LMFDB - Embedded newform 462.2.bc.a.107.15

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			107.15
Character	$\chi$	$=$	462.107
Dual form			462.2.bc.a.95.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.104528 + 0.994522i) q^{2} +(1.67644 - 0.435353i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.789465 + 1.77317i) q^{5} +(0.608205 + 1.62175i) q^{6} +(-2.28945 - 1.32606i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.62093 - 1.45969i) q^{9} +O(q^{10})$	\(q+(0.104528 + 0.994522i) q^{2} +(1.67644 - 0.435353i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.789465 + 1.77317i) q^{5} +(0.608205 + 1.62175i) q^{6} +(-2.28945 - 1.32606i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.62093 - 1.45969i) q^{9} +(-1.68093 + 0.970486i) q^{10} +(3.21976 - 0.795724i) q^{11} +(-1.54930 + 0.774392i) q^{12} +(3.98429 + 5.48391i) q^{13} +(1.07948 - 2.41552i) q^{14} +(2.09545 + 2.62892i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.459224 + 4.36922i) q^{17} +(1.72566 + 2.45400i) q^{18} +(-0.0977002 + 0.459644i) q^{19} +(-1.14088 - 1.57028i) q^{20} +(-4.41544 - 1.22634i) q^{21} +(1.12792 + 3.11894i) q^{22} +(-0.703593 - 0.406219i) q^{23} +(-0.932096 - 1.45986i) q^{24} +(0.824787 - 0.916019i) q^{25} +(-5.03740 + 4.53569i) q^{26} +(3.75837 - 3.58813i) q^{27} +(2.51512 + 0.821074i) q^{28} +(-0.927952 + 2.85594i) q^{29} +(-2.39548 + 2.35877i) q^{30} +(-7.66426 - 3.41235i) q^{31} +(0.500000 + 0.866025i) q^{32} +(5.05132 - 2.73572i) q^{33} -4.39329 q^{34} +(0.543877 - 5.10645i) q^{35} +(-2.26017 + 1.97272i) q^{36} +(-6.60480 - 7.33538i) q^{37} +(-0.467338 - 0.0491192i) q^{38} +(9.06689 + 7.45889i) q^{39} +(1.44242 - 1.29876i) q^{40} +(1.04648 + 3.22072i) q^{41} +(0.758082 - 4.51944i) q^{42} -3.53953i q^{43} +(-2.98396 + 1.44776i) q^{44} +(4.65741 + 3.49498i) q^{45} +(0.330449 - 0.742200i) q^{46} +(1.94130 - 9.13311i) q^{47} +(1.35443 - 1.07959i) q^{48} +(3.48316 + 6.07187i) q^{49} +(0.997214 + 0.724519i) q^{50} +(1.13229 + 7.52468i) q^{51} +(-5.03740 - 4.53569i) q^{52} +(1.70355 - 3.82624i) q^{53} +(3.96133 + 3.36272i) q^{54} +(3.95283 + 5.08097i) q^{55} +(-0.553675 + 2.58717i) q^{56} +(0.0363183 + 0.813101i) q^{57} +(-2.93730 - 0.624341i) q^{58} +(-0.627177 - 2.95064i) q^{59} +(-2.59624 - 2.13580i) q^{60} +(-2.08111 - 4.67425i) q^{61} +(2.59252 - 7.97896i) q^{62} +(-7.93613 - 0.133613i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-6.57843 + 11.3942i) q^{65} +(3.24874 + 4.73769i) q^{66} +(-1.96138 - 3.39722i) q^{67} +(-0.459224 - 4.36922i) q^{68} +(-1.35638 - 0.374693i) q^{69} +(5.13533 + 0.00712871i) q^{70} +(-8.37299 + 11.5244i) q^{71} +(-2.19816 - 2.04159i) q^{72} +(-1.63635 - 7.69840i) q^{73} +(6.60480 - 7.33538i) q^{74} +(0.983918 - 1.89473i) 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} +(4.73860 - 7.65152i) q^{81} +(-3.09369 + 1.37740i) q^{82} +(4.29547 + 3.12084i) q^{83} +(4.57392 + 0.281519i) q^{84} +(-8.10990 + 2.63507i) q^{85} +(3.52014 - 0.369981i) q^{86} +(-0.312316 + 5.19182i) q^{87} +(-1.75174 - 2.81628i) q^{88} +(11.9538 + 6.90154i) q^{89} +(-2.98900 + 4.99722i) q^{90} +(-1.84987 - 17.8385i) q^{91} +(0.772675 + 0.251057i) q^{92} +(-14.3343 - 2.38395i) q^{93} +(9.28600 + 0.975997i) q^{94} +(-0.892156 + 0.189634i) q^{95} +(1.21525 + 1.23417i) q^{96} +(1.56218 - 1.13499i) q^{97} +(-5.67452 + 4.09876i) q^{98} +(7.27726 - 6.78539i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 q^{9}+O(q^{10}) $ 128 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 4 * q^9	$ 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 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} - 4 q^{33} - 16 q^{34} + 31 q^{35} + 8 q^{36} + 2 q^{37} + 22 q^{39} + 5 q^{40} - 16 q^{41} + 17 q^{42} + q^{44} + 28 q^{45} + 38 q^{49} - 34 q^{50} + 16 q^{51} - 25 q^{53} + 6 q^{54} - 42 q^{55} + 20 q^{57} - 19 q^{58} - 40 q^{59} - 4 q^{60} + 40 q^{61} + 4 q^{62} + 6 q^{63} - 32 q^{64} - 20 q^{65} - 41 q^{66} + 16 q^{67} + 2 q^{68} - 68 q^{69} - 21 q^{70} - 80 q^{71} - 16 q^{72} + 10 q^{73} - 2 q^{74} - 14 q^{75} - q^{77} - 16 q^{78} + 5 q^{80} - 88 q^{81} - 8 q^{82} + 92 q^{83} - 48 q^{84} - 100 q^{85} + 40 q^{86} + 38 q^{87} - q^{88} - 164 q^{90} + 12 q^{91} + 20 q^{92} + 47 q^{93} + 40 q^{94} - 38 q^{95} - 16 q^{97} - 18 q^{98} - 138 q^{99}+O(q^{100}) $ 128 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 4 * 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 - 4 * q^33 - 16 * q^34 + 31 * q^35 + 8 * q^36 + 2 * q^37 + 22 * q^39 + 5 * q^40 - 16 * q^41 + 17 * q^42 + q^44 + 28 * q^45 + 38 * q^49 - 34 * q^50 + 16 * q^51 - 25 * q^53 + 6 * q^54 - 42 * q^55 + 20 * q^57 - 19 * q^58 - 40 * q^59 - 4 * q^60 + 40 * q^61 + 4 * q^62 + 6 * q^63 - 32 * q^64 - 20 * q^65 - 41 * q^66 + 16 * q^67 + 2 * q^68 - 68 * q^69 - 21 * q^70 - 80 * q^71 - 16 * q^72 + 10 * q^73 - 2 * q^74 - 14 * q^75 - q^77 - 16 * q^78 + 5 * q^80 - 88 * q^81 - 8 * q^82 + 92 * q^83 - 48 * q^84 - 100 * q^85 + 40 * q^86 + 38 * q^87 - q^88 - 164 * q^90 + 12 * q^91 + 20 * q^92 + 47 * q^93 + 40 * q^94 - 38 * q^95 - 16 * q^97 - 18 * q^98 - 138 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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
$3$	1.67644	−	0.435353i	0.967896	−	0.251351i
$3$	1.67644	−	0.435353i	0.967896	−	0.251351i
$4$	−0.978148	+	0.207912i	−0.489074	+	0.103956i
$5$	0.789465	+	1.77317i	0.353059	+	0.792984i	0.999548	+	0.0300608i	$0.00957008\pi$
$5$	0.789465	+	1.77317i	0.353059	+	0.792984i	−0.646489	+	0.762924i	$0.723763\pi$
$6$	0.608205	+	1.62175i	0.248299	+	0.662078i
$7$	−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
$9$	2.62093	−	1.45969i	0.873645	−	0.486564i
$10$	−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
$12$	−1.54930	+	0.774392i	−0.447243	+	0.223548i
$13$	3.98429	+	5.48391i	1.10504	+	1.52096i	0.828523	+	0.559955i	$0.189181\pi$
$13$	3.98429	+	5.48391i	1.10504	+	1.52096i	0.276521	+	0.961008i	$0.410819\pi$
$14$	1.07948	−	2.41552i	0.288503	−	0.645574i
$15$	2.09545	+	2.62892i	0.541042	+	0.678784i
$16$	0.913545	−	0.406737i	0.228386	−	0.101684i
$17$	−0.459224	+	4.36922i	−0.111378	+	1.05969i	0.785939	+	0.618305i	$0.212180\pi$
$17$	−0.459224	+	4.36922i	−0.111378	+	1.05969i	−0.897317	+	0.441387i	$0.854486\pi$
$18$	1.72566	+	2.45400i	0.406742	+	0.578413i
$19$	−0.0977002	+	0.459644i	−0.0224140	+	0.105449i	−0.987933	−	0.154885i	$-0.950499\pi$
$19$	−0.0977002	+	0.459644i	−0.0224140	+	0.105449i	0.965519	+	0.260334i	$0.0838327\pi$
$20$	−1.14088	−	1.57028i	−0.255107	−	0.351125i
$21$	−4.41544	−	1.22634i	−0.963528	−	0.267609i
$22$	1.12792	+	3.11894i	0.240473	+	0.664961i
$23$	−0.703593	−	0.406219i	−0.146709	−	0.0847026i	0.424849	−	0.905264i	$-0.360327\pi$
$23$	−0.703593	−	0.406219i	−0.146709	−	0.0847026i	−0.571558	+	0.820562i	$0.693661\pi$
$24$	−0.932096	−	1.45986i	−0.190263	−	0.297993i
$25$	0.824787	−	0.916019i	0.164957	−	0.183204i
$26$	−5.03740	+	4.53569i	−0.987914	+	0.889522i
$27$	3.75837	−	3.58813i	0.723299	−	0.690535i
$28$	2.51512	+	0.821074i	0.475313	+	0.155168i
$29$	−0.927952	+	2.85594i	−0.172316	+	0.530335i	−0.999501	−	0.0315953i	$-0.989941\pi$
$29$	−0.927952	+	2.85594i	−0.172316	+	0.530335i	0.827184	+	0.561931i	$0.189941\pi$
$30$	−2.39548	+	2.35877i	−0.437354	+	0.430650i
$31$	−7.66426	−	3.41235i	−1.37654	−	0.612876i	−0.420819	−	0.907145i	$-0.638257\pi$
$31$	−7.66426	−	3.41235i	−1.37654	−	0.612876i	−0.955723	+	0.294269i	$0.904924\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	5.05132	−	2.73572i	0.879322	−	0.476227i
$34$	−4.39329			−0.753443
$35$	0.543877	−	5.10645i	0.0919321	−	0.863147i
$36$	−2.26017	+	1.97272i	−0.376696	+	0.328786i
$37$	−6.60480	−	7.33538i	−1.08582	−	1.20593i	−0.977306	−	0.211834i	$-0.932056\pi$
$37$	−6.60480	−	7.33538i	−1.08582	−	1.20593i	−0.108517	−	0.994095i	$-0.534610\pi$
$38$	−0.467338	−	0.0491192i	−0.0758122	−	0.00796819i
$39$	9.06689	+	7.45889i	1.45186	+	1.19438i
$40$	1.44242	−	1.29876i	0.228067	−	0.205353i
$41$	1.04648	+	3.22072i	0.163432	+	0.502993i	0.998917	−	0.0465204i	$-0.0148132\pi$
$41$	1.04648	+	3.22072i	0.163432	+	0.502993i	−0.835485	+	0.549513i	$0.814813\pi$
$42$	0.758082	−	4.51944i	0.116975	−	0.697364i
$43$		−	3.53953i		−	0.539773i	−0.962892	−	0.269886i	$-0.913014\pi$
$43$		−	3.53953i		−	0.539773i	0.962892	−	0.269886i	$-0.0869862\pi$
$44$	−2.98396	+	1.44776i	−0.449848	+	0.218258i
$45$	4.65741	+	3.49498i	0.694286	+	0.521001i
$46$	0.330449	−	0.742200i	0.0487220	−	0.109431i
$47$	1.94130	−	9.13311i	0.283168	−	1.33220i	−0.574714	−	0.818354i	$-0.694887\pi$
$47$	1.94130	−	9.13311i	0.283168	−	1.33220i	0.857882	−	0.513846i	$-0.171780\pi$
$48$	1.35443	−	1.07959i	0.195496	−	0.155825i
$49$	3.48316	+	6.07187i	0.497594	+	0.867410i
$50$	0.997214	+	0.724519i	0.141027	+	0.102462i
$51$	1.13229	+	7.52468i	0.158553	+	1.05367i
$52$	−5.03740	−	4.53569i	−0.698561	−	0.628987i
$53$	1.70355	−	3.82624i	0.234001	−	0.525575i	−0.757933	−	0.652333i	$-0.773790\pi$
$53$	1.70355	−	3.82624i	0.234001	−	0.525575i	0.991934	+	0.126758i	$0.0404571\pi$
$54$	3.96133	+	3.36272i	0.539068	+	0.457608i
$55$	3.95283	+	5.08097i	0.533000	+	0.685118i
$56$	−0.553675	+	2.58717i	−0.0739879	+	0.345725i
$57$	0.0363183	+	0.813101i	0.00481048	+	0.107698i
$58$	−2.93730	−	0.624341i	−0.385686	−	0.0819800i
$59$	−0.627177	−	2.95064i	−0.0816515	−	0.384140i	0.918279	−	0.395934i	$-0.129579\pi$
$59$	−0.627177	−	2.95064i	−0.0816515	−	0.384140i	−0.999930	+	0.0117940i	$0.996246\pi$
$60$	−2.59624	−	2.13580i	−0.335173	−	0.275731i
$61$	−2.08111	−	4.67425i	−0.266459	−	0.598476i	0.729917	−	0.683536i	$-0.239559\pi$
$61$	−2.08111	−	4.67425i	−0.266459	−	0.598476i	−0.996376	+	0.0850593i	$0.972892\pi$
$62$	2.59252	−	7.97896i	0.329251	−	1.01333i
$63$	−7.93613	−	0.133613i	−0.999858	−	0.0168336i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−6.57843	+	11.3942i	−0.815953	+	1.41327i
$66$	3.24874	+	4.73769i	0.399892	+	0.583169i
$67$	−1.96138	−	3.39722i	−0.239621	−	0.415036i	0.720984	−	0.692951i	$-0.243690\pi$
$67$	−1.96138	−	3.39722i	−0.239621	−	0.415036i	−0.960606	+	0.277915i	$0.910357\pi$
$68$	−0.459224	−	4.36922i	−0.0556891	−	0.529846i
$69$	−1.35638	−	0.374693i	−0.163289	−	0.0451077i
$70$	5.13533	+	0.00712871i	0.613789	+	0.000852044i
$71$	−8.37299	+	11.5244i	−0.993691	+	1.36770i	−0.0645741	+	0.997913i	$0.520569\pi$
$71$	−8.37299	+	11.5244i	−0.993691	+	1.36770i	−0.929117	+	0.369786i	$0.879431\pi$
$72$	−2.19816	−	2.04159i	−0.259056	−	0.240603i
$73$	−1.63635	−	7.69840i	−0.191520	−	0.901030i	−0.963982	−	0.265969i	$-0.914308\pi$
$73$	−1.63635	−	7.69840i	−0.191520	−	0.901030i	0.772462	−	0.635061i	$-0.219025\pi$
$74$	6.60480	−	7.33538i	0.767793	−	0.852720i
$75$	0.983918	−	1.89473i	0.113613	−	0.218784i
$76$		−	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	−0.514417	−	0.857540i	$-0.671992\pi$
$79$	−7.45986	+	0.784063i	−0.839300	+	0.0882140i	−0.324883	+	0.945754i	$0.605325\pi$
$80$	1.44242	+	1.29876i	0.161268	+	0.145206i
$81$	4.73860	−	7.65152i	0.526511	−	0.850168i
$82$	−3.09369	+	1.37740i	−0.341641	+	0.152109i
$83$	4.29547	+	3.12084i	0.471489	+	0.342557i	0.798021	−	0.602629i	$-0.205880\pi$
$83$	4.29547	+	3.12084i	0.471489	+	0.342557i	−0.326532	+	0.945186i	$0.605880\pi$
$84$	4.57392	+	0.281519i	0.499056	+	0.0307162i
$85$	−8.10990	+	2.63507i	−0.879642	+	0.285813i
$86$	3.52014	−	0.369981i	0.379586	−	0.0398961i
$87$	−0.312316	+	5.19182i	−0.0334838	+	0.556621i
$88$	−1.75174	−	2.81628i	−0.186736	−	0.300216i
$89$	11.9538	+	6.90154i	1.26710	+	0.731561i	0.974439	−	0.224654i	$-0.0721253\pi$
$89$	11.9538	+	6.90154i	1.26710	+	0.731561i	0.292663	+	0.956216i	$0.405459\pi$
$90$	−2.98900	+	4.99722i	−0.315068	+	0.526754i
$91$	−1.84987	−	17.8385i	−0.193919	−	1.86999i
$92$	0.772675	+	0.251057i	0.0805570	+	0.0261745i
$93$	−14.3343	−	2.38395i	−1.48640	−	0.247204i
$94$	9.28600	+	0.975997i	0.957777	+	0.100666i
$95$	−0.892156	+	0.189634i	−0.0915332	+	0.0194560i
$96$	1.21525	+	1.23417i	0.124031	+	0.125962i
$97$	1.56218	−	1.13499i	0.158616	−	0.115241i	−0.505646	−	0.862741i	$-0.668746\pi$
$97$	1.56218	−	1.13499i	0.158616	−	0.115241i	0.664262	+	0.747500i	$0.268746\pi$
$98$	−5.67452	+	4.09876i	−0.573213	+	0.414037i
$99$	7.27726	−	6.78539i	0.731392	−	0.681957i
$100$	−0.616312	+	1.06748i	−0.0616312	+	0.106748i
$101$	−12.5476	−	5.58653i	−1.24853	−	0.555881i	−0.327307	−	0.944918i	$-0.606141\pi$
$101$	−12.5476	−	5.58653i	−1.24853	−	0.555881i	−0.921222	+	0.389037i	$0.872808\pi$
$102$	−7.36511	+	1.91263i	−0.729254	+	0.189379i
$103$	1.37384	+	1.52581i	0.135369	+	0.150342i	0.807018	−	0.590527i	$-0.201080\pi$
$103$	1.37384	+	1.52581i	0.135369	+	0.150342i	−0.671649	+	0.740870i	$0.734414\pi$
$104$	3.98429	−	5.48391i	0.390692	−	0.537741i
$105$	−1.31133	−	8.79746i	−0.127973	−	0.858544i
$106$	3.98335	+	1.29427i	0.386897	+	0.125711i
$107$	1.30137	+	0.276615i	0.125808	+	0.0267414i	0.270386	−	0.962752i	$-0.412849\pi$
$107$	1.30137	+	0.276615i	0.125808	+	0.0267414i	−0.144577	+	0.989494i	$0.546182\pi$
$108$	−2.93023	+	4.29113i	−0.281961	+	0.412914i
$109$	15.4198	−	8.90263i	1.47695	−	0.852717i	0.477288	−	0.878747i	$-0.341620\pi$
$109$	15.4198	−	8.90263i	1.47695	−	0.852717i	0.999661	+	0.0260299i	$0.00828652\pi$
$110$	−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	$-0.586018\pi$
$113$	0.887889	−	0.288493i	0.0835256	−	0.0271391i	0.350482	+	0.936570i	$0.386018\pi$
$114$	−0.804851	+	0.121112i	−0.0753812	+	0.0113431i
$115$	0.164833	−	1.56828i	0.0153708	−	0.146243i
$116$	0.313890	−	2.98647i	0.0291440	−	0.277286i
$117$	18.4474	+	8.55713i	1.70546	+	0.791107i
$118$	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
$123$	3.15651	+	4.94378i	0.284613	+	0.445766i
$124$	8.20625	+	1.74429i	0.736943	+	0.156642i
$125$	11.5053	+	3.73829i	1.02906	+	0.334363i
$126$	−0.696671	−	7.90662i	−0.0620644	−	0.704378i
$127$	1.20848	−	1.66333i	0.107235	−	0.147596i	−0.752027	−	0.659133i	$-0.770923\pi$
$127$	1.20848	−	1.66333i	0.107235	−	0.147596i	0.859262	+	0.511536i	$0.170923\pi$
$128$	−0.669131	−	0.743145i	−0.0591433	−	0.0656853i
$129$	−1.54095	−	5.93382i	−0.135673	−	0.522444i
$130$	−12.0194	−	5.35137i	−1.05417	−	0.469347i
$131$	−3.07483	+	5.32575i	−0.268649	+	0.465313i	−0.968513	−	0.248962i	$-0.919910\pi$
$131$	−3.07483	+	5.32575i	−0.268649	+	0.465313i	0.699864	+	0.714276i	$0.253244\pi$
$132$	−4.37215	+	3.72617i	−0.380547	+	0.324321i
$133$	0.833192	−	0.922775i	0.0722469	−	0.0800147i
$134$	3.17359	−	2.30575i	0.274156	−	0.199186i
$135$	9.32945	+	3.83152i	0.802951	+	0.329765i
$136$	4.29729	−	0.913416i	0.368489	−	0.0783248i
$137$	−20.5401	−	2.15886i	−1.75486	−	0.184443i	−0.828224	−	0.560397i	$-0.810648\pi$
$137$	−20.5401	−	2.15886i	−1.75486	−	0.184443i	−0.926638	+	0.375954i	$0.877315\pi$
$138$	0.230860	−	1.38812i	0.0196521	−	0.118165i
$139$	−3.63691	−	1.18170i	−0.308479	−	0.100231i	0.150687	−	0.988582i	$-0.451852\pi$
$139$	−3.63691	−	1.18170i	−0.308479	−	0.100231i	−0.459166	+	0.888351i	$0.651852\pi$
$140$	0.529698	+	5.10794i	0.0447677	+	0.431700i
$141$	−0.721644	−	16.1563i	−0.0607734	−	1.36061i
$142$	−12.3365	−	7.12249i	−1.03526	−	0.597706i
$143$	17.1921	+	14.4864i	1.43768	+	1.21142i
$144$	1.80063	−	2.39953i	0.150053	−	0.199960i
$145$	−5.79665	+	0.609252i	−0.481385	+	0.0505957i
$146$	7.48518	−	2.43208i	0.619478	−	0.201281i
$147$	8.48273	+	8.66275i	0.699644	+	0.714492i
$148$	7.98558	+	5.80186i	0.656411	+	0.476910i
$149$	−17.7605	+	7.90749i	−1.45500	+	0.647807i	−0.973510	−	0.228645i	$-0.926570\pi$
$149$	−17.7605	+	7.90749i	−1.45500	+	0.647807i	−0.481489	+	0.876452i	$0.659904\pi$
$150$	1.98720	+	0.780475i	0.162254	+	0.0637255i
$151$	1.55025	+	1.39585i	0.126157	+	0.113593i	0.729795	−	0.683667i	$-0.239616\pi$
$151$	1.55025	+	1.39585i	0.126157	+	0.113593i	−0.603637	+	0.797259i	$0.706282\pi$
$152$	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
$156$	−10.4195	−	5.41079i	−0.834231	−	0.433210i
$157$	−0.121883	+	0.135364i	−0.00972730	+	0.0108033i	−0.747989	−	0.663711i	$-0.768980\pi$
$157$	−0.121883	+	0.135364i	−0.00972730	+	0.0108033i	0.738262	+	0.674515i	$0.235647\pi$
$158$	−1.55954	−	7.33704i	−0.124070	−	0.583703i
$159$	1.19014	−	7.15613i	0.0943846	−	0.567518i
$160$	−1.14088	+	1.57028i	−0.0901941	+	0.124142i
$161$	1.07217	+	1.86302i	0.0844989	+	0.146827i
$162$	8.10492	+	3.91284i	0.636783	+	0.307422i
$163$	−2.21545	−	21.0786i	−0.173527	−	1.65100i	−0.641401	−	0.767206i	$-0.721646\pi$
$163$	−2.21545	−	21.0786i	−0.173527	−	1.65100i	0.467874	−	0.883795i	$-0.345020\pi$
$164$	−1.69324	−	2.93277i	−0.132219	−	0.229011i
$165$	8.83872	+	6.79708i	0.688094	+	0.529152i
$166$	−2.65475	+	4.59816i	−0.206048	+	0.356886i
$167$	−3.26292	+	2.37065i	−0.252492	+	0.183446i	−0.706831	−	0.707383i	$-0.749876\pi$
$167$	−3.26292	+	2.37065i	−0.252492	+	0.183446i	0.454338	+	0.890829i	$0.349876\pi$
$168$	0.198128	+	4.57829i	0.0152859	+	0.353223i
$169$	−10.1814	+	31.3353i	−0.783188	+	2.41040i
$170$	−3.46835	−	7.79003i	−0.266010	−	0.597468i
$171$	0.414872	+	1.34731i	0.0317261	+	0.103031i
$172$	0.735909	+	3.46218i	0.0561126	+	0.263989i
$173$	−21.3520	−	4.53851i	−1.62336	−	0.345056i	−0.695658	−	0.718373i	$-0.744887\pi$
$173$	−21.3520	−	4.53851i	−1.62336	−	0.345056i	−0.927704	+	0.373316i	$0.878221\pi$
$174$	−5.19602	+	0.232088i	−0.393909	+	0.0175945i
$175$	−3.10300	+	1.00347i	−0.234565	+	0.0758549i
$176$	2.61774	−	2.03652i	0.197320	−	0.153509i
$177$	−2.33600	−	4.67353i	−0.175584	−	0.351284i
$178$	−5.61422	+	12.6097i	−0.420803	+	0.945140i
$179$	−2.15491	−	1.94029i	−0.161066	−	0.145024i	0.584657	−	0.811280i	$-0.301229\pi$
$179$	−2.15491	−	1.94029i	−0.161066	−	0.145024i	−0.745723	+	0.666256i	$0.767896\pi$
$180$	−5.28228	−	2.45027i	−0.393718	−	0.182633i
$181$	10.1349	+	7.36341i	0.753319	+	0.547318i	0.896854	−	0.442327i	$-0.145847\pi$
$181$	10.1349	+	7.36341i	0.753319	+	0.547318i	−0.143535	+	0.989645i	$0.545847\pi$
$182$	17.5474	−	3.70437i	1.30070	−	0.274586i
$183$	−5.52382	−	6.93010i	−0.408332	−	0.512288i
$184$	−0.168916	+	0.794685i	−0.0124526	+	0.0585850i
$185$	7.79259	−	17.5024i	0.572922	−	1.28680i
$186$	0.872551	−	14.5050i	0.0639786	−	1.06355i
$187$	1.99810	+	14.4332i	0.146116	+	1.05546i
$188$			9.33715i			0.680981i
$189$	−13.3627	+	3.23103i	−0.971990	+	0.235023i
$190$	−0.281850	−	0.867446i	−0.0204476	−	0.0629312i
$191$	5.66614	−	5.10182i	0.409988	−	0.369154i	−0.438176	−	0.898889i	$-0.644375\pi$
$191$	5.66614	−	5.10182i	0.409988	−	0.369154i	0.848163	+	0.529735i	$0.177709\pi$
$192$	−1.10038	+	1.33760i	−0.0794129	+	0.0965328i
$193$	−15.2899	−	1.60703i	−1.10059	−	0.115677i	−0.463227	−	0.886240i	$-0.653308\pi$
$193$	−15.2899	−	1.60703i	−1.10059	−	0.115677i	−0.637364	+	0.770563i	$0.719975\pi$
$194$	1.29207	+	1.43499i	0.0927650	+	0.103026i
$195$	−6.06788	+	21.9656i	−0.434530	+	1.57299i
$196$	−4.66945	−	5.21500i	−0.333532	−	0.372500i
$197$	−3.24755			−0.231378			−0.115689	−	0.993285i	$-0.536908\pi$
$197$	−3.24755			−0.231378			−0.115689	+	0.993285i	$0.536908\pi$
$198$	7.50890	+	6.52812i	0.533634	+	0.463934i
$199$	8.48092	+	14.6894i	0.601197	+	1.04130i	0.992640	+	0.121101i	$0.0386425\pi$
$199$	8.48092	+	14.6894i	0.601197	+	1.04130i	−0.391443	+	0.920202i	$0.628024\pi$
$200$	−1.12606	−	0.501354i	−0.0796244	−	0.0354511i
$201$	−4.76714	−	4.84135i	−0.336248	−	0.341483i
$202$	4.24435	−	13.0628i	0.298632	−	0.919093i
$203$	5.91164	−	5.30802i	0.414916	−	0.372550i
$204$	−2.67202	−	7.12484i	−0.187079	−	0.498838i
$205$	−4.88473	+	4.39823i	−0.341164	+	0.307185i
$206$	−1.37384	+	1.52581i	−0.0957202	+	0.106308i
$207$	−2.43703	−	0.0376459i	−0.169385	−	0.00261657i
$208$	5.87034	+	3.38924i	0.407035	+	0.235002i
$209$	0.0511783	+	1.55768i	0.00354008	+	0.107747i
$210$	8.61219	−	2.22373i	0.594298	−	0.153452i
$211$	−3.75889	−	5.17366i	−0.258772	−	0.356170i	0.659787	−	0.751453i	$-0.270647\pi$
$211$	−3.75889	−	5.17366i	−0.258772	−	0.356170i	−0.918559	+	0.395283i	$0.870647\pi$
$212$	−0.870806	+	4.09682i	−0.0598072	+	0.281371i
$213$	−9.01966	+	22.9653i	−0.618017	+	1.57356i
$214$	−0.139070	+	1.32316i	−0.00950660	+	0.0904492i
$215$	6.27617	−	2.79433i	0.428032	−	0.190572i
$216$	−4.57391	−	2.46563i	−0.311215	−	0.167765i
$217$	13.0220	+	17.9756i	0.883989	+	1.22027i
$218$	10.4657	+	14.4048i	0.708824	+	0.975613i
$219$	−6.09477	−	12.1936i	−0.411846	−	0.823964i
$220$	−4.92285	−	4.14810i	−0.331898	−	0.279665i
$221$	−25.7901	+	14.8899i	−1.73483	+	1.00160i
$222$	7.87911	−	15.1728i	0.528811	−	1.01833i
$223$	4.31263	+	13.2729i	0.288795	+	0.888819i	0.985235	+	0.171205i	$0.0547659\pi$
$223$	4.31263	+	13.2729i	0.288795	+	0.888819i	−0.696441	+	0.717614i	$0.745234\pi$
$224$	0.00367275	−	2.64575i	0.000245396	−	0.176777i
$225$	0.824607	−	3.60476i	0.0549738	−	0.240317i
$226$	0.379722	+	0.852870i	0.0252587	+	0.0567321i
$227$	9.83488	−	2.09047i	0.652764	−	0.138749i	0.130386	−	0.991463i	$-0.458378\pi$
$227$	9.83488	−	2.09047i	0.652764	−	0.138749i	0.522378	+	0.852714i	$0.325045\pi$
$228$	−0.204578	−	0.787782i	−0.0135485	−	0.0521721i
$229$	1.89492	+	18.0289i	0.125220	+	1.19139i	0.858992	+	0.511990i	$0.171091\pi$
$229$	1.89492	+	18.0289i	0.125220	+	1.19139i	−0.733772	+	0.679396i	$0.762242\pi$
$230$	1.57692			0.103979
$231$	−15.1925	−	0.435042i	−0.999590	−	0.0286236i
$232$	3.00292			0.197151
$233$	0.194435	+	1.84993i	0.0127379	+	0.121193i	0.999043	−	0.0437378i	$-0.0139266\pi$
$233$	0.194435	+	1.84993i	0.0127379	+	0.121193i	−0.986305	+	0.164931i	$0.947260\pi$
$234$	−6.58197	+	19.2408i	−0.430277	+	1.25781i
$235$	17.7271	−	3.76801i	1.15639	−	0.245798i
$236$	1.22694	+	2.75576i	0.0798672	+	0.179385i
$237$	−12.1647	+	4.56211i	−0.790182	+	0.296341i
$238$	10.0582	+	5.82574i	0.651977	+	0.377627i
$239$	0.620309	+	1.90911i	0.0401245	+	0.123490i	0.969112	−	0.246620i	$-0.0793199\pi$
$239$	0.620309	+	1.90911i	0.0401245	+	0.123490i	−0.928988	+	0.370110i	$0.879320\pi$
$240$	2.98357	+	1.54934i	0.192588	+	0.100010i
$241$	−10.2866	+	5.93894i	−0.662615	+	0.382561i	−0.793273	−	0.608867i	$-0.791625\pi$
$241$	−10.2866	+	5.93894i	−0.662615	+	0.382561i	0.130658	+	0.991428i	$0.458291\pi$
$242$	6.11344	+	9.14471i	0.392987	+	0.587845i
$243$	4.61288	−	14.8903i	0.295917	−	0.955214i
$244$	3.00746	+	4.13942i	0.192533	+	0.264999i
$245$	−8.01661	+	10.9697i	−0.512163	+	0.700831i
$246$	−4.58675	+	3.65599i	−0.292441	+	0.233097i
$247$	−2.90991	+	1.29558i	−0.185153	+	0.0824355i
$248$	−0.876950	+	8.34362i	−0.0556864	+	0.529820i
$249$	8.55979	+	3.36187i	0.542455	+	0.213050i
$250$	−2.51518	+	11.8330i	−0.159074	+	0.748385i
$251$	6.84548	+	9.42200i	0.432083	+	0.594711i	0.968430	−	0.249286i	$-0.0801961\pi$
$251$	6.84548	+	9.42200i	0.432083	+	0.594711i	−0.536347	+	0.843998i	$0.680196\pi$
$252$	7.79049	−	1.51932i	0.490754	−	0.0957082i
$253$	−2.58863	−	0.748062i	−0.162746	−	0.0470302i
$254$	1.78053	+	1.02799i	0.111721	+	0.0645020i
$255$	−12.4486	+	7.94822i	−0.779563	+	0.497737i
$256$	0.669131	−	0.743145i	0.0418207	−	0.0464466i
$257$	18.0708	−	16.2710i	1.12722	−	1.01496i	0.127490	−	0.991840i	$-0.459308\pi$
$257$	18.0708	−	16.2710i	1.12722	−	1.01496i	0.999733	−	0.0231165i	$-0.00735888\pi$
$258$	5.74024	−	2.15276i	0.357372	−	0.134025i
$259$	5.39425	+	25.5523i	0.335182	+	1.58774i
$260$	4.06569	−	12.5129i	0.252143	−	0.776018i
$261$	1.73670	+	8.83976i	0.107499	+	0.547168i
$262$	−5.61799	−	2.50129i	−0.347080	−	0.154530i
$263$	15.2281	+	26.3759i	0.939005	+	1.62640i	0.767331	+	0.641251i	$0.221584\pi$
$263$	15.2281	+	26.3759i	0.939005	+	1.62640i	0.171674	+	0.985154i	$0.445082\pi$
$264$	−4.16277	−	3.95871i	−0.256201	−	0.243642i
$265$	8.12946			0.499389
$266$	1.00481	+	0.732172i	0.0616090	+	0.0448923i
$267$	23.0445	+	6.36591i	1.41030	+	0.389587i
$268$	2.62484	+	2.91519i	0.160338	+	0.178073i
$269$	8.66585	+	0.910817i	0.528366	+	0.0555335i	0.364956	−	0.931025i	$-0.381084\pi$
$269$	8.66585	+	0.910817i	0.528366	+	0.0555335i	0.163410	+	0.986558i	$0.447751\pi$
$270$	−2.83534	+	9.67884i	−0.172553	+	0.589036i
$271$	14.6677	−	13.2068i	0.890998	−	0.802259i	−0.0900669	−	0.995936i	$-0.528708\pi$
$271$	14.6677	−	13.2068i	0.890998	−	0.802259i	0.981065	+	0.193677i	$0.0620414\pi$
$272$	1.35760	+	4.17827i	0.0823166	+	0.253345i
$273$	−10.8673	−	29.1000i	−0.657717	−	1.76121i
$274$		−	20.6533i		−	1.24771i
$275$	1.92671	−	3.60566i	0.116185	−	0.217429i
$276$	1.40465	+	0.0844970i	0.0845498	+	0.00508612i
$277$	−3.65486	+	8.20895i	−0.219599	+	0.493228i	−0.989428	−	0.145022i	$-0.953675\pi$
$277$	−3.65486	+	8.20895i	−0.219599	+	0.493228i	0.769829	+	0.638250i	$0.220341\pi$
$278$	0.795070	−	3.74051i	0.0476851	−	0.224341i
$279$	−25.0685	+	2.24392i	−1.50081	+	0.134340i
$280$	−5.02459	+	1.06072i	−0.300277	+	0.0633902i
$281$	0.288036	+	0.209270i	0.0171828	+	0.0124840i	0.596343	−	0.802729i	$-0.296620\pi$
$281$	0.288036	+	0.209270i	0.0171828	+	0.0124840i	−0.579161	+	0.815213i	$0.696620\pi$
$282$	15.9924	−	2.40648i	0.952331	−	0.143304i
$283$	10.4870	+	9.44252i	0.623386	+	0.561299i	0.919123	−	0.393970i	$-0.128899\pi$
$283$	10.4870	+	9.44252i	0.623386	+	0.561299i	−0.295737	+	0.955269i	$0.595565\pi$
$284$	5.79396	−	13.0134i	0.343808	−	0.772206i
$285$	−1.41309	+	0.706313i	−0.0837043	+	0.0418384i
$286$	−12.6100	+	18.6122i	−0.745646	+	1.10056i
$287$	1.87500	−	8.76137i	0.110678	−	0.517167i
$288$	2.57460	+	1.53995i	0.151710	+	0.0907424i
$289$	−2.25071	−	0.478402i	−0.132394	−	0.0281413i
$290$	−1.21183	−	5.70121i	−0.0711611	−	0.334787i
$291$	2.12479	−	2.58285i	0.124557	−	0.151409i
$292$	3.20117	+	7.18996i	0.187335	+	0.420760i
$293$	−1.18310	+	3.64120i	−0.0691173	+	0.212721i	−0.979649	−	0.200718i	$-0.935673\pi$
$293$	−1.18310	+	3.64120i	−0.0691173	+	0.212721i	0.910532	+	0.413439i	$0.135673\pi$
$294$	−7.72861	+	9.34176i	−0.450742	+	0.544823i
$295$	4.73684	−	3.44151i	0.275789	−	0.200373i
$296$	−4.93536	+	8.54830i	−0.286862	+	0.496860i
$297$	9.24588	−	14.5435i	0.536500	−	0.843900i
$298$	−9.72065	−	16.8367i	−0.563102	−	0.975322i
$299$	−0.575649	−	5.47693i	−0.0332906	−	0.316739i
$300$	−0.568481	+	2.05789i	−0.0328212	+	0.118812i
$301$	−4.69361	+	8.10357i	−0.270535	+	0.467082i
$302$	−1.22616	+	1.68766i	−0.0705575	+	0.0971141i
$303$	−23.4674	−	3.90289i	−1.34817	−	0.224215i
$304$	0.0977002	+	0.459644i	0.00560349	+	0.0263624i
$305$	6.64526	−	7.38031i	0.380507	−	0.422595i
$306$	−11.5145	+	6.41285i	−0.658241	+	0.366598i
$307$		−	17.3563i		−	0.990578i	−0.868728	−	0.495289i	$-0.835062\pi$
$307$		−	17.3563i		−	0.990578i	0.868728	−	0.495289i	$-0.164938\pi$
$308$	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	$-0.516429\pi$
$311$	−18.5201	−	16.6756i	−1.05018	−	0.945587i	−0.998590	+	0.0530818i	$0.983096\pi$
$312$	4.29201	−	10.9280i	0.242987	−	0.618679i
$313$	−24.8209	+	11.0510i	−1.40296	+	0.624639i	−0.962041	−	0.272907i	$-0.912015\pi$
$313$	−24.8209	+	11.0510i	−1.40296	+	0.624639i	−0.440922	+	0.897546i	$0.645348\pi$
$314$	−0.147363	−	0.107066i	−0.00831618	−	0.00604206i
$315$	−6.02838	−	14.1776i	−0.339661	−	0.798815i
$316$	7.13383	−	2.31792i	0.401309	−	0.130393i
$317$	0.275689	−	0.0289761i	0.0154842	−	0.00162746i	−0.0967832	−	0.995305i	$-0.530855\pi$
$317$	0.275689	−	0.0289761i	0.0154842	−	0.00162746i	0.112267	+	0.993678i	$0.464189\pi$
$318$	7.24133	+	0.435605i	0.406074	+	0.0244275i
$319$	−0.715238	+	9.93383i	−0.0400456	+	0.556188i
$320$	−1.68093	−	0.970486i	−0.0939669	−	0.0542518i
$321$	2.30211	−	0.102827i	0.128491	−	0.00573923i
$322$	−1.74074	+	1.26104i	−0.0970078	+	0.0702748i
$323$	−1.96342	−	0.637953i	−0.109248	−	0.0354967i
$324$	−3.04421	+	8.46952i	−0.169123	+	0.470529i
$325$	8.30956	+	0.873369i	0.460931	+	0.0484458i
$326$	20.7315	−	4.40662i	1.14821	−	0.244060i
$327$	21.9747	−	21.6378i	1.21520	−	1.19657i
$328$	2.73971	−	1.99052i	0.151275	−	0.109908i
$329$	−16.5555	+	18.3355i	−0.912735	+	1.01087i
$330$	−5.83595	+	9.50079i	−0.321258	+	0.523001i
$331$	8.15966	−	14.1329i	0.448495	−	0.776817i	−0.549793	−	0.835301i	$-0.685293\pi$
$331$	8.15966	−	14.1329i	0.448495	−	0.776817i	0.998288	+	0.0584841i	$0.0186267\pi$
$332$	−4.85047	−	2.15957i	−0.266204	−	0.118522i
$333$	−28.0181	−	9.58456i	−1.53538	−	0.525231i
$334$	−2.69873	−	2.99724i	−0.147668	−	0.164002i
$335$	4.47539	−	6.15985i	0.244517	−	0.336548i
$336$	−4.53250	+	0.675604i	−0.247268	+	0.0368572i
$337$	−22.8595	−	7.42750i	−1.24524	−	0.404602i	−0.389025	−	0.921227i	$-0.627188\pi$
$337$	−22.8595	−	7.42750i	−1.24524	−	0.404602i	−0.856211	+	0.516626i	$0.827188\pi$
$338$	−32.2279	−	6.85024i	−1.75296	−	0.372604i
$339$	1.36290	−	0.870188i	0.0740226	−	0.0472621i
$340$	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
$345$	−0.406424	−	2.70090i	−0.0218811	−	0.145412i
$346$	2.28175	−	21.7094i	0.122668	−	1.16711i
$347$	−0.799262	+	7.60447i	−0.0429066	+	0.408229i	0.951897	+	0.306418i	$0.0991305\pi$
$347$	−0.799262	+	7.60447i	−0.0429066	+	0.408229i	−0.994804	+	0.101811i	$0.967536\pi$
$348$	−0.773949	−	5.14330i	−0.0414880	−	0.275710i
$349$	28.8452	−	9.37239i	1.54405	−	0.501692i	0.591560	−	0.806261i	$-0.298512\pi$
$349$	28.8452	−	9.37239i	1.54405	−	0.501692i	0.952490	+	0.304569i	$0.0985123\pi$
$350$	−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	$-0.592214\pi$
$353$	7.54247	−	4.35465i	0.401445	−	0.231774i	0.687107	+	0.726556i	$0.258880\pi$
$354$	4.40375	−	2.81172i	0.234057	−	0.149441i
$355$	−27.0449	−	5.74858i	−1.43540	−	0.305103i
$356$	−13.1275	−	4.26538i	−0.695756	−	0.226065i
$357$	7.38582	−	18.7289i	0.390899	−	0.991237i
$358$	1.70441	−	2.34592i	0.0900809	−	0.123986i
$359$	2.85484	+	3.17062i	0.150673	+	0.167339i	0.813756	−	0.581207i	$-0.197419\pi$
$359$	2.85484	+	3.17062i	0.150673	+	0.167339i	−0.663083	+	0.748546i	$0.730753\pi$
$360$	1.88470	−	5.50947i	0.0993326	−	0.290375i
$361$	17.1556	+	7.63818i	0.902928	+	0.402010i
$362$	−6.26369	+	10.8490i	−0.329212	+	0.570213i
$363$	14.0871	−	12.8278i	0.739383	−	0.673285i
$364$	5.51828	+	17.0641i	0.289237	+	0.894402i
$365$	12.3587	−	8.97913i	0.646884	−	0.469989i
$366$	6.31474	−	6.21795i	0.330077	−	0.325018i
$367$	−23.0390	+	4.89710i	−1.20263	+	0.255626i	−0.765299	−	0.643675i	$-0.777409\pi$
$367$	−23.0390	+	4.89710i	−1.20263	+	0.255626i	−0.437329	+	0.899302i	$0.644075\pi$
$368$	−0.807988	−	0.0849230i	−0.0421193	−	0.00442692i
$369$	7.44401	+	6.91378i	0.387520	+	0.359917i
$370$	18.2211	+	5.92040i	0.947270	+	0.307787i
$371$	−8.97401	+	6.50098i	−0.465907	+	0.337514i
$372$	14.5167	−	0.648409i	0.752656	−	0.0336185i
$373$	32.4706	+	18.7469i	1.68127	+	0.970679i	0.960822	+	0.277165i	$0.0893949\pi$
$373$	32.4706	+	18.7469i	1.68127	+	0.970679i	0.720443	+	0.693514i	$0.243938\pi$
$374$	−14.1453	+	3.49584i	−0.731437	+	0.180766i
$375$	20.9154	+	1.25818i	1.08007	+	0.0649719i
$376$	−9.28600	+	0.975997i	−0.478889	+	0.0503332i
$377$	−19.3590	+	6.29011i	−0.997037	+	0.323957i
$378$	−4.61010	−	12.9517i	−0.237118	−	0.666164i
$379$	11.0824	+	8.05180i	0.569262	+	0.413593i	0.834837	−	0.550497i	$-0.185562\pi$
$379$	11.0824	+	8.05180i	0.569262	+	0.413593i	−0.265575	+	0.964090i	$0.585562\pi$
$380$	0.833233	−	0.370979i	0.0427439	−	0.0190308i
$381$	1.30181	−	3.31459i	0.0666938	−	0.169812i
$382$	5.66614	+	5.10182i	0.289905	+	0.261032i
$383$	24.3664	−	2.56101i	1.24507	−	0.130862i	0.541016	−	0.841012i	$-0.318040\pi$
$383$	24.3664	−	2.56101i	1.24507	−	0.130862i	0.704050	+	0.710151i	$0.251373\pi$
$384$	−1.44529	−	0.954533i	−0.0737547	−	0.0487108i
$385$	−2.31217	−	16.8743i	−0.117839	−	0.859994i
$386$		−	15.3741i		−	0.782521i
$387$	−5.16662	−	9.27687i	−0.262634	−	0.471570i
$388$	−1.29207	+	1.43499i	−0.0655947	+	0.0728503i
$389$	3.93745	+	18.5242i	0.199636	+	0.939215i	0.957863	+	0.287225i	$0.0927326\pi$
$389$	3.93745	+	18.5242i	0.199636	+	0.939215i	−0.758227	+	0.651991i	$0.773934\pi$
$390$	−22.4796	−	3.73860i	−1.13830	−	0.189312i
$391$	2.09797	−	2.88761i	0.106099	−	0.146033i
$392$	4.69834	−	5.18899i	0.237302	−	0.262084i
$393$	−2.83619	+	10.2670i	−0.143067	+	0.517900i
$394$	−0.339461	−	3.22976i	−0.0171018	−	0.162713i
$395$	−7.27957	−	12.6086i	−0.366275	−	0.634407i
$396$	−5.70747	+	8.15014i	−0.286811	+	0.409560i
$397$	−4.75617	+	8.23792i	−0.238705	+	0.413449i	−0.960343	−	0.278821i	$-0.910056\pi$
$397$	−4.75617	+	8.23792i	−0.238705	+	0.413449i	0.721638	+	0.692271i	$0.243390\pi$
$398$	−13.7224	+	9.96992i	−0.687843	+	0.499747i
$399$	0.995068	−	1.90971i	0.0498157	−	0.0956053i
$400$	0.380902	−	1.17230i	0.0190451	−	0.0586148i
$401$	12.1145	+	27.2097i	0.604972	+	1.35879i	0.913214	+	0.407481i	$0.133593\pi$
$401$	12.1145	+	27.2097i	0.604972	+	1.35879i	−0.308242	+	0.951308i	$0.599741\pi$
$402$	4.31653	−	5.24709i	0.215289	−	0.261701i
$403$	−11.8237	−	55.6259i	−0.588978	−	2.77092i
$404$	13.4349	+	2.85567i	0.668410	+	0.142075i
$405$	17.3084	+	2.36172i	0.860060	+	0.117355i
$406$	5.89688	+	5.32441i	0.292657	+	0.264246i
$407$	−27.1028	−	18.3625i	−1.34343	−	0.910196i
$408$	6.80650	−	3.40213i	0.336972	−	0.168431i
$409$	4.81122	−	10.8062i	0.237899	−	0.534331i	−0.754657	−	0.656120i	$-0.772196\pi$
$409$	4.81122	−	10.8062i	0.237899	−	0.534331i	0.992556	+	0.121789i	$0.0388632\pi$
$410$	−4.88473	−	4.39823i	−0.241239	−	0.217213i
$411$	−35.3743	+	5.32302i	−1.74488	+	0.262565i
$412$	−1.66105	−	1.20683i	−0.0818343	−	0.0594561i
$413$	−2.47682	+	7.58700i	−0.121876	+	0.373332i
$414$	−0.217299	−	2.42761i	−0.0106797	−	0.119311i
$415$	−2.14265	+	10.0804i	−0.105179	+	0.494827i
$416$	−2.75706	+	6.19245i	−0.135176	+	0.303610i
$417$	−6.61154	−	0.397720i	−0.323769	−	0.0194764i
$418$	−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	$0.890233\pi$
$420$	3.11177	+	8.33257i	0.151839	+	0.406588i
$421$	−5.19198	−	15.9793i	−0.253042	−	0.778783i	−0.994209	−	0.107462i	$-0.965727\pi$
$421$	−5.19198	−	15.9793i	−0.253042	−	0.778783i	0.741167	−	0.671320i	$-0.234273\pi$
$422$	4.75241	−	4.27909i	0.231344	−	0.208303i
$423$	−8.24350	−	26.7710i	−0.400813	−	1.30165i
$424$	−4.16540	−	0.437801i	−0.202290	−	0.0212615i
$425$	3.62353	+	4.02433i	0.175767	+	0.195209i
$426$	−23.7823	−	6.56972i	−1.15226	−	0.318304i
$427$	−1.43372	+	13.4611i	−0.0693824	+	0.651430i
$428$	−1.33045			−0.0643096
$429$	35.1284	+	16.8011i	1.69601	+	0.811164i
$430$	3.43506	+	5.94971i	0.165653	+	0.286920i
$431$	−20.6548	−	9.19613i	−0.994909	−	0.442962i	−0.156308	−	0.987708i	$-0.549959\pi$
$431$	−20.6548	−	9.19613i	−0.994909	−	0.442962i	−0.838601	+	0.544746i	$0.816626\pi$
$432$	1.97402	−	4.80658i	0.0949751	−	0.231257i
$433$	2.97814	−	9.16578i	0.143120	−	0.440479i	−0.853644	−	0.520857i	$-0.825613\pi$
$433$	2.97814	−	9.16578i	0.143120	−	0.440479i	0.996764	+	0.0803776i	$0.0256126\pi$
$434$	−16.5160	+	14.8296i	−0.792793	+	0.711844i
$435$	−9.45252	+	3.54497i	−0.453214	+	0.169968i
$436$	−13.2319	+	11.9140i	−0.633692	+	0.570579i
$437$	0.255457	−	0.283714i	0.0122202	−	0.0135719i
$438$	11.4897	−	7.33595i	0.548998	−	0.350525i
$439$	32.3764	+	18.6925i	1.54524	+	0.892145i	0.998495	+	0.0548453i	$0.0174666\pi$
$439$	32.3764	+	18.6925i	1.54524	+	0.892145i	0.546745	+	0.837299i	$0.315867\pi$
$440$	3.61079	−	5.32947i	0.172138	−	0.254073i
$441$	17.9922	+	10.8296i	0.856771	+	0.515697i
$442$	−17.5041	−	24.0924i	−0.832587	−	1.14596i
$443$	−5.00874	+	23.5643i	−0.237973	+	1.11957i	0.683143	+	0.730284i	$0.260612\pi$
$443$	−5.00874	+	23.5643i	−0.237973	+	1.11957i	−0.921116	+	0.389289i	$0.872721\pi$
$444$	15.9132	+	6.24996i	0.755209	+	0.296610i
$445$	−2.80046	+	26.6446i	−0.132755	+	1.26308i
$446$	−12.7494	+	5.67640i	−0.603701	+	0.268785i
$447$	−26.3320	+	20.9886i	−1.24546	+	0.992726i
$448$	2.63164	−	0.272903i	0.124333	−	0.0128935i
$449$	−6.31116	−	8.68657i	−0.297842	−	0.409944i	0.633700	−	0.773579i	$-0.281536\pi$
$449$	−6.31116	−	8.68657i	−0.297842	−	0.409944i	−0.931542	+	0.363635i	$0.881536\pi$
$450$	3.67121	+	0.443290i	0.173062	+	0.0208969i
$451$	5.93221	+	9.53724i	0.279337	+	0.449091i
$452$	−0.808506	+	0.466791i	−0.0380289	+	0.0219560i
$453$	3.20660	+	1.66516i	0.150659	+	0.0782360i
$454$	3.10704	+	9.56249i	0.145821	+	0.448790i
$455$	30.1703	−	17.3630i	1.41440	−	0.813991i
$456$	0.762082	−	0.285803i	0.0356878	−	0.0133839i
$457$	−4.38249	−	9.84323i	−0.205004	−	0.460447i	0.781558	−	0.623832i	$-0.214425\pi$
$457$	−4.38249	−	9.84323i	−0.205004	−	0.460447i	−0.986562	+	0.163386i	$0.947759\pi$
$458$	−17.7321	+	3.76907i	−0.828566	+	0.176117i
$459$	13.9514	+	18.0689i	0.651195	+	0.843384i
$460$	0.164833	+	1.56828i	0.00768539	+	0.0731216i
$461$	15.8811			0.739657			0.369829	−	0.929100i	$-0.379416\pi$
$461$	15.8811			0.739657			0.369829	+	0.929100i	$0.379416\pi$
$462$	−1.15539	−	15.1547i	−0.0537534	−	0.705061i
$463$	−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
$465$	−7.08927	−	27.2991i	−0.328757	−	1.26597i
$466$	−1.81947	+	0.386741i	−0.0842854	+	0.0179154i
$467$	11.3821	+	25.5646i	0.526701	+	1.18299i	0.959554	+	0.281525i	$0.0908402\pi$
$467$	11.3821	+	25.5646i	0.526701	+	1.18299i	−0.432853	+	0.901464i	$0.642493\pi$
$468$	−19.8234	−	4.53470i	−0.916337	−	0.209617i
$469$	−0.0144074	+	10.3787i	−0.000665270	+	0.479242i
$470$	5.60036	+	17.2361i	0.258325	+	0.795044i
$471$	−0.145398	+	0.279993i	−0.00669960	+	0.0129014i
$472$	−2.61241	+	1.50828i	−0.120246	+	0.0694241i
$473$	−2.81649	−	11.3964i	−0.129502	−	0.524008i
$474$	−5.80868	−	11.6212i	−0.266801	−	0.533779i
$475$	0.340460	+	0.468603i	0.0156214	+	0.0215010i
$476$	−4.74246	+	10.6121i	−0.217370	+	0.486403i
$477$	−1.12024	−	12.5150i	−0.0512921	−	0.573022i
$478$	−1.83382	+	0.816468i	−0.0838768	+	0.0373444i
$479$	1.59293	−	15.1557i	0.0727827	−	0.692481i	−0.895913	−	0.444230i	$-0.853477\pi$
$479$	1.59293	−	15.1557i	0.0727827	−	0.692481i	0.968696	−	0.248251i	$-0.0798559\pi$
$480$	−1.22899	+	3.12917i	−0.0560953	+	0.142826i
$481$	13.9111	−	65.4464i	0.634290	−	2.98410i
$482$	−6.98165	−	9.60941i	−0.318005	−	0.437697i
$483$	2.60851	+	2.65648i	0.118691	+	0.120874i
$484$	−8.45559	+	7.03584i	−0.384345	+	0.319811i
$485$	3.24582	+	1.87397i	0.147385	+	0.0850928i
$486$	15.2909	+	3.03115i	0.693610	+	0.137496i
$487$	−6.65399	+	7.39000i	−0.301521	+	0.334873i	−0.874797	−	0.484489i	$-0.839006\pi$
$487$	−6.65399	+	7.39000i	−0.301521	+	0.334873i	0.573276	+	0.819362i	$0.305672\pi$
$488$	−3.80238	+	3.42368i	−0.172126	+	0.154983i
$489$	−12.8907	−	34.3726i	−0.582938	−	1.55438i
$490$	−11.7476	−	6.82605i	−0.530703	−	0.308369i
$491$	−1.60842	+	4.95021i	−0.0725870	+	0.223400i	−0.980768	−	0.195178i	$-0.937471\pi$
$491$	−1.60842	+	4.95021i	−0.0725870	+	0.223400i	0.908181	+	0.418578i	$0.137471\pi$
$492$	−4.11541	−	4.17947i	−0.185537	−	0.188425i
$493$	−12.0521	−	5.36595i	−0.542800	−	0.241670i
$494$	−1.59265	−	2.75854i	−0.0716565	−	0.124113i
$495$	17.7768	+	7.54696i	0.799006	+	0.339211i
$496$	−8.38958			−0.376703
$497$	34.4516	−	15.2816i	1.54536	−	0.685472i
$498$	−2.44871	+	8.86431i	−0.109730	+	0.397219i
$499$	−7.12044	−	7.90805i	−0.318755	−	0.354013i	0.562379	−	0.826879i	$-0.309886\pi$
$499$	−7.12044	−	7.90805i	−0.318755	−	0.354013i	−0.881134	+	0.472866i	$0.843219\pi$
$500$	−12.0311	−	1.26452i	−0.538046	−	0.0565510i
$501$	−4.43803	+	5.39479i	−0.198277	+	0.241021i
$502$	−8.65484	+	7.79285i	−0.386284	+	0.347812i
$503$	−13.3840	−	41.1917i	−0.596763	−	1.83665i	−0.545748	−	0.837949i	$-0.683755\pi$
$503$	−13.3840	−	41.1917i	−0.596763	−	1.83665i	−0.0510144	−	0.998698i	$-0.516245\pi$
$504$	2.32533	+	7.58900i	0.103578	+	0.338041i
$505$		−	26.6593i		−	1.18632i
$506$	0.473378	−	2.65265i	0.0210442	−	0.117925i
$507$	−3.42671	+	56.9644i	−0.152186	+	2.52988i
$508$	−0.836244	+	1.87824i	−0.0371023	+	0.0833332i
$509$	8.77384	−	41.2777i	0.388894	−	1.82960i	−0.151837	−	0.988406i	$-0.548519\pi$
$509$	8.77384	−	41.2777i	0.388894	−	1.82960i	0.540731	−	0.841196i	$-0.318148\pi$
$510$	−9.20591	−	11.5496i	−0.407645	−	0.511425i
$511$	−6.46217	+	19.7950i	−0.285870	+	0.875678i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	1.28207	+	2.07807i	0.0566046	+	0.0917491i
$514$	18.0708	+	16.2710i	0.797067	+	0.717683i
$515$	−1.62091	+	3.64062i	−0.0714258	+	0.160425i
$516$	2.74098	+	5.48377i	0.120665	+	0.241410i
$517$	−1.01691	−	30.9511i	−0.0447237	−	1.36123i
$518$	−24.8485	+	8.03564i	−1.09178	+	0.353066i
$519$	−37.7713	+	1.68711i	−1.65798	+	0.0740559i
$520$	12.8693	+	2.73546i	0.564358	+	0.119958i
$521$	6.16082	+	28.9844i	0.269910	+	1.26983i	0.879036	+	0.476755i	$0.158187\pi$
$521$	6.16082	+	28.9844i	0.269910	+	1.26983i	−0.609126	+	0.793073i	$0.708480\pi$
$522$	−8.60981	+	2.65119i	−0.376841	+	0.116039i
$523$	7.42212	+	16.6703i	0.324546	+	0.728943i	0.999964	−	0.00849224i	$-0.00270320\pi$
$523$	7.42212	+	16.6703i	0.324546	+	0.728943i	−0.675417	+	0.737436i	$0.736037\pi$
$524$	1.90035	−	5.84867i	0.0830170	−	0.255500i
$525$	−4.76514	+	3.03316i	−0.207968	+	0.132378i
$526$	−24.6396	+	17.9017i	−1.07434	+	0.780552i
$527$	18.4289	−	31.9198i	0.802776	−	1.39045i
$528$	3.50189	−	4.55376i	0.152400	−	0.198177i
$529$	−11.1700	−	19.3470i	−0.485651	−	0.841172i
$530$	0.849760	+	8.08493i	0.0369112	+	0.351187i
$531$	−5.95081	−	6.81794i	−0.258243	−	0.295873i
$532$	−0.623130	+	1.07584i	−0.0270161	+	0.0466436i
$533$	−13.4927	+	18.5711i	−0.584433	+	0.804403i
$534$	−3.92223	+	23.5837i	−0.169732	+	1.02057i
$535$	0.536903	+	2.52593i	0.0232123	+	0.109205i
$536$	−2.62484	+	2.91519i	−0.113376	+	0.125917i
$537$	−4.45730	−	2.31464i	−0.192347	−	0.0998841i
$538$			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	−0.327824	−	0.944739i	$-0.606315\pi$
$541$	−10.5147	+	1.10514i	−0.452062	+	0.0475136i	−0.124238	+	0.992252i	$0.539649\pi$
$542$	14.6677	+	13.2068i	0.630031	+	0.567282i
$543$	20.1962	+	7.93211i	0.866704	+	0.340399i
$544$	−4.01347	+	1.78691i	−0.172076	+	0.0766132i
$545$	27.9592	+	20.3136i	1.19764	+	0.870138i
$546$	27.8046	−	13.8495i	1.18993	−	0.592704i
$547$	0.752165	−	0.244393i	0.0321603	−	0.0104495i	−0.292893	−	0.956145i	$-0.594618\pi$
$547$	0.752165	−	0.244393i	0.0321603	−	0.0104495i	0.325053	+	0.945696i	$0.394618\pi$
$548$	20.5401	−	2.15886i	0.877431	−	0.0922217i
$549$	−12.2774	−	9.21313i	−0.523988	−	0.393207i
$550$	3.78730	+	1.53927i	0.161491	+	0.0656345i
$551$	−1.22205	−	0.705554i	−0.0520613	−	0.0300576i
$552$	0.0627913	+	1.40578i	0.00267258	+	0.0598341i
$553$	18.1187	+	8.09711i	0.770485	+	0.344324i
$554$	−8.54602	−	2.77677i	−0.363086	−	0.117974i
$555$	5.44410	−	32.7344i	0.231089	−	1.38950i
$556$	3.80313	+	0.399725i	0.161289	+	0.0169521i
$557$	−12.0218	+	2.55532i	−0.509382	+	0.108272i	−0.455431	−	0.890271i	$-0.650515\pi$
$557$	−12.0218	+	2.55532i	−0.509382	+	0.108272i	−0.0539510	+	0.998544i	$0.517181\pi$
$558$	−4.85200	−	24.6966i	−0.205401	−	1.04549i
$559$	19.4104	−	14.1025i	0.820975	−	0.596473i
$560$	−1.58012	−	4.88619i	−0.0667724	−	0.206479i
$561$	9.63327	+	23.3267i	0.406717	+	0.984852i
$562$	−0.178016	+	0.308333i	−0.00750915	+	0.0130062i
$563$	−30.9200	−	13.7665i	−1.30312	−	0.580188i	−0.366465	−	0.930432i	$-0.619432\pi$
$563$	−30.9200	−	13.7665i	−1.30312	−	0.580188i	−0.936658	+	0.350244i	$0.886099\pi$
$564$	4.06496	+	15.6532i	0.171166	+	0.659119i
$565$	1.21250	+	1.34662i	0.0510104	+	0.0566528i
$566$	−8.29460	+	11.4165i	−0.348648	+	0.479873i
$567$	−20.9951	+	11.2341i	−0.881712	+	0.471789i
$568$	13.5478	+	4.40194i	0.568452	+	0.184701i
$569$	−14.2558	−	3.03017i	−0.597636	−	0.127031i	−0.100846	−	0.994902i	$-0.532155\pi$
$569$	−14.2558	−	3.03017i	−0.597636	−	0.127031i	−0.496790	+	0.867871i	$0.665488\pi$
$570$	−0.850152	−	1.33152i	−0.0356090	−	0.0557713i
$571$	−34.2234	+	19.7589i	−1.43220	+	0.826884i	−0.997289	−	0.0735875i	$-0.976555\pi$
$571$	−34.2234	+	19.7589i	−1.43220	+	0.826884i	−0.434916	+	0.900471i	$0.643222\pi$
$572$	−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
$576$	−1.26240	+	2.72146i	−0.0525998	+	0.113394i
$577$	1.80520	−	17.1754i	0.0751516	−	0.715020i	−0.890465	−	0.455051i	$-0.849621\pi$
$577$	1.80520	−	17.1754i	0.0751516	−	0.715020i	0.965617	−	0.259969i	$-0.0837123\pi$
$578$	0.240519	−	2.28838i	0.0100043	−	0.0951842i
$579$	−26.3323	+	3.96240i	−1.09433	+	0.164672i
$580$	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
$585$	−0.609647	+	39.4658i	−0.0252058	+	1.63171i
$586$	−3.74492	−	0.796008i	−0.154701	−	0.0328828i
$587$	−18.9588	−	6.16010i	−0.782515	−	0.254254i	−0.109601	−	0.993976i	$-0.534957\pi$
$587$	−18.9588	−	6.16010i	−0.782515	−	0.254254i	−0.672913	+	0.739721i	$0.734957\pi$
$588$	−10.0984	−	6.70979i	−0.416453	−	0.276707i
$589$	2.31726	−	3.18944i	0.0954812	−	0.131419i
$590$	3.91779	+	4.35115i	0.161293	+	0.179134i
$591$	−5.44433	+	1.41383i	−0.223950	+	0.0581572i
$592$	−9.01735	−	4.01478i	−0.370611	−	0.165007i
$593$	−1.59393	+	2.76077i	−0.0654548	+	0.113371i	−0.896896	−	0.442242i	$-0.854183\pi$
$593$	−1.59393	+	2.76077i	−0.0654548	+	0.113371i	0.831441	+	0.555613i	$0.187516\pi$
$594$	15.4303	+	7.67502i	0.633113	+	0.314910i
$595$	22.0614	+	4.72132i	0.904431	+	0.193555i
$596$	15.7283	−	11.4273i	0.644258	−	0.468081i
$597$	20.6129	+	20.9338i	0.843629	+	0.856761i
$598$	5.38676	−	1.14499i	0.220281	−	0.0468222i
$599$	9.01011	+	0.947001i	0.368143	+	0.0386934i	0.286794	−	0.957992i	$-0.407410\pi$
$599$	9.01011	+	0.947001i	0.368143	+	0.0386934i	0.0813491	+	0.996686i	$0.474077\pi$
$600$	−2.10604	−	0.350258i	−0.0859788	−	0.0142992i
$601$	15.0502	+	4.89011i	0.613911	+	0.199472i	0.599435	−	0.800423i	$-0.295392\pi$
$601$	15.0502	+	4.89011i	0.613911	+	0.199472i	0.0144763	+	0.999895i	$0.495392\pi$
$602$	−8.54979	−	3.82084i	−0.348464	−	0.155726i
$603$	−10.0996	−	6.04087i	−0.411286	−	0.246003i
$604$	−1.80659	−	1.04303i	−0.0735089	−	0.0424404i
$605$	16.7702	+	13.2141i	0.681806	+	0.537230i
$606$	1.42850	−	23.7468i	0.0580288	−	0.964648i
$607$	14.1677	−	1.48909i	0.575051	−	0.0604403i	0.187461	−	0.982272i	$-0.439974\pi$
$607$	14.1677	−	1.48909i	0.575051	−	0.0604403i	0.387590	+	0.921832i	$0.373308\pi$
$608$	−0.446913	+	0.145211i	−0.0181247	+	0.00588908i
$609$	7.59967	−	11.4723i	0.307954	−	0.464879i
$610$	8.03450	+	5.83741i	0.325307	+	0.236350i
$611$	57.8198	−	25.7431i	2.33914	−	1.04145i
$612$	−7.58131	−	10.7811i	−0.306456	−	0.435801i
$613$	−15.7474	−	14.1790i	−0.636031	−	0.572685i	0.286752	−	0.958005i	$-0.407424\pi$
$613$	−15.7474	−	14.1790i	−0.636031	−	0.572685i	−0.922783	+	0.385320i	$0.874091\pi$
$614$	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	$-0.231693\pi$
$618$	−1.63891	+	3.15604i	−0.0659265	+	0.126954i
$619$	−5.32475	+	5.91374i	−0.214020	+	0.237693i	−0.840590	−	0.541672i	$-0.817792\pi$
$619$	−5.32475	+	5.91374i	−0.214020	+	0.237693i	0.626570	+	0.779365i	$0.284458\pi$
$620$	3.38562	+	15.9281i	0.135970	+	0.639688i
$621$	−4.10193	+	0.997856i	−0.164605	+	0.0400426i
$622$	14.6484	−	20.1617i	0.587346	−	0.808413i
$623$	−18.2158	−	31.6521i	−0.729802	−	1.26812i
$624$	11.3168	+	3.12620i	0.453035	+	0.125148i
$625$	1.81017	+	17.2226i	0.0724069	+	0.688906i
$626$	−13.5849	−	23.5298i	−0.542964	−	0.940441i
$627$	0.763940	+	2.58909i	0.0305088	+	0.103398i
$628$	0.0910754	−	0.157747i	0.00363430	−	0.00629480i
$629$	35.0830	−	25.4893i	1.39885	−	1.01632i
$630$	13.4698	−	7.47731i	0.536648	−	0.297903i
$631$	−4.27302	+	13.1510i	−0.170106	+	0.523533i	−0.999376	−	0.0353151i	$-0.988757\pi$
$631$	−4.27302	+	13.1510i	−0.170106	+	0.523533i	0.829270	+	0.558848i	$0.188757\pi$
$632$	3.05091	+	6.85246i	0.121359	+	0.272576i
$633$	−8.55394	−	7.03692i	−0.339988	−	0.279692i
$634$	0.0576347	+	0.271150i	0.00228897	+	0.0107687i
$635$	3.90341	+	0.829694i	0.154902	+	0.0329254i
$636$	0.323707	+	7.24720i	0.0128358	+	0.287370i
$637$	−19.4197	+	43.2934i	−0.769436	+	1.71535i
$638$	−9.95417	+	0.327049i	−0.394090	+	0.0129480i
$639$	−5.12294	+	42.4268i	−0.202660	+	1.67838i
$640$	0.789465	−	1.77317i	0.0312063	−	0.0700906i
$641$	21.1257	+	19.0216i	0.834413	+	0.751309i	0.970939	−	0.239327i	$-0.0769269\pi$
$641$	21.1257	+	19.0216i	0.834413	+	0.751309i	−0.136526	+	0.990637i	$0.543594\pi$
$642$	0.342899	+	2.27875i	0.0135331	+	0.0899349i
$643$	8.11733	+	5.89759i	0.320116	+	0.232578i	0.736225	−	0.676737i	$-0.236606\pi$
$643$	8.11733	+	5.89759i	0.320116	+	0.232578i	−0.416109	+	0.909315i	$0.636606\pi$
$644$	−1.43608	−	1.59939i	−0.0565897	−	0.0630249i
$645$	9.30514	−	7.41690i	0.366389	−	0.292040i
$646$	0.429225	−	2.01935i	0.0168876	−	0.0794501i
$647$	−14.1754	+	31.8384i	−0.557291	+	1.25170i	0.386846	+	0.922144i	$0.373564\pi$
$647$	−14.1754	+	31.8384i	−0.557291	+	1.25170i	−0.944137	+	0.329552i	$0.893102\pi$
$648$	−8.74133	−	2.14223i	−0.343392	−	0.0841546i
$649$	−4.36725	−	9.00127i	−0.171429	−	0.353331i
$650$			8.35533i			0.327723i
$651$	29.6564	+	24.4660i	1.16233	+	0.958898i
$652$	6.54952	+	20.1573i	0.256499	+	0.789422i
$653$	0.787802	−	0.709340i	0.0308291	−	0.0277586i	−0.653572	−	0.756864i	$-0.726730\pi$
$653$	0.787802	−	0.709340i	0.0308291	−	0.0277586i	0.684401	+	0.729106i	$0.260064\pi$
$654$	23.8163	+	19.5925i	0.931290	+	0.766128i
$655$	−11.8709	−	1.24768i	−0.463835	−	0.0487510i
$656$	2.26599	+	2.51664i	0.0884721	+	0.0982582i
$657$	−15.5260	−	17.7884i	−0.605729	−	0.693993i
$658$	−19.9656	−	14.5482i	−0.778340	−	0.567149i
$659$	−14.3495			−0.558978			−0.279489	−	0.960149i	$-0.590165\pi$
$659$	−14.3495			−0.558978			−0.279489	+	0.960149i	$0.590165\pi$
$660$	−10.0588	−	4.81088i	−0.391537	−	0.187263i
$661$	−17.4838	−	30.2828i	−0.680041	−	1.17786i	−0.974968	−	0.222345i	$-0.928629\pi$
$661$	−17.4838	−	30.2828i	−0.680041	−	1.17786i	0.294927	−	0.955520i	$-0.404705\pi$
$662$	14.9084	+	6.63767i	0.579433	+	0.257980i
$663$	−36.7533	+	36.1899i	−1.42738	+	1.40550i
$664$	1.64072	−	5.04963i	0.0636725	−	0.195964i
$665$	2.29401	+	0.748891i	0.0889579	+	0.0290408i
$666$	6.60336	−	28.8665i	0.255875	−	1.11855i
$667$	1.81304	−	1.63247i	0.0702012	−	0.0632094i
$668$	2.69873	−	2.99724i	0.104417	−	0.115967i
$669$	13.0083	+	20.3738i	0.502929	+	0.787695i
$670$	6.59391	+	3.80699i	0.254745	+	0.147077i
$671$	−10.4201	−	13.3940i	−0.402263	−	0.517068i
$672$	−1.14568	−	4.43705i	−0.0441955	−	0.171163i
$673$	4.54195	+	6.25146i	0.175079	+	0.240976i	0.887534	−	0.460742i	$-0.152417\pi$
$673$	4.54195	+	6.25146i	0.175079	+	0.240976i	−0.712455	+	0.701718i	$0.752417\pi$
$674$	4.99734	−	23.5107i	0.192490	−	0.905597i
$675$	−0.186936	−	6.40218i	−0.00719517	−	0.246420i
$676$	3.44399	−	32.7674i	0.132461	−	1.26028i
$677$	10.1920	−	4.53779i	0.391712	−	0.174401i	−0.201423	−	0.979504i	$-0.564557\pi$
$677$	10.1920	−	4.53779i	0.391712	−	0.174401i	0.593135	+	0.805103i	$0.297890\pi$
$678$	1.00788	+	1.26448i	0.0387075	+	0.0485619i
$679$	−5.08160	+	0.526966i	−0.195014	+	0.0202231i
$680$	5.01219	+	6.89869i	0.192209	+	0.264553i
$681$	15.5775	−	7.78621i	0.596933	−	0.298368i
$682$	1.99824	−	27.7532i	0.0765165	−	1.06273i
$683$	17.1776	−	9.91747i	0.657281	−	0.379481i	−0.133959	−	0.990987i	$-0.542769\pi$
$683$	17.1776	−	9.91747i	0.657281	−	0.379481i	0.791240	+	0.611505i	$0.209436\pi$
$684$	−0.685927	−	1.23161i	−0.0262271	−	0.0470918i
$685$	−12.3877	−	38.1254i	−0.473310	−	1.45670i
$686$	18.4267	−	1.85917i	0.703535	−	0.0709835i
$687$	11.0257	+	29.3996i	0.420656	+	1.12166i
$688$	−1.43966	−	3.23352i	−0.0548864	−	0.123277i
$689$	27.7702	−	5.90274i	1.05796	−	0.224877i
$690$	2.64362	−	0.686518i	0.100641	−	0.0261353i
$691$	3.79008	+	36.0602i	0.144181	+	1.37179i	0.792243	+	0.610206i	$0.208913\pi$
$691$	3.79008	+	36.0602i	0.144181	+	1.37179i	−0.648061	+	0.761588i	$0.724420\pi$
$692$	21.8290			0.829815
$693$	−25.6587	+	5.88477i	−0.974694	+	0.223544i
$694$	−7.64636			−0.290252
$695$	−0.775855	−	7.38177i	−0.0294299	−	0.280006i
$696$	5.03422	−	1.30733i	0.190822	−	0.0495542i
$697$	−14.5526	+	3.09326i	−0.551220	+	0.117165i
$698$	12.3362	+	27.7075i	0.466932	+	1.04875i
$699$	1.13133	+	3.01666i	0.0427910	+	0.114100i
$700$	2.82656	−	1.62669i	0.106834	−	0.0614830i
$701$	13.5723	+	41.7711i	0.512617	+	1.57767i	0.787576	+	0.616217i	$0.211336\pi$
$701$	13.5723	+	41.7711i	0.512617	+	1.57767i	−0.274959	+	0.961456i	$0.588664\pi$
$702$	−2.65776	+	35.1216i	−0.100311	+	1.32558i
$703$	4.01695	−	2.31919i	0.151502	−	0.0874698i
$704$	−2.13712	+	2.53628i	−0.0805458	+	0.0955896i
$705$	28.0781	−	14.0344i	1.05748	−	0.528567i
$706$	5.11919	+	7.04597i	0.192663	+	0.265178i
$707$	21.3189	+	29.4288i	0.801781	+	1.10679i
$708$	3.25663	+	4.08573i	0.122392	+	0.153551i
$709$	9.34571	−	4.16098i	0.350985	−	0.156269i	−0.223669	−	0.974665i	$-0.571803\pi$
$709$	9.34571	−	4.16098i	0.350985	−	0.156269i	0.574654	+	0.818396i	$0.305137\pi$
$710$	2.89012	−	27.4977i	0.108464	−	1.03197i
$711$	−18.4073	+	12.9441i	−0.690328	+	0.485441i
$712$	2.86982	−	13.5014i	0.107551	−	0.505988i
$713$	4.00636	+	5.51428i	0.150039	+	0.206511i
$714$	19.3983	+	5.38766i	0.725963	+	0.201628i
$715$	−12.1143	+	41.9210i	−0.453050	+	1.56776i
$716$	2.51123	+	1.44986i	0.0938490	+	0.0541838i
$717$	1.87105	+	2.93047i	0.0698758	+	0.109440i
$718$	−2.85484	+	3.17062i	−0.106542	+	0.118327i
$719$	−7.48582	+	6.74026i	−0.279174	+	0.251369i	−0.796808	−	0.604233i	$-0.793480\pi$
$719$	−7.48582	+	6.74026i	−0.279174	+	0.251369i	0.517634	+	0.855602i	$0.326813\pi$
$720$	5.67629	+	1.29848i	0.211543	+	0.0483916i
$721$	−1.12204	−	5.31505i	−0.0417869	−	0.197943i
$722$	−5.80309	+	17.8601i	−0.215969	+	0.664683i
$723$	−14.6593	+	14.4346i	−0.545185	+	0.536829i
$724$	−11.4443	−	5.09535i	−0.425325	−	0.189367i
$725$	1.85073	+	3.20557i	0.0687345	+	0.119052i
$726$	14.2300	+	12.6691i	0.528126	+	0.470194i
$727$	−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
$729$	1.25070	−	26.9710i	0.0463221	−	0.998927i
$730$	10.2218	+	11.3524i	0.378325	+	0.420172i
$731$	15.4650	+	1.62544i	0.571993	+	0.0601189i
$732$	6.84396	+	5.63020i	0.252960	+	0.208098i
$733$	−26.3979	+	23.7688i	−0.975029	+	0.877920i	−0.992539	−	0.121926i	$-0.961093\pi$
$733$	−26.3979	+	23.7688i	−0.975029	+	0.877920i	0.0175098	+	0.999847i	$0.494426\pi$
$734$	−7.27850	−	22.4009i	−0.268654	−	0.826834i
$735$	−8.66369	+	21.8802i	−0.319565	+	0.807065i
$736$		−	0.812439i		−	0.0299469i
$737$	−9.01842	−	9.37749i	−0.332198	−	0.345424i
$738$	−6.09779	+	8.12592i	−0.224463	+	0.299119i
$739$	−1.75174	+	3.93447i	−0.0644387	+	0.144732i	−0.942894	−	0.333093i	$-0.891908\pi$
$739$	−1.75174	+	3.93447i	−0.0644387	+	0.144732i	0.878455	+	0.477824i	$0.158574\pi$
$740$	−3.98334	+	18.7401i	−0.146430	+	0.688901i
$741$	−4.31427	+	3.43880i	−0.158489	+	0.126327i
$742$	−7.40341	−	8.24531i	−0.271788	−	0.302695i
$743$	36.8659	+	26.7846i	1.35248	+	0.982632i	0.998884	+	0.0472334i	$0.0150405\pi$
$743$	36.8659	+	26.7846i	1.35248	+	0.982632i	0.353594	+	0.935399i	$0.384960\pi$
$744$	2.16227	+	14.3694i	0.0792725	+	0.526808i
$745$	−28.0426	−	25.2497i	−1.02740	−	0.925076i
$746$	−15.2501	+	34.2523i	−0.558347	+	1.25407i
$747$	15.8136	+	1.90946i	0.578590	+	0.0698635i
$748$	−4.95528	−	13.7024i	−0.181183	−	0.501010i
$749$	−2.61262	−	2.35899i	−0.0954631	−	0.0861956i
$750$	0.934974	+	20.9324i	0.0341404	+	0.764342i
$751$	−0.205029	−	0.0435803i	−0.00748163	−	0.00159027i	0.204169	−	0.978936i	$-0.434551\pi$
$751$	−0.205029	−	0.0435803i	−0.00748163	−	0.00159027i	−0.211651	+	0.977345i	$0.567884\pi$
$752$	−1.94130	−	9.13311i	−0.0707920	−	0.333050i
$753$	15.5780	+	12.8153i	0.567693	+	0.467014i
$754$	−8.27921	−	18.5954i	−0.301511	−	0.677205i
$755$	−1.25121	+	3.85082i	−0.0455361	+	0.140146i
$756$	12.3989	−	5.93867i	0.450943	−	0.215987i
$757$	7.94575	−	5.77293i	0.288793	−	0.209821i	−0.433950	−	0.900937i	$-0.642881\pi$
$757$	7.94575	−	5.77293i	0.288793	−	0.209821i	0.722744	+	0.691116i	$0.242881\pi$
$758$	−6.84927	+	11.8633i	−0.248777	+	0.430894i
$759$	−4.66537	−	0.127113i	−0.169342	−	0.00461392i
$760$	0.456043	+	0.789890i	0.0165424	+	0.0286523i
$761$	1.63467	+	15.5529i	0.0592568	+	0.563791i	0.983363	+	0.181654i	$0.0581450\pi$
$761$	1.63467	+	15.5529i	0.0592568	+	0.563791i	−0.924106	+	0.382137i	$0.875188\pi$
$762$	3.43251	+	0.948210i	0.124347	+	0.0343500i
$763$	−47.1082	−	0.0653943i	−1.70543	−	0.00236743i
$764$	−4.48159	+	6.16839i	−0.162138	+	0.223164i
$765$	−17.4091	+	18.7443i	−0.629429	+	0.677701i
$766$	5.09397	+	23.9652i	0.184052	+	0.865899i
$767$	13.6822	−	15.1956i	0.494034	−	0.548681i
$768$	0.798230	−	1.53715i	0.0288036	−	0.0554671i
$769$			8.36702i			0.301722i	0.988555	+	0.150861i	$0.0482047\pi$
$769$			8.36702i			0.301722i	−0.988555	+	0.150861i	$0.951795\pi$
$770$	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	$-0.307074\pi$
$773$	−5.23164	−	4.71059i	−0.188169	−	0.169428i	−0.757831	+	0.652451i	$0.773741\pi$
$774$	8.68599	−	6.10802i	0.312212	−	0.219548i
$775$	−9.44716	+	4.20615i	−0.339352	+	0.151089i
$776$	−1.56218	−	1.13499i	−0.0560791	−	0.0407438i
$777$	20.1674	+	40.4886i	0.723503	+	1.45252i
$778$	−18.0112	+	5.85218i	−0.645732	+	0.209811i
$779$	−1.58263	+	0.166341i	−0.0567035	+	0.00595978i
$780$	1.36837	−	22.7472i	0.0489954	−	0.814481i
$781$	−17.7887	+	43.7684i	−0.636530	+	1.56616i
$782$	3.09109	+	1.78464i	0.110537	+	0.0638186i
$783$	6.75990	+	14.0633i	0.241579	+	0.502581i
$784$	5.65167	+	4.13020i	0.201845	+	0.147507i
$785$	−0.336246	−	0.109253i	−0.0120011	−	0.00389940i
$786$	−10.5072	−	1.74746i	−0.374779	−	0.0623299i
$787$	−0.184282	−	0.0193688i	−0.00656893	−	0.000690423i	0.101243	−	0.994862i	$-0.467718\pi$
$787$	−0.184282	−	0.0193688i	−0.00656893	−	0.000690423i	−0.107812	+	0.994171i	$0.534385\pi$
$788$	3.17658	−	0.675203i	0.113161	−	0.0240531i
$789$	37.0119	+	37.5881i	1.31766	+	1.33817i
$790$	11.7786	−	8.55765i	0.419063	−	0.304467i
$791$	−2.41534	−	0.516901i	−0.0858794	−	0.0183789i
$792$	−8.70209	−	4.82428i	−0.309215	−	0.171423i
$793$	17.3414	−	30.0362i	0.615812	−	1.06662i
$794$	−8.68995	−	3.86901i	−0.308395	−	0.137306i
$795$	13.6286	−	3.53919i	0.483356	−	0.125522i
$796$	−11.3497	−	12.6051i	−0.402279	−	0.446776i
$797$	−13.9137	+	19.1506i	−0.492850	+	0.678350i	−0.980910	−	0.194460i	$-0.937705\pi$
$797$	−13.9137	+	19.1506i	−0.492850	+	0.678350i	0.488060	+	0.872810i	$0.337705\pi$
$798$	2.00327	+	0.789997i	0.0709148	+	0.0279656i
$799$	39.0131	+	12.6761i	1.38018	+	0.448449i
$800$	1.20569	+	0.256277i	0.0426275	+	0.00906076i
$801$	41.4043	+	0.639591i	1.46295	+	0.0225988i
$802$	−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
$807$	14.9243	−	2.24577i	0.525362	−	0.0790549i
$808$	−1.43570	+	13.6598i	−0.0505077	+	0.480549i
$809$	4.21338	−	40.0877i	0.148135	−	1.40941i	−0.627692	−	0.778462i	$-0.716000\pi$
$809$	4.21338	−	40.0877i	0.148135	−	1.40941i	0.775827	−	0.630946i	$-0.217333\pi$
$810$	−0.539567	+	17.4604i	−0.0189585	+	0.613497i
$811$	−20.0802	+	6.52446i	−0.705112	+	0.229105i	−0.639557	−	0.768744i	$-0.720882\pi$
$811$	−20.0802	+	6.52446i	−0.705112	+	0.229105i	−0.0655557	+	0.997849i	$0.520882\pi$
$812$	−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
$816$	4.09497	+	6.41360i	0.143352	+	0.224521i
$817$	1.62692	+	0.345813i	0.0569188	+	0.0120985i
$818$	11.2499	+	3.65531i	0.393343	+	0.127805i
$819$	−30.8871	−	44.0534i	−1.07928	−	1.53935i
$820$	3.86354	−	5.31771i	0.134921	−	0.185702i
$821$	−26.5963	−	29.5382i	−0.928218	−	1.03089i	−0.999441	−	0.0334301i	$-0.989357\pi$
$821$	−26.5963	−	29.5382i	−0.928218	−	1.03089i	0.0712231	−	0.997460i	$-0.477310\pi$
$822$	−8.99148	−	34.6241i	−0.313614	−	1.20765i
$823$	−4.60882	−	2.05198i	−0.160653	−	0.0715274i	0.324835	−	0.945771i	$-0.394691\pi$
$823$	−4.60882	−	2.05198i	−0.160653	−	0.0715274i	−0.485488	+	0.874243i	$0.661358\pi$
$824$	1.02659	−	1.77810i	0.0357629	−	0.0619431i
$825$	1.66029	−	6.88349i	0.0578040	−	0.239652i
$826$	−7.80434	−	1.67019i	−0.271548	−	0.0581133i
$827$	−28.4600	+	20.6774i	−0.989650	+	0.719023i	−0.959844	−	0.280533i	$-0.909489\pi$
$827$	−28.4600	+	20.6774i	−0.989650	+	0.719023i	−0.0298059	+	0.999556i	$0.509489\pi$
$828$	2.39160	−	0.469863i	0.0831138	−	0.0163289i
$829$	49.4799	−	10.5173i	1.71851	−	0.365280i	0.759907	−	0.650031i	$-0.225244\pi$
$829$	49.4799	−	10.5173i	1.71851	−	0.365280i	0.958601	+	0.284751i	$0.0919110\pi$
$830$	−10.2491	−	1.07723i	−0.355753	−	0.0373911i
$831$	−2.55338	+	15.3530i	−0.0885757	+	0.532590i
$832$	−6.44672	−	2.09467i	−0.223500	−	0.0726195i
$833$	−28.1289	+	12.4303i	−0.974609	+	0.430686i
$834$	−0.295553	−	6.61690i	−0.0102342	−	0.229124i
$835$	−6.77952	−	3.91416i	−0.234615	−	0.135455i
$836$	−0.373920	−	1.51300i	−0.0129323	−	0.0523283i
$837$	−41.0491	+	14.6755i	−1.41886	+	0.507258i
$838$	−13.7635	+	1.44661i	−0.475454	+	0.0499722i
$839$	−34.4139	+	11.1818i	−1.18810	+	0.386037i	−0.835370	−	0.549688i	$-0.814747\pi$
$839$	−34.4139	+	11.1818i	−1.18810	+	0.386037i	−0.352730	+	0.935725i	$0.614747\pi$
$840$	−7.96166	+	3.96571i	−0.274703	+	0.136830i
$841$	16.1662	+	11.7454i	0.557454	+	0.405014i
$842$	15.3490	−	6.83383i	0.528963	−	0.235509i
$843$	0.573983	+	0.225433i	0.0197690	+	0.00776432i
$844$	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
$849$	21.6917	+	11.2643i	0.744456	+	0.386590i
$850$	−3.62353	+	4.02433i	−0.124286	+	0.138034i
$851$	1.66732	+	7.84412i	0.0571549	+	0.268893i
$852$	4.04780	−	24.3387i	0.138675	−	0.833831i
$853$	6.35392	−	8.74541i	0.217554	−	0.299437i	−0.686266	−	0.727351i	$-0.740751\pi$
$853$	6.35392	−	8.74541i	0.217554	−	0.299437i	0.903820	+	0.427914i	$0.140751\pi$
$854$	−13.5372	−	0.0187920i	−0.463235	−	0.000643050i
$855$	−2.06147	+	1.79929i	−0.0705010	+	0.0615344i
$856$	−0.139070	−	1.32316i	−0.00475330	−	0.0452246i
$857$	12.9395	+	22.4118i	0.442004	+	0.765574i	0.997838	−	0.0657197i	$-0.0209343\pi$
$857$	12.9395	+	22.4118i	0.442004	+	0.765574i	−0.555834	+	0.831293i	$0.687601\pi$
$858$	−13.0371	+	36.6921i	−0.445080	+	1.25265i
$859$	5.09217	−	8.81990i	0.173743	−	0.300931i	−0.765983	−	0.642861i	$-0.777747\pi$
$859$	5.09217	−	8.81990i	0.173743	−	0.300931i	0.939725	+	0.341930i	$0.111081\pi$
$860$	−5.55805	+	4.03816i	−0.189528	+	0.137700i
$861$	−0.670955	−	15.5042i	−0.0228661	−	0.528383i
$862$	6.98673	−	21.5030i	0.237969	−	0.732393i
$863$	−13.1619	−	29.5621i	−0.448036	−	1.00631i	−0.986516	−	0.163667i	$-0.947668\pi$
$863$	−13.1619	−	29.5621i	−0.448036	−	1.00631i	0.538480	−	0.842639i	$-0.318999\pi$
$864$	4.98659	+	1.46078i	0.169647	+	0.0496968i
$865$	−8.80912	−	41.4437i	−0.299519	−	1.40913i
$866$	9.42686	+	2.00374i	0.320338	+	0.0680899i
$867$	−3.98146	+	0.177837i	−0.135217	+	0.00603968i
$868$	−16.4748	−	14.8754i	−0.559190	−	0.504904i
$869$	−23.3950	+	8.46048i	−0.793622	+	0.287002i
$870$	−4.51361	−	9.03019i	−0.153026	−	0.306152i
$871$	10.8153	−	24.2916i	0.366462	−	0.823088i
$872$	−13.2319	−	11.9140i	−0.448088	−	0.403460i
$873$	2.43764	−	5.25504i	0.0825016	−	0.177856i
$874$	0.308862	+	0.224402i	0.0104474	+	0.00759050i
$875$	−21.3836	−	23.8152i	−0.722896	−	0.805102i
$876$	8.49677	+	10.6599i	0.287079	+	0.360165i
$877$	−6.66011	+	31.3334i	−0.224896	+	1.05805i	0.710294	+	0.703906i	$0.248562\pi$
$877$	−6.66011	+	31.3334i	−0.224896	+	1.05805i	−0.935190	+	0.354147i	$0.884771\pi$
$878$	−15.2059	+	34.1529i	−0.513173	+	1.15260i
$879$	−0.398189	+	6.61934i	−0.0134306	+	0.223265i
$880$	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	$0.922124\pi$
$882$	−8.88962	+	19.0256i	−0.299329	+	0.640626i
$883$	−14.8097	−	45.5797i	−0.498387	−	1.53388i	−0.811611	−	0.584199i	$-0.801409\pi$
$883$	−14.8097	−	45.5797i	−0.498387	−	1.53388i	0.313223	−	0.949679i	$-0.398591\pi$
$884$	22.1307	−	19.9266i	0.744337	−	0.670204i
$885$	6.44277	−	7.83170i	0.216571	−	0.263260i
$886$	−23.9588	−	2.51817i	−0.804910	−	0.0845995i
$887$	−12.9752	−	14.4104i	−0.435663	−	0.483853i	0.484832	−	0.874607i	$-0.338881\pi$
$887$	−12.9752	−	14.4104i	−0.435663	−	0.483853i	−0.920495	+	0.390755i	$0.872214\pi$
$888$	−4.55233	+	16.4794i	−0.152766	+	0.553012i
$889$	−4.97241	+	2.20559i	−0.166769	+	0.0739732i
$890$	−26.7914			−0.898049
$891$	9.16863	−	28.4066i	0.307161	−	0.951658i
$892$	−6.97798	−	12.0862i	−0.233640	−	0.404676i
$893$	4.00831	+	1.78461i	0.134133	+	0.0597198i
$894$	−23.6260	−	23.9938i	−0.790173	−	0.802473i
$895$	1.73923	−	5.35280i	0.0581361	−	0.178925i
$896$	0.546490	+	2.58870i	0.0182569	+	0.0864823i
$897$	−3.34945	−	8.93117i	−0.111835	−	0.298203i
$898$	7.97928	−	7.18458i	0.266272	−	0.239753i
$899$	16.8575	−	18.7222i	0.562231	−	0.624420i
$900$	−0.0571160	+	3.69743i	−0.00190387	+	0.123248i
$901$	15.9354	+	9.20030i	0.530885	+	0.306507i
$902$	−8.86491	+	6.89662i	−0.295169	+	0.229632i
$903$	−4.34066	+	15.6286i	−0.144448	+	0.520086i
$904$	−0.548746	−	0.755284i	−0.0182510	−	0.0251204i
$905$	−5.05544	+	23.7840i	−0.168048	+	0.790606i
$906$	−1.32086	+	3.36309i	−0.0438826	+	0.111731i
$907$	3.16393	−	30.1027i	0.105056	−	0.999545i	−0.807298	−	0.590144i	$-0.799071\pi$
$907$	3.16393	−	30.1027i	0.105056	−	0.999545i	0.912355	−	0.409401i	$-0.134262\pi$
$908$	−9.18533	+	4.08957i	−0.304826	+	0.135717i
$909$	−41.0409	+	3.67363i	−1.36124	+	0.121847i
$910$	20.4216	+	28.1901i	0.676968	+	0.934491i
$911$	3.81440	+	5.25007i	0.126377	+	0.173943i	0.867517	−	0.497408i	$-0.165715\pi$
$911$	3.81440	+	5.25007i	0.126377	+	0.173943i	−0.741140	+	0.671350i	$0.765715\pi$
$912$	0.363896	+	0.728033i	0.0120498	+	0.0241076i
$913$	16.3137	+	6.63034i	0.539905	+	0.219432i
$914$	9.33121	−	5.38738i	0.308649	−	0.178199i
$915$	7.92737	−	15.2657i	0.262071	−	0.504669i
$916$	−5.60193	−	17.2410i	−0.185093	−	0.569658i
$917$	14.1019	−	8.11566i	0.465686	−	0.268003i
$918$	−16.5116	+	15.7637i	−0.544964	+	0.520279i
$919$	14.2157	+	31.9290i	0.468932	+	1.05324i	0.980949	+	0.194264i	$0.0622318\pi$
$919$	14.2157	+	31.9290i	0.468932	+	1.05324i	−0.512017	+	0.858975i	$0.671102\pi$
$920$	−1.54246	+	0.327860i	−0.0508535	+	0.0108092i
$921$	−7.55613	−	29.0969i	−0.248983	−	0.958776i
$922$	1.66003	+	15.7941i	0.0546701	+	0.520152i
$923$	−96.5594			−3.17829
$924$	14.9509	−	2.73315i	0.491849	−	0.0899142i
$925$	−12.1669			−0.400045
$926$	−1.38243	−	13.1530i	−0.0454295	−	0.432233i
$927$	5.82796	+	1.99365i	0.191415	+	0.0654801i
$928$	−2.93730	+	0.624341i	−0.0964214	+	0.0204950i
$929$	−0.382239	−	0.858523i	−0.0125409	−	0.0281672i	0.907166	−	0.420772i	$-0.138241\pi$
$929$	−0.382239	−	0.858523i	−0.0125409	−	0.0281672i	−0.919707	+	0.392605i	$0.871574\pi$
$930$	26.4086	−	9.90397i	0.865971	−	0.324764i
$931$	−3.13120	+	1.00779i	−0.102621	+	0.0330289i
$932$	−0.574809	−	1.76908i	−0.0188285	−	0.0579481i
$933$	−38.3078	−	19.8929i	−1.25414	−	0.651265i
$934$	−24.2348	+	13.9920i	−0.792987	+	0.457831i
$935$	−24.0151	+	14.9375i	−0.785378	+	0.488509i
$936$	2.43775	−	20.1888i	0.0796804	−	0.659892i
$937$	−5.14267	−	7.07828i	−0.168004	−	0.231237i	0.716711	−	0.697370i	$-0.245647\pi$
$937$	−5.14267	−	7.07828i	−0.168004	−	0.231237i	−0.884715	+	0.466133i	$0.845647\pi$
$938$	−10.3233	+	1.07054i	−0.337068	+	0.0349543i
$939$	−36.7998	+	29.3323i	−1.20092	+	0.957222i
$940$	−16.5563	+	7.37135i	−0.540008	+	0.240427i
$941$	−4.83917	+	46.0416i	−0.157752	+	1.50091i	0.573725	+	0.819048i	$0.305498\pi$
$941$	−4.83917	+	46.0416i	−0.157752	+	1.50091i	−0.731477	+	0.681866i	$0.761169\pi$
$942$	−0.293657	−	0.115334i	−0.00956788	−	0.00375780i
$943$	0.572027	−	2.69118i	0.0186278	−	0.0876368i
$944$	−1.77309	−	2.44044i	−0.0577091	−	0.0794297i
$945$	−16.2785	−	21.1434i	−0.529539	−	0.687796i
$946$	11.0396	−	3.99231i	0.358928	−	0.129801i
$947$	−2.63604	−	1.52192i	−0.0856597	−	0.0494557i	0.456558	−	0.889693i	$-0.349082\pi$
$947$	−2.63604	−	1.52192i	−0.0856597	−	0.0494557i	−0.542218	+	0.840238i	$0.682415\pi$
$948$	10.9504	−	6.99160i	0.355651	−	0.227077i
$949$	35.6976	−	39.6462i	1.15879	−	1.28697i
$950$	−0.430448	+	0.387577i	−0.0139656	+	0.0125747i
$951$	0.449562	−	0.168599i	0.0145781	−	0.00546719i
$952$	−11.0497	−	3.60722i	−0.358121	−	0.116911i
$953$	10.5105	−	32.3479i	0.340468	−	1.04785i	−0.623498	−	0.781825i	$-0.714289\pi$
$953$	10.5105	−	32.3479i	0.340468	−	1.04785i	0.963966	−	0.266027i	$-0.0857110\pi$
$954$	12.3293	−	2.42227i	0.399177	−	0.0784239i
$955$	13.5196	+	6.01931i	0.437484	+	0.194780i
$956$	−1.00368	−	1.73843i	−0.0324614	−	0.0562247i
$957$	3.12567	+	16.9649i	0.101039	+	0.548397i
$958$	15.2392			0.492355
$959$	44.1628	+	32.1799i	1.42609	+	1.03914i
$960$	−3.24049	−	0.895167i	−0.104586	−	0.0288914i
$961$	26.3537	+	29.2688i	0.850120	+	0.944154i
$962$	66.5420	+	6.99385i	2.14540	+	0.225491i
$963$	3.81459	−	1.17461i	0.122923	−	0.0378514i
$964$	8.82699	−	7.94786i	0.284298	−	0.255983i
$965$	−9.22129	−	28.3802i	−0.296844	−	0.913591i
$966$	−2.36926	+	2.87190i	−0.0762298	+	0.0924017i
$967$		−	37.6464i		−	1.21063i	−0.795988	−	0.605313i	$-0.793048\pi$
$967$		−	37.6464i		−	1.21063i	0.795988	−	0.605313i	$-0.206952\pi$
$968$	−7.88114	−	7.67382i	−0.253310	−	0.246646i
$969$	−3.56930	−	0.214713i	−0.114662	−	0.00689756i
$970$	−1.52443	+	3.42392i	−0.0489464	+	0.109935i
$971$	−2.01211	+	9.46621i	−0.0645715	+	0.303785i	−0.998568	−	0.0534970i	$-0.982963\pi$
$971$	−2.01211	+	9.46621i	−0.0645715	+	0.303785i	0.933996	+	0.357282i	$0.116297\pi$
$972$	−1.41621	+	15.5240i	−0.0454250	+	0.497932i
$973$	6.75952	+	7.52820i	0.216700	+	0.241343i
$974$	−8.04505	−	5.84507i	−0.257780	−	0.187288i
$975$	14.3107	−	2.15344i	0.458310	−	0.0689652i
$976$	−3.80238	−	3.42368i	−0.121711	−	0.109589i
$977$	8.93454	−	20.0673i	0.285841	−	0.642010i	−0.712369	−	0.701805i	$-0.752378\pi$
$977$	8.93454	−	20.0673i	0.285841	−	0.642010i	0.998211	+	0.0597946i	$0.0190446\pi$
$978$	32.8368	−	16.4130i	1.05001	−	0.524830i
$979$	43.9801	+	12.7093i	1.40561	+	0.406192i
$980$	5.56069	−	12.3968i	0.177630	−	0.396001i
$981$	27.4192	−	45.8414i	0.875428	−	1.46360i
$982$	−5.09122	−	1.08217i	−0.162467	−	0.0345335i
$983$	−0.287220	−	1.35126i	−0.00916089	−	0.0430986i	0.973330	−	0.229411i	$-0.0736798\pi$
$983$	−0.287220	−	1.35126i	−0.00916089	−	0.0430986i	−0.982491	+	0.186312i	$0.940347\pi$
$984$	3.72640	−	4.52974i	0.118793	−	0.144403i
$985$	−2.56382	−	5.75844i	−0.0816902	−	0.183479i
$986$	4.07676	−	12.5470i	0.129831	−	0.399577i
$987$	−19.7720	+	37.9460i	−0.629349	+	1.20783i
$988$	2.57696	−	1.87227i	0.0819839	−	0.0595648i
$989$	−1.43783	+	2.49039i	−0.0457202	+	0.0791897i
$990$	−5.64744	+	18.4683i	−0.179487	+	0.586960i
$991$	12.0363	+	20.8475i	0.382347	+	0.662244i	0.991397	−	0.130887i	$-0.0417827\pi$
$991$	12.0363	+	20.8475i	0.382347	+	0.662244i	−0.609050	+	0.793131i	$0.708449\pi$
$992$	−0.876950	−	8.34362i	−0.0278432	−	0.264910i
$993$	7.52639	−	27.2454i	0.238843	−	0.864608i
$994$	18.7990	+	32.6655i	0.596268	+	1.03609i
$995$	−19.3513	+	26.6348i	−0.613479	+	0.844381i
$996$	−9.07171	−	1.50873i	−0.287448	−	0.0478059i
$997$	10.7861	+	50.7446i	0.341599	+	1.60710i	0.728547	+	0.684995i	$0.240196\pi$
$997$	10.7861	+	50.7446i	0.341599	+	1.60710i	−0.386948	+	0.922101i	$0.626471\pi$
$998$	7.12044	−	7.90805i	0.225394	−	0.250325i
$999$	−51.1436	−	3.87020i	−1.61811	−	0.122448i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.bc.a.107.15	yes	128
3.2	odd	2		462.2.bc.b.107.9	yes	128
7.4	even	3	inner	462.2.bc.a.305.4	yes	128
11.7	odd	10		462.2.bc.b.359.2	yes	128
21.11	odd	6		462.2.bc.b.305.2	yes	128
33.29	even	10	inner	462.2.bc.a.359.4	yes	128
77.18	odd	30		462.2.bc.b.95.9	yes	128
231.95	even	30	inner	462.2.bc.a.95.15	✓	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.bc.a.95.15	✓	128	231.95	even	30	inner
462.2.bc.a.107.15	yes	128	1.1	even	1	trivial
462.2.bc.a.305.4	yes	128	7.4	even	3	inner
462.2.bc.a.359.4	yes	128	33.29	even	10	inner
462.2.bc.b.95.9	yes	128	77.18	odd	30
462.2.bc.b.107.9	yes	128	3.2	odd	2
462.2.bc.b.305.2	yes	128	21.11	odd	6
462.2.bc.b.359.2	yes	128	11.7	odd	10

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)

\(f(q)\)	\(=\)	\(q+(0.104528 + 0.994522i) q^{2} +(1.67644 - 0.435353i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.789465 + 1.77317i) q^{5} +(0.608205 + 1.62175i) q^{6} +(-2.28945 - 1.32606i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.62093 - 1.45969i) q^{9} +O(q^{10})\)	\(q+(0.104528 + 0.994522i) q^{2} +(1.67644 - 0.435353i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.789465 + 1.77317i) q^{5} +(0.608205 + 1.62175i) q^{6} +(-2.28945 - 1.32606i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.62093 - 1.45969i) q^{9} +(-1.68093 + 0.970486i) q^{10} +(3.21976 - 0.795724i) q^{11} +(-1.54930 + 0.774392i) q^{12} +(3.98429 + 5.48391i) q^{13} +(1.07948 - 2.41552i) q^{14} +(2.09545 + 2.62892i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.459224 + 4.36922i) q^{17} +(1.72566 + 2.45400i) q^{18} +(-0.0977002 + 0.459644i) q^{19} +(-1.14088 - 1.57028i) q^{20} +(-4.41544 - 1.22634i) q^{21} +(1.12792 + 3.11894i) q^{22} +(-0.703593 - 0.406219i) q^{23} +(-0.932096 - 1.45986i) q^{24} +(0.824787 - 0.916019i) q^{25} +(-5.03740 + 4.53569i) q^{26} +(3.75837 - 3.58813i) q^{27} +(2.51512 + 0.821074i) q^{28} +(-0.927952 + 2.85594i) q^{29} +(-2.39548 + 2.35877i) q^{30} +(-7.66426 - 3.41235i) q^{31} +(0.500000 + 0.866025i) q^{32} +(5.05132 - 2.73572i) q^{33} -4.39329 q^{34} +(0.543877 - 5.10645i) q^{35} +(-2.26017 + 1.97272i) q^{36} +(-6.60480 - 7.33538i) q^{37} +(-0.467338 - 0.0491192i) q^{38} +(9.06689 + 7.45889i) q^{39} +(1.44242 - 1.29876i) q^{40} +(1.04648 + 3.22072i) q^{41} +(0.758082 - 4.51944i) q^{42} -3.53953i q^{43} +(-2.98396 + 1.44776i) q^{44} +(4.65741 + 3.49498i) q^{45} +(0.330449 - 0.742200i) q^{46} +(1.94130 - 9.13311i) q^{47} +(1.35443 - 1.07959i) q^{48} +(3.48316 + 6.07187i) q^{49} +(0.997214 + 0.724519i) q^{50} +(1.13229 + 7.52468i) q^{51} +(-5.03740 - 4.53569i) q^{52} +(1.70355 - 3.82624i) q^{53} +(3.96133 + 3.36272i) q^{54} +(3.95283 + 5.08097i) q^{55} +(-0.553675 + 2.58717i) q^{56} +(0.0363183 + 0.813101i) q^{57} +(-2.93730 - 0.624341i) q^{58} +(-0.627177 - 2.95064i) q^{59} +(-2.59624 - 2.13580i) q^{60} +(-2.08111 - 4.67425i) q^{61} +(2.59252 - 7.97896i) q^{62} +(-7.93613 - 0.133613i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-6.57843 + 11.3942i) q^{65} +(3.24874 + 4.73769i) q^{66} +(-1.96138 - 3.39722i) q^{67} +(-0.459224 - 4.36922i) q^{68} +(-1.35638 - 0.374693i) q^{69} +(5.13533 + 0.00712871i) q^{70} +(-8.37299 + 11.5244i) q^{71} +(-2.19816 - 2.04159i) q^{72} +(-1.63635 - 7.69840i) q^{73} +(6.60480 - 7.33538i) q^{74} +(0.983918 - 1.89473i) 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} +(4.73860 - 7.65152i) q^{81} +(-3.09369 + 1.37740i) q^{82} +(4.29547 + 3.12084i) q^{83} +(4.57392 + 0.281519i) q^{84} +(-8.10990 + 2.63507i) q^{85} +(3.52014 - 0.369981i) q^{86} +(-0.312316 + 5.19182i) q^{87} +(-1.75174 - 2.81628i) q^{88} +(11.9538 + 6.90154i) q^{89} +(-2.98900 + 4.99722i) q^{90} +(-1.84987 - 17.8385i) q^{91} +(0.772675 + 0.251057i) q^{92} +(-14.3343 - 2.38395i) q^{93} +(9.28600 + 0.975997i) q^{94} +(-0.892156 + 0.189634i) q^{95} +(1.21525 + 1.23417i) q^{96} +(1.56218 - 1.13499i) q^{97} +(-5.67452 + 4.09876i) q^{98} +(7.27726 - 6.78539i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 q^{9}+O(q^{10}) \) 128 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 4 * q^9	\( 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 q^{9} + 6 q^{11} - 12 q^{15} + 16 q^{16} + 2 q^{17} + 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} - 38 q^{29} - 6 q^{30} - 3 q^{31} + 64 q^{32} - 4 q^{33} - 16 q^{34} + 31 q^{35} + 8 q^{36} + 2 q^{37} + 22 q^{39} + 5 q^{40} - 16 q^{41} + 17 q^{42} + q^{44} + 28 q^{45} + 38 q^{49} - 34 q^{50} + 16 q^{51} - 25 q^{53} + 6 q^{54} - 42 q^{55} + 20 q^{57} - 19 q^{58} - 40 q^{59} - 4 q^{60} + 40 q^{61} + 4 q^{62} + 6 q^{63} - 32 q^{64} - 20 q^{65} - 41 q^{66} + 16 q^{67} + 2 q^{68} - 68 q^{69} - 21 q^{70} - 80 q^{71} - 16 q^{72} + 10 q^{73} - 2 q^{74} - 14 q^{75} - q^{77} - 16 q^{78} + 5 q^{80} - 88 q^{81} - 8 q^{82} + 92 q^{83} - 48 q^{84} - 100 q^{85} + 40 q^{86} + 38 q^{87} - q^{88} - 164 q^{90} + 12 q^{91} + 20 q^{92} + 47 q^{93} + 40 q^{94} - 38 q^{95} - 16 q^{97} - 18 q^{98} - 138 q^{99}+O(q^{100}) \) 128 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 4 * 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 - 4 * q^33 - 16 * q^34 + 31 * q^35 + 8 * q^36 + 2 * q^37 + 22 * q^39 + 5 * q^40 - 16 * q^41 + 17 * q^42 + q^44 + 28 * q^45 + 38 * q^49 - 34 * q^50 + 16 * q^51 - 25 * q^53 + 6 * q^54 - 42 * q^55 + 20 * q^57 - 19 * q^58 - 40 * q^59 - 4 * q^60 + 40 * q^61 + 4 * q^62 + 6 * q^63 - 32 * q^64 - 20 * q^65 - 41 * q^66 + 16 * q^67 + 2 * q^68 - 68 * q^69 - 21 * q^70 - 80 * q^71 - 16 * q^72 + 10 * q^73 - 2 * q^74 - 14 * q^75 - q^77 - 16 * q^78 + 5 * q^80 - 88 * q^81 - 8 * q^82 + 92 * q^83 - 48 * q^84 - 100 * q^85 + 40 * q^86 + 38 * q^87 - q^88 - 164 * q^90 + 12 * q^91 + 20 * q^92 + 47 * q^93 + 40 * q^94 - 38 * q^95 - 16 * q^97 - 18 * q^98 - 138 * q^99

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