LMFDB - Embedded newform 588.2.x.a.55.18

Newspace parameters

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

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

Embedding invariants

Embedding label			55.18
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.18

$q$-expansion

$f(q)$	$=$	$q+(0.505797 - 1.32067i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.48834 - 1.33598i) q^{4} +(1.55098 - 3.22064i) q^{5} +(-1.02872 + 0.970425i) q^{6} +(1.05984 - 2.42420i) q^{7} +(-2.51719 + 1.28987i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(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 $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	0.505797	−	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	−0.194596	−	0.980884i	$-0.562339\pi$
$5$	1.55098	−	3.22064i	0.693618	−	1.44031i	0.888214	−	0.459430i	$-0.151946\pi$
$6$	−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	0.537274	−	0.843407i	$-0.319454\pi$
$11$	−0.548676	−	0.437555i	−0.165432	−	0.131928i	−0.702707	+	0.711480i	$0.748025\pi$
$12$	0.761286	+	1.84944i	0.219764	+	0.533889i
$13$	−1.23392	−	0.984018i	−0.342228	−	0.272918i	0.437260	−	0.899335i	$-0.355949\pi$
$13$	−1.23392	−	0.984018i	−0.342228	−	0.272918i	−0.779488	+	0.626418i	$0.784520\pi$
$14$	−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	0.729864	−	0.683592i	$-0.239583\pi$
$17$	4.49769	+	1.02657i	1.09085	+	0.248979i	0.360986	+	0.932571i	$0.382440\pi$
$18$	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	−0.273492	−	0.961874i	$-0.588179\pi$
$23$	−0.491856	+	0.112263i	−0.102559	+	0.0234084i	0.170933	+	0.985283i	$0.445322\pi$
$24$	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	0.761796	+	0.647817i	$0.224318\pi$
$29$	−1.10738	+	4.85176i	−0.205636	+	0.900950i	−0.967432	+	0.253133i	$0.918539\pi$
$30$	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	−0.990969	−	0.134094i	$-0.957188\pi$
$37$	−0.243040	+	1.06483i	−0.0399555	+	0.175057i	0.951013	+	0.309151i	$0.100045\pi$
$38$	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	0.167688	+	0.985840i	$0.446370\pi$
$41$	−4.53101	+	9.40873i	−0.707625	+	1.46940i	−0.875313	+	0.483557i	$0.839344\pi$
$42$	1.26222	+	3.52233i	0.194765	+	0.543507i
$43$	−2.83871	−	5.89463i	−0.432898	−	0.898923i	−0.997301	−	0.0734232i	$-0.976608\pi$
$43$	−2.83871	−	5.89463i	−0.432898	−	0.898923i	0.564402	−	0.825500i	$-0.309107\pi$
$44$	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	−0.999516	−	0.0310976i	$-0.990100\pi$
$47$	−5.11970	+	6.41990i	−0.746785	+	0.936439i	0.252731	+	0.967537i	$0.418671\pi$
$48$	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	−0.969957	−	0.243277i	$-0.921777\pi$
$53$	−1.46774	−	6.43060i	−0.201610	−	0.883311i	0.768347	−	0.640034i	$-0.221080\pi$
$54$	−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	−0.606810	−	0.794847i	$-0.707551\pi$
$59$	−2.79374	+	1.34539i	−0.363714	+	0.175155i	0.243096	+	0.970002i	$0.421837\pi$
$60$	7.13713	+	0.416620i	0.921399	+	0.0537854i
$61$	12.1442	+	2.77184i	1.55491	+	0.354898i	0.911721	−	0.410811i	$-0.134754\pi$
$61$	12.1442	+	2.77184i	1.55491	+	0.354898i	0.643188	+	0.765708i	$0.277611\pi$
$62$	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	$-0.945511\pi$
$67$		−	2.78869i		−	0.340693i	0.985384	−	0.170347i	$-0.0544887\pi$
$68$	−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	0.716001	−	0.698100i	$-0.245971\pi$
$71$	14.0210	−	3.20021i	1.66399	−	0.379795i	0.947988	+	0.318305i	$0.103114\pi$
$72$	−2.57790	−	1.16380i	−0.303809	−	0.137155i
$73$	8.77011	−	6.99393i	1.02646	−	0.818577i	0.0428888	−	0.999080i	$-0.486344\pi$
$73$	8.77011	−	6.99393i	1.02646	−	0.818577i	0.983574	+	0.180503i	$0.0577725\pi$
$74$	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	$-0.893345\pi$
$79$		−	5.84545i		−	0.657664i	0.944388	−	0.328832i	$-0.106655\pi$
$80$	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	−0.943947	−	0.330097i	$-0.892919\pi$
$83$	−9.61807	−	12.0607i	−1.05572	−	1.32383i	−0.111773	−	0.993734i	$-0.535653\pi$
$84$	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	−0.122907	−	0.992418i	$-0.539222\pi$
$89$	7.71020	−	6.14868i	0.817279	−	0.651758i	0.940187	+	0.340660i	$0.110650\pi$
$90$	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	$0.289214\pi$
$97$			15.5344i			1.57728i	−0.614857	+	0.788639i	$0.710786\pi$
$98$	−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	−0.980287	−	0.197577i	$-0.936693\pi$
$101$	−2.15686	+	4.47877i	−0.214616	+	0.445655i	0.765671	+	0.643232i	$0.222407\pi$
$102$	−5.62309	+	3.30862i	−0.556769	+	0.327602i
$103$	15.2981	+	7.36718i	1.50737	+	0.725910i	0.991420	−	0.130711i	$-0.0417261\pi$
$103$	15.2981	+	7.36718i	1.50737	+	0.725910i	0.515946	+	0.856621i	$0.327440\pi$
$104$	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	0.175687	−	0.984446i	$-0.443785\pi$
$107$	12.1496	−	9.68897i	1.17454	−	0.936668i	0.998858	+	0.0477781i	$0.0152140\pi$
$108$	−0.971300	+	1.74831i	−0.0934634	+	0.168231i
$109$	0.397900	−	0.498951i	0.0381119	−	0.0477909i	−0.762410	−	0.647094i	$-0.775984\pi$
$109$	0.397900	−	0.498951i	0.0381119	−	0.0477909i	0.800522	+	0.599303i	$0.204556\pi$
$110$	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	0.792917	−	0.609330i	$-0.208561\pi$
$113$	0.238370	+	0.298906i	0.0224239	+	0.0281187i	−0.770493	+	0.637448i	$0.779990\pi$
$114$	−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	0.773584	−	0.633693i	$-0.218462\pi$
$127$	13.4738	+	3.07532i	1.19561	+	0.272890i	0.422026	+	0.906584i	$0.361319\pi$
$128$	−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	−0.886913	−	0.461936i	$-0.847155\pi$
$131$	−12.3467	+	5.94587i	−1.07874	+	0.519493i	−0.191825	+	0.981429i	$0.561441\pi$
$132$	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	−0.693473	+	0.720483i	$0.743920\pi$
$137$	−19.7709	+	9.52117i	−1.68914	+	0.813448i	−0.995669	+	0.0929656i	$0.970365\pi$
$138$	0.397042	−	0.592797i	0.0337984	−	0.0504623i
$139$	13.3701	+	6.43868i	1.13403	+	0.546122i	0.904200	−	0.427108i	$-0.140468\pi$
$139$	13.3701	+	6.43868i	1.13403	+	0.546122i	0.229833	+	0.973230i	$0.426182\pi$
$140$	−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	0.159230	+	0.987241i	$0.449099\pi$
$149$	−10.2375	+	12.8375i	−0.838691	+	1.05169i	−0.997921	+	0.0644436i	$0.979473\pi$
$150$	10.8901	+	1.54969i	0.889174	+	0.126532i
$151$	−9.81701	+	2.24067i	−0.798897	+	0.182343i	−0.602435	−	0.798168i	$-0.705803\pi$
$151$	−9.81701	+	2.24067i	−0.798897	+	0.182343i	−0.196463	+	0.980511i	$0.562945\pi$
$152$	−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	−0.925643	−	0.378398i	$-0.876475\pi$
$157$	−8.07378	−	16.7654i	−0.644358	−	1.33802i	0.281285	−	0.959624i	$-0.409239\pi$
$158$	−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	0.731160	−	0.682206i	$-0.238979\pi$
$163$	−3.29496	−	6.84206i	−0.258081	−	0.535912i	−0.989241	+	0.146295i	$0.953265\pi$
$164$	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	0.881160	+	0.472818i	$0.156763\pi$
$167$	−1.52342	+	6.67455i	−0.117886	+	0.516492i	−0.999046	+	0.0436737i	$0.986094\pi$
$168$	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	−0.0238198	−	0.999716i	$-0.507583\pi$
$173$	5.10966	−	1.16625i	0.388480	−	0.0886680i	0.412300	+	0.911048i	$0.364726\pi$
$174$	−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	−0.487314	−	0.873227i	$-0.662023\pi$
$179$	−17.4630	−	3.98582i	−1.30525	−	0.297914i	−0.817934	+	0.575312i	$0.804881\pi$
$180$	−6.24957	−	3.47205i	−0.465815	−	0.258791i
$181$	15.3171	−	12.2150i	1.13851	−	0.907931i	0.141873	−	0.989885i	$-0.454688\pi$
$181$	15.3171	−	12.2150i	1.13851	−	0.907931i	0.996636	+	0.0819543i	$0.0261162\pi$
$182$	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	0.584935	+	0.811080i	$0.301120\pi$
$191$	−5.72013	+	11.8780i	−0.413894	+	0.859460i	−0.998829	+	0.0483799i	$0.984594\pi$
$192$	−7.02726	+	3.82330i	−0.507149	+	0.275923i
$193$	−12.0547	−	5.80524i	−0.867716	−	0.417870i	−0.0535933	−	0.998563i	$-0.517067\pi$
$193$	−12.0547	−	5.80524i	−0.867716	−	0.417870i	−0.814123	+	0.580693i	$0.802782\pi$
$194$	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	−0.000791843	−	1.00000i	$-0.500252\pi$
$199$	−11.0472	−	5.32006i	−0.783117	−	0.377129i	−0.782325	+	0.622871i	$0.785966\pi$
$200$	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	−0.668783	−	0.743458i	$-0.733185\pi$
$211$	−1.34776	+	1.07481i	−0.0927839	+	0.0739927i	0.575999	+	0.817450i	$0.304613\pi$
$212$	−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	0.959765	+	0.280803i	$0.0906007\pi$
$223$	3.23875	+	14.1899i	0.216882	+	0.950224i	−0.742883	+	0.669421i	$0.766542\pi$
$224$	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	0.909500	−	0.415705i	$-0.136465\pi$
$229$	0.263684	+	0.547545i	0.0174247	+	0.0361828i	−0.892075	+	0.451888i	$0.850751\pi$
$230$	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	−0.919232	−	0.393716i	$-0.871189\pi$
$233$	1.21801	−	5.33645i	0.0797944	−	0.349602i	0.999027	+	0.0441139i	$0.0140464\pi$
$234$	−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	0.999885	−	0.0151488i	$-0.00482220\pi$
$239$	5.63694	+	11.7052i	0.364623	+	0.757148i	−0.635262	+	0.772297i	$0.719108\pi$
$240$	−10.0659	−	10.1551i	−0.649749	−	0.655512i
$241$	−8.13111	+	1.85587i	−0.523771	+	0.119547i	−0.476228	−	0.879322i	$-0.657996\pi$
$241$	−8.13111	+	1.85587i	−0.523771	+	0.119547i	−0.0475428	+	0.998869i	$0.515139\pi$
$242$	−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	−0.539775	−	0.841809i	$-0.681491\pi$
$251$	−3.45641	+	1.66452i	−0.218167	+	0.105063i	0.321609	+	0.946873i	$0.395776\pi$
$252$	−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	0.918823	−	0.394670i	$-0.129141\pi$
$257$	25.2558	+	5.76447i	1.57541	+	0.359578i	0.656590	+	0.754248i	$0.271998\pi$
$258$	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	$0.142530\pi$
$263$			14.0427i			0.865913i	−0.901415	+	0.432956i	$0.857470\pi$
$264$	−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	−0.973323	−	0.229440i	$-0.926311\pi$
$269$	−15.8472	+	12.6377i	−0.966221	+	0.770535i	0.00710236	+	0.999975i	$0.497739\pi$
$270$	−2.81321	+	4.20023i	−0.171207	+	0.255618i
$271$	6.21536	+	27.2313i	0.377556	+	1.65418i	0.704922	+	0.709284i	$0.250982\pi$
$271$	6.21536	+	27.2313i	0.377556	+	1.65418i	−0.327366	+	0.944898i	$0.606161\pi$
$272$	−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	−0.797567	−	0.603231i	$-0.793880\pi$
$277$	3.04154	−	13.3258i	0.182748	−	0.800672i	0.980315	−	0.197441i	$-0.0632631\pi$
$278$	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	−0.328071	−	0.944653i	$-0.606398\pi$
$281$	11.1625	−	13.9974i	0.665901	−	0.835013i	0.993971	+	0.109640i	$0.0349698\pi$
$282$	−0.963274	−	11.5726i	−0.0573621	−	0.689138i
$283$	2.48051	−	3.11046i	0.147451	−	0.184898i	−0.702621	−	0.711564i	$-0.747987\pi$
$283$	2.48051	−	3.11046i	0.147451	−	0.184898i	0.850072	+	0.526667i	$0.176558\pi$
$284$	−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	$-0.862517\pi$
$293$		−	14.3309i		−	0.837222i	0.908166	−	0.418611i	$-0.137483\pi$
$294$	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	−0.379401	−	0.925232i	$-0.623870\pi$
$307$	10.6365	−	13.3378i	0.607059	−	0.761228i	0.986460	+	0.164005i	$0.0524412\pi$
$308$	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	0.679448	+	0.733724i	$0.262219\pi$
$311$	−4.42756	+	19.3984i	−0.251064	+	1.09998i	−0.930512	+	0.366261i	$0.880638\pi$
$312$	−3.55783	−	2.69604i	−0.201423	−	0.152633i
$313$		−	6.36306i		−	0.359661i	−0.983698	−	0.179831i	$-0.942445\pi$
$313$		−	6.36306i		−	0.359661i	0.983698	−	0.179831i	$-0.0575550\pi$
$314$	−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	0.964280	+	0.264883i	$0.0853334\pi$
$317$	3.74646	+	16.4143i	0.210422	+	0.921920i	−0.753858	+	0.657037i	$0.771809\pi$
$318$	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	−0.177413	−	0.984137i	$-0.556773\pi$
$331$	−13.9044	−	3.17360i	−0.764257	−	0.174437i	−0.586844	+	0.809700i	$0.699630\pi$
$332$	−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	−0.885725	−	0.464210i	$-0.846338\pi$
$337$	−19.7350	+	9.50386i	−1.07503	+	0.517708i	−0.189307	+	0.981918i	$0.560624\pi$
$338$	−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	−0.262542	−	0.964921i	$-0.584561\pi$
$347$	−1.49806	+	0.341922i	−0.0804200	+	0.0183553i	0.182122	+	0.983276i	$0.441704\pi$
$348$	−9.81610	+	1.64554i	−0.526198	+	0.0882100i
$349$	1.55839	+	3.23603i	0.0834187	+	0.173221i	0.938506	−	0.345264i	$-0.112211\pi$
$349$	1.55839	+	3.23603i	0.0834187	+	0.173221i	−0.855087	+	0.518485i	$0.826496\pi$
$350$	−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	0.970010	−	0.243064i	$-0.0781524\pi$
$353$	3.29141	+	6.83468i	0.175184	+	0.363773i	−0.794826	+	0.606837i	$0.792438\pi$
$354$	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	0.989919	−	0.141631i	$-0.0452347\pi$
$359$	4.96387	+	10.3076i	0.261983	+	0.544013i	−0.727936	+	0.685645i	$0.759520\pi$
$360$	−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	0.914655	−	0.404236i	$-0.132463\pi$
$367$	6.07329	+	7.61567i	0.317023	+	0.397535i	−0.597631	+	0.801771i	$0.703891\pi$
$368$	−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	0.930359	+	0.366649i	$0.119495\pi$
$379$	29.1014	+	23.2076i	1.49484	+	1.19210i	0.564481	+	0.825446i	$0.309077\pi$
$380$	−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	−0.996618	−	0.0821785i	$-0.973812\pi$
$383$	−16.7320	−	20.9813i	−0.854967	−	1.07210i	0.141650	−	0.989917i	$-0.454759\pi$
$384$	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	0.650731	−	0.759308i	$-0.274462\pi$
$389$	9.12793	+	4.39578i	0.462805	+	0.222875i	−0.187927	+	0.982183i	$0.560177\pi$
$390$	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	−0.996893	−	0.0787678i	$-0.974901\pi$
$397$	−6.25157	+	12.9815i	−0.313757	+	0.651524i	0.683136	+	0.730291i	$0.260616\pi$
$398$	−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	0.994829	+	0.101568i	$0.0323859\pi$
$401$	17.4714	+	21.9084i	0.872480	+	1.09405i	−0.122349	+	0.992487i	$0.539043\pi$
$402$	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	−0.149096	−	0.988823i	$-0.547636\pi$
$409$	−14.4086	−	3.28868i	−0.712461	−	0.162615i	−0.563365	+	0.826208i	$0.690493\pi$
$410$	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	−0.819071	−	0.573692i	$-0.805511\pi$
$419$	−6.75553	−	29.5979i	−0.330029	−	1.44595i	0.489042	−	0.872260i	$-0.337346\pi$
$420$	8.57419	−	16.8603i	0.418377	−	0.822697i
$421$	5.01671	−	21.9796i	0.244499	−	1.07122i	−0.692370	−	0.721543i	$-0.743433\pi$
$421$	5.01671	−	21.9796i	0.244499	−	1.07122i	0.936869	−	0.349679i	$-0.113710\pi$
$422$	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	0.814352	−	0.580371i	$-0.197092\pi$
$431$	−3.05471	−	6.34317i	−0.147140	−	0.305540i	−0.961493	+	0.274831i	$0.911378\pi$
$432$	3.78133	−	1.30443i	0.181929	−	0.0627596i
$433$	−0.874598	+	1.81612i	−0.0420305	+	0.0872772i	−0.920927	−	0.389736i	$-0.872566\pi$
$433$	−0.874598	+	1.81612i	−0.0420305	+	0.0872772i	0.878896	+	0.477013i	$0.158281\pi$
$434$	−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	−0.556025	−	0.831165i	$-0.687674\pi$
$439$	7.92057	−	9.93208i	0.378028	−	0.474032i	0.934054	+	0.357133i	$0.116246\pi$
$440$	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	0.999839	+	0.0179277i	$0.00570686\pi$
$443$	26.0948	+	20.8099i	1.23980	+	0.988710i	0.239963	+	0.970782i	$0.422865\pi$
$444$	−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	0.957506	−	0.288412i	$-0.0931274\pi$
$449$	28.1613	+	13.5617i	1.32901	+	0.640018i	0.371505	+	0.928431i	$0.378842\pi$
$450$	−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	−0.337053	−	0.941486i	$-0.609430\pi$
$457$	4.03781	−	1.94451i	0.188881	−	0.0909601i	0.525934	+	0.850525i	$0.323716\pi$
$458$	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	0.276679	−	0.960962i	$-0.410766\pi$
$461$	2.34058	+	0.534221i	0.109012	+	0.0248812i	−0.167667	+	0.985844i	$0.553623\pi$
$462$	0.848661	−	2.48491i	0.0394833	−	0.115608i
$463$	1.28563	−	0.293437i	0.0597484	−	0.0136372i	−0.192542	−	0.981289i	$-0.561673\pi$
$463$	1.28563	−	0.293437i	0.0597484	−	0.0136372i	0.252291	+	0.967652i	$0.418816\pi$
$464$	−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	0.883769	+	0.467923i	$0.154998\pi$
$467$	6.27873	+	27.5089i	0.290545	+	1.27296i	−0.593224	+	0.805037i	$0.702145\pi$
$468$	−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	−0.934089	−	0.357040i	$-0.883786\pi$
$479$	−8.27614	+	10.3780i	−0.378147	+	0.474181i	0.555942	+	0.831221i	$0.312357\pi$
$480$	−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	−0.482874	−	0.875690i	$-0.660407\pi$
$487$	11.0966	−	23.0423i	0.502835	−	1.04415i	0.985709	−	0.168457i	$-0.0538785\pi$
$488$	−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	$0.130650\pi$
$491$			17.6835i			0.798044i	−0.916941	+	0.399022i	$0.869350\pi$
$492$	−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	−0.947855	−	0.318703i	$-0.896753\pi$
$499$	−18.9442	+	15.1075i	−0.848059	+	0.676305i	0.0997951	+	0.995008i	$0.468181\pi$
$500$	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	−0.994885	−	0.101009i	$-0.967793\pi$
$503$	−15.1392	+	18.9840i	−0.675026	+	0.846455i	0.319860	+	0.947465i	$0.396364\pi$
$504$	−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	$0.154185\pi$
$509$			21.0118i			0.931331i	−0.884961	+	0.465665i	$0.845815\pi$
$510$	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	$0.0247895\pi$
$521$			3.55162i			0.155599i	−0.996969	+	0.0777997i	$0.975211\pi$
$522$	0.583797	+	7.01363i	0.0255521	+	0.306978i
$523$	−16.3670	+	7.88195i	−0.715680	+	0.344653i	−0.756034	−	0.654532i	$-0.772866\pi$
$523$	−16.3670	+	7.88195i	−0.715680	+	0.344653i	0.0403541	+	0.999185i	$0.487151\pi$
$524$	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	−0.721280	−	0.692644i	$-0.756446\pi$
$541$	2.66316	−	3.33949i	0.114498	−	0.143576i	0.835778	+	0.549068i	$0.185017\pi$
$542$	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	−0.719572	−	0.694418i	$-0.755662\pi$
$547$	6.36134	−	13.2095i	0.271991	−	0.564795i	0.991563	+	0.129622i	$0.0413764\pi$
$548$	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	0.258029	−	0.966137i	$-0.416927\pi$
$563$	−17.5893	−	22.0563i	−0.741302	−	0.929563i	−0.999331	+	0.0365740i	$0.988356\pi$
$564$	−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	0.436879	−	0.899520i	$-0.356084\pi$
$571$	10.5190	+	2.40089i	0.440206	+	0.100474i	0.00332708	+	0.999994i	$0.498941\pi$
$572$	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	0.850262	−	0.526359i	$-0.176443\pi$
$577$	12.6422	+	10.0818i	0.526302	+	0.419711i	−0.323961	+	0.946070i	$0.605015\pi$
$578$	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	−0.578870	−	0.815420i	$-0.696506\pi$
$593$	10.2172	−	21.2162i	0.419570	−	0.871246i	0.998440	−	0.0558267i	$-0.0177794\pi$
$594$	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	−0.981932	−	0.189235i	$-0.939399\pi$
$599$	−33.8953	−	27.0306i	−1.38492	−	1.10444i	−0.402991	−	0.915204i	$-0.632029\pi$
$600$	−14.1378	−	16.8555i	−0.577174	−	0.688121i
$601$	6.83001	+	5.44675i	0.278602	+	0.222177i	0.752814	−	0.658233i	$-0.228696\pi$
$601$	6.83001	+	5.44675i	0.278602	+	0.222177i	−0.474213	+	0.880410i	$0.657267\pi$
$602$	−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	0.961247	+	0.275687i	$0.0889054\pi$
$613$	25.1581	+	31.5472i	1.01612	+	1.27418i	0.0548775	+	0.998493i	$0.482523\pi$
$614$	−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	0.608875	+	0.793266i	$0.291621\pi$
$617$	−7.05162	+	30.8952i	−0.283888	+	1.24379i	−0.892763	+	0.450527i	$0.851236\pi$
$618$	−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	0.939319	−	0.343046i	$-0.111459\pi$
$631$	2.14670	+	4.45767i	0.0854589	+	0.177457i	−0.853860	+	0.520503i	$0.825744\pi$
$632$	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	0.963974	−	0.265995i	$-0.0857005\pi$
$641$	−0.505030	−	2.21268i	−0.0199475	−	0.0873956i	−0.983922	+	0.178600i	$0.942843\pi$
$642$	−3.09615	+	21.7575i	−0.122195	+	0.858702i
$643$	−1.37211	+	0.660775i	−0.0541109	+	0.0260584i	−0.460743	−	0.887533i	$-0.652417\pi$
$643$	−1.37211	+	0.660775i	−0.0541109	+	0.0260584i	0.406633	+	0.913592i	$0.366703\pi$
$644$	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	0.213440	−	0.976956i	$-0.431533\pi$
$647$	28.2426	−	13.6009i	1.11033	−	0.534708i	0.896893	+	0.442248i	$0.145819\pi$
$648$	−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	−0.598900	−	0.800824i	$-0.704395\pi$
$653$	−8.84670	+	4.26035i	−0.346198	+	0.166720i	0.252702	+	0.967544i	$0.418681\pi$
$654$	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	−0.618865	−	0.785497i	$-0.712407\pi$
$659$	−21.4514	+	4.89615i	−0.835629	+	0.190727i	−0.216764	+	0.976224i	$0.569550\pi$
$660$	−3.73368	−	3.35147i	−0.145333	−	0.130456i
$661$	12.7254	−	10.1482i	0.494961	−	0.394718i	−0.343949	−	0.938988i	$-0.611765\pi$
$661$	12.7254	−	10.1482i	0.494961	−	0.394718i	0.838910	+	0.544270i	$0.183193\pi$
$662$	−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	−0.887812	−	0.460206i	$-0.847776\pi$
$673$	−6.26733	+	7.85898i	−0.241588	+	0.302941i	0.646224	+	0.763147i	$0.276347\pi$
$674$	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	−0.803037	−	0.595930i	$-0.796784\pi$
$677$	−10.4270	+	8.31522i	−0.400741	+	0.319580i	0.402296	+	0.915510i	$0.368212\pi$
$678$	−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	−0.167704	−	0.985837i	$-0.553635\pi$
$683$	18.4930	−	38.4012i	0.707616	−	1.46938i	0.875321	−	0.483543i	$-0.160650\pi$
$684$	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	−0.0441736	−	0.999024i	$-0.514065\pi$
$691$	−22.4170	−	10.7955i	−0.852784	−	0.410679i	−0.808610	+	0.588345i	$0.799780\pi$
$692$	−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	0.596762	−	0.802418i	$-0.296454\pi$
$701$	−8.42822	−	10.5687i	−0.318330	−	0.399173i	−0.915092	+	0.403245i	$0.867882\pi$
$702$	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	−0.969889	−	0.243548i	$-0.921689\pi$
$709$	−5.37123	−	23.5329i	−0.201721	−	0.883797i	0.768168	−	0.640248i	$-0.221169\pi$
$710$	−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	−0.706265	−	0.707947i	$-0.749621\pi$
$719$	−15.9040	+	7.65896i	−0.593119	+	0.285631i	0.113146	+	0.993578i	$0.463907\pi$
$720$	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	0.728364	−	0.685191i	$-0.240281\pi$
$727$	17.4393	+	8.39831i	0.646787	+	0.311476i	−0.0815765	+	0.996667i	$0.525995\pi$
$728$	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	0.999915	−	0.0130623i	$-0.00415799\pi$
$733$	32.7509	+	26.1180i	1.20968	+	0.964689i	0.209767	+	0.977751i	$0.432729\pi$
$734$	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	−0.866707	−	0.498818i	$-0.833768\pi$
$739$	−38.9053	+	8.87987i	−1.43115	+	0.326651i	−0.564447	+	0.825470i	$0.690910\pi$
$740$	−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	−0.953475	−	0.301471i	$-0.902522\pi$
$743$	−3.36074	+	6.97866i	−0.123294	+	0.256022i	0.830182	+	0.557493i	$0.188237\pi$
$744$	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	0.804063	−	0.594544i	$-0.202667\pi$
$751$	−4.44211	−	9.22415i	−0.162095	−	0.336594i	−0.966158	+	0.257950i	$0.916953\pi$
$752$	−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	0.997210	+	0.0746525i	$0.0237848\pi$
$757$	3.60828	+	15.8089i	0.131145	+	0.574585i	−0.866064	+	0.499933i	$0.833358\pi$
$758$	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	0.489098	−	0.872229i	$-0.337326\pi$
$761$	36.0885	−	8.23696i	1.30821	−	0.298589i	0.819108	+	0.573640i	$0.194469\pi$
$762$	−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	−0.477595	−	0.878580i	$-0.658491\pi$
$769$	7.56173	−	6.03027i	0.272683	−	0.217457i	0.750278	+	0.661123i	$0.229920\pi$
$770$	8.88265	+	3.03366i	0.320109	+	0.109325i
$771$	−20.2536	−	16.1517i	−0.729414	−	0.581689i
$772$	10.1858	+	24.7450i

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

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