LMFDB - Embedded newform 185.2.v.a.104.13

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			104.13
Character	$\chi$	$=$	185.104
Dual form			185.2.v.a.169.13

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.61200 - 0.586720i) q^{2} +(-0.898385 + 2.46829i) q^{3} +(0.722216 - 0.606011i) q^{4} +(-1.76116 + 1.37779i) q^{5} +4.50599i q^{6} +(1.64511 - 0.290078i) q^{7} +(-0.906802 + 1.57063i) q^{8} +(-2.98723 - 2.50659i) q^{9} +(-2.03062 + 3.25431i) q^{10} +(-0.213765 + 0.370251i) q^{11} +(0.846984 + 2.32707i) q^{12} +(5.35232 - 4.49113i) q^{13} +(2.48173 - 1.43283i) q^{14} +(-1.81858 - 5.58485i) q^{15} +(-0.867672 + 4.92081i) q^{16} +(2.29999 + 1.92992i) q^{17} +(-6.28609 - 2.28795i) q^{18} +(1.68011 - 4.61607i) q^{19} +(-0.436984 + 2.06235i) q^{20} +(-0.761947 + 4.32122i) q^{21} +(-0.127355 + 0.722265i) q^{22} +(3.21583 + 5.56998i) q^{23} +(-3.06211 - 3.64928i) q^{24} +(1.20339 - 4.85302i) q^{25} +(5.99291 - 10.3800i) q^{26} +(2.04630 - 1.18143i) q^{27} +(1.01234 - 1.20645i) q^{28} +(-6.17743 - 3.56654i) q^{29} +(-6.20830 - 7.93578i) q^{30} +0.0147642i q^{31} +(0.858595 + 4.86933i) q^{32} +(-0.721845 - 0.860261i) q^{33} +(4.83992 + 1.76159i) q^{34} +(-2.49765 + 2.77749i) q^{35} -3.67645 q^{36} +(-6.06435 - 0.472894i) q^{37} -8.42687i q^{38} +(6.27698 + 17.2459i) q^{39} +(-0.566968 - 4.01551i) q^{40} +(6.20835 - 5.20942i) q^{41} +(1.30709 + 7.41285i) q^{42} +0.372776 q^{43} +(0.0699921 + 0.396945i) q^{44} +(8.71456 + 0.298728i) q^{45} +(8.45194 + 7.09202i) q^{46} +(-0.489878 + 0.282831i) q^{47} +(-11.3665 - 6.56245i) q^{48} +(-3.95560 + 1.43972i) q^{49} +(-0.907501 - 8.52913i) q^{50} +(-6.82990 + 3.94324i) q^{51} +(1.14386 - 6.48713i) q^{52} +(-1.48407 - 0.261682i) q^{53} +(2.60547 - 3.10508i) q^{54} +(-0.133654 - 0.946595i) q^{55} +(-1.03619 + 2.84690i) q^{56} +(9.88442 + 8.29402i) q^{57} +(-12.0506 - 2.12484i) q^{58} +(8.78756 + 1.54948i) q^{59} +(-4.69789 - 2.93138i) q^{60} +(-4.71080 - 5.61411i) q^{61} +(0.00866243 + 0.0237998i) q^{62} +(-5.64144 - 3.25709i) q^{63} +(-0.755735 - 1.30897i) q^{64} +(-3.23848 + 15.2840i) q^{65} +(-1.66835 - 0.963221i) q^{66} +(-5.36476 + 0.945953i) q^{67} +2.83065 q^{68} +(-16.6374 + 2.93362i) q^{69} +(-2.39659 + 5.94274i) q^{70} +(0.117250 + 0.0426755i) q^{71} +(6.64574 - 2.41885i) q^{72} +9.60997i q^{73} +(-10.0532 + 2.79577i) q^{74} +(10.8976 + 7.33020i) q^{75} +(-1.58399 - 4.35197i) q^{76} +(-0.244265 + 0.671113i) q^{77} +(20.2370 + 24.1175i) q^{78} +(3.72035 - 0.655999i) q^{79} +(-5.25174 - 9.86183i) q^{80} +(-0.953697 - 5.40869i) q^{81} +(6.95138 - 12.0401i) q^{82} +(10.6061 - 12.6399i) q^{83} +(2.06841 + 3.58260i) q^{84} +(-6.70970 - 0.230003i) q^{85} +(0.600916 - 0.218715i) q^{86} +(14.3530 - 12.0436i) q^{87} +(-0.387684 - 0.671489i) q^{88} +(-0.556714 - 0.0981638i) q^{89} +(14.2231 - 4.63146i) q^{90} +(7.50239 - 8.94100i) q^{91} +(5.69799 + 2.07390i) q^{92} +(-0.0364422 - 0.0132639i) q^{93} +(-0.623741 + 0.743346i) q^{94} +(3.40102 + 10.4445i) q^{95} +(-12.7903 - 2.25527i) q^{96} +(0.805580 + 1.39531i) q^{97} +(-5.53171 + 4.64166i) q^{98} +(1.56663 - 0.570207i) 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

)

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

$2$	1.61200	−	0.586720i	1.13986	−	0.414874i	0.297995	−	0.954567i	$-0.403682\pi$
$2$	1.61200	−	0.586720i	1.13986	−	0.414874i	0.841861	+	0.539694i	$0.181460\pi$
$3$	−0.898385	+	2.46829i	−0.518683	+	1.42507i	0.353290	+	0.935514i	$0.385063\pi$
$3$	−0.898385	+	2.46829i	−0.518683	+	1.42507i	−0.871973	+	0.489555i	$0.837159\pi$
$4$	0.722216	−	0.606011i	0.361108	−	0.303005i
$5$	−1.76116	+	1.37779i	−0.787616	+	0.616166i
$5$	−1.76116	+	1.37779i	−0.787616	+	0.616166i
$6$			4.50599i			1.83956i
$7$	1.64511	−	0.290078i	0.621794	−	0.109639i	0.146129	−	0.989266i	$-0.453319\pi$
$7$	1.64511	−	0.290078i	0.621794	−	0.109639i	0.475665	+	0.879626i	$0.342207\pi$
$8$	−0.906802	+	1.57063i	−0.320603	+	0.555300i
$9$	−2.98723	−	2.50659i	−0.995745	−	0.835529i
$10$	−2.03062	+	3.25431i	−0.642138	+	1.02910i
$11$	−0.213765	+	0.370251i	−0.0644525	+	0.111635i	−0.896451	−	0.443143i	$-0.853863\pi$
$11$	−0.213765	+	0.370251i	−0.0644525	+	0.111635i	0.831999	+	0.554778i	$0.187197\pi$
$12$	0.846984	+	2.32707i	0.244503	+	0.671767i
$13$	5.35232	−	4.49113i	1.48447	−	1.24562i	0.583216	−	0.812317i	$-0.301794\pi$
$13$	5.35232	−	4.49113i	1.48447	−	1.24562i	0.901250	−	0.433299i	$-0.142650\pi$
$14$	2.48173	−	1.43283i	0.663269	−	0.382939i
$15$	−1.81858	−	5.58485i	−0.469557	−	1.44200i
$16$	−0.867672	+	4.92081i	−0.216918	+	1.23020i
$17$	2.29999	+	1.92992i	0.557831	+	0.468075i	0.877582	−	0.479426i	$-0.159155\pi$
$17$	2.29999	+	1.92992i	0.557831	+	0.468075i	−0.319752	+	0.947501i	$0.603600\pi$
$18$	−6.28609	−	2.28795i	−1.48165	−	0.539275i
$19$	1.68011	−	4.61607i	0.385444	−	1.05900i	−0.583585	−	0.812052i	$-0.698350\pi$
$19$	1.68011	−	4.61607i	0.385444	−	1.05900i	0.969029	−	0.246947i	$-0.0794274\pi$
$20$	−0.436984	+	2.06235i	−0.0977126	+	0.461154i
$21$	−0.761947	+	4.32122i	−0.166271	+	0.942967i
$22$	−0.127355	+	0.722265i	−0.0271521	+	0.153987i
$23$	3.21583	+	5.56998i	0.670547	+	1.16142i	0.977749	+	0.209777i	$0.0672738\pi$
$23$	3.21583	+	5.56998i	0.670547	+	1.16142i	−0.307203	+	0.951644i	$0.599393\pi$
$24$	−3.06211	−	3.64928i	−0.625050	−	0.744906i
$25$	1.20339	−	4.85302i	0.240678	−	0.970605i
$26$	5.99291	−	10.3800i	1.17531	−	2.03569i
$27$	2.04630	−	1.18143i	0.393812	−	0.227367i
$28$	1.01234	−	1.20645i	0.191313	−	0.227998i
$29$	−6.17743	−	3.56654i	−1.14712	−	0.662290i	−0.198936	−	0.980012i	$-0.563749\pi$
$29$	−6.17743	−	3.56654i	−1.14712	−	0.662290i	−0.948184	+	0.317723i	$0.897082\pi$
$30$	−6.20830	−	7.93578i	−1.13348	−	1.44887i
$31$			0.0147642i			0.00265172i	0.999999	+	0.00132586i	$0.000422035\pi$
$31$			0.0147642i			0.00265172i	−0.999999	+	0.00132586i	$0.999578\pi$
$32$	0.858595	+	4.86933i	0.151780	+	0.860785i
$33$	−0.721845	−	0.860261i	−0.125657	−	0.149752i
$34$	4.83992	+	1.76159i	0.830039	+	0.302110i
$35$	−2.49765	+	2.77749i	−0.422179	+	0.469482i
$36$	−3.67645			−0.612741
$37$	−6.06435	−	0.472894i	−0.996973	−	0.0777434i
$37$	−6.06435	−	0.472894i	−0.996973	−	0.0777434i
$38$		−	8.42687i		−	1.36702i
$39$	6.27698	+	17.2459i	1.00512	+	2.76155i
$40$	−0.566968	−	4.01551i	−0.0896454	−	0.634908i
$41$	6.20835	−	5.20942i	0.969581	−	0.813575i	−0.0129043	−	0.999917i	$-0.504108\pi$
$41$	6.20835	−	5.20942i	0.969581	−	0.813575i	0.982485	+	0.186342i	$0.0596632\pi$
$42$	1.30709	+	7.41285i	0.201688	+	1.14383i
$43$	0.372776			0.0568479			0.0284239	−	0.999596i	$-0.490951\pi$
$43$	0.372776			0.0568479			0.0284239	+	0.999596i	$0.490951\pi$
$44$	0.0699921	+	0.396945i	0.0105517	+	0.0598417i
$45$	8.71456	+	0.298728i	1.29909	+	0.0445318i
$46$	8.45194	+	7.09202i	1.24617	+	1.04566i
$47$	−0.489878	+	0.282831i	−0.0714561	+	0.0412552i	−0.535302	−	0.844661i	$-0.679802\pi$
$47$	−0.489878	+	0.282831i	−0.0714561	+	0.0412552i	0.463846	+	0.885916i	$0.346469\pi$
$48$	−11.3665	−	6.56245i	−1.64061	−	0.947209i
$49$	−3.95560	+	1.43972i	−0.565086	+	0.205674i
$50$	−0.907501	−	8.52913i	−0.128340	−	1.20620i
$51$	−6.82990	+	3.94324i	−0.956377	+	0.552164i
$52$	1.14386	−	6.48713i	0.158624	−	0.899603i
$53$	−1.48407	−	0.261682i	−0.203853	−	0.0359448i	0.0707890	−	0.997491i	$-0.477448\pi$
$53$	−1.48407	−	0.261682i	−0.203853	−	0.0359448i	−0.274642	+	0.961546i	$0.588559\pi$
$54$	2.60547	−	3.10508i	0.354560	−	0.422548i
$55$	−0.133654	−	0.946595i	−0.0180219	−	0.127639i
$56$	−1.03619	+	2.84690i	−0.138466	+	0.380433i
$57$	9.88442	+	8.29402i	1.30922	+	1.09857i
$58$	−12.0506	−	2.12484i	−1.58232	−	0.279005i
$59$	8.78756	+	1.54948i	1.14404	+	0.201726i	0.713373	−	0.700784i	$-0.247166\pi$
$59$	8.78756	+	1.54948i	1.14404	+	0.201726i	0.430669	+	0.902510i	$0.358278\pi$
$60$	−4.69789	−	2.93138i	−0.606495	−	0.378440i
$61$	−4.71080	−	5.61411i	−0.603156	−	0.718813i	0.374921	−	0.927057i	$-0.377670\pi$
$61$	−4.71080	−	5.61411i	−0.603156	−	0.718813i	−0.978077	+	0.208244i	$0.933225\pi$
$62$	0.00866243	+	0.0237998i	0.00110013	+	0.00302258i
$63$	−5.64144	−	3.25709i	−0.710755	−	0.410354i
$64$	−0.755735	−	1.30897i	−0.0944669	−	0.163621i
$65$	−3.23848	+	15.2840i	−0.401684	+	1.89575i
$66$	−1.66835	−	0.963221i	−0.205359	−	0.118564i
$67$	−5.36476	+	0.945953i	−0.655410	+	0.115567i	−0.491457	−	0.870902i	$-0.663536\pi$
$67$	−5.36476	+	0.945953i	−0.655410	+	0.115567i	−0.163953	+	0.986468i	$0.552425\pi$
$68$	2.83065			0.343266
$69$	−16.6374	+	2.93362i	−2.00291	+	0.353166i
$70$	−2.39659	+	5.94274i	−0.286448	+	0.710293i
$71$	0.117250	+	0.0426755i	0.0139150	+	0.00506465i	0.348968	−	0.937135i	$-0.386532\pi$
$71$	0.117250	+	0.0426755i	0.0139150	+	0.00506465i	−0.335053	+	0.942199i	$0.608754\pi$
$72$	6.64574	−	2.41885i	0.783208	−	0.285065i
$73$			9.60997i			1.12476i	0.826878	+	0.562381i	$0.190115\pi$
$73$			9.60997i			1.12476i	−0.826878	+	0.562381i	$0.809885\pi$
$74$	−10.0532	+	2.79577i	−1.16866	+	0.325002i
$75$	10.8976	+	7.33020i	1.25834	+	0.846419i
$76$	−1.58399	−	4.35197i	−0.181696	−	0.499205i
$77$	−0.244265	+	0.671113i	−0.0278366	+	0.0764804i
$78$	20.2370	+	24.1175i	2.29139	+	2.73077i
$79$	3.72035	−	0.655999i	0.418573	−	0.0738056i	0.0396046	−	0.999215i	$-0.487390\pi$
$79$	3.72035	−	0.655999i	0.418573	−	0.0738056i	0.378968	+	0.925410i	$0.376279\pi$
$80$	−5.25174	−	9.86183i	−0.587162	−	1.10259i
$81$	−0.953697	−	5.40869i	−0.105966	−	0.600965i
$82$	6.95138	−	12.0401i	0.767652	−	1.32961i
$83$	10.6061	−	12.6399i	1.16417	−	1.38740i	0.257121	−	0.966379i	$-0.417226\pi$
$83$	10.6061	−	12.6399i	1.16417	−	1.38740i	0.907049	−	0.421025i	$-0.138330\pi$
$84$	2.06841	+	3.58260i	0.225683	+	0.390894i
$85$	−6.70970	−	0.230003i	−0.727769	−	0.0249473i
$86$	0.600916	−	0.218715i	0.0647984	−	0.0235847i
$87$	14.3530	−	12.0436i	1.53880	−	1.29121i
$88$	−0.387684	−	0.671489i	−0.0413273	−	0.0715810i
$89$	−0.556714	−	0.0981638i	−0.0590116	−	0.0104053i	0.144064	−	0.989568i	$-0.453983\pi$
$89$	−0.556714	−	0.0981638i	−0.0590116	−	0.0104053i	−0.203076	+	0.979163i	$0.565094\pi$
$90$	14.2231	−	4.63146i	1.49925	−	0.488198i
$91$	7.50239	−	8.94100i	0.786464	−	0.937272i
$92$	5.69799	+	2.07390i	0.594057	+	0.216219i
$93$	−0.0364422	−	0.0132639i	−0.00377888	−	0.00137540i
$94$	−0.623741	+	0.743346i	−0.0643340	+	0.0766703i
$95$	3.40102	+	10.4445i	0.348938	+	1.07158i
$96$	−12.7903	−	2.25527i	−1.30540	−	0.230178i
$97$	0.805580	+	1.39531i	0.0817942	+	0.141672i	0.904021	−	0.427489i	$-0.140602\pi$
$97$	0.805580	+	1.39531i	0.0817942	+	0.141672i	−0.822226	+	0.569161i	$0.807268\pi$
$98$	−5.53171	+	4.64166i	−0.558787	+	0.468878i
$99$	1.56663	−	0.570207i	0.157452	−	0.0573080i
$100$	−2.07188	−	4.23420i	−0.207188	−	0.423420i
$101$	−6.72409	−	11.6465i	−0.669072	−	1.15887i	−0.978164	−	0.207834i	$-0.933359\pi$
$101$	−6.72409	−	11.6465i	−0.669072	−	1.15887i	0.309092	−	0.951032i	$-0.399975\pi$
$102$	−8.69622	+	10.3637i	−0.861054	+	1.02616i
$103$	2.35786	−	4.08394i	0.232327	−	0.402403i	−0.726165	−	0.687520i	$-0.758699\pi$
$103$	2.35786	−	4.08394i	0.232327	−	0.402403i	0.958493	+	0.285118i	$0.0920326\pi$
$104$	2.20040	+	12.4791i	0.215767	+	1.22367i
$105$	−4.61182	−	8.66017i	−0.450067	−	0.845146i
$106$	−2.54586	+	0.448904i	−0.247276	+	0.0436014i
$107$	7.22090	+	8.60554i	0.698071	+	0.831929i	0.992307	−	0.123804i	$-0.0395095\pi$
$107$	7.22090	+	8.60554i	0.698071	+	0.831929i	−0.294236	+	0.955733i	$0.595065\pi$
$108$	0.761911	−	2.09333i	0.0733149	−	0.201431i
$109$	−0.822178	−	2.25892i	−0.0787504	−	0.216365i	0.894069	−	0.447928i	$-0.147838\pi$
$109$	−0.822178	−	2.25892i	−0.0787504	−	0.216365i	−0.972820	+	0.231564i	$0.925616\pi$
$110$	−0.770837	−	1.44749i	−0.0734964	−	0.138013i
$111$	6.61536	−	14.5437i	0.627902	−	1.38043i
$112$			8.34699i			0.788716i
$113$	1.03712	−	0.377482i	0.0975643	−	0.0355105i	−0.292777	−	0.956181i	$-0.594579\pi$
$113$	1.03712	−	0.377482i	0.0975643	−	0.0355105i	0.390341	+	0.920670i	$0.372357\pi$
$114$	20.8000	+	7.57057i	1.94809	+	0.709049i
$115$	−13.3379	−	5.37891i	−1.24376	−	0.501586i
$116$	−6.62280	+	1.16778i	−0.614911	+	0.108425i
$117$	−27.2460			−2.51890
$118$	15.0747	−	2.65807i	1.38773	−	0.244695i
$119$	4.34358	+	2.50777i	0.398175	+	0.229886i
$120$	10.4208	+	2.20803i	0.951285	+	0.201565i
$121$	5.40861	+	9.36799i	0.491692	+	0.851635i
$122$	−10.8877	−	6.28602i	−0.985727	−	0.569110i
$123$	7.28089	+	20.0041i	0.656495	+	1.80371i
$124$	0.00894724	+	0.0106629i	0.000803486	+	0.000957557i
$125$	4.56708	+	10.2050i	0.408492	+	0.912762i
$126$	−11.0050	−	1.94048i	−0.980404	−	0.172872i
$127$	4.61677	+	0.814061i	0.409672	+	0.0722362i	0.374686	−	0.927152i	$-0.377750\pi$
$127$	4.61677	+	0.814061i	0.409672	+	0.0722362i	0.0349855	+	0.999388i	$0.488861\pi$
$128$	−9.56158	−	8.02312i	−0.845133	−	0.709150i
$129$	−0.334897	+	0.920121i	−0.0294860	+	0.0810121i
$130$	3.74700	+	26.5379i	0.328633	+	2.32753i
$131$	−10.7426	+	12.8025i	−0.938583	+	1.11856i	0.0541873	+	0.998531i	$0.482743\pi$
$131$	−10.7426	+	12.8025i	−0.938583	+	1.11856i	−0.992770	+	0.120029i	$0.961701\pi$
$132$	−1.04266	−	0.183848i	−0.0907515	−	0.0160019i
$133$	1.42495	−	8.08132i	0.123559	−	0.700739i
$134$	−8.09299	+	4.67249i	−0.699128	+	0.403642i
$135$	−1.97611	+	4.90008i	−0.170076	+	0.421731i
$136$	−5.11683	+	1.86237i	−0.438765	+	0.159697i
$137$	−13.9164	−	8.03463i	−1.18896	−	0.686445i	−0.230888	−	0.972980i	$-0.574163\pi$
$137$	−13.9164	−	8.03463i	−1.18896	−	0.686445i	−0.958070	+	0.286535i	$0.907496\pi$
$138$	−25.0983	+	14.4905i	−2.13651	+	1.23351i
$139$	−11.1539	−	9.35919i	−0.946057	−	0.793836i	0.0325719	−	0.999469i	$-0.489630\pi$
$139$	−11.1539	−	9.35919i	−0.946057	−	0.793836i	−0.978629	+	0.205633i	$0.934075\pi$
$140$	−0.120647	+	3.51955i	−0.0101966	+	0.297456i
$141$	−0.258011	−	1.46325i	−0.0217285	−	0.123228i
$142$	0.214046			0.0179623
$143$	0.518710	+	2.94175i	0.0433767	+	0.246001i
$144$	14.9264	−	12.5247i	1.24387	−	1.04373i
$145$	15.7934	−	2.22994i	1.31157	−	0.185186i
$146$	5.63837	+	15.4913i	0.466634	+	1.28207i
$147$		−	11.0570i		−	0.911965i
$148$	−4.66635	+	3.33353i	−0.383572	+	0.274015i
$149$	−17.5651			−1.43899			−0.719495	−	0.694498i	$-0.755627\pi$
$149$	−17.5651			−1.43899			−0.719495	+	0.694498i	$0.755627\pi$
$150$	21.8677	+	5.42246i	1.78549	+	0.442742i
$151$	9.65936	+	3.51572i	0.786068	+	0.286105i	0.703700	−	0.710497i	$-0.251530\pi$
$151$	9.65936	+	3.51572i	0.786068	+	0.286105i	0.0823672	+	0.996602i	$0.473752\pi$
$152$	5.72660	+	6.82469i	0.464488	+	0.553556i
$153$	−2.03310	−	11.5303i	−0.164366	−	0.932167i
$154$			1.22515i			0.0987254i
$155$	−0.0203419	−	0.0260021i	−0.00163390	−	0.00208854i
$156$	14.9845	+	8.65131i	1.19972	+	0.692659i
$157$	−6.02638	+	7.18196i	−0.480958	+	0.573183i	−0.950894	−	0.309517i	$-0.899832\pi$
$157$	−6.02638	+	7.18196i	−0.480958	+	0.573183i	0.469936	+	0.882700i	$0.344277\pi$
$158$	5.61232	−	3.24028i	0.446493	−	0.257783i
$159$	1.97918	−	3.42804i	0.156959	−	0.271861i
$160$	−8.22104	−	7.39273i	−0.649931	−	0.584446i
$161$	6.90613	+	8.23040i	0.544279	+	0.648646i
$162$	−4.71074	−	8.15925i	−0.370111	−	0.641051i
$163$	1.89546	−	10.7497i	0.148464	−	0.841978i	−0.816057	−	0.577971i	$-0.803845\pi$
$163$	1.89546	−	10.7497i	0.148464	−	0.841978i	0.964521	−	0.264007i	$-0.0850443\pi$
$164$	1.32680	−	7.52465i	0.103606	−	0.587576i
$165$	2.45655	+	0.520510i	0.191242	+	0.0405216i
$166$	9.68097	−	26.5983i	0.751389	−	2.06443i
$167$	−14.7836	−	5.38077i	−1.14399	−	0.416377i	−0.300635	−	0.953739i	$-0.597198\pi$
$167$	−14.7836	−	5.38077i	−1.14399	−	0.416377i	−0.843351	+	0.537363i	$0.819421\pi$
$168$	−6.09609	−	5.11522i	−0.470323	−	0.394648i
$169$	6.21966	−	35.2734i	0.478435	−	2.71334i
$170$	−10.9510	+	3.56595i	−0.839902	+	0.273496i
$171$	−16.5895	+	9.57794i	−1.26863	+	0.732443i
$172$	0.269225	−	0.225907i	0.0205282	−	0.0172252i
$173$	0.586713	+	1.61198i	0.0446070	+	0.122557i	0.959996	−	0.280014i	$-0.0903391\pi$
$173$	0.586713	+	1.61198i	0.0446070	+	0.122557i	−0.915389	+	0.402570i	$0.868117\pi$
$174$	16.0708	−	27.8354i	1.21832	−	2.11020i
$175$	0.571959	−	8.33285i	0.0432360	−	0.629904i
$176$	−1.63646	−	1.37315i	−0.123353	−	0.103505i
$177$	−11.7192	+	20.2982i	−0.880868	+	1.52571i
$178$	−0.955018	+	0.168396i	−0.0715817	+	0.0126218i
$179$			7.89413i			0.590035i	0.955492	+	0.295017i	$0.0953254\pi$
$179$			7.89413i			0.590035i	−0.955492	+	0.295017i	$0.904675\pi$
$180$	6.47482	−	5.06537i	0.482605	−	0.377550i
$181$	5.73829	−	4.81499i	0.426523	−	0.357896i	−0.404115	−	0.914708i	$-0.632420\pi$
$181$	5.73829	−	4.81499i	0.426523	−	0.357896i	0.830638	+	0.556813i	$0.187976\pi$
$182$	6.84799	−	18.8147i	0.507607	−	1.39464i
$183$	18.0894	−	6.58399i	1.33720	−	0.486702i
$184$	−11.6645			−0.859917
$185$	11.3319	−	7.52256i	0.833135	−	0.553069i
$186$	−0.0665271			−0.00487800
$187$	−1.20621	+	0.439026i	−0.0882071	+	0.0321048i
$188$	−0.182399	+	0.501137i	−0.0133028	+	0.0365492i
$189$	3.02369	−	2.53718i	0.219941	−	0.184553i
$190$	11.6104	+	14.8411i	0.842311	+	1.07669i
$191$			8.85787i			0.640933i	0.947260	+	0.320467i	$0.103840\pi$
$191$			8.85787i			0.640933i	−0.947260	+	0.320467i	$0.896160\pi$
$192$	3.90986	−	0.689414i	0.282170	−	0.0497542i
$193$	−0.261545	+	0.453010i	−0.0188264	+	0.0326083i	−0.875285	−	0.483607i	$-0.839326\pi$
$193$	−0.261545	+	0.453010i	−0.0188264	+	0.0326083i	0.856459	+	0.516216i	$0.172660\pi$
$194$	2.11725	+	1.77658i	0.152010	+	0.127551i
$195$	−34.8159	−	21.7244i	−2.49322	−	1.55572i
$196$	−1.98431	+	3.43692i	−0.141736	+	0.245495i
$197$	−2.07315	−	5.69593i	−0.147706	−	0.405818i	0.843671	−	0.536860i	$-0.180390\pi$
$197$	−2.07315	−	5.69593i	−0.147706	−	0.405818i	−0.991377	+	0.131042i	$0.958168\pi$
$198$	2.19086	−	1.83835i	0.155698	−	0.130646i
$199$	16.9905	−	9.80946i	1.20442	−	0.695374i	0.242888	−	0.970054i	$-0.421905\pi$
$199$	16.9905	−	9.80946i	1.20442	−	0.695374i	0.961536	+	0.274680i	$0.0885720\pi$
$200$	6.53105	+	6.29081i	0.461815	+	0.444827i
$201$	2.48474	−	14.0916i	0.175260	−	0.993947i
$202$	−17.6724	−	14.8289i	−1.24343	−	1.04336i
$203$	−11.1971	−	4.07542i	−0.785885	−	0.286039i
$204$	−2.54301	+	6.98686i	−0.178046	+	0.489178i
$205$	−3.75642	+	17.7284i	−0.262360	+	1.23821i
$206$	1.40475	−	7.96672i	0.0978734	−	0.555068i
$207$	4.35520	−	24.6996i	0.302708	−	1.71674i
$208$	17.4560	+	30.2346i	1.21035	+	2.09639i
$209$	1.34996	+	1.60882i	0.0933785	+	0.111284i
$210$	−12.5153	−	11.2544i	−0.863641	−	0.776624i
$211$	−8.56083	+	14.8278i	−0.589352	+	1.02079i	0.404965	+	0.914332i	$0.367284\pi$
$211$	−8.56083	+	14.8278i	−0.589352	+	1.02079i	−0.994317	+	0.106456i	$0.966050\pi$
$212$	−1.23040	+	0.710374i	−0.0845045	+	0.0487887i
$213$	−0.210671	+	0.251068i	−0.0144349	+	0.0172029i
$214$	16.6891	+	9.63548i	1.14085	+	0.658668i
$215$	−0.656520	+	0.513607i	−0.0447743	+	0.0350277i
$216$			4.28531i			0.291578i
$217$	0.00428275	+	0.0242887i	0.000290732	+	0.00164882i
$218$	−2.65070	−	3.15898i	−0.179528	−	0.213953i
$219$	−23.7202	−	8.63345i	−1.60286	−	0.583395i
$220$	−0.670174	−	0.602650i	−0.0451831	−	0.0406307i
$221$	20.9779			1.41112
$222$	2.13086	−	27.3259i	0.143014	−	1.83399i
$223$			0.304844i			0.0204139i	0.999948	+	0.0102069i	$0.00324903\pi$
$223$			0.304844i			0.0204139i	−0.999948	+	0.0102069i	$0.996751\pi$
$224$	2.82497	+	7.76154i	0.188751	+	0.518590i
$225$	−15.7593	+	11.4807i	−1.05062	+	0.765381i
$226$	1.45037	−	1.21700i	0.0964770	−	0.0809538i
$227$	4.43298	+	25.1407i	0.294227	+	1.66865i	0.670327	+	0.742066i	$0.266154\pi$
$227$	4.43298	+	25.1407i	0.294227	+	1.66865i	−0.376099	+	0.926579i	$0.622735\pi$
$228$	12.1649			0.805643
$229$	0.244271	+	1.38533i	0.0161419	+	0.0915451i	0.991814	−	0.127688i	$-0.0407556\pi$
$229$	0.244271	+	1.38533i	0.0161419	+	0.0915451i	−0.975673	+	0.219233i	$0.929644\pi$
$230$	−24.6565	−	0.845207i	−1.62580	−	0.0557313i
$231$	−1.43706	−	1.20584i	−0.0945515	−	0.0793381i
$232$	11.2034	−	6.46829i	0.735540	−	0.424664i
$233$	−16.9040	−	9.75956i	−1.10742	−	0.639370i	−0.169261	−	0.985571i	$-0.554138\pi$
$233$	−16.9040	−	9.75956i	−1.10742	−	0.639370i	−0.938160	+	0.346201i	$0.887471\pi$
$234$	−43.9206	+	15.9858i	−2.87118	+	1.04502i
$235$	0.473074	−	1.17306i	0.0308599	−	0.0765221i
$236$	7.28551	−	4.20629i	0.474247	−	0.273806i
$237$	−1.72311	+	9.77226i	−0.111928	+	0.634776i
$238$	8.47320	+	1.49405i	0.549236	+	0.0968452i
$239$	−11.4105	+	13.5985i	−0.738081	+	0.879611i	−0.996253	−	0.0864882i	$-0.972436\pi$
$239$	−11.4105	+	13.5985i	−0.738081	+	0.879611i	0.258172	+	0.966099i	$0.416880\pi$
$240$	29.0599	−	4.10310i	1.87581	−	0.264854i
$241$	−8.51291	+	23.3890i	−0.548365	+	1.50662i	0.287552	+	0.957765i	$0.407159\pi$
$241$	−8.51291	+	23.3890i	−0.548365	+	1.50662i	−0.835917	+	0.548856i	$0.815064\pi$
$242$	14.2151	+	11.9279i	0.913779	+	0.766752i
$243$	21.1879	+	3.73600i	1.35921	+	0.239665i
$244$	−6.80442	−	1.19980i	−0.435608	−	0.0768095i
$245$	4.98282	−	7.98557i	0.318341	−	0.510179i
$246$	23.4736	+	27.9747i	1.49662	+	1.78360i
$247$	−11.7389	−	32.2523i	−0.746927	−	2.05217i
$248$	−0.0231890	−	0.0133882i	−0.00147250	−	0.000850149i
$249$	21.6705	+	37.5344i	1.37331	+	2.37865i
$250$	13.3496	+	13.7708i	0.844303	+	0.870945i
$251$	−16.9756	−	9.80085i	−1.07149	−	0.618624i	−0.142901	−	0.989737i	$-0.545643\pi$
$251$	−16.9756	−	9.80085i	−1.07149	−	0.618624i	−0.928588	+	0.371113i	$0.878976\pi$
$252$	−6.04817	+	1.06646i	−0.380999	+	0.0671804i
$253$	−2.74972			−0.172874
$254$	7.91986	−	1.39648i	0.496936	−	0.0876232i
$255$	6.59560	−	16.3549i	0.413033	−	1.02418i
$256$	−17.2800	−	6.28939i	−1.08000	−	0.393087i
$257$	−4.78399	+	1.74123i	−0.298417	+	0.108615i	−0.486890	−	0.873463i	$-0.661869\pi$
$257$	−4.78399	+	1.74123i	−0.298417	+	0.108615i	0.188472	+	0.982079i	$0.439646\pi$
$258$			1.67973i			0.104575i
$259$	−10.1137	+	0.981169i	−0.628436	+	0.0609669i
$260$	6.92338	+	13.0009i	0.429370	+	0.806281i
$261$	9.51358	+	26.1384i	0.588876	+	1.61792i
$262$	−9.80555	+	26.9405i	−0.605789	+	1.66439i
$263$	−7.44580	−	8.87356i	−0.459128	−	0.547167i	0.485961	−	0.873980i	$-0.338470\pi$
$263$	−7.44580	−	8.87356i	−0.459128	−	0.547167i	−0.945089	+	0.326813i	$0.894025\pi$
$264$	2.00572	−	0.353663i	0.123444	−	0.0217664i
$265$	2.97424	−	1.58388i	0.182706	−	0.0972968i
$266$	−2.44445	−	13.8631i	−0.149879	−	0.850004i
$267$	0.742440	−	1.28594i	0.0454366	−	0.0786985i
$268$	−3.30126	+	3.93429i	−0.201656	+	0.240325i
$269$	−2.80727	−	4.86233i	−0.171162	−	0.296461i	0.767664	−	0.640852i	$-0.221419\pi$
$269$	−2.80727	−	4.86233i	−0.171162	−	0.296461i	−0.938826	+	0.344391i	$0.888085\pi$
$270$	−0.310513	+	9.05835i	−0.0188972	+	0.551273i
$271$	28.4713	−	10.3627i	1.72951	−	0.629490i	0.730913	−	0.682470i	$-0.239094\pi$
$271$	28.4713	−	10.3627i	1.72951	−	0.629490i	0.998596	+	0.0529808i	$0.0168722\pi$
$272$	−11.4924	+	9.64331i	−0.696832	+	0.584711i
$273$	15.3290	+	26.5505i	0.927751	+	1.60691i
$274$	−27.1473	−	4.78680i	−1.64003	−	0.289181i
$275$	1.53960	+	1.48296i	0.0928411	+	0.0894260i
$276$	−10.2380	+	12.2011i	−0.616254	+	0.734422i
$277$	3.72068	+	1.35421i	0.223554	+	0.0813669i	0.451369	−	0.892338i	$-0.350936\pi$
$277$	3.72068	+	1.35421i	0.223554	+	0.0813669i	−0.227815	+	0.973704i	$0.573158\pi$
$278$	−23.4712	−	8.54283i	−1.40771	−	0.512365i
$279$	0.0370076	−	0.0441040i	0.00221559	−	0.00264044i
$280$	−2.09754	−	6.44150i	−0.125352	−	0.384954i
$281$	11.8788	+	2.09455i	0.708629	+	0.124950i	0.516335	−	0.856387i	$-0.327296\pi$
$281$	11.8788	+	2.09455i	0.708629	+	0.124950i	0.192294	+	0.981337i	$0.438407\pi$
$282$	−1.27443	−	2.20739i	−0.0758915	−	0.131448i
$283$	−22.8220	+	19.1499i	−1.35663	+	1.13834i	−0.379618	+	0.925143i	$0.623945\pi$
$283$	−22.8220	+	19.1499i	−1.35663	+	1.13834i	−0.977008	+	0.213202i	$0.931611\pi$
$284$	0.110542	−	0.0402338i	0.00655944	−	0.00238744i
$285$	−28.8355	−	0.988458i	−1.70807	−	0.0585512i
$286$	2.56214	+	4.43776i	0.151503	+	0.262410i
$287$	8.70229	−	10.3710i	0.513680	−	0.612180i
$288$	9.64059	−	16.6980i	0.568077	−	0.983938i
$289$	−1.38665	−	7.86410i	−0.0815678	−	0.462594i
$290$	24.1506	−	12.8610i	1.41817	−	0.755222i
$291$	−4.16774	+	0.734885i	−0.244317	+	0.0430797i
$292$	5.82375	+	6.94047i	0.340809	+	0.406160i
$293$	−0.804913	+	2.21148i	−0.0470235	+	0.129196i	−0.960981	−	0.276613i	$-0.910788\pi$
$293$	−0.804913	+	2.21148i	−0.0470235	+	0.129196i	0.913958	+	0.405809i	$0.133010\pi$
$294$	−6.48736	−	17.8239i	−0.378351	−	1.03951i
$295$	−17.6112	+	9.37851i	−1.02536	+	0.546038i
$296$	6.24191	−	9.09601i	0.362803	−	0.528695i
$297$			1.01020i			0.0586175i
$298$	−28.3150	+	10.3058i	−1.64024	+	0.596999i
$299$	42.2277	+	15.3696i	2.44209	+	0.888847i
$300$	12.3126	−	1.31006i	0.710867	−	0.0756363i
$301$	0.613259	−	0.108134i	0.0353477	−	0.00623275i
$302$	17.6336			1.01470
$303$	34.7877	−	6.13401i	1.99850	−	0.352389i
$304$	21.2571	+	12.2728i	1.21918	+	0.703891i
$305$	16.0315	+	3.39687i	0.917963	+	0.194504i
$306$	−10.0424	−	17.3939i	−0.574086	−	0.994346i
$307$	12.0465	+	6.95508i	0.687533	+	0.396947i	0.802687	−	0.596400i	$-0.203403\pi$
$307$	12.0465	+	6.95508i	0.687533	+	0.396947i	−0.115154	+	0.993348i	$0.536736\pi$
$308$	0.230290	+	0.632716i	0.0131220	+	0.0360523i
$309$	7.96209	+	9.48884i	0.452947	+	0.539801i
$310$	−0.0480471	−	0.0299804i	−0.00272889	−	0.00170277i
$311$	0.879479	+	0.155076i	0.0498707	+	0.00879355i	0.198528	−	0.980095i	$-0.436384\pi$
$311$	0.879479	+	0.155076i	0.0498707	+	0.00879355i	−0.148657	+	0.988889i	$0.547495\pi$
$312$	−32.7788	−	5.77978i	−1.85573	−	0.327216i
$313$	16.3592	+	13.7270i	0.924679	+	0.775898i	0.974854	−	0.222843i	$-0.0715337\pi$
$313$	16.3592	+	13.7270i	0.924679	+	0.775898i	−0.0501757	+	0.998740i	$0.515978\pi$
$314$	−5.50073	+	15.1131i	−0.310424	+	0.852883i
$315$	14.4231	−	2.03646i	0.812648	−	0.114741i
$316$	2.28936	−	2.72835i	0.128786	−	0.153482i
$317$	12.5932	+	2.22052i	0.707305	+	0.124717i	0.515717	−	0.856759i	$-0.327525\pi$
$317$	12.5932	+	2.22052i	0.707305	+	0.124717i	0.191587	+	0.981476i	$0.438637\pi$
$318$	1.17914	−	6.68722i	0.0661227	−	0.375001i
$319$	2.64103	−	1.52480i	0.147869	−	0.0853724i
$320$	3.13446	+	1.26407i	0.175222	+	0.0706636i
$321$	−27.7281	+	10.0922i	−1.54763	+	0.563292i
$322$	15.9616	+	9.21545i	0.889506	+	0.513557i
$323$	12.7729	−	7.37445i	0.710704	−	0.410325i
$324$	−3.96650	−	3.32829i	−0.220361	−	0.184905i
$325$	−15.3546	−	31.3795i	−0.851722	−	1.74062i
$326$	−3.25157	−	18.4406i	−0.180088	−	1.02133i
$327$	6.31429			0.349181
$328$	2.55232	+	14.4749i	0.140928	+	0.799243i
$329$	−0.723862	+	0.607392i	−0.0399078	+	0.0334866i
$330$	4.26535	−	0.602243i	0.234800	−	0.0331524i
$331$	2.17587	+	5.97815i	0.119596	+	0.328589i	0.985017	−	0.172458i	$-0.0551708\pi$
$331$	2.17587	+	5.97815i	0.119596	+	0.328589i	−0.865420	+	0.501046i	$0.832949\pi$
$332$		−	15.5561i		−	0.853752i
$333$	16.9303	+	16.6135i	0.927774	+	0.910413i
$334$	−26.9881			−1.47672
$335$	8.14490	−	9.05749i	0.445004	−	0.494864i
$336$	−20.6028	−	7.49880i	−1.12397	−	0.409093i
$337$	0.0717537	+	0.0855128i	0.00390867	+	0.00465818i	0.767995	−	0.640456i	$-0.221254\pi$
$337$	0.0717537	+	0.0855128i	0.00390867	+	0.00465818i	−0.764087	+	0.645114i	$0.776810\pi$
$338$	−10.6695	−	60.5100i	−0.580347	−	3.29131i
$339$			2.89905i			0.157455i
$340$	−4.98523	+	3.90004i	−0.270362	+	0.211509i
$341$	−0.00546645	−	0.00315605i	−0.000296025	−	0.000170910i
$342$	−21.1227	+	25.1730i	−1.14218	+	1.36120i
$343$	−16.2166	+	9.36265i	−0.875613	+	0.505536i
$344$	−0.338034	+	0.585493i	−0.0182256	+	0.0315676i
$345$	25.2592	−	28.0894i	1.35991	−	1.51228i
$346$	1.89156	+	2.25428i	0.101691	+	0.121191i
$347$	7.78573	+	13.4853i	0.417960	+	0.723928i	0.995734	−	0.0922687i	$-0.0294119\pi$
$347$	7.78573	+	13.4853i	0.417960	+	0.723928i	−0.577774	+	0.816197i	$0.696079\pi$
$348$	3.06740	−	17.3961i	0.164430	−	0.932529i
$349$	5.42156	−	30.7472i	0.290210	−	1.64586i	−0.395850	−	0.918315i	$-0.629550\pi$
$349$	5.42156	−	30.7472i	0.290210	−	1.64586i	0.686059	−	0.727546i	$-0.259339\pi$
$350$	−3.96705	−	13.7681i	−0.212048	−	0.735938i
$351$	5.64650	−	15.5136i	0.301388	−	0.828057i
$352$	−1.98641	−	0.722996i	−0.105876	−	0.0385358i
$353$	23.2677	+	19.5239i	1.23842	+	1.03915i	0.997646	+	0.0685727i	$0.0218445\pi$
$353$	23.2677	+	19.5239i	1.23842	+	1.03915i	0.240770	+	0.970582i	$0.422600\pi$
$354$	−6.98195	+	39.5966i	−0.371087	+	2.10454i
$355$	−0.265294	+	0.0863873i	−0.0140804	+	0.00458496i
$356$	−0.461556	+	0.266480i	−0.0244624	+	0.0141234i
$357$	−10.0921	+	8.46828i	−0.534131	+	0.448189i
$358$	4.63164	+	12.7253i	0.244790	+	0.672555i
$359$	−3.53580	+	6.12419i	−0.186613	+	0.323222i	−0.944119	−	0.329606i	$-0.893084\pi$
$359$	−3.53580	+	6.12419i	−0.186613	+	0.323222i	0.757506	+	0.652828i	$0.226418\pi$
$360$	−8.37157	+	13.4164i	−0.441220	+	0.707108i
$361$	−3.93050	−	3.29808i	−0.206868	−	0.173583i
$362$	6.42507	−	11.1285i	0.337694	−	0.584903i
$363$	−27.9819	+	4.93397i	−1.46867	+	0.258966i
$364$		−	11.0039i		−	0.576759i
$365$	−13.2405	−	16.9247i	−0.693041	−	0.885881i
$366$	25.2971	−	21.2268i	1.32230	−	1.10954i
$367$	−6.69123	+	18.3840i	−0.349280	+	0.959638i	0.633318	+	0.773892i	$0.281692\pi$
$367$	−6.69123	+	18.3840i	−0.349280	+	0.959638i	−0.982598	+	0.185746i	$0.940530\pi$
$368$	−30.1991	+	10.9916i	−1.57424	+	0.572976i
$369$	−31.6036			−1.64522
$370$	13.8533	−	18.7750i	0.720200	−	0.976066i
$371$	−2.51738			−0.130696
$372$	−0.0343572	+	0.0125050i	−0.00178134	+	0.000648354i
$373$	1.54606	−	4.24777i	0.0800521	−	0.219941i	−0.893210	−	0.449641i	$-0.851552\pi$
$373$	1.54606	−	4.24777i	0.0800521	−	0.219941i	0.973262	+	0.229699i	$0.0737743\pi$
$374$	−1.68683	+	1.41542i	−0.0872240	+	0.0731896i
$375$	−29.2919	+	2.10488i	−1.51263	+	0.108696i
$376$		−	1.02589i		−	0.0529062i
$377$	−49.0814	+	8.65437i	−2.52782	+	0.445723i
$378$	3.38558	−	5.86400i	0.174135	−	0.301611i
$379$	7.58210	+	6.36214i	0.389466	+	0.326801i	0.816405	−	0.577479i	$-0.195964\pi$
$379$	7.58210	+	6.36214i	0.389466	+	0.326801i	−0.426939	+	0.904280i	$0.640408\pi$
$380$	8.78575	+	5.48212i	0.450700	+	0.281227i
$381$	−6.15697	+	10.6642i	−0.315431	+	0.546343i
$382$	5.19709	+	14.2789i	0.265906	+	0.730572i
$383$	−8.87956	+	7.45084i	−0.453725	+	0.380720i	−0.840816	−	0.541321i	$-0.817924\pi$
$383$	−8.87956	+	7.45084i	−0.453725	+	0.380720i	0.387091	+	0.922041i	$0.373480\pi$
$384$	28.3934	−	16.3929i	1.44894	−	0.836548i
$385$	−0.494462	−	1.51849i	−0.0252001	−	0.0773892i
$386$	−0.155821	+	0.883705i	−0.00793108	+	0.0449794i
$387$	−1.11357	−	0.934396i	−0.0566060	−	0.0474980i
$388$	1.42737	+	0.519521i	0.0724639	+	0.0263747i
$389$	5.53142	−	15.1974i	0.280454	−	0.770541i	−0.716855	−	0.697223i	$-0.754419\pi$
$389$	5.53142	−	15.1974i	0.280454	−	0.770541i	0.997309	−	0.0733183i	$-0.0233589\pi$
$390$	−68.8694	−	14.5925i	−3.48734	−	0.738922i
$391$	−3.35325	+	19.0172i	−0.169581	+	0.961743i
$392$	1.32568	−	7.51831i	0.0669570	−	0.379732i
$393$	−21.9493	−	38.0174i	−1.10720	−	1.91772i
$394$	−6.68383	−	7.96548i	−0.336726	−	0.401295i
$395$	−5.64832	+	6.28119i	−0.284198	+	0.316041i
$396$	0.785894	−	1.36121i	0.0394927	−	0.0684033i
$397$	33.2457	−	19.1944i	1.66855	−	0.963339i	0.700134	−	0.714012i	$-0.253124\pi$
$397$	33.2457	−	19.1944i	1.66855	−	0.963339i	0.968419	−	0.249328i	$-0.0802096\pi$
$398$	21.6333	−	25.7815i	1.08438	−	1.29231i
$399$	18.6669	+	10.7773i	0.934514	+	0.539542i
$400$	22.8367	+	10.1325i	1.14183	+	0.506625i
$401$		−	28.1059i		−	1.40354i	−0.712404	−	0.701770i	$-0.752393\pi$
$401$		−	28.1059i		−	1.40354i	0.712404	−	0.701770i	$-0.247607\pi$
$402$	−4.26245	−	24.1736i	−0.212592	−	1.20567i
$403$	0.0663077	+	0.0790225i	0.00330302	+	0.00393639i
$404$	−11.9141	−	4.33639i	−0.592750	−	0.215743i
$405$	9.13165	+	8.21158i	0.453755	+	0.408037i
$406$	−20.4409			−1.01447
$407$	1.47143	−	2.14425i	0.0729363	−	0.106286i
$408$		−	14.3030i		−	0.708102i
$409$	2.81704	+	7.73977i	0.139294	+	0.382707i	0.989650	−	0.143500i	$-0.0458358\pi$
$409$	2.81704	+	7.73977i	0.139294	+	0.382707i	−0.850356	+	0.526207i	$0.823614\pi$
$410$	4.34627	+	30.7822i	0.214647	+	1.52022i
$411$	32.3341	−	27.1315i	1.59492	−	1.33830i
$412$	−0.772026	−	4.37838i	−0.0380350	−	0.215707i
$413$	14.9060			0.733476
$414$	−7.47116	−	42.3710i	−0.367187	−	2.08242i
$415$	−1.26401	+	36.8738i	−0.0620476	+	1.81006i
$416$	26.4643	+	22.2062i	1.29752	+	1.08875i
$417$	33.1217	−	19.1228i	1.62197	−	0.936448i
$418$	3.12006	+	1.80137i	0.152607	+	0.0881077i
$419$	17.9741	−	6.54204i	0.878092	−	0.319599i	0.136653	−	0.990619i	$-0.456366\pi$
$419$	17.9741	−	6.54204i	0.878092	−	0.319599i	0.741440	+	0.671020i	$0.234143\pi$
$420$	−8.57888	−	3.45970i	−0.418607	−	0.168816i
$421$	−16.0666	+	9.27604i	−0.783037	+	0.452086i	−0.837505	−	0.546429i	$-0.815987\pi$
$421$	−16.0666	+	9.27604i	−0.783037	+	0.452086i	0.0544688	+	0.998515i	$0.482653\pi$
$422$	−5.10030	+	28.9252i	−0.248279	+	1.40806i
$423$	2.17232	+	0.383039i	0.105622	+	0.0186240i
$424$	1.75677	−	2.09363i	0.0853161	−	0.101676i
$425$	12.1338	−	8.83948i	0.588574	−	0.428778i
$426$	−0.192295	+	0.528327i	−0.00931674	+	0.0255975i
$427$	−9.37831	−	7.86934i	−0.453848	−	0.380824i
$428$	10.4301	+	1.83911i	0.504158	+	0.0888966i
$429$	−7.72709	−	1.36249i	−0.373068	−	0.0657819i
$430$	−0.756967	+	1.21313i	−0.0365042	+	0.0585023i
$431$	−16.1850	−	19.2885i	−0.779604	−	0.929095i	0.219312	−	0.975655i	$-0.429619\pi$
$431$	−16.1850	−	19.2885i	−0.779604	−	0.929095i	−0.998916	+	0.0465594i	$0.985174\pi$
$432$	4.03810	+	11.0946i	0.194283	+	0.533788i
$433$	15.9131	+	9.18743i	0.764735	+	0.441520i	0.830993	−	0.556283i	$-0.187773\pi$
$433$	15.9131	+	9.18743i	0.764735	+	0.441520i	−0.0662583	+	0.997803i	$0.521106\pi$
$434$	0.0211545	+	0.0366406i	0.00101545	+	0.00175881i
$435$	−8.68441	+	40.9861i	−0.416386	+	1.96513i
$436$	−1.96272	−	1.13318i	−0.0939971	−	0.0542692i
$437$	31.1144	−	5.48631i	1.48840	−	0.262446i
$438$	−43.3024			−2.06907
$439$	8.85906	−	1.56209i	0.422820	−	0.0745546i	0.0418101	−	0.999126i	$-0.486688\pi$
$439$	8.85906	−	1.56209i	0.422820	−	0.0745546i	0.381010	+	0.924571i	$0.375576\pi$
$440$	1.60795	+	0.648454i	0.0766558	+	0.0309138i
$441$	15.4251	+	5.61427i	0.734528	+	0.267346i
$442$	33.8163	−	12.3081i	1.60848	−	0.585438i
$443$		−	16.0874i		−	0.764336i	−0.924093	−	0.382168i	$-0.875178\pi$
$443$		−	16.0874i		−	0.764336i	0.924093	−	0.382168i	$-0.124822\pi$
$444$	−4.03595	−	14.5127i	−0.191538	−	0.688742i
$445$	1.11571	−	0.594153i	0.0528899	−	0.0281656i
$446$	0.178858	+	0.491409i	0.00846918	+	0.0232689i
$447$	15.7802	−	43.3558i	0.746379	−	2.05066i
$448$	−1.62297	−	1.93418i	−0.0766782	−	0.0913815i
$449$	18.9301	−	3.33789i	0.893367	−	0.157525i	0.291925	−	0.956441i	$-0.405704\pi$
$449$	18.9301	−	3.33789i	0.893367	−	0.157525i	0.601442	+	0.798916i	$0.294593\pi$
$450$	−18.6681	+	27.7532i	−0.880022	+	1.30830i
$451$	0.601669	+	3.41224i	0.0283315	+	0.160676i
$452$	0.520268	−	0.901131i	0.0244714	−	0.0423857i
$453$	−17.3556	+	20.6836i	−0.815439	+	0.971802i
$454$	21.8965	+	37.9259i	1.02765	+	1.77995i
$455$	−0.894115	+	26.0833i	−0.0419167	+	1.22280i
$456$	−21.9900	+	8.00371i	−1.02978	+	0.374808i
$457$	−4.53576	+	3.80596i	−0.212174	+	0.178035i	−0.742681	−	0.669645i	$-0.766446\pi$
$457$	−4.53576	+	3.80596i	−0.212174	+	0.178035i	0.530507	+	0.847681i	$0.322002\pi$
$458$	1.20657	+	2.08983i	0.0563791	+	0.0976515i
$459$	6.98657	+	1.23192i	0.326105	+	0.0575011i
$460$	−12.8925	+	4.19816i	−0.601115	+	0.195740i
$461$	−13.5188	+	16.1111i	−0.629633	+	0.750368i	−0.982695	−	0.185232i	$-0.940696\pi$
$461$	−13.5188	+	16.1111i	−0.629633	+	0.750368i	0.353061	+	0.935600i	$0.385141\pi$
$462$	−3.02403	−	1.10066i	−0.140690	−	0.0512071i
$463$	−20.5462	−	7.47821i	−0.954863	−	0.347542i	−0.182845	−	0.983142i	$-0.558531\pi$
$463$	−20.5462	−	7.47821i	−0.954863	−	0.347542i	−0.772019	+	0.635600i	$0.780753\pi$
$464$	22.9103	−	27.3034i	1.06358	−	1.26753i
$465$	0.0824556	−	0.0268499i	0.00382379	−	0.00124513i
$466$	−32.9755	−	5.81446i	−1.52756	−	0.269350i
$467$	2.16910	+	3.75700i	0.100374	+	0.173853i	0.911839	−	0.410548i	$-0.134663\pi$
$467$	2.16910	+	3.75700i	0.100374	+	0.173853i	−0.811465	+	0.584401i	$0.801329\pi$
$468$	−19.6775	+	16.5114i	−0.909594	+	0.763240i
$469$	−8.55124	+	3.11240i	−0.394860	+	0.143717i
$470$	0.0743358	−	2.16854i	0.00342885	−	0.100027i
$471$	−12.3132	−	21.3270i	−0.567361	−	0.982698i
$472$	−10.4022	+	12.3969i	−0.478802	+	0.570613i
$473$	−0.0796864	+	0.138021i	−0.00366398	+	0.00634621i
$474$	2.95592	+	16.7639i	0.135770	+	0.769990i
$475$	−20.3801	−	13.7086i	−0.935102	−	0.628992i
$476$	4.65673	−	0.821108i	0.213441	−	0.0376354i
$477$	3.77735	+	4.50167i	0.172953	+	0.206117i
$478$	−10.4152	+	28.6155i	−0.476379	+	1.30884i
$479$	−3.73305	−	10.2565i	−0.170567	−	0.468629i	0.824727	−	0.565531i	$-0.191329\pi$
$479$	−3.73305	−	10.2565i	−0.170567	−	0.468629i	−0.995294	+	0.0969019i	$0.969107\pi$
$480$	25.6331	−	13.6504i	1.16998	−	0.623054i
$481$	−34.5822	+	24.7047i	−1.57681	+	1.12644i
$482$			42.6978i			1.94483i
$483$	−26.5194	+	9.65227i	−1.20667	+	0.439193i
$484$	9.58328	+	3.48803i	0.435604	+	0.158547i
$485$	−3.34119	−	1.34744i	−0.151716	−	0.0611841i
$486$	36.3469	−	6.40894i	1.64873	−	0.290715i
$487$	−20.3387			−0.921633			−0.460816	−	0.887495i	$-0.652443\pi$
$487$	−20.3387			−0.921633			−0.460816	+	0.887495i	$0.652443\pi$
$488$	13.0894	−	2.30802i	0.592531	−	0.104479i
$489$	24.8304	+	14.3359i	1.12287	+	0.648290i
$490$	3.34702	−	15.7963i	0.151203	−	0.713602i
$491$	2.88116	+	4.99031i	0.130025	+	0.225210i	0.923686	−	0.383151i	$-0.125161\pi$
$491$	2.88116	+	4.99031i	0.130025	+	0.225210i	−0.793661	+	0.608360i	$0.791828\pi$
$492$	17.3811	+	10.0350i	0.783598	+	0.452411i
$493$	−7.32490	−	20.1250i	−0.329897	−	0.906384i
$494$	−37.8462	−	45.1033i	−1.70278	−	2.02929i
$495$	−1.97347	+	3.16272i	−0.0887008	+	0.142154i
$496$	−0.0726517	−	0.0128105i	−0.00326216	−	0.000575206i
$497$	0.205269	+	0.0361944i	0.00920755	+	0.00162354i
$498$	56.9550	+	47.7909i	2.55222	+	2.14156i
$499$	−8.00650	+	21.9977i	−0.358420	+	0.984752i	0.621157	+	0.783686i	$0.286663\pi$
$499$	−8.00650	+	21.9977i	−0.358420	+	0.984752i	−0.979578	+	0.201066i	$0.935559\pi$
$500$	9.48275	+	4.60250i	0.424081	+	0.205830i
$501$	26.5626	−	31.6561i	1.18673	−	1.41429i
$502$	−33.1150	−	5.83907i	−1.47799	−	0.260610i
$503$	2.83512	−	16.0787i	0.126412	−	0.716916i	−0.854048	−	0.520195i	$-0.825859\pi$
$503$	2.83512	−	16.0787i	0.126412	−	0.716916i	0.980459	−	0.196721i	$-0.0630294\pi$
$504$	10.2313	−	5.90707i	0.455740	−	0.263122i
$505$	27.8886	+	11.2469i	1.24103	+	0.500482i
$506$	−4.43255	+	1.61332i	−0.197051	+	0.0717207i
$507$	81.4775	+	47.0411i	3.61854	+	2.08917i
$508$	3.82763	−	2.20988i	0.169824	−	0.0980477i
$509$	−20.1582	−	16.9147i	−0.893495	−	0.749731i	0.0754132	−	0.997152i	$-0.475972\pi$
$509$	−20.1582	−	16.9147i	−0.893495	−	0.749731i	−0.968908	+	0.247421i	$0.920417\pi$
$510$	1.03639	−	30.2338i	0.0458922	−	1.33878i
$511$	2.78764	+	15.8095i	0.123318	+	0.699370i
$512$	−6.58191			−0.290882
$513$	−2.01556	−	11.4308i	−0.0889893	−	0.504684i
$514$	−6.69019	+	5.61373i	−0.295091	+	0.247611i
$515$	1.47423	+	10.4411i	0.0649622	+	0.460091i
$516$	0.315736	+	0.867476i	0.0138995	+	0.0381885i
$517$		−	0.241837i		−	0.0106360i
$518$	−15.7276	+	7.51557i	−0.691033	+	0.330215i
$519$	−4.50593			−0.197788
$520$	−21.0688	−	18.9460i	−0.923927	−	0.830836i
$521$	−22.9143	−	8.34013i	−1.00389	−	0.365388i	−0.212809	−	0.977094i	$-0.568261\pi$
$521$	−22.9143	−	8.34013i	−1.00389	−	0.365388i	−0.791085	+	0.611706i	$0.790483\pi$
$522$	30.6718	+	36.5532i	1.34247	+	1.59989i
$523$	−4.31501	−	24.4717i	−0.188682	−	1.07007i	−0.921132	−	0.389250i	$-0.872734\pi$
$523$	−4.31501	−	24.4717i	−0.188682	−	1.07007i	0.732450	−	0.680821i	$-0.238377\pi$
$524$			15.7563i			0.688316i
$525$	20.0541	+	8.89786i	0.875231	+	0.388335i
$526$	−17.2089	−	9.93558i	−0.750345	−	0.433212i
$527$	−0.0284937	+	0.0339575i	−0.00124121	+	0.00147921i
$528$	4.85951	−	2.80564i	0.211483	−	0.122100i
$529$	−9.18311	+	15.9056i	−0.399266	+	0.691549i
$530$	3.86518	−	4.29826i	0.167893	−	0.186704i
$531$	−22.3666	−	26.6554i	−0.970627	−	1.15675i
$532$	−3.86824	−	6.69999i	−0.167710	−	0.290482i
$533$	9.83287	−	55.7650i	0.425909	−	2.41545i
$534$	0.442325	−	2.50855i	0.0191413	−	0.108555i
$535$	−24.5738	−	5.20687i	−1.06242	−	0.225113i
$536$	3.37904	−	9.28384i	0.145952	−	0.401001i
$537$	−19.4850	−	7.09196i	−0.840840	−	0.306041i
$538$	−7.37814	−	6.19099i	−0.318094	−	0.266913i
$539$	0.312509	−	1.77233i	0.0134607	−	0.0763395i
$540$	1.54232	+	4.73645i	0.0663710	+	0.203825i
$541$	30.4328	−	17.5704i	1.30841	−	0.755409i	0.326577	−	0.945171i	$-0.394105\pi$
$541$	30.4328	−	17.5704i	1.30841	−	0.755409i	0.981830	+	0.189762i	$0.0607716\pi$
$542$	39.8157	−	33.4094i	1.71023	−	1.43506i
$543$	6.72962	+	18.4895i	0.288796	+	0.793460i
$544$	−7.42268	+	12.8565i	−0.318245	+	0.551216i
$545$	4.56030	+	2.84553i	0.195342	+	0.121889i
$546$	40.2880	+	33.8057i	1.72417	+	1.44675i
$547$	−14.0423	+	24.3219i	−0.600404	+	1.03993i	0.392356	+	0.919813i	$0.371660\pi$
$547$	−14.0423	+	24.3219i	−0.600404	+	1.03993i	−0.992760	+	0.120116i	$0.961673\pi$
$548$	−14.9197	+	2.63075i	−0.637338	+	0.112380i
$549$			28.5787i			1.21971i
$550$	3.35191	+	1.48722i	0.142926	+	0.0634154i
$551$	−26.8422	+	22.5233i	−1.14352	+	0.959524i
$552$	10.4792	−	28.7913i	0.446024	−	1.22544i
$553$	5.93011	−	2.15838i	0.252174	−	0.0917838i
$554$	6.79227			0.288576
$555$	8.38749	+	34.7285i	0.356029	+	1.47414i
$556$	−13.7273			−0.582165
$557$	−33.6736	+	12.2562i	−1.42680	+	0.519312i	−0.936012	−	0.351969i	$-0.885512\pi$
$557$	−33.6736	+	12.2562i	−1.42680	+	0.519312i	−0.490785	+	0.871280i	$0.663290\pi$
$558$	0.0337796	−	0.0928088i	0.00143001	−	0.00392891i
$559$	1.99522	−	1.67419i	0.0843888	−	0.0708106i
$560$	−11.5004	−	14.7004i	−0.485980	−	0.621205i
$561$		−	3.37170i		−	0.142353i
$562$	20.3775	−	3.59311i	0.859574	−	0.151566i
$563$	−15.2544	+	26.4214i	−0.642897	+	1.11353i	0.341885	+	0.939742i	$0.388935\pi$
$563$	−15.2544	+	26.4214i	−0.642897	+	1.11353i	−0.984783	+	0.173789i	$0.944399\pi$
$564$	−1.07309	−	0.900428i	−0.0451851	−	0.0379148i
$565$	−1.30645	+	2.09375i	−0.0549629	+	0.0880845i
$566$	−25.5534	+	44.2598i	−1.07409	+	1.86038i
$567$	−3.13788	−	8.62125i	−0.131778	−	0.362058i
$568$	−0.173350	+	0.145458i	−0.00727360	+	0.00610327i
$569$	−18.7342	+	10.8162i	−0.785379	+	0.453439i	−0.838333	−	0.545158i	$-0.816470\pi$
$569$	−18.7342	+	10.8162i	−0.785379	+	0.453439i	0.0529545	+	0.998597i	$0.483136\pi$
$570$	−47.0628	+	15.3250i	−1.97124	+	0.641892i
$571$	−1.90986	+	10.8314i	−0.0799253	+	0.453279i	0.918411	+	0.395627i	$0.129473\pi$
$571$	−1.90986	+	10.8314i	−0.0799253	+	0.453279i	−0.998337	+	0.0576523i	$0.981639\pi$
$572$	2.15735	+	1.81023i	0.0902034	+	0.0756896i
$573$	−21.8638	−	7.95777i	−0.913374	−	0.332441i
$574$	7.94323	−	21.8238i	0.331544	−	0.910909i
$575$	30.9011	−	8.90364i	1.28867	−	0.371307i
$576$	−1.02349	+	5.80452i	−0.0426456	+	0.241855i
$577$	−3.66949	+	20.8107i	−0.152763	+	0.866360i	0.808040	+	0.589127i	$0.200528\pi$
$577$	−3.66949	+	20.8107i	−0.152763	+	0.866360i	−0.960803	+	0.277233i	$0.910583\pi$
$578$	−6.84931	−	11.8634i	−0.284894	−	0.493450i
$579$	−0.883191	−	1.05255i	−0.0367042	−	0.0437423i
$580$	10.0549	−	11.1815i	0.417506	−	0.464285i
$581$	13.7817	−	23.8706i	0.571760	−	0.990318i
$582$	−6.28723	+	3.62993i	−0.260614	+	0.150466i
$583$	0.414131	−	0.493542i	0.0171515	−	0.0204404i
$584$	−15.0937	−	8.71434i	−0.624581	−	0.360602i
$585$	47.9847	−	37.5393i	1.98392	−	1.55206i
$586$			4.03717i			0.166774i
$587$	0.906979	+	5.14373i	0.0374350	+	0.212305i	0.997787	−	0.0664842i	$-0.0211782\pi$
$587$	0.906979	+	5.14373i	0.0374350	+	0.212305i	−0.960352	+	0.278789i	$0.910067\pi$
$588$	−6.70066	−	7.98553i	−0.276330	−	0.329318i
$589$	0.0681524	+	0.0248054i	0.00280817	+	0.00102209i
$590$	−22.8867	+	25.4510i	−0.942229	+	1.04780i
$591$	15.9217			0.654931
$592$	7.58890	−	29.4312i	0.311902	−	1.20962i
$593$			6.71165i			0.275615i	0.990459	+	0.137807i	$0.0440055\pi$
$593$			6.71165i			0.275615i	−0.990459	+	0.137807i	$0.955995\pi$
$594$	0.592702	+	1.62844i	0.0243189	+	0.0668155i
$595$	−11.1049	+	1.56795i	−0.455257	+	0.0642798i
$596$	−12.6858	+	10.6446i	−0.519630	+	0.436022i
$597$	8.94862	+	50.7501i	0.366242	+	2.07706i
$598$	77.0887			3.15239
$599$	0.345294	+	1.95826i	0.0141083	+	0.0800124i	0.991049	−	0.133499i	$-0.0426212\pi$
$599$	0.345294	+	1.95826i	0.0141083	+	0.0800124i	−0.976941	+	0.213511i	$0.931510\pi$
$600$	−21.3950	+	10.4690i	−0.873445	+	0.427394i
$601$	−30.7617	−	25.8121i	−1.25479	−	1.05290i	−0.996216	−	0.0869068i	$-0.972302\pi$
$601$	−30.7617	−	25.8121i	−1.25479	−	1.05290i	−0.258578	−	0.965990i	$-0.583254\pi$
$602$	0.925129	−	0.534124i	0.0377054	−	0.0217693i
$603$	18.3969	+	10.6215i	0.749181	+	0.432540i
$604$	9.10670	−	3.31457i	0.370547	−	0.134868i
$605$	−22.4326	−	9.04663i	−0.912013	−	0.367798i
$606$	52.4788	−	30.2987i	2.13181	−	1.23080i
$607$	−1.94611	+	11.0369i	−0.0789902	+	0.447976i	0.919502	+	0.393085i	$0.128592\pi$
$607$	−1.94611	+	11.0369i	−0.0789902	+	0.447976i	−0.998492	+	0.0548909i	$0.982519\pi$
$608$	23.9197	+	4.21769i	0.970073	+	0.171050i
$609$	20.1187	−	23.9765i	0.815250	−	0.971577i
$610$	27.8359	−	3.93027i	1.12704	−	0.159132i
$611$	−1.35175	+	3.71391i	−0.0546861	+	0.150249i
$612$	−8.45581	−	7.09526i	−0.341806	−	0.286809i
$613$	19.1743	+	3.38095i	0.774443	+	0.136555i	0.546883	−	0.837209i	$-0.315814\pi$
$613$	19.1743	+	3.38095i	0.774443	+	0.136555i	0.227560	+	0.973764i	$0.426925\pi$
$614$	23.4997	+	4.14364i	0.948372	+	0.167224i
$615$	−40.3842	−	25.1989i	−1.62845	−	1.01612i
$616$	−0.832568	−	0.992216i	−0.0335451	−	0.0399775i
$617$	7.59343	+	20.8628i	0.305700	+	0.839903i	0.993482	+	0.113987i	$0.0363621\pi$
$617$	7.59343	+	20.8628i	0.305700	+	0.839903i	−0.687782	+	0.725917i	$0.741416\pi$
$618$	18.4022	+	10.6245i	0.740244	+	0.427380i
$619$	−15.3013	−	26.5025i	−0.615009	−	1.06523i	−0.990383	−	0.138354i	$-0.955819\pi$
$619$	−15.3013	−	26.5025i	−0.615009	−	1.06523i	0.375374	−	0.926874i	$-0.377514\pi$
$620$	−0.0304488	−	0.00645170i	−0.00122285	−	0.000259106i
$621$	13.1611	+	7.59858i	0.528138	+	0.304921i
$622$	1.50871	−	0.266026i	0.0604936	−	0.0106667i
$623$	−0.944333			−0.0378339
$624$	−90.3100	+	15.9241i	−3.61529	+	0.637474i
$625$	−22.1037	−	11.6802i	−0.884148	−	0.467207i
$626$	34.4250	+	12.5297i	1.37590	+	0.500787i
$627$	−5.18381	+	1.88675i	−0.207021	+	0.0753496i
$628$			8.83898i			0.352714i
$629$	−13.0353	−	12.7914i	−0.519753	−	0.510026i
$630$	22.0552	−	11.7451i	0.878699	−	0.467935i
$631$	7.75051	+	21.2944i	0.308543	+	0.847715i	0.992941	+	0.118607i	$0.0378427\pi$
$631$	7.75051	+	21.2944i	0.308543	+	0.847715i	−0.684398	+	0.729108i	$0.739935\pi$
$632$	−2.34329	+	6.43815i	−0.0932113	+	0.256096i
$633$	−28.9084	−	34.4517i	−1.14901	−	1.36933i
$634$	21.6031	−	3.80920i	0.857967	−	0.151283i
$635$	−9.25249	+	4.92724i	−0.367174	+	0.195532i
$636$	−0.648034	−	3.67518i	−0.0256962	−	0.145731i
$637$	−14.7057	+	25.4710i	−0.582660	+	1.00920i
$638$	3.36271	−	4.00752i	0.133131	−	0.158659i
$639$	−0.243283	−	0.421379i	−0.00962414	−	0.0166695i
$640$	27.8937	+	0.956174i	1.10259	+	0.0377961i
$641$	−30.3848	+	11.0592i	−1.20013	+	0.436811i	−0.863269	−	0.504745i	$-0.831587\pi$
$641$	−30.3848	+	11.0592i	−1.20013	+	0.436811i	−0.336858	+	0.941555i	$0.609364\pi$
$642$	−38.7764	+	32.5373i	−1.53038	+	1.28414i
$643$	−11.0344	−	19.1122i	−0.435155	−	0.753710i	0.562154	−	0.827033i	$-0.309973\pi$
$643$	−11.0344	−	19.1122i	−0.435155	−	0.753710i	−0.997308	+	0.0733229i	$0.976640\pi$
$644$	9.97542	+	1.75894i	0.393087	+	0.0693118i
$645$	−0.677925	−	2.08190i	−0.0266933	−	0.0819747i
$646$	16.2632	−	19.3817i	0.639868	−	0.762565i
$647$	−15.4245	−	5.61405i	−0.606399	−	0.220711i	0.0205280	−	0.999789i	$-0.493465\pi$
$647$	−15.4245	−	5.61405i	−0.606399	−	0.220711i	−0.626927	+	0.779078i	$0.715687\pi$
$648$	9.35984	+	3.40670i	0.367689	+	0.133828i
$649$	−2.45217	+	2.92238i	−0.0962560	+	0.114713i
$650$	−43.1627	−	41.5749i	−1.69298	−	1.63070i
$651$	−0.0637991	−	0.0112495i	−0.00250049	−	0.000440903i
$652$	−5.14548	−	8.91224i	−0.201513	−	0.349030i
$653$	4.22378	−	3.54417i	0.165289	−	0.138694i	−0.556391	−	0.830920i	$-0.687814\pi$
$653$	4.22378	−	3.54417i	0.165289	−	0.138694i	0.721681	+	0.692226i	$0.243370\pi$
$654$	10.1786	−	3.70472i	0.398016	−	0.144866i
$655$	1.28027	−	37.3483i	0.0500243	−	1.45932i
$656$	20.2478	+	35.0702i	0.790543	+	1.36926i
$657$	24.0882	−	28.7072i	0.939772	−	1.11998i
$658$	−0.810496	+	1.40382i	−0.0315964	+	0.0547266i
$659$	4.40233	+	24.9669i	0.171491	+	0.972571i	0.942117	+	0.335284i	$0.108832\pi$
$659$	4.40233	+	24.9669i	0.171491	+	0.972571i	−0.770626	+	0.637287i	$0.780057\pi$
$660$	2.08959	−	1.11277i	0.0813372	−	0.0433146i
$661$	29.2762	−	5.16218i	1.13871	−	0.200785i	0.427669	−	0.903935i	$-0.359335\pi$
$661$	29.2762	−	5.16218i	1.13871	−	0.200785i	0.711042	+	0.703150i	$0.248224\pi$
$662$	7.01500	+	8.36015i	0.272646	+	0.324926i
$663$	−18.8462	+	51.7795i	−0.731925	+	2.01095i
$664$	10.2349	+	28.1201i	0.397190	+	1.09127i
$665$	8.62478	+	16.1958i	0.334455	+	0.628047i
$666$	37.0391	+	16.8476i	1.43524	+	0.652831i
$667$		−	45.8775i		−	1.77639i
$668$	−13.9377	+	5.07292i	−0.539267	+	0.196277i
$669$	−0.752444	−	0.273867i	−0.0290912	−	0.0105883i
$670$	7.81537	−	19.3795i	0.301934	−	0.748694i
$671$	3.08563	−	0.544080i	0.119119	−	0.0210040i
$672$	−21.6957			−0.836928
$673$	4.47228	−	0.788584i	0.172394	−	0.0303977i	−0.0867849	−	0.996227i	$-0.527659\pi$
$673$	4.47228	−	0.788584i	0.172394	−	0.0303977i	0.259179	+	0.965829i	$0.416548\pi$
$674$	0.165839	+	0.0957472i	0.00638788	+	0.00368805i
$675$	−3.27103	−	11.3525i	−0.125902	−	0.436958i
$676$	−16.8842	−	29.2442i	−0.649391	−	1.12478i
$677$	−27.0750	−	15.6318i	−1.04058	−	0.600778i	−0.120581	−	0.992704i	$-0.538476\pi$
$677$	−27.0750	−	15.6318i	−1.04058	−	0.600778i	−0.919997	+	0.391926i	$0.871809\pi$
$678$	1.70093	+	4.67326i	0.0653238	+	0.179476i
$679$	1.73002	+	2.06175i	0.0663919	+	0.0791228i
$680$	6.44561	−	10.3299i	0.247178	−	0.396132i
$681$	−66.0371	−	11.6441i	−2.53055	−	0.446203i
$682$	−0.0106636	−	0.00188029i	−0.000408332	−	7.19999e-5i
$683$	6.27119	+	5.26215i	0.239960	+	0.201351i	0.754835	−	0.655915i	$-0.227717\pi$
$683$	6.27119	+	5.26215i	0.239960	+	0.201351i	−0.514874	+	0.857266i	$0.672161\pi$
$684$	−6.17685	+	16.9707i	−0.236178	+	0.648893i
$685$	35.5791	−	5.02356i	1.35941	−	0.191940i
$686$	−20.6479	+	24.6072i	−0.788340	+	0.939507i
$687$	−3.63885	−	0.641627i	−0.138831	−	0.0244796i
$688$	−0.323448	+	1.83436i	−0.0123313	+	0.0699345i
$689$	−9.11849	+	5.26456i	−0.347387	+	0.200564i
$690$	24.2373	−	60.1002i	0.922698	−	2.28798i
$691$	43.3876	−	15.7918i	1.65054	−	0.600749i	0.661708	−	0.749761i	$-0.269832\pi$
$691$	43.3876	−	15.7918i	1.65054	−	0.600749i	0.988835	+	0.149013i	$0.0476095\pi$
$692$	1.40061	+	0.808643i	0.0532432	+	0.0307400i
$693$	2.41188	−	1.39250i	0.0916198	−	0.0528967i
$694$	20.4627	+	17.1702i	0.776753	+	0.651773i
$695$	32.5387	+	1.11540i	1.23427	+	0.0423096i
$696$	5.90066	+	33.4643i	0.223664	+	1.26846i
$697$	24.3329			0.921676
$698$	−9.30045	−	52.7455i	−0.352027	−	1.99645i
$699$	39.2758	−	32.9563i	1.48555	−	1.24652i
$700$	−4.63672	−	6.36473i	−0.175251	−	0.240564i
$701$	3.23552	+	8.88952i	0.122204	+	0.335753i	0.985677	−	0.168642i	$-0.0539381\pi$
$701$	3.23552	+	8.88952i	0.122204	+	0.335753i	−0.863473	+	0.504394i	$0.831716\pi$
$702$		−	28.3209i		−	1.06890i
$703$	−12.3717	+	27.1990i	−0.466608	+	1.02583i
$704$	0.646197			0.0243545
$705$	2.47046	+	2.22154i	0.0930428	+	0.0836682i
$706$	48.9627	+	17.8210i	1.84273	+	0.670701i
$707$	−14.4403	−	17.2092i	−0.543082	−	0.647220i
$708$	3.83716	+	21.7616i	0.144209	+	0.817853i
$709$			21.3389i			0.801400i	0.916209	+	0.400700i	$0.131233\pi$
$709$			21.3389i			0.801400i	−0.916209	+	0.400700i	$0.868767\pi$
$710$	−0.376969	+	0.294910i	−0.0141474	+	0.0110678i
$711$	−12.7579	−	7.36577i	−0.478458	−	0.276238i
$712$	0.659008	−	0.785376i	0.0246974	−	0.0294332i
$713$	−0.0822360	+	0.0474790i	−0.00307976	+	0.00177810i
$714$	−11.3000	+	19.5721i	−0.422890	+	0.732468i
$715$	−4.96664	−	4.46623i	−0.185742	−	0.167027i
$716$	4.78393	+	5.70126i	0.178784	+	0.213066i
$717$	−23.3140	−	40.3810i	−0.870676	−	1.50806i
$718$	−2.10653	+	11.9467i	−0.0786150	+	0.445848i
$719$	2.26364	−	12.8377i	0.0844196	−	0.478767i	−0.913061	−	0.407824i	$-0.866288\pi$
$719$	2.26364	−	12.8377i	0.0844196	−	0.478767i	0.997480	−	0.0709437i	$-0.0226011\pi$
$720$	−9.03137	+	42.6235i	−0.336579	+	1.58849i
$721$	2.69429	−	7.40250i	0.100341	−	0.275684i
$722$	−8.27102	−	3.01040i	−0.307815	−	0.112036i
$723$	−50.0831	−	42.0247i	−1.86261	−	1.56292i
$724$	1.22634	−	6.95493i	0.0455766	−	0.258478i
$725$	−24.7424	+	25.6873i	−0.918909	+	0.954001i
$726$	−42.2120	+	24.3711i	−1.56664	+	0.904497i
$727$	19.0646	−	15.9971i	0.707068	−	0.593300i	−0.216707	−	0.976237i	$-0.569532\pi$
$727$	19.0646	−	15.9971i	0.707068	−	0.593300i	0.923775	+	0.382936i	$0.125087\pi$
$728$	7.23980	+	19.8912i	0.268325	+	0.737216i
$729$	−20.0183	+	34.6726i	−0.741417	+	1.28417i
$730$	−31.2738	−	19.5142i	−1.15750	−	0.722253i
$731$	0.857384	+	0.719430i	0.0317115	+	0.0266091i
$732$	9.07445	−	15.7174i	0.335401	−	0.580932i
$733$	−18.6565	+	3.28964i	−0.689093	+	0.121506i	−0.507220	−	0.861817i	$-0.669327\pi$
$733$	−18.6565	+	3.28964i	−0.689093	+	0.121506i	−0.181872	+	0.983322i	$0.558216\pi$
$734$			33.5609i			1.23876i
$735$	15.2342	+	19.4732i	0.561922	+	0.718279i
$736$	−24.3610	+	20.4413i	−0.897958	+	0.753476i
$737$	0.796557	−	2.18852i	0.0293415	−	0.0806152i
$738$	−50.9451	+	18.5425i	−1.87531	+	0.682559i
$739$	−21.9185			−0.806283			−0.403142	−	0.915138i	$-0.632082\pi$
$739$	−21.9185			−0.806283			−0.403142	+	0.915138i	$0.632082\pi$
$740$	3.62530	−	12.3001i	0.133269	−	0.452162i
$741$	90.1541			3.31189
$742$	−4.05801	+	1.47700i	−0.148974	+	0.0542222i
$743$	−12.6423	+	34.7345i	−0.463802	+	1.27429i	0.458802	+	0.888539i	$0.348279\pi$
$743$	−12.6423	+	34.7345i	−0.463802	+	1.27429i	−0.922604	+	0.385748i	$0.873943\pi$
$744$	0.0538785	−	0.0452094i	0.00197528	−	0.00165746i
$745$	30.9350	−	24.2010i	1.13337	−	0.886657i
$746$		−	7.75451i		−	0.283913i
$747$	−63.3658	+	11.1731i	−2.31843	+	0.408802i
$748$	−0.605092	+	1.04805i	−0.0221244	+	0.0383205i
$749$	14.3755	+	12.0625i	0.525268	+	0.440752i
$750$	−45.9835	+	20.5792i	−1.67908	+	0.751446i
$751$	13.5948	−	23.5469i	0.496081	−	0.859238i	−0.503908	−	0.863757i	$-0.668105\pi$
$751$	13.5948	−	23.5469i	0.496081	−	0.859238i	0.999990	+	0.00451884i	$0.00143840\pi$
$752$	−0.966707	−	2.65601i	−0.0352522	−	0.0968546i
$753$	39.4420	−	33.0957i	1.43735	−	1.20608i
$754$	−74.0415	+	42.7479i	−2.69643	+	1.55679i
$755$	−21.8556	+	7.11681i	−0.795408	+	0.259007i
$756$	0.646200	−	3.66478i	0.0235021	−	0.133287i
$757$	−4.39755	−	3.68998i	−0.159832	−	0.134115i	0.559364	−	0.828922i	$-0.311045\pi$
$757$	−4.39755	−	3.68998i	−0.159832	−	0.134115i	−0.719196	+	0.694807i	$0.755490\pi$
$758$	15.9551	+	5.80719i	0.579517	+	0.210927i
$759$	2.47031	−	6.78712i	0.0896665	−	0.246357i
$760$	−19.4885	−	4.12935i	−0.706921	−	0.149787i
$761$	−2.18408	+	12.3865i	−0.0791728	+	0.449011i	0.919290	+	0.393581i	$0.128764\pi$
$761$	−2.18408	+	12.3865i	−0.0791728	+	0.449011i	−0.998463	+	0.0554298i	$0.982347\pi$
$762$	−3.66815	+	20.8031i	−0.132883	+	0.753617i
$763$	−2.00784	−	3.47767i	−0.0726885	−	0.125900i
$764$	5.36797	+	6.39729i	0.194206	+	0.231446i
$765$	19.4669	+	17.5055i	0.703828	+	0.632913i
$766$	−9.94230	+	17.2206i	−0.359230	+	0.622205i
$767$	53.9928	−	31.1727i	1.94957	−	1.12558i
$768$	31.0481	−	37.0017i	1.12035	−	1.33518i
$769$	3.29250	+	1.90093i	0.118731	+	0.0685492i	0.558189	−	0.829714i	$-0.311496\pi$
$769$	3.29250	+	1.90093i	0.118731	+	0.0685492i	−0.439459	+	0.898263i	$0.644830\pi$
$770$	−1.68800	−	2.15769i	−0.0608313	−	0.0777577i
$771$		−	13.3726i		−	0.481602i
$772$	0.0856367	+	0.485670i	0.00308213	+	0.0174796i
$773$	4.68694	+	5.58567i	0.168577	+	0.200903i	0.843718	−	0.536786i	$-0.180362\pi$
$773$	4.68694	+	5.58567i	0.168577	+	0.200903i	−0.675141	+	0.737689i	$0.735917\pi$
$774$	−2.34331	−	0.852893i	−0.0842284	−	0.0306566i
$775$	0.0716508	+	0.0177671i	0.00257377	+	0.000638211i
$776$	−2.92201			−0.104894
$777$	6.66420	−	25.8451i	0.239077	−	0.927187i
$778$		−	27.7437i		−	0.994659i
$779$	−13.6163	−	37.4106i	−0.487856	−	1.34037i
$780$	−38.3098	+	5.40913i	−1.37171	+	0.193678i
$781$	−0.0408646	+	0.0342894i	−0.00146225	+	0.00122697i
$782$	5.75235	+	32.6232i	0.205704	+	1.16660i
$783$	−16.8545			−0.602332
$784$	−3.65243	−	20.7140i	−0.130444	−	0.739785i
$785$	0.718208	−	20.9517i	0.0256339	−	0.747798i
$786$	−57.6879	−	48.4059i	−2.05766	−	1.72658i
$787$	−10.1568	+	5.86404i	−0.362051	+	0.209030i	−0.669980	−	0.742379i	$-0.733697\pi$
$787$	−10.1568	+	5.86404i	−0.362051	+	0.209030i	0.307929	+	0.951409i	$0.400364\pi$
$788$	−4.94905	−	2.85734i	−0.176303	−	0.101788i
$789$	28.5917	−	10.4065i	1.01789	−	0.370482i
$790$	−5.41980	+	13.4393i	−0.192828	+	0.478147i
$791$	1.59669	−	0.921847i	0.0567716	−	0.0327771i
$792$	−0.525042	+	2.97766i	−0.0186565	+	0.105807i
$793$	−50.4274	−	8.89171i	−1.79073	−	0.315754i
$794$	42.3303	−	50.4473i	1.50225	−	1.79031i
$795$	1.23746	+	8.76422i	0.0438881	+	0.310835i
$796$	6.32615	−	17.3810i	0.224225	−	0.616052i
$797$	−13.8667	−	11.6356i	−0.491184	−	0.412153i	0.363266	−	0.931685i	$-0.381662\pi$
$797$	−13.8667	−	11.6356i	−0.491184	−	0.412153i	−0.854451	+	0.519533i	$0.826106\pi$
$798$	36.4143	+	6.42083i	1.28905	+	0.227295i
$799$	−1.67256	−	0.294918i	−0.0591710	−	0.0104334i
$800$	24.6642	+	1.69293i	0.872012	+	0.0598541i
$801$	1.41698	+	1.68869i	0.0500665	+	0.0596670i
$802$	−16.4903	−	45.3067i	−0.582292	−	1.59983i
$803$	−3.55810	−	2.05427i	−0.125563	−	0.0724937i
$804$	−6.74517	−	11.6830i	−0.237884	−	0.412027i
$805$	−23.5026	−	4.97989i	−0.828357	−	0.175518i
$806$	0.153252	+	0.0884802i	0.00539808	+	0.00311658i
$807$	14.5236	−	2.56091i	0.511257	−	0.0901483i
$808$	24.3897			0.858025
$809$	28.6696	−	5.05522i	1.00797	−	0.177732i	0.354798	−	0.934943i	$-0.384550\pi$
$809$	28.6696	−	5.05522i	1.00797	−	0.177732i	0.653170	+	0.757211i	$0.273439\pi$
$810$	19.5381	+	7.87935i	0.686500	+	0.276852i
$811$	−12.3357	−	4.48983i	−0.433166	−	0.157659i	0.116229	−	0.993222i	$-0.462919\pi$
$811$	−12.3357	−	4.48983i	−0.433166	−	0.157659i	−0.549395	+	0.835563i	$0.685142\pi$
$812$	−10.5565	+	3.84225i	−0.370461	+	0.134837i
$813$			79.5852i			2.79117i
$814$	1.11388	−	4.31984i	0.0390415	−	0.151410i
$815$	11.4726	+	21.5434i	0.401866	+	0.754634i
$816$	−13.4779	−	37.0301i	−0.471819	−	1.29631i
$817$	0.626306	−	1.72076i	0.0219117	−	0.0602019i
$818$	9.08215	+	10.8237i	0.317550	+	0.378441i
$819$	−44.8228	+	7.90347i	−1.56624	+	0.276170i
$820$	8.03067	+	15.0802i	0.280443	+	0.526623i
$821$	1.55642	+	8.82688i	0.0543193	+	0.308060i	0.999847	−	0.0174810i	$-0.00556466\pi$
$821$	1.55642	+	8.82688i	0.0543193	+	0.308060i	−0.945528	+	0.325541i	$0.894454\pi$
$822$	36.2040	−	62.7071i	1.26276	−	2.18716i
$823$	15.1758	−	18.0858i	0.528995	−	0.630432i	−0.433688	−	0.901063i	$-0.642788\pi$
$823$	15.1758	−	18.0858i	0.528995	−	0.630432i	0.962683	+	0.270631i	$0.0872325\pi$
$824$	4.27623	+	7.40665i	0.148970	+	0.258023i
$825$	−5.04353	+	2.46790i	−0.175593	+	0.0859213i
$826$	24.0285	−	8.74564i	0.836057	−	0.304300i
$827$	−2.76572	+	2.32072i	−0.0961736	+	0.0806993i	−0.689607	−	0.724184i	$-0.742217\pi$
$827$	−2.76572	+	2.32072i	−0.0961736	+	0.0806993i	0.593433	+	0.804883i	$0.297772\pi$
$828$	−11.8228	−	20.4777i	−0.410872	−	0.711650i
$829$	44.6778	+	7.87791i	1.55172	+	0.273611i	0.882811	−	0.469729i	$-0.155648\pi$
$829$	44.6778	+	7.87791i	1.55172	+	0.273611i	0.668914	+	0.743340i	$0.266759\pi$
$830$	19.5970	+	60.1822i	0.680223	+	2.08896i
$831$	−6.68519	+	7.96710i	−0.231907	+	0.276376i
$832$	−9.92370	−	3.61193i	−0.344042	−	0.125221i
$833$	−11.8764	−	4.32266i	−0.411493	−	0.149771i
$834$	42.1724	−	50.2591i	1.46031	−	1.74033i
$835$	33.4498	−	10.8922i	1.15758	−	0.376940i
$836$	1.94992	+	0.343824i	0.0674394	+	0.0118914i
$837$	0.0174429	+	0.0302120i	0.000602914	+	0.00104428i
$838$	25.1359	−	21.0915i	0.868306	−	0.728595i
$839$	−28.6467	+	10.4265i	−0.988994	+	0.359964i	−0.785331	−	0.619077i	$-0.787507\pi$
$839$	−28.6467	+	10.4265i	−0.988994	+	0.359964i	−0.203663	+	0.979041i	$0.565285\pi$
$840$	17.7839	+	0.609618i	0.613603	+	0.0210338i
$841$	10.9404	+	18.9494i	0.377256	+	0.653426i
$842$	−20.4569	+	24.3796i	−0.704990	+	0.840175i
$843$	−15.8417	+	27.4386i	−0.545616	+	0.945035i
$844$	2.80304	+	15.8968i	0.0964846	+	0.547191i
$845$	37.6456	+	70.6917i	1.29505	+	2.43187i
$846$	3.72652	−	0.657087i	0.128121	−	0.0225911i
$847$	11.6152	+	13.8425i	0.399103	+	0.475633i
$848$	2.57538	−	7.07580i	0.0884389	−	0.242984i
$849$	−26.7647	−	73.5353i	−0.918561	−	2.52373i
$850$	14.3733	−	21.3684i	0.493001	−	0.732929i
$851$	−16.8679	−	35.2991i	−0.578224	−	1.21004i
$852$			0.308994i			0.0105860i
$853$	36.9892	−	13.4630i	1.26649	−	0.460963i	0.380546	−	0.924762i	$-0.375736\pi$
$853$	36.9892	−	13.4630i	1.26649	−	0.460963i	0.885940	+	0.463799i	$0.153514\pi$
$854$	−19.7349	−	7.18293i	−0.675316	−	0.245795i
$855$	16.0204	−	39.7251i	0.547886	−	1.35857i
$856$	−20.0640	+	3.53783i	−0.685774	+	0.120920i
$857$	9.75475			0.333216			0.166608	−	0.986023i	$-0.446719\pi$
$857$	9.75475			0.333216			0.166608	+	0.986023i	$0.446719\pi$
$858$	−13.2555	+	2.33730i	−0.452535	+	0.0797940i
$859$	−28.1738	−	16.2661i	−0.961276	−	0.554993i	−0.0647105	−	0.997904i	$-0.520612\pi$
$859$	−28.1738	−	16.2661i	−0.961276	−	0.554993i	−0.896566	+	0.442911i	$0.853946\pi$
$860$	−0.162897	+	0.768794i	−0.00555475	+	0.0262156i
$861$	17.7806	+	30.7969i	0.605961	+	1.04956i
$862$	−37.4072	−	21.5970i	−1.27409	−	0.735598i
$863$	7.46269	+	20.5036i	0.254033	+	0.697950i	0.999506	+	0.0314144i	$0.0100012\pi$
$863$	7.46269	+	20.5036i	0.254033	+	0.697950i	−0.745474	+	0.666535i	$0.767777\pi$
$864$	7.50975	+	8.94977i	0.255487	+	0.304477i
$865$	−3.25427	−	2.03059i	−0.110648	−	0.0690423i
$866$	31.0424	+	5.47361i	1.05486	+	0.186001i
$867$	20.6566	+	3.64232i	0.701536	+	0.123700i
$868$	0.0178123	+	0.0149463i	0.000604588	+	0.000507310i
$869$	−0.552396	+	1.51769i	−0.0187387	+	0.0514843i
$870$	10.0481	+	71.1649i	0.340662	+	2.41271i
$871$	−24.4655	+	29.1569i	−0.828983	+	0.987944i
$872$	4.29347	+	0.757054i	0.145395	+	0.0256371i
$873$	1.09100	−	6.18736i	0.0369247	−	0.209410i
$874$	46.9375	−	27.0994i	1.58768	−	0.916650i
$875$	10.4736	+	15.4635i	0.354072	+	0.522763i
$876$	−22.3631	+	8.13949i	−0.755578	+	0.275008i
$877$	41.7535	+	24.1064i	1.40992	+	0.814016i	0.995380	−	0.0960164i	$-0.0306101\pi$
$877$	41.7535	+	24.1064i	1.40992	+	0.814016i	0.414537	+	0.910032i	$0.363943\pi$
$878$	13.3643	−	7.71588i	0.451023	−	0.260398i
$879$	−4.73546	−	3.97352i	−0.159723	−	0.134023i
$880$	4.77399	+	0.163649i	0.160931	+	0.00551659i
$881$	0.432190	+	2.45107i	0.0145608	+	0.0825786i	0.991222	−	0.132206i	$-0.0422061\pi$
$881$	0.432190	+	2.45107i	0.0145608	+	0.0825786i	−0.976661	+	0.214785i	$0.931095\pi$
$882$	28.1593			0.948171
$883$	7.72122	+	43.7892i	0.259840	+	1.47362i	0.783337	+	0.621597i	$0.213516\pi$
$883$	7.72122	+	43.7892i	0.259840	+	1.47362i	−0.523498	+	0.852027i	$0.675373\pi$
$884$	15.1505	−	12.7128i	0.509568	−	0.427578i
$885$	−7.32729	−	51.8950i	−0.246304	−	1.74443i
$886$	−9.43881	−	25.9329i	−0.317103	−	0.871233i
$887$		−	49.5725i		−	1.66448i	−0.554415	−	0.832240i	$-0.687058\pi$
$887$		−	49.5725i		−	1.66448i	0.554415	−	0.832240i	$-0.312942\pi$
$888$	16.8440	+	23.5786i	0.565247	+	0.791245i
$889$	7.83124			0.262651
$890$	1.44993	−	1.61239i	0.0486018	−	0.0540473i
$891$	2.20644	+	0.803078i	0.0739185	+	0.0269041i
$892$	0.184739	+	0.220163i	0.00618552	+	0.00737161i
$893$	0.482519	+	2.73650i	0.0161469	+	0.0915736i
$894$		−	79.1482i		−	2.64711i
$895$	−10.8764	−	13.9028i	−0.363560	−	0.464721i
$896$	−18.0572	−	10.4253i	−0.603249	−	0.348286i
$897$	−75.8734	+	90.4223i	−2.53334	+	3.01911i
$898$	28.5569	−	16.4874i	0.952957	−	0.550190i
$899$	0.0526570	−	0.0912045i	0.00175621	−	0.00304184i
$900$	−4.42420	+	17.8419i	−0.147473	+	0.594730i
$901$	−2.90834	−	3.46602i	−0.0968907	−	0.115470i
$902$	2.97192	+	5.14752i	0.0989541	+	0.171394i
$903$	−0.284036	+	1.61085i	−0.00945212	+	0.0536057i
$904$	−0.347582	+	1.97124i	−0.0115604	+	0.0655623i
$905$	−3.47201	+	16.3861i	−0.115413	+	0.544694i
$906$	−15.8418	+	43.5249i	−0.526308	+	1.44602i
$907$	−7.46655	−	2.71760i	−0.247923	−	0.0902365i	0.215070	−	0.976599i	$-0.431002\pi$
$907$	−7.46655	−	2.71760i	−0.247923	−	0.0902365i	−0.462993	+	0.886362i	$0.653224\pi$
$908$	18.4371	+	15.4706i	0.611856	+	0.513409i
$909$	−9.10645	+	51.6452i	−0.302042	+	1.71296i
$910$	13.8623	+	42.5709i	0.459530	+	1.41121i
$911$	7.59022	−	4.38222i	0.251475	−	0.145189i	−0.368964	−	0.929444i	$-0.620288\pi$
$911$	7.59022	−	4.38222i	0.251475	−	0.145189i	0.620440	+	0.784254i	$0.286954\pi$
$912$	−49.3898	+	41.4429i	−1.63546	+	1.37231i
$913$	2.41271	+	6.62887i	0.0798491	+	0.219384i
$914$	−5.07862	+	8.79643i	−0.167986	+	0.290960i
$915$	−22.7870	+	36.5188i	−0.753314	+	1.20727i
$916$	1.01594	+	0.852476i	0.0335676	+	0.0281666i
$917$	−13.9590	+	24.1777i	−0.460968	+	0.798419i
$918$	11.9851	−	2.11330i	0.395569	−	0.0697494i
$919$		−	38.6074i		−	1.27354i	−0.771054	−	0.636770i	$-0.780270\pi$
$919$		−	38.6074i		−	1.27354i	0.771054	−	0.636770i	$-0.219730\pi$
$920$	20.5431	−	16.0712i	0.677284	−	0.529852i
$921$	−27.9896	+	23.4861i	−0.922288	+	0.773892i
$922$	−12.3396	+	33.9028i	−0.406384	+	1.11653i
$923$	0.819221	−	0.298172i	0.0269650	−	0.00981445i
$924$	−1.76862			−0.0581832
$925$	−9.59276	+	28.8614i	−0.315408	+	0.948956i
$926$	−37.5081			−1.23259
$927$	−17.2802	+	6.28949i	−0.567558	+	0.206574i
$928$	12.0628	−	33.1422i	0.395980	−	1.08795i
$929$	23.1179	−	19.3983i	0.758475	−	0.636436i	−0.179254	−	0.983803i	$-0.557368\pi$
$929$	23.1179	−	19.3983i	0.758475	−	0.636436i	0.937729	+	0.347366i	$0.112924\pi$
$930$	0.117165	−	0.0916603i	0.00384199	−	0.00300566i
$931$			20.6782i			0.677701i
$932$	−18.1228	+	3.19553i	−0.593631	+	0.104673i
$933$	−1.17288	+	2.03149i	−0.0383985	+	0.0665081i
$934$	5.70090	+	4.78362i	0.186539	+	0.156525i
$935$	1.51945	−	2.43511i	0.0496915	−	0.0796365i
$936$	24.7068	−	42.7934i	0.807566	−	1.39875i
$937$	−10.9491	−	30.0824i	−0.357691	−	0.982749i	−0.979828	−	0.199841i	$-0.935958\pi$
$937$	−10.9491	−	30.0824i	−0.357691	−	0.982749i	0.622137	−	0.782908i	$-0.286265\pi$
$938$	−11.9585	+	10.0344i	−0.390459	+	0.327634i
$939$	−48.5792	+	28.0472i	−1.58532	+	0.915286i
$940$	−0.369227	−	1.13389i	−0.0120429	−	0.0369835i
$941$	4.58504	−	26.0030i	0.149468	−	0.847675i	−0.814203	−	0.580581i	$-0.802826\pi$
$941$	4.58504	−	26.0030i	0.149468	−	0.847675i	0.963671	−	0.267094i	$-0.0860634\pi$
$942$	−32.3618	−	27.1548i	−1.05441	−	0.884751i
$943$	48.9813	+	17.8277i	1.59505	+	0.580551i
$944$	−15.2494	+	41.8975i	−0.496327	+	1.36365i
$945$	−1.82952	+	8.63440i	−0.0595142	+	0.280877i
$946$	−0.0474749	+	0.269243i	−0.00154354	+	0.00875386i
$947$	2.53152	−	14.3570i	0.0822634	−	0.466539i	−0.915650	−	0.401976i	$-0.868324\pi$
$947$	2.53152	−	14.3570i	0.0822634	−	0.466539i	0.997914	−	0.0645631i	$-0.0205654\pi$
$948$	4.67764	+	8.10190i	0.151923	+	0.263138i
$949$	43.1596	+	51.4357i	1.40102	+	1.66967i
$950$	−40.8958	−	10.1408i	−1.32683	−	0.329011i
$951$	−16.7944	+	29.0888i	−0.544597	+	0.943269i
$952$	−7.87753	+	4.54809i	−0.255312	+	0.147405i
$953$	20.6908	−	24.6583i	0.670240	−	0.798761i	−0.318576	−	0.947897i	$-0.603205\pi$
$953$	20.6908	−	24.6583i	0.670240	−	0.798761i	0.988817	+	0.149136i	$0.0476492\pi$
$954$	8.73031	+	5.04044i	0.282654	+	0.163190i
$955$	−12.2043	−	15.6002i	−0.394921	−	0.504809i
$956$			16.7359i			0.541277i
$957$	1.39099	+	7.88869i	0.0449643	+	0.255005i
$958$	−12.0353	−	14.3432i	−0.388844	−	0.463406i
$959$	−25.2247	−	9.18104i	−0.814548	−	0.296471i
$960$	−5.93604	+	6.60114i	−0.191585	+	0.213051i
$961$	30.9998			0.999993
$962$	−41.2517	+	60.1141i	−1.33001	+	1.93816i
$963$		−	43.8066i		−	1.41165i
$964$	8.02585	+	22.0508i	0.258495	+	0.710210i
$965$	−0.163528	−	1.15818i	−0.00526416	−	0.0372831i
$966$	−37.0861	+	31.1189i	−1.19323	+	1.00123i
$967$	−0.187491	−	1.06331i	−0.00602930	−	0.0341938i	0.981645	−	0.190719i	$-0.0610819\pi$
$967$	−0.187491	−	1.06331i	−0.00602930	−	0.0341938i	−0.987674	+	0.156525i	$0.949971\pi$
$968$	−19.6181			−0.630551
$969$	6.72730	+	38.1524i	0.216112	+	1.22563i
$970$	−6.17658	−	0.211728i	−0.198318	−	0.00679819i
$971$	14.9604	+	12.5533i	0.480102	+	0.402854i	0.850463	−	0.526034i	$-0.176322\pi$
$971$	14.9604	+	12.5533i	0.480102	+	0.402854i	−0.370361	+	0.928888i	$0.620766\pi$
$972$	17.5663	−	10.1419i	0.563439	−	0.325302i
$973$	−21.0642	−	12.1614i	−0.675288	−	0.389878i
$974$	−32.7859	+	11.9331i	−1.05053	+	0.382361i
$975$	91.2482	−	9.70882i	2.92228	−	0.310931i
$976$	31.7134	−	18.3097i	1.01512	−	0.586081i
$977$	−1.82678	+	10.3602i	−0.0584437	+	0.331451i	−0.999985	−	0.00544629i	$-0.998266\pi$
$977$	−1.82678	+	10.3602i	−0.0584437	+	0.331451i	0.941541	+	0.336897i	$0.109377\pi$
$978$	48.4378	+	8.54090i	1.54887	+	0.273108i
$979$	0.155351	−	0.185140i	0.00496504	−	0.00591711i
$980$	−1.24067	−	8.78695i	−0.0396316	−	0.280689i
$981$	−3.20613	+	8.80877i	−0.102364	+	0.281242i
$982$	7.57235	+	6.35395i	0.241643	+	0.202763i
$983$	−41.9448	−	7.39599i	−1.33783	−	0.235896i	−0.541471	−	0.840720i	$-0.682132\pi$
$983$	−41.9448	−	7.39599i	−1.33783	−	0.235896i	−0.796359	+	0.604824i	$0.793243\pi$
$984$	−38.0212	−	6.70417i	−1.21207	−	0.213721i
$985$	11.4989	+	7.17509i	0.366387	+	0.228617i
$986$	−23.6155	−	28.1438i	−0.752070	−	0.896282i
$987$	−0.848915	−	2.33237i	−0.0270213	−	0.0742403i
$988$	−28.0232	−	16.1792i	−0.891538	−	0.514730i
$989$	1.19879	+	2.07636i	0.0381191	+	0.0660243i
$990$	−1.32560	+	6.25618i	−0.0421304	+	0.198834i
$991$	−14.6194	−	8.44050i	−0.464399	−	0.268121i	0.249493	−	0.968377i	$-0.419736\pi$
$991$	−14.6194	−	8.44050i	−0.464399	−	0.268121i	−0.713892	+	0.700255i	$0.753069\pi$
$992$	−0.0718916	+	0.0126764i	−0.00228256	+	0.000402477i
$993$	−16.7106			−0.530294
$994$	0.352129	−	0.0620898i	0.0111689	−	0.00196937i
$995$	−16.4076	+	40.6854i	−0.520157	+	1.28981i
$996$	38.3970	+	13.9754i	1.21666	+	0.442827i
$997$	19.8355	−	7.21952i	0.628196	−	0.228644i	−0.00825016	−	0.999966i	$-0.502626\pi$
$997$	19.8355	−	7.21952i	0.628196	−	0.228644i	0.636446	+	0.771321i	$0.280404\pi$
$998$			40.1579i			1.27117i
$999$	−12.9682	+	6.19695i	−0.410296	+	0.196063i

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.104.13	yes	96
5.2	odd	4		925.2.bb.e.326.13		96
5.3	odd	4		925.2.bb.e.326.4		96
5.4	even	2	inner	185.2.v.a.104.4	✓	96
37.21	even	18	inner	185.2.v.a.169.4	yes	96
185.58	odd	36		925.2.bb.e.576.4		96
185.132	odd	36		925.2.bb.e.576.13		96
185.169	even	18	inner	185.2.v.a.169.13	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.v.a.104.4	✓	96	5.4	even	2	inner
185.2.v.a.104.13	yes	96	1.1	even	1	trivial
185.2.v.a.169.4	yes	96	37.21	even	18	inner
185.2.v.a.169.13	yes	96	185.169	even	18	inner
925.2.bb.e.326.4		96	5.3	odd	4
925.2.bb.e.326.13		96	5.2	odd	4
925.2.bb.e.576.4		96	185.58	odd	36
925.2.bb.e.576.13		96	185.132	odd	36

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

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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.104.13

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