LMFDB - Embedded newform 588.2.x.a.55.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			55.26
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.37926 + 0.312484i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.80471 + 0.861993i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(-1.10709 - 0.879976i) q^{6} +(0.448708 - 2.60742i) q^{7} +(2.21980 + 1.75285i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(1.37926 + 0.312484i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.80471 + 0.861993i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(-1.10709 - 0.879976i) q^{6} +(0.448708 - 2.60742i) q^{7} +(2.21980 + 1.75285i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.57517 + 1.98171i) q^{10} +(3.75243 + 2.99247i) q^{11} +(-1.25198 - 1.55966i) q^{12} +(0.836410 + 0.667015i) q^{13} +(1.43366 - 3.45610i) q^{14} +(1.39949 - 1.11606i) q^{15} +(2.51394 + 3.11129i) q^{16} +(-5.54059 - 1.26460i) q^{17} +(0.615644 + 1.27318i) q^{18} +6.65670 q^{19} +(-2.79182 + 2.24107i) q^{20} +(-1.53559 + 2.15452i) q^{21} +(4.24048 + 5.29996i) q^{22} +(0.388300 - 0.0886269i) q^{23} +(-1.23943 - 2.54240i) q^{24} +(1.11968 + 1.40404i) q^{25} +(0.945194 + 1.18135i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(3.05737 - 4.31885i) q^{28} +(-1.41231 + 6.18773i) q^{29} +(2.27901 - 1.10201i) q^{30} +1.92641 q^{31} +(2.49514 + 5.07684i) q^{32} +(-2.08244 - 4.32424i) q^{33} +(-7.24673 - 3.47556i) q^{34} +(3.85663 + 2.74874i) q^{35} +(0.451283 + 1.94842i) q^{36} +(0.0915946 - 0.401302i) q^{37} +(9.18132 + 2.08012i) q^{38} +(-0.464173 - 0.963864i) q^{39} +(-4.55094 + 2.21861i) q^{40} +(2.82082 - 5.85749i) q^{41} +(-2.79123 + 2.49179i) q^{42} +(-5.15543 - 10.7054i) q^{43} +(4.19256 + 8.63509i) q^{44} +(-1.74514 + 0.398317i) q^{45} +(0.563260 - 0.000901828i) q^{46} +(-1.04783 + 1.31394i) q^{47} +(-0.915040 - 3.89393i) q^{48} +(-6.59732 - 2.33995i) q^{49} +(1.10559 + 2.28642i) q^{50} +(4.44321 + 3.54334i) q^{51} +(0.934513 + 1.92475i) q^{52} +(-0.839180 - 3.67669i) q^{53} +(-0.00226428 - 1.41421i) q^{54} +(-7.74046 + 3.72761i) q^{55} +(5.56647 - 5.00144i) q^{56} +(-5.99748 - 2.88824i) q^{57} +(-3.88151 + 8.09315i) q^{58} +(-7.27403 + 3.50299i) q^{59} +(3.48771 - 0.807805i) q^{60} +(-2.37979 - 0.543171i) q^{61} +(2.65701 + 0.601972i) q^{62} +(2.31833 - 1.27489i) q^{63} +(1.85501 + 7.78196i) q^{64} +(-1.72533 + 0.830877i) q^{65} +(-1.52097 - 6.61497i) q^{66} -10.8322i q^{67} +(-8.90906 - 7.05818i) q^{68} +(-0.388300 - 0.0886269i) q^{69} +(4.46035 + 4.99635i) q^{70} +(-1.61420 + 0.368430i) q^{71} +(0.0135856 + 2.82839i) q^{72} +(-7.88932 + 6.29152i) q^{73} +(0.251733 - 0.524877i) q^{74} +(-0.399611 - 1.75081i) q^{75} +(12.0134 + 5.73803i) q^{76} +(9.48637 - 8.44144i) q^{77} +(-0.339022 - 1.47446i) q^{78} -7.64032i q^{79} +(-6.97021 + 1.63794i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(5.72101 - 7.19753i) q^{82} +(-3.85571 - 4.83491i) q^{83} +(-4.62847 + 2.56461i) q^{84} +(6.34264 - 7.95342i) q^{85} +(-3.76542 - 16.3765i) q^{86} +(3.95720 - 4.96217i) q^{87} +(3.08429 + 13.2201i) q^{88} +(6.71153 - 5.35227i) q^{89} +(-2.53146 + 0.00405309i) q^{90} +(2.11449 - 1.88158i) q^{91} +(0.777163 + 0.174766i) q^{92} +(-1.73563 - 0.835836i) q^{93} +(-1.85581 + 1.48483i) q^{94} +(-5.16999 + 10.7356i) q^{95} +(-0.0452850 - 5.65667i) q^{96} -2.84644i q^{97} +(-8.36822 - 5.28895i) q^{98} +4.79954i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	1.37926	+	0.312484i	0.975283	+	0.220960i
$2$	1.37926	+	0.312484i	0.975283	+	0.220960i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	1.80471	+	0.861993i	0.902354	+	0.430996i
$5$	−0.776660	+	1.61275i	−0.347333	+	0.721244i	−0.999316	−	0.0369897i	$-0.988223\pi$
$5$	−0.776660	+	1.61275i	−0.347333	+	0.721244i	0.651983	+	0.758234i	$0.273937\pi$
$6$	−1.10709	−	0.879976i	−0.451966	−	0.359249i
$7$	0.448708	−	2.60742i	0.169596	−	0.985514i
$7$	0.448708	−	2.60742i	0.169596	−	0.985514i
$8$	2.21980	+	1.75285i	0.784817	+	0.619727i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−1.57517	+	1.98171i	−0.498114	+	0.626670i
$11$	3.75243	+	2.99247i	1.13140	+	0.902262i	0.996073	−	0.0885386i	$-0.0282197\pi$
$11$	3.75243	+	2.99247i	1.13140	+	0.902262i	0.135328	+	0.990801i	$0.456791\pi$
$12$	−1.25198	−	1.55966i	−0.361416	−	0.450236i
$13$	0.836410	+	0.667015i	0.231978	+	0.184997i	0.732580	−	0.680681i	$-0.238316\pi$
$13$	0.836410	+	0.667015i	0.231978	+	0.184997i	−0.500601	+	0.865678i	$0.666888\pi$
$14$	1.43366	−	3.45610i	0.383163	−	0.923681i
$15$	1.39949	−	1.11606i	0.361347	−	0.288165i
$16$	2.51394	+	3.11129i	0.628484	+	0.777822i
$17$	−5.54059	−	1.26460i	−1.34379	−	0.306711i	−0.510657	−	0.859785i	$-0.670598\pi$
$17$	−5.54059	−	1.26460i	−1.34379	−	0.306711i	−0.833133	+	0.553073i	$0.813455\pi$
$18$	0.615644	+	1.27318i	0.145109	+	0.300091i
$19$	6.65670			1.52715			0.763576	−	0.645718i	$-0.223442\pi$
$19$	6.65670			1.52715			0.763576	+	0.645718i	$0.223442\pi$
$20$	−2.79182	+	2.24107i	−0.624271	+	0.501118i
$21$	−1.53559	+	2.15452i	−0.335093	+	0.470155i
$22$	4.24048	+	5.29996i	0.904073	+	1.12995i
$23$	0.388300	−	0.0886269i	0.0809661	−	0.0184800i	−0.181846	−	0.983327i	$-0.558207\pi$
$23$	0.388300	−	0.0886269i	0.0809661	−	0.0184800i	0.262812	+	0.964847i	$0.415350\pi$
$24$	−1.23943	−	2.54240i	−0.252999	−	0.518965i
$25$	1.11968	+	1.40404i	0.223937	+	0.280808i
$26$	0.945194	+	1.18135i	0.185368	+	0.231682i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	3.05737	−	4.31885i	0.577788	−	0.816187i
$29$	−1.41231	+	6.18773i	−0.262259	+	1.14903i	0.656535	+	0.754296i	$0.272021\pi$
$29$	−1.41231	+	6.18773i	−0.262259	+	1.14903i	−0.918794	+	0.394737i	$0.870836\pi$
$30$	2.27901	−	1.10201i	0.416089	−	0.201199i
$31$	1.92641			0.345993			0.172996	−	0.984922i	$-0.444655\pi$
$31$	1.92641			0.345993			0.172996	+	0.984922i	$0.444655\pi$
$32$	2.49514	+	5.07684i	0.441082	+	0.897467i
$33$	−2.08244	−	4.32424i	−0.362507	−	0.752753i
$34$	−7.24673	−	3.47556i	−1.24280	−	0.596054i
$35$	3.85663	+	2.74874i	0.651890	+	0.464621i
$36$	0.451283	+	1.94842i	0.0752139	+	0.324737i
$37$	0.0915946	−	0.401302i	0.0150581	−	0.0659737i	−0.966841	−	0.255380i	$-0.917799\pi$
$37$	0.0915946	−	0.401302i	0.0150581	−	0.0659737i	0.981899	+	0.189407i	$0.0606565\pi$
$38$	9.18132	+	2.08012i	1.48941	+	0.337439i
$39$	−0.464173	−	0.963864i	−0.0743271	−	0.154342i
$40$	−4.55094	+	2.21861i	−0.719567	+	0.350793i
$41$	2.82082	−	5.85749i	0.440538	−	0.914786i	−0.555963	−	0.831207i	$-0.687651\pi$
$41$	2.82082	−	5.85749i	0.440538	−	0.914786i	0.996501	−	0.0835792i	$-0.0266352\pi$
$42$	−2.79123	+	2.49179i	−0.430696	+	0.384492i
$43$	−5.15543	−	10.7054i	−0.786196	−	1.63255i	−0.774460	−	0.632623i	$-0.781978\pi$
$43$	−5.15543	−	10.7054i	−0.786196	−	1.63255i	−0.0117361	−	0.999931i	$-0.503736\pi$
$44$	4.19256	+	8.63509i	0.632052	+	1.30179i
$45$	−1.74514	+	0.398317i	−0.260150	+	0.0593775i
$46$	0.563260		0.000901828i	0.0830482		0.000132967i
$47$	−1.04783	+	1.31394i	−0.152842	+	0.191657i	−0.852357	−	0.522960i	$-0.824828\pi$
$47$	−1.04783	+	1.31394i	−0.152842	+	0.191657i	0.699516	+	0.714617i	$0.253399\pi$
$48$	−0.915040	−	3.89393i	−0.132075	−	0.562041i
$49$	−6.59732	−	2.33995i	−0.942475	−	0.334278i
$50$	1.10559	+	2.28642i	0.156355	+	0.323348i
$51$	4.44321	+	3.54334i	0.622173	+	0.496167i
$52$	0.934513	+	1.92475i	0.129594	+	0.266914i
$53$	−0.839180	−	3.67669i	−0.115270	−	0.505032i	−0.999293	−	0.0375887i	$-0.988032\pi$
$53$	−0.839180	−	3.67669i	−0.115270	−	0.505032i	0.884023	−	0.467443i	$-0.154825\pi$
$54$	−0.00226428	−	1.41421i	−0.000308129	−	0.192450i
$55$	−7.74046	+	3.72761i	−1.04372	+	0.502631i
$56$	5.56647	−	5.00144i	0.743851	−	0.668345i
$57$	−5.99748	−	2.88824i	−0.794386	−	0.382556i
$58$	−3.88151	+	8.09315i	−0.509667	+	1.06268i
$59$	−7.27403	+	3.50299i	−0.946999	+	0.456050i	−0.842633	−	0.538489i	$-0.818996\pi$
$59$	−7.27403	+	3.50299i	−0.946999	+	0.456050i	−0.104366	+	0.994539i	$0.533281\pi$
$60$	3.48771	−	0.807805i	0.450261	−	0.104287i
$61$	−2.37979	−	0.543171i	−0.304700	−	0.0695459i	0.0674370	−	0.997724i	$-0.478518\pi$
$61$	−2.37979	−	0.543171i	−0.304700	−	0.0695459i	−0.372137	+	0.928178i	$0.621375\pi$
$62$	2.65701	+	0.601972i	0.337441	+	0.0764505i
$63$	2.31833	−	1.27489i	0.292082	−	0.160621i
$64$	1.85501	+	7.78196i	0.231876	+	0.972745i
$65$	−1.72533	+	0.830877i	−0.214001	+	0.103058i
$66$	−1.52097	−	6.61497i	−0.187219	−	0.814247i
$67$		−	10.8322i		−	1.32336i	−0.749784	−	0.661682i	$-0.769843\pi$
$67$		−	10.8322i		−	1.32336i	0.749784	−	0.661682i	$-0.230157\pi$
$68$	−8.90906	−	7.05818i	−1.08038	−	0.855930i
$69$	−0.388300	−	0.0886269i	−0.0467458	−	0.0106694i
$70$	4.46035	+	4.99635i	0.533114	+	0.597178i
$71$	−1.61420	+	0.368430i	−0.191570	+	0.0437246i	−0.317229	−	0.948349i	$-0.602752\pi$
$71$	−1.61420	+	0.368430i	−0.191570	+	0.0437246i	0.125659	+	0.992073i	$0.459895\pi$
$72$	0.0135856	+	2.82839i	0.00160108	+	0.333329i
$73$	−7.88932	+	6.29152i	−0.923375	+	0.736367i	−0.964858	−	0.262772i	$-0.915363\pi$
$73$	−7.88932	+	6.29152i	−0.923375	+	0.736367i	0.0414830	+	0.999139i	$0.486792\pi$
$74$	0.251733	−	0.524877i	0.0292634	−	0.0610158i
$75$	−0.399611	−	1.75081i	−0.0461431	−	0.202166i
$76$	12.0134	+	5.73803i	1.37803	+	0.658197i
$77$	9.48637	−	8.44144i	1.08107	−	0.961991i
$78$	−0.339022	−	1.47446i	−0.0383866	−	0.166950i
$79$		−	7.64032i		−	0.859603i	−0.902923	−	0.429802i	$-0.858583\pi$
$79$		−	7.64032i		−	0.859603i	0.902923	−	0.429802i	$-0.141417\pi$
$80$	−6.97021	+	1.63794i	−0.779293	+	0.183127i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	5.72101	−	7.19753i	0.631780	−	0.794834i
$83$	−3.85571	−	4.83491i	−0.423219	−	0.530700i	0.523815	−	0.851832i	$-0.324508\pi$
$83$	−3.85571	−	4.83491i	−0.423219	−	0.530700i	−0.947034	+	0.321132i	$0.895937\pi$
$84$	−4.62847	+	2.56461i	−0.505008	+	0.279822i
$85$	6.34264	−	7.95342i	0.687956	−	0.862669i
$86$	−3.76542	−	16.3765i	−0.406035	−	1.76592i
$87$	3.95720	−	4.96217i	0.424257	−	0.532001i
$88$	3.08429	+	13.2201i	0.328787	+	1.40927i
$89$	6.71153	−	5.35227i	0.711421	−	0.567339i	−0.199511	−	0.979896i	$-0.563935\pi$
$89$	6.71153	−	5.35227i	0.711421	−	0.567339i	0.910932	+	0.412556i	$0.135364\pi$
$90$	−2.53146	+	0.00405309i	−0.266840	+	0.000427234i
$91$	2.11449	−	1.88158i	0.221659	−	0.197243i
$92$	0.777163	+	0.174766i	0.0810248	+	0.0182206i
$93$	−1.73563	−	0.835836i	−0.179977	−	0.0866722i
$94$	−1.85581	+	1.48483i	−0.191412	+	0.153148i
$95$	−5.16999	+	10.7356i	−0.530430	+	1.10145i
$96$	−0.0452850	−	5.65667i	−0.00462189	−	0.577332i
$97$		−	2.84644i		−	0.289012i	−0.989504	−	0.144506i	$-0.953841\pi$
$97$		−	2.84644i		−	0.289012i	0.989504	−	0.144506i	$-0.0461593\pi$
$98$	−8.36822	−	5.28895i	−0.845317	−	0.534264i
$99$			4.79954i			0.482372i
$100$	0.810430	+	3.49904i	0.0810430	+	0.349904i
$101$	−4.04205	+	8.39341i	−0.402199	+	0.835176i	0.597252	+	0.802054i	$0.296259\pi$
$101$	−4.04205	+	8.39341i	−0.402199	+	0.835176i	−0.999451	+	0.0331219i	$0.989455\pi$
$102$	5.02109	+	6.27561i	0.497162	+	0.621378i
$103$	−9.05209	−	4.35926i	−0.891929	−	0.429530i	−0.0689617	−	0.997619i	$-0.521969\pi$
$103$	−9.05209	−	4.35926i	−0.891929	−	0.429530i	−0.822967	+	0.568089i	$0.807683\pi$
$104$	0.687483	+	2.94674i	0.0674132	+	0.288952i
$105$	−2.28207	−	4.14986i	−0.222708	−	0.404984i
$106$	−0.00853913	−	5.33334i	−0.000829394	−	0.518019i
$107$	9.94318	−	7.92942i	0.961243	−	0.766566i	−0.0111442	−	0.999938i	$-0.503547\pi$
$107$	9.94318	−	7.92942i	0.961243	−	0.766566i	0.972388	+	0.233372i	$0.0749760\pi$
$108$	0.438796	−	1.95127i	0.0422231	−	0.187761i
$109$	−1.64149	+	2.05836i	−0.157226	+	0.197155i	−0.854205	−	0.519936i	$-0.825956\pi$
$109$	−1.64149	+	2.05836i	−0.157226	+	0.197155i	0.696979	+	0.717092i	$0.254527\pi$
$110$	−11.8409	+	2.72257i	−1.12899	+	0.259586i
$111$	−0.256642	+	0.321819i	−0.0243594	+	0.0305457i
$112$	9.24048	−	5.15884i	0.873143	−	0.487464i
$113$	4.35862	+	5.46553i	0.410024	+	0.514154i	0.943370	−	0.331743i	$-0.107637\pi$
$113$	4.35862	+	5.46553i	0.410024	+	0.514154i	−0.533345	+	0.845898i	$0.679065\pi$
$114$	−7.36955	−	5.85774i	−0.690222	−	0.548628i
$115$	−0.158644	+	0.695063i	−0.0147936	+	0.0648150i
$116$	−7.88258	+	9.94964i	−0.731880	+	0.923801i
$117$			1.06981i			0.0989039i
$118$	−11.1274	+	2.55851i	−1.02436	+	0.235530i
$119$	−5.78346	+	13.8792i	−0.530169	+	1.27231i
$120$	5.06288	−	0.0243185i	0.462175	−	0.00221996i
$121$	2.67817	+	11.7338i	0.243470	+	1.06671i
$122$	−3.11261	−	1.49282i	−0.281802	−	0.135153i
$123$	−5.08294	+	4.05351i	−0.458313	+	0.365492i
$124$	3.47660	+	1.66055i	0.312208	+	0.149122i
$125$	−11.8597	+	2.70689i	−1.06076	+	0.242112i
$126$	3.59596	−	1.03396i	0.320354	−	0.0921123i
$127$	−17.3041	−	3.94954i	−1.53549	−	0.350465i	−0.630598	−	0.776110i	$-0.717190\pi$
$127$	−17.3041	−	3.94954i	−1.53549	−	0.350465i	−0.904890	+	0.425645i	$0.860047\pi$
$128$	0.126797	+	11.3130i	0.0112074	+	0.999937i
$129$			11.8821i			1.04616i
$130$	−2.63932	+	0.606855i	−0.231484	+	0.0532247i
$131$	14.5713	−	7.01715i	1.27310	−	0.613091i	0.329489	−	0.944159i	$-0.393123\pi$
$131$	14.5713	−	7.01715i	1.27310	−	0.613091i	0.943607	+	0.331068i	$0.107409\pi$
$132$	−0.0307378	−	9.59903i	−0.00267539	−	0.835489i
$133$	2.98692	−	17.3569i	0.258999	−	1.50503i
$134$	3.38489	−	14.9404i	0.292410	−	1.29066i
$135$	1.74514	+	0.398317i	0.150198	+	0.0342816i
$136$	−10.0823	−	12.5190i	−0.864552	−	1.07350i
$137$	−14.2547	+	6.86471i	−1.21786	+	0.586492i	−0.928716	−	0.370793i	$-0.879086\pi$
$137$	−14.2547	+	6.86471i	−1.21786	+	0.586492i	−0.289147	+	0.957285i	$0.593372\pi$
$138$	−0.507871	−	0.243577i	−0.0432329	−	0.0207346i
$139$	10.1118	+	4.86958i	0.857671	+	0.413033i	0.810419	−	0.585850i	$-0.199239\pi$
$139$	10.1118	+	4.86958i	0.857671	+	0.413033i	0.0472518	+	0.998883i	$0.484954\pi$
$140$	4.59070	+	8.28505i	0.387985	+	0.700215i
$141$	1.51416	−	0.729180i	0.127515	−	0.0614080i
$142$	−2.34152	+	0.00374898i	−0.196496	+	0.000314607i
$143$	1.14255	+	5.00586i	0.0955452	+	0.418611i
$144$	−0.865091	+	3.90533i	−0.0720909	+	0.325444i
$145$	−8.88238	−	7.08346i	−0.737642	−	0.588250i
$146$	−12.8474	+	6.21235i	−1.06326	+	0.514137i
$147$	4.92872	+	4.97069i	0.406514	+	0.409975i
$148$	0.511221	−	0.645279i	0.0420221	−	0.0530416i
$149$	8.30936	−	10.4196i	0.680730	−	0.853608i	−0.314692	−	0.949194i	$-0.601901\pi$
$149$	8.30936	−	10.4196i	0.680730	−	0.853608i	0.995421	+	0.0955861i	$0.0304725\pi$
$150$	−0.00406626	−	2.53969i	−0.000332009	−	0.207365i
$151$	−19.6481	+	4.48454i	−1.59894	+	0.364947i	−0.926822	−	0.375501i	$-0.877471\pi$
$151$	−19.6481	+	4.48454i	−1.59894	+	0.364947i	−0.672114	+	0.740447i	$0.734614\pi$
$152$	14.7765	+	11.6682i	1.19854	+	0.946418i
$153$	−2.46579	−	5.12027i	−0.199348	−	0.413949i
$154$	15.7220	−	8.67858i	1.26691	−	0.699340i
$155$	−1.49616	+	3.10681i	−0.120175	+	0.249545i
$156$	−0.00685141	−	2.13961i	−0.000548552	−	0.171306i
$157$	−5.90200	−	12.2556i	−0.471031	−	0.978105i	−0.992201	−	0.124652i	$-0.960219\pi$
$157$	−5.90200	−	12.2556i	−0.471031	−	0.978105i	0.521170	−	0.853453i	$-0.325496\pi$
$158$	2.38748	−	10.5380i	0.189938	−	0.838356i
$159$	−0.839180	+	3.67669i	−0.0665513	+	0.291580i
$160$	−10.1255	+	0.0810610i	−0.800495	+	0.00640844i
$161$	−0.0568546	−	1.05223i	−0.00448077	−	0.0829273i
$162$	−0.611563	+	1.27514i	−0.0480490	+	0.100185i
$163$	7.11233	+	14.7689i	0.557081	+	1.15679i	0.969340	+	0.245724i	$0.0790256\pi$
$163$	7.11233	+	14.7689i	0.557081	+	1.15679i	−0.412259	+	0.911067i	$0.635260\pi$
$164$	10.1399	−	8.13953i	0.791790	−	0.635590i
$165$	8.59127			0.668829
$166$	−3.80719	−	7.87343i	−0.295495	−	0.611097i
$167$	−3.47935	+	15.2440i	−0.269240	+	1.17962i	0.641659	+	0.766990i	$0.278246\pi$
$167$	−3.47935	+	15.2440i	−0.269240	+	1.17962i	−0.910899	+	0.412629i	$0.864611\pi$
$168$	−7.18526	+	2.09094i	−0.554355	+	0.161319i
$169$	−2.63810	−	11.5583i	−0.202931	−	0.889097i
$170$	11.2335	−	8.98784i	0.861567	−	0.689336i
$171$	4.15039	+	5.20442i	0.317388	+	0.397992i
$172$	−0.0760967	−	23.7640i	−0.00580232	−	1.81199i
$173$	−4.99918	+	1.14103i	−0.380080	+	0.0867509i	−0.408293	−	0.912851i	$-0.633876\pi$
$173$	−4.99918	+	1.14103i	−0.380080	+	0.0867509i	0.0282123	+	0.999602i	$0.491019\pi$
$174$	7.00861	−	5.60756i	0.531321	−	0.425108i
$175$	4.16334	−	2.28949i	0.314719	−	0.173069i
$176$	0.122951	+	19.1978i	0.00926776	+	1.44709i
$177$	8.07357			0.606847
$178$	10.9294	−	5.28491i	0.819196	−	0.396121i
$179$	−10.3661	−	2.36600i	−0.774801	−	0.176843i	−0.183202	−	0.983075i	$-0.558646\pi$
$179$	−10.3661	−	2.36600i	−0.774801	−	0.176843i	−0.591599	+	0.806232i	$0.701503\pi$
$180$	−3.49281	−	0.785453i	−0.260339	−	0.0585442i
$181$	8.54034	−	6.81070i	0.634799	−	0.506235i	−0.252400	−	0.967623i	$-0.581220\pi$
$181$	8.54034	−	6.81070i	0.634799	−	0.506235i	0.887198	+	0.461388i	$0.152648\pi$
$182$	3.50440	−	1.93444i	0.259763	−	0.143390i
$183$	1.90844	+	1.52193i	0.141076	+	0.112504i
$184$	1.01730	+	0.483899i	0.0749961	+	0.0356735i
$185$	0.576062	+	0.459394i	0.0423529	+	0.0337753i
$186$	−2.13270	−	1.69519i	−0.156377	−	0.124298i
$187$	−17.0064	−	21.3253i	−1.24363	−	1.55946i
$188$	−3.02363	+	1.46805i	−0.220521	+	0.107068i
$189$	−2.64190	+	0.142748i	−0.192170	+	0.0103834i
$190$	−10.4855	+	13.1916i	−0.760696	+	0.957021i
$191$	6.25188	−	12.9822i	0.452370	−	0.939357i	−0.542676	−	0.839942i	$-0.682589\pi$
$191$	6.25188	−	12.9822i	0.452370	−	0.939357i	0.995046	−	0.0994144i	$-0.0316969\pi$
$192$	1.70516	−	7.81616i	0.123059	−	0.564083i
$193$	22.8675	+	11.0124i	1.64604	+	0.792689i	0.999557	+	0.0297569i	$0.00947331\pi$
$193$	22.8675	+	11.0124i	1.64604	+	0.792689i	0.646479	+	0.762932i	$0.276241\pi$
$194$	0.889468	−	3.92598i	0.0638600	−	0.281869i
$195$	1.91498			0.137134
$196$	−9.88922	−	9.90976i	−0.706373	−	0.707840i
$197$	13.4307			0.956901			0.478450	−	0.878115i	$-0.341199\pi$
$197$	13.4307			0.956901			0.478450	+	0.878115i	$0.341199\pi$
$198$	−1.49978	+	6.61981i	−0.106585	+	0.470449i
$199$	7.97742	+	3.84172i	0.565505	+	0.272333i	0.694716	−	0.719284i	$-0.255530\pi$
$199$	7.97742	+	3.84172i	0.565505	+	0.272333i	−0.129211	+	0.991617i	$0.541244\pi$
$200$	0.0243975	+	5.07933i	0.00172516	+	0.359163i
$201$	−4.69992	+	9.75948i	−0.331507	+	0.688381i
$202$	−8.19784	+	10.3136i	−0.576798	+	0.725663i
$203$	15.5003	+	6.45897i	1.08791	+	0.453331i
$204$	4.96435	+	10.2247i	0.347574	+	0.715872i
$205$	7.25585	+	9.09855i	0.506771	+	0.635470i
$206$	−11.1230	−	8.84118i	−0.774974	−	0.615994i
$207$	0.311392	+	0.248327i	0.0216433	+	0.0172599i
$208$	0.0274055	+	4.27915i	0.00190023	+	0.296705i
$209$	24.9788	+	19.9200i	1.72782	+	1.37789i
$210$	−1.85080	−	6.43683i	−0.127718	−	0.444184i
$211$	6.89102	−	5.49541i	0.474398	−	0.378319i	−0.356904	−	0.934141i	$-0.616168\pi$
$211$	6.89102	−	5.49541i	0.474398	−	0.378319i	0.831302	+	0.555822i	$0.187596\pi$
$212$	1.65481	−	7.35872i	0.113653	−	0.505399i
$213$	1.61420	+	0.368430i	0.110603	+	0.0252444i
$214$	16.1920	−	7.82963i	1.10686	−	0.535223i
$215$	21.2691			1.45054
$216$	1.21495	−	2.55419i	0.0826672	−	0.173791i
$217$	0.864394	−	5.02296i	0.0586789	−	0.340981i
$218$	−2.90724	+	2.32607i	−0.196903	+	0.157541i
$219$	9.83782	−	2.24542i	0.664778	−	0.151731i
$220$	−17.1824	+	0.0550213i	−1.15844	+	0.00370954i
$221$	−3.79069	−	4.75338i	−0.254990	−	0.319747i
$222$	−0.454540	+	0.363675i	−0.0305067	+	0.0244083i
$223$	5.11270	+	22.4002i	0.342372	+	1.50003i	0.794053	+	0.607848i	$0.207967\pi$
$223$	5.11270	+	22.4002i	0.342372	+	1.50003i	−0.451682	+	0.892179i	$0.649176\pi$
$224$	14.3571	−	4.22787i	0.959271	−	0.282486i
$225$	−0.399611	+	1.75081i	−0.0266407	+	0.116721i
$226$	4.30377	+	8.90038i	0.286282	+	0.592045i
$227$	−11.4744			−0.761584			−0.380792	−	0.924661i	$-0.624349\pi$
$227$	−11.4744			−0.761584			−0.380792	+	0.924661i	$0.624349\pi$
$228$	−8.33406	−	10.3822i	−0.551937	−	0.687579i
$229$	5.55202	+	11.5289i	0.366888	+	0.761850i	0.999925	−	0.0122712i	$-0.00390614\pi$
$229$	5.55202	+	11.5289i	0.366888	+	0.761850i	−0.633037	+	0.774122i	$0.718192\pi$
$230$	−0.436007	+	0.909098i	−0.0287495	+	0.0599442i
$231$	−12.2095	+	3.48949i	−0.803328	+	0.229592i
$232$	−13.9812	+	11.2599i	−0.917912	+	0.739251i
$233$	−0.736023	+	3.22473i	−0.0482185	+	0.211259i	−0.993298	−	0.115582i	$-0.963127\pi$
$233$	−0.736023	+	3.22473i	−0.0482185	+	0.211259i	0.945080	+	0.326840i	$0.105984\pi$
$234$	−0.334298	+	1.47554i	−0.0218538	+	0.0964592i
$235$	−1.30524	−	2.71037i	−0.0851448	−	0.176805i
$236$	−16.1471	+	0.0517058i	−1.05108	+	0.00336576i
$237$	−3.31501	+	6.88369i	−0.215333	+	0.447144i
$238$	−12.3139	+	17.3358i	−0.798193	+	1.12371i
$239$	−9.77605	−	20.3002i	−0.632360	−	1.31311i	−0.933174	−	0.359426i	$-0.882973\pi$
$239$	−9.77605	−	20.3002i	−0.632360	−	1.31311i	0.300814	−	0.953683i	$-0.402742\pi$
$240$	6.99062	+	1.54853i	0.451242	+	0.0999570i
$241$	0.985286	−	0.224885i	0.0634678	−	0.0144861i	−0.190669	−	0.981654i	$-0.561066\pi$
$241$	0.985286	−	0.224885i	0.0634678	−	0.0144861i	0.254137	+	0.967168i	$0.418209\pi$
$242$	0.0272519	+	17.0209i	0.00175182	+	1.09414i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	−3.82661	−	3.03162i	−0.244974	−	0.194080i
$245$	8.89762	−	8.82249i	0.568448	−	0.563648i
$246$	−8.27734	+	4.00250i	−0.527744	+	0.255190i
$247$	5.56774	+	4.44012i	0.354267	+	0.282518i
$248$	4.27623	+	3.37671i	0.271541	+	0.214421i
$249$	1.37609	+	6.02903i	0.0872059	+	0.382074i
$250$	−17.2034	+	0.0275442i	−1.08804	+	0.00174205i
$251$	25.4529	−	12.2575i	1.60657	−	0.773686i	0.606799	−	0.794855i	$-0.292453\pi$
$251$	25.4529	−	12.2575i	1.60657	−	0.773686i	0.999776	+	0.0211698i	$0.00673905\pi$
$252$	5.28285	−	0.302415i	0.332789	−	0.0190503i
$253$	1.72228	+	0.829407i	0.108279	+	0.0521444i
$254$	−22.6326	−	10.8547i	−1.42010	−	0.681084i
$255$	−9.16538	+	4.41381i	−0.573958	+	0.276404i
$256$	−3.36025	+	15.6432i	−0.210015	+	0.977698i
$257$	13.1524	+	3.00195i	0.820425	+	0.187257i	0.612077	−	0.790798i	$-0.290334\pi$
$257$	13.1524	+	3.00195i	0.820425	+	0.187257i	0.208348	+	0.978055i	$0.433191\pi$
$258$	−3.71296	+	16.3884i	−0.231159	+	1.02030i
$259$	−1.00527	−	0.418893i	−0.0624642	−	0.0260288i
$260$	−3.82993	+	0.0122641i	−0.237522	+	0.000760590i
$261$	−5.71832	+	2.75380i	−0.353955	+	0.170456i
$262$	22.2903	−	5.12517i	1.37710	−	0.316634i
$263$			28.5282i			1.75912i	0.475784	+	0.879562i	$0.342164\pi$
$263$			28.5282i			1.75912i	−0.475784	+	0.879562i	$0.657836\pi$
$264$	2.95715	−	13.2492i	0.182000	−	0.815429i
$265$	6.58134	+	1.50215i	0.404289	+	0.0922762i
$266$	9.54347	−	23.0062i	0.585148	−	1.41060i
$267$	−8.36914	+	1.91020i	−0.512183	+	0.116902i
$268$	9.33729	−	19.5490i	0.570366	−	1.19414i
$269$	−21.7823	+	17.3708i	−1.32809	+	1.05912i	−0.334946	+	0.942237i	$0.608718\pi$
$269$	−21.7823	+	17.3708i	−1.32809	+	1.05912i	−0.993146	+	0.116881i	$0.962710\pi$
$270$	2.28253	+	1.09471i	0.138910	+	0.0666219i
$271$	−6.81985	−	29.8797i	−0.414276	−	1.81506i	−0.563328	−	0.826234i	$-0.690479\pi$
$271$	−6.81985	−	29.8797i	−0.414276	−	1.81506i	0.149051	−	0.988829i	$-0.452378\pi$
$272$	−9.99414	−	20.4175i	−0.605983	−	1.23799i
$273$	−2.72148	+	0.777801i	−0.164712	+	0.0470747i
$274$	−21.8061	+	5.01383i	−1.31735	+	0.302897i
$275$			8.61918i			0.519756i
$276$	−0.624372	−	0.494657i	−0.0375827	−	0.0297749i
$277$	5.99517	−	26.2666i	0.360215	−	1.57820i	−0.392433	−	0.919781i	$-0.628366\pi$
$277$	5.99517	−	26.2666i	0.360215	−	1.57820i	0.752647	−	0.658424i	$-0.228776\pi$
$278$	12.4251	+	9.87619i	0.745208	+	0.592334i
$279$	1.20109	+	1.50613i	0.0719077	+	0.0901694i
$280$	3.74281	+	12.8617i	0.223676	+	0.768637i
$281$	−7.30694	+	9.16261i	−0.435896	+	0.546596i	−0.950456	−	0.310858i	$-0.899384\pi$
$281$	−7.30694	+	9.16261i	−0.435896	+	0.546596i	0.514561	+	0.857454i	$0.327955\pi$
$282$	2.31627	−	0.532577i	0.137932	−	0.0317145i
$283$	2.23601	−	2.80387i	0.132917	−	0.166673i	−0.710919	−	0.703274i	$-0.751721\pi$
$283$	2.23601	−	2.80387i	0.132917	−	0.166673i	0.843836	+	0.536601i	$0.180292\pi$
$284$	−3.23073	−	0.726518i	−0.191709	−	0.0431109i
$285$	9.31601	−	7.42927i	0.551833	−	0.440072i
$286$	0.0116261	+	7.26140i	0.000687467	+	0.429376i
$287$	−14.0072	−	9.98337i	−0.826821	−	0.589300i
$288$	−2.41354	+	5.11613i	−0.142219	+	0.301471i
$289$	13.7824	+	6.63726i	0.810730	+	0.390427i
$290$	−10.0376	−	12.5455i	−0.589430	−	0.736699i
$291$	−1.23502	+	2.56455i	−0.0723984	+	0.150337i
$292$	−19.6612	+	4.55382i	−1.15058	+	0.266492i
$293$			32.4844i			1.89776i	0.315638	+	0.948880i	$0.397781\pi$
$293$			32.4844i			1.89776i	−0.315638	+	0.948880i	$0.602219\pi$
$294$	5.24471	+	8.39601i	0.305878	+	0.489665i
$295$		−	14.4518i		−	0.841418i
$296$	0.906745	−	0.730258i	0.0527035	−	0.0424454i
$297$	2.08244	−	4.32424i	0.120836	−	0.250918i
$298$	14.7167	−	11.7748i	0.852517	−	0.682095i
$299$	0.383893	+	0.184873i	0.0222011	+	0.0106915i
$300$	0.788005	−	3.50416i	0.0454955	−	0.202313i
$301$	−30.2267	+	8.63882i	−1.74224	+	0.497933i
$302$	−28.5011	+	0.0456327i	−1.64005	+	0.00262587i
$303$	7.28353	−	5.80842i	0.418428	−	0.333685i
$304$	16.7345	+	20.7109i	0.959791	+	1.18785i
$305$	2.72428	−	3.41614i	0.155992	−	0.195608i
$306$	−1.80096	−	7.83270i	−0.102954	−	0.447766i
$307$	−0.0712122	+	0.0892972i	−0.00406429	+	0.00509646i	−0.783859	−	0.620938i	$-0.786752\pi$
$307$	−0.0712122	+	0.0892972i	−0.00406429	+	0.00509646i	0.779795	+	0.626035i	$0.215323\pi$
$308$	24.3966	−	7.05714i	1.39012	−	0.402118i
$309$	6.26424	+	7.85511i	0.356360	+	0.446861i
$310$	−3.03442	+	3.81757i	−0.172344	+	0.216823i
$311$	1.50947	−	6.61341i	0.0855941	−	0.375012i	−0.913930	−	0.405873i	$-0.866968\pi$
$311$	1.50947	−	6.61341i	0.0855941	−	0.375012i	0.999524	+	0.0308604i	$0.00982474\pi$
$312$	0.659143	−	2.95321i	0.0373166	−	0.167193i
$313$			3.21378i			0.181654i	0.995867	+	0.0908269i	$0.0289510\pi$
$313$			3.21378i			0.181654i	−0.995867	+	0.0908269i	$0.971049\pi$
$314$	−4.31069	−	18.7479i	−0.243266	−	1.05801i
$315$	0.255522	+	4.72904i	0.0143970	+	0.266451i
$316$	6.58590	−	13.7885i	0.370486	−	0.775666i
$317$	−3.09586	−	13.5638i	−0.173881	−	0.761821i	−0.984376	−	0.176077i	$-0.943659\pi$
$317$	−3.09586	−	13.5638i	−0.173881	−	0.761821i	0.810496	−	0.585745i	$-0.199198\pi$
$318$	−2.30635	+	4.80887i	−0.129334	+	0.269668i
$319$	−23.8162	+	18.9928i	−1.33345	+	1.06339i
$320$	−13.9911	−	3.05227i	−0.782125	−	0.170627i
$321$	−12.3989	+	2.82998i	−0.692041	+	0.157954i
$322$	0.250388	−	1.46906i	0.0139536	−	0.0818677i
$323$	−36.8820	−	8.41809i	−2.05217	−	0.468395i
$324$	−1.24197	+	1.56765i	−0.0689981	+	0.0870916i
$325$			1.92120i			0.106569i
$326$	5.19469	+	22.5926i	0.287707	+	1.25129i
$327$	2.37202	−	1.14230i	0.131173	−	0.0631695i
$328$	16.5290	−	8.05796i	0.912659	−	0.444927i
$329$	2.95582	+	3.32171i	0.162960	+	0.183132i
$330$	11.8496	+	2.68464i	0.652298	+	0.147784i
$331$	−11.0439	−	2.52069i	−0.607025	−	0.138549i	−0.0920496	−	0.995754i	$-0.529342\pi$
$331$	−11.0439	−	2.52069i	−0.607025	−	0.138549i	−0.514975	+	0.857205i	$0.672199\pi$
$332$	−2.79077	−	12.0492i	−0.153163	−	0.661285i
$333$	0.370859	−	0.178596i	0.0203229	−	0.00978701i
$334$	−9.56244	+	19.9382i	−0.523234	+	1.09097i
$335$	17.4697	+	8.41294i	0.954469	+	0.459648i
$336$	−10.5637	+	0.638659i	−0.576298	+	0.0348417i
$337$	−1.21230	+	0.583811i	−0.0660379	+	0.0318022i	−0.466611	−	0.884463i	$-0.654525\pi$
$337$	−1.21230	+	0.583811i	−0.0660379	+	0.0318022i	0.400573	+	0.916265i	$0.368811\pi$
$338$	−0.0268441	−	16.7662i	−0.00146013	−	0.911961i
$339$	−1.55557	−	6.81541i	−0.0844871	−	0.370162i
$340$	18.3024	−	8.88628i	0.992587	−	0.481926i
$341$	7.22871	+	5.76470i	0.391457	+	0.312176i
$342$	4.09816	+	8.47517i	0.221603	+	0.458285i
$343$	−9.06150	+	16.1521i	−0.489275	+	0.872129i
$344$	7.32092	−	32.8005i	0.394718	−	1.76848i
$345$	0.444510	−	0.557398i	0.0239316	−	0.0300093i
$346$	−7.25171	+	0.0116106i	−0.389854	+	0.000624191i
$347$	1.89840	−	0.433299i	0.101912	−	0.0232607i	−0.171261	−	0.985226i	$-0.554784\pi$
$347$	1.89840	−	0.433299i	0.101912	−	0.0232607i	0.273173	+	0.961965i	$0.411927\pi$
$348$	11.4190	−	5.54419i	0.612120	−	0.297200i
$349$	13.2913	+	27.5998i	0.711469	+	1.47738i	0.871565	+	0.490280i	$0.163105\pi$
$349$	13.2913	+	27.5998i	0.711469	+	1.47738i	−0.160096	+	0.987102i	$0.551180\pi$
$350$	6.45775	−	1.85682i	0.345181	−	0.0992511i
$351$	0.464173	−	0.963864i	0.0247757	−	0.0514473i
$352$	−5.82942	+	26.5171i	−0.310709	+	1.41337i
$353$	−4.70507	−	9.77017i	−0.250426	−	0.520014i	0.737423	−	0.675431i	$-0.236042\pi$
$353$	−4.70507	−	9.77017i	−0.250426	−	0.520014i	−0.987849	+	0.155417i	$0.950328\pi$
$354$	11.1355	+	2.52286i	0.591847	+	0.134089i
$355$	0.659496	−	2.88944i	0.0350024	−	0.153356i
$356$	16.7260	−	3.87398i	0.886474	−	0.205321i
$357$	11.2327	−	9.99540i	0.594497	−	0.529012i
$358$	−13.5582	−	6.50258i	−0.716575	−	0.343672i
$359$	6.10659	+	12.6805i	0.322293	+	0.669249i	0.997670	−	0.0682240i	$-0.0217332\pi$
$359$	6.10659	+	12.6805i	0.322293	+	0.669249i	−0.675377	+	0.737473i	$0.736019\pi$
$360$	−4.57205	−	2.17479i	−0.240968	−	0.114622i
$361$	25.3117			1.33220
$362$	13.9076	−	6.72499i	0.730966	−	0.353457i
$363$	2.67817	−	11.7338i	0.140568	−	0.615867i
$364$	5.43795	−	1.57302i	0.285026	−	0.0824488i
$365$	−4.01934	−	17.6099i	−0.210382	−	0.921743i
$366$	2.15665	+	2.69549i	0.112730	+	0.140896i
$367$	10.2539	+	12.8580i	0.535251	+	0.671184i	0.973769	−	0.227539i	$-0.0730679\pi$
$367$	10.2539	+	12.8580i	0.535251	+	0.671184i	−0.438518	+	0.898722i	$0.644496\pi$
$368$	1.25190	+	0.985311i	0.0652600	+	0.0513629i
$369$	6.33832	−	1.44668i	0.329960	−	0.0753112i
$370$	0.650985	+	0.813634i	0.0338431	+	0.0422988i
$371$	−9.96324	+	0.538338i	−0.517265	+	0.0279491i
$372$	−2.41182	−	3.00454i	−0.125047	−	0.155778i
$373$	−0.0878200			−0.00454715			−0.00227357	−	0.999997i	$-0.500724\pi$
$373$	−0.0878200			−0.00454715			−0.00227357	+	0.999997i	$0.500724\pi$
$374$	−16.7924	−	34.7274i	−0.868313	−	1.79571i
$375$	11.8597	+	2.70689i	0.612431	+	0.139783i
$376$	−4.62911	+	1.07998i	−0.238728	+	0.0556959i
$377$	−5.30858	+	4.23345i	−0.273406	+	0.218034i
$378$	−3.68847	−	0.628665i	−0.189714	−	0.0323350i
$379$	16.2691	+	12.9742i	0.835688	+	0.666439i	0.944821	−	0.327588i	$-0.106236\pi$
$379$	16.2691	+	12.9742i	0.835688	+	0.666439i	−0.109133	+	0.994027i	$0.534807\pi$
$380$	−18.5843	+	14.9181i	−0.953357	+	0.765284i
$381$	13.8768	+	11.0664i	0.710929	+	0.566947i
$382$	12.6797	−	15.9521i	0.648749	−	0.816183i
$383$	−1.24006	−	1.55499i	−0.0633644	−	0.0794564i	0.749139	−	0.662413i	$-0.230467\pi$
$383$	−1.24006	−	1.55499i	−0.0633644	−	0.0794564i	−0.812504	+	0.582956i	$0.801896\pi$
$384$	4.79429	−	10.2477i	0.244657	−	0.522949i
$385$	6.24625	+	21.8553i	0.318339	+	1.11385i
$386$	28.0989	+	22.3346i	1.43020	+	1.13680i
$387$	5.15543	−	10.7054i	0.262065	−	0.544185i
$388$	2.45361	−	5.13699i	0.124563	−	0.260791i
$389$	−25.8295	−	12.4388i	−1.30961	−	0.630674i	−0.356782	−	0.934188i	$-0.616126\pi$
$389$	−25.8295	−	12.4388i	−1.30961	−	0.630674i	−0.952827	+	0.303514i	$0.901840\pi$
$390$	2.64125	+	0.598400i	0.133745	+	0.0303012i
$391$	−2.26349			−0.114469
$392$	−10.5431	−	16.7583i	−0.532509	−	0.846424i
$393$	−16.1729			−0.815813
$394$	18.5245	+	4.19690i	0.933249	+	0.211437i
$395$	12.3219	+	5.93393i	0.619984	+	0.298568i
$396$	−4.13717	+	8.66177i	−0.207901	+	0.435270i
$397$	13.3410	−	27.7029i	0.669566	−	1.39037i	−0.238335	−	0.971183i	$-0.576602\pi$
$397$	13.3410	−	27.7029i	0.669566	−	1.39037i	0.907901	−	0.419185i	$-0.137684\pi$
$398$	9.80245	+	7.79155i	0.491352	+	0.390555i
$399$	−10.2220	+	14.3420i	−0.511739	+	0.717998i
$400$	−1.55356	+	7.01333i	−0.0776780	+	0.350667i
$401$	−11.4301	−	14.3329i	−0.570793	−	0.715752i	0.409719	−	0.912212i	$-0.365627\pi$
$401$	−11.4301	−	14.3329i	−0.570793	−	0.715752i	−0.980512	+	0.196460i	$0.937055\pi$
$402$	−9.53209	+	11.9922i	−0.475417	+	0.598116i
$403$	1.61127	+	1.28494i	0.0802629	+	0.0640075i
$404$	−14.5298	+	11.6634i	−0.722884	+	0.580277i
$405$	−1.39949	−	1.11606i	−0.0695413	−	0.0554574i
$406$	19.3606	+	13.7522i	0.960852	+	0.682510i
$407$	1.54459	−	1.23177i	0.0765622	−	0.0610563i
$408$	3.65207	+	15.6538i	0.180804	+	0.774978i
$409$	22.6171	+	5.16220i	1.11834	+	0.255254i	0.741453	−	0.671004i	$-0.234137\pi$
$409$	22.6171	+	5.16220i	1.11834	+	0.255254i	0.376889	+	0.926259i	$0.376994\pi$
$410$	7.16454	+	14.8166i	0.353831	+	0.731739i
$411$	15.8215			0.780419
$412$	−12.5787	−	15.6700i	−0.619709	−	0.772006i
$413$	5.86986	+	20.5383i	0.288837	+	1.01062i
$414$	0.351892	+	0.439812i	0.0172945	+	0.0216156i
$415$	10.7921	−	2.46322i	0.529762	−	0.120915i
$416$	−1.29937	+	5.91061i	−0.0637067	+	0.289792i
$417$	−6.99758	−	8.77468i	−0.342673	−	0.429698i
$418$	28.2276	+	35.2803i	1.38066	+	1.72561i
$419$	−0.430596	−	1.88657i	−0.0210360	−	0.0921648i	0.963320	−	0.268355i	$-0.0864799\pi$
$419$	−0.430596	−	1.88657i	−0.0210360	−	0.0921648i	−0.984356	+	0.176190i	$0.943623\pi$
$420$	−0.541328	−	9.45640i	−0.0264141	−	0.461425i
$421$	−7.13668	+	31.2678i	−0.347821	+	1.52390i	0.434296	+	0.900770i	$0.356997\pi$
$421$	−7.13668	+	31.2678i	−0.347821	+	1.52390i	−0.782117	+	0.623132i	$0.785860\pi$
$422$	11.2217	−	5.42625i	0.546265	−	0.264146i
$423$	−1.68059			−0.0817130
$424$	4.58189	−	9.63247i	0.222516	−	0.467794i
$425$	−4.42816	−	9.19516i	−0.214797	−	0.446031i
$426$	2.11126	+	1.01257i	0.102291	+	0.0490592i
$427$	−2.48411	+	5.96139i	−0.120214	+	0.288492i
$428$	24.7796	−	5.73933i	1.19777	−	0.277421i
$429$	1.14255	−	5.00586i	0.0551630	−	0.241685i
$430$	29.3356	+	6.64626i	1.41469	+	0.320511i
$431$	−8.45513	−	17.5573i	−0.407269	−	0.845703i	−0.999211	−	0.0397224i	$-0.987353\pi$
$431$	−8.45513	−	17.5573i	−0.407269	−	0.845703i	0.591942	−	0.805981i	$-0.298362\pi$
$432$	2.47388	−	3.14323i	0.119025	−	0.151229i
$433$	0.398806	−	0.828130i	0.0191654	−	0.0397974i	−0.891166	−	0.453677i	$-0.850112\pi$
$433$	0.398806	−	0.828130i	0.0191654	−	0.0397974i	0.910332	+	0.413879i	$0.135826\pi$
$434$	2.76182	−	6.65785i	0.132572	−	0.319587i
$435$	4.92935	+	10.2359i	0.236344	+	0.490774i
$436$	−4.73669	+	2.29979i	−0.226847	+	0.110140i
$437$	2.58480	−	0.589963i	0.123648	−	0.0282218i
$438$	14.2706	−	0.0228484i	0.681873	−	0.00109174i
$439$	−9.73127	+	12.2026i	−0.464448	+	0.582400i	−0.957802	−	0.287429i	$-0.907199\pi$
$439$	−9.73127	+	12.2026i	−0.464448	+	0.582400i	0.493354	+	0.869829i	$0.335771\pi$
$440$	−23.7162	−	5.29335i	−1.13063	−	0.252351i
$441$	−2.28392	−	6.61693i	−0.108758	−	0.315092i
$442$	−3.74299	−	7.74067i	−0.178036	−	0.368186i
$443$	−2.24548	−	1.79071i	−0.106686	−	0.0850792i	0.568694	−	0.822549i	$-0.307449\pi$
$443$	−2.24548	−	1.79071i	−0.106686	−	0.0850792i	−0.675380	+	0.737470i	$0.736020\pi$
$444$	−0.740570	+	0.359566i	−0.0351459	+	0.0170642i
$445$	3.41930	+	14.9809i	0.162090	+	0.710163i
$446$	0.0520246	+	32.4933i	0.00246343	+	1.53860i
$447$	−12.0074	+	5.78245i	−0.567930	+	0.273500i
$448$	21.1232	−	1.34497i	0.997979	−	0.0635437i
$449$	−3.97767	−	1.91555i	−0.187718	−	0.0904003i	0.337664	−	0.941267i	$-0.390363\pi$
$449$	−3.97767	−	1.91555i	−0.187718	−	0.0904003i	−0.525382	+	0.850866i	$0.676078\pi$
$450$	−1.09827	+	2.28995i	−0.0517728	+	0.107949i
$451$	28.1133	−	13.5386i	1.32380	−	0.637509i
$452$	3.15478	+	13.6208i	0.148388	+	0.640668i
$453$	19.6481	+	4.48454i	0.923146	+	0.210702i
$454$	−15.8262	−	3.58557i	−0.742760	−	0.168279i
$455$	1.39228	+	4.87150i	0.0652710	+	0.228379i
$456$	−8.25055	−	16.9240i	−0.386367	−	0.792539i
$457$	−26.0201	+	12.5306i	−1.21717	+	0.586157i	−0.928521	−	0.371279i	$-0.878919\pi$
$457$	−26.0201	+	12.5306i	−1.21717	+	0.586157i	−0.288646	+	0.957436i	$0.593205\pi$
$458$	4.05507	+	17.6362i	0.189481	+	0.824087i
$459$			5.68307i			0.265263i
$460$	−0.885445	+	1.11764i	−0.0412841	+	0.0521101i
$461$	−32.4732	−	7.41179i	−1.51243	−	0.345201i	−0.615769	−	0.787927i	$-0.711154\pi$
$461$	−32.4732	−	7.41179i	−1.51243	−	0.345201i	−0.896657	+	0.442726i	$0.854012\pi$
$462$	−17.9305	+	0.997625i	−0.834203	+	0.0464137i
$463$	−12.1905	+	2.78241i	−0.566542	+	0.129310i	−0.496192	−	0.868213i	$-0.665269\pi$
$463$	−12.1905	+	2.78241i	−0.566542	+	0.129310i	−0.0703502	+	0.997522i	$0.522412\pi$
$464$	−22.8023	+	11.1615i	−1.05857	+	0.518158i
$465$	2.69599	−	2.14998i	0.125024	−	0.0997030i
$466$	−2.02284	+	4.21774i	−0.0937064	+	0.195383i
$467$	−5.07721	−	22.2447i	−0.234945	−	1.02936i	−0.945475	−	0.325696i	$-0.894402\pi$
$467$	−5.07721	−	22.2447i	−0.234945	−	1.02936i	0.710529	−	0.703668i	$-0.248456\pi$
$468$	−0.922168	+	1.93069i	−0.0426272	+	0.0892463i
$469$	−28.2442	−	4.86050i	−1.30419	−	0.224437i
$470$	−0.953322	−	4.14617i	−0.0439735	−	0.191248i
$471$			13.6027i			0.626780i
$472$	−22.2871	−	4.97438i	−1.02585	−	0.228965i
$473$	12.6900	−	55.5986i	0.583488	−	2.55643i
$474$	−6.72330	+	8.45850i	−0.308811	+	0.388512i
$475$	7.45341	+	9.34628i	0.341986	+	0.428837i
$476$	−22.4012	+	20.0626i	−1.02676	+	0.919569i
$477$	2.35133	−	2.94848i	0.107660	−	0.135001i
$478$	−7.14021	−	31.0540i	−0.326586	−	1.42038i
$479$	−4.61901	+	5.79206i	−0.211048	+	0.264646i	−0.876076	−	0.482172i	$-0.839848\pi$
$479$	−4.61901	+	5.79206i	−0.211048	+	0.264646i	0.665028	+	0.746818i	$0.268419\pi$
$480$	9.15797	+	4.32028i	0.418002	+	0.197193i
$481$	0.344285	−	0.274558i	0.0156980	−	0.0125188i
$482$	1.42924	−	0.00228833i	0.0650999	−	0.000104231i
$483$	−0.405321	+	0.972694i	−0.0184427	+	0.0442591i
$484$	−5.28117	+	23.4847i	−0.240053	+	1.06749i
$485$	4.59060	+	2.21072i	0.208448	+	0.100383i
$486$	1.10426	−	0.883517i	0.0500904	−	0.0400771i
$487$	16.6038	−	34.4781i	0.752390	−	1.56235i	−0.0727018	−	0.997354i	$-0.523162\pi$
$487$	16.6038	−	34.4781i	0.752390	−	1.56235i	0.825091	−	0.564999i	$-0.191124\pi$
$488$	−4.33055	−	5.37715i	−0.196035	−	0.243412i
$489$		−	16.3923i		−	0.741283i
$490$	15.0290	−	9.38813i	0.678942	−	0.424113i
$491$		−	26.3636i		−	1.18977i	−0.803809	−	0.594887i	$-0.797197\pi$
$491$		−	26.3636i		−	1.18977i	0.803809	−	0.594887i	$-0.202803\pi$
$492$	−12.6673	+	2.93394i	−0.571086	+	0.132272i
$493$	15.6500	−	32.4976i	0.704842	−	1.46362i
$494$	6.29188	+	7.86390i	0.283085	+	0.353814i
$495$	−7.74046	−	3.72761i	−0.347908	−	0.167544i
$496$	4.84286	+	5.99361i	0.217451	+	0.269121i
$497$	0.236349	+	4.37421i	0.0106017	+	0.196210i
$498$	0.0140025	+	8.74559i	0.000627465	+	0.391899i
$499$	−11.1745	+	8.91138i	−0.500240	+	0.398928i	−0.840843	−	0.541279i	$-0.817940\pi$
$499$	−11.1745	+	8.91138i	−0.500240	+	0.398928i	0.340603	+	0.940207i	$0.389369\pi$
$500$	−23.7366	−	5.33781i	−1.06153	−	0.238714i
$501$	9.74892	−	12.2248i	0.435550	−	0.546162i
$502$	38.9364	−	8.95260i	1.73782	−	0.399574i
$503$	0.975827	−	1.22365i	0.0435100	−	0.0545598i	−0.759600	−	0.650390i	$-0.774605\pi$
$503$	0.975827	−	1.22365i	0.0435100	−	0.0545598i	0.803110	+	0.595830i	$0.203177\pi$
$504$	7.38092	+	1.23370i	0.328772	+	0.0549534i
$505$	−10.3972	−	13.0376i	−0.462668	−	0.580168i
$506$	2.11629	+	1.68215i	0.0940808	+	0.0747808i
$507$	−2.63810	+	11.5583i	−0.117162	+	0.513321i
$508$	−27.8243	−	22.0438i	−1.23450	−	0.978034i
$509$			4.60266i			0.204009i	0.994784	+	0.102005i	$0.0325257\pi$
$509$			4.60266i			0.204009i	−0.994784	+	0.102005i	$0.967474\pi$
$510$	−14.0207	+	3.22375i	−0.620846	+	0.142750i
$511$	12.8647	+	23.3939i	0.569099	+	1.03488i
$512$	−9.52289	+	20.5259i	−0.420856	+	0.907127i
$513$	−1.48126	−	6.48981i	−0.0653991	−	0.286532i
$514$	17.2025	+	8.25038i	0.758770	+	0.363909i
$515$	14.0608	−	11.2131i	0.619592	−	0.494108i
$516$	−10.2423	+	21.4436i	−0.450890	+	0.944004i
$517$	−7.86382	+	1.79487i	−0.345850	+	0.0789381i
$518$	−1.25562	−	0.891892i	−0.0551689	−	0.0391875i
$519$	4.99918	+	1.14103i	0.219439	+	0.0500856i
$520$	−5.28630	−	1.17988i	−0.231820	−	0.0517411i
$521$		−	41.6925i		−	1.82658i	−0.407307	−	0.913291i	$-0.633532\pi$
$521$		−	41.6925i		−	1.82658i	0.407307	−	0.913291i	$-0.366468\pi$
$522$	−8.74756	+	2.01131i	−0.382870	+	0.0880329i
$523$	32.2861	−	15.5482i	1.41177	−	0.679874i	0.436261	−	0.899820i	$-0.356302\pi$
$523$	32.2861	−	15.5482i	1.41177	−	0.679874i	0.975512	+	0.219946i	$0.0705880\pi$
$524$	32.3456	−	0.103576i	1.41302	−	0.00452476i
$525$	−4.74441	+	0.256352i	−0.207063	+	0.0111881i
$526$	−8.91461	+	39.3478i	−0.388695	+	1.71564i
$527$	−10.6734	−	2.43614i	−0.464941	−	0.106120i
$528$	8.21883	−	17.3499i	0.357679	−	0.755059i
$529$	−20.5794	+	9.91050i	−0.894755	+	0.430891i
$530$	8.60797	+	4.12842i	0.373906	+	0.179327i
$531$	−7.27403	−	3.50299i	−0.315666	−	0.152017i
$532$	20.3520	−	28.7493i	0.882371	−	1.24644i
$533$	6.26639	−	3.01774i	0.271428	−	0.130713i
$534$	−12.1401	+	0.0194374i	−0.525354	+	0.000841137i
$535$	5.06571	+	22.1943i	0.219010	+	0.959545i
$536$	18.9873	−	24.0453i	0.820125	−	1.03860i
$537$	8.31299	+	6.62939i	0.358732	+	0.286079i
$538$	−35.4716	+	17.1522i	−1.52929	+	0.739485i
$539$	−17.7538	−	28.5227i	−0.764710	−	1.22856i
$540$	2.80612	+	2.22314i	0.120756	+	0.0956688i
$541$	−4.28558	+	5.37394i	−0.184251	+	0.231044i	−0.865375	−	0.501124i	$-0.832920\pi$
$541$	−4.28558	+	5.37394i	−0.184251	+	0.231044i	0.681124	+	0.732168i	$0.261491\pi$
$542$	−0.0693958	−	43.3429i	−0.00298080	−	1.86174i
$543$	−10.6496	+	2.43071i	−0.457019	+	0.104312i
$544$	−7.40435	−	31.2840i	−0.317459	−	1.34129i
$545$	−2.04474	−	4.24595i	−0.0875872	−	0.181877i
$546$	−3.99668	+	0.222369i	−0.171042	+	0.00951650i
$547$	−1.55296	+	3.22474i	−0.0663996	+	0.137880i	−0.931527	−	0.363672i	$-0.881523\pi$
$547$	−1.55296	+	3.22474i	−0.0663996	+	0.137880i	0.865128	+	0.501552i	$0.167237\pi$
$548$	−31.6429	+	0.101326i	−1.35172	+	0.00432845i
$549$	−1.05910	−	2.19925i	−0.0452015	−	0.0938618i
$550$	−2.69336	+	11.8881i	−0.114845	+	0.506909i
$551$	−9.40132	+	41.1899i	−0.400510	+	1.75475i
$552$	−0.706597	−	0.877366i	−0.0300748	−	0.0373432i
$553$	−19.9216	−	3.42827i	−0.847151	−	0.145785i
$554$	16.4768	−	34.3550i	0.700031	−	1.45960i
$555$	−0.319691	−	0.663844i	−0.0135701	−	0.0281786i
$556$	14.0513	+	17.5045i	0.595907	+	0.742355i
$557$	−2.17270			−0.0920604			−0.0460302	−	0.998940i	$-0.514657\pi$
$557$	−2.17270			−0.0920604			−0.0460302	+	0.998940i	$0.514657\pi$
$558$	1.18598	+	2.45266i	0.0502065	+	0.103829i
$559$	2.82858	−	12.3928i	0.119636	−	0.524161i
$560$	1.14321	+	18.9092i	0.0483095	+	0.799061i
$561$	6.06951	+	26.5923i	0.256255	+	1.12273i
$562$	−12.9413	+	10.3543i	−0.545897	+	0.436770i
$563$	−4.98616	−	6.25244i	−0.210142	−	0.263509i	0.665579	−	0.746327i	$-0.268185\pi$
$563$	−4.98616	−	6.25244i	−0.210142	−	0.263509i	−0.875721	+	0.482818i	$0.839613\pi$
$564$	3.36116	−	0.0107630i	0.141530	−	0.000453206i
$565$	−12.1997	+	2.78450i	−0.513246	+	0.117145i
$566$	3.96020	−	3.16854i	0.166460	−	0.133184i
$567$	2.44220	+	1.01766i	0.102563	+	0.0427379i
$568$	−4.22899	−	2.01161i	−0.177445	−	0.0844052i
$569$	17.0586			0.715134			0.357567	−	0.933888i	$-0.383606\pi$
$569$	17.0586			0.715134			0.357567	+	0.933888i	$0.383606\pi$
$570$	15.1707	−	7.33578i	0.635431	−	0.307262i
$571$	−1.63790	−	0.373841i	−0.0685442	−	0.0156448i	0.188111	−	0.982148i	$-0.439763\pi$
$571$	−1.63790	−	0.373841i	−0.0685442	−	0.0156448i	−0.256655	+	0.966503i	$0.582621\pi$
$572$	−2.25304	+	10.0190i	−0.0942042	+	0.418915i
$573$	−11.2655	+	8.98394i	−0.470623	+	0.375309i
$574$	−16.1999	−	18.1467i	−0.676173	−	0.757428i
$575$	0.559209	+	0.445954i	0.0233206	+	0.0185976i
$576$	−4.92760	+	6.30228i	−0.205317	+	0.262595i
$577$	−25.9084	−	20.6613i	−1.07858	−	0.860141i	−0.0878723	−	0.996132i	$-0.528007\pi$
$577$	−25.9084	−	20.6613i	−1.07858	−	0.860141i	−0.990710	+	0.135991i	$0.956578\pi$
$578$	16.9355	+	13.4613i	0.704422	+	0.559915i
$579$	−15.8248	−	19.8436i	−0.657655	−	0.824673i
$580$	−9.92420	−	20.4401i	−0.412080	−	0.848730i
$581$	−14.3367	+	7.88401i	−0.594788	+	0.327084i
$582$	−2.50480	+	3.15126i	−0.103827	+	0.130624i
$583$	7.85340	−	16.3077i	0.325254	−	0.675398i
$584$	−28.5408	+	0.137090i	−1.18103	+	0.00567282i
$585$	−1.72533	−	0.830877i	−0.0713338	−	0.0343526i
$586$	−10.1509	+	44.8044i	−0.419328	+	1.85085i
$587$	43.8309			1.80910			0.904548	−	0.426373i	$-0.140209\pi$
$587$	43.8309			1.80910			0.904548	+	0.426373i	$0.140209\pi$
$588$	4.61019	+	13.2192i	0.190121	+	0.545149i
$589$	12.8235			0.528384
$590$	4.51597	−	19.9328i	0.185920	−	0.820621i
$591$	−12.1007	−	5.82738i	−0.497756	−	0.239706i
$592$	1.47883	−	0.723871i	0.0607795	−	0.0297509i
$593$	−13.6708	+	28.3877i	−0.561391	+	1.16574i	0.406332	+	0.913726i	$0.366808\pi$
$593$	−13.6708	+	28.3877i	−0.561391	+	1.16574i	−0.967723	+	0.252016i	$0.918907\pi$
$594$	4.22348	−	5.31351i	0.173292	−	0.218016i
$595$	−17.8919	−	20.1067i	−0.733498	−	0.824295i
$596$	23.9776	−	11.6417i	0.982161	−	0.476864i
$597$	−5.52055	−	6.92255i	−0.225941	−	0.283321i
$598$	0.471718	+	0.374949i	0.0192900	+	0.0153328i
$599$	−23.7351	−	18.9281i	−0.969791	−	0.773383i	0.00419481	−	0.999991i	$-0.498665\pi$
$599$	−23.7351	−	18.9281i	−0.969791	−	0.773383i	−0.973986	+	0.226609i	$0.927236\pi$
$600$	2.18186	−	4.58690i	0.0890739	−	0.187260i
$601$	−2.90149	−	2.31386i	−0.118354	−	0.0943845i	0.562524	−	0.826781i	$-0.309830\pi$
$601$	−2.90149	−	2.31386i	−0.118354	−	0.0943845i	−0.680878	+	0.732396i	$0.738402\pi$
$602$	−44.3900	+	2.46979i	−1.80920	+	0.100661i
$603$	8.46896	−	6.75377i	0.344883	−	0.275035i
$604$	−39.3246	−	8.84320i	−1.60010	−	0.359825i
$605$	−21.0038	−	4.79398i	−0.853925	−	0.194903i
$606$	11.8609	−	5.73532i	0.481816	−	0.232982i
$607$	−7.25728			−0.294564			−0.147282	−	0.989095i	$-0.547052\pi$
$607$	−7.25728			−0.294564			−0.147282	+	0.989095i	$0.547052\pi$
$608$	16.6094	+	33.7950i	0.673600	+	1.37057i
$609$	−11.1629	−	12.5447i	−0.452342	−	0.508336i
$610$	4.82498	−	3.86045i	0.195358	−	0.156305i
$611$	−1.75283	+	0.400072i	−0.0709119	+	0.0161852i
$612$	−0.0363963	−	11.3661i	−0.00147123	−	0.459447i
$613$	1.01598	+	1.27400i	0.0410351	+	0.0514564i	0.801926	−	0.597424i	$-0.203809\pi$
$613$	1.01598	+	1.27400i	0.0410351	+	0.0514564i	−0.760890	+	0.648880i	$0.775238\pi$
$614$	−0.126124	+	0.100911i	−0.00508995	+	0.00407245i
$615$	−2.58958	−	11.3457i	−0.104422	−	0.457503i
$616$	35.8544	−	2.11007i	1.44462	−	0.0850172i
$617$	7.52719	−	32.9788i	0.303033	−	1.32768i	−0.562489	−	0.826805i	$-0.690156\pi$
$617$	7.52719	−	32.9788i	0.303033	−	1.32768i	0.865522	−	0.500871i	$-0.166987\pi$
$618$	6.18541	+	12.7917i	0.248814	+	0.514558i
$619$	−22.5205			−0.905173			−0.452587	−	0.891720i	$-0.649499\pi$
$619$	−22.5205			−0.905173			−0.452587	+	0.891720i	$0.649499\pi$
$620$	−5.37819	+	4.31721i	−0.215993	+	0.173383i
$621$	−0.172810	−	0.358843i	−0.00693461	−	0.0143999i
$622$	4.14854	−	8.64992i	0.166341	−	0.346830i
$623$	−10.9441	−	19.9014i	−0.438467	−	0.797333i
$624$	1.83196	−	3.86727i	0.0733371	−	0.154815i
$625$	2.84733	−	12.4750i	0.113893	−	0.498999i
$626$	−1.00426	+	4.43264i	−0.0401382	+	0.177164i
$627$	−13.8622	−	28.7852i	−0.553603	−	1.14957i
$628$	−0.0871162	−	27.2053i	−0.00347632	−	1.08561i
$629$	−1.01498	+	2.10762i	−0.0404697	+	0.0840362i
$630$	−1.12532	+	6.60242i	−0.0448339	+	0.263047i
$631$	12.3271	+	25.5976i	0.490735	+	1.01902i	0.988431	+	0.151671i	$0.0484653\pi$
$631$	12.3271	+	25.5976i	0.490735	+	1.01902i	−0.497696	+	0.867352i	$0.665820\pi$
$632$	13.3924	−	16.9600i	0.532720	−	0.674631i
$633$	−8.59297	+	1.96129i	−0.341540	+	0.0779542i
$634$	−0.0315021	−	19.6754i	−0.00125111	−	0.781412i
$635$	19.8090	−	24.8397i	0.786096	−	0.985734i
$636$	−4.68376	+	5.91198i	−0.185723	+	0.234425i
$637$	−3.95729	−	6.35767i	−0.156793	−	0.251900i
$638$	−38.7836	+	18.7537i	−1.53546	+	0.742468i
$639$	−1.29448	−	1.03232i	−0.0512090	−	0.0408378i
$640$	−18.3435	−	8.58186i	−0.725091	−	0.339228i
$641$	8.71973	+	38.2036i	0.344409	+	1.50895i	0.789658	+	0.613547i	$0.210258\pi$
$641$	8.71973	+	38.2036i	0.344409	+	1.50895i	−0.445250	+	0.895407i	$0.646885\pi$
$642$	−17.9857	+	0.0287966i	−0.709838	+	0.00113651i
$643$	−34.4948	+	16.6118i	−1.36034	+	0.655106i	−0.964713	−	0.263304i	$-0.915188\pi$
$643$	−34.4948	+	16.6118i	−1.36034	+	0.655106i	−0.395629	+	0.918410i	$0.629473\pi$
$644$	0.804409	−	1.94797i	0.0316981	−	0.0767610i
$645$	−19.1628	−	9.22832i	−0.754535	−	0.363365i
$646$	−48.2393	−	23.1358i	−1.89795	−	0.910265i
$647$	−8.89985	+	4.28594i	−0.349889	+	0.168498i	−0.600570	−	0.799572i	$-0.705060\pi$
$647$	−8.89985	+	4.28594i	−0.349889	+	0.168498i	0.250681	+	0.968070i	$0.419345\pi$
$648$	−2.20286	+	1.77410i	−0.0865364	+	0.0696931i
$649$	−37.7779	−	8.62256i	−1.48291	−	0.338465i
$650$	−0.600345	+	2.64983i	−0.0235475	+	0.103935i
$651$	−2.95817	+	4.15048i	−0.115940	+	0.162670i
$652$	0.104981	+	32.7843i	0.00411139	+	1.28393i
$653$	−27.5378	+	13.2615i	−1.07764	+	0.518963i	−0.886561	−	0.462612i	$-0.846912\pi$
$653$	−27.5378	+	13.2615i	−1.07764	+	0.518963i	−0.191077	+	0.981575i	$0.561198\pi$
$654$	3.62858	−	0.834313i	0.141889	−	0.0326242i
$655$			28.9497i			1.13116i
$656$	25.3157	−	5.94897i	0.988412	−	0.232268i
$657$	−9.83782	−	2.24542i	−0.383810	−	0.0876021i
$658$	3.03886	+	5.50514i	0.118467	+	0.214613i
$659$	28.5481	−	6.51591i	1.11207	−	0.253824i	0.373256	−	0.927728i	$-0.378241\pi$
$659$	28.5481	−	6.51591i	1.11207	−	0.253824i	0.738818	+	0.673905i	$0.235384\pi$
$660$	15.5047	+	7.40561i	0.603520	+	0.288263i
$661$	−7.01218	+	5.59203i	−0.272742	+	0.217505i	−0.750303	−	0.661094i	$-0.770092\pi$
$661$	−7.01218	+	5.59203i	−0.272742	+	0.217505i	0.477561	+	0.878599i	$0.341521\pi$
$662$	−14.4447	−	6.92771i	−0.561407	−	0.269253i
$663$	1.35288	+	5.92737i	0.0525416	+	0.230200i
$664$	−0.0840144	−	17.4910i	−0.00326039	−	0.678783i
$665$	25.6725	+	18.2975i	0.995535	+	0.709548i
$666$	0.567319	−	0.130443i	0.0219832	−	0.00505456i
$667$			2.52786i			0.0978792i
$668$	−19.4195	+	24.5118i	−0.751361	+	0.948391i
$669$	5.11270	−	22.4002i	0.197668	−	0.866041i
$670$	21.4663	+	17.0626i	0.829314	+	0.659186i
$671$	−7.30457	−	9.15964i	−0.281990	−	0.353604i
$672$	−14.7697	−	2.42012i	−0.569752	−	0.0933581i
$673$	27.3018	−	34.2354i	1.05241	−	1.31968i	0.106830	−	0.994277i	$-0.465930\pi$
$673$	27.3018	−	34.2354i	1.05241	−	1.31968i	0.945577	−	0.325399i	$-0.105499\pi$
$674$	−1.85450	+	0.426403i	−0.0714327	+	0.0164244i
$675$	1.11968	−	1.40404i	0.0430967	−	0.0540415i
$676$	5.20215	−	23.1333i	0.200083	−	0.889743i
$677$	−18.7724	+	14.9705i	−0.721483	+	0.575363i	−0.913895	−	0.405951i	$-0.866940\pi$
$677$	−18.7724	+	14.9705i	−0.721483	+	0.575363i	0.192412	+	0.981314i	$0.438369\pi$
$678$	−0.0158288	−	9.88630i	−0.000607902	−	0.379681i
$679$	−7.42188	−	1.27722i	−0.284825	−	0.0490152i
$680$	28.0206	−	6.53727i	1.07454	−	0.250693i
$681$	10.3381	+	4.97856i	0.396157	+	0.190779i
$682$	8.16888	+	10.2099i	0.312803	+	0.390956i
$683$	−9.66039	+	20.0600i	−0.369644	+	0.767575i	−0.999962	−	0.00876311i	$-0.997211\pi$
$683$	−9.66039	+	20.0600i	−0.369644	+	0.767575i	0.630317	+	0.776338i	$0.282925\pi$
$684$	3.00406	+	12.9701i	0.114863	+	0.495923i
$685$		−	28.3208i		−	1.08208i
$686$	−17.5454	+	19.4463i	−0.669887	+	0.742463i
$687$		−	12.7961i		−	0.488202i
$688$	20.3471	−	42.9527i	0.775725	−	1.63756i
$689$	1.75051	−	3.63497i	0.0666890	−	0.138481i
$690$	0.787272	−	0.629893i	0.0299709	−	0.0239796i
$691$	20.1382	+	9.69803i	0.766092	+	0.368930i	0.775764	−	0.631023i	$-0.217365\pi$
$691$	20.1382	+	9.69803i	0.766092	+	0.368930i	−0.00967251	+	0.999953i	$0.503079\pi$
$692$	−10.0056	−	2.25003i	−0.380356	−	0.0855333i
$693$	12.5144	+	2.15359i	0.475384	+	0.0818083i
$694$	2.75379	−	0.00440906i	0.104532	−	0.000167365i
$695$	−15.7068	+	12.5258i	−0.595795	+	0.475130i
$696$	17.4822	−	4.07863i	0.662659	−	0.154600i
$697$	−23.0364	+	28.8867i	−0.872565	+	1.09416i
$698$	9.70771	+	42.2205i	0.367442	+	1.59807i
$699$	2.06229	−	2.58603i	0.0780030	−	0.0978127i
$700$	9.48713	−	0.543087i	0.358580	−	0.0205268i
$701$	13.1620	+	16.5046i	0.497122	+	0.623371i	0.965577	−	0.260116i	$-0.0837608\pi$
$701$	13.1620	+	16.5046i	0.497122	+	0.623371i	−0.468455	+	0.883487i	$0.655189\pi$
$702$	0.941406	−	1.18437i	0.0355311	−	0.0447012i
$703$	0.609718	−	2.67135i	0.0229960	−	0.100752i
$704$	−16.3265	+	34.7523i	−0.615326	+	1.30978i
$705$			3.00828i			0.113298i
$706$	−3.43648	−	14.9459i	−0.129334	−	0.562495i
$707$	20.0715	+	14.3055i	0.754866	+	0.538015i
$708$	14.5704	+	6.95936i	0.547590	+	0.261549i
$709$	7.72521	+	33.8464i	0.290126	+	1.27113i	0.884349	+	0.466826i	$0.154603\pi$
$709$	7.72521	+	33.8464i	0.290126	+	1.27113i	−0.594223	+	0.804300i	$0.702540\pi$
$710$	1.81252	−	3.77920i	0.0680226	−	0.141831i
$711$	5.97344	−	4.76366i	0.224022	−	0.178651i
$712$	24.2800	−	0.116624i	0.909931	−	0.00437066i
$713$	0.748023	−	0.170731i	0.0280137	−	0.00639394i
$714$	18.6162	−	10.2762i	0.696693	−	0.384577i
$715$	−8.96057	−	2.04519i	−0.335106	−	0.0764859i
$716$	−16.6684	−	13.2055i	−0.622926	−	0.493512i
$717$			22.5315i			0.841454i
$718$	4.46012	+	19.3978i	0.166450	+	0.723921i
$719$	6.94878	−	3.34636i	0.259146	−	0.124798i	−0.299800	−	0.954002i	$-0.596920\pi$
$719$	6.94878	−	3.34636i	0.259146	−	0.124798i	0.558946	+	0.829204i	$0.311206\pi$
$720$	−5.62645	−	4.42829i	−0.209685	−	0.165033i
$721$	−15.4282	+	21.6466i	−0.574575	+	0.806162i
$722$	34.9114	+	7.90951i	1.29927	+	0.294362i
$723$	−0.985286	−	0.224885i	−0.0366432	−	0.00836356i
$724$	21.2836	−	4.92960i	0.790998	−	0.183207i
$725$	−10.2692	+	4.94537i	−0.381387	+	0.183666i
$726$	7.36053	−	15.3471i	0.273175	−	0.569585i
$727$	23.9353	+	11.5266i	0.887711	+	0.427499i	0.821435	−	0.570302i	$-0.193174\pi$
$727$	23.9353	+	11.5266i	0.887711	+	0.427499i	0.0662759	+	0.997801i	$0.478888\pi$
$728$	7.99189	−	0.470331i	0.296199	−	0.0174316i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−0.0408990	−	25.5445i	−0.00151374	−	0.945446i
$731$	15.0261	+	65.8336i	0.555760	+	2.43494i
$732$	2.13228	+	4.39170i	0.0788115	+	0.162322i
$733$	35.5134	+	28.3210i	1.31172	+	1.04606i	0.995239	+	0.0974605i	$0.0310720\pi$
$733$	35.5134	+	28.3210i	1.31172	+	1.04606i	0.316479	+	0.948600i	$0.397499\pi$
$734$	10.1249	+	20.9387i	0.373717	+	0.772863i
$735$	−11.8444	+	4.08826i	−0.436888	+	0.150798i
$736$	1.41881	+	1.75020i	0.0522979	+	0.0645132i
$737$	32.4150	−	40.6471i	1.19402	−	1.49726i
$738$	9.19424	−	0.0147208i	0.338445	−	0.000541879i
$739$	19.8276	−	4.52553i	0.729372	−	0.166474i	0.158319	−	0.987388i	$-0.449392\pi$
$739$	19.8276	−	4.52553i	0.729372	−	0.166474i	0.571052	+	0.820914i	$0.306535\pi$
$740$	0.643629	+	1.32563i	0.0236603	+	0.0487313i
$741$	−3.08986	−	6.41616i	−0.113509	−	0.235704i
$742$	−13.9101	−	2.37085i	−0.510656	−	0.0870365i
$743$	−7.51060	+	15.5959i	−0.275537	+	0.572159i	−0.992112	−	0.125351i	$-0.959994\pi$
$743$	−7.51060	+	15.5959i	−0.275537	+	0.572159i	0.716575	+	0.697510i	$0.245709\pi$
$744$	−2.38765	−	4.89770i	−0.0875357	−	0.179558i
$745$	10.3507	+	21.4934i	0.379220	+	0.787458i
$746$	−0.121127	−	0.0274424i	−0.00443476	−	0.00100474i
$747$	1.37609	−	6.02903i	0.0503484	−	0.220591i
$748$	−12.3093	−	53.1454i	−0.450071	−	1.94319i
$749$	−16.2138	−	29.4841i	−0.592438	−	1.07732i
$750$	15.5117	+	7.43947i	0.566407	+	0.271651i
$751$	−10.1486	−	21.0739i	−0.370329	−	0.768997i	0.629640	−	0.776887i	$-0.283203\pi$
$751$	−10.1486	−	21.0739i	−0.370329	−	0.768997i	−0.999969	+	0.00789079i	$0.997488\pi$
$752$	−6.72221	+	0.0430519i	−0.245134	+	0.00156994i
$753$	−28.2506			−1.02951
$754$	−8.64479	+	4.18017i	−0.314825	+	0.152233i
$755$	8.02741	−	35.1704i	0.292147	−	1.27998i
$756$	−4.89090	−	2.01968i	−0.177880	−	0.0734550i
$757$	−7.43741	−	32.5854i	−0.270317	−	1.18434i	−0.909640	−	0.415399i	$-0.863642\pi$
$757$	−7.43741	−	32.5854i	−0.270317	−	1.18434i	0.639322	−	0.768939i	$-0.279215\pi$
$758$	18.3851	+	22.9786i	0.667776	+	0.834620i
$759$	−1.19186	−	1.49454i	−0.0432616	−	0.0542484i
$760$	−30.2943	+	14.7686i	−1.09889	+	0.535715i
$761$	−6.62273	+	1.51160i	−0.240074	+	0.0547953i	−0.340865	−	0.940112i	$-0.610720\pi$
$761$	−6.62273	+	1.51160i	−0.240074	+	0.0547953i	0.100791	+	0.994908i	$0.467863\pi$
$762$	15.6816	+	19.5997i	0.568085	+	0.710021i
$763$	4.63047	+	5.20366i	0.167634	+	0.188385i
$764$	22.4734	−	18.0399i	0.813057	−	0.652662i
$765$	10.1728			0.367798
$766$	−1.22446	−	2.53224i	−0.0442415	−	0.0914934i
$767$	−8.42062	−	1.92195i	−0.304051	−	0.0693977i
$768$	9.81480	−	12.6361i	0.354161	−	0.455964i
$769$	1.16672	−	0.930424i	0.0420728	−	0.0335520i	−0.602228	−	0.798324i	$-0.705720\pi$
$769$	1.16672	−	0.930424i	0.0420728	−	0.0335520i	0.644300	+	0.764772i	$0.277149\pi$
$770$	1.78577	+	32.0959i	0.0643545	+	1.15666i
$771$	−10.5474	−	8.41128i	−0.379856	−	0.302925i
$772$	31.7765	+	39.5857i	1.14366	+	1.42472i
$773$	28.9978	+	23.1250i	1.04298	+	0.831747i	0.986020	−	0.166629i	$-0.0532883\pi$
$773$	28.9978	+	23.1250i	1.04298	+	0.831747i	0.0569585	+	0.998377i	$0.481860\pi$
$774$	10.4559	−	13.1545i	0.375831	−	0.472828i
$775$	2.15697	+	2.70475i	0.0774806	+	0.0971576i
$776$	4.98939	−	6.31852i	0.179109	−	0.226822i
$777$	0.723962	+	0.813578i	0.0259720	+	0.0291870i
$778$	−31.7386	−	25.2277i	−1.13789	−	0.904457i
$779$	18.7773	−	38.9916i	0.672768	−	1.39702i
$780$	3.45597	+	1.65070i	0.123744	+	0.0591044i
$781$	−7.15967	−	3.44792i	−0.256193	−	0.123376i
$782$	−3.12193	−	0.707304i	−0.111640	−	0.0252931i
$783$	6.34686			0.226818
$784$	−9.30500	−	26.4087i	−0.332321	−	0.943166i
$785$	24.3491			0.869057
$786$	−22.3066	−	5.05377i	−0.795649	−	0.180262i
$787$	41.4402	+	19.9565i	1.47718	+	0.711374i	0.987071	−	0.160285i	$-0.0512414\pi$
$787$	41.4402	+	19.9565i	1.47718	+	0.711374i	0.490113	+	0.871659i	$0.336956\pi$
$788$	24.2386	+	11.5772i	0.863463	+	0.412421i
$789$	12.3779	−	25.7030i	0.440666	−	0.915052i
$790$	15.1409	+	12.0348i	0.538688	+	0.428180i
$791$	16.2067	−	8.91234i	0.576244	−	0.316886i
$792$	−8.41289	+	10.6540i	−0.298939	+	0.378574i
$793$	−1.62817	−	2.04167i	−0.0578182	−	0.0725017i
$794$	27.0574	−	34.0406i	0.960231	−	1.20805i
$795$	−5.27783	−	4.20893i	−0.187185	−	0.149275i
$796$	11.0854	+	13.8097i	0.392911	+	0.489471i
$797$	0.509165	+	0.406046i	0.0180355	+	0.0143829i	0.632466	−	0.774588i	$-0.282043\pi$
$797$	0.509165	+	0.406046i	0.0180355	+	0.0143829i	−0.614431	+	0.788971i	$0.710614\pi$
$798$	−18.5804	+	16.5871i	−0.657739	+	0.587178i
$799$	7.46720	−	5.95489i	0.264170	−	0.210669i
$800$	−4.33432	+	9.18773i	−0.153241	+	0.324835i
$801$	8.36914	+	1.91020i	0.295709	+	0.0674937i
$802$	−11.2863	−	23.3405i	−0.398532	−	0.824183i
$803$	−48.4313			−1.70910
$804$	−16.8946	+	13.5617i	−0.595826	+	0.478285i
$805$	1.74114	+	0.725532i	0.0613671	+	0.0255716i
$806$	1.82083	+	2.27576i	0.0641359	+	0.0801603i
$807$	27.1621	−	6.19958i	0.956152	−	0.218235i
$808$	−23.6850	+	11.5466i	−0.833234	+	0.406206i
$809$	1.18949	+	1.49157i	0.0418202	+	0.0524408i	0.802302	−	0.596919i	$-0.203609\pi$
$809$	1.18949	+	1.49157i	0.0418202	+	0.0524408i	−0.760482	+	0.649359i	$0.775037\pi$
$810$	−1.58151	−	1.97665i	−0.0555686	−	0.0694525i
$811$	3.94537	+	17.2858i	0.138541	+	0.606987i	0.995756	+	0.0920291i	$0.0293353\pi$
$811$	3.94537	+	17.2858i	0.138541	+	0.606987i	−0.857216	+	0.514958i	$0.827808\pi$
$812$	22.4060	+	25.0177i	0.786295	+	0.877950i
$813$	−6.81985	+	29.8797i	−0.239183	+	1.04793i
$814$	2.51529	−	1.21626i	0.0881608	−	0.0426300i
$815$	−29.3424			−1.02782
$816$	0.145584	+	22.7318i	0.00509647	+	0.795773i
$817$	−34.3182	−	71.2625i	−1.20064	−	2.49316i
$818$	29.5817	+	14.1875i	1.03430	+	0.496054i
$819$	2.78945	+	0.480032i	0.0974711	+	0.0167737i
$820$	5.25180	+	22.6747i	0.183401	+	0.791835i
$821$	−1.68826	+	7.39674i	−0.0589206	+	0.258148i	−0.995806	−	0.0914882i	$-0.970838\pi$
$821$	−1.68826	+	7.39674i	−0.0589206	+	0.258148i	0.936886	+	0.349636i	$0.113695\pi$
$822$	21.8220	+	4.94398i	0.761129	+	0.172441i
$823$	−2.09788	−	4.35629i	−0.0731274	−	0.151851i	0.861200	−	0.508266i	$-0.169713\pi$
$823$	−2.09788	−	4.35629i	−0.0731274	−	0.151851i	−0.934328	+	0.356415i	$0.883999\pi$
$824$	−12.4527	−	25.5437i	−0.433809	−	0.889855i
$825$	3.73972	−	7.76562i	0.130200	−	0.270364i
$826$	1.67816	+	30.1619i	0.0583906	+	1.04947i
$827$	4.13521	+	8.58685i	0.143795	+	0.298594i	0.960411	−	0.278588i	$-0.0898665\pi$
$827$	4.13521	+	8.58685i	0.143795	+	0.298594i	−0.816615	+	0.577182i	$0.804152\pi$
$828$	0.347916	+	0.716575i	0.0120909	+	0.0249027i
$829$	−24.2922	+	5.54453i	−0.843703	+	0.192570i	−0.622462	−	0.782650i	$-0.713868\pi$
$829$	−24.2922	+	5.54453i	−0.843703	+	0.192570i	−0.221240	+	0.975219i	$0.571010\pi$
$830$	15.6548	−	0.0250646i	0.543385	−	0.000870006i
$831$	−16.7981	+	21.0641i	−0.582719	+	0.730707i
$832$	−3.63914	+	7.74623i	−0.126164	+	0.268552i
$833$	33.5939	+	21.3077i	1.16396	+	0.738267i
$834$	−6.90952	−	14.2892i	−0.239257	−	0.494794i
$835$	−21.8825	−	17.4507i	−0.757277	−	0.603908i
$836$	27.9086	+	57.4813i	0.965240	+	1.98803i
$837$	−0.428666	−	1.87811i	−0.0148169	−	0.0649169i
$838$	−0.00438156	−	2.73662i	−0.000151358	−	0.0945348i
$839$	−11.4307	+	5.50475i	−0.394633	+	0.190045i	−0.620667	−	0.784074i	$-0.713138\pi$
$839$	−11.4307	+	5.50475i	−0.394633	+	0.190045i	0.226034	+	0.974119i	$0.427424\pi$
$840$	2.20835	−	13.2120i	0.0761952	−	0.455857i
$841$	−10.1653	−	4.89535i	−0.350527	−	0.168805i
$842$	−19.6140	+	40.8963i	−0.675944	+	1.40938i
$843$	10.5588	−	5.08487i	0.363666	−	0.175132i
$844$	17.1733	−	3.97759i	0.591129	−	0.136914i
$845$	20.6895	+	4.72225i	0.711741	+	0.162450i
$846$	−2.31796	−	0.525157i	−0.0796933	−	0.0180553i
$847$	31.7968	−	1.71806i	1.09255	−	0.0590333i
$848$	9.32960	−	11.8539i	0.320380	−	0.407064i
$849$	−3.23113	+	1.55603i	−0.110892	+	0.0534028i
$850$	−3.23423	−	14.0662i	−0.110933	−	0.482468i
$851$		−	0.163943i		−	0.00561990i
$852$	2.59557	+	2.05633i	0.0889227	+	0.0704488i
$853$	12.6447	+	2.88607i	0.432947	+	0.0988173i	0.433440	−	0.901183i	$-0.357300\pi$
$853$	12.6447	+	2.88607i	0.432947	+	0.0988173i	−0.000492844		1.00000i	$0.500157\pi$
$854$	−5.28906	+	7.44605i	−0.180988	+	0.254799i
$855$	−11.6169	+	2.65148i	−0.397289	+	0.0906785i
$856$	35.9710	−	0.172779i	1.22946	−	0.00590547i
$857$	−5.48476	+	4.37395i	−0.187356	+	0.149411i	−0.712676	−	0.701493i	$-0.752517\pi$
$857$	−5.48476	+	4.37395i	−0.187356	+	0.149411i	0.525320	+	0.850905i	$0.323946\pi$
$858$	3.14013	−	6.54734i	0.107202	−	0.223522i
$859$	3.58676	+	15.7146i	0.122379	+	0.536176i	0.998533	+	0.0541454i	$0.0172435\pi$
$859$	3.58676	+	15.7146i	0.122379	+	0.536176i	−0.876154	+	0.482031i	$0.839899\pi$
$860$	38.3845	+	18.3338i	1.30890	+	0.625178i
$861$	8.28846	+	15.0722i	0.282470	+	0.513660i
$862$	−6.17544	−	26.8581i	−0.210336	−	0.914790i
$863$		−	41.6121i		−	1.41649i	−0.705965	−	0.708247i	$-0.749486\pi$
$863$		−	41.6121i		−	1.41649i	0.705965	−	0.708247i	$-0.250514\pi$
$864$	4.39433	−	3.56228i	0.149498	−	0.121191i
$865$	2.04246	−	8.94862i	0.0694458	−	0.304262i
$866$	0.808835	−	1.01758i	0.0274853	−	0.0345789i
$867$	−9.53772	−	11.9599i	−0.323918	−	0.406180i
$868$	5.88973	−	8.31987i	0.199911	−	0.282395i
$869$	22.8634	−	28.6698i	0.775588	−	0.972556i
$870$	3.60029	+	15.6583i	0.122061	+	0.530866i
$871$	7.22524	−	9.06017i	0.244818	−	0.306992i
$872$	−7.25177	+	1.69186i	−0.245576	+	0.0572935i
$873$	2.22544	−	1.77473i	0.0753196	−	0.0600654i
$874$	3.74946	−	0.00600320i	0.126827	−	0.000203061i
$875$	1.73649	+	32.1378i	0.0587039	+	1.08646i
$876$	19.6899	+	4.42781i	0.665261	+	0.149602i
$877$	44.1573	+	21.2650i	1.49108	+	0.718069i	0.989160	−	0.146843i	$-0.0469111\pi$
$877$	44.1573	+	21.2650i	1.49108	+	0.718069i	0.501925	+	0.864911i	$0.332625\pi$
$878$	−17.2351	+	13.7897i	−0.581655	+	0.465380i
$879$	14.0945	−	29.2674i	0.475394	−	0.987166i
$880$	−31.0567	−	14.7118i	−1.04692	−	0.495936i
$881$		−	16.7694i		−	0.564976i	−0.959271	−	0.282488i	$-0.908840\pi$
$881$		−	16.7694i		−	0.564976i	0.959271	−	0.282488i	$-0.0911598\pi$
$882$	−1.08243	−	9.84014i	−0.0364473	−	0.331335i
$883$			15.5225i			0.522375i	0.965288	+	0.261187i	$0.0841141\pi$
$883$			15.5225i			0.522375i	−0.965288	+	0.261187i	$0.915886\pi$
$884$	−2.74371	−	11.8460i	−0.0922810	−	0.398424i
$885$	−6.27042	+	13.0207i	−0.210778	+	0.437684i
$886$	−2.53753	−	3.17153i	−0.0852499	−	0.106550i
$887$	−27.3512	−	13.1717i	−0.918364	−	0.442261i	−0.0858774	−	0.996306i	$-0.527369\pi$
$887$	−27.3512	−	13.1717i	−0.918364	−	0.442261i	−0.832487	+	0.554045i	$0.813084\pi$
$888$	−1.13380	+	0.264518i	−0.0380477	+	0.00887663i
$889$	−18.0626	+	43.3469i	−0.605801	+	1.45381i
$890$	0.0347933	+	21.7310i	0.00116627	+	0.728426i
$891$	−3.75243	+	2.99247i	−0.125711	+	0.100251i
$892$	−10.0819	+	44.8329i	−0.337566	+	1.50112i
$893$	−6.97509	+	8.74649i	−0.233412	+	0.292690i
$894$	−18.3682	+	4.22337i	−0.614325	+	0.141251i
$895$	11.8667	−	14.8804i	0.396661	−	0.497397i
$896$	29.5547	+	4.74562i	0.987353	+	0.158540i
$897$	−0.265662	−	0.333130i	−0.00887021	−	0.0111229i
$898$	−4.88766	−	3.88500i	−0.163103	−	0.129644i
$899$	−2.72068	+	11.9201i	−0.0907398	+	0.397557i
$900$	−2.23037	+	2.81524i	−0.0743455	+	0.0938412i
$901$			21.4322i			0.714012i
$902$	43.0061	−	9.88832i	1.43194	−	0.329245i
$903$	30.9816	+	5.33158i	1.03100	+	0.177424i
$904$	0.0949726	+	19.7724i	0.00315874	+	0.657620i
$905$	4.35101	+	19.0630i	0.144633	+	0.633677i
$906$	25.6984	+	12.3250i	0.853772	+	0.409472i
$907$	−11.3186	+	9.02627i	−0.375827	+	0.299712i	−0.793127	−	0.609057i	$-0.791548\pi$
$907$	−11.3186	+	9.02627i	−0.375827	+	0.299712i	0.417299	+	0.908769i	$0.362977\pi$
$908$	−20.7080	−	9.89087i	−0.687218	−	0.328240i
$909$	−9.08241	+	2.07300i	−0.301245	+	0.0687571i
$910$	0.398044	+	7.15412i	0.0131950	+	0.237157i
$911$	−28.5197	−	6.50944i	−0.944901	−	0.215667i	−0.277803	−	0.960638i	$-0.589606\pi$
$911$	−28.5197	−	6.50944i	−0.944901	−	0.215667i	−0.667097	+	0.744971i	$0.732464\pi$
$912$	−6.09115	−	25.9207i	−0.201698	−	0.858322i
$913$		−	29.6807i		−	0.982289i
$914$	−39.8040	+	9.15208i	−1.31660	+	0.302724i
$915$	−3.93670	+	1.89582i	−0.130143	+	0.0626738i
$916$	0.0819505	+	25.5921i	0.00270772	+	0.845586i
$917$	−11.7584	−	41.1421i	−0.388298	−	1.35863i
$918$	−1.77587	+	7.83843i	−0.0586125	+	0.258707i
$919$	9.31513	+	2.12612i	0.307278	+	0.0701342i	0.373379	−	0.927679i	$-0.378199\pi$
$919$	9.31513	+	2.12612i	0.307278	+	0.0701342i	−0.0661015	+	0.997813i	$0.521056\pi$
$920$	−1.57050	+	1.26482i	−0.0517779	+	0.0416999i
$921$	0.102905	−	0.0495562i	0.00339082	−	0.00163293i
$922$	−42.4728	−	20.3701i	−1.39877	−	0.670854i
$923$	−1.59588	−	0.768534i	−0.0525290	−	0.0252966i
$924$	−25.0425	−	4.22702i	−0.823839	−	0.139059i
$925$	0.666001	−	0.320729i	0.0218980	−	0.0105455i
$926$	−17.6834	+	0.0283126i	−0.581111	+	0.000930409i
$927$	−2.23568	−	9.79516i	−0.0734294	−	0.321715i
$928$	−34.9380	+	8.26918i	−1.14690	+	0.271449i
$929$	21.9312	+	17.4895i	0.719538	+	0.573813i	0.913325	−	0.407231i	$-0.133506\pi$
$929$	21.9312	+	17.4895i	0.719538	+	0.573813i	−0.193787	+	0.981044i	$0.562077\pi$
$930$	4.39030	−	2.12293i	0.143964	−	0.0696135i
$931$	−43.9164	−	15.5763i	−1.43930	−	0.510493i
$932$	−4.10800	+	5.18524i	−0.134562	+	0.169848i
$933$	−4.22944	+	5.30355i	−0.138466	+	0.173630i
$934$	−0.0516635	−	32.2678i	−0.00169048	−	1.05583i
$935$	47.6007	−	10.8645i	1.55671	−	0.355308i
$936$	−1.87522	+	2.37476i	−0.0612934	+	0.0776214i
$937$	0.218099	+	0.452886i	0.00712497	+	0.0147951i	0.904501	−	0.426472i	$-0.140244\pi$
$937$	0.218099	+	0.452886i	0.00712497	+	0.0147951i	−0.897376	+	0.441267i	$0.854529\pi$
$938$	−37.4372	−	15.5297i	−1.22237	−	0.507064i
$939$	1.39441	−	2.89552i	0.0455048	−	0.0944917i
$940$	−0.0192660	−	6.01653i	−0.000628389	−	0.196238i
$941$	0.0403444	+	0.0837760i	0.00131519	+	0.00273102i	0.901625	−	0.432518i	$-0.142375\pi$
$941$	0.0403444	+	0.0837760i	0.00131519	+	0.00273102i	−0.900310	+	0.435249i	$0.856660\pi$
$942$	−4.25063	+	18.7617i	−0.138493	+	0.611288i
$943$	0.576192	−	2.52446i	0.0187634	−	0.0822078i
$944$	−29.1853	−	13.8253i	−0.949900	−	0.449976i
$945$	1.82164	−	4.37159i	0.0592579	−	0.142208i
$946$	34.8765	−	72.7195i	1.13393	−	2.36431i
$947$	19.0424	+	39.5419i	0.618795	+	1.28494i	0.941044	+	0.338285i	$0.109847\pi$
$947$	19.0424	+	39.5419i	0.618795	+	1.28494i	−0.322249	+	0.946655i	$0.604439\pi$
$948$	−11.9163	+	9.56553i	−0.387024	+	0.310674i
$949$	−10.7952			−0.350428
$950$	7.35961	+	15.2200i	0.238777	+	0.493802i
$951$	−3.09586	+	13.5638i	−0.100390	+	0.439838i
$952$	−37.1664	+	20.6715i	−1.20457	+	0.669967i
$953$	5.15676	+	22.5932i	0.167044	+	0.731866i	0.987169	+	0.159682i	$0.0510468\pi$
$953$	5.15676	+	22.5932i	0.167044	+	0.731866i	−0.820125	+	0.572185i	$0.806096\pi$
$954$	4.16445	−	3.33196i	0.134829	−	0.107876i
$955$	16.0814	+	20.1655i	0.520382	+	0.652539i
$956$	−0.144299	−	45.0627i	−0.00466697	−	1.45743i
$957$	29.6983	−	6.77844i	0.960009	−	0.219116i
$958$	−8.18074	+	6.54538i	−0.264308	+	0.211472i
$959$	11.5030	+	40.2483i	0.371451	+	1.29969i
$960$	11.2812	+	8.82050i	0.364099	+	0.284680i
$961$	−27.2890			−0.880289
$962$	0.560653	−	0.271103i	0.0180762	−	0.00874071i
$963$	12.3989	+	2.82998i	0.399550	+	0.0911947i
$964$	1.97200	+	0.443458i	0.0635139	+	0.0142828i
$965$	−35.5205	+	28.3266i	−1.14344	+	0.911867i
$966$	−0.862994	+	1.21494i	−0.0277664	+	0.0390901i
$967$	40.5683	+	32.3522i	1.30459	+	1.04038i	0.996016	+	0.0891746i	$0.0284229\pi$
$967$	40.5683	+	32.3522i	1.30459	+	1.04038i	0.308573	+	0.951201i	$0.400149\pi$
$968$	−14.6227	+	30.7412i	−0.469991	+	0.988060i
$969$	29.5771	+	23.5870i	0.950153	+	0.757722i
$970$	5.64081	+	4.48364i	0.181115	+	0.143961i
$971$	30.3463	+	38.0531i	0.973860	+	1.22118i	0.975232	+	0.221182i	$0.0709916\pi$
$971$	30.3463	+	38.0531i	0.973860	+	1.22118i	−0.00137293	+	0.999999i	$0.500437\pi$
$972$	1.79915	−	0.873533i	0.0577078	−	0.0280186i
$973$	17.2343	−	24.1807i	0.552507	−	0.775198i
$974$	33.6748	−	42.3658i	1.07901	−	1.35749i
$975$	0.833577	−	1.73094i	0.0266958	−	0.0554345i
$976$	−4.29267	−	8.76970i	−0.137405	−	0.280711i
$977$	−10.5406	−	5.07607i	−0.337223	−	0.162398i	0.257607	−	0.966250i	$-0.417066\pi$
$977$	−10.5406	−	5.07607i	−0.337223	−	0.162398i	−0.594829	+	0.803852i	$0.702780\pi$
$978$	5.12232	−	22.6092i	0.163794	−	0.722961i
$979$	41.2010			1.31679
$980$	23.6625	−	8.25233i	0.755872	−	0.263611i
$981$	−2.63274			−0.0840569
$982$	8.23822	−	36.3623i	0.262892	−	1.16037i
$983$	−7.36908	−	3.54876i	−0.235037	−	0.113188i	0.312658	−	0.949866i	$-0.398781\pi$
$983$	−7.36908	−	3.54876i	−0.235037	−	0.113188i	−0.547696	+	0.836678i	$0.684495\pi$
$984$	−18.3883	+	0.0883244i	−0.586198	+	0.00281568i
$985$	−10.4311	+	21.6604i	−0.332363	+	0.690159i
$986$	31.7404	−	39.9323i	1.01082	−	1.27170i
$987$	−1.22187	−	4.27524i	−0.0388924	−	0.136082i
$988$	6.22078	+	12.8125i	0.197909	+	0.407619i
$989$	−2.95064	−	3.69998i	−0.0938248	−	0.117653i
$990$	−9.51128	−	7.56011i	−0.302288	−	0.240276i
$991$	−6.90412	−	5.50585i	−0.219317	−	0.174899i	0.507668	−	0.861553i	$-0.330508\pi$
$991$	−6.90412	−	5.50585i	−0.219317	−	0.174899i	−0.726985	+	0.686653i	$0.759079\pi$
$992$	4.80665	+	9.78005i	0.152611	+	0.310517i
$993$	8.85648	+	7.06281i	0.281052	+	0.224131i
$994$	−1.04088	+	6.10702i	−0.0330149	+	0.193703i
$995$	−12.3915	+	9.88188i	−0.392837	+	0.313277i
$996$	−2.71355	+	12.0668i	−0.0859820	+	0.382351i
$997$	6.98488	+	1.59425i	0.221213	+	0.0504905i	0.331691	−	0.943388i	$-0.392381\pi$
$997$	6.98488	+	1.59425i	0.221213	+	0.0504905i	−0.110478	+	0.993879i	$0.535238\pi$
$998$	−18.1972	+	8.79923i	−0.576022	+	0.278535i
$999$	−0.411622			−0.0130232

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.26	✓	168
4.3	odd	2		588.2.x.b.55.10	yes	168
49.41	odd	14		588.2.x.b.139.10	yes	168
196.139	even	14	inner	588.2.x.a.139.26	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.26	✓	168	1.1	even	1	trivial
588.2.x.a.139.26	yes	168	196.139	even	14	inner
588.2.x.b.55.10	yes	168	4.3	odd	2
588.2.x.b.139.10	yes	168	49.41	odd	14

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(1.37926 + 0.312484i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.80471 + 0.861993i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(-1.10709 - 0.879976i) q^{6} +(0.448708 - 2.60742i) q^{7} +(2.21980 + 1.75285i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(1.37926 + 0.312484i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.80471 + 0.861993i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(-1.10709 - 0.879976i) q^{6} +(0.448708 - 2.60742i) q^{7} +(2.21980 + 1.75285i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.57517 + 1.98171i) q^{10} +(3.75243 + 2.99247i) q^{11} +(-1.25198 - 1.55966i) q^{12} +(0.836410 + 0.667015i) q^{13} +(1.43366 - 3.45610i) q^{14} +(1.39949 - 1.11606i) q^{15} +(2.51394 + 3.11129i) q^{16} +(-5.54059 - 1.26460i) q^{17} +(0.615644 + 1.27318i) q^{18} +6.65670 q^{19} +(-2.79182 + 2.24107i) q^{20} +(-1.53559 + 2.15452i) q^{21} +(4.24048 + 5.29996i) q^{22} +(0.388300 - 0.0886269i) q^{23} +(-1.23943 - 2.54240i) q^{24} +(1.11968 + 1.40404i) q^{25} +(0.945194 + 1.18135i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(3.05737 - 4.31885i) q^{28} +(-1.41231 + 6.18773i) q^{29} +(2.27901 - 1.10201i) q^{30} +1.92641 q^{31} +(2.49514 + 5.07684i) q^{32} +(-2.08244 - 4.32424i) q^{33} +(-7.24673 - 3.47556i) q^{34} +(3.85663 + 2.74874i) q^{35} +(0.451283 + 1.94842i) q^{36} +(0.0915946 - 0.401302i) q^{37} +(9.18132 + 2.08012i) q^{38} +(-0.464173 - 0.963864i) q^{39} +(-4.55094 + 2.21861i) q^{40} +(2.82082 - 5.85749i) q^{41} +(-2.79123 + 2.49179i) q^{42} +(-5.15543 - 10.7054i) q^{43} +(4.19256 + 8.63509i) q^{44} +(-1.74514 + 0.398317i) q^{45} +(0.563260 - 0.000901828i) q^{46} +(-1.04783 + 1.31394i) q^{47} +(-0.915040 - 3.89393i) q^{48} +(-6.59732 - 2.33995i) q^{49} +(1.10559 + 2.28642i) q^{50} +(4.44321 + 3.54334i) q^{51} +(0.934513 + 1.92475i) q^{52} +(-0.839180 - 3.67669i) q^{53} +(-0.00226428 - 1.41421i) q^{54} +(-7.74046 + 3.72761i) q^{55} +(5.56647 - 5.00144i) q^{56} +(-5.99748 - 2.88824i) q^{57} +(-3.88151 + 8.09315i) q^{58} +(-7.27403 + 3.50299i) q^{59} +(3.48771 - 0.807805i) q^{60} +(-2.37979 - 0.543171i) q^{61} +(2.65701 + 0.601972i) q^{62} +(2.31833 - 1.27489i) q^{63} +(1.85501 + 7.78196i) q^{64} +(-1.72533 + 0.830877i) q^{65} +(-1.52097 - 6.61497i) q^{66} -10.8322i q^{67} +(-8.90906 - 7.05818i) q^{68} +(-0.388300 - 0.0886269i) q^{69} +(4.46035 + 4.99635i) q^{70} +(-1.61420 + 0.368430i) q^{71} +(0.0135856 + 2.82839i) q^{72} +(-7.88932 + 6.29152i) q^{73} +(0.251733 - 0.524877i) q^{74} +(-0.399611 - 1.75081i) q^{75} +(12.0134 + 5.73803i) q^{76} +(9.48637 - 8.44144i) q^{77} +(-0.339022 - 1.47446i) q^{78} -7.64032i q^{79} +(-6.97021 + 1.63794i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(5.72101 - 7.19753i) q^{82} +(-3.85571 - 4.83491i) q^{83} +(-4.62847 + 2.56461i) q^{84} +(6.34264 - 7.95342i) q^{85} +(-3.76542 - 16.3765i) q^{86} +(3.95720 - 4.96217i) q^{87} +(3.08429 + 13.2201i) q^{88} +(6.71153 - 5.35227i) q^{89} +(-2.53146 + 0.00405309i) q^{90} +(2.11449 - 1.88158i) q^{91} +(0.777163 + 0.174766i) q^{92} +(-1.73563 - 0.835836i) q^{93} +(-1.85581 + 1.48483i) q^{94} +(-5.16999 + 10.7356i) q^{95} +(-0.0452850 - 5.65667i) q^{96} -2.84644i q^{97} +(-8.36822 - 5.28895i) q^{98} +4.79954i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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