LMFDB - Embedded newform 185.2.v.a.104.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [185,2,Mod(4,185)] 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("185.4"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(185, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 1])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$185 = 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	185.v (of order $18$ , degree $6$ , 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:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$16$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			104.6
Character	$\chi$	$=$	185.104
Dual form			185.2.v.a.169.6

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.896403 + 0.326264i) q^{2} +(0.0971484 - 0.266913i) q^{3} +(-0.834998 + 0.700647i) q^{4} +(0.684633 - 2.12868i) q^{5} +0.270958i q^{6} +(-0.0783483 + 0.0138149i) q^{7} +(1.47383 - 2.55275i) q^{8} +(2.23633 + 1.87650i) q^{9} +(0.0808050 + 2.13153i) q^{10} +(2.24001 - 3.87981i) q^{11} +(0.105893 + 0.290938i) q^{12} +(0.642880 - 0.539440i) q^{13} +(0.0657244 - 0.0379460i) q^{14} +(-0.501661 - 0.389535i) q^{15} +(-0.109719 + 0.622249i) q^{16} +(3.63394 + 3.04924i) q^{17} +(-2.61689 - 0.952469i) q^{18} +(0.698848 - 1.92007i) q^{19} +(0.919785 + 2.25713i) q^{20} +(-0.00392403 + 0.0222543i) q^{21} +(-0.742109 + 4.20871i) q^{22} +(0.00227321 + 0.00393731i) q^{23} +(-0.538182 - 0.641381i) q^{24} +(-4.06256 - 2.91473i) q^{25} +(-0.400280 + 0.693304i) q^{26} +(1.45608 - 0.840670i) q^{27} +(0.0557413 - 0.0664299i) q^{28} +(-0.499013 - 0.288105i) q^{29} +(0.576782 + 0.185507i) q^{30} -5.06627i q^{31} +(0.919048 + 5.21218i) q^{32} +(-0.817959 - 0.974805i) q^{33} +(-4.25234 - 1.54772i) q^{34} +(-0.0242322 + 0.176237i) q^{35} -3.18209 q^{36} +(-4.06070 + 4.52888i) q^{37} +1.94917i q^{38} +(-0.0815288 - 0.223999i) q^{39} +(-4.42496 - 4.88501i) q^{40} +(-4.55042 + 3.81825i) q^{41} +(-0.00374326 - 0.0212291i) q^{42} +1.01783 q^{43} +(0.847972 + 4.80909i) q^{44} +(5.52554 - 3.47571i) q^{45} +(-0.00332232 - 0.00278775i) q^{46} +(-6.88975 + 3.97780i) q^{47} +(0.155427 + 0.0897359i) q^{48} +(-6.57190 + 2.39198i) q^{49} +(4.59266 + 1.28730i) q^{50} +(1.16691 - 0.673718i) q^{51} +(-0.158846 + 0.900863i) q^{52} +(-0.788285 - 0.138996i) q^{53} +(-1.03096 + 1.22865i) q^{54} +(-6.72529 - 7.42451i) q^{55} +(-0.0802061 + 0.220365i) q^{56} +(-0.444599 - 0.373063i) q^{57} +(0.541315 + 0.0954485i) q^{58} +(7.84732 + 1.38369i) q^{59} +(0.691813 - 0.0262262i) q^{60} +(-2.86116 - 3.40979i) q^{61} +(1.65294 + 4.54142i) q^{62} +(-0.201136 - 0.116126i) q^{63} +(-3.15623 - 5.46676i) q^{64} +(-0.708159 - 1.73780i) q^{65} +(1.05127 + 0.606948i) q^{66} +(3.19314 - 0.563037i) q^{67} -5.17077 q^{68} +(0.00127176 - 0.000224245i) q^{69} +(-0.0357778 - 0.165885i) q^{70} +(5.63810 + 2.05210i) q^{71} +(8.08622 - 2.94314i) q^{72} +9.38629i q^{73} +(2.16241 - 5.38456i) q^{74} +(-1.17265 + 0.801188i) q^{75} +(0.761753 + 2.09290i) q^{76} +(-0.121902 + 0.334922i) q^{77} +(0.146165 + 0.174193i) q^{78} +(-6.85173 + 1.20814i) q^{79} +(1.24945 + 0.659569i) q^{80} +(1.43787 + 8.15459i) q^{81} +(2.83325 - 4.90733i) q^{82} +(9.01103 - 10.7389i) q^{83} +(-0.0123158 - 0.0213316i) q^{84} +(8.97877 - 5.64789i) q^{85} +(-0.912382 + 0.332080i) q^{86} +(-0.125377 + 0.105204i) q^{87} +(-6.60280 - 11.4364i) q^{88} +(10.5904 + 1.86737i) q^{89} +(-3.81911 + 4.91843i) q^{90} +(-0.0429162 + 0.0511455i) q^{91} +(-0.00465679 - 0.00169493i) q^{92} +(-1.35225 - 0.492180i) q^{93} +(4.87818 - 5.81359i) q^{94} +(-3.60876 - 2.80217i) q^{95} +(1.48048 + 0.261049i) q^{96} +(3.54321 + 6.13702i) q^{97} +(5.11066 - 4.28835i) q^{98} +(12.2899 - 4.47315i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$96 q - 12 q^{4} - 12 q^{5} - 6 q^{9} - 3 q^{10} - 30 q^{11} - 36 q^{14} - 21 q^{15} - 18 q^{19} - 39 q^{20} - 24 q^{21} + 96 q^{24} + 36 q^{25} + 48 q^{26} - 18 q^{29} - 30 q^{30} - 54 q^{34} + 6 q^{35}+ \cdots - 24 q^{99}+O(q^{100})$ 96 * q - 12 * q^4 - 12 * q^5 - 6 * q^9 - 3 * q^10 - 30 * q^11 - 36 * q^14 - 21 * q^15 - 18 * q^19 - 39 * q^20 - 24 * q^21 + 96 * q^24 + 36 * q^25 + 48 * q^26 - 18 * q^29 - 30 * q^30 - 54 * q^34 + 6 * q^35 + 24 * q^36 - 36 * q^39 - 63 * q^40 + 72 * q^41 - 84 * q^44 - 36 * q^45 - 18 * q^46 - 6 * q^49 - 27 * q^50 - 18 * q^51 + 24 * q^54 + 6 * q^55 + 90 * q^56 + 18 * q^59 + 108 * q^60 - 144 * q^61 + 66 * q^64 + 27 * q^65 - 36 * q^66 - 6 * q^69 - 66 * q^70 - 30 * q^71 - 6 * q^74 + 96 * q^75 - 54 * q^76 + 60 * q^79 - 18 * q^81 + 48 * q^84 + 21 * q^85 - 72 * q^86 + 108 * q^89 + 165 * q^90 - 54 * q^91 + 6 * q^94 + 57 * q^95 + 24 * q^96 - 24 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$ .

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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

)

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

$2$	−0.896403	+	0.326264i	−0.633853	+	0.230704i	−0.638907	−	0.769284i	$-0.720613\pi$
$2$	−0.896403	+	0.326264i	−0.633853	+	0.230704i	0.00505447	+	0.999987i	$0.498391\pi$
$3$	0.0971484	−	0.266913i	0.0560886	−	0.154102i	−0.908484	−	0.417920i	$-0.862759\pi$
$3$	0.0971484	−	0.266913i	0.0560886	−	0.154102i	0.964573	+	0.263817i	$0.0849816\pi$
$4$	−0.834998	+	0.700647i	−0.417499	+	0.350323i
$5$	0.684633	−	2.12868i	0.306177	−	0.951975i
$5$	0.684633	−	2.12868i	0.306177	−	0.951975i
$6$			0.270958i			0.110618i
$7$	−0.0783483	+	0.0138149i	−0.0296129	+	0.00522155i	−0.188435	−	0.982086i	$-0.560341\pi$
$7$	−0.0783483	+	0.0138149i	−0.0296129	+	0.00522155i	0.158822	+	0.987307i	$0.449230\pi$
$8$	1.47383	−	2.55275i	0.521078	−	0.902534i
$9$	2.23633	+	1.87650i	0.745443	+	0.625501i
$10$	0.0808050	+	2.13153i	0.0255528	+	0.674048i
$11$	2.24001	−	3.87981i	0.675389	−	1.16981i	−0.300967	−	0.953635i	$-0.597309\pi$
$11$	2.24001	−	3.87981i	0.675389	−	1.16981i	0.976355	−	0.216173i	$-0.0693574\pi$
$12$	0.105893	+	0.290938i	0.0305687	+	0.0839867i
$13$	0.642880	−	0.539440i	0.178303	−	0.149614i	−0.549268	−	0.835646i	$-0.685094\pi$
$13$	0.642880	−	0.539440i	0.178303	−	0.149614i	0.727571	+	0.686032i	$0.240649\pi$
$14$	0.0657244	−	0.0379460i	0.0175656	−	0.0101415i
$15$	−0.501661	−	0.389535i	−0.129528	−	0.100578i
$16$	−0.109719	+	0.622249i	−0.0274298	+	0.155562i
$17$	3.63394	+	3.04924i	0.881360	+	0.739549i	0.966458	−	0.256823i	$-0.0826759\pi$
$17$	3.63394	+	3.04924i	0.881360	+	0.739549i	−0.0850980	+	0.996373i	$0.527120\pi$
$18$	−2.61689	−	0.952469i	−0.616806	−	0.224499i
$19$	0.698848	−	1.92007i	0.160327	−	0.440494i	−0.833354	−	0.552740i	$-0.813582\pi$
$19$	0.698848	−	1.92007i	0.160327	−	0.440494i	0.993680	+	0.112246i	$0.0358045\pi$
$20$	0.919785	+	2.25713i	0.205670	+	0.504709i
$21$	−0.00392403	+	0.0222543i	−0.000856293	+	0.00485628i
$22$	−0.742109	+	4.20871i	−0.158218	+	0.897300i
$23$	0.00227321	+	0.00393731i	0.000473997	+	0.000820986i	0.866262	−	0.499589i	$-0.166516\pi$
$23$	0.00227321	+	0.00393731i	0.000473997	+	0.000820986i	−0.865788	+	0.500410i	$0.833182\pi$
$24$	−0.538182	−	0.641381i	−0.109856	−	0.130921i
$25$	−4.06256	−	2.91473i	−0.812511	−	0.582945i
$26$	−0.400280	+	0.693304i	−0.0785013	+	0.135968i
$27$	1.45608	−	0.840670i	0.280223	−	0.161787i
$28$	0.0557413	−	0.0664299i	0.0105341	−	0.0125541i
$29$	−0.499013	−	0.288105i	−0.0926644	−	0.0534998i	0.452952	−	0.891535i	$-0.350371\pi$
$29$	−0.499013	−	0.288105i	−0.0926644	−	0.0534998i	−0.545616	+	0.838035i	$0.683704\pi$
$30$	0.576782	+	0.185507i	0.105306	+	0.0338687i
$31$		−	5.06627i		−	0.909929i	−0.890510	−	0.454965i	$-0.849652\pi$
$31$		−	5.06627i		−	0.909929i	0.890510	−	0.454965i	$-0.150348\pi$
$32$	0.919048	+	5.21218i	0.162466	+	0.921392i
$33$	−0.817959	−	0.974805i	−0.142388	−	0.169692i
$34$	−4.25234	−	1.54772i	−0.729270	−	0.265432i
$35$	−0.0242322	+	0.176237i	−0.00409600	+	0.0297894i
$36$	−3.18209			−0.530349
$37$	−4.06070	+	4.52888i	−0.667575	+	0.744543i
$37$	−4.06070	+	4.52888i	−0.667575	+	0.744543i
$38$			1.94917i			0.316196i
$39$	−0.0815288	−	0.223999i	−0.0130551	−	0.0358685i
$40$	−4.42496	−	4.88501i	−0.699647	−	0.772388i
$41$	−4.55042	+	3.81825i	−0.710656	+	0.596311i	−0.924783	−	0.380495i	$-0.875754\pi$
$41$	−4.55042	+	3.81825i	−0.710656	+	0.596311i	0.214127	+	0.976806i	$0.431309\pi$
$42$	−0.00374326	−	0.0212291i	−0.000577597	−	0.00327572i
$43$	1.01783			0.155217			0.0776084	−	0.996984i	$-0.475272\pi$
$43$	1.01783			0.155217			0.0776084	+	0.996984i	$0.475272\pi$
$44$	0.847972	+	4.80909i	0.127837	+	0.724998i
$45$	5.52554	−	3.47571i	0.823698	−	0.518129i
$46$	−0.00332232	−	0.00278775i	−0.000489849	−	0.000411032i
$47$	−6.88975	+	3.97780i	−1.00497	+	0.580222i	−0.909716	−	0.415231i	$-0.863701\pi$
$47$	−6.88975	+	3.97780i	−1.00497	+	0.580222i	−0.0952574	+	0.995453i	$0.530367\pi$
$48$	0.155427	+	0.0897359i	0.0224340	+	0.0129523i
$49$	−6.57190	+	2.39198i	−0.938843	+	0.341711i
$50$	4.59266	+	1.28730i	0.649500	+	0.182052i
$51$	1.16691	−	0.673718i	0.163401	−	0.0943393i
$52$	−0.158846	+	0.900863i	−0.0220280	+	0.124927i
$53$	−0.788285	−	0.138996i	−0.108279	−	0.0190926i	0.119246	−	0.992865i	$-0.461952\pi$
$53$	−0.788285	−	0.138996i	−0.108279	−	0.0190926i	−0.227525	+	0.973772i	$0.573063\pi$
$54$	−1.03096	+	1.22865i	−0.140296	+	0.167198i
$55$	−6.72529	−	7.42451i	−0.906838	−	1.00112i
$56$	−0.0802061	+	0.220365i	−0.0107180	+	0.0294475i
$57$	−0.444599	−	0.373063i	−0.0588886	−	0.0494134i
$58$	0.541315	+	0.0954485i	0.0710782	+	0.0125330i
$59$	7.84732	+	1.38369i	1.02163	+	0.180142i	0.659279	−	0.751898i	$-0.270862\pi$
$59$	7.84732	+	1.38369i	1.02163	+	0.180142i	0.362355	+	0.932040i	$0.381973\pi$
$60$	0.691813	−	0.0262262i	0.0893126	−	0.00338579i
$61$	−2.86116	−	3.40979i	−0.366333	−	0.436579i	0.551118	−	0.834427i	$-0.314201\pi$
$61$	−2.86116	−	3.40979i	−0.366333	−	0.436579i	−0.917451	+	0.397848i	$0.869757\pi$
$62$	1.65294	+	4.54142i	0.209924	+	0.576761i
$63$	−0.201136	−	0.116126i	−0.0253408	−	0.0146305i
$64$	−3.15623	−	5.46676i	−0.394529	−	0.683345i
$65$	−0.708159	−	1.73780i	−0.0878363	−	0.215548i
$66$	1.05127	+	0.606948i	0.129402	+	0.0747102i
$67$	3.19314	−	0.563037i	0.390104	−	0.0687859i	0.0248440	−	0.999691i	$-0.492091\pi$
$67$	3.19314	−	0.563037i	0.390104	−	0.0687859i	0.365260	+	0.930905i	$0.380980\pi$
$68$	−5.17077			−0.627048
$69$	0.00127176		0.000224245i	0.000153102		2.69960e-5i
$70$	−0.0357778	−	0.165885i	−0.00427627	−	0.0198271i
$71$	5.63810	+	2.05210i	0.669119	+	0.243539i	0.654168	−	0.756349i	$-0.273019\pi$
$71$	5.63810	+	2.05210i	0.669119	+	0.243539i	0.0149505	+	0.999888i	$0.495241\pi$
$72$	8.08622	−	2.94314i	0.952970	−	0.346853i
$73$			9.38629i			1.09858i	0.835631	+	0.549291i	$0.185102\pi$
$73$			9.38629i			1.09858i	−0.835631	+	0.549291i	$0.814898\pi$
$74$	2.16241	−	5.38456i	0.251376	−	0.625943i
$75$	−1.17265	+	0.801188i	−0.135406	+	0.0925132i
$76$	0.761753	+	2.09290i	0.0873791	+	0.240072i
$77$	−0.121902	+	0.334922i	−0.0138920	+	0.0381679i
$78$	0.146165	+	0.174193i	0.0165500	+	0.0197235i
$79$	−6.85173	+	1.20814i	−0.770879	+	0.135927i	−0.545235	−	0.838283i	$-0.683560\pi$
$79$	−6.85173	+	1.20814i	−0.770879	+	0.135927i	−0.225644	+	0.974210i	$0.572449\pi$
$80$	1.24945	+	0.659569i	0.139693	+	0.0737420i
$81$	1.43787	+	8.15459i	0.159764	+	0.906065i
$82$	2.83325	−	4.90733i	0.312880	−	0.541924i
$83$	9.01103	−	10.7389i	0.989089	−	1.17875i	0.00519711	−	0.999986i	$-0.498346\pi$
$83$	9.01103	−	10.7389i	0.989089	−	1.17875i	0.983892	−	0.178764i	$-0.0572099\pi$
$84$	−0.0123158	−	0.0213316i	−0.00134377	−	0.00232747i
$85$	8.97877	−	5.64789i	0.973884	−	0.612600i
$86$	−0.912382	+	0.332080i	−0.0983847	+	0.0358091i
$87$	−0.125377	+	0.105204i	−0.0134419	+	0.0112791i
$88$	−6.60280	−	11.4364i	−0.703861	−	1.21912i
$89$	10.5904	+	1.86737i	1.12258	+	0.197941i	0.703974	−	0.710226i	$-0.251407\pi$
$89$	10.5904	+	1.86737i	1.12258	+	0.197941i	0.418607	+	0.908167i	$0.362518\pi$
$90$	−3.81911	+	4.91843i	−0.402569	+	0.518448i
$91$	−0.0429162	+	0.0511455i	−0.00449884	+	0.00536151i
$92$	−0.00465679	−	0.00169493i	−0.000485504	−	0.000176709i
$93$	−1.35225	−	0.492180i	−0.140222	−	0.0510367i
$94$	4.87818	−	5.81359i	0.503146	−	0.599626i
$95$	−3.60876	−	2.80217i	−0.370251	−	0.287496i
$96$	1.48048	+	0.261049i	0.151101	+	0.0266432i
$97$	3.54321	+	6.13702i	0.359759	+	0.623120i	0.987920	−	0.154962i	$-0.0495257\pi$
$97$	3.54321	+	6.13702i	0.359759	+	0.623120i	−0.628162	+	0.778083i	$0.716192\pi$
$98$	5.11066	−	4.28835i	0.516254	−	0.433189i
$99$	12.2899	−	4.47315i	1.23518	−	0.449568i
$100$	5.43442	−	0.412625i	0.543442	−	0.0412625i
$101$	3.69395	+	6.39812i	0.367562	+	0.636636i	0.989184	−	0.146681i	$-0.0468592\pi$
$101$	3.69395	+	6.39812i	0.367562	+	0.636636i	−0.621622	+	0.783318i	$0.713526\pi$
$102$	−0.826215	+	0.984645i	−0.0818075	+	0.0974944i
$103$	−5.31788	+	9.21085i	−0.523987	+	0.907572i	0.475623	+	0.879649i	$0.342223\pi$
$103$	−5.31788	+	9.21085i	−0.523987	+	0.907572i	−0.999610	+	0.0279226i	$0.991111\pi$
$104$	−0.429560	−	2.43616i	−0.0421218	−	0.238885i
$105$	0.0446857	+	0.0235890i	0.00436088	+	0.00230205i
$106$	0.751971	−	0.132593i	0.0730379	−	0.0128785i
$107$	−7.41377	−	8.83539i	−0.716716	−	0.854149i	0.277591	−	0.960699i	$-0.410464\pi$
$107$	−7.41377	−	8.83539i	−0.716716	−	0.854149i	−0.994307	+	0.106550i	$0.966020\pi$
$108$	−0.626814	+	1.72216i	−0.0603152	+	0.165715i
$109$	3.70141	+	10.1695i	0.354531	+	0.974066i	0.980895	+	0.194535i	$0.0623199\pi$
$109$	3.70141	+	10.1695i	0.354531	+	0.974066i	−0.626365	+	0.779530i	$0.715458\pi$
$110$	8.45093	+	4.46113i	0.805764	+	0.425352i
$111$	0.814326	+	1.52383i	0.0772924	+	0.144635i
$112$		−	0.0502679i		−	0.00474987i
$113$	17.0050	−	6.18933i	1.59970	−	0.582243i	0.620334	−	0.784338i	$-0.286997\pi$
$113$	17.0050	−	6.18933i	1.59970	−	0.582243i	0.979366	+	0.202095i	$0.0647750\pi$
$114$	0.520258	+	0.189358i	0.0487266	+	0.0177350i
$115$	0.00993759	−	0.00214332i	0.000926685	−	0.000199866i
$116$	0.618535	−	0.109064i	0.0574295	−	0.0101264i
$117$	2.44995			0.226498
$118$	−7.48582	+	1.31995i	−0.689125	+	0.121511i
$119$	−0.326838	−	0.188700i	−0.0299612	−	0.0172981i
$120$	−1.73375	+	0.706508i	−0.158269	+	0.0644950i
$121$	−4.53529	−	7.85536i	−0.412299	−	0.714123i
$122$	3.67724	+	2.12306i	0.332922	+	0.192213i
$123$	0.577076	+	1.58550i	0.0520332	+	0.142960i
$124$	3.54967	+	4.23033i	0.318769	+	0.379895i
$125$	−8.98588	+	6.65237i	−0.803721	+	0.595006i
$126$	0.218187	+	0.0384723i	0.0194376	+	0.00342738i
$127$	−8.76576	−	1.54564i	−0.777835	−	0.137153i	−0.229384	−	0.973336i	$-0.573671\pi$
$127$	−8.76576	−	1.54564i	−0.777835	−	0.137153i	−0.548451	+	0.836183i	$0.684782\pi$
$128$	−3.49585	−	2.93336i	−0.308992	−	0.259275i
$129$	0.0988801	−	0.271671i	0.00870591	−	0.0239193i
$130$	1.20178	+	1.32673i	0.105403	+	0.116362i
$131$	−13.7521	+	16.3891i	−1.20152	+	1.43192i	−0.328317	+	0.944567i	$0.606482\pi$
$131$	−13.7521	+	16.3891i	−1.20152	+	1.43192i	−0.873206	+	0.487352i	$0.837963\pi$
$132$	1.36599	+	0.240860i	0.118894	+	0.0209642i
$133$	−0.0282279	+	0.160089i	−0.00244767	+	0.0138814i
$134$	−2.67864	+	1.54652i	−0.231400	+	0.133599i
$135$	−0.792636	−	3.67509i	−0.0682192	−	0.316301i
$136$	13.1398	−	4.78249i	1.12673	−	0.410095i
$137$	−17.7659	−	10.2571i	−1.51784	−	0.876327i	−0.999780	−	0.0209840i	$-0.993320\pi$
$137$	−17.7659	−	10.2571i	−1.51784	−	0.876327i	−0.518063	−	0.855343i	$-0.673347\pi$
$138$	−0.00106685		0.000615943i	−9.08159e−5		5.24326e-5i
$139$	−16.1848	−	13.5807i	−1.37278	−	1.15190i	−0.971799	−	0.235810i	$-0.924226\pi$
$139$	−16.1848	−	13.5807i	−1.37278	−	1.15190i	−0.400979	−	0.916087i	$-0.631330\pi$
$140$	−0.103246	−	0.164135i	−0.00872585	−	0.0138720i
$141$	0.392398	+	2.22540i	0.0330459	+	0.187413i
$142$	−5.72354			−0.480308
$143$	−0.652869	−	3.70260i	−0.0545956	−	0.309627i
$144$	−1.41302	+	1.18566i	−0.117752	+	0.0988054i
$145$	−0.954924	+	0.864992i	−0.0793021	+	0.0718337i
$146$	−3.06241	−	8.41391i	−0.253447	−	0.696340i
$147$			1.98650i			0.163844i
$148$	0.217533	−	6.62672i	0.0178811	−	0.544713i
$149$	−15.0751			−1.23500			−0.617501	−	0.786570i	$-0.711855\pi$
$149$	−15.0751			−1.23500			−0.617501	+	0.786570i	$0.711855\pi$
$150$	0.789768	−	1.10078i	0.0644843	−	0.0898784i
$151$	−9.99530	−	3.63799i	−0.813406	−	0.296056i	−0.0983759	−	0.995149i	$-0.531365\pi$
$151$	−9.99530	−	3.63799i	−0.813406	−	0.296056i	−0.715030	+	0.699094i	$0.753587\pi$
$152$	−3.87148	−	4.61384i	−0.314018	−	0.374232i
$153$	2.40478	+	13.6382i	0.194415	+	1.10258i
$154$		−	0.339997i		−	0.0273978i
$155$	−10.7845	−	3.46853i	−0.866230	−	0.278599i
$156$	0.225020	+	0.129916i	0.0180160	+	0.0104016i
$157$	11.5580	−	13.7743i	0.922432	−	1.09931i	−0.0723591	−	0.997379i	$-0.523053\pi$
$157$	11.5580	−	13.7743i	0.922432	−	1.09931i	0.994791	−	0.101933i	$-0.0325028\pi$
$158$	5.74774	−	3.31846i	0.457265	−	0.264002i
$159$	−0.113680	+	0.196900i	−0.00901545	+	0.0156152i
$160$	11.7243	+	1.61207i	0.926885	+	0.127445i
$161$	−0.000232496	0	0.000277077i	−1.83232e−5	0	2.18368e-5i
$162$	−3.94947	−	6.84067i	−0.310299	−	0.537454i
$163$	−3.94850	+	22.3930i	−0.309270	+	1.75396i	0.293420	+	0.955984i	$0.405207\pi$
$163$	−3.94850	+	22.3930i	−0.309270	+	1.75396i	−0.602690	+	0.797975i	$0.705905\pi$
$164$	1.12434	−	6.37647i	0.0877965	−	0.497918i
$165$	−2.63505	+	1.07379i	−0.205138	+	0.0835944i
$166$	−4.57379	+	12.5664i	−0.354995	+	0.975341i
$167$	13.9313	+	5.07057i	1.07803	+	0.392372i	0.819176	−	0.573543i	$-0.194431\pi$
$167$	13.9313	+	5.07057i	1.07803	+	0.392372i	0.258859	+	0.965915i	$0.416654\pi$
$168$	0.0510263	+	0.0428161i	0.00393676	+	0.00330334i
$169$	−2.13513	+	12.1089i	−0.164241	+	0.931455i
$170$	−6.20590	+	7.99224i	−0.475970	+	0.612977i
$171$	5.16587	−	2.98252i	0.395044	−	0.228079i
$172$	−0.849882	+	0.713136i	−0.0648029	+	0.0543761i
$173$	7.69707	+	21.1475i	0.585198	+	1.60782i	0.779171	+	0.626811i	$0.215640\pi$
$173$	7.69707	+	21.1475i	0.585198	+	1.60782i	−0.193974	+	0.981007i	$0.562138\pi$
$174$	0.0780643	−	0.135211i	0.00591804	−	0.0102503i
$175$	0.358561	+	0.172240i	0.0271047	+	0.0130201i
$176$	2.16844	+	1.81953i	0.163452	+	0.137153i
$177$	1.13168	−	1.96013i	0.0850623	−	0.147332i
$178$	−10.1025	+	1.78135i	−0.757217	+	0.133518i
$179$			10.0280i			0.749526i	0.927121	+	0.374763i	$0.122276\pi$
$179$			10.0280i			0.749526i	−0.927121	+	0.374763i	$0.877724\pi$
$180$	−2.17857	+	6.77366i	−0.162381	+	0.504879i
$181$	−6.29551	+	5.28256i	−0.467942	+	0.392650i	−0.846043	−	0.533114i	$-0.821022\pi$
$181$	−6.29551	+	5.28256i	−0.467942	+	0.392650i	0.378101	+	0.925764i	$0.376577\pi$
$182$	0.0217833	−	0.0598490i	0.00161468	−	0.00443631i
$183$	−1.18807	+	0.432424i	−0.0878250	+	0.0319657i
$184$	0.0134013			0.000987958
$185$	6.86044	+	11.7445i	0.504390	+	0.863476i
$186$	1.37275			0.100655
$187$	19.9705	−	7.26868i	1.46039	−	0.531539i
$188$	2.96590	−	8.14873i	0.216310	−	0.594308i
$189$	−0.102468	+	0.0859807i	−0.00745344	+	0.00625418i
$190$	4.14915	+	1.33446i	0.301011	+	0.0968121i
$191$		−	22.0191i		−	1.59324i	−0.604478	−	0.796622i	$-0.706618\pi$
$191$		−	22.0191i		−	1.59324i	0.604478	−	0.796622i	$-0.293382\pi$
$192$	−1.76577	+	0.311353i	−0.127434	+	0.0224700i
$193$	2.94581	−	5.10229i	0.212044	−	0.367271i	−0.740310	−	0.672265i	$-0.765321\pi$
$193$	2.94581	−	5.10229i	0.212044	−	0.367271i	0.952354	+	0.304995i	$0.0986547\pi$
$194$	−5.17844	−	4.34523i	−0.371790	−	0.311969i
$195$	−0.532639	+	0.0201920i	−0.0381430	+	0.00144598i
$196$	3.81159	−	6.60187i	0.272257	−	0.471562i
$197$	−2.28577	−	6.28009i	−0.162854	−	0.447438i	0.831246	−	0.555905i	$-0.187628\pi$
$197$	−2.28577	−	6.28009i	−0.162854	−	0.447438i	−0.994100	+	0.108467i	$0.965406\pi$
$198$	−9.55726	+	8.01949i	−0.679205	+	0.569921i
$199$	−9.14409	+	5.27934i	−0.648207	+	0.374243i	−0.787769	−	0.615971i	$-0.788764\pi$
$199$	−9.14409	+	5.27934i	−0.648207	+	0.374243i	0.139562	+	0.990213i	$0.455431\pi$
$200$	−13.4281	+	6.07488i	−0.949510	+	0.429559i
$201$	0.159927	−	0.906989i	0.0112804	−	0.0639741i
$202$	−5.39875	−	4.53009i	−0.379855	−	0.318736i
$203$	0.0430769	+	0.0156787i	0.00302341	+	0.00110043i
$204$	−0.502332	+	1.38015i	−0.0351703	+	0.0966296i
$205$	5.01248	+	12.3005i	0.350086	+	0.859103i
$206$	1.76180	−	9.99167i	0.122750	−	0.696153i
$207$	−0.00230474	+	0.0130708i	−0.000160190	+	0.000908484i
$208$	0.265130	+	0.459218i	0.0183834	+	0.0318410i
$209$	−5.88408	−	7.01237i	−0.407010	−	0.485056i
$210$	−0.0477527	−	0.00656592i	−0.00329525	−	0.000453091i
$211$	5.33976	−	9.24874i	0.367605	−	0.636710i	−0.621586	−	0.783346i	$-0.713511\pi$
$211$	5.33976	−	9.24874i	0.367605	−	0.636710i	0.989190	+	0.146636i	$0.0468447\pi$
$212$	0.755604	−	0.436248i	0.0518951	−	0.0299616i
$213$	1.09546	−	1.30552i	0.0750600	−	0.0894530i
$214$	9.52840	+	5.50122i	0.651348	+	0.376056i
$215$	0.696836	−	2.16662i	0.0475238	−	0.147763i
$216$		−	4.95603i		−	0.337215i
$217$	0.0699901	+	0.396934i	0.00475124	+	0.0269456i
$218$	−6.63592	−	7.90838i	−0.449441	−	0.535623i
$219$	2.50532	+	0.911863i	0.169294	+	0.0616180i
$220$	10.8176	+	1.48740i	0.729320	+	0.100280i
$221$	3.98107			0.267796
$222$	−1.22713	−	1.10028i	−0.0823599	−	0.0738458i
$223$			14.5288i			0.972917i	0.873704	+	0.486459i	$0.161712\pi$
$223$			14.5288i			0.972917i	−0.873704	+	0.486459i	$0.838288\pi$
$224$	−0.144012	−	0.395669i	−0.00962218	−	0.0264367i
$225$	−3.61572	−	14.1417i	−0.241048	−	0.942779i
$226$	−13.2240	+	11.0963i	−0.879649	+	0.738113i
$227$	−3.94753	−	22.3876i	−0.262007	−	1.48591i	−0.777425	−	0.628976i	$-0.783474\pi$
$227$	−3.94753	−	22.3876i	−0.262007	−	1.48591i	0.515418	−	0.856939i	$-0.327637\pi$
$228$	0.632625			0.0418966
$229$	0.748417	+	4.24448i	0.0494568	+	0.280483i	0.999499	−	0.0316367i	$-0.0100720\pi$
$229$	0.748417	+	4.24448i	0.0494568	+	0.280483i	−0.950043	+	0.312120i	$0.898961\pi$
$230$	−0.00820880	+	0.00516356i	−0.000541272	+	0.000340475i
$231$	0.0775525	+	0.0650743i	0.00510258	+	0.00428157i
$232$	−1.47092	+	0.849237i	−0.0965708	+	0.0557552i
$233$	4.84592	+	2.79779i	0.317467	+	0.183289i	0.650263	−	0.759709i	$-0.274659\pi$
$233$	4.84592	+	2.79779i	0.317467	+	0.183289i	−0.332796	+	0.942999i	$0.607992\pi$
$234$	−2.19614	+	0.799331i	−0.143566	+	0.0522539i
$235$	3.75051	+	17.3894i	0.244657	+	1.13436i
$236$	−7.52198	+	4.34282i	−0.489639	+	0.282693i
$237$	−0.343165	+	1.94618i	−0.0222909	+	0.126418i
$238$	0.354545	+	0.0625158i	0.0229817	+	0.00405230i
$239$	13.5730	−	16.1757i	0.877966	−	1.04632i	−0.120595	−	0.992702i	$-0.538480\pi$
$239$	13.5730	−	16.1757i	0.877966	−	1.04632i	0.998562	−	0.0536175i	$-0.0170752\pi$
$240$	0.297430	−	0.269419i	0.0191990	−	0.0173909i
$241$	2.32326	−	6.38312i	0.149655	−	0.411173i	−0.842100	−	0.539321i	$-0.818681\pi$
$241$	2.32326	−	6.38312i	0.149655	−	0.411173i	0.991755	+	0.128148i	$0.0409033\pi$
$242$	6.62837	+	5.56187i	0.426088	+	0.357530i
$243$	7.28364	+	1.28430i	0.467246	+	0.0823881i
$244$	4.77812	+	0.842511i	0.305888	+	0.0539362i
$245$	0.592415	+	15.6271i	0.0378480	+	0.998379i
$246$	−1.03459	−	1.23297i	−0.0659628	−	0.0786114i
$247$	−0.586487	−	1.61136i	−0.0373173	−	0.102528i
$248$	−12.9329	−	7.46683i	−0.821242	−	0.474144i
$249$	−1.99095	−	3.44843i	−0.126171	−	0.218535i
$250$	5.88455	−	8.89497i	0.372171	−	0.562568i
$251$	4.04419	+	2.33491i	0.255267	+	0.147379i	0.622174	−	0.782879i	$-0.286250\pi$
$251$	4.04419	+	2.33491i	0.255267	+	0.147379i	−0.366907	+	0.930258i	$0.619583\pi$
$252$	0.249312	−	0.0439604i	0.0157052	−	0.00276924i
$253$	0.0203680			0.00128053
$254$	8.36194	−	1.47444i	0.524675	−	0.0925144i
$255$	−0.635222	−	2.94523i	−0.0397792	−	0.184438i
$256$	15.9543	+	5.80689i	0.997144	+	0.362931i
$257$	−15.8124	+	5.75524i	−0.986350	+	0.359002i	−0.784306	−	0.620374i	$-0.786981\pi$
$257$	−15.8124	+	5.75524i	−0.986350	+	0.359002i	−0.202044	+	0.979376i	$0.564759\pi$
$258$			0.275788i			0.0171698i
$259$	0.255583	−	0.410928i	0.0158811	−	0.0255338i
$260$	1.80890	+	0.954893i	0.112183	+	0.0592199i
$261$	−0.575327	−	1.58070i	−0.0356118	−	0.0978427i
$262$	6.98023	−	19.1780i	0.431240	−	1.18482i
$263$	−16.2226	−	19.3334i	−1.00033	−	1.19215i	−0.981331	−	0.192329i	$-0.938396\pi$
$263$	−16.2226	−	19.3334i	−1.00033	−	1.19215i	−0.0190003	−	0.999819i	$-0.506048\pi$
$264$	−3.69397	+	0.651346i	−0.227348	+	0.0400876i
$265$	−0.835564	+	1.58285i	−0.0513283	+	0.0972334i
$266$	−0.0269276	−	0.152714i	−0.00165103	−	0.00936348i
$267$	1.52727	−	2.64530i	0.0934672	−	0.161890i
$268$	−2.27178	+	2.70740i	−0.138771	+	0.165381i
$269$	8.30018	+	14.3763i	0.506071	+	0.876541i	0.999975	+	0.00702440i	$0.00223596\pi$
$269$	8.30018	+	14.3763i	0.506071	+	0.876541i	−0.493904	+	0.869516i	$0.664431\pi$
$270$	1.90957	+	3.03575i	0.116213	+	0.184750i
$271$	3.10033	−	1.12843i	0.188331	−	0.0685470i	−0.246133	−	0.969236i	$-0.579160\pi$
$271$	3.10033	−	1.12843i	0.188331	−	0.0685470i	0.434464	+	0.900689i	$0.356938\pi$
$272$	−2.29610	+	1.92666i	−0.139221	+	0.116821i
$273$	0.00948217	+	0.0164236i	0.000573887	+	0.000994001i
$274$	19.2719	+	3.39816i	1.16426	+	0.205291i
$275$	−20.4088	+	9.23294i	−1.23069	+	0.556767i
$276$	−0.000904799		0.00107830i	−5.44625e−5		6.49059e-5i
$277$	−16.2940	−	5.93054i	−0.979013	−	0.356332i	−0.197557	−	0.980291i	$-0.563301\pi$
$277$	−16.2940	−	5.93054i	−0.979013	−	0.356332i	−0.781456	+	0.623960i	$0.785523\pi$
$278$	18.9390	+	6.89323i	1.13589	+	0.413429i
$279$	9.50687	−	11.3298i	0.569162	−	0.678300i
$280$	0.414174	+	0.321602i	0.0247516	+	0.0192194i
$281$	18.8706	+	3.32740i	1.12573	+	0.198496i	0.705354	−	0.708855i	$-0.250788\pi$
$281$	18.8706	+	3.32740i	1.12573	+	0.198496i	0.420374	+	0.907351i	$0.361899\pi$
$282$	−1.07782	−	1.86683i	−0.0641830	−	0.111168i
$283$	0.463488	−	0.388913i	0.0275515	−	0.0231185i	−0.628908	−	0.777480i	$-0.716498\pi$
$283$	0.463488	−	0.388913i	0.0275515	−	0.0231185i	0.656459	+	0.754361i	$0.272053\pi$
$284$	−6.14560	+	2.23681i	−0.364674	+	0.132730i
$285$	−1.09852	+	0.690999i	−0.0650707	+	0.0409312i
$286$	1.79326	+	3.10602i	0.106038	+	0.183663i
$287$	0.303768	−	0.362017i	0.0179309	−	0.0213692i
$288$	−7.72538	+	13.3807i	−0.455222	+	0.788468i
$289$	0.955655	+	5.41979i	0.0562150	+	0.318811i
$290$	0.573781	−	1.08694i	0.0336936	−	0.0638273i
$291$	1.98227	−	0.349527i	0.116203	−	0.0204897i
$292$	−6.57647	−	7.83754i	−0.384859	−	0.458657i
$293$	5.25445	−	14.4365i	0.306968	−	0.843388i	−0.686276	−	0.727341i	$-0.740756\pi$
$293$	5.25445	−	14.4365i	0.306968	−	0.843388i	0.993244	−	0.116046i	$-0.0370221\pi$
$294$	−0.648125	−	1.78071i	−0.0377994	−	0.103853i
$295$	8.31798	−	15.7571i	0.484291	−	0.917415i
$296$	5.57631	+	17.0408i	0.324117	+	0.990474i
$297$		−	7.53244i		−	0.437076i
$298$	13.5134	−	4.91847i	0.782809	−	0.284919i
$299$	0.00358534	+	0.00130496i	0.000207346	+	7.54677e-5i
$300$	0.417810	−	1.49060i	0.0241223	−	0.0860600i
$301$	−0.0797449	+	0.0140612i	−0.00459642	+	0.000810472i
$302$	10.1468			0.583881
$303$	2.06660	−	0.364398i	0.118723	−	0.0209341i
$304$	1.11808	+	0.645526i	0.0641265	+	0.0370234i
$305$	−9.21720	+	3.75603i	−0.527775	+	0.215070i
$306$	−6.60531	−	11.4407i	−0.377601	−	0.654023i
$307$	25.5038	+	14.7246i	1.45558	+	0.840378i	0.998789	−	0.0491975i	$-0.0156664\pi$
$307$	25.5038	+	14.7246i	1.45558	+	0.840378i	0.456788	+	0.889575i	$0.349000\pi$
$308$	−0.132874	−	0.365069i	−0.00757122	−	0.0208018i
$309$	1.94187	+	2.31423i	0.110469	+	0.131652i
$310$	10.7989	−	0.409380i	0.613336	−	0.0232512i
$311$	2.29988	+	0.405531i	0.130414	+	0.0229956i	0.238474	−	0.971149i	$-0.423353\pi$
$311$	2.29988	+	0.405531i	0.130414	+	0.0229956i	−0.108060	+	0.994144i	$0.534464\pi$
$312$	−0.691973	−	0.122013i	−0.0391752	−	0.00690765i
$313$	2.61953	+	2.19805i	0.148065	+	0.124241i	0.713811	−	0.700338i	$-0.246967\pi$
$313$	2.61953	+	2.19805i	0.148065	+	0.124241i	−0.565746	+	0.824579i	$0.691412\pi$
$314$	−5.86660	+	16.1183i	−0.331071	+	0.909611i
$315$	−0.384900	+	0.348651i	−0.0216866	+	0.0196443i
$316$	4.87469	−	5.80944i	0.274223	−	0.326806i
$317$	−9.50445	−	1.67589i	−0.533823	−	0.0941274i	−0.0997628	−	0.995011i	$-0.531808\pi$
$317$	−9.50445	−	1.67589i	−0.533823	−	0.0941274i	−0.434060	+	0.900884i	$0.642920\pi$
$318$	0.0376620	−	0.213592i	0.00211198	−	0.0119776i
$319$	−2.23559	+	1.29072i	−0.125169	+	0.0722663i
$320$	−13.7978	+	2.97589i	−0.771323	+	0.166357i
$321$	−3.07852	+	1.12049i	−0.171826	+	0.0625395i
$322$	0.000298810	0	0.000172518i	1.66520e−5	0	9.61406e-6i
$323$	8.39432	−	4.84646i	0.467073	−	0.269665i
$324$	−6.91411	−	5.80162i	−0.384117	−	0.322312i
$325$	−4.18405	+	0.317687i	−0.232090	+	0.0176221i
$326$	−3.76660	−	21.3615i	−0.208613	−	1.18310i
$327$	3.07397			0.169991
$328$	3.04050	+	17.2435i	0.167884	+	0.952116i
$329$	0.484847	−	0.406835i	0.0267305	−	0.0224295i
$330$	2.01173	−	1.82227i	0.110742	−	0.100313i
$331$	3.72850	+	10.2440i	0.204937	+	0.563059i	0.998997	−	0.0447803i	$-0.0142588\pi$
$331$	3.72850	+	10.2440i	0.204937	+	0.563059i	−0.794060	+	0.607839i	$0.792037\pi$
$332$			15.2805i			0.838628i
$333$	−17.5795	+	2.50815i	−0.963351	+	0.137446i
$334$	−14.1424			−0.773837
$335$	0.987603	−	7.18265i	0.0539585	−	0.392430i
$336$	−0.0134171	−	0.00488344i	−0.000731965	−	0.000266414i
$337$	−19.1085	−	22.7726i	−1.04091	−	1.24050i	−0.970021	−	0.243019i	$-0.921862\pi$
$337$	−19.1085	−	22.7726i	−1.04091	−	1.24050i	−0.0708850	−	0.997484i	$-0.522582\pi$
$338$	−2.03677	−	11.5511i	−0.110786	−	0.628296i
$339$		−	5.14015i		−	0.279175i
$340$	−3.54008	+	11.0069i	−0.191988	+	0.596934i
$341$	−19.6562	−	11.3485i	−1.06444	−	0.614556i
$342$	−3.65761	+	4.35897i	−0.197781	+	0.235706i
$343$	0.964140	−	0.556647i	0.0520587	−	0.0300561i
$344$	1.50010	−	2.59826i	0.0808802	−	0.140089i
$345$	0.000393341	−	0.00286069i	2.11767e−5	−	0.000154014i
$346$	−13.7994	−	16.4454i	−0.741859	−	0.884113i
$347$	10.6888	+	18.5136i	0.573807	+	0.993863i	0.996170	+	0.0874362i	$0.0278674\pi$
$347$	10.6888	+	18.5136i	0.573807	+	0.993863i	−0.422363	+	0.906427i	$0.638799\pi$
$348$	0.0309789	−	0.175690i	0.00166065	−	0.00941799i
$349$	1.56915	−	8.89911i	0.0839948	−	0.476358i	−0.913574	−	0.406672i	$-0.866689\pi$
$349$	1.56915	−	8.89911i	0.0839948	−	0.476358i	0.997569	−	0.0696862i	$-0.0221998\pi$
$350$	−0.377611	−	0.0374109i	−0.0201842	−	0.00199970i
$351$	0.482595	−	1.32592i	0.0257590	−	0.0707723i
$352$	22.2810	+	8.10961i	1.18758	+	0.432243i
$353$	16.0232	+	13.4451i	0.852830	+	0.715609i	0.960411	−	0.278587i	$-0.0898660\pi$
$353$	16.0232	+	13.4451i	0.852830	+	0.715609i	−0.107581	+	0.994196i	$0.534310\pi$
$354$	−0.374923	+	2.12629i	−0.0199269	+	0.113011i
$355$	8.22829	−	10.5968i	0.436712	−	0.562418i
$356$	−10.1513	+	5.86088i	−0.538020	+	0.310626i
$357$	−0.0821183	+	0.0689054i	−0.00434616	+	0.00364686i
$358$	−3.27177	−	8.98911i	−0.172918	−	0.475089i
$359$	−1.20188	+	2.08172i	−0.0634328	+	0.109869i	−0.895998	−	0.444059i	$-0.853538\pi$
$359$	−1.20188	+	2.08172i	−0.0634328	+	0.109869i	0.832565	+	0.553927i	$0.186872\pi$
$360$	−0.728921	−	19.2279i	−0.0384175	−	1.01340i
$361$	11.3566	+	9.52929i	0.597714	+	0.501542i
$362$	3.91981	−	6.78931i	0.206021	−	0.356838i
$363$	−2.53729	+	0.447393i	−0.133173	+	0.0234821i
$364$		−	0.0727755i		−	0.00381447i
$365$	19.9804	+	6.42616i	1.04582	+	0.336361i
$366$	0.923910	−	0.775252i	0.0482935	−	0.0405231i
$367$	−4.96213	+	13.6333i	−0.259021	+	0.711655i	0.740207	+	0.672379i	$0.234727\pi$
$367$	−4.96213	+	13.6333i	−0.259021	+	0.711655i	−0.999228	+	0.0392761i	$0.987495\pi$
$368$	−0.00269940		0.000982502i	−0.000140716		5.12165e-5i
$369$	−17.3412			−0.902746
$370$	−9.98155	−	8.28953i	−0.518916	−	0.430952i
$371$	0.0636810			0.00330615
$372$	1.47397	−	0.536482i	0.0764220	−	0.0278153i
$373$	11.1702	−	30.6899i	0.578372	−	1.58907i	−0.212551	−	0.977150i	$-0.568177\pi$
$373$	11.1702	−	30.6899i	0.578372	−	1.58907i	0.790923	−	0.611915i	$-0.209601\pi$
$374$	−15.5302	+	13.0313i	−0.803045	+	0.673835i
$375$	0.902639	+	3.04471i	0.0466121	+	0.157228i
$376$			23.4504i			1.20936i
$377$	−0.476221	+	0.0839705i	−0.0245266	+	0.00432470i
$378$	0.0638001	−	0.110505i	0.00328152	−	0.00568377i
$379$	5.35493	+	4.49332i	0.275064	+	0.230806i	0.769875	−	0.638194i	$-0.220318\pi$
$379$	5.35493	+	4.49332i	0.275064	+	0.230806i	−0.494811	+	0.869001i	$0.664763\pi$
$380$	4.97663	−	0.188661i	0.255296	−	0.00967813i
$381$	−1.26413	+	2.18954i	−0.0647634	+	0.112173i
$382$	7.18403	+	19.7380i	0.367567	+	1.00988i
$383$	−16.9250	+	14.2017i	−0.864826	+	0.725675i	−0.963002	−	0.269494i	$-0.913144\pi$
$383$	−16.9250	+	14.2017i	−0.864826	+	0.725675i	0.0981762	+	0.995169i	$0.468699\pi$
$384$	−1.12257	+	0.648116i	−0.0572859	+	0.0330740i
$385$	0.629484	+	0.488788i	0.0320815	+	0.0249110i
$386$	−0.975938	+	5.53482i	−0.0496739	+	0.281715i
$387$	2.27619	+	1.90995i	0.115705	+	0.0970883i
$388$	−7.25846	−	2.64186i	−0.368492	−	0.134120i
$389$	11.8837	−	32.6501i	0.602525	−	1.65542i	−0.143614	−	0.989634i	$-0.545872\pi$
$389$	11.8837	−	32.6501i	0.602525	−	1.65542i	0.746139	−	0.665790i	$-0.231906\pi$
$390$	0.470871	−	0.191881i	0.0238435	−	0.00971628i
$391$	−0.00374510	+	0.0212395i	−0.000189398	+	0.00107413i
$392$	−3.57976	+	20.3018i	−0.180805	+	1.02540i
$393$	3.03846	+	5.26277i	0.153270	+	0.265472i
$394$	4.09794	+	4.88373i	0.206451	+	0.246039i
$395$	−2.11916	+	15.4123i	−0.106627	+	0.775475i
$396$	−7.12793	+	12.3459i	−0.358192	+	0.620406i
$397$	−28.6683	+	16.5516i	−1.43882	+	0.830702i	−0.997768	−	0.0667799i	$-0.978727\pi$
$397$	−28.6683	+	16.5516i	−1.43882	+	0.830702i	−0.441051	+	0.897482i	$0.645394\pi$
$398$	6.47433	−	7.71581i	0.324529	−	0.386759i
$399$	0.0399874	+	0.0230868i	0.00200188	+	0.00115578i
$400$	2.25943	−	2.20812i	0.112971	−	0.110406i
$401$			9.52924i			0.475868i	0.971281	+	0.237934i	$0.0764701\pi$
$401$			9.52924i			0.475868i	−0.971281	+	0.237934i	$0.923530\pi$
$402$	0.152559	+	0.865206i	0.00760896	+	0.0431526i
$403$	−2.73295	−	3.25700i	−0.136138	−	0.162243i
$404$	−7.56726	−	2.75426i	−0.376485	−	0.137029i
$405$	18.3429	+	2.52212i	0.911467	+	0.125325i
$406$	−0.0437297			−0.00217027
$407$	8.47518	+	25.8995i	0.420099	+	1.28379i
$408$		−	3.97179i		−	0.196633i
$409$	−5.48437	−	15.0682i	−0.271185	−	0.745074i	−0.998285	−	0.0585427i	$-0.981355\pi$
$409$	−5.48437	−	15.0682i	−0.271185	−	0.745074i	0.727100	−	0.686531i	$-0.240868\pi$
$410$	−8.50641	−	9.39080i	−0.420102	−	0.463779i
$411$	−4.46369	+	3.74548i	−0.220178	+	0.184751i
$412$	−2.01312	−	11.4170i	−0.0991795	−	0.562475i
$413$	−0.633940			−0.0311941
$414$	−0.00219856	−	0.0124687i	−0.000108053	−	0.000612802i
$415$	−16.6905	−	26.5338i	−0.819304	−	1.30249i
$416$	3.40250	+	2.85503i	0.166821	+	0.139980i
$417$	−5.19719	+	3.00060i	−0.254507	+	0.146940i
$418$	7.56240	+	4.36615i	0.369889	+	0.213555i
$419$	−4.35092	+	1.58361i	−0.212557	+	0.0773643i	−0.446104	−	0.894981i	$-0.647189\pi$
$419$	−4.35092	+	1.58361i	−0.212557	+	0.0773643i	0.233547	+	0.972345i	$0.424967\pi$
$420$	−0.0538400	+	0.0116121i	−0.00262712	+	0.000566613i
$421$	7.17774	−	4.14407i	0.349822	−	0.201970i	−0.314785	−	0.949163i	$-0.601932\pi$
$421$	7.17774	−	4.14407i	0.349822	−	0.201970i	0.664607	+	0.747193i	$0.268599\pi$
$422$	−1.76905	+	10.0328i	−0.0861160	+	0.488388i
$423$	−22.8721	−	4.03297i	−1.11208	−	0.196090i
$424$	−1.51662	+	1.80744i	−0.0736537	+	0.0877770i
$425$	−5.87539	−	22.9797i	−0.284998	−	1.11468i
$426$	−0.556032	+	1.52769i	−0.0269399	+	0.0740166i
$427$	0.271273	+	0.227625i	0.0131278	+	0.0110155i
$428$	12.3810	+	2.18310i	0.598457	+	0.105524i
$429$	−1.05170	−	0.185443i	−0.0507765	−	0.00895326i
$430$	0.0822454	+	2.16952i	0.00396623	+	0.104624i
$431$	−0.202710	−	0.241581i	−0.00976422	−	0.0116365i	0.761140	−	0.648587i	$-0.224640\pi$
$431$	−0.202710	−	0.241581i	−0.00976422	−	0.0116365i	−0.770904	+	0.636951i	$0.780195\pi$
$432$	0.363346	+	0.998284i	0.0174815	+	0.0480300i
$433$	7.90137	+	4.56186i	0.379716	+	0.219229i	0.677695	−	0.735343i	$-0.262979\pi$
$433$	7.90137	+	4.56186i	0.379716	+	0.219229i	−0.297979	+	0.954572i	$0.596312\pi$
$434$	−0.192245	−	0.332977i	−0.00922804	−	0.0159834i
$435$	0.138108	+	0.338914i	0.00662179	+	0.0162497i
$436$	−10.2159	−	5.89817i	−0.489254	−	0.282471i
$437$	0.00914854	−	0.00161313i	0.000437634	−	7.71667e-5i
$438$	−2.54329			−0.121523
$439$	−19.7260	+	3.47823i	−0.941473	+	0.166007i	−0.623262	−	0.782013i	$-0.714193\pi$
$439$	−19.7260	+	3.47823i	−0.941473	+	0.166007i	−0.318211	+	0.948020i	$0.603082\pi$
$440$	−28.8649	+	6.22552i	−1.37608	+	0.296790i
$441$	−19.1855	−	6.98294i	−0.913594	−	0.332521i
$442$	−3.56864	+	1.29888i	−0.169743	+	0.0617814i
$443$		−	25.8163i		−	1.22657i	−0.789862	−	0.613284i	$-0.789848\pi$
$443$		−	25.8163i		−	1.22657i	0.789862	−	0.613284i	$-0.210152\pi$
$444$	−1.74762	−	0.701837i	−0.0829386	−	0.0333077i
$445$	11.2256	−	21.2651i	0.532143	−	1.00806i
$446$	−4.74021	−	13.0236i	−0.224456	−	0.616686i
$447$	−1.46452	+	4.02374i	−0.0692695	+	0.190317i
$448$	0.322808	+	0.384708i	0.0152513	+	0.0181757i
$449$	25.1893	−	4.44155i	1.18876	−	0.209610i	0.455923	−	0.890019i	$-0.349309\pi$
$449$	25.1893	−	4.44155i	1.18876	−	0.209610i	0.732832	+	0.680409i	$0.238198\pi$
$450$	7.85507	+	11.4970i	0.370291	+	0.541973i
$451$	4.62112	+	26.2077i	0.217600	+	1.23407i
$452$	−9.86264	+	17.0826i	−0.463900	+	0.803498i
$453$	−1.94205	+	2.31445i	−0.0912457	+	0.108742i
$454$	10.8428	+	18.7803i	0.508880	+	0.881405i
$455$	0.0794906	+	0.126371i	0.00372658	+	0.00592435i
$456$	−1.60760	+	0.585119i	−0.0752829	+	0.0274007i
$457$	−2.69802	+	2.26391i	−0.126208	+	0.105901i	−0.703707	−	0.710490i	$-0.748473\pi$
$457$	−2.69802	+	2.26391i	−0.126208	+	0.105901i	0.577499	+	0.816391i	$0.304029\pi$
$458$	−2.05571	−	3.56059i	−0.0960569	−	0.166375i
$459$	7.85473	+	1.38500i	0.366627	+	0.0646463i
$460$	−0.00679616	+	0.00875241i	−0.000316872	+	0.000408083i
$461$	−6.74610	+	8.03969i	−0.314197	+	0.374446i	−0.899912	−	0.436072i	$-0.856369\pi$
$461$	−6.74610	+	8.03969i	−0.314197	+	0.374446i	0.585715	+	0.810517i	$0.300814\pi$
$462$	−0.0907497	−	0.0330302i	−0.00422206	−	0.00153670i
$463$	−11.2011	−	4.07686i	−0.520558	−	0.189468i	0.0683595	−	0.997661i	$-0.478224\pi$
$463$	−11.2011	−	4.07686i	−0.520558	−	0.189468i	−0.588918	+	0.808193i	$0.700446\pi$
$464$	0.234024	−	0.278899i	0.0108643	−	0.0129476i
$465$	−1.97349	+	2.54155i	−0.0915184	+	0.117862i
$466$	−5.25672	−	0.926901i	−0.243513	−	0.0429379i
$467$	0.664094	+	1.15024i	0.0307306	+	0.0532270i	0.880982	−	0.473150i	$-0.156883\pi$
$467$	0.664094	+	1.15024i	0.0307306	+	0.0532270i	−0.850251	+	0.526377i	$0.823550\pi$
$468$	−2.04570	+	1.71655i	−0.0945627	+	0.0793475i
$469$	−0.242399	+	0.0882259i	−0.0111929	+	0.00407390i
$470$	−9.03551	−	14.3643i	−0.416777	−	0.662574i
$471$	−2.55370	−	4.42315i	−0.117668	−	0.203808i
$472$	15.0979	−	17.9929i	0.694936	−	0.828192i
$473$	2.27994	−	3.94897i	0.104832	−	0.181574i
$474$	−0.327356	−	1.85653i	−0.0150360	−	0.0852732i
$475$	−8.43559	+	5.76344i	−0.387051	+	0.264445i
$476$	0.405121	−	0.0714338i	0.0185687	−	0.00327416i
$477$	−1.50204	−	1.79006i	−0.0687736	−	0.0819612i
$478$	−6.88936	+	18.9283i	−0.315112	+	0.865763i
$479$	−13.6672	−	37.5504i	−0.624472	−	1.71572i	−0.695767	−	0.718268i	$-0.744935\pi$
$479$	−13.6672	−	37.5504i	−0.624472	−	1.71572i	0.0712949	−	0.997455i	$-0.477287\pi$
$480$	1.56928	−	2.97275i	0.0716273	−	0.135687i
$481$	−0.167483	+	5.10203i	−0.00763655	+	0.232632i
$482$			6.47985i			0.295149i
$483$	−9.65421e−5	0	3.51385e-5i	−4.39282e−6	0	1.59886e-6i
$484$	9.29079	+	3.38157i	0.422309	+	0.153708i
$485$	15.4896	−	3.34076i	0.703345	−	0.151696i
$486$	−6.94811	+	1.22514i	−0.315172	+	0.0555734i
$487$	23.3742			1.05919			0.529593	−	0.848252i	$-0.322345\pi$
$487$	23.3742			1.05919			0.529593	+	0.848252i	$0.322345\pi$
$488$	−12.9212	+	2.27836i	−0.584916	+	0.103136i
$489$	5.59340	+	3.22935i	0.252943	+	0.146036i
$490$	−5.62961	−	13.8149i	−0.254320	−	0.624094i
$491$	1.94286	+	3.36513i	0.0876800	+	0.151866i	0.906530	−	0.422141i	$-0.138721\pi$
$491$	1.94286	+	3.36513i	0.0876800	+	0.151866i	−0.818850	+	0.574007i	$0.805388\pi$
$492$	−1.59273	−	0.919565i	−0.0718060	−	0.0414572i
$493$	−0.934882	−	2.56857i	−0.0421050	−	0.115682i
$494$	1.05146	+	1.25308i	0.0473073	+	0.0563787i
$495$	−1.10785	−	29.2237i	−0.0497943	−	1.31351i
$496$	3.15248	+	0.555867i	0.141551	+	0.0249592i
$497$	−0.470085	−	0.0828886i	−0.0210862	−	0.00371806i
$498$	2.90980	+	2.44161i	0.130391	+	0.109411i
$499$	−9.60639	+	26.3933i	−0.430041	+	1.18153i	0.515746	+	0.856741i	$0.327515\pi$
$499$	−9.60639	+	26.3933i	−0.430041	+	1.18153i	−0.945787	+	0.324787i	$0.894707\pi$
$500$	2.84223	−	11.8506i	0.127109	−	0.529977i
$501$	2.70680	−	3.22584i	0.120931	−	0.144120i
$502$	−4.38703	−	0.773551i	−0.195803	−	0.0345253i
$503$	−2.06975	+	11.7381i	−0.0922856	+	0.523378i	0.903260	+	0.429094i	$0.141167\pi$
$503$	−2.06975	+	11.7381i	−0.0922856	+	0.523378i	−0.995545	+	0.0942836i	$0.969944\pi$
$504$	−0.592882	+	0.342301i	−0.0264091	+	0.0152473i
$505$	16.1485	−	3.48289i	0.718601	−	0.154986i
$506$	−0.0182580	+	0.00664536i	−0.000811666	+	0.000295422i
$507$	3.02460	+	1.74625i	0.134327	+	0.0775539i
$508$	8.40234	−	4.85109i	0.372793	−	0.215232i
$509$	12.1400	+	10.1867i	0.538097	+	0.451517i	0.870886	−	0.491484i	$-0.163546\pi$
$509$	12.1400	+	10.1867i	0.538097	+	0.451517i	−0.332790	+	0.943001i	$0.607990\pi$
$510$	1.53034	+	2.43287i	0.0677646	+	0.107729i
$511$	−0.129671	−	0.735400i	−0.00573630	−	0.0325322i
$512$	−7.06906			−0.312411
$513$	−0.596564	−	3.38328i	−0.0263389	−	0.149376i
$514$	12.2966	−	10.3180i	0.542378	−	0.455109i
$515$	15.9661	+	17.6261i	0.703552	+	0.776700i
$516$	0.107781	+	0.296125i	0.00474477	+	0.0130362i
$517$			35.6412i			1.56750i
$518$	−0.0950341	+	0.451745i	−0.00417556	+	0.0198485i
$519$	6.39231			0.280591
$520$	−5.47989	−	0.753476i	−0.240309	−	0.0330421i
$521$	−2.75061	−	1.00114i	−0.120507	−	0.0438608i	0.281063	−	0.959689i	$-0.409313\pi$
$521$	−2.75061	−	1.00114i	−0.120507	−	0.0438608i	−0.401570	+	0.915829i	$0.631535\pi$
$522$	1.03145	+	1.22923i	0.0451453	+	0.0538021i
$523$	2.54875	+	14.4547i	0.111449	+	0.632060i	0.988447	+	0.151566i	$0.0484316\pi$
$523$	2.54875	+	14.4547i	0.111449	+	0.632060i	−0.876998	+	0.480494i	$0.840457\pi$
$524$		−	23.3202i		−	1.01875i
$525$	0.0808067	−	0.0789718i	0.00352669	−	0.00344661i
$526$	20.8498	+	12.0377i	0.909096	+	0.524867i
$527$	15.4483	−	18.4105i	0.672937	−	0.801976i
$528$	0.696317	−	0.402019i	0.0303033	−	0.0174956i
$529$	11.5000	−	19.9186i	0.500000	−	0.866025i
$530$	0.232576	−	1.69148i	0.0101025	−	0.0734733i
$531$	14.9527	+	17.8199i	0.648891	+	0.773319i
$532$	−0.0885953	−	0.153451i	−0.00384109	−	0.00665297i
$533$	−0.865652	+	4.90935i	−0.0374955	+	0.212648i
$534$	−0.505980	+	2.86955i	−0.0218959	+	0.124178i
$535$	−23.8834	+	9.73255i	−1.03257	+	0.420775i
$536$	3.26886	−	8.98112i	0.141193	−	0.387925i
$537$	2.67660	+	0.974201i	0.115504	+	0.0420399i
$538$	−12.1308	−	10.1789i	−0.522996	−	0.438846i
$539$	−5.44071	+	30.8558i	−0.234348	+	1.32905i
$540$	3.23679	+	2.51333i	0.139289	+	0.108157i
$541$	35.5976	−	20.5523i	1.53046	−	0.883611i	0.531119	−	0.847297i	$-0.321772\pi$
$541$	35.5976	−	20.5523i	1.53046	−	0.883611i	0.999340	−	0.0363140i	$-0.0115617\pi$
$542$	−2.41098	+	2.02305i	−0.103560	+	0.0868974i
$543$	0.798386	+	2.19355i	0.0342620	+	0.0941341i
$544$	−12.5534	+	21.7432i	−0.538223	+	0.932230i
$545$	24.1818	−	0.916719i	1.03583	−	0.0392679i
$546$	−0.0138583	−	0.0116285i	−0.000593079	−	0.000497653i
$547$	3.94634	−	6.83527i	0.168734	−	0.292255i	−0.769241	−	0.638958i	$-0.779366\pi$
$547$	3.94634	−	6.83527i	0.168734	−	0.292255i	0.937975	+	0.346703i	$0.112699\pi$
$548$	22.0211	−	3.88292i	0.940695	−	0.165870i
$549$		−	12.9944i		−	0.554587i
$550$	15.2821	−	14.9351i	0.651631	−	0.636834i
$551$	−0.901916	+	0.756797i	−0.0384229	+	0.0322406i
$552$	0.00130192	−	0.00357698i	5.54132e−5	−	0.000152247i
$553$	0.520130	−	0.189312i	0.0221182	−	0.00805037i
$554$	16.5409			0.702757
$555$	3.80125	−	0.690178i	0.161354	−	0.0292964i
$556$	23.0295			0.976670
$557$	22.7781	−	8.29054i	0.965137	−	0.351281i	0.189093	−	0.981959i	$-0.439445\pi$
$557$	22.7781	−	8.29054i	0.965137	−	0.351281i	0.776045	+	0.630678i	$0.217223\pi$
$558$	−4.82547	+	13.2579i	−0.204278	+	0.561250i
$559$	0.654339	−	0.549056i	0.0276756	−	0.0232226i
$560$	−0.107004	−	0.0344150i	−0.00452175	−	0.00145430i
$561$		−	6.03654i		−	0.254863i
$562$	−18.0013	+	3.17412i	−0.759340	+	0.133892i
$563$	17.5915	−	30.4693i	0.741391	−	1.28413i	−0.210471	−	0.977600i	$-0.567500\pi$
$563$	17.5915	−	30.4693i	0.741391	−	1.28413i	0.951862	−	0.306527i	$-0.0991670\pi$
$564$	−1.88687	−	1.58327i	−0.0794516	−	0.0666678i
$565$	−1.53290	−	40.4357i	−0.0644894	−	1.70114i
$566$	−0.288584	+	0.499842i	−0.0121301	+	0.0210099i
$567$	−0.225310	−	0.619034i	−0.00946213	−	0.0259970i
$568$	13.5481	−	11.3682i	0.568466	−	0.477000i
$569$	−27.2904	+	15.7561i	−1.14407	+	0.660531i	−0.947436	−	0.319945i	$-0.896336\pi$
$569$	−27.2904	+	15.7561i	−1.14407	+	0.660531i	−0.196638	+	0.980476i	$0.563002\pi$
$570$	0.759268	−	0.977821i	0.0318023	−	0.0409564i
$571$	−2.32777	+	13.2014i	−0.0974141	+	0.552463i	0.896567	+	0.442909i	$0.146053\pi$
$571$	−2.32777	+	13.2014i	−0.0974141	+	0.552463i	−0.993981	+	0.109554i	$0.965058\pi$
$572$	3.13936	+	2.63424i	0.131263	+	0.110143i
$573$	−5.87718	−	2.13912i	−0.245523	−	0.0893629i
$574$	−0.154186	+	0.423622i	−0.00643559	+	0.0176817i
$575$	0.00224115	−	0.0226213i	9.34626e−5	−	0.000943375i
$576$	3.20001	−	18.1481i	0.133334	−	0.756173i
$577$	−0.183282	+	1.03944i	−0.00763013	+	0.0432726i	−0.988385	−	0.151970i	$-0.951438\pi$
$577$	−0.183282	+	1.03944i	−0.00763013	+	0.0432726i	0.980755	+	0.195243i	$0.0625494\pi$
$578$	−2.62493	−	4.54652i	−0.109183	−	0.189110i
$579$	−1.07569	−	1.28195i	−0.0447040	−	0.0532761i
$580$	0.191306	−	1.39133i	0.00794354	−	0.0577719i
$581$	−0.557641	+	0.965863i	−0.0231349	+	0.0400708i
$582$	−1.66287	+	0.960061i	−0.0689284	+	0.0397958i
$583$	−2.30505	+	2.74705i	−0.0954652	+	0.113771i
$584$	23.9609	+	13.8338i	0.991508	+	0.572447i
$585$	1.67732	−	5.21516i	0.0693485	−	0.215620i
$586$			14.6552i			0.605402i
$587$	−1.36532	−	7.74311i	−0.0563528	−	0.319592i	0.943581	−	0.331143i	$-0.107434\pi$
$587$	−1.36532	−	7.74311i	−0.0563528	−	0.319592i	−0.999933	+	0.0115508i	$0.996323\pi$
$588$	−1.39184	−	1.65873i	−0.0573983	−	0.0684047i
$589$	−9.72759	−	3.54055i	−0.400818	−	0.145886i
$590$	−2.31528	+	16.8386i	−0.0953186	+	0.693234i
$591$	−1.89830			−0.0780855
$592$	−2.37255	−	3.02367i	−0.0975113	−	0.124272i
$593$		−	28.8879i		−	1.18628i	−0.805098	−	0.593142i	$-0.797887\pi$
$593$		−	28.8879i		−	1.18628i	0.805098	−	0.593142i	$-0.202113\pi$
$594$	2.45757	+	6.75211i	0.100835	+	0.277042i
$595$	−0.625446	+	0.566543i	−0.0256408	+	0.0232260i
$596$	12.5877	−	10.5623i	0.515612	−	0.432650i
$597$	0.520792	+	2.95356i	0.0213146	+	0.120881i
$598$	−0.00363968			−0.000148837
$599$	−7.63439	−	43.2968i	−0.311933	−	1.76906i	−0.588927	−	0.808187i	$-0.700449\pi$
$599$	−7.63439	−	43.2968i	−0.311933	−	1.76906i	0.276994	−	0.960872i	$-0.410662\pi$
$600$	0.316946	+	4.17430i	0.0129393	+	0.170415i
$601$	−16.3655	−	13.7323i	−0.667563	−	0.560152i	0.244780	−	0.969579i	$-0.421284\pi$
$601$	−16.3655	−	13.7323i	−0.667563	−	0.560152i	−0.912343	+	0.409427i	$0.865729\pi$
$602$	0.0668959	−	0.0386224i	0.00272647	−	0.00157413i
$603$	8.19745	+	4.73280i	0.333826	+	0.192735i
$604$	10.8950	−	3.96546i	0.443311	−	0.161352i
$605$	−19.8265	+	4.27615i	−0.806064	+	0.173850i
$606$	−1.73362	+	1.00091i	−0.0704235	+	0.0406590i
$607$	−3.68445	+	20.8955i	−0.149547	+	0.848124i	0.814056	+	0.580787i	$0.197255\pi$
$607$	−3.68445	+	20.8955i	−0.149547	+	0.848124i	−0.963603	+	0.267337i	$0.913856\pi$
$608$	10.6500	+	1.87789i	0.431915	+	0.0761583i
$609$	0.00836971	−	0.00997463i	0.000339158	−	0.000404192i
$610$	7.03687	−	6.37416i	0.284915	−	0.258082i
$611$	−2.28350	+	6.27385i	−0.0923803	+	0.253813i
$612$	−11.5635	−	9.70297i	−0.467429	−	0.392219i
$613$	−28.5303	−	5.03066i	−1.15233	−	0.203187i	−0.435336	−	0.900268i	$-0.643370\pi$
$613$	−28.5303	−	5.03066i	−1.15233	−	0.203187i	−0.716992	+	0.697081i	$0.754482\pi$
$614$	−27.6658	−	4.87822i	−1.11650	−	0.196869i
$615$	3.77011	−	0.142923i	0.152026	−	0.00576321i
$616$	0.675310	+	0.804804i	0.0272090	+	0.0324265i
$617$	8.89630	+	24.4424i	0.358152	+	0.984014i	0.979670	+	0.200614i	$0.0642938\pi$
$617$	8.89630	+	24.4424i	0.358152	+	0.984014i	−0.621519	+	0.783399i	$0.713484\pi$
$618$	−2.49575	−	1.44092i	−0.100394	−	0.0579624i
$619$	20.5919	+	35.6662i	0.827658	+	1.43355i	0.899871	+	0.436156i	$0.143660\pi$
$619$	20.5919	+	35.6662i	0.827658	+	1.43355i	−0.0722132	+	0.997389i	$0.523006\pi$
$620$	11.4352	−	4.65988i	0.459250	−	0.187145i
$621$	0.00661996	+	0.00382204i	0.000265650	+	0.000153373i
$622$	−2.19393	+	0.386849i	−0.0879686	+	0.0155112i
$623$	−0.855538			−0.0342764
$624$	0.148328	−	0.0261543i	0.00593788	−	0.00104701i
$625$	8.00873	+	23.6825i	0.320349	+	0.947299i
$626$	−3.06530	−	1.11568i	−0.122514	−	0.0445915i
$627$	−2.44332	+	0.889296i	−0.0975769	+	0.0355151i
$628$			19.5996i			0.782111i
$629$	−28.5660	+	4.07563i	−1.13900	+	0.162506i
$630$	0.231273	−	0.438111i	0.00921414	−	0.0174548i
$631$	−12.7116	−	34.9248i	−0.506040	−	1.39033i	−0.885290	−	0.465039i	$-0.846040\pi$
$631$	−12.7116	−	34.9248i	−0.506040	−	1.39033i	0.379251	−	0.925294i	$-0.376182\pi$
$632$	−7.01420	+	19.2714i	−0.279010	+	0.766573i
$633$	−1.94986	−	2.32375i	−0.0775000	−	0.0923609i
$634$	9.06660	−	1.59869i	0.360081	−	0.0634920i
$635$	−9.29150	+	17.6013i	−0.368722	+	0.698486i
$636$	−0.0430346	−	0.244061i	−0.00170643	−	0.00967766i
$637$	−2.93461	+	5.08290i	−0.116274	+	0.201392i
$638$	1.58287	−	1.88640i	0.0626666	−	0.0746831i
$639$	8.75787	+	15.1691i	0.346456	+	0.600079i
$640$	−8.63757	+	5.43326i	−0.341430	+	0.214769i
$641$	17.7377	−	6.45598i	0.700595	−	0.254996i	0.0329303	−	0.999458i	$-0.489516\pi$
$641$	17.7377	−	6.45598i	0.700595	−	0.254996i	0.667665	+	0.744462i	$0.267294\pi$
$642$	2.39402	−	2.00882i	0.0944843	−	0.0792817i
$643$	−7.90467	−	13.6913i	−0.311730	−	0.539932i	0.667007	−	0.745051i	$-0.267575\pi$
$643$	−7.90467	−	13.6913i	−0.311730	−	0.539932i	−0.978737	+	0.205119i	$0.934242\pi$
$644$	0.000388267	0	6.84619e-5i	1.52999e−5	0	2.69778e-6i
$645$	−0.510604	−	0.396479i	−0.0201050	−	0.0156113i
$646$	−5.94347	+	7.08315i	−0.233843	+	0.278683i
$647$	20.8004	+	7.57072i	0.817747	+	0.297636i	0.716820	−	0.697258i	$-0.245597\pi$
$647$	20.8004	+	7.57072i	0.817747	+	0.297636i	0.100927	+	0.994894i	$0.467819\pi$
$648$	22.9358	+	8.34796i	0.901004	+	0.327939i
$649$	22.9466	−	27.3466i	0.900731	−	1.07345i
$650$	3.64695	−	1.64988i	0.143045	−	0.0647137i
$651$	0.112746	+	0.0198802i	0.00441887	+	0.000779166i
$652$	−12.3926	−	21.4647i	−0.485333	−	0.840621i
$653$	9.48480	−	7.95869i	0.371169	−	0.311448i	−0.438055	−	0.898948i	$-0.644332\pi$
$653$	9.48480	−	7.95869i	0.371169	−	0.311448i	0.809224	+	0.587501i	$0.199888\pi$
$654$	−2.75552	+	1.00293i	−0.107749	+	0.0392175i
$655$	25.4720	+	40.4942i	0.995272	+	1.58224i
$656$	−1.87663	−	3.25043i	−0.0732703	−	0.126908i
$657$	−17.6134	+	20.9908i	−0.687164	+	0.818931i
$658$	−0.301883	+	0.522877i	−0.0117686	+	0.0203839i
$659$	8.18785	+	46.4356i	0.318953	+	1.80887i	0.549143	+	0.835728i	$0.314954\pi$
$659$	8.18785	+	46.4356i	0.318953	+	1.80887i	−0.230190	+	0.973146i	$0.573935\pi$
$660$	1.44791	−	2.74285i	0.0563600	−	0.106765i
$661$	−16.8898	+	2.97813i	−0.656937	+	0.115836i	−0.492173	−	0.870497i	$-0.663797\pi$
$661$	−16.8898	+	2.97813i	−0.656937	+	0.115836i	−0.164764	+	0.986333i	$0.552686\pi$
$662$	−6.68447	−	7.96624i	−0.259799	−	0.309617i
$663$	0.386754	−	1.06260i	0.0150203	−	0.0412679i
$664$	−14.1331	−	38.8303i	−0.548470	−	1.50691i
$665$	0.321452	+	0.169690i	0.0124654	+	0.00658030i
$666$	14.9400	−	7.98387i	0.578914	−	0.309369i
$667$		−	0.00261969i		−	0.000101435i
$668$	−15.1853	+	5.52698i	−0.587535	+	0.213845i
$669$	3.87791	+	1.41144i	0.149929	+	0.0545696i
$670$	1.45815	+	6.76077i	0.0563333	+	0.261191i
$671$	−19.6384	+	3.46277i	−0.758131	+	0.133679i
$672$	−0.119600			−0.00461366
$673$	−19.9313	+	3.51443i	−0.768297	+	0.135471i	−0.544041	−	0.839059i	$-0.683106\pi$
$673$	−19.9313	+	3.51443i	−0.768297	+	0.135471i	−0.224256	+	0.974530i	$0.571995\pi$
$674$	24.5588	+	14.1790i	0.945970	+	0.546156i
$675$	−8.36575	−	0.828816i	−0.321998	−	0.0319011i
$676$	−6.70124	−	11.6069i	−0.257740	−	0.446419i
$677$	−21.5559	−	12.4453i	−0.828461	−	0.478312i	0.0248643	−	0.999691i	$-0.492085\pi$
$677$	−21.5559	−	12.4453i	−0.828461	−	0.478312i	−0.853326	+	0.521379i	$0.825418\pi$
$678$	1.67705	+	4.60765i	0.0644066	+	0.176956i
$679$	−0.362387	−	0.431876i	−0.0139071	−	0.0165739i
$680$	−1.18447	−	31.2446i	−0.0454222	−	1.19818i
$681$	−6.35903	−	1.12127i	−0.243678	−	0.0429671i
$682$	21.3225	+	3.75973i	0.816480	+	0.143967i
$683$	−8.87476	−	7.44681i	−0.339583	−	0.284944i	0.457008	−	0.889463i	$-0.348921\pi$
$683$	−8.87476	−	7.44681i	−0.339583	−	0.284944i	−0.796591	+	0.604518i	$0.793366\pi$
$684$	−2.22380	+	6.10984i	−0.0850291	+	0.233616i
$685$	−33.9973	+	30.7955i	−1.29897	+	1.17664i
$686$	−0.682645	+	0.813545i	−0.0260635	+	0.0310613i
$687$	1.20562	+	0.212583i	0.0459971	+	0.00811053i
$688$	−0.111675	+	0.633340i	−0.00425757	+	0.0241459i
$689$	−0.581752	+	0.335875i	−0.0221630	+	0.0127958i
$690$	0.000580749		0.00269267i	2.21088e−5		0.000102508i
$691$	0.0158943	−	0.00578507i	0.000604649	−	0.000220074i	−0.341718	−	0.939803i	$-0.611009\pi$
$691$	0.0158943	−	0.00578507i	0.000604649	−	0.000220074i	0.342322	+	0.939583i	$0.388786\pi$
$692$	−21.2440	−	12.2652i	−0.807575	−	0.466254i
$693$	−0.901094	+	0.520247i	−0.0342297	+	0.0197626i
$694$	−15.6218	−	13.1083i	−0.592997	−	0.497584i
$695$	−39.9895	+	25.1545i	−1.51689	+	0.954165i
$696$	0.0837747	+	0.475110i	0.00317547	+	0.0180090i
$697$	−28.1787			−1.06735
$698$	1.49687	+	8.48915i	0.0566572	+	0.321319i
$699$	1.21754	−	1.02164i	0.0460516	−	0.0386419i
$700$	−0.420077	+	0.107404i	−0.0158774	+	0.00405951i
$701$	1.50535	+	4.13593i	0.0568565	+	0.156212i	0.964869	−	0.262731i	$-0.0846231\pi$
$701$	1.50535	+	4.13593i	0.0568565	+	0.156212i	−0.908013	+	0.418943i	$0.862401\pi$
$702$			1.34601i			0.0508020i
$703$	5.85795	+	10.9618i	0.220937	+	0.413433i
$704$	−28.2800			−1.06584
$705$	5.00581	+	0.688292i	0.188530	+	0.0259226i
$706$	−18.7499	−	6.82441i	−0.705663	−	0.256840i
$707$	−0.377804	−	0.450250i	−0.0142088	−	0.0169334i
$708$	0.428406	+	2.42961i	0.0161005	+	0.0913104i
$709$		−	32.9793i		−	1.23856i	−0.785169	−	0.619281i	$-0.787424\pi$
$709$		−	32.9793i		−	1.23856i	0.785169	−	0.619281i	$-0.212576\pi$
$710$	−3.91852	+	12.1836i	−0.147059	+	0.457241i
$711$	−17.5898	−	10.1555i	−0.659669	−	0.380860i
$712$	20.3754	−	24.2825i	0.763601	−	0.910024i
$713$	0.0199475	−	0.0115167i	0.000747040	−	0.000431303i
$714$	0.0511297	−	0.0885593i	0.00191348	−	0.00331425i
$715$	−8.32863	−	1.14517i	−0.311473	−	0.0428271i
$716$	−7.02606	−	8.37333i	−0.262576	−	0.312926i
$717$	−2.99891	−	5.19426i	−0.111996	−	0.193983i
$718$	0.398180	−	2.25819i	0.0148599	−	0.0842749i
$719$	−2.37186	+	13.4515i	−0.0884554	+	0.501655i	0.908102	+	0.418749i	$0.137531\pi$
$719$	−2.37186	+	13.4515i	−0.0884554	+	0.501655i	−0.996557	+	0.0829063i	$0.973580\pi$
$720$	1.55650	+	3.81961i	0.0580073	+	0.142348i
$721$	0.289400	−	0.795120i	0.0107778	−	0.0296118i
$722$	−13.2891	−	4.83685i	−0.494570	−	0.180009i
$723$	−1.47804	−	1.24022i	−0.0549687	−	0.0461242i
$724$	1.55553	−	8.82186i	0.0578109	−	0.327862i
$725$	1.18752	+	2.62493i	0.0441034	+	0.0974874i
$726$	2.12847	−	1.22887i	0.0789949	−	0.0456077i
$727$	31.8057	−	26.6882i	1.17961	−	0.989809i	0.179627	−	0.983735i	$-0.442511\pi$
$727$	31.8057	−	26.6882i	1.17961	−	0.989809i	0.999982	−	0.00607473i	$-0.00193366\pi$
$728$	0.0673106	+	0.184934i	0.00249470	+	0.00685412i
$729$	−11.3702	+	19.6937i	−0.421118	+	0.729398i
$730$	−20.0071	+	0.758460i	−0.740497	+	0.0280719i
$731$	3.69872	+	3.10359i	0.136802	+	0.114791i
$732$	0.689064	−	1.19349i	0.0254685	−	0.0441128i
$733$	14.8531	−	2.61901i	0.548613	−	0.0967353i	0.107531	−	0.994202i	$-0.465706\pi$
$733$	14.8531	−	2.61901i	0.548613	−	0.0967353i	0.441083	+	0.897466i	$0.354595\pi$
$734$		−	13.8399i		−	0.510842i
$735$	4.22863	+	1.36002i	0.155975	+	0.0501652i
$736$	−0.0184328	+	0.0154670i	−0.000679442	+	0.000570119i
$737$	4.96819	−	13.6500i	0.183006	−	0.502804i
$738$	15.5447	−	5.65781i	0.572208	−	0.208267i
$739$	−21.3018			−0.783601			−0.391801	−	0.920050i	$-0.628148\pi$
$739$	−21.3018			−0.783601			−0.391801	+	0.920050i	$0.628148\pi$
$740$	−13.9572	−	4.99993i	−0.513078	−	0.183801i
$741$	−0.487069			−0.0178929
$742$	−0.0570839	+	0.0207768i	−0.00209561	+	0.000762741i
$743$	−3.19381	+	8.77491i	−0.117169	+	0.321920i	−0.984389	−	0.176005i	$-0.943682\pi$
$743$	−3.19381	+	8.77491i	−0.117169	+	0.321920i	0.867220	+	0.497925i	$0.165905\pi$
$744$	−3.24941	+	2.72658i	−0.119129	+	0.0999612i
$745$	−10.3209	+	32.0901i	−0.378129	+	1.17569i
$746$			31.1550i			1.14067i
$747$	40.3033	−	7.10655i	1.47462	−	0.260015i
$748$	−11.5826	+	20.0616i	−0.423501	+	0.733526i
$749$	0.702916	+	0.589817i	0.0256840	+	0.0215514i
$750$	−1.80251	−	2.43479i	−0.0658184	−	0.0889061i
$751$	−18.5706	+	32.1652i	−0.677651	+	1.17373i	0.298036	+	0.954555i	$0.403669\pi$
$751$	−18.5706	+	32.1652i	−0.677651	+	1.17373i	−0.975687	+	0.219171i	$0.929665\pi$
$752$	−1.71924	−	4.72358i	−0.0626943	−	0.172251i
$753$	1.01611	−	0.852614i	0.0370290	−	0.0310710i
$754$	0.399489	−	0.230645i	0.0145485	−	0.00839960i
$755$	−14.5872	+	18.7861i	−0.530883	+	0.683696i
$756$	0.0253183	−	0.143587i	0.000920819	−	0.00522223i
$757$	25.5138	+	21.4087i	0.927317	+	0.778111i	0.975334	−	0.220736i	$-0.0708458\pi$
$757$	25.5138	+	21.4087i	0.927317	+	0.778111i	−0.0480171	+	0.998847i	$0.515290\pi$
$758$	−6.26619	−	2.28071i	−0.227598	−	0.0828390i
$759$	0.00197872	−	0.00543649i	7.18231e−5	−	0.000197332i
$760$	−12.4719	+	5.08234i	−0.452405	+	0.184356i
$761$	3.84248	−	21.7918i	0.139290	−	0.789951i	−0.832486	−	0.554045i	$-0.813083\pi$
$761$	3.84248	−	21.7918i	0.139290	−	0.789951i	0.971776	−	0.235905i	$-0.0758055\pi$
$762$	0.418803	−	2.37515i	0.0151716	−	0.0860426i
$763$	−0.430491	−	0.745632i	−0.0155848	−	0.0269937i
$764$	15.4276	+	18.3859i	0.558150	+	0.665178i
$765$	30.6778	+	4.21814i	1.10916	+	0.152507i
$766$	10.5381	−	18.2525i	0.380757	−	0.659490i
$767$	5.79130	−	3.34361i	0.209112	−	0.120731i
$768$	3.09987	−	3.69428i	0.111857	−	0.133306i
$769$	0.919212	+	0.530707i	0.0331476	+	0.0191378i	0.516482	−	0.856298i	$-0.327241\pi$
$769$	0.919212	+	0.530707i	0.0331476	+	0.0191378i	−0.483335	+	0.875436i	$0.660575\pi$
$770$	−0.723746	−	0.232773i	−0.0260820	−	0.00838857i
$771$			4.77965i			0.172135i
$772$	1.11516	+	6.32437i	0.0401354	+	0.227619i
$773$	7.16366	+	8.53732i	0.257659	+	0.307066i	0.879330	−	0.476212i	$-0.157991\pi$
$773$	7.16366	+	8.53732i	0.257659	+	0.307066i	−0.621672	+	0.783278i	$0.713546\pi$
$774$	−2.66354	−	0.969447i	−0.0957388	−	0.0348461i
$775$	−14.7668	+	20.5820i	−0.530439	+	0.739328i
$776$	20.8884			0.749850
$777$	−0.0848526	−	0.108139i	−0.00304407	−	0.00387948i
$778$			33.1448i			1.18830i
$779$	4.15126	+	11.4055i	0.148734	+	0.408644i
$780$	0.430605	−	0.390052i	0.0154181	−	0.0139661i
$781$	20.5912	−	17.2780i	0.736809	−	0.618257i
$782$	−0.00357257	−	0.0202611i	−0.000127755	−	0.000724534i
$783$	−0.968806			−0.0346223
$784$	−0.767340	−	4.35180i	−0.0274050	−	0.155422i
$785$	−21.4081	−	34.0337i	−0.764089	−	1.21472i
$786$	−4.44074	−	3.72623i	−0.158396	−	0.132910i
$787$	−31.9760	+	18.4614i	−1.13982	+	0.658077i	−0.946387	−	0.323036i	$-0.895296\pi$
$787$	−31.9760	+	18.4614i	−1.13982	+	0.658077i	−0.193436	+	0.981113i	$0.561963\pi$
$788$	6.30873	+	3.64235i	0.224739	+	0.129753i
$789$	−6.73634	+	2.45183i	−0.239820	+	0.0872873i
$790$	−3.12885	−	14.5070i	−0.111319	−	0.516136i
$791$	−1.24681	+	0.719846i	−0.0443315	+	0.0255948i
$792$	6.69437	−	37.9657i	0.237874	−	1.34905i
$793$	−3.67876	−	0.648664i	−0.130636	−	0.0230347i
$794$	20.2981	−	24.1904i	0.720353	−	0.858484i
$795$	0.341308	+	0.376794i	0.0121050	+	0.0133635i
$796$	3.93634	−	10.8150i	0.139520	−	0.383328i
$797$	−38.9751	−	32.7040i	−1.38057	−	1.15843i	−0.969002	−	0.247053i	$-0.920538\pi$
$797$	−38.9751	−	32.7040i	−1.38057	−	1.15843i	−0.411565	−	0.911380i	$-0.635018\pi$
$798$	−0.0433773	−	0.00764858i	−0.00153554	−	0.000270757i
$799$	−37.1662	−	6.55341i	−1.31485	−	0.231843i
$800$	11.4584	−	23.8536i	0.405116	−	0.843351i
$801$	20.1795	+	24.0490i	0.713007	+	0.849729i
$802$	−3.10905	−	8.54205i	−0.109784	−	0.301630i
$803$	36.4171	+	21.0254i	1.28513	+	0.741970i
$804$	0.501940	+	0.869386i	0.0177021	+	0.0306609i
$805$	−0.000748983	0	0.000305212i	−2.63982e−5	0	1.07573e-5i
$806$	3.51247	+	2.02792i	0.123721	+	0.0714306i
$807$	4.64358	−	0.818788i	0.163462	−	0.0288227i
$808$	21.7771			0.766115
$809$	−12.0988	+	2.13335i	−0.425373	+	0.0750047i	−0.382237	−	0.924064i	$-0.624846\pi$
$809$	−12.0988	+	2.13335i	−0.425373	+	0.0750047i	−0.0431362	+	0.999069i	$0.513735\pi$
$810$	−17.2655	+	3.72380i	−0.606649	+	0.130841i
$811$	−17.9533	−	6.53447i	−0.630426	−	0.229456i	0.00699079	−	0.999976i	$-0.497775\pi$
$811$	−17.9533	−	6.53447i	−0.630426	−	0.229456i	−0.637417	+	0.770519i	$0.719997\pi$
$812$	−0.0469544	+	0.0170900i	−0.00164778	+	0.000599742i
$813$		−	0.937142i		−	0.0328670i
$814$	−16.0473	−	20.4512i	−0.562456	−	0.716815i
$815$	44.9644	+	23.7361i	1.57503	+	0.831439i
$816$	0.291187	+	0.800030i	0.0101936	+	0.0280067i
$817$	0.711305	−	1.95429i	0.0248854	−	0.0683721i
$818$	9.83242	+	11.7178i	0.343783	+	0.409704i
$819$	−0.191949	+	0.0338459i	−0.00670725	+	0.00118267i
$820$	−12.8037	−	6.75890i	−0.447124	−	0.236031i
$821$	−5.18433	−	29.4018i	−0.180934	−	1.02613i	−0.931069	−	0.364844i	$-0.881122\pi$
$821$	−5.18433	−	29.4018i	−0.180934	−	1.02613i	0.750134	−	0.661286i	$-0.229989\pi$
$822$	2.77925	−	4.81381i	0.0969375	−	0.167901i
$823$	−23.2766	+	27.7400i	−0.811371	+	0.966955i	−0.999886	−	0.0151157i	$-0.995188\pi$
$823$	−23.2766	+	27.7400i	−0.811371	+	0.966955i	0.188514	+	0.982070i	$0.439633\pi$
$824$	15.6753	+	27.1505i	0.546076	+	0.945832i
$825$	0.481712	+	6.34433i	0.0167711	+	0.220881i
$826$	0.568266	−	0.206832i	0.0197725	−	0.00719660i
$827$	11.9890	−	10.0600i	0.416898	−	0.349819i	−0.410084	−	0.912048i	$-0.634500\pi$
$827$	11.9890	−	10.0600i	0.416898	−	0.349819i	0.826982	+	0.562229i	$0.190056\pi$
$828$	−0.00723356	−	0.0125289i	−0.000251384	−	0.000435409i
$829$	35.2290	+	6.21182i	1.22355	+	0.215745i	0.747854	−	0.663863i	$-0.231084\pi$
$829$	35.2290	+	6.21182i	1.22355	+	0.215745i	0.475699	+	0.879608i	$0.342195\pi$
$830$	23.6185	+	18.3395i	0.819808	+	0.636573i
$831$	−3.16588	+	3.77294i	−0.109823	+	0.130882i
$832$	−4.97807	−	1.81187i	−0.172583	−	0.0628152i
$833$	−31.1756	−	11.3470i	−1.08017	−	0.393150i
$834$	3.67979	−	4.38540i	0.127421	−	0.151854i
$835$	20.3314	−	26.1837i	0.703598	−	0.906126i
$836$	9.82639	+	1.73266i	0.339853	+	0.0599252i
$837$	−4.25906	−	7.37692i	−0.147215	−	0.254983i
$838$	3.38351	−	2.83910i	0.116881	−	0.0980752i
$839$	11.7973	−	4.29388i	0.407289	−	0.148241i	−0.130248	−	0.991482i	$-0.541577\pi$
$839$	11.7973	−	4.29388i	0.407289	−	0.148241i	0.537537	+	0.843240i	$0.319355\pi$
$840$	0.126076	−	0.0793053i	0.00435004	−	0.00273629i
$841$	−14.3340	−	24.8272i	−0.494276	−	0.856110i
$842$	−5.08209	+	6.05660i	−0.175140	+	0.208724i
$843$	2.72138	−	4.71357i	0.0937293	−	0.162344i
$844$	2.02141	+	11.4640i	0.0695797	+	0.394606i
$845$	24.3142	+	12.8352i	0.836435	+	0.441543i
$846$	21.8184	−	3.84718i	0.750133	−	0.132269i
$847$	0.463853	+	0.552799i	0.0159382	+	0.0189944i
$848$	0.172980	−	0.475259i	0.00594016	−	0.0163205i
$849$	−0.0587787	−	0.161493i	−0.00201728	−	0.00554243i
$850$	12.7642	+	18.6821i	0.437807	+	0.640791i
$851$	−0.0270624	−	0.00569316i	−0.000927688	−	0.000195159i
$852$			1.85764i			0.0636418i
$853$	−19.9764	+	7.27082i	−0.683979	+	0.248948i	−0.660555	−	0.750778i	$-0.729679\pi$
$853$	−19.9764	+	7.27082i	−0.683979	+	0.248948i	−0.0234241	+	0.999726i	$0.507457\pi$
$854$	−0.317435	−	0.115537i	−0.0108624	−	0.00395360i
$855$	−2.81210	−	13.0384i	−0.0961718	−	0.445904i
$856$	−33.4812	+	5.90364i	−1.14436	+	0.201782i
$857$	−11.6284			−0.397217			−0.198609	−	0.980079i	$-0.563642\pi$
$857$	−11.6284			−0.397217			−0.198609	+	0.980079i	$0.563642\pi$
$858$	1.00325	−	0.176900i	0.0342504	−	0.00603926i
$859$	5.34045	+	3.08331i	0.182214	+	0.105201i	0.588332	−	0.808619i	$-0.299785\pi$
$859$	5.34045	+	3.08331i	0.182214	+	0.105201i	−0.406119	+	0.913820i	$0.633118\pi$
$860$	0.936181	+	2.29736i	0.0319235	+	0.0783394i
$861$	−0.0671165	−	0.116249i	−0.00228732	−	0.00396176i
$862$	0.260530	+	0.150417i	0.00887367	+	0.00512322i
$863$	−10.6340	−	29.2167i	−0.361986	−	0.994548i	−0.978327	−	0.207068i	$-0.933608\pi$
$863$	−10.6340	−	29.2167i	−0.361986	−	0.994548i	0.616341	−	0.787480i	$-0.288614\pi$
$864$	5.71994	+	6.81675i	0.194596	+	0.231911i
$865$	50.2860	−	1.90632i	1.70978	−	0.0648167i
$866$	−8.57119	−	1.51133i	−0.291261	−	0.0513571i
$867$	1.53945	+	0.271447i	0.0522825	+	0.00921882i
$868$	−0.336552	−	0.282400i	−0.0114233	−	0.00958530i
$869$	−10.6606	+	29.2897i	−0.361635	+	0.993584i
$870$	−0.234376	−	0.258744i	−0.00794610	−	0.00877225i
$871$	1.74908	−	2.08447i	0.0592653	−	0.0706297i
$872$	31.4156	+	5.53941i	1.06387	+	0.187588i
$873$	−3.59235	+	20.3733i	−0.121583	+	0.689530i
$874$	−0.00767447	+	0.00443086i	−0.000259593	+	0.000149876i
$875$	0.612126	−	0.645341i	0.0206936	−	0.0218165i
$876$	−2.73083	+	0.993942i	−0.0922663	+	0.0335822i
$877$	−12.5309	−	7.23472i	−0.423138	−	0.244299i	0.273281	−	0.961934i	$-0.411891\pi$
$877$	−12.5309	−	7.23472i	−0.423138	−	0.244299i	−0.696419	+	0.717635i	$0.745224\pi$
$878$	16.5477	−	9.55380i	0.558457	−	0.322425i
$879$	−3.34282	−	2.80496i	−0.112751	−	0.0946089i
$880$	5.35779	−	3.37019i	0.180611	−	0.113609i
$881$	6.21884	+	35.2688i	0.209518	+	1.18824i	0.890170	+	0.455629i	$0.150585\pi$
$881$	6.21884	+	35.2688i	0.209518	+	1.18824i	−0.680652	+	0.732607i	$0.738303\pi$
$882$	19.4762			0.655798
$883$	−3.08352	−	17.4875i	−0.103769	−	0.588502i	−0.991705	−	0.128535i	$-0.958972\pi$
$883$	−3.08352	−	17.4875i	−0.103769	−	0.588502i	0.887936	−	0.459967i	$-0.152139\pi$
$884$	−3.32418	+	2.78932i	−0.111804	+	0.0938150i
$885$	−3.39770	−	3.75095i	−0.114212	−	0.126087i
$886$	8.42293	+	23.1418i	0.282974	+	0.777464i
$887$		−	33.9486i		−	1.13988i	−0.821685	−	0.569942i	$-0.806966\pi$
$887$		−	33.9486i		−	1.13988i	0.821685	−	0.569942i	$-0.193034\pi$
$888$	5.09013	+	0.167092i	0.170814	+	0.00560725i
$889$	0.708135			0.0237501
$890$	−3.12460	+	22.7246i	−0.104737	+	0.761731i
$891$	34.8591	+	12.6877i	1.16782	+	0.425053i
$892$	−10.1795	−	12.1315i	−0.340836	−	0.406192i
$893$	2.82276	+	16.0087i	0.0944601	+	0.535710i
$894$		−	4.08472i		−	0.136613i
$895$	21.3463	+	6.86547i	0.713529	+	0.229487i
$896$	0.314418	+	0.181529i	0.0105040	+	0.00606447i
$897$	0.000696621	0	0.000830200i	2.32595e−5	0	2.77196e-5i
$898$	−21.1306	+	12.1998i	−0.705138	+	0.407112i
$899$	−1.45962	+	2.52813i	−0.0486810	+	0.0843180i
$900$	12.9274	+	9.27494i	0.430915	+	0.309165i
$901$	−2.44075	−	2.90877i	−0.0813132	−	0.0969053i
$902$	−12.6930	−	21.9850i	−0.422631	−	0.732019i
$903$	−0.00399397	+	0.0226510i	−0.000132911	+	0.000753777i
$904$	9.26275	−	52.5317i	0.308075	−	1.74718i
$905$	6.93477	+	17.0177i	0.230520	+	0.565689i
$906$	0.985742	−	2.70830i	0.0327491	−	0.0899774i
$907$	24.1970	+	8.80699i	0.803449	+	0.292431i	0.710915	−	0.703278i	$-0.248281\pi$
$907$	24.1970	+	8.80699i	0.803449	+	0.292431i	0.0925339	+	0.995710i	$0.470503\pi$
$908$	18.9819	+	15.9277i	0.629938	+	0.528581i
$909$	−3.74519	+	21.2400i	−0.124220	+	0.704486i
$910$	−0.112486	−	0.0873442i	−0.00372887	−	0.00289543i
$911$	20.1765	−	11.6489i	0.668477	−	0.385946i	−0.127022	−	0.991900i	$-0.540542\pi$
$911$	20.1765	−	11.6489i	0.668477	−	0.385946i	0.795499	+	0.605954i	$0.207209\pi$
$912$	0.280919	−	0.235719i	0.00930216	−	0.00780544i
$913$	−21.4802	−	59.0164i	−0.710891	−	1.95316i
$914$	1.67988	−	2.90964i	0.0555656	−	0.0962424i
$915$	0.107097	+	2.82508i	0.00354053	+	0.0933943i
$916$	−3.59881	−	3.01976i	−0.118908	−	0.0997757i
$917$	0.851037	−	1.47404i	0.0281037	−	0.0486770i
$918$	−7.49288	+	1.32120i	−0.247302	+	0.0436060i
$919$		−	5.85605i		−	0.193173i	−0.995325	−	0.0965866i	$-0.969208\pi$
$919$		−	5.85605i		−	0.193173i	0.995325	−	0.0965866i	$-0.0307925\pi$
$920$	0.00917497	−	0.0285271i	0.000302490	−	0.000940510i
$921$	6.40784	−	5.37682i	0.211146	−	0.177172i
$922$	3.42417	−	9.40782i	0.112769	−	0.309830i
$923$	4.73160	−	1.72216i	0.155743	−	0.0566857i
$924$	−0.110350			−0.00363026
$925$	29.6973	−	6.56299i	0.976440	−	0.215790i
$926$	11.3708			0.373668
$927$	−29.1767	+	10.6195i	−0.958289	+	0.348789i
$928$	1.04304	−	2.86573i	0.0342395	−	0.0940721i
$929$	7.91261	−	6.63947i	0.259604	−	0.217834i	−0.503690	−	0.863884i	$-0.668025\pi$
$929$	7.91261	−	6.63947i	0.259604	−	0.217834i	0.763295	+	0.646050i	$0.223580\pi$
$930$	0.939826	−	2.92214i	0.0308181	−	0.0958206i
$931$			14.2901i			0.468340i
$932$	−6.00660	+	1.05912i	−0.196753	+	0.0346928i
$933$	0.331671	−	0.574471i	0.0108584	−	0.0188074i
$934$	−0.970580	−	0.814413i	−0.0317583	−	0.0266484i
$935$	−1.80022	−	47.4873i	−0.0588734	−	1.55300i
$936$	3.61082	−	6.25412i	0.118023	−	0.204422i
$937$	−16.5873	−	45.5732i	−0.541884	−	1.48881i	−0.844424	−	0.535676i	$-0.820057\pi$
$937$	−16.5873	−	45.5732i	−0.541884	−	1.48881i	0.302540	−	0.953137i	$-0.402165\pi$
$938$	0.188502	−	0.158172i	0.00615481	−	0.00516450i
$939$	0.841171	−	0.485650i	0.0274506	−	0.0158486i
$940$	−15.3155	−	11.8923i	−0.499536	−	0.387885i
$941$	−3.34738	+	18.9839i	−0.109122	+	0.618859i	0.880372	+	0.474283i	$0.157293\pi$
$941$	−3.34738	+	18.9839i	−0.109122	+	0.618859i	−0.989494	+	0.144576i	$0.953818\pi$
$942$	3.73226	+	3.13174i	0.121604	+	0.102038i
$943$	−0.0253777	−	0.00923673i	−0.000826412	−	0.000300789i
$944$	−1.72200	+	4.73117i	−0.0560465	+	0.153986i
$945$	0.112873	+	0.276986i	0.00367175	+	0.00901037i
$946$	−0.755338	+	4.28373i	−0.0245581	+	0.139276i
$947$	1.99999	−	11.3425i	0.0649910	−	0.368582i	−0.934915	−	0.354872i	$-0.884525\pi$
$947$	1.99999	−	11.3425i	0.0649910	−	0.368582i	0.999906	−	0.0137104i	$-0.00436430\pi$
$948$	−1.07704	−	1.86550i	−0.0349808	−	0.0605885i
$949$	5.06334	+	6.03426i	0.164363	+	0.195880i
$950$	5.68129	−	7.91860i	0.184325	−	0.256913i
$951$	−1.37066	+	2.37405i	−0.0444467	+	0.0769839i
$952$	−0.963409	+	0.556224i	−0.0312243	+	0.0180273i
$953$	−13.4126	+	15.9845i	−0.434477	+	0.517790i	−0.938208	−	0.346071i	$-0.887516\pi$
$953$	−13.4126	+	15.9845i	−0.434477	+	0.517790i	0.503731	+	0.863860i	$0.331960\pi$
$954$	1.93046	+	1.11455i	0.0625011	+	0.0360850i
$955$	−46.8716	−	15.0750i	−1.51673	−	0.487815i
$956$			23.0166i			0.744409i
$957$	0.127325	+	0.722098i	0.00411585	+	0.0233421i
$958$	24.5027	+	29.2012i	0.791647	+	0.943448i
$959$	1.53363	+	0.558195i	0.0495234	+	0.0180251i
$960$	−0.546133	+	3.97192i	−0.0176264	+	0.128193i
$961$	5.33289			0.172029
$962$	−1.51448	−	4.62812i	−0.0488287	−	0.149216i
$963$		−	33.6708i		−	1.08503i
$964$	2.53239	+	6.95768i	0.0815627	+	0.224092i
$965$	−8.84434	−	9.76387i	−0.284709	−	0.314310i
$966$	7.50763e−5	0	6.29965e-5i	2.41554e−6	0	2.02688e-6i
$967$	−4.95322	−	28.0911i	−0.159285	−	0.903349i	−0.954763	−	0.297367i	$-0.903892\pi$
$967$	−4.95322	−	28.0911i	−0.159285	−	0.903349i	0.795479	−	0.605982i	$-0.207220\pi$
$968$	−26.7370			−0.859361
$969$	−0.478089	−	2.71138i	−0.0153584	−	0.0871021i
$970$	−12.7949	+	8.04836i	−0.410820	+	0.258417i
$971$	32.7310	+	27.4646i	1.05039	+	0.881380i	0.993134	−	0.116980i	$-0.0373213\pi$
$971$	32.7310	+	27.4646i	1.05039	+	0.881380i	0.0572532	+	0.998360i	$0.481766\pi$
$972$	−6.98167	+	4.03087i	−0.223937	+	0.129290i
$973$	1.45567	+	0.840430i	0.0466666	+	0.0269430i
$974$	−20.9527	+	7.62617i	−0.671369	+	0.244358i
$975$	−0.321679	+	1.14764i	−0.0103020	+	0.0367539i
$976$	2.43566	−	1.40623i	0.0779637	−	0.0450123i
$977$	6.88994	−	39.0748i	0.220429	−	1.25011i	−0.650805	−	0.759245i	$-0.725568\pi$
$977$	6.88994	−	39.0748i	0.220429	−	1.25011i	0.871234	−	0.490869i	$-0.163321\pi$
$978$	−6.06757	−	1.06988i	−0.194019	−	0.0342109i
$979$	30.9677	−	36.9058i	0.989731	−	1.17952i
$980$	−11.4437	−	12.6335i	−0.365557	−	0.403563i
$981$	−10.8056	+	29.6881i	−0.344996	+	0.947870i
$982$	−2.83951	−	2.38263i	−0.0906123	−	0.0760327i
$983$	−26.3723	−	4.65015i	−0.841146	−	0.148317i	−0.263556	−	0.964644i	$-0.584896\pi$
$983$	−26.3723	−	4.65015i	−0.841146	−	0.148317i	−0.577590	+	0.816327i	$0.696007\pi$
$984$	4.89791	+	0.863633i	0.156140	+	0.0275316i
$985$	−14.9332	+	0.566110i	−0.475812	+	0.0180378i
$986$	1.67606	+	1.99745i	0.0533767	+	0.0636119i
$987$	−0.0614874	−	0.168935i	−0.00195717	−	0.00537727i
$988$	1.61871	+	0.934562i	0.0514980	+	0.0297324i
$989$	0.00231373	+	0.00400750i	7.35723e−5	+	0.000127431i
$990$	10.5277	+	25.8348i	0.334593	+	0.821082i
$991$	−21.3558	−	12.3298i	−0.678390	−	0.391669i	0.120858	−	0.992670i	$-0.461435\pi$
$991$	−21.3558	−	12.3298i	−0.678390	−	0.391669i	−0.799248	+	0.601001i	$0.794769\pi$
$992$	26.4063	−	4.65615i	0.838402	−	0.147833i
$993$	3.09646			0.0982633
$994$	0.448429	−	0.0790702i	0.0142233	−	0.00250795i
$995$	4.97769	+	23.0792i	0.157803	+	0.731661i
$996$	4.07857	+	1.48448i	0.129234	+	0.0470375i
$997$	−35.0601	+	12.7608i	−1.11036	+	0.404140i	−0.831127	−	0.556083i	$-0.812304\pi$
$997$	−35.0601	+	12.7608i	−1.11036	+	0.404140i	−0.279237	+	0.960222i	$0.590082\pi$
$998$		−	26.7933i		−	0.848127i
$999$	−2.10542	+	10.0081i	−0.0666127	+	0.316643i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.v.a.104.6	✓	96
5.2	odd	4		925.2.bb.e.326.6		96
5.3	odd	4		925.2.bb.e.326.11		96
5.4	even	2	inner	185.2.v.a.104.11	yes	96
37.21	even	18	inner	185.2.v.a.169.11	yes	96
185.58	odd	36		925.2.bb.e.576.11		96
185.132	odd	36		925.2.bb.e.576.6		96
185.169	even	18	inner	185.2.v.a.169.6	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.v.a.104.6	✓	96	1.1	even	1	trivial
185.2.v.a.104.11	yes	96	5.4	even	2	inner
185.2.v.a.169.6	yes	96	185.169	even	18	inner
185.2.v.a.169.11	yes	96	37.21	even	18	inner
925.2.bb.e.326.6		96	5.2	odd	4
925.2.bb.e.326.11		96	5.3	odd	4
925.2.bb.e.576.6		96	185.132	odd	36
925.2.bb.e.576.11		96	185.58	odd	36

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
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Newspace parameters

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$q$ -expansion

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	185.2.v.a.104.6

Level	$185$
Weight	$2$
Character	185.104
Analytic conductor	$1.477$
Analytic rank	$0$
Dimension	$96$
Inner twists	$4$