LMFDB - Embedded newform 354.2.e.b.25.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, 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:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$2$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			25.1
Character	$\chi$	$=$	354.25
Dual form			354.2.e.b.85.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.796093 - 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-1.39125 - 1.31786i) q^{5} +(-0.161782 + 0.986827i) q^{6} +(1.52711 - 1.79785i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +O(q^{10})$	\(q+(-0.796093 - 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-1.39125 - 1.31786i) q^{5} +(-0.161782 + 0.986827i) q^{6} +(1.52711 - 1.79785i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +(0.310029 + 1.89109i) q^{10} +(-2.11501 - 1.27256i) q^{11} +(0.725995 - 0.687699i) q^{12} +(0.133824 + 0.197375i) q^{13} +(-2.30374 + 0.507091i) q^{14} +(-0.512674 + 1.84649i) q^{15} +(-0.856857 + 0.515554i) q^{16} +(-0.891081 - 1.04906i) q^{17} +(0.947653 - 0.319302i) q^{18} +(-3.44304 + 1.59292i) q^{19} +(0.897628 - 1.69311i) q^{20} +(-2.30374 - 0.507091i) q^{21} +(0.913624 + 2.29302i) q^{22} +(-5.80152 - 1.95476i) q^{23} +(-0.994138 + 0.108119i) q^{24} +(-0.0718779 - 1.32571i) q^{25} +(0.0129103 - 0.238116i) q^{26} +(0.994138 + 0.108119i) q^{27} +(2.14087 + 0.990471i) q^{28} +(-3.70371 + 2.81549i) q^{29} +(1.52558 - 1.15972i) q^{30} +(-1.25482 - 0.580542i) q^{31} +(0.994138 + 0.108119i) q^{32} +(-0.133633 + 2.46471i) q^{33} +(0.0745183 + 1.37441i) q^{34} +(-4.49392 + 0.488743i) q^{35} +(-0.947653 - 0.319302i) q^{36} +(-0.0444409 - 0.111538i) q^{37} +(3.70497 + 0.815526i) q^{38} +(0.111699 - 0.210687i) q^{39} +(-1.73922 + 0.804649i) q^{40} +(-0.681705 + 0.229693i) q^{41} +(1.52711 + 1.79785i) q^{42} +(0.00778095 - 0.00468164i) q^{43} +(0.660349 - 2.37836i) q^{44} +(1.87153 - 0.411956i) q^{45} +(3.43558 + 5.06710i) q^{46} +(6.61093 - 6.26221i) q^{47} +(0.856857 + 0.515554i) q^{48} +(0.232262 + 1.41674i) q^{49} +(-0.745064 + 1.09889i) q^{50} +(-0.509469 + 1.27867i) q^{51} +(-0.154379 + 0.181750i) q^{52} +(-0.243356 + 1.48441i) q^{53} +(-0.725995 - 0.687699i) q^{54} +(1.26545 + 4.55774i) q^{55} +(-1.10492 - 2.08411i) q^{56} +(3.02011 + 2.29583i) q^{57} +4.65235 q^{58} +(-1.40286 - 7.55195i) q^{59} -1.91634 q^{60} +(-3.50593 - 2.66514i) q^{61} +(0.647625 + 1.22155i) q^{62} +(0.631069 + 2.27291i) q^{63} +(-0.725995 - 0.687699i) q^{64} +(0.0739312 - 0.450960i) q^{65} +(1.59796 - 1.88127i) q^{66} +(0.720240 - 1.80767i) q^{67} +(0.772434 - 1.13925i) q^{68} +(0.990428 + 6.04134i) q^{69} +(3.87335 + 2.33052i) q^{70} +(7.79009 - 7.37916i) q^{71} +(0.561187 + 0.827689i) q^{72} +(2.51388 - 0.553346i) q^{73} +(-0.0321210 + 0.115689i) q^{74} +(-1.13761 + 0.684479i) q^{75} +(-2.45597 - 2.89139i) q^{76} +(-5.51773 + 1.85914i) q^{77} +(-0.216426 + 0.100129i) q^{78} +(7.51128 - 14.1678i) q^{79} +(1.87153 + 0.411956i) q^{80} +(-0.370138 - 0.928977i) q^{81} +(0.681705 + 0.229693i) q^{82} +(13.4976 - 1.46796i) q^{83} +(-0.127708 - 2.35543i) q^{84} +(-0.142802 + 2.63383i) q^{85} +(-0.00902757 - 0.000981808i) q^{86} +(4.22236 + 1.95347i) q^{87} +(-1.96502 + 1.49377i) q^{88} +(0.118176 - 0.0898349i) q^{89} +(-1.73922 - 0.804649i) q^{90} +(0.559216 + 0.0608184i) q^{91} +(0.331438 - 6.11301i) q^{92} +(0.0748529 + 1.38058i) q^{93} +(-9.05264 + 0.984534i) q^{94} +(6.88938 + 2.32130i) q^{95} +(-0.370138 - 0.928977i) q^{96} +(10.8674 + 2.39211i) q^{97} +(0.672471 - 1.26841i) q^{98} +(2.24020 - 1.03643i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) $ 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9} + 2 q^{10} + 30 q^{11} + 2 q^{12} + 5 q^{13} + 28 q^{14} + 2 q^{15} - 2 q^{16} - 3 q^{17} + 2 q^{18} - 4 q^{19} - 2 q^{20} + 28 q^{21} - q^{22} - 2 q^{23} - 2 q^{24} + 64 q^{25} - 34 q^{26} + 2 q^{27} + q^{28} + 8 q^{29} - 2 q^{30} + 2 q^{32} - q^{33} + 32 q^{34} - 87 q^{35} - 2 q^{36} + 47 q^{37} + 4 q^{38} - 5 q^{39} + 2 q^{40} + 3 q^{41} + q^{42} - 61 q^{43} + q^{44} - 2 q^{45} - 27 q^{46} + 50 q^{47} + 2 q^{48} - 45 q^{49} - 6 q^{50} + 3 q^{51} - 24 q^{52} - 27 q^{53} - 2 q^{54} - 95 q^{55} - q^{56} + 4 q^{57} + 50 q^{58} - 58 q^{59} + 2 q^{60} - 74 q^{61} - 29 q^{62} + q^{63} - 2 q^{64} - 17 q^{65} + q^{66} + 4 q^{67} - 32 q^{68} + 31 q^{69} - 58 q^{70} - 47 q^{71} + 2 q^{72} + 43 q^{73} - 18 q^{74} - 6 q^{75} - 33 q^{76} - 5 q^{77} + 5 q^{78} + 19 q^{79} - 2 q^{80} - 2 q^{81} - 3 q^{82} + 47 q^{83} - q^{84} - 149 q^{85} - 55 q^{86} + 21 q^{87} + 28 q^{88} + 36 q^{89} + 2 q^{90} + 175 q^{91} - 2 q^{92} - 29 q^{93} - 21 q^{94} + 50 q^{95} - 2 q^{96} + 10 q^{97} - 13 q^{98} + q^{99}+O(q^{100}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9 + 2 * q^10 + 30 * q^11 + 2 * q^12 + 5 * q^13 + 28 * q^14 + 2 * q^15 - 2 * q^16 - 3 * q^17 + 2 * q^18 - 4 * q^19 - 2 * q^20 + 28 * q^21 - q^22 - 2 * q^23 - 2 * q^24 + 64 * q^25 - 34 * q^26 + 2 * q^27 + q^28 + 8 * q^29 - 2 * q^30 + 2 * q^32 - q^33 + 32 * q^34 - 87 * q^35 - 2 * q^36 + 47 * q^37 + 4 * q^38 - 5 * q^39 + 2 * q^40 + 3 * q^41 + q^42 - 61 * q^43 + q^44 - 2 * q^45 - 27 * q^46 + 50 * q^47 + 2 * q^48 - 45 * q^49 - 6 * q^50 + 3 * q^51 - 24 * q^52 - 27 * q^53 - 2 * q^54 - 95 * q^55 - q^56 + 4 * q^57 + 50 * q^58 - 58 * q^59 + 2 * q^60 - 74 * q^61 - 29 * q^62 + q^63 - 2 * q^64 - 17 * q^65 + q^66 + 4 * q^67 - 32 * q^68 + 31 * q^69 - 58 * q^70 - 47 * q^71 + 2 * q^72 + 43 * q^73 - 18 * q^74 - 6 * q^75 - 33 * q^76 - 5 * q^77 + 5 * q^78 + 19 * q^79 - 2 * q^80 - 2 * q^81 - 3 * q^82 + 47 * q^83 - q^84 - 149 * q^85 - 55 * q^86 + 21 * q^87 + 28 * q^88 + 36 * q^89 + 2 * q^90 + 175 * q^91 - 2 * q^92 - 29 * q^93 - 21 * q^94 + 50 * q^95 - 2 * q^96 + 10 * q^97 - 13 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{6}{29}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.796093	−	0.605174i	−0.562923	−	0.427923i
$2$	−0.796093	−	0.605174i	−0.562923	−	0.427923i
$3$	−0.468408	−	0.883512i	−0.270436	−	0.510096i
$3$	−0.468408	−	0.883512i	−0.270436	−	0.510096i
$4$	0.267528	+	0.963550i	0.133764	+	0.481775i
$5$	−1.39125	−	1.31786i	−0.622186	−	0.589366i	0.310270	−	0.950648i	$-0.399581\pi$
$5$	−1.39125	−	1.31786i	−0.622186	−	0.589366i	−0.932457	+	0.361282i	$0.882339\pi$
$6$	−0.161782	+	0.986827i	−0.0660472	+	0.402870i
$7$	1.52711	−	1.79785i	0.577194	−	0.679525i	−0.393644	−	0.919263i	$-0.628786\pi$
$7$	1.52711	−	1.79785i	0.577194	−	0.679525i	0.970838	+	0.239738i	$0.0770615\pi$
$8$	0.370138	−	0.928977i	0.130864	−	0.328443i
$9$	−0.561187	+	0.827689i	−0.187062	+	0.275896i
$10$	0.310029	+	1.89109i	0.0980397	+	0.598016i
$11$	−2.11501	−	1.27256i	−0.637699	−	0.383691i	0.159681	−	0.987169i	$-0.448954\pi$
$11$	−2.11501	−	1.27256i	−0.637699	−	0.383691i	−0.797380	+	0.603478i	$0.793781\pi$
$12$	0.725995	−	0.687699i	0.209577	−	0.198522i
$13$	0.133824	+	0.197375i	0.0371161	+	0.0547421i	0.845794	−	0.533509i	$-0.179127\pi$
$13$	0.133824	+	0.197375i	0.0371161	+	0.0547421i	−0.808678	+	0.588251i	$0.799817\pi$
$14$	−2.30374	+	0.507091i	−0.615700	+	0.135526i
$15$	−0.512674	+	1.84649i	−0.132372	+	0.476760i
$16$	−0.856857	+	0.515554i	−0.214214	+	0.128888i
$17$	−0.891081	−	1.04906i	−0.216119	−	0.254435i	0.643410	−	0.765522i	$-0.277519\pi$
$17$	−0.891081	−	1.04906i	−0.216119	−	0.254435i	−0.859529	+	0.511087i	$0.829243\pi$
$18$	0.947653	−	0.319302i	0.223364	−	0.0752601i
$19$	−3.44304	+	1.59292i	−0.789887	+	0.365441i	−0.772991	−	0.634416i	$-0.781240\pi$
$19$	−3.44304	+	1.59292i	−0.789887	+	0.365441i	−0.0168959	+	0.999857i	$0.505378\pi$
$20$	0.897628	−	1.69311i	0.200716	−	0.378590i
$21$	−2.30374	−	0.507091i	−0.502717	−	0.110656i
$22$	0.913624	+	2.29302i	0.194785	+	0.488874i
$23$	−5.80152	−	1.95476i	−1.20970	−	0.407596i	−0.359046	−	0.933320i	$-0.616898\pi$
$23$	−5.80152	−	1.95476i	−1.20970	−	0.407596i	−0.850655	+	0.525724i	$0.823794\pi$
$24$	−0.994138	+	0.108119i	−0.202928	+	0.0220697i
$25$	−0.0718779	−	1.32571i	−0.0143756	−	0.265142i
$26$	0.0129103	−	0.238116i	0.00253191	−	0.0466984i
$27$	0.994138	+	0.108119i	0.191322	+	0.0208075i
$28$	2.14087	+	0.990471i	0.404586	+	0.187181i
$29$	−3.70371	+	2.81549i	−0.687761	+	0.522822i	−0.889683	−	0.456579i	$-0.849074\pi$
$29$	−3.70371	+	2.81549i	−0.687761	+	0.522822i	0.201922	+	0.979402i	$0.435281\pi$
$30$	1.52558	−	1.15972i	0.278532	−	0.211734i
$31$	−1.25482	−	0.580542i	−0.225373	−	0.104268i	0.303954	−	0.952687i	$-0.401693\pi$
$31$	−1.25482	−	0.580542i	−0.225373	−	0.104268i	−0.529326	+	0.848418i	$0.677555\pi$
$32$	0.994138	+	0.108119i	0.175740	+	0.0191129i
$33$	−0.133633	+	2.46471i	−0.0232625	+	0.429051i
$34$	0.0745183	+	1.37441i	0.0127798	+	0.235709i
$35$	−4.49392	+	0.488743i	−0.759611	+	0.0826127i
$36$	−0.947653	−	0.319302i	−0.157942	−	0.0532169i
$37$	−0.0444409	−	0.111538i	−0.00730604	−	0.0183368i	0.925278	−	0.379289i	$-0.123831\pi$
$37$	−0.0444409	−	0.111538i	−0.00730604	−	0.0183368i	−0.932584	+	0.360952i	$0.882452\pi$
$38$	3.70497	+	0.815526i	0.601026	+	0.132296i
$39$	0.111699	−	0.210687i	0.0178862	−	0.0337370i
$40$	−1.73922	+	0.804649i	−0.274995	+	0.127226i
$41$	−0.681705	+	0.229693i	−0.106464	+	0.0358720i	−0.372030	−	0.928221i	$-0.621338\pi$
$41$	−0.681705	+	0.229693i	−0.106464	+	0.0358720i	0.265565	+	0.964093i	$0.414441\pi$
$42$	1.52711	+	1.79785i	0.235638	+	0.277415i
$43$	0.00778095	−	0.00468164i	0.00118658	−	0.000713944i	−0.514960	−	0.857214i	$-0.672193\pi$
$43$	0.00778095	−	0.00468164i	0.00118658	−	0.000713944i	0.516147	+	0.856500i	$0.327366\pi$
$44$	0.660349	−	2.37836i	0.0995513	−	0.358551i
$45$	1.87153	−	0.411956i	0.278992	−	0.0614107i
$46$	3.43558	+	5.06710i	0.506549	+	0.747104i
$47$	6.61093	−	6.26221i	0.964303	−	0.913437i	−0.0319872	−	0.999488i	$-0.510184\pi$
$47$	6.61093	−	6.26221i	0.964303	−	0.913437i	0.996291	+	0.0860515i	$0.0274250\pi$
$48$	0.856857	+	0.515554i	0.123677	+	0.0744138i
$49$	0.232262	+	1.41674i	0.0331803	+	0.202391i
$50$	−0.745064	+	1.09889i	−0.105368	+	0.155406i
$51$	−0.509469	+	1.27867i	−0.0713399	+	0.179050i
$52$	−0.154379	+	0.181750i	−0.0214086	+	0.0252041i
$53$	−0.243356	+	1.48441i	−0.0334275	+	0.203899i	−0.998260	−	0.0589669i	$-0.981219\pi$
$53$	−0.243356	+	1.48441i	−0.0334275	+	0.203899i	0.964832	+	0.262866i	$0.0846676\pi$
$54$	−0.725995	−	0.687699i	−0.0987955	−	0.0935840i
$55$	1.26545	+	4.55774i	0.170633	+	0.614565i
$56$	−1.10492	−	2.08411i	−0.147652	−	0.278500i
$57$	3.02011	+	2.29583i	0.400024	+	0.304090i
$58$	4.65235			0.610884
$59$	−1.40286	−	7.55195i	−0.182637	−	0.983180i
$59$	−1.40286	−	7.55195i	−0.182637	−	0.983180i
$60$	−1.91634			−0.247398
$61$	−3.50593	−	2.66514i	−0.448889	−	0.341236i	0.356181	−	0.934417i	$-0.384079\pi$
$61$	−3.50593	−	2.66514i	−0.448889	−	0.341236i	−0.805069	+	0.593181i	$0.797872\pi$
$62$	0.647625	+	1.22155i	0.0822485	+	0.155137i
$63$	0.631069	+	2.27291i	0.0795072	+	0.286359i
$64$	−0.725995	−	0.687699i	−0.0907494	−	0.0859624i
$65$	0.0739312	−	0.450960i	0.00917004	−	0.0559347i
$66$	1.59796	−	1.88127i	0.196696	−	0.231568i
$67$	0.720240	−	1.80767i	0.0879913	−	0.220842i	−0.878395	−	0.477935i	$-0.841385\pi$
$67$	0.720240	−	1.80767i	0.0879913	−	0.220842i	0.966387	+	0.257093i	$0.0827648\pi$
$68$	0.772434	−	1.13925i	0.0936713	−	0.138155i
$69$	0.990428	+	6.04134i	0.119233	+	0.727292i
$70$	3.87335	+	2.33052i	0.462954	+	0.278550i
$71$	7.79009	−	7.37916i	0.924513	−	0.875746i	−0.0680243	−	0.997684i	$-0.521670\pi$
$71$	7.79009	−	7.37916i	0.924513	−	0.875746i	0.992538	+	0.121938i	$0.0389109\pi$
$72$	0.561187	+	0.827689i	0.0661365	+	0.0975441i
$73$	2.51388	−	0.553346i	0.294227	−	0.0647642i	−0.0654040	−	0.997859i	$-0.520834\pi$
$73$	2.51388	−	0.553346i	0.294227	−	0.0647642i	0.359631	+	0.933095i	$0.382903\pi$
$74$	−0.0321210	+	0.115689i	−0.00373399	+	0.0134486i
$75$	−1.13761	+	0.684479i	−0.131360	+	0.0790368i
$76$	−2.45597	−	2.89139i	−0.281719	−	0.331665i
$77$	−5.51773	+	1.85914i	−0.628803	+	0.211868i
$78$	−0.216426	+	0.100129i	−0.0245054	+	0.0113374i
$79$	7.51128	−	14.1678i	0.845085	−	1.59400i	0.0412497	−	0.999149i	$-0.486866\pi$
$79$	7.51128	−	14.1678i	0.845085	−	1.59400i	0.803836	−	0.594851i	$-0.202789\pi$
$80$	1.87153	+	0.411956i	0.209244	+	0.0460580i
$81$	−0.370138	−	0.928977i	−0.0411265	−	0.103220i
$82$	0.681705	+	0.229693i	0.0752817	+	0.0253653i
$83$	13.4976	−	1.46796i	1.48156	−	0.161129i	0.668674	−	0.743556i	$-0.266862\pi$
$83$	13.4976	−	1.46796i	1.48156	−	0.161129i	0.812883	+	0.582426i	$0.197897\pi$
$84$	−0.127708	−	2.35543i	−0.0139340	−	0.256998i
$85$	−0.142802	+	2.63383i	−0.0154891	+	0.285679i
$86$	−0.00902757		0.000981808i	−0.000973468		0.000105871i
$87$	4.22236	+	1.95347i	0.452685	+	0.209434i
$88$	−1.96502	+	1.49377i	−0.209472	+	0.159236i
$89$	0.118176	−	0.0898349i	0.0125266	−	0.00952248i	−0.598892	−	0.800830i	$-0.704392\pi$
$89$	0.118176	−	0.0898349i	0.0125266	−	0.00952248i	0.611419	+	0.791307i	$0.290599\pi$
$90$	−1.73922	−	0.804649i	−0.183330	−	0.0848174i
$91$	0.559216	+	0.0608184i	0.0586218	+	0.00637550i
$92$	0.331438	−	6.11301i	0.0345548	−	0.637325i
$93$	0.0748529	+	1.38058i	0.00776188	+	0.143160i
$94$	−9.05264	+	0.984534i	−0.933709	+	0.101547i
$95$	6.88938	+	2.32130i	0.706836	+	0.238161i
$96$	−0.370138	−	0.928977i	−0.0377771	−	0.0948133i
$97$	10.8674	+	2.39211i	1.10342	+	0.242882i	0.729093	−	0.684414i	$-0.239942\pi$
$97$	10.8674	+	2.39211i	1.10342	+	0.242882i	0.374329	+	0.927296i	$0.377873\pi$
$98$	0.672471	−	1.26841i	0.0679298	−	0.128129i
$99$	2.24020	−	1.03643i	0.225148	−	0.104165i
$100$	1.25816	−	0.423923i	0.125816	−	0.0423923i
$101$	3.11235	+	3.66415i	0.309691	+	0.364596i	0.894885	−	0.446297i	$-0.147258\pi$
$101$	3.11235	+	3.66415i	0.309691	+	0.364596i	−0.585194	+	0.810893i	$0.698982\pi$
$102$	1.17940	−	0.709623i	0.116778	−	0.0702631i
$103$	0.759082	−	2.73396i	0.0747945	−	0.269386i	−0.916692	−	0.399594i	$-0.869151\pi$
$103$	0.759082	−	2.73396i	0.0747945	−	0.269386i	0.991487	+	0.130209i	$0.0415648\pi$
$104$	0.232890	−	0.0512631i	0.0228368	−	0.00502676i
$105$	2.53680	+	3.74150i	0.247566	+	0.365133i
$106$	1.09206	−	1.03445i	0.106070	−	0.100475i
$107$	−3.31086	−	1.99208i	−0.320072	−	0.192581i	0.346446	−	0.938070i	$-0.387389\pi$
$107$	−3.31086	−	1.99208i	−0.320072	−	0.192581i	−0.666518	+	0.745489i	$0.732216\pi$
$108$	0.161782	+	0.986827i	0.0155675	+	0.0949574i
$109$	−1.78744	+	2.63628i	−0.171206	+	0.252510i	−0.903606	−	0.428365i	$-0.859090\pi$
$109$	−1.78744	+	2.63628i	−0.171206	+	0.252510i	0.732400	+	0.680875i	$0.238400\pi$
$110$	1.75081	−	4.39420i	0.166933	−	0.418971i
$111$	−0.0777289	+	0.0915095i	−0.00737770	+	0.00868570i
$112$	−0.381626	+	2.32781i	−0.0360602	+	0.219958i
$113$	10.4120	+	9.86272i	0.979474	+	0.927807i	0.997402	−	0.0720323i	$-0.0229485\pi$
$113$	10.4120	+	9.86272i	0.979474	+	0.927807i	−0.0179284	+	0.999839i	$0.505707\pi$
$114$	−1.01491	−	3.65539i	−0.0950554	−	0.342358i
$115$	5.49527	+	10.3652i	0.512436	+	0.966558i
$116$	−3.70371	−	2.81549i	−0.343881	−	0.261411i
$117$	−0.238466			−0.0220462
$118$	−3.45344	+	6.86103i	−0.317915	+	0.631609i
$119$	−3.24684			−0.297637
$120$	1.52558	+	1.15972i	0.139266	+	0.105867i
$121$	−2.29864	−	4.33569i	−0.208967	−	0.394154i
$122$	1.17817	+	4.24340i	0.106667	+	0.384179i
$123$	0.522253	+	0.494704i	0.0470899	+	0.0446060i
$124$	0.223681	−	1.36439i	0.0200872	−	0.122526i
$125$	−7.85015	+	9.24191i	−0.702139	+	0.826622i
$126$	0.873114	−	2.19135i	0.0777832	−	0.195221i
$127$	7.29223	−	10.7552i	0.647081	−	0.954373i	−0.352745	−	0.935719i	$-0.614752\pi$
$127$	7.29223	−	10.7552i	0.647081	−	0.954373i	0.999826	−	0.0186534i	$-0.00593791\pi$
$128$	0.161782	+	0.986827i	0.0142996	+	0.0872240i
$129$	−0.00778095	−	0.00468164i	−0.000685075	−	0.000412196i
$130$	−0.331766	+	0.314265i	−0.0290978	+	0.0275629i
$131$	−4.17888	−	6.16339i	−0.365111	−	0.538498i	0.600116	−	0.799913i	$-0.295121\pi$
$131$	−4.17888	−	6.16339i	−0.365111	−	0.538498i	−0.965226	+	0.261415i	$0.915811\pi$
$132$	−2.41062	+	0.530618i	−0.209818	+	0.0461844i
$133$	−2.39407	+	8.62265i	−0.207592	+	0.747679i
$134$	−1.66733	+	1.00320i	−0.144035	+	0.0866633i
$135$	−1.24061	−	1.46056i	−0.106775	−	0.125705i
$136$	−1.30438	+	0.439496i	−0.111849	+	0.0376864i
$137$	−15.4114	+	7.13008i	−1.31669	+	0.609164i	−0.947370	−	0.320140i	$-0.896270\pi$
$137$	−15.4114	+	7.13008i	−1.31669	+	0.609164i	−0.369316	+	0.929304i	$0.620408\pi$
$138$	2.86759	−	5.40885i	0.244106	−	0.460432i
$139$	−21.7598	−	4.78969i	−1.84564	−	0.406256i	−0.852454	−	0.522803i	$-0.824886\pi$
$139$	−21.7598	−	4.78969i	−1.84564	−	0.406256i	−0.993185	+	0.116547i	$0.962817\pi$
$140$	−1.67318	−	4.19937i	−0.141410	−	0.354911i
$141$	−8.62935	−	2.90757i	−0.726722	−	0.244861i
$142$	−10.6673	+	1.16014i	−0.895181	+	0.0973568i
$143$	−0.0318668	−	0.587749i	−0.00266484	−	0.0491501i
$144$	0.0541389	−	0.998533i	0.00451158	−	0.0832111i
$145$	8.86321	+	0.963932i	0.736050	+	0.0800502i
$146$	−2.33615	−	1.08082i	−0.193341	−	0.0894491i
$147$	1.14291	−	0.868819i	0.0942657	−	0.0716589i
$148$	0.0955834	−	0.0726606i	0.00785691	−	0.00597267i
$149$	0.634129	+	0.293379i	0.0519499	+	0.0240346i	0.445692	−	0.895186i	$-0.352958\pi$
$149$	0.634129	+	0.293379i	0.0519499	+	0.0240346i	−0.393742	+	0.919221i	$0.628820\pi$
$150$	1.31987	+	0.143545i	0.107767	+	0.0117204i
$151$	0.398300	−	7.34620i	0.0324132	−	0.597825i	−0.936537	−	0.350569i	$-0.885988\pi$
$151$	0.398300	−	7.34620i	0.0324132	−	0.597825i	0.968950	−	0.247256i	$-0.0795290\pi$
$152$	0.205385	+	3.78810i	0.0166589	+	0.307256i
$153$	1.36836	−	0.148818i	0.110625	−	0.0120312i
$154$	5.51773	+	1.85914i	0.444631	+	0.149814i
$155$	0.980696	+	2.46136i	0.0787714	+	0.197701i
$156$	0.232890	+	0.0512631i	0.0186462	+	0.00410433i
$157$	5.87814	−	11.0874i	0.469127	−	0.884867i	−0.530189	−	0.847880i	$-0.677879\pi$
$157$	5.87814	−	11.0874i	0.469127	−	0.884867i	0.999316	−	0.0369875i	$-0.0117762\pi$
$158$	−14.5537	+	6.73324i	−1.15783	+	0.535668i
$159$	1.42548	−	0.480300i	0.113048	−	0.0380903i
$160$	−1.24061	−	1.46056i	−0.0980788	−	0.115467i
$161$	−12.3739	+	7.44516i	−0.975203	+	0.586760i
$162$	−0.267528	+	0.963550i	−0.0210190	+	0.0757036i
$163$	−21.8658	+	4.81302i	−1.71266	+	0.376985i	−0.959687	−	0.281070i	$-0.909311\pi$
$163$	−21.8658	+	4.81302i	−1.71266	+	0.376985i	−0.752971	+	0.658054i	$0.771380\pi$
$164$	−0.403696	−	0.595407i	−0.0315234	−	0.0464935i
$165$	3.43407	−	3.25292i	0.267342	−	0.253240i
$166$	−11.6337	−	6.99979i	−0.902953	−	0.543289i
$167$	2.57669	+	15.7171i	0.199391	+	1.21623i	0.876885	+	0.480701i	$0.159618\pi$
$167$	2.57669	+	15.7171i	0.199391	+	1.21623i	−0.677494	+	0.735528i	$0.736934\pi$
$168$	−1.32378	+	1.95243i	−0.102132	+	0.150633i
$169$	4.79075	−	12.0239i	0.368519	−	0.924913i
$170$	1.70761	−	2.01035i	0.130968	−	0.154187i
$171$	0.613747	−	3.74369i	0.0469344	−	0.286287i
$172$	0.00659262	+	0.00624486i	0.000502683	+	0.000476166i
$173$	4.69162	+	16.8977i	0.356697	+	1.28471i	0.896548	+	0.442946i	$0.146067\pi$
$173$	4.69162	+	16.8977i	0.356697	+	1.28471i	−0.539851	+	0.841760i	$0.681520\pi$
$174$	−2.17920	−	4.11041i	−0.165205	−	0.311609i
$175$	−2.49320	−	1.89528i	−0.188468	−	0.143270i
$176$	2.46833			0.186057
$177$	−6.01513	+	4.77684i	−0.452125	+	0.359049i
$178$	−0.148445			−0.0111264
$179$	2.22598	+	1.69215i	0.166378	+	0.126477i	0.685050	−	0.728496i	$-0.259780\pi$
$179$	2.22598	+	1.69215i	0.166378	+	0.126477i	−0.518672	+	0.854973i	$0.673574\pi$
$180$	0.897628	+	1.69311i	0.0669052	+	0.126197i
$181$	2.22813	+	8.02499i	0.165616	+	0.596493i	0.999038	+	0.0438566i	$0.0139645\pi$
$181$	2.22813	+	8.02499i	0.165616	+	0.596493i	−0.833422	+	0.552637i	$0.813622\pi$
$182$	−0.408382	−	0.386840i	−0.0302713	−	0.0286745i
$183$	−0.712475	+	4.34591i	−0.0526677	+	0.321259i
$184$	−3.96329	+	4.66595i	−0.292178	+	0.343978i
$185$	−0.0851637	+	0.213745i	−0.00626136	+	0.0157148i
$186$	0.775902	−	1.14437i	0.0568919	−	0.0839092i
$187$	0.549651	+	3.35272i	0.0401945	+	0.245175i
$188$	7.80256	+	4.69465i	0.569060	+	0.342392i
$189$	1.71254	−	1.62221i	0.124569	−	0.117998i
$190$	−4.07980	−	6.01725i	−0.295980	−	0.436537i
$191$	7.67596	−	1.68961i	0.555413	−	0.122256i	0.0716102	−	0.997433i	$-0.477186\pi$
$191$	7.67596	−	1.68961i	0.555413	−	0.122256i	0.483803	+	0.875177i	$0.339255\pi$
$192$	−0.267528	+	0.963550i	−0.0193072	+	0.0695382i
$193$	−12.9767	+	7.80781i	−0.934082	+	0.562018i	−0.899279	−	0.437376i	$-0.855908\pi$
$193$	−12.9767	+	7.80781i	−0.934082	+	0.562018i	−0.0348029	+	0.999394i	$0.511080\pi$
$194$	−7.20386	−	8.48104i	−0.517207	−	0.608903i
$195$	−0.433059	+	0.145915i	−0.0310120	+	0.0104492i
$196$	−1.30296	+	0.602814i	−0.0930686	+	0.0430581i
$197$	8.16780	−	15.4061i	0.581931	−	1.09764i	−0.401415	−	0.915896i	$-0.631481\pi$
$197$	8.16780	−	15.4061i	0.581931	−	1.09764i	0.983346	−	0.181743i	$-0.0581738\pi$
$198$	−2.41062	−	0.530618i	−0.171316	−	0.0377094i
$199$	−3.35937	−	8.43138i	−0.238139	−	0.597685i	0.760527	−	0.649306i	$-0.224940\pi$
$199$	−3.35937	−	8.43138i	−0.238139	−	0.597685i	−0.998667	+	0.0516212i	$0.983561\pi$
$200$	−1.25816	−	0.423923i	−0.0889652	−	0.0299759i
$201$	−1.93446	+	0.210385i	−0.136446	+	0.0148394i
$202$	−0.260276	−	4.80052i	−0.0183130	−	0.337763i
$203$	−0.594141	+	10.9583i	−0.0417005	+	0.769121i
$204$	−1.36836	−	0.148818i	−0.0958043	−	0.0104193i
$205$	1.25113	+	0.578833i	0.0873824	+	0.0404274i
$206$	−2.25882	+	1.71711i	−0.157380	+	0.119637i
$207$	4.87367	−	3.70487i	0.338744	−	0.257506i
$208$	−0.216426	−	0.100129i	−0.0150064	−	0.00694271i
$209$	9.30914	+	1.01243i	0.643926	+	0.0700312i
$210$	0.244731	−	4.51379i	0.0168880	−	0.311481i
$211$	−1.17135	−	21.6043i	−0.0806390	−	1.48730i	−0.706694	−	0.707519i	$-0.749814\pi$
$211$	−1.17135	−	21.6043i	−0.0806390	−	1.48730i	0.626055	−	0.779779i	$-0.284669\pi$
$212$	−1.49540	+	0.162635i	−0.102705	+	0.0111698i
$213$	−10.1685	−	3.42617i	−0.696736	−	0.234758i
$214$	1.43020	+	3.58952i	0.0977662	+	0.245375i
$215$	−0.0169950	−	0.00374089i	−0.00115905	−	0.000255126i
$216$	0.468408	−	0.883512i	0.0318712	−	0.0601154i
$217$	−2.95998	+	1.36943i	−0.200937	+	0.0929632i
$218$	3.01838	−	1.01701i	0.204430	−	0.0688806i
$219$	−1.66641	−	1.96185i	−0.112605	−	0.132569i
$220$	−4.05307	+	2.43865i	−0.273258	+	0.164414i
$221$	0.0878111	−	0.316267i	0.00590681	−	0.0212744i
$222$	0.117259	−	0.0258106i	0.00786988	−	0.00173229i
$223$	10.6985	+	15.7791i	0.716422	+	1.05664i	0.995349	+	0.0963315i	$0.0307109\pi$
$223$	10.6985	+	15.7791i	0.716422	+	1.05664i	−0.278927	+	0.960312i	$0.589979\pi$
$224$	1.71254	−	1.62221i	0.114424	−	0.108388i
$225$	1.13761	+	0.684479i	0.0758408	+	0.0456319i
$226$	−2.32022	−	14.1527i	−0.154338	−	0.941423i
$227$	7.66080	−	11.2988i	0.508465	−	0.749930i	−0.483650	−	0.875261i	$-0.660689\pi$
$227$	7.66080	−	11.2988i	0.508465	−	0.749930i	0.992115	+	0.125332i	$0.0399996\pi$
$228$	−1.40418	+	3.52423i	−0.0929942	+	0.233398i
$229$	0.172804	−	0.203441i	0.0114192	−	0.0134438i	−0.756423	−	0.654083i	$-0.773055\pi$
$229$	0.172804	−	0.203441i	0.0114192	−	0.0134438i	0.767842	+	0.640639i	$0.221331\pi$
$230$	1.89799	−	11.5772i	0.125150	−	0.763380i
$231$	4.22712	+	4.00414i	0.278124	+	0.263453i
$232$	1.24464	+	4.48278i	0.0817144	+	0.294309i
$233$	−5.96045	−	11.2426i	−0.390482	−	0.736528i	0.607862	−	0.794042i	$-0.292027\pi$
$233$	−5.96045	−	11.2426i	−0.390482	−	0.736528i	−0.998345	+	0.0575146i	$0.981682\pi$
$234$	0.189841	+	0.144313i	0.0124103	+	0.00943405i
$235$	−17.4502			−1.13833
$236$	6.90138	−	3.37209i	0.449241	−	0.219504i
$237$	−16.0358			−1.04163
$238$	2.58479	+	1.96490i	0.167547	+	0.127366i
$239$	9.01682	+	17.0075i	0.583250	+	1.10013i	0.983018	+	0.183509i	$0.0587457\pi$
$239$	9.01682	+	17.0075i	0.583250	+	1.10013i	−0.399768	+	0.916616i	$0.630909\pi$
$240$	−0.512674	−	1.84649i	−0.0330930	−	0.119190i
$241$	−0.755199	−	0.715362i	−0.0486466	−	0.0460805i	0.662990	−	0.748628i	$-0.269287\pi$
$241$	−0.755199	−	0.715362i	−0.0486466	−	0.0460805i	−0.711637	+	0.702548i	$0.752046\pi$
$242$	−0.793919	+	4.84269i	−0.0510351	+	0.311300i
$243$	−0.647386	+	0.762162i	−0.0415298	+	0.0488927i
$244$	1.63006	−	4.09114i	0.104354	−	0.261908i
$245$	1.54393	−	2.27713i	0.0986382	−	0.145480i
$246$	−0.116380	−	0.709884i	−0.00742009	−	0.0452606i
$247$	−0.775164	−	0.466401i	−0.0493225	−	0.0296764i
$248$	−1.00377	+	0.950819i	−0.0637393	+	0.0603771i
$249$	−7.61936	−	11.2377i	−0.482857	−	0.712161i
$250$	11.8424	−	2.60671i	0.748980	−	0.164863i
$251$	−4.17280	+	15.0291i	−0.263385	+	0.948625i	0.707031	+	0.707183i	$0.250034\pi$
$251$	−4.17280	+	15.0291i	−0.263385	+	0.948625i	−0.970415	+	0.241442i	$0.922379\pi$
$252$	−2.02123	+	1.21613i	−0.127325	+	0.0766092i
$253$	9.78272	+	11.5171i	0.615034	+	0.724074i
$254$	−12.3141	+	4.14910i	−0.772654	+	0.260338i
$255$	2.39391	−	1.10754i	0.149912	−	0.0693569i
$256$	0.468408	−	0.883512i	0.0292755	−	0.0552195i
$257$	−8.98754	−	1.97831i	−0.560627	−	0.123403i	−0.0743884	−	0.997229i	$-0.523700\pi$
$257$	−8.98754	−	1.97831i	−0.560627	−	0.123403i	−0.486239	+	0.873826i	$0.661632\pi$
$258$	0.00336115	+	0.00843586i	0.000209256	+	0.000525193i
$259$	−0.268396	−	0.0904330i	−0.0166773	−	0.00561923i
$260$	0.454302	−	0.0494083i	0.0281746	−	0.00306417i
$261$	−0.251873	−	4.64553i	−0.0155906	−	0.287551i
$262$	−0.403146	+	7.43558i	−0.0249064	+	0.459372i
$263$	19.0386	+	2.07057i	1.17397	+	0.127677i	0.674246	−	0.738507i	$-0.264469\pi$
$263$	19.0386	+	2.07057i	1.17397	+	0.127677i	0.499725	+	0.866184i	$0.333434\pi$
$264$	2.24020	+	1.03643i	0.137875	+	0.0637876i
$265$	2.29481	−	1.74447i	0.140969	−	0.107162i
$266$	7.12410	−	5.41560i	0.436807	−	0.332052i
$267$	−0.134725	−	0.0623303i	−0.00824502	−	0.00381455i
$268$	1.93446	+	0.210385i	0.118166	+	0.0128513i
$269$	−0.576576	+	10.6343i	−0.0351545	+	0.648386i	0.926863	+	0.375399i	$0.122494\pi$
$269$	−0.576576	+	10.6343i	−0.0351545	+	0.648386i	−0.962018	+	0.272987i	$0.911988\pi$
$270$	0.103748	+	1.91353i	0.00631392	+	0.116453i
$271$	−2.92975	+	0.318630i	−0.177970	+	0.0193554i	−0.196670	−	0.980470i	$-0.563013\pi$
$271$	−2.92975	+	0.318630i	−0.177970	+	0.0193554i	0.0187002	+	0.999825i	$0.494047\pi$
$272$	1.30438	+	0.439496i	0.0790894	+	0.0266483i
$273$	−0.208208	−	0.522562i	−0.0126013	−	0.0316269i
$274$	16.5839	+	3.65038i	1.00187	+	0.220528i
$275$	−1.53502	+	2.89535i	−0.0925652	+	0.174596i
$276$	−5.55617	+	2.57056i	−0.334442	+	0.154729i
$277$	16.4637	−	5.54727i	0.989209	−	0.333303i	0.222243	−	0.974991i	$-0.428662\pi$
$277$	16.4637	−	5.54727i	0.989209	−	0.333303i	0.766966	+	0.641688i	$0.221766\pi$
$278$	14.4242	+	16.9815i	0.865106	+	1.01848i
$279$	1.18470	−	0.712809i	0.0709260	−	0.0426748i
$280$	−1.20934	+	4.35565i	−0.0722719	+	0.260300i
$281$	−10.8244	+	2.38263i	−0.645730	+	0.142136i	−0.525748	−	0.850640i	$-0.676215\pi$
$281$	−10.8244	+	2.38263i	−0.645730	+	0.142136i	−0.119982	+	0.992776i	$0.538284\pi$
$282$	5.11018	+	7.53695i	0.304307	+	0.448819i
$283$	−18.6580	+	17.6738i	−1.10910	+	1.05060i	−0.110714	+	0.993852i	$0.535314\pi$
$283$	−18.6580	+	17.6738i	−1.10910	+	1.05060i	−0.998389	+	0.0567453i	$0.981928\pi$
$284$	9.19426	+	5.53200i	0.545579	+	0.328264i
$285$	−1.17615	−	7.17417i	−0.0696689	−	0.424961i
$286$	−0.330322	+	0.487188i	−0.0195323	+	0.0288080i
$287$	−0.628084	+	1.57637i	−0.0370746	+	0.0930503i
$288$	−0.647386	+	0.762162i	−0.0381476	+	0.0449108i
$289$	2.44379	−	14.9065i	0.143752	−	0.876850i
$290$	−6.47259	−	6.13117i	−0.380084	−	0.360035i
$291$	−2.97695	−	10.7220i	−0.174512	−	0.628535i
$292$	1.20571	+	2.27421i	0.0705588	+	0.133088i
$293$	11.6473	+	8.85402i	0.680440	+	0.517257i	0.887346	−	0.461103i	$-0.152546\pi$
$293$	11.6473	+	8.85402i	0.680440	+	0.517257i	−0.206906	+	0.978361i	$0.566339\pi$
$294$	−1.43565			−0.0837288
$295$	−8.00071	+	12.3554i	−0.465819	+	0.719362i
$296$	−0.120066			−0.00697868
$297$	−1.96502	−	1.49377i	−0.114022	−	0.0866774i
$298$	−0.327280	−	0.617316i	−0.0189588	−	0.0357601i
$299$	−0.390560	−	1.40667i	−0.0225867	−	0.0813499i
$300$	−0.963873	−	0.913029i	−0.0556492	−	0.0527137i
$301$	0.00346547	−	0.0211384i	0.000199746	−	0.00121840i
$302$	−4.76282	+	5.60722i	−0.274069	+	0.322659i
$303$	1.77946	−	4.46612i	0.102228	−	0.256572i
$304$	2.12896	−	3.13998i	0.122104	−	0.180090i
$305$	1.36534	+	8.32822i	0.0781792	+	0.476872i
$306$	−1.17940	−	0.709623i	−0.0674219	−	0.0405664i
$307$	12.2767	−	11.6292i	0.700671	−	0.663711i	−0.251995	−	0.967728i	$-0.581087\pi$
$307$	12.2767	−	11.6292i	0.700671	−	0.663711i	0.952666	+	0.304018i	$0.0983281\pi$
$308$	−3.26752	−	4.81923i	−0.186184	−	0.274601i
$309$	−2.77105	+	0.609954i	−0.157640	+	0.0346991i
$310$	0.708827	−	2.55297i	0.0402587	−	0.144999i
$311$	11.7752	−	7.08488i	0.667709	−	0.401747i	−0.140957	−	0.990016i	$-0.545018\pi$
$311$	11.7752	−	7.08488i	0.667709	−	0.401747i	0.808665	+	0.588269i	$0.200190\pi$
$312$	−0.154379	−	0.181750i	−0.00874001	−	0.0102895i
$313$	23.0237	−	7.75758i	1.30138	−	0.438484i	0.418553	−	0.908192i	$-0.362537\pi$
$313$	23.0237	−	7.75758i	1.30138	−	0.438484i	0.882822	+	0.469708i	$0.155641\pi$
$314$	−11.3893	+	5.26926i	−0.642737	+	0.297362i
$315$	2.11740	−	3.99385i	0.119302	−	0.225028i
$316$	15.6608	+	3.44721i	0.880992	+	0.193921i
$317$	−10.7267	−	26.9220i	−0.602473	−	1.51209i	−0.841043	−	0.540968i	$-0.818058\pi$
$317$	−10.7267	−	26.9220i	−0.602473	−	1.51209i	0.238571	−	0.971125i	$-0.423321\pi$
$318$	−1.42548	−	0.480300i	−0.0799370	−	0.0269339i
$319$	11.4162	−	1.24159i	0.639187	−	0.0695157i
$320$	0.103748	+	1.91353i	0.00579971	+	0.106969i
$321$	−0.209190	+	3.85829i	−0.0116759	+	0.215349i
$322$	14.3564	+	1.56136i	0.800052	+	0.0870109i
$323$	4.73910	+	2.19254i	0.263690	+	0.121996i
$324$	0.796093	−	0.605174i	0.0442274	−	0.0336208i
$325$	0.252044	−	0.191599i	0.0139809	−	0.0106280i
$326$	20.3199	+	9.40098i	1.12541	+	0.520672i
$327$	3.16644	+	0.344371i	0.175104	+	0.0190437i
$328$	−0.0389454	+	0.718306i	−0.00215040	+	0.0396618i
$329$	−1.16291	−	21.4486i	−0.0641132	−	1.18250i
$330$	−4.70242	+	0.511419i	−0.258860	+	0.0281527i
$331$	18.7085	+	6.30363i	1.02831	+	0.346479i	0.782376	−	0.622807i	$-0.214008\pi$
$331$	18.7085	+	6.30363i	1.02831	+	0.346479i	0.245937	+	0.969286i	$0.420904\pi$
$332$	5.02545	+	12.6129i	0.275807	+	0.692224i
$333$	0.117259	+	0.0258106i	0.00642573	+	0.00141441i
$334$	7.46032	−	14.0717i	0.408211	−	0.769967i
$335$	−3.38429	+	1.56574i	−0.184904	+	0.0855455i
$336$	2.23541	−	0.753196i	0.121951	−	0.0410902i
$337$	−12.5341	−	14.7562i	−0.682773	−	0.803823i	0.306192	−	0.951970i	$-0.400945\pi$
$337$	−12.5341	−	14.7562i	−0.682773	−	0.803823i	−0.988965	+	0.148147i	$0.952669\pi$
$338$	−11.0904	+	6.67288i	−0.603239	+	0.362957i
$339$	3.83679	−	13.8189i	0.208386	−	0.750538i
$340$	−2.57603	+	0.567027i	−0.139705	+	0.0307514i
$341$	1.91518	+	2.82468i	0.103713	+	0.152965i
$342$	−2.75419	+	2.60890i	−0.148929	+	0.141073i
$343$	17.0504	+	10.2589i	0.920634	+	0.553927i
$344$	−0.00146911	−	0.00896118i	−7.92091e−5	−	0.000483154i
$345$	6.58373	−	9.71027i	0.354456	−	0.522783i
$346$	6.49107	−	16.2914i	0.348962	−	0.875829i
$347$	7.59549	−	8.94210i	0.407747	−	0.480037i	−0.519509	−	0.854465i	$-0.673885\pi$
$347$	7.59549	−	8.94210i	0.407747	−	0.480037i	0.927256	+	0.374428i	$0.122161\pi$
$348$	−0.752667	+	4.59107i	−0.0403472	+	0.246107i
$349$	23.2559	+	22.0291i	1.24486	+	1.17919i	0.976417	+	0.215895i	$0.0692669\pi$
$349$	23.2559	+	22.0291i	1.24486	+	1.17919i	0.268441	+	0.963296i	$0.413492\pi$
$350$	0.837843	+	3.01764i	0.0447846	+	0.161300i
$351$	0.111699	+	0.210687i	0.00596207	+	0.0112457i
$352$	−1.96502	−	1.49377i	−0.104736	−	0.0796182i
$353$	3.43673			0.182919			0.0914594	−	0.995809i	$-0.470847\pi$
$353$	3.43673			0.182919			0.0914594	+	0.995809i	$0.470847\pi$
$354$	7.67942	−	0.162609i	0.408157	−	0.00864259i
$355$	−20.5627			−1.09135
$356$	0.118176	+	0.0898349i	0.00626330	+	0.00476124i
$357$	1.52085	+	2.86862i	0.0804917	+	0.151824i
$358$	−0.748044	−	2.69421i	−0.0395354	−	0.142394i
$359$	−21.7704	−	20.6220i	−1.14900	−	1.08839i	−0.994955	−	0.100322i	$-0.968013\pi$
$359$	−21.7704	−	20.6220i	−1.14900	−	1.08839i	−0.154040	−	0.988065i	$-0.549229\pi$
$360$	0.310029	−	1.89109i	0.0163399	−	0.0996693i
$361$	−2.98321	+	3.51211i	−0.157011	+	0.184848i
$362$	3.08272	−	7.73705i	0.162024	−	0.406650i
$363$	−2.75394	+	4.06175i	−0.144544	+	0.213187i
$364$	0.0910046	+	0.555103i	0.00476994	+	0.0290953i
$365$	−4.22667	−	2.54310i	−0.221234	−	0.133112i
$366$	3.19723	−	3.02857i	0.167122	−	0.158306i
$367$	−6.78857	−	10.0124i	−0.354360	−	0.522642i	0.608174	−	0.793804i	$-0.291902\pi$
$367$	−6.78857	−	10.0124i	−0.354360	−	0.522642i	−0.962534	+	0.271162i	$0.912592\pi$
$368$	5.97886	−	1.31605i	0.311670	−	0.0686037i
$369$	0.192449	−	0.693140i	0.0100185	−	0.0360834i
$370$	0.197151	−	0.118622i	0.0102494	−	0.00616685i
$371$	2.29712	+	2.70437i	0.119260	+	0.140404i
$372$	−1.31023	+	0.441469i	−0.0679324	+	0.0228891i
$373$	−28.4118	+	13.1447i	−1.47111	+	0.680606i	−0.981522	−	0.191350i	$-0.938714\pi$
$373$	−28.4118	+	13.1447i	−1.47111	+	0.680606i	−0.489584	+	0.871956i	$0.662851\pi$
$374$	1.59141	−	3.00172i	0.0822898	−	0.155215i
$375$	11.8424	+	2.60671i	0.611540	+	0.134610i
$376$	−3.37049	−	8.45928i	−0.173820	−	0.436254i
$377$	−1.05135	−	0.354242i	−0.0541474	−	0.0182444i
$378$	−2.34506	+	0.255041i	−0.120617	+	0.0131179i
$379$	−1.12117	−	20.6787i	−0.0575905	−	1.06219i	−0.874375	−	0.485251i	$-0.838728\pi$
$379$	−1.12117	−	20.6787i	−0.0575905	−	1.06219i	0.816784	−	0.576943i	$-0.195755\pi$
$380$	−0.393587	+	7.25928i	−0.0201906	+	0.372393i
$381$	−12.9181	−	1.40493i	−0.661815	−	0.0719768i
$382$	−7.13329	−	3.30021i	−0.364971	−	0.168853i
$383$	4.10566	−	3.12104i	0.209789	−	0.159478i	−0.495003	−	0.868891i	$-0.664833\pi$
$383$	4.10566	−	3.12104i	0.209789	−	0.159478i	0.704793	+	0.709413i	$0.251040\pi$
$384$	0.796093	−	0.605174i	0.0406255	−	0.0308827i
$385$	10.1266	+	4.68508i	0.516101	+	0.238774i
$386$	15.0557	+	1.63741i	0.766316	+	0.0833419i
$387$	−0.000491625		0.00906749i	−2.49907e−5		0.000460926i
$388$	0.602436	+	11.1113i	0.0305841	+	0.564090i
$389$	2.60214	−	0.283000i	0.131934	−	0.0143487i	−0.0419138	−	0.999121i	$-0.513345\pi$
$389$	2.60214	−	0.283000i	0.131934	−	0.0143487i	0.173848	+	0.984773i	$0.444380\pi$
$390$	0.433059	+	0.145915i	0.0219288	+	0.00738867i
$391$	3.11896	+	7.82800i	0.157733	+	0.395879i
$392$	1.40209	+	0.308622i	0.0708160	+	0.0155878i
$393$	−3.48800	+	6.57908i	−0.175947	+	0.331870i
$394$	−15.8257	+	7.32175i	−0.797287	+	0.368864i
$395$	−29.1213	+	9.81210i	−1.46525	+	0.493700i
$396$	1.59796	+	1.88127i	0.0803007	+	0.0945373i
$397$	5.75386	−	3.46198i	0.288778	−	0.173752i	−0.363793	−	0.931480i	$-0.618518\pi$
$397$	5.75386	−	3.46198i	0.288778	−	0.173752i	0.652570	+	0.757728i	$0.273691\pi$
$398$	−2.42808	+	8.74517i	−0.121709	+	0.438356i
$399$	8.73962	−	1.92373i	0.437528	−	0.0963072i
$400$	0.745064	+	1.09889i	0.0372532	+	0.0549443i
$401$	7.14050	−	6.76384i	0.356580	−	0.337770i	−0.488350	−	0.872648i	$-0.662401\pi$
$401$	7.14050	−	6.76384i	0.356580	−	0.337770i	0.844929	+	0.534878i	$0.179642\pi$
$402$	1.66733	+	1.00320i	0.0831589	+	0.0500351i
$403$	−0.0533403	−	0.325361i	−0.00265707	−	0.0162074i
$404$	−2.69794	+	3.97917i	−0.134228	+	0.197971i
$405$	−0.709309	+	1.78023i	−0.0352458	+	0.0884604i
$406$	7.10466	−	8.36426i	0.352599	−	0.415111i
$407$	−0.0479460	+	0.292458i	−0.00237660	+	0.0144966i
$408$	0.999281	+	0.946569i	0.0494718	+	0.0468621i
$409$	4.74789	+	17.1004i	0.234768	+	0.845559i	0.983228	+	0.182379i	$0.0583798\pi$
$409$	4.74789	+	17.1004i	0.234768	+	0.845559i	−0.748460	+	0.663180i	$0.769206\pi$
$410$	−0.645718	−	1.21795i	−0.0318898	−	0.0601505i
$411$	13.5183	+	10.2764i	0.666811	+	0.506897i
$412$	2.83739			0.139788
$413$	−15.7196	−	9.01053i	−0.773513	−	0.443379i
$414$	−6.12199			−0.300879
$415$	−20.7132	−	15.7457i	−1.01677	−	0.772928i
$416$	0.111699	+	0.210687i	0.00547651	+	0.0103298i
$417$	5.96071	+	21.4685i	0.291897	+	1.05132i
$418$	−6.79824	−	6.43964i	−0.332513	−	0.314973i
$419$	−2.02609	+	12.3586i	−0.0989808	+	0.603756i	0.890029	+	0.455904i	$0.150684\pi$
$419$	−2.02609	+	12.3586i	−0.0989808	+	0.603756i	−0.989010	+	0.147852i	$0.952764\pi$
$420$	−2.92646	+	3.44529i	−0.142797	+	0.168113i
$421$	−1.36657	+	3.42983i	−0.0666025	+	0.167160i	−0.958511	−	0.285057i	$-0.907987\pi$
$421$	−1.36657	+	3.42983i	−0.0666025	+	0.167160i	0.891908	+	0.452217i	$0.149367\pi$
$422$	−12.1418	+	17.9079i	−0.591055	+	0.871742i
$423$	1.47319	+	8.98606i	0.0716290	+	0.436917i
$424$	1.28890	+	0.775508i	0.0625947	+	0.0376620i
$425$	−1.32670	+	1.25672i	−0.0643545	+	0.0609598i
$426$	6.02166	+	8.88128i	0.291750	+	0.430300i
$427$	−10.1455	+	2.23319i	−0.490974	+	0.108072i
$428$	1.03372	−	3.72311i	0.0499666	−	0.179963i
$429$	−0.504357	+	0.303461i	−0.0243506	+	0.0146513i
$430$	0.0112657	+	0.0132630i	0.000543282	+	0.000639601i
$431$	−12.7972	+	4.31189i	−0.616422	+	0.207697i	−0.610153	−	0.792284i	$-0.708892\pi$
$431$	−12.7972	+	4.31189i	−0.616422	+	0.207697i	−0.00626877	+	0.999980i	$0.501995\pi$
$432$	−0.907575	+	0.419889i	−0.0436657	+	0.0202019i
$433$	−7.85477	+	14.8157i	−0.377476	+	0.711996i	−0.997354	−	0.0727030i	$-0.976837\pi$
$433$	−7.85477	+	14.8157i	−0.377476	+	0.711996i	0.619877	+	0.784699i	$0.287182\pi$
$434$	3.18517	+	0.701108i	0.152893	+	0.0336543i
$435$	−3.29996	−	8.28227i	−0.158221	−	0.397104i
$436$	−3.01838	−	1.01701i	−0.144554	−	0.0487059i
$437$	23.0886	−	2.51104i	1.10448	−	0.120119i
$438$	0.139357	+	2.57028i	0.00665872	+	0.122813i
$439$	−1.76336	+	32.5233i	−0.0841607	+	1.55225i	0.586169	+	0.810189i	$0.300636\pi$
$439$	−1.76336	+	32.5233i	−0.0841607	+	1.55225i	−0.670329	+	0.742064i	$0.733847\pi$
$440$	4.70242	+	0.511419i	0.224179	+	0.0243810i
$441$	−1.30296	−	0.602814i	−0.0620458	−	0.0287054i
$442$	−0.261302	+	0.198637i	−0.0124289	+	0.00944819i
$443$	23.0824	−	17.5468i	1.09668	−	0.833673i	0.109610	−	0.993975i	$-0.465040\pi$
$443$	23.0824	−	17.5468i	1.09668	−	0.833673i	0.987068	+	0.160302i	$0.0512468\pi$
$444$	−0.108969	−	0.0504143i	−0.00517142	−	0.00239256i
$445$	−0.282802	−	0.0307566i	−0.0134061	−	0.00145800i
$446$	1.03210	−	19.0360i	0.0488715	−	0.901382i
$447$	−0.0378272	−	0.697682i	−0.00178917	−	0.0329992i
$448$	−2.34506	+	0.255041i	−0.110794	+	0.0120495i
$449$	−7.86762	−	2.65091i	−0.371296	−	0.125104i	0.127467	−	0.991843i	$-0.459315\pi$
$449$	−7.86762	−	2.65091i	−0.371296	−	0.125104i	−0.498762	+	0.866739i	$0.666212\pi$
$450$	−0.491416	−	1.23336i	−0.0231656	−	0.0581413i
$451$	1.73411	+	0.381706i	0.0816560	+	0.0179738i
$452$	−6.71774	+	12.6710i	−0.315976	+	0.595993i
$453$	−6.67702	+	3.08912i	−0.313714	+	0.145140i
$454$	−12.9365	+	4.35880i	−0.607138	+	0.204569i
$455$	−0.697860	−	0.821584i	−0.0327162	−	0.0385165i
$456$	3.25063	−	1.95584i	0.152225	−	0.0915906i
$457$	6.63043	−	23.8806i	0.310158	−	1.11709i	−0.630068	−	0.776540i	$-0.716973\pi$
$457$	6.63043	−	23.8806i	0.310158	−	1.11709i	0.940227	−	0.340550i	$-0.110613\pi$
$458$	−0.260686	+	0.0573813i	−0.0121810	+	0.00268125i
$459$	−0.772434	−	1.13925i	−0.0360541	−	0.0531758i
$460$	−8.51722	+	8.06794i	−0.397118	+	0.376170i
$461$	6.62746	+	3.98761i	0.308672	+	0.185722i	0.661458	−	0.749982i	$-0.269938\pi$
$461$	6.62746	+	3.98761i	0.308672	+	0.185722i	−0.352786	+	0.935704i	$0.614766\pi$
$462$	−0.941978	−	5.74581i	−0.0438248	−	0.267319i
$463$	−16.9328	+	24.9741i	−0.786936	+	1.16064i	0.196698	+	0.980464i	$0.436978\pi$
$463$	−16.9328	+	24.9741i	−0.786936	+	1.16064i	−0.983634	+	0.180180i	$0.942332\pi$
$464$	1.72201	−	4.32193i	0.0799425	−	0.200641i
$465$	1.71528	−	2.01938i	0.0795441	−	0.0936465i
$466$	−2.05866	+	12.5573i	−0.0953656	+	0.581705i
$467$	−20.5393	−	19.4559i	−0.950447	−	0.900311i	0.0446714	−	0.999002i	$-0.485776\pi$
$467$	−20.5393	−	19.4559i	−0.950447	−	0.900311i	−0.995118	+	0.0986908i	$0.968535\pi$
$468$	−0.0637963	−	0.229774i	−0.00294899	−	0.0106213i
$469$	−2.15003	−	4.05540i	−0.0992794	−	0.187261i
$470$	13.8920	+	10.5604i	0.640789	+	0.487115i
$471$	−12.5492			−0.578236
$472$	−7.53484	−	1.49204i	−0.346819	−	0.0686768i
$473$	−0.0224144			−0.00103062
$474$	12.7660	+	9.70443i	0.586360	+	0.445739i
$475$	2.35923	+	4.44997i	0.108249	+	0.204179i
$476$	−0.868621	−	3.12849i	−0.0398132	−	0.143394i
$477$	−1.09206	−	1.03445i	−0.0500019	−	0.0473643i
$478$	3.11429	−	18.9963i	0.142444	−	0.868871i
$479$	0.771508	−	0.908290i	0.0352511	−	0.0415008i	−0.744254	−	0.667897i	$-0.767195\pi$
$479$	0.771508	−	0.908290i	0.0352511	−	0.0415008i	0.779505	+	0.626396i	$0.215471\pi$
$480$	−0.709309	+	1.78023i	−0.0323754	+	0.0812561i
$481$	0.0160677	−	0.0236980i	0.000732622	−	0.00108054i
$482$	0.168290	+	1.02652i	0.00766538	+	0.0467568i
$483$	12.3739	+	7.44516i	0.563034	+	0.338766i
$484$	3.56271	−	3.37477i	0.161941	−	0.153399i
$485$	−11.9669	−	17.6498i	−0.543388	−	0.801437i
$486$	0.976621	−	0.214970i	0.0443004	−	0.00975126i
$487$	−0.0738418	+	0.265954i	−0.00334609	+	0.0120515i	−0.965204	−	0.261497i	$-0.915784\pi$
$487$	−0.0738418	+	0.265954i	−0.00334609	+	0.0120515i	0.961858	+	0.273549i	$0.0881975\pi$
$488$	−3.77353	+	2.27046i	−0.170820	+	0.102779i
$489$	14.4945	+	17.0642i	0.655462	+	0.771670i
$490$	−2.60717	+	0.878459i	−0.117780	+	0.0396847i
$491$	−29.1924	+	13.5059i	−1.31744	+	0.609511i	−0.947562	−	0.319572i	$-0.896461\pi$
$491$	−29.1924	+	13.5059i	−1.31744	+	0.609511i	−0.369873	+	0.929082i	$0.620599\pi$
$492$	−0.336955	+	0.635564i	−0.0151911	+	0.0286534i
$493$	6.25392	+	1.37659i	0.281662	+	0.0619986i
$494$	0.334849	+	0.840408i	0.0150656	+	0.0378117i
$495$	−4.48254	−	1.51034i	−0.201475	−	0.0678850i
$496$	1.37450	−	0.149486i	0.0617170	−	0.00671213i
$497$	−1.37033	−	25.2743i	−0.0614677	−	1.13371i
$498$	−0.735056	+	13.5573i	−0.0329386	+	0.607518i
$499$	−38.4296	−	4.17947i	−1.72034	−	0.187099i	−0.805967	−	0.591961i	$-0.798354\pi$
$499$	−38.4296	−	4.17947i	−1.72034	−	0.187099i	−0.914378	+	0.404862i	$0.867319\pi$
$500$	−11.0052	−	5.09154i	−0.492167	−	0.227701i
$501$	12.6793	−	9.63858i	0.566471	−	0.430620i
$502$	12.4171	−	9.43926i	0.554204	−	0.421295i
$503$	4.60226	+	2.12923i	0.205205	+	0.0949378i	0.519800	−	0.854288i	$-0.326007\pi$
$503$	4.60226	+	2.12923i	0.205205	+	0.0949378i	−0.314595	+	0.949226i	$0.601869\pi$
$504$	2.34506	+	0.255041i	0.104457	+	0.0113604i
$505$	0.498777	−	9.19940i	0.0221953	−	0.409368i
$506$	−0.818098	−	15.0889i	−0.0363689	−	0.670785i
$507$	−12.8673	+	1.39940i	−0.571455	+	0.0621495i
$508$	12.3141	+	4.14910i	0.546349	+	0.184086i
$509$	−1.70492	−	4.27903i	−0.0755693	−	0.189665i	0.886339	−	0.463037i	$-0.153240\pi$
$509$	−1.70492	−	4.27903i	−0.0755693	−	0.189665i	−0.961908	+	0.273372i	$0.911861\pi$
$510$	−2.57603	−	0.567027i	−0.114069	−	0.0251084i
$511$	2.84413	−	5.36460i	0.125817	−	0.237316i
$512$	−0.907575	+	0.419889i	−0.0401095	+	0.0185567i
$513$	−3.59508	+	1.21132i	−0.158727	+	0.0534813i
$514$	5.95770	+	7.01394i	0.262783	+	0.309372i
$515$	−4.65906	+	2.80327i	−0.205303	+	0.123527i
$516$	0.00242937	−	0.00874981i	0.000106947	−	0.000385189i
$517$	−21.9512	+	4.83182i	−0.965412	+	0.212503i
$518$	0.158940	+	0.234419i	0.00698343	+	0.0102998i
$519$	12.7317	−	12.0601i	0.558860	−	0.529380i
$520$	−0.391567	−	0.235598i	−0.0171713	−	0.0103317i
$521$	−6.52115	−	39.7773i	−0.285697	−	1.74267i	−0.606096	−	0.795392i	$-0.707265\pi$
$521$	−6.52115	−	39.7773i	−0.285697	−	1.74267i	0.320399	−	0.947283i	$-0.396183\pi$
$522$	−2.61084	+	3.85070i	−0.114273	+	0.168541i
$523$	2.08107	−	5.22309i	0.0909989	−	0.228390i	−0.876432	−	0.481526i	$-0.840083\pi$
$523$	2.08107	−	5.22309i	0.0909989	−	0.228390i	0.967431	+	0.253136i	$0.0814620\pi$
$524$	4.82076	−	5.67544i	0.210596	−	0.247933i
$525$	−0.506668	+	3.09054i	−0.0221128	+	0.134882i
$526$	−13.9034	−	13.1700i	−0.606219	−	0.574241i
$527$	0.509123	+	1.83369i	0.0221777	+	0.0798770i
$528$	−1.15619	−	2.18080i	−0.0503166	−	0.0949072i
$529$	11.5264	+	8.76216i	0.501149	+	0.380964i
$530$	−2.88260			−0.125212
$531$	7.03793	+	3.07693i	0.305420	+	0.133527i
$532$	−8.94883			−0.387981
$533$	−0.136564	−	0.103813i	−0.00591525	−	0.00449665i
$534$	0.0695327	+	0.131153i	0.00300898	+	0.00567553i
$535$	1.98095	+	7.13473i	0.0856439	+	0.308461i
$536$	−1.41269	−	1.33817i	−0.0610190	−	0.0578003i
$537$	0.452364	−	2.75930i	0.0195209	−	0.119072i
$538$	6.89462	−	8.11698i	0.297248	−	0.349948i
$539$	1.31164	−	3.29198i	0.0564965	−	0.141796i
$540$	1.07542	−	1.58613i	0.0462788	−	0.0682562i
$541$	6.49650	+	39.6269i	0.279306	+	1.70369i	0.637833	+	0.770175i	$0.279831\pi$
$541$	6.49650	+	39.6269i	0.279306	+	1.70369i	−0.358527	+	0.933519i	$0.616721\pi$
$542$	2.52518	+	1.51935i	0.108466	+	0.0652617i
$543$	6.04651	−	5.72755i	0.259480	−	0.245793i
$544$	−0.772434	−	1.13925i	−0.0331178	−	0.0488451i
$545$	5.96103	−	1.31212i	0.255343	−	0.0562051i
$546$	−0.150488	+	0.542010i	−0.00644031	+	0.0231959i
$547$	−6.15788	+	3.70507i	−0.263292	+	0.158417i	−0.641079	−	0.767475i	$-0.721513\pi$
$547$	−6.15788	+	3.70507i	−0.263292	+	0.158417i	0.377787	+	0.925893i	$0.376685\pi$
$548$	−10.9932	−	12.9422i	−0.469605	−	0.552862i
$549$	4.17339	−	1.40618i	0.178116	−	0.0600143i
$550$	2.97421	−	1.37602i	0.126821	−	0.0586736i
$551$	8.26717	−	15.5935i	0.352193	−	0.664307i
$552$	5.97886	+	1.31605i	0.254477	+	0.0560147i
$553$	−14.0010	−	35.1400i	−0.595385	−	1.49430i
$554$	−16.4637	−	5.54727i	−0.699476	−	0.235681i
$555$	0.228737	−	0.0248767i	0.00970936	−	0.00105596i
$556$	−1.20625	−	22.2480i	−0.0511564	−	0.943525i
$557$	−0.961828	+	17.7399i	−0.0407540	+	0.751663i	0.904728	+	0.425989i	$0.140074\pi$
$557$	−0.961828	+	17.7399i	−0.0407540	+	0.751663i	−0.945482	+	0.325674i	$0.894409\pi$
$558$	−1.37450	−	0.149486i	−0.0581874	−	0.00632826i
$559$	0.00196532		0.000909253i	8.31241e−5		3.84573e-5i
$560$	3.59868	−	2.73564i	0.152072	−	0.115602i
$561$	2.70471	−	2.05607i	0.114193	−	0.0868073i
$562$	10.0591	+	4.65385i	0.424319	+	0.196311i
$563$	−1.73409	−	0.188594i	−0.0730834	−	0.00794829i	0.0715043	−	0.997440i	$-0.477220\pi$
$563$	−1.73409	−	0.188594i	−0.0730834	−	0.00794829i	−0.144588	+	0.989492i	$0.546186\pi$
$564$	0.492990	−	9.09267i	0.0207586	−	0.382870i
$565$	−1.48792	−	27.4431i	−0.0625972	−	1.15454i
$566$	25.5492	−	2.77865i	1.07391	−	0.116795i
$567$	−2.23541	−	0.753196i	−0.0938783	−	0.0316313i
$568$	−3.97166	−	9.96812i	−0.166647	−	0.418253i
$569$	−9.00733	−	1.98266i	−0.377607	−	0.0831176i	0.0221116	−	0.999756i	$-0.492961\pi$
$569$	−9.00733	−	1.98266i	−0.377607	−	0.0831176i	−0.399718	+	0.916638i	$0.630892\pi$
$570$	−3.40530	+	6.42308i	−0.142632	+	0.269033i
$571$	−16.3680	+	7.57263i	−0.684978	+	0.316905i	−0.731333	−	0.682020i	$-0.761102\pi$
$571$	−16.3680	+	7.57263i	−0.684978	+	0.316905i	0.0463548	+	0.998925i	$0.485240\pi$
$572$	0.557800	−	0.187945i	0.0233228	−	0.00785837i
$573$	−5.08827	−	5.99038i	−0.212566	−	0.250252i
$574$	1.45399	−	0.874839i	0.0606885	−	0.0365151i
$575$	−2.17444	+	7.83164i	−0.0906806	+	0.326602i
$576$	0.976621	−	0.214970i	0.0406925	−	0.00895710i
$577$	2.34568	+	3.45963i	0.0976521	+	0.144026i	0.873376	−	0.487046i	$-0.161926\pi$
$577$	2.34568	+	3.45963i	0.0976521	+	0.144026i	−0.775724	+	0.631072i	$0.782615\pi$
$578$	−10.9665	+	10.3880i	−0.456146	+	0.432084i
$579$	12.9767	+	7.80781i	0.539292	+	0.324481i
$580$	1.44236	+	8.79803i	0.0598909	+	0.365318i
$581$	17.9732	−	26.5085i	0.745655	−	1.09976i
$582$	−4.11875	+	10.3373i	−0.170728	+	0.428494i
$583$	2.40369	−	2.82985i	0.0995508	−	0.117200i
$584$	0.416436	−	2.54015i	0.0172322	−	0.105112i
$585$	0.331766	+	0.314265i	0.0137168	+	0.0129933i
$586$	−3.91408	−	14.0972i	−0.161689	−	0.582352i
$587$	−6.28784	−	11.8601i	−0.259527	−	0.489520i	0.719169	−	0.694835i	$-0.244523\pi$
$587$	−6.28784	−	11.8601i	−0.259527	−	0.489520i	−0.978696	+	0.205315i	$0.934178\pi$
$588$	1.14291	+	0.868819i	0.0471329	+	0.0358295i
$589$	5.24516			0.216123
$590$	13.8465	−	4.99426i	0.570052	−	0.205610i
$591$	−17.4373			−0.717276
$592$	0.0955834	+	0.0726606i	0.00392846	+	0.00298633i
$593$	19.9519	+	37.6332i	0.819325	+	1.54541i	0.838055	+	0.545586i	$0.183693\pi$
$593$	19.9519	+	37.6332i	0.819325	+	1.54541i	−0.0187294	+	0.999825i	$0.505962\pi$
$594$	0.660349	+	2.37836i	0.0270944	+	0.0975853i
$595$	4.51717	+	4.27889i	0.185186	+	0.175417i
$596$	−0.113038	+	0.689502i	−0.00463022	+	0.0282431i
$597$	−5.87567	+	6.91737i	−0.240475	+	0.283109i
$598$	−0.540359	+	1.35620i	−0.0220969	+	0.0554591i
$599$	−5.02570	+	7.41236i	−0.205345	+	0.302861i	−0.916391	−	0.400285i	$-0.868911\pi$
$599$	−5.02570	+	7.41236i	−0.205345	+	0.302861i	0.711046	+	0.703145i	$0.248222\pi$
$600$	0.214791	+	1.31017i	0.00876880	+	0.0534873i
$601$	−13.1073	−	7.88637i	−0.534656	−	0.321692i	0.222493	−	0.974934i	$-0.428581\pi$
$601$	−13.1073	−	7.88637i	−0.534656	−	0.321692i	−0.757149	+	0.653242i	$0.773408\pi$
$602$	−0.0155513	+	0.0147309i	−0.000633822	+	0.000600388i
$603$	1.09200	+	1.61057i	0.0444695	+	0.0655876i
$604$	7.18499	−	1.58154i	0.292353	−	0.0643518i
$605$	−2.51587	+	9.06133i	−0.102284	+	0.368395i
$606$	−4.11940	+	2.47856i	−0.167339	+	0.100685i
$607$	12.3938	+	14.5911i	0.503049	+	0.592236i	0.953810	−	0.300409i	$-0.0971232\pi$
$607$	12.3938	+	14.5911i	0.503049	+	0.592236i	−0.450761	+	0.892645i	$0.648847\pi$
$608$	−3.59508	+	1.21132i	−0.145800	+	0.0491257i
$609$	9.96008	−	4.60802i	0.403603	−	0.186727i
$610$	3.95308	−	7.45631i	0.160056	−	0.301897i
$611$	2.12071	+	0.466803i	0.0857946	+	0.0188848i
$612$	0.509469	+	1.27867i	0.0205940	+	0.0516872i
$613$	39.8216	+	13.4174i	1.60838	+	0.541926i	0.973105	−	0.230362i	$-0.0739910\pi$
$613$	39.8216	+	13.4174i	1.60838	+	0.541926i	0.635273	+	0.772288i	$0.280888\pi$
$614$	−16.8111	+	1.82832i	−0.678441	+	0.0737849i
$615$	−0.0746325	−	1.37652i	−0.00300947	−	0.0555064i
$616$	−0.315225	+	5.81398i	−0.0127008	+	0.234252i
$617$	5.02168	+	0.546141i	0.202165	+	0.0219868i	0.208641	−	0.977992i	$-0.433096\pi$
$617$	5.02168	+	0.546141i	0.202165	+	0.0219868i	−0.00647597	+	0.999979i	$0.502061\pi$
$618$	2.57514	+	1.19139i	0.103587	+	0.0479247i
$619$	−22.1462	+	16.8351i	−0.890132	+	0.676661i	−0.946831	−	0.321730i	$-0.895736\pi$
$619$	−22.1462	+	16.8351i	−0.890132	+	0.676661i	0.0566990	+	0.998391i	$0.481942\pi$
$620$	−2.10928	+	1.60343i	−0.0847108	+	0.0643955i
$621$	−5.55617	−	2.57056i	−0.222961	−	0.103153i
$622$	−13.6617	−	1.48580i	−0.547785	−	0.0595752i
$623$	0.0189575	−	0.349651i	0.000759517	−	0.0140085i
$624$	0.0129103	+	0.238116i	0.000516825	+	0.00953227i
$625$	16.5017	−	1.79467i	0.660070	−	0.0717869i
$626$	−23.0237	−	7.75758i	−0.920211	−	0.310055i
$627$	−3.46598	−	8.69897i	−0.138418	−	0.347403i
$628$	12.2558	+	2.69770i	0.489059	+	0.107650i
$629$	−0.0774100	+	0.146011i	−0.00308654	+	0.00582183i
$630$	−4.10262	+	1.89808i	−0.163452	+	0.0756211i
$631$	−20.5408	+	6.92100i	−0.817717	+	0.275521i	−0.696913	−	0.717156i	$-0.745444\pi$
$631$	−20.5408	+	6.92100i	−0.817717	+	0.275521i	−0.120804	+	0.992676i	$0.538547\pi$
$632$	−10.3813	−	12.2218i	−0.412947	−	0.486159i
$633$	−18.5390	+	11.1545i	−0.736857	+	0.443352i
$634$	−7.75306	+	27.9240i	−0.307913	+	1.10900i
$635$	−24.3193	+	5.35307i	−0.965080	+	0.212430i
$636$	0.844150	+	1.24503i	0.0334727	+	0.0493686i
$637$	−0.248547	+	0.235436i	−0.00984779	+	0.00932832i
$638$	−9.83977	−	5.92039i	−0.389560	−	0.234391i
$639$	1.73596	+	10.5889i	0.0686734	+	0.418889i
$640$	1.07542	−	1.58613i	0.0425098	−	0.0626973i
$641$	−9.62629	+	24.1602i	−0.380216	+	0.954269i	0.606975	+	0.794721i	$0.292383\pi$
$641$	−9.62629	+	24.1602i	−0.380216	+	0.954269i	−0.987190	+	0.159548i	$0.948996\pi$
$642$	2.50147	−	2.94496i	0.0987251	−	0.116228i
$643$	−6.61978	+	40.3789i	−0.261059	+	1.59239i	0.452482	+	0.891774i	$0.350539\pi$
$643$	−6.61978	+	40.3789i	−0.261059	+	1.59239i	−0.713541	+	0.700614i	$0.752910\pi$
$644$	−10.4842	−	9.93112i	−0.413134	−	0.391341i
$645$	0.00465549	+	0.0167676i	0.000183310	+	0.000660223i
$646$	−2.44589	−	4.61344i	−0.0962324	−	0.181514i
$647$	25.6348	+	19.4871i	1.00781	+	0.766115i	0.972415	−	0.233258i	$-0.0749388\pi$
$647$	25.6348	+	19.4871i	1.00781	+	0.766115i	0.0353924	+	0.999373i	$0.488732\pi$
$648$	−1.00000			−0.0392837
$649$	−6.64324	+	17.7577i	−0.260770	+	0.697049i
$650$	−0.316601			−0.0124181
$651$	2.59639	+	1.97373i	0.101761	+	0.0773564i
$652$	−10.4873	−	19.7811i	−0.410714	−	0.774689i
$653$	1.45444	+	5.23844i	0.0569168	+	0.204996i	0.986541	−	0.163512i	$-0.0522824\pi$
$653$	1.45444	+	5.23844i	0.0569168	+	0.204996i	−0.929624	+	0.368508i	$0.879869\pi$
$654$	−2.31237	−	2.19040i	−0.0904209	−	0.0856513i
$655$	−2.30863	+	14.0820i	−0.0902056	+	0.550230i
$656$	0.465704	−	0.548269i	0.0181827	−	0.0214063i
$657$	−0.952756	+	2.39124i	−0.0371706	+	0.0932911i
$658$	−12.0543	+	17.7788i	−0.469927	+	0.693091i
$659$	−0.520175	−	3.17293i	−0.0202631	−	0.123600i	0.974758	−	0.223264i	$-0.0716713\pi$
$659$	−0.520175	−	3.17293i	−0.0202631	−	0.123600i	−0.995021	+	0.0996646i	$0.968223\pi$
$660$	4.05307	+	2.43865i	0.157765	+	0.0949243i
$661$	−4.72963	+	4.48015i	−0.183961	+	0.174257i	−0.774138	−	0.633016i	$-0.781817\pi$
$661$	−4.72963	+	4.48015i	−0.183961	+	0.174257i	0.590177	+	0.807274i	$0.299058\pi$
$662$	−11.0789	−	16.3402i	−0.430594	−	0.635079i
$663$	−0.320557	+	0.0705599i	−0.0124494	+	0.00274032i
$664$	3.63229	−	13.0823i	0.140960	−	0.507693i
$665$	14.6942	−	8.84122i	0.569817	−	0.342848i
$666$	−0.0777289	−	0.0915095i	−0.00301193	−	0.00354592i
$667$	26.9907	−	9.09424i	1.04509	−	0.352130i
$668$	−14.4549	+	6.68756i	−0.559277	+	0.258749i
$669$	8.92974	−	16.8433i	0.345244	−	0.651198i
$670$	3.64176	+	0.801611i	0.140693	+	0.0309689i
$671$	4.02353	+	10.0983i	0.155327	+	0.389840i
$672$	−2.23541	−	0.753196i	−0.0862327	−	0.0290552i
$673$	17.1428	−	1.86439i	0.660807	−	0.0718671i	0.228430	−	0.973560i	$-0.426641\pi$
$673$	17.1428	−	1.86439i	0.660807	−	0.0718671i	0.432377	+	0.901693i	$0.357675\pi$
$674$	1.04818	+	19.3326i	0.0403745	+	0.744665i
$675$	0.0718779	−	1.32571i	0.00276658	−	0.0510266i
$676$	12.8673	+	1.39940i	0.494895	+	0.0538230i
$677$	−19.0123	−	8.79602i	−0.730702	−	0.338059i	0.0190136	−	0.999819i	$-0.493947\pi$
$677$	−19.0123	−	8.79602i	−0.730702	−	0.338059i	−0.749715	+	0.661761i	$0.769809\pi$
$678$	−11.4173	+	8.67918i	−0.438477	+	0.333322i
$679$	20.8965	−	15.8851i	0.801933	−	0.609613i
$680$	2.39391	+	1.10754i	0.0918023	+	0.0424723i
$681$	−13.5710	−	1.47594i	−0.520043	−	0.0565581i
$682$	0.184762	−	3.40773i	0.00707489	−	0.130489i
$683$	−2.76997	−	51.0892i	−0.105990	−	1.95487i	−0.257169	−	0.966367i	$-0.582790\pi$
$683$	−2.76997	−	51.0892i	−0.105990	−	1.95487i	0.151179	−	0.988506i	$-0.451693\pi$
$684$	3.77143	−	0.410168i	0.144204	−	0.0156832i
$685$	30.8376	+	10.3904i	1.17824	+	0.396997i
$686$	−7.36529	−	18.4855i	−0.281208	−	0.705779i
$687$	−0.260686	−	0.0573813i	−0.00994578	−	0.00218923i
$688$	−0.00425353	+	0.00802300i	−0.000162164	+	0.000305874i
$689$	−0.325552	+	0.150617i	−0.0124026	+	0.00573803i
$690$	−11.1177	+	3.74598i	−0.423242	+	0.142607i
$691$	1.26037	+	1.48382i	0.0479466	+	0.0564471i	0.785613	−	0.618719i	$-0.212348\pi$
$691$	1.26037	+	1.48382i	0.0479466	+	0.0564471i	−0.737666	+	0.675166i	$0.764072\pi$
$692$	−15.0266	+	9.04121i	−0.571226	+	0.343695i
$693$	1.55769	−	5.61029i	0.0591717	−	0.213117i
$694$	−11.4582	+	2.52215i	−0.434949	+	0.0957395i
$695$	23.9611	+	35.3400i	0.908898	+	1.34052i
$696$	3.37759	−	3.19942i	0.128027	−	0.121274i
$697$	0.848416	+	0.510475i	0.0321360	+	0.0193356i
$698$	−5.18237	−	31.6111i	−0.196156	−	1.19650i
$699$	−7.14105	+	10.5323i	−0.270099	+	0.398367i
$700$	1.15920	−	2.90936i	0.0438135	−	0.109964i
$701$	22.1500	−	26.0770i	0.836594	−	0.984915i	−0.163405	−	0.986559i	$-0.552248\pi$
$701$	22.1500	−	26.0770i	0.836594	−	0.984915i	0.999999	+	0.00164446i	$0.000523448\pi$
$702$	0.0385795	−	0.235324i	0.00145609	−	0.00888174i
$703$	0.330683	+	0.313240i	0.0124719	+	0.0118141i
$704$	0.660349	+	2.37836i	0.0248878	+	0.0896378i
$705$	8.17382	+	15.4175i	0.307844	+	0.580655i
$706$	−2.73596	−	2.07982i	−0.102969	−	0.0782751i
$707$	11.3405			0.426504
$708$	−6.21194	−	4.51794i	−0.233459	−	0.169794i
$709$	28.4426			1.06818			0.534092	−	0.845426i	$-0.320654\pi$
$709$	28.4426			1.06818			0.534092	+	0.845426i	$0.320654\pi$
$710$	16.3698	+	12.4440i	0.614348	+	0.467016i
$711$	7.51128	+	14.1678i	0.281695	+	0.531333i
$712$	−0.0397131	−	0.143034i	−0.00148831	−	0.00536042i
$713$	6.14505	+	5.82090i	0.230134	+	0.217994i
$714$	0.525280	−	3.20407i	0.0196581	−	0.119909i
$715$	−0.730238	+	0.859703i	−0.0273094	+	0.0321511i
$716$	−1.03495	+	2.59754i	−0.0386781	+	0.0970746i
$717$	10.8028	−	15.9329i	0.403438	−	0.595026i
$718$	4.85134	+	29.5919i	0.181050	+	1.10436i
$719$	−30.2857	−	18.2223i	−1.12947	−	0.679578i	−0.176997	−	0.984211i	$-0.556638\pi$
$719$	−30.2857	−	18.2223i	−1.12947	−	0.679578i	−0.952470	+	0.304634i	$0.901466\pi$
$720$	−1.39125	+	1.31786i	−0.0518489	+	0.0491139i
$721$	−3.75607	−	5.53979i	−0.139883	−	0.206312i
$722$	4.50035	−	0.990602i	0.167486	−	0.0368664i
$723$	−0.278290	+	1.00231i	−0.0103497	+	0.0372763i
$724$	−7.13640	+	4.29383i	−0.265222	+	0.159579i
$725$	3.99873	+	4.70767i	0.148509	+	0.174838i
$726$	4.65046	−	1.56692i	0.172595	−	0.0581539i
$727$	−16.5368	+	7.65072i	−0.613314	+	0.283749i	−0.701851	−	0.712323i	$-0.747643\pi$
$727$	−16.5368	+	7.65072i	−0.613314	+	0.283749i	0.0885369	+	0.996073i	$0.471781\pi$
$728$	0.263486	−	0.496988i	0.00976545	−	0.0184196i
$729$	0.976621	+	0.214970i	0.0361711	+	0.00796187i
$730$	1.82580	+	4.58242i	0.0675759	+	0.169603i
$731$	−0.0118448	−	0.00399097i	−0.000438095	−	0.000147611i
$732$	−4.37811	+	0.476148i	−0.161819	+	0.0175989i
$733$	−2.36394	−	43.6003i	−0.0873141	−	1.61041i	−0.634175	−	0.773190i	$-0.718660\pi$
$733$	−2.36394	−	43.6003i	−0.0873141	−	1.61041i	0.546860	−	0.837224i	$-0.315823\pi$
$734$	−0.654907	+	12.0791i	−0.0241731	+	0.445846i
$735$	−2.73506	−	0.297456i	−0.100884	−	0.0109718i
$736$	−5.55617	−	2.57056i	−0.204803	−	0.0947520i
$737$	−3.82367	+	2.90668i	−0.140847	+	0.107069i
$738$	−0.572678	+	0.435339i	−0.0210806	+	0.0160250i
$739$	41.9716	+	19.4181i	1.54395	+	0.714307i	0.992765	−	0.120076i	$-0.0383137\pi$
$739$	41.9716	+	19.4181i	1.54395	+	0.714307i	0.551185	+	0.834383i	$0.314176\pi$
$740$	−0.228737	−	0.0248767i	−0.00840855	−	0.000914485i
$741$	−0.0489773	+	0.903333i	−0.00179923	+	0.0331848i
$742$	−0.192101	−	3.54309i	−0.00705224	−	0.130071i
$743$	33.6312	−	3.65761i	1.23381	−	0.134185i	0.532120	−	0.846669i	$-0.321395\pi$
$743$	33.6312	−	3.65761i	1.23381	−	0.134185i	0.701688	+	0.712484i	$0.252430\pi$
$744$	1.31023	+	0.441469i	0.0480355	+	0.0161850i
$745$	−0.495599	−	1.24386i	−0.0181573	−	0.0455715i
$746$	30.5732	+	6.72968i	1.11937	+	0.246391i
$747$	−6.35969	+	11.9956i	−0.232689	+	0.438897i
$748$	−3.08347	+	1.42657i	−0.112743	+	0.0521604i
$749$	−8.63751	+	2.91032i	−0.315608	+	0.106341i
$750$	−7.85015	−	9.24191i	−0.286647	−	0.337467i
$751$	28.7175	−	17.2788i	1.04792	−	0.630512i	0.116026	−	0.993246i	$-0.462984\pi$
$751$	28.7175	−	17.2788i	1.04792	−	0.630512i	0.931892	+	0.362735i	$0.118157\pi$
$752$	−2.43612	+	8.77411i	−0.0888361	+	0.319959i
$753$	15.2329	−	3.35302i	0.555119	−	0.122191i
$754$	0.622596	+	0.918261i	0.0226736	+	0.0334411i
$755$	−10.2354	+	9.69551i	−0.372505	+	0.352856i
$756$	2.02123	+	1.21613i	0.0735114	+	0.0442303i
$757$	−7.39797	−	45.1256i	−0.268884	−	1.64012i	−0.683377	−	0.730066i	$-0.739489\pi$
$757$	−7.39797	−	45.1256i	−0.268884	−	1.64012i	0.414493	−	0.910053i	$-0.363959\pi$
$758$	−11.6217	+	17.1407i	−0.422118	+	0.622578i
$759$	5.59319	−	14.0379i	0.203020	−	0.509542i
$760$	4.70646	−	5.54087i	0.170721	−	0.200989i
$761$	−7.21865	+	44.0318i	−0.261676	+	1.59615i	0.449593	+	0.893233i	$0.351569\pi$
$761$	−7.21865	+	44.0318i	−0.261676	+	1.59615i	−0.711269	+	0.702920i	$0.751879\pi$
$762$	9.43380	+	8.93617i	0.341751	+	0.323723i
$763$	2.01002	+	7.23945i	0.0727677	+	0.262086i
$764$	3.68156	+	6.94415i	0.133194	+	0.251231i
$765$	−2.09985	−	1.59627i	−0.0759204	−	0.0577132i
$766$	−5.15726			−0.186339
$767$	1.30283	−	1.28752i	0.0470426	−	0.0464897i
$768$	−1.00000			−0.0360844
$769$	12.3586	+	9.39475i	0.445662	+	0.338783i	0.803815	−	0.594880i	$-0.202800\pi$
$769$	12.3586	+	9.39475i	0.445662	+	0.338783i	−0.358153	+	0.933663i	$0.616593\pi$
$770$	−5.22645	−	9.85814i	−0.188348	−	0.355263i
$771$	2.46198	+	8.86725i	0.0886661	+	0.319346i
$772$	−10.9948	−	10.4149i	−0.395713	−	0.374839i
$773$	8.16345	−	49.7948i	0.293619	−	1.79099i	−0.267812	−	0.963471i	$-0.586301\pi$
$773$	8.16345	−	49.7948i	0.293619	−	1.79099i	0.561431	−	0.827524i	$-0.310251\pi$
$774$	0.00587879	−	0.00692104i	0.000211309	−	0.000248772i
$775$	−0.679436	+	1.70526i	−0.0244061	+	0.0612546i
$776$	6.24467	−	9.21020i	0.224170	−	0.330627i
$777$	0.0458201	+	0.279490i	0.00164379	+	0.0100267i
$778$	−2.24281	−	1.34945i	−0.0804087	−	0.0483803i
$779$	1.98125	−	1.87674i	0.0709858	−	0.0672413i
$780$	−0.256451	−	0.378238i	−0.00918244	−	0.0135431i
$781$	−25.8665	+	5.69365i	−0.925577	+	0.203735i
$782$	2.25432	−	8.11933i	0.0806144	−	0.290347i
$783$	−3.98640	+	2.39854i	−0.142462	+	0.0857168i
$784$	−0.929420	−	1.09420i	−0.0331936	−	0.0390785i
$785$	−22.7896	+	7.67871i	−0.813395	+	0.274065i
$786$	6.75826	−	3.12671i	0.241059	−	0.111526i
$787$	−12.3982	+	23.3855i	−0.441947	+	0.833601i	0.558045	+	0.829810i	$0.311551\pi$
$787$	−12.3982	+	23.3855i	−0.441947	+	0.833601i	−0.999993	+	0.00379085i	$0.998793\pi$
$788$	17.0297	+	3.74851i	0.606657	+	0.133535i
$789$	−7.08847	−	17.7907i	−0.252356	−	0.633366i
$790$	29.1213	+	9.81210i	1.03609	+	0.349099i
$791$	33.6319	−	3.65769i	1.19581	−	0.130053i
$792$	−0.133633	−	2.46471i	−0.00474843	−	0.0875797i
$793$	0.0568558	−	1.04864i	0.00201901	−	0.0372384i
$794$	−6.67571	−	0.726027i	−0.236912	−	0.0257657i
$795$	−2.61617	−	1.21037i	−0.0927861	−	0.0429274i
$796$	7.22533	−	5.49255i	0.256095	−	0.194678i
$797$	12.0804	−	9.18330i	0.427910	−	0.325289i	−0.368954	−	0.929448i	$-0.620284\pi$
$797$	12.0804	−	9.18330i	0.427910	−	0.325289i	0.796864	+	0.604159i	$0.206491\pi$
$798$	−8.12174	−	3.75752i	−0.287507	−	0.133015i
$799$	−12.4603	−	1.35514i	−0.440814	−	0.0479414i
$800$	0.0718779	−	1.32571i	0.00254127	−	0.0468709i
$801$	0.00803663	+	0.148227i	0.000283960	+	0.00523734i
$802$	−9.77781	+	1.06340i	−0.345266	+	0.0375500i
$803$	−6.02103	−	2.02872i	−0.212478	−	0.0715920i
$804$	−0.720240	−	1.80767i	−0.0254009	−	0.0637515i
$805$	27.0270	+	5.94908i	0.952575	+	0.209678i
$806$	−0.154436	+	0.291298i	−0.00543979	+	0.0102605i
$807$	9.66562	−	4.47179i	0.340246	−	0.157415i
$808$	4.55591	−	1.53506i	0.160276	−	0.0540034i
$809$	1.22176	+	1.43837i	0.0429548	+	0.0505703i	0.783220	−	0.621745i	$-0.213576\pi$
$809$	1.22176	+	1.43837i	0.0429548	+	0.0505703i	−0.740265	+	0.672315i	$0.765300\pi$
$810$	1.64203	−	0.987974i	0.0576949	−	0.0347139i
$811$	−4.52085	+	16.2826i	−0.158748	+	0.571760i	0.840789	+	0.541362i	$0.182091\pi$
$811$	−4.52085	+	16.2826i	−0.158748	+	0.571760i	−0.999538	+	0.0303980i	$0.990323\pi$
$812$	−10.7178	+	2.35917i	−0.376121	+	0.0827905i
$813$	1.65383	+	2.43922i	0.0580024	+	0.0855472i
$814$	0.215157	−	0.203808i	0.00754126	−	0.00714346i
$815$	36.7637	+	22.1200i	1.28777	+	0.774828i
$816$	−0.222681	−	1.35830i	−0.00779540	−	0.0475499i
$817$	−0.0193326	+	0.0285135i	−0.000676364	+	0.000997562i
$818$	6.56894	−	16.4868i	0.229677	−	0.576447i
$819$	−0.364164	+	0.428727i	−0.0127249	+	0.0149809i
$820$	−0.223022	+	1.36038i	−0.00778828	+	0.0475064i
$821$	−11.6736	−	11.0578i	−0.407410	−	0.385919i	0.456368	−	0.889791i	$-0.349150\pi$
$821$	−11.6736	−	11.0578i	−0.407410	−	0.385919i	−0.863779	+	0.503871i	$0.831909\pi$
$822$	−4.54286	−	16.3619i	−0.158451	−	0.570687i
$823$	19.3414	+	36.4817i	0.674197	+	1.27167i	0.950537	+	0.310611i	$0.100534\pi$
$823$	19.3414	+	36.4817i	0.674197	+	1.27167i	−0.276340	+	0.961060i	$0.589122\pi$
$824$	−2.25882	−	1.71711i	−0.0786899	−	0.0598185i
$825$	3.27710			0.114094
$826$	7.06135	+	16.6863i	0.245696	+	0.580592i
$827$	19.4042			0.674749			0.337374	−	0.941371i	$-0.390461\pi$
$827$	19.4042			0.674749			0.337374	+	0.941371i	$0.390461\pi$
$828$	4.87367	+	3.70487i	0.169372	+	0.128753i
$829$	16.7365	+	31.5683i	0.581281	+	1.09641i	0.983507	+	0.180872i	$0.0578921\pi$
$829$	16.7365	+	31.5683i	0.581281	+	1.09641i	−0.402225	+	0.915541i	$0.631763\pi$
$830$	6.96069	+	25.0701i	0.241609	+	0.870197i
$831$	−12.6128	−	11.9475i	−0.437534	−	0.414454i
$832$	0.0385795	−	0.235324i	0.00133750	−	0.00815840i
$833$	1.27928	−	1.50609i	0.0443244	−	0.0521828i
$834$	8.24693	−	20.6982i	0.285568	−	0.716721i
$835$	17.1282	−	25.2622i	0.592746	−	0.874235i
$836$	1.51493	+	9.24067i	0.0523950	+	0.319595i
$837$	−1.18470	−	0.712809i	−0.0409491	−	0.0246383i
$838$	9.09205	−	8.61244i	0.314080	−	0.297512i
$839$	−22.4517	−	33.1138i	−0.775118	−	1.14321i	−0.986170	−	0.165739i	$-0.946999\pi$
$839$	−22.4517	−	33.1138i	−0.775118	−	1.14321i	0.211051	−	0.977475i	$-0.432311\pi$
$840$	4.41474	−	0.971757i	0.152323	−	0.0335288i
$841$	−1.96783	+	7.08748i	−0.0678562	+	0.244396i
$842$	3.16356	−	1.90345i	0.109024	−	0.0655973i
$843$	7.17533	+	8.44745i	0.247131	+	0.290945i
$844$	20.5034	−	6.90840i	0.705757	−	0.237797i
$845$	−22.5109	+	10.4147i	−0.774400	+	0.358276i
$846$	4.26534	−	8.04528i	0.146645	−	0.276602i
$847$	−11.3052	−	2.48847i	−0.388452	−	0.0855048i
$848$	−0.556770	−	1.39739i	−0.0191196	−	0.0479865i
$849$	24.3546	+	8.20601i	0.835847	+	0.281629i
$850$	1.81671	−	0.197579i	0.0623127	−	0.00677691i
$851$	0.0397943	+	0.733963i	0.00136413	+	0.0251599i
$852$	0.580922	−	10.7145i	0.0199021	−	0.367072i
$853$	−24.1802	−	2.62976i	−0.827916	−	0.0900412i	−0.315658	−	0.948873i	$-0.602225\pi$
$853$	−24.1802	−	2.62976i	−0.827916	−	0.0900412i	−0.512258	+	0.858832i	$0.671191\pi$
$854$	9.42822	+	4.36196i	0.322627	+	0.149263i
$855$	−5.78755	+	4.39958i	−0.197930	+	0.150462i
$856$	−3.07607	+	2.33836i	−0.105138	+	0.0799237i
$857$	−7.17815	−	3.32097i	−0.245201	−	0.113442i	0.293440	−	0.955978i	$-0.405200\pi$
$857$	−7.17815	−	3.32097i	−0.245201	−	0.113442i	−0.538641	+	0.842535i	$0.681062\pi$
$858$	0.585162	+	0.0636402i	0.0199771	+	0.00217264i
$859$	0.814911	−	15.0301i	0.0278044	−	0.512822i	−0.951148	−	0.308734i	$-0.900095\pi$
$859$	0.814911	−	15.0301i	0.0278044	−	0.512822i	0.978953	−	0.204087i	$-0.0654227\pi$
$860$	−0.000942118	−	0.0173763i	−3.21260e−5	−	0.000592529i
$861$	1.68694	−	0.183466i	0.0574909	−	0.00625251i
$862$	12.7972	+	4.31189i	0.435876	+	0.146864i
$863$	8.63199	+	21.6647i	0.293836	+	0.737474i	0.999579	+	0.0290055i	$0.00923405\pi$
$863$	8.63199	+	21.6647i	0.293836	+	0.737474i	−0.705743	+	0.708468i	$0.749387\pi$
$864$	0.976621	+	0.214970i	0.0332253	+	0.00731344i
$865$	15.7416	−	29.6918i	0.535231	−	1.00955i
$866$	15.2192	−	7.04115i	0.517169	−	0.239268i
$867$	−14.3147	+	4.82319i	−0.486153	+	0.163804i
$868$	−2.11140	−	2.48573i	−0.0716655	−	0.0843711i
$869$	−33.9157	+	20.4064i	−1.15051	+	0.692241i
$870$	−2.38514	+	8.59051i	−0.0808639	+	0.291245i
$871$	0.453174	−	0.0997512i	0.0153552	−	0.00337994i
$872$	1.78744	+	2.63628i	0.0605304	+	0.0892756i
$873$	−8.07859	+	7.65245i	−0.273419	+	0.258996i
$874$	−19.9003	−	11.9736i	−0.673139	−	0.405014i
$875$	4.62756	+	28.2269i	0.156440	+	0.954242i
$876$	1.44453	−	2.13052i	0.0488060	−	0.0719835i
$877$	16.4104	−	41.1870i	0.554139	−	1.39079i	−0.338907	−	0.940820i	$-0.610057\pi$
$877$	16.4104	−	41.1870i	0.554139	−	1.39079i	0.893046	−	0.449965i	$-0.148564\pi$
$878$	21.0861	−	24.8244i	0.711620	−	0.837784i
$879$	2.36696	−	14.4378i	0.0798355	−	0.486975i
$880$	−3.43407	−	3.25292i	−0.115762	−	0.109656i
$881$	1.63537	+	5.89008i	0.0550971	+	0.198442i	0.985976	−	0.166885i	$-0.0533709\pi$
$881$	1.63537	+	5.89008i	0.0550971	+	0.198442i	−0.930879	+	0.365327i	$0.880957\pi$
$882$	0.672471	+	1.26841i	0.0226433	+	0.0427097i
$883$	−9.32762	−	7.09067i	−0.313899	−	0.238620i	0.436347	−	0.899778i	$-0.356272\pi$
$883$	−9.32762	−	7.09067i	−0.313899	−	0.238620i	−0.750246	+	0.661158i	$0.770065\pi$
$884$	0.328231			0.0110396
$885$	14.6638	+	1.28133i	0.492918	+	0.0430715i
$886$	−28.9946			−0.974092
$887$	21.1069	+	16.0450i	0.708700	+	0.538740i	0.896269	−	0.443512i	$-0.146268\pi$
$887$	21.1069	+	16.0450i	0.708700	+	0.538740i	−0.187569	+	0.982252i	$0.560061\pi$
$888$	0.0562398	+	0.106079i	0.00188728	+	0.00355979i
$889$	−8.20030	−	29.5348i	−0.275029	−	0.990566i
$890$	0.206524	+	0.195630i	0.00692269	+	0.00655752i
$891$	−0.399332	+	2.43582i	−0.0133781	+	0.0816029i
$892$	−12.3418	+	14.5299i	−0.413233	+	0.486495i
$893$	−12.7865	+	32.0917i	−0.427884	+	1.07391i
$894$	−0.392105	+	0.578312i	−0.0131140	+	0.0193416i
$895$	−0.866881	−	5.28774i	−0.0289766	−	0.176750i
$896$	2.02123	+	1.21613i	0.0675245	+	0.0406282i
$897$	−1.05987	+	1.00396i	−0.0353880	+	0.0335213i
$898$	4.65909	+	6.87165i	0.155476	+	0.229310i
$899$	6.28200	−	1.38277i	0.209516	−	0.0461180i
$900$	−0.355186	+	1.27926i	−0.0118395	+	0.0426421i
$901$	1.77408	−	1.06743i	0.0591033	−	0.0355613i
$902$	−1.14951	−	1.35331i	−0.0382746	−	0.0450603i
$903$	−0.0202993	+	0.00683963i	−0.000675518	+	0.000227609i
$904$	13.0161	−	6.02189i	0.432909	−	0.200285i
$905$	7.47596	−	14.1012i	0.248509	−	0.468738i
$906$	7.18499	+	1.58154i	0.238705	+	0.0525430i
$907$	−13.2270	−	33.1973i	−0.439195	−	1.10230i	−0.967416	−	0.253191i	$-0.918520\pi$
$907$	−13.2270	−	33.1973i	−0.439195	−	1.10230i	0.528221	−	0.849107i	$-0.322859\pi$
$908$	12.9365	+	4.35880i	0.429312	+	0.144652i
$909$	−4.77939	+	0.519790i	−0.158522	+	0.0172403i
$910$	0.0583599	+	1.07638i	0.00193461	+	0.0356818i
$911$	1.37473	−	25.3553i	0.0455467	−	0.840060i	−0.883121	−	0.469146i	$-0.844562\pi$
$911$	1.37473	−	25.3553i	0.0455467	−	0.840060i	0.928667	−	0.370914i	$-0.120955\pi$
$912$	−3.77143	−	0.410168i	−0.124884	−	0.0135820i
$913$	−30.4157	−	14.0718i	−1.00661	−	0.465708i
$914$	−19.7304	+	14.9986i	−0.652623	+	0.496111i
$915$	6.71854	−	5.10730i	0.222108	−	0.168842i
$916$	0.242256	+	0.112079i	0.00800436	+	0.00370321i
$917$	−17.4625	−	1.89916i	−0.576662	−	0.0627158i
$918$	−0.0745183	+	1.37441i	−0.00245947	+	0.0453623i
$919$	−0.206786	−	3.81394i	−0.00682124	−	0.125810i	−0.999961	−	0.00887383i	$-0.997175\pi$
$919$	−0.206786	−	3.81394i	−0.00682124	−	0.125810i	0.993139	−	0.116937i	$-0.0373074\pi$
$920$	11.6630	−	1.26843i	0.384518	−	0.0418189i
$921$	−16.0250	−	5.39946i	−0.528043	−	0.177918i
$922$	−2.86288	−	7.18528i	−0.0942839	−	0.236635i
$923$	2.49897	+	0.550064i	0.0822545	+	0.0181056i
$924$	−2.72732	+	5.14426i	−0.0897221	+	0.169234i
$925$	−0.144673	+	0.0669328i	−0.00475682	+	0.00220074i
$926$	28.5938	−	9.63437i	0.939650	−	0.316605i
$927$	1.83689	+	2.16255i	0.0603312	+	0.0710274i
$928$	−3.98640	+	2.39854i	−0.130860	+	0.0787359i
$929$	−12.1260	+	43.6740i	−0.397842	+	1.43290i	0.445385	+	0.895339i	$0.353067\pi$
$929$	−12.1260	+	43.6740i	−0.397842	+	1.43290i	−0.843227	+	0.537557i	$0.819347\pi$
$930$	−2.58760	+	0.569573i	−0.0848506	+	0.0186770i
$931$	−3.05644	−	4.50791i	−0.100171	−	0.147741i
$932$	9.23823	−	8.75091i	0.302608	−	0.286646i
$933$	−11.7752	−	7.08488i	−0.385502	−	0.231949i
$934$	4.57702	+	27.9186i	0.149765	+	0.913523i
$935$	3.65373	−	5.38885i	0.119490	−	0.176234i
$936$	−0.0882653	+	0.221529i	−0.00288504	+	0.00724090i
$937$	26.1569	−	30.7943i	0.854510	−	1.00601i	−0.145351	−	0.989380i	$-0.546431\pi$
$937$	26.1569	−	30.7943i	0.854510	−	1.00601i	0.999862	−	0.0166272i	$-0.00529285\pi$
$938$	−0.742593	+	4.52962i	−0.0242465	+	0.147897i
$939$	−17.6384	−	16.7080i	−0.575607	−	0.545244i
$940$	−4.66842	−	16.8141i	−0.152267	−	0.548417i
$941$	−10.4747	−	19.7574i	−0.341466	−	0.644074i	0.651998	−	0.758221i	$-0.273931\pi$
$941$	−10.4747	−	19.7574i	−0.341466	−	0.644074i	−0.993464	+	0.114147i	$0.963586\pi$
$942$	9.99032	+	7.59444i	0.325502	+	0.247440i
$943$	4.40392			0.143411
$944$	5.09549	+	5.74769i	0.165844	+	0.187072i
$945$	−4.52042			−0.147049
$946$	0.0178440	+	0.0135646i	0.000580158	+	0.000441024i
$947$	21.0876	+	39.7754i	0.685254	+	1.29253i	0.945070	+	0.326868i	$0.105993\pi$
$947$	21.0876	+	39.7754i	0.685254	+	1.29253i	−0.259816	+	0.965658i	$0.583662\pi$
$948$	−4.29002	−	15.4513i	−0.139333	−	0.501833i
$949$	0.445633	+	0.422126i	0.0144659	+	0.0137028i
$950$	0.814845	−	4.97034i	0.0264371	−	0.161259i
$951$	−18.7615	+	22.0877i	−0.608382	+	0.716243i
$952$	−1.20178	+	3.01624i	−0.0389499	+	0.0977568i
$953$	19.2330	−	28.3666i	0.623018	−	0.918883i	−0.376955	−	0.926232i	$-0.623029\pi$
$953$	19.2330	−	28.3666i	0.623018	−	0.918883i	0.999973	+	0.00734839i	$0.00233909\pi$
$954$	0.243356	+	1.48441i	0.00787894	+	0.0480594i
$955$	−12.9059	−	7.76520i	−0.417624	−	0.251276i
$956$	−13.9753	+	13.2382i	−0.451995	+	0.428152i
$957$	−6.44442	−	9.50481i	−0.208319	−	0.307247i
$958$	−1.16387	+	0.256186i	−0.0376028	+	0.00827700i
$959$	−10.7161	+	38.5959i	−0.346041	+	1.24633i
$960$	1.64203	−	0.987974i	0.0529962	−	0.0318867i
$961$	−18.8314	−	22.1701i	−0.607465	−	0.715164i
$962$	−0.0271328	+	0.00914210i	−0.000874796	+	0.000294753i
$963$	3.50683	−	1.62243i	0.113006	−	0.0522821i
$964$	0.487250	−	0.919051i	0.0156933	−	0.0296006i
$965$	28.3434	+	6.23886i	0.912408	+	0.200836i
$966$	−5.34520	−	13.4154i	−0.171979	−	0.431634i
$967$	−19.3323	−	6.51381i	−0.621684	−	0.209470i	−0.00920656	−	0.999958i	$-0.502931\pi$
$967$	−19.3323	−	6.51381i	−0.621684	−	0.209470i	−0.612478	+	0.790488i	$0.709827\pi$
$968$	−4.87857	+	0.530577i	−0.156803	+	0.0170534i
$969$	−0.282698	−	5.21405i	−0.00908156	−	0.167499i
$970$	−1.15447	+	21.2930i	−0.0370678	+	0.683676i
$971$	−33.6727	−	3.66212i	−1.08061	−	0.117523i	−0.449547	−	0.893257i	$-0.648414\pi$
$971$	−33.6727	−	3.66212i	−1.08061	−	0.117523i	−0.631060	+	0.775734i	$0.717380\pi$
$972$	−0.907575	−	0.419889i	−0.0291105	−	0.0134679i
$973$	−41.8407	+	31.8065i	−1.34135	+	1.01967i
$974$	0.219733	−	0.167037i	0.00704071	−	0.00535221i
$975$	−0.287339	−	0.132937i	−0.00920221	−	0.00425740i
$976$	4.37811	+	0.476148i	0.140140	+	0.0152411i
$977$	−2.58885	+	47.7485i	−0.0828245	+	1.52761i	0.601761	+	0.798676i	$0.294466\pi$
$977$	−2.58885	+	47.7485i	−0.0828245	+	1.52761i	−0.684585	+	0.728933i	$0.740017\pi$
$978$	−1.21213	−	22.3564i	−0.0387595	−	0.714878i
$979$	−0.364263	+	0.0396160i	−0.0116419	+	0.00126613i
$980$	2.60717	+	0.878459i	0.0832831	+	0.0280613i
$981$	−1.17893	−	2.95889i	−0.0376403	−	0.0944701i
$982$	31.4133	+	6.91459i	1.00244	+	0.220653i
$983$	6.84751	−	12.9158i	0.218402	−	0.411949i	−0.749966	−	0.661476i	$-0.769930\pi$
$983$	6.84751	−	12.9158i	0.218402	−	0.411949i	0.968368	+	0.249527i	$0.0802751\pi$
$984$	0.652874	−	0.302052i	0.0208129	−	0.00962906i
$985$	−31.6666	+	10.6697i	−1.00898	+	0.339965i
$986$	−4.14562	−	4.88061i	−0.132024	−	0.155430i
$987$	−18.4054	+	11.0741i	−0.585849	+	0.352494i
$988$	0.242022	−	0.871685i	0.00769975	−	0.0277320i
$989$	−0.0542929	+	0.0119508i	−0.00172641	+	0.000380012i
$990$	2.65450	+	3.91510i	0.0843656	+	0.124430i
$991$	32.1851	−	30.4874i	1.02239	−	0.968463i	0.0228829	−	0.999738i	$-0.492716\pi$
$991$	32.1851	−	30.4874i	1.02239	−	0.968463i	0.999511	+	0.0312754i	$0.00995690\pi$
$992$	−1.18470	−	0.712809i	−0.0376142	−	0.0226317i
$993$	−3.19389	−	19.4819i	−0.101355	−	0.618238i
$994$	−14.2044	+	20.9499i	−0.450537	+	0.664492i
$995$	−6.43768	+	16.1574i	−0.204088	+	0.512223i
$996$	8.78971	−	10.3480i	0.278513	−	0.327890i
$997$	−1.31706	+	8.03371i	−0.0417117	+	0.254430i	−0.999448	−	0.0332170i	$-0.989425\pi$
$997$	−1.31706	+	8.03371i	−0.0417117	+	0.254430i	0.957736	+	0.287647i	$0.0928730\pi$
$998$	28.0642	+	26.5838i	0.888357	+	0.841497i
$999$	−0.0321210	−	0.115689i	−0.00101626	−	0.00366025i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.b.25.1	✓	56
59.26	even	29	inner	354.2.e.b.85.1	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.b.25.1	✓	56	1.1	even	1	trivial
354.2.e.b.85.1	yes	56	59.26	even	29	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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.796093 - 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-1.39125 - 1.31786i) q^{5} +(-0.161782 + 0.986827i) q^{6} +(1.52711 - 1.79785i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +O(q^{10})\)	\(q+(-0.796093 - 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-1.39125 - 1.31786i) q^{5} +(-0.161782 + 0.986827i) q^{6} +(1.52711 - 1.79785i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +(0.310029 + 1.89109i) q^{10} +(-2.11501 - 1.27256i) q^{11} +(0.725995 - 0.687699i) q^{12} +(0.133824 + 0.197375i) q^{13} +(-2.30374 + 0.507091i) q^{14} +(-0.512674 + 1.84649i) q^{15} +(-0.856857 + 0.515554i) q^{16} +(-0.891081 - 1.04906i) q^{17} +(0.947653 - 0.319302i) q^{18} +(-3.44304 + 1.59292i) q^{19} +(0.897628 - 1.69311i) q^{20} +(-2.30374 - 0.507091i) q^{21} +(0.913624 + 2.29302i) q^{22} +(-5.80152 - 1.95476i) q^{23} +(-0.994138 + 0.108119i) q^{24} +(-0.0718779 - 1.32571i) q^{25} +(0.0129103 - 0.238116i) q^{26} +(0.994138 + 0.108119i) q^{27} +(2.14087 + 0.990471i) q^{28} +(-3.70371 + 2.81549i) q^{29} +(1.52558 - 1.15972i) q^{30} +(-1.25482 - 0.580542i) q^{31} +(0.994138 + 0.108119i) q^{32} +(-0.133633 + 2.46471i) q^{33} +(0.0745183 + 1.37441i) q^{34} +(-4.49392 + 0.488743i) q^{35} +(-0.947653 - 0.319302i) q^{36} +(-0.0444409 - 0.111538i) q^{37} +(3.70497 + 0.815526i) q^{38} +(0.111699 - 0.210687i) q^{39} +(-1.73922 + 0.804649i) q^{40} +(-0.681705 + 0.229693i) q^{41} +(1.52711 + 1.79785i) q^{42} +(0.00778095 - 0.00468164i) q^{43} +(0.660349 - 2.37836i) q^{44} +(1.87153 - 0.411956i) q^{45} +(3.43558 + 5.06710i) q^{46} +(6.61093 - 6.26221i) q^{47} +(0.856857 + 0.515554i) q^{48} +(0.232262 + 1.41674i) q^{49} +(-0.745064 + 1.09889i) q^{50} +(-0.509469 + 1.27867i) q^{51} +(-0.154379 + 0.181750i) q^{52} +(-0.243356 + 1.48441i) q^{53} +(-0.725995 - 0.687699i) q^{54} +(1.26545 + 4.55774i) q^{55} +(-1.10492 - 2.08411i) q^{56} +(3.02011 + 2.29583i) q^{57} +4.65235 q^{58} +(-1.40286 - 7.55195i) q^{59} -1.91634 q^{60} +(-3.50593 - 2.66514i) q^{61} +(0.647625 + 1.22155i) q^{62} +(0.631069 + 2.27291i) q^{63} +(-0.725995 - 0.687699i) q^{64} +(0.0739312 - 0.450960i) q^{65} +(1.59796 - 1.88127i) q^{66} +(0.720240 - 1.80767i) q^{67} +(0.772434 - 1.13925i) q^{68} +(0.990428 + 6.04134i) q^{69} +(3.87335 + 2.33052i) q^{70} +(7.79009 - 7.37916i) q^{71} +(0.561187 + 0.827689i) q^{72} +(2.51388 - 0.553346i) q^{73} +(-0.0321210 + 0.115689i) q^{74} +(-1.13761 + 0.684479i) q^{75} +(-2.45597 - 2.89139i) q^{76} +(-5.51773 + 1.85914i) q^{77} +(-0.216426 + 0.100129i) q^{78} +(7.51128 - 14.1678i) q^{79} +(1.87153 + 0.411956i) q^{80} +(-0.370138 - 0.928977i) q^{81} +(0.681705 + 0.229693i) q^{82} +(13.4976 - 1.46796i) q^{83} +(-0.127708 - 2.35543i) q^{84} +(-0.142802 + 2.63383i) q^{85} +(-0.00902757 - 0.000981808i) q^{86} +(4.22236 + 1.95347i) q^{87} +(-1.96502 + 1.49377i) q^{88} +(0.118176 - 0.0898349i) q^{89} +(-1.73922 - 0.804649i) q^{90} +(0.559216 + 0.0608184i) q^{91} +(0.331438 - 6.11301i) q^{92} +(0.0748529 + 1.38058i) q^{93} +(-9.05264 + 0.984534i) q^{94} +(6.88938 + 2.32130i) q^{95} +(-0.370138 - 0.928977i) q^{96} +(10.8674 + 2.39211i) q^{97} +(0.672471 - 1.26841i) q^{98} +(2.24020 - 1.03643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9} + 2 q^{10} + 30 q^{11} + 2 q^{12} + 5 q^{13} + 28 q^{14} + 2 q^{15} - 2 q^{16} - 3 q^{17} + 2 q^{18} - 4 q^{19} - 2 q^{20} + 28 q^{21} - q^{22} - 2 q^{23} - 2 q^{24} + 64 q^{25} - 34 q^{26} + 2 q^{27} + q^{28} + 8 q^{29} - 2 q^{30} + 2 q^{32} - q^{33} + 32 q^{34} - 87 q^{35} - 2 q^{36} + 47 q^{37} + 4 q^{38} - 5 q^{39} + 2 q^{40} + 3 q^{41} + q^{42} - 61 q^{43} + q^{44} - 2 q^{45} - 27 q^{46} + 50 q^{47} + 2 q^{48} - 45 q^{49} - 6 q^{50} + 3 q^{51} - 24 q^{52} - 27 q^{53} - 2 q^{54} - 95 q^{55} - q^{56} + 4 q^{57} + 50 q^{58} - 58 q^{59} + 2 q^{60} - 74 q^{61} - 29 q^{62} + q^{63} - 2 q^{64} - 17 q^{65} + q^{66} + 4 q^{67} - 32 q^{68} + 31 q^{69} - 58 q^{70} - 47 q^{71} + 2 q^{72} + 43 q^{73} - 18 q^{74} - 6 q^{75} - 33 q^{76} - 5 q^{77} + 5 q^{78} + 19 q^{79} - 2 q^{80} - 2 q^{81} - 3 q^{82} + 47 q^{83} - q^{84} - 149 q^{85} - 55 q^{86} + 21 q^{87} + 28 q^{88} + 36 q^{89} + 2 q^{90} + 175 q^{91} - 2 q^{92} - 29 q^{93} - 21 q^{94} + 50 q^{95} - 2 q^{96} + 10 q^{97} - 13 q^{98} + q^{99}+O(q^{100}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9 + 2 * q^10 + 30 * q^11 + 2 * q^12 + 5 * q^13 + 28 * q^14 + 2 * q^15 - 2 * q^16 - 3 * q^17 + 2 * q^18 - 4 * q^19 - 2 * q^20 + 28 * q^21 - q^22 - 2 * q^23 - 2 * q^24 + 64 * q^25 - 34 * q^26 + 2 * q^27 + q^28 + 8 * q^29 - 2 * q^30 + 2 * q^32 - q^33 + 32 * q^34 - 87 * q^35 - 2 * q^36 + 47 * q^37 + 4 * q^38 - 5 * q^39 + 2 * q^40 + 3 * q^41 + q^42 - 61 * q^43 + q^44 - 2 * q^45 - 27 * q^46 + 50 * q^47 + 2 * q^48 - 45 * q^49 - 6 * q^50 + 3 * q^51 - 24 * q^52 - 27 * q^53 - 2 * q^54 - 95 * q^55 - q^56 + 4 * q^57 + 50 * q^58 - 58 * q^59 + 2 * q^60 - 74 * q^61 - 29 * q^62 + q^63 - 2 * q^64 - 17 * q^65 + q^66 + 4 * q^67 - 32 * q^68 + 31 * q^69 - 58 * q^70 - 47 * q^71 + 2 * q^72 + 43 * q^73 - 18 * q^74 - 6 * q^75 - 33 * q^76 - 5 * q^77 + 5 * q^78 + 19 * q^79 - 2 * q^80 - 2 * q^81 - 3 * q^82 + 47 * q^83 - q^84 - 149 * q^85 - 55 * q^86 + 21 * q^87 + 28 * q^88 + 36 * q^89 + 2 * q^90 + 175 * q^91 - 2 * q^92 - 29 * q^93 - 21 * q^94 + 50 * q^95 - 2 * q^96 + 10 * q^97 - 13 * q^98 + q^99

Introduction

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