LMFDB - Embedded newform 185.2.v.a.104.12

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			104.12
Character	$\chi$	$=$	185.104
Dual form			185.2.v.a.169.12

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.24932 - 0.454714i) q^{2} +(0.712514 - 1.95762i) q^{3} +(-0.178063 + 0.149413i) q^{4} +(-1.46978 - 1.68515i) q^{5} -2.76967i q^{6} +(2.05749 - 0.362791i) q^{7} +(-1.48401 + 2.57038i) q^{8} +(-1.02645 - 0.861296i) q^{9} +(-2.60248 - 1.43696i) q^{10} +(1.09872 - 1.90303i) q^{11} +(0.165620 + 0.455038i) q^{12} +(-0.109278 + 0.0916955i) q^{13} +(2.40549 - 1.38881i) q^{14} +(-4.34613 + 1.67657i) q^{15} +(-0.604483 + 3.42819i) q^{16} +(1.68858 + 1.41689i) q^{17} +(-1.67401 - 0.609289i) q^{18} +(-1.39535 + 3.83370i) q^{19} +(0.513497 + 0.0804600i) q^{20} +(0.755786 - 4.28627i) q^{21} +(0.507309 - 2.87709i) q^{22} +(1.39578 + 2.41756i) q^{23} +(3.97445 + 4.73656i) q^{24} +(-0.679490 + 4.95361i) q^{25} +(-0.0948281 + 0.164247i) q^{26} +(2.99500 - 1.72916i) q^{27} +(-0.312158 + 0.372015i) q^{28} +(-2.08912 - 1.20615i) q^{29} +(-4.66732 + 4.07081i) q^{30} +7.10743i q^{31} +(-0.227127 - 1.28810i) q^{32} +(-2.94256 - 3.50681i) q^{33} +(2.75385 + 1.00232i) q^{34} +(-3.63542 - 2.93397i) q^{35} +0.311462 q^{36} +(-1.92013 - 5.77175i) q^{37} +5.42399i q^{38} +(0.101642 + 0.279260i) q^{39} +(6.51266 - 1.27711i) q^{40} +(3.30254 - 2.77116i) q^{41} +(-1.00481 - 5.69858i) q^{42} +0.637427 q^{43} +(0.0886964 + 0.503022i) q^{44} +(0.0572433 + 2.99565i) q^{45} +(2.84307 + 2.38562i) q^{46} +(4.36233 - 2.51859i) q^{47} +(6.28039 + 3.62598i) q^{48} +(-2.47619 + 0.901260i) q^{49} +(1.40358 + 6.49760i) q^{50} +(3.97686 - 2.29604i) q^{51} +(0.00575799 - 0.0326552i) q^{52} +(-12.0033 - 2.11651i) q^{53} +(2.95542 - 3.52214i) q^{54} +(-4.82178 + 0.945534i) q^{55} +(-2.12083 + 5.82693i) q^{56} +(6.51071 + 5.46313i) q^{57} +(-3.15842 - 0.556915i) q^{58} +(-13.3122 - 2.34730i) q^{59} +(0.523384 - 0.947902i) q^{60} +(6.93152 + 8.26066i) q^{61} +(3.23185 + 8.87943i) q^{62} +(-2.42439 - 1.39972i) q^{63} +(-4.35055 - 7.53537i) q^{64} +(0.315136 + 0.0493788i) q^{65} +(-5.27078 - 3.04309i) q^{66} +(-3.15297 + 0.555953i) q^{67} -0.512375 q^{68} +(5.72717 - 1.00985i) q^{69} +(-5.87591 - 2.01238i) q^{70} +(-7.56215 - 2.75240i) q^{71} +(3.73713 - 1.36020i) q^{72} -1.78846i q^{73} +(-5.02334 - 6.33763i) q^{74} +(9.21313 + 4.85970i) q^{75} +(-0.324343 - 0.891124i) q^{76} +(1.57020 - 4.31408i) q^{77} +(0.253966 + 0.302665i) q^{78} +(-15.4992 + 2.73292i) q^{79} +(6.66549 - 4.02005i) q^{80} +(-1.94909 - 11.0539i) q^{81} +(2.86583 - 4.96377i) q^{82} +(2.13561 - 2.54512i) q^{83} +(0.505846 + 0.876151i) q^{84} +(-0.0941689 - 4.92803i) q^{85} +(0.796348 - 0.289847i) q^{86} +(-3.84971 + 3.23029i) q^{87} +(3.26102 + 5.64825i) q^{88} +(18.4072 + 3.24569i) q^{89} +(1.43368 + 3.71648i) q^{90} +(-0.191573 + 0.228308i) q^{91} +(-0.609751 - 0.221931i) q^{92} +(13.9136 + 5.06414i) q^{93} +(4.30469 - 5.13013i) q^{94} +(8.51124 - 3.28331i) q^{95} +(-2.68343 - 0.473162i) q^{96} +(4.78516 + 8.28814i) q^{97} +(-2.68373 + 2.25192i) q^{98} +(-2.76686 + 1.00705i) 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

)

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

$2$	1.24932	−	0.454714i	0.883400	−	0.321531i	0.139819	−	0.990177i	$-0.455348\pi$
$2$	1.24932	−	0.454714i	0.883400	−	0.321531i	0.743581	+	0.668646i	$0.233126\pi$
$3$	0.712514	−	1.95762i	0.411370	−	1.13023i	−0.545092	−	0.838376i	$-0.683505\pi$
$3$	0.712514	−	1.95762i	0.411370	−	1.13023i	0.956463	−	0.291855i	$-0.0942723\pi$
$4$	−0.178063	+	0.149413i	−0.0890315	+	0.0747063i
$5$	−1.46978	−	1.68515i	−0.657306	−	0.753624i
$5$	−1.46978	−	1.68515i	−0.657306	−	0.753624i
$6$		−	2.76967i		−	1.13071i
$7$	2.05749	−	0.362791i	0.777659	−	0.137122i	0.229289	−	0.973358i	$-0.426360\pi$
$7$	2.05749	−	0.362791i	0.777659	−	0.137122i	0.548370	+	0.836236i	$0.315249\pi$
$8$	−1.48401	+	2.57038i	−0.524677	+	0.908768i
$9$	−1.02645	−	0.861296i	−0.342151	−	0.287099i
$10$	−2.60248	−	1.43696i	−0.822977	−	0.454407i
$11$	1.09872	−	1.90303i	0.331276	−	0.573786i	−0.651487	−	0.758660i	$-0.725854\pi$
$11$	1.09872	−	1.90303i	0.331276	−	0.573786i	0.982762	+	0.184874i	$0.0591876\pi$
$12$	0.165620	+	0.455038i	0.0478104	+	0.131358i
$13$	−0.109278	+	0.0916955i	−0.0303084	+	0.0254318i	−0.657816	−	0.753179i	$-0.728520\pi$
$13$	−0.109278	+	0.0916955i	−0.0303084	+	0.0254318i	0.627508	+	0.778610i	$0.284075\pi$
$14$	2.40549	−	1.38881i	0.642895	−	0.371175i
$15$	−4.34613	+	1.67657i	−1.12216	+	0.432889i
$16$	−0.604483	+	3.42819i	−0.151121	+	0.857049i
$17$	1.68858	+	1.41689i	0.409541	+	0.343645i	0.824168	−	0.566346i	$-0.191643\pi$
$17$	1.68858	+	1.41689i	0.409541	+	0.343645i	−0.414627	+	0.909992i	$0.636088\pi$
$18$	−1.67401	−	0.609289i	−0.394567	−	0.143611i
$19$	−1.39535	+	3.83370i	−0.320116	+	0.879511i	0.670386	+	0.742013i	$0.266129\pi$
$19$	−1.39535	+	3.83370i	−0.320116	+	0.879511i	−0.990502	+	0.137499i	$0.956094\pi$
$20$	0.513497	+	0.0804600i	0.114821	+	0.0179914i
$21$	0.755786	−	4.28627i	0.164926	−	0.935342i
$22$	0.507309	−	2.87709i	0.108159	−	0.613398i
$23$	1.39578	+	2.41756i	0.291040	+	0.504096i	0.974056	−	0.226307i	$-0.0726654\pi$
$23$	1.39578	+	2.41756i	0.291040	+	0.504096i	−0.683016	+	0.730404i	$0.739332\pi$
$24$	3.97445	+	4.73656i	0.811280	+	0.966846i
$25$	−0.679490	+	4.95361i	−0.135898	+	0.990723i
$26$	−0.0948281	+	0.164247i	−0.0185973	+	0.0322115i
$27$	2.99500	−	1.72916i	0.576388	−	0.332778i
$28$	−0.312158	+	0.372015i	−0.0589923	+	0.0703043i
$29$	−2.08912	−	1.20615i	−0.387940	−	0.223977i	0.293327	−	0.956012i	$-0.405237\pi$
$29$	−2.08912	−	1.20615i	−0.387940	−	0.223977i	−0.681267	+	0.732035i	$0.738571\pi$
$30$	−4.66732	+	4.07081i	−0.852133	+	0.743225i
$31$			7.10743i			1.27653i	0.769816	+	0.638266i	$0.220348\pi$
$31$			7.10743i			1.27653i	−0.769816	+	0.638266i	$0.779652\pi$
$32$	−0.227127	−	1.28810i	−0.0401507	−	0.227706i
$33$	−2.94256	−	3.50681i	−0.512234	−	0.610457i
$34$	2.75385	+	1.00232i	0.472281	+	0.171896i
$35$	−3.63542	−	2.93397i	−0.614498	−	0.495931i
$36$	0.311462			0.0519103
$37$	−1.92013	−	5.77175i	−0.315667	−	0.948870i
$37$	−1.92013	−	5.77175i	−0.315667	−	0.948870i
$38$			5.42399i			0.879888i
$39$	0.101642	+	0.279260i	0.0162758	+	0.0447173i
$40$	6.51266	−	1.27711i	1.02974	−	0.201929i
$41$	3.30254	−	2.77116i	0.515770	−	0.432783i	−0.347384	−	0.937723i	$-0.612930\pi$
$41$	3.30254	−	2.77116i	0.515770	−	0.432783i	0.863154	+	0.504940i	$0.168486\pi$
$42$	−1.00481	−	5.69858i	−0.155046	−	0.879310i
$43$	0.637427			0.0972067			0.0486034	−	0.998818i	$-0.484523\pi$
$43$	0.637427			0.0972067			0.0486034	+	0.998818i	$0.484523\pi$
$44$	0.0886964	+	0.503022i	0.0133715	+	0.0758335i
$45$	0.0572433	+	2.99565i	0.00853333	+	0.446565i
$46$	2.84307	+	2.38562i	0.419187	+	0.351740i
$47$	4.36233	−	2.51859i	0.636311	−	0.367374i	−0.146881	−	0.989154i	$-0.546923\pi$
$47$	4.36233	−	2.51859i	0.636311	−	0.367374i	0.783192	+	0.621780i	$0.213590\pi$
$48$	6.28039	+	3.62598i	0.906496	+	0.523366i
$49$	−2.47619	+	0.901260i	−0.353742	+	0.128751i
$50$	1.40358	+	6.49760i	0.198496	+	0.918900i
$51$	3.97686	−	2.29604i	0.556871	−	0.321510i
$52$	0.00575799	−	0.0326552i	0.000798489	−	0.00452846i
$53$	−12.0033	−	2.11651i	−1.64879	−	0.290725i	−0.729401	−	0.684086i	$-0.760201\pi$
$53$	−12.0033	−	2.11651i	−1.64879	−	0.290725i	−0.919384	+	0.393360i	$0.871312\pi$
$54$	2.95542	−	3.52214i	0.402182	−	0.479302i
$55$	−4.82178	+	0.945534i	−0.650169	+	0.127496i
$56$	−2.12083	+	5.82693i	−0.283408	+	0.778656i
$57$	6.51071	+	5.46313i	0.862364	+	0.723610i
$58$	−3.15842	−	0.556915i	−0.414721	−	0.0731266i
$59$	−13.3122	−	2.34730i	−1.73310	−	0.305592i	−0.784046	−	0.620703i	$-0.786847\pi$
$59$	−13.3122	−	2.34730i	−1.73310	−	0.305592i	−0.949055	+	0.315111i	$0.897958\pi$
$60$	0.523384	−	0.947902i	0.0675685	−	0.122374i
$61$	6.93152	+	8.26066i	0.887490	+	1.05767i	0.997963	+	0.0637899i	$0.0203188\pi$
$61$	6.93152	+	8.26066i	0.887490	+	1.05767i	−0.110474	+	0.993879i	$0.535237\pi$
$62$	3.23185	+	8.87943i	0.410445	+	1.12769i
$63$	−2.42439	−	1.39972i	−0.305444	−	0.176348i
$64$	−4.35055	−	7.53537i	−0.543819	−	0.941921i
$65$	0.315136	+	0.0493788i	0.0390879	+	0.00612469i
$66$	−5.27078	−	3.04309i	−0.648788	−	0.374578i
$67$	−3.15297	+	0.555953i	−0.385196	+	0.0679205i	−0.362893	−	0.931831i	$-0.618211\pi$
$67$	−3.15297	+	0.555953i	−0.385196	+	0.0679205i	−0.0223030	+	0.999751i	$0.507100\pi$
$68$	−0.512375			−0.0621345
$69$	5.72717	−	1.00985i	0.689470	−	0.121572i
$70$	−5.87591	−	2.01238i	−0.702305	−	0.240525i
$71$	−7.56215	−	2.75240i	−0.897462	−	0.326649i	−0.148227	−	0.988953i	$-0.547357\pi$
$71$	−7.56215	−	2.75240i	−0.897462	−	0.326649i	−0.749235	+	0.662304i	$0.769579\pi$
$72$	3.73713	−	1.36020i	0.440425	−	0.160302i
$73$		−	1.78846i		−	0.209323i	−0.994508	−	0.104662i	$-0.966624\pi$
$73$		−	1.78846i		−	0.209323i	0.994508	−	0.104662i	$-0.0333760\pi$
$74$	−5.02334	−	6.33763i	−0.583951	−	0.736735i
$75$	9.21313	+	4.85970i	1.06384	+	0.561150i
$76$	−0.324343	−	0.891124i	−0.0372047	−	0.102219i
$77$	1.57020	−	4.31408i	0.178941	−	0.491635i
$78$	0.253966	+	0.302665i	0.0287560	+	0.0342701i
$79$	−15.4992	+	2.73292i	−1.74379	+	0.307478i	−0.952631	−	0.304129i	$-0.901635\pi$
$79$	−15.4992	+	2.73292i	−1.74379	+	0.307478i	−0.791162	+	0.611606i	$0.790524\pi$
$80$	6.66549	−	4.02005i	0.745225	−	0.449455i
$81$	−1.94909	−	11.0539i	−0.216566	−	1.22821i
$82$	2.86583	−	4.96377i	0.316478	−	0.548156i
$83$	2.13561	−	2.54512i	0.234413	−	0.279363i	−0.635995	−	0.771693i	$-0.719410\pi$
$83$	2.13561	−	2.54512i	0.234413	−	0.279363i	0.870409	+	0.492330i	$0.163855\pi$
$84$	0.505846	+	0.876151i	0.0551923	+	0.0955959i
$85$	−0.0941689	−	4.92803i	−0.0102141	−	0.534520i
$86$	0.796348	−	0.289847i	0.0858724	−	0.0312550i
$87$	−3.84971	+	3.23029i	−0.412732	+	0.346324i
$88$	3.26102	+	5.64825i	0.347626	+	0.602105i
$89$	18.4072	+	3.24569i	1.95116	+	0.344043i	0.999295	+	0.0375378i	$0.0119515\pi$
$89$	18.4072	+	3.24569i	1.95116	+	0.344043i	0.951869	+	0.306505i	$0.0991597\pi$
$90$	1.43368	+	3.71648i	0.151123	+	0.391751i
$91$	−0.191573	+	0.228308i	−0.0200823	+	0.0239332i
$92$	−0.609751	−	0.221931i	−0.0635709	−	0.0231379i
$93$	13.9136	+	5.06414i	1.44278	+	0.525127i
$94$	4.30469	−	5.13013i	0.443995	−	0.529132i
$95$	8.51124	−	3.28331i	0.873235	−	0.336861i
$96$	−2.68343	−	0.473162i	−0.273877	−	0.0482919i
$97$	4.78516	+	8.28814i	0.485859	+	0.841533i	0.999868	−	0.0162519i	$-0.00517336\pi$
$97$	4.78516	+	8.28814i	0.485859	+	0.841533i	−0.514009	+	0.857785i	$0.671840\pi$
$98$	−2.68373	+	2.25192i	−0.271098	+	0.227478i
$99$	−2.76686	+	1.00705i	−0.278080	+	0.101213i
$100$	−0.619141	−	0.983580i	−0.0619141	−	0.0983580i
$101$	0.914760	+	1.58441i	0.0910220	+	0.157655i	0.907941	−	0.419097i	$-0.137653\pi$
$101$	0.914760	+	1.58441i	0.0910220	+	0.157655i	−0.816919	+	0.576752i	$0.804320\pi$
$102$	3.92431	−	4.67681i	0.388565	−	0.463073i
$103$	6.40012	−	11.0853i	0.630623	−	1.09227i	−0.356802	−	0.934180i	$-0.616133\pi$
$103$	6.40012	−	11.0853i	0.630623	−	1.09227i	0.987425	−	0.158090i	$-0.0505338\pi$
$104$	−0.0735221	−	0.416965i	−0.00720944	−	0.0408868i
$105$	−8.33387	+	5.02627i	−0.813303	+	0.490513i
$106$	−15.9584	+	2.81389i	−1.55001	+	0.273309i
$107$	−4.76553	−	5.67934i	−0.460701	−	0.549042i	0.484815	−	0.874617i	$-0.338887\pi$
$107$	−4.76553	−	5.67934i	−0.460701	−	0.549042i	−0.945517	+	0.325574i	$0.894442\pi$
$108$	−0.274940	+	0.755391i	−0.0264561	+	0.0726875i
$109$	−2.87069	−	7.88717i	−0.274963	−	0.755454i	−0.997914	−	0.0645550i	$-0.979437\pi$
$109$	−2.87069	−	7.88717i	−0.274963	−	0.755454i	0.722951	−	0.690899i	$-0.242785\pi$
$110$	−5.59398	+	3.37380i	−0.533365	+	0.321679i
$111$	−12.6670	−	0.353584i	−1.20230	−	0.0335607i
$112$			7.27278i			0.687213i
$113$	11.6809	−	4.25150i	1.09885	−	0.399947i	0.271955	−	0.962310i	$-0.412330\pi$
$113$	11.6809	−	4.25150i	1.09885	−	0.399947i	0.826891	+	0.562363i	$0.190107\pi$
$114$	10.6181	+	3.86467i	0.994476	+	0.361960i
$115$	2.02247	−	5.90539i	0.188597	−	0.550680i
$116$	0.552209	−	0.0973694i	0.0512714	−	0.00904052i
$117$	0.191146			0.0176715
$118$	−17.6985	+	3.12072i	−1.62928	+	0.287286i
$119$	3.98827	+	2.30263i	0.365604	+	0.211082i
$120$	2.14027	−	13.6593i	0.195379	−	1.24691i
$121$	3.08564	+	5.34449i	0.280513	+	0.485862i
$122$	12.4159	+	7.16832i	1.12408	+	0.648989i
$123$	−3.07176	−	8.43960i	−0.276972	−	0.760973i
$124$	−1.06194	−	1.26557i	−0.0953650	−	0.113652i
$125$	9.34631	−	6.13568i	0.835959	−	0.548792i
$126$	−3.66530	−	0.646291i	−0.326531	−	0.0575762i
$127$	−20.2981	−	3.57911i	−1.80117	−	0.317594i	−0.830318	−	0.557289i	$-0.811841\pi$
$127$	−20.2981	−	3.57911i	−1.80117	−	0.317594i	−0.970848	+	0.239695i	$0.922953\pi$
$128$	−6.85772	−	5.75431i	−0.606143	−	0.508614i
$129$	0.454176	−	1.24784i	0.0399879	−	0.109866i
$130$	0.416158	−	0.0816072i	0.0364995	−	0.00715742i
$131$	0.580925	−	0.692320i	0.0507557	−	0.0604883i	−0.740069	−	0.672531i	$-0.765207\pi$
$131$	0.580925	−	0.692320i	0.0507557	−	0.0604883i	0.790825	+	0.612042i	$0.209652\pi$
$132$	1.04792	+	0.184777i	0.0912099	+	0.0160828i
$133$	−1.48009	+	8.39403i	−0.128340	+	0.727855i
$134$	−3.68625	+	2.12826i	−0.318444	+	0.183853i
$135$	−7.31590	−	2.50554i	−0.629652	−	0.215643i
$136$	−6.14781	+	2.23762i	−0.527171	+	0.191874i
$137$	−2.24956	−	1.29879i	−0.192193	−	0.110963i	0.400816	−	0.916159i	$-0.368727\pi$
$137$	−2.24956	−	1.29879i	−0.192193	−	0.110963i	−0.593009	+	0.805196i	$0.702060\pi$
$138$	6.69585	−	3.86585i	0.569989	−	0.329083i
$139$	12.1476	+	10.1930i	1.03035	+	0.864563i	0.990892	−	0.134658i	$-0.0429936\pi$
$139$	12.1476	+	10.1930i	1.03035	+	0.864563i	0.0394541	+	0.999221i	$0.487438\pi$
$140$	1.08571	−	0.0207466i	0.0917589	−	0.00175341i
$141$	−1.82222	−	10.3343i	−0.153458	−	0.870305i
$142$	−10.6991			−0.897846
$143$	0.0544336	+	0.308708i	0.00455196	+	0.0258155i
$144$	3.57316	−	2.99824i	0.297764	−	0.249853i
$145$	1.03799	+	5.29327i	0.0862005	+	0.439582i
$146$	−0.813238	−	2.23435i	−0.0673040	−	0.184916i
$147$			5.48960i			0.452774i
$148$	1.20428	+	0.740845i	0.0989909	+	0.0608971i
$149$	19.1935			1.57240			0.786198	−	0.617975i	$-0.212047\pi$
$149$	19.1935			1.57240			0.786198	+	0.617975i	$0.212047\pi$
$150$	13.7199	+	1.88197i	1.12022	+	0.153662i
$151$	11.2417	+	4.09164i	0.914836	+	0.332973i	0.756182	−	0.654361i	$-0.227062\pi$
$151$	11.2417	+	4.09164i	0.914836	+	0.332973i	0.158654	+	0.987334i	$0.449285\pi$
$152$	−7.78336	−	9.27585i	−0.631314	−	0.752371i
$153$	−0.512888	−	2.90873i	−0.0414646	−	0.235157i
$154$		−	6.10364i		−	0.491846i
$155$	11.9771	−	10.4464i	0.962025	−	0.839072i
$156$	−0.0598237	−	0.0345392i	−0.00478973	−	0.00276535i
$157$	0.0530778	−	0.0632556i	0.00423607	−	0.00504835i	−0.763922	−	0.645308i	$-0.776729\pi$
$157$	0.0530778	−	0.0632556i	0.00423607	−	0.00504835i	0.768158	+	0.640260i	$0.221173\pi$
$158$	−18.1207	+	10.4620i	−1.44160	+	0.832310i
$159$	−12.6959	+	21.9899i	−1.00685	+	1.74391i
$160$	−1.83682	+	2.27597i	−0.145213	+	0.179931i
$161$	3.74887	+	4.46774i	0.295453	+	0.352107i
$162$	−7.46137	−	12.9235i	−0.586221	−	1.01536i
$163$	−3.92185	+	22.2419i	−0.307183	+	1.74212i	0.305864	+	0.952075i	$0.401055\pi$
$163$	−3.92185	+	22.2419i	−0.307183	+	1.74212i	−0.613047	+	0.790046i	$0.710057\pi$
$164$	−0.174014	+	0.986883i	−0.0135882	+	0.0770626i
$165$	−1.58459	+	10.1129i	−0.123360	+	0.787288i
$166$	1.51075	−	4.15075i	0.117257	−	0.322160i
$167$	−8.88421	−	3.23359i	−0.687481	−	0.250223i	−0.0254245	−	0.999677i	$-0.508094\pi$
$167$	−8.88421	−	3.23359i	−0.687481	−	0.250223i	−0.662056	+	0.749454i	$0.730316\pi$
$168$	9.89577	+	8.30354i	0.763475	+	0.640632i
$169$	−2.25389	+	12.7825i	−0.173376	+	0.983266i
$170$	−2.35849	−	6.11385i	−0.180888	−	0.468911i
$171$	4.73422	−	2.73330i	0.362035	−	0.209021i
$172$	−0.113502	+	0.0952397i	−0.00865446	+	0.00726196i
$173$	−7.27472	−	19.9871i	−0.553086	−	1.51959i	−0.829474	−	0.558546i	$-0.811359\pi$
$173$	−7.27472	−	19.9871i	−0.553086	−	1.51959i	0.276387	−	0.961046i	$-0.410863\pi$
$174$	−3.34065	+	5.78617i	−0.253254	+	0.438649i
$175$	0.399082	+	10.4385i	0.0301678	+	0.789079i
$176$	5.85981	+	4.91697i	0.441700	+	0.370630i
$177$	−14.0802	+	24.3877i	−1.05834	+	1.83309i
$178$	24.4723	−	4.31513i	1.83428	−	0.323433i
$179$		−	9.99260i		−	0.746882i	−0.927654	−	0.373441i	$-0.878178\pi$
$179$		−	9.99260i		−	0.746882i	0.927654	−	0.373441i	$-0.121822\pi$
$180$	−0.457781	−	0.524861i	−0.0341210	−	0.0391209i
$181$	−9.05557	+	7.59852i	−0.673095	+	0.564794i	−0.913980	−	0.405760i	$-0.867007\pi$
$181$	−9.05557	+	7.59852i	−0.673095	+	0.564794i	0.240885	+	0.970554i	$0.422562\pi$
$182$	−0.135521	+	0.372340i	−0.0100455	+	0.0275997i
$183$	21.1100	−	7.68341i	1.56050	−	0.567974i
$184$	−8.28541			−0.610809
$185$	−6.90413	+	11.7189i	−0.507602	+	0.861592i
$186$	19.6852			1.44339
$187$	4.55166	−	1.65667i	0.332850	−	0.121148i
$188$	−0.400460	+	1.10026i	−0.0292066	+	0.0802444i
$189$	5.53486	−	4.64430i	0.402602	−	0.337823i
$190$	9.14026	−	7.97208i	0.663104	−	0.578355i
$191$			18.9524i			1.37135i	0.727909	+	0.685674i	$0.240493\pi$
$191$			18.9524i			1.37135i	−0.727909	+	0.685674i	$0.759507\pi$
$192$	−17.8512	+	3.14765i	−1.28830	+	0.227162i
$193$	7.04176	−	12.1967i	0.506877	−	0.877937i	−0.493091	−	0.869978i	$-0.664133\pi$
$193$	7.04176	−	12.1967i	0.506877	−	0.877937i	0.999968	−	0.00795950i	$-0.00253362\pi$
$194$	9.74691	+	8.17863i	0.699787	+	0.587191i
$195$	0.321204	−	0.581733i	0.0230019	−	0.0416588i
$196$	0.306259	−	0.530456i	0.0218756	−	0.0378897i
$197$	4.84371	+	13.3080i	0.345100	+	0.948154i	0.983890	+	0.178773i	$0.0572129\pi$
$197$	4.84371	+	13.3080i	0.345100	+	0.948154i	−0.638790	+	0.769381i	$0.720565\pi$
$198$	−2.99876	+	2.51626i	−0.213112	+	0.178823i
$199$	−8.71697	+	5.03275i	−0.617930	+	0.356762i	−0.776063	−	0.630656i	$-0.782786\pi$
$199$	−8.71697	+	5.03275i	−0.617930	+	0.356762i	0.158133	+	0.987418i	$0.449453\pi$
$200$	−11.7243	−	9.09777i	−0.829034	−	0.643310i
$201$	−1.15819	+	6.56842i	−0.0816924	+	0.463301i
$202$	1.86328	+	1.56348i	0.131100	+	0.110006i
$203$	−4.73593	−	1.72374i	−0.332397	−	0.120983i
$204$	−0.365074	+	1.00303i	−0.0255603	+	0.0702264i
$205$	−9.52384	−	1.49229i	−0.665174	−	0.104226i
$206$	2.95512	−	16.7593i	0.205893	−	1.16768i
$207$	0.649534	−	3.68369i	0.0451457	−	0.256034i
$208$	−0.248293	−	0.430056i	−0.0172160	−	0.0298190i
$209$	5.76257	+	6.86756i	0.398605	+	0.475039i
$210$	−8.12613	+	10.0689i	−0.560756	+	0.694822i
$211$	6.02963	−	10.4436i	0.415097	−	0.718969i	−0.580342	−	0.814373i	$-0.697081\pi$
$211$	6.02963	−	10.4436i	0.415097	−	0.718969i	0.995439	+	0.0954044i	$0.0304144\pi$
$212$	2.45359	−	1.41658i	0.168513	−	0.0972910i
$213$	−10.7763	+	12.8427i	−0.738378	+	0.879965i
$214$	−8.53613	−	4.92834i	−0.583518	−	0.336894i
$215$	−0.936878	−	1.07416i	−0.0638945	−	0.0732573i
$216$			10.2644i			0.698403i
$217$	2.57851	+	14.6235i	0.175041	+	0.992706i
$218$	−7.17281	−	8.54822i	−0.485804	−	0.578959i
$219$	−3.50112	−	1.27430i	−0.236584	−	0.0861094i
$220$	0.717306	−	0.888800i	0.0483608	−	0.0599229i
$221$	−0.314448			−0.0211520
$222$	−15.9859	+	5.31812i	−1.07290	+	0.356929i
$223$			1.11069i			0.0743776i	0.999308	+	0.0371888i	$0.0118403\pi$
$223$			1.11069i			0.0743776i	−0.999308	+	0.0371888i	$0.988160\pi$
$224$	−0.934622	−	2.56785i	−0.0624471	−	0.171572i
$225$	4.96399	−	4.49941i	0.330933	−	0.299961i
$226$	12.6599	−	10.6229i	0.842125	−	0.706627i
$227$	1.68977	+	9.58318i	0.112154	+	0.636058i	0.988120	+	0.153685i	$0.0491140\pi$
$227$	1.68977	+	9.58318i	0.112154	+	0.636058i	−0.875966	+	0.482373i	$0.839775\pi$
$228$	−1.97558			−0.130836
$229$	−2.60606	−	14.7797i	−0.172213	−	0.976669i	−0.941312	−	0.337539i	$-0.890406\pi$
$229$	−2.60606	−	14.7797i	−0.172213	−	0.976669i	0.769098	−	0.639130i	$-0.220706\pi$
$230$	−0.158553	−	8.29734i	−0.0104546	−	0.547111i
$231$	−7.32653	−	6.14769i	−0.482050	−	0.404488i
$232$	6.20055	−	3.57989i	0.407086	−	0.235031i
$233$	19.2509	+	11.1145i	1.26117	+	0.728134i	0.973300	−	0.229537i	$-0.0737210\pi$
$233$	19.2509	+	11.1145i	1.26117	+	0.728134i	0.287866	+	0.957671i	$0.407054\pi$
$234$	0.238802	−	0.0869168i	0.0156110	−	0.00568193i
$235$	−10.6559	−	3.64942i	−0.695113	−	0.238062i
$236$	2.72113	−	1.57104i	0.177130	−	0.102266i
$237$	−5.69337	+	32.2887i	−0.369824	+	2.09738i
$238$	6.02965	+	1.06319i	0.390844	+	0.0689164i
$239$	3.56934	−	4.25378i	0.230882	−	0.275154i	−0.638148	−	0.769913i	$-0.720299\pi$
$239$	3.56934	−	4.25378i	0.230882	−	0.275154i	0.869030	+	0.494759i	$0.164744\pi$
$240$	−3.12045	−	15.9128i	−0.201424	−	1.02717i
$241$	4.93122	−	13.5484i	0.317648	−	0.872731i	−0.673406	−	0.739272i	$-0.735170\pi$
$241$	4.93122	−	13.5484i	0.317648	−	0.872731i	0.991054	−	0.133458i	$-0.0426082\pi$
$242$	6.28515	+	5.27387i	0.404025	+	0.339017i
$243$	−12.8106	−	2.25886i	−0.821801	−	0.144906i
$244$	−2.46849	−	0.435262i	−0.158029	−	0.0278648i
$245$	5.15822	+	2.84811i	0.329547	+	0.181959i
$246$	−7.67520	−	9.14695i	−0.489353	−	0.583188i
$247$	−0.199051	−	0.546889i	−0.0126653	−	0.0347977i
$248$	−18.2688	−	10.5475i	−1.16007	−	0.669767i
$249$	−3.46071	−	5.99413i	−0.219314	−	0.379863i
$250$	8.88651	−	11.9153i	0.562032	−	0.753590i
$251$	−0.243065	−	0.140333i	−0.0153421	−	0.00885777i	0.492309	−	0.870420i	$-0.336153\pi$
$251$	−0.243065	−	0.140333i	−0.0153421	−	0.00885777i	−0.507651	+	0.861563i	$0.669486\pi$
$252$	0.640830	−	0.112996i	0.0403685	−	0.00711806i
$253$	6.13427			0.385658
$254$	−26.9862	+	4.75840i	−1.69327	+	0.298569i
$255$	−9.71429	−	3.32694i	−0.608332	−	0.208341i
$256$	5.16869	+	1.88125i	0.323043	+	0.117578i
$257$	6.01727	−	2.19011i	0.375347	−	0.136615i	−0.147456	−	0.989069i	$-0.547109\pi$
$257$	6.01727	−	2.19011i	0.375347	−	0.136615i	0.522803	+	0.852454i	$0.324886\pi$
$258$		−	1.76546i		−	0.109913i
$259$	−6.04459	−	11.1787i	−0.375592	−	0.694612i
$260$	−0.0634920	+	0.0382928i	−0.00393761	+	0.00237482i
$261$	1.10553	+	3.03741i	0.0684304	+	0.188011i
$262$	0.410952	−	1.12908i	0.0253887	−	0.0697548i
$263$	−14.6255	−	17.4300i	−0.901850	−	1.07478i	−0.996850	−	0.0793057i	$-0.974730\pi$
$263$	−14.6255	−	17.4300i	−0.901850	−	1.07478i	0.0950004	−	0.995477i	$-0.469715\pi$
$264$	13.3806	−	2.35937i	0.823521	−	0.145209i
$265$	14.0756	+	23.3383i	0.864659	+	1.43366i
$266$	1.96778	+	11.1598i	0.120652	+	0.684252i
$267$	19.4692	−	33.7217i	1.19150	−	2.06374i
$268$	0.478360	−	0.570088i	0.0292205	−	0.0348237i
$269$	6.24891	+	10.8234i	0.381003	+	0.659916i	0.991206	−	0.132329i	$-0.0422456\pi$
$269$	6.24891	+	10.8234i	0.381003	+	0.659916i	−0.610203	+	0.792245i	$0.708912\pi$
$270$	−10.2792	+	0.196423i	−0.625570	+	0.0119539i
$271$	9.15858	−	3.33345i	0.556344	−	0.202493i	−0.0485187	−	0.998822i	$-0.515450\pi$
$271$	9.15858	−	3.33345i	0.556344	−	0.202493i	0.604863	+	0.796329i	$0.293228\pi$
$272$	−5.87808	+	4.93230i	−0.356411	+	0.299064i
$273$	0.310441	+	0.537700i	0.0187887	+	0.0325431i
$274$	−3.40099	−	0.599687i	−0.205462	−	0.0362284i
$275$	8.68033	+	6.73572i	0.523444	+	0.406179i
$276$	−0.868912	+	1.03553i	−0.0523024	+	0.0623316i
$277$	−20.5310	−	7.47266i	−1.23359	−	0.448988i	−0.358761	−	0.933429i	$-0.616801\pi$
$277$	−20.5310	−	7.47266i	−1.23359	−	0.448988i	−0.874824	+	0.484441i	$0.839023\pi$
$278$	19.8111	+	7.21066i	1.18819	+	0.432466i
$279$	6.12160	−	7.29544i	0.366491	−	0.436767i
$280$	12.9364	−	4.99038i	0.773099	−	0.298232i
$281$	−19.9371	−	3.51546i	−1.18935	−	0.209715i	−0.456260	−	0.889846i	$-0.650811\pi$
$281$	−19.9371	−	3.51546i	−1.18935	−	0.209715i	−0.733090	+	0.680132i	$0.761923\pi$
$282$	−6.97567	−	12.0822i	−0.415395	−	0.719485i
$283$	19.3047	−	16.1985i	1.14754	−	0.962903i	0.147884	−	0.989005i	$-0.452754\pi$
$283$	19.3047	−	16.1985i	1.14754	−	0.962903i	0.999659	+	0.0261013i	$0.00830926\pi$
$284$	1.75778	−	0.639781i	0.104305	−	0.0379640i
$285$	−0.363090	−	19.0012i	−0.0215076	−	1.12553i
$286$	0.208379	+	0.360922i	0.0123217	+	0.0213418i
$287$	5.78960	−	6.89977i	0.341749	−	0.407281i
$288$	−0.876300	+	1.51780i	−0.0516365	+	0.0894370i
$289$	−2.10829	−	11.9567i	−0.124017	−	0.703334i
$290$	3.70370	+	6.14097i	0.217489	+	0.360610i
$291$	19.6345	−	3.46209i	1.15099	−	0.202951i
$292$	0.267219	+	0.318459i	0.0156378	+	0.0186364i
$293$	2.71705	−	7.46503i	0.158732	−	0.436112i	−0.834677	−	0.550740i	$-0.814346\pi$
$293$	2.71705	−	7.46503i	0.158732	−	0.436112i	0.993408	+	0.114628i	$0.0365677\pi$
$294$	2.49620	+	6.85824i	0.145581	+	0.399981i
$295$	15.6104	+	25.8831i	0.908875	+	1.50697i
$296$	17.6851	+	3.62989i	1.02793	+	0.210983i
$297$		−	7.59944i		−	0.440965i
$298$	23.9788	−	8.72757i	1.38905	−	0.505574i
$299$	−0.374208	−	0.136201i	−0.0216410	−	0.00787669i
$300$	−2.36662	+	0.511225i	−0.136637	+	0.0295156i
$301$	1.31150	−	0.231253i	0.0755937	−	0.0133292i
$302$	15.9050			0.915228
$303$	3.75345	−	0.661834i	0.215630	−	0.0380214i
$304$	−12.2992	−	7.10095i	−0.705408	−	0.407267i
$305$	3.73268	−	23.8220i	0.213733	−	1.36405i
$306$	−1.96340	−	3.40071i	−0.112240	−	0.194406i
$307$	−14.3001	−	8.25618i	−0.816151	−	0.471205i	0.0329361	−	0.999457i	$-0.489514\pi$
$307$	−14.3001	−	8.25618i	−0.816151	−	0.471205i	−0.849087	+	0.528252i	$0.822848\pi$
$308$	0.364984	+	1.00279i	0.0207969	+	0.0571391i
$309$	−17.1407	−	20.4274i	−0.975098	−	1.16208i
$310$	10.2131	−	18.4970i	0.580065	−	1.05056i
$311$	−21.6718	−	3.82132i	−1.22889	−	0.216687i	−0.478743	−	0.877955i	$-0.658907\pi$
$311$	−21.6718	−	3.82132i	−1.22889	−	0.216687i	−0.750150	+	0.661268i	$0.770019\pi$
$312$	−0.868643	−	0.153165i	−0.0491772	−	0.00867127i
$313$	−3.98487	−	3.34370i	−0.225238	−	0.188997i	0.523184	−	0.852220i	$-0.324744\pi$
$313$	−3.98487	−	3.34370i	−0.225238	−	0.188997i	−0.748422	+	0.663222i	$0.769188\pi$
$314$	0.0375477	−	0.103161i	0.00211894	−	0.00582174i
$315$	1.20457	+	6.14275i	0.0678700	+	0.346105i
$316$	2.35150	−	2.80241i	0.132282	−	0.157648i
$317$	5.31370	+	0.936949i	0.298447	+	0.0526243i	0.320867	−	0.947124i	$-0.396026\pi$
$317$	5.31370	+	0.936949i	0.298447	+	0.0526243i	−0.0224194	+	0.999749i	$0.507137\pi$
$318$	−5.86205	+	33.2453i	−0.328727	+	1.86430i
$319$	−4.59070	+	2.65044i	−0.257030	+	0.148396i
$320$	−6.30391	+	18.4067i	−0.352399	+	1.02897i
$321$	−14.5135	+	5.28247i	−0.810063	+	0.294839i
$322$	6.71507	+	3.87695i	0.374216	+	0.216054i
$323$	−7.78809	+	4.49645i	−0.433341	+	0.250189i
$324$	1.99865	+	1.67706i	0.111036	+	0.0931703i
$325$	−0.379971	−	0.603630i	−0.0210770	−	0.0334833i
$326$	5.21408	+	29.5705i	0.288781	+	1.63776i
$327$	−17.4855			−0.966948
$328$	2.22194	+	12.6012i	0.122686	+	0.695786i
$329$	8.06173	−	6.76460i	0.444458	−	0.372944i
$330$	2.61882	+	13.3547i	0.144161	+	0.735155i
$331$	−0.834469	−	2.29269i	−0.0458666	−	0.126017i	0.914645	−	0.404259i	$-0.132471\pi$
$331$	−0.834469	−	2.29269i	−0.0458666	−	0.126017i	−0.960511	+	0.278242i	$0.910248\pi$
$332$			0.772279i			0.0423843i
$333$	−3.00027	+	7.57823i	−0.164414	+	0.415284i
$334$	−12.5695			−0.687775
$335$	5.57103	+	4.49611i	0.304378	+	0.245648i
$336$	14.2373	+	5.18196i	0.776710	+	0.282699i
$337$	11.4063	+	13.5936i	0.621343	+	0.740488i	0.981301	−	0.192481i	$-0.0616533\pi$
$337$	11.4063	+	13.5936i	0.621343	+	0.740488i	−0.359958	+	0.932969i	$0.617209\pi$
$338$	2.99654	+	16.9942i	0.162990	+	0.924363i
$339$		−	25.8960i		−	1.40648i
$340$	0.753078	+	0.863430i	0.0408414	+	0.0468261i
$341$	13.5257	+	7.80906i	0.732457	+	0.422884i
$342$	4.67166	−	5.56747i	0.252615	−	0.301054i
$343$	−17.4331	+	10.0650i	−0.941297	+	0.543458i
$344$	−0.945949	+	1.63843i	−0.0510021	+	0.0883383i
$345$	−10.1194	−	8.16690i	−0.544812	−	0.439691i
$346$	−18.1768	−	21.6623i	−0.977193	−	1.16457i
$347$	−5.93991	−	10.2882i	−0.318871	−	0.552301i	0.661382	−	0.750049i	$-0.269970\pi$
$347$	−5.93991	−	10.2882i	−0.318871	−	0.552301i	−0.980253	+	0.197749i	$0.936637\pi$
$348$	0.202845	−	1.15039i	0.0108736	−	0.0616674i
$349$	4.87443	−	27.6443i	0.260922	−	1.47976i	−0.519479	−	0.854483i	$-0.673874\pi$
$349$	4.87443	−	27.6443i	0.260922	−	1.47976i	0.780401	−	0.625280i	$-0.215015\pi$
$350$	5.24513	+	12.8596i	0.280364	+	0.687372i
$351$	−0.168732	+	0.463588i	−0.00900626	+	0.0247445i
$352$	−2.70084	−	0.983027i	−0.143955	−	0.0523955i
$353$	−16.5944	−	13.9243i	−0.883228	−	0.741117i	0.0836120	−	0.996498i	$-0.473354\pi$
$353$	−16.5944	−	13.9243i	−0.883228	−	0.741117i	−0.966840	+	0.255382i	$0.917799\pi$
$354$	−6.50125	+	36.8704i	−0.345537	+	1.95964i
$355$	6.47649	+	16.7888i	0.343736	+	0.891058i
$356$	−3.76260	+	2.17234i	−0.199417	+	0.115134i
$357$	7.34937	−	6.16685i	0.388970	−	0.326384i
$358$	−4.54377	−	12.4839i	−0.240146	−	0.659795i
$359$	−13.0696	+	22.6372i	−0.689786	+	1.19474i	0.282121	+	0.959379i	$0.408962\pi$
$359$	−13.0696	+	22.6372i	−0.689786	+	1.19474i	−0.971907	+	0.235366i	$0.924371\pi$
$360$	−7.78491	−	4.29844i	−0.410301	−	0.226548i
$361$	1.80459	+	1.51423i	0.0949784	+	0.0796963i
$362$	−7.85811	+	13.6106i	−0.413013	+	0.715360i
$363$	12.6610	−	2.23248i	0.664531	−	0.117175i
$364$		−	0.0692767i		−	0.00363109i
$365$	−3.01383	+	2.62864i	−0.157751	+	0.137590i
$366$	22.8793	−	19.1980i	1.19592	−	1.00350i
$367$	3.85993	−	10.6051i	0.201487	−	0.553580i	−0.797260	−	0.603636i	$-0.793718\pi$
$367$	3.85993	−	10.6051i	0.201487	−	0.553580i	0.998746	+	0.0500565i	$0.0159401\pi$
$368$	−9.13159	+	3.32363i	−0.476017	+	0.173256i
$369$	−5.77669			−0.300723
$370$	−3.29668	+	17.7800i	−0.171386	+	0.924340i
$371$	−25.4646			−1.32206
$372$	−3.23415	+	1.17713i	−0.167683	+	0.0610316i
$373$	3.73627	−	10.2653i	0.193457	−	0.531519i	−0.804601	−	0.593816i	$-0.797621\pi$
$373$	3.73627	−	10.2653i	0.193457	−	0.531519i	0.998058	+	0.0622977i	$0.0198428\pi$
$374$	4.93315	−	4.13940i	0.255087	−	0.214043i
$375$	−5.35193	−	22.6682i	−0.276373	−	1.17058i
$376$			14.9505i			0.771012i
$377$	0.338894	−	0.0597562i	0.0174540	−	0.00307760i
$378$	4.80296	−	8.31897i	0.247038	−	0.427882i
$379$	19.4059	+	16.2835i	0.996813	+	0.836425i	0.986540	−	0.163522i	$-0.0522855\pi$
$379$	19.4059	+	16.2835i	0.996813	+	0.836425i	0.0102730	+	0.999947i	$0.496730\pi$
$380$	−1.02497	+	1.85632i	−0.0525798	+	0.0952274i
$381$	−21.4692	+	37.1858i	−1.09990	+	1.90508i
$382$	8.61792	+	23.6776i	0.440931	+	1.21145i
$383$	−13.1740	+	11.0543i	−0.673162	+	0.564850i	−0.913999	−	0.405715i	$-0.867022\pi$
$383$	−13.1740	+	11.0543i	−0.673162	+	0.564850i	0.240837	+	0.970565i	$0.422578\pi$
$384$	−16.1510	+	9.32476i	−0.824200	+	0.475852i
$385$	−9.57774	+	3.69473i	−0.488127	+	0.188301i
$386$	3.25138	−	18.4395i	0.165491	−	0.938546i
$387$	−0.654289	−	0.549013i	−0.0332594	−	0.0279079i
$388$	−2.09041	−	0.760848i	−0.106125	−	0.0386262i
$389$	−5.33010	+	14.6443i	−0.270247	+	0.742497i	0.728124	+	0.685445i	$0.240392\pi$
$389$	−5.33010	+	14.6443i	−0.270247	+	0.742497i	−0.998371	+	0.0570519i	$0.981830\pi$
$390$	0.136763	−	0.872825i	0.00692527	−	0.0441972i
$391$	−1.06852	+	6.05991i	−0.0540376	+	0.306463i
$392$	1.35811	−	7.70224i	0.0685951	−	0.389022i
$393$	−0.941379	−	1.63052i	−0.0474863	−	0.0822487i
$394$	12.1026	+	14.4234i	0.609722	+	0.726639i
$395$	27.3858	+	22.1017i	1.37793	+	1.11206i
$396$	0.342209	−	0.592723i	0.0171966	−	0.0297854i
$397$	1.90550	−	1.10014i	0.0956341	−	0.0552144i	−0.451420	−	0.892311i	$-0.649082\pi$
$397$	1.90550	−	1.10014i	0.0956341	−	0.0552144i	0.547054	+	0.837097i	$0.315749\pi$
$398$	−8.60179	+	10.2512i	−0.431169	+	0.513847i
$399$	15.3777	+	8.87832i	0.769848	+	0.444472i
$400$	−16.5712	−	5.32380i	−0.828561	−	0.266190i
$401$		−	21.3109i		−	1.06422i	−0.846677	−	0.532108i	$-0.821400\pi$
$401$		−	21.3109i		−	1.06422i	0.846677	−	0.532108i	$-0.178600\pi$
$402$	1.53981	+	8.73268i	0.0767986	+	0.435546i
$403$	−0.651719	−	0.776689i	−0.0324645	−	0.0386896i
$404$	−0.399616	−	0.145448i	−0.0198816	−	0.00723632i
$405$	−15.7627	+	19.5313i	−0.783256	+	0.970516i
$406$	−6.70047			−0.332539
$407$	−13.0935	−	2.68746i	−0.649022	−	0.133212i
$408$			13.6294i			0.674756i
$409$	4.65509	+	12.7898i	0.230179	+	0.632413i	0.999983	−	0.00586827i	$-0.00186794\pi$
$409$	4.65509	+	12.7898i	0.230179	+	0.632413i	−0.769803	+	0.638281i	$0.779646\pi$
$410$	−12.5769	+	2.46628i	−0.621127	+	0.121801i
$411$	−4.14537	+	3.47838i	−0.204476	+	0.171576i
$412$	0.516664	+	2.93015i	0.0254542	+	0.144358i
$413$	−28.2413			−1.38966
$414$	−0.863552	−	4.89745i	−0.0424413	−	0.240696i
$415$	−7.42779	+	0.141936i	−0.364616	+	0.00696739i
$416$	0.142933	+	0.119935i	0.00700786	+	0.00588030i
$417$	28.6094	−	16.5177i	1.40101	−	0.808873i
$418$	10.3220	+	5.95943i	0.504867	+	0.291485i
$419$	16.0684	−	5.84843i	0.784994	−	0.285714i	0.0817404	−	0.996654i	$-0.473952\pi$
$419$	16.0684	−	5.84843i	0.784994	−	0.285714i	0.703253	+	0.710939i	$0.251730\pi$
$420$	0.732967	−	2.14018i	0.0357651	−	0.104430i
$421$	8.59287	−	4.96110i	0.418791	−	0.241789i	−0.275769	−	0.961224i	$-0.588932\pi$
$421$	8.59287	−	4.96110i	0.418791	−	0.241789i	0.694560	+	0.719435i	$0.255599\pi$
$422$	2.78405	−	15.7891i	0.135525	−	0.768603i
$423$	−6.64698	−	1.17204i	−0.323187	−	0.0569866i
$424$	23.2533	−	27.7123i	1.12928	−	1.34583i
$425$	−8.16608	+	7.40181i	−0.396113	+	0.359041i
$426$	−7.62324	+	20.9447i	−0.369347	+	1.01477i
$427$	17.2584	+	14.4815i	0.835194	+	0.700811i
$428$	1.69713	+	0.299250i	0.0820339	+	0.0144648i
$429$	0.643117	+	0.113399i	0.0310500	+	0.00547495i
$430$	−1.65889	−	0.915958i	−0.0799989	−	0.0441714i
$431$	−5.07276	−	6.04548i	−0.244346	−	0.291201i	0.629907	−	0.776671i	$-0.283093\pi$
$431$	−5.07276	−	6.04548i	−0.244346	−	0.291201i	−0.874253	+	0.485470i	$0.838649\pi$
$432$	4.11748	+	11.3127i	0.198102	+	0.544282i
$433$	3.53581	+	2.04140i	0.169920	+	0.0981036i	0.582548	−	0.812796i	$-0.302056\pi$
$433$	3.53581	+	2.04140i	0.169920	+	0.0981036i	−0.412628	+	0.910900i	$0.635389\pi$
$434$	9.87088	+	17.0969i	0.473817	+	0.820676i
$435$	11.1018	+	1.73954i	0.532289	+	0.0834045i
$436$	1.68961	+	0.975496i	0.0809175	+	0.0467178i
$437$	−11.2158	+	1.97765i	−0.536525	+	0.0946038i
$438$	−4.95345			−0.236685
$439$	22.3347	−	3.93820i	1.06598	−	0.187960i	0.386969	−	0.922093i	$-0.373522\pi$
$439$	22.3347	−	3.93820i	1.06598	−	0.187960i	0.679006	+	0.734132i	$0.262411\pi$
$440$	4.72519	−	13.7970i	0.225265	−	0.657746i
$441$	3.31795	+	1.20763i	0.157997	+	0.0575064i
$442$	−0.392844	+	0.142984i	−0.0186857	+	0.00680104i
$443$			4.29550i			0.204085i	0.994780	+	0.102043i	$0.0325378\pi$
$443$			4.29550i			0.204085i	−0.994780	+	0.102043i	$0.967462\pi$
$444$	2.30835	−	1.82965i	0.109550	−	0.0868313i
$445$	−21.5851	−	35.7895i	−1.02323	−	1.69659i
$446$	0.505048	+	1.38761i	0.0239147	+	0.0657051i
$447$	13.6757	−	37.5736i	0.646837	−	1.77717i
$448$	−11.6850	−	13.9256i	−0.552064	−	0.657924i
$449$	13.3603	−	2.35578i	0.630512	−	0.111176i	0.150746	−	0.988573i	$-0.451832\pi$
$449$	13.3603	−	2.35578i	0.630512	−	0.111176i	0.479767	+	0.877396i	$0.340721\pi$
$450$	4.15565	−	7.87838i	0.195899	−	0.371390i
$451$	−1.64505	−	9.32957i	−0.0774626	−	0.439312i
$452$	−1.44471	+	2.50231i	−0.0679534	+	0.117699i
$453$	16.0197	−	19.0916i	0.752673	−	0.897001i
$454$	6.46866	+	11.2041i	0.303589	+	0.525832i
$455$	0.666305	−	0.0127323i	0.0312369	−	0.000596900i
$456$	−23.7043	+	8.62766i	−1.11006	+	0.404027i
$457$	18.4071	−	15.4454i	0.861047	−	0.722504i	−0.101147	−	0.994872i	$-0.532251\pi$
$457$	18.4071	−	15.4454i	0.861047	−	0.722504i	0.962193	+	0.272368i	$0.0878067\pi$
$458$	−9.97632	−	17.2795i	−0.466163	−	0.807418i
$459$	7.50732	+	1.32374i	0.350412	+	0.0617870i
$460$	0.522212	+	1.35371i	0.0243482	+	0.0631173i
$461$	−10.2581	+	12.2251i	−0.477766	+	0.569379i	−0.950062	−	0.312061i	$-0.898981\pi$
$461$	−10.2581	+	12.2251i	−0.477766	+	0.569379i	0.472296	+	0.881440i	$0.343425\pi$
$462$	−11.9486	−	4.34893i	−0.555899	−	0.202331i
$463$	29.4514	+	10.7194i	1.36872	+	0.498175i	0.918741	−	0.394862i	$-0.129207\pi$
$463$	29.4514	+	10.7194i	1.36872	+	0.498175i	0.449984	+	0.893037i	$0.351430\pi$
$464$	5.39776	−	6.43280i	0.250585	−	0.298635i
$465$	−11.9161	−	30.8898i	−0.552596	−	1.43248i
$466$	29.1043	+	5.13188i	1.34823	+	0.237730i
$467$	18.7962	+	32.5560i	0.869786	+	1.50651i	0.862215	+	0.506542i	$0.169076\pi$
$467$	18.7962	+	32.5560i	0.869786	+	1.50651i	0.00757047	+	0.999971i	$0.497590\pi$
$468$	−0.0340361	+	0.0285597i	−0.00157332	+	0.00132017i
$469$	−6.28551	+	2.28774i	−0.290238	+	0.105638i
$470$	−14.9720	+	0.286097i	−0.690607	+	0.0131967i
$471$	−0.0860116	−	0.148976i	−0.00396321	−	0.00686447i
$472$	25.7889	−	30.7340i	1.18703	−	1.41465i
$473$	0.700352	−	1.21305i	0.0322022	−	0.0557759i
$474$	7.56930	+	42.9276i	0.347669	+	1.97173i
$475$	−18.0425	−	9.51700i	−0.827849	−	0.436670i
$476$	−1.05421	+	0.185885i	−0.0483195	+	0.00852003i
$477$	10.4979	+	12.5109i	0.480667	+	0.572836i
$478$	2.52499	−	6.93734i	0.115490	−	0.317307i
$479$	−6.18829	−	17.0022i	−0.282750	−	0.776850i	−0.997032	−	0.0769916i	$-0.975469\pi$
$479$	−6.18829	−	17.0022i	−0.282750	−	0.776850i	0.714281	−	0.699859i	$-0.246754\pi$
$480$	3.14671	+	5.21745i	0.143627	+	0.238143i
$481$	0.739072	+	0.454661i	0.0336988	+	0.0207308i
$482$		−	19.1686i		−	0.873104i
$483$	11.4172	−	4.15553i	0.519502	−	0.189083i
$484$	−1.34797	−	0.490622i	−0.0612715	−	0.0223010i
$485$	6.93366	−	20.2455i	0.314841	−	0.919300i
$486$	−17.0316	+	3.00314i	−0.772571	+	0.136225i
$487$	−4.82913			−0.218829			−0.109414	−	0.993996i	$-0.534898\pi$
$487$	−4.82913			−0.218829			−0.109414	+	0.993996i	$0.534898\pi$
$488$	−31.5195	+	5.55774i	−1.42682	+	0.251587i
$489$	40.7468	+	23.5252i	1.84263	+	1.06384i
$490$	7.73933	+	1.21268i	0.349627	+	0.0547831i
$491$	−17.3191	−	29.9976i	−0.781601	−	1.35377i	−0.931009	−	0.364997i	$-0.881070\pi$
$491$	−17.3191	−	29.9976i	−0.781601	−	1.35377i	0.149408	−	0.988776i	$-0.452263\pi$
$492$	1.80795	+	1.04382i	0.0815087	+	0.0470591i
$493$	−1.81866	−	4.99673i	−0.0819084	−	0.225041i
$494$	−0.497356	−	0.592725i	−0.0223771	−	0.0266680i
$495$	5.76371	+	3.18243i	0.259060	+	0.143040i
$496$	−24.3656	−	4.29632i	−1.09405	−	0.192911i
$497$	−16.5576	−	2.91955i	−0.742710	−	0.130960i
$498$	−7.04914	−	5.91493i	−0.315880	−	0.265054i
$499$	−6.97162	+	19.1544i	−0.312092	+	0.857467i	0.680141	+	0.733081i	$0.261918\pi$
$499$	−6.97162	+	19.1544i	−0.312092	+	0.857467i	−0.992234	+	0.124386i	$0.960304\pi$
$500$	−0.747484	+	2.48899i	−0.0334285	+	0.111311i
$501$	−12.6602	+	15.0879i	−0.565618	+	0.674078i
$502$	−0.367476	−	0.0647959i	−0.0164013	−	0.00289198i
$503$	−1.09234	+	6.19494i	−0.0487048	+	0.276219i	−0.999428	−	0.0338227i	$-0.989232\pi$
$503$	−1.09234	+	6.19494i	−0.0487048	+	0.276219i	0.950723	+	0.310042i	$0.100343\pi$
$504$	7.19564	−	4.15441i	0.320519	−	0.185052i
$505$	1.32548	−	3.87025i	0.0589831	−	0.172224i
$506$	7.66364	−	2.78934i	0.340690	−	0.124001i
$507$	23.4172	+	13.5199i	1.04000	+	0.600442i
$508$	4.14911	−	2.39549i	0.184087	−	0.106283i
$509$	−20.1589	−	16.9153i	−0.893526	−	0.749757i	0.0753881	−	0.997154i	$-0.475980\pi$
$509$	−20.1589	−	16.9153i	−0.893526	−	0.749757i	−0.968914	+	0.247397i	$0.920425\pi$
$510$	−13.6490	+	0.260817i	−0.604389	+	0.0115492i
$511$	−0.648838	−	3.67974i	−0.0287029	−	0.162782i
$512$	25.2170			1.11444
$513$	2.45001	+	13.8947i	0.108171	+	0.613467i
$514$	6.52159	−	5.47227i	0.287655	−	0.241371i
$515$	−28.0873	+	5.50782i	−1.23767	+	0.242703i
$516$	0.105571	+	0.290053i	0.00464750	+	0.0127689i
$517$		−	11.0689i		−	0.486809i
$518$	−12.6347	−	11.2172i	−0.555138	−	0.492856i
$519$	−44.3104			−1.94501
$520$	−0.594589	+	0.736743i	−0.0260744	+	0.0323083i
$521$	−10.5656	−	3.84556i	−0.462887	−	0.168477i	0.100040	−	0.994983i	$-0.468103\pi$
$521$	−10.5656	−	3.84556i	−0.462887	−	0.168477i	−0.562928	+	0.826506i	$0.690325\pi$
$522$	2.76230	+	3.29198i	0.120903	+	0.144086i
$523$	3.96641	+	22.4946i	0.173439	+	0.983621i	0.939930	+	0.341367i	$0.110890\pi$
$523$	3.96641	+	22.4946i	0.173439	+	0.983621i	−0.766491	+	0.642255i	$0.777999\pi$
$524$			0.210074i			0.00917713i
$525$	20.7190	+	6.65635i	0.904251	+	0.290507i
$526$	−26.1976	−	15.1252i	−1.14227	−	0.659490i
$527$	−10.0704	+	12.0015i	−0.438674	+	0.522792i
$528$	13.8007	−	7.96786i	0.600600	−	0.346757i
$529$	7.60360	−	13.1698i	0.330591	−	0.572601i
$530$	28.1972	+	22.7565i	1.22481	+	0.988480i
$531$	11.6426	+	13.8751i	0.505247	+	0.602130i
$532$	−0.990625	−	1.71581i	−0.0429490	−	0.0743899i
$533$	−0.106794	+	0.605656i	−0.00462574	+	0.0262339i
$534$	8.98951	−	50.9820i	0.389014	−	2.20621i
$535$	−2.56628	+	16.3780i	−0.110950	+	0.708084i
$536$	3.25002	−	8.92937i	0.140380	−	0.385690i
$537$	−19.5617	−	7.11987i	−0.844149	−	0.307245i
$538$	12.7284	+	10.6804i	0.548761	+	0.460465i
$539$	−1.00551	+	5.70251i	−0.0433102	+	0.245624i
$540$	1.67705	−	0.646943i	0.0721688	−	0.0278400i
$541$	−0.0544889	+	0.0314592i	−0.00234266	+	0.00135254i	−0.501171	−	0.865348i	$-0.667097\pi$
$541$	−0.0544889	+	0.0314592i	−0.00234266	+	0.00135254i	0.498828	+	0.866701i	$0.333764\pi$
$542$	9.92620	−	8.32907i	0.426367	−	0.357764i
$543$	8.42277	+	23.1414i	0.361456	+	0.993092i
$544$	1.44157	−	2.49687i	0.0618068	−	0.107052i
$545$	−9.07181	+	16.4300i	−0.388594	+	0.703783i
$546$	0.632338	+	0.530595i	0.0270616	+	0.0227074i
$547$	−1.60317	+	2.77677i	−0.0685464	+	0.118726i	−0.898262	−	0.439461i	$-0.855169\pi$
$547$	−1.60317	+	2.77677i	−0.0685464	+	0.118726i	0.829715	+	0.558187i	$0.188503\pi$
$548$	0.594620	−	0.104847i	0.0254009	−	0.00447886i
$549$		−	14.4493i		−	0.616679i
$550$	13.9073	+	4.46797i	0.593009	+	0.190515i
$551$	7.53909	−	6.32605i	0.321176	−	0.269499i
$552$	−5.90347	+	16.2197i	−0.251268	+	0.690354i
$553$	−30.8979	+	11.2459i	−1.31391	+	0.478226i
$554$	−29.0476			−1.23411
$555$	18.0219	+	21.8655i	0.764985	+	0.928140i
$556$	−3.68601			−0.156322
$557$	14.1122	−	5.13642i	0.597953	−	0.217637i	−0.0252709	−	0.999681i	$-0.508045\pi$
$557$	14.1122	−	5.13642i	0.597953	−	0.217637i	0.623224	+	0.782044i	$0.285823\pi$
$558$	4.33048	−	11.8979i	0.183324	−	0.503678i
$559$	−0.0696570	+	0.0584492i	−0.00294618	+	0.00247214i
$560$	12.2558	−	10.6894i	0.517901	−	0.451709i
$561$		−	10.0908i		−	0.426034i
$562$	−26.5063	+	4.67378i	−1.11810	+	0.197151i
$563$	−16.9565	+	29.3696i	−0.714633	+	1.23778i	0.248468	+	0.968640i	$0.420073\pi$
$563$	−16.9565	+	29.3696i	−0.714633	+	1.23778i	−0.963101	+	0.269141i	$0.913260\pi$
$564$	1.86854	+	1.56789i	0.0786799	+	0.0660203i
$565$	−24.3328	−	13.4353i	−1.02369	−	0.565229i
$566$	16.7519	−	29.0152i	0.704136	−	1.21960i
$567$	−8.02049	−	22.0361i	−0.336829	−	0.925430i
$568$	18.2970	−	15.3530i	0.767726	−	0.644199i
$569$	−21.1609	+	12.2173i	−0.887111	+	0.512174i	−0.872997	−	0.487726i	$-0.837826\pi$
$569$	−21.1609	+	12.2173i	−0.887111	+	0.512174i	−0.0141148	+	0.999900i	$0.504493\pi$
$570$	−9.09370	−	23.5733i	−0.380893	−	0.987379i
$571$	−1.40560	+	7.97157i	−0.0588227	+	0.333600i	−0.999991	−	0.00433936i	$-0.998619\pi$
$571$	−1.40560	+	7.97157i	−0.0588227	+	0.333600i	0.941168	+	0.337939i	$0.109730\pi$
$572$	−0.0558175	−	0.0468365i	−0.00233385	−	0.00195833i
$573$	37.1016	+	13.5039i	1.54994	+	0.564132i
$574$	4.09561	−	11.2526i	0.170948	−	0.469675i
$575$	−12.9241	+	5.27144i	−0.538971	+	0.219834i
$576$	−2.02455	+	11.4818i	−0.0843564	+	0.478409i
$577$	2.34435	−	13.2954i	0.0975964	−	0.553497i	−0.896324	−	0.443399i	$-0.853772\pi$
$577$	2.34435	−	13.2954i	0.0975964	−	0.553497i	0.993921	−	0.110098i	$-0.0351164\pi$
$578$	−8.07078	−	13.9790i	−0.335700	−	0.581450i
$579$	−18.8591	−	22.4754i	−0.783757	−	0.934045i
$580$	−0.975709	−	0.787446i	−0.0405141	−	0.0326969i
$581$	3.47065	−	6.01134i	0.143987	−	0.249392i
$582$	22.9554	−	13.2533i	0.951533	−	0.549368i
$583$	−17.2161	+	20.5173i	−0.713017	+	0.849741i
$584$	4.59703	+	2.65410i	0.190226	+	0.109827i
$585$	−0.280943	−	0.322111i	−0.0116156	−	0.0133176i
$586$		−	10.5617i		−	0.436298i
$587$	−2.15400	−	12.2159i	−0.0889050	−	0.504205i	−0.996445	−	0.0842405i	$-0.973154\pi$
$587$	−2.15400	−	12.2159i	−0.0889050	−	0.504205i	0.907540	−	0.419965i	$-0.137958\pi$
$588$	−0.820215	−	0.977495i	−0.0338251	−	0.0403112i
$589$	−27.2478	−	9.91737i	−1.12272	−	0.408638i
$590$	31.2718	+	25.2379i	1.28744	+	1.03903i
$591$	29.5031			1.21360
$592$	20.9474	−	3.09364i	0.860932	−	0.127148i
$593$		−	7.59807i		−	0.312015i	−0.987756	−	0.156008i	$-0.950138\pi$
$593$		−	7.59807i		−	0.312015i	0.987756	−	0.156008i	$-0.0498624\pi$
$594$	−3.45557	−	9.49411i	−0.141784	−	0.389548i
$595$	−1.98160	−	10.1052i	−0.0812376	−	0.414274i
$596$	−3.41766	+	2.86776i	−0.139993	+	0.117468i
$597$	3.64122	+	20.6504i	0.149025	+	0.845164i
$598$	−0.529437			−0.0216503
$599$	−0.841380	−	4.77171i	−0.0343779	−	0.194967i	0.962782	−	0.270279i	$-0.0871158\pi$
$599$	−0.841380	−	4.77171i	−0.0343779	−	0.194967i	−0.997160	+	0.0753120i	$0.976005\pi$
$600$	−26.1637	+	16.4694i	−1.06813	+	0.672361i
$601$	1.41912	+	1.19078i	0.0578870	+	0.0485729i	0.671272	−	0.741211i	$-0.265748\pi$
$601$	1.41912	+	1.19078i	0.0578870	+	0.0485729i	−0.613385	+	0.789784i	$0.710193\pi$
$602$	1.53333	−	0.885266i	0.0624937	−	0.0360807i
$603$	3.71521	+	2.14498i	0.151295	+	0.0873502i
$604$	−2.61308	+	0.951082i	−0.106325	+	0.0386990i
$605$	4.47107	−	13.0550i	0.181775	−	0.530761i
$606$	4.38830	−	2.53358i	0.178262	−	0.102920i
$607$	0.330369	−	1.87362i	0.0134093	−	0.0760478i	−0.977369	−	0.211543i	$-0.932151\pi$
$607$	0.330369	−	1.87362i	0.0134093	−	0.0760478i	0.990778	+	0.135495i	$0.0432624\pi$
$608$	5.25511	+	0.926617i	0.213123	+	0.0375793i
$609$	−6.74883	+	8.04294i	−0.273476	+	0.325916i
$610$	−6.16891	−	31.4585i	−0.249772	−	1.27372i
$611$	−0.245765	+	0.675234i	−0.00994259	+	0.0273170i
$612$	0.525928	+	0.441306i	0.0212594	+	0.0178387i
$613$	−24.1651	−	4.26097i	−0.976021	−	0.172099i	−0.337182	−	0.941440i	$-0.609474\pi$
$613$	−24.1651	−	4.26097i	−0.976021	−	0.172099i	−0.638839	+	0.769341i	$0.720585\pi$
$614$	−21.6196	−	3.81211i	−0.872495	−	0.153844i
$615$	−9.70721	+	17.5808i	−0.391432	+	0.708924i
$616$	8.75865	+	10.4382i	0.352896	+	0.420565i
$617$	9.75554	+	26.8031i	0.392743	+	1.07905i	0.965744	+	0.259498i	$0.0835572\pi$
$617$	9.75554	+	26.8031i	0.392743	+	1.07905i	−0.573000	+	0.819555i	$0.694221\pi$
$618$	−30.7027	−	17.7262i	−1.23505	−	0.713054i
$619$	9.57288	+	16.5807i	0.384767	+	0.666435i	0.991737	−	0.128289i	$-0.0409486\pi$
$619$	9.57288	+	16.5807i	0.384767	+	0.666435i	−0.606970	+	0.794725i	$0.707615\pi$
$620$	−0.571863	+	3.64964i	−0.0229666	+	0.146573i
$621$	8.36071	+	4.82706i	0.335504	+	0.193703i
$622$	−28.8125	+	5.08042i	−1.15528	+	0.203706i
$623$	39.0503			1.56452
$624$	−1.01880	+	0.179641i	−0.0407845	+	0.00719141i
$625$	−24.0766	−	6.73187i	−0.963063	−	0.269275i
$626$	−6.49879	−	2.36537i	−0.259744	−	0.0945390i
$627$	17.5500	−	6.38766i	0.700878	−	0.255099i
$628$			0.0191940i			0.000765924i
$629$	4.93563	−	12.4667i	0.196797	−	0.497078i
$630$	4.29809	+	7.12650i	0.171240	+	0.283927i
$631$	5.02154	+	13.7966i	0.199905	+	0.549233i	0.998622	−	0.0524726i	$-0.0167102\pi$
$631$	5.02154	+	13.7966i	0.199905	+	0.549233i	−0.798718	+	0.601706i	$0.794488\pi$
$632$	15.9763	−	43.8945i	0.635503	−	1.74603i
$633$	−16.1484	−	19.2449i	−0.641842	−	0.764917i
$634$	7.06454	−	1.24567i	0.280569	−	0.0494718i
$635$	23.8024	+	39.4660i	0.944571	+	1.56616i
$636$	−1.02490	−	5.81251i	−0.0406400	−	0.230481i
$637$	0.187953	−	0.325544i	0.00744697	−	0.0128985i
$638$	−4.53004	+	5.39870i	−0.179346	+	0.213736i
$639$	5.39156	+	9.33846i	0.213287	+	0.369424i
$640$	0.382442	+	20.0139i	0.0151174	+	0.791119i
$641$	24.9108	−	9.06678i	0.983916	−	0.358116i	0.200555	−	0.979683i	$-0.435726\pi$
$641$	24.9108	−	9.06678i	0.983916	−	0.358116i	0.783361	+	0.621566i	$0.213503\pi$
$642$	−15.7299	+	13.1990i	−0.620810	+	0.520921i
$643$	6.64999	+	11.5181i	0.262250	+	0.454230i	0.966839	−	0.255385i	$-0.0822022\pi$
$643$	6.64999	+	11.5181i	0.262250	+	0.454230i	−0.704590	+	0.709615i	$0.748869\pi$
$644$	−1.33507	−	0.235409i	−0.0526092	−	0.00927643i
$645$	−2.77034	+	1.06869i	−0.109082	+	0.0420797i
$646$	−7.68518	+	9.15884i	−0.302369	+	0.360350i
$647$	−27.8545	−	10.1382i	−1.09507	−	0.398574i	−0.269576	−	0.962979i	$-0.586884\pi$
$647$	−27.8545	−	10.1382i	−1.09507	−	0.398574i	−0.825498	+	0.564405i	$0.809106\pi$
$648$	31.3051	+	11.3941i	1.22978	+	0.447604i
$649$	−19.0933	+	22.7545i	−0.749479	+	0.893194i
$650$	−0.749182	−	0.581346i	−0.0293853	−	0.0228023i
$651$	30.4644	+	5.37169i	1.19399	+	0.210533i
$652$	−2.62489	−	4.54644i	−0.102799	−	0.178052i
$653$	15.9960	−	13.4223i	0.625972	−	0.525253i	−0.273702	−	0.961815i	$-0.588248\pi$
$653$	15.9960	−	13.4223i	0.625972	−	0.525253i	0.899675	+	0.436561i	$0.143804\pi$
$654$	−21.8449	+	7.95088i	−0.854202	+	0.310904i
$655$	−2.02050	+	0.0386094i	−0.0789474	+	0.00150859i
$656$	7.50375	+	12.9969i	0.292972	+	0.507443i
$657$	−1.54039	+	1.83577i	−0.0600965	+	0.0716202i
$658$	6.99569	−	12.1169i	0.272721	−	0.472366i
$659$	−3.22331	−	18.2803i	−0.125562	−	0.712099i	−0.980972	−	0.194148i	$-0.937806\pi$
$659$	−3.22331	−	18.2803i	−0.125562	−	0.712099i	0.855410	−	0.517952i	$-0.173305\pi$
$660$	−1.22884	−	2.03749i	−0.0478325	−	0.0793093i
$661$	19.6481	−	3.46449i	0.764222	−	0.134753i	0.222067	−	0.975031i	$-0.428720\pi$
$661$	19.6481	−	3.46449i	0.764222	−	0.134753i	0.542155	+	0.840278i	$0.317608\pi$
$662$	−2.08503	−	2.48484i	−0.0810371	−	0.0965762i
$663$	−0.224048	+	0.615568i	−0.00870132	+	0.0239067i
$664$	3.37266	+	9.26631i	0.130885	+	0.359603i
$665$	16.3207	−	9.84320i	0.632888	−	0.381703i
$666$	−0.302358	+	10.8319i	−0.0117162	+	0.419726i
$667$		−	6.73409i		−	0.260745i
$668$	2.06509	−	0.751631i	0.0799007	−	0.0290815i
$669$	2.17431	+	0.791385i	0.0840638	+	0.0305967i
$670$	9.00442	+	3.08383i	0.347871	+	0.119139i
$671$	23.3361	−	4.11478i	0.900880	−	0.158849i
$672$	−5.69280			−0.219605
$673$	−5.18426	+	0.914124i	−0.199838	+	0.0352369i	−0.272671	−	0.962107i	$-0.587907\pi$
$673$	−5.18426	+	0.914124i	−0.199838	+	0.0352369i	0.0728329	+	0.997344i	$0.476796\pi$
$674$	20.4313	+	11.7960i	0.786984	+	0.454366i
$675$	6.53053	+	16.0110i	0.251360	+	0.616264i
$676$	−1.50853	−	2.61284i	−0.0580202	−	0.100494i
$677$	15.8923	+	9.17542i	0.610791	+	0.352640i	0.773275	−	0.634071i	$-0.218617\pi$
$677$	15.8923	+	9.17542i	0.610791	+	0.352640i	−0.162484	+	0.986711i	$0.551951\pi$
$678$	−11.7753	−	32.3522i	−0.452226	−	1.24248i
$679$	12.8523	+	15.3168i	0.493226	+	0.587804i
$680$	12.8067	+	7.07120i	0.491113	+	0.271168i
$681$	19.9642	+	3.52022i	0.765029	+	0.134895i
$682$	20.4487	+	3.60566i	0.783023	+	0.138068i
$683$	−1.67762	−	1.40769i	−0.0641922	−	0.0538636i	0.610127	−	0.792304i	$-0.291118\pi$
$683$	−1.67762	−	1.40769i	−0.0641922	−	0.0538636i	−0.674319	+	0.738440i	$0.735563\pi$
$684$	−0.434599	+	1.19405i	−0.0166173	+	0.0456557i
$685$	1.11771	+	5.69980i	0.0427055	+	0.217778i
$686$	−17.2027	+	20.5014i	−0.656803	+	0.782748i
$687$	−30.7898	−	5.42907i	−1.17470	−	0.207132i
$688$	−0.385314	+	2.18522i	−0.0146900	+	0.0833109i
$689$	1.50578	−	0.869363i	0.0573657	−	0.0331201i
$690$	−16.3560	−	5.60159i	−0.622662	−	0.213249i
$691$	21.0301	−	7.65434i	0.800023	−	0.291185i	0.0905272	−	0.995894i	$-0.471145\pi$
$691$	21.0301	−	7.65434i	0.800023	−	0.291185i	0.709496	+	0.704709i	$0.248923\pi$
$692$	4.28169	+	2.47203i	0.162765	+	0.0939726i
$693$	−5.32744	+	3.07580i	−0.202373	+	0.116840i
$694$	−12.0990	−	10.1523i	−0.459272	−	0.385375i
$695$	−0.677449	−	35.4521i	−0.0256971	−	1.34478i
$696$	−2.59007	−	14.6890i	−0.0981764	−	0.556786i
$697$	9.50302			0.359953
$698$	−6.48052	−	36.7529i	−0.245291	−	1.39112i
$699$	35.4744	−	29.7666i	1.34177	−	1.12587i
$700$	−1.63071	−	1.79909i	−0.0616351	−	0.0679992i
$701$	16.5034	+	45.3428i	0.623326	+	1.71257i	0.698695	+	0.715419i	$0.253764\pi$
$701$	16.5034	+	45.3428i	0.623326	+	1.71257i	−0.0753692	+	0.997156i	$0.524014\pi$
$702$			0.655893i			0.0247551i
$703$	24.8064	+	0.692441i	0.935592	+	0.0261159i
$704$	−19.1201			−0.720616
$705$	−14.7366	+	18.2599i	−0.555014	+	0.687706i
$706$	−27.0632	−	9.85019i	−1.01854	−	0.370717i
$707$	2.45692	+	2.92804i	0.0924020	+	0.110120i
$708$	−1.13666	−	6.44631i	−0.0427183	−	0.242267i
$709$			35.8242i			1.34540i	0.739913	+	0.672702i	$0.234867\pi$
$709$			35.8242i			1.34540i	−0.739913	+	0.672702i	$0.765133\pi$
$710$	15.7253	+	18.0296i	0.590159	+	0.676638i
$711$	18.2630	+	10.5442i	0.684917	+	0.395437i
$712$	−35.6592	+	42.4970i	−1.33639	+	1.59264i
$713$	−17.1826	+	9.92040i	−0.643495	+	0.371522i
$714$	6.37753	−	11.0462i	0.238673	−	0.413394i
$715$	0.440215	−	0.545462i	0.0164631	−	0.0203991i
$716$	1.49302	+	1.77931i	0.0557968	+	0.0664961i
$717$	−5.78406	−	10.0183i	−0.216010	−	0.374140i
$718$	−6.03460	+	34.2239i	−0.225209	+	1.27722i
$719$	−0.902323	+	5.11733i	−0.0336510	+	0.190844i	−0.996999	−	0.0774090i	$-0.975335\pi$
$719$	−0.902323	+	5.11733i	−0.0336510	+	0.190844i	0.963348	+	0.268253i	$0.0864464\pi$
$720$	−10.3043	−	1.61458i	−0.384017	−	0.0601717i
$721$	9.14653	−	25.1299i	0.340635	−	0.935886i
$722$	2.94304	+	1.07118i	0.109529	+	0.0398652i
$723$	−23.0090	−	19.3069i	−0.855716	−	0.718031i
$724$	0.477147	−	2.70603i	0.0177330	−	0.100569i
$725$	7.39435	−	9.52912i	0.274619	−	0.353902i
$726$	14.8025	−	8.54621i	0.549371	−	0.317180i
$727$	−12.8308	+	10.7663i	−0.475869	+	0.399302i	−0.848930	−	0.528505i	$-0.822753\pi$
$727$	−12.8308	+	10.7663i	−0.475869	+	0.399302i	0.373061	+	0.927807i	$0.378308\pi$
$728$	−0.302542	−	0.831228i	−0.0112130	−	0.0308074i
$729$	3.28685	−	5.69300i	0.121735	−	0.210852i
$730$	−2.56995	+	4.65444i	−0.0951180	+	0.172268i
$731$	1.07635	+	0.903162i	0.0398101	+	0.0334046i
$732$	−2.61091	+	4.52223i	−0.0965021	+	0.167147i
$733$	−21.3058	+	3.75680i	−0.786949	+	0.138760i	−0.552660	−	0.833407i	$-0.686387\pi$
$733$	−21.3058	+	3.75680i	−0.786949	+	0.138760i	−0.234289	+	0.972167i	$0.575276\pi$
$734$		−	15.0042i		−	0.553817i
$735$	9.25082	−	8.06850i	0.341222	−	0.297611i
$736$	2.79704	−	2.34699i	0.103100	−	0.0865113i
$737$	−2.40622	+	6.61104i	−0.0886343	+	0.243521i
$738$	−7.21691	+	2.62674i	−0.265658	+	0.0966917i
$739$	1.79050			0.0658646			0.0329323	−	0.999458i	$-0.489515\pi$
$739$	1.79050			0.0658646			0.0329323	+	0.999458i	$0.489515\pi$
$740$	−0.521584	−	3.11827i	−0.0191738	−	0.114630i
$741$	−1.21243			−0.0445395
$742$	−31.8134	+	11.5791i	−1.16791	+	0.425083i
$743$	−11.8038	+	32.4307i	−0.433040	+	1.18977i	0.510897	+	0.859642i	$0.329313\pi$
$743$	−11.8038	+	32.4307i	−0.433040	+	1.18977i	−0.943937	+	0.330126i	$0.892909\pi$
$744$	−33.6648	+	28.2481i	−1.23421	+	1.03563i
$745$	−28.2103	−	32.3441i	−1.03355	−	1.18500i
$746$		−	14.5236i		−	0.531746i
$747$	−4.38420	+	0.773053i	−0.160410	+	0.0282845i
$748$	−0.562955	+	0.975066i	−0.0205837	+	0.0356520i
$749$	−11.8655	−	9.95630i	−0.433554	−	0.363795i
$750$	−16.9938	−	25.8862i	−0.620526	−	0.945230i
$751$	−5.48231	+	9.49563i	−0.200052	+	0.346501i	−0.948545	−	0.316642i	$-0.897444\pi$
$751$	−5.48231	+	9.49563i	−0.200052	+	0.346501i	0.748493	+	0.663143i	$0.230778\pi$
$752$	5.99727	+	16.4774i	0.218698	+	0.600867i
$753$	−0.447906	+	0.375838i	−0.0163226	+	0.0136963i
$754$	0.396214	−	0.228754i	0.0144293	−	0.00833075i
$755$	−9.62778	−	24.9578i	−0.350391	−	0.908308i
$756$	−0.291637	+	1.65396i	−0.0106067	+	0.0601538i
$757$	−23.6190	−	19.8187i	−0.858447	−	0.720323i	0.103186	−	0.994662i	$-0.467096\pi$
$757$	−23.6190	−	19.8187i	−0.858447	−	0.720323i	−0.961633	+	0.274339i	$0.911541\pi$
$758$	31.6484	+	11.5191i	1.14952	+	0.418391i
$759$	4.37075	−	12.0085i	0.158648	−	0.435883i
$760$	−4.19140	+	26.7496i	−0.152038	+	0.970311i
$761$	2.55661	−	14.4993i	0.0926772	−	0.525598i	−0.902757	−	0.430150i	$-0.858461\pi$
$761$	2.55661	−	14.4993i	0.0926772	−	0.525598i	0.995434	−	0.0954479i	$-0.0304283\pi$
$762$	−9.91295	+	56.2191i	−0.359108	+	2.03660i
$763$	−8.76783	−	15.1863i	−0.317417	−	0.549782i
$764$	−2.83173	−	3.37473i	−0.102448	−	0.122093i
$765$	−4.14783	+	5.13950i	−0.149965	+	0.185819i
$766$	−11.4320	+	19.8008i	−0.413054	+	0.715431i
$767$	1.66997	−	0.964160i	0.0602992	−	0.0348138i
$768$	7.36553	−	8.77789i	0.265781	−	0.316745i
$769$	23.3973	+	13.5084i	0.843728	+	0.487127i	0.858530	−	0.512764i	$-0.171378\pi$
$769$	23.3973	+	13.5084i	0.843728	+	0.487127i	−0.0148015	+	0.999890i	$0.504712\pi$
$770$	−10.2856	+	8.97102i	−0.370667	+	0.323293i
$771$		−	13.3400i		−	0.480428i
$772$	0.568462	+	3.22391i	0.0204594	+	0.116031i
$773$	13.7563	+	16.3941i	0.494778	+	0.589654i	0.954426	−	0.298447i	$-0.0964688\pi$
$773$	13.7563	+	16.3941i	0.494778	+	0.589654i	−0.459648	+	0.888101i	$0.652024\pi$
$774$	−1.06706	−	0.388377i	−0.0383546	−	0.0139599i
$775$	−35.2075	−	4.82943i	−1.26469	−	0.173478i
$776$	−28.4049			−1.01968
$777$	−26.1905	+	3.86798i	−0.939579	+	0.138763i
$778$			20.7191i			0.742814i
$779$	6.01559	+	16.5277i	0.215531	+	0.592166i
$780$	0.0297238	+	0.151577i	0.00106428	+	0.00542733i
$781$	−13.5466	+	11.3669i	−0.484734	+	0.406740i
$782$	1.42060	+	8.05661i	0.0508005	+	0.288104i
$783$	−8.34254			−0.298138
$784$	−1.59288	−	9.03367i	−0.0568885	−	0.322631i
$785$	−0.184608	+	0.00352765i	−0.00658895	+	0.000125907i
$786$	−1.91750	−	1.60897i	−0.0683949	−	0.0573901i
$787$	9.63758	−	5.56426i	0.343543	−	0.198344i	−0.318295	−	0.947992i	$-0.603110\pi$
$787$	9.63758	−	5.56426i	0.343543	−	0.198344i	0.661838	+	0.749647i	$0.269777\pi$
$788$	−2.85087	−	1.64595i	−0.101558	−	0.0586345i
$789$	−44.5423	+	16.2121i	−1.58575	+	0.577165i
$790$	44.2634	+	15.1593i	1.57482	+	0.539344i
$791$	22.4909	−	12.9852i	0.799686	−	0.461699i
$792$	1.51753	−	8.60636i	0.0539232	−	0.305814i
$793$	−1.51493	−	0.267123i	−0.0537968	−	0.00948582i
$794$	1.88032	−	2.24088i	0.0667300	−	0.0795257i
$795$	55.7165	−	10.9258i	1.97606	−	0.387499i
$796$	0.800215	−	2.19857i	0.0283629	−	0.0779263i
$797$	17.0974	+	14.3465i	0.605622	+	0.508177i	0.893247	−	0.449566i	$-0.148421\pi$
$797$	17.0974	+	14.3465i	0.605622	+	0.508177i	−0.287625	+	0.957743i	$0.592866\pi$
$798$	23.2487	+	4.09938i	0.822995	+	0.145116i
$799$	10.9347	+	1.92808i	0.386842	+	0.0682106i
$800$	6.53508	−	0.249847i	0.231050	−	0.00883341i
$801$	−16.0987	−	19.1856i	−0.568818	−	0.677891i
$802$	−9.69036	−	26.6240i	−0.342178	−	0.940127i
$803$	−3.40350	−	1.96501i	−0.120107	−	0.0693438i
$804$	−0.775175	−	1.34264i	−0.0273383	−	0.0473513i
$805$	2.01880	−	12.8840i	0.0711534	−	0.454102i
$806$	−1.16737	−	0.673984i	−0.0411190	−	0.0237401i
$807$	25.6405	−	4.52112i	0.902590	−	0.159151i
$808$	−5.43005			−0.191029
$809$	−45.1641	+	7.96366i	−1.58789	+	0.279987i	−0.896683	−	0.442673i	$-0.854030\pi$
$809$	−45.1641	+	7.96366i	−1.58789	+	0.279987i	−0.691203	+	0.722660i	$0.742919\pi$
$810$	−10.8115	+	31.5682i	−0.379877	+	1.10920i
$811$	19.3106	+	7.02847i	0.678086	+	0.246803i	0.658025	−	0.752996i	$-0.271392\pi$
$811$	19.3106	+	7.02847i	0.678086	+	0.246803i	0.0200603	+	0.999799i	$0.493614\pi$
$812$	1.10084	−	0.400674i	0.0386320	−	0.0140609i
$813$		−	20.3041i		−	0.712097i
$814$	−17.5800	+	2.59632i	−0.616177	+	0.0910009i
$815$	43.2453	−	26.0818i	1.51482	−	0.913606i
$816$	5.46733	+	15.0214i	0.191395	+	0.525853i
$817$	−0.889436	+	2.44370i	−0.0311174	+	0.0854944i
$818$	11.6314	+	13.8617i	0.406681	+	0.484664i
$819$	0.393282	−	0.0693462i	0.0137424	−	0.00242315i
$820$	1.91881	−	1.15726i	0.0670078	−	0.0404133i
$821$	7.67867	+	43.5479i	0.267987	+	1.51983i	0.760392	+	0.649465i	$0.225007\pi$
$821$	7.67867	+	43.5479i	0.267987	+	1.51983i	−0.492404	+	0.870367i	$0.663882\pi$
$822$	−3.59721	+	6.23056i	−0.125467	+	0.217316i
$823$	−8.50996	+	10.1418i	−0.296639	+	0.353520i	−0.893692	−	0.448682i	$-0.851894\pi$
$823$	−8.50996	+	10.1418i	−0.296639	+	0.353520i	0.597053	+	0.802202i	$0.296338\pi$
$824$	18.9957	+	32.9015i	0.661747	+	1.14618i
$825$	19.3708	−	12.1935i	0.674405	−	0.424522i
$826$	−35.2823	+	12.8417i	−1.22763	+	0.446821i
$827$	−41.4837	+	34.8089i	−1.44253	+	1.21042i	−0.504714	+	0.863287i	$0.668402\pi$
$827$	−41.4837	+	34.8089i	−1.44253	+	1.21042i	−0.937814	+	0.347138i	$0.887153\pi$
$828$	0.434732	+	0.752978i	0.0151080	+	0.0261678i
$829$	47.4160	+	8.36072i	1.64683	+	0.290380i	0.918668	−	0.395031i	$-0.129266\pi$
$829$	47.4160	+	8.36072i	1.64683	+	0.290380i	0.728157	+	0.685410i	$0.240377\pi$
$830$	−9.21512	+	3.55484i	−0.319861	+	0.123390i
$831$	−29.2572	+	34.8674i	−1.01492	+	1.20954i
$832$	1.16638	+	0.424528i	0.0404370	+	0.0147179i
$833$	−5.45823	−	1.98663i	−0.189117	−	0.0688328i
$834$	28.2314	−	33.6449i	0.977573	−	1.16503i
$835$	7.60874	+	19.7239i	0.263311	+	0.682575i
$836$	−2.05220	−	0.361858i	−0.0709768	−	0.0125151i
$837$	12.2899	+	21.2867i	0.424801	+	0.735777i
$838$	17.4152	−	14.6131i	0.601597	−	0.504800i
$839$	44.9348	−	16.3549i	1.55132	−	0.564635i	0.582595	−	0.812762i	$-0.302037\pi$
$839$	44.9348	−	16.3549i	1.55132	−	0.564635i	0.968728	+	0.248127i	$0.0798150\pi$
$840$	−0.551869	−	28.8803i	−0.0190413	−	0.996464i
$841$	−11.5904	−	20.0751i	−0.399669	−	0.692246i
$842$	8.47933	−	10.1053i	0.292217	−	0.348251i
$843$	−21.0874	+	36.5245i	−0.726289	+	1.25797i
$844$	0.486755	+	2.76053i	0.0167548	+	0.0950212i
$845$	24.8531	−	14.9893i	0.854974	−	0.515646i
$846$	−8.83712	+	1.55822i	−0.303826	+	0.0535728i
$847$	8.28761	+	9.87679i	0.284766	+	0.339371i
$848$	14.5116	−	39.8704i	0.498332	−	1.36915i
$849$	−17.9557	−	49.3328i	−0.616237	−	1.69310i
$850$	−6.83631	+	12.9604i	−0.234484	+	0.444539i
$851$	11.2735	−	12.6981i	0.386450	−	0.435286i
$852$		−	3.89692i		−	0.133506i
$853$	38.5181	−	14.0194i	1.31883	−	0.480016i	0.415749	−	0.909479i	$-0.363520\pi$
$853$	38.5181	−	14.0194i	1.31883	−	0.480016i	0.903084	+	0.429464i	$0.141297\pi$
$854$	28.1462	+	10.2444i	0.963143	+	0.350555i
$855$	−11.5643	−	3.96053i	−0.395490	−	0.135447i
$856$	21.6702	−	3.82104i	0.740672	−	0.130600i
$857$	−25.8675			−0.883618			−0.441809	−	0.897109i	$-0.645663\pi$
$857$	−25.8675			−0.883618			−0.441809	+	0.897109i	$0.645663\pi$
$858$	0.855020	−	0.150763i	0.0291899	−	0.00514697i
$859$	22.6747	+	13.0913i	0.773652	+	0.446668i	0.834176	−	0.551499i	$-0.185944\pi$
$859$	22.6747	+	13.0913i	0.773652	+	0.446668i	−0.0605241	+	0.998167i	$0.519277\pi$
$860$	0.327317	+	0.0512873i	0.0111614	+	0.00174888i
$861$	−9.38194	−	16.2500i	−0.319736	−	0.553798i
$862$	−9.08645	−	5.24606i	−0.309486	−	0.178682i
$863$	−0.623881	−	1.71410i	−0.0212371	−	0.0583486i	0.928621	−	0.371030i	$-0.120995\pi$
$863$	−0.623881	−	1.71410i	−0.0212371	−	0.0583486i	−0.949858	+	0.312681i	$0.898773\pi$
$864$	−2.90758	−	3.46511i	−0.0989178	−	0.117886i
$865$	−22.9891	+	41.6357i	−0.781654	+	1.41566i
$866$	5.34560	+	0.942574i	0.181651	+	0.0320300i
$867$	−24.9088	−	4.39209i	−0.845946	−	0.149163i
$868$	−2.64407	−	2.21864i	−0.0897456	−	0.0753055i
$869$	−11.8284	+	32.4982i	−0.401250	+	1.10242i
$870$	14.6606	−	2.87490i	0.497041	−	0.0974681i
$871$	0.293573	−	0.349867i	0.00994734	−	0.0118548i
$872$	24.5332	+	4.32586i	0.830799	+	0.146492i
$873$	2.22680	−	12.6288i	0.0753658	−	0.427421i
$874$	−13.1128	+	7.57069i	−0.443548	+	0.256083i
$875$	17.0040	−	16.0149i	0.574839	−	0.541401i
$876$	0.813817	−	0.296205i	0.0274963	−	0.0100078i
$877$	48.9945	+	28.2870i	1.65443	+	0.955184i	0.975220	+	0.221239i	$0.0710100\pi$
$877$	48.9945	+	28.2870i	1.65443	+	0.955184i	0.679208	+	0.733946i	$0.262323\pi$
$878$	26.1123	−	15.0759i	0.881248	−	0.508789i
$879$	−12.6777	−	10.6379i	−0.427609	−	0.358807i
$880$	−0.326791	−	17.1016i	−0.0110161	−	0.576493i
$881$	−7.41720	−	42.0650i	−0.249892	−	1.41721i	−0.808852	−	0.588013i	$-0.799911\pi$
$881$	−7.41720	−	42.0650i	−0.249892	−	1.41721i	0.558960	−	0.829195i	$-0.311201\pi$
$882$	4.69429			0.158065
$883$	−4.36976	−	24.7822i	−0.147054	−	0.833986i	−0.965695	−	0.259680i	$-0.916383\pi$
$883$	−4.36976	−	24.7822i	−0.147054	−	0.833986i	0.818641	−	0.574306i	$-0.194728\pi$
$884$	0.0559915	−	0.0469825i	0.00188320	−	0.00158019i
$885$	61.7919	−	12.1172i	2.07711	−	0.407314i
$886$	1.95322	+	5.36643i	0.0656198	+	0.180289i
$887$		−	39.2137i		−	1.31667i	−0.752727	−	0.658333i	$-0.771262\pi$
$887$		−	39.2137i		−	1.31667i	0.752727	−	0.658333i	$-0.228738\pi$
$888$	19.7068	−	32.0343i	0.661317	−	1.07500i
$889$	−43.0617			−1.44424
$890$	−43.2406	−	34.8974i	−1.44943	−	1.16976i
$891$	−23.1774	−	8.43587i	−0.776471	−	0.282612i
$892$	−0.165952	−	0.197774i	−0.00555648	−	0.00662195i
$893$	3.56854	+	20.2382i	0.119417	+	0.677245i
$894$		−	53.1598i		−	1.77793i
$895$	−16.8391	+	14.6869i	−0.562868	+	0.490930i
$896$	−16.1973	−	9.35153i	−0.541115	−	0.312413i
$897$	−0.533257	+	0.635511i	−0.0178049	+	0.0212191i
$898$	15.6201	−	9.01824i	0.521248	−	0.300943i
$899$	8.57265	−	14.8483i	0.285914	−	0.495217i
$900$	−0.211635	+	1.54286i	−0.00705451	+	0.0514287i
$901$	−17.2697	−	20.5813i	−0.575339	−	0.685662i
$902$	−6.29748	−	10.9076i	−0.209683	−	0.363182i
$903$	0.481758	−	2.73219i	0.0160319	−	0.0909215i
$904$	−6.40660	+	36.3336i	−0.213080	+	1.20844i
$905$	26.1144	+	4.09187i	0.868071	+	0.136018i
$906$	11.3325	−	31.1358i	0.376497	−	1.03442i
$907$	−38.8394	−	14.1364i	−1.28964	−	0.469391i	−0.396031	−	0.918237i	$-0.629613\pi$
$907$	−38.8394	−	14.1364i	−1.28964	−	0.469391i	−0.893609	+	0.448847i	$0.851835\pi$
$908$	−1.73273	−	1.45394i	−0.0575028	−	0.0482506i
$909$	0.425689	−	2.41420i	0.0141192	−	0.0800740i
$910$	0.826636	−	0.318885i	0.0274027	−	0.0105709i
$911$	−37.9514	+	21.9112i	−1.25739	+	0.725952i	−0.972565	−	0.232629i	$-0.925267\pi$
$911$	−37.9514	+	21.9112i	−1.25739	+	0.725952i	−0.284820	+	0.958581i	$0.591934\pi$
$912$	−22.6643	+	19.0176i	−0.750490	+	0.629736i
$913$	−2.49702	−	6.86050i	−0.0826392	−	0.227049i
$914$	15.9730	−	27.6661i	0.528341	−	0.915113i
$915$	−43.9748	−	24.2807i	−1.45376	−	0.802695i
$916$	2.67232	+	2.24234i	0.0882958	+	0.0740890i
$917$	0.944081	−	1.63520i	0.0311763	−	0.0539990i
$918$	9.98094	−	1.75991i	0.329420	−	0.0580857i
$919$			6.58051i			0.217071i	0.994093	+	0.108535i	$0.0346161\pi$
$919$			6.58051i			0.217071i	−0.994093	+	0.108535i	$0.965384\pi$
$920$	12.1777	+	13.9622i	0.401488	+	0.460320i
$921$	−26.3515	+	22.1115i	−0.868311	+	0.728599i
$922$	−7.25665	+	19.9375i	−0.238985	+	0.656606i
$923$	1.07876	−	0.392638i	0.0355079	−	0.0129238i
$924$	2.22313			0.0731355
$925$	29.8957	−	5.58971i	0.982966	−	0.183789i
$926$	41.6684			1.36931
$927$	−16.1172	+	5.86617i	−0.529358	+	0.192670i
$928$	−1.07915	+	2.96494i	−0.0354248	+	0.0973289i
$929$	−29.3245	+	24.6062i	−0.962106	+	0.807303i	−0.981294	−	0.192513i	$-0.938336\pi$
$929$	−29.3245	+	24.6062i	−0.962106	+	0.807303i	0.0191883	+	0.999816i	$0.493892\pi$
$930$	−28.9330	−	33.1727i	−0.948750	−	1.08777i
$931$		−	10.7506i		−	0.352335i
$932$	−5.08851	+	0.897242i	−0.166680	+	0.0293901i
$933$	−22.9221	+	39.7023i	−0.750436	+	1.29979i
$934$	38.2861	+	32.1259i	1.25276	+	1.05119i
$935$	−9.48167	−	5.23531i	−0.310084	−	0.171213i
$936$	−0.283663	+	0.491319i	−0.00927182	+	0.0160593i
$937$	−9.64352	−	26.4954i	−0.315040	−	0.865565i	−0.991619	−	0.129195i	$-0.958761\pi$
$937$	−9.64352	−	26.4954i	−0.315040	−	0.865565i	0.676579	−	0.736370i	$-0.263462\pi$
$938$	−6.81232	+	5.71621i	−0.222430	+	0.186641i
$939$	−9.38496	+	5.41841i	−0.306267	+	0.176823i
$940$	2.44269	−	0.942296i	0.0796717	−	0.0307343i
$941$	4.01276	−	22.7575i	0.130812	−	0.741873i	−0.846873	−	0.531796i	$-0.821517\pi$
$941$	4.01276	−	22.7575i	0.130812	−	0.741873i	0.977685	−	0.210077i	$-0.0673715\pi$
$942$	−0.175197	−	0.147008i	−0.00570824	−	0.00478978i
$943$	11.3091	+	4.11616i	0.368274	+	0.134041i
$944$	16.0940	−	44.2179i	0.523815	−	1.43917i
$945$	−15.9614	−	2.50099i	−0.519224	−	0.0813573i
$946$	0.323373	−	1.83394i	0.0105137	−	0.0596264i
$947$	6.28019	−	35.6167i	0.204079	−	1.15739i	−0.694804	−	0.719199i	$-0.744509\pi$
$947$	6.28019	−	35.6167i	0.204079	−	1.15739i	0.898883	−	0.438189i	$-0.144380\pi$
$948$	−3.81056	−	6.60008i	−0.123761	−	0.214361i
$949$	0.163994	+	0.195440i	0.00532346	+	0.00634426i
$950$	−26.8684	−	3.68555i	−0.871725	−	0.119575i
$951$	5.62028	−	9.73460i	0.182250	−	0.315666i
$952$	−11.8373	+	6.83426i	−0.383649	+	0.221500i
$953$	2.13889	−	2.54903i	0.0692855	−	0.0825712i	−0.730288	−	0.683139i	$-0.760614\pi$
$953$	2.13889	−	2.54903i	0.0692855	−	0.0825712i	0.799574	+	0.600568i	$0.205059\pi$
$954$	18.8041	+	10.8566i	0.608806	+	0.351494i
$955$	31.9377	−	27.8559i	1.03348	−	0.901395i
$956$			1.29075i			0.0417457i
$957$	1.91761	+	10.8753i	0.0619875	+	0.351549i
$958$	−15.4623	−	18.4272i	−0.499563	−	0.595356i
$959$	−5.09965	−	1.85612i	−0.164676	−	0.0599373i
$960$	31.5416	+	25.4557i	1.01800	+	0.821578i
$961$	−19.5156			−0.629534
$962$	1.13008	+	0.231949i	0.0364351	+	0.00747834i
$963$			9.93411i			0.320122i
$964$	1.14624	+	3.14926i	0.0369178	+	0.101431i
$965$	−30.9032	+	6.06000i	−0.994808	+	0.195078i
$966$	12.3742	−	10.3832i	0.398132	−	0.334072i
$967$	1.53018	+	8.67808i	0.0492073	+	0.279068i	0.999476	−	0.0323622i	$-0.0103030\pi$
$967$	1.53018	+	8.67808i	0.0492073	+	0.279068i	−0.950269	+	0.311430i	$0.899192\pi$
$968$	−18.3165			−0.588715
$969$	3.25321	+	18.4499i	0.104508	+	0.592695i
$970$	−0.543567	−	28.4458i	−0.0174529	−	0.913341i
$971$	19.8224	+	16.6330i	0.636132	+	0.533778i	0.902828	−	0.430003i	$-0.141487\pi$
$971$	19.8224	+	16.6330i	0.636132	+	0.533778i	−0.266695	+	0.963781i	$0.585932\pi$
$972$	2.61860	−	1.51185i	0.0839916	−	0.0484926i
$973$	28.6915	+	16.5651i	0.919809	+	0.531052i
$974$	−6.03311	+	2.19587i	−0.193313	+	0.0703603i
$975$	−1.45241	+	0.313742i	−0.0465143	+	0.0100478i
$976$	−32.5091	+	18.7692i	−1.04059	+	0.600786i
$977$	−5.01628	+	28.4487i	−0.160485	+	0.910156i	0.793113	+	0.609074i	$0.208459\pi$
$977$	−5.01628	+	28.4487i	−0.160485	+	0.910156i	−0.953598	+	0.301082i	$0.902652\pi$
$978$	61.6028	+	10.8622i	1.96984	+	0.347336i
$979$	26.4010	−	31.4635i	0.843780	−	1.00558i
$980$	−1.34403	+	0.263560i	−0.0429336	+	0.00841912i
$981$	−3.84656	+	10.5683i	−0.122811	+	0.337421i
$982$	−35.2774	−	29.6012i	−1.12575	−	0.944613i
$983$	20.8800	+	3.68171i	0.665969	+	0.117428i	0.496405	−	0.868091i	$-0.334653\pi$
$983$	20.8800	+	3.68171i	0.665969	+	0.117428i	0.169564	+	0.985519i	$0.445764\pi$
$984$	26.2515	+	4.62885i	0.836868	+	0.147562i
$985$	15.3068	−	27.7222i	0.487715	−	0.883303i
$986$	−4.54416	−	5.41552i	−0.144716	−	0.172465i
$987$	−7.49839	−	20.6016i	−0.238676	−	0.655758i
$988$	0.117156	+	0.0676399i	0.00372722	+	0.00215191i
$989$	0.889707	+	1.54102i	0.0282910	+	0.0490015i
$990$	8.64780	+	1.35502i	0.274845	+	0.0430655i
$991$	−32.8374	−	18.9587i	−1.04311	−	0.602242i	−0.122401	−	0.992481i	$-0.539059\pi$
$991$	−32.8374	−	18.9587i	−1.04311	−	0.602242i	−0.920714	+	0.390238i	$0.872393\pi$
$992$	9.15507	−	1.61429i	0.290674	−	0.0512536i
$993$	−5.08277			−0.161297
$994$	−22.0132	+	3.88153i	−0.698218	+	0.123115i
$995$	21.2930	+	7.29241i	0.675033	+	0.231185i
$996$	1.51183	+	0.550259i	0.0479040	+	0.0174356i
$997$	−9.80869	+	3.57007i	−0.310644	+	0.113065i	−0.492638	−	0.870234i	$-0.663967\pi$
$997$	−9.80869	+	3.57007i	−0.310644	+	0.113065i	0.181993	+	0.983300i	$0.441745\pi$
$998$			27.0999i			0.857834i
$999$	−15.7311	−	13.9662i	−0.497709	−	0.441870i

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.104.12	yes	96
5.2	odd	4		925.2.bb.e.326.12		96
5.3	odd	4		925.2.bb.e.326.5		96
5.4	even	2	inner	185.2.v.a.104.5	✓	96
37.21	even	18	inner	185.2.v.a.169.5	yes	96
185.58	odd	36		925.2.bb.e.576.5		96
185.132	odd	36		925.2.bb.e.576.12		96
185.169	even	18	inner	185.2.v.a.169.12	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.v.a.104.5	✓	96	5.4	even	2	inner
185.2.v.a.104.12	yes	96	1.1	even	1	trivial
185.2.v.a.169.5	yes	96	37.21	even	18	inner
185.2.v.a.169.12	yes	96	185.169	even	18	inner
925.2.bb.e.326.5		96	5.3	odd	4
925.2.bb.e.326.12		96	5.2	odd	4
925.2.bb.e.576.5		96	185.58	odd	36
925.2.bb.e.576.12		96	185.132	odd	36

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Elliptic curves over $\Q$
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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.104.12

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