LMFDB - Embedded newform 273.2.cd.e.44.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 9]))

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

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

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			44.20
Character	$\chi$	$=$	273.44
Dual form			273.2.cd.e.242.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.55291 - 0.416100i) q^{2} +(1.23724 - 1.21212i) q^{3} +(0.506326 - 0.292327i) q^{4} +(-0.0914679 + 0.0245087i) q^{5} +(1.41696 - 2.39712i) q^{6} +(2.58235 + 0.575745i) q^{7} +(-1.60897 + 1.60897i) q^{8} +(0.0615393 - 2.99937i) q^{9} +O(q^{10})$	\(q+(1.55291 - 0.416100i) q^{2} +(1.23724 - 1.21212i) q^{3} +(0.506326 - 0.292327i) q^{4} +(-0.0914679 + 0.0245087i) q^{5} +(1.41696 - 2.39712i) q^{6} +(2.58235 + 0.575745i) q^{7} +(-1.60897 + 1.60897i) q^{8} +(0.0615393 - 2.99937i) q^{9} +(-0.131843 + 0.0761195i) q^{10} +(1.27087 + 0.340528i) q^{11} +(0.272113 - 0.975407i) q^{12} +(-3.58226 - 0.409129i) q^{13} +(4.24971 - 0.180437i) q^{14} +(-0.0834605 + 0.141193i) q^{15} +(-2.41374 + 4.18073i) q^{16} +(-3.46014 - 5.99314i) q^{17} +(-1.15247 - 4.68334i) q^{18} +(1.43596 + 5.35909i) q^{19} +(-0.0391480 + 0.0391480i) q^{20} +(3.89286 - 2.41777i) q^{21} +2.11523 q^{22} +(0.322094 - 0.557883i) q^{23} +(-0.0404248 + 3.94095i) q^{24} +(-4.32236 + 2.49552i) q^{25} +(-5.73316 + 0.855241i) q^{26} +(-3.55945 - 3.78554i) q^{27} +(1.47582 - 0.463376i) q^{28} +4.67163i q^{29} +(-0.0708558 + 0.253987i) q^{30} +(4.99711 + 1.33897i) q^{31} +(-0.830867 + 3.10084i) q^{32} +(1.98513 - 1.11913i) q^{33} +(-7.86701 - 7.86701i) q^{34} +(-0.250313 + 0.0106279i) q^{35} +(-0.845639 - 1.53665i) q^{36} +(-3.09523 + 0.829364i) q^{37} +(4.45983 + 7.72465i) q^{38} +(-4.92804 + 3.83593i) q^{39} +(0.107735 - 0.186603i) q^{40} +(2.51881 + 2.51881i) q^{41} +(5.03921 - 5.37439i) q^{42} +9.36807i q^{43} +(0.743019 - 0.199091i) q^{44} +(0.0678819 + 0.275854i) q^{45} +(0.268046 - 1.00036i) q^{46} +(-3.37931 - 12.6118i) q^{47} +(2.08115 + 8.09832i) q^{48} +(6.33704 + 2.97355i) q^{49} +(-5.67384 + 5.67384i) q^{50} +(-11.5454 - 3.22087i) q^{51} +(-1.93339 + 0.840041i) q^{52} +(1.44273 - 0.832960i) q^{53} +(-7.10265 - 4.39750i) q^{54} -0.124589 q^{55} +(-5.08128 + 3.22857i) q^{56} +(8.27248 + 4.88993i) q^{57} +(1.94386 + 7.25459i) q^{58} +(4.59432 + 1.23105i) q^{59} +(-0.000983578 + 0.0958875i) q^{60} +(7.28610 - 12.6199i) q^{61} +8.31719 q^{62} +(1.88579 - 7.70998i) q^{63} -4.49394i q^{64} +(0.337689 - 0.0503746i) q^{65} +(2.61705 - 2.56391i) q^{66} +(-0.637963 - 0.170942i) q^{67} +(-3.50392 - 2.02299i) q^{68} +(-0.277712 - 1.08065i) q^{69} +(-0.384290 + 0.120659i) q^{70} +(-2.60306 - 2.60306i) q^{71} +(4.72689 + 4.92492i) q^{72} +(-2.06778 + 7.71706i) q^{73} +(-4.46150 + 2.57585i) q^{74} +(-2.32295 + 8.32677i) q^{75} +(2.29367 + 2.29367i) q^{76} +(3.08576 + 1.61106i) q^{77} +(-6.05665 + 8.00740i) q^{78} +(1.37794 - 2.38667i) q^{79} +(0.118316 - 0.441560i) q^{80} +(-8.99243 - 0.369158i) q^{81} +(4.95954 + 2.86339i) q^{82} +(-8.71510 - 8.71510i) q^{83} +(1.26428 - 2.36217i) q^{84} +(0.463376 + 0.463376i) q^{85} +(3.89805 + 14.5477i) q^{86} +(5.66256 + 5.77994i) q^{87} +(-2.59269 + 1.49689i) q^{88} +(-3.85105 - 14.3723i) q^{89} +(0.220197 + 0.400130i) q^{90} +(-9.01510 - 3.11898i) q^{91} -0.376627i q^{92} +(7.80563 - 4.40046i) q^{93} +(-10.4955 - 18.1788i) q^{94} +(-0.262689 - 0.454991i) q^{95} +(2.73060 + 4.84360i) q^{96} +(-0.0645525 + 0.0645525i) q^{97} +(11.0781 + 1.98080i) q^{98} +(1.09958 - 3.79085i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	1.55291	−	0.416100i	1.09807	−	0.294227i	0.336092	−	0.941829i	$-0.390895\pi$
$2$	1.55291	−	0.416100i	1.09807	−	0.294227i	0.761979	+	0.647602i	$0.224228\pi$
$3$	1.23724	−	1.21212i	0.714322	−	0.699817i
$3$	1.23724	−	1.21212i	0.714322	−	0.699817i
$4$	0.506326	−	0.292327i	0.253163	−	0.146164i
$5$	−0.0914679	+	0.0245087i	−0.0409057	+	0.0109606i	−0.279214	−	0.960229i	$-0.590074\pi$
$5$	−0.0914679	+	0.0245087i	−0.0409057	+	0.0109606i	0.238308	+	0.971190i	$0.423407\pi$
$6$	1.41696	−	2.39712i	0.578471	−	0.978621i
$7$	2.58235	+	0.575745i	0.976036	+	0.217611i
$7$	2.58235	+	0.575745i	0.976036	+	0.217611i
$8$	−1.60897	+	1.60897i	−0.568858	+	0.568858i
$9$	0.0615393	−	2.99937i	0.0205131	−	0.999790i
$10$	−0.131843	+	0.0761195i	−0.0416924	+	0.0240711i
$11$	1.27087	+	0.340528i	0.383181	+	0.102673i	0.445267	−	0.895398i	$-0.353109\pi$
$11$	1.27087	+	0.340528i	0.383181	+	0.102673i	−0.0620862	+	0.998071i	$0.519775\pi$
$12$	0.272113	−	0.975407i	0.0785522	−	0.281576i
$13$	−3.58226	−	0.409129i	−0.993541	−	0.113472i
$13$	−3.58226	−	0.409129i	−0.993541	−	0.113472i
$14$	4.24971	−	0.180437i	1.13578	−	0.0482238i
$15$	−0.0834605	+	0.141193i	−0.0215494	+	0.0364559i
$16$	−2.41374	+	4.18073i	−0.603436	+	1.04518i
$17$	−3.46014	−	5.99314i	−0.839207	−	1.45355i	−0.890559	−	0.454869i	$-0.849686\pi$
$17$	−3.46014	−	5.99314i	−0.839207	−	1.45355i	0.0513515	−	0.998681i	$-0.483647\pi$
$18$	−1.15247	−	4.68334i	−0.271640	−	1.10387i
$19$	1.43596	+	5.35909i	0.329432	+	1.22946i	0.909780	+	0.415090i	$0.136250\pi$
$19$	1.43596	+	5.35909i	0.329432	+	1.22946i	−0.580348	+	0.814369i	$0.697083\pi$
$20$	−0.0391480	+	0.0391480i	−0.00875376	+	0.00875376i
$21$	3.89286	−	2.41777i	0.849492	−	0.527602i
$22$	2.11523			0.450969
$23$	0.322094	−	0.557883i	0.0671612	−	0.116327i	−0.830489	−	0.557034i	$-0.811939\pi$
$23$	0.322094	−	0.557883i	0.0671612	−	0.116327i	0.897651	+	0.440708i	$0.145272\pi$
$24$	−0.0404248	+	3.94095i	−0.00825168	+	0.804444i
$25$	−4.32236	+	2.49552i	−0.864472	+	0.499103i
$26$	−5.73316	+	0.855241i	−1.12436	+	0.167726i
$27$	−3.55945	−	3.78554i	−0.685017	−	0.728528i
$28$	1.47582	−	0.463376i	0.278903	−	0.0875699i
$29$			4.67163i			0.867499i	0.901033	+	0.433750i	$0.142810\pi$
$29$			4.67163i			0.867499i	−0.901033	+	0.433750i	$0.857190\pi$
$30$	−0.0708558	+	0.253987i	−0.0129364	+	0.0463716i
$31$	4.99711	+	1.33897i	0.897508	+	0.240486i	0.677946	−	0.735112i	$-0.262870\pi$
$31$	4.99711	+	1.33897i	0.897508	+	0.240486i	0.219562	+	0.975599i	$0.429537\pi$
$32$	−0.830867	+	3.10084i	−0.146878	+	0.548156i
$33$	1.98513	−	1.11913i	0.345567	−	0.194815i
$34$	−7.86701	−	7.86701i	−1.34918	−	1.34918i
$35$	−0.250313	+	0.0106279i	−0.0423106	+	0.00179645i
$36$	−0.845639	−	1.53665i	−0.140940	−	0.256108i
$37$	−3.09523	+	0.829364i	−0.508852	+	0.136347i	−0.504105	−	0.863642i	$-0.668178\pi$
$37$	−3.09523	+	0.829364i	−0.508852	+	0.136347i	−0.00474698	+	0.999989i	$0.501511\pi$
$38$	4.45983	+	7.72465i	0.723480	+	1.25310i
$39$	−4.92804	+	3.83593i	−0.789118	+	0.614241i
$40$	0.107735	−	0.186603i	0.0170345	−	0.0295046i
$41$	2.51881	+	2.51881i	0.393372	+	0.393372i	0.875887	−	0.482516i	$-0.160277\pi$
$41$	2.51881	+	2.51881i	0.393372	+	0.393372i	−0.482516	+	0.875887i	$0.660277\pi$
$42$	5.03921	−	5.37439i	0.777567	−	0.829287i
$43$			9.36807i			1.42862i	0.699831	+	0.714309i	$0.253259\pi$
$43$			9.36807i			1.42862i	−0.699831	+	0.714309i	$0.746741\pi$
$44$	0.743019	−	0.199091i	0.112014	−	0.0300142i
$45$	0.0678819	+	0.275854i	0.0101192	+	0.0411219i
$46$	0.268046	−	1.00036i	0.0395213	−	0.147495i
$47$	−3.37931	−	12.6118i	−0.492924	−	1.83962i	−0.541362	−	0.840790i	$-0.682091\pi$
$47$	−3.37931	−	12.6118i	−0.492924	−	1.83962i	0.0484380	−	0.998826i	$-0.484576\pi$
$48$	2.08115	+	8.09832i	0.300388	+	1.16889i
$49$	6.33704	+	2.97355i	0.905291	+	0.424792i
$50$	−5.67384	+	5.67384i	−0.802401	+	0.802401i
$51$	−11.5454	−	3.22087i	−1.61668	−	0.451012i
$52$	−1.93339	+	0.840041i	−0.268113	+	0.116493i
$53$	1.44273	−	0.832960i	0.198174	−	0.114416i	−0.397629	−	0.917546i	$-0.630167\pi$
$53$	1.44273	−	0.832960i	0.198174	−	0.114416i	0.595804	+	0.803130i	$0.296834\pi$
$54$	−7.10265	−	4.39750i	−0.966549	−	0.598424i
$55$	−0.124589			−0.0167996
$56$	−5.08128	+	3.22857i	−0.679015	+	0.431436i
$57$	8.27248	+	4.88993i	1.09572	+	0.647688i
$58$	1.94386	+	7.25459i	0.255242	+	0.952575i
$59$	4.59432	+	1.23105i	0.598130	+	0.160268i	0.545166	−	0.838328i	$-0.316467\pi$
$59$	4.59432	+	1.23105i	0.598130	+	0.160268i	0.0529639	+	0.998596i	$0.483133\pi$
$60$	−0.000983578		0.0958875i	−0.000126979		0.0123790i
$61$	7.28610	−	12.6199i	0.932889	−	1.61581i	0.154534	−	0.987987i	$-0.450612\pi$
$61$	7.28610	−	12.6199i	0.932889	−	1.61581i	0.778355	−	0.627824i	$-0.216054\pi$
$62$	8.31719			1.05628
$63$	1.88579	−	7.70998i	0.237587	−	0.971366i
$64$		−	4.49394i		−	0.561743i
$65$	0.337689	−	0.0503746i	0.0418852	−	0.00624820i
$66$	2.61705	−	2.56391i	0.322137	−	0.315596i
$67$	−0.637963	−	0.170942i	−0.0779396	−	0.0208839i	0.219639	−	0.975581i	$-0.429512\pi$
$67$	−0.637963	−	0.170942i	−0.0779396	−	0.0208839i	−0.297578	+	0.954697i	$0.596179\pi$
$68$	−3.50392	−	2.02299i	−0.424912	−	0.245323i
$69$	−0.277712	−	1.08065i	−0.0334325	−	0.130095i
$70$	−0.384290	+	0.120659i	−0.0459314	+	0.0144215i
$71$	−2.60306	−	2.60306i	−0.308927	−	0.308927i	0.535566	−	0.844493i	$-0.320098\pi$
$71$	−2.60306	−	2.60306i	−0.308927	−	0.308927i	−0.844493	+	0.535566i	$0.820098\pi$
$72$	4.72689	+	4.92492i	0.557069	+	0.580407i
$73$	−2.06778	+	7.71706i	−0.242015	+	0.903213i	0.732845	+	0.680396i	$0.238192\pi$
$73$	−2.06778	+	7.71706i	−0.242015	+	0.903213i	−0.974860	+	0.222817i	$0.928475\pi$
$74$	−4.46150	+	2.57585i	−0.518639	+	0.299436i
$75$	−2.32295	+	8.32677i	−0.268231	+	0.961493i
$76$	2.29367	+	2.29367i	0.263102	+	0.263102i
$77$	3.08576	+	1.61106i	0.351656	+	0.183597i
$78$	−6.05665	+	8.00740i	−0.685781	+	0.906660i
$79$	1.37794	−	2.38667i	0.155031	−	0.268521i	−0.778040	−	0.628215i	$-0.783786\pi$
$79$	1.37794	−	2.38667i	0.155031	−	0.268521i	0.933070	+	0.359694i	$0.117119\pi$
$80$	0.118316	−	0.441560i	0.0132281	−	0.0493679i
$81$	−8.99243	−	0.369158i	−0.999158	−	0.0410175i
$82$	4.95954	+	2.86339i	0.547690	+	0.316209i
$83$	−8.71510	−	8.71510i	−0.956607	−	0.956607i	0.0424900	−	0.999097i	$-0.486471\pi$
$83$	−8.71510	−	8.71510i	−0.956607	−	0.956607i	−0.999097	+	0.0424900i	$0.986471\pi$
$84$	1.26428	−	2.36217i	0.137944	−	0.257734i
$85$	0.463376	+	0.463376i	0.0502602	+	0.0502602i
$86$	3.89805	+	14.5477i	0.420338	+	1.56872i
$87$	5.66256	+	5.77994i	0.607090	+	0.619674i
$88$	−2.59269	+	1.49689i	−0.276382	+	0.159569i
$89$	−3.85105	−	14.3723i	−0.408210	−	1.52346i	−0.798058	−	0.602581i	$-0.794139\pi$
$89$	−3.85105	−	14.3723i	−0.408210	−	1.52346i	0.389848	−	0.920879i	$-0.372528\pi$
$90$	0.220197	+	0.400130i	0.0232108	+	0.0421774i
$91$	−9.01510	−	3.11898i	−0.945039	−	0.326958i
$92$		−	0.376627i		−	0.0392661i
$93$	7.80563	−	4.40046i	0.809406	−	0.456306i
$94$	−10.4955	−	18.1788i	−1.08253	−	1.87500i
$95$	−0.262689	−	0.454991i	−0.0269513	−	0.0466810i
$96$	2.73060	+	4.84360i	0.278691	+	0.494348i
$97$	−0.0645525	+	0.0645525i	−0.00655431	+	0.00655431i	−0.710376	−	0.703822i	$-0.751475\pi$
$97$	−0.0645525	+	0.0645525i	−0.00655431	+	0.00655431i	0.703822	+	0.710376i	$0.251475\pi$
$98$	11.0781	+	1.98080i	1.11906	+	0.200091i
$99$	1.09958	−	3.79085i	0.110512	−	0.380994i
$100$	−1.45902	+	2.52709i	−0.145902	+	0.252709i
$101$	2.05612	+	3.56130i	0.204591	+	0.354362i	0.950002	−	0.312243i	$-0.101080\pi$
$101$	2.05612	+	3.56130i	0.204591	+	0.354362i	−0.745411	+	0.666605i	$0.767747\pi$
$102$	−19.2692	−	0.197656i	−1.90793	−	0.0195708i
$103$	−0.585530	−	0.338056i	−0.0576939	−	0.0333096i	0.470876	−	0.882200i	$-0.343938\pi$
$103$	−0.585530	−	0.338056i	−0.0576939	−	0.0333096i	−0.528570	+	0.848890i	$0.677271\pi$
$104$	6.42204	−	5.10549i	0.629733	−	0.500634i
$105$	−0.296815	+	0.316558i	−0.0289662	+	0.0308929i
$106$	1.89383	−	1.89383i	0.183945	−	0.183945i
$107$	−7.92673	−	4.57650i	−0.766306	−	0.442427i	0.0652491	−	0.997869i	$-0.479216\pi$
$107$	−7.92673	−	4.57650i	−0.766306	−	0.442427i	−0.831555	+	0.555442i	$0.812549\pi$
$108$	−2.90886	−	0.876192i	−0.279905	−	0.0843117i
$109$	4.67706	+	1.25321i	0.447981	+	0.120036i	0.475754	−	0.879578i	$-0.342175\pi$
$109$	4.67706	+	1.25321i	0.447981	+	0.120036i	−0.0277736	+	0.999614i	$0.508842\pi$
$110$	−0.193476	+	0.0518417i	−0.0184472	+	0.00494291i
$111$	−2.82426	+	4.77791i	−0.268067	+	0.453499i
$112$	−8.64016	+	9.40639i	−0.816418	+	0.888820i
$113$			12.9955i			1.22251i	0.791433	+	0.611256i	$0.209336\pi$
$113$			12.9955i			1.22251i	−0.791433	+	0.611256i	$0.790664\pi$
$114$	14.8811	+	4.15143i	1.39374	+	0.388817i
$115$	−0.0157882	+	0.0589225i	−0.00147226	+	0.00549455i
$116$	1.36564	+	2.36537i	0.126797	+	0.219619i
$117$	−1.44758	+	10.7194i	−0.133829	+	0.991004i
$118$	7.64679			0.703944
$119$	−5.48476	−	17.4685i	−0.502787	−	1.60134i
$120$	−0.0928903	−	0.361461i	−0.00847968	−	0.0329968i
$121$	−8.02713	−	4.63447i	−0.729739	−	0.421315i
$122$	6.06349	−	22.6292i	0.548962	−	2.04876i
$123$	6.16947	+	0.0632841i	0.556282	+	0.00570613i
$124$	2.92159	−	0.782837i	0.262366	−	0.0703008i
$125$	0.668991	−	0.668991i	0.0598364	−	0.0598364i
$126$	−0.279672	−	12.7575i	−0.0249152	−	1.13653i
$127$		−	7.22848i		−	0.641424i	−0.947177	−	0.320712i	$-0.896078\pi$
$127$		−	7.22848i		−	0.641424i	0.947177	−	0.320712i	$-0.103922\pi$
$128$	−3.53166	−	13.1803i	−0.312158	−	1.16499i
$129$	11.3552	+	11.5906i	0.999770	+	1.02049i
$130$	0.503439	−	0.218739i	0.0441545	−	0.0191847i
$131$	11.8817	+	6.85991i	1.03811	+	0.599353i	0.919297	−	0.393564i	$-0.128758\pi$
$131$	11.8817	+	6.85991i	1.03811	+	0.599353i	0.118813	+	0.992917i	$0.462091\pi$
$132$	0.677973	−	1.14695i	0.0590100	−	0.0998293i
$133$	0.622688	+	14.6658i	0.0539939	+	1.27168i
$134$	−1.06183			−0.0917278
$135$	0.418354	+	0.259018i	0.0360062	+	0.0222927i
$136$	15.2101	+	4.07552i	1.30425	+	0.349473i
$137$	10.7952	+	2.89257i	0.922298	+	0.247129i	0.688567	−	0.725172i	$-0.258240\pi$
$137$	10.7952	+	2.89257i	0.922298	+	0.247129i	0.233731	+	0.972301i	$0.424907\pi$
$138$	−0.880919	−	1.56259i	−0.0749888	−	0.133017i
$139$	5.20892			0.441815			0.220907	−	0.975295i	$-0.429098\pi$
$139$	5.20892			0.441815			0.220907	+	0.975295i	$0.429098\pi$
$140$	−0.123633	+	0.0785544i	−0.0104489	+	0.00663906i
$141$	−19.4680	−	11.5077i	−1.63950	−	0.969123i
$142$	−5.12545	−	2.95918i	−0.430118	−	0.248329i
$143$	−4.41326	−	1.73981i	−0.369056	−	0.145490i
$144$	12.3910	+	7.49699i	1.03258	+	0.624749i
$145$	−0.114496	−	0.427304i	−0.00950835	−	0.0354856i
$146$			12.8443i			1.06300i
$147$	11.4447	−	4.00224i	0.943946	−	0.330099i
$148$	−1.32475	+	1.32475i	−0.108894	+	0.108894i
$149$	14.0685	−	3.76963i	1.15253	−	0.308820i	0.368553	−	0.929607i	$-0.379853\pi$
$149$	14.0685	−	3.76963i	1.15253	−	0.308820i	0.783980	+	0.620786i	$0.213187\pi$
$150$	−0.142553	+	13.8973i	−0.0116394	+	1.13471i
$151$	1.45938	−	5.44647i	0.118762	−	0.443227i	−0.880778	−	0.473529i	$-0.842980\pi$
$151$	1.45938	−	5.44647i	0.118762	−	0.443227i	0.999541	+	0.0303014i	$0.00964672\pi$
$152$	−10.9330	−	6.31220i	−0.886787	−	0.511987i
$153$	−18.1886	+	10.0094i	−1.47046	+	0.809214i
$154$	5.46226	+	1.21783i	0.440162	+	0.0981358i
$155$	−0.489892			−0.0393490
$156$	−1.37385	+	3.38284i	−0.109996	+	0.270844i
$157$	−5.59520	−	9.69117i	−0.446545	−	0.773439i	0.551613	−	0.834100i	$-0.314013\pi$
$157$	−5.59520	−	9.69117i	−0.446545	−	0.773439i	−0.998158	+	0.0606608i	$0.980679\pi$
$158$	1.14672	−	4.27963i	0.0912284	−	0.340469i
$159$	0.775360	−	2.77933i	0.0614901	−	0.220415i
$160$		−	0.303991i		−	0.0240326i
$161$	1.15296	−	1.25520i	0.0908657	−	0.0989239i
$162$	−14.1180	+	3.16848i	−1.10921	+	0.248939i
$163$	12.0187	−	3.22040i	0.941377	−	0.252241i	0.244678	−	0.969604i	$-0.421318\pi$
$163$	12.0187	−	3.22040i	0.941377	−	0.252241i	0.696699	+	0.717363i	$0.254651\pi$
$164$	2.01165	+	0.539021i	0.157084	+	0.0420905i
$165$	−0.154147	+	0.151017i	−0.0120004	+	0.0117567i
$166$	−17.1601	−	9.90738i	−1.33188	−	0.768962i
$167$	−7.87833	+	7.87833i	−0.609643	+	0.609643i	−0.942853	−	0.333210i	$-0.891868\pi$
$167$	−7.87833	+	7.87833i	−0.609643	+	0.609643i	0.333210	+	0.942853i	$0.391868\pi$
$168$	−2.37338	+	10.1536i	−0.183110	+	0.783370i
$169$	12.6652	+	2.93122i	0.974248	+	0.225478i
$170$	0.912390	+	0.526768i	0.0699771	+	0.0404013i
$171$	16.1622	−	3.97719i	1.23596	−	0.304143i
$172$	2.73854	+	4.74330i	0.208812	+	0.361673i
$173$	0.567430	−	0.982818i	0.0431409	−	0.0747223i	−0.843649	−	0.536896i	$-0.819597\pi$
$173$	0.567430	−	0.982818i	0.0431409	−	0.0747223i	0.886790	+	0.462173i	$0.152930\pi$
$174$	11.1985	+	6.61950i	0.848953	+	0.501823i
$175$	−12.5986	+	3.95571i	−0.952366	+	0.299024i
$176$	−4.49120	+	4.49120i	−0.338537	+	0.338537i
$177$	7.17647	−	4.04576i	0.539416	−	0.304098i
$178$	−11.9606	−	20.7164i	−0.896486	−	1.55276i
$179$	5.09544	+	8.82556i	0.380851	+	0.659653i	0.991184	−	0.132492i	$-0.0422978\pi$
$179$	5.09544	+	8.82556i	0.380851	+	0.659653i	−0.610333	+	0.792145i	$0.708964\pi$
$180$	0.115010	+	0.119828i	0.00857235	+	0.00893148i
$181$			4.89040i			0.363500i	0.983345	+	0.181750i	$0.0581762\pi$
$181$			4.89040i			0.363500i	−0.983345	+	0.181750i	$0.941824\pi$
$182$	−15.2974	−	1.09231i	−1.13392	−	0.0809672i
$183$	−6.28213	−	24.4455i	−0.464388	−	1.80706i
$184$	0.379378	+	1.41586i	0.0279681	+	0.104378i
$185$	0.262787	−	0.151720i	0.0193205	−	0.0111547i
$186$	10.2904	−	10.0814i	0.754527	−	0.739205i
$187$	−2.35655	−	8.79476i	−0.172328	−	0.643136i
$188$	−5.39780	−	5.39780i	−0.393675	−	0.393675i
$189$	−7.01223	−	11.8249i	−0.510065	−	0.860136i
$190$	−0.597253	−	0.597253i	−0.0433293	−	0.0433293i
$191$	3.22875	+	1.86412i	0.233624	+	0.134883i	0.612243	−	0.790670i	$-0.290268\pi$
$191$	3.22875	+	1.86412i	0.233624	+	0.134883i	−0.378619	+	0.925553i	$0.623601\pi$
$192$	−5.44719	−	5.56010i	−0.393117	−	0.401265i
$193$	3.38318	−	12.6262i	0.243526	−	0.908853i	−0.730592	−	0.682814i	$-0.760756\pi$
$193$	3.38318	−	12.6262i	0.243526	−	0.908853i	0.974118	−	0.226039i	$-0.0725776\pi$
$194$	−0.0733836	+	0.127104i	−0.00526864	+	0.00912555i
$195$	0.356744	−	0.471645i	0.0255469	−	0.0337752i
$196$	4.07786	−	0.346906i	0.291275	−	0.0247790i
$197$	9.58576	+	9.58576i	0.682957	+	0.682957i	0.960665	−	0.277708i	$-0.0895748\pi$
$197$	9.58576	+	9.58576i	0.682957	+	0.682957i	−0.277708	+	0.960665i	$0.589575\pi$
$198$	0.130170	−	6.34436i	0.00925076	−	0.450874i
$199$	2.20910	−	1.27542i	0.156599	−	0.0904123i	−0.419653	−	0.907685i	$-0.637848\pi$
$199$	2.20910	−	1.27542i	0.156599	−	0.0904123i	0.576252	+	0.817272i	$0.304515\pi$
$200$	2.93934	−	10.9698i	0.207843	−	0.775680i
$201$	−0.996517	+	0.561791i	−0.0702889	+	0.0396257i
$202$	4.67481	+	4.67481i	0.328918	+	0.328918i
$203$	−2.68966	+	12.0638i	−0.188777	+	0.846710i
$204$	−6.78730	+	1.74423i	−0.475206	+	0.122121i
$205$	−0.292123	−	0.168657i	−0.0204027	−	0.0117795i
$206$	−1.04994	−	0.281330i	−0.0731526	−	0.0196012i
$207$	−1.65347	−	1.00041i	−0.114924	−	0.0695333i
$208$	10.3571	−	13.9889i	0.718137	−	0.969958i
$209$			7.29968i			0.504929i
$210$	−0.329206	+	0.615089i	−0.0227174	+	0.0424452i
$211$	20.8057			1.43232			0.716162	−	0.697934i	$-0.245897\pi$
$211$	20.8057			1.43232			0.716162	+	0.697934i	$0.245897\pi$
$212$	0.486994	−	0.843499i	0.0334469	−	0.0579317i
$213$	−6.37584	−	0.0654010i	−0.436866	−	0.00448120i
$214$	−14.2138	−	3.80856i	−0.971632	−	0.260348i
$215$	−0.229600	−	0.856878i	−0.0156586	−	0.0584386i
$216$	11.8179	+	0.363772i	0.804105	+	0.0247516i
$217$	12.1334	+	6.33475i	0.823667	+	0.430031i
$218$	7.78449			0.527232
$219$	6.79564	+	12.0543i	0.459207	+	0.814552i
$220$	−0.0630829	+	0.0364209i	−0.00425305	+	0.00245550i
$221$	9.94317	+	22.8846i	0.668850	+	1.53939i
$222$	−2.39773	+	8.59481i	−0.160925	+	0.576846i
$223$	−14.2103	+	14.2103i	−0.951595	+	0.951595i	−0.998881	−	0.0472861i	$-0.984943\pi$
$223$	−14.2103	+	14.2103i	−0.951595	+	0.951595i	0.0472861	+	0.998881i	$0.484943\pi$
$224$	−3.93088	+	7.52908i	−0.262643	+	0.503058i
$225$	7.21898	+	13.1179i	0.481265	+	0.874529i
$226$	5.40742	+	20.1808i	0.359696	+	1.34240i
$227$	−0.332055	+	1.23925i	−0.0220393	+	0.0822517i	−0.976070	−	0.217459i	$-0.930223\pi$
$227$	−0.332055	+	1.23925i	−0.0220393	+	0.0822517i	0.954030	+	0.299710i	$0.0968900\pi$
$228$	5.61803	+	0.0576277i	0.372063	+	0.00381649i
$229$	4.69919	−	1.25914i	0.310531	−	0.0832066i	−0.100188	−	0.994969i	$-0.531944\pi$
$229$	4.69919	−	1.25914i	0.310531	−	0.0832066i	0.410719	+	0.911762i	$0.365278\pi$
$230$			0.0980705i			0.00646658i
$231$	5.77063	−	1.74704i	0.379680	−	0.114947i
$232$	−7.51652	−	7.51652i	−0.493484	−	0.493484i
$233$	−12.6239	+	21.8653i	−0.827021	+	1.43244i	0.0733435	+	0.997307i	$0.476633\pi$
$233$	−12.6239	+	21.8653i	−0.827021	+	1.43244i	−0.900365	+	0.435136i	$0.856700\pi$
$234$	2.21237	+	17.2485i	0.144627	+	1.12757i
$235$	0.618197	+	1.07075i	0.0403267	+	0.0698480i
$236$	2.68609	−	0.719737i	0.174850	−	0.0468509i
$237$	−1.18807	−	4.62312i	−0.0771736	−	0.300304i
$238$	−15.7860	−	24.8448i	−1.02325	−	1.61045i
$239$	−11.6256	−	11.6256i	−0.752000	−	0.752000i	0.222853	−	0.974852i	$-0.428463\pi$
$239$	−11.6256	−	11.6256i	−0.752000	−	0.752000i	−0.974852	+	0.222853i	$0.928463\pi$
$240$	−0.388838	−	0.689730i	−0.0250994	−	0.0445219i
$241$	−0.457839	+	1.70868i	−0.0294920	+	0.110066i	−0.979103	−	0.203366i	$-0.934812\pi$
$241$	−0.457839	+	1.70868i	−0.0294920	+	0.110066i	0.949611	+	0.313431i	$0.101479\pi$
$242$	−14.3938	−	3.85680i	−0.925267	−	0.247925i
$243$	−11.5733	+	10.4431i	−0.742426	+	0.669928i
$244$		−	8.51971i		−	0.545418i
$245$	−0.652513	−	0.116671i	−0.0416875	−	0.00745385i
$246$	9.60693	−	2.46884i	0.612516	−	0.157407i
$247$	−2.95144	−	19.7852i	−0.187796	−	1.25890i
$248$	−10.1946	+	5.88585i	−0.647357	+	0.373752i
$249$	−21.3464	−	0.218964i	−1.35278	−	0.0138763i
$250$	0.760513	−	1.31725i	0.0480990	−	0.0833100i
$251$	−10.4449			−0.659279			−0.329639	−	0.944107i	$-0.606927\pi$
$251$	−10.4449			−0.659279			−0.329639	+	0.944107i	$0.606927\pi$
$252$	−1.29902	−	4.45503i	−0.0818303	−	0.280641i
$253$	0.599313	−	0.599313i	0.0376785	−	0.0376785i
$254$	−3.00777	−	11.2251i	−0.188724	−	0.704328i
$255$	1.13497	+	0.0116421i	0.0710749	+	0.000729059i
$256$	−6.47474	−	11.2146i	−0.404671	−	0.700911i
$257$	−1.19260	+	2.06564i	−0.0743922	+	0.128851i	−0.900822	−	0.434189i	$-0.857035\pi$
$257$	−1.19260	+	2.06564i	−0.0743922	+	0.128851i	0.826430	+	0.563040i	$0.190368\pi$
$258$	22.4564	+	13.2742i	1.39807	+	0.826414i
$259$	−8.47046	+	0.359644i	−0.526329	+	0.0223472i
$260$	0.156255	−	0.124222i	0.00969052	−	0.00770391i
$261$	14.0119	+	0.287488i	0.867317	+	0.0177951i
$262$	21.3056	+	5.70881i	1.31626	+	0.352692i
$263$	−8.77366	+	5.06547i	−0.541007	+	0.312350i	−0.745487	−	0.666520i	$-0.767783\pi$
$263$	−8.77366	+	5.06547i	−0.541007	+	0.312350i	0.204480	+	0.978871i	$0.434450\pi$
$264$	−1.39338	+	4.99467i	−0.0857566	+	0.307400i
$265$	−0.111549	+	0.111549i	−0.00685237	+	0.00685237i
$266$	7.06940	+	22.5155i	0.433453	+	1.38051i
$267$	−22.1856	−	13.1141i	−1.35774	−	0.802570i
$268$	−0.372988	+	0.0999420i	−0.0227839	+	0.00610493i
$269$	−14.6927	+	8.48285i	−0.895832	+	0.517209i	−0.875846	−	0.482591i	$-0.839696\pi$
$269$	−14.6927	+	8.48285i	−0.895832	+	0.517209i	−0.0199863	+	0.999800i	$0.506362\pi$
$270$	0.757442	+	0.228153i	0.0460964	+	0.0138849i
$271$	−13.1053	+	3.51155i	−0.796090	+	0.213312i	−0.633867	−	0.773442i	$-0.718533\pi$
$271$	−13.1053	+	3.51155i	−0.796090	+	0.213312i	−0.162223	+	0.986754i	$0.551867\pi$
$272$	33.4076			2.02563
$273$	−14.9344	+	7.06842i	−0.903873	+	0.427800i
$274$	17.9676			1.08546
$275$	−6.34294	+	1.69959i	−0.382494	+	0.102489i
$276$	−0.456517	−	0.465979i	−0.0274791	−	0.0280487i
$277$	10.5561	−	6.09455i	0.634252	−	0.366186i	−0.148145	−	0.988966i	$-0.547330\pi$
$277$	10.5561	−	6.09455i	0.634252	−	0.366186i	0.782397	+	0.622780i	$0.213997\pi$
$278$	8.08896	−	2.16743i	0.485143	−	0.129994i
$279$	4.32359	−	14.9058i	0.258847	−	0.892386i
$280$	0.385646	−	0.419846i	0.0230468	−	0.0250906i
$281$	−15.4646	+	15.4646i	−0.922543	+	0.922543i	−0.997209	−	0.0746655i	$-0.976211\pi$
$281$	−15.4646	+	15.4646i	−0.922543	+	0.922543i	0.0746655	+	0.997209i	$0.476211\pi$
$282$	−35.0203	−	9.76974i	−2.08543	−	0.581779i
$283$	−19.8119	+	11.4384i	−1.17770	+	0.679944i	−0.955481	−	0.295053i	$-0.904663\pi$
$283$	−19.8119	+	11.4384i	−1.17770	+	0.679944i	−0.222217	+	0.974997i	$0.571329\pi$
$284$	−2.07895	−	0.557052i	−0.123363	−	0.0330550i
$285$	−0.876512	−	0.244524i	−0.0519201	−	0.0144843i
$286$	−7.57732	−	0.865402i	−0.448056	−	0.0511723i
$287$	5.05424	+	7.95462i	0.298343	+	0.469547i
$288$	9.24943	+	2.68290i	0.545028	+	0.158091i
$289$	−15.4451	+	26.7517i	−0.908537	+	1.57363i
$290$	−0.355602	−	0.615921i	−0.0208817	−	0.0361681i
$291$	−0.00162186	+	0.158112i	−9.50749e−5	+	0.00926871i
$292$	1.20894	+	4.51181i	0.0707477	+	0.264034i
$293$	6.01322	−	6.01322i	0.351296	−	0.351296i	−0.509296	−	0.860592i	$-0.670094\pi$
$293$	6.01322	−	6.01322i	0.351296	−	0.351296i	0.860592	+	0.509296i	$0.170094\pi$
$294$	16.1073	−	10.9773i	0.939395	−	0.640206i
$295$	−0.450404			−0.0262236
$296$	3.64571	−	6.31456i	0.211903	−	0.367026i
$297$	−3.23451	−	6.02301i	−0.187685	−	0.349491i
$298$	20.2784	−	11.7078i	1.17470	−	0.678213i
$299$	−1.38207	+	1.86671i	−0.0799272	+	0.107954i
$300$	1.25797	+	4.89512i	0.0726292	+	0.282620i
$301$	−5.39362	+	24.1916i	−0.310883	+	1.39438i
$302$		−	9.06509i		−	0.521638i
$303$	6.86063	+	1.91393i	0.394133	+	0.109953i
$304$	−25.8709	−	6.93209i	−1.48380	−	0.397583i
$305$	−0.357146	+	1.33289i	−0.0204501	+	0.0763209i
$306$	−24.0802	+	23.1119i	−1.37657	+	1.32122i
$307$	11.2017	+	11.2017i	0.639313	+	0.639313i	0.950386	−	0.311073i	$-0.100688\pi$
$307$	11.2017	+	11.2017i	0.639313	+	0.639313i	−0.311073	+	0.950386i	$0.600688\pi$
$308$	2.03336	−	0.0863336i	0.115861	−	0.00491931i
$309$	−1.13421	+	0.291474i	−0.0645227	+	0.0165814i
$310$	−0.760756	+	0.203844i	−0.0432080	+	0.0115776i
$311$	7.70089	+	13.3383i	0.436677	+	0.756348i	0.997431	−	0.0716353i	$-0.0228218\pi$
$311$	7.70089	+	13.3383i	0.436677	+	0.756348i	−0.560753	+	0.827983i	$0.689488\pi$
$312$	1.75717	−	14.1010i	0.0994802	−	0.798312i
$313$	−9.06938	+	15.7086i	−0.512632	+	0.887904i	0.487261	+	0.873256i	$0.337996\pi$
$313$	−9.06938	+	15.7086i	−0.512632	+	0.887904i	−0.999893	+	0.0146479i	$0.995337\pi$
$314$	−12.7213	−	12.7213i	−0.717905	−	0.717905i
$315$	0.0164730	+	0.751434i	0.000928150	+	0.0423385i
$316$		−	1.61124i		−	0.0906395i
$317$	−19.2637	+	5.16168i	−1.08195	+	0.289909i	−0.755396	−	0.655268i	$-0.772556\pi$
$317$	−19.2637	+	5.16168i	−1.08195	+	0.289909i	−0.326558	+	0.945177i	$0.605889\pi$
$318$	0.0475817	−	4.63867i	0.00266825	−	0.260124i
$319$	−1.59082	+	5.93702i	−0.0890688	+	0.332409i
$320$	0.110141	+	0.411051i	0.00615706	+	0.0229785i
$321$	−15.3546	+	3.94589i	−0.857008	+	0.220238i
$322$	1.26814	−	2.42896i	0.0706708	−	0.135360i
$323$	27.1491	−	27.1491i	1.51062	−	1.51062i
$324$	−4.66101	+	2.44182i	−0.258945	+	0.135657i
$325$	16.5048	−	7.17119i	0.915523	−	0.397786i
$326$	17.3239	−	10.0020i	0.959482	−	0.553957i
$327$	7.30570	−	4.11862i	0.404006	−	0.227760i
$328$	−8.10538			−0.447545
$329$	−1.46540	−	34.5136i	−0.0807901	−	1.90280i
$330$	−0.176538	+	0.298656i	−0.00971811	+	0.0164405i
$331$	−8.34223	−	31.1336i	−0.458530	−	1.71126i	−0.677496	−	0.735526i	$-0.736935\pi$
$331$	−8.34223	−	31.1336i	−0.458530	−	1.71126i	0.218966	−	0.975733i	$-0.429732\pi$
$332$	−6.96035	−	1.86502i	−0.381999	−	0.102356i
$333$	2.29709	+	9.33477i	0.125880	+	0.511542i
$334$	−8.95613	+	15.5125i	−0.490058	+	0.848805i
$335$	0.0625427			0.00341707
$336$	0.711682	+	22.1109i	0.0388255	+	1.20625i
$337$			33.1788i			1.80737i	0.428202	+	0.903683i	$0.359147\pi$
$337$			33.1788i			1.80737i	−0.428202	+	0.903683i	$0.640853\pi$
$338$	20.8876	−	0.718097i	1.13613	−	0.0390593i
$339$	15.7521	+	16.0786i	0.855535	+	0.873268i
$340$	0.370077	+	0.0991618i	0.0200702	+	0.00537780i
$341$	5.89471	+	3.40331i	0.319216	+	0.184300i
$342$	23.4435	−	12.9013i	1.26768	−	0.697623i
$343$	14.6524	+	11.3272i	0.791156	+	0.611614i
$344$	−15.0730	−	15.0730i	−0.812680	−	0.812680i
$345$	0.0518871	+	0.0920386i	0.00279351	+	0.00495519i
$346$	0.472215	−	1.76233i	0.0253865	−	0.0947435i
$347$	25.1659	−	14.5296i	1.35098	−	0.779987i	0.362591	−	0.931948i	$-0.381892\pi$
$347$	25.1659	−	14.5296i	1.35098	−	0.779987i	0.988387	+	0.151961i	$0.0485587\pi$
$348$	4.55674	+	1.27121i	0.244267	+	0.0681440i
$349$	−0.811008	−	0.811008i	−0.0434123	−	0.0434123i	0.685067	−	0.728480i	$-0.259773\pi$
$349$	−0.811008	−	0.811008i	−0.0434123	−	0.0434123i	−0.728480	+	0.685067i	$0.759773\pi$
$350$	−17.9185	+	11.3851i	−0.957784	+	0.608561i
$351$	11.2021	+	15.0171i	0.597925	+	0.801552i
$352$	−2.11185	+	3.65782i	−0.112562	+	0.194963i
$353$	−4.36534	+	16.2917i	−0.232344	+	0.867119i	0.746984	+	0.664841i	$0.231501\pi$
$353$	−4.36534	+	16.2917i	−0.232344	+	0.867119i	−0.979328	+	0.202277i	$0.935166\pi$
$354$	9.46094	−	9.26881i	0.502843	−	0.492632i
$355$	0.301895	+	0.174299i	0.0160229	+	0.00925083i
$356$	−6.15130	−	6.15130i	−0.326018	−	0.326018i
$357$	−27.9599	−	14.9646i	−1.47979	−	0.792012i
$358$	11.5850	+	11.5850i	0.612289	+	0.612289i
$359$	−0.373012	−	1.39210i	−0.0196868	−	0.0734721i	0.955384	−	0.295368i	$-0.0954422\pi$
$359$	−0.373012	−	1.39210i	−0.0196868	−	0.0734721i	−0.975070	+	0.221896i	$0.928776\pi$
$360$	−0.553062	−	0.334622i	−0.0291489	−	0.0176361i
$361$	−10.2033	+	5.89090i	−0.537017	+	0.310047i
$362$	2.03489	+	7.59432i	0.106952	+	0.399149i
$363$	−15.5490	+	3.99587i	−0.816113	+	0.209729i
$364$	−5.47634	+	1.05614i	−0.287038	+	0.0553567i
$365$		−	0.756541i		−	0.0395992i
$366$	−19.9273	−	35.3475i	−1.04162	−	1.84765i
$367$	−12.9635	−	22.4534i	−0.676688	−	1.17206i	−0.975972	−	0.217894i	$-0.930081\pi$
$367$	−12.9635	−	22.4534i	−0.676688	−	1.17206i	0.299284	−	0.954164i	$-0.403252\pi$
$368$	1.55490	+	2.69317i	0.0810550	+	0.140391i
$369$	7.70984	−	7.39982i	0.401358	−	0.385219i
$370$	0.344953	−	0.344953i	0.0179333	−	0.0179333i
$371$	4.20520	−	1.32035i	0.218323	−	0.0685491i
$372$	2.66582	−	4.50987i	0.138216	−	0.233826i
$373$	−11.8540	+	20.5318i	−0.613778	+	1.06310i	0.376819	+	0.926287i	$0.377018\pi$
$373$	−11.8540	+	20.5318i	−0.613778	+	1.06310i	−0.990598	+	0.136808i	$0.956316\pi$
$374$	−7.31900	−	12.6769i	−0.378456	−	0.655505i
$375$	0.0168081	−	1.63860i	0.000867969	−	0.0846169i
$376$	25.7292	+	14.8548i	1.32688	+	0.766076i
$377$	1.91130	−	16.7350i	0.0984368	−	0.861896i
$378$	−15.8097	−	15.4452i	−0.813162	−	0.794415i
$379$	1.29118	−	1.29118i	0.0663237	−	0.0663237i	−0.673167	−	0.739491i	$-0.735066\pi$
$379$	1.29118	−	1.29118i	0.0663237	−	0.0663237i	0.739491	+	0.673167i	$0.235066\pi$
$380$	−0.266012	−	0.153582i	−0.0136462	−	0.00787861i
$381$	−8.76177	−	8.94338i	−0.448879	−	0.458183i
$382$	5.78960	+	1.55132i	0.296222	+	0.0793723i
$383$	9.45619	−	2.53378i	0.483189	−	0.129470i	−0.00899834	−	0.999960i	$-0.502864\pi$
$383$	9.45619	−	2.53378i	0.483189	−	0.129470i	0.492187	+	0.870490i	$0.336198\pi$
$384$	−20.3457	−	12.0265i	−1.03826	−	0.613725i
$385$	−0.321733	−	0.0717318i	−0.0163970	−	0.00365579i
$386$		−	21.0150i		−	1.06964i
$387$	28.0983	+	0.576504i	1.42832	+	0.0293054i
$388$	−0.0138141	+	0.0515551i	−0.000701307	+	0.00261731i
$389$	−12.5558	−	21.7473i	−0.636604	−	1.10263i	−0.986173	−	0.165720i	$-0.947005\pi$
$389$	−12.5558	−	21.7473i	−0.636604	−	1.10263i	0.349568	−	0.936911i	$-0.386328\pi$
$390$	0.357738	−	0.880861i	0.0181148	−	0.0446041i
$391$	−4.45796			−0.225449
$392$	−14.9805	+	5.41176i	−0.756628	+	0.273335i
$393$	23.0156	−	5.91466i	1.16098	−	0.298355i
$394$	18.8744	+	10.8972i	0.950880	+	0.548991i
$395$	−0.0675433	+	0.252075i	−0.00339847	+	0.0126833i
$396$	−0.551424	−	2.24084i	−0.0277101	−	0.112606i
$397$	15.7277	−	4.21422i	0.789350	−	0.211506i	0.158447	−	0.987367i	$-0.449351\pi$
$397$	15.7277	−	4.21422i	0.789350	−	0.211506i	0.630903	+	0.775862i	$0.282685\pi$
$398$	2.89982	−	2.89982i	0.145355	−	0.145355i
$399$	18.5471	+	17.3903i	0.928514	+	0.870606i
$400$		−	24.0942i		−	1.20471i
$401$	1.53997	+	5.74724i	0.0769024	+	0.287004i	0.993658	−	0.112445i	$-0.0358682\pi$
$401$	1.53997	+	5.74724i	0.0769024	+	0.287004i	−0.916756	+	0.399449i	$0.869202\pi$
$402$	−1.31374	+	1.28706i	−0.0655232	+	0.0641926i
$403$	−17.3532	−	6.84101i	−0.864422	−	0.340775i
$404$	2.08213	+	1.20212i	0.103590	+	0.0598076i
$405$	0.831566	−	0.186627i	0.0413208	−	0.00927357i
$406$	0.842933	+	19.8531i	0.0418341	+	0.985290i
$407$	−4.21605			−0.208982
$408$	23.7586	−	13.3940i	1.17622	−	0.663101i
$409$	15.3259	+	4.10655i	0.757815	+	0.203056i	0.616982	−	0.786977i	$-0.288355\pi$
$409$	15.3259	+	4.10655i	0.757815	+	0.203056i	0.140833	+	0.990033i	$0.455022\pi$
$410$	−0.523817	−	0.140356i	−0.0258695	−	0.00693171i
$411$	16.8625	−	9.50627i	0.831763	−	0.468910i
$412$	−0.395292			−0.0194746
$413$	11.1554	+	5.82415i	0.548920	+	0.286588i
$414$	−2.98396	−	0.865531i	−0.146654	−	0.0425385i
$415$	1.01075	+	0.583556i	0.0496157	+	0.0286456i
$416$	4.24503	−	10.7681i	0.208130	−	0.527949i
$417$	6.44469	−	6.31382i	0.315598	−	0.309189i
$418$	3.03739	+	11.3357i	0.148564	+	0.554448i
$419$			10.4141i			0.508762i	0.967104	+	0.254381i	$0.0818717\pi$
$419$			10.4141i			0.508762i	−0.967104	+	0.254381i	$0.918128\pi$
$420$	−0.0577467	+	0.247049i	−0.00281775	+	0.0120547i
$421$	17.0269	−	17.0269i	0.829843	−	0.829843i	−0.157652	−	0.987495i	$-0.550392\pi$
$421$	17.0269	−	17.0269i	0.829843	−	0.829843i	0.987495	+	0.157652i	$0.0503924\pi$
$422$	32.3093	−	8.65725i	1.57279	−	0.421428i
$423$	−38.0353	+	9.35969i	−1.84934	+	0.455084i
$424$	−0.981102	+	3.66152i	−0.0476465	+	0.177819i
$425$	29.9119	+	17.2697i	1.45094	+	0.837702i
$426$	−9.92830	+	2.55143i	−0.481028	+	0.123617i
$427$	26.0811	−	28.3940i	1.26215	−	1.37408i
$428$	−5.35135			−0.258667
$429$	−7.56913	+	3.19683i	−0.365441	+	0.154344i
$430$	−0.713093	−	1.23511i	−0.0343884	−	0.0595625i
$431$	2.98095	−	11.1251i	0.143587	−	0.535876i	−0.856227	−	0.516600i	$-0.827197\pi$
$431$	2.98095	−	11.1251i	0.143587	−	0.535876i	0.999814	−	0.0192755i	$-0.00613597\pi$
$432$	24.4179	−	5.74377i	1.17481	−	0.276347i
$433$		−	26.7409i		−	1.28508i	−0.766250	−	0.642542i	$-0.777880\pi$
$433$		−	26.7409i		−	1.28508i	0.766250	−	0.642542i	$-0.222120\pi$
$434$	21.4779	+	4.78858i	1.03097	+	0.229859i
$435$	−0.659602	−	0.389896i	−0.0316255	−	0.0186941i
$436$	2.73446	−	0.732698i	0.130957	−	0.0350899i
$437$	3.45226	+	0.925029i	0.165144	+	0.0442501i
$438$	15.5688	+	15.8915i	0.743904	+	0.759324i
$439$	−14.8760	−	8.58867i	−0.709993	−	0.409915i	0.101065	−	0.994880i	$-0.467775\pi$
$439$	−14.8760	−	8.58867i	−0.709993	−	0.409915i	−0.811059	+	0.584965i	$0.801108\pi$
$440$	0.200461	−	0.200461i	0.00955661	−	0.00955661i
$441$	9.30874	−	18.8241i	0.443273	−	0.896387i
$442$	24.9631	+	31.4003i	1.18737	+	1.49356i
$443$	−23.9718	−	13.8402i	−1.13894	−	0.657565i	−0.192770	−	0.981244i	$-0.561747\pi$
$443$	−23.9718	−	13.8402i	−1.13894	−	0.657565i	−0.946167	+	0.323679i	$0.895080\pi$
$444$	−0.0332838	+	3.24479i	−0.00157958	+	0.153991i
$445$	0.704494	+	1.22022i	0.0333962	+	0.0578439i
$446$	−16.1544	+	27.9803i	−0.764933	+	1.32490i
$447$	12.8369	−	21.7166i	0.607162	−	1.02716i
$448$	2.58736	−	11.6049i	0.122241	−	0.548281i
$449$	20.7044	−	20.7044i	0.977103	−	0.977103i	−0.0226407	−	0.999744i	$-0.507207\pi$
$449$	20.7044	−	20.7044i	0.977103	−	0.977103i	0.999744	+	0.0226407i	$0.00720736\pi$
$450$	16.6688	+	17.3671i	0.785773	+	0.818692i
$451$	2.34335	+	4.05879i	0.110344	+	0.191121i
$452$	3.79894	+	6.57995i	0.178687	+	0.309495i
$453$	−4.79616	−	8.50754i	−0.225343	−	0.399719i
$454$			2.06260i			0.0968027i
$455$	0.901034	+	0.0643381i	0.0422411	+	0.00301622i
$456$	−21.1780	+	5.44242i	−0.991749	+	0.254865i
$457$	1.69578	+	6.32874i	0.0793253	+	0.296046i	0.994179	−	0.107739i	$-0.0343611\pi$
$457$	1.69578	+	6.32874i	0.0793253	+	0.296046i	−0.914854	+	0.403785i	$0.867694\pi$
$458$	6.77347	−	3.91066i	0.316503	−	0.182733i
$459$	−10.3711	+	34.4308i	−0.484080	+	1.60709i
$460$	0.00923066	+	0.0344493i	0.000430382	+	0.00160621i
$461$	−14.8981	−	14.8981i	−0.693875	−	0.693875i	0.269207	−	0.963082i	$-0.413238\pi$
$461$	−14.8981	−	14.8981i	−0.693875	−	0.693875i	−0.963082	+	0.269207i	$0.913238\pi$
$462$	8.23430	−	5.11415i	0.383094	−	0.237932i
$463$	−8.46051	−	8.46051i	−0.393193	−	0.393193i	0.482631	−	0.875824i	$-0.339681\pi$
$463$	−8.46051	−	8.46051i	−0.393193	−	0.393193i	−0.875824	+	0.482631i	$0.839681\pi$
$464$	−19.5308	−	11.2761i	−0.906695	−	0.523480i
$465$	−0.606115	+	0.593807i	−0.0281079	+	0.0275371i
$466$	−10.5056	+	39.2075i	−0.486664	+	1.81625i
$467$	0.371466	−	0.643397i	0.0171894	−	0.0297729i	−0.857303	−	0.514813i	$-0.827862\pi$
$467$	0.371466	−	0.643397i	0.0171894	−	0.0297729i	0.874492	+	0.485040i	$0.161195\pi$
$468$	2.40061	+	5.85065i	0.110968	+	0.270447i
$469$	−1.54902	−	0.808735i	−0.0715273	−	0.0373439i
$470$	1.40554	+	1.40554i	0.0648328	+	0.0648328i
$471$	−18.6695	−	5.20829i	−0.860243	−	0.239985i
$472$	−9.37286	+	5.41142i	−0.431421	+	0.249081i
$473$	−3.19009	+	11.9056i	−0.146681	+	0.547419i
$474$	−3.76864	−	6.68491i	−0.173099	−	0.307048i
$475$	−19.5804	−	19.5804i	−0.898412	−	0.898412i
$476$	−7.88361	−	7.24142i	−0.361345	−	0.331910i
$477$	−2.40957	−	4.37854i	−0.110327	−	0.200479i
$478$	−22.8909	−	13.2161i	−1.04701	−	0.604490i
$479$	0.940258	+	0.251941i	0.0429615	+	0.0115115i	0.280236	−	0.959931i	$-0.409587\pi$
$479$	0.940258	+	0.251941i	0.0429615	+	0.0115115i	−0.237274	+	0.971443i	$0.576254\pi$
$480$	−0.368473	−	0.376110i	−0.0168184	−	0.0171670i
$481$	11.4272	−	1.70465i	0.521037	−	0.0777255i
$482$			2.84392i			0.129537i
$483$	−0.0949680	−	2.95051i	−0.00432119	−	0.134253i
$484$	−5.41913			−0.246324
$485$	0.00432238	−	0.00748658i	0.000196269	−	0.000339948i
$486$	−13.6268	+	21.0329i	−0.618125	+	0.954070i
$487$	13.2932	+	3.56189i	0.602370	+	0.161405i	0.547101	−	0.837067i	$-0.315731\pi$
$487$	13.2932	+	3.56189i	0.602370	+	0.161405i	0.0552696	+	0.998471i	$0.482398\pi$
$488$	8.58193	+	32.0282i	0.388486	+	1.44985i
$489$	10.9665	−	18.5525i	0.495924	−	0.838973i
$490$	−1.06184	+	0.0903312i	−0.0479690	+	0.00408075i
$491$	15.3353			0.692071			0.346035	−	0.938221i	$-0.387528\pi$
$491$	15.3353			0.692071			0.346035	+	0.938221i	$0.387528\pi$
$492$	3.14226	−	1.77146i	0.141664	−	0.0798637i
$493$	27.9977	−	16.1645i	1.26095	−	0.728011i
$494$	−12.8159	−	29.4964i	−0.576615	−	1.32710i
$495$	−0.00766714	+	0.373690i	−0.000344612	+	0.0167961i
$496$	−17.6596	+	17.6596i	−0.792941	+	0.792941i
$497$	−5.22331	−	8.22072i	−0.234298	−	0.368750i
$498$	−33.2401	+	8.54222i	−1.48952	+	0.382786i
$499$	6.62796	+	24.7359i	0.296708	+	1.10733i	0.939851	+	0.341584i	$0.110964\pi$
$499$	6.62796	+	24.7359i	0.296708	+	1.10733i	−0.643143	+	0.765746i	$0.722370\pi$
$500$	0.143163	−	0.534292i	0.00640245	−	0.0238943i
$501$	−0.197940	+	19.2969i	−0.00884330	+	0.862120i
$502$	−16.2200	+	4.34614i	−0.723934	+	0.193978i
$503$			27.7326i			1.23654i	0.785967	+	0.618268i	$0.212165\pi$
$503$			27.7326i			1.23654i	−0.785967	+	0.618268i	$0.787835\pi$
$504$	9.37097	+	15.4393i	0.417416	+	0.687722i
$505$	−0.275351	−	0.275351i	−0.0122530	−	0.0122530i
$506$	0.681303	−	1.18005i	0.0302876	−	0.0524597i
$507$	19.2229	−	11.7251i	0.853721	−	0.520731i
$508$	−2.11308	−	3.65997i	−0.0937529	−	0.162385i
$509$	18.3820	−	4.92544i	0.814767	−	0.218316i	0.172710	−	0.984973i	$-0.444748\pi$
$509$	18.3820	−	4.92544i	0.814767	−	0.218316i	0.642057	+	0.766657i	$0.278081\pi$
$510$	1.76735	−	0.454184i	0.0782597	−	0.0201116i
$511$	−9.78278	+	18.7376i	−0.432765	+	0.828903i
$512$	4.57633	+	4.57633i	0.202247	+	0.202247i
$513$	15.1758	−	24.5113i	0.670028	−	1.08220i
$514$	−0.992480	+	3.70399i	−0.0437764	+	0.163376i
$515$	0.0618425	+	0.0165706i	0.00272510	+	0.000730189i
$516$	9.13768	+	2.54917i	0.402264	+	0.112221i
$517$		−	17.1786i		−	0.755516i
$518$	−13.0042	+	4.08305i	−0.571370	+	0.179399i
$519$	−0.489243	−	1.90378i	−0.0214754	−	0.0835666i
$520$	−0.462281	+	0.624384i	−0.0202724	+	0.0273811i
$521$	−14.2369	+	8.21969i	−0.623731	+	0.360111i	−0.778320	−	0.627868i	$-0.783928\pi$
$521$	−14.2369	+	8.21969i	−0.623731	+	0.360111i	0.154589	+	0.987979i	$0.450595\pi$
$522$	21.8788	−	5.38392i	0.957610	−	0.235648i
$523$	−2.13117	+	3.69130i	−0.0931897	+	0.161409i	−0.908852	−	0.417120i	$-0.863040\pi$
$523$	−2.13117	+	3.69130i	−0.0931897	+	0.161409i	0.815662	+	0.578529i	$0.196373\pi$
$524$	8.02136			0.350415
$525$	−10.7928	+	20.1652i	−0.471035	+	0.880081i
$526$	−11.5169	+	11.5169i	−0.502162	+	0.502162i
$527$	−9.26606	−	34.5814i	−0.403636	−	1.50639i
$528$	−0.112840	+	11.0006i	−0.00491072	+	0.478739i
$529$	11.2925	+	19.5592i	0.490979	+	0.850400i
$530$	−0.126809	+	0.219640i	−0.00550823	+	0.00954054i
$531$	3.97509	−	13.7043i	0.172504	−	0.594717i
$532$	4.60249	+	7.24363i	0.199543	+	0.314051i
$533$	−7.99251	−	10.0535i	−0.346194	−	0.435467i
$534$	−39.9089	−	11.1335i	−1.72703	−	0.481795i
$535$	0.837206	+	0.224329i	0.0361956	+	0.00969857i
$536$	1.30151	−	0.751425i	0.0562165	−	0.0324566i
$537$	17.0019	+	4.74308i	0.733686	+	0.204679i
$538$	−19.2867	+	19.2867i	−0.831509	+	0.831509i
$539$	7.04096	+	5.93692i	0.303276	+	0.255721i
$540$	0.287542	+	0.00885096i	0.0123738	+	0.000380885i
$541$	−4.99628	+	1.33875i	−0.214807	+	0.0575574i	−0.364618	−	0.931157i	$-0.618800\pi$
$541$	−4.99628	+	1.33875i	−0.214807	+	0.0575574i	0.149811	+	0.988715i	$0.452134\pi$
$542$	−18.8901	+	10.9062i	−0.811401	+	0.468462i
$543$	5.92774	+	6.05061i	0.254384	+	0.259656i
$544$	21.4587	−	5.74983i	0.920033	−	0.246522i
$545$	−0.458515			−0.0196406
$546$	−20.2506	+	17.1908i	−0.866646	+	0.735699i
$547$	−39.5644			−1.69165			−0.845825	−	0.533460i	$-0.820891\pi$
$547$	−39.5644			−1.69165			−0.845825	+	0.533460i	$0.820891\pi$
$548$	6.31148	−	1.69116i	0.269613	−	0.0722426i
$549$	−37.4033	−	22.6303i	−1.59634	−	0.965838i
$550$	−9.14279	+	5.27859i	−0.389850	+	0.225080i
$551$	−25.0356	+	6.70828i	−1.06655	+	0.285782i
$552$	2.18557	+	1.29191i	0.0930240	+	0.0549873i
$553$	4.93244	−	5.36986i	0.209749	−	0.228350i
$554$	13.8566	−	13.8566i	0.588712	−	0.588712i
$555$	0.141229	−	0.506244i	0.00599482	−	0.0214889i
$556$	2.63741	−	1.52271i	0.111851	−	0.0645773i
$557$	−4.60661	−	1.23434i	−0.195188	−	0.0523005i	0.159901	−	0.987133i	$-0.448883\pi$
$557$	−4.60661	−	1.23434i	−0.195188	−	0.0523005i	−0.355089	+	0.934833i	$0.615549\pi$
$558$	0.511834	−	24.9463i	0.0216676	−	1.05606i
$559$	3.83275	−	33.5589i	0.162108	−	1.41939i
$560$	0.559758	−	1.07214i	0.0236541	−	0.0453063i
$561$	−13.5759	−	8.02484i	−0.573175	−	0.338809i
$562$	−17.5803	+	30.4500i	−0.741580	+	1.28445i
$563$	12.8023	+	22.1742i	0.539552	+	0.934531i	0.998928	+	0.0462892i	$0.0147396\pi$
$563$	12.8023	+	22.1742i	0.539552	+	0.934531i	−0.459376	+	0.888242i	$0.651927\pi$
$564$	−13.2212	−	0.135618i	−0.556711	−	0.00571054i
$565$	−0.318503	−	1.18867i	−0.0133995	−	0.0500077i
$566$	−26.0065	+	26.0065i	−1.09314	+	1.09314i
$567$	−23.0090	−	6.13064i	−0.966288	−	0.257463i
$568$	8.37652			0.351471
$569$	−5.97303	+	10.3456i	−0.250402	+	0.433710i	−0.963637	−	0.267216i	$-0.913896\pi$
$569$	−5.97303	+	10.3456i	−0.250402	+	0.433710i	0.713234	+	0.700926i	$0.247230\pi$
$570$	−1.46289	−	0.0150057i	−0.0612736	−	0.000628521i
$571$	−9.93621	+	5.73667i	−0.415817	+	0.240072i	−0.693286	−	0.720662i	$-0.743838\pi$
$571$	−9.93621	+	5.73667i	−0.415817	+	0.240072i	0.277469	+	0.960735i	$0.410504\pi$
$572$	−2.74314	+	0.409207i	−0.114697	+	0.0171098i
$573$	6.25427	−	1.60726i	0.261276	−	0.0671441i
$574$	11.1587	+	10.2497i	0.465754	+	0.427815i
$575$			3.21516i			0.134081i
$576$	−13.4790	−	0.276554i	−0.561625	−	0.0115231i
$577$	−34.4256	−	9.22430i	−1.43315	−	0.384013i	−0.543024	−	0.839717i	$-0.682721\pi$
$577$	−34.4256	−	9.22430i	−1.43315	−	0.384013i	−0.890131	+	0.455705i	$0.849387\pi$
$578$	−12.8534	+	47.9697i	−0.534632	+	1.99527i
$579$	−11.1186	−	19.7225i	−0.462074	−	0.819638i
$580$	−0.182885	−	0.182885i	−0.00759388	−	0.00759388i
$581$	−17.4877	−	27.5231i	−0.725514	−	1.14185i
$582$	0.0632719	+	0.246208i	0.00262271	+	0.0102057i
$583$	2.11716	−	0.567292i	0.0876840	−	0.0234948i
$584$	−9.08953	−	15.7435i	−0.376127	−	0.651472i
$585$	−0.130311	−	1.01595i	−0.00538769	−	0.0420046i
$586$	6.83586	−	11.8401i	0.282387	−	0.489108i
$587$	9.06275	+	9.06275i	0.374060	+	0.374060i	0.868953	−	0.494894i	$-0.164793\pi$
$587$	9.06275	+	9.06275i	0.374060	+	0.374060i	−0.494894	+	0.868953i	$0.664793\pi$
$588$	4.62481	−	5.37205i	0.190724	−	0.221540i
$589$			28.7027i			1.18267i
$590$	−0.699436	+	0.187413i	−0.0287953	+	0.00771568i
$591$	23.4790	+	0.240839i	0.965797	+	0.00990678i
$592$	4.00374	−	14.9422i	0.164553	−	0.614120i
$593$	8.00666	+	29.8813i	0.328794	+	1.22708i	0.910442	+	0.413636i	$0.135741\pi$
$593$	8.00666	+	29.8813i	0.328794	+	1.22708i	−0.581648	+	0.813440i	$0.697592\pi$
$594$	−7.52906	−	8.00729i	−0.308921	−	0.328543i
$595$	0.929811	+	1.46338i	0.0381185	+	0.0599929i
$596$	6.02126	−	6.02126i	0.246640	−	0.246640i
$597$	1.18723	−	4.25569i	0.0485899	−	0.174174i
$598$	−1.36949	+	3.47390i	−0.0560026	+	0.142058i
$599$	−34.6304	+	19.9939i	−1.41496	+	0.816928i	−0.995850	−	0.0910074i	$-0.970991\pi$
$599$	−34.6304	+	19.9939i	−1.41496	+	0.816928i	−0.419110	+	0.907935i	$0.637658\pi$
$600$	−9.65999	−	17.1351i	−0.394367	−	0.699538i
$601$	−7.51661			−0.306609			−0.153305	−	0.988179i	$-0.548992\pi$
$601$	−7.51661			−0.306609			−0.153305	+	0.988179i	$0.548992\pi$
$602$	1.69034	+	39.8116i	0.0688933	+	1.62260i
$603$	−0.551977	+	1.90297i	−0.0224783	+	0.0774948i
$604$	−0.853232	−	3.18430i	−0.0347175	−	0.129567i
$605$	0.847810	+	0.227170i	0.0344684	+	0.00923577i
$606$	11.4503	+	0.117453i	0.465136	+	0.00477119i
$607$	11.0335	−	19.1106i	0.447835	−	0.775673i	−0.550410	−	0.834895i	$-0.685528\pi$
$607$	11.0335	−	19.1106i	0.447835	−	0.775673i	0.998245	+	0.0592213i	$0.0188618\pi$
$608$	−17.8108			−0.722322
$609$	11.2949	+	18.1860i	0.457694	+	0.736934i
$610$			2.21846i			0.0898227i
$611$	6.94575	+	46.5613i	0.280995	+	1.88367i
$612$	−6.28331	+	10.3850i	−0.253988	+	0.419791i
$613$	16.8269	+	4.50874i	0.679631	+	0.182106i	0.582089	−	0.813125i	$-0.302235\pi$
$613$	16.8269	+	4.50874i	0.679631	+	0.182106i	0.0975415	+	0.995231i	$0.468902\pi$
$614$	22.0561	+	12.7341i	0.890114	+	0.513907i
$615$	−0.565859	+	0.145417i	−0.0228176	+	0.00586380i
$616$	−7.55706	+	2.37276i	−0.304483	+	0.0956014i
$617$	15.3928	+	15.3928i	0.619689	+	0.619689i	0.945452	−	0.325762i	$-0.105621\pi$
$617$	15.3928	+	15.3928i	0.619689	+	0.619689i	−0.325762	+	0.945452i	$0.605621\pi$
$618$	−1.64003	+	0.924574i	−0.0659718	+	0.0371918i
$619$	−5.78447	+	21.5879i	−0.232497	+	0.867692i	0.746764	+	0.665089i	$0.231607\pi$
$619$	−5.78447	+	21.5879i	−0.232497	+	0.867692i	−0.979261	+	0.202603i	$0.935060\pi$
$620$	−0.248045	+	0.143209i	−0.00996172	+	0.00575140i
$621$	−3.25836	+	0.766457i	−0.130754	+	0.0307569i
$622$	17.5088	+	17.5088i	0.702040	+	0.702040i
$623$	−1.66996	−	39.3315i	−0.0669056	−	1.57578i
$624$	−4.14197	−	29.8618i	−0.165811	−	1.19543i
$625$	12.4328	−	21.5342i	0.497311	−	0.861369i
$626$	−7.54754	+	28.1678i	−0.301660	+	1.12581i
$627$	8.84807	+	9.03147i	0.353358	+	0.360682i
$628$	−5.66599	−	3.27126i	−0.226098	−	0.130537i
$629$	15.6804	+	15.6804i	0.625219	+	0.625219i
$630$	0.338253	+	1.16005i	0.0134763	+	0.0462176i
$631$	5.42393	+	5.42393i	0.215923	+	0.215923i	0.806778	−	0.590855i	$-0.201209\pi$
$631$	5.42393	+	5.42393i	0.215923	+	0.215923i	−0.590855	+	0.806778i	$0.701209\pi$
$632$	1.62301	+	6.05715i	0.0645599	+	0.240941i
$633$	25.7417	−	25.2190i	1.02314	−	1.00236i
$634$	−27.7669	+	16.0312i	−1.10276	+	0.636681i
$635$	0.177161	+	0.661174i	0.00703042	+	0.0262379i
$636$	−0.419890	−	1.63391i	−0.0166497	−	0.0647886i
$637$	−21.4844	−	13.2447i	−0.851242	−	0.524774i
$638$			9.88157i			0.391215i
$639$	−7.96774	+	7.64736i	−0.315199	+	0.302525i
$640$	0.646067	+	1.11902i	0.0255381	+	0.0442332i
$641$	−4.93904	−	8.55467i	−0.195080	−	0.337889i	0.751846	−	0.659338i	$-0.229163\pi$
$641$	−4.93904	−	8.55467i	−0.195080	−	0.337889i	−0.946927	+	0.321449i	$0.895830\pi$
$642$	−22.2023	+	12.5166i	−0.876254	+	0.493992i
$643$	22.5445	−	22.5445i	0.889068	−	0.889068i	−0.105365	−	0.994434i	$-0.533601\pi$
$643$	22.5445	−	22.5445i	0.889068	−	0.889068i	0.994434	+	0.105365i	$0.0336012\pi$
$644$	0.216841	−	0.972583i	0.00854474	−	0.0383251i
$645$	−1.32271	−	0.781864i	−0.0520815	−	0.0307858i
$646$	30.8633	−	53.4567i	1.21430	−	2.10323i
$647$	−16.1701	−	28.0075i	−0.635713	−	1.10109i	−0.986364	−	0.164581i	$-0.947373\pi$
$647$	−16.1701	−	28.0075i	−0.635713	−	1.10109i	0.350650	−	0.936507i	$-0.385961\pi$
$648$	15.0625	−	13.8746i	0.591712	−	0.545046i
$649$	5.41957	+	3.12899i	0.212737	+	0.122824i
$650$	22.6465	−	18.0038i	0.888269	−	0.706169i
$651$	22.6904	−	6.86945i	0.889307	−	0.269235i
$652$	5.14397	−	5.14397i	0.201453	−	0.201453i
$653$	−20.4441	−	11.8034i	−0.800038	−	0.461902i	0.0434465	−	0.999056i	$-0.486166\pi$
$653$	−20.4441	−	11.8034i	−0.800038	−	0.461902i	−0.843484	+	0.537154i	$0.819500\pi$
$654$	9.63131	−	9.43572i	0.376614	−	0.368966i
$655$	−1.25492	−	0.336256i	−0.0490339	−	0.0131386i
$656$	−16.6102	+	4.45069i	−0.648519	+	0.173770i
$657$	23.0190	+	6.67693i	0.898058	+	0.260492i
$658$	−16.6367	−	52.9866i	−0.648567	−	2.06563i
$659$			29.2489i			1.13938i	0.821861	+	0.569689i	$0.192936\pi$
$659$			29.2489i			1.13938i	−0.821861	+	0.569689i	$0.807064\pi$
$660$	−0.0339024	+	0.121525i	−0.00131965	+	0.00473037i
$661$	−3.24002	+	12.0919i	−0.126022	+	0.470320i	−0.999874	−	0.0158715i	$-0.994948\pi$
$661$	−3.24002	+	12.0919i	−0.126022	+	0.470320i	0.873852	+	0.486192i	$0.161614\pi$
$662$	−25.9094	−	44.8764i	−1.00700	−	1.74417i
$663$	40.0410	+	16.2616i	1.55506	+	0.631547i
$664$	28.0447			1.08835
$665$	−0.416396	−	1.32619i	−0.0161471	−	0.0514273i
$666$	7.45136	+	13.5402i	0.288734	+	0.524672i
$667$	2.60622	+	1.50470i	0.100913	+	0.0582623i
$668$	−1.68595	+	6.29205i	−0.0652314	+	0.243447i
$669$	−0.357030	+	34.8063i	−0.0138036	+	1.34569i
$670$	0.0971230	−	0.0260240i	0.00375219	−	0.00100540i
$671$	13.5571	−	13.5571i	0.523366	−	0.523366i
$672$	4.26268	+	14.0800i	0.164436	+	0.543147i
$673$		−	36.4281i		−	1.40420i	−0.712078	−	0.702101i	$-0.752246\pi$
$673$		−	36.4281i		−	1.40420i	0.712078	−	0.702101i	$-0.247754\pi$
$674$	13.8057	+	51.5236i	0.531776	+	1.98461i
$675$	24.8321	+	7.47981i	0.955788	+	0.287898i
$676$	7.26961	−	2.21824i	0.279600	−	0.0853170i
$677$	5.28256	+	3.04989i	0.203025	+	0.117217i	0.598066	−	0.801447i	$-0.295936\pi$
$677$	5.28256	+	3.04989i	0.203025	+	0.117217i	−0.395041	+	0.918664i	$0.629269\pi$
$678$	31.1518	+	18.4141i	1.19638	+	0.707188i
$679$	−0.203863	+	0.129531i	−0.00782353	+	0.00497095i
$680$	−1.49112			−0.0571818
$681$	1.09128	+	1.93574i	0.0418180	+	0.0741777i
$682$	10.5700	+	2.83224i	0.404748	+	0.108452i
$683$	−14.7211	−	3.94452i	−0.563288	−	0.150933i	−0.0340718	−	0.999419i	$-0.510847\pi$
$683$	−14.7211	−	3.94452i	−0.563288	−	0.150933i	−0.529217	+	0.848487i	$0.677514\pi$
$684$	7.02072	−	6.73842i	0.268444	−	0.257650i
$685$	−1.05831			−0.0404359
$686$	27.4671	+	11.4933i	1.04870	+	0.438815i
$687$	4.28781	−	7.25384i	0.163590	−	0.276751i
$688$	−39.1654	−	22.6121i	−1.49317	−	0.862079i
$689$	−5.50902	+	2.39362i	−0.209877	+	0.0911897i
$690$	0.118873	+	0.121337i	0.00452542	+	0.00461922i
$691$	2.10675	+	7.86250i	0.0801445	+	0.299103i	0.994351	−	0.106146i	$-0.0338512\pi$
$691$	2.10675	+	7.86250i	0.0801445	+	0.299103i	−0.914206	+	0.405250i	$0.867185\pi$
$692$		−	0.663502i		−	0.0252226i
$693$	5.02205	−	9.15620i	0.190772	−	0.347815i
$694$	33.0346	−	33.0346i	1.25398	−	1.25398i
$695$	−0.476449	+	0.127664i	−0.0180727	+	0.00484257i
$696$	−18.4107	−	0.188850i	−0.697854	−	0.00715833i
$697$	6.38013	−	23.8110i	0.241665	−	0.901905i
$698$	−1.59688	−	0.921959i	−0.0604428	−	0.0348967i
$699$	10.8844	+	42.3544i	0.411688	+	1.60199i
$700$	−5.22265	+	5.68580i	−0.197397	+	0.214903i
$701$	2.49799			0.0943479			0.0471740	−	0.998887i	$-0.484978\pi$
$701$	2.49799			0.0943479			0.0471740	+	0.998887i	$0.484978\pi$
$702$	23.6444	+	18.6589i	0.892402	+	0.704235i
$703$	−8.88926	−	15.3967i	−0.335265	−	0.580696i
$704$	1.53031	−	5.71121i	0.0576758	−	0.215249i
$705$	2.06273	+	0.575449i	0.0776871	+	0.0216726i
$706$			27.1159i			1.02052i
$707$	3.25921	+	10.3803i	0.122575	+	0.390392i
$708$	2.45094	−	4.14635i	0.0921122	−	0.155829i
$709$	34.8874	−	9.34806i	1.31023	−	0.351074i	0.464918	−	0.885354i	$-0.346084\pi$
$709$	34.8874	−	9.34806i	1.31023	−	0.351074i	0.845308	+	0.534280i	$0.179417\pi$
$710$	0.541340	+	0.145051i	0.0203161	+	0.00544369i
$711$	−7.07370	−	4.27983i	−0.265284	−	0.160506i
$712$	29.3209	+	16.9284i	1.09885	+	0.634419i
$713$	2.35653	−	2.35653i	0.0882527	−	0.0882527i
$714$	−49.6459	−	11.6045i	−1.85795	−	0.434289i
$715$	0.446312	+	0.0509732i	0.0166911	+	0.00190629i
$716$	5.15990	+	2.97907i	0.192835	+	0.111333i
$717$	−28.4754	−	0.292090i	−1.06343	−	0.0109083i
$718$	−1.15850	−	2.00659i	−0.0432350	−	0.0748852i
$719$	24.4661	−	42.3766i	0.912433	−	1.58038i	0.101817	−	0.994803i	$-0.467534\pi$
$719$	24.4661	−	42.3766i	0.912433	−	1.58038i	0.810616	−	0.585578i	$-0.199132\pi$
$720$	−1.31712	−	0.382046i	−0.0490862	−	0.0142380i
$721$	−1.31741	−	1.21009i	−0.0490628	−	0.0450662i
$722$	−13.3936	+	13.3936i	−0.498459	+	0.498459i
$723$	1.50466	+	2.66900i	0.0559590	+	0.0992613i
$724$	1.42960	+	2.47613i	0.0531305	+	0.0920248i
$725$	−11.6581	−	20.1925i	−0.432972	−	0.749929i
$726$	−22.4835	+	12.6752i	−0.834441	+	0.470419i
$727$			13.3042i			0.493427i	0.969088	+	0.246714i	$0.0793507\pi$
$727$			13.3042i			0.493427i	−0.969088	+	0.246714i	$0.920649\pi$
$728$	19.5234	−	9.48668i	0.723585	−	0.351600i
$729$	−1.66063	+	26.9489i	−0.0615047	+	0.998107i
$730$	−0.314797	−	1.17484i	−0.0116511	−	0.0434827i
$731$	56.1441	−	32.4148i	2.07657	−	1.19891i
$732$	−10.3269	−	10.5409i	−0.381693	−	0.389605i
$733$	−11.5225	−	43.0027i	−0.425595	−	1.58834i	−0.762620	−	0.646847i	$-0.776087\pi$
$733$	−11.5225	−	43.0027i	−0.425595	−	1.58834i	0.337025	−	0.941496i	$-0.390579\pi$
$734$	−29.4739	−	29.4739i	−1.08790	−	1.08790i
$735$	−0.948736	+	0.646572i	−0.0349947	+	0.0238492i
$736$	1.46229	+	1.46229i	0.0539006	+	0.0539006i
$737$	−0.752557	−	0.434489i	−0.0277208	−	0.0160046i
$738$	8.89358	−	14.6993i	0.327377	−	0.541088i
$739$	−4.10637	+	15.3252i	−0.151055	+	0.563746i	0.848356	+	0.529427i	$0.177593\pi$
$739$	−4.10637	+	15.3252i	−0.151055	+	0.563746i	−0.999411	+	0.0343194i	$0.989074\pi$
$740$	0.0887040	−	0.153640i	0.00326082	−	0.00564791i
$741$	−27.6336	−	20.9015i	−1.01515	−	0.767837i
$742$	5.98088	−	3.80016i	0.219565	−	0.139508i
$743$	−15.9740	−	15.9740i	−0.586029	−	0.586029i	0.350524	−	0.936554i	$-0.386003\pi$
$743$	−15.9740	−	15.9740i	−0.586029	−	0.586029i	−0.936554	+	0.350524i	$0.886003\pi$
$744$	−5.47883	+	19.6393i	−0.200864	+	0.720010i
$745$	−1.19442	+	0.689600i	−0.0437603	+	0.0252650i
$746$	−9.86492	+	36.8164i	−0.361180	+	1.34794i
$747$	−26.6761	+	25.6035i	−0.976029	+	0.936783i
$748$	−3.76413	−	3.76413i	−0.137630	−	0.137630i
$749$	−17.8347	−	16.3819i	−0.651665	−	0.598581i
$750$	−0.655720	−	2.55159i	−0.0239435	−	0.0931707i
$751$	9.15304	+	5.28451i	0.333999	+	0.192835i	0.657615	−	0.753354i	$-0.271565\pi$
$751$	9.15304	+	5.28451i	0.333999	+	0.192835i	−0.323616	+	0.946189i	$0.604899\pi$
$752$	60.8832	+	16.3136i	2.22018	+	0.594896i
$753$	−12.9229	+	12.6605i	−0.470937	+	0.461374i
$754$	−3.99536	−	26.7832i	−0.145503	−	0.975385i
$755$			0.533944i			0.0194322i
$756$	−7.00722	−	3.93739i	−0.254850	−	0.143202i
$757$	13.2602			0.481948			0.240974	−	0.970532i	$-0.422533\pi$
$757$	13.2602			0.481948			0.240974	+	0.970532i	$0.422533\pi$
$758$	1.46783	−	2.54235i	0.0533139	−	0.0923423i
$759$	0.0150575	−	1.46793i	0.000546553	−	0.0532826i
$760$	1.15473	+	0.309408i	0.0418863	+	0.0112234i
$761$	−6.58285	−	24.5675i	−0.238628	−	0.890572i	−0.976480	−	0.215609i	$-0.930826\pi$
$761$	−6.58285	−	24.5675i	−0.238628	−	0.890572i	0.737852	−	0.674963i	$-0.235840\pi$
$762$	−17.3275	−	10.2425i	−0.627711	−	0.371045i
$763$	11.3563	+	5.92903i	0.411124	+	0.214645i
$764$	2.17973			0.0788599
$765$	1.41835	−	1.36132i	0.0512806	−	0.0492186i
$766$	13.6303	−	7.86944i	0.492481	−	0.284334i
$767$	−15.9544	−	6.28960i	−0.576081	−	0.227104i
$768$	−21.6042	−	6.02700i	−0.779575	−	0.217481i
$769$	27.2714	−	27.2714i	0.983434	−	0.983434i	−0.0164314	−	0.999865i	$-0.505231\pi$
$769$	27.2714	−	27.2714i	0.983434	−	0.983434i	0.999865	+	0.0164314i	$0.00523052\pi$
$770$	−0.529469	+	0.0224805i	−0.0190807	+	0.000810142i
$771$	1.02827	+	4.00127i	0.0370321	+	0.144102i
$772$	−1.97799	−	7.38196i	−0.0711895	−	0.265683i
$773$	5.03128	−	18.7770i	0.180963	−	0.675361i	−0.814496	−	0.580169i	$-0.802987\pi$
$773$	5.03128	−	18.7770i	0.180963	−	0.675361i	0.995459	−	0.0951927i	$-0.0303467\pi$
$774$	43.8739	−	10.7964i	1.57701	−	0.388070i
$775$	−24.9407	+	6.68285i	−0.895898	+	0.240055i
$776$		−	0.207726i		−	0.00745694i
$777$	−10.0441	+	10.7122i	−0.360329	+	0.384297i
$778$	−28.5470	−	28.5470i	−1.02346	−	1.02346i
$779$	−9.88159	+	17.1154i	−0.354045	+	0.613223i
$780$	0.0427538	−	0.343092i	0.00153083	−	0.0122847i
$781$	−2.42173	−	4.19457i	−0.0866565	−	0.150093i
$782$	−6.92279	+	1.85495i	−0.247558	+	0.0663331i
$783$	17.6846	−	16.6284i	0.631997	−	0.594251i
$784$	−27.7276	+	19.3160i	−0.990270	+	0.689859i
$785$	0.749299	+	0.749299i	0.0267436	+	0.0267436i
$786$	33.2799	−	18.7617i	1.18706	−	0.669208i
$787$	2.05155	−	7.65650i	0.0731300	−	0.272925i	−0.919673	−	0.392686i	$-0.871546\pi$
$787$	2.05155	−	7.65650i	0.0731300	−	0.272925i	0.992803	+	0.119761i	$0.0382127\pi$
$788$	7.65570	+	2.05134i	0.272723	+	0.0730759i
$789$	−4.71519	+	16.9019i	−0.167865	+	0.601725i
$790$			0.419553i			0.0149270i
$791$	−7.48208	+	33.5589i	−0.266032	+	1.19322i
$792$	4.33018	+	7.86856i	0.153866	+	0.279597i
$793$	−31.2639	+	42.2268i	−1.11021	+	1.49952i
$794$	22.6701	−	13.0886i	0.804531	−	0.464496i
$795$	−0.00280261	+	0.273223i	−9.93985e−5	+	0.00969021i
$796$	0.745682	−	1.29156i	0.0264300	−	0.0457781i
$797$	−12.1647			−0.430895			−0.215447	−	0.976515i	$-0.569121\pi$
$797$	−12.1647			−0.430895			−0.215447	+	0.976515i	$0.569121\pi$
$798$	36.0380	+	19.2881i	1.27573	+	0.682793i
$799$	−63.8912	+	63.8912i	−2.26031	+	2.26031i
$800$	−4.14689	−	15.4764i	−0.146615	−	0.547173i
$801$	−43.3448	+	10.6662i	−1.53151	+	0.376873i
$802$	4.78285	+	8.28415i	0.168888	+	0.292523i
$803$	−5.25575	+	9.10322i	−0.185471	+	0.321246i
$804$	−0.340336	+	0.575759i	−0.0120027	+	0.0203054i
$805$	−0.0746950	+	0.143068i	−0.00263265	+	0.00504249i
$806$	−29.7944	−	3.40280i	−1.04946	−	0.119859i
$807$	−7.89626	+	28.3047i	−0.277961	+	0.996372i
$808$	−9.03826	−	2.42180i	−0.317965	−	0.0851985i
$809$	39.8761	−	23.0225i	1.40197	−	0.809428i	0.407376	−	0.913261i	$-0.366444\pi$
$809$	39.8761	−	23.0225i	1.40197	−	0.809428i	0.994595	+	0.103833i	$0.0331106\pi$
$810$	1.21369	−	0.635828i	0.0426446	−	0.0223407i
$811$	−24.2895	+	24.2895i	−0.852918	+	0.852918i	−0.990492	−	0.137574i	$-0.956070\pi$
$811$	−24.2895	+	24.2895i	−0.852918	+	0.852918i	0.137574	+	0.990492i	$0.456070\pi$
$812$	2.16472	+	6.89446i	0.0759668	+	0.241948i
$813$	−11.9580	+	20.2298i	−0.419386	+	0.709490i
$814$	−6.54712	+	1.75430i	−0.229477	+	0.0614881i
$815$	−1.02040	+	0.589126i	−0.0357429	+	0.0206362i
$816$	41.3333	−	40.4939i	1.44695	−	1.41757i
$817$	−50.2043	+	13.4522i	−1.75643	+	0.470633i
$818$	25.5084			0.891879
$819$	−9.90976	+	26.8477i	−0.346275	+	0.938133i
$820$	−0.197212			−0.00688696
$821$	38.0070	−	10.1840i	1.32646	−	0.355423i	0.475063	−	0.879952i	$-0.342425\pi$
$821$	38.0070	−	10.1840i	1.32646	−	0.355423i	0.851392	+	0.524529i	$0.175759\pi$
$822$	22.2302	−	21.7788i	0.775369	−	0.759623i
$823$	45.2324	−	26.1150i	1.57670	−	0.910310i	0.581389	−	0.813626i	$-0.302509\pi$
$823$	45.2324	−	26.1150i	1.57670	−	0.910310i	0.995315	−	0.0966847i	$-0.0308239\pi$
$824$	1.48602	−	0.398179i	0.0517681	−	0.0138712i
$825$	−5.78766	+	9.79120i	−0.201500	+	0.340886i
$826$	19.7467	+	4.40260i	0.687074	+	0.153186i
$827$	35.1752	−	35.1752i	1.22316	−	1.22316i	0.256658	−	0.966502i	$-0.417379\pi$
$827$	35.1752	−	35.1752i	1.22316	−	1.22316i	0.966502	−	0.256658i	$-0.0826213\pi$
$828$	−1.12964	−	0.0231774i	−0.0392579	−	0.000805469i
$829$	−16.8849	+	9.74849i	−0.586436	+	0.338579i	−0.763687	−	0.645587i	$-0.776613\pi$
$829$	−16.8849	+	9.74849i	−0.586436	+	0.338579i	0.177251	+	0.984166i	$0.443280\pi$
$830$	1.81241	+	0.485635i	0.0629098	+	0.0168566i
$831$	5.67310	−	20.3356i	0.196798	−	0.705435i
$832$	−1.83860	+	16.0985i	−0.0637421	+	0.558115i
$833$	−4.10615	−	48.2676i	−0.142270	−	1.67237i
$834$	7.38082	−	12.4864i	0.255577	−	0.432369i
$835$	0.527526	−	0.913702i	0.0182558	−	0.0316200i
$836$	2.13390	+	3.69602i	0.0738023	+	0.127829i
$837$	−12.7182	−	23.6828i	−0.439607	−	0.818596i
$838$	4.33330	+	16.1721i	0.149692	+	0.558656i
$839$	−38.5864	+	38.5864i	−1.33215	+	1.33215i	−0.428704	+	0.903445i	$0.641030\pi$
$839$	−38.5864	+	38.5864i	−1.33215	+	1.33215i	−0.903445	+	0.428704i	$0.858970\pi$
$840$	−0.0317653	−	0.986900i	−0.00109601	−	0.0340513i
$841$	7.17591			0.247445
$842$	19.3563	−	33.5262i	0.667063	−	1.15539i
$843$	−0.388543	+	37.8785i	−0.0133821	+	1.30460i
$844$	10.5345	−	6.08208i	0.362611	−	0.209354i
$845$	−1.23030	+	0.0422967i	−0.0423237	+	0.00145505i
$846$	−55.1707	+	30.3612i	−1.89681	+	1.04384i
$847$	−18.0606	−	16.5894i	−0.620569	−	0.570018i
$848$			8.04221i			0.276171i
$849$	−10.6474	+	38.1665i	−0.365420	+	1.30987i
$850$	53.6363	+	14.3718i	1.83971	+	0.492949i
$851$	−0.534266	+	1.99391i	−0.0183144	+	0.0683503i
$852$	−3.24737	+	1.83072i	−0.111253	+	0.0627194i
$853$	11.0510	+	11.0510i	0.378379	+	0.378379i	0.870517	−	0.492138i	$-0.163784\pi$
$853$	11.0510	+	11.0510i	0.378379	+	0.378379i	−0.492138	+	0.870517i	$0.663784\pi$
$854$	28.6867	−	54.9455i	0.981639	−	1.88020i
$855$	−1.38085	+	0.759901i	−0.0472241	+	0.0259881i
$856$	20.1174	−	5.39043i	0.687597	−	0.184241i
$857$	−11.9417	−	20.6837i	−0.407922	−	0.706542i	0.586735	−	0.809779i	$-0.300413\pi$
$857$	−11.9417	−	20.6837i	−0.407922	−	0.706542i	−0.994657	+	0.103238i	$0.967080\pi$
$858$	−10.4239	+	8.11389i	−0.355868	+	0.277004i
$859$	1.84620	−	3.19772i	0.0629916	−	0.109105i	−0.832810	−	0.553559i	$-0.813269\pi$
$859$	1.84620	−	3.19772i	0.0629916	−	0.109105i	0.895801	+	0.444455i	$0.146603\pi$
$860$	−0.366741	−	0.366741i	−0.0125058	−	0.0125058i
$861$	15.8953	+	3.71546i	0.541709	+	0.126623i
$862$		−	18.5166i		−	0.630676i
$863$	−28.9443	+	7.75561i	−0.985276	+	0.264004i	−0.715265	−	0.698853i	$-0.753694\pi$
$863$	−28.9443	+	7.75561i	−0.985276	+	0.264004i	−0.270011	+	0.962857i	$0.587027\pi$
$864$	14.6958	−	7.89200i	0.499961	−	0.268491i
$865$	−0.0278140	+	0.103803i	−0.000945705	+	0.00352942i
$866$	−11.1269	−	41.5261i	−0.378107	−	1.41111i
$867$	13.3169	+	51.8197i	0.452266	+	1.75989i
$868$	7.99526	−	0.339468i	0.271377	−	0.0115223i
$869$	2.56391	−	2.56391i	0.0869747	−	0.0869747i
$870$	−1.18653	−	0.331012i	−0.0402273	−	0.0112224i
$871$	2.21542	+	0.873368i	0.0750665	+	0.0295929i
$872$	−9.54164	+	5.50887i	−0.323121	+	0.186554i
$873$	0.189644	+	0.197589i	0.00641848	+	0.00668738i
$874$	5.74593			0.194359
$875$	2.11273	−	1.34240i	0.0714235	−	0.0453814i
$876$	6.96460	+	4.11684i	0.235312	+	0.139095i
$877$	13.1910	+	49.2294i	0.445427	+	1.66236i	0.714806	+	0.699323i	$0.246515\pi$
$877$	13.1910	+	49.2294i	0.445427	+	1.66236i	−0.269379	+	0.963034i	$0.586818\pi$
$878$	−26.6748	−	7.14749i	−0.900230	−	0.241216i
$879$	0.151080	−	14.7285i	0.00509580	−	0.496781i
$880$	0.300727	−	0.520875i	0.0101375	−	0.0175587i
$881$	−41.2729			−1.39052			−0.695260	−	0.718758i	$-0.744711\pi$
$881$	−41.2729			−1.39052			−0.695260	+	0.718758i	$0.744711\pi$
$882$	6.62288	−	33.1054i	0.223004	−	1.11472i
$883$		−	33.4279i		−	1.12494i	−0.826819	−	0.562468i	$-0.809852\pi$
$883$		−	33.4279i		−	1.12494i	0.826819	−	0.562468i	$-0.190148\pi$
$884$	11.7243	+	8.68043i	0.394331	+	0.291954i
$885$	−0.557260	+	0.545943i	−0.0187321	+	0.0183517i
$886$	−42.9849	−	11.5178i	−1.44411	−	0.386947i
$887$	−35.7689	−	20.6512i	−1.20100	−	0.693399i	−0.240224	−	0.970717i	$-0.577221\pi$
$887$	−35.7689	−	20.6512i	−1.20100	−	0.693399i	−0.960778	+	0.277318i	$0.910554\pi$
$888$	−3.14336	−	12.2317i	−0.105484	−	0.410468i
$889$	4.16176	−	18.6664i	0.139581	−	0.626052i
$890$	1.60175	+	1.60175i	0.0536906	+	0.0536906i
$891$	−11.3025	−	3.53132i	−0.378647	−	0.118304i
$892$	−3.04099	+	11.3491i	−0.101820	+	0.379997i
$893$	62.7350	−	36.2201i	2.09935	−	1.21206i
$894$	10.8982	−	39.0652i	0.364489	−	1.30654i
$895$	−0.682372	−	0.682372i	−0.0228092	−	0.0228092i
$896$	−1.53146	−	36.0696i	−0.0511626	−	1.20500i
$897$	0.552710	+	3.98480i	0.0184545	+	0.133049i
$898$	23.5369	−	40.7672i	0.785438	−	1.36042i
$899$	−6.25518	+	23.3446i	−0.208622	+	0.778587i
$900$	7.48989	+	4.53164i	0.249663	+	0.151055i
$901$	−9.98409	−	5.76431i	−0.332618	−	0.192037i
$902$	5.32786	+	5.32786i	0.177398	+	0.177398i
$903$	22.6499	+	36.4686i	0.753741	+	1.21360i
$904$	−20.9094	−	20.9094i	−0.695436	−	0.695436i
$905$	−0.119857	−	0.447314i	−0.00398420	−	0.0148692i
$906$	−10.9880	−	11.2157i	−0.365051	−	0.372617i
$907$	−2.36637	+	1.36623i	−0.0785741	+	0.0453648i	−0.538772	−	0.842451i	$-0.681112\pi$
$907$	−2.36637	+	1.36623i	−0.0785741	+	0.0453648i	0.460198	+	0.887816i	$0.347778\pi$
$908$	0.194138	+	0.724532i	0.00644268	+	0.0240444i
$909$	10.8082	−	5.94789i	0.358485	−	0.197279i
$910$	1.42599	−	0.275009i	0.0472712	−	0.00911646i
$911$			36.8306i			1.22025i	0.792304	+	0.610127i	$0.208882\pi$
$911$			36.8306i			1.22025i	−0.792304	+	0.610127i	$0.791118\pi$
$912$	−40.4111	+	22.7819i	−1.33815	+	0.754385i
$913$	−8.10801	−	14.0435i	−0.268336	−	0.464771i
$914$	5.26678	+	9.12232i	0.174209	+	0.301740i
$915$	1.17374	+	2.08201i	0.0388027	+	0.0688291i
$916$	2.01124	−	2.01124i	0.0664532	−	0.0664532i
$917$	26.7331	+	24.5555i	0.882806	+	0.810894i
$918$	−1.77865	+	57.7831i	−0.0587043	+	1.90713i
$919$	15.0542	−	26.0746i	0.496592	−	0.860122i	−0.503401	−	0.864053i	$-0.667918\pi$
$919$	15.0542	−	26.0746i	0.496592	−	0.860122i	0.999992	+	0.00393111i	$0.00125131\pi$
$920$	−0.0694018	−	0.120207i	−0.00228811	−	0.00396312i
$921$	27.4369	+	0.281438i	0.904078	+	0.00927369i
$922$	−29.3345	−	16.9363i	−0.966081	−	0.557767i
$923$	8.25987	+	10.3899i	0.271877	+	0.341986i
$924$	2.41111	−	2.57149i	0.0793198	−	0.0845957i
$925$	11.3090	−	11.3090i	0.371838	−	0.371838i
$926$	−16.6588	−	9.61796i	−0.547442	−	0.316066i
$927$	−1.04999	+	1.73542i	−0.0344861	+	0.0569985i
$928$	−14.4860	−	3.88150i	−0.475525	−	0.127417i
$929$	−51.6619	+	13.8428i	−1.69497	+	0.454166i	−0.971665	−	0.236362i	$-0.924045\pi$
$929$	−51.6619	+	13.8428i	−1.69497	+	0.454166i	−0.723306	+	0.690528i	$0.757378\pi$
$930$	−0.694156	+	1.17433i	−0.0227623	+	0.0385078i
$931$	−6.83574	+	38.2306i	−0.224032	+	1.25296i
$932$			14.7613i			0.483522i
$933$	25.6955	+	7.16837i	0.841233	+	0.234682i
$934$	0.309133	−	1.15370i	0.0101152	−	0.0377503i
$935$	0.431097	+	0.746682i	0.0140984	+	0.0244191i
$936$	−14.9180	−	19.5763i	−0.487611	−	0.639870i
$937$	35.8214			1.17023			0.585116	−	0.810949i	$-0.301049\pi$
$937$	35.8214			1.17023			0.585116	+	0.810949i	$0.301049\pi$
$938$	−2.74200	−	0.611341i	−0.0895296	−	0.0199610i
$939$	7.81969	+	30.4286i	0.255186	+	0.992998i
$940$	0.626019	+	0.361432i	0.0204185	+	0.0117886i
$941$	0.0426701	−	0.159247i	0.00139100	−	0.00519130i	−0.965227	−	0.261414i	$-0.915811\pi$
$941$	0.0426701	−	0.159247i	0.00139100	−	0.00519130i	0.966618	+	0.256222i	$0.0824780\pi$
$942$	−31.1591	−	0.319618i	−1.01522	−	0.0104137i
$943$	2.21649	−	0.593907i	0.0721789	−	0.0193403i
$944$	−16.2362	+	16.2362i	−0.528443	+	0.528443i
$945$	0.931208	+	0.909739i	0.0302922	+	0.0295938i
$946$			19.8156i			0.644262i
$947$	4.47821	+	16.7129i	0.145522	+	0.543097i	0.999732	+	0.0231675i	$0.00737509\pi$
$947$	4.47821	+	16.7129i	0.145522	+	0.543097i	−0.854209	+	0.519929i	$0.825958\pi$
$948$	−1.95302	−	1.99350i	−0.0634310	−	0.0647458i
$949$	10.5646	−	26.7985i	0.342941	−	0.869917i
$950$	−38.5540	−	22.2592i	−1.25086	−	0.722182i
$951$	−17.5773	+	29.7361i	−0.569981	+	0.964258i
$952$	36.9312	+	19.2815i	1.19695	+	0.624918i
$953$	15.9556			0.516854			0.258427	−	0.966031i	$-0.416796\pi$
$953$	15.9556			0.516854			0.258427	+	0.966031i	$0.416796\pi$
$954$	−5.56374	−	5.79683i	−0.180133	−	0.187679i
$955$	−0.341014	−	0.0913744i	−0.0110349	−	0.00295680i
$956$	−9.28485	−	2.48787i	−0.300294	−	0.0804634i
$957$	5.22814	+	9.27380i	0.169002	+	0.299779i
$958$	1.56496			0.0505617
$959$	26.2116	+	13.6849i	0.846418	+	0.441909i
$960$	0.634514	+	0.375067i	0.0204788	+	0.0121052i
$961$	−3.66851	−	2.11801i	−0.118339	−	0.0683231i
$962$	17.0361	−	7.40204i	0.549267	−	0.238651i
$963$	−14.2144	+	23.4936i	−0.458053	+	0.757069i
$964$	0.267678	+	0.998987i	0.00862132	+	0.0321752i
$965$			1.23781i			0.0398465i
$966$	−1.37518	−	4.54235i	−0.0442458	−	0.146148i
$967$	−22.4474	+	22.4474i	−0.721859	+	0.721859i	−0.968984	−	0.247125i	$-0.920514\pi$
$967$	−22.4474	+	22.4474i	−0.721859	+	0.721859i	0.247125	+	0.968984i	$0.420514\pi$
$968$	20.3722	−	5.45871i	0.654786	−	0.175449i
$969$	0.682111	−	66.4980i	0.0219126	−	2.13622i
$970$	0.00359708	−	0.0134245i	0.000115495	−	0.000431034i
$971$	26.2698	+	15.1669i	0.843039	+	0.486729i	0.858296	−	0.513155i	$-0.171523\pi$
$971$	26.2698	+	15.1669i	0.843039	+	0.486729i	−0.0152571	+	0.999884i	$0.504857\pi$
$972$	−2.80703	+	8.67082i	−0.0900356	+	0.278117i
$973$	13.4512	+	2.99901i	0.431227	+	0.0961438i
$974$	22.1251			0.708934
$975$	11.7281	−	28.8783i	0.375601	−	0.924846i
$976$	35.1736	+	60.9224i	1.12588	+	1.95008i
$977$	−6.79655	+	25.3651i	−0.217441	+	0.811501i	0.767852	+	0.640627i	$0.221326\pi$
$977$	−6.79655	+	25.3651i	−0.217441	+	0.811501i	−0.985293	+	0.170874i	$0.945341\pi$
$978$	9.31031	−	33.3735i	0.297711	−	1.06717i
$979$		−	19.5767i		−	0.625673i
$980$	−0.364491	+	0.131674i	−0.0116432	+	0.00420617i
$981$	4.04667	−	13.9511i	0.129200	−	0.445424i
$982$	23.8142	−	6.38100i	0.759942	−	0.203626i
$983$	24.2959	+	6.51008i	0.774920	+	0.207639i	0.624544	−	0.780990i	$-0.285285\pi$
$983$	24.2959	+	6.51008i	0.774920	+	0.207639i	0.150376	+	0.988629i	$0.451951\pi$
$984$	−10.0283	+	9.82468i	−0.319691	+	0.313199i
$985$	−1.11172	−	0.641854i	−0.0354225	−	0.0204512i
$986$	36.7517	−	36.7517i	1.17041	−	1.17041i
$987$	−43.6476	−	40.9255i	−1.38932	−	1.30267i
$988$	−7.27813	−	9.15495i	−0.231548	−	0.291258i
$989$	5.22628	+	3.01740i	0.166186	+	0.0959476i
$990$	0.143586	+	0.583495i	0.00456346	+	0.0185447i
$991$	−22.9281	−	39.7127i	−0.728337	−	1.26152i	−0.957586	−	0.288148i	$-0.906960\pi$
$991$	−22.9281	−	39.7127i	−0.728337	−	1.26152i	0.229249	−	0.973368i	$-0.426373\pi$
$992$	−8.30387	+	14.3827i	−0.263648	+	0.456652i
$993$	−48.0590	−	28.4081i	−1.52511	−	0.901503i
$994$	−11.5320	−	10.5926i	−0.365771	−	0.335976i
$995$	−0.170802	+	0.170802i	−0.00541480	+	0.00541480i
$996$	−10.8723	+	6.12928i	−0.344501	+	0.194214i
$997$	1.17694	+	2.03853i	0.0372742	+	0.0645608i	0.884061	−	0.467372i	$-0.154799\pi$
$997$	1.17694	+	2.03853i	0.0372742	+	0.0645608i	−0.846786	+	0.531933i	$0.821466\pi$
$998$	20.5852	+	35.6546i	0.651613	+	1.12863i
$999$	14.1569	+	8.76503i	0.447905	+	0.277313i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.e.44.20	yes	112
3.2	odd	2	inner	273.2.cd.e.44.9	✓	112
7.4	even	3	inner	273.2.cd.e.200.9	yes	112
13.8	odd	4	inner	273.2.cd.e.86.20	yes	112
21.11	odd	6	inner	273.2.cd.e.200.20	yes	112
39.8	even	4	inner	273.2.cd.e.86.9	yes	112
91.60	odd	12	inner	273.2.cd.e.242.9	yes	112
273.242	even	12	inner	273.2.cd.e.242.20	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.e.44.9	✓	112	3.2	odd	2	inner
273.2.cd.e.44.20	yes	112	1.1	even	1	trivial
273.2.cd.e.86.9	yes	112	39.8	even	4	inner
273.2.cd.e.86.20	yes	112	13.8	odd	4	inner
273.2.cd.e.200.9	yes	112	7.4	even	3	inner
273.2.cd.e.200.20	yes	112	21.11	odd	6	inner
273.2.cd.e.242.9	yes	112	91.60	odd	12	inner
273.2.cd.e.242.20	yes	112	273.242	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.55291 - 0.416100i) q^{2} +(1.23724 - 1.21212i) q^{3} +(0.506326 - 0.292327i) q^{4} +(-0.0914679 + 0.0245087i) q^{5} +(1.41696 - 2.39712i) q^{6} +(2.58235 + 0.575745i) q^{7} +(-1.60897 + 1.60897i) q^{8} +(0.0615393 - 2.99937i) q^{9} +O(q^{10})\)	\(q+(1.55291 - 0.416100i) q^{2} +(1.23724 - 1.21212i) q^{3} +(0.506326 - 0.292327i) q^{4} +(-0.0914679 + 0.0245087i) q^{5} +(1.41696 - 2.39712i) q^{6} +(2.58235 + 0.575745i) q^{7} +(-1.60897 + 1.60897i) q^{8} +(0.0615393 - 2.99937i) q^{9} +(-0.131843 + 0.0761195i) q^{10} +(1.27087 + 0.340528i) q^{11} +(0.272113 - 0.975407i) q^{12} +(-3.58226 - 0.409129i) q^{13} +(4.24971 - 0.180437i) q^{14} +(-0.0834605 + 0.141193i) q^{15} +(-2.41374 + 4.18073i) q^{16} +(-3.46014 - 5.99314i) q^{17} +(-1.15247 - 4.68334i) q^{18} +(1.43596 + 5.35909i) q^{19} +(-0.0391480 + 0.0391480i) q^{20} +(3.89286 - 2.41777i) q^{21} +2.11523 q^{22} +(0.322094 - 0.557883i) q^{23} +(-0.0404248 + 3.94095i) q^{24} +(-4.32236 + 2.49552i) q^{25} +(-5.73316 + 0.855241i) q^{26} +(-3.55945 - 3.78554i) q^{27} +(1.47582 - 0.463376i) q^{28} +4.67163i q^{29} +(-0.0708558 + 0.253987i) q^{30} +(4.99711 + 1.33897i) q^{31} +(-0.830867 + 3.10084i) q^{32} +(1.98513 - 1.11913i) q^{33} +(-7.86701 - 7.86701i) q^{34} +(-0.250313 + 0.0106279i) q^{35} +(-0.845639 - 1.53665i) q^{36} +(-3.09523 + 0.829364i) q^{37} +(4.45983 + 7.72465i) q^{38} +(-4.92804 + 3.83593i) q^{39} +(0.107735 - 0.186603i) q^{40} +(2.51881 + 2.51881i) q^{41} +(5.03921 - 5.37439i) q^{42} +9.36807i q^{43} +(0.743019 - 0.199091i) q^{44} +(0.0678819 + 0.275854i) q^{45} +(0.268046 - 1.00036i) q^{46} +(-3.37931 - 12.6118i) q^{47} +(2.08115 + 8.09832i) q^{48} +(6.33704 + 2.97355i) q^{49} +(-5.67384 + 5.67384i) q^{50} +(-11.5454 - 3.22087i) q^{51} +(-1.93339 + 0.840041i) q^{52} +(1.44273 - 0.832960i) q^{53} +(-7.10265 - 4.39750i) q^{54} -0.124589 q^{55} +(-5.08128 + 3.22857i) q^{56} +(8.27248 + 4.88993i) q^{57} +(1.94386 + 7.25459i) q^{58} +(4.59432 + 1.23105i) q^{59} +(-0.000983578 + 0.0958875i) q^{60} +(7.28610 - 12.6199i) q^{61} +8.31719 q^{62} +(1.88579 - 7.70998i) q^{63} -4.49394i q^{64} +(0.337689 - 0.0503746i) q^{65} +(2.61705 - 2.56391i) q^{66} +(-0.637963 - 0.170942i) q^{67} +(-3.50392 - 2.02299i) q^{68} +(-0.277712 - 1.08065i) q^{69} +(-0.384290 + 0.120659i) q^{70} +(-2.60306 - 2.60306i) q^{71} +(4.72689 + 4.92492i) q^{72} +(-2.06778 + 7.71706i) q^{73} +(-4.46150 + 2.57585i) q^{74} +(-2.32295 + 8.32677i) q^{75} +(2.29367 + 2.29367i) q^{76} +(3.08576 + 1.61106i) q^{77} +(-6.05665 + 8.00740i) q^{78} +(1.37794 - 2.38667i) q^{79} +(0.118316 - 0.441560i) q^{80} +(-8.99243 - 0.369158i) q^{81} +(4.95954 + 2.86339i) q^{82} +(-8.71510 - 8.71510i) q^{83} +(1.26428 - 2.36217i) q^{84} +(0.463376 + 0.463376i) q^{85} +(3.89805 + 14.5477i) q^{86} +(5.66256 + 5.77994i) q^{87} +(-2.59269 + 1.49689i) q^{88} +(-3.85105 - 14.3723i) q^{89} +(0.220197 + 0.400130i) q^{90} +(-9.01510 - 3.11898i) q^{91} -0.376627i q^{92} +(7.80563 - 4.40046i) q^{93} +(-10.4955 - 18.1788i) q^{94} +(-0.262689 - 0.454991i) q^{95} +(2.73060 + 4.84360i) q^{96} +(-0.0645525 + 0.0645525i) q^{97} +(11.0781 + 1.98080i) q^{98} +(1.09958 - 3.79085i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Introduction

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