LMFDB - Embedded newform 798.2.ca.a.523.9

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [798,2,Mod(325,798)] 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("798.325"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(798, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([0, 3, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [72] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$12$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			523.9
Character	$\chi$	$=$	798.523
Dual form			798.2.ca.a.325.9

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.342020 - 0.939693i) q^{2} +(0.939693 + 0.342020i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(0.105506 + 0.125737i) q^{5} +(0.642788 - 0.766044i) q^{6} +(-0.536392 + 2.59081i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.766044 + 0.642788i) q^{9} +(0.154239 - 0.0561386i) q^{10} +(2.12950 - 3.68840i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(4.34950 + 3.64966i) q^{13} +(2.25111 + 1.39015i) q^{14} +(0.0561386 + 0.154239i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.0419948 - 0.0500474i) q^{17} +(0.866025 - 0.500000i) q^{18} +(-1.13469 + 4.20862i) q^{19} -0.164138i q^{20} +(-1.39015 + 2.25111i) q^{21} +(-2.73763 - 3.26258i) q^{22} +(-0.230239 + 1.30575i) q^{23} +(-0.984808 + 0.173648i) q^{24} +(0.863563 - 4.89751i) q^{25} +(4.91717 - 2.83893i) q^{26} +(0.500000 + 0.866025i) q^{27} +(2.07624 - 1.63989i) q^{28} +(4.11411 + 0.725429i) q^{29} +0.164138 q^{30} +6.15357 q^{31} +(0.984808 + 0.173648i) q^{32} +(3.26258 - 2.73763i) q^{33} +(-0.0613923 + 0.0223450i) q^{34} +(-0.382353 + 0.205901i) q^{35} +(-0.173648 - 0.984808i) q^{36} +(-0.0954391 - 0.0551018i) q^{37} +(3.56672 + 2.50569i) q^{38} +(2.83893 + 4.91717i) q^{39} +(-0.154239 - 0.0561386i) q^{40} +(5.11725 - 4.29388i) q^{41} +(1.63989 + 2.07624i) q^{42} +(3.43339 + 1.24965i) q^{43} +(-4.00215 + 1.45666i) q^{44} +0.164138i q^{45} +(1.14826 + 0.662948i) q^{46} +(-3.55792 + 4.24017i) q^{47} +(-0.173648 + 0.984808i) q^{48} +(-6.42457 - 2.77938i) q^{49} +(-4.30680 - 2.48653i) q^{50} +(-0.0223450 - 0.0613923i) q^{51} +(-0.985951 - 5.59160i) q^{52} +(-1.11881 + 1.33335i) q^{53} +(0.984808 - 0.173648i) q^{54} +(0.688443 - 0.121391i) q^{55} +(-0.830874 - 2.51190i) q^{56} +(-2.50569 + 3.56672i) q^{57} +(2.08879 - 3.61789i) q^{58} +(-1.69515 + 1.42240i) q^{59} +(0.0561386 - 0.154239i) q^{60} +(-11.3771 - 2.00609i) q^{61} +(2.10464 - 5.78246i) q^{62} +(-2.07624 + 1.63989i) q^{63} +(0.500000 - 0.866025i) q^{64} +0.931955i q^{65} +(-1.45666 - 4.00215i) q^{66} +(-2.92708 - 8.04209i) q^{67} +0.0653323i q^{68} +(-0.662948 + 1.14826i) q^{69} +(0.0627114 + 0.429717i) q^{70} +(3.15235 - 8.66100i) q^{71} +(-0.984808 - 0.173648i) q^{72} +(-4.80335 + 13.1971i) q^{73} +(-0.0844209 + 0.0708375i) q^{74} +(2.48653 - 4.30680i) q^{75} +(3.57447 - 2.49463i) q^{76} +(8.41368 + 7.49554i) q^{77} +(5.59160 - 0.985951i) q^{78} +(-2.36522 + 0.417052i) q^{79} +(-0.105506 + 0.125737i) q^{80} +(0.173648 + 0.984808i) q^{81} +(-2.28473 - 6.27724i) q^{82} +(-12.9977 - 7.50424i) q^{83} +(2.51190 - 0.830874i) q^{84} +(0.00186212 - 0.0105606i) q^{85} +(2.34858 - 2.79892i) q^{86} +(3.61789 + 2.08879i) q^{87} +4.25899i q^{88} +(14.6658 - 5.33792i) q^{89} +(0.154239 + 0.0561386i) q^{90} +(-11.7886 + 9.31106i) q^{91} +(1.01569 - 0.852269i) q^{92} +(5.78246 + 2.10464i) q^{93} +(2.76757 + 4.79358i) q^{94} +(-0.648896 + 0.301362i) q^{95} +(0.866025 + 0.500000i) q^{96} +(-0.229860 - 1.30360i) q^{97} +(-4.80909 + 5.08651i) q^{98} +(4.00215 - 1.45666i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33}+ \cdots + 6 q^{99}+O(q^{100}) $ 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{17}{18}\right)$	$1$

Coefficient data

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

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

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

$2$	0.342020	−	0.939693i	0.241845	−	0.664463i
$2$	0.342020	−	0.939693i	0.241845	−	0.664463i
$3$	0.939693	+	0.342020i	0.542532	+	0.197465i
$3$	0.939693	+	0.342020i	0.542532	+	0.197465i
$4$	−0.766044	−	0.642788i	−0.383022	−	0.321394i
$5$	0.105506	+	0.125737i	0.0471837	+	0.0562314i	0.789120	−	0.614239i	$-0.210537\pi$
$5$	0.105506	+	0.125737i	0.0471837	+	0.0562314i	−0.741936	+	0.670470i	$0.766092\pi$
$6$	0.642788	−	0.766044i	0.262417	−	0.312736i
$7$	−0.536392	+	2.59081i	−0.202737	+	0.979233i
$7$	−0.536392	+	2.59081i	−0.202737	+	0.979233i
$8$	−0.866025	+	0.500000i	−0.306186	+	0.176777i
$9$	0.766044	+	0.642788i	0.255348	+	0.214263i
$10$	0.154239	−	0.0561386i	0.0487748	−	0.0177526i
$11$	2.12950	−	3.68840i	0.642068	−	1.11209i	−0.342903	−	0.939371i	$-0.611410\pi$
$11$	2.12950	−	3.68840i	0.642068	−	1.11209i	0.984970	−	0.172723i	$-0.0552565\pi$
$12$	−0.500000	−	0.866025i	−0.144338	−	0.250000i
$13$	4.34950	+	3.64966i	1.20633	+	1.01223i	0.999426	+	0.0338732i	$0.0107842\pi$
$13$	4.34950	+	3.64966i	1.20633	+	1.01223i	0.206907	+	0.978361i	$0.433660\pi$
$14$	2.25111	+	1.39015i	0.601633	+	0.371534i
$15$	0.0561386	+	0.154239i	0.0144949	+	0.0398245i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	−0.0419948	−	0.0500474i	−0.0101852	−	0.0121383i	0.760928	−	0.648837i	$-0.224744\pi$
$17$	−0.0419948	−	0.0500474i	−0.0101852	−	0.0121383i	−0.771113	+	0.636698i	$0.780300\pi$
$18$	0.866025	−	0.500000i	0.204124	−	0.117851i
$19$	−1.13469	+	4.20862i	−0.260315	+	0.965524i
$19$	−1.13469	+	4.20862i	−0.260315	+	0.965524i
$20$		−	0.164138i		−	0.0367024i
$21$	−1.39015	+	2.25111i	−0.303356	+	0.491232i
$22$	−2.73763	−	3.26258i	−0.583664	−	0.695584i
$23$	−0.230239	+	1.30575i	−0.0480082	+	0.272268i	−0.999357	−	0.0358470i	$-0.988587\pi$
$23$	−0.230239	+	1.30575i	−0.0480082	+	0.272268i	0.951349	+	0.308115i	$0.0996982\pi$
$24$	−0.984808	+	0.173648i	−0.201023	+	0.0354458i
$25$	0.863563	−	4.89751i	0.172713	−	0.979501i
$26$	4.91717	−	2.83893i	0.964337	−	0.556760i
$27$	0.500000	+	0.866025i	0.0962250	+	0.166667i
$28$	2.07624	−	1.63989i	0.392372	−	0.309910i
$29$	4.11411	+	0.725429i	0.763972	+	0.134709i	0.542039	−	0.840353i	$-0.317652\pi$
$29$	4.11411	+	0.725429i	0.763972	+	0.134709i	0.221932	+	0.975062i	$0.428764\pi$
$30$	0.164138			0.0299674
$31$	6.15357			1.10521			0.552607	−	0.833442i	$-0.313633\pi$
$31$	6.15357			1.10521			0.552607	+	0.833442i	$0.313633\pi$
$32$	0.984808	+	0.173648i	0.174091	+	0.0306970i
$33$	3.26258	−	2.73763i	0.567942	−	0.476560i
$34$	−0.0613923	+	0.0223450i	−0.0105287	+	0.00383213i
$35$	−0.382353	+	0.205901i	−0.0646295	+	0.0348037i
$36$	−0.173648	−	0.984808i	−0.0289414	−	0.164135i
$37$	−0.0954391	−	0.0551018i	−0.0156901	−	0.00905868i	0.492134	−	0.870519i	$-0.336217\pi$
$37$	−0.0954391	−	0.0551018i	−0.0156901	−	0.00905868i	−0.507825	+	0.861461i	$0.669550\pi$
$38$	3.56672	+	2.50569i	0.578599	+	0.406477i
$39$	2.83893	+	4.91717i	0.454593	+	0.787378i
$40$	−0.154239	−	0.0561386i	−0.0243874	−	0.00887629i
$41$	5.11725	−	4.29388i	0.799180	−	0.670592i	−0.148819	−	0.988864i	$-0.547547\pi$
$41$	5.11725	−	4.29388i	0.799180	−	0.670592i	0.947999	+	0.318272i	$0.103103\pi$
$42$	1.63989	+	2.07624i	0.253040	+	0.320371i
$43$	3.43339	+	1.24965i	0.523587	+	0.190570i	0.590272	−	0.807204i	$-0.299020\pi$
$43$	3.43339	+	1.24965i	0.523587	+	0.190570i	−0.0666858	+	0.997774i	$0.521243\pi$
$44$	−4.00215	+	1.45666i	−0.603346	+	0.219600i
$45$			0.164138i			0.0244683i
$46$	1.14826	+	0.662948i	0.169302	+	0.0977463i
$47$	−3.55792	+	4.24017i	−0.518976	+	0.618492i	−0.960338	−	0.278837i	$-0.910051\pi$
$47$	−3.55792	+	4.24017i	−0.518976	+	0.618492i	0.441362	+	0.897329i	$0.354495\pi$
$48$	−0.173648	+	0.984808i	−0.0250640	+	0.142145i
$49$	−6.42457	−	2.77938i	−0.917795	−	0.397054i
$50$	−4.30680	−	2.48653i	−0.609073	−	0.351648i
$51$	−0.0223450	−	0.0613923i	−0.00312892	−	0.00859664i
$52$	−0.985951	−	5.59160i	−0.136727	−	0.775416i
$53$	−1.11881	+	1.33335i	−0.153680	+	0.183149i	−0.837391	−	0.546604i	$-0.815920\pi$
$53$	−1.11881	+	1.33335i	−0.153680	+	0.183149i	0.683711	+	0.729753i	$0.260365\pi$
$54$	0.984808	−	0.173648i	0.134015	−	0.0236305i
$55$	0.688443	−	0.121391i	0.0928297	−	0.0163684i
$56$	−0.830874	−	2.51190i	−0.111030	−	0.335667i
$57$	−2.50569	+	3.56672i	−0.331887	+	0.472424i
$58$	2.08879	−	3.61789i	0.274272	−	0.475052i
$59$	−1.69515	+	1.42240i	−0.220690	+	0.185181i	−0.746429	−	0.665465i	$-0.768233\pi$
$59$	−1.69515	+	1.42240i	−0.220690	+	0.185181i	0.525739	+	0.850646i	$0.323789\pi$
$60$	0.0561386	−	0.154239i	0.00724746	−	0.0199122i
$61$	−11.3771	−	2.00609i	−1.45669	−	0.256853i	−0.611467	−	0.791270i	$-0.709420\pi$
$61$	−11.3771	−	2.00609i	−1.45669	−	0.256853i	−0.845221	+	0.534416i	$0.820531\pi$
$62$	2.10464	−	5.78246i	0.267290	−	0.734373i
$63$	−2.07624	+	1.63989i	−0.261582	+	0.206606i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$			0.931955i			0.115595i
$66$	−1.45666	−	4.00215i	−0.179303	−	0.492630i
$67$	−2.92708	−	8.04209i	−0.357600	−	0.982497i	−0.979860	−	0.199687i	$-0.936008\pi$
$67$	−2.92708	−	8.04209i	−0.357600	−	0.982497i	0.622260	−	0.782811i	$-0.286215\pi$
$68$			0.0653323i			0.00792271i
$69$	−0.662948	+	1.14826i	−0.0798095	+	0.138234i
$70$	0.0627114	+	0.429717i	0.00749544	+	0.0513610i
$71$	3.15235	−	8.66100i	0.374115	−	1.02787i	−0.599640	−	0.800270i	$-0.704689\pi$
$71$	3.15235	−	8.66100i	0.374115	−	1.02787i	0.973754	−	0.227602i	$-0.0730884\pi$
$72$	−0.984808	−	0.173648i	−0.116061	−	0.0204646i
$73$	−4.80335	+	13.1971i	−0.562190	+	1.54460i	0.254230	+	0.967144i	$0.418178\pi$
$73$	−4.80335	+	13.1971i	−0.562190	+	1.54460i	−0.816419	+	0.577459i	$0.804044\pi$
$74$	−0.0844209	+	0.0708375i	−0.00981373	+	0.00823469i
$75$	2.48653	−	4.30680i	0.287120	−	0.497306i
$76$	3.57447	−	2.49463i	0.410020	−	0.286153i
$77$	8.41368	+	7.49554i	0.958828	+	0.854197i
$78$	5.59160	−	0.985951i	0.633125	−	0.111637i
$79$	−2.36522	+	0.417052i	−0.266108	+	0.0469220i	−0.305110	−	0.952317i	$-0.598693\pi$
$79$	−2.36522	+	0.417052i	−0.266108	+	0.0469220i	0.0390020	+	0.999239i	$0.487582\pi$
$80$	−0.105506	+	0.125737i	−0.0117959	+	0.0140578i
$81$	0.173648	+	0.984808i	0.0192942	+	0.109423i
$82$	−2.28473	−	6.27724i	−0.252306	−	0.693205i
$83$	−12.9977	−	7.50424i	−1.42669	−	0.823697i	−0.429827	−	0.902911i	$-0.641426\pi$
$83$	−12.9977	−	7.50424i	−1.42669	−	0.823697i	−0.996858	+	0.0792140i	$0.974759\pi$
$84$	2.51190	−	0.830874i	0.274071	−	0.0906558i
$85$	0.00186212	−	0.0105606i	0.000201975	−	0.00114546i
$86$	2.34858	−	2.79892i	0.253253	−	0.301816i
$87$	3.61789	+	2.08879i	0.387879	+	0.223942i
$88$			4.25899i			0.454010i
$89$	14.6658	−	5.33792i	1.55457	−	0.565819i	0.585089	−	0.810969i	$-0.301059\pi$
$89$	14.6658	−	5.33792i	1.55457	−	0.565819i	0.969485	+	0.245150i	$0.0788372\pi$
$90$	0.154239	+	0.0561386i	0.0162583	+	0.00591753i
$91$	−11.7886	+	9.31106i	−1.23578	+	0.976064i
$92$	1.01569	−	0.852269i	0.105894	−	0.0888552i
$93$	5.78246	+	2.10464i	0.599613	+	0.218241i
$94$	2.76757	+	4.79358i	0.285453	+	0.494420i
$95$	−0.648896	+	0.301362i	−0.0665754	+	0.0309191i
$96$	0.866025	+	0.500000i	0.0883883	+	0.0510310i
$97$	−0.229860	−	1.30360i	−0.0233388	−	0.132361i	0.970912	−	0.239436i	$-0.0769625\pi$
$97$	−0.229860	−	1.30360i	−0.0233388	−	0.132361i	−0.994251	+	0.107075i	$0.965851\pi$
$98$	−4.80909	+	5.08651i	−0.485792	+	0.513816i
$99$	4.00215	−	1.45666i	0.402231	−	0.146400i
$100$	−3.80958	+	3.19662i	−0.380958	+	0.319662i
$101$	14.0514	+	2.47764i	1.39817	+	0.246535i	0.821390	−	0.570367i	$-0.193199\pi$
$101$	14.0514	+	2.47764i	1.39817	+	0.246535i	0.576777	+	0.816902i	$0.304310\pi$
$102$	−0.0653323			−0.00646886
$103$	−6.22999			−0.613859			−0.306930	−	0.951732i	$-0.599302\pi$
$103$	−6.22999			−0.613859			−0.306930	+	0.951732i	$0.599302\pi$
$104$	−5.59160	−	0.985951i	−0.548302	−	0.0966804i
$105$	−0.429717	+	0.0627114i	−0.0419361	+	0.00612001i
$106$	0.870280	+	1.50737i	0.0845290	+	0.146409i
$107$	−9.90024	+	5.71591i	−0.957093	+	0.552578i	−0.895277	−	0.445510i	$-0.853022\pi$
$107$	−9.90024	+	5.71591i	−0.957093	+	0.552578i	−0.0618157	+	0.998088i	$0.519689\pi$
$108$	0.173648	−	0.984808i	0.0167093	−	0.0947632i
$109$	−10.5825	+	1.86597i	−1.01362	+	0.178728i	−0.655697	−	0.755024i	$-0.727625\pi$
$109$	−10.5825	+	1.86597i	−1.01362	+	0.178728i	−0.357920	+	0.933752i	$0.616514\pi$
$110$	0.121391	−	0.688443i	0.0115742	−	0.0656405i
$111$	−0.0708375	−	0.0844209i	−0.00672360	−	0.00801287i
$112$	−2.64459	−	0.0783542i	−0.249890	−	0.00740378i
$113$		−	9.10485i		−	0.856512i	−0.903658	−	0.428256i	$-0.859128\pi$
$113$		−	9.10485i		−	0.856512i	0.903658	−	0.428256i	$-0.140872\pi$
$114$	2.49463	+	3.57447i	0.233643	+	0.334780i
$115$	−0.188473	+	0.108815i	−0.0175752	+	0.0101471i
$116$	−2.68530	−	3.20021i	−0.249324	−	0.297132i
$117$	0.985951	+	5.59160i	0.0911512	+	0.516944i
$118$	0.756843	+	2.07941i	0.0696730	+	0.191425i
$119$	0.152189	−	0.0819554i	0.0139511	−	0.00751284i
$120$	−0.125737	−	0.105506i	−0.0114782	−	0.00963134i
$121$	−3.56952	−	6.18258i	−0.324501	−	0.562053i
$122$	−5.77630	+	10.0049i	−0.522962	+	0.905797i
$123$	6.27724	−	2.28473i	0.566000	−	0.206007i
$124$	−4.71390	−	3.95544i	−0.423321	−	0.355209i
$125$	1.41765	−	0.818480i	0.126798	−	0.0732071i
$126$	0.830874	+	2.51190i	0.0740202	+	0.223778i
$127$	−9.83437	+	11.7201i	−0.872659	+	1.03999i	0.126189	+	0.992006i	$0.459725\pi$
$127$	−9.83437	+	11.7201i	−0.872659	+	1.03999i	−0.998848	+	0.0479881i	$0.984719\pi$
$128$	−0.642788	−	0.766044i	−0.0568149	−	0.0677094i
$129$	2.79892	+	2.34858i	0.246431	+	0.206781i
$130$	0.875751	+	0.318747i	0.0768084	+	0.0279560i
$131$	−0.778947	+	2.14014i	−0.0680569	+	0.186985i	−0.969059	−	0.246831i	$-0.920611\pi$
$131$	−0.778947	+	2.14014i	−0.0680569	+	0.186985i	0.901002	+	0.433816i	$0.142833\pi$
$132$	−4.25899			−0.370698
$133$	−10.2951	−	5.19723i	−0.892697	−	0.450657i
$134$	−8.55821			−0.739317
$135$	−0.0561386	+	0.154239i	−0.00483164	+	0.0132748i
$136$	0.0613923	+	0.0223450i	0.00526434	+	0.00191606i
$137$	−4.76981	−	4.00235i	−0.407512	−	0.341943i	0.415876	−	0.909421i	$-0.363475\pi$
$137$	−4.76981	−	4.00235i	−0.407512	−	0.341943i	−0.823389	+	0.567478i	$0.807919\pi$
$138$	0.852269	+	1.01569i	0.0725500	+	0.0864617i
$139$	11.7440	−	13.9960i	0.996115	−	1.18712i	0.0137968	−	0.999905i	$-0.495608\pi$
$139$	11.7440	−	13.9960i	0.996115	−	1.18712i	0.982318	−	0.187219i	$-0.0599473\pi$
$140$	0.425251	+	0.0880425i	0.0359402	+	0.00744095i
$141$	−4.79358	+	2.76757i	−0.403692	+	0.233072i
$142$	−7.06051	−	5.92447i	−0.592505	−	0.497171i
$143$	22.7236	−	8.27073i	1.90025	−	0.691633i
$144$	−0.500000	+	0.866025i	−0.0416667	+	0.0721688i
$145$	0.342850	+	0.593834i	0.0284722	+	0.0493152i
$146$	10.7584	+	9.02735i	0.890369	+	0.747108i
$147$	−5.08651	−	4.80909i	−0.419529	−	0.396647i
$148$	0.0376919	+	0.103558i	0.00309825	+	0.00851238i
$149$	0.141166	+	0.800591i	0.0115647	+	0.0655870i	0.990044	−	0.140758i	$-0.0449541\pi$
$149$	0.141166	+	0.800591i	0.0115647	+	0.0655870i	−0.978479	+	0.206345i	$0.933843\pi$
$150$	−3.19662	−	3.80958i	−0.261003	−	0.311051i
$151$	−2.54990	+	1.47219i	−0.207508	+	0.119805i	−0.600153	−	0.799885i	$-0.704894\pi$
$151$	−2.54990	+	1.47219i	−0.207508	+	0.119805i	0.392645	+	0.919690i	$0.371560\pi$
$152$	−1.12164	−	4.21212i	−0.0909771	−	0.341648i
$153$		−	0.0653323i		−	0.00528180i
$154$	9.92116	−	5.34265i	0.799470	−	0.430523i
$155$	0.649238	+	0.773732i	0.0521481	+	0.0621476i
$156$	0.985951	−	5.59160i	0.0789392	−	0.447687i
$157$	0.654779	−	0.115455i	0.0522570	−	0.00921432i	−0.147459	−	0.989068i	$-0.547109\pi$
$157$	0.654779	−	0.115455i	0.0522570	−	0.00921432i	0.199716	+	0.979854i	$0.435998\pi$
$158$	−0.417052	+	2.36522i	−0.0331789	+	0.188167i
$159$	−1.50737	+	0.870280i	−0.119542	+	0.0690177i
$160$	0.0820691	+	0.142148i	0.00648813	+	0.0112378i
$161$	−3.25945	−	1.29690i	−0.256881	−	0.102210i
$162$	0.984808	+	0.173648i	0.0773738	+	0.0136431i
$163$	−19.2400			−1.50700			−0.753498	−	0.657451i	$-0.771635\pi$
$163$	−19.2400			−1.50700			−0.753498	+	0.657451i	$0.771635\pi$
$164$	−6.68010			−0.521628
$165$	0.688443	+	0.121391i	0.0535952	+	0.00945029i
$166$	−11.4972	+	9.64726i	−0.892353	+	0.748773i
$167$	−13.9373	+	5.07276i	−1.07850	+	0.392542i	−0.819349	−	0.573295i	$-0.805665\pi$
$167$	−13.9373	+	5.07276i	−1.07850	+	0.392542i	−0.259151	+	0.965837i	$0.583443\pi$
$168$	0.0783542	−	2.64459i	0.00604516	−	0.204035i
$169$	3.34067	+	18.9459i	0.256975	+	1.45737i
$170$	−0.00928685	−	0.00536176i	−0.000712269	−	0.000411229i
$171$	−3.57447	+	2.49463i	−0.273347	+	0.190769i
$172$	−1.82687	−	3.16423i	−0.139297	−	0.241270i
$173$	−1.88920	−	0.687612i	−0.143633	−	0.0522782i	0.269203	−	0.963083i	$-0.413240\pi$
$173$	−1.88920	−	0.687612i	−0.143633	−	0.0522782i	−0.412836	+	0.910805i	$0.635462\pi$
$174$	3.20021	−	2.68530i	0.242607	−	0.203572i
$175$	12.2253	+	4.86431i	0.924145	+	0.367707i
$176$	4.00215	+	1.45666i	0.301673	+	0.109800i
$177$	−2.07941	+	0.756843i	−0.156298	+	0.0568878i
$178$		−	15.6070i		−	1.16980i
$179$	−9.22890	−	5.32831i	−0.689801	−	0.398257i	0.113737	−	0.993511i	$-0.463718\pi$
$179$	−9.22890	−	5.32831i	−0.689801	−	0.398257i	−0.803537	+	0.595254i	$0.797051\pi$
$180$	0.105506	−	0.125737i	0.00786395	−	0.00937190i
$181$	3.20443	−	18.1732i	0.238183	−	1.35081i	−0.597621	−	0.801778i	$-0.703887\pi$
$181$	3.20443	−	18.1732i	0.238183	−	1.35081i	0.835805	−	0.549027i	$-0.185001\pi$
$182$	4.71759	+	14.2622i	0.349691	+	1.05719i
$183$	−10.0049	−	5.77630i	−0.739580	−	0.426997i
$184$	−0.453483	−	1.24593i	−0.0334312	−	0.0918515i
$185$	−0.00314106	−	0.0178138i	−0.000230935	−	0.00130970i
$186$	3.95544	−	4.71390i	0.290027	−	0.345640i
$187$	−0.274023	+	0.0483176i	−0.0200385	+	0.00353333i
$188$	5.45105	−	0.961168i	0.397559	−	0.0701004i
$189$	−2.51190	+	0.830874i	−0.182714	+	0.0604372i
$190$	0.0612521	+	0.712835i	0.00444370	+	0.0517145i
$191$	−0.535178	+	0.926955i	−0.0387241	+	0.0670721i	−0.884738	−	0.466089i	$-0.845663\pi$
$191$	−0.535178	+	0.926955i	−0.0387241	+	0.0670721i	0.846014	+	0.533161i	$0.178996\pi$
$192$	0.766044	−	0.642788i	0.0552845	−	0.0463892i
$193$	−4.64531	+	12.7629i	−0.334376	+	0.918692i	0.652582	+	0.757718i	$0.273686\pi$
$193$	−4.64531	+	12.7629i	−0.334376	+	0.918692i	−0.986959	+	0.160974i	$0.948537\pi$
$194$	−1.30360	−	0.229860i	−0.0935931	−	0.0165030i
$195$	−0.318747	+	0.875751i	−0.0228260	+	0.0627138i
$196$	3.13495	+	6.25876i	0.223925	+	0.447054i
$197$	12.7512	−	22.0857i	0.908486	−	1.57354i	0.0923184	−	0.995730i	$-0.470572\pi$
$197$	12.7512	−	22.0857i	0.908486	−	1.57354i	0.816168	−	0.577815i	$-0.196094\pi$
$198$		−	4.25899i		−	0.302674i
$199$	4.67984	+	12.8578i	0.331745	+	0.911462i	0.987658	+	0.156625i	$0.0500615\pi$
$199$	4.67984	+	12.8578i	0.331745	+	0.911462i	−0.655913	+	0.754836i	$0.727716\pi$
$200$	1.70089	+	4.67315i	0.120271	+	0.330441i
$201$		−	8.55821i		−	0.603650i
$202$	7.13408	−	12.3566i	0.501952	−	0.869407i
$203$	−4.08623	+	10.2698i	−0.286797	+	0.720796i
$204$	−0.0223450	+	0.0613923i	−0.00156446	+	0.00429832i
$205$	1.07980	+	0.190398i	0.0754166	+	0.0132980i
$206$	−2.13078	+	5.85428i	−0.148459	+	0.407887i
$207$	−1.01569	+	0.852269i	−0.0705957	+	0.0592368i
$208$	−2.83893	+	4.91717i	−0.196845	+	0.340945i
$209$	13.1067	+	13.1474i	0.906613	+	0.909427i
$210$	−0.0880425	+	0.425251i	−0.00607551	+	0.0293451i
$211$	−2.57372	+	0.453817i	−0.177182	+	0.0312421i	−0.261535	−	0.965194i	$-0.584229\pi$
$211$	−2.57372	+	0.453817i	−0.177182	+	0.0312421i	0.0843529	+	0.996436i	$0.473118\pi$
$212$	1.71412	−	0.302245i	0.117726	−	0.0207583i
$213$	5.92447	−	7.06051i	0.405938	−	0.483778i
$214$	1.98511	+	11.2581i	0.135700	+	0.769591i
$215$	0.205115	+	0.563550i	0.0139888	+	0.0384338i
$216$	−0.866025	−	0.500000i	−0.0589256	−	0.0340207i
$217$	−3.30072	+	15.9427i	−0.224068	+	1.08226i
$218$	−1.86597	+	10.5825i	−0.126380	+	0.716735i
$219$	−9.02735	+	10.7584i	−0.610011	+	0.726983i
$220$	−0.605407	−	0.349532i	−0.0408165	−	0.0235654i
$221$		−	0.370948i		−	0.0249527i
$222$	−0.103558	+	0.0376919i	−0.00695033	+	0.00252971i
$223$	−4.59098	−	1.67098i	−0.307435	−	0.111897i	0.183696	−	0.982983i	$-0.441194\pi$
$223$	−4.59098	−	1.67098i	−0.307435	−	0.111897i	−0.491130	+	0.871086i	$0.663416\pi$
$224$	−0.978132	+	2.45830i	−0.0653542	+	0.164252i
$225$	3.80958	−	3.19662i	0.253972	−	0.213108i
$226$	−8.55576	−	3.11404i	−0.569120	−	0.207143i
$227$	9.99100	+	17.3049i	0.663126	+	1.14857i	0.979790	+	0.200030i	$0.0641039\pi$
$227$	9.99100	+	17.3049i	0.663126	+	1.14857i	−0.316664	+	0.948538i	$0.602563\pi$
$228$	4.21212	−	1.12164i	0.278954	−	0.0742825i
$229$	−6.68916	−	3.86199i	−0.442032	−	0.255208i	0.262427	−	0.964952i	$-0.415477\pi$
$229$	−6.68916	−	3.86199i	−0.442032	−	0.255208i	−0.704459	+	0.709744i	$0.748810\pi$
$230$	0.0377911	+	0.214324i	0.00249187	+	0.0141321i
$231$	5.34265	+	9.92116i	0.351520	+	0.652764i
$232$	−3.92564	+	1.42882i	−0.257731	+	0.0938064i
$233$	−17.8060	+	14.9410i	−1.16651	+	0.978820i	−0.999974	−	0.00721506i	$-0.997703\pi$
$233$	−17.8060	+	14.9410i	−1.16651	+	0.978820i	−0.166538	+	0.986035i	$0.553259\pi$
$234$	5.59160	+	0.985951i	0.365535	+	0.0644536i
$235$	−0.908529			−0.0592659
$236$	2.21286			0.144045
$237$	−2.36522	−	0.417052i	−0.153638	−	0.0270904i
$238$	−0.0249612	−	0.171041i	−0.00161799	−	0.0110870i
$239$	5.93528	+	10.2802i	0.383921	+	0.664971i	0.991619	−	0.129198i	$-0.0412401\pi$
$239$	5.93528	+	10.2802i	0.383921	+	0.664971i	−0.607698	+	0.794168i	$0.707907\pi$
$240$	−0.142148	+	0.0820691i	−0.00917561	+	0.00529754i
$241$	3.22685	−	18.3004i	0.207859	−	1.17883i	−0.685017	−	0.728527i	$-0.740205\pi$
$241$	3.22685	−	18.3004i	0.207859	−	1.17883i	0.892876	−	0.450302i	$-0.148684\pi$
$242$	−7.03057	+	1.23968i	−0.451942	+	0.0796896i
$243$	−0.173648	+	0.984808i	−0.0111395	+	0.0631754i
$244$	7.42587	+	8.84981i	0.475393	+	0.566551i
$245$	−0.328359	−	1.10105i	−0.0209781	−	0.0703434i
$246$		−	6.68010i		−	0.425907i
$247$	−20.2954	+	14.1641i	−1.29136	+	0.901243i
$248$	−5.32914	+	3.07678i	−0.338401	+	0.195376i
$249$	−9.64726	−	11.4972i	−0.611370	−	0.728603i
$250$	−0.284255	−	1.61209i	−0.0179779	−	0.101958i
$251$	−2.56405	−	7.04467i	−0.161841	−	0.444656i	0.832092	−	0.554637i	$-0.187143\pi$
$251$	−2.56405	−	7.04467i	−0.161841	−	0.444656i	−0.993934	+	0.109982i	$0.964921\pi$
$252$	2.64459	+	0.0783542i	0.166594	+	0.00493585i
$253$	4.32584	+	3.62981i	0.271963	+	0.228204i
$254$	7.64978	+	13.2498i	0.479990	+	0.831367i
$255$	0.00536176	−	0.00928685i	0.000335767	−	0.000581565i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	−5.68091	−	4.76685i	−0.354365	−	0.297348i	0.448175	−	0.893946i	$-0.352074\pi$
$257$	−5.68091	−	4.76685i	−0.354365	−	0.297348i	−0.802540	+	0.596598i	$0.796519\pi$
$258$	3.16423	−	1.82687i	0.196996	−	0.113736i
$259$	0.193951	−	0.217708i	0.0120515	−	0.0135277i
$260$	0.599049	−	0.713919i	0.0371514	−	0.0442754i
$261$	2.68530	+	3.20021i	0.166216	+	0.198088i
$262$	1.74466	+	1.46394i	0.107785	+	0.0904426i
$263$	11.2335	+	4.08866i	0.692688	+	0.252118i	0.664286	−	0.747479i	$-0.268736\pi$
$263$	11.2335	+	4.08866i	0.692688	+	0.252118i	0.0284023	+	0.999597i	$0.490958\pi$
$264$	−1.45666	+	4.00215i	−0.0896513	+	0.246315i
$265$	−0.285692			−0.0175499
$266$	−8.40493	+	7.89666i	−0.515339	+	0.484175i
$267$	15.6070			0.955136
$268$	−2.92708	+	8.04209i	−0.178800	+	0.491249i
$269$	4.32394	+	1.57379i	0.263635	+	0.0959555i	0.470456	−	0.882423i	$-0.344089\pi$
$269$	4.32394	+	1.57379i	0.263635	+	0.0959555i	−0.206821	+	0.978379i	$0.566312\pi$
$270$	0.125737	+	0.105506i	0.00765212	+	0.00642089i
$271$	10.6196	+	12.6560i	0.645097	+	0.768797i	0.985166	−	0.171604i	$-0.0548949\pi$
$271$	10.6196	+	12.6560i	0.645097	+	0.768797i	−0.340069	+	0.940400i	$0.610450\pi$
$272$	0.0419948	−	0.0500474i	0.00254631	−	0.00303457i
$273$	−14.2622	+	4.71759i	−0.863190	+	0.285522i
$274$	−5.39235	+	3.11327i	−0.325764	+	0.188080i
$275$	−16.2250	−	13.6144i	−0.978404	−	0.820978i
$276$	1.24593	−	0.453483i	0.0749964	−	0.0272965i
$277$	14.5596	−	25.2179i	0.874800	−	1.51520i	0.0178237	−	0.999841i	$-0.494326\pi$
$277$	14.5596	−	25.2179i	0.874800	−	1.51520i	0.856976	−	0.515356i	$-0.172340\pi$
$278$	−9.13523	−	15.8227i	−0.547895	−	0.948981i
$279$	4.71390	+	3.95544i	0.282214	+	0.236806i
$280$	0.228177	−	0.369492i	0.0136362	−	0.0220814i
$281$	−8.35435	−	22.9534i	−0.498379	−	1.36928i	−0.892841	−	0.450372i	$-0.851291\pi$
$281$	−8.35435	−	22.9534i	−0.498379	−	1.36928i	0.394462	−	0.918912i	$-0.370931\pi$
$282$	0.961168	+	5.45105i	0.0572367	+	0.324606i
$283$	−14.3356	−	17.0845i	−0.852163	−	1.01557i	−0.999649	−	0.0265039i	$-0.991563\pi$
$283$	−14.3356	−	17.0845i	−0.852163	−	1.01557i	0.147486	−	0.989064i	$-0.452882\pi$
$284$	−7.98202	+	4.60842i	−0.473646	+	0.273460i
$285$	−0.712835	+	0.0612521i	−0.0422247	+	0.00362826i
$286$		−	24.1820i		−	1.42991i
$287$	8.37977	+	15.5610i	0.494642	+	0.918538i
$288$	0.642788	+	0.766044i	0.0378766	+	0.0451396i
$289$	2.95128	−	16.7375i	0.173605	−	0.984560i
$290$	0.675283	−	0.119071i	0.0396540	−	0.00699207i
$291$	0.229860	−	1.30360i	0.0134746	−	0.0764185i
$292$	12.1625	−	7.02203i	0.711757	−	0.410933i
$293$	−8.12378	−	14.0708i	−0.474596	−	0.822025i	0.524980	−	0.851114i	$-0.324073\pi$
$293$	−8.12378	−	14.0708i	−0.474596	−	0.822025i	−0.999577	+	0.0290892i	$0.990739\pi$
$294$	−6.25876	+	3.13495i	−0.365018	+	0.182834i
$295$	−0.357697	−	0.0630716i	−0.0208259	−	0.00367217i
$296$	0.110204			0.00640546
$297$	4.25899			0.247132
$298$	0.800591	+	0.141166i	0.0463770	+	0.00817751i
$299$	−5.76698	+	4.83907i	−0.333513	+	0.279851i
$300$	−4.67315	+	1.70089i	−0.269804	+	0.0982007i
$301$	−5.07925	+	8.22494i	−0.292763	+	0.474078i
$302$	0.511285	+	2.89964i	0.0294212	+	0.166856i
$303$	12.3566	+	7.13408i	0.709868	+	0.409842i
$304$	−4.34172	−	0.386631i	−0.249015	−	0.0221748i
$305$	−0.948112	−	1.64218i	−0.0542888	−	0.0940309i
$306$	−0.0613923	−	0.0223450i	−0.00350956	−	0.00127738i
$307$	−5.07764	+	4.26064i	−0.289796	+	0.243168i	−0.776082	−	0.630632i	$-0.782796\pi$
$307$	−5.07764	+	4.26064i	−0.289796	+	0.243168i	0.486286	+	0.873800i	$0.338351\pi$
$308$	−1.62721	−	11.1501i	−0.0927189	−	0.635338i
$309$	−5.85428	−	2.13078i	−0.333038	−	0.121216i
$310$	0.949123	−	0.345452i	0.0539066	−	0.0196204i
$311$		−	19.7243i		−	1.11846i	−0.829011	−	0.559232i	$-0.811096\pi$
$311$		−	19.7243i		−	1.11846i	0.829011	−	0.559232i	$-0.188904\pi$
$312$	−4.91717	−	2.83893i	−0.278380	−	0.160723i
$313$	11.9406	−	14.2302i	0.674922	−	0.804341i	−0.314523	−	0.949250i	$-0.601844\pi$
$313$	11.9406	−	14.2302i	0.674922	−	0.804341i	0.989445	+	0.144909i	$0.0462889\pi$
$314$	0.115455	−	0.654779i	0.00651551	−	0.0369513i
$315$	−0.425251	−	0.0880425i	−0.0239602	−	0.00496063i
$316$	2.07994	+	1.20085i	0.117006	+	0.0675533i
$317$	7.56440	+	20.7830i	0.424859	+	1.16729i	0.948894	+	0.315594i	$0.102204\pi$
$317$	7.56440	+	20.7830i	0.424859	+	1.16729i	−0.524035	+	0.851697i	$0.675574\pi$
$318$	0.302245	+	1.71412i	0.0169491	+	0.0961229i
$319$	11.4367	−	13.6297i	0.640330	−	0.763116i
$320$	0.161645	−	0.0285023i	0.00903621	−	0.00159333i
$321$	−11.2581	+	1.98511i	−0.628368	+	0.110798i
$322$	−2.33349	+	2.61932i	−0.130040	+	0.145969i
$323$	0.258282	−	0.119952i	0.0143712	−	0.00667430i
$324$	0.500000	−	0.866025i	0.0277778	−	0.0481125i
$325$	21.6303	−	18.1500i	1.19983	−	1.00678i
$326$	−6.58048	+	18.0797i	−0.364459	+	1.00134i
$327$	−10.5825	−	1.86597i	−0.585212	−	0.103189i
$328$	−2.28473	+	6.27724i	−0.126153	+	0.346603i
$329$	−9.07702	−	11.4923i	−0.500432	−	0.633590i
$330$	0.349532	−	0.605407i	0.0192411	−	0.0333266i
$331$			10.7340i			0.589993i	0.955498	+	0.294996i	$0.0953184\pi$
$331$			10.7340i			0.589993i	−0.955498	+	0.294996i	$0.904682\pi$
$332$	5.13320	+	14.1034i	0.281721	+	0.774022i
$333$	−0.0376919	−	0.103558i	−0.00206550	−	0.00567492i
$334$			14.8318i			0.811557i
$335$	0.702365	−	1.21653i	0.0383743	−	0.0664662i
$336$	−2.45830	−	0.978132i	−0.134111	−	0.0533615i
$337$	0.0529375	−	0.145444i	0.00288369	−	0.00792287i	−0.938242	−	0.345979i	$-0.887547\pi$
$337$	0.0529375	−	0.145444i	0.00288369	−	0.00792287i	0.941126	+	0.338056i	$0.109769\pi$
$338$	18.9459	+	3.34067i	1.03052	+	0.181708i
$339$	3.11404	−	8.55576i	0.169131	−	0.464685i
$340$	−0.00821470	+	0.00689295i	−0.000445505	+	0.000373823i
$341$	13.1040	−	22.6968i	0.709621	−	1.22910i
$342$	1.12164	+	4.21212i	0.0606514	+	0.227765i
$343$	10.6469	−	15.1540i	0.574880	−	0.818238i
$344$	−3.59823	+	0.634464i	−0.194003	+	0.0342080i
$345$	−0.214324	+	0.0377911i	−0.0115388	+	0.00203460i
$346$	−1.29229	+	1.54009i	−0.0694739	+	0.0827957i
$347$	4.46273	+	25.3094i	0.239572	+	1.35868i	0.832768	+	0.553622i	$0.186755\pi$
$347$	4.46273	+	25.3094i	0.239572	+	1.35868i	−0.593196	+	0.805058i	$0.702134\pi$
$348$	−1.42882	−	3.92564i	−0.0765926	−	0.210436i
$349$	31.0073	+	17.9020i	1.65978	+	0.958274i	0.972815	+	0.231584i	$0.0743909\pi$
$349$	31.0073	+	17.9020i	1.65978	+	0.958274i	0.686965	+	0.726690i	$0.258942\pi$
$350$	8.75225	−	9.82432i	0.467827	−	0.525132i
$351$	−0.985951	+	5.59160i	−0.0526262	+	0.298458i
$352$	2.73763	−	3.26258i	0.145916	−	0.173896i
$353$	16.4405	+	9.49195i	0.875042	+	0.505206i	0.869020	−	0.494776i	$-0.164750\pi$
$353$	16.4405	+	9.49195i	0.875042	+	0.505206i	0.00602128	+	0.999982i	$0.498083\pi$
$354$			2.21286i			0.117612i
$355$	1.42160	−	0.517421i	0.0754508	−	0.0274618i
$356$	−14.6658	−	5.33792i	−0.777287	−	0.282909i
$357$	0.171041	−	0.0249612i	0.00905246	−	0.00132108i
$358$	−8.16344	+	6.84994i	−0.431451	+	0.362031i
$359$	−18.6735	−	6.79659i	−0.985548	−	0.358710i	−0.201553	−	0.979478i	$-0.564599\pi$
$359$	−18.6735	−	6.79659i	−0.985548	−	0.358710i	−0.783995	+	0.620767i	$0.786821\pi$
$360$	−0.0820691	−	0.142148i	−0.00432542	−	0.00749185i
$361$	−16.4250	−	9.55095i	−0.864472	−	0.502681i
$362$	−15.9813	−	9.22679i	−0.839957	−	0.484949i
$363$	−1.23968	−	7.03057i	−0.0650663	−	0.369009i
$364$	15.0156	+	0.444885i	0.787033	+	0.0233183i
$365$	−2.16615	+	0.788413i	−0.113381	+	0.0412674i
$366$	−8.84981	+	7.42587i	−0.462587	+	0.388157i
$367$	11.7534	+	2.07244i	0.613521	+	0.108180i	0.471769	−	0.881722i	$-0.343616\pi$
$367$	11.7534	+	2.07244i	0.613521	+	0.108180i	0.141751	+	0.989902i	$0.454727\pi$
$368$	−1.32590			−0.0691171
$369$	6.68010			0.347752
$370$	−0.0178138	−	0.00314106i	−0.000926096	−	0.000163296i
$371$	−2.85432	−	3.61382i	−0.148189	−	0.187620i
$372$	−3.07678	−	5.32914i	−0.159524	−	0.276303i
$373$	4.62603	−	2.67084i	0.239527	−	0.138291i	−0.375432	−	0.926850i	$-0.622506\pi$
$373$	4.62603	−	2.67084i	0.239527	−	0.138291i	0.614959	+	0.788559i	$0.289172\pi$
$374$	−0.0483176	+	0.274023i	−0.00249844	+	0.0141694i
$375$	1.61209	−	0.284255i	0.0832480	−	0.0146789i
$376$	0.961168	−	5.45105i	0.0495685	−	0.281117i
$377$	15.2468	+	18.1704i	0.785248	+	0.935822i
$378$	−0.0783542	+	2.64459i	−0.00403011	+	0.136023i
$379$			6.63479i			0.340806i	0.985374	+	0.170403i	$0.0545070\pi$
$379$			6.63479i			0.340806i	−0.985374	+	0.170403i	$0.945493\pi$
$380$	0.690795	+	0.186246i	0.0354371	+	0.00955421i
$381$	−13.2498	+	7.64978i	−0.678808	+	0.391910i
$382$	0.688011	+	0.819940i	0.0352017	+	0.0419518i
$383$	−3.95540	−	22.4322i	−0.202112	−	1.14623i	−0.901921	−	0.431902i	$-0.857843\pi$
$383$	−3.95540	−	22.4322i	−0.202112	−	1.14623i	0.699809	−	0.714330i	$-0.253268\pi$
$384$	−0.342020	−	0.939693i	−0.0174536	−	0.0479535i
$385$	−0.0547746	+	1.84874i	−0.00279157	+	0.0942204i
$386$	10.4044	+	8.73032i	0.529569	+	0.444362i
$387$	1.82687	+	3.16423i	0.0928649	+	0.160847i
$388$	−0.661856	+	1.14637i	−0.0336006	+	0.0581980i
$389$	25.2230	−	9.18043i	1.27886	−	0.465466i	0.388803	−	0.921321i	$-0.372889\pi$
$389$	25.2230	−	9.18043i	1.27886	−	0.465466i	0.890054	+	0.455855i	$0.150666\pi$
$390$	0.713919	+	0.599049i	0.0361507	+	0.0303340i
$391$	0.0750184	−	0.0433119i	0.00379384	−	0.00219038i
$392$	6.95353	−	0.805271i	0.351206	−	0.0406723i
$393$	−1.46394	+	1.74466i	−0.0738461	+	0.0880063i
$394$	−16.3926	−	19.5360i	−0.825849	−	0.984209i
$395$	−0.301984	−	0.253395i	−0.0151945	−	0.0127497i
$396$	−4.00215	−	1.45666i	−0.201115	−	0.0732000i
$397$	7.35901	−	20.2187i	0.369338	−	1.01475i	−0.606276	−	0.795255i	$-0.707337\pi$
$397$	7.35901	−	20.2187i	0.369338	−	1.01475i	0.975614	−	0.219494i	$-0.0704406\pi$
$398$	13.6829			0.685863
$399$	−7.89666	−	8.40493i	−0.395327	−	0.420773i
$400$	4.97306			0.248653
$401$	8.73848	−	24.0088i	0.436379	−	1.19894i	−0.505452	−	0.862854i	$-0.668674\pi$
$401$	8.73848	−	24.0088i	0.436379	−	1.19894i	0.941831	−	0.336086i	$-0.109103\pi$
$402$	−8.04209	−	2.92708i	−0.401103	−	0.145989i
$403$	26.7649	+	22.4584i	1.33326	+	1.11873i
$404$	−9.17140	−	10.9301i	−0.456294	−	0.543790i
$405$	−0.105506	+	0.125737i	−0.00524264	+	0.00624793i
$406$	8.25285	+	7.35226i	0.409582	+	0.364887i
$407$	−0.406475	+	0.234678i	−0.0201482	+	0.0116326i
$408$	0.0500474	+	0.0419948i	0.00247772	+	0.00207905i
$409$	10.1643	−	3.69950i	0.502593	−	0.182929i	−0.0782671	−	0.996932i	$-0.524939\pi$
$409$	10.1643	−	3.69950i	0.502593	−	0.182929i	0.580860	+	0.814004i	$0.302716\pi$
$410$	0.548230	−	0.949562i	0.0270751	−	0.0468955i
$411$	−3.11327	−	5.39235i	−0.153566	−	0.265985i
$412$	4.77245	+	4.00456i	0.235122	+	0.197291i
$413$	−2.77590	−	5.15477i	−0.136593	−	0.253650i
$414$	0.453483	+	1.24593i	0.0222875	+	0.0612343i
$415$	−0.427776	−	2.42604i	−0.0209987	−	0.119090i
$416$	3.64966	+	4.34950i	0.178939	+	0.213252i
$417$	15.8227	−	9.13523i	0.774840	−	0.447354i
$418$	16.8373	−	7.81963i	0.823540	−	0.382470i
$419$			20.4427i			0.998692i	0.866403	+	0.499346i	$0.166426\pi$
$419$			20.4427i			0.998692i	−0.866403	+	0.499346i	$0.833574\pi$
$420$	0.369492	+	0.228177i	0.0180294	+	0.0111339i
$421$	9.52411	+	11.3504i	0.464177	+	0.553184i	0.946456	−	0.322833i	$-0.104635\pi$
$421$	9.52411	+	11.3504i	0.464177	+	0.553184i	−0.482279	+	0.876018i	$0.660191\pi$
$422$	−0.453817	+	2.57372i	−0.0220915	+	0.125287i
$423$	−5.45105	+	0.961168i	−0.265039	+	0.0467336i
$424$	0.302245	−	1.71412i	0.0146783	−	0.0832448i
$425$	−0.281373	+	0.162451i	−0.0136486	+	0.00788002i
$426$	−4.60842	−	7.98202i	−0.223279	−	0.386730i
$427$	11.3000	−	28.3998i	0.546844	−	1.37436i
$428$	11.2581	+	1.98511i	0.544183	+	0.0959541i
$429$	24.1820			1.16752
$430$	0.599718			0.0289209
$431$	−23.4326	−	4.13181i	−1.12871	−	0.199022i	−0.422049	−	0.906573i	$-0.638689\pi$
$431$	−23.4326	−	4.13181i	−1.12871	−	0.199022i	−0.706662	+	0.707551i	$0.749800\pi$
$432$	−0.766044	+	0.642788i	−0.0368563	+	0.0309261i
$433$	−5.33810	+	1.94291i	−0.256533	+	0.0933703i	−0.467085	−	0.884212i	$-0.654696\pi$
$433$	−5.33810	+	1.94291i	−0.256533	+	0.0933703i	0.210553	+	0.977583i	$0.432474\pi$
$434$	13.8523	+	8.55439i	0.664933	+	0.410624i
$435$	0.119071	+	0.675283i	0.00570900	+	0.0323774i
$436$	9.30606	+	5.37286i	0.445680	+	0.257313i
$437$	−5.23417	−	2.45061i	−0.250384	−	0.117229i
$438$	7.02203	+	12.1625i	0.335525	+	0.581147i
$439$	−7.34157	−	2.67211i	−0.350394	−	0.127533i	0.160826	−	0.986983i	$-0.448584\pi$
$439$	−7.34157	−	2.67211i	−0.350394	−	0.127533i	−0.511220	+	0.859450i	$0.670806\pi$
$440$	−0.535514	+	0.449350i	−0.0255296	+	0.0214219i
$441$	−3.13495	−	6.25876i	−0.149284	−	0.298036i
$442$	−0.348577	−	0.126872i	−0.0165801	−	0.00603467i
$443$	25.9114	−	9.43097i	1.23109	−	0.448079i	0.357117	−	0.934060i	$-0.383760\pi$
$443$	25.9114	−	9.43097i	1.23109	−	0.448079i	0.873970	+	0.485981i	$0.161537\pi$
$444$			0.110204i			0.00523003i
$445$	2.21851	+	1.28086i	0.105167	+	0.0607184i
$446$	−3.14042	+	3.74260i	−0.148703	+	0.177217i
$447$	−0.141166	+	0.800591i	−0.00667691	+	0.0378666i
$448$	1.97551	+	1.75993i	0.0933340	+	0.0831490i
$449$	−21.4033	−	12.3572i	−1.01009	−	0.583173i	−0.0988686	−	0.995100i	$-0.531522\pi$
$449$	−21.4033	−	12.3572i	−1.01009	−	0.583173i	−0.911217	+	0.411928i	$0.864856\pi$
$450$	−1.70089	−	4.67315i	−0.0801805	−	0.220294i
$451$	−4.94038	−	28.0183i	−0.232633	−	1.31933i
$452$	−5.85248	+	6.97472i	−0.275278	+	0.328063i
$453$	−2.89964	+	0.511285i	−0.136237	+	0.0240223i
$454$	19.6784	−	3.46984i	0.923554	−	0.162848i
$455$	−2.41451	−	0.499893i	−0.113194	−	0.0234354i
$456$	0.386631	−	4.34172i	0.0181057	−	0.203320i
$457$	−10.9994	+	19.0515i	−0.514529	+	0.891191i	0.485329	+	0.874332i	$0.338700\pi$
$457$	−10.9994	+	19.0515i	−0.514529	+	0.891191i	−0.999858	+	0.0168589i	$0.994633\pi$
$458$	−5.91691	+	4.96488i	−0.276479	+	0.231994i
$459$	0.0223450	−	0.0613923i	0.00104297	−	0.00286555i
$460$	0.214324	+	0.0377911i	0.00999290	+	0.00176202i
$461$	9.19174	−	25.2541i	0.428102	−	1.17620i	−0.518861	−	0.854859i	$-0.673644\pi$
$461$	9.19174	−	25.2541i	0.428102	−	1.17620i	0.946963	−	0.321342i	$-0.104134\pi$
$462$	11.1501	−	1.62721i	0.518751	−	0.0757047i
$463$	5.62625	−	9.74494i	0.261474	−	0.452886i	−0.705160	−	0.709048i	$-0.749125\pi$
$463$	5.62625	−	9.74494i	0.261474	−	0.452886i	0.966634	+	0.256162i	$0.0824582\pi$
$464$			4.17758i			0.193939i
$465$	0.345452	+	0.949123i	0.0160200	+	0.0440145i
$466$	7.94996	+	21.8423i	0.368275	+	1.01183i
$467$		−	38.4056i		−	1.77720i	−0.458682	−	0.888600i	$-0.651678\pi$
$467$		−	38.4056i		−	1.77720i	0.458682	−	0.888600i	$-0.348322\pi$
$468$	2.83893	−	4.91717i	0.131230	−	0.227296i
$469$	22.4056	−	3.26979i	1.03459	−	0.150985i
$470$	−0.310735	+	0.853738i	−0.0143331	+	0.0393800i
$471$	0.654779	+	0.115455i	0.0301706	+	0.00531989i
$472$	0.756843	−	2.07941i	0.0348365	−	0.0957125i
$473$	11.9206	−	10.0026i	0.548110	−	0.459919i
$474$	−1.20085	+	2.07994i	−0.0551570	+	0.0955348i
$475$	19.6319	+	9.19155i	0.900772	+	0.421737i
$476$	−0.169263	−	0.0350437i	−0.00775818	−	0.00160623i
$477$	−1.71412	+	0.302245i	−0.0784840	+	0.0138388i
$478$	11.6902	−	2.06130i	0.534698	−	0.0942816i
$479$	−0.627919	+	0.748324i	−0.0286903	+	0.0341918i	−0.780199	−	0.625532i	$-0.784882\pi$
$479$	−0.627919	+	0.748324i	−0.0286903	+	0.0341918i	0.751508	+	0.659723i	$0.229327\pi$
$480$	0.0285023	+	0.161645i	0.00130095	+	0.00737803i
$481$	−0.214009	−	0.587986i	−0.00975798	−	0.0268098i
$482$	−16.0931	−	9.29133i	−0.733019	−	0.423209i
$483$	−2.61932	−	2.33349i	−0.119183	−	0.106177i
$484$	−1.23968	+	7.03057i	−0.0563491	+	0.319572i
$485$	0.139660	−	0.166440i	0.00634161	−	0.00755764i
$486$	0.866025	+	0.500000i	0.0392837	+	0.0226805i
$487$		−	10.2180i		−	0.463020i	−0.972833	−	0.231510i	$-0.925633\pi$
$487$		−	10.2180i		−	0.463020i	0.972833	−	0.231510i	$-0.0743666\pi$
$488$	10.8559	−	3.95123i	0.491424	−	0.178864i
$489$	−18.0797	−	6.58048i	−0.817593	−	0.297579i
$490$	−1.14695	−	0.0680238i	−0.0518140	−	0.00307300i
$491$	−15.5735	+	13.0677i	−0.702823	+	0.589739i	−0.922575	−	0.385817i	$-0.873920\pi$
$491$	−15.5735	+	13.0677i	−0.702823	+	0.589739i	0.219752	+	0.975556i	$0.429475\pi$
$492$	−6.27724	−	2.28473i	−0.283000	−	0.103003i
$493$	−0.136465	−	0.236365i	−0.00614610	−	0.0106453i
$494$	6.36852	+	23.9158i	0.286533	+	1.07602i
$495$	0.605407	+	0.349532i	0.0272110	+	0.0157103i
$496$	1.06856	+	6.06008i	0.0479796	+	0.272106i
$497$	20.7481	+	12.8128i	0.930679	+	0.574733i
$498$	−14.1034	+	5.13320i	−0.631986	+	0.230024i
$499$	−28.6591	+	24.0479i	−1.28296	+	1.07653i	−0.290130	+	0.956987i	$0.593699\pi$
$499$	−28.6591	+	24.0479i	−1.28296	+	1.07653i	−0.992829	+	0.119544i	$0.961857\pi$
$500$	−1.61209	−	0.284255i	−0.0720949	−	0.0127123i
$501$	−14.8318			−0.662634
$502$	−7.49678			−0.334598
$503$	−33.3885	−	5.88729i	−1.48872	−	0.262501i	−0.630662	−	0.776058i	$-0.717217\pi$
$503$	−33.3885	−	5.88729i	−1.48872	−	0.262501i	−0.858056	+	0.513556i	$0.828328\pi$
$504$	0.978132	−	2.45830i	0.0435695	−	0.109502i
$505$	1.17098	+	2.02819i	0.0521077	+	0.0902532i
$506$	4.89043	−	2.82349i	0.217406	−	0.125519i
$507$	−3.34067	+	18.9459i	−0.148364	+	0.841416i
$508$	15.0671	−	2.65674i	0.668495	−	0.117874i
$509$	−6.34142	+	35.9640i	−0.281078	+	1.59408i	0.437887	+	0.899030i	$0.355727\pi$
$509$	−6.34142	+	35.9640i	−0.281078	+	1.59408i	−0.718966	+	0.695045i	$0.755384\pi$
$510$	−0.00689295	−	0.00821470i	−0.000305225	−	0.000363753i
$511$	−31.6147	−	19.5234i	−1.39855	−	0.863663i
$512$			1.00000i			0.0441942i
$513$	−4.21212	+	1.12164i	−0.185969	+	0.0495216i
$514$	−6.42235	+	3.70795i	−0.283278	+	0.163551i
$515$	−0.657302	−	0.783342i	−0.0289642	−	0.0345182i
$516$	−0.634464	−	3.59823i	−0.0279307	−	0.158403i
$517$	8.06284	+	22.1525i	0.354603	+	0.974264i
$518$	−0.138244	−	0.256715i	−0.00607408	−	0.0112794i
$519$	−1.54009	−	1.29229i	−0.0676024	−	0.0567252i
$520$	−0.465977	−	0.807096i	−0.0204345	−	0.0353935i
$521$	−15.7203	+	27.2283i	−0.688718	+	1.19290i	0.283534	+	0.958962i	$0.408493\pi$
$521$	−15.7203	+	27.2283i	−0.688718	+	1.19290i	−0.972253	+	0.233933i	$0.924840\pi$
$522$	3.92564	−	1.42882i	0.171821	−	0.0625376i
$523$	−10.1527	−	8.51915i	−0.443948	−	0.372516i	0.393237	−	0.919437i	$-0.371355\pi$
$523$	−10.1527	−	8.51915i	−0.443948	−	0.372516i	−0.837184	+	0.546921i	$0.815800\pi$
$524$	1.97236	−	1.13874i	0.0861631	−	0.0497463i
$525$	9.82432	+	8.75225i	0.428769	+	0.381980i
$526$	7.68417	−	9.15764i	0.335046	−	0.399292i
$527$	−0.258418	−	0.307970i	−0.0112569	−	0.0134154i
$528$	3.26258	+	2.73763i	0.141986	+	0.119140i
$529$	19.9610	+	7.26519i	0.867867	+	0.315878i
$530$	−0.0977125	+	0.268463i	−0.00424436	+	0.0116613i
$531$	−2.21286			−0.0960299
$532$	4.54578	+	10.5989i	0.197084	+	0.459519i
$533$	37.9287			1.64287
$534$	5.33792	−	14.6658i	0.230995	−	0.634652i
$535$	−1.76324	−	0.641766i	−0.0762314	−	0.0277460i
$536$	6.55597	+	5.50111i	0.283175	+	0.237612i
$537$	−6.84994	−	8.16344i	−0.295597	−	0.352279i
$538$	2.95775	−	3.52491i	0.127518	−	0.151970i
$539$	−23.9325	+	17.7777i	−1.03085	+	0.765739i
$540$	0.142148	−	0.0820691i	0.00611707	−	0.00353169i
$541$	5.66599	+	4.75433i	0.243600	+	0.204405i	0.756411	−	0.654097i	$-0.226951\pi$
$541$	5.66599	+	4.75433i	0.243600	+	0.204405i	−0.512811	+	0.858502i	$0.671396\pi$
$542$	15.5249	−	5.65059i	0.666850	−	0.242714i
$543$	9.22679	−	15.9813i	0.395959	−	0.685822i
$544$	−0.0326662	−	0.0565794i	−0.00140055	−	0.00242582i
$545$	−1.35114	−	1.13374i	−0.0578763	−	0.0485640i
$546$	−0.444885	+	15.0156i	−0.0190393	+	0.642610i
$547$	15.0957	+	41.4750i	0.645443	+	1.77334i	0.633909	+	0.773408i	$0.281450\pi$
$547$	15.0957	+	41.4750i	0.645443	+	1.77334i	0.0115348	+	0.999933i	$0.496328\pi$
$548$	1.08123	+	6.13195i	0.0461878	+	0.261944i
$549$	−7.42587	−	8.84981i	−0.316929	−	0.377701i
$550$	−18.3426	+	10.5901i	−0.782132	+	0.451564i
$551$	−7.72129	+	16.4916i	−0.328938	+	0.702566i
$552$		−	1.32590i		−	0.0564339i
$553$	0.188184	−	6.35153i	0.00800239	−	0.270095i
$554$	−18.7174	−	22.3066i	−0.795227	−	0.947715i
$555$	0.00314106	−	0.0178138i	0.000133330	−	0.000756154i
$556$	−17.9929	+	3.17263i	−0.763068	+	0.134550i
$557$	6.69252	−	37.9552i	0.283571	−	1.60821i	−0.426774	−	0.904358i	$-0.640350\pi$
$557$	6.69252	−	37.9552i	0.283571	−	1.60821i	0.710345	−	0.703853i	$-0.248539\pi$
$558$	5.32914	−	3.07678i	0.225601	−	0.130251i
$559$	10.3727	+	17.9661i	0.438719	+	0.759883i
$560$	−0.269168	−	0.340790i	−0.0113744	−	0.0144010i
$561$	−0.274023	−	0.0483176i	−0.0115692	−	0.00203997i
$562$	−24.4265			−1.03037
$563$	21.5889			0.909866			0.454933	−	0.890526i	$-0.349663\pi$
$563$	21.5889			0.909866			0.454933	+	0.890526i	$0.349663\pi$
$564$	5.45105	+	0.961168i	0.229531	+	0.0404725i
$565$	1.14482	−	0.960616i	0.0481628	−	0.0404134i
$566$	−20.9572	+	7.62781i	−0.880899	+	0.320621i
$567$	−2.64459	−	0.0783542i	−0.111062	−	0.00329057i
$568$	1.60049	+	9.07682i	0.0671550	+	0.380855i
$569$	−0.947563	−	0.547075i	−0.0397239	−	0.0229346i	0.480007	−	0.877265i	$-0.340634\pi$
$569$	−0.947563	−	0.547075i	−0.0397239	−	0.0229346i	−0.519730	+	0.854330i	$0.673968\pi$
$570$	−0.186246	+	0.690795i	−0.00780098	+	0.0289342i
$571$	−9.66758	−	16.7447i	−0.404575	−	0.700745i	0.589696	−	0.807625i	$-0.299247\pi$
$571$	−9.66758	−	16.7447i	−0.404575	−	0.700745i	−0.994272	+	0.106880i	$0.965914\pi$
$572$	−22.7236	−	8.27073i	−0.950123	−	0.345817i
$573$	−0.819940	+	0.688011i	−0.0342535	+	0.0287421i
$574$	17.4886	−	2.55223i	0.729961	−	0.106528i
$575$	6.19610	+	2.25520i	0.258395	+	0.0940482i
$576$	0.939693	−	0.342020i	0.0391539	−	0.0142508i
$577$			27.8064i			1.15759i	0.815472	+	0.578797i	$0.196478\pi$
$577$			27.8064i			1.15759i	−0.815472	+	0.578797i	$0.803522\pi$
$578$	−14.7187	−	8.49787i	−0.612219	−	0.353465i
$579$	−8.73032	+	10.4044i	−0.362820	+	0.432392i
$580$	0.119071	−	0.675283i	0.00494414	−	0.0280396i
$581$	26.4139	−	29.6494i	1.09583	−	1.23006i
$582$	−1.14637	−	0.661856i	−0.0475185	−	0.0274348i
$583$	2.53541	+	6.96597i	0.105006	+	0.288501i
$584$	−2.43872	−	13.8307i	−0.100915	−	0.572318i
$585$	−0.599049	+	0.713919i	−0.0247676	+	0.0295169i
$586$	−16.0007	+	2.82136i	−0.660984	+	0.116549i
$587$	−3.23231	+	0.569943i	−0.133412	+	0.0235241i	−0.239955	−	0.970784i	$-0.577133\pi$
$587$	−3.23231	+	0.569943i	−0.133412	+	0.0235241i	0.106544	+	0.994308i	$0.466022\pi$
$588$	0.805271	+	6.95353i	0.0332088	+	0.286759i
$589$	−6.98238	+	25.8980i	−0.287704	+	1.06711i
$590$	−0.181607	+	0.314553i	−0.00747666	+	0.0129500i
$591$	19.5360	−	16.3926i	0.803603	−	0.674303i
$592$	0.0376919	−	0.103558i	0.00154913	−	0.00425619i
$593$	3.01765	+	0.532093i	0.123920	+	0.0218504i	0.235264	−	0.971931i	$-0.424404\pi$
$593$	3.01765	+	0.532093i	0.123920	+	0.0218504i	−0.111344	+	0.993782i	$0.535516\pi$
$594$	1.45666	−	4.00215i	0.0597676	−	0.164210i
$595$	0.0263617	+	0.0104890i	0.00108072	+	0.000430008i
$596$	0.406471	−	0.704028i	0.0166497	−	0.0288381i
$597$			13.6829i			0.560005i
$598$	2.57482	+	7.07425i	0.105292	+	0.289287i
$599$	−14.5519	−	39.9810i	−0.594575	−	1.63358i	−0.761911	−	0.647681i	$-0.775739\pi$
$599$	−14.5519	−	39.9810i	−0.594575	−	1.63358i	0.167337	−	0.985900i	$-0.446483\pi$
$600$			4.97306i			0.203024i
$601$	−4.45794	+	7.72138i	−0.181843	+	0.314962i	−0.942508	−	0.334183i	$-0.891540\pi$
$601$	−4.45794	+	7.72138i	−0.181843	+	0.314962i	0.760665	+	0.649145i	$0.224873\pi$
$602$	5.99171	+	7.58603i	0.244204	+	0.309183i
$603$	2.92708	−	8.04209i	0.119200	−	0.327499i
$604$	2.89964	+	0.511285i	0.117985	+	0.0208039i
$605$	0.400775	−	1.10112i	0.0162938	−	0.0447669i
$606$	10.9301	−	9.17140i	0.444003	−	0.372563i
$607$	5.20264	−	9.01124i	0.211169	−	0.365755i	−0.740912	−	0.671602i	$-0.765606\pi$
$607$	5.20264	−	9.01124i	0.211169	−	0.365755i	0.952081	+	0.305847i	$0.0989397\pi$
$608$	−1.84827	+	3.94764i	−0.0749572	+	0.160098i
$609$	−7.35226	+	8.25285i	−0.297929	+	0.334422i
$610$	−1.86742	+	0.329276i	−0.0756095	+	0.0133320i
$611$	−30.9503	+	5.45738i	−1.25212	+	0.220782i
$612$	−0.0419948	+	0.0500474i	−0.00169754	+	0.00202305i
$613$	6.50204	+	36.8749i	0.262615	+	1.48936i	0.775742	+	0.631050i	$0.217376\pi$
$613$	6.50204	+	36.8749i	0.262615	+	1.48936i	−0.513127	+	0.858312i	$0.671513\pi$
$614$	2.26704	+	6.22864i	0.0914903	+	0.251368i
$615$	0.949562	+	0.548230i	0.0382900	+	0.0221068i
$616$	−11.0342	−	2.28449i	−0.444582	−	0.0920448i
$617$	5.90793	−	33.5055i	0.237844	−	1.34888i	−0.598696	−	0.800976i	$-0.704314\pi$
$617$	5.90793	−	33.5055i	0.237844	−	1.34888i	0.836540	−	0.547906i	$-0.184575\pi$
$618$	−4.00456	+	4.77245i	−0.161087	+	0.191976i
$619$	24.6794	+	14.2487i	0.991950	+	0.572702i	0.905857	−	0.423585i	$-0.139228\pi$
$619$	24.6794	+	14.2487i	0.991950	+	0.572702i	0.0860932	+	0.996287i	$0.472562\pi$
$620$		−	1.01004i		−	0.0405640i
$621$	−1.24593	+	0.453483i	−0.0499976	+	0.0181976i
$622$	−18.5348	−	6.74612i	−0.743179	−	0.270495i
$623$	5.96290	+	40.8596i	0.238899	+	1.63700i
$624$	−4.34950	+	3.64966i	−0.174119	+	0.146103i
$625$	−23.1132	−	8.41253i	−0.924530	−	0.336501i
$626$	−9.28813	−	16.0875i	−0.371228	−	0.642987i
$627$	7.81963	+	16.8373i	0.312286	+	0.672417i
$628$	−0.575803	−	0.332440i	−0.0229770	−	0.0132658i
$629$	0.00125024	+	0.00709047i	4.98504e−5	+	0.000282716i
$630$	−0.228177	+	0.369492i	−0.00909079	+	0.0147209i
$631$	22.6940	−	8.25993i	0.903432	−	0.328822i	0.151805	−	0.988410i	$-0.451491\pi$
$631$	22.6940	−	8.25993i	0.903432	−	0.328822i	0.751627	+	0.659588i	$0.229269\pi$
$632$	1.83981	−	1.54379i	0.0731839	−	0.0614086i
$633$	−2.57372	−	0.453817i	−0.102296	−	0.0180376i
$634$	22.1168			0.878371
$635$	−2.51124			−0.0996556
$636$	1.71412	+	0.302245i	0.0679691	+	0.0119848i
$637$	−17.7998	−	35.5364i	−0.705255	−	1.40800i
$638$	−8.89614	−	15.4086i	−0.352202	−	0.610031i
$639$	7.98202	−	4.60842i	0.315764	−	0.182306i
$640$	0.0285023	−	0.161645i	0.00112665	−	0.00638956i
$641$	−37.8806	+	6.67938i	−1.49620	+	0.263820i	−0.861029	−	0.508556i	$-0.830180\pi$
$641$	−37.8806	+	6.67938i	−1.49620	+	0.263820i	−0.635167	+	0.772375i	$0.719069\pi$
$642$	−1.98511	+	11.2581i	−0.0783462	+	0.444323i
$643$	21.8575	+	26.0488i	0.861978	+	1.02726i	0.999325	+	0.0367419i	$0.0116979\pi$
$643$	21.8575	+	26.0488i	0.861978	+	1.02726i	−0.137347	+	0.990523i	$0.543858\pi$
$644$	1.66325	+	3.08862i	0.0655414	+	0.121709i
$645$			0.599718i			0.0236139i
$646$	−0.0243803	−	0.283731i	−0.000959231	−	0.0111633i
$647$	13.7104	−	7.91570i	0.539011	−	0.311198i	−0.205667	−	0.978622i	$-0.565936\pi$
$647$	13.7104	−	7.91570i	0.539011	−	0.311198i	0.744678	+	0.667424i	$0.232603\pi$
$648$	−0.642788	−	0.766044i	−0.0252511	−	0.0300931i
$649$	1.63656	+	9.28138i	0.0642405	+	0.364326i
$650$	−9.65740	−	26.5335i	−0.378794	−	1.04073i
$651$	−8.55439	+	13.8523i	−0.335273	+	0.542916i
$652$	14.7387	+	12.3673i	0.577213	+	0.484339i
$653$	−15.8205	−	27.4018i	−0.619102	−	1.07232i	−0.989650	−	0.143503i	$-0.954163\pi$
$653$	−15.8205	−	27.4018i	−0.619102	−	1.07232i	0.370547	−	0.928814i	$-0.379170\pi$
$654$	−5.37286	+	9.30606i	−0.210095	+	0.363896i
$655$	−0.351279	+	0.127855i	−0.0137256	+	0.00499571i
$656$	5.11725	+	4.29388i	0.199795	+	0.167648i
$657$	−12.1625	+	7.02203i	−0.474505	+	0.273955i
$658$	−13.9037	+	4.59901i	−0.542024	+	0.179288i
$659$	−11.7793	+	14.0381i	−0.458858	+	0.546845i	−0.945015	−	0.327026i	$-0.893954\pi$
$659$	−11.7793	+	14.0381i	−0.458858	+	0.546845i	0.486158	+	0.873871i	$0.338398\pi$
$660$	−0.449350	−	0.535514i	−0.0174909	−	0.0208448i
$661$	−4.41413	−	3.70389i	−0.171690	−	0.144065i	0.552894	−	0.833252i	$-0.313523\pi$
$661$	−4.41413	−	3.70389i	−0.171690	−	0.144065i	−0.724584	+	0.689187i	$0.757968\pi$
$662$	10.0866	+	3.67124i	0.392028	+	0.142687i
$663$	0.126872	−	0.348577i	0.00492729	−	0.0135376i
$664$	15.0085			0.582442
$665$	−0.432708	−	1.84281i	−0.0167797	−	0.0714613i
$666$	−0.110204			−0.00427030
$667$	−1.89446	+	5.20499i	−0.0733538	+	0.201538i
$668$	13.9373	+	5.07276i	0.539250	+	0.196271i
$669$	−3.74260	−	3.14042i	−0.144697	−	0.121416i
$670$	−0.902943	−	1.07609i	−0.0348837	−	0.0415728i
$671$	−31.6268	+	37.6913i	−1.22094	+	1.45506i
$672$	−1.75993	+	1.97551i	−0.0678909	+	0.0762069i
$673$	15.6103	−	9.01258i	0.601731	−	0.347410i	−0.167991	−	0.985788i	$-0.553728\pi$
$673$	15.6103	−	9.01258i	0.601731	−	0.347410i	0.769722	+	0.638379i	$0.220395\pi$
$674$	−0.118567	−	0.0994899i	−0.00456705	−	0.00383221i
$675$	4.67315	−	1.70089i	0.179869	−	0.0654671i
$676$	9.61907	−	16.6607i	0.369964	−	0.640797i
$677$	12.8190	+	22.2032i	0.492675	+	0.853338i	0.999964	−	0.00843798i	$-0.00268592\pi$
$677$	12.8190	+	22.2032i	0.492675	+	0.853338i	−0.507290	+	0.861776i	$0.669353\pi$
$678$	−6.97472	−	5.85248i	−0.267862	−	0.224763i
$679$	3.50068	+	0.103718i	0.134344	+	0.00398035i
$680$	0.00366766	+	0.0100768i	0.000140648	+	0.000386428i
$681$	3.46984	+	19.6784i	0.132964	+	0.754079i
$682$	−16.8462	−	20.0765i	−0.645074	−	0.768769i
$683$	6.61340	−	3.81825i	0.253055	−	0.146101i	−0.368107	−	0.929783i	$-0.619994\pi$
$683$	6.61340	−	3.81825i	0.253055	−	0.146101i	0.621162	+	0.783682i	$0.286661\pi$
$684$	4.34172	+	0.386631i	0.166010	+	0.0147832i
$685$		−	1.02201i		−	0.0390491i
$686$	−10.5986	−	15.1878i	−0.404657	−	0.579873i
$687$	−4.96488	−	5.91691i	−0.189422	−	0.225744i
$688$	−0.634464	+	3.59823i	−0.0241887	+	0.137181i
$689$	−9.73252	+	1.71611i	−0.370779	+	0.0653784i
$690$	−0.0377911	+	0.214324i	−0.00143868	+	0.00815917i
$691$	−13.7889	+	7.96105i	−0.524556	+	0.302853i	−0.738797	−	0.673928i	$-0.764606\pi$
$691$	−13.7889	+	7.96105i	−0.524556	+	0.302853i	0.214241	+	0.976781i	$0.431272\pi$
$692$	1.00522	+	1.74110i	0.0382128	+	0.0661865i
$693$	1.62721	+	11.1501i	0.0618126	+	0.423558i
$694$	25.3094	+	4.46273i	0.960732	+	0.169403i
$695$	2.99888			0.113754
$696$	−4.17758			−0.158351
$697$	−0.429796	−	0.0757846i	−0.0162797	−	0.00287055i
$698$	27.4275	−	23.0144i	1.03815	−	0.871109i
$699$	−21.8423	+	7.94996i	−0.826153	+	0.300695i
$700$	−6.23840	−	11.5845i	−0.235789	−	0.437854i
$701$	3.88837	+	22.0521i	0.146862	+	0.832895i	0.965853	+	0.259089i	$0.0834224\pi$
$701$	3.88837	+	22.0521i	0.146862	+	0.832895i	−0.818991	+	0.573806i	$0.805466\pi$
$702$	4.91717	+	2.83893i	0.185587	+	0.107149i
$703$	0.340196	−	0.339144i	0.0128307	−	0.0127910i
$704$	−2.12950	−	3.68840i	−0.0802584	−	0.139012i
$705$	−0.853738	−	0.310735i	−0.0321536	−	0.0117030i
$706$	14.5425	−	12.2026i	0.547315	−	0.459251i
$707$	−13.9562	+	35.0755i	−0.524875	+	1.31915i
$708$	2.07941	+	0.756843i	0.0781489	+	0.0284439i
$709$	27.1528	−	9.88281i	1.01974	−	0.371157i	0.222577	−	0.974915i	$-0.428553\pi$
$709$	27.1528	−	9.88281i	1.01974	−	0.371157i	0.797167	+	0.603758i	$0.206331\pi$
$710$		−	1.51284i		−	0.0567757i
$711$	−2.07994	−	1.20085i	−0.0780038	−	0.0450355i
$712$	−10.0320	+	11.9557i	−0.375966	+	0.448058i
$713$	−1.41679	+	8.03503i	−0.0530593	+	0.300914i
$714$	0.0350437	−	0.169263i	0.00131148	−	0.00633452i
$715$	3.43742	+	1.98459i	0.128552	+	0.0742196i
$716$	3.64478	+	10.0139i	0.136212	+	0.374239i
$717$	2.06130	+	11.6902i	0.0769806	+	0.436579i
$718$	−12.7734	+	15.2228i	−0.476699	+	0.568108i
$719$	−42.7304	+	7.53452i	−1.59358	+	0.280990i	−0.898841	−	0.438276i	$-0.855589\pi$
$719$	−42.7304	+	7.53452i	−1.59358	+	0.280990i	−0.694735	+	0.719266i	$0.744478\pi$
$720$	−0.161645	+	0.0285023i	−0.00602414	+	0.00106222i
$721$	3.34172	−	16.1407i	0.124452	−	0.601112i
$722$	−14.5926	+	12.1678i	−0.543081	+	0.452839i
$723$	9.29133	−	16.0931i	0.345548	−	0.598507i
$724$	−14.1363	+	11.8617i	−0.525370	+	0.440838i
$725$	7.10559	−	19.5224i	0.263895	−	0.725045i
$726$	−7.03057	−	1.23968i	−0.260929	−	0.0460088i
$727$	1.79653	−	4.93593i	0.0666297	−	0.183064i	−0.901909	−	0.431926i	$-0.857834\pi$
$727$	1.79653	−	4.93593i	0.0666297	−	0.183064i	0.968539	+	0.248862i	$0.0800565\pi$
$728$	5.55370	−	13.9579i	0.205834	−	0.517315i
$729$	−0.500000	+	0.866025i	−0.0185185	+	0.0320750i
$730$			2.30517i			0.0853180i
$731$	−0.0816426	−	0.224311i	−0.00301966	−	0.00829645i
$732$	3.95123	+	10.8559i	0.146041	+	0.401246i
$733$			47.3812i			1.75006i	0.484065	+	0.875032i	$0.339160\pi$
$733$			47.3812i			1.75006i	−0.484065	+	0.875032i	$0.660840\pi$
$734$	5.96734	−	10.3357i	0.220259	−	0.381499i
$735$	0.0680238	−	1.14695i	0.00250909	−	0.0423060i
$736$	−0.453483	+	1.24593i	−0.0167156	+	0.0459257i
$737$	−35.8956	−	6.32937i	−1.32223	−	0.233145i
$738$	2.28473	−	6.27724i	0.0841020	−	0.231068i
$739$	−32.9476	+	27.6463i	−1.21200	+	1.01699i	−0.212794	+	0.977097i	$0.568256\pi$
$739$	−32.9476	+	27.6463i	−1.21200	+	1.01699i	−0.999204	+	0.0398902i	$0.987299\pi$
$740$	−0.00904431	+	0.0156652i	−0.000332476	+	0.000575865i
$741$	−23.9158	+	6.36852i	−0.878570	+	0.233954i
$742$	−4.37211	+	1.44619i	−0.160505	+	0.0530912i
$743$	9.12878	−	1.60965i	0.334902	−	0.0590523i	−0.00366831	−	0.999993i	$-0.501168\pi$
$743$	9.12878	−	1.60965i	0.334902	−	0.0590523i	0.338571	+	0.940941i	$0.390057\pi$
$744$	−6.06008	+	1.06856i	−0.222173	+	0.0391751i
$745$	−0.0857702	+	0.102217i	−0.00314238	+	0.00374494i
$746$	−0.927574	−	5.26053i	−0.0339609	−	0.192602i
$747$	−5.13320	−	14.1034i	−0.187814	−	0.516015i
$748$	0.240971	+	0.139125i	0.00881079	+	0.00508691i
$749$	−9.49840	−	28.7156i	−0.347064	−	1.04925i
$750$	0.284255	−	1.61209i	0.0103795	−	0.0588652i
$751$	13.7861	−	16.4297i	0.503063	−	0.599528i	−0.453426	−	0.891294i	$-0.649798\pi$
$751$	13.7861	−	16.4297i	0.503063	−	0.599528i	0.956490	+	0.291766i	$0.0942429\pi$
$752$	−4.79358	−	2.76757i	−0.174804	−	0.100923i
$753$		−	7.49678i		−	0.273198i
$754$	22.2893	−	8.11263i	0.811727	−	0.295444i
$755$	−0.454139	−	0.165293i	−0.0165278	−	0.00601563i
$756$	2.45830	+	0.978132i	0.0894076	+	0.0355743i
$757$	−13.6626	+	11.4643i	−0.496577	+	0.416678i	−0.856376	−	0.516352i	$-0.827290\pi$
$757$	−13.6626	+	11.4643i	−0.496577	+	0.416678i	0.359799	+	0.933030i	$0.382845\pi$
$758$	6.23466	+	2.26923i	0.226453	+	0.0824222i
$759$	2.82349	+	4.89043i	0.102486	+	0.177511i
$760$	0.411280	−	0.585436i	0.0149187	−	0.0212360i
$761$	34.3017	+	19.8041i	1.24344	+	0.717899i	0.969792	−	0.243932i	$-0.0784375\pi$
$761$	34.3017	+	19.8041i	1.24344	+	0.717899i	0.273645	+	0.961831i	$0.411771\pi$
$762$	2.65674	+	15.0671i	0.0962435	+	0.545824i
$763$	0.841972	−	28.4180i	0.0304814	−	1.02880i
$764$	1.00580	−	0.366083i	0.0363887	−	0.0132444i
$765$	0.00821470	−	0.00689295i	0.000297003	−	0.000249215i
$766$	−22.4322	−	3.95540i	−0.810509	−	0.142915i
$767$	−12.5643			−0.453671
$768$	−1.00000			−0.0360844
$769$	−4.42279	−	0.779858i	−0.159490	−	0.0281224i	0.0933329	−	0.995635i	$-0.470248\pi$
$769$	−4.42279	−	0.779858i	−0.159490	−	0.0281224i	−0.252823	+	0.967513i	$0.581359\pi$
$770$	1.71851	+	0.683777i	0.0619308	+	0.0246416i
$771$	−3.70795	−	6.42235i	−0.133538	−	0.231295i
$772$	11.7623	−	6.79098i	0.423335	−	0.244413i
$773$	−5.36671	+	30.4361i	−0.193027	+	1.09471i	0.722173	+	0.691712i	$0.243143\pi$
$773$	−5.36671	+	30.4361i	−0.193027	+	1.09471i	−0.915200	+	0.402999i	$0.867968\pi$
$774$	3.59823	−	0.634464i	0.129336	−	0.0228054i
$775$	5.31399	−	30.1371i	0.190884	−	1.08256i
$776$	0.850865	+	1.01402i	0.0305443	+	0.0364013i
$777$	0.256715	−	0.138244i	0.00920960	−	0.00495946i
$778$		−	26.8418i		−	0.962324i
$779$	12.2648	+	26.4088i	0.439433	+	0.946193i
$780$	0.807096	−	0.465977i	0.0288987	−	0.0166847i
$781$	−25.2323	−	30.0707i	−0.902883	−	1.07601i
$782$	−0.0150421	−	0.0853078i	−0.000537903	−	0.00305060i
$783$	1.42882	+	3.92564i	0.0510617	+	0.140291i
$784$	1.62154	−	6.80960i	0.0579121	−	0.243200i
$785$	0.0836001	+	0.0701488i	0.00298381	+	0.00250372i
$786$	1.13874	+	1.97236i	0.0406177	+	0.0703519i
$787$	17.4341	−	30.1968i	0.621460	−	1.07640i	−0.367754	−	0.929923i	$-0.619873\pi$
$787$	17.4341	−	30.1968i	0.621460	−	1.07640i	0.989214	−	0.146477i	$-0.0467935\pi$
$788$	−23.9644	+	8.72234i	−0.853698	+	0.310721i
$789$	9.15764	+	7.68417i	0.326021	+	0.273564i
$790$	−0.341398	+	0.197106i	−0.0121464	+	0.00701272i
$791$	23.5889	+	4.88377i	0.838725	+	0.173647i
$792$	−2.73763	+	3.26258i	−0.0972774	+	0.115931i
$793$	−42.1631	−	50.2480i	−1.49726	−	1.78436i
$794$	−16.4825	−	13.8304i	−0.584940	−	0.490823i
$795$	−0.268463	−	0.0977125i	−0.00952140	−	0.00346551i
$796$	4.67984	−	12.8578i	0.165872	−	0.455731i
$797$	−19.4982			−0.690662			−0.345331	−	0.938481i	$-0.612233\pi$
$797$	−19.4982			−0.690662			−0.345331	+	0.938481i	$0.612233\pi$
$798$	−10.5989	+	4.54578i	−0.375196	+	0.160919i
$799$	0.361624			0.0127933
$800$	1.70089	−	4.67315i	0.0601354	−	0.165221i
$801$	14.6658	+	5.33792i	0.518192	+	0.188606i
$802$	−19.5721	−	16.4230i	−0.691116	−	0.579915i
$803$	38.4474	+	45.8198i	1.35678	+	1.61695i
$804$	−5.50111	+	6.55597i	−0.194009	+	0.231211i
$805$	−0.180823	−	0.546665i	−0.00637318	−	0.0192674i
$806$	30.2582	−	17.4696i	1.06580	−	0.615339i
$807$	3.52491	+	2.95775i	0.124083	+	0.104118i
$808$	−13.4077	+	4.88000i	−0.471681	+	0.171678i
$809$	−1.16444	+	2.01686i	−0.0409394	+	0.0709092i	−0.885769	−	0.464126i	$-0.846368\pi$
$809$	−1.16444	+	2.01686i	−0.0409394	+	0.0709092i	0.844830	+	0.535035i	$0.179702\pi$
$810$	0.0820691	+	0.142148i	0.00288361	+	0.00499457i
$811$	15.2462	+	12.7931i	0.535366	+	0.449225i	0.869950	−	0.493141i	$-0.164151\pi$
$811$	15.2462	+	12.7931i	0.535366	+	0.449225i	−0.334584	+	0.942366i	$0.608596\pi$
$812$	9.73151	−	5.24052i	0.341509	−	0.183906i
$813$	5.65059	+	15.5249i	0.198175	+	0.544481i
$814$	0.0815029	+	0.462226i	0.00285668	+	0.0162010i
$815$	−2.02994	−	2.41919i	−0.0711056	−	0.0847404i
$816$	0.0565794	−	0.0326662i	0.00198068	−	0.00114354i
$817$	−9.15513	+	13.0319i	−0.320298	+	0.455927i
$818$		−	10.8166i		−	0.378195i
$819$	−15.0156	−	0.444885i	−0.524689	−	0.0155455i
$820$	−0.704790	−	0.839937i	−0.0246124	−	0.0293319i
$821$	6.36936	−	36.1225i	0.222292	−	1.26068i	−0.645502	−	0.763759i	$-0.723352\pi$
$821$	6.36936	−	36.1225i	0.222292	−	1.26068i	0.867794	−	0.496924i	$-0.165537\pi$
$822$	−6.13195	+	1.08123i	−0.213876	+	0.0377122i
$823$	−0.631629	+	3.58214i	−0.0220172	+	0.124866i	−0.993835	−	0.110866i	$-0.964638\pi$
$823$	−0.631629	+	3.58214i	−0.0220172	+	0.124866i	0.971818	+	0.235732i	$0.0757487\pi$
$824$	5.39533	−	3.11500i	0.187955	−	0.108516i
$825$	−10.5901	−	18.3426i	−0.368700	−	0.638608i
$826$	−5.79331	+	0.845455i	−0.201575	+	0.0294172i
$827$	−38.7376	−	6.83048i	−1.34704	−	0.237519i	−0.546831	−	0.837243i	$-0.684166\pi$
$827$	−38.7376	−	6.83048i	−1.34704	−	0.237519i	−0.800207	+	0.599724i	$0.795277\pi$
$828$	1.32590			0.0460781
$829$	−8.86463			−0.307881			−0.153941	−	0.988080i	$-0.549196\pi$
$829$	−8.86463			−0.307881			−0.153941	+	0.988080i	$0.549196\pi$
$830$	−2.42604	−	0.427776i	−0.0842090	−	0.0148483i
$831$	22.3066	−	18.7174i	0.773806	−	0.649300i
$832$	5.33545	−	1.94194i	0.184973	−	0.0673248i
$833$	0.130698	+	0.438253i	0.00452840	+	0.0151846i
$834$	−3.17263	−	17.9929i	−0.109859	−	0.623043i
$835$	−2.10830	−	1.21723i	−0.0729608	−	0.0421239i
$836$	−1.58935	−	18.4964i	−0.0549687	−	0.639710i
$837$	3.07678	+	5.32914i	0.106349	+	0.184202i
$838$	19.2099	+	6.99182i	0.663594	+	0.241528i
$839$	−26.7016	+	22.4053i	−0.921842	+	0.773517i	−0.974335	−	0.225104i	$-0.927728\pi$
$839$	−26.7016	+	22.4053i	−0.921842	+	0.773517i	0.0524929	+	0.998621i	$0.483283\pi$
$840$	0.340790	−	0.269168i	0.0117584	−	0.00928719i
$841$	−10.8514	−	3.94959i	−0.374186	−	0.136193i
$842$	13.9233	−	5.06767i	0.479829	−	0.174644i
$843$		−	24.4265i		−	0.841293i
$844$	2.26330	+	1.30671i	0.0779058	+	0.0449790i
$845$	−2.02974	+	2.41895i	−0.0698252	+	0.0832144i
$846$	−0.961168	+	5.45105i	−0.0330456	+	0.187411i
$847$	17.9325	−	5.93164i	0.616169	−	0.203814i
$848$	−1.50737	−	0.870280i	−0.0517633	−	0.0298855i
$849$	−7.62781	−	20.9572i	−0.261786	−	0.719251i
$850$	0.0564185	+	0.319965i	0.00193514	+	0.0109747i
$851$	0.0939232	−	0.111933i	0.00321964	−	0.00383702i
$852$	−9.07682	+	1.60049i	−0.310967	+	0.0548318i
$853$	−26.4899	+	4.67088i	−0.906996	+	0.159928i	−0.607639	−	0.794213i	$-0.707883\pi$
$853$	−26.4899	+	4.67088i	−0.906996	+	0.159928i	−0.299357	+	0.954141i	$0.596772\pi$
$854$	−22.8223	−	20.3318i	−0.780962	−	0.695741i
$855$	−0.690795	−	0.186246i	−0.0236247	−	0.00636947i
$856$	5.71591	−	9.90024i	0.195366	−	0.338383i
$857$	−23.5076	+	19.7252i	−0.803004	+	0.673800i	−0.948927	−	0.315495i	$-0.897829\pi$
$857$	−23.5076	+	19.7252i	−0.803004	+	0.673800i	0.145923	+	0.989296i	$0.453385\pi$
$858$	8.27073	−	22.7236i	0.282358	−	0.775772i
$859$	21.6086	+	3.81019i	0.737277	+	0.130002i	0.529662	−	0.848209i	$-0.322319\pi$
$859$	21.6086	+	3.81019i	0.737277	+	0.130002i	0.207615	+	0.978211i	$0.433430\pi$
$860$	0.205115	−	0.563550i	0.00699438	−	0.0192169i
$861$	2.55223	+	17.4886i	0.0869797	+	0.596011i
$862$	−11.8971	+	20.6063i	−0.405216	+	0.701854i
$863$			0.811435i			0.0276216i	0.999905	+	0.0138108i	$0.00439625\pi$
$863$			0.811435i			0.0276216i	−0.999905	+	0.0138108i	$0.995604\pi$
$864$	0.342020	+	0.939693i	0.0116358	+	0.0319690i
$865$	−0.112863	−	0.310090i	−0.00383747	−	0.0105434i
$866$			5.68069i			0.193038i
$867$	8.49787	−	14.7187i	0.288603	−	0.499874i
$868$	12.7763	−	10.0912i	0.433655	−	0.342516i
$869$	−3.49847	+	9.61198i	−0.118678	+	0.326064i
$870$	0.675283	+	0.119071i	0.0228942	+	0.00403687i
$871$	16.6196	−	45.6619i	0.563132	−	1.54719i
$872$	8.23170	−	6.90721i	0.278760	−	0.233908i
$873$	0.661856	−	1.14637i	0.0224004	−	0.0387987i
$874$	−4.09301	+	4.08035i	−0.138448	+	0.138020i
$875$	1.36011	+	4.11188i	0.0459801	+	0.139007i
$876$	13.8307	−	2.43872i	0.467296	−	0.0823969i
$877$	48.6808	−	8.58374i	1.64383	−	0.289852i	0.726261	−	0.687419i	$-0.241257\pi$
$877$	48.6808	−	8.58374i	1.64383	−	0.289852i	0.917573	+	0.397567i	$0.130145\pi$
$878$	−5.02193	+	5.98491i	−0.169482	+	0.201981i
$879$	−2.82136	−	16.0007i	−0.0951621	−	0.539691i
$880$	0.239094	+	0.656905i	0.00805985	+	0.0221443i
$881$	−3.83984	−	2.21693i	−0.129367	−	0.0746903i	0.433920	−	0.900952i	$-0.357130\pi$
$881$	−3.83984	−	2.21693i	−0.129367	−	0.0746903i	−0.563287	+	0.826261i	$0.690463\pi$
$882$	−6.95353	+	0.805271i	−0.234137	+	0.0271149i
$883$	−6.68372	+	37.9053i	−0.224925	+	1.27561i	0.637903	+	0.770116i	$0.279802\pi$
$883$	−6.68372	+	37.9053i	−0.224925	+	1.27561i	−0.862828	+	0.505497i	$0.831309\pi$
$884$	−0.238441	+	0.284163i	−0.00801963	+	0.00955742i
$885$	−0.314553	−	0.181607i	−0.0105736	−	0.00610467i
$886$		−	27.5743i		−	0.926377i
$887$	−23.7668	+	8.65039i	−0.798010	+	0.290452i	−0.708661	−	0.705549i	$-0.750701\pi$
$887$	−23.7668	+	8.65039i	−0.798010	+	0.290452i	−0.0893482	+	0.996000i	$0.528478\pi$
$888$	0.103558	+	0.0376919i	0.00347516	+	0.00126486i
$889$	−25.0896	−	31.7655i	−0.841477	−	1.06538i
$890$	1.96239	−	1.64664i	0.0657793	−	0.0551954i
$891$	4.00215	+	1.45666i	0.134077	+	0.0488000i
$892$	2.44281	+	4.23107i	0.0817914	+	0.141667i
$893$	−13.8081	−	19.7852i	−0.462071	−	0.662087i
$894$	0.704028	+	0.406471i	0.0235462	+	0.0135944i
$895$	−0.303738	−	1.72258i	−0.0101528	−	0.0575797i
$896$	2.32946	−	1.25444i	0.0778218	−	0.0419079i
$897$	−7.07425	+	2.57482i	−0.236202	+	0.0859706i
$898$	−18.9324	+	15.8861i	−0.631781	+	0.530127i
$899$	25.3165	+	4.46398i	0.844351	+	0.148882i
$900$	−4.97306			−0.165769
$901$	0.113715			0.00378839
$902$	−28.0183	−	4.94038i	−0.932906	−	0.164497i
$903$	−7.58603	+	5.99171i	−0.252447	+	0.199392i
$904$	4.55242	+	7.88503i	0.151411	+	0.262252i
$905$	2.62314	−	1.51447i	0.0871960	−	0.0503426i
$906$	−0.511285	+	2.89964i	−0.0169863	+	0.0963342i
$907$	−35.2810	+	6.22100i	−1.17149	+	0.206565i	−0.725337	−	0.688393i	$-0.758316\pi$
$907$	−35.2810	+	6.22100i	−1.17149	+	0.206565i	−0.446150	+	0.894958i	$0.647205\pi$
$908$	3.46984	−	19.6784i	0.115151	−	0.653051i
$909$	9.17140	+	10.9301i	0.304196	+	0.362527i
$910$	−1.29556	+	2.09793i	−0.0429474	+	0.0695456i
$911$			13.1752i			0.436514i	0.975891	+	0.218257i	$0.0700371\pi$
$911$			13.1752i			0.436514i	−0.975891	+	0.218257i	$0.929963\pi$
$912$	−3.94764	−	1.84827i	−0.130720	−	0.0612023i
$913$	−55.3572	+	31.9605i	−1.83206	+	1.05774i
$914$	14.1405	+	16.8520i	0.467727	+	0.557415i
$915$	−0.329276	−	1.86742i	−0.0108855	−	0.0617349i
$916$	2.64176	+	7.25817i	0.0872861	+	0.239817i
$917$	−5.12687	−	3.16606i	−0.169304	−	0.104552i
$918$	−0.0500474	−	0.0419948i	−0.00165181	−	0.00138603i
$919$	10.0988	+	17.4916i	0.333127	+	0.576993i	0.983123	−	0.182944i	$-0.0585628\pi$
$919$	10.0988	+	17.4916i	0.333127	+	0.576993i	−0.649996	+	0.759938i	$0.725229\pi$
$920$	0.108815	−	0.188473i	0.00358753	−	0.00621378i
$921$	−6.22864	+	2.26704i	−0.205241	+	0.0747016i
$922$	−20.5873	−	17.2748i	−0.678008	−	0.568916i
$923$	45.3208	−	26.1660i	1.49175	−	0.861264i
$924$	2.28449	−	11.0342i	0.0751542	−	0.363000i
$925$	−0.352279	+	0.419830i	−0.0115829	+	0.0138039i
$926$	−7.23296	−	8.61991i	−0.237690	−	0.283268i
$927$	−4.77245	−	4.00456i	−0.156748	−	0.131527i
$928$	3.92564	+	1.42882i	0.128865	+	0.0469032i
$929$	−3.87801	+	10.6548i	−0.127233	+	0.349571i	−0.986911	−	0.161266i	$-0.948442\pi$
$929$	−3.87801	+	10.6548i	−0.127233	+	0.349571i	0.859677	+	0.510837i	$0.170664\pi$
$930$	1.01004			0.0331204
$931$	18.9872	−	23.8848i	0.622281	−	0.782794i
$932$	23.2441			0.761387
$933$	6.74612	−	18.5348i	0.220858	−	0.606803i
$934$	−36.0895	−	13.1355i	−1.18088	−	0.429807i
$935$	−0.0349864	−	0.0293570i	−0.00114418	−	0.000960078i
$936$	−3.64966	−	4.34950i	−0.119293	−	0.142168i
$937$	−18.3517	+	21.8707i	−0.599524	+	0.714484i	−0.977406	−	0.211369i	$-0.932208\pi$
$937$	−18.3517	+	21.8707i	−0.599524	+	0.714484i	0.377883	+	0.925853i	$0.376652\pi$
$938$	4.59056	−	22.1727i	0.149887	−	0.723963i
$939$	16.0875	−	9.28813i	0.524996	−	0.303107i
$940$	0.695974	+	0.583991i	0.0227002	+	0.0190477i
$941$	−11.1035	+	4.04134i	−0.361964	+	0.131744i	−0.516599	−	0.856228i	$-0.672802\pi$
$941$	−11.1035	+	4.04134i	−0.361964	+	0.131744i	0.154635	+	0.987972i	$0.450580\pi$
$942$	0.332440	−	0.575803i	0.0108315	−	0.0187607i
$943$	4.42856	+	7.67048i	0.144214	+	0.249785i
$944$	−1.69515	−	1.42240i	−0.0551724	−	0.0462951i
$945$	−0.369492	−	0.228177i	−0.0120196	−	0.00742260i
$946$	−5.32226	−	14.6228i	−0.173041	−	0.475428i
$947$	10.2146	+	57.9301i	0.331931	+	1.88248i	0.455651	+	0.890158i	$0.349406\pi$
$947$	10.2146	+	57.9301i	0.331931	+	1.88248i	−0.123720	+	0.992317i	$0.539482\pi$
$948$	1.54379	+	1.83981i	0.0501399	+	0.0597544i
$949$	−69.0571	+	39.8701i	−2.24169	+	1.29424i
$950$	15.3517	−	15.3042i	0.498076	−	0.496535i
$951$			22.1168i			0.717187i
$952$	−0.0908218	+	0.147070i	−0.00294355	+	0.00476656i
$953$	−3.22256	−	3.84050i	−0.104389	−	0.124406i	0.711320	−	0.702868i	$-0.248098\pi$
$953$	−3.22256	−	3.84050i	−0.104389	−	0.124406i	−0.815709	+	0.578462i	$0.803653\pi$
$954$	−0.302245	+	1.71412i	−0.00978554	+	0.0554966i
$955$	−0.173017	+	0.0305076i	−0.00559870	+	0.000987202i
$956$	2.06130	−	11.6902i	0.0666672	−	0.378088i
$957$	15.4086	−	8.89614i	0.498088	−	0.287572i
$958$	0.488434	+	0.845992i	0.0157806	+	0.0273328i
$959$	12.9278	−	10.2108i	0.417460	−	0.329725i
$960$	0.161645	+	0.0285023i	0.00521706	+	0.000919908i
$961$	6.86637			0.221496
$962$	−0.625721			−0.0201741
$963$	−11.2581	−	1.98511i	−0.362789	−	0.0639694i
$964$	−14.2351	+	11.9447i	−0.458483	+	0.384713i
$965$	−2.09488	+	0.762472i	−0.0674364	+	0.0245448i
$966$	−3.08862	+	1.66325i	−0.0993747	+	0.0535143i
$967$	6.95601	+	39.4495i	0.223690	+	1.26861i	0.865173	+	0.501473i	$0.167208\pi$
$967$	6.95601	+	39.4495i	0.223690	+	1.26861i	−0.641483	+	0.767137i	$0.721681\pi$
$968$	6.18258	+	3.56952i	0.198716	+	0.114729i
$969$	0.283731	−	0.0243803i	0.00911476	−	0.000783209i
$970$	−0.108636	−	0.188163i	−0.00348809	−	0.00604154i
$971$	−8.06894	−	2.93685i	−0.258945	−	0.0942482i	0.209286	−	0.977855i	$-0.432886\pi$
$971$	−8.06894	−	2.93685i	−0.258945	−	0.0942482i	−0.468231	+	0.883606i	$0.655108\pi$
$972$	0.766044	−	0.642788i	0.0245709	−	0.0206174i
$973$	29.9615	+	37.9338i	0.960521	+	1.21610i
$974$	−9.60174	−	3.49475i	−0.307660	−	0.111979i
$975$	26.5335	−	9.65740i	0.849752	−	0.309284i
$976$		−	11.5526i		−	0.369790i
$977$	39.3782	+	22.7350i	1.25982	+	0.727358i	0.973040	−	0.230638i	$-0.0740812\pi$
$977$	39.3782	+	22.7350i	1.25982	+	0.727358i	0.286782	+	0.957996i	$0.407415\pi$
$978$	−12.3673	+	14.7387i	−0.395461	+	0.471292i
$979$	11.5425	−	65.4605i	0.368898	−	2.09213i
$980$	−0.456202	+	1.05452i	−0.0145728	+	0.0336853i
$981$	−9.30606	−	5.37286i	−0.297120	−	0.171542i
$982$	6.95320	+	19.1038i	0.221886	+	0.609625i
$983$	4.24938	+	24.0994i	0.135534	+	0.768652i	0.974486	+	0.224447i	$0.0720576\pi$
$983$	4.24938	+	24.0994i	0.135534	+	0.768652i	−0.838952	+	0.544205i	$0.816831\pi$
$984$	−4.29388	+	5.11725i	−0.136884	+	0.163132i
$985$	4.12233	−	0.726878i	0.131348	−	0.0231603i
$986$	−0.268784	+	0.0473940i	−0.00855984	+	0.00150933i
$987$	−4.59901	−	13.9037i	−0.146388	−	0.442561i
$988$	24.6517	+	2.19524i	0.784275	+	0.0698399i
$989$	−2.42224	+	4.19543i	−0.0770226	+	0.133407i
$990$	0.535514	−	0.449350i	0.0170197	−	0.0142813i
$991$	−16.4948	+	45.3191i	−0.523975	+	1.43961i	0.342086	+	0.939669i	$0.388867\pi$
$991$	−16.4948	+	45.3191i	−0.523975	+	1.43961i	−0.866060	+	0.499940i	$0.833356\pi$
$992$	6.06008	+	1.06856i	0.192408	+	0.0339267i
$993$	−3.67124	+	10.0866i	−0.116503	+	0.320090i
$994$	19.1364	−	15.1146i	0.606969	−	0.479406i
$995$	−1.12295	+	1.94500i	−0.0355998	+	0.0616606i
$996$			15.0085i			0.475562i
$997$	2.09739	+	5.76252i	0.0664249	+	0.182501i	0.968464	−	0.249153i	$-0.0801523\pi$
$997$	2.09739	+	5.76252i	0.0664249	+	0.182501i	−0.902039	+	0.431654i	$0.857930\pi$
$998$	12.7956	+	35.1556i	0.405038	+	1.11283i
$999$		−	0.110204i		−	0.00348669i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.a.523.9	yes	72
7.3	odd	6		798.2.cj.a.409.9	yes	72
19.2	odd	18		798.2.cj.a.439.9	yes	72
133.59	even	18	inner	798.2.ca.a.325.9	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.a.325.9	✓	72	133.59	even	18	inner
798.2.ca.a.523.9	yes	72	1.1	even	1	trivial
798.2.cj.a.409.9	yes	72	7.3	odd	6
798.2.cj.a.439.9	yes	72	19.2	odd	18

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.342020 - 0.939693i) q^{2} +(0.939693 + 0.342020i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(0.105506 + 0.125737i) q^{5} +(0.642788 - 0.766044i) q^{6} +(-0.536392 + 2.59081i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.766044 + 0.642788i) q^{9} +(0.154239 - 0.0561386i) q^{10} +(2.12950 - 3.68840i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(4.34950 + 3.64966i) q^{13} +(2.25111 + 1.39015i) q^{14} +(0.0561386 + 0.154239i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.0419948 - 0.0500474i) q^{17} +(0.866025 - 0.500000i) q^{18} +(-1.13469 + 4.20862i) q^{19} -0.164138i q^{20} +(-1.39015 + 2.25111i) q^{21} +(-2.73763 - 3.26258i) q^{22} +(-0.230239 + 1.30575i) q^{23} +(-0.984808 + 0.173648i) q^{24} +(0.863563 - 4.89751i) q^{25} +(4.91717 - 2.83893i) q^{26} +(0.500000 + 0.866025i) q^{27} +(2.07624 - 1.63989i) q^{28} +(4.11411 + 0.725429i) q^{29} +0.164138 q^{30} +6.15357 q^{31} +(0.984808 + 0.173648i) q^{32} +(3.26258 - 2.73763i) q^{33} +(-0.0613923 + 0.0223450i) q^{34} +(-0.382353 + 0.205901i) q^{35} +(-0.173648 - 0.984808i) q^{36} +(-0.0954391 - 0.0551018i) q^{37} +(3.56672 + 2.50569i) q^{38} +(2.83893 + 4.91717i) q^{39} +(-0.154239 - 0.0561386i) q^{40} +(5.11725 - 4.29388i) q^{41} +(1.63989 + 2.07624i) q^{42} +(3.43339 + 1.24965i) q^{43} +(-4.00215 + 1.45666i) q^{44} +0.164138i q^{45} +(1.14826 + 0.662948i) q^{46} +(-3.55792 + 4.24017i) q^{47} +(-0.173648 + 0.984808i) q^{48} +(-6.42457 - 2.77938i) q^{49} +(-4.30680 - 2.48653i) q^{50} +(-0.0223450 - 0.0613923i) q^{51} +(-0.985951 - 5.59160i) q^{52} +(-1.11881 + 1.33335i) q^{53} +(0.984808 - 0.173648i) q^{54} +(0.688443 - 0.121391i) q^{55} +(-0.830874 - 2.51190i) q^{56} +(-2.50569 + 3.56672i) q^{57} +(2.08879 - 3.61789i) q^{58} +(-1.69515 + 1.42240i) q^{59} +(0.0561386 - 0.154239i) q^{60} +(-11.3771 - 2.00609i) q^{61} +(2.10464 - 5.78246i) q^{62} +(-2.07624 + 1.63989i) q^{63} +(0.500000 - 0.866025i) q^{64} +0.931955i q^{65} +(-1.45666 - 4.00215i) q^{66} +(-2.92708 - 8.04209i) q^{67} +0.0653323i q^{68} +(-0.662948 + 1.14826i) q^{69} +(0.0627114 + 0.429717i) q^{70} +(3.15235 - 8.66100i) q^{71} +(-0.984808 - 0.173648i) q^{72} +(-4.80335 + 13.1971i) q^{73} +(-0.0844209 + 0.0708375i) q^{74} +(2.48653 - 4.30680i) q^{75} +(3.57447 - 2.49463i) q^{76} +(8.41368 + 7.49554i) q^{77} +(5.59160 - 0.985951i) q^{78} +(-2.36522 + 0.417052i) q^{79} +(-0.105506 + 0.125737i) q^{80} +(0.173648 + 0.984808i) q^{81} +(-2.28473 - 6.27724i) q^{82} +(-12.9977 - 7.50424i) q^{83} +(2.51190 - 0.830874i) q^{84} +(0.00186212 - 0.0105606i) q^{85} +(2.34858 - 2.79892i) q^{86} +(3.61789 + 2.08879i) q^{87} +4.25899i q^{88} +(14.6658 - 5.33792i) q^{89} +(0.154239 + 0.0561386i) q^{90} +(-11.7886 + 9.31106i) q^{91} +(1.01569 - 0.852269i) q^{92} +(5.78246 + 2.10464i) q^{93} +(2.76757 + 4.79358i) q^{94} +(-0.648896 + 0.301362i) q^{95} +(0.866025 + 0.500000i) q^{96} +(-0.229860 - 1.30360i) q^{97} +(-4.80909 + 5.08651i) q^{98} +(4.00215 - 1.45666i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33}+ \cdots + 6 q^{99}+O(q^{100}) \) 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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