LMFDB - Embedded newform 483.2.bf.a.10.26

Newspace parameters

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bf (of order $66$, degree $20$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$32$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.26
Character	$\chi$	$=$	483.10
Dual form			483.2.bf.a.145.26

$q$-expansion

$f(q)$	$=$	$q+(0.571977 - 1.65262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.831885 - 0.654202i) q^{4} +(-0.0705413 + 0.00673588i) q^{5} +(-1.73100 + 0.248880i) q^{6} +(0.803186 - 2.52089i) q^{7} +(1.38541 - 0.890346i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(0.571977 - 1.65262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.831885 - 0.654202i) q^{4} +(-0.0705413 + 0.00673588i) q^{5} +(-1.73100 + 0.248880i) q^{6} +(0.803186 - 2.52089i) q^{7} +(1.38541 - 0.890346i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.0292162 + 0.120431i) q^{10} +(4.41243 - 1.52716i) q^{11} +(-0.200286 + 1.03918i) q^{12} +(0.351518 + 1.19716i) q^{13} +(-3.70667 - 2.76925i) q^{14} +(0.0383110 + 0.0596131i) q^{15} +(-1.17799 - 4.85575i) q^{16} +(-3.02630 - 1.21155i) q^{17} +(1.01440 + 1.42453i) q^{18} +(-3.72189 + 1.49002i) q^{19} +(0.0630889 + 0.0405448i) q^{20} +(-2.60870 + 0.441239i) q^{21} -8.16556i q^{22} +(-1.12811 + 4.66126i) q^{23} +(-1.42620 - 0.823417i) q^{24} +(-4.90471 + 0.945306i) q^{25} +(2.17951 + 0.103823i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-2.31733 + 1.57165i) q^{28} +(-0.615151 - 4.27847i) q^{29} +(0.120431 - 0.0292162i) q^{30} +(-0.962215 + 0.0458359i) q^{31} +(-5.41974 - 0.517522i) q^{32} +(-3.37928 - 3.22214i) q^{33} +(-3.73320 + 4.30834i) q^{34} +(-0.0396774 + 0.183237i) q^{35} +(1.01544 - 0.298159i) q^{36} +(2.76191 + 1.96675i) q^{37} +(0.333600 + 7.00313i) q^{38} +(0.903005 - 0.861013i) q^{39} +(-0.0917311 + 0.0721381i) q^{40} +(9.24386 + 4.22153i) q^{41} +(-0.762915 + 4.56356i) q^{42} +(5.80251 - 9.02888i) q^{43} +(-4.66970 - 1.61620i) q^{44} +(0.0354311 - 0.0613685i) q^{45} +(7.05804 + 4.53047i) q^{46} +(1.47775 - 0.853178i) q^{47} +(-3.77618 + 3.27208i) q^{48} +(-5.70979 - 4.04949i) q^{49} +(-1.24315 + 8.64631i) q^{50} +(0.309864 + 3.24504i) q^{51} +(0.490762 - 1.22587i) q^{52} +(8.16665 + 8.56494i) q^{53} +(0.801347 - 1.55440i) q^{54} +(-0.300972 + 0.137449i) q^{55} +(-1.13173 - 4.20757i) q^{56} +(3.02985 + 2.62538i) q^{57} +(-7.42253 - 1.43057i) q^{58} +(6.83435 + 1.65800i) q^{59} +(0.00712863 - 0.0746544i) q^{60} +(-12.6147 - 6.50333i) q^{61} +(-0.474615 + 1.61639i) q^{62} +(1.58756 + 2.11652i) q^{63} +(0.196092 - 0.429381i) q^{64} +(-0.0328605 - 0.0820816i) q^{65} +(-7.25784 + 3.74167i) q^{66} +(1.66794 + 8.65410i) q^{67} +(1.72494 + 2.98768i) q^{68} +(4.66003 - 1.13321i) q^{69} +(0.280127 + 0.170379i) q^{70} +(3.54828 + 4.09493i) q^{71} +(-0.0783595 + 1.64497i) q^{72} +(-5.93209 + 7.54327i) q^{73} +(4.83004 - 3.43946i) q^{74} +(3.08769 + 3.92632i) q^{75} +(4.07096 + 1.19534i) q^{76} +(-0.305796 - 12.3498i) q^{77} +(-0.906429 - 1.98480i) q^{78} +(1.78164 - 1.86853i) q^{79} +(0.115805 + 0.334597i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(12.2639 - 12.8620i) q^{82} +(6.10041 + 13.3580i) q^{83} +(2.45880 + 1.33955i) q^{84} +(0.221640 + 0.0650794i) q^{85} +(-11.6024 - 14.7536i) q^{86} +(-3.52097 + 2.50727i) q^{87} +(4.75330 - 6.04432i) q^{88} +(-0.172955 + 3.63078i) q^{89} +(-0.0811529 - 0.0936554i) q^{90} +(3.30025 + 0.0754034i) q^{91} +(3.98787 - 3.13962i) q^{92} +(0.481653 + 0.834247i) q^{93} +(-0.564740 - 2.93015i) q^{94} +(0.252511 - 0.130178i) q^{95} +(2.02348 + 5.05440i) q^{96} +(1.10887 - 2.42809i) q^{97} +(-9.95812 + 7.11989i) q^{98} +(-1.31547 + 4.48009i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) $ 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9	$ 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) $ 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	0.571977	−	1.65262i	0.404449	−	1.16858i	−0.540496	−	0.841347i	$-0.681763\pi$
$2$	0.571977	−	1.65262i	0.404449	−	1.16858i	0.944944	−	0.327231i	$-0.106116\pi$
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$4$	−0.831885	−	0.654202i	−0.415943	−	0.327101i
$5$	−0.0705413	+	0.00673588i	−0.0315470	+	0.00301238i	−0.110818	−	0.993841i	$-0.535347\pi$
$5$	−0.0705413	+	0.00673588i	−0.0315470	+	0.00301238i	0.0792706	+	0.996853i	$0.474741\pi$
$6$	−1.73100	+	0.248880i	−0.706678	+	0.101605i
$7$	0.803186	−	2.52089i	0.303576	−	0.952807i
$7$	0.803186	−	2.52089i	0.303576	−	0.952807i
$8$	1.38541	−	0.890346i	0.489815	−	0.314785i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	−0.0292162	+	0.120431i	−0.00923896	+	0.0380835i
$11$	4.41243	−	1.52716i	1.33040	−	0.460455i	0.432886	−	0.901449i	$-0.357495\pi$
$11$	4.41243	−	1.52716i	1.33040	−	0.460455i	0.897510	+	0.440994i	$0.145374\pi$
$12$	−0.200286	+	1.03918i	−0.0578175	+	0.299986i
$13$	0.351518	+	1.19716i	0.0974937	+	0.332033i	0.993768	−	0.111467i	$-0.0355549\pi$
$13$	0.351518	+	1.19716i	0.0974937	+	0.332033i	−0.896274	+	0.443500i	$0.853737\pi$
$14$	−3.70667	−	2.76925i	−0.990649	−	0.740114i
$15$	0.0383110	+	0.0596131i	0.00989186	+	0.0153920i
$16$	−1.17799	−	4.85575i	−0.294498	−	1.21394i
$17$	−3.02630	−	1.21155i	−0.733985	−	0.293843i	−0.0256028	−	0.999672i	$-0.508151\pi$
$17$	−3.02630	−	1.21155i	−0.733985	−	0.293843i	−0.708382	+	0.705829i	$0.750575\pi$
$18$	1.01440	+	1.42453i	0.239097	+	0.335765i
$19$	−3.72189	+	1.49002i	−0.853861	+	0.341834i	−0.756961	−	0.653460i	$-0.773317\pi$
$19$	−3.72189	+	1.49002i	−0.853861	+	0.341834i	−0.0968996	+	0.995294i	$0.530893\pi$
$20$	0.0630889	+	0.0405448i	0.0141071	+	0.00906609i
$21$	−2.60870	+	0.441239i	−0.569265	+	0.0962863i
$22$		−	8.16556i		−	1.74090i
$23$	−1.12811	+	4.66126i	−0.235227	+	0.971940i
$23$	−1.12811	+	4.66126i	−0.235227	+	0.971940i
$24$	−1.42620	−	0.823417i	−0.291122	−	0.168079i
$25$	−4.90471	+	0.945306i	−0.980943	+	0.189061i
$26$	2.17951	+	0.103823i	0.427438	+	0.0203614i
$27$	0.989821	+	0.142315i	0.190491	+	0.0273885i
$28$	−2.31733	+	1.57165i	−0.437934	+	0.297013i
$29$	−0.615151	−	4.27847i	−0.114231	−	0.794491i	−0.963726	−	0.266895i	$-0.914002\pi$
$29$	−0.615151	−	4.27847i	−0.114231	−	0.794491i	0.849495	−	0.527597i	$-0.176907\pi$
$30$	0.120431	−	0.0292162i	0.0219875	−	0.00533412i
$31$	−0.962215	+	0.0458359i	−0.172819	+	0.00823238i	−0.133813	−	0.991007i	$-0.542722\pi$
$31$	−0.962215	+	0.0458359i	−0.172819	+	0.00823238i	−0.0390059	+	0.999239i	$0.512419\pi$
$32$	−5.41974	−	0.517522i	−0.958084	−	0.0914859i
$33$	−3.37928	−	3.22214i	−0.588257	−	0.560902i
$34$	−3.73320	+	4.30834i	−0.640238	+	0.738874i
$35$	−0.0396774	+	0.183237i	−0.00670670	+	0.0309727i
$36$	1.01544	−	0.298159i	0.169240	−	0.0496932i
$37$	2.76191	+	1.96675i	0.454056	+	0.323332i	0.784101	−	0.620634i	$-0.213125\pi$
$37$	2.76191	+	1.96675i	0.454056	+	0.323332i	−0.330045	+	0.943965i	$0.607064\pi$
$38$	0.333600	+	7.00313i	0.0541171	+	1.13606i
$39$	0.903005	−	0.861013i	0.144597	−	0.137872i
$40$	−0.0917311	+	0.0721381i	−0.0145040	+	0.0114060i
$41$	9.24386	+	4.22153i	1.44365	+	0.659292i	0.974615	−	0.223889i	$-0.0718752\pi$
$41$	9.24386	+	4.22153i	1.44365	+	0.659292i	0.469033	+	0.883180i	$0.344602\pi$
$42$	−0.762915	+	4.56356i	−0.117720	+	0.704173i
$43$	5.80251	−	9.02888i	0.884874	−	1.37689i	−0.0410401	−	0.999157i	$-0.513067\pi$
$43$	5.80251	−	9.02888i	0.884874	−	1.37689i	0.925914	−	0.377734i	$-0.123296\pi$
$44$	−4.66970	−	1.61620i	−0.703984	−	0.243651i
$45$	0.0354311	−	0.0613685i	0.00528176	−	0.00914827i
$46$	7.05804	+	4.53047i	1.04065	+	0.667982i
$47$	1.47775	−	0.853178i	0.215552	−	0.124449i	−0.388337	−	0.921517i	$-0.626950\pi$
$47$	1.47775	−	0.853178i	0.215552	−	0.124449i	0.603889	+	0.797069i	$0.293617\pi$
$48$	−3.77618	+	3.27208i	−0.545044	+	0.472284i
$49$	−5.70979	−	4.04949i	−0.815684	−	0.578498i
$50$	−1.24315	+	8.64631i	−0.175808	+	1.22277i
$51$	0.309864	+	3.24504i	0.0433897	+	0.454397i
$52$	0.490762	−	1.22587i	0.0680565	−	0.169997i
$53$	8.16665	+	8.56494i	1.12178	+	1.17648i	0.982506	+	0.186230i	$0.0596271\pi$
$53$	8.16665	+	8.56494i	1.12178	+	1.17648i	0.139270	+	0.990254i	$0.455524\pi$
$54$	0.801347	−	1.55440i	0.109050	−	0.211527i
$55$	−0.300972	+	0.137449i	−0.0405830	+	0.0185336i
$56$	−1.13173	−	4.20757i	−0.151233	−	0.562260i
$57$	3.02985	+	2.62538i	0.401314	+	0.347740i
$58$	−7.42253	−	1.43057i	−0.974625	−	0.187844i
$59$	6.83435	+	1.65800i	0.889757	+	0.215853i	0.654483	−	0.756077i	$-0.272886\pi$
$59$	6.83435	+	1.65800i	0.889757	+	0.215853i	0.235273	+	0.971929i	$0.424401\pi$
$60$	0.00712863	−	0.0746544i	0.000920302	−	0.00963784i
$61$	−12.6147	−	6.50333i	−1.61515	−	0.832666i	−0.998985	−	0.0450469i	$-0.985656\pi$
$61$	−12.6147	−	6.50333i	−1.61515	−	0.832666i	−0.616162	−	0.787619i	$-0.711313\pi$
$62$	−0.474615	+	1.61639i	−0.0602762	+	0.205282i
$63$	1.58756	+	2.11652i	0.200014	+	0.266656i
$64$	0.196092	−	0.429381i	0.0245115	−	0.0536726i
$65$	−0.0328605	−	0.0820816i	−0.00407585	−	0.0101810i
$66$	−7.25784	+	3.74167i	−0.893378	+	0.460568i
$67$	1.66794	+	8.65410i	0.203771	+	1.05727i	0.929370	+	0.369149i	$0.120351\pi$
$67$	1.66794	+	8.65410i	0.203771	+	1.05727i	−0.725599	+	0.688118i	$0.758437\pi$
$68$	1.72494	+	2.98768i	0.209179	+	0.362309i
$69$	4.66003	−	1.13321i	0.561001	−	0.136422i
$70$	0.280127	+	0.170379i	0.0334815	+	0.0203642i
$71$	3.54828	+	4.09493i	0.421103	+	0.485979i	0.926173	−	0.377099i	$-0.123079\pi$
$71$	3.54828	+	4.09493i	0.421103	+	0.485979i	−0.505069	+	0.863079i	$0.668533\pi$
$72$	−0.0783595	+	1.64497i	−0.00923476	+	0.193861i
$73$	−5.93209	+	7.54327i	−0.694299	+	0.882873i	−0.997544	−	0.0700394i	$-0.977687\pi$
$73$	−5.93209	+	7.54327i	−0.694299	+	0.882873i	0.303245	+	0.952913i	$0.401930\pi$
$74$	4.83004	−	3.43946i	0.561481	−	0.399829i
$75$	3.08769	+	3.92632i	0.356536	+	0.453372i
$76$	4.07096	+	1.19534i	0.466971	+	0.137115i
$77$	−0.305796	−	12.3498i	−0.0348487	−	1.40739i
$78$	−0.906429	−	1.98480i	−0.102633	−	0.224735i
$79$	1.78164	−	1.86853i	0.200450	−	0.210226i	−0.615835	−	0.787875i	$-0.711181\pi$
$79$	1.78164	−	1.86853i	0.200450	−	0.210226i	0.816285	+	0.577649i	$0.196030\pi$
$80$	0.115805	+	0.334597i	0.0129474	+	0.0374090i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	12.2639	−	12.8620i	1.35432	−	1.42037i
$83$	6.10041	+	13.3580i	0.669607	+	1.46624i	0.873291	+	0.487199i	$0.161981\pi$
$83$	6.10041	+	13.3580i	0.669607	+	1.46624i	−0.203684	+	0.979037i	$0.565291\pi$
$84$	2.45880	+	1.33955i	0.268277	+	0.146157i
$85$	0.221640	+	0.0650794i	0.0240402	+	0.00705885i
$86$	−11.6024	−	14.7536i	−1.25112	−	1.59093i
$87$	−3.52097	+	2.50727i	−0.377488	+	0.268808i
$88$	4.75330	−	6.04432i	0.506704	−	0.644326i
$89$	−0.172955	+	3.63078i	−0.0183332	+	0.384862i	0.970990	+	0.239121i	$0.0768594\pi$
$89$	−0.172955	+	3.63078i	−0.0183332	+	0.384862i	−0.989323	+	0.145740i	$0.953444\pi$
$90$	−0.0811529	−	0.0936554i	−0.00855427	−	0.00987215i
$91$	3.30025	+	0.0754034i	0.345960	+	0.00790442i
$92$	3.98787	−	3.13962i	0.415764	−	0.327328i
$93$	0.481653	+	0.834247i	0.0499451	+	0.0865074i
$94$	−0.564740	−	2.93015i	−0.0582485	−	0.302222i
$95$	0.252511	−	0.130178i	0.0259070	−	0.0133560i
$96$	2.02348	+	5.05440i	0.206520	+	0.515863i
$97$	1.10887	−	2.42809i	0.112589	−	0.246535i	−0.844947	−	0.534851i	$-0.820368\pi$
$97$	1.10887	−	2.42809i	0.112589	−	0.246535i	0.957535	+	0.288315i	$0.0930952\pi$
$98$	−9.95812	+	7.11989i	−1.00592	+	0.719217i
$99$	−1.31547	+	4.48009i	−0.132210	+	0.450266i
$100$	4.69858	+	2.42229i	0.469858	+	0.242229i
$101$	0.974389	−	10.2043i	0.0969554	−	1.01536i	−0.807807	−	0.589447i	$-0.799346\pi$
$101$	0.974389	−	10.2043i	0.0969554	−	1.01536i	0.904763	−	0.425916i	$-0.140048\pi$
$102$	5.54006	+	1.34400i	0.548547	+	0.133076i
$103$	14.6043	+	2.81475i	1.43900	+	0.277345i	0.848288	−	0.529535i	$-0.177634\pi$
$103$	14.6043	+	2.81475i	1.43900	+	0.277345i	0.590715	+	0.806880i	$0.298846\pi$
$104$	1.55288	+	1.34558i	0.152273	+	0.131945i
$105$	0.181049	−	0.0486975i	0.0176686	−	0.00475239i
$106$	18.8257	−	8.59742i	1.82852	−	0.835055i
$107$	−2.15840	+	4.18671i	−0.208660	+	0.404745i	−0.969821	−	0.243819i	$-0.921600\pi$
$107$	−2.15840	+	4.18671i	−0.208660	+	0.404745i	0.761160	+	0.648564i	$0.224630\pi$
$108$	−0.730315	−	0.765933i	−0.0702746	−	0.0737019i
$109$	−0.639600	+	1.59764i	−0.0612626	+	0.153026i	−0.955841	−	0.293885i	$-0.905052\pi$
$109$	−0.639600	+	1.59764i	−0.0612626	+	0.153026i	0.894578	+	0.446911i	$0.147476\pi$
$110$	0.0550022	+	0.576009i	0.00524425	+	0.0549203i
$111$	0.482535	−	3.35610i	0.0458002	−	0.318547i
$112$	−13.1870	−	0.930479i	−1.24605	−	0.0879220i
$113$	13.3564	−	11.5734i	1.25646	−	1.08873i	0.264212	−	0.964465i	$-0.414888\pi$
$113$	13.3564	−	11.5734i	1.25646	−	1.08873i	0.992249	−	0.124265i	$-0.0396574\pi$
$114$	6.07176	−	3.50553i	0.568673	−	0.328323i
$115$	0.0481808	−	0.336410i	0.00449288	−	0.0313704i
$116$	−2.28725	+	3.96163i	−0.212365	+	0.367828i
$117$	−1.17908	−	0.408084i	−0.109006	−	0.0377273i
$118$	6.64912	−	10.3462i	0.612102	−	0.952449i
$119$	−5.48486	+	6.65587i	−0.502796	+	0.610143i
$120$	0.106153	+	0.0484782i	0.00969036	+	0.00442544i
$121$	8.49071	−	6.67717i	0.771883	−	0.607016i
$122$	−17.9628	+	17.1275i	−1.62628	+	1.55065i
$123$	−0.483537	−	10.1507i	−0.0435990	−	0.915256i
$124$	0.830438	+	0.591352i	0.0745755	+	0.0531050i
$125$	0.679576	−	0.199542i	0.0607832	−	0.0178475i
$126$	4.40584	−	1.41304i	0.392504	−	0.125884i
$127$	−9.28054	+	10.7103i	−0.823515	+	0.950387i	−0.999421	−	0.0340200i	$-0.989169\pi$
$127$	−9.28054	+	10.7103i	−0.823515	+	0.950387i	0.175906	+	0.984407i	$0.443714\pi$
$128$	−8.47803	−	8.08378i	−0.749359	−	0.714512i
$129$	−10.6841	−	1.02020i	−0.940678	−	0.0898239i
$130$	−0.154445	+	0.00735713i	−0.0135457	+	0.000645263i
$131$	−17.7690	+	4.31071i	−1.55248	+	0.376628i	−0.918087	−	0.396380i	$-0.870266\pi$
$131$	−17.7690	+	4.31071i	−1.55248	+	0.376628i	−0.634396	+	0.773008i	$0.718751\pi$
$132$	0.703246	+	4.89118i	0.0612097	+	0.425723i
$133$	0.766811	+	10.5793i	0.0664909	+	0.917337i
$134$	15.2560	+	2.19347i	1.31791	+	0.189487i
$135$	−0.0707819	−	0.00337176i	−0.00609194	−	0.000290195i
$136$	−5.27135	+	1.01597i	−0.452014	+	0.0871186i
$137$	5.71991	+	3.30239i	0.488685	+	0.282142i	0.724029	−	0.689770i	$-0.242288\pi$
$137$	5.71991	+	3.30239i	0.488685	+	0.282142i	−0.235344	+	0.971912i	$0.575622\pi$
$138$	0.792665	−	8.34942i	0.0674761	−	0.710749i
$139$		−	6.38369i		−	0.541458i	−0.962656	−	0.270729i	$-0.912735\pi$
$139$		−	6.38369i		−	0.541458i	0.962656	−	0.270729i	$-0.0872647\pi$
$140$	0.152881	−	0.126475i	0.0129208	−	0.0106891i
$141$	−1.43548	−	0.922525i	−0.120889	−	0.0776906i
$142$	8.79690	−	3.52175i	0.738220	−	0.295539i
$143$	3.37930	+	4.74556i	0.282591	+	0.396844i
$144$	4.63868	+	1.85705i	0.386557	+	0.154754i
$145$	0.0722128	+	0.297665i	0.00599694	+	0.0247197i
$146$	9.07313	+	14.1181i	0.750898	+	1.16842i
$147$	−0.982952	+	6.93064i	−0.0810725	+	0.571630i
$148$	−1.01094	−	3.44296i	−0.0830991	−	0.283010i
$149$	1.41381	−	7.33555i	0.115824	−	0.600952i	−0.876913	−	0.480649i	$-0.840401\pi$
$149$	1.41381	−	7.33555i	0.115824	−	0.600952i	0.992737	−	0.120303i	$-0.0383866\pi$
$150$	8.25480	−	2.85701i	0.674001	−	0.233274i
$151$	2.78495	−	11.4797i	0.226636	−	0.934206i	−0.738875	−	0.673843i	$-0.764643\pi$
$151$	2.78495	−	11.4797i	0.226636	−	0.934206i	0.965511	−	0.260363i	$-0.0838423\pi$
$152$	−3.82970	+	5.37806i	−0.310629	+	0.436218i
$153$	2.74232	−	1.76238i	0.221704	−	0.142480i
$154$	−20.5845	−	6.55846i	−1.65874	−	0.528495i
$155$	0.0675672	−	0.00971469i	0.00542712	−	0.000780303i
$156$	−1.31447	+	0.125517i	−0.105242	+	0.0100494i
$157$	2.41499	+	1.89917i	0.192737	+	0.151570i	0.709865	−	0.704338i	$-0.248756\pi$
$157$	2.41499	+	1.89917i	0.192737	+	0.151570i	−0.517127	+	0.855909i	$0.672999\pi$
$158$	−2.06891	−	4.01313i	−0.164594	−	0.319268i
$159$	3.87064	−	11.1835i	0.306962	−	0.886909i
$160$	0.385802			0.0305003
$161$	10.8445	+	6.58770i	0.854663	+	0.519184i
$162$	−1.74880			−0.137399
$163$	−5.47480	+	15.8184i	−0.428819	+	1.23899i	0.499209	+	0.866482i	$0.333624\pi$
$163$	−5.47480	+	15.8184i	−0.428819	+	1.23899i	−0.928028	+	0.372510i	$0.878497\pi$
$164$	−4.92810	−	9.55918i	−0.384820	−	0.746446i
$165$	0.260083	+	0.204531i	0.0202474	+	0.0159227i
$166$	25.5650	−	2.44117i	1.98423	−	0.189471i
$167$	−12.8790	+	1.85173i	−0.996611	+	0.143291i	−0.621271	−	0.783596i	$-0.713383\pi$
$167$	−12.8790	+	1.85173i	−0.996611	+	0.143291i	−0.375340	+	0.926887i	$0.622474\pi$
$168$	−3.22125	+	2.93394i	−0.248525	+	0.226358i
$169$	9.62666	−	6.18668i	0.740513	−	0.475899i
$170$	0.234324	−	0.329062i	0.0179719	−	0.0252379i
$171$	0.945174	−	3.89606i	0.0722793	−	0.297939i
$172$	−10.7337	+	3.71498i	−0.818439	+	0.283265i
$173$	−2.74269	+	14.2304i	−0.208523	+	1.08192i	0.715218	+	0.698901i	$0.246327\pi$
$173$	−2.74269	+	14.2304i	−0.208523	+	1.08192i	−0.923741	+	0.383017i	$0.874885\pi$
$174$	2.12965	+	7.25293i	0.161449	+	0.549843i
$175$	−1.55638	+	13.1235i	−0.117651	+	0.992044i
$176$	−12.6133	−	19.6267i	−0.950763	−	1.47942i
$177$	−1.65800	−	6.83435i	−0.124623	−	0.513701i
$178$	5.90136	+	2.36255i	0.442326	+	0.177081i
$179$	−8.67661	−	12.1846i	−0.648520	−	0.910719i	0.351152	−	0.936318i	$-0.385790\pi$
$179$	−8.67661	−	12.1846i	−0.648520	−	0.910719i	−0.999672	+	0.0255994i	$0.991851\pi$
$180$	−0.0696220	+	0.0278724i	−0.00518932	+	0.00207749i
$181$	6.71312	+	4.31426i	0.498982	+	0.320676i	0.765809	−	0.643068i	$-0.222339\pi$
$181$	6.71312	+	4.31426i	0.498982	+	0.320676i	−0.266827	+	0.963744i	$0.585975\pi$
$182$	2.01228	−	5.41093i	0.149160	−	0.401085i
$183$			14.1924i			1.04913i
$184$	2.58724	+	7.46215i	0.190734	+	0.550117i
$185$	−0.208077	−	0.120133i	−0.0152981	−	0.00883237i
$186$	1.65419	−	0.318818i	0.121291	−	0.0233769i
$187$	−15.2035	−	0.724234i	−1.11179	−	0.0529612i
$188$	−1.78747	−	0.256999i	−0.130364	−	0.0187436i
$189$	1.15377	−	2.38093i	0.0839245	−	0.173187i
$190$	−0.0707048	−	0.491763i	−0.00512947	−	0.0356762i
$191$	−7.47967	+	1.81455i	−0.541210	+	0.131296i	−0.497039	−	0.867728i	$-0.665580\pi$
$191$	−7.47967	+	1.81455i	−0.541210	+	0.131296i	−0.0441702	+	0.999024i	$0.514064\pi$
$192$	−0.471503	+	0.0224605i	−0.0340278	+	0.00162095i
$193$	−12.5844	−	1.20167i	−0.905847	−	0.0864979i	−0.368276	−	0.929717i	$-0.620052\pi$
$193$	−12.5844	−	1.20167i	−0.905847	−	0.0864979i	−0.537571	+	0.843219i	$0.680658\pi$
$194$	−3.37846	−	3.22135i	−0.242559	−	0.231280i
$195$	−0.0578995	+	0.0668196i	−0.00414627	+	0.00478505i
$196$	2.10070	+	7.10406i	0.150050	+	0.507433i
$197$	6.36623	−	1.86930i	0.453575	−	0.133182i	−0.0469620	−	0.998897i	$-0.514954\pi$
$197$	6.36623	−	1.86930i	0.453575	−	0.133182i	0.500537	+	0.865715i	$0.333136\pi$
$198$	6.65147	+	4.73649i	0.472699	+	0.336607i
$199$	0.322390	+	6.76779i	0.0228536	+	0.479756i	0.981063	+	0.193688i	$0.0620451\pi$
$199$	0.322390	+	6.76779i	0.0228536	+	0.479756i	−0.958209	+	0.286067i	$0.907652\pi$
$200$	−5.95337	+	5.67652i	−0.420967	+	0.401391i
$201$	6.92778	−	5.44806i	0.488648	−	0.384277i
$202$	−16.3064	−	7.44690i	−1.14732	−	0.523962i
$203$	−11.2796	−	1.88567i	−0.791675	−	0.132348i
$204$	1.86514	−	2.90222i	0.130586	−	0.203196i
$205$	−0.680510	−	0.235527i	−0.0475289	−	0.0164499i
$206$	13.0050	−	22.5253i	0.906102	−	1.56942i
$207$	−3.14258	−	3.62273i	−0.218425	−	0.251797i
$208$	5.39904	−	3.11714i	0.374356	−	0.216134i
$209$	−14.1471	+	12.2585i	−0.978574	+	0.847939i
$210$	0.0230774	−	0.327059i	0.00159249	−	0.0225692i
$211$	−2.05769	+	14.3115i	−0.141657	+	0.985246i	0.787699	+	0.616061i	$0.211272\pi$
$211$	−2.05769	+	14.3115i	−0.141657	+	0.985246i	−0.929356	+	0.369185i	$0.879637\pi$
$212$	−1.19052	−	12.4677i	−0.0817652	−	0.856284i
$213$	2.01381	−	5.03025i	0.137984	−	0.344667i
$214$	5.68448	+	5.96172i	0.388583	+	0.407534i
$215$	−0.348499	+	0.675994i	−0.0237674	+	0.0461024i
$216$	1.49801	−	0.684120i	0.101927	−	0.0465485i
$217$	−0.657290	+	2.46245i	−0.0446197	+	0.167162i
$218$	2.27446	+	1.97083i	0.154046	+	0.133481i
$219$	9.42297	+	1.81613i	0.636745	+	0.122723i
$220$	0.340293	+	0.0825543i	0.0229426	+	0.00556581i
$221$	0.386618	−	4.04885i	0.0260068	−	0.272355i
$222$	−5.27036	−	2.71706i	−0.353724	−	0.182357i
$223$	−5.48632	+	18.6847i	−0.367391	+	1.25122i	0.543792	+	0.839220i	$0.316988\pi$
$223$	−5.48632	+	18.6847i	−0.367391	+	1.25122i	−0.911184	+	0.412001i	$0.864830\pi$
$224$	−5.65768	+	13.2469i	−0.378019	+	0.885096i
$225$	2.07499	−	4.54359i	0.138333	−	0.302906i
$226$	−11.4868	−	28.6927i	−0.764092	−	1.90861i
$227$	19.1837	−	9.88986i	1.27326	−	0.656413i	0.316864	−	0.948471i	$-0.397370\pi$
$227$	19.1837	−	9.88986i	1.27326	−	0.656413i	0.956401	+	0.292058i	$0.0943399\pi$
$228$	−0.802960	−	4.16615i	−0.0531773	−	0.275910i
$229$	1.03089	+	1.78555i	0.0681231	+	0.117993i	0.898075	−	0.439842i	$-0.144966\pi$
$229$	1.03089	+	1.78555i	0.0681231	+	0.117993i	−0.829952	+	0.557835i	$0.811632\pi$
$230$	−0.528400	−	0.272043i	−0.0348417	−	0.0179380i
$231$	−10.8368	+	5.93082i	−0.713012	+	0.390220i
$232$	−4.66155	−	5.37971i	−0.306046	−	0.353196i
$233$	0.179306	−	3.76410i	0.0117467	−	0.246594i	−0.985355	−	0.170515i	$-0.945457\pi$
$233$	0.179306	−	3.76410i	0.0117467	−	0.246594i	0.997102	−	0.0760792i	$-0.0242402\pi$
$234$	−1.34881	+	1.71516i	−0.0881747	+	0.112123i
$235$	−0.0984953	+	0.0701382i	−0.00642513	+	0.00457531i
$236$	−4.60073	−	5.85031i	−0.299482	−	0.380822i
$237$	−2.47721	−	0.727376i	−0.160912	−	0.0472481i
$238$	7.86241	+	12.8714i	0.509644	+	0.834328i
$239$	6.26552	+	13.7196i	0.405283	+	0.887446i	0.996707	+	0.0810852i	$0.0258386\pi$
$239$	6.26552	+	13.7196i	0.405283	+	0.887446i	−0.591424	+	0.806361i	$0.701434\pi$
$240$	0.244336	−	0.256253i	0.0157718	−	0.0165410i
$241$	−5.07453	−	14.6619i	−0.326879	−	0.944455i	−0.981992	−	0.188924i	$-0.939500\pi$
$241$	−5.07453	−	14.6619i	−0.326879	−	0.944455i	0.655113	−	0.755531i	$-0.272621\pi$
$242$	−6.17833	−	17.8511i	−0.397158	−	1.14751i
$243$	−0.690079	+	0.723734i	−0.0442686	+	0.0464276i
$244$	6.23949	+	13.6626i	0.399443	+	0.874657i
$245$	0.430053	+	0.247196i	0.0274751	+	0.0157928i
$246$	−17.0518	−	5.00686i	−1.08718	−	0.319225i
$247$	−3.09211	−	3.93194i	−0.196746	−	0.250183i
$248$	−1.29225	+	0.920205i	−0.0820578	+	0.0584331i
$249$	9.07773	−	11.5433i	0.575278	−	0.731525i
$250$	0.0589358	−	1.23721i	0.00372742	−	0.0782483i
$251$	3.00921	+	3.47281i	0.189940	+	0.219202i	0.842730	−	0.538337i	$-0.180947\pi$
$251$	3.00921	+	3.47281i	0.189940	+	0.219202i	−0.652790	+	0.757539i	$0.726402\pi$
$252$	0.0639575	−	2.79929i	0.00402894	−	0.176338i
$253$	2.14077	+	22.2903i	0.134589	+	1.40138i
$254$	12.3918	+	21.4633i	0.777532	+	1.34672i
$255$	−0.0437165	−	0.226823i	−0.00273763	−	0.0142042i
$256$	−17.3695	+	8.95461i	−1.08560	+	0.559663i
$257$	2.04082	+	5.09771i	0.127303	+	0.317986i	0.978303	−	0.207178i	$-0.0664280\pi$
$257$	2.04082	+	5.09771i	0.127303	+	0.317986i	−0.851001	+	0.525165i	$0.824004\pi$
$258$	−7.79704	+	17.0731i	−0.485422	+	1.06293i
$259$	7.17629	−	5.38282i	0.445913	−	0.334472i
$260$	−0.0263618	+	0.0897799i	−0.00163489	+	0.00556791i
$261$	3.84196	+	1.98067i	0.237811	+	0.122600i
$262$	−3.03949	+	31.8310i	−0.187780	+	1.96652i
$263$	2.85211	+	0.691915i	0.175869	+	0.0426653i	0.322726	−	0.946492i	$-0.395401\pi$
$263$	2.85211	+	0.691915i	0.175869	+	0.0426653i	−0.146857	+	0.989158i	$0.546916\pi$
$264$	−7.55049	−	1.45524i	−0.464701	−	0.0895637i
$265$	−0.633779	−	0.549173i	−0.0389327	−	0.0337354i
$266$	17.9221	+	4.78384i	1.09887	+	0.293316i
$267$	3.30642	−	1.50999i	0.202349	−	0.0924099i
$268$	4.27399	−	8.29039i	0.261076	−	0.506416i
$269$	−17.5234	−	18.3780i	−1.06842	−	1.12053i	−0.992354	−	0.123426i	$-0.960612\pi$
$269$	−17.5234	−	18.3780i	−1.06842	−	1.12053i	−0.0760682	−	0.997103i	$-0.524237\pi$
$270$	−0.0460579	+	0.115047i	−0.00280299	+	0.00700154i
$271$	0.823903	+	8.62830i	0.0500485	+	0.524132i	0.985381	+	0.170363i	$0.0544940\pi$
$271$	0.823903	+	8.62830i	0.0500485	+	0.524132i	−0.935333	+	0.353769i	$0.884900\pi$
$272$	−2.31802	+	16.1222i	−0.140550	+	0.977549i
$273$	−1.44524	−	2.96793i	−0.0874699	−	0.179627i
$274$	8.72925	−	7.56393i	0.527353	−	0.456954i
$275$	−20.1981	+	11.6614i	−1.21799	+	0.703206i
$276$	−4.61795	−	2.10590i	−0.277968	−	0.126760i
$277$	−9.28139	+	16.0758i	−0.557665	+	0.965904i	0.440026	+	0.897985i	$0.354969\pi$
$277$	−9.28139	+	16.0758i	−0.557665	+	0.965904i	−0.997691	+	0.0679188i	$0.978364\pi$
$278$	−10.5498	−	3.65132i	−0.632735	−	0.218992i
$279$	0.520802	−	0.810384i	0.0311796	−	0.0485164i
$280$	0.108175	+	0.289184i	0.00646471	+	0.0172821i
$281$	−9.86995	−	4.50746i	−0.588792	−	0.268892i	0.0986612	−	0.995121i	$-0.468544\pi$
$281$	−9.86995	−	4.50746i	−0.588792	−	0.268892i	−0.687453	+	0.726229i	$0.741271\pi$
$282$	−2.34564	+	1.84463i	−0.139681	+	0.109846i
$283$	−17.4301	+	16.6196i	−1.03611	+	0.987932i	−0.999935	−	0.0114136i	$-0.996367\pi$
$283$	−17.4301	+	16.6196i	−1.03611	+	0.987932i	−0.0361782	+	0.999345i	$0.511518\pi$
$284$	−0.272849	−	5.72781i	−0.0161906	−	0.339883i
$285$	−0.231414	−	0.164789i	−0.0137078	−	0.00976127i
$286$	9.77549	−	2.87034i	0.578037	−	0.169727i
$287$	18.0665	−	19.9121i	1.06643	−	1.17537i
$288$	3.56532	−	4.11460i	0.210088	−	0.242455i
$289$	−4.61284	−	4.39834i	−0.271344	−	0.258726i
$290$	0.533231	+	0.0509174i	0.0313124	+	0.00298997i
$291$	−2.66629	+	0.127011i	−0.156300	+	0.00744551i
$292$	9.86964	−	2.39435i	0.577577	−	0.140119i
$293$	−2.06493	−	14.3619i	−0.120634	−	0.839030i	−0.956840	−	0.290615i	$-0.906140\pi$
$293$	−2.06493	−	14.3619i	−0.120634	−	0.839030i	0.836206	−	0.548416i	$-0.184769\pi$
$294$	10.8915	+	5.58861i	0.635204	+	0.325935i
$295$	−0.493272	−	0.0709218i	−0.0287194	−	0.00412923i
$296$	5.57746	+	0.265687i	0.324183	+	0.0154427i
$297$	4.58485	−	0.883658i	0.266040	−	0.0512750i
$298$	−11.3142	−	6.53226i	−0.655414	−	0.378403i
$299$	−5.97684	+	0.287988i	−0.345649	+	0.0166548i
$300$		−	5.28622i		−	0.305200i
$301$	−18.1003	−	21.8794i	−1.04329	−	1.26111i
$302$	−17.3787	−	11.1686i	−1.00003	−	0.642680i
$303$	−9.51641	+	3.80979i	−0.546703	+	0.218867i
$304$	11.6195	+	16.3174i	0.666426	+	0.935865i
$305$	0.933663	+	0.373782i	0.0534614	+	0.0214027i
$306$	−1.34400	−	5.54006i	−0.0768316	−	0.316704i
$307$	−14.5583	−	22.6532i	−0.830889	−	1.29289i	−0.953792	−	0.300469i	$-0.902857\pi$
$307$	−14.5583	−	22.6532i	−0.830889	−	1.29289i	0.122903	−	0.992419i	$-0.460780\pi$
$308$	−7.82490	+	10.4737i	−0.445865	+	0.596794i
$309$	−4.19023	−	14.2706i	−0.238374	−	0.811826i
$310$	0.0225922	−	0.117219i	0.00128315	−	0.00665761i
$311$	0.277342	−	0.0959891i	0.0157266	−	0.00544304i	−0.319193	−	0.947690i	$-0.603412\pi$
$311$	0.277342	−	0.0959891i	0.0157266	−	0.00544304i	0.334920	+	0.942247i	$0.391291\pi$
$312$	0.484428	−	1.99684i	0.0274253	−	0.113049i
$313$	18.1767	−	25.5255i	1.02741	−	1.44279i	0.135385	−	0.990793i	$-0.456773\pi$
$313$	18.1767	−	25.5255i	1.02741	−	1.44279i	0.892020	−	0.451996i	$-0.149288\pi$
$314$	4.51993	−	2.90478i	0.255074	−	0.163926i
$315$	−0.126245	−	0.138608i	−0.00711313	−	0.00780969i
$316$	−2.70452	+	0.388851i	−0.152141	+	0.0218746i
$317$	−11.2029	+	1.06975i	−0.629220	+	0.0600832i	−0.404794	−	0.914408i	$-0.632657\pi$
$317$	−11.2029	+	1.06975i	−0.629220	+	0.0600832i	−0.224426	+	0.974491i	$0.572051\pi$
$318$	−16.2681	−	12.7934i	−0.912272	−	0.717418i
$319$	−9.24819	−	17.9390i	−0.517799	−	1.00439i
$320$	−0.0109403	+	0.0316100i	−0.000611582	+	0.00176705i
$321$	4.71033			0.262905
$322$	17.0897	−	14.1537i	0.952374	−	0.788757i
$323$	13.0688			0.727167
$324$	−0.346138	+	1.00010i	−0.0192299	+	0.0555612i
$325$	−2.85578	−	5.53944i	−0.158410	−	0.307273i
$326$	23.0103	+	18.0955i	1.27442	+	1.00222i
$327$	1.71312	−	0.163583i	0.0947360	−	0.00904619i
$328$	16.5651	−	2.38170i	0.914655	−	0.131508i
$329$	−0.963863	−	4.41050i	−0.0531395	−	0.243159i
$330$	0.486774	−	0.312831i	0.0267960	−	0.0172208i
$331$	1.20887	−	1.69762i	0.0664455	−	0.0933097i	−0.780016	−	0.625760i	$-0.784789\pi$
$331$	1.20887	−	1.69762i	0.0664455	−	0.0933097i	0.846462	+	0.532450i	$0.178729\pi$
$332$	3.66401	−	15.1033i	0.201089	−	0.828899i
$333$	−3.20413	+	1.10896i	−0.175585	+	0.0607707i
$334$	−4.30632	+	22.3433i	−0.235631	+	1.22257i
$335$	−0.175952	−	0.599237i	−0.00961327	−	0.0327398i
$336$	5.21558	+	12.1474i	0.284533	+	0.662696i
$337$	−2.56568	−	3.99227i	−0.139761	−	0.217473i	0.764316	−	0.644842i	$-0.223077\pi$
$337$	−2.56568	−	3.99227i	−0.139761	−	0.217473i	−0.904077	+	0.427369i	$0.859440\pi$
$338$	−4.71800	−	19.4478i	−0.256625	−	1.05782i
$339$	−16.4071	−	6.56839i	−0.891109	−	0.356746i
$340$	−0.141804	−	0.199136i	−0.00769040	−	0.0107997i
$341$	−4.17570	+	1.67170i	−0.226127	+	0.0905276i
$342$	−5.89809	−	3.79047i	−0.318932	−	0.204965i
$343$	−14.7943	+	11.1413i	−0.798819	+	0.601571i
$344$		−	17.6749i		−	0.952967i
$345$	−0.321091	+	0.111327i	−0.0172870	+	0.00599367i
$346$	21.9487	+	12.6721i	1.17997	+	0.681256i
$347$	7.45738	−	1.43729i	0.400333	−	0.0771579i	0.0148893	−	0.999889i	$-0.495260\pi$
$347$	7.45738	−	1.43729i	0.400333	−	0.0771579i	0.385444	+	0.922731i	$0.374048\pi$
$348$	4.56931	+	0.217663i	0.244941	+	0.0116680i
$349$	−8.76696	−	1.26050i	−0.469285	−	0.0674729i	−0.0963840	−	0.995344i	$-0.530728\pi$
$349$	−8.76696	−	1.26050i	−0.469285	−	0.0674729i	−0.372901	+	0.927871i	$0.621637\pi$
$350$	20.7979	+	10.0784i	1.11170	+	0.538716i
$351$	0.177567	+	1.23500i	0.00947780	+	0.0659196i
$352$	−24.7045	+	5.99326i	−1.31676	+	0.319442i
$353$	34.8138	−	1.65839i	1.85295	−	0.0882670i	0.908692	−	0.417467i	$-0.137082\pi$
$353$	34.8138	−	1.65839i	1.85295	−	0.0882670i	0.944260	+	0.329200i	$0.106779\pi$
$354$	−12.2429	−	1.16906i	−0.650703	−	0.0621346i
$355$	−0.277883	−	0.264961i	−0.0147485	−	0.0140627i
$356$	2.51914	−	2.90724i	0.133514	−	0.154084i
$357$	8.42928	+	1.82524i	0.446125	+	0.0966019i
$358$	−25.0993	+	7.36982i	−1.32654	+	0.389507i
$359$	−17.4861	−	12.4518i	−0.922882	−	0.657181i	0.0165696	−	0.999863i	$-0.494725\pi$
$359$	−17.4861	−	12.4518i	−0.922882	−	0.657181i	−0.939452	+	0.342681i	$0.888665\pi$
$360$	−0.00555273	−	0.116566i	−0.000292655	−	0.00614357i
$361$	−2.11862	+	2.02010i	−0.111506	+	0.106321i
$362$	10.9696	−	8.62657i	0.576548	−	0.453402i
$363$	−9.82558	−	4.48719i	−0.515709	−	0.235516i
$364$	−2.69610	−	2.22176i	−0.141314	−	0.116452i
$365$	0.367647	−	0.572070i	0.0192435	−	0.0299435i
$366$	23.4546	+	8.11772i	1.22599	+	0.424320i
$367$	16.0508	−	27.8008i	0.837846	−	1.45119i	−0.0538467	−	0.998549i	$-0.517148\pi$
$367$	16.0508	−	27.8008i	0.837846	−	1.45119i	0.891692	−	0.452642i	$-0.149518\pi$
$368$	23.9628	−	0.0131049i	1.24915	−	0.000683140i
$369$	−8.80072	+	5.08110i	−0.458147	+	0.264511i
$370$	−0.317550	+	0.275158i	−0.0165086	+	0.0143048i
$371$	28.1506	−	13.7080i	1.46151	−	0.711684i
$372$	0.145086	−	1.00910i	0.00752237	−	0.0523192i
$373$	3.31656	+	34.7325i	0.171725	+	1.79838i	0.512968	+	0.858408i	$0.328546\pi$
$373$	3.31656	+	34.7325i	0.171725	+	1.79838i	−0.341243	+	0.939975i	$0.610848\pi$
$374$	−9.89296	+	24.7114i	−0.511553	+	1.27780i
$375$	−0.488760	−	0.512596i	−0.0252394	−	0.0264704i
$376$	1.28766	−	2.49770i	0.0664058	−	0.128809i
$377$	4.90578	−	2.24039i	0.252661	−	0.115386i
$378$	−3.27483	−	3.26858i	−0.168439	−	0.168118i
$379$	20.5322	+	17.7912i	1.05467	+	0.913873i	0.996429	−	0.0844295i	$-0.0269068\pi$
$379$	20.5322	+	17.7912i	1.05467	+	0.913873i	0.0582365	+	0.998303i	$0.481452\pi$
$380$	−0.295223	−	0.0568995i	−0.0151446	−	0.00291888i
$381$	13.7723	+	3.34112i	0.705576	+	0.171171i
$382$	−1.27944	+	13.3989i	−0.0654619	+	0.685548i
$383$	1.05709	+	0.544966i	0.0540146	+	0.0278465i	0.485022	−	0.874502i	$-0.338812\pi$
$383$	1.05709	+	0.544966i	0.0540146	+	0.0278465i	−0.431008	+	0.902348i	$0.641842\pi$
$384$	−3.30030	+	11.2398i	−0.168418	+	0.573577i
$385$	0.104758	+	0.869114i	0.00533898	+	0.0442941i
$386$	−9.18390	+	20.1099i	−0.467448	+	1.02357i
$387$	3.98892	+	9.96385i	0.202768	+	0.506491i
$388$	−2.51091	+	1.29447i	−0.127472	+	0.0657166i
$389$	−5.35536	−	27.7862i	−0.271527	−	1.40882i	−0.819863	−	0.572559i	$-0.805951\pi$
$389$	−5.35536	−	27.7862i	−0.271527	−	1.40882i	0.548336	−	0.836258i	$-0.315262\pi$
$390$	0.0773101	+	0.133905i	0.00391475	+	0.00678054i
$391$	9.06134	−	12.7396i	0.458252	−	0.644270i
$392$	−11.5158	−	0.526496i	−0.581636	−	0.0265921i
$393$	11.9737	+	13.8184i	0.603995	+	0.697047i
$394$	0.552107	−	11.5902i	0.0278148	−	0.583903i
$395$	−0.113093	+	0.143810i	−0.00569034	+	0.00723585i
$396$	4.02521	−	2.86634i	0.202274	−	0.144039i
$397$	−11.0848	−	14.0954i	−0.556328	−	0.707429i	0.423809	−	0.905752i	$-0.360693\pi$
$397$	−11.0848	−	14.0954i	−0.556328	−	0.707429i	−0.980137	+	0.198323i	$0.936450\pi$
$398$	11.3690	+	3.33823i	0.569875	+	0.167330i
$399$	9.05184	−	5.52926i	0.453159	−	0.276809i
$400$	10.3679	+	22.7025i	0.518395	+	1.13513i
$401$	9.57752	−	10.0446i	0.478279	−	0.501604i	−0.439749	−	0.898121i	$-0.644933\pi$
$401$	9.57752	−	10.0446i	0.478279	−	0.501604i	0.918028	+	0.396516i	$0.129781\pi$
$402$	−5.04104	−	14.5651i	−0.251424	−	0.726443i
$403$	−0.393109	−	1.13581i	−0.0195822	−	0.0565790i
$404$	−7.48623	+	7.85133i	−0.372454	+	0.390618i
$405$	0.0294372	+	0.0644585i	0.00146275	+	0.00320297i
$406$	−9.56799	+	17.5624i	−0.474851	+	0.871606i
$407$	15.1903	+	4.46027i	0.752954	+	0.221087i
$408$	3.31850	+	4.21982i	0.164290	+	0.208912i
$409$	−2.60287	+	1.85350i	−0.128704	+	0.0916496i	−0.642596	−	0.766205i	$-0.722143\pi$
$409$	−2.60287	+	1.85350i	−0.128704	+	0.0916496i	0.513892	+	0.857855i	$0.328203\pi$
$410$	−0.778472	+	0.989907i	−0.0384460	+	0.0488880i
$411$	0.314268	−	6.59730i	0.0155017	−	0.325421i
$412$	−10.3077	−	11.8957i	−0.507823	−	0.586059i
$413$	9.66888	−	15.8970i	0.475774	−	0.782239i
$414$	−7.78448	+	3.12137i	−0.382586	+	0.153407i
$415$	−0.520309	−	0.901202i	−0.0255410	−	0.0442383i
$416$	−1.28558	−	6.67023i	−0.0630308	−	0.327035i
$417$	−5.67405	+	2.92518i	−0.277859	+	0.143247i
$418$	12.1669	+	30.3913i	0.595100	+	1.48649i
$419$	8.49681	−	18.6054i	0.415096	−	0.908934i	−0.580418	−	0.814319i	$-0.697111\pi$
$419$	8.49681	−	18.6054i	0.415096	−	0.908934i	0.995514	−	0.0946149i	$-0.0301620\pi$
$420$	−0.182470	−	0.0779318i	−0.00890362	−	0.00380268i
$421$	−9.51760	+	32.4140i	−0.463860	+	1.57976i	0.312787	+	0.949823i	$0.398738\pi$
$421$	−9.51760	+	32.4140i	−0.463860	+	1.57976i	−0.776646	+	0.629937i	$0.783081\pi$
$422$	22.4745	+	11.5864i	1.09404	+	0.564019i
$423$	−0.162199	+	1.69863i	−0.00788640	+	0.0825902i
$424$	18.9399	+	4.59477i	0.919802	+	0.223142i
$425$	15.9884	+	3.08151i	0.775552	+	0.149475i
$426$	−7.16123	−	6.20524i	−0.346963	−	0.300645i
$427$	−26.5261	+	26.5769i	−1.28369	+	1.28615i
$428$	4.53450	−	2.07083i	0.219183	−	0.100098i
$429$	2.66954	−	5.17819i	0.128887	−	0.250005i
$430$	0.917827	+	0.962589i	0.0442616	+	0.0464202i
$431$	3.23976	−	8.09253i	0.156054	−	0.389804i	−0.829652	−	0.558281i	$-0.811461\pi$
$431$	3.23976	−	8.09253i	0.156054	−	0.389804i	0.985705	+	0.168478i	$0.0538852\pi$
$432$	−0.474957	−	4.97398i	−0.0228514	−	0.239310i
$433$	0.839258	−	5.83717i	0.0403322	−	0.280516i	−0.959668	−	0.281137i	$-0.909288\pi$
$433$	0.839258	−	5.83717i	0.0403322	−	0.280516i	1.00000		0.000620667i	$0.000197565\pi$
$434$	3.69354	+	2.49472i	0.177296	+	0.119750i
$435$	0.231486	−	0.200583i	0.0110989	−	0.00961723i
$436$	1.57725	−	0.910629i	0.0755368	−	0.0436112i
$437$	−2.74667	−	19.0296i	−0.131391	−	0.910311i
$438$	8.39109	−	14.5338i	0.400942	−	0.694452i
$439$	−22.0330	−	7.62570i	−1.05158	−	0.363955i	−0.254021	−	0.967199i	$-0.581753\pi$
$439$	−22.0330	−	7.62570i	−1.05158	−	0.363955i	−0.797557	+	0.603244i	$0.793875\pi$
$440$	−0.294590	+	0.458392i	−0.0140440	+	0.0218530i
$441$	6.61062	−	2.30212i	0.314791	−	0.109625i
$442$	−6.47007	−	2.95478i	−0.307750	−	0.140545i
$443$	−22.2278	+	17.4801i	−1.05607	+	0.830506i	−0.985951	−	0.167032i	$-0.946582\pi$
$443$	−22.2278	+	17.4801i	−1.05607	+	0.830506i	−0.0701229	+	0.997538i	$0.522339\pi$
$444$	−2.59698	+	2.47622i	−0.123247	+	0.117516i
$445$	−0.0122560	−	0.257285i	−0.000580989	−	0.0121965i
$446$	27.7406	+	19.7540i	1.31356	+	0.935380i
$447$	−7.16794	+	2.10470i	−0.339032	+	0.0995488i
$448$	−0.924925	−	0.839198i	−0.0436986	−	0.0396484i
$449$	−17.3970	+	20.0772i	−0.821016	+	0.947503i	−0.999335	−	0.0364695i	$-0.988389\pi$
$449$	−17.3970	+	20.0772i	−0.821016	+	0.947503i	0.178318	+	0.983973i	$0.442934\pi$
$450$	−6.32198	−	6.02800i	−0.298021	−	0.284162i
$451$	47.2348	+	4.51037i	2.22420	+	0.212385i
$452$	−18.6823	+	0.889947i	−0.878740	+	0.0418596i
$453$	−11.4797	+	2.78495i	−0.539364	+	0.130848i
$454$	−5.37156	−	37.3601i	−0.252100	−	1.75339i
$455$	−0.233312	+	0.0169110i	−0.0109378	+	0.000792801i
$456$	6.53508	+	0.939602i	0.306033	+	0.0440009i
$457$	−11.2020	−	0.533616i	−0.524006	−	0.0249615i	−0.216087	−	0.976374i	$-0.569330\pi$
$457$	−11.2020	−	0.533616i	−0.524006	−	0.0249615i	−0.307919	+	0.951413i	$0.599633\pi$
$458$	3.54048	−	0.682373i	0.165436	−	0.0318852i
$459$	−2.82307	−	1.62990i	−0.131770	−	0.0760773i
$460$	−0.260161	+	0.248335i	−0.0121301	+	0.0115787i
$461$			21.1426i			0.984707i	0.870395	+	0.492354i	$0.163863\pi$
$461$			21.1426i			0.984707i	−0.870395	+	0.492354i	$0.836137\pi$
$462$	3.60297	+	21.3015i	0.167625	+	0.991034i
$463$	−8.88274	−	5.70859i	−0.412816	−	0.265301i	0.317707	−	0.948189i	$-0.397087\pi$
$463$	−8.88274	−	5.70859i	−0.412816	−	0.265301i	−0.730523	+	0.682888i	$0.760724\pi$
$464$	−20.0505	+	8.02702i	−0.930823	+	0.372645i
$465$	−0.0395958	−	0.0556046i	−0.00183621	−	0.00257860i
$466$	−6.11806	−	2.44930i	−0.283414	−	0.113462i
$467$	6.51707	+	26.8637i	0.301574	+	1.24311i	0.897841	+	0.440319i	$0.145135\pi$
$467$	6.51707	+	26.8637i	0.301574	+	1.24311i	−0.596267	+	0.802786i	$0.703350\pi$
$468$	0.713890	+	1.11084i	0.0329996	+	0.0513484i
$469$	23.1557	+	2.74615i	1.06923	+	0.126805i
$470$	0.0595747	+	0.202893i	0.00274797	+	0.00935874i
$471$	0.581437	−	3.01678i	0.0267912	−	0.139006i
$472$	10.9445	−	3.78794i	0.503763	−	0.174354i
$473$	11.8146	−	48.7006i	0.543237	−	2.23926i
$474$	−2.61898	+	3.67785i	−0.120294	+	0.168929i
$475$	16.8463	−	10.8265i	0.772961	−	0.496752i
$476$	8.91706	−	1.94872i	0.408713	−	0.0893193i
$477$	−11.7139	+	1.68421i	−0.536343	+	0.0771145i
$478$	26.2570	−	2.50724i	1.20097	−	0.114678i
$479$	14.7426	+	11.5937i	0.673608	+	0.529731i	0.895344	−	0.445376i	$-0.146930\pi$
$479$	14.7426	+	11.5937i	0.673608	+	0.529731i	−0.221736	+	0.975107i	$0.571172\pi$
$480$	−0.176785	−	0.342914i	−0.00806907	−	0.0156518i
$481$	−1.38365	+	3.99781i	−0.0630892	+	0.182284i
$482$	−27.1330			−1.23588
$483$	0.886169	−	12.6576i	0.0403221	−	0.575941i
$484$	−11.4315			−0.519614
$485$	−0.0618659	+	0.178750i	−0.00280919	+	0.00811662i
$486$	0.801347	+	1.55440i	0.0363498	+	0.0705089i
$487$	−5.83448	−	4.58829i	−0.264386	−	0.207915i	0.477162	−	0.878815i	$-0.341665\pi$
$487$	−5.83448	−	4.58829i	−0.264386	−	0.207915i	−0.741548	+	0.670900i	$0.765908\pi$
$488$	−23.2667	+	2.22170i	−1.05323	+	0.100572i
$489$	16.5686	−	2.38221i	0.749260	−	0.107727i
$490$	0.654501	−	0.569323i	0.0295673	−	0.0257194i
$491$	−18.1104	+	11.6389i	−0.817312	+	0.525254i	−0.881223	−	0.472701i	$-0.843279\pi$
$491$	−18.1104	+	11.6389i	−0.817312	+	0.525254i	0.0639109	+	0.997956i	$0.479643\pi$
$492$	−6.23835	+	8.76054i	−0.281247	+	0.394955i
$493$	−3.32193	+	13.6932i	−0.149612	+	0.616711i
$494$	−8.26661	+	2.86110i	−0.371932	+	0.128727i
$495$	0.0626179	−	0.324893i	0.00281447	−	0.0146028i
$496$	1.35605	+	4.61828i	0.0608885	+	0.207367i
$497$	13.1728	−	5.65584i	0.590881	−	0.253699i
$498$	−13.8844	−	21.6045i	−0.622174	−	0.968121i
$499$	2.94744	+	12.1495i	0.131945	+	0.543886i	0.998960	+	0.0456028i	$0.0145209\pi$
$499$	2.94744	+	12.1495i	0.131945	+	0.543886i	−0.867014	+	0.498283i	$0.833964\pi$
$500$	−0.695870	−	0.278584i	−0.0311203	−	0.0124587i
$501$	7.54740	+	10.5988i	0.337193	+	0.473521i
$502$	7.46043	−	2.98671i	0.332975	−	0.133303i
$503$	−1.18444	−	0.761196i	−0.0528117	−	0.0339400i	0.513969	−	0.857809i	$-0.328175\pi$
$503$	−1.18444	−	0.761196i	−0.0528117	−	0.0339400i	−0.566780	+	0.823869i	$0.691811\pi$
$504$	4.08385	+	1.51875i	0.181909	+	0.0676506i
$505$			0.726386i			0.0323237i
$506$	38.0618	+	9.21165i	1.69205	+	0.409508i
$507$	−9.91013	−	5.72162i	−0.440125	−	0.254106i
$508$	14.7271	−	2.83841i	0.653407	−	0.125934i
$509$	−3.09116	−	0.147250i	−0.137013	−	0.00652674i	−0.0210367	−	0.999779i	$-0.506697\pi$
$509$	−3.09116	−	0.147250i	−0.137013	−	0.00652674i	−0.115976	+	0.993252i	$0.537000\pi$
$510$	−0.399856	−	0.0574906i	−0.0177059	−	0.00254573i
$511$	14.2512	+	21.0128i	0.630436	+	0.929552i
$512$	1.52936	+	10.6369i	0.0675888	+	0.470090i
$513$	−3.89606	+	0.945174i	−0.172015	+	0.0417305i
$514$	9.59187	−	0.456917i	0.423079	−	0.0201538i
$515$	−1.04917	−	0.100183i	−0.0462318	−	0.00441460i
$516$	8.22049	+	7.83822i	0.361887	+	0.345058i
$517$	5.21751	−	6.02133i	0.229466	−	0.264818i
$518$	−4.79108	−	14.9385i	−0.210508	−	0.656361i
$519$	13.9053	−	4.08296i	0.610374	−	0.179222i
$520$	−0.118606	−	0.0844591i	−0.00520122	−	0.00370378i
$521$	0.134459	+	2.82264i	0.00589076	+	0.123662i	0.999897	+	0.0143405i	$0.00456488\pi$
$521$	0.134459	+	2.82264i	0.00589076	+	0.123662i	−0.994006	+	0.109322i	$0.965132\pi$
$522$	5.47080	−	5.21640i	0.239450	−	0.228315i
$523$	1.50452	−	1.18317i	0.0657879	−	0.0517362i	−0.584724	−	0.811233i	$-0.698797\pi$
$523$	1.50452	−	1.18317i	0.0657879	−	0.0517362i	0.650511	+	0.759496i	$0.274555\pi$
$524$	17.6018	+	8.03848i	0.768939	+	0.351163i
$525$	12.3778	−	4.63017i	0.540212	−	0.202077i
$526$	2.77481	−	4.31769i	0.120988	−	0.188260i
$527$	2.96748	+	1.02706i	0.129266	+	0.0447392i
$528$	−11.6651	+	20.2046i	−0.507660	+	0.879293i
$529$	−20.4547	−	10.5168i	−0.889336	−	0.457254i
$530$	−1.27008	+	0.733281i	−0.0551687	+	0.0318517i
$531$	−5.31487	+	4.60537i	−0.230646	+	0.199856i
$532$	6.28307	−	9.30237i	0.272405	−	0.403309i
$533$	−1.80447	+	12.5503i	−0.0781601	+	0.543616i
$534$	−0.604243	−	6.32792i	−0.0261482	−	0.273836i
$535$	0.124055	−	0.309875i	0.00536337	−	0.0133971i
$536$	10.0159	+	10.5044i	0.432622	+	0.453721i
$537$	−6.85424	+	13.2954i	−0.295782	+	0.573738i
$538$	−40.3949	+	18.4477i	−1.74155	+	0.795338i
$539$	−31.3782	−	9.14833i	−1.35155	−	0.394047i
$540$	0.0566766	+	0.0491106i	0.00243897	+	0.00211338i
$541$	−22.0134	−	4.24273i	−0.946428	−	0.182409i	−0.307390	−	0.951584i	$-0.599455\pi$
$541$	−22.0134	−	4.24273i	−0.946428	−	0.182409i	−0.639039	+	0.769175i	$0.720668\pi$
$542$	14.7305	+	3.57359i	0.632731	+	0.153499i
$543$	0.758538	−	7.94377i	0.0325520	−	0.340900i
$544$	15.7747	+	8.13245i	0.676337	+	0.348676i
$545$	0.0343567	−	0.117008i	0.00147168	−	0.00501208i
$546$	−5.73150	+	0.690844i	−0.245286	+	0.0295654i
$547$	4.95472	−	10.8493i	0.211848	−	0.463883i	−0.773640	−	0.633625i	$-0.781566\pi$
$547$	4.95472	−	10.8493i	0.211848	−	0.463883i	0.985489	+	0.169742i	$0.0542934\pi$
$548$	−2.59788	−	6.48918i	−0.110976	−	0.277204i
$549$	12.6147	−	6.50333i	0.538382	−	0.277555i
$550$	7.71895	+	40.0497i	0.329137	+	1.70773i
$551$	8.66453	+	15.0074i	0.369121	+	0.639337i
$552$	5.44708	−	5.71899i	0.231843	−	0.243416i
$553$	−3.27938	−	5.99210i	−0.139453	−	0.254810i
$554$	21.2585	+	24.5336i	0.903187	+	1.04233i
$555$	−0.0114323	+	0.239994i	−0.000485276	+	0.0101872i
$556$	−4.17622	+	5.31050i	−0.177111	+	0.225215i
$557$	−33.9519	+	24.1770i	−1.43859	+	1.02441i	−0.447061	+	0.894503i	$0.647529\pi$
$557$	−33.9519	+	24.1770i	−1.43859	+	1.02441i	−0.991526	+	0.129910i	$0.958531\pi$
$558$	−1.04137	−	1.32421i	−0.0440847	−	0.0560582i
$559$	12.8487	+	3.77272i	0.543443	+	0.159569i
$560$	0.936494	−	0.0231887i	0.0395741	−	0.000979900i
$561$	6.32294	+	13.8453i	0.266955	+	0.584549i
$562$	−13.0945	+	13.7331i	−0.552358	+	0.579296i
$563$	−5.04386	−	14.5733i	−0.212573	−	0.614190i	0.787424	−	0.616412i	$-0.211414\pi$
$563$	−5.04386	−	14.5733i	−0.212573	−	0.614190i	−0.999998	+	0.00222113i	$0.999293\pi$
$564$	0.590635	+	1.70653i	0.0248702	+	0.0718578i
$565$	−0.864219	+	0.906367i	−0.0363580	+	0.0381311i
$566$	17.4962	+	38.3114i	0.735421	+	1.61035i
$567$	−2.64494	+	0.0654918i	−0.111077	+	0.00275040i
$568$	8.56172	+	2.51395i	0.359242	+	0.105483i
$569$	−0.591014	−	0.751536i	−0.0247766	−	0.0315060i	0.773507	−	0.633788i	$-0.218501\pi$
$569$	−0.591014	−	0.751536i	−0.0247766	−	0.0315060i	−0.798284	+	0.602282i	$0.794258\pi$
$570$	−0.404697	+	0.288184i	−0.0169509	+	0.0120707i
$571$	−27.4839	+	34.9487i	−1.15017	+	1.46256i	−0.286793	+	0.957992i	$0.592589\pi$
$571$	−27.4839	+	34.9487i	−1.15017	+	1.46256i	−0.863374	+	0.504564i	$0.831653\pi$
$572$	0.293366	−	6.15851i	0.0122662	−	0.257500i
$573$	5.04021	+	5.81672i	0.210558	+	0.242997i
$574$	−22.5734	−	41.2464i	−0.942197	−	1.72159i
$575$	1.12674	−	23.9286i	0.0469884	−	0.997890i
$576$	0.236019	+	0.408797i	0.00983413	+	0.0170332i
$577$	−4.72210	−	24.5006i	−0.196584	−	1.01997i	−0.937397	−	0.348262i	$-0.886772\pi$
$577$	−4.72210	−	24.5006i	−0.196584	−	1.01997i	0.740814	−	0.671711i	$-0.234440\pi$
$578$	−9.90721	+	5.10752i	−0.412086	+	0.212445i
$579$	4.69843	+	11.7361i	0.195260	+	0.487736i
$580$	0.134660	−	0.294865i	0.00559147	−	0.0122436i
$581$	38.5739	−	4.64949i	1.60032	−	0.192893i
$582$	−1.31515	+	4.47900i	−0.0545149	+	0.185661i
$583$	49.1147	+	25.3204i	2.03412	+	1.04866i
$584$	−1.50223	+	15.7321i	−0.0621629	+	0.650999i
$585$	0.0859227	+	0.0208446i	0.00355247	+	0.000861819i
$586$	−24.9158	−	4.80213i	−1.02926	−	0.198374i
$587$	−10.1989	−	8.83736i	−0.420952	−	0.364757i	0.418476	−	0.908228i	$-0.362564\pi$
$587$	−10.1989	−	8.83736i	−0.420952	−	0.364757i	−0.839428	+	0.543471i	$0.817110\pi$
$588$	5.35174	−	5.12245i	0.220702	−	0.211246i
$589$	3.51296	−	1.60432i	0.144749	−	0.0661047i
$590$	−0.399347	+	0.774625i	−0.0164409	+	0.0318908i
$591$	−4.57867	−	4.80197i	−0.188341	−	0.197527i
$592$	6.29654	−	15.7280i	0.258786	−	0.646417i
$593$	−3.34369	−	35.0167i	−0.137309	−	1.43797i	−0.757152	−	0.653239i	$-0.773410\pi$
$593$	−3.34369	−	35.0167i	−0.137309	−	1.43797i	0.619843	−	0.784726i	$-0.287196\pi$
$594$	1.16208	−	8.08244i	0.0476807	−	0.331627i
$595$	0.342076	−	0.506459i	0.0140237	−	0.0207628i
$596$	−5.97506	+	5.17742i	−0.244748	+	0.212075i
$597$	5.86772	−	3.38773i	0.240150	−	0.138651i
$598$	−2.94268	+	10.0422i	−0.120335	+	0.410654i
$599$	0.817928	−	1.41669i	0.0334196	−	0.0578845i	−0.848832	−	0.528663i	$-0.822694\pi$
$599$	0.817928	−	1.41669i	0.0334196	−	0.0578845i	0.882251	+	0.470778i	$0.156027\pi$
$600$	7.77349	+	2.69043i	0.317351	+	0.109836i
$601$	18.3386	−	28.5354i	0.748047	−	1.16398i	−0.233424	−	0.972375i	$-0.574993\pi$
$601$	18.3386	−	28.5354i	0.748047	−	1.16398i	0.981471	−	0.191609i	$-0.0613707\pi$
$602$	−46.5112	+	17.3985i	−1.89566	+	0.709108i
$603$	−8.01692	−	3.66121i	−0.326474	−	0.149096i
$604$	−9.82681	+	7.72789i	−0.399847	+	0.314443i
$605$	−0.553970	+	0.528209i	−0.0225221	+	0.0214747i
$606$	0.852973	+	17.9061i	0.0346497	+	0.727386i
$607$	−27.7975	−	19.7945i	−1.12826	−	0.803434i	−0.145695	−	0.989330i	$-0.546542\pi$
$607$	−27.7975	−	19.7945i	−1.12826	−	0.803434i	−0.982569	+	0.185896i	$0.940481\pi$
$608$	20.9428	−	6.14936i	0.849343	−	0.249390i
$609$	3.49257	+	10.8898i	0.141526	+	0.441277i
$610$	1.15175	−	1.32919i	0.0466332	−	0.0538175i
$611$	1.54085	+	1.46919i	0.0623360	+	0.0594373i
$612$	−3.43425	−	0.327931i	−0.138821	−	0.0132558i
$613$	9.43273	−	0.449336i	0.380984	−	0.0181485i	0.143784	−	0.989609i	$-0.454073\pi$
$613$	9.43273	−	0.449336i	0.380984	−	0.0181485i	0.237201	+	0.971461i	$0.423770\pi$
$614$	−45.7642	+	11.1023i	−1.84689	+	0.448051i
$615$	0.102483	+	0.712786i	0.00413252	+	0.0287423i
$616$	−11.4193	−	16.8373i	−0.460096	−	0.678393i
$617$	−26.8615	−	3.86210i	−1.08140	−	0.155482i	−0.421496	−	0.906830i	$-0.638495\pi$
$617$	−26.8615	−	3.86210i	−1.08140	−	0.155482i	−0.659906	+	0.751348i	$0.729404\pi$
$618$	−25.9806	−	1.23761i	−1.04509	−	0.0497839i
$619$	19.0869	−	3.67871i	0.767169	−	0.147860i	0.209371	−	0.977836i	$-0.432858\pi$
$619$	19.0869	−	3.67871i	0.767169	−	0.147860i	0.557798	+	0.829977i	$0.311646\pi$
$620$	−0.0625635	−	0.0361210i	−0.00251261	−	0.00145066i
$621$	−1.78000	+	4.45327i	−0.0714288	+	0.178704i
$622$		−	0.513245i		−	0.0205792i
$623$	9.01388	+	3.35219i	0.361133	+	0.134303i
$624$	−5.24460	−	3.37050i	−0.209952	−	0.134928i
$625$	23.1393	−	9.26358i	0.925572	−	0.370543i
$626$	−31.7874	−	44.6391i	−1.27048	−	1.78414i
$627$	17.3784	+	6.95725i	0.694025	+	0.277846i
$628$	−0.766556	−	3.15979i	−0.0305889	−	0.126089i
$629$	−5.97557	−	9.29816i	−0.238261	−	0.370742i
$630$	−0.301276	+	0.129355i	−0.0120031	+	0.00515362i
$631$	1.31207	+	4.46851i	0.0522328	+	0.177889i	0.981478	−	0.191575i	$-0.0613596\pi$
$631$	1.31207	+	4.46851i	0.0522328	+	0.177889i	−0.929245	+	0.369464i	$0.879541\pi$
$632$	0.804656	−	4.17495i	0.0320075	−	0.166071i
$633$	13.6635	−	4.72898i	0.543074	−	0.187960i
$634$	−4.63993	+	19.1261i	−0.184275	+	0.759593i
$635$	0.582518	−	0.818033i	0.0231165	−	0.0324626i
$636$	−10.5362	+	6.77120i	−0.417787	+	0.268496i
$637$	2.84080	−	8.25901i	0.112556	−	0.327234i
$638$	−34.9361	+	5.02305i	−1.38313	+	0.198864i
$639$	−5.39384	+	0.515049i	−0.213377	+	0.0203750i
$640$	0.652503	+	0.513134i	0.0257924	+	0.0202834i
$641$	16.2876	+	31.5935i	0.643321	+	1.24787i	0.954696	+	0.297581i	$0.0961800\pi$
$641$	16.2876	+	31.5935i	0.643321	+	1.24787i	−0.311376	+	0.950287i	$0.600790\pi$
$642$	2.69420	−	7.78439i	0.106332	−	0.307225i
$643$	33.2181			1.30999			0.654997	−	0.755632i	$-0.272670\pi$
$643$	33.2181			1.30999			0.654997	+	0.755632i	$0.272670\pi$
$644$	−4.71165	−	12.5747i	−0.185665	−	0.495512i
$645$	0.760539			0.0299462
$646$	7.47505	−	21.5977i	0.294102	−	0.849751i
$647$	11.9327	+	23.1462i	0.469123	+	0.909972i	0.998117	+	0.0613461i	$0.0195393\pi$
$647$	11.9327	+	23.1462i	0.469123	+	0.909972i	−0.528993	+	0.848626i	$0.677430\pi$
$648$	−1.29450	−	1.01801i	−0.0508527	−	0.0399910i
$649$	32.6881	−	3.12133i	1.28312	−	0.122523i
$650$	−10.7880	+	1.55108i	−0.423141	+	0.0608385i
$651$	2.48990	−	0.544139i	0.0975870	−	0.0213265i
$652$	14.9028	−	9.57746i	0.583639	−	0.375082i
$653$	−3.15564	+	4.43147i	−0.123490	+	0.173417i	−0.871693	−	0.490053i	$-0.836977\pi$
$653$	−3.15564	+	4.43147i	−0.123490	+	0.173417i	0.748203	+	0.663470i	$0.230917\pi$
$654$	0.709526	−	2.92471i	0.0277447	−	0.114365i
$655$	1.22441	−	0.423773i	0.0478417	−	0.0165582i
$656$	9.60950	−	49.8588i	0.375188	−	1.94666i
$657$	−2.70362	−	9.20767i	−0.105478	−	0.359225i
$658$	−7.84018	−	0.929806i	−0.305642	−	0.0362476i
$659$	−8.67396	−	13.4970i	−0.337890	−	0.525767i	0.630180	−	0.776449i	$-0.282981\pi$
$659$	−8.67396	−	13.4970i	−0.337890	−	0.525767i	−0.968069	+	0.250683i	$0.919345\pi$
$660$	−0.0825543	−	0.340293i	−0.00321342	−	0.0132459i
$661$	5.05775	+	2.02482i	0.196724	+	0.0787562i	0.467932	−	0.883764i	$-0.344999\pi$
$661$	5.05775	+	2.02482i	0.196724	+	0.0787562i	−0.271209	+	0.962521i	$0.587423\pi$
$662$	−2.11407	−	2.96880i	−0.0821658	−	0.115386i
$663$	−3.77592	+	1.51165i	−0.146645	+	0.0587076i
$664$	20.3448	+	13.0748i	0.789532	+	0.507402i
$665$	−0.125352	−	0.741109i	−0.00486096	−	0.0287390i
$666$			5.92951i			0.229764i
$667$	20.6370	+	1.95921i	0.799068	+	0.0758608i
$668$	11.9253	+	6.88507i	0.461404	+	0.266391i
$669$	19.1216	−	3.68539i	0.739284	−	0.142485i
$670$	−1.09095	−	0.0519684i	−0.0421471	−	0.00200771i
$671$	−65.5930	−	9.43085i	−2.53219	−	0.364074i
$672$	14.3668	−	1.04134i	0.554212	−	0.0401707i
$673$	−3.07202	−	21.3664i	−0.118418	−	0.823613i	−0.959299	−	0.282393i	$-0.908872\pi$
$673$	−3.07202	−	21.3664i	−0.118418	−	0.823613i	0.840881	−	0.541220i	$-0.182037\pi$
$674$	−8.06521	+	1.95660i	−0.310660	+	0.0753654i
$675$	−4.98932	+	0.237671i	−0.192039	+	0.00914795i
$676$	−12.0556	−	1.15117i	−0.463678	−	0.0442758i
$677$	−15.9819	−	15.2387i	−0.614235	−	0.585672i	0.317747	−	0.948176i	$-0.397074\pi$
$677$	−15.9819	−	15.2387i	−0.614235	−	0.585672i	−0.931983	+	0.362503i	$0.881922\pi$
$678$	−20.2395	+	23.3576i	−0.777294	+	0.897045i
$679$	−5.23032	−	4.74555i	−0.200721	−	0.182118i
$680$	0.365004	−	0.107175i	0.0139973	−	0.00410997i
$681$	−17.5809	−	12.5193i	−0.673702	−	0.479741i
$682$	0.374276	+	7.85702i	0.0143318	+	0.300861i
$683$	−9.87837	+	9.41901i	−0.377985	+	0.360408i	−0.855127	−	0.518418i	$-0.826521\pi$
$683$	−9.87837	+	9.41901i	−0.377985	+	0.360408i	0.477142	+	0.878826i	$0.341673\pi$
$684$	−3.33509	+	2.62274i	−0.127520	+	0.100283i
$685$	−0.425734	−	0.194426i	−0.0162665	−	0.00742865i
$686$	9.95024	+	30.8219i	0.379902	+	1.17679i
$687$	1.11468	−	1.73448i	0.0425278	−	0.0661745i
$688$	−50.6773	−	17.5396i	−1.93206	−	0.668691i
$689$	−7.38289	+	12.7875i	−0.281266	+	0.487166i
$690$	0.000325023		0.594318i	1.23734e−5		0.0226253i
$691$	19.5292	−	11.2752i	0.742925	−	0.428928i	−0.0802068	−	0.996778i	$-0.525558\pi$
$691$	19.5292	−	11.2752i	0.742925	−	0.428928i	0.823132	+	0.567850i	$0.192225\pi$
$692$	11.5912	−	10.0438i	0.440630	−	0.381808i
$693$	10.2373	+	6.91451i	0.388881	+	0.262661i
$694$	1.89015	−	13.1463i	0.0717493	−	0.499027i
$695$	0.0429998	+	0.450314i	0.00163107	+	0.0170814i
$696$	−2.64564	+	6.60848i	−0.100283	+	0.250494i
$697$	−22.8601	−	23.9750i	−0.865888	−	0.908117i
$698$	−7.09762	+	13.7675i	−0.268649	+	0.521106i
$699$	−3.42783	+	1.56544i	−0.129652	+	0.0592103i
$700$	9.88015	−	9.89906i	0.373435	−	0.374149i
$701$	−27.1397	−	23.5167i	−1.02505	−	0.888214i	−0.0312664	−	0.999511i	$-0.509954\pi$
$701$	−27.1397	−	23.5167i	−1.02505	−	0.888214i	−0.993787	+	0.111297i	$0.964499\pi$
$702$	2.14255	+	0.412943i	0.0808655	+	0.0155855i
$703$	−13.2100	−	3.20472i	−0.498226	−	0.120868i
$704$	0.209509	−	2.19407i	0.00789616	−	0.0826923i
$705$	0.107475	+	0.0554070i	0.00404772	+	0.00208675i
$706$	17.1720	−	58.4825i	0.646277	−	2.20102i
$707$	−24.9412	−	10.6523i	−0.938012	−	0.400619i
$708$	−3.09178	+	6.77006i	−0.116196	+	0.254434i
$709$	−7.04033	−	17.5859i	−0.264405	−	0.660452i	0.735448	−	0.677581i	$-0.236972\pi$
$709$	−7.04033	−	17.5859i	−0.264405	−	0.660452i	−0.999853	+	0.0171287i	$0.994547\pi$
$710$	−0.596823	+	0.307684i	−0.0223984	+	0.0115472i
$711$	0.488608	+	2.53514i	0.0183242	+	0.0950751i
$712$	2.99303	+	5.18409i	0.112169	+	0.194282i
$713$	0.871832	−	4.53684i	0.0326504	−	0.169906i
$714$	7.83778	−	12.8864i	0.293322	−	0.482261i
$715$	−0.270346	−	0.311996i	−0.0101104	−	0.0116680i
$716$	−0.753239	+	15.8124i	−0.0281499	+	0.590938i
$717$	9.32342	−	11.8557i	0.348189	−	0.442759i
$718$	−30.5798	+	21.7757i	−1.14123	+	0.812664i
$719$	1.02572	+	1.30431i	0.0382530	+	0.0486427i	0.804803	−	0.593542i	$-0.202271\pi$
$719$	1.02572	+	1.30431i	0.0382530	+	0.0486427i	−0.766550	+	0.642184i	$0.778028\pi$
$720$	−0.339728	−	0.0997531i	−0.0126609	−	0.00371758i
$721$	18.8256	−	34.5551i	0.701103	−	1.28690i
$722$	2.12666	+	4.65673i	0.0791460	+	0.173305i
$723$	−10.7067	+	11.2289i	−0.398187	+	0.417607i
$724$	−2.76215	−	7.98070i	−0.102654	−	0.296600i
$725$	7.06160	+	20.4031i	0.262261	+	0.757754i
$726$	−13.0356	+	13.6714i	−0.483797	+	0.507392i
$727$	−14.1632	−	31.0130i	−0.525282	−	1.15021i	−0.967401	−	0.253251i	$-0.918500\pi$
$727$	−14.1632	−	31.0130i	−0.525282	−	1.15021i	0.442118	−	0.896957i	$-0.354227\pi$
$728$	4.63932	−	2.83390i	0.171945	−	0.105031i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	−0.735128	−	0.934792i	−0.0272083	−	0.0345982i
$731$	−28.4990	+	20.2941i	−1.05407	+	0.750603i
$732$	9.28469	−	11.8064i	0.343172	−	0.436379i
$733$	−0.140653	+	2.95266i	−0.00519512	+	0.109059i	0.994780	+	0.102040i	$0.0325371\pi$
$733$	−0.140653	+	2.95266i	−0.00519512	+	0.109059i	−0.999975	+	0.00701857i	$0.997766\pi$
$734$	−36.7635	−	42.4273i	−1.35696	−	1.56602i
$735$	0.0226548	−	0.495518i	0.000835634	−	0.0182774i
$736$	8.52638	−	24.6790i	0.314286	−	0.909680i
$737$	20.5758	+	35.6384i	0.757920	+	1.31276i
$738$	3.36331	+	17.4505i	0.123805	+	0.642362i
$739$	−9.70815	+	5.00490i	−0.357120	+	0.184108i	−0.627445	−	0.778661i	$-0.715899\pi$
$739$	−9.70815	+	5.00490i	−0.357120	+	0.184108i	0.270325	+	0.962769i	$0.412869\pi$
$740$	0.0945047	+	0.236061i	0.00347406	+	0.00867779i
$741$	−2.07796	+	4.55010i	−0.0763357	+	0.167152i
$742$	−6.55261	−	54.3629i	−0.240554	−	1.99573i
$743$	10.0579	−	34.2542i	0.368990	−	1.25666i	−0.540644	−	0.841252i	$-0.681819\pi$
$743$	10.0579	−	34.2542i	0.368990	−	1.25666i	0.909633	−	0.415412i	$-0.136363\pi$
$744$	1.41005	+	0.726933i	0.0516951	+	0.0266507i
$745$	−0.0503207	+	0.526983i	−0.00184361	+	0.0193071i
$746$	59.2966	+	14.3852i	2.17100	+	0.526680i
$747$	−14.4197	−	2.77917i	−0.527590	−	0.101685i
$748$	12.1738	+	10.5487i	0.445118	+	0.385697i
$749$	8.82065	+	8.80380i	0.322300	+	0.321684i
$750$	−1.12669	+	0.514540i	−0.0411407	+	0.0187883i
$751$	9.77387	−	18.9587i	0.356654	−	0.691812i	−0.640439	−	0.768009i	$-0.721248\pi$
$751$	9.77387	−	18.9587i	0.356654	−	0.691812i	0.997093	+	0.0761973i	$0.0242779\pi$
$752$	−5.88360	−	6.17054i	−0.214553	−	0.225016i
$753$	1.70786	−	4.26603i	0.0622379	−	0.155463i
$754$	−0.896525	−	9.38884i	−0.0326495	−	0.341921i
$755$	−0.119128	+	0.828553i	−0.00433551	+	0.0301541i
$756$	−2.51741	+	1.22586i	−0.0915574	+	0.0445841i
$757$	−34.0049	+	29.4654i	−1.23593	+	1.07094i	−0.240984	+	0.970529i	$0.577470\pi$
$757$	−34.0049	+	29.4654i	−1.23593	+	1.07094i	−0.994946	+	0.100410i	$0.967984\pi$
$758$	41.1460	−	23.7557i	1.49449	−	0.862845i
$759$	18.8314	−	12.1168i	0.683538	−	0.439811i
$760$	0.233926	−	0.405172i	0.00848539	−	0.0146971i
$761$	46.6748	+	16.1543i	1.69196	+	0.585593i	0.991732	−	0.128327i	$-0.0409608\pi$
$761$	46.6748	+	16.1543i	1.69196	+	0.585593i	0.700227	+	0.713920i	$0.253082\pi$
$762$	13.3990	−	20.8493i	0.485396	−	0.755291i
$763$	3.51377	+	2.89557i	0.127207	+	0.104827i
$764$	7.40930	+	3.38372i	0.268059	+	0.122419i
$765$	−0.181576	+	0.142793i	−0.00656489	+	0.00516269i
$766$	1.50525	−	1.43525i	0.0543869	−	0.0518578i
$767$	0.417511	+	8.76464i	0.0150755	+	0.316473i
$768$	15.9184	+	11.3354i	0.574404	+	0.409031i
$769$	−38.7781	+	11.3863i	−1.39838	+	0.410600i	−0.892126	−	0.451787i	$-0.850787\pi$
$769$	−38.7781	+	11.3863i	−1.39838	+	0.410600i	−0.506250	+	0.862387i	$0.668969\pi$
$770$	1.49623	+	0.323988i	0.0539205	+	0.0116757i
$771$	3.59587	−

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.bf (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.571977 - 1.65262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.831885 - 0.654202i) q^{4} +(-0.0705413 + 0.00673588i) q^{5} +(-1.73100 + 0.248880i) q^{6} +(0.803186 - 2.52089i) q^{7} +(1.38541 - 0.890346i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(0.571977 - 1.65262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.831885 - 0.654202i) q^{4} +(-0.0705413 + 0.00673588i) q^{5} +(-1.73100 + 0.248880i) q^{6} +(0.803186 - 2.52089i) q^{7} +(1.38541 - 0.890346i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.0292162 + 0.120431i) q^{10} +(4.41243 - 1.52716i) q^{11} +(-0.200286 + 1.03918i) q^{12} +(0.351518 + 1.19716i) q^{13} +(-3.70667 - 2.76925i) q^{14} +(0.0383110 + 0.0596131i) q^{15} +(-1.17799 - 4.85575i) q^{16} +(-3.02630 - 1.21155i) q^{17} +(1.01440 + 1.42453i) q^{18} +(-3.72189 + 1.49002i) q^{19} +(0.0630889 + 0.0405448i) q^{20} +(-2.60870 + 0.441239i) q^{21} -8.16556i q^{22} +(-1.12811 + 4.66126i) q^{23} +(-1.42620 - 0.823417i) q^{24} +(-4.90471 + 0.945306i) q^{25} +(2.17951 + 0.103823i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-2.31733 + 1.57165i) q^{28} +(-0.615151 - 4.27847i) q^{29} +(0.120431 - 0.0292162i) q^{30} +(-0.962215 + 0.0458359i) q^{31} +(-5.41974 - 0.517522i) q^{32} +(-3.37928 - 3.22214i) q^{33} +(-3.73320 + 4.30834i) q^{34} +(-0.0396774 + 0.183237i) q^{35} +(1.01544 - 0.298159i) q^{36} +(2.76191 + 1.96675i) q^{37} +(0.333600 + 7.00313i) q^{38} +(0.903005 - 0.861013i) q^{39} +(-0.0917311 + 0.0721381i) q^{40} +(9.24386 + 4.22153i) q^{41} +(-0.762915 + 4.56356i) q^{42} +(5.80251 - 9.02888i) q^{43} +(-4.66970 - 1.61620i) q^{44} +(0.0354311 - 0.0613685i) q^{45} +(7.05804 + 4.53047i) q^{46} +(1.47775 - 0.853178i) q^{47} +(-3.77618 + 3.27208i) q^{48} +(-5.70979 - 4.04949i) q^{49} +(-1.24315 + 8.64631i) q^{50} +(0.309864 + 3.24504i) q^{51} +(0.490762 - 1.22587i) q^{52} +(8.16665 + 8.56494i) q^{53} +(0.801347 - 1.55440i) q^{54} +(-0.300972 + 0.137449i) q^{55} +(-1.13173 - 4.20757i) q^{56} +(3.02985 + 2.62538i) q^{57} +(-7.42253 - 1.43057i) q^{58} +(6.83435 + 1.65800i) q^{59} +(0.00712863 - 0.0746544i) q^{60} +(-12.6147 - 6.50333i) q^{61} +(-0.474615 + 1.61639i) q^{62} +(1.58756 + 2.11652i) q^{63} +(0.196092 - 0.429381i) q^{64} +(-0.0328605 - 0.0820816i) q^{65} +(-7.25784 + 3.74167i) q^{66} +(1.66794 + 8.65410i) q^{67} +(1.72494 + 2.98768i) q^{68} +(4.66003 - 1.13321i) q^{69} +(0.280127 + 0.170379i) q^{70} +(3.54828 + 4.09493i) q^{71} +(-0.0783595 + 1.64497i) q^{72} +(-5.93209 + 7.54327i) q^{73} +(4.83004 - 3.43946i) q^{74} +(3.08769 + 3.92632i) q^{75} +(4.07096 + 1.19534i) q^{76} +(-0.305796 - 12.3498i) q^{77} +(-0.906429 - 1.98480i) q^{78} +(1.78164 - 1.86853i) q^{79} +(0.115805 + 0.334597i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(12.2639 - 12.8620i) q^{82} +(6.10041 + 13.3580i) q^{83} +(2.45880 + 1.33955i) q^{84} +(0.221640 + 0.0650794i) q^{85} +(-11.6024 - 14.7536i) q^{86} +(-3.52097 + 2.50727i) q^{87} +(4.75330 - 6.04432i) q^{88} +(-0.172955 + 3.63078i) q^{89} +(-0.0811529 - 0.0936554i) q^{90} +(3.30025 + 0.0754034i) q^{91} +(3.98787 - 3.13962i) q^{92} +(0.481653 + 0.834247i) q^{93} +(-0.564740 - 2.93015i) q^{94} +(0.252511 - 0.130178i) q^{95} +(2.02348 + 5.05440i) q^{96} +(1.10887 - 2.42809i) q^{97} +(-9.95812 + 7.11989i) q^{98} +(-1.31547 + 4.48009i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9	\( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

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