LMFDB - Embedded newform 819.2.ep.a.304.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [819,2,Mod(229,819)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(819, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 10, 3]))

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

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

chi := DirichletCharacter("819.229");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 819 = 3^{2} \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	819.ep (of order $12$, degree $4$, 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:	$6.53974792554$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$108$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			304.13
Character	$\chi$	$=$	819.304
Dual form			819.2.ep.a.229.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.60407 + 1.60407i) q^{2} +(0.794613 - 1.53902i) q^{3} -3.14605i q^{4} +(2.37922 - 0.637509i) q^{5} +(1.19408 + 3.74330i) q^{6} +(-0.371203 - 2.61958i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.73718 - 2.44585i) q^{9} +O(q^{10})$	\(q+(-1.60407 + 1.60407i) q^{2} +(0.794613 - 1.53902i) q^{3} -3.14605i q^{4} +(2.37922 - 0.637509i) q^{5} +(1.19408 + 3.74330i) q^{6} +(-0.371203 - 2.61958i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.73718 - 2.44585i) q^{9} +(-2.79381 + 4.83902i) q^{10} +(-0.0542670 + 0.202527i) q^{11} +(-4.84184 - 2.49989i) q^{12} +(0.522038 - 3.56756i) q^{13} +(4.79741 + 3.60655i) q^{14} +(0.909414 - 4.16824i) q^{15} +0.394470 q^{16} +(-1.30624 + 2.26248i) q^{17} +(6.70986 + 1.13676i) q^{18} +(0.123595 - 0.461262i) q^{19} +(-2.00563 - 7.48513i) q^{20} +(-4.32656 - 1.51026i) q^{21} +(-0.237819 - 0.411914i) q^{22} +(2.87312 + 1.65880i) q^{23} +(4.29001 - 1.36848i) q^{24} +(0.924120 - 0.533541i) q^{25} +(4.88521 + 6.55998i) q^{26} +(-5.14461 + 0.730055i) q^{27} +(-8.24134 + 1.16782i) q^{28} +(3.48198 - 6.03096i) q^{29} +(5.22737 + 8.14489i) q^{30} +(-4.83959 - 4.83959i) q^{31} +(-4.30943 + 4.30943i) q^{32} +(0.268573 + 0.244449i) q^{33} +(-1.53386 - 5.72446i) q^{34} +(-2.55318 - 5.99590i) q^{35} +(-7.69478 + 5.46526i) q^{36} +(-2.81539 + 10.5072i) q^{37} +(0.541640 + 0.938148i) q^{38} +(-5.07574 - 3.63826i) q^{39} +(5.54576 + 3.20185i) q^{40} +(-1.04149 + 3.88691i) q^{41} +(9.36264 - 4.51752i) q^{42} +(-6.49650 - 3.75075i) q^{43} +(0.637160 + 0.170727i) q^{44} +(-5.69238 - 4.71174i) q^{45} +(-7.26949 + 1.94785i) q^{46} +(0.671495 - 0.671495i) q^{47} +(0.313451 - 0.607098i) q^{48} +(-6.72442 + 1.94479i) q^{49} +(-0.626514 + 2.33818i) q^{50} +(2.44405 + 3.80813i) q^{51} +(-11.2237 - 1.64236i) q^{52} +(4.32791 - 7.49617i) q^{53} +(7.08124 - 9.42335i) q^{54} +0.516451i q^{55} +(4.13328 - 5.49807i) q^{56} +(-0.611682 - 0.556739i) q^{57} +(4.08874 + 15.2594i) q^{58} +(1.61352 - 1.61352i) q^{59} +(-13.1135 - 2.86106i) q^{60} -11.7442i q^{61} +15.5260 q^{62} +(-5.76227 + 5.45860i) q^{63} -13.0363i q^{64} +(-1.03231 - 8.82079i) q^{65} +(-0.822920 + 0.0386962i) q^{66} +(-3.44321 + 3.44321i) q^{67} +(7.11787 + 4.10950i) q^{68} +(4.83594 - 3.10370i) q^{69} +(13.7133 + 5.52236i) q^{70} +(-2.65094 + 2.65094i) q^{71} +(1.30278 - 7.68984i) q^{72} +(0.192693 + 0.719141i) q^{73} +(-12.3381 - 21.3703i) q^{74} +(-0.0868141 - 1.84620i) q^{75} +(-1.45115 - 0.388835i) q^{76} +(0.550680 + 0.0669782i) q^{77} +(13.9778 - 2.30581i) q^{78} +3.53223 q^{79} +(0.938528 - 0.251478i) q^{80} +(-2.96440 + 8.49778i) q^{81} +(-4.56423 - 7.90548i) q^{82} +(14.7136 - 3.94250i) q^{83} +(-4.75137 + 13.6116i) q^{84} +(-1.66548 + 6.21566i) q^{85} +(16.4373 - 4.40435i) q^{86} +(-6.51496 - 10.1511i) q^{87} +(-0.472075 + 0.272552i) q^{88} +(5.03329 + 1.34867i) q^{89} +(16.6889 - 1.57301i) q^{90} +(-9.53929 - 0.0432337i) q^{91} +(5.21866 - 9.03898i) q^{92} +(-11.2938 + 3.60264i) q^{93} +2.15424i q^{94} -1.17623i q^{95} +(3.20798 + 10.0566i) q^{96} +(15.2302 - 4.08091i) q^{97} +(7.66683 - 13.9060i) q^{98} +(0.589623 - 0.219097i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 4 q^{2} - 12 q^{3} - 6 q^{5} - 12 q^{6} - 8 q^{8} - 4 q^{9}+O(q^{10}) $ 432 * q - 4 * q^2 - 12 * q^3 - 6 * q^5 - 12 * q^6 - 8 * q^8 - 4 * q^9	$ 432 q - 4 q^{2} - 12 q^{3} - 6 q^{5} - 12 q^{6} - 8 q^{8} - 4 q^{9} + 6 q^{11} - 4 q^{14} - 14 q^{15} - 392 q^{16} - 10 q^{18} - 12 q^{19} + 60 q^{20} - 18 q^{21} - 8 q^{22} - 12 q^{26} + 36 q^{27} + 4 q^{28} - 24 q^{29} - 20 q^{32} - 6 q^{33} + 12 q^{34} - 60 q^{35} - 2 q^{37} - 28 q^{39} - 12 q^{40} + 68 q^{42} + 32 q^{44} - 6 q^{45} + 4 q^{46} + 12 q^{48} + 22 q^{50} + 66 q^{52} + 8 q^{53} + 18 q^{54} - 44 q^{57} - 6 q^{58} + 50 q^{60} + 50 q^{63} - 32 q^{65} - 36 q^{66} - 32 q^{67} - 12 q^{68} + 2 q^{70} + 48 q^{71} + 22 q^{72} - 12 q^{73} - 52 q^{74} + 48 q^{76} + 2 q^{78} - 56 q^{79} - 6 q^{80} + 4 q^{81} - 84 q^{83} - 68 q^{84} - 6 q^{85} - 42 q^{86} - 108 q^{87} + 18 q^{89} + 52 q^{92} + 90 q^{93} - 6 q^{96} - 6 q^{97} - 112 q^{98} - 50 q^{99}+O(q^{100}) $ 432 * q - 4 * q^2 - 12 * q^3 - 6 * q^5 - 12 * q^6 - 8 * q^8 - 4 * q^9 + 6 * q^11 - 4 * q^14 - 14 * q^15 - 392 * q^16 - 10 * q^18 - 12 * q^19 + 60 * q^20 - 18 * q^21 - 8 * q^22 - 12 * q^26 + 36 * q^27 + 4 * q^28 - 24 * q^29 - 20 * q^32 - 6 * q^33 + 12 * q^34 - 60 * q^35 - 2 * q^37 - 28 * q^39 - 12 * q^40 + 68 * q^42 + 32 * q^44 - 6 * q^45 + 4 * q^46 + 12 * q^48 + 22 * q^50 + 66 * q^52 + 8 * q^53 + 18 * q^54 - 44 * q^57 - 6 * q^58 + 50 * q^60 + 50 * q^63 - 32 * q^65 - 36 * q^66 - 32 * q^67 - 12 * q^68 + 2 * q^70 + 48 * q^71 + 22 * q^72 - 12 * q^73 - 52 * q^74 + 48 * q^76 + 2 * q^78 - 56 * q^79 - 6 * q^80 + 4 * q^81 - 84 * q^83 - 68 * q^84 - 6 * q^85 - 42 * q^86 - 108 * q^87 + 18 * q^89 + 52 * q^92 + 90 * q^93 - 6 * q^96 - 6 * q^97 - 112 * q^98 - 50 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/819\mathbb{Z}\right)^\times$.

$n$	$92$	$379$	$703$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.60407	+	1.60407i	−1.13425	+	1.13425i	−0.144782	+	0.989464i	$0.546248\pi$
$2$	−1.60407	+	1.60407i	−1.13425	+	1.13425i	−0.989464	+	0.144782i	$0.953752\pi$
$3$	0.794613	−	1.53902i	0.458770	−	0.888555i
$3$	0.794613	−	1.53902i	0.458770	−	0.888555i
$4$		−	3.14605i		−	1.57302i
$5$	2.37922	−	0.637509i	1.06402	−	0.285103i	0.315985	−	0.948764i	$-0.397665\pi$
$5$	2.37922	−	0.637509i	1.06402	−	0.285103i	0.748033	+	0.663662i	$0.230999\pi$
$6$	1.19408	+	3.74330i	0.487482	+	1.52820i
$7$	−0.371203	−	2.61958i	−0.140301	−	0.990109i
$7$	−0.371203	−	2.61958i	−0.140301	−	0.990109i
$8$	1.83834	+	1.83834i	0.649951	+	0.649951i
$9$	−1.73718	−	2.44585i	−0.579060	−	0.815285i
$10$	−2.79381	+	4.83902i	−0.883480	+	1.53023i
$11$	−0.0542670	+	0.202527i	−0.0163621	+	0.0610642i	−0.973624	−	0.228158i	$-0.926730\pi$
$11$	−0.0542670	+	0.202527i	−0.0163621	+	0.0610642i	0.957262	+	0.289222i	$0.0933965\pi$
$12$	−4.84184	−	2.49989i	−1.39772	−	0.721656i
$13$	0.522038	−	3.56756i	0.144787	−	0.989463i
$13$	0.522038	−	3.56756i	0.144787	−	0.989463i
$14$	4.79741	+	3.60655i	1.28216	+	0.963890i
$15$	0.909414	−	4.16824i	0.234810	−	1.07623i
$16$	0.394470			0.0986174
$17$	−1.30624	+	2.26248i	−0.316810	+	0.548732i	−0.979821	−	0.199879i	$-0.935945\pi$
$17$	−1.30624	+	2.26248i	−0.316810	+	0.548732i	0.663010	+	0.748610i	$0.269279\pi$
$18$	6.70986	+	1.13676i	1.58153	+	0.267936i
$19$	0.123595	−	0.461262i	0.0283546	−	0.105821i	−0.950298	−	0.311341i	$-0.899222\pi$
$19$	0.123595	−	0.461262i	0.0283546	−	0.105821i	0.978653	+	0.205520i	$0.0658886\pi$
$20$	−2.00563	−	7.48513i	−0.448473	−	1.67373i
$21$	−4.32656	−	1.51026i	−0.944132	−	0.329567i
$22$	−0.237819	−	0.411914i	−0.0507032	−	0.0878205i
$23$	2.87312	+	1.65880i	0.599087	+	0.345883i	0.768682	−	0.639631i	$-0.220913\pi$
$23$	2.87312	+	1.65880i	0.599087	+	0.345883i	−0.169595	+	0.985514i	$0.554246\pi$
$24$	4.29001	−	1.36848i	0.875695	−	0.279339i
$25$	0.924120	−	0.533541i	0.184824	−	0.106708i
$26$	4.88521	+	6.55998i	0.958069	+	1.28652i
$27$	−5.14461	+	0.730055i	−0.990081	+	0.140499i
$28$	−8.24134	+	1.16782i	−1.55747	+	0.220698i
$29$	3.48198	−	6.03096i	0.646587	−	1.11992i	−0.337346	−	0.941381i	$-0.609529\pi$
$29$	3.48198	−	6.03096i	0.646587	−	1.11992i	0.983933	−	0.178541i	$-0.0571376\pi$
$30$	5.22737	+	8.14489i	0.954382	+	1.48705i
$31$	−4.83959	−	4.83959i	−0.869216	−	0.869216i	0.123169	−	0.992386i	$-0.460694\pi$
$31$	−4.83959	−	4.83959i	−0.869216	−	0.869216i	−0.992386	+	0.123169i	$0.960694\pi$
$32$	−4.30943	+	4.30943i	−0.761807	+	0.761807i
$33$	0.268573	+	0.244449i	0.0467525	+	0.0425531i
$34$	−1.53386	−	5.72446i	−0.263056	−	0.981737i
$35$	−2.55318	−	5.99590i	−0.431566	−	1.01349i
$36$	−7.69478	+	5.46526i	−1.28246	+	0.910877i
$37$	−2.81539	+	10.5072i	−0.462848	+	1.72737i	0.201080	+	0.979575i	$0.435555\pi$
$37$	−2.81539	+	10.5072i	−0.462848	+	1.72737i	−0.663928	+	0.747797i	$0.731112\pi$
$38$	0.541640	+	0.938148i	0.0878656	+	0.152188i
$39$	−5.07574	−	3.63826i	−0.812768	−	0.582587i
$40$	5.54576	+	3.20185i	0.876862	+	0.506256i
$41$	−1.04149	+	3.88691i	−0.162654	+	0.607033i	0.835674	+	0.549226i	$0.185077\pi$
$41$	−1.04149	+	3.88691i	−0.162654	+	0.607033i	−0.998328	+	0.0578070i	$0.981589\pi$
$42$	9.36264	−	4.51752i	1.44469	−	0.697068i
$43$	−6.49650	−	3.75075i	−0.990706	−	0.571985i	−0.0852209	−	0.996362i	$-0.527160\pi$
$43$	−6.49650	−	3.75075i	−0.990706	−	0.571985i	−0.905485	+	0.424378i	$0.860493\pi$
$44$	0.637160	+	0.170727i	0.0960555	+	0.0257380i
$45$	−5.69238	−	4.71174i	−0.848570	−	0.702385i
$46$	−7.26949	+	1.94785i	−1.07183	+	0.287195i
$47$	0.671495	−	0.671495i	0.0979476	−	0.0979476i	−0.656435	−	0.754383i	$-0.727936\pi$
$47$	0.671495	−	0.671495i	0.0979476	−	0.0979476i	0.754383	+	0.656435i	$0.227936\pi$
$48$	0.313451	−	0.607098i	0.0452427	−	0.0876270i
$49$	−6.72442	+	1.94479i	−0.960631	+	0.277827i
$50$	−0.626514	+	2.33818i	−0.0886025	+	0.330669i
$51$	2.44405	+	3.80813i	0.342235	+	0.533245i
$52$	−11.2237	−	1.64236i	−1.55645	−	0.227754i
$53$	4.32791	−	7.49617i	0.594485	−	1.02968i	−0.399135	−	0.916892i	$-0.630689\pi$
$53$	4.32791	−	7.49617i	0.594485	−	1.02968i	0.993619	−	0.112785i	$-0.0359773\pi$
$54$	7.08124	−	9.42335i	0.963634	−	1.28235i
$55$			0.516451i			0.0696383i
$56$	4.13328	−	5.49807i	0.552333	−	0.734711i
$57$	−0.611682	−	0.556739i	−0.0810193	−	0.0737419i
$58$	4.08874	+	15.2594i	0.536877	+	2.00365i
$59$	1.61352	−	1.61352i	0.210062	−	0.210062i	−0.594232	−	0.804294i	$-0.702544\pi$
$59$	1.61352	−	1.61352i	0.210062	−	0.210062i	0.804294	+	0.594232i	$0.202544\pi$
$60$	−13.1135	−	2.86106i	−1.69294	−	0.369362i
$61$		−	11.7442i		−	1.50370i	−0.659336	−	0.751849i	$-0.729162\pi$
$61$		−	11.7442i		−	1.50370i	0.659336	−	0.751849i	$-0.270838\pi$
$62$	15.5260			1.97181
$63$	−5.76227	+	5.45860i	−0.725978	+	0.687718i
$64$		−	13.0363i		−	1.62954i
$65$	−1.03231	−	8.82079i	−0.128042	−	1.09408i
$66$	−0.822920	+	0.0386962i	−0.101294	+	0.00476318i
$67$	−3.44321	+	3.44321i	−0.420655	+	0.420655i	−0.885429	−	0.464774i	$-0.846136\pi$
$67$	−3.44321	+	3.44321i	−0.420655	+	0.420655i	0.464774	+	0.885429i	$0.346136\pi$
$68$	7.11787	+	4.10950i	0.863169	+	0.498351i
$69$	4.83594	−	3.10370i	0.582179	−	0.373641i
$70$	13.7133	+	5.52236i	1.63905	+	0.660048i
$71$	−2.65094	+	2.65094i	−0.314609	+	0.314609i	−0.846692	−	0.532083i	$-0.821409\pi$
$71$	−2.65094	+	2.65094i	−0.314609	+	0.314609i	0.532083	+	0.846692i	$0.321409\pi$
$72$	1.30278	−	7.68984i	0.153534	−	0.906256i
$73$	0.192693	+	0.719141i	0.0225530	+	0.0841691i	0.976285	−	0.216489i	$-0.0694605\pi$
$73$	0.192693	+	0.719141i	0.0225530	+	0.0841691i	−0.953732	+	0.300658i	$0.902794\pi$
$74$	−12.3381	−	21.3703i	−1.43428	−	2.48425i
$75$	−0.0868141	−	1.84620i	−0.0100244	−	0.213181i
$76$	−1.45115	−	0.388835i	−0.166459	−	0.0446024i
$77$	0.550680	+	0.0669782i	0.0627558	+	0.00763287i
$78$	13.9778	−	2.30581i	1.58268	−	0.261082i
$79$	3.53223			0.397407			0.198704	−	0.980060i	$-0.436327\pi$
$79$	3.53223			0.397407			0.198704	+	0.980060i	$0.436327\pi$
$80$	0.938528	−	0.251478i	0.104931	−	0.0281161i
$81$	−2.96440	+	8.49778i	−0.329378	+	0.944198i
$82$	−4.56423	−	7.90548i	−0.504035	−	0.873014i
$83$	14.7136	−	3.94250i	1.61503	−	0.432746i	0.665494	−	0.746403i	$-0.268221\pi$
$83$	14.7136	−	3.94250i	1.61503	−	0.432746i	0.949536	+	0.313657i	$0.101554\pi$
$84$	−4.75137	+	13.6116i	−0.518416	+	1.48514i
$85$	−1.66548	+	6.21566i	−0.180647	+	0.674183i
$86$	16.4373	−	4.40435i	1.77247	−	0.474933i
$87$	−6.51496	−	10.1511i	−0.698477	−	1.08831i
$88$	−0.472075	+	0.272552i	−0.0503233	+	0.0290542i
$89$	5.03329	+	1.34867i	0.533528	+	0.142958i	0.515517	−	0.856880i	$-0.327600\pi$
$89$	5.03329	+	1.34867i	0.533528	+	0.142958i	0.0180108	+	0.999838i	$0.494267\pi$
$90$	16.6889	−	1.57301i	1.75916	−	0.165809i
$91$	−9.53929	−	0.0432337i	−0.999990	−	0.00453212i
$92$	5.21866	−	9.03898i	0.544083	−	0.942379i
$93$	−11.2938	+	3.60264i	−1.17112	+	0.373576i
$94$			2.15424i			0.222193i
$95$		−	1.17623i		−	0.120679i
$96$	3.20798	+	10.0566i	0.327414	+	1.02640i
$97$	15.2302	−	4.08091i	1.54639	−	0.414354i	0.618066	−	0.786126i	$-0.287916\pi$
$97$	15.2302	−	4.08091i	1.54639	−	0.414354i	0.928324	+	0.371772i	$0.121250\pi$
$98$	7.66683	−	13.9060i	0.774467	−	1.40472i
$99$	0.589623	−	0.219097i	0.0592594	−	0.0220201i
$100$	−1.67855	−	2.90733i	−0.167855	−	0.290733i
$101$	1.62119	+	2.80798i	0.161314	+	0.279404i	0.935340	−	0.353750i	$-0.115093\pi$
$101$	1.62119	+	2.80798i	0.161314	+	0.279404i	−0.774026	+	0.633154i	$0.781760\pi$
$102$	−10.0289	−	2.18808i	−0.993009	−	0.216652i
$103$	3.08595	−	5.34502i	0.304068	−	0.526660i	−0.672986	−	0.739655i	$-0.734988\pi$
$103$	3.08595	−	5.34502i	0.304068	−	0.526660i	0.977053	+	0.212995i	$0.0683218\pi$
$104$	7.51806	−	5.59870i	0.737207	−	0.548998i
$105$	−11.2566	−	0.835024i	−1.09853	−	0.0814900i
$106$	5.08208	+	18.9666i	0.493616	+	1.84220i
$107$	1.23525	+	2.13951i	0.119416	+	0.206834i	0.919536	−	0.393005i	$-0.128565\pi$
$107$	1.23525	+	2.13951i	0.119416	+	0.206834i	−0.800120	+	0.599839i	$0.795231\pi$
$108$	2.29679	+	16.1852i	0.221009	+	1.55742i
$109$	0.894237	+	3.33734i	0.0856524	+	0.319659i	0.995437	−	0.0954217i	$-0.0304200\pi$
$109$	0.894237	+	3.33734i	0.0856524	+	0.319659i	−0.909785	+	0.415081i	$0.863753\pi$
$110$	−0.828421	−	0.828421i	−0.0789869	−	0.0789869i
$111$	13.9337	+	12.6821i	1.32252	+	1.20373i
$112$	−0.146428	−	1.03335i	−0.0138362	−	0.0976420i
$113$	4.96518	+	8.59995i	0.467085	+	0.809015i	0.999293	−	0.0375988i	$-0.0119709\pi$
$113$	4.96518	+	8.59995i	0.467085	+	0.809015i	−0.532208	+	0.846614i	$0.678638\pi$
$114$	1.87422	−	0.0881319i	0.175537	−	0.00825430i
$115$	7.89327	+	2.11499i	0.736051	+	0.197224i
$116$	−18.9737	−	10.9545i	−1.76166	−	1.01710i
$117$	−9.63260	+	4.92067i	−0.890534	+	0.454916i
$118$			5.17638i			0.476524i
$119$	6.41163	+	2.58197i	0.587753	+	0.236689i
$120$	9.33445	−	5.99082i	0.852114	−	0.546885i
$121$	9.48821	+	5.47802i	0.862564	+	0.498002i
$122$	18.8385	+	18.8385i	1.70556	+	1.70556i
$123$	5.15446	+	4.69147i	0.464762	+	0.423016i
$124$	−15.2256	+	15.2256i	−1.36730	+	1.36730i
$125$	−6.84999	+	6.84999i	−0.612682	+	0.612682i
$126$	0.487111	−	17.9990i	0.0433953	−	1.60348i
$127$		−	12.2283i		−	1.08508i	−0.840029	−	0.542542i	$-0.817462\pi$
$127$		−	12.2283i		−	1.08508i	0.840029	−	0.542542i	$-0.182538\pi$
$128$	12.2922	+	12.2922i	1.08649	+	1.08649i
$129$	−10.9347	+	7.01786i	−0.962746	+	0.617888i
$130$	15.8050	+	12.4932i	1.38619	+	1.09573i
$131$	−9.72422	−	5.61428i	−0.849609	−	0.490522i	0.0109101	−	0.999940i	$-0.496527\pi$
$131$	−9.72422	−	5.61428i	−0.849609	−	0.490522i	−0.860519	+	0.509419i	$0.829860\pi$
$132$	0.769048	−	0.844943i	0.0669370	−	0.0735428i
$133$	−1.25419	−	0.152545i	−0.108752	−	0.0132273i
$134$		−	11.0463i		−	0.954253i
$135$	−11.7747	+	5.01669i	−1.01341	+	0.431768i
$136$	−6.56052	+	1.75789i	−0.562560	+	0.150737i
$137$	−3.61485	+	13.4908i	−0.308837	+	1.15260i	0.620754	+	0.784005i	$0.286826\pi$
$137$	−3.61485	+	13.4908i	−0.308837	+	1.15260i	−0.929592	+	0.368591i	$0.879840\pi$
$138$	−2.77864	+	12.7357i	−0.236533	+	1.08413i
$139$	9.34183	−	5.39351i	0.792364	−	0.457471i	−0.0484303	−	0.998827i	$-0.515422\pi$
$139$	9.34183	−	5.39351i	0.792364	−	0.457471i	0.840794	+	0.541355i	$0.182089\pi$
$140$	−18.8634	+	8.03242i	−1.59425	+	0.678864i
$141$	−0.499868	−	1.56702i	−0.0420964	−	0.131967i
$142$		−	8.50457i		−	0.713687i
$143$	0.694198	+	0.299327i	0.0580517	+	0.0250310i
$144$	−0.685265	−	0.964815i	−0.0571054	−	0.0804012i
$145$	4.43958	−	16.5687i	0.368687	−	1.37596i
$146$	−1.46264	−	0.844456i	−0.121049	−	0.0698877i
$147$	−2.35023	+	11.8944i	−0.193844	+	0.981032i
$148$	33.0561	+	8.85737i	2.71720	+	0.728071i
$149$	−4.95612	−	18.4965i	−0.406021	−	1.51529i	−0.802165	−	0.597103i	$-0.796318\pi$
$149$	−4.95612	−	18.4965i	−0.406021	−	1.51529i	0.396144	−	0.918189i	$-0.370348\pi$
$150$	3.10068	+	2.82217i	0.253170	+	0.230429i
$151$	4.69752	−	17.5314i	0.382279	−	1.42668i	−0.460133	−	0.887850i	$-0.652198\pi$
$151$	4.69752	−	17.5314i	0.382279	−	1.42668i	0.842412	−	0.538834i	$-0.181135\pi$
$152$	1.07516	−	0.620746i	0.0872073	−	0.0503492i
$153$	7.80287	−	0.735457i	0.630825	−	0.0594581i
$154$	−0.990765	+	0.775890i	−0.0798381	+	0.0625230i
$155$	−14.5997	−	8.42915i	−1.17268	−	0.677046i
$156$	−11.4461	+	15.9685i	−0.916424	+	1.27850i
$157$		−	12.1380i		−	0.968717i	−0.874870	−	0.484358i	$-0.839053\pi$
$157$		−	12.1380i		−	0.968717i	0.874870	−	0.484358i	$-0.160947\pi$
$158$	−5.66593	+	5.66593i	−0.450758	+	0.450758i
$159$	−8.09776	−	12.6173i	−0.642194	−	1.00062i
$160$	−7.50577	+	13.0004i	−0.593383	+	1.02777i
$161$	3.27884	−	8.14212i	0.258409	−	0.641689i
$162$	−8.87590	−	18.3861i	−0.697357	−	1.44455i
$163$	−2.86911	+	10.7077i	−0.224726	+	0.838690i	0.757788	+	0.652501i	$0.226280\pi$
$163$	−2.86911	+	10.7077i	−0.224726	+	0.838690i	−0.982514	+	0.186189i	$0.940386\pi$
$164$	12.2284	+	3.27659i	0.954879	+	0.255859i
$165$	0.794830	+	0.410379i	0.0618774	+	0.0319479i
$166$	−17.2776	+	29.9256i	−1.34100	+	2.32268i
$167$	−8.19443	−	2.19569i	−0.634104	−	0.169908i	−0.0725728	−	0.997363i	$-0.523121\pi$
$167$	−8.19443	−	2.19569i	−0.634104	−	0.169908i	−0.561531	+	0.827455i	$0.689788\pi$
$168$	−5.17730	−	10.7301i	−0.399438	−	0.827842i
$169$	−12.4550	−	3.72480i	−0.958073	−	0.286523i
$170$	−7.29879	−	12.6419i	−0.559791	−	0.969587i
$171$	−1.34289	+	0.499001i	−0.102693	+	0.0381595i
$172$	−11.8001	+	20.4383i	−0.899746	+	1.55841i
$173$	18.1566			1.38042			0.690211	−	0.723608i	$-0.257518\pi$
$173$	18.1566			1.38042			0.690211	+	0.723608i	$0.257518\pi$
$174$	26.7335	+	5.83263i	2.02666	+	0.442171i
$175$	−1.74069	−	2.22276i	−0.131584	−	0.168025i
$176$	−0.0214067	+	0.0798908i	−0.00161359	+	0.00602199i
$177$	−1.20112	−	3.76536i	−0.0902817	−	0.283022i
$178$	−10.2371	+	5.91038i	−0.767301	+	0.443001i
$179$	1.35594	+	0.782854i	0.101348	+	0.0585133i	0.549817	−	0.835285i	$-0.314697\pi$
$179$	1.35594	+	0.782854i	0.101348	+	0.0585133i	−0.448469	+	0.893798i	$0.648031\pi$
$180$	−14.8234	+	17.9085i	−1.10487	+	1.33482i
$181$	7.63912			0.567811			0.283906	−	0.958852i	$-0.408370\pi$
$181$	7.63912			0.567811			0.283906	+	0.958852i	$0.408370\pi$
$182$	15.3710	−	15.2323i	1.13937	−	1.12909i
$183$	−18.0747	−	9.33213i	−1.33612	−	0.689851i
$184$	2.23234	+	8.33120i	0.164570	+	0.614184i
$185$			26.7937i			1.96991i
$186$	12.3372	−	23.8949i	0.904607	−	1.75206i
$187$	−0.387327	−	0.387327i	−0.0283242	−	0.0283242i
$188$	−2.11256	−	2.11256i	−0.154074	−	0.154074i
$189$	3.82213	+	13.2057i	0.278019	+	0.960576i
$190$	1.88676	+	1.88676i	0.136880	+	0.136880i
$191$	0.633811			0.0458610			0.0229305	−	0.999737i	$-0.492700\pi$
$191$	0.633811			0.0458610			0.0229305	+	0.999737i	$0.492700\pi$
$192$	−20.0631	−	10.3588i	−1.44793	−	0.747582i
$193$	14.7457	+	14.7457i	1.06142	+	1.06142i	0.997986	+	0.0634319i	$0.0202046\pi$
$193$	14.7457	+	14.7457i	1.06142	+	1.06142i	0.0634319	+	0.997986i	$0.479795\pi$
$194$	−17.8841	+	30.9763i	−1.28401	+	2.22397i
$195$	−14.3957	−	5.42037i	−1.03090	−	0.388161i
$196$	6.11841	+	21.1554i	0.437029	+	1.51110i
$197$	−9.75420	+	9.75420i	−0.694958	+	0.694958i	−0.963319	−	0.268361i	$-0.913518\pi$
$197$	−9.75420	+	9.75420i	−0.694958	+	0.694958i	0.268361	+	0.963319i	$0.413518\pi$
$198$	−0.594348	+	1.29724i	−0.0422385	+	0.0921909i
$199$	6.29110	−	10.8965i	0.445965	−	0.772433i	−0.552154	−	0.833742i	$-0.686194\pi$
$199$	6.29110	−	10.8965i	0.445965	−	0.772433i	0.998119	+	0.0613086i	$0.0195274\pi$
$200$	2.67968	+	0.718017i	0.189482	+	0.0507715i
$201$	2.56316	+	8.03520i	0.180791	+	0.566759i
$202$	−7.10466	−	1.90369i	−0.499882	−	0.133943i
$203$	−17.0911	−	6.88262i	−1.19956	−	0.483065i
$204$	11.9806	−	7.68910i	0.838808	−	0.538345i
$205$			9.91176i			0.692267i
$206$	3.62370	+	13.5238i	0.252475	+	0.942249i
$207$	−0.933956	−	9.90886i	−0.0649144	−	0.688713i
$208$	0.205928	−	1.40729i	0.0142785	−	0.0975782i
$209$	0.0867109	+	0.0500626i	0.00599792	+	0.00346290i
$210$	19.3958	−	16.7169i	1.33844	−	1.15358i
$211$	−10.4851	−	18.1608i	−0.721826	−	1.25024i	−0.960267	−	0.279082i	$-0.909970\pi$
$211$	−10.4851	−	18.1608i	−0.721826	−	1.25024i	0.238441	−	0.971157i	$-0.423364\pi$
$212$	−23.5833	−	13.6158i	−1.61971	−	0.935139i
$213$	1.97339	+	6.18633i	0.135214	+	0.423880i
$214$	−5.41333	−	1.45050i	−0.370048	−	0.0991540i
$215$	−17.8477	−	4.78228i	−1.21720	−	0.326149i
$216$	−10.7996	−	8.11545i	−0.734821	−	0.552186i
$217$	−10.8812	+	14.4742i	−0.738667	+	0.982571i
$218$	−6.78773	−	3.91890i	−0.459723	−	0.265421i
$219$	1.25989	+	0.274879i	0.0851355	+	0.0185746i
$220$	1.62478			0.109543
$221$	7.38962	+	5.84120i	0.497079	+	0.392921i
$222$	−42.6934	+	2.00758i	−2.86539	+	0.134740i
$223$	−15.8221	+	4.23951i	−1.05952	+	0.283899i	−0.746182	−	0.665742i	$-0.768115\pi$
$223$	−15.8221	+	4.23951i	−1.05952	+	0.283899i	−0.313342	+	0.949640i	$0.601449\pi$
$224$	12.8886	+	9.68924i	0.861155	+	0.647389i
$225$	−2.91033	−	1.33341i	−0.194022	−	0.0888937i
$226$	−21.7593	−	5.83040i	−1.44741	−	0.387832i
$227$	−4.49494	+	16.7753i	−0.298340	+	1.11342i	0.640189	+	0.768218i	$0.278856\pi$
$227$	−4.49494	+	16.7753i	−0.298340	+	1.11342i	−0.938529	+	0.345202i	$0.887811\pi$
$228$	−1.75153	+	1.92438i	−0.115998	+	0.127445i
$229$	4.82038	+	17.9899i	0.318540	+	1.18881i	0.920649	+	0.390392i	$0.127661\pi$
$229$	4.82038	+	17.9899i	0.318540	+	1.18881i	−0.602109	+	0.798414i	$0.705673\pi$
$230$	−16.0539	+	9.26873i	−1.05856	+	0.611162i
$231$	0.540659	−	0.794288i	0.0355727	−	0.0522603i
$232$	17.4880	−	4.68590i	1.14814	−	0.307644i
$233$	−18.9197	+	10.9233i	−1.23947	+	0.715608i	−0.968986	−	0.247117i	$-0.920517\pi$
$233$	−18.9197	+	10.9233i	−1.23947	+	0.715608i	−0.270483	+	0.962725i	$0.587183\pi$
$234$	7.55825	−	23.3444i	0.494098	−	1.52607i
$235$	1.16955	−	2.02572i	0.0762928	−	0.132143i
$236$	−5.07621	−	5.07621i	−0.330433	−	0.330433i
$237$	2.80676	−	5.43619i	0.182319	−	0.353118i
$238$	−14.4263	+	6.14302i	−0.935119	+	0.398193i
$239$	28.6743	+	7.68327i	1.85479	+	0.496989i	0.999767	−	0.0216018i	$-0.00687660\pi$
$239$	28.6743	+	7.68327i	1.85479	+	0.496989i	0.855022	+	0.518591i	$0.173543\pi$
$240$	0.358736	−	1.64424i	0.0231563	−	0.106135i
$241$	−5.35419	−	1.43465i	−0.344894	−	0.0924140i	0.0822140	−	0.996615i	$-0.473801\pi$
$241$	−5.35419	−	1.43465i	−0.344894	−	0.0924140i	−0.427108	+	0.904201i	$0.640468\pi$
$242$	−24.0068	+	6.43260i	−1.54322	+	0.413503i
$243$	10.7227	+	11.3147i	0.687863	+	0.725840i
$244$	−36.9480			−2.36535
$245$	−14.7590	+	8.91395i	−0.942919	+	0.569491i
$246$	−15.7935	+	0.742660i	−1.00696	+	0.0473503i
$247$	−1.58106	−	0.681727i	−0.100600	−	0.0433773i
$248$		−	17.7936i		−	1.12990i
$249$	5.62403	−	25.7774i	0.356408	−	1.63357i
$250$		−	21.9757i		−	1.38986i
$251$	−8.28887			−0.523189			−0.261594	−	0.965178i	$-0.584248\pi$
$251$	−8.28887			−0.523189			−0.261594	+	0.965178i	$0.584248\pi$
$252$	17.1730	+	18.1284i	1.08180	+	1.14198i
$253$	−0.491867	+	0.491867i	−0.0309234	+	0.0309234i
$254$	19.6150	+	19.6150i	1.23075	+	1.23075i
$255$	8.24263	+	7.50226i	0.516174	+	0.469810i
$256$	−13.3624			−0.835147
$257$	−3.86072	+	6.68696i	−0.240825	+	0.417121i	−0.960949	−	0.276724i	$-0.910751\pi$
$257$	−3.86072	+	6.68696i	−0.240825	+	0.417121i	0.720125	+	0.693845i	$0.244085\pi$
$258$	6.28286	−	28.7971i	0.391154	−	1.79283i
$259$	28.5695	+	3.47486i	1.77522	+	0.215917i
$260$	−27.7507	+	3.24770i	−1.72102	+	0.201414i
$261$	−20.7997	+	1.96047i	−1.28747	+	0.121350i
$262$	24.6039	−	6.59261i	1.52004	−	0.407293i
$263$	−1.70634	−	2.95547i	−0.105218	−	0.182242i	0.808609	−	0.588346i	$-0.200221\pi$
$263$	−1.70634	−	2.95547i	−0.105218	−	0.182242i	−0.913827	+	0.406103i	$0.866887\pi$
$264$	0.0443478	+	0.943107i	0.00272942	+	0.0580442i
$265$	5.51817	−	20.5941i	0.338978	−	1.26508i
$266$	2.25650	−	1.76711i	0.138355	−	0.108349i
$267$	6.07514	−	6.67468i	0.371793	−	0.408484i
$268$	10.8325	+	10.8325i	0.661701	+	0.661701i
$269$	21.0264	+	12.1396i	1.28200	+	0.740164i	0.977214	−	0.212256i	$-0.0680811\pi$
$269$	21.0264	+	12.1396i	1.28200	+	0.740164i	0.304788	+	0.952420i	$0.401414\pi$
$270$	10.8403	−	26.9345i	0.659721	−	1.63918i
$271$	18.6499	+	4.99722i	1.13290	+	0.303560i	0.776093	−	0.630618i	$-0.217199\pi$
$271$	18.6499	+	4.99722i	1.13290	+	0.303560i	0.356807	+	0.934178i	$0.383865\pi$
$272$	−0.515273	+	0.892479i	−0.0312430	+	0.0541145i
$273$	−7.64658	+	14.6468i	−0.462792	+	0.886467i
$274$	−15.8417	−	27.4386i	−0.957030	−	1.65762i
$275$	0.0579073	+	0.216113i	0.00349194	+	0.0130321i
$276$	−9.76438	−	15.2141i	−0.587747	−	0.915782i
$277$	7.52925	−	4.34701i	0.452389	−	0.261187i	−0.256450	−	0.966558i	$-0.582553\pi$
$277$	7.52925	−	4.34701i	0.452389	−	0.261187i	0.708839	+	0.705371i	$0.249219\pi$
$278$	−6.33337	+	23.6364i	−0.379850	+	1.41762i
$279$	−3.42969	+	20.2442i	−0.205330	+	1.21199i
$280$	6.32890	−	15.7161i	0.378224	−	0.939217i
$281$	21.4074	−	5.73611i	1.27706	−	0.342187i	0.444329	−	0.895864i	$-0.353442\pi$
$281$	21.4074	−	5.73611i	1.27706	−	0.342187i	0.832732	+	0.553676i	$0.186776\pi$
$282$	3.31543	+	1.71179i	0.197431	+	0.101936i
$283$	−2.25158			−0.133843			−0.0669213	−	0.997758i	$-0.521318\pi$
$283$	−2.25158			−0.133843			−0.0669213	+	0.997758i	$0.521318\pi$
$284$	8.34000	+	8.34000i	0.494888	+	0.494888i
$285$	−1.81025	−	0.934650i	−0.107230	−	0.0553639i
$286$	−1.59368	+	0.633398i	−0.0942362	+	0.0374536i
$287$	10.5687	+	1.28545i	0.623850	+	0.0758776i
$288$	18.0265	+	3.05398i	1.06222	+	0.179957i
$289$	5.08746	+	8.81174i	0.299262	+	0.518338i
$290$	19.4560	+	33.6987i	1.14249	+	1.97886i
$291$	5.82148	−	26.6823i	0.341261	−	1.56415i
$292$	2.26245	−	0.606223i	0.132400	−	0.0354765i
$293$	−4.31819	−	1.15706i	−0.252271	−	0.0675959i	0.130467	−	0.991453i	$-0.458352\pi$
$293$	−4.31819	−	1.15706i	−0.252271	−	0.0675959i	−0.382738	+	0.923857i	$0.625019\pi$
$294$	−15.3094	−	22.8493i	−0.892865	−	1.33260i
$295$	2.81028	−	4.86754i	0.163621	−	0.283399i
$296$	−24.4914	+	14.1401i	−1.42353	+	0.821878i
$297$	0.131327	−	1.08154i	0.00762034	−	0.0627574i
$298$	37.6195	+	21.7196i	2.17924	+	1.25818i
$299$	7.41773	−	9.38407i	0.428978	−	0.542695i
$300$	−5.80824	+	0.273121i	−0.335339	+	0.0157687i
$301$	−7.41389	+	18.4104i	−0.427329	+	1.06116i
$302$	20.5864	+	35.6566i	1.18461	+	2.05181i
$303$	5.60975	−	0.263788i	0.322272	−	0.0151542i
$304$	0.0487543	−	0.181954i	0.00279625	−	0.0104358i
$305$	−7.48706	−	27.9421i	−0.428708	−	1.59996i
$306$	−11.3366	+	13.6960i	−0.648070	+	0.782950i
$307$	−8.59086	+	8.59086i	−0.490306	+	0.490306i	−0.908403	−	0.418096i	$-0.862697\pi$
$307$	−8.59086	+	8.59086i	−0.490306	+	0.490306i	0.418096	+	0.908403i	$0.362697\pi$
$308$	0.210717	−	1.73247i	0.0120067	−	0.0987165i
$309$	−5.77397	−	8.99657i	−0.328470	−	0.511797i
$310$	36.9398	−	9.89799i	2.09804	−	0.562168i
$311$	−2.07088			−0.117429			−0.0587145	−	0.998275i	$-0.518700\pi$
$311$	−2.07088			−0.117429			−0.0587145	+	0.998275i	$0.518700\pi$
$312$	−2.64258	−	16.0193i	−0.149606	−	0.906913i
$313$			25.4445i			1.43821i	0.694902	+	0.719104i	$0.255448\pi$
$313$			25.4445i			1.43821i	−0.694902	+	0.719104i	$0.744552\pi$
$314$	19.4701	+	19.4701i	1.09876	+	1.09876i
$315$	−10.2298	+	16.6607i	−0.576382	+	0.938722i
$316$		−	11.1126i		−	0.625132i
$317$	−18.1166	+	18.1166i	−1.01753	+	1.01753i	−0.0176869	+	0.999844i	$0.505630\pi$
$317$	−18.1166	+	18.1166i	−1.01753	+	1.01753i	−0.999844	+	0.0176869i	$0.994370\pi$
$318$	33.2283	+	7.24966i	1.86335	+	0.406541i
$319$	1.03248	+	1.03248i	0.0578076	+	0.0578076i
$320$	−8.31074	−	31.0161i	−0.464585	−	1.73385i
$321$	4.27430	−	0.200991i	0.238568	−	0.0112182i
$322$	7.80101	+	18.3200i	0.434734	+	1.02093i
$323$	0.882150	+	0.882150i	0.0490841	+	0.0490841i
$324$	26.7345	+	9.32616i	1.48525	+	0.518120i
$325$	−1.42101	−	3.57538i	−0.0788236	−	0.198326i
$326$	−12.5736	−	21.7780i	−0.696385	−	1.20617i
$327$	5.84681	+	1.27564i	0.323330	+	0.0705431i
$328$	−9.06008	+	5.23084i	−0.500259	+	0.288825i
$329$	−2.00830	−	1.50978i	−0.110721	−	0.0832366i
$330$	−1.93323	+	0.616685i	−0.106421	+	0.0339474i
$331$	12.0576	−	12.0576i	0.662746	−	0.662746i	−0.293280	−	0.956026i	$-0.594747\pi$
$331$	12.0576	−	12.0576i	0.662746	−	0.662746i	0.956026	+	0.293280i	$0.0947469\pi$
$332$	−12.4033	−	46.2898i	−0.680720	−	2.54048i
$333$	30.5899	−	11.3669i	1.67632	−	0.622900i
$334$	16.6664	−	9.62237i	0.911947	−	0.526513i
$335$	−5.99707	+	10.3872i	−0.327655	+	0.567515i
$336$	−1.70670	−	0.595753i	−0.0931079	−	0.0325010i
$337$	17.6057	−	10.1647i	0.959045	−	0.553705i	0.0631658	−	0.998003i	$-0.479880\pi$
$337$	17.6057	−	10.1647i	0.959045	−	0.553705i	0.895879	+	0.444298i	$0.146547\pi$
$338$	25.9534	−	14.0037i	1.41168	−	0.761703i
$339$	17.1809	−	0.807900i	0.933139	−	0.0438791i
$340$	19.5548	+	5.23969i	1.06051	+	0.284162i
$341$	1.24278	−	0.717519i	0.0673002	−	0.0388558i
$342$	1.35365	−	2.95450i	0.0731968	−	0.159761i
$343$	7.59066	+	16.8932i	0.409857	+	0.912150i
$344$	−5.04760	−	18.8379i	−0.272149	−	1.01567i
$345$	9.52712	−	10.4673i	0.512923	−	0.563541i
$346$	−29.1244	+	29.1244i	−1.56574	+	1.56574i
$347$	2.47822			0.133038			0.0665190	−	0.997785i	$-0.478811\pi$
$347$	2.47822			0.133038			0.0665190	+	0.997785i	$0.478811\pi$
$348$	−31.9359	+	20.4964i	−1.71195	+	1.09872i
$349$	−7.18182	−	26.8029i	−0.384434	−	1.43473i	−0.839057	−	0.544043i	$-0.816893\pi$
$349$	−7.18182	−	26.8029i	−0.384434	−	1.43473i	0.454624	−	0.890684i	$-0.349774\pi$
$350$	6.35763	+	0.773266i	0.339829	+	0.0413328i
$351$	−0.0811683	+	18.7348i	−0.00433244	+	0.999991i
$352$	−0.638917	−	1.10664i	−0.0340544	−	0.0589839i
$353$	−1.19155	+	4.44694i	−0.0634200	+	0.236687i	−0.990359	−	0.138526i	$-0.955764\pi$
$353$	−1.19155	+	4.44694i	−0.0634200	+	0.236687i	0.926939	+	0.375213i	$0.122430\pi$
$354$	7.96656	+	4.11322i	0.423418	+	0.218615i
$355$	−4.61716	+	7.99716i	−0.245054	+	0.424445i
$356$	4.24297	−	15.8350i	0.224877	−	0.839252i
$357$	9.06847	−	7.81597i	0.479954	−	0.413665i
$358$	−3.43077	+	0.919272i	−0.181322	+	0.0485850i
$359$	7.63807	−	28.5057i	0.403122	−	1.50447i	−0.404371	−	0.914595i	$-0.632510\pi$
$359$	7.63807	−	28.5057i	0.403122	−	1.50447i	0.807493	−	0.589877i	$-0.200824\pi$
$360$	−1.80274	−	19.1263i	−0.0950129	−	1.00804i
$361$	16.2570	+	9.38598i	0.855631	+	0.493999i
$362$	−12.2536	+	12.2536i	−0.644037	+	0.644037i
$363$	15.9702	−	10.2497i	0.838220	−	0.537968i
$364$	−0.136015	+	30.0111i	−0.00712914	+	1.57301i
$365$	0.916917	+	1.58815i	0.0479936	+	0.0831274i
$366$	43.9623	−	14.0236i	2.29795	−	0.733025i
$367$	21.6774	−	12.5155i	1.13155	−	0.653303i	0.187228	−	0.982316i	$-0.440050\pi$
$367$	21.6774	−	12.5155i	1.13155	−	0.653303i	0.944325	+	0.329014i	$0.106716\pi$
$368$	1.13336	+	0.654345i	0.0590804	+	0.0341101i
$369$	11.3161	−	4.20492i	0.589091	−	0.218900i
$370$	−42.9788	−	42.9788i	−2.23436	−	2.23436i
$371$	−21.2434	−	8.55473i	−1.10290	−	0.444139i
$372$	11.3341	+	35.5310i	0.587645	+	1.84220i
$373$	5.42051	−	9.38860i	0.280664	−	0.486124i	−0.690885	−	0.722965i	$-0.742779\pi$
$373$	5.42051	−	9.38860i	0.280664	−	0.486124i	0.971548	+	0.236841i	$0.0761122\pi$
$374$	1.24260			0.0642531
$375$	5.09920	+	15.9854i	0.263322	+	0.825481i
$376$	2.46887			0.127322
$377$	−19.6981	−	15.5706i	−1.01450	−	0.801924i
$378$	−27.3138	−	15.0519i	−1.40487	−	0.774187i
$379$	−15.8038	+	15.8038i	−0.811789	+	0.811789i	−0.984902	−	0.173113i	$-0.944617\pi$
$379$	−15.8038	+	15.8038i	−0.811789	+	0.811789i	0.173113	+	0.984902i	$0.444617\pi$
$380$	−3.70049			−0.189831
$381$	−18.8196	−	9.71675i	−0.964157	−	0.497804i
$382$	−1.01667	+	1.01667i	−0.0520176	+	0.0520176i
$383$	9.31758	−	2.49664i	0.476106	−	0.127572i	−0.0127827	−	0.999918i	$-0.504069\pi$
$383$	9.31758	−	2.49664i	0.476106	−	0.127572i	0.488889	+	0.872346i	$0.337402\pi$
$384$	28.6855	−	9.15042i	1.46385	−	0.466955i
$385$	1.35289	−	0.191708i	0.0689495	−	0.00977034i
$386$	−47.3061			−2.40782
$387$	2.11180	+	22.4052i	0.107349	+	1.13892i
$388$	−12.8388	−	47.9149i	−0.651789	−	2.43251i
$389$	−19.7910	+	11.4264i	−1.00345	+	0.579339i	−0.909266	−	0.416216i	$-0.863356\pi$
$389$	−19.7910	+	11.4264i	−1.00345	+	0.579339i	−0.0941795	+	0.995555i	$0.530023\pi$
$390$	31.7862	−	14.3970i	1.60956	−	0.729020i
$391$	−7.50598	+	4.33358i	−0.379594	+	0.219159i
$392$	−15.9369	−	8.78657i	−0.804937	−	0.443789i
$393$	−16.3675	+	10.5046i	−0.825631	+	0.529888i
$394$		−	31.2927i		−	1.57651i
$395$	8.40395	−	2.25183i	0.422848	−	0.113302i
$396$	−0.689291	−	1.85498i	−0.0346382	−	0.0932165i
$397$	−17.6449	−	4.72794i	−0.885573	−	0.237289i	−0.212763	−	0.977104i	$-0.568246\pi$
$397$	−17.6449	−	4.72794i	−0.885573	−	0.237289i	−0.672810	+	0.739815i	$0.734913\pi$
$398$	7.38738	+	27.5701i	0.370296	+	1.38196i
$399$	−1.23137	+	1.80901i	−0.0616454	+	0.0905640i
$400$	0.364537	−	0.210466i	0.0182269	−	0.0105233i
$401$	−10.0053	+	2.68092i	−0.499642	+	0.133879i	−0.499834	−	0.866121i	$-0.666606\pi$
$401$	−10.0053	+	2.68092i	−0.499642	+	0.133879i	0.000191909		1.00000i	$0.499939\pi$
$402$	−17.0005	−	8.77751i	−0.847906	−	0.437782i
$403$	−19.7920	+	14.7391i	−0.985909	+	0.734206i
$404$	8.83403	−	5.10033i	0.439509	−	0.253751i
$405$	−1.63554	+	22.1079i	−0.0812706	+	1.09855i
$406$	38.4554	−	16.3751i	1.90851	−	0.812683i
$407$	−1.97521	−	1.14039i	−0.0979074	−	0.0565269i
$408$	−2.50765	+	11.4936i	−0.124147	+	0.569019i
$409$	13.9954	+	13.9954i	0.692030	+	0.692030i	0.962678	−	0.270649i	$-0.0872381\pi$
$409$	13.9954	+	13.9954i	0.692030	+	0.692030i	−0.270649	+	0.962678i	$0.587238\pi$
$410$	−15.8991	−	15.8991i	−0.785201	−	0.785201i
$411$	17.8902	+	16.2833i	0.882460	+	0.803195i
$412$	−16.8157	−	9.70855i	−0.828450	−	0.478306i
$413$	−4.82569	−	3.62780i	−0.237457	−	0.178512i
$414$	17.3926	+	14.3963i	0.854799	+	0.707541i
$415$	32.4935	−	18.7601i	1.59504	−	0.920899i
$416$	13.1245	+	17.6238i	0.643480	+	0.864080i
$417$	−0.877594	−	18.6630i	−0.0429760	−	0.913933i
$418$	−0.219393	+	0.0587863i	−0.0107309	+	0.00287533i
$419$	26.1346	−	15.0888i	1.27676	−	0.737138i	0.300509	−	0.953779i	$-0.402843\pi$
$419$	26.1346	−	15.0888i	1.27676	−	0.737138i	0.976251	+	0.216641i	$0.0695102\pi$
$420$	−2.62703	+	35.4139i	−0.128186	+	1.72802i
$421$	−1.98760	−	7.41783i	−0.0968698	−	0.361523i	0.900426	−	0.435008i	$-0.143255\pi$
$421$	−1.98760	−	7.41783i	−0.0968698	−	0.361523i	−0.997296	+	0.0734851i	$0.976588\pi$
$422$	45.9499	+	12.3122i	2.23681	+	0.599350i
$423$	−2.80889	−	0.475870i	−0.136573	−	0.0231376i
$424$	21.7367	−	5.82432i	1.05563	−	0.282854i
$425$			2.78774i			0.135225i
$426$	−13.0887	−	6.75784i	−0.634151	−	0.327418i
$427$	−30.7650	+	4.35950i	−1.48882	+	0.210971i
$428$	6.73101	−	3.88615i	0.325355	−	0.187844i
$429$	1.01229	−	0.830537i	0.0488738	−	0.0400987i
$430$	36.3000	−	20.9578i	1.75054	−	1.01067i
$431$	9.38030	+	35.0078i	0.451833	+	1.68627i	0.697234	+	0.716843i	$0.254414\pi$
$431$	9.38030	+	35.0078i	0.451833	+	1.68627i	−0.245401	+	0.969422i	$0.578920\pi$
$432$	−2.02939	+	0.287984i	−0.0976392	+	0.0138557i
$433$	32.4764			1.56072			0.780358	−	0.625333i	$-0.215037\pi$
$433$	32.4764			1.56072			0.780358	+	0.625333i	$0.215037\pi$
$434$	−5.76331	−	40.6717i	−0.276648	−	1.95231i
$435$	−21.9719	−	19.9984i	−1.05347	−	0.958848i
$436$	10.4994	−	2.81332i	0.502832	−	0.134733i
$437$	1.12024	−	1.12024i	0.0535884	−	0.0535884i
$438$	−2.46187	+	1.58002i	−0.117633	+	0.0754964i
$439$	−34.2316			−1.63378			−0.816892	−	0.576790i	$-0.804305\pi$
$439$	−34.2316			−1.63378			−0.816892	+	0.576790i	$0.804305\pi$
$440$	−0.949412	+	0.949412i	−0.0452615	+	0.0452615i
$441$	16.4382	+	13.0685i	0.782772	+	0.622309i
$442$	−21.2231	+	2.48377i	−1.00948	+	0.118141i
$443$	−37.9683			−1.80393			−0.901965	−	0.431809i	$-0.857876\pi$
$443$	−37.9683			−1.80393			−0.901965	+	0.431809i	$0.857876\pi$
$444$	39.8985	−	43.8360i	1.89350	−	2.08036i
$445$	12.8351			0.608440
$446$	18.5792	−	32.1801i	0.879750	−	1.52377i
$447$	−32.4047	−	7.06996i	−1.53269	−	0.334398i
$448$	−34.1496	+	4.83910i	−1.61342	+	0.228626i
$449$	2.15888	+	2.15888i	0.101884	+	0.101884i	0.756211	−	0.654327i	$-0.227048\pi$
$449$	2.15888	+	2.15888i	0.101884	+	0.101884i	−0.654327	+	0.756211i	$0.727048\pi$
$450$	6.80722	−	2.52949i	0.320896	−	0.119241i
$451$	−0.730686	−	0.421862i	−0.0344066	−	0.0198647i
$452$	27.0559	−	15.6207i	1.27260	−	0.734736i
$453$	−23.2485	−	21.1603i	−1.09231	−	0.994195i
$454$	−19.6986	−	34.1189i	−0.924500	−	1.60128i
$455$	−22.7236	+	5.97852i	−1.06530	+	0.280277i
$456$	−0.101004	−	2.14795i	−0.00472992	−	0.100587i
$457$	−8.64325	+	8.64325i	−0.404314	+	0.404314i	−0.879750	−	0.475436i	$-0.842290\pi$
$457$	−8.64325	+	8.64325i	−0.404314	+	0.404314i	0.475436	+	0.879750i	$0.342290\pi$
$458$	−36.5892	−	21.1248i	−1.70970	−	0.987096i
$459$	5.06838	−	12.5932i	0.236572	−	0.587800i
$460$	6.65388	−	24.8326i	0.310239	−	1.15783i
$461$	33.6672	−	9.02109i	1.56804	−	0.420154i	0.632840	−	0.774283i	$-0.281889\pi$
$461$	33.6672	−	9.02109i	1.56804	−	0.420154i	0.935197	+	0.354129i	$0.115223\pi$
$462$	0.406838	+	2.14134i	0.0189278	+	0.0996242i
$463$	7.52337	−	28.0776i	0.349641	−	1.30488i	−0.537455	−	0.843292i	$-0.680614\pi$
$463$	7.52337	−	28.0776i	0.349641	−	1.30488i	0.887096	−	0.461585i	$-0.152719\pi$
$464$	1.37353	−	2.37903i	0.0637647	−	0.110444i
$465$	−24.5738	+	15.7714i	−1.13958	+	0.731380i
$466$	12.8267	−	47.8700i	0.594187	−	2.21754i
$467$	−11.8083	−	20.4526i	−0.546423	−	0.946432i	−0.998516	−	0.0544613i	$-0.982656\pi$
$467$	−11.8083	−	20.4526i	−0.546423	−	0.946432i	0.452093	−	0.891971i	$-0.350677\pi$
$468$	15.4807	+	30.3046i	0.715594	+	1.40083i
$469$	10.2979	+	7.74165i	0.475513	+	0.357476i
$470$	1.37335	+	5.12541i	0.0633479	+	0.236417i
$471$	−18.6806	−	9.64500i	−0.860758	−	0.444418i
$472$	5.93239			0.273060
$473$	1.11217	−	1.11217i	0.0511378	−	0.0511378i
$474$	4.21778	+	13.2222i	0.193729	+	0.607317i
$475$	−0.131886	−	0.492204i	−0.00605133	−	0.0225839i
$476$	8.12301	−	20.1713i	0.372318	−	0.924550i
$477$	−25.8529	+	2.43676i	−1.18372	+	0.111571i
$478$	−58.3200	+	33.6711i	−2.66749	+	1.54008i
$479$	5.38069	+	1.44175i	0.245850	+	0.0658753i	0.379640	−	0.925134i	$-0.376048\pi$
$479$	5.38069	+	1.44175i	0.245850	+	0.0658753i	−0.133790	+	0.991010i	$0.542715\pi$
$480$	14.0437	+	21.8818i	0.641004	+	0.998763i
$481$	36.0153	+	15.5292i	1.64216	+	0.708072i
$482$	10.8897	−	6.28720i	0.496014	−	0.286374i
$483$	−9.92550	−	11.5160i	−0.451626	−	0.523998i
$484$	17.2341	−	29.8504i	0.783369	−	1.35684i
$485$	33.6343	−	19.4187i	1.52725	−	0.881760i
$486$	−35.3495	−	0.949608i	−1.60349	−	0.0430751i
$487$	4.90225	+	18.2954i	0.222142	+	0.829046i	0.983529	+	0.180748i	$0.0578520\pi$
$487$	4.90225	+	18.2954i	0.222142	+	0.829046i	−0.761387	+	0.648297i	$0.775481\pi$
$488$	21.5899	−	21.5899i	0.977329	−	0.977329i
$489$	14.1995	+	12.9241i	0.642124	+	0.584447i
$490$	9.37586	−	37.9730i	0.423558	−	1.71544i
$491$	−8.74371	+	5.04818i	−0.394598	+	0.227821i	−0.684151	−	0.729341i	$-0.739827\pi$
$491$	−8.74371	+	5.04818i	−0.394598	+	0.227821i	0.289552	+	0.957162i	$0.406494\pi$
$492$	14.7596	−	16.2162i	0.665414	−	0.731082i
$493$	9.09661	+	15.7558i	0.409691	+	0.709605i
$494$	3.62965	−	1.44258i	0.163306	−	0.0649049i
$495$	1.26316	−	0.897169i	0.0567750	−	0.0403248i
$496$	−1.90907	−	1.90907i	−0.0857199	−	0.0857199i
$497$	7.92840	+	5.96032i	0.355637	+	0.267357i
$498$	32.3273	+	50.3699i	1.44862	+	2.25713i
$499$	−3.75374	−	14.0091i	−0.168040	−	0.627135i	−0.997633	−	0.0687657i	$-0.978094\pi$
$499$	−3.75374	−	14.0091i	−0.168040	−	0.627135i	0.829593	−	0.558369i	$-0.188573\pi$
$500$	21.5504	+	21.5504i	0.963763	+	0.963763i
$501$	−9.89062	+	10.8667i	−0.441880	+	0.485488i
$502$	13.2959	−	13.2959i	0.593424	−	0.593424i
$503$			40.4517i			1.80365i	0.432099	+	0.901826i	$0.357773\pi$
$503$			40.4517i			1.80365i	−0.432099	+	0.901826i	$0.642227\pi$
$504$	−20.6277	−	0.558253i	−0.918833	−	0.0248666i
$505$	5.64726	+	5.64726i	0.251300	+	0.251300i
$506$		−	1.57797i		−	0.0701494i
$507$	−15.6294	+	16.2087i	−0.694127	+	0.719853i
$508$	−38.4708			−1.70687
$509$	−5.91293	+	1.58436i	−0.262086	+	0.0702257i	−0.387469	−	0.921883i	$-0.626651\pi$
$509$	−5.91293	+	1.58436i	−0.262086	+	0.0702257i	0.125383	+	0.992108i	$0.459984\pi$
$510$	−25.2558	+	1.18761i	−1.11835	+	0.0525882i
$511$	1.81232	−	0.771723i	0.0801723	−	0.0341390i
$512$	−3.15028	+	3.15028i	−0.139224	+	0.139224i
$513$	−0.299100	+	2.46324i	−0.0132056	+	0.108755i
$514$	−4.53347	−	16.9192i	−0.199963	−	0.746272i
$515$	3.93464	−	14.6843i	0.173381	−	0.647066i
$516$	22.0785	+	34.4011i	0.971953	+	1.51442i
$517$	0.0995559	+	0.172436i	0.00437847	+	0.00758372i
$518$	−51.4013	+	40.2535i	−2.25844	+	1.76864i
$519$	14.4275	−	27.9434i	0.633296	−	1.22658i
$520$	14.3179	−	18.1133i	0.627880	−	0.794323i
$521$	11.9848	+	6.91942i	0.525063	+	0.303145i	0.739004	−	0.673701i	$-0.235297\pi$
$521$	11.9848	+	6.91942i	0.525063	+	0.303145i	−0.213941	+	0.976847i	$0.568630\pi$
$522$	30.2193	−	36.5088i	1.32266	−	1.59794i
$523$	−2.08274	+	1.20247i	−0.0910718	+	0.0525804i	−0.544844	−	0.838537i	$-0.683411\pi$
$523$	−2.08274	+	1.20247i	−0.0910718	+	0.0525804i	0.453772	+	0.891118i	$0.350078\pi$
$524$	−17.6628	+	30.5929i	−0.771603	+	1.33646i
$525$	−4.80405	+	0.912731i	−0.209666	+	0.0398348i
$526$	7.47786	+	2.00369i	0.326050	+	0.0873648i
$527$	17.2712	−	4.62779i	0.752343	−	0.201590i
$528$	0.105944	+	0.0964276i	0.00461061	+	0.00419647i
$529$	−5.99679	−	10.3867i	−0.260730	−	0.451597i
$530$	24.1827	+	41.8857i	1.05043	+	1.81940i
$531$	−6.74941	−	1.14346i	−0.292899	−	0.0496218i
$532$	−0.479914	+	3.94575i	−0.0208069	+	0.171070i
$533$	13.3231	+	5.74471i	0.577087	+	0.248831i
$534$	0.961695	+	20.4515i	0.0416166	+	0.885025i
$535$	4.30287	+	4.30287i	0.186029	+	0.186029i
$536$	−12.6596			−0.546811
$537$	2.28228	−	1.46476i	0.0984876	−	0.0632091i
$538$	−53.2004	+	14.2550i	−2.29363	+	0.614577i
$539$	−0.0289591	−	1.46741i	−0.00124736	−	0.0632060i
$540$	15.7828	+	37.0439i	0.679182	+	1.59411i
$541$	−5.45558	+	20.3605i	−0.234554	+	0.875366i	0.743796	+	0.668407i	$0.233023\pi$
$541$	−5.45558	+	20.3605i	−0.234554	+	0.875366i	−0.978350	+	0.206959i	$0.933643\pi$
$542$	−37.9315	+	21.8998i	−1.62930	+	0.940676i
$543$	6.07014	−	11.7568i	0.260495	−	0.504531i
$544$	−4.12083	−	15.3792i	−0.176679	−	0.659376i
$545$	4.25517	+	7.37016i	0.182271	+	0.315703i
$546$	−11.2289	−	35.7601i	−0.480551	−	1.53039i
$547$	1.38303	−	2.39548i	0.0591341	−	0.102423i	−0.834943	−	0.550337i	$-0.814499\pi$
$547$	1.38303	−	2.39548i	0.0591341	−	0.102423i	0.894077	+	0.447913i	$0.147833\pi$
$548$	42.4427	+	11.3725i	1.81306	+	0.485809i
$549$	−28.7247	+	20.4019i	−1.22594	+	0.870731i
$550$	−0.439547	−	0.253772i	−0.0187423	−	0.0108209i
$551$	−2.35150	−	2.35150i	−0.100177	−	0.100177i
$552$	14.5957	+	3.18446i	0.621236	+	0.135540i
$553$	−1.31117	−	9.25298i	−0.0557568	−	0.393477i
$554$	−5.10451	+	19.0503i	−0.216870	+	0.809370i
$555$	41.2361	+	21.2906i	1.75038	+	0.903736i
$556$	−16.9682	−	29.3899i	−0.719614	−	1.24641i
$557$	31.1007	−	8.33340i	1.31778	−	0.353098i	0.469633	−	0.882862i	$-0.344386\pi$
$557$	31.1007	−	8.33340i	1.31778	−	0.353098i	0.848145	+	0.529764i	$0.177719\pi$
$558$	−26.9716	−	37.9744i	−1.14180	−	1.60759i
$559$	−16.7724	+	21.2186i	−0.709399	+	0.897451i
$560$	−1.00715	−	2.36520i	−0.0425599	−	0.0999480i
$561$	−0.903881	+	0.288330i	−0.0381619	+	0.0121733i
$562$	−25.1378	+	43.5400i	−1.06038	+	1.83662i
$563$	−7.17886			−0.302553			−0.151276	−	0.988491i	$-0.548338\pi$
$563$	−7.17886			−0.302553			−0.151276	+	0.988491i	$0.548338\pi$
$564$	−4.92994	+	1.57261i	−0.207588	+	0.0662188i
$565$	17.2958	+	17.2958i	0.727639	+	0.727639i
$566$	3.61168	−	3.61168i	0.151810	−	0.151810i
$567$	23.3610	+	4.61110i	0.981071	+	0.193648i
$568$	−9.74666			−0.408961
$569$		−	25.6805i		−	1.07658i	−0.842759	−	0.538292i	$-0.819070\pi$
$569$		−	25.6805i		−	1.07658i	0.842759	−	0.538292i	$-0.180930\pi$
$570$	4.40300	−	1.40452i	0.184421	−	0.0588288i
$571$		−	24.4940i		−	1.02504i	−0.858675	−	0.512520i	$-0.828712\pi$
$571$		−	24.4940i		−	1.02504i	0.858675	−	0.512520i	$-0.171288\pi$
$572$	0.941699	−	2.18398i	0.0393744	−	0.0913169i
$573$	0.503634	−	0.975450i	0.0210396	−	0.0407500i
$574$	−19.0148	+	14.8909i	−0.793662	+	0.621535i
$575$	3.54014			0.147634
$576$	−31.8848	+	22.6464i	−1.32854	+	0.943599i
$577$	25.0902	−	6.72289i	1.04452	−	0.279878i	0.304533	−	0.952502i	$-0.401499\pi$
$577$	25.0902	−	6.72289i	1.04452	−	0.279878i	0.739984	+	0.672624i	$0.234833\pi$
$578$	−22.2952	−	5.97399i	−0.927359	−	0.248485i
$579$	34.4111	−	10.9768i	1.43008	−	0.456182i
$580$	−52.1261	−	13.9671i	−2.16442	−	0.579954i
$581$	−15.7894	−	37.0801i	−0.655057	−	1.53834i
$582$	33.4622	+	52.1382i	1.38705	+	2.16120i
$583$	1.28331	+	1.28331i	0.0531494	+	0.0531494i
$584$	−0.967789	+	1.67626i	−0.0400474	+	0.0693641i
$585$	−19.7811	+	17.8482i	−0.817846	+	0.737932i
$586$	8.78265	−	5.07066i	0.362808	−	0.209467i
$587$	15.3675	−	4.11772i	0.634286	−	0.169956i	0.0726721	−	0.997356i	$-0.476847\pi$
$587$	15.3675	−	4.11772i	0.634286	−	0.169956i	0.561614	+	0.827400i	$0.310181\pi$
$588$	37.4203	+	7.39394i	1.54319	+	0.304921i
$589$	−2.83047	+	1.63417i	−0.116627	+	0.0673348i
$590$	3.29999	+	12.3157i	0.135858	+	0.507030i
$591$	7.26112	+	22.7627i	0.298683	+	0.936334i
$592$	−1.11059	+	4.14477i	−0.0456448	+	0.170349i
$593$	−42.3837	−	11.3567i	−1.74049	−	0.466363i	−0.757935	−	0.652330i	$-0.773792\pi$
$593$	−42.3837	−	11.3567i	−1.74049	−	0.466363i	−0.982556	+	0.185966i	$0.940458\pi$
$594$	1.52421	+	1.94552i	0.0625389	+	0.0798256i
$595$	16.9007	+	2.05560i	0.692860	+	0.0842712i
$596$	−58.1909	+	15.5922i	−2.38359	+	0.638681i
$597$	−11.7710	−	18.3407i	−0.481754	−	0.750633i
$598$	3.15414	+	26.9512i	0.128982	+	1.10212i
$599$	31.8007			1.29934			0.649670	−	0.760216i	$-0.274907\pi$
$599$	31.8007			1.29934			0.649670	+	0.760216i	$0.274907\pi$
$600$	3.23435	−	3.55354i	0.132042	−	0.145072i
$601$	−5.58164	−	3.22256i	−0.227680	−	0.131451i	0.381821	−	0.924236i	$-0.375297\pi$
$601$	−5.58164	−	3.22256i	−0.227680	−	0.131451i	−0.609501	+	0.792785i	$0.708630\pi$
$602$	−17.6391	−	41.4238i	−0.718916	−	1.68831i
$603$	14.4031	+	2.44011i	0.586539	+	0.0993690i
$604$	−55.1546	−	14.7786i	−2.24421	−	0.601334i
$605$	26.0668	+	6.98457i	1.05976	+	0.283963i
$606$	−8.57527	+	9.42154i	−0.348347	+	0.382724i
$607$	−14.1379	−	8.16253i	−0.573840	−	0.331307i	0.184842	−	0.982768i	$-0.440823\pi$
$607$	−14.1379	−	8.16253i	−0.573840	−	0.331307i	−0.758682	+	0.651462i	$0.774156\pi$
$608$	1.45515	+	2.52040i	0.0590142	+	0.102216i
$609$	−24.1733	+	20.8346i	−0.979552	+	0.844261i
$610$	56.8307	+	32.8112i	2.30101	+	1.32849i
$611$	−2.04505	−	2.74614i	−0.0827340	−	0.111097i
$612$	−2.31378	−	24.5482i	−0.0935292	−	0.992303i
$613$	4.36834	+	16.3029i	0.176436	+	0.658467i	0.996303	+	0.0859127i	$0.0273806\pi$
$613$	4.36834	+	16.3029i	0.176436	+	0.658467i	−0.819867	+	0.572554i	$0.805953\pi$
$614$		−	27.5606i		−	1.11226i
$615$	15.2544	+	7.87601i	0.615117	+	0.317591i
$616$	0.889208	+	1.13547i	0.0358272	+	0.0457492i
$617$	2.86991	+	0.768991i	0.115538	+	0.0309584i	0.316125	−	0.948718i	$-0.397618\pi$
$617$	2.86991	+	0.768991i	0.115538	+	0.0309584i	−0.200587	+	0.979676i	$0.564285\pi$
$618$	23.6929	+	5.16925i	0.953068	+	0.207938i
$619$	−12.5101	−	3.35207i	−0.502823	−	0.134731i	−0.00151323	−	0.999999i	$-0.500482\pi$
$619$	−12.5101	−	3.35207i	−0.502823	−	0.134731i	−0.501310	+	0.865268i	$0.667148\pi$
$620$	−26.5185	+	45.9314i	−1.06501	+	1.84465i
$621$	−15.9921	−	6.43633i	−0.641741	−	0.258281i
$622$	3.32183	−	3.32183i	0.133193	−	0.133193i
$623$	1.66457	−	13.6857i	0.0666896	−	0.548308i
$624$	−2.00222	−	1.43518i	−0.0801531	−	0.0574532i
$625$	−14.5984	+	25.2851i	−0.583935	+	1.01140i
$626$	−40.8146	−	40.8146i	−1.63128	−	1.63128i
$627$	0.145949	−	0.0936697i	0.00582864	−	0.00374081i
$628$	−38.1867			−1.52382
$629$	−20.0947	−	20.0947i	−0.801228	−	0.801228i
$630$	−10.3156	−	43.1340i	−0.410982	−	1.71850i
$631$	12.7439	+	12.7439i	0.507327	+	0.507327i	0.913705	−	0.406378i	$-0.133208\pi$
$631$	12.7439	+	12.7439i	0.507327	+	0.507327i	−0.406378	+	0.913705i	$0.633208\pi$
$632$	6.49344	+	6.49344i	0.258295	+	0.258295i
$633$	−36.2815	+	1.70607i	−1.44206	+	0.0678101i
$634$		−	58.1205i		−	2.30826i
$635$	−7.79564	−	29.0937i	−0.309360	−	1.15455i
$636$	−39.6947	+	25.4759i	−1.57400	+	1.01019i
$637$	3.42776	+	25.0050i	0.135813	+	0.990735i
$638$	−3.31232			−0.131136
$639$	11.0890	+	1.87865i	0.438673	+	0.0743182i
$640$	37.0821	+	21.4094i	1.46580	+	0.846280i
$641$	24.3322	−	14.0482i	0.961064	−	0.554871i	0.0645638	−	0.997914i	$-0.479434\pi$
$641$	24.3322	−	14.0482i	0.961064	−	0.554871i	0.896500	+	0.443043i	$0.146101\pi$
$642$	−6.53385	+	7.17865i	−0.257870	+	0.283319i
$643$	10.4078	−	38.8423i	0.410442	−	1.53179i	−0.383351	−	0.923603i	$-0.625230\pi$
$643$	10.4078	−	38.8423i	0.410442	−	1.53179i	0.793793	−	0.608188i	$-0.208103\pi$
$644$	−25.6155	−	10.3154i	−1.00939	−	0.406484i
$645$	−21.5420	+	23.6680i	−0.848217	+	0.931925i
$646$	−2.83005			−0.111347
$647$	−1.20123	+	2.08058i	−0.0472251	+	0.0817962i	−0.888672	−	0.458544i	$-0.848371\pi$
$647$	−1.20123	+	2.08058i	−0.0472251	+	0.0817962i	0.841447	+	0.540340i	$0.181704\pi$
$648$	−21.0714	+	10.1722i	−0.827762	+	0.399603i
$649$	0.239220	+	0.414342i	0.00939023	+	0.0162643i
$650$	8.01454	+	3.45575i	0.314356	+	0.135546i
$651$	13.6297	+	28.2478i	0.534191	+	1.10712i
$652$	33.6869	+	9.02637i	1.31928	+	0.353500i
$653$	−11.6977	+	20.2610i	−0.457765	+	0.792873i	−0.998843	−	0.0481002i	$-0.984683\pi$
$653$	−11.6977	+	20.2610i	−0.457765	+	0.792873i	0.541077	+	0.840973i	$0.318017\pi$
$654$	−11.4249	+	7.33246i	−0.446748	+	0.286722i
$655$	−26.7152	−	7.15830i	−1.04385	−	0.279698i
$656$	−0.410838	+	1.53327i	−0.0160405	+	0.0598640i
$657$	1.42417	−	1.72058i	0.0555622	−	0.0671261i
$658$	5.64322	−	0.799661i	0.219996	−	0.0311740i
$659$	10.0679	−	17.4382i	0.392191	−	0.679295i	−0.600547	−	0.799589i	$-0.705050\pi$
$659$	10.0679	−	17.4382i	0.392191	−	0.679295i	0.992738	+	0.120294i	$0.0383838\pi$
$660$	1.29107	−	2.50058i	0.0502549	−	0.0973348i
$661$	−12.6546	+	12.6546i	−0.492205	+	0.492205i	−0.909000	−	0.416795i	$-0.863153\pi$
$661$	−12.6546	+	12.6546i	−0.492205	+	0.492205i	0.416795	+	0.909000i	$0.363153\pi$
$662$			38.6824i			1.50343i
$663$	14.8616	−	6.73130i	0.577177	−	0.261422i
$664$	34.2963	+	19.8010i	1.33095	+	0.768427i
$665$	−3.08124	+	0.436621i	−0.119485	+	0.0169314i
$666$	−30.8350	+	67.3014i	−1.19483	+	2.60787i
$667$	20.0083	−	11.5518i	0.774724	−	0.447287i
$668$	−6.90776	+	25.7801i	−0.267269	+	0.997462i
$669$	−6.04771	+	27.7193i	−0.233818	+	1.07169i
$670$	−7.04210	−	26.2815i	−0.272060	−	1.01534i
$671$	2.37853	+	0.637325i	0.0918221	+	0.0246037i
$672$	25.1534	−	12.1366i	0.970313	−	0.468181i
$673$	0.0858892	+	0.0495882i	0.00331079	+	0.00191148i	0.501654	−	0.865068i	$-0.332725\pi$
$673$	0.0858892	+	0.0495882i	0.00331079	+	0.00191148i	−0.498344	+	0.866980i	$0.666058\pi$
$674$	−11.9359	+	44.5455i	−0.459755	+	1.71583i
$675$	−4.36472	+	3.41952i	−0.167998	+	0.131617i
$676$	−11.7184	+	39.1839i	−0.450708	+	1.50707i
$677$			23.4458i			0.901096i	0.892752	+	0.450548i	$0.148771\pi$
$677$			23.4458i			0.901096i	−0.892752	+	0.450548i	$0.851229\pi$
$678$	−26.2634	+	28.8552i	−1.00864	+	1.10818i
$679$	−16.3438	−	38.3819i	−0.627216	−	1.47296i
$680$	−14.4882	+	8.36478i	−0.555598	+	0.320774i
$681$	22.2459	+	20.2477i	0.852465	+	0.775894i
$682$	−0.842551	+	3.14444i	−0.0322630	+	0.120407i
$683$	−15.3868	+	4.12287i	−0.588758	+	0.157757i	−0.540886	−	0.841096i	$-0.681911\pi$
$683$	−15.3868	+	4.12287i	−0.588758	+	0.157757i	−0.0478726	+	0.998853i	$0.515244\pi$
$684$	1.56988	+	4.22478i	0.0600259	+	0.161539i
$685$			34.4020i			1.31443i
$686$	−39.2738	−	14.9220i	−1.49948	−	0.569723i
$687$	31.5172	+	6.87633i	1.20246	+	0.262348i
$688$	−2.56267	−	1.47956i	−0.0977009	−	0.0564076i
$689$	−24.4837	−	19.3534i	−0.932754	−	0.737305i
$690$	1.50814	+	32.0724i	0.0574140	+	1.22097i
$691$	25.2709	+	25.2709i	0.961351	+	0.961351i	0.999280	−	0.0379296i	$-0.0120763\pi$
$691$	25.2709	+	25.2709i	0.961351	+	0.961351i	−0.0379296	+	0.999280i	$0.512076\pi$
$692$		−	57.1216i		−	2.17144i
$693$	−0.792813	−	1.46324i	−0.0301165	−	0.0555838i
$694$	−3.97523	+	3.97523i	−0.150898	+	0.150898i
$695$	18.7878	−	18.7878i	0.712662	−	0.712662i
$696$	6.68449	−	30.6379i	0.253375	−	1.16133i
$697$	−7.43360	−	7.43360i	−0.281568	−	0.281568i
$698$	54.5137	+	31.4735i	2.06337	+	1.19129i
$699$	1.77736	+	37.7976i	0.0672259	+	1.42964i
$700$	−6.99290	+	5.47630i	−0.264307	+	0.206985i
$701$		−	7.71012i		−	0.291207i	−0.989343	−	0.145604i	$-0.953488\pi$
$701$		−	7.71012i		−	0.291207i	0.989343	−	0.145604i	$-0.0465124\pi$
$702$	−29.9217	−	30.1821i	−1.12932	−	1.13915i
$703$	4.49860	+	2.59727i	0.169668	+	0.0979577i
$704$	2.64020	+	0.707440i	0.0995063	+	0.0266626i
$705$	−2.18828	−	3.40962i	−0.0824156	−	0.128414i
$706$	−5.22185	−	9.04451i	−0.196527	−	0.340395i
$707$	6.75393	−	5.28915i	0.254008	−	0.198919i
$708$	−11.8460	+	3.77878i	−0.445201	+	0.142015i
$709$	−36.4563	−	36.4563i	−1.36914	−	1.36914i	−0.861662	−	0.507482i	$-0.830576\pi$
$709$	−36.4563	−	36.4563i	−1.36914	−	1.36914i	−0.507482	−	0.861662i	$-0.669424\pi$
$710$	−5.42174	−	20.2342i	−0.203474	−	0.759376i
$711$	−6.13613	−	8.63933i	−0.230123	−	0.324000i
$712$	6.77359	+	11.7322i	0.253851	+	0.439683i
$713$	−5.87683	−	21.9326i	−0.220089	−	0.821383i
$714$	−2.00909	+	27.0838i	−0.0751884	+	1.01358i
$715$	1.84247	+	0.269607i	0.0689045	+	0.0100827i
$716$	2.46290	−	4.26586i	0.0920428	−	0.159423i
$717$	34.6097	−	38.0252i	1.29252	−	1.42008i
$718$	33.4730	+	57.9769i	1.24920	+	2.16368i
$719$	9.43607	+	16.3437i	0.351906	+	0.609519i	0.986583	−	0.163258i	$-0.0522004\pi$
$719$	9.43607	+	16.3437i	0.351906	+	0.609519i	−0.634678	+	0.772777i	$0.718867\pi$
$720$	−2.24547	−	1.85864i	−0.0836838	−	0.0692674i
$721$	−15.1472	−	6.09981i	−0.564112	−	0.227169i
$722$	−41.1330	+	11.0216i	−1.53081	+	0.410180i
$723$	−6.46247	+	7.10023i	−0.240342	+	0.264060i
$724$		−	24.0330i		−	0.893181i
$725$		−	7.43111i		−	0.275985i
$726$	−9.17619	+	42.0584i	−0.340560	+	1.56094i
$727$	−12.6171	+	21.8534i	−0.467941	+	0.810498i	−0.999329	−	0.0366309i	$-0.988337\pi$
$727$	−12.6171	+	21.8534i	−0.467941	+	0.810498i	0.531388	+	0.847129i	$0.321671\pi$
$728$	−17.4570	−	17.6159i	−0.646999	−	0.652890i
$729$	25.9340	−	7.51169i	0.960520	−	0.278211i
$730$	−4.01829	−	1.07670i	−0.148723	−	0.0398503i
$731$	16.9720	−	9.79879i	0.627732	−	0.362421i
$732$	−29.3593	+	56.8638i	−1.08515	+	2.10175i
$733$	−40.1028	+	10.7455i	−1.48123	+	0.396895i	−0.906766	−	0.421634i	$-0.861457\pi$
$733$	−40.1028	+	10.7455i	−1.48123	+	0.396895i	−0.574465	+	0.818529i	$0.694790\pi$
$734$	−14.6964	+	54.8477i	−0.542454	+	2.02446i
$735$	1.99107	+	29.7976i	0.0734418	+	1.09910i
$736$	−19.5300	+	5.23304i	−0.719885	+	0.192893i
$737$	−0.510491	−	0.884197i	−0.0188042	−	0.0325698i
$738$	−11.4068	+	24.8967i	−0.419888	+	0.916460i
$739$	16.6228	−	4.45407i	0.611481	−	0.163846i	0.0602287	−	0.998185i	$-0.480817\pi$
$739$	16.6228	−	4.45407i	0.611481	−	0.163846i	0.551252	+	0.834339i	$0.314150\pi$
$740$	84.2943			3.09872
$741$	−2.30552	+	1.89157i	−0.0846955	+	0.0694887i
$742$	47.7981	−	20.3534i	1.75472	−	0.747196i
$743$	−40.8022	−	10.9329i	−1.49689	−	0.401089i	−0.584831	−	0.811156i	$-0.698839\pi$
$743$	−40.8022	−	10.9329i	−1.49689	−	0.401089i	−0.912056	+	0.410066i	$0.865506\pi$
$744$	−27.3848	−	14.1390i	−1.00397	−	0.518362i
$745$	−23.5833	−	40.8476i	−0.864027	−	1.49654i
$746$	6.36508	+	23.7548i	0.233042	+	0.869725i
$747$	−35.2030	−	29.1385i	−1.28801	−	1.06612i
$748$	−1.21855	+	1.21855i	−0.0445546	+	0.0445546i
$749$	5.14610	−	4.03002i	0.188034	−	0.147254i
$750$	−33.8210	−	17.4621i	−1.23497	−	0.637627i
$751$	2.89256	+	1.67002i	0.105551	+	0.0609398i	0.551846	−	0.833946i	$-0.313924\pi$
$751$	2.89256	+	1.67002i	0.105551	+	0.0609398i	−0.446295	+	0.894886i	$0.647257\pi$
$752$	0.264884	−	0.264884i	0.00965934	−	0.00965934i
$753$	−6.58644	+	12.7568i	−0.240023	+	0.464882i
$754$	56.5732	−	6.62084i	2.06027	−	0.241117i
$755$		−	44.7056i		−	1.62701i
$756$	41.5459	−	12.0246i	1.51101	−	0.437331i
$757$	51.0120			1.85406			0.927032	−	0.374983i	$-0.122351\pi$
$757$	51.0120			1.85406			0.927032	+	0.374983i	$0.122351\pi$
$758$		−	50.7008i		−	1.84154i
$759$	0.366150	+	1.14784i	0.0132904	+	0.0416639i
$760$	2.16232	−	2.16232i	0.0784354	−	0.0784354i
$761$	0.203938	+	0.761108i	0.00739276	+	0.0275901i	0.969524	−	0.244998i	$-0.0787872\pi$
$761$	0.203938	+	0.761108i	0.00739276	+	0.0275901i	−0.962131	+	0.272588i	$0.912121\pi$
$762$	45.7742	−	14.6016i	1.65822	−	0.528959i
$763$	8.41049	−	3.58136i	0.304480	−	0.129654i
$764$		−	1.99400i		−	0.0721404i
$765$	18.0958	−	6.72421i	0.654257	−	0.243114i
$766$	−10.9412	+	18.9508i	−0.395323	+	0.684720i
$767$	−4.91401	−	6.59864i	−0.177434	−	0.238263i
$768$	−10.6179	+	20.5650i	−0.383140	+	0.742074i
$769$	−5.69867	+	21.2677i	−0.205499	+	0.766934i	0.783798	+	0.621016i	$0.213280\pi$
$769$	−5.69867	+	21.2677i	−0.205499	+	0.766934i	−0.989297	+	0.145917i	$0.953387\pi$
$770$	−1.86261	+	2.47763i	−0.0671236	+	0.0892876i
$771$	7.22360	+	11.2553i	0.260152	+	0.405349i
$772$	46.3907	−	46.3907i	1.66964	−	1.66964i
$773$	18.6285	−	4.99149i	0.670021	−	0.179532i	0.0922566	−	0.995735i	$-0.470592\pi$
$773$	18.6285	−	4.99149i	0.670021	−	0.179532i	0.577764	+	0.816204i	$0.303925\pi$
$774$	−39.3269	−	32.5520i	−1.41358	−	1.17006i
$775$	−7.05449	−	1.89024i	−0.253405	−	0.0678996i
$776$	35.5003	+	20.4961i	1.27439	+	0.735768i
$777$	28.0496	−	41.2080i	1.00627	−	1.47833i
$778$	13.4175	−	50.0747i	0.481040	−	1.79527i
$779$	1.66416	+	0.960803i	0.0596247	+	0.0344243i
$780$	−17.0527	+	45.2896i	−0.610586	+	1.62163i
$781$	−0.393029	−	0.680746i	−0.0140637	−	0.0243590i
$782$	5.08874	−	18.9914i	0.181973	−	0.679132i
$783$	−13.5105	+	33.5690i	−0.482825	+	1.19966i
$784$	−2.65258	+	0.767161i	−0.0947349	+	0.0273986i
$785$	−7.73807	−	28.8789i	−0.276184	−	1.03073i
$786$	9.40444	−	43.1046i	0.335445	−	1.53749i
$787$	33.0073	−	33.0073i	1.17658	−	1.17658i	0.195976	−	0.980609i	$-0.437213\pi$
$787$	33.0073	−	33.0073i	1.17658	−	1.17658i	0.980609	−	0.195976i	$-0.0627875\pi$
$788$	30.6872	+	30.6872i	1.09319	+	1.09319i
$789$	−5.90442	+	0.277644i	−0.210203	+	0.00988440i
$790$	−9.86839	+	17.0926i	−0.351102	+	0.608126i
$791$	20.6852	−	16.1990i	0.735480	−	0.575971i
$792$	1.48670	+	0.681152i	0.0528277	+	0.0242037i
$793$	−41.8983	−	6.13094i	−1.48785	−	0.217716i
$794$	35.8875	−	20.7197i	1.27360	−	0.735314i
$795$	−27.3099	−	24.8569i	−0.968584	−	0.881583i
$796$	−34.2810	−	19.7921i	−1.21506	−	0.701513i
$797$	11.1403	+	19.2956i	0.394610	+	0.683485i	0.993051	−	0.117682i	$-0.0375462\pi$
$797$	11.1403	+	19.2956i	0.394610	+	0.683485i	−0.598441	+	0.801167i	$0.704213\pi$
$798$	−0.926585	−	4.87697i	−0.0328008	−	0.172643i
$799$	0.642108	+	2.39638i	0.0227161	+	0.0847778i
$800$	−1.68317	+	6.28169i	−0.0595092	+	0.222091i
$801$	−5.44510	−	14.6536i	−0.192393	−	0.517758i
$802$	11.7488	−	20.3496i	0.414865	−	0.718568i
$803$	−0.156102			−0.00550873
$804$	25.2791	−	8.06383i	0.891527	−	0.284389i
$805$	2.61040	−	21.4622i	0.0920045	−	0.756441i
$806$	8.10518	−	55.3901i	0.285493	−	1.95103i
$807$	35.3910	−	22.7138i	1.24582	−	0.799564i
$808$	−2.18172	+	8.14230i	−0.0767527	+	0.286445i
$809$	−11.3644	+	19.6837i	−0.399550	+	0.692042i	−0.993670	−	0.112335i	$-0.964167\pi$
$809$	−11.3644	+	19.6837i	−0.399550	+	0.692042i	0.594120	+	0.804376i	$0.297500\pi$
$810$	−32.8390	−	38.0860i	−1.15384	−	1.33821i
$811$	−5.88698	−	5.88698i	−0.206720	−	0.206720i	0.596152	−	0.802872i	$-0.296696\pi$
$811$	−5.88698	−	5.88698i	−0.206720	−	0.206720i	−0.802872	+	0.596152i	$0.796696\pi$
$812$	−21.6531	+	53.7695i	−0.759873	+	1.88694i
$813$	22.5103	−	24.7318i	0.789470	−	0.867381i
$814$	4.99762	−	1.33911i	0.175166	−	0.0469357i
$815$			27.3049i			0.956450i
$816$	0.964103	+	1.50219i	0.0337503	+	0.0525872i
$817$	−2.53301	+	2.53301i	−0.0886188	+	0.0886188i
$818$	−44.8992			−1.56986
$819$	16.4657	+	23.4068i	0.575360	+	0.817901i
$820$	31.1829			1.08895
$821$	−9.01131	+	9.01131i	−0.314497	+	0.314497i	−0.846649	−	0.532152i	$-0.821383\pi$
$821$	−9.01131	+	9.01131i	−0.314497	+	0.314497i	0.532152	+	0.846649i	$0.321383\pi$
$822$	−54.8165	+	2.57764i	−1.91195	+	0.0899057i
$823$			8.68790i			0.302841i	0.988469	+	0.151421i	$0.0483848\pi$
$823$			8.68790i			0.302841i	−0.988469	+	0.151421i	$0.951615\pi$
$824$	15.4990	−	4.15294i	0.539932	−	0.144674i
$825$	0.378617	+	0.0826055i	0.0131817	+	0.00287595i
$826$	13.5599	−	1.92148i	0.471811	−	0.0668570i
$827$	29.4938	+	29.4938i	1.02560	+	1.02560i	0.999664	+	0.0259373i	$0.00825702\pi$
$827$	29.4938	+	29.4938i	1.02560	+	1.02560i	0.0259373	+	0.999664i	$0.491743\pi$
$828$	−31.1738	+	2.93827i	−1.08336	+	0.102112i
$829$	−4.40225	+	7.62492i	−0.152897	+	0.264825i	−0.932291	−	0.361709i	$-0.882193\pi$
$829$	−4.40225	+	7.62492i	−0.152897	+	0.264825i	0.779395	+	0.626533i	$0.215527\pi$
$830$	−22.0292	+	82.2142i	−0.764645	+	2.85370i
$831$	−0.707316	−	15.0419i	−0.0245365	−	0.521797i
$832$	−46.5077	−	6.80543i	−1.61236	−	0.235936i
$833$	4.38367	−	17.7542i	0.151885	−	0.615147i
$834$	31.3444	+	28.5290i	1.08537	+	0.987879i
$835$	−20.8961			−0.723139
$836$	0.157499	−	0.272797i	0.00544723	−	0.00943487i
$837$	28.4310	+	21.3647i	0.982719	+	0.738470i
$838$	−17.7182	+	66.1251i	−0.612064	+	2.28425i
$839$	−4.36682	−	16.2972i	−0.150759	−	0.562642i	−0.999431	−	0.0337222i	$-0.989264\pi$
$839$	−4.36682	−	16.2972i	−0.150759	−	0.562642i	0.848672	−	0.528920i	$-0.177403\pi$
$840$	−19.1584	−	22.2285i	−0.661028	−	0.766957i
$841$	−9.74834	−	16.8846i	−0.336149	−	0.582228i
$842$	15.0869	+	8.71045i	0.519930	+	0.300182i
$843$	8.18263	−	37.5045i	0.281825	−	1.29172i
$844$	−57.1347	+	32.9867i	−1.96666	+	1.13545i
$845$	−32.0076	−	0.921961i	−1.10110	−	0.0317164i
$846$	5.26897	−	3.74231i	0.181151	−	0.128663i
$847$	10.8281	−	26.8886i	0.372057	−	0.923903i
$848$	1.70723	−	2.95701i	0.0586265	−	0.101544i
$849$	−1.78914	+	3.46524i	−0.0614030	+	0.118927i
$850$	−4.47171	−	4.47171i	−0.153378	−	0.153378i
$851$	−25.5183	+	25.5183i	−0.874754	+	0.874754i
$852$	19.4625	−	6.20838i	0.666775	−	0.212695i
$853$	−0.467603	−	1.74512i	−0.0160104	−	0.0597516i	0.957458	−	0.288571i	$-0.0931801\pi$
$853$	−0.467603	−	1.74512i	−0.0160104	−	0.0597516i	−0.973469	+	0.228819i	$0.926513\pi$
$854$	42.3562	−	56.3420i	1.44940	−	1.92798i
$855$	−2.87690	+	2.04333i	−0.0983877	+	0.0698804i
$856$	−1.66234	+	6.20395i	−0.0568177	+	0.212047i
$857$	4.03984	+	6.99721i	0.137998	+	0.239020i	0.926739	−	0.375706i	$-0.122600\pi$
$857$	4.03984	+	6.99721i	0.137998	+	0.239020i	−0.788741	+	0.614726i	$0.789266\pi$
$858$	−0.291544	+	2.95601i	−0.00995315	+	0.100917i
$859$	21.3097	+	12.3032i	0.727078	+	0.419778i	0.817352	−	0.576138i	$-0.195441\pi$
$859$	21.3097	+	12.3032i	0.727078	+	0.419778i	−0.0902745	+	0.995917i	$0.528774\pi$
$860$	−15.0453	+	56.1498i	−0.513040	+	1.91469i
$861$	10.3763	−	15.2440i	0.353625	−	0.519514i
$862$	−71.2014	−	41.1081i	−2.42513	−	1.40015i
$863$	−18.7188	−	5.01568i	−0.637195	−	0.170736i	−0.0742623	−	0.997239i	$-0.523660\pi$
$863$	−18.7188	−	5.01568i	−0.637195	−	0.170736i	−0.562932	+	0.826503i	$0.690327\pi$
$864$	19.0242	−	25.3165i	0.647218	−	0.861284i
$865$	43.1985	−	11.5750i	1.46879	−	0.393562i
$866$	−52.0943	+	52.0943i	−1.77024	+	1.77024i
$867$	17.6040	−	0.827796i	0.597864	−	0.0281134i
$868$	45.5365	+	34.2329i	1.54561	+	1.16194i
$869$	−0.191684	+	0.715373i	−0.00650242	+	0.0242674i
$870$	67.3231	−	3.16574i	2.28247	−	0.107329i
$871$	10.4864	+	14.0814i	0.355317	+	0.477128i
$872$	−4.49125	+	7.77907i	−0.152093	+	0.263433i
$873$	−36.4389	−	30.1615i	−1.23327	−	1.02081i
$874$			3.59388i			0.121565i
$875$	20.4868	+	15.4014i	0.692582	+	0.520661i
$876$	0.864784	−	3.96368i	0.0292183	−	0.133920i
$877$	4.70385	+	17.5550i	0.158838	+	0.592791i	0.998746	+	0.0500626i	$0.0159421\pi$
$877$	4.70385	+	17.5550i	0.158838	+	0.592791i	−0.839908	+	0.542729i	$0.817391\pi$
$878$	54.9097	−	54.9097i	1.85311	−	1.85311i
$879$	−5.21202	+	5.72638i	−0.175797	+	0.193146i
$880$			0.203724i			0.00686754i
$881$	−16.2485			−0.547425			−0.273712	−	0.961812i	$-0.588252\pi$
$881$	−16.2485			−0.547425			−0.273712	+	0.961812i	$0.588252\pi$
$882$	−47.3307	+	5.40525i	−1.59371	+	0.182004i
$883$		−	21.6065i		−	0.727117i	−0.931571	−	0.363558i	$-0.881562\pi$
$883$		−	21.6065i		−	0.727117i	0.931571	−	0.363558i	$-0.118438\pi$
$884$	18.3767	−	23.2481i	0.618075	−	0.781918i
$885$	−5.25817	−	8.19289i	−0.176752	−	0.275401i
$886$	60.9037	−	60.9037i	2.04610	−	2.04610i
$887$	41.9719	+	24.2325i	1.40928	+	0.813648i	0.995319	−	0.0966463i	$-0.0308116\pi$
$887$	41.9719	+	24.2325i	1.40928	+	0.813648i	0.413961	+	0.910294i	$0.364145\pi$
$888$	2.30078	+	48.9288i	0.0772092	+	1.64194i
$889$	−32.0330	+	4.53917i	−1.07435	+	0.152239i
$890$	−20.5883	+	20.5883i	−0.690121	+	0.690121i
$891$	−1.56016	−	1.06152i	−0.0522674	−	0.0355623i
$892$	13.3377	+	49.7770i	0.446580	+	1.66666i
$893$	−0.226742	−	0.392728i	−0.00758762	−	0.0131421i
$894$	63.3199	−	40.6386i	2.11774	−	1.35916i
$895$	3.72516	+	0.998153i	0.124518	+	0.0333646i
$896$	27.6375	−	36.7633i	0.923303	−	1.22817i
$897$	−8.54807	−	18.8728i	−0.285412	−	0.630143i
$898$	−6.92598			−0.231123
$899$	−46.0388	+	12.3360i	−1.53548	+	0.411430i
$900$	−4.19496	+	9.15604i	−0.139832	+	0.305201i
$901$	11.3066	+	19.5836i	0.376678	+	0.652425i
$902$	1.84876	−	0.495374i	0.0615570	−	0.0164942i
$903$	22.4428	+	26.0393i	0.746851	+	0.866533i
$904$	−6.68193	+	24.9373i	−0.222238	+	0.829402i
$905$	18.1751	−	4.87000i	0.604161	−	0.161884i
$906$	71.2345	−	3.34967i	2.36661	−	0.111285i
$907$	25.9967	−	15.0092i	0.863207	−	0.498373i	−0.00187818	−	0.999998i	$-0.500598\pi$
$907$	25.9967	−	15.0092i	0.863207	−	0.498373i	0.865085	+	0.501626i	$0.167265\pi$
$908$	52.7761	+	14.1413i	1.75144	+	0.469296i
$909$	4.05160	−	8.84314i	0.134383	−	0.293309i
$910$	26.8602	−	46.0401i	0.890407	−	1.52621i
$911$	−23.6741	+	41.0047i	−0.784356	+	1.35854i	0.145027	+	0.989428i	$0.453673\pi$
$911$	−23.6741	+	41.0047i	−0.784356	+	1.35854i	−0.929383	+	0.369117i	$0.879660\pi$
$912$	−0.241290	−	0.219617i	−0.00798991	−	0.00727224i
$913$			3.19386i			0.105701i
$914$		−	27.7287i		−	0.917183i
$915$	−48.9528	−	10.6804i	−1.61833	−	0.353083i
$916$	56.5971	−	15.1652i	1.87002	−	0.501071i
$917$	−11.0974	+	27.5574i	−0.366469	+	0.910026i
$918$	12.0703	+	28.3303i	0.398379	+	0.935040i
$919$	−10.3721	−	17.9650i	−0.342144	−	0.592610i	0.642687	−	0.766129i	$-0.277820\pi$
$919$	−10.3721	−	17.9650i	−0.342144	−	0.592610i	−0.984831	+	0.173519i	$0.944486\pi$
$920$	10.6224	+	18.3986i	0.350211	+	0.606583i
$921$	6.39512	+	20.0479i	0.210726	+	0.660602i
$922$	−39.5339	+	68.4748i	−1.30198	+	2.25510i
$923$	8.07350	+	10.8413i	0.265742	+	0.356845i
$924$	−2.49887	−	1.70094i	−0.0822068	−	0.0559568i
$925$	3.00426	+	11.2120i	0.0987793	+	0.368649i
$926$	32.9703	+	57.1063i	1.08347	+	1.87663i
$927$	−18.4340	+	1.73749i	−0.605452	+	0.0570666i
$928$	10.9847	+	40.9954i	0.360590	+	1.34574i
$929$	30.4104	+	30.4104i	0.997732	+	0.997732i	0.999997	−	0.00226516i	$-0.000721023\pi$
$929$	30.4104	+	30.4104i	0.997732	+	0.997732i	−0.00226516	+	0.999997i	$0.500721\pi$
$930$	14.1196	−	64.7163i	0.463000	−	2.12213i
$931$	0.0659552	+	3.34208i	0.00216159	+	0.109532i
$932$	34.3652	+	59.5222i	1.12567	+	1.94971i
$933$	−1.64555	+	3.18714i	−0.0538729	+	0.104342i
$934$	51.7485	+	13.8660i	1.69326	+	0.453709i
$935$	−1.16846	−	0.674611i	−0.0382127	−	0.0220621i
$936$	−26.7538	−	8.66213i	−0.874477	−	0.283131i
$937$			7.89287i			0.257849i	0.991654	+	0.128924i	$0.0411525\pi$
$937$			7.89287i			0.257849i	−0.991654	+	0.128924i	$0.958848\pi$
$938$	−28.9366	+	4.10041i	−0.944814	+	0.133883i
$939$	39.1597	+	20.2185i	1.27793	+	0.659807i
$940$	−6.37300	−	3.67945i	−0.207864	−	0.120011i
$941$	−3.42798	−	3.42798i	−0.111749	−	0.111749i	0.649021	−	0.760770i	$-0.275179\pi$
$941$	−3.42798	−	3.42798i	−0.111749	−	0.111749i	−0.760770	+	0.649021i	$0.775179\pi$
$942$	45.4362	−	14.4937i	1.48039	−	0.472232i
$943$	−9.43993	+	9.43993i	−0.307406	+	0.307406i
$944$	0.636484	−	0.636484i	0.0207158	−	0.0207158i
$945$	17.5124	+	28.9826i	0.569680	+	0.942805i
$946$			3.56800i			0.116006i
$947$	−22.3046	−	22.3046i	−0.724802	−	0.724802i	0.244777	−	0.969579i	$-0.421285\pi$
$947$	−22.3046	−	22.3046i	−0.724802	−	0.724802i	−0.969579	+	0.244777i	$0.921285\pi$
$948$	−17.1025	−	8.83020i	−0.555464	−	0.286792i
$949$	2.66617	−	0.312026i	0.0865476	−	0.0101288i
$950$	1.00108	+	0.577974i	0.0324793	+	0.0187520i
$951$	13.4862	+	42.2776i	0.437320	+	1.37094i
$952$	7.04021	+	16.5333i	0.228174	+	0.535847i
$953$		−	24.7311i		−	0.801119i	−0.916271	−	0.400560i	$-0.868816\pi$
$953$		−	24.7311i		−	0.801119i	0.916271	−	0.400560i	$-0.131184\pi$
$954$	37.5610	−	45.3785i	1.21608	−	1.46918i
$955$	1.50797	−	0.404060i	0.0487969	−	0.0130751i
$956$	24.1719	−	90.2109i	0.781776	−	2.91763i
$957$	2.40942	−	0.768586i	0.0778856	−	0.0248449i
$958$	−10.9436	+	6.31831i	−0.353573	+	0.204135i
$959$	36.6821	+	4.46157i	1.18453	+	0.144072i
$960$	−54.3383	−	11.8554i	−1.75376	−	0.382631i
$961$			15.8433i			0.511075i
$962$	−82.6807	+	32.8610i	−2.66573	+	1.05948i
$963$	3.08708	−	6.73795i	0.0994798	−	0.217127i
$964$	−4.51349	+	16.8446i	−0.145370	+	0.542527i
$965$	44.4837	+	25.6827i	1.43198	+	0.826754i
$966$	34.3936	+	2.55134i	1.10660	+	0.0820882i
$967$	−14.3067	−	3.83347i	−0.460072	−	0.123276i	0.0213361	−	0.999772i	$-0.493208\pi$
$967$	−14.3067	−	3.83347i	−0.460072	−	0.123276i	−0.481409	+	0.876496i	$0.659875\pi$
$968$	7.37208	+	27.5130i	0.236948	+	0.884301i
$969$	2.05862	−	0.656681i	0.0661323	−	0.0210956i
$970$	−22.8026	+	85.1005i	−0.732148	+	2.73241i
$971$	13.8617	−	8.00306i	0.444843	−	0.256830i	−0.260807	−	0.965391i	$-0.583988\pi$
$971$	13.8617	−	8.00306i	0.444843	−	0.256830i	0.705650	+	0.708561i	$0.250655\pi$
$972$	35.5967	−	33.7342i	1.14176	−	1.08203i
$973$	−17.5964	−	22.4696i	−0.564116	−	0.720342i
$974$	−37.2106	−	21.4836i	−1.19230	−	0.688378i
$975$	−6.63175	−	0.654072i	−0.212386	−	0.0209471i
$976$		−	4.63275i		−	0.148291i
$977$	0.875946	−	0.875946i	0.0280240	−	0.0280240i	−0.692956	−	0.720980i	$-0.743692\pi$
$977$	0.875946	−	0.875946i	0.0280240	−	0.0280240i	0.720980	+	0.692956i	$0.243692\pi$
$978$	−43.5080	+	2.04588i	−1.39123	+	0.0654201i
$979$	−0.546283	+	0.946189i	−0.0174593	+	0.0302403i
$980$	28.0437	+	46.4326i	0.895824	+	1.48323i
$981$	6.60919	−	7.98474i	0.211015	−	0.254933i
$982$	5.92787	−	22.1231i	0.189166	−	0.705976i
$983$	22.5989	+	6.05536i	0.720794	+	0.193136i	0.600526	−	0.799605i	$-0.294958\pi$
$983$	22.5989	+	6.05536i	0.720794	+	0.193136i	0.120268	+	0.992741i	$0.461625\pi$
$984$	0.851125	+	18.1002i	0.0271329	+	0.577012i
$985$	−16.9890	+	29.4257i	−0.541313	+	0.937582i
$986$	−39.8649	−	10.6818i	−1.26956	−	0.340177i
$987$	−3.91940	+	1.89113i	−0.124756	+	0.0601953i
$988$	−2.14475	+	4.97408i	−0.0682335	+	0.158247i
$989$	−12.4435	−	21.5527i	−0.395679	−	0.685337i
$990$	−0.587080	+	3.46532i	−0.0186586	+	0.110135i
$991$	18.5363	−	32.1058i	0.588825	−	1.01987i	−0.405562	−	0.914068i	$-0.632924\pi$
$991$	18.5363	−	32.1058i	0.588825	−	1.01987i	0.994387	−	0.105807i	$-0.0337426\pi$
$992$	41.7118			1.32435
$993$	−8.97580	−	28.1381i	−0.284839	−	0.892934i
$994$	−22.2784	+	3.15692i	−0.706628	+	0.100131i
$995$	8.02127	−	29.9358i	0.254291	−	0.949028i
$996$	−81.0969	−	17.6935i	−2.56965	−	0.560639i
$997$	−43.8521	+	25.3180i	−1.38881	+	0.801831i	−0.993181	−	0.116579i	$-0.962807\pi$
$997$	−43.8521	+	25.3180i	−1.38881	+	0.801831i	−0.395630	+	0.918410i	$0.629474\pi$
$998$	28.4928	+	16.4503i	0.901924	+	0.520726i
$999$	6.81328	−	56.1108i	0.215563	−	1.77527i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	819.2.ep.a.304.13	yes	432
7.5	odd	6		819.2.fk.a.187.96	yes	432
9.4	even	3		819.2.fk.a.31.13	yes	432
13.8	odd	4	inner	819.2.ep.a.619.13	yes	432
63.40	odd	6	inner	819.2.ep.a.733.13	yes	432
91.47	even	12		819.2.fk.a.502.13	yes	432
117.112	odd	12		819.2.fk.a.346.96	yes	432
819.229	even	12	inner	819.2.ep.a.229.13	✓	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
819.2.ep.a.229.13	✓	432	819.229	even	12	inner
819.2.ep.a.304.13	yes	432	1.1	even	1	trivial
819.2.ep.a.619.13	yes	432	13.8	odd	4	inner
819.2.ep.a.733.13	yes	432	63.40	odd	6	inner
819.2.fk.a.31.13	yes	432	9.4	even	3
819.2.fk.a.187.96	yes	432	7.5	odd	6
819.2.fk.a.346.96	yes	432	117.112	odd	12
819.2.fk.a.502.13	yes	432	91.47	even	12

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:	\( N \)	\(=\)	\( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	819.ep (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.60407 + 1.60407i) q^{2} +(0.794613 - 1.53902i) q^{3} -3.14605i q^{4} +(2.37922 - 0.637509i) q^{5} +(1.19408 + 3.74330i) q^{6} +(-0.371203 - 2.61958i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.73718 - 2.44585i) q^{9} +O(q^{10})\)	\(q+(-1.60407 + 1.60407i) q^{2} +(0.794613 - 1.53902i) q^{3} -3.14605i q^{4} +(2.37922 - 0.637509i) q^{5} +(1.19408 + 3.74330i) q^{6} +(-0.371203 - 2.61958i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.73718 - 2.44585i) q^{9} +(-2.79381 + 4.83902i) q^{10} +(-0.0542670 + 0.202527i) q^{11} +(-4.84184 - 2.49989i) q^{12} +(0.522038 - 3.56756i) q^{13} +(4.79741 + 3.60655i) q^{14} +(0.909414 - 4.16824i) q^{15} +0.394470 q^{16} +(-1.30624 + 2.26248i) q^{17} +(6.70986 + 1.13676i) q^{18} +(0.123595 - 0.461262i) q^{19} +(-2.00563 - 7.48513i) q^{20} +(-4.32656 - 1.51026i) q^{21} +(-0.237819 - 0.411914i) q^{22} +(2.87312 + 1.65880i) q^{23} +(4.29001 - 1.36848i) q^{24} +(0.924120 - 0.533541i) q^{25} +(4.88521 + 6.55998i) q^{26} +(-5.14461 + 0.730055i) q^{27} +(-8.24134 + 1.16782i) q^{28} +(3.48198 - 6.03096i) q^{29} +(5.22737 + 8.14489i) q^{30} +(-4.83959 - 4.83959i) q^{31} +(-4.30943 + 4.30943i) q^{32} +(0.268573 + 0.244449i) q^{33} +(-1.53386 - 5.72446i) q^{34} +(-2.55318 - 5.99590i) q^{35} +(-7.69478 + 5.46526i) q^{36} +(-2.81539 + 10.5072i) q^{37} +(0.541640 + 0.938148i) q^{38} +(-5.07574 - 3.63826i) q^{39} +(5.54576 + 3.20185i) q^{40} +(-1.04149 + 3.88691i) q^{41} +(9.36264 - 4.51752i) q^{42} +(-6.49650 - 3.75075i) q^{43} +(0.637160 + 0.170727i) q^{44} +(-5.69238 - 4.71174i) q^{45} +(-7.26949 + 1.94785i) q^{46} +(0.671495 - 0.671495i) q^{47} +(0.313451 - 0.607098i) q^{48} +(-6.72442 + 1.94479i) q^{49} +(-0.626514 + 2.33818i) q^{50} +(2.44405 + 3.80813i) q^{51} +(-11.2237 - 1.64236i) q^{52} +(4.32791 - 7.49617i) q^{53} +(7.08124 - 9.42335i) q^{54} +0.516451i q^{55} +(4.13328 - 5.49807i) q^{56} +(-0.611682 - 0.556739i) q^{57} +(4.08874 + 15.2594i) q^{58} +(1.61352 - 1.61352i) q^{59} +(-13.1135 - 2.86106i) q^{60} -11.7442i q^{61} +15.5260 q^{62} +(-5.76227 + 5.45860i) q^{63} -13.0363i q^{64} +(-1.03231 - 8.82079i) q^{65} +(-0.822920 + 0.0386962i) q^{66} +(-3.44321 + 3.44321i) q^{67} +(7.11787 + 4.10950i) q^{68} +(4.83594 - 3.10370i) q^{69} +(13.7133 + 5.52236i) q^{70} +(-2.65094 + 2.65094i) q^{71} +(1.30278 - 7.68984i) q^{72} +(0.192693 + 0.719141i) q^{73} +(-12.3381 - 21.3703i) q^{74} +(-0.0868141 - 1.84620i) q^{75} +(-1.45115 - 0.388835i) q^{76} +(0.550680 + 0.0669782i) q^{77} +(13.9778 - 2.30581i) q^{78} +3.53223 q^{79} +(0.938528 - 0.251478i) q^{80} +(-2.96440 + 8.49778i) q^{81} +(-4.56423 - 7.90548i) q^{82} +(14.7136 - 3.94250i) q^{83} +(-4.75137 + 13.6116i) q^{84} +(-1.66548 + 6.21566i) q^{85} +(16.4373 - 4.40435i) q^{86} +(-6.51496 - 10.1511i) q^{87} +(-0.472075 + 0.272552i) q^{88} +(5.03329 + 1.34867i) q^{89} +(16.6889 - 1.57301i) q^{90} +(-9.53929 - 0.0432337i) q^{91} +(5.21866 - 9.03898i) q^{92} +(-11.2938 + 3.60264i) q^{93} +2.15424i q^{94} -1.17623i q^{95} +(3.20798 + 10.0566i) q^{96} +(15.2302 - 4.08091i) q^{97} +(7.66683 - 13.9060i) q^{98} +(0.589623 - 0.219097i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 4 q^{2} - 12 q^{3} - 6 q^{5} - 12 q^{6} - 8 q^{8} - 4 q^{9}+O(q^{10}) \) 432 * q - 4 * q^2 - 12 * q^3 - 6 * q^5 - 12 * q^6 - 8 * q^8 - 4 * q^9	\( 432 q - 4 q^{2} - 12 q^{3} - 6 q^{5} - 12 q^{6} - 8 q^{8} - 4 q^{9} + 6 q^{11} - 4 q^{14} - 14 q^{15} - 392 q^{16} - 10 q^{18} - 12 q^{19} + 60 q^{20} - 18 q^{21} - 8 q^{22} - 12 q^{26} + 36 q^{27} + 4 q^{28} - 24 q^{29} - 20 q^{32} - 6 q^{33} + 12 q^{34} - 60 q^{35} - 2 q^{37} - 28 q^{39} - 12 q^{40} + 68 q^{42} + 32 q^{44} - 6 q^{45} + 4 q^{46} + 12 q^{48} + 22 q^{50} + 66 q^{52} + 8 q^{53} + 18 q^{54} - 44 q^{57} - 6 q^{58} + 50 q^{60} + 50 q^{63} - 32 q^{65} - 36 q^{66} - 32 q^{67} - 12 q^{68} + 2 q^{70} + 48 q^{71} + 22 q^{72} - 12 q^{73} - 52 q^{74} + 48 q^{76} + 2 q^{78} - 56 q^{79} - 6 q^{80} + 4 q^{81} - 84 q^{83} - 68 q^{84} - 6 q^{85} - 42 q^{86} - 108 q^{87} + 18 q^{89} + 52 q^{92} + 90 q^{93} - 6 q^{96} - 6 q^{97} - 112 q^{98} - 50 q^{99}+O(q^{100}) \) 432 * q - 4 * q^2 - 12 * q^3 - 6 * q^5 - 12 * q^6 - 8 * q^8 - 4 * q^9 + 6 * q^11 - 4 * q^14 - 14 * q^15 - 392 * q^16 - 10 * q^18 - 12 * q^19 + 60 * q^20 - 18 * q^21 - 8 * q^22 - 12 * q^26 + 36 * q^27 + 4 * q^28 - 24 * q^29 - 20 * q^32 - 6 * q^33 + 12 * q^34 - 60 * q^35 - 2 * q^37 - 28 * q^39 - 12 * q^40 + 68 * q^42 + 32 * q^44 - 6 * q^45 + 4 * q^46 + 12 * q^48 + 22 * q^50 + 66 * q^52 + 8 * q^53 + 18 * q^54 - 44 * q^57 - 6 * q^58 + 50 * q^60 + 50 * q^63 - 32 * q^65 - 36 * q^66 - 32 * q^67 - 12 * q^68 + 2 * q^70 + 48 * q^71 + 22 * q^72 - 12 * q^73 - 52 * q^74 + 48 * q^76 + 2 * q^78 - 56 * q^79 - 6 * q^80 + 4 * q^81 - 84 * q^83 - 68 * q^84 - 6 * q^85 - 42 * q^86 - 108 * q^87 + 18 * q^89 + 52 * q^92 + 90 * q^93 - 6 * q^96 - 6 * q^97 - 112 * q^98 - 50 * q^99

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