−	0.0505701i
$67$	3.47820	+	0.793877i	0.424930	+	0.0969875i	0.429637	−	0.903001i	$-0.358641\pi$
$67$	3.47820	+	0.793877i	0.424930	+	0.0969875i	−0.00470763	+	0.999989i	$0.501498\pi$
$68$	13.3455	−	1.50368i	1.61838	−	0.182347i
$69$	−0.567330	+	3.48839i	−0.0682985	+	0.419953i
$70$	−1.20117	+	1.20117i	−0.143567	+	0.143567i
$71$	1.39053	+	6.09230i	0.165025	+	0.723023i	0.987937	+	0.154854i	$0.0494908\pi$
$71$	1.39053	+	6.09230i	0.165025	+	0.723023i	−0.822912	+	0.568169i	$0.807652\pi$
$72$	−1.09806	+	2.36522i	−0.129408	+	0.278744i
$73$	5.90904	−	2.06766i	0.691601	−	0.242002i	0.0384847	−	0.999259i	$-0.487747\pi$
$73$	5.90904	−	2.06766i	0.691601	−	0.242002i	0.653116	+	0.757257i	$0.273461\pi$
$74$	−1.24057	+	0.283152i	−0.144213	+	0.0329157i
$75$	1.41150	−	3.47707i	0.162986	−	0.401498i
$76$	−11.0376	−	6.93538i	−1.26610	−	0.795543i
$77$	0.424921	+	3.77127i	0.0484242	+	0.429777i
$78$	−0.0672790	−	0.379684i	−0.00761785	−	0.0429907i
$79$	−3.31969	+	2.08590i	−0.373495	+	0.234682i	−0.705678	−	0.708533i	$-0.749358\pi$
$79$	−3.31969	+	2.08590i	−0.373495	+	0.234682i	0.332183	+	0.943215i	$0.392215\pi$
$80$	−6.19579	−	7.76928i	−0.692711	−	0.868632i
$81$	3.67386	−	8.21601i	0.408207	−	0.912889i
$82$	−1.94514	+	0.936731i	−0.214805	+	0.103445i
$83$	−11.0348	−	8.79994i	−1.21122	−	0.965919i	−0.211290	−	0.977423i	$-0.567767\pi$
$83$	−11.0348	−	8.79994i	−1.21122	−	0.965919i	−0.999934	+	0.0115042i	$0.996338\pi$
$84$	−2.76572	−	9.35074i	−0.301765	−	1.02025i
$85$	−6.08439	+	17.3882i	−0.659945	+	1.88601i
$86$	0.375276			0.0404671
$87$	−5.75391	+	7.34115i	−0.616884	+	0.787054i
$88$	1.14356			0.121904
$89$	−4.97161	+	14.2080i	−0.526990	+	1.50605i	0.305600	+	0.952160i	$0.401143\pi$
$89$	−4.97161	+	14.2080i	−0.526990	+	1.50605i	−0.832590	+	0.553890i	$0.813143\pi$
$90$	−1.12089	−	1.36545i	−0.118152	−	0.143931i
$91$	2.28261	+	1.82032i	0.239283	+	0.190821i
$92$	−3.58787	+	1.72783i	−0.374062	+	0.180139i
$93$	7.37308	+	0.361736i	0.764553	+	0.0375102i
$94$	0.587639	+	0.736877i	0.0606104	+	0.0760030i
$95$	15.1404	−	9.51333i	1.55337	−	0.976047i
$96$	−4.35747	+	0.772134i	−0.444733	+	0.0788056i
$97$	0.395650	+	3.51149i	0.0401722	+	0.356538i	0.997677	+	0.0681209i	$0.0217004\pi$
$97$	0.395650	+	3.51149i	0.0401722	+	0.356538i	−0.957505	+	0.288417i	$0.906871\pi$
$98$	−0.246145	−	0.154663i	−0.0248644	−	0.0156233i
$99$	−3.94641	+	0.0558652i	−0.396630	+	0.00561467i
$100$	4.12234	−	0.940897i	0.412234	−	0.0940897i
$101$	−9.47421	+	3.31517i	−0.942719	+	0.329872i	−0.757507	−	0.652827i	$-0.773583\pi$
$101$	−9.47421	+	3.31517i	−0.942719	+	0.329872i	−0.185212	+	0.982699i	$0.559297\pi$
$102$	1.76082	+	1.94251i	0.174347	+	0.192337i
$103$	−4.38222	−	19.1998i	−0.431793	−	1.89181i	−0.452007	−	0.892014i	$-0.649292\pi$
$103$	−4.38222	−	19.1998i	−0.431793	−	1.89181i	0.0202140	−	0.999796i	$-0.493565\pi$
$104$	0.622063	−	0.622063i	0.0609983	−	0.0609983i
$105$	13.2023	+	2.14714i	1.28842	+	0.209540i
$106$	−0.549820	+	0.0619498i	−0.0534032	+	0.00601710i
$107$	10.5333	+	2.40416i	1.01829	+	0.232419i	0.698912	−	0.715207i	$-0.253668\pi$
$107$	10.5333	+	2.40416i	1.01829	+	0.232419i	0.319382	+	0.947626i	$0.396525\pi$
$108$	9.95929	−	1.91054i	0.958333	−	0.183841i
$109$	−4.83556	+	3.85623i	−0.463163	+	0.369360i	−0.827092	−	0.562067i	$-0.810006\pi$
$109$	−4.83556	+	3.85623i	−0.463163	+	0.369360i	0.363929	+	0.931427i	$0.381435\pi$
$110$	−0.336135	+	0.697991i	−0.0320492	+	0.0665508i
$111$	7.51810	+	6.62348i	0.713587	+	0.628673i
$112$	6.67641	−	8.37195i	0.630861	−	0.791075i
$113$	−1.04721	+	9.29425i	−0.0985133	+	0.874330i	0.843128	+	0.537713i	$0.180711\pi$
$113$	−1.04721	+	9.29425i	−0.0985133	+	0.874330i	−0.941642	+	0.336617i	$0.890717\pi$
$114$	−0.160668	−	2.53975i	−0.0150480	−	0.237869i
$115$		−	5.46248i		−	0.509379i
$116$	−10.4940	−	0.575189i	−0.974345	−	0.0534050i
$117$	−2.11635	+	2.17713i	−0.195656	+	0.201275i
$118$	1.87798	+	0.657132i	0.172882	+	0.0604939i
$119$	−19.7262	−	2.22261i	−1.80830	−	0.203746i
$120$	1.08833	−	3.88070i	0.0993500	−	0.354258i
$121$	−4.02175	−	8.35125i	−0.365614	−	0.759205i
$122$	1.29865	+	0.625398i	0.117574	+	0.0566208i
$123$	14.9364	+	8.11761i	1.34677	+	0.731940i
$124$	4.42529	+	7.04281i	0.397403	+	0.632463i
$125$	1.68786	−	7.39500i	0.150967	−	0.661429i
$126$	1.16571	−	1.50497i	0.103850	−	0.134073i
$127$	0.894911	−	1.42424i	0.0794105	−	0.126381i	−0.804658	−	0.593739i	$-0.797651\pi$
$127$	0.894911	−	1.42424i	0.0794105	−	0.126381i	0.884068	+	0.467358i	$0.154794\pi$
$128$	−4.68061	−	4.68061i	−0.413712	−	0.413712i
$129$	−1.72697	−	2.39780i	−0.152051	−	0.211114i
$130$	0.196839	+	0.562535i	0.0172640	+	0.0493376i
$131$	0.644520	+	1.84193i	0.0563120	+	0.160930i	0.968603	−	0.248612i	$-0.0799743\pi$
$131$	0.644520	+	1.84193i	0.0563120	+	0.160930i	−0.912291	+	0.409542i	$0.865689\pi$
$132$	−2.59903	−	3.60860i	−0.226216	−	0.314088i
$133$	13.6247	+	13.6247i	1.18141	+	1.18141i
$134$	−0.417521	+	0.664482i	−0.0360684	+	0.0574025i
$135$	−3.56623	+	13.4454i	−0.306932	+	1.15720i
$136$	−1.33102	+	5.83157i	−0.114134	+	0.500053i
$137$	−1.63370	−	2.60001i	−0.139576	−	0.222134i	0.769620	−	0.638502i	$-0.220446\pi$
$137$	−1.63370	−	2.60001i	−0.139576	−	0.222134i	−0.909196	+	0.416368i	$0.863303\pi$
$138$	−0.683056	−	0.371225i	−0.0581456	−	0.0316008i
$139$	3.10527	+	1.49542i	0.263385	+	0.126840i	0.560916	−	0.827872i	$-0.310449\pi$
$139$	3.10527	+	1.49542i	0.263385	+	0.126840i	−0.297531	+	0.954712i	$0.596163\pi$
$140$	6.53923	+	13.5788i	0.552665	+	1.14762i
$141$	2.00397	−	7.14567i	0.168765	−	0.601774i
$142$	−1.36593	−	0.153903i	−0.114626	−	0.0129153i
$143$	1.25678	+	0.439766i	0.105097	+	0.0367751i
$144$	7.98507	+	7.76215i	0.665422	+	0.646846i
$145$	6.95650	−	12.6269i	0.577706	−	1.04861i
$146$			1.37707i			0.113968i
$147$	0.144518	+	2.28446i	0.0119197	+	0.188419i
$148$	−1.26405	+	11.2187i	−0.103904	+	0.922175i
$149$	6.26162	−	7.85183i	0.512972	−	0.643247i	−0.456128	−	0.889914i	$-0.650764\pi$
$149$	6.26162	−	7.85183i	0.512972	−	0.643247i	0.969100	+	0.246667i	$0.0793355\pi$
$150$	0.619376	+	0.545673i	0.0505718	+	0.0445540i
$151$	4.78111	−	9.92807i	0.389081	−	0.807935i	−0.610789	−	0.791793i	$-0.709148\pi$
$151$	4.78111	−	9.92807i	0.389081	−	0.807935i	0.999870	−	0.0161412i	$-0.00513812\pi$
$152$	4.53926	−	3.61994i	0.368182	−	0.293616i
$153$	4.30845	−	20.1898i	0.348318	−	1.63224i
$154$	−0.813877	−	0.185762i	−0.0655841	−	0.0149691i
$155$	−11.3378	+	1.27746i	−0.910671	+	0.102608i
$156$	−3.37677	−	0.549177i	−0.270358	−	0.0439693i
$157$	−7.69482	+	7.69482i	−0.614113	+	0.614113i	−0.944015	−	0.329902i	$-0.892984\pi$
$157$	−7.69482	+	7.69482i	−0.614113	+	0.614113i	0.329902	+	0.944015i	$0.392984\pi$
$158$	−0.191905	−	0.840790i	−0.0152671	−	0.0668896i
$159$	2.92602	+	3.22794i	0.232048	+	0.255992i
$160$	6.45598	−	2.25905i	0.510390	−	0.178593i
$161$	5.73863	−	1.30981i	0.452268	−	0.103227i
$162$	1.43893	+	1.35968i	0.113053	+	0.106827i
$163$	3.15694	+	1.98363i	0.247270	+	0.155370i	0.649965	−	0.759964i	$-0.274784\pi$
$163$	3.15694	+	1.98363i	0.247270	+	0.155370i	−0.402695	+	0.915334i	$0.631926\pi$
$164$	2.14465	+	19.0343i	0.167469	+	1.48633i
$165$	6.00660	−	1.06435i	0.467613	−	0.0828599i
$166$	2.62876	−	1.65176i	0.204031	−	0.128201i
$167$	−6.03087	−	7.56247i	−0.466683	−	0.585201i	0.491673	−	0.870780i	$-0.336386\pi$
$167$	−6.03087	−	7.56247i	−0.466683	−	0.585201i	−0.958355	+	0.285579i	$0.907814\pi$
$168$	4.33785	+	0.212822i	0.334672	+	0.0164196i
$169$	−10.7897	+	5.19606i	−0.829979	+	0.399697i
$170$	−3.16817	−	2.52653i	−0.242987	−	0.193776i
$171$	−15.4881	+	12.7141i	−1.18441	+	0.972275i
$172$	1.09968	−	3.14271i	0.0838501	−	0.239630i
$173$	−7.67695			−0.583668			−0.291834	−	0.956469i	$-0.594265\pi$
$173$	−7.67695			−0.583668			−0.291834	+	0.956469i	$0.594265\pi$
$174$	−1.10617	−	1.72799i	−0.0838587	−	0.130998i
$175$	−6.25000			−0.472455
$176$	1.61294	−	4.60951i	0.121580	−	0.347455i
$177$	−4.44350	−	15.0232i	−0.333994	−	1.12921i
$178$	−2.58874	−	2.06445i	−0.194034	−	0.154737i
$179$	−11.8006	+	5.68286i	−0.882018	+	0.424757i	−0.819361	−	0.573278i	$-0.805672\pi$
$179$	−11.8006	+	5.68286i	−0.882018	+	0.424757i	−0.0626565	+	0.998035i	$0.519957\pi$
$180$	−14.7194	+	5.38558i	−1.09712	+	0.401418i
$181$	−8.76578	−	10.9919i	−0.651555	−	0.817024i	0.340840	−	0.940121i	$-0.389289\pi$
$181$	−8.76578	−	10.9919i	−0.651555	−	0.817024i	−0.992395	+	0.123097i	$0.960717\pi$
$182$	−0.543775	+	0.341677i	−0.0403073	+	0.0253268i
$183$	−1.98029	−	11.1756i	−0.146387	−	0.826125i
$184$	−0.198585	−	1.76249i	−0.0146399	−	0.129933i
$185$	−13.1126	−	8.23918i	−0.964056	−	0.605756i
$186$	−0.610764	+	1.50455i	−0.0447834	+	0.110319i
$187$	−8.82627	+	2.01454i	−0.645441	+	0.147318i
$188$	7.89287	−	2.76184i	0.575647	−	0.201428i
$189$	−14.9803	−	0.522535i	−1.08966	−	0.0380089i
$190$	0.875234	+	3.83465i	0.0634962	+	0.278195i
$191$	4.67144	−	4.67144i	0.338013	−	0.338013i	−0.517606	−	0.855619i	$-0.673177\pi$
$191$	4.67144	−	4.67144i	0.338013	−	0.338013i	0.855619	+	0.517606i	$0.173177\pi$
$192$	−1.90790	+	11.7313i	−0.137691	+	0.846632i
$193$	5.48513	−	0.618026i	0.394828	−	0.0444865i	0.0876814	−	0.996149i	$-0.472054\pi$
$193$	5.48513	−	0.618026i	0.394828	−	0.0444865i	0.307147	+	0.951662i	$0.400626\pi$
$194$	−0.757813	−	0.172966i	−0.0544078	−	0.0124182i
$195$	2.68844	−	3.84640i	0.192523	−	0.275446i
$196$	−2.01649	+	1.60810i	−0.144035	+	0.114864i
$197$	7.21979	−	14.9920i	0.514389	−	1.06814i	−0.468419	−	0.883506i	$-0.655176\pi$
$197$	7.21979	−	14.9920i	0.514389	−	1.06814i	0.982808	−	0.184632i	$-0.0591095\pi$
$198$	0.275111	−	0.823428i	0.0195513	−	0.0585185i
$199$	−14.2739	+	17.8990i	−1.01185	+	1.26882i	−0.0489994	+	0.998799i	$0.515603\pi$
$199$	−14.2739	+	17.8990i	−1.01185	+	1.26882i	−0.962853	+	0.270024i	$0.912968\pi$
$200$	−0.210858	+	1.87142i	−0.0149099	+	0.132329i
$201$	6.16702	−	0.390135i	0.434988	−	0.0275180i
$202$		−	2.20792i		−	0.155349i
$203$	14.9333	+	4.28049i	1.04811	+	0.300431i
$204$	21.4271	−	9.05360i	1.50020	−	0.633879i
$205$	−24.8003	−	8.67801i	−1.73213	−	0.606099i
$206$	4.30470	+	0.485023i	0.299923	+	0.0337932i
$207$	0.771418	+	6.07265i	0.0536173	+	0.422079i
$208$	−1.63005	−	3.38483i	−0.113024	−	0.234696i
$209$	7.91723	+	3.81274i	0.547646	+	0.263732i
$210$	−1.40496	+	2.58513i	−0.0969512	+	0.178391i
$211$	9.84877	+	15.6742i	0.678017	+	1.07906i	0.991581	+	0.129491i	$0.0413343\pi$
$211$	9.84877	+	15.6742i	0.678017	+	1.07906i	−0.313564	+	0.949567i	$0.601523\pi$
$212$	−1.09236	+	4.78594i	−0.0750236	+	0.328700i
$213$	5.30247	+	9.43573i	0.363319	+	0.646526i
$214$	−1.26441	+	2.01230i	−0.0864335	+	0.137558i
$215$	3.22949	+	3.22949i	0.220249	+	0.220249i
$216$	−0.661857	+	4.46788i	−0.0450337	+	0.304001i
$217$	−4.06063	−	11.6046i	−0.275654	−	0.787773i
$218$	−0.449338	−	1.28414i	−0.0304330	−	0.0869726i
$219$	8.79870	−	6.33711i	0.594561	−	0.428222i
$220$	4.86027	+	4.86027i	0.327679	+	0.327679i
$221$	−3.70539	+	5.89709i	−0.249251	+	0.396681i
$222$	−1.92139	+	1.07974i	−0.128955	+	0.0724671i
$223$	2.38416	−	10.4457i	0.159655	−	0.699494i	−0.830206	−	0.557456i	$-0.811777\pi$
$223$	2.38416	−	10.4457i	0.159655	−	0.699494i	0.989861	−	0.142038i	$-0.0453654\pi$
$224$	3.92128	+	6.24068i	0.262002	+	0.416973i
$225$	0.636248	−	6.46856i	0.0424166	−	0.431237i
$226$	−1.85363	−	0.892660i	−0.123301	−	0.0593789i
$227$	−3.20979	−	6.66520i	−0.213041	−	0.442385i	0.766874	−	0.641797i	$-0.221811\pi$
$227$	−3.20979	−	6.66520i	−0.213041	−	0.442385i	−0.979916	+	0.199412i	$0.936097\pi$
$228$	−21.7397	−	6.09679i	−1.43974	−	0.403770i
$229$	25.7022	+	2.89594i	1.69845	+	0.191369i	0.907366	−	0.420342i	$-0.138090\pi$
$229$	25.7022	+	2.89594i	1.69845	+	0.191369i	0.791081	+	0.611711i	$0.209519\pi$
$230$	1.13414	+	0.396853i	0.0747830	+	0.0261677i
$231$	2.55844	+	6.05505i	0.168333	+	0.398393i
$232$	1.78550	−	4.32702i	0.117224	−	0.284083i
$233$			20.7496i			1.35935i	0.733513	+	0.679676i	$0.237879\pi$
$233$			20.7496i			1.35935i	−0.733513	+	0.679676i	$0.762121\pi$
$234$	−0.298269	−	0.597574i	−0.0194984	−	0.0390646i
$235$	−1.28428	+	11.3983i	−0.0837771	+	0.743543i
$236$	11.0062	−	13.8013i	0.716441	−	0.898388i
$237$	−4.48903	+	5.09536i	−0.291594	+	0.330979i
$238$	1.89459	−	3.93415i	0.122808	−	0.255013i
$239$	3.19218	−	2.54568i	0.206485	−	0.164666i	−0.514787	−	0.857318i	$-0.672129\pi$
$239$	3.19218	−	2.54568i	0.206485	−	0.164666i	0.721272	+	0.692652i	$0.243558\pi$
$240$	−14.1075	−	9.86042i	−0.910633	−	0.636487i
$241$	21.0662	+	4.80823i	1.35699	+	0.309725i	0.838288	−	0.545228i	$-0.183557\pi$
$241$	21.0662	+	4.80823i	1.35699	+	0.309725i	0.518706	+	0.854953i	$0.326414\pi$
$242$	2.02610	−	0.228287i	0.130243	−	0.0146748i
$243$	2.06580	−	15.4510i	0.132521	−	0.991180i
$244$	9.04280	−	9.04280i	0.578906	−	0.578906i
$245$	−0.787258	−	3.44920i	−0.0502960	−	0.220361i
$246$	−2.77055	+	2.51141i	−0.176644	+	0.160122i
$247$	6.38076	−	2.23273i	0.405998	−	0.142065i
$248$	−3.61174	+	0.824355i	−0.229345	+	0.0523466i
$249$	−22.6510	−	9.19507i	−1.43545	−	0.582714i
$250$	1.41275	+	0.887691i	0.0893503	+	0.0561425i
$251$	−0.714056	−	6.33742i	−0.0450708	−	0.400015i	−0.995912	−	0.0903342i	$-0.971206\pi$
$251$	−0.714056	−	6.33742i	−0.0450708	−	0.400015i	0.950841	−	0.309680i	$-0.100222\pi$
$252$	−9.18730	−	14.1722i	−0.578745	−	0.892762i
$253$	2.27301	−	1.42822i	0.142903	−	0.0897917i
$254$	0.230691	+	0.289277i	0.0144748	+	0.0181509i
$255$	−1.56357	+	31.8695i	−0.0979145	+	1.99574i
$256$	−11.0531	+	5.32290i	−0.690820	+	0.332681i
$257$	10.9093	+	8.69991i	0.680506	+	0.542685i	0.901602	−	0.432567i	$-0.142392\pi$
$257$	10.9093	+	8.69991i	0.680506	+	0.542685i	−0.221096	+	0.975252i	$0.570963\pi$
$258$	0.623305	−	0.184359i	0.0388053	−	0.0114777i
$259$	5.51154	−	15.7511i	0.342471	−	0.978725i
$260$	5.28769			0.327929
$261$	−5.95038	+	15.0198i	−0.368319	+	0.929699i
$262$	−0.429254			−0.0265194
$263$	3.22343	−	9.21203i	0.198765	−	0.568038i	−0.800756	−	0.598991i	$-0.795568\pi$
$263$	3.22343	−	9.21203i	0.198765	−	0.568038i	0.999521	+	0.0309528i	$0.00985416\pi$
$264$	1.89936	−	0.561785i	0.116898	−	0.0345755i
$265$	−5.26466	−	4.19843i	−0.323406	−	0.257907i
$266$	−3.81865	+	1.83896i	−0.234136	+	0.112754i
$267$	−1.27761	+	26.0408i	−0.0781882	+	1.59367i
$268$	4.34116	+	5.44364i	0.265178	+	0.332523i
$269$	5.09140	−	3.19914i	0.310428	−	0.195055i	−0.367803	−	0.929904i	$-0.619890\pi$
$269$	5.09140	−	3.19914i	0.310428	−	0.195055i	0.678231	+	0.734849i	$0.262747\pi$
$270$	−2.53251	−	1.71725i	−0.154123	−	0.104509i
$271$	0.418314	+	3.71264i	0.0254108	+	0.225527i	0.999999	+	0.00152214i	$0.000484512\pi$
$271$	0.418314	+	3.71264i	0.0254108	+	0.225527i	−0.974588	+	0.224005i	$0.928087\pi$
$272$	21.6288	+	13.5903i	1.31144	+	0.824032i
$273$	4.68549	+	1.90206i	0.283579	+	0.115118i
$274$	0.658514	−	0.150302i	0.0397823	−	0.00908005i
$275$	−2.69042	+	0.941419i	−0.162239	+	0.0567697i
$276$	−5.11037	+	4.63237i	−0.307608	+	0.278836i
$277$	3.70297	+	16.2238i	0.222490	+	0.974792i	0.955596	+	0.294678i	$0.0952125\pi$
$277$	3.70297	+	16.2238i	0.222490	+	0.974792i	−0.733107	+	0.680114i	$0.761930\pi$
$278$	−0.536084	+	0.536084i	−0.0321522	+	0.0321522i
$279$	12.4238	−	3.02129i	0.743794	−	0.180880i
$280$	−6.67042	+	0.751575i	−0.398634	+	0.0449152i
$281$	−0.869591	−	0.198479i	−0.0518755	−	0.0118402i	0.196504	−	0.980503i	$-0.437041\pi$
$281$	−0.869591	−	0.198479i	−0.0518755	−	0.0118402i	−0.248380	+	0.968663i	$0.579898\pi$
$282$	1.33802	+	0.935211i	0.0796780	+	0.0556910i
$283$	−7.70735	+	6.14640i	−0.458154	+	0.365366i	−0.825203	−	0.564836i	$-0.808940\pi$
$283$	−7.70735	+	6.14640i	−0.458154	+	0.365366i	0.367049	+	0.930202i	$0.380368\pi$
$284$	−5.29147	+	10.9879i	−0.313991	+	0.652009i
$285$	20.4735	−	23.2388i	1.21274	−	1.37655i
$286$	−0.182612	+	0.228988i	−0.0107981	+	0.0135403i
$287$	3.17005	−	28.1350i	0.187122	−	1.66075i
$288$	−6.85811	+	3.42311i	−0.404118	+	0.201709i
$289$		−	30.3543i		−	1.78555i
$290$	2.11625	+	2.36169i	0.124270	+	0.138683i
$291$	2.38220	+	5.63795i	0.139647	+	0.330502i
$292$	11.5322	+	4.03528i	0.674869	+	0.236147i
$293$	3.64260	+	0.410422i	0.212803	+	0.0239771i	0.217722	−	0.976011i	$-0.430137\pi$
$293$	3.64260	+	0.410422i	0.212803	+	0.0239771i	−0.00491939	+	0.999988i	$0.501566\pi$
$294$	−0.484807	−	0.135962i	−0.0282745	−	0.00792946i
$295$	10.5061	+	21.8162i	0.611690	+	1.27019i
$296$	−4.53036	−	2.18171i	−0.263322	−	0.126809i
$297$	−6.52724	+	2.03151i	−0.378749	+	0.117880i
$298$	1.17531	+	1.87050i	0.0680842	+	0.108355i
$299$	0.459537	−	2.01336i	0.0265757	−	0.116436i
$300$	6.38466	−	3.58790i	0.368618	−	0.207147i
$301$	−2.61838	+	4.16713i	−0.150921	+	0.240189i
$302$	1.71395	+	1.71395i	0.0986269	+	0.0986269i
$303$	−14.1073	+	10.1605i	−0.810444	+	0.583708i
$304$	−8.18899	−	23.4028i	−0.469671	−	1.34224i
$305$	5.79377	+	16.5576i	0.331750	+	0.948088i
$306$	3.87886	+	2.36134i	0.221740	+	0.134989i
$307$	0.165484	+	0.165484i	0.00944470	+	0.00944470i	0.711813	−	0.702369i	$-0.247874\pi$
$307$	0.165484	+	0.165484i	0.00944470	+	0.00944470i	−0.702369	+	0.711813i	$0.747874\pi$
$308$	−3.94057	+	6.27139i	−0.224535	+	0.357345i
$309$	−16.7106	−	29.7365i	−0.950634	−	1.69165i
$310$	0.558465	−	2.44680i	0.0317187	−	0.138969i
$311$	−6.46040	−	10.2817i	−0.366335	−	0.583019i	0.611794	−	0.791017i	$-0.290448\pi$
$311$	−6.46040	−	10.2817i	−0.366335	−	0.583019i	−0.978129	+	0.207998i	$0.933305\pi$
$312$	0.727603	−	1.33879i	0.0411924	−	0.0757942i
$313$	−12.8985	−	6.21159i	−0.729067	−	0.351100i	0.0322503	−	0.999480i	$-0.489733\pi$
$313$	−12.8985	−	6.21159i	−0.729067	−	0.351100i	−0.761317	+	0.648380i	$0.775447\pi$
$314$	−1.03859	−	2.15666i	−0.0586112	−	0.121707i
$315$	22.9829	−	2.91955i	1.29494	−	0.164498i
$316$	−7.60345	−	0.856703i	−0.427727	−	0.0481933i
$317$	7.24726	+	2.53593i	0.407047	+	0.142432i	0.526033	−	0.850464i	$-0.323679\pi$
$317$	7.24726	+	2.53593i	0.407047	+	0.142432i	−0.118986	+	0.992896i	$0.537964\pi$
$318$	−0.882775	+	0.372999i	−0.0495036	+	0.0209167i
$319$	7.07306	−	0.406747i	0.396015	−	0.0227735i
$320$		−	18.3700i		−	1.02692i
$321$	18.6761	−	1.18148i	1.04240	−	0.0659437i
$322$	−0.144969	+	1.28664i	−0.00807881	+	0.0717014i
$323$	−28.6581	+	35.9361i	−1.59458	+	1.99954i
$324$	15.6030	−	8.06586i	0.866835	−	0.448103i
$325$	−0.951407	+	1.97562i	−0.0527746	+	0.109588i
$326$	−0.641203	+	0.511343i	−0.0355130	+	0.0283206i
$327$	−6.13708	+	8.78042i	−0.339381	+	0.485558i
$328$	−8.31742	−	1.89840i	−0.459253	−	0.104821i
$329$	−12.2825	+	1.38390i	−0.677155	+	0.0762970i
$330$	−0.215398	+	1.32444i	−0.0118573	+	0.0729080i
$331$	−10.6316	+	10.6316i	−0.584365	+	0.584365i	−0.936100	−	0.351735i	$-0.885592\pi$
$331$	−10.6316	+	10.6316i	−0.584365	+	0.584365i	0.351735	+	0.936100i	$0.385592\pi$
$332$	−6.12936	−	26.8545i	−0.336392	−	1.47383i
$333$	15.7408	+	7.30774i	0.862593	+	0.400462i
$334$	2.00830	−	0.702733i	0.109889	−	0.0384518i
$335$	−9.31131	+	2.12525i	−0.508731	+	0.116115i
$336$	6.97619	−	17.1850i	0.380582	−	0.937520i
$337$	−14.4238	−	9.06307i	−0.785714	−	0.493697i	0.0784435	−	0.996919i	$-0.475005\pi$
$337$	−14.4238	−	9.06307i	−0.785714	−	0.493697i	−0.864157	+	0.503222i	$0.832148\pi$
$338$	−0.294944	−	2.61770i	−0.0160428	−	0.142384i
$339$	2.82656	+	15.9515i	0.153518	+	0.866366i
$340$	−30.4419	+	19.1279i	−1.65095	+	1.03736i
$341$	−3.49594	−	4.38378i	−0.189316	−	0.237395i
$342$	−1.51454	−	4.13939i	−0.0818967	−	0.223833i
$343$	−14.7585	+	7.10730i	−0.796881	+	0.383758i
$344$	1.15942	+	0.924603i	0.0625115	+	0.0498512i
$345$	−2.68350	−	9.07275i	−0.144475	−	0.488461i
$346$	0.557736	−	1.59392i	0.0299841	−	0.0856896i
$347$	−21.7270			−1.16637			−0.583183	−	0.812340i	$-0.698193\pi$
$347$	−21.7270			−1.16637			−0.583183	+	0.812340i	$0.698193\pi$
$348$	−17.7123	+	4.19995i	−0.949479	+	0.225141i
$349$	−8.33859			−0.446354			−0.223177	−	0.974778i	$-0.571643\pi$
$349$	−8.33859			−0.446354			−0.223177	+	0.974778i	$0.571643\pi$
$350$	0.454067	−	1.29765i	0.0242709	−	0.0693622i
$351$	−2.44555	+	4.65571i	−0.130534	+	0.248504i
$352$	2.62800	+	2.09576i	0.140073	+	0.111704i
$353$	25.9226	−	12.4837i	1.37972	−	0.664439i	0.410782	−	0.911733i	$-0.365256\pi$
$353$	25.9226	−	12.4837i	1.37972	−	0.664439i	0.968940	+	0.247294i	$0.0795414\pi$
$354$	3.44199	+	0.168870i	0.182940	+	0.00897534i
$355$	−10.4302	−	13.0791i	−0.553580	−	0.694168i
$356$	−24.8744	+	15.6296i	−1.31834	+	0.828367i
$357$	−33.8555	+	5.99912i	−1.79182	+	0.317507i
$358$	−0.322577	−	2.86295i	−0.0170487	−	0.151311i
$359$	6.11673	+	3.84340i	0.322829	+	0.202847i	0.683690	−	0.729773i	$-0.260374\pi$
$359$	6.11673	+	3.84340i	0.322829	+	0.202847i	−0.360861	+	0.932620i	$0.617517\pi$
$360$	−0.0988112	−	6.98019i	−0.00520781	−	0.367888i
$361$	24.9724	−	5.69978i	1.31434	−	0.299988i
$362$	2.91903	−	1.02141i	0.153421	−	0.0536842i
$363$	−10.7825	−	11.8951i	−0.565932	−	0.624328i
$364$	1.26790	+	5.55501i	0.0664558	+	0.291162i
$365$	−11.8506	+	11.8506i	−0.620288	+	0.620288i
$366$	2.46419	+	0.400761i	0.128805	+	0.0209481i
$367$	34.7450	−	3.91482i	1.81367	−	0.204352i	0.861053	−	0.508515i	$-0.169805\pi$
$367$	34.7450	−	3.91482i	1.81367	−	0.204352i	0.952620	+	0.304163i	$0.0983769\pi$
$368$	−7.38443	−	1.68545i	−0.384940	−	0.0878601i
$369$	28.7961	+	6.14504i	1.49907	+	0.319898i
$370$	2.66329	−	2.12390i	0.138458	−	0.110416i
$371$	3.14831	−	6.53753i	0.163452	−	0.339411i
$372$	10.8099	+	9.52359i	0.560468	+	0.493775i
$373$	0.818330	−	1.02615i	0.0423715	−	0.0531322i	−0.760194	−	0.649696i	$-0.774896\pi$
$373$	0.818330	−	1.02615i	0.0423715	−	0.0531322i	0.802566	+	0.596564i	$0.203468\pi$
$374$	0.222969	−	1.97890i	0.0115294	−	0.102327i
$375$	−0.829466	−	13.1117i	−0.0428334	−	0.677085i
$376$			3.72440i			0.192071i
$377$	3.62628	−	4.06880i	0.186763	−	0.209554i
$378$	1.19682	−	3.07230i	0.0615578	−	0.158022i
$379$	8.66610	+	3.03240i	0.445148	+	0.155764i	0.543539	−	0.839384i	$-0.317084\pi$
$379$	8.66610	+	3.03240i	0.445148	+	0.155764i	−0.0983912	+	0.995148i	$0.531370\pi$
$380$	34.6776	+	3.90723i	1.77892	+	0.200437i
$381$	0.786704	−	2.80519i	0.0403041	−	0.143714i
$382$	0.630518	+	1.30928i	0.0322601	+	0.0669888i
$383$	−21.4111	−	10.3111i	−1.09406	−	0.526871i	−0.202273	−	0.979329i	$-0.564833\pi$
$383$	−21.4111	−	10.3111i	−1.09406	−	0.526871i	−0.891786	+	0.452458i	$0.850547\pi$
$384$	−10.0735	−	5.47473i	−0.514063	−	0.279381i
$385$	−5.40532	−	8.60252i	−0.275481	−	0.438425i
$386$	−0.270182	+	1.18374i	−0.0137519	+	0.0602510i
$387$	−4.04631	−	3.13416i	−0.205685	−	0.159318i
$388$	−3.66913	+	5.83938i	−0.186272	+	0.296450i
$389$	16.6428	+	16.6428i	0.843826	+	0.843826i	0.989354	−	0.145528i	$-0.0464881\pi$
$389$	16.6428	+	16.6428i	0.843826	+	0.843826i	−0.145528	+	0.989354i	$0.546488\pi$
$390$	0.603286	+	0.837627i	0.0305486	+	0.0424149i
$391$	4.63761	+	13.2535i	0.234534	+	0.670260i
$392$	−0.379406	−	1.08428i	−0.0191629	−	0.0547644i
$393$	1.97537	+	2.74268i	0.0996440	+	0.138350i
$394$	2.58818	+	2.58818i	0.130391	+	0.130391i
$395$	5.58406	−	8.88698i	0.280965	−	0.447153i
$396$	−6.08955	−	4.71680i	−0.306011	−	0.237028i
$397$	−3.81871	+	16.7309i	−0.191656	+	0.839699i	0.784065	+	0.620679i	$0.213143\pi$
$397$	−3.81871	+	16.7309i	−0.191656	+	0.839699i	−0.975720	+	0.219020i	$0.929714\pi$
$398$	−2.67924	−	4.26398i	−0.134298	−	0.213734i
$399$	29.3228	+	15.9363i	1.46798	+	0.797811i
$400$	7.24599	+	3.48949i	0.362300	+	0.174474i
$401$	−11.1526	−	23.1586i	−0.556933	−	1.15648i	−0.969394	−	0.245509i	$-0.921045\pi$
$401$	−11.1526	−	23.1586i	−0.556933	−	1.15648i	0.412461	−	0.910975i	$-0.364669\pi$
$402$	−0.367037	+	1.30876i	−0.0183061	+	0.0652752i
$403$	−4.28634	−	0.482955i	−0.213518	−	0.0240577i
$404$	−18.4900	−	6.46993i	−0.919912	−	0.321891i
$405$	0.681994	+	24.0838i	0.0338886	+	1.19673i
$406$	−1.97364	+	2.78952i	−0.0979503	+	0.138442i
$407$		−	7.61053i		−	0.377240i
$408$	0.654103	+	10.3397i	0.0323829	+	0.511890i
$409$	1.14584	−	10.1696i	0.0566581	−	0.502855i	−0.933049	−	0.359749i	$-0.882862\pi$
$409$	1.14584	−	10.1696i	0.0566581	−	0.502855i	0.989707	−	0.143106i	$-0.0457090\pi$
$410$	3.60352	−	4.51868i	0.177965	−	0.223162i
$411$	−3.99073	−	3.51585i	−0.196848	−	0.173424i
$412$	16.6760	−	34.6280i	0.821566	−	1.70600i
$413$	−20.3999	+	16.2684i	−1.00381	+	0.800516i
$414$	−1.31687	−	0.281018i	−0.0647207	−	0.0138113i
$415$	36.8366	+	8.40771i	1.80824	+	0.412718i
$416$	2.56959	−	0.289523i	0.125985	−	0.0141951i
$417$	5.89225	+	0.958278i	0.288545	+	0.0469271i
$418$	−1.36681	+	1.36681i	−0.0668527	+	0.0668527i
$419$	5.07657	+	22.2419i	0.248006	+	1.08659i	0.933519	+	0.358527i	$0.116721\pi$
$419$	5.07657	+	22.2419i	0.248006	+	1.08659i	−0.685513	+	0.728060i	$0.740422\pi$
$420$	17.5319	+	19.3409i	0.855469	+	0.943741i
$421$	5.91461	−	2.06961i	0.288260	−	0.100867i	−0.182276	−	0.983247i	$-0.558346\pi$
$421$	5.91461	−	2.06961i	0.288260	−	0.100867i	0.470536	+	0.882381i	$0.344061\pi$
$422$	−3.96986	+	0.906095i	−0.193250	+	0.0441080i
$423$	−0.181945	−	12.8529i	−0.00884645	−	0.624929i
$424$	−1.85130	−	1.16325i	−0.0899070	−	0.0564923i
$425$	−1.66931	−	14.8155i	−0.0809735	−	0.718659i
$426$	−2.34431	+	0.415406i	−0.113582	+	0.0201265i
$427$	−16.0055	+	10.0569i	−0.774559	+	0.486688i
$428$	13.1467	+	16.4854i	0.635469	+	0.796852i
$429$	2.30345	+	0.113011i	0.111212	+	0.00545624i
$430$	−0.905144	+	0.435894i	−0.0436499	+	0.0210207i
$431$	23.3025	+	18.5831i	1.12244	+	0.895119i	0.995307	−	0.0967666i	$-0.0308500\pi$
$431$	23.3025	+	18.5831i	1.12244	+	0.895119i	0.127136	+	0.991885i	$0.459421\pi$
$432$	17.0758	+	8.96958i	0.821561	+	0.431549i
$433$	−9.20992	+	26.3204i	−0.442600	+	1.26488i	0.479368	+	0.877614i	$0.340866\pi$
$433$	−9.20992	+	26.3204i	−0.442600	+	1.26488i	−0.921968	+	0.387265i	$0.873420\pi$
$434$	2.70440			0.129816
$435$	5.35112	−	24.3897i	0.256567	−	1.16940i
$436$	−12.0706			−0.578075
$437$	4.50146	−	12.8644i	0.215334	−	0.615389i
$438$	0.676503	+	2.28721i	0.0323245	+	0.109287i
$439$	19.3224	+	15.4091i	0.922210	+	0.735438i	0.964615	−	0.263662i	$-0.0849305\pi$
$439$	19.3224	+	15.4091i	0.922210	+	0.735438i	−0.0424048	+	0.999101i	$0.513502\pi$
$440$	−2.75819	+	1.32827i	−0.131492	+	0.0633230i
$441$	1.36230	+	3.72331i	0.0648713	+	0.177300i
$442$	−0.955177	−	1.19775i	−0.0454331	−	0.0569714i
$443$	−17.4508	+	10.9651i	−0.829114	+	0.520967i	−0.878461	−	0.477815i	$-0.841429\pi$
$443$	−17.4508	+	10.9651i	−0.829114	+	0.520967i	0.0493462	+	0.998782i	$0.484286\pi$
$444$	3.41184	+	19.2544i	0.161919	+	0.913775i
$445$	−4.51183	−	40.0436i	−0.213881	−	1.89825i
$446$	1.99556	+	1.25389i	0.0944924	+	0.0593735i
$447$	6.54278	−	16.1174i	0.309463	−	0.762325i
$448$	19.2987	−	4.40481i	0.911779	−	0.208107i
$449$	−11.7738	+	4.11985i	−0.555642	+	0.194428i	−0.593469	−	0.804857i	$-0.702242\pi$
$449$	−11.7738	+	4.11985i	−0.555642	+	0.194428i	0.0378270	+	0.999284i	$0.487956\pi$
$450$	1.29680	+	0.602046i	0.0611319	+	0.0283807i
$451$	−2.87329	−	12.5887i	−0.135298	−	0.592778i
$452$	−12.9072	+	12.9072i	−0.607105	+	0.607105i
$453$	3.06378	−	18.8385i	0.143949	−	0.885111i
$454$	1.61705	−	0.182198i	0.0758919	−	0.00855096i
$455$	−7.61987	−	1.73919i	−0.357225	−	0.0815343i
$456$	5.76102	−	8.24239i	0.269785	−	0.385985i
$457$	−6.94711	+	5.54014i	−0.324972	+	0.259157i	−0.772362	−	0.635182i	$-0.780925\pi$
$457$	−6.94711	+	5.54014i	−0.324972	+	0.259157i	0.447390	+	0.894339i	$0.352354\pi$
$458$	−2.46855	+	5.12599i	−0.115348	+	0.239522i
$459$	−2.76242	−	35.6502i	−0.128939	−	1.66401i
$460$	6.64681	−	8.33483i	0.309909	−	0.388614i
$461$	−2.59507	+	23.0319i	−0.120864	+	1.07270i	0.776103	+	0.630606i	$0.217193\pi$
$461$	−2.59507	+	23.0319i	−0.120864	+	1.07270i	−0.896968	+	0.442096i	$0.854235\pi$
$462$	−1.44304	+	0.0912892i	−0.0671365	+	0.00424716i
$463$		−	3.24899i		−	0.150994i	−0.997146	−	0.0754968i	$-0.975946\pi$
$463$		−	3.24899i		−	0.150994i	0.997146	−	0.0754968i	$-0.0240543\pi$
$464$	−14.9232	−	13.3001i	−0.692791	−	0.617444i
$465$	−18.2036	+	7.69155i	−0.844170	+	0.356687i
$466$	−4.30811	−	1.50747i	−0.199569	−	0.0698323i
$467$	21.8401	+	2.46079i	1.01064	+	0.113872i	0.601727	−	0.798702i	$-0.294480\pi$
$467$	21.8401	+	2.46079i	1.01064	+	0.113872i	0.408912	+	0.912574i	$0.365908\pi$
$468$	−5.87835	+	0.746735i	−0.271727	+	0.0345178i
$469$	−4.46538	−	9.27245i	−0.206192	−	0.428162i
$470$	−2.27325	−	1.09474i	−0.104857	−	0.0504966i
$471$	−9.00033	+	16.5606i	−0.414713	+	0.763074i
$472$	4.18296	+	6.65715i	0.192536	+	0.306420i
$473$	−0.499446	+	2.18822i	−0.0229645	+	0.100614i
$474$	−0.731786	−	1.30221i	−0.0336120	−	0.0598125i
$475$	−7.69934	+	12.2534i	−0.353270	+	0.562226i
$476$	−27.3944	−	27.3944i	−1.25562	−	1.25562i
$477$	6.44565	+	3.92392i	0.295126	+	0.179664i
$478$	0.296629	+	0.847718i	0.0135675	+	0.0387737i
$479$	−1.77297	−	5.06684i	−0.0810088	−	0.231510i	0.896254	−	0.443541i	$-0.146278\pi$
$479$	−1.77297	−	5.06684i	−0.0810088	−	0.231510i	−0.977263	+	0.212031i	$0.931992\pi$
$480$	9.61310	−	6.92367i	0.438776	−	0.316021i
$481$	−4.13991	−	4.13991i	−0.188764	−	0.188764i
$482$	−2.52878	+	4.02453i	−0.115183	+	0.183312i
$483$	8.88797	−	4.99465i	0.404417	−	0.227264i
$484$	4.02538	−	17.6363i	0.182972	−	0.801651i
$485$	−5.03298	−	8.00994i	−0.228536	−	0.363713i
$486$	3.05791	+	1.55143i	0.138709	+	0.0703744i
$487$	−29.6790	−	14.2926i	−1.34488	−	0.647661i	−0.383670	−	0.923470i	$-0.625340\pi$
$487$	−29.6790	−	14.2926i	−1.34488	−	0.647661i	−0.961212	+	0.275809i	$0.911054\pi$
$488$	2.47133	+	5.13177i	0.111872	+	0.232304i
$489$	6.21791	+	1.74378i	0.281183	+	0.0788567i
$490$	0.773331	+	0.0871335i	0.0349355	+	0.00393629i
$491$	9.43922	+	3.30293i	0.425986	+	0.149059i	0.534753	−	0.845008i	$-0.320405\pi$
$491$	9.43922	+	3.30293i	0.425986	+	0.149059i	−0.108767	+	0.994067i	$0.534690\pi$
$492$	12.9129	+	30.5610i	0.582159	+	1.37779i
$493$	−6.15831	+	36.5424i	−0.277356	+	1.64579i
$494$			1.48701i			0.0669036i
$495$	9.45362	−	4.71861i	0.424909	−	0.212086i
$496$	−1.77134	+	15.7211i	−0.0795354	+	0.705897i
$497$	11.2393	−	14.0937i	0.504153	−	0.632188i
$498$	3.55472	−	4.03485i	0.159291	−	0.180806i
$499$	6.36673	−	13.2206i	0.285014	−	0.591837i	−0.708479	−	0.705732i	$-0.750618\pi$
$499$	6.36673	−	13.2206i	0.285014	−	0.591837i	0.993493	+	0.113895i	$0.0363326\pi$
$500$	11.5737	−	9.22973i	0.517592	−	0.412766i
$501$	−13.7319	−	9.59795i	−0.613498	−	0.428805i
$502$	1.36768	+	0.312163i	0.0610424	+	0.0139325i
$503$	−3.39191	+	0.382177i	−0.151238	+	0.0170404i	−0.187259	−	0.982311i	$-0.559960\pi$
$503$	−3.39191	+	0.382177i	−0.151238	+	0.0170404i	0.0360209	+	0.999351i	$0.488532\pi$
$504$	7.30938	−	1.77753i	0.325586	−	0.0791776i
$505$	19.0005	−	19.0005i	0.845513	−	0.845513i
$506$	0.131398	+	0.575691i	0.00584134	+	0.0255926i
$507$	−15.3683	+	13.9308i	−0.682529	+	0.618689i
$508$	3.09852	−	1.08422i	0.137475	−	0.0481045i
$509$	0.266921	−	0.0609230i	0.0118311	−	0.00270036i	−0.216601	−	0.976260i	$-0.569497\pi$
$509$	0.266921	−	0.0609230i	0.0118311	−	0.00270036i	0.228432	+	0.973560i	$0.426640\pi$
$510$	−6.50326	−	2.63997i	−0.287969	−	0.116900i
$511$	−15.2913	−	9.60814i	−0.676446	−	0.425039i
$512$	−1.78442	−	15.8371i	−0.0788608	−	0.699909i
$513$	−19.4786	+	28.7259i	−0.860002	+	1.26828i
$514$	−2.59888	+	1.63298i	−0.114632	+	0.0720278i
$515$	32.8707	+	41.2186i	1.44846	+	1.81631i
$516$	0.282597	−	5.76004i	0.0124406	−	0.253571i
$517$	−5.07876	+	2.44580i	−0.223364	+	0.107566i
$518$	2.86988	+	2.28866i	0.126095	+	0.100558i
$519$	−12.7508	+	3.77138i	−0.559699	+	0.165545i
$520$	−0.777834	+	2.22292i	−0.0341103	+	0.0974815i
$521$	41.1751			1.80392			0.901958	−	0.431824i	$-0.142130\pi$
$521$	41.1751			1.80392			0.901958	+	0.431824i	$0.142130\pi$
$522$	−2.68616	−	2.32664i	−0.117570	−	0.101834i
$523$	−27.7030			−1.21137			−0.605683	−	0.795706i	$-0.707100\pi$
$523$	−27.7030			−1.21137			−0.605683	+	0.795706i	$0.707100\pi$
$524$	−1.25785	+	3.59474i	−0.0549496	+	0.157037i
$525$	−10.3808	+	3.07038i	−0.453053	+	0.134002i
$526$	1.67845	+	1.33852i	0.0731840	+	0.0583623i
$527$	26.4241	−	12.7252i	1.15105	−	0.554317i
$528$	0.414493	−	8.44840i	0.0180385	−	0.367670i
$529$	11.7443	+	14.7269i	0.510622	+	0.640300i
$530$	1.25418	−	0.788050i	0.0544779	−	0.0342307i
$531$	−14.7606	−	22.7694i	−0.640556	−	0.988110i
$532$	4.21032	+	37.3676i	0.182541	+	1.62009i
$533$	−8.41087	−	5.28490i	−0.364315	−	0.228914i
$534$	−5.31387	−	2.15715i	−0.229954	−	0.0933488i
$535$	−28.1982	+	6.43606i	−1.21911	+	0.278255i
$536$	−2.92707	+	1.02423i	−0.126430	+	0.0442399i
$537$	−16.8081	+	15.2360i	−0.725323	+	0.657480i
$538$	0.294323	+	1.28951i	0.0126892	+	0.0555949i
$539$	1.22942	−	1.22942i	0.0529548	−	0.0529548i
$540$	−21.8020	+	16.1761i	−0.938210	+	0.696108i
$541$	13.3034	−	1.49893i	0.571957	−	0.0644440i	0.178751	−	0.983894i	$-0.442794\pi$
$541$	13.3034	−	1.49893i	0.571957	−	0.0644440i	0.393206	+	0.919450i	$0.371366\pi$
$542$	−0.801223	−	0.182874i	−0.0344155	−	0.00785511i
$543$	−19.9592	−	13.9505i	−0.856530	−	0.598672i
$544$	−13.7461	+	10.9622i	−0.589361	+	0.469999i
$545$	7.18395	−	14.9176i	0.307727	−	0.639001i
$546$	−0.735316	+	0.834634i	−0.0314686	+	0.0357190i
$547$	−0.199715	+	0.250435i	−0.00853921	+	0.0107078i	−0.786083	−	0.618121i	$-0.787894\pi$
$547$	−0.199715	+	0.250435i	−0.00853921	+	0.0107078i	0.777544	+	0.628829i	$0.216465\pi$
$548$	0.670978	−	5.95509i	0.0286627	−	0.254389i
$549$	−8.77925	−	17.5890i	−0.374689	−	0.750680i
$550$		−	0.626990i		−	0.0267350i
$551$	26.7883	−	24.0043i	1.14122	−	1.02262i
$552$	−1.19568	−	2.82981i	−0.0508914	−	0.120445i
$553$	10.6752	+	3.73542i	0.453957	+	0.158846i
$554$	−3.63747	−	0.409844i	−0.154541	−	0.0174126i
$555$	−25.8266	−	7.24294i	−1.09628	−	0.307446i
$556$	2.91848	+	6.06028i	0.123771	+	0.257013i
$557$	−21.6438	−	10.4231i	−0.917075	−	0.441640i	−0.0850493	−	0.996377i	$-0.527105\pi$
$557$	−21.6438	−	10.4231i	−0.917075	−	0.441640i	−0.832026	+	0.554737i	$0.812819\pi$
$558$	−0.275308	+	2.79898i	−0.0116547	+	0.118490i
$559$	0.918642	+	1.46201i	0.0388544	+	0.0618365i
$560$	−6.37883	+	27.9475i	−0.269555	+	1.18100i
$561$	−13.6701	+	7.68199i	−0.577152	+	0.324334i
$562$	0.104385	−	0.166128i	0.00440323	−	0.00700770i
$563$	−27.3242	−	27.3242i	−1.15158	−	1.15158i	−0.986237	−	0.165340i	$-0.947128\pi$
$563$	−27.3242	−	27.3242i	−1.15158	−	1.15158i	−0.165340	−	0.986237i	$-0.552872\pi$
$564$	11.7527	−	8.46465i	0.494877	−	0.356426i
$565$	−8.26973	−	23.6335i	−0.347910	−	0.994270i
$566$	−0.716196	−	2.04677i	−0.0301039	−	0.0860321i
$567$	−25.1378	+	6.49134i	−1.05569	+	0.272611i
$568$	−3.84085	−	3.84085i	−0.161158	−	0.161158i
$569$	10.0159	−	15.9403i	0.419890	−	0.668251i	−0.568067	−	0.822983i	$-0.692308\pi$
$569$	10.0159	−	15.9403i	0.419890	−	0.668251i	0.987957	+	0.154732i	$0.0494513\pi$
$570$	3.33751	+	5.93909i	0.139793	+	0.248761i
$571$	4.74899	−	20.8067i	0.198739	−	0.870733i	−0.772950	−	0.634468i	$-0.781219\pi$
$571$	4.74899	−	20.8067i	0.198739	−	0.870733i	0.971689	−	0.236265i	$-0.0759234\pi$
$572$	1.38252	+	2.20027i	0.0578062	+	0.0919981i
$573$	5.46400	−	10.0538i	0.228262	−	0.420003i
$574$	5.61118	+	2.70220i	0.234206	+	0.112788i
$575$	1.91816	+	3.98309i	0.0799926	+	0.166106i
$576$	2.59424	+	20.4220i	0.108093	+	0.850917i
$577$	−26.7681	−	3.01604i	−1.11437	−	0.125559i	−0.464477	−	0.885585i	$-0.653758\pi$
$577$	−26.7681	−	3.01604i	−1.11437	−	0.125559i	−0.649893	+	0.760026i	$0.725186\pi$
$578$	6.30228	+	2.20526i	0.262140	+	0.0917268i
$579$	8.80677	−	3.72112i	0.365997	−	0.154645i
$580$	25.9790	−	10.8018i	1.07872	−	0.448519i
$581$			40.7149i			1.68914i
$582$	−1.34364	+	0.0850008i	−0.0556957	+	0.00352340i
$583$	0.370515	−	3.28842i	0.0153452	−	0.136192i
$584$	−3.39283	+	4.25447i	−0.140396	+	0.176051i
$585$	2.57571	−	7.70929i	0.106492	−	0.318740i
$586$	−0.349851	+	0.726472i	−0.0144522	+	0.0300103i
$587$	−7.49243	+	5.97502i	−0.309246	+	0.246615i	−0.765798	−	0.643081i	$-0.777656\pi$
$587$	−7.49243	+	5.97502i	−0.309246	+	0.246615i	0.456552	+	0.889697i	$0.349084\pi$
$588$	−2.55924	+	3.66155i	−0.105541	+	0.151000i
$589$	−27.7537	−	6.33460i	−1.14357	−	0.261013i
$590$	−5.29284	+	0.596360i	−0.217903	+	0.0245517i
$591$	4.62651	−	28.4474i	0.190309	−	1.17017i
$592$	−15.1840	+	15.1840i	−0.624058	+	0.624058i
$593$	1.65391	+	7.24623i	0.0679177	+	0.297567i	0.997467	−	0.0711309i	$-0.0226608\pi$
$593$	1.65391	+	7.24623i	0.0679177	+	0.297567i	−0.929549	+	0.368698i	$0.879804\pi$
$594$	0.0524200	−	1.50280i	0.00215082	−	0.0616607i
$595$	50.1599	−	17.5517i	2.05636	−	0.719551i
$596$	19.1084	−	4.36137i	0.782710	−	0.178648i
$597$	−14.9149	+	36.7410i	−0.610424	+	1.50371i
$598$	0.384636	+	0.241683i	0.0157289	+	0.00988315i
$599$	−1.84370	−	16.3633i	−0.0753317	−	0.668587i	−0.973461	−	0.228855i	$-0.926502\pi$
$599$	−1.84370	−	16.3633i	−0.0753317	−	0.668587i	0.898129	−	0.439732i	$-0.144927\pi$
$600$	0.569135	+	3.21187i	0.0232348	+	0.131124i
$601$	13.4004	−	8.42004i	0.546614	−	0.343461i	−0.230247	−	0.973132i	$-0.573953\pi$
$601$	13.4004	−	8.42004i	0.546614	−	0.343461i	0.776861	+	0.629672i	$0.216811\pi$
$602$	−0.674968	−	0.846383i	−0.0275097	−	0.0344960i
$603$	10.0513	−	3.67760i	0.409320	−	0.149763i
$604$	19.3758	−	9.33087i	0.788388	−	0.379668i
$605$	19.4004	+	15.4713i	0.788739	+	0.628999i
$606$	−1.08466	−	3.66719i	−0.0440615	−	0.148969i
$607$	−1.38448	+	3.95661i	−0.0561942	+	0.160594i	−0.968559	−	0.248785i	$-0.919969\pi$
$607$	−1.38448	+	3.95661i	−0.0561942	+	0.160594i	0.912365	+	0.409379i	$0.134255\pi$
$608$	17.0658			0.692108
$609$	26.9059	−	0.226578i	1.09028	−	0.00918142i
$610$	−3.85868			−0.156234
$611$	−1.43225	+	4.09314i	−0.0579428	+	0.165591i
$612$	31.1411	−	25.5636i	1.25880	−	1.03335i
$613$	9.32757	+	7.43849i	0.376737	+	0.300438i	0.793491	−	0.608581i	$-0.208261\pi$
$613$	9.32757	+	7.43849i	0.376737	+	0.300438i	−0.416754	+	0.909019i	$0.636833\pi$
$614$	−0.0463811	+	0.0223359i	−0.00187179	+	0.000901405i
$615$	−45.4546	−	2.23008i	−1.83291	−	0.0899255i
$616$	−2.05679	−	2.57913i	−0.0828705	−	0.103916i
$617$	−13.9311	+	8.75347i	−0.560844	+	0.352402i	−0.782429	−	0.622739i	$-0.786020\pi$
$617$	−13.9311	+	8.75347i	−0.560844	+	0.352402i	0.221585	+	0.975141i	$0.428877\pi$
$618$	7.38805	−	1.30914i	0.297191	−	0.0526615i
$619$	−3.18039	−	28.2267i	−0.127831	−	1.13453i	−0.879805	−	0.475335i	$-0.842327\pi$
$619$	−3.18039	−	28.2267i	−0.127831	−	1.13453i	0.751974	−	0.659192i	$-0.229102\pi$
$620$	−18.8540	−	11.8467i	−0.757193	−	0.475776i
$621$	4.26452	+	9.70724i	0.171129	+	0.389538i
$622$	2.60407	−	0.594362i	0.104414	−	0.0238317i
$623$	40.9861	−	14.3417i	1.64207	−	0.574587i
$624$	−4.37022	−	4.82116i	−0.174949	−	0.193001i
$625$	6.92904	+	30.3581i	0.277162	+	1.21432i
$626$	2.22676	−	2.22676i	0.0889992	−	0.0889992i
$627$	15.0229	+	2.44324i	0.599959	+	0.0975735i
$628$	−21.1041	+	2.37787i	−0.842147	+	0.0948872i
$629$	38.8099	+	8.85810i	1.54745	+	0.353195i
$630$	−1.06355	+	4.98390i	−0.0423730	+	0.198563i
$631$	−15.9262	+	12.7007i	−0.634013	+	0.505608i	−0.886945	−	0.461876i	$-0.847177\pi$
$631$	−15.9262	+	12.7007i	−0.634013	+	0.505608i	0.252932	+	0.967484i	$0.418605\pi$
$632$	1.47864	−	3.07043i	0.0588172	−	0.122135i
$633$	24.0582	+	21.1954i	0.956226	+	0.842440i
$634$	−1.05304	+	1.32047i	−0.0418215	+	0.0524425i
$635$	−0.504172	+	4.47465i	−0.0200075	+	0.177571i
$636$	0.536820	+	8.48571i	0.0212863	+	0.336480i
$637$		−	1.33754i		−	0.0529951i
$638$	−0.429412	+	1.49808i	−0.0170006	+	0.0593097i
$639$	13.4424	+	13.0671i	0.531773	+	0.516927i
$640$	16.7260	+	5.85269i	0.661154	+	0.231348i
$641$	−26.1791	−	2.94968i	−1.03401	−	0.116505i	−0.421389	−	0.906880i	$-0.638457\pi$
$641$	−26.1791	−	2.94968i	−1.03401	−	0.116505i	−0.612624	+	0.790375i	$0.709886\pi$
$642$	−1.11153	+	3.96344i	−0.0438685	+	0.156424i
$643$	13.4841	+	27.9999i	0.531759	+	1.10421i	0.977866	+	0.209230i	$0.0670958\pi$
$643$	13.4841	+	27.9999i	0.531759	+	1.10421i	−0.446107	+	0.894980i	$0.647190\pi$
$644$	10.3500	+	4.98429i	0.407847	+	0.196409i
$645$	6.95045	+	3.77741i	0.273674	+	0.148735i
$646$	−5.37916	−	8.56089i	−0.211640	−	0.336824i
$647$	−3.10493	+	13.6036i	−0.122067	+	0.534812i	0.876505	+	0.481393i	$0.159869\pi$
$647$	−3.10493	+	13.6036i	−0.122067	+	0.534812i	−0.998572	+	0.0534189i	$0.982988\pi$
$648$	1.09560	+	7.74595i	0.0430393	+	0.304290i
$649$	−6.33105	+	10.0758i	−0.248515	+	0.395510i
$650$	−0.341065	−	0.341065i	−0.0133777	−	0.0133777i
$651$	−12.4453	−	17.2796i	−0.487769	−	0.677239i
$652$	2.40325	+	6.86809i	0.0941185	+	0.268975i
$653$	−7.35593	−	21.0220i	−0.287860	−	0.822656i	−0.993474	−	0.114060i	$-0.963614\pi$
$653$	−7.35593	−	21.0220i	−0.287860	−	0.822656i	0.705614	−	0.708596i	$-0.250671\pi$
$654$	−1.37716	−	1.91211i	−0.0538513	−	0.0747693i
$655$	−3.69400	−	3.69400i	−0.144336	−	0.144336i
$656$	−19.3835	+	30.8486i	−0.756798	+	1.20444i
$657$	11.5008	−	14.8479i	0.448688	−	0.579272i
$658$	0.605000	−	2.65068i	0.0235853	−	0.103334i
$659$	25.4012	+	40.4258i	0.989491	+	1.57477i	0.806146	+	0.591717i	$0.201550\pi$
$659$	25.4012	+	40.4258i	0.989491	+	1.57477i	0.183345	+	0.983049i	$0.441308\pi$
$660$	10.4602	+	5.68487i	0.407162	+	0.221283i
$661$	24.5067	+	11.8018i	0.953201	+	0.459037i	0.844807	−	0.535071i	$-0.179715\pi$
$661$	24.5067	+	11.8018i	0.953201	+	0.459037i	0.108394	+	0.994108i	$0.465429\pi$
$662$	−1.43498	−	2.97976i	−0.0557720	−	0.115812i
$663$	−3.25735	+	11.6149i	−0.126505	+	0.451086i
$664$	12.1911	+	1.37361i	0.473108	+	0.0533065i
$665$	−48.6873	−	17.0364i	−1.88801	−	0.660644i
$666$	−2.66084	+	2.73726i	−0.103106	+	0.106067i
$667$	−1.85517	−	10.8306i	−0.0718324	−	0.419363i
$668$		−	18.8775i		−	0.730392i
$669$	−1.17165	−	18.5207i	−0.0452985	−	0.716051i
$670$	0.235222	−	2.08765i	0.00908741	−	0.0806530i
$671$	−5.37500	+	6.74003i	−0.207500	+	0.260196i
$672$	9.57874	+	8.43892i	0.369508	+	0.325538i
$673$	5.06459	−	10.5167i	0.195226	−	0.405390i	−0.780259	−	0.625456i	$-0.784913\pi$
$673$	5.06459	−	10.5167i	0.195226	−	0.405390i	0.975485	+	0.220066i	$0.0706272\pi$
$674$	2.92961	−	2.33628i	0.112844	−	0.0899903i
$675$	−2.12099	−	11.0563i	−0.0816369	−	0.425559i
$676$	−22.7859	−	5.20074i	−0.876382	−	0.200029i
$677$	−1.31548	+	0.148219i	−0.0505579	+	0.00569651i	−0.137207	−	0.990542i	$-0.543813\pi$
$677$	−1.31548	+	0.148219i	−0.0505579	+	0.00569651i	0.0866493	+	0.996239i	$0.472384\pi$
$678$	−3.51726	−	0.572025i	−0.135080	−	0.0219685i
$679$	7.20806	−	7.20806i	0.276620	−	0.276620i
$680$	−3.56320	−	15.6114i	−0.136643	−	0.598670i
$681$	−8.60557	−	9.49354i	−0.329766	−	0.363793i
$682$	1.16416	−	0.407357i	0.0445780	−	0.0155985i
$683$	2.27786	−	0.519908i	0.0871600	−	0.0198937i	−0.178718	−	0.983900i	$-0.557195\pi$
$683$	2.27786	−	0.519908i	0.0871600	−	0.0198937i	0.265879	+	0.964007i	$0.414338\pi$
$684$	−39.1030	+	0.553540i	−1.49514	+	0.0211651i
$685$	6.96037	+	4.37349i	0.265942	+	0.167102i
$686$	−0.403432	−	3.58056i	−0.0154031	−	0.136706i
$687$	44.1120	−	7.81653i	1.68298	−	0.298219i
$688$	5.36223	−	3.36931i	0.204433	−	0.128454i
$689$	−1.58725	−	1.99035i	−0.0604696	−	0.0758264i
$690$	2.07868	+	0.101983i	0.0791339	+	0.00388244i
$691$	−3.00721	+	1.44820i	−0.114400	+	0.0550920i	−0.490208	−	0.871605i	$-0.663079\pi$
$691$	−3.00721	+	1.44820i	−0.114400	+	0.0550920i	0.375809	+	0.926697i	$0.377365\pi$
$692$	−11.7138	−	9.34140i	−0.445290	−	0.355107i
$693$	7.22397	+	8.80010i	0.274416	+	0.334288i
$694$	1.57848	−	4.51104i	0.0599184	−	0.171237i
$695$	−9.22668			−0.349988
$696$	0.839889	−	8.06399i	0.0318359	−	0.305665i
$697$	67.5403			2.55827
$698$	0.605804	−	1.73129i	0.0229300	−	0.0655303i
$699$	10.1935	+	34.4635i	0.385552	+	1.30353i
$700$	−9.53645	−	7.60507i	−0.360444	−	0.287445i
$701$	−3.20583	+	1.54385i	−0.121082	+	0.0583102i	−0.493444	−	0.869777i	$-0.664262\pi$
$701$	−3.20583	+	1.54385i	−0.121082	+	0.0583102i	0.372362	+	0.928088i	$0.378548\pi$
$702$	−0.788966	−	0.845996i	−0.0297776	−	0.0319301i
$703$	−24.0911	−	30.2093i	−0.908615	−	1.13937i
$704$	7.64399	−	4.80304i	0.288094	−	0.181021i
$705$	3.46644	+	19.5626i	0.130554	+	0.736770i
$706$	0.708612	+	6.28910i	0.0266690	+	0.236694i
$707$	24.5171	+	15.4051i	0.922061	+	0.579369i
$708$	11.5004	−	28.3298i	0.432210	−	1.06470i
$709$	2.07593	−	0.473818i	0.0779632	−	0.0177946i	−0.183361	−	0.983046i	$-0.558698\pi$
$709$	2.07593	−	0.473818i	0.0779632	−	0.0177946i	0.261325	+	0.965251i	$0.415841\pi$
$710$	3.47330	−	1.21536i	0.130351	−	0.0456117i
$711$	−4.95279	+	10.6683i	−0.185744	+	0.400092i
$712$	−2.91152	−	12.7562i	−0.109114	−	0.478059i
$713$	−6.14934	+	6.14934i	−0.230295	+	0.230295i
$714$	1.21407	−	7.46505i	0.0454354	−	0.279373i
$715$	−3.54208	+	0.399096i	−0.132466	+	0.0149254i
$716$	−24.9207	−	5.68799i	−0.931331	−	0.212570i
$717$	4.05137	−	5.79637i	0.151301	−	0.216469i
$718$	−1.24237	+	0.990754i	−0.0463647	+	0.0369746i
$719$	−22.7411	+	47.2224i	−0.848100	+	1.76110i	−0.233320	+	0.972400i	$0.574959\pi$
$719$	−22.7411	+	47.2224i	−0.848100	+	1.76110i	−0.614780	+	0.788698i	$0.710755\pi$
$720$	−28.2754	−	9.44695i	−1.05376	−	0.352067i
$721$	−35.4206	+	44.4160i	−1.31913	+	1.65414i
$722$	−0.630850	+	5.59895i	−0.0234778	+	0.208371i
$723$	37.3514	−	2.36291i	1.38911	−	0.0878776i
$724$		−	27.4382i		−	1.01973i
$725$	−0.638549	+	11.6500i	−0.0237151	+	0.432669i
$726$	3.25305	−	1.37451i	0.120732	−	0.0510129i
$727$	−33.3117	−	11.6563i	−1.23546	−	0.432307i	−0.368008	−	0.929823i	$-0.619960\pi$
$727$	−33.3117	−	11.6563i	−1.23546	−	0.432307i	−0.867455	+	0.497516i	$0.834246\pi$
$728$	−2.52181	−	0.284140i	−0.0934645	−	0.0105309i
$729$	−4.15932	−	26.6777i	−0.154049	−	0.988063i
$730$	−1.59951	−	3.32142i	−0.0592006	−	0.122931i
$731$	−10.5775	−	5.09385i	−0.391222	−	0.188403i
$732$	10.5770	−	19.4618i	0.390938	−	0.719327i
$733$	19.7936	+	31.5014i	0.731095	+	1.16353i	0.980764	+	0.195200i	$0.0625355\pi$
$733$	19.7936	+	31.5014i	0.731095	+	1.16353i	−0.249668	+	0.968331i	$0.580322\pi$
$734$	−1.71144	+	7.49830i	−0.0631703	+	0.276767i
$735$	−3.00203	−	5.34211i	−0.110732	−	0.197047i
$736$	2.77370	−	4.41431i	0.102240	−	0.162714i
$737$	−3.31888	−	3.31888i	−0.122253	−	0.122253i
$738$	−3.36792	+	5.53232i	−0.123975	+	0.203648i
$739$	2.53638	+	7.24856i	0.0933023	+	0.266643i	0.981071	−	0.193647i	$-0.0620315\pi$
$739$	2.53638	+	7.24856i	0.0933023	+	0.266643i	−0.887769	+	0.460289i	$0.847746\pi$
$740$	−9.98208	−	28.5271i	−0.366949	−	1.04868i
$741$	9.50110	−	6.84300i	0.349032	−	0.251384i
$742$	1.12862	+	1.12862i	0.0414329	+	0.0414329i
$743$	11.3618	−	18.0823i	0.416826	−	0.663374i	−0.570641	−	0.821199i	$-0.693305\pi$
$743$	11.3618	−	18.0823i	0.416826	−	0.663374i	0.987467	+	0.157825i	$0.0504482\pi$
$744$	−5.59384	+	3.14349i	−0.205080	+	0.115246i
$745$	−5.98253	+	26.2112i	−0.219183	+	0.960303i
$746$	0.153602	+	0.244456i	0.00562376	+	0.00895016i
$747$	−42.1387	−	4.14477i	−1.54177	−	0.151649i
$748$	−15.9187	−	7.66606i	−0.582047	−	0.280299i
$749$	−13.5229	−	28.0805i	−0.494115	−	1.02604i
$750$	2.78256	+	0.780357i	0.101605	+	0.0284946i
$751$	19.5420	+	2.20185i	0.713097	+	0.0803467i	0.461058	−	0.887370i	$-0.347470\pi$
$751$	19.5420	+	2.20185i	0.713097	+	0.0803467i	0.252039	+	0.967717i	$0.418899\pi$
$752$	15.0125	+	5.25309i	0.547448	+	0.191561i
$753$	−4.29932	−	10.1752i	−0.156676	−	0.370804i
$754$	0.581327	+	1.04850i	0.0211707	+	0.0381842i
$755$			29.4993i			1.07359i
$756$	−22.2216	−	19.0255i	−0.808192	−	0.691951i
$757$	0.861919	−	7.64974i	0.0313270	−	0.278035i	−0.968277	−	0.249881i	$-0.919609\pi$
$757$	0.861919	−	7.64974i	0.0313270	−	0.278035i	0.999604	−	0.0281539i	$-0.00896285\pi$
$758$	−1.25920	+	1.57898i	−0.0457361	+	0.0573513i
$759$	3.07365	−	3.48881i	0.111567	−	0.126636i
$760$	−6.74375	+	14.0035i	−0.244622	+	0.507962i
$761$	−36.9339	+	29.4538i	−1.33885	+	1.06770i	−0.347332	+	0.937742i	$0.612912\pi$
$761$	−36.9339	+	29.4538i	−1.33885	+	1.06770i	−0.991520	+	0.129956i	$0.958516\pi$
$762$	0.525270	+	0.367138i	0.0190285	+	0.0133000i
$763$	17.3944	+	3.97015i	0.629718	+	0.143729i
$764$	12.8121	−	1.44358i	0.463525	−	0.0522267i
$765$	13.0592	+	53.7008i	0.472158	+	1.94156i
$766$	3.69636	−	3.69636i	0.133555	−	0.133555i
$767$	2.03704	+	8.92486i	0.0735533	+	0.322258i
$768$	−15.7434	+	14.2709i	−0.568092	+	0.514956i
$769$	−45.8260	+	16.0352i	−1.65253	+	0.578245i	−0.985928	−	0.167169i	$-0.946537\pi$
$769$	−45.8260	+	16.0352i	−1.65253	+	0.578245i	−0.666601	+	0.745414i	$0.732252\pi$
$770$	2.17879	−	0.497294i	0.0785181	−	0.0179212i
$771$	22.3935	+	9.09055i	0.806482	+	0.327388i
$772$	9.12142	+	5.73137i	0.328287	+	0.206276i
$773$	−4.92235	−	43.6871i	−0.177045	−	1.57132i	−0.696968	−	0.717103i	$-0.745468\pi$
$773$	−4.92235	−	43.6871i	−0.177045	−	1.57132i	0.519923	−	0.854213i	$-0.325961\pi$
$774$	0.944693	−	0.612410i	0.0339563	−	0.0220126i
$775$	7.81861	−	4.91276i	0.280853	−	0.176471i
$776$	−1.91511	−	2.40147i	−0.0687484	−	0.0862078i
$777$	1.41636	−	28.8689i	0.0508116	−	1.03567i
$778$	−4.66457	+	2.24634i	−0.167233	+	0.0805351i
$779$	−51.2548	−	40.8743i	−1.83639	−	1.46448i
$780$	8.78245	−	2.59764i	0.314462	−	0.0930103i
$781$	2.71528	−	7.75983i	0.0971604	−	0.277669i
$782$	−3.08867			−0.110451
$783$	−2.50451	+	27.8698i	−0.0895038	+	0.995986i
$784$	−4.90570			−0.175203
$785$	9.62167	−	27.4972i	0.343412	−	0.981416i
$786$	−0.712957	+	0.210875i	−0.0254303	+	0.00752168i
$787$	−28.7901	−	22.9593i	−1.02626	−	0.818412i	−0.0427137	−	0.999087i	$-0.513600\pi$
$787$	−28.7901	−	22.9593i	−1.02626	−	0.818412i	−0.983543	+	0.180675i	$0.942172\pi$
$788$	29.2587	−	14.0902i	1.04230	−	0.501944i
$789$	0.828358	−	16.8840i	0.0294903	−	0.601087i
$790$	1.43946	+	1.80503i	0.0512138	+	0.0642201i
$791$	22.8454	−	14.3547i	0.812288	−	0.510395i
$792$	2.87871	−	1.86616i	0.102290	−	0.0663112i
$793$	0.742541	+	6.59023i	0.0263684	+	0.234026i
$794$	−3.19630	−	2.00837i	−0.113432	−	0.0712743i
$795$	−10.8067	−	4.38694i	−0.383275	−	0.155589i
$796$	−43.5593	+	9.94213i	−1.54392	+	0.352389i
$797$	−19.3707	+	6.77809i	−0.686145	+	0.240092i	−0.650762	−	0.759281i	$-0.725551\pi$
$797$	−19.3707	+	6.77809i	−0.686145	+	0.240092i	−0.0353822	+	0.999374i	$0.511265\pi$
$798$	−5.43907	+	4.93033i	−0.192541	+	0.174532i
$799$	−6.56105	−	28.7458i	−0.232113	−	1.01695i
$800$	−3.91426	+	3.91426i	−0.138390	+	0.138390i
$801$	10.6708	+	43.8794i	0.377035	+	1.55040i
$802$	5.61851	−	0.633055i	0.198397	−	0.0223539i
$803$	−8.02964	−	1.83271i	−0.283360	−	0.0646751i
$804$	9.88457	+	6.90882i	0.348602	+	0.243655i
$805$	−12.3199	+	9.82476i	−0.434218	+	0.346277i
$806$	0.411679	−	0.854860i	0.0145008	−	0.0301111i
$807$	6.88481	−	7.81472i	0.242357	−	0.275091i
$808$	5.43986	−	6.82136i	0.191373	−	0.239975i
$809$	1.55106	−	13.7660i	0.0545323	−	0.483988i	−0.936530	−	0.350588i	$-0.885982\pi$
$809$	1.55106	−	13.7660i	0.0545323	−	0.483988i	0.991062	−	0.133400i	$-0.0425895\pi$
$810$	−5.04991	−	1.60811i	−0.177436	−	0.0565031i
$811$			11.3656i			0.399099i	0.979888	+	0.199549i	$0.0639478\pi$
$811$			11.3656i			0.399099i	−0.979888	+	0.199549i	$0.936052\pi$
$812$	17.5772	+	24.7023i	0.616837	+	0.866881i
$813$	2.51866	+	5.96090i	0.0883333	+	0.209058i
$814$	1.58013	+	0.552910i	0.0553834	+	0.0193795i
$815$	−9.91838	−	1.11753i	−0.347426	−	0.0391455i
$816$	42.6002	+	11.9470i	1.49130	+	0.418230i
$817$	4.94430	+	10.2669i	0.172979	+	0.359195i
$818$	2.02821	+	0.976732i	0.0709145	+	0.0341506i
$819$	8.71664	+	0.857370i	0.304584	+	0.0299589i
$820$	−27.2817	−	43.4185i	−0.952718	−	1.51624i
$821$	4.67173	−	20.4682i	0.163045	−	0.714345i	−0.825623	−	0.564222i	$-0.809176\pi$
$821$	4.67173	−	20.4682i	0.163045	−	0.714345i	0.988667	−	0.150122i	$-0.0479668\pi$
$822$	1.01990	−	0.573141i	0.0355732	−	0.0199906i
$823$	6.25475	−	9.95438i	0.218027	−	0.346988i	−0.719746	−	0.694238i	$-0.755742\pi$
$823$	6.25475	−	9.95438i	0.218027	−	0.346988i	0.937773	+	0.347250i	$0.112884\pi$
$824$	12.1044	+	12.1044i	0.421675	+	0.421675i
$825$	−4.00610	+	2.88532i	−0.139474	+	0.100454i
$826$	−1.89564	−	5.41742i	−0.0659577	−	0.188496i
$827$	10.2881	+	29.4016i	0.357751	+	1.02239i	0.972345	+	0.233550i	$0.0750341\pi$
$827$	10.2881	+	29.4016i	0.357751	+	1.02239i	−0.614594	+	0.788844i	$0.710680\pi$
$828$	−6.21222	+	10.2045i	−0.215890	+	0.354632i
$829$	10.4079	+	10.4079i	0.361482	+	0.361482i	0.864358	−	0.502876i	$-0.167725\pi$
$829$	10.4079	+	10.4079i	0.361482	+	0.361482i	−0.502876	+	0.864358i	$0.667725\pi$
$830$	−4.42184	+	7.03732i	−0.153484	+	0.244269i
$831$	14.1204	+	25.1273i	0.489833	+	0.871657i
$832$	1.54540	−	6.77083i	0.0535770	−	0.234736i
$833$	4.83846	+	7.70037i	0.167643	+	0.266802i
$834$	−0.627037	+	1.15375i	−0.0217125	+	0.0399511i
$835$	23.3301	+	11.2352i	0.807371	+	0.388810i
$836$	7.44099	+	15.4514i	0.257352	+	0.534397i
$837$	19.1508	−	11.1215i	0.661947	−	0.384414i
$838$	−4.98676	−	0.561873i	−0.172265	−	0.0194096i
$839$	4.17686	+	1.46155i	0.144201	+	0.0504581i	0.401415	−	0.915896i	$-0.368519\pi$
$839$	4.17686	+	1.46155i	0.144201	+	0.0504581i	−0.257214	+	0.966355i	$0.582804\pi$
$840$	−10.7098	+	4.52522i	−0.369524	+	0.156135i
$841$	9.50451	−	27.3983i	0.327742	−	0.944767i
$842$			1.37837i			0.0475018i
$843$	−1.54183	+	0.0975385i	−0.0531034	+	0.00335940i
$844$	−4.04500	+	35.9003i	−0.139235	+	1.23574i
$845$	19.9888	−	25.0651i	0.687635	−	0.862267i
$846$	2.68178	+	0.895995i	0.0922016	+	0.0308049i
$847$	−11.6016	+	24.0910i	−0.398635	+	0.827775i
$848$	−7.30004	+	5.82159i	−0.250684	+	0.199914i
$849$	−9.78182	+	13.9950i	−0.335711	+	0.480308i
$850$	3.19734	+	0.729771i	0.109668	+	0.0250309i
$851$	−11.7296	+	1.32161i	−0.402086	+	0.0453042i
$852$	−3.39082	+	20.8495i	−0.116168	+	0.714291i
$853$	3.39643	−	3.39643i	0.116292	−	0.116292i	−0.646566	−	0.762858i	$-0.723796\pi$
$853$	3.39643	−	3.39643i	0.116292	−	0.116292i	0.762858	+	0.646566i	$0.223796\pi$
$854$	−0.925244	−	4.05376i	−0.0316612	−	0.138717i
$855$	22.5885	−	48.6556i	0.772512	−	1.66399i
$856$	−8.86430	+	3.10175i	−0.302975	+	0.106016i
$857$	−13.6725	+	3.12066i	−0.467043	+	0.106600i	−0.449565	−	0.893248i	$-0.648421\pi$
$857$	−13.6725	+	3.12066i	−0.467043	+	0.106600i	−0.0174784	+	0.999847i	$0.505564\pi$
$858$	−0.190811	+	0.470041i	−0.00651419	+	0.0160470i
$859$	14.6725	+	9.21937i	0.500621	+	0.314561i	0.758563	−	0.651599i	$-0.225902\pi$
$859$	14.6725	+	9.21937i	0.500621	+	0.314561i	−0.257942	+	0.966160i	$0.583044\pi$
$860$	0.997983	+	8.85734i	0.0340309	+	0.302033i
$861$	−8.55639	−	48.2873i	−0.291601	−	1.64563i
$862$	−5.55125	+	3.48808i	−0.189076	+	0.118804i
$863$	−4.58422	−	5.74843i	−0.156049	−	0.195679i	0.697661	−	0.716428i	$-0.254224\pi$
$863$	−4.58422	−	5.74843i	−0.156049	−	0.195679i	−0.853710	+	0.520749i	$0.825653\pi$
$864$	−9.70915	+	9.05464i	−0.330312	+	0.308045i
$865$	18.5163	−	8.91700i	0.629574	−	0.303187i
$866$	−4.79564	−	3.82440i	−0.162963	−	0.129958i
$867$	−14.9119	−	50.4162i	−0.506434	−	1.71222i
$868$	7.92479	−	22.6478i	0.268985	−	0.768715i
$869$	5.15800			0.174973
$870$	4.67513	+	2.88295i	0.158502	+	0.0977412i
$871$	−3.61076			−0.122346
$872$	1.77561	−	5.07441i	0.0601298	−	0.171841i
$873$	6.72635	+	8.19391i	0.227653	+	0.277322i
$874$	2.34393	+	1.86922i	0.0792845	+	0.0632273i
$875$	−19.7141	+	9.49383i	−0.666460	+	0.320950i
$876$	21.1364	+	1.03699i	0.714133	+	0.0350366i
$877$	−18.8604	−	23.6502i	−0.636869	−	0.798609i	0.353738	−	0.935344i	$-0.384910\pi$
$877$	−18.8604	−	23.6502i	−0.636869	−	0.798609i	−0.990608	+	0.136736i	$0.956339\pi$
$878$	−4.60309	+	2.89232i	−0.155347	+	0.0976109i
$879$	6.25170	−	1.10779i	0.210864	−	0.0373647i
$880$	1.46377	+	12.9913i	0.0493437	+	0.437937i
$881$	−13.0855	−	8.22215i	−0.440861	−	0.277011i	0.293257	−	0.956034i	$-0.405261\pi$
$881$	−13.0855	−	8.22215i	−0.440861	−	0.277011i	−0.734117	+	0.679023i	$0.762404\pi$
$882$	−0.872019	+	0.0123443i	−0.0293624	+	0.000415653i
$883$	50.9226	−	11.6227i	1.71368	−	0.391136i	0.750686	−	0.660659i	$-0.229723\pi$
$883$	50.9226	−	11.6227i	1.71368	−	0.391136i	0.962994	+	0.269522i	$0.0868658\pi$
$884$	−12.8295	+	4.48922i	−0.431501	+	0.150989i
$885$	28.1673	+	31.0738i	0.946833	+	1.04453i
$886$	−1.00880	−	4.41983i	−0.0338912	−	0.148487i
$887$	−19.4189	+	19.4189i	−0.652023	+	0.652023i	−0.953480	−	0.301457i	$-0.902527\pi$
$887$	−19.4189	+	19.4189i	−0.652023	+	0.652023i	0.301457	+	0.953480i	$0.402527\pi$
$888$	−8.59636	−	1.39806i	−0.288475	−	0.0469158i
$889$	−4.82176	+	0.543282i	−0.161717	+	0.0182211i
$890$	8.64179	+	1.97243i	0.289673	+	0.0661161i
$891$	−9.84325	+	6.58075i	−0.329761	+	0.220463i
$892$	16.3482	−	13.0373i	0.547379	−	0.436520i
$893$	−12.4175	+	25.7852i	−0.415536	+	0.862870i
$894$	2.87101	+	2.52937i	0.0960210	+	0.0845949i
$895$	21.8615	−	27.4134i	0.730749	−	0.916330i
$896$	−2.13797	+	18.9750i	−0.0714244	+	0.633909i
$897$	−0.225831	−	3.56979i	−0.00754026	−	0.119192i
$898$		−	2.74384i		−	0.0915631i
$899$	−22.0458	+	6.38339i	−0.735270	+	0.212898i
$900$	8.84183	−	9.09575i	0.294728	−	0.303192i
$901$	16.3380	+	5.71692i	0.544298	+	0.190458i
$902$	2.82246	+	0.318015i	0.0939775	+	0.0105887i
$903$	−2.30178	+	8.20759i	−0.0765985	+	0.273131i
$904$	−3.52745	−	7.32482i	−0.117321	−	0.243620i
$905$	33.9100	+	16.3302i	1.12720	+	0.542833i
$906$	3.68874	+	2.00474i	0.122550	+	0.0666032i
$907$	−2.94025	−	4.67938i	−0.0976294	−	0.155376i	0.794338	−	0.607476i	$-0.207818\pi$
$907$	−2.94025	−	4.67938i	−0.0976294	−	0.155376i	−0.891967	+	0.452100i	$0.850675\pi$
$908$	3.21269	−	14.0757i	0.106617	−	0.467119i
$909$	−18.4397	+	23.8062i	−0.611606	+	0.789603i
$910$	0.914685	−	1.45571i	0.0303215	−	0.0482564i
$911$	10.5946	+	10.5946i	0.351016	+	0.351016i	0.860488	−	0.509471i	$-0.170159\pi$
$911$	10.5946	+	10.5946i	0.351016	+	0.351016i	−0.509471	+	0.860488i	$0.670159\pi$
$912$	−25.0982	−	34.8473i	−0.831083	−	1.15391i
$913$	6.13277	+	17.5264i	0.202965	+	0.580041i
$914$	−0.645552	−	1.84488i	−0.0213530	−	0.0610232i
$915$	17.7571	+	24.6547i	0.587032	+	0.815060i
$916$	35.6934	+	35.6934i	1.17934	+	1.17934i
$917$	2.99499	−	4.76650i	0.0989033	−	0.157404i
$918$	7.60252	+	2.01647i	0.250920	+	0.0665533i
$919$	−7.40955	+	32.4634i	−0.244418	+	1.07087i	0.692527	+	0.721392i	$0.256497\pi$
$919$	−7.40955	+	32.4634i	−0.244418	+	1.07087i	−0.936946	+	0.349475i	$0.886360\pi$
$920$	2.52616	+	4.02036i	0.0832850	+	0.132547i
$921$	0.356153	+	0.193561i	0.0117356	+	0.00637805i
$922$	−4.59343	−	2.21208i	−0.151277	−	0.0728510i
$923$	−2.74409	−	5.69816i	−0.0903228	−	0.187557i
$924$	−3.46410	+	12.3521i	−0.113961	+	0.406355i
$925$	12.4545	+	1.40329i	0.409503	+	0.0461399i
$926$	0.674569	+	0.236042i	0.0221677	+	0.00775681i
$927$	−42.3634	−	41.1808i	−1.39140	−	1.35255i
$928$	12.0332	−	6.67166i	0.395010	−	0.219008i
$929$		−	43.4532i		−	1.42565i	−0.701340	−	0.712827i	$-0.747415\pi$
$929$		−	43.4532i		−	1.42565i	0.701340	−	0.712827i	$-0.252585\pi$
$930$	−0.274447	−	4.33829i	−0.00899947	−	0.142258i
$931$	0.988344	−	8.77180i	0.0323917	−	0.287484i
$932$	−25.2484	+	31.6604i	−0.827037	+	1.03707i
$933$	−15.7812	−	13.9033i	−0.516653	−	0.455174i
$934$	−2.09762	+	4.35574i	−0.0686361	+	0.142524i
$935$	18.9485	−	15.1109i	0.619681	−	0.494179i
$936$	0.550796	−	2.58107i	0.0180033	−	0.0843651i
$937$	−3.11087	−	0.710036i	−0.101628	−	0.0231959i	0.171405	−	0.985201i	$-0.445169\pi$
$937$	−3.11087	−	0.710036i	−0.101628	−	0.0231959i	−0.273032	+	0.962005i	$0.588027\pi$
$938$	2.24959	−	0.253468i	0.0734518	−	0.00827604i
$939$	−24.4749	−	3.98045i	−0.798709	−	0.129897i
$940$	−15.8292	+	15.8292i	−0.516291	+	0.516291i
$941$	−0.795977	−	3.48740i	−0.0259481	−	0.113686i	0.960295	−	0.278985i	$-0.0899981\pi$
$941$	−0.795977	−	3.48740i	−0.0259481	−	0.113686i	−0.986243	+	0.165299i	$0.947141\pi$
$942$	−2.78450	−	3.07183i	−0.0907241	−	0.100085i
$943$	−18.9032	+	6.61451i	−0.615572	+	0.215398i
$944$	32.7338	−	7.47128i	1.06539	−	0.243169i
$945$	36.7385	−	16.1397i	1.19510	−	0.525025i
$946$	−0.418040	−	0.262672i	−0.0135917	−	0.00854021i
$947$	3.86229	+	34.2788i	0.125508	+	1.11391i	0.885715	+	0.464230i	$0.153669\pi$
$947$	3.86229	+	34.2788i	0.125508	+	1.11391i	−0.760207	+	0.649681i	$0.774903\pi$
$948$	−13.0496	+	2.31236i	−0.423831	+	0.0751019i
$949$	−5.36484	+	3.37095i	−0.174150	+	0.109426i
$950$	−1.98474	−	2.48879i	−0.0643935	−	0.0807469i
$951$	13.2829	+	0.651684i	0.430729	+	0.0211323i
$952$	15.5462	−	7.48668i	0.503857	−	0.242645i
$953$	19.9918	+	15.9429i	0.647597	+	0.516442i	0.891303	−	0.453407i	$-0.149792\pi$
$953$	19.9918	+	15.9429i	0.647597	+	0.516442i	−0.243706	+	0.969849i	$0.578363\pi$
$954$	−1.28298	+	1.05319i	−0.0415380	+	0.0340984i
$955$	−5.84121	+	16.6932i	−0.189017	+	0.540180i
$956$	7.96835			0.257715
$957$	11.5480	−	4.15029i	0.373293	−	0.134160i
$958$	1.18080			0.0381501
$959$	−2.92562	+	8.36093i	−0.0944731	+	0.269989i
$960$	−9.02447	−	30.5112i	−0.291263	−	0.984744i
$961$	−10.0353	−	8.00288i	−0.323719	−	0.258157i
$962$	1.16031	−	0.558776i	0.0374099	−	0.0180157i
$963$	30.4391	−	11.1372i	0.980887	−	0.358890i
$964$	26.2928	+	32.9702i	0.846835	+	1.06190i
$965$	−12.5119	+	7.86177i	−0.402774	+	0.253079i
$966$	0.391291	+	2.20822i	0.0125896	+	0.0710483i
$967$	1.03120	+	9.15211i	0.0331610	+	0.294312i	0.999336	+	0.0364260i	$0.0115973\pi$
$967$	1.03120	+	9.15211i	0.0331610	+	0.294312i	−0.966175	+	0.257886i	$0.916974\pi$
$968$	6.82208	+	4.28660i	0.219270	+	0.137776i
$969$	−29.9449	+	73.7657i	−0.961969	+	2.36970i
$970$	2.02870	−	0.463038i	0.0651377	−	0.0148673i
$971$	47.3064	−	16.5532i	1.51814	−	0.531218i	0.562762	−	0.826619i	$-0.309739\pi$
$971$	47.3064	−	16.5532i	1.51814	−	0.531218i	0.955373	+	0.295401i	$0.0954532\pi$
$972$	21.9530	−	21.0619i	0.704142	−	0.675561i
$973$	−2.21239	−	9.69313i	−0.0709261	−	0.310748i
$974$	5.12369	−	5.12369i	0.164174	−	0.164174i
$975$	−0.609671	+	3.74874i	−0.0195251	+	0.120056i
$976$	24.1711	−	2.72342i	0.773697	−	0.0871747i
$977$	20.2356	+	4.61865i	0.647394	+	0.147764i	0.533595	−	0.845740i	$-0.320841\pi$
$977$	20.2356	+	4.61865i	0.647394	+	0.147764i	0.113799	+	0.993504i	$0.463698\pi$
$978$	−0.813786	+	1.16430i	−0.0260220	+	0.0372302i
$979$	15.4830	−	12.3473i	0.494838	−	0.394620i
$980$	2.99580	−	6.22085i	0.0956974	−	0.198718i
$981$	−5.87973	+	17.5985i	−0.187725	+	0.561877i
$982$	−1.37153	+	1.71985i	−0.0437674	+	0.0548825i
$983$	−0.774551	+	6.87433i	−0.0247043	+	0.219257i	−0.999999	−	0.00165249i	$-0.999474\pi$
$983$	−0.774551	+	6.87433i	−0.0247043	+	0.219257i	0.975294	+	0.220910i	$0.0709026\pi$
$984$	−14.7472	+	0.932931i	−0.470124	+	0.0297408i
$985$			44.5459i			1.41935i
$986$	−7.13968	−	3.93345i	−0.227374	−	0.125266i
$987$	−19.7204	+	8.33245i	−0.627707	+	0.265225i
$988$	12.4528	+	4.35742i	0.396176	+	0.138628i
$989$	3.45929	+	0.389768i	0.109999	+	0.0123939i
$990$	0.292885	+	2.30561i	0.00930849	+	0.0732770i
$991$	−16.1623	−	33.5614i	−0.513414	−	1.06611i	−0.983064	−	0.183262i	$-0.941334\pi$
$991$	−16.1623	−	33.5614i	−0.513414	−	1.06611i	0.469651	−	0.882852i	$-0.344380\pi$
$992$	−9.81087	−	4.72467i	−0.311495	−	0.150008i
$993$	−12.4354	+	22.8811i	−0.394624	+	0.726110i
$994$	2.10964	+	3.35747i	0.0669137	+	0.106493i
$995$	13.6377	−	59.7508i	0.432345	−	1.89423i
$996$	−23.3729	−	41.5921i	−0.740600	−	1.31790i
$997$	22.5181	−	35.8374i	0.713155	−	1.13498i	−0.271830	−	0.962345i	$-0.587629\pi$
$997$	22.5181	−	35.8374i	0.713155	−	1.13498i	0.984986	−	0.172635i	$-0.0552281\pi$
$998$	2.28237	+	2.28237i	0.0722472	+	0.0722472i
$999$	29.7343	+	4.40474i	0.940752	+	0.139360i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	87.2.k.a.8.4	✓	96
3.2	odd	2	inner	87.2.k.a.8.5	yes	96
29.11	odd	28	inner	87.2.k.a.11.5	yes	96
87.11	even	28	inner	87.2.k.a.11.4	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
87.2.k.a.8.4	✓	96	1.1	even	1	trivial
87.2.k.a.8.5	yes	96	3.2	odd	2	inner
87.2.k.a.11.4	yes	96	87.11	even	28	inner
87.2.k.a.11.5	yes	96	29.11	odd	28	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 87 = 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	87.k (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0726507 + 0.207624i) q^{2} +(1.66092 - 0.491261i) q^{3} +(1.52583 + 1.21681i) q^{4} +(-2.41194 + 1.16153i) q^{5} +(-0.0186698 + 0.380537i) q^{6} +(-1.79859 - 2.25536i) q^{7} +(-0.735996 + 0.462457i) q^{8} +(2.51733 - 1.63189i) q^{9} +(-0.0659319 - 0.585161i) q^{10} +(-1.11395 - 0.699943i) q^{11} +(3.13206 + 1.27145i) q^{12} +(-0.986708 + 0.225210i) q^{13} +(0.598935 - 0.209576i) q^{14} +(-3.43543 + 3.11410i) q^{15} +(0.826004 + 3.61896i) q^{16} +(4.86592 - 4.86592i) q^{17} +(0.155934 + 0.641215i) q^{18} +(-6.63742 + 0.747857i) q^{19} +(-5.09358 - 1.16258i) q^{20} +(-4.09529 - 2.86240i) q^{21} +(0.226254 - 0.180432i) q^{22} +(-0.885333 + 1.83841i) q^{23} +(-0.995245 + 1.12967i) q^{24} +(1.35085 - 1.69391i) q^{25} +(0.0249261 - 0.221226i) q^{26} +(3.37940 - 3.94711i) q^{27} -5.62985i q^{28} +(-4.38774 + 3.12214i) q^{29} +(-0.396974 - 0.939518i) q^{30} +(4.02280 + 1.40764i) q^{31} +(-2.53891 - 0.286067i) q^{32} +(-2.19404 - 0.615310i) q^{33} +(0.656768 + 1.36379i) q^{34} +(6.95775 + 3.35068i) q^{35} +(5.82672 + 0.573117i) q^{36} +(3.07771 + 4.89815i) q^{37} +(0.326940 - 1.43242i) q^{38} +(-1.52821 + 0.858786i) q^{39} +(1.23802 - 1.97030i) q^{40} +(6.94014 + 6.94014i) q^{41} +(0.891828 - 0.642323i) q^{42} +(-0.563474 - 1.61032i) q^{43} +(-0.848008 - 2.42347i) q^{44} +(-4.17615 + 6.85997i) q^{45} +(-0.317378 - 0.317378i) q^{46} +(2.27961 - 3.62798i) q^{47} +(3.14978 + 5.60503i) q^{48} +(-0.294077 + 1.28843i) q^{49} +(0.253556 + 0.403532i) q^{50} +(5.69148 - 10.4723i) q^{51} +(-1.77959 - 0.857005i) q^{52} +(1.09138 + 2.26627i) q^{53} +(0.573998 + 0.988404i) q^{54} +(3.49979 + 0.394332i) q^{55} +(2.36676 + 0.828165i) q^{56} +(-10.6568 + 4.50283i) q^{57} +(-0.329458 - 1.13782i) q^{58} -9.04509i q^{59} +(-9.03116 + 0.571325i) q^{60} +(0.733676 - 6.51155i) q^{61} +(-0.584519 + 0.732963i) q^{62} +(-8.20814 - 2.74237i) q^{63} +(-2.97733 + 6.18248i) q^{64} +(2.11829 - 1.68928i) q^{65} +(0.287152 - 0.410833i) q^{66} +(3.47820 + 0.793877i) q^{67} +(13.3455 - 1.50368i) q^{68} +(-0.567330 + 3.48839i) q^{69} +(-1.20117 + 1.20117i) q^{70} +(1.39053 + 6.09230i) q^{71} +(-1.09806 + 2.36522i) q^{72} +(5.90904 - 2.06766i) q^{73} +(-1.24057 + 0.283152i) q^{74} +(1.41150 - 3.47707i) q^{75} +(-11.0376 - 6.93538i) q^{76} +(0.424921 + 3.77127i) q^{77} +(-0.0672790 - 0.379684i) q^{78} +(-3.31969 + 2.08590i) q^{79} +(-6.19579 - 7.76928i) q^{80} +(3.67386 - 8.21601i) q^{81} +(-1.94514 + 0.936731i) q^{82} +(-11.0348 - 8.79994i) q^{83} +(-2.76572 - 9.35074i) q^{84} +(-6.08439 + 17.3882i) q^{85} +0.375276 q^{86} +(-5.75391 + 7.34115i) q^{87} +1.14356 q^{88} +(-4.97161 + 14.2080i) q^{89} +(-1.12089 - 1.36545i) q^{90} +(2.28261 + 1.82032i) q^{91} +(-3.58787 + 1.72783i) q^{92} +(7.37308 + 0.361736i) q^{93} +(0.587639 + 0.736877i) q^{94} +(15.1404 - 9.51333i) q^{95} +(-4.35747 + 0.772134i) q^{96} +(0.395650 + 3.51149i) q^{97} +(-0.246145 - 0.154663i) q^{98} +(-3.94641 + 0.0558652i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) \) 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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