LMFDB - Embedded newform 430.2.t.a.9.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(9,430)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 2]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("430.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.t (of order $42$, degree $12$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$264$
Relative dimension:	$22$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			9.12
Character	$\chi$	$=$	430.9
Dual form			430.2.t.a.239.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.781831 - 0.623490i) q^{2} +(-0.408860 + 2.71261i) q^{3} +(0.222521 - 0.974928i) q^{4} +(-0.325780 - 2.21221i) q^{5} +(1.37162 + 2.37572i) q^{6} +(2.50700 + 1.44741i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-4.32436 - 1.33389i) q^{9} +O(q^{10})$	\(q+(0.781831 - 0.623490i) q^{2} +(-0.408860 + 2.71261i) q^{3} +(0.222521 - 0.974928i) q^{4} +(-0.325780 - 2.21221i) q^{5} +(1.37162 + 2.37572i) q^{6} +(2.50700 + 1.44741i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-4.32436 - 1.33389i) q^{9} +(-1.63399 - 1.52645i) q^{10} +(1.21909 + 5.34116i) q^{11} +(2.55362 + 1.00222i) q^{12} +(3.98365 + 0.298533i) q^{13} +(2.86250 - 0.431452i) q^{14} +(6.13406 + 0.0207692i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-0.621074 - 0.910948i) q^{17} +(-4.21259 + 1.65332i) q^{18} +(0.977750 - 0.301596i) q^{19} +(-2.22924 - 0.174650i) q^{20} +(-4.95128 + 6.20871i) q^{21} +(4.28328 + 3.41580i) q^{22} +(-0.118774 - 0.128008i) q^{23} +(2.62137 - 0.808587i) q^{24} +(-4.78773 + 1.44139i) q^{25} +(3.30068 - 2.25036i) q^{26} +(1.81562 - 3.77018i) q^{27} +(1.96898 - 2.12206i) q^{28} +(-0.467997 + 0.0705393i) q^{29} +(4.80875 - 3.80828i) q^{30} +(-2.14455 + 5.46422i) q^{31} +(-0.974928 + 0.222521i) q^{32} +(-14.9869 + 1.12311i) q^{33} +(-1.05354 - 0.324974i) q^{34} +(2.38525 - 6.01754i) q^{35} +(-2.26271 + 3.91912i) q^{36} +(7.44142 - 4.29631i) q^{37} +(0.576394 - 0.845414i) q^{38} +(-2.43856 + 10.6840i) q^{39} +(-1.85178 + 1.25336i) q^{40} +(-2.49227 - 3.12521i) q^{41} +7.94124i q^{42} +(6.50869 - 0.798104i) q^{43} +5.47852 q^{44} +(-1.54205 + 10.0009i) q^{45} +(-0.172673 - 0.0260263i) q^{46} +(5.91532 + 1.35013i) q^{47} +(1.54533 - 2.26658i) q^{48} +(0.690020 + 1.19515i) q^{49} +(-2.84451 + 4.11203i) q^{50} +(2.72498 - 1.31228i) q^{51} +(1.17749 - 3.81734i) q^{52} +(-6.67295 + 0.500068i) q^{53} +(-0.931158 - 4.07967i) q^{54} +(11.4186 - 4.43692i) q^{55} +(0.216331 - 2.88674i) q^{56} +(0.418349 + 2.77556i) q^{57} +(-0.321915 + 0.346941i) q^{58} +(-13.2101 - 6.36163i) q^{59} +(1.38520 - 5.97564i) q^{60} +(-5.02930 - 12.8144i) q^{61} +(1.73021 + 5.60921i) q^{62} +(-8.91047 - 9.60320i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-0.637377 - 8.90992i) q^{65} +(-11.0170 + 10.2223i) q^{66} +(-4.01117 - 13.0039i) q^{67} +(-1.02631 + 0.402797i) q^{68} +(0.395798 - 0.269850i) q^{69} +(-1.88701 - 6.19188i) q^{70} +(-9.71787 - 9.01686i) q^{71} +(0.674478 + 4.47487i) q^{72} +(5.66895 + 0.424829i) q^{73} +(3.13923 - 7.99864i) q^{74} +(-1.95241 - 13.5766i) q^{75} +(-0.0764644 - 1.02035i) q^{76} +(-4.67464 + 15.1548i) q^{77} +(4.75484 + 9.87353i) q^{78} +(-3.46099 + 5.99462i) q^{79} +(-0.666323 + 2.13448i) q^{80} +(-1.73252 - 1.18121i) q^{81} +(-3.89707 - 0.889481i) q^{82} +(0.450737 - 2.99045i) q^{83} +(4.95128 + 6.20871i) q^{84} +(-1.81287 + 1.67071i) q^{85} +(4.59109 - 4.68208i) q^{86} -1.29833i q^{87} +(4.28328 - 3.41580i) q^{88} +(13.3826 + 2.01710i) q^{89} +(5.02986 + 8.78050i) q^{90} +(9.55490 + 6.51442i) q^{91} +(-0.151228 + 0.0873118i) q^{92} +(-13.9455 - 8.05143i) q^{93} +(5.46658 - 2.63257i) q^{94} +(-0.985725 - 2.06473i) q^{95} +(-0.205003 - 2.73558i) q^{96} +(8.16497 - 1.86360i) q^{97} +(1.28464 + 0.504185i) q^{98} +(1.85275 - 24.7232i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 264 q + 44 q^{4} + 4 q^{5} - 2 q^{6} - 6 q^{9}+O(q^{10}) $ 264 * q + 44 * q^4 + 4 * q^5 - 2 * q^6 - 6 * q^9	$ 264 q + 44 q^{4} + 4 q^{5} - 2 q^{6} - 6 q^{9} - 8 q^{11} + 10 q^{14} + 32 q^{15} - 44 q^{16} + 4 q^{19} - 4 q^{20} + 24 q^{21} + 2 q^{24} + 28 q^{25} - 12 q^{26} - 46 q^{29} - 36 q^{31} + 12 q^{34} - 68 q^{35} - 134 q^{36} - 64 q^{39} - 20 q^{41} + 8 q^{44} - 70 q^{45} + 112 q^{49} - 28 q^{50} - 28 q^{51} + 68 q^{54} - 30 q^{55} + 4 q^{56} - 40 q^{59} - 4 q^{60} + 20 q^{61} + 44 q^{64} + 18 q^{65} - 44 q^{66} + 32 q^{69} - 48 q^{70} + 20 q^{71} + 40 q^{74} + 122 q^{75} + 52 q^{76} + 16 q^{79} + 4 q^{80} - 16 q^{81} - 24 q^{84} + 120 q^{85} - 14 q^{86} - 142 q^{89} - 68 q^{90} - 4 q^{94} - 22 q^{95} - 2 q^{96} - 268 q^{99}+O(q^{100}) $ 264 * q + 44 * q^4 + 4 * q^5 - 2 * q^6 - 6 * q^9 - 8 * q^11 + 10 * q^14 + 32 * q^15 - 44 * q^16 + 4 * q^19 - 4 * q^20 + 24 * q^21 + 2 * q^24 + 28 * q^25 - 12 * q^26 - 46 * q^29 - 36 * q^31 + 12 * q^34 - 68 * q^35 - 134 * q^36 - 64 * q^39 - 20 * q^41 + 8 * q^44 - 70 * q^45 + 112 * q^49 - 28 * q^50 - 28 * q^51 + 68 * q^54 - 30 * q^55 + 4 * q^56 - 40 * q^59 - 4 * q^60 + 20 * q^61 + 44 * q^64 + 18 * q^65 - 44 * q^66 + 32 * q^69 - 48 * q^70 + 20 * q^71 + 40 * q^74 + 122 * q^75 + 52 * q^76 + 16 * q^79 + 4 * q^80 - 16 * q^81 - 24 * q^84 + 120 * q^85 - 14 * q^86 - 142 * q^89 - 68 * q^90 - 4 * q^94 - 22 * q^95 - 2 * q^96 - 268 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$-1$	$e\left(\frac{1}{21}\right)$

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 $

$2$	0.781831	−	0.623490i	0.552838	−	0.440874i
$2$	0.781831	−	0.623490i	0.552838	−	0.440874i
$3$	−0.408860	+	2.71261i	−0.236055	+	1.56613i	0.485793	+	0.874074i	$0.338531\pi$
$3$	−0.408860	+	2.71261i	−0.236055	+	1.56613i	−0.721848	+	0.692051i	$0.756707\pi$
$4$	0.222521	−	0.974928i	0.111260	−	0.487464i
$5$	−0.325780	−	2.21221i	−0.145693	−	0.989330i
$5$	−0.325780	−	2.21221i	−0.145693	−	0.989330i
$6$	1.37162	+	2.37572i	0.559963	+	0.969885i
$7$	2.50700	+	1.44741i	0.947556	+	0.547071i	0.892321	−	0.451402i	$-0.149076\pi$
$7$	2.50700	+	1.44741i	0.947556	+	0.547071i	0.0552348	+	0.998473i	$0.482409\pi$
$8$	−0.433884	−	0.900969i	−0.153401	−	0.318541i
$9$	−4.32436	−	1.33389i	−1.44145	−	0.444630i
$10$	−1.63399	−	1.52645i	−0.516715	−	0.482707i
$11$	1.21909	+	5.34116i	0.367568	+	1.61042i	0.733439	+	0.679756i	$0.237914\pi$
$11$	1.21909	+	5.34116i	0.367568	+	1.61042i	−0.365870	+	0.930666i	$0.619229\pi$
$12$	2.55362	+	1.00222i	0.737166	+	0.289316i
$13$	3.98365	+	0.298533i	1.10487	+	0.0827983i	0.614648	−	0.788802i	$-0.289298\pi$
$13$	3.98365	+	0.298533i	1.10487	+	0.0827983i	0.490218	+	0.871600i	$0.336917\pi$
$14$	2.86250	−	0.431452i	0.765035	−	0.115310i
$15$	6.13406	+	0.0207692i	1.58381	+	0.00536258i
$16$	−0.900969	−	0.433884i	−0.225242	−	0.108471i
$17$	−0.621074	−	0.910948i	−0.150632	−	0.220937i	0.743504	−	0.668731i	$-0.233162\pi$
$17$	−0.621074	−	0.910948i	−0.150632	−	0.220937i	−0.894137	+	0.447794i	$0.852210\pi$
$18$	−4.21259	+	1.65332i	−0.992916	+	0.389691i
$19$	0.977750	−	0.301596i	0.224311	−	0.0691908i	−0.180562	−	0.983564i	$-0.557792\pi$
$19$	0.977750	−	0.301596i	0.224311	−	0.0691908i	0.404874	+	0.914373i	$0.367316\pi$
$20$	−2.22924	−	0.174650i	−0.498473	−	0.0390530i
$21$	−4.95128	+	6.20871i	−1.08046	+	1.35485i
$22$	4.28328	+	3.41580i	0.913199	+	0.728252i
$23$	−0.118774	−	0.128008i	−0.0247661	−	0.0266915i	0.720547	−	0.693406i	$-0.243891\pi$
$23$	−0.118774	−	0.128008i	−0.0247661	−	0.0266915i	−0.745313	+	0.666714i	$0.767700\pi$
$24$	2.62137	−	0.808587i	0.535086	−	0.165052i
$25$	−4.78773	+	1.44139i	−0.957547	+	0.288278i
$26$	3.30068	−	2.25036i	0.647316	−	0.441333i
$27$	1.81562	−	3.77018i	0.349417	−	0.725572i
$28$	1.96898	−	2.12206i	0.372103	−	0.401032i
$29$	−0.467997	+	0.0705393i	−0.0869049	+	0.0130988i	−0.192351	−	0.981326i	$-0.561611\pi$
$29$	−0.467997	+	0.0705393i	−0.0869049	+	0.0130988i	0.105446	+	0.994425i	$0.466373\pi$
$30$	4.80875	−	3.80828i	0.877953	−	0.695294i
$31$	−2.14455	+	5.46422i	−0.385173	+	0.981404i	0.598450	+	0.801161i	$0.295784\pi$
$31$	−2.14455	+	5.46422i	−0.385173	+	0.981404i	−0.983622	+	0.180243i	$0.942312\pi$
$32$	−0.974928	+	0.222521i	−0.172345	+	0.0393365i
$33$	−14.9869	+	1.12311i	−2.60889	+	0.195509i
$34$	−1.05354	−	0.324974i	−0.180681	−	0.0557327i
$35$	2.38525	−	6.01754i	0.403182	−	1.01715i
$36$	−2.26271	+	3.91912i	−0.377118	+	0.653187i
$37$	7.44142	−	4.29631i	1.22336	−	0.706309i	0.257729	−	0.966217i	$-0.417026\pi$
$37$	7.44142	−	4.29631i	1.22336	−	0.706309i	0.965633	+	0.259909i	$0.0836925\pi$
$38$	0.576394	−	0.845414i	0.0935034	−	0.137144i
$39$	−2.43856	+	10.6840i	−0.390482	+	1.71081i
$40$	−1.85178	+	1.25336i	−0.292792	+	0.198173i
$41$	−2.49227	−	3.12521i	−0.389227	−	0.488076i	0.548155	−	0.836376i	$-0.315330\pi$
$41$	−2.49227	−	3.12521i	−0.389227	−	0.488076i	−0.937383	+	0.348301i	$0.886759\pi$
$42$			7.94124i			1.22536i
$43$	6.50869	−	0.798104i	0.992566	−	0.121710i
$43$	6.50869	−	0.798104i	0.992566	−	0.121710i
$44$	5.47852			0.825918
$45$	−1.54205	+	10.0009i	−0.229875	+	1.49085i
$46$	−0.172673	−	0.0260263i	−0.0254593	−	0.00383737i
$47$	5.91532	+	1.35013i	0.862838	+	0.196937i	0.630967	−	0.775809i	$-0.282658\pi$
$47$	5.91532	+	1.35013i	0.862838	+	0.196937i	0.231871	+	0.972747i	$0.425515\pi$
$48$	1.54533	−	2.26658i	0.223049	−	0.327152i
$49$	0.690020	+	1.19515i	0.0985743	+	0.170736i
$50$	−2.84451	+	4.11203i	−0.402275	+	0.581528i
$51$	2.72498	−	1.31228i	0.381573	−	0.183756i
$52$	1.17749	−	3.81734i	0.163289	−	0.529370i
$53$	−6.67295	+	0.500068i	−0.916599	+	0.0686896i	−0.524670	−	0.851306i	$-0.675811\pi$
$53$	−6.67295	+	0.500068i	−0.916599	+	0.0686896i	−0.391929	+	0.919995i	$0.628192\pi$
$54$	−0.931158	−	4.07967i	−0.126715	−	0.555173i
$55$	11.4186	−	4.43692i	1.53969	−	0.598274i
$56$	0.216331	−	2.88674i	0.0289084	−	0.385756i
$57$	0.418349	+	2.77556i	0.0554117	+	0.367632i
$58$	−0.321915	+	0.346941i	−0.0422695	+	0.0455556i
$59$	−13.2101	−	6.36163i	−1.71980	−	0.828213i	−0.989403	−	0.145192i	$-0.953620\pi$
$59$	−13.2101	−	6.36163i	−1.71980	−	0.828213i	−0.730399	−	0.683021i	$-0.760666\pi$
$60$	1.38520	−	5.97564i	0.178829	−	0.771452i
$61$	−5.02930	−	12.8144i	−0.643936	−	1.64072i	−0.761893	−	0.647703i	$-0.775730\pi$
$61$	−5.02930	−	12.8144i	−0.643936	−	1.64072i	0.117957	−	0.993019i	$-0.462366\pi$
$62$	1.73021	+	5.60921i	0.219737	+	0.712370i
$63$	−8.91047	−	9.60320i	−1.12261	−	1.20989i
$64$	−0.623490	+	0.781831i	−0.0779362	+	0.0977289i
$65$	−0.637377	−	8.90992i	−0.0790569	−	1.10514i
$66$	−11.0170	+	10.2223i	−1.35610	+	1.25828i
$67$	−4.01117	−	13.0039i	−0.490042	−	1.58868i	−0.776195	−	0.630493i	$-0.782853\pi$
$67$	−4.01117	−	13.0039i	−0.490042	−	1.58868i	0.286153	−	0.958184i	$-0.407623\pi$
$68$	−1.02631	+	0.402797i	−0.124458	+	0.0488463i
$69$	0.395798	−	0.269850i	0.0476485	−	0.0324862i
$70$	−1.88701	−	6.19188i	−0.225540	−	0.740071i
$71$	−9.71787	−	9.01686i	−1.15330	−	1.07010i	−0.996594	−	0.0824593i	$-0.973723\pi$
$71$	−9.71787	−	9.01686i	−1.15330	−	1.07010i	−0.156704	−	0.987646i	$-0.550087\pi$
$72$	0.674478	+	4.47487i	0.0794880	+	0.527368i
$73$	5.66895	+	0.424829i	0.663501	+	0.0497225i	0.402224	−	0.915541i	$-0.368237\pi$
$73$	5.66895	+	0.424829i	0.663501	+	0.0497225i	0.261277	+	0.965264i	$0.415856\pi$
$74$	3.13923	−	7.99864i	0.364929	−	0.929823i
$75$	−1.95241	−	13.5766i	−0.225445	−	1.56769i
$76$	−0.0764644	−	1.02035i	−0.00877107	−	0.117042i
$77$	−4.67464	+	15.1548i	−0.532724	+	1.72705i
$78$	4.75484	+	9.87353i	0.538380	+	1.11796i
$79$	−3.46099	+	5.99462i	−0.389392	+	0.674447i	−0.992368	−	0.123313i	$-0.960648\pi$
$79$	−3.46099	+	5.99462i	−0.389392	+	0.674447i	0.602976	+	0.797760i	$0.293982\pi$
$80$	−0.666323	+	2.13448i	−0.0744972	+	0.238642i
$81$	−1.73252	−	1.18121i	−0.192503	−	0.131246i
$82$	−3.89707	−	0.889481i	−0.430360	−	0.0982268i
$83$	0.450737	−	2.99045i	0.0494748	−	0.328244i	−0.950378	−	0.311097i	$-0.899304\pi$
$83$	0.450737	−	2.99045i	0.0494748	−	0.328244i	0.999853	−	0.0171470i	$-0.00545833\pi$
$84$	4.95128	+	6.20871i	0.540229	+	0.677426i
$85$	−1.81287	+	1.67071i	−0.196634	+	0.181214i
$86$	4.59109	−	4.68208i	0.495070	−	0.504882i
$87$		−	1.29833i		−	0.139196i
$88$	4.28328	−	3.41580i	0.456599	−	0.364126i
$89$	13.3826	+	2.01710i	1.41855	+	0.213812i	0.813125	−	0.582089i	$-0.197765\pi$
$89$	13.3826	+	2.01710i	1.41855	+	0.213812i	0.605426	+	0.795902i	$0.293003\pi$
$90$	5.02986	+	8.78050i	0.530194	+	0.925546i
$91$	9.55490	+	6.51442i	1.00163	+	0.682897i
$92$	−0.151228	+	0.0873118i	−0.0157667	+	0.00910288i
$93$	−13.9455	−	8.05143i	−1.44608	−	0.834894i
$94$	5.46658	−	2.63257i	0.563834	−	0.271528i
$95$	−0.985725	−	2.06473i	−0.101133	−	0.211837i
$96$	−0.205003	−	2.73558i	−0.0209231	−	0.279199i
$97$	8.16497	−	1.86360i	0.829027	−	0.189220i	0.213107	−	0.977029i	$-0.431642\pi$
$97$	8.16497	−	1.86360i	0.829027	−	0.189220i	0.615920	+	0.787809i	$0.288784\pi$
$98$	1.28464	+	0.504185i	0.129769	+	0.0509304i
$99$	1.85275	−	24.7232i	0.186209	−	2.48478i
$100$	0.339878	+	4.98843i	0.0339878	+	0.498843i
$101$	7.97613	+	7.40077i	0.793655	+	0.736404i	0.968721	−	0.248153i	$-0.0798235\pi$
$101$	7.97613	+	7.40077i	0.793655	+	0.736404i	−0.175066	+	0.984557i	$0.556014\pi$
$102$	1.31228	−	2.72498i	0.129935	−	0.269813i
$103$	5.69870	+	8.35845i	0.561509	+	0.823583i	0.997063	−	0.0765798i	$-0.0244000\pi$
$103$	5.69870	+	8.35845i	0.561509	+	0.823583i	−0.435554	+	0.900162i	$0.643448\pi$
$104$	−1.45947	−	3.71867i	−0.143113	−	0.364646i
$105$	15.3480	+	8.93059i	1.49781	+	0.871536i
$106$	−4.90533	+	4.55148i	−0.476448	+	0.442079i
$107$	−12.0533	−	9.61218i	−1.16524	−	0.929244i	−0.166847	−	0.985983i	$-0.553358\pi$
$107$	−12.0533	−	9.61218i	−1.16524	−	0.929244i	−0.998389	+	0.0567385i	$0.981930\pi$
$108$	−3.27164	−	2.60905i	−0.314814	−	0.251056i
$109$	7.91805	−	7.34688i	0.758412	−	0.703703i	−0.202890	−	0.979202i	$-0.565033\pi$
$109$	7.91805	−	7.34688i	0.758412	−	0.703703i	0.961302	+	0.275498i	$0.0888428\pi$
$110$	6.16106	−	10.5883i	0.587434	−	1.00956i
$111$	8.61170	+	21.9423i	0.817386	+	2.08267i
$112$	−1.63072	−	2.39182i	−0.154088	−	0.226006i
$113$	−4.50455	+	9.35380i	−0.423753	+	0.879932i	0.574365	+	0.818600i	$0.305249\pi$
$113$	−4.50455	+	9.35380i	−0.423753	+	0.879932i	−0.998117	+	0.0613320i	$0.980465\pi$
$114$	2.05761	+	1.90919i	0.192713	+	0.178812i
$115$	−0.244486	+	0.304456i	−0.0227985	+	0.0283907i
$116$	−0.0353685	+	0.471960i	−0.00328389	+	0.0438204i
$117$	−16.8285	−	6.60471i	−1.55580	−	0.610606i
$118$	−14.2944	+	3.26261i	−1.31591	+	0.300348i
$119$	−0.238510	−	3.18269i	−0.0218642	−	0.291757i
$120$	−2.64275	−	5.53560i	−0.241249	−	0.505329i
$121$	−17.1312	+	8.24995i	−1.55738	+	0.749996i
$122$	−11.9217	−	6.88302i	−1.07934	−	0.623159i
$123$	9.49646	−	5.48278i	0.856267	−	0.494366i
$124$	4.85002	+	3.30669i	0.435544	+	0.296949i
$125$	4.74840	+	10.1219i	0.424710	+	0.905330i
$126$	−12.9540	−	1.95250i	−1.15403	−	0.173942i
$127$	−9.86865	+	7.86999i	−0.875701	+	0.698348i	−0.954394	−	0.298551i	$-0.903497\pi$
$127$	−9.86865	+	7.86999i	−0.875701	+	0.698348i	0.0786927	+	0.996899i	$0.474925\pi$
$128$			1.00000i			0.0883883i
$129$	−0.496197	+	17.9818i	−0.0436877	+	1.58321i
$130$	−6.05357	−	6.56866i	−0.530933	−	0.576110i
$131$	2.11880	+	2.65689i	0.185120	+	0.232134i	0.865728	−	0.500514i	$-0.166856\pi$
$131$	2.11880	+	2.65689i	0.185120	+	0.232134i	−0.680608	+	0.732648i	$0.738284\pi$
$132$	−2.23995	+	14.8611i	−0.194962	+	1.29349i
$133$	2.88775	+	0.659110i	0.250400	+	0.0571521i
$134$	−11.2438	−	7.66592i	−0.971320	−	0.662235i
$135$	−8.93192	−	2.78829i	−0.768737	−	0.239978i
$136$	−0.551262	+	0.954813i	−0.0472703	+	0.0818746i
$137$	−4.05593	−	8.42222i	−0.346521	−	0.719559i	0.652756	−	0.757568i	$-0.273613\pi$
$137$	−4.05593	−	8.42222i	−0.346521	−	0.719559i	−0.999277	+	0.0380094i	$0.987898\pi$
$138$	0.141198	−	0.457754i	0.0120196	−	0.0389666i
$139$	−0.713681	−	9.52341i	−0.0605336	−	0.807765i	−0.942020	−	0.335556i	$-0.891076\pi$
$139$	−0.713681	−	9.52341i	−0.0605336	−	0.807765i	0.881487	−	0.472209i	$-0.156543\pi$
$140$	−5.33590	−	3.66448i	−0.450966	−	0.309705i
$141$	−6.08092	+	15.4939i	−0.512106	+	1.30482i
$142$	−13.2197	−	0.990676i	−1.10937	−	0.0831357i
$143$	3.26190	+	21.6413i	0.272774	+	1.80973i
$144$	3.31736	+	3.07806i	0.276447	+	0.256505i
$145$	0.308512	+	1.01233i	0.0256205	+	0.0840692i
$146$	4.69704	−	3.20239i	0.388730	−	0.265032i
$147$	−3.52410	+	1.38311i	−0.290663	+	0.114077i
$148$	−2.53272	−	8.21087i	−0.208188	−	0.674929i
$149$	−1.95680	+	1.81564i	−0.160307	+	0.148743i	−0.756248	−	0.654285i	$-0.772970\pi$
$149$	−1.95680	+	1.81564i	−0.160307	+	0.148743i	0.595941	+	0.803028i	$0.296779\pi$
$150$	−9.99131	−	9.39729i	−0.815787	−	0.767285i
$151$	4.52497	−	5.67413i	0.368237	−	0.461754i	−0.562846	−	0.826562i	$-0.690294\pi$
$151$	4.52497	−	5.67413i	0.368237	−	0.461754i	0.931083	+	0.364807i	$0.118865\pi$
$152$	−0.695958	−	0.750065i	−0.0564497	−	0.0608383i
$153$	1.47064	+	4.76771i	0.118894	+	0.385446i
$154$	5.79409	+	14.7631i	0.466901	+	1.18964i
$155$	12.7867	+	2.96406i	1.02705	+	0.238079i
$156$	9.87353	+	4.75484i	0.790515	+	0.380692i
$157$	−11.2852	+	12.1625i	−0.900654	+	0.970674i	−0.999702	−	0.0244087i	$-0.992230\pi$
$157$	−11.2852	+	12.1625i	−0.900654	+	0.970674i	0.0990482	+	0.995083i	$0.468420\pi$
$158$	1.03167	+	6.84467i	0.0820751	+	0.544533i
$159$	1.37181	−	18.3055i	0.108792	−	1.45172i
$160$	0.809875	+	2.08425i	0.0640262	+	0.164775i
$161$	−0.112486	−	0.492831i	−0.00886510	−	0.0388406i
$162$	−2.09102	+	0.156700i	−0.164286	+	0.0123115i
$163$	−5.61098	+	18.1904i	−0.439486	+	1.42478i	0.417140	+	0.908842i	$0.363032\pi$
$163$	−5.61098	+	18.1904i	−0.439486	+	1.42478i	−0.856627	+	0.515937i	$0.827444\pi$
$164$	−3.60144	+	1.73436i	−0.281225	+	0.135431i
$165$	7.36701	+	32.7883i	0.573521	+	2.55257i
$166$	−1.51211	−	2.61905i	−0.117363	−	0.203278i
$167$	7.66463	−	11.2419i	0.593107	−	0.869928i	−0.405926	−	0.913906i	$-0.633051\pi$
$167$	7.66463	−	11.2419i	0.593107	−	0.869928i	0.999032	+	0.0439782i	$0.0140032\pi$
$168$	7.74213	+	1.76709i	0.597319	+	0.136334i
$169$	2.92556	+	0.440957i	0.225043	+	0.0339198i
$170$	−0.375688	+	2.43652i	−0.0288140	+	0.186873i
$171$	−4.63044			−0.354099
$172$	0.670225	−	6.52310i	0.0511042	−	0.497382i
$173$		−	2.67717i		−	0.203542i	−0.994808	−	0.101771i	$-0.967549\pi$
$173$		−	2.67717i		−	0.203542i	0.994808	−	0.101771i	$-0.0324509\pi$
$174$	−0.809498	−	1.01508i	−0.0613679	−	0.0769529i
$175$	−14.0891	−	3.31628i	−1.06504	−	0.250688i
$176$	1.21909	−	5.34116i	0.0918921	−	0.402605i
$177$	22.6577	−	33.2327i	1.70305	−	2.49792i
$178$	11.7206	−	6.76687i	0.878493	−	0.507198i
$179$	−8.09503	+	14.0210i	−0.605051	+	1.04798i	0.386992	+	0.922083i	$0.373514\pi$
$179$	−8.09503	+	14.0210i	−0.605051	+	1.04798i	−0.992043	+	0.125896i	$0.959819\pi$
$180$	9.40706	+	3.72881i	0.701161	+	0.277929i
$181$	−3.71737	−	1.14666i	−0.276310	−	0.0852302i	0.153503	−	0.988148i	$-0.450944\pi$
$181$	−3.71737	−	1.14666i	−0.276310	−	0.0852302i	−0.429813	+	0.902918i	$0.641421\pi$
$182$	11.5320	−	0.864203i	0.854808	−	0.0640590i
$183$	36.8169	−	8.40321i	2.72158	−	0.621183i
$184$	−0.0637972	+	0.162552i	−0.00470319	+	0.0119835i
$185$	−11.9286	−	15.0623i	−0.877008	−	1.10740i
$186$	−15.9230	+	2.40001i	−1.16753	+	0.175977i
$187$	4.10838	−	4.42778i	0.300434	−	0.323791i
$188$	2.63257	−	5.46658i	0.192000	−	0.398691i
$189$	10.0088	−	6.82387i	0.728032	−	0.496363i
$190$	−2.05801	−	0.999684i	−0.149304	−	0.0725247i
$191$	−14.7153	+	4.53908i	−1.06476	+	0.328436i	−0.777153	−	0.629311i	$-0.783337\pi$
$191$	−14.7153	+	4.53908i	−1.06476	+	0.328436i	−0.287610	+	0.957747i	$0.592861\pi$
$192$	−1.86588	−	2.01094i	−0.134658	−	0.145127i
$193$	9.77999	+	7.79928i	0.703979	+	0.561404i	0.908717	−	0.417412i	$-0.137063\pi$
$193$	9.77999	+	7.79928i	0.703979	+	0.561404i	−0.204738	+	0.978817i	$0.565634\pi$
$194$	5.22170	−	6.54780i	0.374896	−	0.470105i
$195$	24.4297	+	1.91396i	1.74945	+	0.137061i
$196$	1.31873	−	0.406774i	0.0941949	−	0.0290553i
$197$	13.4569	−	5.28143i	0.958761	−	0.376286i	0.166209	−	0.986090i	$-0.446847\pi$
$197$	13.4569	−	5.28143i	0.958761	−	0.376286i	0.792552	+	0.609804i	$0.208752\pi$
$198$	−13.9662	−	20.4846i	−0.992531	−	1.45578i
$199$	0.789617	+	0.380259i	0.0559744	+	0.0269559i	0.461662	−	0.887056i	$-0.347253\pi$
$199$	0.789617	+	0.380259i	0.0559744	+	0.0269559i	−0.405687	+	0.914012i	$0.632968\pi$
$200$	3.37597	+	3.68820i	0.238717	+	0.260795i
$201$	36.9144	−	5.56396i	2.60374	−	0.392451i
$202$	10.8503	+	0.813117i	0.763424	+	0.0572107i
$203$	−1.27537	−	0.500545i	−0.0895132	−	0.0351314i
$204$	−0.673014	−	2.94867i	−0.0471204	−	0.206448i
$205$	−6.10168	+	6.53156i	−0.426160	+	0.456184i
$206$	9.66683	+	2.98182i	0.673520	+	0.207753i
$207$	0.342874	+	0.711985i	0.0238314	+	0.0494864i
$208$	−3.45962	−	1.99741i	−0.239881	−	0.138496i
$209$	2.80283	+	4.85465i	0.193876	+	0.335803i
$210$	17.5677	−	2.58710i	1.21228	−	0.178527i
$211$	−2.17167	+	9.51472i	−0.149504	+	0.655021i	0.843519	+	0.537100i	$0.180480\pi$
$211$	−2.17167	+	9.51472i	−0.149504	+	0.655021i	−0.993023	+	0.117921i	$0.962377\pi$
$212$	−0.997340	+	6.61692i	−0.0684976	+	0.454452i
$213$	28.4325	−	22.6741i	1.94816	−	1.55361i
$214$	−15.4167			−1.05387
$215$	−3.88598	−	14.1386i	−0.265021	−	0.964243i
$216$	−4.18459			−0.284725
$217$	−13.2854	+	10.5947i	−0.901870	+	0.719218i
$218$	1.60988	−	10.6808i	0.109035	−	0.723398i
$219$	−3.47020	+	15.2040i	−0.234495	+	1.02739i
$220$	−1.78479	−	12.1196i	−0.120331	−	0.817106i
$221$	−2.20219	−	3.81431i	−0.148135	−	0.256578i
$222$	20.4137	+	11.7858i	1.37008	+	0.791014i
$223$	5.72996	+	11.8984i	0.383707	+	0.796775i	0.999957	+	0.00922518i	$0.00293651\pi$
$223$	5.72996	+	11.8984i	0.383707	+	0.796775i	−0.616251	+	0.787550i	$0.711349\pi$
$224$	−2.76622	−	0.853266i	−0.184826	−	0.0570112i
$225$	22.6265	+	0.153223i	1.50844	+	0.0102149i
$226$	2.31020	+	10.1216i	0.153672	+	0.673281i
$227$	−17.9622	−	7.04966i	−1.19220	−	0.467902i	−0.315489	−	0.948929i	$-0.602169\pi$
$227$	−17.9622	−	7.04966i	−1.19220	−	0.467902i	−0.876706	+	0.481027i	$0.840264\pi$
$228$	2.79907	+	0.209761i	0.185373	+	0.0138918i
$229$	−11.7506	+	1.77112i	−0.776502	+	0.117039i	−0.525324	−	0.850902i	$-0.676056\pi$
$229$	−11.7506	+	1.77112i	−0.776502	+	0.117039i	−0.251178	+	0.967941i	$0.580818\pi$
$230$	−0.00132208	+	0.390468i	−8.71752e−5	+	0.0257467i
$231$	−39.1978	−	18.8767i	−2.57902	−	1.24199i
$232$	0.266610	+	0.391045i	0.0175038	+	0.0256734i
$233$	−9.85974	+	3.86966i	−0.645933	+	0.253510i	−0.665614	−	0.746296i	$-0.731830\pi$
$233$	−9.85974	+	3.86966i	−0.645933	+	0.253510i	0.0196808	+	0.999806i	$0.493735\pi$
$234$	−17.2751	+	5.32865i	−1.12931	+	0.348345i
$235$	1.05968	−	13.5258i	0.0691260	−	0.882324i
$236$	−9.14164	+	11.4633i	−0.595070	+	0.746194i
$237$	−14.8460	−	11.8393i	−0.964350	−	0.769044i
$238$	−2.17085	−	2.33962i	−0.140715	−	0.151655i
$239$	−2.87636	+	0.887239i	−0.186056	+	0.0573907i	−0.386383	−	0.922338i	$-0.626276\pi$
$239$	−2.87636	+	0.887239i	−0.186056	+	0.0573907i	0.200327	+	0.979729i	$0.435800\pi$
$240$	−5.51758	−	2.68018i	−0.356158	−	0.173005i
$241$	15.4740	−	10.5500i	0.996767	−	0.679584i	0.0490834	−	0.998795i	$-0.484370\pi$
$241$	15.4740	−	10.5500i	0.996767	−	0.679584i	0.947684	+	0.319210i	$0.103418\pi$
$242$	−8.24995	+	17.1312i	−0.530327	+	1.10124i
$243$	12.4513	−	13.4193i	0.798748	−	0.860846i
$244$	−13.6123	+	2.05172i	−0.871437	+	0.131348i
$245$	2.41913	−	1.91582i	0.154552	−	0.122398i
$246$	4.00617	−	10.2076i	0.255424	−	0.650810i
$247$	3.98505	−	0.909562i	0.253563	−	0.0578740i
$248$	5.85358	−	0.438665i	0.371703	−	0.0278553i
$249$	7.92762	+	2.44535i	0.502393	+	0.154968i
$250$	10.0233	+	4.95303i	0.633932	+	0.313257i
$251$	5.38059	−	9.31945i	0.339620	−	0.588239i	−0.644741	−	0.764401i	$-0.723035\pi$
$251$	5.38059	−	9.31945i	0.339620	−	0.588239i	0.984361	+	0.176162i	$0.0563683\pi$
$252$	−11.3452	+	6.55015i	−0.714680	+	0.412621i
$253$	0.538916	−	0.790445i	0.0338814	−	0.0496949i
$254$	−2.80877	+	12.3060i	−0.176238	+	0.772147i
$255$	−3.79078	−	5.60070i	−0.237388	−	0.350730i
$256$	0.623490	+	0.781831i	0.0389681	+	0.0488645i
$257$			17.2480i			1.07590i	0.842977	+	0.537950i	$0.180801\pi$
$257$			17.2480i			1.07590i	−0.842977	+	0.537950i	$0.819199\pi$
$258$	10.8236	+	14.3681i	0.673845	+	0.894521i
$259$	24.8742			1.54560
$260$	−8.82836	−	1.36125i	−0.547512	−	0.0844210i
$261$	2.11788	+	0.319219i	0.131094	+	0.0197592i
$262$	3.31309	+	0.756191i	0.204683	+	0.0467176i
$263$	2.89984	−	4.25329i	0.178812	−	0.262269i	−0.726360	−	0.687314i	$-0.758790\pi$
$263$	2.89984	−	4.25329i	0.178812	−	0.262269i	0.905172	+	0.425045i	$0.139742\pi$
$264$	7.51447	+	13.0155i	0.462484	+	0.801046i
$265$	3.28017	+	14.5990i	0.201499	+	0.896812i
$266$	2.66868	−	1.28517i	0.163627	−	0.0787988i
$267$	−10.9432	+	35.4770i	−0.669713	+	2.17116i
$268$	−13.5704	+	1.01696i	−0.828945	+	0.0621208i
$269$	1.15939	+	5.07962i	0.0706892	+	0.309710i	0.997896	−	0.0648411i	$-0.0206541\pi$
$269$	1.15939	+	5.07962i	0.0706892	+	0.309710i	−0.927206	+	0.374551i	$0.877797\pi$
$270$	−8.72173	+	3.38899i	−0.530787	+	0.206247i
$271$	−1.71013	+	22.8201i	−0.103883	+	1.38622i	0.665006	+	0.746838i	$0.268429\pi$
$271$	−1.71013	+	22.8201i	−0.103883	+	1.38622i	−0.768889	+	0.639383i	$0.779190\pi$
$272$	0.164323	+	1.09021i	0.00996352	+	0.0661036i
$273$	−21.5777	+	23.2552i	−1.30594	+	1.40747i
$274$	−8.42222	−	4.05593i	−0.508805	−	0.245027i
$275$	−13.5353	−	23.8149i	−0.816212	−	1.43609i
$276$	−0.175011	−	0.445922i	−0.0105345	−	0.0268413i
$277$	−4.02263	−	13.0410i	−0.241696	−	0.783560i	−0.992414	−	0.122938i	$-0.960768\pi$
$277$	−4.02263	−	13.0410i	−0.241696	−	0.783560i	0.750718	−	0.660623i	$-0.229708\pi$
$278$	−6.49573	−	7.00073i	−0.389588	−	0.419876i
$279$	16.5625	−	20.7687i	0.991570	−	1.24339i
$280$	−6.45654	+	0.461872i	−0.385852	+	0.0276022i
$281$	15.7159	−	14.5822i	0.937531	−	0.869902i	−0.0541615	−	0.998532i	$-0.517249\pi$
$281$	15.7159	−	14.5822i	0.937531	−	0.869902i	0.991693	+	0.128630i	$0.0410581\pi$
$282$	4.90605	+	15.9050i	0.292151	+	0.947131i
$283$	20.5441	−	8.06296i	1.22122	−	0.479293i	0.334850	−	0.942271i	$-0.391314\pi$
$283$	20.5441	−	8.06296i	1.22122	−	0.479293i	0.886370	+	0.462978i	$0.153219\pi$
$284$	−10.9532	+	7.46778i	−0.649954	+	0.443131i
$285$	6.00384	−	1.82970i	0.355637	−	0.108382i
$286$	16.0434	+	14.8861i	0.948664	+	0.880232i
$287$	−1.72464	−	11.4422i	−0.101802	−	0.675414i
$288$	4.51276	+	0.338185i	0.265917	+	0.0199277i
$289$	5.76670	−	14.6933i	0.339218	−	0.864313i
$290$	0.872380	+	0.599116i	0.0512279	+	0.0351813i
$291$	1.71689	+	22.9103i	0.100646	+	1.34303i
$292$	1.67564	−	5.43229i	0.0980593	−	0.317901i
$293$	−9.85270	−	20.4593i	−0.575601	−	1.19525i	−0.962034	−	0.272930i	$-0.912007\pi$
$293$	−9.85270	−	20.4593i	−0.575601	−	1.19525i	0.386433	−	0.922317i	$-0.373707\pi$
$294$	−1.89290	+	3.27859i	−0.110396	+	0.191211i
$295$	−9.76967	+	31.2959i	−0.568812	+	1.82212i
$296$	−7.09955	−	4.84039i	−0.412653	−	0.281342i
$297$	22.3506	+	5.10137i	1.29691	+	0.296011i
$298$	−0.397851	+	2.63957i	−0.0230469	+	0.152906i
$299$	−0.434940	−	0.545398i	−0.0251532	−	0.0315412i
$300$	−13.6706	−	1.11761i	−0.789274	−	0.0645255i
$301$	17.4724	+	7.41993i	1.00710	+	0.427678i
$302$		−	7.25749i		−	0.417621i
$303$	−23.3365	+	18.6102i	−1.34065	+	1.06913i
$304$	−1.01178	−	0.152501i	−0.0580295	−	0.00874655i
$305$	−26.7098	+	15.3006i	−1.52940	+	0.876107i
$306$	4.12241	+	2.81061i	0.235663	+	0.160672i
$307$	16.6261	−	9.59906i	0.948899	−	0.547847i	0.0561606	−	0.998422i	$-0.482114\pi$
$307$	16.6261	−	9.59906i	0.948899	−	0.547847i	0.892739	+	0.450574i	$0.148781\pi$
$308$	13.7346	+	7.92969i	0.782603	+	0.451836i
$309$	−25.0032	+	12.0409i	−1.42238	+	0.684983i
$310$	11.8451	−	5.65496i	0.672755	−	0.321180i
$311$	−1.08992	−	14.5440i	−0.0618037	−	0.824713i	−0.938854	−	0.344315i	$-0.888111\pi$
$311$	−1.08992	−	14.5440i	−0.0618037	−	0.824713i	0.877051	−	0.480398i	$-0.159508\pi$
$312$	10.6840	−	2.43856i	0.604864	−	0.138056i
$313$	12.6544	+	4.96650i	0.715271	+	0.280723i	0.694938	−	0.719070i	$-0.255432\pi$
$313$	12.6544	+	4.96650i	0.715271	+	0.280723i	0.0203336	+	0.999793i	$0.493527\pi$
$314$	−1.23989	+	16.5452i	−0.0699712	+	0.933701i
$315$	−18.3414	+	22.8403i	−1.03342	+	1.28691i
$316$	5.07417	+	4.70815i	0.285445	+	0.264854i
$317$	2.94557	−	6.11654i	0.165440	−	0.343539i	−0.801724	−	0.597695i	$-0.796083\pi$
$317$	2.94557	−	6.11654i	0.165440	−	0.343539i	0.967163	+	0.254156i	$0.0817977\pi$
$318$	−10.3408	−	15.1672i	−0.579883	−	0.850532i
$319$	−0.947291	−	2.41366i	−0.0530381	−	0.135139i
$320$	1.93270	+	1.12458i	0.108041	+	0.0628662i
$321$	31.0022	−	28.7658i	1.73037	−	1.60555i
$322$	−0.395220	−	0.315178i	−0.0220248	−	0.0175642i
$323$	−0.881993	−	0.703366i	−0.0490754	−	0.0391363i
$324$	−1.53712	+	1.42624i	−0.0853956	+	0.0792356i
$325$	−19.5030	+	4.31269i	−1.08183	+	0.239225i
$326$	6.95466	+	17.7202i	0.385183	+	0.981430i
$327$	16.6918	+	24.4824i	0.923060	+	1.35388i
$328$	−1.73436	+	3.60144i	−0.0957640	+	0.198856i
$329$	12.8755	+	11.9467i	0.709848	+	0.658643i
$330$	26.2029	+	21.0417i	1.44242	+	1.15831i
$331$	−0.403408	+	5.38311i	−0.0221733	+	0.295882i	0.975082	+	0.221844i	$0.0712077\pi$
$331$	−0.403408	+	5.38311i	−0.0221733	+	0.295882i	−0.997255	+	0.0740381i	$0.976411\pi$
$332$	−2.81517	−	1.10487i	−0.154503	−	0.0606378i
$333$	−37.9102	+	8.65275i	−2.07747	+	0.474168i
$334$	−1.01679	−	13.5681i	−0.0556363	−	0.742415i
$335$	−27.4605	+	13.1099i	−1.50033	+	0.716273i
$336$	7.15481	−	3.44557i	0.390327	−	0.187971i
$337$	1.70220	+	0.982768i	0.0927250	+	0.0535348i	0.545645	−	0.838016i	$-0.316285\pi$
$337$	1.70220	+	0.982768i	0.0927250	+	0.0535348i	−0.452921	+	0.891551i	$0.649618\pi$
$338$	2.56222	−	1.47930i	0.139367	−	0.0804634i
$339$	−23.5315	−	16.0435i	−1.27805	−	0.871362i
$340$	1.22542	+	2.13919i	0.0664579	+	0.116014i
$341$	−31.7997	−	4.79303i	−1.72205	−	0.259557i
$342$	−3.62022	+	2.88703i	−0.195759	+	0.156113i
$343$		−	16.2688i		−	0.878434i
$344$	−3.54308	−	5.51784i	−0.191030	−	0.297502i
$345$	−0.725909	−	0.787676i	−0.0390816	−	0.0424070i
$346$	−1.66919	−	2.09310i	−0.0897362	−	0.112526i
$347$	3.61582	−	23.9894i	0.194107	−	1.28782i	−0.653392	−	0.757020i	$-0.726654\pi$
$347$	3.61582	−	23.9894i	0.194107	−	1.28782i	0.847499	−	0.530797i	$-0.178107\pi$
$348$	−1.26578	−	0.288907i	−0.0678531	−	0.0154870i
$349$	16.9631	+	11.5652i	0.908014	+	0.619073i	0.924662	−	0.380788i	$-0.124347\pi$
$349$	16.9631	+	11.5652i	0.908014	+	0.619073i	−0.0166487	+	0.999861i	$0.505300\pi$
$350$	−13.0830	+	6.19165i	−0.699315	+	0.330957i
$351$	8.35834	−	14.4771i	0.446135	−	0.772729i
$352$	−2.37704	−	4.93598i	−0.126697	−	0.263088i
$353$	−4.28946	+	13.9061i	−0.228305	+	0.740146i	0.766850	+	0.641826i	$0.221823\pi$
$353$	−4.28946	+	13.9061i	−0.228305	+	0.740146i	−0.995155	+	0.0983195i	$0.968653\pi$
$354$	−3.00577	−	40.1092i	−0.159755	−	2.13178i
$355$	−16.7813	+	24.4355i	−0.890659	+	1.29690i
$356$	4.94443	−	12.5982i	0.262054	−	0.667704i
$357$	8.73092	+	0.654292i	0.462089	+	0.0346288i
$358$	2.41300	+	16.0092i	0.127531	+	0.846114i
$359$	2.53039	+	2.34786i	0.133549	+	0.123915i	0.744119	−	0.668047i	$-0.232869\pi$
$359$	2.53039	+	2.34786i	0.133549	+	0.123915i	−0.610570	+	0.791962i	$0.709060\pi$
$360$	9.67961	−	2.94991i	0.510160	−	0.155474i
$361$	−14.8335	+	10.1133i	−0.780711	+	0.532279i
$362$	−3.62128	+	1.42125i	−0.190330	+	0.0746992i
$363$	−15.3746	−	49.8433i	−0.806959	−	2.61610i
$364$	8.47725	−	7.86574i	0.444329	−	0.412277i
$365$	−0.907022	−	12.6793i	−0.0474757	−	0.663665i
$366$	23.5453	−	29.5248i	1.23073	−	1.54329i
$367$	8.15090	+	8.78458i	0.425474	+	0.458551i	0.909011	−	0.416772i	$-0.136839\pi$
$367$	8.15090	+	8.78458i	0.425474	+	0.458551i	−0.483537	+	0.875324i	$0.660648\pi$
$368$	0.0514712	+	0.166866i	0.00268312	+	0.00869847i
$369$	6.60880	+	16.8389i	0.344040	+	0.876601i
$370$	−18.7174	−	4.33884i	−0.973069	−	0.225566i
$371$	−17.4529	−	8.40485i	−0.906107	−	0.436358i
$372$	−10.9527	+	11.8042i	−0.567872	+	0.612021i
$373$	0.178295	+	1.18291i	0.00923176	+	0.0612487i	0.992972	−	0.118346i	$-0.0377593\pi$
$373$	0.178295	+	1.18291i	0.00923176	+	0.0612487i	−0.983741	+	0.179595i	$0.942521\pi$
$374$	0.451385	−	6.02331i	0.0233405	−	0.311458i
$375$	−29.3982	+	8.74212i	−1.51811	+	0.451441i
$376$	−1.35013	−	5.91532i	−0.0696278	−	0.305059i
$377$	−1.88540	+	0.141291i	−0.0971029	+	0.00727685i
$378$	3.57057	−	11.5755i	0.183650	−	0.595379i
$379$	25.4327	−	12.2477i	1.30639	−	0.629124i	0.354354	−	0.935111i	$-0.384701\pi$
$379$	25.4327	−	12.2477i	1.30639	−	0.629124i	0.952036	+	0.305987i	$0.0989865\pi$
$380$	−2.23231	+	0.501564i	−0.114515	+	0.0257297i
$381$	−17.3133	−	29.9875i	−0.886987	−	1.53631i
$382$	−8.67484	+	12.7236i	−0.443843	+	0.650999i
$383$	27.9533	+	6.38017i	1.42835	+	0.326011i	0.865650	−	0.500650i	$-0.166906\pi$
$383$	27.9533	+	6.38017i	1.42835	+	0.326011i	0.562700	+	0.826661i	$0.309763\pi$
$384$	−2.71261	−	0.408860i	−0.138427	−	0.0208645i
$385$	35.0485	+	5.40414i	1.78624	+	0.275420i
$386$	12.5091			0.636695
$387$	−29.2105	−	5.23058i	−1.48485	−	0.265885i
$388$		−	8.37495i		−	0.425174i
$389$	12.3439	+	15.4787i	0.625859	+	0.784802i	0.989156	−	0.146871i	$-0.0469202\pi$
$389$	12.3439	+	15.4787i	0.625859	+	0.784802i	−0.363297	+	0.931674i	$0.618349\pi$
$390$	20.2933	−	13.7353i	1.02759	−	0.695514i
$391$	−0.0428412	+	0.187700i	−0.00216657	+	0.00949237i
$392$	0.777404	−	1.14024i	0.0392648	−	0.0575910i
$393$	−8.07340	+	4.66118i	−0.407249	+	0.235125i
$394$	7.22808	−	12.5194i	0.364145	−	0.630718i
$395$	14.3889	+	5.70351i	0.723982	+	0.286975i
$396$	−23.6911	−	7.30774i	−1.19052	−	0.367228i
$397$	−18.9075	+	1.41692i	−0.948938	+	0.0711131i	−0.540198	−	0.841538i	$-0.681651\pi$
$397$	−18.9075	+	1.41692i	−0.948938	+	0.0711131i	−0.408740	+	0.912651i	$0.634032\pi$
$398$	0.854435	−	0.195019i	0.0428290	−	0.00977543i
$399$	−2.96859	+	7.56385i	−0.148616	+	0.378666i
$400$	4.93899	+	0.778674i	0.246950	+	0.0389337i
$401$	−36.1225	+	5.44459i	−1.80387	+	0.271890i	−0.963030	−	0.269394i	$-0.913177\pi$
$401$	−36.1225	+	5.44459i	−1.80387	+	0.271890i	−0.840840	+	0.541283i	$0.817939\pi$
$402$	25.3918	−	27.3659i	1.26643	−	1.36489i
$403$	−10.1744	+	21.1273i	−0.506823	+	1.05243i
$404$	8.99007	−	6.12933i	0.447273	−	0.304945i
$405$	−2.04867	+	4.21752i	−0.101799	+	0.209570i
$406$	−1.30921	+	0.403837i	−0.0649748	+	0.0200421i
$407$	32.0190	+	34.5083i	1.58712	+	1.71051i
$408$	−2.36465	−	1.88574i	−0.117067	−	0.0933582i
$409$	−6.98923	+	8.76421i	−0.345595	+	0.433363i	−0.924003	−	0.382385i	$-0.875103\pi$
$409$	−6.98923	+	8.76421i	−0.345595	+	0.433363i	0.578408	+	0.815748i	$0.303674\pi$
$410$	−0.698129	+	8.91091i	−0.0344781	+	0.440079i
$411$	24.5045	−	7.55863i	1.20872	−	0.372840i
$412$	9.41697	−	3.69589i	0.463941	−	0.182083i
$413$	−23.9096	−	35.0690i	−1.17652	−	1.72563i
$414$	0.711985	+	0.342874i	0.0349922	+	0.0168513i
$415$	−6.76233	−	0.0228964i	−0.331950	−	0.00112394i
$416$	−3.95020	+	0.595397i	−0.193675	+	0.0291918i
$417$	26.1251	+	1.95780i	1.27935	+	0.0958741i
$418$	5.21817	+	2.04798i	0.255229	+	0.100170i
$419$	−3.69593	−	16.1929i	−0.180558	−	0.791075i	−0.981365	−	0.192153i	$-0.938453\pi$
$419$	−3.69593	−	16.1929i	−0.180558	−	0.791075i	0.800807	−	0.598922i	$-0.204404\pi$
$420$	12.1219	−	12.9759i	0.591490	−	0.633161i
$421$	−32.9240	−	10.1557i	−1.60462	−	0.494959i	−0.642202	−	0.766535i	$-0.721979\pi$
$421$	−32.9240	−	10.1557i	−1.60462	−	0.494959i	−0.962417	+	0.271576i	$0.912455\pi$
$422$	4.23445	+	8.79293i	0.206130	+	0.428033i
$423$	−23.7791	−	13.7288i	−1.15618	−	0.667519i
$424$	3.34583	+	5.79514i	0.162488	+	0.281437i
$425$	4.28656	+	3.46617i	0.207929	+	0.168134i
$426$	8.09231	−	35.4547i	0.392074	−	1.71779i
$427$	5.93939	−	39.4053i	0.287427	−	1.90695i
$428$	−12.0533	+	9.61218i	−0.582618	+	0.464622i
$429$	−60.0380			−2.89866
$430$	−11.8534	−	8.63111i	−0.571623	−	0.416229i
$431$	17.1377			0.825494			0.412747	−	0.910846i	$-0.364569\pi$
$431$	17.1377			0.825494			0.412747	+	0.910846i	$0.364569\pi$
$432$	−3.27164	+	2.60905i	−0.157407	+	0.125528i
$433$	−0.833876	+	5.53240i	−0.0400735	+	0.265870i	−0.999891	−	0.0147541i	$-0.995303\pi$
$433$	−0.833876	+	5.53240i	−0.0400735	+	0.265870i	0.959818	+	0.280624i	$0.0905415\pi$
$434$	−3.78122	+	16.5666i	−0.181504	+	0.795222i
$435$	−2.87219	+	0.422972i	−0.137711	+	0.0202799i
$436$	−5.40074	−	9.35436i	−0.258649	−	0.447993i
$437$	−0.154738	−	0.0893381i	−0.00740213	−	0.00427362i
$438$	6.76640	+	14.0506i	0.323311	+	0.671362i
$439$	18.5127	+	5.71040i	0.883561	+	0.272543i	0.703144	−	0.711048i	$-0.251779\pi$
$439$	18.5127	+	5.71040i	0.883561	+	0.272543i	0.180417	+	0.983590i	$0.442255\pi$
$440$	−8.95188	−	8.36271i	−0.426764	−	0.398677i
$441$	−1.38970	−	6.08867i	−0.0661761	−	0.289937i
$442$	−4.09993	−	1.60910i	−0.195014	−	0.0765372i
$443$	6.36109	+	0.476698i	0.302225	+	0.0226486i	0.224979	−	0.974364i	$-0.427769\pi$
$443$	6.36109	+	0.476698i	0.302225	+	0.0226486i	0.0772453	+	0.997012i	$0.475388\pi$
$444$	23.3084	−	3.51318i	1.10617	−	0.166728i
$445$	0.102464	−	30.2622i	0.00485727	−	1.43457i
$446$	11.8984	+	5.72996i	0.563405	+	0.271322i
$447$	−4.12508	−	6.05037i	−0.195109	−	0.286173i
$448$	−2.69472	+	1.05760i	−0.127314	+	0.0499669i
$449$	12.5417	−	3.86859i	0.591878	−	0.182570i	0.0156753	−	0.999877i	$-0.495010\pi$
$449$	12.5417	−	3.86859i	0.591878	−	0.182570i	0.576202	+	0.817307i	$0.304534\pi$
$450$	17.7857	−	13.9876i	0.838425	−	0.659383i
$451$	13.6540	−	17.1215i	0.642940	−	0.806221i
$452$	8.11692	+	6.47303i	0.381788	+	0.304466i
$453$	13.5416	+	14.5944i	0.636241	+	0.685705i
$454$	−18.4388	+	5.68763i	−0.865377	+	0.266933i
$455$	11.2985	−	23.2597i	0.529680	−	1.09043i
$456$	2.31918	−	1.58119i	0.108606	−	0.0740461i
$457$	−16.2299	+	33.7017i	−0.759202	+	1.57650i	0.0567556	+	0.998388i	$0.481924\pi$
$457$	−16.2299	+	33.7017i	−0.759202	+	1.57650i	−0.815958	+	0.578111i	$0.803790\pi$
$458$	−8.08272	+	8.71110i	−0.377681	+	0.407043i
$459$	−4.56207	+	0.687622i	−0.212939	+	0.0320954i
$460$	0.242419	+	0.306104i	0.0113029	+	0.0142722i
$461$	11.3553	−	28.9328i	0.528868	−	1.34753i	−0.377878	−	0.925855i	$-0.623346\pi$
$461$	11.3553	−	28.9328i	0.528868	−	1.34753i	0.906746	−	0.421678i	$-0.138559\pi$
$462$	−42.4155	+	9.68105i	−1.97335	+	0.450403i
$463$	−23.1581	+	1.73546i	−1.07625	+	0.0806535i	−0.601038	−	0.799220i	$-0.705246\pi$
$463$	−23.1581	+	1.73546i	−1.07625	+	0.0806535i	−0.475208	+	0.879874i	$0.657627\pi$
$464$	0.452257	+	0.139503i	0.0209955	+	0.00647625i
$465$	−13.2683	+	33.4733i	−0.615302	+	1.55229i
$466$	−5.29596	+	9.17287i	−0.245331	+	0.424925i
$467$	17.6939	−	10.2156i	0.818775	−	0.472720i	−0.0312187	−	0.999513i	$-0.509939\pi$
$467$	17.6939	−	10.2156i	0.818775	−	0.472720i	0.849994	+	0.526793i	$0.176606\pi$
$468$	−10.1838	+	14.9369i	−0.470747	+	0.690460i
$469$	8.76603	−	38.4065i	0.404778	−	1.77345i
$470$	−7.60469	−	11.2356i	−0.350778	−	0.518258i
$471$	−28.3781	−	35.5850i	−1.30759	−	1.63967i
$472$			14.6621i			0.674876i
$473$	12.1975	+	33.7910i	0.560840	+	1.55371i
$474$	−18.9887			−0.872181
$475$	−4.24649	+	2.85328i	−0.194842	+	0.130917i
$476$	−3.15597	−	0.475686i	−0.144654	−	0.0218030i
$477$	29.5233	+	6.73849i	1.35178	+	0.308534i
$478$	−1.69564	+	2.48705i	−0.0775569	+	0.113755i
$479$	10.5873	+	18.3377i	0.483745	+	0.837870i	0.999826	−	0.0186695i	$-0.00594303\pi$
$479$	10.5873	+	18.3377i	0.483745	+	0.837870i	−0.516081	+	0.856540i	$0.672610\pi$
$480$	−5.98488	+	1.34471i	−0.273171	+	0.0613772i
$481$	30.9266	−	14.8935i	1.41013	−	0.679084i
$482$	5.52024	−	17.8962i	0.251440	−	0.815149i
$483$	1.38285	−	0.103630i	0.0629218	−	0.00471534i
$484$	4.23106	+	18.5375i	0.192321	+	0.842613i
$485$	−6.78266	−	17.4555i	−0.307985	−	0.792613i
$486$	1.36801	−	18.2548i	0.0620542	−	0.828056i
$487$	−1.11824	−	7.41902i	−0.0506721	−	0.336188i	−0.999775	−	0.0212208i	$-0.993245\pi$
$487$	−1.11824	−	7.41902i	−0.0506721	−	0.336188i	0.949103	−	0.314967i	$-0.101993\pi$
$488$	−9.36329	+	10.0912i	−0.423856	+	0.456808i
$489$	−47.0492	−	22.6577i	−2.12764	−	1.02462i
$490$	0.696852	−	3.00615i	0.0314805	−	0.135804i
$491$	13.6069	+	34.6697i	0.614070	+	1.56462i	0.811529	+	0.584313i	$0.198636\pi$
$491$	13.6069	+	34.6697i	0.614070	+	1.56462i	−0.197459	+	0.980311i	$0.563269\pi$
$492$	−3.23216	−	10.4784i	−0.145717	−	0.472403i
$493$	0.354918	+	0.382511i	0.0159847	+	0.0172274i
$494$	2.54854	−	3.19576i	0.114664	−	0.143784i
$495$	−55.2966	+	3.95567i	−2.48540	+	0.177794i
$496$	4.30301	−	3.99261i	0.193211	−	0.179274i
$497$	−11.3115	−	36.6710i	−0.507391	−	1.64492i
$498$	7.72271	−	3.03094i	0.346063	−	0.135820i
$499$	−31.4835	+	21.4651i	−1.40940	+	0.960909i	−0.410601	+	0.911815i	$0.634681\pi$
$499$	−31.4835	+	21.4651i	−1.40940	+	0.960909i	−0.998794	+	0.0490941i	$0.984367\pi$
$500$	10.9247	−	2.37702i	0.488569	−	0.106303i
$501$	27.3612	+	25.3875i	1.22241	+	1.13423i
$502$	−1.60387	−	10.6410i	−0.0715842	−	0.474930i
$503$	10.2397	+	0.767360i	0.456566	+	0.0342149i	0.301029	−	0.953615i	$-0.402670\pi$
$503$	10.2397	+	0.767360i	0.456566	+	0.0342149i	0.155538	+	0.987830i	$0.450289\pi$
$504$	−4.78608	+	12.1947i	−0.213189	+	0.543196i
$505$	13.7736	−	20.0559i	0.612916	−	0.892475i
$506$	−0.0714927	−	0.954004i	−0.00317824	−	0.0424106i
$507$	−2.39229	+	7.75560i	−0.106245	+	0.344438i
$508$	5.47669	+	11.3725i	0.242989	+	0.504571i
$509$	0.417795	−	0.723642i	0.0185184	−	0.0320749i	−0.856618	−	0.515952i	$-0.827438\pi$
$509$	0.417795	−	0.723642i	0.0185184	−	0.0320749i	0.875136	+	0.483877i	$0.160772\pi$
$510$	−6.45573	−	2.01529i	−0.285865	−	0.0892387i
$511$	13.5971	+	9.27037i	0.601502	+	0.410097i
$512$	0.974928	+	0.222521i	0.0430861	+	0.00983413i
$513$	0.638155	−	4.23388i	0.0281752	−	0.186930i
$514$	10.7539	+	13.4850i	0.474336	+	0.594798i
$515$	16.6341	−	15.3297i	0.732987	−	0.675508i
$516$	17.4206	+	4.48509i	0.766898	+	0.197445i
$517$			33.2406i			1.46192i
$518$	19.4474	−	15.5088i	0.854470	−	0.681417i
$519$	7.26212	+	1.09459i	0.318772	+	0.0480471i
$520$	−7.75102	+	4.44013i	−0.339905	+	0.194713i
$521$	−11.4874	−	7.83198i	−0.503272	−	0.343125i	0.284923	−	0.958550i	$-0.408032\pi$
$521$	−11.4874	−	7.83198i	−0.503272	−	0.343125i	−0.788195	+	0.615425i	$0.788984\pi$
$522$	1.85486	−	1.07090i	0.0811848	−	0.0468721i
$523$	16.1401	+	9.31852i	0.705759	+	0.407470i	0.809489	−	0.587135i	$-0.199744\pi$
$523$	16.1401	+	9.31852i	0.705759	+	0.407470i	−0.103730	+	0.994606i	$0.533078\pi$
$524$	3.06175	−	1.47446i	0.133753	−	0.0644122i
$525$	14.7563	−	36.8624i	0.644016	−	1.60881i
$526$	−0.384693	−	5.13337i	−0.0167734	−	0.223826i
$527$	6.30955	−	1.44011i	0.274848	−	0.0627323i
$528$	13.9901	+	5.49069i	0.608839	+	0.238952i
$529$	1.71651	−	22.9053i	0.0746310	−	0.995882i
$530$	11.6669	+	9.36883i	0.506777	+	0.406956i
$531$	48.6393	+	45.1307i	2.11077	+	1.95851i
$532$	1.28517	−	2.66868i	0.0557192	−	0.115702i
$533$	−8.99536	−	13.1938i	−0.389632	−	0.571486i
$534$	13.5638	+	34.5600i	0.586963	+	1.49556i
$535$	−17.3374	+	29.7959i	−0.749562	+	1.28819i
$536$	−9.97571	+	9.25611i	−0.430885	+	0.399803i
$537$	−34.7238	−	27.6913i	−1.49844	−	1.19497i
$538$	4.07354	+	3.24854i	0.175623	+	0.140054i
$539$	−5.54230	+	5.14250i	−0.238724	+	0.221503i
$540$	−4.70592	+	8.08753i	−0.202511	+	0.348032i
$541$	−7.03793	−	17.9324i	−0.302584	−	0.770973i	−0.998598	−	0.0529435i	$-0.983140\pi$
$541$	−7.03793	−	17.9324i	−0.302584	−	0.770973i	0.696013	−	0.718029i	$-0.254956\pi$
$542$	12.8911	+	18.9077i	0.553718	+	0.812156i
$543$	4.63031	−	9.61494i	0.198706	−	0.412617i
$544$	0.808207	+	0.749906i	0.0346516	+	0.0321520i
$545$	−18.8324	−	15.1229i	−0.806690	−	0.647794i
$546$	−2.37072	+	31.6351i	−0.101458	+	1.35386i
$547$	−18.3291	−	7.19364i	−0.783696	−	0.307578i	−0.0604522	−	0.998171i	$-0.519254\pi$
$547$	−18.3291	−	7.19364i	−0.783696	−	0.307578i	−0.723243	+	0.690593i	$0.757350\pi$
$548$	−9.11358	+	2.08012i	−0.389313	+	0.0888581i
$549$	4.65546	+	62.1228i	0.198690	+	2.65134i
$550$	−25.4307	−	10.1801i	−1.08437	−	0.434080i
$551$	−0.436310	+	0.210116i	−0.0185874	+	0.00895124i
$552$	−0.414857	−	0.239518i	−0.0176575	−	0.0101946i
$553$	−17.3534	+	10.0190i	−0.737941	+	0.426051i
$554$	−11.2760	−	7.68783i	−0.479070	−	0.326625i
$555$	45.7353	−	26.1992i	1.94136	−	1.11210i
$556$	−9.44345	−	1.42337i	−0.400491	−	0.0603644i
$557$	5.70371	−	4.54856i	0.241674	−	0.192729i	−0.495161	−	0.868801i	$-0.664891\pi$
$557$	5.70371	−	4.54856i	0.241674	−	0.192729i	0.736835	+	0.676073i	$0.236319\pi$
$558$		−	26.5641i		−	1.12455i
$559$	26.1666	−	1.23631i	1.10673	−	0.0522903i
$560$	−4.75995	+	4.38669i	−0.201145	+	0.185372i
$561$	10.3311	+	12.9548i	0.436179	+	0.546951i
$562$	3.19531	−	21.1995i	0.134786	−	0.894248i
$563$	−29.2104	−	6.66709i	−1.23107	−	0.280984i	−0.442975	−	0.896534i	$-0.646077\pi$
$563$	−29.2104	−	6.66709i	−1.23107	−	0.280984i	−0.788098	+	0.615550i	$0.788934\pi$
$564$	13.7523	+	9.37618i	0.579078	+	0.394809i
$565$	22.1601	+	6.91773i	0.932280	+	0.291031i
$566$	11.0348	−	19.1129i	0.463829	−	0.803376i
$567$	−2.63372	−	5.46898i	−0.110606	−	0.229675i
$568$	−3.90749	+	12.6678i	−0.163955	+	0.531528i
$569$	0.763785	+	10.1920i	0.0320195	+	0.427271i	0.990061	+	0.140640i	$0.0449162\pi$
$569$	0.763785	+	10.1920i	0.0320195	+	0.427271i	−0.958041	+	0.286631i	$0.907465\pi$
$570$	3.55319	−	5.17385i	0.148827	−	0.216709i
$571$	−11.0809	+	28.2337i	−0.463722	+	1.18155i	0.487523	+	0.873110i	$0.337901\pi$
$571$	−11.0809	+	28.2337i	−0.463722	+	1.18155i	−0.951245	+	0.308435i	$0.900195\pi$
$572$	21.8245	+	1.63552i	0.912529	+	0.0683846i
$573$	−6.29623	−	41.7728i	−0.263029	−	1.74508i
$574$	−8.48250	−	7.87061i	−0.354053	−	0.328513i
$575$	0.753169	+	0.441669i	0.0314093	+	0.0184189i
$576$	3.73907	−	2.54926i	0.155795	−	0.106219i
$577$	−11.2398	+	4.41128i	−0.467917	+	0.183644i	−0.587572	−	0.809172i	$-0.699916\pi$
$577$	−11.2398	+	4.41128i	−0.467917	+	0.183644i	0.119655	+	0.992815i	$0.461821\pi$
$578$	−4.65255	−	15.0832i	−0.193520	−	0.627378i
$579$	−25.1550	+	23.3405i	−1.04541	+	0.969996i
$580$	1.05560	−	0.0755128i	0.0438313	−	0.00313550i
$581$	5.45841	−	6.84463i	0.226453	−	0.283963i
$582$	15.6267	+	16.8415i	0.647746	+	0.698105i
$583$	−10.8058	−	35.0317i	−0.447532	−	1.45086i
$584$	−2.07691	−	5.29188i	−0.0859431	−	0.218979i
$585$	−9.12860	+	39.3799i	−0.377421	+	1.62816i
$586$	−20.4593	−	9.85270i	−0.845167	−	0.407011i
$587$	−15.3295	+	16.5212i	−0.632714	+	0.681904i	−0.965292	−	0.261172i	$-0.915891\pi$
$587$	−15.3295	+	16.5212i	−0.632714	+	0.681904i	0.332578	+	0.943076i	$0.392082\pi$
$588$	0.564243	+	3.74351i	0.0232690	+	0.154380i
$589$	−0.448846	+	5.98943i	−0.0184944	+	0.246790i
$590$	11.8744	+	30.5594i	0.488863	+	1.25811i
$591$	8.82447	+	38.6625i	0.362990	+	1.59036i
$592$	−8.56859	+	0.642127i	−0.352167	+	0.0263913i
$593$	−6.79402	+	22.0257i	−0.278997	+	0.904486i	0.702283	+	0.711898i	$0.252164\pi$
$593$	−6.79402	+	22.0257i	−0.278997	+	0.904486i	−0.981280	+	0.192588i	$0.938312\pi$
$594$	20.6550	−	9.94693i	0.847486	−	0.408128i
$595$	−6.96308	+	1.56449i	−0.285458	+	0.0641379i
$596$	1.33469	+	2.31176i	0.0546712	+	0.0946933i
$597$	−1.35434	+	1.98645i	−0.0554293	+	0.0812999i
$598$	−0.680100	−	0.155228i	−0.0278114	−	0.00634776i
$599$	−0.351812	−	0.0530271i	−0.0143747	−	0.00216663i	0.141851	−	0.989888i	$-0.454695\pi$
$599$	−0.351812	−	0.0530271i	−0.0143747	−	0.00216663i	−0.156226	+	0.987721i	$0.549933\pi$
$600$	−11.3850	+	7.64971i	−0.464789	+	0.312298i
$601$	−5.50644			−0.224612			−0.112306	−	0.993674i	$-0.535824\pi$
$601$	−5.50644			−0.224612			−0.112306	+	0.993674i	$0.535824\pi$
$602$	18.2868	−	5.09276i	0.745313	−	0.207565i
$603$			61.5839i			2.50789i
$604$	−4.52497	−	5.67413i	−0.184118	−	0.230877i
$605$	23.8316	+	35.2101i	0.968893	+	1.43150i
$606$	−6.64192	+	29.1001i	−0.269809	+	1.18211i
$607$	−21.1439	+	31.0125i	−0.858206	+	1.25876i	0.106203	+	0.994344i	$0.466131\pi$
$607$	−21.1439	+	31.0125i	−0.858206	+	1.25876i	−0.964410	+	0.264413i	$0.914822\pi$
$608$	−0.886124	+	0.511604i	−0.0359371	+	0.0207483i
$609$	1.87923	−	3.25492i	0.0761502	−	0.131896i
$610$	−11.3428	+	28.6157i	−0.459257	+	1.15862i
$611$	23.1615	+	7.14438i	0.937015	+	0.289031i
$612$	4.97542	−	0.372856i	0.201120	−	0.0150718i
$613$	−29.3905	+	6.70819i	−1.18707	+	0.270941i	−0.770067	−	0.637963i	$-0.779777\pi$
$613$	−29.3905	+	6.70819i	−1.18707	+	0.270941i	−0.417004	+	0.908904i	$0.636920\pi$
$614$	7.01386	−	17.8710i	0.283056	−	0.721216i
$615$	−15.2228	−	19.2220i	−0.613843	−	0.775105i
$616$	15.6823	−	2.36372i	0.631856	−	0.0952370i
$617$	7.70538	−	8.30443i	0.310207	−	0.334324i	−0.558635	−	0.829414i	$-0.688675\pi$
$617$	7.70538	−	8.30443i	0.310207	−	0.334324i	0.868842	+	0.495090i	$0.164865\pi$
$618$	−12.0409	+	25.0032i	−0.484356	+	1.00578i
$619$	14.4003	−	9.81792i	0.578795	−	0.394616i	−0.238238	−	0.971207i	$-0.576570\pi$
$619$	14.4003	−	9.81792i	0.578795	−	0.394616i	0.817033	+	0.576591i	$0.195617\pi$
$620$	5.73504	−	11.8065i	0.230325	−	0.474161i
$621$	−0.698263	+	0.215386i	−0.0280203	+	0.00864313i
$622$	−9.92015	−	10.6914i	−0.397762	−	0.428685i
$623$	30.6305	+	24.4270i	1.22719	+	0.978647i
$624$	6.83269	−	8.56793i	0.273527	−	0.342992i
$625$	20.8448	−	13.8020i	0.833792	−	0.552079i
$626$	12.9902	−	4.00695i	0.519193	−	0.160150i
$627$	−14.3147	+	5.61812i	−0.571675	+	0.224366i
$628$	9.34639	+	13.7086i	0.372961	+	0.547034i
$629$	−8.53538	−	4.11042i	−0.340328	−	0.163893i
$630$	−0.0991826	+	29.2930i	−0.00395153	+	1.16706i
$631$	−41.7914	+	6.29905i	−1.66369	+	0.250761i	−0.912427	−	0.409240i	$-0.865794\pi$
$631$	−41.7914	+	6.29905i	−1.66369	+	0.250761i	−0.751264	+	0.660001i	$0.770556\pi$
$632$	6.90263	+	0.517281i	0.274572	+	0.0205763i
$633$	−24.9218	−	9.78109i	−0.990553	−	0.388763i
$634$	−1.51066	−	6.61863i	−0.0599960	−	0.262859i
$635$	20.6251	+	19.2676i	0.818481	+	0.764612i
$636$	−17.5413	−	5.41078i	−0.695559	−	0.214552i
$637$	2.39201	+	4.96705i	0.0947748	+	0.196802i
$638$	−2.24551	−	1.29645i	−0.0889007	−	0.0513268i
$639$	29.9961	+	51.9547i	1.18663	+	2.05530i
$640$	2.21221	−	0.325780i	0.0874452	−	0.0128776i
$641$	−3.62083	+	15.8639i	−0.143014	+	0.626586i	0.851711	+	0.524012i	$0.175565\pi$
$641$	−3.62083	+	15.8639i	−0.143014	+	0.626586i	−0.994725	+	0.102575i	$0.967292\pi$
$642$	6.30329	−	41.8196i	0.248771	−	1.65049i
$643$	33.2294	−	26.4995i	1.31044	−	1.04504i	0.315053	−	0.949074i	$-0.397978\pi$
$643$	33.2294	−	26.4995i	1.31044	−	1.04504i	0.995385	−	0.0959653i	$-0.0305938\pi$
$644$	−0.505506			−0.0199197
$645$	39.9412	−	4.76044i	1.57268	−	0.187442i
$646$	−1.12811			−0.0443849
$647$	−10.4346	+	8.32134i	−0.410228	+	0.327146i	−0.806764	−	0.590873i	$-0.798783\pi$
$647$	−10.4346	+	8.32134i	−0.410228	+	0.327146i	0.396537	+	0.918019i	$0.370212\pi$
$648$	−0.312524	+	2.07346i	−0.0122771	+	0.0814531i
$649$	17.8743	−	78.3124i	0.701628	−	3.07403i
$650$	−12.5591	+	15.5317i	−0.492609	+	0.609203i
$651$	−23.3075	−	40.3698i	−0.913494	−	1.58222i
$652$	16.4857	+	9.51804i	0.645631	+	0.372755i
$653$	13.3577	+	27.7375i	0.522726	+	1.08545i	0.980525	+	0.196396i	$0.0629238\pi$
$653$	13.3577	+	27.7375i	0.522726	+	1.08545i	−0.457799	+	0.889056i	$0.651362\pi$
$654$	28.3147	+	8.73394i	1.10719	+	0.341524i
$655$	5.18733	−	5.55279i	0.202686	−	0.216965i
$656$	0.889481	+	3.89707i	0.0347284	+	0.152155i
$657$	−23.9479	−	9.39887i	−0.934298	−	0.366685i
$658$	17.5151	+	1.31258i	0.682810	+	0.0511695i
$659$	−46.7178	+	7.04157i	−1.81987	+	0.274301i	−0.968272	−	0.249900i	$-0.919602\pi$
$659$	−46.7178	+	7.04157i	−1.81987	+	0.274301i	−0.851595	+	0.524201i	$0.824364\pi$
$660$	33.6056	+	0.113784i	1.30809	+	0.00442905i
$661$	7.54221	+	3.63214i	0.293358	+	0.141274i	0.574774	−	0.818312i	$-0.305090\pi$
$661$	7.54221	+	3.63214i	0.293358	+	0.141274i	−0.281416	+	0.959586i	$0.590804\pi$
$662$	3.04092	+	4.46021i	0.118189	+	0.173351i
$663$	11.2471	−	4.41417i	0.436802	−	0.171432i
$664$	−2.88987	+	0.891406i	−0.112149	+	0.0345932i
$665$	0.517317	−	6.60303i	0.0200607	−	0.256055i
$666$	−24.2445	+	30.4016i	−0.939454	+	1.17804i
$667$	0.0646156	+	0.0515292i	0.00250193	+	0.00199522i
$668$	−9.25455	−	9.97403i	−0.358069	−	0.385907i
$669$	−34.6184	+	10.6784i	−1.33843	+	0.412850i
$670$	−13.2956	+	27.3711i	−0.513654	+	1.05744i
$671$	62.3129	−	42.4842i	2.40556	−	1.64009i
$672$	3.44557	−	7.15481i	0.132916	−	0.276003i
$673$	22.0000	−	23.7104i	0.848038	−	0.913967i	−0.149157	−	0.988813i	$-0.547656\pi$
$673$	22.0000	−	23.7104i	0.848038	−	0.913967i	0.997195	+	0.0748462i	$0.0238466\pi$
$674$	1.94358	−	0.292948i	0.0748640	−	0.0112839i
$675$	−3.25843	+	20.6676i	−0.125417	+	0.795498i
$676$	1.08090	−	2.75409i	0.0415730	−	0.105926i
$677$	15.9528	−	3.64112i	0.613115	−	0.139939i	0.0953233	−	0.995446i	$-0.469612\pi$
$677$	15.9528	−	3.64112i	0.613115	−	0.139939i	0.517791	+	0.855507i	$0.326754\pi$
$678$	−28.4006	+	2.12833i	−1.09072	+	0.0817380i
$679$	23.1670	+	7.14606i	0.889066	+	0.274241i
$680$	2.29184	+	0.908447i	0.0878879	+	0.0348373i
$681$	26.4670	−	45.8422i	1.01422	−	1.75668i
$682$	−27.8504	+	16.0794i	−1.06645	+	0.615714i
$683$	5.93930	−	8.71136i	0.227261	−	0.333331i	−0.695624	−	0.718406i	$-0.744872\pi$
$683$	5.93930	−	8.71136i	0.227261	−	0.333331i	0.922885	+	0.385075i	$0.125824\pi$
$684$	−1.03037	+	4.51434i	−0.0393972	+	0.172610i
$685$	−17.3104	+	11.7163i	−0.661395	+	0.447659i
$686$	−10.1434	−	12.7195i	−0.387279	−	0.485632i
$687$		−	32.5989i		−	1.24373i
$688$	−6.21041	−	2.10495i	−0.236770	−	0.0802504i
$689$	−26.7320			−1.01841
$690$	−1.05865	−	0.163233i	−0.0403020	−	0.00621417i
$691$	−11.2560	−	1.69658i	−0.428200	−	0.0645408i	−0.0685933	−	0.997645i	$-0.521851\pi$
$691$	−11.2560	−	1.69658i	−0.428200	−	0.0645408i	−0.359607	+	0.933104i	$0.617089\pi$
$692$	−2.61005	−	0.595727i	−0.0992193	−	0.0226461i
$693$	40.4296	−	59.2994i	1.53579	−	2.25260i
$694$	−12.1302	−	21.0101i	−0.460455	−	0.797532i
$695$	−20.8353	+	4.68135i	−0.790327	+	0.177574i
$696$	−1.16976	+	0.563326i	−0.0443396	+	0.0213528i
$697$	−1.29902	+	4.21131i	−0.0492038	+	0.159515i
$698$	20.4731	−	1.53425i	0.774918	−	0.0580721i
$699$	−6.46563	−	28.3278i	−0.244553	−	1.07145i
$700$	−6.36826	+	12.9979i	−0.240698	+	0.491276i
$701$	−1.68040	+	22.4234i	−0.0634680	+	0.846922i	0.871093	+	0.491118i	$0.163412\pi$
$701$	−1.68040	+	22.4234i	−0.0634680	+	0.846922i	−0.934561	+	0.355803i	$0.884207\pi$
$702$	−2.49149	−	16.5300i	−0.0940353	−	0.623883i
$703$	5.98010	−	6.44502i	0.225544	−	0.243078i
$704$	−4.93598	−	2.37704i	−0.186032	−	0.0895881i
$705$	36.2569	+	8.40465i	1.36551	+	0.316537i
$706$	5.31666	+	13.5466i	0.200095	+	0.509834i
$707$	9.28415	+	30.0985i	0.349166	+	1.13197i
$708$	−27.3577	−	29.4846i	−1.02816	−	1.10810i
$709$	10.7857	−	13.5249i	0.405067	−	0.507938i	−0.536899	−	0.843647i	$-0.680404\pi$
$709$	10.7857	−	13.5249i	0.405067	−	0.507938i	0.941966	+	0.335709i	$0.108976\pi$
$710$	2.11512	+	29.5674i	0.0793791	+	1.10964i
$711$	22.9627	−	21.3063i	0.861170	−	0.799049i
$712$	−3.98914	−	12.9325i	−0.149499	−	0.484665i
$713$	0.954182	−	0.374489i	0.0357344	−	0.0140247i
$714$	7.23405	−	4.93209i	0.270728	−	0.184579i
$715$	46.8124	−	14.2663i	1.75068	−	0.533529i
$716$	11.8682	+	11.0120i	0.443534	+	0.411539i
$717$	−1.23070	−	8.16519i	−0.0459615	−	0.304935i
$718$	3.44221	+	0.257958i	0.128462	+	0.00962690i
$719$	−12.6446	+	32.2179i	−0.471563	+	1.20152i	0.475282	+	0.879834i	$0.342346\pi$
$719$	−12.6446	+	32.2179i	−0.471563	+	1.20152i	−0.946845	+	0.321690i	$0.895749\pi$
$720$	5.72858	−	8.34147i	0.213492	−	0.310868i
$721$	2.18846	+	29.2030i	0.0815025	+	1.08758i
$722$	−5.29175	+	17.1554i	−0.196939	+	0.638459i
$723$	22.2913	+	46.2883i	0.829022	+	1.72148i
$724$	−1.94510	+	3.36901i	−0.0722890	+	0.125208i
$725$	2.13897	−	1.01229i	0.0794395	−	0.0375955i
$726$	−43.0972	−	29.3832i	−1.59949	−	1.09051i
$727$	0.0379449	+	0.00866068i	0.00140730	+	0.000321207i	0.223225	−	0.974767i	$-0.428342\pi$
$727$	0.0379449	+	0.00866068i	0.00140730	+	0.000321207i	−0.221817	+	0.975088i	$0.571199\pi$
$728$	1.72357	−	11.4352i	0.0638799	−	0.423815i
$729$	27.3882	+	34.3438i	1.01438	+	1.27199i
$730$	−8.61456	−	9.34756i	−0.318839	−	0.345969i
$731$	−4.76941	−	5.43339i	−0.176403	−	0.200961i
$732$		−	37.7637i		−	1.39579i
$733$	−5.69207	+	4.53927i	−0.210241	+	0.167662i	−0.722949	−	0.690901i	$-0.757214\pi$
$733$	−5.69207	+	4.53927i	−0.210241	+	0.167662i	0.512708	+	0.858563i	$0.328642\pi$
$734$	11.8497	+	1.78606i	0.437381	+	0.0659246i
$735$	4.20780	+	7.34545i	0.155207	+	0.270941i
$736$	0.144281	+	0.0983690i	0.00531826	+	0.00362593i
$737$	64.5659	−	37.2771i	2.37832	−	1.37312i
$738$	15.6659	+	9.04470i	0.576669	+	0.332940i
$739$	20.3156	−	9.78347i	0.747321	−	0.359891i	−0.0211495	−	0.999776i	$-0.506733\pi$
$739$	20.3156	−	9.78347i	0.747321	−	0.359891i	0.768470	+	0.639886i	$0.221018\pi$
$740$	−17.3390	+	8.27784i	−0.637396	+	0.304299i
$741$	0.837958	+	11.1818i	0.0307831	+	0.410773i
$742$	−18.8855	+	4.31050i	−0.693310	+	0.158243i
$743$	27.3490	+	10.7337i	1.00334	+	0.393781i	0.809416	−	0.587235i	$-0.199784\pi$
$743$	27.3490	+	10.7337i	1.00334	+	0.393781i	0.193922	+	0.981017i	$0.437879\pi$
$744$	−1.20337	+	16.0578i	−0.0441176	+	0.588709i
$745$	4.65407	+	3.73735i	0.170512	+	0.136926i
$746$	0.876929	+	0.813671i	0.0321066	+	0.0297906i
$747$	−5.93807	+	12.3305i	−0.217263	+	0.451151i
$748$	−3.40257	−	4.99065i	−0.124410	−	0.182476i
$749$	−16.3047	−	41.5438i	−0.595762	−	1.51798i
$750$	−17.5338	+	25.1643i	−0.640243	+	0.918871i
$751$	−12.5697	+	11.6630i	−0.458675	+	0.425588i	−0.875367	−	0.483460i	$-0.839380\pi$
$751$	−12.5697	+	11.6630i	−0.458675	+	0.425588i	0.416691	+	0.909048i	$0.363190\pi$
$752$	−4.74372	−	3.78299i	−0.172986	−	0.137951i
$753$	23.0801	+	18.4058i	0.841087	+	0.670744i
$754$	−1.38597	+	1.28599i	−0.0504740	+	0.0468330i
$755$	−14.0265	−	8.16166i	−0.510477	−	0.297033i
$756$	−4.42562	−	11.2763i	−0.160958	−	0.410115i
$757$	7.58821	+	11.1299i	0.275798	+	0.404521i	0.938999	−	0.343920i	$-0.111755\pi$
$757$	7.58821	+	11.1299i	0.275798	+	0.404521i	−0.663201	+	0.748441i	$0.730803\pi$
$758$	12.2477	−	25.4327i	0.444858	−	0.923757i
$759$	1.92383	+	1.78505i	0.0698305	+	0.0647932i
$760$	−1.43257	+	1.78396i	−0.0519648	+	0.0647111i
$761$	0.519024	−	6.92590i	0.0188146	−	0.251064i	−0.979864	−	0.199667i	$-0.936014\pi$
$761$	0.519024	−	6.92590i	0.0188146	−	0.251064i	0.998678	−	0.0513962i	$-0.0163671\pi$
$762$	−32.2330	−	12.6505i	−1.16768	−	0.458280i
$763$	30.4845	−	6.95789i	1.10361	−	0.251893i
$764$	1.15080	+	15.3564i	0.0416347	+	0.555576i
$765$	10.0681	−	4.80660i	0.364012	−	0.173783i
$766$	25.8328	−	12.4404i	0.933376	−	0.449490i
$767$	−50.7251	−	29.2861i	−1.83158	−	1.05746i
$768$	−2.37572	+	1.37162i	−0.0857265	+	0.0494942i
$769$	2.53693	+	1.72965i	0.0914840	+	0.0623727i	0.608198	−	0.793785i	$-0.291893\pi$
$769$	2.53693	+	1.72965i	0.0914840	+	0.0623727i	−0.516714	+	0.856158i	$0.672845\pi$
$770$	30.7714	−	17.6272i	1.10893	−	0.635242i
$771$	−46.7870	−	7.05201i	−1.68499	−	0.253972i
$772$	9.77999	−	7.79928i	0.351989	−	0.280702i
$773$			19.0842i			0.686410i	0.939261	+	0.343205i	$0.111513\pi$
$773$			19.0842i			0.686410i	−0.939261	+	0.343205i	$0.888487\pi$
$774$	−26.0989	+	14.1230i	−0.938106	+	0.507642i
$775$	2.39147	−	29.2524i	0.0859041	−	1.05078i
$776$	−5.22170	−	6.54780i	−0.187448	−	0.235052i
$777$	−10.1700	+	67.4739i	−0.364848	+	2.42061i
$778$	19.3017	+	4.40548i	0.691998	+	0.157944i
$779$	−3.37937	−	2.30401i	−0.121078	−	0.0825499i
$780$	7.30210	−	23.3913i	0.261457	−	0.837544i
$781$	36.3136	−	62.8971i	1.29940	−	2.25063i
$782$	0.0835341	+	0.173460i	0.00298718	+	0.00620293i
$783$	−0.583761	+	1.89251i	−0.0208619	+	0.0676327i
$784$	−0.103131	−	1.37618i	−0.00368323	−	0.0491493i
$785$	30.5825	+	21.0028i	1.09154	+	0.749623i
$786$	−3.40584	+	8.67793i	−0.121482	+	0.309532i
$787$	32.6076	+	2.44360i	1.16234	+	0.0871050i	0.641895	−	0.766793i	$-0.278149\pi$
$787$	32.6076	+	2.44360i	1.16234	+	0.0871050i	0.520441	+	0.853898i	$0.325768\pi$
$788$	−2.15458	−	14.2947i	−0.0767537	−	0.509227i
$789$	10.3519	+	9.60513i	0.368536	+	0.341952i
$790$	14.8057	−	4.51213i	0.526765	−	0.160534i
$791$	−24.8317	+	16.9300i	−0.882915	+	0.601961i
$792$	−23.0788	+	9.05774i	−0.820068	+	0.321853i
$793$	−16.2094	−	52.5497i	−0.575614	−	1.86609i
$794$	−13.8990	+	12.8964i	−0.493258	+	0.457676i
$795$	−40.9426	+	2.92885i	−1.45208	+	0.103876i
$796$	0.546432	−	0.685204i	0.0193678	−	0.0242864i
$797$	−9.36606	−	10.0942i	−0.331763	−	0.357555i	0.545036	−	0.838413i	$-0.316516\pi$
$797$	−9.36606	−	10.0942i	−0.331763	−	0.357555i	−0.876799	+	0.480857i	$0.840326\pi$
$798$	2.39504	+	7.76454i	0.0847837	+	0.274862i
$799$	−2.44395	−	6.22708i	−0.0864607	−	0.220298i
$800$	4.34696	−	2.47062i	0.153688	−	0.0873496i
$801$	−55.1805	−	26.5735i	−1.94971	−	0.938930i
$802$	−24.8470	+	26.7787i	−0.877380	+	0.945590i
$803$	4.64186	+	30.7967i	0.163808	+	1.08679i
$804$	2.78978	−	37.2270i	0.0983879	−	1.31290i
$805$	−1.05360	+	0.409396i	−0.0371345	+	0.0144293i
$806$	5.21802	+	22.8617i	0.183797	+	0.805267i
$807$	−14.2530	+	1.06812i	−0.501731	+	0.0375995i
$808$	3.20715	−	10.3973i	0.112827	−	0.365776i
$809$	−34.4044	+	16.5683i	−1.20959	+	0.582509i	−0.926395	−	0.376552i	$-0.877110\pi$
$809$	−34.4044	+	16.5683i	−1.20959	+	0.582509i	−0.283198	+	0.959061i	$0.591395\pi$
$810$	1.02786	+	4.57471i	0.0361155	+	0.160739i
$811$	8.86499	+	15.3546i	0.311292	+	0.539173i	0.978642	−	0.205571i	$-0.0659050\pi$
$811$	8.86499	+	15.3546i	0.311292	+	0.539173i	−0.667351	+	0.744744i	$0.732572\pi$
$812$	−0.771791	+	1.13201i	−0.0270846	+	0.0397257i
$813$	−61.2028	−	13.9691i	−2.14647	−	0.489919i
$814$	46.5490	+	7.01614i	1.63154	+	0.245916i
$815$	42.0688	+	6.48661i	1.47361	+	0.227216i
$816$	−3.02450			−0.105879
$817$	6.12316	−	2.74334i	0.214222	−	0.0959773i
$818$			11.2099i			0.391943i
$819$	−32.6293	−	40.9159i	−1.14016	−	1.42972i
$820$	5.01004	+	7.40211i	0.174958	+	0.258493i
$821$	−5.08450	+	22.2767i	−0.177450	+	0.777461i	0.805352	+	0.592797i	$0.201977\pi$
$821$	−5.08450	+	22.2767i	−0.177450	+	0.777461i	−0.982802	+	0.184663i	$0.940881\pi$
$822$	14.4456	−	21.1879i	0.503850	−	0.739012i
$823$	−45.1538	+	26.0696i	−1.57396	+	0.908728i	−0.578287	+	0.815833i	$0.696279\pi$
$823$	−45.1538	+	26.0696i	−1.57396	+	0.908728i	−0.995676	+	0.0928944i	$0.970388\pi$
$824$	5.05813	−	8.76094i	0.176208	−	0.305202i
$825$	70.1346	−	26.9791i	2.44177	−	0.939293i
$826$	−40.5585	−	12.5106i	−1.41121	−	0.435301i
$827$	15.4579	−	1.15841i	0.537522	−	0.0402817i	0.196796	−	0.980444i	$-0.436946\pi$
$827$	15.4579	−	1.15841i	0.537522	−	0.0402817i	0.340726	+	0.940163i	$0.389327\pi$
$828$	0.770431	−	0.175846i	0.0267743	−	0.00611106i
$829$	11.6079	−	29.5765i	0.403160	−	1.02724i	−0.574772	−	0.818314i	$-0.694909\pi$
$829$	11.6079	−	29.5765i	0.403160	−	1.02724i	0.977932	−	0.208922i	$-0.0669955\pi$
$830$	−5.30128	+	4.19834i	−0.184010	+	0.145727i
$831$	37.0199	−	5.57986i	1.28421	−	0.193563i
$832$	−2.71717	+	2.92841i	−0.0942009	+	0.101524i
$833$	0.660166	−	1.37085i	0.0228734	−	0.0474971i
$834$	21.6461	−	14.7581i	0.749543	−	0.511029i
$835$	−27.3665	−	13.2934i	−0.947057	−	0.460036i
$836$	5.35662	−	1.65230i	0.185263	−	0.0571460i
$837$	16.7074	+	18.0063i	0.577493	+	0.622389i
$838$	−12.9857	−	10.3558i	−0.448584	−	0.357734i
$839$	−23.6306	+	29.6319i	−0.815820	+	1.02301i	0.183381	+	0.983042i	$0.441296\pi$
$839$	−23.6306	+	29.6319i	−0.815820	+	1.02301i	−0.999201	+	0.0399639i	$0.987276\pi$
$840$	1.38694	−	17.7029i	0.0478540	−	0.610808i
$841$	−27.4976	+	8.48188i	−0.948192	+	0.292478i
$842$	−32.0730	+	12.5877i	−1.10531	+	0.433802i
$843$	33.1302	+	48.5931i	1.14107	+	1.67364i
$844$	8.79293	+	4.23445i	0.302665	+	0.145756i
$845$	0.0223996	−	6.61560i	0.000770570	−	0.227583i
$846$	−27.1510	+	4.09236i	−0.933471	+	0.140698i
$847$	−54.8890	−	4.11336i	−1.88601	−	0.141337i
$848$	6.22909	+	2.44474i	0.213908	+	0.0839526i
$849$	13.4720	+	59.0247i	0.462358	+	2.02572i
$850$	5.51249	+	0.0373297i	0.189077	+	0.00128040i
$851$	−1.43381	−	0.442272i	−0.0491504	−	0.0151609i
$852$	−15.7788	−	32.7651i	−0.540574	−	1.12251i
$853$	−14.2831	−	8.24638i	−0.489045	−	0.282351i	0.235133	−	0.971963i	$-0.424447\pi$
$853$	−14.2831	−	8.24638i	−0.489045	−	0.282351i	−0.724178	+	0.689613i	$0.757781\pi$
$854$	−19.9252	−	34.5114i	−0.681825	−	1.18096i
$855$	1.50851	+	10.2435i	0.0515898	+	0.350320i
$856$	−3.43055	+	15.0302i	−0.117254	+	0.513722i
$857$	−7.58185	+	50.3023i	−0.258991	+	1.71829i	0.360049	+	0.932933i	$0.382760\pi$
$857$	−7.58185	+	50.3023i	−0.258991	+	1.71829i	−0.619040	+	0.785359i	$0.712478\pi$
$858$	−46.9396	+	37.4331i	−1.60249	+	1.27794i
$859$	−11.1267			−0.379637			−0.189819	−	0.981819i	$-0.560790\pi$
$859$	−11.1267			−0.379637			−0.189819	+	0.981819i	$0.560790\pi$
$860$	−14.6488	+	0.642418i	−0.499520	+	0.0219063i
$861$	31.7435			1.08181
$862$	13.3988	−	10.6852i	0.456365	−	0.363939i
$863$	1.37155	−	9.09965i	0.0466881	−	0.309756i	−0.953282	−	0.302081i	$-0.902319\pi$
$863$	1.37155	−	9.09965i	0.0466881	−	0.309756i	0.999971	−	0.00767502i	$-0.00244306\pi$
$864$	−0.931158	+	4.07967i	−0.0316786	+	0.138793i
$865$	−5.92247	+	0.872170i	−0.201370	+	0.0296547i
$866$	2.79745	+	4.84532i	0.0950611	+	0.164651i
$867$	37.4995	+	21.6503i	1.27355	+	0.735284i
$868$	7.37283	+	15.3098i	0.250250	+	0.519650i
$869$	−36.2375	−	11.1778i	−1.22927	−	0.379180i
$870$	−1.98185	+	2.12147i	−0.0671909	+	0.0719246i
$871$	−12.0970	−	53.0004i	−0.409891	−	1.79585i
$872$	−10.0548	−	3.94623i	−0.340499	−	0.133636i
$873$	−37.7941	−	2.83228i	−1.27914	−	0.0958581i
$874$	−0.176681	+	0.0266303i	−0.00597631	+	0.000900784i
$875$	−2.74636	+	32.2485i	−0.0928438	+	1.09020i
$876$	14.0506	+	6.76640i	0.474725	+	0.228615i
$877$	21.2883	+	31.2243i	0.718856	+	1.05437i	0.995626	+	0.0934320i	$0.0297838\pi$
$877$	21.2883	+	31.2243i	0.718856	+	1.05437i	−0.276770	+	0.960936i	$0.589264\pi$
$878$	18.0342	−	7.07789i	0.608624	−	0.238867i
$879$	59.5265	−	18.3615i	2.00778	−	0.619318i
$880$	−12.2129	−	0.956826i	−0.411698	−	0.0322546i
$881$	−14.7462	+	18.4911i	−0.496811	+	0.622981i	−0.965507	−	0.260379i	$-0.916153\pi$
$881$	−14.7462	+	18.4911i	−0.496811	+	0.622981i	0.468696	+	0.883360i	$0.344724\pi$
$882$	−4.88273	−	3.89385i	−0.164410	−	0.131113i
$883$	−15.2373	−	16.4219i	−0.512776	−	0.552641i	0.422591	−	0.906321i	$-0.361121\pi$
$883$	−15.2373	−	16.4219i	−0.512776	−	0.552641i	−0.935367	+	0.353680i	$0.884930\pi$
$884$	−4.20871	+	1.29822i	−0.141554	+	0.0436637i
$885$	−80.8991	−	39.2969i	−2.71939	−	1.32095i
$886$	5.27052	−	3.59338i	0.177067	−	0.120722i
$887$	18.6655	−	38.7594i	0.626727	−	1.30141i	−0.309795	−	0.950803i	$-0.600260\pi$
$887$	18.6655	−	38.7594i	0.626727	−	1.30141i	0.936522	−	0.350609i	$-0.114025\pi$
$888$	16.0328	−	17.2793i	0.538026	−	0.579854i
$889$	−36.1318	+	5.44599i	−1.21182	+	0.182653i
$890$	−18.7881	−	23.7238i	−0.629777	−	0.795224i
$891$	4.19696	−	10.6937i	0.140604	−	0.358252i
$892$	12.8751	−	2.93866i	0.431091	−	0.0983936i
$893$	6.19090	−	0.463944i	0.207171	−	0.0155253i
$894$	−6.99746	−	2.15843i	−0.234030	−	0.0721887i
$895$	33.6546	+	13.3401i	1.12495	+	0.445911i
$896$	−1.44741	+	2.50700i	−0.0483547	+	0.0837529i
$897$	1.65728	−	0.956831i	0.0553350	−	0.0319477i
$898$	7.39344	−	10.8442i	0.246722	−	0.361875i
$899$	0.618201	−	2.70852i	0.0206182	−	0.0903341i
$900$	5.18426	−	22.0252i	0.172809	−	0.734172i
$901$	4.59993	+	5.76812i	0.153246	+	0.192164i
$902$		−	21.8993i		−	0.729165i
$903$	−27.2711	+	44.3622i	−0.907527	+	1.47628i
$904$	10.3819			0.345298
$905$	−1.32560	+	8.59715i	−0.0440643	+	0.285779i
$906$	19.6867	+	2.96730i	0.654048	+	0.0985818i
$907$	−11.5675	−	2.64021i	−0.384093	−	0.0876668i	0.0261143	−	0.999659i	$-0.491687\pi$
$907$	−11.5675	−	2.64021i	−0.384093	−	0.0876668i	−0.410208	+	0.911992i	$0.634544\pi$
$908$	−10.8699	+	15.9432i	−0.360730	+	0.529093i
$909$	−24.6199	−	42.6429i	−0.816589	−	1.41437i
$910$	−5.66869	−	25.2296i	−0.187915	−	0.836354i
$911$	−13.5027	+	6.50255i	−0.447364	+	0.215439i	−0.643982	−	0.765041i	$-0.722719\pi$
$911$	−13.5027	+	6.50255i	−0.447364	+	0.215439i	0.196617	+	0.980480i	$0.437004\pi$
$912$	0.827352	−	2.68221i	0.0273964	−	0.0888169i
$913$	16.5219	−	1.23815i	0.546797	−	0.0409767i
$914$	8.32364	+	36.4682i	0.275321	+	1.20626i
$915$	−30.5839	−	78.7090i	−1.01107	−	2.60204i
$916$	−0.888042	+	11.8501i	−0.0293417	+	0.391538i
$917$	1.46620	+	9.72759i	0.0484182	+	0.321233i
$918$	−3.13805	+	3.38201i	−0.103571	+	0.111623i
$919$	24.2379	+	11.6724i	0.799536	+	0.385036i	0.788602	−	0.614904i	$-0.210805\pi$
$919$	24.2379	+	11.6724i	0.799536	+	0.385036i	0.0109340	+	0.999940i	$0.496520\pi$
$920$	0.380384	+	0.0881762i	0.0125409	+	0.00290708i
$921$	19.2408	+	49.0247i	0.634005	+	1.61542i
$922$	−9.16137	−	29.7004i	−0.301714	−	0.978132i
$923$	−36.0208	−	38.8212i	−1.18564	−	1.27781i
$924$	−27.1257	+	34.0146i	−0.892370	+	1.11900i
$925$	−29.4349	+	31.2956i	−0.967814	+	1.02899i
$926$	−17.0237	+	15.7956i	−0.559432	+	0.519077i
$927$	−13.4940	−	43.7464i	−0.443200	−	1.43682i
$928$	0.440567	−	0.172910i	0.0144623	−	0.00567605i
$929$	22.8743	−	15.5954i	0.750482	−	0.511670i	−0.126634	−	0.991950i	$-0.540417\pi$
$929$	22.8743	−	15.5954i	0.750482	−	0.511670i	0.877115	+	0.480280i	$0.159465\pi$
$930$	10.4967	+	34.4431i	0.344201	+	1.12943i
$931$	1.03512	+	0.960450i	0.0339247	+	0.0314775i
$932$	1.57864	+	10.4736i	0.0517102	+	0.343075i
$933$	39.8977	+	2.98992i	1.30619	+	0.0978856i
$934$	7.46433	−	19.0188i	0.244240	−	0.622314i
$935$	−11.1336	−	7.64611i	−0.364108	−	0.250054i
$936$	1.35099	+	18.0277i	0.0441584	+	0.589253i
$937$	3.26913	−	10.5983i	0.106798	−	0.346230i	−0.886362	−	0.462993i	$-0.846776\pi$
$937$	3.26913	−	10.5983i	0.106798	−	0.346230i	0.993160	+	0.116763i	$0.0372517\pi$
$938$	−17.0925	−	35.4929i	−0.558090	−	1.15889i
$939$	−18.6461	+	32.2959i	−0.608492	+	1.05394i
$940$	−12.9508	−	4.04288i	−0.422410	−	0.131864i
$941$	−34.1956	−	23.3142i	−1.11474	−	0.760020i	−0.141533	−	0.989933i	$-0.545203\pi$
$941$	−34.1956	−	23.3142i	−1.11474	−	0.760020i	−0.973211	+	0.229913i	$0.926156\pi$
$942$	−44.3738	−	10.1280i	−1.44578	−	0.329989i
$943$	−0.104035	+	0.690225i	−0.00338784	+	0.0224768i
$944$	9.14164	+	11.4633i	0.297535	+	0.373097i
$945$	−18.3565	−	19.9184i	−0.597137	−	0.647946i
$946$	30.6047	+	18.8139i	0.995045	+	0.611692i
$947$			40.3854i			1.31235i	0.754609	+	0.656175i	$0.227827\pi$
$947$			40.3854i			1.31235i	−0.754609	+	0.656175i	$0.772173\pi$
$948$	−14.8460	+	11.8393i	−0.482175	+	0.384522i
$949$	22.4563	+	3.38474i	0.728963	+	0.109873i
$950$	−1.54105	+	4.87843i	−0.0499983	+	0.158277i
$951$	15.3874	+	10.4910i	0.498972	+	0.340193i
$952$	−2.76402	+	1.59581i	−0.0895825	+	0.0517205i
$953$	−1.81236	−	1.04636i	−0.0587080	−	0.0338951i	0.470359	−	0.882475i	$-0.344125\pi$
$953$	−1.81236	−	1.04636i	−0.0587080	−	0.0338951i	−0.529067	+	0.848580i	$0.677458\pi$
$954$	27.2836	−	13.1391i	0.883339	−	0.425394i
$955$	14.8353	+	31.0746i	0.480061	+	1.00555i
$956$	0.224944	+	3.00167i	0.00727521	+	0.0970810i
$957$	6.93462	−	1.58278i	0.224164	−	0.0511640i
$958$	19.7108	+	7.73593i	0.636828	+	0.249936i
$959$	2.02225	−	26.9851i	0.0653019	−	0.871394i
$960$	−3.84076	+	4.78285i	−0.123960	+	0.154366i
$961$	−2.53405	−	2.35125i	−0.0817434	−	0.0758468i
$962$	14.8935	−	30.9266i	0.480185	−	0.997114i
$963$	39.3012	+	57.6443i	1.26646	+	1.85756i
$964$	−6.84219	−	17.4336i	−0.220372	−	0.561499i
$965$	14.0675	−	24.1762i	0.452849	−	0.778260i
$966$	1.01654	−	0.943214i	0.0327067	−	0.0303474i
$967$	26.1049	+	20.8180i	0.839477	+	0.669460i	0.945757	−	0.324876i	$-0.105323\pi$
$967$	26.1049	+	20.8180i	0.839477	+	0.669460i	−0.106280	+	0.994336i	$0.533894\pi$
$968$	14.8659	+	11.8552i	0.477808	+	0.381039i
$969$	2.26857	−	2.10492i	0.0728769	−	0.0676199i
$970$	−16.1862	−	9.41834i	−0.519708	−	0.302405i
$971$	3.16154	+	8.05548i	0.101459	+	0.258513i	0.972586	−	0.232546i	$-0.0747055\pi$
$971$	3.16154	+	8.05548i	0.101459	+	0.258513i	−0.871127	+	0.491058i	$0.836610\pi$
$972$	−10.3121	−	15.1251i	−0.330762	−	0.485139i
$973$	11.9951	−	24.9081i	0.384546	−	0.798519i
$974$	−5.49995	−	5.10321i	−0.176230	−	0.163517i
$975$	−3.72465	−	54.6672i	−0.119284	−	1.75075i
$976$	−1.02874	+	13.7275i	−0.0329291	+	0.439408i
$977$	34.4573	+	13.5235i	1.10239	+	0.432656i	0.845603	−	0.533813i	$-0.179241\pi$
$977$	34.4573	+	13.5235i	1.10239	+	0.432656i	0.256786	+	0.966468i	$0.417337\pi$
$978$	−50.9114	+	11.6202i	−1.62797	+	0.371573i
$979$	5.54086	+	73.9376i	0.177087	+	2.36306i
$980$	−1.32948	−	2.78478i	−0.0424688	−	0.0889567i
$981$	−44.0404	+	21.2088i	−1.40610	+	0.677143i
$982$	32.2545	+	18.6222i	1.02928	+	0.594257i
$983$	25.4340	−	14.6843i	0.811219	−	0.468358i	−0.0361600	−	0.999346i	$-0.511513\pi$
$983$	25.4340	−	14.6843i	0.811219	−	0.468358i	0.847379	+	0.530988i	$0.178179\pi$
$984$	−9.06018	−	6.17712i	−0.288828	−	0.196920i
$985$	−16.0676	−	28.0488i	−0.511956	−	0.893709i
$986$	0.515978	+	0.0777712i	0.0164321	+	0.00247674i
$987$	−37.6710	+	30.0416i	−1.19908	+	0.956235i
$988$		−	4.08753i		−	0.130042i
$989$	−0.875228	−	0.738371i	−0.0278306	−	0.0234788i
$990$	−40.7663	+	37.5695i	−1.29564	+	1.19404i
$991$	−32.2831	−	40.4817i	−1.02551	−	1.28594i	−0.957553	−	0.288256i	$-0.906924\pi$
$991$	−32.2831	−	40.4817i	−1.02551	−	1.28594i	−0.0679536	−	0.997688i	$-0.521647\pi$
$992$	0.874877	−	5.80443i	0.0277774	−	0.184291i
$993$	−14.4373	−	3.29523i	−0.458155	−	0.104571i
$994$	−31.7077	−	21.6180i	−1.00571	−	0.685680i
$995$	0.583971	−	1.87068i	0.0185131	−	0.0593045i
$996$	4.14810	−	7.18472i	0.131438	−	0.227656i
$997$	−1.57924	−	3.27933i	−0.0500152	−	0.103858i	0.874464	−	0.485091i	$-0.161214\pi$
$997$	−1.57924	−	3.27933i	−0.0500152	−	0.103858i	−0.924479	+	0.381234i	$0.875499\pi$
$998$	−11.2315	+	36.4117i	−0.355528	+	1.15259i
$999$	−2.68704	−	35.8560i	−0.0850140	−	1.13443i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.t.a.9.12	yes	264
5.4	even	2	inner	430.2.t.a.9.11	✓	264
43.24	even	21	inner	430.2.t.a.239.11	yes	264
215.24	even	42	inner	430.2.t.a.239.12	yes	264

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.t.a.9.11	✓	264	5.4	even	2	inner
430.2.t.a.9.12	yes	264	1.1	even	1	trivial
430.2.t.a.239.11	yes	264	43.24	even	21	inner
430.2.t.a.239.12	yes	264	215.24	even	42	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.t (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.781831 - 0.623490i) q^{2} +(-0.408860 + 2.71261i) q^{3} +(0.222521 - 0.974928i) q^{4} +(-0.325780 - 2.21221i) q^{5} +(1.37162 + 2.37572i) q^{6} +(2.50700 + 1.44741i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-4.32436 - 1.33389i) q^{9} +O(q^{10})\)	\(q+(0.781831 - 0.623490i) q^{2} +(-0.408860 + 2.71261i) q^{3} +(0.222521 - 0.974928i) q^{4} +(-0.325780 - 2.21221i) q^{5} +(1.37162 + 2.37572i) q^{6} +(2.50700 + 1.44741i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-4.32436 - 1.33389i) q^{9} +(-1.63399 - 1.52645i) q^{10} +(1.21909 + 5.34116i) q^{11} +(2.55362 + 1.00222i) q^{12} +(3.98365 + 0.298533i) q^{13} +(2.86250 - 0.431452i) q^{14} +(6.13406 + 0.0207692i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-0.621074 - 0.910948i) q^{17} +(-4.21259 + 1.65332i) q^{18} +(0.977750 - 0.301596i) q^{19} +(-2.22924 - 0.174650i) q^{20} +(-4.95128 + 6.20871i) q^{21} +(4.28328 + 3.41580i) q^{22} +(-0.118774 - 0.128008i) q^{23} +(2.62137 - 0.808587i) q^{24} +(-4.78773 + 1.44139i) q^{25} +(3.30068 - 2.25036i) q^{26} +(1.81562 - 3.77018i) q^{27} +(1.96898 - 2.12206i) q^{28} +(-0.467997 + 0.0705393i) q^{29} +(4.80875 - 3.80828i) q^{30} +(-2.14455 + 5.46422i) q^{31} +(-0.974928 + 0.222521i) q^{32} +(-14.9869 + 1.12311i) q^{33} +(-1.05354 - 0.324974i) q^{34} +(2.38525 - 6.01754i) q^{35} +(-2.26271 + 3.91912i) q^{36} +(7.44142 - 4.29631i) q^{37} +(0.576394 - 0.845414i) q^{38} +(-2.43856 + 10.6840i) q^{39} +(-1.85178 + 1.25336i) q^{40} +(-2.49227 - 3.12521i) q^{41} +7.94124i q^{42} +(6.50869 - 0.798104i) q^{43} +5.47852 q^{44} +(-1.54205 + 10.0009i) q^{45} +(-0.172673 - 0.0260263i) q^{46} +(5.91532 + 1.35013i) q^{47} +(1.54533 - 2.26658i) q^{48} +(0.690020 + 1.19515i) q^{49} +(-2.84451 + 4.11203i) q^{50} +(2.72498 - 1.31228i) q^{51} +(1.17749 - 3.81734i) q^{52} +(-6.67295 + 0.500068i) q^{53} +(-0.931158 - 4.07967i) q^{54} +(11.4186 - 4.43692i) q^{55} +(0.216331 - 2.88674i) q^{56} +(0.418349 + 2.77556i) q^{57} +(-0.321915 + 0.346941i) q^{58} +(-13.2101 - 6.36163i) q^{59} +(1.38520 - 5.97564i) q^{60} +(-5.02930 - 12.8144i) q^{61} +(1.73021 + 5.60921i) q^{62} +(-8.91047 - 9.60320i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-0.637377 - 8.90992i) q^{65} +(-11.0170 + 10.2223i) q^{66} +(-4.01117 - 13.0039i) q^{67} +(-1.02631 + 0.402797i) q^{68} +(0.395798 - 0.269850i) q^{69} +(-1.88701 - 6.19188i) q^{70} +(-9.71787 - 9.01686i) q^{71} +(0.674478 + 4.47487i) q^{72} +(5.66895 + 0.424829i) q^{73} +(3.13923 - 7.99864i) q^{74} +(-1.95241 - 13.5766i) q^{75} +(-0.0764644 - 1.02035i) q^{76} +(-4.67464 + 15.1548i) q^{77} +(4.75484 + 9.87353i) q^{78} +(-3.46099 + 5.99462i) q^{79} +(-0.666323 + 2.13448i) q^{80} +(-1.73252 - 1.18121i) q^{81} +(-3.89707 - 0.889481i) q^{82} +(0.450737 - 2.99045i) q^{83} +(4.95128 + 6.20871i) q^{84} +(-1.81287 + 1.67071i) q^{85} +(4.59109 - 4.68208i) q^{86} -1.29833i q^{87} +(4.28328 - 3.41580i) q^{88} +(13.3826 + 2.01710i) q^{89} +(5.02986 + 8.78050i) q^{90} +(9.55490 + 6.51442i) q^{91} +(-0.151228 + 0.0873118i) q^{92} +(-13.9455 - 8.05143i) q^{93} +(5.46658 - 2.63257i) q^{94} +(-0.985725 - 2.06473i) q^{95} +(-0.205003 - 2.73558i) q^{96} +(8.16497 - 1.86360i) q^{97} +(1.28464 + 0.504185i) q^{98} +(1.85275 - 24.7232i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 264 q + 44 q^{4} + 4 q^{5} - 2 q^{6} - 6 q^{9}+O(q^{10}) \) 264 * q + 44 * q^4 + 4 * q^5 - 2 * q^6 - 6 * q^9	\( 264 q + 44 q^{4} + 4 q^{5} - 2 q^{6} - 6 q^{9} - 8 q^{11} + 10 q^{14} + 32 q^{15} - 44 q^{16} + 4 q^{19} - 4 q^{20} + 24 q^{21} + 2 q^{24} + 28 q^{25} - 12 q^{26} - 46 q^{29} - 36 q^{31} + 12 q^{34} - 68 q^{35} - 134 q^{36} - 64 q^{39} - 20 q^{41} + 8 q^{44} - 70 q^{45} + 112 q^{49} - 28 q^{50} - 28 q^{51} + 68 q^{54} - 30 q^{55} + 4 q^{56} - 40 q^{59} - 4 q^{60} + 20 q^{61} + 44 q^{64} + 18 q^{65} - 44 q^{66} + 32 q^{69} - 48 q^{70} + 20 q^{71} + 40 q^{74} + 122 q^{75} + 52 q^{76} + 16 q^{79} + 4 q^{80} - 16 q^{81} - 24 q^{84} + 120 q^{85} - 14 q^{86} - 142 q^{89} - 68 q^{90} - 4 q^{94} - 22 q^{95} - 2 q^{96} - 268 q^{99}+O(q^{100}) \) 264 * q + 44 * q^4 + 4 * q^5 - 2 * q^6 - 6 * q^9 - 8 * q^11 + 10 * q^14 + 32 * q^15 - 44 * q^16 + 4 * q^19 - 4 * q^20 + 24 * q^21 + 2 * q^24 + 28 * q^25 - 12 * q^26 - 46 * q^29 - 36 * q^31 + 12 * q^34 - 68 * q^35 - 134 * q^36 - 64 * q^39 - 20 * q^41 + 8 * q^44 - 70 * q^45 + 112 * q^49 - 28 * q^50 - 28 * q^51 + 68 * q^54 - 30 * q^55 + 4 * q^56 - 40 * q^59 - 4 * q^60 + 20 * q^61 + 44 * q^64 + 18 * q^65 - 44 * q^66 + 32 * q^69 - 48 * q^70 + 20 * q^71 + 40 * q^74 + 122 * q^75 + 52 * q^76 + 16 * q^79 + 4 * q^80 - 16 * q^81 - 24 * q^84 + 120 * q^85 - 14 * q^86 - 142 * q^89 - 68 * q^90 - 4 * q^94 - 22 * q^95 - 2 * q^96 - 268 * q^99

Introduction

L-functions

Modular forms

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