LMFDB - Embedded newform 588.2.x.a.559.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			559.11
Character	$\chi$	$=$	588.559
Dual form			588.2.x.a.223.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.714341 + 1.22054i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.979434 - 1.74376i) q^{4} +(-0.481364 + 0.109868i) q^{5} +(1.34889 + 0.424835i) q^{6} +(2.64383 - 0.100845i) q^{7} +(2.82798 + 0.0502026i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})$	\(q+(-0.714341 + 1.22054i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.979434 - 1.74376i) q^{4} +(-0.481364 + 0.109868i) q^{5} +(1.34889 + 0.424835i) q^{6} +(2.64383 - 0.100845i) q^{7} +(2.82798 + 0.0502026i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(0.209759 - 0.666007i) q^{10} +(-1.67567 + 3.47956i) q^{11} +(-1.48210 + 1.34290i) q^{12} +(2.14429 - 4.45265i) q^{13} +(-1.76551 + 3.29894i) q^{14} +(0.214227 + 0.444847i) q^{15} +(-2.08142 + 3.41580i) q^{16} +(-4.80460 - 3.83154i) q^{17} +(0.114027 - 1.40961i) q^{18} +4.39068 q^{19} +(0.663048 + 0.731775i) q^{20} +(-0.686624 - 2.55510i) q^{21} +(-3.04994 - 4.53081i) q^{22} +(4.21504 - 3.36138i) q^{23} +(-0.580341 - 2.76825i) q^{24} +(-4.28520 + 2.06365i) q^{25} +(3.90289 + 5.79790i) q^{26} +(0.623490 + 0.781831i) q^{27} +(-2.76531 - 4.51144i) q^{28} +(2.16863 - 2.71938i) q^{29} +(-0.695984 - 0.0562998i) q^{30} +7.28223 q^{31} +(-2.68228 - 4.98050i) q^{32} +(3.76519 + 0.859380i) q^{33} +(8.10868 - 3.12718i) q^{34} +(-1.26156 + 0.339015i) q^{35} +(1.63903 + 1.14612i) q^{36} +(5.96419 - 7.47886i) q^{37} +(-3.13644 + 5.35900i) q^{38} +(-4.81817 - 1.09971i) q^{39} +(-1.36680 + 0.286539i) q^{40} +(7.01981 - 1.60223i) q^{41} +(3.60909 + 0.987163i) q^{42} +(-1.75321 - 0.400160i) q^{43} +(7.70873 - 0.486033i) q^{44} +(0.386024 - 0.307844i) q^{45} +(1.09173 + 7.54580i) q^{46} +(0.0243075 + 0.0117059i) q^{47} +(3.79332 + 1.26914i) q^{48} +(6.97966 - 0.533232i) q^{49} +(0.542335 - 6.70441i) q^{50} +(-2.66635 + 5.53674i) q^{51} +(-9.86456 + 0.621957i) q^{52} +(5.85961 + 7.34772i) q^{53} +(-1.39964 + 0.202500i) q^{54} +(0.424313 - 1.85904i) q^{55} +(7.48176 - 0.152460i) q^{56} +(-0.977018 - 4.28060i) q^{57} +(1.76997 + 4.58947i) q^{58} +(1.17297 - 5.13913i) q^{59} +(0.565886 - 0.809259i) q^{60} +(-10.6765 - 8.51419i) q^{61} +(-5.20199 + 8.88825i) q^{62} +(-2.33825 + 1.23797i) q^{63} +(7.99496 + 0.283944i) q^{64} +(-0.542976 + 2.37893i) q^{65} +(-3.73854 + 3.98167i) q^{66} -9.84894i q^{67} +(-1.97551 + 12.1308i) q^{68} +(-4.21504 - 3.36138i) q^{69} +(0.487404 - 1.78196i) q^{70} +(-10.4933 + 8.36816i) q^{71} +(-2.56971 + 1.18178i) q^{72} +(-3.24450 - 6.73728i) q^{73} +(4.86778 + 12.6220i) q^{74} +(2.96545 + 3.71856i) q^{75} +(-4.30038 - 7.65630i) q^{76} +(-4.07928 + 9.36834i) q^{77} +(4.78406 - 5.09519i) q^{78} +6.48716i q^{79} +(0.626631 - 1.87292i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-3.05896 + 9.71250i) q^{82} +(0.367717 - 0.177083i) q^{83} +(-3.78299 + 3.69986i) q^{84} +(2.73373 + 1.31649i) q^{85} +(1.74080 - 1.85402i) q^{86} +(-3.13377 - 1.50914i) q^{87} +(-4.91344 + 9.75601i) q^{88} +(5.31138 + 11.0292i) q^{89} +(0.0999829 + 0.691062i) q^{90} +(5.22010 - 11.9883i) q^{91} +(-9.98981 - 4.05778i) q^{92} +(-1.62045 - 7.09965i) q^{93} +(-0.0316514 + 0.0213063i) q^{94} +(-2.11351 + 0.482396i) q^{95} +(-4.25876 + 3.72330i) q^{96} +9.83181i q^{97} +(-4.33503 + 8.89986i) q^{98} -3.86202i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{14}\right)$

Coefficient data

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

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

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

$2$	−0.714341	+	1.22054i	−0.505115	+	0.863052i
$2$	−0.714341	+	1.22054i	−0.505115	+	0.863052i
$3$	−0.222521	−	0.974928i	−0.128473	−	0.562875i
$3$	−0.222521	−	0.974928i	−0.128473	−	0.562875i
$4$	−0.979434	−	1.74376i	−0.489717	−	0.871881i
$5$	−0.481364	+	0.109868i	−0.215272	+	0.0491345i	−0.328797	−	0.944401i	$-0.606643\pi$
$5$	−0.481364	+	0.109868i	−0.215272	+	0.0491345i	0.113524	+	0.993535i	$0.463786\pi$
$6$	1.34889	+	0.424835i	0.550684	+	0.173438i
$7$	2.64383	−	0.100845i	0.999273	−	0.0381157i
$7$	2.64383	−	0.100845i	0.999273	−	0.0381157i
$8$	2.82798	+	0.0502026i	0.999842	+	0.0177493i
$9$	−0.900969	+	0.433884i	−0.300323	+	0.144628i
$10$	0.209759	−	0.666007i	0.0663317	−	0.210610i
$11$	−1.67567	+	3.47956i	−0.505233	+	1.04913i	0.479899	+	0.877324i	$0.340673\pi$
$11$	−1.67567	+	3.47956i	−0.505233	+	1.04913i	−0.985131	+	0.171803i	$0.945041\pi$
$12$	−1.48210	+	1.34290i	−0.427845	+	0.387662i
$13$	2.14429	−	4.45265i	0.594718	−	1.23494i	−0.358746	−	0.933435i	$-0.616795\pi$
$13$	2.14429	−	4.45265i	0.594718	−	1.23494i	0.953463	−	0.301509i	$-0.0974903\pi$
$14$	−1.76551	+	3.29894i	−0.471852	+	0.881678i
$15$	0.214227	+	0.444847i	0.0553132	+	0.114859i
$16$	−2.08142	+	3.41580i	−0.520354	+	0.853950i
$17$	−4.80460	−	3.83154i	−1.16529	−	0.929286i	−0.166896	−	0.985975i	$-0.553374\pi$
$17$	−4.80460	−	3.83154i	−1.16529	−	0.929286i	−0.998392	+	0.0566888i	$0.981946\pi$
$18$	0.114027	−	1.40961i	0.0268763	−	0.332248i
$19$	4.39068			1.00729			0.503645	−	0.863910i	$-0.331992\pi$
$19$	4.39068			1.00729			0.503645	+	0.863910i	$0.331992\pi$
$20$	0.663048	+	0.731775i	0.148262	+	0.163630i
$21$	−0.686624	−	2.55510i	−0.149834	−	0.557569i
$22$	−3.04994	−	4.53081i	−0.650250	−	0.965972i
$23$	4.21504	−	3.36138i	0.878897	−	0.700897i	−0.0762311	−	0.997090i	$-0.524289\pi$
$23$	4.21504	−	3.36138i	0.878897	−	0.700897i	0.955128	+	0.296193i	$0.0957173\pi$
$24$	−0.580341	−	2.76825i	−0.118462	−	0.565067i
$25$	−4.28520	+	2.06365i	−0.857041	+	0.412729i
$26$	3.90289	+	5.79790i	0.765420	+	1.13706i
$27$	0.623490	+	0.781831i	0.119991	+	0.150464i
$28$	−2.76531	−	4.51144i	−0.522594	−	0.852582i
$29$	2.16863	−	2.71938i	0.402705	−	0.504976i	−0.538587	−	0.842570i	$-0.681042\pi$
$29$	2.16863	−	2.71938i	0.402705	−	0.504976i	0.941292	+	0.337594i	$0.109613\pi$
$30$	−0.695984	−	0.0562998i	−0.127069	−	0.0102789i
$31$	7.28223			1.30793			0.653963	−	0.756526i	$-0.273105\pi$
$31$	7.28223			1.30793			0.653963	+	0.756526i	$0.273105\pi$
$32$	−2.68228	−	4.98050i	−0.474165	−	0.880436i
$33$	3.76519	+	0.859380i	0.655436	+	0.149599i
$34$	8.10868	−	3.12718i	1.39063	−	0.536307i
$35$	−1.26156	+	0.339015i	−0.213243	+	0.0573041i
$36$	1.63903	+	1.14612i	0.273172	+	0.191019i
$37$	5.96419	−	7.47886i	0.980507	−	1.22952i	0.00720888	−	0.999974i	$-0.497705\pi$
$37$	5.96419	−	7.47886i	0.980507	−	1.22952i	0.973298	−	0.229543i	$-0.0737232\pi$
$38$	−3.13644	+	5.35900i	−0.508798	+	0.869344i
$39$	−4.81817	−	1.09971i	−0.771524	−	0.176095i
$40$	−1.36680	+	0.286539i	−0.216111	+	0.0453058i
$41$	7.01981	−	1.60223i	1.09631	−	0.250226i	0.364138	−	0.931345i	$-0.381364\pi$
$41$	7.01981	−	1.60223i	1.09631	−	0.250226i	0.732173	+	0.681119i	$0.238506\pi$
$42$	3.60909	+	0.987163i	0.556894	+	0.152323i
$43$	−1.75321	−	0.400160i	−0.267363	−	0.0610238i	0.0867378	−	0.996231i	$-0.472356\pi$
$43$	−1.75321	−	0.400160i	−0.267363	−	0.0610238i	−0.354100	+	0.935207i	$0.615213\pi$
$44$	7.70873	−	0.486033i	1.16214	−	0.0732723i
$45$	0.386024	−	0.307844i	0.0575450	−	0.0458906i
$46$	1.09173	+	7.54580i	0.160966	+	1.11257i
$47$	0.0243075	+	0.0117059i	0.00354562	+	0.00170748i	0.435656	−	0.900113i	$-0.356517\pi$
$47$	0.0243075	+	0.0117059i	0.00354562	+	0.00170748i	−0.432110	+	0.901821i	$0.642231\pi$
$48$	3.79332	+	1.26914i	0.547519	+	0.183185i
$49$	6.97966	−	0.533232i	0.997094	−	0.0761761i
$50$	0.542335	−	6.70441i	0.0766978	−	0.948147i
$51$	−2.66635	+	5.53674i	−0.373364	+	0.775299i
$52$	−9.86456	+	0.621957i	−1.36797	+	0.0862500i
$53$	5.85961	+	7.34772i	0.804880	+	1.00929i	0.999596	+	0.0284278i	$0.00905007\pi$
$53$	5.85961	+	7.34772i	0.804880	+	1.00929i	−0.194716	+	0.980860i	$0.562379\pi$
$54$	−1.39964	+	0.202500i	−0.190467	+	0.0275567i
$55$	0.424313	−	1.85904i	0.0572143	−	0.250672i
$56$	7.48176	−	0.152460i	0.999792	−	0.0203733i
$57$	−0.977018	−	4.28060i	−0.129409	−	0.566979i
$58$	1.76997	+	4.58947i	0.232408	+	0.602627i
$59$	1.17297	−	5.13913i	0.152708	−	0.669058i	−0.839383	−	0.543540i	$-0.817084\pi$
$59$	1.17297	−	5.13913i	0.152708	−	0.669058i	0.992091	−	0.125518i	$-0.0400592\pi$
$60$	0.565886	−	0.809259i	0.0730556	−	0.104475i
$61$	−10.6765	−	8.51419i	−1.36698	−	1.09013i	−0.986217	−	0.165457i	$-0.947090\pi$
$61$	−10.6765	−	8.51419i	−1.36698	−	1.09013i	−0.380763	−	0.924673i	$-0.624339\pi$
$62$	−5.20199	+	8.88825i	−0.660654	+	1.12881i
$63$	−2.33825	+	1.23797i	−0.294592	+	0.155970i
$64$	7.99496	+	0.283944i	0.999370	+	0.0354930i
$65$	−0.542976	+	2.37893i	−0.0673479	+	0.295071i
$66$	−3.73854	+	3.98167i	−0.460182	+	0.490110i
$67$		−	9.84894i		−	1.20324i	−0.798783	−	0.601620i	$-0.794522\pi$
$67$		−	9.84894i		−	1.20324i	0.798783	−	0.601620i	$-0.205478\pi$
$68$	−1.97551	+	12.1308i	−0.239566	+	1.47108i
$69$	−4.21504	−	3.36138i	−0.507431	−	0.404663i
$70$	0.487404	−	1.78196i	0.0582560	−	0.212985i
$71$	−10.4933	+	8.36816i	−1.24533	+	0.993118i	−0.245612	+	0.969368i	$0.578989\pi$
$71$	−10.4933	+	8.36816i	−1.24533	+	0.993118i	−0.999718	+	0.0237498i	$0.992440\pi$
$72$	−2.56971	+	1.18178i	−0.302843	+	0.139275i
$73$	−3.24450	−	6.73728i	−0.379740	−	0.788538i	−0.999991	−	0.00413532i	$-0.998684\pi$
$73$	−3.24450	−	6.73728i	−0.379740	−	0.788538i	0.620251	−	0.784403i	$-0.287031\pi$
$74$	4.86778	+	12.6220i	0.565868	+	1.46728i
$75$	2.96545	+	3.71856i	0.342421	+	0.429382i
$76$	−4.30038	−	7.65630i	−0.493288	−	0.878238i
$77$	−4.07928	+	9.36834i	−0.464877	+	1.06762i
$78$	4.78406	−	5.09519i	0.541688	−	0.576917i
$79$			6.48716i			0.729862i	0.931035	+	0.364931i	$0.118907\pi$
$79$			6.48716i			0.729862i	−0.931035	+	0.364931i	$0.881093\pi$
$80$	0.626631	−	1.87292i	0.0700595	−	0.209399i
$81$	0.623490	−	0.781831i	0.0692766	−	0.0868702i
$82$	−3.05896	+	9.71250i	−0.337806	+	1.07257i
$83$	0.367717	−	0.177083i	0.0403622	−	0.0194374i	−0.413594	−	0.910462i	$-0.635727\pi$
$83$	0.367717	−	0.177083i	0.0403622	−	0.0194374i	0.453956	+	0.891024i	$0.350012\pi$
$84$	−3.78299	+	3.69986i	−0.412758	+	0.403688i
$85$	2.73373	+	1.31649i	0.296514	+	0.142794i
$86$	1.74080	−	1.85402i	0.187716	−	0.199924i
$87$	−3.13377	−	1.50914i	−0.335975	−	0.161797i
$88$	−4.91344	+	9.75601i	−0.523774	+	1.03999i
$89$	5.31138	+	11.0292i	0.563006	+	1.16909i	0.967105	+	0.254378i	$0.0818707\pi$
$89$	5.31138	+	11.0292i	0.563006	+	1.16909i	−0.404099	+	0.914715i	$0.632415\pi$
$90$	0.0999829	+	0.691062i	0.0105391	+	0.0728444i
$91$	5.22010	−	11.9883i	0.547215	−	1.25672i
$92$	−9.98981	−	4.05778i	−1.04151	−	0.423053i
$93$	−1.62045	−	7.09965i	−0.168033	−	0.736199i
$94$	−0.0316514	+	0.0213063i	−0.00326459	+	0.00219758i
$95$	−2.11351	+	0.482396i	−0.216842	+	0.0494927i
$96$	−4.25876	+	3.72330i	−0.434658	+	0.380007i
$97$			9.83181i			0.998269i	0.866525	+	0.499134i	$0.166349\pi$
$97$			9.83181i			0.998269i	−0.866525	+	0.499134i	$0.833651\pi$
$98$	−4.33503	+	8.89986i	−0.437904	+	0.899022i
$99$		−	3.86202i		−	0.388148i
$100$	7.79558	+	5.45117i	0.779558	+	0.545117i
$101$	11.0899	−	2.53120i	1.10349	−	0.251863i	0.368285	−	0.929713i	$-0.379945\pi$
$101$	11.0899	−	2.53120i	1.10349	−	0.251863i	0.735201	+	0.677850i	$0.237088\pi$
$102$	−4.85313	−	7.20951i	−0.480531	−	0.713848i
$103$	2.26827	+	9.93796i	0.223500	+	0.979216i	0.954821	+	0.297183i	$0.0960470\pi$
$103$	2.26827	+	9.93796i	0.223500	+	0.979216i	−0.731321	+	0.682033i	$0.761096\pi$
$104$	6.28754	−	12.4844i	0.616544	−	1.22419i
$105$	0.611240	+	1.15450i	0.0596509	+	0.112667i
$106$	−13.1540	+	1.90311i	−1.27762	+	0.184847i
$107$	−6.30596	−	13.0945i	−0.609620	−	1.26589i	−0.946001	−	0.324163i	$-0.894918\pi$
$107$	−6.30596	−	13.0945i	−0.609620	−	1.26589i	0.336382	−	0.941726i	$-0.390797\pi$
$108$	0.752661	−	1.85297i	0.0724249	−	0.178302i
$109$	−7.43618	−	3.58108i	−0.712257	−	0.343005i	0.0424214	−	0.999100i	$-0.486493\pi$
$109$	−7.43618	−	3.58108i	−0.712257	−	0.343005i	−0.754678	+	0.656095i	$0.772207\pi$
$110$	1.96592	+	1.84588i	0.187443	+	0.175997i
$111$	−8.61851	−	4.15046i	−0.818033	−	0.393944i
$112$	−5.15844	+	9.24070i	−0.487427	+	0.873164i
$113$	0.825872	−	0.397719i	0.0776915	−	0.0374142i	−0.394635	−	0.918838i	$-0.629129\pi$
$113$	0.825872	−	0.397719i	0.0776915	−	0.0374142i	0.472326	+	0.881424i	$0.343415\pi$
$114$	5.92256	+	1.86532i	0.554699	+	0.174703i
$115$	−1.65966	+	2.08115i	−0.154764	+	0.194068i
$116$	−6.86599	−	1.11813i	−0.637491	−	0.103816i
$117$			4.94207i			0.456895i
$118$	5.43461	+	5.10275i	0.500296	+	0.469746i
$119$	−13.0889	−	9.64543i	−1.19986	−	0.884195i
$120$	0.583497	+	1.26877i	0.0532658	+	0.115823i
$121$	−2.44108	−	3.06102i	−0.221917	−	0.278275i
$122$	18.0185	−	6.94900i	1.63132	−	0.629133i
$123$	−3.12411	−	6.48728i	−0.281692	−	0.584939i
$124$	−7.13246	−	12.6985i	−0.640514	−	1.14036i
$125$	3.76613	−	3.00339i	0.336853	−	0.268631i
$126$	0.159315	−	3.73826i	0.0141929	−	0.333031i
$127$	14.0865	+	11.2336i	1.24997	+	0.996821i	0.999589	+	0.0286748i	$0.00912872\pi$
$127$	14.0865	+	11.2336i	1.24997	+	0.996821i	0.250385	+	0.968146i	$0.419443\pi$
$128$	−6.05769	+	9.55533i	−0.535429	+	0.844580i
$129$			1.79830i			0.158332i
$130$	−2.51571	−	2.36209i	−0.220643	−	0.207169i
$131$	−1.47699	+	6.47111i	−0.129045	+	0.565384i	0.868521	+	0.495653i	$0.165071\pi$
$131$	−1.47699	+	6.47111i	−0.129045	+	0.565384i	−0.997566	+	0.0697309i	$0.977786\pi$
$132$	−2.18920	−	7.40731i	−0.190546	−	0.644723i
$133$	11.6082	−	0.442777i	1.00656	−	0.0383936i
$134$	12.0210	+	7.03550i	1.03846	+	0.607775i
$135$	−0.386024	−	0.307844i	−0.0332236	−	0.0264950i
$136$	−13.3950	−	11.0767i	−1.14861	−	0.949822i
$137$	0.387691	−	1.69859i	0.0331227	−	0.145120i	−0.955663	−	0.294464i	$-0.904859\pi$
$137$	0.387691	−	1.69859i	0.0331227	−	0.145120i	0.988785	+	0.149344i	$0.0477161\pi$
$138$	7.11368	−	2.74345i	0.605557	−	0.233538i
$139$	1.84449	+	8.08122i	0.156447	+	0.685440i	0.990927	+	0.134401i	$0.0429112\pi$
$139$	1.84449	+	8.08122i	0.156447	+	0.685440i	−0.834480	+	0.551039i	$0.814232\pi$
$140$	1.82678	+	1.86782i	0.154391	+	0.157860i
$141$	0.00600346	−	0.0263029i	0.000505583	−	0.00221510i
$142$	−2.71785	−	18.7853i	−0.228077	−	1.57642i
$143$	11.9002	+	14.9223i	0.995142	+	1.24787i
$144$	0.393231	−	3.98062i	0.0327693	−	0.331719i
$145$	−0.745128	+	1.54727i	−0.0618795	+	0.128494i
$146$	10.5408	+	0.852669i	0.872362	+	0.0705674i
$147$	−2.07298	−	6.68601i	−0.170977	−	0.551453i
$148$	−18.8829	−	3.07508i	−1.55216	−	0.252770i
$149$	−21.1678	−	10.1939i	−1.73413	−	0.835115i	−0.984969	−	0.172731i	$-0.944741\pi$
$149$	−21.1678	−	10.1939i	−1.73413	−	0.835115i	−0.749165	−	0.662384i	$-0.769545\pi$
$150$	−6.65700	+	0.963134i	−0.543541	+	0.0786395i
$151$	−14.1545	+	11.2879i	−1.15188	+	0.918594i	−0.997587	−	0.0694306i	$-0.977882\pi$
$151$	−14.1545	+	11.2879i	−1.15188	+	0.918594i	−0.154294	+	0.988025i	$0.549310\pi$
$152$	12.4168	+	0.220424i	1.00713	+	0.0178787i
$153$	5.99124	+	1.36746i	0.484363	+	0.110553i
$154$	−8.52043	−	11.6711i	−0.686596	−	0.940485i
$155$	−3.50540	+	0.800085i	−0.281560	+	0.0642643i
$156$	2.80143	+	9.47884i	0.224294	+	0.758914i
$157$	−17.8366	−	4.07108i	−1.42351	−	0.324907i	−0.559689	−	0.828703i	$-0.689079\pi$
$157$	−17.8366	−	4.07108i	−1.42351	−	0.324907i	−0.863823	+	0.503796i	$0.831936\pi$
$158$	−7.91783	−	4.63404i	−0.629909	−	0.368664i
$159$	5.85961	−	7.34772i	0.464698	−	0.582712i
$160$	1.83835	+	2.10273i	0.145334	+	0.166236i
$161$	10.8049	−	9.31199i	0.851543	−	0.733887i
$162$	0.508872	+	1.31949i	0.0399808	+	0.103669i
$163$	−11.0684	−	2.52629i	−0.866944	−	0.197874i	−0.234156	−	0.972199i	$-0.575233\pi$
$163$	−11.0684	−	2.52629i	−0.866944	−	0.197874i	−0.632788	+	0.774325i	$0.718090\pi$
$164$	−9.66935	−	10.6716i	−0.755049	−	0.833313i
$165$	−1.90684			−0.148448
$166$	−0.0465382	+	0.575311i	−0.00361207	+	0.0446528i
$167$	1.67324	−	2.09818i	0.129479	−	0.162362i	−0.712866	−	0.701301i	$-0.752603\pi$
$167$	1.67324	−	2.09818i	0.129479	−	0.162362i	0.842345	+	0.538939i	$0.181174\pi$
$168$	−1.81349	−	7.26025i	−0.139913	−	0.560141i
$169$	−7.12281	−	8.93172i	−0.547908	−	0.687055i
$170$	−3.55964	+	2.39620i	−0.273012	+	0.183780i
$171$	−3.95587	+	1.90504i	−0.302513	+	0.145682i
$172$	1.01937	+	3.44912i	0.0777266	+	0.262993i
$173$	−8.29000	+	6.61105i	−0.630277	+	0.502629i	−0.885735	−	0.464191i	$-0.846345\pi$
$173$	−8.29000	+	6.61105i	−0.630277	+	0.502629i	0.255458	+	0.966820i	$0.417774\pi$
$174$	4.08055	−	2.74684i	0.309345	−	0.208238i
$175$	−11.1212	+	5.88807i	−0.840687	+	0.445096i
$176$	−8.39772	−	12.9662i	−0.633002	−	0.977361i
$177$	−5.27129			−0.396215
$178$	−17.2557	−	1.39585i	−1.29337	−	0.104624i
$179$	−7.53295	−	6.00733i	−0.563039	−	0.449009i	0.300148	−	0.953893i	$-0.402964\pi$
$179$	−7.53295	−	6.00733i	−0.563039	−	0.449009i	−0.863187	+	0.504884i	$0.831535\pi$
$180$	−0.914891	−	0.371621i	−0.0681919	−	0.0276990i
$181$	5.02799	+	10.4407i	0.373728	+	0.776053i	0.999994	−	0.00355604i	$-0.00113193\pi$
$181$	5.02799	+	10.4407i	0.373728	+	0.776053i	−0.626266	+	0.779609i	$0.715418\pi$
$182$	10.9033	+	14.9351i	0.808204	+	1.10706i
$183$	−5.92498	+	12.3034i	−0.437987	+	0.909490i
$184$	12.0888	−	9.29432i	0.891199	−	0.685187i
$185$	−2.04926	+	4.25533i	−0.150664	+	0.312858i
$186$	9.82295	+	3.09375i	0.720254	+	0.226845i
$187$	21.3830	−	10.2975i	1.56368	−	0.753029i
$188$	−0.00339533	−	0.0538517i	−0.000247630	−	0.00392754i
$189$	1.72724	+	2.00415i	0.125639	+	0.145781i
$190$	0.920986	−	2.92422i	0.0668153	−	0.212145i
$191$	−1.83457	+	0.418729i	−0.132745	+	0.0302982i	−0.288377	−	0.957517i	$-0.593116\pi$
$191$	−1.83457	+	0.418729i	−0.132745	+	0.0302982i	0.155632	+	0.987815i	$0.450259\pi$
$192$	−1.50222	−	7.85769i	−0.108413	−	0.567080i
$193$	3.76693	+	16.5040i	0.271149	+	1.18798i	0.908658	+	0.417540i	$0.137108\pi$
$193$	3.76693	+	16.5040i	0.271149	+	1.18798i	−0.637509	+	0.770443i	$0.720035\pi$
$194$	−12.0001	−	7.02326i	−0.861558	−	0.504241i
$195$	2.44011			0.174740
$196$	−7.76595	−	11.6486i	−0.554711	−	0.832043i
$197$	−0.643130			−0.0458211			−0.0229106	−	0.999738i	$-0.507293\pi$
$197$	−0.643130			−0.0458211			−0.0229106	+	0.999738i	$0.507293\pi$
$198$	4.71375	+	2.75880i	0.334992	+	0.196059i
$199$	−0.969032	−	4.24561i	−0.0686928	−	0.300963i	0.928898	−	0.370336i	$-0.120757\pi$
$199$	−0.969032	−	4.24561i	−0.0686928	−	0.300963i	−0.997591	+	0.0693727i	$0.977900\pi$
$200$	−12.2221	+	5.62082i	−0.864232	+	0.397452i
$201$	−9.60201	+	2.19160i	−0.677273	+	0.154583i
$202$	−4.83254	+	15.3438i	−0.340016	+	1.07959i
$203$	5.45926	−	7.40827i	0.383165	−	0.519959i
$204$	12.2663	−	0.773385i	0.858811	−	0.0541478i
$205$	−3.20305	+	1.54251i	−0.223711	+	0.107733i
$206$	−13.7500	−	4.33057i	−0.958007	−	0.301725i
$207$	−2.33917	+	4.85734i	−0.162584	+	0.337608i
$208$	10.7462	+	16.5923i	0.745117	+	1.15047i
$209$	−7.35732	+	15.2776i	−0.508916	+	1.05678i
$210$	−1.84574	−	0.0786606i	−0.127368	−	0.00542810i
$211$	5.66608	+	11.7657i	0.390069	+	0.809986i	0.999848	+	0.0174153i	$0.00554373\pi$
$211$	5.66608	+	11.7657i	0.390069	+	0.809986i	−0.609779	+	0.792571i	$0.708742\pi$
$212$	7.07358	−	17.4144i	0.485815	−	1.19603i
$213$	10.4933	+	8.36816i	0.718992	+	0.573377i
$214$	20.4869	+	1.65723i	1.40046	+	0.113286i
$215$	0.887898			0.0605542
$216$	1.72397	+	2.24231i	0.117301	+	0.152570i
$217$	19.2530	−	0.734374i	1.30698	−	0.0498526i
$218$	9.68281	−	6.51805i	0.655803	−	0.441458i
$219$	−5.84639	+	4.66234i	−0.395062	+	0.315052i
$220$	−3.65730	+	1.08090i	−0.246575	+	0.0728744i
$221$	−27.3630	+	13.1773i	−1.84063	+	0.886402i
$222$	11.2223	−	7.55439i	0.753195	−	0.507018i
$223$	6.88689	+	8.63589i	0.461180	+	0.578302i	0.956987	−	0.290131i	$-0.0936989\pi$
$223$	6.88689	+	8.63589i	0.461180	+	0.578302i	−0.495807	+	0.868433i	$0.665128\pi$
$224$	−7.59375	−	12.8971i	−0.507379	−	0.861723i
$225$	2.96545	−	3.71856i	0.197697	−	0.247904i
$226$	−0.104522	+	1.29212i	−0.00695272	+	0.0859503i
$227$	19.1965			1.27411			0.637057	−	0.770816i	$-0.280151\pi$
$227$	19.1965			1.27411			0.637057	+	0.770816i	$0.280151\pi$
$228$	−6.50742	+	5.89625i	−0.430964	+	0.390489i
$229$	10.7701	+	2.45820i	0.711705	+	0.162442i	0.563021	−	0.826443i	$-0.309639\pi$
$229$	10.7701	+	2.45820i	0.711705	+	0.162442i	0.148684	+	0.988885i	$0.452496\pi$
$230$	−1.35456	−	3.51233i	−0.0893170	−	0.231596i
$231$	10.0412	+	1.89235i	0.660661	+	0.124508i
$232$	6.26938	−	7.58149i	0.411605	−	0.497749i
$233$	13.9460	−	17.4877i	0.913632	−	1.14566i	−0.0752808	−	0.997162i	$-0.523985\pi$
$233$	13.9460	−	17.4877i	0.913632	−	1.14566i	0.988913	−	0.148496i	$-0.0474433\pi$
$234$	−6.03200	−	3.53033i	−0.394324	−	0.230785i
$235$	−0.0129869	−	0.00296417i	−0.000847170	−	0.000193361i
$236$	−10.1103	+	2.98805i	−0.658123	+	0.194506i
$237$	6.32451	−	1.44353i	0.410821	−	0.0937672i
$238$	21.1226	−	9.08545i	1.36917	−	0.588922i
$239$	0.639879	+	0.146048i	0.0413903	+	0.00944707i	0.243166	−	0.969985i	$-0.421814\pi$
$239$	0.639879	+	0.146048i	0.0413903	+	0.00944707i	−0.201776	+	0.979432i	$0.564671\pi$
$240$	−1.96540	−	0.194155i	−0.126866	−	0.0125327i
$241$	0.365903	−	0.291798i	0.0235699	−	0.0187964i	−0.611634	−	0.791141i	$-0.709487\pi$
$241$	0.365903	−	0.291798i	0.0235699	−	0.0187964i	0.635204	+	0.772344i	$0.280916\pi$
$242$	5.47987	−	0.792827i	0.352259	−	0.0509648i
$243$	−0.900969	−	0.433884i	−0.0577972	−	0.0278337i
$244$	−4.38984	+	26.9563i	−0.281031	+	1.72570i
$245$	−3.30117	+	1.02352i	−0.210904	+	0.0653903i
$246$	10.1497	+	0.821030i	0.647119	+	0.0523470i
$247$	9.41487	−	19.5502i	0.599054	−	1.24395i
$248$	20.5940	+	0.365587i	1.30772	+	0.0232148i
$249$	−0.254468	−	0.319093i	−0.0161263	−	0.0202217i
$250$	0.975454	+	6.74216i	0.0616932	+	0.426411i
$251$	−5.09394	+	22.3180i	−0.321527	+	1.40870i	0.513310	+	0.858203i	$0.328419\pi$
$251$	−5.09394	+	22.3180i	−0.321527	+	1.40870i	−0.834837	+	0.550497i	$0.814438\pi$
$252$	4.44889	+	2.86485i	0.280254	+	0.180468i
$253$	4.63313	+	20.2990i	0.291282	+	1.27619i
$254$	−23.7736	+	9.16850i	−1.49169	+	0.575283i
$255$	0.675175	−	2.95813i	0.0422811	−	0.185245i
$256$	−7.33541	−	14.2194i	−0.458463	−	0.888714i
$257$	2.98641	+	2.38158i	0.186287	+	0.148559i	0.712193	−	0.701984i	$-0.247702\pi$
$257$	2.98641	+	2.38158i	0.186287	+	0.148559i	−0.525906	+	0.850543i	$0.676274\pi$
$258$	−2.19490	−	1.28460i	−0.136648	−	0.0799757i
$259$	15.0141	−	20.3743i	0.932931	−	1.26600i
$260$	4.68011	−	1.38319i	0.290248	−	0.0857817i
$261$	−0.773977	+	3.39101i	−0.0479079	+	0.209898i
$262$	−6.84318	−	6.42530i	−0.422773	−	0.396957i
$263$			14.3522i			0.884996i	0.896770	+	0.442498i	$0.145908\pi$
$263$			14.3522i			0.884996i	−0.896770	+	0.442498i	$0.854092\pi$
$264$	10.6047	+	2.61933i	0.652677	+	0.161209i
$265$	−3.62789	−	2.89314i	−0.222859	−	0.177724i
$266$	−7.75179	+	14.4846i	−0.475293	+	0.888106i
$267$	9.57078	−	7.63244i	0.585722	−	0.467098i
$268$	−17.1742	+	9.64639i	−1.04908	+	0.589247i
$269$	2.71412	+	5.63594i	0.165483	+	0.343629i	0.967176	−	0.254107i	$-0.0817814\pi$
$269$	2.71412	+	5.63594i	0.165483	+	0.343629i	−0.801693	+	0.597736i	$0.796067\pi$
$270$	0.651488	−	0.251252i	0.0396483	−	0.0152907i
$271$	−4.02349	−	5.04530i	−0.244410	−	0.306480i	0.644462	−	0.764636i	$-0.277081\pi$
$271$	−4.02349	−	5.04530i	−0.244410	−	0.306480i	−0.888872	+	0.458156i	$0.848510\pi$
$272$	23.0882	−	8.43653i	1.39993	−	0.511540i
$273$	−12.8493	−	2.42157i	−0.777675	−	0.146560i
$274$	1.79625	+	1.68656i	0.108515	+	0.101889i
$275$		−	18.3686i		−	1.10767i
$276$	−1.73310	+	10.6423i	−0.104320	+	0.640590i
$277$	−4.02882	+	5.05198i	−0.242068	+	0.303544i	−0.887993	−	0.459857i	$-0.847901\pi$
$277$	−4.02882	+	5.05198i	−0.242068	+	0.303544i	0.645925	+	0.763401i	$0.276472\pi$
$278$	−11.1810	−	3.52148i	−0.670594	−	0.211204i
$279$	−6.56106	+	3.15964i	−0.392800	+	0.189163i
$280$	−3.58470	+	0.895396i	−0.214227	+	0.0535101i
$281$	0.145915	+	0.0702690i	0.00870456	+	0.00419190i	0.438231	−	0.898862i	$-0.355605\pi$
$281$	0.145915	+	0.0702690i	0.00870456	+	0.00419190i	−0.429526	+	0.903054i	$0.641319\pi$
$282$	0.0278152	+	0.0261167i	0.00165637	+	0.00155523i
$283$	17.8314	+	8.58713i	1.05996	+	0.510452i	0.880860	−	0.473378i	$-0.156965\pi$
$283$	17.8314	+	8.58713i	1.05996	+	0.510452i	0.179105	+	0.983830i	$0.442680\pi$
$284$	24.8696	+	10.1018i	1.47574	+	0.599434i
$285$	0.940602	+	1.95318i	0.0557164	+	0.115696i
$286$	−26.7141	+	3.86499i	−1.57964	+	0.228542i
$287$	18.3976	−	4.94393i	1.08598	−	0.291831i
$288$	4.57761	+	3.32348i	0.269738	+	0.195838i
$289$	4.62063	+	20.2443i	0.271802	+	1.19084i
$290$	−1.35623	−	2.01474i	−0.0796409	−	0.118310i
$291$	9.58530	−	2.18778i	0.561901	−	0.128250i
$292$	−8.57043	+	12.2564i	−0.501547	+	0.717249i
$293$		−	1.62379i		−	0.0948628i	−0.998874	−	0.0474314i	$-0.984896\pi$
$293$		−	1.62379i		−	0.0948628i	0.998874	−	0.0474314i	$-0.0151036\pi$
$294$	9.64136	+	2.24593i	0.562295	+	0.130985i
$295$			2.60266i			0.151533i
$296$	17.2421	−	20.8507i	1.00218	−	1.21192i
$297$	−3.76519	+	0.859380i	−0.218479	+	0.0498663i
$298$	27.5631	−	18.5542i	1.59668	−	1.07482i
$299$	−5.92883	−	25.9759i	−0.342873	−	1.50222i
$300$	3.57982	−	8.81313i	0.206681	−	0.508826i
$301$	−4.67555	−	0.881151i	−0.269494	−	0.0507887i
$302$	−3.66613	−	25.3396i	−0.210962	−	1.45813i
$303$	−4.93547	−	10.2486i	−0.283535	−	0.588767i
$304$	−9.13883	+	14.9977i	−0.524148	+	0.860177i
$305$	6.07469	+	2.92542i	0.347836	+	0.167509i
$306$	−5.94883	+	6.33572i	−0.340072	+	0.362189i
$307$	−0.327334	−	0.157636i	−0.0186819	−	0.00899673i	0.424519	−	0.905419i	$-0.360443\pi$
$307$	−0.327334	−	0.157636i	−0.0186819	−	0.00899673i	−0.443201	+	0.896422i	$0.646157\pi$
$308$	20.3316	−	2.06237i	1.15850	−	0.117515i
$309$	9.18405	−	4.42281i	0.522463	−	0.251605i
$310$	1.52752	−	4.85001i	0.0867570	−	0.275462i
$311$	−6.72469	+	8.43250i	−0.381322	+	0.478163i	−0.935040	−	0.354541i	$-0.884637\pi$
$311$	−6.72469	+	8.43250i	−0.381322	+	0.478163i	0.553718	+	0.832704i	$0.313209\pi$
$312$	−13.5705	−	3.35186i	−0.768277	−	0.189762i
$313$		−	11.6413i		−	0.658003i	−0.944329	−	0.329001i	$-0.893288\pi$
$313$		−	11.6413i		−	0.658003i	0.944329	−	0.329001i	$-0.106712\pi$
$314$	17.7103	−	18.8621i	0.999449	−	1.06445i
$315$	0.989536	−	0.852814i	0.0557540	−	0.0480506i
$316$	11.3121	−	6.35374i	0.636353	−	0.357426i
$317$	−4.39503	−	5.51119i	−0.246849	−	0.309539i	0.642935	−	0.765921i	$-0.277717\pi$
$317$	−4.39503	−	5.51119i	−0.246849	−	0.309539i	−0.889784	+	0.456382i	$0.849145\pi$
$318$	4.78243	+	12.4007i	0.268185	+	0.695395i
$319$	5.82834	+	12.1027i	0.326324	+	0.677619i
$320$	−3.87968	+	0.741711i	−0.216881	+	0.0414629i
$321$	−11.3629	+	9.06164i	−0.634217	+	0.505771i
$322$	3.64729	+	19.8397i	0.203255	+	1.10562i
$323$	−21.0955	−	16.8231i	−1.17378	−	0.936061i
$324$	−1.97400	−	0.321466i	−0.109666	−	0.0178592i
$325$			23.5056i			1.30386i
$326$	10.9900	−	11.7048i	0.608682	−	0.648268i
$327$	−1.83659	+	8.04661i	−0.101563	+	0.444978i
$328$	19.9323	−	4.17866i	1.10058	−	0.230728i
$329$	0.0654454	+	0.0284971i	0.00360812	+	0.00157109i
$330$	1.36214	−	2.32738i	0.0749832	−	0.128118i
$331$	8.71846	+	6.95274i	0.479210	+	0.382157i	0.833093	−	0.553132i	$-0.186568\pi$
$331$	8.71846	+	6.95274i	0.479210	+	0.382157i	−0.353883	+	0.935290i	$0.615139\pi$
$332$	−0.668945	−	0.467770i	−0.0367131	−	0.0256722i
$333$	−2.12860	+	9.32599i	−0.116646	+	0.511061i
$334$	1.36565	+	3.54108i	0.0747249	+	0.193759i
$335$	1.08208	+	4.74092i	0.0591206	+	0.259024i
$336$	10.1569	+	2.97286i	0.554103	+	0.162183i
$337$	−0.0356281	+	0.156097i	−0.00194078	+	0.00850313i	−0.975889	−	0.218267i	$-0.929960\pi$
$337$	−0.0356281	+	0.156097i	−0.00194078	+	0.00850313i	0.973948	+	0.226770i	$0.0728167\pi$
$338$	15.9896	−	2.31338i	0.869721	−	0.125831i
$339$	−0.571521	−	0.716665i	−0.0310408	−	0.0389239i
$340$	−0.381853	−	6.05639i	−0.0207089	−	0.328454i
$341$	−12.2026	+	25.3389i	−0.660808	+	1.37218i
$342$	0.500654	−	6.18914i	0.0270723	−	0.334670i
$343$	18.3993	−	2.11364i	0.993466	−	0.114126i
$344$	−4.93797	−	1.21966i	−0.266237	−	0.0657597i
$345$	2.39828	+	1.15495i	0.129119	+	0.0621804i
$346$	−2.14717	−	14.8408i	−0.115432	−	0.797847i
$347$	−21.9332	+	17.4911i	−1.17743	+	0.938972i	−0.998988	−	0.0449775i	$-0.985678\pi$
$347$	−21.9332	+	17.4911i	−1.17743	+	0.938972i	−0.178446	+	0.983950i	$0.557107\pi$
$348$	0.437732	+	6.94265i	0.0234649	+	0.372165i
$349$	9.81076	+	2.23924i	0.525158	+	0.119864i	0.476877	−	0.878970i	$-0.341769\pi$
$349$	9.81076	+	2.23924i	0.525158	+	0.119864i	0.0482807	+	0.998834i	$0.484626\pi$
$350$	0.757737	−	17.7800i	0.0405027	−	0.950381i
$351$	4.81817	−	1.09971i	0.257175	−	0.0586984i
$352$	21.8246	−	0.987494i	1.16325	−	0.0526336i
$353$	−14.0677	−	3.21087i	−0.748750	−	0.170897i	−0.168914	−	0.985631i	$-0.554026\pi$
$353$	−14.0677	−	3.21087i	−0.748750	−	0.170897i	−0.579835	+	0.814734i	$0.696883\pi$
$354$	3.76550	−	6.43382i	0.200134	−	0.341954i
$355$	4.13172	−	5.18101i	0.219289	−	0.274980i
$356$	14.0302	−	20.0642i	0.743597	−	1.06340i
$357$	−6.49103	+	14.9071i	−0.343542	+	0.788966i
$358$	12.7133	−	4.90299i	0.671918	−	0.259131i
$359$	−9.30350	−	2.12346i	−0.491020	−	0.112072i	−0.0301602	−	0.999545i	$-0.509602\pi$
$359$	−9.30350	−	2.12346i	−0.491020	−	0.112072i	−0.460860	+	0.887473i	$0.652459\pi$
$360$	1.10712	−	0.851197i	0.0583505	−	0.0448620i
$361$	0.278065			0.0146350
$362$	−16.3350	−	1.32138i	−0.858550	−	0.0694501i
$363$	−2.44108	+	3.06102i	−0.128124	+	0.160662i
$364$	−26.0175	+	2.63914i	−1.36369	+	0.138328i
$365$	2.30200	+	2.88661i	0.120492	+	0.151092i
$366$	−10.7843	−	16.0205i	−0.563703	−	0.837403i
$367$	−18.1918	+	8.76070i	−0.949603	+	0.457305i	−0.843547	−	0.537055i	$-0.819537\pi$
$367$	−18.1918	+	8.76070i	−0.949603	+	0.457305i	−0.106056	+	0.994360i	$0.533822\pi$
$368$	2.70856	+	21.3942i	0.141193	+	1.11525i
$369$	−5.62945	+	4.48934i	−0.293058	+	0.233706i
$370$	−3.72993	−	5.54095i	−0.193910	−	0.288060i
$371$	16.2328	+	18.8352i	0.842765	+	0.977875i
$372$	−10.7930	+	9.77932i	−0.559590	+	0.507034i
$373$	−16.0971			−0.833475			−0.416738	−	0.909027i	$-0.636827\pi$
$373$	−16.0971			−0.833475			−0.416738	+	0.909027i	$0.636827\pi$
$374$	−2.70623	+	33.4547i	−0.139936	+	1.72990i
$375$	−3.76613	−	3.00339i	−0.194482	−	0.155094i
$376$	0.0681536	+	0.0343243i	0.00351475	+	0.00177014i
$377$	−7.45830	−	15.4873i	−0.384122	−	0.797637i
$378$	−3.67999	+	0.676521i	−0.189278	+	0.0347965i
$379$	−6.53439	+	13.5688i	−0.335649	+	0.696983i	−0.998667	−	0.0516212i	$-0.983561\pi$
$379$	−6.53439	+	13.5688i	−0.335649	+	0.696983i	0.663018	+	0.748604i	$0.269275\pi$
$380$	2.91123	+	3.21299i	0.149343	+	0.164823i
$381$	7.81741	−	16.2330i	0.400498	−	0.831643i
$382$	0.799434	−	2.53828i	0.0409026	−	0.129870i
$383$	25.3846	−	12.2246i	1.29709	−	0.624646i	0.347365	−	0.937730i	$-0.387077\pi$
$383$	25.3846	−	12.2246i	1.29709	−	0.624646i	0.949725	+	0.313084i	$0.101362\pi$
$384$	10.6637	+	3.77955i	0.544181	+	0.192874i
$385$	0.934336	−	4.95776i	0.0476182	−	0.252671i
$386$	−22.8346	−	7.19179i	−1.16225	−	0.366052i
$387$	1.75321	−	0.400160i	0.0891209	−	0.0203413i
$388$	17.1443	−	9.62961i	0.870372	−	0.488869i
$389$	−7.46419	−	32.7027i	−0.378449	−	1.65809i	−0.702221	−	0.711959i	$-0.747808\pi$
$389$	−7.46419	−	32.7027i	−0.378449	−	1.65809i	0.323771	−	0.946135i	$-0.395049\pi$
$390$	−1.74307	+	2.97826i	−0.0882639	+	0.150810i
$391$	−33.1309			−1.67550
$392$	19.7651	−	1.15757i	0.998289	−	0.0584663i
$393$	6.63753			0.334819
$394$	0.459414	−	0.784966i	0.0231449	−	0.0395460i
$395$	−0.712732	−	3.12268i	−0.0358614	−	0.157119i
$396$	−6.73445	+	3.78259i	−0.338419	+	0.190083i
$397$	8.26006	−	1.88531i	0.414561	−	0.0946207i	−0.0101531	−	0.999948i	$-0.503232\pi$
$397$	8.26006	−	1.88531i	0.414561	−	0.0946207i	0.424714	+	0.905328i	$0.360375\pi$
$398$	5.87415	+	1.85007i	0.294445	+	0.0927355i
$399$	−3.01474	−	11.2186i	−0.150926	−	0.561634i
$400$	1.87029	−	18.9327i	0.0935146	−	0.946636i
$401$	7.78618	−	3.74963i	0.388823	−	0.187247i	−0.229251	−	0.973367i	$-0.573628\pi$
$401$	7.78618	−	3.74963i	0.388823	−	0.187247i	0.618074	+	0.786120i	$0.287913\pi$
$402$	4.18418	−	13.2852i	0.208688	−	0.662604i
$403$	15.6152	−	32.4253i	0.777847	−	1.61522i
$404$	−15.2756	−	16.8590i	−0.759991	−	0.838767i
$405$	−0.214227	+	0.444847i	−0.0106450	+	0.0221046i
$406$	5.14232	+	11.9553i	0.255209	+	0.593331i
$407$	16.0291	+	33.2849i	0.794535	+	1.64987i
$408$	−7.81836	+	15.5239i	−0.387066	+	0.768550i
$409$	−30.6978	−	24.4807i	−1.51791	−	1.21049i	−0.908676	−	0.417501i	$-0.862906\pi$
$409$	−30.6978	−	24.4807i	−1.51791	−	1.21049i	−0.609233	−	0.792991i	$-0.708523\pi$
$410$	0.405378	−	5.01133i	0.0200202	−	0.247492i
$411$	−1.74227			−0.0859398
$412$	15.1078	−	13.6889i	0.744309	−	0.674404i
$413$	2.58288	−	13.7053i	0.127095	−	0.674392i
$414$	−4.25761	−	6.32485i	−0.209250	−	0.310849i
$415$	−0.157550	+	0.125642i	−0.00773381	+	0.00616751i
$416$	−27.9280	+	1.26366i	−1.36928	+	0.0619559i
$417$	7.46817	−	3.59648i	0.365718	−	0.176120i
$418$	−13.3913	−	19.8933i	−0.654991	−	0.973015i
$419$	−13.6727	−	17.1450i	−0.667953	−	0.837586i	0.326230	−	0.945290i	$-0.394222\pi$
$419$	−13.6727	−	17.1450i	−0.667953	−	0.837586i	−0.994183	+	0.107704i	$0.965650\pi$
$420$	1.41450	−	2.19661i	0.0690204	−	0.107184i
$421$	−2.40990	+	3.02192i	−0.117451	+	0.147279i	−0.837081	−	0.547078i	$-0.815740\pi$
$421$	−2.40990	+	3.02192i	−0.117451	+	0.147279i	0.719630	+	0.694358i	$0.244311\pi$
$422$	−18.4081	−	1.48907i	−0.896090	−	0.0724868i
$423$	−0.0269793			−0.00131178
$424$	16.2020	+	21.0734i	0.786839	+	1.02341i
$425$	28.4957	+	6.50395i	1.38224	+	0.315488i
$426$	−17.7095	+	6.82982i	−0.858028	+	0.330906i
$427$	−29.0853	−	21.4334i	−1.40754	−	1.03723i
$428$	−16.6573	+	23.8212i	−0.805163	+	1.15144i
$429$	11.9002	−	14.9223i	0.574546	−	0.720457i
$430$	−0.634262	+	1.08372i	−0.0305868	+	0.0522614i
$431$	−11.6398	−	2.65672i	−0.560671	−	0.127970i	−0.0672123	−	0.997739i	$-0.521410\pi$
$431$	−11.6398	−	2.65672i	−0.560671	−	0.127970i	−0.493459	+	0.869769i	$0.664268\pi$
$432$	−3.96832	+	0.502400i	−0.190926	+	0.0241717i
$433$	20.6373	−	4.71032i	0.991763	−	0.226363i	0.304295	−	0.952578i	$-0.401579\pi$
$433$	20.6373	−	4.71032i	0.991763	−	0.226363i	0.687468	+	0.726214i	$0.258722\pi$
$434$	−12.8568	+	24.0236i	−0.617148	+	1.15317i
$435$	1.67429	+	0.382145i	0.0802760	+	0.0183225i
$436$	1.03870	+	16.4744i	0.0497449	+	0.788979i
$437$	18.5069	−	14.7588i	0.885305	−	0.706007i
$438$	−1.51426	−	10.4662i	−0.0723539	−	0.500097i
$439$	20.8593	+	10.0453i	0.995558	+	0.479435i	0.859429	−	0.511256i	$-0.170820\pi$
$439$	20.8593	+	10.0453i	0.995558	+	0.479435i	0.136129	+	0.990691i	$0.456534\pi$
$440$	1.29328	−	5.23602i	0.0616546	−	0.249617i
$441$	−6.05710	+	3.50879i	−0.288433	+	0.167085i
$442$	3.46306	−	42.8107i	0.164721	−	2.03630i
$443$	0.748195	−	1.55364i	0.0355478	−	0.0738158i	−0.882439	−	0.470427i	$-0.844100\pi$
$443$	0.748195	−	1.55364i	0.0355478	−	0.0738158i	0.917986	+	0.396612i	$0.129814\pi$
$444$	1.20385	+	19.0937i	0.0571324	+	0.906148i
$445$	−3.76846	−	4.72550i	−0.178642	−	0.224010i
$446$	−15.4600	+	2.23676i	−0.732054	+	0.105913i
$447$	−5.22801	+	22.9054i	−0.247277	+	1.08339i
$448$	21.1659	−	0.0555501i	0.999997	−	0.00262449i
$449$	−0.440409	−	1.92956i	−0.0207842	−	0.0910614i	0.963472	−	0.267809i	$-0.0862996\pi$
$449$	−0.440409	−	1.92956i	−0.0207842	−	0.0910614i	−0.984256	+	0.176747i	$0.943442\pi$
$450$	2.42031	+	6.27577i	0.114094	+	0.295843i
$451$	−6.18783	+	27.1107i	−0.291374	+	1.27659i
$452$	−1.50241	−	1.05058i	−0.0706676	−	0.0494154i
$453$	14.1545	+	11.2879i	0.665039	+	0.530351i
$454$	−13.7128	+	23.4301i	−0.643575	+	1.09963i
$455$	−1.19563	+	6.34425i	−0.0560522	+	0.297423i
$456$	−2.54809	−	12.1545i	−0.119325	−	0.569186i
$457$	−7.95594	+	34.8573i	−0.372163	+	1.63055i	0.348528	+	0.937298i	$0.386682\pi$
$457$	−7.95594	+	34.8573i	−0.372163	+	1.63055i	−0.720691	+	0.693256i	$0.756176\pi$
$458$	−10.6938	+	11.3893i	−0.499689	+	0.532187i
$459$		−	6.14532i		−	0.286839i
$460$	5.25455	+	0.855705i	0.244995	+	0.0398975i
$461$	9.46235	+	7.54597i	0.440706	+	0.351451i	0.818567	−	0.574411i	$-0.194769\pi$
$461$	9.46235	+	7.54597i	0.440706	+	0.351451i	−0.377861	+	0.925862i	$0.623340\pi$
$462$	−9.48252	+	10.9039i	−0.441167	+	0.507294i
$463$	13.1219	−	10.4644i	0.609829	−	0.486322i	−0.269204	−	0.963083i	$-0.586761\pi$
$463$	13.1219	−	10.4644i	0.609829	−	0.486322i	0.879033	+	0.476761i	$0.158189\pi$
$464$	4.77504	+	13.0678i	0.221675	+	0.606657i
$465$	1.56005	+	3.23948i	0.0723456	+	0.150227i
$466$	11.3823	+	29.5138i	0.527273	+	1.36720i
$467$	−9.98712	−	12.5235i	−0.462149	−	0.579516i	0.495080	−	0.868847i	$-0.335139\pi$
$467$	−9.98712	−	12.5235i	−0.462149	−	0.579516i	−0.957229	+	0.289331i	$0.906567\pi$
$468$	8.61780	−	4.84044i	0.398358	−	0.223749i
$469$	−0.993214	−	26.0389i	−0.0458624	−	1.20237i
$470$	0.0128949	−	0.0137336i	0.000594799	−	0.000633482i
$471$			18.2953i			0.843001i
$472$	3.57514	−	14.4745i	0.164559	−	0.666242i
$473$	4.33018	−	5.42988i	0.199102	−	0.249666i
$474$	−2.75597	+	8.75049i	−0.126586	+	0.401923i
$475$	−18.8150	+	9.06081i	−0.863289	+	0.415738i
$476$	−3.99958	+	32.2711i	−0.183320	+	1.47914i
$477$	−8.46739	−	4.07768i	−0.387695	−	0.186704i
$478$	−0.635349	+	0.676669i	−0.0290602	+	0.0309501i
$479$	27.5231	+	13.2544i	1.25756	+	0.605610i	0.939529	−	0.342469i	$-0.111263\pi$
$479$	27.5231	+	13.2544i	1.25756	+	0.605610i	0.318034	+	0.948079i	$0.396978\pi$
$480$	1.64094	−	2.26016i	0.0748984	−	0.103162i
$481$	−20.5119	−	42.5933i	−0.935260	−	1.94209i
$482$	0.0947715	+	0.655042i	0.00431672	+	0.0298364i
$483$	−11.4828	−	8.46186i	−0.522487	−	0.385028i
$484$	−2.94682	+	7.25474i	−0.133946	+	0.329761i
$485$	−1.08020	−	4.73268i	−0.0490495	−	0.214900i
$486$	1.17317	−	0.789727i	0.0532161	−	0.0358228i
$487$	15.3233	−	3.49745i	0.694366	−	0.158485i	0.139250	−	0.990257i	$-0.455531\pi$
$487$	15.3233	−	3.49745i	0.694366	−	0.158485i	0.555116	+	0.831773i	$0.312674\pi$
$488$	−29.7654	−	24.6140i	−1.34742	−	1.11422i
$489$			11.3530i			0.513402i
$490$	1.10891	−	4.76035i	0.0500956	−	0.215051i
$491$		−	1.67207i		−	0.0754596i	−0.999288	−	0.0377298i	$-0.987987\pi$
$491$		−	1.67207i		−	0.0754596i	0.999288	−	0.0377298i	$-0.0120126\pi$
$492$	−8.25242	+	11.8016i	−0.372048	+	0.532056i
$493$	−20.8389	+	4.75633i	−0.938535	+	0.214214i
$494$	17.1363	+	25.4567i	0.771001	+	1.14535i
$495$	0.424313	+	1.85904i	0.0190714	+	0.0835574i
$496$	−15.1574	+	24.8746i	−0.680585	+	1.11690i
$497$	−26.8987	+	23.1822i	−1.20657	+	1.03986i
$498$	0.571242	−	0.0826473i	0.0255980	−	0.00370351i
$499$	−5.16835	−	10.7322i	−0.231367	−	0.480439i	0.752671	−	0.658397i	$-0.228765\pi$
$499$	−5.16835	−	10.7322i	−0.231367	−	0.480439i	−0.984038	+	0.177958i	$0.943051\pi$
$500$	−8.92588	−	3.62562i	−0.399177	−	0.162143i
$501$	−2.41791	−	1.16440i	−0.108024	−	0.0520217i
$502$	−23.6012	−	22.1600i	−1.05337	−	0.989050i
$503$	−27.0933	−	13.0474i	−1.20803	−	0.581756i	−0.282075	−	0.959392i	$-0.591023\pi$
$503$	−27.0933	−	13.0474i	−1.20803	−	0.581756i	−0.925954	+	0.377636i	$0.876737\pi$
$504$	−6.67468	+	3.38358i	−0.297314	+	0.150716i
$505$	−5.06017	+	2.43685i	−0.225175	+	0.108438i
$506$	−28.0854	−	8.84553i	−1.24855	−	0.393232i
$507$	−7.12281	+	8.93172i	−0.316335	+	0.396672i
$508$	5.79195	−	35.5661i	0.256976	−	1.57799i
$509$		−	39.7959i		−	1.76392i	−0.471324	−	0.881960i	$-0.656224\pi$
$509$		−	39.7959i		−	1.76392i	0.471324	−	0.881960i	$-0.343776\pi$
$510$	3.12821	+	2.93719i	0.138520	+	0.130061i
$511$	−9.25732	−	17.4850i	−0.409520	−	0.773491i
$512$	22.5953	+	1.20436i	0.998583	+	0.0532255i
$513$	2.73754	+	3.43277i	0.120866	+	0.151561i
$514$	−5.04013	+	1.94377i	−0.222311	+	0.0857361i
$515$	−2.18373	−	4.53456i	−0.0962266	−	0.199817i
$516$	3.13581	−	1.76132i	0.138046	−	0.0775377i
$517$	−0.0814627	+	0.0649643i	−0.00358272	+	0.00285713i
$518$	14.1424	+	32.8795i	0.621383	+	1.44464i
$519$	8.29000	+	6.61105i	0.363891	+	0.290193i
$520$	−1.65496	+	6.70032i	−0.0725746	+	0.293829i
$521$		−	13.7526i		−	0.602513i	−0.953543	−	0.301256i	$-0.902594\pi$
$521$		−	13.7526i		−	0.602513i	0.953543	−	0.301256i	$-0.0974060\pi$
$522$	−3.58598	−	3.36701i	−0.156954	−	0.147370i
$523$	2.65528	−	11.6335i	0.116107	−	0.508699i	−0.883111	−	0.469164i	$-0.844555\pi$
$523$	2.65528	−	11.6335i	0.116107	−	0.508699i	0.999218	−	0.0395348i	$-0.0125876\pi$
$524$	12.7307	−	3.76251i	0.556143	−	0.164366i
$525$	8.21515	+	9.53219i	0.358538	+	0.416019i
$526$	−17.5174	−	10.2524i	−0.763797	−	0.447025i
$527$	−34.9882	−	27.9022i	−1.52411	−	1.21544i
$528$	−10.7724	+	11.0724i	−0.468809	+	0.481865i
$529$	1.34969	−	5.91340i	0.0586824	−	0.257104i
$530$	6.12274	−	2.36129i	0.265955	−	0.102568i
$531$	1.17297	+	5.13913i	0.0509027	+	0.223019i
$532$	−12.1416	−	19.8083i	−0.526404	−	0.858798i
$533$	7.91832	−	34.6924i	0.342981	−	1.50270i
$534$	2.47890	+	17.1337i	0.107272	+	0.741447i
$535$	4.47412	+	5.61037i	0.193433	+	0.242557i
$536$	0.494443	−	27.8526i	0.0213567	−	1.20305i
$537$	−4.18047	+	8.68084i	−0.180401	+	0.374606i
$538$	−8.81770	−	0.713284i	−0.380158	−	0.0307519i
$539$	−9.84018	+	25.1797i	−0.423846	+	1.08456i
$540$	−0.158721	+	0.974646i	−0.00683028	+	0.0419421i
$541$	29.0308	+	13.9805i	1.24813	+	0.601068i	0.937010	−	0.349303i	$-0.113582\pi$
$541$	29.0308	+	13.9805i	1.24813	+	0.601068i	0.311120	+	0.950371i	$0.399296\pi$
$542$	9.03213	−	1.30677i	0.387963	−	0.0561305i
$543$	9.06013	−	7.22521i	0.388807	−	0.310063i
$544$	−6.19570	+	34.2066i	−0.265639	+	1.46660i
$545$	3.97295	+	0.906801i	0.170183	+	0.0388431i
$546$	12.1344	−	13.9533i	0.519305	−	0.597144i
$547$	23.8614	−	5.44621i	1.02024	−	0.232863i	0.320491	−	0.947252i	$-0.396152\pi$
$547$	23.8614	−	5.44621i	1.02024	−	0.232863i	0.699749	+	0.714388i	$0.253295\pi$
$548$	−3.34165	+	0.987612i	−0.142748	+	0.0421887i
$549$	13.3133	+	3.03868i	0.568199	+	0.129688i
$550$	22.4196	+	13.1214i	0.955976	+	0.559500i
$551$	9.52178	−	11.9399i	0.405641	−	0.508658i
$552$	−11.7513	−	9.71754i	−0.500169	−	0.413606i
$553$	0.654196	+	17.1509i	0.0278192	+	0.729332i
$554$	−3.28819	−	8.52617i	−0.139702	−	0.362242i
$555$	4.60464	+	1.05098i	0.195456	+	0.0446116i
$556$	12.2852	−	11.1314i	0.521008	−	0.472075i
$557$	28.6114			1.21231			0.606153	−	0.795348i	$-0.292712\pi$
$557$	28.6114			1.21231			0.606153	+	0.795348i	$0.292712\pi$
$558$	0.830367	−	10.2651i	0.0351523	−	0.434556i
$559$	−5.54117	+	6.94840i	−0.234366	+	0.293886i
$560$	1.46783	−	5.01488i	0.0620271	−	0.211917i
$561$	−14.7975	−	18.5555i	−0.624751	−	0.783413i
$562$	−0.189999	+	0.127899i	−0.00801463	+	0.00539510i
$563$	23.5816	−	11.3563i	0.993848	−	0.478612i	0.135002	−	0.990845i	$-0.456896\pi$
$563$	23.5816	−	11.3563i	0.993848	−	0.478612i	0.858846	+	0.512233i	$0.171182\pi$
$564$	−0.0517460	+	0.0152933i	−0.00217890	+	0.000643966i
$565$	−0.353848	+	0.282184i	−0.0148865	+	0.0118716i
$566$	−23.2186	+	15.6298i	−0.975951	+	0.656967i
$567$	1.56956	−	2.12990i	0.0659152	−	0.0894476i
$568$	−30.0951	+	23.1382i	−1.26276	+	0.970858i
$569$	−3.37463			−0.141472			−0.0707359	−	0.997495i	$-0.522535\pi$
$569$	−3.37463			−0.141472			−0.0707359	+	0.997495i	$0.522535\pi$
$570$	−3.05584	−	0.247194i	−0.127995	−	0.0103538i
$571$	−32.3096	−	25.7660i	−1.35211	−	1.07827i	−0.989219	−	0.146444i	$-0.953217\pi$
$571$	−32.3096	−	25.7660i	−1.35211	−	1.07827i	−0.362895	−	0.931830i	$-0.618212\pi$
$572$	14.3656	−	35.3665i	0.600655	−	1.47875i
$573$	0.816461	+	1.69540i	0.0341081	+	0.0708263i
$574$	−7.10791	+	25.9867i	−0.296678	+	1.08466i
$575$	−11.1256	+	23.1026i	−0.463970	+	0.963444i
$576$	−7.32641	+	3.21306i	−0.305267	+	0.133877i
$577$	−12.6198	+	26.2052i	−0.525368	+	1.09094i	0.454399	+	0.890798i	$0.349854\pi$
$577$	−12.6198	+	26.2052i	−0.525368	+	1.09094i	−0.979767	+	0.200140i	$0.935860\pi$
$578$	−28.0097	−	8.82168i	−1.16505	−	0.366933i
$579$	15.2520	−	7.34497i	0.633851	−	0.305246i
$580$	3.42788	−	0.216127i	0.142335	−	0.00897419i
$581$	0.954322	−	0.505260i	0.0395920	−	0.0209617i
$582$	−4.17690	+	13.2621i	−0.173138	+	0.549730i
$583$	−35.3856	+	8.07653i	−1.46552	+	0.334496i
$584$	−8.83716	−	19.2158i	−0.365684	−	0.795154i
$585$	−0.542976	−	2.37893i	−0.0224493	−	0.0983568i
$586$	1.98190	+	1.15994i	0.0818715	+	0.0479167i
$587$	22.8896			0.944753			0.472376	−	0.881397i	$-0.343396\pi$
$587$	22.8896			0.944753			0.472376	+	0.881397i	$0.343396\pi$
$588$	−9.62846	+	10.1633i	−0.397071	+	0.419127i
$589$	31.9739			1.31746
$590$	−3.17665	−	1.85919i	−0.130781	−	0.0765416i
$591$	0.143110	+	0.627005i	0.00588675	+	0.0257916i
$592$	13.1323	+	35.9391i	0.539736	+	1.47709i
$593$	−27.6197	+	6.30403i	−1.13421	+	0.258875i	−0.748105	−	0.663581i	$-0.769036\pi$
$593$	−27.6197	+	6.30403i	−1.13421	+	0.258875i	−0.386102	+	0.922456i	$0.626179\pi$
$594$	1.64072	−	5.20946i	0.0673196	−	0.213747i
$595$	7.36026	+	3.20490i	0.301741	+	0.131388i
$596$	2.95677	+	46.8958i	0.121114	+	1.92093i
$597$	−3.92353	+	1.88947i	−0.160579	+	0.0773310i
$598$	35.9398	+	11.3193i	1.46969	+	0.462879i
$599$	−14.1274	+	29.3358i	−0.577228	+	1.19863i	0.384118	+	0.923284i	$0.374506\pi$
$599$	−14.1274	+	29.3358i	−0.577228	+	1.19863i	−0.961346	+	0.275343i	$0.911209\pi$
$600$	8.19957	+	10.6649i	0.334746	+	0.435393i
$601$	10.9973	−	22.8361i	0.448589	−	0.931506i	−0.546951	−	0.837165i	$-0.684211\pi$
$601$	10.9973	−	22.8361i	0.448589	−	0.931506i	0.995540	−	0.0943406i	$-0.0300743\pi$
$602$	4.41542	−	5.07726i	0.179959	−	0.206933i
$603$	4.27330	+	8.87359i	0.174022	+	0.361360i
$604$	33.5468	+	13.6264i	1.36500	+	0.554452i
$605$	1.51136	+	1.20527i	0.0614455	+	0.0490011i
$606$	16.0344	+	1.29706i	0.651354	+	0.0526895i
$607$	−38.0773			−1.54551			−0.772754	−	0.634705i	$-0.781121\pi$
$607$	−38.0773			−1.54551			−0.772754	+	0.634705i	$0.781121\pi$
$608$	−11.7770	−	21.8678i	−0.477622	−	0.886855i
$609$	−8.43733	−	3.67389i	−0.341898	−	0.148874i
$610$	−7.90999	+	5.32466i	−0.320266	+	0.215589i
$611$	0.104245	−	0.0831323i	0.00421728	−	0.00336317i
$612$	−3.48350	−	11.7866i	−0.140812	−	0.476447i
$613$	19.9413	−	9.60322i	0.805421	−	0.387870i	0.0145812	−	0.999894i	$-0.495358\pi$
$613$	19.9413	−	9.60322i	0.805421	−	0.387870i	0.790840	+	0.612023i	$0.209644\pi$
$614$	0.426228	−	0.286918i	0.0172012	−	0.0115791i
$615$	2.21658	+	2.77950i	0.0893811	+	0.112080i
$616$	−12.0065	+	26.2887i	−0.483754	+	1.05920i
$617$	8.14029	−	10.2076i	0.327716	−	0.410943i	−0.590491	−	0.807044i	$-0.701066\pi$
$617$	8.14029	−	10.2076i	0.327716	−	0.410943i	0.918207	+	0.396102i	$0.129637\pi$
$618$	−1.16233	+	14.3689i	−0.0467559	+	0.578002i
$619$	−7.88786			−0.317040			−0.158520	−	0.987356i	$-0.550672\pi$
$619$	−7.88786			−0.317040			−0.158520	+	0.987356i	$0.550672\pi$
$620$	4.82847	+	5.32896i	0.193916	+	0.214016i
$621$	5.25607	+	1.19966i	0.210919	+	0.0481409i
$622$	−5.48848	−	14.2314i	−0.220068	−	0.570629i
$623$	15.1546	+	28.6237i	0.607157	+	1.14678i
$624$	13.7850	−	14.1689i	0.551843	−	0.567211i
$625$	13.3444	−	16.7333i	0.533775	−	0.669332i
$626$	14.2086	+	8.31583i	0.567890	+	0.332367i
$627$	16.5317	+	3.77326i	0.660214	+	0.150690i
$628$	10.3707	+	35.0901i	0.413838	+	1.40025i
$629$	−57.3112	+	13.0809i	−2.28515	+	0.521570i
$630$	0.334028	+	1.81697i	0.0133080	+	0.0723897i
$631$	−19.0630	−	4.35100i	−0.758886	−	0.173211i	−0.174467	−	0.984663i	$-0.555820\pi$
$631$	−19.0630	−	4.35100i	−0.758886	−	0.173211i	−0.584419	+	0.811452i	$0.698677\pi$
$632$	−0.325672	+	18.3456i	−0.0129545	+	0.729747i
$633$	10.2099	−	8.14214i	0.405808	−	0.323621i
$634$	9.86617	−	1.42744i	0.391836	−	0.0566907i
$635$	−8.01494	−	3.85979i	−0.318063	−	0.153171i
$636$	−18.5518	−	3.02116i	−0.735626	−	0.119797i
$637$	12.5921	−	32.2214i	0.498917	−	1.27666i
$638$	−18.9352	−	1.53171i	−0.749652	−	0.0606411i
$639$	5.82336	−	12.0923i	0.230369	−	0.478366i
$640$	1.86613	−	5.26514i	0.0737651	−	0.208123i
$641$	18.1671	+	22.7808i	0.717556	+	0.899787i	0.998197	−	0.0600257i	$-0.0191183\pi$
$641$	18.1671	+	22.7808i	0.717556	+	0.899787i	−0.280640	+	0.959813i	$0.590547\pi$
$642$	−2.94308	−	20.3420i	−0.116154	−	0.802835i
$643$	−4.01762	+	17.6023i	−0.158440	+	0.694169i	0.831833	+	0.555026i	$0.187292\pi$
$643$	−4.01762	+	17.6023i	−0.158440	+	0.694169i	−0.990272	+	0.139143i	$0.955565\pi$
$644$	−26.8206	−	9.72065i	−1.05688	−	0.383047i
$645$	−0.197576	−	0.865637i	−0.00777955	−	0.0340844i
$646$	35.6026	−	13.7305i	1.40077	−	0.540217i
$647$	−5.36392	+	23.5008i	−0.210877	+	0.923914i	0.753095	+	0.657912i	$0.228560\pi$
$647$	−5.36392	+	23.5008i	−0.210877	+	0.923914i	−0.963972	+	0.266002i	$0.914297\pi$
$648$	1.80247	−	2.17970i	0.0708076	−	0.0856269i
$649$	15.9164	+	12.6929i	0.624773	+	0.498240i
$650$	−28.6895	−	16.7910i	−1.12529	−	0.658597i
$651$	−5.00015	−	18.6068i	−0.195971	−	0.729260i
$652$	6.43552	+	21.7750i	0.252034	+	0.852775i
$653$	−7.29610	+	31.9663i	−0.285519	+	1.25094i	0.605086	+	0.796160i	$0.293139\pi$
$653$	−7.29610	+	31.9663i	−0.285519	+	1.25094i	−0.890605	+	0.454779i	$0.849718\pi$
$654$	−8.50925	−	7.98964i	−0.332738	−	0.312420i
$655$		−	3.27723i		−	0.128052i
$656$	−9.13827	+	27.3132i	−0.356790	+	1.06640i
$657$	5.84639	+	4.66234i	0.228089	+	0.181895i
$658$	−0.0815322	+	0.0595221i	−0.00317845	+	0.00232041i
$659$	17.1794	−	13.7001i	0.669213	−	0.533680i	−0.228897	−	0.973451i	$-0.573512\pi$
$659$	17.1794	−	13.7001i	0.669213	−	0.533680i	0.898110	+	0.439771i	$0.144940\pi$
$660$	1.86763	+	3.32508i	0.0726973	+	0.129429i
$661$	10.7322	+	22.2857i	0.417436	+	0.866815i	0.998593	+	0.0530236i	$0.0168859\pi$
$661$	10.7322	+	22.2857i	0.417436	+	0.866815i	−0.581157	+	0.813791i	$0.697400\pi$
$662$	−14.7141	+	5.67460i	−0.571878	+	0.220550i
$663$	18.9358	+	23.7447i	0.735404	+	0.922168i
$664$	1.04879	−	0.482327i	0.0407008	−	0.0187179i
$665$	−5.53912	+	1.48851i	−0.214798	+	0.0577219i
$666$	−9.86220	−	9.25997i	−0.382152	−	0.358817i
$667$		−	18.7519i		−	0.726077i
$668$	−5.29756	−	0.862709i	−0.204969	−	0.0333792i
$669$	6.88689	−	8.63589i	0.266263	−	0.333883i
$670$	−6.55946	−	2.06591i	−0.253414	−	0.0798130i
$671$	47.5158	−	22.8824i	1.83433	−	0.883366i
$672$	−10.8840	+	10.2732i	−0.419858	+	0.396298i
$673$	−13.7149	−	6.60476i	−0.528672	−	0.254595i	0.150454	−	0.988617i	$-0.451927\pi$
$673$	−13.7149	−	6.60476i	−0.528672	−	0.254595i	−0.679126	+	0.734022i	$0.737641\pi$
$674$	−0.165072	−	0.154992i	−0.00635833	−	0.00597006i
$675$	−4.28520	−	2.06365i	−0.164938	−	0.0794298i
$676$	−8.59848	+	21.1685i	−0.330711	+	0.814174i
$677$	−0.516540	−	1.07261i	−0.0198523	−	0.0412236i	0.890807	−	0.454382i	$-0.150140\pi$
$677$	−0.516540	−	1.07261i	−0.0198523	−	0.0412236i	−0.910659	+	0.413158i	$0.864426\pi$
$678$	1.28298	−	0.185621i	0.0492725	−	0.00712874i
$679$	0.991486	+	25.9936i	0.0380498	+	0.997544i
$680$	7.66483	+	3.86026i	0.293933	+	0.148034i
$681$	−4.27162	−	18.7152i	−0.163689	−	0.717167i
$682$	−22.2104	−	32.9944i	−0.850479	−	1.26342i
$683$	−5.03682	+	1.14962i	−0.192729	+	0.0439890i	−0.317796	−	0.948159i	$-0.602943\pi$
$683$	−5.03682	+	1.14962i	−0.192729	+	0.0439890i	0.125067	+	0.992148i	$0.460085\pi$
$684$	7.19646	+	5.03222i	0.275163	+	0.192412i
$685$			0.860233i			0.0328678i
$686$	−10.5636	+	23.9669i	−0.403319	+	0.915060i
$687$		−	11.0470i		−	0.421470i
$688$	5.01604	−	5.15573i	0.191235	−	0.196561i
$689$	45.2816	−	10.3352i	1.72509	−	0.393741i
$690$	−3.12285	+	2.10216i	−0.118885	+	0.0800280i
$691$	3.98743	+	17.4701i	0.151689	+	0.664592i	0.992394	+	0.123100i	$0.0392835\pi$
$691$	3.98743	+	17.4701i	0.151689	+	0.664592i	−0.840705	+	0.541493i	$0.817859\pi$
$692$	19.6476	+	7.98070i	0.746890	+	0.303381i
$693$	−0.389464	−	10.2105i	−0.0147945	−	0.387866i
$694$	−5.68084	−	39.2649i	−0.215642	−	1.49048i
$695$	−1.77574	−	3.68736i	−0.0673575	−	0.139869i
$696$	−8.78647	−	4.42515i	−0.333050	−	0.167735i
$697$	−39.8664	−	19.1987i	−1.51005	−	0.727201i
$698$	−9.74131	+	10.3748i	−0.368714	+	0.392693i
$699$	−20.1525	−	9.70495i	−0.762239	−	0.367075i
$700$	21.1599	+	13.6258i	0.799770	+	0.515008i
$701$	−25.3501	+	12.2080i	−0.957461	+	0.461089i	−0.846296	−	0.532713i	$-0.821173\pi$
$701$	−25.3501	+	12.2080i	−0.957461	+	0.461089i	−0.111165	+	0.993802i	$0.535458\pi$
$702$	−2.09957	+	6.66633i	−0.0792431	+	0.251605i
$703$	26.1869	−	32.8373i	0.987656	−	1.23848i
$704$	−14.3849	+	27.3431i	−0.542151	+	1.03053i
$705$			0.0133208i			0.000501692i
$706$	13.9681	−	14.8766i	0.525698	−	0.559887i
$707$	29.0645	−	7.81040i	1.09308	−	0.293740i
$708$	5.16288	+	9.19188i	0.194033	+	0.345452i
$709$	12.8391	+	16.0997i	0.482183	+	0.604638i	0.962107	−	0.272672i	$-0.0879073\pi$
$709$	12.8391	+	16.0997i	0.482183	+	0.604638i	−0.479924	+	0.877310i	$0.659336\pi$
$710$	3.37217	+	8.74393i	0.126555	+	0.328154i
$711$	−2.81467	−	5.84473i	−0.105558	−	0.219194i
$712$	14.4668	+	31.4570i	0.542166	+	1.17890i
$713$	30.6949	−	24.4784i	1.14953	−	0.916722i
$714$	−13.5579	−	18.5713i	−0.507391	−	0.695013i
$715$	−7.36780	−	5.87562i	−0.275540	−	0.219736i
$716$	−3.09733	+	19.0195i	−0.115753	+	0.710791i
$717$		−	0.656334i		−	0.0245113i
$718$	9.23764	−	9.83841i	0.344746	−	0.367166i
$719$	−4.30669	+	18.8689i	−0.160613	+	0.703690i	0.828918	+	0.559369i	$0.188957\pi$
$719$	−4.30669	+	18.8689i	−0.160613	+	0.703690i	−0.989531	+	0.144320i	$0.953900\pi$
$720$	0.248057	+	1.95933i	0.00924452	+	0.0730200i
$721$	6.99912	+	26.0455i	0.260661	+	0.969986i
$722$	−0.198633	+	0.339389i	−0.00739235	+	0.0126307i
$723$	−0.365903	−	0.291798i	−0.0136081	−	0.0108521i
$724$	13.2816	−	18.9936i	0.493606	−	0.705893i
$725$	−3.68120	+	16.1284i	−0.136716	+	0.598994i
$726$	−1.99233	−	5.16606i	−0.0739425	−	0.191730i
$727$	5.92224	+	25.9470i	0.219644	+	0.962323i	0.957742	+	0.287629i	$0.0928670\pi$
$727$	5.92224	+	25.9470i	0.219644	+	0.962323i	−0.738098	+	0.674693i	$0.764276\pi$
$728$	15.3642	−	33.6406i	0.569434	−	1.24680i
$729$	−0.222521	+	0.974928i	−0.00824152	+	0.0361084i
$730$	−5.16763	+	0.747653i	−0.191263	+	0.0276719i
$731$	6.89027	+	8.64013i	0.254846	+	0.319567i
$732$	27.2573	−	1.71856i	1.00746	−	0.0635199i
$733$	13.5802	−	28.1996i	0.501597	−	1.04158i	−0.484405	−	0.874844i	$-0.660964\pi$
$733$	13.5802	−	28.1996i	0.501597	−	1.04158i	0.986002	−	0.166734i	$-0.0533220\pi$
$734$	2.30235	−	28.4619i	0.0849813	−	1.05055i
$735$	1.73244	+	2.99065i	0.0639020	+	0.110312i
$736$	−28.0473	−	11.9768i	−1.03384	−	0.441472i
$737$	34.2700	+	16.5036i	1.26235	+	0.607916i
$738$	−1.45807	−	10.0779i	−0.0536722	−	0.370972i
$739$	−41.0511	+	32.7372i	−1.51009	+	1.20426i	−0.593239	+	0.805026i	$0.702151\pi$
$739$	−41.0511	+	32.7372i	−1.51009	+	1.20426i	−0.916851	+	0.399230i	$0.869277\pi$
$740$	9.42739	−	0.594394i	0.346558	−	0.0218504i
$741$	−21.1550	−	4.82850i	−0.777149	−	0.177379i
$742$	−34.5849	+	6.35801i	−1.26965	+	0.233410i
$743$	−39.9231	+	9.11218i	−1.46464	+	0.334293i	−0.879211	−	0.476433i	$-0.841929\pi$
$743$	−39.9231	+	9.11218i	−1.46464	+	0.334293i	−0.585425	+	0.810727i	$0.699072\pi$
$744$	−4.22618	−	20.1590i	−0.154939	−	0.739066i
$745$	11.3094	+	2.58129i	0.414344	+	0.0945713i
$746$	11.4988	−	19.6471i	0.421001	−	0.719333i
$747$	−0.254468	+	0.319093i	−0.00931050	+	0.0116750i
$748$	−38.8997	−	27.2011i	−1.42231	−	0.994572i
$749$	−17.9924	−	33.9836i	−0.657427	−	1.24173i
$750$	6.35606	−	2.45127i	0.232090	−	0.0895077i
$751$	−5.40938	−	1.23465i	−0.197391	−	0.0450532i	0.122682	−	0.992446i	$-0.460850\pi$
$751$	−5.40938	−	1.23465i	−0.197391	−	0.0450532i	−0.320073	+	0.947393i	$0.603708\pi$
$752$	−0.0905791	+	0.0586649i	−0.00330308	+	0.00213929i
$753$	22.8920			0.834230
$754$	24.2306	+	1.96007i	0.882428	+	0.0713816i
$755$	5.57331	−	6.98871i	0.202833	−	0.254345i
$756$	1.80305	−	4.97484i	0.0655761	−	0.180933i
$757$	15.9856	+	20.0453i	0.581006	+	0.728559i	0.982284	−	0.187398i	$-0.0600053\pi$
$757$	15.9856	+	20.0453i	0.581006	+	0.728559i	−0.401278	+	0.915956i	$0.631434\pi$
$758$	−11.8935	−	17.6682i	−0.431991	−	0.641739i
$759$	18.7591	−	9.03393i	0.680914	−	0.327911i
$760$	−6.00119	+	1.25810i	−0.217686	+	0.0456362i
$761$	−7.32090	+	5.83823i	−0.265383	+	0.211636i	−0.747136	−	0.664671i	$-0.768572\pi$
$761$	−7.32090	+	5.83823i	−0.265383	+	0.211636i	0.481753	+	0.876307i	$0.340000\pi$
$762$	14.2288	+	21.1374i	0.515453	+	0.765726i
$763$	−20.0211	−	8.71785i	−0.724813	−	0.315607i
$764$	2.52701	+	2.78894i	0.0914238	+	0.100900i
$765$	−3.03421			−0.109702
$766$	−3.21267	+	39.7154i	−0.116078	+	1.43497i
$767$	−20.3676	−	16.2426i	−0.735431	−	0.586486i
$768$	−12.2306	+	10.3156i	−0.441335	+	0.372233i
$769$	−20.4230	−	42.4087i	−0.736471	−	1.52930i	−0.844740	−	0.535176i	$-0.820245\pi$
$769$	−20.4230	−	42.4087i	−0.736471	−	1.52930i	0.108269	−	0.994122i	$-0.465469\pi$
$770$	5.38371	+	4.68193i	0.194015	+	0.168725i
$771$	1.65733	−	3.44149i	0.0596874	−	0.123942i
$772$	25.0896	−	22.7332i	0.902994	−	0.818186i
$773$	−1.31885	+	2.73863i	−0.0474358	+	0.0985015i	−0.923340	−	0.383984i	$-0.874552\pi$
$773$	−1.31885	+	2.73863i	−0.0474358	+	0.0985015i	0.875904	+	0.482486i	$0.160266\pi$
$774$	−0.763982	+	2.42572i	−0.0274608	+	0.0871906i
$775$	−31.2058	+	15.0279i	−1.12095	+	0.539820i
$776$	−0.493582	+	27.8042i	−0.0177186	+	0.998112i
$777$	−23.2044	−	10.1040i	−0.832454	−	0.362478i
$778$	45.2470	+	14.2506i	1.62218	+	0.510908i
$779$	30.8218	−	7.03486i	1.10430	−	0.252050i
$780$	−2.38993	−	4.25498i	−0.0855732	−	0.152353i
$781$	−11.5342	−	50.5345i	−0.412725	−	1.80827i
$782$	23.6667	−	40.4376i	0.846321	−	1.44604i
$783$	3.47822			0.124301
$784$	−12.7062	+	24.9510i	−0.453792	+	0.891108i
$785$	9.03315			0.322407
$786$	−4.74146	+	8.10137i	−0.169122	+	0.288966i
$787$	0.995596	+	4.36199i	0.0354892	+	0.155488i	0.989568	−	0.144068i	$-0.0460185\pi$
$787$	0.995596	+	4.36199i	0.0354892	+	0.155488i	−0.954079	+	0.299556i	$0.903161\pi$
$788$	0.629903	+	1.12147i	0.0224394	+	0.0399506i
$789$	13.9924	−	3.19367i	0.498142	−	0.113698i
$790$	4.32049	+	1.36074i	0.153716	+	0.0484130i
$791$	2.14336	−	1.13479i	0.0762089	−	0.0403483i
$792$	0.193883	−	10.9217i	0.00688935	−	0.388086i
$793$	−60.8041	+	29.2817i	−2.15922	+	1.03982i
$794$	−3.59941	+	11.4285i	−0.127738	+	0.405582i
$795$	−2.01332	+	4.18071i	−0.0714053	+	0.148275i
$796$	−6.45423	+	5.84805i	−0.228764	+	0.207279i
$797$	−16.8600	+	35.0101i	−0.597211	+	1.24012i	0.355054	+	0.934846i	$0.384463\pi$
$797$	−16.8600	+	35.0101i	−0.597211	+	1.24012i	−0.952264	+	0.305275i	$0.901252\pi$
$798$	15.8463	+	4.33431i	0.560954	+	0.153433i
$799$	−0.0719364	−	0.149378i	−0.00254493	−	0.00528460i
$800$	21.7721	+	15.8072i	0.769760	+	0.558868i
$801$	−9.57078	−	7.63244i	−0.338167	−	0.269679i
$802$	−0.985418	+	12.1819i	−0.0347963	+	0.430156i
$803$	28.8795			1.01913
$804$	13.2262	+	14.5971i	0.466451	+	0.514800i
$805$	−4.17798	+	5.66956i	−0.147254	+	0.199826i
$806$	28.4217	+	42.2216i	1.00111	+	1.48719i
$807$	4.89068	−	3.90019i	0.172160	−	0.137293i
$808$	31.4891	−	6.60143i	1.10778	−	0.232238i
$809$	45.7877	−	22.0502i	1.60981	−	0.775244i	0.609958	−	0.792434i	$-0.291186\pi$
$809$	45.7877	−	22.0502i	1.60981	−	0.775244i	0.999852	+	0.0171906i	$0.00547220\pi$
$810$	−0.389922	−	0.579245i	−0.0137005	−	0.0203526i
$811$	−23.4657	−	29.4251i	−0.823993	−	1.03325i	−0.998816	−	0.0486549i	$-0.984507\pi$
$811$	−23.4657	−	29.4251i	−0.823993	−	1.03325i	0.174822	−	0.984600i	$-0.444065\pi$
$812$	−18.2653	−	2.26374i	−0.640985	−	0.0794417i
$813$	−4.02349	+	5.04530i	−0.141110	+	0.176946i
$814$	−52.0758	−	4.21253i	−1.82525	−	0.147649i
$815$	5.60548			0.196352
$816$	−13.3626	−	20.6320i	−0.467785	−	0.722265i
$817$	−7.69780	−	1.75697i	−0.269312	−	0.0614687i
$818$	51.8084	−	19.9803i	1.81144	−	0.698596i
$819$	0.498382	+	13.0660i	0.0174149	+	0.456563i
$820$	5.82694	+	4.07457i	0.203486	+	0.142290i
$821$	−5.56576	+	6.97924i	−0.194246	+	0.243577i	−0.869411	−	0.494090i	$-0.835501\pi$
$821$	−5.56576	+	6.97924i	−0.194246	+	0.243577i	0.675164	+	0.737667i	$0.264073\pi$
$822$	1.24457	−	2.12651i	0.0434095	−	0.0741705i
$823$	23.0425	+	5.25930i	0.803211	+	0.183328i	0.604370	−	0.796704i	$-0.293425\pi$
$823$	23.0425	+	5.25930i	0.803211	+	0.183328i	0.198842	+	0.980032i	$0.436282\pi$
$824$	5.91573	+	28.2182i	0.206084	+	0.983029i
$825$	−17.9081	+	4.08740i	−0.623479	+	0.142305i
$826$	14.8828	+	12.9427i	0.517837	+	0.450336i
$827$	28.3966	+	6.48135i	0.987448	+	0.225378i	0.685601	−	0.727978i	$-0.259540\pi$
$827$	28.3966	+	6.48135i	0.987448	+	0.225378i	0.301847	+	0.953356i	$0.402397\pi$
$828$	10.7611	−	0.678485i	0.373975	−	0.0235790i
$829$	23.7859	−	18.9687i	0.826120	−	0.658809i	−0.116310	−	0.993213i	$-0.537107\pi$
$829$	23.7859	−	18.9687i	0.826120	−	0.658809i	0.942430	+	0.334404i	$0.108535\pi$
$830$	−0.0408065	−	0.282047i	−0.00141641	−	0.00978998i
$831$	5.82181	+	2.80364i	0.201957	+	0.0972571i
$832$	18.4078	−	34.9899i	0.638175	−	1.21306i
$833$	−35.5776	−	24.1809i	−1.23269	−	0.837819i
$834$	−0.945171	+	11.6843i	−0.0327286	+	0.404595i
$835$	−0.574915	+	1.19382i	−0.0198958	+	0.0413140i
$836$	33.8466	−	2.13402i	1.17061	−	0.0738065i
$837$	4.54040	+	5.69348i	0.156939	+	0.196795i
$838$	30.6930	−	4.44067i	1.06027	−	0.153400i
$839$	6.75521	−	29.5965i	0.233216	−	1.02178i	−0.713738	−	0.700413i	$-0.752999\pi$
$839$	6.75521	−	29.5965i	0.233216	−	1.02178i	0.946953	−	0.321371i	$-0.104144\pi$
$840$	1.67062	+	3.29558i	0.0576417	+	0.113708i
$841$	3.76105	+	16.4782i	0.129691	+	0.568215i
$842$	−1.96688	−	5.10006i	−0.0677832	−	0.175760i
$843$	0.0360380	−	0.157893i	0.00124122	−	0.00543812i
$844$	14.9671	−	21.4041i	0.515189	−	0.736758i
$845$	4.40997	+	3.51684i	0.151708	+	0.120983i
$846$	0.0192724	−	0.0329293i	0.000662600	−	0.00113213i
$847$	−6.76250	−	7.84665i	−0.232362	−	0.269614i
$848$	−37.2947	+	4.72160i	−1.28070	+	0.162141i
$849$	4.40398	−	19.2951i	0.151144	−	0.662207i
$850$	−28.2939	+	30.1340i	−0.970474	+	1.03359i
$851$		−	51.5717i		−	1.76785i
$852$	4.31455	−	26.4940i	0.147814	−	0.907668i
$853$	12.7993	+	10.2071i	0.438241	+	0.349485i	0.817622	−	0.575755i	$-0.195292\pi$
$853$	12.7993	+	10.2071i	0.438241	+	0.349485i	−0.379381	+	0.925240i	$0.623863\pi$
$854$	46.9371	−	20.1890i	1.60616	−	0.690855i
$855$	1.69491	−	1.35164i	0.0579646	−	0.0462252i
$856$	−17.1757	−	37.3474i	−0.587055	−	1.27651i
$857$	7.56908	+	15.7174i	0.258555	+	0.536895i	0.989324	−	0.145729i	$-0.0465529\pi$
$857$	7.56908	+	15.7174i	0.258555	+	0.536895i	−0.730770	+	0.682624i	$0.760839\pi$
$858$	9.71253	+	25.1843i	0.331580	+	0.859777i
$859$	3.91744	+	4.91232i	0.133661	+	0.167606i	0.844158	−	0.536095i	$-0.180101\pi$
$859$	3.91744	+	4.91232i	0.133661	+	0.167606i	−0.710496	+	0.703701i	$0.751530\pi$
$860$	−0.869638	−	1.54828i	−0.0296544	−	0.0527961i
$861$	−8.91382	−	16.8362i	−0.303782	−	0.573777i
$862$	11.5574	−	12.3091i	0.393648	−	0.419249i
$863$			15.7308i			0.535483i	0.963491	+	0.267742i	$0.0862774\pi$
$863$			15.7308i			0.535483i	−0.963491	+	0.267742i	$0.913723\pi$
$864$	2.22154	−	5.20238i	0.0755782	−	0.176989i
$865$	3.26416	−	4.09313i	0.110985	−	0.139170i
$866$	−8.99290	+	28.5534i	−0.305591	+	0.970283i
$867$	18.7086	−	9.00957i	0.635376	−	0.305981i
$868$	−20.1376	−	32.8533i	−0.683514	−	1.11511i
$869$	−22.5724	−	10.8703i	−0.765718	−	0.368750i
$870$	−1.66244	+	1.77055i	−0.0563619	+	0.0600274i
$871$	−43.8539	−	21.1189i	−1.48593	−	0.715588i
$872$	−20.8496	−	10.5005i	−0.706057	−	0.355593i
$873$	−4.26586	−	8.85815i	−0.144378	−	0.299803i
$874$	4.79342	+	33.1312i	0.162140	+	1.12068i
$875$	9.65413	−	8.32024i	0.326369	−	0.281275i
$876$	13.8562	+	5.62826i	0.468156	+	0.190161i
$877$	−0.394486	−	1.72836i	−0.0133208	−	0.0583624i	0.967831	−	0.251602i	$-0.0809575\pi$
$877$	−0.394486	−	1.72836i	−0.0133208	−	0.0583624i	−0.981152	+	0.193240i	$0.938100\pi$
$878$	−27.1613	+	18.2838i	−0.916649	+	0.617048i
$879$	−1.58308	+	0.361327i	−0.0533959	+	0.0121873i
$880$	5.46693	+	5.31880i	0.184290	+	0.179297i
$881$		−	4.22689i		−	0.142408i	−0.997462	−	0.0712038i	$-0.977316\pi$
$881$		−	4.22689i		−	0.142408i	0.997462	−	0.0712038i	$-0.0226841\pi$
$882$	0.0442173	−	9.89940i	0.00148887	−	0.333330i
$883$		−	14.2224i		−	0.478621i	−0.970943	−	0.239310i	$-0.923079\pi$
$883$		−	14.2224i		−	0.478621i	0.970943	−	0.239310i	$-0.0769214\pi$
$884$	49.7784	+	34.8082i	1.67423	+	1.17073i
$885$	2.53741	−	0.579147i	0.0852940	−	0.0194678i
$886$	1.36182	+	2.02303i	0.0457511	+	0.0679651i
$887$	−5.45509	−	23.9003i	−0.183164	−	0.802494i	−0.980112	−	0.198446i	$-0.936411\pi$
$887$	−5.45509	−	23.9003i	−0.183164	−	0.802494i	0.796948	−	0.604048i	$-0.206447\pi$
$888$	−24.1646	−	12.1701i	−0.810912	−	0.408401i
$889$	38.3751	+	28.2792i	1.28706	+	0.948453i
$890$	8.45963	−	1.22394i	0.283568	−	0.0410265i
$891$	1.67567	+	3.47956i	0.0561370	+	0.116570i
$892$	8.31368	−	20.4674i	0.278363	−	0.685299i
$893$	0.106727	+	0.0513968i	0.00357147	+	0.00171993i
$894$	−24.2224	−	22.7433i	−0.810118	−	0.760649i
$895$	4.28610	+	2.06408i	0.143269	+	0.0689946i
$896$	−15.0519	+	25.8735i	−0.502848	+	0.864375i
$897$	−24.0053	+	11.5604i	−0.801515	+	0.385989i
$898$	2.66970	+	0.840825i	0.0890891	+	0.0280587i
$899$	15.7925	−	19.8032i	0.526709	−	0.660472i
$900$	−9.38875	−	1.52896i	−0.312958	−	0.0509654i
$901$		−	57.7543i		−	1.92407i
$902$	−28.6694	−	26.9187i	−0.954587	−	0.896296i
$903$	0.181349	+	4.75440i	0.00603493	+	0.158217i
$904$	2.35552	−	1.08328i	0.0783433	−	0.0360294i
$905$	−3.56739	−	4.47337i	−0.118584	−	0.148700i
$906$	−23.8885	+	9.21280i	−0.793641	+	0.306075i
$907$	8.01222	+	16.6375i	0.266041	+	0.552441i	0.990603	−	0.136770i	$-0.0436720\pi$
$907$	8.01222	+	16.6375i	0.266041	+	0.552441i	−0.724562	+	0.689210i	$0.757958\pi$
$908$	−18.8017	−	33.4741i	−0.623956	−	1.11088i
$909$	−8.89340	+	7.09225i	−0.294976	+	0.235235i
$910$	−6.88932	−	5.99128i	−0.228379	−	0.198609i
$911$	−14.2956	−	11.4003i	−0.473633	−	0.377710i	0.357383	−	0.933958i	$-0.383669\pi$
$911$	−14.2956	−	11.4003i	−0.473633	−	0.377710i	−0.831016	+	0.556248i	$0.812240\pi$
$912$	16.6552	+	5.57240i	0.551510	+	0.184521i
$913$			1.57622i			0.0521654i
$914$	−36.8614	−	34.6105i	−1.21927	−	1.14481i
$915$	1.50033	−	6.57336i	0.0495992	−	0.217308i
$916$	−6.26205	−	21.1881i	−0.206904	−	0.700073i
$917$	−3.25233	+	17.2575i	−0.107401	+	0.569892i
$918$	7.50061	+	4.38985i	0.247557	+	0.144887i
$919$	11.6825	+	9.31651i	0.385371	+	0.307323i	0.796943	−	0.604054i	$-0.206449\pi$
$919$	11.6825	+	9.31651i	0.385371	+	0.307323i	−0.411572	+	0.911377i	$0.635020\pi$
$920$	−4.79796	+	5.80212i	−0.158184	+	0.191290i
$921$	−0.0808447	+	0.354204i	−0.00266392	+	0.0116714i
$922$	−15.9695	+	6.15878i	−0.525928	+	0.202829i
$923$	14.7598	+	64.6670i	0.485825	+	2.12854i
$924$	−6.53486	−	19.3629i	−0.214981	−	0.636992i
$925$	−10.1241	+	44.3564i	−0.332877	+	1.45843i
$926$	3.39868	+	23.4910i	0.111687	+	0.771963i
$927$	−6.35556	−	7.96962i	−0.208744	−	0.261757i
$928$	−19.3608	−	3.50674i	−0.635548	−	0.115114i
$929$	3.81355	−	7.91891i	0.125118	−	0.259811i	−0.828995	−	0.559256i	$-0.811087\pi$
$929$	3.81355	−	7.91891i	0.125118	−	0.259811i	0.954114	+	0.299444i	$0.0968013\pi$
$930$	−5.06832	−	0.409988i	−0.166197	−	0.0134440i
$931$	30.6455	−	2.34125i	1.00436	−	0.0767315i
$932$	−44.1536	−	7.19043i	−1.44630	−	0.235530i
$933$	9.71746	+	4.67968i	0.318135	+	0.153206i
$934$	22.4196	−	3.24366i	0.733591	−	0.106136i
$935$	−9.16163	+	7.30616i	−0.299617	+	0.238937i
$936$	−0.248105	+	13.9761i	−0.00810957	+	0.456823i
$937$	−0.331539	−	0.0756716i	−0.0108309	−	0.00247208i	0.217102	−	0.976149i	$-0.430340\pi$
$937$	−0.331539	−	0.0756716i	−0.0108309	−	0.00247208i	−0.227933	+	0.973677i	$0.573197\pi$
$938$	32.4910	+	17.3884i	1.06087	+	0.567751i
$939$	−11.3494	+	2.59042i	−0.370373	+	0.0845353i
$940$	0.00755098	+	0.0255492i	0.000246286	+	0.000833324i
$941$	−9.88342	−	2.25583i	−0.322190	−	0.0735379i	0.0583669	−	0.998295i	$-0.481411\pi$
$941$	−9.88342	−	2.25583i	−0.322190	−	0.0735379i	−0.380557	+	0.924757i	$0.624268\pi$
$942$	−22.3301	−	13.0690i	−0.727553	−	0.425813i
$943$	24.2031	−	30.3497i	0.788162	−	0.988324i
$944$	15.1128	+	14.7033i	0.491880	+	0.478552i
$945$	−1.05162	−	0.774957i	−0.0342094	−	0.0252094i
$946$	3.53416	+	9.16395i	0.114905	+	0.297946i
$947$	36.2183	+	8.26658i	1.17694	+	0.268628i	0.765881	−	0.642983i	$-0.222303\pi$
$947$	36.2183	+	8.26658i	1.17694	+	0.268628i	0.411055	+	0.911611i	$0.365161\pi$
$948$	−8.71161	−	9.61460i	−0.282940	−	0.312268i
$949$	−36.9559			−1.19964
$950$	2.38122	−	29.4369i	0.0772570	−	0.955059i
$951$	−4.39503	+	5.51119i	−0.142518	+	0.178712i
$952$	−36.5311	−	27.9342i	−1.18398	−	0.905352i
$953$	−3.41753	−	4.28545i	−0.110705	−	0.138819i	0.723392	−	0.690437i	$-0.242582\pi$
$953$	−3.41753	−	4.28545i	−0.110705	−	0.138819i	−0.834097	+	0.551618i	$0.814011\pi$
$954$	11.0256	−	7.42193i	0.356966	−	0.240294i
$955$	0.837091	−	0.403122i	0.0270876	−	0.0130447i
$956$	−0.372046	−	1.25884i	−0.0120328	−	0.0407138i
$957$	10.5023	−	8.37531i	0.339491	−	0.270735i
$958$	−35.8384	+	24.1249i	−1.15789	+	0.779439i
$959$	0.853696	−	4.52987i	0.0275673	−	0.146277i
$960$	1.58642	+	3.61736i	0.0512016	+	0.116750i
$961$	22.0308			0.710673
$962$	66.6393	+	5.39061i	2.14854	+	0.173800i
$963$	11.3629	+	9.06164i	0.366166	+	0.292007i
$964$	−0.867204	−	0.352251i	−0.0279308	−	0.0113452i
$965$	−3.62652	−	7.53056i	−0.116742	−	0.242417i
$966$	18.5307	−	7.97059i	0.596215	−	0.256450i
$967$	−5.10615	+	10.6030i	−0.164203	+	0.340970i	−0.966793	−	0.255560i	$-0.917740\pi$
$967$	−5.10615	+	10.6030i	−0.164203	+	0.340970i	0.802591	+	0.596530i	$0.203454\pi$
$968$	−6.74967	−	8.77907i	−0.216943	−	0.282170i
$969$	−11.7071	+	24.3101i	−0.376086	+	0.780951i
$970$	6.54805	+	2.06231i	0.210245	+	0.0662169i
$971$	−4.05493	+	1.95275i	−0.130129	+	0.0626667i	−0.497815	−	0.867283i	$-0.665864\pi$
$971$	−4.05493	+	1.95275i	−0.130129	+	0.0626667i	0.367686	+	0.929950i	$0.380150\pi$
$972$	0.125849	+	1.99604i	0.00403662	+	0.0640229i
$973$	5.69145	+	21.1794i	0.182460	+	0.678979i
$974$	−6.67730	+	21.2011i	−0.213955	+	0.679327i
$975$	22.9162	−	5.23048i	0.733907	−	0.167510i
$976$	51.3049	−	18.7471i	1.64223	−	0.600079i
$977$	8.06639	+	35.3411i	0.258067	+	1.13066i	0.923316	+	0.384042i	$0.125468\pi$
$977$	8.06639	+	35.3411i	0.258067	+	1.13066i	−0.665249	+	0.746621i	$0.731675\pi$
$978$	−13.8568	−	8.10994i	−0.443093	−	0.259327i
$979$	−47.2769			−1.51098
$980$	5.01806	+	4.75399i	0.160296	+	0.151860i
$981$	8.25354			0.263515
$982$	2.04083	+	1.19443i	0.0651256	+	0.0381158i
$983$	−4.50114	−	19.7208i	−0.143564	−	0.628995i	−0.994591	−	0.103873i	$-0.966877\pi$
$983$	−4.50114	−	19.7208i	−0.143564	−	0.628995i	0.851027	−	0.525123i	$-0.175981\pi$
$984$	−8.50925	−	18.5028i	−0.271265	−	0.589846i
$985$	0.309579	−	0.0706595i	0.00986402	−	0.00225140i
$986$	9.08075	−	28.8323i	0.289190	−	0.918207i
$987$	0.0132196	−	0.0701458i	0.000420785	−	0.00223276i
$988$	−43.3121	+	2.73082i	−1.37794	+	0.0868788i
$989$	−8.73496	+	4.20654i	−0.277756	+	0.133760i
$990$	−2.57213	−	0.810095i	−0.0817477	−	0.0257465i
$991$	−6.24816	+	12.9744i	−0.198479	+	0.412147i	−0.976325	−	0.216309i	$-0.930598\pi$
$991$	−6.24816	+	12.9744i	−0.198479	+	0.412147i	0.777846	+	0.628455i	$0.216312\pi$
$992$	−19.5330	−	36.2691i	−0.620173	−	1.15155i
$993$	4.83838	−	10.0470i	0.153541	−	0.318832i
$994$	−9.07992	−	49.3909i	−0.287998	−	1.56658i
$995$	0.932913	+	1.93721i	0.0295753	+	0.0614138i
$996$	−0.307187	+	0.756262i	−0.00973360	+	0.0239631i
$997$	−6.28624	−	5.01311i	−0.199087	−	0.158767i	0.518872	−	0.854852i	$-0.326352\pi$
$997$	−6.28624	−	5.01311i	−0.199087	−	0.158767i	−0.717959	+	0.696085i	$0.754924\pi$
$998$	16.7910	+	1.35827i	0.531511	+	0.0429952i
$999$	9.56582			0.302649

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.559.11	yes	168
4.3	odd	2		588.2.x.b.559.19	yes	168
49.27	odd	14		588.2.x.b.223.19	yes	168
196.27	even	14	inner	588.2.x.a.223.11	✓	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.11	✓	168	196.27	even	14	inner
588.2.x.a.559.11	yes	168	1.1	even	1	trivial
588.2.x.b.223.19	yes	168	49.27	odd	14
588.2.x.b.559.19	yes	168	4.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.714341 + 1.22054i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.979434 - 1.74376i) q^{4} +(-0.481364 + 0.109868i) q^{5} +(1.34889 + 0.424835i) q^{6} +(2.64383 - 0.100845i) q^{7} +(2.82798 + 0.0502026i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})\)	\(q+(-0.714341 + 1.22054i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.979434 - 1.74376i) q^{4} +(-0.481364 + 0.109868i) q^{5} +(1.34889 + 0.424835i) q^{6} +(2.64383 - 0.100845i) q^{7} +(2.82798 + 0.0502026i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(0.209759 - 0.666007i) q^{10} +(-1.67567 + 3.47956i) q^{11} +(-1.48210 + 1.34290i) q^{12} +(2.14429 - 4.45265i) q^{13} +(-1.76551 + 3.29894i) q^{14} +(0.214227 + 0.444847i) q^{15} +(-2.08142 + 3.41580i) q^{16} +(-4.80460 - 3.83154i) q^{17} +(0.114027 - 1.40961i) q^{18} +4.39068 q^{19} +(0.663048 + 0.731775i) q^{20} +(-0.686624 - 2.55510i) q^{21} +(-3.04994 - 4.53081i) q^{22} +(4.21504 - 3.36138i) q^{23} +(-0.580341 - 2.76825i) q^{24} +(-4.28520 + 2.06365i) q^{25} +(3.90289 + 5.79790i) q^{26} +(0.623490 + 0.781831i) q^{27} +(-2.76531 - 4.51144i) q^{28} +(2.16863 - 2.71938i) q^{29} +(-0.695984 - 0.0562998i) q^{30} +7.28223 q^{31} +(-2.68228 - 4.98050i) q^{32} +(3.76519 + 0.859380i) q^{33} +(8.10868 - 3.12718i) q^{34} +(-1.26156 + 0.339015i) q^{35} +(1.63903 + 1.14612i) q^{36} +(5.96419 - 7.47886i) q^{37} +(-3.13644 + 5.35900i) q^{38} +(-4.81817 - 1.09971i) q^{39} +(-1.36680 + 0.286539i) q^{40} +(7.01981 - 1.60223i) q^{41} +(3.60909 + 0.987163i) q^{42} +(-1.75321 - 0.400160i) q^{43} +(7.70873 - 0.486033i) q^{44} +(0.386024 - 0.307844i) q^{45} +(1.09173 + 7.54580i) q^{46} +(0.0243075 + 0.0117059i) q^{47} +(3.79332 + 1.26914i) q^{48} +(6.97966 - 0.533232i) q^{49} +(0.542335 - 6.70441i) q^{50} +(-2.66635 + 5.53674i) q^{51} +(-9.86456 + 0.621957i) q^{52} +(5.85961 + 7.34772i) q^{53} +(-1.39964 + 0.202500i) q^{54} +(0.424313 - 1.85904i) q^{55} +(7.48176 - 0.152460i) q^{56} +(-0.977018 - 4.28060i) q^{57} +(1.76997 + 4.58947i) q^{58} +(1.17297 - 5.13913i) q^{59} +(0.565886 - 0.809259i) q^{60} +(-10.6765 - 8.51419i) q^{61} +(-5.20199 + 8.88825i) q^{62} +(-2.33825 + 1.23797i) q^{63} +(7.99496 + 0.283944i) q^{64} +(-0.542976 + 2.37893i) q^{65} +(-3.73854 + 3.98167i) q^{66} -9.84894i q^{67} +(-1.97551 + 12.1308i) q^{68} +(-4.21504 - 3.36138i) q^{69} +(0.487404 - 1.78196i) q^{70} +(-10.4933 + 8.36816i) q^{71} +(-2.56971 + 1.18178i) q^{72} +(-3.24450 - 6.73728i) q^{73} +(4.86778 + 12.6220i) q^{74} +(2.96545 + 3.71856i) q^{75} +(-4.30038 - 7.65630i) q^{76} +(-4.07928 + 9.36834i) q^{77} +(4.78406 - 5.09519i) q^{78} +6.48716i q^{79} +(0.626631 - 1.87292i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-3.05896 + 9.71250i) q^{82} +(0.367717 - 0.177083i) q^{83} +(-3.78299 + 3.69986i) q^{84} +(2.73373 + 1.31649i) q^{85} +(1.74080 - 1.85402i) q^{86} +(-3.13377 - 1.50914i) q^{87} +(-4.91344 + 9.75601i) q^{88} +(5.31138 + 11.0292i) q^{89} +(0.0999829 + 0.691062i) q^{90} +(5.22010 - 11.9883i) q^{91} +(-9.98981 - 4.05778i) q^{92} +(-1.62045 - 7.09965i) q^{93} +(-0.0316514 + 0.0213063i) q^{94} +(-2.11351 + 0.482396i) q^{95} +(-4.25876 + 3.72330i) q^{96} +9.83181i q^{97} +(-4.33503 + 8.89986i) q^{98} -3.86202i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

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