LMFDB - Embedded newform 483.2.bb.a.26.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			26.5
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.954248 + 2.38360i) q^{2} +(0.773902 - 1.54954i) q^{3} +(-3.32348 - 3.16893i) q^{4} +(-0.808015 - 2.33461i) q^{5} +(2.95498 + 3.32332i) q^{6} +(-2.64462 - 0.0772305i) q^{7} +(6.05389 - 2.76472i) q^{8} +(-1.80215 - 2.39839i) q^{9} +O(q^{10})$	\(q+(-0.954248 + 2.38360i) q^{2} +(0.773902 - 1.54954i) q^{3} +(-3.32348 - 3.16893i) q^{4} +(-0.808015 - 2.33461i) q^{5} +(2.95498 + 3.32332i) q^{6} +(-2.64462 - 0.0772305i) q^{7} +(6.05389 - 2.76472i) q^{8} +(-1.80215 - 2.39839i) q^{9} +(6.33581 + 0.301812i) q^{10} +(1.79858 + 4.49264i) q^{11} +(-7.48243 + 2.69742i) q^{12} +(-3.61466 + 5.62453i) q^{13} +(2.70771 - 6.23002i) q^{14} +(-4.24289 - 0.554705i) q^{15} +(0.376057 + 7.89441i) q^{16} +(0.394175 + 1.62481i) q^{17} +(7.43648 - 2.00694i) q^{18} +(-0.609834 - 0.147944i) q^{19} +(-4.71278 + 10.3195i) q^{20} +(-2.16635 + 4.03818i) q^{21} -12.4249 q^{22} +(1.11768 + 4.66377i) q^{23} +(0.401076 - 11.5204i) q^{24} +(-0.867229 + 0.681996i) q^{25} +(-9.95732 - 13.9831i) q^{26} +(-5.11108 + 0.936388i) q^{27} +(8.54461 + 8.63730i) q^{28} +(-0.708873 + 2.41420i) q^{29} +(5.37096 - 9.58401i) q^{30} +(-7.49554 - 5.33755i) q^{31} +(-6.59738 - 2.28338i) q^{32} +(8.35345 + 0.689890i) q^{33} +(-4.24904 - 0.610919i) q^{34} +(1.95659 + 6.23656i) q^{35} +(-1.61091 + 13.6819i) q^{36} +(-2.35409 + 0.453713i) q^{37} +(0.934572 - 1.31242i) q^{38} +(5.91803 + 9.95390i) q^{39} +(-11.3462 - 11.8995i) q^{40} +(-4.39409 + 5.07105i) q^{41} +(-7.55816 - 9.01714i) q^{42} +(0.278113 - 0.608982i) q^{43} +(8.25931 - 20.6308i) q^{44} +(-4.14312 + 6.14524i) q^{45} +(-12.1831 - 1.78630i) q^{46} +(-2.17979 + 3.77550i) q^{47} +(12.5237 + 5.52679i) q^{48} +(6.98807 + 0.408491i) q^{49} +(-0.798053 - 2.71792i) q^{50} +(2.82276 + 0.646655i) q^{51} +(29.8370 - 7.23837i) q^{52} +(1.29404 - 2.51008i) q^{53} +(2.64527 - 13.0763i) q^{54} +(9.03526 - 7.82910i) q^{55} +(-16.2238 + 6.84409i) q^{56} +(-0.701197 + 0.830468i) q^{57} +(-5.07804 - 3.99341i) q^{58} +(0.410836 - 8.62450i) q^{59} +(12.3433 + 15.2890i) q^{60} +(0.337259 - 3.53193i) q^{61} +(19.8752 - 12.7730i) q^{62} +(4.58078 + 6.48201i) q^{63} +(1.38699 - 1.60067i) q^{64} +(16.0517 + 3.89411i) q^{65} +(-9.61569 + 19.2529i) q^{66} +(-2.83475 + 2.22927i) q^{67} +(3.83888 - 6.64913i) q^{68} +(8.09168 + 1.87741i) q^{69} +(-16.7325 - 1.28750i) q^{70} +(2.55821 - 0.367815i) q^{71} +(-17.5409 - 9.53712i) q^{72} +(5.04022 - 5.28603i) q^{73} +(1.16491 - 6.04415i) q^{74} +(0.385630 + 1.87160i) q^{75} +(1.55794 + 2.42421i) q^{76} +(-4.40960 - 12.0202i) q^{77} +(-29.3734 + 4.60771i) q^{78} +(-12.1222 + 6.24941i) q^{79} +(18.1265 - 7.25674i) q^{80} +(-2.50451 + 8.64450i) q^{81} +(-7.89429 - 15.3128i) q^{82} +(-8.03536 - 9.27330i) q^{83} +(19.9965 - 6.55579i) q^{84} +(3.47479 - 2.23311i) q^{85} +(1.18618 + 1.24403i) q^{86} +(3.19230 + 2.96678i) q^{87} +(23.3093 + 22.2254i) q^{88} +(-0.985078 - 1.38335i) q^{89} +(-10.6942 - 15.7396i) q^{90} +(9.99381 - 14.5956i) q^{91} +(11.0646 - 19.0418i) q^{92} +(-14.0716 + 7.48390i) q^{93} +(-6.91922 - 8.79850i) q^{94} +(0.147364 + 1.54326i) q^{95} +(-8.64392 + 8.45580i) q^{96} +(-2.83590 - 2.45732i) q^{97} +(-7.64203 + 16.2669i) q^{98} +(7.53377 - 12.4101i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−0.954248	+	2.38360i	−0.674755	+	1.68546i	0.0520772	+	0.998643i	$0.483416\pi$
$2$	−0.954248	+	2.38360i	−0.674755	+	1.68546i	−0.726833	+	0.686815i	$0.759008\pi$
$3$	0.773902	−	1.54954i	0.446813	−	0.894627i
$3$	0.773902	−	1.54954i	0.446813	−	0.894627i
$4$	−3.32348	−	3.16893i	−1.66174	−	1.58446i
$5$	−0.808015	−	2.33461i	−0.361355	−	1.04407i	−0.968401	−	0.249400i	$-0.919767\pi$
$5$	−0.808015	−	2.33461i	−0.361355	−	1.04407i	0.607045	−	0.794667i	$-0.292355\pi$
$6$	2.95498	+	3.32332i	1.20637	+	1.35674i
$7$	−2.64462	−	0.0772305i	−0.999574	−	0.0291904i
$7$	−2.64462	−	0.0772305i	−0.999574	−	0.0291904i
$8$	6.05389	−	2.76472i	2.14037	−	0.977475i
$9$	−1.80215	−	2.39839i	−0.600717	−	0.799462i
$10$	6.33581	+	0.301812i	2.00356	+	0.0954412i
$11$	1.79858	+	4.49264i	0.542293	+	1.35458i	0.906083	+	0.423101i	$0.139058\pi$
$11$	1.79858	+	4.49264i	0.542293	+	1.35458i	−0.363790	+	0.931481i	$0.618517\pi$
$12$	−7.48243	+	2.69742i	−2.15999	+	0.778678i
$13$	−3.61466	+	5.62453i	−1.00253	+	1.55996i	−0.186086	+	0.982533i	$0.559580\pi$
$13$	−3.61466	+	5.62453i	−1.00253	+	1.55996i	−0.816441	+	0.577429i	$0.804056\pi$
$14$	2.70771	−	6.23002i	0.723667	−	1.66504i
$15$	−4.24289	−	0.554705i	−1.09551	−	0.143224i
$16$	0.376057	+	7.89441i	0.0940143	+	1.97360i
$17$	0.394175	+	1.62481i	0.0956014	+	0.394075i	0.999428	−	0.0338250i	$-0.0107689\pi$
$17$	0.394175	+	1.62481i	0.0956014	+	0.394075i	−0.903826	+	0.427899i	$0.859254\pi$
$18$	7.43648	−	2.00694i	1.75280	−	0.473041i
$19$	−0.609834	−	0.147944i	−0.139905	−	0.0339407i	0.165195	−	0.986261i	$-0.447175\pi$
$19$	−0.609834	−	0.147944i	−0.139905	−	0.0339407i	−0.305100	+	0.952320i	$0.598690\pi$
$20$	−4.71278	+	10.3195i	−1.05381	+	2.30752i
$21$	−2.16635	+	4.03818i	−0.472737	+	0.881204i
$22$	−12.4249			−2.64901
$23$	1.11768	+	4.66377i	0.233053	+	0.972464i
$23$	1.11768	+	4.66377i	0.233053	+	0.972464i
$24$	0.401076	−	11.5204i	0.0818694	−	2.35158i
$25$	−0.867229	+	0.681996i	−0.173446	+	0.136399i
$26$	−9.95732	−	13.9831i	−1.95279	−	2.74231i
$27$	−5.11108	+	0.936388i	−0.983629	+	0.180208i
$28$	8.54461	+	8.63730i	1.61478	+	1.63230i
$29$	−0.708873	+	2.41420i	−0.131634	+	0.448305i	−0.998760	−	0.0497840i	$-0.984147\pi$
$29$	−0.708873	+	2.41420i	−0.131634	+	0.448305i	0.867126	+	0.498089i	$0.165965\pi$
$30$	5.37096	−	9.58401i	0.980599	−	1.74979i
$31$	−7.49554	−	5.33755i	−1.34624	−	0.958652i	−0.999788	−	0.0205838i	$-0.993448\pi$
$31$	−7.49554	−	5.33755i	−1.34624	−	0.958652i	−0.346450	−	0.938068i	$-0.612613\pi$
$32$	−6.59738	−	2.28338i	−1.16626	−	0.403648i
$33$	8.35345	+	0.689890i	1.45415	+	0.120094i
$34$	−4.24904	−	0.610919i	−0.728704	−	0.104772i
$35$	1.95659	+	6.23656i	0.330724	+	1.05417i
$36$	−1.61091	+	13.6819i	−0.268485	+	2.28031i
$37$	−2.35409	+	0.453713i	−0.387010	+	0.0745900i	−0.379045	−	0.925378i	$-0.623747\pi$
$37$	−2.35409	+	0.453713i	−0.387010	+	0.0745900i	−0.00796471	+	0.999968i	$0.502535\pi$
$38$	0.934572	−	1.31242i	0.151608	−	0.212903i
$39$	5.91803	+	9.95390i	0.947644	+	1.59390i
$40$	−11.3462	−	11.8995i	−1.79398	−	1.88148i
$41$	−4.39409	+	5.07105i	−0.686241	+	0.791965i	−0.986825	−	0.161791i	$-0.948273\pi$
$41$	−4.39409	+	5.07105i	−0.686241	+	0.791965i	0.300584	+	0.953755i	$0.402819\pi$
$42$	−7.55816	−	9.01714i	−1.16625	−	1.39137i
$43$	0.278113	−	0.608982i	0.0424118	−	0.0928689i	−0.887240	−	0.461308i	$-0.847380\pi$
$43$	0.278113	−	0.608982i	0.0424118	−	0.0928689i	0.929652	+	0.368439i	$0.120108\pi$
$44$	8.25931	−	20.6308i	1.24514	−	3.11020i
$45$	−4.14312	+	6.14524i	−0.617620	+	0.916078i
$46$	−12.1831	−	1.78630i	−1.79630	−	0.263375i
$47$	−2.17979	+	3.77550i	−0.317955	+	0.550714i	−0.980061	−	0.198696i	$-0.936329\pi$
$47$	−2.17979	+	3.77550i	−0.317955	+	0.550714i	0.662106	+	0.749410i	$0.269663\pi$
$48$	12.5237	+	5.52679i	1.80765	+	0.797723i
$49$	6.98807	+	0.408491i	0.998296	+	0.0583559i
$50$	−0.798053	−	2.71792i	−0.112862	−	0.384372i
$51$	2.82276	+	0.646655i	0.395266	+	0.0905498i
$52$	29.8370	−	7.23837i	4.13764	−	1.00378i
$53$	1.29404	−	2.51008i	0.177749	−	0.344786i	−0.783082	−	0.621918i	$-0.786354\pi$
$53$	1.29404	−	2.51008i	0.177749	−	0.344786i	0.960832	+	0.277132i	$0.0893840\pi$
$54$	2.64527	−	13.0763i	0.359976	−	1.77946i
$55$	9.03526	−	7.82910i	1.21831	−	1.05568i
$56$	−16.2238	+	6.84409i	−2.16799	+	0.914580i
$57$	−0.701197	+	0.830468i	−0.0928758	+	0.109998i
$58$	−5.07804	−	3.99341i	−0.666779	−	0.524361i
$59$	0.410836	−	8.62450i	0.0534863	−	1.12281i	−0.799427	−	0.600763i	$-0.794864\pi$
$59$	0.410836	−	8.62450i	0.0534863	−	1.12281i	0.852914	−	0.522052i	$-0.174833\pi$
$60$	12.3433	+	15.2890i	1.59352	+	1.97380i
$61$	0.337259	−	3.53193i	0.0431815	−	0.452218i	−0.947862	−	0.318680i	$-0.896760\pi$
$61$	0.337259	−	3.53193i	0.0431815	−	0.452218i	0.991044	−	0.133537i	$-0.0426336\pi$
$62$	19.8752	−	12.7730i	2.52415	−	1.62217i
$63$	4.58078	+	6.48201i	0.577124	+	0.816656i
$64$	1.38699	−	1.60067i	0.173374	−	0.200084i
$65$	16.0517	+	3.89411i	1.99097	+	0.483005i
$66$	−9.61569	+	19.2529i	−1.18361	+	2.36987i
$67$	−2.83475	+	2.22927i	−0.346320	+	0.272349i	−0.776133	−	0.630569i	$-0.782822\pi$
$67$	−2.83475	+	2.22927i	−0.346320	+	0.272349i	0.429814	+	0.902918i	$0.358579\pi$
$68$	3.83888	−	6.64913i	0.465532	−	0.806326i
$69$	8.09168	+	1.87741i	0.974124	+	0.226014i
$70$	−16.7325	−	1.28750i	−1.99992	−	0.153885i
$71$	2.55821	−	0.367815i	0.303604	−	0.0436517i	0.0111708	−	0.999938i	$-0.496444\pi$
$71$	2.55821	−	0.367815i	0.303604	−	0.0436517i	0.292433	+	0.956286i	$0.405535\pi$
$72$	−17.5409	−	9.53712i	−2.06721	−	1.12396i
$73$	5.04022	−	5.28603i	0.589913	−	0.618683i	−0.359336	−	0.933208i	$-0.616997\pi$
$73$	5.04022	−	5.28603i	0.589913	−	0.618683i	0.949249	+	0.314525i	$0.101845\pi$
$74$	1.16491	−	6.04415i	0.135419	−	0.702618i
$75$	0.385630	+	1.87160i	0.0445287	+	0.216114i
$76$	1.55794	+	2.42421i	0.178708	+	0.278076i
$77$	−4.40960	−	12.0202i	−0.502521	−	1.36983i
$78$	−29.3734	+	4.60771i	−3.32588	+	0.521721i
$79$	−12.1222	+	6.24941i	−1.36385	+	0.703114i	−0.975829	−	0.218537i	$-0.929872\pi$
$79$	−12.1222	+	6.24941i	−1.36385	+	0.703114i	−0.388021	+	0.921650i	$0.626841\pi$
$80$	18.1265	−	7.25674i	2.02660	−	0.811329i
$81$	−2.50451	+	8.64450i	−0.278279	+	0.960500i
$82$	−7.89429	−	15.3128i	−0.871778	−	1.69101i
$83$	−8.03536	−	9.27330i	−0.881996	−	1.01788i	−0.999692	−	0.0248278i	$-0.992096\pi$
$83$	−8.03536	−	9.27330i	−0.881996	−	1.01788i	0.117696	−	0.993050i	$-0.462449\pi$
$84$	19.9965	−	6.55579i	2.18180	−	0.715295i
$85$	3.47479	−	2.23311i	0.376894	−	0.242215i
$86$	1.18618	+	1.24403i	0.127909	+	0.134147i
$87$	3.19230	+	2.96678i	0.342250	+	0.318072i
$88$	23.3093	+	22.2254i	2.48478	+	2.36923i
$89$	−0.985078	−	1.38335i	−0.104418	−	0.146635i	0.759061	−	0.651020i	$-0.225659\pi$
$89$	−0.985078	−	1.38335i	−0.104418	−	0.146635i	−0.863479	+	0.504385i	$0.831719\pi$
$90$	−10.6942	−	15.7396i	−1.12727	−	1.65910i
$91$	9.99381	−	14.5956i	1.04764	−	1.53003i
$92$	11.0646	−	19.0418i	1.15356	−	1.98524i
$93$	−14.0716	+	7.48390i	−1.45915	+	0.776044i
$94$	−6.91922	−	8.79850i	−0.713663	−	0.907496i
$95$	0.147364	+	1.54326i	0.0151192	+	0.158335i
$96$	−8.64392	+	8.45580i	−0.882216	+	0.863017i
$97$	−2.83590	−	2.45732i	−0.287942	−	0.249503i	0.498897	−	0.866661i	$-0.333738\pi$
$97$	−2.83590	−	2.45732i	−0.287942	−	0.249503i	−0.786839	+	0.617158i	$0.788284\pi$
$98$	−7.64203	+	16.2669i	−0.771962	+	1.64321i
$99$	7.53377	−	12.4101i	0.757172	−	1.24726i
$100$	5.04341	+	0.481587i	0.504341	+	0.0481587i
$101$	−1.57639	+	4.55468i	−0.156857	+	0.453208i	−0.995858	−	0.0909215i	$-0.971019\pi$
$101$	−1.57639	+	4.55468i	−0.156857	+	0.453208i	0.839001	+	0.544130i	$0.183140\pi$
$102$	−4.23498	+	6.11126i	−0.419326	+	0.605105i
$103$	−8.64371	+	10.9914i	−0.851690	+	1.08301i	0.143936	+	0.989587i	$0.454024\pi$
$103$	−8.64371	+	10.9914i	−0.851690	+	1.08301i	−0.995626	+	0.0934250i	$0.970218\pi$
$104$	−6.33254	+	44.0438i	−0.620956	+	4.31885i
$105$	11.1780	+	1.79467i	1.09086	+	0.175142i
$106$	4.74818	+	5.47970i	0.461184	+	0.532235i
$107$	−1.29227	+	13.5333i	−0.124928	+	1.30831i	0.687900	+	0.725806i	$0.258533\pi$
$107$	−1.29227	+	13.5333i	−0.124928	+	1.30831i	−0.812828	+	0.582504i	$0.802073\pi$
$108$	19.9539	+	13.0846i	1.92007	+	1.25907i
$109$	−2.77317	−	11.4312i	−0.265622	−	1.09491i	−0.935750	−	0.352663i	$-0.885276\pi$
$109$	−2.77317	−	11.4312i	−0.265622	−	1.09491i	0.670129	−	0.742245i	$-0.266239\pi$
$110$	10.0395	+	29.0073i	0.957232	+	2.76574i
$111$	−1.11879	+	3.99888i	−0.106191	+	0.379557i
$112$	−0.384840	−	20.9068i	−0.0363640	−	1.97551i
$113$	−1.42591	+	0.205015i	−0.134139	+	0.0192862i	−0.209057	−	0.977903i	$-0.567039\pi$
$113$	−1.42591	+	0.205015i	−0.134139	+	0.0192862i	0.0749184	+	0.997190i	$0.476130\pi$
$114$	−1.31038	−	2.46384i	−0.122729	−	0.230760i
$115$	9.98497	−	6.37774i	0.931103	−	0.594728i
$116$	10.0063	−	5.77717i	0.929066	−	0.536396i
$117$	20.0039	−	1.46688i	1.84937	−	0.135613i
$118$	20.1653	+	9.20918i	1.85637	+	0.847774i
$119$	−0.916959	−	4.32746i	−0.0840575	−	0.396697i
$120$	−27.2196	+	8.37227i	−2.48480	+	0.764280i
$121$	−8.98784	+	8.56989i	−0.817076	+	0.779081i
$122$	8.09687	+	4.17423i	0.733057	+	0.377917i
$123$	4.45720	+	10.7333i	0.401892	+	0.967790i
$124$	7.99694	+	41.4921i	0.718146	+	3.72610i
$125$	−8.09857	−	5.20464i	−0.724358	−	0.465517i
$126$	−19.8217	+	4.73329i	−1.76586	+	0.421675i
$127$	−2.28312	+	15.8795i	−0.202594	+	1.40907i	0.593954	+	0.804499i	$0.297566\pi$
$127$	−2.28312	+	15.8795i	−0.202594	+	1.40907i	−0.796549	+	0.604575i	$0.793343\pi$
$128$	−3.90625	−	7.57708i	−0.345267	−	0.669725i
$129$	−0.728410	−	0.902240i	−0.0641330	−	0.0794378i
$130$	−24.5993	+	34.5449i	−2.15751	+	3.02979i
$131$	0.297032	+	6.23548i	0.0259518	+	0.544796i	0.973983	+	0.226620i	$0.0727674\pi$
$131$	0.297032	+	6.23548i	0.0259518	+	0.544796i	−0.948032	+	0.318176i	$0.896930\pi$
$132$	−25.5763	−	28.7643i	−2.22613	−	2.50361i
$133$	1.60136	+	0.438354i	0.138855	+	0.0380101i
$134$	−2.60863	−	8.88418i	−0.225351	−	0.767476i
$135$	6.31593	+	11.1757i	0.543588	+	0.961855i
$136$	6.87843	+	8.74664i	0.589821	+	0.750018i
$137$	−6.91495	+	3.99235i	−0.590784	+	0.341089i	−0.765407	−	0.643546i	$-0.777462\pi$
$137$	−6.91495	+	3.99235i	−0.590784	+	0.341089i	0.174624	+	0.984635i	$0.444129\pi$
$138$	−12.1965	+	17.4958i	−1.03823	+	1.48934i
$139$		−	7.67042i		−	0.650597i	−0.945611	−	0.325298i	$-0.894535\pi$
$139$		−	7.67042i		−	0.650597i	0.945611	−	0.325298i	$-0.105465\pi$
$140$	13.2605	−	26.9274i	1.12072	−	2.27578i
$141$	4.16335	+	6.29954i	0.350617	+	0.530517i
$142$	−1.56445	+	6.44874i	−0.131285	+	0.541166i
$143$	−31.7702	−	6.12321i	−2.65676	−	0.512049i
$144$	18.2561	−	15.1288i	1.52134	−	1.26074i
$145$	6.20898	−	0.295770i	0.515628	−	0.0245624i
$146$	7.79015	+	17.0580i	0.644717	+	1.41173i
$147$	6.04106	−	10.5122i	0.498258	−	0.867029i
$148$	9.26154	+	5.95203i	0.761294	+	0.489254i
$149$	1.37340	−	1.74642i	0.112513	−	0.143072i	−0.726535	−	0.687130i	$-0.758870\pi$
$149$	1.37340	−	1.74642i	0.112513	−	0.143072i	0.839048	+	0.544058i	$0.183113\pi$
$150$	−4.82914	−	0.866788i	−0.394297	−	0.0707730i
$151$	0.307652	−	6.45842i	0.0250364	−	0.525578i	−0.951161	−	0.308695i	$-0.900108\pi$
$151$	0.307652	−	6.45842i	0.0250364	−	0.525578i	0.976197	−	0.216883i	$-0.0695892\pi$
$152$	−4.10089	+	0.790382i	−0.332626	+	0.0641084i
$153$	3.18656	−	3.87354i	0.257618	−	0.313157i
$154$	32.8593	+	0.959584i	2.64788	+	0.0773255i
$155$	−6.40456	+	21.8119i	−0.514427	+	1.75198i
$156$	11.8748	−	51.8354i	0.950741	−	4.15015i
$157$	−0.458949	+	0.481332i	−0.0366281	+	0.0384145i	−0.741793	−	0.670629i	$-0.766024\pi$
$157$	−0.458949	+	0.481332i	−0.0366281	+	0.0384145i	0.705165	+	0.709043i	$0.250873\pi$
$158$	−3.32852	−	34.8578i	−0.264803	−	2.77314i
$159$	−2.88801	−	3.94772i	−0.229034	−	0.313074i
$160$			17.2473i			1.36352i
$161$	−2.59566	−	12.4202i	−0.204567	−	0.978853i
$162$	−18.2151	−	14.2187i	−1.43111	−	1.11713i
$163$	12.1550	+	4.86613i	0.952054	+	0.381145i	0.795112	−	0.606463i	$-0.207412\pi$
$163$	12.1550	+	4.86613i	0.952054	+	0.381145i	0.156942	+	0.987608i	$0.449836\pi$
$164$	30.6734	−	2.92896i	2.39519	−	0.228713i
$165$	−5.13909	−	20.0595i	−0.400078	−	1.56163i
$166$	29.7716	−	10.3040i	2.31072	−	0.799748i
$167$	17.8462	+	5.24012i	1.38098	+	0.405493i	0.886111	−	0.463474i	$-0.153397\pi$
$167$	17.8462	+	5.24012i	1.38098	+	0.405493i	0.494871	+	0.868967i	$0.335215\pi$
$168$	−1.95042	+	30.4361i	−0.150478	+	2.34819i
$169$	−13.1691	−	28.8363i	−1.01301	−	2.21818i
$170$	2.00703	+	10.4135i	0.153932	+	0.798675i
$171$	0.744185	+	1.72923i	0.0569093	+	0.132238i
$172$	−2.85412	+	1.14262i	−0.217625	+	0.0871238i
$173$	−6.03238	−	4.74392i	−0.458634	−	0.360673i	0.361952	−	0.932197i	$-0.382110\pi$
$173$	−6.03238	−	4.74392i	−0.458634	−	0.360673i	−0.820586	+	0.571523i	$0.806353\pi$
$174$	−10.1179	+	4.77811i	−0.767033	+	0.362228i
$175$	2.34616	−	1.73665i	0.177353	−	0.131278i
$176$	−34.7904	+	15.8882i	−2.62242	+	1.19762i
$177$	−13.0461	−	7.31113i	−0.980602	−	0.549538i
$178$	4.23736	−	1.02797i	0.317603	−	0.0770497i
$179$	−2.42960	+	12.6059i	−0.181596	+	0.942212i	0.770737	+	0.637153i	$0.219888\pi$
$179$	−2.42960	+	12.6059i	−0.181596	+	0.942212i	−0.952334	+	0.305059i	$0.901324\pi$
$180$	33.2434	−	7.29431i	2.47782	−	0.543686i
$181$	−17.8229	−	8.13943i	−1.32476	−	0.604999i	−0.377665	−	0.925942i	$-0.623273\pi$
$181$	−17.8229	−	8.13943i	−1.32476	−	0.604999i	−0.947098	+	0.320943i	$0.896000\pi$
$182$	25.2534	+	37.7490i	1.87191	+	2.79814i
$183$	−5.21187	−	3.25597i	−0.385272	−	0.240688i
$184$	19.6603	+	25.1439i	1.44938	+	1.85363i
$185$	2.96138	+	5.12926i	0.217725	+	0.377111i
$186$	−4.41083	−	40.6824i	−0.323418	−	2.98298i
$187$	−6.59073	+	4.69324i	−0.481962	+	0.343204i
$188$	19.2088	−	5.64020i	1.40094	−	0.411354i
$189$	13.5892	−	2.08166i	0.988470	−	0.151419i
$190$	−3.81914	−	1.12140i	−0.277069	−	0.0813549i
$191$	−8.59948	+	0.409644i	−0.622236	+	0.0296408i	−0.356333	−	0.934359i	$-0.615973\pi$
$191$	−8.59948	+	0.409644i	−0.622236	+	0.0296408i	−0.265903	+	0.964000i	$0.585670\pi$
$192$	−1.40691	−	3.38797i	−0.101535	−	0.244505i
$193$	8.65186	−	24.9979i	0.622775	−	1.79939i	0.0222928	−	0.999751i	$-0.492903\pi$
$193$	8.65186	−	24.9979i	0.622775	−	1.79939i	0.600482	−	0.799638i	$-0.294975\pi$
$194$	8.56341	−	4.41474i	0.614817	−	0.316960i
$195$	18.4566	−	21.8592i	1.32170	−	1.56537i
$196$	−21.9302	−	23.5023i	−1.56644	−	1.67874i
$197$	−7.93264	+	12.3434i	−0.565177	+	0.879433i	−0.999775	−	0.0211913i	$-0.993254\pi$
$197$	−7.93264	+	12.3434i	−0.565177	+	0.879433i	0.434598	+	0.900625i	$0.356890\pi$
$198$	22.3916	+	29.7998i	1.59130	+	2.11778i
$199$	8.20207	+	5.84067i	0.581429	+	0.414034i	0.832573	−	0.553916i	$-0.186867\pi$
$199$	8.20207	+	5.84067i	0.581429	+	0.414034i	−0.251143	+	0.967950i	$0.580806\pi$
$200$	−3.36458	+	6.52637i	−0.237912	+	0.461484i
$201$	1.26053	+	6.11780i	0.0889107	+	0.431516i
$202$	−9.35226	−	8.10378i	−0.658023	−	0.570180i
$203$	2.06115	−	6.32990i	0.144664	−	0.444272i
$204$	−7.33218	−	11.0943i	−0.513355	−	0.776755i
$205$	15.3894	+	6.16098i	1.07484	+	0.430302i
$206$	−17.9508	−	31.0916i	−1.25069	−	2.16626i
$207$	9.17130	−	11.0855i	0.637449	−	0.770492i
$208$	−45.7616	−	26.4205i	−3.17300	−	1.83193i
$209$	−0.432176	−	3.00585i	−0.0298943	−	0.207919i
$210$	−14.9444	+	24.9313i	−1.03126	+	1.72042i
$211$	19.5195	−	5.73144i	1.34378	−	0.394569i	0.470761	−	0.882261i	$-0.343979\pi$
$211$	19.5195	−	5.73144i	1.34378	−	0.394569i	0.873016	+	0.487692i	$0.162161\pi$
$212$	−12.2550	+	4.24148i	−0.841674	+	0.291306i
$213$	1.40986	−	4.24871i	0.0966022	−	0.291117i
$214$	−31.0247	−	15.9943i	−2.12080	−	1.09335i
$215$	−1.64645	−	0.157217i	−0.112287	−	0.0107221i
$216$	−28.3531	+	19.7995i	−1.92918	+	1.34718i
$217$	19.4107	+	14.6947i	1.31768	+	0.997541i
$218$	29.8936	+	4.29805i	2.02465	+	0.291101i
$219$	−4.29028	−	11.9009i	−0.289910	−	0.804188i
$220$	−54.8383	−	2.61227i	−3.69720	−	0.176119i
$221$	−10.5636	−	3.65610i	−0.710585	−	0.245936i
$222$	−8.46412	−	6.48266i	−0.568075	−	0.435088i
$223$	1.05304	+	1.63857i	0.0705170	+	0.109727i	0.874721	−	0.484627i	$-0.161044\pi$
$223$	1.05304	+	1.63857i	0.0705170	+	0.109727i	−0.804204	+	0.594353i	$0.797408\pi$
$224$	17.2713	+	6.54819i	1.15398	+	0.437519i
$225$	3.19857	+	0.850890i	0.213238	+	0.0567260i
$226$	0.872002	−	3.59444i	0.0580047	−	0.239099i
$227$	16.8671	−	1.61061i	1.11951	−	0.106900i	0.481149	−	0.876639i	$-0.340220\pi$
$227$	16.8671	−	1.61061i	1.11951	−	0.106900i	0.638359	+	0.769739i	$0.279613\pi$
$228$	4.96211	−	0.537997i	0.328623	−	0.0356297i
$229$	−8.45843	−	4.88347i	−0.558949	−	0.322709i	0.193775	−	0.981046i	$-0.437927\pi$
$229$	−8.45843	−	4.88347i	−0.558949	−	0.322709i	−0.752723	+	0.658337i	$0.771260\pi$
$230$	5.67383	+	29.8861i	0.374121	+	1.97063i
$231$	−22.0385	−	2.46964i	−1.45002	−	0.162490i
$232$	2.38314	+	16.5751i	0.156461	+	1.08821i
$233$	0.234721	−	0.167144i	0.0153771	−	0.0109500i	−0.572343	−	0.820015i	$-0.693965\pi$
$233$	0.234721	−	0.167144i	0.0153771	−	0.0109500i	0.587720	+	0.809065i	$0.300026\pi$
$234$	−15.5923	+	49.0811i	−1.01930	+	3.20853i
$235$	10.5756	+	2.03828i	0.689877	+	0.132963i
$236$	−28.6958	+	27.3614i	−1.86794	+	1.78108i
$237$	0.302341	+	23.6202i	0.0196391	+	1.53430i
$238$	11.1899	+	1.94381i	0.725335	+	0.125998i
$239$	8.95433	−	7.75897i	0.579207	−	0.501886i	−0.315268	−	0.949003i	$-0.602095\pi$
$239$	8.95433	−	7.75897i	0.579207	−	0.501886i	0.894476	+	0.447117i	$0.147549\pi$
$240$	2.78350	−	33.7037i	0.179674	−	2.17556i
$241$	0.529581	+	1.32283i	0.0341133	+	0.0852109i	0.944446	−	0.328665i	$-0.106599\pi$
$241$	0.529581	+	1.32283i	0.0341133	+	0.0852109i	−0.910333	+	0.413876i	$0.864175\pi$
$242$	−11.8505	−	29.6012i	−0.761781	−	1.90284i
$243$	11.4568	+	10.5708i	0.734951	+	0.678120i
$244$	−12.3133	+	10.6695i	−0.788279	+	0.683048i
$245$	−4.69280	−	16.6445i	−0.299812	−	1.06338i
$246$	−29.8372	+	0.381918i	−1.90235	+	0.0243502i
$247$	3.03646	−	2.89526i	0.193205	−	0.184221i
$248$	−60.1340	−	11.5899i	−3.81851	−	0.735958i
$249$	−20.5879	+	5.27449i	−1.30471	+	0.334257i
$250$	20.1338	−	14.3372i	1.27337	−	0.906765i
$251$	1.70593	+	11.8650i	0.107677	+	0.748913i	0.970097	+	0.242718i	$0.0780391\pi$
$251$	1.70593	+	11.8650i	0.107677	+	0.748913i	−0.862419	+	0.506194i	$0.831052\pi$
$252$	5.31691	−	36.0590i	0.334934	−	2.27150i
$253$	−18.9424	+	13.4095i	−1.19090	+	0.843049i
$254$	−35.6715	−	20.5950i	−2.23823	−	1.29224i
$255$	−0.771149	−	7.11254i	−0.0482912	−	0.445405i
$256$	26.0050	−	2.48318i	1.62532	−	0.155199i
$257$	0.938722	−	3.86947i	0.0585559	−	0.241371i	−0.935011	−	0.354619i	$-0.884611\pi$
$257$	0.938722	−	3.86947i	0.0585559	−	0.241371i	0.993567	+	0.113249i	$0.0361257\pi$
$258$	2.84566	−	0.875276i	0.177163	−	0.0544923i
$259$	6.26072	−	1.01809i	0.389022	−	0.0632612i
$260$	−41.0074	−	63.8088i	−2.54317	−	3.95726i
$261$	7.06767	−	2.65060i	0.437478	−	0.164068i
$262$	−15.1463	−	5.24219i	−0.935742	−	0.323863i
$263$	27.4415	+	1.30720i	1.69212	+	0.0806054i	0.871350	−	0.490661i	$-0.163245\pi$
$263$	27.4415	+	1.30720i	1.69212	+	0.0806054i	0.820765	+	0.571267i	$0.193548\pi$
$264$	52.4782	−	18.9184i	3.22981	−	1.16435i
$265$	−6.90564	−	0.992882i	−0.424210	−	0.0609922i
$266$	−2.57295	+	3.39869i	−0.157758	+	0.208387i
$267$	−2.90591	+	0.455841i	−0.177839	+	0.0278970i
$268$	16.4856	+	1.57419i	1.00702	+	0.0961588i
$269$	10.6993	+	5.51588i	0.652349	+	0.336309i	0.752432	−	0.658670i	$-0.228881\pi$
$269$	10.6993	+	5.51588i	0.652349	+	0.336309i	−0.100083	+	0.994979i	$0.531911\pi$
$270$	−32.6654	+	4.39019i	−1.98796	+	0.267178i
$271$	10.9665	−	3.79555i	0.666169	−	0.230563i	0.0270069	−	0.999635i	$-0.491402\pi$
$271$	10.9665	−	3.79555i	0.666169	−	0.230563i	0.639162	+	0.769072i	$0.279281\pi$
$272$	−12.6787	+	3.72280i	−0.768758	+	0.225728i
$273$	−14.8822	−	26.7814i	−0.900713	−	1.62088i
$274$	−2.91757	−	20.2921i	−0.176257	−	1.22589i
$275$	−4.62374	−	2.66952i	−0.278822	−	0.160978i
$276$	−20.9431	−	31.8815i	−1.26063	−	1.91904i
$277$	7.17099	+	12.4205i	0.430863	+	0.746277i	0.996948	−	0.0780702i	$-0.0248758\pi$
$277$	7.17099	+	12.4205i	0.430863	+	0.746277i	−0.566085	+	0.824347i	$0.691543\pi$
$278$	18.2832	+	7.31949i	1.09655	+	0.438994i
$279$	0.706584	+	27.5963i	0.0423021	+	1.65214i
$280$	29.0873	+	32.3460i	1.73830	+	1.93304i
$281$	0.708487	+	0.613908i	0.0422648	+	0.0366227i	0.675737	−	0.737143i	$-0.263825\pi$
$281$	0.708487	+	0.613908i	0.0422648	+	0.0366227i	−0.633472	+	0.773765i	$0.718371\pi$
$282$	−18.9884	+	3.91243i	−1.13074	+	0.232982i
$283$	−13.0014	+	25.2191i	−0.772850	+	1.49912i	0.0912654	+	0.995827i	$0.470909\pi$
$283$	−13.0014	+	25.2191i	−0.772850	+	1.49912i	−0.864116	+	0.503294i	$0.832121\pi$
$284$	−9.66774	−	6.88437i	−0.573675	−	0.408512i
$285$	2.50539	+	0.965988i	0.148407	+	0.0572202i
$286$	44.9120	−	69.8844i	2.65570	−	4.13235i
$287$	12.0124	−	13.0717i	0.709067	−	0.771596i
$288$	6.41306	+	19.9381i	0.377893	+	1.17486i
$289$	12.6256	−	6.50893i	0.742680	−	0.382878i
$290$	−5.21991	+	15.0819i	−0.306524	+	0.885642i
$291$	−6.00242	+	2.49261i	−0.351868	+	0.146119i
$292$	−33.5021	+	1.59590i	−1.96056	+	0.0933932i
$293$	−11.5312	−	3.38585i	−0.673657	−	0.197804i	−0.0730264	−	0.997330i	$-0.523266\pi$
$293$	−11.5312	−	3.38585i	−0.673657	−	0.197804i	−0.600631	+	0.799526i	$0.705084\pi$
$294$	19.2921	+	24.4307i	1.12514	+	1.42483i
$295$	−20.4668	+	6.00959i	−1.19162	+	0.349892i
$296$	−12.9970	+	9.25511i	−0.755435	+	0.537943i
$297$	−13.3996	−	21.2781i	−0.777521	−	1.23468i
$298$	2.85220	+	4.94015i	0.165223	+	0.286175i
$299$	−30.2716	−	10.5715i	−1.75065	−	0.611368i
$300$	4.64935	−	7.44227i	0.268430	−	0.429680i
$301$	−0.782536	+	1.58905i	−0.0451046	+	0.0915913i
$302$	15.1007	+	6.89625i	0.868947	+	0.396835i
$303$	5.83769	+	5.96756i	0.335367	+	0.342828i
$304$	0.938599	−	4.86991i	0.0538323	−	0.279309i
$305$	−8.51818	+	2.06649i	−0.487749	+	0.118327i
$306$	6.19218	+	11.2918i	0.353983	+	0.645509i
$307$	−10.3360	+	4.72030i	−0.589908	+	0.269402i	−0.687924	−	0.725783i	$-0.741478\pi$
$307$	−10.3360	+	4.72030i	−0.589908	+	0.269402i	0.0980160	+	0.995185i	$0.468750\pi$
$308$	−23.4361	+	53.9227i	−1.33540	+	3.07253i
$309$	10.3422	+	21.9000i	0.588346	+	1.24585i
$310$	−45.8793	−	36.0799i	−2.60577	−	2.04920i
$311$	2.41513	−	0.966874i	0.136950	−	0.0548264i	−0.302175	−	0.953252i	$-0.597713\pi$
$311$	2.41513	−	0.966874i	0.136950	−	0.0548264i	0.439125	+	0.898426i	$0.355289\pi$
$312$	63.3468	+	43.8981i	3.58631	+	2.48524i
$313$	2.36340	+	12.2625i	0.133587	+	0.693117i	0.985533	+	0.169486i	$0.0542108\pi$
$313$	2.36340	+	12.2625i	0.133587	+	0.693117i	−0.851945	+	0.523631i	$0.824577\pi$
$314$	−0.709350	−	1.55326i	−0.0400309	−	0.0876555i
$315$	11.4316	−	15.9319i	0.644097	−	0.897659i
$316$	60.0917	+	17.6445i	3.38042	+	0.992581i
$317$	9.64417	−	3.33788i	0.541671	−	0.187474i	−0.0425125	−	0.999096i	$-0.513536\pi$
$317$	9.64417	−	3.33788i	0.541671	−	0.187474i	0.584183	+	0.811622i	$0.301415\pi$
$318$	12.1656	−	3.11675i	0.682215	−	0.174779i
$319$	−12.1211	+	1.15742i	−0.678651	+	0.0648033i
$320$	−4.85765	−	1.94471i	−0.271551	−	0.108713i
$321$	19.9702	+	12.4758i	1.11463	+	0.696334i
$322$	32.0818	+	5.66499i	1.78785	+	0.315697i
$323$		−	1.04918i		−	0.0583780i
$324$	35.7175	−	20.7932i	1.98431	−	1.15518i
$325$	−0.701165	−	7.34294i	−0.0388937	−	0.407313i
$326$	−23.1978	+	24.3292i	−1.28481	+	1.34747i
$327$	−19.8592	−	4.54947i	−1.09822	−	0.251586i
$328$	−12.5813	+	42.8480i	−0.694686	+	2.36588i
$329$	6.05630	−	9.81644i	0.333895	−	0.541198i
$330$	52.7176	+	6.89218i	2.90201	+	0.379402i
$331$	−7.81004	+	1.50526i	−0.429279	+	0.0827367i	−0.399314	−	0.916814i	$-0.630752\pi$
$331$	−7.81004	+	1.50526i	−0.429279	+	0.0827367i	−0.0299648	+	0.999551i	$0.509540\pi$
$332$	−2.68110	+	56.2831i	−0.147144	+	3.08894i
$333$	5.33060	+	4.82835i	0.292115	+	0.264592i
$334$	−29.5201	+	37.5378i	−1.61527	+	2.05398i
$335$	7.49499	+	4.81674i	0.409495	+	0.263166i
$336$	−32.6937	−	15.5835i	−1.78359	−	0.850149i
$337$	7.75309	+	16.9769i	0.422338	+	0.924791i	0.994508	+	0.104656i	$0.0333742\pi$
$337$	7.75309	+	16.9769i	0.422338	+	0.924791i	−0.572171	+	0.820134i	$0.693899\pi$
$338$	81.3007	−	3.87283i	4.42218	−	0.210654i
$339$	−0.785838	+	2.36817i	−0.0426809	+	0.128621i
$340$	−18.6250	−	3.58967i	−1.01008	−	0.194677i
$341$	10.4983	−	43.2748i	0.568517	−	2.34346i
$342$	−4.83193	+	0.123719i	−0.261281	+	0.00668994i
$343$	−18.4493	−	1.62000i	−0.996167	−	0.0874717i
$344$		−	4.45561i		−	0.240231i
$345$	−2.15518	−	20.4079i	−0.116031	−	1.09872i
$346$	17.0640	−	9.85189i	0.917365	−	0.529641i
$347$	−7.31222	−	9.29825i	−0.392541	−	0.499156i	0.549109	−	0.835751i	$-0.314967\pi$
$347$	−7.31222	−	9.29825i	−0.392541	−	0.499156i	−0.941650	+	0.336595i	$0.890725\pi$
$348$	−1.20802	−	19.9762i	−0.0647565	−	1.07084i
$349$	−3.81496	−	12.9926i	−0.204210	−	0.695476i	−0.996367	−	0.0851590i	$-0.972860\pi$
$349$	−3.81496	−	12.9926i	−0.204210	−	0.695476i	0.792157	−	0.610317i	$-0.208958\pi$
$350$	1.90064	+	7.24950i	0.101594	+	0.387502i
$351$	13.2081	−	32.1321i	0.704997	−	1.71509i
$352$	−1.60754	−	33.7465i	−0.0856824	−	1.79869i
$353$	9.18667	−	12.9009i	0.488957	−	0.686644i	−0.494212	−	0.869341i	$-0.664543\pi$
$353$	9.18667	−	12.9009i	0.488957	−	0.686644i	0.983169	+	0.182697i	$0.0584828\pi$
$354$	29.8760	−	24.1199i	1.58789	−	1.28196i
$355$	−2.92578	−	5.67522i	−0.155284	−	0.301209i
$356$	−1.10985	+	7.71917i	−0.0588219	+	0.409115i
$357$	−7.41520	−	1.92816i	−0.392454	−	0.102049i
$358$	−27.7290	−	17.8204i	−1.46553	−	0.941836i
$359$	6.00863	+	31.1757i	0.317123	+	1.64539i	0.694617	+	0.719380i	$0.255574\pi$
$359$	6.00863	+	31.1757i	0.317123	+	1.64539i	−0.377493	+	0.926012i	$0.623214\pi$
$360$	−8.09213	+	48.6572i	−0.426493	+	2.56446i
$361$	−16.5379	−	8.52586i	−0.870414	−	0.448730i
$362$	36.4086	−	34.7155i	1.91359	−	1.82461i
$363$	6.32368	+	20.5593i	0.331907	+	1.07908i
$364$	−79.4666	+	16.8384i	−4.16518	+	0.882574i
$365$	−16.4134	−	7.49574i	−0.859115	−	0.392345i
$366$	12.7343	−	9.31599i	0.665634	−	0.486954i
$367$	−14.7896	+	8.53876i	−0.772009	+	0.445720i	−0.833591	−	0.552383i	$-0.813719\pi$
$367$	−14.7896	+	8.53876i	−0.772009	+	0.445720i	0.0615819	+	0.998102i	$0.480385\pi$
$368$	−36.3974	+	10.5773i	−1.89735	+	0.551379i
$369$	20.0811	+	1.39993i	1.04538	+	0.0728774i
$370$	−15.0520	+	2.16415i	−0.782515	+	0.112509i
$371$	−3.61609	+	6.53828i	−0.187738	+	0.339450i
$372$	70.4825	+	19.7192i	3.65434	+	1.02239i
$373$	2.99689	+	8.65894i	0.155173	+	0.448343i	0.995614	−	0.0935608i	$-0.0298249\pi$
$373$	2.99689	+	8.65894i	0.155173	+	0.448343i	−0.840441	+	0.541904i	$0.817704\pi$
$374$	−4.89760	−	20.1882i	−0.253249	−	1.04391i
$375$	−14.3323	+	8.52118i	−0.740117	+	0.440032i
$376$	−2.75799	+	28.8830i	−0.142232	+	1.48953i
$377$	−11.0164	−	12.7136i	−0.567373	−	0.654783i
$378$	−8.00564	+	34.3776i	−0.411766	+	1.76819i
$379$	−1.68952	+	11.7509i	−0.0867850	+	0.603603i	0.899296	+	0.437340i	$0.144079\pi$
$379$	−1.68952	+	11.7509i	−0.0867850	+	0.603603i	−0.986081	+	0.166263i	$0.946830\pi$
$380$	4.40073	−	5.59598i	0.225753	−	0.287068i
$381$	22.8389	+	15.8269i	1.17007	+	0.810838i
$382$	7.22961	−	20.8886i	0.369899	−	1.06875i
$383$	8.53473	+	0.814967i	0.436104	+	0.0416429i	0.310800	−	0.950475i	$-0.399403\pi$
$383$	8.53473	+	0.814967i	0.436104	+	0.0416429i	0.125304	+	0.992118i	$0.460009\pi$
$384$	−14.7640	+	0.188981i	−0.753424	+	0.00964389i
$385$	−24.4995	+	20.0072i	−1.24861	+	1.01966i
$386$	51.3289	+	44.4768i	2.61257	+	2.26381i
$387$	−1.96178	+	0.430455i	−0.0997227	+	0.0218813i
$388$	1.63797	+	17.1536i	0.0831553	+	0.870842i
$389$	−7.27624	−	9.25249i	−0.368920	−	0.469120i	0.565781	−	0.824556i	$-0.308575\pi$
$389$	−7.27624	−	9.25249i	−0.368920	−	0.469120i	−0.934701	+	0.355436i	$0.884332\pi$
$390$	34.4913	+	64.8521i	1.74653	+	3.28391i
$391$	−7.13719	+	3.65436i	−0.360943	+	0.184809i
$392$	43.4344	−	16.8471i	2.19377	−	0.850906i
$393$	9.89200	+	4.36539i	0.498985	+	0.220205i
$394$	−21.8521	−	30.6869i	−1.10089	−	1.54599i
$395$	24.3848	+	23.2509i	1.22693	+	1.16988i
$396$	−64.3650	+	17.3707i	−3.23447	+	0.872911i
$397$	13.4178	+	14.0722i	0.673422	+	0.706265i	0.968446	−	0.249225i	$-0.0801760\pi$
$397$	13.4178	+	14.0722i	0.673422	+	0.706265i	−0.295024	+	0.955490i	$0.595328\pi$
$398$	−21.7486	+	13.9770i	−1.09016	+	0.700603i
$399$	1.91854	−	2.14212i	0.0960471	−	0.107240i
$400$	−5.71008	−	6.58979i	−0.285504	−	0.329489i
$401$	−7.20061	−	13.9672i	−0.359581	−	0.697490i	0.637770	−	0.770227i	$-0.279857\pi$
$401$	−7.20061	−	13.9672i	−0.359581	−	0.697490i	−0.997351	+	0.0727366i	$0.976827\pi$
$402$	−15.7852	−	2.83331i	−0.787295	−	0.141313i
$403$	57.1150	−	22.8654i	2.84510	−	1.13901i
$404$	19.6726	−	10.1419i	0.978747	−	0.504579i
$405$	22.2052	−	1.13784i	1.10338	−	0.0565400i
$406$	13.1211	+	10.9533i	0.651188	+	0.543601i
$407$	−6.27239	−	9.76003i	−0.310911	−	0.483787i
$408$	18.8765	−	3.88936i	0.934526	−	0.192552i
$409$	4.66976	−	24.2290i	0.230905	−	1.19805i	−0.662593	−	0.748979i	$-0.730544\pi$
$409$	4.66976	−	24.2290i	0.230905	−	1.19805i	0.893498	−	0.449067i	$-0.148244\pi$
$410$	−29.3706	+	30.8030i	−1.45051	+	1.52125i
$411$	0.834808	+	13.8047i	0.0411780	+	0.680934i
$412$	63.5580	−	9.13827i	3.13128	−	0.450210i
$413$	−1.75258	+	22.7768i	−0.0862389	+	1.12077i
$414$	17.6716	+	32.4390i	0.868510	+	1.59429i
$415$	−15.1568	+	26.2524i	−0.744019	+	1.28868i
$416$	36.6902	−	28.8535i	1.79889	−	1.41466i
$417$	−11.8856	−	5.93616i	−0.582042	−	0.290695i
$418$	7.57715	+	1.83820i	0.370610	+	0.0899091i
$419$	−9.87564	+	11.3971i	−0.482457	+	0.556785i	−0.943834	−	0.330419i	$-0.892810\pi$
$419$	−9.87564	+	11.3971i	−0.482457	+	0.556785i	0.461378	+	0.887204i	$0.347355\pi$
$420$	−31.4627	−	41.3868i	−1.53522	−	2.01947i
$421$	−12.5147	+	8.04269i	−0.609928	+	0.391977i	−0.808830	−	0.588043i	$-0.799899\pi$
$421$	−12.5147	+	8.04269i	−0.609928	+	0.391977i	0.198902	+	0.980019i	$0.436262\pi$
$422$	−4.96500	+	51.9958i	−0.241692	+	2.53112i
$423$	12.9834	−	1.57605i	0.631275	−	0.0766302i
$424$	0.894286	−	18.7734i	0.0434304	−	0.911716i
$425$	−1.44995	−	1.14026i	−0.0703331	−	0.0553106i
$426$	8.78185	+	7.41486i	0.425482	+	0.359251i
$427$	−1.16470	+	9.31459i	−0.0563636	+	0.450764i
$428$	47.1808	−	40.8824i	2.28057	−	1.97612i
$429$	−34.0752	+	44.4905i	−1.64517	+	2.14802i
$430$	1.94587	−	3.77446i	0.0938380	−	0.182020i
$431$	−22.9442	+	5.56620i	−1.10518	+	0.268114i	−0.746527	−	0.665356i	$-0.768280\pi$
$431$	−22.9442	+	5.56620i	−1.10518	+	0.268114i	−0.358656	+	0.933470i	$0.616765\pi$
$432$	−9.31429	−	39.9968i	−0.448134	−	1.92435i
$433$	−5.12455	−	17.4526i	−0.246270	−	0.838718i	−0.986132	−	0.165960i	$-0.946928\pi$
$433$	−5.12455	−	17.4526i	−0.246270	−	0.838718i	0.739862	−	0.672758i	$-0.234891\pi$
$434$	−53.5488	+	32.2448i	−2.57043	+	1.54780i
$435$	4.34684	−	9.84996i	0.208415	−	0.472270i
$436$	−27.0080	+	46.7792i	−1.29345	+	2.24032i
$437$	0.00837774	−	3.00948i	0.000400762	−	0.143963i
$438$	32.4609	+	1.13011i	1.55104	+	0.0539989i
$439$	−0.537041	+	1.34146i	−0.0256316	+	0.0640246i	−0.940632	−	0.339429i	$-0.889766\pi$
$439$	−0.537041	+	1.34146i	−0.0256316	+	0.0640246i	0.915000	+	0.403454i	$0.132190\pi$
$440$	33.0532	−	72.3764i	1.57575	−	3.45041i
$441$	−11.6138	−	17.4963i	−0.553040	−	0.833155i
$442$	18.7950	−	21.6905i	0.893985	−	1.03171i
$443$	3.97564	+	4.16953i	0.188888	+	0.198100i	0.811368	−	0.584536i	$-0.198723\pi$
$443$	3.97564	+	4.16953i	0.188888	+	0.198100i	−0.622480	+	0.782636i	$0.713875\pi$
$444$	16.3904	−	9.74484i	0.777856	−	0.462470i
$445$	−2.43362	+	3.41753i	−0.115364	+	0.162007i
$446$	−4.91055	+	0.946431i	−0.232521	+	0.0448148i
$447$	−1.64327	−	3.47970i	−0.0777241	−	0.164584i
$448$	−3.79169	+	4.12606i	−0.179141	+	0.194938i
$449$	6.62318	+	0.952270i	0.312567	+	0.0449404i	0.296813	−	0.954935i	$-0.404076\pi$
$449$	6.62318	+	0.952270i	0.312567	+	0.0449404i	0.0157540	+	0.999876i	$0.494985\pi$
$450$	−5.08040	+	6.81213i	−0.239493	+	0.321127i
$451$	−30.6855	−	10.6204i	−1.44492	−	0.500093i
$452$	5.38867	+	3.83726i	0.253462	+	0.180489i
$453$	−9.76948	−	5.47490i	−0.459010	−	0.257233i
$454$	−12.2563	+	41.7413i	−0.575219	+	1.95902i
$455$	−42.1501	−	11.5381i	−1.97603	−	0.540917i
$456$	−1.94896	+	6.96617i	−0.0912684	+	0.326221i
$457$	−7.15305	−	10.0451i	−0.334606	−	0.469888i	0.612656	−	0.790350i	$-0.290101\pi$
$457$	−7.15305	−	10.0451i	−0.334606	−	0.469888i	−0.947261	+	0.320462i	$0.896162\pi$
$458$	19.7117	−	15.5014i	0.921066	−	0.724334i
$459$	−3.53611	−	7.93544i	−0.165052	−	0.370395i
$460$	−53.3954	−	10.4454i	−2.48957	−	0.487018i
$461$	12.3656			0.575923			0.287962	−	0.957642i	$-0.407022\pi$
$461$	12.3656			0.575923			0.287962	+	0.957642i	$0.407022\pi$
$462$	26.9168	−	50.1742i	1.25228	−	2.33431i
$463$	12.5189	−	27.4125i	0.581802	−	1.27397i	−0.358469	−	0.933542i	$-0.616701\pi$
$463$	12.5189	−	27.4125i	0.581802	−	1.27397i	0.940271	−	0.340427i	$-0.110572\pi$
$464$	−19.3252	−	4.68825i	−0.897152	−	0.217647i
$465$	28.8420	+	26.8044i	1.33751	+	1.24303i
$466$	0.174422	+	0.718977i	0.00807994	+	0.0333060i
$467$	0.388256	+	8.15049i	0.0179663	+	0.377160i	0.989888	+	0.141854i	$0.0453062\pi$
$467$	0.388256	+	8.15049i	0.0179663	+	0.377160i	−0.971921	+	0.235306i	$0.924391\pi$
$468$	−71.1311	−	58.5159i	−3.28804	−	2.70490i
$469$	7.66901	−	5.67666i	0.354122	−	0.262124i
$470$	−14.9502	+	23.2630i	−0.689601	+	1.07304i
$471$	0.390661	+	1.08366i	0.0180007	+	0.0499326i
$472$	−21.3572	−	53.3476i	−0.983043	−	2.45552i
$473$	3.23615	+	0.154157i	0.148798	+	0.00708813i
$474$	−56.5896	−	21.8189i	−2.59925	−	1.00217i
$475$	0.629763	−	0.287603i	0.0288955	−	0.0131961i
$476$	−10.6659	+	17.2880i	−0.488871	+	0.792393i
$477$	−8.35218	+	1.41994i	−0.382420	+	0.0650147i
$478$	9.94960	+	28.7475i	0.455084	+	1.31488i
$479$	−19.3645	−	18.4640i	−0.884785	−	0.843641i	0.103755	−	0.994603i	$-0.466914\pi$
$479$	−19.3645	−	18.4640i	−0.884785	−	0.843641i	−0.988540	+	0.150962i	$0.951763\pi$
$480$	26.7254	+	13.3477i	1.21984	+	0.609237i
$481$	5.95731	−	14.8806i	0.271630	−	0.678499i
$482$	−3.65844			−0.166637
$483$	−21.2545	−	5.58998i	−0.967112	−	0.254353i
$484$	57.0282			2.59219
$485$	−3.44542	+	8.60625i	−0.156449	+	0.390790i
$486$	−36.1292	+	17.2211i	−1.63885	+	0.781165i
$487$	−4.63798	−	4.42231i	−0.210167	−	0.200394i	0.577683	−	0.816261i	$-0.303957\pi$
$487$	−4.63798	−	4.42231i	−0.210167	−	0.200394i	−0.787850	+	0.615868i	$0.788806\pi$
$488$	−7.72307	−	22.3143i	−0.349607	−	1.01012i
$489$	16.9471	−	15.0688i	0.766373	−	0.681434i
$490$	44.1518	+	4.69720i	1.99457	+	0.212198i
$491$	−23.5032	+	10.7335i	−1.06068	+	0.484398i	−0.867846	−	0.496833i	$-0.834496\pi$
$491$	−23.5032	+	10.7335i	−1.06068	+	0.484398i	−0.192837	+	0.981231i	$0.561769\pi$
$492$	19.1997	−	49.7965i	0.865590	−	2.24500i
$493$	−4.20204	−	0.200168i	−0.189250	−	0.00901510i
$494$	4.00359	+	10.0005i	0.180130	+	0.449943i
$495$	−35.0601	−	7.56083i	−1.57583	−	0.339834i
$496$	39.3180	−	61.1801i	1.76543	−	2.74707i
$497$	−6.79392	+	0.775161i	−0.304749	+	0.0347707i
$498$	7.07376	−	54.1065i	0.316983	−	2.42457i
$499$	0.414180	+	8.69470i	0.0185412	+	0.389228i	0.988996	+	0.147944i	$0.0472656\pi$
$499$	0.414180	+	8.69470i	0.0185412	+	0.389228i	−0.970454	+	0.241284i	$0.922431\pi$
$500$	10.4223	+	42.9613i	0.466099	+	1.92129i
$501$	21.9310	−	23.5981i	0.979805	−	1.05428i
$502$	−29.9093	−	7.25591i	−1.33492	−	0.323847i
$503$	9.27021	−	20.2989i	0.413338	−	0.905084i	−0.582404	−	0.812900i	$-0.697888\pi$
$503$	9.27021	−	20.2989i	0.413338	−	0.905084i	0.995742	−	0.0921847i	$-0.0293850\pi$
$504$	45.6525	+	26.5768i	2.03352	+	1.18382i
$505$	11.9071			0.529861
$506$	−13.8871	−	57.9471i	−0.617358	−	2.57606i
$507$	−54.8746	−	1.91044i	−2.43707	−	0.0848454i
$508$	57.9087	−	45.5399i	2.56929	−	2.02051i
$509$	20.1034	+	28.2313i	0.891070	+	1.25133i	0.967144	+	0.254230i	$0.0818221\pi$
$509$	20.1034	+	28.2313i	0.891070	+	1.25133i	−0.0760740	+	0.997102i	$0.524239\pi$
$510$	17.6893	+	4.94902i	0.783296	+	0.219146i
$511$	−13.7377	+	13.5903i	−0.607722	+	0.601200i
$512$	−14.0930	+	47.9963i	−0.622828	+	2.12116i
$513$	3.25544	+	0.185114i	0.143731	+	0.00817297i
$514$	8.32747	+	5.92997i	0.367309	+	0.261560i
$515$	32.6448	+	11.2985i	1.43850	+	0.497870i
$516$	−0.438279	+	5.30685i	−0.0192942	+	0.233621i
$517$	−20.8825	−	3.00245i	−0.918411	−	0.132048i
$518$	−3.54755	+	15.8945i	−0.155871	+	0.698366i
$519$	−12.0194	+	5.67609i	−0.527592	+	0.249153i
$520$	107.942	−	20.8040i	4.73355	−	0.912317i
$521$	17.0748	−	23.9782i	0.748060	−	1.05050i	−0.248582	−	0.968611i	$-0.579964\pi$
$521$	17.0748	−	23.9782i	0.748060	−	1.05050i	0.996641	−	0.0818918i	$-0.0260962\pi$
$522$	−0.426359	+	19.3758i	−0.0186612	+	0.848056i
$523$	19.5359	+	20.4886i	0.854245	+	0.895906i	0.995567	−	0.0940577i	$-0.0299838\pi$
$523$	19.5359	+	20.4886i	0.854245	+	0.895906i	−0.141322	+	0.989964i	$0.545135\pi$
$524$	18.7726	−	21.6647i	0.820085	−	0.946428i
$525$	−0.875302	−	4.97947i	−0.0382013	−	0.217322i
$526$	−29.3018	+	64.1621i	−1.27762	+	2.79760i
$527$	5.71796	−	14.2828i	0.249078	−	0.622167i
$528$	−2.30490	+	66.2050i	−0.100308	+	2.88120i
$529$	−20.5016	+	10.4252i	−0.891373	+	0.453271i
$530$	8.95633	−	15.5128i	0.389038	−	0.673834i
$531$	−21.4253	+	14.5573i	−0.929778	+	0.631733i
$532$	−3.93295	−	6.53144i	−0.170515	−	0.283174i
$533$	−12.6391	−	43.0448i	−0.547460	−	1.86448i
$534$	1.68642	−	7.36150i	0.0729784	−	0.318563i
$535$	32.6390	−	7.91813i	1.41111	−	0.342331i
$536$	−10.9979	+	21.3330i	−0.475039	+	0.921447i
$537$	17.6531	+	13.5205i	0.761789	+	0.583454i
$538$	−23.3574	+	20.2393i	−1.00701	+	0.872580i
$539$	10.7334	+	32.1296i	0.462321	+	1.38392i
$540$	14.4243	−	57.1571i	0.620724	−	2.45965i
$541$	−12.5996	−	9.90846i	−0.541701	−	0.425998i	0.309453	−	0.950915i	$-0.399854\pi$
$541$	−12.5996	−	9.90846i	−0.541701	−	0.425998i	−0.851154	+	0.524917i	$0.824096\pi$
$542$	−1.41772	+	29.7617i	−0.0608965	+	1.27837i
$543$	−26.4055	+	21.3181i	−1.13317	+	0.914848i
$544$	1.10953	−	11.6196i	0.0475708	−	0.498184i
$545$	−24.4465	+	15.7108i	−1.04717	+	0.672978i
$546$	78.0373	−	9.91715i	3.33969	−	0.424415i
$547$	3.31664	−	3.82760i	0.141809	−	0.163656i	−0.680402	−	0.732839i	$-0.738195\pi$
$547$	3.31664	−	3.82760i	0.141809	−	0.163656i	0.822211	+	0.569183i	$0.192740\pi$
$548$	35.6331	+	8.64450i	1.52217	+	0.369275i
$549$	−9.07873	+	5.55620i	−0.387471	+	0.237133i
$550$	10.7753	−	8.47376i	0.459459	−	0.361322i
$551$	0.789461	−	1.36739i	0.0336322	−	0.0582526i
$552$	54.1766	−	11.0056i	2.30591	−	0.468428i
$553$	32.5412	−	15.5911i	1.38379	−	0.663003i
$554$	−36.4484	+	5.24049i	−1.54855	+	0.222647i
$555$	10.2398	−	0.619230i	0.434656	−	0.0262849i
$556$	−24.3070	+	25.4925i	−1.03085	+	1.08112i
$557$	3.62569	−	18.8119i	0.153625	−	0.797084i	−0.820599	−	0.571504i	$-0.806360\pi$
$557$	3.62569	−	18.8119i	0.153625	−	0.797084i	0.974225	−	0.225580i	$-0.0724277\pi$
$558$	−66.4526	−	24.6495i	−2.81316	−	1.04350i
$559$	2.41995	+	3.76552i	0.102353	+	0.159264i
$560$	−48.4981	+	17.7914i	−2.04942	+	0.751826i
$561$	2.17178	+	13.8447i	0.0916926	+	0.584524i
$562$	−2.13938	+	1.10293i	−0.0902444	+	0.0465242i
$563$	−23.0645	+	9.23364i	−0.972054	+	0.389152i	−0.802686	−	0.596401i	$-0.796597\pi$
$563$	−23.0645	+	9.23364i	−0.972054	+	0.389152i	−0.169367	+	0.985553i	$0.554172\pi$
$564$	6.12599	−	34.1297i	0.257951	−	1.43712i
$565$	1.63079	+	3.16329i	0.0686078	+	0.133081i
$566$	−47.7057	−	55.0553i	−2.00522	−	2.31415i
$567$	7.29111	−	22.6680i	0.306198	−	0.951968i
$568$	14.4702	−	9.29945i	0.607157	−	0.390196i
$569$	21.8728	+	22.9396i	0.916956	+	0.961676i	0.999390	−	0.0349203i	$-0.0111177\pi$
$569$	21.8728	+	22.9396i	0.916956	+	0.961676i	−0.0824336	+	0.996597i	$0.526269\pi$
$570$	−4.69329	+	5.05005i	−0.196580	+	0.211523i
$571$	3.15910	+	3.01219i	0.132204	+	0.126056i	0.753297	−	0.657681i	$-0.228462\pi$
$571$	3.15910	+	3.01219i	0.132204	+	0.126056i	−0.621093	+	0.783737i	$0.713311\pi$
$572$	86.1836	+	121.028i	3.60352	+	5.06043i
$573$	−6.02040	+	13.6423i	−0.251506	+	0.569914i
$574$	19.6948	+	41.1062i	0.822045	+	1.71574i
$575$	−4.14996	−	3.28230i	−0.173065	−	0.136882i
$576$	−6.33860	−	0.441887i	−0.264108	−	0.0184120i
$577$	−9.02506	−	11.4763i	−0.375718	−	0.477765i	0.561016	−	0.827805i	$-0.310410\pi$
$577$	−9.02506	−	11.4763i	−0.375718	−	0.477765i	−0.936735	+	0.350040i	$0.886168\pi$
$578$	3.46675	+	36.3054i	0.144198	+	1.51011i
$579$	−32.0396	−	32.7524i	−1.33152	−	1.36114i
$580$	−21.5727	−	18.6928i	−0.895757	−	0.776178i
$581$	20.5343	+	25.1450i	0.851908	+	1.04319i
$582$	−0.213581	−	16.6859i	−0.00885322	−	0.691654i
$583$	13.6043	+	1.29905i	0.563433	+	0.0538013i
$584$	15.8985	−	45.9358i	0.657887	−	1.90084i
$585$	−19.5881	−	45.5161i	−0.809867	−	1.88186i
$586$	19.0741	−	24.2547i	0.787944	−	1.00195i
$587$	−1.89400	+	13.1731i	−0.0781737	+	0.543710i	0.912670	+	0.408697i	$0.134017\pi$
$587$	−1.89400	+	13.1731i	−0.0781737	+	0.543710i	−0.990844	+	0.135013i	$0.956892\pi$
$588$	−53.3896	+	15.7933i	−2.20175	+	0.651303i
$589$	3.78137	+	4.36394i	0.155809	+	0.179813i
$590$	5.20595	−	54.5192i	0.214326	−	2.24452i
$591$	12.9876	+	21.8446i	0.534237	+	0.898565i
$592$	−4.46707	−	18.4135i	−0.183595	−	0.756790i
$593$	−1.64015	−	4.73891i	−0.0673530	−	0.194604i	0.906302	−	0.422631i	$-0.138894\pi$
$593$	−1.64015	−	4.73891i	−0.0673530	−	0.194604i	−0.973655	+	0.228028i	$0.926772\pi$
$594$	63.5049	−	11.6346i	2.60564	−	0.477372i
$595$	−9.36199	+	5.63739i	−0.383804	+	0.231110i
$596$	−10.0987	+	1.45198i	−0.413661	+	0.0594754i
$597$	15.3980	−	8.18933i	0.630196	−	0.335167i
$598$	54.0849	−	62.0673i	2.21170	−	2.53812i
$599$	−31.6232	+	18.2576i	−1.29209	+	0.745987i	−0.979024	−	0.203745i	$-0.934688\pi$
$599$	−31.6232	+	18.2576i	−1.29209	+	0.745987i	−0.313063	+	0.949732i	$0.601355\pi$
$600$	7.50902	+	10.2643i	0.306554	+	0.419039i
$601$	−3.03114	−	1.38428i	−0.123643	−	0.0564658i	0.352633	−	0.935762i	$-0.385286\pi$
$601$	−3.03114	−	1.38428i	−0.123643	−	0.0564658i	−0.476276	+	0.879296i	$0.658014\pi$
$602$	−3.04092	−	3.38160i	−0.123939	−	0.137824i
$603$	10.4553	+	2.78134i	0.425773	+	0.113265i
$604$	−21.4887	+	20.4895i	−0.874364	+	0.833705i
$605$	27.2696	+	14.0585i	1.10867	+	0.571558i
$606$	−19.7949	+	8.22017i	−0.804112	+	0.333922i
$607$	1.40465	+	7.28802i	0.0570130	+	0.295812i	0.999232	−	0.0391862i	$-0.0124766\pi$
$607$	1.40465	+	7.28802i	0.0570130	+	0.295812i	−0.942219	+	0.334998i	$0.891264\pi$
$608$	3.68550	+	2.36852i	0.149467	+	0.0960563i
$609$	−8.21331	−	8.09256i	−0.332820	−	0.327927i
$610$	3.20278	−	22.2758i	0.129677	−	0.901923i
$611$	−13.3562	−	25.9074i	−0.540335	−	1.04810i
$612$	−22.8654	+	2.77562i	−0.924280	+	0.112198i
$613$	−7.07516	+	9.93567i	−0.285763	+	0.401298i	−0.932358	−	0.361535i	$-0.882253\pi$
$613$	−7.07516	+	9.93567i	−0.285763	+	0.401298i	0.646596	+	0.762833i	$0.276192\pi$
$614$	−1.38817	−	29.1412i	−0.0560219	−	1.17604i
$615$	21.4566	−	19.0785i	0.865213	−	0.769318i
$616$	−59.9278	−	60.5779i	−2.41456	−	2.44075i
$617$	10.7989	+	36.7777i	0.434748	+	1.48061i	0.827761	+	0.561081i	$0.189614\pi$
$617$	10.7989	+	36.7777i	0.434748	+	1.48061i	−0.393013	+	0.919533i	$0.628567\pi$
$618$	−62.0698	+	3.75354i	−2.49682	+	0.150989i
$619$	−10.7598	−	13.6821i	−0.432471	−	0.549932i	0.520157	−	0.854071i	$-0.325874\pi$
$619$	−10.7598	−	13.6821i	−0.432471	−	0.549932i	−0.952628	+	0.304139i	$0.901631\pi$
$620$	90.4059	−	52.1959i	3.63079	−	2.09624i
$621$	−10.0797	−	22.7904i	−0.404483	−	0.914546i
$622$			6.67934i			0.267817i
$623$	2.49832	+	3.73452i	0.100093	+	0.149620i
$624$	−76.3546	+	50.4626i	−3.05663	+	2.02012i
$625$	−6.90754	+	28.4732i	−0.276301	+	1.13893i
$626$	−31.4841	−	6.06807i	−1.25836	−	0.242529i
$627$	−4.99215	−	1.65656i	−0.199367	−	0.0661567i
$628$	3.05061	−	0.145319i	0.121733	−	0.00579884i
$629$	−1.66512	−	3.64610i	−0.0663927	−	0.145380i
$630$	27.0666	+	42.4513i	1.07836	+	1.69130i
$631$	−39.3318	−	25.2770i	−1.56577	−	1.00626i	−0.980755	−	0.195240i	$-0.937451\pi$
$631$	−39.3318	−	25.2770i	−1.56577	−	1.00626i	−0.585018	−	0.811021i	$-0.698912\pi$
$632$	−56.1084	+	71.3476i	−2.23187	+	2.83805i
$633$	6.22508	−	34.6818i	0.247425	−	1.37848i
$634$	−1.24677	+	26.1730i	−0.0495157	+	1.03946i
$635$	38.9170	−	7.50065i	1.54438	−	0.297654i
$636$	−2.91179	+	22.2720i	−0.115460	+	0.883144i
$637$	−27.5571	+	37.8280i	−1.09185	+	1.49880i
$638$	8.80770	−	29.9963i	0.348700	−	1.18756i
$639$	−5.49245	−	5.47272i	−0.217278	−	0.216498i
$640$	−14.5332	+	15.2420i	−0.574474	+	0.602491i
$641$	−2.66118	−	27.8691i	−0.105110	−	1.10077i	−0.882039	−	0.471176i	$-0.843830\pi$
$641$	−2.66118	−	27.8691i	−0.105110	−	1.10077i	0.776929	−	0.629589i	$-0.216777\pi$
$642$	−48.7940	+	35.6959i	−1.92574	+	1.40881i
$643$			29.8935i			1.17888i	0.807810	+	0.589442i	$0.200652\pi$
$643$			29.8935i			1.17888i	−0.807810	+	0.589442i	$0.799348\pi$
$644$	−30.7323	+	49.5039i	−1.21102	+	1.95073i
$645$	−1.51781	+	2.42957i	−0.0597636	+	0.0956644i
$646$	2.50082	+	1.00118i	0.0983936	+	0.0393908i
$647$	25.7098	−	2.45499i	1.01076	−	0.0965155i	0.423483	−	0.905904i	$-0.360807\pi$
$647$	25.7098	−	2.45499i	1.01076	−	0.0965155i	0.587274	+	0.809389i	$0.300201\pi$
$648$	8.73759	+	59.2571i	0.343245	+	2.32784i
$649$	39.4857	−	13.6661i	1.54995	−	0.536443i
$650$	18.1717	+	5.33569i	0.712752	+	0.209283i
$651$	37.7920	−	18.7053i	1.48118	−	0.733120i
$652$	−24.9765	−	54.6909i	−0.978155	−	2.14186i
$653$	4.68964	+	24.3322i	0.183520	+	0.952192i	0.950548	+	0.310578i	$0.100523\pi$
$653$	4.68964	+	24.3322i	0.183520	+	0.952192i	−0.767028	+	0.641614i	$0.778265\pi$
$654$	29.7947	−	42.9951i	1.16507	−	1.68124i
$655$	14.3174	−	5.73181i	0.559426	−	0.223960i
$656$	−41.6854	−	32.7817i	−1.62754	−	1.27991i
$657$	−21.7612	−	2.56217i	−0.848985	−	0.0999599i
$658$	17.6192	+	23.8031i	0.686869	+	0.927942i
$659$	−45.0657	+	20.5808i	−1.75551	+	0.801715i	−0.768748	+	0.639552i	$0.779120\pi$
$659$	−45.0657	+	20.5808i	−1.75551	+	0.801715i	−0.986764	+	0.162164i	$0.948153\pi$
$660$	−46.4873	+	82.9526i	−1.80952	+	3.22892i
$661$	10.6557	−	2.58504i	0.414458	−	0.100546i	−0.0231074	−	0.999733i	$-0.507356\pi$
$661$	10.6557	−	2.58504i	0.414458	−	0.100546i	0.437565	+	0.899187i	$0.355841\pi$
$662$	3.86478	−	20.0524i	0.150209	−	0.779358i
$663$	−13.8405	+	13.5393i	−0.537519	+	0.525821i
$664$	−74.2833	−	33.9240i	−2.88275	−	1.31651i
$665$	−0.270535	−	4.09273i	−0.0104909	−	0.158709i
$666$	−16.5956	+	8.09855i	−0.643065	+	0.313813i
$667$	−12.0516	−	0.607717i	−0.466639	−	0.0235309i
$668$	−42.7059	−	73.9688i	−1.65234	−	2.86194i
$669$	3.35398	−	0.363642i	0.129672	−	0.0140592i
$670$	−18.6332	+	13.2687i	−0.719865	+	0.512613i
$671$	16.4743	−	4.83729i	0.635983	−	0.186741i
$672$	23.5130	−	21.6948i	0.907032	−	0.836897i
$673$	−43.4305	−	12.7524i	−1.67412	−	0.491567i	−0.699354	−	0.714776i	$-0.746529\pi$
$673$	−43.4305	−	12.7524i	−1.67412	−	0.491567i	−0.974771	+	0.223208i	$0.928347\pi$
$674$	−47.8645	+	2.28007i	−1.84367	+	0.0878248i
$675$	3.79387	−	4.29780i	0.146026	−	0.165422i
$676$	−47.6130	+	137.569i	−1.83127	+	5.29111i
$677$	−30.1596	+	15.5484i	−1.15913	+	0.597572i	−0.926981	−	0.375109i	$-0.877605\pi$
$677$	−30.1596	+	15.5484i	−1.15913	+	0.597572i	−0.232147	+	0.972681i	$0.574575\pi$
$678$	−4.89488	−	4.13295i	−0.187987	−	0.158725i
$679$	7.31010	+	6.71770i	0.280536	+	0.257802i
$680$	14.8621	−	23.1258i	0.569935	−	0.886836i
$681$	10.5578	−	27.3827i	0.404575	−	1.04931i
$682$	93.1316	+	66.3187i	3.56619	+	2.53947i
$683$	−9.46937	+	18.3680i	−0.362335	+	0.702833i	−0.997584	−	0.0694754i	$-0.977867\pi$
$683$	−9.46937	+	18.3680i	−0.362335	+	0.702833i	0.635248	+	0.772308i	$0.280898\pi$
$684$	3.00654	−	8.10534i	0.114958	−	0.309915i
$685$	14.9079	+	12.9178i	0.569603	+	0.493564i
$686$	21.4666	−	42.4297i	0.819599	−	1.61998i
$687$	−14.1131	+	9.32734i	−0.538450	+	0.355860i
$688$	4.91214	+	1.96652i	0.187274	+	0.0749730i
$689$	9.44050	+	16.3514i	0.359654	+	0.622940i
$690$	50.7007	+	14.3371i	1.93014	+	0.545804i
$691$	37.5730	+	21.6928i	1.42934	+	0.825232i	0.997069	−	0.0765100i	$-0.0243777\pi$
$691$	37.5730	+	21.6928i	1.42934	+	0.825232i	0.432275	+	0.901742i	$0.357711\pi$
$692$	5.01535	+	34.8825i	0.190655	+	1.32603i
$693$	−20.8824	+	32.2382i	−0.793258	+	1.22463i
$694$	29.1409	−	8.55655i	1.10618	−	0.324802i
$695$	−17.9074	+	6.19781i	−0.679267	+	0.235096i
$696$	27.5281	+	9.13475i	1.04345	+	0.346252i
$697$	−9.97154	−	5.14068i	−0.377699	−	0.194717i
$698$	34.6095	+	3.30480i	1.30999	+	0.125089i
$699$	−0.0773453	−	0.493062i	−0.00292547	−	0.0186493i
$700$	−13.3007	−	1.66312i	−0.502721	−	0.0628601i
$701$	24.1306	+	3.46946i	0.911402	+	0.131040i	0.582036	−	0.813163i	$-0.302256\pi$
$701$	24.1306	+	3.46946i	0.911402	+	0.131040i	0.329365	+	0.944203i	$0.393165\pi$
$702$	63.9863	+	62.1449i	2.41501	+	2.34551i
$703$	1.50273	+	0.0715837i	0.0566764	+	0.00269983i
$704$	9.68587	+	3.35231i	0.365050	+	0.126345i
$705$	11.3429	−	14.8099i	0.427198	−	0.557773i
$706$	21.9841	+	34.2080i	0.827383	+	1.28743i
$707$	4.52072	−	11.9237i	0.170019	−	0.448436i
$708$	20.1899	+	65.6404i	0.758781	+	2.46692i
$709$	12.1986	−	50.2831i	0.458126	−	1.88842i	−0.000898823	−	1.00000i	$-0.500286\pi$
$709$	12.1986	−	50.2831i	0.458126	−	1.88842i	0.459025	−	0.888423i	$-0.348199\pi$
$710$	16.3193	−	1.55831i	0.612454	−	0.0584823i
$711$	36.8345	+	17.8113i	1.38140	+	0.667974i
$712$	−9.78812	−	5.65117i	−0.366825	−	0.211787i
$713$	16.5155	−	40.9232i	0.618510	−	1.53259i
$714$	11.6719	−	15.8349i	0.436810	−	0.592607i
$715$	11.3755	+	79.1186i	0.425421	+	2.95887i
$716$	48.0220	−	34.1963i	1.79467	−	1.27798i
$717$	−5.09306	−	19.8798i	−0.190204	−	0.742424i
$718$	−80.0441	−	15.4272i	−2.98722	−	0.575739i
$719$	15.3811	−	14.6659i	0.573618	−	0.546944i	−0.346770	−	0.937950i	$-0.612721\pi$
$719$	15.3811	−	14.6659i	0.573618	−	0.546944i	0.920388	+	0.391006i	$0.127873\pi$
$720$	−50.0711	−	30.3965i	−1.86604	−	1.13281i
$721$	23.7082	−	28.4005i	0.882941	−	1.05769i
$722$	36.1034	−	31.2838i	1.34363	−	1.16426i
$723$	2.45962	+	0.203134i	0.0914743	+	0.00755462i
$724$	33.4406	+	83.5306i	1.24281	+	3.10439i
$725$	−1.03172	−	2.57711i	−0.0383171	−	0.0957115i
$726$	−55.0394	−	4.54556i	−2.04270	−	0.168702i
$727$	18.9809	−	16.4470i	0.703963	−	0.609987i	−0.227520	−	0.973773i	$-0.573062\pi$
$727$	18.9809	−	16.4470i	0.703963	−	0.609987i	0.931482	+	0.363786i	$0.118516\pi$
$728$	20.1487	−	115.990i	0.746761	−	4.29888i
$729$	25.2464	−	9.57191i	0.935050	−	0.354515i
$730$	33.5293	−	31.9701i	1.24097	−	1.18327i
$731$	1.09911	+	0.211835i	0.0406519	+	0.00783501i
$732$	7.00359	+	27.3372i	0.258860	+	1.01041i
$733$	27.5406	−	19.6116i	1.01724	−	0.724370i	0.0555304	−	0.998457i	$-0.482315\pi$
$733$	27.5406	−	19.6116i	1.01724	−	0.724370i	0.961705	+	0.274087i	$0.0883756\pi$
$734$	−6.24004	−	43.4005i	−0.230324	−	1.60194i
$735$	−29.4230	−	5.60950i	−1.08528	−	0.206910i
$736$	3.27538	−	33.3208i	0.120732	−	1.22822i
$737$	−15.1138	−	8.72598i	−0.556726	−	0.321426i
$738$	−22.4993	+	46.5295i	−0.828209	+	1.71277i
$739$	41.8954	−	4.00053i	1.54115	−	0.147162i	0.710395	−	0.703803i	$-0.248516\pi$
$739$	41.8954	−	4.00053i	1.54115	−	0.147162i	0.830753	+	0.556641i	$0.187910\pi$
$740$	6.41218	−	26.4314i	0.235716	−	0.971636i
$741$	−2.13640	−	6.94576i	−0.0784825	−	0.255159i
$742$	−12.1340	−	14.8584i	−0.445452	−	0.545471i
$743$	−3.89007	−	6.05307i	−0.142713	−	0.222066i	0.762538	−	0.646944i	$-0.223953\pi$
$743$	−3.89007	−	6.05307i	−0.142713	−	0.222066i	−0.905250	+	0.424878i	$0.860317\pi$
$744$	−64.4968	+	84.2106i	−2.36457	+	3.08731i
$745$	−5.18693	−	1.79521i	−0.190034	−	0.0657716i
$746$	−23.4992	−	1.11940i	−0.860367	−	0.0409843i
$747$	−7.76003	+	35.9838i	−0.283925	+	1.31658i
$748$	36.7767	+	5.28769i	1.34469	+	0.193337i
$749$	4.46275	−	35.6906i	0.163065	−	1.30411i
$750$	−6.63450	−	42.2938i	−0.242258	−	1.54435i
$751$	−52.0871	−	4.97371i	−1.90068	−	0.181493i	−0.922045	−	0.387082i	$-0.873483\pi$
$751$	−52.0871	−	4.97371i	−1.90068	−	0.181493i	−0.978639	+	0.205589i	$0.934089\pi$
$752$	−30.6251	−	15.7883i	−1.11678	−	0.575741i
$753$	19.7055	+	6.53895i	0.718110	+	0.238293i
$754$	40.8164	−	14.1267i	1.48645	−	0.514464i
$755$	−15.3264	+	4.50025i	−0.557786	+	0.163781i
$756$	−51.7601	−	36.1449i	−1.88250	−	1.31458i
$757$	5.29664	+	36.8390i	0.192510	+	1.33893i	0.825337	+	0.564641i	$0.190985\pi$
$757$	5.29664	+	36.8390i	0.192510	+	1.33893i	−0.632827	+	0.774293i	$0.718106\pi$
$758$	−26.3972	−	15.2404i	−0.958788	−	0.553557i
$759$	6.11901	+	39.7297i	0.222106	+	1.44210i
$760$	5.15881	+	8.93532i	0.187130	+	0.324118i
$761$	3.16349	+	1.26647i	0.114676	+	0.0459095i	0.428291	−	0.903641i	$-0.359116\pi$
$761$	3.16349	+	1.26647i	0.114676	+	0.0459095i	−0.313615	+	0.949550i	$0.601540\pi$
$762$	−59.5190	+	39.3360i	−2.15615	+	1.42499i
$763$	6.45116	+	30.4453i	0.233548	+	1.10219i
$764$	29.8783	+	25.8897i	1.08096	+	0.936656i
$765$	−11.6180	−	4.30949i	−0.420049	−	0.155810i
$766$	−10.0868	+	19.5657i	−0.364451	+	0.706936i
$767$	47.0237	+	33.4854i	1.69793	+	1.20909i
$768$	16.2776	−	42.2176i	0.587366	−	1.52340i
$769$	−24.0862	+	37.4788i	−0.868569	+	1.35152i	0.0667708	+	0.997768i	$0.478730\pi$
$769$	−24.0862	+	37.4788i	−0.868569	+	1.35152i	−0.935340	+	0.353751i	$0.884906\pi$
$770$	−24.3105	−	77.4888i	−0.876091	−	2.79250i
$771$	−5.26941	−	4.44918i	−0.189773	−	0.160233i
$772$	−107.971	+	55.6629i	−3.88596	+	2.00335i
$773$	4.72500	−	13.6520i	0.169947	−	0.491028i	−0.827578	−	0.561351i	$-0.810282\pi$
$773$	4.72500	−	13.6520i	0.169947	−	0.491028i	0.997524	+	0.0703228i	$0.0224029\pi$
$774$	0.845989	−	5.08684i	0.0304084	−	0.182843i
$775$	10.1405	−	0.483053i	0.364259	−	0.0173518i
$776$	−23.9620	−	7.03587i	−0.860185	−	0.252573i
$777$	3.26761	−	10.4891i	0.117225	−	0.376296i
$778$	28.9975	−	8.51444i	1.03961	−	0.305258i
$779$	3.42990	−	2.44242i	0.122889	−	0.0875087i
$780$	−130.610	+	14.1609i	−4.67659	+	0.507041i
$781$	6.25362	+	10.8316i	0.223772	+	0.387584i
$782$	−1.89988	−	20.4994i	−0.0679396	−	0.733055i
$783$	1.36248	−	13.0030i	0.0486911	−	0.464688i
$784$	−0.596885	+	55.3203i	−0.0213173	+	1.97572i
$785$	1.49456	+	0.682542i	0.0533431	+	0.0243610i
$786$	−19.8447	+	19.4129i	−0.707839	+	0.692434i
$787$	−5.83707	+	30.2856i	−0.208069	+	1.07957i	0.716221	+	0.697874i	$0.245870\pi$
$787$	−5.83707	+	30.2856i	−0.208069	+	1.07957i	−0.924290	+	0.381692i	$0.875342\pi$
$788$	65.4794	−	15.8851i	2.33261	−	0.565885i
$789$	23.2626	−	41.5101i	0.828170	−	1.47780i
$790$	−78.6898	+	35.9364i	−2.79966	+	1.27856i
$791$	3.78684	−	0.432065i	0.134645	−	0.0153625i
$792$	11.2982	−	95.9581i	0.401462	−	3.40972i
$793$	18.6464	+	14.6637i	0.662152	+	0.520722i
$794$	−46.3465	+	18.5543i	−1.64477	+	0.658468i
$795$	−6.88280	+	9.93218i	−0.244108	+	0.352258i
$796$	−8.75073	−	45.4031i	−0.310161	−	1.60927i
$797$	5.35237	+	11.7201i	0.189591	+	0.415146i	0.980427	−	0.196882i	$-0.0630814\pi$
$797$	5.35237	+	11.7201i	0.189591	+	0.415146i	−0.790836	+	0.612028i	$0.790354\pi$
$798$	3.27519	+	6.61714i	0.115940	+	0.234244i
$799$	−6.99370	−	2.05353i	−0.247419	−	0.0726488i
$800$	7.27869	−	2.51918i	0.257341	−	0.0890665i
$801$	−1.54255	+	4.85560i	−0.0545032	+	0.171564i
$802$	40.1634	−	3.83514i	1.41822	−	0.135424i
$803$	32.8135	+	13.1365i	1.15796	+	0.463578i
$804$	15.1975	−	24.3269i	0.535976	−	0.857943i
$805$	−26.8990	+	16.0956i	−0.948067	+	0.567295i
$806$			157.958i			5.56385i
$807$	16.8273	−	12.3103i	0.592349	−	0.433342i
$808$	3.04912	+	31.9318i	0.107268	+	1.12336i
$809$	19.6694	−	20.6287i	0.691540	−	0.725266i	−0.280559	−	0.959837i	$-0.590520\pi$
$809$	19.6694	−	20.6287i	0.691540	−	0.725266i	0.972099	+	0.234570i	$0.0753683\pi$
$810$	−18.4771	+	54.0140i	−0.649219	+	1.89786i
$811$	5.65621	−	19.2633i	0.198616	−	0.676425i	−0.798600	−	0.601862i	$-0.794426\pi$
$811$	5.65621	−	19.2633i	0.198616	−	0.676425i	0.997216	−	0.0745630i	$-0.0237562\pi$
$812$	−26.9092	+	14.5056i	−0.944328	+	0.509048i
$813$	2.60566	−	19.9305i	0.0913846	−	0.698992i
$814$	29.2494	−	5.63736i	1.02519	−	0.197589i
$815$	1.53907	−	32.3091i	0.0539113	−	1.13174i
$816$	−4.04344	+	22.5272i	−0.141549	+	0.788610i
$817$	−0.259698	+	0.330233i	−0.00908568	+	0.0115534i
$818$	53.2960	+	34.2513i	1.86345	+	1.19757i
$819$	−53.0162	+	2.33444i	−1.85254	+	0.0815719i
$820$	−31.6226	−	69.2438i	−1.10431	−	2.41810i
$821$	−45.3181	+	2.15877i	−1.58161	+	0.0753415i	−0.819874	−	0.572544i	$-0.805957\pi$
$821$	−45.3181	+	2.15877i	−1.58161	+	0.0753415i	−0.761738	+	0.647885i	$0.775654\pi$
$822$	−33.7014	−	11.1832i	−1.17547	−	0.390060i
$823$	8.70344	+	1.67745i	0.303383	+	0.0584723i	0.338671	−	0.940905i	$-0.390023\pi$
$823$	8.70344	+	1.67745i	0.303383	+	0.0584723i	−0.0352879	+	0.999377i	$0.511235\pi$
$824$	−21.9400	+	90.4379i	−0.764316	+	3.15055i
$825$	−7.71486	+	5.09873i	−0.268597	+	0.177515i
$826$	−52.6184	−	25.9122i	−1.83083	−	0.901601i
$827$		−	5.84768i		−	0.203344i	−0.994818	−	0.101672i	$-0.967581\pi$
$827$		−	5.84768i		−	0.203344i	0.994818	−	0.101672i	$-0.0324192\pi$
$828$	−65.6096	+	7.77905i	−2.28009	+	0.270341i
$829$	15.8197	−	9.13351i	0.549441	−	0.317220i	−0.199456	−	0.979907i	$-0.563917\pi$
$829$	15.8197	−	9.13351i	0.549441	−	0.317220i	0.748896	+	0.662687i	$0.230584\pi$
$830$	−48.1117	−	61.1790i	−1.66998	−	2.12355i
$831$	24.7957	−	1.49947i	0.860155	−	0.0520160i
$832$	3.98952	+	13.5871i	0.138312	+	0.471047i
$833$	2.09080	+	11.5153i	0.0724420	+	0.398982i
$834$	25.4912	−	22.6660i	0.882690	−	0.784859i
$835$	−2.18639	−	45.8980i	−0.0756631	−	1.58836i
$836$	−8.08901	+	11.3594i	−0.279764	+	0.392874i
$837$	43.3083	+	20.2619i	1.49696	+	0.700355i
$838$	−17.7423	−	34.4152i	−0.612897	−	1.18885i
$839$	3.57812	−	24.8863i	0.123530	−	0.859172i	−0.829976	−	0.557799i	$-0.811646\pi$
$839$	3.57812	−	24.8863i	0.123530	−	0.859172i	0.953506	−	0.301373i	$-0.0974449\pi$
$840$	72.6321	−	20.0393i	2.50605	−	0.691422i
$841$	19.0705	+	12.2559i	0.657603	+	0.422616i
$842$	−7.22843	−	37.5047i	−0.249108	−	1.29250i
$843$	1.49958	−	0.622725i	0.0516481	−	0.0214478i
$844$	−83.0351	−	42.8076i	−2.85819	−	1.47350i
$845$	−56.6806	+	54.0448i	−1.94987	+	1.85920i
$846$	−8.63273	+	32.4512i	−0.296799	+	1.11569i
$847$	24.4313	−	21.9700i	0.839470	−	0.754898i
$848$	20.3022	+	9.27171i	0.697181	+	0.318392i
$849$	29.0162	+	39.6632i	0.995835	+	1.36124i
$850$	4.10153	−	2.36802i	0.140681	−	0.0812224i
$851$	−4.74714	−	10.4718i	−0.162730	−	0.358970i
$852$	−18.1495	+	9.65273i	−0.621791	+	0.330697i
$853$	12.3553	−	1.77643i	0.423039	−	0.0608238i	0.0724919	−	0.997369i	$-0.476905\pi$
$853$	12.3553	−	1.77643i	0.423039	−	0.0608238i	0.350547	+	0.936545i	$0.385996\pi$
$854$	−21.0908	−	11.6646i	−0.721713	−	0.399154i
$855$	3.43577	−	3.13463i	0.117501	−	0.107202i
$856$	29.5924	+	85.5016i	1.01145	+	2.92238i
$857$	−5.78493	−	23.8458i	−0.197609	−	0.814557i	−0.981155	−	0.193223i	$-0.938106\pi$
$857$	−5.78493	−	23.8458i	−0.197609	−	0.814557i	0.783546	−	0.621334i	$-0.213409\pi$
$858$	−73.5312	−	123.677i	−2.51031	−	4.22225i
$859$	0.694301	−	7.27105i	0.0236893	−	0.248085i	−0.975869	−	0.218358i	$-0.929930\pi$
$859$	0.694301	−	7.27105i	0.0236893	−	0.248085i	0.999558	−	0.0297274i	$-0.00946392\pi$
$860$	4.97374	+	5.74000i	0.169603	+	0.195732i
$861$	−10.9587	−	28.7298i	−0.373471	−	0.979109i
$862$	8.62687	−	60.0012i	0.293832	−	2.04365i
$863$	1.03435	−	1.31528i	0.0352096	−	0.0447726i	−0.768129	−	0.640295i	$-0.778812\pi$
$863$	1.03435	−	1.31528i	0.0352096	−	0.0447726i	0.803339	+	0.595522i	$0.203055\pi$
$864$	35.8579	+	5.49282i	1.21991	+	0.186870i
$865$	−6.20092	+	17.9164i	−0.210838	+	0.609175i
$866$	46.4901	+	4.43926i	1.57980	+	0.150852i
$867$	−0.314896	−	24.6011i	−0.0106944	−	0.835497i
$868$	−17.9444	−	110.348i	−0.609074	−	3.74547i
$869$	−49.8790	−	43.2204i	−1.69203	−	1.46615i
$870$	19.3304	+	19.7604i	0.655361	+	0.669941i
$871$	−2.29193	−	24.0022i	−0.0776591	−	0.813283i
$872$	−48.3924	−	61.5360i	−1.63877	−	2.08387i
$873$	−0.782886	+	11.2300i	−0.0264967	+	0.380079i
$874$	7.16540	+	2.89176i	0.242373	+	0.0978153i
$875$	21.0157	+	14.3898i	0.710461	+	0.486463i
$876$	−23.4545	+	53.1480i	−0.792453	+	1.79570i
$877$	9.39365	+	13.1915i	0.317201	+	0.445446i	0.942136	−	0.335230i	$-0.108814\pi$
$877$	9.39365	+	13.1915i	0.317201	+	0.445446i	−0.624935	+	0.780676i	$0.714875\pi$
$878$	−2.68504	−	2.56018i	−0.0906157	−	0.0864019i
$879$	−14.1705	+	15.2477i	−0.477959	+	0.514291i
$880$	65.2039	+	68.3838i	2.19802	+	2.30522i
$881$	11.3481	−	7.29296i	0.382326	−	0.245706i	−0.335335	−	0.942099i	$-0.608849\pi$
$881$	11.3481	−	7.29296i	0.382326	−	0.245706i	0.717661	+	0.696393i	$0.245213\pi$
$882$	52.7865	−	10.9869i	1.77741	−	0.369949i
$883$	21.7259	+	25.0731i	0.731136	+	0.843776i	0.992599	−	0.121438i	$-0.0387504\pi$
$883$	21.7259	+	25.0731i	0.731136	+	0.843776i	−0.261463	+	0.965213i	$0.584205\pi$
$884$	23.5220	+	45.6263i	0.791129	+	1.53458i
$885$	−6.52719	+	36.3649i	−0.219409	+	1.22239i
$886$	−13.7322	+	5.49755i	−0.461343	+	0.184694i
$887$	−40.3982	+	20.8267i	−1.35644	+	0.699293i	−0.974393	−	0.224850i	$-0.927811\pi$
$887$	−40.3982	+	20.8267i	−1.35644	+	0.699293i	−0.382047	+	0.924143i	$0.624781\pi$
$888$	4.28277	+	27.3019i	0.143720	+	0.916192i
$889$	7.26437	−	41.8188i	0.243639	−	1.40256i
$890$	−5.82375	−	9.06194i	−0.195213	−	0.303757i
$891$	−43.3412	+	4.29599i	−1.45198	+	0.143921i
$892$	1.69274	−	8.78276i	0.0566771	−	0.294069i
$893$	1.88787	−	1.97994i	0.0631752	−	0.0662563i
$894$	9.86229	−	0.596400i	0.329844	−	0.0199466i
$895$	31.3930	−	4.51364i	1.04935	−	0.150874i
$896$	9.74539	+	20.3402i	0.325571	+	0.679518i
$897$	−39.8083	+	38.7257i	−1.32916	+	1.29301i
$898$	−8.58999	+	14.8783i	−0.286652	+	0.496495i
$899$	18.1993	−	14.3121i	0.606980	−	0.477334i
$900$	−7.93395	−	12.9639i	−0.264465	−	0.432131i
$901$	4.58848	+	1.11315i	0.152864	+	0.0370845i
$902$	54.5963	−	63.0075i	1.81786	−	2.09792i
$903$	1.85669	+	2.44234i	0.0617868	+	0.0812760i
$904$	−8.06551	+	5.18339i	−0.268255	+	0.172397i
$905$	−4.60122	+	48.1861i	−0.152950	+	1.60176i
$906$	22.3725	−	18.0621i	0.743276	−	0.600073i
$907$	2.12999	−	44.7139i	0.0707250	−	1.48470i	−0.632958	−	0.774186i	$-0.718159\pi$
$907$	2.12999	−	44.7139i	0.0707250	−	1.48470i	0.703683	−	0.710514i	$-0.251538\pi$
$908$	−61.1613	−	48.0978i	−2.02971	−	1.59618i
$909$	13.7648	−	4.42743i	0.456549	−	0.146849i
$910$	67.7239	−	89.4586i	2.24503	−	2.96552i
$911$	15.4642	−	13.3998i	0.512351	−	0.443955i	−0.359916	−	0.932985i	$-0.617195\pi$
$911$	15.4642	−	13.3998i	0.512351	−	0.443955i	0.872267	+	0.489030i	$0.162649\pi$
$912$	−6.81974	−	5.22323i	−0.225824	−	0.172959i
$913$	27.2094	−	52.7788i	0.900498	−	1.74672i
$914$	30.7692	−	7.46452i	1.01775	−	0.246904i
$915$	−3.39013	+	14.7985i	−0.112074	+	0.489224i
$916$	12.6360	+	43.0343i	0.417505	+	1.42189i
$917$	−0.303970	−	16.5134i	−0.0100380	−	0.545321i
$918$	22.2892	−	0.856286i	0.735654	−	0.0282617i
$919$	12.4381	−	21.5434i	0.410295	−	0.710652i	−0.584627	−	0.811302i	$-0.698759\pi$
$919$	12.4381	−	21.5434i	0.410295	−	0.710652i	0.994922	+	0.100650i	$0.0320924\pi$
$920$	42.8152	−	66.2158i	1.41158	−	2.18307i
$921$	−0.684772	+	19.6691i	−0.0225640	+	0.648120i
$922$	−11.7999	+	29.4746i	−0.388608	+	0.970695i
$923$	−7.17829	+	15.7183i	−0.236276	+	0.517373i
$924$	65.4182	+	78.0461i	2.15210	+	2.56753i
$925$	1.73210	−	1.99895i	0.0569511	−	0.0657251i
$926$	53.3943	+	55.9984i	1.75465	+	1.84022i
$927$	41.9388	+	0.922850i	1.37745	+	0.0303104i
$928$	10.1892	−	14.3088i	0.334478	−	0.469708i
$929$	−18.3743	+	3.54136i	−0.602842	+	0.116188i	−0.481535	−	0.876427i	$-0.659921\pi$
$929$	−18.3743	+	3.54136i	−0.602842	+	0.116188i	−0.121307	+	0.992615i	$0.538709\pi$
$930$	−91.4134	+	43.1696i	−2.99756	+	1.41559i
$931$	−4.20113	−	1.28296i	−0.137686	−	0.0420472i
$932$	−1.30976	−	0.188315i	−0.0429025	−	0.00616845i
$933$	0.370868	−	4.49061i	0.0121417	−	0.147016i
$934$	−19.7980	−	6.85215i	−0.647810	−	0.224209i
$935$	16.2823	+	11.5946i	0.532487	+	0.379183i
$936$	117.046	−	64.1856i	3.82577	−	2.09797i
$937$	7.93830	−	27.0354i	0.259333	−	0.883207i	−0.722163	−	0.691723i	$-0.756852\pi$
$937$	7.93830	−	27.0354i	0.259333	−	0.883207i	0.981496	−	0.191484i	$-0.0613299\pi$
$938$	6.21272	+	23.6968i	0.202852	+	0.773727i
$939$	20.8303	+	5.82779i	0.679770	+	0.190183i
$940$	−28.6886	−	40.2875i	−0.935720	−	1.31403i
$941$	−2.51256	+	1.97590i	−0.0819072	+	0.0644125i	−0.658273	−	0.752779i	$-0.728713\pi$
$941$	−2.51256	+	1.97590i	−0.0819072	+	0.0644125i	0.576366	+	0.817192i	$0.304470\pi$
$942$	−2.95581	−	0.102905i	−0.0963054	−	0.00335283i
$943$	−28.5614	−	14.8252i	−0.930088	−	0.482776i
$944$	68.2398			2.22102
$945$	−15.8401	−	30.0434i	−0.515280	−	0.977313i
$946$	−3.45553	+	7.56657i	−0.112349	+	0.246010i
$947$	6.62571	+	1.60738i	0.215307	+	0.0522329i	0.341961	−	0.939714i	$-0.388909\pi$
$947$	6.62571	+	1.60738i	0.215307	+	0.0522329i	−0.126655	+	0.991947i	$0.540424\pi$
$948$	73.8460	−	79.4593i	2.39841	−	2.58072i
$949$	11.5127	+	47.4561i	0.373719	+	1.54049i
$950$	0.0845796	+	1.77555i	0.00274413	+	0.0576063i
$951$	2.29147	−	17.5272i	0.0743059	−	0.568359i
$952$	−17.5154	−	23.6628i	−0.567676	−	0.766916i
$953$	16.9743	−	26.4125i	0.549851	−	0.855584i	−0.449437	−	0.893312i	$-0.648376\pi$
$953$	16.9743	−	26.4125i	0.549851	−	0.855584i	0.999288	+	0.0377276i	$0.0120119\pi$
$954$	4.58549	−	21.2632i	0.148461	−	0.688422i
$955$	7.90486	+	19.7454i	0.255795	+	0.638946i
$956$	−54.3471	−	2.58887i	−1.75771	−	0.0837301i
$957$	−7.58707	+	19.6778i	−0.245255	+	0.636094i
$958$	62.4892	−	28.5379i	2.01893	−	0.922016i
$959$	18.5958	−	10.0242i	0.600489	−	0.323699i
$960$	−6.77276	+	6.02211i	−0.218590	+	0.194363i
$961$	17.5546	+	50.7206i	0.566276	+	1.63615i
$962$	29.7847	+	28.3997i	0.960297	+	0.915642i
$963$	34.7868	−	21.2896i	1.12099	−	0.686048i
$964$	2.43190	−	6.07459i	0.0783263	−	0.195650i
$965$	−65.3511			−2.10373
$966$	33.6063	−	45.3278i	1.08126	−	1.45840i
$967$	−44.7624			−1.43946			−0.719731	−	0.694253i	$-0.755735\pi$
$967$	−44.7624			−1.43946			−0.719731	+	0.694253i	$0.755735\pi$
$968$	−30.7180	+	76.7300i	−0.987315	+	2.46619i
$969$	−1.62575	−	0.811963i	−0.0522265	−	0.0260840i
$970$	−17.2260	−	16.4250i	−0.553095	−	0.527375i
$971$	−18.3289	−	52.9580i	−0.588203	−	1.69950i	−0.707562	−	0.706651i	$-0.750205\pi$
$971$	−18.3289	−	52.9580i	−0.588203	−	1.69950i	0.119359	−	0.992851i	$-0.461916\pi$
$972$	−4.57804	−	71.4376i	−0.146841	−	2.29136i
$973$	−0.592391	+	20.2854i	−0.0189912	+	0.650319i
$974$	14.9668	−	6.83510i	0.479567	−	0.219011i
$975$	−11.9208	−	4.59623i	−0.381771	−	0.147197i
$976$	28.0093	+	1.33425i	0.896557	+	0.0427083i
$977$	12.2193	+	30.5223i	0.390930	+	0.976496i	0.985073	+	0.172137i	$0.0550670\pi$
$977$	12.2193	+	30.5223i	0.390930	+	0.976496i	−0.594143	+	0.804359i	$0.702509\pi$
$978$	19.7462	+	54.7743i	0.631413	+	1.75149i
$979$	4.44314	−	6.91367i	0.142003	−	0.220962i
$980$	−37.1487	+	70.1886i	−1.18667	+	2.24209i
$981$	−22.4187	+	27.2518i	−0.715774	+	0.870084i
$982$	−3.15657	−	66.2645i	−0.100730	−	2.11459i
$983$	−4.50371	−	18.5646i	−0.143646	−	0.592118i	−0.997440	−	0.0715066i	$-0.977219\pi$
$983$	−4.50371	−	18.5646i	−0.143646	−	0.592118i	0.853794	−	0.520611i	$-0.174296\pi$
$984$	56.6580	+	52.6554i	1.80619	+	1.67859i
$985$	35.2267	+	8.54592i	1.12242	+	0.272295i
$986$	4.48690	−	9.82495i	0.142892	−	0.312890i
$987$	−10.5240	−	16.9815i	−0.334982	−	0.540526i
$988$	−19.2665			−0.612948
$989$	3.15100	+	0.616407i	0.100196	+	0.0196006i
$990$	51.4780	−	76.3542i	1.63608	−	2.42670i
$991$	−25.8511	+	20.3295i	−0.821187	+	0.645788i	−0.937718	−	0.347399i	$-0.887065\pi$
$991$	−25.8511	+	20.3295i	−0.821187	+	0.645788i	0.116531	+	0.993187i	$0.462823\pi$
$992$	37.2633	+	52.3290i	1.18311	+	1.66145i
$993$	−3.71175	+	13.2669i	−0.117789	+	0.421012i
$994$	4.63541	−	16.9337i	0.147026	−	0.537103i
$995$	7.00826	−	23.8679i	0.222177	−	0.756665i
$996$	85.1380	+	47.7121i	2.69770	+	1.51182i
$997$	−1.71731	−	1.22289i	−0.0543877	−	0.0387293i	0.552540	−	0.833487i	$-0.313659\pi$
$997$	−1.71731	−	1.22289i	−0.0543877	−	0.0387293i	−0.606927	+	0.794757i	$0.707598\pi$
$998$	−21.1199	−	7.30967i	−0.668539	−	0.231384i
$999$	11.6071	−	4.52330i	0.367232	−	0.143111i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.5	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.56	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.5	yes	1200
21.17	even	6	inner	483.2.bb.a.164.56	yes	1200
23.8	even	11	inner	483.2.bb.a.215.56	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.5	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.56	yes	1200
483.353	even	66	inner	483.2.bb.a.353.5	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.5	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.56	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.5	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.56	yes	1200	21.17	even	6	inner
483.2.bb.a.215.5	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.56	yes	1200	23.8	even	11	inner
483.2.bb.a.353.5	yes	1200	483.353	even	66	inner
483.2.bb.a.353.56	yes	1200	161.31	odd	66	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.954248 + 2.38360i) q^{2} +(0.773902 - 1.54954i) q^{3} +(-3.32348 - 3.16893i) q^{4} +(-0.808015 - 2.33461i) q^{5} +(2.95498 + 3.32332i) q^{6} +(-2.64462 - 0.0772305i) q^{7} +(6.05389 - 2.76472i) q^{8} +(-1.80215 - 2.39839i) q^{9} +O(q^{10})\)	\(q+(-0.954248 + 2.38360i) q^{2} +(0.773902 - 1.54954i) q^{3} +(-3.32348 - 3.16893i) q^{4} +(-0.808015 - 2.33461i) q^{5} +(2.95498 + 3.32332i) q^{6} +(-2.64462 - 0.0772305i) q^{7} +(6.05389 - 2.76472i) q^{8} +(-1.80215 - 2.39839i) q^{9} +(6.33581 + 0.301812i) q^{10} +(1.79858 + 4.49264i) q^{11} +(-7.48243 + 2.69742i) q^{12} +(-3.61466 + 5.62453i) q^{13} +(2.70771 - 6.23002i) q^{14} +(-4.24289 - 0.554705i) q^{15} +(0.376057 + 7.89441i) q^{16} +(0.394175 + 1.62481i) q^{17} +(7.43648 - 2.00694i) q^{18} +(-0.609834 - 0.147944i) q^{19} +(-4.71278 + 10.3195i) q^{20} +(-2.16635 + 4.03818i) q^{21} -12.4249 q^{22} +(1.11768 + 4.66377i) q^{23} +(0.401076 - 11.5204i) q^{24} +(-0.867229 + 0.681996i) q^{25} +(-9.95732 - 13.9831i) q^{26} +(-5.11108 + 0.936388i) q^{27} +(8.54461 + 8.63730i) q^{28} +(-0.708873 + 2.41420i) q^{29} +(5.37096 - 9.58401i) q^{30} +(-7.49554 - 5.33755i) q^{31} +(-6.59738 - 2.28338i) q^{32} +(8.35345 + 0.689890i) q^{33} +(-4.24904 - 0.610919i) q^{34} +(1.95659 + 6.23656i) q^{35} +(-1.61091 + 13.6819i) q^{36} +(-2.35409 + 0.453713i) q^{37} +(0.934572 - 1.31242i) q^{38} +(5.91803 + 9.95390i) q^{39} +(-11.3462 - 11.8995i) q^{40} +(-4.39409 + 5.07105i) q^{41} +(-7.55816 - 9.01714i) q^{42} +(0.278113 - 0.608982i) q^{43} +(8.25931 - 20.6308i) q^{44} +(-4.14312 + 6.14524i) q^{45} +(-12.1831 - 1.78630i) q^{46} +(-2.17979 + 3.77550i) q^{47} +(12.5237 + 5.52679i) q^{48} +(6.98807 + 0.408491i) q^{49} +(-0.798053 - 2.71792i) q^{50} +(2.82276 + 0.646655i) q^{51} +(29.8370 - 7.23837i) q^{52} +(1.29404 - 2.51008i) q^{53} +(2.64527 - 13.0763i) q^{54} +(9.03526 - 7.82910i) q^{55} +(-16.2238 + 6.84409i) q^{56} +(-0.701197 + 0.830468i) q^{57} +(-5.07804 - 3.99341i) q^{58} +(0.410836 - 8.62450i) q^{59} +(12.3433 + 15.2890i) q^{60} +(0.337259 - 3.53193i) q^{61} +(19.8752 - 12.7730i) q^{62} +(4.58078 + 6.48201i) q^{63} +(1.38699 - 1.60067i) q^{64} +(16.0517 + 3.89411i) q^{65} +(-9.61569 + 19.2529i) q^{66} +(-2.83475 + 2.22927i) q^{67} +(3.83888 - 6.64913i) q^{68} +(8.09168 + 1.87741i) q^{69} +(-16.7325 - 1.28750i) q^{70} +(2.55821 - 0.367815i) q^{71} +(-17.5409 - 9.53712i) q^{72} +(5.04022 - 5.28603i) q^{73} +(1.16491 - 6.04415i) q^{74} +(0.385630 + 1.87160i) q^{75} +(1.55794 + 2.42421i) q^{76} +(-4.40960 - 12.0202i) q^{77} +(-29.3734 + 4.60771i) q^{78} +(-12.1222 + 6.24941i) q^{79} +(18.1265 - 7.25674i) q^{80} +(-2.50451 + 8.64450i) q^{81} +(-7.89429 - 15.3128i) q^{82} +(-8.03536 - 9.27330i) q^{83} +(19.9965 - 6.55579i) q^{84} +(3.47479 - 2.23311i) q^{85} +(1.18618 + 1.24403i) q^{86} +(3.19230 + 2.96678i) q^{87} +(23.3093 + 22.2254i) q^{88} +(-0.985078 - 1.38335i) q^{89} +(-10.6942 - 15.7396i) q^{90} +(9.99381 - 14.5956i) q^{91} +(11.0646 - 19.0418i) q^{92} +(-14.0716 + 7.48390i) q^{93} +(-6.91922 - 8.79850i) q^{94} +(0.147364 + 1.54326i) q^{95} +(-8.64392 + 8.45580i) q^{96} +(-2.83590 - 2.45732i) q^{97} +(-7.64203 + 16.2669i) q^{98} +(7.53377 - 12.4101i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

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