LMFDB - Embedded newform 462.2.bc.b.95.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(95,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 20, 21]))

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

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

chi := DirichletCharacter("462.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.bc (of order $30$, degree $8$, 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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			95.9
Character	$\chi$	$=$	462.95
Dual form			462.2.bc.b.107.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.104528 + 0.994522i) q^{2} +(0.257732 + 1.71277i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.789465 + 1.77317i) q^{5} +(-1.73033 + 0.0772875i) q^{6} +(-2.28945 + 1.32606i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86715 + 0.882871i) q^{9} +O(q^{10})$	\(q+(-0.104528 + 0.994522i) q^{2} +(0.257732 + 1.71277i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.789465 + 1.77317i) q^{5} +(-1.73033 + 0.0772875i) q^{6} +(-2.28945 + 1.32606i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86715 + 0.882871i) q^{9} +(-1.68093 - 0.970486i) q^{10} +(-3.21976 - 0.795724i) q^{11} +(0.104004 - 1.72893i) q^{12} +(3.98429 - 5.48391i) q^{13} +(-1.07948 - 2.41552i) q^{14} +(-3.24049 - 0.895167i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.459224 + 4.36922i) q^{17} +(-0.578336 - 2.94373i) q^{18} +(-0.0977002 - 0.459644i) q^{19} +(1.14088 - 1.57028i) q^{20} +(-2.86129 - 3.57953i) q^{21} +(1.12792 - 3.11894i) q^{22} +(0.703593 - 0.406219i) q^{23} +(1.70858 + 0.284156i) q^{24} +(0.824787 + 0.916019i) q^{25} +(5.03740 + 4.53569i) q^{26} +(-2.25111 - 4.68321i) q^{27} +(2.51512 - 0.821074i) q^{28} +(0.927952 + 2.85594i) q^{29} +(1.22899 - 3.12917i) q^{30} +(-7.66426 + 3.41235i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.533055 - 5.71978i) q^{33} -4.39329 q^{34} +(-0.543877 - 5.10645i) q^{35} +(2.98805 - 0.267465i) q^{36} +(-6.60480 + 7.33538i) q^{37} +(0.467338 - 0.0491192i) q^{38} +(10.4195 + 5.41079i) q^{39} +(1.44242 + 1.29876i) q^{40} +(-1.04648 + 3.22072i) q^{41} +(3.85901 - 2.47145i) q^{42} +3.53953i q^{43} +(2.98396 + 1.44776i) q^{44} +(0.698034 - 5.78093i) q^{45} +(0.330449 + 0.742200i) q^{46} +(-1.94130 - 9.13311i) q^{47} +(-0.461195 + 1.66952i) q^{48} +(3.48316 - 6.07187i) q^{49} +(-0.997214 + 0.724519i) q^{50} +(-7.36511 + 1.91263i) q^{51} +(-5.03740 + 4.53569i) q^{52} +(-1.70355 - 3.82624i) q^{53} +(4.89286 - 1.74925i) q^{54} +(3.95283 - 5.08097i) q^{55} +(0.553675 + 2.58717i) q^{56} +(0.762082 - 0.285803i) q^{57} +(-2.93730 + 0.624341i) q^{58} +(0.627177 - 2.95064i) q^{59} +(2.98357 + 1.54934i) q^{60} +(-2.08111 + 4.67425i) q^{61} +(-2.59252 - 7.97896i) q^{62} +(5.39345 - 5.82329i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(6.57843 + 11.3942i) q^{65} +(5.63272 + 1.12801i) q^{66} +(-1.96138 + 3.39722i) q^{67} +(0.459224 - 4.36922i) q^{68} +(0.877098 + 1.10040i) q^{69} +(5.13533 - 0.00712871i) q^{70} +(8.37299 + 11.5244i) q^{71} +(-0.0463369 + 2.99964i) q^{72} +(-1.63635 + 7.69840i) q^{73} +(-6.60480 - 7.33538i) q^{74} +(-1.35635 + 1.64876i) q^{75} +0.469912i q^{76} +(8.42664 - 2.44780i) q^{77} +(-6.47029 + 9.79688i) q^{78} +(-7.45986 - 0.784063i) q^{79} +(-1.44242 + 1.29876i) q^{80} +(7.44108 - 5.06265i) q^{81} +(-3.09369 - 1.37740i) q^{82} +(-4.29547 + 3.12084i) q^{83} +(2.05454 + 4.09620i) q^{84} +(-8.10990 - 2.63507i) q^{85} +(-3.52014 - 0.369981i) q^{86} +(-4.65240 + 2.32544i) q^{87} +(-1.75174 + 2.81628i) q^{88} +(-11.9538 + 6.90154i) q^{89} +(5.67629 + 1.29848i) q^{90} +(-1.84987 + 17.8385i) q^{91} +(-0.772675 + 0.251057i) q^{92} +(-7.81989 - 12.2476i) q^{93} +(9.28600 - 0.975997i) q^{94} +(0.892156 + 0.189634i) q^{95} +(-1.61217 - 0.633181i) q^{96} +(1.56218 + 1.13499i) q^{97} +(5.67452 + 4.09876i) q^{98} +(9.93404 - 0.561173i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$3$	0.257732	+	1.71277i	0.148802	+	0.988867i
$3$	0.257732	+	1.71277i	0.148802	+	0.988867i
$4$	−0.978148	−	0.207912i	−0.489074	−	0.103956i
$5$	−0.789465	+	1.77317i	−0.353059	+	0.792984i	0.646489	+	0.762924i	$0.276237\pi$
$5$	−0.789465	+	1.77317i	−0.353059	+	0.792984i	−0.999548	+	0.0300608i	$0.990430\pi$
$6$	−1.73033	+	0.0772875i	−0.706402	+	0.0315525i
$7$	−2.28945	+	1.32606i	−0.865330	+	0.501202i
$7$	−2.28945	+	1.32606i	−0.865330	+	0.501202i
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−2.86715	+	0.882871i	−0.955716	+	0.294290i
$10$	−1.68093	−	0.970486i	−0.531557	−	0.306895i
$11$	−3.21976	−	0.795724i	−0.970793	−	0.239920i
$11$	−3.21976	−	0.795724i	−0.970793	−	0.239920i
$12$	0.104004	−	1.72893i	0.0300234	−	0.499098i
$13$	3.98429	−	5.48391i	1.10504	−	1.52096i	0.276521	−	0.961008i	$-0.410819\pi$
$13$	3.98429	−	5.48391i	1.10504	−	1.52096i	0.828523	−	0.559955i	$-0.189181\pi$
$14$	−1.07948	−	2.41552i	−0.288503	−	0.645574i
$15$	−3.24049	−	0.895167i	−0.836692	−	0.231131i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	0.459224	+	4.36922i	0.111378	+	1.05969i	0.897317	+	0.441387i	$0.145514\pi$
$17$	0.459224	+	4.36922i	0.111378	+	1.05969i	−0.785939	+	0.618305i	$0.787820\pi$
$18$	−0.578336	−	2.94373i	−0.136315	−	0.693843i
$19$	−0.0977002	−	0.459644i	−0.0224140	−	0.105449i	0.965519	−	0.260334i	$-0.0838327\pi$
$19$	−0.0977002	−	0.459644i	−0.0224140	−	0.105449i	−0.987933	+	0.154885i	$0.950499\pi$
$20$	1.14088	−	1.57028i	0.255107	−	0.351125i
$21$	−2.86129	−	3.57953i	−0.624385	−	0.781117i
$22$	1.12792	−	3.11894i	0.240473	−	0.664961i
$23$	0.703593	−	0.406219i	0.146709	−	0.0847026i	−0.424849	−	0.905264i	$-0.639673\pi$
$23$	0.703593	−	0.406219i	0.146709	−	0.0847026i	0.571558	+	0.820562i	$0.306339\pi$
$24$	1.70858	+	0.284156i	0.348763	+	0.0580032i
$25$	0.824787	+	0.916019i	0.164957	+	0.183204i
$26$	5.03740	+	4.53569i	0.987914	+	0.889522i
$27$	−2.25111	−	4.68321i	−0.433226	−	0.901285i
$28$	2.51512	−	0.821074i	0.475313	−	0.155168i
$29$	0.927952	+	2.85594i	0.172316	+	0.530335i	0.999501	−	0.0315953i	$-0.0100588\pi$
$29$	0.927952	+	2.85594i	0.172316	+	0.530335i	−0.827184	+	0.561931i	$0.810059\pi$
$30$	1.22899	−	3.12917i	0.224381	−	0.571306i
$31$	−7.66426	+	3.41235i	−1.37654	+	0.612876i	−0.955723	−	0.294269i	$-0.904924\pi$
$31$	−7.66426	+	3.41235i	−1.37654	+	0.612876i	−0.420819	+	0.907145i	$0.638257\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	0.533055	−	5.71978i	0.0927929	−	0.995685i
$34$	−4.39329			−0.753443
$35$	−0.543877	−	5.10645i	−0.0919321	−	0.863147i
$36$	2.98805	−	0.267465i	0.498009	−	0.0445775i
$37$	−6.60480	+	7.33538i	−1.08582	+	1.20593i	−0.108517	+	0.994095i	$0.534610\pi$
$37$	−6.60480	+	7.33538i	−1.08582	+	1.20593i	−0.977306	+	0.211834i	$0.932056\pi$
$38$	0.467338	−	0.0491192i	0.0758122	−	0.00796819i
$39$	10.4195	+	5.41079i	1.66846	+	0.866420i
$40$	1.44242	+	1.29876i	0.228067	+	0.205353i
$41$	−1.04648	+	3.22072i	−0.163432	+	0.502993i	−0.998917	−	0.0465204i	$-0.985187\pi$
$41$	−1.04648	+	3.22072i	−0.163432	+	0.502993i	0.835485	+	0.549513i	$0.185187\pi$
$42$	3.85901	−	2.47145i	0.595457	−	0.381353i
$43$			3.53953i			0.539773i	0.962892	+	0.269886i	$0.0869862\pi$
$43$			3.53953i			0.539773i	−0.962892	+	0.269886i	$0.913014\pi$
$44$	2.98396	+	1.44776i	0.449848	+	0.218258i
$45$	0.698034	−	5.78093i	0.104057	−	0.861770i
$46$	0.330449	+	0.742200i	0.0487220	+	0.109431i
$47$	−1.94130	−	9.13311i	−0.283168	−	1.33220i	−0.857882	−	0.513846i	$-0.828220\pi$
$47$	−1.94130	−	9.13311i	−0.283168	−	1.33220i	0.574714	−	0.818354i	$-0.305113\pi$
$48$	−0.461195	+	1.66952i	−0.0665678	+	0.240975i
$49$	3.48316	−	6.07187i	0.497594	−	0.867410i
$50$	−0.997214	+	0.724519i	−0.141027	+	0.102462i
$51$	−7.36511	+	1.91263i	−1.03132	+	0.267822i
$52$	−5.03740	+	4.53569i	−0.698561	+	0.628987i
$53$	−1.70355	−	3.82624i	−0.234001	−	0.525575i	0.757933	−	0.652333i	$-0.226210\pi$
$53$	−1.70355	−	3.82624i	−0.234001	−	0.525575i	−0.991934	+	0.126758i	$0.959543\pi$
$54$	4.89286	−	1.74925i	0.665835	−	0.238043i
$55$	3.95283	−	5.08097i	0.533000	−	0.685118i
$56$	0.553675	+	2.58717i	0.0739879	+	0.345725i
$57$	0.762082	−	0.285803i	0.100940	−	0.0378555i
$58$	−2.93730	+	0.624341i	−0.385686	+	0.0819800i
$59$	0.627177	−	2.95064i	0.0816515	−	0.384140i	−0.918279	−	0.395934i	$-0.870421\pi$
$59$	0.627177	−	2.95064i	0.0816515	−	0.384140i	0.999930	+	0.0117940i	$0.00375422\pi$
$60$	2.98357	+	1.54934i	0.385177	+	0.200019i
$61$	−2.08111	+	4.67425i	−0.266459	+	0.598476i	−0.996376	−	0.0850593i	$-0.972892\pi$
$61$	−2.08111	+	4.67425i	−0.266459	+	0.598476i	0.729917	+	0.683536i	$0.239559\pi$
$62$	−2.59252	−	7.97896i	−0.329251	−	1.01333i
$63$	5.39345	−	5.82329i	0.679511	−	0.733665i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	6.57843	+	11.3942i	0.815953	+	1.41327i
$66$	5.63272	+	1.12801i	0.693340	+	0.138849i
$67$	−1.96138	+	3.39722i	−0.239621	+	0.415036i	−0.960606	−	0.277915i	$-0.910357\pi$
$67$	−1.96138	+	3.39722i	−0.239621	+	0.415036i	0.720984	+	0.692951i	$0.243690\pi$
$68$	0.459224	−	4.36922i	0.0556891	−	0.529846i
$69$	0.877098	+	1.10040i	0.105590	+	0.132472i
$70$	5.13533	−	0.00712871i	0.613789	−	0.000852044i
$71$	8.37299	+	11.5244i	0.993691	+	1.36770i	0.929117	+	0.369786i	$0.120569\pi$
$71$	8.37299	+	11.5244i	0.993691	+	1.36770i	0.0645741	+	0.997913i	$0.479431\pi$
$72$	−0.0463369	+	2.99964i	−0.00546085	+	0.353511i
$73$	−1.63635	+	7.69840i	−0.191520	+	0.901030i	0.772462	+	0.635061i	$0.219025\pi$
$73$	−1.63635	+	7.69840i	−0.191520	+	0.901030i	−0.963982	+	0.265969i	$0.914308\pi$
$74$	−6.60480	−	7.33538i	−0.767793	−	0.852720i
$75$	−1.35635	+	1.64876i	−0.156618	+	0.190382i
$76$			0.469912i			0.0539026i
$77$	8.42664	−	2.44780i	0.960305	−	0.278953i
$78$	−6.47029	+	9.79688i	−0.732616	+	1.10928i
$79$	−7.45986	−	0.784063i	−0.839300	−	0.0882140i	−0.324883	−	0.945754i	$-0.605325\pi$
$79$	−7.45986	−	0.784063i	−0.839300	−	0.0882140i	−0.514417	+	0.857540i	$0.671992\pi$
$80$	−1.44242	+	1.29876i	−0.161268	+	0.145206i
$81$	7.44108	−	5.06265i	0.826786	−	0.562516i
$82$	−3.09369	−	1.37740i	−0.341641	−	0.152109i
$83$	−4.29547	+	3.12084i	−0.471489	+	0.342557i	−0.798021	−	0.602629i	$-0.794120\pi$
$83$	−4.29547	+	3.12084i	−0.471489	+	0.342557i	0.326532	+	0.945186i	$0.394120\pi$
$84$	2.05454	+	4.09620i	0.224168	+	0.446932i
$85$	−8.10990	−	2.63507i	−0.879642	−	0.285813i
$86$	−3.52014	−	0.369981i	−0.379586	−	0.0398961i
$87$	−4.65240	+	2.32544i	−0.498790	+	0.249313i
$88$	−1.75174	+	2.81628i	−0.186736	+	0.300216i
$89$	−11.9538	+	6.90154i	−1.26710	+	0.731561i	−0.974439	−	0.224654i	$-0.927875\pi$
$89$	−11.9538	+	6.90154i	−1.26710	+	0.731561i	−0.292663	+	0.956216i	$0.594541\pi$
$90$	5.67629	+	1.29848i	0.598334	+	0.136872i
$91$	−1.84987	+	17.8385i	−0.193919	+	1.86999i
$92$	−0.772675	+	0.251057i	−0.0805570	+	0.0261745i
$93$	−7.81989	−	12.2476i	−0.810885	−	1.27002i
$94$	9.28600	−	0.975997i	0.957777	−	0.100666i
$95$	0.892156	+	0.189634i	0.0915332	+	0.0194560i
$96$	−1.61217	−	0.633181i	−0.164541	−	0.0646238i
$97$	1.56218	+	1.13499i	0.158616	+	0.115241i	0.664262	−	0.747500i	$-0.268746\pi$
$97$	1.56218	+	1.13499i	0.158616	+	0.115241i	−0.505646	+	0.862741i	$0.668746\pi$
$98$	5.67452	+	4.09876i	0.573213	+	0.414037i
$99$	9.93404	−	0.561173i	0.998408	−	0.0564000i
$100$	−0.616312	−	1.06748i	−0.0616312	−	0.106748i
$101$	12.5476	−	5.58653i	1.24853	−	0.555881i	0.327307	−	0.944918i	$-0.393859\pi$
$101$	12.5476	−	5.58653i	1.24853	−	0.555881i	0.921222	+	0.389037i	$0.127192\pi$
$102$	−1.13229	−	7.52468i	−0.112114	−	0.745055i
$103$	1.37384	−	1.52581i	0.135369	−	0.150342i	−0.671649	−	0.740870i	$-0.734414\pi$
$103$	1.37384	−	1.52581i	0.135369	−	0.150342i	0.807018	+	0.590527i	$0.201080\pi$
$104$	−3.98429	−	5.48391i	−0.390692	−	0.537741i
$105$	8.60599	−	2.24763i	0.839858	−	0.219347i
$106$	3.98335	−	1.29427i	0.386897	−	0.125711i
$107$	−1.30137	+	0.276615i	−0.125808	+	0.0267414i	−0.270386	−	0.962752i	$-0.587151\pi$
$107$	−1.30137	+	0.276615i	−0.125808	+	0.0267414i	0.144577	+	0.989494i	$0.453818\pi$
$108$	1.22822	+	5.04891i	0.118186	+	0.485831i
$109$	15.4198	+	8.90263i	1.47695	+	0.852717i	0.999661	−	0.0260299i	$-0.00828652\pi$
$109$	15.4198	+	8.90263i	1.47695	+	0.852717i	0.477288	+	0.878747i	$0.341620\pi$
$110$	4.63995	+	4.46229i	0.442402	+	0.425462i
$111$	−14.2661	−	9.42193i	−1.35408	−	0.894290i
$112$	−2.63087	+	0.280209i	−0.248594	+	0.0264772i
$113$	−0.887889	−	0.288493i	−0.0835256	−	0.0271391i	0.266956	−	0.963709i	$-0.413982\pi$
$113$	−0.887889	−	0.288493i	−0.0835256	−	0.0271391i	−0.350482	+	0.936570i	$0.613982\pi$
$114$	0.204578	+	0.787782i	0.0191605	+	0.0737825i
$115$	0.164833	+	1.56828i	0.0153708	+	0.146243i
$116$	−0.313890	−	2.98647i	−0.0291440	−	0.277286i
$117$	−6.58197	+	19.2408i	−0.608503	+	1.77881i
$118$	2.86891	+	0.932167i	0.264105	+	0.0858129i
$119$	−6.84520	−	9.39416i	−0.627498	−	0.861161i
$120$	−1.85272	+	2.80527i	−0.169130	+	0.256085i
$121$	9.73365	+	5.12407i	0.884877	+	0.465825i
$122$	−4.43111	−	2.55830i	−0.401174	−	0.231618i
$123$	−5.78607	−	0.962287i	−0.521712	−	0.0867665i
$124$	8.20625	−	1.74429i	0.736943	−	0.156642i
$125$	−11.5053	+	3.73829i	−1.02906	+	0.334363i
$126$	5.22762	+	5.97261i	0.465713	+	0.532082i
$127$	1.20848	+	1.66333i	0.107235	+	0.147596i	0.859262	−	0.511536i	$-0.170923\pi$
$127$	1.20848	+	1.66333i	0.107235	+	0.147596i	−0.752027	+	0.659133i	$0.770923\pi$
$128$	0.669131	−	0.743145i	0.0591433	−	0.0656853i
$129$	−6.06239	+	0.912251i	−0.533764	+	0.0803192i
$130$	−12.0194	+	5.35137i	−1.05417	+	0.469347i
$131$	3.07483	+	5.32575i	0.268649	+	0.465313i	0.968513	−	0.248962i	$-0.0800896\pi$
$131$	3.07483	+	5.32575i	0.268649	+	0.465313i	−0.699864	+	0.714276i	$0.746756\pi$
$132$	−1.71061	+	5.48396i	−0.148890	+	0.477317i
$133$	0.833192	+	0.922775i	0.0722469	+	0.0800147i
$134$	−3.17359	−	2.30575i	−0.274156	−	0.199186i
$135$	10.0813	−	0.294362i	0.867660	−	0.0253346i
$136$	4.29729	+	0.913416i	0.368489	+	0.0783248i
$137$	20.5401	−	2.15886i	1.75486	−	0.184443i	0.828224	−	0.560397i	$-0.189352\pi$
$137$	20.5401	−	2.15886i	1.75486	−	0.184443i	0.926638	+	0.375954i	$0.122685\pi$
$138$	−1.18605	+	0.757271i	−0.100963	+	0.0644632i
$139$	−3.63691	+	1.18170i	−0.308479	+	0.100231i	−0.459166	−	0.888351i	$-0.651852\pi$
$139$	−3.63691	+	1.18170i	−0.308479	+	0.100231i	0.150687	+	0.988582i	$0.451852\pi$
$140$	−0.529698	+	5.10794i	−0.0447677	+	0.431700i
$141$	15.1426	−	5.67890i	1.27523	−	0.478249i
$142$	−12.3365	+	7.12249i	−1.03526	+	0.597706i
$143$	−17.1921	+	14.4864i	−1.43768	+	1.21142i
$144$	−2.97837	−	0.359631i	−0.248197	−	0.0299693i
$145$	−5.79665	−	0.609252i	−0.481385	−	0.0505957i
$146$	−7.48518	−	2.43208i	−0.619478	−	0.201281i
$147$	11.2974	+	4.40092i	0.931796	+	0.362982i
$148$	7.98558	−	5.80186i	0.656411	−	0.476910i
$149$	17.7605	+	7.90749i	1.45500	+	0.647807i	0.973510	−	0.228645i	$-0.0734296\pi$
$149$	17.7605	+	7.90749i	1.45500	+	0.647807i	0.481489	+	0.876452i	$0.340096\pi$
$150$	−1.49795	−	1.52126i	−0.122307	−	0.124211i
$151$	1.55025	−	1.39585i	0.126157	−	0.113593i	−0.603637	−	0.797259i	$-0.706282\pi$
$151$	1.55025	−	1.39585i	0.126157	−	0.113593i	0.729795	+	0.683667i	$0.239616\pi$
$152$	−0.467338	−	0.0491192i	−0.0379061	−	0.00398409i
$153$	−5.17412	−	12.1218i	−0.418303	−	0.979987i
$154$	1.55357	+	8.63634i	0.125190	+	0.695936i
$155$		−	16.2839i		−	1.30796i
$156$	−9.06689	−	7.45889i	−0.725932	−	0.597190i
$157$	−0.121883	−	0.135364i	−0.00972730	−	0.0108033i	0.738262	−	0.674515i	$-0.235647\pi$
$157$	−0.121883	−	0.135364i	−0.00972730	−	0.0108033i	−0.747989	+	0.663711i	$0.768980\pi$
$158$	1.55954	−	7.33704i	0.124070	−	0.583703i
$159$	6.11441	−	3.90394i	0.484904	−	0.309602i
$160$	−1.14088	−	1.57028i	−0.0901941	−	0.124142i
$161$	−1.07217	+	1.86302i	−0.0844989	+	0.146827i
$162$	4.25711	+	7.92950i	0.334470	+	0.623001i
$163$	−2.21545	+	21.0786i	−0.173527	+	1.65100i	0.467874	+	0.883795i	$0.345020\pi$
$163$	−2.21545	+	21.0786i	−0.173527	+	1.65100i	−0.641401	+	0.767206i	$0.721646\pi$
$164$	1.69324	−	2.93277i	0.132219	−	0.229011i
$165$	9.72129	+	5.46076i	0.756802	+	0.425119i
$166$	−2.65475	−	4.59816i	−0.206048	−	0.356886i
$167$	3.26292	+	2.37065i	0.252492	+	0.183446i	0.706831	−	0.707383i	$-0.250124\pi$
$167$	3.26292	+	2.37065i	0.252492	+	0.183446i	−0.454338	+	0.890829i	$0.650124\pi$
$168$	−4.28852	+	1.61511i	−0.330867	+	0.124609i
$169$	−10.1814	−	31.3353i	−0.783188	−	2.41040i
$170$	3.46835	−	7.79003i	0.266010	−	0.597468i
$171$	0.685927	+	1.23161i	0.0524542	+	0.0941835i
$172$	0.735909	−	3.46218i	0.0561126	−	0.263989i
$173$	21.3520	−	4.53851i	1.62336	−	0.345056i	0.695658	−	0.718373i	$-0.255113\pi$
$173$	21.3520	−	4.53851i	1.62336	−	0.345056i	0.927704	+	0.373316i	$0.121779\pi$
$174$	−1.82639	−	4.86999i	−0.138458	−	0.369193i
$175$	−3.10300	−	1.00347i	−0.234565	−	0.0758549i
$176$	−2.61774	−	2.03652i	−0.197320	−	0.153509i
$177$	5.21540	+	0.313734i	0.392013	+	0.0235817i
$178$	−5.61422	−	12.6097i	−0.420803	−	0.945140i
$179$	2.15491	−	1.94029i	0.161066	−	0.145024i	−0.584657	−	0.811280i	$-0.698771\pi$
$179$	2.15491	−	1.94029i	0.161066	−	0.145024i	0.745723	+	0.666256i	$0.232104\pi$
$180$	−1.88470	+	5.50947i	−0.140477	+	0.410652i
$181$	10.1349	−	7.36341i	0.753319	−	0.547318i	−0.143535	−	0.989645i	$-0.545847\pi$
$181$	10.1349	−	7.36341i	0.753319	−	0.547318i	0.896854	+	0.442327i	$0.145847\pi$
$182$	−17.5474	−	3.70437i	−1.30070	−	0.274586i
$183$	−8.54228	−	2.35975i	−0.631463	−	0.174438i
$184$	−0.168916	−	0.794685i	−0.0124526	−	0.0585850i
$185$	−7.79259	−	17.5024i	−0.572922	−	1.28680i
$186$	12.9979	−	6.49683i	0.953055	−	0.476370i
$187$	1.99810	−	14.4332i	0.146116	−	1.05546i
$188$			9.33715i			0.680981i
$189$	11.3640	+	7.73689i	0.826610	+	0.562776i
$190$	−0.281850	+	0.867446i	−0.0204476	+	0.0629312i
$191$	−5.66614	−	5.10182i	−0.409988	−	0.369154i	0.438176	−	0.898889i	$-0.355625\pi$
$191$	−5.66614	−	5.10182i	−0.409988	−	0.369154i	−0.848163	+	0.529735i	$0.822291\pi$
$192$	0.798230	−	1.53715i	0.0576073	−	0.110934i
$193$	−15.2899	+	1.60703i	−1.10059	+	0.115677i	−0.637364	−	0.770563i	$-0.719975\pi$
$193$	−15.2899	+	1.60703i	−1.10059	+	0.115677i	−0.463227	+	0.886240i	$0.653308\pi$
$194$	−1.29207	+	1.43499i	−0.0927650	+	0.103026i
$195$	−17.8201	+	14.2040i	−1.27612	+	1.01717i
$196$	−4.66945	+	5.21500i	−0.333532	+	0.372500i
$197$	3.24755			0.231378			0.115689	−	0.993285i	$-0.463092\pi$
$197$	3.24755			0.231378			0.115689	+	0.993285i	$0.463092\pi$
$198$	−0.480291	+	9.93828i	−0.0341328	+	0.706282i
$199$	8.48092	−	14.6894i	0.601197	−	1.04130i	−0.391443	−	0.920202i	$-0.628024\pi$
$199$	8.48092	−	14.6894i	0.601197	−	1.04130i	0.992640	−	0.121101i	$-0.0386425\pi$
$200$	1.12606	−	0.501354i	0.0796244	−	0.0354511i
$201$	−6.32416	−	2.48382i	−0.446072	−	0.175195i
$202$	4.24435	+	13.0628i	0.298632	+	0.919093i
$203$	−5.91164	−	5.30802i	−0.414916	−	0.372550i
$204$	7.60182	−	0.339546i	0.532234	−	0.0237730i
$205$	−4.88473	−	4.39823i	−0.341164	−	0.307185i
$206$	1.37384	+	1.52581i	0.0957202	+	0.106308i
$207$	−1.65866	+	1.78587i	−0.115285	+	0.124127i
$208$	5.87034	−	3.38924i	0.407035	−	0.235002i
$209$	−0.0511783	+	1.55768i	−0.00354008	+	0.107747i
$210$	1.33575	+	8.79378i	0.0921755	+	0.606829i
$211$	−3.75889	+	5.17366i	−0.258772	+	0.356170i	−0.918559	−	0.395283i	$-0.870647\pi$
$211$	−3.75889	+	5.17366i	−0.258772	+	0.356170i	0.659787	+	0.751453i	$0.270647\pi$
$212$	0.870806	+	4.09682i	0.0598072	+	0.281371i
$213$	−17.5807	+	17.3112i	−1.20461	+	1.18614i
$214$	−0.139070	−	1.32316i	−0.00950660	−	0.0904492i
$215$	−6.27617	−	2.79433i	−0.428032	−	0.190572i
$216$	−5.14963	+	0.693741i	−0.350388	+	0.0472031i
$217$	13.0220	−	17.9756i	0.883989	−	1.22027i
$218$	−10.4657	+	14.4048i	−0.708824	+	0.975613i
$219$	−13.6073	−	0.818553i	−0.919497	−	0.0553127i
$220$	−4.92285	+	4.14810i	−0.331898	+	0.279665i
$221$	25.7901	+	14.8899i	1.73483	+	1.00160i
$222$	10.8615	−	13.2031i	0.728978	−	0.886131i
$223$	4.31263	−	13.2729i	0.288795	−	0.888819i	−0.696441	−	0.717614i	$-0.745234\pi$
$223$	4.31263	−	13.2729i	0.288795	−	0.888819i	0.985235	−	0.171205i	$-0.0547659\pi$
$224$	−0.00367275	−	2.64575i	−0.000245396	−	0.176777i
$225$	−3.17351	−	1.89818i	−0.211568	−	0.126545i
$226$	0.379722	−	0.852870i	0.0252587	−	0.0567321i
$227$	−9.83488	−	2.09047i	−0.652764	−	0.138749i	−0.130386	−	0.991463i	$-0.541622\pi$
$227$	−9.83488	−	2.09047i	−0.652764	−	0.138749i	−0.522378	+	0.852714i	$0.674955\pi$
$228$	−0.804851	+	0.121112i	−0.0533025	+	0.00802081i
$229$	1.89492	−	18.0289i	0.125220	−	1.19139i	−0.733772	−	0.679396i	$-0.762242\pi$
$229$	1.89492	−	18.0289i	0.125220	−	1.19139i	0.858992	−	0.511990i	$-0.171091\pi$
$230$	−1.57692			−0.103979
$231$	6.36434	+	13.8020i	0.418743	+	0.908105i
$232$	3.00292			0.197151
$233$	−0.194435	+	1.84993i	−0.0127379	+	0.121193i	−0.999043	−	0.0437378i	$-0.986073\pi$
$233$	−0.194435	+	1.84993i	−0.0127379	+	0.121193i	0.986305	+	0.164931i	$0.0527401\pi$
$234$	−18.4474	−	8.55713i	−1.20594	−	0.559397i
$235$	17.7271	+	3.76801i	1.15639	+	0.245798i
$236$	−1.22694	+	2.75576i	−0.0798672	+	0.179385i
$237$	−0.579729	−	12.9791i	−0.0376575	−	0.843082i
$238$	10.0582	−	5.82574i	0.651977	−	0.377627i
$239$	−0.620309	+	1.90911i	−0.0401245	+	0.123490i	−0.969112	−	0.246620i	$-0.920680\pi$
$239$	−0.620309	+	1.90911i	−0.0401245	+	0.123490i	0.928988	+	0.370110i	$0.120680\pi$
$240$	−2.59624	−	2.13580i	−0.167587	−	0.137866i
$241$	−10.2866	−	5.93894i	−0.662615	−	0.382561i	0.130658	−	0.991428i	$-0.458291\pi$
$241$	−10.2866	−	5.93894i	−0.662615	−	0.382561i	−0.793273	+	0.608867i	$0.791625\pi$
$242$	−6.11344	+	9.14471i	−0.392987	+	0.587845i
$243$	10.5889	+	11.4400i	0.679281	+	0.733878i
$244$	3.00746	−	4.13942i	0.192533	−	0.264999i
$245$	8.01661	+	10.9697i	0.512163	+	0.700831i
$246$	1.56182	−	5.65378i	0.0995783	−	0.360472i
$247$	−2.90991	−	1.29558i	−0.185153	−	0.0824355i
$248$	0.876950	+	8.34362i	0.0556864	+	0.529820i
$249$	−6.45236	−	6.55281i	−0.408902	−	0.415267i
$250$	−2.51518	−	11.8330i	−0.159074	−	0.748385i
$251$	−6.84548	+	9.42200i	−0.432083	+	0.594711i	−0.968430	−	0.249286i	$-0.919804\pi$
$251$	−6.84548	+	9.42200i	−0.432083	+	0.594711i	0.536347	+	0.843998i	$0.319804\pi$
$252$	−6.48632	+	4.57467i	−0.408600	+	0.288177i
$253$	−2.58863	+	0.748062i	−0.162746	+	0.0470302i
$254$	−1.78053	+	1.02799i	−0.111721	+	0.0645020i
$255$	2.42307	−	14.5695i	0.151739	−	0.912379i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	−18.0708	−	16.2710i	−1.12722	−	1.01496i	−0.999733	−	0.0231165i	$-0.992641\pi$
$257$	−18.0708	−	16.2710i	−1.12722	−	1.01496i	−0.127490	−	0.991840i	$-0.540692\pi$
$258$	−0.273561	−	6.12454i	−0.0170312	−	0.381297i
$259$	5.39425	−	25.5523i	0.335182	−	1.58774i
$260$	−4.06569	−	12.5129i	−0.252143	−	0.776018i
$261$	−5.18201	−	7.36915i	−0.320758	−	0.456139i
$262$	−5.61799	+	2.50129i	−0.347080	+	0.154530i
$263$	−15.2281	+	26.3759i	−0.939005	+	1.62640i	−0.171674	+	0.985154i	$0.554918\pi$
$263$	−15.2281	+	26.3759i	−0.939005	+	1.62640i	−0.767331	+	0.641251i	$0.778416\pi$
$264$	−5.27511	−	2.27447i	−0.324660	−	0.139984i
$265$	8.12946			0.499389
$266$	−1.00481	+	0.732172i	−0.0616090	+	0.0448923i
$267$	−14.9016	−	18.6954i	−0.911964	−	1.14414i
$268$	2.62484	−	2.91519i	0.160338	−	0.178073i
$269$	−8.66585	+	0.910817i	−0.528366	+	0.0555335i	−0.364956	−	0.931025i	$-0.618916\pi$
$269$	−8.66585	+	0.910817i	−0.528366	+	0.0555335i	−0.163410	+	0.986558i	$0.552249\pi$
$270$	−0.761033	+	10.0568i	−0.0463150	+	0.612040i
$271$	14.6677	+	13.2068i	0.890998	+	0.802259i	0.981065	−	0.193677i	$-0.0620414\pi$
$271$	14.6677	+	13.2068i	0.890998	+	0.802259i	−0.0900669	+	0.995936i	$0.528708\pi$
$272$	−1.35760	+	4.17827i	−0.0823166	+	0.253345i
$273$	−31.0300	+	1.42916i	−1.87802	+	0.0864969i
$274$			20.6533i			1.24771i
$275$	−1.92671	−	3.60566i	−0.116185	−	0.217429i
$276$	−0.629146	−	1.25871i	−0.0378702	−	0.0757653i
$277$	−3.65486	−	8.20895i	−0.219599	−	0.493228i	0.769829	−	0.638250i	$-0.220341\pi$
$277$	−3.65486	−	8.20895i	−0.219599	−	0.493228i	−0.989428	+	0.145022i	$0.953675\pi$
$278$	−0.795070	−	3.74051i	−0.0476851	−	0.224341i
$279$	18.9619	−	16.5503i	1.13522	−	0.990839i
$280$	−5.02459	−	1.06072i	−0.300277	−	0.0633902i
$281$	−0.288036	+	0.209270i	−0.0171828	+	0.0124840i	−0.596343	−	0.802729i	$-0.703380\pi$
$281$	−0.288036	+	0.209270i	−0.0171828	+	0.0124840i	0.579161	+	0.815213i	$0.303380\pi$
$282$	4.06496	+	15.6532i	0.242065	+	0.932135i
$283$	10.4870	−	9.44252i	0.623386	−	0.561299i	−0.295737	−	0.955269i	$-0.595565\pi$
$283$	10.4870	−	9.44252i	0.623386	−	0.561299i	0.919123	+	0.393970i	$0.128899\pi$
$284$	−5.79396	−	13.0134i	−0.343808	−	0.772206i
$285$	−0.0948609	+	1.57693i	−0.00561907	+	0.0934093i
$286$	−12.6100	−	18.6122i	−0.745646	−	1.10056i
$287$	−1.87500	−	8.76137i	−0.110678	−	0.517167i
$288$	0.668985	−	2.92446i	0.0394203	−	0.172325i
$289$	−2.25071	+	0.478402i	−0.132394	+	0.0281413i
$290$	1.21183	−	5.70121i	0.0711611	−	0.334787i
$291$	−1.54135	+	2.96818i	−0.0903557	+	0.173998i
$292$	3.20117	−	7.18996i	0.187335	−	0.420760i
$293$	1.18310	+	3.64120i	0.0691173	+	0.212721i	0.979649	−	0.200718i	$-0.0643274\pi$
$293$	1.18310	+	3.64120i	0.0691173	+	0.212721i	−0.910532	+	0.413439i	$0.864327\pi$
$294$	−5.55771	+	10.7755i	−0.324132	+	0.628441i
$295$	4.73684	+	3.44151i	0.275789	+	0.200373i
$296$	4.93536	+	8.54830i	0.286862	+	0.496860i
$297$	3.52148	+	16.8701i	0.204337	+	0.978901i
$298$	−9.72065	+	16.8367i	−0.563102	+	0.975322i
$299$	0.575649	−	5.47693i	0.0332906	−	0.316739i
$300$	1.66951	−	1.33073i	0.0963892	−	0.0768295i
$301$	−4.69361	−	8.10357i	−0.270535	−	0.467082i
$302$	1.22616	+	1.68766i	0.0705575	+	0.0971141i
$303$	12.8023	+	20.0512i	0.735476	+	1.15191i
$304$	0.0977002	−	0.459644i	0.00560349	−	0.0263624i
$305$	−6.64526	−	7.38031i	−0.380507	−	0.422595i
$306$	12.5962	−	3.87871i	0.720077	−	0.221731i
$307$			17.3563i			0.990578i	0.868728	+	0.495289i	$0.164938\pi$
$307$			17.3563i			0.990578i	−0.868728	+	0.495289i	$0.835062\pi$
$308$	−8.75142	+	0.642317i	−0.498659	+	0.0365994i
$309$	2.96744	+	1.95982i	0.168812	+	0.111490i
$310$	16.1947	+	1.70214i	0.919799	+	0.0966748i
$311$	18.5201	−	16.6756i	1.05018	−	0.945587i	0.0515901	−	0.998668i	$-0.483571\pi$
$311$	18.5201	−	16.6756i	1.05018	−	0.945587i	0.998590	+	0.0530818i	$0.0169044\pi$
$312$	8.36578	−	8.23755i	0.473619	−	0.466359i
$313$	−24.8209	−	11.0510i	−1.40296	−	0.624639i	−0.440922	−	0.897546i	$-0.645348\pi$
$313$	−24.8209	−	11.0510i	−1.40296	−	0.624639i	−0.962041	+	0.272907i	$0.912015\pi$
$314$	0.147363	−	0.107066i	0.00831618	−	0.00604206i
$315$	6.06772	+	14.1608i	0.341877	+	0.797869i
$316$	7.13383	+	2.31792i	0.401309	+	0.130393i
$317$	−0.275689	−	0.0289761i	−0.0154842	−	0.00162746i	0.0967832	−	0.995305i	$-0.469145\pi$
$317$	−0.275689	−	0.0289761i	−0.0154842	−	0.00162746i	−0.112267	+	0.993678i	$0.535811\pi$
$318$	3.24342	+	6.48898i	0.181882	+	0.363884i
$319$	−0.715238	−	9.93383i	−0.0400456	−	0.556188i
$320$	1.68093	−	0.970486i	0.0939669	−	0.0542518i
$321$	−0.809184	−	2.15766i	−0.0451642	−	0.120429i
$322$	−1.74074	−	1.26104i	−0.0970078	−	0.0702748i
$323$	1.96342	−	0.637953i	0.109248	−	0.0354967i
$324$	−8.33105	+	3.40493i	−0.462836	+	0.189163i
$325$	8.30956	−	0.873369i	0.460931	−	0.0484458i
$326$	−20.7315	−	4.40662i	−1.14821	−	0.244060i
$327$	−11.2740	+	28.7050i	−0.623451	+	1.58739i
$328$	2.73971	+	1.99052i	0.151275	+	0.109908i
$329$	16.5555	+	18.3355i	0.912735	+	1.01087i
$330$	−6.44699	+	9.09723i	−0.354895	+	0.500786i
$331$	8.15966	+	14.1329i	0.448495	+	0.776817i	0.998288	−	0.0584841i	$-0.0186267\pi$
$331$	8.15966	+	14.1329i	0.448495	+	0.776817i	−0.549793	+	0.835301i	$0.685293\pi$
$332$	4.85047	−	2.15957i	0.266204	−	0.118522i
$333$	12.4608	−	26.8628i	0.682845	−	1.47207i
$334$	−2.69873	+	2.99724i	−0.147668	+	0.164002i
$335$	−4.47539	−	6.15985i	−0.244517	−	0.336548i
$336$	−1.15799	−	4.43385i	−0.0631737	−	0.241887i
$337$	−22.8595	+	7.42750i	−1.24524	+	0.404602i	−0.856211	−	0.516626i	$-0.827188\pi$
$337$	−22.8595	+	7.42750i	−1.24524	+	0.404602i	−0.389025	+	0.921227i	$0.627188\pi$
$338$	32.2279	−	6.85024i	1.75296	−	0.372604i
$339$	0.265283	−	1.59510i	0.0144082	−	0.0866341i
$340$	7.38482	+	4.26363i	0.400498	+	0.231228i
$341$	27.3923	−	4.88830i	1.48338	−	0.264716i
$342$	−1.29656	+	0.553431i	−0.0701100	+	0.0299261i
$343$	0.0771276	+	18.5201i	0.00416450	+	0.999991i
$344$	3.36629	+	1.09377i	0.181498	+	0.0589724i
$345$	−2.64362	+	0.686518i	−0.142328	+	0.0369609i
$346$	2.28175	+	21.7094i	0.122668	+	1.16711i
$347$	0.799262	+	7.60447i	0.0429066	+	0.408229i	0.994804	+	0.101811i	$0.0324639\pi$
$347$	0.799262	+	7.60447i	0.0429066	+	0.408229i	−0.951897	+	0.306418i	$0.900869\pi$
$348$	5.03422	−	1.30733i	0.269863	−	0.0700802i
$349$	28.8452	+	9.37239i	1.54405	+	0.501692i	0.952490	−	0.304569i	$-0.0985123\pi$
$349$	28.8452	+	9.37239i	1.54405	+	0.501692i	0.591560	+	0.806261i	$0.298512\pi$
$350$	1.32232	−	2.98111i	0.0706810	−	0.159347i
$351$	−34.6514	−	6.31441i	−1.84956	−	0.337038i
$352$	2.29899	−	2.39053i	0.122537	−	0.127416i
$353$	−7.54247	−	4.35465i	−0.401445	−	0.231774i	0.285662	−	0.958330i	$-0.407786\pi$
$353$	−7.54247	−	4.35465i	−0.401445	−	0.231774i	−0.687107	+	0.726556i	$0.741120\pi$
$354$	−0.857173	+	5.15403i	−0.0455582	+	0.273934i
$355$	−27.0449	+	5.74858i	−1.43540	+	0.305103i
$356$	13.1275	−	4.26538i	0.695756	−	0.226065i
$357$	14.3258	−	14.1454i	0.758201	−	0.748655i
$358$	1.70441	+	2.34592i	0.0900809	+	0.123986i
$359$	−2.85484	+	3.17062i	−0.150673	+	0.167339i	−0.813756	−	0.581207i	$-0.802581\pi$
$359$	−2.85484	+	3.17062i	−0.150673	+	0.167339i	0.663083	+	0.748546i	$0.269247\pi$
$360$	−5.28228	−	2.45027i	−0.278401	−	0.129141i
$361$	17.1556	−	7.63818i	0.902928	−	0.402010i
$362$	6.26369	+	10.8490i	0.329212	+	0.570213i
$363$	−6.26767	+	17.9921i	−0.328967	+	0.944341i
$364$	5.51828	−	17.0641i	0.289237	−	0.894402i
$365$	−12.3587	−	8.97913i	−0.646884	−	0.469989i
$366$	3.23974	−	8.24882i	0.169344	−	0.431173i
$367$	−23.0390	−	4.89710i	−1.20263	−	0.255626i	−0.437329	−	0.899302i	$-0.644075\pi$
$367$	−23.0390	−	4.89710i	−1.20263	−	0.255626i	−0.765299	+	0.643675i	$0.777409\pi$
$368$	0.807988	−	0.0849230i	0.0421193	−	0.00442692i
$369$	0.156918	−	10.1582i	0.00816885	−	0.528815i
$370$	18.2211	−	5.92040i	0.947270	−	0.307787i
$371$	8.97401	+	6.50098i	0.465907	+	0.337514i
$372$	5.10258	+	13.6058i	0.264557	+	0.705430i
$373$	32.4706	−	18.7469i	1.68127	−	0.970679i	0.720443	−	0.693514i	$-0.243938\pi$
$373$	32.4706	−	18.7469i	1.68127	−	0.970679i	0.960822	−	0.277165i	$-0.0893949\pi$
$374$	14.1453	+	3.49584i	0.731437	+	0.180766i
$375$	−9.36810	−	18.7424i	−0.483767	−	0.967852i
$376$	−9.28600	−	0.975997i	−0.478889	−	0.0503332i
$377$	19.3590	+	6.29011i	0.997037	+	0.323957i
$378$	−8.88236	+	10.4930i	−0.456860	+	0.539703i
$379$	11.0824	−	8.05180i	0.569262	−	0.413593i	−0.265575	−	0.964090i	$-0.585562\pi$
$379$	11.0824	−	8.05180i	0.569262	−	0.413593i	0.834837	+	0.550497i	$0.185562\pi$
$380$	−0.833233	−	0.370979i	−0.0427439	−	0.0190308i
$381$	−2.53743	+	2.49853i	−0.129996	+	0.128004i
$382$	5.66614	−	5.10182i	0.289905	−	0.261032i
$383$	−24.3664	−	2.56101i	−1.24507	−	0.130862i	−0.541016	−	0.841012i	$-0.681960\pi$
$383$	−24.3664	−	2.56101i	−1.24507	−	0.130862i	−0.704050	+	0.710151i	$0.748627\pi$
$384$	1.44529	+	0.954533i	0.0737547	+	0.0487108i
$385$	−2.31217	+	16.8743i	−0.117839	+	0.859994i
$386$		−	15.3741i		−	0.782521i
$387$	−3.12495	−	10.1484i	−0.158850	−	0.515870i
$388$	−1.29207	−	1.43499i	−0.0655947	−	0.0728503i
$389$	−3.93745	+	18.5242i	−0.199636	+	0.939215i	0.758227	+	0.651991i	$0.226066\pi$
$389$	−3.93745	+	18.5242i	−0.199636	+	0.939215i	−0.957863	+	0.287225i	$0.907267\pi$
$390$	−12.2634	−	19.2072i	−0.620984	−	0.972594i
$391$	2.09797	+	2.88761i	0.106099	+	0.146033i
$392$	−4.69834	−	5.18899i	−0.237302	−	0.262084i
$393$	−8.32930	+	6.63908i	−0.420158	+	0.334897i
$394$	−0.339461	+	3.22976i	−0.0171018	+	0.162713i
$395$	7.27957	−	12.6086i	0.366275	−	0.634407i
$396$	−9.83363	−	1.51649i	−0.494158	−	0.0762066i
$397$	−4.75617	−	8.23792i	−0.238705	−	0.413449i	0.721638	−	0.692271i	$-0.243390\pi$
$397$	−4.75617	−	8.23792i	−0.238705	−	0.413449i	−0.960343	+	0.278821i	$0.910056\pi$
$398$	13.7224	+	9.96992i	0.687843	+	0.499747i
$399$	−1.36576	+	1.66489i	−0.0683734	+	0.0833490i
$400$	0.380902	+	1.17230i	0.0190451	+	0.0586148i
$401$	−12.1145	+	27.2097i	−0.604972	+	1.35879i	0.308242	+	0.951308i	$0.400259\pi$
$401$	−12.1145	+	27.2097i	−0.604972	+	1.35879i	−0.913214	+	0.407481i	$0.866407\pi$
$402$	3.13127	−	6.02988i	0.156174	−	0.300743i
$403$	−11.8237	+	55.6259i	−0.588978	+	2.77092i
$404$	−13.4349	+	2.85567i	−0.668410	+	0.142075i
$405$	3.10245	+	17.1911i	0.154162	+	0.854230i
$406$	5.89688	−	5.32441i	0.292657	−	0.264246i
$407$	27.1028	−	18.3625i	1.34343	−	0.910196i
$408$	−0.456920	+	7.59567i	−0.0226209	+	0.376042i
$409$	4.81122	+	10.8062i	0.237899	+	0.534331i	0.992556	−	0.121789i	$-0.0388632\pi$
$409$	4.81122	+	10.8062i	0.237899	+	0.534331i	−0.754657	+	0.656120i	$0.772196\pi$
$410$	4.88473	−	4.39823i	0.241239	−	0.217213i
$411$	8.99148	+	34.6241i	0.443517	+	1.70788i
$412$	−1.66105	+	1.20683i	−0.0818343	+	0.0594561i
$413$	2.47682	+	7.58700i	0.121876	+	0.373332i
$414$	−1.60271	−	1.83625i	−0.0787690	−	0.0902469i
$415$	−2.14265	−	10.0804i	−0.105179	−	0.494827i
$416$	2.75706	+	6.19245i	0.135176	+	0.303610i
$417$	−2.96134	−	5.92462i	−0.145017	−	0.290130i
$418$	−1.54380	−	0.213720i	−0.0755097	−	0.0104534i
$419$			13.8394i			0.676097i	0.941129	+	0.338049i	$0.109767\pi$
$419$			13.8394i			0.676097i	−0.941129	+	0.338049i	$0.890233\pi$
$420$	−8.88524	+	0.409231i	−0.433555	+	0.0199684i
$421$	−5.19198	+	15.9793i	−0.253042	+	0.778783i	0.741167	+	0.671320i	$0.234273\pi$
$421$	−5.19198	+	15.9793i	−0.253042	+	0.778783i	−0.994209	+	0.107462i	$0.965727\pi$
$422$	−4.75241	−	4.27909i	−0.231344	−	0.208303i
$423$	13.6294	+	24.4720i	0.662682	+	1.18987i
$424$	−4.16540	+	0.437801i	−0.202290	+	0.0212615i
$425$	−3.62353	+	4.02433i	−0.175767	+	0.195209i
$426$	−15.3787	−	19.2939i	−0.745100	−	0.934792i
$427$	−1.43372	−	13.4611i	−0.0693824	−	0.651430i
$428$	1.33045			0.0643096
$429$	−29.2429	−	25.7125i	−1.41186	−	1.24141i
$430$	3.43506	−	5.94971i	0.165653	−	0.286920i
$431$	20.6548	−	9.19613i	0.994909	−	0.442962i	0.156308	−	0.987708i	$-0.450041\pi$
$431$	20.6548	−	9.19613i	0.994909	−	0.442962i	0.838601	+	0.544746i	$0.183374\pi$
$432$	−0.151657	−	5.19394i	−0.00729660	−	0.249893i
$433$	2.97814	+	9.16578i	0.143120	+	0.440479i	0.996764	−	0.0803776i	$-0.0256126\pi$
$433$	2.97814	+	9.16578i	0.143120	+	0.440479i	−0.853644	+	0.520857i	$0.825613\pi$
$434$	16.5160	+	14.8296i	0.792793	+	0.711844i
$435$	−0.450476	−	10.0853i	−0.0215987	−	0.483555i
$436$	−13.2319	−	11.9140i	−0.633692	−	0.570579i
$437$	−0.255457	−	0.283714i	−0.0122202	−	0.0135719i
$438$	2.23642	−	13.4472i	0.106860	−	0.642532i
$439$	32.3764	−	18.6925i	1.54524	−	0.892145i	0.546745	−	0.837299i	$-0.315867\pi$
$439$	32.3764	−	18.6925i	1.54524	−	0.892145i	0.998495	−	0.0548453i	$-0.0174666\pi$
$440$	−3.61079	−	5.32947i	−0.172138	−	0.254073i
$441$	−4.62604	+	20.4841i	−0.220288	+	0.975435i
$442$	−17.5041	+	24.0924i	−0.832587	+	1.14596i
$443$	5.00874	+	23.5643i	0.237973	+	1.11957i	0.921116	+	0.389289i	$0.127279\pi$
$443$	5.00874	+	23.5643i	0.237973	+	1.11957i	−0.683143	+	0.730284i	$0.739388\pi$
$444$	11.9954	+	12.1821i	0.569276	+	0.578138i
$445$	−2.80046	−	26.6446i	−0.132755	−	1.26308i
$446$	12.7494	+	5.67640i	0.603701	+	0.268785i
$447$	−8.96624	+	32.4577i	−0.424089	+	1.53519i
$448$	2.63164	+	0.272903i	0.124333	+	0.0128935i
$449$	6.31116	−	8.68657i	0.297842	−	0.409944i	−0.633700	−	0.773579i	$-0.718464\pi$
$449$	6.31116	−	8.68657i	0.297842	−	0.409944i	0.931542	+	0.363635i	$0.118464\pi$
$450$	2.21950	−	2.95771i	0.104628	−	0.139428i
$451$	5.93221	−	9.53724i	0.279337	−	0.449091i
$452$	0.808506	+	0.466791i	0.0380289	+	0.0219560i
$453$	2.79032	+	2.29546i	0.131101	+	0.107850i
$454$	3.10704	−	9.56249i	0.145821	−	0.448790i
$455$	−30.1703	−	17.3630i	−1.41440	−	0.813991i
$456$	−0.0363183	−	0.813101i	−0.00170076	−	0.0380770i
$457$	−4.38249	+	9.84323i	−0.205004	+	0.460447i	−0.986562	−	0.163386i	$-0.947759\pi$
$457$	−4.38249	+	9.84323i	−0.205004	+	0.460447i	0.781558	+	0.623832i	$0.214425\pi$
$458$	17.7321	+	3.76907i	0.828566	+	0.176117i
$459$	19.4282	−	11.9862i	0.906833	−	0.559470i
$460$	0.164833	−	1.56828i	0.00768539	−	0.0731216i
$461$	−15.8811			−0.739657			−0.369829	−	0.929100i	$-0.620584\pi$
$461$	−15.8811			−0.739657			−0.369829	+	0.929100i	$0.620584\pi$
$462$	−14.3916	+	4.88677i	−0.669560	+	0.227353i
$463$	−13.2254			−0.614637			−0.307318	−	0.951607i	$-0.599432\pi$
$463$	−13.2254			−0.614637			−0.307318	+	0.951607i	$0.599432\pi$
$464$	−0.313890	+	2.98647i	−0.0145720	+	0.138643i
$465$	27.8906	−	4.19690i	1.29340	−	0.194627i
$466$	−1.81947	−	0.386741i	−0.0842854	−	0.0179154i
$467$	−11.3821	+	25.5646i	−0.526701	+	1.18299i	0.432853	+	0.901464i	$0.357507\pi$
$467$	−11.3821	+	25.5646i	−0.526701	+	1.18299i	−0.959554	+	0.281525i	$0.909160\pi$
$468$	10.4385	−	17.4519i	0.482521	−	0.806713i
$469$	−0.0144074	−	10.3787i	−0.000665270	−	0.479242i
$470$	−5.60036	+	17.2361i	−0.258325	+	0.795044i
$471$	0.200435	−	0.243645i	0.00923555	−	0.0112265i
$472$	−2.61241	−	1.50828i	−0.120246	−	0.0694241i
$473$	2.81649	−	11.3964i	0.129502	−	0.524008i
$474$	12.9686	+	0.780130i	0.595667	+	0.0358326i
$475$	0.340460	−	0.468603i	0.0156214	−	0.0215010i
$476$	4.74246	+	10.6121i	0.217370	+	0.486403i
$477$	8.26242	+	9.46639i	0.378310	+	0.433436i
$478$	−1.83382	−	0.816468i	−0.0838768	−	0.0373444i
$479$	−1.59293	−	15.1557i	−0.0727827	−	0.692481i	−0.968696	−	0.248251i	$-0.920144\pi$
$479$	−1.59293	−	15.1557i	−0.0727827	−	0.692481i	0.895913	−	0.444230i	$-0.146523\pi$
$480$	2.39548	−	2.35877i	0.109338	−	0.107662i
$481$	13.9111	+	65.4464i	0.634290	+	2.98410i
$482$	6.98165	−	9.60941i	0.318005	−	0.437697i
$483$	−3.46726	−	1.35622i	−0.157766	−	0.0617101i
$484$	−8.45559	−	7.03584i	−0.384345	−	0.319811i
$485$	−3.24582	+	1.87397i	−0.147385	+	0.0850928i
$486$	−12.4842	+	9.33513i	−0.566295	+	0.423450i
$487$	−6.65399	−	7.39000i	−0.301521	−	0.334873i	0.573276	−	0.819362i	$-0.305672\pi$
$487$	−6.65399	−	7.39000i	−0.301521	−	0.334873i	−0.874797	+	0.484489i	$0.839006\pi$
$488$	3.80238	+	3.42368i	0.172126	+	0.154983i
$489$	−36.6737	+	1.63808i	−1.65844	+	0.0740767i
$490$	−11.7476	+	6.82605i	−0.530703	+	0.308369i
$491$	1.60842	+	4.95021i	0.0725870	+	0.223400i	0.980768	−	0.195178i	$-0.0625286\pi$
$491$	1.60842	+	4.95021i	0.0725870	+	0.223400i	−0.908181	+	0.418578i	$0.862529\pi$
$492$	5.45956	+	2.14425i	0.246136	+	0.0966702i
$493$	−12.0521	+	5.36595i	−0.542800	+	0.241670i
$494$	1.59265	−	2.75854i	0.0716565	−	0.124113i
$495$	−6.84752	+	18.0577i	−0.307773	+	0.811635i
$496$	−8.38958			−0.376703
$497$	−34.4516	−	15.2816i	−1.54536	−	0.685472i
$498$	7.19136	−	5.73206i	0.322253	−	0.256860i
$499$	−7.12044	+	7.90805i	−0.318755	+	0.354013i	−0.881134	−	0.472866i	$-0.843219\pi$
$499$	−7.12044	+	7.90805i	−0.318755	+	0.354013i	0.562379	+	0.826879i	$0.309886\pi$
$500$	12.0311	−	1.26452i	0.538046	−	0.0565510i
$501$	−3.21941	+	6.19962i	−0.143833	+	0.276978i
$502$	−8.65484	−	7.79285i	−0.386284	−	0.347812i
$503$	13.3840	−	41.1917i	0.596763	−	1.83665i	0.0510144	−	0.998698i	$-0.483755\pi$
$503$	13.3840	−	41.1917i	0.596763	−	1.83665i	0.545748	−	0.837949i	$-0.316245\pi$
$504$	−3.87160	−	6.92897i	−0.172455	−	0.308641i
$505$			26.6593i			1.18632i
$506$	−0.473378	−	2.65265i	−0.0210442	−	0.117925i
$507$	51.0459	−	25.5146i	2.26703	−	1.13314i
$508$	−0.836244	−	1.87824i	−0.0371023	−	0.0833332i
$509$	−8.77384	−	41.2777i	−0.388894	−	1.82960i	−0.540731	−	0.841196i	$-0.681852\pi$
$509$	−8.77384	−	41.2777i	−0.388894	−	1.82960i	0.151837	−	0.988406i	$-0.451481\pi$
$510$	14.2364	+	3.93273i	0.630400	+	0.174144i
$511$	−6.46217	−	19.7950i	−0.285870	−	0.875678i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−1.93268	+	1.49226i	−0.0853297	+	0.0658849i
$514$	18.0708	−	16.2710i	0.797067	−	0.717683i
$515$	1.62091	+	3.64062i	0.0714258	+	0.160425i
$516$	6.11958	+	0.368126i	0.269399	+	0.0162058i
$517$	−1.01691	+	30.9511i	−0.0447237	+	1.36123i
$518$	24.8485	+	8.03564i	1.09178	+	0.353066i
$519$	13.2765	+	35.4013i	0.582774	+	1.55394i
$520$	12.8693	−	2.73546i	0.564358	−	0.119958i
$521$	−6.16082	+	28.9844i	−0.269910	+	1.26983i	0.609126	+	0.793073i	$0.291520\pi$
$521$	−6.16082	+	28.9844i	−0.269910	+	1.26983i	−0.879036	+	0.476755i	$0.841813\pi$
$522$	7.87045	−	4.38333i	0.344480	−	0.191853i
$523$	7.42212	−	16.6703i	0.324546	−	0.728943i	−0.675417	−	0.737436i	$-0.736037\pi$
$523$	7.42212	−	16.6703i	0.324546	−	0.728943i	0.999964	+	0.00849224i	$0.00270320\pi$
$524$	−1.90035	−	5.84867i	−0.0830170	−	0.255500i
$525$	0.918960	−	5.57334i	0.0401067	−	0.243241i
$526$	−24.6396	−	17.9017i	−1.07434	−	0.780552i
$527$	−18.4289	−	31.9198i	−0.802776	−	1.39045i
$528$	2.81341	−	5.00846i	0.122438	−	0.217965i
$529$	−11.1700	+	19.3470i	−0.485651	+	0.841172i
$530$	−0.849760	+	8.08493i	−0.0369112	+	0.351187i
$531$	0.806823	+	9.01363i	0.0350131	+	0.391158i
$532$	−0.623130	−	1.07584i	−0.0270161	−	0.0466436i
$533$	13.4927	+	18.5711i	0.584433	+	0.804403i
$534$	20.1506	−	12.8658i	0.872001	−	0.556757i
$535$	0.536903	−	2.52593i	0.0232123	−	0.109205i
$536$	2.62484	+	2.91519i	0.113376	+	0.125917i
$537$	3.87866	+	3.19079i	0.167376	+	0.137693i
$538$		−	8.71358i		−	0.375669i
$539$	−16.0464	+	16.7783i	−0.691169	+	0.722693i
$540$	−9.92219	−	1.80809i	−0.426983	−	0.0778078i
$541$	−10.5147	−	1.10514i	−0.452062	−	0.0475136i	−0.124238	−	0.992252i	$-0.539649\pi$
$541$	−10.5147	−	1.10514i	−0.452062	−	0.0475136i	−0.327824	+	0.944739i	$0.606315\pi$
$542$	−14.6677	+	13.2068i	−0.630031	+	0.567282i
$543$	15.2239	+	15.4609i	0.653320	+	0.663490i
$544$	−4.01347	−	1.78691i	−0.172076	−	0.0766132i
$545$	−27.9592	+	20.3136i	−1.19764	+	0.870138i
$546$	1.82219	−	31.0094i	0.0779823	−	1.32708i
$547$	0.752165	+	0.244393i	0.0321603	+	0.0104495i	0.325053	−	0.945696i	$-0.394618\pi$
$547$	0.752165	+	0.244393i	0.0321603	+	0.0104495i	−0.292893	+	0.956145i	$0.594618\pi$
$548$	−20.5401	−	2.15886i	−0.877431	−	0.0922217i
$549$	1.84009	−	15.2391i	0.0785331	−	0.650390i
$550$	3.78730	−	1.53927i	0.161491	−	0.0656345i
$551$	1.22205	−	0.705554i	0.0520613	−	0.0300576i
$552$	1.31758	−	0.494129i	0.0560798	−	0.0210315i
$553$	18.1187	−	8.09711i	0.770485	−	0.344324i
$554$	8.54602	−	2.77677i	0.363086	−	0.117974i
$555$	27.9692	−	17.8578i	1.18723	−	0.758023i
$556$	3.80313	−	0.399725i	0.161289	−	0.0169521i
$557$	12.0218	+	2.55532i	0.509382	+	0.108272i	0.455431	−	0.890271i	$-0.349485\pi$
$557$	12.0218	+	2.55532i	0.509382	+	0.108272i	0.0539510	+	0.998544i	$0.482819\pi$
$558$	14.4775	+	20.5880i	0.612883	+	0.871560i
$559$	19.4104	+	14.1025i	0.820975	+	0.596473i
$560$	1.58012	−	4.88619i	0.0667724	−	0.206479i
$561$	25.2358	−	0.297623i	1.06545	−	0.0125657i
$562$	−0.178016	−	0.308333i	−0.00750915	−	0.0130062i
$563$	30.9200	−	13.7665i	1.30312	−	0.580188i	0.366465	−	0.930432i	$-0.380568\pi$
$563$	30.9200	−	13.7665i	1.30312	−	0.580188i	0.936658	+	0.350244i	$0.113901\pi$
$564$	−15.9924	+	2.40648i	−0.673400	+	0.101331i
$565$	1.21250	−	1.34662i	0.0510104	−	0.0566528i
$566$	8.29460	+	11.4165i	0.348648	+	0.479873i
$567$	−10.3226	+	21.4579i	−0.433509	+	0.901149i
$568$	13.5478	−	4.40194i	0.568452	−	0.184701i
$569$	14.2558	−	3.03017i	0.597636	−	0.127031i	0.100846	−	0.994902i	$-0.467845\pi$
$569$	14.2558	−	3.03017i	0.597636	−	0.127031i	0.496790	+	0.867871i	$0.334512\pi$
$570$	−1.55838	−	0.259175i	−0.0652732	−	0.0108557i
$571$	−34.2234	−	19.7589i	−1.43220	−	0.826884i	−0.434916	−	0.900471i	$-0.643222\pi$
$571$	−34.2234	−	19.7589i	−1.43220	−	0.826884i	−0.997289	+	0.0735875i	$0.976555\pi$
$572$	19.8283	−	10.5954i	0.829064	−	0.443018i
$573$	7.27788	−	11.0197i	0.304038	−	0.460354i
$574$	8.90937	−	0.948918i	0.371870	−	0.0396071i
$575$	0.952419	+	0.309460i	0.0397186	+	0.0129054i
$576$	2.83851	+	0.971009i	0.118271	+	0.0404587i
$577$	1.80520	+	17.1754i	0.0751516	+	0.715020i	0.965617	+	0.259969i	$0.0837123\pi$
$577$	1.80520	+	17.1754i	0.0751516	+	0.715020i	−0.890465	+	0.455051i	$0.849621\pi$
$578$	−0.240519	−	2.28838i	−0.0100043	−	0.0951842i
$579$	−6.69317	−	25.7738i	−0.278159	−	1.07112i
$580$	5.54331	+	1.80113i	0.230173	+	0.0747878i
$581$	5.69586	−	12.8410i	0.236304	−	0.532736i
$582$	−2.79080	−	1.84317i	−0.115683	−	0.0764018i
$583$	2.44039	+	13.6751i	0.101071	+	0.566366i
$584$	6.81595	+	3.93519i	0.282046	+	0.162839i
$585$	−28.9209	−	26.8609i	−1.19573	−	1.11056i
$586$	−3.74492	+	0.796008i	−0.154701	+	0.0328828i
$587$	18.9588	−	6.16010i	0.782515	−	0.254254i	0.109601	−	0.993976i	$-0.465043\pi$
$587$	18.9588	−	6.16010i	0.782515	−	0.254254i	0.672913	+	0.739721i	$0.265043\pi$
$588$	−10.1356	−	6.65362i	−0.417983	−	0.274391i
$589$	2.31726	+	3.18944i	0.0954812	+	0.131419i
$590$	−3.91779	+	4.35115i	−0.161293	+	0.179134i
$591$	0.836998	+	5.56229i	0.0344295	+	0.228802i
$592$	−9.01735	+	4.01478i	−0.370611	+	0.165007i
$593$	1.59393	+	2.76077i	0.0654548	+	0.113371i	0.896896	−	0.442242i	$-0.145817\pi$
$593$	1.59393	+	2.76077i	0.0654548	+	0.113371i	−0.831441	+	0.555613i	$0.812484\pi$
$594$	−17.1457	+	1.73879i	−0.703498	+	0.0713433i
$595$	22.0614	−	4.72132i	0.904431	−	0.193555i
$596$	−15.7283	−	11.4273i	−0.644258	−	0.468081i
$597$	27.3453	+	10.7399i	1.11917	+	0.439556i
$598$	5.38676	+	1.14499i	0.220281	+	0.0468222i
$599$	−9.01011	+	0.947001i	−0.368143	+	0.0386934i	−0.286794	−	0.957992i	$-0.592590\pi$
$599$	−9.01011	+	0.947001i	−0.368143	+	0.0386934i	−0.0813491	+	0.996686i	$0.525923\pi$
$600$	1.14892	+	1.79946i	0.0469046	+	0.0734627i
$601$	15.0502	−	4.89011i	0.613911	−	0.199472i	0.0144763	−	0.999895i	$-0.495392\pi$
$601$	15.0502	−	4.89011i	0.613911	−	0.199472i	0.599435	+	0.800423i	$0.295392\pi$
$602$	8.54979	−	3.82084i	0.348464	−	0.155726i
$603$	2.62427	−	11.4720i	0.106869	−	0.467175i
$604$	−1.80659	+	1.04303i	−0.0735089	+	0.0424404i
$605$	−16.7702	+	13.2141i	−0.681806	+	0.537230i
$606$	−21.2796	+	10.6363i	−0.864424	+	0.432070i
$607$	14.1677	+	1.48909i	0.575051	+	0.0604403i	0.387590	−	0.921832i	$-0.373308\pi$
$607$	14.1677	+	1.48909i	0.575051	+	0.0604403i	0.187461	+	0.982272i	$0.439974\pi$
$608$	0.446913	+	0.145211i	0.0181247	+	0.00588908i
$609$	7.56779	−	11.4933i	0.306662	−	0.465732i
$610$	8.03450	−	5.83741i	0.325307	−	0.236350i
$611$	−57.8198	−	25.7431i	−2.33914	−	1.04145i
$612$	2.54080	+	12.9326i	0.102706	+	0.522771i
$613$	−15.7474	+	14.1790i	−0.636031	+	0.572685i	−0.922783	−	0.385320i	$-0.874091\pi$
$613$	−15.7474	+	14.1790i	−0.636031	+	0.572685i	0.286752	+	0.958005i	$0.407424\pi$
$614$	−17.2612	−	1.81423i	−0.696607	−	0.0732163i
$615$	6.27419	−	9.49997i	0.253000	−	0.383076i
$616$	0.275975	−	8.77062i	0.0111193	−	0.353378i
$617$		−	33.0511i		−	1.33059i	−0.746582	−	0.665293i	$-0.768307\pi$
$617$		−	33.0511i		−	1.33059i	0.746582	−	0.665293i	$-0.231693\pi$
$618$	−2.25927	+	2.74632i	−0.0908811	+	0.110473i
$619$	−5.32475	−	5.91374i	−0.214020	−	0.237693i	0.626570	−	0.779365i	$-0.284458\pi$
$619$	−5.32475	−	5.91374i	−0.214020	−	0.237693i	−0.840590	+	0.541672i	$0.817792\pi$
$620$	−3.38562	+	15.9281i	−0.135970	+	0.639688i
$621$	−3.48628	−	2.38063i	−0.139900	−	0.0955314i
$622$	14.6484	+	20.1617i	0.587346	+	0.808413i
$623$	18.2158	−	31.6521i	0.729802	−	1.26812i
$624$	7.31796	+	9.18101i	0.292953	+	0.367535i
$625$	1.81017	−	17.2226i	0.0724069	−	0.688906i
$626$	13.5849	−	23.5298i	0.542964	−	0.940441i
$627$	−2.68114	+	0.313809i	−0.107074	+	0.0125323i
$628$	0.0910754	+	0.157747i	0.00363430	+	0.00629480i
$629$	−35.0830	−	25.4893i	−1.39885	−	1.01632i
$630$	−14.7174	+	4.55427i	−0.586357	+	0.181447i
$631$	−4.27302	−	13.1510i	−0.170106	−	0.523533i	0.829270	−	0.558848i	$-0.188757\pi$
$631$	−4.27302	−	13.1510i	−0.170106	−	0.523533i	−0.999376	+	0.0353151i	$0.988757\pi$
$632$	−3.05091	+	6.85246i	−0.121359	+	0.272576i
$633$	−9.83007	−	5.10468i	−0.390710	−	0.202893i
$634$	0.0576347	−	0.271150i	0.00228897	−	0.0107687i
$635$	−3.90341	+	0.829694i	−0.154902	+	0.0329254i
$636$	−6.79247	+	2.54737i	−0.269339	+	0.101010i
$637$	−19.4197	−	43.2934i	−0.769436	−	1.71535i
$638$	9.95417	+	0.327049i	0.394090	+	0.0129480i
$639$	−34.1812	−	25.6500i	−1.35219	−	1.01470i
$640$	0.789465	+	1.77317i	0.0312063	+	0.0700906i
$641$	−21.1257	+	19.0216i	−0.834413	+	0.751309i	−0.970939	−	0.239327i	$-0.923073\pi$
$641$	−21.1257	+	19.0216i	−0.834413	+	0.751309i	0.136526	+	0.990637i	$0.456406\pi$
$642$	2.23042	−	0.579215i	0.0880277	−	0.0228598i
$643$	8.11733	−	5.89759i	0.320116	−	0.232578i	−0.416109	−	0.909315i	$-0.636606\pi$
$643$	8.11733	−	5.89759i	0.320116	−	0.232578i	0.736225	+	0.676737i	$0.236606\pi$
$644$	1.43608	−	1.59939i	0.0565897	−	0.0630249i
$645$	3.16847	−	11.4698i	0.124758	−	0.451624i
$646$	0.429225	+	2.01935i	0.0168876	+	0.0794501i
$647$	14.1754	+	31.8384i	0.557291	+	1.25170i	0.944137	+	0.329552i	$0.106898\pi$
$647$	14.1754	+	31.8384i	0.557291	+	1.25170i	−0.386846	+	0.922144i	$0.626436\pi$
$648$	−2.51544	−	8.64133i	−0.0988160	−	0.339463i
$649$	−4.36725	+	9.00127i	−0.171429	+	0.353331i
$650$			8.35533i			0.327723i
$651$	34.1443	+	17.6707i	1.33822	+	0.692570i
$652$	6.54952	−	20.1573i	0.256499	−	0.789422i
$653$	−0.787802	−	0.709340i	−0.0308291	−	0.0277586i	0.653572	−	0.756864i	$-0.273270\pi$
$653$	−0.787802	−	0.709340i	−0.0308291	−	0.0277586i	−0.684401	+	0.729106i	$0.739936\pi$
$654$	−27.3693	−	14.2127i	−1.07023	−	0.555760i
$655$	−11.8709	+	1.24768i	−0.463835	+	0.0487510i
$656$	−2.26599	+	2.51664i	−0.0884721	+	0.0982582i
$657$	−2.10505	−	23.5171i	−0.0821259	−	0.917491i
$658$	−19.9656	+	14.5482i	−0.778340	+	0.567149i
$659$	14.3495			0.558978			0.279489	−	0.960149i	$-0.409835\pi$
$659$	14.3495			0.558978			0.279489	+	0.960149i	$0.409835\pi$
$660$	−8.37350	−	7.36260i	−0.325938	−	0.286589i
$661$	−17.4838	+	30.2828i	−0.680041	+	1.17786i	0.294927	+	0.955520i	$0.404705\pi$
$661$	−17.4838	+	30.2828i	−0.680041	+	1.17786i	−0.974968	+	0.222345i	$0.928629\pi$
$662$	−14.9084	+	6.63767i	−0.579433	+	0.257980i
$663$	−18.8560	+	48.0101i	−0.732308	+	1.86456i
$664$	1.64072	+	5.04963i	0.0636725	+	0.195964i
$665$	−2.29401	+	0.748891i	−0.0889579	+	0.0290408i
$666$	25.4131	+	15.2004i	0.984739	+	0.589004i
$667$	1.81304	+	1.63247i	0.0702012	+	0.0632094i
$668$	−2.69873	−	2.99724i	−0.104417	−	0.115967i
$669$	23.8449	+	3.96567i	0.921897	+	0.153322i
$670$	6.59391	−	3.80699i	0.254745	−	0.147077i
$671$	10.4201	−	13.3940i	0.402263	−	0.517068i
$672$	4.53061	−	0.688186i	0.174772	−	0.0265473i
$673$	4.54195	−	6.25146i	0.175079	−	0.240976i	−0.712455	−	0.701718i	$-0.752417\pi$
$673$	4.54195	−	6.25146i	0.175079	−	0.240976i	0.887534	+	0.460742i	$0.152417\pi$
$674$	−4.99734	−	23.5107i	−0.192490	−	0.905597i
$675$	2.43323	−	5.92471i	0.0936549	−	0.228042i
$676$	3.44399	+	32.7674i	0.132461	+	1.26028i
$677$	−10.1920	−	4.53779i	−0.391712	−	0.174401i	0.201423	−	0.979504i	$-0.435443\pi$
$677$	−10.1920	−	4.53779i	−0.391712	−	0.174401i	−0.593135	+	0.805103i	$0.702110\pi$
$678$	1.55863	+	0.430564i	0.0598590	+	0.0165357i
$679$	−5.08160	−	0.526966i	−0.195014	−	0.0202231i
$680$	−5.01219	+	6.89869i	−0.192209	+	0.264553i
$681$	1.04572	−	17.3837i	0.0400721	−	0.666143i
$682$	1.99824	+	27.7532i	0.0765165	+	1.06273i
$683$	−17.1776	−	9.91747i	−0.657281	−	0.379481i	0.133959	−	0.990987i	$-0.457231\pi$
$683$	−17.1776	−	9.91747i	−0.657281	−	0.379481i	−0.791240	+	0.611505i	$0.790564\pi$
$684$	−0.414872	−	1.34731i	−0.0158630	−	0.0515156i
$685$	−12.3877	+	38.1254i	−0.473310	+	1.45670i
$686$	−18.4267	−	1.85917i	−0.703535	−	0.0709835i
$687$	31.3678	−	1.40109i	1.19675	−	0.0534548i
$688$	−1.43966	+	3.23352i	−0.0548864	+	0.123277i
$689$	−27.7702	−	5.90274i	−1.05796	−	0.224877i
$690$	−0.406424	−	2.70090i	−0.0154723	−	0.102822i
$691$	3.79008	−	36.0602i	0.144181	−	1.37179i	−0.648061	−	0.761588i	$-0.724420\pi$
$691$	3.79008	−	36.0602i	0.144181	−	1.37179i	0.792243	−	0.610206i	$-0.208913\pi$
$692$	−21.8290			−0.829815
$693$	−21.9993	+	14.4579i	−0.835685	+	0.549209i
$694$	−7.64636			−0.290252
$695$	0.775855	−	7.38177i	0.0294299	−	0.280006i
$696$	0.773949	+	5.14330i	0.0293364	+	0.194956i
$697$	−14.5526	−	3.09326i	−0.551220	−	0.117165i
$698$	−12.3362	+	27.7075i	−0.466932	+	1.04875i
$699$	−3.21861	+	0.143764i	−0.121739	+	0.00543765i
$700$	2.82656	+	1.62669i	0.106834	+	0.0614830i
$701$	−13.5723	+	41.7711i	−0.512617	+	1.57767i	0.274959	+	0.961456i	$0.411336\pi$
$701$	−13.5723	+	41.7711i	−0.512617	+	1.57767i	−0.787576	+	0.616217i	$0.788664\pi$
$702$	9.90188	−	33.8015i	0.373722	−	1.27576i
$703$	4.01695	+	2.31919i	0.151502	+	0.0874698i
$704$	2.13712	+	2.53628i	0.0805458	+	0.0955896i
$705$	−1.88488	+	31.3336i	−0.0709888	+	1.18009i
$706$	5.11919	−	7.04597i	0.192663	−	0.265178i
$707$	−21.3189	+	29.4288i	−0.801781	+	1.10679i
$708$	−5.03620	−	1.39122i	−0.189272	−	0.0522853i
$709$	9.34571	+	4.16098i	0.350985	+	0.156269i	0.574654	−	0.818396i	$-0.305137\pi$
$709$	9.34571	+	4.16098i	0.350985	+	0.156269i	−0.223669	+	0.974665i	$0.571803\pi$
$710$	−2.89012	−	27.4977i	−0.108464	−	1.03197i
$711$	22.0807	−	4.33807i	0.828093	−	0.162690i
$712$	2.86982	+	13.5014i	0.107551	+	0.505988i
$713$	−4.00636	+	5.51428i	−0.150039	+	0.206511i
$714$	12.5705	+	15.7259i	0.470438	+	0.588527i
$715$	−12.1143	−	41.9210i	−0.453050	−	1.56776i
$716$	−2.51123	+	1.44986i	−0.0938490	+	0.0541838i
$717$	−3.42974	−	0.570405i	−0.128086	−	0.0213022i
$718$	−2.85484	−	3.17062i	−0.106542	−	0.118327i
$719$	7.48582	+	6.74026i	0.279174	+	0.251369i	0.796808	−	0.604233i	$-0.206520\pi$
$719$	7.48582	+	6.74026i	0.279174	+	0.251369i	−0.517634	+	0.855602i	$0.673187\pi$
$720$	2.98900	−	4.99722i	0.111393	−	0.186236i
$721$	−1.12204	+	5.31505i	−0.0417869	+	0.197943i
$722$	5.80309	+	17.8601i	0.215969	+	0.664683i
$723$	7.52086	−	19.1491i	0.279704	−	0.712164i
$724$	−11.4443	+	5.09535i	−0.425325	+	0.189367i
$725$	−1.85073	+	3.20557i	−0.0687345	+	0.119052i
$726$	−17.2384	−	8.11402i	−0.639777	−	0.301140i
$727$	−18.1263			−0.672267			−0.336134	−	0.941814i	$-0.609119\pi$
$727$	−18.1263			−0.672267			−0.336134	+	0.941814i	$0.609119\pi$
$728$	16.3938	+	7.27174i	0.607595	+	0.269509i
$729$	−16.8650	+	21.0849i	−0.624630	+	0.780921i
$730$	10.2218	−	11.3524i	0.378325	−	0.420172i
$731$	−15.4650	+	1.62544i	−0.571993	+	0.0601189i
$732$	7.86499	+	4.08423i	0.290698	+	0.150957i
$733$	−26.3979	−	23.7688i	−0.975029	−	0.877920i	0.0175098	−	0.999847i	$-0.494426\pi$
$733$	−26.3979	−	23.7688i	−0.975029	−	0.877920i	−0.992539	+	0.121926i	$0.961093\pi$
$734$	7.27850	−	22.4009i	0.268654	−	0.826834i
$735$	−16.7225	+	16.5579i	−0.616818	+	0.610746i
$736$			0.812439i			0.0299469i
$737$	9.01842	−	9.37749i	0.332198	−	0.345424i
$738$	10.0861	+	1.21788i	0.371276	+	0.0448308i
$739$	−1.75174	−	3.93447i	−0.0644387	−	0.144732i	0.878455	−	0.477824i	$-0.158574\pi$
$739$	−1.75174	−	3.93447i	−0.0644387	−	0.144732i	−0.942894	+	0.333093i	$0.891908\pi$
$740$	3.98334	+	18.7401i	0.146430	+	0.688901i
$741$	1.46904	−	5.31791i	0.0539666	−	0.195358i
$742$	−7.40341	+	8.24531i	−0.271788	+	0.302695i
$743$	−36.8659	+	26.7846i	−1.35248	+	0.982632i	−0.353594	+	0.935399i	$0.615040\pi$
$743$	−36.8659	+	26.7846i	−1.35248	+	0.982632i	−0.998884	+	0.0472334i	$0.984960\pi$
$744$	−14.0647	+	3.65243i	−0.515636	+	0.133905i
$745$	−28.0426	+	25.2497i	−1.02740	+	0.925076i
$746$	15.2501	+	34.2523i	0.558347	+	1.25407i
$747$	9.56045	−	12.7403i	0.349799	−	0.466142i
$748$	−4.95528	+	13.7024i	−0.181183	+	0.501010i
$749$	2.61262	−	2.35899i	0.0954631	−	0.0861956i
$750$	19.6189	−	7.35767i	0.716382	−	0.268664i
$751$	−0.205029	+	0.0435803i	−0.00748163	+	0.00159027i	−0.211651	−	0.977345i	$-0.567884\pi$
$751$	−0.205029	+	0.0435803i	−0.00748163	+	0.00159027i	0.204169	+	0.978936i	$0.434551\pi$
$752$	1.94130	−	9.13311i	0.0707920	−	0.333050i
$753$	−17.9020	−	9.29637i	−0.652385	−	0.338779i
$754$	−8.27921	+	18.5954i	−0.301511	+	0.677205i
$755$	1.25121	+	3.85082i	0.0455361	+	0.140146i
$756$	−9.50708	−	9.93053i	−0.345769	−	0.361170i
$757$	7.94575	+	5.77293i	0.288793	+	0.209821i	0.722744	−	0.691116i	$-0.242881\pi$
$757$	7.94575	+	5.77293i	0.288793	+	0.209821i	−0.433950	+	0.900937i	$0.642881\pi$
$758$	6.84927	+	11.8633i	0.248777	+	0.430894i
$759$	−1.94843	−	4.24093i	−0.0707236	−	0.153936i
$760$	0.456043	−	0.789890i	0.0165424	−	0.0286523i
$761$	−1.63467	+	15.5529i	−0.0592568	+	0.563791i	0.924106	+	0.382137i	$0.124812\pi$
$761$	−1.63467	+	15.5529i	−0.0592568	+	0.563791i	−0.983363	+	0.181654i	$0.941855\pi$
$762$	−2.21961	−	2.78470i	−0.0804081	−	0.100879i
$763$	−47.1082	+	0.0653943i	−1.70543	+	0.00236743i
$764$	4.48159	+	6.16839i	0.162138	+	0.223164i
$765$	25.5787	+	0.395126i	0.924800	+	0.0142858i
$766$	5.09397	−	23.9652i	0.184052	−	0.865899i
$767$	−13.6822	−	15.1956i	−0.494034	−	0.548681i
$768$	−1.10038	+	1.33760i	−0.0397065	+	0.0482664i
$769$		−	8.36702i		−	0.301722i	−0.988555	−	0.150861i	$-0.951795\pi$
$769$		−	8.36702i		−	0.301722i	0.988555	−	0.150861i	$-0.0482047\pi$
$770$	−16.5402	−	4.06335i	−0.596066	−	0.146433i
$771$	23.2110	−	35.1446i	0.835924	−	1.26570i
$772$	15.2899	+	1.60703i	0.550295	+	0.0578383i
$773$	5.23164	−	4.71059i	0.188169	−	0.169428i	−0.569662	−	0.821879i	$-0.692926\pi$
$773$	5.23164	−	4.71059i	0.188169	−	0.169428i	0.757831	+	0.652451i	$0.226259\pi$
$774$	10.4194	−	2.04704i	0.374518	−	0.0735793i
$775$	−9.44716	−	4.20615i	−0.339352	−	0.151089i
$776$	1.56218	−	1.13499i	0.0560791	−	0.0407438i
$777$	45.1554	+	2.65344i	1.61994	+	0.0951916i
$778$	−18.0112	−	5.85218i	−0.645732	−	0.209811i
$779$	1.58263	+	0.166341i	0.0567035	+	0.00595978i
$780$	20.3839	−	10.1886i	0.729859	−	0.364809i
$781$	−17.7887	−	43.7684i	−0.636530	−	1.56616i
$782$	−3.09109	+	1.78464i	−0.110537	+	0.0638186i
$783$	11.2861	−	10.7748i	0.403331	−	0.385061i
$784$	5.65167	−	4.13020i	0.201845	−	0.147507i
$785$	0.336246	−	0.109253i	0.0120011	−	0.00389940i
$786$	−5.73206	−	8.97764i	−0.204456	−	0.320222i
$787$	−0.184282	+	0.0193688i	−0.00656893	+	0.000690423i	−0.107812	−	0.994171i	$-0.534385\pi$
$787$	−0.184282	+	0.0193688i	−0.00656893	+	0.000690423i	0.101243	+	0.994862i	$0.467718\pi$
$788$	−3.17658	−	0.675203i	−0.113161	−	0.0240531i
$789$	−49.1005	−	19.2843i	−1.74802	−	0.686539i
$790$	11.7786	+	8.55765i	0.419063	+	0.304467i
$791$	2.41534	−	0.516901i	0.0858794	−	0.0183789i
$792$	2.53608	−	9.62124i	0.0901157	−	0.341876i
$793$	17.3414	+	30.0362i	0.615812	+	1.06662i
$794$	8.68995	−	3.86901i	0.308395	−	0.137306i
$795$	2.09523	+	13.9239i	0.0743100	+	0.493829i
$796$	−11.3497	+	12.6051i	−0.402279	+	0.446776i
$797$	13.9137	+	19.1506i	0.492850	+	0.678350i	0.980910	−	0.194460i	$-0.0622954\pi$
$797$	13.9137	+	19.1506i	0.492850	+	0.678350i	−0.488060	+	0.872810i	$0.662295\pi$
$798$	−1.51301	−	1.53231i	−0.0535601	−	0.0542430i
$799$	39.0131	−	12.6761i	1.38018	−	0.448449i
$800$	−1.20569	+	0.256277i	−0.0426275	+	0.00906076i
$801$	28.1802	−	30.3414i	0.995698	−	1.07206i
$802$	−25.7943	−	14.8924i	−0.910830	−	0.525868i
$803$	11.3944	−	23.4849i	0.402101	−	0.828764i
$804$	5.66954	+	3.74441i	0.199949	+	0.132055i
$805$	−2.45701	−	3.37193i	−0.0865981	−	0.118845i
$806$	−54.0853	−	17.5734i	−1.90507	−	0.618996i
$807$	−3.79349	−	14.6078i	−0.133537	−	0.514220i
$808$	−1.43570	−	13.6598i	−0.0505077	−	0.480549i
$809$	−4.21338	−	40.0877i	−0.148135	−	1.40941i	−0.775827	−	0.630946i	$-0.782667\pi$
$809$	−4.21338	−	40.0877i	−0.148135	−	1.40941i	0.627692	−	0.778462i	$-0.284000\pi$
$810$	−17.4212	+	1.28850i	−0.612118	+	0.0452733i
$811$	−20.0802	−	6.52446i	−0.705112	−	0.229105i	−0.0655557	−	0.997849i	$-0.520882\pi$
$811$	−20.0802	−	6.52446i	−0.705112	−	0.229105i	−0.639557	+	0.768744i	$0.720882\pi$
$812$	4.67885	+	6.42113i	0.164196	+	0.225337i
$813$	−18.8399	+	28.5262i	−0.660745	+	1.00046i
$814$	15.4289	+	28.8737i	0.540783	+	1.01202i
$815$	−35.6268	−	20.5692i	−1.24795	−	0.720506i
$816$	−7.50630	−	1.24838i	−0.262773	−	0.0437021i
$817$	1.62692	−	0.345813i	0.0569188	−	0.0120985i
$818$	−11.2499	+	3.65531i	−0.393343	+	0.127805i
$819$	−10.4453	−	52.7789i	−0.364987	−	1.84424i
$820$	3.86354	+	5.31771i	0.134921	+	0.185702i
$821$	26.5963	−	29.5382i	0.928218	−	1.03089i	−0.0712231	−	0.997460i	$-0.522690\pi$
$821$	26.5963	−	29.5382i	0.928218	−	1.03089i	0.999441	−	0.0334301i	$-0.0106431\pi$
$822$	−35.3743	+	5.32302i	−1.23382	+	0.185662i
$823$	−4.60882	+	2.05198i	−0.160653	+	0.0715274i	−0.485488	−	0.874243i	$-0.661358\pi$
$823$	−4.60882	+	2.05198i	−0.160653	+	0.0715274i	0.324835	+	0.945771i	$0.394691\pi$
$824$	−1.02659	−	1.77810i	−0.0357629	−	0.0619431i
$825$	5.67908	−	4.22931i	0.197720	−	0.147246i
$826$	−7.80434	+	1.67019i	−0.271548	+	0.0581133i
$827$	28.4600	+	20.6774i	0.989650	+	0.719023i	0.959844	−	0.280533i	$-0.0905111\pi$
$827$	28.4600	+	20.6774i	0.989650	+	0.719023i	0.0298059	+	0.999556i	$0.490511\pi$
$828$	1.99372	−	1.40199i	0.0692867	−	0.0487226i
$829$	49.4799	+	10.5173i	1.71851	+	0.365280i	0.958601	−	0.284751i	$-0.0919110\pi$
$829$	49.4799	+	10.5173i	1.71851	+	0.365280i	0.759907	+	0.650031i	$0.225244\pi$
$830$	10.2491	−	1.07723i	0.355753	−	0.0373911i
$831$	13.1181	−	8.37564i	0.455060	−	0.290548i
$832$	−6.44672	+	2.09467i	−0.223500	+	0.0726195i
$833$	28.1289	+	12.4303i	0.974609	+	0.430686i
$834$	6.20171	−	2.32582i	0.214748	−	0.0805366i
$835$	−6.77952	+	3.91416i	−0.234615	+	0.135455i
$836$	0.373920	−	1.51300i	0.0129323	−	0.0523283i
$837$	33.2339	+	28.2118i	1.14873	+	0.975143i
$838$	−13.7635	−	1.44661i	−0.475454	−	0.0499722i
$839$	34.4139	+	11.1818i	1.18810	+	0.386037i	0.835370	−	0.549688i	$-0.185253\pi$
$839$	34.4139	+	11.1818i	1.18810	+	0.386037i	0.352730	+	0.935725i	$0.385253\pi$
$840$	0.521770	−	8.87934i	0.0180028	−	0.306366i
$841$	16.1662	−	11.7454i	0.557454	−	0.405014i
$842$	−15.3490	−	6.83383i	−0.528963	−	0.235509i
$843$	−0.432668	−	0.439403i	−0.0149019	−	0.0151338i
$844$	4.75241	−	4.27909i	0.163585	−	0.147292i
$845$	63.6005	+	6.68469i	2.18792	+	0.229960i
$846$	−25.7626	+	10.9967i	−0.885738	+	0.378073i
$847$	−29.0795	+	1.17605i	−0.999183	+	0.0404097i
$848$		−	4.18834i		−	0.143828i
$849$	18.8757	+	15.5281i	0.647811	+	0.532923i
$850$	−3.62353	−	4.02433i	−0.124286	−	0.138034i
$851$	−1.66732	+	7.84412i	−0.0571549	+	0.268893i
$852$	20.7957	−	13.2777i	0.712449	−	0.454886i
$853$	6.35392	+	8.74541i	0.217554	+	0.299437i	0.903820	−	0.427914i	$-0.140751\pi$
$853$	6.35392	+	8.74541i	0.217554	+	0.299437i	−0.686266	+	0.727351i	$0.740751\pi$
$854$	13.5372	−	0.0187920i	0.463235	−	0.000643050i
$855$	−2.72536	+	0.243951i	−0.0932055	+	0.00834296i
$856$	−0.139070	+	1.32316i	−0.00475330	+	0.0452246i
$857$	−12.9395	+	22.4118i	−0.442004	+	0.765574i	−0.997838	−	0.0657197i	$-0.979066\pi$
$857$	−12.9395	+	22.4118i	−0.442004	+	0.765574i	0.555834	+	0.831293i	$0.312399\pi$
$858$	28.6283	−	26.3950i	0.977356	−	0.901111i
$859$	5.09217	+	8.81990i	0.173743	+	0.300931i	0.939725	−	0.341930i	$-0.111081\pi$
$859$	5.09217	+	8.81990i	0.173743	+	0.300931i	−0.765983	+	0.642861i	$0.777747\pi$
$860$	5.55805	+	4.03816i	0.189528	+	0.137700i
$861$	14.5229	−	5.46953i	0.494941	−	0.186401i
$862$	6.98673	+	21.5030i	0.237969	+	0.732393i
$863$	13.1619	−	29.5621i	0.448036	−	1.00631i	−0.538480	−	0.842639i	$-0.681001\pi$
$863$	13.1619	−	29.5621i	0.448036	−	1.00631i	0.986516	−	0.163667i	$-0.0523322\pi$
$864$	5.18134	+	0.392088i	0.176273	+	0.0133391i
$865$	−8.80912	+	41.4437i	−0.299519	+	1.40913i
$866$	−9.42686	+	2.00374i	−0.320338	+	0.0680899i
$867$	−1.39947	−	3.73164i	−0.0475285	−	0.126733i
$868$	−16.4748	+	14.8754i	−0.559190	+	0.504904i
$869$	23.3950	+	8.46048i	0.793622	+	0.287002i
$870$	10.0772	+	0.606197i	0.341648	+	0.0205520i
$871$	10.8153	+	24.2916i	0.366462	+	0.823088i
$872$	13.2319	−	11.9140i	0.448088	−	0.403460i
$873$	−5.48106	−	1.87498i	−0.185506	−	0.0634586i
$874$	0.308862	−	0.224402i	0.0104474	−	0.00759050i
$875$	21.3836	−	23.8152i	0.722896	−	0.805102i
$876$	13.1398	+	3.62979i	0.443952	+	0.122639i
$877$	−6.66011	−	31.3334i	−0.224896	−	1.05805i	−0.935190	−	0.354147i	$-0.884771\pi$
$877$	−6.66011	−	31.3334i	−0.224896	−	1.05805i	0.710294	−	0.703906i	$-0.248562\pi$
$878$	15.2059	+	34.1529i	0.513173	+	1.15260i
$879$	−5.93161	+	2.96483i	−0.200068	+	0.100001i
$880$	5.67771	−	3.03393i	0.191396	−	0.102274i
$881$			14.3791i			0.484443i	0.970221	+	0.242222i	$0.0778761\pi$
$881$			14.3791i			0.484443i	−0.970221	+	0.242222i	$0.922124\pi$
$882$	−19.8884	−	6.74187i	−0.669676	−	0.227011i
$883$	−14.8097	+	45.5797i	−0.498387	+	1.53388i	0.313223	+	0.949679i	$0.398591\pi$
$883$	−14.8097	+	45.5797i	−0.498387	+	1.53388i	−0.811611	+	0.584199i	$0.801409\pi$
$884$	−22.1307	−	19.9266i	−0.744337	−	0.670204i
$885$	−4.67368	+	9.00009i	−0.157104	+	0.302535i
$886$	−23.9588	+	2.51817i	−0.804910	+	0.0845995i
$887$	12.9752	−	14.4104i	0.435663	−	0.483853i	−0.484832	−	0.874607i	$-0.661119\pi$
$887$	12.9752	−	14.4104i	0.435663	−	0.483853i	0.920495	+	0.390755i	$0.127786\pi$
$888$	−13.3692	+	10.6563i	−0.448643	+	0.357602i
$889$	−4.97241	−	2.20559i	−0.166769	−	0.0739732i
$890$	26.7914			0.898049
$891$	−27.9869	+	10.3794i	−0.937597	+	0.347724i
$892$	−6.97798	+	12.0862i	−0.233640	+	0.404676i
$893$	−4.00831	+	1.78461i	−0.134133	+	0.0597198i
$894$	−31.3426	−	12.3099i	−1.04825	−	0.411704i
$895$	1.73923	+	5.35280i	0.0581361	+	0.178925i
$896$	−0.546490	+	2.58870i	−0.0182569	+	0.0864823i
$897$	9.52908	−	0.425630i	0.318167	−	0.0142114i
$898$	7.97928	+	7.18458i	0.266272	+	0.239753i
$899$	−16.8575	−	18.7222i	−0.562231	−	0.624420i
$900$	2.70951	+	2.51651i	0.0903170	+	0.0838837i
$901$	15.9354	−	9.20030i	0.530885	−	0.306507i
$902$	8.86491	+	6.89662i	0.295169	+	0.229632i
$903$	12.6698	−	10.1276i	0.421626	−	0.337026i
$904$	−0.548746	+	0.755284i	−0.0182510	+	0.0251204i
$905$	5.05544	+	23.7840i	0.168048	+	0.790606i
$906$	−2.57455	+	2.53509i	−0.0855338	+	0.0842227i
$907$	3.16393	+	30.1027i	0.105056	+	0.999545i	0.912355	+	0.409401i	$0.134262\pi$
$907$	3.16393	+	30.1027i	0.105056	+	0.999545i	−0.807298	+	0.590144i	$0.799071\pi$
$908$	9.18533	+	4.08957i	0.304826	+	0.135717i
$909$	−31.0435	+	27.0953i	−1.02965	+	0.898694i
$910$	20.4216	−	28.1901i	0.676968	−	0.934491i
$911$	−3.81440	+	5.25007i	−0.126377	+	0.173943i	−0.867517	−	0.497408i	$-0.834285\pi$
$911$	−3.81440	+	5.25007i	−0.126377	+	0.173943i	0.741140	+	0.671350i	$0.234285\pi$
$912$	0.812443	+	0.0488728i	0.0269027	+	0.00161834i
$913$	16.3137	−	6.63034i	0.539905	−	0.219432i
$914$	−9.33121	−	5.38738i	−0.308649	−	0.178199i
$915$	10.9281	−	13.2839i	0.361271	−	0.439153i
$916$	−5.60193	+	17.2410i	−0.185093	+	0.569658i
$917$	−14.1019	−	8.11566i	−0.465686	−	0.268003i
$918$	9.88978	+	20.5747i	0.326411	+	0.679067i
$919$	14.2157	−	31.9290i	0.468932	−	1.05324i	−0.512017	−	0.858975i	$-0.671102\pi$
$919$	14.2157	−	31.9290i	0.468932	−	1.05324i	0.980949	−	0.194264i	$-0.0622318\pi$
$920$	1.54246	+	0.327860i	0.0508535	+	0.0108092i
$921$	−29.7273	+	4.47329i	−0.979549	+	0.147400i
$922$	1.66003	−	15.7941i	0.0546701	−	0.520152i
$923$	96.5594			3.17829
$924$	−3.35566	−	14.8236i	−0.110393	−	0.487661i
$925$	−12.1669			−0.400045
$926$	1.38243	−	13.1530i	0.0454295	−	0.432233i
$927$	−2.59192	+	5.58764i	−0.0851298	+	0.183522i
$928$	−2.93730	−	0.624341i	−0.0964214	−	0.0204950i
$929$	0.382239	−	0.858523i	0.0125409	−	0.0281672i	−0.907166	−	0.420772i	$-0.861759\pi$
$929$	0.382239	−	0.858523i	0.0125409	−	0.0281672i	0.919707	+	0.392605i	$0.128426\pi$
$930$	1.25854	+	28.1765i	0.0412693	+	0.923945i
$931$	−3.13120	−	1.00779i	−0.102621	−	0.0330289i
$932$	0.574809	−	1.76908i	0.0188285	−	0.0579481i
$933$	33.3347	+	27.4228i	1.09133	+	0.897784i
$934$	−24.2348	−	13.9920i	−0.792987	−	0.457831i
$935$	24.0151	+	14.9375i	0.785378	+	0.488509i
$936$	16.2651	+	12.2056i	0.531643	+	0.398951i
$937$	−5.14267	+	7.07828i	−0.168004	+	0.231237i	−0.884715	−	0.466133i	$-0.845647\pi$
$937$	−5.14267	+	7.07828i	−0.168004	+	0.231237i	0.716711	+	0.697370i	$0.245647\pi$
$938$	10.3233	+	1.07054i	0.337068	+	0.0349543i
$939$	12.5306	−	45.3607i	0.408922	−	1.48029i
$940$	−16.5563	−	7.37135i	−0.540008	−	0.240427i
$941$	4.83917	+	46.0416i	0.157752	+	1.50091i	0.731477	+	0.681866i	$0.238831\pi$
$941$	4.83917	+	46.0416i	0.157752	+	1.50091i	−0.573725	+	0.819048i	$0.694502\pi$
$942$	0.221359	+	0.224805i	0.00721226	+	0.00732453i
$943$	0.572027	+	2.69118i	0.0186278	+	0.0876368i
$944$	1.77309	−	2.44044i	0.0577091	−	0.0794297i
$945$	−22.6903	+	14.0423i	−0.738115	+	0.456795i
$946$	11.0396	+	3.99231i	0.358928	+	0.129801i
$947$	2.63604	−	1.52192i	0.0856597	−	0.0494557i	−0.456558	−	0.889693i	$-0.650918\pi$
$947$	2.63604	−	1.52192i	0.0856597	−	0.0494557i	0.542218	+	0.840238i	$0.317585\pi$
$948$	−2.13144	+	12.8160i	−0.0692260	+	0.416244i
$949$	35.6976	+	39.6462i	1.15879	+	1.28697i
$950$	0.430448	+	0.387577i	0.0139656	+	0.0125747i
$951$	−0.0214247	−	0.479659i	−0.000694742	−	0.0155540i
$952$	−11.0497	+	3.60722i	−0.358121	+	0.116911i
$953$	−10.5105	−	32.3479i	−0.340468	−	1.04785i	−0.963966	−	0.266027i	$-0.914289\pi$
$953$	−10.5105	−	32.3479i	−0.340468	−	1.04785i	0.623498	−	0.781825i	$-0.285711\pi$
$954$	−10.2782	+	7.22765i	−0.332769	+	0.234004i
$955$	13.5196	−	6.01931i	0.437484	−	0.194780i
$956$	1.00368	−	1.73843i	0.0324614	−	0.0562247i
$957$	16.8300	−	3.78531i	0.544037	−	0.122362i
$958$	15.2392			0.492355
$959$	−44.1628	+	32.1799i	−1.42609	+	1.03914i
$960$	2.09545	+	2.62892i	0.0676303	+	0.0848480i
$961$	26.3537	−	29.2688i	0.850120	−	0.944154i
$962$	−66.5420	+	6.99385i	−2.14540	+	0.225491i
$963$	3.48701	−	1.94204i	0.112367	−	0.0625814i
$964$	8.82699	+	7.94786i	0.284298	+	0.255983i
$965$	9.22129	−	28.3802i	0.296844	−	0.913591i
$966$	1.71122	−	3.30650i	0.0550575	−	0.106385i
$967$			37.6464i			1.21063i	0.795988	+	0.605313i	$0.206952\pi$
$967$			37.6464i			1.21063i	−0.795988	+	0.605313i	$0.793048\pi$
$968$	7.88114	−	7.67382i	0.253310	−	0.246646i
$969$	1.59870	+	3.19846i	0.0513577	+	0.102749i
$970$	−1.52443	−	3.42392i	−0.0489464	−	0.109935i
$971$	2.01211	+	9.46621i	0.0645715	+	0.303785i	0.998568	−	0.0534970i	$-0.0170368\pi$
$971$	2.01211	+	9.46621i	0.0645715	+	0.303785i	−0.933996	+	0.357282i	$0.883703\pi$
$972$	−7.97903	−	13.3916i	−0.255928	−	0.429536i
$973$	6.75952	−	7.52820i	0.216700	−	0.241343i
$974$	8.04505	−	5.84507i	0.257780	−	0.187288i
$975$	3.63752	+	14.0072i	0.116494	+	0.448591i
$976$	−3.80238	+	3.42368i	−0.121711	+	0.109589i
$977$	−8.93454	−	20.0673i	−0.285841	−	0.642010i	0.712369	−	0.701805i	$-0.247622\pi$
$977$	−8.93454	−	20.0673i	−0.285841	−	0.642010i	−0.998211	+	0.0597946i	$0.980955\pi$
$978$	2.20434	−	36.6440i	0.0704869	−	1.17175i
$979$	43.9801	−	12.7093i	1.40561	−	0.406192i
$980$	−5.56069	−	12.3968i	−0.177630	−	0.396001i
$981$	−52.0707	−	11.9114i	−1.66249	−	0.380303i
$982$	−5.09122	+	1.08217i	−0.162467	+	0.0345335i
$983$	0.287220	−	1.35126i	0.00916089	−	0.0430986i	−0.973330	−	0.229411i	$-0.926320\pi$
$983$	0.287220	−	1.35126i	0.00916089	−	0.0430986i	0.982491	+	0.186312i	$0.0596535\pi$
$984$	−2.70318	+	5.20551i	−0.0861743	+	0.165946i
$985$	−2.56382	+	5.75844i	−0.0816902	+	0.183479i
$986$	−4.07676	−	12.5470i	−0.129831	−	0.399577i
$987$	−27.1376	+	33.0814i	−0.863799	+	1.05299i
$988$	2.57696	+	1.87227i	0.0819839	+	0.0595648i
$989$	1.43783	+	2.49039i	0.0457202	+	0.0791897i
$990$	−17.2430	−	8.69755i	−0.548020	−	0.276426i
$991$	12.0363	−	20.8475i	0.382347	−	0.662244i	−0.609050	−	0.793131i	$-0.708449\pi$
$991$	12.0363	−	20.8475i	0.382347	−	0.662244i	0.991397	+	0.130887i	$0.0417827\pi$
$992$	0.876950	−	8.34362i	0.0278432	−	0.264910i
$993$	−22.1034	+	17.6181i	−0.701432	+	0.559094i
$994$	18.7990	−	32.6655i	0.596268	−	1.03609i
$995$	19.3513	+	26.6348i	0.613479	+	0.844381i
$996$	4.94896	+	7.75113i	0.156814	+	0.245604i
$997$	10.7861	−	50.7446i	0.341599	−	1.60710i	−0.386948	−	0.922101i	$-0.626471\pi$
$997$	10.7861	−	50.7446i	0.341599	−	1.60710i	0.728547	−	0.684995i	$-0.240196\pi$
$998$	−7.12044	−	7.90805i	−0.225394	−	0.250325i
$999$	49.2213	+	14.4190i	1.55729	+	0.456196i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.bc.b.95.9	yes	128
3.2	odd	2		462.2.bc.a.95.15	✓	128
7.2	even	3	inner	462.2.bc.b.359.2	yes	128
11.8	odd	10		462.2.bc.a.305.4	yes	128
21.2	odd	6		462.2.bc.a.359.4	yes	128
33.8	even	10	inner	462.2.bc.b.305.2	yes	128
77.30	odd	30		462.2.bc.a.107.15	yes	128
231.107	even	30	inner	462.2.bc.b.107.9	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.bc.a.95.15	✓	128	3.2	odd	2
462.2.bc.a.107.15	yes	128	77.30	odd	30
462.2.bc.a.305.4	yes	128	11.8	odd	10
462.2.bc.a.359.4	yes	128	21.2	odd	6
462.2.bc.b.95.9	yes	128	1.1	even	1	trivial
462.2.bc.b.107.9	yes	128	231.107	even	30	inner
462.2.bc.b.305.2	yes	128	33.8	even	10	inner
462.2.bc.b.359.2	yes	128	7.2	even	3	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.bc (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.104528 + 0.994522i) q^{2} +(0.257732 + 1.71277i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.789465 + 1.77317i) q^{5} +(-1.73033 + 0.0772875i) q^{6} +(-2.28945 + 1.32606i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86715 + 0.882871i) q^{9} +O(q^{10})\)	\(q+(-0.104528 + 0.994522i) q^{2} +(0.257732 + 1.71277i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.789465 + 1.77317i) q^{5} +(-1.73033 + 0.0772875i) q^{6} +(-2.28945 + 1.32606i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86715 + 0.882871i) q^{9} +(-1.68093 - 0.970486i) q^{10} +(-3.21976 - 0.795724i) q^{11} +(0.104004 - 1.72893i) q^{12} +(3.98429 - 5.48391i) q^{13} +(-1.07948 - 2.41552i) q^{14} +(-3.24049 - 0.895167i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.459224 + 4.36922i) q^{17} +(-0.578336 - 2.94373i) q^{18} +(-0.0977002 - 0.459644i) q^{19} +(1.14088 - 1.57028i) q^{20} +(-2.86129 - 3.57953i) q^{21} +(1.12792 - 3.11894i) q^{22} +(0.703593 - 0.406219i) q^{23} +(1.70858 + 0.284156i) q^{24} +(0.824787 + 0.916019i) q^{25} +(5.03740 + 4.53569i) q^{26} +(-2.25111 - 4.68321i) q^{27} +(2.51512 - 0.821074i) q^{28} +(0.927952 + 2.85594i) q^{29} +(1.22899 - 3.12917i) q^{30} +(-7.66426 + 3.41235i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.533055 - 5.71978i) q^{33} -4.39329 q^{34} +(-0.543877 - 5.10645i) q^{35} +(2.98805 - 0.267465i) q^{36} +(-6.60480 + 7.33538i) q^{37} +(0.467338 - 0.0491192i) q^{38} +(10.4195 + 5.41079i) q^{39} +(1.44242 + 1.29876i) q^{40} +(-1.04648 + 3.22072i) q^{41} +(3.85901 - 2.47145i) q^{42} +3.53953i q^{43} +(2.98396 + 1.44776i) q^{44} +(0.698034 - 5.78093i) q^{45} +(0.330449 + 0.742200i) q^{46} +(-1.94130 - 9.13311i) q^{47} +(-0.461195 + 1.66952i) q^{48} +(3.48316 - 6.07187i) q^{49} +(-0.997214 + 0.724519i) q^{50} +(-7.36511 + 1.91263i) q^{51} +(-5.03740 + 4.53569i) q^{52} +(-1.70355 - 3.82624i) q^{53} +(4.89286 - 1.74925i) q^{54} +(3.95283 - 5.08097i) q^{55} +(0.553675 + 2.58717i) q^{56} +(0.762082 - 0.285803i) q^{57} +(-2.93730 + 0.624341i) q^{58} +(0.627177 - 2.95064i) q^{59} +(2.98357 + 1.54934i) q^{60} +(-2.08111 + 4.67425i) q^{61} +(-2.59252 - 7.97896i) q^{62} +(5.39345 - 5.82329i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(6.57843 + 11.3942i) q^{65} +(5.63272 + 1.12801i) q^{66} +(-1.96138 + 3.39722i) q^{67} +(0.459224 - 4.36922i) q^{68} +(0.877098 + 1.10040i) q^{69} +(5.13533 - 0.00712871i) q^{70} +(8.37299 + 11.5244i) q^{71} +(-0.0463369 + 2.99964i) q^{72} +(-1.63635 + 7.69840i) q^{73} +(-6.60480 - 7.33538i) q^{74} +(-1.35635 + 1.64876i) q^{75} +0.469912i q^{76} +(8.42664 - 2.44780i) q^{77} +(-6.47029 + 9.79688i) q^{78} +(-7.45986 - 0.784063i) q^{79} +(-1.44242 + 1.29876i) q^{80} +(7.44108 - 5.06265i) q^{81} +(-3.09369 - 1.37740i) q^{82} +(-4.29547 + 3.12084i) q^{83} +(2.05454 + 4.09620i) q^{84} +(-8.10990 - 2.63507i) q^{85} +(-3.52014 - 0.369981i) q^{86} +(-4.65240 + 2.32544i) q^{87} +(-1.75174 + 2.81628i) q^{88} +(-11.9538 + 6.90154i) q^{89} +(5.67629 + 1.29848i) q^{90} +(-1.84987 + 17.8385i) q^{91} +(-0.772675 + 0.251057i) q^{92} +(-7.81989 - 12.2476i) q^{93} +(9.28600 - 0.975997i) q^{94} +(0.892156 + 0.189634i) q^{95} +(-1.61217 - 0.633181i) q^{96} +(1.56218 + 1.13499i) q^{97} +(5.67452 + 4.09876i) q^{98} +(9.93404 - 0.561173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

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