LMFDB - Embedded newform 588.2.x.a.139.18

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			139.18
Character	$\chi$	$=$	588.139
Dual form			588.2.x.a.55.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.505797 + 1.32067i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.48834 + 1.33598i) q^{4} +(1.55098 + 3.22064i) q^{5} +(-1.02872 - 0.970425i) q^{6} +(1.05984 + 2.42420i) q^{7} +(-2.51719 - 1.28987i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})$	\(q+(0.505797 + 1.32067i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.48834 + 1.33598i) q^{4} +(1.55098 + 3.22064i) q^{5} +(-1.02872 - 0.970425i) q^{6} +(1.05984 + 2.42420i) q^{7} +(-2.51719 - 1.28987i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-3.46892 + 3.67732i) q^{10} +(-0.548676 + 0.437555i) q^{11} +(0.761286 - 1.84944i) q^{12} +(-1.23392 + 0.984018i) q^{13} +(-2.66550 + 2.62585i) q^{14} +(-2.79477 - 2.22875i) q^{15} +(0.430304 - 3.97679i) q^{16} +(4.49769 - 1.02657i) q^{17} +(1.34790 + 0.427976i) q^{18} +1.98961 q^{19} +(-6.61110 - 2.72132i) q^{20} +(-2.00670 - 1.72428i) q^{21} +(-0.855384 - 0.503306i) q^{22} +(-0.491856 - 0.112263i) q^{23} +(2.82756 + 0.0699641i) q^{24} +(-4.84953 + 6.08112i) q^{25} +(-1.92368 - 1.13189i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(-4.81609 - 2.19210i) q^{28} +(-1.10738 - 4.85176i) q^{29} +(1.52986 - 4.81826i) q^{30} +2.00363 q^{31} +(5.46967 - 1.44316i) q^{32} +(0.304492 - 0.632285i) q^{33} +(3.63068 + 5.42073i) q^{34} +(-6.16368 + 7.17324i) q^{35} +(0.116549 + 1.99660i) q^{36} +(-0.243040 - 1.06483i) q^{37} +(1.00634 + 2.62761i) q^{38} +(0.684774 - 1.42195i) q^{39} +(0.250097 - 10.1075i) q^{40} +(-4.53101 - 9.40873i) q^{41} +(1.26222 - 3.52233i) q^{42} +(-2.83871 + 5.89463i) q^{43} +(0.232051 - 1.38425i) q^{44} +(3.48502 + 0.795432i) q^{45} +(-0.100517 - 0.706362i) q^{46} +(-5.11970 - 6.41990i) q^{47} +(1.33777 + 3.76966i) q^{48} +(-4.75348 + 5.13853i) q^{49} +(-10.4840 - 3.32882i) q^{50} +(-3.60687 + 2.87638i) q^{51} +(0.521860 - 3.11305i) q^{52} +(-1.46774 + 6.43060i) q^{53} +(-1.40011 + 0.199239i) q^{54} +(-2.26019 - 1.08845i) q^{55} +(0.459080 - 7.46922i) q^{56} +(-1.79257 + 0.863258i) q^{57} +(5.84747 - 3.91650i) q^{58} +(-2.79374 - 1.34539i) q^{59} +(7.13713 - 0.416620i) q^{60} +(12.1442 - 2.77184i) q^{61} +(1.01343 + 2.64613i) q^{62} +(2.55611 + 0.682847i) q^{63} +(4.67248 + 6.49369i) q^{64} +(-5.08295 - 2.44782i) q^{65} +(0.989051 + 0.0823261i) q^{66} +2.78869i q^{67} +(-5.32261 + 7.53671i) q^{68} +(0.491856 - 0.112263i) q^{69} +(-12.5911 - 4.51198i) q^{70} +(14.0210 + 3.20021i) q^{71} +(-2.57790 + 1.16380i) q^{72} +(8.77011 + 6.99393i) q^{73} +(1.28336 - 0.859563i) q^{74} +(1.73078 - 7.58304i) q^{75} +(-2.96121 + 2.65808i) q^{76} +(-1.64223 - 0.866362i) q^{77} +(2.22428 + 0.185143i) q^{78} +5.84545i q^{79} +(13.4752 - 4.78206i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(10.1341 - 10.7429i) q^{82} +(-9.61807 + 12.0607i) q^{83} +(5.29026 - 0.114607i) q^{84} +(10.2820 + 12.8932i) q^{85} +(-9.22067 - 0.767505i) q^{86} +(3.10282 + 3.89081i) q^{87} +(1.94551 - 0.393688i) q^{88} +(7.71020 + 6.14868i) q^{89} +(0.712207 + 5.00488i) q^{90} +(-3.69321 - 1.94837i) q^{91} +(0.882030 - 0.490026i) q^{92} +(-1.80521 + 0.869341i) q^{93} +(5.88904 - 10.0086i) q^{94} +(3.08584 + 6.40781i) q^{95} +(-4.30184 + 3.67344i) q^{96} -15.5344i q^{97} +(-9.19059 - 3.67872i) q^{98} +0.701783i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{14}\right)$

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 $

$2$	0.505797	+	1.32067i	0.357653	+	0.933855i
$2$	0.505797	+	1.32067i	0.357653	+	0.933855i
$3$	−0.900969	+	0.433884i	−0.520175	+	0.250503i
$3$	−0.900969	+	0.433884i	−0.520175	+	0.250503i
$4$	−1.48834	+	1.33598i	−0.744169	+	0.667991i
$5$	1.55098	+	3.22064i	0.693618	+	1.44031i	0.888214	+	0.459430i	$0.151946\pi$
$5$	1.55098	+	3.22064i	0.693618	+	1.44031i	−0.194596	+	0.980884i	$0.562339\pi$
$6$	−1.02872	−	0.970425i	−0.419975	−	0.396175i
$7$	1.05984	+	2.42420i	0.400582	+	0.916261i
$7$	1.05984	+	2.42420i	0.400582	+	0.916261i
$8$	−2.51719	−	1.28987i	−0.889961	−	0.456037i
$9$	0.623490	−	0.781831i	0.207830	−	0.260610i
$10$	−3.46892	+	3.67732i	−1.09697	+	1.16287i
$11$	−0.548676	+	0.437555i	−0.165432	+	0.131928i	−0.702707	−	0.711480i	$-0.748025\pi$
$11$	−0.548676	+	0.437555i	−0.165432	+	0.131928i	0.537274	+	0.843407i	$0.319454\pi$
$12$	0.761286	−	1.84944i	0.219764	−	0.533889i
$13$	−1.23392	+	0.984018i	−0.342228	+	0.272918i	−0.779488	−	0.626418i	$-0.784520\pi$
$13$	−1.23392	+	0.984018i	−0.342228	+	0.272918i	0.437260	+	0.899335i	$0.355949\pi$
$14$	−2.66550	+	2.62585i	−0.712386	+	0.701788i
$15$	−2.79477	−	2.22875i	−0.721605	−	0.575461i
$16$	0.430304	−	3.97679i	0.107576	−	0.994197i
$17$	4.49769	−	1.02657i	1.09085	−	0.248979i	0.360986	−	0.932571i	$-0.382440\pi$
$17$	4.49769	−	1.02657i	1.09085	−	0.248979i	0.729864	+	0.683592i	$0.239583\pi$
$18$	1.34790	+	0.427976i	0.317703	+	0.100875i
$19$	1.98961			0.456447			0.228224	−	0.973609i	$-0.426708\pi$
$19$	1.98961			0.456447			0.228224	+	0.973609i	$0.426708\pi$
$20$	−6.61110	−	2.72132i	−1.47829	−	0.608506i
$21$	−2.00670	−	1.72428i	−0.437899	−	0.376269i
$22$	−0.855384	−	0.503306i	−0.182369	−	0.107305i
$23$	−0.491856	−	0.112263i	−0.102559	−	0.0234084i	0.170933	−	0.985283i	$-0.445322\pi$
$23$	−0.491856	−	0.112263i	−0.102559	−	0.0234084i	−0.273492	+	0.961874i	$0.588179\pi$
$24$	2.82756	+	0.0699641i	0.577174	+	0.0142814i
$25$	−4.84953	+	6.08112i	−0.969907	+	1.21622i
$26$	−1.92368	−	1.13189i	−0.377264	−	0.221981i
$27$	−0.222521	+	0.974928i	−0.0428242	+	0.187625i
$28$	−4.81609	−	2.19210i	−0.910155	−	0.414268i
$29$	−1.10738	−	4.85176i	−0.205636	−	0.900950i	−0.967432	−	0.253133i	$-0.918539\pi$
$29$	−1.10738	−	4.85176i	−0.205636	−	0.900950i	0.761796	−	0.647817i	$-0.224318\pi$
$30$	1.52986	−	4.81826i	0.279313	−	0.879690i
$31$	2.00363			0.359862			0.179931	−	0.983679i	$-0.442413\pi$
$31$	2.00363			0.359862			0.179931	+	0.983679i	$0.442413\pi$
$32$	5.46967	−	1.44316i	0.966910	−	0.255117i
$33$	0.304492	−	0.632285i	0.0530053	−	0.110067i
$34$	3.63068	+	5.42073i	0.622656	+	0.929647i
$35$	−6.16368	+	7.17324i	−1.04185	+	1.21250i
$36$	0.116549	+	1.99660i	0.0194248	+	0.332767i
$37$	−0.243040	−	1.06483i	−0.0399555	−	0.175057i	0.951013	−	0.309151i	$-0.100045\pi$
$37$	−0.243040	−	1.06483i	−0.0399555	−	0.175057i	−0.990969	+	0.134094i	$0.957188\pi$
$38$	1.00634	+	2.62761i	0.163250	+	0.426255i
$39$	0.684774	−	1.42195i	0.109652	−	0.227694i
$40$	0.250097	−	10.1075i	0.0395437	−	1.59814i
$41$	−4.53101	−	9.40873i	−0.707625	−	1.46940i	−0.875313	−	0.483557i	$-0.839344\pi$
$41$	−4.53101	−	9.40873i	−0.707625	−	1.46940i	0.167688	−	0.985840i	$-0.446370\pi$
$42$	1.26222	−	3.52233i	0.194765	−	0.543507i
$43$	−2.83871	+	5.89463i	−0.432898	+	0.898923i	0.564402	+	0.825500i	$0.309107\pi$
$43$	−2.83871	+	5.89463i	−0.432898	+	0.898923i	−0.997301	+	0.0734232i	$0.976608\pi$
$44$	0.232051	−	1.38425i	0.0349830	−	0.208684i
$45$	3.48502	+	0.795432i	0.519515	+	0.118576i
$46$	−0.100517	−	0.706362i	−0.0148204	−	0.104147i
$47$	−5.11970	−	6.41990i	−0.746785	−	0.936439i	0.252731	−	0.967537i	$-0.418671\pi$
$47$	−5.11970	−	6.41990i	−0.746785	−	0.936439i	−0.999516	+	0.0310976i	$0.990100\pi$
$48$	1.33777	+	3.76966i	0.193091	+	0.544104i
$49$	−4.75348	+	5.13853i	−0.679068	+	0.734075i
$50$	−10.4840	−	3.32882i	−1.48267	−	0.470766i
$51$	−3.60687	+	2.87638i	−0.505062	+	0.402774i
$52$	0.521860	−	3.11305i	0.0723690	−	0.431702i
$53$	−1.46774	+	6.43060i	−0.201610	+	0.883311i	0.768347	+	0.640034i	$0.221080\pi$
$53$	−1.46774	+	6.43060i	−0.201610	+	0.883311i	−0.969957	+	0.243277i	$0.921777\pi$
$54$	−1.40011	+	0.199239i	−0.190531	+	0.0271130i
$55$	−2.26019	−	1.08845i	−0.304764	−	0.146767i
$56$	0.459080	−	7.46922i	0.0613472	−	0.998116i
$57$	−1.79257	+	0.863258i	−0.237432	+	0.114341i
$58$	5.84747	−	3.91650i	0.767810	−	0.514261i
$59$	−2.79374	−	1.34539i	−0.363714	−	0.175155i	0.243096	−	0.970002i	$-0.421837\pi$
$59$	−2.79374	−	1.34539i	−0.363714	−	0.175155i	−0.606810	+	0.794847i	$0.707551\pi$
$60$	7.13713	−	0.416620i	0.921399	−	0.0537854i
$61$	12.1442	−	2.77184i	1.55491	−	0.354898i	0.643188	−	0.765708i	$-0.277611\pi$
$61$	12.1442	−	2.77184i	1.55491	−	0.354898i	0.911721	+	0.410811i	$0.134754\pi$
$62$	1.01343	+	2.64613i	0.128706	+	0.336059i
$63$	2.55611	+	0.682847i	0.322040	+	0.0860306i
$64$	4.67248	+	6.49369i	0.584060	+	0.811711i
$65$	−5.08295	−	2.44782i	−0.630462	−	0.303615i
$66$	0.989051	+	0.0823261i	0.121744	+	0.0101336i
$67$			2.78869i			0.340693i	0.985384	+	0.170347i	$0.0544887\pi$
$67$			2.78869i			0.340693i	−0.985384	+	0.170347i	$0.945511\pi$
$68$	−5.32261	+	7.53671i	−0.645461	+	0.913961i
$69$	0.491856	−	0.112263i	0.0592125	−	0.0135149i
$70$	−12.5911	−	4.51198i	−1.50492	−	0.539285i
$71$	14.0210	+	3.20021i	1.66399	+	0.379795i	0.947988	−	0.318305i	$-0.103114\pi$
$71$	14.0210	+	3.20021i	1.66399	+	0.379795i	0.716001	+	0.698100i	$0.245971\pi$
$72$	−2.57790	+	1.16380i	−0.303809	+	0.137155i
$73$	8.77011	+	6.99393i	1.02646	+	0.818577i	0.983574	−	0.180503i	$-0.0577725\pi$
$73$	8.77011	+	6.99393i	1.02646	+	0.818577i	0.0428888	+	0.999080i	$0.486344\pi$
$74$	1.28336	−	0.859563i	0.149187	−	0.0999221i
$75$	1.73078	−	7.58304i	0.199853	−	0.875614i
$76$	−2.96121	+	2.65808i	−0.339674	+	0.304903i
$77$	−1.64223	−	0.866362i	−0.187149	−	0.0987312i
$78$	2.22428	+	0.185143i	0.251850	+	0.0209634i
$79$			5.84545i			0.657664i	0.944388	+	0.328832i	$0.106655\pi$
$79$			5.84545i			0.657664i	−0.944388	+	0.328832i	$0.893345\pi$
$80$	13.4752	−	4.78206i	1.50657	−	0.534650i
$81$	−0.222521	−	0.974928i	−0.0247245	−	0.108325i
$82$	10.1341	−	10.7429i	1.11912	−	1.18635i
$83$	−9.61807	+	12.0607i	−1.05572	+	1.32383i	−0.111773	+	0.993734i	$0.535653\pi$
$83$	−9.61807	+	12.0607i	−1.05572	+	1.32383i	−0.943947	+	0.330097i	$0.892919\pi$
$84$	5.29026	−	0.114607i	0.577215	−	0.0125046i
$85$	10.2820	+	12.8932i	1.11524	+	1.39847i
$86$	−9.22067	−	0.767505i	−0.994291	−	0.0827622i
$87$	3.10282	+	3.89081i	0.332657	+	0.417139i
$88$	1.94551	−	0.393688i	0.207392	−	0.0419672i
$89$	7.71020	+	6.14868i	0.817279	+	0.651758i	0.940187	−	0.340660i	$-0.110650\pi$
$89$	7.71020	+	6.14868i	0.817279	+	0.651758i	−0.122907	+	0.992418i	$0.539222\pi$
$90$	0.712207	+	5.00488i	0.0750732	+	0.527561i
$91$	−3.69321	−	1.94837i	−0.387154	−	0.204244i
$92$	0.882030	−	0.490026i	0.0919580	−	0.0510887i
$93$	−1.80521	+	0.869341i	−0.187191	+	0.0901465i
$94$	5.88904	−	10.0086i	0.607408	−	1.03231i
$95$	3.08584	+	6.40781i	0.316600	+	0.657427i
$96$	−4.30184	+	3.67344i	−0.439055	+	0.374919i
$97$		−	15.5344i		−	1.57728i	−0.614857	−	0.788639i	$-0.710786\pi$
$97$		−	15.5344i		−	1.57728i	0.614857	−	0.788639i	$-0.289214\pi$
$98$	−9.19059	−	3.67872i	−0.928390	−	0.371607i
$99$			0.701783i			0.0705319i
$100$	−0.906522	−	15.5297i	−0.0906522	−	1.55297i
$101$	−2.15686	−	4.47877i	−0.214616	−	0.445655i	0.765671	−	0.643232i	$-0.222407\pi$
$101$	−2.15686	−	4.47877i	−0.214616	−	0.445655i	−0.980287	+	0.197577i	$0.936693\pi$
$102$	−5.62309	−	3.30862i	−0.556769	−	0.327602i
$103$	15.2981	−	7.36718i	1.50737	−	0.725910i	0.515946	−	0.856621i	$-0.327440\pi$
$103$	15.2981	−	7.36718i	1.50737	−	0.725910i	0.991420	+	0.130711i	$0.0417261\pi$
$104$	4.37526	−	0.885365i	0.429030	−	0.0868172i
$105$	2.44093	−	9.13719i	0.238210	−	0.891698i
$106$	−9.23508	+	1.31418i	−0.896991	+	0.127644i
$107$	12.1496	+	9.68897i	1.17454	+	0.936668i	0.998858	−	0.0477781i	$-0.0152140\pi$
$107$	12.1496	+	9.68897i	1.17454	+	0.936668i	0.175687	+	0.984446i	$0.443785\pi$
$108$	−0.971300	−	1.74831i	−0.0934634	−	0.168231i
$109$	0.397900	+	0.498951i	0.0381119	+	0.0477909i	0.800522	−	0.599303i	$-0.204556\pi$
$109$	0.397900	+	0.498951i	0.0381119	+	0.0477909i	−0.762410	+	0.647094i	$0.775984\pi$
$110$	0.294286	−	3.53550i	0.0280591	−	0.337097i
$111$	0.680983	+	0.853926i	0.0646361	+	0.0810510i
$112$	10.0966	−	3.17162i	0.954037	−	0.299690i
$113$	0.238370	−	0.298906i	0.0224239	−	0.0281187i	−0.770493	−	0.637448i	$-0.779990\pi$
$113$	0.238370	−	0.298906i	0.0224239	−	0.0281187i	0.792917	+	0.609330i	$0.208561\pi$
$114$	−2.04676	−	1.93077i	−0.191696	−	0.180833i
$115$	−0.401300	−	1.75821i	−0.0374214	−	0.163954i
$116$	8.13003	+	5.74162i	0.754854	+	0.533096i
$117$			1.57824i			0.145909i
$118$	0.363756	−	4.37010i	0.0334865	−	0.402300i
$119$	7.25544	+	9.81529i	0.665105	+	0.899767i
$120$	4.16016	+	9.21507i	0.379769	+	0.841217i
$121$	−2.33814	+	10.2441i	−0.212558	+	0.931278i
$122$	9.80320	+	14.6365i	0.887540	+	1.32513i
$123$	8.16459	+	6.51105i	0.736177	+	0.587081i
$124$	−2.98208	+	2.67681i	−0.267798	+	0.240385i
$125$	−9.68154	−	2.20975i	−0.865943	−	0.197646i
$126$	0.391060	+	3.72117i	0.0348384	+	0.331508i
$127$	13.4738	−	3.07532i	1.19561	−	0.272890i	0.422026	−	0.906584i	$-0.361319\pi$
$127$	13.4738	−	3.07532i	1.19561	−	0.272890i	0.773584	+	0.633693i	$0.218462\pi$
$128$	−6.21269	+	9.45529i	−0.549129	+	0.835737i
$129$		−	6.54255i		−	0.576039i
$130$	0.661821	−	7.95100i	0.0580456	−	0.697349i
$131$	−12.3467	−	5.94587i	−1.07874	−	0.519493i	−0.191825	−	0.981429i	$-0.561441\pi$
$131$	−12.3467	−	5.94587i	−1.07874	−	0.519493i	−0.886913	+	0.461936i	$0.847155\pi$
$132$	0.391534	+	1.34785i	0.0340786	+	0.117315i
$133$	2.10867	+	4.82320i	0.182845	+	0.418225i
$134$	−3.68294	+	1.41051i	−0.318158	+	0.121850i
$135$	−3.48502	+	0.795432i	−0.299942	+	0.0684599i
$136$	−12.6457	−	3.21736i	−1.08436	−	0.275887i
$137$	−19.7709	−	9.52117i	−1.68914	−	0.813448i	−0.995669	−	0.0929656i	$-0.970365\pi$
$137$	−19.7709	−	9.52117i	−1.68914	−	0.813448i	−0.693473	−	0.720483i	$-0.743920\pi$
$138$	0.397042	+	0.592797i	0.0337984	+	0.0504623i
$139$	13.3701	−	6.43868i	1.13403	−	0.546122i	0.229833	−	0.973230i	$-0.426182\pi$
$139$	13.3701	−	6.43868i	1.13403	−	0.546122i	0.904200	+	0.427108i	$0.140468\pi$
$140$	−0.409678	−	18.9108i	−0.0346241	−	1.59825i
$141$	7.39818	+	3.56278i	0.623039	+	0.300040i
$142$	2.86537	+	20.1358i	0.240457	+	1.68976i
$143$	0.246461	−	1.07982i	0.0206101	−	0.0902987i
$144$	−2.84089	−	2.81591i	−0.236741	−	0.234659i
$145$	13.9083	−	11.0915i	1.15502	−	0.921096i
$146$	−4.80077	+	15.1199i	−0.397315	+	1.25133i
$147$	2.05321	−	6.69211i	0.169346	−	0.551956i
$148$	1.78432	+	1.26013i	0.146670	+	0.103582i
$149$	−10.2375	−	12.8375i	−0.838691	−	1.05169i	−0.997921	−	0.0644436i	$-0.979473\pi$
$149$	−10.2375	−	12.8375i	−0.838691	−	1.05169i	0.159230	−	0.987241i	$-0.449099\pi$
$150$	10.8901	−	1.54969i	0.889174	−	0.126532i
$151$	−9.81701	−	2.24067i	−0.798897	−	0.182343i	−0.196463	−	0.980511i	$-0.562945\pi$
$151$	−9.81701	−	2.24067i	−0.798897	−	0.182343i	−0.602435	+	0.798168i	$0.705803\pi$
$152$	−5.00822	−	2.56633i	−0.406220	−	0.208157i
$153$	2.00166	−	4.15649i	0.161825	−	0.336032i
$154$	0.313544	−	2.60705i	0.0252661	−	0.210082i
$155$	3.10758	+	6.45296i	0.249607	+	0.518314i
$156$	0.880521	+	3.03119i	0.0704981	+	0.242689i
$157$	−8.07378	+	16.7654i	−0.644358	+	1.33802i	0.281285	+	0.959624i	$0.409239\pi$
$157$	−8.07378	+	16.7654i	−0.644358	+	1.33802i	−0.925643	+	0.378398i	$0.876475\pi$
$158$	−7.71990	+	2.95661i	−0.614163	+	0.235215i
$159$	−1.46774	−	6.43060i	−0.116400	−	0.509980i
$160$	13.1312	+	15.3775i	1.03811	+	1.21570i
$161$	−0.249141	−	1.31134i	−0.0196351	−	0.103348i
$162$	1.17501	−	0.786992i	0.0923173	−	0.0618320i
$163$	−3.29496	+	6.84206i	−0.258081	+	0.535912i	−0.989241	−	0.146295i	$-0.953265\pi$
$163$	−3.29496	+	6.84206i	−0.258081	+	0.535912i	0.731160	+	0.682206i	$0.238979\pi$
$164$	19.3136	+	7.95004i	1.50814	+	0.620794i
$165$	2.50862			0.195296
$166$	−20.7930	−	6.60204i	−1.61385	−	0.512418i
$167$	−1.52342	−	6.67455i	−0.117886	−	0.516492i	−0.999046	−	0.0436737i	$-0.986094\pi$
$167$	−1.52342	−	6.67455i	−0.117886	−	0.516492i	0.881160	−	0.472818i	$-0.156763\pi$
$168$	2.82716	+	6.92872i	0.218120	+	0.534563i
$169$	−2.33851	+	10.2457i	−0.179885	+	0.788128i
$170$	−11.8271	+	20.1005i	−0.907098	+	1.54164i
$171$	1.24050	−	1.55554i	0.0948634	−	0.118955i
$172$	−3.65017	−	12.5657i	−0.278323	−	0.958123i
$173$	5.10966	+	1.16625i	0.388480	+	0.0886680i	0.412300	−	0.911048i	$-0.364726\pi$
$173$	5.10966	+	1.16625i	0.388480	+	0.0886680i	−0.0238198	+	0.999716i	$0.507583\pi$
$174$	−3.56908	+	6.06576i	−0.270571	+	0.459844i
$175$	−19.8816	−	5.31121i	−1.50291	−	0.401490i
$176$	1.50396	+	2.37025i	0.113366	+	0.178664i
$177$	3.10081			0.233072
$178$	−4.22058	+	13.2926i	−0.316346	+	0.996323i
$179$	−17.4630	+	3.98582i	−1.30525	+	0.297914i	−0.817934	−	0.575312i	$-0.804881\pi$
$179$	−17.4630	+	3.98582i	−1.30525	+	0.297914i	−0.487314	+	0.873227i	$0.662023\pi$
$180$	−6.24957	+	3.47205i	−0.465815	+	0.258791i
$181$	15.3171	+	12.2150i	1.13851	+	0.907931i	0.996636	−	0.0819543i	$-0.0261162\pi$
$181$	15.3171	+	12.2150i	1.13851	+	0.907931i	0.141873	+	0.989885i	$0.454688\pi$
$182$	0.705131	−	5.86299i	0.0522678	−	0.434594i
$183$	−9.73891	+	7.76652i	−0.719921	+	0.574118i
$184$	1.09329	+	0.917017i	0.0805984	+	0.0676034i
$185$	3.05248	−	2.43427i	0.224423	−	0.178971i
$186$	−2.06118	−	1.94437i	−0.151133	−	0.142568i
$187$	−2.01860	+	2.53124i	−0.147614	+	0.185103i
$188$	16.1967	+	2.71516i	1.18127	+	0.198023i
$189$	−2.59926	+	0.493833i	−0.189068	+	0.0359210i
$190$	−6.90179	+	7.31642i	−0.500709	+	0.530789i
$191$	−5.72013	−	11.8780i	−0.413894	−	0.859460i	−0.998829	−	0.0483799i	$-0.984594\pi$
$191$	−5.72013	−	11.8780i	−0.413894	−	0.859460i	0.584935	−	0.811080i	$-0.301120\pi$
$192$	−7.02726	−	3.82330i	−0.507149	−	0.275923i
$193$	−12.0547	+	5.80524i	−0.867716	+	0.417870i	−0.814123	−	0.580693i	$-0.802782\pi$
$193$	−12.0547	+	5.80524i	−0.867716	+	0.417870i	−0.0535933	+	0.998563i	$0.517067\pi$
$194$	20.5158	−	7.85725i	1.47295	−	0.564117i
$195$	5.64165			0.404007
$196$	0.209807	−	13.9984i	0.0149862	−	0.999888i
$197$	0.847739			0.0603989			0.0301994	−	0.999544i	$-0.490386\pi$
$197$	0.847739			0.0603989			0.0301994	+	0.999544i	$0.490386\pi$
$198$	−0.926824	+	0.354960i	−0.0658665	+	0.0252259i
$199$	−11.0472	+	5.32006i	−0.783117	+	0.377129i	−0.782325	−	0.622871i	$-0.785966\pi$
$199$	−11.0472	+	5.32006i	−0.783117	+	0.377129i	−0.000791843		1.00000i	$0.500252\pi$
$200$	20.0510	−	9.05207i	1.41782	−	0.640078i
$201$	−1.20997	−	2.51253i	−0.0853446	−	0.177220i
$202$	4.82405	−	5.11386i	0.339419	−	0.359810i
$203$	10.5880	−	7.82661i	0.743131	−	0.549320i
$204$	1.52545	−	9.09974i	0.106803	−	0.637109i
$205$	23.2746	−	29.1855i	1.62557	−	2.03840i
$206$	17.4673	+	16.4774i	1.21701	+	1.14804i
$207$	−0.394438	+	0.314554i	−0.0274153	+	0.0218630i
$208$	3.38227	+	5.33047i	0.234518	+	0.369601i
$209$	−1.09165	+	0.870562i	−0.0755110	+	0.0602181i
$210$	13.3018	−	1.39790i	0.917913	−	0.0964641i
$211$	−1.34776	−	1.07481i	−0.0927839	−	0.0739927i	0.575999	−	0.817450i	$-0.304613\pi$
$211$	−1.34776	−	1.07481i	−0.0927839	−	0.0739927i	−0.668783	+	0.743458i	$0.733185\pi$
$212$	−6.40667	−	11.5318i	−0.440012	−	0.792007i
$213$	−14.0210	+	3.20021i	−0.960705	+	0.219275i
$214$	−6.65071	+	20.9462i	−0.454633	+	1.43186i
$215$	−23.3873			−1.59500
$216$	1.81766	−	2.16705i	0.123676	−	0.147449i
$217$	2.12352	+	4.85719i	0.144154	+	0.329728i
$218$	−0.457693	+	0.777863i	−0.0309989	+	0.0526835i
$219$	−10.9361	−	2.49610i	−0.738996	−	0.168671i
$220$	4.81808	−	1.39959i	0.324835	−	0.0943604i
$221$	−4.53963	+	5.69251i	−0.305368	+	0.382920i
$222$	−0.783315	+	1.33127i	−0.0525727	+	0.0893488i
$223$	3.23875	−	14.1899i	0.216882	−	0.950224i	−0.742883	−	0.669421i	$-0.766542\pi$
$223$	3.23875	−	14.1899i	0.216882	−	0.950224i	0.959765	−	0.280803i	$-0.0906007\pi$
$224$	9.29548	+	11.7301i	0.621080	+	0.783747i
$225$	1.73078	+	7.58304i	0.115385	+	0.505536i
$226$	0.515323	+	0.163622i	0.0342788	+	0.0108840i
$227$	28.8298			1.91350			0.956750	−	0.290911i	$-0.0939584\pi$
$227$	28.8298			1.91350			0.956750	+	0.290911i	$0.0939584\pi$
$228$	1.51466	−	3.67967i	0.100311	−	0.243692i
$229$	0.263684	−	0.547545i	0.0174247	−	0.0361828i	−0.892075	−	0.451888i	$-0.850751\pi$
$229$	0.263684	−	0.547545i	0.0174247	−	0.0361828i	0.909500	+	0.415705i	$0.136465\pi$
$230$	2.11904	−	1.41928i	0.139725	−	0.0935846i
$231$	1.85550	+	0.0680291i	0.122083	+	0.00447599i
$232$	−3.47064	+	13.6412i	−0.227859	+	0.895588i
$233$	1.21801	+	5.33645i	0.0797944	+	0.349602i	0.999027	−	0.0441139i	$-0.0140464\pi$
$233$	1.21801	+	5.33645i	0.0797944	+	0.349602i	−0.919232	+	0.393716i	$0.871189\pi$
$234$	−2.08434	+	0.798271i	−0.136257	+	0.0521846i
$235$	12.7356	−	26.4458i	0.830782	−	1.72514i
$236$	5.95545	−	1.72998i	0.387667	−	0.112612i
$237$	−2.53624	−	5.26656i	−0.164747	−	0.342100i
$238$	−9.29299	+	14.5466i	−0.602375	+	0.942915i
$239$	5.63694	−	11.7052i	0.364623	−	0.757148i	−0.635262	−	0.772297i	$-0.719108\pi$
$239$	5.63694	−	11.7052i	0.364623	−	0.757148i	0.999885	+	0.0151488i	$0.00482220\pi$
$240$	−10.0659	+	10.1551i	−0.649749	+	0.655512i
$241$	−8.13111	−	1.85587i	−0.523771	−	0.119547i	−0.0475428	−	0.998869i	$-0.515139\pi$
$241$	−8.13111	−	1.85587i	−0.523771	−	0.119547i	−0.476228	+	0.879322i	$0.657996\pi$
$242$	−14.7116	+	2.09350i	−0.945700	+	0.134575i
$243$	0.623490	+	0.781831i	0.0399969	+	0.0501545i
$244$	−14.3716	+	20.3499i	−0.920047	+	1.30277i
$245$	−23.9219	−	7.33950i	−1.52831	−	0.468903i
$246$	−4.46932	+	14.0760i	−0.284953	+	0.897453i
$247$	−2.45502	+	1.95781i	−0.156209	+	0.124572i
$248$	−5.04351	−	2.58442i	−0.320263	−	0.164111i
$249$	3.43265	−	15.0394i	0.217535	−	0.953084i
$250$	−1.97855	−	13.9038i	−0.125134	−	0.879354i
$251$	−3.45641	−	1.66452i	−0.218167	−	0.105063i	0.321609	−	0.946873i	$-0.395776\pi$
$251$	−3.45641	−	1.66452i	−0.218167	−	0.105063i	−0.539775	+	0.841809i	$0.681491\pi$
$252$	−4.71663	+	2.39862i	−0.297120	+	0.151099i
$253$	0.318991	−	0.153618i	0.0200548	−	0.00965788i
$254$	10.8765	+	16.2390i	0.682453	+	1.01893i
$255$	−14.8580	−	7.15521i	−0.930441	−	0.448077i
$256$	−15.6297	−	3.42246i	−0.976855	−	0.213903i
$257$	25.2558	−	5.76447i	1.57541	−	0.359578i	0.656590	−	0.754248i	$-0.271998\pi$
$257$	25.2558	−	5.76447i	1.57541	−	0.359578i	0.918823	+	0.394670i	$0.129141\pi$
$258$	8.64055	−	3.30920i	0.537937	−	0.206022i
$259$	2.32377	−	1.71772i	0.144392	−	0.106734i
$260$	10.8354	−	3.14755i	0.671983	−	0.195202i
$261$	−4.48370	−	2.15924i	−0.277534	−	0.133653i
$262$	1.60759	−	19.3134i	0.0993175	−	1.19318i
$263$		−	14.0427i		−	0.865913i	−0.901415	−	0.432956i	$-0.857470\pi$
$263$		−	14.0427i		−	0.865913i	0.901415	−	0.432956i	$-0.142530\pi$
$264$	−1.58203	+	1.19883i	−0.0973672	+	0.0737826i
$265$	−22.9871	+	5.24665i	−1.41209	+	0.322299i
$266$	−5.30330	+	5.22441i	−0.325166	+	0.320329i
$267$	−9.61446	−	2.19444i	−0.588395	−	0.134297i
$268$	−3.72564	−	4.15052i	−0.227580	−	0.253533i
$269$	−15.8472	−	12.6377i	−0.966221	−	0.770535i	0.00710236	−	0.999975i	$-0.497739\pi$
$269$	−15.8472	−	12.6377i	−0.966221	−	0.770535i	−0.973323	+	0.229440i	$0.926311\pi$
$270$	−2.81321	−	4.20023i	−0.171207	−	0.255618i
$271$	6.21536	−	27.2313i	0.377556	−	1.65418i	−0.327366	−	0.944898i	$-0.606161\pi$
$271$	6.21536	−	27.2313i	0.377556	−	1.65418i	0.704922	−	0.709284i	$-0.250982\pi$
$272$	−2.14707	−	18.3281i	−0.130185	−	1.11130i
$273$	4.17283	+	0.152991i	0.252551	+	0.00925943i
$274$	2.57425	−	30.9266i	0.155516	−	1.86835i
$275$		−	5.45850i		−	0.329160i
$276$	−0.582067	+	0.824196i	−0.0350363	+	0.0496108i
$277$	3.04154	+	13.3258i	0.182748	+	0.800672i	0.980315	+	0.197441i	$0.0632631\pi$
$277$	3.04154	+	13.3258i	0.182748	+	0.800672i	−0.797567	+	0.603231i	$0.793880\pi$
$278$	15.2659	+	14.4008i	0.915588	+	0.863701i
$279$	1.24924	−	1.56650i	0.0747901	−	0.0937838i
$280$	24.7677	−	10.1061i	1.48015	−	0.603953i
$281$	11.1625	+	13.9974i	0.665901	+	0.835013i	0.993971	−	0.109640i	$-0.0349698\pi$
$281$	11.1625	+	13.9974i	0.665901	+	0.835013i	−0.328071	+	0.944653i	$0.606398\pi$
$282$	−0.963274	+	11.5726i	−0.0573621	+	0.689138i
$283$	2.48051	+	3.11046i	0.147451	+	0.184898i	0.850072	−	0.526667i	$-0.176558\pi$
$283$	2.48051	+	3.11046i	0.147451	+	0.184898i	−0.702621	+	0.711564i	$0.747987\pi$
$284$	−25.1434	+	13.9688i	−1.49199	+	0.828898i
$285$	−5.56049	−	4.43434i	−0.329375	−	0.262668i
$286$	1.55074	−	0.220674i	0.0916971	−	0.0130487i
$287$	18.0065	−	20.9558i	1.06289	−	1.23698i
$288$	2.28198	−	5.17615i	0.134467	−	0.305008i
$289$	3.85890	−	1.85835i	0.226994	−	0.109315i
$290$	21.6829	+	12.7582i	1.27326	+	0.749186i
$291$	6.74012	+	13.9960i	0.395113	+	0.820460i
$292$	−22.3966	+	1.30737i	−1.31066	+	0.0765082i
$293$			14.3309i			0.837222i	0.908166	+	0.418611i	$0.137483\pi$
$293$			14.3309i			0.837222i	−0.908166	+	0.418611i	$0.862517\pi$
$294$	9.87658	−	0.673232i	0.576014	−	0.0392637i
$295$		−	11.0843i		−	0.645353i
$296$	−0.761711	+	2.99386i	−0.0442735	+	0.174015i
$297$	−0.304492	−	0.632285i	−0.0176684	−	0.0366889i
$298$	11.7759	−	20.0135i	0.682161	−	1.15935i
$299$	0.717380	−	0.345472i	0.0414872	−	0.0199792i
$300$	7.55481	+	13.5984i	0.436177	+	0.785105i
$301$	−17.2983	−	0.634218i	−0.997059	−	0.0365557i
$302$	−2.00623	−	14.0984i	−0.115446	−	0.811269i
$303$	3.88653	+	3.09941i	0.223276	+	0.178056i
$304$	0.856136	−	7.91225i	0.0491028	−	0.453798i
$305$	27.7625	+	34.8131i	1.58968	+	1.99339i
$306$	6.50179	+	0.541192i	0.371682	+	0.0309379i
$307$	10.6365	+	13.3378i	0.607059	+	0.761228i	0.986460	−	0.164005i	$-0.0524412\pi$
$307$	10.6365	+	13.3378i	0.607059	+	0.761228i	−0.379401	+	0.925232i	$0.623870\pi$
$308$	3.60164	−	0.904548i	0.205222	−	0.0515414i
$309$	−10.5866	+	13.2752i	−0.602252	+	0.755200i
$310$	−6.95042	+	7.36798i	−0.394758	+	0.418473i
$311$	−4.42756	−	19.3984i	−0.251064	−	1.09998i	−0.930512	−	0.366261i	$-0.880638\pi$
$311$	−4.42756	−	19.3984i	−0.251064	−	1.09998i	0.679448	−	0.733724i	$-0.262219\pi$
$312$	−3.55783	+	2.69604i	−0.201423	+	0.152633i
$313$			6.36306i			0.359661i	0.983698	+	0.179831i	$0.0575550\pi$
$313$			6.36306i			0.359661i	−0.983698	+	0.179831i	$0.942445\pi$
$314$	−26.2252	−	2.18292i	−1.47998	−	0.123189i
$315$	1.76527	+	9.29140i	0.0994619	+	0.523511i
$316$	−7.80941	−	8.70000i	−0.439314	−	0.489413i
$317$	3.74646	−	16.4143i	0.210422	−	0.921920i	−0.753858	−	0.657037i	$-0.771809\pi$
$317$	3.74646	−	16.4143i	0.210422	−	0.921920i	0.964280	−	0.264883i	$-0.0853334\pi$
$318$	7.75032	−	5.19098i	0.434617	−	0.291096i
$319$	2.73051	+	2.17751i	0.152879	+	0.121917i
$320$	−13.6669	+	25.1199i	−0.764003	+	1.40425i
$321$	−15.1503	−	3.45795i	−0.845606	−	0.193004i
$322$	1.60583	−	0.992304i	0.0894894	−	0.0552989i
$323$	8.94864	−	2.04247i	0.497915	−	0.113646i
$324$	1.63367	+	1.15374i	0.0907596	+	0.0640966i
$325$		−	12.2756i		−	0.680931i
$326$	−10.7027	−	0.890865i	−0.592767	−	0.0493404i
$327$	−0.574983	−	0.276897i	−0.0317966	−	0.0153124i
$328$	−0.730629	+	29.5280i	−0.0403422	+	1.63041i
$329$	10.1371	−	19.2152i	0.558874	−	1.05937i
$330$	1.26885	+	3.31306i	0.0698481	+	0.182378i
$331$	−13.9044	+	3.17360i	−0.764257	+	0.174437i	−0.586844	−	0.809700i	$-0.699630\pi$
$331$	−13.9044	+	3.17360i	−0.764257	+	0.174437i	−0.177413	+	0.984137i	$0.556773\pi$
$332$	−1.79790	−	30.7999i	−0.0986727	−	1.69037i
$333$	−0.984049	−	0.473893i	−0.0539256	−	0.0259692i
$334$	8.04433	−	5.38790i	0.440166	−	0.294813i
$335$	−8.98137	+	4.32520i	−0.490705	+	0.236311i
$336$	−7.72059	+	7.23827i	−0.421193	+	0.394880i
$337$	−19.7350	−	9.50386i	−1.07503	−	0.517708i	−0.189307	−	0.981918i	$-0.560624\pi$
$337$	−19.7350	−	9.50386i	−1.07503	−	0.517708i	−0.885725	+	0.464210i	$0.846338\pi$
$338$	−14.7139	+	2.09383i	−0.800333	+	0.113889i
$339$	−0.0850732	+	0.372730i	−0.00462054	+	0.0202439i
$340$	−32.5283	−	5.45292i	−1.76409	−	0.295726i
$341$	−1.09934	+	0.876697i	−0.0595328	+	0.0474758i
$342$	2.68179	+	0.851505i	0.145015	+	0.0460441i
$343$	−17.4947	−	6.07736i	−0.944627	−	0.328147i
$344$	14.7489	−	11.1763i	0.795205	−	0.602588i
$345$	1.12442	+	1.40997i	0.0605366	+	0.0759104i
$346$	1.04422	+	7.33805i	0.0561378	+	0.394496i
$347$	−1.49806	−	0.341922i	−0.0804200	−	0.0183553i	0.182122	−	0.983276i	$-0.441704\pi$
$347$	−1.49806	−	0.341922i	−0.0804200	−	0.0183553i	−0.262542	+	0.964921i	$0.584561\pi$
$348$	−9.81610	−	1.64554i	−0.526198	−	0.0882100i
$349$	1.55839	−	3.23603i	0.0834187	−	0.173221i	−0.855087	−	0.518485i	$-0.826496\pi$
$349$	1.55839	−	3.23603i	0.0834187	−	0.173221i	0.938506	+	0.345264i	$0.112211\pi$
$350$	−3.04168	−	28.9434i	−0.162585	−	1.54709i
$351$	−0.684774	−	1.42195i	−0.0365505	−	0.0758980i
$352$	−2.36962	+	3.18511i	−0.126301	+	0.169767i
$353$	3.29141	−	6.83468i	0.175184	−	0.363773i	−0.794826	−	0.606837i	$-0.792438\pi$
$353$	3.29141	−	6.83468i	0.175184	−	0.363773i	0.970010	+	0.243064i	$0.0781524\pi$
$354$	1.56838	+	4.09515i	0.0833586	+	0.217655i
$355$	11.4396	+	50.1201i	0.607150	+	2.66010i
$356$	−19.6899	+	1.14937i	−1.04356	+	0.0609165i
$357$	−10.7956	−	5.69526i	−0.571365	−	0.301425i
$358$	−14.0967	−	21.0469i	−0.745034	−	1.11236i
$359$	4.96387	−	10.3076i	0.261983	−	0.544013i	−0.727936	−	0.685645i	$-0.759520\pi$
$359$	4.96387	−	10.3076i	0.261983	−	0.544013i	0.989919	+	0.141631i	$0.0452347\pi$
$360$	−7.74644	−	6.49747i	−0.408273	−	0.342446i
$361$	−15.0415			−0.791656
$362$	−8.38460	+	26.4071i	−0.440685	+	1.38793i
$363$	−2.33814	−	10.2441i	−0.122720	−	0.537673i
$364$	8.09973	−	2.03424i	0.424541	−	0.106623i
$365$	−8.92267	+	39.0928i	−0.467034	+	2.04621i
$366$	−15.1829	−	8.93360i	−0.793624	−	0.466967i
$367$	6.07329	−	7.61567i	0.317023	−	0.397535i	−0.597631	−	0.801771i	$-0.703891\pi$
$367$	6.07329	−	7.61567i	0.317023	−	0.397535i	0.914655	+	0.404236i	$0.132463\pi$
$368$	−0.658094	+	1.90770i	−0.0343055	+	0.0994457i
$369$	−10.1811	−	2.32377i	−0.530006	−	0.120970i
$370$	4.75880	+	2.80007i	0.247398	+	0.145569i
$371$	−17.1446	+	3.25731i	−0.890105	+	0.169111i
$372$	1.52533	−	3.70560i	0.0790848	−	0.192126i
$373$	11.3481			0.587580			0.293790	−	0.955870i	$-0.405083\pi$
$373$	11.3481			0.587580			0.293790	+	0.955870i	$0.405083\pi$
$374$	−4.36393	−	1.38561i	−0.225654	−	0.0716480i
$375$	9.68154	−	2.20975i	0.499953	−	0.114111i
$376$	4.60642	+	22.7638i	0.237558	+	1.17396i
$377$	6.14065	+	4.89700i	0.316259	+	0.252209i
$378$	−1.96689	−	3.18298i	−0.101166	−	0.163715i
$379$	29.1014	−	23.2076i	1.49484	−	1.19210i	0.564481	−	0.825446i	$-0.309077\pi$
$379$	29.1014	−	23.2076i	1.49484	−	1.19210i	0.930359	−	0.366649i	$-0.119495\pi$
$380$	−13.1535	−	5.41436i	−0.674760	−	0.277751i
$381$	−10.8052	+	8.61685i	−0.553566	+	0.441454i
$382$	12.7937	−	13.5623i	0.654581	−	0.693905i
$383$	−16.7320	+	20.9813i	−0.854967	+	1.07210i	0.141650	+	0.989917i	$0.454759\pi$
$383$	−16.7320	+	20.9813i	−0.854967	+	1.07210i	−0.996618	+	0.0821785i	$0.973812\pi$
$384$	1.49494	−	11.2145i	0.0762885	−	0.572288i
$385$	0.243179	−	6.63274i	0.0123936	−	0.338035i
$386$	−13.7640	−	12.9840i	−0.700571	−	0.660869i
$387$	2.83871	+	5.89463i	0.144299	+	0.299641i
$388$	20.7537	+	23.1204i	1.05361	+	1.17376i
$389$	9.12793	−	4.39578i	0.462805	−	0.222875i	−0.187927	−	0.982183i	$-0.560177\pi$
$389$	9.12793	−	4.39578i	0.462805	−	0.222875i	0.650731	+	0.759308i	$0.274462\pi$
$390$	2.85353	+	7.45076i	0.144494	+	0.377284i
$391$	−2.32746			−0.117705
$392$	18.5934	−	6.80328i	0.939110	−	0.343617i
$393$	13.7038			0.691267
$394$	0.428784	+	1.11958i	0.0216018	+	0.0564038i
$395$	−18.8261	+	9.06616i	−0.947242	+	0.456168i
$396$	−0.937570	−	1.04449i	−0.0471147	−	0.0524877i
$397$	−6.25157	−	12.9815i	−0.313757	−	0.651524i	0.683136	−	0.730291i	$-0.260616\pi$
$397$	−6.25157	−	12.9815i	−0.313757	−	0.651524i	−0.996893	+	0.0787678i	$0.974901\pi$
$398$	−12.6137	−	11.8989i	−0.632268	−	0.596436i
$399$	−3.99255	−	3.43064i	−0.199878	−	0.171747i
$400$	22.0966	+	21.9023i	1.10483	+	1.09511i
$401$	17.4714	−	21.9084i	0.872480	−	1.09405i	−0.122349	−	0.992487i	$-0.539043\pi$
$401$	17.4714	−	21.9084i	0.872480	−	1.09405i	0.994829	−	0.101568i	$-0.0323859\pi$
$402$	2.70622	−	2.86880i	0.134974	−	0.143083i
$403$	−2.47232	+	1.97161i	−0.123155	+	0.0982127i
$404$	9.19371	+	3.78440i	0.457404	+	0.188281i
$405$	2.79477	−	2.22875i	0.138873	−	0.110748i
$406$	15.6917	+	10.0246i	0.778768	+	0.497511i
$407$	0.599271	+	0.477903i	0.0297048	+	0.0236888i
$408$	12.7893	−	2.58801i	0.633166	−	0.128125i
$409$	−14.4086	+	3.28868i	−0.712461	+	0.162615i	−0.563365	−	0.826208i	$-0.690493\pi$
$409$	−14.4086	+	3.28868i	−0.712461	+	0.162615i	−0.149096	+	0.988823i	$0.547636\pi$
$410$	50.3166	+	15.9762i	2.48496	+	0.789008i
$411$	21.9440			1.08242
$412$	−12.9263	+	31.4028i	−0.636835	+	1.54711i
$413$	0.300585	−	8.19848i	0.0147908	−	0.403421i
$414$	−0.614927	−	0.361822i	−0.0302220	−	0.0177826i
$415$	−53.7605	−	12.2705i	−2.63900	−	0.602334i
$416$	−5.32904	+	7.16300i	−0.261278	+	0.351195i
$417$	−9.25237	+	11.6021i	−0.453090	+	0.568157i
$418$	−1.70188	−	1.00138i	−0.0832416	−	0.0489792i
$419$	−6.75553	+	29.5979i	−0.330029	+	1.44595i	0.489042	+	0.872260i	$0.337346\pi$
$419$	−6.75553	+	29.5979i	−0.330029	+	1.44595i	−0.819071	+	0.573692i	$0.805511\pi$
$420$	8.57419	+	16.8603i	0.418377	+	0.822697i
$421$	5.01671	+	21.9796i	0.244499	+	1.07122i	0.936869	+	0.349679i	$0.113710\pi$
$421$	5.01671	+	21.9796i	0.244499	+	1.07122i	−0.692370	+	0.721543i	$0.743433\pi$
$422$	0.737769	−	2.32358i	0.0359140	−	0.113110i
$423$	−8.21136			−0.399250
$424$	11.9892	−	14.2938i	0.582248	−	0.694170i
$425$	−15.5690	+	32.3294i	−0.755208	+	1.56821i
$426$	−11.3182	−	16.8985i	−0.548369	−	0.818734i
$427$	19.5904	+	26.5023i	0.948047	+	1.28254i
$428$	−31.0270	+	1.81116i	−1.49975	+	0.0875456i
$429$	0.246461	+	1.07982i	0.0118992	+	0.0521340i
$430$	−11.8292	−	30.8868i	−0.570455	−	1.48950i
$431$	−3.05471	+	6.34317i	−0.147140	+	0.305540i	−0.961493	−	0.274831i	$-0.911378\pi$
$431$	−3.05471	+	6.34317i	−0.147140	+	0.305540i	0.814352	+	0.580371i	$0.197092\pi$
$432$	3.78133	+	1.30443i	0.181929	+	0.0627596i
$433$	−0.874598	−	1.81612i	−0.0420305	−	0.0872772i	0.878896	−	0.477013i	$-0.158281\pi$
$433$	−0.874598	−	1.81612i	−0.0420305	−	0.0872772i	−0.920927	+	0.389736i	$0.872566\pi$
$434$	−5.34067	+	5.26123i	−0.256361	+	0.252547i
$435$	−7.71850	+	16.0276i	−0.370074	+	0.768466i
$436$	−1.25880	−	0.211021i	−0.0602856	−	0.0101061i
$437$	−0.978601	−	0.223359i	−0.0468128	−	0.0106847i
$438$	−2.23494	−	15.7056i	−0.106790	−	0.750441i
$439$	7.92057	+	9.93208i	0.378028	+	0.474032i	0.934054	−	0.357133i	$-0.116246\pi$
$439$	7.92057	+	9.93208i	0.378028	+	0.474032i	−0.556025	+	0.831165i	$0.687674\pi$
$440$	4.28537	+	5.65518i	0.204297	+	0.269600i
$441$	1.05372	+	6.92024i	0.0501770	+	0.329535i
$442$	−9.81406	−	3.11609i	−0.466807	−	0.148217i
$443$	26.0948	−	20.8099i	1.23980	−	0.988710i	0.239963	−	0.970782i	$-0.422865\pi$
$443$	26.0948	−	20.8099i	1.23980	−	0.988710i	0.999839	−	0.0179277i	$-0.00570686\pi$
$444$	−2.15436	−	0.361150i	−0.102242	−	0.0171394i
$445$	−7.84432	+	34.3682i	−0.371857	+	1.62921i
$446$	20.3783	−	2.89988i	0.964940	−	0.137313i
$447$	14.7937	+	7.12425i	0.699716	+	0.336965i
$448$	−10.7899	+	18.2093i	−0.509775	+	0.860308i
$449$	28.1613	−	13.5617i	1.32901	−	0.640018i	0.371505	−	0.928431i	$-0.378842\pi$
$449$	28.1613	−	13.5617i	1.32901	−	0.640018i	0.957506	+	0.288412i	$0.0931274\pi$
$450$	−9.13927	+	6.12126i	−0.430829	+	0.288559i
$451$	6.60289	+	3.17979i	0.310918	+	0.149730i
$452$	0.0445584	+	0.763331i	0.00209585	+	0.0359041i
$453$	9.81701	−	2.24067i	0.461243	−	0.105276i
$454$	14.5820	+	38.0746i	0.684368	+	1.78693i
$455$	0.546887	−	14.9164i	0.0256385	−	0.699291i
$456$	5.62574	+	0.139201i	0.263449	+	0.00651869i
$457$	4.03781	+	1.94451i	0.188881	+	0.0909601i	0.525934	−	0.850525i	$-0.323716\pi$
$457$	4.03781	+	1.94451i	0.188881	+	0.0909601i	−0.337053	+	0.941486i	$0.609430\pi$
$458$	0.856496	+	0.0712926i	0.0400214	+	0.00333128i
$459$			4.61336i			0.215333i
$460$	2.94620	+	2.08068i	0.137368	+	0.0970122i
$461$	2.34058	−	0.534221i	0.109012	−	0.0248812i	−0.167667	−	0.985844i	$-0.553623\pi$
$461$	2.34058	−	0.534221i	0.109012	−	0.0248812i	0.276679	+	0.960962i	$0.410766\pi$
$462$	0.848661	+	2.48491i	0.0394833	+	0.115608i
$463$	1.28563	+	0.293437i	0.0597484	+	0.0136372i	0.252291	−	0.967652i	$-0.418816\pi$
$463$	1.28563	+	0.293437i	0.0597484	+	0.0136372i	−0.192542	+	0.981289i	$0.561673\pi$
$464$	−19.7709	+	2.31609i	−0.917843	+	0.107522i
$465$	−5.59967	−	4.46559i	−0.259678	−	0.207087i
$466$	−6.43162	+	4.30775i	−0.297939	+	0.199553i
$467$	6.27873	−	27.5089i	0.290545	−	1.27296i	−0.593224	−	0.805037i	$-0.702145\pi$
$467$	6.27873	−	27.5089i	0.290545	−	1.27296i	0.883769	−	0.467923i	$-0.154998\pi$
$468$	−2.10850	−	2.34896i	−0.0974656	−	0.108581i
$469$	−6.76035	+	2.95557i	−0.312164	+	0.136475i
$470$	41.3679	+	3.44336i	1.90816	+	0.158830i
$471$		−	18.6082i		−	0.857419i
$472$	5.29698	+	6.99016i	0.243813	+	0.321748i
$473$	−1.02169	−	4.47633i	−0.0469775	−	0.205822i
$474$	5.67257	−	6.01335i	0.260550	−	0.276202i
$475$	−9.64867	+	12.0990i	−0.442711	+	0.555142i
$476$	−23.9116	−	4.91535i	−1.09599	−	0.225295i
$477$	4.11252	+	5.15694i	0.188300	+	0.236120i
$478$	18.3099	+	1.52407i	0.837474	+	0.0697092i
$479$	−8.27614	−	10.3780i	−0.378147	−	0.474181i	0.555942	−	0.831221i	$-0.312357\pi$
$479$	−8.27614	−	10.3780i	−0.378147	−	0.474181i	−0.934089	+	0.357040i	$0.883786\pi$
$480$	−18.5029	−	8.15725i	−0.844537	−	0.372326i
$481$	1.34770	+	1.07476i	0.0614499	+	0.0490047i
$482$	−1.66169	−	11.6772i	−0.0756881	−	0.531882i
$483$	0.793437	+	1.07338i	0.0361026	+	0.0488403i
$484$	−10.2059	−	18.3703i	−0.463906	−	0.835015i
$485$	50.0306	−	24.0935i	2.27177	−	1.09403i
$486$	−0.717182	+	1.21887i	−0.0325320	+	0.0552892i
$487$	11.0966	+	23.0423i	0.502835	+	1.04415i	0.985709	+	0.168457i	$0.0538785\pi$
$487$	11.0966	+	23.0423i	0.502835	+	1.04415i	−0.482874	+	0.875690i	$0.660407\pi$
$488$	−34.1446	−	8.68721i	−1.54565	−	0.393251i
$489$		−	7.59412i		−	0.343418i
$490$	−2.40656	−	35.3052i	−0.108717	−	1.59493i
$491$		−	17.6835i		−	0.798044i	−0.916941	−	0.399022i	$-0.869350\pi$
$491$		−	17.6835i		−	0.798044i	0.916941	−	0.399022i	$-0.130650\pi$
$492$	−20.8503	+	1.21711i	−0.940005	+	0.0548715i
$493$	−9.96133	−	20.6849i	−0.448636	−	0.931602i
$494$	−3.82736	−	2.25201i	−0.172201	−	0.101323i
$495$	−2.26019	+	1.08845i	−0.101588	+	0.0489222i
$496$	0.862169	−	7.96800i	0.0387125	−	0.357774i
$497$	7.10210	+	37.3814i	0.318573	+	1.67679i
$498$	21.5983	−	3.07350i	0.967844	−	0.137727i
$499$	−18.9442	−	15.1075i	−0.848059	−	0.676305i	0.0997951	−	0.995008i	$-0.468181\pi$
$499$	−18.9442	−	15.1075i	−0.848059	−	0.676305i	−0.947855	+	0.318703i	$0.896753\pi$
$500$	17.3616	−	9.64551i	0.776434	−	0.431360i
$501$	4.26853	+	5.35257i	0.190704	+	0.239135i
$502$	0.450039	−	5.40668i	0.0200862	−	0.241312i
$503$	−15.1392	−	18.9840i	−0.675026	−	0.846455i	0.319860	−	0.947465i	$-0.396364\pi$
$503$	−15.1392	−	18.9840i	−0.675026	−	0.846455i	−0.994885	+	0.101009i	$0.967793\pi$
$504$	−5.55344	−	5.01591i	−0.247370	−	0.223426i
$505$	11.0793	−	13.8930i	0.493021	−	0.618229i
$506$	0.364223	+	0.343582i	0.0161917	+	0.0152741i
$507$	−2.33851	−	10.2457i	−0.103857	−	0.455026i
$508$	−15.9451	+	22.5779i	−0.707448	+	1.00173i
$509$		−	21.0118i		−	0.931331i	−0.884961	−	0.465665i	$-0.845815\pi$
$509$		−	21.0118i		−	0.931331i	0.884961	−	0.465665i	$-0.154185\pi$
$510$	1.93457	−	23.2415i	0.0856641	−	1.02915i
$511$	−7.65976	+	28.6729i	−0.338848	+	1.26842i
$512$	−3.38551	−	22.3727i	−0.149620	−	0.988744i
$513$	−0.442729	+	1.93972i	−0.0195470	+	0.0856409i
$514$	20.3873	+	30.4389i	0.899244	+	1.34260i
$515$	47.4540	+	37.8433i	2.09107	+	1.66758i
$516$	8.74073	+	9.73753i	0.384789	+	0.428671i
$517$	5.61812	+	1.28230i	0.247085	+	0.0563954i
$518$	3.44390	+	2.20011i	0.151316	+	0.0966675i
$519$	−5.10966	+	1.16625i	−0.224289	+	0.0511925i
$520$	9.63738	+	12.7180i	0.422627	+	0.557720i
$521$		−	3.55162i		−	0.155599i	−0.996969	−	0.0777997i	$-0.975211\pi$
$521$		−	3.55162i		−	0.155599i	0.996969	−	0.0777997i	$-0.0247895\pi$
$522$	0.583797	−	7.01363i	0.0255521	−	0.306978i
$523$	−16.3670	−	7.88195i	−0.715680	−	0.344653i	0.0403541	−	0.999185i	$-0.487151\pi$
$523$	−16.3670	−	7.88195i	−0.715680	−	0.344653i	−0.756034	+	0.654532i	$0.772866\pi$
$524$	26.3197	−	7.64553i	1.14978	−	0.333997i
$525$	20.2171	−	3.84105i	0.882348	−	0.167637i
$526$	18.5458	−	7.10278i	0.808637	−	0.309696i
$527$	9.01169	−	2.05686i	0.392555	−	0.0895982i
$528$	−2.38344	−	1.48298i	−0.103726	−	0.0645383i
$529$	−20.4930	−	9.86889i	−0.890998	−	0.429082i
$530$	−18.5559	−	27.7046i	−0.806017	−	1.20341i
$531$	−2.79374	+	1.34539i	−0.121238	+	0.0583851i
$532$	−9.58212	−	4.36142i	−0.415438	−	0.189092i
$533$	14.8493	+	7.15103i	0.643193	+	0.309746i
$534$	−1.96484	−	13.8075i	−0.0850268	−	0.597508i
$535$	−12.3609	+	54.1568i	−0.534410	+	2.34140i
$536$	3.59705	−	7.01967i	0.155369	−	0.303203i
$537$	14.0043	−	11.1680i	0.604329	−	0.481936i
$538$	8.67479	−	27.3210i	0.373997	−	1.17789i
$539$	0.359734	−	4.89929i	0.0154949	−	0.211028i
$540$	4.12420	−	5.83979i	0.177477	−	0.251305i
$541$	2.66316	+	3.33949i	0.114498	+	0.143576i	0.835778	−	0.549068i	$-0.185017\pi$
$541$	2.66316	+	3.33949i	0.114498	+	0.143576i	−0.721280	+	0.692644i	$0.756446\pi$
$542$	39.1072	−	5.56506i	1.67980	−	0.239040i
$543$	−19.1001	−	4.35947i	−0.819663	−	0.187083i
$544$	23.1194	−	12.1059i	0.991235	−	0.519035i
$545$	−0.989807	+	2.05536i	−0.0423987	+	0.0880418i
$546$	1.90856	+	5.58832i	0.0816787	+	0.239158i
$547$	6.36134	+	13.2095i	0.271991	+	0.564795i	0.991563	−	0.129622i	$-0.0413764\pi$
$547$	6.36134	+	13.2095i	0.271991	+	0.564795i	−0.719572	+	0.694418i	$0.755662\pi$
$548$	42.1459	−	12.2429i	1.80038	−	0.522989i
$549$	5.40469	−	11.2230i	0.230666	−	0.478984i
$550$	7.20888	−	2.76090i	0.307388	−	0.117725i
$551$	−2.20326	−	9.65311i	−0.0938620	−	0.411236i
$552$	−1.38290	−	0.351843i	−0.0588601	−	0.0149754i
$553$	−14.1705	+	6.19524i	−0.602592	+	0.263448i
$554$	−16.0606	+	10.7570i	−0.682351	+	0.457023i
$555$	−1.69400	+	3.51762i	−0.0719062	+	0.149315i
$556$	−11.2972	+	27.4451i	−0.479108	+	1.16393i
$557$	15.3000			0.648280			0.324140	−	0.946009i	$-0.394925\pi$
$557$	15.3000			0.648280			0.324140	+	0.946009i	$0.394925\pi$
$558$	2.70069	+	0.857505i	0.114329	+	0.0363011i
$559$	−2.29769	−	10.0668i	−0.0971820	−	0.425782i
$560$	25.8742	+	27.5983i	1.09338	+	1.16624i
$561$	0.720429	−	3.15640i	0.0304165	−	0.133263i
$562$	−12.8399	+	21.8218i	−0.541620	+	0.920499i
$563$	−17.5893	+	22.0563i	−0.741302	+	0.929563i	−0.999331	−	0.0365740i	$-0.988356\pi$
$563$	−17.5893	+	22.0563i	−0.741302	+	0.929563i	0.258029	+	0.966137i	$0.416927\pi$
$564$	−15.7708	+	4.58122i	−0.664071	+	0.192904i
$565$	1.33238	+	0.304106i	0.0560534	+	0.0127938i
$566$	−2.85326	+	4.84920i	−0.119931	+	0.203827i
$567$	2.12758	−	1.57270i	0.0893501	−	0.0660473i
$568$	−31.1657	−	26.1408i	−1.30768	−	1.09684i
$569$	−14.1930			−0.595001			−0.297500	−	0.954722i	$-0.596153\pi$
$569$	−14.1930			−0.595001			−0.297500	+	0.954722i	$0.596153\pi$
$570$	3.04382	−	9.58644i	0.127492	−	0.401532i
$571$	10.5190	−	2.40089i	0.440206	−	0.100474i	0.00332708	−	0.999994i	$-0.498941\pi$
$571$	10.5190	−	2.40089i	0.440206	−	0.100474i	0.436879	+	0.899520i	$0.356084\pi$
$572$	1.07580	+	1.93640i	0.0449813	+	0.0809649i
$573$	10.3073	+	8.21982i	0.430595	+	0.343388i
$574$	36.7834	+	13.1813i	1.53531	+	0.550175i
$575$	3.06796	−	2.44661i	0.127943	−	0.102031i
$576$	7.99021	+	0.395656i	0.332925	+	0.0164857i
$577$	12.6422	−	10.0818i	0.526302	−	0.419711i	−0.323961	−	0.946070i	$-0.605015\pi$
$577$	12.6422	−	10.0818i	0.526302	−	0.419711i	0.850262	+	0.526359i	$0.176443\pi$
$578$	4.40608	+	4.15638i	0.183269	+	0.172883i
$579$	8.34211	−	10.4607i	0.346686	−	0.434731i
$580$	−5.88220	+	35.0890i	−0.244245	+	1.45699i
$581$	−39.4311	−	10.5337i	−1.63588	−	0.437012i
$582$	−15.0750	+	15.9806i	−0.624877	+	0.662417i
$583$	−2.00842	−	4.17054i	−0.0831805	−	0.172726i
$584$	−13.0548	−	28.9173i	−0.540210	−	1.19661i
$585$	−5.08295	+	2.44782i	−0.210154	+	0.101205i
$586$	−18.9264	+	7.24855i	−0.781844	+	0.299435i
$587$	15.3082			0.631836			0.315918	−	0.948786i	$-0.397687\pi$
$587$	15.3082			0.631836			0.315918	+	0.948786i	$0.397687\pi$
$588$	5.88466	+	12.7032i	0.242679	+	0.523870i
$589$	3.98643			0.164258
$590$	14.6387	−	5.60640i	0.602666	−	0.230812i
$591$	−0.763786	+	0.367820i	−0.0314180	+	0.0151301i
$592$	−4.33918	+	0.508319i	−0.178339	+	0.0208918i
$593$	10.2172	+	21.2162i	0.419570	+	0.871246i	0.998440	+	0.0558267i	$0.0177794\pi$
$593$	10.2172	+	21.2162i	0.419570	+	0.871246i	−0.578870	+	0.815420i	$0.696506\pi$
$594$	0.681028	−	0.721942i	0.0279429	−	0.0296216i
$595$	−20.3585	+	38.5904i	−0.834617	+	1.58205i
$596$	32.3875	+	5.42933i	1.32664	+	0.222394i
$597$	7.64491	−	9.58642i	0.312886	−	0.392346i
$598$	0.819103	+	0.772684i	0.0334956	+	0.0315974i
$599$	−33.8953	+	27.0306i	−1.38492	+	1.10444i	−0.402991	+	0.915204i	$0.632029\pi$
$599$	−33.8953	+	27.0306i	−1.38492	+	1.10444i	−0.981932	+	0.189235i	$0.939399\pi$
$600$	−14.1378	+	16.8555i	−0.577174	+	0.688121i
$601$	6.83001	−	5.44675i	0.278602	−	0.222177i	−0.474213	−	0.880410i	$-0.657267\pi$
$601$	6.83001	−	5.44675i	0.278602	−	0.222177i	0.752814	+	0.658233i	$0.228696\pi$
$602$	−7.91185	−	23.1662i	−0.322463	−	0.944183i
$603$	2.18029	+	1.73872i	0.0887882	+	0.0708062i
$604$	17.6045	−	9.78048i	0.716318	−	0.397962i
$605$	−36.6188	+	8.35800i	−1.48877	+	0.339801i
$606$	−2.12750	+	6.70050i	−0.0864237	+	0.272189i
$607$	24.3637			0.988892			0.494446	−	0.869208i	$-0.335371\pi$
$607$	24.3637			0.988892			0.494446	+	0.869208i	$0.335371\pi$
$608$	10.8825	−	2.87132i	0.441344	−	0.116447i
$609$	−6.14361	+	11.6455i	−0.248952	+	0.471899i
$610$	−31.9344	+	54.2735i	−1.29299	+	2.19747i
$611$	12.6346	+	2.88377i	0.511141	+	0.116665i
$612$	2.57385	+	8.86045i	0.104042	+	0.358162i
$613$	25.1581	−	31.5472i	1.01612	−	1.27418i	0.0548775	−	0.998493i	$-0.482523\pi$
$613$	25.1581	−	31.5472i	1.01612	−	1.27418i	0.961247	−	0.275687i	$-0.0889054\pi$
$614$	−12.2349	+	20.7936i	−0.493760	+	0.839160i
$615$	−8.30662	+	36.3937i	−0.334955	+	1.46754i
$616$	3.01631	+	4.29906i	0.121530	+	0.173214i
$617$	−7.05162	−	30.8952i	−0.283888	−	1.24379i	−0.892763	−	0.450527i	$-0.851236\pi$
$617$	−7.05162	−	30.8952i	−0.283888	−	1.24379i	0.608875	−	0.793266i	$-0.291621\pi$
$618$	−22.8868	−	7.26687i	−0.920643	−	0.292316i
$619$	39.5127			1.58815			0.794074	−	0.607821i	$-0.207956\pi$
$619$	39.5127			1.58815			0.794074	+	0.607821i	$0.207956\pi$
$620$	−13.2462	−	5.45252i	−0.531979	−	0.218978i
$621$	0.218897	−	0.454543i	0.00878402	−	0.0182402i
$622$	23.3795	−	15.6590i	0.937432	−	0.627870i
$623$	−6.73404	+	25.2077i	−0.269794	+	1.00992i
$624$	−5.36012	−	3.33507i	−0.214577	−	0.133510i
$625$	0.754839	+	3.30716i	0.0301935	+	0.132287i
$626$	−8.40350	+	3.21842i	−0.335872	+	0.128634i
$627$	0.605820	−	1.25800i	0.0241941	−	0.0502396i
$628$	−10.3817	−	35.7390i	−0.414276	−	1.42614i
$629$	−2.18624	−	4.53977i	−0.0871710	−	0.181012i
$630$	−11.3780	+	7.03091i	−0.453311	+	0.280118i
$631$	2.14670	−	4.45767i	0.0854589	−	0.177457i	−0.853860	−	0.520503i	$-0.825744\pi$
$631$	2.14670	−	4.45767i	0.0854589	−	0.177457i	0.939319	+	0.343046i	$0.111459\pi$
$632$	7.53986	−	14.7141i	0.299919	−	0.585295i
$633$	1.68063	+	0.383594i	0.0667992	+	0.0152465i
$634$	23.5729	−	3.35448i	0.936198	−	0.133223i
$635$	30.8021	+	38.6246i	1.22234	+	1.53277i
$636$	10.7757	+	7.61004i	0.427283	+	0.301758i
$637$	0.809008	−	11.0180i	0.0320541	−	0.436551i
$638$	−1.49469	+	4.70748i	−0.0591752	+	0.186371i
$639$	11.2440	−	8.96678i	0.444805	−	0.354720i
$640$	−40.0878	−	5.34389i	−1.58461	−	0.211236i
$641$	−0.505030	+	2.21268i	−0.0199475	+	0.0873956i	−0.983922	−	0.178600i	$-0.942843\pi$
$641$	−0.505030	+	2.21268i	−0.0199475	+	0.0873956i	0.963974	+	0.265995i	$0.0857005\pi$
$642$	−3.09615	−	21.7575i	−0.122195	−	0.858702i
$643$	−1.37211	−	0.660775i	−0.0541109	−	0.0260584i	0.406633	−	0.913592i	$-0.366703\pi$
$643$	−1.37211	−	0.660775i	−0.0541109	−	0.0260584i	−0.460743	+	0.887533i	$0.652417\pi$
$644$	2.12273	+	1.61887i	0.0836473	+	0.0637923i
$645$	21.0712	−	10.1473i	0.829677	−	0.399551i
$646$	7.22362	+	10.7851i	0.284210	+	0.424335i
$647$	28.2426	+	13.6009i	1.11033	+	0.534708i	0.896893	−	0.442248i	$-0.145819\pi$
$647$	28.2426	+	13.6009i	1.11033	+	0.534708i	0.213440	+	0.976956i	$0.431533\pi$
$648$	−0.697402	+	2.74110i	−0.0273965	+	0.107681i
$649$	2.12154	−	0.484228i	0.0832778	−	0.0190076i
$650$	16.2121	−	6.20899i	0.635890	−	0.243537i
$651$	−4.02069	−	3.45481i	−0.157583	−	0.135405i
$652$	−4.23685	−	14.5853i	−0.165928	−	0.571205i
$653$	−8.84670	−	4.26035i	−0.346198	−	0.166720i	0.252702	−	0.967544i	$-0.418681\pi$
$653$	−8.84670	−	4.26035i	−0.346198	−	0.166720i	−0.598900	+	0.800824i	$0.704395\pi$
$654$	0.0748651	−	0.899416i	0.00292746	−	0.0351700i
$655$		−	48.9863i		−	1.91405i
$656$	−39.3662	+	13.9702i	−1.53699	+	0.545446i
$657$	10.9361	−	2.49610i	0.426660	−	0.0973823i
$658$	30.5043	+	3.66869i	1.18918	+	0.143020i
$659$	−21.4514	−	4.89615i	−0.835629	−	0.190727i	−0.216764	−	0.976224i	$-0.569550\pi$
$659$	−21.4514	−	4.89615i	−0.835629	−	0.190727i	−0.618865	+	0.785497i	$0.712407\pi$
$660$	−3.73368	+	3.35147i	−0.145333	+	0.130456i
$661$	12.7254	+	10.1482i	0.494961	+	0.394718i	0.838910	−	0.544270i	$-0.183193\pi$
$661$	12.7254	+	10.1482i	0.494961	+	0.394718i	−0.343949	+	0.938988i	$0.611765\pi$
$662$	−11.2241	−	16.7580i	−0.436237	−	0.651317i
$663$	1.62017	−	7.09845i	0.0629224	−	0.275681i
$664$	39.7672	−	17.9529i	1.54327	−	0.696710i
$665$	−12.2633	+	14.2719i	−0.475551	+	0.553442i
$666$	0.128127	−	1.53930i	0.00496483	−	0.0596466i
$667$			2.51069i			0.0972142i
$668$	11.1844	+	7.89872i	0.432739	+	0.305611i
$669$	3.23875	+	14.1899i	0.125217	+	0.548612i
$670$	−10.2549	−	9.67376i	−0.396182	−	0.373730i
$671$	−5.45042	+	6.83461i	−0.210411	+	0.263847i
$672$	−13.4644	−	6.53526i	−0.519401	−	0.252103i
$673$	−6.26733	−	7.85898i	−0.241588	−	0.302941i	0.646224	−	0.763147i	$-0.276347\pi$
$673$	−6.26733	−	7.85898i	−0.241588	−	0.302941i	−0.887812	+	0.460206i	$0.847776\pi$
$674$	2.56957	−	30.8704i	0.0989763	−	1.18908i
$675$	−4.84953	−	6.08112i	−0.186659	−	0.234063i
$676$	−10.2075	−	18.3732i	−0.392597	−	0.706662i
$677$	−10.4270	−	8.31522i	−0.400741	−	0.319580i	0.402296	−	0.915510i	$-0.368212\pi$
$677$	−10.4270	−	8.31522i	−0.400741	−	0.319580i	−0.803037	+	0.595930i	$0.796784\pi$
$678$	−0.535283	+	0.0761721i	−0.0205574	+	0.00292537i
$679$	37.6584	−	16.4640i	1.44520	−	0.631829i
$680$	−9.25120	−	45.7172i	−0.354767	−	1.75317i
$681$	−25.9747	+	12.5088i	−0.995354	+	0.479337i
$682$	−1.71387	−	1.00844i	−0.0656275	−	0.0386151i
$683$	18.4930	+	38.4012i	0.707616	+	1.46938i	0.875321	+	0.483543i	$0.160650\pi$
$683$	18.4930	+	38.4012i	0.707616	+	1.46938i	−0.167704	+	0.985837i	$0.553635\pi$
$684$	0.231886	+	3.97245i	0.00886640	+	0.151891i
$685$		−	78.4421i		−	2.99712i
$686$	−0.822598	−	26.1787i	−0.0314069	−	0.999507i
$687$			0.607729i			0.0231863i
$688$	22.2202	+	13.8254i	0.847137	+	0.527089i
$689$	−4.51675	−	9.37913i	−0.172075	−	0.357317i
$690$	−1.29338	+	2.19814i	−0.0492383	+	0.0836819i
$691$	−22.4170	+	10.7955i	−0.852784	+	0.410679i	−0.808610	−	0.588345i	$-0.799780\pi$
$691$	−22.4170	+	10.7955i	−0.852784	+	0.410679i	−0.0441736	+	0.999024i	$0.514065\pi$
$692$	−9.16298	+	5.09064i	−0.348324	+	0.193517i
$693$	−1.70126	+	0.743778i	−0.0646256	+	0.0282538i
$694$	−0.306147	−	2.15138i	−0.0116212	−	0.0816655i
$695$	41.4733	+	33.0739i	1.57317	+	1.25456i
$696$	−2.79175	−	13.7961i	−0.105821	−	0.522941i
$697$	−30.0378	−	37.6662i	−1.13776	−	1.42671i
$698$	5.06196	+	0.421345i	0.191598	+	0.0159481i
$699$	−3.41279	−	4.27950i	−0.129083	−	0.161865i
$700$	36.6862	−	18.6565i	1.38661	−	0.705151i
$701$	−8.42822	+	10.5687i	−0.318330	+	0.399173i	−0.915092	−	0.403245i	$-0.867882\pi$
$701$	−8.42822	+	10.5687i	−0.318330	+	0.399173i	0.596762	+	0.802418i	$0.296454\pi$
$702$	1.53157	−	1.62358i	0.0578053	−	0.0612780i
$703$	−0.483554	−	2.11859i	−0.0182376	−	0.0799041i
$704$	−5.40502	−	1.51847i	−0.203709	−	0.0572293i
$705$			29.3527i			1.10549i
$706$	10.6911	+	0.889904i	0.402366	+	0.0334920i
$707$	8.57151	−	9.97545i	0.322365	−	0.375165i
$708$	−4.61506	+	4.14263i	−0.173445	+	0.155690i
$709$	−5.37123	+	23.5329i	−0.201721	+	0.883797i	0.768168	+	0.640248i	$0.221169\pi$
$709$	−5.37123	+	23.5329i	−0.201721	+	0.883797i	−0.969889	+	0.243548i	$0.921689\pi$
$710$	−60.4060	+	40.4585i	−2.26700	+	1.51838i
$711$	4.57015	+	3.64458i	0.171394	+	0.136682i
$712$	−11.4770	−	25.4225i	−0.430120	−	0.952749i
$713$	−0.985496	−	0.224933i	−0.0369071	−	0.00842381i
$714$	2.06116	−	17.1381i	0.0771372	−	0.641377i
$715$	3.85995	−	0.881008i	0.144354	−	0.0329478i
$716$	20.6659	−	29.2625i	0.772322	−	1.09359i
$717$			12.9918i			0.485188i
$718$	16.1236	+	1.34209i	0.601728	+	0.0500863i
$719$	−15.9040	−	7.65896i	−0.593119	−	0.285631i	0.113146	−	0.993578i	$-0.463907\pi$
$719$	−15.9040	−	7.65896i	−0.593119	−	0.285631i	−0.706265	+	0.707947i	$0.749621\pi$
$720$	4.66288	−	13.5169i	0.173775	−	0.503745i
$721$	34.0730	+	29.2776i	1.26895	+	1.09036i
$722$	−7.60793	−	19.8648i	−0.283138	−	0.739292i
$723$	8.13111	−	1.85587i	0.302399	−	0.0690206i
$724$	−39.1160	+	2.28334i	−1.45373	+	0.0848596i
$725$	34.8745	+	16.7947i	1.29521	+	0.623738i
$726$	12.3464	−	8.26932i	0.458218	−	0.306903i
$727$	17.4393	−	8.39831i	0.646787	−	0.311476i	−0.0815765	−	0.996667i	$-0.525995\pi$
$727$	17.4393	−	8.39831i	0.646787	−	0.311476i	0.728364	+	0.685191i	$0.240281\pi$
$728$	6.78338	+	9.66816i	0.251409	+	0.358326i
$729$	−0.900969	−	0.433884i	−0.0333692	−	0.0160698i
$730$	−56.1417	+	7.98911i	−2.07790	+	0.295690i
$731$	−6.71637	+	29.4263i	−0.248414	+	1.08837i
$732$	4.11886	−	24.5702i	0.152238	−	0.908142i
$733$	32.7509	−	26.1180i	1.20968	−	0.964689i	0.209767	−	0.977751i	$-0.432729\pi$
$733$	32.7509	−	26.1180i	1.20968	−	0.964689i	0.999915	+	0.0130623i	$0.00415799\pi$
$734$	13.1296	+	4.16883i	0.484624	+	0.153874i
$735$	24.7374	−	3.76666i	0.912451	−	0.138935i
$736$	−2.85230	+	0.0957846i	−0.105137	+	0.00353067i
$737$	−1.22021	−	1.53009i	−0.0449469	−	0.0563616i
$738$	−2.08063	−	14.6212i	−0.0765892	−	0.538214i
$739$	−38.9053	−	8.87987i	−1.43115	−	0.326651i	−0.564447	−	0.825470i	$-0.690910\pi$
$739$	−38.9053	−	8.87987i	−1.43115	−	0.326651i	−0.866707	+	0.498818i	$0.833768\pi$
$740$	−1.29098	+	7.70107i	−0.0474574	+	0.283097i
$741$	1.36243	−	2.82912i	0.0500502	−	0.103930i
$742$	−12.9735	−	20.9949i	−0.476273	−	0.770746i
$743$	−3.36074	−	6.97866i	−0.123294	−	0.256022i	0.830182	−	0.557493i	$-0.188237\pi$
$743$	−3.36074	−	6.97866i	−0.123294	−	0.256022i	−0.953475	+	0.301471i	$0.902522\pi$
$744$	5.66538	+	0.140182i	0.207703	+	0.00513932i
$745$	25.4666	−	52.8820i	0.933025	−	1.93745i
$746$	5.73982	+	14.9870i	0.210150	+	0.548715i
$747$	3.43265	+	15.0394i	0.125594	+	0.550263i
$748$	−0.377336	−	6.46415i	−0.0137968	−	0.236353i
$749$	−10.6114	+	39.7218i	−0.387731	+	1.45140i
$750$	7.81524	+	11.6684i	0.285372	+	0.426071i
$751$	−4.44211	+	9.22415i	−0.162095	+	0.336594i	−0.966158	−	0.257950i	$-0.916953\pi$
$751$	−4.44211	+	9.22415i	−0.162095	+	0.336594i	0.804063	+	0.594544i	$0.202667\pi$
$752$	−27.7336	+	17.5975i	−1.01134	+	0.641713i
$753$	3.83632			0.139803
$754$	−3.36140	+	10.5867i	−0.122415	+	0.385543i
$755$	−8.00958	−	35.0923i	−0.291499	−	1.27714i
$756$	3.20882	−	4.20755i	0.116704	−	0.153027i
$757$	3.60828	−	15.8089i	0.131145	−	0.574585i	−0.866064	−	0.499933i	$-0.833358\pi$
$757$	3.60828	−	15.8089i	0.131145	−	0.574585i	0.997210	−	0.0746525i	$-0.0237848\pi$
$758$	45.3690	+	26.6950i	1.64788	+	0.969608i
$759$	−0.220749	+	0.276810i	−0.00801267	+	0.0100476i
$760$	0.497594	−	20.1100i	0.0180496	−	0.729466i
$761$	36.0885	+	8.23696i	1.30821	+	0.298589i	0.819108	−	0.573640i	$-0.194469\pi$
$761$	36.0885	+	8.23696i	1.30821	+	0.298589i	0.489098	+	0.872229i	$0.337326\pi$
$762$	−16.8452	−	9.91171i	−0.610239	−	0.359063i
$763$	−0.787846	+	1.49340i	−0.0285219	+	0.0540646i
$764$	24.3823	+	10.0365i	0.882119	+	0.363106i
$765$	16.4911			0.596236
$766$	−36.1724	−	11.4852i	−1.30696	−	0.414978i
$767$	4.77114	−	1.08898i	0.172276	−	0.0393208i
$768$	15.5668	−	3.69794i	0.561719	−	0.133438i
$769$	7.56173	+	6.03027i	0.272683	+	0.217457i	0.750278	−	0.661123i	$-0.229920\pi$
$769$	7.56173	+	6.03027i	0.272683	+	0.217457i	−0.477595	+	0.878580i	$0.658491\pi$
$770$	8.88265	−	3.03366i	0.320109	−	0.109325i
$771$	−20.2536	+	16.1517i	−0.729414	+	0.581689i
$772$	10.1858	−	24.7450i	0.366594	−	0.890593i
$773$	−8.77839	+	7.00053i	−0.315737	+	0.251792i	−0.768515	−	0.639831i	$-0.779004\pi$
$773$	−8.77839	+	7.00053i	−0.315737	+	0.251792i	0.452779	+	0.891623i	$0.350433\pi$
$774$	−6.34906	+	6.73048i	−0.228212	+	0.241922i
$775$	−9.71666	+	12.1843i	−0.349033	+	0.437673i
$776$	−20.0373	+	39.1030i	−0.719298	+	1.40372i
$777$	−1.34835	+	2.55586i	−0.0483719	+	0.0916911i
$778$	10.4223	+	9.83162i	0.373656	+	0.352481i
$779$	−9.01493	−	18.7197i	−0.322993	−	0.670702i
$780$	−8.39669	+	7.53714i	−0.300650	+	0.269873i
$781$	−9.09327	+	4.37909i	−0.325383	+	0.156696i
$782$	−1.17722	−	3.07381i	−0.0420974	−	0.109919i
$783$	4.97654			0.177847
$784$	18.3894	+	21.1147i	0.656764	+	0.754096i
$785$	−66.5175			−2.37411
$786$	6.93136	+	18.0982i	0.247233	+	0.645543i
$787$	−16.5011	+	7.94650i	−0.588200	+	0.283262i	−0.704217	−	0.709985i	$-0.748702\pi$
$787$	−16.5011	+	7.94650i	−0.588200	+	0.283262i	0.116017	+	0.993247i	$0.462987\pi$
$788$	−1.26172	+	1.13256i	−0.0449470	+	0.0403459i
$789$	6.09292	+	12.6521i	0.216914	+	0.450426i
$790$	−21.4956	−	20.2774i	−0.764778	−	0.721437i
$791$	0.977242	+	0.261063i	0.0347467	+	0.00928233i
$792$	0.905208	−	1.76652i	0.0321652	−	0.0627706i
$793$	−12.2575	+	15.3704i	−0.435275	+	0.545818i
$794$	13.9823	−	14.8223i	0.496212	−	0.526023i
$795$	18.4342	−	14.7008i	0.653794	−	0.521383i
$796$	9.33450	−	22.6769i	0.330853	−	0.803763i
$797$	25.6837	−	20.4821i	0.909764	−	0.725513i	−0.0522150	−	0.998636i	$-0.516628\pi$
$797$	25.6837	−	20.4821i	0.909764	−	0.725513i	0.961979	+	0.273123i	$0.0880567\pi$
$798$	2.51132	−	7.00805i	0.0888999	−	0.248082i
$799$	−29.6173	−	23.6190i	−1.04778	−	0.835580i
$800$	−17.7493	+	40.2604i	−0.627534	+	1.42342i
$801$	9.61446	−	2.19444i	0.339710	−	0.0775366i
$802$	37.7708	+	11.9927i	1.33373	+	0.423478i
$803$	−7.87218			−0.277803
$804$	5.15753	+	2.12299i	0.181892	+	0.0748722i
$805$	3.83693	−	2.83625i	0.135234	−	0.0999647i
$806$	−3.85433	−	2.26788i	−0.135763	−	0.0798827i
$807$	19.7611	+	4.51035i	0.695625	+	0.158772i
$808$	−0.347796	+	14.0560i	−0.0122354	+	0.494488i
$809$	−2.79135	+	3.50024i	−0.0981387	+	0.123062i	−0.828476	−	0.560025i	$-0.810792\pi$
$809$	−2.79135	+	3.50024i	−0.0981387	+	0.123062i	0.730337	+	0.683087i	$0.239363\pi$
$810$	4.35703	+	2.56367i	0.153090	+	0.0900781i
$811$	−6.12068	+	26.8165i	−0.214926	+	0.941653i	0.746239	+	0.665678i	$0.231858\pi$
$811$	−6.12068	+	26.8165i	−0.214926	+	0.941653i	−0.961165	+	0.275975i	$0.910999\pi$
$812$	−5.30230	+	25.7940i	−0.186074	+	0.905192i
$813$	6.21536	+	27.2313i	0.217982	+	0.955042i
$814$	−0.328042	+	1.03316i	−0.0114979	+	0.0362123i
$815$	−27.1462			−0.950891
$816$	9.88670	+	15.5815i	0.346104	+	0.545460i
$817$	−5.64791	+	11.7280i	−0.197595	+	0.410311i
$818$	−11.6311	−	17.3656i	−0.406672	−	0.607175i
$819$	−3.82597	+	1.67269i	−0.133690	+	0.0584484i
$820$	4.35072	+	74.5324i	0.151934	+	2.60278i
$821$	−2.58633	−	11.3314i	−0.0902635	−	0.395470i	0.909533	−	0.415631i	$-0.136439\pi$
$821$	−2.58633	−	11.3314i	−0.0902635	−	0.395470i	−0.999797	+	0.0201610i	$0.993582\pi$
$822$	11.0992	+	28.9808i	0.387130	+	1.01082i
$823$	24.0963	−	50.0364i	0.839943	−	1.74416i	0.193648	−	0.981071i	$-0.437968\pi$
$823$	24.0963	−	50.0364i	0.839943	−	1.74416i	0.646294	−	0.763088i	$-0.276318\pi$
$824$	−48.0109	−	1.18796i	−1.67254	−	0.0413847i
$825$	2.36836	+	4.91794i	0.0824556	+	0.171221i
$826$	10.9795	−	3.74979i	0.382026	−	0.130472i
$827$	−14.3221	+	29.7402i	−0.498029	+	1.03417i	0.488799	+	0.872396i	$0.337435\pi$
$827$	−14.3221	+	29.7402i	−0.498029	+	1.03417i	−0.986828	+	0.161771i	$0.948279\pi$
$828$	0.166819	−	0.995125i	0.00579736	−	0.0345830i
$829$	−28.2255	−	6.44228i	−0.980311	−	0.223750i	−0.297803	−	0.954627i	$-0.596254\pi$
$829$	−28.2255	−	6.44228i	−0.980311	−	0.223750i	−0.682508	+	0.730878i	$0.739111\pi$
$830$	−10.9866	−	77.2062i	−0.381352	−	2.67987i
$831$	−8.52219	−	10.6865i	−0.295632	−	0.370710i
$832$	−12.1554	−	3.41488i	−0.421412	−	0.118390i
$833$	−16.1046	+	27.9913i	−0.557992	+	0.969840i
$834$	−20.0024	−	6.35101i	−0.692625	−	0.219918i
$835$	19.1335	−	15.2585i	0.662143	−	0.528041i
$836$	0.461690	−	2.75412i	0.0159679	−	0.0952531i
$837$	−0.445849	+	1.95339i	−0.0154108	+	0.0675191i
$838$	−42.5060	+	6.04871i	−1.46834	+	0.208949i
$839$	−17.0701	−	8.22054i	−0.589326	−	0.283805i	0.115360	−	0.993324i	$-0.463198\pi$
$839$	−17.0701	−	8.22054i	−0.589326	−	0.283805i	−0.704686	+	0.709519i	$0.748912\pi$
$840$	−17.9301	+	19.8515i	−0.618646	+	0.684943i
$841$	3.81478	−	1.83710i	0.131544	−	0.0633483i
$842$	−26.4904	+	17.7427i	−0.912920	+	0.611452i
$843$	−16.1303	−	7.76795i	−0.555558	−	0.267543i
$844$	3.44185	−	0.200913i	0.118473	−	0.00691572i
$845$	−36.6246	+	8.35931i	−1.25992	+	0.287569i
$846$	−4.15328	−	10.8445i	−0.142793	−	0.372842i
$847$	−27.3117	+	5.18895i	−0.938440	+	0.178294i
$848$	24.9416	+	8.60402i	0.856497	+	0.295463i
$849$	−3.58444	−	1.72617i	−0.123018	−	0.0592422i
$850$	−50.5712	−	4.20942i	−1.73458	−	0.144382i
$851$			0.551027i			0.0188889i
$852$	16.5926	−	23.4948i	0.568453	−	0.804919i
$853$	−1.62141	+	0.370075i	−0.0555159	+	0.0126711i	−0.250189	−	0.968197i	$-0.580493\pi$
$853$	−1.62141	+	0.370075i	−0.0555159	+	0.0126711i	0.194673	+	0.980868i	$0.437636\pi$
$854$	−25.0920	+	39.2773i	−0.858631	+	1.34404i
$855$	6.93381	+	1.58260i	0.237131	+	0.0541237i
$856$	−18.0853	−	40.0603i	−0.618143	−	1.36923i
$857$	15.6265	+	12.4617i	0.533790	+	0.425683i	0.852931	−	0.522024i	$-0.174823\pi$
$857$	15.6265	+	12.4617i	0.533790	+	0.425683i	−0.319141	+	0.947707i	$0.603394\pi$
$858$	−1.30142	+	0.871661i	−0.0444298	+	0.0297580i
$859$	−8.05984	+	35.3125i	−0.274998	+	1.20485i	0.629033	+	0.777379i	$0.283451\pi$
$859$	−8.05984	+	35.3125i	−0.274998	+	1.20485i	−0.904031	+	0.427467i	$0.859406\pi$
$860$	34.8081	−	31.2449i	1.18695	−	1.06544i
$861$	−7.13091	+	26.6933i	−0.243021	+	0.909704i
$862$	−9.92230	−	0.825907i	−0.337955	−	0.0281305i
$863$			17.4485i			0.593952i	0.954885	+	0.296976i	$0.0959782\pi$
$863$			17.4485i			0.593952i	−0.954885	+	0.296976i	$0.904022\pi$
$864$	0.189858	+	5.65367i	0.00645912	+	0.192342i
$865$	4.16891	+	18.2652i	0.141747	+	0.621035i
$866$	1.95613	−	2.07364i	0.0664719	−	0.0704653i
$867$	−2.67044	+	3.34863i	−0.0906929	+	0.113725i
$868$	−9.64964	−	4.39215i	−0.327530	−	0.149079i
$869$	−2.55770	−	3.20726i	−0.0867641	−	0.108799i
$870$	−25.0712	−	2.08686i	−0.849993	−	0.0707513i
$871$	−2.74413	−	3.44102i	−0.0929811	−	0.116595i
$872$	−0.358009	−	1.76919i	−0.0121237	−	0.0599125i
$873$	−12.1453	−	9.68553i	−0.411055	−	0.327806i
$874$	−0.199990	−	1.40538i	−0.00676475	−	0.0475378i
$875$	−4.90402	−	25.8120i	−0.165786	−	0.872603i
$876$	19.6114	−	10.8954i	0.662609	−	0.368123i
$877$	−32.0955	+	15.4564i	−1.08379	+	0.521925i	−0.888526	−	0.458825i	$-0.848270\pi$
$877$	−32.0955	+	15.4564i	−1.08379	+	0.521925i	−0.195263	+	0.980751i	$0.562556\pi$
$878$	−9.11080	+	15.4841i	−0.307475	+	0.522562i
$879$	−6.21796	−	12.9117i	−0.209727	−	0.435502i
$880$	−5.30111	+	8.51993i	−0.178700	+	0.287207i
$881$			15.6820i			0.528340i	0.964476	+	0.264170i	$0.0850980\pi$
$881$			15.6820i			0.528340i	−0.964476	+	0.264170i	$0.914902\pi$
$882$	−8.60638	+	4.89185i	−0.289792	+	0.164717i
$883$		−	20.5360i		−	0.691090i	−0.938402	−	0.345545i	$-0.887694\pi$
$883$		−	20.5360i		−	0.691090i	0.938402	−	0.345545i	$-0.112306\pi$
$884$	−0.848591	−	14.5372i	−0.0285412	−	0.488941i
$885$	4.80930	+	9.98660i	0.161663	+	0.335696i
$886$	40.6817	+	23.9371i	1.36673	+	0.804181i
$887$	21.7069	−	10.4535i	0.728845	−	0.350993i	−0.0323849	−	0.999475i	$-0.510310\pi$
$887$	21.7069	−	10.4535i	0.728845	−	0.350993i	0.761230	+	0.648482i	$0.224596\pi$
$888$	−0.612711	−	3.02787i	−0.0205612	−	0.101609i
$889$	21.7353	+	29.4039i	0.728979	+	0.986176i
$890$	−49.3567	+	7.02358i	−1.65444	+	0.235431i
$891$	0.548676	+	0.437555i	0.0183813	+	0.0146586i
$892$	14.1371	+	25.4462i	0.473344	+	0.852003i
$893$	−10.1862	−	12.7731i	−0.340868	−	0.427435i
$894$	−1.92619	+	23.1410i	−0.0644216	+	0.773949i
$895$	−39.9217	−	50.0602i	−1.33443	−	1.67333i
$896$	−29.5060	−	5.03970i	−0.985725	−	0.168365i
$897$	−0.496442	+	0.622519i	−0.0165757	+	0.0207853i
$898$	32.1545	+	30.3322i	1.07301	+	1.01220i
$899$	−2.21878	−	9.72113i	−0.0740006	−	0.324218i
$900$	−12.7068	−	8.97384i	−0.423559	−	0.299128i
$901$			30.4296i			1.01376i
$902$	−0.859724	+	10.3286i	−0.0286257	+	0.343904i
$903$	15.8604	−	6.93405i	0.527802	−	0.230751i
$904$	−0.985571	+	0.444938i	−0.0327796	+	0.0147984i
$905$	−15.5835	+	68.2759i	−0.518014	+	2.26957i
$906$	7.92460	+	11.8317i	0.263277	+	0.393082i
$907$	−39.1050	−	31.1852i	−1.29846	−	1.03549i	−0.996622	−	0.0821281i	$-0.973828\pi$
$907$	−39.1050	−	31.1852i	−1.29846	−	1.03549i	−0.301838	−	0.953359i	$-0.597600\pi$
$908$	−42.9085	+	38.5161i	−1.42397	+	1.27820i
$909$	−4.84643	−	1.10617i	−0.160746	−	0.0366892i
$910$	19.9762	−	6.82240i	0.662206	−	0.226160i
$911$	−24.9254	+	5.68905i	−0.825815	+	0.188487i	−0.614485	−	0.788928i	$-0.710636\pi$
$911$	−24.9254	+	5.68905i	−0.825815	+	0.188487i	−0.211329	+	0.977415i	$0.567779\pi$
$912$	2.66164	+	7.50015i	0.0881358	+	0.248355i
$913$		−	10.8258i		−	0.358283i
$914$	−0.525739	+	6.31614i	−0.0173899	+	0.208919i
$915$	−40.1180	−	19.3198i	−1.32626	−	0.638693i
$916$	0.339059	+	1.16721i	0.0112028	+	0.0385656i
$917$	1.32841	−	36.2326i	0.0438681	−	1.19651i
$918$	−6.09272	+	2.33342i	−0.201090	+	0.0770144i
$919$	10.7136	−	2.44532i	0.353411	−	0.0806637i	−0.0421300	−	0.999112i	$-0.513414\pi$
$919$	10.7136	−	2.44532i	0.353411	−	0.0806637i	0.395541	+	0.918448i	$0.370557\pi$
$920$	−1.25771	+	4.94337i	−0.0414655	+	0.162978i
$921$	−15.3702	−	7.40191i	−0.506466	−	0.243901i
$922$	1.88939	+	2.82092i	0.0622236	+	0.0929021i
$923$	−20.4499	+	9.84814i	−0.673116	+	0.324156i
$924$	−2.85249	+	2.37766i	−0.0938402	+	0.0782193i
$925$	7.65398	+	3.68596i	0.251661	+	0.121194i
$926$	0.262735	+	1.84632i	0.00863402	+	0.0606737i
$927$	3.77832	−	16.5539i	0.124096	−	0.543701i
$928$	−13.0589	−	24.9394i	−0.428679	−	0.818677i
$929$	−31.9030	+	25.4418i	−1.04670	+	0.834717i	−0.986548	−	0.163472i	$-0.947731\pi$
$929$	−31.9030	+	25.4418i	−1.04670	+	0.834717i	−0.0601540	+	0.998189i	$0.519159\pi$
$930$	3.06527	−	9.65399i	0.100514	−	0.316567i
$931$	−9.45756	+	10.2236i	−0.309959	+	0.335067i
$932$	−8.94221	−	6.31520i	−0.292912	−	0.206861i
$933$	12.4058	+	15.5563i	0.406146	+	0.509291i
$934$	39.5060	−	5.62180i	1.29267	−	0.183951i
$935$	−11.2830	−	2.57527i	−0.368994	−	0.0842204i
$936$	2.03573	−	3.97274i	0.0665398	−	0.129853i
$937$	10.3901	−	21.5752i	0.339429	−	0.704832i	−0.659470	−	0.751731i	$-0.729219\pi$
$937$	10.3901	−	21.5752i	0.339429	−	0.704832i	0.998900	+	0.0468984i	$0.0149337\pi$
$938$	−7.32269	−	7.43327i	−0.239094	−	0.242705i
$939$	−2.76083	−	5.73292i	−0.0900962	−	0.187087i
$940$	16.3762	+	56.3749i	0.534133	+	1.83875i
$941$	−9.28680	+	19.2842i	−0.302741	+	0.628648i	−0.995731	−	0.0922986i	$-0.970579\pi$
$941$	−9.28680	+	19.2842i	−0.302741	+	0.628648i	0.692990	+	0.720947i	$0.256293\pi$
$942$	24.5752	−	9.41195i	0.800705	−	0.306658i
$943$	1.17235	+	5.13641i	0.0381770	+	0.167264i
$944$	−6.55250	+	10.5312i	−0.213266	+	0.342760i
$945$	−5.62184	−	7.60534i	−0.182879	−	0.247402i
$946$	5.39499	−	3.61344i	0.175406	−	0.117483i
$947$	−18.3724	+	38.1507i	−0.597024	+	1.23973i	0.355331	+	0.934740i	$0.384368\pi$
$947$	−18.3724	+	38.1507i	−0.597024	+	1.23973i	−0.952355	+	0.304992i	$0.901346\pi$
$948$	10.8108	+	4.45006i	0.351119	+	0.144531i
$949$	−17.7038			−0.574688
$950$	−20.8591	−	6.62304i	−0.676759	−	0.214880i
$951$	3.74646	+	16.4143i	0.121487	+	0.532271i
$952$	−5.60286	−	34.0655i	−0.181590	−	1.10407i
$953$	−2.15447	+	9.43935i	−0.0697901	+	0.305770i	−0.997761	−	0.0668826i	$-0.978695\pi$
$953$	−2.15447	+	9.43935i	−0.0697901	+	0.305770i	0.927971	+	0.372653i	$0.121552\pi$
$954$	−4.73052	+	8.03965i	−0.153156	+	0.260293i
$955$	29.3829	−	36.8450i	0.950808	−	1.19227i
$956$	7.24829	+	24.9522i	0.234427	+	0.807011i
$957$	−3.40489	−	0.777143i	−0.110064	−	0.0251215i
$958$	9.51981	−	16.1792i	0.307571	−	0.522726i
$959$	2.12720	−	58.0195i	0.0686909	−	1.87355i
$960$	1.41433	−	28.5621i	0.0456472	−	0.921838i
$961$	−26.9855			−0.870499
$962$	−0.737735	+	2.32348i	−0.0237855	+	0.0749120i
$963$	15.1503	−	3.45795i	0.488211	−	0.111431i
$964$	14.5813	−	8.10085i	0.469630	−	0.260911i
$965$	−37.3931	−	29.8200i	−1.20373	−	0.959941i
$966$	−1.01626	+	1.59078i	−0.0326976	+	0.0511825i
$967$	−8.62923	+	6.88158i	−0.277497	+	0.221297i	−0.752342	−	0.658773i	$-0.771076\pi$
$967$	−8.62923	+	6.88158i	−0.277497	+	0.221297i	0.474844	+	0.880070i	$0.342504\pi$
$968$	19.0990	−	22.7703i	0.613866	−	0.731866i
$969$	−7.17625	+	5.72287i	−0.230534	+	0.183845i
$970$	57.1249	+	53.8876i	1.83417	+	1.73023i
$971$	30.6982	−	38.4944i	0.985153	−	1.23534i	0.0132621	−	0.999912i	$-0.495778\pi$
$971$	30.6982	−	38.4944i	0.985153	−	1.23534i	0.971891	−	0.235431i	$-0.0756502\pi$
$972$	−1.97248	−	0.330659i	−0.0632672	−	0.0106059i
$973$	29.7788	+	25.5877i	0.954663	+	0.820304i
$974$	−24.8187	+	26.3097i	−0.795242	+	0.843016i
$975$	5.32620	+	11.0600i	0.170575	+	0.354203i
$976$	−5.79731	−	49.4877i	−0.185567	−	1.58406i
$977$	29.0550	−	13.9922i	0.929553	−	0.447649i	0.0930809	−	0.995659i	$-0.470328\pi$
$977$	29.0550	−	13.9922i	0.929553	−	0.447649i	0.836472	+	0.548009i	$0.184614\pi$
$978$	10.0293	−	3.84108i	0.320702	−	0.122824i
$979$	−6.92079			−0.221189
$980$	45.4093	−	21.0355i	1.45055	−	0.671956i
$981$	0.638183			0.0203756
$982$	23.3540	−	8.94425i	0.745258	−	0.285423i
$983$	36.9309	−	17.7850i	1.17791	−	0.567253i	0.260610	−	0.965444i	$-0.416076\pi$
$983$	36.9309	−	17.7850i	1.17791	−	0.567253i	0.917303	+	0.398191i	$0.130362\pi$
$984$	−12.1534	−	26.9208i	−0.387437	−	0.858203i
$985$	1.31482	+	2.73026i	0.0418938	+	0.0869933i
$986$	22.2795	−	23.6180i	0.709525	−	0.752151i
$987$	−0.795989	+	21.7106i	−0.0253366	+	0.691057i
$988$	1.03830	−	6.19374i	0.0330326	−	0.197049i
$989$	2.05798	−	2.58063i	0.0654401	−	0.0820593i
$990$	−2.58068	−	2.43443i	−0.0820195	−	0.0773713i
$991$	−35.9621	+	28.6788i	−1.14237	+	0.911012i	−0.996926	−	0.0783541i	$-0.975034\pi$
$991$	−35.9621	+	28.6788i	−1.14237	+	0.911012i	−0.145447	+	0.989366i	$0.546462\pi$
$992$	10.9592	−	2.89155i	0.347954	−	0.0918068i
$993$	11.1505	−	8.89222i	0.353850	−	0.282186i
$994$	−45.7763	+	28.2870i	−1.45194	+	0.897208i
$995$	−34.2680	−	27.3278i	−1.08637	−	0.866350i
$996$	14.9834	+	26.9697i	0.474769	+	0.854568i
$997$	−42.0894	+	9.60662i	−1.33298	+	0.304245i	−0.828894	−	0.559406i	$-0.811029\pi$
$997$	−42.0894	+	9.60662i	−1.33298	+	0.304245i	−0.504090	+	0.863651i	$0.668172\pi$
$998$	10.3701	−	32.6604i	0.328260	−	1.03385i
$999$	1.09221			0.0345561

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.139.18	yes	168
4.3	odd	2		588.2.x.b.139.24	yes	168
49.6	odd	14		588.2.x.b.55.24	yes	168
196.55	even	14	inner	588.2.x.a.55.18	✓	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.18	✓	168	196.55	even	14	inner
588.2.x.a.139.18	yes	168	1.1	even	1	trivial
588.2.x.b.55.24	yes	168	49.6	odd	14
588.2.x.b.139.24	yes	168	4.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.505797 + 1.32067i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.48834 + 1.33598i) q^{4} +(1.55098 + 3.22064i) q^{5} +(-1.02872 - 0.970425i) q^{6} +(1.05984 + 2.42420i) q^{7} +(-2.51719 - 1.28987i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\)	\(q+(0.505797 + 1.32067i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.48834 + 1.33598i) q^{4} +(1.55098 + 3.22064i) q^{5} +(-1.02872 - 0.970425i) q^{6} +(1.05984 + 2.42420i) q^{7} +(-2.51719 - 1.28987i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-3.46892 + 3.67732i) q^{10} +(-0.548676 + 0.437555i) q^{11} +(0.761286 - 1.84944i) q^{12} +(-1.23392 + 0.984018i) q^{13} +(-2.66550 + 2.62585i) q^{14} +(-2.79477 - 2.22875i) q^{15} +(0.430304 - 3.97679i) q^{16} +(4.49769 - 1.02657i) q^{17} +(1.34790 + 0.427976i) q^{18} +1.98961 q^{19} +(-6.61110 - 2.72132i) q^{20} +(-2.00670 - 1.72428i) q^{21} +(-0.855384 - 0.503306i) q^{22} +(-0.491856 - 0.112263i) q^{23} +(2.82756 + 0.0699641i) q^{24} +(-4.84953 + 6.08112i) q^{25} +(-1.92368 - 1.13189i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(-4.81609 - 2.19210i) q^{28} +(-1.10738 - 4.85176i) q^{29} +(1.52986 - 4.81826i) q^{30} +2.00363 q^{31} +(5.46967 - 1.44316i) q^{32} +(0.304492 - 0.632285i) q^{33} +(3.63068 + 5.42073i) q^{34} +(-6.16368 + 7.17324i) q^{35} +(0.116549 + 1.99660i) q^{36} +(-0.243040 - 1.06483i) q^{37} +(1.00634 + 2.62761i) q^{38} +(0.684774 - 1.42195i) q^{39} +(0.250097 - 10.1075i) q^{40} +(-4.53101 - 9.40873i) q^{41} +(1.26222 - 3.52233i) q^{42} +(-2.83871 + 5.89463i) q^{43} +(0.232051 - 1.38425i) q^{44} +(3.48502 + 0.795432i) q^{45} +(-0.100517 - 0.706362i) q^{46} +(-5.11970 - 6.41990i) q^{47} +(1.33777 + 3.76966i) q^{48} +(-4.75348 + 5.13853i) q^{49} +(-10.4840 - 3.32882i) q^{50} +(-3.60687 + 2.87638i) q^{51} +(0.521860 - 3.11305i) q^{52} +(-1.46774 + 6.43060i) q^{53} +(-1.40011 + 0.199239i) q^{54} +(-2.26019 - 1.08845i) q^{55} +(0.459080 - 7.46922i) q^{56} +(-1.79257 + 0.863258i) q^{57} +(5.84747 - 3.91650i) q^{58} +(-2.79374 - 1.34539i) q^{59} +(7.13713 - 0.416620i) q^{60} +(12.1442 - 2.77184i) q^{61} +(1.01343 + 2.64613i) q^{62} +(2.55611 + 0.682847i) q^{63} +(4.67248 + 6.49369i) q^{64} +(-5.08295 - 2.44782i) q^{65} +(0.989051 + 0.0823261i) q^{66} +2.78869i q^{67} +(-5.32261 + 7.53671i) q^{68} +(0.491856 - 0.112263i) q^{69} +(-12.5911 - 4.51198i) q^{70} +(14.0210 + 3.20021i) q^{71} +(-2.57790 + 1.16380i) q^{72} +(8.77011 + 6.99393i) q^{73} +(1.28336 - 0.859563i) q^{74} +(1.73078 - 7.58304i) q^{75} +(-2.96121 + 2.65808i) q^{76} +(-1.64223 - 0.866362i) q^{77} +(2.22428 + 0.185143i) q^{78} +5.84545i q^{79} +(13.4752 - 4.78206i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(10.1341 - 10.7429i) q^{82} +(-9.61807 + 12.0607i) q^{83} +(5.29026 - 0.114607i) q^{84} +(10.2820 + 12.8932i) q^{85} +(-9.22067 - 0.767505i) q^{86} +(3.10282 + 3.89081i) q^{87} +(1.94551 - 0.393688i) q^{88} +(7.71020 + 6.14868i) q^{89} +(0.712207 + 5.00488i) q^{90} +(-3.69321 - 1.94837i) q^{91} +(0.882030 - 0.490026i) q^{92} +(-1.80521 + 0.869341i) q^{93} +(5.88904 - 10.0086i) q^{94} +(3.08584 + 6.40781i) q^{95} +(-4.30184 + 3.67344i) q^{96} -15.5344i q^{97} +(-9.19059 - 3.67872i) q^{98} +0.701783i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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