LMFDB - Embedded newform 238.2.q.a.25.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [238,2,Mod(9,238)] 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("238.9"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(238, base_ring=CyclotomicField(24)) chi = DirichletCharacter(H, H._module([8, 3])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 238 = 2 \cdot 7 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	238.q (of order $24$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [16] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$1.90043956811$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$2$ over $\Q(\zeta_{24})$
Coefficient field:	16.0.2353561680715186176.2
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{15} + 2 x^{14} + 41 x^{12} - 92 x^{11} + 66 x^{10} - 104 x^{9} + 291 x^{8} - 388 x^{7} + \cdots + 4 $ x^16 - 4x^15 + 2x^14 + 41x^12 - 92x^11 + 66x^10 - 104x^9 + 291x^8 - 388x^7 + 366x^6 - 344x^5 + 286x^4 - 184x^3 + 84x^2 - 24x + 4
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 2^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			25.1
Root			$2.07391 - 0.620024i$ of defining polynomial
Character	$\chi$	$=$	238.25
Dual form			238.2.q.a.219.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.965926 + 0.258819i) q^{2} +(-0.884777 - 1.15306i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.241181 + 1.83195i) q^{5} +(-0.556194 - 1.34277i) q^{6} +(2.36988 - 1.17630i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.229731 - 0.857367i) q^{9} +(-0.241181 + 1.83195i) q^{10} +(2.61157 + 0.343820i) q^{11} +(-0.189708 - 1.44097i) q^{12} +0.857117i q^{13} +(2.59357 - 0.522848i) q^{14} +(1.89897 - 1.89897i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-4.12200 - 0.0953372i) q^{17} +(0.443806 - 0.768694i) q^{18} +(2.06987 + 0.554619i) q^{19} +(-0.707107 + 1.70711i) q^{20} +(-3.45316 - 1.69186i) q^{21} +(2.43360 + 1.00803i) q^{22} +(0.118938 - 0.155003i) q^{23} +(0.189708 - 1.44097i) q^{24} +(1.53175 - 0.410432i) q^{25} +(-0.221838 + 0.827911i) q^{26} +(-5.22018 + 2.16227i) q^{27} +(2.64052 + 0.166235i) q^{28} +(-5.90790 - 2.44713i) q^{29} +(2.32575 - 1.34277i) q^{30} +(-0.626647 - 0.816663i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-1.91421 - 3.31552i) q^{33} +(-3.95687 - 1.15894i) q^{34} +(2.72649 + 4.05780i) q^{35} +(0.627636 - 0.627636i) q^{36} +(-7.77231 + 1.02324i) q^{37} +(1.85579 + 1.07144i) q^{38} +(0.988311 - 0.758358i) q^{39} +(-1.12484 + 1.46593i) q^{40} +(-8.97716 + 3.71846i) q^{41} +(-2.89761 - 2.52796i) q^{42} +(2.66949 + 2.66949i) q^{43} +(2.08978 + 1.60354i) q^{44} +(1.62606 + 0.214075i) q^{45} +(0.155003 - 0.118938i) q^{46} +(-7.98371 + 4.60940i) q^{47} +(0.556194 - 1.34277i) q^{48} +(4.23264 - 5.57537i) q^{49} +1.58579 q^{50} +(3.53713 + 4.83729i) q^{51} +(-0.428558 + 0.742285i) q^{52} +(2.19195 + 8.18047i) q^{53} +(-5.60194 + 0.737509i) q^{54} +4.86720i q^{55} +(2.50753 + 0.843988i) q^{56} +(-1.19186 - 2.87740i) q^{57} +(-5.07323 - 3.89282i) q^{58} +(3.95832 - 1.06063i) q^{59} +(2.59404 - 0.695070i) q^{60} +(-7.78686 - 5.97507i) q^{61} +(-0.393927 - 0.951024i) q^{62} +(-0.464085 - 2.30209i) q^{63} +1.00000i q^{64} +(-1.57020 + 0.206720i) q^{65} +(-0.990870 - 3.69798i) q^{66} +(0.309854 - 0.536683i) q^{67} +(-3.52209 - 2.14357i) q^{68} -0.283962 q^{69} +(1.58335 + 4.62520i) q^{70} +(2.70916 - 6.54048i) q^{71} +(0.768694 - 0.443806i) q^{72} +(7.51180 - 5.76401i) q^{73} +(-7.77231 - 1.02324i) q^{74} +(-1.82851 - 1.40307i) q^{75} +(1.51525 + 1.51525i) q^{76} +(6.59354 - 2.25718i) q^{77} +(1.15091 - 0.476724i) q^{78} +(2.67602 - 3.48746i) q^{79} +(-1.46593 + 1.12484i) q^{80} +(4.80585 + 2.77466i) q^{81} +(-9.63368 + 1.26830i) q^{82} +(6.09795 - 6.09795i) q^{83} +(-2.14460 - 3.19177i) q^{84} +(-0.819496 - 7.57430i) q^{85} +(1.88761 + 3.26944i) q^{86} +(2.40547 + 8.97735i) q^{87} +(1.60354 + 2.08978i) q^{88} +(8.70057 - 5.02328i) q^{89} +(1.51525 + 0.627636i) q^{90} +(1.00823 + 2.03126i) q^{91} +(0.180504 - 0.0747674i) q^{92} +(-0.387221 + 1.44513i) q^{93} +(-8.90467 + 2.38600i) q^{94} +(-0.516823 + 3.92566i) q^{95} +(0.884777 - 1.15306i) q^{96} +(0.356306 + 0.147587i) q^{97} +(5.53143 - 4.28990i) q^{98} +(0.894738 - 2.16009i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 4 q^{3} + 8 q^{5} - 8 q^{6} + 12 q^{7} - 4 q^{9} - 8 q^{10} + 4 q^{11} - 12 q^{14} + 8 q^{15} + 8 q^{16} + 8 q^{18} + 12 q^{19} - 16 q^{22} + 8 q^{23} - 8 q^{25} - 12 q^{26} - 8 q^{27} - 40 q^{29}+ \cdots + 32 q^{99}+O(q^{100}) $ 16 * q + 4 * q^3 + 8 * q^5 - 8 * q^6 + 12 * q^7 - 4 * q^9 - 8 * q^10 + 4 * q^11 - 12 * q^14 + 8 * q^15 + 8 * q^16 + 8 * q^18 + 12 * q^19 - 16 * q^22 + 8 * q^23 - 8 * q^25 - 12 * q^26 - 8 * q^27 - 40 * q^29 + 20 * q^31 - 8 * q^33 + 8 * q^36 - 24 * q^37 + 4 * q^39 - 24 * q^41 - 20 * q^42 + 16 * q^43 - 8 * q^44 + 4 * q^45 + 8 * q^46 + 8 * q^48 + 48 * q^50 + 4 * q^51 - 8 * q^52 + 24 * q^53 + 12 * q^56 - 8 * q^57 - 20 * q^58 - 32 * q^59 + 4 * q^60 + 4 * q^61 - 40 * q^62 + 28 * q^63 + 12 * q^65 + 16 * q^66 - 24 * q^67 - 48 * q^69 - 12 * q^70 - 72 * q^71 + 8 * q^73 - 24 * q^74 + 4 * q^75 + 24 * q^76 + 12 * q^77 + 8 * q^78 - 8 * q^80 - 12 * q^82 + 80 * q^83 + 8 * q^84 + 32 * q^86 + 12 * q^87 - 4 * q^88 + 24 * q^90 - 40 * q^91 + 16 * q^92 - 12 * q^93 - 12 * q^94 - 28 * q^95 - 4 * q^96 + 24 * q^97 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/238\mathbb{Z}\right)^\times$.

$n$	$71$	$171$
$\chi(n)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	0.965926	+	0.258819i	0.683013	+	0.183013i
$2$	0.965926	+	0.258819i	0.683013	+	0.183013i
$3$	−0.884777	−	1.15306i	−0.510827	−	0.665722i	0.464735	−	0.885450i	$-0.346150\pi$
$3$	−0.884777	−	1.15306i	−0.510827	−	0.665722i	−0.975561	+	0.219728i	$0.929483\pi$
$4$	0.866025	+	0.500000i	0.433013	+	0.250000i
$5$	0.241181	+	1.83195i	0.107859	+	0.819273i	0.956792	+	0.290773i	$0.0939123\pi$
$5$	0.241181	+	1.83195i	0.107859	+	0.819273i	−0.848933	+	0.528501i	$0.822754\pi$
$6$	−0.556194	−	1.34277i	−0.227065	−	0.548184i
$7$	2.36988	−	1.17630i	0.895730	−	0.444599i
$7$	2.36988	−	1.17630i	0.895730	−	0.444599i
$8$	0.707107	+	0.707107i	0.250000	+	0.250000i
$9$	0.229731	−	0.857367i	0.0765769	−	0.285789i
$10$	−0.241181	+	1.83195i	−0.0762681	+	0.579314i
$11$	2.61157	+	0.343820i	0.787419	+	0.103666i	0.513503	−	0.858088i	$-0.328348\pi$
$11$	2.61157	+	0.343820i	0.787419	+	0.103666i	0.273916	+	0.961754i	$0.411681\pi$
$12$	−0.189708	−	1.44097i	−0.0547638	−	0.415973i
$13$			0.857117i			0.237721i	0.992911	+	0.118861i	$0.0379242\pi$
$13$			0.857117i			0.237721i	−0.992911	+	0.118861i	$0.962076\pi$
$14$	2.59357	−	0.522848i	0.693162	−	0.139737i
$15$	1.89897	−	1.89897i	0.490311	−	0.490311i
$16$	0.500000	+	0.866025i	0.125000	+	0.216506i
$17$	−4.12200	−	0.0953372i	−0.999733	−	0.0231227i
$17$	−4.12200	−	0.0953372i	−0.999733	−	0.0231227i
$18$	0.443806	−	0.768694i	0.104606	−	0.181183i
$19$	2.06987	+	0.554619i	0.474860	+	0.127238i	0.488308	−	0.872671i	$-0.337614\pi$
$19$	2.06987	+	0.554619i	0.474860	+	0.127238i	−0.0134483	+	0.999910i	$0.504281\pi$
$20$	−0.707107	+	1.70711i	−0.158114	+	0.381721i
$21$	−3.45316	−	1.69186i	−0.753542	−	0.369194i
$22$	2.43360	+	1.00803i	0.518845	+	0.214913i
$23$	0.118938	−	0.155003i	0.0248002	−	0.0323203i	−0.780789	−	0.624795i	$-0.785182\pi$
$23$	0.118938	−	0.155003i	0.0248002	−	0.0323203i	0.805589	+	0.592475i	$0.201849\pi$
$24$	0.189708	−	1.44097i	0.0387239	−	0.294137i
$25$	1.53175	−	0.410432i	0.306350	−	0.0820863i
$26$	−0.221838	+	0.827911i	−0.0435060	+	0.162367i
$27$	−5.22018	+	2.16227i	−1.00462	+	0.416129i
$28$	2.64052	+	0.166235i	0.499012	+	0.0314154i
$29$	−5.90790	−	2.44713i	−1.09707	−	0.454421i	−0.240603	−	0.970624i	$-0.577345\pi$
$29$	−5.90790	−	2.44713i	−1.09707	−	0.454421i	−0.856466	+	0.516203i	$0.827345\pi$
$30$	2.32575	−	1.34277i	0.424622	−	0.245155i
$31$	−0.626647	−	0.816663i	−0.112549	−	0.146677i	0.733682	−	0.679493i	$-0.237800\pi$
$31$	−0.626647	−	0.816663i	−0.112549	−	0.146677i	−0.846231	+	0.532816i	$0.821134\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	−1.91421	−	3.31552i	−0.333222	−	0.577157i
$34$	−3.95687	−	1.15894i	−0.678598	−	0.198757i
$35$	2.72649	+	4.05780i	0.460861	+	0.685893i
$36$	0.627636	−	0.627636i	0.104606	−	0.104606i
$37$	−7.77231	+	1.02324i	−1.27776	+	0.168220i	−0.738693	−	0.674042i	$-0.764557\pi$
$37$	−7.77231	+	1.02324i	−1.27776	+	0.168220i	−0.539067	+	0.842263i	$0.681223\pi$
$38$	1.85579	+	1.07144i	0.301049	+	0.173811i
$39$	0.988311	−	0.758358i	0.158256	−	0.121434i
$40$	−1.12484	+	1.46593i	−0.177854	+	0.231783i
$41$	−8.97716	+	3.71846i	−1.40200	+	0.580726i	−0.950269	−	0.311430i	$-0.899192\pi$
$41$	−8.97716	+	3.71846i	−1.40200	+	0.580726i	−0.451728	+	0.892156i	$0.649192\pi$
$42$	−2.89761	−	2.52796i	−0.447111	−	0.390072i
$43$	2.66949	+	2.66949i	0.407093	+	0.407093i	0.880723	−	0.473631i	$-0.157057\pi$
$43$	2.66949	+	2.66949i	0.407093	+	0.407093i	−0.473631	+	0.880723i	$0.657057\pi$
$44$	2.08978	+	1.60354i	0.315046	+	0.241743i
$45$	1.62606	+	0.214075i	0.242399	+	0.0319124i
$46$	0.155003	−	0.118938i	0.0228539	−	0.0175364i
$47$	−7.98371	+	4.60940i	−1.16454	+	0.672350i	−0.952389	−	0.304886i	$-0.901382\pi$
$47$	−7.98371	+	4.60940i	−1.16454	+	0.672350i	−0.212155	+	0.977236i	$0.568048\pi$
$48$	0.556194	−	1.34277i	0.0802797	−	0.193812i
$49$	4.23264	−	5.57537i	0.604663	−	0.796481i
$50$	1.58579			0.224264
$51$	3.53713	+	4.83729i	0.495297	+	0.677356i
$52$	−0.428558	+	0.742285i	−0.0594304	+	0.102936i
$53$	2.19195	+	8.18047i	0.301087	+	1.12367i	0.936261	+	0.351304i	$0.114262\pi$
$53$	2.19195	+	8.18047i	0.301087	+	1.12367i	−0.635174	+	0.772369i	$0.719072\pi$
$54$	−5.60194	+	0.737509i	−0.762327	+	0.100362i
$55$			4.86720i			0.656293i
$56$	2.50753	+	0.843988i	0.335082	+	0.112783i
$57$	−1.19186	−	2.87740i	−0.157866	−	0.381121i
$58$	−5.07323	−	3.89282i	−0.666147	−	0.511153i
$59$	3.95832	−	1.06063i	0.515329	−	0.138082i	0.00822393	−	0.999966i	$-0.497382\pi$
$59$	3.95832	−	1.06063i	0.515329	−	0.138082i	0.507105	+	0.861884i	$0.330716\pi$
$60$	2.59404	−	0.695070i	0.334889	−	0.0897331i
$61$	−7.78686	−	5.97507i	−0.997005	−	0.765029i	−0.0249275	−	0.999689i	$-0.507935\pi$
$61$	−7.78686	−	5.97507i	−0.997005	−	0.765029i	−0.972077	+	0.234661i	$0.924602\pi$
$62$	−0.393927	−	0.951024i	−0.0500288	−	0.120780i
$63$	−0.464085	−	2.30209i	−0.0584693	−	0.290036i
$64$			1.00000i			0.125000i
$65$	−1.57020	+	0.206720i	−0.194759	+	0.0256405i
$66$	−0.990870	−	3.69798i	−0.121968	−	0.455189i
$67$	0.309854	−	0.536683i	0.0378547	−	0.0655663i	−0.846477	−	0.532425i	$-0.821281\pi$
$67$	0.309854	−	0.536683i	0.0378547	−	0.0655663i	0.884332	+	0.466858i	$0.154614\pi$
$68$	−3.52209	−	2.14357i	−0.427116	−	0.259946i
$69$	−0.283962			−0.0341850
$70$	1.58335	+	4.62520i	0.189247	+	0.552817i
$71$	2.70916	−	6.54048i	0.321518	−	0.776212i	−0.677649	−	0.735386i	$-0.737001\pi$
$71$	2.70916	−	6.54048i	0.321518	−	0.776212i	0.999166	−	0.0408265i	$-0.0129991\pi$
$72$	0.768694	−	0.443806i	0.0905914	−	0.0523030i
$73$	7.51180	−	5.76401i	0.879190	−	0.674626i	−0.0671695	−	0.997742i	$-0.521397\pi$
$73$	7.51180	−	5.76401i	0.879190	−	0.674626i	0.946360	+	0.323115i	$0.104730\pi$
$74$	−7.77231	−	1.02324i	−0.903513	−	0.118950i
$75$	−1.82851	−	1.40307i	−0.211139	−	0.162012i
$76$	1.51525	+	1.51525i	0.173811	+	0.173811i
$77$	6.59354	−	2.25718i	0.751404	−	0.257229i
$78$	1.15091	−	0.476724i	0.130315	−	0.0539783i
$79$	2.67602	−	3.48746i	0.301076	−	0.392370i	−0.618176	−	0.786040i	$-0.712128\pi$
$79$	2.67602	−	3.48746i	0.301076	−	0.392370i	0.919252	+	0.393670i	$0.128795\pi$
$80$	−1.46593	+	1.12484i	−0.163895	+	0.125761i
$81$	4.80585	+	2.77466i	0.533983	+	0.308295i
$82$	−9.63368	+	1.26830i	−1.06386	+	0.140060i
$83$	6.09795	−	6.09795i	0.669337	−	0.669337i	−0.288225	−	0.957563i	$-0.593065\pi$
$83$	6.09795	−	6.09795i	0.669337	−	0.669337i	0.957563	+	0.288225i	$0.0930652\pi$
$84$	−2.14460	−	3.19177i	−0.233995	−	0.348251i
$85$	−0.819496	−	7.57430i	−0.0888868	−	0.821548i
$86$	1.88761	+	3.26944i	0.203546	+	0.352553i
$87$	2.40547	+	8.97735i	0.257894	+	0.962473i
$88$	1.60354	+	2.08978i	0.170938	+	0.222771i
$89$	8.70057	−	5.02328i	0.922259	−	0.532466i	0.0379037	−	0.999281i	$-0.487932\pi$
$89$	8.70057	−	5.02328i	0.922259	−	0.532466i	0.884355	+	0.466815i	$0.154599\pi$
$90$	1.51525	+	0.627636i	0.159721	+	0.0661586i
$91$	1.00823	+	2.03126i	0.105691	+	0.212934i
$92$	0.180504	−	0.0747674i	0.0188189	−	0.00779504i
$93$	−0.387221	+	1.44513i	−0.0401530	+	0.149853i
$94$	−8.90467	+	2.38600i	−0.918447	+	0.246097i
$95$	−0.516823	+	3.92566i	−0.0530249	+	0.402764i
$96$	0.884777	−	1.15306i	0.0903022	−	0.117684i
$97$	0.356306	+	0.147587i	0.0361774	+	0.0149851i	0.400699	−	0.916210i	$-0.368767\pi$
$97$	0.356306	+	0.147587i	0.0361774	+	0.0149851i	−0.364521	+	0.931195i	$0.618767\pi$
$98$	5.53143	−	4.28990i	0.558759	−	0.433346i
$99$	0.894738	−	2.16009i	0.0899246	−	0.217097i
$100$	1.53175	+	0.410432i	0.153175	+	0.0410432i
$101$	0.915025	−	1.58487i	0.0910484	−	0.157700i	−0.816904	−	0.576773i	$-0.804312\pi$
$101$	0.915025	−	1.58487i	0.0910484	−	0.157700i	0.907953	+	0.419073i	$0.137645\pi$
$102$	2.16462	+	5.58794i	0.214329	+	0.553288i
$103$	0.0271687	+	0.0470575i	0.00267701	+	0.00463671i	0.867361	−	0.497680i	$-0.165815\pi$
$103$	0.0271687	+	0.0470575i	0.00267701	+	0.00463671i	−0.864684	+	0.502317i	$0.832481\pi$
$104$	−0.606073	+	0.606073i	−0.0594304	+	0.0594304i
$105$	2.26657	−	6.73407i	0.221194	−	0.657178i
$106$			8.46904i			0.822586i
$107$	2.38252	+	18.0970i	0.230327	+	1.74951i	0.581823	+	0.813316i	$0.302340\pi$
$107$	2.38252	+	18.0970i	0.230327	+	1.74951i	−0.351496	+	0.936189i	$0.614327\pi$
$108$	−5.60194	−	0.737509i	−0.539047	−	0.0709669i
$109$	−1.63200	+	12.3962i	−0.156317	+	1.18735i	0.715892	+	0.698211i	$0.246020\pi$
$109$	−1.63200	+	12.3962i	−0.156317	+	1.18735i	−0.872209	+	0.489134i	$0.837313\pi$
$110$	−1.25972	+	4.70135i	−0.120110	+	0.448256i
$111$	8.05663	+	8.05663i	0.764702	+	0.764702i
$112$	2.20364	+	1.46423i	0.208225	+	0.138356i
$113$	−6.45949	−	15.5946i	−0.607658	−	1.46702i	−0.865540	−	0.500839i	$-0.833025\pi$
$113$	−6.45949	−	15.5946i	−0.607658	−	1.46702i	0.257883	−	0.966176i	$-0.416975\pi$
$114$	−0.406521	−	3.08783i	−0.0380742	−	0.289202i
$115$	0.312643	+	0.180504i	0.0291541	+	0.0168321i
$116$	−3.89282	−	5.07323i	−0.361440	−	0.471037i
$117$	0.734863	+	0.196906i	0.0679381	+	0.0182040i
$118$	4.09795			0.377247
$119$	−9.88079	+	4.62277i	−0.905771	+	0.423769i
$120$	2.68554			0.245155
$121$	−3.92309	−	1.05119i	−0.356644	−	0.0955625i
$122$	−5.97507	−	7.78686i	−0.540957	−	0.704989i
$123$	12.2304	+	7.06123i	1.10278	+	0.636690i
$124$	−0.134361	−	1.02057i	−0.0120660	−	0.0916503i
$125$	4.65685	+	11.2426i	0.416522	+	1.00557i
$126$	0.147552	−	2.34376i	0.0131449	−	0.208799i
$127$	−7.04185	−	7.04185i	−0.624863	−	0.624863i	0.321908	−	0.946771i	$-0.395676\pi$
$127$	−7.04185	−	7.04185i	−0.624863	−	0.624863i	−0.946771	+	0.321908i	$0.895676\pi$
$128$	−0.258819	+	0.965926i	−0.0228766	+	0.0853766i
$129$	0.716188	−	5.43999i	0.0630569	−	0.478964i
$130$	−1.57020	−	0.206720i	−0.137715	−	0.0181306i
$131$	1.88197	+	14.2950i	0.164429	+	1.24896i	0.852271	+	0.523101i	$0.175225\pi$
$131$	1.88197	+	14.2950i	0.164429	+	1.24896i	−0.687842	+	0.725861i	$0.741442\pi$
$132$		−	3.82843i		−	0.333222i
$133$	5.55773	−	1.12040i	0.481916	−	0.0971511i
$134$	0.438200	−	0.438200i	0.0378547	−	0.0378547i
$135$	−5.22018	−	9.04161i	−0.449281	−	0.778178i
$136$	−2.84728	−	2.98211i	−0.244152	−	0.255714i
$137$	−10.8415	+	18.7780i	−0.926251	+	1.60431i	−0.136716	+	0.990610i	$0.543655\pi$
$137$	−10.8415	+	18.7780i	−0.926251	+	1.60431i	−0.789536	+	0.613704i	$0.789679\pi$
$138$	−0.274286	−	0.0734947i	−0.0233488	−	0.00625628i
$139$	5.72877	−	13.8305i	0.485908	−	1.17309i	−0.470853	−	0.882212i	$-0.656054\pi$
$139$	5.72877	−	13.8305i	0.485908	−	1.17309i	0.956761	−	0.290874i	$-0.0939461\pi$
$140$	0.332310	+	4.87740i	0.0280854	+	0.412216i
$141$	12.3787	+	5.12744i	1.04248	+	0.431809i
$142$	4.30965	−	5.61644i	0.361657	−	0.471321i
$143$	−0.294694	+	2.23842i	−0.0246435	+	0.187186i
$144$	0.857367	−	0.229731i	0.0714472	−	0.0191442i
$145$	3.05815	−	11.4132i	0.253966	−	0.947813i
$146$	8.74768	−	3.62341i	0.723963	−	0.299875i
$147$	−10.1737	+	0.0524496i	−0.839113	+	0.00432597i
$148$	−7.24264	−	3.00000i	−0.595341	−	0.246598i
$149$	−0.511837	+	0.295509i	−0.0419313	+	0.0242091i	−0.520819	−	0.853667i	$-0.674373\pi$
$149$	−0.511837	+	0.295509i	−0.0419313	+	0.0242091i	0.478888	+	0.877876i	$0.341040\pi$
$150$	−1.40307	−	1.82851i	−0.114560	−	0.149298i
$151$	−3.10689	−	11.5951i	−0.252835	−	0.943593i	−0.969282	−	0.245952i	$-0.920899\pi$
$151$	−3.10689	−	11.5951i	−0.252835	−	0.943593i	0.716447	−	0.697642i	$-0.245767\pi$
$152$	1.07144	+	1.85579i	0.0869054	+	0.150525i
$153$	−1.02869	+	3.51217i	−0.0831646	+	0.283942i
$154$	6.95307	−	0.473731i	0.560295	−	0.0381744i
$155$	1.34495	−	1.34495i	0.108029	−	0.108029i
$156$	1.23508	−	0.162602i	0.0988856	−	0.0130185i
$157$	15.2253	+	8.79034i	1.21511	+	0.701546i	0.963869	−	0.266378i	$-0.0858270\pi$
$157$	15.2253	+	8.79034i	1.21511	+	0.701546i	0.251244	+	0.967924i	$0.419160\pi$
$158$	3.48746	−	2.67602i	0.277447	−	0.212893i
$159$	7.49322	−	9.76535i	0.594251	−	0.774443i
$160$	−1.70711	+	0.707107i	−0.134959	+	0.0559017i
$161$	0.0995385	−	0.507244i	0.00784474	−	0.0399764i
$162$	3.92396	+	3.92396i	0.308295	+	0.308295i
$163$	−0.284804	−	0.218538i	−0.0223076	−	0.0171172i	0.597547	−	0.801834i	$-0.296142\pi$
$163$	−0.284804	−	0.218538i	−0.0223076	−	0.0171172i	−0.619855	+	0.784716i	$0.712809\pi$
$164$	−9.63368	−	1.26830i	−0.752264	−	0.0990374i
$165$	5.61219	−	4.30638i	0.436908	−	0.335252i
$166$	7.46844	−	4.31190i	0.579663	−	0.334669i
$167$	0.0625100	−	0.150912i	0.00483717	−	0.0116780i	−0.921442	−	0.388515i	$-0.872988\pi$
$167$	0.0625100	−	0.150912i	0.00483717	−	0.0116780i	0.926280	+	0.376837i	$0.122988\pi$
$168$	−1.24543	−	3.63808i	−0.0960870	−	0.280684i
$169$	12.2654			0.943489
$170$	1.16880	−	7.52832i	0.0896430	−	0.577395i
$171$	0.951024	−	1.64722i	0.0727266	−	0.125966i
$172$	0.977099	+	3.64658i	0.0745031	+	0.278049i
$173$	5.73116	−	0.754522i	0.435732	−	0.0573652i	0.0905304	−	0.995894i	$-0.471144\pi$
$173$	5.73116	−	0.754522i	0.435732	−	0.0573652i	0.345202	+	0.938528i	$0.387810\pi$
$174$			9.29404i			0.704579i
$175$	3.14728	−	2.77447i	0.237912	−	0.209730i
$176$	1.00803	+	2.43360i	0.0759831	+	0.183439i
$177$	−4.72520	−	3.62578i	−0.355168	−	0.272530i
$178$	9.70422	−	2.60024i	0.727362	−	0.194896i
$179$	16.0229	−	4.29331i	1.19760	−	0.320897i	0.395717	−	0.918372i	$-0.370496\pi$
$179$	16.0229	−	4.29331i	1.19760	−	0.320897i	0.801887	+	0.597475i	$0.203829\pi$
$180$	1.30117	+	0.998425i	0.0969837	+	0.0744182i
$181$	1.25332	+	3.02579i	0.0931588	+	0.224905i	0.963590	−	0.267385i	$-0.0861597\pi$
$181$	1.25332	+	3.02579i	0.0931588	+	0.224905i	−0.870431	+	0.492291i	$0.836160\pi$
$182$	0.448141	+	2.22300i	0.0332185	+	0.164779i
$183$			14.2654i			1.05453i
$184$	0.193705	−	0.0255018i	0.0142801	−	0.00188002i
$185$	−3.74907	−	13.9917i	−0.275637	−	1.02869i
$186$	−0.748054	+	1.29567i	−0.0548500	+	0.0950029i
$187$	−10.7321	−	1.66621i	−0.784811	−	0.121845i
$188$	−9.21880			−0.672350
$189$	−9.82771	+	11.2648i	−0.714860	+	0.819393i
$190$	−1.51525	+	3.65813i	−0.109928	+	0.265389i
$191$	−3.32645	+	1.92053i	−0.240694	+	0.138965i	−0.615496	−	0.788140i	$-0.711044\pi$
$191$	−3.32645	+	1.92053i	−0.240694	+	0.138965i	0.374802	+	0.927105i	$0.377711\pi$
$192$	1.15306	−	0.884777i	0.0832153	−	0.0638533i
$193$	−26.1129	−	3.43783i	−1.87965	−	0.247460i	−0.898255	−	0.439475i	$-0.855164\pi$
$193$	−26.1129	−	3.43783i	−1.87965	−	0.247460i	−0.981392	+	0.192015i	$0.938498\pi$
$194$	0.305967	+	0.234776i	0.0219671	+	0.0168560i
$195$	1.62764	+	1.62764i	0.116557	+	0.116557i
$196$	6.45326	−	2.71209i	0.460947	−	0.193721i
$197$	−21.6035	+	8.94847i	−1.53919	+	0.637552i	−0.981321	−	0.192379i	$-0.938380\pi$
$197$	−21.6035	+	8.94847i	−1.53919	+	0.637552i	−0.557866	+	0.829931i	$0.688380\pi$
$198$	1.42332	−	1.85491i	0.101151	−	0.131823i
$199$	−4.75160	+	3.64603i	−0.336832	+	0.258460i	−0.763303	−	0.646041i	$-0.776423\pi$
$199$	−4.75160	+	3.64603i	−0.336832	+	0.258460i	0.426471	+	0.904501i	$0.359757\pi$
$200$	1.37333	+	0.792893i	0.0971092	+	0.0560660i
$201$	−0.892982	+	0.117563i	−0.0629861	+	0.00829228i
$202$	1.29404	−	1.29404i	0.0910484	−	0.0910484i
$203$	−16.8796	+	1.15005i	−1.18471	+	0.0807176i
$204$	0.644597	+	5.95778i	0.0451308	+	0.417128i
$205$	−8.97716	−	15.5489i	−0.626992	−	1.08598i
$206$	0.0140635	+	0.0524858i	0.000979853	+	0.00365686i
$207$	−0.105571	−	0.137582i	−0.00733766	−	0.00956262i
$208$	−0.742285	+	0.428558i	−0.0514682	+	0.0297152i
$209$	5.21492	+	2.16009i	0.360723	+	0.149416i
$210$	3.93224	−	5.91798i	0.271350	−	0.408380i
$211$	24.7578	−	10.2550i	1.70439	−	0.705983i	0.704402	−	0.709802i	$-0.251215\pi$
$211$	24.7578	−	10.2550i	1.70439	−	0.705983i	0.999993	+	0.00381826i	$0.00121539\pi$
$212$	−2.19195	+	8.18047i	−0.150544	+	0.561837i
$213$	−9.93860	+	2.66304i	−0.680982	+	0.182468i
$214$	−2.38252	+	18.0970i	−0.162866	+	1.23709i
$215$	−4.24654	+	5.53420i	−0.289611	+	0.377429i
$216$	−5.22018	−	2.16227i	−0.355188	−	0.147124i
$217$	−2.44572	−	1.19827i	−0.166026	−	0.0813436i
$218$	−4.78477	+	11.5515i	−0.324066	+	0.782364i
$219$	−13.2925	−	3.56173i	−0.898227	−	0.240679i
$220$	−2.43360	+	4.21512i	−0.164073	+	0.284183i
$221$	0.0817152	−	3.53304i	0.00549676	−	0.237658i
$222$	5.69690	+	9.86732i	0.382351	+	0.662251i
$223$	1.48005	−	1.48005i	0.0991114	−	0.0991114i	−0.655812	−	0.754924i	$-0.727674\pi$
$223$	1.48005	−	1.48005i	0.0991114	−	0.0991114i	0.754924	+	0.655812i	$0.227674\pi$
$224$	1.74959	+	1.98468i	0.116899	+	0.132607i
$225$		−	1.40756i		−	0.0938375i
$226$	−2.20321	−	16.7351i	−0.146555	−	1.11320i
$227$	7.04194	+	0.927089i	0.467390	+	0.0615331i	0.360543	−	0.932742i	$-0.382591\pi$
$227$	7.04194	+	0.927089i	0.467390	+	0.0615331i	0.106847	+	0.994276i	$0.465925\pi$
$228$	0.406521	−	3.08783i	0.0269225	−	0.204497i
$229$	0.511100	−	1.90745i	0.0337744	−	0.126048i	−0.946980	−	0.321291i	$-0.895883\pi$
$229$	0.511100	−	1.90745i	0.0337744	−	0.126048i	0.980755	+	0.195244i	$0.0625498\pi$
$230$	0.255272	+	0.255272i	0.0168321	+	0.0168321i
$231$	−8.43649	−	5.60568i	−0.555080	−	0.368827i
$232$	−2.44713	−	5.90790i	−0.160662	−	0.387873i
$233$	1.71907	+	13.0576i	0.112620	+	0.855432i	0.950749	+	0.309961i	$0.100316\pi$
$233$	1.71907	+	13.0576i	0.112620	+	0.855432i	−0.838130	+	0.545471i	$0.816351\pi$
$234$	0.658860	+	0.380393i	0.0430711	+	0.0248671i
$235$	−10.3697	−	13.5141i	−0.676446	−	0.881561i
$236$	3.95832	+	1.06063i	0.257665	+	0.0690410i
$237$	−6.38895			−0.415007
$238$	−10.7406	+	1.90792i	−0.696208	+	0.123672i
$239$	−15.6864			−1.01467			−0.507335	−	0.861749i	$-0.669369\pi$
$239$	−15.6864			−1.01467			−0.507335	+	0.861749i	$0.669369\pi$
$240$	2.59404	+	0.695070i	0.167444	+	0.0448666i
$241$	−1.87043	−	2.43759i	−0.120485	−	0.157019i	0.729217	−	0.684283i	$-0.239885\pi$
$241$	−1.87043	−	2.43759i	−0.120485	−	0.157019i	−0.849702	+	0.527264i	$0.823218\pi$
$242$	−3.51734	−	2.03074i	−0.226103	−	0.130541i
$243$	1.15978	+	8.80941i	0.0744000	+	0.565124i
$244$	−3.75608	−	9.06799i	−0.240459	−	0.580518i
$245$	11.2346	+	6.40932i	0.717755	+	0.409477i
$246$	9.98609	+	9.98609i	0.636690	+	0.636690i
$247$	−0.475373	+	1.77412i	−0.0302473	+	0.112884i
$248$	0.134361	−	1.02057i	0.00853194	−	0.0648065i
$249$	−12.4267	−	1.63600i	−0.787508	−	0.103677i
$250$	1.58837	+	12.0648i	0.100457	+	0.763047i
$251$		−	20.1903i		−	1.27440i	−0.770698	−	0.637201i	$-0.780092\pi$
$251$		−	20.1903i		−	1.27440i	0.770698	−	0.637201i	$-0.219908\pi$
$252$	0.749133	−	2.22571i	0.0471910	−	0.140206i
$253$	0.363908	−	0.363908i	0.0228787	−	0.0228787i
$254$	−4.97934	−	8.62447i	−0.312432	−	0.541147i
$255$	−8.00859	+	7.64650i	−0.501517	+	0.478843i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−20.7424	−	5.55790i	−1.29387	−	0.346692i	−0.454743	−	0.890623i	$-0.650269\pi$
$257$	−20.7424	−	5.55790i	−1.29387	−	0.346692i	−0.839130	+	0.543931i	$0.816935\pi$
$258$	2.09976	−	5.06926i	0.130725	−	0.315599i
$259$	−17.2158	+	11.5675i	−1.06974	+	0.718771i
$260$	−1.46319	−	0.606073i	−0.0907432	−	0.0375871i
$261$	−3.45531	+	4.50305i	−0.213879	+	0.278732i
$262$	−1.88197	+	14.2950i	−0.116269	+	0.883149i
$263$	13.9737	−	3.74425i	0.861657	−	0.230880i	0.199180	−	0.979963i	$-0.436172\pi$
$263$	13.9737	−	3.74425i	0.861657	−	0.230880i	0.662477	+	0.749082i	$0.269505\pi$
$264$	0.990870	−	3.69798i	0.0609838	−	0.227595i
$265$	−14.4576	+	5.98852i	−0.888121	+	0.367872i
$266$	5.65833	+	0.356221i	0.346935	+	0.0218413i
$267$	−13.4902	−	5.58784i	−0.825589	−	0.341970i
$268$	0.536683	−	0.309854i	0.0327831	−	0.0189273i
$269$	7.73638	+	10.0822i	0.471696	+	0.614726i	0.967242	−	0.253856i	$-0.0816989\pi$
$269$	7.73638	+	10.0822i	0.471696	+	0.614726i	−0.495547	+	0.868581i	$0.665032\pi$
$270$	−2.70216	−	10.0846i	−0.164448	−	0.613729i
$271$	9.75111	+	16.8894i	0.592338	+	1.02596i	0.993917	+	0.110134i	$0.0351281\pi$
$271$	9.75111	+	16.8894i	0.592338	+	1.02596i	−0.401579	+	0.915824i	$0.631539\pi$
$272$	−1.97844	−	3.61743i	−0.119960	−	0.219339i
$273$	1.45012	−	2.95976i	0.0877653	−	0.179133i
$274$	−15.3322	+	15.3322i	−0.926251	+	0.926251i
$275$	4.14140	−	0.545225i	0.249736	−	0.0328783i
$276$	−0.245918	−	0.141981i	−0.0148025	−	0.00854624i
$277$	9.42699	−	7.23358i	0.566413	−	0.434624i	−0.285446	−	0.958395i	$-0.592142\pi$
$277$	9.42699	−	7.23358i	0.566413	−	0.434624i	0.851859	+	0.523771i	$0.175475\pi$
$278$	9.11316	−	11.8765i	0.546571	−	0.712305i
$279$	−0.844139	+	0.349654i	−0.0505373	+	0.0209332i
$280$	−0.941378	+	4.79722i	−0.0562581	+	0.286689i
$281$	11.7525	+	11.7525i	0.701097	+	0.701097i	0.964646	−	0.263549i	$-0.0848931\pi$
$281$	11.7525	+	11.7525i	0.701097	+	0.701097i	−0.263549	+	0.964646i	$0.584893\pi$
$282$	10.6299	+	8.15658i	0.632999	+	0.485718i
$283$	18.2101	+	2.39741i	1.08248	+	0.142511i	0.650600	−	0.759420i	$-0.274517\pi$
$283$	18.2101	+	2.39741i	1.08248	+	0.142511i	0.431879	+	0.901931i	$0.357851\pi$
$284$	5.61644	−	4.30965i	0.333274	−	0.255730i
$285$	4.98381	−	2.87740i	0.295215	−	0.170443i
$286$	−0.863999	+	2.08588i	−0.0510893	+	0.123341i
$287$	−16.9008	+	19.3721i	−0.997620	+	1.14350i
$288$	0.887611			0.0523030
$289$	16.9818	+	0.785961i	0.998931	+	0.0462330i
$290$	5.90790	−	10.2328i	0.346924	−	0.600889i
$291$	−0.145074	−	0.541425i	−0.00850441	−	0.0317389i
$292$	9.38742	−	1.23588i	0.549357	−	0.0723242i
$293$		−	11.1470i		−	0.651214i	−0.945505	−	0.325607i	$-0.894431\pi$
$293$		−	11.1470i		−	0.651214i	0.945505	−	0.325607i	$-0.105569\pi$
$294$	−9.84062	−	2.58249i	−0.573917	−	0.150614i
$295$	2.89769	+	6.99564i	0.168710	+	0.407302i
$296$	−6.21940	−	4.77231i	−0.361495	−	0.277385i
$297$	−14.3763	+	3.85212i	−0.834197	+	0.223522i
$298$	−0.570880	+	0.152967i	−0.0330702	+	0.00886113i
$299$	0.132855	+	0.101944i	0.00768323	+	0.00589555i
$300$	−0.882005	−	2.12935i	−0.0509226	−	0.122938i
$301$	9.46647	+	3.18624i	0.545638	+	0.183652i
$302$		−	12.0041i		−	0.690758i
$303$	−2.63705	+	0.347174i	−0.151495	+	0.0199446i
$304$	0.554619	+	2.06987i	0.0318096	+	0.118715i
$305$	9.06799	−	15.7062i	0.519231	−	0.899335i
$306$	−1.90265	+	3.12625i	−0.108767	+	0.178716i
$307$	−28.5445			−1.62912			−0.814559	−	0.580080i	$-0.803021\pi$
$307$	−28.5445			−1.62912			−0.814559	+	0.580080i	$0.803021\pi$
$308$	6.83876	+	1.34200i	0.389675	+	0.0764675i
$309$	0.0302221	−	0.0729626i	0.00171928	−	0.00415070i
$310$	1.64722	−	0.951024i	0.0935559	−	0.0540145i
$311$	27.0505	−	20.7566i	1.53389	−	1.17700i	0.611191	−	0.791483i	$-0.290691\pi$
$311$	27.0505	−	20.7566i	1.53389	−	1.17700i	0.922702	−	0.385514i	$-0.125976\pi$
$312$	1.23508	+	0.162602i	0.0699227	+	0.00920550i
$313$	6.97658	+	5.35332i	0.394340	+	0.302587i	0.786831	−	0.617168i	$-0.211720\pi$
$313$	6.97658	+	5.35332i	0.394340	+	0.302587i	−0.392492	+	0.919756i	$0.628387\pi$
$314$	12.4314	+	12.4314i	0.701546	+	0.701546i
$315$	4.10538	−	1.40540i	0.231312	−	0.0791854i
$316$	4.06123	−	1.68222i	0.228462	−	0.0946322i
$317$	−3.12329	+	4.07035i	−0.175421	+	0.228614i	−0.872786	−	0.488103i	$-0.837689\pi$
$317$	−3.12329	+	4.07035i	−0.175421	+	0.228614i	0.697365	+	0.716716i	$0.254356\pi$
$318$	9.76535	−	7.49322i	0.547614	−	0.420199i
$319$	−14.5875	−	8.42211i	−0.816745	−	0.471548i
$320$	−1.83195	+	0.241181i	−0.102409	+	0.0134824i
$321$	18.7590	−	18.7590i	1.04703	−	1.04703i
$322$	0.227431	−	0.464198i	0.0126742	−	0.0258687i
$323$	−8.47912	−	2.48348i	−0.471791	−	0.138184i
$324$	2.77466	+	4.80585i	0.154148	+	0.266991i
$325$	0.351788	+	1.31289i	0.0195137	+	0.0728261i
$326$	−0.218538	−	0.284804i	−0.0121037	−	0.0157739i
$327$	15.7376	−	9.08612i	0.870293	−	0.502464i
$328$	−8.97716	−	3.71846i	−0.495681	−	0.205318i
$329$	−13.4984	+	20.3149i	−0.744191	+	1.12000i
$330$	6.53553	−	2.70711i	0.359769	−	0.149021i
$331$	4.34085	−	16.2003i	0.238594	−	0.890447i	−0.737901	−	0.674909i	$-0.764183\pi$
$331$	4.34085	−	16.2003i	0.238594	−	0.890447i	0.976496	−	0.215538i	$-0.0691504\pi$
$332$	8.32996	−	2.23201i	0.457166	−	0.122497i
$333$	−0.908243	+	6.89879i	−0.0497714	+	0.378051i
$334$	0.0994390	−	0.129591i	0.00544106	−	0.00709093i
$335$	1.05791	+	0.438200i	0.0577997	+	0.0239414i
$336$	−0.261388	−	3.83646i	−0.0142599	−	0.209296i
$337$	11.0339	−	26.6382i	0.601056	−	1.45108i	−0.271440	−	0.962455i	$-0.587500\pi$
$337$	11.0339	−	26.6382i	0.601056	−	1.45108i	0.872496	−	0.488622i	$-0.162500\pi$
$338$	11.8474	+	3.17451i	0.644415	+	0.172670i
$339$	−12.2664	+	21.2459i	−0.666217	+	1.15392i
$340$	3.07745	−	6.96929i	0.166898	−	0.377963i
$341$	−1.35575	−	2.34823i	−0.0734179	−	0.127164i
$342$	1.34495	−	1.34495i	0.0727266	−	0.0727266i
$343$	3.47255	−	18.1918i	0.187500	−	0.982265i
$344$			3.77522i			0.203546i
$345$	−0.0684861	−	0.520204i	−0.00368717	−	0.0280068i
$346$	5.73116	+	0.754522i	0.308109	+	0.0405633i
$347$	3.74976	−	28.4823i	0.201298	−	1.52901i	−0.530617	−	0.847612i	$-0.678040\pi$
$347$	3.74976	−	28.4823i	0.201298	−	1.52901i	0.731914	−	0.681397i	$-0.238627\pi$
$348$	−2.40547	+	8.97735i	−0.128947	+	0.481237i
$349$	20.8158	+	20.8158i	1.11424	+	1.11424i	0.992570	+	0.121674i	$0.0388262\pi$
$349$	20.8158	+	20.8158i	1.11424	+	1.11424i	0.121674	+	0.992570i	$0.461174\pi$
$350$	3.75812	−	1.86536i	0.200880	−	0.0997076i
$351$	−1.85332	−	4.47430i	−0.0989227	−	0.238820i
$352$	0.343820	+	2.61157i	0.0183257	+	0.139197i
$353$	−9.79204	−	5.65344i	−0.521178	−	0.300902i	0.216239	−	0.976341i	$-0.430621\pi$
$353$	−9.79204	−	5.65344i	−0.521178	−	0.300902i	−0.737416	+	0.675438i	$0.763954\pi$
$354$	−3.62578	−	4.72520i	−0.192708	−	0.251142i
$355$	12.6352	+	3.38560i	0.670609	+	0.179689i
$356$	10.0466			0.532466
$357$	14.0727	+	7.30307i	0.744804	+	0.386519i
$358$	16.5881			0.876707
$359$	20.4625	+	5.48291i	1.07997	+	0.289377i	0.754583	−	0.656204i	$-0.227839\pi$
$359$	20.4625	+	5.48291i	1.07997	+	0.289377i	0.325386	+	0.945581i	$0.394506\pi$
$360$	0.998425	+	1.30117i	0.0526216	+	0.0685778i
$361$	−12.4777	−	7.20403i	−0.656723	−	0.379159i
$362$	0.427485	+	3.24707i	0.0224681	+	0.170662i
$363$	2.25897	+	5.45364i	0.118565	+	0.286242i
$364$	−0.142482	+	2.26324i	−0.00746811	+	0.118626i
$365$	12.3711	+	12.3711i	0.647532	+	0.647532i
$366$	−3.69214	+	13.7793i	−0.192991	+	0.720254i
$367$	−2.51509	+	19.1040i	−0.131287	+	0.997223i	0.791299	+	0.611430i	$0.209405\pi$
$367$	−2.51509	+	19.1040i	−0.131287	+	0.997223i	−0.922585	+	0.385793i	$0.873928\pi$
$368$	0.193705	+	0.0255018i	0.0100976	+	0.00132937i
$369$	1.12576	+	8.55096i	0.0586045	+	0.445145i
$370$		−	14.4853i		−	0.753054i
$371$	14.8173	+	16.8083i	0.769277	+	0.872644i
$372$	−1.05791	+	1.05791i	−0.0548500	+	0.0548500i
$373$	7.89470	+	13.6740i	0.408772	+	0.708014i	0.994752	−	0.102311i	$-0.0326238\pi$
$373$	7.89470	+	13.6740i	0.408772	+	0.708014i	−0.585980	+	0.810325i	$0.699290\pi$
$374$	−9.93520	−	4.38711i	−0.513737	−	0.226852i
$375$	8.84321	−	15.3169i	0.456661	−	0.790961i
$376$	−8.90467	−	2.38600i	−0.459224	−	0.123049i
$377$	2.09748	−	5.06376i	0.108026	−	0.260797i
$378$	−12.4084	+	8.33736i	−0.638218	+	0.428827i
$379$	−18.3559	−	7.60328i	−0.942881	−	0.390554i	−0.142330	−	0.989819i	$-0.545460\pi$
$379$	−18.3559	−	7.60328i	−0.942881	−	0.390554i	−0.800551	+	0.599265i	$0.795460\pi$
$380$	−2.41041	+	3.14131i	−0.123651	+	0.161146i
$381$	−1.88924	+	14.3502i	−0.0967885	+	0.735182i
$382$	−3.71018	+	0.994139i	−0.189829	+	0.0508646i
$383$	1.17513	−	4.38566i	0.0600465	−	0.224097i	−0.929382	−	0.369120i	$-0.879659\pi$
$383$	1.17513	−	4.38566i	0.0600465	−	0.224097i	0.989428	+	0.145023i	$0.0463258\pi$
$384$	1.34277	−	0.556194i	0.0685230	−	0.0283832i
$385$	5.72528	+	11.5347i	0.291787	+	0.587861i
$386$	−24.3333	−	10.0792i	−1.23853	−	0.513018i
$387$	2.90199	−	1.67547i	0.147516	−	0.0851687i
$388$	0.234776	+	0.305967i	0.0119190	+	0.0155331i
$389$	−0.664854	−	2.48127i	−0.0337094	−	0.125805i	0.947021	−	0.321172i	$-0.104077\pi$
$389$	−0.664854	−	2.48127i	−0.0337094	−	0.125805i	−0.980730	+	0.195367i	$0.937410\pi$
$390$	1.15091	+	1.99344i	0.0582787	+	0.100942i
$391$	−0.505039	+	0.627583i	−0.0255409	+	0.0317382i
$392$	6.93531	−	0.949450i	0.350286	−	0.0479545i
$393$	14.8179	−	14.8179i	0.747467	−	0.747467i
$394$	−23.1834	+	3.05216i	−1.16796	+	0.153765i
$395$	7.03426	+	4.06123i	0.353932	+	0.204343i
$396$	1.85491	−	1.42332i	0.0932128	−	0.0715247i
$397$	7.09318	−	9.24402i	0.355997	−	0.463944i	−0.580684	−	0.814129i	$-0.697215\pi$
$397$	7.09318	−	9.24402i	0.355997	−	0.463944i	0.936680	+	0.350185i	$0.113881\pi$
$398$	−5.53336	+	2.29199i	−0.277362	+	0.114887i
$399$	−6.20925	−	5.41711i	−0.310851	−	0.271195i
$400$	1.12132	+	1.12132i	0.0560660	+	0.0560660i
$401$	8.91825	+	6.84322i	0.445356	+	0.341734i	0.806968	−	0.590595i	$-0.201107\pi$
$401$	8.91825	+	6.84322i	0.445356	+	0.341734i	−0.361612	+	0.932329i	$0.617773\pi$
$402$	−0.892982	−	0.117563i	−0.0445379	−	0.00586352i
$403$	0.699975	−	0.537110i	0.0348682	−	0.0267553i
$404$	1.58487	−	0.915025i	0.0788502	−	0.0455242i
$405$	−3.92396	+	9.47327i	−0.194983	+	0.470731i
$406$	−16.6021	−	3.25789i	−0.823946	−	0.161686i
$407$	−20.6498			−1.02357
$408$	−0.919353	+	5.92160i	−0.0455148	+	0.293163i
$409$	11.3481	−	19.6554i	0.561125	−	0.971897i	−0.436273	−	0.899814i	$-0.643702\pi$
$409$	11.3481	−	19.6554i	0.561125	−	0.971897i	0.997399	−	0.0720833i	$-0.0229647\pi$
$410$	−4.64692	−	17.3425i	−0.229495	−	0.856487i
$411$	31.2446	−	4.11343i	1.54118	−	0.202900i
$412$			0.0543373i			0.00267701i
$413$	8.13312	−	7.16972i	0.400204	−	0.352799i
$414$	−0.0663644	−	0.160218i	−0.00326163	−	0.00787428i
$415$	12.6419	+	9.70044i	0.620565	+	0.476176i
$416$	−0.827911	+	0.221838i	−0.0405917	+	0.0108765i
$417$	−21.0161	+	5.63125i	−1.02916	+	0.275764i
$418$	4.47815	+	3.43621i	0.219033	+	0.168070i
$419$	0.364863	+	0.880858i	0.0178247	+	0.0430327i	0.932541	−	0.361063i	$-0.117586\pi$
$419$	0.364863	+	0.880858i	0.0178247	+	0.0430327i	−0.914717	+	0.404096i	$0.867586\pi$
$420$	5.32994	−	4.69859i	0.260074	−	0.229268i
$421$			37.2285i			1.81441i	0.420692	+	0.907203i	$0.361787\pi$
$421$			37.2285i			1.81441i	−0.420692	+	0.907203i	$0.638213\pi$
$422$	26.5683	−	3.49779i	1.29333	−	0.170270i
$423$	2.11784	+	7.90389i	0.102973	+	0.384300i
$424$	−4.23452	+	7.33440i	−0.205646	+	0.356190i
$425$	−6.35302	+	1.54577i	−0.308167	+	0.0749808i
$426$	−10.2892			−0.498513
$427$	−25.4824	−	5.00051i	−1.23318	−	0.241992i
$428$	−6.98519	+	16.8637i	−0.337642	+	0.815140i
$429$	2.84178	−	1.64070i	0.137203	−	0.0792140i
$430$	−5.53420	+	4.24654i	−0.266883	+	0.204786i
$431$	−11.0482	−	1.45452i	−0.532173	−	0.0700620i	−0.140349	−	0.990102i	$-0.544823\pi$
$431$	−11.0482	−	1.45452i	−0.532173	−	0.0700620i	−0.391824	+	0.920040i	$0.628156\pi$
$432$	−4.48267	−	3.43967i	−0.215672	−	0.165491i
$433$	−9.10574	−	9.10574i	−0.437594	−	0.437594i	0.453608	−	0.891201i	$-0.350137\pi$
$433$	−9.10574	−	9.10574i	−0.437594	−	0.437594i	−0.891201	+	0.453608i	$0.850137\pi$
$434$	−2.05225	−	1.79043i	−0.0985110	−	0.0859436i
$435$	−15.8659	+	6.57188i	−0.760713	+	0.315097i
$436$	−7.61147	+	9.91947i	−0.364524	+	0.475056i
$437$	0.332153	−	0.254870i	0.0158890	−	0.0121921i
$438$	−11.9178	−	6.88073i	−0.569453	−	0.328774i
$439$	12.5645	−	1.65414i	0.599670	−	0.0789480i	0.175421	−	0.984494i	$-0.443871\pi$
$439$	12.5645	−	1.65414i	0.599670	−	0.0789480i	0.424249	+	0.905546i	$0.360538\pi$
$440$	−3.44163	+	3.44163i	−0.164073	+	0.164073i
$441$	−3.80777	−	4.90976i	−0.181322	−	0.233798i
$442$	0.993348	−	3.39150i	0.0472488	−	0.161317i
$443$	−11.0723	−	19.1779i	−0.526063	−	0.911168i	−0.999539	−	0.0303610i	$-0.990334\pi$
$443$	−11.0723	−	19.1779i	−0.526063	−	0.911168i	0.473476	−	0.880807i	$-0.342999\pi$
$444$	2.94893	+	11.0056i	0.139950	+	0.522301i
$445$	11.3008	+	14.7275i	0.535710	+	0.698151i
$446$	1.81268	−	1.04655i	0.0858330	−	0.0495557i
$447$	0.793603	+	0.328721i	0.0375361	+	0.0155480i
$448$	1.17630	+	2.36988i	0.0555749	+	0.111966i
$449$	−8.91490	+	3.69267i	−0.420720	+	0.174268i	−0.582992	−	0.812478i	$-0.698118\pi$
$449$	−8.91490	+	3.69267i	−0.420720	+	0.174268i	0.162272	+	0.986746i	$0.448118\pi$
$450$	0.364304	−	1.35960i	0.0171734	−	0.0640922i
$451$	−24.7230	+	6.62450i	−1.16416	+	0.311936i
$452$	2.20321	−	16.7351i	0.103630	−	0.787151i
$453$	−10.6210	+	13.8415i	−0.499016	+	0.650330i
$454$	6.56205	+	2.71809i	0.307972	+	0.127566i
$455$	−3.47801	+	2.33692i	−0.163052	+	0.109557i
$456$	1.19186	−	2.87740i	0.0558139	−	0.134747i
$457$	31.1388	+	8.34362i	1.45661	+	0.390298i	0.898318	−	0.439345i	$-0.144789\pi$
$457$	31.1388	+	8.34362i	1.45661	+	0.390298i	0.558294	+	0.829643i	$0.311456\pi$
$458$	0.987369	−	1.71017i	0.0461367	−	0.0799111i
$459$	21.7237	−	8.41520i	1.01398	−	0.392788i
$460$	0.180504	+	0.312643i	0.00841607	+	0.0145771i
$461$	9.35798	−	9.35798i	0.435845	−	0.435845i	−0.454766	−	0.890611i	$-0.650277\pi$
$461$	9.35798	−	9.35798i	0.435845	−	0.435845i	0.890611	+	0.454766i	$0.150277\pi$
$462$	−6.69817	−	7.59819i	−0.311627	−	0.353500i
$463$			36.9325i			1.71640i	0.513317	+	0.858199i	$0.328417\pi$
$463$			36.9325i			1.71640i	−0.513317	+	0.858199i	$0.671583\pi$
$464$	−0.834671	−	6.33996i	−0.0387486	−	0.294325i
$465$	−2.74080	−	0.360833i	−0.127101	−	0.0167332i
$466$	−1.71907	+	13.0576i	−0.0796342	+	0.604882i
$467$	9.09450	−	33.9411i	0.420843	−	1.57061i	−0.351993	−	0.936003i	$-0.614496\pi$
$467$	9.09450	−	33.9411i	0.420843	−	1.57061i	0.772836	−	0.634606i	$-0.218838\pi$
$468$	0.537957	+	0.537957i	0.0248671	+	0.0248671i
$469$	0.103017	−	1.63635i	0.00475688	−	0.0755598i
$470$	−6.51867	−	15.7375i	−0.300684	−	0.725915i
$471$	−3.33519	−	25.3333i	−0.153677	−	1.16730i
$472$	3.54893	+	2.04898i	0.163353	+	0.0943118i
$473$	6.05373	+	7.88938i	0.278351	+	0.362754i
$474$	−6.17125	−	1.65358i	−0.283455	−	0.0759515i
$475$	3.39816			0.155918
$476$	−10.8684	−	0.936960i	−0.498152	−	0.0429455i
$477$	7.51722			0.344190
$478$	−15.1519	−	4.05994i	−0.693033	−	0.185698i
$479$	−18.1231	−	23.6185i	−0.828065	−	1.07916i	−0.995638	−	0.0932959i	$-0.970260\pi$
$479$	−18.1231	−	23.6185i	−0.828065	−	1.07916i	0.167573	−	0.985860i	$-0.446407\pi$
$480$	2.32575	+	1.34277i	0.106155	+	0.0612889i
$481$	−0.877040	−	6.66178i	−0.0399896	−	0.303751i
$482$	−1.17580	−	2.83863i	−0.0535563	−	0.129296i
$483$	−0.672954	+	0.334024i	−0.0306205	+	0.0151986i
$484$	−2.87190	−	2.87190i	−0.130541	−	0.130541i
$485$	−0.184437	+	0.688330i	−0.00837487	+	0.0312554i
$486$	−1.15978	+	8.80941i	−0.0526087	+	0.399603i
$487$	−15.2843	−	2.01222i	−0.692600	−	0.0911825i	−0.223995	−	0.974590i	$-0.571910\pi$
$487$	−15.2843	−	2.01222i	−0.692600	−	0.0911825i	−0.468605	+	0.883408i	$0.655243\pi$
$488$	−1.28113	−	9.73115i	−0.0579940	−	0.440508i
$489$			0.521755i			0.0235946i
$490$	9.19297	+	9.09867i	0.415296	+	0.411036i
$491$	−22.6242	+	22.6242i	−1.02101	+	1.02101i	−0.0212393	+	0.999774i	$0.506761\pi$
$491$	−22.6242	+	22.6242i	−1.02101	+	1.02101i	−0.999774	+	0.0212393i	$0.993239\pi$
$492$	7.06123	+	12.2304i	0.318345	+	0.551390i
$493$	24.1191	+	10.6503i	1.08627	+	0.479667i
$494$	−0.918351	+	1.59063i	−0.0413185	+	0.0715658i
$495$	4.17297	+	1.11814i	0.187561	+	0.0502568i
$496$	0.393927	−	0.951024i	0.0176878	−	0.0427022i
$497$	−1.27319	−	18.6869i	−0.0571104	−	0.838223i
$498$	−11.5798	−	4.79651i	−0.518904	−	0.214937i
$499$	−1.44978	+	1.88938i	−0.0649009	+	0.0845805i	−0.824676	−	0.565606i	$-0.808642\pi$
$499$	−1.44978	+	1.88938i	−0.0649009	+	0.0845805i	0.759775	+	0.650186i	$0.225309\pi$
$500$	−1.58837	+	12.0648i	−0.0710339	+	0.539556i
$501$	−0.229319	+	0.0614459i	−0.0102452	+	0.00274520i
$502$	5.22564	−	19.5023i	0.233232	−	0.870432i
$503$	28.8258	−	11.9401i	1.28528	−	0.532381i	0.367705	−	0.929942i	$-0.380143\pi$
$503$	28.8258	−	11.9401i	1.28528	−	0.532381i	0.917576	+	0.397561i	$0.130143\pi$
$504$	1.29966	−	1.95598i	0.0578916	−	0.0871262i
$505$	3.12409	+	1.29404i	0.139020	+	0.0575840i
$506$	0.445694	−	0.257322i	0.0198135	−	0.0114393i
$507$	−10.8521	−	14.1427i	−0.481959	−	0.628101i
$508$	−2.57750	−	9.61935i	−0.114358	−	0.426789i
$509$	−0.274887	−	0.476117i	−0.0121841	−	0.0211035i	0.859869	−	0.510515i	$-0.170545\pi$
$509$	−0.274887	−	0.476117i	−0.0121841	−	0.0211035i	−0.872053	+	0.489411i	$0.837212\pi$
$510$	−9.71476	+	5.31318i	−0.430177	+	0.235272i
$511$	11.0219	−	22.4961i	0.487578	−	0.995170i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	−12.0043	+	1.58040i	−0.530003	+	0.0697762i
$514$	−18.5971	−	10.7370i	−0.820282	−	0.473590i
$515$	−0.0796545	+	0.0611210i	−0.00351000	+	0.00269331i
$516$	3.34023	−	4.35307i	0.147046	−	0.191633i
$517$	−22.4348	+	9.29282i	−0.986683	+	0.408698i
$518$	−19.6231	+	6.71759i	−0.862188	+	0.295154i
$519$	−5.94082	−	5.94082i	−0.260773	−	0.260773i
$520$	−1.25647	−	0.964123i	−0.0550998	−	0.0422796i
$521$	17.6468	+	2.32325i	0.773122	+	0.101783i	0.506757	−	0.862089i	$-0.330844\pi$
$521$	17.6468	+	2.32325i	0.773122	+	0.101783i	0.266365	+	0.963872i	$0.414177\pi$
$522$	−4.50305	+	3.45531i	−0.197093	+	0.151235i
$523$	−30.8845	+	17.8312i	−1.35049	+	0.779704i	−0.988318	−	0.152409i	$-0.951297\pi$
$523$	−30.8845	+	17.8312i	−1.35049	+	0.779704i	−0.362169	+	0.932112i	$0.617964\pi$
$524$	−5.51767	+	13.3208i	−0.241041	+	0.581923i
$525$	−5.98378	−	1.17422i	−0.261154	−	0.0512472i
$526$	14.4667			0.630777
$527$	2.50518	+	3.42603i	0.109128	+	0.149240i
$528$	1.91421	−	3.31552i	0.0833055	−	0.144289i
$529$	5.94296	+	22.1794i	0.258389	+	0.964323i
$530$	−15.5149	+	2.04257i	−0.673923	+	0.0887236i
$531$		−	3.63739i		−	0.157849i
$532$	5.37333	+	1.80857i	0.232964	+	0.0784114i
$533$	−3.18716	−	7.69448i	−0.138051	−	0.333285i
$534$	−11.5843	−	8.88896i	−0.501303	−	0.384663i
$535$	−32.5782	+	8.72931i	−1.40848	+	0.377401i
$536$	0.598592	−	0.160392i	0.0258552	−	0.00692789i
$537$	−19.1271	−	14.6768i	−0.825396	−	0.633349i
$538$	4.86329	+	11.7410i	0.209671	+	0.506192i
$539$	12.9708	−	13.1052i	0.558691	−	0.564481i
$540$		−	10.4404i		−	0.449281i
$541$	−12.5127	+	1.64732i	−0.537961	+	0.0708239i	−0.394611	−	0.918848i	$-0.629121\pi$
$541$	−12.5127	+	1.64732i	−0.537961	+	0.0708239i	−0.143350	+	0.989672i	$0.545787\pi$
$542$	5.04754	+	18.8377i	0.216811	+	0.809148i
$543$	2.38002	−	4.12231i	0.102136	−	0.176905i
$544$	−0.974764	−	4.00622i	−0.0417927	−	0.171765i
$545$	−23.1029			−0.989621
$546$	2.16675	−	2.48359i	0.0927285	−	0.106288i
$547$	−12.0672	+	29.1328i	−0.515957	+	1.24563i	0.424411	+	0.905470i	$0.360481\pi$
$547$	−12.0672	+	29.1328i	−0.515957	+	1.24563i	−0.940368	+	0.340160i	$0.889519\pi$
$548$	−18.7780	+	10.8415i	−0.802157	+	0.463126i
$549$	−6.91170	+	5.30354i	−0.294984	+	0.226349i
$550$	4.14140	+	0.545225i	0.176590	+	0.0232485i
$551$	−10.8713	−	8.34187i	−0.463134	−	0.355375i
$552$	−0.200791	−	0.200791i	−0.00854624	−	0.00854624i
$553$	2.23955	−	11.4127i	0.0952354	−	0.485316i
$554$	10.9780	−	4.54722i	0.466409	−	0.193193i
$555$	−12.8163	+	16.7025i	−0.544020	+	0.708980i
$556$	11.8765	−	9.11316i	0.503676	−	0.386484i
$557$	−5.17526	−	2.98794i	−0.219283	−	0.126603i	0.386335	−	0.922358i	$-0.373741\pi$
$557$	−5.17526	−	2.98794i	−0.219283	−	0.126603i	−0.605618	+	0.795755i	$0.707074\pi$
$558$	−0.905873	+	0.119260i	−0.0383487	+	0.00504870i
$559$	−2.28806	+	2.28806i	−0.0967747	+	0.0967747i
$560$	−2.15091	+	4.39011i	−0.0908926	+	0.185516i
$561$	7.57430	+	13.8491i	0.319787	+	0.584708i
$562$	8.31029	+	14.3938i	0.350548	+	0.607168i
$563$	−3.09091	−	11.5354i	−0.130266	−	0.486161i	0.869706	−	0.493570i	$-0.164308\pi$
$563$	−3.09091	−	11.5354i	−0.130266	−	0.486161i	−0.999973	+	0.00740911i	$0.997642\pi$
$564$	8.15658	+	10.6299i	0.343454	+	0.447598i
$565$	27.0106	−	15.5946i	1.13635	−	0.656069i
$566$	16.9691	+	7.02884i	0.713266	+	0.295444i
$567$	14.6531	+	0.922487i	0.615372	+	0.0387408i
$568$	6.54048	−	2.70916i	0.274433	−	0.113674i
$569$	2.22140	−	8.29040i	0.0931261	−	0.347551i	−0.903603	−	0.428372i	$-0.859087\pi$
$569$	2.22140	−	8.29040i	0.0931261	−	0.347551i	0.996729	+	0.0808204i	$0.0257540\pi$
$570$	5.55872	−	1.48945i	0.232829	−	0.0623863i
$571$	−1.49616	+	11.3645i	−0.0626125	+	0.475589i	0.931199	+	0.364511i	$0.118764\pi$
$571$	−1.49616	+	11.3645i	−0.0626125	+	0.475589i	−0.993812	+	0.111078i	$0.964570\pi$
$572$	−1.37442	+	1.79118i	−0.0574675	+	0.0748932i
$573$	5.15767	+	2.13637i	0.215465	+	0.0892483i
$574$	−21.3387	+	14.3378i	−0.890662	+	0.598448i
$575$	0.118565	−	0.286242i	0.00494451	−	0.0119371i
$576$	0.857367	+	0.229731i	0.0357236	+	0.00957211i
$577$	0.550680	−	0.953805i	0.0229251	−	0.0397074i	−0.854335	−	0.519722i	$-0.826035\pi$
$577$	0.550680	−	0.953805i	0.0229251	−	0.0397074i	0.877260	+	0.480015i	$0.159369\pi$
$578$	16.1998	+	5.15440i	0.673821	+	0.214395i
$579$	19.1401	+	33.1516i	0.795434	+	1.37773i
$580$	8.35503	−	8.35503i	0.346924	−	0.346924i
$581$	7.27839	−	21.6244i	0.301959	−	0.897132i
$582$		−	0.560524i		−	0.0232345i
$583$	2.91183	+	22.1175i	0.120595	+	0.916014i
$584$	9.38742	+	1.23588i	0.388454	+	0.0511410i
$585$	−0.183487	+	1.39372i	−0.00758626	+	0.0576234i
$586$	2.88505	−	10.7672i	0.119180	−	0.444787i
$587$	−5.63336	−	5.63336i	−0.232514	−	0.232514i	0.581228	−	0.813741i	$-0.302573\pi$
$587$	−5.63336	−	5.63336i	−0.232514	−	0.232514i	−0.813741	+	0.581228i	$0.802573\pi$
$588$	−8.83691	−	5.04143i	−0.364428	−	0.207905i
$589$	−0.844139	−	2.03793i	−0.0347822	−	0.0839715i
$590$	0.988348	+	7.50725i	0.0406896	+	0.309069i
$591$	29.4325	+	16.9928i	1.21069	+	0.698992i
$592$	−4.77231	−	6.21940i	−0.196141	−	0.255616i
$593$	−3.73224	−	1.00005i	−0.153265	−	0.0410671i	0.181371	−	0.983415i	$-0.441947\pi$
$593$	−3.73224	−	1.00005i	−0.153265	−	0.0410671i	−0.334636	+	0.942348i	$0.608613\pi$
$594$	−14.8834			−0.610675
$595$	−10.8517	−	16.9862i	−0.444878	−	0.696366i
$596$	−0.591018			−0.0242091
$597$	8.40822	+	2.25297i	0.344125	+	0.0922081i
$598$	0.101944	+	0.132855i	0.00416878	+	0.00543286i
$599$	−12.6157	−	7.28369i	−0.515464	−	0.297603i	0.219613	−	0.975587i	$-0.429521\pi$
$599$	−12.6157	−	7.28369i	−0.515464	−	0.297603i	−0.735077	+	0.677984i	$0.762854\pi$
$600$	−0.300836	−	2.28507i	−0.0122816	−	0.0932877i
$601$	4.66003	+	11.2503i	0.190086	+	0.458909i	0.989976	−	0.141239i	$-0.0451085\pi$
$601$	4.66003	+	11.2503i	0.190086	+	0.458909i	−0.799889	+	0.600148i	$0.795108\pi$
$602$	8.31924	+	5.52778i	0.339067	+	0.225295i
$603$	−0.388951	−	0.388951i	−0.0158393	−	0.0158393i
$604$	3.10689	−	11.5951i	0.126418	−	0.471797i
$605$	0.979551	−	7.44043i	0.0398244	−	0.302497i
$606$	−2.63705	−	0.347174i	−0.107123	−	0.0141030i
$607$	3.80699	+	28.9169i	0.154521	+	1.17370i	0.876365	+	0.481647i	$0.159961\pi$
$607$	3.80699	+	28.9169i	0.154521	+	1.17370i	−0.721845	+	0.692055i	$0.756705\pi$
$608$			2.14288i			0.0869054i
$609$	16.2607	+	18.4457i	0.658918	+	0.747457i
$610$	12.8241	−	12.8241i	0.519231	−	0.519231i
$611$	−3.95079	−	6.84297i	−0.159832	−	0.276837i
$612$	−2.64695	+	2.52728i	−0.106997	+	0.102159i
$613$	−19.2349	+	33.3159i	−0.776891	+	1.34561i	0.156834	+	0.987625i	$0.449871\pi$
$613$	−19.2349	+	33.3159i	−0.776891	+	1.34561i	−0.933725	+	0.357990i	$0.883462\pi$
$614$	−27.5718	−	7.38785i	−1.11271	−	0.298149i
$615$	−9.98609	+	24.1086i	−0.402678	+	0.972151i
$616$	6.25840	+	3.06627i	0.252158	+	0.123544i
$617$	−8.81984	−	3.65330i	−0.355073	−	0.147076i	0.198015	−	0.980199i	$-0.436551\pi$
$617$	−8.81984	−	3.65330i	−0.355073	−	0.147076i	−0.553088	+	0.833123i	$0.686551\pi$
$618$	0.0480764	−	0.0626544i	0.00193392	−	0.00252033i
$619$	1.76153	−	13.3802i	0.0708019	−	0.537794i	−0.918883	−	0.394531i	$-0.870907\pi$
$619$	1.76153	−	13.3802i	0.0708019	−	0.537794i	0.989685	−	0.143263i	$-0.0457595\pi$
$620$	1.83724	−	0.492286i	0.0737852	−	0.0197707i
$621$	−0.285719	+	1.06632i	−0.0114655	+	0.0427898i
$622$	31.5010	−	13.0481i	1.26307	−	0.523182i
$623$	14.7104	−	22.1390i	0.589360	−	0.886981i
$624$	1.15091	+	0.476724i	0.0460734	+	0.0190842i
$625$	−12.6062	+	7.27817i	−0.504247	+	0.291127i
$626$	5.35332	+	6.97658i	0.213962	+	0.278840i
$627$	−2.12332	−	7.92433i	−0.0847972	−	0.316467i
$628$	8.79034	+	15.2253i	0.350773	+	0.607556i
$629$	32.1350	−	3.47682i	1.28131	−	0.138630i
$630$	4.32924	−	0.294963i	0.172481	−	0.0117516i
$631$	26.5985	−	26.5985i	1.05887	−	1.05887i	0.0607163	−	0.998155i	$-0.480662\pi$
$631$	26.5985	−	26.5985i	1.05887	−	1.05887i	0.998155	−	0.0607163i	$-0.0193385\pi$
$632$	4.35824	−	0.573773i	0.173362	−	0.0228235i
$633$	−33.7298	−	19.4739i	−1.34064	−	0.774018i
$634$	−4.07035	+	3.12329i	−0.161654	+	0.124042i
$635$	11.2020	−	14.5987i	0.444536	−	0.579331i
$636$	11.3720	−	4.71043i	0.450929	−	0.186781i
$637$	4.77874	+	3.62787i	0.189341	+	0.143741i
$638$	−11.9107	−	11.9107i	−0.471548	−	0.471548i
$639$	−4.98521	−	3.82529i	−0.197212	−	0.151326i
$640$	−1.83195	−	0.241181i	−0.0724142	−	0.00953351i
$641$	8.42399	−	6.46396i	0.332728	−	0.255311i	−0.428863	−	0.903370i	$-0.641086\pi$
$641$	8.42399	−	6.46396i	0.332728	−	0.255311i	0.761590	+	0.648059i	$0.224419\pi$
$642$	22.9750	−	13.2646i	0.906752	−	0.523514i
$643$	3.43816	−	8.30045i	0.135588	−	0.327338i	−0.841473	−	0.540299i	$-0.818311\pi$
$643$	3.43816	−	8.30045i	0.135588	−	0.327338i	0.977061	+	0.212962i	$0.0683110\pi$
$644$	0.339825	−	0.389517i	0.0133910	−	0.0153491i
$645$	10.1385			0.399204
$646$	−7.54743	−	4.59341i	−0.296950	−	0.180725i
$647$	19.8301	−	34.3467i	0.779602	−	1.35031i	−0.152570	−	0.988293i	$-0.548755\pi$
$647$	19.8301	−	34.3467i	0.779602	−	1.35031i	0.932171	−	0.362017i	$-0.117912\pi$
$648$	1.43627	+	5.36022i	0.0564219	+	0.210569i
$649$	10.7021	−	1.40896i	0.420094	−	0.0553064i
$650$			1.35920i			0.0533124i
$651$	0.782236	+	3.88027i	0.0306583	+	0.152080i
$652$	−0.137379	−	0.331662i	−0.00538017	−	0.0129889i
$653$	−7.17909	−	5.50871i	−0.280939	−	0.215572i	0.458674	−	0.888605i	$-0.348325\pi$
$653$	−7.17909	−	5.50871i	−0.280939	−	0.215572i	−0.739613	+	0.673033i	$0.764991\pi$
$654$	17.5530	−	4.70332i	0.686378	−	0.183914i
$655$	−25.7339	+	6.89537i	−1.00551	+	0.269424i
$656$	−7.70886	−	5.91522i	−0.300981	−	0.230950i
$657$	−3.21618	−	7.76454i	−0.125475	−	0.302924i
$658$	−18.2963	+	16.1291i	−0.713266	+	0.628777i
$659$			17.1075i			0.666413i	0.942854	+	0.333207i	$0.108131\pi$
$659$			17.1075i			0.666413i	−0.942854	+	0.333207i	$0.891869\pi$
$660$	7.01349	−	0.923344i	0.273000	−	0.0359411i
$661$	2.20825	+	8.24130i	0.0858909	+	0.320549i	0.995481	−	0.0949566i	$-0.0302712\pi$
$661$	2.20825	+	8.24130i	0.0858909	+	0.320549i	−0.909591	+	0.415506i	$0.863605\pi$
$662$	8.38587	−	14.5248i	0.325926	−	0.564521i
$663$	−4.14612	+	3.03173i	−0.161022	+	0.117743i
$664$	8.62381			0.334669
$665$	3.39294	+	9.91127i	0.131573	+	0.384342i
$666$	−2.66283	+	6.42865i	−0.103183	+	0.249105i
$667$	−1.08198	+	0.624684i	−0.0418946	+	0.0241879i
$668$	0.129591	−	0.0994390i	0.00501404	−	0.00384741i
$669$	−3.01611	−	0.397078i	−0.116609	−	0.0153519i
$670$	0.908446	+	0.697075i	0.0350963	+	0.0269304i
$671$	−18.2816	−	18.2816i	−0.705753	−	0.705753i
$672$	0.740467	−	3.77338i	0.0285641	−	0.145561i
$673$	41.7716	−	17.3024i	1.61018	−	0.666957i	0.617369	−	0.786674i	$-0.288199\pi$
$673$	41.7716	−	17.3024i	1.61018	−	0.666957i	0.992808	+	0.119716i	$0.0381985\pi$
$674$	17.5524	−	22.8748i	0.676095	−	0.881104i
$675$	−7.10855	+	5.45458i	−0.273608	+	0.209947i
$676$	10.6221	+	6.13268i	0.408543	+	0.235872i
$677$	−41.1728	+	5.42050i	−1.58240	+	0.208327i	−0.869858	−	0.493303i	$-0.835789\pi$
$677$	−41.1728	+	5.42050i	−1.58240	+	0.208327i	−0.712542	+	0.701630i	$0.752456\pi$
$678$	−17.3472	+	17.3472i	−0.666217	+	0.666217i
$679$	1.01801	−	0.0693595i	0.0390675	−	0.00266177i
$680$	4.77637	−	5.93531i	0.183165	−	0.227609i
$681$	−5.16156	−	8.94008i	−0.197791	−	0.342585i
$682$	−0.701788	−	2.61911i	−0.0268728	−	0.100291i
$683$	11.6360	+	15.1643i	0.445240	+	0.580247i	0.961022	−	0.276472i	$-0.0891654\pi$
$683$	11.6360	+	15.1643i	0.445240	+	0.580247i	−0.515782	+	0.856720i	$0.672499\pi$
$684$	1.64722	−	0.951024i	0.0629831	−	0.0363633i
$685$	−37.0152	−	15.3322i	−1.41428	−	0.585813i
$686$	8.06261	−	16.6732i	0.307832	−	0.636584i
$687$	−2.65162	+	1.09834i	−0.101166	+	0.0419042i
$688$	−0.977099	+	3.64658i	−0.0372516	+	0.139025i
$689$	−7.01161	+	1.87876i	−0.267121	+	0.0715749i
$690$	0.0684861	−	0.520204i	0.00260722	−	0.0198038i
$691$	−28.9692	+	37.7534i	−1.10204	+	1.43621i	−0.213773	+	0.976883i	$0.568575\pi$
$691$	−28.9692	+	37.7534i	−1.10204	+	1.43621i	−0.888268	+	0.459325i	$0.848091\pi$
$692$	5.34059	+	2.21215i	0.203019	+	0.0840932i
$693$	−0.420489	−	6.17163i	−0.0159731	−	0.234441i
$694$	10.9937	−	26.5413i	0.417317	−	1.00749i
$695$	26.7184	+	7.15918i	1.01349	+	0.271563i
$696$	−4.64702	+	8.04888i	−0.176145	+	0.305092i
$697$	37.3584	−	14.4717i	1.41505	−	0.548153i
$698$	14.7190	+	25.4940i	0.557122	+	0.964964i
$699$	13.5353	−	13.5353i	0.511951	−	0.511951i
$700$	4.11286	−	0.829125i	0.155451	−	0.0313380i
$701$			3.45847i			0.130625i	0.997865	+	0.0653123i	$0.0208044\pi$
$701$			3.45847i			0.130625i	−0.997865	+	0.0653123i	$0.979196\pi$
$702$	−0.632132	−	4.80152i	−0.0238583	−	0.181222i
$703$	−16.6552	−	2.19269i	−0.628161	−	0.0826990i
$704$	−0.343820	+	2.61157i	−0.0129582	+	0.0984273i
$705$	−6.40771	+	23.9139i	−0.241328	+	0.900649i
$706$	−7.99517	−	7.99517i	−0.300902	−	0.300902i
$707$	0.304217	−	4.83229i	0.0114413	−	0.181737i
$708$	−2.27926	−	5.50262i	−0.0856598	−	0.206801i
$709$	−5.95051	−	45.1986i	−0.223476	−	1.69747i	−0.624196	−	0.781268i	$-0.714573\pi$
$709$	−5.95051	−	45.1986i	−0.223476	−	1.69747i	0.400720	−	0.916200i	$-0.368760\pi$
$710$	11.3284	+	6.54048i	0.425149	+	0.245460i
$711$	−2.37527	−	3.09551i	−0.0890795	−	0.116091i
$712$	9.70422	+	2.60024i	0.363681	+	0.0974481i
$713$	−0.201117			−0.00753189
$714$	11.7030	+	10.6965i	0.437972	+	0.400306i
$715$	−4.17176			−0.156015
$716$	16.0229	+	4.29331i	0.598802	+	0.160449i
$717$	13.8790	+	18.0875i	0.518320	+	0.675488i
$718$	18.3462	+	10.5922i	0.684673	+	0.395296i
$719$	3.68928	+	28.0229i	0.137587	+	1.04508i	0.911359	+	0.411613i	$0.135034\pi$
$719$	3.68928	+	28.0229i	0.137587	+	1.04508i	−0.773772	+	0.633464i	$0.781632\pi$
$720$	0.627636	+	1.51525i	0.0233906	+	0.0564699i
$721$	0.119740	+	0.0795621i	0.00445935	+	0.00296305i
$722$	−10.1880	−	10.1880i	−0.379159	−	0.379159i
$723$	−1.15579	+	4.31345i	−0.0429841	+	0.160419i
$724$	−0.427485	+	3.24707i	−0.0158874	+	0.120677i
$725$	−10.0538	−	1.32361i	−0.373389	−	0.0491576i
$726$	0.770493	+	5.85248i	0.0285957	+	0.217206i
$727$			30.8557i			1.14438i	0.820123	+	0.572188i	$0.193905\pi$
$727$			30.8557i			1.14438i	−0.820123	+	0.572188i	$0.806095\pi$
$728$	−0.723396	+	2.14924i	−0.0268109	+	0.0796562i
$729$	20.9035	−	20.9035i	0.774205	−	0.774205i
$730$	8.74768	+	15.1514i	0.323766	+	0.560779i
$731$	−10.7491	−	11.2581i	−0.397571	−	0.416397i
$732$	−7.13268	+	12.3542i	−0.263631	+	0.456623i
$733$	−47.1347	−	12.6297i	−1.74096	−	0.466488i	−0.758299	−	0.651907i	$-0.773969\pi$
$733$	−47.1347	−	12.6297i	−1.74096	−	0.466488i	−0.982660	+	0.185419i	$0.940636\pi$
$734$	−7.37389	+	17.8021i	−0.272175	+	0.657089i
$735$	−2.54979	−	18.6251i	−0.0940504	−	0.686997i
$736$	0.180504	+	0.0747674i	0.00665348	+	0.00275596i
$737$	0.993729	−	1.29505i	0.0366045	−	0.0477039i
$738$	−1.12576	+	8.55096i	−0.0414396	+	0.314765i
$739$	10.0538	−	2.69390i	0.369834	−	0.0990968i	−0.0691149	−	0.997609i	$-0.522018\pi$
$739$	10.0538	−	2.69390i	0.369834	−	0.0990968i	0.438949	+	0.898512i	$0.355351\pi$
$740$	3.74907	−	13.9917i	0.137818	−	0.514345i
$741$	2.46627	−	1.02156i	0.0906007	−	0.0375280i
$742$	9.96212	+	20.0706i	0.365721	+	0.736815i
$743$	−4.67086	−	1.93473i	−0.171357	−	0.0709785i	0.295356	−	0.955387i	$-0.404562\pi$
$743$	−4.67086	−	1.93473i	−0.171357	−	0.0709785i	−0.466713	+	0.884409i	$0.654562\pi$
$744$	−1.29567	+	0.748054i	−0.0475015	+	0.0274250i
$745$	−0.664804	−	0.866389i	−0.0243565	−	0.0317420i
$746$	4.08660	+	15.2514i	0.149621	+	0.558393i
$747$	−3.82729	−	6.62907i	−0.140033	−	0.242545i
$748$	−8.46119	−	6.80904i	−0.309372	−	0.248963i
$749$	26.9338	+	40.0852i	0.984139	+	1.46468i
$750$	12.5062	−	12.5062i	0.456661	−	0.456661i
$751$	12.2764	−	1.61622i	0.447973	−	0.0589767i	0.0968347	−	0.995300i	$-0.469128\pi$
$751$	12.2764	−	1.61622i	0.447973	−	0.0589767i	0.351138	+	0.936324i	$0.385795\pi$
$752$	−7.98371	−	4.60940i	−0.291136	−	0.168087i
$753$	−23.2807	+	17.8639i	−0.848397	+	0.650998i
$754$	3.33660	−	4.34835i	0.121512	−	0.158357i
$755$	20.4923	−	8.48818i	0.745790	−	0.308916i
$756$	−14.1434	+	4.84175i	−0.514392	+	0.176093i
$757$	4.62649	+	4.62649i	0.168153	+	0.168153i	0.786167	−	0.618014i	$-0.212063\pi$
$757$	4.62649	+	4.62649i	0.168153	+	0.168153i	−0.618014	+	0.786167i	$0.712063\pi$
$758$	−15.7626	−	12.0951i	−0.572523	−	0.439313i
$759$	−0.741586	−	0.0976317i	−0.0269179	−	0.00354381i
$760$	−3.14131	+	2.41041i	−0.113947	+	0.0874348i
$761$	6.59292	−	3.80643i	0.238993	−	0.137983i	−0.375721	−	0.926733i	$-0.622605\pi$
$761$	6.59292	−	3.80643i	0.238993	−	0.137983i	0.614714	+	0.788750i	$0.289271\pi$
$762$	−5.53896	+	13.3722i	−0.200655	+	0.484425i
$763$	10.7141	+	31.2973i	0.387875	+	1.13304i
$764$	−3.84106			−0.138965
$765$	−6.68222	−	1.03744i	−0.241596	−	0.0375088i
$766$	2.27018	−	3.93207i	0.0820251	−	0.142072i
$767$	0.909082	+	3.39274i	0.0328251	+	0.122505i
$768$	1.44097	−	0.189708i	0.0519966	−	0.00684548i
$769$		−	48.8155i		−	1.76033i	−0.474667	−	0.880166i	$-0.657431\pi$
$769$		−	48.8155i		−	1.76033i	0.474667	−	0.880166i	$-0.342569\pi$
$770$	2.54480	+	12.6234i	0.0917083	+	0.454917i
$771$	11.9438	+	28.8348i	0.430144	+	1.03846i
$772$	−20.8955	−	16.0337i	−0.752046	−	0.577065i
$773$	−1.23993	+	0.332239i	−0.0445973	+	0.0119498i	−0.281049	−	0.959693i	$-0.590682\pi$
$773$	−1.23993	+	0.332239i	−0.0445973	+	0.0119498i	0.236451	+	0.971643i	$0.424016\pi$
$774$	3.23675	−	0.867285i	0.116343	−	0.0311739i
$775$	−1.29505	−	0.993729i	−0.0465197	−	0.0356958i
$776$	0.147587	+	0.356306i	0.00529805	+	0.0127906i
$777$	28.5702	+	9.61623i	1.02495	+	0.344980i
$778$		−	2.56880i		−	0.0920959i
$779$	−20.6439	+	2.71781i	−0.739643	+	0.0973758i
$780$	0.595756	+	2.22339i	0.0213315	+	0.0796102i
$781$	9.32391	−	16.1495i	0.333636	−	0.577874i
$782$	−0.650261	+	0.475484i	−0.0232533	+	0.0170033i
$783$	36.1316			1.29124
$784$	6.94473	+	0.877893i	0.248026	+	0.0313533i
$785$	−12.4314	+	30.0121i	−0.443696	+	1.07118i
$786$	18.1482	−	10.4779i	0.647325	−	0.373733i
$787$	−24.9518	+	19.1462i	−0.889437	+	0.682489i	−0.948844	−	0.315745i	$-0.897746\pi$
$787$	−24.9518	+	19.1462i	−0.889437	+	0.682489i	0.0594072	+	0.998234i	$0.481079\pi$
$788$	−23.1834	−	3.05216i	−0.825876	−	0.108729i
$789$	−16.6810	−	12.7998i	−0.593859	−	0.455684i
$790$	5.74345	+	5.74345i	0.204343	+	0.204343i
$791$	−33.6521	−	29.3590i	−1.19653	−	1.04389i
$792$	2.16009	−	0.894738i	0.0767554	−	0.0317931i
$793$	5.12133	−	6.67425i	0.181864	−	0.237009i
$794$	9.24402	−	7.09318i	0.328058	−	0.251728i
$795$	19.6969	+	11.3720i	0.698576	+	0.403323i
$796$	−5.93802	+	0.781755i	−0.210468	+	0.0277086i
$797$	−11.3656	+	11.3656i	−0.402590	+	0.402590i	−0.879145	−	0.476555i	$-0.841885\pi$
$797$	−11.3656	+	11.3656i	−0.402590	+	0.402590i	0.476555	+	0.879145i	$0.341885\pi$
$798$	−4.59562	−	6.83960i	−0.162683	−	0.242119i
$799$	33.3483	−	18.2388i	1.17978	−	0.645243i
$800$	0.792893	+	1.37333i	0.0280330	+	0.0485546i
$801$	−2.30800	−	8.61358i	−0.0815492	−	0.304346i
$802$	6.84322	+	8.91825i	0.241642	+	0.314914i
$803$	21.5994	−	12.4704i	0.762226	−	0.440072i
$804$	−0.832127	−	0.344678i	−0.0293468	−	0.0121559i
$805$	0.953253	+	0.0600122i	0.0335977	+	0.00211515i
$806$	0.815138	−	0.337641i	0.0287120	−	0.0118929i
$807$	4.78051	−	17.8411i	0.168282	−	0.628036i
$808$	1.76769	−	0.473652i	0.0621872	−	0.0166630i
$809$	−4.78124	+	36.3171i	−0.168099	+	1.27684i	0.674490	+	0.738284i	$0.264364\pi$
$809$	−4.78124	+	36.3171i	−0.168099	+	1.27684i	−0.842589	+	0.538557i	$0.818970\pi$
$810$	−6.24211	+	8.13488i	−0.219326	+	0.285831i
$811$	−33.2877	−	13.7882i	−1.16889	−	0.484170i	−0.288064	−	0.957611i	$-0.593011\pi$
$811$	−33.2877	−	13.7882i	−1.16889	−	0.484170i	−0.880825	+	0.473442i	$0.843011\pi$
$812$	−15.1931	−	7.44381i	−0.533175	−	0.261226i
$813$	10.8470	−	26.1870i	0.380422	−	0.918419i
$814$	−19.9461	−	5.34455i	−0.699112	−	0.187326i
$815$	0.331662	−	0.574455i	0.0116176	−	0.0201223i
$816$	−2.42065	+	5.48188i	−0.0847397	+	0.191904i
$817$	4.04493	+	7.00603i	0.141514	+	0.245110i
$818$	16.0486	−	16.0486i	0.561125	−	0.561125i
$819$	1.97316	−	0.397775i	0.0689477	−	0.0138994i
$820$		−	17.9543i		−	0.626992i
$821$	−2.08398	−	15.8294i	−0.0727313	−	0.552449i	−0.988554	−	0.150867i	$-0.951794\pi$
$821$	−2.08398	−	15.8294i	−0.0727313	−	0.552449i	0.915823	−	0.401583i	$-0.131540\pi$
$822$	31.2446	+	4.11343i	1.08978	+	0.143472i
$823$	0.688154	−	5.22705i	0.0239875	−	0.182203i	−0.975257	−	0.221076i	$-0.929043\pi$
$823$	0.688154	−	5.22705i	0.0239875	−	0.182203i	0.999244	+	0.0388723i	$0.0123765\pi$
$824$	−0.0140635	+	0.0524858i	−0.000489926	+	0.00182843i
$825$	−4.29289	−	4.29289i	−0.149459	−	0.149459i
$826$	9.71165	−	4.82042i	0.337911	−	0.167724i
$827$	−8.47693	−	20.4651i	−0.294772	−	0.711642i	−0.999996	−	0.00265791i	$-0.999154\pi$
$827$	−8.47693	−	20.4651i	−0.294772	−	0.711642i	0.705225	−	0.708984i	$-0.250846\pi$
$828$	−0.0226357	−	0.171935i	−0.000786644	−	0.00597515i
$829$	−32.3054	−	18.6515i	−1.12201	−	0.647793i	−0.180098	−	0.983649i	$-0.557641\pi$
$829$	−32.3054	−	18.6515i	−1.12201	−	0.647793i	−0.941914	+	0.335855i	$0.890975\pi$
$830$	9.70044	+	12.6419i	0.336707	+	0.438805i
$831$	−16.6816	−	4.46981i	−0.578677	−	0.155056i
$832$	−0.857117			−0.0297152
$833$	−17.9785	+	22.5782i	−0.622918	+	0.782287i
$834$	−21.7575			−0.753400
$835$	0.291540	+	0.0781180i	0.0100892	+	0.00270339i
$836$	3.43621	+	4.47815i	0.118844	+	0.154880i
$837$	5.03705	+	2.90814i	0.174106	+	0.100520i
$838$	0.124448	+	0.945277i	0.00429899	+	0.0326541i
$839$	20.9571	+	50.5950i	0.723520	+	1.74673i	0.663065	+	0.748562i	$0.269255\pi$
$839$	20.9571	+	50.5950i	0.723520	+	1.74673i	0.0604558	+	0.998171i	$0.480745\pi$
$840$	6.36441	−	3.15900i	0.219593	−	0.108996i
$841$	8.40871	+	8.40871i	0.289955	+	0.289955i
$842$	−9.63545	+	35.9600i	−0.332059	+	1.23926i
$843$	3.15305	−	23.9498i	0.108597	−	0.824875i
$844$	26.5683	+	3.49779i	0.914520	+	0.120399i
$845$	2.95817	+	22.4695i	0.101764	+	0.772975i
$846$			8.18271i			0.281327i
$847$	−10.5337	+	2.12353i	−0.361944	+	0.0729655i
$848$	−5.98852	+	5.98852i	−0.205646	+	0.205646i
$849$	−13.3475	−	23.1186i	−0.458086	−	0.793429i
$850$	−6.53662	−	0.151185i	−0.224204	−	0.00518559i
$851$	−0.765816	+	1.32643i	−0.0262518	+	0.0454695i
$852$	−9.93860	−	2.66304i	−0.340491	−	0.0912342i
$853$	−8.87216	+	21.4193i	−0.303777	+	0.733382i	0.696104	+	0.717941i	$0.254915\pi$
$853$	−8.87216	+	21.4193i	−0.303777	+	0.733382i	−0.999881	+	0.0154411i	$0.995085\pi$
$854$	−23.3198	−	11.4254i	−0.797989	−	0.390970i
$855$	3.24700	+	1.34495i	0.111045	+	0.0459963i
$856$	−11.1118	+	14.4812i	−0.379795	+	0.494958i
$857$	7.59689	−	57.7041i	0.259505	−	1.97113i	0.0219565	−	0.999759i	$-0.493010\pi$
$857$	7.59689	−	57.7041i	0.259505	−	1.97113i	0.237548	−	0.971376i	$-0.423656\pi$
$858$	3.16960	−	0.849291i	0.108208	−	0.0289943i
$859$	3.80552	−	14.2024i	0.129843	−	0.484580i	−0.870123	−	0.492834i	$-0.835961\pi$
$859$	3.80552	−	14.2024i	0.129843	−	0.484580i	0.999966	+	0.00825461i	$0.00262755\pi$
$860$	−6.44471	+	2.66949i	−0.219763	+	0.0910287i
$861$	37.2907	+	2.34764i	1.27086	+	0.0800074i
$862$	−10.2953	−	4.26445i	−0.350659	−	0.145248i
$863$	2.19642	−	1.26811i	0.0747671	−	0.0431668i	−0.462150	−	0.886802i	$-0.652922\pi$
$863$	2.19642	−	1.26811i	0.0747671	−	0.0431668i	0.536918	+	0.843635i	$0.319589\pi$
$864$	−3.43967	−	4.48267i	−0.117020	−	0.152503i
$865$	2.76449	+	10.3172i	0.0939956	+	0.350796i
$866$	−6.43873	−	11.1522i	−0.218797	−	0.378967i
$867$	−14.1189	−	20.2765i	−0.479502	−	0.688627i
$868$	−1.51892	−	2.26059i	−0.0515555	−	0.0767293i
$869$	8.18768	−	8.18768i	0.277748	−	0.277748i
$870$	−17.0262	+	2.24155i	−0.577243	+	0.0759955i
$871$	0.460000	+	0.265581i	0.0155865	+	0.00899887i
$872$	−9.91947	+	7.61147i	−0.335916	+	0.257757i
$873$	0.208390	−	0.271579i	0.00705294	−	0.00919157i
$874$	0.386800	−	0.160218i	0.0130837	−	0.00541945i
$875$	24.2609	+	21.1658i	0.820167	+	0.715536i
$876$	−9.73082	−	9.73082i	−0.328774	−	0.328774i
$877$	17.0549	+	13.0867i	0.575905	+	0.441907i	0.855200	−	0.518298i	$-0.173434\pi$
$877$	17.0549	+	13.0867i	0.575905	+	0.441907i	−0.279295	+	0.960205i	$0.590101\pi$
$878$	12.5645	+	1.65414i	0.424030	+	0.0558247i
$879$	−12.8532	+	9.86260i	−0.433527	+	0.332657i
$880$	−4.21512	+	2.43360i	−0.142092	+	0.0820366i
$881$	−12.1124	+	29.2419i	−0.408077	+	0.985184i	0.577567	+	0.816344i	$0.304002\pi$
$881$	−12.1124	+	29.2419i	−0.408077	+	0.985184i	−0.985643	+	0.168841i	$0.945998\pi$
$882$	−2.40728	−	5.72799i	−0.0810574	−	0.192871i
$883$	−9.20879			−0.309901			−0.154950	−	0.987922i	$-0.549522\pi$
$883$	−9.20879			−0.309901			−0.154950	+	0.987922i	$0.549522\pi$
$884$	1.83729	−	3.01884i	0.0617946	−	0.101535i
$885$	5.50262	−	9.53081i	0.184968	−	0.320375i
$886$	−5.73147	−	21.3901i	−0.192552	−	0.718615i
$887$	−21.5778	+	2.84078i	−0.724513	+	0.0953839i	−0.483758	−	0.875202i	$-0.660728\pi$
$887$	−21.5778	+	2.84078i	−0.724513	+	0.0953839i	−0.240755	+	0.970586i	$0.577395\pi$
$888$			11.3938i			0.382351i
$889$	−24.9716	−	8.40501i	−0.837522	−	0.281895i
$890$	7.10399	+	17.1505i	0.238126	+	0.574887i
$891$	11.5968	+	8.89856i	0.388508	+	0.298113i
$892$	2.02179	−	0.541736i	0.0676944	−	0.0181387i
$893$	−19.0817	+	5.11292i	−0.638544	+	0.171097i
$894$	0.681482	+	0.522920i	0.0227922	+	0.0174891i
$895$	11.7295	+	28.3176i	0.392075	+	0.946554i
$896$	0.522848	+	2.59357i	0.0174671	+	0.0866453i
$897$		−	0.243388i		−	0.00812650i
$898$	−9.56686	+	1.25950i	−0.319250	+	0.0420301i
$899$	1.70369	+	6.35825i	0.0568211	+	0.212059i
$900$	0.703781	−	1.21898i	0.0234594	−	0.0406328i
$901$	−8.25532	−	33.9289i	−0.275025	−	1.13033i
$902$	−25.5951			−0.852224
$903$	−4.70177	−	13.7346i	−0.156465	−	0.457058i
$904$	6.45949	−	15.5946i	0.214839	−	0.518668i
$905$	−5.24082	+	3.02579i	−0.174211	+	0.100581i
$906$	−13.8415	+	10.6210i	−0.459853	+	0.352858i
$907$	46.4654	+	6.11729i	1.54286	+	0.203121i	0.853421	−	0.521223i	$-0.174524\pi$
$907$	46.4654	+	6.11729i	1.54286	+	0.203121i	0.689439	+	0.724344i	$0.257857\pi$
$908$	5.63496	+	4.32385i	0.187003	+	0.143492i
$909$	−1.14860	−	1.14860i	−0.0380968	−	0.0380968i
$910$	−3.96434	+	1.35712i	−0.131417	+	0.0449880i
$911$	8.90535	−	3.68871i	0.295047	−	0.122213i	−0.230250	−	0.973132i	$-0.573954\pi$
$911$	8.90535	−	3.68871i	0.295047	−	0.122213i	0.525297	+	0.850919i	$0.323954\pi$
$912$	1.89597	−	2.47088i	0.0627820	−	0.0818191i
$913$	18.0218	−	13.8286i	0.596436	−	0.457661i
$914$	27.9183	+	16.1186i	0.923455	+	0.533157i
$915$	−26.1334	+	3.44053i	−0.863944	+	0.113740i
$916$	1.39635	−	1.39635i	0.0461367	−	0.0461367i
$917$	21.2753	+	31.6637i	0.702571	+	1.04563i
$918$	23.1615	−	2.50594i	0.764444	−	0.0827084i
$919$	−20.4729	−	35.4601i	−0.675338	−	1.16972i	−0.976370	−	0.216106i	$-0.930664\pi$
$919$	−20.4729	−	35.4601i	−0.675338	−	1.16972i	0.301031	−	0.953614i	$-0.402669\pi$
$920$	0.0934360	+	0.348708i	0.00308049	+	0.0114966i
$921$	25.2555	+	32.9136i	0.832197	+	1.08454i
$922$	11.4611	−	6.61709i	0.377453	−	0.217922i
$923$	5.60596	+	2.32206i	0.184522	+	0.0764317i
$924$	−4.50337	−	9.07291i	−0.148150	−	0.298477i
$925$	−11.4853	+	4.75736i	−0.377634	+	0.156421i
$926$	−9.55883	+	35.6740i	−0.314123	+	1.17232i
$927$	0.0465870	−	0.0124829i	0.00153012	−	0.000409994i
$928$	0.834671	−	6.33996i	0.0273994	−	0.208119i
$929$	−3.16559	+	4.12548i	−0.103860	+	0.135353i	−0.842391	−	0.538866i	$-0.818853\pi$
$929$	−3.16559	+	4.12548i	−0.103860	+	0.135353i	0.738532	+	0.674219i	$0.235520\pi$
$930$	−2.55402	−	1.05791i	−0.0837495	−	0.0346902i
$931$	11.8532	−	9.19276i	0.388473	−	0.301281i
$932$	−5.04004	+	12.1677i	−0.165092	+	0.398568i
$933$	−47.8673	−	12.8260i	−1.56711	−	0.419905i
$934$	17.5692	−	30.4308i	0.574883	−	0.995726i
$935$	0.464025	−	20.0626i	0.0151752	−	0.656117i
$936$	0.380393	+	0.658860i	0.0124335	+	0.0215355i
$937$	−22.9209	+	22.9209i	−0.748793	+	0.748793i	−0.974253	−	0.225460i	$-0.927612\pi$
$937$	−22.9209	+	22.9209i	−0.748793	+	0.748793i	0.225460	+	0.974253i	$0.427612\pi$
$938$	0.523026	−	1.55393i	0.0170774	−	0.0507377i
$939$		−	12.7809i		−	0.417090i
$940$	−2.22340	−	16.8884i	−0.0725193	−	0.550838i
$941$	−53.4847	−	7.04139i	−1.74355	−	0.229543i	−0.809609	−	0.586969i	$-0.800321\pi$
$941$	−53.4847	−	7.04139i	−1.74355	−	0.229543i	−0.933941	+	0.357426i	$0.883654\pi$
$942$	3.33519	−	25.3333i	0.108666	−	0.825402i
$943$	−0.491352	+	1.83375i	−0.0160006	+	0.0597151i
$944$	2.89769	+	2.89769i	0.0943118	+	0.0943118i
$945$	−23.0068	−	15.2870i	−0.748412	−	0.497287i
$946$	3.80553	+	9.18737i	0.123729	+	0.298707i
$947$	4.29497	+	32.6235i	0.139568	+	1.06012i	0.907637	+	0.419755i	$0.137884\pi$
$947$	4.29497	+	32.6235i	0.139568	+	1.06012i	−0.768070	+	0.640366i	$0.778783\pi$
$948$	−5.53299	−	3.19448i	−0.179703	−	0.103752i
$949$	4.94043	+	6.43849i	0.160373	+	0.209002i
$950$	3.28237	+	0.879507i	0.106494	+	0.0285350i
$951$	7.45679			0.241803
$952$	−10.2556	−	3.71798i	−0.332385	−	0.120500i
$953$	−36.5854			−1.18512			−0.592559	−	0.805527i	$-0.701882\pi$
$953$	−36.5854			−1.18512			−0.592559	+	0.805527i	$0.701882\pi$
$954$	7.26107	+	1.94560i	0.235086	+	0.0629911i
$955$	−4.32059	−	5.63071i	−0.139811	−	0.182205i
$956$	−13.5848	−	7.84321i	−0.439365	−	0.253668i
$957$	3.19548	+	24.2721i	0.103295	+	0.784604i
$958$	−11.3927	−	27.5043i	−0.368080	−	0.888623i
$959$	−3.60446	+	57.2545i	−0.116394	+	1.84884i
$960$	1.89897	+	1.89897i	0.0612889	+	0.0612889i
$961$	7.74914	−	28.9202i	0.249972	−	0.932909i
$962$	0.877040	−	6.66178i	0.0282769	−	0.214784i
$963$	16.0631	+	2.11475i	0.517627	+	0.0681469i
$964$	−0.401044	−	3.04623i	−0.0129168	−	0.0981125i
$965$		−	48.6667i		−	1.56664i
$966$	−0.736476	+	0.148469i	−0.0236957	+	0.00477690i
$967$	−39.9881	+	39.9881i	−1.28593	+	1.28593i	−0.348695	+	0.937236i	$0.613375\pi$
$967$	−39.9881	+	39.9881i	−1.28593	+	1.28593i	−0.937236	+	0.348695i	$0.886625\pi$
$968$	−2.03074	−	3.51734i	−0.0652704	−	0.113052i
$969$	4.63853	+	11.9743i	0.149011	+	0.384670i
$970$	−0.356306	+	0.617139i	−0.0114403	+	0.0198152i
$971$	19.0832	+	5.11332i	0.612408	+	0.164094i	0.551674	−	0.834060i	$-0.313989\pi$
$971$	19.0832	+	5.11332i	0.612408	+	0.164094i	0.0607340	+	0.998154i	$0.480656\pi$
$972$	−3.40031	+	8.20907i	−0.109065	+	0.263306i
$973$	−2.69228	−	39.5153i	−0.0863106	−	1.26680i
$974$	−14.2427	−	5.89954i	−0.456367	−	0.189033i
$975$	1.20259	−	1.56725i	0.0385138	−	0.0501922i
$976$	1.28113	−	9.73115i	0.0410080	−	0.311486i
$977$	23.6720	−	6.34289i	0.757334	−	0.202927i	0.140565	−	0.990071i	$-0.455108\pi$
$977$	23.6720	−	6.34289i	0.757334	−	0.202927i	0.616769	+	0.787144i	$0.288441\pi$
$978$	−0.135040	+	0.503977i	−0.00431811	+	0.0161154i
$979$	24.4493	−	10.1272i	0.781402	−	0.323667i
$980$	6.52482	+	11.1680i	0.208428	+	0.356747i
$981$	10.2532	+	4.24702i	0.327360	+	0.135597i
$982$	−27.7088	+	15.9977i	−0.884224	+	0.510507i
$983$	32.4717	+	42.3179i	1.03569	+	1.34973i	0.934934	+	0.354821i	$0.115458\pi$
$983$	32.4717	+	42.3179i	1.03569	+	1.34973i	0.100752	+	0.994912i	$0.467875\pi$
$984$	3.65516	+	13.6413i	0.116522	+	0.434867i
$985$	−21.6035	−	37.4184i	−0.688345	−	1.19225i
$986$	20.5407	+	16.5299i	0.654150	+	0.526419i
$987$	35.3675	−	2.40968i	1.12576	−	0.0767011i
$988$	−1.29874	+	1.29874i	−0.0413185	+	0.0413185i
$989$	0.731280	−	0.0962749i	0.0232534	−	0.00306136i
$990$	3.74138	+	2.16009i	0.118909	+	0.0686521i
$991$	−27.9929	+	21.4797i	−0.889224	+	0.682326i	−0.948793	−	0.315898i	$-0.897694\pi$
$991$	−27.9929	+	21.4797i	−0.889224	+	0.682326i	0.0595687	+	0.998224i	$0.481027\pi$
$992$	0.626647	−	0.816663i	0.0198961	−	0.0259291i
$993$	−22.5206	+	9.32835i	−0.714670	+	0.296026i
$994$	3.60672	−	18.3797i	0.114398	−	0.582969i
$995$	−7.82535	−	7.82535i	−0.248080	−	0.248080i
$996$	−9.94381	−	7.63015i	−0.315082	−	0.241771i
$997$	61.4181	+	8.08585i	1.94513	+	0.256081i	0.997916	−	0.0645196i	$-0.0205515\pi$
$997$	61.4181	+	8.08585i	1.94513	+	0.256081i	0.947214	+	0.320601i	$0.103885\pi$
$998$	−1.88938	+	1.44978i	−0.0598074	+	0.0458919i
$999$	38.3603	−	22.1473i	1.21367	−	0.700710i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	238.2.q.a.25.1	✓	16
7.2	even	3	inner	238.2.q.a.93.2	yes	16
17.15	even	8	inner	238.2.q.a.151.2	yes	16
119.100	even	24	inner	238.2.q.a.219.1	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
238.2.q.a.25.1	✓	16	1.1	even	1	trivial
238.2.q.a.93.2	yes	16	7.2	even	3	inner
238.2.q.a.151.2	yes	16	17.15	even	8	inner
238.2.q.a.219.1	yes	16	119.100	even	24	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:	\( N \)	\(=\)	\( 238 = 2 \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	238.q (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.965926 + 0.258819i) q^{2} +(-0.884777 - 1.15306i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.241181 + 1.83195i) q^{5} +(-0.556194 - 1.34277i) q^{6} +(2.36988 - 1.17630i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.229731 - 0.857367i) q^{9} +(-0.241181 + 1.83195i) q^{10} +(2.61157 + 0.343820i) q^{11} +(-0.189708 - 1.44097i) q^{12} +0.857117i q^{13} +(2.59357 - 0.522848i) q^{14} +(1.89897 - 1.89897i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-4.12200 - 0.0953372i) q^{17} +(0.443806 - 0.768694i) q^{18} +(2.06987 + 0.554619i) q^{19} +(-0.707107 + 1.70711i) q^{20} +(-3.45316 - 1.69186i) q^{21} +(2.43360 + 1.00803i) q^{22} +(0.118938 - 0.155003i) q^{23} +(0.189708 - 1.44097i) q^{24} +(1.53175 - 0.410432i) q^{25} +(-0.221838 + 0.827911i) q^{26} +(-5.22018 + 2.16227i) q^{27} +(2.64052 + 0.166235i) q^{28} +(-5.90790 - 2.44713i) q^{29} +(2.32575 - 1.34277i) q^{30} +(-0.626647 - 0.816663i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-1.91421 - 3.31552i) q^{33} +(-3.95687 - 1.15894i) q^{34} +(2.72649 + 4.05780i) q^{35} +(0.627636 - 0.627636i) q^{36} +(-7.77231 + 1.02324i) q^{37} +(1.85579 + 1.07144i) q^{38} +(0.988311 - 0.758358i) q^{39} +(-1.12484 + 1.46593i) q^{40} +(-8.97716 + 3.71846i) q^{41} +(-2.89761 - 2.52796i) q^{42} +(2.66949 + 2.66949i) q^{43} +(2.08978 + 1.60354i) q^{44} +(1.62606 + 0.214075i) q^{45} +(0.155003 - 0.118938i) q^{46} +(-7.98371 + 4.60940i) q^{47} +(0.556194 - 1.34277i) q^{48} +(4.23264 - 5.57537i) q^{49} +1.58579 q^{50} +(3.53713 + 4.83729i) q^{51} +(-0.428558 + 0.742285i) q^{52} +(2.19195 + 8.18047i) q^{53} +(-5.60194 + 0.737509i) q^{54} +4.86720i q^{55} +(2.50753 + 0.843988i) q^{56} +(-1.19186 - 2.87740i) q^{57} +(-5.07323 - 3.89282i) q^{58} +(3.95832 - 1.06063i) q^{59} +(2.59404 - 0.695070i) q^{60} +(-7.78686 - 5.97507i) q^{61} +(-0.393927 - 0.951024i) q^{62} +(-0.464085 - 2.30209i) q^{63} +1.00000i q^{64} +(-1.57020 + 0.206720i) q^{65} +(-0.990870 - 3.69798i) q^{66} +(0.309854 - 0.536683i) q^{67} +(-3.52209 - 2.14357i) q^{68} -0.283962 q^{69} +(1.58335 + 4.62520i) q^{70} +(2.70916 - 6.54048i) q^{71} +(0.768694 - 0.443806i) q^{72} +(7.51180 - 5.76401i) q^{73} +(-7.77231 - 1.02324i) q^{74} +(-1.82851 - 1.40307i) q^{75} +(1.51525 + 1.51525i) q^{76} +(6.59354 - 2.25718i) q^{77} +(1.15091 - 0.476724i) q^{78} +(2.67602 - 3.48746i) q^{79} +(-1.46593 + 1.12484i) q^{80} +(4.80585 + 2.77466i) q^{81} +(-9.63368 + 1.26830i) q^{82} +(6.09795 - 6.09795i) q^{83} +(-2.14460 - 3.19177i) q^{84} +(-0.819496 - 7.57430i) q^{85} +(1.88761 + 3.26944i) q^{86} +(2.40547 + 8.97735i) q^{87} +(1.60354 + 2.08978i) q^{88} +(8.70057 - 5.02328i) q^{89} +(1.51525 + 0.627636i) q^{90} +(1.00823 + 2.03126i) q^{91} +(0.180504 - 0.0747674i) q^{92} +(-0.387221 + 1.44513i) q^{93} +(-8.90467 + 2.38600i) q^{94} +(-0.516823 + 3.92566i) q^{95} +(0.884777 - 1.15306i) q^{96} +(0.356306 + 0.147587i) q^{97} +(5.53143 - 4.28990i) q^{98} +(0.894738 - 2.16009i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 4 q^{3} + 8 q^{5} - 8 q^{6} + 12 q^{7} - 4 q^{9} - 8 q^{10} + 4 q^{11} - 12 q^{14} + 8 q^{15} + 8 q^{16} + 8 q^{18} + 12 q^{19} - 16 q^{22} + 8 q^{23} - 8 q^{25} - 12 q^{26} - 8 q^{27} - 40 q^{29}+ \cdots + 32 q^{99}+O(q^{100}) \) 16 * q + 4 * q^3 + 8 * q^5 - 8 * q^6 + 12 * q^7 - 4 * q^9 - 8 * q^10 + 4 * q^11 - 12 * q^14 + 8 * q^15 + 8 * q^16 + 8 * q^18 + 12 * q^19 - 16 * q^22 + 8 * q^23 - 8 * q^25 - 12 * q^26 - 8 * q^27 - 40 * q^29 + 20 * q^31 - 8 * q^33 + 8 * q^36 - 24 * q^37 + 4 * q^39 - 24 * q^41 - 20 * q^42 + 16 * q^43 - 8 * q^44 + 4 * q^45 + 8 * q^46 + 8 * q^48 + 48 * q^50 + 4 * q^51 - 8 * q^52 + 24 * q^53 + 12 * q^56 - 8 * q^57 - 20 * q^58 - 32 * q^59 + 4 * q^60 + 4 * q^61 - 40 * q^62 + 28 * q^63 + 12 * q^65 + 16 * q^66 - 24 * q^67 - 48 * q^69 - 12 * q^70 - 72 * q^71 + 8 * q^73 - 24 * q^74 + 4 * q^75 + 24 * q^76 + 12 * q^77 + 8 * q^78 - 8 * q^80 - 12 * q^82 + 80 * q^83 + 8 * q^84 + 32 * q^86 + 12 * q^87 - 4 * q^88 + 24 * q^90 - 40 * q^91 + 16 * q^92 - 12 * q^93 - 12 * q^94 - 28 * q^95 - 4 * q^96 + 24 * q^97 + 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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