LMFDB - Embedded newform 185.2.v.a.104.4

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			104.4
Character	$\chi$	$=$	185.104
Dual form			185.2.v.a.169.4

$q$ -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} +(-2.12618 - 0.692346i) q^{5} +4.50599i q^{6} +(-1.64511 + 0.290078i) q^{7} +(0.906802 - 1.57063i) q^{8} +(-2.98723 - 2.50659i) q^{9} +(3.83362 - 0.131414i) 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} +(-3.61904 + 4.62605i) 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} +(-1.95513 + 0.788468i) 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} +(4.04132 + 2.94411i) 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} +(3.11970 - 9.58056i) q^{30} +0.0147642i q^{31} +(-0.858595 - 4.86933i) q^{32} +(0.721845 + 0.860261i) q^{33} +(4.83992 + 1.76159i) q^{34} +(3.69865 + 0.522228i) q^{35} -3.67645 q^{36} +(6.06435 + 0.472894i) q^{37} +8.42687i q^{38} +(6.27698 + 17.2459i) q^{39} +(-3.01544 + 2.71162i) q^{40} +(6.20835 - 5.20942i) q^{41} +(-1.30709 - 7.41285i) q^{42} -0.372776 q^{43} +(0.0699921 + 0.396945i) q^{44} +(4.61599 + 7.39766i) 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} +(-8.24197 - 2.37478i) 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} +(0.710845 - 0.639223i) 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} +(0.189707 + 5.53418i) 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} +(14.4894 - 5.84331i) q^{65} +(-1.66835 - 0.963221i) q^{66} +(5.36476 - 0.945953i) q^{67} -2.83065 q^{68} +(-16.6374 + 2.93362i) q^{69} +(-6.26862 + 1.32824i) 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} +(3.55404 + 5.69577i) 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} +(-11.7813 - 9.21675i) 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} +(-6.76815 + 8.65140i) 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	−0.841861	−	0.539694i	$-0.818540\pi$
$2$	−1.61200	+	0.586720i	−1.13986	+	0.414874i	−0.297995	+	0.954567i	$0.596318\pi$
$3$	0.898385	−	2.46829i	0.518683	−	1.42507i	−0.353290	−	0.935514i	$-0.614937\pi$
$3$	0.898385	−	2.46829i	0.518683	−	1.42507i	0.871973	−	0.489555i	$-0.162841\pi$
$4$	0.722216	−	0.606011i	0.361108	−	0.303005i
$5$	−2.12618	−	0.692346i	−0.950858	−	0.309626i
$5$	−2.12618	−	0.692346i	−0.950858	−	0.309626i
$6$			4.50599i			1.83956i
$7$	−1.64511	+	0.290078i	−0.621794	+	0.109639i	−0.475665	−	0.879626i	$-0.657793\pi$
$7$	−1.64511	+	0.290078i	−0.621794	+	0.109639i	−0.146129	+	0.989266i	$0.546681\pi$
$8$	0.906802	−	1.57063i	0.320603	−	0.555300i
$9$	−2.98723	−	2.50659i	−0.995745	−	0.835529i
$10$	3.83362	−	0.131414i	1.21230	−	0.0415566i
$11$	−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	$0.698206\pi$
$13$	−5.35232	+	4.49113i	−1.48447	+	1.24562i	−0.901250	+	0.433299i	$0.857350\pi$
$14$	2.48173	−	1.43283i	0.663269	−	0.382939i
$15$	−3.61904	+	4.62605i	−0.934432	+	1.19444i
$16$	−0.867672	+	4.92081i	−0.216918	+	1.23020i
$17$	−2.29999	−	1.92992i	−0.557831	−	0.468075i	0.319752	−	0.947501i	$-0.396400\pi$
$17$	−2.29999	−	1.92992i	−0.557831	−	0.468075i	−0.877582	+	0.479426i	$0.840845\pi$
$18$	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	$-0.0794274\pi$
$20$	−1.95513	+	0.788468i	−0.437181	+	0.176307i
$21$	−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	$-0.932726\pi$
$23$	−3.21583	−	5.56998i	−0.670547	−	1.16142i	0.307203	−	0.951644i	$-0.400607\pi$
$24$	−3.06211	−	3.64928i	−0.625050	−	0.744906i
$25$	4.04132	+	2.94411i	0.808263	+	0.588822i
$26$	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	$0.897082\pi$
$30$	3.11970	−	9.58056i	0.569577	−	1.74916i
$31$			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
$35$	3.69865	+	0.522228i	0.625185	+	0.0882726i
$36$	−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
$40$	−3.01544	+	2.71162i	−0.476784	+	0.428745i
$41$	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	$-0.509049\pi$
$43$	−0.372776			−0.0568479			−0.0284239	+	0.999596i	$0.509049\pi$
$44$	0.0699921	+	0.396945i	0.0105517	+	0.0598417i
$45$	4.61599	+	7.39766i	0.688110	+	1.10278i
$46$	8.45194	+	7.09202i	1.24617	+	1.04566i
$47$	0.489878	−	0.282831i	0.0714561	−	0.0412552i	−0.463846	−	0.885916i	$-0.653531\pi$
$47$	0.489878	−	0.282831i	0.0714561	−	0.0412552i	0.535302	+	0.844661i	$0.320198\pi$
$48$	11.3665	+	6.56245i	1.64061	+	0.947209i
$49$	−3.95560	+	1.43972i	−0.565086	+	0.205674i
$50$	−8.24197	−	2.37478i	−1.16559	−	0.335845i
$51$	−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	0.274642	−	0.961546i	$-0.411441\pi$
$53$	1.48407	+	0.261682i	0.203853	+	0.0359448i	−0.0707890	+	0.997491i	$0.522552\pi$
$54$	2.60547	−	3.10508i	0.354560	−	0.422548i
$55$	0.710845	−	0.639223i	0.0958503	−	0.0861928i
$56$	−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	$0.358278\pi$
$60$	0.189707	+	5.53418i	0.0244911	+	0.714460i
$61$	−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
$65$	14.4894	−	5.84331i	1.79719	−	0.724774i
$66$	−1.66835	−	0.963221i	−0.205359	−	0.118564i
$67$	5.36476	−	0.945953i	0.655410	−	0.115567i	0.163953	−	0.986468i	$-0.447575\pi$
$67$	5.36476	−	0.945953i	0.655410	−	0.115567i	0.491457	+	0.870902i	$0.336464\pi$
$68$	−2.83065			−0.343266
$69$	−16.6374	+	2.93362i	−2.00291	+	0.353166i
$70$	−6.26862	+	1.32824i	−0.749243	+	0.158755i
$71$	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	$-0.809885\pi$
$73$		−	9.60997i		−	1.12476i	0.826878	−	0.562381i	$-0.190115\pi$
$74$	−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	$0.582774\pi$
$83$	−10.6061	+	12.6399i	−1.16417	+	1.38740i	−0.907049	+	0.421025i	$0.861670\pi$
$84$	2.06841	+	3.58260i	0.225683	+	0.390894i
$85$	3.55404	+	5.69577i	0.385489	+	0.617793i
$86$	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	$0.565094\pi$
$90$	−11.7813	−	9.21675i	−1.24186	−	0.971530i
$91$	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
$95$	−6.76815	+	8.65140i	−0.694397	+	0.887615i
$96$	−12.7903	−	2.25527i	−1.30540	−	0.230178i
$97$	−0.805580	−	1.39531i	−0.0817942	−	0.141672i	0.822226	−	0.569161i	$-0.192732\pi$
$97$	−0.805580	−	1.39531i	−0.0817942	−	0.141672i	−0.904021	+	0.427489i	$0.859398\pi$
$98$	5.53171	−	4.64166i	0.558787	−	0.468878i
$99$	1.56663	−	0.570207i	0.157452	−	0.0573080i
$100$	4.70286	−	0.322800i	0.470286	−	0.0322800i
$101$	−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	−0.958493	−	0.285118i	$-0.907967\pi$
$103$	−2.35786	+	4.08394i	−0.232327	+	0.402403i	0.726165	+	0.687520i	$0.241301\pi$
$104$	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	0.294236	−	0.955733i	$-0.404935\pi$
$107$	−7.22090	−	8.60554i	−0.698071	−	0.831929i	−0.992307	+	0.123804i	$0.960491\pi$
$108$	−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	−0.390341	−	0.920670i	$-0.627643\pi$
$113$	−1.03712	+	0.377482i	−0.0975643	+	0.0355105i	0.292777	+	0.956181i	$0.405421\pi$
$114$	20.8000	+	7.57057i	1.94809	+	0.709049i
$115$	2.98109	+	14.0693i	0.277988	+	1.31197i
$116$	−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
$120$	3.98404	+	9.87907i	0.363692	+	0.901832i
$121$	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
$125$	−6.55424	−	9.05770i	−0.586229	−	0.810145i
$126$	−11.0050	−	1.94048i	−0.980404	−	0.172872i
$127$	−4.61677	−	0.814061i	−0.409672	−	0.0722362i	−0.0349855	−	0.999388i	$-0.511139\pi$
$127$	−4.61677	−	0.814061i	−0.409672	−	0.0722362i	−0.374686	+	0.927152i	$0.622250\pi$
$128$	9.56158	+	8.02312i	0.845133	+	0.709150i
$129$	−0.334897	+	0.920121i	−0.0294860	+	0.0810121i
$130$	−19.9286	+	17.9207i	−1.74785	+	1.57175i
$131$	−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
$135$	5.16878	−	1.09520i	0.444858	−	0.0942596i
$136$	−5.11683	+	1.86237i	−0.438765	+	0.159697i
$137$	13.9164	+	8.03463i	1.18896	+	0.686445i	0.958070	−	0.286535i	$-0.0925036\pi$
$137$	13.9164	+	8.03463i	1.18896	+	0.686445i	0.230888	+	0.972980i	$0.425837\pi$
$138$	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	$0.934075\pi$
$140$	2.98769	−	1.86426i	0.252506	−	0.157559i
$141$	−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
$145$	10.6651	+	11.8600i	0.885686	+	0.984922i
$146$	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	$0.755627\pi$
$150$	−13.2661	+	18.2101i	−1.08317	+	1.48685i
$151$	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
$155$	0.0102219	−	0.0313913i	0.000821043	−	0.00252141i
$156$	14.9845	+	8.65131i	1.19972	+	0.692659i
$157$	6.02638	−	7.18196i	0.480958	−	0.573183i	−0.469936	−	0.882700i	$-0.655723\pi$
$157$	6.02638	−	7.18196i	0.480958	−	0.573183i	0.950894	+	0.309517i	$0.100168\pi$
$158$	−5.61232	+	3.24028i	−0.446493	+	0.257783i
$159$	1.97918	−	3.42804i	0.156959	−	0.271861i
$160$	−1.54573	+	10.9475i	−0.122201	+	0.865479i
$161$	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	$0.196155\pi$
$163$	−1.89546	+	10.7497i	−0.148464	+	0.841978i	−0.964521	+	0.264007i	$0.914956\pi$
$164$	1.32680	−	7.52465i	0.103606	−	0.587576i
$165$	−0.939177	−	2.32884i	−0.0731148	−	0.181300i
$166$	9.68097	−	26.5983i	0.751389	−	2.06443i
$167$	14.7836	+	5.38077i	1.14399	+	0.416377i	0.843351	−	0.537363i	$-0.180579\pi$
$167$	14.7836	+	5.38077i	1.14399	+	0.416377i	0.300635	+	0.953739i	$0.402802\pi$
$168$	6.09609	+	5.11522i	0.470323	+	0.394648i
$169$	6.21966	−	35.2734i	0.478435	−	2.71334i
$170$	−9.07093	−	7.09635i	−0.695708	−	0.544265i
$171$	−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	0.915389	−	0.402570i	$-0.131883\pi$
$173$	−0.586713	−	1.61198i	−0.0446070	−	0.122557i	−0.959996	+	0.280014i	$0.909661\pi$
$174$	16.0708	−	27.8354i	1.21832	−	2.11020i
$175$	−7.50244	−	3.67109i	−0.567131	−	0.277509i
$176$	−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	$0.904675\pi$
$180$	7.81680	+	2.54537i	0.582630	+	0.189721i
$181$	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
$185$	−12.5665	−	5.20409i	−0.923909	−	0.382612i
$186$	−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
$190$	5.83430	−	17.9171i	0.423265	−	1.29984i
$191$			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	−0.856459	−	0.516216i	$-0.827340\pi$
$193$	0.261545	−	0.453010i	0.0188264	−	0.0326083i	0.875285	+	0.483607i	$0.160674\pi$
$194$	2.11725	+	1.77658i	0.152010	+	0.127551i
$195$	−1.40592	−	41.0137i	−0.100680	−	2.93705i
$196$	−1.98431	+	3.43692i	−0.141736	+	0.245495i
$197$	2.07315	+	5.69593i	0.147706	+	0.405818i	0.991377	−	0.131042i	$-0.0418324\pi$
$197$	2.07315	+	5.69593i	0.147706	+	0.405818i	−0.843671	+	0.536860i	$0.819610\pi$
$198$	−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	$0.0885720\pi$
$200$	8.28877	−	3.67768i	0.586104	−	0.260051i
$201$	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
$205$	−16.8068	+	6.77786i	−1.17384	+	0.473387i
$206$	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
$210$	−2.35315	+	16.6660i	−0.162383	+	1.15007i
$211$	−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
$215$	0.792591	+	0.258090i	0.0540543	+	0.0176016i
$216$			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
$220$	0.126007	−	0.892436i	0.00849539	−	0.0601681i
$221$	20.9779			1.41112
$222$	−2.13086	+	27.3259i	−0.143014	+	1.83399i
$223$		−	0.304844i		−	0.0204139i	−0.999948	−	0.0102069i	$-0.996751\pi$
$223$		−	0.304844i		−	0.0204139i	0.999948	−	0.0102069i	$-0.00324903\pi$
$224$	2.82497	+	7.76154i	0.188751	+	0.518590i
$225$	−4.69269	−	18.9247i	−0.312846	−	1.26164i
$226$	1.45037	−	1.21700i	0.0964770	−	0.0809538i
$227$	−4.43298	−	25.1407i	−0.294227	−	1.66865i	−0.670327	−	0.742066i	$-0.733846\pi$
$227$	−4.43298	−	25.1407i	−0.294227	−	1.66865i	0.376099	−	0.926579i	$-0.377265\pi$
$228$	−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	$0.929644\pi$
$230$	−13.0602	−	20.9306i	−0.861167	−	1.38012i
$231$	−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	0.938160	−	0.346201i	$-0.112529\pi$
$233$	16.9040	+	9.75956i	1.10742	+	0.639370i	0.169261	+	0.985571i	$0.445862\pi$
$234$	−43.9206	+	15.9858i	−2.87118	+	1.04502i
$235$	−1.23739	+	0.262187i	−0.0807183	+	0.0171032i
$236$	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	$0.416880\pi$
$240$	−19.6238	−	21.8225i	−1.26671	−	1.40864i
$241$	−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
$245$	9.40711	−	0.322469i	0.600999	−	0.0206018i
$246$	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
$250$	15.8798	+	10.7555i	1.00432	+	0.680238i
$251$	−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
$255$	17.2517	−	3.65541i	1.08034	−	0.228911i
$256$	−17.2800	−	6.28939i	−1.08000	−	0.393087i
$257$	4.78399	−	1.74123i	0.298417	−	0.108615i	−0.188472	−	0.982079i	$-0.560354\pi$
$257$	4.78399	−	1.74123i	0.298417	−	0.108615i	0.486890	+	0.873463i	$0.338131\pi$
$258$		−	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	0.945089	−	0.326813i	$-0.105975\pi$
$263$	7.44580	+	8.87356i	0.459128	+	0.547167i	−0.485961	+	0.873980i	$0.661530\pi$
$264$	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	$0.888085\pi$
$270$	−7.68950	+	4.79809i	−0.467968	+	0.292002i
$271$	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
$275$	−1.95395	+	0.866956i	−0.117828	+	0.0522794i
$276$	−10.2380	+	12.2011i	−0.616254	+	0.734422i
$277$	−3.72068	−	1.35421i	−0.223554	−	0.0813669i	0.227815	−	0.973704i	$-0.426842\pi$
$277$	−3.72068	−	1.35421i	−0.223554	−	0.0813669i	−0.451369	+	0.892338i	$0.649064\pi$
$278$	23.4712	+	8.54283i	1.40771	+	0.512365i
$279$	0.0370076	−	0.0441040i	0.00221559	−	0.00264044i
$280$	4.17416	−	5.33563i	0.249454	−	0.318865i
$281$	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	$-0.376055\pi$
$283$	22.8220	−	19.1499i	1.35663	−	1.13834i	0.977008	−	0.213202i	$-0.0683892\pi$
$284$	0.110542	−	0.0402338i	0.00655944	−	0.00238744i
$285$	15.2738	+	24.4780i	0.904740	+	1.44995i
$286$	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	−0.913958	−	0.405809i	$-0.866990\pi$
$293$	0.804913	−	2.21148i	0.0470235	−	0.129196i	0.960981	+	0.276613i	$0.0892120\pi$
$294$	−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
$300$	3.42821	−	11.8980i	0.197928	−	0.686933i
$301$	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
$305$	6.12911	+	15.1981i	0.350952	+	0.870242i
$306$	−10.0424	−	17.3939i	−0.574086	−	0.994346i
$307$	−12.0465	−	6.95508i	−0.687533	−	0.396947i	0.115154	−	0.993348i	$-0.463264\pi$
$307$	−12.0465	−	6.95508i	−0.687533	−	0.396947i	−0.802687	+	0.596400i	$0.796597\pi$
$308$	−0.230290	−	0.632716i	−0.0131220	−	0.0360523i
$309$	7.96209	+	9.48884i	0.452947	+	0.539801i
$310$	0.00194021	+	0.0566002i	0.000110197	+	0.00321467i
$311$	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	0.0501757	−	0.998740i	$-0.484022\pi$
$313$	−16.3592	−	13.7270i	−0.924679	−	0.775898i	−0.974854	+	0.222843i	$0.928466\pi$
$314$	−5.50073	+	15.1131i	−0.310424	+	0.852883i
$315$	−9.73971	−	10.8310i	−0.548771	−	0.610257i
$316$	2.28936	−	2.72835i	0.128786	−	0.153482i
$317$	−12.5932	−	2.22052i	−0.707305	−	0.124717i	−0.191587	−	0.981476i	$-0.561363\pi$
$317$	−12.5932	−	2.22052i	−0.707305	−	0.124717i	−0.515717	+	0.856759i	$0.672475\pi$
$318$	−1.17914	+	6.68722i	−0.0661227	+	0.375001i
$319$	2.64103	−	1.52480i	0.147869	−	0.0853724i
$320$	0.700571	+	3.30634i	0.0391631	+	0.184830i
$321$	−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
$325$	−34.8528	+	2.39226i	−1.93328	+	0.132699i
$326$	−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
$330$	2.88033	+	3.20306i	0.158557	+	0.176322i
$331$	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
$335$	−12.0614	−	1.70300i	−0.658985	−	0.0930449i
$336$	−20.6028	−	7.49880i	−1.12397	−	0.409093i
$337$	−0.0717537	−	0.0855128i	−0.00390867	−	0.00465818i	0.764087	−	0.645114i	$-0.223190\pi$
$337$	−0.0717537	−	0.0855128i	−0.00390867	−	0.00465818i	−0.767995	+	0.640456i	$0.778746\pi$
$338$	10.6695	+	60.5100i	0.580347	+	3.29131i
$339$			2.89905i			0.157455i
$340$	6.01848	+	1.95979i	0.326398	+	0.106284i
$341$	−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
$345$	37.4052	+	5.28140i	2.01383	+	0.284341i
$346$	1.89156	+	2.25428i	0.101691	+	0.121191i
$347$	−7.78573	−	13.4853i	−0.417960	−	0.723928i	0.577774	−	0.816197i	$-0.303921\pi$
$347$	−7.78573	−	13.4853i	−0.417960	−	0.723928i	−0.995734	+	0.0922687i	$0.970588\pi$
$348$	−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	$-0.259339\pi$
$350$	14.2478	+	1.51597i	0.761579	+	0.0810321i
$351$	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	$-0.978155\pi$
$353$	−23.2677	−	19.5239i	−1.23842	−	1.03915i	−0.240770	−	0.970582i	$-0.577400\pi$
$354$	−6.98195	+	39.5966i	−0.371087	+	2.10454i
$355$	−0.219749	−	0.171913i	−0.0116631	−	0.00912422i
$356$	−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	$0.226418\pi$
$360$	15.8048	−	0.541775i	0.832984	−	0.0285540i
$361$	−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
$365$	−6.65342	+	20.4326i	−0.348256	+	1.06949i
$366$	25.2971	−	21.2268i	1.32230	−	1.10954i
$367$	6.69123	−	18.3840i	0.349280	−	0.959638i	−0.633318	−	0.773892i	$-0.718308\pi$
$367$	6.69123	−	18.3840i	0.349280	−	0.959638i	0.982598	−	0.185746i	$-0.0594702\pi$
$368$	30.1991	−	10.9916i	1.57424	−	0.572976i
$369$	−31.6036			−1.64522
$370$	23.3106	+	1.01596i	1.21186	+	0.0528173i
$371$	−2.51738			−0.130696
$372$	0.0343572	−	0.0125050i	0.00178134	−	0.000648354i
$373$	−1.54606	+	4.24777i	−0.0800521	+	0.219941i	−0.973262	−	0.229699i	$-0.926226\pi$
$373$	−1.54606	+	4.24777i	−0.0800521	+	0.219941i	0.893210	+	0.449641i	$0.148448\pi$
$374$	−1.68683	+	1.41542i	−0.0872240	+	0.0731896i
$375$	−28.2453	+	8.04047i	−1.45858	+	0.415208i
$376$		−	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	$0.640408\pi$
$380$	0.354781	+	10.3497i	0.0181999	+	0.530931i
$381$	−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	−0.387091	−	0.922041i	$-0.626520\pi$
$383$	8.87956	−	7.45084i	0.453725	−	0.380720i	0.840816	+	0.541321i	$0.182076\pi$
$384$	28.3934	−	16.3929i	1.44894	−	0.836548i
$385$	−0.983995	+	1.25779i	−0.0501490	+	0.0641031i
$386$	−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	$-0.0233589\pi$
$390$	26.3299	+	65.2892i	1.33327	+	3.30605i
$391$	−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
$395$	−8.36433	−	1.18100i	−0.420855	−	0.0594224i
$396$	0.785894	−	1.36121i	0.0394927	−	0.0684033i
$397$	−33.2457	+	19.1944i	−1.66855	+	0.963339i	−0.700134	+	0.714012i	$0.746876\pi$
$397$	−33.2457	+	19.1944i	−1.66855	+	0.963339i	−0.968419	+	0.249328i	$0.919790\pi$
$398$	−21.6333	+	25.7815i	−1.08438	+	1.29231i
$399$	18.6669	+	10.7773i	0.934514	+	0.539542i
$400$	−17.9939	+	17.3320i	−0.899697	+	0.866602i
$401$		−	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
$405$	−1.71694	+	12.1601i	−0.0853156	+	0.604243i
$406$	−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	$0.823614\pi$
$410$	23.1159	−	20.7868i	1.14161	−	1.02659i
$411$	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
$415$	31.3017	−	19.5316i	1.53654	−	0.958767i
$416$	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	$0.234143\pi$
$420$	−1.91743	−	9.04932i	−0.0935612	−	0.441562i
$421$	−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
$425$	−3.61310	−	14.5709i	−0.175261	−	0.706791i
$426$	−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
$430$	−1.42908	+	0.0489879i	−0.0689165	+	0.00236241i
$431$	−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	0.0662583	−	0.997803i	$-0.478894\pi$
$433$	−15.9131	−	9.18743i	−0.764735	−	0.441520i	−0.830993	+	0.556283i	$0.812227\pi$
$434$	0.0211545	+	0.0366406i	0.00101545	+	0.00175881i
$435$	38.8554	−	15.6696i	1.86297	−	0.751301i
$436$	−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	$0.375576\pi$
$440$	−0.359386	−	1.69612i	−0.0171330	−	0.0808594i
$441$	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	$0.124822\pi$
$443$			16.0874i			0.764336i	−0.924093	+	0.382168i	$0.875178\pi$
$444$	−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
$455$	−22.1417	+	13.8160i	−1.03802	+	0.647703i
$456$	−21.9900	+	8.00371i	−1.02978	+	0.374808i
$457$	4.53576	−	3.80596i	0.212174	−	0.178035i	−0.530507	−	0.847681i	$-0.677998\pi$
$457$	4.53576	−	3.80596i	0.212174	−	0.178035i	0.742681	+	0.669645i	$0.233554\pi$
$458$	−1.20657	−	2.08983i	−0.0563791	−	0.0976515i
$459$	6.98657	+	1.23192i	0.326105	+	0.0575011i
$460$	10.6791	+	8.35447i	0.497917	+	0.389529i
$461$	−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	0.772019	−	0.635600i	$-0.219247\pi$
$463$	20.5462	+	7.47821i	0.954863	+	0.347542i	0.182845	+	0.983142i	$0.441469\pi$
$464$	22.9103	−	27.3034i	1.06358	−	1.26753i
$465$	−0.0682997	−	0.0534321i	−0.00316732	−	0.00247785i
$466$	−32.9755	−	5.81446i	−1.52756	−	0.269350i
$467$	−2.16910	−	3.75700i	−0.100374	−	0.173853i	0.811465	−	0.584401i	$-0.198671\pi$
$467$	−2.16910	−	3.75700i	−0.100374	−	0.173853i	−0.911839	+	0.410548i	$0.865337\pi$
$468$	19.6775	−	16.5114i	0.909594	−	0.763240i
$469$	−8.55124	+	3.11240i	−0.394860	+	0.143717i
$470$	1.84084	−	1.14865i	0.0849117	−	0.0529831i
$471$	−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
$485$	0.746778	+	3.52442i	0.0339094	+	0.160035i
$486$	36.3469	−	6.40894i	1.64873	−	0.290715i
$487$	20.3387			0.921633			0.460816	−	0.887495i	$-0.347557\pi$
$487$	20.3387			0.921633			0.460816	+	0.887495i	$0.347557\pi$
$488$	−13.0894	+	2.30802i	−0.592531	+	0.104479i
$489$	24.8304	+	14.3359i	1.12287	+	0.648290i
$490$	−14.9751	+	6.03916i	−0.676505	+	0.272822i
$491$	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
$495$	−3.72573	+	0.127715i	−0.167459	+	0.00574037i
$496$	−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	$0.935559\pi$
$500$	−10.2226	−	2.56967i	−0.457170	−	0.114919i
$501$	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	$0.174141\pi$
$503$	−2.83512	+	16.0787i	−0.126412	+	0.716916i	−0.980459	+	0.196721i	$0.936971\pi$
$504$	10.2313	−	5.90707i	0.455740	−	0.263122i
$505$	6.23327	+	29.4179i	0.277377	+	1.30908i
$506$	−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	$0.920417\pi$
$510$	−25.6650	+	16.0144i	−1.13647	+	0.709131i
$511$	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
$515$	7.84075	−	7.05075i	0.345505	−	0.310693i
$516$	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
$520$	3.96138	−	28.0562i	0.173718	−	1.23035i
$521$	−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	$0.127266\pi$
$523$	4.31501	+	24.4717i	0.188682	+	1.07007i	−0.732450	+	0.680821i	$0.761623\pi$
$524$			15.7563i			0.688316i
$525$	−15.8014	+	15.2201i	−0.689630	+	0.664262i
$526$	−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
$530$	5.72377	+	0.808164i	0.248625	+	0.0351044i
$531$	−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
$535$	9.39496	+	23.2963i	0.406180	+	1.00719i
$536$	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
$540$	3.06927	−	3.92331i	0.132080	−	0.168832i
$541$	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
$545$	0.184151	+	5.37210i	0.00788818	+	0.230115i
$546$	40.2880	+	33.8057i	1.72417	+	1.44675i
$547$	14.0423	−	24.3219i	0.600404	−	1.03993i	−0.392356	−	0.919813i	$-0.628340\pi$
$547$	14.0423	−	24.3219i	0.600404	−	1.03993i	0.992760	−	0.120116i	$-0.0383268\pi$
$548$	14.9197	−	2.63075i	0.637338	−	0.112380i
$549$			28.5787i			1.21971i
$550$	2.64111	−	2.54395i	0.112617	−	0.108475i
$551$	−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
$555$	−24.1348	+	26.3426i	−1.02446	+	1.11818i
$556$	−13.7273			−0.582165
$557$	33.6736	−	12.2562i	1.42680	−	0.519312i	0.490785	−	0.871280i	$-0.336710\pi$
$557$	33.6736	−	12.2562i	1.42680	−	0.519312i	0.936012	+	0.351969i	$0.114488\pi$
$558$	−0.0337796	+	0.0928088i	−0.00143001	+	0.00392891i
$559$	1.99522	−	1.67419i	0.0843888	−	0.0708106i
$560$	−5.77900	+	17.7472i	−0.244207	+	0.749957i
$561$		−	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	$-0.611065\pi$
$563$	15.2544	−	26.4214i	0.642897	−	1.11353i	0.984783	−	0.173789i	$-0.0556012\pi$
$564$	−1.07309	−	0.900428i	−0.0451851	−	0.0379148i
$565$	2.46646	−	0.0845484i	0.103765	−	0.00355698i
$566$	−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	$0.483136\pi$
$570$	−38.9831	−	30.4972i	−1.63282	−	1.27739i
$571$	−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
$575$	3.40244	−	31.9778i	0.141892	−	1.33357i
$576$	−1.02349	+	5.80452i	−0.0426456	+	0.241855i
$577$	3.66949	−	20.8107i	0.152763	−	0.866360i	−0.808040	−	0.589127i	$-0.799472\pi$
$577$	3.66949	−	20.8107i	0.152763	−	0.866360i	0.960803	−	0.277233i	$-0.0894173\pi$
$578$	6.84931	+	11.8634i	0.284894	+	0.493450i
$579$	−0.883191	−	1.05255i	−0.0367042	−	0.0437423i
$580$	14.8898	+	2.10235i	0.618265	+	0.0872955i
$581$	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
$585$	−57.9301	−	18.8637i	−2.39512	−	0.779917i
$586$			4.03717i			0.166774i
$587$	−0.906979	−	5.14373i	−0.0374350	−	0.212305i	0.960352	−	0.278789i	$-0.0899329\pi$
$587$	−0.906979	−	5.14373i	−0.0374350	−	0.212305i	−0.997787	+	0.0664842i	$0.978822\pi$
$588$	6.70066	+	7.98553i	0.276330	+	0.329318i
$589$	0.0681524	+	0.0248054i	0.00280817	+	0.00102209i
$590$	33.8918	+	4.78533i	1.39530	+	0.197009i
$591$	15.9217			0.654931
$592$	−7.58890	+	29.4312i	−0.311902	+	1.20962i
$593$		−	6.71165i		−	0.275615i	−0.990459	−	0.137807i	$-0.955995\pi$
$593$		−	6.71165i		−	0.275615i	0.990459	−	0.137807i	$-0.0440055\pi$
$594$	0.592702	+	1.62844i	0.0243189	+	0.0668155i
$595$	−7.49900	−	8.33923i	−0.307429	−	0.341875i
$596$	−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	$0.931510\pi$
$600$	−1.63108	−	23.7631i	−0.0665884	−	0.970123i
$601$	−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
$605$	−5.01381	−	23.6627i	−0.203841	−	0.962025i
$606$	52.4788	−	30.2987i	2.13181	−	1.23080i
$607$	1.94611	−	11.0369i	0.0789902	−	0.447976i	−0.919502	−	0.393085i	$-0.871408\pi$
$607$	1.94611	−	11.0369i	0.0789902	−	0.447976i	0.998492	−	0.0548909i	$-0.0174811\pi$
$608$	−23.9197	−	4.21769i	−0.970073	−	0.171050i
$609$	20.1187	−	23.9765i	0.815250	−	0.971577i
$610$	−18.7972	−	20.9033i	−0.761076	−	0.846350i
$611$	−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	−0.227560	−	0.973764i	$-0.573075\pi$
$613$	−19.1743	−	3.38095i	−0.774443	−	0.136555i	−0.546883	+	0.837209i	$0.684186\pi$
$614$	23.4997	+	4.14364i	0.948372	+	0.167224i
$615$	1.63077	+	47.5732i	0.0657591	+	1.91834i
$616$	−0.832568	−	0.992216i	−0.0335451	−	0.0399775i
$617$	−7.59343	−	20.8628i	−0.305700	−	0.839903i	−0.993482	−	0.113987i	$-0.963638\pi$
$617$	−7.59343	−	20.8628i	−0.305700	−	0.839903i	0.687782	−	0.725917i	$-0.258584\pi$
$618$	−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	$-0.377514\pi$
$620$	−0.0116411	−	0.0288659i	−0.000467516	−	0.00115928i
$621$	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
$625$	7.66446	+	23.7961i	0.306578	+	0.951845i
$626$	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
$640$	−14.7749	−	23.6786i	−0.584030	−	0.935977i
$641$	−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	0.997308	−	0.0733229i	$-0.0233604\pi$
$643$	11.0344	+	19.1122i	0.435155	+	0.753710i	−0.562154	+	0.827033i	$0.690027\pi$
$644$	9.97542	+	1.75894i	0.393087	+	0.0693118i
$645$	1.34909	−	1.72448i	0.0531205	−	0.0679014i
$646$	16.2632	−	19.3817i	0.639868	−	0.762565i
$647$	15.4245	+	5.61405i	0.606399	+	0.220711i	0.626927	−	0.779078i	$-0.284313\pi$
$647$	15.4245	+	5.61405i	0.606399	+	0.220711i	−0.0205280	+	0.999789i	$0.506535\pi$
$648$	−9.35984	−	3.40670i	−0.367689	−	0.133828i
$649$	−2.45217	+	2.92238i	−0.0962560	+	0.114713i
$650$	54.7791	−	24.3052i	2.14861	−	0.953327i
$651$	−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	−0.721681	−	0.692226i	$-0.756630\pi$
$653$	−4.22378	+	3.54417i	−0.165289	+	0.138694i	0.556391	+	0.830920i	$0.312186\pi$
$654$	10.1786	−	3.70472i	0.398016	−	0.144866i
$655$	31.7044	−	19.7829i	1.23880	−	0.772982i
$656$	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
$670$	20.4422	−	4.33143i	0.789750	−	0.167338i
$671$	3.08563	−	0.544080i	0.119119	−	0.0210040i
$672$	21.6957			0.836928
$673$	−4.47228	+	0.788584i	−0.172394	+	0.0303977i	−0.259179	−	0.965829i	$-0.583452\pi$
$673$	−4.47228	+	0.788584i	−0.172394	+	0.0303977i	0.0867849	+	0.996227i	$0.472341\pi$
$674$	0.165839	+	0.0957472i	0.00638788	+	0.00368805i
$675$	−11.7480	−	1.24999i	−0.452182	−	0.0481122i
$676$	−16.8842	−	29.2442i	−0.649391	−	1.12478i
$677$	27.0750	+	15.6318i	1.04058	+	0.600778i	0.919997	−	0.391926i	$-0.128191\pi$
$677$	27.0750	+	15.6318i	1.04058	+	0.600778i	0.120581	+	0.992704i	$0.461524\pi$
$678$	−1.70093	−	4.67326i	−0.0653238	−	0.179476i
$679$	1.73002	+	2.06175i	0.0663919	+	0.0791228i
$680$	12.1687	−	0.417135i	0.466650	−	0.0159964i
$681$	−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	0.514874	−	0.857266i	$-0.327839\pi$
$683$	−6.27119	−	5.26215i	−0.239960	−	0.201351i	−0.754835	+	0.655915i	$0.772283\pi$
$684$	−6.17685	+	16.9707i	−0.236178	+	0.648893i
$685$	−24.0261	−	26.7181i	−0.917989	−	1.02084i
$686$	−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
$690$	−63.3959	+	13.4328i	−2.41344	+	0.511377i
$691$	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
$695$	17.2353	+	27.6217i	0.653774	+	1.04775i
$696$	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
$700$	−7.64310	+	1.89524i	−0.288882	+	0.0716333i
$701$	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
$705$	−0.464498	+	3.28978i	−0.0174940	+	0.123900i
$706$	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	$0.868767\pi$
$710$	0.455100	+	0.148194i	0.0170796	+	0.00556160i
$711$	−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
$715$	−0.933834	+	6.61382i	−0.0349234	+	0.247343i
$716$	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	$-0.0226011\pi$
$720$	−40.4077	+	16.2957i	−1.50591	+	0.607303i
$721$	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
$725$	−14.4647	−	32.6005i	−0.537204	−	1.21075i
$726$	−42.2120	+	24.3711i	−1.56664	+	0.904497i
$727$	−19.0646	+	15.9971i	−0.707068	+	0.593300i	−0.923775	−	0.382936i	$-0.874913\pi$
$727$	−19.0646	+	15.9971i	−0.707068	+	0.593300i	0.216707	+	0.976237i	$0.430468\pi$
$728$	−7.23980	−	19.8912i	−0.268325	−	0.737216i
$729$	−20.0183	+	34.6726i	−0.741417	+	1.28417i
$730$	−1.26288	−	36.8410i	−0.0467413	−	1.36355i
$731$	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	0.181872	−	0.983322i	$-0.441784\pi$
$733$	18.6565	−	3.28964i	0.689093	−	0.121506i	0.507220	+	0.861817i	$0.330673\pi$
$734$			33.5609i			1.23876i
$735$	7.65526	−	23.5092i	0.282369	−	0.867150i
$736$	−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	$0.632082\pi$
$740$	−12.2295	+	3.85697i	−0.449564	+	0.141785i
$741$	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	$-0.651721\pi$
$743$	12.6423	−	34.7345i	0.463802	−	1.27429i	0.922604	−	0.385748i	$-0.126057\pi$
$744$	0.0538785	−	0.0452094i	0.00197528	−	0.00165746i
$745$	37.3467	+	12.1611i	1.36828	+	0.445549i
$746$		−	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
$750$	40.8139	−	29.5333i	1.49031	−	1.07840i
$751$	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
$755$	−18.1035	−	14.1627i	−0.658853	−	0.515433i
$756$	0.646200	−	3.66478i	0.0235021	−	0.133287i
$757$	4.39755	+	3.68998i	0.159832	+	0.134115i	0.719196	−	0.694807i	$-0.244510\pi$
$757$	4.39755	+	3.68998i	0.159832	+	0.134115i	−0.559364	+	0.828922i	$0.688955\pi$
$758$	−15.9551	−	5.80719i	−0.579517	−	0.210927i
$759$	2.47031	−	6.78712i	0.0896665	−	0.246357i
$760$	7.45075	+	18.4753i	0.270267	+	0.670171i
$761$	−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
$765$	3.66019	−	25.9231i	0.132335	−	0.937251i
$766$	−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	$0.644830\pi$
$770$	0.848227	−	2.60489i	0.0305680	−	0.0938739i
$771$		−	13.3726i		−	0.481602i
$772$	−0.0856367	−	0.485670i	−0.00308213	−	0.0174796i
$773$	−4.68694	−	5.58567i	−0.168577	−	0.200903i	0.675141	−	0.737689i	$-0.264083\pi$
$773$	−4.68694	−	5.58567i	−0.168577	−	0.200903i	−0.843718	+	0.536786i	$0.819638\pi$
$774$	−2.34331	−	0.852893i	−0.0842284	−	0.0306566i
$775$	−0.0434673	+	0.0596666i	−0.00156139	+	0.00214329i
$776$	−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
$780$	−25.8701	−	28.7687i	−0.926299	−	1.03009i
$781$	−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
$785$	−17.7856	+	11.0978i	−0.634795	+	0.396099i
$786$	−57.6879	−	48.4059i	−2.05766	−	1.72658i
$787$	10.1568	−	5.86404i	0.362051	−	0.209030i	−0.307929	−	0.951409i	$-0.599636\pi$
$787$	10.1568	−	5.86404i	0.362051	−	0.209030i	0.669980	+	0.742379i	$0.266303\pi$
$788$	4.94905	+	2.85734i	0.176303	+	0.101788i
$789$	28.5917	−	10.4065i	1.01789	−	0.370482i
$790$	14.1762	−	3.00376i	0.504367	−	0.106869i
$791$	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
$795$	−6.58148	+	5.91836i	−0.233421	+	0.209903i
$796$	6.32615	−	17.3810i	0.224225	−	0.616052i
$797$	13.8667	+	11.6356i	0.491184	+	0.412153i	0.854451	−	0.519533i	$-0.173894\pi$
$797$	13.8667	+	11.6356i	0.491184	+	0.412153i	−0.363266	+	0.931685i	$0.618338\pi$
$798$	−36.4143	−	6.42083i	−1.28905	−	0.227295i
$799$	−1.67256	−	0.294918i	−0.0591710	−	0.0104334i
$800$	10.8660	−	22.2063i	0.384171	−	0.785112i
$801$	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
$805$	−8.98541	−	22.2808i	−0.316694	−	0.785294i
$806$	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	$0.273439\pi$
$810$	−4.36689	−	20.6095i	−0.153437	−	0.724145i
$811$	−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	−0.962683	−	0.270631i	$-0.912768\pi$
$823$	−15.1758	+	18.0858i	−0.528995	+	0.630432i	0.433688	+	0.901063i	$0.357212\pi$
$824$	4.27623	+	7.40665i	0.148970	+	0.258023i
$825$	0.384501	+	5.60178i	0.0133866	+	0.195029i
$826$	24.0285	−	8.74564i	0.836057	−	0.304300i
$827$	2.76572	−	2.32072i	0.0961736	−	0.0806993i	−0.593433	−	0.804883i	$-0.702228\pi$
$827$	2.76572	−	2.32072i	0.0961736	−	0.0806993i	0.689607	+	0.724184i	$0.257783\pi$
$828$	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	$0.266759\pi$
$830$	−38.9987	+	49.8502i	−1.35367	+	1.73033i
$831$	−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
$835$	−27.7072	−	21.6758i	−0.958847	−	0.750123i
$836$	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	$0.565285\pi$
$840$	−9.41990	−	15.0965i	−0.325017	−	0.520879i
$841$	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	−0.885940	−	0.463799i	$-0.846486\pi$
$853$	−36.9892	+	13.4630i	−1.26649	+	0.460963i	−0.380546	+	0.924762i	$0.624264\pi$
$854$	−19.7349	−	7.18293i	−0.675316	−	0.245795i
$855$	41.9035	−	8.87881i	1.43307	−	0.303649i
$856$	−20.0640	+	3.53783i	−0.685774	+	0.120920i
$857$	−9.75475			−0.333216			−0.166608	−	0.986023i	$-0.553281\pi$
$857$	−9.75475			−0.333216			−0.166608	+	0.986023i	$0.553281\pi$
$858$	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	$0.853946\pi$
$860$	0.728827	−	0.293922i	0.0248528	−	0.0100227i
$861$	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	$-0.989999\pi$
$863$	−7.46269	−	20.5036i	−0.254033	−	0.697950i	0.745474	−	0.666535i	$-0.232223\pi$
$864$	7.50975	+	8.94977i	0.255487	+	0.304477i
$865$	0.131412	+	3.83358i	0.00446814	+	0.130345i
$866$	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
$870$	−53.4412	+	48.0567i	−1.81183	+	1.62927i
$871$	−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
$875$	13.4099	+	12.9997i	0.453337	+	0.439470i
$876$	−22.3631	+	8.13949i	−0.755578	+	0.275008i
$877$	−41.7535	−	24.1064i	−1.40992	−	0.814016i	−0.414537	−	0.910032i	$-0.636057\pi$
$877$	−41.7535	−	24.1064i	−1.40992	−	0.814016i	−0.995380	+	0.0960164i	$0.969390\pi$
$878$	−13.3643	+	7.71588i	−0.451023	+	0.260398i
$879$	−4.73546	−	3.97352i	−0.159723	−	0.134023i
$880$	2.52872	+	4.05257i	0.0852431	+	0.136612i
$881$	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	$-0.786484\pi$
$883$	−7.72122	−	43.7892i	−0.259840	−	1.47362i	0.523498	−	0.852027i	$-0.324627\pi$
$884$	15.1505	−	12.7128i	0.509568	−	0.427578i
$885$	−38.9705	+	35.0440i	−1.30998	+	1.17799i
$886$	−9.43881	−	25.9329i	−0.317103	−	0.871233i
$887$			49.5725i			1.66448i	0.554415	+	0.832240i	$0.312942\pi$
$887$			49.5725i			1.66448i	−0.554415	+	0.832240i	$0.687058\pi$
$888$	−16.8440	−	23.5786i	−0.565247	−	0.791245i
$889$	7.83124			0.262651
$890$	−2.14713	−	0.303163i	−0.0719721	−	0.0101620i
$891$	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
$895$	5.46546	−	16.7844i	0.182690	−	0.561039i
$896$	−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
$900$	−14.8577	−	10.8239i	−0.495256	−	0.360795i
$901$	−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
$905$	−15.5343	+	6.26469i	−0.516377	+	0.208245i
$906$	−15.8418	+	43.5249i	−0.526308	+	1.44602i
$907$	7.46655	+	2.71760i	0.247923	+	0.0902365i	0.462993	−	0.886362i	$-0.346776\pi$
$907$	7.46655	+	2.71760i	0.247923	+	0.0902365i	−0.215070	+	0.976599i	$0.568998\pi$
$908$	−18.4371	−	15.4706i	−0.611856	−	0.513409i
$909$	−9.10645	+	51.6452i	−0.302042	+	1.71296i
$910$	27.5864	−	35.2623i	0.914479	−	1.16894i
$911$	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
$915$	43.0197	−	1.47468i	1.42219	−	0.0487515i
$916$	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	$-0.219730\pi$
$920$	24.8008	+	8.07585i	0.817659	+	0.266253i
$921$	−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
$925$	23.1157	+	19.7652i	0.760040	+	0.649877i
$926$	−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	$0.112924\pi$
$930$	0.141449	+	0.0460597i	0.00463829	+	0.00151036i
$931$			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
$935$	−2.86859	+	0.0983331i	−0.0938130	+	0.00321584i
$936$	24.7068	−	42.7934i	0.807566	−	1.39875i
$937$	10.9491	+	30.0824i	0.357691	+	0.982749i	0.979828	+	0.199841i	$0.0640425\pi$
$937$	10.9491	+	30.0824i	0.357691	+	0.982749i	−0.622137	+	0.782908i	$0.713735\pi$
$938$	11.9585	−	10.0344i	0.390459	−	0.327634i
$939$	−48.5792	+	28.0472i	−1.58532	+	0.915286i
$940$	−0.734774	+	0.939226i	−0.0239657	+	0.0306342i
$941$	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
$945$	−8.18553	+	3.30107i	−0.266275	+	0.107384i
$946$	−0.0474749	+	0.269243i	−0.00154354	+	0.00875386i
$947$	−2.53152	+	14.3570i	−0.0822634	+	0.466539i	0.915650	+	0.401976i	$0.131676\pi$
$947$	−2.53152	+	14.3570i	−0.0822634	+	0.466539i	−0.997914	+	0.0645631i	$0.979435\pi$
$948$	−4.67764	−	8.10190i	−0.151923	−	0.263138i
$949$	43.1596	+	51.4357i	1.40102	+	1.66967i
$950$	−24.8096	+	34.0556i	−0.804930	+	1.10491i
$951$	−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	−0.988817	−	0.149136i	$-0.952351\pi$
$953$	−20.6908	+	24.6583i	−0.670240	+	0.798761i	0.318576	+	0.947897i	$0.396795\pi$
$954$	8.73031	+	5.04044i	0.282654	+	0.163190i
$955$	6.13271	−	18.8335i	0.198450	−	0.609436i
$956$			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
$960$	8.79040	+	1.24115i	0.283709	+	0.0400581i
$961$	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
$965$	−0.869732	+	0.782102i	−0.0279977	+	0.0251767i
$966$	−37.0861	+	31.1189i	−1.19323	+	1.00123i
$967$	0.187491	+	1.06331i	0.00602930	+	0.0341938i	0.987674	−	0.156525i	$-0.0500292\pi$
$967$	0.187491	+	1.06331i	0.00602930	+	0.0341938i	−0.981645	+	0.190719i	$0.938918\pi$
$968$	19.6181			0.630551
$969$	6.72730	+	38.1524i	0.216112	+	1.22563i
$970$	−3.27165	−	5.24321i	−0.105046	−	0.168349i
$971$	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
$975$	−25.4064	+	88.1760i	−0.813656	+	2.82389i
$976$	31.7134	−	18.3097i	1.01512	−	0.586081i
$977$	1.82678	−	10.3602i	0.0584437	−	0.331451i	−0.941541	−	0.336897i	$-0.890623\pi$
$977$	1.82678	−	10.3602i	0.0584437	−	0.331451i	0.999985	+	0.00544629i	$0.00173362\pi$
$978$	−48.4378	−	8.54090i	−1.54887	−	0.273108i
$979$	0.155351	−	0.185140i	0.00496504	−	0.00591711i
$980$	6.59855	−	5.93371i	0.210783	−	0.189545i
$981$	−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	0.796359	−	0.604824i	$-0.206757\pi$
$983$	41.9448	+	7.39599i	1.33783	+	0.235896i	0.541471	+	0.840720i	$0.317868\pi$
$984$	−38.0212	−	6.70417i	−1.21207	−	0.213721i
$985$	−0.464344	−	13.5459i	−0.0147952	−	0.431609i
$986$	−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
$990$	5.93094	−	2.39184i	0.188498	−	0.0760175i
$991$	−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
$995$	−42.9164	+	9.09343i	−1.36054	+	0.288281i
$996$	38.3970	+	13.9754i	1.21666	+	0.442827i
$997$	−19.8355	+	7.21952i	−0.628196	+	0.228644i	−0.636446	−	0.771321i	$-0.719596\pi$
$997$	−19.8355	+	7.21952i	−0.628196	+	0.228644i	0.00825016	+	0.999966i	$0.497374\pi$
$998$		−	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.104.4	✓	96
5.2	odd	4		925.2.bb.e.326.4		96
5.3	odd	4		925.2.bb.e.326.13		96
5.4	even	2	inner	185.2.v.a.104.13	yes	96
37.21	even	18	inner	185.2.v.a.169.13	yes	96
185.58	odd	36		925.2.bb.e.576.13		96
185.132	odd	36		925.2.bb.e.576.4		96
185.169	even	18	inner	185.2.v.a.169.4	yes	96

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

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