LMFDB - Embedded newform 99.2.p.a.68.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [99,2,Mod(2,99)] 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("99.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(99, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([5, 3])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, 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:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			68.2
Character	$\chi$	$=$	99.68
Dual form			99.2.p.a.83.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.41844 + 0.514054i) q^{2} +(1.33111 + 1.10822i) q^{3} +(3.75749 - 1.67294i) q^{4} +(0.425128 - 2.00007i) q^{5} +(-3.78889 - 1.99589i) q^{6} +(1.07838 + 0.113342i) q^{7} +(-4.22672 + 3.07089i) q^{8} +(0.543711 + 2.95032i) q^{9} +5.05558i q^{10} +(3.29101 + 0.411437i) q^{11} +(6.85561 + 1.93724i) q^{12} +(-0.826275 + 0.743982i) q^{13} +(-2.66625 + 0.280234i) q^{14} +(2.78241 - 2.19118i) q^{15} +(3.13907 - 3.48629i) q^{16} +(2.03372 + 6.25916i) q^{17} +(-2.83155 - 6.85566i) q^{18} +(-4.19112 - 5.76858i) q^{19} +(-1.74859 - 8.22645i) q^{20} +(1.30983 + 1.34595i) q^{21} +(-8.17059 + 0.696721i) q^{22} +(-4.70965 - 2.71912i) q^{23} +(-9.02945 - 0.596425i) q^{24} +(0.748176 + 0.333109i) q^{25} +(1.61585 - 2.22402i) q^{26} +(-2.54585 + 4.52975i) q^{27} +(4.24160 - 1.37818i) q^{28} +(0.774458 - 7.36848i) q^{29} +(-5.60268 + 6.72954i) q^{30} +(-0.793766 - 0.881566i) q^{31} +(-0.574983 + 0.995900i) q^{32} +(3.92473 + 4.19482i) q^{33} +(-8.13598 - 14.0919i) q^{34} +(0.685140 - 2.10865i) q^{35} +(6.97870 + 10.1762i) q^{36} +(0.780793 + 0.567279i) q^{37} +(13.1013 + 11.7965i) q^{38} +(-1.92436 + 0.0746298i) q^{39} +(4.34511 + 9.75927i) q^{40} +(-0.115443 - 1.09836i) q^{41} +(-3.85963 - 2.58176i) q^{42} +(-4.42893 + 2.55705i) q^{43} +(13.0542 - 3.95969i) q^{44} +(6.13199 + 0.166802i) q^{45} +(12.7877 + 4.15499i) q^{46} +(-1.74699 + 3.92381i) q^{47} +(8.04202 - 1.16187i) q^{48} +(-5.69698 - 1.21093i) q^{49} +(-1.98065 - 0.421000i) q^{50} +(-4.22939 + 10.5854i) q^{51} +(-1.86008 + 4.17781i) q^{52} +(-10.3556 - 3.36474i) q^{53} +(3.82844 - 12.2636i) q^{54} +(2.22200 - 6.40733i) q^{55} +(-4.90606 + 2.83251i) q^{56} +(0.813994 - 12.3233i) q^{57} +(1.91482 + 18.2183i) q^{58} +(-0.897232 - 2.01522i) q^{59} +(6.78913 - 12.8881i) q^{60} +(4.31301 + 3.88345i) q^{61} +(2.37284 + 1.72397i) q^{62} +(0.251931 + 3.24318i) q^{63} +(-2.02075 + 6.21923i) q^{64} +(1.13674 + 1.96890i) q^{65} +(-11.6481 - 8.12737i) q^{66} +(0.496739 - 0.860378i) q^{67} +(18.1129 + 20.1164i) q^{68} +(-3.25569 - 8.83875i) q^{69} +(-0.573009 + 5.45182i) q^{70} +(-6.12170 + 1.98906i) q^{71} +(-11.3582 - 10.8005i) q^{72} +(-0.486222 + 0.669227i) q^{73} +(-2.17991 - 0.970558i) q^{74} +(0.626747 + 1.27255i) q^{75} +(-25.3986 - 14.6639i) q^{76} +(3.50231 + 0.816693i) q^{77} +(4.61557 - 1.16971i) q^{78} +(-1.26766 - 5.96388i) q^{79} +(-5.63833 - 7.76049i) q^{80} +(-8.40876 + 3.20824i) q^{81} +(0.843809 + 2.59698i) q^{82} +(1.46775 - 1.63010i) q^{83} +(7.17336 + 2.86610i) q^{84} +(13.3834 - 1.40665i) q^{85} +(9.39663 - 8.46076i) q^{86} +(9.19676 - 8.94999i) q^{87} +(-15.1736 + 8.36730i) q^{88} +6.19738i q^{89} +(-14.9156 + 2.74878i) q^{90} +(-0.975360 + 0.708641i) q^{91} +(-22.2454 - 2.33808i) q^{92} +(-0.0796237 - 2.05313i) q^{93} +(2.20794 - 10.3875i) q^{94} +(-13.3193 + 5.93015i) q^{95} +(-1.86904 + 0.688447i) q^{96} +(9.31442 - 1.97984i) q^{97} +14.4003 q^{98} +(0.575486 + 9.93322i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−2.41844	+	0.514054i	−1.71009	+	0.363491i	−0.956020	−	0.293301i	$-0.905246\pi$
$2$	−2.41844	+	0.514054i	−1.71009	+	0.363491i	−0.754072	+	0.656792i	$0.771913\pi$
$3$	1.33111	+	1.10822i	0.768517	+	0.639829i
$3$	1.33111	+	1.10822i	0.768517	+	0.639829i
$4$	3.75749	−	1.67294i	1.87874	−	0.836470i
$5$	0.425128	−	2.00007i	0.190123	−	0.894459i	−0.774857	−	0.632136i	$-0.782178\pi$
$5$	0.425128	−	2.00007i	0.190123	−	0.894459i	0.964980	−	0.262323i	$-0.0844885\pi$
$6$	−3.78889	−	1.99589i	−1.54681	−	0.814818i
$7$	1.07838	+	0.113342i	0.407588	+	0.0428392i	0.306104	−	0.951998i	$-0.400974\pi$
$7$	1.07838	+	0.113342i	0.407588	+	0.0428392i	0.101484	+	0.994837i	$0.467641\pi$
$8$	−4.22672	+	3.07089i	−1.49437	+	1.08572i
$9$	0.543711	+	2.95032i	0.181237	+	0.983439i
$10$			5.05558i			1.59872i
$11$	3.29101	+	0.411437i	0.992276	+	0.124053i
$11$	3.29101	+	0.411437i	0.992276	+	0.124053i
$12$	6.85561	+	1.93724i	1.97904	+	0.559233i
$13$	−0.826275	+	0.743982i	−0.229168	+	0.206343i	−0.775713	−	0.631086i	$-0.782609\pi$
$13$	−0.826275	+	0.743982i	−0.229168	+	0.206343i	0.546545	+	0.837430i	$0.315943\pi$
$14$	−2.66625	+	0.280234i	−0.712585	+	0.0748957i
$15$	2.78241	−	2.19118i	0.718414	−	0.565761i
$16$	3.13907	−	3.48629i	0.784768	−	0.871573i
$17$	2.03372	+	6.25916i	0.493251	+	1.51807i	0.819665	+	0.572843i	$0.194159\pi$
$17$	2.03372	+	6.25916i	0.493251	+	1.51807i	−0.326415	+	0.945227i	$0.605841\pi$
$18$	−2.83155	−	6.85566i	−0.667404	−	1.61589i
$19$	−4.19112	−	5.76858i	−0.961508	−	1.32340i	−0.946221	−	0.323520i	$-0.895134\pi$
$19$	−4.19112	−	5.76858i	−0.961508	−	1.32340i	−0.0152869	−	0.999883i	$-0.504866\pi$
$20$	−1.74859	−	8.22645i	−0.390996	−	1.83949i
$21$	1.30983	+	1.34595i	0.285829	+	0.293709i
$22$	−8.17059	+	0.696721i	−1.74197	+	0.148541i
$23$	−4.70965	−	2.71912i	−0.982029	−	0.566975i	−0.0791471	−	0.996863i	$-0.525220\pi$
$23$	−4.70965	−	2.71912i	−0.982029	−	0.566975i	−0.902882	+	0.429888i	$0.858553\pi$
$24$	−9.02945	−	0.596425i	−1.84313	−	0.121745i
$25$	0.748176	+	0.333109i	0.149635	+	0.0666218i
$26$	1.61585	−	2.22402i	0.316894	−	0.436166i
$27$	−2.54585	+	4.52975i	−0.489949	+	0.871751i
$28$	4.24160	−	1.37818i	0.801587	−	0.260451i
$29$	0.774458	−	7.36848i	0.143813	−	1.36829i	−0.649909	−	0.760012i	$-0.725193\pi$
$29$	0.774458	−	7.36848i	0.143813	−	1.36829i	0.793723	−	0.608280i	$-0.208140\pi$
$30$	−5.60268	+	6.72954i	−1.02290	+	1.22864i
$31$	−0.793766	−	0.881566i	−0.142565	−	0.158334i	0.667634	−	0.744490i	$-0.267307\pi$
$31$	−0.793766	−	0.881566i	−0.142565	−	0.158334i	−0.810198	+	0.586156i	$0.800641\pi$
$32$	−0.574983	+	0.995900i	−0.101644	+	0.176052i
$33$	3.92473	+	4.19482i	0.683208	+	0.730224i
$34$	−8.13598	−	14.0919i	−1.39531	−	2.41675i
$35$	0.685140	−	2.10865i	0.115810	−	0.356426i
$36$	6.97870	+	10.1762i	1.16312	+	1.69603i
$37$	0.780793	+	0.567279i	0.128362	+	0.0932602i	0.650114	−	0.759837i	$-0.274721\pi$
$37$	0.780793	+	0.567279i	0.128362	+	0.0932602i	−0.521752	+	0.853097i	$0.674721\pi$
$38$	13.1013	+	11.7965i	2.12531	+	1.91364i
$39$	−1.92436	+	0.0746298i	−0.308144	+	0.0119503i
$40$	4.34511	+	9.75927i	0.687022	+	1.54308i
$41$	−0.115443	−	1.09836i	−0.0180291	−	0.171536i	0.981802	−	0.189907i	$-0.0608186\pi$
$41$	−0.115443	−	1.09836i	−0.0180291	−	0.171536i	−0.999831	+	0.0183712i	$0.994152\pi$
$42$	−3.85963	−	2.58176i	−0.595554	−	0.398374i
$43$	−4.42893	+	2.55705i	−0.675406	+	0.389946i	−0.798122	−	0.602496i	$-0.794173\pi$
$43$	−4.42893	+	2.55705i	−0.675406	+	0.389946i	0.122716	+	0.992442i	$0.460840\pi$
$44$	13.0542	−	3.95969i	1.96800	−	0.596945i
$45$	6.13199	+	0.166802i	0.914104	+	0.0248654i
$46$	12.7877	+	4.15499i	1.88545	+	0.612620i
$47$	−1.74699	+	3.92381i	−0.254825	+	0.572347i	−0.994978	−	0.100091i	$-0.968086\pi$
$47$	−1.74699	+	3.92381i	−0.254825	+	0.572347i	0.740153	+	0.672439i	$0.234753\pi$
$48$	8.04202	−	1.16187i	1.16077	−	0.167701i
$49$	−5.69698	−	1.21093i	−0.813855	−	0.172990i
$50$	−1.98065	−	0.421000i	−0.280106	−	0.0595384i
$51$	−4.22939	+	10.5854i	−0.592233	+	1.48226i
$52$	−1.86008	+	4.17781i	−0.257947	+	0.579358i
$53$	−10.3556	−	3.36474i	−1.42245	−	0.462183i	−0.506072	−	0.862491i	$-0.668903\pi$
$53$	−10.3556	−	3.36474i	−1.42245	−	0.462183i	−0.916380	+	0.400308i	$0.868903\pi$
$54$	3.82844	−	12.2636i	0.520985	−	1.66887i
$55$	2.22200	−	6.40733i	0.299615	−	0.863965i
$56$	−4.90606	+	2.83251i	−0.655600	+	0.378511i
$57$	0.813994	−	12.3233i	0.107816	−	1.63226i
$58$	1.91482	+	18.2183i	0.251428	+	2.39218i
$59$	−0.897232	−	2.01522i	−0.116810	−	0.262359i	0.845673	−	0.533701i	$-0.179199\pi$
$59$	−0.897232	−	2.01522i	−0.116810	−	0.262359i	−0.962483	+	0.271342i	$0.912533\pi$
$60$	6.78913	−	12.8881i	0.876473	−	1.66385i
$61$	4.31301	+	3.88345i	0.552225	+	0.497225i	0.897343	−	0.441334i	$-0.145495\pi$
$61$	4.31301	+	3.88345i	0.552225	+	0.497225i	−0.345118	+	0.938559i	$0.612161\pi$
$62$	2.37284	+	1.72397i	0.301352	+	0.218945i
$63$	0.251931	+	3.24318i	0.0317403	+	0.408602i
$64$	−2.02075	+	6.21923i	−0.252594	+	0.777404i
$65$	1.13674	+	1.96890i	0.140996	+	0.244212i
$66$	−11.6481	−	8.12737i	−1.43378	−	1.00041i
$67$	0.496739	−	0.860378i	0.0606864	−	0.105112i	−0.834086	−	0.551634i	$-0.814004\pi$
$67$	0.496739	−	0.860378i	0.0606864	−	0.105112i	0.894772	+	0.446523i	$0.147338\pi$
$68$	18.1129	+	20.1164i	2.19651	+	2.43947i
$69$	−3.25569	−	8.83875i	−0.391939	−	1.06406i
$70$	−0.573009	+	5.45182i	−0.0684877	+	0.651617i
$71$	−6.12170	+	1.98906i	−0.726512	+	0.236058i	−0.648844	−	0.760921i	$-0.724747\pi$
$71$	−6.12170	+	1.98906i	−0.726512	+	0.236058i	−0.0776676	+	0.996979i	$0.524747\pi$
$72$	−11.3582	−	10.8005i	−1.33858	−	1.27285i
$73$	−0.486222	+	0.669227i	−0.0569080	+	0.0783271i	−0.836523	−	0.547933i	$-0.815415\pi$
$73$	−0.486222	+	0.669227i	−0.0569080	+	0.0783271i	0.779615	+	0.626260i	$0.215415\pi$
$74$	−2.17991	−	0.970558i	−0.253409	−	0.112825i
$75$	0.626747	+	1.27255i	0.0723705	+	0.146941i
$76$	−25.3986	−	14.6639i	−2.91341	−	1.68206i
$77$	3.50231	+	0.816693i	0.399125	+	0.0930708i
$78$	4.61557	−	1.16971i	0.522610	−	0.132444i
$79$	−1.26766	−	5.96388i	−0.142623	−	0.670989i	−0.990124	−	0.140195i	$-0.955227\pi$
$79$	−1.26766	−	5.96388i	−0.142623	−	0.670989i	0.847501	−	0.530794i	$-0.178106\pi$
$80$	−5.63833	−	7.76049i	−0.630384	−	0.867649i
$81$	−8.40876	+	3.20824i	−0.934306	+	0.356471i
$82$	0.843809	+	2.59698i	0.0931831	+	0.286788i
$83$	1.46775	−	1.63010i	0.161106	−	0.178927i	−0.657187	−	0.753728i	$-0.728254\pi$
$83$	1.46775	−	1.63010i	0.161106	−	0.178927i	0.818293	+	0.574801i	$0.194920\pi$
$84$	7.17336	+	2.86610i	0.782678	+	0.312717i
$85$	13.3834	−	1.40665i	1.45163	−	0.152572i
$86$	9.39663	−	8.46076i	1.01326	−	0.912347i
$87$	9.19676	−	8.94999i	0.985996	−	0.959540i
$88$	−15.1736	+	8.36730i	−1.61752	+	0.891957i
$89$			6.19738i			0.656921i	0.944518	+	0.328460i	$0.106530\pi$
$89$			6.19738i			0.656921i	−0.944518	+	0.328460i	$0.893470\pi$
$90$	−14.9156	+	2.74878i	−1.57224	+	0.289747i
$91$	−0.975360	+	0.708641i	−0.102246	+	0.0742857i
$92$	−22.2454	−	2.33808i	−2.31924	−	0.243762i
$93$	−0.0796237	−	2.05313i	−0.00825659	−	0.212899i
$94$	2.20794	−	10.3875i	0.227732	−	1.07139i
$95$	−13.3193	+	5.93015i	−1.36653	+	0.608420i
$96$	−1.86904	+	0.688447i	−0.190758	+	0.0702643i
$97$	9.31442	−	1.97984i	0.945736	−	0.201022i	0.290866	−	0.956764i	$-0.406057\pi$
$97$	9.31442	−	1.97984i	0.945736	−	0.201022i	0.654870	+	0.755742i	$0.272723\pi$
$98$	14.4003			1.45465
$99$	0.575486	+	9.93322i	0.0578385	+	0.998326i
$100$	3.36853			0.336853
$101$	3.48402	−	0.740552i	0.346673	−	0.0736876i	−0.0312846	−	0.999511i	$-0.509960\pi$
$101$	3.48402	−	0.740552i	0.346673	−	0.0736876i	0.377958	+	0.925823i	$0.376626\pi$
$102$	4.78702	−	27.7743i	0.473986	−	2.75007i
$103$	4.81204	−	2.14246i	0.474145	−	0.211103i	−0.155730	−	0.987800i	$-0.549773\pi$
$103$	4.81204	−	2.14246i	0.474145	−	0.211103i	0.629875	+	0.776697i	$0.283106\pi$
$104$	1.20775	−	5.68201i	0.118429	−	0.557167i
$105$	3.24883	−	2.04756i	0.317054	−	0.199821i
$106$	26.7740	+	2.81406i	2.60052	+	0.273326i
$107$	−8.88743	+	6.45709i	−0.859180	+	0.624231i	−0.927662	−	0.373422i	$-0.878185\pi$
$107$	−8.88743	+	6.45709i	−0.859180	+	0.624231i	0.0684817	+	0.997652i	$0.478185\pi$
$108$	−1.98800	+	21.2795i	−0.191295	+	2.04762i
$109$			2.65252i			0.254065i	0.991899	+	0.127033i	$0.0405453\pi$
$109$			2.65252i			0.254065i	−0.991899	+	0.127033i	$0.959455\pi$
$110$	−2.08006	+	16.6380i	−0.198326	+	1.58637i
$111$	0.410654	+	1.62040i	0.0389775	+	0.153802i
$112$	3.78025	−	3.40375i	0.357200	−	0.321624i
$113$	9.21722	−	0.968769i	0.867083	−	0.0911341i	0.339468	−	0.940618i	$-0.389753\pi$
$113$	9.21722	−	0.968769i	0.867083	−	0.0911341i	0.527615	+	0.849484i	$0.323086\pi$
$114$	4.36625	+	30.2215i	0.408936	+	2.83050i
$115$	−7.44063	+	8.26366i	−0.693842	+	0.770590i
$116$	−9.41701	−	28.9826i	−0.874347	−	2.69096i
$117$	−2.64424	−	2.03326i	−0.244460	−	0.187975i
$118$	3.20583	+	4.41245i	0.295121	+	0.406199i
$119$	1.48370	+	6.98024i	0.136010	+	0.639877i
$120$	−5.03157	+	17.8060i	−0.459317	+	1.62546i
$121$	10.6614	+	2.70809i	0.969222	+	0.246190i
$122$	−12.4270	−	7.17476i	−1.12509	−	0.649572i
$123$	1.06356	−	1.58998i	0.0958978	−	0.143364i
$124$	−4.45737	−	1.98455i	−0.400284	−	0.178218i
$125$	6.99369	−	9.62600i	0.625535	−	0.860975i
$126$	−2.27645	−	7.71391i	−0.202802	−	0.687210i
$127$	−11.0254	+	3.58238i	−0.978349	+	0.317885i	−0.754182	−	0.656666i	$-0.771966\pi$
$127$	−11.0254	+	3.58238i	−0.978349	+	0.317885i	−0.224167	+	0.974551i	$0.571966\pi$
$128$	1.93044	−	18.3669i	0.170629	−	1.62342i
$129$	−8.72916	−	1.50451i	−0.768560	−	0.132464i
$130$	−3.76126	−	4.17730i	−0.329884	−	0.366374i
$131$	−5.18051	+	8.97291i	−0.452624	+	0.783967i	−0.998548	−	0.0538672i	$-0.982845\pi$
$131$	−5.18051	+	8.97291i	−0.452624	+	0.783967i	0.545924	+	0.837834i	$0.316179\pi$
$132$	21.7648	+	9.19612i	1.89438	+	0.800420i
$133$	−3.86578	−	6.69573i	−0.335206	−	0.580593i
$134$	−0.759051	+	2.33612i	−0.0655720	+	0.201810i
$135$	7.97751	+	7.01761i	0.686595	+	0.603980i
$136$	−27.8172	−	20.2104i	−2.38531	−	1.73303i
$137$	−0.217988	−	0.196277i	−0.0186240	−	0.0167691i	0.659766	−	0.751471i	$-0.270655\pi$
$137$	−0.217988	−	0.196277i	−0.0186240	−	0.0167691i	−0.678390	+	0.734702i	$0.737322\pi$
$138$	12.4173	+	19.7024i	1.05703	+	1.67718i
$139$	0.847460	+	1.90343i	0.0718806	+	0.161447i	0.945912	−	0.324422i	$-0.105170\pi$
$139$	0.847460	+	1.90343i	0.0718806	+	0.161447i	−0.874032	+	0.485869i	$0.838503\pi$
$140$	−0.953233	−	9.06940i	−0.0805629	−	0.766505i
$141$	−6.67388	+	3.28698i	−0.562042	+	0.276814i
$142$	13.7824	−	7.95730i	1.15660	−	0.667762i
$143$	−3.02538	+	2.10849i	−0.252995	+	0.176321i
$144$	11.9924	+	7.36573i	0.999369	+	0.613810i
$145$	−14.4082	−	4.68152i	−1.19654	−	0.388779i
$146$	0.831878	−	1.86843i	0.0688467	−	0.154632i
$147$	−6.24134	−	7.92538i	−0.514777	−	0.653674i
$148$	3.88284	+	0.825324i	0.319168	+	0.0678412i
$149$	16.3836	+	3.48245i	1.34220	+	0.285293i	0.822358	−	0.568970i	$-0.192658\pi$
$149$	16.3836	+	3.48245i	1.34220	+	0.285293i	0.519841	+	0.854263i	$0.325991\pi$
$150$	−2.16991	−	2.75539i	−0.177172	−	0.224976i
$151$	3.94131	−	8.85234i	0.320740	−	0.720393i	−0.679168	−	0.733983i	$-0.737659\pi$
$151$	3.94131	−	8.85234i	0.320740	−	0.720393i	0.999908	+	0.0135899i	$0.00432593\pi$
$152$	35.4294	+	11.5117i	2.87370	+	0.933723i
$153$	−17.3608	+	9.40331i	−1.40353	+	0.760213i
$154$	−8.88994	−	0.174742i	−0.716371	−	0.0140811i
$155$	−2.10065	+	1.21281i	−0.168728	+	0.0974152i
$156$	−7.10589	+	3.49975i	−0.568927	+	0.280205i
$157$	−0.308374	−	2.93399i	−0.0246110	−	0.234158i	−0.999912	−	0.0132772i	$-0.995774\pi$
$157$	−0.308374	−	2.93399i	−0.0246110	−	0.234158i	0.975301	−	0.220880i	$-0.0708931\pi$
$158$	6.13152	+	13.7716i	0.487797	+	1.09561i
$159$	−10.0556	−	15.9551i	−0.797461	−	1.26532i
$160$	1.74743	+	1.57339i	0.138146	+	0.124388i
$161$	−4.77058	−	3.46603i	−0.375975	−	0.273162i
$162$	18.6868	−	12.0815i	1.46818	−	0.949211i
$163$	6.82701	−	21.0114i	0.534733	−	1.64574i	−0.209493	−	0.977810i	$-0.567181\pi$
$163$	6.82701	−	21.0114i	0.534733	−	1.64574i	0.744226	−	0.667928i	$-0.232819\pi$
$164$	−2.27127	−	3.93396i	−0.177357	−	0.307190i
$165$	10.0584	−	6.06641i	0.783049	−	0.472269i
$166$	−2.71170	+	4.69680i	−0.210469	+	0.364542i
$167$	−7.79845	−	8.66106i	−0.603462	−	0.670213i	0.361570	−	0.932345i	$-0.382241\pi$
$167$	−7.79845	−	8.66106i	−0.603462	−	0.670213i	−0.965032	+	0.262132i	$0.915574\pi$
$168$	−9.66955	−	1.66659i	−0.746022	−	0.128580i
$169$	−1.22965	+	11.6993i	−0.0945883	+	0.899948i
$170$	−31.6437	+	10.2817i	−2.42696	+	0.788567i
$171$	14.7404	−	15.5016i	1.12723	−	1.18543i
$172$	−12.3639	+	17.0174i	−0.942736	+	1.29756i
$173$	10.9952	+	4.89540i	0.835953	+	0.372190i	0.779644	−	0.626223i	$-0.215400\pi$
$173$	10.9952	+	4.89540i	0.835953	+	0.372190i	0.0563092	+	0.998413i	$0.482067\pi$
$174$	−17.6410	+	26.3726i	−1.33736	+	1.99930i
$175$	0.769060	+	0.444017i	0.0581354	+	0.0335645i
$176$	11.7651	−	10.1819i	0.886828	−	0.767488i
$177$	1.03898	−	3.67680i	0.0780946	−	0.276366i
$178$	−3.18579	−	14.9880i	−0.238785	−	1.12340i
$179$	−1.69252	−	2.32955i	−0.126505	−	0.174119i	0.741067	−	0.671431i	$-0.234320\pi$
$179$	−1.69252	−	2.32955i	−0.126505	−	0.174119i	−0.867571	+	0.497313i	$0.834320\pi$
$180$	23.3199	−	9.63171i	1.73817	−	0.717905i
$181$	7.23838	+	22.2775i	0.538025	+	1.65587i	0.737021	+	0.675870i	$0.236232\pi$
$181$	7.23838	+	22.2775i	0.538025	+	1.65587i	−0.198996	+	0.980000i	$0.563768\pi$
$182$	1.99457	−	2.21519i	0.147847	−	0.164201i
$183$	1.43739	+	9.94906i	0.106255	+	0.735455i
$184$	28.2565	−	2.96988i	2.08310	−	0.218942i
$185$	1.46654	−	1.32048i	0.107822	−	0.0970833i
$186$	1.24798	+	4.92442i	0.0915066	+	0.361076i
$187$	4.11775	+	21.4357i	0.301119	+	1.56753i
$188$			17.6663i			1.28845i
$189$	−3.25880	+	4.59622i	−0.237043	+	0.334326i
$190$	29.1635	−	21.1885i	2.11574	−	1.53718i
$191$	0.815807	+	0.0857448i	0.0590297	+	0.00620428i	0.133997	−	0.990982i	$-0.457219\pi$
$191$	0.815807	+	0.0857448i	0.0590297	+	0.00620428i	−0.0749675	+	0.997186i	$0.523885\pi$
$192$	−9.58210	+	6.03906i	−0.691529	+	0.435832i
$193$	−2.96036	+	13.9274i	−0.213091	+	1.00252i	0.733403	+	0.679794i	$0.237931\pi$
$193$	−2.96036	+	13.9274i	−0.213091	+	1.00252i	−0.946494	+	0.322721i	$0.895402\pi$
$194$	−21.5086	+	9.57623i	−1.54422	+	0.687533i
$195$	−0.668834	+	3.88058i	−0.0478962	+	0.277894i
$196$	−23.4322	+	4.98066i	−1.67373	+	0.355761i
$197$	13.4127			0.955618			0.477809	−	0.878464i	$-0.341431\pi$
$197$	13.4127			0.955618			0.477809	+	0.878464i	$0.341431\pi$
$198$	−6.49799	−	23.7270i	−0.461792	−	1.68621i
$199$	21.2586			1.50698			0.753489	−	0.657460i	$-0.228369\pi$
$199$	21.2586			1.50698			0.753489	+	0.657460i	$0.228369\pi$
$200$	−4.18527	+	0.889607i	−0.295944	+	0.0629047i
$201$	1.61470	−	0.594763i	0.113892	−	0.0419514i
$202$	−8.04520	+	3.58195i	−0.566058	+	0.252025i
$203$	1.67031	−	7.85821i	0.117233	−	0.551538i
$204$	1.81693	+	46.8502i	0.127210	+	3.28017i
$205$	−2.24588	−	0.236052i	−0.156859	−	0.0164866i
$206$	−10.5363	+	7.65505i	−0.734097	+	0.533353i
$207$	5.46157	−	15.3734i	0.379605	−	1.06852i
$208$			5.21605i			0.361668i
$209$	−11.4196	−	20.7088i	−0.789909	−	1.43246i
$210$	−6.80454	+	6.62196i	−0.469558	+	0.456959i
$211$	11.0990	−	9.99357i	0.764086	−	0.687986i	−0.191895	−	0.981415i	$-0.561463\pi$
$211$	11.0990	−	9.99357i	0.764086	−	0.687986i	0.955981	+	0.293429i	$0.0947966\pi$
$212$	−44.5401	+	4.68135i	−3.05902	+	0.321516i
$213$	−10.3530	−	4.13651i	−0.709374	−	0.283429i
$214$	18.1744	−	20.1847i	1.24237	−	1.37980i
$215$	3.23141	+	9.94525i	0.220380	+	0.678261i
$216$	−3.14977	−	26.9640i	−0.214315	−	1.83467i
$217$	−0.756060	−	1.04063i	−0.0513247	−	0.0706424i
$218$	−1.36354	−	6.41494i	−0.0923504	−	0.434475i
$219$	−1.38886	+	0.351976i	−0.0938508	+	0.0237844i
$220$	−2.36994	−	27.7927i	−0.159781	−	1.87379i
$221$	−6.33712	−	3.65874i	−0.426280	−	0.246113i
$222$	−1.82611	−	3.70773i	−0.122561	−	0.248847i
$223$	−22.9039	−	10.1975i	−1.53376	−	0.682872i	−0.545844	−	0.837887i	$-0.683791\pi$
$223$	−22.9039	−	10.1975i	−1.53376	−	0.682872i	−0.987912	+	0.155015i	$0.950457\pi$
$224$	−0.732925	+	1.00879i	−0.0489706	+	0.0674023i
$225$	−0.575987	+	2.38847i	−0.0383991	+	0.159231i
$226$	−21.7932	+	7.08105i	−1.44966	+	0.471025i
$227$	0.305215	−	2.90393i	0.0202578	−	0.192740i	−0.979713	−	0.200407i	$-0.935774\pi$
$227$	0.305215	−	2.90393i	0.0202578	−	0.192740i	0.999971	+	0.00766639i	$0.00244031\pi$
$228$	−17.5576	−	47.6663i	−1.16278	−	3.15678i
$229$	−2.24082	−	2.48868i	−0.148077	−	0.164456i	0.664543	−	0.747250i	$-0.268626\pi$
$229$	−2.24082	−	2.48868i	−0.148077	−	0.164456i	−0.812620	+	0.582794i	$0.801960\pi$
$230$	13.7467	−	23.8100i	0.906432	−	1.56999i
$231$	3.75689	+	4.96843i	0.247185	+	0.326899i
$232$	19.3544	+	33.5228i	1.27068	+	2.20088i
$233$	−3.74639	+	11.5302i	−0.245434	+	0.755369i	0.750131	+	0.661290i	$0.229991\pi$
$233$	−3.74639	+	11.5302i	−0.245434	+	0.755369i	−0.995565	+	0.0940790i	$0.970009\pi$
$234$	7.44013	+	3.55803i	0.486376	+	0.232596i
$235$	7.10521	+	5.16224i	0.463493	+	0.336747i
$236$	−6.74268	−	6.07113i	−0.438911	−	0.395197i
$237$	4.92187	−	9.34343i	0.319710	−	0.606921i
$238$	−7.17644	−	16.1186i	−0.465180	−	1.04481i
$239$	0.710369	+	6.75871i	0.0459499	+	0.437184i	0.993177	+	0.116620i	$0.0372059\pi$
$239$	0.710369	+	6.75871i	0.0459499	+	0.437184i	−0.947227	+	0.320565i	$0.896127\pi$
$240$	1.09507	−	16.5786i	0.0706864	−	1.07014i
$241$	−2.82339	+	1.63009i	−0.181871	+	0.105003i	−0.588171	−	0.808736i	$-0.700152\pi$
$241$	−2.82339	+	1.63009i	−0.181871	+	0.105003i	0.406301	+	0.913739i	$0.366819\pi$
$242$	−27.1761	−	1.06877i	−1.74695	−	0.0687032i
$243$	−14.7484	−	5.04820i	−0.946111	−	0.323842i
$244$	22.7029	+	7.37661i	1.45340	+	0.472239i
$245$	−4.84390	+	10.8796i	−0.309465	+	0.695070i
$246$	−1.75481	+	4.39199i	−0.111883	+	0.280023i
$247$	7.75473	+	1.64832i	0.493422	+	0.104880i
$248$	6.06222	+	1.28857i	0.384952	+	0.0818240i
$249$	3.76024	−	0.543260i	0.238296	−	0.0344277i
$250$	−11.9655	+	26.8750i	−0.756766	+	1.69972i
$251$	11.6389	+	3.78172i	0.734643	+	0.238700i	0.652360	−	0.757909i	$-0.273779\pi$
$251$	11.6389	+	3.78172i	0.734643	+	0.238700i	0.0822830	+	0.996609i	$0.473779\pi$
$252$	6.37227	+	11.7647i	0.401415	+	0.741109i
$253$	−14.3807	−	10.8864i	−0.904109	−	0.684419i
$254$	24.8227	−	14.3314i	1.55752	−	0.899233i
$255$	19.3736	+	12.9593i	1.21322	+	0.811540i
$256$	3.40586	+	32.4046i	0.212867	+	2.02529i
$257$	−6.47139	−	14.5350i	−0.403674	−	0.906667i	−0.994966	−	0.100209i	$-0.968049\pi$
$257$	−6.47139	−	14.5350i	−0.403674	−	0.906667i	0.591292	−	0.806457i	$-0.298618\pi$
$258$	21.8843	−	0.848710i	1.36246	−	0.0528384i
$259$	0.777692	+	0.700237i	0.0483235	+	0.0435106i
$260$	7.56514	+	5.49640i	0.469170	+	0.340872i
$261$	22.1604	−	1.72143i	1.37170	−	0.106554i
$262$	7.91617	−	24.3635i	0.489063	−	1.50518i
$263$	5.95707	+	10.3180i	0.367329	+	0.636232i	0.989147	−	0.146929i	$-0.0469390\pi$
$263$	5.95707	+	10.3180i	0.367329	+	0.636232i	−0.621818	+	0.783162i	$0.713606\pi$
$264$	−29.4706	−	5.67789i	−1.81379	−	0.349450i
$265$	−11.1322	+	19.2815i	−0.683845	+	1.18445i
$266$	12.7911	+	14.2060i	0.784273	+	0.871024i
$267$	−6.86804	+	8.24940i	−0.420317	+	0.504855i
$268$	0.427130	−	4.06387i	0.0260911	−	0.248241i
$269$	24.0428	−	7.81198i	1.46592	−	0.476305i	0.536045	−	0.844190i	$-0.319918\pi$
$269$	24.0428	−	7.81198i	1.46592	−	0.476305i	0.929872	+	0.367884i	$0.119918\pi$
$270$	−22.9005	−	12.8708i	−1.39368	−	0.783290i
$271$	4.66877	−	6.42601i	0.283608	−	0.390352i	−0.643317	−	0.765600i	$-0.722442\pi$
$271$	4.66877	−	6.42601i	0.283608	−	0.390352i	0.926925	+	0.375248i	$0.122442\pi$
$272$	28.2053	+	12.5578i	1.71020	+	0.761428i
$273$	−2.08364	−	0.137631i	−0.126108	−	0.00832982i
$274$	0.628087	+	0.362626i	0.0379441	+	0.0219070i
$275$	2.32520	+	1.40409i	0.140215	+	0.0846699i
$276$	−27.0199	−	27.7649i	−1.62641	−	1.67125i
$277$	1.99496	+	9.38557i	0.119866	+	0.563924i	0.996560	+	0.0828758i	$0.0264105\pi$
$277$	1.99496	+	9.38557i	0.119866	+	0.563924i	−0.876694	+	0.481048i	$0.840256\pi$
$278$	−3.02799	−	4.16767i	−0.181607	−	0.249960i
$279$	2.16932	−	2.82118i	0.129874	−	0.168900i
$280$	3.57953	+	11.0167i	0.213918	+	0.658371i
$281$	−12.1424	+	13.4855i	−0.724355	+	0.804478i	−0.987052	−	0.160400i	$-0.948722\pi$
$281$	−12.1424	+	13.4855i	−0.724355	+	0.804478i	0.262697	+	0.964878i	$0.415388\pi$
$282$	14.4507	−	11.3801i	0.860524	−	0.677675i
$283$	−19.2952	+	2.02800i	−1.14698	+	0.120552i	−0.658888	−	0.752241i	$-0.728973\pi$
$283$	−19.2952	+	2.02800i	−1.14698	+	0.120552i	−0.488090	+	0.872793i	$0.662306\pi$
$284$	−19.6746	+	17.7151i	−1.16747	+	1.05120i
$285$	−24.3014	−	6.86702i	−1.43949	−	0.406767i
$286$	6.23280	−	6.65445i	0.368553	−	0.393486i
$287$		−	1.19753i		−	0.0706882i
$288$	−3.25085	−	1.15490i	−0.191558	−	0.0680532i
$289$	−21.2878	+	15.4665i	−1.25222	+	0.909792i
$290$	37.2519	+	3.91534i	2.18751	+	0.229916i
$291$	14.5926	+	7.68700i	0.855434	+	0.450620i
$292$	−0.707395	+	3.32803i	−0.0413972	+	0.194758i
$293$	14.0529	−	6.25674i	0.820978	−	0.365523i	0.0471254	−	0.998889i	$-0.484994\pi$
$293$	14.0529	−	6.25674i	0.820978	−	0.365523i	0.773852	+	0.633366i	$0.218327\pi$
$294$	19.1684	+	15.9586i	1.11792	+	0.930726i
$295$	−4.41202	+	0.937803i	−0.256878	+	0.0546010i
$296$	−5.04225			−0.293075
$297$	−10.2421	+	13.8600i	−0.594308	+	0.804237i
$298$	−41.4129			−2.39899
$299$	5.91444	−	1.25715i	0.342041	−	0.0727030i
$300$	4.48389	+	3.73306i	0.258877	+	0.215528i
$301$	−5.06588	+	2.25547i	−0.291992	+	0.130003i
$302$	−4.98123	+	23.4348i	−0.286638	+	1.34852i
$303$	5.45831	+	2.87529i	0.313572	+	0.165181i
$304$	−33.2672	−	3.49652i	−1.90800	−	0.200539i
$305$	9.60077	−	6.97537i	0.549738	−	0.399408i
$306$	37.1520	−	31.6657i	2.12384	−	1.81021i
$307$			5.86988i			0.335012i	0.985871	+	0.167506i	$0.0535713\pi$
$307$			5.86988i			0.335012i	−0.985871	+	0.167506i	$0.946429\pi$
$308$	14.5262	−	2.79044i	0.827705	−	0.159000i
$309$	8.77967	+	2.48094i	0.499458	+	0.141136i
$310$	4.45683	−	4.01295i	0.253131	−	0.227920i
$311$	26.3050	−	2.76477i	1.49162	−	0.156776i	0.676661	−	0.736295i	$-0.263426\pi$
$311$	26.3050	−	2.76477i	1.49162	−	0.156776i	0.814958	+	0.579519i	$0.196760\pi$
$312$	7.90454	−	6.22493i	0.447507	−	0.352417i
$313$	5.19128	−	5.76550i	0.293428	−	0.325885i	−0.578347	−	0.815791i	$-0.696302\pi$
$313$	5.19128	−	5.76550i	0.293428	−	0.325885i	0.871776	+	0.489906i	$0.162969\pi$
$314$	2.25401	+	6.93714i	0.127201	+	0.391485i
$315$	6.59369	+	0.874888i	0.371513	+	0.0492943i
$316$	−14.7404	−	20.2885i	−0.829214	−	1.14132i
$317$	−1.28282	−	6.03520i	−0.0720505	−	0.338971i	0.927327	−	0.374252i	$-0.122101\pi$
$317$	−1.28282	−	6.03520i	−0.0720505	−	0.338971i	−0.999377	+	0.0352814i	$0.988767\pi$
$318$	32.5206	+	33.4173i	1.82367	+	1.87395i
$319$	5.58041	−	23.9311i	0.312443	−	1.33988i
$320$	11.5798	+	6.68562i	0.647332	+	0.373738i
$321$	−18.9860	−	1.25409i	−1.05970	−	0.0699964i
$322$	13.3191	+	5.93003i	0.742243	+	0.330468i
$323$	27.5829	−	37.9646i	1.53475	−	2.11241i
$324$	−26.2286	+	26.1223i	−1.45714	+	1.45124i
$325$	−0.866026	+	0.281389i	−0.0480385	+	0.0156086i
$326$	−5.70969	+	54.3241i	−0.316231	+	3.00873i
$327$	−2.93956	+	3.53079i	−0.162558	+	0.195253i
$328$	3.86090	+	4.28797i	0.213183	+	0.236763i
$329$	−2.32865	+	4.03334i	−0.128383	+	0.222365i
$330$	−21.2072	+	19.8418i	−1.16742	+	1.09226i
$331$	8.44643	+	14.6297i	0.464258	+	0.804118i	0.999168	−	0.0407908i	$-0.0129877\pi$
$331$	8.44643	+	14.6297i	0.464258	+	0.804118i	−0.534910	+	0.844909i	$0.679654\pi$
$332$	2.78799	−	8.58054i	0.153011	−	0.470918i
$333$	−1.24913	+	2.61202i	−0.0684518	+	0.143138i
$334$	23.3123	+	16.9374i	1.27559	+	0.926772i
$335$	−1.50964	−	1.35929i	−0.0824804	−	0.0742657i
$336$	8.80402	−	0.341435i	0.480298	−	0.0186268i
$337$	−12.2712	−	27.5616i	−0.668456	−	1.50138i	−0.854835	−	0.518899i	$-0.826342\pi$
$337$	−12.2712	−	27.5616i	−0.668456	−	1.50138i	0.186379	−	0.982478i	$-0.440325\pi$
$338$	−3.04026	−	28.9261i	−0.165368	−	1.57337i
$339$	13.3427	+	8.92514i	0.724678	+	0.484747i
$340$	47.9345	−	27.6750i	2.59962	−	1.50089i
$341$	−2.24958	−	3.22782i	−0.121822	−	0.174797i
$342$	−27.6800	+	45.0669i	−1.49676	+	2.43694i
$343$	−13.2250	−	4.29705i	−0.714081	−	0.232019i
$344$	10.8675	−	24.4087i	0.585934	−	1.31603i
$345$	−19.0622	+	2.75401i	−1.02628	+	0.148271i
$346$	−29.1078	−	6.18705i	−1.56484	−	0.332618i
$347$	−17.3643	−	3.69089i	−0.932163	−	0.198137i	−0.283290	−	0.959034i	$-0.591426\pi$
$347$	−17.3643	−	3.69089i	−0.932163	−	0.198137i	−0.648873	+	0.760897i	$0.724759\pi$
$348$	19.5839	−	49.0151i	1.04981	−	2.62748i
$349$	3.79504	−	8.52381i	0.203144	−	0.456269i	−0.783030	−	0.621984i	$-0.786327\pi$
$349$	3.79504	−	8.52381i	0.203144	−	0.456269i	0.986174	+	0.165716i	$0.0529934\pi$
$350$	−2.08817	−	0.678487i	−0.111617	−	0.0362667i
$351$	−1.26648	−	5.63689i	−0.0675995	−	0.300875i
$352$	−2.30202	+	3.04094i	−0.122698	+	0.162083i
$353$	12.6509	−	7.30399i	0.673339	−	0.388752i	−0.124002	−	0.992282i	$-0.539573\pi$
$353$	12.6509	−	7.30399i	0.673339	−	0.388752i	0.797341	+	0.603530i	$0.206239\pi$
$354$	−0.622632	+	9.42621i	−0.0330925	+	0.500997i
$355$	1.37576	+	13.0894i	0.0730175	+	0.694715i
$356$	10.3678	+	23.2866i	0.549495	+	1.23419i
$357$	−5.76065	+	10.9357i	−0.304886	+	0.578780i
$358$	5.29076	+	4.76382i	0.279625	+	0.251776i
$359$	−13.4671	−	9.78443i	−0.710767	−	0.516402i	0.172654	−	0.984983i	$-0.444766\pi$
$359$	−13.4671	−	9.78443i	−0.710767	−	0.516402i	−0.883421	+	0.468580i	$0.844766\pi$
$360$	−26.4305	+	18.1257i	−1.39301	+	0.955307i
$361$	−9.83971	+	30.2835i	−0.517880	+	1.59387i
$362$	−28.9574	−	50.1557i	−1.52197	−	2.63612i
$363$	11.1904	+	15.4199i	0.587344	+	0.809337i
$364$	−2.47939	+	4.29443i	−0.129955	+	0.225089i
$365$	1.13180	+	1.25699i	0.0592409	+	0.0657937i
$366$	−8.59059	−	23.3223i	−0.449037	−	1.21907i
$367$	−3.08671	+	29.3681i	−0.161125	+	1.53300i	0.553117	+	0.833104i	$0.313438\pi$
$367$	−3.08671	+	29.3681i	−0.161125	+	1.53300i	−0.714242	+	0.699899i	$0.753228\pi$
$368$	−24.2636	+	7.88371i	−1.26483	+	0.410967i
$369$	3.17776	−	0.937786i	0.165427	−	0.0488192i
$370$	−2.86793	+	3.94736i	−0.149096	+	0.205214i
$371$	−10.7859	−	4.80218i	−0.559975	−	0.249317i
$372$	−3.73394	−	7.58139i	−0.193596	−	0.393077i
$373$	6.04790	+	3.49176i	0.313148	+	0.180796i	0.648334	−	0.761356i	$-0.275466\pi$
$373$	6.04790	+	3.49176i	0.313148	+	0.180796i	−0.335186	+	0.942152i	$0.608799\pi$
$374$	−20.9776	−	49.7241i	−1.08473	−	2.57117i
$375$	19.9771	−	5.06274i	1.03161	−	0.261439i
$376$	−4.66555	−	21.9497i	−0.240608	−	1.13197i
$377$	4.84209	+	6.66457i	0.249381	+	0.343243i
$378$	5.51848	−	12.7909i	0.283840	−	0.657891i
$379$	−10.0677	−	30.9850i	−0.517140	−	1.59159i	−0.779353	−	0.626585i	$-0.784452\pi$
$379$	−10.0677	−	30.9850i	−0.517140	−	1.59159i	0.262213	−	0.965010i	$-0.415548\pi$
$380$	−40.1264	+	44.5649i	−2.05844	+	2.28613i
$381$	−18.6461	−	7.45002i	−0.955270	−	0.381676i
$382$	−2.01705	+	0.212001i	−0.103201	+	0.0108469i
$383$	−18.2292	+	16.4136i	−0.931469	+	0.838698i	−0.987157	−	0.159750i	$-0.948931\pi$
$383$	−18.2292	+	16.4136i	−0.931469	+	0.838698i	0.0556889	+	0.998448i	$0.482264\pi$
$384$	22.9242	−	22.3091i	1.16984	−	1.13845i
$385$	3.12238	−	6.65767i	0.159131	−	0.339306i
$386$		−	35.2043i		−	1.79185i
$387$	−9.95216	−	11.6765i	−0.505897	−	0.593548i
$388$	31.6866	−	23.0217i	1.60864	−	1.16875i
$389$	−27.2434	−	2.86340i	−1.38129	−	0.145180i	−0.615435	−	0.788188i	$-0.711020\pi$
$389$	−27.2434	−	2.86340i	−1.38129	−	0.145180i	−0.765860	+	0.643008i	$0.777686\pi$
$390$	−0.377297	−	9.72874i	−0.0191052	−	0.492634i
$391$	7.44126	−	35.0084i	0.376321	−	1.77045i
$392$	27.7982	−	12.3766i	1.40402	−	0.625111i
$393$	−16.8398	+	6.20281i	−0.849454	+	0.312890i
$394$	−32.4379	+	6.89488i	−1.63420	+	0.347359i
$395$	−12.4671			−0.627288
$396$	18.7801	+	36.3612i	0.943734	+	1.82722i
$397$	20.5147			1.02960			0.514801	−	0.857310i	$-0.327866\pi$
$397$	20.5147			1.02960			0.514801	+	0.857310i	$0.327866\pi$
$398$	−51.4124	+	10.9280i	−2.57707	+	0.547774i
$399$	2.27454	−	13.1969i	0.113869	−	0.660670i
$400$	3.50989	−	1.56271i	0.175495	−	0.0781353i
$401$	2.07986	−	9.78498i	0.103863	−	0.488638i	−0.895212	−	0.445641i	$-0.852976\pi$
$401$	2.07986	−	9.78498i	0.103863	−	0.488638i	0.999075	−	0.0429976i	$-0.0136908\pi$
$402$	−3.59931	+	2.26844i	−0.179517	+	0.113139i
$403$	1.31174	+	0.137869i	0.0653423	+	0.00686776i
$404$	11.8523	−	8.61117i	0.589672	−	0.428422i
$405$	2.84192	+	18.1820i	0.141216	+	0.903472i
$406$			19.8632i			0.985795i
$407$	2.33619	+	2.18817i	0.115801	+	0.108463i
$408$	−14.6303	−	57.7297i	−0.724307	−	2.85805i
$409$	−6.04473	+	5.44270i	−0.298893	+	0.269124i	−0.804907	−	0.593401i	$-0.797785\pi$
$409$	−6.04473	+	5.44270i	−0.298893	+	0.269124i	0.506015	+	0.862525i	$0.331118\pi$
$410$	5.55287	−	0.583630i	0.274237	−	0.0288234i
$411$	−0.0726483	−	0.502844i	−0.00358348	−	0.0248035i
$412$	14.4970	−	16.1005i	0.714215	−	0.793216i
$413$	−0.739146	−	2.27486i	−0.0363710	−	0.111938i
$414$	−5.30570	+	39.9870i	−0.260761	+	1.96526i
$415$	−2.63634	−	3.62861i	−0.129413	−	0.178121i
$416$	−0.265837	−	1.25066i	−0.0130337	−	0.0613188i
$417$	−0.981346	+	3.47284i	−0.0480567	+	0.170066i
$418$	38.2630	+	44.2126i	1.87150	+	2.16251i
$419$	22.7014	+	13.1067i	1.10904	+	0.640302i	0.938579	−	0.345064i	$-0.112143\pi$
$419$	22.7014	+	13.1067i	1.10904	+	0.640302i	0.170456	+	0.985365i	$0.445476\pi$
$420$	8.78201	−	13.1288i	0.428518	−	0.640618i
$421$	−34.2193	−	15.2354i	−1.66774	−	0.742528i	−0.667746	−	0.744389i	$-0.732741\pi$
$421$	−34.2193	−	15.2354i	−1.66774	−	0.742528i	−0.999998	+	0.00186147i	$0.999407\pi$
$422$	−21.7049	+	29.8743i	−1.05658	+	1.45426i
$423$	−12.5264	−	3.02077i	−0.609053	−	0.146875i
$424$	54.1031	−	17.5791i	2.62748	−	0.853719i
$425$	−0.563401	+	5.36040i	−0.0273290	+	0.260018i
$426$	27.1644	+	4.68189i	1.31612	+	0.226838i
$427$	4.21089	+	4.67667i	0.203779	+	0.226320i
$428$	−22.5920	+	39.1306i	−1.09203	+	1.89145i
$429$	−6.36377	−	0.546145i	−0.307246	−	0.0263681i
$430$	−12.9274	−	22.3908i	−0.623412	−	1.07978i
$431$	−7.37759	+	22.7059i	−0.355366	+	1.09370i	0.600431	+	0.799677i	$0.294996\pi$
$431$	−7.37759	+	22.7059i	−0.355366	+	1.09370i	−0.955797	+	0.294027i	$0.905004\pi$
$432$	7.80042	+	23.0948i	0.375298	+	1.11115i
$433$	17.3812	+	12.6282i	0.835286	+	0.606871i	0.921050	−	0.389445i	$-0.127333\pi$
$433$	17.3812	+	12.6282i	0.835286	+	0.606871i	−0.0857640	+	0.996315i	$0.527333\pi$
$434$	2.36342	+	2.12803i	0.113448	+	0.102149i
$435$	−13.9908	−	22.1991i	−0.670808	−	1.06436i
$436$	4.43750	+	9.96679i	0.212518	+	0.477323i
$437$	4.05325	+	38.5641i	0.193893	+	1.84477i
$438$	3.17794	−	1.56518i	0.151848	−	0.0747874i
$439$	−8.94708	+	5.16560i	−0.427021	+	0.246541i	−0.698077	−	0.716023i	$-0.745961\pi$
$439$	−8.94708	+	5.16560i	−0.427021	+	0.246541i	0.271056	+	0.962564i	$0.412627\pi$
$440$	10.2844	+	33.9056i	0.490292	+	1.61638i
$441$	0.475118	−	17.4663i	0.0226247	−	0.831729i
$442$	17.2067	+	5.59079i	0.818439	+	0.265927i
$443$	12.9074	−	28.9906i	0.613251	−	1.37738i	−0.293598	−	0.955929i	$-0.594853\pi$
$443$	12.9074	−	28.9906i	0.613251	−	1.37738i	0.906849	−	0.421456i	$-0.138481\pi$
$444$	4.25386	+	5.40163i	0.201879	+	0.256350i
$445$	12.3952	+	2.63468i	0.587589	+	0.124896i
$446$	60.6335	+	12.8881i	2.87108	+	0.610267i
$447$	17.9491	+	22.7921i	0.848964	+	1.07803i
$448$	−2.88403	+	6.47764i	−0.136258	+	0.306040i
$449$	−8.43287	−	2.74001i	−0.397972	−	0.129309i	0.103192	−	0.994661i	$-0.467094\pi$
$449$	−8.43287	−	2.74001i	−0.397972	−	0.129309i	−0.501163	+	0.865353i	$0.667094\pi$
$450$	0.165182	−	6.07245i	0.00778678	−	0.286258i
$451$	0.0719854	−	3.66222i	0.00338966	−	0.172447i
$452$	33.0129	−	19.0600i	1.55279	−	0.896507i
$453$	15.0566	−	7.41561i	0.707422	−	0.348416i
$454$	0.754633	+	7.17985i	0.0354167	+	0.336967i
$455$	1.00268	+	2.25205i	0.0470063	+	0.105578i
$456$	34.4030	+	54.5868i	1.61107	+	2.55626i
$457$	−12.4905	−	11.2465i	−0.584280	−	0.526088i	0.323119	−	0.946358i	$-0.395269\pi$
$457$	−12.4905	−	11.2465i	−0.584280	−	0.526088i	−0.907399	+	0.420270i	$0.861935\pi$
$458$	6.69858	+	4.86681i	0.313004	+	0.227411i
$459$	−33.5300	−	6.72263i	−1.56505	−	0.313786i
$460$	−14.1335	+	43.4983i	−0.658976	+	2.02812i
$461$	−4.98284	−	8.63053i	−0.232074	−	0.401964i	0.726344	−	0.687331i	$-0.241218\pi$
$461$	−4.98284	−	8.63053i	−0.232074	−	0.401964i	−0.958418	+	0.285367i	$0.907884\pi$
$462$	−11.6398	−	10.0846i	−0.541534	−	0.469177i
$463$	−17.6360	+	30.5465i	−0.819616	+	1.41962i	0.0863496	+	0.996265i	$0.472480\pi$
$463$	−17.6360	+	30.5465i	−0.819616	+	1.41962i	−0.905966	+	0.423352i	$0.860854\pi$
$464$	−23.2576	−	25.8302i	−1.07971	−	1.19914i
$465$	−4.14025	−	0.713589i	−0.192000	−	0.0330919i
$466$	3.13325	−	29.8109i	0.145145	−	1.38096i
$467$	3.77750	−	1.22739i	0.174802	−	0.0567966i	−0.220308	−	0.975430i	$-0.570706\pi$
$467$	3.77750	−	1.22739i	0.174802	−	0.0567966i	0.395110	+	0.918634i	$0.370706\pi$
$468$	−13.3372	−	3.21631i	−0.616513	−	0.148674i
$469$	0.633189	−	0.871510i	0.0292379	−	0.0402426i
$470$	−19.8372	−	8.83208i	−0.915020	−	0.407393i
$471$	2.84101	−	4.24721i	0.130907	−	0.195701i
$472$	9.98087	+	5.76246i	0.459407	+	0.265239i
$473$	−15.6277	+	6.59302i	−0.718563	+	0.303148i
$474$	−7.10020	+	25.1266i	−0.326123	+	1.15410i
$475$	−1.21413	−	5.71201i	−0.0557079	−	0.262085i
$476$	17.2525	+	23.7460i	0.790766	+	1.08840i
$477$	4.29660	−	32.3818i	0.196728	−	1.48266i
$478$	−5.19232	−	15.9803i	−0.237491	−	0.730923i
$479$	−22.6130	+	25.1143i	−1.03322	+	1.14750i	−0.0443004	+	0.999018i	$0.514106\pi$
$479$	−22.6130	+	25.1143i	−1.03322	+	1.14750i	−0.988915	+	0.148484i	$0.952561\pi$
$480$	0.582362	+	4.03089i	0.0265811	+	0.183984i
$481$	−1.06720	+	0.112167i	−0.0486599	+	0.00511436i
$482$	5.99024	−	5.39363i	0.272848	−	0.245673i
$483$	−2.50906	−	9.90051i	−0.114166	−	0.450489i
$484$	44.5907	−	7.66036i	2.02685	−	0.348198i
$485$		−	19.4712i		−	0.884141i
$486$	38.2631	+	4.62725i	1.73565	+	0.209896i
$487$	12.5920	−	9.14862i	0.570598	−	0.414563i	−0.264725	−	0.964324i	$-0.585281\pi$
$487$	12.5920	−	9.14862i	0.570598	−	0.414563i	0.835322	+	0.549761i	$0.185281\pi$
$488$	−30.1556	−	3.16948i	−1.36508	−	0.143476i
$489$	32.3727	−	20.4027i	1.46394	−	0.922640i
$490$	6.12196	−	28.8016i	0.276562	−	1.30112i
$491$	7.62322	−	3.39408i	0.344031	−	0.153173i	−0.227446	−	0.973791i	$-0.573037\pi$
$491$	7.62322	−	3.39408i	0.344031	−	0.153173i	0.571477	+	0.820618i	$0.306371\pi$
$492$	1.33636	−	7.75359i	0.0602479	−	0.349559i
$493$	47.6955	−	10.1380i	2.14810	−	0.456592i
$494$	−19.6016			−0.881920
$495$	20.1118	+	3.07188i	0.903958	+	0.138071i
$496$	−5.56509			−0.249880
$497$	−6.82694	+	1.45111i	−0.306230	+	0.0650912i
$498$	−8.81464	+	3.24681i	−0.394993	+	0.145493i
$499$	−0.166561	+	0.0741579i	−0.00745631	+	0.00331976i	−0.410461	−	0.911878i	$-0.634632\pi$
$499$	−0.166561	+	0.0741579i	−0.00745631	+	0.00331976i	0.403005	+	0.915198i	$0.367966\pi$
$500$	10.1750	−	47.8696i	0.455040	−	2.14079i
$501$	−0.782273	−	20.1712i	−0.0349494	−	0.901183i
$502$	−30.0920	−	3.16280i	−1.34307	−	0.141163i
$503$	11.2333	−	8.16148i	0.500869	−	0.363902i	−0.308480	−	0.951231i	$-0.599820\pi$
$503$	11.2333	−	8.16148i	0.500869	−	0.363902i	0.809349	+	0.587328i	$0.199820\pi$
$504$	−11.0243	−	12.9344i	−0.491061	−	0.576142i
$505$		−	7.28312i		−	0.324095i
$506$	40.3750	+	18.9355i	1.79489	+	0.841784i
$507$	−14.6022	+	14.2104i	−0.648505	+	0.631105i
$508$	−35.4348	+	31.9056i	−1.57216	+	1.41558i
$509$	−25.5376	+	2.68411i	−1.13193	+	0.118971i	−0.651919	−	0.758289i	$-0.726036\pi$
$509$	−25.5376	+	2.68411i	−1.13193	+	0.118971i	−0.480015	+	0.877260i	$0.659369\pi$
$510$	−53.5156	−	21.3820i	−2.36971	−	0.946813i
$511$	−0.600182	+	0.666570i	−0.0265505	+	0.0294873i
$512$	−13.4807	−	41.4893i	−0.595768	−	1.83359i
$513$	36.8002	−	4.29877i	1.62477	−	0.189795i
$514$	23.1224	+	31.8252i	1.01988	+	1.40375i
$515$	−2.23934	−	10.5353i	−0.0986770	−	0.464239i
$516$	−35.3166	+	8.95020i	−1.55473	+	0.394011i
$517$	−7.36377	+	12.1945i	−0.323858	+	0.536314i
$518$	−2.24076	−	1.29370i	−0.0984533	−	0.0568420i
$519$	9.21073	+	18.7014i	0.404306	+	0.820902i
$520$	−10.8510	−	4.83116i	−0.475847	−	0.211861i
$521$	−23.3218	+	32.0997i	−1.02175	+	1.40631i	−0.110774	+	0.993846i	$0.535333\pi$
$521$	−23.3218	+	32.0997i	−1.02175	+	1.40631i	−0.910972	+	0.412468i	$0.864667\pi$
$522$	−52.7087	+	15.5548i	−2.30700	+	0.680816i
$523$	3.90330	−	1.26826i	0.170679	−	0.0554571i	−0.222431	−	0.974949i	$-0.571399\pi$
$523$	3.90330	−	1.26826i	0.170679	−	0.0554571i	0.393110	+	0.919491i	$0.371399\pi$
$524$	−4.45456	+	42.3823i	−0.194598	+	1.85148i
$525$	0.531637	+	1.44332i	0.0232025	+	0.0629917i
$526$	−19.7108	−	21.8910i	−0.859431	−	0.954495i
$527$	3.90356	−	6.76117i	0.170042	−	0.294521i
$528$	26.9444	−	0.514931i	1.17260	−	0.0224095i
$529$	3.28719	+	5.69357i	0.142921	+	0.247547i
$530$	17.0107	−	52.3536i	0.738899	−	2.27410i
$531$	5.45770	−	3.74282i	0.236844	−	0.162424i
$532$	−25.7272	−	18.6919i	−1.11541	−	0.810396i
$533$	0.912550	+	0.821663i	0.0395269	+	0.0355902i
$534$	12.3693	−	23.4812i	0.535271	−	1.01613i
$535$	9.13635	+	20.5206i	0.394999	+	0.887182i
$536$	0.542549	+	5.16201i	0.0234346	+	0.222965i
$537$	0.328719	−	4.97656i	0.0141853	−	0.214755i
$538$	−54.1302	+	31.2521i	−2.33372	+	1.34737i
$539$	−18.2506	−	6.32913i	−0.786108	−	0.272615i
$540$	41.7154	+	13.0227i	1.79515	+	0.560407i
$541$	23.5956	+	7.66668i	1.01445	+	0.329616i	0.768627	−	0.639697i	$-0.220940\pi$
$541$	23.5956	+	7.66668i	1.01445	+	0.329616i	0.245828	+	0.969314i	$0.420940\pi$
$542$	−7.98780	+	17.9409i	−0.343105	+	0.770627i
$543$	−15.0532	+	37.6755i	−0.645993	+	1.61681i
$544$	−7.40285	−	1.57352i	−0.317395	−	0.0674643i
$545$	5.30522	+	1.12766i	0.227251	+	0.0483036i
$546$	5.10990	−	0.738251i	0.218683	−	0.0315942i
$547$	15.9137	−	35.7428i	0.680422	−	1.52825i	−0.160464	−	0.987042i	$-0.551299\pi$
$547$	15.9137	−	35.7428i	0.680422	−	1.52825i	0.840886	−	0.541212i	$-0.182034\pi$
$548$	−1.14745	−	0.372828i	−0.0490165	−	0.0159264i
$549$	−9.11239	+	14.8362i	−0.388907	+	0.633195i
$550$	−6.34512	−	2.20043i	−0.270557	−	0.0938265i
$551$	−45.7515	+	26.4146i	−1.94908	+	1.12530i
$552$	40.9038	+	27.3611i	1.74098	+	1.16456i
$553$	−0.691059	−	6.57499i	−0.0293868	−	0.279597i
$554$	−9.64938	−	21.6729i	−0.409963	−	0.920792i
$555$	3.41550	−	0.132459i	0.144980	−	0.00562256i
$556$	6.36864	+	5.73435i	0.270090	+	0.243191i
$557$	−4.19799	−	3.05002i	−0.177874	−	0.129233i	0.495285	−	0.868730i	$-0.335063\pi$
$557$	−4.19799	−	3.05002i	−0.177874	−	0.129233i	−0.673160	+	0.739497i	$0.735063\pi$
$558$	−3.79612	+	7.93799i	−0.160703	+	0.336042i
$559$	1.75712	−	5.40787i	0.0743184	−	0.228728i
$560$	−5.20065	−	9.00779i	−0.219768	−	0.380649i
$561$	−18.2742	+	33.0966i	−0.771537	+	1.39734i
$562$	22.4333	−	38.8557i	0.946294	−	1.63903i
$563$	5.38926	+	5.98538i	0.227130	+	0.252254i	0.845929	−	0.533296i	$-0.179047\pi$
$563$	5.38926	+	5.98538i	0.227130	+	0.252254i	−0.618798	+	0.785550i	$0.712380\pi$
$564$	−19.5781	+	23.5158i	−0.824386	+	0.990194i
$565$	1.98089	−	18.8469i	0.0833368	−	0.792897i
$566$	45.6216	−	14.8234i	1.91762	−	0.623072i
$567$	−9.43143	+	2.50663i	−0.396083	+	0.105269i
$568$	19.7665	−	27.2063i	0.829385	−	1.14155i
$569$	27.7469	+	12.3537i	1.16321	+	0.517896i	0.895263	−	0.445537i	$-0.146987\pi$
$569$	27.7469	+	12.3537i	1.16321	+	0.517896i	0.267949	+	0.963433i	$0.413654\pi$
$570$	62.3014	+	4.11521i	2.60952	+	0.172367i
$571$	33.4911	+	19.3361i	1.40156	+	0.809190i	0.994553	−	0.104236i	$-0.0332397\pi$
$571$	33.4911	+	19.3361i	1.40156	+	0.809190i	0.407005	+	0.913426i	$0.366573\pi$
$572$	−7.84044	+	12.9839i	−0.327825	+	0.542884i
$573$	0.990906	+	1.01823i	0.0413957	+	0.0425370i
$574$	0.615598	+	2.89616i	0.0256945	+	0.120883i
$575$	−2.61788	−	3.60320i	−0.109173	−	0.150264i
$576$	−19.4474	−	2.58039i	−0.810310	−	0.107516i
$577$	5.09511	+	15.6811i	0.212112	+	0.652815i	0.999346	+	0.0361598i	$0.0115125\pi$
$577$	5.09511	+	15.6811i	0.212112	+	0.652815i	−0.787234	+	0.616655i	$0.788487\pi$
$578$	43.5325	−	48.3477i	1.81071	−	2.01100i
$579$	−19.3751	+	15.2582i	−0.805203	+	0.634109i
$580$	−61.9706	+	6.51338i	−2.57319	+	0.270453i
$581$	1.76755	−	1.59151i	0.0733302	−	0.0660268i
$582$	−39.2428	−	11.0891i	−1.62667	−	0.459659i
$583$	−32.6960	−	15.3341i	−1.35413	−	0.635072i
$584$		−	4.32178i		−	0.178836i
$585$	−5.19081	+	4.42427i	−0.214614	+	0.182921i
$586$	−30.7697	+	22.3555i	−1.27108	+	0.923496i
$587$	45.0057	+	4.73029i	1.85758	+	0.195240i	0.966162	−	0.257936i	$-0.0830422\pi$
$587$	45.0057	+	4.73029i	1.85758	+	0.195240i	0.891421	+	0.453175i	$0.149709\pi$
$588$	−36.7104	−	19.3381i	−1.51391	−	0.797490i
$589$	−1.75862	+	8.27365i	−0.0724626	+	0.340910i
$590$	10.1881	−	4.53603i	0.419437	−	0.186745i
$591$	17.8538	+	14.8642i	0.734409	+	0.611433i
$592$	4.42867	−	0.941343i	0.182017	−	0.0386889i
$593$	4.03343			0.165633			0.0828166	−	0.996565i	$-0.473608\pi$
$593$	4.03343			0.165633			0.0828166	+	0.996565i	$0.473608\pi$
$594$	17.6451	−	38.7845i	0.723988	−	1.59135i
$595$	14.5917			0.598203
$596$	67.3872	−	14.3236i	2.76029	−	0.586717i
$597$	28.2975	+	23.5591i	1.15814	+	0.964209i
$598$	−13.6574	+	6.08068i	−0.558494	+	0.248658i
$599$	1.28874	−	6.06305i	0.0526566	−	0.247730i	−0.943945	−	0.330103i	$-0.892917\pi$
$599$	1.28874	−	6.06305i	0.0526566	−	0.247730i	0.996602	+	0.0823731i	$0.0262499\pi$
$600$	−6.55694	−	3.45402i	−0.267686	−	0.141010i
$601$	47.3654	+	4.97830i	1.93207	+	0.203069i	0.990875	−	0.134786i	$-0.0430347\pi$
$601$	47.3654	+	4.97830i	1.93207	+	0.203069i	0.941198	+	0.337855i	$0.109701\pi$
$602$	11.0921	−	8.05885i	0.452079	−	0.328454i
$603$	2.80847	+	0.997742i	0.114370	+	0.0406312i
$604$		−	39.8561i		−	1.62172i
$605$	9.94884	−	20.1724i	0.404478	−	0.820123i
$606$	−14.6786	−	4.14785i	−0.596278	−	0.168495i
$607$	6.16934	−	5.55490i	0.250406	−	0.225467i	−0.534363	−	0.845255i	$-0.679448\pi$
$607$	6.16934	−	5.55490i	0.250406	−	0.225467i	0.784769	+	0.619789i	$0.212782\pi$
$608$	8.15475	−	0.857098i	0.330719	−	0.0347599i
$609$	10.9320	−	8.60908i	0.442986	−	0.348858i
$610$	−19.6331	+	21.8048i	−0.794922	+	0.882850i
$611$	−1.47575	−	4.54188i	−0.0597023	−	0.183745i
$612$	−49.5016	+	64.3763i	−2.00098	+	2.60226i
$613$	−13.0470	−	17.9576i	−0.526962	−	0.725301i	0.459702	−	0.888073i	$-0.347956\pi$
$613$	−13.0470	−	17.9576i	−0.526962	−	0.725301i	−0.986664	+	0.162773i	$0.947956\pi$
$614$	−3.01744	−	14.1959i	−0.121774	−	0.572901i
$615$	−2.72792	−	2.80314i	−0.110000	−	0.113033i
$616$	−17.3113	+	7.30329i	−0.697491	+	0.294258i
$617$	−2.63944	−	1.52388i	−0.106260	−	0.0613492i	0.445928	−	0.895069i	$-0.352874\pi$
$617$	−2.63944	−	1.52388i	−0.106260	−	0.0613492i	−0.552188	+	0.833720i	$0.686207\pi$
$618$	−22.5084	−	1.48675i	−0.905421	−	0.0598060i
$619$	22.5944	+	10.0597i	0.908144	+	0.404332i	0.807008	−	0.590541i	$-0.201085\pi$
$619$	22.5944	+	10.0597i	0.908144	+	0.404332i	0.101136	+	0.994873i	$0.467752\pi$
$620$	−5.86420	+	8.07137i	−0.235512	+	0.324154i
$621$	24.3070	−	14.4111i	0.975406	−	0.578296i
$622$	−62.1957	+	20.2086i	−2.49382	+	0.810291i
$623$	−0.702423	+	6.68311i	−0.0281420	+	0.267753i
$624$	−5.78051	+	6.94314i	−0.231406	+	0.277948i
$625$	−13.5394	−	15.0371i	−0.541577	−	0.601483i
$626$	−9.59099	+	16.6121i	−0.383333	+	0.663952i
$627$	7.74912	−	40.2211i	0.309470	−	1.60628i
$628$	−6.06710	−	10.5085i	−0.242104	−	0.419336i
$629$	−1.96277	+	6.04080i	−0.0782609	+	0.240862i
$630$	−16.3962	+	1.27366i	−0.653239	+	0.0507437i
$631$	−15.6052	−	11.3378i	−0.621233	−	0.451352i	0.232119	−	0.972687i	$-0.425434\pi$
$631$	−15.6052	−	11.3378i	−0.621233	−	0.451352i	−0.853352	+	0.521335i	$0.825434\pi$
$632$	23.6725	+	21.3148i	0.941641	+	0.847858i
$633$	25.8490	−	1.00247i	1.02741	−	0.0398446i
$634$	6.20484	+	13.9363i	0.246426	+	0.553482i
$635$	2.47779	+	23.5746i	0.0983282	+	0.935530i
$636$	−64.4757	−	43.1287i	−2.55663	−	1.71016i
$637$	5.60819	−	3.23789i	0.222204	−	0.128290i
$638$	−1.19400	+	60.7443i	−0.0472711	+	2.40489i
$639$	−9.19680	−	16.9795i	−0.363820	−	0.671698i
$640$	−35.9145	−	11.6693i	−1.41964	−	0.461270i
$641$	−0.114473	+	0.257111i	−0.00452142	+	0.0101553i	−0.915792	−	0.401653i	$-0.868436\pi$
$641$	−0.114473	+	0.257111i	−0.00452142	+	0.0101553i	0.911271	+	0.411808i	$0.135103\pi$
$642$	46.5611	−	6.72691i	1.83762	−	0.265490i
$643$	−11.9865	−	2.54781i	−0.472702	−	0.100476i	−0.0346001	−	0.999401i	$-0.511016\pi$
$643$	−11.9865	−	2.54781i	−0.472702	−	0.100476i	−0.438102	+	0.898925i	$0.644349\pi$
$644$	−23.7239	−	5.04266i	−0.934851	−	0.198709i
$645$	−6.72013	+	16.8193i	−0.264605	+	0.662261i
$646$	−47.1915	+	105.994i	−1.85673	+	4.17028i
$647$	12.4773	+	4.05411i	0.490532	+	0.159383i	0.543830	−	0.839195i	$-0.316974\pi$
$647$	12.4773	+	4.05411i	0.490532	+	0.159383i	−0.0532987	+	0.998579i	$0.516974\pi$
$648$	25.6893	−	39.3827i	1.00917	−	1.54710i
$649$	−2.12366	−	7.00125i	−0.0833610	−	0.274823i
$650$	1.94978	−	1.12571i	0.0764766	−	0.0441538i
$651$	0.146841	−	2.22307i	0.00575515	−	0.0871289i
$652$	−9.49839	−	90.3711i	−0.371986	−	3.53921i
$653$	−2.84441	−	6.38866i	−0.111310	−	0.250007i	0.849297	−	0.527915i	$-0.177026\pi$
$653$	−2.84441	−	6.38866i	−0.111310	−	0.250007i	−0.960608	+	0.277907i	$0.910359\pi$
$654$	5.29412	−	10.0501i	0.207017	−	0.392990i
$655$	15.7441	+	14.1760i	0.615172	+	0.553904i
$656$	−4.19160	−	3.04538i	−0.163655	−	0.118902i
$657$	−2.23880	−	1.07064i	−0.0873438	−	0.0417698i
$658$	3.55833	−	10.9514i	0.138718	−	0.426931i
$659$	−4.59171	−	7.95307i	−0.178868	−	0.309808i	0.762625	−	0.646840i	$-0.223910\pi$
$659$	−4.59171	−	7.95307i	−0.178868	−	0.309808i	−0.941493	+	0.337033i	$0.890577\pi$
$660$	27.6457	−	39.6216i	1.07611	−	1.54227i
$661$	6.85052	−	11.8654i	0.266454	−	0.461512i	−0.701489	−	0.712680i	$-0.747481\pi$
$661$	6.85052	−	11.8654i	0.266454	−	0.461512i	0.967944	+	0.251168i	$0.0808145\pi$
$662$	−27.9476	−	31.0389i	−1.08621	−	1.20636i
$663$	−4.38073	−	11.8931i	−0.170133	−	0.461889i
$664$	−1.19790	+	11.3973i	−0.0464877	+	0.442301i
$665$	−15.0354	+	4.88529i	−0.583047	+	0.189444i
$666$	1.67821	−	6.95913i	0.0650295	−	0.269661i
$667$	−23.6832	+	32.5971i	−0.917016	+	1.26216i
$668$	−43.7920	−	19.4975i	−1.69436	−	0.754379i
$669$	−19.1866	−	38.9564i	−0.741796	−	1.50614i
$670$	4.34971	+	2.51131i	0.168044	+	0.0970202i
$671$	12.5963	+	14.5550i	0.486277	+	0.561890i
$672$	−2.09356	+	0.530565i	−0.0807607	+	0.0204670i
$673$	3.75375	+	17.6600i	0.144696	+	0.680743i	0.989365	+	0.145454i	$0.0464642\pi$
$673$	3.75375	+	17.6600i	0.144696	+	0.680743i	−0.844669	+	0.535290i	$0.820202\pi$
$674$	43.8453	+	60.3479i	1.68886	+	2.32451i
$675$	−3.41365	+	2.54100i	−0.131391	+	0.0978032i
$676$	14.9519	+	46.0171i	0.575072	+	1.76989i
$677$	17.6773	−	19.6326i	0.679393	−	0.754542i	−0.300562	−	0.953762i	$-0.597174\pi$
$677$	17.6773	−	19.6326i	0.679393	−	0.754542i	0.979955	+	0.199220i	$0.0638408\pi$
$678$	−36.8566	−	14.7260i	−1.41547	−	0.565547i
$679$	10.2688	−	1.07930i	0.394082	−	0.0414197i
$680$	−52.2481	+	47.0444i	−2.00362	+	1.80407i
$681$	3.62445	−	3.52720i	0.138889	−	0.135163i
$682$	7.09974	+	6.64988i	0.271863	+	0.254637i
$683$			19.4399i			0.743848i	0.928263	+	0.371924i	$0.121302\pi$
$683$			19.4399i			0.743848i	−0.928263	+	0.371924i	$0.878698\pi$
$684$	29.4536	−	82.9067i	1.12619	−	3.17002i
$685$	−0.485241	+	0.352548i	−0.0185401	+	0.0134702i
$686$	34.1926	+	3.59379i	1.30548	+	0.137212i
$687$	−0.224779	−	5.79602i	−0.00857586	−	0.221132i
$688$	−4.98813	+	23.4673i	−0.190171	+	0.894683i
$689$	11.0599	−	4.92418i	0.421348	−	0.187596i
$690$	44.6850	−	16.4594i	1.70113	−	0.626599i
$691$	26.5419	−	5.64165i	1.00970	−	0.214618i	0.326772	−	0.945103i	$-0.394039\pi$
$691$	26.5419	−	5.64165i	1.00970	−	0.214618i	0.682929	+	0.730485i	$0.260706\pi$
$692$	49.5042			1.88187
$693$	−0.505259	+	10.7770i	−0.0191932	+	0.409383i
$694$	43.8917			1.66611
$695$	4.16727	−	0.885780i	0.158073	−	0.0335996i
$696$	−11.3877	+	66.0714i	−0.431649	+	2.50443i
$697$	6.64005	−	2.95634i	0.251510	−	0.111979i
$698$	−4.79637	+	22.5651i	−0.181545	+	0.854103i
$699$	−17.7648	+	11.1962i	−0.671927	+	0.423478i
$700$	3.63254	+	0.381796i	0.137297	+	0.0144305i
$701$	−39.8170	+	28.9287i	−1.50387	+	1.09262i	−0.535058	+	0.844815i	$0.679710\pi$
$701$	−39.8170	+	28.9287i	−1.50387	+	1.09262i	−0.968809	+	0.247808i	$0.920290\pi$
$702$	5.96056	+	12.9814i	0.224967	+	0.489952i
$703$		−	6.88160i		−	0.259545i
$704$	−9.20913	+	19.6361i	−0.347082	+	0.740064i
$705$	3.73694	+	14.7456i	0.140741	+	0.555352i
$706$	−26.8407	+	24.1675i	−1.01016	+	0.909555i
$707$	3.84102	−	0.403708i	0.144457	−	0.0151830i
$708$	−2.24712	−	15.5537i	−0.0844518	−	0.584544i
$709$	−16.7358	+	18.5870i	−0.628528	+	0.698051i	−0.970347	−	0.241715i	$-0.922290\pi$
$709$	−16.7358	+	18.5870i	−0.628528	+	0.698051i	0.341819	+	0.939766i	$0.388957\pi$
$710$	−10.0559	−	30.9487i	−0.377390	−	1.16149i
$711$	16.9061	−	6.98264i	0.634028	−	0.261869i
$712$	−19.0315	−	26.1946i	−0.713235	−	0.981684i
$713$	1.34128	+	6.31021i	0.0502312	+	0.236319i
$714$	8.31021	−	29.4086i	0.311002	−	1.10059i
$715$	2.93095	+	6.94735i	0.109611	+	0.259816i
$716$	−10.2568	−	5.92177i	−0.383315	−	0.221307i
$717$	−6.54453	+	9.78383i	−0.244410	+	0.365384i
$718$	37.5991	+	16.7402i	1.40318	+	0.624738i
$719$	2.83956	−	3.90832i	0.105898	−	0.145756i	−0.752779	−	0.658273i	$-0.771287\pi$
$719$	2.83956	−	3.90832i	0.105898	−	0.145756i	0.858677	+	0.512518i	$0.171287\pi$
$720$	19.8303	−	20.8543i	0.739031	−	0.777195i
$721$	5.43203	−	1.76497i	0.202299	−	0.0657310i
$722$	8.22933	−	78.2969i	0.306264	−	2.91391i
$723$	−5.56474	−	0.959105i	−0.206955	−	0.0356695i
$724$	64.4670	+	71.5978i	2.39590	+	2.66091i
$725$	3.03394	−	5.25493i	0.112678	−	0.195163i
$726$	−34.9900	−	31.5397i	−1.29860	−	1.17055i
$727$	−26.6643	−	46.1840i	−0.988926	−	1.71287i	−0.622991	−	0.782229i	$-0.714083\pi$
$727$	−26.6643	−	46.1840i	−0.988926	−	1.71287i	−0.365934	−	0.930641i	$-0.619250\pi$
$728$	1.94642	−	5.99045i	0.0721390	−	0.222021i
$729$	−14.0373	−	23.0641i	−0.519899	−	0.854228i
$730$	−3.38333	−	2.45814i	−0.125223	−	0.0909797i
$731$	−25.0122	−	22.5211i	−0.925109	−	0.832972i
$732$	22.0451	+	34.9788i	0.814812	+	1.29285i
$733$	−16.2870	−	36.5813i	−0.601576	−	1.35116i	−0.915732	−	0.401790i	$-0.868388\pi$
$733$	−16.2870	−	36.5813i	−0.601576	−	1.35116i	0.314156	−	0.949371i	$-0.398278\pi$
$734$	−7.63179	−	72.6116i	−0.281694	−	2.68014i
$735$	−18.5047	+	9.11383i	−0.682556	+	0.336169i
$736$	5.41593	−	3.12689i	0.199634	−	0.115259i
$737$	1.98876	−	2.62713i	0.0732570	−	0.0967716i
$738$	−7.20312	+	3.90151i	−0.265151	+	0.143617i
$739$	−6.09069	−	1.97899i	−0.224050	−	0.0727982i	0.194841	−	0.980835i	$-0.437581\pi$
$739$	−6.09069	−	1.97899i	−0.224050	−	0.0727982i	−0.418891	+	0.908037i	$0.637581\pi$
$740$	3.30141	−	7.41510i	0.121362	−	0.272584i
$741$	8.49571	+	10.7880i	0.312098	+	0.396308i
$742$	28.5535	+	6.06924i	1.04823	+	0.222809i
$743$	−18.4429	−	3.92017i	−0.676606	−	0.143817i	−0.143222	−	0.989691i	$-0.545746\pi$
$743$	−18.4429	−	3.92017i	−0.676606	−	0.143817i	−0.533383	+	0.845874i	$0.679080\pi$
$744$	6.64148	+	8.43348i	0.243489	+	0.309186i
$745$	13.9303	−	31.2879i	0.510366	−	1.14630i
$746$	−16.4214	−	5.33564i	−0.601230	−	0.195352i
$747$	5.60735	+	3.44402i	0.205162	+	0.126010i
$748$	51.3330	+	73.6555i	1.87692	+	2.69311i
$749$	−10.3159	+	5.95586i	−0.376933	+	0.217622i
$750$	−45.7107	+	22.5132i	−1.66912	+	0.822066i
$751$	−2.02187	−	19.2368i	−0.0737789	−	0.701960i	−0.967420	−	0.253177i	$-0.918524\pi$
$751$	−2.02187	−	19.2368i	−0.0737789	−	0.701960i	0.893641	−	0.448782i	$-0.148142\pi$
$752$	8.19562	+	18.4077i	0.298864	+	0.671259i
$753$	11.3018	+	17.9324i	0.411859	+	0.653491i
$754$	−15.1362	−	13.6287i	−0.551229	−	0.496329i
$755$	−16.0297	−	11.6463i	−0.583382	−	0.423852i
$756$	−4.55568	+	22.7220i	−0.165688	+	0.826392i
$757$	−4.32387	+	13.3075i	−0.157154	+	0.483670i	−0.998373	−	0.0570248i	$-0.981839\pi$
$757$	−4.32387	+	13.3075i	−0.157154	+	0.483670i	0.841219	+	0.540695i	$0.181839\pi$
$758$	40.2760	+	69.7600i	1.46289	+	2.53380i
$759$	−7.07791	−	30.4279i	−0.256912	−	1.10446i
$760$	38.0863	−	65.9674i	1.38153	−	2.39289i
$761$	−14.1298	−	15.6927i	−0.512203	−	0.568860i	0.430458	−	0.902611i	$-0.358352\pi$
$761$	−14.1298	−	15.6927i	−0.512203	−	0.568860i	−0.942661	+	0.333751i	$0.891685\pi$
$762$	48.9241	+	8.43228i	1.77233	+	0.305469i
$763$	−0.300641	+	2.86041i	−0.0108839	+	0.103554i
$764$	3.20883	−	1.04261i	0.116091	−	0.0377204i
$765$	11.4267	+	38.7204i	0.413135	+	1.39994i
$766$	35.6486	−	49.0661i	1.28804	−	1.77283i
$767$	2.24065	+	0.997600i	0.0809050	+	0.0360212i
$768$	−31.3778	+	46.9086i	−1.13225	+	1.69267i
$769$	−36.6834	−	21.1791i	−1.32284	−	0.763740i	−0.338656	−	0.940910i	$-0.609972\pi$
$769$	−36.6834	−	21.1791i	−1.32284	−	0.763740i	−0.984180	+	0.177171i	$0.943305\pi$
$770$	−4.12886	+	17.7062i	−0.148794	+	0.638088i
$771$	7.49377	−	26.5194i	0.269881	−	0.955071i
$772$	12.1762	+	57.2845i	0.438231	+	2.06171i
$773$	9.77676	+	13.4566i	0.351646	+	0.483999i	0.947797	−	0.318873i	$-0.103304\pi$
$773$	9.77676	+	13.4566i	0.351646	+	0.483999i	−0.596152	+	0.802872i	$0.703304\pi$
$774$	30.0710	+	23.1228i	1.08088	+	0.831133i
$775$	−0.300218	−	0.923977i	−0.0107842	−	0.0331902i
$776$	−33.2896	+	36.9718i	−1.19503	+	1.32721i
$777$	0.259180	+	1.79395i	0.00929803	+	0.0643574i
$778$	67.3583	−	7.07965i	2.41491	−	0.253818i
$779$	−5.85216	+	5.26931i	−0.209676	+	0.188793i
$780$	3.97884	+	15.7001i	0.142465	+	0.562155i
$781$	−20.9649	+	4.02731i	−0.750184	+	0.144109i
$782$			88.4907i			3.16442i
$783$	31.4057	+	22.2671i	1.12235	+	0.795763i
$784$	−22.1049	+	16.0602i	−0.789461	+	0.573577i
$785$	−5.99928	−	0.630550i	−0.214124	−	0.0225053i
$786$	37.5373	−	23.6577i	1.33891	−	0.843840i
$787$	−7.87356	+	37.0422i	−0.280662	+	1.32041i	0.581403	+	0.813615i	$0.302504\pi$
$787$	−7.87356	+	37.0422i	−0.280662	+	1.32041i	−0.862066	+	0.506797i	$0.830829\pi$
$788$	50.3982	−	22.4387i	1.79536	−	0.799346i
$789$	−3.50501	+	20.3361i	−0.124782	+	0.723983i
$790$	30.1509	−	6.40877i	1.07272	−	0.228014i
$791$	10.0494			0.357317
$792$	−32.9363	−	40.2177i	−1.17034	−	1.42907i
$793$	−6.45295			−0.229151
$794$	−49.6134	+	10.5457i	−1.76071	+	0.374251i
$795$	−36.1863	+	13.3290i	−1.28339	+	0.472729i
$796$	79.8787	−	35.5643i	2.83123	−	1.26054i
$797$	−6.25741	+	29.4388i	−0.221649	+	1.04278i	0.716779	+	0.697300i	$0.245616\pi$
$797$	−6.25741	+	29.4388i	−0.221649	+	1.04278i	−0.938428	+	0.345475i	$0.887718\pi$
$798$	1.28309	+	33.0850i	0.0454210	+	1.17120i
$799$	−28.1127	−	2.95476i	−0.994555	−	0.104532i
$800$	−0.761931	+	0.553576i	−0.0269383	+	0.0195719i
$801$	−18.2842	+	3.36959i	−0.646042	+	0.119058i
$802$			24.7335i			0.873370i
$803$	−1.87551	+	2.00238i	−0.0661851	+	0.0706625i
$804$	5.07221	−	4.93611i	0.178883	−	0.174083i
$805$	−8.96042	+	8.06800i	−0.315813	+	0.284360i
$806$	−3.24323	+	0.340877i	−0.114238	+	0.0120069i
$807$	40.6610	+	16.2460i	1.43134	+	0.571888i
$808$	−12.4518	+	13.8292i	−0.438054	+	0.486508i
$809$	−13.7550	−	42.3334i	−0.483599	−	1.48836i	−0.834000	−	0.551765i	$-0.813955\pi$
$809$	−13.7550	−	42.3334i	−0.483599	−	1.48836i	0.350401	−	0.936600i	$-0.386045\pi$
$810$	−16.2195	−	42.5112i	−0.569896	−	1.49369i
$811$	16.8211	+	23.1522i	0.590667	+	0.812984i	0.994814	−	0.101710i	$-0.0324314\pi$
$811$	16.8211	+	23.1522i	0.590667	+	0.812984i	−0.404147	+	0.914694i	$0.632431\pi$
$812$	−6.87014	−	32.3215i	−0.241095	−	1.13426i
$813$	13.3361	−	3.37972i	0.467716	−	0.118532i
$814$	−6.77477	−	4.09101i	−0.237456	−	0.143390i
$815$	−39.1219	−	22.5870i	−1.37038	−	0.791190i
$816$	23.6276	+	47.9734i	0.827131	+	1.67940i
$817$	33.3127	+	14.8318i	1.16546	+	0.518898i
$818$	11.8209	−	16.2701i	0.413309	−	0.568872i
$819$	−2.62103	−	2.49233i	−0.0915862	−	0.0870889i
$820$	−8.83378	+	2.87027i	−0.308489	+	0.100234i
$821$	−0.649932	+	6.18369i	−0.0226828	+	0.215812i	0.977309	+	0.211818i	$0.0679382\pi$
$821$	−0.649932	+	6.18369i	−0.0226828	+	0.215812i	−0.999992	+	0.00399476i	$0.998728\pi$
$822$	0.434185	+	1.17875i	0.0151439	+	0.0411137i
$823$	−21.3309	−	23.6903i	−0.743547	−	0.825793i	0.246110	−	0.969242i	$-0.420847\pi$
$823$	−21.3309	−	23.6903i	−0.743547	−	0.825793i	−0.989658	+	0.143449i	$0.954181\pi$
$824$	−13.7599	+	23.8329i	−0.479349	+	0.830257i
$825$	1.53906	+	4.44582i	0.0535830	+	0.154784i
$826$	2.95698	+	5.12163i	0.102886	+	0.178204i
$827$	3.59606	−	11.0675i	0.125047	−	0.384856i	−0.868862	−	0.495054i	$-0.835148\pi$
$827$	3.59606	−	11.0675i	0.125047	−	0.384856i	0.993910	+	0.110198i	$0.0351484\pi$
$828$	−5.19697	−	66.9021i	−0.180607	−	2.32501i
$829$	32.8784	+	23.8875i	1.14191	+	0.829649i	0.987385	−	0.158340i	$-0.0506141\pi$
$829$	32.8784	+	23.8875i	1.14191	+	0.829649i	0.154529	+	0.987988i	$0.450614\pi$
$830$	8.24111	+	7.42033i	0.286053	+	0.257563i
$831$	−7.74573	+	14.7041i	−0.268696	+	0.510079i
$832$	−2.95730	−	6.64220i	−0.102526	−	0.230277i
$833$	−4.00668	−	38.1210i	−0.138823	−	1.32082i
$834$	0.588093	−	8.90330i	0.0203640	−	0.308296i
$835$	−20.6381	+	11.9154i	−0.714210	+	0.412349i
$836$	−77.5535	−	58.7088i	−2.68225	−	2.03049i
$837$	6.01409	−	1.35122i	0.207877	−	0.0467051i
$838$	−61.6394	−	20.0278i	−2.12930	−	0.691850i
$839$	0.816775	−	1.83451i	0.0281982	−	0.0633342i	−0.898897	−	0.438159i	$-0.855631\pi$
$839$	0.816775	−	1.83451i	0.0281982	−	0.0633342i	0.927096	+	0.374825i	$0.122297\pi$
$840$	−7.44409	+	18.6313i	−0.256846	+	0.642840i
$841$	−25.3284	−	5.38371i	−0.873392	−	0.185645i
$842$	90.5889	+	19.2553i	3.12190	+	0.663580i
$843$	−31.1078	+	4.49429i	−1.07141	+	0.154792i
$844$	24.9856	−	56.1187i	0.860041	−	1.93168i
$845$	22.8767	+	7.43309i	0.786983	+	0.255706i
$846$	31.8470	+	0.866301i	1.09492	+	0.0297841i
$847$	11.1901	+	4.12872i	0.384497	+	0.141865i
$848$	−44.2375	+	25.5405i	−1.51912	+	0.877065i
$849$	−27.9315	−	18.6837i	−0.958606	−	0.641224i
$850$	−1.39299	−	13.2534i	−0.0477791	−	0.454588i
$851$	−2.13476	−	4.79475i	−0.0731787	−	0.164362i
$852$	−45.8213	+	1.77703i	−1.56981	+	0.0608799i
$853$	−7.37963	−	6.64465i	−0.252674	−	0.227508i	0.533054	−	0.846081i	$-0.321044\pi$
$853$	−7.37963	−	6.64465i	−0.252674	−	0.227508i	−0.785727	+	0.618573i	$0.787711\pi$
$854$	−12.5878	−	9.14560i	−0.430747	−	0.312956i
$855$	−24.7377	−	36.0720i	−0.846012	−	1.23364i
$856$	17.7356	−	54.5847i	0.606192	−	1.86567i
$857$	18.3785	+	31.8325i	0.627797	+	1.08738i	0.987993	+	0.154500i	$0.0493765\pi$
$857$	18.3785	+	31.8325i	0.627797	+	1.08738i	−0.360196	+	0.932877i	$0.617290\pi$
$858$	15.6711	−	1.95051i	0.535003	−	0.0665893i
$859$	−16.6007	+	28.7532i	−0.566407	+	0.981045i	0.430510	+	0.902586i	$0.358334\pi$
$859$	−16.6007	+	28.7532i	−0.566407	+	0.981045i	−0.996917	+	0.0784599i	$0.975000\pi$
$860$	28.7798	+	31.9632i	0.981383	+	1.08994i
$861$	1.32713	−	1.59405i	0.0452284	−	0.0543251i
$862$	6.17016	−	58.7052i	0.210157	−	1.99951i
$863$	−0.486372	+	0.158032i	−0.0165563	+	0.00537947i	−0.317283	−	0.948331i	$-0.602771\pi$
$863$	−0.486372	+	0.158032i	−0.0165563	+	0.00537947i	0.300727	+	0.953710i	$0.402771\pi$
$864$	−3.04736	−	5.13994i	−0.103673	−	0.174864i
$865$	14.4655	−	19.9101i	0.491843	−	0.676964i
$866$	−48.5268	−	21.6055i	−1.64901	−	0.734186i
$867$	−45.4765	−	3.00388i	−1.54446	−	0.102017i
$868$	−4.58179	−	2.64530i	−0.155516	−	0.0897873i
$869$	−1.71812	−	20.1487i	−0.0582832	−	0.683499i
$870$	45.2474	+	46.4950i	1.53403	+	1.57633i
$871$	0.229662	+	1.08047i	0.00778179	+	0.0366105i
$872$	−8.14560	−	11.2115i	−0.275845	−	0.379668i
$873$	10.9055	+	26.4040i	0.369096	+	0.893641i
$874$	−29.6266	−	91.1812i	−1.00213	−	3.08425i
$875$	8.63287	−	9.58777i	0.291844	−	0.324126i
$876$	−4.62980	+	3.64603i	−0.156427	+	0.123188i
$877$	−35.7079	+	3.75306i	−1.20577	+	0.126732i	−0.686018	−	0.727585i	$-0.740643\pi$
$877$	−35.7079	+	3.75306i	−1.20577	+	0.126732i	−0.519753	+	0.854316i	$0.673976\pi$
$878$	18.9825	−	17.0920i	0.640630	−	0.576825i
$879$	25.6398	+	7.24521i	0.864808	+	0.244375i
$880$	−15.3628	−	27.8596i	−0.517880	−	0.939148i
$881$		−	6.31663i		−	0.212813i	−0.994323	−	0.106406i	$-0.966066\pi$
$881$		−	6.31663i		−	0.212813i	0.994323	−	0.106406i	$-0.0339345\pi$
$882$	7.82959	+	42.4854i	0.263636	+	1.43056i
$883$	−20.5419	+	14.9246i	−0.691290	+	0.502252i	−0.877084	−	0.480337i	$-0.840514\pi$
$883$	−20.5419	+	14.9246i	−0.691290	+	0.502252i	0.185794	+	0.982589i	$0.440514\pi$
$884$	−29.9325	−	3.14603i	−1.00674	−	0.105812i
$885$	−6.91217	−	3.64115i	−0.232350	−	0.122396i
$886$	−16.3131	+	76.7470i	−0.548049	+	2.57837i
$887$	35.1095	−	15.6318i	1.17886	−	0.524863i	0.278683	−	0.960383i	$-0.410102\pi$
$887$	35.1095	−	15.6318i	1.17886	−	0.524863i	0.900179	+	0.435520i	$0.143436\pi$
$888$	−6.71179	−	5.58791i	−0.225233	−	0.187518i
$889$	−12.2956	+	2.61351i	−0.412381	+	0.0876543i
$890$	−31.3314			−1.05023
$891$	−28.9933	+	7.09867i	−0.971311	+	0.237814i
$892$	−103.121			−3.45274
$893$	29.9567	−	6.36749i	1.00246	−	0.213080i
$894$	−55.1252	−	45.8945i	−1.84366	−	1.53494i
$895$	−5.37880	+	2.39480i	−0.179794	+	0.0800492i
$896$	4.16349	−	19.5877i	0.139092	−	0.654378i
$897$	9.26597	+	4.88107i	0.309382	+	0.162974i
$898$	21.8029	+	2.29157i	0.727571	+	0.0764708i
$899$	−7.11054	+	5.16611i	−0.237150	+	0.172299i
$900$	1.83151	+	9.93824i	0.0610503	+	0.331275i
$901$		−	71.6604i		−	2.38735i
$902$	1.70849	+	8.89384i	0.0568864	+	0.296133i
$903$	−9.24280	−	2.61180i	−0.307581	−	0.0869154i
$904$	−35.9836	+	32.3998i	−1.19680	+	1.07760i
$905$	47.6337	−	5.00651i	1.58340	−	0.166422i
$906$	−32.6015	+	25.6741i	−1.08311	+	0.852965i
$907$	−17.4943	+	19.4294i	−0.580889	+	0.645142i	−0.959931	−	0.280237i	$-0.909587\pi$
$907$	−17.4943	+	19.4294i	−0.580889	+	0.645142i	0.379042	+	0.925379i	$0.376254\pi$
$908$	−3.71125	−	11.4221i	−0.123162	−	0.379055i
$909$	4.07916	+	9.87633i	0.135297	+	0.327577i
$910$	−3.58259	−	4.93101i	−0.118762	−	0.163461i
$911$	−6.94164	−	32.6578i	−0.229987	−	1.08200i	−0.929911	−	0.367785i	$-0.880116\pi$
$911$	−6.94164	−	32.6578i	−0.229987	−	1.08200i	0.699924	−	0.714217i	$-0.253217\pi$
$912$	−40.4074	−	41.5215i	−1.33802	−	1.37491i
$913$	5.50106	−	4.76079i	0.182058	−	0.157559i
$914$	35.9887	+	20.7781i	1.19040	+	0.687279i
$915$	20.5099	+	1.35475i	0.678036	+	0.0447865i
$916$	−12.5832	−	5.60242i	−0.415762	−	0.185109i
$917$	−6.60355	+	9.08901i	−0.218069	+	0.300146i
$918$	84.5459	−	0.977988i	2.79043	−	0.0322784i
$919$	−17.6258	+	5.72696i	−0.581420	+	0.188915i	−0.584937	−	0.811079i	$-0.698881\pi$
$919$	−17.6258	+	5.72696i	−0.581420	+	0.188915i	0.00351649	+	0.999994i	$0.498881\pi$
$920$	6.07267	−	57.7776i	0.200210	−	1.90487i
$921$	−6.50510	+	7.81346i	−0.214350	+	0.257462i
$922$	16.4872	+	18.3109i	0.542978	+	0.603038i
$923$	3.57838	−	6.19794i	0.117784	−	0.204008i
$924$	22.4283	+	12.3837i	0.737838	+	0.407395i
$925$	0.395204	+	0.684514i	0.0129942	+	0.0225067i
$926$	26.9490	−	82.9406i	0.885600	−	2.72560i
$927$	8.93730	+	13.0322i	0.293540	+	0.428033i
$928$	6.89296	+	5.00803i	0.226273	+	0.164397i
$929$	25.0660	+	22.5696i	0.822390	+	0.740483i	0.968561	−	0.248776i	$-0.0800284\pi$
$929$	25.0660	+	22.5696i	0.822390	+	0.740483i	−0.146171	+	0.989259i	$0.546695\pi$
$930$	10.3798	−	0.402544i	0.340365	−	0.0131999i
$931$	16.8914	+	37.9387i	0.553593	+	1.24339i
$932$	5.21234	+	49.5921i	0.170736	+	1.62444i
$933$	38.0788	+	25.4714i	1.24664	+	0.833897i
$934$	−8.50470	+	4.91019i	−0.278282	+	0.160666i
$935$	44.6235	+	0.877128i	1.45934	+	0.0286852i
$936$	17.4204	+	0.473869i	0.569403	+	0.0154889i
$937$	−5.72211	−	1.85923i	−0.186933	−	0.0607383i	0.214054	−	0.976822i	$-0.431333\pi$
$937$	−5.72211	−	1.85923i	−0.186933	−	0.0607383i	−0.400988	+	0.916083i	$0.631333\pi$
$938$	−1.08332	+	2.43318i	−0.0353717	+	0.0794462i
$939$	13.2996	−	1.92146i	0.434016	−	0.0627043i
$940$	35.3339	+	7.51044i	1.15246	+	0.244964i
$941$	−42.5319	−	9.04044i	−1.38650	−	0.294710i	−0.546575	−	0.837410i	$-0.684069\pi$
$941$	−42.5319	−	9.04044i	−1.38650	−	0.294710i	−0.839927	+	0.542700i	$0.817402\pi$
$942$	−4.68751	+	11.7320i	−0.152727	+	0.382250i
$943$	−2.44288	+	5.48681i	−0.0795513	+	0.178675i
$944$	−9.84211	−	3.19790i	−0.320334	−	0.104083i
$945$	7.80737	+	8.47181i	0.253974	+	0.275588i
$946$	34.4054	−	23.9783i	1.11862	−	0.779601i
$947$	−5.19891	+	3.00159i	−0.168942	+	0.0975387i	−0.582087	−	0.813127i	$-0.697764\pi$
$947$	−5.19891	+	3.00159i	−0.168942	+	0.0975387i	0.413145	+	0.910665i	$0.364430\pi$
$948$	2.86287	−	43.3418i	0.0929817	−	1.40768i
$949$	−0.0961395	−	0.914706i	−0.00312082	−	0.0296926i
$950$	5.87257	+	13.1900i	0.190531	+	0.427940i
$951$	4.98074	−	9.45517i	0.161511	−	0.306605i
$952$	−27.7067	−	24.9473i	−0.897980	−	0.808545i
$953$	4.38241	+	3.18400i	0.141960	+	0.103140i	0.656499	−	0.754327i	$-0.272037\pi$
$953$	4.38241	+	3.18400i	0.141960	+	0.103140i	−0.514539	+	0.857467i	$0.672037\pi$
$954$	6.25496	+	80.5220i	0.202512	+	2.60699i
$955$	0.518319	−	1.59522i	0.0167724	−	0.0516201i
$956$	13.9761	+	24.2073i	0.452020	+	0.782921i
$957$	33.9489	−	25.6706i	1.09741	−	0.829812i
$958$	41.7780	−	72.3616i	1.34979	−	2.33790i
$959$	−0.212827	−	0.236368i	−0.00687253	−	0.00763271i
$960$	8.00493	+	21.7323i	0.258358	+	0.701406i
$961$	3.09329	−	29.4307i	0.0997835	−	0.949376i
$962$	2.52328	−	0.819864i	0.0813539	−	0.0264335i
$963$	−23.8827	−	22.7099i	−0.769609	−	0.731818i
$964$	−7.88182	+	10.8484i	−0.253856	+	0.349403i
$965$	26.5973	+	11.8419i	0.856196	+	0.381203i
$966$	11.1574	+	22.6540i	0.358983	+	0.728879i
$967$	30.2152	+	17.4447i	0.971654	+	0.560985i	0.899740	−	0.436426i	$-0.143756\pi$
$967$	30.2152	+	17.4447i	0.971654	+	0.560985i	0.0719138	+	0.997411i	$0.477089\pi$
$968$	−53.3792	+	21.2938i	−1.71567	+	0.684409i
$969$	78.7888	−	19.9672i	2.53106	−	0.641440i
$970$	10.0092	+	47.0898i	0.321377	+	1.51196i
$971$	−25.4555	−	35.0365i	−0.816907	−	1.12438i	−0.990221	−	0.139509i	$-0.955447\pi$
$971$	−25.4555	−	35.0365i	−0.816907	−	1.12438i	0.173314	−	0.984867i	$-0.444553\pi$
$972$	−63.8623	+	5.70469i	−2.04838	+	0.182978i
$973$	0.698143	+	2.14866i	0.0223814	+	0.0688830i
$974$	−25.7500	+	28.5983i	−0.825084	+	0.916349i
$975$	−1.46462	−	0.585185i	−0.0469053	−	0.0187409i
$976$	27.0777	−	2.84598i	0.866736	−	0.0910977i
$977$	−24.1135	+	21.7119i	−0.771460	+	0.694625i	−0.957665	−	0.287885i	$-0.907048\pi$
$977$	−24.1135	+	21.7119i	−0.771460	+	0.694625i	0.186205	+	0.982511i	$0.440381\pi$
$978$	−67.8031	+	65.9838i	−2.16810	+	2.10993i
$979$	−2.54983	+	20.3956i	−0.0814930	+	0.651847i
$980$			48.9834i			1.56472i
$981$	−7.82577	+	1.44220i	−0.249858	+	0.0460460i
$982$	−16.6915	+	12.1271i	−0.532648	+	0.386991i
$983$	−17.7699	−	1.86769i	−0.566772	−	0.0595702i	−0.183191	−	0.983077i	$-0.558643\pi$
$983$	−17.7699	−	1.86769i	−0.566772	−	0.0595702i	−0.383581	+	0.923507i	$0.625309\pi$
$984$	0.387292	+	9.98647i	0.0123464	+	0.318357i
$985$	5.70214	−	26.8264i	0.181685	−	0.854762i
$986$	−110.137	+	49.0361i	−3.50748	+	1.56163i
$987$	−7.56951	+	2.78817i	−0.240940	+	0.0887486i
$988$	31.8958	−	6.77967i	1.01474	−	0.215690i
$989$	27.8116			0.884358
$990$	−50.2182	+	2.90942i	−1.59604	+	0.0924674i
$991$	21.5914			0.685875			0.342937	−	0.939358i	$-0.388578\pi$
$991$	21.5914			0.685875			0.342937	+	0.939358i	$0.388578\pi$
$992$	1.33435	−	0.283626i	0.0423658	−	0.00900512i
$993$	−4.96969	+	28.8342i	−0.157708	+	0.915025i
$994$	15.7646	−	7.01883i	0.500021	−	0.222624i
$995$	9.03761	−	42.5186i	0.286512	−	1.34793i
$996$	13.2202	−	8.33196i	0.418899	−	0.264008i
$997$	−23.7892	−	2.50034i	−0.753411	−	0.0791867i	−0.279966	−	0.960010i	$-0.590323\pi$
$997$	−23.7892	−	2.50034i	−0.753411	−	0.0791867i	−0.473445	+	0.880823i	$0.656990\pi$
$998$	0.364697	−	0.264968i	0.0115443	−	0.00838740i
$999$	−4.55742	+	2.09259i	−0.144190	+	0.0662066i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.68.2	yes	80
3.2	odd	2		297.2.t.a.233.9		80
9.2	odd	6	inner	99.2.p.a.2.2	✓	80
9.4	even	3		891.2.k.a.728.19		80
9.5	odd	6		891.2.k.a.728.2		80
9.7	even	3		297.2.t.a.35.9		80
11.6	odd	10	inner	99.2.p.a.50.2	yes	80
33.17	even	10		297.2.t.a.17.9		80
99.50	even	30		891.2.k.a.809.19		80
99.61	odd	30		297.2.t.a.116.9		80
99.83	even	30	inner	99.2.p.a.83.2	yes	80
99.94	odd	30		891.2.k.a.809.2		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.2.2	✓	80	9.2	odd	6	inner
99.2.p.a.50.2	yes	80	11.6	odd	10	inner
99.2.p.a.68.2	yes	80	1.1	even	1	trivial
99.2.p.a.83.2	yes	80	99.83	even	30	inner
297.2.t.a.17.9		80	33.17	even	10
297.2.t.a.35.9		80	9.7	even	3
297.2.t.a.116.9		80	99.61	odd	30
297.2.t.a.233.9		80	3.2	odd	2
891.2.k.a.728.2		80	9.5	odd	6
891.2.k.a.728.19		80	9.4	even	3
891.2.k.a.809.2		80	99.94	odd	30
891.2.k.a.809.19		80	99.50	even	30

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:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.41844 + 0.514054i) q^{2} +(1.33111 + 1.10822i) q^{3} +(3.75749 - 1.67294i) q^{4} +(0.425128 - 2.00007i) q^{5} +(-3.78889 - 1.99589i) q^{6} +(1.07838 + 0.113342i) q^{7} +(-4.22672 + 3.07089i) q^{8} +(0.543711 + 2.95032i) q^{9} +5.05558i q^{10} +(3.29101 + 0.411437i) q^{11} +(6.85561 + 1.93724i) q^{12} +(-0.826275 + 0.743982i) q^{13} +(-2.66625 + 0.280234i) q^{14} +(2.78241 - 2.19118i) q^{15} +(3.13907 - 3.48629i) q^{16} +(2.03372 + 6.25916i) q^{17} +(-2.83155 - 6.85566i) q^{18} +(-4.19112 - 5.76858i) q^{19} +(-1.74859 - 8.22645i) q^{20} +(1.30983 + 1.34595i) q^{21} +(-8.17059 + 0.696721i) q^{22} +(-4.70965 - 2.71912i) q^{23} +(-9.02945 - 0.596425i) q^{24} +(0.748176 + 0.333109i) q^{25} +(1.61585 - 2.22402i) q^{26} +(-2.54585 + 4.52975i) q^{27} +(4.24160 - 1.37818i) q^{28} +(0.774458 - 7.36848i) q^{29} +(-5.60268 + 6.72954i) q^{30} +(-0.793766 - 0.881566i) q^{31} +(-0.574983 + 0.995900i) q^{32} +(3.92473 + 4.19482i) q^{33} +(-8.13598 - 14.0919i) q^{34} +(0.685140 - 2.10865i) q^{35} +(6.97870 + 10.1762i) q^{36} +(0.780793 + 0.567279i) q^{37} +(13.1013 + 11.7965i) q^{38} +(-1.92436 + 0.0746298i) q^{39} +(4.34511 + 9.75927i) q^{40} +(-0.115443 - 1.09836i) q^{41} +(-3.85963 - 2.58176i) q^{42} +(-4.42893 + 2.55705i) q^{43} +(13.0542 - 3.95969i) q^{44} +(6.13199 + 0.166802i) q^{45} +(12.7877 + 4.15499i) q^{46} +(-1.74699 + 3.92381i) q^{47} +(8.04202 - 1.16187i) q^{48} +(-5.69698 - 1.21093i) q^{49} +(-1.98065 - 0.421000i) q^{50} +(-4.22939 + 10.5854i) q^{51} +(-1.86008 + 4.17781i) q^{52} +(-10.3556 - 3.36474i) q^{53} +(3.82844 - 12.2636i) q^{54} +(2.22200 - 6.40733i) q^{55} +(-4.90606 + 2.83251i) q^{56} +(0.813994 - 12.3233i) q^{57} +(1.91482 + 18.2183i) q^{58} +(-0.897232 - 2.01522i) q^{59} +(6.78913 - 12.8881i) q^{60} +(4.31301 + 3.88345i) q^{61} +(2.37284 + 1.72397i) q^{62} +(0.251931 + 3.24318i) q^{63} +(-2.02075 + 6.21923i) q^{64} +(1.13674 + 1.96890i) q^{65} +(-11.6481 - 8.12737i) q^{66} +(0.496739 - 0.860378i) q^{67} +(18.1129 + 20.1164i) q^{68} +(-3.25569 - 8.83875i) q^{69} +(-0.573009 + 5.45182i) q^{70} +(-6.12170 + 1.98906i) q^{71} +(-11.3582 - 10.8005i) q^{72} +(-0.486222 + 0.669227i) q^{73} +(-2.17991 - 0.970558i) q^{74} +(0.626747 + 1.27255i) q^{75} +(-25.3986 - 14.6639i) q^{76} +(3.50231 + 0.816693i) q^{77} +(4.61557 - 1.16971i) q^{78} +(-1.26766 - 5.96388i) q^{79} +(-5.63833 - 7.76049i) q^{80} +(-8.40876 + 3.20824i) q^{81} +(0.843809 + 2.59698i) q^{82} +(1.46775 - 1.63010i) q^{83} +(7.17336 + 2.86610i) q^{84} +(13.3834 - 1.40665i) q^{85} +(9.39663 - 8.46076i) q^{86} +(9.19676 - 8.94999i) q^{87} +(-15.1736 + 8.36730i) q^{88} +6.19738i q^{89} +(-14.9156 + 2.74878i) q^{90} +(-0.975360 + 0.708641i) q^{91} +(-22.2454 - 2.33808i) q^{92} +(-0.0796237 - 2.05313i) q^{93} +(2.20794 - 10.3875i) q^{94} +(-13.3193 + 5.93015i) q^{95} +(-1.86904 + 0.688447i) q^{96} +(9.31442 - 1.97984i) q^{97} +14.4003 q^{98} +(0.575486 + 9.93322i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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