LMFDB - Embedded newform 238.2.q.a.93.2

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			93.2
Root			$-1.57391 - 1.48605i$ of defining polynomial
Character	$\chi$	$=$	238.93
Dual form			238.2.q.a.151.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.258819 - 0.965926i) q^{2} +(1.44097 - 0.189708i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(1.46593 - 1.12484i) q^{5} +(-0.556194 - 1.34277i) q^{6} +(2.50753 - 0.843988i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.857367 + 0.229731i) q^{9} +(-1.46593 - 1.12484i) q^{10} +(-1.60354 + 2.08978i) q^{11} +(-1.15306 + 0.884777i) q^{12} +0.857117i q^{13} +(-1.46423 - 2.20364i) q^{14} +(1.89897 - 1.89897i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.14357 - 3.52209i) q^{17} +(0.443806 + 0.768694i) q^{18} +(-0.554619 - 2.06987i) q^{19} +(-0.707107 + 1.70711i) q^{20} +(3.45316 - 1.69186i) q^{21} +(2.43360 + 1.00803i) q^{22} +(-0.193705 - 0.0255018i) q^{23} +(1.15306 + 0.884777i) q^{24} +(-0.410432 + 1.53175i) q^{25} +(0.827911 - 0.221838i) q^{26} +(-5.22018 + 2.16227i) q^{27} +(-1.74959 + 1.98468i) q^{28} +(-5.90790 - 2.44713i) q^{29} +(-2.32575 - 1.34277i) q^{30} +(1.02057 - 0.134361i) q^{31} +(-0.965926 - 0.258819i) 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} +(4.77231 + 6.21940i) q^{37} +(-1.85579 + 1.07144i) q^{38} +(0.162602 + 1.23508i) q^{39} +(1.83195 + 0.241181i) q^{40} +(-8.97716 + 3.71846i) q^{41} +(-2.52796 - 2.89761i) q^{42} +(2.66949 + 2.66949i) q^{43} +(0.343820 - 2.61157i) q^{44} +(-0.998425 + 1.30117i) q^{45} +(0.0255018 + 0.193705i) q^{46} +(7.98371 + 4.60940i) q^{47} +(0.556194 - 1.34277i) q^{48} +(5.57537 - 4.23264i) q^{49} +1.58579 q^{50} +(2.42065 - 5.48188i) q^{51} +(-0.428558 - 0.742285i) q^{52} +(-8.18047 - 2.19195i) q^{53} +(3.43967 + 4.48267i) q^{54} +4.86720i q^{55} +(2.36988 + 1.17630i) q^{56} +(-1.19186 - 2.87740i) q^{57} +(-0.834671 + 6.33996i) q^{58} +(-1.06063 + 3.95832i) q^{59} +(-0.695070 + 2.59404i) q^{60} +(-1.28113 + 9.73115i) q^{61} +(-0.393927 - 0.951024i) q^{62} +(-1.95598 + 1.29966i) q^{63} +1.00000i q^{64} +(0.964123 + 1.25647i) q^{65} +(3.69798 + 0.990870i) q^{66} +(0.309854 + 0.536683i) q^{67} +(-0.0953372 + 4.12200i) q^{68} -0.283962 q^{69} +(-4.62520 - 1.58335i) q^{70} +(2.70916 - 6.54048i) q^{71} +(-0.768694 - 0.443806i) q^{72} +(1.23588 + 9.38742i) q^{73} +(4.77231 - 6.21940i) q^{74} +(-0.300836 + 2.28507i) q^{75} +(1.51525 + 1.51525i) q^{76} +(-2.25718 + 6.59354i) q^{77} +(1.15091 - 0.476724i) q^{78} +(-4.35824 - 0.573773i) q^{79} +(-0.241181 - 1.83195i) q^{80} +(-4.80585 + 2.77466i) q^{81} +(5.91522 + 7.70886i) 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} +(-8.97735 - 2.40547i) q^{87} +(-2.61157 + 0.343820i) q^{88} +(-8.70057 - 5.02328i) q^{89} +(1.51525 + 0.627636i) q^{90} +(0.723396 + 2.14924i) q^{91} +(0.180504 - 0.0747674i) q^{92} +(1.44513 - 0.387221i) q^{93} +(2.38600 - 8.90467i) q^{94} +(-3.14131 - 2.41041i) q^{95} +(-1.44097 - 0.189708i) 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 $\left(\mathbb{Z}/238\mathbb{Z}\right)^\times$.

$n$	$71$	$171$
$\chi(n)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.258819	−	0.965926i	−0.183013	−	0.683013i
$2$	−0.258819	−	0.965926i	−0.183013	−	0.683013i
$3$	1.44097	−	0.189708i	0.831945	−	0.109528i	0.297491	−	0.954725i	$-0.403850\pi$
$3$	1.44097	−	0.189708i	0.831945	−	0.109528i	0.534455	+	0.845197i	$0.320517\pi$
$4$	−0.866025	+	0.500000i	−0.433013	+	0.250000i
$5$	1.46593	−	1.12484i	0.655582	−	0.503046i	−0.226580	−	0.973993i	$-0.572754\pi$
$5$	1.46593	−	1.12484i	0.655582	−	0.503046i	0.882162	+	0.470947i	$0.156088\pi$
$6$	−0.556194	−	1.34277i	−0.227065	−	0.548184i
$7$	2.50753	−	0.843988i	0.947756	−	0.318998i
$7$	2.50753	−	0.843988i	0.947756	−	0.318998i
$8$	0.707107	+	0.707107i	0.250000	+	0.250000i
$9$	−0.857367	+	0.229731i	−0.285789	+	0.0765769i
$10$	−1.46593	−	1.12484i	−0.463566	−	0.355707i
$11$	−1.60354	+	2.08978i	−0.483486	+	0.630092i	−0.969861	−	0.243659i	$-0.921652\pi$
$11$	−1.60354	+	2.08978i	−0.483486	+	0.630092i	0.486375	+	0.873750i	$0.338319\pi$
$12$	−1.15306	+	0.884777i	−0.332861	+	0.255413i
$13$			0.857117i			0.237721i	0.992911	+	0.118861i	$0.0379242\pi$
$13$			0.857117i			0.237721i	−0.992911	+	0.118861i	$0.962076\pi$
$14$	−1.46423	−	2.20364i	−0.391331	−	0.588948i
$15$	1.89897	−	1.89897i	0.490311	−	0.490311i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	2.14357	−	3.52209i	0.519891	−	0.854233i
$17$	2.14357	−	3.52209i	0.519891	−	0.854233i
$18$	0.443806	+	0.768694i	0.104606	+	0.181183i
$19$	−0.554619	−	2.06987i	−0.127238	−	0.474860i	0.872671	−	0.488308i	$-0.162386\pi$
$19$	−0.554619	−	2.06987i	−0.127238	−	0.474860i	−0.999910	+	0.0134483i	$0.995719\pi$
$20$	−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
$23$	−0.193705	−	0.0255018i	−0.0403903	−	0.00531749i	0.110304	−	0.993898i	$-0.464818\pi$
$23$	−0.193705	−	0.0255018i	−0.0403903	−	0.00531749i	−0.150694	+	0.988580i	$0.548151\pi$
$24$	1.15306	+	0.884777i	0.235368	+	0.180604i
$25$	−0.410432	+	1.53175i	−0.0820863	+	0.306350i
$26$	0.827911	−	0.221838i	0.162367	−	0.0435060i
$27$	−5.22018	+	2.16227i	−1.00462	+	0.416129i
$28$	−1.74959	+	1.98468i	−0.330641	+	0.375069i
$29$	−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
$31$	1.02057	−	0.134361i	0.183301	−	0.0241320i	−0.0383170	−	0.999266i	$-0.512200\pi$
$31$	1.02057	−	0.134361i	0.183301	−	0.0241320i	0.221618	+	0.975134i	$0.428866\pi$
$32$	−0.965926	−	0.258819i	−0.170753	−	0.0457532i
$33$	−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
$37$	4.77231	+	6.21940i	0.784563	+	1.02246i	0.998955	+	0.0457147i	$0.0145565\pi$
$37$	4.77231	+	6.21940i	0.784563	+	1.02246i	−0.214391	+	0.976748i	$0.568777\pi$
$38$	−1.85579	+	1.07144i	−0.301049	+	0.173811i
$39$	0.162602	+	1.23508i	0.0260371	+	0.197771i
$40$	1.83195	+	0.241181i	0.289657	+	0.0381341i
$41$	−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	$0.649192\pi$
$42$	−2.52796	−	2.89761i	−0.390072	−	0.447111i
$43$	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	$0.657057\pi$
$44$	0.343820	−	2.61157i	0.0518328	−	0.393709i
$45$	−0.998425	+	1.30117i	−0.148836	+	0.193967i
$46$	0.0255018	+	0.193705i	0.00376003	+	0.0285603i
$47$	7.98371	+	4.60940i	1.16454	+	0.672350i	0.952389	−	0.304886i	$-0.0986184\pi$
$47$	7.98371	+	4.60940i	1.16454	+	0.672350i	0.212155	+	0.977236i	$0.431952\pi$
$48$	0.556194	−	1.34277i	0.0802797	−	0.193812i
$49$	5.57537	−	4.23264i	0.796481	−	0.604663i
$50$	1.58579			0.224264
$51$	2.42065	−	5.48188i	0.338959	−	0.767617i
$52$	−0.428558	−	0.742285i	−0.0594304	−	0.102936i
$53$	−8.18047	−	2.19195i	−1.12367	−	0.301087i	−0.351304	−	0.936261i	$-0.614262\pi$
$53$	−8.18047	−	2.19195i	−1.12367	−	0.301087i	−0.772369	+	0.635174i	$0.780928\pi$
$54$	3.43967	+	4.48267i	0.468080	+	0.610014i
$55$			4.86720i			0.656293i
$56$	2.36988	+	1.17630i	0.316688	+	0.157190i
$57$	−1.19186	−	2.87740i	−0.157866	−	0.381121i
$58$	−0.834671	+	6.33996i	−0.109598	+	0.832477i
$59$	−1.06063	+	3.95832i	−0.138082	+	0.515329i	0.861884	+	0.507105i	$0.169284\pi$
$59$	−1.06063	+	3.95832i	−0.138082	+	0.515329i	−0.999966	+	0.00822393i	$0.997382\pi$
$60$	−0.695070	+	2.59404i	−0.0897331	+	0.334889i
$61$	−1.28113	+	9.73115i	−0.164032	+	1.24595i	0.689261	+	0.724513i	$0.257935\pi$
$61$	−1.28113	+	9.73115i	−0.164032	+	1.24595i	−0.853293	+	0.521432i	$0.825398\pi$
$62$	−0.393927	−	0.951024i	−0.0500288	−	0.120780i
$63$	−1.95598	+	1.29966i	−0.246430	+	0.163742i
$64$			1.00000i			0.125000i
$65$	0.964123	+	1.25647i	0.119585	+	0.155846i
$66$	3.69798	+	0.990870i	0.455189	+	0.121968i
$67$	0.309854	+	0.536683i	0.0378547	+	0.0655663i	0.884332	−	0.466858i	$-0.154614\pi$
$67$	0.309854	+	0.536683i	0.0378547	+	0.0655663i	−0.846477	+	0.532425i	$0.821281\pi$
$68$	−0.0953372	+	4.12200i	−0.0115613	+	0.499866i
$69$	−0.283962			−0.0341850
$70$	−4.62520	−	1.58335i	−0.552817	−	0.189247i
$71$	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
$73$	1.23588	+	9.38742i	0.144648	+	1.09871i	0.897654	+	0.440700i	$0.145270\pi$
$73$	1.23588	+	9.38742i	0.144648	+	1.09871i	−0.753006	+	0.658014i	$0.771397\pi$
$74$	4.77231	−	6.21940i	0.554770	−	0.722990i
$75$	−0.300836	+	2.28507i	−0.0347375	+	0.263858i
$76$	1.51525	+	1.51525i	0.173811	+	0.173811i
$77$	−2.25718	+	6.59354i	−0.257229	+	0.751404i
$78$	1.15091	−	0.476724i	0.130315	−	0.0539783i
$79$	−4.35824	−	0.573773i	−0.490340	−	0.0645545i	−0.118698	−	0.992930i	$-0.537872\pi$
$79$	−4.35824	−	0.573773i	−0.490340	−	0.0645545i	−0.371643	+	0.928376i	$0.621205\pi$
$80$	−0.241181	−	1.83195i	−0.0269649	−	0.204818i
$81$	−4.80585	+	2.77466i	−0.533983	+	0.308295i
$82$	5.91522	+	7.70886i	0.653227	+	0.851301i
$83$	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
$87$	−8.97735	−	2.40547i	−0.962473	−	0.257894i
$88$	−2.61157	+	0.343820i	−0.278395	+	0.0366513i
$89$	−8.70057	−	5.02328i	−0.922259	−	0.532466i	−0.0379037	−	0.999281i	$-0.512068\pi$
$89$	−8.70057	−	5.02328i	−0.922259	−	0.532466i	−0.884355	+	0.466815i	$0.845401\pi$
$90$	1.51525	+	0.627636i	0.159721	+	0.0661586i
$91$	0.723396	+	2.14924i	0.0758325	+	0.225302i
$92$	0.180504	−	0.0747674i	0.0188189	−	0.00779504i
$93$	1.44513	−	0.387221i	0.149853	−	0.0401530i
$94$	2.38600	−	8.90467i	0.246097	−	0.918447i
$95$	−3.14131	−	2.41041i	−0.322291	−	0.247303i
$96$	−1.44097	−	0.189708i	−0.147069	−	0.0193619i
$97$	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
$100$	−0.410432	−	1.53175i	−0.0410432	−	0.153175i
$101$	0.915025	+	1.58487i	0.0910484	+	0.157700i	0.907953	−	0.419073i	$-0.137645\pi$
$101$	0.915025	+	1.58487i	0.0910484	+	0.157700i	−0.816904	+	0.576773i	$0.804312\pi$
$102$	−5.92160	−	0.919353i	−0.586326	−	0.0910295i
$103$	0.0271687	−	0.0470575i	0.00267701	−	0.00463671i	−0.864684	−	0.502317i	$-0.832481\pi$
$103$	0.0271687	−	0.0470575i	0.00267701	−	0.00463671i	0.867361	+	0.497680i	$0.165815\pi$
$104$	−0.606073	+	0.606073i	−0.0594304	+	0.0594304i
$105$	3.15900	−	6.36441i	0.308287	−	0.621103i
$106$			8.46904i			0.822586i
$107$	14.4812	−	11.1118i	1.39995	−	1.07422i	0.413441	−	0.910531i	$-0.364327\pi$
$107$	14.4812	−	11.1118i	1.39995	−	1.07422i	0.986512	−	0.163690i	$-0.0523398\pi$
$108$	3.43967	−	4.48267i	0.330982	−	0.431345i
$109$	−9.91947	−	7.61147i	−0.950113	−	0.729047i	0.0125020	−	0.999922i	$-0.496020\pi$
$109$	−9.91947	−	7.61147i	−0.950113	−	0.729047i	−0.962615	+	0.270875i	$0.912687\pi$
$110$	4.70135	−	1.25972i	0.448256	−	0.120110i
$111$	8.05663	+	8.05663i	0.764702	+	0.764702i
$112$	0.522848	−	2.59357i	0.0494045	−	0.245070i
$113$	−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	$-0.416975\pi$
$114$	−2.47088	+	1.89597i	−0.231419	+	0.177574i
$115$	−0.312643	+	0.180504i	−0.0291541	+	0.0168321i
$116$	6.33996	−	0.834671i	0.588650	−	0.0774973i
$117$	−0.196906	−	0.734863i	−0.0182040	−	0.0679381i
$118$	4.09795			0.377247
$119$	2.40244	−	10.6409i	0.220232	−	0.975448i
$120$	2.68554			0.245155
$121$	1.05119	+	3.92309i	0.0955625	+	0.356644i
$122$	9.73115	−	1.28113i	0.881017	−	0.115988i
$123$	−12.2304	+	7.06123i	−1.10278	+	0.636690i
$124$	−0.816663	+	0.626647i	−0.0733385	+	0.0562746i
$125$	4.65685	+	11.2426i	0.416522	+	1.00557i
$126$	1.76162	+	1.55295i	0.156938	+	0.138348i
$127$	−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	$0.895676\pi$
$128$	0.965926	−	0.258819i	0.0853766	−	0.0228766i
$129$	4.35307	+	3.34023i	0.383267	+	0.294091i
$130$	0.964123	−	1.25647i	0.0845592	−	0.110200i
$131$	11.4389	−	8.77735i	0.999418	−	0.766880i	0.0268833	−	0.999639i	$-0.491442\pi$
$131$	11.4389	−	8.77735i	0.999418	−	0.766880i	0.972535	+	0.232758i	$0.0747751\pi$
$132$		−	3.82843i		−	0.333222i
$133$	−3.13766	−	4.72215i	−0.272070	−	0.409462i
$134$	0.438200	−	0.438200i	0.0378547	−	0.0378547i
$135$	−5.22018	+	9.04161i	−0.449281	+	0.778178i
$136$	4.00622	−	0.974764i	0.343531	−	0.0835853i
$137$	−10.8415	−	18.7780i	−0.926251	−	1.60431i	−0.789536	−	0.613704i	$-0.789679\pi$
$137$	−10.8415	−	18.7780i	−0.926251	−	1.60431i	−0.136716	−	0.990610i	$-0.543655\pi$
$138$	0.0734947	+	0.274286i	0.00625628	+	0.0233488i
$139$	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
$142$	−7.01880	−	0.924043i	−0.589005	−	0.0775439i
$143$	−1.79118	−	1.37442i	−0.149786	−	0.114935i
$144$	−0.229731	+	0.857367i	−0.0191442	+	0.0714472i
$145$	−11.4132	+	3.05815i	−0.947813	+	0.253966i
$146$	8.74768	−	3.62341i	0.723963	−	0.299875i
$147$	7.23098	−	7.15681i	0.596402	−	0.590284i
$148$	−7.24264	−	3.00000i	−0.595341	−	0.246598i
$149$	0.511837	+	0.295509i	0.0419313	+	0.0242091i	0.520819	−	0.853667i	$-0.325627\pi$
$149$	0.511837	+	0.295509i	0.0419313	+	0.0242091i	−0.478888	+	0.877876i	$0.658960\pi$
$150$	2.28507	−	0.300836i	0.186575	−	0.0245631i
$151$	11.5951	+	3.10689i	0.943593	+	0.252835i	0.697642	−	0.716447i	$-0.254233\pi$
$151$	11.5951	+	3.10689i	0.943593	+	0.252835i	0.245952	+	0.969282i	$0.420899\pi$
$152$	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
$156$	−0.758358	−	0.988311i	−0.0607172	−	0.0791282i
$157$	−15.2253	+	8.79034i	−1.21511	+	0.701546i	−0.963869	−	0.266378i	$-0.914173\pi$
$157$	−15.2253	+	8.79034i	−1.21511	+	0.701546i	−0.251244	+	0.967924i	$0.580840\pi$
$158$	0.573773	+	4.35824i	0.0456470	+	0.346723i
$159$	−12.2036	−	1.60664i	−0.967812	−	0.127415i
$160$	−1.70711	+	0.707107i	−0.134959	+	0.0559017i
$161$	−0.507244	+	0.0995385i	−0.0399764	+	0.00784474i
$162$	3.92396	+	3.92396i	0.308295	+	0.308295i
$163$	−0.0468574	+	0.355917i	−0.00367015	+	0.0278776i	−0.993182	−	0.116575i	$-0.962809\pi$
$163$	−0.0468574	+	0.355917i	−0.00367015	+	0.0278776i	0.989512	+	0.144452i	$0.0461420\pi$
$164$	5.91522	−	7.70886i	0.461901	−	0.601961i
$165$	0.923344	+	7.01349i	0.0718822	+	0.546000i
$166$	−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	$0.122988\pi$
$168$	3.63808	+	1.24543i	0.280684	+	0.0960870i
$169$	12.2654			0.943489
$170$	−7.10411	+	2.75195i	−0.544861	+	0.211065i
$171$	0.951024	+	1.64722i	0.0727266	+	0.125966i
$172$	−3.64658	−	0.977099i	−0.278049	−	0.0745031i
$173$	−3.51902	−	4.58607i	−0.267546	−	0.348673i	0.640189	−	0.768218i	$-0.278856\pi$
$173$	−3.51902	−	4.58607i	−0.267546	−	0.348673i	−0.907734	+	0.419545i	$0.862190\pi$
$174$			9.29404i			0.704579i
$175$	0.263612	+	4.18731i	0.0199272	+	0.316531i
$176$	1.00803	+	2.43360i	0.0759831	+	0.183439i
$177$	−0.777413	+	5.90503i	−0.0584339	+	0.443850i
$178$	−2.60024	+	9.70422i	−0.194896	+	0.727362i
$179$	−4.29331	+	16.0229i	−0.320897	+	1.19760i	0.597475	+	0.801887i	$0.296171\pi$
$179$	−4.29331	+	16.0229i	−0.320897	+	1.19760i	−0.918372	+	0.395717i	$0.870496\pi$
$180$	0.214075	−	1.62606i	0.0159562	−	0.121199i
$181$	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	$0.836160\pi$
$182$	1.88878	−	1.25501i	0.140006	−	0.0930277i
$183$			14.2654i			1.05453i
$184$	−0.118938	−	0.155003i	−0.00876821	−	0.0114270i
$185$	13.9917	+	3.74907i	1.02869	+	0.275637i
$186$	−0.748054	−	1.29567i	−0.0548500	−	0.0950029i
$187$	3.92309	+	10.1274i	0.286885	+	0.740589i
$188$	−9.21880			−0.672350
$189$	−11.2648	+	9.82771i	−0.819393	+	0.714860i
$190$	−1.51525	+	3.65813i	−0.109928	+	0.265389i
$191$	3.32645	+	1.92053i	0.240694	+	0.138965i	0.615496	−	0.788140i	$-0.288956\pi$
$191$	3.32645	+	1.92053i	0.240694	+	0.138965i	−0.374802	+	0.927105i	$0.622289\pi$
$192$	0.189708	+	1.44097i	0.0136910	+	0.103993i
$193$	16.0337	−	20.8955i	1.15413	−	1.50409i	0.324406	−	0.945918i	$-0.394836\pi$
$193$	16.0337	−	20.8955i	1.15413	−	1.50409i	0.829724	−	0.558174i	$-0.188498\pi$
$194$	0.0503390	−	0.382363i	0.00361413	−	0.0274521i
$195$	1.62764	+	1.62764i	0.116557	+	0.116557i
$196$	−2.71209	+	6.45326i	−0.193721	+	0.460947i
$197$	−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	$0.688380\pi$
$198$	−2.31806	−	0.305179i	−0.164737	−	0.0216881i
$199$	−0.781755	−	5.93802i	−0.0554172	−	0.420935i	−0.996557	−	0.0829163i	$-0.973577\pi$
$199$	−0.781755	−	5.93802i	−0.0554172	−	0.420935i	0.941139	−	0.338019i	$-0.109757\pi$
$200$	−1.37333	+	0.792893i	−0.0971092	+	0.0560660i
$201$	0.548304	+	0.714563i	0.0386744	+	0.0504014i
$202$	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
$206$	−0.0524858	−	0.0140635i	−0.00365686	−	0.000979853i
$207$	0.171935	−	0.0226357i	0.0119503	−	0.00157329i
$208$	0.742285	+	0.428558i	0.0514682	+	0.0297152i
$209$	5.21492	+	2.16009i	0.360723	+	0.149416i
$210$	−6.96516	−	1.40413i	−0.480642	−	0.0968942i
$211$	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	$0.00121539\pi$
$212$	8.18047	−	2.19195i	0.561837	−	0.150544i
$213$	2.66304	−	9.93860i	0.182468	−	0.680982i
$214$	−14.4812	−	11.1118i	−0.989916	−	0.759589i
$215$	6.91602	+	0.910512i	0.471669	+	0.0620964i
$216$	−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
$219$	3.56173	+	13.2925i	0.240679	+	0.898227i
$220$	−2.43360	−	4.21512i	−0.164073	−	0.284183i
$221$	3.01884	+	1.83729i	0.203069	+	0.123589i
$222$	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	$0.227674\pi$
$224$	−2.64052	+	0.166235i	−0.176427	+	0.0111070i
$225$		−	1.40756i		−	0.0938375i
$226$	−13.3914	+	10.2756i	−0.890781	+	0.683520i
$227$	−4.32385	+	5.63496i	−0.286984	+	0.374005i	−0.914491	−	0.404606i	$-0.867409\pi$
$227$	−4.32385	+	5.63496i	−0.286984	+	0.374005i	0.627507	+	0.778611i	$0.284075\pi$
$228$	2.47088	+	1.89597i	0.163638	+	0.125564i
$229$	−1.90745	+	0.511100i	−0.126048	+	0.0337744i	−0.321291	−	0.946980i	$-0.604117\pi$
$229$	−1.90745	+	0.511100i	−0.126048	+	0.0337744i	0.195244	+	0.980755i	$0.437450\pi$
$230$	0.255272	+	0.255272i	0.0168321	+	0.0168321i
$231$	−2.00168	+	9.92931i	−0.131701	+	0.653301i
$232$	−2.44713	−	5.90790i	−0.160662	−	0.387873i
$233$	10.4487	−	8.01755i	0.684516	−	0.525247i	−0.206941	−	0.978353i	$-0.566351\pi$
$233$	10.4487	−	8.01755i	0.684516	−	0.525247i	0.891457	+	0.453106i	$0.149684\pi$
$234$	−0.658860	+	0.380393i	−0.0430711	+	0.0248671i
$235$	16.8884	−	2.22340i	1.10168	−	0.145039i
$236$	−1.06063	−	3.95832i	−0.0690410	−	0.257665i
$237$	−6.38895			−0.415007
$238$	−10.9001	+	0.433479i	−0.706548	+	0.0280983i
$239$	−15.6864			−1.01467			−0.507335	−	0.861749i	$-0.669369\pi$
$239$	−15.6864			−1.01467			−0.507335	+	0.861749i	$0.669369\pi$
$240$	−0.695070	−	2.59404i	−0.0448666	−	0.167444i
$241$	3.04623	−	0.401044i	0.196225	−	0.0258335i	−0.0317730	−	0.999495i	$-0.510115\pi$
$241$	3.04623	−	0.401044i	0.196225	−	0.0258335i	0.227998	+	0.973662i	$0.426782\pi$
$242$	3.51734	−	2.03074i	0.226103	−	0.130541i
$243$	7.04928	−	5.40911i	0.452212	−	0.346994i
$244$	−3.75608	−	9.06799i	−0.240459	−	0.580518i
$245$	3.41201	−	12.4762i	0.217985	−	0.797073i
$246$	9.98609	+	9.98609i	0.636690	+	0.636690i
$247$	1.77412	−	0.475373i	0.112884	−	0.0302473i
$248$	0.816663	+	0.626647i	0.0518581	+	0.0397921i
$249$	7.63015	−	9.94381i	0.483541	−	0.630163i
$250$	9.65427	−	7.40799i	0.610590	−	0.468522i
$251$		−	20.1903i		−	1.27440i	−0.770698	−	0.637201i	$-0.780092\pi$
$251$		−	20.1903i		−	1.27440i	0.770698	−	0.637201i	$-0.219908\pi$
$252$	1.04410	−	2.10353i	0.0657719	−	0.132510i
$253$	0.363908	−	0.363908i	0.0228787	−	0.0228787i
$254$	−4.97934	+	8.62447i	−0.312432	+	0.541147i
$255$	−2.61777	−	10.7589i	−0.163931	−	0.673748i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	5.55790	+	20.7424i	0.346692	+	1.29387i	0.890623	+	0.454743i	$0.150269\pi$
$257$	5.55790	+	20.7424i	0.346692	+	1.29387i	−0.543931	+	0.839130i	$0.683065\pi$
$258$	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
$261$	5.62742	+	0.740863i	0.348328	+	0.0458583i
$262$	−11.4389	−	8.77735i	−0.706695	−	0.542266i
$263$	−3.74425	+	13.9737i	−0.230880	+	0.861657i	0.749082	+	0.662477i	$0.230495\pi$
$263$	−3.74425	+	13.9737i	−0.230880	+	0.861657i	−0.979963	+	0.199180i	$0.936172\pi$
$264$	−3.69798	+	0.990870i	−0.227595	+	0.0609838i
$265$	−14.4576	+	5.98852i	−0.888121	+	0.367872i
$266$	−3.74916	+	4.25293i	−0.229876	+	0.260764i
$267$	−13.4902	−	5.58784i	−0.825589	−	0.341970i
$268$	−0.536683	−	0.309854i	−0.0327831	−	0.0189273i
$269$	−12.5997	+	1.65878i	−0.768216	+	0.101138i	−0.504440	−	0.863447i	$-0.668301\pi$
$269$	−12.5997	+	1.65878i	−0.768216	+	0.101138i	−0.263775	+	0.964584i	$0.584968\pi$
$270$	10.0846	+	2.70216i	0.613729	+	0.164448i
$271$	9.75111	−	16.8894i	0.592338	−	1.02596i	−0.401579	−	0.915824i	$-0.631539\pi$
$271$	9.75111	−	16.8894i	0.592338	−	1.02596i	0.993917	−	0.110134i	$-0.0351281\pi$
$272$	−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
$275$	−2.54288	−	3.31394i	−0.153341	−	0.199838i
$276$	0.245918	−	0.141981i	0.0148025	−	0.00854624i
$277$	1.55097	+	11.7808i	0.0931889	+	0.707840i	0.972717	+	0.231994i	$0.0745248\pi$
$277$	1.55097	+	11.7808i	0.0931889	+	0.707840i	−0.879528	+	0.475846i	$0.842142\pi$
$278$	−14.8419	−	1.95398i	−0.890160	−	0.117192i
$279$	−0.844139	+	0.349654i	−0.0505373	+	0.0209332i
$280$	4.79722	−	0.941378i	0.286689	−	0.0562581i
$281$	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	$0.584893\pi$
$282$	1.74888	−	13.2840i	0.104144	−	0.791052i
$283$	−11.1813	+	14.5717i	−0.664658	+	0.866199i	−0.997035	−	0.0769475i	$-0.975483\pi$
$283$	−11.1813	+	14.5717i	−0.664658	+	0.866199i	0.332377	+	0.943147i	$0.392149\pi$
$284$	0.924043	+	7.01880i	0.0548319	+	0.416489i
$285$	−4.98381	−	2.87740i	−0.295215	−	0.170443i
$286$	−0.863999	+	2.08588i	−0.0510893	+	0.123341i
$287$	−19.3721	+	16.9008i	−1.14350	+	0.997620i
$288$	0.887611			0.0523030
$289$	−7.81025	−	15.0997i	−0.459426	−	0.888216i
$290$	5.90790	+	10.2328i	0.346924	+	0.600889i
$291$	0.541425	+	0.145074i	0.0317389	+	0.00850441i
$292$	−5.76401	−	7.51180i	−0.337313	−	0.439595i
$293$		−	11.1470i		−	0.651214i	−0.945505	−	0.325607i	$-0.894431\pi$
$293$		−	11.1470i		−	0.651214i	0.945505	−	0.325607i	$-0.105569\pi$
$294$	−8.78446	−	5.13228i	−0.512320	−	0.299320i
$295$	2.89769	+	6.99564i	0.168710	+	0.407302i
$296$	−1.02324	+	7.77231i	−0.0594749	+	0.451756i
$297$	3.85212	−	14.3763i	0.223522	−	0.834197i
$298$	0.152967	−	0.570880i	0.00886113	−	0.0330702i
$299$	0.0218580	−	0.166028i	0.00126408	−	0.00960165i
$300$	−0.882005	−	2.12935i	−0.0509226	−	0.122938i
$301$	8.94682	+	4.44079i	0.515686	+	0.255963i
$302$		−	12.0041i		−	0.690758i
$303$	1.61919	+	2.11017i	0.0930198	+	0.121226i
$304$	−2.06987	−	0.554619i	−0.118715	−	0.0318096i
$305$	9.06799	+	15.7062i	0.519231	+	0.899335i
$306$	3.65874	+	0.0846224i	0.209156	+	0.00483754i
$307$	−28.5445			−1.62912			−0.814559	−	0.580080i	$-0.803021\pi$
$307$	−28.5445			−1.62912			−0.814559	+	0.580080i	$0.803021\pi$
$308$	−1.34200	−	6.83876i	−0.0764675	−	0.389675i
$309$	0.0302221	−	0.0729626i	0.00171928	−	0.00415070i
$310$	−1.64722	−	0.951024i	−0.0935559	−	0.0540145i
$311$	4.45047	+	33.8047i	0.252363	+	1.91689i	0.379849	+	0.925048i	$0.375976\pi$
$311$	4.45047	+	33.8047i	0.252363	+	1.91689i	−0.127486	+	0.991840i	$0.540691\pi$
$312$	−0.758358	+	0.988311i	−0.0429335	+	0.0559521i
$313$	1.14782	−	8.71856i	0.0648786	−	0.492802i	−0.927899	−	0.372832i	$-0.878387\pi$
$313$	1.14782	−	8.71856i	0.0648786	−	0.492802i	0.992778	−	0.119970i	$-0.0382799\pi$
$314$	12.4314	+	12.4314i	0.701546	+	0.701546i
$315$	−1.40540	+	4.10538i	−0.0791854	+	0.231312i
$316$	4.06123	−	1.68222i	0.228462	−	0.0946322i
$317$	5.08667	+	0.669673i	0.285696	+	0.0376126i	0.272012	−	0.962294i	$-0.412311\pi$
$317$	5.08667	+	0.669673i	0.285696	+	0.0376126i	0.0136837	+	0.999906i	$0.495644\pi$
$318$	1.60664	+	12.2036i	0.0900959	+	0.684347i
$319$	14.5875	−	8.42211i	0.816745	−	0.471548i
$320$	1.12484	+	1.46593i	0.0628807	+	0.0819477i
$321$	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
$325$	−1.31289	−	0.351788i	−0.0728261	−	0.0195137i
$326$	0.355917	−	0.0468574i	0.0197124	−	0.00259519i
$327$	−15.7376	−	9.08612i	−0.870293	−	0.502464i
$328$	−8.97716	−	3.71846i	−0.495681	−	0.205318i
$329$	23.9096	+	4.82003i	1.31818	+	0.265737i
$330$	6.53553	−	2.70711i	0.359769	−	0.149021i
$331$	−16.2003	+	4.34085i	−0.890447	+	0.238594i	−0.674909	−	0.737901i	$-0.735817\pi$
$331$	−16.2003	+	4.34085i	−0.890447	+	0.238594i	−0.215538	+	0.976496i	$0.569150\pi$
$332$	−2.23201	+	8.32996i	−0.122497	+	0.457166i
$333$	−5.52041	−	4.23596i	−0.302516	−	0.232129i
$334$	−0.161949	−	0.0213210i	−0.00886145	−	0.00116663i
$335$	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	$-0.162500\pi$
$338$	−3.17451	−	11.8474i	−0.172670	−	0.644415i
$339$	−12.2664	−	21.2459i	−0.666217	−	1.15392i
$340$	4.49686	+	6.14979i	0.243876	+	0.333519i
$341$	−1.35575	+	2.34823i	−0.0734179	+	0.127164i
$342$	1.34495	−	1.34495i	0.0727266	−	0.0727266i
$343$	10.4081	−	15.3190i	0.561983	−	0.827149i
$344$			3.77522i			0.203546i
$345$	−0.416267	+	0.319413i	−0.0224110	+	0.0171966i
$346$	−3.51902	+	4.58607i	−0.189183	+	0.246549i
$347$	22.7915	+	17.4885i	1.22351	+	0.938833i	0.999362	−	0.0357214i	$-0.0113729\pi$
$347$	22.7915	+	17.4885i	1.22351	+	0.938833i	0.224150	+	0.974555i	$0.428040\pi$
$348$	8.97735	−	2.40547i	0.481237	−	0.128947i
$349$	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	$0.461174\pi$
$350$	3.97640	−	1.33838i	0.212548	−	0.0715397i
$351$	−1.85332	−	4.47430i	−0.0989227	−	0.238820i
$352$	2.08978	−	1.60354i	0.111386	−	0.0854691i
$353$	9.79204	−	5.65344i	0.521178	−	0.300902i	−0.216239	−	0.976341i	$-0.569379\pi$
$353$	9.79204	−	5.65344i	0.521178	−	0.300902i	0.737416	+	0.675438i	$0.236046\pi$
$354$	5.90503	−	0.777413i	0.313849	−	0.0413190i
$355$	−3.38560	−	12.6352i	−0.179689	−	0.670609i
$356$	10.0466			0.532466
$357$	1.44320	−	15.7890i	0.0763822	−	0.835641i
$358$	16.5881			0.876707
$359$	−5.48291	−	20.4625i	−0.289377	−	1.07997i	−0.945581	−	0.325386i	$-0.894506\pi$
$359$	−5.48291	−	20.4625i	−0.289377	−	1.07997i	0.656204	−	0.754583i	$-0.272161\pi$
$360$	−1.62606	+	0.214075i	−0.0857009	+	0.0112827i
$361$	12.4777	−	7.20403i	0.656723	−	0.379159i
$362$	2.59831	−	1.99375i	0.136564	−	0.104789i
$363$	2.25897	+	5.45364i	0.118565	+	0.286242i
$364$	−1.70110	−	1.49960i	−0.0891619	−	0.0786004i
$365$	12.3711	+	12.3711i	0.647532	+	0.647532i
$366$	13.7793	−	3.69214i	0.720254	−	0.192991i
$367$	−15.2870	−	11.7302i	−0.797977	−	0.612309i	0.127186	−	0.991879i	$-0.459405\pi$
$367$	−15.2870	−	11.7302i	−0.797977	−	0.612309i	−0.925163	+	0.379570i	$0.876072\pi$
$368$	−0.118938	+	0.155003i	−0.00620006	+	0.00808008i
$369$	6.84247	−	5.25041i	0.356205	−	0.273326i
$370$		−	14.4853i		−	0.753054i
$371$	−22.3627	+	1.40785i	−1.16101	+	0.0730918i
$372$	−1.05791	+	1.05791i	−0.0548500	+	0.0548500i
$373$	7.89470	−	13.6740i	0.408772	−	0.708014i	−0.585980	−	0.810325i	$-0.699290\pi$
$373$	7.89470	−	13.6740i	0.408772	−	0.708014i	0.994752	+	0.102311i	$0.0326238\pi$
$374$	8.76695	−	6.41058i	0.453328	−	0.331483i
$375$	8.84321	+	15.3169i	0.456661	+	0.790961i
$376$	2.38600	+	8.90467i	0.123049	+	0.459224i
$377$	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	$0.795460\pi$
$380$	3.92566	+	0.516823i	0.201382	+	0.0265124i
$381$	−11.4830	−	8.81121i	−0.588292	−	0.451412i
$382$	0.994139	−	3.71018i	0.0508646	−	0.189829i
$383$	−4.38566	+	1.17513i	−0.224097	+	0.0600465i	−0.369120	−	0.929382i	$-0.620341\pi$
$383$	−4.38566	+	1.17513i	−0.224097	+	0.0600465i	0.145023	+	0.989428i	$0.453674\pi$
$384$	1.34277	−	0.556194i	0.0685230	−	0.0283832i
$385$	4.10786	+	12.2046i	0.209356	+	0.622005i
$386$	−24.3333	−	10.0792i	−1.23853	−	0.513018i
$387$	−2.90199	−	1.67547i	−0.147516	−	0.0851687i
$388$	−0.382363	+	0.0503390i	−0.0194115	+	0.00255558i
$389$	2.48127	+	0.664854i	0.125805	+	0.0337094i	0.321172	−	0.947021i	$-0.395923\pi$
$389$	2.48127	+	0.664854i	0.125805	+	0.0337094i	−0.195367	+	0.980730i	$0.562590\pi$
$390$	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
$394$	14.2350	+	18.5514i	0.717147	+	0.934604i
$395$	−7.03426	+	4.06123i	−0.353932	+	0.204343i
$396$	0.305179	+	2.31806i	0.0153358	+	0.116487i
$397$	−11.5521	−	1.52087i	−0.579786	−	0.0763302i	−0.165071	−	0.986282i	$-0.552785\pi$
$397$	−11.5521	−	1.52087i	−0.579786	−	0.0763302i	−0.414715	+	0.909951i	$0.636119\pi$
$398$	−5.53336	+	2.29199i	−0.277362	+	0.114887i
$399$	−5.41711	−	6.20925i	−0.271195	−	0.310851i
$400$	1.12132	+	1.12132i	0.0560660	+	0.0560660i
$401$	1.46727	−	11.1450i	0.0732721	−	0.556557i	−0.914954	−	0.403558i	$-0.867773\pi$
$401$	1.46727	−	11.1450i	0.0732721	−	0.556557i	0.988226	−	0.152999i	$-0.0488932\pi$
$402$	0.548304	−	0.714563i	0.0273469	−	0.0356392i
$403$	0.115163	+	0.874751i	0.00573669	+	0.0435745i
$404$	−1.58487	−	0.915025i	−0.0788502	−	0.0455242i
$405$	−3.92396	+	9.47327i	−0.194983	+	0.470731i
$406$	3.25789	+	16.6021i	0.161686	+	0.823946i
$407$	−20.6498			−1.02357
$408$	5.58794	−	2.16462i	0.276644	−	0.107165i
$409$	11.3481	+	19.6554i	0.561125	+	0.971897i	0.997399	+	0.0720833i	$0.0229647\pi$
$409$	11.3481	+	19.6554i	0.561125	+	0.971897i	−0.436273	+	0.899814i	$0.643702\pi$
$410$	17.3425	+	4.64692i	0.856487	+	0.229495i
$411$	−19.1846	−	25.0019i	−0.946308	−	1.23325i
$412$			0.0543373i			0.00267701i
$413$	0.681221	+	10.8207i	0.0335207	+	0.532454i
$414$	−0.0663644	−	0.160218i	−0.00326163	−	0.00787428i
$415$	2.07990	−	15.7984i	0.102098	−	0.775513i
$416$	0.221838	−	0.827911i	0.0108765	−	0.0405917i
$417$	5.63125	−	21.0161i	0.275764	−	1.02916i
$418$	0.736766	−	5.59629i	0.0360364	−	0.273724i
$419$	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	$0.867586\pi$
$420$	0.446430	+	7.09124i	0.0217836	+	0.346017i
$421$			37.2285i			1.81441i	0.420692	+	0.907203i	$0.361787\pi$
$421$			37.2285i			1.81441i	−0.420692	+	0.907203i	$0.638213\pi$
$422$	−16.3133	−	21.2600i	−0.794121	−	1.03492i
$423$	−7.90389	−	2.11784i	−0.384300	−	0.102973i
$424$	−4.23452	−	7.33440i	−0.205646	−	0.356190i
$425$	4.51518	+	4.72899i	0.219019	+	0.229390i
$426$	−10.2892			−0.498513
$427$	5.00051	+	25.4824i	0.241992	+	1.23318i
$428$	−6.98519	+	16.8637i	−0.337642	+	0.815140i
$429$	−2.84178	−	1.64070i	−0.137203	−	0.0792140i
$430$	−0.910512	−	6.91602i	−0.0439088	−	0.333520i
$431$	6.78376	−	8.84077i	0.326762	−	0.425845i	−0.600866	−	0.799350i	$-0.705177\pi$
$431$	6.78376	−	8.84077i	0.326762	−	0.425845i	0.927628	+	0.373505i	$0.121844\pi$
$432$	−0.737509	+	5.60194i	−0.0354834	+	0.269523i
$433$	−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	$0.850137\pi$
$434$	−1.79043	−	2.05225i	−0.0859436	−	0.0985110i
$435$	−15.8659	+	6.57188i	−0.760713	+	0.315097i
$436$	12.3962	+	1.63200i	0.593673	+	0.0781585i
$437$	0.0546473	+	0.415088i	0.00261414	+	0.0198563i
$438$	11.9178	−	6.88073i	0.569453	−	0.328774i
$439$	−7.71477	−	10.0541i	−0.368206	−	0.479855i	0.572101	−	0.820183i	$-0.306129\pi$
$439$	−7.71477	−	10.0541i	−0.368206	−	0.479855i	−0.940307	+	0.340328i	$0.889462\pi$
$440$	−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	0.473476	+	0.880807i	$0.342999\pi$
$443$	−11.0723	+	19.1779i	−0.526063	+	0.911168i	−0.999539	+	0.0303610i	$0.990334\pi$
$444$	−11.0056	−	2.94893i	−0.522301	−	0.139950i
$445$	−18.4048	+	2.42304i	−0.872471	+	0.114863i
$446$	−1.81268	−	1.04655i	−0.0858330	−	0.0495557i
$447$	0.793603	+	0.328721i	0.0375361	+	0.0155480i
$448$	0.843988	+	2.50753i	0.0398747	+	0.118469i
$449$	−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	$0.448118\pi$
$450$	−1.35960	+	0.364304i	−0.0640922	+	0.0171734i
$451$	6.62450	−	24.7230i	0.311936	−	1.16416i
$452$	13.3914	+	10.2756i	0.629877	+	0.483322i
$453$	17.2976	+	2.27727i	0.812711	+	0.106995i
$454$	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
$457$	−8.34362	−	31.1388i	−0.390298	−	1.45661i	−0.829643	−	0.558294i	$-0.811456\pi$
$457$	−8.34362	−	31.1388i	−0.390298	−	1.45661i	0.439345	−	0.898318i	$-0.355211\pi$
$458$	0.987369	+	1.71017i	0.0461367	+	0.0799111i
$459$	−3.57409	+	23.0209i	−0.166824	+	1.07452i
$460$	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	$0.150277\pi$
$462$	10.1091	−	0.636417i	0.470316	−	0.0296088i
$463$			36.9325i			1.71640i	0.513317	+	0.858199i	$0.328417\pi$
$463$			36.9325i			1.71640i	−0.513317	+	0.858199i	$0.671583\pi$
$464$	−5.07323	+	3.89282i	−0.235519	+	0.180720i
$465$	1.68289	−	2.19318i	0.0780421	−	0.101706i
$466$	−10.4487	−	8.01755i	−0.484026	−	0.371406i
$467$	−33.9411	+	9.09450i	−1.57061	+	0.420843i	−0.936003	−	0.351993i	$-0.885504\pi$
$467$	−33.9411	+	9.09450i	−1.57061	+	0.420843i	−0.634606	+	0.772836i	$0.718838\pi$
$468$	0.537957	+	0.537957i	0.0248671	+	0.0248671i
$469$	1.22992	+	1.08423i	0.0567925	+	0.0500652i
$470$	−6.51867	−	15.7375i	−0.300684	−	0.725915i
$471$	−20.2717	+	15.5550i	−0.934069	+	0.716736i
$472$	−3.54893	+	2.04898i	−0.163353	+	0.0943118i
$473$	−9.85927	+	1.29800i	−0.453330	+	0.0596820i
$474$	1.65358	+	6.17125i	0.0759515	+	0.283455i
$475$	3.39816			0.155918
$476$	3.23986	+	10.4165i	0.148499	+	0.477439i
$477$	7.51722			0.344190
$478$	4.05994	+	15.1519i	0.185698	+	0.693033i
$479$	29.5157	−	3.88582i	1.34861	−	0.177548i	0.578616	−	0.815600i	$-0.303593\pi$
$479$	29.5157	−	3.88582i	1.34861	−	0.177548i	0.769993	+	0.638053i	$0.220260\pi$
$480$	−2.32575	+	1.34277i	−0.106155	+	0.0612889i
$481$	−5.33075	+	4.09043i	−0.243061	+	0.186507i
$482$	−1.17580	−	2.83863i	−0.0535563	−	0.129296i
$483$	−0.712041	+	0.239660i	−0.0323990	+	0.0109049i
$484$	−2.87190	−	2.87190i	−0.130541	−	0.130541i
$485$	0.688330	−	0.184437i	0.0312554	−	0.00837487i
$486$	−7.04928	−	5.40911i	−0.319762	−	0.245362i
$487$	9.38481	−	12.2305i	0.425266	−	0.554218i	−0.530751	−	0.847528i	$-0.678090\pi$
$487$	9.38481	−	12.2305i	0.425266	−	0.554218i	0.956017	+	0.293310i	$0.0947568\pi$
$488$	−7.78686	+	5.97507i	−0.352494	+	0.270479i
$489$			0.521755i			0.0235946i
$490$	−12.9341	−	0.0666808i	−0.584305	−	0.00301233i
$491$	−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
$493$	−21.2830	+	15.5626i	−0.958538	+	0.700903i
$494$	−0.918351	−	1.59063i	−0.0413185	−	0.0715658i
$495$	−1.11814	−	4.17297i	−0.0502568	−	0.187561i
$496$	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
$499$	2.36114	+	0.310850i	0.105699	+	0.0139156i	0.183190	−	0.983077i	$-0.441358\pi$
$499$	2.36114	+	0.310850i	0.105699	+	0.0139156i	−0.0774910	+	0.996993i	$0.524691\pi$
$500$	−9.65427	−	7.40799i	−0.431752	−	0.331295i
$501$	0.0614459	−	0.229319i	0.00274520	−	0.0102452i
$502$	−19.5023	+	5.22564i	−0.870432	+	0.233232i
$503$	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	$0.130143\pi$
$504$	−2.30209	−	0.464085i	−0.102543	−	0.0206720i
$505$	3.12409	+	1.29404i	0.139020	+	0.0575840i
$506$	−0.445694	−	0.257322i	−0.0198135	−	0.0114393i
$507$	17.6740	−	2.32683i	0.784931	−	0.103338i
$508$	9.61935	+	2.57750i	0.426789	+	0.114358i
$509$	−0.274887	+	0.476117i	−0.0121841	+	0.0211035i	−0.872053	−	0.489411i	$-0.837212\pi$
$509$	−0.274887	+	0.476117i	−0.0121841	+	0.0211035i	0.859869	+	0.510515i	$0.170545\pi$
$510$	−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
$513$	7.37081	+	9.60583i	0.325429	+	0.424108i
$514$	18.5971	−	10.7370i	0.820282	−	0.473590i
$515$	−0.0131051	−	0.0995433i	−0.000577481	−	0.00438640i
$516$	−5.43999	−	0.716188i	−0.239482	−	0.0315284i
$517$	−22.4348	+	9.29282i	−0.986683	+	0.408698i
$518$	6.71759	−	19.6231i	0.295154	−	0.862188i
$519$	−5.94082	−	5.94082i	−0.260773	−	0.260773i
$520$	−0.206720	+	1.57020i	−0.00906528	+	0.0688577i
$521$	−10.8354	+	14.1210i	−0.474708	+	0.618651i	−0.967920	−	0.251257i	$-0.919156\pi$
$521$	−10.8354	+	14.1210i	−0.474708	+	0.618651i	0.493212	+	0.869909i	$0.335823\pi$
$522$	−0.740863	−	5.62742i	−0.0324267	−	0.246305i
$523$	30.8845	+	17.8312i	1.35049	+	0.779704i	0.988318	−	0.152409i	$-0.0487030\pi$
$523$	30.8845	+	17.8312i	1.35049	+	0.779704i	0.362169	+	0.932112i	$0.382036\pi$
$524$	−5.51767	+	13.3208i	−0.241041	+	0.581923i
$525$	1.17422	+	5.98378i	0.0512472	+	0.261154i
$526$	14.4667			0.630777
$527$	1.71444	−	3.88257i	0.0746820	−	0.169127i
$528$	1.91421	+	3.31552i	0.0833055	+	0.144289i
$529$	−22.1794	−	5.94296i	−0.964323	−	0.258389i
$530$	9.52635	+	12.4150i	0.413798	+	0.539273i
$531$		−	3.63739i		−	0.157849i
$532$	5.07837	+	2.52067i	0.220175	+	0.109285i
$533$	−3.18716	−	7.69448i	−0.138051	−	0.333285i
$534$	−1.90591	+	14.4768i	−0.0824767	+	0.626472i
$535$	8.72931	−	32.5782i	0.377401	−	1.40848i
$536$	−0.160392	+	0.598592i	−0.00692789	+	0.0258552i
$537$	−3.14688	+	23.9030i	−0.135798	+	1.03149i
$538$	4.86329	+	11.7410i	0.209671	+	0.506192i
$539$	−0.0950580	+	18.4385i	−0.00409444	+	0.794203i
$540$		−	10.4404i		−	0.449281i
$541$	7.68295	+	10.0126i	0.330316	+	0.430476i	0.928756	−	0.370692i	$-0.120879\pi$
$541$	7.68295	+	10.0126i	0.330316	+	0.430476i	−0.598440	+	0.801167i	$0.704213\pi$
$542$	−18.8377	−	5.04754i	−0.809148	−	0.216811i
$543$	2.38002	+	4.12231i	0.102136	+	0.176905i
$544$	−2.98211	+	2.84728i	−0.127857	+	0.122076i
$545$	−23.1029			−0.989621
$546$	2.48359	−	2.16675i	0.106288	−	0.0927285i
$547$	−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
$549$	−1.13715	−	8.63748i	−0.0485322	−	0.368639i
$550$	−2.54288	+	3.31394i	−0.108429	+	0.141307i
$551$	−1.78860	+	13.5858i	−0.0761970	+	0.578774i
$552$	−0.200791	−	0.200791i	−0.00854624	−	0.00854624i
$553$	−11.4127	+	2.23955i	−0.485316	+	0.0952354i
$554$	10.9780	−	4.54722i	0.466409	−	0.193193i
$555$	20.8729	+	2.74797i	0.886005	+	0.116645i
$556$	1.95398	+	14.8419i	0.0828671	+	0.629438i
$557$	5.17526	−	2.98794i	0.219283	−	0.126603i	−0.386335	−	0.922358i	$-0.626259\pi$
$557$	5.17526	−	2.98794i	0.219283	−	0.126603i	0.605618	+	0.795755i	$0.292926\pi$
$558$	0.556219	+	0.724879i	0.0235466	+	0.0306866i
$559$	−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
$563$	11.5354	+	3.09091i	0.486161	+	0.130266i	0.493570	−	0.869706i	$-0.335692\pi$
$563$	11.5354	+	3.09091i	0.486161	+	0.130266i	−0.00740911	+	0.999973i	$0.502358\pi$
$564$	−13.2840	+	1.74888i	−0.559358	+	0.0736409i
$565$	−27.0106	−	15.5946i	−1.13635	−	0.656069i
$566$	16.9691	+	7.02884i	0.713266	+	0.295444i
$567$	−9.70900	+	11.0136i	−0.407740	+	0.462528i
$568$	6.54048	−	2.70916i	0.274433	−	0.113674i
$569$	−8.29040	+	2.22140i	−0.347551	+	0.0931261i	−0.428372	−	0.903603i	$-0.640913\pi$
$569$	−8.29040	+	2.22140i	−0.347551	+	0.0931261i	0.0808204	+	0.996729i	$0.474246\pi$
$570$	−1.48945	+	5.55872i	−0.0623863	+	0.232829i
$571$	−9.09385	−	6.97796i	−0.380566	−	0.292018i	0.400709	−	0.916205i	$-0.368764\pi$
$571$	−9.09385	−	6.97796i	−0.380566	−	0.292018i	−0.781275	+	0.624187i	$0.785430\pi$
$572$	2.23842	+	0.294694i	0.0935931	+	0.0123218i
$573$	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
$576$	−0.229731	−	0.857367i	−0.00957211	−	0.0357236i
$577$	0.550680	+	0.953805i	0.0229251	+	0.0397074i	0.877260	−	0.480015i	$-0.159369\pi$
$577$	0.550680	+	0.953805i	0.0229251	+	0.0397074i	−0.854335	+	0.519722i	$0.826035\pi$
$578$	−12.5637	+	11.4522i	−0.522582	+	0.476349i
$579$	19.1401	−	33.1516i	0.795434	−	1.37773i
$580$	8.35503	−	8.35503i	0.346924	−	0.346924i
$581$	10.1442	−	20.4374i	0.420851	−	0.847885i
$582$		−	0.560524i		−	0.0232345i
$583$	17.6984	−	13.5805i	0.732993	−	0.562446i
$584$	−5.76401	+	7.51180i	−0.238516	+	0.310841i
$585$	−1.11526	−	0.855767i	−0.0461102	−	0.0353816i
$586$	−10.7672	+	2.88505i	−0.444787	+	0.119180i
$587$	−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	$0.802573\pi$
$588$	−2.68381	+	9.81347i	−0.110679	+	0.404701i
$589$	−0.844139	−	2.03793i	−0.0347822	−	0.0839715i
$590$	6.00729	−	4.60956i	0.247316	−	0.189773i
$591$	−29.4325	+	16.9928i	−1.21069	+	0.698992i
$592$	7.77231	−	1.02324i	0.319440	−	0.0420551i
$593$	1.00005	+	3.73224i	0.0410671	+	0.153265i	0.983415	−	0.181371i	$-0.0580535\pi$
$593$	1.00005	+	3.73224i	0.0410671	+	0.153265i	−0.942348	+	0.334636i	$0.891387\pi$
$594$	−14.8834			−0.610675
$595$	−8.44753	−	18.3011i	−0.346315	−	0.750272i
$596$	−0.591018			−0.0242091
$597$	−2.25297	−	8.40822i	−0.0922081	−	0.344125i
$598$	−0.166028	+	0.0218580i	−0.00678939	+	0.000893840i
$599$	12.6157	−	7.28369i	0.515464	−	0.297603i	−0.219613	−	0.975587i	$-0.570479\pi$
$599$	12.6157	−	7.28369i	0.515464	−	0.297603i	0.735077	+	0.677984i	$0.237146\pi$
$600$	−1.82851	+	1.40307i	−0.0746488	+	0.0572800i
$601$	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	$0.795108\pi$
$602$	1.97387	−	9.79132i	0.0804488	−	0.399065i
$603$	−0.388951	−	0.388951i	−0.0158393	−	0.0158393i
$604$	−11.5951	+	3.10689i	−0.471797	+	0.126418i
$605$	5.95383	+	4.56853i	0.242057	+	0.185737i
$606$	1.61919	−	2.11017i	0.0657750	−	0.0857196i
$607$	23.1393	−	17.7554i	0.939195	−	0.720670i	−0.0210642	−	0.999778i	$-0.506705\pi$
$607$	23.1393	−	17.7554i	0.939195	−	0.720670i	0.960260	+	0.279108i	$0.0900388\pi$
$608$			2.14288i			0.0869054i
$609$	−24.5411	+	1.54499i	−0.994457	+	0.0626062i
$610$	12.8241	−	12.8241i	0.519231	−	0.519231i
$611$	−3.95079	+	6.84297i	−0.159832	+	0.276837i
$612$	−0.865212	−	3.55597i	−0.0349741	−	0.143742i
$613$	−19.2349	−	33.3159i	−0.776891	−	1.34561i	−0.933725	−	0.357990i	$-0.883462\pi$
$613$	−19.2349	−	33.3159i	−0.776891	−	1.34561i	0.156834	−	0.987625i	$-0.449871\pi$
$614$	7.38785	+	27.5718i	0.298149	+	1.11271i
$615$	−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	$0.686551\pi$
$618$	−0.0782985	−	0.0103082i	−0.00314963	−	0.000414657i
$619$	10.7068	+	8.21561i	0.430342	+	0.330213i	0.801115	−	0.598510i	$-0.204240\pi$
$619$	10.7068	+	8.21561i	0.430342	+	0.330213i	−0.370773	+	0.928724i	$0.620907\pi$
$620$	−0.492286	+	1.83724i	−0.0197707	+	0.0737852i
$621$	1.06632	−	0.285719i	0.0427898	−	0.0114655i
$622$	31.5010	−	13.0481i	1.26307	−	0.523182i
$623$	−26.0565	−	5.25282i	−1.04393	−	0.210450i
$624$	1.15091	+	0.476724i	0.0460734	+	0.0190842i
$625$	12.6062	+	7.27817i	0.504247	+	0.291127i
$626$	−8.71856	+	1.14782i	−0.348464	+	0.0458761i
$627$	7.92433	+	2.12332i	0.316467	+	0.0847972i
$628$	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	$-0.0193385\pi$
$632$	−2.67602	−	3.48746i	−0.106446	−	0.138724i
$633$	33.7298	−	19.4739i	1.34064	−	0.774018i
$634$	−0.669673	−	5.08667i	−0.0265961	−	0.202018i
$635$	−18.2438	−	2.40184i	−0.723984	−	0.0953143i
$636$	11.3720	−	4.71043i	0.450929	−	0.186781i
$637$	3.62787	+	4.77874i	0.143741	+	0.189341i
$638$	−11.9107	−	11.9107i	−0.471548	−	0.471548i
$639$	−0.820191	+	6.22997i	−0.0324462	+	0.246454i
$640$	1.12484	−	1.46593i	0.0444634	−	0.0579458i
$641$	1.38595	+	10.5274i	0.0547419	+	0.415806i	0.996772	+	0.0802789i	$0.0255811\pi$
$641$	1.38595	+	10.5274i	0.0547419	+	0.415806i	−0.942031	+	0.335527i	$0.891086\pi$
$642$	−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	$0.0683110\pi$
$644$	0.389517	−	0.339825i	0.0153491	−	0.0133910i
$645$	10.1385			0.399204
$646$	−0.204297	+	8.83297i	−0.00803794	+	0.347529i
$647$	19.8301	+	34.3467i	0.779602	+	1.35031i	0.932171	+	0.362017i	$0.117912\pi$
$647$	19.8301	+	34.3467i	0.779602	+	1.35031i	−0.152570	+	0.988293i	$0.548755\pi$
$648$	−5.36022	−	1.43627i	−0.210569	−	0.0564219i
$649$	−6.57124	−	8.56381i	−0.257944	−	0.336159i
$650$			1.35920i			0.0533124i
$651$	3.29689	−	2.19064i	0.129215	−	0.0858579i
$652$	−0.137379	−	0.331662i	−0.00538017	−	0.0129889i
$653$	−1.18114	+	8.97162i	−0.0462215	+	0.351087i	0.952670	+	0.304007i	$0.0983247\pi$
$653$	−1.18114	+	8.97162i	−0.0462215	+	0.351087i	−0.998891	+	0.0470795i	$0.985009\pi$
$654$	−4.70332	+	17.5530i	−0.183914	+	0.686378i
$655$	6.89537	−	25.7339i	0.269424	−	1.00551i
$656$	−1.26830	+	9.63368i	−0.0495187	+	0.376132i
$657$	−3.21618	−	7.76454i	−0.125475	−	0.302924i
$658$	−1.53248	−	24.3425i	−0.0597424	−	0.948968i
$659$			17.1075i			0.666413i	0.942854	+	0.333207i	$0.108131\pi$
$659$			17.1075i			0.666413i	−0.942854	+	0.333207i	$0.891869\pi$
$660$	−4.30638	−	5.61219i	−0.167626	−	0.218454i
$661$	−8.24130	−	2.20825i	−0.320549	−	0.0858909i	0.0949566	−	0.995481i	$-0.469729\pi$
$661$	−8.24130	−	2.20825i	−0.320549	−	0.0858909i	−0.415506	+	0.909591i	$0.636395\pi$
$662$	8.38587	+	14.5248i	0.325926	+	0.564521i
$663$	4.69862	+	2.07478i	0.182479	+	0.0805778i
$664$	8.62381			0.334669
$665$	−9.91127	−	3.39294i	−0.384342	−	0.131573i
$666$	−2.66283	+	6.42865i	−0.103183	+	0.249105i
$667$	1.08198	+	0.624684i	0.0418946	+	0.0241879i
$668$	0.0213210	+	0.161949i	0.000824934	+	0.00626599i
$669$	1.85193	−	2.41349i	0.0715999	−	0.0933108i
$670$	0.149462	−	1.13528i	0.00577421	−	0.0438595i
$671$	−18.2816	−	18.2816i	−0.705753	−	0.705753i
$672$	−3.77338	+	0.740467i	−0.145561	+	0.0285641i
$673$	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	$0.0381985\pi$
$674$	−28.5864	−	3.76347i	−1.10111	−	0.144963i
$675$	−1.16953	−	8.88348i	−0.0450153	−	0.341925i
$676$	−10.6221	+	6.13268i	−0.408543	+	0.235872i
$677$	25.2807	+	32.9464i	0.971616	+	1.26623i	0.963900	+	0.266265i	$0.0857895\pi$
$677$	25.2807	+	32.9464i	0.971616	+	1.26623i	0.00771610	+	0.999970i	$0.497544\pi$
$678$	−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
$682$	2.61911	+	0.701788i	0.100291	+	0.0268728i
$683$	−18.9507	+	2.49491i	−0.725129	+	0.0954650i	−0.484050	−	0.875040i	$-0.660835\pi$
$683$	−18.9507	+	2.49491i	−0.725129	+	0.0954650i	−0.241079	+	0.970505i	$0.577501\pi$
$684$	−1.64722	−	0.951024i	−0.0629831	−	0.0363633i
$685$	−37.0152	−	15.3322i	−1.41428	−	0.585813i
$686$	−17.4908	−	6.08858i	−0.667803	−	0.232463i
$687$	−2.65162	+	1.09834i	−0.101166	+	0.0419042i
$688$	3.64658	−	0.977099i	0.139025	−	0.0372516i
$689$	1.87876	−	7.01161i	0.0715749	−	0.267121i
$690$	0.416267	+	0.319413i	0.0158470	+	0.0121598i
$691$	47.1800	+	6.21137i	1.79481	+	0.236292i	0.952892	−	0.303309i	$-0.0980914\pi$
$691$	47.1800	+	6.21137i	1.79481	+	0.236292i	0.841921	+	0.539601i	$0.181425\pi$
$692$	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
$695$	−7.15918	−	26.7184i	−0.271563	−	1.01349i
$696$	−4.64702	−	8.04888i	−0.176145	−	0.305092i
$697$	−6.14638	+	39.5891i	−0.232811	+	1.49955i
$698$	14.7190	−	25.4940i	0.557122	−	0.964964i
$699$	13.5353	−	13.5353i	0.511951	−	0.511951i
$700$	−2.32195	−	3.49451i	−0.0877614	−	0.132080i
$701$			3.45847i			0.130625i	0.997865	+	0.0653123i	$0.0208044\pi$
$701$			3.45847i			0.130625i	−0.997865	+	0.0653123i	$0.979196\pi$
$702$	−3.84217	+	2.94820i	−0.145013	+	0.111273i
$703$	10.2265	−	13.3274i	0.385700	−	0.502654i
$704$	−2.08978	−	1.60354i	−0.0787615	−	0.0604358i
$705$	23.9139	−	6.40771i	0.900649	−	0.241328i
$706$	−7.99517	−	7.99517i	−0.300902	−	0.300902i
$707$	3.63206	+	3.20183i	0.136598	+	0.120417i
$708$	−2.27926	−	5.50262i	−0.0856598	−	0.206801i
$709$	−36.1679	+	27.7526i	−1.35831	+	1.04227i	−0.364500	+	0.931204i	$0.618760\pi$
$709$	−36.1679	+	27.7526i	−1.35831	+	1.04227i	−0.993813	+	0.111066i	$0.964573\pi$
$710$	−11.3284	+	6.54048i	−0.425149	+	0.245460i
$711$	3.86842	−	0.509288i	0.145077	−	0.0190998i
$712$	−2.60024	−	9.70422i	−0.0974481	−	0.363681i
$713$	−0.201117			−0.00753189
$714$	−15.6245	+	2.69246i	−0.584732	+	0.100763i
$715$	−4.17176			−0.156015
$716$	−4.29331	−	16.0229i	−0.160449	−	0.598802i
$717$	−22.6037	+	2.97583i	−0.844150	+	0.111134i
$718$	−18.3462	+	10.5922i	−0.684673	+	0.395296i
$719$	22.4239	−	17.2064i	0.836270	−	0.641692i	−0.0992125	−	0.995066i	$-0.531632\pi$
$719$	22.4239	−	17.2064i	0.836270	−	0.641692i	0.935482	+	0.353374i	$0.114966\pi$
$720$	0.627636	+	1.51525i	0.0233906	+	0.0564699i
$721$	0.0284101	−	0.140928i	0.00105805	−	0.00524843i
$722$	−10.1880	−	10.1880i	−0.379159	−	0.379159i
$723$	4.31345	−	1.15579i	0.160419	−	0.0429841i
$724$	−2.59831	−	1.99375i	−0.0965653	−	0.0740971i
$725$	6.17319	−	8.04505i	0.229266	−	0.298786i
$726$	4.68315	−	3.59350i	0.173808	−	0.133367i
$727$			30.8557i			1.14438i	0.820123	+	0.572188i	$0.193905\pi$
$727$			30.8557i			1.14438i	−0.820123	+	0.572188i	$0.806095\pi$
$728$	−1.00823	+	2.03126i	−0.0373673	+	0.0752836i
$729$	20.9035	−	20.9035i	0.774205	−	0.774205i
$730$	8.74768	−	15.1514i	0.323766	−	0.560779i
$731$	15.1244	−	3.67995i	0.559396	−	0.136108i
$732$	−7.13268	−	12.3542i	−0.263631	−	0.456623i
$733$	12.6297	+	47.1347i	0.466488	+	1.74096i	0.651907	+	0.758299i	$0.273969\pi$
$733$	12.6297	+	47.1347i	0.466488	+	1.74096i	−0.185419	+	0.982660i	$0.559364\pi$
$734$	−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
$737$	−1.61841	−	0.213068i	−0.0596150	−	0.00784846i
$738$	−6.84247	−	5.25041i	−0.251875	−	0.193270i
$739$	−2.69390	+	10.0538i	−0.0990968	+	0.369834i	−0.997609	−	0.0691149i	$-0.977982\pi$
$739$	−2.69390	+	10.0538i	−0.0990968	+	0.369834i	0.898512	+	0.438949i	$0.144649\pi$
$740$	−13.9917	+	3.74907i	−0.514345	+	0.137818i
$741$	2.46627	−	1.02156i	0.0906007	−	0.0375280i
$742$	7.14777	+	21.2363i	0.262403	+	0.779610i
$743$	−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
$745$	1.08272	−	0.142542i	0.0396677	−	0.00522235i
$746$	−15.2514	−	4.08660i	−0.558393	−	0.149621i
$747$	−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
$751$	−7.53789	−	9.82357i	−0.275062	−	0.358467i	0.635311	−	0.772256i	$-0.280872\pi$
$751$	−7.53789	−	9.82357i	−0.275062	−	0.358467i	−0.910373	+	0.413789i	$0.864205\pi$
$752$	7.98371	−	4.60940i	0.291136	−	0.168087i
$753$	−3.83025	−	29.0937i	−0.139582	−	1.06023i
$754$	−5.43408	−	0.715411i	−0.197898	−	0.0260537i
$755$	20.4923	−	8.48818i	0.745790	−	0.308916i
$756$	4.84175	−	14.1434i	0.176093	−	0.514392i
$757$	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	$0.712063\pi$
$758$	−2.59334	+	19.6983i	−0.0941942	+	0.715476i
$759$	0.455345	−	0.593417i	0.0165280	−	0.0215397i
$760$	−0.516823	−	3.92566i	−0.0187471	−	0.142399i
$761$	−6.59292	−	3.80643i	−0.238993	−	0.137983i	0.375721	−	0.926733i	$-0.377395\pi$
$761$	−6.59292	−	3.80643i	−0.238993	−	0.137983i	−0.614714	+	0.788750i	$0.710729\pi$
$762$	−5.53896	+	13.3722i	−0.200655	+	0.484425i
$763$	−31.2973	−	10.7141i	−1.13304	−	0.387875i
$764$	−3.84106			−0.138965
$765$	2.44266	+	6.30569i	0.0883145	+	0.227983i
$766$	2.27018	+	3.93207i	0.0820251	+	0.142072i
$767$	−3.39274	−	0.909082i	−0.122505	−	0.0328251i
$768$	−0.884777	−	1.15306i	−0.0319267	−	0.0416076i
$769$		−	48.8155i		−	1.76033i	−0.474667	−	0.880166i	$-0.657431\pi$
$769$		−	48.8155i		−	1.76033i	0.474667	−	0.880166i	$-0.342569\pi$
$770$	10.7256	−	7.12667i	0.386522	−	0.256827i
$771$	11.9438	+	28.8348i	0.430144	+	1.03846i
$772$	−3.43783	+	26.1129i	−0.123730	+	0.939823i
$773$	0.332239	−	1.23993i	0.0119498	−	0.0445973i	−0.959693	−	0.281049i	$-0.909318\pi$
$773$	0.332239	−	1.23993i	0.0119498	−	0.0445973i	0.971643	+	0.236451i	$0.0759844\pi$
$774$	−0.867285	+	3.23675i	−0.0311739	+	0.116343i
$775$	−0.213068	+	1.61841i	−0.00765363	+	0.0581351i
$776$	0.147587	+	0.356306i	0.00529805	+	0.0127906i
$777$	27.0019	+	13.4025i	0.968688	+	0.480812i
$778$		−	2.56880i		−	0.0920959i
$779$	12.6756	+	16.5192i	0.454151	+	0.591862i
$780$	−2.22339	−	0.595756i	−0.0796102	−	0.0213315i
$781$	9.32391	+	16.1495i	0.333636	+	0.577874i
$782$	0.736912	+	0.325400i	0.0263519	+	0.0116363i
$783$	36.1316			1.29124
$784$	−0.877893	−	6.94473i	−0.0313533	−	0.248026i
$785$	−12.4314	+	30.0121i	−0.443696	+	1.07118i
$786$	−18.1482	−	10.4779i	−0.647325	−	0.373733i
$787$	−4.10519	−	31.1820i	−0.146334	−	1.11152i	−0.894199	−	0.447669i	$-0.852254\pi$
$787$	−4.10519	−	31.1820i	−0.146334	−	1.11152i	0.747865	−	0.663851i	$-0.231079\pi$
$788$	14.2350	−	18.5514i	0.507100	−	0.660865i
$789$	−2.74444	+	20.8461i	−0.0977045	+	0.742140i
$790$	5.74345	+	5.74345i	0.204343	+	0.204343i
$791$	−29.3590	−	33.6521i	−1.04389	−	1.19653i
$792$	2.16009	−	0.894738i	0.0767554	−	0.0317931i
$793$	−8.34073	−	1.09808i	−0.296188	−	0.0389939i
$794$	1.52087	+	11.5521i	0.0539736	+	0.409970i
$795$	−19.6969	+	11.3720i	−0.698576	+	0.403323i
$796$	3.64603	+	4.75160i	0.129230	+	0.168416i
$797$	−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
$801$	8.61358	+	2.30800i	0.304346	+	0.0815492i
$802$	−11.1450	+	1.46727i	−0.393545	+	0.0518112i
$803$	−21.5994	−	12.4704i	−0.762226	−	0.440072i
$804$	−0.832127	−	0.344678i	−0.0293468	−	0.0121559i
$805$	−0.631617	+	0.716487i	−0.0222616	+	0.0252528i
$806$	0.815138	−	0.337641i	0.0287120	−	0.0118929i
$807$	−17.8411	+	4.78051i	−0.628036	+	0.168282i
$808$	−0.473652	+	1.76769i	−0.0166630	+	0.0621872i
$809$	−29.0609	−	22.2992i	−1.02173	−	0.783999i	−0.0451095	−	0.998982i	$-0.514364\pi$
$809$	−29.0609	−	22.2992i	−1.02173	−	0.783999i	−0.976618	+	0.214983i	$0.931030\pi$
$810$	10.1661	+	1.33839i	0.357199	+	0.0470262i
$811$	−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
$814$	5.34455	+	19.9461i	0.187326	+	0.699112i
$815$	0.331662	+	0.574455i	0.0116176	+	0.0201223i
$816$	−3.53713	−	4.83729i	−0.123824	−	0.169339i
$817$	4.04493	−	7.00603i	0.141514	−	0.245110i
$818$	16.0486	−	16.0486i	0.561125	−	0.561125i
$819$	−1.11396	−	1.67650i	−0.0389250	−	0.0585817i
$820$		−	17.9543i		−	0.626992i
$821$	−12.6667	+	9.71947i	−0.442069	+	0.339212i	−0.805692	−	0.592335i	$-0.798206\pi$
$821$	−12.6667	+	9.71947i	−0.442069	+	0.339212i	0.363623	+	0.931546i	$0.381540\pi$
$822$	−19.1846	+	25.0019i	−0.669141	+	0.872041i
$823$	4.18268	+	3.20948i	0.145799	+	0.111876i	0.679085	−	0.734059i	$-0.262377\pi$
$823$	4.18268	+	3.20948i	0.145799	+	0.111876i	−0.533286	+	0.845935i	$0.679043\pi$
$824$	0.0524858	−	0.0140635i	0.00182843	−	0.000489926i
$825$	−4.29289	−	4.29289i	−0.149459	−	0.149459i
$826$	10.2757	−	3.45862i	0.357538	−	0.120341i
$827$	−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	$-0.250846\pi$
$828$	−0.137582	+	0.105571i	−0.00478131	+	0.00366883i
$829$	32.3054	−	18.6515i	1.12201	−	0.647793i	0.180098	−	0.983649i	$-0.442359\pi$
$829$	32.3054	−	18.6515i	1.12201	−	0.647793i	0.941914	+	0.335855i	$0.109025\pi$
$830$	−15.7984	+	2.07990i	−0.548370	+	0.0721943i
$831$	4.46981	+	16.6816i	0.155056	+	0.578677i
$832$	−0.857117			−0.0297152
$833$	−2.95658	−	28.7099i	−0.102440	−	0.994739i
$834$	−21.7575			−0.753400
$835$	−0.0781180	−	0.291540i	−0.00270339	−	0.0100892i
$836$	−5.59629	+	0.736766i	−0.193552	+	0.0254816i
$837$	−5.03705	+	2.90814i	−0.174106	+	0.100520i
$838$	0.756410	−	0.580414i	0.0261298	−	0.0200501i
$839$	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	$0.480745\pi$
$840$	6.73407	−	2.26657i	0.232347	−	0.0782040i
$841$	8.40871	+	8.40871i	0.289955	+	0.289955i
$842$	35.9600	−	9.63545i	1.23926	−	0.332059i
$843$	19.1646	+	14.7055i	0.660064	+	0.506485i
$844$	−16.3133	+	21.2600i	−0.561529	+	0.731798i
$845$	17.9801	−	13.7966i	0.618534	−	0.474618i
$846$			8.18271i			0.281327i
$847$	5.94692	+	8.95005i	0.204339	+	0.307527i
$848$	−5.98852	+	5.98852i	−0.205646	+	0.205646i
$849$	−13.3475	+	23.1186i	−0.458086	+	0.793429i
$850$	3.39924	−	5.58528i	0.116593	−	0.191574i
$851$	−0.765816	−	1.32643i	−0.0262518	−	0.0454695i
$852$	2.66304	+	9.93860i	0.0912342	+	0.340491i
$853$	−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
$856$	18.0970	+	2.38252i	0.618544	+	0.0814328i
$857$	46.1748	+	35.4312i	1.57730	+	1.21031i	0.854838	+	0.518894i	$0.173656\pi$
$857$	46.1748	+	35.4312i	1.57730	+	1.21031i	0.722462	+	0.691411i	$0.243010\pi$
$858$	−0.849291	+	3.16960i	−0.0289943	+	0.108208i
$859$	−14.2024	+	3.80552i	−0.484580	+	0.129843i	−0.492834	−	0.870123i	$-0.664039\pi$
$859$	−14.2024	+	3.80552i	−0.484580	+	0.129843i	0.00825461	+	0.999966i	$0.497372\pi$
$860$	−6.44471	+	2.66949i	−0.219763	+	0.0910287i
$861$	−24.7085	+	28.0285i	−0.842063	+	0.955210i
$862$	−10.2953	−	4.26445i	−0.350659	−	0.145248i
$863$	−2.19642	−	1.26811i	−0.0747671	−	0.0431668i	0.462150	−	0.886802i	$-0.347078\pi$
$863$	−2.19642	−	1.26811i	−0.0747671	−	0.0431668i	−0.536918	+	0.843635i	$0.680411\pi$
$864$	5.60194	−	0.737509i	0.190582	−	0.0250906i
$865$	−10.3172	−	2.76449i	−0.350796	−	0.0939956i
$866$	−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
$870$	10.4543	+	13.6244i	0.354436	+	0.461910i
$871$	−0.460000	+	0.265581i	−0.0155865	+	0.00899887i
$872$	−1.63200	−	12.3962i	−0.0552664	−	0.419790i
$873$	−0.339390	−	0.0446815i	−0.0114866	−	0.00151224i
$874$	0.386800	−	0.160218i	0.0130837	−	0.00541945i
$875$	21.1658	+	24.2609i	0.715536	+	0.820167i
$876$	−9.73082	−	9.73082i	−0.328774	−	0.328774i
$877$	2.80596	−	21.3134i	0.0947505	−	0.719702i	−0.876459	−	0.481476i	$-0.840101\pi$
$877$	2.80596	−	21.3134i	0.0947505	−	0.719702i	0.971210	−	0.238226i	$-0.0765658\pi$
$878$	−7.71477	+	10.0541i	−0.260361	+	0.339309i
$879$	−2.11467	−	16.0625i	−0.0713259	−	0.541774i
$880$	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	$0.945998\pi$
$882$	5.72799	+	2.40728i	0.192871	+	0.0810574i
$883$	−9.20879			−0.309901			−0.154950	−	0.987922i	$-0.549522\pi$
$883$	−9.20879			−0.309901			−0.154950	+	0.987922i	$0.549522\pi$
$884$	−3.53304	−	0.0817152i	−0.118829	−	0.00274838i
$885$	5.50262	+	9.53081i	0.184968	+	0.320375i
$886$	21.3901	+	5.73147i	0.718615	+	0.192552i
$887$	13.2491	+	17.2666i	0.444861	+	0.579755i	0.960930	−	0.276793i	$-0.0892716\pi$
$887$	13.2491	+	17.2666i	0.444861	+	0.579755i	−0.516068	+	0.856547i	$0.672605\pi$
$888$			11.3938i			0.382351i
$889$	−23.6009	−	11.7144i	−0.791547	−	0.392888i
$890$	7.10399	+	17.1505i	0.238126	+	0.574887i
$891$	1.90796	−	14.4924i	0.0639192	−	0.485515i
$892$	−0.541736	+	2.02179i	−0.0181387	+	0.0676944i
$893$	5.11292	−	19.0817i	0.171097	−	0.638544i
$894$	0.112121	−	0.851641i	0.00374988	−	0.0284831i
$895$	11.7295	+	28.3176i	0.392075	+	0.946554i
$896$	2.20364	−	1.46423i	0.0736186	−	0.0489163i
$897$		−	0.243388i		−	0.00812650i
$898$	5.87419	+	7.65539i	0.196024	+	0.255464i
$899$	−6.35825	−	1.70369i	−0.212059	−	0.0568211i
$900$	0.703781	+	1.21898i	0.0234594	+	0.0406328i
$901$	−25.2556	+	24.1138i	−0.841386	+	0.803346i
$902$	−25.5951			−0.852224
$903$	13.7346	+	4.70177i	0.457058	+	0.156465i
$904$	6.45949	−	15.5946i	0.214839	−	0.518668i
$905$	5.24082	+	3.02579i	0.174211	+	0.100581i
$906$	−2.27727	−	17.2976i	−0.0756572	−	0.574673i
$907$	−28.5304	+	37.1816i	−0.947338	+	1.23459i	0.0246819	+	0.999695i	$0.492143\pi$
$907$	−28.5304	+	37.1816i	−0.947338	+	1.23459i	−0.972020	+	0.234899i	$0.924524\pi$
$908$	0.927089	−	7.04194i	0.0307665	−	0.233695i
$909$	−1.14860	−	1.14860i	−0.0380968	−	0.0380968i
$910$	1.35712	−	3.96434i	0.0449880	−	0.131417i
$911$	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	$0.323954\pi$
$912$	−3.08783	−	0.406521i	−0.102248	−	0.0134613i
$913$	2.96504	+	22.5217i	0.0981284	+	0.745359i
$914$	−27.9183	+	16.1186i	−0.923455	+	0.533157i
$915$	16.0463	+	20.9119i	0.530474	+	0.691328i
$916$	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	0.301031	+	0.953614i	$0.402669\pi$
$919$	−20.4729	+	35.4601i	−0.675338	+	1.16972i	−0.976370	+	0.216106i	$0.930664\pi$
$920$	−0.348708	−	0.0934360i	−0.0114966	−	0.00308049i
$921$	−41.1318	+	5.41510i	−1.35534	+	0.178434i
$922$	−11.4611	−	6.61709i	−0.377453	−	0.217922i
$923$	5.60596	+	2.32206i	0.184522	+	0.0764317i
$924$	−3.23115	−	9.59988i	−0.106297	−	0.315813i
$925$	−11.4853	+	4.75736i	−0.377634	+	0.156421i
$926$	35.6740	−	9.55883i	1.17232	−	0.314123i
$927$	−0.0124829	+	0.0465870i	−0.000409994	+	0.00153012i
$928$	5.07323	+	3.89282i	0.166537	+	0.127788i
$929$	5.15557	+	0.678743i	0.169149	+	0.0222688i	0.214625	−	0.976697i	$-0.431147\pi$
$929$	5.15557	+	0.678743i	0.169149	+	0.0222688i	−0.0454761	+	0.998965i	$0.514480\pi$
$930$	−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
$933$	12.8260	+	47.8673i	0.419905	+	1.56711i
$934$	17.5692	+	30.4308i	0.574883	+	0.995726i
$935$	17.1427	+	10.4332i	0.560626	+	0.341201i
$936$	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	$0.427612\pi$
$938$	0.728962	−	1.46863i	0.0238014	−	0.0479526i
$939$		−	12.7809i		−	0.417090i
$940$	−13.5141	+	10.3697i	−0.440780	+	0.338223i
$941$	32.8404	−	42.7984i	1.07057	−	1.39519i	0.157430	−	0.987530i	$-0.449679\pi$
$941$	32.8404	−	42.7984i	1.07057	−	1.39519i	0.913135	−	0.407658i	$-0.133654\pi$
$942$	20.2717	+	15.5550i	0.660486	+	0.506809i
$943$	1.83375	−	0.491352i	0.0597151	−	0.0160006i
$944$	2.89769	+	2.89769i	0.0943118	+	0.0943118i
$945$	−5.45871	+	27.0778i	−0.177572	+	0.880842i
$946$	3.80553	+	9.18737i	0.123729	+	0.298707i
$947$	26.1053	−	20.0313i	0.848309	−	0.650930i	−0.0902997	−	0.995915i	$-0.528783\pi$
$947$	26.1053	−	20.0313i	0.848309	−	0.650930i	0.938608	+	0.344985i	$0.112116\pi$
$948$	5.53299	−	3.19448i	0.179703	−	0.103752i
$949$	−8.04611	+	1.05929i	−0.261188	+	0.0343860i
$950$	−0.879507	−	3.28237i	−0.0285350	−	0.106494i
$951$	7.45679			0.241803
$952$	9.22302	−	5.82545i	0.298920	−	0.188804i
$953$	−36.5854			−1.18512			−0.592559	−	0.805527i	$-0.701882\pi$
$953$	−36.5854			−1.18512			−0.592559	+	0.805527i	$0.701882\pi$
$954$	−1.94560	−	7.26107i	−0.0629911	−	0.235086i
$955$	7.03663	−	0.926390i	0.227700	−	0.0299773i
$956$	13.5848	−	7.84321i	0.439365	−	0.253668i
$957$	19.4225	−	14.9034i	0.627840	−	0.481758i
$958$	−11.3927	−	27.5043i	−0.368080	−	0.888623i
$959$	−43.0338	−	37.9363i	−1.38963	−	1.22503i
$960$	1.89897	+	1.89897i	0.0612889	+	0.0612889i
$961$	−28.9202	+	7.74914i	−0.932909	+	0.249972i
$962$	5.33075	+	4.09043i	0.171870	+	0.131881i
$963$	−9.86299	+	12.8537i	−0.317830	+	0.414205i
$964$	−2.43759	+	1.87043i	−0.0785095	+	0.0602425i
$965$		−	48.6667i		−	1.56664i
$966$	0.415784	+	0.625750i	0.0133776	+	0.0201332i
$967$	−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
$969$	−12.6893	−	1.97007i	−0.407639	−	0.0632877i
$970$	−0.356306	−	0.617139i	−0.0114403	−	0.0198152i
$971$	−5.11332	−	19.0832i	−0.164094	−	0.612408i	−0.998154	−	0.0607340i	$-0.980656\pi$
$971$	−5.11332	−	19.0832i	−0.164094	−	0.612408i	0.834060	−	0.551674i	$-0.186011\pi$
$972$	−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
$975$	−1.95857	−	0.257851i	−0.0627246	−	0.00825785i
$976$	7.78686	+	5.97507i	0.249251	+	0.191257i
$977$	−6.34289	+	23.6720i	−0.202927	+	0.757334i	0.787144	+	0.616769i	$0.211559\pi$
$977$	−6.34289	+	23.6720i	−0.202927	+	0.757334i	−0.990071	+	0.140565i	$0.955108\pi$
$978$	0.503977	−	0.135040i	0.0161154	−	0.00431811i
$979$	24.4493	−	10.1272i	0.781402	−	0.323667i
$980$	3.28319	+	12.5107i	0.104878	+	0.399639i
$981$	10.2532	+	4.24702i	0.327360	+	0.135597i
$982$	27.7088	+	15.9977i	0.884224	+	0.510507i
$983$	−52.8843	+	6.96235i	−1.68675	+	0.222064i	−0.911995	−	0.410202i	$-0.865458\pi$
$983$	−52.8843	+	6.96235i	−1.68675	+	0.222064i	−0.774751	+	0.632266i	$0.782125\pi$
$984$	−13.6413	−	3.65516i	−0.434867	−	0.116522i
$985$	−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
$989$	−0.449017	−	0.585170i	−0.0142779	−	0.0186073i
$990$	−3.74138	+	2.16009i	−0.118909	+	0.0686521i
$991$	−4.60553	−	34.9824i	−0.146299	−	1.11125i	−0.894272	−	0.447524i	$-0.852306\pi$
$991$	−4.60553	−	34.9824i	−0.146299	−	1.11125i	0.747973	−	0.663730i	$-0.231027\pi$
$992$	−1.02057	−	0.134361i	−0.0324033	−	0.00426597i
$993$	−22.5206	+	9.32835i	−0.714670	+	0.296026i
$994$	−18.3797	+	3.60672i	−0.582969	+	0.114398i
$995$	−7.82535	−	7.82535i	−0.248080	−	0.248080i
$996$	−1.63600	+	12.4267i	−0.0518387	+	0.393754i
$997$	−37.7116	+	49.1467i	−1.19434	+	1.55649i	−0.443083	+	0.896481i	$0.646115\pi$
$997$	−37.7116	+	49.1467i	−1.19434	+	1.55649i	−0.751256	+	0.660011i	$0.770551\pi$
$998$	−0.310850	−	2.36114i	−0.00983980	−	0.0747407i
$999$	−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.93.2	yes	16
7.4	even	3	inner	238.2.q.a.25.1	✓	16
17.15	even	8	inner	238.2.q.a.219.1	yes	16
119.32	even	24	inner	238.2.q.a.151.2	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
238.2.q.a.25.1	✓	16	7.4	even	3	inner
238.2.q.a.93.2	yes	16	1.1	even	1	trivial
238.2.q.a.151.2	yes	16	119.32	even	24	inner
238.2.q.a.219.1	yes	16	17.15	even	8	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+(-0.258819 - 0.965926i) q^{2} +(1.44097 - 0.189708i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(1.46593 - 1.12484i) q^{5} +(-0.556194 - 1.34277i) q^{6} +(2.50753 - 0.843988i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.857367 + 0.229731i) q^{9} +(-1.46593 - 1.12484i) q^{10} +(-1.60354 + 2.08978i) q^{11} +(-1.15306 + 0.884777i) q^{12} +0.857117i q^{13} +(-1.46423 - 2.20364i) q^{14} +(1.89897 - 1.89897i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.14357 - 3.52209i) q^{17} +(0.443806 + 0.768694i) q^{18} +(-0.554619 - 2.06987i) q^{19} +(-0.707107 + 1.70711i) q^{20} +(3.45316 - 1.69186i) q^{21} +(2.43360 + 1.00803i) q^{22} +(-0.193705 - 0.0255018i) q^{23} +(1.15306 + 0.884777i) q^{24} +(-0.410432 + 1.53175i) q^{25} +(0.827911 - 0.221838i) q^{26} +(-5.22018 + 2.16227i) q^{27} +(-1.74959 + 1.98468i) q^{28} +(-5.90790 - 2.44713i) q^{29} +(-2.32575 - 1.34277i) q^{30} +(1.02057 - 0.134361i) q^{31} +(-0.965926 - 0.258819i) 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} +(4.77231 + 6.21940i) q^{37} +(-1.85579 + 1.07144i) q^{38} +(0.162602 + 1.23508i) q^{39} +(1.83195 + 0.241181i) q^{40} +(-8.97716 + 3.71846i) q^{41} +(-2.52796 - 2.89761i) q^{42} +(2.66949 + 2.66949i) q^{43} +(0.343820 - 2.61157i) q^{44} +(-0.998425 + 1.30117i) q^{45} +(0.0255018 + 0.193705i) q^{46} +(7.98371 + 4.60940i) q^{47} +(0.556194 - 1.34277i) q^{48} +(5.57537 - 4.23264i) q^{49} +1.58579 q^{50} +(2.42065 - 5.48188i) q^{51} +(-0.428558 - 0.742285i) q^{52} +(-8.18047 - 2.19195i) q^{53} +(3.43967 + 4.48267i) q^{54} +4.86720i q^{55} +(2.36988 + 1.17630i) q^{56} +(-1.19186 - 2.87740i) q^{57} +(-0.834671 + 6.33996i) q^{58} +(-1.06063 + 3.95832i) q^{59} +(-0.695070 + 2.59404i) q^{60} +(-1.28113 + 9.73115i) q^{61} +(-0.393927 - 0.951024i) q^{62} +(-1.95598 + 1.29966i) q^{63} +1.00000i q^{64} +(0.964123 + 1.25647i) q^{65} +(3.69798 + 0.990870i) q^{66} +(0.309854 + 0.536683i) q^{67} +(-0.0953372 + 4.12200i) q^{68} -0.283962 q^{69} +(-4.62520 - 1.58335i) q^{70} +(2.70916 - 6.54048i) q^{71} +(-0.768694 - 0.443806i) q^{72} +(1.23588 + 9.38742i) q^{73} +(4.77231 - 6.21940i) q^{74} +(-0.300836 + 2.28507i) q^{75} +(1.51525 + 1.51525i) q^{76} +(-2.25718 + 6.59354i) q^{77} +(1.15091 - 0.476724i) q^{78} +(-4.35824 - 0.573773i) q^{79} +(-0.241181 - 1.83195i) q^{80} +(-4.80585 + 2.77466i) q^{81} +(5.91522 + 7.70886i) 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} +(-8.97735 - 2.40547i) q^{87} +(-2.61157 + 0.343820i) q^{88} +(-8.70057 - 5.02328i) q^{89} +(1.51525 + 0.627636i) q^{90} +(0.723396 + 2.14924i) q^{91} +(0.180504 - 0.0747674i) q^{92} +(1.44513 - 0.387221i) q^{93} +(2.38600 - 8.90467i) q^{94} +(-3.14131 - 2.41041i) q^{95} +(-1.44097 - 0.189708i) 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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