LMFDB - Embedded newform 588.2.x.b.55.15

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			55.15
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.15

$q$-expansion

$f(q)$	$=$	$q+(0.148148 - 1.40643i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.95610 - 0.416719i) q^{4} +(-1.14386 + 2.37526i) q^{5} +(0.743705 - 1.20287i) q^{6} +(1.90517 - 1.83585i) q^{7} +(-0.875880 + 2.68939i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(0.148148 - 1.40643i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.95610 - 0.416719i) q^{4} +(-1.14386 + 2.37526i) q^{5} +(0.743705 - 1.20287i) q^{6} +(1.90517 - 1.83585i) q^{7} +(-0.875880 + 2.68939i) q^{8} +(0.623490 + 0.781831i) q^{9} +(3.17118 + 1.96066i) q^{10} +(-1.71931 - 1.37111i) q^{11} +(-1.58158 - 1.22417i) q^{12} +(4.11444 + 3.28115i) q^{13} +(-2.29975 - 2.95146i) q^{14} +(-2.06117 + 1.64373i) q^{15} +(3.65269 + 1.63029i) q^{16} +(5.43764 + 1.24111i) q^{17} +(1.19196 - 0.761070i) q^{18} +0.503306 q^{19} +(3.22734 - 4.16959i) q^{20} +(2.51304 - 0.827423i) q^{21} +(-2.18308 + 2.21497i) q^{22} +(0.636689 - 0.145320i) q^{23} +(-1.95602 + 2.04303i) q^{24} +(-1.21598 - 1.52480i) q^{25} +(5.22427 - 5.30058i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-4.49174 + 2.79720i) q^{28} +(-0.628356 + 2.75301i) q^{29} +(2.00644 + 3.14242i) q^{30} +4.81514 q^{31} +(2.83403 - 4.89574i) q^{32} +(-0.954147 - 1.98131i) q^{33} +(2.55110 - 7.46381i) q^{34} +(2.18137 + 6.62523i) q^{35} +(-0.893807 - 1.78916i) q^{36} +(1.54710 - 6.77828i) q^{37} +(0.0745635 - 0.707865i) q^{38} +(2.28334 + 4.74141i) q^{39} +(-5.38612 - 5.15674i) q^{40} +(-4.33461 + 9.00090i) q^{41} +(-0.791414 - 3.65700i) q^{42} +(1.69645 + 3.52271i) q^{43} +(2.79179 + 3.39850i) q^{44} +(-2.57024 + 0.586641i) q^{45} +(-0.110059 - 0.916989i) q^{46} +(7.09061 - 8.89135i) q^{47} +(2.58360 + 3.05369i) q^{48} +(0.259311 - 6.99520i) q^{49} +(-2.32467 + 1.48430i) q^{50} +(4.36065 + 3.47750i) q^{51} +(-6.68095 - 8.13285i) q^{52} +(-0.361207 - 1.58255i) q^{53} +(1.40414 - 0.168527i) q^{54} +(5.22340 - 2.51546i) q^{55} +(3.26863 + 6.73172i) q^{56} +(0.453463 + 0.218376i) q^{57} +(3.77883 + 1.29159i) q^{58} +(-13.4713 + 6.48743i) q^{59} +(4.71684 - 2.35638i) q^{60} +(-9.44503 - 2.15577i) q^{61} +(0.713351 - 6.77216i) q^{62} +(2.62318 + 0.344885i) q^{63} +(-6.46567 - 4.71117i) q^{64} +(-12.5000 + 6.01966i) q^{65} +(-2.92793 + 1.04842i) q^{66} +4.43686i q^{67} +(-10.1194 - 4.69370i) q^{68} +(0.636689 + 0.145320i) q^{69} +(9.64110 - 2.08644i) q^{70} +(-15.0105 + 3.42604i) q^{71} +(-2.64875 + 0.992019i) q^{72} +(3.33947 - 2.66314i) q^{73} +(-9.30400 - 3.18008i) q^{74} +(-0.433980 - 1.90139i) q^{75} +(-0.984518 - 0.209737i) q^{76} +(-5.79272 + 0.544216i) q^{77} +(7.00674 - 2.50894i) q^{78} -6.44761i q^{79} +(-8.05055 + 6.81125i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(12.0170 + 7.42979i) q^{82} +(1.49505 + 1.87473i) q^{83} +(-5.26057 + 0.571294i) q^{84} +(-9.16787 + 11.4961i) q^{85} +(5.20578 - 1.86406i) q^{86} +(-1.76061 + 2.20774i) q^{87} +(5.19336 - 3.42299i) q^{88} +(4.74517 - 3.78415i) q^{89} +(0.444296 + 3.70178i) q^{90} +(13.8624 - 1.30235i) q^{91} +(-1.30599 + 0.0189408i) q^{92} +(4.33829 + 2.08921i) q^{93} +(-11.4546 - 11.2897i) q^{94} +(-0.575714 + 1.19548i) q^{95} +(4.67756 - 3.18127i) q^{96} -12.9866i q^{97} +(-9.79985 - 1.40102i) q^{98} -2.19908i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	0.148148	−	1.40643i	0.104756	−	0.994498i
$2$	0.148148	−	1.40643i	0.104756	−	0.994498i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	−1.95610	−	0.416719i	−0.978052	−	0.208360i
$5$	−1.14386	+	2.37526i	−0.511552	+	1.06225i	0.471996	+	0.881601i	$0.343534\pi$
$5$	−1.14386	+	2.37526i	−0.511552	+	1.06225i	−0.983548	+	0.180648i	$0.942181\pi$
$6$	0.743705	−	1.20287i	0.303616	−	0.491071i
$7$	1.90517	−	1.83585i	0.720085	−	0.693886i
$7$	1.90517	−	1.83585i	0.720085	−	0.693886i
$8$	−0.875880	+	2.68939i	−0.309670	+	0.950844i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	3.17118	+	1.96066i	1.00282	+	0.620014i
$11$	−1.71931	−	1.37111i	−0.518393	−	0.413404i	0.329033	−	0.944318i	$-0.393277\pi$
$11$	−1.71931	−	1.37111i	−0.518393	−	0.413404i	−0.847426	+	0.530914i	$0.821849\pi$
$12$	−1.58158	−	1.22417i	−0.456563	−	0.353388i
$13$	4.11444	+	3.28115i	1.14114	+	0.910028i	0.996834	−	0.0795048i	$-0.0253339\pi$
$13$	4.11444	+	3.28115i	1.14114	+	0.910028i	0.144305	+	0.989533i	$0.453905\pi$
$14$	−2.29975	−	2.95146i	−0.614635	−	0.788812i
$15$	−2.06117	+	1.64373i	−0.532193	+	0.424409i
$16$	3.65269	+	1.63029i	0.913173	+	0.407573i
$17$	5.43764	+	1.24111i	1.31882	+	0.301012i	0.823311	−	0.567590i	$-0.192124\pi$
$17$	5.43764	+	1.24111i	1.31882	+	0.301012i	0.495510	+	0.868602i	$0.334981\pi$
$18$	1.19196	−	0.761070i	0.280948	−	0.179386i
$19$	0.503306			0.115466			0.0577331	−	0.998332i	$-0.481613\pi$
$19$	0.503306			0.115466			0.0577331	+	0.998332i	$0.481613\pi$
$20$	3.22734	−	4.16959i	0.721654	−	0.932348i
$21$	2.51304	−	0.827423i	0.548390	−	0.180559i
$22$	−2.18308	+	2.21497i	−0.465435	+	0.472234i
$23$	0.636689	−	0.145320i	0.132759	−	0.0303013i	−0.155625	−	0.987816i	$-0.549739\pi$
$23$	0.636689	−	0.145320i	0.132759	−	0.0303013i	0.288384	+	0.957515i	$0.406882\pi$
$24$	−1.95602	+	2.04303i	−0.399272	+	0.417032i
$25$	−1.21598	−	1.52480i	−0.243197	−	0.304959i
$26$	5.22427	−	5.30058i	1.02456	−	1.03953i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	−4.49174	+	2.79720i	−0.848858	+	0.528620i
$29$	−0.628356	+	2.75301i	−0.116683	+	0.511220i	0.882482	+	0.470347i	$0.155871\pi$
$29$	−0.628356	+	2.75301i	−0.116683	+	0.511220i	−0.999164	+	0.0408735i	$0.986986\pi$
$30$	2.00644	+	3.14242i	0.366324	+	0.573724i
$31$	4.81514			0.864824			0.432412	−	0.901676i	$-0.357663\pi$
$31$	4.81514			0.864824			0.432412	+	0.901676i	$0.357663\pi$
$32$	2.83403	−	4.89574i	0.500991	−	0.865452i
$33$	−0.954147	−	1.98131i	−0.166096	−	0.344901i
$34$	2.55110	−	7.46381i	0.437511	−	1.28003i
$35$	2.18137	+	6.62523i	0.368719	+	1.11987i
$36$	−0.893807	−	1.78916i	−0.148968	−	0.298194i
$37$	1.54710	−	6.77828i	0.254341	−	1.11434i	−0.672857	−	0.739772i	$-0.734933\pi$
$37$	1.54710	−	6.77828i	0.254341	−	1.11434i	0.927199	−	0.374570i	$-0.122210\pi$
$38$	0.0745635	−	0.707865i	0.0120958	−	0.114831i
$39$	2.28334	+	4.74141i	0.365627	+	0.759232i
$40$	−5.38612	−	5.15674i	−0.851620	−	0.815353i
$41$	−4.33461	+	9.00090i	−0.676952	+	1.40571i	0.225211	+	0.974310i	$0.427693\pi$
$41$	−4.33461	+	9.00090i	−0.676952	+	1.40571i	−0.902163	+	0.431395i	$0.858022\pi$
$42$	−0.791414	−	3.65700i	−0.122118	−	0.564288i
$43$	1.69645	+	3.52271i	0.258706	+	0.537208i	0.989351	−	0.145549i	$-0.0464949\pi$
$43$	1.69645	+	3.52271i	0.258706	+	0.537208i	−0.730645	+	0.682757i	$0.760781\pi$
$44$	2.79179	+	3.39850i	0.420878	+	0.512343i
$45$	−2.57024	+	0.586641i	−0.383149	+	0.0874512i
$46$	−0.110059	−	0.916989i	−0.0162273	−	0.135203i
$47$	7.09061	−	8.89135i	1.03427	−	1.29694i	0.0803871	−	0.996764i	$-0.474384\pi$
$47$	7.09061	−	8.89135i	1.03427	−	1.29694i	0.953885	−	0.300172i	$-0.0970442\pi$
$48$	2.58360	+	3.05369i	0.372911	+	0.440762i
$49$	0.259311	−	6.99520i	0.0370444	−	0.999314i
$50$	−2.32467	+	1.48430i	−0.328758	+	0.209912i
$51$	4.36065	+	3.47750i	0.610613	+	0.486948i
$52$	−6.68095	−	8.13285i	−0.926481	−	1.12782i
$53$	−0.361207	−	1.58255i	−0.0496156	−	0.217380i	0.944042	−	0.329824i	$-0.106989\pi$
$53$	−0.361207	−	1.58255i	−0.0496156	−	0.217380i	−0.993658	+	0.112444i	$0.964132\pi$
$54$	1.40414	−	0.168527i	0.191079	−	0.0229337i
$55$	5.22340	−	2.51546i	0.704323	−	0.339184i
$56$	3.26863	+	6.73172i	0.436789	+	0.899564i
$57$	0.453463	+	0.218376i	0.0600626	+	0.0289246i
$58$	3.77883	+	1.29159i	0.496184	+	0.169594i
$59$	−13.4713	+	6.48743i	−1.75381	+	0.844592i	−0.777301	+	0.629128i	$0.783412\pi$
$59$	−13.4713	+	6.48743i	−1.75381	+	0.844592i	−0.976512	+	0.215463i	$0.930874\pi$
$60$	4.71684	−	2.35638i	0.608942	−	0.304207i
$61$	−9.44503	−	2.15577i	−1.20931	−	0.276018i	−0.430102	−	0.902780i	$-0.641522\pi$
$61$	−9.44503	−	2.15577i	−1.20931	−	0.276018i	−0.779210	+	0.626763i	$0.784380\pi$
$62$	0.713351	−	6.77216i	0.0905956	−	0.860066i
$63$	2.62318	+	0.344885i	0.330489	+	0.0434514i
$64$	−6.46567	−	4.71117i	−0.808209	−	0.588896i
$65$	−12.5000	+	6.01966i	−1.55043	+	0.746647i
$66$	−2.92793	+	1.04842i	−0.360403	+	0.129051i
$67$			4.43686i			0.542049i	0.962573	+	0.271024i	$0.0873624\pi$
$67$			4.43686i			0.542049i	−0.962573	+	0.271024i	$0.912638\pi$
$68$	−10.1194	−	4.69370i	−1.22716	−	0.569195i
$69$	0.636689	+	0.145320i	0.0766483	+	0.0174945i
$70$	9.64110	−	2.08644i	1.15233	−	0.249377i
$71$	−15.0105	+	3.42604i	−1.78142	+	0.406597i	−0.981181	−	0.193089i	$-0.938149\pi$
$71$	−15.0105	+	3.42604i	−1.78142	+	0.406597i	−0.800235	+	0.599686i	$0.795292\pi$
$72$	−2.64875	+	0.992019i	−0.312159	+	0.116911i
$73$	3.33947	−	2.66314i	0.390855	−	0.311697i	−0.408270	−	0.912861i	$-0.633868\pi$
$73$	3.33947	−	2.66314i	0.390855	−	0.311697i	0.799125	+	0.601165i	$0.205296\pi$
$74$	−9.30400	−	3.18008i	−1.08157	−	0.369676i
$75$	−0.433980	−	1.90139i	−0.0501116	−	0.219553i
$76$	−0.984518	−	0.209737i	−0.112932	−	0.0240585i
$77$	−5.79272	+	0.544216i	−0.660142	+	0.0620192i
$78$	7.00674	−	2.50894i	0.793357	−	0.284081i
$79$		−	6.44761i		−	0.725413i	−0.931903	−	0.362706i	$-0.881853\pi$
$79$		−	6.44761i		−	0.725413i	0.931903	−	0.362706i	$-0.118147\pi$
$80$	−8.05055	+	6.81125i	−0.900079	+	0.761521i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	12.0170	+	7.42979i	1.32706	+	0.820483i
$83$	1.49505	+	1.87473i	0.164103	+	0.205779i	0.857083	−	0.515178i	$-0.172274\pi$
$83$	1.49505	+	1.87473i	0.164103	+	0.205779i	−0.692980	+	0.720957i	$0.743703\pi$
$84$	−5.26057	+	0.571294i	−0.573976	+	0.0623333i
$85$	−9.16787	+	11.4961i	−0.994395	+	1.24693i
$86$	5.20578	−	1.86406i	0.561354	−	0.201007i
$87$	−1.76061	+	2.20774i	−0.188758	+	0.236694i
$88$	5.19336	−	3.42299i	0.553614	−	0.364892i
$89$	4.74517	−	3.78415i	0.502987	−	0.401119i	−0.338858	−	0.940837i	$-0.610041\pi$
$89$	4.74517	−	3.78415i	0.502987	−	0.401119i	0.841846	+	0.539718i	$0.181469\pi$
$90$	0.444296	+	3.70178i	0.0468329	+	0.390202i
$91$	13.8624	−	1.30235i	1.45317	−	0.136523i
$92$	−1.30599	+	0.0189408i	−0.136159	+	0.00197472i
$93$	4.33829	+	2.08921i	0.449859	+	0.216641i
$94$	−11.4546	−	11.2897i	−1.18145	−	1.16444i
$95$	−0.575714	+	1.19548i	−0.0590670	+	0.122654i
$96$	4.67756	−	3.18127i	0.477401	−	0.324687i
$97$		−	12.9866i		−	1.31859i	−0.751886	−	0.659294i	$-0.770855\pi$
$97$		−	12.9866i		−	1.31859i	0.751886	−	0.659294i	$-0.229145\pi$
$98$	−9.79985	−	1.40102i	−0.989935	−	0.141525i
$99$		−	2.19908i		−	0.221016i
$100$	1.74318	+	3.48938i	0.174318	+	0.348938i
$101$	3.74398	−	7.77446i	0.372540	−	0.773587i	−0.627447	−	0.778659i	$-0.715900\pi$
$101$	3.74398	−	7.77446i	0.372540	−	0.773587i	0.999987	+	0.00507187i	$0.00161443\pi$
$102$	5.53689	−	5.61777i	0.548234	−	0.556242i
$103$	−4.23303	−	2.03852i	−0.417093	−	0.200861i	0.213554	−	0.976931i	$-0.431496\pi$
$103$	−4.23303	−	2.03852i	−0.417093	−	0.200861i	−0.630647	+	0.776070i	$0.717210\pi$
$104$	−12.4281	+	8.19144i	−1.21867	+	0.803237i
$105$	−0.909233	+	6.91558i	−0.0887321	+	0.674892i
$106$	−2.27927	+	0.273562i	−0.221382	+	0.0265707i
$107$	1.50916	−	1.20352i	0.145896	−	0.116348i	−0.547822	−	0.836595i	$-0.684543\pi$
$107$	1.50916	−	1.20352i	0.145896	−	0.116348i	0.693718	+	0.720247i	$0.255971\pi$
$108$	−0.0290031	−	1.99979i	−0.00279082	−	0.192430i
$109$	−11.2975	+	14.1666i	−1.08210	+	1.35691i	−0.152521	+	0.988300i	$0.548739\pi$
$109$	−11.2975	+	14.1666i	−1.08210	+	1.35691i	−0.929583	+	0.368614i	$0.879832\pi$
$110$	−2.76399	−	7.71902i	−0.263536	−	0.735979i
$111$	4.33487	−	5.43576i	0.411448	−	0.515939i
$112$	9.95195	−	3.59981i	0.940371	−	0.340150i
$113$	5.18025	+	6.49583i	0.487317	+	0.611076i	0.963316	−	0.268370i	$-0.0864848\pi$
$113$	5.18025	+	6.49583i	0.487317	+	0.611076i	−0.475999	+	0.879446i	$0.657913\pi$
$114$	0.374311	−	0.605413i	0.0350574	−	0.0567021i
$115$	−0.383113	+	1.67853i	−0.0357255	+	0.156524i
$116$	2.37636	−	5.12332i	0.220639	−	0.475688i
$117$			5.26256i			0.486524i
$118$	7.12840	+	19.9076i	0.656222	+	1.83264i
$119$	12.6381	−	7.61818i	1.15853	−	0.698357i
$120$	−2.61530	−	6.98302i	−0.238743	−	0.637459i
$121$	−1.37162	−	6.00948i	−0.124693	−	0.546316i
$122$	−4.43120	+	12.9644i	−0.401182	+	1.17374i
$123$	−7.81069	+	6.22882i	−0.704266	+	0.561634i
$124$	−9.41891	−	2.00656i	−0.845843	−	0.180194i
$125$	−7.83850	+	1.78909i	−0.701097	+	0.160021i
$126$	0.873674	−	3.63823i	0.0778331	−	0.324119i
$127$	10.2775	+	2.34578i	0.911983	+	0.208154i	0.652673	−	0.757640i	$-0.273648\pi$
$127$	10.2775	+	2.34578i	0.911983	+	0.208154i	0.259310	+	0.965794i	$0.416505\pi$
$128$	−7.58381	+	8.39558i	−0.670321	+	0.742071i
$129$			3.90991i			0.344249i
$130$	6.61441	+	18.4721i	0.580122	+	1.62011i
$131$	1.24673	−	0.600395i	0.108928	−	0.0524568i	−0.378626	−	0.925550i	$-0.623603\pi$
$131$	1.24673	−	0.600395i	0.108928	−	0.0524568i	0.487554	+	0.873093i	$0.337889\pi$
$132$	1.04076	+	4.27326i	0.0905868	+	0.371939i
$133$	0.958880	−	0.923993i	0.0831455	−	0.0801204i
$134$	6.24014	+	0.657310i	0.539066	+	0.0567829i
$135$	−2.57024	−	0.586641i	−0.221211	−	0.0504900i
$136$	−8.10054	+	13.5369i	−0.694615	+	1.16078i
$137$	10.2658	−	4.94374i	0.877064	−	0.422372i	0.0595130	−	0.998228i	$-0.481045\pi$
$137$	10.2658	−	4.94374i	0.877064	−	0.422372i	0.817551	+	0.575856i	$0.195331\pi$
$138$	0.298707	−	0.873931i	0.0254276	−	0.0743939i
$139$	13.2987	+	6.40433i	1.12798	+	0.543208i	0.902350	−	0.431004i	$-0.141841\pi$
$139$	13.2987	+	6.40433i	1.12798	+	0.543208i	0.225634	+	0.974212i	$0.427555\pi$
$140$	−1.50613	−	13.8687i	−0.127291	−	1.17212i
$141$	10.2462	−	4.93432i	0.862888	−	0.415545i
$142$	2.59473	+	21.6188i	0.217745	+	1.81421i
$143$	−2.57520	−	11.2827i	−0.215349	−	0.943504i
$144$	1.00280	+	3.87226i	0.0835668	+	0.322688i
$145$	−5.82035	−	4.64157i	−0.483354	−	0.385462i
$146$	−3.25079	−	5.09127i	−0.269037	−	0.421357i
$147$	3.26873	−	6.18994i	0.269601	−	0.510538i
$148$	−5.85093	+	12.6143i	−0.480943	+	1.03689i
$149$	2.36583	−	2.96666i	0.193817	−	0.243038i	−0.675422	−	0.737432i	$-0.736038\pi$
$149$	2.36583	−	2.96666i	0.193817	−	0.243038i	0.869238	+	0.494393i	$0.164610\pi$
$150$	−2.73847	+	0.328677i	−0.223595	+	0.0268363i
$151$	−13.3815	+	3.05423i	−1.08897	+	0.248550i	−0.729069	−	0.684441i	$-0.760046\pi$
$151$	−13.3815	+	3.05423i	−1.08897	+	0.248550i	−0.359900	+	0.932991i	$0.617189\pi$
$152$	−0.440835	+	1.35359i	−0.0357564	+	0.109790i
$153$	2.41998	+	5.02513i	0.195644	+	0.406258i
$154$	−0.0927747	+	8.22770i	−0.00747600	+	0.663007i
$155$	−5.50786	+	11.4372i	−0.442402	+	0.918658i
$156$	−2.49062	−	10.2262i	−0.199409	−	0.818751i
$157$	−10.2340	−	21.2511i	−0.816762	−	1.69602i	−0.712719	−	0.701450i	$-0.752536\pi$
$157$	−10.2340	−	21.2511i	−0.816762	−	1.69602i	−0.104043	−	0.994573i	$-0.533178\pi$
$158$	−9.06813	−	0.955198i	−0.721421	−	0.0759915i
$159$	0.361207	−	1.58255i	0.0286456	−	0.125505i
$160$	8.38690	+	12.3316i	0.663043	+	0.974901i
$161$	0.946212	−	1.44572i	0.0745719	−	0.113939i
$162$	1.33820	+	0.457394i	0.105139	+	0.0359363i
$163$	5.44841	+	11.3137i	0.426753	+	0.886161i	0.997866	+	0.0652898i	$0.0207972\pi$
$163$	5.44841	+	11.3137i	0.426753	+	0.886161i	−0.571114	+	0.820871i	$0.693489\pi$
$164$	12.2298	−	15.8004i	0.954986	−	1.23380i
$165$	5.79753			0.451337
$166$	2.85817	−	1.82495i	0.221837	−	0.141643i
$167$	−3.59184	+	15.7369i	−0.277945	+	1.21776i	0.622442	+	0.782666i	$0.286140\pi$
$167$	−3.59184	+	15.7369i	−0.277945	+	1.21776i	−0.900387	+	0.435090i	$0.856717\pi$
$168$	0.0241457	+	7.48328i	0.00186288	+	0.577347i
$169$	3.26985	+	14.3261i	0.251527	+	1.10201i
$170$	14.8104	+	14.5971i	1.13590	+	1.11955i
$171$	0.313806	+	0.393500i	0.0239973	+	0.0300917i
$172$	−1.85045	−	7.59773i	−0.141095	−	0.579322i
$173$	−10.8509	+	2.47664i	−0.824976	+	0.188295i	−0.614111	−	0.789220i	$-0.710485\pi$
$173$	−10.8509	+	2.47664i	−0.824976	+	0.188295i	−0.210865	+	0.977515i	$0.567628\pi$
$174$	2.84421	+	2.80325i	0.215619	+	0.212514i
$175$	−5.11595	−	0.672624i	−0.386729	−	0.0508456i
$176$	−4.04482	−	7.81121i	−0.304889	−	0.588792i
$177$	−14.9520			−1.12386
$178$	−4.61917	−	7.23438i	−0.346221	−	0.542240i
$179$	−14.7969	−	3.37730i	−1.10597	−	0.252431i	−0.369724	−	0.929142i	$-0.620548\pi$
$179$	−14.7969	−	3.37730i	−1.10597	−	0.252431i	−0.736249	+	0.676711i	$0.763405\pi$
$180$	5.27212	−	0.0764619i	0.392961	−	0.00569913i
$181$	13.5092	−	10.7732i	1.00413	−	0.800768i	0.0241193	−	0.999709i	$-0.492322\pi$
$181$	13.5092	−	10.7732i	1.00413	−	0.800768i	0.980011	+	0.198942i	$0.0637504\pi$
$182$	0.222016	−	19.6895i	0.0164569	−	1.45948i
$183$	−7.57433	−	6.04032i	−0.559910	−	0.446514i
$184$	−0.166840	+	1.83959i	−0.0122996	+	0.135616i
$185$	14.3305	+	11.4282i	1.05360	+	0.840218i
$186$	3.58104	−	5.79200i	0.262574	−	0.424690i
$187$	−7.64732	−	9.58944i	−0.559227	−	0.701249i
$188$	−17.5752	+	14.4376i	−1.28180	+	1.05297i
$189$	2.21376	+	1.44888i	0.161027	+	0.105391i
$190$	1.59607	+	0.986810i	0.115791	+	0.0715907i
$191$	8.95656	−	18.5985i	0.648074	−	1.34574i	−0.275121	−	0.961410i	$-0.588718\pi$
$191$	8.95656	−	18.5985i	0.648074	−	1.34574i	0.923196	−	0.384330i	$-0.125568\pi$
$192$	−3.78127	−	7.04997i	−0.272889	−	0.508787i
$193$	5.05918	+	2.43637i	0.364168	+	0.175374i	0.607015	−	0.794691i	$-0.292367\pi$
$193$	5.05918	+	2.43637i	0.364168	+	0.175374i	−0.242847	+	0.970065i	$0.578081\pi$
$194$	−18.2647	−	1.92393i	−1.31133	−	0.138130i
$195$	−13.8739			−0.993531
$196$	−3.42227	+	13.5753i	−0.244448	+	0.969662i
$197$	4.30118			0.306446			0.153223	−	0.988192i	$-0.451035\pi$
$197$	4.30118			0.306446			0.153223	+	0.988192i	$0.451035\pi$
$198$	−3.09286	−	0.325789i	−0.219800	−	0.0231528i
$199$	−13.4392	−	6.47197i	−0.952679	−	0.458786i	−0.108054	−	0.994145i	$-0.534462\pi$
$199$	−13.4392	−	6.47197i	−0.952679	−	0.458786i	−0.844625	+	0.535359i	$0.820176\pi$
$200$	5.16583	−	1.93472i	0.365279	−	0.136805i
$201$	−1.92508	+	3.99747i	−0.135785	+	0.281960i
$202$	−10.3796	−	6.41742i	−0.730305	−	0.451528i
$203$	3.85698	+	6.39850i	0.270707	+	0.449086i
$204$	−7.08074	−	8.61952i	−0.495751	−	0.603487i
$205$	−16.4213	−	20.5916i	−1.14691	−	1.43818i
$206$	−3.49415	+	5.65146i	−0.243449	+	0.393756i
$207$	0.510585	+	0.407178i	0.0354881	+	0.0283008i
$208$	9.67952	+	18.6928i	0.671154	+	1.29611i
$209$	−0.865340	−	0.690086i	−0.0598568	−	0.0477342i
$210$	9.59160	+	2.30330i	0.661883	+	0.158943i
$211$	−6.79583	+	5.41949i	−0.467844	+	0.373093i	−0.828850	−	0.559470i	$-0.811005\pi$
$211$	−6.79583	+	5.41949i	−0.467844	+	0.373093i	0.361007	+	0.932563i	$0.382433\pi$
$212$	0.0470792	+	3.24616i	0.00323341	+	0.222947i
$213$	−15.0105	−	3.42604i	−1.02850	−	0.234749i
$214$	−1.46908	−	2.30083i	−0.100425	−	0.157282i
$215$	−10.3079			−0.702990
$216$	−2.81687	−	0.255473i	−0.191663	−	0.0173827i
$217$	9.17363	−	8.83987i	0.622747	−	0.600089i
$218$	18.2507	+	17.9879i	1.23609	+	1.21829i
$219$	4.16425	−	0.950462i	0.281394	−	0.0642263i
$220$	−11.2658	+	2.74380i	−0.759537	+	0.184987i
$221$	18.3006	+	22.9482i	1.23103	+	1.54366i
$222$	−7.00283	−	6.90200i	−0.469999	−	0.463232i
$223$	0.400625	+	1.75525i	0.0268279	+	0.117541i	0.986569	−	0.163346i	$-0.0522287\pi$
$223$	0.400625	+	1.75525i	0.0268279	+	0.117541i	−0.959741	+	0.280887i	$0.909372\pi$
$224$	−3.58854	−	14.5301i	−0.239769	−	0.970830i
$225$	0.433980	−	1.90139i	0.0289320	−	0.126759i
$226$	9.90339	−	6.32333i	0.658763	−	0.420622i
$227$	−5.01200			−0.332658			−0.166329	−	0.986070i	$-0.553191\pi$
$227$	−5.01200			−0.332658			−0.166329	+	0.986070i	$0.553191\pi$
$228$	−0.796019	−	0.616133i	−0.0527176	−	0.0408044i
$229$	6.22557	+	12.9275i	0.411397	+	0.854275i	0.998982	+	0.0451122i	$0.0143645\pi$
$229$	6.22557	+	12.9275i	0.411397	+	0.854275i	−0.587585	+	0.809163i	$0.699921\pi$
$230$	2.30398	+	0.787492i	0.151920	+	0.0519257i
$231$	−5.45519	−	2.02305i	−0.358925	−	0.133107i
$232$	−6.85355	−	4.10120i	−0.449958	−	0.269257i
$233$	2.93771	−	12.8709i	0.192456	−	0.843203i	−0.782827	−	0.622240i	$-0.786223\pi$
$233$	2.93771	−	12.8709i	0.192456	−	0.843203i	0.975282	−	0.220963i	$-0.0709200\pi$
$234$	7.40144	+	0.779636i	0.483847	+	0.0509664i
$235$	13.0086	+	27.0125i	0.848585	+	1.76210i
$236$	29.0547	−	7.07635i	1.89130	−	0.460631i
$237$	2.79751	−	5.80910i	0.181718	−	0.377341i
$238$	−8.84215	−	18.9032i	−0.573151	−	1.22531i
$239$	−6.49002	−	13.4767i	−0.419805	−	0.871733i	−0.998423	−	0.0561351i	$-0.982122\pi$
$239$	−6.49002	−	13.4767i	−0.419805	−	0.871733i	0.578618	−	0.815598i	$-0.303592\pi$
$240$	−10.2086	+	2.64372i	−0.658962	+	0.170652i
$241$	3.74034	−	0.853709i	0.240937	−	0.0549922i	−0.100347	−	0.994952i	$-0.531995\pi$
$241$	3.74034	−	0.853709i	0.240937	−	0.0549922i	0.341284	+	0.939960i	$0.389138\pi$
$242$	−8.65513	+	1.03881i	−0.556373	+	0.0667771i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	17.5771	+	8.15283i	1.12526	+	0.521932i
$245$	16.3188	+	8.61749i	1.04257	+	0.550551i
$246$	7.60328	+	11.9080i	0.484767	+	0.759226i
$247$	2.07082	+	1.65142i	0.131763	+	0.105078i
$248$	−4.21748	+	12.9498i	−0.267810	+	0.822313i
$249$	0.533577	+	2.33775i	0.0338141	+	0.148149i
$250$	1.35497	+	11.2894i	0.0856961	+	0.714002i
$251$	6.76839	−	3.25949i	0.427217	−	0.205737i	−0.207904	−	0.978149i	$-0.566664\pi$
$251$	6.76839	−	3.25949i	0.427217	−	0.205737i	0.635122	+	0.772412i	$0.280950\pi$
$252$	−4.98749	−	1.76776i	−0.314182	−	0.111358i
$253$	−1.29392	−	0.623118i	−0.0813479	−	0.0391751i
$254$	4.82177	−	14.1071i	0.302545	−	0.885160i
$255$	−13.2480	+	6.37988i	−0.829619	+	0.399524i
$256$	10.6843	+	11.9099i	0.667768	+	0.744369i
$257$	−17.9291	−	4.09220i	−1.11839	−	0.255264i	−0.376914	−	0.926248i	$-0.623015\pi$
$257$	−17.9291	−	4.09220i	−1.11839	−	0.255264i	−0.741472	+	0.670984i	$0.765872\pi$
$258$	5.49903	+	0.579244i	0.342355	+	0.0360622i
$259$	−9.49643	−	15.7540i	−0.590079	−	0.978905i
$260$	26.9597	−	6.56612i	1.67197	−	0.407213i
$261$	−2.54416	+	1.22520i	−0.157480	+	0.0758381i
$262$	−0.659715	−	1.84239i	−0.0407573	−	0.113823i
$263$		−	12.2187i		−	0.753438i	−0.926328	−	0.376719i	$-0.877052\pi$
$263$		−	12.2187i		−	0.753438i	0.926328	−	0.376719i	$-0.122948\pi$
$264$	6.16423	−	0.830690i	0.379382	−	0.0511255i
$265$	4.17215	+	0.952265i	0.256293	+	0.0584972i
$266$	−1.15748	−	1.48549i	−0.0709696	−	0.0910811i
$267$	5.91713	−	1.35055i	0.362123	−	0.0826522i
$268$	1.84892	−	8.67896i	0.112941	−	0.530152i
$269$	2.22813	−	1.77687i	0.135851	−	0.108338i	−0.553207	−	0.833044i	$-0.686596\pi$
$269$	2.22813	−	1.77687i	0.135851	−	0.108338i	0.689058	+	0.724706i	$0.258025\pi$
$270$	−1.20585	+	3.52796i	−0.0733854	+	0.214705i
$271$	−1.65821	−	7.26509i	−0.100729	−	0.441323i	−0.999992	−	0.00391501i	$-0.998754\pi$
$271$	−1.65821	−	7.26509i	−0.100729	−	0.441323i	0.899263	−	0.437408i	$-0.144103\pi$
$272$	17.8386	+	13.3983i	1.08163	+	0.812392i
$273$	13.0546	+	4.84129i	0.790103	+	0.293008i
$274$	−5.43218	−	15.1705i	−0.328170	−	0.916485i
$275$			4.28885i			0.258627i
$276$	−1.18487	−	0.549582i	−0.0713209	−	0.0330809i
$277$	4.57588	−	20.0483i	0.274938	−	1.20458i	−0.629166	−	0.777271i	$-0.716603\pi$
$277$	4.57588	−	20.0483i	0.274938	−	1.20458i	0.904104	−	0.427312i	$-0.140539\pi$
$278$	10.9774	−	17.7550i	0.658383	−	1.06487i
$279$	3.00219	+	3.76462i	0.179736	+	0.225382i
$280$	−19.7285	+	0.0636563i	−1.17900	+	0.00380419i
$281$	−11.9753	+	15.0165i	−0.714386	+	0.895812i	−0.998006	−	0.0631253i	$-0.979893\pi$
$281$	−11.9753	+	15.0165i	−0.714386	+	0.895812i	0.283620	+	0.958937i	$0.408465\pi$
$282$	−5.42184	−	15.1416i	−0.322866	−	0.901672i
$283$	9.10794	−	11.4210i	0.541411	−	0.678908i	−0.433590	−	0.901110i	$-0.642753\pi$
$283$	9.10794	−	11.4210i	0.541411	−	0.678908i	0.975000	+	0.222203i	$0.0713247\pi$
$284$	30.7898	−	0.446546i	1.82704	−	0.0264976i
$285$	−1.03740	+	0.827299i	−0.0614503	+	0.0490050i
$286$	−16.2498	+	1.95034i	−0.960872	+	0.115326i
$287$	8.26616	+	25.1059i	0.487936	+	1.48195i
$288$	5.59463	−	0.836706i	0.329667	−	0.0493034i
$289$	12.7111	+	6.12135i	0.747712	+	0.360079i
$290$	−7.39033	+	7.49829i	−0.433975	+	0.440315i
$291$	5.63466	−	11.7005i	0.330310	−	0.685896i
$292$	−7.64213	+	3.81775i	−0.447222	+	0.223417i
$293$		−	32.2796i		−	1.88579i	−0.333085	−	0.942897i	$-0.608090\pi$
$293$		−	32.2796i		−	1.88579i	0.333085	−	0.942897i	$-0.391910\pi$
$294$	−8.22148	−	5.51428i	−0.479487	−	0.321599i
$295$		−	39.4186i		−	2.29504i
$296$	16.8744	+	10.0977i	0.980804	+	0.586918i
$297$	0.954147	−	1.98131i	0.0553652	−	0.114967i
$298$	−3.82192	−	3.76689i	−0.221398	−	0.218210i
$299$	3.09643	+	1.49116i	0.179071	+	0.0862362i
$300$	0.0565643	+	3.90016i	0.00326574	+	0.225176i
$301$	9.69918	+	3.59692i	0.559051	+	0.207323i
$302$	2.31314	+	19.2726i	0.133106	+	1.10901i
$303$	6.74642	−	5.38009i	0.387572	−	0.309078i
$304$	1.83842	+	0.820535i	0.105441	+	0.0470609i
$305$	15.9243	−	19.9685i	0.911825	−	1.14339i
$306$	7.42603	−	2.65907i	0.424518	−	0.152009i
$307$	−6.31096	+	7.91369i	−0.360185	+	0.451658i	−0.928599	−	0.371085i	$-0.878986\pi$
$307$	−6.31096	+	7.91369i	−0.360185	+	0.451658i	0.568414	+	0.822743i	$0.307557\pi$
$308$	11.5580	+	1.34940i	0.658576	+	0.0768889i
$309$	−2.92935	−	3.67328i	−0.166645	−	0.208966i
$310$	15.2697	+	9.44083i	0.867259	+	0.536203i
$311$	3.38380	−	14.8254i	0.191878	−	0.840672i	−0.783721	−	0.621113i	$-0.786681\pi$
$311$	3.38380	−	14.8254i	0.191878	−	0.840672i	0.975599	−	0.219559i	$-0.0704620\pi$
$312$	−14.7514	+	1.98790i	−0.835135	+	0.112543i
$313$			34.5537i			1.95309i	0.215317	+	0.976544i	$0.430922\pi$
$313$			34.5537i			1.95309i	−0.215317	+	0.976544i	$0.569078\pi$
$314$	−31.4044	+	11.2451i	−1.77225	+	0.634599i
$315$	−3.81975	+	5.83622i	−0.215219	+	0.328834i
$316$	−2.68684	+	12.6122i	−0.151147	+	0.709492i
$317$	−1.58000	−	6.92243i	−0.0887417	−	0.388803i	0.910979	−	0.412454i	$-0.135328\pi$
$317$	−1.58000	−	6.92243i	−0.0887417	−	0.388803i	−0.999720	+	0.0236510i	$0.992471\pi$
$318$	−2.17224	−	0.742465i	−0.121813	−	0.0416354i
$319$	4.85501	−	3.87174i	0.271828	−	0.216776i
$320$	18.5861	−	9.96871i	1.03899	−	0.557268i
$321$	1.88189	−	0.429530i	0.105037	−	0.0239740i
$322$	−1.89313	−	1.54496i	−0.105500	−	0.0860974i
$323$	2.73679	+	0.624655i	0.152279	+	0.0347568i
$324$	0.841545	−	1.81433i	0.0467525	−	0.100796i
$325$		−	10.2635i		−	0.569317i
$326$	16.7192	−	5.98672i	0.925990	−	0.331574i
$327$	−16.3253	+	7.86187i	−0.902794	+	0.434762i
$328$	−20.4104	−	19.5412i	−1.12697	−	1.07898i
$329$	−2.81439	−	29.9568i	−0.155162	−	1.65157i
$330$	0.858891	−	8.15384i	0.0472804	−	0.448854i
$331$	−2.56968	−	0.586513i	−0.141243	−	0.0322377i	0.151315	−	0.988486i	$-0.451649\pi$
$331$	−2.56968	−	0.586513i	−0.141243	−	0.0322377i	−0.292558	+	0.956248i	$0.594506\pi$
$332$	−2.14324	−	4.29019i	−0.117625	−	0.235455i
$333$	6.26407	−	3.01662i	0.343269	−	0.165310i
$334$	21.6007	+	7.38305i	1.18194	+	0.403983i
$335$	−10.5387	−	5.07517i	−0.575790	−	0.277286i
$336$	10.5283	+	1.07467i	0.574366	+	0.0586281i
$337$	2.42163	−	1.16619i	0.131914	−	0.0635266i	−0.366762	−	0.930315i	$-0.619534\pi$
$337$	2.42163	−	1.16619i	0.131914	−	0.0635266i	0.498677	+	0.866788i	$0.333819\pi$
$338$	20.6332	−	2.47644i	1.12230	−	0.134700i
$339$	1.84881	+	8.10017i	0.100414	+	0.439941i
$340$	22.7240	−	18.6672i	1.23238	−	1.01237i
$341$	−8.27873	−	6.60207i	−0.448318	−	0.357522i
$342$	0.599921	−	0.383051i	0.0324400	−	0.0207130i
$343$	−12.3481	−	13.8031i	−0.666735	−	0.745295i
$344$	−10.9598	+	1.47695i	−0.590915	+	0.0796315i
$345$	−1.07346	+	1.34607i	−0.0577931	+	0.0724702i
$346$	1.87570	+	15.6279i	0.100838	+	0.840162i
$347$	18.6447	−	4.25554i	1.00090	−	0.228449i	0.309484	−	0.950905i	$-0.399844\pi$
$347$	18.6447	−	4.25554i	1.00090	−	0.228449i	0.691418	+	0.722455i	$0.256987\pi$
$348$	4.36395	−	3.58489i	0.233932	−	0.192170i
$349$	−15.6474	−	32.4922i	−0.837587	−	1.73927i	−0.654340	−	0.756200i	$-0.727054\pi$
$349$	−15.6474	−	32.4922i	−0.837587	−	1.73927i	−0.183247	−	0.983067i	$-0.558661\pi$
$350$	−1.70392	+	7.09558i	−0.0910781	+	0.379275i
$351$	−2.28334	+	4.74141i	−0.121876	+	0.253077i
$352$	−11.5852	+	4.53155i	−0.617492	+	0.241532i
$353$	1.57282	+	3.26599i	0.0837126	+	0.173831i	0.938623	−	0.344945i	$-0.112102\pi$
$353$	1.57282	+	3.26599i	0.0837126	+	0.173831i	−0.854910	+	0.518776i	$0.826388\pi$
$354$	−2.21510	+	21.0290i	−0.117731	+	1.11768i
$355$	9.03222	−	39.5727i	0.479380	−	2.10030i
$356$	−10.8590	+	5.42479i	−0.575525	+	0.287513i
$357$	14.6919	−	1.38028i	0.777579	−	0.0730522i
$358$	−6.94207	+	20.3105i	−0.366900	+	1.07344i
$359$	−7.27372	−	15.1040i	−0.383892	−	0.797160i	−0.999955	−	0.00946355i	$-0.996988\pi$
$359$	−7.27372	−	15.1040i	−0.383892	−	0.797160i	0.616063	−	0.787697i	$-0.288727\pi$
$360$	0.673514	−	7.42622i	0.0354973	−	0.391396i
$361$	−18.7467			−0.986668
$362$	−13.1505	−	20.5958i	−0.691173	−	1.08249i
$363$	1.37162	−	6.00948i	0.0719916	−	0.315416i
$364$	−27.6590	−	3.22920i	−1.44973	−	0.169256i
$365$	2.50574	+	10.9784i	0.131157	+	0.574634i
$366$	−9.61743	+	9.75792i	−0.502711	+	0.510055i
$367$	12.3348	+	15.4673i	0.643870	+	0.807388i	0.991481	−	0.130251i	$-0.0415784\pi$
$367$	12.3348	+	15.4673i	0.643870	+	0.807388i	−0.347611	+	0.937639i	$0.613007\pi$
$368$	2.56254	+	0.507180i	0.133582	+	0.0264386i
$369$	−9.73977	+	2.22304i	−0.507032	+	0.115727i
$370$	18.1960	−	18.4618i	0.945966	−	0.959785i
$371$	−3.59349	−	2.35190i	−0.186565	−	0.122105i
$372$	−7.61553	−	5.89456i	−0.394847	−	0.305619i
$373$	11.0833			0.573873			0.286936	−	0.957950i	$-0.407363\pi$
$373$	11.0833			0.573873			0.286936	+	0.957950i	$0.407363\pi$
$374$	−14.6198	+	9.33479i	−0.755973	+	0.482690i
$375$	−7.83850	−	1.78909i	−0.404778	−	0.0923880i
$376$	17.7018	+	26.8572i	0.912901	+	1.38505i
$377$	−11.6184	+	9.26534i	−0.598376	+	0.477189i
$378$	2.36572	−	2.89886i	0.121680	−	0.149101i
$379$	−19.9513	−	15.9106i	−1.02483	−	0.817273i	−0.0415040	−	0.999138i	$-0.513215\pi$
$379$	−19.9513	−	15.9106i	−1.02483	−	0.817273i	−0.983323	+	0.181866i	$0.941786\pi$
$380$	1.62434	−	2.09858i	0.0833267	−	0.107655i
$381$	8.24194	+	6.57273i	0.422247	+	0.336731i
$382$	−24.8306	−	15.3521i	−1.27045	−	0.785483i
$383$	−11.1834	−	14.0236i	−0.571447	−	0.716572i	0.409181	−	0.912453i	$-0.365815\pi$
$383$	−11.1834	−	14.0236i	−0.571447	−	0.716572i	−0.980628	+	0.195882i	$0.937243\pi$
$384$	−10.4755	+	4.27366i	−0.534575	+	0.218089i
$385$	5.33344	−	14.3817i	0.271817	−	0.732961i
$386$	4.17610	−	6.75445i	0.212558	−	0.343792i
$387$	−1.69645	+	3.52271i	−0.0862353	+	0.179069i
$388$	−5.41176	+	25.4031i	−0.274740	+	1.28965i
$389$	28.8371	+	13.8872i	1.46210	+	0.704109i	0.984648	−	0.174550i	$-0.0558470\pi$
$389$	28.8371	+	13.8872i	1.46210	+	0.704109i	0.477450	+	0.878659i	$0.341561\pi$
$390$	−2.05539	+	19.5127i	−0.104078	+	0.988064i
$391$	3.64244			0.184206
$392$	18.5857	+	6.82434i	0.938720	+	0.344681i
$393$	1.38377			0.0698020
$394$	0.637209	−	6.04931i	0.0321021	−	0.304760i
$395$	15.3147	+	7.37519i	0.770569	+	0.371086i
$396$	−0.916401	+	4.30164i	−0.0460509	+	0.216166i
$397$	−4.13856	+	8.59380i	−0.207708	+	0.431311i	−0.978633	−	0.205616i	$-0.934080\pi$
$397$	−4.13856	+	8.59380i	−0.207708	+	0.431311i	0.770925	+	0.636927i	$0.219795\pi$
$398$	−11.0934	+	17.9425i	−0.556061	+	0.899377i
$399$	1.26483	−	0.416447i	0.0633206	−	0.0208484i
$400$	−1.95575	−	7.55201i	−0.0977875	−	0.377601i
$401$	5.93156	+	7.43795i	0.296208	+	0.371433i	0.907558	−	0.419927i	$-0.137944\pi$
$401$	5.93156	+	7.43795i	0.296208	+	0.371433i	−0.611350	+	0.791361i	$0.709373\pi$
$402$	5.33698	+	3.29971i	0.266184	+	0.164575i
$403$	19.8116	+	15.7992i	0.986885	+	0.787014i
$404$	−10.5634	+	13.6475i	−0.525548	+	0.678987i
$405$	−2.06117	−	1.64373i	−0.102421	−	0.0816776i
$406$	9.57046	−	4.47666i	0.474974	−	0.222173i
$407$	−11.9537	+	9.53276i	−0.592523	+	0.472521i
$408$	−13.1718	+	8.68162i	−0.652100	+	0.429804i
$409$	14.6535	+	3.34456i	0.724567	+	0.165378i	0.568870	−	0.822427i	$-0.307381\pi$
$409$	14.6535	+	3.34456i	0.724567	+	0.165378i	0.155697	+	0.987805i	$0.450238\pi$
$410$	−31.3935	+	20.0448i	−1.55042	+	0.989943i
$411$	11.3942			0.562032
$412$	7.43075	+	5.75154i	0.366087	+	0.283358i
$413$	−13.7551	+	37.0909i	−0.676844	+	1.82512i
$414$	0.648310	−	0.657781i	0.0318627	−	0.0323281i
$415$	−6.16311	+	1.40669i	−0.302535	+	0.0690517i
$416$	27.7241	−	10.8443i	1.35929	−	0.531686i
$417$	9.20301	+	11.5402i	0.450673	+	0.565126i
$418$	−1.09876	+	1.11481i	−0.0537420	+	0.0545270i
$419$	2.69174	+	11.7933i	0.131500	+	0.576140i	0.997147	+	0.0754845i	$0.0240503\pi$
$419$	2.69174	+	11.7933i	0.131500	+	0.576140i	−0.865647	+	0.500655i	$0.833093\pi$
$420$	4.66041	−	13.1487i	0.227405	−	0.641591i
$421$	−0.643723	+	2.82033i	−0.0313731	+	0.137455i	−0.988189	−	0.153240i	$-0.951029\pi$
$421$	−0.643723	+	2.82033i	−0.0313731	+	0.137455i	0.956816	+	0.290695i	$0.0938864\pi$
$422$	6.61536	+	10.3608i	0.322031	+	0.504354i
$423$	11.3725			0.552948
$424$	4.57248	+	0.414697i	0.222059	+	0.0201395i
$425$	−4.71965	−	9.80045i	−0.228937	−	0.475392i
$426$	−7.04227	+	20.6037i	−0.341199	+	0.998251i
$427$	−21.9520	+	13.2326i	−1.06233	+	0.640369i
$428$	−3.45360	+	1.72531i	−0.166936	+	0.0833958i
$429$	2.57520	−	11.2827i	0.124332	−	0.544732i
$430$	−1.52708	+	14.4973i	−0.0736426	+	0.699122i
$431$	16.1488	+	33.5332i	0.777858	+	1.61524i	0.788298	+	0.615294i	$0.210963\pi$
$431$	16.1488	+	33.5332i	0.777858	+	1.61524i	−0.0104393	+	0.999946i	$0.503323\pi$
$432$	−0.776618	+	3.92388i	−0.0373650	+	0.188788i
$433$	−7.09903	+	14.7413i	−0.341158	+	0.708422i	−0.998999	−	0.0447353i	$-0.985756\pi$
$433$	−7.09903	+	14.7413i	−0.341158	+	0.708422i	0.657841	+	0.753157i	$0.271470\pi$
$434$	−11.0736	−	14.2117i	−0.531551	−	0.682183i
$435$	−3.23005	−	6.70727i	−0.154869	−	0.321589i
$436$	28.0026	−	23.0035i	1.34108	−	1.10167i
$437$	0.320449	−	0.0731404i	0.0153292	−	0.00349878i
$438$	−0.719838	−	5.99754i	−0.0343952	−	0.286574i
$439$	1.03471	−	1.29749i	0.0493841	−	0.0619257i	−0.756526	−	0.653964i	$-0.773105\pi$
$439$	1.03471	−	1.29749i	0.0493841	−	0.0619257i	0.805910	+	0.592038i	$0.201676\pi$
$440$	2.18998	+	16.2510i	0.104403	+	0.774736i
$441$	5.63074	−	4.15870i	0.268131	−	0.198033i
$442$	34.9863	−	22.3388i	1.66413	−	1.06255i
$443$	−5.02277	−	4.00553i	−0.238639	−	0.190308i	0.496867	−	0.867827i	$-0.334484\pi$
$443$	−5.02277	−	4.00553i	−0.238639	−	0.190308i	−0.735506	+	0.677519i	$0.763055\pi$
$444$	−10.7447	+	8.82649i	−0.509919	+	0.418887i
$445$	3.56050	+	15.5996i	0.168784	+	0.739491i
$446$	2.52800	−	0.303416i	0.119704	−	0.0143672i
$447$	3.41873	−	1.64637i	0.161700	−	0.0778708i
$448$	−20.9672	+	2.89444i	−0.990606	+	0.136750i
$449$	−19.0116	−	9.15551i	−0.897213	−	0.432075i	−0.0723318	−	0.997381i	$-0.523044\pi$
$449$	−19.0116	−	9.15551i	−0.897213	−	0.432075i	−0.824882	+	0.565305i	$0.808758\pi$
$450$	−2.60988	−	0.892049i	−0.123031	−	0.0420516i
$451$	19.7938	−	9.53217i	0.932051	−	0.448852i
$452$	−7.42618	−	14.8652i	−0.349298	−	0.699202i
$453$	−13.3815	−	3.05423i	−0.628716	−	0.143500i
$454$	−0.742516	+	7.04904i	−0.0348480	+	0.330828i
$455$	−12.7633	+	34.4165i	−0.598352	+	1.61347i
$456$	−0.984478	+	1.02827i	−0.0461024	+	0.0481531i
$457$	−29.2211	+	14.0721i	−1.36690	+	0.658266i	−0.966165	−	0.257925i	$-0.916961\pi$
$457$	−29.2211	+	14.0721i	−1.36690	+	0.658266i	−0.400740	+	0.916192i	$0.631247\pi$
$458$	19.1040	−	6.84066i	0.892671	−	0.319643i
$459$			5.57748i			0.260334i
$460$	1.44888	−	3.12373i	0.0675546	−	0.145644i
$461$	3.39765	+	0.775491i	0.158244	+	0.0361182i	0.300909	−	0.953653i	$-0.402710\pi$
$461$	3.39765	+	0.775491i	0.158244	+	0.0361182i	−0.142665	+	0.989771i	$0.545567\pi$
$462$	−3.65345	+	7.37265i	−0.169974	+	0.343007i
$463$	−15.4484	+	3.52599i	−0.717947	+	0.163867i	−0.565861	−	0.824501i	$-0.691456\pi$
$463$	−15.4484	+	3.52599i	−0.717947	+	0.163867i	−0.152086	+	0.988367i	$0.548599\pi$
$464$	−6.78339	+	9.03147i	−0.314911	+	0.419276i
$465$	−9.92483	+	7.91479i	−0.460253	+	0.367039i
$466$	−17.6669	−	6.03848i	−0.818403	−	0.279727i
$467$	4.39040	+	19.2356i	0.203163	+	0.890117i	0.968996	+	0.247077i	$0.0794700\pi$
$467$	4.39040	+	19.2356i	0.203163	+	0.890117i	−0.765833	+	0.643040i	$0.777673\pi$
$468$	2.19301	−	10.2941i	0.101372	−	0.475846i
$469$	8.14541	+	8.45295i	0.376120	+	0.390321i
$470$	39.9185	−	14.2938i	1.84130	−	0.659324i
$471$		−	23.5869i		−	1.08683i
$472$	−5.64803	−	41.9118i	−0.259972	−	1.92915i
$473$	1.91329	−	8.38266i	0.0879730	−	0.385435i
$474$	−7.75566	−	4.79512i	−0.356229	−	0.220247i
$475$	−0.612011	−	0.767438i	−0.0280810	−	0.0352125i
$476$	−27.8961	+	9.63542i	−1.27861	+	0.441639i
$477$	1.01208	−	1.26911i	0.0463400	−	0.0581085i
$478$	−19.9155	+	7.13124i	−0.910914	+	0.326175i
$479$	11.2544	−	14.1126i	0.514226	−	0.644819i	−0.455146	−	0.890417i	$-0.650413\pi$
$479$	11.2544	−	14.1126i	0.514226	−	0.644819i	0.969372	+	0.245598i	$0.0789842\pi$
$480$	2.20584	+	14.7494i	0.100682	+	0.673213i
$481$	28.6060	−	22.8125i	1.30432	−	1.04016i
$482$	−0.646561	−	5.38702i	−0.0294501	−	0.245372i
$483$	1.47978	−	0.892006i	0.0673325	−	0.0405877i
$484$	0.178776	+	12.3268i	0.00812616	+	0.560307i
$485$	30.8465	+	14.8549i	1.40067	+	0.674526i
$486$	1.00722	+	0.992723i	0.0456886	+	0.0450308i
$487$	−15.8480	+	32.9086i	−0.718140	+	1.49123i	0.146698	+	0.989181i	$0.453135\pi$
$487$	−15.8480	+	32.9086i	−0.718140	+	1.49123i	−0.864838	+	0.502051i	$0.832579\pi$
$488$	14.0704	−	23.5132i	0.636938	−	1.06439i
$489$			12.5573i			0.567861i
$490$	14.5375	−	21.6746i	0.656738	−	0.979159i
$491$			17.9464i			0.809908i	0.914337	+	0.404954i	$0.132713\pi$
$491$			17.9464i			0.809908i	−0.914337	+	0.404954i	$0.867287\pi$
$492$	17.8742	−	8.92936i	0.805831	−	0.402566i
$493$	−6.83354	+	14.1900i	−0.307767	+	0.639085i
$494$	2.62940	−	2.66781i	0.118302	−	0.120031i
$495$	5.22340	+	2.51546i	0.234774	+	0.113061i
$496$	17.5882	+	7.85008i	0.789733	+	0.352479i
$497$	−22.3077	+	34.0842i	−1.00064	+	1.52888i
$498$	3.36694	−	0.404107i	0.150876	−	0.0181085i
$499$	−5.04556	+	4.02370i	−0.225870	+	0.180126i	−0.729886	−	0.683569i	$-0.760427\pi$
$499$	−5.04556	+	4.02370i	−0.225870	+	0.180126i	0.504016	+	0.863695i	$0.331855\pi$
$500$	16.0785	−	0.233187i	0.719051	−	0.0104284i
$501$	−10.0641	+	12.6200i	−0.449631	+	0.563819i
$502$	−3.58153	−	10.0022i	−0.159851	−	0.446419i
$503$	16.5114	−	20.7046i	0.736205	−	0.923172i	−0.262927	−	0.964816i	$-0.584688\pi$
$503$	16.5114	−	20.7046i	0.736205	−	0.923172i	0.999133	+	0.0416433i	$0.0132593\pi$
$504$	−3.22512	+	6.75267i	−0.143658	+	0.300788i
$505$	14.1837	+	17.7859i	0.631168	+	0.791460i
$506$	−1.06806	+	1.72749i	−0.0474812	+	0.0767965i
$507$	−3.26985	+	14.3261i	−0.145219	+	0.636246i
$508$	−19.1264	−	8.87143i	−0.848596	−	0.393606i
$509$			12.3040i			0.545363i	0.962104	+	0.272682i	$0.0879106\pi$
$509$			12.3040i			0.545363i	−0.962104	+	0.272682i	$0.912089\pi$
$510$	7.01022	+	19.5775i	0.310418	+	0.866907i
$511$	1.47312	−	11.2045i	0.0651670	−	0.495657i
$512$	18.3333	−	13.2623i	0.810227	−	0.586117i
$513$	0.111996	+	0.490687i	0.00494475	+	0.0216643i
$514$	−8.41155	+	24.6098i	−0.371018	+	1.08549i
$515$	9.68402	−	7.72275i	0.426729	−	0.340305i
$516$	1.62934	−	7.64820i	0.0717275	−	0.336693i
$517$	−24.3820	+	5.56503i	−1.07232	+	0.244750i
$518$	−23.5638	+	11.0222i	−1.03533	+	0.484286i
$519$	−10.8509	−	2.47664i	−0.476300	−	0.108712i
$520$	−5.24078	−	38.8898i	−0.229823	−	1.70543i
$521$		−	37.7280i		−	1.65289i	−0.563014	−	0.826447i	$-0.690358\pi$
$521$		−	37.7280i		−	1.65289i	0.563014	−	0.826447i	$-0.309642\pi$
$522$	1.34625	+	3.75970i	0.0589239	+	0.164558i
$523$	−7.95019	+	3.82861i	−0.347638	+	0.167413i	−0.599551	−	0.800336i	$-0.704654\pi$
$523$	−7.95019	+	3.82861i	−0.347638	+	0.167413i	0.251914	+	0.967750i	$0.418940\pi$
$524$	−2.68894	+	0.654898i	−0.117467	+	0.0286094i
$525$	−4.31747	−	2.82574i	−0.188430	−	0.123325i
$526$	−17.1848	−	1.81017i	−0.749293	−	0.0789273i
$527$	26.1830	+	5.97609i	1.14055	+	0.260323i
$528$	−0.255094	−	8.79264i	−0.0111015	−	0.382651i
$529$	−20.3380	+	9.79428i	−0.884262	+	0.425838i
$530$	1.95739	−	5.72677i	0.0850236	−	0.248755i
$531$	−13.4713	−	6.48743i	−0.584604	−	0.281531i
$532$	−2.26072	+	1.40784i	−0.0980145	+	0.0610378i
$533$	−47.3678	+	22.8111i	−2.05173	+	0.988060i
$534$	−1.02284	−	8.52213i	−0.0442628	−	0.368789i
$535$	1.13239	+	4.96131i	0.0489573	+	0.214496i
$536$	−11.9325	−	3.88615i	−0.515404	−	0.167856i
$537$	−11.8662	−	9.46298i	−0.512064	−	0.408358i
$538$	−2.16896	−	3.39695i	−0.0935104	−	0.146453i
$539$	−10.0370	+	11.6714i	−0.432324	+	0.502723i
$540$	4.78320	+	2.21860i	0.205836	+	0.0954733i
$541$	−4.91108	+	6.15830i	−0.211144	+	0.264766i	−0.876114	−	0.482104i	$-0.839873\pi$
$541$	−4.91108	+	6.15830i	−0.211144	+	0.264766i	0.664970	+	0.746870i	$0.268444\pi$
$542$	−10.4635	+	1.25585i	−0.449447	+	0.0539435i
$543$	16.8457	−	3.84492i	0.722918	−	0.165001i
$544$	21.4866	−	23.1039i	0.921230	−	0.990573i
$545$	−20.7266	−	43.0391i	−0.887828	−	1.84359i
$546$	8.74296	−	17.6433i	0.374164	−	0.755062i
$547$	−10.4736	+	21.7487i	−0.447820	+	0.929909i	0.547817	+	0.836598i	$0.315459\pi$
$547$	−10.4736	+	21.7487i	−0.447820	+	0.929909i	−0.995637	+	0.0933102i	$0.970255\pi$
$548$	−22.1411	+	5.39252i	−0.945820	+	0.230357i
$549$	−4.20343	−	8.72852i	−0.179398	−	0.372524i
$550$	6.03197	+	0.635382i	0.257204	+	0.0270928i
$551$	−0.316255	+	1.38560i	−0.0134729	+	0.0590287i
$552$	−0.948485	+	1.58502i	−0.0403702	+	0.0674631i
$553$	−11.8368	−	12.2838i	−0.503354	−	0.522359i
$554$	−27.5186	−	9.40577i	−1.16915	−	0.399613i
$555$	7.95283	+	16.5142i	0.337579	+	0.700990i
$556$	−23.3449	−	18.0694i	−0.990044	−	0.766312i
$557$	0.257749			0.0109212			0.00546059	−	0.999985i	$-0.498262\pi$
$557$	0.257749			0.0109212			0.00546059	+	0.999985i	$0.498262\pi$
$558$	5.73946	−	3.66465i	0.242971	−	0.155137i
$559$	−4.57863	+	20.0603i	−0.193655	+	0.848459i
$560$	−2.83320	+	27.7562i	−0.119724	+	1.17291i
$561$	−2.72930	−	11.9578i	−0.115231	−	0.504860i
$562$	19.3456	+	19.0671i	0.816046	+	0.804297i
$563$	19.2663	+	24.1592i	0.811978	+	1.01819i	0.999355	+	0.0359000i	$0.0114298\pi$
$563$	19.2663	+	24.1592i	0.811978	+	1.01819i	−0.187378	+	0.982288i	$0.559999\pi$
$564$	−22.0989	+	5.38225i	−0.930533	+	0.226634i
$565$	−21.3548	+	4.87409i	−0.898403	+	0.205055i
$566$	−14.7135	−	14.5017i	−0.618456	−	0.609552i
$567$	1.36588	+	2.26591i	0.0573617	+	0.0951594i
$568$	3.93339	−	43.3699i	0.165042	−	1.81976i
$569$	−22.4115			−0.939539			−0.469769	−	0.882789i	$-0.655663\pi$
$569$	−22.4115			−0.939539			−0.469769	+	0.882789i	$0.655663\pi$
$570$	1.00985	+	1.58160i	0.0422980	+	0.0662457i
$571$	−35.3377	−	8.06561i	−1.47884	−	0.337535i	−0.594392	−	0.804176i	$-0.702607\pi$
$571$	−35.3377	−	8.06561i	−1.47884	−	0.337535i	−0.884447	+	0.466641i	$0.845464\pi$
$572$	0.335647	+	23.1432i	0.0140341	+	0.967666i
$573$	16.1392	−	12.8706i	0.674224	−	0.537675i
$574$	36.5344	−	7.90642i	1.52491	−	0.330008i
$575$	−0.995787	−	0.794113i	−0.0415272	−	0.0331168i
$576$	−0.347939	−	7.99243i	−0.0144975	−	0.333018i
$577$	0.554783	+	0.442424i	0.0230959	+	0.0184184i	0.634970	−	0.772537i	$-0.281013\pi$
$577$	0.554783	+	0.442424i	0.0230959	+	0.0184184i	−0.611874	+	0.790955i	$0.709584\pi$
$578$	10.4924	−	16.9705i	0.436425	−	0.705878i
$579$	3.50106	+	4.39019i	0.145499	+	0.182450i
$580$	9.45098	+	11.5049i	0.392431	+	0.477713i
$581$	6.29004	+	0.826990i	0.260955	+	0.0343093i
$582$	−15.6212	−	9.65818i	−0.647520	−	0.400344i
$583$	−1.54882	+	3.21616i	−0.0641456	+	0.133200i
$584$	4.23725	+	11.3137i	0.175339	+	0.468165i
$585$	−12.5000	−	6.01966i	−0.516809	−	0.248882i
$586$	−45.3991	−	4.78214i	−1.87542	−	0.197549i
$587$	7.08222			0.292314			0.146157	−	0.989261i	$-0.453309\pi$
$587$	7.08222			0.292314			0.146157	+	0.989261i	$0.453309\pi$
$588$	−8.97345	+	10.7460i	−0.370059	+	0.443159i
$589$	2.42348			0.0998579
$590$	−55.4396	−	5.83977i	−2.28241	−	0.240419i
$591$	3.87523	+	1.86621i	0.159405	+	0.0767656i
$592$	16.7017	−	22.2367i	0.686434	−	0.913924i
$593$	12.9490	−	26.8889i	0.531753	−	1.10420i	−0.446116	−	0.894975i	$-0.647193\pi$
$593$	12.9490	−	26.8889i	0.531753	−	1.10420i	0.977869	−	0.209220i	$-0.0670926\pi$
$594$	−2.64522	−	1.63547i	−0.108535	−	0.0671041i
$595$	3.63889	+	38.7329i	0.149180	+	1.58789i
$596$	−5.86408	+	4.81721i	−0.240202	+	0.197321i
$597$	−9.30021	−	11.6621i	−0.380632	−	0.477298i
$598$	2.55595	−	4.13401i	0.104521	−	0.169052i
$599$	−17.5092	−	13.9631i	−0.715408	−	0.570519i	0.196703	−	0.980463i	$-0.436977\pi$
$599$	−17.5092	−	13.9631i	−0.715408	−	0.570519i	−0.912110	+	0.409945i	$0.865548\pi$
$600$	5.49370	+	0.498246i	0.224279	+	0.0203408i
$601$	27.4156	+	21.8632i	1.11831	+	0.891820i	0.994933	−	0.100540i	$-0.0320571\pi$
$601$	27.4156	+	21.8632i	1.11831	+	0.891820i	0.123374	+	0.992360i	$0.460629\pi$
$602$	6.49574	−	13.1084i	0.264747	−	0.534257i
$603$	−3.46888	+	2.76634i	−0.141264	+	0.112654i
$604$	27.4483	−	0.398084i	1.11686	−	0.0161978i
$605$	15.8430	+	3.61607i	0.644111	+	0.147014i
$606$	−6.56727	−	10.2854i	−0.266777	−	0.417817i
$607$	1.50475			0.0610761			0.0305381	−	0.999534i	$-0.490278\pi$
$607$	1.50475			0.0610761			0.0305381	+	0.999534i	$0.490278\pi$
$608$	1.42638	−	2.46405i	0.0578475	−	0.0999305i
$609$	0.698818	+	7.43833i	0.0283175	+	0.301416i
$610$	−25.7252	−	25.3548i	−1.04158	−	1.02659i
$611$	58.3478	−	13.3175i	2.36050	−	0.538768i
$612$	−2.63966	−	10.8381i	−0.106702	−	0.438106i
$613$	−4.57842	−	5.74115i	−0.184920	−	0.231883i	0.680727	−	0.732537i	$-0.261664\pi$
$613$	−4.57842	−	5.74115i	−0.184920	−	0.231883i	−0.865647	+	0.500655i	$0.833093\pi$
$614$	10.1951	+	10.0483i	0.411441	+	0.405517i
$615$	−5.86069	−	25.6773i	−0.236326	−	1.03541i
$616$	3.61012	−	16.0556i	0.145456	−	0.646898i
$617$	8.25141	−	36.1518i	0.332189	−	1.45542i	−0.482693	−	0.875790i	$-0.660341\pi$
$617$	8.25141	−	36.1518i	0.332189	−	1.45542i	0.814882	−	0.579626i	$-0.196802\pi$
$618$	−5.60020	+	3.57574i	−0.225273	+	0.143837i
$619$	47.8506			1.92328			0.961640	−	0.274315i	$-0.0884511\pi$
$619$	47.8506			1.92328			0.961640	+	0.274315i	$0.0884511\pi$
$620$	15.5401	−	20.0771i	0.624104	−	0.806317i
$621$	0.283353	+	0.588389i	0.0113706	+	0.0236112i
$622$	−20.3496	−	6.95544i	−0.815946	−	0.278888i
$623$	2.09321	−	15.9209i	0.0838627	−	0.637856i
$624$	0.610457	+	21.0414i	0.0244379	+	0.842330i
$625$	6.88654	−	30.1719i	0.275461	−	1.20688i
$626$	48.5974	+	5.11904i	1.94234	+	0.204598i
$627$	−0.480228	−	0.997203i	−0.0191784	−	0.0398244i
$628$	11.1630	+	45.8341i	0.445453	+	1.82898i
$629$	16.8251	−	34.9377i	0.670862	−	1.39306i
$630$	7.64237	+	6.23684i	0.304479	+	0.248482i
$631$	13.4227	+	27.8725i	0.534349	+	1.10959i	0.977068	+	0.212927i	$0.0682998\pi$
$631$	13.4227	+	27.8725i	0.534349	+	1.10959i	−0.442719	+	0.896661i	$0.645986\pi$
$632$	17.3402	+	5.64733i	0.689754	+	0.224639i
$633$	−8.47426	+	1.93419i	−0.336821	+	0.0768773i
$634$	−9.97001	+	1.19662i	−0.395960	+	0.0475239i
$635$	−17.3279	+	21.7285i	−0.687638	+	0.862271i
$636$	−1.36604	+	2.94512i	−0.0541670	+	0.116781i
$637$	24.0192	−	27.9305i	0.951677	−	1.10664i
$638$	−4.72608	−	7.40183i	−0.187107	−	0.293041i
$639$	−12.0375	−	9.59956i	−0.476195	−	0.379753i
$640$	−11.2668	−	27.6169i	−0.445360	−	1.09166i
$641$	3.20364	+	14.0361i	0.126536	+	0.554391i	0.997959	+	0.0638586i	$0.0203407\pi$
$641$	3.20364	+	14.0361i	0.126536	+	0.554391i	−0.871423	+	0.490533i	$0.836802\pi$
$642$	−0.325307	−	2.71039i	−0.0128388	−	0.106971i
$643$	27.4146	−	13.2022i	1.08112	−	0.520642i	0.193448	−	0.981110i	$-0.438033\pi$
$643$	27.4146	−	13.2022i	1.08112	−	0.520642i	0.887676	+	0.460468i	$0.152318\pi$
$644$	−2.45335	+	2.43368i	−0.0966755	+	0.0959005i
$645$	−9.28706	−	4.47241i	−0.365678	−	0.176101i
$646$	1.28399	−	3.75657i	0.0505177	−	0.147800i
$647$	16.4588	−	7.92613i	0.647061	−	0.311608i	−0.0814142	−	0.996680i	$-0.525944\pi$
$647$	16.4588	−	7.92613i	0.647061	−	0.311608i	0.728475	+	0.685072i	$0.240229\pi$
$648$	−2.42706	−	1.45237i	−0.0953440	−	0.0570543i
$649$	32.0564	+	7.31665i	1.25832	+	0.287204i
$650$	−14.4349	−	1.52051i	−0.566184	−	0.0596395i
$651$	12.1006	−	3.98416i	0.474261	−	0.156151i
$652$	−5.94301	−	24.4013i	−0.232746	−	0.955629i
$653$	−30.0688	+	14.4804i	−1.17668	+	0.566660i	−0.916943	−	0.399019i	$-0.869351\pi$
$653$	−30.0688	+	14.4804i	−1.17668	+	0.566660i	−0.259739	+	0.965679i	$0.583636\pi$
$654$	8.63863	+	24.1252i	0.337797	+	0.943370i
$655$			3.64809i			0.142543i
$656$	−30.5071	+	25.8108i	−1.19110	+	1.00774i
$657$	4.16425	+	0.950462i	0.162463	+	0.0370811i
$658$	−42.5491	−	0.479780i	−1.65874	−	0.0187038i
$659$	18.4112	−	4.20223i	0.717198	−	0.163696i	0.151678	−	0.988430i	$-0.451532\pi$
$659$	18.4112	−	4.20223i	0.717198	−	0.163696i	0.565521	+	0.824734i	$0.308675\pi$
$660$	−11.3406	−	2.41594i	−0.441432	−	0.0940405i
$661$	−14.3484	+	11.4425i	−0.558088	+	0.445060i	−0.861470	−	0.507809i	$-0.830456\pi$
$661$	−14.3484	+	11.4425i	−0.558088	+	0.445060i	0.303382	+	0.952869i	$0.401884\pi$
$662$	−1.20558	+	3.52719i	−0.0468563	+	0.137088i
$663$	6.53140	+	28.6159i	0.253658	+	1.11135i
$664$	−6.35137	+	2.37873i	−0.246481	+	0.0923128i
$665$	1.09789	+	3.33451i	0.0425745	+	0.129307i
$666$	−3.31466	−	9.25690i	−0.128441	−	0.358698i
$667$			1.84412i			0.0714046i
$668$	13.5839	−	29.2862i	0.525575	−	1.13312i
$669$	−0.400625	+	1.75525i	−0.0154891	+	0.0678620i
$670$	−8.69916	+	14.0701i	−0.336078	+	0.543575i
$671$	13.2832	+	16.6566i	0.512792	+	0.643020i
$672$	3.07119	−	14.6481i	0.118474	−	0.565064i
$673$	−16.4292	+	20.6016i	−0.633301	+	0.794134i	−0.990147	−	0.140029i	$-0.955280\pi$
$673$	−16.4292	+	20.6016i	−0.633301	+	0.794134i	0.356847	+	0.934163i	$0.383852\pi$
$674$	−1.28142	−	3.57862i	−0.0493583	−	0.137843i
$675$	1.21598	−	1.52480i	0.0468032	−	0.0586894i
$676$	−0.426187	−	29.3860i	−0.0163918	−	1.13023i
$677$	−18.1727	+	14.4922i	−0.698432	+	0.556981i	−0.907053	−	0.421015i	$-0.861674\pi$
$677$	−18.1727	+	14.4922i	−0.698432	+	0.556981i	0.208621	+	0.977996i	$0.433102\pi$
$678$	11.6662	−	1.40021i	0.448039	−	0.0537746i
$679$	−23.8414	−	24.7416i	−0.914949	−	0.949495i
$680$	−22.8877	−	34.7253i	−0.877704	−	1.33165i
$681$	−4.51566	−	2.17463i	−0.173040	−	0.0833319i
$682$	−10.5118	+	10.6654i	−0.402519	+	0.408399i
$683$	6.86777	−	14.2611i	0.262788	−	0.545685i	−0.727269	−	0.686353i	$-0.759211\pi$
$683$	6.86777	−	14.2611i	0.262788	−	0.545685i	0.990057	+	0.140668i	$0.0449250\pi$
$684$	−0.449858	−	0.900496i	−0.0172008	−	0.0344313i
$685$			30.0389i			1.14773i
$686$	−21.2424	+	15.3219i	−0.811039	+	0.584992i
$687$			14.3485i			0.547428i
$688$	0.453550	+	15.6331i	0.0172914	+	0.596005i
$689$	3.70643	−	7.69649i	0.141204	−	0.293213i
$690$	1.73413	+	1.70917i	0.0660173	+	0.0650668i
$691$	−13.9336	−	6.71007i	−0.530060	−	0.255263i	0.149657	−	0.988738i	$-0.452183\pi$
$691$	−13.9336	−	6.71007i	−0.530060	−	0.255263i	−0.679717	+	0.733475i	$0.737897\pi$
$692$	22.2575	−	0.322801i	0.846103	−	0.0122711i
$693$	−4.03719	−	4.18962i	−0.153360	−	0.159151i
$694$	−3.22295	−	26.8530i	−0.122342	−	1.01933i
$695$	−30.4239	+	24.2623i	−1.15404	+	0.920320i
$696$	−4.39539	−	6.66869i	−0.166607	−	0.252776i
$697$	−34.7411	+	43.5640i	−1.31591	+	1.65010i
$698$	−48.0162	+	17.1934i	−1.81744	+	0.650780i
$699$	8.23127	−	10.3217i	0.311335	−	0.390402i
$700$	9.72703	+	3.44764i	0.367647	+	0.130308i
$701$	11.6800	+	14.6462i	0.441146	+	0.553179i	0.951845	−	0.306580i	$-0.0991847\pi$
$701$	11.6800	+	14.6462i	0.441146	+	0.553179i	−0.510699	+	0.859760i	$0.670613\pi$
$702$	6.33019	+	3.91379i	0.238918	+	0.147717i
$703$	0.778663	−	3.41155i	0.0293678	−	0.128669i
$704$	4.65700	+	16.9651i	0.175517	+	0.639396i
$705$			29.9817i			1.12917i
$706$	4.82640	−	1.72821i	0.181644	−	0.0650421i
$707$	−7.13983	−	21.6850i	−0.268521	−	0.815549i
$708$	29.2477	+	6.23079i	1.09920	+	0.234167i
$709$	10.3151	+	45.1935i	0.387393	+	1.69728i	0.673587	+	0.739108i	$0.264753\pi$
$709$	10.3151	+	45.1935i	0.387393	+	1.69728i	−0.286194	+	0.958172i	$0.592390\pi$
$710$	−54.3183	−	18.5658i	−2.03853	−	0.696762i
$711$	5.04094	−	4.02002i	0.189050	−	0.150762i
$712$	6.02087	+	16.0761i	0.225641	+	0.602477i
$713$	3.06574	−	0.699736i	0.114813	−	0.0262053i
$714$	0.235302	−	20.8677i	0.00880595	−	0.780954i
$715$	29.7449	+	6.78909i	1.11240	+	0.253898i
$716$	27.5369	+	12.7725i	1.02910	+	0.477331i
$717$		−	14.9580i		−	0.558616i
$718$	−22.3204	+	7.99237i	−0.832989	+	0.298273i
$719$	−4.46182	+	2.14870i	−0.166398	+	0.0801329i	−0.515229	−	0.857053i	$-0.672293\pi$
$719$	−4.46182	+	2.14870i	−0.166398	+	0.0801329i	0.348831	+	0.937186i	$0.386579\pi$
$720$	−10.3447	−	2.04743i	−0.385524	−	0.0763031i
$721$	−11.8070	+	3.88749i	−0.439717	+	0.144778i
$722$	−2.77728	+	26.3659i	−0.103360	+	0.981239i
$723$	3.74034	+	0.853709i	0.139105	+	0.0317498i
$724$	−30.9148	+	15.4440i	−1.14894	+	0.573972i
$725$	4.96184	−	2.38950i	0.184278	−	0.0887437i
$726$	−8.24873	−	2.81939i	−0.306139	−	0.104637i
$727$	−2.58698	−	1.24582i	−0.0959458	−	0.0462051i	0.385295	−	0.922793i	$-0.374100\pi$
$727$	−2.58698	−	1.24582i	−0.0959458	−	0.0462051i	−0.481241	+	0.876588i	$0.659814\pi$
$728$	−8.63926	+	38.4221i	−0.320192	+	1.42402i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	15.8116	−	1.89774i	0.585212	−	0.0702384i
$731$	4.85262	+	21.2607i	0.179480	+	0.786355i
$732$	12.2991	+	14.9719i	0.454586	+	0.553376i
$733$	12.3074	+	9.81481i	0.454584	+	0.362518i	0.823852	−	0.566804i	$-0.191820\pi$
$733$	12.3074	+	9.81481i	0.454584	+	0.362518i	−0.369269	+	0.929323i	$0.620392\pi$
$734$	23.5811	−	15.0566i	0.870395	−	0.555749i
$735$	10.9637	+	14.8445i	0.404403	+	0.547549i
$736$	1.09295	−	3.52890i	0.0402866	−	0.130077i
$737$	6.08341	−	7.62835i	0.224085	−	0.280994i
$738$	1.68363	+	14.0277i	0.0619753	+	0.516366i
$739$	5.35779	−	1.22288i	0.197090	−	0.0449844i	−0.122837	−	0.992427i	$-0.539199\pi$
$739$	5.35779	−	1.22288i	0.197090	−	0.0449844i	0.319926	+	0.947443i	$0.396342\pi$
$740$	−23.2696	−	28.3266i	−0.855408	−	1.04130i
$741$	1.14922	+	2.38638i	0.0422176	+	0.0876657i
$742$	−3.84016	+	4.70557i	−0.140977	+	0.172747i
$743$	17.1343	−	35.5797i	0.628596	−	1.30529i	−0.306828	−	0.951765i	$-0.599268\pi$
$743$	17.1343	−	35.5797i	0.628596	−	1.30529i	0.935424	−	0.353528i	$-0.115018\pi$
$744$	−9.41852	+	9.83746i	−0.345300	+	0.360659i
$745$	4.34040	+	9.01293i	0.159020	+	0.330208i
$746$	1.64197	−	15.5879i	0.0601167	−	0.570715i
$747$	−0.533577	+	2.33775i	−0.0195226	+	0.0855339i
$748$	10.9629	+	21.9447i	0.400842	+	0.802379i
$749$	0.665727	−	5.06349i	0.0243251	−	0.185016i
$750$	−3.67748	+	10.7593i	−0.134283	+	0.392873i
$751$	−8.83820	−	18.3527i	−0.322511	−	0.669700i	0.675178	−	0.737655i	$-0.264067\pi$
$751$	−8.83820	−	18.3527i	−0.322511	−	0.669700i	−0.997688	+	0.0679550i	$0.978353\pi$
$752$	40.3953	−	20.9176i	1.47307	−	0.762785i
$753$	7.51235			0.273765
$754$	11.3098	+	17.7131i	0.411880	+	0.645072i
$755$	8.05200	−	35.2781i	0.293042	−	1.28390i
$756$	−3.72657	−	3.75668i	−0.135534	−	0.136629i
$757$	−3.16191	−	13.8532i	−0.114922	−	0.503504i	−0.999323	−	0.0367782i	$-0.988291\pi$
$757$	−3.16191	−	13.8532i	−0.114922	−	0.503504i	0.884402	−	0.466726i	$-0.154567\pi$
$758$	−25.3329	+	25.7030i	−0.920133	+	0.933574i
$759$	−0.895418	−	1.12282i	−0.0325016	−	0.0407558i
$760$	−2.71086	−	2.59542i	−0.0983334	−	0.0941457i
$761$	6.24497	−	1.42537i	0.226380	−	0.0516698i	−0.107826	−	0.994170i	$-0.534389\pi$
$761$	6.24497	−	1.42537i	0.226380	−	0.0516698i	0.334206	+	0.942500i	$0.391532\pi$
$762$	10.4651	−	10.6180i	0.379111	−	0.384649i
$763$	4.48417	+	47.7302i	0.162338	+	1.72795i
$764$	−25.2703	+	32.6482i	−0.914248	+	1.18117i
$765$	−14.7041			−0.531629
$766$	−21.3800	+	13.6512i	−0.772491	+	0.493237i
$767$	−76.7131	−	17.5093i	−2.76995	−	0.632223i
$768$	4.45870	+	15.3662i	0.160889	+	0.554480i
$769$	−21.9455	+	17.5010i	−0.791376	+	0.631102i	−0.933431	−	0.358757i	$-0.883201\pi$
$769$	−21.9455	+	17.5010i	−0.791376	+	0.631102i	0.142055	+	0.989859i	$0.454629\pi$
$770$	−19.4368	−	9.63174i	−0.700454	−	0.347104i
$771$	−14.3780	−	11.4661i	−0.517812	−	0.412941i
$772$	−8.88100	−	6.87406i	−0.319634

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)

\(f(q)\)	\(=\)	\(q+(0.148148 - 1.40643i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.95610 - 0.416719i) q^{4} +(-1.14386 + 2.37526i) q^{5} +(0.743705 - 1.20287i) q^{6} +(1.90517 - 1.83585i) q^{7} +(-0.875880 + 2.68939i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(0.148148 - 1.40643i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.95610 - 0.416719i) q^{4} +(-1.14386 + 2.37526i) q^{5} +(0.743705 - 1.20287i) q^{6} +(1.90517 - 1.83585i) q^{7} +(-0.875880 + 2.68939i) q^{8} +(0.623490 + 0.781831i) q^{9} +(3.17118 + 1.96066i) q^{10} +(-1.71931 - 1.37111i) q^{11} +(-1.58158 - 1.22417i) q^{12} +(4.11444 + 3.28115i) q^{13} +(-2.29975 - 2.95146i) q^{14} +(-2.06117 + 1.64373i) q^{15} +(3.65269 + 1.63029i) q^{16} +(5.43764 + 1.24111i) q^{17} +(1.19196 - 0.761070i) q^{18} +0.503306 q^{19} +(3.22734 - 4.16959i) q^{20} +(2.51304 - 0.827423i) q^{21} +(-2.18308 + 2.21497i) q^{22} +(0.636689 - 0.145320i) q^{23} +(-1.95602 + 2.04303i) q^{24} +(-1.21598 - 1.52480i) q^{25} +(5.22427 - 5.30058i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-4.49174 + 2.79720i) q^{28} +(-0.628356 + 2.75301i) q^{29} +(2.00644 + 3.14242i) q^{30} +4.81514 q^{31} +(2.83403 - 4.89574i) q^{32} +(-0.954147 - 1.98131i) q^{33} +(2.55110 - 7.46381i) q^{34} +(2.18137 + 6.62523i) q^{35} +(-0.893807 - 1.78916i) q^{36} +(1.54710 - 6.77828i) q^{37} +(0.0745635 - 0.707865i) q^{38} +(2.28334 + 4.74141i) q^{39} +(-5.38612 - 5.15674i) q^{40} +(-4.33461 + 9.00090i) q^{41} +(-0.791414 - 3.65700i) q^{42} +(1.69645 + 3.52271i) q^{43} +(2.79179 + 3.39850i) q^{44} +(-2.57024 + 0.586641i) q^{45} +(-0.110059 - 0.916989i) q^{46} +(7.09061 - 8.89135i) q^{47} +(2.58360 + 3.05369i) q^{48} +(0.259311 - 6.99520i) q^{49} +(-2.32467 + 1.48430i) q^{50} +(4.36065 + 3.47750i) q^{51} +(-6.68095 - 8.13285i) q^{52} +(-0.361207 - 1.58255i) q^{53} +(1.40414 - 0.168527i) q^{54} +(5.22340 - 2.51546i) q^{55} +(3.26863 + 6.73172i) q^{56} +(0.453463 + 0.218376i) q^{57} +(3.77883 + 1.29159i) q^{58} +(-13.4713 + 6.48743i) q^{59} +(4.71684 - 2.35638i) q^{60} +(-9.44503 - 2.15577i) q^{61} +(0.713351 - 6.77216i) q^{62} +(2.62318 + 0.344885i) q^{63} +(-6.46567 - 4.71117i) q^{64} +(-12.5000 + 6.01966i) q^{65} +(-2.92793 + 1.04842i) q^{66} +4.43686i q^{67} +(-10.1194 - 4.69370i) q^{68} +(0.636689 + 0.145320i) q^{69} +(9.64110 - 2.08644i) q^{70} +(-15.0105 + 3.42604i) q^{71} +(-2.64875 + 0.992019i) q^{72} +(3.33947 - 2.66314i) q^{73} +(-9.30400 - 3.18008i) q^{74} +(-0.433980 - 1.90139i) q^{75} +(-0.984518 - 0.209737i) q^{76} +(-5.79272 + 0.544216i) q^{77} +(7.00674 - 2.50894i) q^{78} -6.44761i q^{79} +(-8.05055 + 6.81125i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(12.0170 + 7.42979i) q^{82} +(1.49505 + 1.87473i) q^{83} +(-5.26057 + 0.571294i) q^{84} +(-9.16787 + 11.4961i) q^{85} +(5.20578 - 1.86406i) q^{86} +(-1.76061 + 2.20774i) q^{87} +(5.19336 - 3.42299i) q^{88} +(4.74517 - 3.78415i) q^{89} +(0.444296 + 3.70178i) q^{90} +(13.8624 - 1.30235i) q^{91} +(-1.30599 + 0.0189408i) q^{92} +(4.33829 + 2.08921i) q^{93} +(-11.4546 - 11.2897i) q^{94} +(-0.575714 + 1.19548i) q^{95} +(4.67756 - 3.18127i) q^{96} -12.9866i q^{97} +(-9.79985 - 1.40102i) q^{98} -2.19908i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

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