LMFDB - Embedded newform 49.2.g.a.9.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [49,2,Mod(2,49)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("49.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(49, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([26])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 49 = 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	49.g (of order $21$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$0.391266969904$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$4$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			9.1
Character	$\chi$	$=$	49.9
Dual form			49.2.g.a.11.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.73170 - 1.60678i) q^{2} +(2.78061 + 0.419109i) q^{3} +(0.267571 + 3.57049i) q^{4} +(-0.567937 - 1.44708i) q^{5} +(-4.14175 - 5.19359i) q^{6} +(-2.62161 + 0.356599i) q^{7} +(2.32789 - 2.91908i) q^{8} +(4.68940 + 1.44649i) q^{9} +(-1.34164 + 3.41845i) q^{10} +(-0.663342 + 0.204614i) q^{11} +(-0.752415 + 10.0403i) q^{12} +(-0.928088 + 4.06622i) q^{13} +(5.11281 + 3.59482i) q^{14} +(-0.972725 - 4.26179i) q^{15} +(-1.64048 + 0.247262i) q^{16} +(-0.659346 - 0.449534i) q^{17} +(-5.79643 - 10.0397i) q^{18} +(1.05437 - 1.82622i) q^{19} +(5.01482 - 2.41501i) q^{20} +(-7.43912 - 0.107177i) q^{21} +(1.47747 + 0.711514i) q^{22} +(-4.52784 + 3.08703i) q^{23} +(7.69635 - 7.14117i) q^{24} +(1.89377 - 1.75716i) q^{25} +(8.14068 - 5.55022i) q^{26} +(4.83254 + 2.32723i) q^{27} +(-1.97470 - 9.26502i) q^{28} +(0.0358031 - 0.0172419i) q^{29} +(-5.16328 + 8.94307i) q^{30} +(1.21615 + 2.10644i) q^{31} +(-2.93166 - 1.99877i) q^{32} +(-1.93025 + 0.290938i) q^{33} +(0.419484 + 1.83788i) q^{34} +(2.00494 + 3.59115i) q^{35} +(-3.90993 + 17.1305i) q^{36} +(0.720079 - 9.60878i) q^{37} +(-4.76018 + 1.46832i) q^{38} +(-4.28484 + 10.9176i) q^{39} +(-5.54623 - 1.71079i) q^{40} +(2.97571 - 3.73142i) q^{41} +(12.7101 + 12.1386i) q^{42} +(-4.04621 - 5.07379i) q^{43} +(-0.908064 - 2.31371i) q^{44} +(-0.570100 - 7.60746i) q^{45} +(12.8010 + 1.92944i) q^{46} +(4.10689 + 3.81064i) q^{47} -4.66515 q^{48} +(6.74567 - 1.86973i) q^{49} -6.10281 q^{50} +(-1.64498 - 1.52632i) q^{51} +(-14.7667 - 2.22573i) q^{52} +(-0.686072 - 9.15499i) q^{53} +(-4.62915 - 11.7949i) q^{54} +(0.672829 + 0.843700i) q^{55} +(-5.06187 + 8.48281i) q^{56} +(3.69718 - 4.63611i) q^{57} +(-0.0897040 - 0.0276700i) q^{58} +(-3.92848 + 10.0096i) q^{59} +(14.9564 - 4.61344i) q^{60} +(-0.356368 + 4.75540i) q^{61} +(1.27857 - 5.60180i) q^{62} +(-12.8096 - 2.11989i) q^{63} +(2.60348 + 11.4066i) q^{64} +(6.41124 - 0.966339i) q^{65} +(3.81007 + 2.59767i) q^{66} +(3.95660 + 6.85303i) q^{67} +(1.42864 - 2.47447i) q^{68} +(-13.8839 + 6.68615i) q^{69} +(2.29825 - 9.44027i) q^{70} +(-3.10167 - 1.49368i) q^{71} +(15.1388 - 10.3215i) q^{72} +(-1.84688 + 1.71365i) q^{73} +(-16.6861 + 15.4825i) q^{74} +(6.00228 - 4.09229i) q^{75} +(6.80263 + 3.27598i) q^{76} +(1.66606 - 0.772965i) q^{77} +(24.9622 - 12.0212i) q^{78} +(5.31518 - 9.20616i) q^{79} +(1.28949 + 2.23347i) q^{80} +(0.297914 + 0.203114i) q^{81} +(-11.1486 + 1.68038i) q^{82} +(2.05809 + 9.01706i) q^{83} +(-1.60782 - 26.5900i) q^{84} +(-0.276045 + 1.20943i) q^{85} +(-1.14565 + 15.2876i) q^{86} +(0.106781 - 0.0329375i) q^{87} +(-0.946901 + 2.41266i) q^{88} +(-0.0252783 - 0.00779732i) q^{89} +(-11.2363 + 14.0898i) q^{90} +(0.983073 - 10.9910i) q^{91} +(-12.2337 - 15.3406i) q^{92} +(2.49882 + 6.36688i) q^{93} +(-0.989033 - 13.1977i) q^{94} +(-3.24150 - 0.488578i) q^{95} +(-7.31409 - 6.78648i) q^{96} -11.7290 q^{97} +(-14.6857 - 7.60100i) q^{98} -3.40665 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 13 q^{2} - 14 q^{3} - 9 q^{4} - 14 q^{5} - 14 q^{7} - 20 q^{8} + 6 q^{9} - 14 q^{10} - 3 q^{11} + 21 q^{12} - 14 q^{13} + 21 q^{14} - 12 q^{15} - 3 q^{16} - 7 q^{17} + 2 q^{18} + 21 q^{19} + 14 q^{20}+ \cdots - 16 q^{99}+O(q^{100}) $ 48 * q - 13 * q^2 - 14 * q^3 - 9 * q^4 - 14 * q^5 - 14 * q^7 - 20 * q^8 + 6 * q^9 - 14 * q^10 - 3 * q^11 + 21 * q^12 - 14 * q^13 + 21 * q^14 - 12 * q^15 - 3 * q^16 - 7 * q^17 + 2 * q^18 + 21 * q^19 + 14 * q^20 - 14 * q^21 - 20 * q^22 + 15 * q^23 + 28 * q^24 - 4 * q^25 + 7 * q^27 + 28 * q^28 + 12 * q^29 + 11 * q^30 + 35 * q^31 + 45 * q^32 - 14 * q^33 + 70 * q^34 - 12 * q^36 + 15 * q^37 - 28 * q^38 - 7 * q^39 - 42 * q^40 - 42 * q^41 + 28 * q^42 - 30 * q^43 - 50 * q^44 + 7 * q^45 - 78 * q^46 + 21 * q^47 - 84 * q^48 - 70 * q^49 + 40 * q^50 - 52 * q^51 - 70 * q^52 + 11 * q^53 - 77 * q^54 - 7 * q^55 - 28 * q^56 - 12 * q^57 + 16 * q^58 - 28 * q^59 + 56 * q^60 + 7 * q^61 - 28 * q^62 + 35 * q^63 - 32 * q^64 + 14 * q^65 + 154 * q^66 + 11 * q^67 + 77 * q^68 + 70 * q^69 + 70 * q^70 + 19 * q^71 + 170 * q^72 + 7 * q^73 + 34 * q^74 + 112 * q^75 + 119 * q^76 + 7 * q^77 + 28 * q^78 + 15 * q^79 + 70 * q^80 + 64 * q^81 - 14 * q^82 - 84 * q^84 - 26 * q^85 - 33 * q^86 - 112 * q^87 - 77 * q^88 - 14 * q^89 - 182 * q^90 + 84 * q^91 - 38 * q^92 - 80 * q^93 + 14 * q^94 - 61 * q^95 - 70 * q^96 - 161 * q^98 - 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/49\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{1}{21}\right)$

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 $

$2$	−1.73170	−	1.60678i	−1.22449	−	1.13616i	−0.986303	−	0.164945i	$-0.947255\pi$
$2$	−1.73170	−	1.60678i	−1.22449	−	1.13616i	−0.238191	−	0.971218i	$-0.576554\pi$
$3$	2.78061	+	0.419109i	1.60538	+	0.241973i	0.889732	−	0.456484i	$-0.150891\pi$
$3$	2.78061	+	0.419109i	1.60538	+	0.241973i	0.715652	+	0.698457i	$0.246129\pi$
$4$	0.267571	+	3.57049i	0.133786	+	1.78525i
$5$	−0.567937	−	1.44708i	−0.253989	−	0.647154i	0.745831	−	0.666135i	$-0.232053\pi$
$5$	−0.567937	−	1.44708i	−0.253989	−	0.647154i	−0.999820	+	0.0189819i	$0.993958\pi$
$6$	−4.14175	−	5.19359i	−1.69086	−	2.12027i
$7$	−2.62161	+	0.356599i	−0.990875	+	0.134782i
$7$	−2.62161	+	0.356599i	−0.990875	+	0.134782i
$8$	2.32789	−	2.91908i	0.823032	−	1.03205i
$9$	4.68940	+	1.44649i	1.56313	+	0.482163i
$10$	−1.34164	+	3.41845i	−0.424265	+	1.08101i
$11$	−0.663342	+	0.204614i	−0.200005	+	0.0616934i	−0.393139	−	0.919479i	$-0.628611\pi$
$11$	−0.663342	+	0.204614i	−0.200005	+	0.0616934i	0.193134	+	0.981172i	$0.438135\pi$
$12$	−0.752415	+	10.0403i	−0.217203	+	2.89838i
$13$	−0.928088	+	4.06622i	−0.257405	+	1.12777i	0.666608	+	0.745408i	$0.267745\pi$
$13$	−0.928088	+	4.06622i	−0.257405	+	1.12777i	−0.924014	+	0.382359i	$0.875112\pi$
$14$	5.11281	+	3.59482i	1.36645	+	0.960757i
$15$	−0.972725	−	4.26179i	−0.251156	−	1.10039i
$16$	−1.64048	+	0.247262i	−0.410119	+	0.0618155i
$17$	−0.659346	−	0.449534i	−0.159915	−	0.109028i	0.480719	−	0.876875i	$-0.340376\pi$
$17$	−0.659346	−	0.449534i	−0.159915	−	0.109028i	−0.640634	+	0.767847i	$0.721328\pi$
$18$	−5.79643	−	10.0397i	−1.36623	−	2.36638i
$19$	1.05437	−	1.82622i	0.241889	−	0.418964i	−0.719363	−	0.694634i	$-0.755566\pi$
$19$	1.05437	−	1.82622i	0.241889	−	0.418964i	0.961252	+	0.275670i	$0.0888997\pi$
$20$	5.01482	−	2.41501i	1.12135	−	0.540013i
$21$	−7.43912	−	0.107177i	−1.62335	−	0.0233880i
$22$	1.47747	+	0.711514i	0.314999	+	0.151695i
$23$	−4.52784	+	3.08703i	−0.944119	+	0.643690i	−0.934386	−	0.356263i	$-0.884051\pi$
$23$	−4.52784	+	3.08703i	−0.944119	+	0.643690i	−0.00973344	+	0.999953i	$0.503098\pi$
$24$	7.69635	−	7.14117i	1.57101	−	1.45769i
$25$	1.89377	−	1.75716i	0.378755	−	0.351433i
$26$	8.14068	−	5.55022i	1.59652	−	1.08849i
$27$	4.83254	+	2.32723i	0.930023	+	0.447875i
$28$	−1.97470	−	9.26502i	−0.373184	−	1.75092i
$29$	0.0358031	−	0.0172419i	0.00664847	−	0.00320174i	−0.430557	−	0.902564i	$-0.641683\pi$
$29$	0.0358031	−	0.0172419i	0.00664847	−	0.00320174i	0.437205	+	0.899362i	$0.355968\pi$
$30$	−5.16328	+	8.94307i	−0.942682	+	1.63277i
$31$	1.21615	+	2.10644i	0.218428	+	0.378328i	0.954327	−	0.298763i	$-0.0965739\pi$
$31$	1.21615	+	2.10644i	0.218428	+	0.378328i	−0.735900	+	0.677090i	$0.763241\pi$
$32$	−2.93166	−	1.99877i	−0.518249	−	0.353336i
$33$	−1.93025	+	0.290938i	−0.336013	+	0.0506458i
$34$	0.419484	+	1.83788i	0.0719409	+	0.315194i
$35$	2.00494	+	3.59115i	0.338896	+	0.607015i
$36$	−3.90993	+	17.1305i	−0.651655	+	2.85509i
$37$	0.720079	−	9.60878i	0.118380	−	1.57967i	−0.549557	−	0.835456i	$-0.685203\pi$
$37$	0.720079	−	9.60878i	0.118380	−	1.57967i	0.667937	−	0.744218i	$-0.267178\pi$
$38$	−4.76018	+	1.46832i	−0.772203	+	0.238193i
$39$	−4.28484	+	10.9176i	−0.686123	+	1.74821i
$40$	−5.54623	−	1.71079i	−0.876936	−	0.270499i
$41$	2.97571	−	3.73142i	0.464728	−	0.582750i	−0.493144	−	0.869948i	$-0.664152\pi$
$41$	2.97571	−	3.73142i	0.464728	−	0.582750i	0.957871	+	0.287198i	$0.0927238\pi$
$42$	12.7101	+	12.1386i	1.96121	+	1.87303i
$43$	−4.04621	−	5.07379i	−0.617042	−	0.773746i	0.370883	−	0.928680i	$-0.379055\pi$
$43$	−4.04621	−	5.07379i	−0.617042	−	0.773746i	−0.987925	+	0.154933i	$0.950484\pi$
$44$	−0.908064	−	2.31371i	−0.136896	−	0.348805i
$45$	−0.570100	−	7.60746i	−0.0849855	−	1.13405i
$46$	12.8010	+	1.92944i	1.88740	+	0.284480i
$47$	4.10689	+	3.81064i	0.599052	+	0.555839i	0.920328	−	0.391147i	$-0.127921\pi$
$47$	4.10689	+	3.81064i	0.599052	+	0.555839i	−0.321277	+	0.946985i	$0.604112\pi$
$48$	−4.66515			−0.673356
$49$	6.74567	−	1.86973i	0.963668	−	0.267104i
$50$	−6.10281			−0.863068
$51$	−1.64498	−	1.52632i	−0.230343	−	0.213727i
$52$	−14.7667	−	2.22573i	−2.04778	−	0.308653i
$53$	−0.686072	−	9.15499i	−0.0942392	−	1.25753i	−0.821114	−	0.570764i	$-0.806647\pi$
$53$	−0.686072	−	9.15499i	−0.0942392	−	1.25753i	0.726875	−	0.686770i	$-0.240972\pi$
$54$	−4.62915	−	11.7949i	−0.629947	−	1.60508i
$55$	0.672829	+	0.843700i	0.0907242	+	0.113765i
$56$	−5.06187	+	8.48281i	−0.676421	+	1.13356i
$57$	3.69718	−	4.63611i	0.489703	−	0.614068i
$58$	−0.0897040	−	0.0276700i	−0.0117787	−	0.00363325i
$59$	−3.92848	+	10.0096i	−0.511445	+	1.30314i	0.409095	+	0.912492i	$0.365844\pi$
$59$	−3.92848	+	10.0096i	−0.511445	+	1.30314i	−0.920540	+	0.390648i	$0.872251\pi$
$60$	14.9564	−	4.61344i	1.93086	−	0.595593i
$61$	−0.356368	+	4.75540i	−0.0456283	+	0.608867i	0.926784	+	0.375596i	$0.122562\pi$
$61$	−0.356368	+	4.75540i	−0.0456283	+	0.608867i	−0.972412	+	0.233271i	$0.925057\pi$
$62$	1.27857	−	5.60180i	0.162379	−	0.711429i
$63$	−12.8096	−	2.11989i	−1.61386	−	0.267081i
$64$	2.60348	+	11.4066i	0.325436	+	1.42583i
$65$	6.41124	−	0.966339i	0.795216	−	0.119860i
$66$	3.81007	+	2.59767i	0.468988	+	0.319750i
$67$	3.95660	+	6.85303i	0.483375	+	0.837231i	0.999818	−	0.0190912i	$-0.00607728\pi$
$67$	3.95660	+	6.85303i	0.483375	+	0.837231i	−0.516442	+	0.856322i	$0.672744\pi$
$68$	1.42864	−	2.47447i	0.173248	−	0.300074i
$69$	−13.8839	+	6.68615i	−1.67143	+	0.804918i
$70$	2.29825	−	9.44027i	0.274693	−	1.12833i
$71$	−3.10167	−	1.49368i	−0.368100	−	0.177268i	0.240684	−	0.970603i	$-0.422628\pi$
$71$	−3.10167	−	1.49368i	−0.368100	−	0.177268i	−0.608784	+	0.793336i	$0.708342\pi$
$72$	15.1388	−	10.3215i	1.78413	−	1.21640i
$73$	−1.84688	+	1.71365i	−0.216161	+	0.200568i	−0.780820	−	0.624757i	$-0.785198\pi$
$73$	−1.84688	+	1.71365i	−0.216161	+	0.200568i	0.564659	+	0.825324i	$0.309008\pi$
$74$	−16.6861	+	15.4825i	−1.93972	+	1.79980i
$75$	6.00228	−	4.09229i	0.693084	−	0.472537i
$76$	6.80263	+	3.27598i	0.780316	+	0.375780i
$77$	1.66606	−	0.772965i	0.189865	−	0.0880875i
$78$	24.9622	−	12.0212i	2.82641	−	1.36113i
$79$	5.31518	−	9.20616i	0.598004	−	1.03577i	−0.395111	−	0.918633i	$-0.629294\pi$
$79$	5.31518	−	9.20616i	0.598004	−	1.03577i	0.993115	−	0.117140i	$-0.0373727\pi$
$80$	1.28949	+	2.23347i	0.144170	+	0.249709i
$81$	0.297914	+	0.203114i	0.0331015	+	0.0225682i
$82$	−11.1486	+	1.68038i	−1.23116	+	0.185567i
$83$	2.05809	+	9.01706i	0.225904	+	0.989751i	0.952942	+	0.303154i	$0.0980395\pi$
$83$	2.05809	+	9.01706i	0.225904	+	0.989751i	−0.727037	+	0.686598i	$0.759103\pi$
$84$	−1.60782	−	26.5900i	−0.175428	−	2.90121i
$85$	−0.276045	+	1.20943i	−0.0299413	+	0.131181i
$86$	−1.14565	+	15.2876i	−0.123539	+	1.64851i
$87$	0.106781	−	0.0329375i	0.0114481	−	0.00353127i
$88$	−0.946901	+	2.41266i	−0.100940	+	0.257191i
$89$	−0.0252783	−	0.00779732i	−0.00267949	−	0.000826514i	0.293415	−	0.955985i	$-0.405208\pi$
$89$	−0.0252783	−	0.00779732i	−0.00267949	−	0.000826514i	−0.296095	+	0.955159i	$0.595684\pi$
$90$	−11.2363	+	14.0898i	−1.18441	+	1.48520i
$91$	0.983073	−	10.9910i	0.103054	−	1.15217i
$92$	−12.2337	−	15.3406i	−1.27545	−	1.59937i
$93$	2.49882	+	6.36688i	0.259115	+	0.660215i
$94$	−0.989033	−	13.1977i	−0.102011	−	1.36124i
$95$	−3.24150	−	0.488578i	−0.332571	−	0.0501271i
$96$	−7.31409	−	6.78648i	−0.746491	−	0.692643i
$97$	−11.7290			−1.19089			−0.595447	−	0.803394i	$-0.703025\pi$
$97$	−11.7290			−1.19089			−0.595447	+	0.803394i	$0.703025\pi$
$98$	−14.6857	−	7.60100i	−1.48348	−	0.767817i
$99$	−3.40665			−0.342381
$100$	6.78066	+	6.29154i	0.678066	+	0.629154i
$101$	18.4994	+	2.78833i	1.84076	+	0.277449i	0.974867	−	0.222787i	$-0.0715156\pi$
$101$	18.4994	+	2.78833i	1.84076	+	0.277449i	0.865889	+	0.500237i	$0.166754\pi$
$102$	0.396148	+	5.28623i	0.0392245	+	0.523415i
$103$	2.74860	+	7.00332i	0.270828	+	0.690058i	0.999984	+	0.00571039i	$0.00181768\pi$
$103$	2.74860	+	7.00332i	0.270828	+	0.690058i	−0.729156	+	0.684348i	$0.760087\pi$
$104$	9.70913	+	12.1749i	0.952059	+	1.19384i
$105$	4.06986	+	10.8259i	0.397177	+	1.05650i
$106$	−13.5220	+	16.9560i	−1.31337	+	1.64691i
$107$	4.60124	+	1.41929i	0.444818	+	0.137208i	0.509069	−	0.860725i	$-0.329990\pi$
$107$	4.60124	+	1.41929i	0.444818	+	0.137208i	−0.0642510	+	0.997934i	$0.520466\pi$
$108$	−7.01631	+	17.8773i	−0.675144	+	1.72024i
$109$	11.2668	−	3.47535i	1.07916	−	0.332878i	0.296315	−	0.955090i	$-0.404242\pi$
$109$	11.2668	−	3.47535i	1.07916	−	0.332878i	0.782849	+	0.622212i	$0.213766\pi$
$110$	0.190505	−	2.54212i	0.0181640	−	0.242381i
$111$	6.02938	−	26.4165i	0.572284	−	2.50734i
$112$	4.21251	−	1.23322i	0.398045	−	0.116528i
$113$	2.44118	+	10.6955i	0.229647	+	1.00615i	0.949928	+	0.312468i	$0.101156\pi$
$113$	2.44118	+	10.6955i	0.229647	+	1.00615i	−0.720281	+	0.693682i	$0.755987\pi$
$114$	−13.8516	+	2.08779i	−1.29732	+	0.195539i
$115$	7.03870	+	4.79890i	0.656362	+	0.447500i
$116$	0.0711419	+	0.123221i	0.00660536	+	0.0114408i
$117$	−10.2339	+	17.7257i	−0.946127	+	1.63874i
$118$	22.8862	−	11.0214i	2.10684	−	1.01460i
$119$	1.88885	+	0.943381i	0.173151	+	0.0864796i
$120$	−14.7049	−	7.08150i	−1.34237	−	0.646449i
$121$	−8.69047	+	5.92506i	−0.790043	+	0.538642i
$122$	8.25800	−	7.66230i	0.747644	−	0.693712i
$123$	9.83815	−	9.12847i	0.887076	−	0.823086i
$124$	−7.19562	+	4.90589i	−0.646186	+	0.440562i
$125$	−10.6213	−	5.11493i	−0.949994	−	0.457493i
$126$	18.7761	+	24.2532i	1.67271	+	2.16065i
$127$	−12.6746	+	6.10376i	−1.12469	+	0.541621i	−0.901337	−	0.433118i	$-0.857414\pi$
$127$	−12.6746	+	6.10376i	−1.12469	+	0.541621i	−0.223350	+	0.974738i	$0.571699\pi$
$128$	10.2713	−	17.7903i	0.907859	−	1.57246i
$129$	−9.12446	−	15.8040i	−0.803364	−	1.39147i
$130$	−12.6550	−	8.62804i	−1.10992	−	0.756729i
$131$	−13.9784	+	2.10690i	−1.22130	+	0.184081i	−0.727875	−	0.685710i	$-0.759492\pi$
$131$	−13.9784	+	2.10690i	−1.22130	+	0.184081i	−0.493421	+	0.869790i	$0.664254\pi$
$132$	−1.55527	−	6.81409i	−0.135369	−	0.593091i
$133$	−2.11292	+	5.16363i	−0.183213	+	0.447744i
$134$	4.15968	−	18.2247i	0.359341	−	1.57438i
$135$	0.623107	−	8.31479i	0.0536285	−	0.715623i
$136$	−2.84711	+	0.878216i	−0.244137	+	0.0753064i
$137$	0.903392	−	2.30181i	0.0771820	−	0.196657i	−0.887075	−	0.461625i	$-0.847266\pi$
$137$	0.903392	−	2.30181i	0.0771820	−	0.196657i	0.964257	+	0.264969i	$0.0853617\pi$
$138$	34.7859	+	10.7300i	2.96117	+	0.913401i
$139$	−1.67222	+	2.09690i	−0.141836	+	0.177856i	−0.847675	−	0.530515i	$-0.821998\pi$
$139$	−1.67222	+	2.09690i	−0.141836	+	0.177856i	0.705840	+	0.708372i	$0.250570\pi$
$140$	−12.2857	+	8.11950i	−1.03833	+	0.686223i
$141$	9.82258	+	12.3171i	0.827211	+	1.03729i
$142$	2.97112	+	7.57029i	0.249331	+	0.635285i
$143$	−0.216365	−	2.88719i	−0.0180934	−	0.241439i
$144$	−8.05052	−	1.21342i	−0.670876	−	0.101118i
$145$	−0.0452843	−	0.0420177i	−0.00376065	−	0.00348938i
$146$	5.95169			0.492565
$147$	19.5407	−	2.37181i	1.61169	−	0.195624i
$148$	34.5008			2.83595
$149$	−1.99199	−	1.84829i	−0.163190	−	0.151418i	0.594351	−	0.804206i	$-0.297409\pi$
$149$	−1.99199	−	1.84829i	−0.163190	−	0.151418i	−0.757541	+	0.652788i	$0.773599\pi$
$150$	−16.9695	−	2.55774i	−1.38556	−	0.208839i
$151$	0.0875117	+	1.16776i	0.00712160	+	0.0950312i	0.999632	−	0.0271296i	$-0.00863669\pi$
$151$	0.0875117	+	1.16776i	0.00712160	+	0.0950312i	−0.992510	+	0.122161i	$0.961018\pi$
$152$	−2.87643	−	7.32903i	−0.233309	−	0.594463i
$153$	−2.44169	−	3.06178i	−0.197399	−	0.247531i
$154$	−4.12709	−	1.33845i	−0.332570	−	0.107855i
$155$	2.35749	−	2.95620i	0.189358	−	0.237447i
$156$	−40.1277	−	12.3778i	−3.21279	−	0.991013i
$157$	3.73500	−	9.51664i	0.298086	−	0.759510i	−0.700846	−	0.713312i	$-0.747194\pi$
$157$	3.73500	−	9.51664i	0.298086	−	0.759510i	0.998932	−	0.0461981i	$-0.0147106\pi$
$158$	−23.9965	+	7.40195i	−1.90906	+	0.588867i
$159$	1.92924	−	25.7440i	0.152999	−	2.04163i
$160$	−1.22738	+	5.37752i	−0.0970332	+	0.425130i
$161$	10.7694	−	9.70760i	0.848747	−	0.765066i
$162$	−0.189536	−	0.830413i	−0.0148914	−	0.0652434i
$163$	−5.26945	+	0.794243i	−0.412736	+	0.0622099i	−0.352128	−	0.935952i	$-0.614542\pi$
$163$	−5.26945	+	0.794243i	−0.412736	+	0.0622099i	−0.0606074	+	0.998162i	$0.519304\pi$
$164$	14.1192	+	9.62632i	1.10253	+	0.751690i
$165$	1.51727	+	2.62799i	0.118119	+	0.204589i
$166$	10.9244	−	18.9217i	0.847901	−	1.46861i
$167$	1.38071	−	0.664915i	0.106843	−	0.0514526i	−0.379699	−	0.925110i	$-0.623972\pi$
$167$	1.38071	−	0.664915i	0.106843	−	0.0514526i	0.486542	+	0.873657i	$0.338258\pi$
$168$	−17.6303	+	21.4659i	−1.36021	+	1.65613i
$169$	−3.96021	−	1.90714i	−0.304632	−	0.146703i
$170$	2.42132	−	1.65083i	0.185706	−	0.126613i
$171$	7.58598	−	7.03876i	0.580114	−	0.538267i
$172$	17.0333	−	15.8046i	1.29878	−	1.20509i
$173$	4.57736	−	3.12079i	0.348010	−	0.237269i	−0.376681	−	0.926343i	$-0.622935\pi$
$173$	4.57736	−	3.12079i	0.348010	−	0.237269i	0.724691	+	0.689074i	$0.241982\pi$
$174$	−0.237835	−	0.114535i	−0.0180302	−	0.00868289i
$175$	−4.33813	+	5.28192i	−0.327932	+	0.399275i
$176$	1.03760	−	0.499683i	0.0782123	−	0.0376650i
$177$	−15.1187	+	26.1863i	−1.13639	+	1.96828i
$178$	0.0312457	+	0.0541192i	0.00234197	+	0.00405641i
$179$	10.5296	+	7.17896i	0.787019	+	0.536581i	0.888838	−	0.458222i	$-0.151514\pi$
$179$	10.5296	+	7.17896i	0.787019	+	0.536581i	−0.101818	+	0.994803i	$0.532466\pi$
$180$	27.0098	−	4.07108i	2.01319	−	0.303440i
$181$	4.08394	+	17.8929i	0.303557	+	1.32997i	0.864716	+	0.502262i	$0.167499\pi$
$181$	4.08394	+	17.8929i	0.303557	+	1.32997i	−0.561158	+	0.827708i	$0.689644\pi$
$182$	−19.3625	+	17.4535i	−1.43524	+	1.29374i
$183$	−2.98395	+	13.0735i	−0.220580	+	0.966424i
$184$	−1.52902	+	20.4034i	−0.112721	+	1.50416i
$185$	−14.3136	+	4.41517i	−1.05236	+	0.324610i
$186$	5.90298	−	15.0405i	0.432827	−	1.10283i
$187$	0.529352	+	0.163284i	0.0387101	+	0.0119405i
$188$	−12.5070	+	15.6832i	−0.912165	+	1.14382i
$189$	−13.4989	−	4.37780i	−0.981902	−	0.318438i
$190$	4.82826	+	6.05445i	0.350279	+	0.439236i
$191$	−7.19141	−	18.3234i	−0.520352	−	1.32584i	−0.913679	−	0.406437i	$-0.866771\pi$
$191$	−7.19141	−	18.3234i	−0.520352	−	1.32584i	0.393327	−	0.919399i	$-0.371324\pi$
$192$	2.45865	+	32.8084i	0.177438	+	2.36775i
$193$	−15.4072	−	2.32226i	−1.10903	−	0.167160i	−0.431115	−	0.902297i	$-0.641880\pi$
$193$	−15.4072	−	2.32226i	−1.10903	−	0.167160i	−0.677918	+	0.735137i	$0.737118\pi$
$194$	20.3110	+	18.8458i	1.45824	+	1.35305i
$195$	18.2321			1.30563
$196$	8.48080	+	23.5851i	0.605772	+	1.68465i
$197$	16.2192			1.15557			0.577786	−	0.816188i	$-0.303917\pi$
$197$	16.2192			1.15557			0.577786	+	0.816188i	$0.303917\pi$
$198$	5.89928	+	5.47373i	0.419244	+	0.389001i
$199$	−21.7207	−	3.27387i	−1.53974	−	0.232079i	−0.676337	−	0.736592i	$-0.736434\pi$
$199$	−21.7207	−	3.27387i	−1.53974	−	0.232079i	−0.863404	+	0.504514i	$0.831672\pi$
$200$	−0.720811	−	9.61855i	−0.0509690	−	0.680134i
$201$	8.12958	+	20.7138i	0.573416	+	1.46104i
$202$	−27.5550	−	34.5529i	−1.93877	−	2.43113i
$203$	−0.0877134	+	0.0579689i	−0.00615627	+	0.00406862i
$204$	5.00955	−	6.28178i	0.350739	−	0.439812i
$205$	−7.08967	−	2.18687i	−0.495164	−	0.152738i
$206$	6.49305	−	16.5440i	0.452392	−	1.15268i
$207$	−25.6982	+	7.92685i	−1.78615	+	0.550954i
$208$	0.517085	−	6.90002i	0.0358534	−	0.478430i
$209$	−0.325737	+	1.42715i	−0.0225317	+	0.0987179i
$210$	10.3470	−	25.2865i	0.714012	−	1.74493i
$211$	−6.15510	−	26.9673i	−0.423735	−	1.85650i	−0.509917	−	0.860224i	$-0.670324\pi$
$211$	−6.15510	−	26.9673i	−0.423735	−	1.85650i	0.0861819	−	0.996279i	$-0.472533\pi$
$212$	32.5042	−	4.89923i	2.23240	−	0.336480i
$213$	−7.99850	−	5.45328i	−0.548048	−	0.373653i
$214$	−5.68745	−	9.85095i	−0.388786	−	0.673397i
$215$	−5.04419	+	8.73679i	−0.344011	+	0.595844i
$216$	18.0430	−	8.68904i	1.22767	−	0.591214i
$217$	−3.93944	−	5.08858i	−0.267426	−	0.345436i
$218$	−25.0948	−	12.0850i	−1.69963	−	0.818500i
$219$	−5.85365	+	3.99095i	−0.395553	+	0.269683i
$220$	−2.83240	+	2.62808i	−0.190960	+	0.177185i
$221$	2.43984	−	2.26384i	0.164121	−	0.152282i
$222$	−52.8864	+	36.0574i	−3.54951	+	2.42001i
$223$	−2.05848	−	0.991311i	−0.137846	−	0.0663831i	0.363689	−	0.931520i	$-0.381517\pi$
$223$	−2.05848	−	0.991311i	−0.137846	−	0.0663831i	−0.501535	+	0.865137i	$0.667231\pi$
$224$	8.39843	+	4.19457i	0.561144	+	0.280262i
$225$	11.4224	−	5.50073i	0.761493	−	0.366716i
$226$	12.9579	−	22.4438i	0.861949	−	1.49294i
$227$	12.9143	+	22.3682i	0.857149	+	1.48463i	0.874637	+	0.484779i	$0.161100\pi$
$227$	12.9143	+	22.3682i	0.857149	+	1.48463i	−0.0174870	+	0.999847i	$0.505567\pi$
$228$	17.5425	+	11.9602i	1.16178	+	0.792087i
$229$	7.46898	−	1.12577i	0.493564	−	0.0743928i	0.102456	−	0.994738i	$-0.467330\pi$
$229$	7.46898	−	1.12577i	0.493564	−	0.0743928i	0.391108	+	0.920345i	$0.372092\pi$
$230$	−4.47811	−	19.6199i	−0.295278	−	1.29370i
$231$	4.95661	−	1.45105i	0.326121	−	0.0954722i
$232$	0.0330153	−	0.144649i	0.00216756	−	0.00949669i
$233$	−0.442674	+	5.90707i	−0.0290005	+	0.386985i	0.963751	+	0.266802i	$0.0859671\pi$
$233$	−0.442674	+	5.90707i	−0.0290005	+	0.386985i	−0.992752	+	0.120183i	$0.961652\pi$
$234$	46.2033	−	14.2518i	3.02040	−	0.931671i
$235$	3.18184	−	8.10720i	0.207560	−	0.528855i
$236$	−36.7904	−	11.3483i	−2.39485	−	0.738713i
$237$	18.6378	−	23.3711i	1.21066	−	1.51811i
$238$	−1.75511	−	4.66861i	−0.113767	−	0.302621i
$239$	3.75792	+	4.71229i	0.243080	+	0.304813i	0.888373	−	0.459123i	$-0.151836\pi$
$239$	3.75792	+	4.71229i	0.243080	+	0.304813i	−0.645293	+	0.763935i	$0.723265\pi$
$240$	2.64951	+	6.75084i	0.171025	+	0.435765i
$241$	−0.545639	−	7.28105i	−0.0351477	−	0.469013i	−0.986812	−	0.161872i	$-0.948247\pi$
$241$	−0.545639	−	7.28105i	−0.0351477	−	0.469013i	0.951664	−	0.307141i	$-0.0993723\pi$
$242$	24.5695	+	3.70326i	1.57939	+	0.238054i
$243$	−11.0524	−	10.2551i	−0.709011	−	0.657866i
$244$	−17.0745			−1.09308
$245$	−6.53676	−	8.69964i	−0.417618	−	0.555799i
$246$	−31.7041			−2.02138
$247$	6.44728	+	5.98220i	0.410230	+	0.380638i
$248$	8.97993	+	1.35351i	0.570226	+	0.0859478i
$249$	1.94360	+	25.9355i	0.123170	+	1.64359i
$250$	10.1742	+	25.9235i	0.643474	+	1.63955i
$251$	1.84792	+	2.31721i	0.116639	+	0.146261i	0.836723	−	0.547626i	$-0.184468\pi$
$251$	1.84792	+	2.31721i	0.116639	+	0.146261i	−0.720084	+	0.693887i	$0.755897\pi$
$252$	4.14158	−	46.3038i	0.260895	−	2.91687i
$253$	2.37185	−	2.97421i	0.149117	−	0.186987i
$254$	31.7559	+	9.79540i	1.99254	+	0.614618i
$255$	−1.27446	+	3.24726i	−0.0798096	+	0.203352i
$256$	−24.0115	+	7.40657i	−1.50072	+	0.462910i
$257$	1.94985	−	26.0190i	0.121629	−	1.62302i	−0.518726	−	0.854941i	$-0.673593\pi$
$257$	1.94985	−	26.0190i	0.121629	−	1.62302i	0.640354	−	0.768080i	$-0.278788\pi$
$258$	−9.59279	+	42.0287i	−0.597221	+	2.61660i
$259$	1.53872	+	25.4473i	0.0956115	+	1.58122i
$260$	5.16577	+	22.6327i	0.320368	+	1.40362i
$261$	0.192836	−	0.0290653i	0.0119362	−	0.00179910i
$262$	27.5916	+	18.8116i	1.70462	+	1.16219i
$263$	2.47707	+	4.29042i	0.152743	+	0.264559i	0.932235	−	0.361854i	$-0.117856\pi$
$263$	2.47707	+	4.29042i	0.152743	+	0.264559i	−0.779492	+	0.626412i	$0.784523\pi$
$264$	−3.64413	+	6.31182i	−0.224281	+	0.388466i
$265$	−12.8583	+	6.19225i	−0.789882	+	0.380387i
$266$	11.9557	−	5.54684i	0.733053	−	0.340099i
$267$	−0.0670211	−	0.0322757i	−0.00410162	−	0.00197524i
$268$	−23.4100	+	15.9607i	−1.42999	+	0.974954i
$269$	−11.8287	+	10.9755i	−0.721211	+	0.669186i	−0.952790	−	0.303630i	$-0.901801\pi$
$269$	−11.8287	+	10.9755i	−0.721211	+	0.669186i	0.231579	+	0.972816i	$0.425611\pi$
$270$	−14.4391	+	13.3975i	−0.878733	+	0.815345i
$271$	−1.44638	+	0.986124i	−0.0878613	+	0.0599028i	−0.606454	−	0.795119i	$-0.707409\pi$
$271$	−1.44638	+	0.986124i	−0.0878613	+	0.0599028i	0.518593	+	0.855021i	$0.326456\pi$
$272$	1.19279	+	0.574419i	0.0723237	+	0.0348293i
$273$	7.33997	−	30.1496i	0.444235	−	1.82474i
$274$	−5.26289	+	2.53448i	−0.317943	+	0.153113i
$275$	−0.896679	+	1.55309i	−0.0540718	+	0.0936550i
$276$	−27.5878	−	47.7835i	−1.66059	−	2.87623i
$277$	13.3638	+	9.11129i	0.802953	+	0.547444i	0.893824	−	0.448418i	$-0.148013\pi$
$277$	13.3638	+	9.11129i	0.802953	+	0.547444i	−0.0908704	+	0.995863i	$0.528965\pi$
$278$	6.26502	−	0.944300i	0.375751	−	0.0566353i
$279$	2.65609	+	11.6371i	0.159016	+	0.696695i
$280$	15.1501	+	2.50723i	0.905393	+	0.149836i
$281$	−0.859518	+	3.76580i	−0.0512746	+	0.224649i	−0.994073	−	0.108715i	$-0.965326\pi$
$281$	−0.859518	+	3.76580i	−0.0512746	+	0.224649i	0.942798	+	0.333363i	$0.108184\pi$
$282$	2.78118	−	37.1122i	0.165617	−	2.21000i
$283$	28.6147	−	8.82648i	1.70097	−	0.524680i	0.716103	−	0.697995i	$-0.245924\pi$
$283$	28.6147	−	8.82648i	1.70097	−	0.524680i	0.984866	+	0.173315i	$0.0554478\pi$
$284$	4.50327	−	11.4741i	0.267220	−	0.680865i
$285$	−8.80858	−	2.71709i	−0.521775	−	0.160946i
$286$	−4.26440	+	5.34739i	−0.252159	+	0.316198i
$287$	−6.47052	+	10.8435i	−0.381943	+	0.640069i
$288$	−10.8565	−	13.6137i	−0.639727	−	0.802193i
$289$	−5.97814	−	15.2321i	−0.351655	−	0.896003i
$290$	0.0109055	+	0.145524i	0.000640392	+	0.00854544i
$291$	−32.6136	−	4.91571i	−1.91184	−	0.288164i
$292$	−6.61275	−	6.13574i	−0.386982	−	0.359067i
$293$	12.3352			0.720633			0.360316	−	0.932830i	$-0.382669\pi$
$293$	12.3352			0.720633			0.360316	+	0.932830i	$0.382669\pi$
$294$	−37.6495	−	27.2903i	−2.19576	−	1.59160i
$295$	16.7158			0.973233
$296$	−26.3725	−	24.4701i	−1.53287	−	1.42230i
$297$	−3.68181	−	0.554944i	−0.213640	−	0.0322011i
$298$	0.479715	+	6.40136i	0.0277892	+	0.370821i
$299$	−8.35030	−	21.2762i	−0.482910	−	1.23044i
$300$	16.2175	+	20.3361i	0.936319	+	1.17411i
$301$	12.4169	+	11.8586i	0.715699	+	0.683520i
$302$	1.72479	−	2.16282i	0.0992506	−	0.124456i
$303$	50.2709	+	15.5065i	2.88799	+	0.890825i
$304$	−1.27811	+	3.25658i	−0.0733048	+	0.186778i
$305$	7.08384	−	2.18507i	0.405619	−	0.125117i
$306$	−0.691343	+	9.22534i	−0.0395215	+	0.527377i
$307$	1.11320	−	4.87723i	0.0635334	−	0.278358i	−0.933176	−	0.359421i	$-0.882974\pi$
$307$	1.11320	−	4.87723i	0.0635334	−	0.278358i	0.996709	+	0.0810628i	$0.0258314\pi$
$308$	3.20566	+	5.74183i	0.182659	+	0.327171i
$309$	4.70763	+	20.6255i	0.267807	+	1.17334i
$310$	−8.83240	+	1.33127i	−0.501647	+	0.0756111i
$311$	−24.7865	−	16.8992i	−1.40551	−	0.958264i	−0.999004	−	0.0446173i	$-0.985793\pi$
$311$	−24.7865	−	16.8992i	−1.40551	−	0.958264i	−0.406510	−	0.913646i	$-0.633254\pi$
$312$	21.8947	+	37.9227i	1.23954	+	2.14695i
$313$	0.512483	−	0.887647i	0.0289672	−	0.0501727i	−0.851178	−	0.524877i	$-0.824111\pi$
$313$	0.512483	−	0.887647i	0.0289672	−	0.0501727i	0.880146	+	0.474704i	$0.157445\pi$
$314$	−21.7590	+	10.4786i	−1.22793	+	0.591341i
$315$	4.20739	+	19.7405i	0.237060	+	1.11225i
$316$	34.2927	+	16.5145i	1.92912	+	0.929013i
$317$	−0.386466	+	0.263488i	−0.0217061	+	0.0147989i	−0.574124	−	0.818768i	$-0.694657\pi$
$317$	−0.386466	+	0.263488i	−0.0217061	+	0.0147989i	0.552418	+	0.833567i	$0.313705\pi$
$318$	−44.7057	+	41.4808i	−2.50697	+	2.32613i
$319$	−0.0202218	+	0.0187631i	−0.00113220	+	0.00105053i
$320$	15.0277	−	10.2457i	0.840072	−	0.572751i
$321$	12.1994	+	5.87492i	0.680904	+	0.327906i
$322$	−34.2473	−	0.493409i	−1.90853	−	0.0274966i
$323$	−1.51614	+	0.730136i	−0.0843605	+	0.0406259i
$324$	−0.645504	+	1.11805i	−0.0358613	+	0.0621137i
$325$	5.38743	+	9.33130i	0.298841	+	0.517608i
$326$	10.4013	+	7.09146i	0.576073	+	0.392760i
$327$	32.7851	−	4.94156i	1.81302	−	0.273269i
$328$	−3.96519	−	17.3726i	−0.218941	−	0.959244i
$329$	−12.1255	−	8.52549i	−0.668503	−	0.470026i
$330$	1.59515	−	6.98879i	0.0878099	−	0.384720i
$331$	−0.957891	+	12.7822i	−0.0526504	+	0.702571i	0.906956	+	0.421225i	$0.138400\pi$
$331$	−0.957891	+	12.7822i	−0.0526504	+	0.702571i	−0.959606	+	0.281346i	$0.909219\pi$
$332$	−31.6447	+	9.76109i	−1.73673	+	0.535709i
$333$	17.2757	−	44.0179i	0.946705	−	2.41217i
$334$	−3.45934	−	1.06706i	−0.189287	−	0.0583872i
$335$	7.66978	−	9.61760i	0.419045	−	0.525466i
$336$	12.2302	−	1.66359i	0.667212	−	0.0907562i
$337$	−9.17474	−	11.5048i	−0.499780	−	0.626704i	0.466400	−	0.884574i	$-0.345551\pi$
$337$	−9.17474	−	11.5048i	−0.499780	−	0.626704i	−0.966180	+	0.257870i	$0.916979\pi$
$338$	3.79353	+	9.66576i	0.206341	+	0.525748i
$339$	2.30538	+	30.7631i	0.125211	+	1.67082i
$340$	−4.39213	−	0.662007i	−0.238197	−	0.0359024i
$341$	−1.23773	−	1.14845i	−0.0670270	−	0.0621919i
$342$	−24.4463			−1.32191
$343$	−17.0178	+	7.30720i	−0.918874	+	0.394552i
$344$	−24.2299			−1.30639
$345$	17.5606	+	16.2938i	0.945430	+	0.877231i
$346$	−12.9410	−	1.95054i	−0.695713	−	0.104862i
$347$	−2.46104	−	32.8403i	−0.132115	−	1.76296i	−0.532330	−	0.846537i	$-0.678684\pi$
$347$	−2.46104	−	32.8403i	−0.132115	−	1.76296i	0.400215	−	0.916421i	$-0.368936\pi$
$348$	0.146174	+	0.372446i	0.00783577	+	0.0199652i
$349$	−5.15105	−	6.45921i	−0.275729	−	0.345754i	0.624614	−	0.780934i	$-0.285256\pi$
$349$	−5.15105	−	6.45921i	−0.275729	−	0.345754i	−0.900344	+	0.435180i	$0.856685\pi$
$350$	15.9992	−	2.17626i	0.855193	−	0.116326i
$351$	−13.9481	+	17.4903i	−0.744492	+	0.933564i
$352$	2.35367	+	0.726011i	0.125451	+	0.0386965i
$353$	−1.16444	+	2.96694i	−0.0619768	+	0.157914i	−0.958508	−	0.285067i	$-0.907984\pi$
$353$	−1.16444	+	2.96694i	−0.0619768	+	0.157914i	0.896531	+	0.442982i	$0.146079\pi$
$354$	68.2566	−	21.0544i	3.62780	−	1.11903i
$355$	−0.399928	+	5.33667i	−0.0212260	+	0.283241i
$356$	0.0210765	−	0.0923423i	0.00111705	−	0.00489413i
$357$	4.85677	+	3.41481i	0.257048	+	0.180731i
$358$	−6.69906	−	29.3505i	−0.354056	−	1.55122i
$359$	−4.23152	+	0.637799i	−0.223331	+	0.0336618i	−0.259754	−	0.965675i	$-0.583642\pi$
$359$	−4.23152	+	0.637799i	−0.223331	+	0.0336618i	0.0364233	+	0.999336i	$0.488404\pi$
$360$	−23.5339	−	16.0451i	−1.24034	−	0.845653i
$361$	7.27661	+	12.6035i	0.382979	+	0.663340i
$362$	21.6778	−	37.5471i	1.13936	−	1.97343i
$363$	−26.6480	+	12.8330i	−1.39866	+	0.673559i
$364$	39.5063	+	0.569178i	2.07069	+	0.0298330i
$365$	3.52870	+	1.69933i	0.184701	+	0.0889471i
$366$	26.1736	−	17.8448i	1.36812	−	0.932765i
$367$	25.3701	−	23.5400i	1.32431	−	1.22878i	0.370329	−	0.928901i	$-0.379245\pi$
$367$	25.3701	−	23.5400i	1.32431	−	1.22878i	0.953978	−	0.299876i	$-0.0969454\pi$
$368$	6.66450	−	6.18375i	0.347411	−	0.322350i
$369$	19.3518	−	13.1938i	1.00741	−	0.686842i
$370$	31.8810	+	15.3531i	1.65742	+	0.798170i
$371$	5.06328	+	23.7562i	0.262872	+	1.23336i
$372$	−22.0643	+	10.6256i	−1.14398	+	0.550912i
$373$	−10.9041	+	18.8864i	−0.564590	+	0.977899i	0.432497	+	0.901635i	$0.357632\pi$
$373$	−10.9041	+	18.8864i	−0.564590	+	0.977899i	−0.997088	+	0.0762639i	$0.975701\pi$
$374$	−0.654317	−	1.13331i	−0.0338339	−	0.0586020i
$375$	−27.3898	−	18.6741i	−1.41440	−	0.964325i
$376$	20.6839	−	3.11760i	1.06669	−	0.160778i
$377$	0.0368808	+	0.161585i	0.00189946	+	0.00832207i
$378$	16.3419	+	29.2708i	0.840535	+	1.50553i
$379$	1.33904	−	5.86672i	0.0687819	−	0.301353i	−0.928823	−	0.370524i	$-0.879178\pi$
$379$	1.33904	−	5.86672i	0.0687819	−	0.301353i	0.997605	+	0.0691708i	$0.0220353\pi$
$380$	0.877131	−	11.7045i	0.0449959	−	0.600428i
$381$	−37.8012	+	11.6601i	−1.93661	+	0.597366i
$382$	−16.9883	+	43.2856i	−0.869199	+	2.21468i
$383$	−23.1787	−	7.14968i	−1.18438	−	0.365331i	−0.360857	−	0.932621i	$-0.617516\pi$
$383$	−23.1787	−	7.14968i	−1.18438	−	0.365331i	−0.823518	+	0.567290i	$0.807992\pi$
$384$	36.0164	−	45.1632i	1.83796	−	2.30472i
$385$	−2.06476	−	1.97192i	−0.105230	−	0.100498i
$386$	22.9492	+	28.7774i	1.16808	+	1.46473i
$387$	−11.6351	−	29.6459i	−0.591448	−	1.50698i
$388$	−3.13833	−	41.8781i	−0.159325	−	2.12604i
$389$	−20.2800	−	3.05672i	−1.02824	−	0.154982i	−0.386805	−	0.922162i	$-0.626421\pi$
$389$	−20.2800	−	3.05672i	−1.02824	−	0.154982i	−0.641432	+	0.767180i	$0.721659\pi$
$390$	−31.5725	−	29.2950i	−1.59874	−	1.48341i
$391$	4.37313			0.221159
$392$	10.2453	−	24.0437i	0.517465	−	1.21439i
$393$	−39.7514			−2.00519
$394$	−28.0868	−	26.0607i	−1.41499	−	1.31292i
$395$	−16.3407	−	2.46297i	−0.822191	−	0.123925i
$396$	−0.911522	−	12.1634i	−0.0458057	−	0.611235i
$397$	1.62820	+	4.14859i	0.0817171	+	0.208212i	0.965893	−	0.258943i	$-0.0833742\pi$
$397$	1.62820	+	4.14859i	0.0817171	+	0.208212i	−0.884175	+	0.467155i	$0.845279\pi$
$398$	32.3533	+	40.5697i	1.62172	+	2.03358i
$399$	−8.03931	+	13.4725i	−0.402469	+	0.674468i
$400$	−2.67221	+	3.35084i	−0.133610	+	0.167542i
$401$	−29.9897	−	9.25061i	−1.49762	−	0.461954i	−0.565695	−	0.824614i	$-0.691392\pi$
$401$	−29.9897	−	9.25061i	−1.49762	−	0.461954i	−0.931921	+	0.362661i	$0.881868\pi$
$402$	19.2046	−	48.9325i	0.957837	−	2.44053i
$403$	−9.69395	+	2.99019i	−0.482890	+	0.148952i
$404$	−5.00581	+	66.7979i	−0.249049	+	3.32332i
$405$	0.124726	−	0.546460i	0.00619769	−	0.0271538i
$406$	0.245036	+	0.0405516i	0.0121609	+	0.00201254i
$407$	1.48843	+	6.52125i	0.0737788	+	0.323246i
$408$	−8.28476	+	1.24873i	−0.410157	+	0.0618212i
$409$	11.4790	+	7.82622i	0.567598	+	0.386982i	0.812846	−	0.582479i	$-0.197917\pi$
$409$	11.4790	+	7.82622i	0.567598	+	0.386982i	−0.245248	+	0.969460i	$0.578869\pi$
$410$	8.76333	+	15.1785i	0.432790	+	0.749614i
$411$	3.47669	−	6.02180i	0.171492	−	0.297033i
$412$	−24.2699	+	11.6878i	−1.19569	+	0.575814i
$413$	6.72952	−	27.6422i	0.331138	−	1.36018i
$414$	57.2382	+	27.5644i	2.81310	+	1.35472i
$415$	11.8795	−	8.09934i	0.583144	−	0.397581i
$416$	10.8483	−	10.0657i	0.531881	−	0.493513i
$417$	−5.52861	+	5.12980i	−0.270737	+	0.251207i
$418$	2.85719	−	1.94800i	0.139750	−	0.0952797i
$419$	12.4309	+	5.98640i	0.607289	+	0.292455i	0.712145	−	0.702033i	$-0.247724\pi$
$419$	12.4309	+	5.98640i	0.607289	+	0.292455i	−0.104856	+	0.994487i	$0.533438\pi$
$420$	−37.5647	+	17.4281i	−1.83297	+	0.850403i
$421$	−7.73392	+	3.72446i	−0.376928	+	0.181519i	−0.612749	−	0.790277i	$-0.709936\pi$
$421$	−7.73392	+	3.72446i	−0.376928	+	0.181519i	0.235821	+	0.971797i	$0.424222\pi$
$422$	−32.6717	+	56.5890i	−1.59043	+	2.75471i
$423$	13.7468	+	23.8102i	0.668394	+	1.15769i
$424$	−28.3212	−	19.3091i	−1.37540	−	0.937732i
$425$	−2.03856	+	0.307263i	−0.0988845	+	0.0149044i
$426$	5.08874	+	22.2952i	0.246550	+	1.08021i
$427$	−0.761516	−	12.5939i	−0.0368523	−	0.609461i
$428$	−3.83642	+	16.8085i	−0.185440	+	0.812467i
$429$	0.608422	−	8.11883i	0.0293749	−	0.391981i
$430$	22.7731	−	7.02456i	1.09822	−	0.338755i
$431$	−5.47589	+	13.9523i	−0.263764	+	0.672061i	−0.999989	−	0.00467656i	$-0.998511\pi$
$431$	−5.47589	+	13.9523i	−0.263764	+	0.672061i	0.736225	+	0.676737i	$0.236607\pi$
$432$	−8.50310	−	2.62286i	−0.409106	−	0.126192i
$433$	−7.66601	+	9.61287i	−0.368405	+	0.461965i	−0.931135	−	0.364676i	$-0.881180\pi$
$433$	−7.66601	+	9.61287i	−0.368405	+	0.461965i	0.562730	+	0.826641i	$0.309751\pi$
$434$	−1.35432	+	15.1417i	−0.0650096	+	0.726824i
$435$	−0.108308	−	0.135814i	−0.00519296	−	0.00651177i
$436$	15.4234	+	39.2981i	0.738646	+	1.88204i
$437$	0.863582	+	11.5237i	0.0413107	+	0.551254i
$438$	16.5493	+	2.49441i	0.790756	+	0.119187i
$439$	2.96251	+	2.74881i	0.141393	+	0.131193i	0.747699	−	0.664038i	$-0.231159\pi$
$439$	2.96251	+	2.74881i	0.141393	+	0.131193i	−0.606306	+	0.795232i	$0.707349\pi$
$440$	4.02910			0.192080
$441$	34.3377	+	0.989631i	1.63513	+	0.0471253i
$442$	−7.86254			−0.373983
$443$	9.09794	+	8.44165i	0.432256	+	0.401075i	0.866066	−	0.499929i	$-0.166641\pi$
$443$	9.09794	+	8.44165i	0.432256	+	0.401075i	−0.433810	+	0.901004i	$0.642831\pi$
$444$	95.9331	+	14.4596i	4.55278	+	0.686221i
$445$	0.00307313	+	0.0410081i	0.000145680	+	0.00194397i
$446$	1.97184	+	5.02417i	0.0933693	+	0.237901i
$447$	−4.76429	−	5.97423i	−0.225343	−	0.282572i
$448$	−10.8929	−	28.9753i	−0.514642	−	1.36895i
$449$	4.20919	−	5.27815i	0.198644	−	0.249092i	−0.672526	−	0.740074i	$-0.734791\pi$
$449$	4.20919	−	5.27815i	0.198644	−	0.249092i	0.871170	+	0.490982i	$0.163362\pi$
$450$	−28.6186	−	8.82766i	−1.34909	−	0.416140i
$451$	−1.21041	+	3.08408i	−0.0569960	+	0.145224i
$452$	−37.5351	+	11.5780i	−1.76550	+	0.544585i
$453$	−0.246084	+	3.28377i	−0.0115620	+	0.154285i
$454$	13.5771	−	59.4852i	0.637205	−	2.79178i
$455$	−16.4632	+	4.81961i	−0.771805	+	0.225947i
$456$	−4.92656	−	21.5847i	−0.230707	−	1.01080i
$457$	4.90668	−	0.739563i	0.229525	−	0.0345953i	−0.0332728	−	0.999446i	$-0.510593\pi$
$457$	4.90668	−	0.739563i	0.229525	−	0.0345953i	0.262797	+	0.964851i	$0.415355\pi$
$458$	−14.7429	−	10.0515i	−0.688889	−	0.469676i
$459$	−2.14015	−	3.70684i	−0.0998934	−	0.173021i
$460$	−15.2511	+	26.4157i	−0.711086	+	1.23164i
$461$	35.4998	−	17.0958i	1.65339	−	0.796231i	0.654188	−	0.756332i	$-0.273011\pi$
$461$	35.4998	−	17.0958i	1.65339	−	0.796231i	0.999204	−	0.0398990i	$-0.0127036\pi$
$462$	−10.9149	−	5.45139i	−0.507805	−	0.253622i
$463$	6.40555	+	3.08475i	0.297691	+	0.143360i	0.576767	−	0.816909i	$-0.304314\pi$
$463$	6.40555	+	3.08475i	0.297691	+	0.143360i	−0.279076	+	0.960269i	$0.590028\pi$
$464$	−0.0544709	+	0.0371376i	−0.00252875	+	0.00172407i
$465$	7.79421	−	7.23197i	0.361448	−	0.335375i
$466$	10.2579	−	9.51797i	0.475190	−	0.440912i
$467$	−9.27934	+	6.32655i	−0.429397	+	0.292758i	−0.758668	−	0.651478i	$-0.774149\pi$
$467$	−9.27934	+	6.32655i	−0.429397	+	0.292758i	0.329271	+	0.944235i	$0.393197\pi$
$468$	−66.0278	−	31.7973i	−3.05213	−	1.46983i
$469$	−12.8164	−	16.5550i	−0.591808	−	0.764441i
$470$	−18.5365	+	8.92669i	−0.855023	+	0.411757i
$471$	14.3741	−	24.8967i	0.662323	−	1.14718i
$472$	20.0738	+	34.7688i	0.923970	+	1.60036i
$473$	3.72219	+	2.53775i	0.171147	+	0.116686i
$474$	−69.8271	+	10.5247i	−3.20727	+	0.483417i
$475$	−1.21224	−	5.31115i	−0.0556212	−	0.243692i
$476$	−2.86293	+	6.99655i	−0.131222	+	0.320686i
$477$	10.0253	−	43.9238i	0.459028	−	2.01113i
$478$	1.06402	−	14.1984i	0.0486673	−	0.649419i
$479$	−23.9595	+	7.39053i	−1.09474	+	0.337682i	−0.788975	−	0.614426i	$-0.789388\pi$
$479$	−23.9595	+	7.39053i	−1.09474	+	0.337682i	−0.305763	+	0.952108i	$0.598912\pi$
$480$	−5.66664	+	14.4384i	−0.258646	+	0.659018i
$481$	38.4031	+	11.8458i	1.75103	+	0.540122i
$482$	−10.7541	+	13.4853i	−0.489838	+	0.614237i
$483$	34.0140	−	22.4795i	1.54769	−	1.02285i
$484$	−23.4807	−	29.4439i	−1.06731	−	1.33836i
$485$	6.66130	+	16.9727i	0.302474	+	0.770692i
$486$	2.66167	+	35.5175i	0.120736	+	1.61111i
$487$	10.1960	+	1.53679i	0.462023	+	0.0696388i	0.375930	−	0.926648i	$-0.377323\pi$
$487$	10.1960	+	1.53679i	0.462023	+	0.0696388i	0.0860937	+	0.996287i	$0.472562\pi$
$488$	13.0518	+	12.1103i	0.590827	+	0.548208i
$489$	−14.9852			−0.677652
$490$	−2.65871	+	25.5682i	−0.120108	+	1.15506i
$491$	−10.2368			−0.461979			−0.230989	−	0.972956i	$-0.574196\pi$
$491$	−10.2368			−0.461979			−0.230989	+	0.972956i	$0.574196\pi$
$492$	35.2255	+	32.6845i	1.58809	+	1.47353i
$493$	−0.0313575	−	0.00472638i	−0.00141227	−	0.000212865i
$494$	−1.55265	−	20.7187i	−0.0698571	−	0.932178i
$495$	1.93476	+	4.92969i	0.0869611	+	0.221573i
$496$	−2.51591	−	3.15485i	−0.112968	−	0.141657i
$497$	8.66400	+	2.80980i	0.388634	+	0.126037i
$498$	38.3068	−	48.0353i	1.71657	−	2.15251i
$499$	23.2549	+	7.17318i	1.04103	+	0.321116i	0.767704	−	0.640805i	$-0.221399\pi$
$499$	23.2549	+	7.17318i	1.04103	+	0.321116i	0.273328	+	0.961921i	$0.411876\pi$
$500$	15.4209	−	39.2917i	0.689642	−	1.75718i
$501$	4.11788	−	1.27020i	0.183973	−	0.0567483i
$502$	0.523221	−	6.98190i	0.0233525	−	0.311617i
$503$	−3.01324	+	13.2019i	−0.134354	+	0.588642i	0.862264	+	0.506460i	$0.169046\pi$
$503$	−3.01324	+	13.2019i	−0.134354	+	0.588642i	−0.996617	+	0.0821824i	$0.973811\pi$
$504$	−36.0074	+	32.4574i	−1.60390	+	1.44577i
$505$	−6.47153	−	28.3536i	−0.287980	−	1.26172i
$506$	−8.88623	+	1.33938i	−0.395041	+	0.0595429i
$507$	−10.2125	−	6.96276i	−0.453553	−	0.309227i
$508$	−25.1848	−	43.6213i	−1.11739	−	1.93538i
$509$	−21.5379	+	37.3047i	−0.954650	+	1.65350i	−0.219484	+	0.975616i	$0.570437\pi$
$509$	−21.5379	+	37.3047i	−0.954650	+	1.65350i	−0.735166	+	0.677887i	$0.762896\pi$
$510$	7.42460	−	3.57550i	0.328767	−	0.158326i
$511$	4.23070	−	5.15112i	0.187155	−	0.227872i
$512$	16.4650	+	7.92911i	0.727656	+	0.350421i
$513$	9.34532	−	6.37153i	0.412606	−	0.281310i
$514$	−45.1833	+	41.9240i	−1.99295	+	1.84919i
$515$	8.57333	−	7.95489i	0.377786	−	0.350534i
$516$	53.9867	−	36.8075i	2.37663	−	1.62036i
$517$	−3.50398	−	1.68743i	−0.154105	−	0.0742131i
$518$	38.2235	−	46.5393i	1.67944	−	2.04482i
$519$	14.0358	−	6.75928i	0.616103	−	0.296700i
$520$	12.1038	−	20.9644i	0.530788	−	0.919352i
$521$	−7.71291	−	13.3592i	−0.337909	−	0.585275i	0.646130	−	0.763227i	$-0.276386\pi$
$521$	−7.71291	−	13.3592i	−0.337909	−	0.585275i	−0.984039	+	0.177952i	$0.943053\pi$
$522$	−0.380634	−	0.259512i	−0.0166599	−	0.0113585i
$523$	−14.3006	+	2.15547i	−0.625322	+	0.0942521i	−0.454057	−	0.890973i	$-0.650024\pi$
$523$	−14.3006	+	2.15547i	−0.625322	+	0.0942521i	−0.171265	+	0.985225i	$0.554786\pi$
$524$	−11.2629	−	49.3459i	−0.492022	−	2.15569i
$525$	−14.2763	+	12.8688i	−0.623070	+	0.561640i
$526$	2.60421	−	11.4098i	0.113549	−	0.497491i
$527$	0.145051	−	1.93557i	0.00631853	−	0.0843150i
$528$	3.09459	−	0.954554i	0.134675	−	0.0415416i
$529$	2.56872	−	6.54500i	0.111684	−	0.284565i
$530$	32.2163	+	9.93742i	1.39939	+	0.431654i
$531$	−32.9010	+	41.2566i	−1.42778	+	1.79038i
$532$	−19.0021	−	6.16251i	−0.823844	−	0.267179i
$533$	12.4111	+	15.5630i	0.537583	+	0.674107i
$534$	0.0642003	+	0.163580i	0.00277822	+	0.00707878i
$535$	−0.559381	−	7.46443i	−0.0241842	−	0.322715i
$536$	29.2150	+	4.40346i	1.26190	+	0.190200i
$537$	26.2699	+	24.3749i	1.13363	+	1.05186i
$538$	38.1189			1.64342
$539$	−4.09211	+	2.62053i	−0.176260	+	0.112874i
$540$	29.8546			1.28474
$541$	−6.81561	−	6.32396i	−0.293026	−	0.271888i	0.519936	−	0.854205i	$-0.325956\pi$
$541$	−6.81561	−	6.32396i	−0.293026	−	0.271888i	−0.812962	+	0.582317i	$0.802146\pi$
$542$	4.08917	+	0.616343i	0.175645	+	0.0264742i
$543$	3.85675	+	51.4648i	0.165509	+	2.20857i
$544$	1.03446	+	2.63576i	0.0443521	+	0.113007i
$545$	−11.4279	−	14.3302i	−0.489519	−	0.613837i
$546$	−61.1544	+	40.4163i	−2.61717	+	1.72966i
$547$	−0.922752	+	1.15709i	−0.0394540	+	0.0494738i	−0.801167	−	0.598441i	$-0.795787\pi$
$547$	−0.922752	+	1.15709i	−0.0394540	+	0.0494738i	0.761713	+	0.647915i	$0.224359\pi$
$548$	8.46031	+	2.60966i	0.361406	+	0.111479i
$549$	−8.54979	+	21.7845i	−0.364896	+	0.929741i
$550$	4.04825	−	1.24872i	0.172618	−	0.0532456i
$551$	0.00626224	−	0.0835638i	0.000266780	−	0.00355994i
$552$	−12.8028	+	56.0929i	−0.544925	+	2.38747i
$553$	−10.6514	+	26.0303i	−0.452944	+	1.10692i
$554$	−8.50222	−	37.2507i	−0.361225	−	1.58263i
$555$	−41.6510	+	6.27788i	−1.76799	+	0.266481i
$556$	−7.93439	−	5.40957i	−0.336493	−	0.229417i
$557$	−7.54680	−	13.0714i	−0.319768	−	0.553855i	0.660671	−	0.750675i	$-0.270272\pi$
$557$	−7.54680	−	13.0714i	−0.319768	−	0.553855i	−0.980440	+	0.196820i	$0.936938\pi$
$558$	14.0987	−	24.4197i	0.596846	−	1.03377i
$559$	24.3864	−	11.7439i	1.03144	−	0.496713i
$560$	−4.17700	−	5.39545i	−0.176511	−	0.227999i
$561$	1.40349	+	0.675884i	0.0592553	+	0.0285358i
$562$	7.53922	−	5.14015i	0.318023	−	0.216824i
$563$	12.2577	−	11.3734i	0.516598	−	0.479333i	−0.378250	−	0.925704i	$-0.623474\pi$
$563$	12.2577	−	11.3734i	0.516598	−	0.479333i	0.894848	+	0.446370i	$0.147284\pi$
$564$	−41.3500	+	38.3672i	−1.74115	+	1.61555i
$565$	14.0908	−	9.60696i	0.592805	−	0.404168i
$566$	−63.7342	−	30.6928i	−2.67895	−	1.29011i
$567$	−0.853443	−	0.426250i	−0.0358413	−	0.0179008i
$568$	−11.5805	+	5.57688i	−0.485907	+	0.234001i
$569$	14.4235	−	24.9822i	0.604664	−	1.04731i	−0.387440	−	0.921895i	$-0.626641\pi$
$569$	14.4235	−	24.9822i	0.604664	−	1.04731i	0.992104	−	0.125415i	$-0.0400261\pi$
$570$	10.8880	+	18.8586i	0.456049	+	0.789900i
$571$	11.3766	+	7.75642i	0.476095	+	0.324596i	0.777481	−	0.628906i	$-0.216497\pi$
$571$	11.3766	+	7.75642i	0.476095	+	0.324596i	−0.301386	+	0.953502i	$0.597449\pi$
$572$	10.2508	−	1.54506i	0.428608	−	0.0646023i
$573$	−12.3170	−	53.9642i	−0.514549	−	2.25439i
$574$	28.6280	−	8.38088i	1.19491	−	0.349811i
$575$	−3.15028	+	13.8023i	−0.131376	+	0.575595i
$576$	−4.29075	+	57.2561i	−0.178781	+	2.38567i
$577$	20.8094	−	6.41885i	0.866307	−	0.267220i	0.170420	−	0.985372i	$-0.445488\pi$
$577$	20.8094	−	6.41885i	0.866307	−	0.267220i	0.695887	+	0.718151i	$0.255011\pi$
$578$	−14.1222	+	35.9828i	−0.587407	+	1.49669i
$579$	−41.8680	−	12.9146i	−1.73998	−	0.536711i
$580$	0.137907	−	0.172930i	0.00572628	−	0.00718052i
$581$	−8.61098	−	22.9053i	−0.357244	−	0.950272i
$582$	48.5784	+	60.9154i	2.01364	+	2.52502i
$583$	2.32834	+	5.93251i	0.0964299	+	0.245699i
$584$	0.702961	+	9.38037i	0.0290887	+	0.388162i
$585$	31.4627	+	4.74224i	1.30082	+	0.196067i
$586$	−21.3609	−	19.8200i	−0.882410	−	0.818757i
$587$	25.3416			1.04596			0.522979	−	0.852345i	$-0.324820\pi$
$587$	25.3416			1.04596			0.522979	+	0.852345i	$0.324820\pi$
$588$	13.6971	+	69.1353i	0.564857	+	2.85109i
$589$	5.12910			0.211341
$590$	−28.9467	−	26.8586i	−1.19172	−	1.10575i
$591$	45.0993	+	6.79762i	1.85514	+	0.279617i
$592$	1.19461	+	15.9410i	0.0490984	+	0.655172i
$593$	−0.851564	−	2.16975i	−0.0349696	−	0.0891010i	0.912322	−	0.409473i	$-0.134287\pi$
$593$	−0.851564	−	2.16975i	−0.0349696	−	0.0891010i	−0.947292	+	0.320372i	$0.896192\pi$
$594$	5.48410	+	6.87685i	0.225015	+	0.282160i
$595$	0.292399	−	3.26910i	0.0119872	−	0.134020i
$596$	6.06632	−	7.60692i	0.248486	−	0.311592i
$597$	−59.0247	−	18.2067i	−2.41572	−	0.745150i
$598$	−19.7260	+	50.2610i	−0.806656	+	2.05533i
$599$	19.4122	−	5.98787i	0.793160	−	0.244658i	0.128408	−	0.991721i	$-0.459013\pi$
$599$	19.4122	−	5.98787i	0.793160	−	0.244658i	0.664752	+	0.747064i	$0.268537\pi$
$600$	2.02693	−	27.0475i	0.0827491	−	1.10421i
$601$	−5.83473	+	25.5636i	−0.238004	+	1.04276i	0.704798	+	0.709408i	$0.251038\pi$
$601$	−5.83473	+	25.5636i	−0.238004	+	1.04276i	−0.942802	+	0.333354i	$0.891820\pi$
$602$	−2.44812	−	40.4867i	−0.0997777	−	1.65012i
$603$	8.64125	+	37.8598i	0.351899	+	1.54177i
$604$	−4.14607	+	0.624920i	−0.168701	+	0.0254276i
$605$	13.5097	+	9.21074i	0.549246	+	0.374470i
$606$	−62.1383	−	107.627i	−2.52420	−	4.37203i
$607$	−9.93633	+	17.2102i	−0.403303	+	0.698541i	−0.994122	−	0.108263i	$-0.965471\pi$
$607$	−9.93633	+	17.2102i	−0.403303	+	0.698541i	0.590819	+	0.806804i	$0.298805\pi$
$608$	−6.74126	+	3.24642i	−0.273394	+	0.131660i
$609$	−0.268192	+	0.124427i	−0.0108677	+	0.00504204i
$610$	−15.7780	−	7.59827i	−0.638832	−	0.307645i
$611$	−19.3065	+	13.1629i	−0.781056	+	0.532515i
$612$	10.2788	−	9.53729i	0.415494	−	0.385522i
$613$	−14.5834	+	13.5314i	−0.589018	+	0.546529i	−0.917375	−	0.398025i	$-0.869696\pi$
$613$	−14.5834	+	13.5314i	−0.589018	+	0.546529i	0.328357	+	0.944554i	$0.393505\pi$
$614$	−9.76434	+	6.65721i	−0.394057	+	0.268663i
$615$	−18.7971	−	9.05219i	−0.757971	−	0.365019i
$616$	1.62205	−	6.66273i	0.0653543	−	0.268449i
$617$	19.5919	−	9.43496i	0.788740	−	0.379837i	0.00425965	−	0.999991i	$-0.498644\pi$
$617$	19.5919	−	9.43496i	0.788740	−	0.379837i	0.784480	+	0.620154i	$0.212930\pi$
$618$	24.9884	−	43.2811i	1.00518	−	1.74102i
$619$	−13.2441	−	22.9395i	−0.532327	−	0.922017i	−0.999288	−	0.0377391i	$-0.987984\pi$
$619$	−13.2441	−	22.9395i	−0.532327	−	0.922017i	0.466961	−	0.884278i	$-0.345349\pi$
$620$	11.1859	+	7.62640i	0.449235	+	0.306284i
$621$	−29.0652	+	4.38087i	−1.16635	+	0.175798i
$622$	15.7695	+	69.0906i	0.632299	+	2.77028i
$623$	0.0690503	+	0.0114273i	0.00276644	+	0.000457825i
$624$	4.32967	−	18.9695i	0.173326	−	0.759389i
$625$	−0.404211	+	5.39382i	−0.0161685	+	0.215753i
$626$	−2.31372	+	0.713687i	−0.0924747	+	0.0285247i
$627$	−1.50388	+	3.83182i	−0.0600591	+	0.153028i
$628$	34.9785	+	10.7894i	1.39579	+	0.430545i
$629$	−4.79426	+	6.01181i	−0.191160	+	0.239707i
$630$	24.4327	−	40.9448i	0.973420	−	1.63128i
$631$	0.0524457	+	0.0657648i	0.00208783	+	0.00261806i	0.782874	−	0.622180i	$-0.213753\pi$
$631$	0.0524457	+	0.0657648i	0.00208783	+	0.00261806i	−0.780786	+	0.624798i	$0.785181\pi$
$632$	−14.5004	−	36.9463i	−0.576793	−	1.46965i
$633$	−5.81270	−	77.5650i	−0.231034	−	3.08293i
$634$	1.09261	+	0.164684i	0.0433930	+	0.00654044i
$635$	16.0310	+	14.8746i	0.636170	+	0.590280i
$636$	92.4349			3.66528
$637$	1.34215	+	29.1647i	0.0531780	+	1.15555i
$638$	0.0651661			0.00257995
$639$	−12.3844	−	11.4910i	−0.489918	−	0.454578i
$640$	−31.5774	−	4.75953i	−1.24821	−	0.188137i
$641$	2.47475	+	33.0232i	0.0977466	+	1.30434i	0.803255	+	0.595635i	$0.203100\pi$
$641$	2.47475	+	33.0232i	0.0977466	+	1.30434i	−0.705508	+	0.708702i	$0.749281\pi$
$642$	−11.6859	−	29.7753i	−0.461207	−	1.17514i
$643$	−5.03595	−	6.31488i	−0.198598	−	0.249034i	0.672553	−	0.740049i	$-0.265198\pi$
$643$	−5.03595	−	6.31488i	−0.198598	−	0.249034i	−0.871151	+	0.491014i	$0.836626\pi$
$644$	37.5425	+	35.8545i	1.47938	+	1.41287i
$645$	−17.6876	+	22.1795i	−0.696447	+	0.873317i
$646$	3.79867	+	1.17173i	0.149457	+	0.0461012i
$647$	10.3838	−	26.4574i	0.408228	−	1.04015i	−0.567928	−	0.823079i	$-0.692255\pi$
$647$	10.3838	−	26.4574i	0.408228	−	1.04015i	0.976156	−	0.217070i	$-0.0696501\pi$
$648$	1.28641	−	0.396806i	0.0505351	−	0.0155880i
$649$	0.557822	−	7.44361i	0.0218964	−	0.292187i
$650$	5.66395	−	24.8154i	0.222158	−	0.973339i
$651$	−8.82135	−	15.8004i	−0.345736	−	0.619267i
$652$	−4.24579	−	18.6020i	−0.166278	−	0.728512i
$653$	16.0697	−	2.42212i	0.628858	−	0.0947851i	0.173122	−	0.984900i	$-0.444614\pi$
$653$	16.0697	−	2.42212i	0.628858	−	0.0947851i	0.455735	+	0.890115i	$0.349376\pi$
$654$	−64.7138	−	44.1211i	−2.53051	−	1.72527i
$655$	10.9877	+	19.0312i	0.429324	+	0.743612i
$656$	−3.95894	+	6.85708i	−0.154571	+	0.267724i
$657$	−11.1395	+	5.36452i	−0.434595	+	0.209290i
$658$	7.29916	+	34.2466i	0.284551	+	1.33507i
$659$	−16.7515	−	8.06711i	−0.652547	−	0.314250i	0.0781604	−	0.996941i	$-0.475095\pi$
$659$	−16.7515	−	8.06711i	−0.652547	−	0.314250i	−0.730707	+	0.682691i	$0.760810\pi$
$660$	−8.97723	+	6.12058i	−0.349438	+	0.238243i
$661$	−18.5238	+	17.1876i	−0.720494	+	0.668520i	−0.952619	−	0.304165i	$-0.901622\pi$
$661$	−18.5238	+	17.1876i	−0.720494	+	0.668520i	0.232126	+	0.972686i	$0.425432\pi$
$662$	22.1969	−	20.5957i	0.862706	−	0.800474i
$663$	7.73302	−	5.27229i	0.300326	−	0.204759i
$664$	31.1125	+	14.9830i	1.20740	+	0.581453i
$665$	8.67218	+	0.124942i	0.336293	+	0.00484506i
$666$	−100.643	+	48.4673i	−3.89985	+	1.87807i
$667$	−0.108885	+	0.188594i	−0.00421603	+	0.00730237i
$668$	2.74351	+	4.75190i	0.106150	+	0.183857i
$669$	−5.30835	−	3.61917i	−0.205233	−	0.139925i
$670$	−28.7351	+	4.33111i	−1.11013	+	0.167326i
$671$	−0.736627	−	3.22737i	−0.0284372	−	0.124591i
$672$	21.5947	+	15.1833i	0.833035	+	0.585709i
$673$	−10.4442	+	45.7591i	−0.402595	+	1.76389i	0.214228	+	0.976784i	$0.431276\pi$
$673$	−10.4442	+	45.7591i	−0.402595	+	1.76389i	−0.616823	+	0.787102i	$0.711581\pi$
$674$	−2.59775	+	34.6645i	−0.100061	+	1.33523i
$675$	13.2411	−	4.08433i	0.509649	−	0.157206i
$676$	5.74978	−	14.6502i	0.221145	−	0.563469i
$677$	−6.70509	−	2.06825i	−0.257698	−	0.0794892i	0.163214	−	0.986591i	$-0.447814\pi$
$677$	−6.70509	−	2.06825i	−0.257698	−	0.0794892i	−0.420912	+	0.907101i	$0.638290\pi$
$678$	45.4373	−	56.9766i	1.74501	−	2.18817i
$679$	30.7487	−	4.18254i	1.18003	−	0.160511i
$680$	2.88783	+	3.62122i	0.110743	+	0.138867i
$681$	26.5348	+	67.6095i	1.01682	+	2.59080i
$682$	0.298074	+	3.97752i	0.0114138	+	0.152307i
$683$	44.3844	+	6.68988i	1.69832	+	0.255981i	0.925529	−	0.378676i	$-0.123621\pi$
$683$	44.3844	+	6.68988i	1.69832	+	0.255981i	0.772794	+	0.634657i	$0.218859\pi$
$684$	27.1616	+	25.2023i	1.03855	+	0.963635i
$685$	−3.84397			−0.146870
$686$	41.2107	+	14.6899i	1.57343	+	0.560865i
$687$	21.2401			0.810361
$688$	7.89227	+	7.32296i	0.300890	+	0.279185i
$689$	37.8629	+	5.70692i	1.44246	+	0.217416i
$690$	−4.22899	−	56.4319i	−0.160995	−	2.14833i
$691$	−18.5412	−	47.2421i	−0.705339	−	1.79717i	−0.595708	−	0.803201i	$-0.703128\pi$
$691$	−18.5412	−	47.2421i	−0.705339	−	1.79717i	−0.109631	−	0.993972i	$-0.534967\pi$
$692$	12.3675	+	15.5084i	0.470143	+	0.589541i
$693$	8.93091	−	1.21481i	0.339257	−	0.0461468i
$694$	−48.5053	+	60.8237i	−1.84123	+	2.30884i
$695$	3.98409	+	1.22893i	0.151125	+	0.0466159i
$696$	0.152426	−	0.388376i	0.00577770	−	0.0147213i
$697$	−3.63942	+	1.12261i	−0.137853	+	0.0425220i
$698$	−1.45847	+	19.4620i	−0.0552041	+	0.736647i
$699$	−3.70661	+	16.2397i	−0.140197	+	0.614243i
$700$	−20.0198	−	14.0760i	−0.756678	−	0.532022i
$701$	2.81197	+	12.3201i	0.106207	+	0.465322i	0.999863	+	0.0165696i	$0.00527450\pi$
$701$	2.81197	+	12.3201i	0.106207	+	0.465322i	−0.893656	+	0.448753i	$0.851868\pi$
$702$	52.2568	−	7.87645i	1.97231	−	0.297277i
$703$	−16.7885	−	11.4462i	−0.633192	−	0.431703i
$704$	−4.06095	−	7.03377i	−0.153053	−	0.265095i
$705$	12.2453	−	21.2094i	0.461183	−	0.798792i
$706$	6.78367	−	3.26684i	0.255307	−	0.122949i
$707$	−49.4924	−	0.713050i	−1.86135	−	0.0268170i
$708$	−97.5434	−	46.9744i	−3.66591	−	1.76541i
$709$	18.1535	−	12.3769i	0.681769	−	0.464823i	−0.172257	−	0.985052i	$-0.555106\pi$
$709$	18.1535	−	12.3769i	0.681769	−	0.464823i	0.854026	+	0.520230i	$0.174154\pi$
$710$	9.26741	−	8.59890i	0.347800	−	0.322711i
$711$	38.2416	−	35.4830i	1.43417	−	1.33072i
$712$	−0.0816060	+	0.0556380i	−0.00305831	+	0.00208512i
$713$	−12.0092	−	5.78332i	−0.449747	−	0.216587i
$714$	−2.92361	−	13.7172i	−0.109413	−	0.513352i
$715$	−4.05512	+	1.95284i	−0.151653	+	0.0730321i
$716$	−22.8150	+	39.5167i	−0.852637	+	1.47681i
$717$	8.47435	+	14.6780i	0.316480	+	0.548160i
$718$	8.35251	+	5.69464i	0.311713	+	0.212522i
$719$	37.4117	−	5.63891i	1.39522	−	0.210296i	0.591981	−	0.805952i	$-0.298346\pi$
$719$	37.4117	−	5.63891i	1.39522	−	0.210296i	0.803240	+	0.595656i	$0.203108\pi$
$720$	2.81627	+	12.3389i	0.104956	+	0.459843i
$721$	−9.70314	−	17.3798i	−0.361364	−	0.647259i
$722$	7.65009	−	33.5172i	0.284707	−	1.24738i
$723$	1.53434	−	20.4744i	0.0570629	−	0.761451i
$724$	−62.7938	+	19.3693i	−2.33371	+	0.719855i
$725$	0.0375062	−	0.0955642i	0.00139294	−	0.00354917i
$726$	66.7661	+	20.5946i	2.47792	+	0.764338i
$727$	2.38311	−	2.98832i	0.0883846	−	0.110831i	−0.735673	−	0.677337i	$-0.763134\pi$
$727$	2.38311	−	2.98832i	0.0883846	−	0.110831i	0.824057	+	0.566506i	$0.191705\pi$
$728$	−29.7951	−	28.4555i	−1.10428	−	1.05463i
$729$	−27.1088	−	33.9933i	−1.00403	−	1.25901i
$730$	−3.38018	−	8.61256i	−0.125106	−	0.318765i
$731$	0.387010	+	5.16430i	0.0143141	+	0.191008i
$732$	−47.4774	−	7.15607i	−1.75482	−	0.264496i
$733$	−19.9769	−	18.5358i	−0.737862	−	0.684636i	0.218821	−	0.975765i	$-0.429779\pi$
$733$	−19.9769	−	18.5358i	−0.737862	−	0.684636i	−0.956684	+	0.291129i	$0.905969\pi$
$734$	−81.7568			−3.01770
$735$	−14.5301	−	26.9299i	−0.535950	−	0.993324i
$736$	19.4443			0.716728
$737$	−4.02680	−	3.73633i	−0.148329	−	0.137629i
$738$	−54.7109	−	8.24634i	−2.01394	−	0.303552i
$739$	−2.36871	−	31.6082i	−0.0871343	−	1.16273i	−0.853772	−	0.520647i	$-0.825691\pi$
$739$	−2.36871	−	31.6082i	−0.0871343	−	1.16273i	0.766638	−	0.642079i	$-0.221928\pi$
$740$	−19.5943	−	49.9253i	−0.720299	−	1.83529i
$741$	15.4201	+	19.3363i	0.566473	+	0.710335i
$742$	29.4028	−	49.2740i	1.07941	−	1.80890i
$743$	21.2921	−	26.6995i	0.781132	−	0.979509i	−0.218861	−	0.975756i	$-0.570234\pi$
$743$	21.2921	−	26.6995i	0.781132	−	0.979509i	0.999993	−	0.00375264i	$-0.00119451\pi$
$744$	24.4024	+	7.52714i	0.894635	+	0.275958i
$745$	−1.54330	+	3.93227i	−0.0565423	+	0.144067i
$746$	49.2287	−	15.1850i	1.80239	−	0.555964i
$747$	−3.39189	+	45.2617i	−0.124103	+	1.65604i
$748$	−0.441363	+	1.93374i	−0.0161378	+	0.0707045i
$749$	−12.5688	−	2.08004i	−0.459253	−	0.0760028i
$750$	17.4257	+	76.3472i	0.636298	+	2.78780i
$751$	−2.14418	+	0.323184i	−0.0782424	+	0.0117931i	−0.188047	−	0.982160i	$-0.560216\pi$
$751$	−2.14418	+	0.323184i	−0.0782424	+	0.0117931i	0.109804	+	0.993953i	$0.464978\pi$
$752$	−7.67948	−	5.23578i	−0.280042	−	0.190929i
$753$	4.16716	+	7.21774i	0.151860	+	0.263029i
$754$	0.195766	−	0.339076i	0.00712936	−	0.0123484i
$755$	1.64014	−	0.789852i	0.0596909	−	0.0287456i
$756$	12.0190	−	49.3692i	0.437127	−	1.79554i
$757$	40.7751	+	19.6363i	1.48200	+	0.713693i	0.987810	−	0.155663i	$-0.0497513\pi$
$757$	40.7751	+	19.6363i	1.48200	+	0.713693i	0.494188	+	0.869355i	$0.335466\pi$
$758$	−11.7453	+	8.00783i	−0.426609	+	0.290857i
$759$	7.84171	−	7.27605i	0.284636	−	0.264104i
$760$	−8.97205	+	8.32485i	−0.325451	+	0.301974i
$761$	−39.1162	+	26.6689i	−1.41796	+	0.966749i	−0.419707	+	0.907660i	$0.637867\pi$
$761$	−39.1162	+	26.6689i	−1.41796	+	0.966749i	−0.998253	+	0.0590890i	$0.981180\pi$
$762$	84.1953	+	40.5463i	3.05007	+	1.46884i
$763$	−28.2978	+	13.1287i	−1.02445	+	0.475292i
$764$	63.4994	−	30.5797i	2.29733	−	1.10633i
$765$	−3.04392	+	5.27222i	−0.110053	+	0.190618i
$766$	28.6505	+	49.6241i	1.03518	+	1.79299i
$767$	−37.0553	−	25.2639i	−1.33799	−	0.912226i
$768$	−69.8707	+	10.5313i	−2.52124	+	0.380016i
$769$	5.71133	+	25.0230i	0.205956	+	0.902351i	0.967226	+	0.253916i	$0.0817188\pi$
$769$	5.71133	+	25.0230i	0.205956	+	0.902351i	−0.761271	+	0.648434i	$0.775424\pi$
$770$	0.407087	+	6.73238i	0.0146704	+	0.242618i
$771$	16.3266	−	71.5314i	0.587987	−	2.57614i
$772$	4.16909	−	55.6326i	0.150049	−	2.00226i
$773$	21.9342	−	6.76579i	0.788917	−	0.243349i	0.125989	−	0.992032i	$-0.459790\pi$
$773$	21.9342	−	6.76579i	0.788917	−	0.243349i	0.662928	+	0.748683i	$0.269313\pi$
$774$	−27.4858	+	70.0327i	−0.987957	+	2.51727i
$775$	6.00448	+	1.85214i	0.215687	+	0.0665307i
$776$	−27.3037	+	34.2377i	−0.980145	+	1.22906i
$777$	−6.38660	+	71.4037i	−0.229118	+	2.56159i
$778$	30.2073	+	37.8788i	1.08298	+	1.35802i
$779$	−3.67691	−	9.36860i	−0.131739	−	0.335665i
$780$	4.87840	+	65.0977i	0.174675	+	2.33087i
$781$	2.36309	+	0.356179i	0.0845581	+	0.0127451i
$782$	−7.57293	−	7.02666i	−0.270808	−	0.251273i
$783$	0.213146			0.00761721
$784$	−10.6038	+	4.73519i	−0.378707	+	0.169114i
$785$	−15.8926			−0.567230
$786$	68.8373	+	63.8717i	2.45534	+	2.27823i
$787$	−17.0174	−	2.56495i	−0.606603	−	0.0914307i	−0.161444	−	0.986882i	$-0.551615\pi$
$787$	−17.0174	−	2.56495i	−0.606603	−	0.0914307i	−0.445160	+	0.895451i	$0.646853\pi$
$788$	4.33980	+	57.9106i	0.154599	+	2.06298i
$789$	5.08962	+	12.9681i	0.181195	+	0.461678i
$790$	24.3397	+	30.5210i	0.865968	+	1.08589i
$791$	−10.2138	−	27.1689i	−0.363162	−	0.966016i
$792$	−7.93030	+	9.94428i	−0.281791	+	0.353355i
$793$	−19.0058	−	5.86250i	−0.674915	−	0.208184i
$794$	3.84632	−	9.80025i	0.136501	−	0.347798i
$795$	−38.3492	+	11.8292i	−1.36011	+	0.419538i
$796$	5.87749	−	78.4296i	0.208322	−	2.77986i
$797$	−5.96330	+	26.1269i	−0.211231	+	0.925464i	0.752501	+	0.658591i	$0.228847\pi$
$797$	−5.96330	+	26.1269i	−0.211231	+	0.925464i	−0.963732	+	0.266872i	$0.914010\pi$
$798$	35.5689	−	10.4128i	1.25913	−	0.368610i
$799$	−0.994849	−	4.35872i	−0.0351952	−	0.154200i
$800$	−9.06407	+	1.36619i	−0.320463	+	0.0483021i
$801$	−0.107261	−	0.0731296i	−0.00378990	−	0.00258391i
$802$	37.0694	+	64.2061i	1.30897	+	2.26720i
$803$	0.874474	−	1.51463i	0.0308595	−	0.0534502i
$804$	−71.7833	+	34.5690i	−2.53160	+	1.21916i
$805$	−20.1640	−	10.0709i	−0.710688	−	0.354951i
$806$	21.5915	+	10.3979i	0.760529	+	0.366252i
$807$	−37.4910	+	25.5609i	−1.31974	+	0.899787i
$808$	51.2038	−	47.5102i	1.80134	−	1.67140i
$809$	−15.7266	+	14.5922i	−0.552918	+	0.513033i	−0.906407	−	0.422406i	$-0.861186\pi$
$809$	−15.7266	+	14.5922i	−0.552918	+	0.513033i	0.353489	+	0.935439i	$0.384995\pi$
$810$	−1.09403	+	0.745896i	−0.0384402	+	0.0262081i
$811$	−28.1304	−	13.5469i	−0.987791	−	0.475695i	−0.131013	−	0.991381i	$-0.541823\pi$
$811$	−28.1304	−	13.5469i	−0.987791	−	0.475695i	−0.856778	+	0.515686i	$0.827537\pi$
$812$	−0.230447	−	0.297669i	−0.00808710	−	0.0104461i
$813$	−4.43510	+	2.13583i	−0.155546	+	0.0749070i
$814$	7.90069	−	13.6844i	0.276919	−	0.479638i
$815$	4.14205	+	7.17424i	0.145090	+	0.251303i
$816$	3.07594	+	2.09714i	0.107680	+	0.0734147i
$817$	−13.5321	+	2.03963i	−0.473428	+	0.0713577i
$818$	−7.30306	−	31.9968i	−0.255345	−	1.11874i
$819$	20.5084	−	50.1192i	0.716621	−	1.75131i
$820$	5.91123	−	25.8988i	0.206429	−	0.904425i
$821$	1.65734	−	22.1157i	0.0578416	−	0.771843i	−0.890579	−	0.454828i	$-0.849701\pi$
$821$	1.65734	−	22.1157i	0.0578416	−	0.771843i	0.948421	−	0.317014i	$-0.102680\pi$
$822$	−15.6963	+	4.84165i	−0.547470	+	0.168872i
$823$	0.290456	−	0.740069i	0.0101247	−	0.0257972i	−0.925722	−	0.378205i	$-0.876542\pi$
$823$	0.290456	−	0.740069i	0.0101247	−	0.0257972i	0.935847	+	0.352407i	$0.114637\pi$
$824$	26.8417	+	8.27956i	0.935075	+	0.288432i
$825$	−3.14423	+	3.94273i	−0.109468	+	0.137268i
$826$	−56.0683	+	37.0550i	−1.95087	+	1.28931i
$827$	−2.16118	−	2.71004i	−0.0751516	−	0.0942372i	0.742835	−	0.669475i	$-0.233481\pi$
$827$	−2.16118	−	2.71004i	−0.0751516	−	0.0942372i	−0.817986	+	0.575238i	$0.804909\pi$
$828$	−35.1789	−	89.6343i	−1.22255	−	3.11501i
$829$	−1.86469	−	24.8826i	−0.0647635	−	0.864208i	−0.931104	−	0.364754i	$-0.881153\pi$
$829$	−1.86469	−	24.8826i	−0.0647635	−	0.864208i	0.866340	−	0.499454i	$-0.166466\pi$
$830$	−33.5856	−	5.06221i	−1.16577	−	0.175712i
$831$	33.3409	+	30.9358i	1.15658	+	1.07315i
$832$	−48.7981			−1.69177
$833$	−5.28824	−	1.79961i	−0.183227	−	0.0623529i
$834$	17.8163			0.616929
$835$	−1.74634	−	1.62037i	−0.0604346	−	0.0560751i
$836$	−5.18278	−	0.781179i	−0.179250	−	0.0270176i
$837$	0.974944	+	13.0097i	0.0336990	+	0.449682i
$838$	−11.9077	−	30.3403i	−0.411345	−	1.04809i
$839$	7.60123	+	9.53164i	0.262424	+	0.329069i	0.895534	−	0.444992i	$-0.146794\pi$
$839$	7.60123	+	9.53164i	0.262424	+	0.329069i	−0.633111	+	0.774061i	$0.718222\pi$
$840$	41.0757	+	13.3212i	1.41725	+	0.459624i
$841$	−18.0802	+	22.6719i	−0.623456	+	0.781789i
$842$	19.3772	+	5.97707i	0.667782	+	0.205983i
$843$	−3.96826	+	10.1110i	−0.136674	+	0.348240i
$844$	94.6395	−	29.1924i	3.25763	−	1.00484i
$845$	−0.510629	+	6.81387i	−0.0175662	+	0.234404i
$846$	14.4524	−	63.3201i	0.496884	−	2.17699i
$847$	20.6701	−	18.6322i	0.710235	−	0.640211i
$848$	3.38916	+	14.8489i	0.116384	+	0.509913i
$849$	83.2656	−	12.5503i	2.85767	−	0.430724i
$850$	4.02386	+	2.74342i	0.138017	+	0.0940986i
$851$	26.4022	+	45.7299i	0.905055	+	1.56760i
$852$	17.3307	−	30.0177i	0.593741	−	1.02839i
$853$	16.8204	−	8.10030i	0.575921	−	0.277349i	−0.123165	−	0.992386i	$-0.539305\pi$
$853$	16.8204	−	8.10030i	0.575921	−	0.277349i	0.699086	+	0.715037i	$0.253590\pi$
$854$	−18.9169	+	23.0324i	−0.647322	+	0.788151i
$855$	−14.4940	−	6.97994i	−0.495684	−	0.238709i
$856$	14.8542	−	10.1274i	0.507706	−	0.346148i
$857$	−29.5085	+	27.3799i	−1.00799	+	0.935280i	−0.997907	−	0.0646690i	$-0.979401\pi$
$857$	−29.5085	+	27.3799i	−1.00799	+	0.935280i	−0.0100855	+	0.999949i	$0.503210\pi$
$858$	−14.0988	+	13.0817i	−0.481324	+	0.446603i
$859$	3.88072	−	2.64583i	0.132409	−	0.0902746i	−0.495304	−	0.868719i	$-0.664944\pi$
$859$	3.88072	−	2.64583i	0.132409	−	0.0902746i	0.627713	+	0.778445i	$0.283991\pi$
$860$	−32.5443	−	15.6725i	−1.10975	−	0.534428i
$861$	−22.5366	+	27.4396i	−0.768044	+	0.935137i
$862$	31.9009	−	15.3627i	1.08655	−	0.523254i
$863$	0.875413	−	1.51626i	0.0297994	−	0.0516141i	−0.850741	−	0.525585i	$-0.823846\pi$
$863$	0.875413	−	1.51626i	0.0297994	−	0.0516141i	0.880541	+	0.473971i	$0.157180\pi$
$864$	−9.51577	−	16.4818i	−0.323733	−	0.560722i
$865$	−7.11568	−	4.85139i	−0.241941	−	0.164952i
$866$	28.7209	−	4.32899i	0.975978	−	0.147105i
$867$	−10.2390	−	44.8599i	−0.347734	−	1.52352i
$868$	17.1147	−	15.4273i	0.580910	−	0.523636i
$869$	−1.64207	+	7.19439i	−0.0557035	+	0.244053i
$870$	−0.0306664	+	0.409215i	−0.00103969	+	0.0138737i
$871$	−31.5380	+	9.72819i	−1.06862	+	0.329627i
$872$	16.0830	−	40.9789i	0.544640	−	1.38772i
$873$	−55.0018	−	16.9658i	−1.86153	−	0.574206i
$874$	17.0206	−	21.3431i	0.575730	−	0.721942i
$875$	29.6688	+	9.62181i	1.00299	+	0.325276i
$876$	−15.8159	−	19.8325i	−0.534370	−	0.670079i
$877$	−6.21546	−	15.8367i	−0.209881	−	0.534769i	0.786705	−	0.617329i	$-0.211785\pi$
$877$	−6.21546	−	15.8367i	−0.209881	−	0.534769i	−0.996586	+	0.0825607i	$0.973690\pi$
$878$	−0.713440	−	9.52019i	−0.0240774	−	0.321291i
$879$	34.2995	+	5.16981i	1.15689	+	0.174373i
$880$	−1.31237	−	1.21771i	−0.0442401	−	0.0410488i
$881$	−39.7542			−1.33935			−0.669676	−	0.742653i	$-0.733567\pi$
$881$	−39.7542			−1.33935			−0.669676	+	0.742653i	$0.733567\pi$
$882$	−57.8724	−	56.8869i	−1.94866	−	1.91548i
$883$	−36.2060			−1.21843			−0.609215	−	0.793005i	$-0.708515\pi$
$883$	−36.2060			−1.21843			−0.609215	+	0.793005i	$0.708515\pi$
$884$	8.73585	+	8.10568i	0.293818	+	0.272624i
$885$	46.4801	+	7.00575i	1.56241	+	0.235496i
$886$	−2.19099	−	29.2367i	−0.0736078	−	0.982227i
$887$	10.8406	+	27.6214i	0.363992	+	0.927436i	0.989146	+	0.146935i	$0.0469407\pi$
$887$	10.8406	+	27.6214i	0.363992	+	0.927436i	−0.625155	+	0.780501i	$0.714964\pi$
$888$	−63.0760	−	79.0948i	−2.11669	−	2.65425i
$889$	31.0512	−	20.5214i	1.04142	−	0.688266i
$890$	0.0605692	−	0.0759513i	0.00203028	−	0.00254589i
$891$	−0.239178	−	0.0737768i	−0.00801278	−	0.00247162i
$892$	2.98868	−	7.61503i	0.100068	−	0.254970i
$893$	11.2893	−	3.48228i	0.377781	−	0.116530i
$894$	−1.34897	+	18.0007i	−0.0451162	+	0.602034i
$895$	4.40838	−	19.3144i	0.147356	−	0.645608i
$896$	−20.5832	+	50.3020i	−0.687636	+	1.68047i
$897$	−14.3018	−	62.6605i	−0.477525	−	2.09217i
$898$	−15.7699	+	2.37692i	−0.526247	+	0.0793190i
$899$	0.0798611	+	0.0544484i	0.00266352	+	0.00181595i
$900$	22.6966	+	39.3117i	0.756554	+	1.31039i
$901$	−3.66312	+	6.34471i	−0.122036	+	0.211373i
$902$	7.05149	−	3.39582i	0.234789	−	0.113068i
$903$	29.5565	+	38.1782i	0.983578	+	1.27049i
$904$	36.9038	+	17.7720i	1.22740	+	0.591086i
$905$	23.5731	−	16.0718i	0.783595	−	0.534246i
$906$	5.70243	−	5.29108i	0.189450	−	0.175784i
$907$	−32.6538	+	30.2983i	−1.08425	+	1.00604i	−0.0842981	+	0.996441i	$0.526865\pi$
$907$	−32.6538	+	30.2983i	−1.08425	+	1.00604i	−0.999954	+	0.00959830i	$0.996945\pi$
$908$	−76.4098	+	52.0954i	−2.53575	+	1.72884i
$909$	82.7177	+	39.8348i	2.74357	+	1.32124i
$910$	36.2532	+	18.1066i	1.20178	+	0.600227i
$911$	−9.62759	+	4.63640i	−0.318976	+	0.153611i	−0.586520	−	0.809935i	$-0.699502\pi$
$911$	−9.62759	+	4.63640i	−0.318976	+	0.153611i	0.267544	+	0.963546i	$0.413788\pi$
$912$	−4.91879	+	8.51960i	−0.162877	+	0.282112i
$913$	−3.21023	−	5.56028i	−0.106243	−	0.184018i
$914$	−9.68518	−	6.60325i	−0.320357	−	0.218416i
$915$	20.6132	−	3.10693i	0.681450	−	0.102712i
$916$	6.01803	+	26.3667i	0.198841	+	0.871181i
$917$	35.8945	−	10.5082i	1.18534	−	0.347010i
$918$	−2.24999	+	9.85786i	−0.0742608	+	0.325358i
$919$	−2.39913	+	32.0142i	−0.0791400	+	1.05605i	0.806364	+	0.591419i	$0.201432\pi$
$919$	−2.39913	+	32.0142i	−0.0791400	+	1.05605i	−0.885504	+	0.464631i	$0.846187\pi$
$920$	30.3937	−	9.37520i	1.00205	−	0.309091i
$921$	5.13945	−	13.0951i	0.169351	−	0.431498i
$922$	−88.9440	−	27.4356i	−2.92922	−	0.903543i
$923$	8.95227	−	11.2258i	0.294668	−	0.369501i
$924$	6.50722	+	17.3093i	0.214072	+	0.569433i
$925$	−15.5205	−	19.4622i	−0.510312	−	0.639912i
$926$	−6.13595	−	15.6341i	−0.201640	−	0.513770i
$927$	2.75907	+	36.8172i	0.0906198	+	1.20924i
$928$	−0.139425	−	0.0210150i	−0.00457686	−	0.000689850i
$929$	−3.80040	−	3.52626i	−0.124687	−	0.115693i	0.615365	−	0.788242i	$-0.289009\pi$
$929$	−3.80040	−	3.52626i	−0.124687	−	0.115693i	−0.740052	+	0.672550i	$0.765199\pi$
$930$	−25.1174			−0.823631
$931$	3.69789	−	14.2905i	0.121194	−	0.468352i
$932$	−21.2096			−0.694744
$933$	−61.8390	−	57.3782i	−2.02452	−	1.87848i
$934$	26.2343	+	3.95419i	0.858414	+	0.129385i
$935$	−0.0643544	−	0.858750i	−0.00210461	−	0.0280841i
$936$	27.9192	+	71.1370i	0.912569	+	2.32519i
$937$	−21.3291	−	26.7458i	−0.696791	−	0.873748i	0.299988	−	0.953943i	$-0.403017\pi$
$937$	−21.3291	−	26.7458i	−0.696791	−	0.873748i	−0.996779	+	0.0801945i	$0.974446\pi$
$938$	−4.40612	+	49.2615i	−0.143865	+	1.60844i
$939$	1.79703	−	2.25341i	0.0586440	−	0.0735373i
$940$	29.7981	+	9.19149i	0.971906	+	0.299793i
$941$	−8.82717	+	22.4913i	−0.287758	+	0.733194i	0.711769	+	0.702414i	$0.247894\pi$
$941$	−8.82717	+	22.4913i	−0.287758	+	0.733194i	−0.999526	+	0.0307802i	$0.990201\pi$
$942$	−64.8949	+	20.0174i	−2.11439	+	0.652203i
$943$	−1.95453	+	26.0813i	−0.0636481	+	0.849326i
$944$	3.96958	−	17.3919i	0.129199	−	0.566057i
$945$	1.33151	+	22.0203i	0.0433139	+	0.716321i
$946$	−2.36810	−	10.3753i	−0.0769937	−	0.337331i
$947$	17.6545	−	2.66099i	0.573694	−	0.0864705i	0.144214	−	0.989547i	$-0.453935\pi$
$947$	17.6545	−	2.66099i	0.573694	−	0.0864705i	0.429481	+	0.903076i	$0.358697\pi$
$948$	88.4332	+	60.2927i	2.87218	+	1.95822i
$949$	−5.25402	−	9.10023i	−0.170553	−	0.295406i
$950$	−6.43462	+	11.1451i	−0.208767	+	0.361595i
$951$	−1.18504	+	0.570685i	−0.0384275	+	0.0185057i
$952$	7.15083	−	3.31762i	0.231760	−	0.107525i
$953$	17.5916	+	8.47169i	0.569849	+	0.274425i	0.696541	−	0.717517i	$-0.254722\pi$
$953$	17.5916	+	8.47169i	0.569849	+	0.274425i	−0.126692	+	0.991942i	$0.540436\pi$
$954$	−87.9367	+	59.9542i	−2.84706	+	1.94109i
$955$	−22.4312	+	20.8131i	−0.725855	+	0.673495i
$956$	−15.8197	+	14.6785i	−0.511645	+	0.474737i
$957$	−0.0640926	+	0.0436976i	−0.00207182	+	0.00141254i
$958$	53.3655	+	25.6995i	1.72416	+	0.830313i
$959$	−1.54752	+	6.35659i	−0.0499720	+	0.205265i
$960$	46.0801	−	22.1910i	1.48723	−	0.716211i
$961$	12.5419	−	21.7233i	0.404579	−	0.700751i
$962$	−47.4690	−	82.2186i	−1.53046	−	2.65084i
$963$	19.5241	+	13.3113i	0.629154	+	0.428950i
$964$	25.8509	−	3.89640i	0.832602	−	0.125495i
$965$	5.38981	+	23.6143i	0.173504	+	0.760171i
$966$	−95.0214	−	15.7253i	−3.05726	−	0.505954i
$967$	−1.14669	+	5.02398i	−0.0368751	+	0.161560i	−0.990013	−	0.140976i	$-0.954976\pi$
$967$	−1.14669	+	5.02398i	−0.0368751	+	0.161560i	0.953138	+	0.302536i	$0.0978332\pi$
$968$	−2.93471	+	39.1610i	−0.0943253	+	1.25868i
$969$	−4.52181	+	1.39479i	−0.145261	+	0.0448072i
$970$	15.7361	−	40.0948i	0.505254	−	1.28737i
$971$	54.6110	+	16.8453i	1.75255	+	0.540591i	0.993839	−	0.110834i	$-0.0353523\pi$
$971$	54.6110	+	16.8453i	1.75255	+	0.540591i	0.758713	+	0.651425i	$0.225829\pi$
$972$	33.6585	−	42.2065i	1.07960	−	1.35377i
$973$	3.63615	−	6.09355i	0.116570	−	0.195350i
$974$	−15.1870	−	19.0439i	−0.486623	−	0.610206i
$975$	11.0695	+	28.2046i	0.354508	+	0.903271i
$976$	−0.591217	−	7.88924i	−0.0189244	−	0.252528i
$977$	−55.8267	−	8.41452i	−1.78605	−	0.269204i	−0.829029	−	0.559206i	$-0.811106\pi$
$977$	−55.8267	−	8.41452i	−1.78605	−	0.269204i	−0.957026	+	0.290002i	$0.906344\pi$
$978$	25.9497	+	24.0778i	0.829781	+	0.769924i
$979$	0.0183636			0.000586903
$980$	29.3129	−	25.6672i	0.936368	−	0.819910i
$981$	57.8616			1.84738
$982$	17.7270	+	16.4482i	0.565690	+	0.524883i
$983$	3.31541	+	0.499718i	0.105745	+	0.0159385i	0.201702	−	0.979447i	$-0.435353\pi$
$983$	3.31541	+	0.499718i	0.105745	+	0.0159385i	−0.0959565	+	0.995386i	$0.530591\pi$
$984$	−3.74461	−	49.9684i	−0.119374	−	1.59293i
$985$	−9.21149	−	23.4705i	−0.293503	−	0.747832i
$986$	0.0467073	+	0.0585691i	0.00148746	+	0.00186522i
$987$	−30.1433	−	28.7880i	−0.959470	−	0.916331i
$988$	−19.6343	+	24.6206i	−0.624650	+	0.783286i
$989$	33.9835	+	10.4825i	1.08061	+	0.333325i
$990$	4.57051	−	11.6455i	0.145260	−	0.370117i
$991$	−31.8228	+	9.81604i	−1.01089	+	0.311817i	−0.755589	−	0.655046i	$-0.772649\pi$
$991$	−31.8228	+	9.81604i	−1.01089	+	0.311817i	−0.255296	+	0.966863i	$0.582173\pi$
$992$	0.644944	−	8.60618i	0.0204770	−	0.273246i
$993$	−8.02064	+	35.1407i	−0.254527	+	1.11516i
$994$	−10.4887	−	18.7869i	−0.332681	−	0.595883i
$995$	7.59844	+	33.2909i	0.240887	+	1.05539i
$996$	−92.0824	+	13.8792i	−2.91774	+	0.439779i
$997$	32.4613	+	22.1317i	1.02806	+	0.700919i	0.955060	−	0.296413i	$-0.0957905\pi$
$997$	32.4613	+	22.1317i	1.02806	+	0.700919i	0.0729996	+	0.997332i	$0.476743\pi$
$998$	−28.7447	−	49.7872i	−0.909896	−	1.57599i
$999$	25.8416	−	44.7591i	0.817594	−	1.41611i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	49.2.g.a.9.1	✓	48
3.2	odd	2		441.2.bb.d.352.4		48
4.3	odd	2		784.2.bg.c.401.1		48
7.2	even	3		343.2.e.d.99.1		48
7.3	odd	6		343.2.g.h.67.4		48
7.4	even	3		343.2.g.i.67.4		48
7.5	odd	6		343.2.e.c.99.1		48
7.6	odd	2		343.2.g.g.177.1		48
49.2	even	21		343.2.e.d.246.1		48
49.11	even	21	inner	49.2.g.a.11.1	yes	48
49.13	odd	14		343.2.g.h.128.4		48
49.16	even	21		2401.2.a.h.1.22		24
49.33	odd	42		2401.2.a.i.1.22		24
49.36	even	7		343.2.g.i.128.4		48
49.38	odd	42		343.2.g.g.312.1		48
49.47	odd	42		343.2.e.c.246.1		48
147.11	odd	42		441.2.bb.d.109.4		48
196.11	odd	42		784.2.bg.c.305.1		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
49.2.g.a.9.1	✓	48	1.1	even	1	trivial
49.2.g.a.11.1	yes	48	49.11	even	21	inner
343.2.e.c.99.1		48	7.5	odd	6
343.2.e.c.246.1		48	49.47	odd	42
343.2.e.d.99.1		48	7.2	even	3
343.2.e.d.246.1		48	49.2	even	21
343.2.g.g.177.1		48	7.6	odd	2
343.2.g.g.312.1		48	49.38	odd	42
343.2.g.h.67.4		48	7.3	odd	6
343.2.g.h.128.4		48	49.13	odd	14
343.2.g.i.67.4		48	7.4	even	3
343.2.g.i.128.4		48	49.36	even	7
441.2.bb.d.109.4		48	147.11	odd	42
441.2.bb.d.352.4		48	3.2	odd	2
784.2.bg.c.305.1		48	196.11	odd	42
784.2.bg.c.401.1		48	4.3	odd	2
2401.2.a.h.1.22		24	49.16	even	21
2401.2.a.i.1.22		24	49.33	odd	42

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 49 = 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	49.g (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.73170 - 1.60678i) q^{2} +(2.78061 + 0.419109i) q^{3} +(0.267571 + 3.57049i) q^{4} +(-0.567937 - 1.44708i) q^{5} +(-4.14175 - 5.19359i) q^{6} +(-2.62161 + 0.356599i) q^{7} +(2.32789 - 2.91908i) q^{8} +(4.68940 + 1.44649i) q^{9} +(-1.34164 + 3.41845i) q^{10} +(-0.663342 + 0.204614i) q^{11} +(-0.752415 + 10.0403i) q^{12} +(-0.928088 + 4.06622i) q^{13} +(5.11281 + 3.59482i) q^{14} +(-0.972725 - 4.26179i) q^{15} +(-1.64048 + 0.247262i) q^{16} +(-0.659346 - 0.449534i) q^{17} +(-5.79643 - 10.0397i) q^{18} +(1.05437 - 1.82622i) q^{19} +(5.01482 - 2.41501i) q^{20} +(-7.43912 - 0.107177i) q^{21} +(1.47747 + 0.711514i) q^{22} +(-4.52784 + 3.08703i) q^{23} +(7.69635 - 7.14117i) q^{24} +(1.89377 - 1.75716i) q^{25} +(8.14068 - 5.55022i) q^{26} +(4.83254 + 2.32723i) q^{27} +(-1.97470 - 9.26502i) q^{28} +(0.0358031 - 0.0172419i) q^{29} +(-5.16328 + 8.94307i) q^{30} +(1.21615 + 2.10644i) q^{31} +(-2.93166 - 1.99877i) q^{32} +(-1.93025 + 0.290938i) q^{33} +(0.419484 + 1.83788i) q^{34} +(2.00494 + 3.59115i) q^{35} +(-3.90993 + 17.1305i) q^{36} +(0.720079 - 9.60878i) q^{37} +(-4.76018 + 1.46832i) q^{38} +(-4.28484 + 10.9176i) q^{39} +(-5.54623 - 1.71079i) q^{40} +(2.97571 - 3.73142i) q^{41} +(12.7101 + 12.1386i) q^{42} +(-4.04621 - 5.07379i) q^{43} +(-0.908064 - 2.31371i) q^{44} +(-0.570100 - 7.60746i) q^{45} +(12.8010 + 1.92944i) q^{46} +(4.10689 + 3.81064i) q^{47} -4.66515 q^{48} +(6.74567 - 1.86973i) q^{49} -6.10281 q^{50} +(-1.64498 - 1.52632i) q^{51} +(-14.7667 - 2.22573i) q^{52} +(-0.686072 - 9.15499i) q^{53} +(-4.62915 - 11.7949i) q^{54} +(0.672829 + 0.843700i) q^{55} +(-5.06187 + 8.48281i) q^{56} +(3.69718 - 4.63611i) q^{57} +(-0.0897040 - 0.0276700i) q^{58} +(-3.92848 + 10.0096i) q^{59} +(14.9564 - 4.61344i) q^{60} +(-0.356368 + 4.75540i) q^{61} +(1.27857 - 5.60180i) q^{62} +(-12.8096 - 2.11989i) q^{63} +(2.60348 + 11.4066i) q^{64} +(6.41124 - 0.966339i) q^{65} +(3.81007 + 2.59767i) q^{66} +(3.95660 + 6.85303i) q^{67} +(1.42864 - 2.47447i) q^{68} +(-13.8839 + 6.68615i) q^{69} +(2.29825 - 9.44027i) q^{70} +(-3.10167 - 1.49368i) q^{71} +(15.1388 - 10.3215i) q^{72} +(-1.84688 + 1.71365i) q^{73} +(-16.6861 + 15.4825i) q^{74} +(6.00228 - 4.09229i) q^{75} +(6.80263 + 3.27598i) q^{76} +(1.66606 - 0.772965i) q^{77} +(24.9622 - 12.0212i) q^{78} +(5.31518 - 9.20616i) q^{79} +(1.28949 + 2.23347i) q^{80} +(0.297914 + 0.203114i) q^{81} +(-11.1486 + 1.68038i) q^{82} +(2.05809 + 9.01706i) q^{83} +(-1.60782 - 26.5900i) q^{84} +(-0.276045 + 1.20943i) q^{85} +(-1.14565 + 15.2876i) q^{86} +(0.106781 - 0.0329375i) q^{87} +(-0.946901 + 2.41266i) q^{88} +(-0.0252783 - 0.00779732i) q^{89} +(-11.2363 + 14.0898i) q^{90} +(0.983073 - 10.9910i) q^{91} +(-12.2337 - 15.3406i) q^{92} +(2.49882 + 6.36688i) q^{93} +(-0.989033 - 13.1977i) q^{94} +(-3.24150 - 0.488578i) q^{95} +(-7.31409 - 6.78648i) q^{96} -11.7290 q^{97} +(-14.6857 - 7.60100i) q^{98} -3.40665 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 13 q^{2} - 14 q^{3} - 9 q^{4} - 14 q^{5} - 14 q^{7} - 20 q^{8} + 6 q^{9} - 14 q^{10} - 3 q^{11} + 21 q^{12} - 14 q^{13} + 21 q^{14} - 12 q^{15} - 3 q^{16} - 7 q^{17} + 2 q^{18} + 21 q^{19} + 14 q^{20}+ \cdots - 16 q^{99}+O(q^{100}) \) 48 * q - 13 * q^2 - 14 * q^3 - 9 * q^4 - 14 * q^5 - 14 * q^7 - 20 * q^8 + 6 * q^9 - 14 * q^10 - 3 * q^11 + 21 * q^12 - 14 * q^13 + 21 * q^14 - 12 * q^15 - 3 * q^16 - 7 * q^17 + 2 * q^18 + 21 * q^19 + 14 * q^20 - 14 * q^21 - 20 * q^22 + 15 * q^23 + 28 * q^24 - 4 * q^25 + 7 * q^27 + 28 * q^28 + 12 * q^29 + 11 * q^30 + 35 * q^31 + 45 * q^32 - 14 * q^33 + 70 * q^34 - 12 * q^36 + 15 * q^37 - 28 * q^38 - 7 * q^39 - 42 * q^40 - 42 * q^41 + 28 * q^42 - 30 * q^43 - 50 * q^44 + 7 * q^45 - 78 * q^46 + 21 * q^47 - 84 * q^48 - 70 * q^49 + 40 * q^50 - 52 * q^51 - 70 * q^52 + 11 * q^53 - 77 * q^54 - 7 * q^55 - 28 * q^56 - 12 * q^57 + 16 * q^58 - 28 * q^59 + 56 * q^60 + 7 * q^61 - 28 * q^62 + 35 * q^63 - 32 * q^64 + 14 * q^65 + 154 * q^66 + 11 * q^67 + 77 * q^68 + 70 * q^69 + 70 * q^70 + 19 * q^71 + 170 * q^72 + 7 * q^73 + 34 * q^74 + 112 * q^75 + 119 * q^76 + 7 * q^77 + 28 * q^78 + 15 * q^79 + 70 * q^80 + 64 * q^81 - 14 * q^82 - 84 * q^84 - 26 * q^85 - 33 * q^86 - 112 * q^87 - 77 * q^88 - 14 * q^89 - 182 * q^90 + 84 * q^91 - 38 * q^92 - 80 * q^93 + 14 * q^94 - 61 * q^95 - 70 * q^96 - 161 * q^98 - 16 * q^99

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