LMFDB - Embedded newform 588.2.x.b.55.10

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			55.10
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.611563 - 1.27514i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.25198 + 1.55966i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(0.00226428 - 1.41421i) q^{6} +(-0.448708 + 2.60742i) q^{7} +(2.75446 + 0.642622i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.611563 - 1.27514i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.25198 + 1.55966i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(0.00226428 - 1.41421i) q^{6} +(-0.448708 + 2.60742i) q^{7} +(2.75446 + 0.642622i) q^{8} +(0.623490 + 0.781831i) q^{9} +(2.53146 + 0.00405309i) q^{10} +(-3.75243 - 2.99247i) q^{11} +(-1.80471 + 0.861993i) q^{12} +(0.836410 + 0.667015i) q^{13} +(3.59925 - 1.02244i) q^{14} +(-1.39949 + 1.11606i) q^{15} +(-0.865091 - 3.90533i) q^{16} +(-5.54059 - 1.26460i) q^{17} +(0.615644 - 1.27318i) q^{18} -6.65670 q^{19} +(-1.54298 - 3.23046i) q^{20} +(-1.53559 + 2.15452i) q^{21} +(-1.52097 + 6.61497i) q^{22} +(-0.388300 + 0.0886269i) q^{23} +(2.20286 + 1.77410i) q^{24} +(1.11968 + 1.40404i) q^{25} +(0.339022 - 1.47446i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-3.50493 - 3.96428i) q^{28} +(-1.41231 + 6.18773i) q^{29} +(2.27901 + 1.10201i) q^{30} -1.92641 q^{31} +(-4.45080 + 3.49147i) q^{32} +(-2.08244 - 4.32424i) q^{33} +(1.77587 + 7.83843i) q^{34} +(-3.85663 - 2.74874i) q^{35} +(-1.99999 - 0.00640433i) q^{36} +(0.0915946 - 0.401302i) q^{37} +(4.07100 + 8.48825i) q^{38} +(0.464173 + 0.963864i) q^{39} +(-3.17567 + 3.94315i) q^{40} +(2.82082 - 5.85749i) q^{41} +(3.68643 + 0.640472i) q^{42} +(5.15543 + 10.7054i) q^{43} +(9.36521 - 2.10602i) q^{44} +(-1.74514 + 0.398317i) q^{45} +(0.350482 + 0.440937i) 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} +(-2.08749 + 0.469428i) q^{52} +(-0.839180 - 3.67669i) q^{53} +(1.10709 - 0.879976i) q^{54} +(7.74046 - 3.72761i) q^{55} +(-2.91154 + 6.89369i) q^{56} +(-5.99748 - 2.88824i) q^{57} +(8.75396 - 1.98329i) q^{58} +(7.27403 - 3.50299i) q^{59} +(0.0114639 - 3.58002i) q^{60} +(-2.37979 - 0.543171i) q^{61} +(1.17812 + 2.45644i) q^{62} +(-2.31833 + 1.27489i) q^{63} +(7.17407 + 3.54015i) q^{64} +(-1.72533 + 0.830877i) q^{65} +(-4.24048 + 5.29996i) q^{66} +10.8322i q^{67} +(8.90906 - 7.05818i) q^{68} +(-0.388300 - 0.0886269i) q^{69} +(-1.14646 + 6.59878i) q^{70} +(1.61420 - 0.368430i) q^{71} +(1.21495 + 2.55419i) q^{72} +(-7.88932 + 6.29152i) q^{73} +(-0.567734 + 0.128625i) q^{74} +(0.399611 + 1.75081i) q^{75} +(8.33406 - 10.3822i) q^{76} +(9.48637 - 8.44144i) q^{77} +(0.945194 - 1.18135i) q^{78} +7.64032i q^{79} +(6.97021 + 1.63794i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-9.19424 - 0.0147208i) q^{82} +(3.85571 + 4.83491i) q^{83} +(-1.43779 - 5.09242i) q^{84} +(6.34264 - 7.95342i) q^{85} +(10.4980 - 13.1209i) q^{86} +(-3.95720 + 4.96217i) q^{87} +(-8.41289 - 10.6540i) q^{88} +(6.71153 - 5.35227i) q^{89} +(1.57517 + 1.98171i) q^{90} +(-2.11449 + 1.88158i) q^{91} +(0.347916 - 0.716575i) q^{92} +(-1.73563 - 0.835836i) q^{93} +(-2.31627 - 0.532577i) q^{94} +(5.16999 - 10.7356i) q^{95} +(-5.52493 + 1.21458i) q^{96} -2.84644i q^{97} +(1.05092 + 9.84356i) 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} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 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} + 23 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} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * 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 + 23 * 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 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * 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 $

$2$	−0.611563	−	1.27514i	−0.432441	−	0.901662i
$2$	−0.611563	−	1.27514i	−0.432441	−	0.901662i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	−1.25198	+	1.55966i	−0.625990	+	0.779831i
$5$	−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	$0.273937\pi$
$6$	0.00226428	−	1.41421i	0.000924387	−	0.577350i
$7$	−0.448708	+	2.60742i	−0.169596	+	0.985514i
$7$	−0.448708	+	2.60742i	−0.169596	+	0.985514i
$8$	2.75446	+	0.642622i	0.973848	+	0.227201i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	2.53146	+	0.00405309i	0.800519	+	0.00128170i
$11$	−3.75243	−	2.99247i	−1.13140	−	0.902262i	−0.135328	−	0.990801i	$-0.543209\pi$
$11$	−3.75243	−	2.99247i	−1.13140	−	0.902262i	−0.996073	+	0.0885386i	$0.971780\pi$
$12$	−1.80471	+	0.861993i	−0.520974	+	0.248836i
$13$	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	$0.666888\pi$
$14$	3.59925	−	1.02244i	0.961941	−	0.273258i
$15$	−1.39949	+	1.11606i	−0.361347	+	0.288165i
$16$	−0.865091	−	3.90533i	−0.216273	−	0.976333i
$17$	−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	$-0.776558\pi$
$19$	−6.65670			−1.52715			−0.763576	+	0.645718i	$0.776558\pi$
$20$	−1.54298	−	3.23046i	−0.345021	−	0.722353i
$21$	−1.53559	+	2.15452i	−0.335093	+	0.470155i
$22$	−1.52097	+	6.61497i	−0.324272	+	1.41032i
$23$	−0.388300	+	0.0886269i	−0.0809661	+	0.0184800i	−0.262812	−	0.964847i	$-0.584650\pi$
$23$	−0.388300	+	0.0886269i	−0.0809661	+	0.0184800i	0.181846	+	0.983327i	$0.441793\pi$
$24$	2.20286	+	1.77410i	0.449656	+	0.362136i
$25$	1.11968	+	1.40404i	0.223937	+	0.280808i
$26$	0.339022	−	1.47446i	0.0664876	−	0.289166i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	−3.50493	−	3.96428i	−0.662369	−	0.749178i
$29$	−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	$-0.555345\pi$
$31$	−1.92641			−0.345993			−0.172996	+	0.984922i	$0.555345\pi$
$32$	−4.45080	+	3.49147i	−0.786798	+	0.617211i
$33$	−2.08244	−	4.32424i	−0.362507	−	0.752753i
$34$	1.77587	+	7.83843i	0.304559	+	1.34428i
$35$	−3.85663	−	2.74874i	−0.651890	−	0.464621i
$36$	−1.99999	−	0.00640433i	−0.333332	−	0.00106739i
$37$	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	$0.0606565\pi$
$38$	4.07100	+	8.48825i	0.660403	+	1.37698i
$39$	0.464173	+	0.963864i	0.0743271	+	0.154342i
$40$	−3.17567	+	3.94315i	−0.502117	+	0.623468i
$41$	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	$-0.0266352\pi$
$42$	3.68643	+	0.640472i	0.568829	+	0.0988270i
$43$	5.15543	+	10.7054i	0.786196	+	1.63255i	0.774460	+	0.632623i	$0.218022\pi$
$43$	5.15543	+	10.7054i	0.786196	+	1.63255i	0.0117361	+	0.999931i	$0.496264\pi$
$44$	9.36521	−	2.10602i	1.41186	−	0.317494i
$45$	−1.74514	+	0.398317i	−0.260150	+	0.0593775i
$46$	0.350482	+	0.440937i	0.0516757	+	0.0650126i
$47$	1.04783	−	1.31394i	0.152842	−	0.191657i	−0.699516	−	0.714617i	$-0.746601\pi$
$47$	1.04783	−	1.31394i	0.152842	−	0.191657i	0.852357	+	0.522960i	$0.175172\pi$
$48$	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
$52$	−2.08749	+	0.469428i	−0.289482	+	0.0650979i
$53$	−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	$-0.154825\pi$
$54$	1.10709	−	0.879976i	0.150655	−	0.119750i
$55$	7.74046	−	3.72761i	1.04372	−	0.502631i
$56$	−2.91154	+	6.89369i	−0.389070	+	0.921208i
$57$	−5.99748	−	2.88824i	−0.794386	−	0.382556i
$58$	8.75396	−	1.98329i	1.14945	−	0.260419i
$59$	7.27403	−	3.50299i	0.946999	−	0.456050i	0.104366	−	0.994539i	$-0.466719\pi$
$59$	7.27403	−	3.50299i	0.946999	−	0.456050i	0.842633	+	0.538489i	$0.181004\pi$
$60$	0.0114639	−	3.58002i	0.00147998	−	0.462178i
$61$	−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	$0.621375\pi$
$62$	1.17812	+	2.45644i	0.149621	+	0.311969i
$63$	−2.31833	+	1.27489i	−0.292082	+	0.160621i
$64$	7.17407	+	3.54015i	0.896759	+	0.442519i
$65$	−1.72533	+	0.830877i	−0.214001	+	0.103058i
$66$	−4.24048	+	5.29996i	−0.521967	+	0.652380i
$67$			10.8322i			1.32336i	0.749784	+	0.661682i	$0.230157\pi$
$67$			10.8322i			1.32336i	−0.749784	+	0.661682i	$0.769843\pi$
$68$	8.90906	−	7.05818i	1.08038	−	0.855930i
$69$	−0.388300	−	0.0886269i	−0.0467458	−	0.0106694i
$70$	−1.14646	+	6.59878i	−0.137028	+	0.788706i
$71$	1.61420	−	0.368430i	0.191570	−	0.0437246i	−0.125659	−	0.992073i	$-0.540105\pi$
$71$	1.61420	−	0.368430i	0.191570	−	0.0437246i	0.317229	+	0.948349i	$0.397248\pi$
$72$	1.21495	+	2.55419i	0.143184	+	0.301014i
$73$	−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	$0.486792\pi$
$74$	−0.567734	+	0.128625i	−0.0659977	+	0.0149524i
$75$	0.399611	+	1.75081i	0.0461431	+	0.202166i
$76$	8.33406	−	10.3822i	0.955983	−	1.19092i
$77$	9.48637	−	8.44144i	1.08107	−	0.961991i
$78$	0.945194	−	1.18135i	0.107022	−	0.133762i
$79$			7.64032i			0.859603i	0.902923	+	0.429802i	$0.141417\pi$
$79$			7.64032i			0.859603i	−0.902923	+	0.429802i	$0.858583\pi$
$80$	6.97021	+	1.63794i	0.779293	+	0.183127i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−9.19424	−	0.0147208i	−1.01533	−	0.00162564i
$83$	3.85571	+	4.83491i	0.423219	+	0.530700i	0.947034	−	0.321132i	$-0.104063\pi$
$83$	3.85571	+	4.83491i	0.423219	+	0.530700i	−0.523815	+	0.851832i	$0.675492\pi$
$84$	−1.43779	−	5.09242i	−0.156876	−	0.555629i
$85$	6.34264	−	7.95342i	0.687956	−	0.862669i
$86$	10.4980	−	13.1209i	1.13203	−	1.41487i
$87$	−3.95720	+	4.96217i	−0.424257	+	0.532001i
$88$	−8.41289	−	10.6540i	−0.896817	−	1.13572i
$89$	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	$0.135364\pi$
$90$	1.57517	+	1.98171i	0.166038	+	0.208890i
$91$	−2.11449	+	1.88158i	−0.221659	+	0.197243i
$92$	0.347916	−	0.716575i	0.0362727	−	0.0747081i
$93$	−1.73563	−	0.835836i	−0.179977	−	0.0866722i
$94$	−2.31627	−	0.532577i	−0.238905	−	0.0549311i
$95$	5.16999	−	10.7356i	0.530430	−	1.10145i
$96$	−5.52493	+	1.21458i	−0.563885	+	0.123962i
$97$		−	2.84644i		−	0.289012i	−0.989504	−	0.144506i	$-0.953841\pi$
$97$		−	2.84644i		−	0.289012i	0.989504	−	0.144506i	$-0.0461593\pi$
$98$	1.05092	+	9.84356i	0.106158	+	0.994349i
$99$		−	4.79954i		−	0.482372i
$100$	−3.59165	−	0.0115011i	−0.359165	−	0.00115011i
$101$	−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	$0.989455\pi$
$102$	−1.80096	+	7.83270i	−0.178322	+	0.775553i
$103$	9.05209	+	4.35926i	0.891929	+	0.429530i	0.822967	−	0.568089i	$-0.192317\pi$
$103$	9.05209	+	4.35926i	0.891929	+	0.429530i	0.0689617	+	0.997619i	$0.478031\pi$
$104$	1.87522	+	2.37476i	0.183880	+	0.232864i
$105$	−2.28207	−	4.14986i	−0.222708	−	0.404984i
$106$	−4.17509	+	3.31860i	−0.405521	+	0.322331i
$107$	−9.94318	+	7.92942i	−0.961243	+	0.766566i	−0.972388	−	0.233372i	$-0.925024\pi$
$107$	−9.94318	+	7.92942i	−0.961243	+	0.766566i	0.0111442	+	0.999938i	$0.496453\pi$
$108$	−1.79915	−	0.873533i	−0.173123	−	0.0840558i
$109$	−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	$0.254527\pi$
$110$	−9.48702	−	7.59053i	−0.904552	−	0.723729i
$111$	0.256642	−	0.321819i	0.0243594	−	0.0305457i
$112$	10.5710	−	0.503304i	0.998868	−	0.0475577i
$113$	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	$0.679065\pi$
$114$	−0.0150726	+	9.41399i	−0.00141168	+	0.881701i
$115$	0.158644	−	0.695063i	0.0147936	−	0.0648150i
$116$	−7.88258	−	9.94964i	−0.731880	−	0.923801i
$117$			1.06981i			0.0989039i
$118$	−8.91535	−	7.13313i	−0.820724	−	0.656658i
$119$	5.78346	−	13.8792i	0.530169	−	1.27231i
$120$	−4.57205	+	2.17479i	−0.417369	+	0.198530i
$121$	2.67817	+	11.7338i	0.243470	+	1.06671i
$122$	0.762770	+	3.36675i	0.0690579	+	0.304811i
$123$	5.08294	−	4.05351i	0.458313	−	0.365492i
$124$	2.41182	−	3.00454i	0.216588	−	0.269816i
$125$	−11.8597	+	2.70689i	−1.06076	+	0.242112i
$126$	3.04347	+	2.17653i	0.271134	+	0.193901i
$127$	17.3041	+	3.94954i	1.53549	+	0.350465i	0.904890	−	0.425645i	$-0.139953\pi$
$127$	17.3041	+	3.94954i	1.53549	+	0.350465i	0.630598	+	0.776110i	$0.282810\pi$
$128$	0.126797	−	11.3130i	0.0112074	−	0.999937i
$129$			11.8821i			1.04616i
$130$	2.11464	+	1.69191i	0.185466	+	0.148391i
$131$	−14.5713	+	7.01715i	−1.27310	+	0.613091i	−0.943607	−	0.331068i	$-0.892591\pi$
$131$	−14.5713	+	7.01715i	−1.27310	+	0.613091i	−0.329489	+	0.944159i	$0.606877\pi$
$132$	9.35153	+	2.16595i	0.813946	+	0.188522i
$133$	2.98692	−	17.3569i	0.258999	−	1.50503i
$134$	13.8126	−	6.62458i	1.19323	−	0.572277i
$135$	−1.74514	−	0.398317i	−0.150198	−	0.0342816i
$136$	−14.4486	−	7.04380i	−1.23896	−	0.604001i
$137$	−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	$0.593372\pi$
$138$	0.124458	+	0.549339i	0.0105946	+	0.0467628i
$139$	−10.1118	−	4.86958i	−0.857671	−	0.413033i	−0.0472518	−	0.998883i	$-0.515046\pi$
$139$	−10.1118	−	4.86958i	−0.857671	−	0.413033i	−0.810419	+	0.585850i	$0.800761\pi$
$140$	9.11553	−	2.57368i	0.770403	−	0.217515i
$141$	1.51416	−	0.729180i	0.127515	−	0.0614080i
$142$	−1.45698	−	1.83301i	−0.122267	−	0.153823i
$143$	−1.14255	−	5.00586i	−0.0955452	−	0.418611i
$144$	2.51394	−	3.11129i	0.209495	−	0.259274i
$145$	−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	$0.0304725\pi$
$150$	1.98815	−	1.58029i	0.162331	−	0.129030i
$151$	19.6481	−	4.48454i	1.59894	−	0.364947i	0.672114	−	0.740447i	$-0.265386\pi$
$151$	19.6481	−	4.48454i	1.59894	−	0.364947i	0.926822	+	0.375501i	$0.122529\pi$
$152$	−18.3356	−	4.27774i	−1.48721	−	0.346971i
$153$	−2.46579	−	5.12027i	−0.199348	−	0.413949i
$154$	−16.5656	−	6.93401i	−1.33489	−	0.558758i
$155$	1.49616	−	3.10681i	0.120175	−	0.249545i
$156$	−2.08444	−	0.482787i	−0.166889	−	0.0386539i
$157$	−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	$-0.325496\pi$
$158$	9.74250	−	4.67254i	0.775072	−	0.371727i
$159$	0.839180	−	3.67669i	0.0665513	−	0.291580i
$160$	−2.17412	−	9.88972i	−0.171879	−	0.781851i
$161$	−0.0568546	−	1.05223i	−0.00448077	−	0.0829273i
$162$	1.37926	−	0.312484i	0.108365	−	0.0245511i
$163$	−7.11233	−	14.7689i	−0.557081	−	1.15679i	−0.969340	−	0.245724i	$-0.920974\pi$
$163$	−7.11233	−	14.7689i	−0.557081	−	1.15679i	0.412259	−	0.911067i	$-0.364740\pi$
$164$	5.60409	+	11.7330i	0.437606	+	0.916192i
$165$	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	$-0.721754\pi$
$167$	3.47935	−	15.2440i	0.269240	−	1.17962i	0.910899	−	0.412629i	$-0.135389\pi$
$168$	−5.61426	+	4.94773i	−0.433150	+	0.381726i
$169$	−2.63810	−	11.5583i	−0.202931	−	0.889097i
$170$	−14.0207	−	3.22375i	−1.07534	−	0.247251i
$171$	−4.15039	−	5.20442i	−0.317388	−	0.397992i
$172$	−23.1513	−	5.36218i	−1.76527	−	0.408862i
$173$	−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	$0.491019\pi$
$174$	8.74756	+	2.01131i	0.663151	+	0.152477i
$175$	−4.16334	+	2.28949i	−0.314719	+	0.173069i
$176$	−8.44038	+	17.2432i	−0.636217	+	1.29976i
$177$	8.07357			0.606847
$178$	−10.9294	−	5.28491i	−0.819196	−	0.396121i
$179$	10.3661	+	2.36600i	0.774801	+	0.176843i	0.591599	−	0.806232i	$-0.298497\pi$
$179$	10.3661	+	2.36600i	0.774801	+	0.176843i	0.183202	+	0.983075i	$0.441354\pi$
$180$	1.56364	−	3.22051i	0.116547	−	0.240043i
$181$	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	$0.152648\pi$
$182$	3.69243	+	1.54558i	0.273701	+	0.114566i
$183$	−1.90844	−	1.52193i	−0.141076	−	0.112504i
$184$	−1.12651	−	0.00541095i	−0.0830473	−	0.000398901i
$185$	0.576062	+	0.459394i	0.0423529	+	0.0337753i
$186$	−0.00436191	+	2.72435i	−0.000319831	+	0.199759i
$187$	17.0064	+	21.3253i	1.24363	+	1.55946i
$188$	0.737435	+	3.27928i	0.0537830	+	0.239166i
$189$	−2.64190	+	0.142748i	−0.192170	+	0.0103834i
$190$	−16.8512	−	0.0269802i	−1.22252	−	0.00195735i
$191$	−6.25188	+	12.9822i	−0.452370	+	0.939357i	0.542676	+	0.839942i	$0.317411\pi$
$191$	−6.25188	+	12.9822i	−0.452370	+	0.939357i	−0.995046	+	0.0994144i	$0.968303\pi$
$192$	4.92760	+	6.30228i	0.355619	+	0.454828i
$193$	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	$0.276241\pi$
$194$	−3.62962	+	1.74078i	−0.260591	+	0.124981i
$195$	−1.91498			−0.137134
$196$	11.9092	−	7.36003i	0.850660	−	0.525716i
$197$	13.4307			0.956901			0.478450	−	0.878115i	$-0.341199\pi$
$197$	13.4307			0.956901			0.478450	+	0.878115i	$0.341199\pi$
$198$	−6.12010	+	2.93522i	−0.434937	+	0.208597i
$199$	−7.97742	−	3.84172i	−0.565505	−	0.272333i	0.129211	−	0.991617i	$-0.458756\pi$
$199$	−7.97742	−	3.84172i	−0.565505	−	0.272333i	−0.694716	+	0.719284i	$0.744470\pi$
$200$	2.18186	+	4.58690i	0.154281	+	0.324343i
$201$	−4.69992	+	9.75948i	−0.331507	+	0.688381i
$202$	13.1748	+	0.0210940i	0.926974	+	0.00148417i
$203$	−15.5003	−	6.45897i	−1.08791	−	0.453331i
$204$	11.0892	−	2.49371i	0.776400	−	0.174595i
$205$	7.25585	+	9.09855i	0.506771	+	0.635470i
$206$	0.0227493	−	14.2087i	0.00158502	−	0.989965i
$207$	−0.311392	−	0.248327i	−0.0216433	−	0.0172599i
$208$	1.88134	−	3.84349i	0.130448	−	0.266498i
$209$	24.9788	+	19.9200i	1.72782	+	1.37789i
$210$	−3.89603	+	5.44787i	−0.268851	+	0.375939i
$211$	−6.89102	+	5.49541i	−0.474398	+	0.378319i	−0.831302	−	0.555822i	$-0.812404\pi$
$211$	−6.89102	+	5.49541i	−0.474398	+	0.378319i	0.356904	+	0.934141i	$0.383832\pi$
$212$	6.78503	+	3.29431i	0.465998	+	0.226254i
$213$	1.61420	+	0.368430i	0.110603	+	0.0252444i
$214$	16.1920	+	7.82963i	1.10686	+	0.535223i
$215$	−21.2691			−1.45054
$216$	−0.0135856	+	2.82839i	−0.000924383	+	0.192448i
$217$	0.864394	−	5.02296i	0.0586789	−	0.340981i
$218$	3.62858	+	0.834313i	0.245758	+	0.0565068i
$219$	−9.83782	+	2.24542i	−0.664778	+	0.151731i
$220$	−3.87710	+	16.7394i	−0.261394	+	1.12857i
$221$	−3.79069	−	4.75338i	−0.254990	−	0.319747i
$222$	−0.567319	−	0.130443i	−0.0380759	−	0.00875475i
$223$	−5.11270	−	22.4002i	−0.342372	−	1.50003i	−0.794053	−	0.607848i	$-0.792033\pi$
$223$	−5.11270	−	22.4002i	−0.342372	−	1.50003i	0.451682	−	0.892179i	$-0.350824\pi$
$224$	−7.10664	−	13.1718i	−0.474832	−	0.880076i
$225$	−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	$-0.375651\pi$
$227$	11.4744			0.761584			0.380792	+	0.924661i	$0.375651\pi$
$228$	12.0134	−	5.73803i	0.795607	−	0.380010i
$229$	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	$0.718192\pi$
$230$	−0.983326	+	0.222782i	−0.0648386	+	0.0146898i
$231$	12.2095	−	3.48949i	0.803328	−	0.229592i
$232$	−7.86652	+	16.1363i	−0.516462	+	1.05940i
$233$	−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	$0.105984\pi$
$234$	1.36416	−	0.654256i	0.0891779	−	0.0427700i
$235$	1.30524	+	2.71037i	0.0851448	+	0.176805i
$236$	−3.64347	+	15.7307i	−0.237169	+	1.02398i
$237$	−3.31501	+	6.88369i	−0.215333	+	0.447144i
$238$	−21.2349	+	1.11328i	−1.37646	+	0.0721633i
$239$	9.77605	+	20.3002i	0.632360	+	1.31311i	0.933174	+	0.359426i	$0.117027\pi$
$239$	9.77605	+	20.3002i	0.632360	+	1.31311i	−0.300814	+	0.953683i	$0.597258\pi$
$240$	5.56927	+	4.49999i	0.359495	+	0.290473i
$241$	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	$0.418209\pi$
$242$	13.3245	−	10.5910i	0.856528	−	0.680818i
$243$	−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
$248$	−5.30620	−	1.23795i	−0.336944	−	0.0786100i
$249$	1.37609	+	6.02903i	0.0872059	+	0.382074i
$250$	10.7046	+	13.4673i	0.677020	+	0.851750i
$251$	−25.4529	+	12.2575i	−1.60657	+	0.773686i	−0.999776	−	0.0211698i	$-0.993261\pi$
$251$	−25.4529	+	12.2575i	−1.60657	+	0.773686i	−0.606799	+	0.794855i	$0.707547\pi$
$252$	0.914111	−	5.21195i	0.0575836	−	0.328322i
$253$	1.72228	+	0.829407i	0.108279	+	0.0521444i
$254$	−5.54631	−	24.4806i	−0.348006	−	1.53605i
$255$	9.16538	−	4.41381i	0.573958	−	0.276404i
$256$	−14.5032	+	6.75693i	−0.906452	+	0.422308i
$257$	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	$0.433191\pi$
$258$	15.1513	−	7.26664i	0.943281	−	0.452401i
$259$	1.00527	+	0.418893i	0.0624642	+	0.0260288i
$260$	0.864197	−	3.73118i	0.0535952	−	0.231398i
$261$	−5.71832	+	2.75380i	−0.353955	+	0.170456i
$262$	17.8591	+	14.2890i	1.10334	+	0.882778i
$263$		−	28.5282i		−	1.75912i	−0.475784	−	0.879562i	$-0.657836\pi$
$263$		−	28.5282i		−	1.75912i	0.475784	−	0.879562i	$-0.342164\pi$
$264$	−2.95715	−	13.2492i	−0.182000	−	0.815429i
$265$	6.58134	+	1.50215i	0.404289	+	0.0922762i
$266$	−23.9592	+	6.80607i	−1.46903	+	0.417307i
$267$	8.36914	−	1.91020i	0.512183	−	0.116902i
$268$	−16.8946	−	13.5617i	−1.03200	−	0.828413i
$269$	−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	$0.962710\pi$
$270$	0.559352	+	2.46890i	0.0340411	+	0.150252i
$271$	6.81985	+	29.8797i	0.414276	+	1.81506i	0.563328	+	0.826234i	$0.309521\pi$
$271$	6.81985	+	29.8797i	0.414276	+	1.81506i	−0.149051	+	0.988829i	$0.547622\pi$
$272$	−0.145584	+	22.7318i	−0.00882735	+	1.37832i
$273$	−2.72148	+	0.777801i	−0.164712	+	0.0470747i
$274$	17.4712	+	13.9786i	1.05547	+	0.844478i
$275$		−	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	$-0.228776\pi$
$278$	−0.0254125	+	15.8720i	−0.00152414	+	0.951942i
$279$	−1.20109	−	1.50613i	−0.0719077	−	0.0901694i
$280$	−8.85653	−	10.0496i	−0.529279	−	0.600580i
$281$	−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	$0.327955\pi$
$282$	−1.85581	−	1.48483i	−0.110512	−	0.0884202i
$283$	−2.23601	+	2.80387i	−0.132917	+	0.166673i	−0.843836	−	0.536601i	$-0.819708\pi$
$283$	−2.23601	+	2.80387i	−0.132917	+	0.166673i	0.710919	+	0.703274i	$0.248279\pi$
$284$	−1.44632	+	2.97887i	−0.0858230	+	0.176763i
$285$	9.31601	−	7.42927i	0.551833	−	0.440072i
$286$	−5.68444	+	4.51832i	−0.336128	+	0.267174i
$287$	14.0072	+	9.98337i	0.826821	+	0.589300i
$288$	−5.50477	−	1.30288i	−0.324372	−	0.0767728i
$289$	13.7824	+	6.63726i	0.810730	+	0.390427i
$290$	−3.60029	+	15.6583i	−0.211416	+	0.919487i
$291$	1.23502	−	2.56455i	0.0723984	−	0.150337i
$292$	0.0646249	−	20.1815i	0.00378189	−	1.18103i
$293$			32.4844i			1.89776i	0.315638	+	0.948880i	$0.397781\pi$
$293$			32.4844i			1.89776i	−0.315638	+	0.948880i	$0.602219\pi$
$294$	−3.32412	+	9.32471i	−0.193866	+	0.543828i
$295$			14.4518i			0.841418i
$296$	0.510179	−	1.04651i	0.0296535	−	0.0608271i
$297$	2.08244	−	4.32424i	0.120836	−	0.250918i
$298$	−18.3682	−	4.22337i	−1.06404	−	0.244654i
$299$	−0.383893	−	0.184873i	−0.0222011	−	0.0106915i
$300$	−3.23098	−	1.56872i	−0.186540	−	0.0905702i
$301$	−30.2267	+	8.63882i	−1.74224	+	0.497933i
$302$	−17.7345	−	22.3115i	−1.02050	−	1.28388i
$303$	−7.28353	+	5.80842i	−0.418428	+	0.333685i
$304$	5.75865	+	25.9966i	0.330281	+	1.49101i
$305$	2.72428	−	3.41614i	0.155992	−	0.195608i
$306$	−5.02109	+	6.27561i	−0.287037	+	0.358753i
$307$	0.0712122	−	0.0892972i	0.00406429	−	0.00509646i	−0.779795	−	0.626035i	$-0.784677\pi$
$307$	0.0712122	−	0.0892972i	0.00406429	−	0.00509646i	0.783859	+	0.620938i	$0.213248\pi$
$308$	1.28904	+	25.3641i	0.0734498	+	1.44525i
$309$	6.26424	+	7.85511i	0.356360	+	0.446861i
$310$	−4.87663	−	0.00780791i	−0.276974	−	0.000443459i
$311$	−1.50947	+	6.61341i	−0.0855941	+	0.375012i	−0.999524	−	0.0308604i	$-0.990175\pi$
$311$	−1.50947	+	6.61341i	−0.0855941	+	0.375012i	0.913930	+	0.405873i	$0.133032\pi$
$312$	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	$0.971049\pi$
$314$	−12.0182	+	15.0210i	−0.678228	+	0.847683i
$315$	−0.255522	−	4.72904i	−0.0143970	−	0.266451i
$316$	−11.9163	−	9.56553i	−0.670345	−	0.538103i
$317$	−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	$-0.199198\pi$
$318$	−5.20152	+	1.17845i	−0.291687	+	0.0660844i
$319$	23.8162	−	18.9928i	1.33345	−	1.06339i
$320$	−11.2812	+	8.82050i	−0.630638	+	0.493081i
$321$	−12.3989	+	2.82998i	−0.692041	+	0.157954i
$322$	−1.30697	+	0.716003i	−0.0728348	+	0.0399013i
$323$	36.8820	+	8.41809i	2.05217	+	0.468395i
$324$	−1.24197	−	1.56765i	−0.0689981	−	0.0870916i
$325$			1.92120i			0.106569i
$326$	−14.4828	+	18.1014i	−0.802130	+	1.00254i
$327$	−2.37202	+	1.14230i	−0.131173	+	0.0631695i
$328$	11.5340	−	14.3215i	0.636857	−	0.790772i
$329$	2.95582	+	3.32171i	0.162960	+	0.183132i
$330$	−5.25410	−	10.9551i	−0.289229	−	0.603058i
$331$	11.0439	+	2.52069i	0.607025	+	0.138549i	0.514975	−	0.857205i	$-0.327801\pi$
$331$	11.0439	+	2.52069i	0.607025	+	0.138549i	0.0920496	+	0.995754i	$0.470658\pi$
$332$	−12.3681	−	0.0396049i	−0.678787	−	0.00217360i
$333$	0.370859	−	0.178596i	0.0203229	−	0.00978701i
$334$	−21.5662	+	4.88602i	−1.18005	+	0.267351i
$335$	−17.4697	−	8.41294i	−0.954469	−	0.459648i
$336$	9.74254	+	4.13314i	0.531499	+	0.225481i
$337$	−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	$0.368811\pi$
$338$	−13.1251	+	10.4326i	−0.713910	+	0.567457i
$339$	1.55557	+	6.81541i	0.0844871	+	0.370162i
$340$	4.46378	+	19.8499i	0.242083	+	1.07651i
$341$	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
$346$	4.51229	+	5.67685i	0.242582	+	0.305190i
$347$	−1.89840	+	0.433299i	−0.101912	+	0.0232607i	−0.273173	−	0.961965i	$-0.588073\pi$
$347$	−1.89840	+	0.433299i	−0.101912	+	0.0232607i	0.171261	+	0.985226i	$0.445216\pi$
$348$	−2.78498	−	12.3844i	−0.149290	−	0.663876i
$349$	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	$0.551180\pi$
$350$	5.46557	+	3.90869i	0.292147	+	0.208928i
$351$	−0.464173	+	0.963864i	−0.0247757	+	0.0514473i
$352$	27.1494	+	0.217347i	1.44707	+	0.0115847i
$353$	−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	$0.950328\pi$
$354$	−4.93750	−	10.2950i	−0.262425	−	0.547171i
$355$	−0.659496	+	2.88944i	−0.0350024	+	0.153356i
$356$	−0.0549771	+	17.1686i	−0.00291378	+	0.909937i
$357$	11.2327	−	9.99540i	0.594497	−	0.529012i
$358$	−3.32256	−	14.6653i	−0.175603	−	0.775083i
$359$	−6.10659	−	12.6805i	−0.322293	−	0.669249i	0.675377	−	0.737473i	$-0.263981\pi$
$359$	−6.10659	−	12.6805i	−0.322293	−	0.669249i	−0.997670	+	0.0682240i	$0.978267\pi$
$360$	−5.06288	−	0.0243185i	−0.266837	−	0.00128170i
$361$	25.3117			1.33220
$362$	−13.9076	−	6.72499i	−0.730966	−	0.353457i
$363$	−2.67817	+	11.7338i	−0.140568	+	0.615867i
$364$	−0.287324	−	5.65360i	−0.0150599	−	0.296329i
$365$	−4.01934	−	17.6099i	−0.210382	−	0.921743i
$366$	−0.773547	+	3.36429i	−0.0404339	+	0.175854i
$367$	−10.2539	−	12.8580i	−0.535251	−	0.671184i	0.438518	−	0.898722i	$-0.355504\pi$
$367$	−10.2539	−	12.8580i	−0.535251	−	0.671184i	−0.973769	+	0.227539i	$0.926932\pi$
$368$	0.682032	+	1.43977i	0.0355534	+	0.0750531i
$369$	6.33832	−	1.44668i	0.329960	−	0.0753112i
$370$	0.233495	−	1.01551i	0.0121388	−	0.0527939i
$371$	9.96324	−	0.538338i	0.517265	−	0.0279491i
$372$	3.47660	−	1.66055i	0.180253	−	0.0860954i
$373$	−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
$376$	3.73057	−	2.94582i	0.192389	−	0.151919i
$377$	−5.30858	+	4.23345i	−0.273406	+	0.218034i
$378$	1.79771	+	3.28150i	0.0924644	+	0.168782i
$379$	−16.2691	−	12.9742i	−0.835688	−	0.666439i	0.109133	−	0.994027i	$-0.465193\pi$
$379$	−16.2691	−	12.9742i	−0.835688	−	0.666439i	−0.944821	+	0.327588i	$0.893764\pi$
$380$	10.2712	+	21.5042i	0.526901	+	1.10314i
$381$	13.8768	+	11.0664i	0.710929	+	0.566947i
$382$	20.3775	+	0.0326262i	1.04261	+	0.00166930i
$383$	1.24006	+	1.55499i	0.0633644	+	0.0794564i	0.812504	−	0.582956i	$-0.198104\pi$
$383$	1.24006	+	1.55499i	0.0633644	+	0.0794564i	−0.749139	+	0.662413i	$0.769533\pi$
$384$	5.02277	−	10.1376i	0.256317	−	0.517334i
$385$	6.24625	+	21.8553i	0.318339	+	1.11385i
$386$	0.0574695	−	35.8941i	0.00292512	−	1.82696i
$387$	−5.15543	+	10.7054i	−0.262065	+	0.544185i
$388$	4.43948	+	3.56369i	0.225381	+	0.180919i
$389$	−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	$0.901840\pi$
$390$	1.17113	+	2.44187i	0.0593025	+	0.123649i
$391$	2.26349			0.114469
$392$	−16.6683	−	10.6849i	−0.841878	−	0.539667i
$393$	−16.1729			−0.815813
$394$	−8.21375	−	17.1261i	−0.413803	−	0.862801i
$395$	−12.3219	−	5.93393i	−0.619984	−	0.298568i
$396$	7.48566	+	6.00893i	0.376169	+	0.301960i
$397$	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	$-0.137684\pi$
$398$	−0.0200485	+	12.5218i	−0.00100494	+	0.627662i
$399$	10.2220	−	14.3420i	0.511739	−	0.717998i
$400$	4.51461	−	5.58736i	0.225731	−	0.279368i
$401$	−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	$0.937055\pi$
$402$	15.3190	+	0.0245271i	0.764044	+	0.00122330i
$403$	−1.61127	−	1.28494i	−0.0802629	−	0.0640075i
$404$	−8.03031	−	16.8126i	−0.399523	−	0.836459i
$405$	−1.39949	−	1.11606i	−0.0695413	−	0.0554574i
$406$	1.24331	+	23.7152i	0.0617046	+	1.17697i
$407$	−1.54459	+	1.23177i	−0.0765622	+	0.0610563i
$408$	−9.96159	−	12.6153i	−0.493172	−	0.624549i
$409$	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
$412$	−18.1320	+	8.66049i	−0.893300	+	0.426672i
$413$	5.86986	+	20.5383i	0.288837	+	1.01062i
$414$	−0.126216	+	0.548937i	−0.00620320	+	0.0269788i
$415$	−10.7921	+	2.46322i	−0.529762	+	0.120915i
$416$	−6.05156	−	0.0484463i	−0.296702	−	0.00237528i
$417$	−6.99758	−	8.77468i	−0.342673	−	0.429698i
$418$	10.1247	−	44.0339i	0.495213	−	2.15377i
$419$	0.430596	+	1.88657i	0.0210360	+	0.0921648i	0.984356	−	0.176190i	$-0.0563773\pi$
$419$	0.430596	+	1.88657i	0.0210360	+	0.0921648i	−0.963320	+	0.268355i	$0.913520\pi$
$420$	9.32948	+	1.63627i	0.455232	+	0.0798420i
$421$	−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
$424$	0.0512346	−	10.6666i	0.00248817	−	0.518014i
$425$	−4.42816	−	9.19516i	−0.214797	−	0.446031i
$426$	−0.517383	−	2.28365i	−0.0250673	−	0.110643i
$427$	2.48411	−	5.96139i	0.120214	−	0.288492i
$428$	0.0814490	−	25.4355i	0.00393699	−	1.22947i
$429$	1.14255	−	5.00586i	0.0551630	−	0.241685i
$430$	13.0074	+	27.1212i	0.627273	+	1.30790i
$431$	8.45513	+	17.5573i	0.407269	+	0.845703i	0.999211	+	0.0397224i	$0.0126473\pi$
$431$	8.45513	+	17.5573i	0.407269	+	0.845703i	−0.591942	+	0.805981i	$0.701638\pi$
$432$	3.61492	−	1.71242i	0.173923	−	0.0823888i
$433$	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	$0.135826\pi$
$434$	−6.93362	+	1.96963i	−0.332825	+	0.0945453i
$435$	−4.92935	−	10.2359i	−0.236344	−	0.490774i
$436$	−1.15524	−	5.13719i	−0.0553258	−	0.246027i
$437$	2.58480	−	0.589963i	0.123648	−	0.0282218i
$438$	8.87968	+	11.1714i	0.424288	+	0.533791i
$439$	9.73127	−	12.2026i	0.464448	−	0.582400i	−0.493354	−	0.869829i	$-0.664229\pi$
$439$	9.73127	−	12.2026i	0.464448	−	0.582400i	0.957802	+	0.287429i	$0.0928006\pi$
$440$	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	0.675380	−	0.737470i	$-0.263980\pi$
$443$	2.24548	+	1.79071i	0.106686	+	0.0850792i	−0.568694	+	0.822549i	$0.692551\pi$
$444$	0.180618	+	0.803187i	0.00857176	+	0.0381176i
$445$	3.41930	+	14.9809i	0.162090	+	0.710163i
$446$	−25.4367	+	20.2186i	−1.20446	+	0.957377i
$447$	12.0074	−	5.78245i	0.567930	−	0.273500i
$448$	−12.4497	+	17.1174i	−0.588195	+	0.808719i
$449$	−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	$0.676078\pi$
$450$	2.47692	−	0.561170i	0.116763	−	0.0264538i
$451$	−28.1133	+	13.5386i	−1.32380	+	0.637509i
$452$	−13.9813	−	0.0447706i	−0.657625	−	0.00210583i
$453$	19.6481	+	4.48454i	0.923146	+	0.210702i
$454$	−7.01733	−	14.6315i	−0.329340	−	0.686692i
$455$	−1.39228	−	4.87150i	−0.0652710	−	0.228379i
$456$	−14.6638	−	11.8096i	−0.686694	−	0.553037i
$457$	−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	$0.593205\pi$
$458$	11.3056	−	14.1303i	0.528275	−	0.660264i
$459$		−	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	$0.854012\pi$
$462$	−11.9165	−	13.4349i	−0.554406	−	0.625046i
$463$	12.1905	−	2.78241i	0.566542	−	0.129310i	0.0703502	−	0.997522i	$-0.477588\pi$
$463$	12.1905	−	2.78241i	0.566542	−	0.129310i	0.496192	+	0.868213i	$0.334731\pi$
$464$	25.3869	+	0.162589i	1.17856	+	0.00754799i
$465$	2.69599	−	2.14998i	0.125024	−	0.0997030i
$466$	4.56211	−	1.03359i	0.211336	−	0.0478802i
$467$	5.07721	+	22.2447i	0.234945	+	1.02936i	0.945475	+	0.325696i	$0.105598\pi$
$467$	5.07721	+	22.2447i	0.234945	+	1.02936i	−0.710529	+	0.703668i	$0.751544\pi$
$468$	−1.66854	−	1.33938i	−0.0771283	−	0.0619128i
$469$	−28.2442	−	4.86050i	−1.30419	−	0.224437i
$470$	2.65787	−	3.32194i	0.122598	−	0.153230i
$471$		−	13.6027i		−	0.626780i
$472$	22.2871	−	4.97438i	1.02585	−	0.228965i
$473$	12.6900	−	55.5986i	0.583488	−	2.55643i
$474$	10.8050	+	0.0172998i	0.496292	+	0.000794606i
$475$	−7.45341	−	9.34628i	−0.341986	−	0.428837i
$476$	14.4061	+	26.3968i	0.660303	+	1.20989i
$477$	2.35133	−	2.94848i	0.107660	−	0.135001i
$478$	19.9069	−	24.8807i	0.910523	−	1.13802i
$479$	4.61901	−	5.79206i	0.211048	−	0.264646i	−0.665028	−	0.746818i	$-0.731581\pi$
$479$	4.61901	−	5.79206i	0.211048	−	0.264646i	0.876076	+	0.482172i	$0.160152\pi$
$480$	2.33217	−	9.85364i	0.106449	−	0.449755i
$481$	0.344285	−	0.274558i	0.0156980	−	0.0125188i
$482$	−0.889325	−	1.11885i	−0.0405077	−	0.0509622i
$483$	0.405321	−	0.972694i	0.0184427	−	0.0442591i
$484$	−21.6538	−	10.5135i	−0.984266	−	0.477886i
$485$	4.59060	+	2.21072i	0.208448	+	0.100383i
$486$	1.37825	+	0.316899i	0.0625187	+	0.0143748i
$487$	−16.6038	+	34.4781i	−0.752390	+	1.56235i	0.0727018	+	0.997354i	$0.476838\pi$
$487$	−16.6038	+	34.4781i	−0.752390	+	1.56235i	−0.825091	+	0.564999i	$0.808876\pi$
$488$	−6.20597	−	3.02544i	−0.280931	−	0.136955i
$489$		−	16.3923i		−	0.741283i
$490$	−16.6914	−	5.95023i	−0.754041	−	0.268804i
$491$			26.3636i			1.18977i	0.803809	+	0.594887i	$0.202803\pi$
$491$			26.3636i			1.18977i	−0.803809	+	0.594887i	$0.797197\pi$
$492$	−0.0416366	+	13.0026i	−0.00187712	+	0.586201i
$493$	15.6500	−	32.4976i	0.704842	−	1.46362i
$494$	−2.25677	+	9.81508i	−0.101537	+	0.441601i
$495$	7.74046	+	3.72761i	0.347908	+	0.167544i
$496$	1.66652	+	7.52326i	0.0748288	+	0.337804i
$497$	0.236349	+	4.37421i	0.0106017	+	0.196210i
$498$	6.84631	−	5.44184i	0.306791	−	0.243855i
$499$	11.1745	−	8.91138i	0.500240	−	0.398928i	−0.340603	−	0.940207i	$-0.610631\pi$
$499$	11.1745	−	8.91138i	0.500240	−	0.398928i	0.840843	+	0.541279i	$0.182060\pi$
$500$	10.6262	−	21.8861i	0.475220	−	0.978774i
$501$	9.74892	−	12.2248i	0.435550	−	0.546162i
$502$	31.1961	+	24.9599i	1.39235	+	1.11401i
$503$	−0.975827	+	1.22365i	−0.0435100	+	0.0545598i	−0.803110	−	0.595830i	$-0.796823\pi$
$503$	−0.975827	+	1.22365i	−0.0435100	+	0.0545598i	0.759600	+	0.650390i	$0.225395\pi$
$504$	−7.20502	+	2.02181i	−0.320937	+	0.0900588i
$505$	−10.3972	−	13.0376i	−0.462668	−	0.580168i
$506$	0.00432836	−	2.70339i	0.000192419	−	0.120180i
$507$	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	$0.967474\pi$
$510$	−11.2335	−	8.98784i	−0.497426	−	0.397988i
$511$	−12.8647	−	23.3939i	−0.569099	−	1.03488i
$512$	17.4857	+	14.3614i	0.772766	+	0.634691i
$513$	−1.48126	−	6.48981i	−0.0653991	−	0.286532i
$514$	−4.21561	−	18.6071i	−0.185943	−	0.820723i
$515$	−14.0608	+	11.2131i	−0.619592	+	0.494108i
$516$	−18.5320	−	14.8761i	−0.815826	−	0.654884i
$517$	−7.86382	+	1.79487i	−0.345850	+	0.0789381i
$518$	−0.0806345	−	1.53804i	−0.00354288	−	0.0675775i
$519$	−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	$-0.366468\pi$
$522$	7.00861	+	5.60756i	0.306758	+	0.245436i
$523$	−32.2861	+	15.5482i	−1.41177	+	0.679874i	−0.975512	−	0.219946i	$-0.929412\pi$
$523$	−32.2861	+	15.5482i	−1.41177	+	0.679874i	−0.436261	+	0.899820i	$0.643698\pi$
$524$	7.29855	−	31.5116i	0.318838	−	1.37659i
$525$	−4.74441	+	0.256352i	−0.207063	+	0.0111881i
$526$	−36.3775	+	17.4468i	−1.58614	+	0.760717i
$527$	10.6734	+	2.43614i	0.464941	+	0.106120i
$528$	−15.0861	+	11.8735i	−0.656537	+	0.516727i
$529$	−20.5794	+	9.91050i	−0.894755	+	0.430891i
$530$	−2.10945	−	9.31081i	−0.0916288	−	0.404436i
$531$	7.27403	+	3.50299i	0.315666	+	0.152017i
$532$	23.3313	+	26.3890i	1.01154	+	1.14411i
$533$	6.26639	−	3.01774i	0.271428	−	0.130713i
$534$	−7.55404	−	9.50364i	−0.326895	−	0.411263i
$535$	−5.06571	−	22.1943i	−0.219010	−	0.959545i
$536$	−6.96102	+	29.8369i	−0.300670	+	1.28876i
$537$	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	$0.261491\pi$
$542$	33.9301	−	26.9696i	1.45742	−	1.15844i
$543$	10.6496	−	2.43071i	0.457019	−	0.104312i
$544$	29.0754	−	13.7163i	1.24660	−	0.588082i
$545$	−2.04474	−	4.24595i	−0.0875872	−	0.181877i
$546$	2.65617	+	2.99460i	0.113673	+	0.128157i
$547$	1.55296	−	3.22474i	0.0663996	−	0.137880i	−0.865128	−	0.501552i	$-0.832763\pi$
$547$	1.55296	−	3.22474i	0.0663996	−	0.137880i	0.931527	+	0.363672i	$0.118477\pi$
$548$	7.14000	−	30.8270i	0.305006	−	1.31687i
$549$	−1.05910	−	2.19925i	−0.0452015	−	0.0938618i
$550$	−10.9907	+	5.27118i	−0.468645	+	0.224764i
$551$	9.40132	−	41.1899i	0.400510	−	1.75475i
$552$	−1.01260	−	0.493649i	−0.0430992	−	0.0210111i
$553$	−19.9216	−	3.42827i	−0.847151	−	0.145785i
$554$	−37.1600	+	8.41897i	−1.57878	+	0.357688i
$555$	0.319691	+	0.663844i	0.0135701	+	0.0281786i
$556$	20.2547	−	9.67436i	0.858989	−	0.410284i
$557$	−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
$560$	−7.39839	+	17.4393i	−0.312639	+	0.736946i
$561$	6.06951	+	26.5923i	0.256255	+	1.12273i
$562$	16.1523	+	3.71388i	0.681344	+	0.156660i
$563$	4.98616	+	6.25244i	0.210142	+	0.263509i	0.875721	−	0.482818i	$-0.160387\pi$
$563$	4.98616	+	6.25244i	0.210142	+	0.263509i	−0.665579	+	0.746327i	$0.731815\pi$
$564$	−0.758421	+	3.27449i	−0.0319353	+	0.137881i
$565$	−12.1997	+	2.78450i	−0.513246	+	0.117145i
$566$	4.94280	+	1.13649i	0.207761	+	0.0477703i
$567$	−2.44220	−	1.01766i	−0.102563	−	0.0427379i
$568$	4.68299	+	0.0224938i	0.196494	+	0.000943819i
$569$	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	0.256655	−	0.966503i	$-0.417379\pi$
$571$	1.63790	+	0.373841i	0.0685442	+	0.0156448i	−0.188111	+	0.982148i	$0.560237\pi$
$572$	9.23790	+	4.48524i	0.386256	+	0.187537i
$573$	−11.2655	+	8.98394i	−0.470623	+	0.375309i
$574$	4.16392	−	23.9667i	0.173799	−	1.00035i
$575$	−0.559209	−	0.445954i	−0.0233206	−	0.0185976i
$576$	1.70516	+	7.81616i	0.0710484	+	0.325674i
$577$	−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	$0.956578\pi$
$578$	0.0346373	−	21.6336i	0.00144072	−	0.899841i
$579$	15.8248	+	19.8436i	0.657655	+	0.824673i
$580$	22.1684	−	4.98516i	0.920492	−	0.206997i
$581$	−14.3367	+	7.88401i	−0.594788	+	0.327084i
$582$	−4.02547	−	0.00644512i	−0.166861	−	0.000267159i
$583$	−7.85340	+	16.3077i	−0.325254	+	0.675398i
$584$	−25.7739	+	12.2599i	−1.06653	+	0.507317i
$585$	−1.72533	−	0.830877i	−0.0713338	−	0.0343526i
$586$	41.4223	−	19.8663i	1.71114	−	0.820668i
$587$	−43.8309			−1.80910			−0.904548	−	0.426373i	$-0.859791\pi$
$587$	−43.8309			−1.80910			−0.904548	+	0.426373i	$0.859791\pi$
$588$	13.9233	−	1.46393i	0.574185	−	0.0603714i
$589$	12.8235			0.528384
$590$	18.4282	−	8.83821i	0.758675	−	0.363863i
$591$	12.1007	+	5.82738i	0.497756	+	0.239706i
$592$	−1.64646	−	0.0105446i	−0.0676689	−	0.000433381i
$593$	−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	$0.918907\pi$
$594$	−6.78757	−	0.0108675i	−0.278497	−	0.000445898i
$595$	17.8919	+	20.1067i	0.733498	+	0.824295i
$596$	5.84791	+	26.0049i	0.239540	+	1.06520i
$597$	−5.52055	−	6.92255i	−0.225941	−	0.283321i
$598$	−0.000964784		0.602581i	−3.94529e−5		0.0246414i
$599$	23.7351	+	18.9281i	0.969791	+	0.773383i	0.973986	−	0.226609i	$-0.0727638\pi$
$599$	23.7351	+	18.9281i	0.969791	+	0.773383i	−0.00419481	+	0.999991i	$0.501335\pi$
$600$	−0.0243975	+	5.07933i	−0.000996024	+	0.207363i
$601$	−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	$0.738402\pi$
$602$	29.5013	+	33.2602i	1.20238	+	1.35559i
$603$	−8.46896	+	6.75377i	−0.344883	+	0.275035i
$604$	−17.6046	+	36.2589i	−0.716322	+	1.47535i
$605$	−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	$-0.452948\pi$
$607$	7.25728			0.294564			0.147282	+	0.989095i	$0.452948\pi$
$608$	29.6277	−	23.2417i	1.20156	−	0.942575i
$609$	−11.1629	−	12.5447i	−0.452342	−	0.508336i
$610$	−6.02214	−	1.38466i	−0.243829	−	0.0560634i
$611$	1.75283	−	0.400072i	0.0709119	−	0.0161852i
$612$	11.0730	+	2.56468i	0.447600	+	0.103671i
$613$	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	$0.775238\pi$
$614$	−0.157418	−	0.0361948i	−0.00635285	−	0.00146070i
$615$	2.58958	+	11.3457i	0.104422	+	0.457503i
$616$	31.5545	−	17.1554i	1.27137	−	0.691212i
$617$	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	$-0.350501\pi$
$619$	22.5205			0.905173			0.452587	+	0.891720i	$0.350501\pi$
$620$	2.97241	+	6.22318i	0.119375	+	0.249929i
$621$	−0.172810	−	0.358843i	−0.00693461	−	0.0143999i
$622$	9.35619	−	2.11973i	0.375149	−	0.0849936i
$623$	10.9441	+	19.9014i	0.438467	+	0.797333i
$624$	3.36266	−	2.64658i	0.134614	−	0.105948i
$625$	2.84733	−	12.4750i	0.113893	−	0.498999i
$626$	4.09803	−	1.96543i	0.163790	−	0.0785545i
$627$	13.8622	+	28.7852i	0.553603	+	1.14957i
$628$	26.5038	+	6.13868i	1.05762	+	0.244960i
$629$	−1.01498	+	2.10762i	−0.0404697	+	0.0840362i
$630$	−5.87394	+	3.21794i	−0.234023	+	0.128206i
$631$	−12.3271	−	25.5976i	−0.490735	−	1.01902i	−0.988431	−	0.151671i	$-0.951535\pi$
$631$	−12.3271	−	25.5976i	−0.490735	−	1.01902i	0.497696	−	0.867352i	$-0.334180\pi$
$632$	−4.90984	+	21.0449i	−0.195303	+	0.837123i
$633$	−8.59297	+	1.96129i	−0.341540	+	0.0779542i
$634$	−15.4025	+	12.2428i	−0.611712	+	0.486224i
$635$	−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
$640$	18.1466	+	8.99084i	0.717306	+	0.355394i
$641$	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	$0.646885\pi$
$642$	11.1914	+	14.0797i	0.441688	+	0.555682i
$643$	34.4948	−	16.6118i	1.36034	−	0.655106i	0.395629	−	0.918410i	$-0.370527\pi$
$643$	34.4948	−	16.6118i	1.36034	−	0.655106i	0.964713	+	0.263304i	$0.0848122\pi$
$644$	1.71230	+	1.22870i	0.0674742	+	0.0484174i
$645$	−19.1628	−	9.22832i	−0.754535	−	0.363365i
$646$	−11.8214	−	52.1781i	−0.465109	−	2.05292i
$647$	8.89985	−	4.28594i	0.349889	−	0.168498i	−0.250681	−	0.968070i	$-0.580655\pi$
$647$	8.89985	−	4.28594i	0.349889	−	0.168498i	0.600570	+	0.799572i	$0.294940\pi$
$648$	−1.23943	+	2.54240i	−0.0486896	+	0.0998749i
$649$	−37.7779	−	8.62256i	−1.48291	−	0.338465i
$650$	2.44980	−	1.17494i	0.0960893	−	0.0460848i
$651$	2.95817	−	4.15048i	0.115940	−	0.162670i
$652$	31.9390	+	7.39755i	1.25083	+	0.289711i
$653$	−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	$0.561198\pi$
$654$	2.90724	+	2.32607i	0.113682	+	0.0909566i
$655$		−	28.9497i		−	1.13116i
$656$	−25.3157	−	5.94897i	−0.988412	−	0.232268i
$657$	−9.83782	−	2.24542i	−0.383810	−	0.0876021i
$658$	2.42798	−	5.80053i	0.0946527	−	0.226128i
$659$	−28.5481	+	6.51591i	−1.11207	+	0.253824i	−0.738818	−	0.673905i	$-0.764616\pi$
$659$	−28.5481	+	6.51591i	−1.11207	+	0.253824i	−0.373256	+	0.927728i	$0.621759\pi$
$660$	−10.7561	+	13.3995i	−0.418680	+	0.521574i
$661$	−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	$0.341521\pi$
$662$	−3.53978	−	15.6241i	−0.137577	−	0.607246i
$663$	−1.35288	−	5.92737i	−0.0525416	−	0.230200i
$664$	7.51337	+	15.7953i	0.291575	+	0.612977i
$665$	25.6725	+	18.2975i	0.995535	+	0.709548i
$666$	−0.454540	−	0.363675i	−0.0176130	−	0.0140921i
$667$		−	2.52786i		−	0.0978792i
$668$	19.4195	+	24.5118i	0.751361	+	0.948391i
$669$	5.11270	−	22.4002i	0.197668	−	0.866041i
$670$	−0.0439040	+	27.4214i	−0.00169616	+	1.05938i
$671$	7.30457	+	9.15964i	0.281990	+	0.353604i
$672$	−0.687842	−	14.9508i	−0.0265341	−	0.576740i
$673$	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	$-0.105499\pi$
$674$	1.48584	+	1.18881i	0.0572323	+	0.0457914i
$675$	−1.11968	+	1.40404i	−0.0430967	+	0.0540415i
$676$	21.3298	+	10.3562i	0.820378	+	0.398315i
$677$	−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	$0.438369\pi$
$678$	7.73929	−	6.15163i	0.297226	−	0.236252i
$679$	7.42188	+	1.27722i	0.284825	+	0.0490152i
$680$	22.5816	−	17.8314i	0.865964	−	0.683804i
$681$	10.3381	+	4.97856i	0.396157	+	0.190779i
$682$	2.93001	−	12.7431i	0.112196	−	0.487959i
$683$	9.66039	−	20.0600i	0.369644	−	0.767575i	−0.630317	−	0.776338i	$-0.717075\pi$
$683$	9.66039	−	20.0600i	0.369644	−	0.767575i	0.999962	+	0.00876311i	$0.00278942\pi$
$684$	13.3133	+	0.0426317i	0.509048	+	0.00163006i
$685$		−	28.3208i		−	1.08208i
$686$	−26.1379	−	1.67670i	−0.997949	−	0.0640168i
$687$			12.7961i			0.488202i
$688$	37.3481	−	29.3948i	1.42388	−	1.12067i
$689$	1.75051	−	3.63497i	0.0666890	−	0.138481i
$690$	−0.982608	−	0.225930i	−0.0374072	−	0.00860099i
$691$	−20.1382	−	9.69803i	−0.766092	−	0.368930i	0.00967251	−	0.999953i	$-0.496921\pi$
$691$	−20.1382	−	9.69803i	−0.766092	−	0.368930i	−0.775764	+	0.631023i	$0.782635\pi$
$692$	4.47925	−	9.22557i	0.170276	−	0.350704i
$693$	12.5144	+	2.15359i	0.475384	+	0.0818083i
$694$	1.71351	+	2.15575i	0.0650441	+	0.0818311i
$695$	15.7068	−	12.5258i	0.595795	−	0.475130i
$696$	−14.0887	+	11.1251i	−0.534033	+	0.421696i
$697$	−23.0364	+	28.8867i	−0.872565	+	1.09416i
$698$	27.0651	−	33.8274i	1.02443	−	1.28039i
$699$	−2.06229	+	2.58603i	−0.0780030	+	0.0978127i
$700$	1.64159	−	9.35980i	0.0620463	−	0.353767i
$701$	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	$0.655189\pi$
$702$	1.51294	+	0.00242234i	0.0571021	+	9.14254e-5i
$703$	−0.609718	+	2.67135i	−0.0229960	+	0.100752i
$704$	−16.3265	−	34.7523i	−0.615326	−	1.30978i
$705$			3.00828i			0.113298i
$706$	−9.58092	+	11.9747i	−0.360583	+	0.450674i
$707$	−20.0715	−	14.3055i	−0.754866	−	0.538015i
$708$	−10.1079	+	12.5920i	−0.379880	+	0.473238i
$709$	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	$0.702540\pi$
$710$	4.08777	−	0.926124i	0.153411	−	0.0347568i
$711$	−5.97344	+	4.76366i	−0.224022	+	0.178651i
$712$	21.9261	−	10.4296i	0.821716	−	0.390866i
$713$	0.748023	−	0.170731i	0.0280137	−	0.00639394i
$714$	−19.6151	−	8.21047i	−0.734075	−	0.307269i
$715$	8.96057	+	2.04519i	0.335106	+	0.0764859i
$716$	−16.6684	+	13.2055i	−0.622926	+	0.493512i
$717$			22.5315i			0.841454i
$718$	−12.4348	+	15.5417i	−0.464064	+	0.580010i
$719$	−6.94878	+	3.34636i	−0.259146	+	0.124798i	−0.558946	−	0.829204i	$-0.688794\pi$
$719$	−6.94878	+	3.34636i	−0.259146	+	0.124798i	0.299800	+	0.954002i	$0.403080\pi$
$720$	3.06526	+	6.47077i	0.114236	+	0.241151i
$721$	−15.4282	+	21.6466i	−0.574575	+	0.806162i
$722$	−15.4797	−	32.2761i	−0.576095	−	1.20119i
$723$	0.985286	+	0.224885i	0.0366432	+	0.00836356i
$724$	−0.0699577	+	21.8469i	−0.00259996	+	0.811934i
$725$	−10.2692	+	4.94537i	−0.381387	+	0.183666i
$726$	16.6002	−	3.76093i	0.616091	−	0.139581i
$727$	−23.9353	−	11.5266i	−0.887711	−	0.427499i	−0.0662759	−	0.997801i	$-0.521112\pi$
$727$	−23.9353	−	11.5266i	−0.887711	−	0.427499i	−0.821435	+	0.570302i	$0.806826\pi$
$728$	−7.03343	+	3.82391i	−0.260676	+	0.141724i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−19.9970	+	15.8948i	−0.740123	+	0.588293i
$731$	−15.0261	−	65.8336i	−0.555760	−	2.43494i
$732$	4.76303	−	1.07109i	0.176047	−	0.0395888i
$733$	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
$738$	−5.72101	−	7.19753i	−0.210593	−	0.264945i
$739$	−19.8276	+	4.52553i	−0.729372	+	0.166474i	−0.571052	−	0.820914i	$-0.693465\pi$
$739$	−19.8276	+	4.52553i	−0.729372	+	0.166474i	−0.158319	+	0.987388i	$0.550608\pi$
$740$	−1.43772	+	0.323310i	−0.0528516	+	0.0118851i
$741$	−3.08986	−	6.41616i	−0.113509	−	0.235704i
$742$	−6.77961	−	12.3753i	−0.248887	−	0.454312i
$743$	7.51060	−	15.5959i	0.275537	−	0.572159i	−0.716575	−	0.697510i	$-0.754291\pi$
$743$	7.51060	−	15.5959i	0.275537	−	0.572159i	0.992112	+	0.125351i	$0.0400056\pi$
$744$	−4.24360	−	3.41763i	−0.155578	−	0.125296i
$745$	10.3507	+	21.4934i	0.379220	+	0.787458i
$746$	0.0537075	+	0.111983i	0.00196637	+	0.00409999i
$747$	−1.37609	+	6.02903i	−0.0503484	+	0.220591i
$748$	−54.5520	−	0.174685i	−1.99462	−	0.00638713i
$749$	−16.2138	−	29.4841i	−0.592438	−	1.07732i
$750$	3.80127	+	16.7782i	0.138803	+	0.612654i
$751$	10.1486	+	21.0739i	0.370329	+	0.768997i	0.999969	−	0.00789079i	$-0.00251174\pi$
$751$	10.1486	+	21.0739i	0.370329	+	0.768997i	−0.629640	+	0.776887i	$0.716797\pi$
$752$	−6.03783	−	2.95545i	−0.220177	−	0.107774i
$753$	−28.2506			−1.02951
$754$	8.64479	+	4.18017i	0.314825	+	0.152233i
$755$	−8.02741	+	35.1704i	−0.292147	+	1.27998i
$756$	3.08496	−	4.29919i	0.112199	−	0.156360i
$757$	−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	$-0.279215\pi$
$758$	−6.59435	+	28.6800i	−0.239517	+	1.04170i
$759$	1.19186	+	1.49454i	0.0432616	+	0.0542484i
$760$	21.1395	−	26.2484i	0.766809	−	0.952130i
$761$	−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	$0.467863\pi$
$762$	5.62467	−	24.4627i	0.203760	−	0.886189i
$763$	−4.63047	−	5.20366i	−0.167634	−	0.188385i
$764$	−12.4206	−	26.0042i	−0.449360	−	0.940800i
$765$	10.1728			0.367798
$766$	1.22446	−	2.53224i	0.0442415	−	0.0914934i
$767$	8.42062	+	1.92195i	0.304051	+	0.0693977i
$768$	−15.9987	−	0.204933i	−0.577303	−	0.00739489i
$769$	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	$0.277149\pi$
$770$	24.0486	−	21.3308i	0.866653	−	0.768707i
$771$	10.5474	+	8.41128i	0.379856	+	0.302925i
$772$	−45.8052	+	21.8782i	−1.64857	+	0.787414i
$773$	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	$0.481860\pi$
$774$	16.8038	+	0.0269043i	0.603999	+	0.000967054i
$775$	−2.15697	−	2.70475i	−0.0774806	−	0.0971576i
$776$	1.82918	−	7.84040i	0.0656639	−	0.281454i
$777$	0.723962	+	0.813578i	0.0259720	+	0.0291870i
$778$	−0.0649136	+	40.5435i	−0.00232727	+	1.45355i
$779$	−18.7773	+	38.9916i	−0.672768	+	1.39702i
$780$	2.39751	−	2.98672i	0.0858448	−	0.106942i
$781$	−7.15967	−	3.44792i	−0.256193	−	0.123376i
$782$	−1.38427	−	2.88627i	−0.0495012	−	0.103213i
$783$	−6.34686			−0.226818
$784$	−3.43098	+	27.7890i	−0.122535	+	0.992464i
$785$	24.3491			0.869057
$786$	9.89074	+	20.6227i	0.352791	+	0.735588i
$787$	−41.4402	−	19.9565i	−1.47718	−	0.711374i	−0.490113	−	0.871659i	$-0.663044\pi$
$787$	−41.4402	−	19.9565i	−1.47718	−	0.711374i	−0.987071	+	0.160285i	$0.948759\pi$
$788$	−16.8150	+	20.9474i	−0.599010	+	0.746221i
$789$	12.3779	−	25.7030i	0.440666	−	0.915052i
$790$	−0.0309669	+	19.3412i	−0.00110175	+	0.688129i
$791$	−16.2067	+	8.91234i	−0.576244	+	0.316886i
$792$	3.08429	−	13.2201i	0.109596	−	0.469757i
$793$	−1.62817	−	2.04167i	−0.0578182	−	0.0725017i
$794$	−43.4840	−	0.0696217i	−1.54319	−	0.00247078i
$795$	5.27783	+	4.20893i	0.187185	+	0.149275i
$796$	15.9794	−	7.63232i	0.566374	−	0.270520i
$797$	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	$0.710614\pi$
$798$	−24.5395	−	4.26344i	−0.868689	−	0.150924i
$799$	−7.46720	+	5.95489i	−0.264170	+	0.210669i
$800$	−9.88566	−	2.33975i	−0.349511	−	0.0827228i
$801$	8.36914	+	1.91020i	0.295709	+	0.0674937i
$802$	−11.2863	+	23.3405i	−0.398532	+	0.824183i
$803$	48.4313			1.70910
$804$	−9.33729	−	19.5490i	−0.329301	−	0.689439i
$805$	1.74114	+	0.725532i	0.0613671	+	0.0255716i
$806$	−0.653093	+	2.84042i	−0.0230042	+	0.100049i
$807$	−27.1621	+	6.19958i	−0.956152	+	0.218235i
$808$	−16.5275	+	20.5218i	−0.581434	+	0.721954i
$809$	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	$0.775037\pi$
$810$	−0.567255	+	2.46709i	−0.0199313	+	0.0866848i
$811$	−3.94537	−	17.2858i	−0.138541	−	0.606987i	−0.995756	−	0.0920291i	$-0.970665\pi$
$811$	−3.94537	−	17.2858i	−0.138541	−	0.606987i	0.857216	−	0.514958i	$-0.172192\pi$
$812$	29.4799	−	16.0888i	1.03454	−	0.564605i
$813$	−6.81985	+	29.8797i	−0.239183	+	1.04793i
$814$	2.51529	+	1.21626i	0.0881608	+	0.0426300i
$815$	29.3424			1.02782
$816$	−9.99414	+	20.4175i	−0.349865	+	0.714755i
$817$	−34.3182	−	71.2625i	−1.20064	−	2.49316i
$818$	−7.24923	−	31.9970i	−0.253463	−	1.11875i
$819$	−2.78945	−	0.480032i	−0.0974711	−	0.0167737i
$820$	−23.2748	−	0.0745303i	−0.812793	−	0.00260271i
$821$	−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	$0.113695\pi$
$822$	9.67588	+	20.1747i	0.337485	+	0.703675i
$823$	2.09788	+	4.35629i	0.0731274	+	0.151851i	0.934328	−	0.356415i	$-0.116001\pi$
$823$	2.09788	+	4.35629i	0.0731274	+	0.151851i	−0.861200	+	0.508266i	$0.830287\pi$
$824$	22.1322	+	17.8245i	0.771013	+	0.620944i
$825$	3.73972	−	7.76562i	0.130200	−	0.270364i
$826$	22.5995	−	20.0454i	0.786337	−	0.697469i
$827$	−4.13521	−	8.58685i	−0.143795	−	0.298594i	0.816615	−	0.577182i	$-0.195848\pi$
$827$	−4.13521	−	8.58685i	−0.143795	−	0.298594i	−0.960411	+	0.278588i	$0.910134\pi$
$828$	0.777163	−	0.174766i	0.0270083	−	0.00607354i
$829$	−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	$0.571010\pi$
$830$	9.74099	+	12.2550i	0.338115	+	0.425378i
$831$	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
$836$	−62.3414	+	14.0191i	−2.15612	+	0.484862i
$837$	−0.428666	−	1.87811i	−0.0148169	−	0.0649169i
$838$	2.14230	−	1.70283i	0.0740047	−	0.0588232i
$839$	11.4307	−	5.50475i	0.394633	−	0.190045i	−0.226034	−	0.974119i	$-0.572576\pi$
$839$	11.4307	−	5.50475i	0.394633	−	0.190045i	0.620667	+	0.784074i	$0.286862\pi$
$840$	−3.61909	−	12.8971i	−0.124870	−	0.444993i
$841$	−10.1653	−	4.89535i	−0.350527	−	0.168805i
$842$	44.2355	−	10.0220i	1.52446	−	0.345380i
$843$	−10.5588	+	5.08487i	−0.363666	+	0.175132i
$844$	0.0564474	−	17.6278i	0.00194300	−	0.606774i
$845$	20.6895	+	4.72225i	0.711741	+	0.162450i
$846$	−1.02779	−	2.14299i	−0.0353360	−	0.0736775i
$847$	−31.7968	+	1.71806i	−1.09255	+	0.0590333i
$848$	−13.6327	+	6.45795i	−0.468150	+	0.221767i
$849$	−3.23113	+	1.55603i	−0.110892	+	0.0534028i
$850$	−9.01705	+	11.2700i	−0.309282	+	0.386556i
$851$			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	$0.500157\pi$
$854$	−9.12081	+	0.478176i	−0.312108	+	0.0163628i
$855$	11.6169	−	2.65148i	0.397289	−	0.0906785i
$856$	−32.4837	+	15.4515i	−1.11027	+	0.528123i
$857$	−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	$0.323946\pi$
$858$	−7.08193	+	1.60448i	−0.241773	+	0.0547760i
$859$	−3.58676	−	15.7146i	−0.122379	−	0.536176i	−0.998533	−	0.0541454i	$-0.982757\pi$
$859$	−3.58676	−	15.7146i	−0.122379	−	0.536176i	0.876154	−	0.482031i	$-0.160101\pi$
$860$	26.6285	−	33.1726i	0.908025	−	1.13118i
$861$	8.28846	+	15.0722i	0.282470	+	0.513660i
$862$	17.2172	−	21.5189i	0.586419	−	0.732936i
$863$			41.6121i			1.41649i	0.705965	+	0.708247i	$0.250514\pi$
$863$			41.6121i			1.41649i	−0.705965	+	0.708247i	$0.749486\pi$
$864$	−4.39433	−	3.56228i	−0.149498	−	0.121191i
$865$	2.04246	−	8.94862i	0.0694458	−	0.304262i
$866$	−1.29988	−	0.00208122i	−0.0441717	−	7.07227e-5i
$867$	9.53772	+	11.9599i	0.323918	+	0.406180i
$868$	6.75191	+	7.63681i	0.229175	+	0.259210i
$869$	22.8634	−	28.6698i	0.775588	−	0.972556i
$870$	−10.0376	+	12.5455i	−0.340308	+	0.425333i
$871$	−7.22524	+	9.06017i	−0.244818	+	0.306992i
$872$	−5.84415	+	4.61481i	−0.197908	+	0.156277i
$873$	2.22544	−	1.77473i	0.0753196	−	0.0600654i
$874$	−2.33305	−	2.93519i	−0.0789167	−	0.0992841i
$875$	−1.73649	−	32.1378i	−0.0587039	−	1.08646i
$876$	8.81466	−	18.1549i	0.297820	−	0.613397i
$877$	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	$0.332625\pi$
$878$	−21.5114	−	4.94608i	−0.725974	−	0.166922i
$879$	−14.0945	+	29.2674i	−0.475394	+	0.987166i
$880$	−21.2538	−	27.0044i	−0.716464	−	0.910317i
$881$		−	16.7694i		−	0.564976i	−0.959271	−	0.282488i	$-0.908840\pi$
$881$		−	16.7694i		−	0.564976i	0.959271	−	0.282488i	$-0.0911598\pi$
$882$	−7.04077	+	6.95900i	−0.237075	+	0.234322i
$883$		−	15.5225i		−	0.522375i	−0.965288	−	0.261187i	$-0.915886\pi$
$883$		−	15.5225i		−	0.522375i	0.965288	−	0.261187i	$-0.0841141\pi$
$884$	12.1595	+	0.0389370i	0.408970	+	0.00130959i
$885$	−6.27042	+	13.0207i	−0.210778	+	0.437684i
$886$	0.910159	−	3.95844i	0.0305774	−	0.132986i
$887$	27.3512	+	13.1717i	0.918364	+	0.442261i	0.832487	−	0.554045i	$-0.186916\pi$
$887$	27.3512	+	13.1717i	0.918364	+	0.442261i	0.0858774	+	0.996306i	$0.472631\pi$
$888$	0.913719	−	0.721514i	0.0306624	−	0.0242124i
$889$	−18.0626	+	43.3469i	−0.605801	+	1.45381i
$890$	17.0117	−	13.5219i	0.570233	−	0.453254i
$891$	3.75243	−	2.99247i	0.125711	−	0.100251i
$892$	41.3377	+	20.0705i	1.38409	+	0.672011i
$893$	−6.97509	+	8.74649i	−0.233412	+	0.292690i
$894$	−14.7167	−	11.7748i	−0.492201	−	0.393808i
$895$	−11.8667	+	14.8804i	−0.396661	+	0.497397i
$896$	29.4409	+	5.40685i	0.983551	+	0.180630i
$897$	−0.265662	−	0.333130i	−0.00887021	−	0.0111229i
$898$	−0.00999652	+	6.24358i	−0.000333588	+	0.208351i
$899$	2.72068	−	11.9201i	0.0907398	−	0.397557i
$900$	−2.23037	−	2.81524i	−0.0743455	−	0.0938412i
$901$			21.4322i			0.714012i
$902$	34.4567	+	27.5687i	1.14728	+	0.917937i
$903$	−30.9816	−	5.33158i	−1.03100	−	0.177424i
$904$	8.49336	+	17.8555i	0.282485	+	0.593866i
$905$	4.35101	+	19.0630i	0.144633	+	0.633677i
$906$	−6.29760	−	27.7967i	−0.209224	−	0.923483i
$907$	11.3186	−	9.02627i	0.375827	−	0.299712i	−0.417299	−	0.908769i	$-0.637023\pi$
$907$	11.3186	−	9.02627i	0.375827	−	0.299712i	0.793127	+	0.609057i	$0.208452\pi$
$908$	−14.3657	+	17.8962i	−0.476744	+	0.593907i
$909$	−9.08241	+	2.07300i	−0.301245	+	0.0687571i
$910$	−5.36040	+	4.75459i	−0.177695	+	0.157613i
$911$	28.5197	+	6.50944i	0.944901	+	0.215667i	0.667097	−	0.744971i	$-0.267536\pi$
$911$	28.5197	+	6.50944i	0.944901	+	0.215667i	0.277803	+	0.960638i	$0.410394\pi$
$912$	−6.09115	+	25.9207i	−0.201698	+	0.858322i
$913$		−	29.6807i		−	0.982289i
$914$	31.8912	+	25.5160i	1.05487	+	0.843996i
$915$	3.93670	−	1.89582i	0.130143	−	0.0626738i
$916$	−24.9322	−	5.77467i	−0.823783	−	0.190800i
$917$	−11.7584	−	41.1421i	−0.388298	−	1.35863i
$918$	−7.24673	+	3.47556i	−0.239178	+	0.114711i
$919$	−9.31513	−	2.12612i	−0.307278	−	0.0701342i	0.0661015	−	0.997813i	$-0.478944\pi$
$919$	−9.31513	−	2.12612i	−0.307278	−	0.0701342i	−0.373379	+	0.927679i	$0.621801\pi$
$920$	0.883640	−	1.81258i	0.0291328	−	0.0597588i
$921$	0.102905	−	0.0495562i	0.00339082	−	0.00163293i
$922$	10.4083	+	45.9407i	0.342779	+	1.51298i
$923$	1.59588	+	0.768534i	0.0525290	+	0.0252966i
$924$	−9.84367	+	23.4115i	−0.323833	+	0.770182i
$925$	0.666001	−	0.320729i	0.0218980	−	0.0105455i
$926$	−11.0033	−	13.8431i	−0.361589	−	0.454911i
$927$	2.23568	+	9.79516i	0.0734294	+	0.321715i
$928$	−15.3184	−	32.4714i	−0.502851	−	1.06593i
$929$	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
$934$	25.2602	−	20.0782i	0.826538	−	0.656980i
$935$	−47.6007	+	10.8645i	−1.55671	+	0.355308i
$936$	−0.687483	+	2.94674i	−0.0224711	+	0.0963173i
$937$	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	$0.854529\pi$
$938$	11.0753	+	38.9879i	0.361620	+	1.27300i
$939$	−1.39441	+	2.89552i	−0.0455048	+	0.0944917i
$940$	−5.86140	−	1.35759i	−0.191178	−	0.0442796i
$941$	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	$0.856660\pi$
$942$	−17.3454	+	8.31892i	−0.565144	+	0.271045i
$943$	−0.576192	+	2.52446i	−0.0187634	+	0.0822078i
$944$	−19.9730	−	25.3771i	−0.650067	−	0.825955i
$945$	1.82164	−	4.37159i	0.0592579	−	0.142208i
$946$	−78.6570	+	17.8205i	−2.55736	+	0.579394i
$947$	−19.0424	−	39.5419i	−0.618795	−	1.28494i	−0.941044	−	0.338285i	$-0.890153\pi$
$947$	−19.0424	−	39.5419i	−0.618795	−	1.28494i	0.322249	−	0.946655i	$-0.395561\pi$
$948$	−6.58590	−	13.7885i	−0.213900	−	0.447831i
$949$	−10.7952			−0.350428
$950$	−7.35961	+	15.2200i	−0.238777	+	0.493802i
$951$	3.09586	−	13.5638i	0.100390	−	0.439838i
$952$	24.8494	−	34.5131i	0.805373	−	1.11858i
$953$	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	$0.806096\pi$
$954$	−5.19772	−	1.19510i	−0.168282	−	0.0386929i
$955$	−16.0814	−	20.1655i	−0.520382	−	0.652539i
$956$	−43.9008	−	10.1681i	−1.41985	−	0.328859i
$957$	29.6983	−	6.77844i	0.960009	−	0.219116i
$958$	−10.2105	−	2.34769i	−0.329887	−	0.0758505i
$959$	−11.5030	−	40.2483i	−0.371451	−	1.29969i
$960$	−13.9911	+	3.05227i	−0.451560	+	0.0985116i
$961$	−27.2890			−0.880289
$962$	−0.560653	−	0.271103i	−0.0180762	−	0.00874071i
$963$	−12.3989	−	2.82998i	−0.399550	−	0.0911947i
$964$	−0.882814	+	1.81826i	−0.0284335	+	0.0585623i
$965$	−35.5205	+	28.3266i	−1.14344	+	0.911867i
$966$	−1.48820	+	0.0780219i	−0.0478822	+	0.00251031i
$967$	−40.5683	−	32.3522i	−1.30459	−	1.04038i	−0.996016	−	0.0891746i	$-0.971577\pi$
$967$	−40.5683	−	32.3522i	−1.30459	−	1.04038i	−0.308573	−	0.951201i	$-0.599851\pi$
$968$	−0.163511	+	34.0414i	−0.00525544	+	1.09413i
$969$	29.5771	+	23.5870i	0.950153	+	0.757722i
$970$	0.0115369	−	7.20566i	0.000370427	−	0.231360i
$971$	−30.3463	−	38.0531i	−0.973860	−	1.22118i	−0.975232	−	0.221182i	$-0.929008\pi$
$971$	−30.3463	−	38.0531i	−0.973860	−	1.22118i	0.00137293	−	0.999999i	$-0.499563\pi$
$972$	−0.438796	−	1.95127i	−0.0140744	−	0.0625870i
$973$	17.2343	−	24.1807i	0.552507	−	0.775198i
$974$	54.1188	+	0.0866489i	1.73408	+	0.00277641i
$975$	−0.833577	+	1.73094i	−0.0266958	+	0.0554345i
$976$	−0.0625312	+	9.76375i	−0.00200158	+	0.312530i
$977$	−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	$0.702780\pi$
$978$	−20.9025	+	10.0249i	−0.668387	+	0.320561i
$979$	−41.2010			−1.31679
$980$	2.62046	+	24.9229i	0.0837075	+	0.796132i
$981$	−2.63274			−0.0840569
$982$	33.6174	−	16.1230i	1.07277	−	0.514507i
$983$	7.36908	+	3.54876i	0.235037	+	0.113188i	0.547696	−	0.836678i	$-0.315505\pi$
$983$	7.36908	+	3.54876i	0.235037	+	0.113188i	−0.312658	+	0.949866i	$0.601219\pi$
$984$	16.6056	−	7.89881i	0.529367	−	0.251805i
$985$	−10.4311	+	21.6604i	−0.332363	+	0.690159i
$986$	−51.0101	−	0.0816716i	−1.62449	−	0.00260096i
$987$	1.22187	+	4.27524i	0.0388924	+	0.136082i
$988$	13.8958	−	3.12484i	0.442084	−	0.0994144i
$989$	−2.95064	−	3.69998i	−0.0938248	−	0.117653i
$990$	0.0194530	−	12.1499i	0.000618257	−	0.386148i
$991$	6.90412	+	5.50585i	0.219317	+	0.174899i	0.726985	−	0.686653i	$-0.240921\pi$
$991$	6.90412	+	5.50585i	0.219317	+	0.174899i	−0.507668	+	0.861553i	$0.669492\pi$
$992$	8.57405	−	6.72600i	0.272226	−	0.213551i
$993$	8.85648	+	7.06281i	0.281052	+	0.224131i
$994$	5.43320	−	2.97649i	0.172331	−	0.0944084i
$995$	12.3915	−	9.88188i	0.392837	−	0.313277i
$996$	−11.1261	−	5.40200i	−0.352543	−	0.171169i
$997$	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.b.55.10	yes	168
4.3	odd	2		588.2.x.a.55.26	✓	168
49.41	odd	14		588.2.x.a.139.26	yes	168
196.139	even	14	inner	588.2.x.b.139.10	yes	168

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.611563 - 1.27514i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.25198 + 1.55966i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(0.00226428 - 1.41421i) q^{6} +(-0.448708 + 2.60742i) q^{7} +(2.75446 + 0.642622i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.611563 - 1.27514i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.25198 + 1.55966i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(0.00226428 - 1.41421i) q^{6} +(-0.448708 + 2.60742i) q^{7} +(2.75446 + 0.642622i) q^{8} +(0.623490 + 0.781831i) q^{9} +(2.53146 + 0.00405309i) q^{10} +(-3.75243 - 2.99247i) q^{11} +(-1.80471 + 0.861993i) q^{12} +(0.836410 + 0.667015i) q^{13} +(3.59925 - 1.02244i) q^{14} +(-1.39949 + 1.11606i) q^{15} +(-0.865091 - 3.90533i) q^{16} +(-5.54059 - 1.26460i) q^{17} +(0.615644 - 1.27318i) q^{18} -6.65670 q^{19} +(-1.54298 - 3.23046i) q^{20} +(-1.53559 + 2.15452i) q^{21} +(-1.52097 + 6.61497i) q^{22} +(-0.388300 + 0.0886269i) q^{23} +(2.20286 + 1.77410i) q^{24} +(1.11968 + 1.40404i) q^{25} +(0.339022 - 1.47446i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-3.50493 - 3.96428i) q^{28} +(-1.41231 + 6.18773i) q^{29} +(2.27901 + 1.10201i) q^{30} -1.92641 q^{31} +(-4.45080 + 3.49147i) q^{32} +(-2.08244 - 4.32424i) q^{33} +(1.77587 + 7.83843i) q^{34} +(-3.85663 - 2.74874i) q^{35} +(-1.99999 - 0.00640433i) q^{36} +(0.0915946 - 0.401302i) q^{37} +(4.07100 + 8.48825i) q^{38} +(0.464173 + 0.963864i) q^{39} +(-3.17567 + 3.94315i) q^{40} +(2.82082 - 5.85749i) q^{41} +(3.68643 + 0.640472i) q^{42} +(5.15543 + 10.7054i) q^{43} +(9.36521 - 2.10602i) q^{44} +(-1.74514 + 0.398317i) q^{45} +(0.350482 + 0.440937i) 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} +(-2.08749 + 0.469428i) q^{52} +(-0.839180 - 3.67669i) q^{53} +(1.10709 - 0.879976i) q^{54} +(7.74046 - 3.72761i) q^{55} +(-2.91154 + 6.89369i) q^{56} +(-5.99748 - 2.88824i) q^{57} +(8.75396 - 1.98329i) q^{58} +(7.27403 - 3.50299i) q^{59} +(0.0114639 - 3.58002i) q^{60} +(-2.37979 - 0.543171i) q^{61} +(1.17812 + 2.45644i) q^{62} +(-2.31833 + 1.27489i) q^{63} +(7.17407 + 3.54015i) q^{64} +(-1.72533 + 0.830877i) q^{65} +(-4.24048 + 5.29996i) q^{66} +10.8322i q^{67} +(8.90906 - 7.05818i) q^{68} +(-0.388300 - 0.0886269i) q^{69} +(-1.14646 + 6.59878i) q^{70} +(1.61420 - 0.368430i) q^{71} +(1.21495 + 2.55419i) q^{72} +(-7.88932 + 6.29152i) q^{73} +(-0.567734 + 0.128625i) q^{74} +(0.399611 + 1.75081i) q^{75} +(8.33406 - 10.3822i) q^{76} +(9.48637 - 8.44144i) q^{77} +(0.945194 - 1.18135i) q^{78} +7.64032i q^{79} +(6.97021 + 1.63794i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-9.19424 - 0.0147208i) q^{82} +(3.85571 + 4.83491i) q^{83} +(-1.43779 - 5.09242i) q^{84} +(6.34264 - 7.95342i) q^{85} +(10.4980 - 13.1209i) q^{86} +(-3.95720 + 4.96217i) q^{87} +(-8.41289 - 10.6540i) q^{88} +(6.71153 - 5.35227i) q^{89} +(1.57517 + 1.98171i) q^{90} +(-2.11449 + 1.88158i) q^{91} +(0.347916 - 0.716575i) q^{92} +(-1.73563 - 0.835836i) q^{93} +(-2.31627 - 0.532577i) q^{94} +(5.16999 - 10.7356i) q^{95} +(-5.52493 + 1.21458i) q^{96} -2.84644i q^{97} +(1.05092 + 9.84356i) 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	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * 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 + 23 * 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 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Introduction

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