LMFDB - Embedded newform 558.2.bd.a.389.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [558,2,Mod(65,558)] 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("558.65"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(558, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([5, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 558 = 2 \cdot 3^{2} \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	558.bd (of order $30$, degree $8$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$4.45565243279$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			389.10
Character	$\chi$	$=$	558.389
Dual form			558.2.bd.a.383.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.743145 + 0.669131i) q^{2} +(0.746176 - 1.56308i) q^{3} +(0.104528 - 0.994522i) q^{4} +0.690290i q^{5} +(0.491388 + 1.66088i) q^{6} +(0.487477 + 0.354173i) q^{7} +(0.587785 + 0.809017i) q^{8} +(-1.88644 - 2.33267i) q^{9} +(-0.461894 - 0.512985i) q^{10} +(0.468054 - 4.45324i) q^{11} +(-1.47652 - 0.905475i) q^{12} +(1.31511 - 0.427304i) q^{13} +(-0.599253 + 0.0629841i) q^{14} +(1.07898 + 0.515078i) q^{15} +(-0.978148 - 0.207912i) q^{16} +(-0.697566 - 0.310577i) q^{17} +(2.96276 + 0.471233i) q^{18} +(2.78389 - 0.591733i) q^{19} +(0.686508 + 0.0721549i) q^{20} +(0.917344 - 0.497690i) q^{21} +(2.63197 + 3.62259i) q^{22} +(-6.82944 - 3.04066i) q^{23} +(1.70315 - 0.315087i) q^{24} +4.52350 q^{25} +(-0.691393 + 1.19753i) q^{26} +(-5.05376 + 1.20808i) q^{27} +(0.403188 - 0.447785i) q^{28} +(3.22028 + 3.57648i) q^{29} +(-1.14649 + 0.339200i) q^{30} +(3.33703 - 4.45693i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-6.61152 - 4.05451i) q^{33} +(0.726209 - 0.235960i) q^{34} +(-0.244482 + 0.336500i) q^{35} +(-2.51708 + 1.63228i) q^{36} +(6.17424 - 3.56470i) q^{37} +(-1.67288 + 2.30253i) q^{38} +(0.313391 - 2.37446i) q^{39} +(-0.558456 + 0.405742i) q^{40} +(-5.93501 - 1.92840i) q^{41} +(-0.348699 + 0.983679i) q^{42} +(-7.40475 - 2.40595i) q^{43} +(-4.37992 - 0.930981i) q^{44} +(1.61022 - 1.30219i) q^{45} +(7.10986 - 2.31013i) q^{46} +(1.89530 - 8.91669i) q^{47} +(-1.05485 + 1.37378i) q^{48} +(-2.05092 - 6.31209i) q^{49} +(-3.36162 + 3.02681i) q^{50} +(-1.00596 + 0.858608i) q^{51} +(-0.287497 - 1.35257i) q^{52} +(0.410942 + 3.90985i) q^{53} +(2.94731 - 4.27941i) q^{54} +(3.07403 + 0.323093i) q^{55} +0.602554i q^{56} +(1.15234 - 4.79298i) q^{57} +(-4.78627 - 0.503057i) q^{58} +(-1.23917 + 5.82986i) q^{59} +(0.625040 - 1.01923i) q^{60} +(-0.940335 - 0.542903i) q^{61} +(0.502367 + 5.54505i) q^{62} +(-0.0934301 - 1.80525i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(0.294964 + 0.907805i) q^{65} +(7.62632 - 1.41089i) q^{66} +5.05180 q^{67} +(-0.381791 + 0.661281i) q^{68} +(-9.84876 + 8.40609i) q^{69} +(-0.0434773 - 0.413658i) q^{70} +(11.3609 - 1.19408i) q^{71} +(0.778344 - 2.89727i) q^{72} +(5.22431 + 11.7340i) q^{73} +(-2.20310 + 6.78046i) q^{74} +(3.37533 - 7.07060i) q^{75} +(-0.297496 - 2.83049i) q^{76} +(1.80538 - 2.00508i) q^{77} +(1.35593 + 1.97427i) q^{78} +(4.56153 + 6.27841i) q^{79} +(0.143519 - 0.675205i) q^{80} +(-1.88267 + 8.80088i) q^{81} +(5.70092 - 2.53821i) q^{82} +(-3.23399 + 0.687406i) q^{83} +(-0.399075 - 0.964341i) q^{84} +(0.214388 - 0.481523i) q^{85} +(7.11269 - 3.16677i) q^{86} +(7.99322 - 2.36487i) q^{87} +(3.87786 - 2.23889i) q^{88} +(11.5057 + 8.35939i) q^{89} +(-0.325287 + 2.04516i) q^{90} +(0.792423 + 0.257474i) q^{91} +(-3.73787 + 6.47419i) q^{92} +(-4.47652 - 8.54171i) q^{93} +(4.55795 + 7.89460i) q^{94} +(0.408467 + 1.92169i) q^{95} +(-0.135333 - 1.72676i) q^{96} +(-9.86120 + 4.39049i) q^{97} +(5.74775 + 3.31846i) q^{98} +(-11.2709 + 7.30897i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q - 32 q^{4} + 4 q^{7} + 4 q^{9} - 16 q^{15} + 32 q^{16} + 16 q^{18} - 4 q^{19} - 6 q^{20} + 12 q^{21} - 18 q^{23} - 268 q^{25} + 12 q^{26} - 18 q^{28} + 18 q^{30} + 22 q^{31} + 60 q^{33} - 4 q^{36}+ \cdots - 138 q^{99}+O(q^{100}) $ 256 * q - 32 * q^4 + 4 * q^7 + 4 * q^9 - 16 * q^15 + 32 * q^16 + 16 * q^18 - 4 * q^19 - 6 * q^20 + 12 * q^21 - 18 * q^23 - 268 * q^25 + 12 * q^26 - 18 * q^28 + 18 * q^30 + 22 * q^31 + 60 * q^33 - 4 * q^36 + 72 * q^37 + 8 * q^39 + 6 * q^42 + 10 * q^43 - 24 * q^45 - 54 * q^47 + 10 * q^48 - 60 * q^49 + 28 * q^51 + 90 * q^53 - 96 * q^57 - 18 * q^58 + 6 * q^59 - 10 * q^60 - 42 * q^61 + 90 * q^62 + 124 * q^63 + 64 * q^64 + 120 * q^65 - 12 * q^66 - 16 * q^67 - 24 * q^69 - 6 * q^70 + 6 * q^71 + 8 * q^72 + 42 * q^73 - 48 * q^74 - 6 * q^76 - 90 * q^77 + 20 * q^78 - 10 * q^79 - 6 * q^80 + 8 * q^81 + 174 * q^83 - 2 * q^84 - 96 * q^86 + 100 * q^87 + 36 * q^89 - 176 * q^90 - 10 * q^91 + 18 * q^92 - 92 * q^93 - 150 * q^95 - 18 * q^97 + 48 * q^98 - 138 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/558\mathbb{Z}\right)^\times$.

$n$	$127$	$497$
$\chi(n)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	−0.743145	+	0.669131i	−0.525483	+	0.473147i
$2$	−0.743145	+	0.669131i	−0.525483	+	0.473147i
$3$	0.746176	−	1.56308i	0.430805	−	0.902445i
$3$	0.746176	−	1.56308i	0.430805	−	0.902445i
$4$	0.104528	−	0.994522i	0.0522642	−	0.497261i
$5$			0.690290i			0.308707i	0.988016	+	0.154353i	$0.0493294\pi$
$5$			0.690290i			0.308707i	−0.988016	+	0.154353i	$0.950671\pi$
$6$	0.491388	+	1.66088i	0.200608	+	0.678053i
$7$	0.487477	+	0.354173i	0.184249	+	0.133865i	0.676086	−	0.736822i	$-0.263675\pi$
$7$	0.487477	+	0.354173i	0.184249	+	0.133865i	−0.491838	+	0.870687i	$0.663675\pi$
$8$	0.587785	+	0.809017i	0.207813	+	0.286031i
$9$	−1.88644	−	2.33267i	−0.628814	−	0.777556i
$10$	−0.461894	−	0.512985i	−0.146064	−	0.162220i
$11$	0.468054	−	4.45324i	0.141124	−	1.34270i	−0.663169	−	0.748470i	$-0.730789\pi$
$11$	0.468054	−	4.45324i	0.141124	−	1.34270i	0.804293	−	0.594233i	$-0.202544\pi$
$12$	−1.47652	−	0.905475i	−0.426235	−	0.261388i
$13$	1.31511	−	0.427304i	0.364745	−	0.118513i	−0.120910	−	0.992663i	$-0.538581\pi$
$13$	1.31511	−	0.427304i	0.364745	−	0.118513i	0.485655	+	0.874151i	$0.338581\pi$
$14$	−0.599253	+	0.0629841i	−0.160157	+	0.0168332i
$15$	1.07898	+	0.515078i	0.278591	+	0.132992i
$16$	−0.978148	−	0.207912i	−0.244537	−	0.0519779i
$17$	−0.697566	−	0.310577i	−0.169185	−	0.0753259i	0.320397	−	0.947283i	$-0.396184\pi$
$17$	−0.697566	−	0.310577i	−0.169185	−	0.0753259i	−0.489581	+	0.871958i	$0.662850\pi$
$18$	2.96276	+	0.471233i	0.698329	+	0.111071i
$19$	2.78389	−	0.591733i	0.638667	−	0.135753i	0.122814	−	0.992430i	$-0.460808\pi$
$19$	2.78389	−	0.591733i	0.638667	−	0.135753i	0.515854	+	0.856677i	$0.327475\pi$
$20$	0.686508	+	0.0721549i	0.153508	+	0.0161343i
$21$	0.917344	−	0.497690i	0.200181	−	0.108605i
$22$	2.63197	+	3.62259i	0.561137	+	0.772339i
$23$	−6.82944	−	3.04066i	−1.42404	−	0.634022i	−0.457187	−	0.889371i	$-0.651143\pi$
$23$	−6.82944	−	3.04066i	−1.42404	−	0.634022i	−0.966849	+	0.255349i	$0.917810\pi$
$24$	1.70315	−	0.315087i	0.347654	−	0.0643168i
$25$	4.52350			0.904700
$26$	−0.691393	+	1.19753i	−0.135593	+	0.234854i
$27$	−5.05376	+	1.20808i	−0.972598	+	0.232495i
$28$	0.403188	−	0.447785i	0.0761953	−	0.0846234i
$29$	3.22028	+	3.57648i	0.597991	+	0.664136i	0.963822	−	0.266545i	$-0.0858821\pi$
$29$	3.22028	+	3.57648i	0.597991	+	0.664136i	−0.365832	+	0.930681i	$0.619215\pi$
$30$	−1.14649	+	0.339200i	−0.209320	+	0.0619292i
$31$	3.33703	−	4.45693i	0.599349	−	0.800488i
$31$	3.33703	−	4.45693i	0.599349	−	0.800488i
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	−6.61152	−	4.05451i	−1.15092	−	0.705799i
$34$	0.726209	−	0.235960i	0.124544	−	0.0404667i
$35$	−0.244482	+	0.336500i	−0.0413249	+	0.0568789i
$36$	−2.51708	+	1.63228i	−0.419513	+	0.272046i
$37$	6.17424	−	3.56470i	1.01504	−	0.586033i	0.102376	−	0.994746i	$-0.467356\pi$
$37$	6.17424	−	3.56470i	1.01504	−	0.586033i	0.912663	+	0.408713i	$0.134022\pi$
$38$	−1.67288	+	2.30253i	−0.271378	+	0.373519i
$39$	0.313391	−	2.37446i	0.0501826	−	0.380218i
$40$	−0.558456	+	0.405742i	−0.0882996	+	0.0641535i
$41$	−5.93501	−	1.92840i	−0.926892	−	0.301166i	−0.193601	−	0.981080i	$-0.562017\pi$
$41$	−5.93501	−	1.92840i	−0.926892	−	0.301166i	−0.733291	+	0.679915i	$0.762017\pi$
$42$	−0.348699	+	0.983679i	−0.0538055	+	0.151785i
$43$	−7.40475	−	2.40595i	−1.12921	−	0.366904i	−0.315936	−	0.948780i	$-0.602319\pi$
$43$	−7.40475	−	2.40595i	−1.12921	−	0.366904i	−0.813277	+	0.581877i	$0.802319\pi$
$44$	−4.37992	−	0.930981i	−0.660298	−	0.140351i
$45$	1.61022	−	1.30219i	0.240037	−	0.194119i
$46$	7.10986	−	2.31013i	1.04829	−	0.340611i
$47$	1.89530	−	8.91669i	0.276458	−	1.30063i	−0.592429	−	0.805623i	$-0.701831\pi$
$47$	1.89530	−	8.91669i	0.276458	−	1.30063i	0.868887	−	0.495011i	$-0.164836\pi$
$48$	−1.05485	+	1.37378i	−0.152255	+	0.198289i
$49$	−2.05092	−	6.31209i	−0.292989	−	0.901728i
$50$	−3.36162	+	3.02681i	−0.475404	+	0.428056i
$51$	−1.00596	+	0.858608i	−0.140863	+	0.120229i
$52$	−0.287497	−	1.35257i	−0.0398687	−	0.187567i
$53$	0.410942	+	3.90985i	0.0564472	+	0.537059i	0.985807	+	0.167884i	$0.0536932\pi$
$53$	0.410942	+	3.90985i	0.0564472	+	0.537059i	−0.929360	+	0.369176i	$0.879640\pi$
$54$	2.94731	−	4.27941i	0.401079	−	0.582354i
$55$	3.07403	+	0.323093i	0.414502	+	0.0435659i
$56$			0.602554i			0.0805197i
$57$	1.15234	−	4.79298i	0.152632	−	0.634845i
$58$	−4.78627	−	0.503057i	−0.628468	−	0.0660546i
$59$	−1.23917	+	5.82986i	−0.161327	+	0.758983i	0.820868	+	0.571118i	$0.193490\pi$
$59$	−1.23917	+	5.82986i	−0.161327	+	0.758983i	−0.982195	+	0.187865i	$0.939843\pi$
$60$	0.625040	−	1.01923i	0.0806923	−	0.131582i
$61$	−0.940335	−	0.542903i	−0.120398	−	0.0695115i	0.438592	−	0.898686i	$-0.355477\pi$
$61$	−0.940335	−	0.542903i	−0.120398	−	0.0695115i	−0.558989	+	0.829175i	$0.688811\pi$
$62$	0.502367	+	5.54505i	0.0638007	+	0.704223i
$63$	−0.0934301	−	1.80525i	−0.0117711	−	0.227440i
$64$	−0.309017	+	0.951057i	−0.0386271	+	0.118882i
$65$	0.294964	+	0.907805i	0.0365857	+	0.112599i
$66$	7.62632	−	1.41089i	0.938734	−	0.173668i
$67$	5.05180			0.617176			0.308588	−	0.951196i	$-0.400144\pi$
$67$	5.05180			0.617176			0.308588	+	0.951196i	$0.400144\pi$
$68$	−0.381791	+	0.661281i	−0.0462989	+	0.0801921i
$69$	−9.84876	+	8.40609i	−1.18565	+	1.01197i
$70$	−0.0434773	−	0.413658i	−0.00519653	−	0.0494416i
$71$	11.3609	−	1.19408i	1.34829	−	0.141711i	0.597295	−	0.802022i	$-0.296242\pi$
$71$	11.3609	−	1.19408i	1.34829	−	0.141711i	0.750992	+	0.660311i	$0.229576\pi$
$72$	0.778344	−	2.89727i	0.0917287	−	0.341447i
$73$	5.22431	+	11.7340i	0.611459	+	1.37336i	0.908255	+	0.418418i	$0.137415\pi$
$73$	5.22431	+	11.7340i	0.611459	+	1.37336i	−0.296796	+	0.954941i	$0.595918\pi$
$74$	−2.20310	+	6.78046i	−0.256106	+	0.788212i
$75$	3.37533	−	7.07060i	0.389749	−	0.816442i
$76$	−0.297496	−	2.83049i	−0.0341252	−	0.324679i
$77$	1.80538	−	2.00508i	0.205742	−	0.228500i
$78$	1.35593	+	1.97427i	0.153529	+	0.223542i
$79$	4.56153	+	6.27841i	0.513212	+	0.706376i	0.984457	−	0.175627i	$-0.0561951\pi$
$79$	4.56153	+	6.27841i	0.513212	+	0.706376i	−0.471245	+	0.882003i	$0.656195\pi$
$80$	0.143519	−	0.675205i	0.0160459	−	0.0754902i
$81$	−1.88267	+	8.80088i	−0.209186	+	0.977876i
$82$	5.70092	−	2.53821i	0.629561	−	0.280299i
$83$	−3.23399	+	0.687406i	−0.354977	+	0.0754526i	−0.381949	−	0.924184i	$-0.624747\pi$
$83$	−3.23399	+	0.687406i	−0.354977	+	0.0754526i	0.0269719	+	0.999636i	$0.491414\pi$
$84$	−0.399075	−	0.964341i	−0.0435427	−	0.105218i
$85$	0.214388	−	0.481523i	0.0232536	−	0.0522285i
$86$	7.11269	−	3.16677i	0.766981	−	0.341482i
$87$	7.99322	−	2.36487i	0.856963	−	0.253541i
$88$	3.87786	−	2.23889i	0.413382	−	0.238666i
$89$	11.5057	+	8.35939i	1.21960	+	0.886093i	0.996067	−	0.0886023i	$-0.0282400\pi$
$89$	11.5057	+	8.35939i	1.21960	+	0.886093i	0.223536	+	0.974696i	$0.428240\pi$
$90$	−0.325287	+	2.04516i	−0.0342883	+	0.215579i
$91$	0.792423	+	0.257474i	0.0830685	+	0.0269906i
$92$	−3.73787	+	6.47419i	−0.389700	+	0.674981i
$93$	−4.47652	−	8.54171i	−0.464194	−	0.885734i
$94$	4.55795	+	7.89460i	0.470117	+	0.814266i
$95$	0.408467	+	1.92169i	0.0419079	+	0.197161i
$96$	−0.135333	−	1.72676i	−0.0138124	−	0.176236i
$97$	−9.86120	+	4.39049i	−1.00125	+	0.445787i	−0.840852	−	0.541265i	$-0.817946\pi$
$97$	−9.86120	+	4.39049i	−1.00125	+	0.445787i	−0.160401	+	0.987052i	$0.551279\pi$
$98$	5.74775	+	3.31846i	0.580610	+	0.335216i
$99$	−11.2709	+	7.30897i	−1.13277	+	0.734579i
$100$	0.472835	−	4.49872i	0.0472835	−	0.449872i
$101$	−11.9118	+	1.25198i	−1.18527	+	0.124577i	−0.676578	−	0.736371i	$-0.736538\pi$
$101$	−11.9118	+	1.25198i	−1.18527	+	0.124577i	−0.508693	+	0.860948i	$0.669871\pi$
$102$	0.173056	−	1.31119i	0.0171351	−	0.129827i
$103$	1.04921	−	3.22912i	0.103381	−	0.318175i	−0.885966	−	0.463751i	$-0.846503\pi$
$103$	1.04921	−	3.22912i	0.103381	−	0.318175i	0.989347	+	0.145576i	$0.0465034\pi$
$104$	1.11870	+	0.812781i	0.109697	+	0.0796997i
$105$	0.343550	+	0.633233i	0.0335271	+	0.0617972i
$106$	−2.92159	−	2.63061i	−0.283770	−	0.255507i
$107$	−2.80748	+	6.30570i	−0.271409	+	0.609595i	−0.996904	−	0.0786330i	$-0.974944\pi$
$107$	−2.80748	+	6.30570i	−0.271409	+	0.609595i	0.725494	+	0.688228i	$0.241611\pi$
$108$	0.673201	+	5.15236i	0.0647788	+	0.495786i
$109$	−0.252488	−	0.777079i	−0.0241840	−	0.0744307i	0.938236	−	0.345996i	$-0.112459\pi$
$109$	−0.252488	−	0.777079i	−0.0241840	−	0.0744307i	−0.962420	+	0.271565i	$0.912459\pi$
$110$	−2.50064	+	1.81682i	−0.238426	+	0.173227i
$111$	−0.964842	−	12.3107i	−0.0915787	−	1.16848i
$112$	−0.403188	−	0.447785i	−0.0380976	−	0.0423117i
$113$	−7.23847	+	9.96290i	−0.680938	+	0.937231i	−0.999945	−	0.0105214i	$-0.996651\pi$
$113$	−7.23847	+	9.96290i	−0.680938	+	0.937231i	0.319006	+	0.947753i	$0.396651\pi$
$114$	2.35077	+	4.33294i	0.220170	+	0.405817i
$115$	2.09894	−	4.71429i	0.195727	−	0.439610i
$116$	3.89350	−	2.82879i	0.361502	−	0.262647i
$117$	−3.47763	−	2.26162i	−0.321507	−	0.209087i
$118$	−2.98005	−	5.16160i	−0.274336	−	0.475164i
$119$	−0.230050	−	0.398458i	−0.0210886	−	0.0365266i
$120$	0.217501	+	1.17567i	0.0198550	+	0.107323i
$121$	−8.85265	−	1.88169i	−0.804787	−	0.171063i
$122$	1.06208	−	0.225752i	0.0961560	−	0.0204386i
$123$	−7.44280	+	7.83797i	−0.671095	+	0.706726i
$124$	−4.08370	−	3.78463i	−0.366727	−	0.339870i
$125$			6.57397i			0.587994i
$126$	1.27738	+	1.27904i	0.113798	+	0.113946i
$127$	10.7683	+	9.69580i	0.955530	+	0.860364i	0.990288	−	0.139032i	$-0.0443992\pi$
$127$	10.7683	+	9.69580i	0.955530	+	0.860364i	−0.0347574	+	0.999396i	$0.511066\pi$
$128$	−0.406737	−	0.913545i	−0.0359508	−	0.0807468i
$129$	−9.28594	+	9.77895i	−0.817581	+	0.860989i
$130$	−0.826641	−	0.477261i	−0.0725012	−	0.0418586i
$131$	−1.75683	−	3.94591i	−0.153495	−	0.344756i	0.820387	−	0.571808i	$-0.193758\pi$
$131$	−1.75683	−	3.94591i	−0.153495	−	0.344756i	−0.973883	+	0.227052i	$0.927091\pi$
$132$	−4.72339	+	6.15149i	−0.411118	+	0.535419i
$133$	1.56666	+	0.697520i	0.135846	+	0.0604827i
$134$	−3.75422	+	3.38031i	−0.324315	+	0.292015i
$135$	−0.833926	−	3.48856i	−0.0717729	−	0.300248i
$136$	−0.158758	−	0.746895i	−0.0136133	−	0.0640458i
$137$	6.74653	−	7.49278i	0.576395	−	0.640151i	−0.382486	−	0.923961i	$-0.624932\pi$
$137$	6.74653	−	7.49278i	0.576395	−	0.640151i	0.958881	+	0.283810i	$0.0915985\pi$
$138$	1.69428	−	12.8370i	0.144227	−	1.09276i
$139$	5.19696	+	4.67936i	0.440800	+	0.396898i	0.859426	−	0.511261i	$-0.170821\pi$
$139$	5.19696	+	4.67936i	0.440800	+	0.396898i	−0.418626	+	0.908159i	$0.637488\pi$
$140$	0.309101	+	0.278316i	0.0261238	+	0.0235220i
$141$	−12.5233	−	9.61593i	−1.05465	−	0.809808i
$142$	−7.64378	+	8.48928i	−0.641452	+	0.712404i
$143$	−1.28735	−	6.05649i	−0.107653	−	0.506469i
$144$	1.36023	+	2.67391i	0.113353	+	0.222825i
$145$	−2.46881	+	2.22292i	−0.205023	+	0.184604i
$146$	−11.7340	−	5.22431i	−0.971112	−	0.432367i
$147$	−11.3967	−	1.50417i	−0.939981	−	0.124062i
$148$	−2.89979	−	6.51303i	−0.238361	−	0.535368i
$149$	0.697094	+	0.402467i	0.0571082	+	0.0329714i	0.528282	−	0.849069i	$-0.322836\pi$
$149$	0.697094	+	0.402467i	0.0571082	+	0.0329714i	−0.471174	+	0.882040i	$0.656170\pi$
$150$	2.22279	+	7.51301i	0.181490	+	0.613435i
$151$	7.62605	+	17.1284i	0.620599	+	1.39389i	0.900921	+	0.433983i	$0.142892\pi$
$151$	7.62605	+	17.1284i	0.620599	+	1.39389i	−0.280322	+	0.959906i	$0.590441\pi$
$152$	2.11505	+	1.90440i	0.171553	+	0.154467i
$153$	0.591447	+	2.21307i	0.0478157	+	0.178917i
$154$			2.69810i			0.217419i
$155$	3.07657	+	2.30352i	0.247116	+	0.185023i
$156$	−2.32870	−	0.559873i	−0.186445	−	0.0448257i
$157$	−1.29865	+	0.276036i	−0.103643	+	0.0220301i	−0.259441	−	0.965759i	$-0.583538\pi$
$157$	−1.29865	+	0.276036i	−0.103643	+	0.0220301i	0.155798	+	0.987789i	$0.450205\pi$
$158$	−7.59095	−	1.61351i	−0.603904	−	0.128364i
$159$	6.41805	+	2.27510i	0.508984	+	0.180427i
$160$	0.345145	+	0.597808i	0.0272861	+	0.0472609i
$161$	−2.25227	−	3.90105i	−0.177504	−	0.307446i
$162$	−4.48984	−	7.80008i	−0.352755	−	0.612832i
$163$	−4.18573	+	3.04111i	−0.327852	+	0.238198i	−0.739518	−	0.673136i	$-0.764947\pi$
$163$	−4.18573	+	3.04111i	−0.327852	+	0.238198i	0.411667	+	0.911334i	$0.364947\pi$
$164$	−2.53821	+	5.70092i	−0.198201	+	0.445167i
$165$	2.79879	−	4.56387i	0.217885	−	0.355296i
$166$	1.94336	−	2.67481i	0.150834	−	0.207605i
$167$	1.38012	+	1.53278i	0.106797	+	0.118610i	0.794173	−	0.607692i	$-0.207904\pi$
$167$	1.38012	+	1.53278i	0.106797	+	0.118610i	−0.687376	+	0.726302i	$0.741238\pi$
$168$	0.941841	+	0.449612i	0.0726646	+	0.0346883i
$169$	−8.97030	+	6.51731i	−0.690023	+	0.501331i
$170$	0.162881	+	0.501295i	0.0124924	+	0.0384475i
$171$	−6.63196	−	5.37761i	−0.507159	−	0.411236i
$172$	−3.16677	+	7.11269i	−0.241464	+	0.542338i
$173$	13.2869	+	11.9636i	1.01018	+	0.909573i	0.995912	−	0.0903249i	$-0.0287906\pi$
$173$	13.2869	+	11.9636i	1.01018	+	0.909573i	0.0142711	+	0.999898i	$0.495457\pi$
$174$	−4.35772	+	7.10595i	−0.330358	+	0.538701i
$175$	2.20510	+	1.60210i	0.166690	+	0.121107i
$176$	−1.38371	+	4.25861i	−0.104301	+	0.321005i
$177$	8.18790	+	6.28703i	0.615440	+	0.472562i
$178$	−14.1439	+	1.48659i	−1.06013	+	0.111424i
$179$	1.00089	−	9.52284i	0.0748101	−	0.711770i	−0.891260	−	0.453492i	$-0.850178\pi$
$179$	1.00089	−	9.52284i	0.0748101	−	0.711770i	0.966071	−	0.258278i	$-0.0831552\pi$
$180$	−1.12674	−	1.73751i	−0.0839826	−	0.129506i
$181$	16.0613	+	9.27301i	1.19383	+	0.689258i	0.959173	−	0.282821i	$-0.0912702\pi$
$181$	16.0613	+	9.27301i	1.19383	+	0.689258i	0.234656	+	0.972078i	$0.424604\pi$
$182$	−0.761169	+	0.338894i	−0.0564216	+	0.0251205i
$183$	−1.55026	+	1.06472i	−0.114598	+	0.0787062i
$184$	−1.55430	−	7.31238i	−0.114584	−	0.539076i
$185$	2.46067	+	4.26201i	0.180912	+	0.313349i
$186$	9.04222	+	3.35235i	0.663008	+	0.245806i
$187$	−1.70957	+	2.96106i	−0.125016	+	0.216534i
$188$	−8.66974	−	2.81697i	−0.632305	−	0.205448i
$189$	−2.89146	−	1.20099i	−0.210323	−	0.0873594i
$190$	−1.58941	−	1.15477i	−0.115308	−	0.0837761i
$191$	−11.1721	+	6.45019i	−0.808382	+	0.466720i	−0.846394	−	0.532558i	$-0.821231\pi$
$191$	−11.1721	+	6.45019i	−0.808382	+	0.466720i	0.0380115	+	0.999277i	$0.487898\pi$
$192$	1.25600	+	1.19267i	0.0906438	+	0.0860738i
$193$	−24.1513	+	10.7528i	−1.73845	+	0.774006i	−0.744069	+	0.668102i	$0.767107\pi$
$193$	−24.1513	+	10.7528i	−1.73845	+	0.774006i	−0.994376	+	0.105904i	$0.966226\pi$
$194$	4.39049	−	9.86120i	0.315219	−	0.707993i
$195$	1.63907	+	0.216330i	0.117376	+	0.0154917i
$196$	−6.49190	+	1.37989i	−0.463707	+	0.0985639i
$197$	−2.26218	+	1.00719i	−0.161174	+	0.0717593i	−0.485738	−	0.874104i	$-0.661449\pi$
$197$	−2.26218	+	1.00719i	−0.161174	+	0.0717593i	0.324564	+	0.945864i	$0.394782\pi$
$198$	3.48525	−	12.9733i	0.247686	−	0.921973i
$199$	3.89000	−	18.3010i	0.275755	−	1.29732i	−0.594250	−	0.804281i	$-0.702551\pi$
$199$	3.89000	−	18.3010i	0.275755	−	1.29732i	0.870005	−	0.493044i	$-0.164116\pi$
$200$	2.65885	+	3.65959i	0.188009	+	0.258772i
$201$	3.76953	−	7.89637i	0.265882	−	0.556967i
$202$	8.01448	−	8.90098i	0.563897	−	0.626271i
$203$	0.303119	+	2.88399i	0.0212748	+	0.202416i
$204$	0.748752	+	1.09020i	0.0524232	+	0.0763294i
$205$	1.33115	−	4.09687i	0.0929719	−	0.286138i
$206$	1.38099	+	3.10176i	0.0962184	+	0.216110i
$207$	5.79049	+	21.6668i	0.402467	+	1.50595i
$208$	−1.37521	+	0.144540i	−0.0953537	+	0.0100221i
$209$	−1.33212	−	12.6743i	−0.0921447	−	0.876698i
$210$	−0.679023	−	0.240704i	−0.0468571	−	0.0166101i
$211$	3.08501	−	5.34340i	0.212381	−	0.367855i	−0.740078	−	0.672521i	$-0.765211\pi$
$211$	3.08501	−	5.34340i	0.212381	−	0.367855i	0.952459	+	0.304666i	$0.0985448\pi$
$212$	3.93139			0.270009
$213$	6.61077	−	18.6489i	0.452963	−	1.27780i
$214$	−2.13297	−	6.56462i	−0.145807	−	0.448748i
$215$	1.66080	−	5.11142i	0.113266	−	0.348596i
$216$	−3.94789	−	3.37849i	−0.268620	−	0.229877i
$217$	3.20525	−	0.990763i	0.217586	−	0.0672574i
$218$	0.707603	+	0.408535i	0.0479249	+	0.0276695i
$219$	22.2394	+	0.589606i	1.50280	+	0.0398419i
$220$	0.642646	−	3.02341i	0.0433272	−	0.203838i
$221$	−1.05009	−	0.110368i	−0.0706364	−	0.00742418i
$222$	8.95450	+	8.50305i	0.600987	+	0.570687i
$223$			4.14402i			0.277504i	0.990327	+	0.138752i	$0.0443091\pi$
$223$			4.14402i			0.277504i	−0.990327	+	0.138752i	$0.955691\pi$
$224$	0.599253	+	0.0629841i	0.0400393	+	0.00420830i
$225$	−8.53332	−	10.5518i	−0.568888	−	0.703455i
$226$	−1.28725	−	12.2474i	−0.0856266	−	0.814683i
$227$	2.24670	+	10.5699i	0.149119	+	0.701548i	0.987648	+	0.156691i	$0.0500827\pi$
$227$	2.24670	+	10.5699i	0.149119	+	0.701548i	−0.838529	+	0.544857i	$0.816584\pi$
$228$	−4.64627	−	1.64703i	−0.307707	−	0.109077i
$229$	−5.45638	+	4.91294i	−0.360568	+	0.324657i	−0.829426	−	0.558617i	$-0.811332\pi$
$229$	−5.45638	+	4.91294i	−0.360568	+	0.324657i	0.468858	+	0.883273i	$0.344666\pi$
$230$	1.59466	+	4.90786i	0.105149	+	0.323615i
$231$	−1.78697	−	4.31810i	−0.117574	−	0.284110i
$232$	−1.00060	+	4.70746i	−0.0656927	+	0.309060i
$233$	0.371487	−	0.120704i	0.0243370	−	0.00790755i	−0.296823	−	0.954932i	$-0.595927\pi$
$233$	0.371487	−	0.120704i	0.0243370	−	0.00790755i	0.321160	+	0.947025i	$0.395927\pi$
$234$	4.09770	−	0.646277i	0.267875	−	0.0422485i
$235$	6.15510	+	1.30831i	0.401515	+	0.0853446i
$236$	5.66839	+	1.84177i	0.368981	+	0.119889i
$237$	13.2174	−	2.44524i	0.858560	−	0.158836i
$238$	0.437580	+	0.142179i	0.0283641	+	0.00921606i
$239$	8.11361	−	5.89488i	0.524826	−	0.381308i	−0.293593	−	0.955931i	$-0.594851\pi$
$239$	8.11361	−	5.89488i	0.524826	−	0.381308i	0.818419	+	0.574622i	$0.194851\pi$
$240$	−0.948309	−	0.728154i	−0.0612131	−	0.0470021i
$241$	7.52225	−	10.3535i	0.484551	−	0.666927i	−0.494821	−	0.868995i	$-0.664766\pi$
$241$	7.52225	−	10.3535i	0.484551	−	0.666927i	0.979371	+	0.202068i	$0.0647662\pi$
$242$	7.83790	−	4.52521i	0.503839	−	0.290892i
$243$	12.3517	+	9.50977i	0.792361	+	0.610052i
$244$	−0.638220	+	0.878435i	−0.0408579	+	0.0562360i
$245$	4.35717	−	1.41573i	0.278370	−	0.0904478i
$246$	0.286458	−	10.8050i	0.0182639	−	0.688899i
$247$	3.40826	−	1.96776i	0.216862	−	0.125206i
$248$	5.56719	+	0.0800006i	0.353517	+	0.00508004i
$249$	−1.33866	+	5.56792i	−0.0848339	+	0.352852i
$250$	−4.39885	−	4.88541i	−0.278207	−	0.308981i
$251$	13.3292	−	14.8036i	0.841332	−	0.934394i	−0.157254	−	0.987558i	$-0.550264\pi$
$251$	13.3292	−	14.8036i	0.841332	−	0.934394i	0.998586	+	0.0531646i	$0.0169308\pi$
$252$	−1.80512	−	0.0957814i	−0.113712	−	0.00603366i
$253$	−16.7373	+	28.9899i	−1.05227	+	1.82258i
$254$	−14.4902			−0.909193
$255$	−0.592688	−	0.694406i	−0.0371156	−	0.0434854i
$256$	0.913545	+	0.406737i	0.0570966	+	0.0254210i
$257$	3.97063	+	5.46510i	0.247681	+	0.340904i	0.914697	−	0.404139i	$-0.132429\pi$
$257$	3.97063	+	5.46510i	0.247681	+	0.340904i	−0.667016	+	0.745043i	$0.732429\pi$
$258$	0.357397	−	13.4807i	0.0222506	−	0.839271i
$259$	4.27232	+	0.449038i	0.265469	+	0.0279019i
$260$	0.933664	−	0.198456i	0.0579034	−	0.0123077i
$261$	2.26787	−	14.2587i	0.140378	−	0.882589i
$262$	3.94591	+	1.75683i	0.243779	+	0.108537i
$263$	29.2423	+	6.21564i	1.80316	+	0.383273i	0.982218	−	0.187743i	$-0.0601171\pi$
$263$	29.2423	+	6.21564i	1.80316	+	0.383273i	0.820939	+	0.571016i	$0.193450\pi$
$264$	−0.605990	−	7.73201i	−0.0372961	−	0.475873i
$265$	−2.69893	+	0.283669i	−0.165794	+	0.0174256i
$266$	−1.63098	+	0.529939i	−0.100002	+	0.0324926i
$267$	21.6517	−	11.7468i	1.32506	−	0.718891i
$268$	0.528057	−	5.02413i	0.0322562	−	0.306897i
$269$	−19.3932	−	21.5383i	−1.18242	−	1.31322i	−0.939250	−	0.343233i	$-0.888478\pi$
$269$	−19.3932	−	21.5383i	−1.18242	−	1.31322i	−0.243175	−	0.969982i	$-0.578189\pi$
$270$	2.95403	+	2.03450i	0.179777	+	0.123816i
$271$	−0.316978	−	0.436283i	−0.0192551	−	0.0265023i	0.799281	−	0.600958i	$-0.205214\pi$
$271$	−0.316978	−	0.436283i	−0.0192551	−	0.0265023i	−0.818536	+	0.574455i	$0.805214\pi$
$272$	0.617750	+	0.448822i	0.0374566	+	0.0272138i
$273$	0.993740	−	1.04650i	0.0601439	−	0.0633371i
$274$			10.0825i			0.609108i
$275$	2.11724	−	20.1442i	0.127675	−	1.21474i
$276$	7.33057	+	10.6735i	0.441248	+	0.642468i
$277$	−12.0340	+	10.8355i	−0.723054	+	0.651041i	−0.946140	−	0.323758i	$-0.895054\pi$
$277$	−12.0340	+	10.8355i	−0.723054	+	0.651041i	0.223086	+	0.974799i	$0.428387\pi$
$278$	−6.99319			−0.419424
$279$	−16.6917	+	0.623550i	−0.999303	+	0.0373309i
$280$	−0.415937			−0.0248570
$281$	12.9891	−	11.6954i	0.774865	−	0.697691i	−0.183569	−	0.983007i	$-0.558765\pi$
$281$	12.9891	−	11.6954i	0.774865	−	0.697691i	0.958434	+	0.285316i	$0.0920984\pi$
$282$	15.7409	−	1.23368i	0.937359	−	0.0734646i
$283$	1.52080	−	14.4694i	0.0904019	−	0.860117i	−0.851528	−	0.524309i	$-0.824324\pi$
$283$	1.52080	−	14.4694i	0.0904019	−	0.860117i	0.941930	−	0.335808i	$-0.109009\pi$
$284$		−	11.4234i		−	0.677857i
$285$	3.30854	+	0.795450i	0.195981	+	0.0471184i
$286$	5.00927	+	3.63945i	0.296204	+	0.215205i
$287$	−2.21019	−	3.04207i	−0.130463	−	0.179567i
$288$	−2.80004	−	1.07693i	−0.164994	−	0.0634586i
$289$	−10.9851	−	12.2002i	−0.646181	−	0.717657i
$290$	0.347255	−	3.30391i	0.0203915	−	0.194012i
$291$	−0.495503	+	18.6899i	−0.0290469	+	1.09562i
$292$	12.2158	−	3.96915i	0.714875	−	0.232277i
$293$	0.967226	−	0.101660i	0.0565060	−	0.00593901i	−0.0762333	−	0.997090i	$-0.524289\pi$
$293$	0.967226	−	0.101660i	0.0565060	−	0.00593901i	0.132739	+	0.991151i	$0.457623\pi$
$294$	9.47586	−	6.50804i	0.552643	−	0.379556i
$295$	−4.02429	−	0.855389i	−0.234303	−	0.0498027i
$296$	6.51303	+	2.89979i	0.378562	+	0.168547i
$297$	3.01444	+	23.0711i	0.174916	+	1.33872i
$298$	−0.787345	+	0.167355i	−0.0456097	+	0.00969464i
$299$	−10.2807	−	1.08055i	−0.594550	−	0.0624897i
$300$	−6.67904	−	4.09592i	−0.385615	−	0.236478i
$301$	−2.75752	−	3.79540i	−0.158941	−	0.218763i
$302$	−17.1284	−	7.62605i	−0.985628	−	0.438830i
$303$	−6.93137	+	19.5534i	−0.398197	+	1.12331i
$304$	−2.84608			−0.163234
$305$	0.374760	−	0.649103i	0.0214587	−	0.0371675i
$306$	−1.92037	−	1.24888i	−0.109780	−	0.0713937i
$307$	−10.6866	+	11.8687i	−0.609918	+	0.677383i	−0.966436	−	0.256906i	$-0.917297\pi$
$307$	−10.6866	+	11.8687i	−0.609918	+	0.677383i	0.356518	+	0.934288i	$0.383964\pi$
$308$	−1.80538	−	2.00508i	−0.102871	−	0.114250i
$309$	−4.26449	−	4.04949i	−0.242598	−	0.230367i
$310$	−3.82769	+	0.346779i	−0.217398	+	0.0196957i
$311$	29.2305	−	16.8762i	1.65751	−	0.956963i	0.683649	−	0.729811i	$-0.260392\pi$
$311$	29.2305	−	16.8762i	1.65751	−	0.956963i	0.973859	−	0.227152i	$-0.0729415\pi$
$312$	2.10519	−	1.14214i	0.119183	−	0.0646607i
$313$	−2.13435	+	0.693492i	−0.120640	+	0.0391985i	−0.368715	−	0.929542i	$-0.620202\pi$
$313$	−2.13435	+	0.693492i	−0.120640	+	0.0391985i	0.248075	+	0.968741i	$0.420202\pi$
$314$	0.780378	−	1.07410i	0.0440393	−	0.0606149i
$315$	1.24614	−	0.0644938i	0.0702122	−	0.00363382i
$316$	6.72082	−	3.88027i	0.378076	−	0.218282i
$317$	13.8994	−	19.1309i	0.780670	−	1.07450i	−0.214538	−	0.976716i	$-0.568824\pi$
$317$	13.8994	−	19.1309i	0.780670	−	1.07450i	0.995208	−	0.0977843i	$-0.0311755\pi$
$318$	−6.29188	+	2.60378i	−0.352831	+	0.146013i
$319$	17.4342	−	12.6667i	0.976128	−	0.709198i
$320$	−0.656504	−	0.213311i	−0.0366997	−	0.0119245i
$321$	7.76144	+	9.09348i	0.433202	+	0.507548i
$322$	4.28408	+	1.39198i	0.238742	+	0.0775720i
$323$	−2.12572	−	0.451837i	−0.118278	−	0.0251409i
$324$	8.55588	+	2.79230i	0.475327	+	0.155128i
$325$	5.94889	−	1.93291i	0.329985	−	0.107219i
$326$	1.07570	−	5.06079i	0.0595777	−	0.280291i
$327$	−1.40304	−	0.185178i	−0.0775882	−	0.0102404i
$328$	−1.92840	−	5.93501i	−0.106478	−	0.327706i
$329$	4.08196	−	3.67542i	0.225046	−	0.202632i
$330$	0.973920	+	5.26437i	0.0536125	+	0.289794i
$331$	−2.28660	−	10.7576i	−0.125683	−	0.591290i	−0.995240	−	0.0974578i	$-0.968929\pi$
$331$	−2.28660	−	10.7576i	−0.125683	−	0.591290i	0.869557	−	0.493833i	$-0.164404\pi$
$332$	0.345596	+	3.28813i	0.0189671	+	0.180460i
$333$	−19.9626	−	7.67784i	−1.09394	−	0.420743i
$334$	−2.05126	−	0.215596i	−0.112240	−	0.0117969i
$335$			3.48721i			0.190526i
$336$	−1.00077	+	0.296088i	−0.0545967	+	0.0161529i
$337$	18.7145	+	1.96697i	1.01944	+	0.107148i	0.599477	−	0.800392i	$-0.295375\pi$
$337$	18.7145	+	1.96697i	1.01944	+	0.107148i	0.419966	+	0.907540i	$0.362042\pi$
$338$	2.30531	−	10.8456i	0.125392	−	0.589923i
$339$	10.1716	+	18.7484i	0.552448	+	1.01827i
$340$	−0.456475	−	0.263546i	−0.0247559	−	0.0142928i
$341$	−18.2859	−	16.9467i	−0.990235	−	0.917715i
$342$	8.52683	−	0.441304i	0.461078	−	0.0238630i
$343$	2.53919	−	7.81482i	0.137103	−	0.421961i
$344$	−2.40595	−	7.40475i	−0.129720	−	0.399237i
$345$	−5.80264	−	6.79850i	−0.312403	−	0.366019i
$346$	−17.8793			−0.961196
$347$	−9.02516	+	15.6320i	−0.484496	+	0.839172i	−0.999841	−	0.0178109i	$-0.994330\pi$
$347$	−9.02516	+	15.6320i	−0.484496	+	0.839172i	0.515345	+	0.856983i	$0.327664\pi$
$348$	−1.51640	−	8.19663i	−0.0812873	−	0.439386i
$349$	−0.562351	−	5.35041i	−0.0301020	−	0.286401i	−0.999209	−	0.0397614i	$-0.987340\pi$
$349$	−0.562351	−	5.35041i	−0.0301020	−	0.286401i	0.969107	−	0.246640i	$-0.0793264\pi$
$350$	−2.71072	+	0.284908i	−0.144894	+	0.0152290i
$351$	−6.13002	+	3.74825i	−0.327196	+	0.200067i
$352$	−1.82127	−	4.09065i	−0.0970742	−	0.218032i
$353$	−9.21316	+	28.3552i	−0.490367	+	1.50920i	0.333687	+	0.942684i	$0.391707\pi$
$353$	−9.21316	+	28.3552i	−0.490367	+	1.50920i	−0.824054	+	0.566511i	$0.808293\pi$
$354$	−10.2916	+	0.806597i	−0.546994	+	0.0428702i
$355$	0.824258	+	7.84229i	0.0437471	+	0.416226i
$356$	9.51627	−	10.5689i	0.504361	−	0.560150i
$357$	−0.794479	+	0.0622666i	−0.0420483	+	0.00329550i
$358$	5.62822	+	7.74657i	0.297460	+	0.409419i
$359$	−5.76091	+	27.1029i	−0.304049	+	1.43044i	0.515234	+	0.857050i	$0.327705\pi$
$359$	−5.76091	+	27.1029i	−0.304049	+	1.43044i	−0.819283	+	0.573389i	$0.805628\pi$
$360$	1.99996	+	0.537283i	0.105407	+	0.0283173i
$361$	−9.95749	+	4.43336i	−0.524078	+	0.233335i
$362$	−18.1407	+	3.85594i	−0.953457	+	0.202663i
$363$	−9.54687	+	12.4333i	−0.501081	+	0.652581i
$364$	0.338894	−	0.761169i	0.0177629	−	0.0398961i
$365$	−8.09985	+	3.60628i	−0.423965	+	0.188762i
$366$	0.439629	−	1.82856i	0.0229798	−	0.0955805i
$367$	−15.3914	+	8.88626i	−0.803427	+	0.463859i	−0.844668	−	0.535290i	$-0.820202\pi$
$367$	−15.3914	+	8.88626i	−0.803427	+	0.463859i	0.0412411	+	0.999149i	$0.486869\pi$
$368$	6.04801	+	4.39413i	0.315274	+	0.229060i
$369$	6.69773	+	17.4822i	0.348670	+	0.910087i
$370$	−4.68048	−	1.52078i	−0.243327	−	0.0790616i
$371$	−1.18444	+	2.05150i	−0.0614929	+	0.106509i
$372$	−8.96284	+	3.55915i	−0.464701	+	0.184533i
$373$	−15.8332	−	27.4239i	−0.819811	−	1.41995i	−0.905821	−	0.423660i	$-0.860745\pi$
$373$	−15.8332	−	27.4239i	−0.819811	−	1.41995i	0.0860101	−	0.996294i	$-0.472588\pi$
$374$	−0.710880	−	3.34443i	−0.0367587	−	0.172936i
$375$	10.2757	+	4.90534i	0.530632	+	0.253311i
$376$	8.32779	−	3.70777i	0.429473	−	0.191214i
$377$	5.76326	+	3.32742i	0.296823	+	0.171371i
$378$	2.95240	−	1.04225i	0.151855	−	0.0536077i
$379$	−1.21232	+	11.5345i	−0.0622728	+	0.592486i	0.918239	+	0.396026i	$0.129611\pi$
$379$	−1.21232	+	11.5345i	−0.0622728	+	0.592486i	−0.980512	+	0.196460i	$0.937056\pi$
$380$	1.95386	−	0.205359i	0.100231	−	0.0105347i
$381$	23.1904	−	9.59692i	1.18808	−	0.491665i
$382$	3.98644	−	12.2690i	0.203964	−	0.627737i
$383$	−13.5576	−	9.85021i	−0.692763	−	0.503322i	0.184804	−	0.982775i	$-0.440835\pi$
$383$	−13.5576	−	9.85021i	−0.692763	−	0.503322i	−0.877567	+	0.479453i	$0.840835\pi$
$384$	−1.73144	−	0.0459036i	−0.0883573	−	0.00234251i
$385$	1.38409	+	1.24624i	0.0705395	+	0.0635141i
$386$	10.7528	−	24.1513i	0.547305	−	1.22927i
$387$	8.35635	+	21.8115i	0.424777	+	1.10874i
$388$	3.33566	+	10.2661i	0.169343	+	0.521183i
$389$	21.8559	−	15.8792i	1.10814	−	0.805110i	0.125769	−	0.992060i	$-0.459860\pi$
$389$	21.8559	−	15.8792i	1.10814	−	0.805110i	0.982369	+	0.186950i	$0.0598601\pi$
$390$	−1.36282	+	0.935985i	−0.0690089	+	0.0473954i
$391$	3.81963	+	4.24213i	0.193167	+	0.214533i
$392$	3.90109	−	5.36939i	0.197035	−	0.271195i
$393$	−7.47868	−	0.198273i	−0.377250	−	0.0100016i
$394$	1.00719	−	2.26218i	0.0507415	−	0.113967i
$395$	−4.33392	+	3.14878i	−0.218063	+	0.158432i
$396$	6.09080	+	11.9731i	0.306074	+	0.601673i
$397$	−11.1922	−	19.3854i	−0.561718	−	0.972924i	−0.997347	−	0.0727978i	$-0.976807\pi$
$397$	−11.1922	−	19.3854i	−0.561718	−	0.972924i	0.435629	−	0.900127i	$-0.356526\pi$
$398$	9.35493	+	16.2032i	0.468920	+	0.812194i
$399$	2.25928	−	1.92834i	0.113106	−	0.0965376i
$400$	−4.42465	−	0.940489i	−0.221233	−	0.0470244i
$401$	7.19491	−	1.52933i	0.359297	−	0.0763709i	−0.0247267	−	0.999694i	$-0.507872\pi$
$401$	7.19491	−	1.52933i	0.359297	−	0.0763709i	0.384023	+	0.923323i	$0.374538\pi$
$402$	2.48240	+	8.39046i	0.123811	+	0.418478i
$403$	2.48409	−	7.28727i	0.123741	−	0.363005i
$404$			11.9774i			0.595900i
$405$	−6.07516	−	1.29959i	−0.301877	−	0.0645770i
$406$	−2.15502	−	1.94039i	−0.106952	−	0.0963001i
$407$	−12.9846	−	29.1638i	−0.643622	−	1.44560i
$408$	−1.28592	−	0.309165i	−0.0636625	−	0.0153059i
$409$	−14.7794	−	8.53289i	−0.730794	−	0.421924i	0.0879186	−	0.996128i	$-0.471978\pi$
$409$	−14.7794	−	8.53289i	−0.730794	−	0.421924i	−0.818713	+	0.574204i	$0.805312\pi$
$410$	1.75210	+	3.93529i	0.0865302	+	0.194350i
$411$	−6.67772	−	16.1363i	−0.329388	−	0.795945i
$412$	−3.10176	−	1.38099i	−0.152813	−	0.0680367i
$413$	−2.66884	+	2.40304i	−0.131325	+	0.118246i
$414$	−18.8011	−	12.2270i	−0.924024	−	0.600924i
$415$	−0.474509	−	2.23239i	−0.0232927	−	0.109584i
$416$	0.925264	−	1.02761i	0.0453648	−	0.0503827i
$417$	11.1921	−	4.63163i	0.548078	−	0.226812i
$418$	9.47071	+	8.52746i	0.463227	+	0.417092i
$419$	3.67937	+	3.31292i	0.179749	+	0.161847i	0.754094	−	0.656767i	$-0.228076\pi$
$419$	3.67937	+	3.31292i	0.179749	+	0.161847i	−0.574345	+	0.818614i	$0.694743\pi$
$420$	0.665675	−	0.275478i	0.0324816	−	0.0134419i
$421$	−12.4543	+	13.8319i	−0.606983	+	0.674123i	−0.965801	−	0.259284i	$-0.916513\pi$
$421$	−12.4543	+	13.8319i	−0.606983	+	0.674123i	0.358818	+	0.933408i	$0.383180\pi$
$422$	1.28282	+	6.03520i	0.0624468	+	0.293789i
$423$	−24.3751	+	12.3997i	−1.18516	+	0.602895i
$424$	−2.92159	+	2.63061i	−0.141885	+	0.127754i
$425$	−3.15544	−	1.40489i	−0.153061	−	0.0681473i
$426$	7.56582	+	18.2823i	0.366565	+	0.885782i
$427$	−0.266110	−	0.597693i	−0.0128780	−	0.0289244i
$428$	5.97769	+	3.45122i	0.288943	+	0.166821i
$429$	−10.4274	−	2.50698i	−0.503438	−	0.121038i
$430$	2.18599	+	4.90982i	0.105418	+	0.236772i
$431$	−16.9692	−	15.2792i	−0.817380	−	0.735972i	0.150168	−	0.988661i	$-0.452019\pi$
$431$	−16.9692	−	15.2792i	−0.817380	−	0.735972i	−0.967548	+	0.252688i	$0.918685\pi$
$432$	5.19450	−	0.130945i	0.249921	−	0.00630010i
$433$			26.0264i			1.25075i	0.780324	+	0.625375i	$0.215054\pi$
$433$			26.0264i			1.25075i	−0.780324	+	0.625375i	$0.784946\pi$
$434$	−1.71901	+	2.88101i	−0.0825153	+	0.138293i
$435$	1.63244	+	5.51764i	0.0782697	+	0.264551i
$436$	−0.799215	+	0.169878i	−0.0382754	+	0.00813570i
$437$	−20.8116	−	4.42365i	−0.995555	−	0.211612i
$438$	−16.9216	+	14.4429i	−0.808547	+	0.690109i
$439$	3.08764	+	5.34795i	0.147365	+	0.255244i	0.930253	−	0.366919i	$-0.119587\pi$
$439$	3.08764	+	5.34795i	0.147365	+	0.255244i	−0.782888	+	0.622163i	$0.786254\pi$
$440$	1.54548	+	2.67685i	0.0736778	+	0.127614i
$441$	−10.8551	+	16.6915i	−0.516908	+	0.794834i
$442$	0.854216	−	0.620624i	0.0406309	−	0.0295201i
$443$	−1.35543	+	3.04434i	−0.0643982	+	0.144641i	−0.942877	−	0.333140i	$-0.891892\pi$
$443$	−1.35543	+	3.04434i	−0.0643982	+	0.144641i	0.878479	+	0.477781i	$0.158559\pi$
$444$	−12.3441	−	0.327265i	−0.585827	−	0.0155313i
$445$	−5.77040	+	7.94227i	−0.273543	+	0.376500i
$446$	−2.77289	−	3.07961i	−0.131300	−	0.145824i
$447$	1.14924	−	0.789303i	0.0543574	−	0.0373327i
$448$	−0.487477	+	0.354173i	−0.0230311	+	0.0167331i
$449$	4.88449	+	15.0329i	0.230513	+	0.709447i	0.997685	+	0.0680052i	$0.0216635\pi$
$449$	4.88449	+	15.0329i	0.230513	+	0.709447i	−0.767172	+	0.641442i	$0.778337\pi$
$450$	13.4020	+	2.13162i	0.631778	+	0.100486i
$451$	−11.3655	+	25.5274i	−0.535182	+	1.20204i
$452$	9.15170	+	8.24023i	0.430460	+	0.387588i
$453$	32.4634	+	0.860663i	1.52527	+	0.0404375i
$454$	−8.74226	−	6.35162i	−0.410295	−	0.298096i
$455$	−0.177732	+	0.547002i	−0.00833219	+	0.0256438i
$456$	4.55493	−	1.88498i	0.213304	−	0.0882721i
$457$	−19.5450	+	2.05426i	−0.914276	+	0.0960943i	−0.549970	−	0.835185i	$-0.685361\pi$
$457$	−19.5450	+	2.05426i	−0.914276	+	0.0960943i	−0.364307	+	0.931279i	$0.618694\pi$
$458$	0.767477	−	7.30206i	0.0358619	−	0.341203i
$459$	3.90054	+	0.726864i	0.182062	+	0.0339271i
$460$	−4.46906	−	2.58022i	−0.208371	−	0.120303i
$461$	3.80116	−	1.69239i	0.177038	−	0.0788223i	−0.316304	−	0.948658i	$-0.602442\pi$
$461$	3.80116	−	1.69239i	0.177038	−	0.0788223i	0.493342	+	0.869836i	$0.335775\pi$
$462$	4.21735	+	2.01326i	0.196209	+	0.0936652i
$463$	−3.40313	−	16.0105i	−0.158157	−	0.744069i	−0.983713	−	0.179749i	$-0.942472\pi$
$463$	−3.40313	−	16.0105i	−0.158157	−	0.744069i	0.825556	−	0.564321i	$-0.190862\pi$
$464$	−2.40632	−	4.16786i	−0.111710	−	0.193488i
$465$	5.89625	−	3.09010i	0.273432	−	0.143300i
$466$	−0.195303	+	0.338274i	−0.00904721	+	0.0156702i
$467$	−17.4574	−	5.67224i	−0.807831	−	0.262480i	−0.124152	−	0.992263i	$-0.539621\pi$
$467$	−17.4574	−	5.67224i	−0.807831	−	0.262480i	−0.683679	+	0.729783i	$0.739621\pi$
$468$	−2.61274	+	3.22218i	−0.120774	+	0.148945i
$469$	2.46263	+	1.78921i	0.113714	+	0.0826180i
$470$	−5.44956	+	3.14631i	−0.251369	+	0.145128i
$471$	−0.537553	+	2.23586i	−0.0247691	+	0.103023i
$472$	−5.44482	+	2.42419i	−0.250618	+	0.111582i
$473$	−14.1801	+	31.8490i	−0.652001	+	1.46442i
$474$	−8.18623	+	10.6613i	−0.376006	+	0.489690i
$475$	12.5929	−	2.67671i	0.577802	−	0.122816i
$476$	−0.420322	+	0.187139i	−0.0192654	+	0.00857751i
$477$	8.34516	−	8.33430i	0.382099	−	0.381601i
$478$	−2.08514	+	9.80981i	−0.0953721	+	0.448690i
$479$	−14.1864	−	19.5259i	−0.648192	−	0.892159i	0.350828	−	0.936440i	$-0.385900\pi$
$479$	−14.1864	−	19.5259i	−0.648192	−	0.892159i	−0.999019	+	0.0442809i	$0.985900\pi$
$480$	1.19196	−	0.0934189i	0.0544053	−	0.00426397i
$481$	6.59657	−	7.32624i	0.300778	−	0.334048i
$482$	1.33772	+	12.7275i	0.0609313	+	0.579722i
$483$	−7.77825	+	0.609613i	−0.353922	+	0.0277383i
$484$	−2.79674	+	8.60747i	−0.127124	+	0.391248i
$485$	−3.03071	−	6.80709i	−0.137617	−	0.309094i
$486$	−15.5424	+	1.19775i	−0.705016	+	0.0543312i
$487$	28.3525	−	2.97996i	1.28477	−	0.135035i	0.562589	−	0.826737i	$-0.309805\pi$
$487$	28.3525	−	2.97996i	1.28477	−	0.135035i	0.722183	+	0.691702i	$0.243139\pi$
$488$	−0.113498	−	1.07986i	−0.00513779	−	0.0488828i
$489$	1.63021	+	8.81184i	0.0737206	+	0.398485i
$490$	−2.29070	+	3.96761i	−0.103483	+	0.179238i
$491$	26.2730			1.18568			0.592841	−	0.805319i	$-0.298006\pi$
$491$	26.2730			1.18568			0.592841	+	0.805319i	$0.298006\pi$
$492$	7.01704	+	8.22132i	0.316353	+	0.370646i
$493$	−1.13559	−	3.49498i	−0.0511442	−	0.157406i
$494$	−1.21614	+	3.74290i	−0.0547168	+	0.168401i
$495$	−5.04530	−	7.78017i	−0.226770	−	0.349693i
$496$	−4.19076	+	3.66572i	−0.188171	+	0.164596i
$497$	5.96107	+	3.44162i	0.267390	+	0.154378i
$498$	−2.73085	−	5.03350i	−0.122372	−	0.225557i
$499$	2.41545	−	11.3638i	0.108130	−	0.508713i	−0.890432	−	0.455116i	$-0.849598\pi$
$499$	2.41545	−	11.3638i	0.108130	−	0.508713i	0.998563	−	0.0535972i	$-0.0170687\pi$
$500$	6.53796	+	0.687167i	0.292386	+	0.0307311i
$501$	3.42567	−	1.01352i	0.153048	−	0.0452806i
$502$			19.9202i			0.889081i
$503$	−9.16621	−	0.963408i	−0.408701	−	0.0429562i	−0.102053	−	0.994779i	$-0.532541\pi$
$503$	−9.16621	−	0.963408i	−0.408701	−	0.0429562i	−0.306649	+	0.951823i	$0.599208\pi$
$504$	1.40556	−	1.13668i	0.0626086	−	0.0506319i
$505$	−0.864232	−	8.22262i	−0.0384578	−	0.365902i
$506$	−6.95978	−	32.7432i	−0.309400	−	1.45561i
$507$	3.49365	+	18.8844i	0.155158	+	0.838684i
$508$	10.7683	−	9.69580i	0.477765	−	0.430182i
$509$	6.89524	+	21.2214i	0.305626	+	0.940620i	0.979443	+	0.201722i	$0.0646537\pi$
$509$	6.89524	+	21.2214i	0.305626	+	0.940620i	−0.673817	+	0.738898i	$0.735346\pi$
$510$	0.905102	+	0.119459i	0.0400786	+	0.00528972i
$511$	−1.60913	+	7.57035i	−0.0711836	+	0.334893i
$512$	−0.951057	+	0.309017i	−0.0420312	+	0.0136568i
$513$	−13.3542	+	6.35364i	−0.589604	+	0.280520i
$514$	−6.60762	−	1.40449i	−0.291450	−	0.0619495i
$515$	2.22903	+	0.724256i	0.0982228	+	0.0319145i
$516$	8.75474	+	10.2572i	0.385406	+	0.451550i
$517$	−38.8211	−	12.6137i	−1.70735	−	0.554751i
$518$	−3.47541	+	2.52504i	−0.152701	+	0.110944i
$519$	28.6144	−	11.8415i	1.25603	−	0.519786i
$520$	−0.561054	+	0.772225i	−0.0246039	+	0.0338643i
$521$	22.0046	−	12.7043i	0.964038	−	0.556588i	0.0666244	−	0.997778i	$-0.478777\pi$
$521$	22.0046	−	12.7043i	0.964038	−	0.556588i	0.897413	+	0.441191i	$0.145444\pi$
$522$	7.85555	+	12.1138i	0.343828	+	0.530205i
$523$	17.8612	−	24.5839i	0.781018	−	1.07498i	−0.214151	−	0.976801i	$-0.568698\pi$
$523$	17.8612	−	24.5839i	0.781018	−	1.07498i	0.995169	−	0.0981782i	$-0.0313015\pi$
$524$	−4.10793	+	1.33475i	−0.179456	+	0.0583087i
$525$	4.14960	−	2.25130i	0.181104	−	0.0982549i
$526$	−25.8903	+	14.9478i	−1.12887	+	0.651755i
$527$	−3.71202	+	2.07260i	−0.161698	+	0.0902838i
$528$	5.62407	+	5.34052i	0.244756	+	0.232416i
$529$	22.0056	+	24.4397i	0.956764	+	1.06259i
$530$	1.81588	−	2.01674i	0.0788769	−	0.0876017i
$531$	15.9367	−	8.10711i	0.691596	−	0.351819i
$532$	0.857459	−	1.48516i	0.0371756	−	0.0643900i
$533$	−8.62918			−0.373771
$534$	−8.23021	+	23.2174i	−0.356156	+	1.00471i
$535$	−4.35276	−	1.93797i	−0.188186	−	0.0837859i
$536$	2.96937	+	4.08699i	0.128257	+	0.176531i
$537$	−14.1381	−	8.67019i	−0.610105	−	0.374146i
$538$	28.8239	+	3.02952i	1.24269	+	0.130612i
$539$	−29.0692	+	6.17885i	−1.25210	+	0.266142i
$540$	−3.55662	+	0.464704i	−0.153053	+	0.0199977i
$541$	−23.5840	−	10.5003i	−1.01395	−	0.451442i	−0.168621	−	0.985681i	$-0.553931\pi$
$541$	−23.5840	−	10.5003i	−1.01395	−	0.451442i	−0.845333	+	0.534239i	$0.820598\pi$
$542$	0.527491	+	0.112122i	0.0226577	+	0.00481604i
$543$	26.4790	−	18.1859i	1.13632	−	0.780430i
$544$	−0.759399	+	0.0798160i	−0.0325589	+	0.00342208i
$545$	0.536410	−	0.174290i	0.0229773	−	0.00746577i
$546$	−0.0382470	+	1.44264i	−0.00163682	+	0.0617394i
$547$	2.25552	−	21.4599i	0.0964392	−	0.917558i	−0.834161	−	0.551521i	$-0.814048\pi$
$547$	2.25552	−	21.4599i	0.0964392	−	0.917558i	0.930600	−	0.366037i	$-0.119286\pi$
$548$	−6.74653	−	7.49278i	−0.288197	−	0.320076i
$549$	0.507477	+	3.21764i	0.0216586	+	0.137326i
$550$	11.9057	+	16.3868i	0.507661	+	0.698735i
$551$	11.0812	+	8.05097i	0.472076	+	0.342983i
$552$	−12.5896	−	3.02684i	−0.535850	−	0.128831i
$553$			4.67615i			0.198850i
$554$	1.69267	−	16.1047i	0.0719146	−	0.684221i
$555$	8.49797	−	0.666020i	0.360719	−	0.0282710i
$556$	5.19696	−	4.67936i	0.220400	−	0.198449i
$557$	16.5766			0.702374			0.351187	−	0.936305i	$-0.385778\pi$
$557$	16.5766			0.702374			0.351187	+	0.936305i	$0.385778\pi$
$558$	11.9871	−	11.6323i	0.507453	−	0.492434i
$559$	−10.7661			−0.455358
$560$	0.309101	−	0.278316i	0.0130619	−	0.0117610i
$561$	3.35274	+	4.88167i	0.141553	+	0.206104i
$562$	−1.82701	+	17.3828i	−0.0770676	+	0.733249i
$563$		−	5.53925i		−	0.233451i	−0.993164	−	0.116726i	$-0.962760\pi$
$563$		−	5.53925i		−	0.233451i	0.993164	−	0.116726i	$-0.0372399\pi$
$564$	−10.8723	+	11.4495i	−0.457806	+	0.482113i
$565$	−6.87729	−	4.99664i	−0.289330	−	0.210210i
$566$	8.55175	+	11.7705i	0.359457	+	0.494750i
$567$	−4.03479	+	3.62344i	−0.169445	+	0.152170i
$568$	7.64378	+	8.48928i	0.320726	+	0.356202i
$569$	−1.27140	+	12.0966i	−0.0532998	+	0.507114i	0.935006	+	0.354631i	$0.115394\pi$
$569$	−1.27140	+	12.0966i	−0.0532998	+	0.507114i	−0.988306	+	0.152483i	$0.951273\pi$
$570$	−2.99099	+	1.62271i	−0.125279	+	0.0679679i
$571$	41.3018	−	13.4198i	1.72843	−	0.561600i	0.735206	−	0.677844i	$-0.237086\pi$
$571$	41.3018	−	13.4198i	1.72843	−	0.561600i	0.993221	+	0.116244i	$0.0370855\pi$
$572$	−6.15788	+	0.647219i	−0.257474	+	0.0270616i
$573$	1.74585	+	22.2758i	0.0729338	+	0.930586i
$574$	3.67803	+	0.781790i	0.153518	+	0.0326313i
$575$	−30.8930	−	13.7544i	−1.28833	−	0.573599i
$576$	2.80144	−	1.07328i	0.116727	−	0.0447200i
$577$	−28.9514	+	6.15380i	−1.20526	+	0.256186i	−0.766397	−	0.642367i	$-0.777952\pi$
$577$	−28.9514	+	6.15380i	−1.20526	+	0.256186i	−0.438864	+	0.898554i	$0.644619\pi$
$578$	16.3270	+	1.71604i	0.679114	+	0.0713778i
$579$	−1.21355	+	45.7739i	−0.0504333	+	1.90230i
$580$	1.95269	+	2.68764i	0.0810809	+	0.111598i
$581$	−1.81996	−	0.810297i	−0.0755045	−	0.0336168i
$582$	−12.1378	−	14.2209i	−0.503127	−	0.589475i
$583$	17.6038			0.729077
$584$	−6.42222	+	11.1236i	−0.265753	+	0.460299i
$585$	1.56117	−	2.40057i	0.0645466	−	0.0992515i
$586$	−0.650766	+	0.722748i	−0.0268829	+	0.0298565i
$587$	−24.0470	−	26.7070i	−0.992528	−	1.10231i	−0.994752	−	0.102316i	$-0.967375\pi$
$587$	−24.0470	−	26.7070i	−0.992528	−	1.10231i	0.00222396	−	0.999998i	$-0.499292\pi$
$588$	−2.68721	+	11.1770i	−0.110819	+	0.460932i
$589$	6.65261	−	14.3822i	0.274116	−	0.592609i
$590$	3.56300	−	2.05710i	0.146686	−	0.0846894i
$591$	−0.113670	+	4.28752i	−0.00467575	+	0.176365i
$592$	−6.78046	+	2.20310i	−0.278675	+	0.0905470i
$593$	8.22698	−	11.3235i	0.337842	−	0.464999i	−0.605968	−	0.795489i	$-0.707214\pi$
$593$	8.22698	−	11.3235i	0.337842	−	0.464999i	0.943809	+	0.330490i	$0.107214\pi$
$594$	−17.6777	−	15.1281i	−0.725326	−	0.620713i
$595$	0.275051	−	0.158801i	0.0112760	−	0.00651020i
$596$	0.473129	−	0.651206i	0.0193801	−	0.0266744i
$597$	−25.7033	−	19.7362i	−1.05197	−	0.807747i
$598$	8.36310	−	6.07614i	0.341992	−	0.248472i
$599$	24.2681	+	7.88520i	0.991570	+	0.322180i	0.759492	−	0.650517i	$-0.225448\pi$
$599$	24.2681	+	7.88520i	0.991570	+	0.322180i	0.232078	+	0.972697i	$0.425448\pi$
$600$	7.70420	−	1.42529i	0.314523	−	0.0581874i
$601$	26.1305	+	8.49031i	1.06588	+	0.346327i	0.788884	−	0.614543i	$-0.210659\pi$
$601$	26.1305	+	8.49031i	1.06588	+	0.346327i	0.277001	+	0.960870i	$0.410659\pi$
$602$	4.58886	+	0.975391i	0.187028	+	0.0397540i
$603$	−9.52993	−	11.7842i	−0.388089	−	0.479888i
$604$	17.8317	−	5.79387i	0.725562	−	0.235749i
$605$	1.29891	−	6.11089i	0.0528082	−	0.248443i
$606$	−7.93274	−	19.1690i	−0.322245	−	0.778686i
$607$	9.53313	+	29.3399i	0.386938	+	1.19087i	0.935065	+	0.354477i	$0.115341\pi$
$607$	9.53313	+	29.3399i	0.386938	+	1.19087i	−0.548127	+	0.836395i	$0.684659\pi$
$608$	2.11505	−	1.90440i	0.0857766	−	0.0772336i
$609$	4.73408	+	1.67816i	0.191835	+	0.0680025i
$610$	0.155834	+	0.733141i	0.00630953	+	0.0296840i
$611$	−1.31762	−	12.5363i	−0.0533050	−	0.507164i
$612$	2.26277	−	0.356878i	0.0914672	−	0.0144259i
$613$	12.5688	+	1.32104i	0.507650	+	0.0533562i	0.354892	−	0.934907i	$-0.384518\pi$
$613$	12.5688	+	1.32104i	0.507650	+	0.0533562i	0.152758	+	0.988264i	$0.451184\pi$
$614$		−	15.9709i		−	0.644534i
$615$	−5.41047	−	5.13769i	−0.218171	−	0.207172i
$616$	2.68332	+	0.282028i	0.108114	+	0.0113632i
$617$	−4.14771	+	19.5134i	−0.166980	+	0.785581i	0.812327	+	0.583202i	$0.198201\pi$
$617$	−4.14771	+	19.5134i	−0.166980	+	0.785581i	−0.979307	+	0.202379i	$0.935133\pi$
$618$	5.87877	+	0.155857i	0.236479	+	0.00626947i
$619$	−5.28215	−	3.04965i	−0.212308	−	0.122576i	0.390076	−	0.920783i	$-0.372449\pi$
$619$	−5.28215	−	3.04965i	−0.212308	−	0.122576i	−0.602383	+	0.798207i	$0.705782\pi$
$620$	2.61249	−	2.81893i	0.104920	−	0.113211i
$621$	38.1877	+	7.11627i	1.53242	+	0.285566i
$622$	−10.4301	+	32.1005i	−0.418208	+	1.28711i
$623$	2.64810	+	8.15001i	0.106094	+	0.326523i
$624$	−0.800221	+	2.25742i	−0.0320345	+	0.0903690i
$625$	18.0796			0.723182
$626$	1.12209	−	1.94352i	0.0448479	−	0.0776788i
$627$	−20.8049	−	7.37503i	−0.830868	−	0.294530i
$628$	0.138778	+	1.32039i	0.00553785	+	0.0526891i
$629$	−5.41405	+	0.569040i	−0.215872	+	0.0226891i
$630$	−0.882910	+	0.881761i	−0.0351760	+	0.0351302i
$631$	−5.06688	−	11.3804i	−0.201709	−	0.453047i	0.784161	−	0.620558i	$-0.213094\pi$
$631$	−5.06688	−	11.3804i	−0.201709	−	0.453047i	−0.985870	+	0.167511i	$0.946427\pi$
$632$	−2.39814	+	7.38071i	−0.0953928	+	0.293589i
$633$	−6.05020	−	8.80925i	−0.240474	−	0.350136i
$634$	2.47180	+	23.5176i	0.0981676	+	0.934003i
$635$	−6.69291	+	7.43323i	−0.265600	+	0.294979i
$636$	2.93351	−	6.14507i	0.116321	−	0.243668i
$637$	−5.39437	−	7.42471i	−0.213733	−	0.294178i
$638$	−4.48047	+	21.0789i	−0.177383	+	0.834523i
$639$	−24.2170	−	24.2486i	−0.958010	−	0.959259i
$640$	0.630611	−	0.280766i	0.0249271	−	0.0110983i
$641$	47.1246	−	10.0166i	1.86131	−	0.395633i	0.866655	−	0.498907i	$-0.166265\pi$
$641$	47.1246	−	10.0166i	1.86131	−	0.395633i	0.994653	+	0.103274i	$0.0329319\pi$
$642$	−11.8526	−	1.56435i	−0.467785	−	0.0617400i
$643$	−12.4927	+	28.0590i	−0.492662	+	1.10654i	0.480621	+	0.876928i	$0.340411\pi$
$643$	−12.4927	+	28.0590i	−0.492662	+	1.10654i	−0.973283	+	0.229609i	$0.926255\pi$
$644$	−4.11511	+	1.83216i	−0.162158	+	0.0721973i
$645$	−6.75031	−	6.40998i	−0.265793	−	0.252393i
$646$	1.88206	−	1.08661i	0.0740486	−	0.0427520i
$647$	6.88886	+	5.00505i	0.270829	+	0.196769i	0.714907	−	0.699219i	$-0.246469\pi$
$647$	6.88886	+	5.00505i	0.270829	+	0.196769i	−0.444078	+	0.895988i	$0.646469\pi$
$648$	−8.22667	+	3.64992i	−0.323174	+	0.143382i
$649$	25.3818	+	8.24703i	0.996321	+	0.323724i
$650$	−3.12751	+	5.41701i	−0.122671	+	0.212473i
$651$	0.843037	−	5.74934i	0.0330412	−	0.225335i
$652$	2.58692	+	4.48068i	0.101312	+	0.175477i
$653$	1.50057	+	7.05961i	0.0587217	+	0.276264i	0.997706	−	0.0676961i	$-0.0215648\pi$
$653$	1.50057	+	7.05961i	0.0587217	+	0.276264i	−0.938984	+	0.343960i	$0.888231\pi$
$654$	1.16657	−	0.801202i	0.0456165	−	0.0313295i
$655$	2.72382	−	1.21272i	0.106428	−	0.0473850i
$656$	5.40437	+	3.12022i	0.211005	+	0.121824i
$657$	17.5161	−	34.3221i	0.683369	−	1.33903i
$658$	−0.574156	+	5.46273i	−0.0223830	+	0.212960i
$659$	−37.0722	+	3.89645i	−1.44413	+	0.151784i	−0.793943	−	0.607992i	$-0.791975\pi$
$659$	−37.0722	+	3.89645i	−1.44413	+	0.151784i	−0.650185	+	0.759776i	$0.725309\pi$
$660$	−4.24631	−	3.26051i	−0.165287	−	0.126915i
$661$	−4.79521	+	14.7581i	−0.186512	+	0.574025i	−0.999971	−	0.00759737i	$-0.997582\pi$
$661$	−4.79521	+	14.7581i	−0.186512	+	0.574025i	0.813459	+	0.581622i	$0.197582\pi$
$662$	8.89750	+	6.46441i	0.345811	+	0.251247i
$663$	−0.956063	+	1.55901i	−0.0371304	+	0.0605471i
$664$	−2.45702	−	2.21231i	−0.0953507	−	0.0858542i
$665$	−0.481491	+	1.08145i	−0.0186714	+	0.0419367i
$666$	19.9726	−	7.65184i	0.773922	−	0.296503i
$667$	−11.1178	−	34.2171i	−0.430484	−	1.32489i
$668$	1.66864	−	1.21234i	0.0645617	−	0.0469069i
$669$	6.47743	+	3.09217i	0.250432	+	0.119550i
$670$	−2.33340	−	2.59150i	−0.0901469	−	0.100118i
$671$	−2.85780	+	3.93343i	−0.110324	+	0.151848i
$672$	0.545598	−	0.889684i	0.0210469	−	0.0343203i
$673$	2.58070	−	5.79634i	0.0994786	−	0.223433i	−0.856950	−	0.515400i	$-0.827643\pi$
$673$	2.58070	−	5.79634i	0.0994786	−	0.223433i	0.956428	+	0.291968i	$0.0943100\pi$
$674$	−15.2237	+	11.0607i	−0.586396	+	0.426042i
$675$	−22.8607	+	5.46476i	−0.879909	+	0.210339i
$676$	5.54395	+	9.60241i	0.213229	+	0.369323i
$677$	18.2989	+	31.6946i	0.703283	+	1.21812i	0.967308	+	0.253606i	$0.0816167\pi$
$677$	18.2989	+	31.6946i	0.703283	+	1.21812i	−0.264025	+	0.964516i	$0.585050\pi$
$678$	−20.1041	−	7.12662i	−0.772095	−	0.273696i
$679$	−6.36210	−	1.35231i	−0.244155	−	0.0518967i
$680$	0.515574	−	0.109589i	0.0197714	−	0.00420253i
$681$	18.1980	+	4.37523i	0.697350	+	0.167659i
$682$	24.9286	+	0.358224i	0.954565	+	0.0137171i
$683$			23.5993i			0.903002i	0.892271	+	0.451501i	$0.149111\pi$
$683$			23.5993i			0.903002i	−0.892271	+	0.451501i	$0.850889\pi$
$684$	−6.04138	+	6.03352i	−0.230998	+	0.230697i
$685$	5.17219	+	4.65706i	0.197619	+	0.177937i
$686$	3.34215	+	7.50659i	0.127604	+	0.286603i
$687$	3.60791	+	12.1947i	0.137650	+	0.465256i
$688$	6.74271	+	3.89291i	0.257063	+	0.148416i
$689$	2.21113	+	4.96627i	0.0842372	+	0.189200i
$690$	8.86128	+	1.16955i	0.337343	+	0.0445238i
$691$	−32.5298	−	14.4832i	−1.23749	−	0.550966i	−0.319506	−	0.947584i	$-0.603517\pi$
$691$	−32.5298	−	14.4832i	−1.23749	−	0.550966i	−0.917984	+	0.396618i	$0.870184\pi$
$692$	13.2869	−	11.9636i	0.505092	−	0.454787i
$693$	−8.08293	−	0.428887i	−0.307045	−	0.0162921i
$694$	−3.75287	−	17.6559i	−0.142457	−	0.670208i
$695$	−3.23011	+	3.58740i	−0.122525	+	0.136078i
$696$	6.61152	+	5.07662i	0.250609	+	0.192429i
$697$	3.54114	+	3.18846i	0.134130	+	0.120772i
$698$	3.99803	+	3.59985i	0.151328	+	0.136256i
$699$	0.0885256	−	0.670731i	0.00334835	−	0.0253694i
$700$	1.82382	−	2.02556i	0.0689339	−	0.0765588i
$701$	−3.14753	−	14.8080i	−0.118881	−	0.559290i	−0.996762	−	0.0804111i	$-0.974377\pi$
$701$	−3.14753	−	14.8080i	−0.118881	−	0.559290i	0.877881	−	0.478879i	$-0.158957\pi$
$702$	2.04743	−	6.88728i	0.0772751	−	0.259944i
$703$	15.0790	−	13.5772i	0.568716	−	0.512075i
$704$	4.09065	+	1.82127i	0.154172	+	0.0686418i
$705$	6.63778	−	8.64469i	0.249993	−	0.325578i
$706$	−12.1266	−	27.2368i	−0.456391	−	1.02507i
$707$	−6.25016	−	3.60853i	−0.235061	−	0.135713i
$708$	7.10846	−	7.48587i	0.267152	−	0.281336i
$709$	−3.14921	−	7.07325i	−0.118271	−	0.265641i	0.844703	−	0.535236i	$-0.179777\pi$
$709$	−3.14921	−	7.07325i	−0.118271	−	0.265641i	−0.962974	+	0.269594i	$0.913110\pi$
$710$	−5.86006	−	5.27642i	−0.219924	−	0.198021i
$711$	6.04037	−	22.4844i	0.226532	−	0.843230i
$712$			14.2218i			0.532986i
$713$	−36.3421	+	20.2915i	−1.36102	+	0.759923i
$714$	0.548749	−	0.577883i	0.0205364	−	0.0216267i
$715$	4.18073	−	0.888642i	0.156351	−	0.0332333i
$716$	−9.36605	−	1.99082i	−0.350026	−	0.0744003i
$717$	−3.15999	−	17.0808i	−0.118012	−	0.637896i
$718$	−13.8542	−	23.9962i	−0.517035	−	0.895531i
$719$	−11.9831	−	20.7553i	−0.446892	−	0.774040i	0.551289	−	0.834314i	$-0.314136\pi$
$719$	−11.9831	−	20.7553i	−0.446892	−	0.774040i	−0.998182	+	0.0602736i	$0.980803\pi$
$720$	−1.84577	+	0.938953i	−0.0687878	+	0.0349927i
$721$	1.65513	−	1.20252i	0.0616403	−	0.0447843i
$722$	4.43336	−	9.95749i	0.164993	−	0.370579i
$723$	−10.5704	−	19.4834i	−0.393118	−	0.724596i
$724$	10.9011	−	15.0040i	0.405135	−	0.557621i
$725$	14.5669	+	16.1782i	0.541002	+	0.600844i
$726$	−1.22482	−	15.6279i	−0.0454573	−	0.580005i
$727$	−26.4882	+	19.2448i	−0.982392	+	0.713750i	−0.958242	−	0.285958i	$-0.907688\pi$
$727$	−26.4882	+	19.2448i	−0.982392	+	0.713750i	−0.0241504	+	0.999708i	$0.507688\pi$
$728$	0.257474	+	0.792423i	0.00954262	+	0.0293692i
$729$	24.0811	−	12.2107i	0.891892	−	0.452249i
$730$	3.60628	−	8.09985i	0.133475	−	0.299789i
$731$	4.41807	+	3.97805i	0.163408	+	0.147133i
$732$	0.896840	+	1.65306i	0.0331482	+	0.0610987i
$733$	27.4784	+	19.9642i	1.01494	+	0.737396i	0.965239	−	0.261368i	$-0.0841736\pi$
$733$	27.4784	+	19.9642i	1.01494	+	0.737396i	0.0496995	+	0.998764i	$0.484174\pi$
$734$	5.49201	−	16.9027i	0.202714	−	0.623889i
$735$	1.03832	−	7.86700i	0.0382989	−	0.290179i
$736$	−7.43479	+	0.781428i	−0.274050	+	0.0288038i
$737$	2.36452	−	22.4969i	0.0870981	−	0.828683i
$738$	−16.6753	−	8.51016i	−0.613825	−	0.313263i
$739$	−40.3756	−	23.3108i	−1.48524	−	0.857503i	−0.485381	−	0.874303i	$-0.661319\pi$
$739$	−40.3756	−	23.3108i	−1.48524	−	0.857503i	−0.999859	+	0.0167996i	$0.994652\pi$
$740$	4.49588	−	2.00169i	0.165272	−	0.0735837i
$741$	−0.532605	−	6.79568i	−0.0195657	−	0.249645i
$742$	−0.492517	−	2.31711i	−0.0180808	−	0.0850637i
$743$	−2.11251	−	3.65897i	−0.0775004	−	0.134235i	0.824670	−	0.565613i	$-0.191361\pi$
$743$	−2.11251	−	3.65897i	−0.0775004	−	0.134235i	−0.902171	+	0.431379i	$0.858027\pi$
$744$	4.27915	−	8.64227i	0.156881	−	0.316841i
$745$	−0.277819	+	0.481197i	−0.0101785	+	0.0176297i
$746$	30.1165	+	9.78544i	1.10264	+	0.358271i
$747$	7.70423	+	6.24707i	0.281883	+	0.228568i
$748$	2.76614	+	2.00972i	0.101140	+	0.0734827i
$749$	−3.60189	+	2.07955i	−0.131610	+	0.0759851i
$750$	−10.9186	+	3.23037i	−0.398691	+	0.117957i
$751$	−41.1332	+	18.3137i	−1.50097	+	0.668275i	−0.982405	−	0.186763i	$-0.940200\pi$
$751$	−41.1332	+	18.3137i	−1.50097	+	0.668275i	−0.518565	+	0.855038i	$0.673534\pi$
$752$	−3.70777	+	8.32779i	−0.135208	+	0.303683i
$753$	−13.1933	−	31.8807i	−0.480789	−	1.16180i
$754$	−6.50941	+	1.38362i	−0.237059	+	0.0503884i
$755$	−11.8236	+	5.26419i	−0.430303	+	0.191583i
$756$	−1.49665	+	2.75008i	−0.0544328	+	0.100020i
$757$	8.10819	−	38.1460i	0.294697	−	1.38644i	−0.542737	−	0.839903i	$-0.682612\pi$
$757$	8.10819	−	38.1460i	0.294697	−	1.38644i	0.837434	−	0.546538i	$-0.184055\pi$
$758$	−6.81714	−	9.38298i	−0.247610	−	0.340805i
$759$	32.8246	+	47.7934i	1.19146	+	1.73479i
$760$	−1.31459	+	1.46000i	−0.0476851	+	0.0529597i
$761$	4.44609	+	42.3017i	0.161171	+	1.53344i	0.714003	+	0.700143i	$0.246880\pi$
$761$	4.44609	+	42.3017i	0.161171	+	1.53344i	−0.552832	+	0.833293i	$0.686453\pi$
$762$	−10.8122	+	22.6493i	−0.391685	+	0.820497i
$763$	0.152138	−	0.468232i	0.00550776	−	0.0169512i
$764$	5.24706	+	11.7851i	0.189832	+	0.426370i
$765$	−1.52766	+	0.408270i	−0.0552328	+	0.0147610i
$766$	16.6664	−	1.75171i	0.602180	−	0.0632917i
$767$	0.861475	+	8.19639i	0.0311061	+	0.295955i
$768$	1.31743	−	1.12445i	0.0475386	−	0.0405750i
$769$	1.87891	−	3.25437i	0.0677554	−	0.117356i	−0.830158	−	0.557529i	$-0.811750\pi$
$769$	1.87891	−	3.25437i	0.0677554	−	0.117356i	0.897913	+	0.440173i	$0.145083\pi$
$770$	−1.86247			−0.0671188
$771$	11.5052	−	2.12848i	0.414349	−	0.0766555i
$772$	8.16944	+	25.1429i	0.294024	+	0.904914i
$773$	−13.1327	+	40.4184i	−0.472352	+	1.45375i	0.377144	+	0.926155i	$0.376906\pi$
$773$	−13.1327	+	40.4184i	−0.472352	+	1.45375i	−0.849496	+	0.527596i	$0.823094\pi$
$774$	−20.8047	−	10.6176i	−0.747810	−	0.381642i
$775$	15.0951	−	20.1609i	0.542231	−	0.724201i
$776$	−9.34825	−	5.39721i	−0.335583	−	0.193749i
$777$	3.88978	−	6.34291i	0.139545	−	0.227551i
$778$	−5.61682	+	26.4250i	−0.201373	+	0.947384i
$779$	−17.6635	−	1.85651i	−0.632860	−	0.0665163i
$780$	0.386474	−	1.60748i	0.0138380	−	0.0575568i
$781$		−	51.1516i		−	1.83035i
$782$	−5.67707	−	0.596684i	−0.203012	−	0.0213374i
$783$	−20.5952	−	14.1843i	−0.736013	−	0.506907i
$784$	0.693748	+	6.60057i	0.0247767	+	0.235735i
$785$	−0.190545	−	0.896442i	−0.00680083	−	0.0319954i
$786$	5.69041	−	4.85687i	0.202970	−	0.173239i
$787$	−35.1906	+	31.6857i	−1.25441	+	1.12947i	−0.268307	+	0.963333i	$0.586464\pi$
$787$	−35.1906	+	31.6857i	−1.25441	+	1.12947i	−0.986102	+	0.166141i	$0.946869\pi$
$788$	0.765209	+	2.35507i	0.0272594	+	0.0838960i
$789$	31.5355	−	41.0701i	1.12269	−	1.46213i
$790$	1.11379	−	5.23996i	0.0396268	−	0.186429i
$791$	−7.05717	+	2.29301i	−0.250924	+	0.0815302i
$792$	−12.5379	−	4.82223i	−0.445516	−	0.171351i
$793$	−1.46863	−	0.312166i	−0.0521524	−	0.0110853i
$794$	21.2887	+	6.91713i	0.755509	+	0.245480i
$795$	−1.57048	+	4.43031i	−0.0556991	+	0.157127i
$796$	−17.7941	−	5.78167i	−0.630697	−	0.204926i
$797$	−23.9416	+	17.3946i	−0.848057	+	0.616149i	−0.924609	−	0.380916i	$-0.875609\pi$
$797$	−23.9416	+	17.3946i	−0.848057	+	0.616149i	0.0765530	+	0.997066i	$0.475609\pi$
$798$	−0.388664	+	2.94479i	−0.0137586	+	0.104244i
$799$	−4.09142	+	5.63135i	−0.144744	+	0.199223i
$800$	3.91747	−	2.26175i	0.138503	−	0.0799649i
$801$	−2.20519	−	42.6085i	−0.0779167	−	1.50550i
$802$	−4.32354	+	5.95084i	−0.152670	+	0.210132i
$803$	54.6995	−	17.7730i	1.93030	−	0.627194i
$804$	−7.45909	−	4.57428i	−0.263062	−	0.161322i
$805$	2.69285	−	1.55472i	0.0949106	−	0.0547967i
$806$	3.03009	+	7.07768i	0.106730	+	0.249301i
$807$	−48.1369	+	14.2418i	−1.69450	+	0.501334i
$808$	−8.01448	−	8.90098i	−0.281948	−	0.313135i
$809$	−14.0616	+	15.6169i	−0.494378	+	0.549063i	−0.937766	−	0.347267i	$-0.887110\pi$
$809$	−14.0616	+	15.6169i	−0.494378	+	0.549063i	0.443388	+	0.896330i	$0.353776\pi$
$810$	5.38432	−	3.09929i	0.189186	−	0.108898i
$811$	23.2601	−	40.2877i	0.816773	−	1.41469i	−0.0912753	−	0.995826i	$-0.529094\pi$
$811$	23.2601	−	40.2877i	0.816773	−	1.41469i	0.908048	−	0.418866i	$-0.137572\pi$
$812$	2.89987			0.101766
$813$	−0.918468	+	0.169919i	−0.0322121	+	0.00595931i
$814$	29.1638	+	12.9846i	1.02219	+	0.455109i
$815$	−2.09925	−	2.88937i	−0.0735334	−	0.101210i
$816$	1.16250	−	0.630694i	0.0406955	−	0.0220787i
$817$	−22.0377	−	2.31625i	−0.771000	−	0.0810354i
$818$	16.6928	−	3.54817i	0.583652	−	0.124059i
$819$	−0.894260	−	2.33417i	−0.0312480	−	0.0815625i
$820$	−3.93529	−	1.75210i	−0.137426	−	0.0611861i
$821$	19.6997	+	4.18730i	0.687523	+	0.146138i	0.538411	−	0.842683i	$-0.319025\pi$
$821$	19.6997	+	4.18730i	0.687523	+	0.146138i	0.149113	+	0.988820i	$0.452358\pi$
$822$	15.7598	+	7.52334i	0.549686	+	0.262407i
$823$	8.81886	−	0.926899i	0.307406	−	0.0323097i	0.0504304	−	0.998728i	$-0.483941\pi$
$823$	8.81886	−	0.926899i	0.307406	−	0.0323097i	0.256976	+	0.966418i	$0.417274\pi$
$824$	3.22912	−	1.04921i	0.112492	−	0.0365508i
$825$	−29.9072	−	18.3406i	−1.04124	−	0.638537i
$826$	0.375391	−	3.57161i	0.0130615	−	0.124272i
$827$	9.17935	+	10.1947i	0.319197	+	0.354505i	0.881295	−	0.472566i	$-0.156672\pi$
$827$	9.17935	+	10.1947i	0.319197	+	0.354505i	−0.562098	+	0.827071i	$0.690006\pi$
$828$	22.1534	−	3.49397i	0.769884	−	0.121424i
$829$	8.20408	+	11.2920i	0.284940	+	0.392186i	0.927362	−	0.374165i	$-0.122071\pi$
$829$	8.20408	+	11.2920i	0.284940	+	0.392186i	−0.642423	+	0.766351i	$0.722071\pi$
$830$	1.84639	+	1.34148i	0.0640891	+	0.0465635i
$831$	7.95723	+	26.8953i	0.276033	+	0.932988i
$832$			1.38279i			0.0479395i
$833$	−0.529733	+	5.04007i	−0.0183542	+	0.174628i
$834$	−5.21815	+	10.9309i	−0.180690	+	0.378507i
$835$	−1.05806	+	0.952682i	−0.0366157	+	0.0329689i
$836$	−12.7441			−0.440764
$837$	−11.4803	+	26.5557i	−0.396816	+	0.917898i
$838$	−4.95109			−0.171032
$839$	9.92974	−	8.94077i	0.342813	−	0.308670i	−0.479682	−	0.877442i	$-0.659248\pi$
$839$	9.92974	−	8.94077i	0.342813	−	0.308670i	0.822495	+	0.568772i	$0.192581\pi$
$840$	−0.310362	+	0.650143i	−0.0107085	+	0.0224321i
$841$	0.610299	−	5.80661i	0.0210448	−	0.200228i
$842$		−	18.6126i		−	0.641432i
$843$	−8.58875	−	29.0299i	−0.295812	−	0.999841i
$844$	−4.99166	−	3.62665i	−0.171820	−	0.124835i
$845$	−4.49883	−	6.19211i	−0.154764	−	0.213015i
$846$	9.81716	−	25.5249i	0.337521	−	0.877564i
$847$	−3.64902	−	4.05265i	−0.125382	−	0.139251i
$848$	0.410942	−	3.90985i	0.0141118	−	0.134265i
$849$	−21.4821	−	13.1739i	−0.737263	−	0.452125i
$850$	3.28501	−	1.06736i	0.112675	−	0.0366103i
$851$	−53.0056	+	5.57111i	−1.81701	+	0.190975i
$852$	−17.8558	−	8.52390i	−0.611729	−	0.292024i
$853$	−17.7424	−	3.77126i	−0.607487	−	0.129125i	−0.106110	−	0.994354i	$-0.533840\pi$
$853$	−17.7424	−	3.77126i	−0.607487	−	0.129125i	−0.501377	+	0.865229i	$0.667173\pi$
$854$	0.597693	+	0.266110i	0.0204526	+	0.00910610i
$855$	3.71211	−	4.57797i	0.126951	−	0.156563i
$856$	−6.75161	+	1.43510i	−0.230765	+	0.0490507i
$857$	25.0222	+	2.62994i	0.854742	+	0.0898370i	0.521756	−	0.853095i	$-0.325277\pi$
$857$	25.0222	+	2.62994i	0.854742	+	0.0898370i	0.332986	+	0.942932i	$0.391944\pi$
$858$	9.42654	−	5.11422i	0.321817	−	0.174597i
$859$	29.5791	+	40.7122i	1.00923	+	1.38908i	0.919489	+	0.393115i	$0.128603\pi$
$859$	29.5791	+	40.7122i	1.00923	+	1.38908i	0.0897370	+	0.995965i	$0.471397\pi$
$860$	−4.90982	−	2.18599i	−0.167423	−	0.0745417i
$861$	−6.40419	+	1.18479i	−0.218254	+	0.0403775i
$862$	22.8344			0.777742
$863$	−11.5041	+	19.9258i	−0.391606	+	0.678281i	−0.992662	−	0.120926i	$-0.961414\pi$
$863$	−11.5041	+	19.9258i	−0.391606	+	0.678281i	0.601056	+	0.799207i	$0.294747\pi$
$864$	−3.77265	+	3.57311i	−0.128348	+	0.121560i
$865$	−8.25833	+	9.17180i	−0.280792	+	0.311851i
$866$	−17.4151	−	19.3414i	−0.591789	−	0.657248i
$867$	−27.2666	+	8.06709i	−0.926024	+	0.273973i
$868$	−0.650296	−	3.29125i	−0.0220725	−	0.111712i
$869$	30.0943	−	17.3750i	1.02088	−	0.589405i
$870$	−4.90516	−	3.00809i	−0.166301	−	0.101984i
$871$	6.64366	−	2.15866i	0.225112	−	0.0731432i
$872$	0.480261	−	0.661023i	0.0162637	−	0.0223851i
$873$	28.8441	+	14.7205i	0.976226	+	0.498213i
$874$	18.4261	−	10.6383i	0.623271	−	0.359846i
$875$	−2.32832	+	3.20466i	−0.0787116	+	0.108337i
$876$	2.91103	−	22.0560i	0.0983545	−	0.745202i
$877$	25.9827	−	18.8776i	0.877375	−	0.637450i	−0.0551810	−	0.998476i	$-0.517574\pi$
$877$	25.9827	−	18.8776i	0.877375	−	0.637450i	0.932556	+	0.361026i	$0.117574\pi$
$878$	−5.87304	−	1.90827i	−0.198205	−	0.0644009i
$879$	0.562819	−	1.58771i	0.0189834	−	0.0535521i
$880$	−2.93968	−	0.955159i	−0.0990965	−	0.0321984i
$881$	52.4871	+	11.1565i	1.76833	+	0.375871i	0.973091	−	0.230420i	$-0.0740100\pi$
$881$	52.4871	+	11.1565i	1.76833	+	0.375871i	0.795243	+	0.606291i	$0.207343\pi$
$882$	−3.10193	−	19.6677i	−0.104447	−	0.662245i
$883$	26.3421	−	8.55907i	0.886483	−	0.288036i	0.169836	−	0.985472i	$-0.445676\pi$
$883$	26.3421	−	8.55907i	0.886483	−	0.288036i	0.716646	+	0.697437i	$0.245676\pi$
$884$	−0.219528	+	1.03280i	−0.00738351	+	0.0347367i
$885$	−4.33987	+	5.65202i	−0.145883	+	0.189991i
$886$	−1.02978	−	3.16934i	−0.0345962	−	0.106476i
$887$	−4.37493	+	3.93921i	−0.146896	+	0.132266i	−0.739302	−	0.673374i	$-0.764845\pi$
$887$	−4.37493	+	3.93921i	−0.146896	+	0.132266i	0.592407	+	0.805639i	$0.298178\pi$
$888$	9.39247	−	8.01664i	0.315191	−	0.269021i
$889$	1.81530	+	8.54031i	0.0608832	+	0.286433i
$890$	−1.02618	−	9.76341i	−0.0343975	−	0.327270i
$891$	38.3113	+	12.5033i	1.28348	+	0.418875i
$892$	4.12132	+	0.433168i	0.137992	+	0.0145035i
$893$		−	25.9446i		−	0.868202i
$894$	−0.325908	+	1.35556i	−0.0109000	+	0.0453367i
$895$	6.57352	+	0.690904i	0.219728	+	0.0230944i
$896$	0.125278	−	0.589387i	0.00418525	−	0.0196900i
$897$	−9.36021	+	15.2633i	−0.312528	+	0.509628i
$898$	−13.6889	−	7.90327i	−0.456803	−	0.263736i
$899$	26.6863	−	2.41771i	0.890038	−	0.0806351i
$900$	−11.3860	+	7.38361i	−0.379533	+	0.246120i
$901$	0.927649	−	2.85501i	0.0309045	−	0.0951141i
$902$	−8.63493	−	26.5756i	−0.287512	−	0.884870i
$903$	−7.99011	+	1.47819i	−0.265894	+	0.0491911i
$904$	−12.3148			−0.409585
$905$	−6.40106	+	11.0870i	−0.212779	+	0.368543i
$906$	−24.7009	+	21.0827i	−0.820634	+	0.700425i
$907$	0.752107	+	7.15582i	0.0249733	+	0.237605i	0.999887	+	0.0150226i	$0.00478202\pi$
$907$	0.752107	+	7.15582i	0.0249733	+	0.237605i	−0.974914	+	0.222583i	$0.928551\pi$
$908$	10.7468	−	1.12954i	0.356646	−	0.0374850i
$909$	25.3915	+	25.4245i	0.842181	+	0.843279i
$910$	−0.233935	−	0.525427i	−0.00775488	−	0.0174177i
$911$	−8.26430	+	25.4349i	−0.273809	+	0.842696i	0.715724	+	0.698384i	$0.246097\pi$
$911$	−8.26430	+	25.4349i	−0.273809	+	0.842696i	−0.989532	+	0.144312i	$0.953903\pi$
$912$	−2.12368	+	4.44865i	−0.0703220	+	0.147310i
$913$	1.54750	+	14.7235i	0.0512148	+	0.487276i
$914$	13.1502	−	14.6048i	0.434970	−	0.483083i
$915$	−0.734964	−	1.07013i	−0.0242972	−	0.0353773i
$916$	4.31568	+	5.94003i	0.142594	+	0.196264i
$917$	0.541118	−	2.54576i	0.0178693	−	0.0840684i
$918$	−3.38503	+	2.06980i	−0.111723	+	0.0683137i
$919$	18.3118	−	8.15296i	0.604052	−	0.268941i	−0.0818390	−	0.996646i	$-0.526079\pi$
$919$	18.3118	−	8.15296i	0.604052	−	0.268941i	0.685891	+	0.727704i	$0.259413\pi$
$920$	5.04766	−	1.07291i	0.166417	−	0.0353729i
$921$	10.5776	+	25.5602i	0.348545	+	0.842237i
$922$	−1.69239	+	3.80116i	−0.0557358	+	0.125185i
$923$	14.4305	−	6.42488i	0.474987	−	0.211478i
$924$	−4.48123	+	1.32581i	−0.147422	+	0.0436161i
$925$	27.9292	−	16.1249i	0.918305	−	0.530184i
$926$	13.2421	+	9.62096i	0.435163	+	0.316164i
$927$	−9.51173	+	3.64411i	−0.312406	+	0.119688i
$928$	4.57708	+	1.48718i	0.150250	+	0.0488192i
$929$	−21.6522	+	37.5027i	−0.710385	+	1.23042i	0.254327	+	0.967118i	$0.418146\pi$
$929$	−21.6522	+	37.5027i	−0.710385	+	1.23042i	−0.964713	+	0.263305i	$0.915187\pi$
$930$	−2.31409	+	6.24175i	−0.0758820	+	0.204675i
$931$	−9.44462	−	16.3586i	−0.309535	−	0.536130i
$932$	−0.0812113	−	0.382069i	−0.00266017	−	0.0125151i
$933$	−4.56782	−	58.2822i	−0.149544	−	1.90807i
$934$	16.7688	−	7.46596i	0.548693	−	0.244294i
$935$	−2.04399	−	1.18010i	−0.0668457	−	0.0385934i
$936$	−0.214410	−	4.14281i	−0.00700822	−	0.135412i
$937$	−5.66362	+	53.8857i	−0.185022	+	1.76037i	0.370467	+	0.928846i	$0.379198\pi$
$937$	−5.66362	+	53.8857i	−0.185022	+	1.76037i	−0.555489	+	0.831524i	$0.687469\pi$
$938$	−3.02731	+	0.318183i	−0.0988451	+	0.0103890i
$939$	−0.508616	+	3.85362i	−0.0165981	+	0.125758i
$940$	1.94452	−	5.98463i	0.0634234	−	0.195197i
$941$	−7.23602	−	5.25728i	−0.235888	−	0.171382i	0.463562	−	0.886065i	$-0.346571\pi$
$941$	−7.23602	−	5.25728i	−0.235888	−	0.171382i	−0.699449	+	0.714682i	$0.746571\pi$
$942$	−1.09660	−	2.02126i	−0.0357293	−	0.0658563i
$943$	34.6691	+	31.2162i	1.12898	+	1.01654i
$944$	2.42419	−	5.44482i	0.0789007	−	0.177214i
$945$	0.829033	−	1.99595i	0.0269684	−	0.0649281i
$946$	−10.7733	−	33.1568i	−0.350270	−	1.07802i
$947$	−39.3241	+	28.5706i	−1.27786	+	0.928420i	−0.999486	−	0.0320524i	$-0.989796\pi$
$947$	−39.3241	+	28.5706i	−1.27786	+	0.928420i	−0.278375	+	0.960473i	$0.589796\pi$
$948$	−1.05026	−	13.4006i	−0.0341107	−	0.435230i
$949$	11.8845	+	13.1991i	0.385787	+	0.428460i
$950$	−7.56729	+	10.4155i	−0.245515	+	0.337923i
$951$	−19.5318	−	36.0010i	−0.633361	−	1.16741i
$952$	0.187139	−	0.420322i	0.00606522	−	0.0136227i
$953$	18.5745	−	13.4952i	0.601688	−	0.437152i	−0.244790	−	0.969576i	$-0.578719\pi$
$953$	18.5745	−	13.4952i	0.601688	−	0.437152i	0.846478	+	0.532424i	$0.178719\pi$
$954$	−0.624929	+	11.7776i	−0.0202328	+	0.381314i
$955$	−4.45250	−	7.71196i	−0.144080	−	0.249553i
$956$	−5.01449	−	8.68534i	−0.162180	−	0.280904i
$957$	−6.79007	−	36.7026i	−0.219492	−	1.18643i
$958$	23.6079	+	5.01801i	0.762736	+	0.162124i
$959$	5.94251	−	1.26312i	0.191894	−	0.0407883i
$960$	−0.823291	+	0.867002i	−0.0265716	+	0.0279824i
$961$	−8.72841	−	29.7458i	−0.281562	−	0.959543i
$962$			9.85842i			0.317848i
$963$	20.0052	−	5.34643i	0.644660	−	0.172286i
$964$	−9.51049	−	8.56328i	−0.306312	−	0.275805i
$965$	−7.42257	−	16.6714i	−0.238941	−	0.536670i
$966$	5.37245	−	5.65769i	0.172856	−	0.182033i
$967$	30.9393	+	17.8628i	0.994939	+	0.574429i	0.906747	−	0.421675i	$-0.138558\pi$
$967$	30.9393	+	17.8628i	0.994939	+	0.574429i	0.0881923	+	0.996103i	$0.471891\pi$
$968$	−3.68114	−	8.26798i	−0.118316	−	0.265743i
$969$	−2.29242	+	2.98553i	−0.0736432	+	0.0959090i
$970$	6.80709	+	3.03071i	0.218562	+	0.0973102i
$971$	−29.8571	+	26.8834i	−0.958159	+	0.862730i	−0.990607	−	0.136743i	$-0.956336\pi$
$971$	−29.8571	+	26.8834i	−0.958159	+	0.862730i	0.0324477	+	0.999473i	$0.489670\pi$
$972$	10.7488	−	11.2900i	0.344767	−	0.362126i
$973$	0.876094	+	4.12170i	0.0280863	+	0.132136i
$974$	−19.0760	+	21.1860i	−0.611234	+	0.678845i
$975$	1.41762	−	10.7409i	0.0454002	−	0.343984i
$976$	0.806910	+	0.726545i	0.0258286	+	0.0232562i
$977$	−22.7450	−	20.4797i	−0.727677	−	0.655203i	0.219611	−	0.975588i	$-0.429521\pi$
$977$	−22.7450	−	20.4797i	−0.727677	−	0.655203i	−0.947288	+	0.320384i	$0.896188\pi$
$978$	−7.10775	−	5.45765i	−0.227281	−	0.174516i
$979$	42.6117	−	47.3250i	1.36187	−	1.51252i
$980$	−0.952527	−	4.48129i	−0.0304274	−	0.143149i
$981$	−1.33636	+	2.05489i	−0.0426668	+	0.0656075i
$982$	−19.5246	+	17.5801i	−0.623056	+	0.561002i
$983$	−21.6922	−	9.65798i	−0.691873	−	0.308042i	0.0305103	−	0.999534i	$-0.490287\pi$
$983$	−21.6922	−	9.65798i	−0.691873	−	0.308042i	−0.722383	+	0.691493i	$0.756953\pi$
$984$	−10.7158	−	1.41431i	−0.341608	−	0.0450867i
$985$	−0.695252	−	1.56156i	−0.0221526	−	0.0497555i
$986$	3.18250	+	1.83742i	0.101351	+	0.0585153i
$987$	−2.69911	−	9.12295i	−0.0859136	−	0.290387i
$988$	−1.60072	−	3.59527i	−0.0509257	−	0.114381i
$989$	43.2546	+	38.9466i	1.37542	+	1.23843i
$990$	8.95534	+	2.40583i	0.284620	+	0.0764623i
$991$		−	4.36609i		−	0.138693i	−0.997593	−	0.0693467i	$-0.977909\pi$
$991$		−	4.36609i		−	0.138693i	0.997593	−	0.0693467i	$-0.0220915\pi$
$992$	0.661492	−	5.52833i	0.0210024	−	0.175525i
$993$	−18.5212	−	4.45292i	−0.587752	−	0.141309i
$994$	−6.73283	+	1.43111i	−0.213552	+	0.0453920i
$995$	12.6330	+	2.68523i	0.400493	+	0.0851274i
$996$	5.39749	+	1.91333i	0.171026	+	0.0606261i
$997$	−25.1226	−	43.5137i	−0.795641	−	1.37809i	−0.922431	−	0.386162i	$-0.873801\pi$
$997$	−25.1226	−	43.5137i	−0.795641	−	1.37809i	0.126790	−	0.991930i	$-0.459533\pi$
$998$	5.80883	+	10.0612i	0.183875	+	0.318481i
$999$	−26.8967	+	25.4741i	−0.850974	+	0.805966i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	558.2.bd.a.389.10	yes	256
9.5	odd	6		558.2.bh.a.203.20	yes	256
31.11	odd	30		558.2.bh.a.11.20	yes	256
279.104	even	30	inner	558.2.bd.a.383.10	✓	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
558.2.bd.a.383.10	✓	256	279.104	even	30	inner
558.2.bd.a.389.10	yes	256	1.1	even	1	trivial
558.2.bh.a.11.20	yes	256	31.11	odd	30
558.2.bh.a.203.20	yes	256	9.5	odd	6

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:	\( N \)	\(=\)	\( 558 = 2 \cdot 3^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	558.bd (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.743145 + 0.669131i) q^{2} +(0.746176 - 1.56308i) q^{3} +(0.104528 - 0.994522i) q^{4} +0.690290i q^{5} +(0.491388 + 1.66088i) q^{6} +(0.487477 + 0.354173i) q^{7} +(0.587785 + 0.809017i) q^{8} +(-1.88644 - 2.33267i) q^{9} +(-0.461894 - 0.512985i) q^{10} +(0.468054 - 4.45324i) q^{11} +(-1.47652 - 0.905475i) q^{12} +(1.31511 - 0.427304i) q^{13} +(-0.599253 + 0.0629841i) q^{14} +(1.07898 + 0.515078i) q^{15} +(-0.978148 - 0.207912i) q^{16} +(-0.697566 - 0.310577i) q^{17} +(2.96276 + 0.471233i) q^{18} +(2.78389 - 0.591733i) q^{19} +(0.686508 + 0.0721549i) q^{20} +(0.917344 - 0.497690i) q^{21} +(2.63197 + 3.62259i) q^{22} +(-6.82944 - 3.04066i) q^{23} +(1.70315 - 0.315087i) q^{24} +4.52350 q^{25} +(-0.691393 + 1.19753i) q^{26} +(-5.05376 + 1.20808i) q^{27} +(0.403188 - 0.447785i) q^{28} +(3.22028 + 3.57648i) q^{29} +(-1.14649 + 0.339200i) q^{30} +(3.33703 - 4.45693i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-6.61152 - 4.05451i) q^{33} +(0.726209 - 0.235960i) q^{34} +(-0.244482 + 0.336500i) q^{35} +(-2.51708 + 1.63228i) q^{36} +(6.17424 - 3.56470i) q^{37} +(-1.67288 + 2.30253i) q^{38} +(0.313391 - 2.37446i) q^{39} +(-0.558456 + 0.405742i) q^{40} +(-5.93501 - 1.92840i) q^{41} +(-0.348699 + 0.983679i) q^{42} +(-7.40475 - 2.40595i) q^{43} +(-4.37992 - 0.930981i) q^{44} +(1.61022 - 1.30219i) q^{45} +(7.10986 - 2.31013i) q^{46} +(1.89530 - 8.91669i) q^{47} +(-1.05485 + 1.37378i) q^{48} +(-2.05092 - 6.31209i) q^{49} +(-3.36162 + 3.02681i) q^{50} +(-1.00596 + 0.858608i) q^{51} +(-0.287497 - 1.35257i) q^{52} +(0.410942 + 3.90985i) q^{53} +(2.94731 - 4.27941i) q^{54} +(3.07403 + 0.323093i) q^{55} +0.602554i q^{56} +(1.15234 - 4.79298i) q^{57} +(-4.78627 - 0.503057i) q^{58} +(-1.23917 + 5.82986i) q^{59} +(0.625040 - 1.01923i) q^{60} +(-0.940335 - 0.542903i) q^{61} +(0.502367 + 5.54505i) q^{62} +(-0.0934301 - 1.80525i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(0.294964 + 0.907805i) q^{65} +(7.62632 - 1.41089i) q^{66} +5.05180 q^{67} +(-0.381791 + 0.661281i) q^{68} +(-9.84876 + 8.40609i) q^{69} +(-0.0434773 - 0.413658i) q^{70} +(11.3609 - 1.19408i) q^{71} +(0.778344 - 2.89727i) q^{72} +(5.22431 + 11.7340i) q^{73} +(-2.20310 + 6.78046i) q^{74} +(3.37533 - 7.07060i) q^{75} +(-0.297496 - 2.83049i) q^{76} +(1.80538 - 2.00508i) q^{77} +(1.35593 + 1.97427i) q^{78} +(4.56153 + 6.27841i) q^{79} +(0.143519 - 0.675205i) q^{80} +(-1.88267 + 8.80088i) q^{81} +(5.70092 - 2.53821i) q^{82} +(-3.23399 + 0.687406i) q^{83} +(-0.399075 - 0.964341i) q^{84} +(0.214388 - 0.481523i) q^{85} +(7.11269 - 3.16677i) q^{86} +(7.99322 - 2.36487i) q^{87} +(3.87786 - 2.23889i) q^{88} +(11.5057 + 8.35939i) q^{89} +(-0.325287 + 2.04516i) q^{90} +(0.792423 + 0.257474i) q^{91} +(-3.73787 + 6.47419i) q^{92} +(-4.47652 - 8.54171i) q^{93} +(4.55795 + 7.89460i) q^{94} +(0.408467 + 1.92169i) q^{95} +(-0.135333 - 1.72676i) q^{96} +(-9.86120 + 4.39049i) q^{97} +(5.74775 + 3.31846i) q^{98} +(-11.2709 + 7.30897i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q - 32 q^{4} + 4 q^{7} + 4 q^{9} - 16 q^{15} + 32 q^{16} + 16 q^{18} - 4 q^{19} - 6 q^{20} + 12 q^{21} - 18 q^{23} - 268 q^{25} + 12 q^{26} - 18 q^{28} + 18 q^{30} + 22 q^{31} + 60 q^{33} - 4 q^{36}+ \cdots - 138 q^{99}+O(q^{100}) \) 256 * q - 32 * q^4 + 4 * q^7 + 4 * q^9 - 16 * q^15 + 32 * q^16 + 16 * q^18 - 4 * q^19 - 6 * q^20 + 12 * q^21 - 18 * q^23 - 268 * q^25 + 12 * q^26 - 18 * q^28 + 18 * q^30 + 22 * q^31 + 60 * q^33 - 4 * q^36 + 72 * q^37 + 8 * q^39 + 6 * q^42 + 10 * q^43 - 24 * q^45 - 54 * q^47 + 10 * q^48 - 60 * q^49 + 28 * q^51 + 90 * q^53 - 96 * q^57 - 18 * q^58 + 6 * q^59 - 10 * q^60 - 42 * q^61 + 90 * q^62 + 124 * q^63 + 64 * q^64 + 120 * q^65 - 12 * q^66 - 16 * q^67 - 24 * q^69 - 6 * q^70 + 6 * q^71 + 8 * q^72 + 42 * q^73 - 48 * q^74 - 6 * q^76 - 90 * q^77 + 20 * q^78 - 10 * q^79 - 6 * q^80 + 8 * q^81 + 174 * q^83 - 2 * q^84 - 96 * q^86 + 100 * q^87 + 36 * q^89 - 176 * q^90 - 10 * q^91 + 18 * q^92 - 92 * q^93 - 150 * q^95 - 18 * q^97 + 48 * q^98 - 138 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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