LMFDB - Embedded newform 588.2.x.a.55.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.9
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.782021 + 1.17832i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.776887 - 1.84295i) q^{4} +(1.10901 - 2.30289i) q^{5} +(1.21583 - 0.722326i) q^{6} +(-0.953739 - 2.46787i) q^{7} +(2.77913 + 0.525799i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.782021 + 1.17832i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.776887 - 1.84295i) q^{4} +(1.10901 - 2.30289i) q^{5} +(1.21583 - 0.722326i) q^{6} +(-0.953739 - 2.46787i) q^{7} +(2.77913 + 0.525799i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.84628 + 3.10769i) q^{10} +(-0.204416 - 0.163016i) q^{11} +(-0.0996732 + 1.99751i) q^{12} +(-1.20528 - 0.961175i) q^{13} +(3.65379 + 0.806114i) q^{14} +(-1.99837 + 1.59365i) q^{15} +(-2.79289 + 2.86352i) q^{16} +(0.522426 + 0.119240i) q^{17} +(-1.40883 + 0.123263i) q^{18} -2.45782 q^{19} +(-5.10568 - 0.254766i) q^{20} +(-0.211480 + 2.63729i) q^{21} +(0.351943 - 0.113386i) q^{22} +(-5.87248 + 1.34035i) q^{23} +(-2.27577 - 1.67955i) q^{24} +(-0.955949 - 1.19872i) q^{25} +(2.07513 - 0.668544i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-3.80720 + 3.67494i) q^{28} +(1.08398 - 4.74921i) q^{29} +(-0.315063 - 3.60100i) q^{30} -6.22313 q^{31} +(-1.19005 - 5.53026i) q^{32} +(0.113442 + 0.235565i) q^{33} +(-0.549051 + 0.522337i) q^{34} +(-6.74095 - 0.540546i) q^{35} +(0.956492 - 1.75645i) q^{36} +(-2.44275 + 10.7024i) q^{37} +(1.92207 - 2.89611i) q^{38} +(0.668878 + 1.38894i) q^{39} +(4.29295 - 5.81691i) q^{40} +(4.94412 - 10.2666i) q^{41} +(-2.94219 - 2.31160i) q^{42} +(-0.805706 - 1.67307i) q^{43} +(-0.141622 + 0.503372i) q^{44} +(2.49193 - 0.568767i) q^{45} +(3.01303 - 7.96786i) q^{46} +(-1.05510 + 1.32306i) q^{47} +(3.75875 - 1.36815i) q^{48} +(-5.18077 + 4.70741i) q^{49} +(2.16005 - 0.188990i) q^{50} +(-0.418953 - 0.334104i) q^{51} +(-0.835031 + 2.96798i) q^{52} +(-0.859989 - 3.76786i) q^{53} +(1.32280 + 0.500213i) q^{54} +(-0.602108 + 0.289960i) q^{55} +(-1.35296 - 7.35999i) q^{56} +(2.21442 + 1.06641i) q^{57} +(4.74841 + 4.99126i) q^{58} +(12.3868 - 5.96515i) q^{59} +(4.48952 + 2.44481i) q^{60} +(-6.62807 - 1.51281i) q^{61} +(4.86661 - 7.33285i) q^{62} +(1.33481 - 2.28435i) q^{63} +(7.44707 + 2.92252i) q^{64} +(-3.55015 + 1.70966i) q^{65} +(-0.366285 - 0.0505453i) q^{66} -10.7668i q^{67} +(-0.186112 - 1.05544i) q^{68} +(5.87248 + 1.34035i) q^{69} +(5.90850 - 7.52029i) q^{70} +(-5.94010 + 1.35579i) q^{71} +(1.32167 + 2.50064i) q^{72} +(-2.22335 + 1.77307i) q^{73} +(-10.7006 - 11.2479i) q^{74} +(0.341174 + 1.49478i) q^{75} +(1.90945 + 4.52963i) q^{76} +(-0.207343 + 0.659946i) q^{77} +(-2.15969 - 0.298026i) q^{78} +8.70534i q^{79} +(3.49702 + 9.60742i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(8.23093 + 13.8545i) q^{82} +(-1.71158 - 2.14625i) q^{83} +(5.02467 - 1.65913i) q^{84} +(0.853975 - 1.07085i) q^{85} +(2.60149 + 0.358991i) q^{86} +(-3.03724 + 3.80857i) q^{87} +(-0.482383 - 0.560523i) q^{88} +(-2.44668 + 1.95116i) q^{89} +(-1.27855 + 3.38109i) q^{90} +(-1.22254 + 3.89117i) q^{91} +(7.03245 + 9.78135i) q^{92} +(5.60684 + 2.70011i) q^{93} +(-0.733876 - 2.27791i) q^{94} +(-2.72576 + 5.66010i) q^{95} +(-1.32729 + 5.49894i) q^{96} -12.1029i q^{97} +(-1.49537 - 9.78590i) q^{98} -0.261457i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

Coefficient data

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

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

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

$2$	−0.782021	+	1.17832i	−0.552972	+	0.833200i
$2$	−0.782021	+	1.17832i	−0.552972	+	0.833200i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	−0.776887	−	1.84295i	−0.388443	−	0.921473i
$5$	1.10901	−	2.30289i	0.495966	−	1.02988i	−0.491327	−	0.870975i	$-0.663488\pi$
$5$	1.10901	−	2.30289i	0.495966	−	1.02988i	0.987293	−	0.158909i	$-0.0507977\pi$
$6$	1.21583	−	0.722326i	0.496361	−	0.294888i
$7$	−0.953739	−	2.46787i	−0.360479	−	0.932767i
$7$	−0.953739	−	2.46787i	−0.360479	−	0.932767i
$8$	2.77913	+	0.525799i	0.982569	+	0.185898i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	1.84628	+	3.10769i	0.583844	+	0.982736i
$11$	−0.204416	−	0.163016i	−0.0616336	−	0.0491512i	0.592188	−	0.805799i	$-0.298264\pi$
$11$	−0.204416	−	0.163016i	−0.0616336	−	0.0491512i	−0.653822	+	0.756648i	$0.726836\pi$
$12$	−0.0996732	+	1.99751i	−0.0287732	+	0.576633i
$13$	−1.20528	−	0.961175i	−0.334283	−	0.266582i	0.441934	−	0.897048i	$-0.354293\pi$
$13$	−1.20528	−	0.961175i	−0.334283	−	0.266582i	−0.776217	+	0.630466i	$0.782864\pi$
$14$	3.65379	+	0.806114i	0.976516	+	0.215443i
$15$	−1.99837	+	1.59365i	−0.515978	+	0.411479i
$16$	−2.79289	+	2.86352i	−0.698224	+	0.715880i
$17$	0.522426	+	0.119240i	0.126707	+	0.0289200i	0.285404	−	0.958407i	$-0.407872\pi$
$17$	0.522426	+	0.119240i	0.126707	+	0.0289200i	−0.158697	+	0.987327i	$0.550729\pi$
$18$	−1.40883	+	0.123263i	−0.332065	+	0.0290535i
$19$	−2.45782			−0.563863			−0.281932	−	0.959434i	$-0.590975\pi$
$19$	−2.45782			−0.563863			−0.281932	+	0.959434i	$0.590975\pi$
$20$	−5.10568	−	0.254766i	−1.14167	−	0.0569675i
$21$	−0.211480	+	2.63729i	−0.0461487	+	0.575503i
$22$	0.351943	−	0.113386i	0.0750344	−	0.0241739i
$23$	−5.87248	+	1.34035i	−1.22450	+	0.279483i	−0.785418	−	0.618966i	$-0.787552\pi$
$23$	−5.87248	+	1.34035i	−1.22450	+	0.279483i	−0.439078	+	0.898449i	$0.644695\pi$
$24$	−2.27577	−	1.67955i	−0.464540	−	0.342836i
$25$	−0.955949	−	1.19872i	−0.191190	−	0.239744i
$26$	2.07513	−	0.668544i	0.406966	−	0.131112i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−3.80720	+	3.67494i	−0.719494	+	0.694499i
$29$	1.08398	−	4.74921i	0.201289	−	0.881907i	−0.768863	−	0.639413i	$-0.779177\pi$
$29$	1.08398	−	4.74921i	0.201289	−	0.881907i	0.970153	−	0.242494i	$-0.0779654\pi$
$30$	−0.315063	−	3.60100i	−0.0575224	−	0.657449i
$31$	−6.22313			−1.11771			−0.558853	−	0.829267i	$-0.688758\pi$
$31$	−6.22313			−1.11771			−0.558853	+	0.829267i	$0.688758\pi$
$32$	−1.19005	−	5.53026i	−0.210373	−	0.977621i
$33$	0.113442	+	0.235565i	0.0197477	+	0.0410066i
$34$	−0.549051	+	0.522337i	−0.0941615	+	0.0895801i
$35$	−6.74095	−	0.540546i	−1.13943	−	0.0913690i
$36$	0.956492	−	1.75645i	0.159415	−	0.292742i
$37$	−2.44275	+	10.7024i	−0.401586	+	1.75946i	0.219392	+	0.975637i	$0.429593\pi$
$37$	−2.44275	+	10.7024i	−0.401586	+	1.75946i	−0.620978	+	0.783828i	$0.713264\pi$
$38$	1.92207	−	2.89611i	0.311801	−	0.469811i
$39$	0.668878	+	1.38894i	0.107106	+	0.222408i
$40$	4.29295	−	5.81691i	0.678774	−	0.919734i
$41$	4.94412	−	10.2666i	0.772142	−	1.60337i	−0.0250805	−	0.999685i	$-0.507984\pi$
$41$	4.94412	−	10.2666i	0.772142	−	1.60337i	0.797223	−	0.603685i	$-0.206302\pi$
$42$	−2.94219	−	2.31160i	−0.453990	−	0.356688i
$43$	−0.805706	−	1.67307i	−0.122869	−	0.255140i	0.830457	−	0.557082i	$-0.188079\pi$
$43$	−0.805706	−	1.67307i	−0.122869	−	0.255140i	−0.953326	+	0.301942i	$0.902365\pi$
$44$	−0.141622	+	0.503372i	−0.0213503	+	0.0758861i
$45$	2.49193	−	0.568767i	0.371475	−	0.0847868i
$46$	3.01303	−	7.96786i	0.444247	−	1.17480i
$47$	−1.05510	+	1.32306i	−0.153903	+	0.192988i	−0.852805	−	0.522229i	$-0.825101\pi$
$47$	−1.05510	+	1.32306i	−0.153903	+	0.192988i	0.698903	+	0.715217i	$0.253672\pi$
$48$	3.75875	−	1.36815i	0.542528	−	0.197476i
$49$	−5.18077	+	4.70741i	−0.740109	+	0.672487i
$50$	2.16005	−	0.188990i	0.305478	−	0.0267273i
$51$	−0.418953	−	0.334104i	−0.0586651	−	0.0467839i
$52$	−0.835031	+	2.96798i	−0.115798	+	0.411585i
$53$	−0.859989	−	3.76786i	−0.118129	−	0.517555i	−0.999021	−	0.0442387i	$-0.985914\pi$
$53$	−0.859989	−	3.76786i	−0.118129	−	0.517555i	0.880892	−	0.473317i	$-0.156943\pi$
$54$	1.32280	+	0.500213i	0.180010	+	0.0680703i
$55$	−0.602108	+	0.289960i	−0.0811882	+	0.0390982i
$56$	−1.35296	−	7.35999i	−0.180796	−	0.983521i
$57$	2.21442	+	1.06641i	0.293307	+	0.141249i
$58$	4.74841	+	4.99126i	0.623497	+	0.655384i
$59$	12.3868	−	5.96515i	1.61262	−	0.776596i	0.612712	−	0.790306i	$-0.290078\pi$
$59$	12.3868	−	5.96515i	1.61262	−	0.776596i	0.999906	+	0.0137099i	$0.00436414\pi$
$60$	4.48952	+	2.44481i	0.579595	+	0.315623i
$61$	−6.62807	−	1.51281i	−0.848637	−	0.193696i	−0.223979	−	0.974594i	$-0.571905\pi$
$61$	−6.62807	−	1.51281i	−0.848637	−	0.193696i	−0.624658	+	0.780898i	$0.714762\pi$
$62$	4.86661	−	7.33285i	0.618061	−	0.931273i
$63$	1.33481	−	2.28435i	0.168171	−	0.287802i
$64$	7.44707	+	2.92252i	0.930884	+	0.365315i
$65$	−3.55015	+	1.70966i	−0.440342	+	0.212058i
$66$	−0.366285	−	0.0505453i	−0.0450866	−	0.00622170i
$67$		−	10.7668i		−	1.31538i	−0.753290	−	0.657688i	$-0.771534\pi$
$67$		−	10.7668i		−	1.31538i	0.753290	−	0.657688i	$-0.228466\pi$
$68$	−0.186112	−	1.05544i	−0.0225694	−	0.127991i
$69$	5.87248	+	1.34035i	0.706963	+	0.161360i
$70$	5.90850	−	7.52029i	0.706201	−	0.898847i
$71$	−5.94010	+	1.35579i	−0.704960	+	0.160903i	−0.559949	−	0.828527i	$-0.689179\pi$
$71$	−5.94010	+	1.35579i	−0.704960	+	0.160903i	−0.145012	+	0.989430i	$0.546322\pi$
$72$	1.32167	+	2.50064i	0.155760	+	0.294703i
$73$	−2.22335	+	1.77307i	−0.260224	+	0.207522i	−0.744907	−	0.667168i	$-0.767506\pi$
$73$	−2.22335	+	1.77307i	−0.260224	+	0.207522i	0.484683	+	0.874690i	$0.338935\pi$
$74$	−10.7006	−	11.2479i	−1.24392	−	1.30754i
$75$	0.341174	+	1.49478i	0.0393954	+	0.172603i
$76$	1.90945	+	4.52963i	0.219029	+	0.519585i
$77$	−0.207343	+	0.659946i	−0.0236290	+	0.0752078i
$78$	−2.15969	−	0.298026i	−0.244537	−	0.0337448i
$79$			8.70534i			0.979428i	0.871883	+	0.489714i	$0.162899\pi$
$79$			8.70534i			0.979428i	−0.871883	+	0.489714i	$0.837101\pi$
$80$	3.49702	+	9.60742i	0.390978	+	1.07414i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	8.23093	+	13.8545i	0.908954	+	1.52997i
$83$	−1.71158	−	2.14625i	−0.187870	−	0.235582i	0.678972	−	0.734164i	$-0.262426\pi$
$83$	−1.71158	−	2.14625i	−0.187870	−	0.235582i	−0.866843	+	0.498582i	$0.833854\pi$
$84$	5.02467	−	1.65913i	0.548236	−	0.181026i
$85$	0.853975	−	1.07085i	0.0926266	−	0.116150i
$86$	2.60149	+	0.358991i	0.280526	+	0.0387110i
$87$	−3.03724	+	3.80857i	−0.325626	+	0.408322i
$88$	−0.482383	−	0.560523i	−0.0514222	−	0.0597520i
$89$	−2.44668	+	1.95116i	−0.259347	+	0.206823i	−0.744528	−	0.667591i	$-0.767325\pi$
$89$	−2.44668	+	1.95116i	−0.259347	+	0.206823i	0.485181	+	0.874414i	$0.338754\pi$
$90$	−1.27855	+	3.38109i	−0.134771	+	0.356398i
$91$	−1.22254	+	3.89117i	−0.128157	+	0.407906i
$92$	7.03245	+	9.78135i	0.733184	+	1.01978i
$93$	5.60684	+	2.70011i	0.581402	+	0.279989i
$94$	−0.733876	−	2.27791i	−0.0756936	−	0.234949i
$95$	−2.72576	+	5.66010i	−0.279657	+	0.580714i
$96$	−1.32729	+	5.49894i	−0.135466	+	0.561233i
$97$		−	12.1029i		−	1.22887i	−0.788968	−	0.614434i	$-0.789384\pi$
$97$		−	12.1029i		−	1.22887i	0.788968	−	0.614434i	$-0.210616\pi$
$98$	−1.49537	−	9.78590i	−0.151056	−	0.988525i
$99$		−	0.261457i		−	0.0262774i
$100$	−1.46651	+	2.69303i	−0.146651	+	0.269303i
$101$	−0.145307	+	0.301734i	−0.0144586	+	0.0300236i	−0.908073	−	0.418812i	$-0.862447\pi$
$101$	−0.145307	+	0.301734i	−0.0144586	+	0.0300236i	0.893614	+	0.448835i	$0.148161\pi$
$102$	0.721312	−	0.232385i	0.0714205	−	0.0230096i
$103$	−3.15427	−	1.51902i	−0.310799	−	0.149673i	0.271981	−	0.962302i	$-0.412321\pi$
$103$	−3.15427	−	1.51902i	−0.310799	−	0.149673i	−0.582781	+	0.812629i	$0.698035\pi$
$104$	−2.84423	−	3.30496i	−0.278899	−	0.324078i
$105$	5.83885	+	3.41180i	0.569813	+	0.332958i
$106$	5.11228	+	1.93320i	0.496549	+	0.187769i
$107$	0.115987	−	0.0924964i	0.0112129	−	0.00894196i	−0.617867	−	0.786282i	$-0.712003\pi$
$107$	0.115987	−	0.0924964i	0.0112129	−	0.00894196i	0.629080	+	0.777340i	$0.283432\pi$
$108$	−1.62387	+	1.16750i	−0.156256	+	0.112343i
$109$	−7.10077	+	8.90409i	−0.680131	+	0.852857i	−0.995366	−	0.0961564i	$-0.969345\pi$
$109$	−7.10077	+	8.90409i	−0.680131	+	0.852857i	0.315235	+	0.949014i	$0.397917\pi$
$110$	0.129195	−	0.936232i	0.0123182	−	0.0892662i
$111$	6.84445	−	8.58266i	0.649646	−	0.814630i
$112$	9.73048	+	4.16145i	0.919444	+	0.393220i
$113$	0.527640	+	0.661639i	0.0496362	+	0.0622418i	0.806030	−	0.591875i	$-0.201612\pi$
$113$	0.527640	+	0.661639i	0.0496362	+	0.0622418i	−0.756394	+	0.654117i	$0.773041\pi$
$114$	−2.98830	+	1.77535i	−0.279880	+	0.166277i
$115$	−3.42597	+	15.0102i	−0.319473	+	1.39970i
$116$	−9.59467	+	1.69189i	−0.890843	+	0.157088i
$117$		−	1.54161i		−	0.142521i
$118$	−2.65784	+	19.2605i	−0.244674	+	1.77307i
$119$	−0.203988	−	1.40300i	−0.0186996	−	0.128613i
$120$	−6.39167	+	3.37821i	−0.583477	+	0.308387i
$121$	−2.43252	−	10.6576i	−0.221138	−	0.968869i
$122$	6.96587	−	6.62695i	0.630660	−	0.599976i
$123$	−8.90900	+	7.10469i	−0.803298	+	0.640609i
$124$	4.83466	+	11.4689i	0.434166	+	1.02994i
$125$	8.63897	−	1.97179i	0.772693	−	0.176362i
$126$	1.64785	+	3.35925i	0.146803	+	0.299266i
$127$	−8.33695	−	1.90285i	−0.739784	−	0.168851i	−0.164009	−	0.986459i	$-0.552443\pi$
$127$	−8.33695	−	1.90285i	−0.739784	−	0.168851i	−0.575775	+	0.817608i	$0.695300\pi$
$128$	−9.26744	+	6.48958i	−0.819133	+	0.573603i
$129$			1.85696i			0.163496i
$130$	0.761759	−	5.52021i	0.0668106	−	0.484155i
$131$	19.2511	−	9.27086i	1.68198	−	0.809999i	0.685328	−	0.728235i	$-0.259659\pi$
$131$	19.2511	−	9.27086i	1.68198	−	0.809999i	0.996652	−	0.0817637i	$-0.0260553\pi$
$132$	0.346002	−	0.392075i	0.0301156	−	0.0341257i
$133$	2.34412	+	6.06559i	0.203261	+	0.525953i
$134$	12.6868	+	8.41988i	1.09597	+	0.727367i
$135$	−2.49193	−	0.568767i	−0.214471	−	0.0489517i
$136$	1.38919	+	0.606074i	0.119122	+	0.0519704i
$137$	−12.4924	+	6.01602i	−1.06730	+	0.513983i	−0.883235	−	0.468931i	$-0.844639\pi$
$137$	−12.4924	+	6.01602i	−1.06730	+	0.513983i	−0.184063	+	0.982915i	$0.558925\pi$
$138$	−6.17177	+	5.87149i	−0.525376	+	0.499814i
$139$	6.26369	+	3.01644i	0.531280	+	0.255851i	0.680236	−	0.732993i	$-0.261877\pi$
$139$	6.26369	+	3.01644i	0.531280	+	0.255851i	−0.148957	+	0.988844i	$0.547591\pi$
$140$	4.24076	+	12.8431i	0.358409	+	1.08544i
$141$	1.52467	−	0.734242i	0.128400	−	0.0618344i
$142$	3.04773	−	8.05961i	0.255760	−	0.676347i
$143$	0.0896902	+	0.392958i	0.00750027	+	0.0328608i
$144$	−3.98013	−	0.398197i	−0.331678	−	0.0331831i
$145$	−9.73478	−	7.76323i	−0.808429	−	0.644701i
$146$	−0.350533	−	4.00640i	−0.0290104	−	0.331572i
$147$	6.71018	−	1.99338i	0.553446	−	0.164411i
$148$	21.6217	−	3.81270i	1.77729	−	0.313402i
$149$	−1.89452	+	2.37565i	−0.155205	+	0.194621i	−0.853354	−	0.521331i	$-0.825436\pi$
$149$	−1.89452	+	2.37565i	−0.155205	+	0.194621i	0.698149	+	0.715952i	$0.254007\pi$
$150$	−2.02814	−	0.766937i	−0.165597	−	0.0626202i
$151$	17.4969	−	3.99355i	1.42387	−	0.324990i	0.559915	−	0.828550i	$-0.310834\pi$
$151$	17.4969	−	3.99355i	1.42387	−	0.324990i	0.863960	+	0.503560i	$0.167977\pi$
$152$	−6.83060	−	1.29232i	−0.554035	−	0.104821i
$153$	0.232501	+	0.482794i	0.0187966	+	0.0390316i
$154$	−0.615482	−	0.760408i	−0.0495969	−	0.0612755i
$155$	−6.90153	+	14.3312i	−0.554345	+	1.15111i
$156$	2.04010	−	2.31175i	0.163338	−	0.185088i
$157$	0.497740	+	1.03357i	0.0397240	+	0.0824877i	0.919886	−	0.392185i	$-0.128281\pi$
$157$	0.497740	+	1.03357i	0.0397240	+	0.0824877i	−0.880162	+	0.474673i	$0.842566\pi$
$158$	−10.2577	−	6.80776i	−0.816059	−	0.541596i
$159$	−0.859989	+	3.76786i	−0.0682016	+	0.298811i
$160$	−14.0554	−	3.39259i	−1.11117	−	0.268208i
$161$	8.90863	+	13.2142i	0.702098	+	1.04142i
$162$	−0.974763	−	1.02462i	−0.0765846	−	0.0805014i
$163$	2.73763	+	5.68474i	0.214428	+	0.445263i	0.980243	−	0.197797i	$-0.0633787\pi$
$163$	2.73763	+	5.68474i	0.214428	+	0.445263i	−0.765815	+	0.643060i	$0.777664\pi$
$164$	−22.7618	−	1.13578i	−1.77740	−	0.0886896i
$165$	0.668289			0.0520263
$166$	3.86747	−	0.338378i	0.300174	−	0.0262632i
$167$	−3.85943	+	16.9093i	−0.298652	+	1.30848i	0.573485	+	0.819216i	$0.305591\pi$
$167$	−3.85943	+	16.9093i	−0.298652	+	1.30848i	−0.872137	+	0.489262i	$0.837266\pi$
$168$	−1.97441	+	7.21815i	−0.152329	+	0.556892i
$169$	−2.36394	−	10.3571i	−0.181842	−	0.796700i
$170$	0.593981	+	1.84368i	0.0455562	+	0.141404i
$171$	−1.53243	−	1.92160i	−0.117188	−	0.146949i
$172$	−2.45743	+	2.78465i	−0.187377	+	0.212328i
$173$	−10.7372	+	2.45069i	−0.816331	+	0.186322i	−0.610246	−	0.792212i	$-0.708929\pi$
$173$	−10.7372	+	2.45069i	−0.816331	+	0.186322i	−0.206085	+	0.978534i	$0.566072\pi$
$174$	−2.11255	−	6.55723i	−0.160152	−	0.497102i
$175$	−2.04656	+	3.50243i	−0.154706	+	0.264758i
$176$	1.03771	−	0.130062i	0.0782204	−	0.00980376i
$177$	−13.7483			−1.03338
$178$	−0.385743	−	4.40882i	−0.0289126	−	0.330455i
$179$	10.0147	+	2.28579i	0.748533	+	0.170848i	0.579738	−	0.814803i	$-0.303155\pi$
$179$	10.0147	+	2.28579i	0.748533	+	0.170848i	0.168796	+	0.985651i	$0.446012\pi$
$180$	−2.98416	−	4.15063i	−0.222426	−	0.309369i
$181$	17.6317	−	14.0608i	1.31056	−	1.04513i	0.315184	−	0.949031i	$-0.397934\pi$
$181$	17.6317	−	14.0608i	1.31056	−	1.04513i	0.995371	−	0.0961021i	$-0.0306375\pi$
$182$	−3.62901	−	4.48352i	−0.269000	−	0.332341i
$183$	5.31530	+	4.23881i	0.392918	+	0.313342i
$184$	−17.0251	+	0.637272i	−1.25511	+	0.0469803i
$185$	21.9374	+	17.4945i	1.61287	+	1.28622i
$186$	−7.56627	+	4.49512i	−0.554786	+	0.329598i
$187$	−0.0873538	−	0.109538i	−0.00638795	−	0.00801023i
$188$	3.25802	+	0.916633i	0.237616	+	0.0668523i
$189$	−2.19377	+	1.47898i	−0.159573	+	0.107580i
$190$	−4.53782	−	7.63814i	−0.329208	−	0.554129i
$191$	9.92788	−	20.6155i	0.718356	−	1.49168i	−0.146258	−	0.989246i	$-0.546723\pi$
$191$	9.92788	−	20.6155i	0.718356	−	1.49168i	0.864614	−	0.502436i	$-0.167563\pi$
$192$	−5.44155	−	5.86426i	−0.392710	−	0.423217i
$193$	−12.1928	−	5.87173i	−0.877655	−	0.422656i	−0.0598874	−	0.998205i	$-0.519074\pi$
$193$	−12.1928	−	5.87173i	−0.877655	−	0.422656i	−0.817767	+	0.575549i	$0.804788\pi$
$194$	14.2612	+	9.46476i	1.02389	+	0.679530i
$195$	3.94037			0.282176
$196$	12.7004	+	5.89075i	0.907168	+	0.420768i
$197$	−0.578845			−0.0412410			−0.0206205	−	0.999787i	$-0.506564\pi$
$197$	−0.578845			−0.0412410			−0.0206205	+	0.999787i	$0.506564\pi$
$198$	0.308081	+	0.204465i	0.0218944	+	0.0145307i
$199$	3.01031	+	1.44969i	0.213395	+	0.102766i	0.537528	−	0.843246i	$-0.319358\pi$
$199$	3.01031	+	1.44969i	0.213395	+	0.102766i	−0.324133	+	0.946012i	$0.605073\pi$
$200$	−2.02642	−	3.83403i	−0.143289	−	0.271107i
$201$	−4.67155	+	9.70057i	−0.329506	+	0.684226i
$202$	−0.241906	−	0.407181i	−0.0170205	−	0.0286491i
$203$	−12.7543	+	1.85439i	−0.895175	+	0.130153i
$204$	−0.290256	+	1.03167i	−0.0203220	+	0.0722312i
$205$	−18.1597	−	22.7716i	−1.26833	−	1.59044i
$206$	4.25659	−	2.52884i	0.296571	−	0.176193i
$207$	−4.70936	−	3.75559i	−0.327323	−	0.261032i
$208$	6.11855	−	0.766870i	0.424245	−	0.0531728i
$209$	0.502417	+	0.400665i	0.0347529	+	0.0277145i
$210$	−8.58631	+	4.21195i	−0.592511	+	0.290652i
$211$	20.5381	−	16.3786i	1.41390	−	1.12755i	0.440688	−	0.897660i	$-0.354735\pi$
$211$	20.5381	−	16.3786i	1.41390	−	1.12755i	0.973216	−	0.229891i	$-0.0738369\pi$
$212$	−6.27584	+	4.51211i	−0.431027	+	0.309893i
$213$	5.94010	+	1.35579i	0.407009	+	0.0928972i
$214$	0.0182865	+	0.209004i	0.00125004	+	0.0142872i
$215$	−4.74643			−0.323704
$216$	−0.105798	−	2.82645i	−0.00719862	−	0.192315i
$217$	5.93524	+	15.3579i	0.402910	+	1.04256i
$218$	−4.93893	−	15.3302i	−0.334507	−	1.03829i
$219$	2.77248	−	0.632800i	0.187347	−	0.0427606i
$220$	1.00215	+	0.884386i	0.0675649	+	0.0596253i
$221$	−0.515056	−	0.645860i	−0.0346464	−	0.0434452i
$222$	4.76064	+	14.7768i	0.319514	+	0.991753i
$223$	−0.365626	−	1.60191i	−0.0244841	−	0.107272i	0.961209	−	0.275820i	$-0.0889493\pi$
$223$	−0.365626	−	1.60191i	−0.0244841	−	0.107272i	−0.985693	+	0.168548i	$0.946092\pi$
$224$	−12.5130	+	8.21131i	−0.836058	+	0.548641i
$225$	0.341174	−	1.49478i	0.0227449	−	0.0996521i
$226$	−1.19225	+	0.104314i	−0.0793073	+	0.00693886i
$227$	17.9948			1.19436			0.597180	−	0.802108i	$-0.296288\pi$
$227$	17.9948			1.19436			0.597180	+	0.802108i	$0.296288\pi$
$228$	0.244979	−	4.90954i	0.0162241	−	0.325142i
$229$	3.73440	+	7.75456i	0.246776	+	0.512436i	0.987157	−	0.159752i	$-0.0510693\pi$
$229$	3.73440	+	7.75456i	0.246776	+	0.512436i	−0.740381	+	0.672187i	$0.765355\pi$
$230$	−15.0076	−	15.7751i	−0.989573	−	1.04018i
$231$	0.473149	−	0.504628i	0.0311309	−	0.0332021i
$232$	5.50964	−	12.6287i	0.361725	−	0.829115i
$233$	4.84481	−	21.2265i	0.317394	−	1.39059i	−0.524711	−	0.851280i	$-0.675827\pi$
$233$	4.84481	−	21.2265i	0.317394	−	1.39059i	0.842105	−	0.539313i	$-0.181316\pi$
$234$	1.81651	+	1.20557i	0.118749	+	0.0788104i
$235$	1.87674	+	3.89708i	0.122425	+	0.254218i
$236$	−20.6165	−	18.1939i	−1.34202	−	1.18432i
$237$	3.77711	−	7.84324i	0.245349	−	0.509473i
$238$	1.81271	+	0.856813i	0.117501	+	0.0555390i
$239$	10.2348	+	21.2528i	0.662034	+	1.37473i	0.913491	+	0.406859i	$0.133376\pi$
$239$	10.2348	+	21.2528i	0.662034	+	1.37473i	−0.251458	+	0.967868i	$0.580910\pi$
$240$	1.01780	−	10.1733i	0.0656987	−	0.656682i
$241$	20.7811	−	4.74314i	1.33863	−	0.305533i	0.507517	−	0.861642i	$-0.330563\pi$
$241$	20.7811	−	4.74314i	1.33863	−	0.305533i	0.831109	+	0.556109i	$0.187706\pi$
$242$	14.4603	+	5.46814i	0.929545	+	0.351506i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	2.36123	+	13.3904i	0.151162	+	0.857236i
$245$	5.09510	+	17.1513i	0.325514	+	1.09576i
$246$	−1.40459	−	16.0537i	−0.0895535	−	1.02355i
$247$	2.96236	+	2.36240i	0.188490	+	0.150316i
$248$	−17.2948	−	3.27211i	−1.09822	−	0.207779i
$249$	0.610856	+	2.67634i	0.0387114	+	0.169606i
$250$	−4.43245	+	11.7215i	−0.280333	+	0.741331i
$251$	3.33640	−	1.60672i	0.210592	−	0.101416i	−0.325615	−	0.945503i	$-0.605571\pi$
$251$	3.33640	−	1.60672i	0.210592	−	0.101416i	0.536206	+	0.844087i	$0.319857\pi$
$252$	−5.24694	−	0.685301i	−0.330526	−	0.0431699i
$253$	1.41892	+	0.683318i	0.0892070	+	0.0429598i
$254$	8.76184	−	8.33554i	0.549767	−	0.523018i
$255$	−1.23403	+	0.594277i	−0.0772779	+	0.0372151i
$256$	−0.399486	−	15.9950i	−0.0249679	−	0.999688i
$257$	10.4509	+	2.38534i	0.651907	+	0.148793i	0.535669	−	0.844428i	$-0.320059\pi$
$257$	10.4509	+	2.38534i	0.651907	+	0.148793i	0.116238	+	0.993221i	$0.462917\pi$
$258$	−2.18810	−	1.45218i	−0.136225	−	0.0904090i
$259$	28.7419	−	4.17890i	1.78593	−	0.259664i
$260$	5.90888	+	5.21452i	0.366453	+	0.323391i
$261$	4.38893	−	2.11360i	0.271668	−	0.130828i
$262$	−4.13073	+	29.9340i	−0.255197	+	1.84933i
$263$		−	19.1872i		−	1.18313i	−0.806256	−	0.591567i	$-0.798510\pi$
$263$		−	19.1872i		−	1.18313i	0.806256	−	0.591567i	$-0.201490\pi$
$264$	0.191410	+	0.714312i	0.0117805	+	0.0439629i
$265$	−9.63071	−	2.19815i	−0.591610	−	0.135031i
$266$	−8.98037	−	1.98129i	−0.550622	−	0.121481i
$267$	3.05096	−	0.696361i	0.186715	−	0.0426166i
$268$	−19.8427	+	8.36460i	−1.21208	+	0.510949i
$269$	18.4371	−	14.7031i	1.12413	−	0.896465i	0.128675	−	0.991687i	$-0.458927\pi$
$269$	18.4371	−	14.7031i	1.12413	−	0.896465i	0.995456	+	0.0952217i	$0.0303560\pi$
$270$	2.61893	−	2.49151i	0.159383	−	0.151629i
$271$	−3.08705	−	13.5252i	−0.187525	−	0.821600i	−0.977916	−	0.208998i	$-0.932980\pi$
$271$	−3.08705	−	13.5252i	−0.187525	−	0.821600i	0.790391	−	0.612602i	$-0.209877\pi$
$272$	−1.80053	+	1.16295i	−0.109173	+	0.0705142i
$273$	2.78979	−	2.97539i	0.168846	−	0.180079i
$274$	2.68050	−	19.4247i	0.161935	−	1.17349i
$275$			0.400872i			0.0241735i
$276$	−2.09205	−	11.8640i	−0.125927	−	0.714126i
$277$	−1.61545	+	7.07774i	−0.0970628	+	0.425260i	−0.999990	−	0.00453410i	$-0.998557\pi$
$277$	−1.61545	+	7.07774i	−0.0970628	+	0.425260i	0.902927	+	0.429794i	$0.141414\pi$
$278$	−8.45267	+	5.02173i	−0.506958	+	0.301184i
$279$	−3.88006	−	4.86544i	−0.232293	−	0.291286i
$280$	−18.4497	−	5.04663i	−1.10258	−	0.301594i
$281$	−11.7601	+	14.7467i	−0.701551	+	0.879717i	−0.997138	−	0.0755985i	$-0.975913\pi$
$281$	−11.7601	+	14.7467i	−0.701551	+	0.879717i	0.295587	+	0.955316i	$0.404485\pi$
$282$	−0.327150	+	2.37075i	−0.0194815	+	0.141176i
$283$	−17.6031	+	22.0736i	−1.04639	+	1.31214i	−0.0979501	+	0.995191i	$0.531229\pi$
$283$	−17.6031	+	22.0736i	−1.04639	+	1.31214i	−0.948444	+	0.316945i	$0.897343\pi$
$284$	7.11343	+	9.89399i	0.422105	+	0.587100i
$285$	4.91165	−	3.91691i	0.290941	−	0.232018i
$286$	−0.533171	−	0.201618i	−0.0315271	−	0.0119219i
$287$	−30.0520	−	2.40982i	−1.77391	−	0.142247i
$288$	3.58175	−	4.37848i	0.211057	−	0.258004i
$289$	−15.0578	−	7.25144i	−0.885751	−	0.426555i
$290$	16.7604	−	5.39970i	0.984204	−	0.317081i
$291$	−5.25127	+	10.9044i	−0.307835	+	0.639226i
$292$	4.99496	+	2.72005i	0.292308	+	0.159179i
$293$		−	21.2536i		−	1.24165i	−0.783950	−	0.620824i	$-0.786798\pi$
$293$		−	21.2536i		−	1.24165i	0.783950	−	0.620824i	$-0.213202\pi$
$294$	−2.89866	+	9.46561i	−0.169053	+	0.552046i
$295$		−	35.1408i		−	2.04598i
$296$	−12.4160	+	28.4589i	−0.721667	+	1.65414i
$297$	−0.113442	+	0.235565i	−0.00658258	+	0.0136689i
$298$	−1.31773	−	4.09016i	−0.0763340	−	0.236937i
$299$	8.36627	+	4.02898i	0.483834	+	0.233002i
$300$	2.48975	−	1.79004i	0.143746	−	0.103348i
$301$	−3.36047	+	3.58404i	−0.193695	+	0.206581i
$302$	−8.97723	+	23.7400i	−0.516582	+	1.36608i
$303$	0.261835	−	0.208806i	0.0150420	−	0.0119956i
$304$	6.86444	−	7.03803i	0.393703	−	0.403659i
$305$	−10.8345	+	13.5860i	−0.620380	+	0.777932i
$306$	−0.750707	−	0.103593i	−0.0429151	−	0.00592204i
$307$	17.5823	−	22.0475i	1.00347	−	1.25831i	0.0376009	−	0.999293i	$-0.488028\pi$
$307$	17.5823	−	22.0475i	1.00347	−	1.25831i	0.965871	−	0.259022i	$-0.0834001\pi$
$308$	1.37733	−	0.130581i	0.0784804	−	0.00744053i
$309$	2.18282	+	2.73717i	0.124176	+	0.155712i
$310$	−11.4896	−	19.3395i	−0.652566	−	1.09841i
$311$	4.30391	−	18.8567i	0.244052	−	1.06926i	−0.693237	−	0.720710i	$-0.743816\pi$
$311$	4.30391	−	18.8567i	0.244052	−	1.06926i	0.937289	−	0.348553i	$-0.113327\pi$
$312$	1.12859	+	4.21173i	0.0638940	+	0.238442i
$313$		−	10.3107i		−	0.582796i	−0.956602	−	0.291398i	$-0.905880\pi$
$313$		−	10.3107i		−	0.582796i	0.956602	−	0.291398i	$-0.0941205\pi$
$314$	−1.60712	−	0.221773i	−0.0906949	−	0.0125154i
$315$	−3.78030	−	5.60731i	−0.212996	−	0.315936i
$316$	16.0435	−	6.76307i	0.902516	−	0.380452i
$317$	−0.852821	−	3.73645i	−0.0478992	−	0.209860i	0.945315	−	0.326158i	$-0.105754\pi$
$317$	−0.852821	−	3.73645i	−0.0478992	−	0.209860i	−0.993214	+	0.116298i	$0.962897\pi$
$318$	−3.76722	−	3.95989i	−0.211255	−	0.222060i
$319$	−0.995779	+	0.794108i	−0.0557529	+	0.0444615i
$320$	14.9892	−	13.9087i	0.837919	−	0.777519i
$321$	−0.144633	+	0.0330116i	−0.00807264	+	0.00184253i
$322$	−22.5373	+	0.163485i	−1.25595	+	0.00911067i
$323$	−1.28403	−	0.293071i	−0.0714453	−	0.0163069i
$324$	1.96961	−	0.347315i	0.109423	−	0.0192953i
$325$			2.36363i			0.131110i
$326$	−8.83934	−	1.21978i	−0.489566	−	0.0675574i
$327$	10.2609	−	4.94140i	0.567430	−	0.273260i
$328$	19.1385	−	25.9325i	1.05675	−	1.43188i
$329$	4.27143	+	1.34201i	0.235492	+	0.0739873i
$330$	−0.522616	+	0.787460i	−0.0287691	+	0.0433483i
$331$	−16.3929	−	3.74157i	−0.901036	−	0.205656i	−0.253181	−	0.967419i	$-0.581477\pi$
$331$	−16.3929	−	3.74157i	−0.901036	−	0.205656i	−0.647855	+	0.761764i	$0.724334\pi$
$332$	−2.62573	+	4.82175i	−0.144105	+	0.264628i
$333$	−9.89051	+	4.76302i	−0.541997	+	0.261012i
$334$	−16.9064	−	17.7710i	−0.925077	−	0.972388i
$335$	−24.7948	−	11.9406i	−1.35469	−	0.652382i
$336$	−6.96128	−	7.97124i	−0.379769	−	0.434867i
$337$	−26.5673	+	12.7941i	−1.44721	+	0.696941i	−0.982109	−	0.188314i	$-0.939698\pi$
$337$	−26.5673	+	12.7941i	−1.44721	+	0.696941i	−0.465105	+	0.885256i	$0.653983\pi$
$338$	14.0527	+	5.31398i	0.764364	+	0.289043i
$339$	−0.188312	−	0.825051i	−0.0102277	−	0.0448106i
$340$	−2.63696	−	0.741899i	−0.143009	−	0.0402351i
$341$	1.27210	+	1.01447i	0.0688883	+	0.0549366i
$342$	3.46266	−	0.302960i	0.187239	−	0.0163822i
$343$	16.5584	+	8.29582i	0.894068	+	0.447932i
$344$	−1.35946	−	5.07330i	−0.0732973	−	0.273534i
$345$	9.59935	−	12.0372i	0.516812	−	0.648061i
$346$	5.50898	−	14.5683i	0.296165	−	0.783197i
$347$	18.5276	−	4.22879i	0.994611	−	0.227014i	0.305911	−	0.952060i	$-0.401039\pi$
$347$	18.5276	−	4.22879i	0.994611	−	0.227014i	0.688700	+	0.725046i	$0.258182\pi$
$348$	9.37858	+	2.63863i	0.502745	+	0.141445i
$349$	2.75723	+	5.72544i	0.147591	+	0.306476i	0.961637	−	0.274324i	$-0.0884541\pi$
$349$	2.75723	+	5.72544i	0.147591	+	0.306476i	−0.814046	+	0.580800i	$0.802740\pi$
$350$	−2.52653	−	5.15048i	−0.135049	−	0.275305i
$351$	−0.668878	+	1.38894i	−0.0357020	+	0.0741361i
$352$	−0.658257	+	1.32447i	−0.0350852	+	0.0705944i
$353$	9.20804	+	19.1207i	0.490094	+	1.01769i	0.988566	+	0.150786i	$0.0481804\pi$
$353$	9.20804	+	19.1207i	0.490094	+	1.01769i	−0.498472	+	0.866906i	$0.666105\pi$
$354$	10.7514	−	16.1999i	0.571432	−	0.861014i
$355$	−3.46542	+	15.1830i	−0.183925	+	0.805830i
$356$	5.49667	+	2.99326i	0.291323	+	0.158643i
$357$	−0.424953	+	1.35257i	−0.0224909	+	0.0715855i
$358$	−10.5251	+	10.0130i	−0.556268	+	0.529203i
$359$	−1.66270	−	3.45264i	−0.0877541	−	0.182223i	0.852473	−	0.522771i	$-0.175102\pi$
$359$	−1.66270	−	3.45264i	−0.0877541	−	0.182223i	−0.940227	+	0.340548i	$0.889387\pi$
$360$	7.22445	−	0.270421i	0.380762	−	0.0142524i
$361$	−12.9591			−0.682058
$362$	2.77981	+	31.7717i	0.146104	+	1.66988i
$363$	−2.43252	+	10.6576i	−0.127674	+	0.559377i
$364$	8.12099	−	0.769931i	0.425656	−	0.0403554i
$365$	1.61745	+	7.08650i	0.0846610	+	0.370924i
$366$	−9.15136	+	2.94830i	−0.478349	+	0.154110i
$367$	−16.7011	−	20.9425i	−0.871791	−	1.09319i	−0.994907	−	0.100799i	$-0.967860\pi$
$367$	−16.7011	−	20.9425i	−0.871791	−	1.09319i	0.123116	−	0.992392i	$-0.460711\pi$
$368$	12.5631	−	20.5594i	0.654896	−	1.07173i
$369$	11.1093	−	2.53564i	0.578329	−	0.132000i
$370$	−37.7697	+	12.1683i	−1.96355	+	0.632599i
$371$	−8.47838	+	5.71590i	−0.440176	+	0.296754i
$372$	0.620279	−	12.4308i	0.0321600	−	0.644506i
$373$	7.19997			0.372800			0.186400	−	0.982474i	$-0.440318\pi$
$373$	7.19997			0.372800			0.186400	+	0.982474i	$0.440318\pi$
$374$	0.197384	−	0.0172698i	0.0102065	−	0.000892999i
$375$	−8.63897	−	1.97179i	−0.446115	−	0.101823i
$376$	−3.62793	+	3.12217i	−0.187096	+	0.161014i
$377$	−5.87132	+	4.68222i	−0.302388	+	0.241147i
$378$	−0.0271412	−	3.74156i	−0.00139599	−	0.192445i
$379$	−16.2358	−	12.9476i	−0.833978	−	0.665075i	0.110418	−	0.993885i	$-0.464781\pi$
$379$	−16.2358	−	12.9476i	−0.833978	−	0.665075i	−0.944396	+	0.328810i	$0.893352\pi$
$380$	12.5489	+	0.626171i	0.643743	+	0.0321219i
$381$	6.68571	+	5.33168i	0.342519	+	0.273150i
$382$	16.5278	+	27.8200i	0.845638	+	1.42339i
$383$	−13.3514	−	16.7421i	−0.682224	−	0.855482i	0.313333	−	0.949643i	$-0.398554\pi$
$383$	−13.3514	−	16.7421i	−0.682224	−	0.855482i	−0.995557	+	0.0941615i	$0.969983\pi$
$384$	11.1654	−	1.82592i	0.569782	−	0.0931785i
$385$	1.28984	+	1.20938i	0.0657362	+	0.0616356i
$386$	16.4538	−	9.77520i	0.837476	−	0.497544i
$387$	0.805706	−	1.67307i	0.0409563	−	0.0850467i
$388$	−22.3051	+	9.40262i	−1.13237	+	0.477346i
$389$	11.4226	+	5.50084i	0.579149	+	0.278903i	0.700437	−	0.713714i	$-0.252988\pi$
$389$	11.4226	+	5.50084i	0.579149	+	0.278903i	−0.121288	+	0.992617i	$0.538703\pi$
$390$	−3.08145	+	4.64303i	−0.156035	+	0.235109i
$391$	−3.22776			−0.163235
$392$	−16.8731	+	10.3584i	−0.852222	+	0.523180i
$393$	−21.3671			−1.07783
$394$	0.452669	−	0.682066i	0.0228051	−	0.0343620i
$395$	20.0475	+	9.65435i	1.00870	+	0.485763i
$396$	−0.481851	+	0.203123i	−0.0242139	+	0.0102073i
$397$	−4.92258	+	10.2218i	−0.247057	+	0.513020i	−0.987211	−	0.159418i	$-0.949038\pi$
$397$	−4.92258	+	10.2218i	−0.247057	+	0.513020i	0.740154	+	0.672437i	$0.234753\pi$
$398$	−4.06232	+	2.41343i	−0.203626	+	0.120974i
$399$	0.519780	−	6.48198i	0.0260216	−	0.324505i
$400$	6.10243	+	0.610525i	0.305121	+	0.0305263i
$401$	2.43463	+	3.05293i	0.121579	+	0.152456i	0.838896	−	0.544291i	$-0.183201\pi$
$401$	2.43463	+	3.05293i	0.121579	+	0.152456i	−0.717317	+	0.696747i	$0.754630\pi$
$402$	−7.77715	−	13.0906i	−0.387889	−	0.652902i
$403$	7.50058	+	5.98152i	0.373631	+	0.297960i
$404$	0.668966	+	0.0333805i	0.0332823	+	0.00166074i
$405$	1.99837	+	1.59365i	0.0993000	+	0.0791891i
$406$	7.78903	−	16.4788i	0.386563	−	0.817830i
$407$	2.24400	−	1.78953i	0.111231	−	0.0887037i
$408$	−0.988651	−	1.14880i	−0.0489455	−	0.0568741i
$409$	16.9833	+	3.87633i	0.839771	+	0.191672i	0.620711	−	0.784039i	$-0.286844\pi$
$409$	16.9833	+	3.87633i	0.839771	+	0.191672i	0.219060	+	0.975711i	$0.429701\pi$
$410$	41.0335	−	3.59016i	2.02650	−	0.177305i
$411$	13.8655			0.683935
$412$	−0.348953	+	6.99325i	−0.0171917	+	0.344533i
$413$	−26.5349	−	24.8797i	−1.30570	−	1.22425i
$414$	8.10811	−	2.61220i	0.398492	−	0.128382i
$415$	−6.84076	+	1.56136i	−0.335800	+	0.0766441i
$416$	−3.88122	+	7.80933i	−0.190292	+	0.382884i
$417$	−4.33461	−	5.43543i	−0.212267	−	0.266174i
$418$	−0.865013	+	0.278682i	−0.0423092	+	0.0136308i
$419$	5.40913	+	23.6990i	0.264253	+	1.15777i	0.916586	+	0.399837i	$0.130933\pi$
$419$	5.40913	+	23.6990i	0.264253	+	1.15777i	−0.652333	+	0.757933i	$0.726210\pi$
$420$	1.75164	−	13.4113i	0.0854713	−	0.654403i
$421$	−0.517855	+	2.26887i	−0.0252387	+	0.110578i	−0.985978	−	0.166874i	$-0.946633\pi$
$421$	−0.517855	+	2.26887i	−0.0252387	+	0.110578i	0.960740	+	0.277452i	$0.0894899\pi$
$422$	3.23804	+	37.0090i	0.157625	+	1.80157i
$423$	−1.69226			−0.0822803
$424$	−0.408882	−	10.9235i	−0.0198571	−	0.530494i
$425$	−0.356476	−	0.740230i	−0.0172916	−	0.0359065i
$426$	−6.24284	+	5.93910i	−0.302467	+	0.287750i
$427$	2.58802	+	17.8000i	0.125243	+	0.861404i
$428$	−0.260574	−	0.141898i	−0.0125953	−	0.00685890i
$429$	0.0896902	−	0.392958i	0.00433028	−	0.0189722i
$430$	3.71181	−	5.59282i	0.178999	−	0.269710i
$431$	−2.55613	−	5.30786i	−0.123124	−	0.255671i	0.830291	−	0.557329i	$-0.188174\pi$
$431$	−2.55613	−	5.30786i	−0.123124	−	0.255671i	−0.953416	+	0.301659i	$0.902460\pi$
$432$	3.41320	+	2.08568i	0.164218	+	0.100347i
$433$	−5.71318	+	11.8635i	−0.274558	+	0.570125i	−0.991963	−	0.126532i	$-0.959616\pi$
$433$	−5.71318	+	11.8635i	−0.274558	+	0.570125i	0.717405	+	0.696656i	$0.245330\pi$
$434$	−22.7380	−	5.01655i	−1.09146	−	0.240802i
$435$	5.40240	+	11.2182i	0.259025	+	0.537871i
$436$	21.9262	+	6.16887i	1.05008	+	0.295435i
$437$	14.4335	−	3.29436i	0.690449	−	0.157590i
$438$	−1.42249	+	3.76173i	−0.0679693	+	0.179743i
$439$	−25.8982	+	32.4753i	−1.23605	+	1.54996i	−0.514751	+	0.857340i	$0.672116\pi$
$439$	−25.8982	+	32.4753i	−1.23605	+	1.54996i	−0.721301	+	0.692621i	$0.756456\pi$
$440$	−1.82579	+	0.489247i	−0.0870413	+	0.0233239i
$441$	−6.91055	−	1.11547i	−0.329074	−	0.0531174i
$442$	1.16382	−	0.101826i	0.0553571	−	0.00484338i
$443$	32.1707	+	25.6553i	1.52848	+	1.21892i	0.895763	+	0.444533i	$0.146630\pi$
$443$	32.1707	+	25.6553i	1.52848	+	1.21892i	0.632713	+	0.774386i	$0.281941\pi$
$444$	−21.1347	−	5.94618i	−1.00301	−	0.282193i
$445$	1.77991	+	7.79830i	0.0843758	+	0.369675i
$446$	2.17349	+	0.821903i	0.102918	+	0.0389182i
$447$	2.73766	−	1.31839i	0.129487	−	0.0623576i
$448$	0.109841	−	21.1657i	0.00518950	−	0.999987i
$449$	−29.1298	−	14.0282i	−1.37472	−	0.662030i	−0.406853	−	0.913494i	$-0.633374\pi$
$449$	−29.1298	−	14.0282i	−1.37472	−	0.662030i	−0.967867	+	0.251464i	$0.919088\pi$
$450$	1.49453	+	1.57096i	0.0704528	+	0.0740559i
$451$	−2.68427	+	1.29268i	−0.126397	+	0.0608698i
$452$	0.809449	−	1.48643i	0.0380733	−	0.0699158i
$453$	−17.4969	−	3.99355i	−0.822075	−	0.187633i
$454$	−14.0723	+	21.2037i	−0.660447	+	0.995140i
$455$	7.60514	+	7.13074i	0.356535	+	0.334294i
$456$	5.59344	+	4.12803i	0.261937	+	0.193313i
$457$	30.8677	−	14.8651i	1.44393	−	0.695361i	0.462402	−	0.886671i	$-0.346988\pi$
$457$	30.8677	−	14.8651i	1.44393	−	0.695361i	0.981530	+	0.191310i	$0.0612736\pi$
$458$	−12.0577	−	1.66390i	−0.563421	−	0.0777490i
$459$		−	0.535861i		−	0.0250118i
$460$	30.3245	−	5.34731i	1.41389	−	0.249320i
$461$	−2.96360	−	0.676423i	−0.138029	−	0.0315042i	0.152948	−	0.988234i	$-0.451123\pi$
$461$	−2.96360	−	0.676423i	−0.138029	−	0.0315042i	−0.290977	+	0.956730i	$0.593980\pi$
$462$	0.224601	+	0.952152i	0.0104494	+	0.0442981i
$463$	5.19634	−	1.18603i	0.241494	−	0.0551195i	−0.100060	−	0.994981i	$-0.531904\pi$
$463$	5.19634	−	1.18603i	0.241494	−	0.0551195i	0.341555	+	0.939862i	$0.389046\pi$
$464$	10.5720	+	16.3680i	0.490794	+	0.759867i
$465$	12.4361	−	9.91749i	0.576712	−	0.459912i
$466$	21.2229	+	22.3083i	0.983132	+	1.03341i
$467$	−3.54164	−	15.5169i	−0.163887	−	0.718038i	−0.988360	−	0.152135i	$-0.951385\pi$
$467$	−3.54164	−	15.5169i	−0.163887	−	0.718038i	0.824472	−	0.565902i	$-0.191472\pi$
$468$	−2.84109	+	1.19765i	−0.131330	+	0.0553615i
$469$	−26.5711	+	10.2687i	−1.22694	+	0.474166i
$470$	−6.05967	−	0.836200i	−0.279512	−	0.0385710i
$471$		−	1.14717i		−	0.0528589i
$472$	37.5608	−	10.0650i	1.72888	−	0.463277i
$473$	−0.108038	+	0.473343i	−0.00496757	+	0.0217644i
$474$	6.28809	+	10.5842i	0.288822	+	0.486150i
$475$	2.34955	+	2.94625i	0.107805	+	0.135183i
$476$	−2.42718	+	1.46591i	−0.111250	+	0.0671900i
$477$	2.40964	−	3.02159i	0.110330	−	0.138349i
$478$	−33.0464	−	4.56022i	−1.51151	−	0.208580i
$479$	−11.8404	+	14.8474i	−0.541002	+	0.678394i	−0.974919	−	0.222558i	$-0.928559\pi$
$479$	−11.8404	+	14.8474i	−0.541002	+	0.678394i	0.433918	+	0.900952i	$0.357131\pi$
$480$	11.1915	+	9.15501i	0.510818	+	0.417867i
$481$	13.2311	−	10.5514i	0.603285	−	0.481104i
$482$	−10.6623	+	28.1960i	−0.485653	+	1.28429i
$483$	−2.29299	−	15.7709i	−0.104335	−	0.717599i
$484$	−17.7515	+	12.7627i	−0.806887	+	0.580123i
$485$	−27.8718	−	13.4223i	−1.26559	−	0.609477i
$486$	0.433667	+	1.34608i	0.0196716	+	0.0610594i
$487$	−16.2267	+	33.6951i	−0.735302	+	1.52687i	0.110796	+	0.993843i	$0.464660\pi$
$487$	−16.2267	+	33.6951i	−0.735302	+	1.52687i	−0.846098	+	0.533028i	$0.821054\pi$
$488$	−17.6248	−	7.68933i	−0.797837	−	0.348079i
$489$		−	6.30959i		−	0.285329i
$490$	−24.1943	−	7.40902i	−1.09299	−	0.334705i
$491$		−	1.08731i		−	0.0490697i	−0.999699	−	0.0245349i	$-0.992190\pi$
$491$		−	1.08731i		−	0.0490697i	0.999699	−	0.0245349i	$-0.00781047\pi$
$492$	20.0148	+	10.8993i	0.902339	+	0.491377i
$493$	1.13259	−	2.35186i	0.0510095	−	0.105922i
$494$	−5.10029	+	1.64316i	−0.229473	+	0.0739294i
$495$	−0.602108	−	0.289960i	−0.0270627	−	0.0130327i
$496$	17.3805	−	17.8200i	0.780409	−	0.800143i
$497$	9.01122	+	13.3663i	0.404208	+	0.599562i
$498$	−3.63129	−	1.37317i	−0.162722	−	0.0615330i
$499$	15.3032	−	12.2039i	0.685067	−	0.546323i	−0.217933	−	0.975964i	$-0.569931\pi$
$499$	15.3032	−	12.2039i	0.685067	−	0.546323i	0.903000	+	0.429641i	$0.141360\pi$
$500$	−10.3454	−	14.3893i	−0.462661	−	0.643509i
$501$	10.8139	−	13.5602i	0.483128	−	0.605824i
$502$	−0.715893	+	5.18784i	−0.0319519	+	0.231545i
$503$	−2.56071	+	3.21103i	−0.114176	+	0.143173i	−0.835635	−	0.549284i	$-0.814900\pi$
$503$	−2.56071	+	3.21103i	−0.114176	+	0.143173i	0.721459	+	0.692457i	$0.243472\pi$
$504$	4.91072	−	5.64666i	0.218741	−	0.251522i
$505$	0.533712	+	0.669254i	0.0237499	+	0.0297814i
$506$	−1.91480	+	1.13758i	−0.0851231	+	0.0505717i
$507$	−2.36394	+	10.3571i	−0.104986	+	0.459975i
$508$	2.97001	+	16.8428i	0.131773	+	0.747280i
$509$		−	4.73908i		−	0.210056i	−0.994469	−	0.105028i	$-0.966507\pi$
$509$		−	4.73908i		−	0.210056i	0.994469	−	0.105028i	$-0.0334932\pi$
$510$	0.264787	−	1.91882i	0.0117249	−	0.0849668i
$511$	6.49619	+	3.79591i	0.287375	+	0.167921i
$512$	19.1597	+	12.0377i	0.846746	+	0.531997i
$513$	0.546917	+	2.39620i	0.0241470	+	0.105795i
$514$	−10.9835	+	10.4491i	−0.484461	+	0.460890i
$515$	−6.99626	+	5.57933i	−0.308292	+	0.245855i
$516$	3.42228	−	1.44265i	0.150657	−	0.0635091i
$517$	0.431360	−	0.0984550i	0.0189712	−	0.00433005i
$518$	−17.5527	+	37.1352i	−0.771220	+	1.63163i
$519$	10.7372	+	2.45069i	0.471309	+	0.107573i
$520$	−10.7653	+	2.88470i	−0.472088	+	0.126503i
$521$			12.7441i			0.558328i	0.960243	+	0.279164i	$0.0900573\pi$
$521$			12.7441i			0.558328i	−0.960243	+	0.279164i	$0.909943\pi$
$522$	−0.941737	+	6.82446i	−0.0412187	+	0.298698i
$523$	0.694455	−	0.334432i	0.0303664	−	0.0146237i	−0.418639	−	0.908153i	$-0.637493\pi$
$523$	0.694455	−	0.334432i	0.0303664	−	0.0146237i	0.449005	+	0.893529i	$0.351778\pi$
$524$	−32.0416	−	28.2764i	−1.39975	−	1.23526i
$525$	3.36354	−	2.26760i	0.146797	−	0.0989664i
$526$	22.6087	+	15.0048i	0.985787	+	0.654240i
$527$	−3.25112	−	0.742047i	−0.141621	−	0.0323241i
$528$	−0.991376	−	0.333064i	−0.0431441	−	0.0144948i
$529$	11.9672	−	5.76308i	0.520311	−	0.250569i
$530$	10.1215	−	9.62909i	0.439652	−	0.418261i
$531$	12.3868	+	5.96515i	0.537539	+	0.258865i
$532$	9.35743	−	9.03236i	0.405696	−	0.391603i
$533$	−15.8270	+	7.62189i	−0.685544	+	0.330141i
$534$	−1.56537	+	4.13958i	−0.0677403	+	0.179137i
$535$	−0.0843781	−	0.369685i	−0.00364799	−	0.0159829i
$536$	5.66118	−	29.9223i	0.244526	−	1.29245i
$537$	−8.03116	−	6.40463i	−0.346570	−	0.276380i
$538$	2.90679	+	33.2230i	0.125321	+	1.43235i
$539$	1.82641	−	0.117720i	0.0786691	−	0.00507054i
$540$	0.887742	+	5.03436i	0.0382023	+	0.216644i
$541$	−0.0945868	+	0.118608i	−0.00406661	+	0.00509936i	−0.783861	−	0.620937i	$-0.786752\pi$
$541$	−0.0945868	+	0.118608i	−0.00406661	+	0.00509936i	0.779794	+	0.626036i	$0.215324\pi$
$542$	18.3512	+	6.93948i	0.788253	+	0.298076i
$543$	−21.9864	+	5.01825i	−0.943526	+	0.215354i
$544$	0.0377185	−	3.03105i	0.00161717	−	0.129955i
$545$	12.6303	+	26.2271i	0.541022	+	1.12344i
$546$	1.32429	+	5.61408i	0.0566746	+	0.240261i
$547$	−15.5231	+	32.2341i	−0.663721	+	1.37823i	0.248540	+	0.968622i	$0.420049\pi$
$547$	−15.5231	+	32.2341i	−0.663721	+	1.37823i	−0.912261	+	0.409609i	$0.865665\pi$
$548$	20.7924	+	18.3490i	0.888206	+	0.783832i
$549$	−2.94977	−	6.12526i	−0.125893	−	0.261420i
$550$	−0.472357	−	0.313491i	−0.0201414	−	0.0133673i
$551$	−2.66422	+	11.6727i	−0.113500	+	0.497275i
$552$	15.6156	+	6.81275i	0.664644	+	0.289970i
$553$	21.4837	−	8.30262i	0.913578	−	0.353063i
$554$	−7.07654	−	7.43846i	−0.300654	−	0.316030i
$555$	−12.1744	−	25.2803i	−0.516773	−	1.07309i
$556$	0.692945	−	13.8871i	0.0293874	−	0.588943i
$557$	19.6376			0.832073			0.416037	−	0.909348i	$-0.363419\pi$
$557$	19.6376			0.832073			0.416037	+	0.909348i	$0.363419\pi$
$558$	8.76734	−	0.767084i	0.371151	−	0.0324732i
$559$	−0.637011	+	2.79093i	−0.0269427	+	0.118044i
$560$	20.3746	−	17.7931i	0.860985	−	0.751898i
$561$	0.0311762	+	0.136592i	0.00131626	+	0.00576692i
$562$	−8.17975	−	25.3895i	−0.345042	−	1.07099i
$563$	−14.0897	−	17.6680i	−0.593812	−	0.744617i	0.390587	−	0.920566i	$-0.372272\pi$
$563$	−14.0897	−	17.6680i	−0.593812	−	0.744617i	−0.984399	+	0.175949i	$0.943701\pi$
$564$	−2.53766	−	2.23946i	−0.106855	−	0.0942983i
$565$	2.10884	−	0.481330i	0.0887197	−	0.0202497i
$566$	−12.2438	−	38.0041i	−0.514645	−	1.59743i
$567$	2.61822	−	0.380674i	0.109955	−	0.0159868i
$568$	−17.2212	+	0.644611i	−0.722584	+	0.0270473i
$569$	21.9573			0.920500			0.460250	−	0.887789i	$-0.347760\pi$
$569$	21.9573			0.920500			0.460250	+	0.887789i	$0.347760\pi$
$570$	0.774370	+	8.85062i	0.0324348	+	0.370712i
$571$	25.3210	+	5.77935i	1.05965	+	0.241858i	0.716618	−	0.697466i	$-0.245689\pi$
$571$	25.3210	+	5.77935i	1.05965	+	0.241858i	0.343032	+	0.939324i	$0.388546\pi$
$572$	0.654522	−	0.470578i	0.0273669	−	0.0196759i
$573$	−17.8894	+	14.2663i	−0.747342	+	0.595985i
$574$	26.3408	−	33.5264i	1.09944	−	1.39936i
$575$	7.22050	+	5.75816i	0.301116	+	0.240132i
$576$	2.35825	+	7.64452i	0.0982606	+	0.318522i
$577$	0.231131	+	0.184321i	0.00962210	+	0.00767337i	0.628289	−	0.777980i	$-0.283756\pi$
$577$	0.231131	+	0.184321i	0.00962210	+	0.00767337i	−0.618667	+	0.785653i	$0.712327\pi$
$578$	20.3200	−	12.0721i	0.845201	−	0.502134i
$579$	8.43766	+	10.5805i	0.350657	+	0.439710i
$580$	−6.74438	+	23.9718i	−0.280045	+	0.995375i
$581$	−3.66428	+	6.27093i	−0.152020	+	0.260162i
$582$	−8.74227	−	14.7151i	−0.362379	−	0.609962i
$583$	−0.438426	+	0.910401i	−0.0181578	+	0.0377050i
$584$	−7.11125	+	3.75853i	−0.294266	+	0.155529i
$585$	−3.55015	−	1.70966i	−0.146781	−	0.0706858i
$586$	25.0436	+	16.6208i	1.03454	+	0.686597i
$587$	−45.1111			−1.86193			−0.930966	−	0.365105i	$-0.881033\pi$
$587$	−45.1111			−1.86193			−0.930966	+	0.365105i	$0.881033\pi$
$588$	−8.88673	−	10.8179i	−0.366483	−	0.446121i
$589$	15.2953			0.630234
$590$	41.4072	+	27.4808i	1.70471	+	1.13137i
$591$	0.521521	+	0.251151i	0.0214525	+	0.0103310i
$592$	−23.8242	−	36.8856i	−0.979168	−	1.51599i
$593$	13.4852	−	28.0024i	0.553772	−	1.14992i	−0.416776	−	0.909009i	$-0.636840\pi$
$593$	13.4852	−	28.0024i	0.553772	−	1.14992i	0.970548	−	0.240910i	$-0.0774457\pi$
$594$	−0.188857	−	0.317888i	−0.00774891	−	0.0130431i
$595$	−3.45719	−	1.08619i	−0.141731	−	0.0445293i
$596$	5.85002	+	1.64588i	0.239626	+	0.0674180i
$597$	−2.08320	−	2.61225i	−0.0852596	−	0.106912i
$598$	−11.2900	+	6.70741i	−0.461684	+	0.274287i
$599$	−33.5796	−	26.7788i	−1.37202	−	1.09415i	−0.985089	−	0.172047i	$-0.944962\pi$
$599$	−33.5796	−	26.7788i	−1.37202	−	1.09415i	−0.386936	−	0.922106i	$-0.626467\pi$
$600$	0.162211	+	4.33357i	0.00662226	+	0.176917i
$601$	−8.21906	−	6.55448i	−0.335262	−	0.267363i	0.441359	−	0.897331i	$-0.354497\pi$
$601$	−8.21906	−	6.55448i	−0.335262	−	0.267363i	−0.776621	+	0.629968i	$0.783068\pi$
$602$	−1.59520	−	6.76252i	−0.0650154	−	0.275620i
$603$	8.41784	−	6.71300i	0.342801	−	0.273375i
$604$	−20.9530	−	29.1432i	−0.852564	−	1.18582i
$605$	−27.2409	−	6.21756i	−1.10750	−	0.252780i
$606$	0.0412808	+	0.471816i	0.00167692	+	0.0191662i
$607$	−18.6021			−0.755035			−0.377518	−	0.926002i	$-0.623222\pi$
$607$	−18.6021			−0.755035			−0.377518	+	0.926002i	$0.623222\pi$
$608$	2.92493	+	13.5924i	0.118621	+	0.551245i
$609$	12.2958	+	3.86312i	0.498251	+	0.156542i
$610$	−7.53590	−	23.3910i	−0.305120	−	0.947075i
$611$	2.54338	−	0.580511i	0.102894	−	0.0234850i
$612$	0.709135	−	0.803563i	0.0286651	−	0.0324821i
$613$	23.9542	+	30.0376i	0.967501	+	1.21321i	0.976997	+	0.213253i	$0.0684059\pi$
$613$	23.9542	+	30.0376i	0.967501	+	1.21321i	−0.00949587	+	0.999955i	$0.503023\pi$
$614$	12.2293	+	37.9591i	0.493535	+	1.53191i
$615$	6.48113	+	28.3957i	0.261344	+	1.14502i
$616$	−0.923231	+	1.72505i	−0.0371980	+	0.0695043i
$617$	3.84706	−	16.8551i	0.154877	−	0.678560i	−0.836549	−	0.547892i	$-0.815431\pi$
$617$	3.84706	−	16.8551i	0.154877	−	0.678560i	0.991426	−	0.130668i	$-0.0417124\pi$
$618$	−4.93228	+	0.431542i	−0.198405	+	0.0173592i
$619$	6.73659			0.270767			0.135383	−	0.990793i	$-0.456773\pi$
$619$	6.73659			0.270767			0.135383	+	0.990793i	$0.456773\pi$
$620$	31.7733	+	1.58544i	1.27605	+	0.0636729i
$621$	2.61350	+	5.42699i	0.104876	+	0.217777i
$622$	18.8535	+	19.8177i	0.755955	+	0.794617i
$623$	7.14870	+	4.17718i	0.286407	+	0.167355i
$624$	−5.84536	−	1.96381i	−0.234002	−	0.0786155i
$625$	6.74580	−	29.5553i	0.269832	−	1.18221i
$626$	12.1494	+	8.06320i	0.485586	+	0.322270i
$627$	−0.278821	−	0.578977i	−0.0111350	−	0.0231221i
$628$	1.51812	−	1.72027i	0.0605796	−	0.0686463i
$629$	−2.55231	+	5.29994i	−0.101767	+	0.211322i
$630$	9.56349	−	0.0693734i	0.381018	−	0.00276390i
$631$	−13.8621	−	28.7850i	−0.551842	−	1.14591i	−0.971239	−	0.238108i	$-0.923473\pi$
$631$	−13.8621	−	28.7850i	−0.551842	−	1.14591i	0.419397	−	0.907803i	$-0.362241\pi$
$632$	−4.57726	+	24.1932i	−0.182074	+	0.962355i
$633$	−25.6107	+	5.84546i	−1.01793	+	0.232336i
$634$	5.06967	+	1.91709i	0.201342	+	0.0761372i
$635$	−13.6279	+	17.0888i	−0.540805	+	0.678148i
$636$	7.61207	−	1.34229i	0.301838	−	0.0532251i
$637$	10.7689	−	0.694098i	0.426679	−	0.0275012i
$638$	−0.156994	−	1.79436i	−0.00621547	−	0.0710393i
$639$	−4.76359	−	3.79884i	−0.188445	−	0.150280i
$640$	4.66708	+	28.5389i	0.184482	+	1.12810i
$641$	6.65832	+	29.1720i	0.262988	+	1.15223i	0.917992	+	0.396600i	$0.129810\pi$
$641$	6.65832	+	29.1720i	0.262988	+	1.15223i	−0.655004	+	0.755626i	$0.727333\pi$
$642$	0.0742079	−	0.196240i	0.00292875	−	0.00774498i
$643$	22.1651	−	10.6742i	0.874108	−	0.420948i	0.0576388	−	0.998337i	$-0.481643\pi$
$643$	22.1651	−	10.6742i	0.874108	−	0.420948i	0.816469	+	0.577389i	$0.195929\pi$
$644$	17.4320	−	26.6840i	0.686916	−	1.05150i
$645$	4.27638	+	2.05940i	0.168382	+	0.0810887i
$646$	1.34947	−	1.28381i	0.0530942	−	0.0505109i
$647$	15.5237	−	7.47580i	0.610298	−	0.293904i	−0.103091	−	0.994672i	$-0.532873\pi$
$647$	15.5237	−	7.47580i	0.610298	−	0.293904i	0.713389	+	0.700768i	$0.247159\pi$
$648$	−1.13103	+	2.59245i	−0.0444310	+	0.101841i
$649$	−3.50446	−	0.799870i	−0.137562	−	0.0313976i
$650$	−2.78511	−	1.84840i	−0.109241	−	0.0725004i
$651$	1.31607	−	16.4122i	0.0515807	−	0.643243i
$652$	8.34984	−	9.46170i	0.327005	−	0.370549i
$653$	6.24790	−	3.00883i	0.244499	−	0.117745i	−0.307622	−	0.951509i	$-0.599533\pi$
$653$	6.24790	−	3.00883i	0.244499	−	0.117745i	0.552121	+	0.833764i	$0.313819\pi$
$654$	−2.20169	+	15.9549i	−0.0860930	+	0.623888i
$655$		−	54.6148i		−	2.13398i
$656$	15.5901	+	42.8311i	0.608693	+	1.67227i
$657$	−2.77248	−	0.632800i	−0.108165	−	0.0246879i
$658$	−4.92167	+	3.98365i	−0.191867	+	0.155299i
$659$	6.25132	−	1.42682i	0.243517	−	0.0555811i	−0.0990204	−	0.995085i	$-0.531571\pi$
$659$	6.25132	−	1.42682i	0.243517	−	0.0555811i	0.342537	+	0.939504i	$0.388714\pi$
$660$	−0.519185	−	1.23162i	−0.0202093	−	0.0479408i
$661$	4.33590	−	3.45777i	0.168647	−	0.134492i	−0.535529	−	0.844517i	$-0.679888\pi$
$661$	4.33590	−	3.45777i	0.168647	−	0.134492i	0.704176	+	0.710025i	$0.251316\pi$
$662$	17.2284	−	16.3901i	0.669600	−	0.637021i
$663$	0.183821	+	0.805374i	0.00713903	+	0.0312781i
$664$	−3.62820	−	6.86466i	−0.140801	−	0.266400i
$665$	16.5681	+	1.32857i	0.642482	+	0.0515196i
$666$	2.12221	−	15.3790i	0.0822341	−	0.595924i
$667$			29.3426i			1.13615i
$668$	34.1612	−	6.02387i	1.32174	−	0.233070i
$669$	−0.365626	+	1.60191i	−0.0141359	+	0.0619335i
$670$	33.4599	−	19.8785i	1.29267	−	0.767975i
$671$	1.10827	+	1.38972i	0.0427842	+	0.0536497i
$672$	14.8365	−	1.96896i	0.572332	−	0.0759541i
$673$	−11.5428	+	14.4742i	−0.444940	+	0.557938i	−0.952838	−	0.303480i	$-0.901851\pi$
$673$	−11.5428	+	14.4742i	−0.444940	+	0.557938i	0.507897	+	0.861418i	$0.330423\pi$
$674$	5.70057	−	41.3101i	0.219578	−	1.59121i
$675$	−0.955949	+	1.19872i	−0.0367945	+	0.0461388i
$676$	−17.2511	+	12.4029i	−0.663502	+	0.477035i
$677$	−12.3395	+	9.84041i	−0.474245	+	0.378198i	−0.831245	−	0.555907i	$-0.812371\pi$
$677$	−12.3395	+	9.84041i	−0.474245	+	0.378198i	0.357000	+	0.934104i	$0.383800\pi$
$678$	1.11944	+	0.423314i	0.0429918	+	0.0162573i
$679$	−29.8685	+	11.5430i	−1.14625	+	0.442981i
$680$	2.93635	−	2.52701i	0.112604	−	0.0969063i
$681$	−16.2128	−	7.80767i	−0.621275	−	0.299190i
$682$	−2.19018	+	0.705612i	−0.0838664	+	0.0270193i
$683$	−12.8997	+	26.7866i	−0.493594	+	1.02496i	0.494222	+	0.869336i	$0.335453\pi$
$683$	−12.8997	+	26.7866i	−0.493594	+	1.02496i	−0.987816	+	0.155624i	$0.950261\pi$
$684$	−2.35089	+	4.31705i	−0.0898885	+	0.165067i
$685$			35.4405i			1.35411i
$686$	−22.7241	+	13.0236i	−0.867612	+	0.497243i
$687$		−	8.60691i		−	0.328374i
$688$	7.04111	+	2.36554i	0.268440	+	0.0901854i
$689$	−2.58505	+	5.36791i	−0.0984825	+	0.204501i
$690$	6.67682	+	20.7245i	0.254182	+	0.788967i
$691$	−22.3823	−	10.7787i	−0.851462	−	0.410043i	−0.0433421	−	0.999060i	$-0.513801\pi$
$691$	−22.3823	−	10.7787i	−0.851462	−	0.410043i	−0.808120	+	0.589018i	$0.799515\pi$
$692$	12.8580	+	17.8841i	0.488789	+	0.679851i
$693$	−0.645243	+	0.249362i	−0.0245107	+	0.00947248i
$694$	−9.50605	+	25.1384i	−0.360845	+	0.954242i
$695$	13.8930	−	11.0793i	0.526993	−	0.420263i
$696$	−10.4434	+	8.98753i	−0.395856	+	0.340671i
$697$	3.80713	−	4.77398i	0.144205	−	0.180828i
$698$	−8.90262	−	1.22851i	−0.336969	−	0.0464999i
$699$	−13.5748	+	17.0223i	−0.513448	+	0.643843i
$700$	8.04473	+	1.05072i	0.304062	+	0.0397135i
$701$	−7.59081	−	9.51858i	−0.286701	−	0.359512i	0.617536	−	0.786543i	$-0.288131\pi$
$701$	−7.59081	−	9.51858i	−0.286701	−	0.359512i	−0.904237	+	0.427031i	$0.859560\pi$
$702$	−1.11354	−	1.87433i	−0.0420279	−	0.0707421i
$703$	6.00386	−	26.3046i	0.226440	−	0.992098i
$704$	−1.04588	−	1.81140i	−0.0394181	−	0.0682697i
$705$		−	4.32544i		−	0.162905i
$706$	−29.7312	−	4.10274i	−1.11895	−	0.154409i
$707$	0.883224	+	0.0708244i	0.0332171	+	0.00266363i
$708$	10.6808	+	25.3373i	0.401411	+	0.952234i
$709$	7.52757	+	32.9804i	0.282704	+	1.23861i	0.894311	+	0.447445i	$0.147666\pi$
$709$	7.52757	+	32.9804i	0.282704	+	1.23861i	−0.611608	+	0.791161i	$0.709477\pi$
$710$	−15.1804	−	15.9568i	−0.569712	−	0.598848i
$711$	−6.80611	+	5.42769i	−0.255249	+	0.203554i
$712$	−7.82554	+	4.13606i	−0.293274	+	0.155005i
$713$	36.5452	−	8.34120i	1.36863	−	0.312380i
$714$	−1.26144	−	1.55847i	−0.0472082	−	0.0583242i
$715$	1.00441	+	0.229250i	0.0375627	+	0.00857345i
$716$	−3.56770	−	20.2323i	−0.133331	−	0.756117i
$717$		−	23.5888i		−	0.880939i
$718$	5.36859	+	0.740835i	0.200354	+	0.0276477i
$719$	37.1952	−	17.9123i	1.38715	−	0.668015i	0.416637	−	0.909073i	$-0.363208\pi$
$719$	37.1952	−	17.9123i	1.38715	−	0.668015i	0.970511	+	0.241057i	$0.0774942\pi$
$720$	−5.33103	+	8.72420i	−0.198676	+	0.325132i
$721$	−0.740386	+	9.23307i	−0.0275734	+	0.343857i
$722$	10.1343	−	15.2700i	0.377159	−	0.568290i
$723$	−20.7811	−	4.74314i	−0.772856	−	0.176399i
$724$	−39.6112	−	21.5706i	−1.47214	−	0.801666i
$725$	−6.72921	+	3.24062i	−0.249917	+	0.120354i
$726$	−10.6558	−	11.2007i	−0.395472	−	0.415698i
$727$	−15.4130	−	7.42252i	−0.571638	−	0.275286i	0.125654	−	0.992074i	$-0.459897\pi$
$727$	−15.4130	−	7.42252i	−0.571638	−	0.275286i	−0.697291	+	0.716788i	$0.745612\pi$
$728$	−5.44356	+	10.1713i	−0.201752	+	0.376972i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−9.61505	−	3.63591i	−0.355869	−	0.134571i
$731$	−0.221425	−	0.970124i	−0.00818968	−	0.0358813i
$732$	3.68251	−	13.0889i	0.136109	−	0.483779i
$733$	−35.6874	−	28.4598i	−1.31814	−	1.05119i	−0.994471	−	0.105016i	$-0.966511\pi$
$733$	−35.6874	−	28.4598i	−1.31814	−	1.05119i	−0.323674	−	0.946169i	$-0.604918\pi$
$734$	37.7377	−	3.30180i	1.39292	−	0.121872i
$735$	2.85115	−	17.6635i	0.105166	−	0.651528i
$736$	14.4010	+	30.8812i	0.530829	+	1.13830i
$737$	−1.75516	+	2.20091i	−0.0646523	+	0.0810714i
$738$	−5.69994	+	15.0733i	−0.209818	+	0.554856i
$739$	−2.89534	+	0.660842i	−0.106507	+	0.0243095i	−0.275442	−	0.961318i	$-0.588824\pi$
$739$	−2.89534	+	0.660842i	−0.106507	+	0.0243095i	0.168935	+	0.985627i	$0.445967\pi$
$740$	15.1985	−	54.0207i	0.558709	−	1.98584i
$741$	−1.64398	−	3.41377i	−0.0603932	−	0.125408i
$742$	−0.104894	−	14.4602i	−0.00385079	−	0.530851i
$743$	−17.6616	+	36.6747i	−0.647942	+	1.34546i	0.275342	+	0.961346i	$0.411209\pi$
$743$	−17.6616	+	36.6747i	−0.647942	+	1.34546i	−0.923284	+	0.384119i	$0.874505\pi$
$744$	14.1624	+	10.4520i	0.519219	+	0.383190i
$745$	3.36982	+	6.99750i	0.123461	+	0.256369i
$746$	−5.63053	+	8.48389i	−0.206148	+	0.310617i
$747$	0.610856	−	2.67634i	0.0223501	−	0.0979220i
$748$	−0.134009	+	0.246087i	−0.00489985	+	0.00899784i
$749$	−0.338890	−	0.198023i	−0.0123828	−	0.00723560i
$750$	9.07926	−	8.63751i	0.331528	−	0.315397i
$751$	−17.8751	−	37.1181i	−0.652273	−	1.35446i	−0.920363	−	0.391065i	$-0.872107\pi$
$751$	−17.8751	−	37.1181i	−0.652273	−	1.35446i	0.268090	−	0.963394i	$-0.413608\pi$
$752$	−0.841811	−	6.71648i	−0.0306977	−	0.244925i
$753$	−3.70312			−0.134949
$754$	−0.925671	−	10.5799i	−0.0337109	−	0.385297i
$755$	10.2076	−	44.7223i	0.371492	−	1.62761i
$756$	4.42999	+	2.89400i	0.161117	+	0.105254i
$757$	−8.36983	−	36.6706i	−0.304207	−	1.33282i	−0.863711	−	0.503988i	$-0.831865\pi$
$757$	−8.36983	−	36.6706i	−0.304207	−	1.33282i	0.559504	−	0.828828i	$-0.310992\pi$
$758$	27.9532	−	9.00571i	1.01531	−	0.327102i
$759$	−0.981926	−	1.23130i	−0.0356417	−	0.0446932i
$760$	−10.5513	+	14.2969i	−0.382736	+	0.518604i
$761$	−36.7334	+	8.38415i	−1.33158	+	0.303925i	−0.828343	−	0.560221i	$-0.810716\pi$
$761$	−36.7334	+	8.38415i	−1.33158	+	0.303925i	−0.503240	+	0.864146i	$0.667859\pi$
$762$	−11.5108	+	3.70844i	−0.416992	+	0.134343i
$763$	28.7464	+	9.03162i	1.04069	+	0.326966i
$764$	−45.7060	−	2.28067i	−1.65359	−	0.0825116i
$765$	1.36967			0.0495205
$766$	30.1687	−	2.63956i	1.09004	−	0.0953711i
$767$	−20.6630	−	4.71620i	−0.746098	−	0.170292i
$768$	−6.58005	+	14.5843i	−0.237437	+	0.526267i
$769$	37.1242	−	29.6056i	1.33873	−	1.06760i	0.347194	−	0.937793i	$-0.387135\pi$
$769$	37.1242	−	29.6056i	1.33873	−	1.06760i	0.991539	−	0.129810i	$-0.0414368\pi$
$770$	−2.43372	+	0.574085i	−0.0877050	+	0.0206886i
$771$	−8.38094	−	6.68357i	−0.301832	−	0.240703i
$772$	−1.34887	+	27.0323i	−0.0485470	+	0.972913i
$773$	−33.8196	−	26.9703i	−1.21641	−	0.970053i	−0.216428	−	0.976299i	$-0.569441\pi$
$773$	−33.8196	−	26.9703i	−1.21641	−	0.970053i	−0.999980	+	0.00624545i	$0.998012\pi$
$774$	1.34133	+	2.25775i	0.0482132	+	0.0811533i
$775$	5.94899	+	7.45980i	0.213694	+	0.267964i
$776$	6.36371	−	33.6356i	0.228444	−	1.20745i
$777$	−27.7087	−	8.70559i	−0.994044	−	0.312311i
$778$	−15.4145	+	9.15774i	−0.552636	+	0.328321i
$779$	−12.1518	+	25.2334i	−0.435383	+	0.904082i
$780$	−3.06122	−	7.26189i	−0.109609	−	0.260017i
$781$	1.43526	+	0.691187i	0.0513578	+	0.0247326i
$782$	2.52417	−	3.80334i	0.0902642	−	0.136007i
$783$	−4.87135			−0.174088
$784$	0.989581	−	27.9825i	0.0353422	−	0.999375i
$785$	2.93219			0.104654
$786$	16.7096	−	25.1774i	0.596010	−	0.898048i
$787$	−25.6198	−	12.3378i	−0.913247	−	0.439797i	−0.0825917	−	0.996583i	$-0.526320\pi$
$787$	−25.6198	−	12.3378i	−0.913247	−	0.439797i	−0.830655	+	0.556787i	$0.812034\pi$
$788$	0.449697	+	1.06678i	0.0160198	+	0.0380024i
$789$	−8.32502	+	17.2871i	−0.296378	+	0.615436i
$790$	−27.0535	+	16.0725i	−0.962519	+	0.571833i
$791$	1.12961	−	1.93318i	0.0401643	−	0.0687359i
$792$	0.137474	−	0.726623i	0.00488492	−	0.0258194i
$793$	6.53457	+	8.19409i	0.232049	+	0.290981i
$794$	−8.19507	−	13.7941i	−0.290832	−	0.489534i
$795$	7.72323	+	6.15907i	0.273915	+	0.218440i
$796$	0.333027	−	6.67408i	0.0118038	−	0.236556i
$797$	−3.45727	−	2.75708i	−0.122463	−	0.0976609i	0.560343	−	0.828260i	$-0.310669\pi$
$797$	−3.45727	−	2.75708i	−0.122463	−	0.0976609i	−0.682806	+	0.730600i	$0.739241\pi$
$798$	7.23139	+	5.68152i	0.255988	+	0.201123i
$799$	−0.708975	+	0.565389i	−0.0250817	+	0.0200020i
$800$	−5.49162	+	6.71318i	−0.194158	+	0.237347i
$801$	−3.05096	−	0.696361i	−0.107800	−	0.0246047i
$802$	−5.50126	+	0.481324i	−0.194256	+	0.0169961i
$803$	0.743526			0.0262385
$804$	21.5069	+	1.07316i	0.758489	+	0.0378476i
$805$	40.3106	−	5.86091i	1.42076	−	0.206570i
$806$	−12.9138	+	4.16043i	−0.454868	+	0.146545i
$807$	−22.9907	+	5.24748i	−0.809312	+	0.184720i
$808$	−0.562478	+	0.762153i	−0.0197879	+	0.0268124i
$809$	−21.5361	−	27.0054i	−0.757169	−	0.949460i	0.242617	−	0.970122i	$-0.421994\pi$
$809$	−21.5361	−	27.0054i	−0.757169	−	0.949460i	−0.999787	+	0.0206620i	$0.993423\pi$
$810$	−3.44060	+	1.10846i	−0.120891	+	0.0389474i
$811$	3.12596	+	13.6957i	0.109767	+	0.480922i	0.999692	+	0.0248147i	$0.00789959\pi$
$811$	3.12596	+	13.6957i	0.109767	+	0.480922i	−0.889925	+	0.456107i	$0.849243\pi$
$812$	13.3262	+	22.0648i	0.467657	+	0.774322i
$813$	−3.08705	+	13.5252i	−0.108268	+	0.474351i
$814$	0.353789	+	4.04361i	0.0124003	+	0.141728i
$815$	16.1274			0.564919
$816$	2.12680	−	0.266563i	0.0744530	−	0.00933158i
$817$	1.98028	+	4.11210i	0.0692813	+	0.143864i
$818$	−17.8489	+	16.9805i	−0.624072	+	0.593708i
$819$	−3.80448	+	1.47029i	−0.132939	+	0.0513760i
$820$	−27.8587	+	51.1583i	−0.972868	+	1.78653i
$821$	−9.02350	+	39.5345i	−0.314922	+	1.37976i	0.531413	+	0.847113i	$0.321661\pi$
$821$	−9.02350	+	39.5345i	−0.314922	+	1.37976i	−0.846335	+	0.532651i	$0.821196\pi$
$822$	−10.8431	+	16.3380i	−0.378197	+	0.569855i
$823$	16.3325	+	33.9147i	0.569314	+	1.18219i	0.964620	+	0.263644i	$0.0849243\pi$
$823$	16.3325	+	33.9147i	0.569314	+	1.18219i	−0.395306	+	0.918549i	$0.629361\pi$
$824$	−7.96741	−	5.88004i	−0.277558	−	0.204841i
$825$	0.173932	−	0.361173i	0.00605553	−	0.0125744i
$826$	50.0672	−	11.8103i	1.74206	−	0.410931i
$827$	−2.12267	−	4.40777i	−0.0738124	−	0.153273i	0.860797	−	0.508948i	$-0.169965\pi$
$827$	−2.12267	−	4.40777i	−0.0738124	−	0.153273i	−0.934610	+	0.355675i	$0.884251\pi$
$828$	−3.26271	+	11.5968i	−0.113387	+	0.403015i
$829$	−6.91831	+	1.57906i	−0.240283	+	0.0548430i	−0.340966	−	0.940076i	$-0.610754\pi$
$829$	−6.91831	+	1.57906i	−0.240283	+	0.0548430i	0.100683	+	0.994919i	$0.467897\pi$
$830$	3.50983	−	9.28164i	0.121828	−	0.322170i
$831$	4.52638	−	5.67591i	0.157019	−	0.196895i
$832$	−6.16672	−	10.6804i	−0.213793	−	0.370276i
$833$	−3.26788	+	1.84151i	−0.113225	+	0.0638047i
$834$	9.79444	−	0.856949i	0.339154	−	0.0296737i
$835$	34.6600	+	27.6405i	1.19946	+	0.956537i
$836$	0.348081	−	1.23720i	0.0120386	−	0.0427894i
$837$	1.38478	+	6.06710i	0.0478649	+	0.209710i
$838$	−32.1551	−	12.1594i	−1.11078	−	0.420039i
$839$	−17.3418	+	8.35137i	−0.598705	+	0.288321i	−0.708587	−	0.705623i	$-0.750667\pi$
$839$	−17.3418	+	8.35137i	−0.598705	+	0.288321i	0.109882	+	0.993945i	$0.464953\pi$
$840$	14.4330	+	12.5519i	0.497985	+	0.433081i
$841$	4.74807	+	2.28655i	0.163727	+	0.0788466i
$842$	−2.26849	−	2.38451i	−0.0781773	−	0.0821755i
$843$	16.9939	−	8.18383i	0.585301	−	0.281866i
$844$	−46.1407	−	25.1263i	−1.58823	−	0.864884i
$845$	−26.4729	−	6.04227i	−0.910696	−	0.207860i
$846$	1.32338	−	1.99402i	0.0454987	−	0.0685559i
$847$	−23.9815	+	16.1677i	−0.824014	+	0.555528i
$848$	13.1912	+	8.06064i	0.452988	+	0.276803i
$849$	25.4372	−	12.2499i	0.873002	−	0.420415i
$850$	1.15100	+	0.158832i	0.0394790	+	0.00544789i
$851$		−	66.1238i		−	2.26669i
$852$	−2.11614	−	12.0006i	−0.0724978	−	0.411133i
$853$	43.9253	+	10.0257i	1.50397	+	0.343272i	0.893608	−	0.448847i	$-0.148165\pi$
$853$	43.9253	+	10.0257i	1.50397	+	0.343272i	0.610366	+	0.792120i	$0.291022\pi$
$854$	−22.9981	−	10.8705i	−0.786978	−	0.371980i
$855$	−6.12473	+	1.39793i	−0.209461	+	0.0478082i
$856$	0.370976	−	0.196073i	0.0126797	−	0.00670165i
$857$	5.44516	−	4.34237i	0.186003	−	0.148333i	−0.526061	−	0.850447i	$-0.676332\pi$
$857$	5.44516	−	4.34237i	0.186003	−	0.148333i	0.712065	+	0.702114i	$0.247760\pi$
$858$	0.392892	+	0.412986i	0.0134131	+	0.0140991i
$859$	1.05817	+	4.63616i	0.0361044	+	0.158184i	0.989767	−	0.142696i	$-0.0455770\pi$
$859$	1.05817	+	4.63616i	0.0361044	+	0.158184i	−0.953662	+	0.300879i	$0.902720\pi$
$860$	3.68744	+	8.74741i	0.125741	+	0.298284i
$861$	26.0303	+	15.2102i	0.887111	+	0.518364i
$862$	8.25331	+	1.13891i	0.281109	+	0.0387915i
$863$			35.6105i			1.21220i	0.795390	+	0.606098i	$0.207266\pi$
$863$			35.6105i			1.21220i	−0.795390	+	0.606098i	$0.792734\pi$
$864$	−5.12680	+	2.39081i	−0.174417	+	0.0813370i
$865$	−6.26399	+	27.4443i	−0.212982	+	0.933136i
$866$	−9.51124	−	16.0095i	−0.323205	−	0.544025i
$867$	10.4203	+	13.0666i	0.353892	+	0.443766i
$868$	23.6927	−	22.8696i	0.804183	−	0.776246i
$869$	1.41911	−	1.77951i	0.0481400	−	0.0603657i
$870$	−17.4434	−	2.40710i	−0.591388	−	0.0816082i
$871$	−10.3488	+	12.9770i	−0.350656	+	0.439709i
$872$	−24.4157	+	21.0120i	−0.826820	+	0.711556i
$873$	9.46246	−	7.54606i	0.320256	−	0.255396i
$874$	−7.40550	+	19.5836i	−0.250495	+	0.662425i
$875$	−13.1054	−	19.4393i	−0.443045	−	0.657168i
$876$	−3.32011	−	4.61791i	−0.112176	−	0.156025i
$877$	28.0003	+	13.4842i	0.945503	+	0.455330i	0.842107	−	0.539310i	$-0.181315\pi$
$877$	28.0003	+	13.4842i	0.945503	+	0.455330i	0.103396	+	0.994640i	$0.467029\pi$
$878$	−18.0134	−	55.9128i	−0.607924	−	1.88696i
$879$	−9.22159	+	19.1488i	−0.311036	+	0.645874i
$880$	0.851318	−	2.53397i	0.0286979	−	0.0854203i
$881$		−	42.5793i		−	1.43453i	−0.696800	−	0.717266i	$-0.745393\pi$
$881$		−	42.5793i		−	1.43453i	0.696800	−	0.717266i	$-0.254607\pi$
$882$	6.71857	−	7.27054i	0.226226	−	0.244812i
$883$		−	37.1048i		−	1.24867i	−0.781155	−	0.624337i	$-0.785369\pi$
$883$		−	37.1048i		−	1.24867i	0.781155	−	0.624337i	$-0.214631\pi$
$884$	−0.790144	+	1.45098i	−0.0265754	+	0.0488017i
$885$	−15.2470	+	31.6608i	−0.512523	+	1.06426i
$886$	−55.3883	+	17.8445i	−1.86081	+	0.599497i
$887$	−21.2309	−	10.2243i	−0.712865	−	0.343298i	0.0420545	−	0.999115i	$-0.486610\pi$
$887$	−21.2309	−	10.2243i	−0.712865	−	0.343298i	−0.754919	+	0.655818i	$0.772324\pi$
$888$	23.5343	−	20.2535i	0.789760	−	0.679663i
$889$	3.25527	+	22.3893i	0.109178	+	0.750914i
$890$	−10.5808	−	4.00112i	−0.354670	−	0.134118i
$891$	0.204416	−	0.163016i	0.00684818	−	0.00546124i
$892$	−2.66818	+	1.91833i	−0.0893374	+	0.0642305i
$893$	2.59326	−	3.25185i	0.0867802	−	0.108819i
$894$	−0.587422	+	4.25685i	−0.0196463	+	0.142370i
$895$	16.3704	−	20.5278i	0.547201	−	0.686168i
$896$	24.8541	+	16.6815i	0.830319	+	0.557289i
$897$	−5.78964	−	7.25998i	−0.193310	−	0.242404i
$898$	39.3098	−	23.3540i	1.31179	−	0.779332i
$899$	−6.74573	+	29.5550i	−0.224983	+	0.985713i
$900$	−3.01985	+	0.532511i	−0.100662	+	0.0177504i
$901$		−	2.07097i		−	0.0689941i
$902$	0.575966	−	4.17384i	0.0191776	−	0.138974i
$903$	4.58274	−	1.77106i	0.152504	−	0.0589371i
$904$	1.11849	+	2.11621i	0.0372004	+	0.0703841i
$905$	−12.8267	−	56.1976i	−0.426375	−	1.86807i
$906$	18.3886	−	17.4939i	0.610920	−	0.581196i
$907$	4.52058	−	3.60504i	0.150103	−	0.119703i	−0.545559	−	0.838073i	$-0.683683\pi$
$907$	4.52058	−	3.60504i	0.150103	−	0.119703i	0.695662	+	0.718369i	$0.255111\pi$
$908$	−13.9799	−	33.1635i	−0.463941	−	1.10057i
$909$	−0.326502	+	0.0745220i	−0.0108294	+	0.00247174i
$910$	−14.3497	+	3.38492i	−0.475688	+	0.112209i
$911$	24.2584	+	5.53682i	0.803716	+	0.183443i	0.604596	−	0.796532i	$-0.293335\pi$
$911$	24.2584	+	5.53682i	0.803716	+	0.183443i	0.199120	+	0.979975i	$0.436192\pi$
$912$	−9.23833	+	3.36267i	−0.305912	+	0.111349i
$913$			0.717743i			0.0237538i
$914$	−6.62331	+	47.9970i	−0.219080	+	1.58760i
$915$	15.6563	−	7.53966i	0.517580	−	0.249253i
$916$	11.3900	−	12.9067i	0.376337	−	0.426449i
$917$	−41.2398	−	38.6673i	−1.36186	−	1.27691i
$918$	0.631417	+	0.419054i	0.0208399	+	0.0138308i
$919$	35.5040	+	8.10356i	1.17117	+	0.267312i	0.763494	−	0.645815i	$-0.223482\pi$
$919$	35.5040	+	8.10356i	1.17117	+	0.267312i	0.407676	+	0.913127i	$0.366339\pi$
$920$	−17.4135	+	39.9137i	−0.574107	+	1.31592i
$921$	−25.4071	+	12.2354i	−0.837192	+	0.403171i
$922$	3.11464	−	2.96310i	0.102575	−	0.0975846i
$923$	8.46261	+	4.07538i	0.278550	+	0.134143i
$924$	−1.29758	−	0.479950i	−0.0426874	−	0.0157892i
$925$	15.1644	−	7.30277i	0.498601	−	0.240114i
$926$	−2.66612	+	7.05047i	−0.0876142	+	0.231693i
$927$	−0.779040	−	3.41320i	−0.0255870	−	0.112104i
$928$	−27.5544	−	0.342887i	−0.904517	−	0.0112558i
$929$	9.52360	+	7.59482i	0.312459	+	0.249178i	0.767145	−	0.641474i	$-0.221677\pi$
$929$	9.52360	+	7.59482i	0.312459	+	0.249178i	−0.454685	+	0.890652i	$0.650248\pi$
$930$	1.96068	+	22.4095i	0.0642932	+	0.734835i
$931$	12.7334	−	11.5700i	0.417321	−	0.379191i
$932$	−42.8831	+	7.56186i	−1.40468	+	0.247697i
$933$	−12.0593	+	15.1219i	−0.394803	+	0.495068i
$934$	21.0536	+	7.96137i	0.688894	+	0.260504i
$935$	−0.349131	+	0.0796870i	−0.0114178	+	0.00260604i
$936$	0.810574	−	4.28431i	0.0264944	−	0.140037i
$937$	12.0124	+	24.9441i	0.392429	+	0.814887i	0.999791	+	0.0204614i	$0.00651351\pi$
$937$	12.0124	+	24.9441i	0.392429	+	0.814887i	−0.607362	+	0.794425i	$0.707772\pi$
$938$	8.67929	−	39.3397i	0.283389	−	1.28449i
$939$	−4.47365	+	9.28964i	−0.145992	+	0.303156i
$940$	5.72410	−	6.48631i	0.186700	−	0.211560i
$941$	−23.8294	−	49.4823i	−0.776817	−	1.61308i	−0.789957	−	0.613162i	$-0.789897\pi$
$941$	−23.8294	−	49.4823i	−0.776817	−	1.61308i	0.0131403	−	0.999914i	$-0.495817\pi$
$942$	1.35174	+	0.897113i	0.0440421	+	0.0292295i
$943$	−15.2734	+	66.9171i	−0.497370	+	2.17912i
$944$	−17.5136	+	52.1297i	−0.570019	+	1.69668i
$945$	0.973008	+	6.69222i	0.0316520	+	0.217698i
$946$	−0.473263	−	0.497467i	−0.0153871	−	0.0161741i
$947$	−19.5901	−	40.6793i	−0.636594	−	1.32190i	−0.930579	−	0.366091i	$-0.880696\pi$
$947$	−19.5901	−	40.6793i	−0.636594	−	1.32190i	0.293985	−	0.955810i	$-0.405018\pi$
$948$	−17.3891	−	0.867690i	−0.564770	−	0.0281812i
$949$	4.38398			0.142310
$950$	−5.30903	+	0.464505i	−0.172248	+	0.0150705i
$951$	−0.852821	+	3.73645i	−0.0276546	+	0.121163i
$952$	0.170789	−	4.00638i	0.00553529	−	0.129847i
$953$	9.82650	+	43.0527i	0.318311	+	1.39461i	0.840513	+	0.541791i	$0.182254\pi$
$953$	9.82650	+	43.0527i	0.318311	+	1.39461i	−0.522202	+	0.852822i	$0.674889\pi$
$954$	1.67602	+	5.20227i	0.0542631	+	0.168430i
$955$	−36.4650	−	45.7257i	−1.17998	−	1.47965i
$956$	31.2164	−	35.3731i	1.00961	−	1.14405i
$957$	1.24172	−	0.283414i	0.0401390	−	0.00916146i
$958$	−8.23557	−	25.5628i	−0.266079	−	0.825896i
$959$	26.7612	+	25.0919i	0.864165	+	0.810260i
$960$	−19.5395	+	6.02774i	−0.630635	+	0.194544i
$961$	7.72729			0.249268
$962$	2.08601	+	23.8419i	0.0672557	+	0.768694i
$963$	0.144633	+	0.0330116i	0.00466074	+	0.00106378i
$964$	−24.8859	−	34.6135i	−0.801521	−	1.11483i
$965$	−27.0439	+	21.5668i	−0.870574	+	0.694260i
$966$	20.3763	+	9.63126i	0.655597	+	0.309881i
$967$	5.99621	+	4.78181i	0.192825	+	0.153773i	0.715143	−	0.698978i	$-0.246361\pi$
$967$	5.99621	+	4.78181i	0.192825	+	0.153773i	−0.522318	+	0.852750i	$0.674933\pi$
$968$	−1.15654	−	30.8977i	−0.0371727	−	0.993090i
$969$	1.02971	+	0.821168i	0.0330791	+	0.0263797i
$970$	37.6122	−	22.3454i	1.20765	−	0.717467i
$971$	−6.45879	−	8.09907i	−0.207273	−	0.259912i	0.667319	−	0.744772i	$-0.267442\pi$
$971$	−6.45879	−	8.09907i	−0.207273	−	0.259912i	−0.874592	+	0.484860i	$0.838870\pi$
$972$	−1.92525	−	0.541663i	−0.0617525	−	0.0173738i
$973$	1.47025	−	18.3349i	0.0471339	−	0.587789i
$974$	−27.0141	−	45.4706i	−0.865586	−	1.45697i
$975$	1.02554	−	2.12955i	0.0328435	−	0.0682003i
$976$	22.8435	−	14.7545i	0.731201	−	0.472279i
$977$	23.2167	+	11.1806i	0.742768	+	0.357698i	0.766692	−	0.642016i	$-0.221902\pi$
$977$	23.2167	+	11.1806i	0.742768	+	0.357698i	−0.0239237	+	0.999714i	$0.507616\pi$
$978$	7.43473	+	4.93423i	0.237736	+	0.157779i
$979$	0.818209			0.0261501
$980$	27.6506	−	22.7146i	0.883267	−	0.725592i
$981$	−11.3888			−0.363615
$982$	1.28120	+	0.850301i	0.0408849	+	0.0271342i
$983$	26.8930	+	12.9510i	0.857755	+	0.413073i	0.810450	−	0.585808i	$-0.199223\pi$
$983$	26.8930	+	12.9510i	0.857755	+	0.413073i	0.0473046	+	0.998881i	$0.484937\pi$
$984$	−28.4949	+	15.0605i	−0.908383	+	0.480111i
$985$	−0.641947	+	1.33302i	−0.0204541	+	0.0424735i
$986$	1.88553	+	3.17376i	0.0600476	+	0.101073i
$987$	−3.26615	−	3.06241i	−0.103963	−	0.0974777i
$988$	2.05236	−	7.29478i	0.0652942	−	0.232078i
$989$	6.97399	+	8.74511i	0.221760	+	0.278078i
$990$	0.812527	−	0.482722i	0.0258238	−	0.0153419i
$991$	3.61231	+	2.88072i	0.114749	+	0.0915090i	0.679183	−	0.733969i	$-0.262334\pi$
$991$	3.61231	+	2.88072i	0.114749	+	0.0915090i	−0.564434	+	0.825478i	$0.690906\pi$
$992$	7.40581	+	34.4155i	0.235135	+	1.09269i
$993$	13.1461	+	10.4837i	0.417179	+	0.332689i
$994$	−22.7968	+	0.165368i	−0.723071	+	0.00524514i
$995$	6.67695	−	5.32469i	0.211673	−	0.168804i
$996$	4.45777	−	3.20498i	0.141250	−	0.101554i
$997$	−7.52902	−	1.71845i	−0.238446	−	0.0544238i	0.101628	−	0.994823i	$-0.467595\pi$
$997$	−7.52902	−	1.71845i	−0.238446	−	0.0544238i	−0.340074	+	0.940399i	$0.610452\pi$
$998$	2.41270	+	27.5759i	0.0763728	+	0.872899i
$999$	10.9776			0.347317

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.9	✓	168
4.3	odd	2		588.2.x.b.55.8	yes	168
49.41	odd	14		588.2.x.b.139.8	yes	168
196.139	even	14	inner	588.2.x.a.139.9	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.9	✓	168	1.1	even	1	trivial
588.2.x.a.139.9	yes	168	196.139	even	14	inner
588.2.x.b.55.8	yes	168	4.3	odd	2
588.2.x.b.139.8	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.782021 + 1.17832i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.776887 - 1.84295i) q^{4} +(1.10901 - 2.30289i) q^{5} +(1.21583 - 0.722326i) q^{6} +(-0.953739 - 2.46787i) q^{7} +(2.77913 + 0.525799i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.782021 + 1.17832i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.776887 - 1.84295i) q^{4} +(1.10901 - 2.30289i) q^{5} +(1.21583 - 0.722326i) q^{6} +(-0.953739 - 2.46787i) q^{7} +(2.77913 + 0.525799i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.84628 + 3.10769i) q^{10} +(-0.204416 - 0.163016i) q^{11} +(-0.0996732 + 1.99751i) q^{12} +(-1.20528 - 0.961175i) q^{13} +(3.65379 + 0.806114i) q^{14} +(-1.99837 + 1.59365i) q^{15} +(-2.79289 + 2.86352i) q^{16} +(0.522426 + 0.119240i) q^{17} +(-1.40883 + 0.123263i) q^{18} -2.45782 q^{19} +(-5.10568 - 0.254766i) q^{20} +(-0.211480 + 2.63729i) q^{21} +(0.351943 - 0.113386i) q^{22} +(-5.87248 + 1.34035i) q^{23} +(-2.27577 - 1.67955i) q^{24} +(-0.955949 - 1.19872i) q^{25} +(2.07513 - 0.668544i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-3.80720 + 3.67494i) q^{28} +(1.08398 - 4.74921i) q^{29} +(-0.315063 - 3.60100i) q^{30} -6.22313 q^{31} +(-1.19005 - 5.53026i) q^{32} +(0.113442 + 0.235565i) q^{33} +(-0.549051 + 0.522337i) q^{34} +(-6.74095 - 0.540546i) q^{35} +(0.956492 - 1.75645i) q^{36} +(-2.44275 + 10.7024i) q^{37} +(1.92207 - 2.89611i) q^{38} +(0.668878 + 1.38894i) q^{39} +(4.29295 - 5.81691i) q^{40} +(4.94412 - 10.2666i) q^{41} +(-2.94219 - 2.31160i) q^{42} +(-0.805706 - 1.67307i) q^{43} +(-0.141622 + 0.503372i) q^{44} +(2.49193 - 0.568767i) q^{45} +(3.01303 - 7.96786i) q^{46} +(-1.05510 + 1.32306i) q^{47} +(3.75875 - 1.36815i) q^{48} +(-5.18077 + 4.70741i) q^{49} +(2.16005 - 0.188990i) q^{50} +(-0.418953 - 0.334104i) q^{51} +(-0.835031 + 2.96798i) q^{52} +(-0.859989 - 3.76786i) q^{53} +(1.32280 + 0.500213i) q^{54} +(-0.602108 + 0.289960i) q^{55} +(-1.35296 - 7.35999i) q^{56} +(2.21442 + 1.06641i) q^{57} +(4.74841 + 4.99126i) q^{58} +(12.3868 - 5.96515i) q^{59} +(4.48952 + 2.44481i) q^{60} +(-6.62807 - 1.51281i) q^{61} +(4.86661 - 7.33285i) q^{62} +(1.33481 - 2.28435i) q^{63} +(7.44707 + 2.92252i) q^{64} +(-3.55015 + 1.70966i) q^{65} +(-0.366285 - 0.0505453i) q^{66} -10.7668i q^{67} +(-0.186112 - 1.05544i) q^{68} +(5.87248 + 1.34035i) q^{69} +(5.90850 - 7.52029i) q^{70} +(-5.94010 + 1.35579i) q^{71} +(1.32167 + 2.50064i) q^{72} +(-2.22335 + 1.77307i) q^{73} +(-10.7006 - 11.2479i) q^{74} +(0.341174 + 1.49478i) q^{75} +(1.90945 + 4.52963i) q^{76} +(-0.207343 + 0.659946i) q^{77} +(-2.15969 - 0.298026i) q^{78} +8.70534i q^{79} +(3.49702 + 9.60742i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(8.23093 + 13.8545i) q^{82} +(-1.71158 - 2.14625i) q^{83} +(5.02467 - 1.65913i) q^{84} +(0.853975 - 1.07085i) q^{85} +(2.60149 + 0.358991i) q^{86} +(-3.03724 + 3.80857i) q^{87} +(-0.482383 - 0.560523i) q^{88} +(-2.44668 + 1.95116i) q^{89} +(-1.27855 + 3.38109i) q^{90} +(-1.22254 + 3.89117i) q^{91} +(7.03245 + 9.78135i) q^{92} +(5.60684 + 2.70011i) q^{93} +(-0.733876 - 2.27791i) q^{94} +(-2.72576 + 5.66010i) q^{95} +(-1.32729 + 5.49894i) q^{96} -12.1029i q^{97} +(-1.49537 - 9.78590i) q^{98} -0.261457i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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