LMFDB - Embedded newform 483.2.r.a.34.14

Newspace parameters

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.r (of order $22$, degree $10$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$32$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			34.14
Character	$\chi$	$=$	483.34
Dual form			483.2.r.a.412.14

$q$-expansion

$f(q)$	$=$	$q+(-0.795109 + 0.510986i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.459738 + 1.00669i) q^{4} +(-1.49456 + 0.438843i) q^{5} +(-0.859737 + 0.392629i) q^{6} +(-2.64381 - 0.101346i) q^{7} +(-0.417877 - 2.90640i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})$	\(q+(-0.795109 + 0.510986i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.459738 + 1.00669i) q^{4} +(-1.49456 + 0.438843i) q^{5} +(-0.859737 + 0.392629i) q^{6} +(-2.64381 - 0.101346i) q^{7} +(-0.417877 - 2.90640i) q^{8} +(0.959493 + 0.281733i) q^{9} +(0.964098 - 1.11263i) q^{10} +(-0.572532 + 0.890878i) q^{11} +(-0.598324 + 0.931011i) q^{12} +(-0.623842 - 0.540562i) q^{13} +(2.15390 - 1.27037i) q^{14} +(-1.54180 + 0.221678i) q^{15} +(0.367925 + 0.424608i) q^{16} +(-2.42411 - 5.30805i) q^{17} +(-0.906863 + 0.266279i) q^{18} +(0.166950 - 0.365570i) q^{19} +(0.245330 - 1.70631i) q^{20} +(-2.60248 - 0.476568i) q^{21} -1.00090i q^{22} +(-3.24202 - 3.53402i) q^{23} -2.93629i q^{24} +(-2.16514 + 1.39145i) q^{25} +(0.772242 + 0.111032i) q^{26} +(0.909632 + 0.415415i) q^{27} +(1.31748 - 2.61489i) q^{28} +(-0.929966 - 2.03634i) q^{29} +(1.11263 - 0.964098i) q^{30} +(6.11805 - 0.879642i) q^{31} +(5.12518 + 1.50489i) q^{32} +(-0.693490 + 0.800330i) q^{33} +(4.63977 + 2.98180i) q^{34} +(3.99581 - 1.00875i) q^{35} +(-0.724731 + 0.836384i) q^{36} +(-3.05924 + 10.4188i) q^{37} +(0.0540574 + 0.375978i) q^{38} +(-0.540562 - 0.623842i) q^{39} +(1.90000 + 4.16041i) q^{40} +(-3.48835 - 11.8802i) q^{41} +(2.31277 - 0.950904i) q^{42} +(-11.9776 - 1.72211i) q^{43} +(-0.633619 - 0.985930i) q^{44} -1.55766 q^{45} +(4.38360 + 1.15331i) q^{46} +4.76463i q^{47} +(0.303752 + 0.472647i) q^{48} +(6.97946 + 0.535881i) q^{49} +(1.01051 - 2.21271i) q^{50} +(-1.64402 - 5.59901i) q^{51} +(0.830979 - 0.379495i) q^{52} +(-4.79415 + 4.15415i) q^{53} +(-0.935528 + 0.134509i) q^{54} +(0.464730 - 1.58272i) q^{55} +(0.810235 + 7.72632i) q^{56} +(0.217277 - 0.338090i) q^{57} +(1.77997 + 1.14391i) q^{58} +(-4.32793 - 3.75017i) q^{59} +(0.485665 - 1.65402i) q^{60} +(1.11823 + 7.77749i) q^{61} +(-4.41503 + 3.82565i) q^{62} +(-2.50816 - 0.842088i) q^{63} +(-5.92222 + 1.73892i) q^{64} +(1.16959 + 0.534135i) q^{65} +(0.142443 - 0.990713i) q^{66} +(0.784651 + 1.22094i) q^{67} +6.45799 q^{68} +(-2.70608 - 3.95944i) q^{69} +(-2.66165 + 2.84387i) q^{70} +(8.54463 - 5.49130i) q^{71} +(0.417877 - 2.90640i) q^{72} +(-13.8221 - 6.31233i) q^{73} +(-2.89144 - 9.84734i) q^{74} +(-2.34112 + 1.06915i) q^{75} +(0.291261 + 0.336133i) q^{76} +(1.60395 - 2.29729i) q^{77} +(0.748580 + 0.219803i) q^{78} +(1.45453 + 1.26036i) q^{79} +(-0.736223 - 0.473142i) q^{80} +(0.841254 + 0.540641i) q^{81} +(8.84424 + 7.66358i) q^{82} +(-4.40875 - 1.29453i) q^{83} +(1.67621 - 2.40078i) q^{84} +(5.95238 + 6.86941i) q^{85} +(10.4035 - 4.75110i) q^{86} +(-0.630698 - 2.14796i) q^{87} +(2.82849 + 1.29173i) q^{88} +(-1.25773 + 8.74770i) q^{89} +(1.23851 - 0.795941i) q^{90} +(1.59453 + 1.49237i) q^{91} +(5.04812 - 1.63897i) q^{92} +6.18096 q^{93} +(-2.43466 - 3.78840i) q^{94} +(-0.0890897 + 0.619633i) q^{95} +(4.85885 + 2.21896i) q^{96} +(-4.81079 + 1.41258i) q^{97} +(-5.82326 + 3.14032i) q^{98} +(-0.800330 + 0.693490i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.795109	+	0.510986i	−0.562227	+	0.361321i	−0.790676	−	0.612234i	$-0.790271\pi$
$2$	−0.795109	+	0.510986i	−0.562227	+	0.361321i	0.228449	+	0.973556i	$0.426635\pi$
$3$	0.989821	+	0.142315i	0.571474	+	0.0821655i
$3$	0.989821	+	0.142315i	0.571474	+	0.0821655i
$4$	−0.459738	+	1.00669i	−0.229869	+	0.503343i
$5$	−1.49456	+	0.438843i	−0.668388	+	0.196257i	−0.598285	−	0.801283i	$-0.704151\pi$
$5$	−1.49456	+	0.438843i	−0.668388	+	0.196257i	−0.0701032	+	0.997540i	$0.522333\pi$
$6$	−0.859737	+	0.392629i	−0.350986	+	0.160290i
$7$	−2.64381	−	0.101346i	−0.999266	−	0.0383053i
$7$	−2.64381	−	0.101346i	−0.999266	−	0.0383053i
$8$	−0.417877	−	2.90640i	−0.147742	−	1.02757i
$9$	0.959493	+	0.281733i	0.319831	+	0.0939109i
$10$	0.964098	−	1.11263i	0.304874	−	0.351844i
$11$	−0.572532	+	0.890878i	−0.172625	+	0.268610i	−0.916776	−	0.399402i	$-0.869218\pi$
$11$	−0.572532	+	0.890878i	−0.172625	+	0.268610i	0.744151	+	0.668011i	$0.232854\pi$
$12$	−0.598324	+	0.931011i	−0.172721	+	0.268760i
$13$	−0.623842	−	0.540562i	−0.173023	−	0.149925i	0.564045	−	0.825744i	$-0.309245\pi$
$13$	−0.623842	−	0.540562i	−0.173023	−	0.149925i	−0.737067	+	0.675819i	$0.763790\pi$
$14$	2.15390	−	1.27037i	0.575655	−	0.339520i
$15$	−1.54180	+	0.221678i	−0.398092	+	0.0572370i
$16$	0.367925	+	0.424608i	0.0919812	+	0.106152i
$17$	−2.42411	−	5.30805i	−0.587932	−	1.28739i	−0.936684	−	0.350176i	$-0.886122\pi$
$17$	−2.42411	−	5.30805i	−0.587932	−	1.28739i	0.348752	−	0.937215i	$-0.386606\pi$
$18$	−0.906863	+	0.266279i	−0.213750	+	0.0627626i
$19$	0.166950	−	0.365570i	0.0383011	−	0.0838676i	−0.889514	−	0.456907i	$-0.848957\pi$
$19$	0.166950	−	0.365570i	0.0383011	−	0.0838676i	0.927815	+	0.373040i	$0.121684\pi$
$20$	0.245330	−	1.70631i	0.0548574	−	0.381542i
$21$	−2.60248	−	0.476568i	−0.567907	−	0.103996i
$22$		−	1.00090i		−	0.213393i
$23$	−3.24202	−	3.53402i	−0.676008	−	0.736894i
$23$	−3.24202	−	3.53402i	−0.676008	−	0.736894i
$24$		−	2.93629i		−	0.599367i
$25$	−2.16514	+	1.39145i	−0.433027	+	0.278290i
$26$	0.772242	+	0.111032i	0.151449	+	0.0217751i
$27$	0.909632	+	0.415415i	0.175059	+	0.0799467i
$28$	1.31748	−	2.61489i	0.248981	−	0.494168i
$29$	−0.929966	−	2.03634i	−0.172690	−	0.378139i	0.803421	−	0.595412i	$-0.203011\pi$
$29$	−0.929966	−	2.03634i	−0.172690	−	0.378139i	−0.976111	+	0.217273i	$0.930284\pi$
$30$	1.11263	−	0.964098i	0.203137	−	0.176019i
$31$	6.11805	−	0.879642i	1.09883	−	0.157988i	0.431038	−	0.902334i	$-0.358147\pi$
$31$	6.11805	−	0.879642i	1.09883	−	0.157988i	0.667795	+	0.744345i	$0.267238\pi$
$32$	5.12518	+	1.50489i	0.906013	+	0.266029i
$33$	−0.693490	+	0.800330i	−0.120721	+	0.139320i
$34$	4.63977	+	2.98180i	0.795713	+	0.511374i
$35$	3.99581	−	1.00875i	0.675416	−	0.170510i
$36$	−0.724731	+	0.836384i	−0.120788	+	0.139397i
$37$	−3.05924	+	10.4188i	−0.502937	+	1.71284i	0.181161	+	0.983454i	$0.442015\pi$
$37$	−3.05924	+	10.4188i	−0.502937	+	1.71284i	−0.684097	+	0.729391i	$0.739804\pi$
$38$	0.0540574	+	0.375978i	0.00876928	+	0.0609917i
$39$	−0.540562	−	0.623842i	−0.0865592	−	0.0998946i
$40$	1.90000	+	4.16041i	0.300416	+	0.657819i
$41$	−3.48835	−	11.8802i	−0.544788	−	1.85538i	−0.517382	−	0.855754i	$-0.673094\pi$
$41$	−3.48835	−	11.8802i	−0.544788	−	1.85538i	−0.0274059	−	0.999624i	$-0.508725\pi$
$42$	2.31277	−	0.950904i	0.356869	−	0.146728i
$43$	−11.9776	−	1.72211i	−1.82656	−	0.262620i	−0.858406	−	0.512970i	$-0.828545\pi$
$43$	−11.9776	−	1.72211i	−1.82656	−	0.262620i	−0.968155	+	0.250350i	$0.919454\pi$
$44$	−0.633619	−	0.985930i	−0.0955216	−	0.148634i
$45$	−1.55766			−0.232202
$46$	4.38360	+	1.15331i	0.646326	+	0.170046i
$47$			4.76463i			0.694992i	0.937681	+	0.347496i	$0.112968\pi$
$47$			4.76463i			0.694992i	−0.937681	+	0.347496i	$0.887032\pi$
$48$	0.303752	+	0.472647i	0.0438428	+	0.0682208i
$49$	6.97946	+	0.535881i	0.997065	+	0.0765544i
$50$	1.01051	−	2.21271i	0.142908	−	0.312924i
$51$	−1.64402	−	5.59901i	−0.230208	−	0.784018i
$52$	0.830979	−	0.379495i	0.115236	−	0.0526265i
$53$	−4.79415	+	4.15415i	−0.658527	+	0.570617i	−0.918705	−	0.394944i	$-0.870764\pi$
$53$	−4.79415	+	4.15415i	−0.658527	+	0.570617i	0.260179	+	0.965561i	$0.416219\pi$
$54$	−0.935528	+	0.134509i	−0.127309	+	0.0183043i
$55$	0.464730	−	1.58272i	0.0626641	−	0.213414i
$56$	0.810235	+	7.72632i	0.108272	+	1.03247i
$57$	0.217277	−	0.338090i	0.0287791	−	0.0447811i
$58$	1.77997	+	1.14391i	0.233721	+	0.150203i
$59$	−4.32793	−	3.75017i	−0.563448	−	0.488231i	0.325936	−	0.945392i	$-0.394321\pi$
$59$	−4.32793	−	3.75017i	−0.563448	−	0.488231i	−0.889384	+	0.457161i	$0.848866\pi$
$60$	0.485665	−	1.65402i	0.0626991	−	0.213534i
$61$	1.11823	+	7.77749i	0.143175	+	0.995805i	0.927064	+	0.374904i	$0.122324\pi$
$61$	1.11823	+	7.77749i	0.143175	+	0.995805i	−0.783888	+	0.620902i	$0.786767\pi$
$62$	−4.41503	+	3.82565i	−0.560709	+	0.485857i
$63$	−2.50816	−	0.842088i	−0.315999	−	0.106093i
$64$	−5.92222	+	1.73892i	−0.740277	+	0.217365i
$65$	1.16959	+	0.534135i	0.145070	+	0.0662513i
$66$	0.142443	−	0.990713i	0.0175335	−	0.121948i
$67$	0.784651	+	1.22094i	0.0958603	+	0.149162i	0.885871	−	0.463931i	$-0.153562\pi$
$67$	0.784651	+	1.22094i	0.0958603	+	0.149162i	−0.790011	+	0.613093i	$0.789925\pi$
$68$	6.45799			0.783146
$69$	−2.70608	−	3.95944i	−0.325774	−	0.476660i
$70$	−2.66165	+	2.84387i	−0.318128	+	0.339907i
$71$	8.54463	−	5.49130i	1.01406	−	0.651697i	0.0756198	−	0.997137i	$-0.475906\pi$
$71$	8.54463	−	5.49130i	1.01406	−	0.651697i	0.938441	+	0.345439i	$0.112270\pi$
$72$	0.417877	−	2.90640i	0.0492473	−	0.342523i
$73$	−13.8221	−	6.31233i	−1.61775	−	0.738802i	−0.618842	−	0.785515i	$-0.712398\pi$
$73$	−13.8221	−	6.31233i	−1.61775	−	0.738802i	−0.998908	+	0.0467134i	$0.985125\pi$
$74$	−2.89144	−	9.84734i	−0.336123	−	1.14473i
$75$	−2.34112	+	1.06915i	−0.270329	+	0.123455i
$76$	0.291261	+	0.336133i	0.0334099	+	0.0385571i
$77$	1.60395	−	2.29729i	0.182787	−	0.261800i
$78$	0.748580	+	0.219803i	0.0847600	+	0.0248878i
$79$	1.45453	+	1.26036i	0.163647	+	0.141801i	0.732835	−	0.680406i	$-0.238197\pi$
$79$	1.45453	+	1.26036i	0.163647	+	0.141801i	−0.569188	+	0.822208i	$0.692742\pi$
$80$	−0.736223	−	0.473142i	−0.0823122	−	0.0528989i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	8.84424	+	7.66358i	0.976683	+	0.846301i
$83$	−4.40875	−	1.29453i	−0.483923	−	0.142093i	0.0306656	−	0.999530i	$-0.490237\pi$
$83$	−4.40875	−	1.29453i	−0.483923	−	0.142093i	−0.514589	+	0.857437i	$0.672055\pi$
$84$	1.67621	−	2.40078i	0.182890	−	0.261946i
$85$	5.95238	+	6.86941i	0.645626	+	0.745092i
$86$	10.4035	−	4.75110i	1.12183	−	0.512324i
$87$	−0.630698	−	2.14796i	−0.0676180	−	0.230286i
$88$	2.82849	+	1.29173i	0.301519	+	0.137699i
$89$	−1.25773	+	8.74770i	−0.133319	+	0.927254i	0.807867	+	0.589365i	$0.200622\pi$
$89$	−1.25773	+	8.74770i	−0.133319	+	0.927254i	−0.941186	+	0.337889i	$0.890287\pi$
$90$	1.23851	−	0.795941i	0.130550	−	0.0838996i
$91$	1.59453	+	1.49237i	0.167153	+	0.156443i
$92$	5.04812	−	1.63897i	0.526303	−	0.170875i
$93$	6.18096			0.640936
$94$	−2.43466	−	3.78840i	−0.251116	−	0.390744i
$95$	−0.0890897	+	0.619633i	−0.00914042	+	0.0635730i
$96$	4.85885	+	2.21896i	0.495904	+	0.226472i
$97$	−4.81079	+	1.41258i	−0.488462	+	0.143425i	−0.516684	−	0.856176i	$-0.672834\pi$
$97$	−4.81079	+	1.41258i	−0.488462	+	0.143425i	0.0282218	+	0.999602i	$0.491016\pi$
$98$	−5.82326	+	3.14032i	−0.588238	+	0.317220i
$99$	−0.800330	+	0.693490i	−0.0804362	+	0.0696984i
$100$	−0.405356	−	2.81931i	−0.0405356	−	0.281931i
$101$	−3.57035	+	12.1595i	−0.355263	+	1.20991i	0.567119	+	0.823636i	$0.308058\pi$
$101$	−3.57035	+	12.1595i	−0.355263	+	1.20991i	−0.922382	+	0.386278i	$0.873760\pi$
$102$	4.16819	+	3.61175i	0.412712	+	0.357617i
$103$	1.10932	+	0.712920i	0.109305	+	0.0702461i	0.594151	−	0.804353i	$-0.297488\pi$
$103$	1.10932	+	0.712920i	0.109305	+	0.0702461i	−0.484846	+	0.874599i	$0.661124\pi$
$104$	−1.31040	+	2.03902i	−0.128495	+	0.199943i
$105$	4.09870	−	0.429818i	0.399992	−	0.0419459i
$106$	1.68916	−	5.75274i	0.164066	−	0.558756i
$107$	−13.3226	+	1.91551i	−1.28795	+	0.185179i	−0.752051	−	0.659104i	$-0.770935\pi$
$107$	−13.3226	+	1.91551i	−1.28795	+	0.185179i	−0.535897	+	0.844283i	$0.680026\pi$
$108$	−0.836384	+	0.724731i	−0.0804811	+	0.0697373i
$109$	7.36542	−	3.36368i	0.705480	−	0.322182i	−0.0301692	−	0.999545i	$-0.509605\pi$
$109$	7.36542	−	3.36368i	0.705480	−	0.322182i	0.735649	+	0.677363i	$0.236877\pi$
$110$	0.439238	+	1.49591i	0.0418797	+	0.142629i
$111$	−4.51086	+	9.87740i	−0.428152	+	0.937522i
$112$	−0.929691	−	1.15987i	−0.0878475	−	0.109597i
$113$	3.83446	+	5.96654i	0.360716	+	0.561285i	0.973420	−	0.229027i	$-0.0735545\pi$
$113$	3.83446	+	5.96654i	0.360716	+	0.561285i	−0.612704	+	0.790313i	$0.709918\pi$
$114$			0.379844i			0.0355757i
$115$	6.39628	+	3.85907i	0.596456	+	0.359860i
$116$	2.47749			0.230030
$117$	−0.446278	−	0.694422i	−0.0412584	−	0.0641993i
$118$	5.35746	+	0.770286i	0.493194	+	0.0709106i
$119$	5.87092	+	14.2791i	0.538186	+	1.30897i
$120$	1.28857	+	4.38846i	0.117630	+	0.400610i
$121$	4.10370	+	8.98584i	0.373063	+	0.816894i
$122$	−4.86330	−	5.61255i	−0.440303	−	0.508137i
$123$	−1.76211	−	12.2557i	−0.158884	−	1.10506i
$124$	−1.92717	+	6.56335i	−0.173065	+	0.589406i
$125$	7.72555	−	8.91576i	0.690994	−	0.797450i
$126$	2.42456	−	0.612084i	0.215997	−	0.0545288i
$127$	15.1987	+	9.76761i	1.34867	+	0.866735i	0.997575	−	0.0696058i	$-0.0221741\pi$
$127$	15.1987	+	9.76761i	1.34867	+	0.866735i	0.351092	+	0.936341i	$0.385811\pi$
$128$	−3.17570	+	3.66496i	−0.280695	+	0.323939i
$129$	−11.6106	−	3.40917i	−1.02225	−	0.300161i
$130$	−1.20289	+	0.172949i	−0.105500	+	0.0151687i
$131$	−10.9999	+	9.53145i	−0.961064	+	0.832767i	−0.985970	−	0.166923i	$-0.946617\pi$
$131$	−10.9999	+	9.53145i	−0.961064	+	0.832767i	0.0249060	+	0.999690i	$0.492071\pi$
$132$	−0.486857	−	1.06607i	−0.0423754	−	0.0927893i
$133$	−0.478434	+	0.949579i	−0.0414855	+	0.0823389i
$134$	−1.24777	−	0.569836i	−0.107791	−	0.0492263i
$135$	−1.54180	−	0.221678i	−0.132697	−	0.0190790i
$136$	−14.4143	+	9.26353i	−1.23602	+	0.794341i
$137$			13.6523i			1.16639i	0.812331	+	0.583196i	$0.198198\pi$
$137$			13.6523i			1.16639i	−0.812331	+	0.583196i	$0.801802\pi$
$138$	4.17484	+	1.76542i	0.355386	+	0.150282i
$139$		−	9.52668i		−	0.808043i	−0.914750	−	0.404021i	$-0.867612\pi$
$139$		−	9.52668i		−	0.808043i	0.914750	−	0.404021i	$-0.132388\pi$
$140$	−0.821533	+	4.48628i	−0.0694322	+	0.379160i
$141$	−0.678077	+	4.71613i	−0.0571044	+	0.397170i
$142$	−3.98794	+	8.73237i	−0.334660	+	0.732804i
$143$	0.838744	−	0.246277i	0.0701393	−	0.0205948i
$144$	0.233396	+	0.511065i	0.0194496	+	0.0425887i
$145$	2.28352	+	2.63533i	0.189636	+	0.218852i
$146$	14.2156	−	2.04389i	1.17649	−	0.169153i
$147$	6.83215	+	1.52371i	0.563506	+	0.125673i
$148$	−9.08203	−	7.86962i	−0.746538	−	0.646879i
$149$	9.93721	−	15.4626i	0.814088	−	1.26675i	−0.146622	−	0.989193i	$-0.546840\pi$
$149$	9.93721	−	15.4626i	0.814088	−	1.26675i	0.960710	−	0.277554i	$-0.0895236\pi$
$150$	1.31512	−	2.04637i	0.107379	−	0.167086i
$151$	−4.25045	+	4.90528i	−0.345897	+	0.399186i	−0.901865	−	0.432017i	$-0.857802\pi$
$151$	−4.25045	+	4.90528i	−0.345897	+	0.399186i	0.555969	+	0.831203i	$0.312347\pi$
$152$	−1.13226	−	0.332461i	−0.0918383	−	0.0269662i
$153$	−0.830461	−	5.77599i	−0.0671388	−	0.466961i
$154$	−0.101438	+	2.64619i	−0.00817408	+	0.213236i
$155$	−8.75777	+	3.99954i	−0.703441	+	0.321251i
$156$	0.876529	−	0.257372i	0.0701785	−	0.0206063i
$157$	4.71456	−	10.3235i	0.376263	−	0.823901i	−0.622872	−	0.782324i	$-0.714034\pi$
$157$	4.71456	−	10.3235i	0.376263	−	0.823901i	0.999135	−	0.0415777i	$-0.0132384\pi$
$158$	−1.80053	−	0.258878i	−0.143243	−	0.0205952i
$159$	−5.33655	+	3.42959i	−0.423216	+	0.271984i
$160$	−8.32032			−0.657779
$161$	8.21313	+	9.67184i	0.647285	+	0.762248i
$162$	−0.945148			−0.0742579
$163$	9.93087	−	6.38218i	0.777846	−	0.499891i	−0.0904723	−	0.995899i	$-0.528838\pi$
$163$	9.93087	−	6.38218i	0.777846	−	0.499891i	0.868318	+	0.496008i	$0.165201\pi$
$164$	13.5634	+	1.95012i	1.05912	+	0.152279i
$165$	0.685244	−	1.50048i	0.0533462	−	0.116812i
$166$	4.16692	−	1.22352i	0.323416	−	0.0949635i
$167$	−1.56423	+	0.714359i	−0.121044	+	0.0552787i	−0.475016	−	0.879977i	$-0.657558\pi$
$167$	−1.56423	+	0.714359i	−0.121044	+	0.0552787i	0.353973	+	0.935256i	$0.384831\pi$
$168$	−0.297582	+	7.76298i	−0.0229590	+	0.598927i
$169$	−1.75312	−	12.1932i	−0.134856	−	0.937941i
$170$	−8.24296	−	2.42035i	−0.632206	−	0.185632i
$171$	0.263181	−	0.303727i	0.0201259	−	0.0232266i
$172$	7.24016	−	11.2659i	0.552057	−	0.859018i
$173$	0.0274912	−	0.0427771i	0.00209011	−	0.00325228i	−0.840207	−	0.542266i	$-0.817567\pi$
$173$	0.0274912	−	0.0427771i	0.00209011	−	0.00325228i	0.842297	+	0.539014i	$0.181203\pi$
$174$	1.59905	+	1.38559i	0.121224	+	0.105041i
$175$	5.86522	−	3.45929i	0.443369	−	0.261498i
$176$	−0.588923	+	0.0846743i	−0.0443917	+	0.00638257i
$177$	−3.75017	−	4.32793i	−0.281880	−	0.325307i
$178$	−3.46992	−	7.59806i	−0.260081	−	0.569499i
$179$	−12.1769	+	3.57546i	−0.910144	+	0.267242i	−0.703101	−	0.711090i	$-0.748202\pi$
$179$	−12.1769	+	3.57546i	−0.910144	+	0.267242i	−0.207042	+	0.978332i	$0.566384\pi$
$180$	0.716114	−	1.56807i	0.0533760	−	0.116877i
$181$	−1.74477	+	12.1351i	−0.129688	+	0.901997i	0.816262	+	0.577682i	$0.196043\pi$
$181$	−1.74477	+	12.1351i	−0.129688	+	0.901997i	−0.945949	+	0.324314i	$0.894866\pi$
$182$	−2.03041	−	0.371810i	−0.150504	−	0.0275604i
$183$			7.85747i			0.580841i
$184$	−8.91651	+	10.8994i	−0.657334	+	0.803514i
$185$		−	16.9141i		−	1.24355i
$186$	−4.91454	+	3.15838i	−0.360351	+	0.231584i
$187$	6.11670	+	0.879449i	0.447298	+	0.0643117i
$188$	−4.79648	−	2.19048i	−0.349819	−	0.159757i
$189$	−2.36279	−	1.19047i	−0.171868	−	0.0865937i
$190$	−0.245787	−	0.538199i	−0.0178313	−	0.0390451i
$191$	6.41247	−	5.55644i	0.463990	−	0.402050i	−0.391248	−	0.920285i	$-0.627956\pi$
$191$	6.41247	−	5.55644i	0.463990	−	0.402050i	0.855238	+	0.518236i	$0.173411\pi$
$192$	−6.10941	+	0.878401i	−0.440909	+	0.0633931i
$193$	−5.66336	−	1.66291i	−0.407657	−	0.119699i	0.0714735	−	0.997442i	$-0.477230\pi$
$193$	−5.66336	−	1.66291i	−0.407657	−	0.119699i	−0.479131	+	0.877744i	$0.659048\pi$
$194$	3.10330	−	3.58140i	0.222804	−	0.257129i
$195$	1.08167	+	0.695148i	0.0774601	+	0.0497806i
$196$	−3.74818	+	6.77975i	−0.267727	+	0.484268i
$197$	−0.684320	+	0.789748i	−0.0487558	+	0.0562672i	−0.779604	−	0.626273i	$-0.784579\pi$
$197$	−0.684320	+	0.789748i	−0.0487558	+	0.0562672i	0.730848	+	0.682540i	$0.239125\pi$
$198$	0.281986	−	0.960357i	0.0200399	−	0.0682496i
$199$	−3.13182	−	21.7823i	−0.222009	−	1.54410i	−0.730426	−	0.682992i	$-0.760678\pi$
$199$	−3.13182	−	21.7823i	−0.222009	−	1.54410i	0.508417	−	0.861111i	$-0.330231\pi$
$200$	4.94886	+	5.71129i	0.349938	+	0.403850i
$201$	0.602906	+	1.32018i	0.0425257	+	0.0931183i
$202$	−3.37451	−	11.4925i	−0.237430	−	0.808611i
$203$	2.25228	+	5.47795i	0.158079	+	0.384476i
$204$	6.39225	+	0.919067i	0.447547	+	0.0643476i
$205$	10.4271	+	16.2249i	0.728260	+	1.13320i
$206$	−1.24633			−0.0868357
$207$	−2.11505	−	4.30425i	−0.147006	−	0.299166i
$208$		−	0.463774i		−	0.0321570i
$209$	0.230094	+	0.358033i	0.0159159	+	0.0247657i
$210$	−3.03928	+	2.43613i	−0.209731	+	0.168109i
$211$	2.24439	−	4.91453i	0.154510	−	0.338330i	−0.816509	−	0.577333i	$-0.804093\pi$
$211$	2.24439	−	4.91453i	0.154510	−	0.338330i	0.971019	+	0.239003i	$0.0768206\pi$
$212$	−1.97787	−	6.73601i	−0.135841	−	0.462631i
$213$	9.23915	−	4.21938i	0.633056	−	0.289107i
$214$	9.61416	−	8.33072i	0.657210	−	0.569476i
$215$	18.6570	−	2.68246i	1.27239	−	0.182943i
$216$	0.827248	−	2.81735i	0.0562871	−	0.191696i
$217$	−16.2641	+	1.70556i	−1.10408	+	0.115781i
$218$	−4.13753	+	6.43812i	−0.280229	+	0.436044i
$219$	−12.7830	−	8.21516i	−0.863798	−	0.555129i
$220$	1.37965	+	1.19547i	0.0930160	+	0.0805988i
$221$	−1.35707	+	4.62176i	−0.0912865	+	0.310893i
$222$	−1.46059	−	10.1586i	−0.0980281	−	0.681800i
$223$	14.9294	−	12.9364i	0.999749	−	0.866287i	0.00872368	−	0.999962i	$-0.497223\pi$
$223$	14.9294	−	12.9364i	0.999749	−	0.866287i	0.991025	+	0.133675i	$0.0426777\pi$
$224$	−13.3975	−	4.49806i	−0.895158	−	0.300539i
$225$	−2.46945	+	0.725095i	−0.164630	+	0.0483397i
$226$	−6.09764	−	2.78470i	−0.405609	−	0.185235i
$227$	0.701231	−	4.87717i	0.0465423	−	0.323709i	−0.953227	−	0.302254i	$-0.902261\pi$
$227$	0.701231	−	4.87717i	0.0465423	−	0.323709i	0.999770	−	0.0214552i	$-0.00682994\pi$
$228$	0.240460	+	0.374162i	0.0159248	+	0.0247795i
$229$	−20.9952			−1.38740			−0.693702	−	0.720262i	$-0.744022\pi$
$229$	−20.9952			−1.38740			−0.693702	+	0.720262i	$0.744022\pi$
$230$	−7.05767	+	0.200023i	−0.465369	+	0.0131892i
$231$	1.91457	−	2.04564i	0.125969	−	0.134593i
$232$	−5.52981	+	3.55379i	−0.363050	+	0.233318i
$233$	1.19941	−	8.34209i	0.0785760	−	0.546508i	−0.912068	−	0.410038i	$-0.865515\pi$
$233$	1.19941	−	8.34209i	0.0785760	−	0.546508i	0.990644	−	0.136470i	$-0.0435756\pi$
$234$	0.709679	+	0.324100i	0.0463932	+	0.0211871i
$235$	−2.09092	−	7.12103i	−0.136397	−	0.464525i
$236$	5.76495	−	2.63277i	0.375266	−	0.171378i
$237$	1.26036	+	1.45453i	0.0818690	+	0.0944818i
$238$	−11.9645	−	8.35353i	−0.775541	−	0.541479i
$239$	−1.78705	−	0.524725i	−0.115595	−	0.0339416i	0.223424	−	0.974721i	$-0.428277\pi$
$239$	−1.78705	−	0.524725i	−0.115595	−	0.0339416i	−0.339018	+	0.940780i	$0.610095\pi$
$240$	−0.661394	−	0.573101i	−0.0426928	−	0.0369935i
$241$	7.83054	+	5.03239i	0.504410	+	0.324164i	0.767978	−	0.640476i	$-0.221263\pi$
$241$	7.83054	+	5.03239i	0.504410	+	0.324164i	−0.263568	+	0.964641i	$0.584899\pi$
$242$	−7.85452	−	5.04779i	−0.504908	−	0.324485i
$243$	0.755750	+	0.654861i	0.0484814	+	0.0420093i
$244$	−8.34358	−	2.44990i	−0.534143	−	0.156838i
$245$	−10.6664	+	2.26198i	−0.681451	+	0.144513i
$246$	7.66358	+	8.84424i	0.488612	+	0.563888i
$247$	−0.301764	+	0.137811i	−0.0192008	+	0.00876871i
$248$	−5.11318	−	17.4139i	−0.324688	−	1.10578i
$249$	−4.17965	−	1.90878i	−0.264874	−	0.120964i
$250$	−1.58683	+	11.0366i	−0.100360	+	0.698019i
$251$	3.83302	−	2.46333i	0.241938	−	0.155484i	−0.414053	−	0.910253i	$-0.635887\pi$
$251$	3.83302	−	2.46333i	0.241938	−	0.155484i	0.655991	+	0.754769i	$0.272251\pi$
$252$	2.00082	−	2.13779i	0.126040	−	0.134668i
$253$	5.00454	−	0.864904i	0.314633	−	0.0543760i
$254$	−17.0757			−1.07143
$255$	4.91417	+	7.64660i	0.307737	+	0.478849i
$256$	2.40909	−	16.7556i	0.150568	−	1.04723i
$257$	−3.46291	−	1.58146i	−0.216011	−	0.0986487i	0.304471	−	0.952522i	$-0.401520\pi$
$257$	−3.46291	−	1.58146i	−0.216011	−	0.0986487i	−0.520482	+	0.853873i	$0.674248\pi$
$258$	10.9737	−	3.22217i	0.683193	−	0.200604i
$259$	9.14397	−	27.2353i	0.568178	−	1.69232i
$260$	−1.07541	+	0.931849i	−0.0666942	+	0.0577908i
$261$	−0.318592	−	2.21586i	−0.0197203	−	0.137158i
$262$	3.87567	−	13.1993i	0.239440	−	0.815457i
$263$	−6.17816	−	5.35341i	−0.380962	−	0.330105i	0.443238	−	0.896404i	$-0.353829\pi$
$263$	−6.17816	−	5.35341i	−0.380962	−	0.330105i	−0.824200	+	0.566299i	$0.808375\pi$
$264$	2.61587	+	1.68112i	0.160996	+	0.103466i
$265$	5.34213	−	8.31251i	0.328164	−	0.510634i
$266$	−0.104814	−	0.999492i	−0.00642653	−	0.0612828i
$267$	−2.48986	+	8.47967i	−0.152377	+	0.518947i
$268$	−1.58984	+	0.228584i	−0.0971147	+	0.0139630i
$269$	−11.3787	+	9.85968i	−0.693770	+	0.601155i	−0.928689	−	0.370860i	$-0.879063\pi$
$269$	−11.3787	+	9.85968i	−0.693770	+	0.601155i	0.234919	+	0.972015i	$0.424518\pi$
$270$	1.33918	−	0.611581i	0.0814997	−	0.0372197i
$271$	−7.95208	−	27.0823i	−0.483055	−	1.64513i	−0.735502	−	0.677523i	$-0.763054\pi$
$271$	−7.95208	−	27.0823i	−0.483055	−	1.64513i	0.252447	−	0.967611i	$-0.418765\pi$
$272$	1.36195	−	2.98226i	0.0825805	−	0.180826i
$273$	1.36592	+	1.70410i	0.0826692	+	0.103137i
$274$	−6.97612	−	10.8551i	−0.421443	−	0.655778i
$275$		−	2.72552i		−	0.164355i
$276$	5.22999	−	0.903867i	0.314809	−	0.0544064i
$277$	−15.4698			−0.929493			−0.464746	−	0.885444i	$-0.653855\pi$
$277$	−15.4698			−0.929493			−0.464746	+	0.885444i	$0.653855\pi$
$278$	4.86800	+	7.57475i	0.291963	+	0.454303i
$279$	6.11805	+	0.879642i	0.366278	+	0.0526628i
$280$	−4.60159	−	11.1919i	−0.274997	−	0.668844i
$281$	−4.63731	−	15.7932i	−0.276639	−	0.942145i	−0.974213	−	0.225632i	$-0.927555\pi$
$281$	−4.63731	−	15.7932i	−0.276639	−	0.942145i	0.697574	−	0.716513i	$-0.254263\pi$
$282$	−1.87073	−	4.09633i	−0.111400	−	0.243933i
$283$	−7.64541	−	8.82328i	−0.454473	−	0.524489i	0.481555	−	0.876416i	$-0.340072\pi$
$283$	−7.64541	−	8.82328i	−0.454473	−	0.524489i	−0.936028	+	0.351926i	$0.885527\pi$
$284$	1.59972	+	11.1263i	0.0949260	+	0.660225i
$285$	−0.176366	+	0.600647i	−0.0104470	+	0.0355793i
$286$	−0.541049	+	0.624404i	−0.0319929	+	0.0369218i
$287$	8.01851	+	31.7626i	0.473318	+	1.87489i
$288$	4.49360	+	2.88786i	0.264788	+	0.170169i
$289$	−11.1665	+	12.8868i	−0.656852	+	0.758047i
$290$	−3.16227	−	0.928525i	−0.185695	−	0.0545249i
$291$	−4.96286	+	0.713551i	−0.290928	+	0.0418291i
$292$	12.7090	−	11.0125i	0.743741	−	0.644455i
$293$	5.61741	+	12.3004i	0.328173	+	0.718598i	0.999751	−	0.0223360i	$-0.00711036\pi$
$293$	5.61741	+	12.3004i	0.328173	+	0.718598i	−0.671578	+	0.740934i	$0.734383\pi$
$294$	−6.21090	+	2.27962i	−0.362227	+	0.132950i
$295$	8.11409	+	3.70558i	0.472421	+	0.215747i
$296$	31.5597	+	4.53759i	1.83437	+	0.263742i
$297$	−0.890878	+	0.572532i	−0.0516940	+	0.0332217i
$298$			17.3722i			1.00635i
$299$	0.112152	+	3.95718i	0.00648589	+	0.228850i
$300$		−	2.84830i		−	0.164447i
$301$	31.4919	+	5.76682i	1.81516	+	0.332394i
$302$	0.873043	−	6.07215i	0.0502380	−	0.349413i
$303$	−5.26448	+	11.5276i	−0.302437	+	0.662244i
$304$	0.216649	−	0.0636140i	0.0124257	−	0.00364851i
$305$	−5.08437	−	11.1332i	−0.291130	−	0.637486i
$306$	3.61175	+	4.16819i	0.206470	+	0.238279i
$307$	16.5839	−	2.38441i	0.946493	−	0.136085i	0.348252	−	0.937401i	$-0.386775\pi$
$307$	16.5839	−	2.38441i	0.946493	−	0.136085i	0.598242	+	0.801316i	$0.295866\pi$
$308$	1.57525	+	2.67083i	0.0897580	+	0.152184i
$309$	0.996574	+	0.863537i	0.0566931	+	0.0491249i
$310$	4.91968	−	7.65517i	0.279419	−	0.434784i
$311$	−5.11122	+	7.95322i	−0.289831	+	0.450985i	−0.955385	−	0.295364i	$-0.904559\pi$
$311$	−5.11122	+	7.95322i	−0.289831	+	0.450985i	0.665554	+	0.746350i	$0.268195\pi$
$312$	−1.58724	+	1.83178i	−0.0898601	+	0.103704i
$313$	−15.5101	−	4.55417i	−0.876682	−	0.257417i	−0.187727	−	0.982221i	$-0.560112\pi$
$313$	−15.5101	−	4.55417i	−0.876682	−	0.257417i	−0.688955	+	0.724804i	$0.741930\pi$
$314$	1.52654	+	10.6174i	0.0861479	+	0.599172i
$315$	4.11815	+	0.157863i	0.232032	+	0.00889457i
$316$	−1.93748	+	0.884819i	−0.108992	+	0.0497750i
$317$	6.01183	−	1.76523i	0.337658	−	0.0991453i	−0.108508	−	0.994096i	$-0.534607\pi$
$317$	6.01183	−	1.76523i	0.337658	−	0.0991453i	0.446166	+	0.894950i	$0.352789\pi$
$318$	2.49067	−	5.45380i	0.139670	−	0.305834i
$319$	2.34657	+	0.337385i	0.131382	+	0.0188899i
$320$	8.08801	−	5.19785i	0.452133	−	0.290568i
$321$	−13.4596			−0.751244
$322$	−11.4725	−	3.49338i	−0.639338	−	0.194679i
$323$	−2.34517			−0.130489
$324$	−0.931011	+	0.598324i	−0.0517228	+	0.0332402i
$325$	2.10287	+	0.302346i	0.116646	+	0.0167712i
$326$	−4.63492	+	10.1491i	−0.256705	+	0.562105i
$327$	7.76916	−	2.28123i	0.429635	−	0.126152i
$328$	−33.0710	+	15.1030i	−1.82604	+	0.833924i
$329$	0.482878	−	12.5968i	0.0266219	−	0.694482i
$330$	0.221878	+	1.54319i	0.0122140	+	0.0849499i
$331$	15.7091	+	4.61261i	0.863450	+	0.253532i	0.683327	−	0.730112i	$-0.260532\pi$
$331$	15.7091	+	4.61261i	0.863450	+	0.253532i	0.180123	+	0.983644i	$0.442350\pi$
$332$	3.33005	−	3.84308i	0.182760	−	0.210917i
$333$	−5.87065	+	9.13490i	−0.321709	+	0.500590i
$334$	0.878705	−	1.36729i	0.0480806	−	0.0748149i
$335$	−1.70851	−	1.48043i	−0.0933459	−	0.0808847i
$336$	−0.755161	−	1.28037i	−0.0411974	−	0.0698501i
$337$	−16.1093	+	2.31616i	−0.877527	+	0.126169i	−0.566332	−	0.824177i	$-0.691638\pi$
$337$	−16.1093	+	2.31616i	−0.877527	+	0.126169i	−0.311195	+	0.950346i	$0.600729\pi$
$338$	7.62449	+	8.79913i	0.414718	+	0.478610i
$339$	2.94631	+	6.45151i	0.160021	+	0.350398i
$340$	−9.65186	+	2.83404i	−0.523446	+	0.153698i
$341$	−2.71913	+	5.95405i	−0.147249	+	0.322430i
$342$	−0.0540574	+	0.375978i	−0.00292309	+	0.0203306i
$343$	−18.3980	−	2.12411i	−0.993401	−	0.114691i
$344$			35.5312i			1.91572i
$345$	5.78197	+	4.73008i	0.311291	+	0.254659i
$346$			0.0480600i			0.00258372i
$347$	24.0503	−	15.4562i	1.29109	−	0.829732i	0.298876	−	0.954292i	$-0.403388\pi$
$347$	24.0503	−	15.4562i	1.29109	−	0.829732i	0.992212	+	0.124560i	$0.0397520\pi$
$348$	2.45228	+	0.352584i	0.131456	+	0.0189005i
$349$	−13.4413	−	6.13842i	−0.719495	−	0.328582i	0.0217995	−	0.999762i	$-0.493060\pi$
$349$	−13.4413	−	6.13842i	−0.719495	−	0.328582i	−0.741294	+	0.671180i	$0.765788\pi$
$350$	−2.89584	+	5.74756i	−0.154789	+	0.307220i
$351$	−0.342909	−	0.750866i	−0.0183031	−	0.0400782i
$352$	−4.27501	+	3.70431i	−0.227859	+	0.197441i
$353$	−0.367098	+	0.0527808i	−0.0195387	+	0.00280924i	−0.152077	−	0.988369i	$-0.548596\pi$
$353$	−0.367098	+	0.0527808i	−0.0195387	+	0.00280924i	0.132539	+	0.991178i	$0.457687\pi$
$354$	5.19330	+	1.52489i	0.276021	+	0.0810471i
$355$	−10.3607	+	11.9568i	−0.549887	+	0.634603i
$356$	−8.22795	−	5.28778i	−0.436081	−	0.280252i
$357$	3.77903	+	14.9693i	0.200007	+	0.792261i
$358$	7.85495	−	9.06510i	0.415147	−	0.479105i
$359$	−3.14912	+	10.7249i	−0.166204	+	0.566040i	0.833700	+	0.552217i	$0.186218\pi$
$359$	−3.14912	+	10.7249i	−0.166204	+	0.566040i	−0.999904	+	0.0138224i	$0.995600\pi$
$360$	0.650910	+	4.52718i	0.0343060	+	0.238603i
$361$	12.3366	+	14.2372i	0.649294	+	0.749325i
$362$	−4.81359	−	10.5403i	−0.252997	−	0.553986i
$363$	2.78311	+	9.47839i	0.146075	+	0.497487i
$364$	−2.23541	+	0.919097i	−0.117167	+	0.0481738i
$365$	23.4281	+	3.36845i	1.22628	+	0.176313i
$366$	−4.01505	−	6.24755i	−0.209870	−	0.326564i
$367$	−22.5722			−1.17826			−0.589129	−	0.808039i	$-0.700529\pi$
$367$	−22.5722			−1.17826			−0.589129	+	0.808039i	$0.700529\pi$
$368$	0.307753	−	2.67684i	0.0160427	−	0.139540i
$369$		−	12.3818i		−	0.644569i
$370$	8.64287	+	13.4486i	0.449321	+	0.699158i
$371$	13.0958	−	10.4969i	0.679901	−	0.544973i
$372$	−2.84162	+	6.22228i	−0.147331	+	0.322610i
$373$	4.36112	+	14.8526i	0.225810	+	0.769039i	0.991979	+	0.126400i	$0.0403422\pi$
$373$	4.36112	+	14.8526i	0.225810	+	0.769039i	−0.766169	+	0.642639i	$0.777840\pi$
$374$	−5.31283	+	2.42629i	−0.274720	+	0.125460i
$375$	8.91576	−	7.72555i	0.460408	−	0.398946i
$376$	13.8479	−	1.99103i	0.714152	−	0.102680i
$377$	−0.520617	+	1.77306i	−0.0268131	+	0.0913171i
$378$	2.48699	−	0.260803i	0.127917	−	0.0134142i
$379$	17.5830	−	27.3597i	0.903178	−	1.40537i	−0.0109469	−	0.999940i	$-0.503485\pi$
$379$	17.5830	−	27.3597i	0.903178	−	1.40537i	0.914125	−	0.405432i	$-0.132879\pi$
$380$	−0.582817	−	0.374554i	−0.0298979	−	0.0192142i
$381$	13.6539	+	11.8312i	0.699512	+	0.606130i
$382$	−2.25936	+	7.69466i	−0.115599	+	0.393693i
$383$	−4.03447	−	28.0604i	−0.206152	−	1.43382i	−0.785562	−	0.618783i	$-0.787626\pi$
$383$	−4.03447	−	28.0604i	−0.206152	−	1.43382i	0.579410	−	0.815036i	$-0.303283\pi$
$384$	−3.66496	+	3.17570i	−0.187027	+	0.162059i
$385$	−1.38906	+	4.13732i	−0.0707930	+	0.210857i
$386$	5.35271	−	1.57170i	0.272446	−	0.0799973i
$387$	−11.0072	−	5.02683i	−0.559528	−	0.255528i
$388$	0.789683	−	5.49237i	0.0400901	−	0.278833i
$389$	18.0526	+	28.0904i	0.915304	+	1.42424i	0.905527	+	0.424288i	$0.139476\pi$
$389$	18.0526	+	28.0904i	0.915304	+	1.42424i	0.00977633	+	0.999952i	$0.496888\pi$
$390$	−1.21526			−0.0615370
$391$	−10.8998	+	25.7757i	−0.551224	+	1.30353i
$392$	−1.35907	−	20.5090i	−0.0686435	−	1.03586i
$393$	−12.2444	+	7.86899i	−0.617647	+	0.396938i
$394$	0.140560	−	0.977614i	0.00708129	−	0.0492515i
$395$	−2.72698	−	1.24537i	−0.137209	−	0.0626614i
$396$	−0.330184	−	1.12450i	−0.0165924	−	0.0565084i
$397$	8.58878	−	3.92236i	0.431059	−	0.196858i	−0.188056	−	0.982158i	$-0.560219\pi$
$397$	8.58878	−	3.92236i	0.431059	−	0.196858i	0.619115	+	0.785300i	$0.287491\pi$
$398$	13.6206	+	15.7190i	0.682737	+	0.787920i
$399$	−0.608704	+	0.871825i	−0.0304733	+	0.0436459i
$400$	−1.38743	−	0.407385i	−0.0693714	−	0.0203693i
$401$	−9.16429	−	7.94090i	−0.457643	−	0.396550i	0.395302	−	0.918551i	$-0.370640\pi$
$401$	−9.16429	−	7.94090i	−0.457643	−	0.396550i	−0.852944	+	0.522002i	$0.825185\pi$
$402$	−1.15397	−	0.741611i	−0.0575548	−	0.0369882i
$403$	−4.29219	−	2.75843i	−0.213809	−	0.137407i
$404$	−10.5993	−	9.18439i	−0.527337	−	0.456940i
$405$	−1.49456	−	0.438843i	−0.0742654	−	0.0218063i
$406$	−4.58996	−	3.20468i	−0.227796	−	0.159046i
$407$	−7.53038	−	8.69053i	−0.373267	−	0.430773i
$408$	−15.5860	+	7.11787i	−0.771620	+	0.352387i
$409$	10.3051	+	35.0961i	0.509557	+	1.73539i	0.664329	+	0.747440i	$0.268717\pi$
$409$	10.3051	+	35.0961i	0.509557	+	1.73539i	−0.154772	+	0.987950i	$0.549464\pi$
$410$	−16.5814	−	7.57246i	−0.818896	−	0.373977i
$411$	−1.94292	+	13.5133i	−0.0958373	+	0.666563i
$412$	−1.22768	+	0.788985i	−0.0604837	+	0.0388705i
$413$	11.0622	+	10.3534i	0.544333	+	0.509455i
$414$	3.88110	+	2.34159i	0.190746	+	0.115083i
$415$	7.15725			0.351335
$416$	−2.38382	−	3.70929i	−0.116876	−	0.181863i
$417$	1.35579	−	9.42971i	0.0663932	−	0.461775i
$418$	−0.365900	−	0.167101i	−0.0178967	−	0.00817317i
$419$	−12.8407	+	3.77037i	−0.627308	+	0.184194i	−0.579909	−	0.814682i	$-0.696912\pi$
$419$	−12.8407	+	3.77037i	−0.627308	+	0.184194i	−0.0474000	+	0.998876i	$0.515094\pi$
$420$	−1.45164	+	4.32370i	−0.0708326	+	0.210975i
$421$	−12.7382	+	11.0377i	−0.620821	+	0.537945i	−0.907484	−	0.420087i	$-0.862000\pi$
$421$	−12.7382	+	11.0377i	−0.620821	+	0.537945i	0.286662	+	0.958032i	$0.407454\pi$
$422$	0.726719	+	5.05444i	0.0353761	+	0.246046i
$423$	−1.34235	+	4.57163i	−0.0652673	+	0.222280i
$424$	14.0770	+	12.1978i	0.683639	+	0.592377i
$425$	12.6344	+	8.11963i	0.612858	+	0.393860i
$426$	−5.19009	+	8.07594i	−0.251461	+	0.391281i
$427$	−2.16818	−	20.6755i	−0.104925	−	1.00056i
$428$	4.19661	−	14.2923i	0.202851	−	0.690846i
$429$	0.865256	−	0.124405i	0.0417749	−	0.00600633i
$430$	−13.4636	+	11.6663i	−0.649273	+	0.562598i
$431$	14.0725	−	6.42668i	0.677847	−	0.309562i	−0.0465795	−	0.998915i	$-0.514832\pi$
$431$	14.0725	−	6.42668i	0.677847	−	0.309562i	0.724426	+	0.689352i	$0.242105\pi$
$432$	0.158288	+	0.539079i	0.00761562	+	0.0259364i
$433$	2.32761	−	5.09675i	0.111858	−	0.244934i	−0.845421	−	0.534100i	$-0.820651\pi$
$433$	2.32761	−	5.09675i	0.111858	−	0.244934i	0.957279	+	0.289166i	$0.0933779\pi$
$434$	12.0602	−	9.66683i	0.578909	−	0.464023i
$435$	1.88524	+	2.93348i	0.0903901	+	0.140650i
$436$			8.96107i			0.429157i
$437$	−1.83319	+	0.595181i	−0.0876934	+	0.0284714i
$438$	14.3617			0.686231
$439$	9.11088	+	14.1768i	0.434839	+	0.676622i	0.987649	−	0.156685i	$-0.0500808\pi$
$439$	9.11088	+	14.1768i	0.434839	+	0.676622i	−0.552810	+	0.833307i	$0.686444\pi$
$440$	−4.79423	−	0.689306i	−0.228556	−	0.0328614i
$441$	6.54577	+	2.48051i	0.311703	+	0.118120i
$442$	−1.28263	−	4.36825i	−0.0610087	−	0.207776i
$443$	−7.40727	−	16.2197i	−0.351930	−	0.770619i	−0.999959	−	0.00900374i	$-0.997134\pi$
$443$	−7.40727	−	16.2197i	−0.351930	−	0.770619i	0.648030	−	0.761615i	$-0.275593\pi$
$444$	−7.86962	−	9.08203i	−0.373476	−	0.431014i
$445$	−1.95911	−	13.6259i	−0.0928708	−	0.645931i
$446$	−5.26020	+	17.9146i	−0.249078	+	0.848281i
$447$	12.0366	−	13.8910i	0.569313	−	0.657022i
$448$	15.8334	−	3.99718i	0.748060	−	0.188849i
$449$	0.197321	+	0.126811i	0.00931216	+	0.00598456i	0.545289	−	0.838248i	$-0.316420\pi$
$449$	0.197321	+	0.126811i	0.00931216	+	0.00598456i	−0.535976	+	0.844233i	$0.680056\pi$
$450$	1.59297	−	1.83838i	0.0750932	−	0.0866622i
$451$	12.5810	+	3.69412i	0.592417	+	0.173949i
$452$	−7.76928	+	1.11705i	−0.365436	+	0.0525418i
$453$	−4.90528	+	4.25045i	−0.230470	+	0.199703i
$454$	1.93461	+	4.23620i	0.0907957	+	0.198815i
$455$	−3.03805	−	1.53068i	−0.142426	−	0.0717596i
$456$	−1.07342	−	0.490214i	−0.0502675	−	0.0229564i
$457$	12.0197	+	1.72818i	0.562260	+	0.0808408i	0.417584	−	0.908638i	$-0.362877\pi$
$457$	12.0197	+	1.72818i	0.562260	+	0.0808408i	0.144676	+	0.989479i	$0.453786\pi$
$458$	16.6935	−	10.7283i	0.780037	−	0.501299i
$459$		−	5.83538i		−	0.272372i
$460$	−6.82548	+	4.66488i	−0.318240	+	0.217501i
$461$			38.0249i			1.77100i	0.464642	+	0.885499i	$0.346183\pi$
$461$			38.0249i			1.77100i	−0.464642	+	0.885499i	$0.653817\pi$
$462$	−0.476997	+	2.60482i	−0.0221919	+	0.121187i
$463$	3.10829	−	21.6186i	0.144455	−	1.00470i	−0.780644	−	0.624976i	$-0.785109\pi$
$463$	3.10829	−	21.6186i	0.144455	−	1.00470i	0.925098	−	0.379727i	$-0.123982\pi$
$464$	0.522489	−	1.14409i	0.0242559	−	0.0531131i
$465$	−9.23783	+	2.71247i	−0.428394	+	0.125788i
$466$	3.30902	+	7.24575i	0.153288	+	0.335653i
$467$	1.81684	+	2.09675i	0.0840733	+	0.0970258i	0.796228	−	0.604997i	$-0.206826\pi$
$467$	1.81684	+	2.09675i	0.0840733	+	0.0970258i	−0.712154	+	0.702023i	$0.752280\pi$
$468$	0.904235	−	0.130009i	0.0417983	−	0.00600968i
$469$	−1.95073	−	3.30746i	−0.0900763	−	0.152724i
$470$	5.30126	+	4.59357i	0.244529	+	0.211885i
$471$	6.13576	−	9.54742i	0.282721	−	0.439922i
$472$	−9.09095	+	14.1458i	−0.418445	+	0.651113i
$473$	8.39174	−	9.68458i	0.385852	−	0.445297i
$474$	−1.74536	−	0.512485i	−0.0801673	−	0.0235392i
$475$	0.147202	+	1.02381i	0.00675409	+	0.0469757i
$476$	−17.0737	−	0.654494i	−0.782571	−	0.0299987i
$477$	−5.77031	+	2.63521i	−0.264204	+	0.120658i
$478$	1.68903	−	0.495943i	0.0772542	−	0.0226839i
$479$	15.6147	−	34.1915i	0.713456	−	1.56225i	−0.109398	−	0.993998i	$-0.534892\pi$
$479$	15.6147	−	34.1915i	0.713456	−	1.56225i	0.822854	−	0.568253i	$-0.192380\pi$
$480$	−8.23563	−	1.18410i	−0.375903	−	0.0540467i
$481$	7.54050	−	4.84599i	0.343817	−	0.220958i
$482$	−8.79762			−0.400720
$483$	6.75308	+	10.7422i	0.307276	+	0.488789i
$484$	−10.9325			−0.496933
$485$	6.57013	−	4.22236i	0.298334	−	0.191728i
$486$	−0.935528	−	0.134509i	−0.0424364	−	0.00610143i
$487$	7.65392	−	16.7598i	0.346832	−	0.759457i	−0.653165	−	0.757216i	$-0.726559\pi$
$487$	7.65392	−	16.7598i	0.346832	−	0.759457i	0.999997	−	0.00224146i	$-0.000713479\pi$
$488$	22.1372	−	6.50007i	1.00210	−	0.294244i
$489$	10.7381	−	4.90391i	0.485592	−	0.221763i
$490$	7.32511	−	7.24890i	0.330915	−	0.327472i
$491$	−2.53481	−	17.6300i	−0.114394	−	0.795631i	−0.963558	−	0.267500i	$-0.913802\pi$
$491$	−2.53481	−	17.6300i	−0.114394	−	0.795631i	0.849163	−	0.528130i	$-0.177107\pi$
$492$	13.1478	+	3.86054i	0.592748	+	0.174046i
$493$	−8.55466	+	9.87261i	−0.385283	+	0.444640i
$494$	0.169516	−	0.263772i	0.00762688	−	0.0118677i
$495$	0.891810	−	1.38768i	0.0400839	−	0.0623717i
$496$	2.62448	+	2.27413i	0.117843	+	0.102111i
$497$	−23.1469	+	13.6520i	−1.03828	+	0.612375i
$498$	4.29864	−	0.618051i	0.192627	−	0.0276955i
$499$	26.8542	+	30.9914i	1.20216	+	1.38737i	0.901015	+	0.433788i	$0.142823\pi$
$499$	26.8542	+	30.9914i	1.20216	+	1.38737i	0.301145	+	0.953578i	$0.402631\pi$
$500$	5.42363	+	11.8761i	0.242552	+	0.531115i
$501$	−1.64997	+	0.484475i	−0.0737152	+	0.0216447i
$502$	−1.78894	+	3.91724i	−0.0798444	+	0.174835i
$503$	−2.28783	+	15.9122i	−0.102009	+	0.709491i	0.873063	+	0.487607i	$0.162130\pi$
$503$	−2.28783	+	15.9122i	−0.102009	+	0.709491i	−0.975073	+	0.221885i	$0.928779\pi$
$504$	−1.39934	+	7.64162i	−0.0623316	+	0.340385i
$505$		−	19.7399i		−	0.878415i
$506$	−3.53720	+	3.24494i	−0.157248	+	0.144255i
$507$		−	12.3186i		−	0.547089i
$508$	−16.8203	+	10.8098i	−0.746281	+	0.479606i
$509$	−23.1757	−	3.33217i	−1.02725	−	0.147696i	−0.391967	−	0.919979i	$-0.628205\pi$
$509$	−23.1757	−	3.33217i	−1.02725	−	0.147696i	−0.635278	+	0.772283i	$0.719115\pi$
$510$	−7.81461	−	3.56881i	−0.346037	−	0.158030i
$511$	35.9032	+	18.0894i	1.58826	+	0.800228i
$512$	2.61733	+	5.73115i	0.115671	+	0.253283i
$513$	0.303727	−	0.263181i	0.0134099	−	0.0116197i
$514$	3.56150	−	0.512066i	0.157091	−	0.0225863i
$515$	−1.97081	−	0.578683i	−0.0868445	−	0.0254998i
$516$	8.76978	−	10.1209i	0.386068	−	0.445546i
$517$	−4.24470	−	2.72790i	−0.186682	−	0.119973i
$518$	6.64642	+	26.3275i	0.292027	+	1.15676i
$519$	0.0332991	−	0.0384293i	0.00146167	−	0.00168686i
$520$	1.06366	−	3.62250i	0.0466447	−	0.158857i
$521$	0.844130	+	5.87105i	0.0369820	+	0.257216i	0.999922	−	0.0125007i	$-0.00397920\pi$
$521$	0.844130	+	5.87105i	0.0369820	+	0.257216i	−0.962940	+	0.269716i	$0.913070\pi$
$522$	1.38559	+	1.59905i	0.0606455	+	0.0699886i
$523$	−17.4852	−	38.2872i	−0.764573	−	1.67418i	−0.738250	−	0.674528i	$-0.764347\pi$
$523$	−17.4852	−	38.2872i	−0.764573	−	1.67418i	−0.0263233	−	0.999653i	$-0.508380\pi$
$524$	−4.53811	−	15.4554i	−0.198248	−	0.675171i
$525$	6.29783	−	2.58938i	0.274860	−	0.113010i
$526$	7.64783	+	1.09959i	0.333461	+	0.0479445i
$527$	−19.5000	−	30.3426i	−0.849432	−	1.32174i
$528$	−0.594979			−0.0258931
$529$	−1.97859	+	22.9147i	−0.0860258	+	0.996293i
$530$			9.33911i			0.405665i
$531$	−3.09607	−	4.81758i	−0.134358	−	0.209065i
$532$	−0.735973	−	0.918190i	−0.0319085	−	0.0398086i
$533$	−4.24582	+	9.29704i	−0.183907	+	0.402700i
$534$	−2.35328	−	8.01454i	−0.101836	−	0.346823i
$535$	19.0709	−	8.70939i	0.824507	−	0.376540i
$536$	3.22065	−	2.79071i	0.139111	−	0.120540i
$537$	−12.5618	+	1.80611i	−0.542081	+	0.0779395i
$538$	4.00914	−	13.6539i	0.172846	−	0.588660i
$539$	−4.47337	+	5.91103i	−0.192682	+	0.254606i
$540$	0.931985	−	1.45020i	0.0401062	−	0.0624065i
$541$	10.3918	+	6.67843i	0.446780	+	0.287128i	0.744621	−	0.667487i	$-0.232630\pi$
$541$	10.3918	+	6.67843i	0.446780	+	0.287128i	−0.297841	+	0.954615i	$0.596267\pi$
$542$	20.1615	+	17.4700i	0.866009	+	0.750401i
$543$	−3.45402	+	11.7633i	−0.148226	+	0.504812i
$544$	−4.43596	−	30.8527i	−0.190190	−	1.32280i
$545$	−9.53196	+	8.25949i	−0.408304	+	0.353798i
$546$	−1.95683	−	0.656983i	−0.0837445	−	0.0281163i
$547$	−29.7768	+	8.74325i	−1.27316	+	0.373834i	−0.847378	−	0.530990i	$-0.821820\pi$
$547$	−29.7768	+	8.74325i	−1.27316	+	0.373834i	−0.425785	+	0.904824i	$0.640002\pi$
$548$	−13.7435	−	6.27647i	−0.587095	−	0.268117i
$549$	−1.11823	+	7.77749i	−0.0477251	+	0.331935i
$550$	1.39270	+	2.16709i	0.0593850	+	0.0924049i
$551$	−0.899684			−0.0383278
$552$	−10.3769	+	9.51951i	−0.441670	+	0.405177i
$553$	−3.71777	−	3.47955i	−0.158095	−	0.147966i
$554$	12.3002	−	7.90487i	0.522586	−	0.335846i
$555$	2.40713	−	16.7419i	0.102177	−	0.710656i
$556$	9.59037	+	4.37977i	0.406722	+	0.185744i
$557$	1.32302	+	4.50578i	0.0560580	+	0.190916i	0.982762	−	0.184877i	$-0.0591886\pi$
$557$	1.32302	+	4.50578i	0.0560580	+	0.190916i	−0.926704	+	0.375793i	$0.877370\pi$
$558$	−5.31400	+	2.42682i	−0.224960	+	0.102736i
$559$	6.54120	+	7.54894i	0.276663	+	0.319286i
$560$	1.89848	+	1.32551i	0.0802255	+	0.0560130i
$561$	5.92928	+	1.74099i	0.250335	+	0.0735049i
$562$	11.7573	+	10.1877i	0.495951	+	0.429744i
$563$	16.8589	+	10.8345i	0.710517	+	0.456621i	0.845326	−	0.534250i	$-0.179406\pi$
$563$	16.8589	+	10.8345i	0.710517	+	0.456621i	−0.134810	+	0.990872i	$0.543042\pi$
$564$	−4.43592	−	2.85079i	−0.186786	−	0.120040i
$565$	−8.34922	−	7.23464i	−0.351254	−	0.304364i
$566$	10.5875	+	3.10877i	0.445026	+	0.130671i
$567$	−2.16932	−	1.51461i	−0.0911030	−	0.0636076i
$568$	−19.5305	−	22.5394i	−0.819482	−	0.945733i
$569$	−32.2668	+	14.7357i	−1.35269	+	0.617755i	−0.954132	−	0.299387i	$-0.903218\pi$
$569$	−32.2668	+	14.7357i	−1.35269	+	0.617755i	−0.398562	+	0.917141i	$0.630491\pi$
$570$	−0.166692	−	0.567700i	−0.00698196	−	0.0237784i
$571$	7.45264	+	3.40351i	0.311883	+	0.142432i	0.565207	−	0.824949i	$-0.308796\pi$
$571$	7.45264	+	3.40351i	0.311883	+	0.142432i	−0.253323	+	0.967382i	$0.581524\pi$
$572$	−0.137678	+	0.957574i	−0.00575662	+	0.0400382i
$573$	7.13797	−	4.58729i	0.298193	−	0.191637i
$574$	−22.6058	−	21.1574i	−0.943548	−	0.883092i
$575$	11.9368	+	3.14053i	0.497800	+	0.130969i
$576$	−6.17224			−0.257176
$577$	12.1400	+	18.8901i	0.505393	+	0.786407i	0.996402	−	0.0847473i	$-0.0270083\pi$
$577$	12.1400	+	18.8901i	0.505393	+	0.786407i	−0.491009	+	0.871154i	$0.663372\pi$
$578$	2.29360	−	15.9523i	0.0954011	−	0.663529i
$579$	−5.36905	−	2.45196i	−0.223130	−	0.101900i
$580$	−3.70277	+	1.08723i	−0.153749	+	0.0451448i
$581$	11.5247	+	3.86929i	0.478125	+	0.160525i
$582$	3.58140	−	3.10330i	0.148454	−	0.128636i
$583$	−0.956037	−	6.64938i	−0.0395950	−	0.275389i
$584$	−12.5702	+	42.8102i	−0.520159	+	1.77150i
$585$	0.971732	+	0.842011i	0.0401762	+	0.0348129i
$586$	−10.7518	−	6.90976i	−0.444153	−	0.285440i
$587$	−4.18832	+	6.51716i	−0.172871	+	0.268992i	−0.916868	−	0.399191i	$-0.869291\pi$
$587$	−4.18832	+	6.51716i	−0.172871	+	0.268992i	0.743997	+	0.668183i	$0.232928\pi$
$588$	−4.67489	+	6.17732i	−0.192789	+	0.254748i
$589$	0.699839	−	2.38343i	0.0288364	−	0.0982077i
$590$	−8.34509	+	1.19984i	−0.343562	+	0.0493967i
$591$	−0.789748	+	0.684320i	−0.0324859	+	0.0281492i
$592$	−5.54949	+	2.53437i	−0.228083	+	0.104162i
$593$	−10.0833	−	34.3406i	−0.414072	−	1.41020i	−0.857774	−	0.514026i	$-0.828153\pi$
$593$	−10.0833	−	34.3406i	−0.414072	−	1.41020i	0.443702	−	0.896174i	$-0.353665\pi$
$594$	0.415789	−	0.910452i	0.0170600	−	0.0373563i
$595$	−15.0408	−	18.7647i	−0.616611	−	0.769276i
$596$	10.9975	+	17.1124i	0.450474	+	0.700951i
$597$		−	22.0063i		−	0.900656i
$598$	−2.11124	−	3.08908i	−0.0863349	−	0.126322i
$599$	−13.8023			−0.563948			−0.281974	−	0.959422i	$-0.590989\pi$
$599$	−13.8023			−0.563948			−0.281974	+	0.959422i	$0.590989\pi$
$600$	4.08569	+	6.35746i	0.166798	+	0.259542i
$601$	20.2026	+	2.90469i	0.824079	+	0.118485i	0.541438	−	0.840741i	$-0.317880\pi$
$601$	20.2026	+	2.90469i	0.824079	+	0.118485i	0.282642	+	0.959226i	$0.408789\pi$
$602$	−27.9862	+	11.5066i	−1.14063	+	0.468976i
$603$	0.408888	+	1.39255i	0.0166512	+	0.0567088i
$604$	−2.98398	−	6.53400i	−0.121416	−	0.265865i
$605$	−10.0766	−	11.6290i	−0.409672	−	0.472787i
$606$	−1.70460	−	11.8558i	−0.0692448	−	0.481608i
$607$	−2.30162	+	7.83861i	−0.0934200	+	0.318159i	−0.992924	−	0.118754i	$-0.962110\pi$
$607$	−2.30162	+	7.83861i	−0.0934200	+	0.318159i	0.899504	+	0.436913i	$0.143928\pi$
$608$	1.40580	−	1.62237i	0.0570125	−	0.0657960i
$609$	1.44976	+	5.74272i	0.0587472	+	0.232707i
$610$	9.73154	+	6.25408i	0.394019	+	0.253220i
$611$	2.57558	−	2.97237i	0.104197	−	0.120249i
$612$	6.19639	+	1.81943i	0.250474	+	0.0735459i
$613$	8.07931	−	1.16163i	0.326320	−	0.0469178i	0.0227921	−	0.999740i	$-0.492744\pi$
$613$	8.07931	−	1.16163i	0.326320	−	0.0469178i	0.303528	+	0.952822i	$0.401835\pi$
$614$	−11.9676	+	10.3700i	−0.482974	+	0.418499i
$615$	8.01193	+	17.5437i	0.323072	+	0.707429i
$616$	−7.34709	−	3.70175i	−0.296023	−	0.149148i
$617$	6.69526	+	3.05762i	0.269541	+	0.123095i	0.545601	−	0.838045i	$-0.316302\pi$
$617$	6.69526	+	3.05762i	0.269541	+	0.123095i	−0.276060	+	0.961140i	$0.589029\pi$
$618$	−1.23364	−	0.177371i	−0.0496243	−	0.00713490i
$619$	9.08408	−	5.83799i	0.365120	−	0.234648i	−0.345197	−	0.938530i	$-0.612188\pi$
$619$	9.08408	−	5.83799i	0.365120	−	0.234648i	0.710317	+	0.703882i	$0.248552\pi$
$620$		−	10.6551i		−	0.427917i
$621$	−1.48096	−	4.56144i	−0.0594289	−	0.183044i
$622$		−	8.93544i		−	0.358278i
$623$	4.21175	−	22.9998i	0.168740	−	0.921467i
$624$	0.0660020	−	0.459054i	0.00264219	−	0.0183769i
$625$	−2.28792	+	5.00985i	−0.0915168	+	0.200394i
$626$	14.6593	−	4.30437i	0.585905	−	0.172037i
$627$	0.176799	+	0.387135i	0.00706065	+	0.0154607i
$628$	8.22501	+	9.49216i	0.328213	+	0.378778i
$629$	62.7196	−	9.01771i	2.50079	−	0.359560i
$630$	−3.35505	+	1.97880i	−0.133668	+	0.0788372i
$631$	−5.78062	−	5.00893i	−0.230123	−	0.199403i	0.532165	−	0.846641i	$-0.321379\pi$
$631$	−5.78062	−	5.00893i	−0.230123	−	0.199403i	−0.762288	+	0.647238i	$0.775924\pi$
$632$	3.05529	−	4.75412i	0.121533	−	0.189109i
$633$	2.92096	−	4.54510i	0.116098	−	0.180651i
$634$	−3.87805	+	4.47551i	−0.154017	+	0.177745i
$635$	−27.0018	−	7.92846i	−1.07154	−	0.314631i
$636$	−0.999106	−	6.94893i	−0.0396171	−	0.275543i
$637$	−4.06440	−	4.10713i	−0.161037	−	0.162731i
$638$	−2.03818	+	0.930803i	−0.0806921	+	0.0368509i
$639$	9.74559	−	2.86156i	0.385530	−	0.113202i
$640$	3.13794	−	6.87114i	0.124038	−	0.271606i
$641$	−7.65897	−	1.10119i	−0.302511	−	0.0434946i	−0.0106122	−	0.999944i	$-0.503378\pi$
$641$	−7.65897	−	1.10119i	−0.302511	−	0.0434946i	−0.291899	+	0.956449i	$0.594287\pi$
$642$	10.7019	−	6.87768i	0.422370	−	0.271441i
$643$	20.4973			0.808336			0.404168	−	0.914685i	$-0.367561\pi$
$643$	20.4973			0.808336			0.404168	+	0.914685i	$0.367561\pi$
$644$	−13.5124	+	3.82152i	−0.532462	+	0.150589i
$645$	18.8488			0.742171
$646$	1.86467	−	1.19835i	0.0733644	−	0.0471484i
$647$	10.9825	+	1.57904i	0.431765	+	0.0620784i	0.354771	−	0.934953i	$-0.384559\pi$
$647$	10.9825	+	1.57904i	0.431765	+	0.0620784i	0.0769937	+	0.997032i	$0.475468\pi$
$648$	1.21978	−	2.67094i	0.0479174	−	0.104924i
$649$	5.81882	−	1.70856i	0.228409	−	0.0670669i
$650$	−1.82650	+	0.834136i	−0.0716413	+	0.0327175i
$651$	−16.3413	−	0.626418i	−0.640465	−	0.0245512i
$652$	1.85925	+	12.9314i	0.0728140	+	0.506432i
$653$	−3.94998	−	1.15982i	−0.154575	−	0.0453873i	0.203530	−	0.979069i	$-0.434759\pi$
$653$	−3.94998	−	1.15982i	−0.154575	−	0.0453873i	−0.358104	+	0.933682i	$0.616577\pi$
$654$	−5.01165	+	5.78376i	−0.195971	+	0.226163i
$655$	12.2572	−	19.0726i	0.478928	−	0.745227i
$656$	3.76099	−	5.85221i	0.146842	−	0.228490i
$657$	−11.4838	−	9.95076i	−0.448025	−	0.388216i
$658$	6.05283	+	10.2626i	0.235964	+	0.400076i
$659$	−43.3481	+	6.23251i	−1.68860	+	0.242784i	−0.918580	−	0.395235i	$-0.870663\pi$
$659$	−43.3481	+	6.23251i	−1.68860	+	0.242784i	−0.770021	+	0.638019i	$0.779754\pi$
$660$	1.19547	+	1.37965i	0.0465338	+	0.0537028i
$661$	5.83023	+	12.7664i	0.226770	+	0.496556i	0.988478	−	0.151364i	$-0.0483665\pi$
$661$	5.83023	+	12.7664i	0.226770	+	0.496556i	−0.761709	+	0.647920i	$0.775639\pi$
$662$	−14.8474	+	4.35960i	−0.577062	+	0.169441i
$663$	−2.00100	+	4.38159i	−0.0777126	+	0.170167i
$664$	−1.92009	+	13.3546i	−0.0745141	+	0.518257i
$665$	0.298334	−	1.62916i	0.0115689	−	0.0631762i
$666$		−	10.2631i		−	0.397686i
$667$	−4.18150	+	9.88838i	−0.161908	+	0.382879i
$668$		−	1.90310i		−	0.0736332i
$669$	16.6185	−	10.6801i	0.642509	−	0.412916i
$670$	2.11493	+	0.304081i	0.0817070	+	0.0117477i
$671$	−7.56902	−	3.45665i	−0.292199	−	0.133443i
$672$	−12.6210	−	6.35894i	−0.486865	−	0.245301i
$673$	14.1249	+	30.9292i	0.544475	+	1.19223i	0.959314	+	0.282340i	$0.0911106\pi$
$673$	14.1249	+	30.9292i	0.544475	+	1.19223i	−0.414839	+	0.909895i	$0.636162\pi$
$674$	11.6251	−	10.0732i	0.447782	−	0.388005i
$675$	−2.54750	+	0.366276i	−0.0980535	+	0.0140980i
$676$	13.0807	+	3.84084i	0.503104	+	0.147725i
$677$	−21.4608	+	24.7670i	−0.824804	+	0.951875i	−0.999463	−	0.0327540i	$-0.989572\pi$
$677$	−21.4608	+	24.7670i	−0.824804	+	0.951875i	0.174659	+	0.984629i	$0.444118\pi$
$678$	−5.63927	−	3.62414i	−0.216575	−	0.139184i
$679$	12.8620	−	3.24703i	0.493597	−	0.124609i
$680$	17.4779	−	20.1706i	0.670246	−	0.773506i
$681$	1.38819	−	4.72773i	0.0531954	−	0.181167i
$682$	−0.880435	−	6.12356i	−0.0337136	−	0.234483i
$683$	14.5853	+	16.8324i	0.558092	+	0.644072i	0.962749	−	0.270396i	$-0.0871547\pi$
$683$	14.5853	+	16.8324i	0.558092	+	0.644072i	−0.404658	+	0.914468i	$0.632609\pi$
$684$	0.184763	+	0.404575i	0.00706460	+	0.0154693i
$685$	−5.99121	−	20.4042i	−0.228912	−	0.779603i
$686$	15.7138	−	7.71224i	0.599958	−	0.294455i
$687$	−20.7815	−	2.98793i	−0.792865	−	0.113997i
$688$	−3.67562	−	5.71938i	−0.140132	−	0.218049i
$689$	5.23636			0.199490
$690$	−7.01430	−	0.806424i	−0.267030	−	0.0307000i
$691$			5.63236i			0.214265i	0.994245	+	0.107132i	$0.0341669\pi$
$691$			5.63236i			0.214265i	−0.994245	+	0.107132i	$0.965833\pi$
$692$	0.0304243	+	0.0473412i	0.00115656	+	0.00179964i
$693$	2.18620	−	1.75234i	0.0830470	−	0.0665661i
$694$	−11.2247	+	24.5787i	−0.426085	+	0.932996i
$695$	4.18072	+	14.2382i	0.158584	+	0.540086i
$696$	−5.97928	+	2.73065i	−0.226644	+	0.103505i
$697$	−54.6047	+	47.3152i	−2.06830	+	1.79219i
$698$	13.8239	−	1.98758i	0.523243	−	0.0752310i
$699$	2.37441	−	8.08648i	0.0898083	−	0.305859i
$700$	0.785956	+	7.49480i	0.0297064	+	0.283277i
$701$	−5.36738	+	8.35180i	−0.202723	+	0.315443i	−0.927698	−	0.373332i	$-0.878215\pi$
$701$	−5.36738	+	8.35180i	−0.202723	+	0.315443i	0.724975	+	0.688776i	$0.241851\pi$
$702$	0.656332	+	0.421799i	0.0247716	+	0.0159198i
$703$	3.29807	+	2.85780i	0.124389	+	0.107784i
$704$	1.84150	−	6.27156i	0.0694040	−	0.236368i
$705$	−1.05621	−	7.34612i	−0.0397793	−	0.276671i
$706$	0.264913	−	0.229548i	0.00997013	−	0.00863917i
$707$	10.6716	−	31.7855i	0.401348	−	1.19542i
$708$	6.08095	−	1.78553i	0.228536	−	0.0671043i
$709$	−23.8029	−	10.8704i	−0.893938	−	0.408248i	−0.0851639	−	0.996367i	$-0.527141\pi$
$709$	−23.8029	−	10.8704i	−0.893938	−	0.408248i	−0.808774	+	0.588119i	$0.799869\pi$
$710$	2.12808	−	14.8011i	0.0798655	−	0.555477i
$711$	1.04053	+	1.61909i	0.0390228	+	0.0607207i
$712$	25.9499			0.972513
$713$	−22.9435	−	18.7695i	−0.859241	−	0.702922i
$714$	−10.6539	−	9.97122i	−0.398710	−	0.373164i
$715$	−1.14548	+	0.736154i	−0.0428384	+	0.0275306i
$716$	1.99882	−	13.9021i	0.0746993	−	0.519545i
$717$	−1.69418	−	0.773707i	−0.0632704	−	0.0288946i
$718$	−2.97639	−	10.1366i	−0.111078	−	0.378296i
$719$	−13.1777	+	6.01803i	−0.491443	+	0.224435i	−0.645693	−	0.763597i	$-0.723431\pi$
$719$	−13.1777	+	6.01803i	−0.491443	+	0.224435i	0.154249	+	0.988032i	$0.450704\pi$
$720$	−0.573101	−	0.661394i	−0.0213582	−	0.0246487i
$721$	−2.86059	−	1.99725i	−0.106534	−	0.0743815i
$722$	−17.0839	−	5.01629i	−0.635798	−	0.186687i
$723$	7.03466	+	6.09557i	0.261622	+	0.226697i
$724$	−11.4141	−	7.33540i	−0.424202	−	0.272618i
$725$	4.84696	+	3.11495i	0.180012	+	0.115686i
$726$	−7.05620	−	6.11423i	−0.261880	−	0.226920i
$727$	−14.2623	−	4.18779i	−0.528960	−	0.155317i	0.00633825	−	0.999980i	$-0.497982\pi$
$727$	−14.2623	−	4.18779i	−0.528960	−	0.155317i	−0.535298	+	0.844663i	$0.679801\pi$
$728$	3.67110	−	5.25798i	0.136060	−	0.194874i
$729$	0.654861	+	0.755750i	0.0242541	+	0.0279907i
$730$	−20.3491	+	9.29312i	−0.753154	+	0.343954i
$731$	19.8938	+	67.7521i	0.735799	+	2.50590i
$732$	−7.90999	−	3.61237i	−0.292362	−	0.133517i
$733$	−0.472756	+	3.28809i	−0.0174617	+	0.121448i	−0.996688	−	0.0813225i	$-0.974086\pi$
$733$	−0.472756	+	3.28809i	−0.0174617	+	0.121448i	0.979226	+	0.202771i	$0.0649947\pi$
$734$	17.9473	−	11.5341i	0.662449	−	0.425730i
$735$	−10.8797	+	0.720968i	−0.401305	+	0.0265933i
$736$	−11.2976	−	22.9914i	−0.416437	−	0.847474i
$737$	−1.53695			−0.0566141
$738$	6.32691	+	9.84486i	0.232897	+	0.362394i
$739$	−1.08578	+	7.55180i	−0.0399412	+	0.277797i	−0.999998	−	0.00200802i	$-0.999361\pi$
$739$	−1.08578	+	7.55180i	−0.0399412	+	0.277797i	0.960057	+	0.279805i	$0.0902699\pi$
$740$	17.0272	+	7.77605i	0.625932	+	0.285853i
$741$	−0.318305	+	0.0934628i	−0.0116932	+	0.00343344i
$742$	−5.04883	+	15.0380i	−0.185348	+	0.552061i
$743$	−12.0410	+	10.4336i	−0.441742	+	0.382771i	−0.847141	−	0.531368i	$-0.821678\pi$
$743$	−12.0410	+	10.4336i	−0.441742	+	0.382771i	0.405399	+	0.914140i	$0.367133\pi$
$744$	−2.58288	−	17.9643i	−0.0946931	−	0.658605i
$745$	−8.06613	+	27.4707i	−0.295520	+	1.00645i
$746$	−11.0570	−	9.58097i	−0.404827	−	0.350784i
$747$	−3.86546	−	2.48418i	−0.141430	−	0.0908913i
$748$	−3.69741	+	5.75328i	−0.135191	+	0.210361i
$749$	35.4167	−	3.71403i	1.29410	−	0.135708i
$750$	−3.14136	+	10.6985i	−0.114706	+	0.390653i
$751$	5.83277	−	0.838625i	0.212841	−	0.0306019i	−0.0350695	−	0.999385i	$-0.511165\pi$
$751$	5.83277	−	0.838625i	0.212841	−	0.0306019i	0.247910	+	0.968783i	$0.420256\pi$
$752$	−2.02310	+	1.75303i	−0.0737749	+	0.0639263i
$753$	4.14457	−	1.89276i	0.151037	−	0.0689761i
$754$	−0.492060	−	1.67580i	−0.0179198	−	0.0610291i
$755$	4.19991	−	9.19652i	0.152850	−	0.334696i
$756$	2.28469	−	1.83129i	0.0830933	−	0.0666032i
$757$	−4.03001	−	6.27082i	−0.146473	−	0.227917i	0.760263	−	0.649616i	$-0.225070\pi$
$757$	−4.03001	−	6.27082i	−0.146473	−	0.227917i	−0.906736	+	0.421699i	$0.861434\pi$
$758$			30.7386i			1.11648i
$759$	5.07669	−	0.143880i	0.184272	−	0.00522251i
$760$	1.83813			0.0666760
$761$	−20.8232	−	32.4015i	−0.754840	−	1.17455i	−0.979760	−	0.200177i	$-0.935848\pi$
$761$	−20.8232	−	32.4015i	−0.754840	−	1.17455i	0.224920	−	0.974377i	$-0.427788\pi$
$762$	−16.9019	−	2.43013i	−0.612292	−	0.0880343i
$763$	−19.8137	+	8.14646i	−0.717303	+	0.294922i
$764$	2.64553	+	9.00984i	0.0957119	+	0.325965i
$765$	3.77593	+	8.26813i	0.136519	+	0.298935i
$766$	17.5463	+	20.2495i	0.633974	+	0.731645i
$767$	0.672742	+	4.67903i	0.0242913	+	0.168950i
$768$	4.76914	−	16.2422i	0.172092	−	0.586090i
$769$	29.0494	−	33.5248i	1.04755	−	1.20893i	0.0701469	−	0.997537i	$-0.477653\pi$
$769$	29.0494	−	33.5248i	1.04755	−	1.20893i	0.977400	−	0.211397i	$-0.0678013\pi$
$770$	−1.00966	−	3.99941i	−0.0363855	−	0.144129i
$771$	−3.20260	−	2.05819i	−0.115339	−	0.0741238i
$772$	4.27769	−	4.93671i	0.153957	−	0.177676i

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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.795109 + 0.510986i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.459738 + 1.00669i) q^{4} +(-1.49456 + 0.438843i) q^{5} +(-0.859737 + 0.392629i) q^{6} +(-2.64381 - 0.101346i) q^{7} +(-0.417877 - 2.90640i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\)	\(q+(-0.795109 + 0.510986i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.459738 + 1.00669i) q^{4} +(-1.49456 + 0.438843i) q^{5} +(-0.859737 + 0.392629i) q^{6} +(-2.64381 - 0.101346i) q^{7} +(-0.417877 - 2.90640i) q^{8} +(0.959493 + 0.281733i) q^{9} +(0.964098 - 1.11263i) q^{10} +(-0.572532 + 0.890878i) q^{11} +(-0.598324 + 0.931011i) q^{12} +(-0.623842 - 0.540562i) q^{13} +(2.15390 - 1.27037i) q^{14} +(-1.54180 + 0.221678i) q^{15} +(0.367925 + 0.424608i) q^{16} +(-2.42411 - 5.30805i) q^{17} +(-0.906863 + 0.266279i) q^{18} +(0.166950 - 0.365570i) q^{19} +(0.245330 - 1.70631i) q^{20} +(-2.60248 - 0.476568i) q^{21} -1.00090i q^{22} +(-3.24202 - 3.53402i) q^{23} -2.93629i q^{24} +(-2.16514 + 1.39145i) q^{25} +(0.772242 + 0.111032i) q^{26} +(0.909632 + 0.415415i) q^{27} +(1.31748 - 2.61489i) q^{28} +(-0.929966 - 2.03634i) q^{29} +(1.11263 - 0.964098i) q^{30} +(6.11805 - 0.879642i) q^{31} +(5.12518 + 1.50489i) q^{32} +(-0.693490 + 0.800330i) q^{33} +(4.63977 + 2.98180i) q^{34} +(3.99581 - 1.00875i) q^{35} +(-0.724731 + 0.836384i) q^{36} +(-3.05924 + 10.4188i) q^{37} +(0.0540574 + 0.375978i) q^{38} +(-0.540562 - 0.623842i) q^{39} +(1.90000 + 4.16041i) q^{40} +(-3.48835 - 11.8802i) q^{41} +(2.31277 - 0.950904i) q^{42} +(-11.9776 - 1.72211i) q^{43} +(-0.633619 - 0.985930i) q^{44} -1.55766 q^{45} +(4.38360 + 1.15331i) q^{46} +4.76463i q^{47} +(0.303752 + 0.472647i) q^{48} +(6.97946 + 0.535881i) q^{49} +(1.01051 - 2.21271i) q^{50} +(-1.64402 - 5.59901i) q^{51} +(0.830979 - 0.379495i) q^{52} +(-4.79415 + 4.15415i) q^{53} +(-0.935528 + 0.134509i) q^{54} +(0.464730 - 1.58272i) q^{55} +(0.810235 + 7.72632i) q^{56} +(0.217277 - 0.338090i) q^{57} +(1.77997 + 1.14391i) q^{58} +(-4.32793 - 3.75017i) q^{59} +(0.485665 - 1.65402i) q^{60} +(1.11823 + 7.77749i) q^{61} +(-4.41503 + 3.82565i) q^{62} +(-2.50816 - 0.842088i) q^{63} +(-5.92222 + 1.73892i) q^{64} +(1.16959 + 0.534135i) q^{65} +(0.142443 - 0.990713i) q^{66} +(0.784651 + 1.22094i) q^{67} +6.45799 q^{68} +(-2.70608 - 3.95944i) q^{69} +(-2.66165 + 2.84387i) q^{70} +(8.54463 - 5.49130i) q^{71} +(0.417877 - 2.90640i) q^{72} +(-13.8221 - 6.31233i) q^{73} +(-2.89144 - 9.84734i) q^{74} +(-2.34112 + 1.06915i) q^{75} +(0.291261 + 0.336133i) q^{76} +(1.60395 - 2.29729i) q^{77} +(0.748580 + 0.219803i) q^{78} +(1.45453 + 1.26036i) q^{79} +(-0.736223 - 0.473142i) q^{80} +(0.841254 + 0.540641i) q^{81} +(8.84424 + 7.66358i) q^{82} +(-4.40875 - 1.29453i) q^{83} +(1.67621 - 2.40078i) q^{84} +(5.95238 + 6.86941i) q^{85} +(10.4035 - 4.75110i) q^{86} +(-0.630698 - 2.14796i) q^{87} +(2.82849 + 1.29173i) q^{88} +(-1.25773 + 8.74770i) q^{89} +(1.23851 - 0.795941i) q^{90} +(1.59453 + 1.49237i) q^{91} +(5.04812 - 1.63897i) q^{92} +6.18096 q^{93} +(-2.43466 - 3.78840i) q^{94} +(-0.0890897 + 0.619633i) q^{95} +(4.85885 + 2.21896i) q^{96} +(-4.81079 + 1.41258i) q^{97} +(-5.82326 + 3.14032i) q^{98} +(-0.800330 + 0.693490i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Introduction

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