LMFDB - Embedded newform 605.2.s.b.16.12

Newspace parameters

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.s (of order $55$, degree $40$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$880$
Relative dimension:	$22$ over $\Q(\zeta_{55})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label			16.12
Character	$\chi$	$=$	605.16
Dual form			605.2.s.b.416.12

$q$-expansion

$f(q)$	$=$	$q+(0.252480 + 0.0289694i) q^{2} +(2.55133 + 1.85365i) q^{3} +(-1.88512 - 0.438365i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.590461 + 0.541921i) q^{6} +(-0.840226 - 0.864572i) q^{7} +(-0.941970 - 0.336094i) q^{8} +(2.14622 + 6.60538i) q^{9} +O(q^{10})$	\(q+(0.252480 + 0.0289694i) q^{2} +(2.55133 + 1.85365i) q^{3} +(-1.88512 - 0.438365i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.590461 + 0.541921i) q^{6} +(-0.840226 - 0.864572i) q^{7} +(-0.941970 - 0.336094i) q^{8} +(2.14622 + 6.60538i) q^{9} +(-0.166424 + 0.192064i) q^{10} +(2.57360 + 2.09202i) q^{11} +(-3.99698 - 4.61276i) q^{12} +(-2.11158 + 3.50167i) q^{13} +(-0.187094 - 0.242628i) q^{14} +(-2.97022 + 1.05977i) q^{15} +(3.24558 + 1.59575i) q^{16} +(-2.71444 + 2.21958i) q^{17} +(0.350524 + 1.72990i) q^{18} +(-1.09712 - 0.0627356i) q^{19} +(1.42590 - 1.30868i) q^{20} +(-0.541080 - 3.76330i) q^{21} +(0.589180 + 0.602750i) q^{22} +(0.207803 - 1.44530i) q^{23} +(-1.78028 - 2.60357i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-0.634575 + 0.822931i) q^{26} +(-3.84479 + 11.8330i) q^{27} +(1.20493 + 1.99815i) q^{28} +(-0.00387771 + 0.00995983i) q^{29} +(-0.780622 + 0.181526i) q^{30} +(7.98936 + 3.37633i) q^{31} +(2.45595 + 1.57834i) q^{32} +(2.68824 + 10.1080i) q^{33} +(-0.749642 + 0.481766i) q^{34} +(1.18794 - 0.205581i) q^{35} +(-1.15030 - 13.3927i) q^{36} +(0.718138 - 8.36112i) q^{37} +(-0.275184 - 0.0476224i) q^{38} +(-11.8782 + 5.01978i) q^{39} +(0.809125 - 0.587864i) q^{40} +(-10.0229 + 5.66019i) q^{41} +(-0.0275916 - 0.965833i) q^{42} +(8.91576 - 2.61790i) q^{43} +(-3.93448 - 5.07189i) q^{44} +(-6.66397 - 1.95672i) q^{45} +(0.0943358 - 0.358891i) q^{46} +(0.789344 - 3.89556i) q^{47} +(5.32260 + 10.0875i) q^{48} +(0.158387 - 5.54427i) q^{49} +(-0.0646062 - 0.245788i) q^{50} +(-11.0398 + 0.631276i) q^{51} +(5.51559 - 5.67541i) q^{52} +(6.26080 - 3.07823i) q^{53} +(-1.31353 + 2.87623i) q^{54} +(-3.17956 + 0.943611i) q^{55} +(0.500890 + 1.09680i) q^{56} +(-2.68282 - 2.19373i) q^{57} +(-0.00126758 + 0.00240233i) q^{58} +(10.9463 + 6.18166i) q^{59} +(6.06377 - 0.695753i) q^{60} +(-8.31385 + 0.953925i) q^{61} +(1.91934 + 1.08390i) q^{62} +(3.90752 - 7.40557i) q^{63} +(-5.02526 - 4.10913i) q^{64} +(-1.69866 - 3.71955i) q^{65} +(0.385904 + 2.62995i) q^{66} +(0.706270 - 1.54652i) q^{67} +(6.09002 - 2.99426i) q^{68} +(3.20926 - 3.30225i) q^{69} +(0.305887 - 0.0174913i) q^{70} +(-0.458338 - 1.74370i) q^{71} +(0.198357 - 6.94340i) q^{72} +(-3.11500 - 5.90358i) q^{73} +(0.423532 - 2.09021i) q^{74} +(0.801708 - 3.05001i) q^{75} +(2.04070 + 0.599203i) q^{76} +(-0.353706 - 3.98284i) q^{77} +(-3.14444 + 0.923290i) q^{78} +(-0.247313 - 8.65709i) q^{79} +(-3.14919 + 1.77843i) q^{80} +(-14.8870 + 10.8160i) q^{81} +(-2.69456 + 1.13873i) q^{82} +(6.51277 + 1.12708i) q^{83} +(-0.629698 + 7.33144i) q^{84} +(-0.300059 - 3.49352i) q^{85} +(2.32689 - 0.402685i) q^{86} +(-0.0283554 + 0.0182229i) q^{87} +(-1.72114 - 2.83560i) q^{88} +(-2.44602 - 1.57196i) q^{89} +(-1.62584 - 0.687084i) q^{90} +(4.80165 - 1.11658i) q^{91} +(-1.02530 + 2.63347i) q^{92} +(14.1250 + 23.4236i) q^{93} +(0.312146 - 0.960686i) q^{94} +(0.671048 - 0.870230i) q^{95} +(3.34024 + 8.57935i) q^{96} +(1.94269 + 2.84110i) q^{97} +(0.200604 - 1.39523i) q^{98} +(-8.29508 + 21.4896i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) $	\( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{2}{55}\right)$

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 $

$2$	0.252480	+	0.0289694i	0.178531	+	0.0204845i	0.202796	−	0.979221i	$-0.434997\pi$
$2$	0.252480	+	0.0289694i	0.178531	+	0.0204845i	−0.0242651	+	0.999706i	$0.507725\pi$
$3$	2.55133	+	1.85365i	1.47301	+	1.07021i	0.979727	+	0.200337i	$0.0642038\pi$
$3$	2.55133	+	1.85365i	1.47301	+	1.07021i	0.493284	+	0.869868i	$0.335796\pi$
$4$	−1.88512	−	0.438365i	−0.942558	−	0.219183i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$6$	0.590461	+	0.541921i	0.241055	+	0.221238i
$7$	−0.840226	−	0.864572i	−0.317576	−	0.326778i	0.539483	−	0.841997i	$-0.318620\pi$
$7$	−0.840226	−	0.864572i	−0.317576	−	0.326778i	−0.857059	+	0.515219i	$0.827711\pi$
$8$	−0.941970	−	0.336094i	−0.333037	−	0.118827i
$9$	2.14622	+	6.60538i	0.715406	+	2.20179i
$10$	−0.166424	+	0.192064i	−0.0526280	+	0.0607359i
$11$	2.57360	+	2.09202i	0.775971	+	0.630768i
$11$	2.57360	+	2.09202i	0.775971	+	0.630768i
$12$	−3.99698	−	4.61276i	−1.15383	−	1.33159i
$13$	−2.11158	+	3.50167i	−0.585648	+	0.971188i	0.412535	+	0.910942i	$0.364643\pi$
$13$	−2.11158	+	3.50167i	−0.585648	+	0.971188i	−0.998184	+	0.0602467i	$0.980811\pi$
$14$	−0.187094	−	0.242628i	−0.0500031	−	0.0648451i
$15$	−2.97022	+	1.05977i	−0.766907	+	0.273632i
$16$	3.24558	+	1.59575i	0.811396	+	0.398936i
$17$	−2.71444	+	2.21958i	−0.658348	+	0.538328i	−0.902110	−	0.431507i	$-0.857982\pi$
$17$	−2.71444	+	2.21958i	−0.658348	+	0.538328i	0.243762	+	0.969835i	$0.421618\pi$
$18$	0.350524	+	1.72990i	0.0826192	+	0.407742i
$19$	−1.09712	−	0.0627356i	−0.251696	−	0.0143925i	−0.0692148	−	0.997602i	$-0.522049\pi$
$19$	−1.09712	−	0.0627356i	−0.251696	−	0.0143925i	−0.182482	+	0.983209i	$0.558413\pi$
$20$	1.42590	−	1.30868i	0.318841	−	0.292629i
$21$	−0.541080	−	3.76330i	−0.118073	−	0.821218i
$22$	0.589180	+	0.602750i	0.125614	+	0.128507i
$23$	0.207803	−	1.44530i	0.0433300	−	0.301367i	−0.956620	−	0.291339i	$-0.905899\pi$
$23$	0.207803	−	1.44530i	0.0433300	−	0.301367i	0.999950	−	0.0100271i	$-0.00319179\pi$
$24$	−1.78028	−	2.60357i	−0.363397	−	0.531452i
$25$	−0.362808	−	0.931864i	−0.0725615	−	0.186373i
$26$	−0.634575	+	0.822931i	−0.124450	+	0.161390i
$27$	−3.84479	+	11.8330i	−0.739929	+	2.27727i
$28$	1.20493	+	1.99815i	0.227710	+	0.377614i
$29$	−0.00387771	+	0.00995983i	−0.000720074	+	0.00184949i	−0.932224	−	0.361883i	$-0.882134\pi$
$29$	−0.00387771	+	0.00995983i	−0.000720074	+	0.00184949i	0.931504	+	0.363732i	$0.118498\pi$
$30$	−0.780622	+	0.181526i	−0.142521	+	0.0331419i
$31$	7.98936	+	3.37633i	1.43493	+	0.606407i	0.961594	−	0.274475i	$-0.0885040\pi$
$31$	7.98936	+	3.37633i	1.43493	+	0.606407i	0.473336	+	0.880882i	$0.343049\pi$
$32$	2.45595	+	1.57834i	0.434155	+	0.279014i
$33$	2.68824	+	10.1080i	0.467962	+	1.75958i
$34$	−0.749642	+	0.481766i	−0.128563	+	0.0826221i
$35$	1.18794	−	0.205581i	0.200799	−	0.0347496i
$36$	−1.15030	−	13.3927i	−0.191717	−	2.23212i
$37$	0.718138	−	8.36112i	0.118061	−	1.37456i	−0.662304	−	0.749236i	$-0.730421\pi$
$37$	0.718138	−	8.36112i	0.118061	−	1.37456i	0.780365	−	0.625325i	$-0.215033\pi$
$38$	−0.275184	−	0.0476224i	−0.0446407	−	0.00772537i
$39$	−11.8782	+	5.01978i	−1.90204	+	0.803808i
$40$	0.809125	−	0.587864i	0.127934	−	0.0929494i
$41$	−10.0229	+	5.66019i	−1.56531	+	0.883973i	−0.567136	+	0.823624i	$0.691949\pi$
$41$	−10.0229	+	5.66019i	−1.56531	+	0.883973i	−0.998177	+	0.0603486i	$0.980779\pi$
$42$	−0.0275916	−	0.965833i	−0.00425748	−	0.149031i
$43$	8.91576	−	2.61790i	1.35964	−	0.399227i	0.481005	−	0.876718i	$-0.340272\pi$
$43$	8.91576	−	2.61790i	1.35964	−	0.399227i	0.878636	+	0.477491i	$0.158454\pi$
$44$	−3.93448	−	5.07189i	−0.593145	−	0.764615i
$45$	−6.66397	−	1.95672i	−0.993406	−	0.291690i
$46$	0.0943358	−	0.358891i	0.0139091	−	0.0529155i
$47$	0.789344	−	3.89556i	0.115138	−	0.568226i	−0.880430	−	0.474176i	$-0.842746\pi$
$47$	0.789344	−	3.89556i	0.115138	−	0.568226i	0.995567	−	0.0940501i	$-0.0299814\pi$
$48$	5.32260	+	10.0875i	0.768251	+	1.45600i
$49$	0.158387	−	5.54427i	0.0226267	−	0.792039i
$50$	−0.0646062	−	0.245788i	−0.00913670	−	0.0347596i
$51$	−11.0398	+	0.631276i	−1.54588	+	0.0883964i
$52$	5.51559	−	5.67541i	0.764875	−	0.787038i
$53$	6.26080	−	3.07823i	0.859987	−	0.422827i	0.0427208	−	0.999087i	$-0.486397\pi$
$53$	6.26080	−	3.07823i	0.859987	−	0.422827i	0.817267	+	0.576260i	$0.195488\pi$
$54$	−1.31353	+	2.87623i	−0.178749	+	0.391405i
$55$	−3.17956	+	0.943611i	−0.428732	+	0.127236i
$56$	0.500890	+	1.09680i	0.0669343	+	0.146566i
$57$	−2.68282	−	2.19373i	−0.355349	−	0.290567i
$58$	−0.00126758	+	0.00240233i	−0.000166441	+	0.000315441i
$59$	10.9463	+	6.18166i	1.42509	+	0.804783i	0.995178	−	0.0980895i	$-0.0312731\pi$
$59$	10.9463	+	6.18166i	1.42509	+	0.804783i	0.429908	+	0.902873i	$0.358546\pi$
$60$	6.06377	−	0.695753i	0.782830	−	0.0898213i
$61$	−8.31385	+	0.953925i	−1.06448	+	0.122138i	−0.628493	−	0.777816i	$-0.716328\pi$
$61$	−8.31385	+	0.953925i	−1.06448	+	0.122138i	−0.435987	+	0.899953i	$0.643600\pi$
$62$	1.91934	+	1.08390i	0.243757	+	0.137656i
$63$	3.90752	−	7.40557i	0.492301	−	0.933015i
$64$	−5.02526	−	4.10913i	−0.628157	−	0.513641i
$65$	−1.69866	−	3.71955i	−0.210693	−	0.461353i
$66$	0.385904	+	2.62995i	0.0475016	+	0.323724i
$67$	0.706270	−	1.54652i	0.0862847	−	0.188937i	−0.861571	−	0.507637i	$-0.830519\pi$
$67$	0.706270	−	1.54652i	0.0862847	−	0.188937i	0.947856	+	0.318700i	$0.103246\pi$
$68$	6.09002	−	2.99426i	0.738523	−	0.363107i
$69$	3.20926	−	3.30225i	0.386350	−	0.397544i
$70$	0.305887	−	0.0174913i	0.0365605	−	0.00209060i
$71$	−0.458338	−	1.74370i	−0.0543948	−	0.206939i	0.934399	−	0.356229i	$-0.115938\pi$
$71$	−0.458338	−	1.74370i	−0.0543948	−	0.206939i	−0.988793	+	0.149290i	$0.952301\pi$
$72$	0.198357	−	6.94340i	0.0233766	−	0.818288i
$73$	−3.11500	−	5.90358i	−0.364583	−	0.690962i	0.631873	−	0.775072i	$-0.282286\pi$
$73$	−3.11500	−	5.90358i	−0.364583	−	0.690962i	−0.996456	+	0.0841099i	$0.973195\pi$
$74$	0.423532	−	2.09021i	0.0492346	−	0.242983i
$75$	0.801708	−	3.05001i	0.0925732	−	0.352185i
$76$	2.04070	+	0.599203i	0.234084	+	0.0687333i
$77$	−0.353706	−	3.98284i	−0.0403085	−	0.453887i
$78$	−3.14444	+	0.923290i	−0.356037	+	0.104542i
$79$	−0.247313	−	8.65709i	−0.0278249	−	0.973999i	−0.886848	−	0.462062i	$-0.847110\pi$
$79$	−0.247313	−	8.65709i	−0.0278249	−	0.973999i	0.859023	−	0.511937i	$-0.171072\pi$
$80$	−3.14919	+	1.77843i	−0.352090	+	0.198835i
$81$	−14.8870	+	10.8160i	−1.65411	+	1.20178i
$82$	−2.69456	+	1.13873i	−0.297564	+	0.125752i
$83$	6.51277	+	1.12708i	0.714869	+	0.123713i	0.516342	−	0.856382i	$-0.327293\pi$
$83$	6.51277	+	1.12708i	0.714869	+	0.123713i	0.198527	+	0.980095i	$0.436384\pi$
$84$	−0.629698	+	7.33144i	−0.0687057	+	0.799926i
$85$	−0.300059	−	3.49352i	−0.0325459	−	0.378926i
$86$	2.32689	−	0.402685i	0.250915	−	0.0434226i
$87$	−0.0283554	+	0.0182229i	−0.00304001	+	0.00195370i
$88$	−1.72114	−	2.83560i	−0.183474	−	0.302276i
$89$	−2.44602	−	1.57196i	−0.259277	−	0.166627i	0.404544	−	0.914518i	$-0.367430\pi$
$89$	−2.44602	−	1.57196i	−0.259277	−	0.166627i	−0.663822	+	0.747891i	$0.731067\pi$
$90$	−1.62584	−	0.687084i	−0.171378	−	0.0724250i
$91$	4.80165	−	1.11658i	0.503350	−	0.117049i
$92$	−1.02530	+	2.63347i	−0.106895	+	0.274558i
$93$	14.1250	+	23.4236i	1.46469	+	2.42891i
$94$	0.312146	−	0.960686i	0.0321954	−	0.0990872i
$95$	0.671048	−	0.870230i	0.0688481	−	0.0892838i
$96$	3.34024	+	8.57935i	0.340912	+	0.875626i
$97$	1.94269	+	2.84110i	0.197251	+	0.288470i	0.911398	−	0.411525i	$-0.135004\pi$
$97$	1.94269	+	2.84110i	0.197251	+	0.288470i	−0.714148	+	0.699995i	$0.753186\pi$
$98$	0.200604	−	1.39523i	0.0202641	−	0.140940i
$99$	−8.29508	+	21.4896i	−0.833687	+	2.15978i
$100$	0.275438	+	1.91571i	0.0275438	+	0.191571i
$101$	10.3937	−	9.53929i	1.03422	−	0.949195i	0.0354755	−	0.999371i	$-0.488705\pi$
$101$	10.3937	−	9.53929i	1.03422	−	0.949195i	0.998740	+	0.0501758i	$0.0159781\pi$
$102$	−2.80561	−	0.160431i	−0.277797	−	0.0158850i
$103$	1.09425	+	5.40035i	0.107820	+	0.532112i	0.997189	+	0.0749228i	$0.0238710\pi$
$103$	1.09425	+	5.40035i	0.107820	+	0.532112i	−0.889369	+	0.457189i	$0.848856\pi$
$104$	3.16594	−	2.58878i	0.310446	−	0.253850i
$105$	3.41190	+	1.67752i	0.332968	+	0.163709i
$106$	1.66990	−	0.595820i	0.162195	−	0.0578712i
$107$	9.48984	+	12.3066i	0.917417	+	1.18973i	0.981438	+	0.191779i	$0.0614258\pi$
$107$	9.48984	+	12.3066i	0.917417	+	1.18973i	−0.0640208	+	0.997949i	$0.520392\pi$
$108$	12.4351	−	20.6212i	1.19656	−	1.98428i
$109$	9.98758	+	11.5263i	0.956636	+	1.10402i	0.994500	+	0.104734i	$0.0333992\pi$
$109$	9.98758	+	11.5263i	0.956636	+	1.10402i	−0.0378638	+	0.999283i	$0.512055\pi$
$110$	−0.830112	+	0.146133i	−0.0791481	+	0.0139332i
$111$	17.3308	−	20.0008i	1.64497	−	1.89839i
$112$	−1.34739	−	4.14683i	−0.127316	−	0.391839i
$113$	8.92987	+	3.18617i	0.840051	+	0.299730i	0.720807	−	0.693135i	$-0.243771\pi$
$113$	8.92987	+	3.18617i	0.840051	+	0.299730i	0.119244	+	0.992865i	$0.461953\pi$
$114$	−0.613809	−	0.631595i	−0.0574885	−	0.0591542i
$115$	1.07576	+	0.987327i	0.100316	+	0.0920687i
$116$	0.0116760	−	0.0170756i	0.00108409	−	0.00158543i
$117$	−27.6618	−	6.43247i	−2.55733	−	0.594682i
$118$	2.58464	+	1.87785i	0.237936	+	0.172870i
$119$	4.19973	+	0.481874i	0.384989	+	0.0441734i
$120$	3.15404			0.287923
$121$	2.24689	+	10.7681i	0.204262	+	0.978916i
$122$	−2.12672			−0.192544
$123$	−36.0637	−	4.13793i	−3.25176	−	0.373104i
$124$	−13.5808	−	9.86703i	−1.21959	−	0.886086i
$125$	0.974012	+	0.226497i	0.0871183	+	0.0202585i
$126$	1.20111	−	1.75656i	0.107003	−	0.156487i
$127$	−1.08824	−	0.998777i	−0.0965656	−	0.0886271i	0.626438	−	0.779471i	$-0.284512\pi$
$127$	−1.08824	−	0.998777i	−0.0965656	−	0.0886271i	−0.723004	+	0.690844i	$0.757239\pi$
$128$	−5.21901	−	5.37023i	−0.461300	−	0.474666i
$129$	27.5997	+	9.84757i	2.43002	+	0.867030i
$130$	−0.321125	−	0.988321i	−0.0281645	−	0.0866815i
$131$	−8.58292	+	9.90521i	−0.749893	+	0.865422i	−0.994558	−	0.104185i	$-0.966777\pi$
$131$	−8.58292	+	9.90521i	−0.749893	+	0.865422i	0.244665	+	0.969608i	$0.421322\pi$
$132$	−0.636649	−	20.2332i	−0.0554132	−	1.76107i
$133$	0.867589	+	1.00125i	0.0752295	+	0.0868195i
$134$	0.223121	−	0.370005i	0.0192747	−	0.0319635i
$135$	−7.59767	−	9.85284i	−0.653904	−	0.847997i
$136$	3.30291	−	1.17848i	0.283222	−	0.101053i
$137$	−8.49805	−	4.17821i	−0.726038	−	0.356969i	0.0404901	−	0.999180i	$-0.487108\pi$
$137$	−8.49805	−	4.17821i	−0.726038	−	0.356969i	−0.766528	+	0.642211i	$0.778017\pi$
$138$	0.905939	−	0.740783i	0.0771187	−	0.0630596i
$139$	1.17535	+	5.80059i	0.0996921	+	0.492000i	0.998554	+	0.0537668i	$0.0171228\pi$
$139$	1.17535	+	5.80059i	0.0996921	+	0.492000i	−0.898861	+	0.438233i	$0.855605\pi$
$140$	−2.32953	−	0.133207i	−0.196881	−	0.0112581i
$141$	9.23489	−	8.47571i	0.777718	−	0.713783i
$142$	−0.0652074	−	0.453528i	−0.00547209	−	0.0380592i
$143$	−12.7600	+	4.59443i	−1.06704	+	0.384206i
$144$	−3.57478	+	24.8631i	−0.297898	+	2.07193i
$145$	−0.00603281	−	0.00882270i	−0.000500998	−	0.000732686i
$146$	−0.615452	−	1.58078i	−0.0509352	−	0.130826i
$147$	10.6812	−	13.8517i	0.880974	−	1.14247i
$148$	−5.01900	+	15.4469i	−0.412559	+	1.26973i
$149$	−5.77678	−	9.57971i	−0.473252	−	0.784800i	0.524528	−	0.851393i	$-0.324242\pi$
$149$	−5.77678	−	9.57971i	−0.473252	−	0.784800i	−0.997780	+	0.0665929i	$0.978787\pi$
$150$	0.290772	−	0.746843i	0.0237415	−	0.0609795i
$151$	−5.90440	+	1.37301i	−0.480493	+	0.111734i	−0.459745	−	0.888051i	$-0.652059\pi$
$151$	−5.90440	+	1.37301i	−0.480493	+	0.111734i	−0.0207480	+	0.999785i	$0.506605\pi$
$152$	1.01237	+	0.427831i	0.0821139	+	0.0347016i
$153$	−20.4870	−	13.1662i	−1.65627	−	1.06442i
$154$	0.0260768	−	1.01584i	0.00210133	−	0.0818583i
$155$	−7.29660	+	4.68924i	−0.586077	+	0.376649i
$156$	24.5923	−	4.25587i	1.96896	−	0.340742i
$157$	0.00346003	+	0.0402843i	0.000276140	+	0.00321504i	0.996469	−	0.0839674i	$-0.0267592\pi$
$157$	0.00346003	+	0.0402843i	0.000276140	+	0.00321504i	−0.996192	+	0.0871824i	$0.972214\pi$
$158$	0.188349	−	2.19291i	0.0149843	−	0.174458i
$159$	21.6793	+	3.75176i	1.71928	+	0.297534i
$160$	−2.68912	+	1.13643i	−0.212594	+	0.0898429i
$161$	−1.42417	+	1.03472i	−0.112240	+	0.0815474i
$162$	−4.07201	+	2.29957i	−0.319927	+	0.180671i
$163$	−0.626828	−	21.9418i	−0.0490970	−	1.71862i	−0.535207	−	0.844721i	$-0.679766\pi$
$163$	−0.626828	−	21.9418i	−0.0490970	−	1.71862i	0.486110	−	0.873897i	$-0.338415\pi$
$164$	21.3756	−	6.27643i	1.66915	−	0.490107i
$165$	−9.86123	−	3.48633i	−0.767696	−	0.271410i
$166$	1.61169	+	0.473236i	0.125092	+	0.0367303i
$167$	5.99911	−	22.8230i	0.464225	−	1.76610i	−0.162349	−	0.986733i	$-0.551907\pi$
$167$	5.99911	−	22.8230i	0.464225	−	1.76610i	0.626574	−	0.779362i	$-0.284457\pi$
$168$	−0.755141	+	3.72677i	−0.0582604	+	0.287526i
$169$	−1.73622	−	3.29051i	−0.133556	−	0.253116i
$170$	0.0254463	−	0.890738i	0.00195164	−	0.0683165i
$171$	−1.94026	−	7.38153i	−0.148376	−	0.564480i
$172$	−17.9549	+	1.02670i	−1.36904	+	0.0782848i
$173$	6.77098	−	6.96717i	0.514788	−	0.529704i	−0.409038	−	0.912517i	$-0.634136\pi$
$173$	6.77098	−	6.96717i	0.514788	−	0.529704i	0.923826	+	0.382813i	$0.125045\pi$
$174$	−0.00768708	+	0.00377948i	−0.000582756	+	0.000286522i
$175$	−0.500823	+	1.09665i	−0.0378587	+	0.0828990i
$176$	5.01451	+	10.8967i	0.377983	+	0.821366i
$177$	16.4690	+	36.0620i	1.23788	+	2.71059i
$178$	−0.572032	−	0.467749i	−0.0428756	−	0.0350592i
$179$	1.98020	−	3.75290i	0.148007	−	0.280505i	−0.799238	−	0.601015i	$-0.794763\pi$
$179$	1.98020	−	3.75290i	0.148007	−	0.280505i	0.947245	+	0.320510i	$0.103854\pi$
$180$	11.7046	+	6.60990i	0.872410	+	0.492673i
$181$	−15.7739	+	1.80989i	−1.17247	+	0.134528i	−0.678264	−	0.734818i	$-0.737267\pi$
$181$	−15.7739	+	1.80989i	−1.17247	+	0.134528i	−0.494203	+	0.869346i	$0.664540\pi$
$182$	1.24467	−	0.142813i	0.0922611	−	0.0105860i
$183$	−22.9796	−	12.9772i	−1.69870	−	0.959301i
$184$	−0.681503	+	1.29159i	−0.0502410	+	0.0952173i
$185$	6.49652	+	5.31218i	0.477634	+	0.390559i
$186$	2.88770	+	6.32319i	0.211737	+	0.463639i
$187$	−11.6293	+	0.0336699i	−0.850419	+	0.00246218i
$188$	−3.19568	+	6.99757i	−0.233069	+	0.510350i
$189$	13.4610	−	6.61833i	0.979144	−	0.481413i
$190$	0.194636	−	0.200276i	0.0141204	−	0.0145296i
$191$	4.03025	−	0.230458i	0.291618	−	0.0166753i	0.0893325	−	0.996002i	$-0.471527\pi$
$191$	4.03025	−	0.230458i	0.291618	−	0.0166753i	0.202286	+	0.979327i	$0.435163\pi$
$192$	−5.20420	−	19.7988i	−0.375581	−	1.42886i
$193$	−0.0895320	+	3.13403i	−0.00644465	+	0.225592i	0.989985	+	0.141170i	$0.0450864\pi$
$193$	−0.0895320	+	3.13403i	−0.00644465	+	0.225592i	−0.996430	+	0.0844225i	$0.973095\pi$
$194$	0.408187	+	0.773600i	0.0293061	+	0.0555412i
$195$	2.56090	−	12.6385i	0.183390	−	0.905063i
$196$	−2.72899	+	10.3822i	−0.194928	+	0.741584i
$197$	19.7096	+	5.78727i	1.40425	+	0.412326i	0.894142	−	0.447783i	$-0.147786\pi$
$197$	19.7096	+	5.78727i	1.40425	+	0.412326i	0.510111	+	0.860109i	$0.329604\pi$
$198$	−2.71689	+	5.18539i	−0.193081	+	0.368510i
$199$	9.17634	−	2.69442i	0.650493	−	0.191002i	0.0601943	−	0.998187i	$-0.480828\pi$
$199$	9.17634	−	2.69442i	0.650493	−	0.191002i	0.590299	+	0.807185i	$0.299010\pi$
$200$	0.0285599	+	0.999726i	0.00201949	+	0.0706913i
$201$	4.66863	−	2.63650i	0.329300	−	0.185964i
$202$	2.90056	−	2.10738i	0.204083	−	0.148275i
$203$	0.0118692	−	0.00501594i	0.000833051	−	0.000352050i
$204$	21.0880	+	3.64942i	1.47645	+	0.255510i
$205$	0.985028	−	11.4685i	0.0687973	−	0.800993i
$206$	0.119832	+	1.39518i	0.00834910	+	0.0972068i
$207$	9.99277	−	1.72932i	0.694545	−	0.120196i
$208$	−12.4411	+	7.99541i	−0.862635	+	0.554382i
$209$	−2.69231	−	2.45665i	−0.186231	−	0.169930i
$210$	0.812842	+	0.522382i	0.0560914	+	0.0360478i
$211$	−23.9440	−	10.1188i	−1.64837	−	0.696609i	−0.650361	−	0.759625i	$-0.725382\pi$
$211$	−23.9440	−	10.1188i	−1.64837	−	0.696609i	−0.998012	+	0.0630166i	$0.979928\pi$
$212$	−13.1517	+	3.05830i	−0.903265	+	0.210045i
$213$	2.06284	−	5.29836i	0.141343	−	0.363037i
$214$	2.03948	+	3.38210i	0.139416	+	0.231196i
$215$	−2.87144	+	8.83737i	−0.195830	+	0.602704i
$216$	7.59869	−	9.85416i	0.517025	−	0.670490i
$217$	−3.79378	−	9.74426i	−0.257539	−	0.661483i
$218$	2.18776	+	3.19949i	0.148174	+	0.216697i
$219$	2.99578	−	20.8361i	0.202436	−	1.40797i
$220$	6.40749	−	0.385008i	0.431993	−	0.0259573i
$221$	−2.04049	−	14.1919i	−0.137258	−	0.954650i
$222$	4.95510	−	4.54775i	0.332564	−	0.305225i
$223$	−26.2686	−	1.50209i	−1.75907	−	0.100587i	−0.852524	−	0.522688i	$-0.824929\pi$
$223$	−26.2686	−	1.50209i	−1.75907	−	0.100587i	−0.906549	+	0.422101i	$0.861293\pi$
$224$	−0.698962	−	3.44951i	−0.0467013	−	0.230480i
$225$	5.37665	−	4.39647i	0.358443	−	0.293098i
$226$	2.16231	+	1.06314i	0.143835	+	0.0707189i
$227$	−0.163054	+	0.0581776i	−0.0108223	+	0.00386138i	−0.341455	−	0.939898i	$-0.610920\pi$
$227$	−0.163054	+	0.0581776i	−0.0108223	+	0.00386138i	0.330633	+	0.943760i	$0.392738\pi$
$228$	4.09578	+	5.31150i	0.271250	+	0.351763i
$229$	−10.0663	+	16.6930i	−0.665198	+	1.10311i	0.322475	+	0.946578i	$0.395485\pi$
$229$	−10.0663	+	16.6930i	−0.665198	+	1.10311i	−0.987673	+	0.156530i	$0.949969\pi$
$230$	0.243007	+	0.280445i	0.0160234	+	0.0184920i
$231$	6.48037	−	10.8172i	0.426377	−	0.711719i
$232$	0.00700013	−	0.00807858i	0.000459581	−	0.000530385i
$233$	2.40649	+	7.40640i	0.157654	+	0.485210i	0.998420	−	0.0561891i	$-0.0178950\pi$
$233$	2.40649	+	7.40640i	0.157654	+	0.485210i	−0.840766	+	0.541399i	$0.817895\pi$
$234$	−6.79771	−	2.42542i	−0.444380	−	0.158554i
$235$	2.77014	+	2.85041i	0.180704	+	0.185940i
$236$	−17.9252	−	16.4516i	−1.16683	−	1.07091i
$237$	15.4162	−	22.5455i	1.00139	−	1.46449i
$238$	1.04639	+	0.243328i	0.0678274	+	0.0157726i
$239$	−7.79065	−	5.66024i	−0.503935	−	0.366130i	0.306583	−	0.951844i	$-0.400814\pi$
$239$	−7.79065	−	5.66024i	−0.503935	−	0.366130i	−0.810518	+	0.585714i	$0.800814\pi$
$240$	−11.3312	−	1.30014i	−0.731427	−	0.0839234i
$241$	−2.70065			−0.173964			−0.0869821	−	0.996210i	$-0.527722\pi$
$241$	−2.70065			−0.173964			−0.0869821	+	0.996210i	$0.527722\pi$
$242$	0.255349	+	2.78382i	0.0164145	+	0.178951i
$243$	−20.7049			−1.32822
$244$	16.0907	+	1.84624i	1.03010	+	0.118193i
$245$	4.48724	+	3.26017i	0.286679	+	0.208285i
$246$	−8.98551	−	2.08949i	−0.572895	−	0.133221i
$247$	2.53634	−	3.70928i	0.161383	−	0.236016i
$248$	−6.39097	−	5.86558i	−0.405827	−	0.372465i
$249$	14.5270	+	14.9479i	0.920612	+	0.947287i
$250$	0.239357	+	0.0854025i	0.0151383	+	0.00540133i
$251$	6.06797	+	18.6753i	0.383007	+	1.17877i	0.937916	+	0.346863i	$0.112753\pi$
$251$	6.06797	+	18.6753i	0.383007	+	1.17877i	−0.554909	+	0.831911i	$0.687247\pi$
$252$	−10.6125	+	12.2474i	−0.668523	+	0.771517i
$253$	3.55841	−	3.28491i	0.223715	−	0.206521i
$254$	−0.245825	−	0.283697i	−0.0154244	−	0.0178007i
$255$	5.71022	−	9.46933i	0.357588	−	0.592992i
$256$	6.76578	+	8.77403i	0.422862	+	0.548377i
$257$	−23.7399	+	8.47039i	−1.48086	+	0.528368i	−0.948120	−	0.317913i	$-0.897018\pi$
$257$	−23.7399	+	8.47039i	−1.48086	+	0.528368i	−0.532736	+	0.846281i	$0.678836\pi$
$258$	6.68311	+	3.28586i	0.416072	+	0.204569i
$259$	−7.83219	+	6.40435i	−0.486669	+	0.397947i
$260$	1.57165	+	7.75641i	0.0974698	+	0.481032i
$261$	−0.0741109	−	0.00423781i	−0.00458735	−	0.000262314i
$262$	−2.45396	+	2.25223i	−0.151606	+	0.139143i
$263$	−3.22854	−	22.4550i	−0.199080	−	1.38463i	−0.806960	−	0.590606i	$-0.798889\pi$
$263$	−3.22854	−	22.4550i	−0.199080	−	1.38463i	0.607880	−	0.794029i	$-0.292020\pi$
$264$	0.865001	−	10.4249i	0.0532371	−	0.641611i
$265$	−0.992876	+	6.90560i	−0.0609919	+	0.424208i
$266$	0.190043	+	0.277930i	0.0116523	+	0.0170410i
$267$	−3.32674	−	8.54465i	−0.203593	−	0.522924i
$268$	−2.00934	+	2.60576i	−0.122740	+	0.159172i
$269$	−1.26086	+	3.88053i	−0.0768760	+	0.236600i	−0.982108	−	0.188317i	$-0.939697\pi$
$269$	−1.26086	+	3.88053i	−0.0768760	+	0.236600i	0.905232	+	0.424917i	$0.139697\pi$
$270$	−1.63283	−	2.70775i	−0.0993710	−	0.164788i
$271$	−5.78089	+	14.8481i	−0.351164	+	0.901958i	0.639886	+	0.768470i	$0.278981\pi$
$271$	−5.78089	+	14.8481i	−0.351164	+	0.901958i	−0.991050	+	0.133488i	$0.957382\pi$
$272$	−12.3518	+	2.87229i	−0.748939	+	0.174158i
$273$	14.3204	+	6.05183i	0.866707	+	0.366273i
$274$	−2.02455	−	1.30110i	−0.122308	−	0.0786023i
$275$	1.01576	−	3.15725i	0.0612524	−	0.190389i
$276$	−7.49742	+	4.81830i	−0.451292	+	0.290028i
$277$	14.3871	−	2.48979i	0.864439	−	0.149597i	0.278978	−	0.960298i	$-0.410004\pi$
$277$	14.3871	−	2.48979i	0.864439	−	0.149597i	0.585461	+	0.810701i	$0.300914\pi$
$278$	0.128714	+	1.49858i	0.00771972	+	0.0898791i
$279$	−5.15504	+	60.0191i	−0.308624	+	3.59325i
$280$	−1.18810	−	0.205609i	−0.0710025	−	0.0122875i
$281$	−2.42955	+	1.02674i	−0.144935	+	0.0612501i	−0.460531	−	0.887644i	$-0.652341\pi$
$281$	−2.42955	+	1.02674i	−0.144935	+	0.0612501i	0.315596	+	0.948894i	$0.397796\pi$
$282$	2.57716	−	1.87242i	0.153468	−	0.111501i
$283$	−12.0983	+	6.83223i	−0.719170	+	0.406134i	−0.807430	−	0.589964i	$-0.799142\pi$
$283$	−12.0983	+	6.83223i	−0.719170	+	0.406134i	0.0882600	+	0.996097i	$0.471869\pi$
$284$	0.0996441	+	3.48800i	0.00591279	+	0.206975i
$285$	3.32517	−	0.976357i	0.196966	−	0.0578344i
$286$	−3.35473	+	0.790355i	−0.198370	+	0.0467347i
$287$	13.3151	+	3.90968i	0.785968	+	0.230781i
$288$	−5.15455	+	19.6099i	−0.303735	+	1.15553i
$289$	−0.934423	+	4.61156i	−0.0549661	+	0.271268i
$290$	−0.00126758	−	0.00240233i	−7.44347e−5	−	0.000141069i
$291$	−0.309950	+	10.8497i	−0.0181696	+	0.636018i
$292$	3.28421	+	12.4944i	0.192194	+	0.731182i
$293$	17.5852	−	1.00556i	1.02734	−	0.0587454i	0.464717	−	0.885459i	$-0.346156\pi$
$293$	17.5852	−	1.00556i	1.02734	−	0.0587454i	0.562622	+	0.826714i	$0.309793\pi$
$294$	3.09808	−	3.18785i	0.180684	−	0.185919i
$295$	−11.2813	+	5.54666i	−0.656825	+	0.322939i
$296$	−3.48659	+	7.63457i	−0.202654	+	0.443750i
$297$	−34.6499	+	22.4102i	−2.01059	+	1.30037i
$298$	−1.18100	−	2.58604i	−0.0684137	−	0.149805i
$299$	4.62218	+	3.77954i	0.267308	+	0.218576i
$300$	−2.84833	+	5.39819i	−0.164448	+	0.311665i
$301$	−9.75463	−	5.50869i	−0.562247	−	0.317516i
$302$	−1.53052	+	0.175611i	−0.0880715	+	0.0101053i
$303$	44.2004	−	5.07152i	2.53925	−	0.291351i
$304$	−3.46068	−	1.95434i	−0.198484	−	0.112089i
$305$	3.90526	−	7.40128i	0.223614	−	0.423796i
$306$	−4.79114	−	3.91769i	−0.273891	−	0.223960i
$307$	−13.1011	−	28.6873i	−0.747716	−	1.63727i	−0.770427	−	0.637529i	$-0.779957\pi$
$307$	−13.1011	−	28.6873i	−0.747716	−	1.63727i	0.0227102	−	0.999742i	$-0.492770\pi$
$308$	−1.07916	+	7.66317i	−0.0614909	+	0.436650i
$309$	−7.21855	+	15.8064i	−0.410649	+	0.899196i
$310$	−1.97809	+	0.972563i	−0.112348	+	0.0552379i
$311$	−9.65147	+	9.93113i	−0.547285	+	0.563143i	−0.933184	−	0.359398i	$-0.882982\pi$
$311$	−9.65147	+	9.93113i	−0.547285	+	0.563143i	0.385900	+	0.922541i	$0.373891\pi$
$312$	12.8760	−	0.736279i	0.728963	−	0.0416836i
$313$	3.84865	+	14.6418i	0.217538	+	0.827602i	0.982921	+	0.184027i	$0.0589133\pi$
$313$	3.84865	+	14.6418i	0.217538	+	0.827602i	−0.765383	+	0.643575i	$0.777450\pi$
$314$	−0.000293426		0.0102712i	−1.65590e−5		0.000579639i
$315$	3.90752	+	7.40557i	0.220164	+	0.417257i
$316$	−3.32875	+	16.4280i	−0.187257	+	0.924150i
$317$	−3.85870	+	14.6800i	−0.216726	+	0.824512i	0.766519	+	0.642222i	$0.221987\pi$
$317$	−3.85870	+	14.6800i	−0.216726	+	0.824512i	−0.983245	+	0.182290i	$0.941649\pi$
$318$	5.36492	+	1.57528i	0.300850	+	0.0883375i
$319$	−0.0308159	+	0.0175204i	−0.00172536	+	0.000980954i
$320$	6.22844	−	1.82884i	0.348181	−	0.102235i
$321$	1.39951	+	48.9891i	0.0781129	+	2.73431i
$322$	−0.389550	+	0.219989i	−0.0217088	+	0.0122595i
$323$	3.11731	−	2.26486i	0.173452	−	0.126020i
$324$	32.8051	−	13.8636i	1.82251	−	0.770198i
$325$	4.02918	+	0.697277i	0.223499	+	0.0386780i
$326$	0.477381	−	5.55804i	0.0264397	−	0.307832i
$327$	4.11592	+	47.9208i	0.227611	+	2.65003i
$328$	11.3436	−	1.96309i	0.626347	−	0.108394i
$329$	−4.03122	+	2.59071i	−0.222249	+	0.142830i
$330$	−2.38877	−	1.16590i	−0.131497	−	0.0641809i
$331$	17.1069	+	10.9939i	0.940280	+	0.604281i	0.918474	−	0.395481i	$-0.129422\pi$
$331$	17.1069	+	10.9939i	0.940280	+	0.604281i	0.0218055	+	0.999762i	$0.493059\pi$
$332$	−11.7833	−	4.97965i	−0.646690	−	0.273294i
$333$	56.7697	−	13.2012i	3.11096	−	0.723422i
$334$	2.17583	−	5.58856i	0.119056	−	0.305792i
$335$	0.877956	+	1.45593i	0.0479679	+	0.0795458i
$336$	4.24914	−	13.0775i	0.231810	−	0.713437i
$337$	1.74467	−	2.26252i	0.0950380	−	0.123247i	−0.741982	−	0.670420i	$-0.766114\pi$
$337$	1.74467	−	2.26252i	0.0950380	−	0.123247i	0.837020	+	0.547172i	$0.184296\pi$
$338$	−0.343038	−	0.881086i	−0.0186588	−	0.0479248i
$339$	16.8770	+	24.6818i	0.916633	+	1.34053i
$340$	−0.965792	+	6.71723i	−0.0523774	+	0.364293i
$341$	13.4981	+	25.4033i	0.730962	+	1.37566i
$342$	−0.276040	−	1.91990i	−0.0149265	−	0.103816i
$343$	−11.1440	+	10.2279i	−0.601719	+	0.552253i
$344$	−9.27825	−	0.530549i	−0.500250	−	0.0286053i
$345$	0.914470	+	4.51309i	0.0492334	+	0.242976i
$346$	1.91137	−	1.56292i	0.102756	−	0.0840232i
$347$	−10.2667	−	5.04781i	−0.551147	−	0.270981i	0.144330	−	0.989530i	$-0.453897\pi$
$347$	−10.2667	−	5.04781i	−0.551147	−	0.270981i	−0.695476	+	0.718549i	$0.744807\pi$
$348$	0.0614415	−	0.0219223i	0.00329361	−	0.00117516i
$349$	−16.8338	−	21.8304i	−0.901091	−	1.16856i	−0.985081	−	0.172089i	$-0.944948\pi$
$349$	−16.8338	−	21.8304i	−0.901091	−	1.16856i	0.0839905	−	0.996467i	$-0.473233\pi$
$350$	−0.158217	+	0.262374i	−0.00845707	+	0.0140245i
$351$	−33.3168	−	38.4496i	−1.77832	−	2.05229i
$352$	3.01872	+	9.19993i	0.160898	+	0.490358i
$353$	12.8102	−	14.7837i	0.681816	−	0.786858i	−0.304360	−	0.952557i	$-0.598443\pi$
$353$	12.8102	−	14.7837i	0.681816	−	0.786858i	0.986176	+	0.165699i	$0.0529880\pi$
$354$	3.11340	+	9.58205i	0.165475	+	0.509280i
$355$	1.69808	+	0.605874i	0.0901248	+	0.0321565i
$356$	3.92194	+	4.03558i	0.207862	+	0.213885i
$357$	9.82168	+	9.01426i	0.519818	+	0.477085i
$358$	0.608681	−	0.890168i	0.0321698	−	0.0470468i
$359$	36.7248	+	8.53999i	1.93826	+	0.450723i	0.991778	+	0.127973i	$0.0408470\pi$
$359$	36.7248	+	8.53999i	1.93826	+	0.450723i	0.946484	+	0.322751i	$0.104608\pi$
$360$	5.61962	+	4.08289i	0.296180	+	0.215187i
$361$	−17.6764	−	2.02818i	−0.930338	−	0.106746i
$362$	−4.03504			−0.212077
$363$	−14.2277	+	31.6379i	−0.746761	+	1.66056i
$364$	−9.54115			−0.500092
$365$	6.63148	+	0.760891i	0.347107	+	0.0398269i
$366$	−5.42596	−	3.94219i	−0.283619	−	0.206062i
$367$	−25.7093	−	5.97844i	−1.34201	−	0.312072i	−0.506832	−	0.862045i	$-0.669183\pi$
$367$	−25.7093	−	5.97844i	−1.34201	−	0.312072i	−0.835182	+	0.549973i	$0.814638\pi$
$368$	2.98078	−	4.35925i	0.155384	−	0.227242i
$369$	−58.8990	−	54.0570i	−3.06616	−	2.81410i
$370$	1.48635	+	1.52942i	0.0772718	+	0.0795108i
$371$	−7.92184	−	2.82651i	−0.411282	−	0.146745i
$372$	−16.3591	−	50.3481i	−0.848180	−	2.61043i
$373$	−7.94757	+	9.17198i	−0.411510	+	0.474907i	−0.923232	−	0.384244i	$-0.874462\pi$
$373$	−7.94757	+	9.17198i	−0.411510	+	0.474907i	0.511722	+	0.859151i	$0.329008\pi$
$374$	−2.93715	−	0.328393i	−0.151876	−	0.0169808i
$375$	2.06518	+	2.38335i	0.106645	+	0.123075i
$376$	−2.05282	+	3.40421i	−0.105866	+	0.175559i
$377$	−0.0266879	−	0.0346095i	−0.00137450	−	0.00178248i
$378$	3.59037	−	1.28104i	0.184669	−	0.0658896i
$379$	−19.9553	−	9.81135i	−1.02503	−	0.503975i	−0.150331	−	0.988636i	$-0.548034\pi$
$379$	−19.9553	−	9.81135i	−1.02503	−	0.503975i	−0.874702	+	0.484661i	$0.838943\pi$
$380$	−1.64648	+	1.34632i	−0.0844628	+	0.0690649i
$381$	−0.925075	−	4.56543i	−0.0473930	−	0.233894i
$382$	1.02423	+	0.0585678i	0.0524044	+	0.00299659i
$383$	6.35430	−	5.83192i	0.324690	−	0.297997i	−0.497210	−	0.867631i	$-0.665642\pi$
$383$	6.35430	−	5.83192i	0.324690	−	0.297997i	0.821899	+	0.569633i	$0.192915\pi$
$384$	−3.36088	−	23.3755i	−0.171509	−	1.19287i
$385$	3.48737	+	1.95611i	0.177733	+	0.0996927i
$386$	−0.113396	+	0.788687i	−0.00577170	+	0.0401431i
$387$	36.4274	+	53.2734i	1.85171	+	2.70804i
$388$	−2.41677	−	6.20741i	−0.122693	−	0.315134i
$389$	−0.753438	+	0.977075i	−0.0382008	+	0.0495397i	−0.810615	−	0.585579i	$-0.800867\pi$
$389$	−0.753438	+	0.977075i	−0.0382008	+	0.0495397i	0.772414	+	0.635119i	$0.219049\pi$
$390$	1.01271	−	3.11679i	0.0512804	−	0.157825i
$391$	2.64390	+	4.38442i	0.133708	+	0.221730i
$392$	−2.01259	+	5.16931i	−0.101651	+	0.261089i
$393$	−40.2587	+	9.36175i	−2.03078	+	0.472238i
$394$	4.80864	+	2.03215i	0.242256	+	0.102378i
$395$	7.28578	+	4.68229i	0.366587	+	0.235591i
$396$	25.0575	−	36.8741i	1.25919	−	1.85299i
$397$	12.3316	−	7.92501i	0.618903	−	0.397745i	−0.193283	−	0.981143i	$-0.561914\pi$
$397$	12.3316	−	7.92501i	0.618903	−	0.397745i	0.812186	+	0.583398i	$0.198277\pi$
$398$	2.39490	−	0.414454i	0.120045	−	0.0207747i
$399$	0.357537	+	4.16273i	0.0178992	+	0.208397i
$400$	0.309496	−	3.60339i	0.0154748	−	0.180170i
$401$	31.3110	+	5.41857i	1.56359	+	0.270591i	0.885590	−	0.464467i	$-0.153754\pi$
$401$	31.3110	+	5.41857i	1.56359	+	0.270591i	0.678004	+	0.735058i	$0.262845\pi$
$402$	1.25511	−	0.530416i	0.0625994	−	0.0264547i
$403$	−28.6930	+	20.8467i	−1.42930	+	1.03845i
$404$	−23.7751	+	13.4264i	−1.18286	+	0.667989i
$405$	−0.525470	−	18.3939i	−0.0261108	−	0.913998i
$406$	0.00314204		0.000922585i	0.000155937		4.57871e-5i
$407$	19.3399	−	20.0159i	0.958641	−	0.992150i
$408$	10.6113	+	3.11576i	0.525337	+	0.154253i
$409$	4.27558	−	16.2660i	0.211414	−	0.804301i	−0.773866	−	0.633350i	$-0.781680\pi$
$409$	4.27558	−	16.2660i	0.211414	−	0.804301i	0.985279	−	0.170951i	$-0.0546841\pi$
$410$	0.580935	−	2.86703i	0.0286903	−	0.141592i
$411$	−13.9364	−	26.4124i	−0.687432	−	1.30283i
$412$	0.304531	−	10.6600i	0.0150032	−	0.525179i
$413$	−3.85287	−	14.6579i	−0.189588	−	0.721266i
$414$	2.57307	−	0.147134i	0.126460	−	0.00723122i
$415$	−4.60646	+	4.73993i	−0.226122	+	0.232674i
$416$	−10.7128	+	5.26712i	−0.525237	+	0.258242i
$417$	−7.75356	+	16.9779i	−0.379693	+	0.831412i
$418$	−0.608587	−	0.698251i	−0.0297669	−	0.0341526i
$419$	5.65924	+	12.3920i	0.276472	+	0.605389i	0.996028	−	0.0890457i	$-0.0283817\pi$
$419$	5.65924	+	12.3920i	0.276472	+	0.605389i	−0.719556	+	0.694435i	$0.755654\pi$
$420$	−5.69647	−	4.65798i	−0.277959	−	0.227286i
$421$	14.8388	−	28.1226i	0.723199	−	1.37061i	−0.197486	−	0.980306i	$-0.563278\pi$
$421$	14.8388	−	28.1226i	0.723199	−	1.37061i	0.920684	−	0.390308i	$-0.127632\pi$
$422$	−5.75225	−	3.24845i	−0.280015	−	0.158132i
$423$	27.4258	−	3.14682i	1.33349	−	0.153003i
$424$	−6.93207	+	0.795380i	−0.336651	+	0.0386271i
$425$	3.05317	+	1.72420i	0.148100	+	0.0836362i
$426$	0.674316	−	1.27797i	0.0326707	−	0.0619179i
$427$	7.81025	+	6.38641i	0.377964	+	0.309060i
$428$	−12.4947	−	27.3595i	−0.603952	−	1.32247i
$429$	−41.0713	−	11.9306i	−1.98294	−	0.576014i
$430$	−0.980994	+	2.14808i	−0.0473077	+	0.103590i
$431$	14.7857	−	7.26964i	0.712202	−	0.350166i	−0.0488952	−	0.998804i	$-0.515570\pi$
$431$	14.7857	−	7.26964i	0.712202	−	0.350166i	0.761097	+	0.648638i	$0.224661\pi$
$432$	−31.3611	+	32.2698i	−1.50886	+	1.55258i
$433$	3.95569	−	0.226195i	0.190099	−	0.0108702i	0.0382198	−	0.999269i	$-0.487831\pi$
$433$	3.95569	−	0.226195i	0.190099	−	0.0108702i	0.151879	+	0.988399i	$0.451468\pi$
$434$	−0.675570	−	2.57014i	−0.0324284	−	0.123370i
$435$	0.000962513	−	0.0336923i	4.61490e−5	−	0.00161542i
$436$	−13.7750	−	26.1066i	−0.659704	−	1.25028i
$437$	−0.318657	+	1.57263i	−0.0152434	+	0.0752292i
$438$	1.35998	−	5.17392i	0.0649826	−	0.247219i
$439$	19.8325	+	5.82336i	0.946555	+	0.277934i	0.718352	−	0.695680i	$-0.244897\pi$
$439$	19.8325	+	5.82336i	0.946555	+	0.277934i	0.228203	+	0.973614i	$0.426715\pi$
$440$	3.31219	+	0.179779i	0.157903	+	0.00857061i
$441$	36.9620	−	10.8530i	1.76009	−	0.516810i
$442$	−0.104052	−	3.64229i	−0.00494924	−	0.173246i
$443$	2.34487	−	1.32421i	0.111408	−	0.0629150i	−0.435022	−	0.900420i	$-0.643259\pi$
$443$	2.34487	−	1.32421i	0.111408	−	0.0629150i	0.546430	+	0.837505i	$0.315987\pi$
$444$	−41.4382	+	30.1067i	−1.96657	+	1.42880i
$445$	2.67825	−	1.13184i	0.126961	−	0.0536542i
$446$	−6.58878	−	1.14023i	−0.311988	−	0.0539916i
$447$	3.01896	−	35.1491i	0.142792	−	1.66250i
$448$	0.669710	+	7.79730i	0.0316408	+	0.368388i
$449$	−27.8223	+	4.81483i	−1.31301	+	0.227226i	−0.783668	−	0.621180i	$-0.786654\pi$
$449$	−27.8223	+	4.81483i	−1.31301	+	0.227226i	−0.529346	+	0.848406i	$0.677563\pi$
$450$	1.48486	−	0.954262i	0.0699970	−	0.0449844i
$451$	−37.6362	−	6.40103i	−1.77222	−	0.301413i
$452$	−15.4371	−	9.92084i	−0.726102	−	0.466637i
$453$	−17.6092	−	7.44169i	−0.827350	−	0.349641i
$454$	−0.0428533	+	0.00996511i	−0.00201121	+	0.000467686i
$455$	−1.78856	+	4.59388i	−0.0838489	+	0.215364i
$456$	1.78984	+	2.96811i	0.0838169	+	0.138995i
$457$	9.83794	−	30.2781i	0.460199	−	1.41635i	−0.404721	−	0.914440i	$-0.632632\pi$
$457$	9.83794	−	30.2781i	0.460199	−	1.41635i	0.864921	−	0.501908i	$-0.167368\pi$
$458$	−3.02512	+	3.92305i	−0.141355	+	0.183312i
$459$	−15.8280	−	40.6539i	−0.738787	−	1.89756i
$460$	−1.59513	−	2.33280i	−0.0743734	−	0.108768i
$461$	−1.49903	+	10.4260i	−0.0698169	+	0.485587i	0.924674	+	0.380761i	$0.124338\pi$
$461$	−1.49903	+	10.4260i	−0.0698169	+	0.485587i	−0.994491	+	0.104827i	$0.966571\pi$
$462$	1.94953	−	2.54339i	0.0907005	−	0.118329i
$463$	−2.30285	−	16.0167i	−0.107023	−	0.744359i	−0.970697	−	0.240308i	$-0.922751\pi$
$463$	−2.30285	−	16.0167i	−0.107023	−	0.744359i	0.863674	−	0.504051i	$-0.168158\pi$
$464$	−0.0284788	+	0.0261376i	−0.00132210	+	0.00121341i
$465$	−27.3083	−	1.56154i	−1.26639	−	0.0724148i
$466$	0.393031	+	1.93968i	0.0182068	+	0.0898542i
$467$	17.0953	−	13.9787i	0.791074	−	0.646858i	−0.148612	−	0.988896i	$-0.547481\pi$
$467$	17.0953	−	13.9787i	0.791074	−	0.646858i	0.939686	+	0.342038i	$0.111117\pi$
$468$	49.3259	+	24.2519i	2.28009	+	1.12105i
$469$	−1.93050	+	0.688802i	−0.0891423	+	0.0318059i
$470$	0.616831	+	0.799921i	0.0284523	+	0.0368976i
$471$	−0.0658454	+	0.109192i	−0.00303400	+	0.00503132i
$472$	−8.23346	−	9.50192i	−0.378976	−	0.437361i
$473$	28.4224	+	11.9145i	1.30686	+	0.547830i
$474$	4.54543	−	5.24570i	0.208778	−	0.240943i
$475$	0.339582	+	1.04513i	0.0155811	+	0.0479537i
$476$	−7.70575	−	2.74941i	−0.353192	−	0.126019i
$477$	33.7699	+	34.7484i	1.54622	+	1.59102i
$478$	−1.80301	−	1.65479i	−0.0824678	−	0.0756883i
$479$	−12.2925	+	17.9772i	−0.561657	+	0.821398i	−0.996881	−	0.0789249i	$-0.974851\pi$
$479$	−12.2925	+	17.9772i	−0.561657	+	0.821398i	0.435223	+	0.900323i	$0.356669\pi$
$480$	−8.96739	−	2.08528i	−0.409303	−	0.0951794i
$481$	27.7615	+	20.1699i	1.26581	+	0.919668i
$482$	−0.681861	−	0.0782363i	−0.0310579	−	0.00356356i
$483$	−5.55154			−0.252604
$484$	0.484709	−	21.2840i	0.0220322	−	0.967456i
$485$	−3.44179			−0.156283
$486$	−5.22758	−	0.599809i	−0.237128	−	0.0272079i
$487$	2.37440	+	1.72510i	0.107594	+	0.0781717i	0.640281	−	0.768140i	$-0.278818\pi$
$487$	2.37440	+	1.72510i	0.107594	+	0.0781717i	−0.532687	+	0.846312i	$0.678818\pi$
$488$	8.15201	+	1.89567i	0.369024	+	0.0858128i
$489$	39.0733	−	57.1428i	1.76695	−	2.58409i
$490$	1.03849	+	0.953122i	0.0469144	+	0.0430576i
$491$	20.6379	+	21.2359i	0.931375	+	0.958362i	0.999226	−	0.0393336i	$-0.0125235\pi$
$491$	20.6379	+	21.2359i	0.931375	+	0.958362i	−0.0678516	+	0.997695i	$0.521614\pi$
$492$	66.1704	+	23.6096i	2.98319	+	1.06440i
$493$	−0.0115809	−	0.0356422i	−0.000521576	−	0.00160525i
$494$	0.747831	−	0.863043i	0.0336465	−	0.0388301i
$495$	−13.0569	−	18.9770i	−0.586866	−	0.852953i
$496$	20.5424	+	23.7071i	0.922379	+	1.06448i
$497$	−1.12245	+	1.86137i	−0.0503486	+	0.0834938i
$498$	3.23475	+	4.19490i	0.144953	+	0.187978i
$499$	−7.34612	+	2.62109i	−0.328858	+	0.117336i	−0.495317	−	0.868712i	$-0.664948\pi$
$499$	−7.34612	+	2.62109i	−0.328858	+	0.117336i	0.166460	+	0.986048i	$0.446766\pi$
$500$	−1.73684	−	0.853946i	−0.0776738	−	0.0381896i
$501$	57.6115	−	47.1087i	2.57389	−	2.10466i
$502$	0.991031	+	4.89093i	0.0442319	+	0.218293i
$503$	2.14262	+	0.122520i	0.0955349	+	0.00546288i	0.104791	−	0.994494i	$-0.466583\pi$
$503$	2.14262	+	0.122520i	0.0955349	+	0.00546288i	−0.00925599	+	0.999957i	$0.502946\pi$
$504$	−6.16974	+	5.66253i	−0.274822	+	0.252229i
$505$	2.00774	+	13.9641i	0.0893432	+	0.621396i
$506$	0.993590	−	0.726290i	0.0441705	−	0.0322875i
$507$	1.66977	−	11.6135i	0.0741572	−	0.515775i
$508$	1.61363	+	2.35986i	0.0715932	+	0.104702i
$509$	−11.7894	−	30.2808i	−0.522555	−	1.34217i	−0.907818	−	0.419365i	$-0.862253\pi$
$509$	−11.7894	−	30.2808i	−0.522555	−	1.34217i	0.385262	−	0.922807i	$-0.374111\pi$
$510$	1.71604	−	2.22540i	0.0759874	−	0.0985423i
$511$	−2.48677	+	7.65348i	−0.110008	+	0.338570i
$512$	9.18812	+	15.2368i	0.406061	+	0.673377i
$513$	4.96054	−	12.7410i	0.219013	−	0.562531i
$514$	−6.23925	+	1.45087i	−0.275201	+	0.0639953i
$515$	−5.07548	−	2.14491i	−0.223652	−	0.0945162i
$516$	−47.7119	−	30.6626i	−2.10040	−	1.34984i
$517$	10.1811	−	8.37432i	0.447763	−	0.368302i
$518$	−2.16300	+	1.39008i	−0.0950370	+	0.0610766i
$519$	30.1897	−	5.22453i	1.32518	−	0.229332i
$520$	0.349969	+	4.07461i	0.0153471	+	0.178684i
$521$	−3.07079	+	35.7525i	−0.134534	+	1.56635i	0.548620	+	0.836072i	$0.315154\pi$
$521$	−3.07079	+	35.7525i	−0.134534	+	1.56635i	−0.683153	+	0.730275i	$0.739392\pi$
$522$	−0.0185888	−	0.00321691i	−0.000813608	−	0.000140800i
$523$	−32.7003	+	13.8193i	−1.42988	+	0.604274i	−0.960390	−	0.278661i	$-0.910109\pi$
$523$	−32.7003	+	13.8193i	−1.42988	+	0.604274i	−0.469495	+	0.882935i	$0.655564\pi$
$524$	20.5219	−	14.9100i	0.896503	−	0.651348i
$525$	−3.31057	+	1.86957i	−0.144485	+	0.0815945i
$526$	−0.164635	−	5.76297i	−0.00717842	−	0.251278i
$527$	−29.1807	+	8.56821i	−1.27113	+	0.373237i
$528$	−7.40490	+	37.0961i	−0.322257	+	1.61440i
$529$	20.0226	+	5.87917i	0.870549	+	0.255616i
$530$	−0.450733	+	1.71477i	−0.0195786	+	0.0744847i
$531$	−17.3391	+	85.5716i	−0.752451	+	3.71349i
$532$	−1.19659	−	2.26780i	−0.0518789	−	0.0983214i
$533$	1.34408	−	47.0488i	0.0582184	−	2.03791i
$534$	−0.592402	−	2.25373i	−0.0256357	−	0.0975284i
$535$	−15.5153	+	0.887195i	−0.670783	+	0.0383568i
$536$	−1.18506	+	1.21940i	−0.0511868	+	0.0526700i
$537$	12.0087	−	5.90429i	0.518214	−	0.254789i
$538$	−0.430759	+	0.943230i	−0.0185713	+	0.0406655i
$539$	12.0064	−	13.9374i	0.517151	−	0.600327i
$540$	10.0034	+	21.9043i	0.430476	+	0.942611i
$541$	−23.3942	−	19.1293i	−1.00580	−	0.822435i	−0.0216440	−	0.999766i	$-0.506890\pi$
$541$	−23.3942	−	19.1293i	−1.00580	−	0.822435i	−0.984151	+	0.177331i	$0.943254\pi$
$542$	−1.88970	+	3.58138i	−0.0811697	+	0.153834i
$543$	−43.5994	−	24.6217i	−1.87103	−	1.05662i
$544$	−10.1698	+	1.16687i	−0.436026	+	0.0500293i
$545$	−15.1520	+	1.73853i	−0.649042	+	0.0744706i
$546$	3.44029	+	1.94282i	0.147231	+	0.0831450i
$547$	−6.98266	+	13.2336i	−0.298557	+	0.565829i	−0.987241	−	0.159233i	$-0.949098\pi$
$547$	−6.98266	+	13.2336i	−0.298557	+	0.565829i	0.688684	+	0.725062i	$0.258189\pi$
$548$	14.1882	+	11.6017i	0.606092	+	0.495599i
$549$	−24.1444	−	52.8688i	−1.03046	−	2.25638i
$550$	0.347922	−	0.767718i	0.0148355	−	0.0327356i
$551$	0.00487915	−	0.0106839i	0.000207859	−	0.000455147i
$552$	−4.13290	+	2.03201i	−0.175908	+	0.0864880i
$553$	−7.27688	+	7.48774i	−0.309445	+	0.318411i
$554$	3.70459	−	0.211836i	0.157393	−	0.00900006i
$555$	6.72786	+	25.5954i	0.285582	+	1.08646i
$556$	0.327101	−	11.4500i	0.0138722	−	0.485589i
$557$	2.15461	+	4.08344i	0.0912938	+	0.173021i	0.925839	−	0.377919i	$-0.123360\pi$
$557$	2.15461	+	4.08344i	0.0912938	+	0.173021i	−0.834545	+	0.550940i	$0.814269\pi$
$558$	−3.04026	+	15.0043i	−0.128705	+	0.635182i
$559$	−9.65935	+	36.7480i	−0.408547	+	1.55427i
$560$	4.18361	+	1.22842i	0.176790	+	0.0519102i
$561$	−29.7326	−	21.4708i	−1.25531	−	0.906497i
$562$	−0.643158	+	0.188848i	−0.0271300	+	0.00796609i
$563$	−0.927587	−	32.4698i	−0.0390931	−	1.36844i	−0.748264	−	0.663401i	$-0.769112\pi$
$563$	−0.927587	−	32.4698i	−0.0390931	−	1.36844i	0.709171	−	0.705037i	$-0.249069\pi$
$564$	−21.1243	+	11.9294i	−0.889493	+	0.502320i
$565$	−7.67050	+	5.57294i	−0.322700	+	0.234455i
$566$	−3.25251	+	1.37452i	−0.136713	+	0.0577755i
$567$	21.8597	+	3.78297i	0.918022	+	0.158870i
$568$	−0.154307	+	1.79656i	−0.00647456	+	0.0753819i
$569$	−2.22758	−	25.9352i	−0.0933850	−	1.08726i	−0.881643	−	0.471917i	$-0.843562\pi$
$569$	−2.22758	−	25.9352i	−0.0933850	−	1.08726i	0.788258	−	0.615345i	$-0.210983\pi$
$570$	0.867824	−	0.150183i	0.0363491	−	0.00629047i
$571$	29.1064	−	18.7056i	1.21807	−	0.782803i	0.236076	−	0.971735i	$-0.424139\pi$
$571$	29.1064	−	18.7056i	1.21807	−	0.782803i	0.981990	+	0.188931i	$0.0605023\pi$
$572$	26.0680	−	3.06752i	1.08996	−	0.128260i
$573$	10.7097	+	6.88269i	0.447403	+	0.287529i
$574$	3.24855	+	1.37285i	0.135592	+	0.0573016i
$575$	−1.42222	+	0.330723i	−0.0593106	+	0.0137921i
$576$	16.3571	−	42.0128i	0.681545	−	1.75053i
$577$	1.78484	+	2.95983i	0.0743039	+	0.123219i	0.891282	−	0.453450i	$-0.149807\pi$
$577$	1.78484	+	2.95983i	0.0743039	+	0.123219i	−0.816978	+	0.576669i	$0.804352\pi$
$578$	−0.369518	+	1.13726i	−0.0153699	+	0.0473037i
$579$	−6.03782	+	7.82998i	−0.250923	+	0.325403i
$580$	0.00750499	+	0.0192764i	0.000311628	+	0.000800409i
$581$	−4.49776	−	6.57776i	−0.186598	−	0.272891i
$582$	−0.392564	+	2.73034i	−0.0162723	+	0.113176i
$583$	22.5526	+	5.17559i	0.934032	+	0.214351i
$584$	0.950077	+	6.60793i	0.0393145	+	0.273438i
$585$	20.9233	−	19.2033i	0.865073	−	0.793957i
$586$	4.46905	+	0.255549i	0.184615	+	0.0105567i
$587$	3.03387	+	14.9727i	0.125221	+	0.617990i	0.992709	+	0.120533i	$0.0384603\pi$
$587$	3.03387	+	14.9727i	0.125221	+	0.617990i	−0.867488	+	0.497458i	$0.834267\pi$
$588$	−26.2075	+	21.4297i	−1.08078	+	0.883748i
$589$	−8.55346	−	4.20545i	−0.352439	−	0.173283i
$590$	−3.00900	+	1.07361i	−0.123879	+	0.0441998i
$591$	39.5582	+	51.3000i	1.62721	+	2.11020i
$592$	15.6730	−	25.9908i	0.644157	−	1.06821i
$593$	12.3043	+	14.1999i	0.505277	+	0.583120i	0.949883	−	0.312606i	$-0.101202\pi$
$593$	12.3043	+	14.1999i	0.505277	+	0.583120i	−0.444606	+	0.895726i	$0.646656\pi$
$594$	−9.39763	+	4.65434i	−0.385590	+	0.190970i
$595$	−2.76828	+	3.19477i	−0.113489	+	0.130973i
$596$	6.69049	+	20.5912i	0.274053	+	0.843448i
$597$	28.4064	+	10.1354i	1.16260	+	0.414813i
$598$	1.05752	+	1.08816i	0.0432451	+	0.0444982i
$599$	−18.8277	−	17.2799i	−0.769280	−	0.706038i	0.192066	−	0.981382i	$-0.438481\pi$
$599$	−18.8277	−	17.2799i	−0.769280	−	0.706038i	−0.961346	+	0.275344i	$0.911208\pi$
$600$	−1.78028	+	2.60357i	−0.0726795	+	0.106290i
$601$	−9.72148	−	2.26063i	−0.396548	−	0.0922132i	0.0234805	−	0.999724i	$-0.492525\pi$
$601$	−9.72148	−	2.26063i	−0.396548	−	0.0922132i	−0.420028	+	0.907511i	$0.637980\pi$
$602$	−2.30327	−	1.67342i	−0.0938742	−	0.0682036i
$603$	11.7311	+	1.34602i	0.477729	+	0.0548143i
$604$	11.7324			0.477383
$605$	−10.1570	−	4.22323i	−0.412940	−	0.171699i
$606$	11.3066			0.459301
$607$	−19.5528	−	2.24348i	−0.793625	−	0.0910600i	−0.292309	−	0.956324i	$-0.594423\pi$
$607$	−19.5528	−	2.24348i	−0.793625	−	0.0910600i	−0.501316	+	0.865264i	$0.667151\pi$
$608$	−2.59545	−	1.88571i	−0.105259	−	0.0764755i
$609$	0.0395799	+	0.00920392i	0.00160386	+	0.000372962i
$610$	1.20041	−	1.75555i	0.0486032	−	0.0710799i
$611$	11.9742	+	10.9898i	0.484425	+	0.444601i
$612$	32.8487	+	33.8006i	1.32783	+	1.36631i
$613$	37.9966	+	13.5572i	1.53467	+	0.547569i	0.962197	−	0.272356i	$-0.0878028\pi$
$613$	37.9966	+	13.5572i	1.53467	+	0.547569i	0.572472	+	0.819924i	$0.305985\pi$
$614$	−2.47670	−	7.62251i	−0.0999516	−	0.307619i
$615$	23.7717	−	27.4340i	0.958566	−	1.10624i
$616$	−1.00543	+	3.87059i	−0.0405099	+	0.155951i
$617$	−0.593429	−	0.684854i	−0.0238906	−	0.0275712i	0.743679	−	0.668537i	$-0.233079\pi$
$617$	−0.593429	−	0.684854i	−0.0238906	−	0.0275712i	−0.767569	+	0.640966i	$0.778534\pi$
$618$	−2.28045	+	3.78169i	−0.0917330	+	0.152122i
$619$	−9.86827	−	12.7974i	−0.396639	−	0.514371i	0.550656	−	0.834732i	$-0.314378\pi$
$619$	−9.86827	−	12.7974i	−0.396639	−	0.514371i	−0.947296	+	0.320361i	$0.896196\pi$
$620$	15.8106	−	5.64119i	0.634967	−	0.226556i
$621$	16.3034	+	8.01582i	0.654231	+	0.321664i
$622$	−2.72451	+	2.22782i	−0.109243	+	0.0893273i
$623$	0.696135	+	3.43556i	0.0278901	+	0.137643i
$624$	−46.5620	−	2.66251i	−1.86397	−	0.106586i
$625$	−0.736741	+	0.676175i	−0.0294696	+	0.0270470i
$626$	0.547544	+	3.80825i	0.0218843	+	0.152208i
$627$	−2.31519	−	11.2583i	−0.0924597	−	0.449615i
$628$	0.0111367	−	0.0774575i	0.000444403	−	0.00309089i
$629$	16.6089	+	24.2897i	0.662239	+	0.968494i
$630$	0.772036	+	1.98296i	0.0307587	+	0.0790030i
$631$	−6.89760	+	8.94497i	−0.274589	+	0.356094i	−0.908922	−	0.416967i	$-0.863093\pi$
$631$	−6.89760	+	8.94497i	−0.274589	+	0.356094i	0.634333	+	0.773060i	$0.281275\pi$
$632$	−2.67664	+	8.23784i	−0.106471	+	0.327684i
$633$	−42.3323	−	70.2003i	−1.68256	−	2.79021i
$634$	−1.39952	+	3.59463i	−0.0555819	+	0.142761i
$635$	1.43871	−	0.334558i	0.0570935	−	0.0132765i
$636$	−39.2234	−	16.5760i	−1.55531	−	0.657280i
$637$	19.0798	+	12.2618i	0.755968	+	0.485831i
$638$	−0.00828796	+	0.00353084i	−0.000328123	+	0.000139787i
$639$	10.5341	−	6.76986i	0.416723	−	0.267812i
$640$	7.37881	−	1.27695i	0.291673	−	0.0504760i
$641$	−1.46135	−	17.0142i	−0.0577200	−	0.672022i	−0.966822	−	0.255449i	$-0.917777\pi$
$641$	−1.46135	−	17.0142i	−0.0577200	−	0.672022i	0.909103	−	0.416572i	$-0.136769\pi$
$642$	−1.06584	+	12.4093i	−0.0420653	+	0.489757i
$643$	−21.0044	−	3.63496i	−0.828334	−	0.143349i	−0.259440	−	0.965759i	$-0.583538\pi$
$643$	−21.0044	−	3.63496i	−0.828334	−	0.143349i	−0.568895	+	0.822410i	$0.692629\pi$
$644$	3.13831	−	1.32626i	0.123667	−	0.0522621i
$645$	−23.7074	+	17.2244i	−0.933477	+	0.678211i
$646$	0.852670	−	0.481525i	0.0335479	−	0.0189454i
$647$	0.806986	+	28.2482i	0.0317259	+	1.11055i	0.847039	+	0.531531i	$0.178383\pi$
$647$	0.806986	+	28.2482i	0.0317259	+	1.11055i	−0.815313	+	0.579020i	$0.803435\pi$
$648$	17.6583	−	5.18496i	0.693685	−	0.203684i
$649$	15.2393	+	38.8090i	0.598194	+	1.52339i
$650$	0.997088	+	0.292772i	0.0391090	+	0.0114834i
$651$	8.38324	−	31.8932i	0.328565	−	1.24999i
$652$	−8.43690	+	41.6377i	−0.330414	+	1.63066i
$653$	−16.1983	−	30.6992i	−0.633889	−	1.20135i	−0.966105	−	0.258150i	$-0.916887\pi$
$653$	−16.1983	−	30.6992i	−0.633889	−	1.20135i	0.332215	−	0.943204i	$-0.392204\pi$
$654$	−0.349049	+	12.2183i	−0.0136489	+	0.477773i
$655$	−3.33191	−	12.6759i	−0.130188	−	0.495288i
$656$	−41.5624	+	2.37662i	−1.62274	+	0.0927915i
$657$	32.3099	−	33.2461i	1.26053	−	1.29705i
$658$	−1.09286	+	0.537321i	−0.0426040	+	0.0209470i
$659$	−6.87820	+	15.0612i	−0.267937	+	0.586700i	−0.995000	−	0.0998703i	$-0.968157\pi$
$659$	−6.87820	+	15.0612i	−0.267937	+	0.586700i	0.727064	+	0.686570i	$0.240884\pi$
$660$	17.0613	+	10.8950i	0.664110	+	0.424086i
$661$	−3.10161	−	6.79157i	−0.120639	−	0.264162i	0.839672	−	0.543093i	$-0.182747\pi$
$661$	−3.10161	−	6.79157i	−0.120639	−	0.264162i	−0.960311	+	0.278932i	$0.910020\pi$
$662$	4.00066	+	3.27133i	0.155490	+	0.127144i
$663$	21.1009	−	39.9906i	0.819490	−	1.55311i
$664$	−5.75603	−	3.25058i	−0.223377	−	0.126147i
$665$	−1.31621	+	0.151021i	−0.0510404	+	0.00585634i
$666$	14.7157	−	1.68846i	0.570220	−	0.0654266i
$667$	0.0135892	+	0.00767416i	0.000526175	+	0.000297145i
$668$	−21.3138	+	40.3942i	−0.824657	+	1.56290i
$669$	−64.2354	−	52.5250i	−2.48349	−	2.03074i
$670$	0.179489	+	0.393027i	0.00693428	+	0.0151839i
$671$	−23.3922	−	14.9377i	−0.903046	−	0.576665i
$672$	4.61091	−	10.0965i	0.177870	−	0.389480i
$673$	20.7723	−	10.2130i	0.800712	−	0.393684i	0.00547714	−	0.999985i	$-0.498257\pi$
$673$	20.7723	−	10.2130i	0.800712	−	0.393684i	0.795235	+	0.606301i	$0.207347\pi$
$674$	0.506037	−	0.520700i	0.0194918	−	0.0200566i
$675$	12.4217	−	0.710298i	0.478111	−	0.0273394i
$676$	1.83054	+	6.96410i	0.0704054	+	0.267850i
$677$	−0.458358	+	16.0446i	−0.0176161	+	0.616645i	0.942045	+	0.335486i	$0.108901\pi$
$677$	−0.458358	+	16.0446i	−0.0176161	+	0.616645i	−0.959661	+	0.281159i	$0.909281\pi$
$678$	3.54609	+	6.72059i	0.136187	+	0.258103i
$679$	0.824033	−	4.06676i	0.0316235	−	0.156068i
$680$	−0.891506	+	3.39164i	−0.0341877	+	0.130063i
$681$	−0.523846	−	0.153815i	−0.0200738	−	0.00589420i
$682$	2.67208	+	6.80485i	0.102319	+	0.260571i
$683$	34.3536	−	10.0871i	1.31450	−	0.385973i	0.451997	−	0.892019i	$-0.350712\pi$
$683$	34.3536	−	10.0871i	1.31450	−	0.385973i	0.862506	+	0.506046i	$0.168893\pi$
$684$	0.421819	+	14.7656i	0.0161287	+	0.564577i
$685$	8.24566	−	4.65654i	0.315051	−	0.177917i
$686$	−3.10994	+	2.25950i	−0.118738	+	0.0862681i
$687$	−56.6255	+	23.9301i	−2.16040	+	0.912991i
$688$	33.1144	+	5.73067i	1.26247	+	0.218480i
$689$	−2.44127	+	28.4232i	−0.0930050	+	1.08284i
$690$	0.100144	+	1.16596i	0.00381242	+	0.0443872i
$691$	50.3879	−	8.71996i	1.91684	−	0.331723i	0.918827	−	0.394659i	$-0.129137\pi$
$691$	50.3879	−	8.71996i	1.91684	−	0.331723i	0.998018	+	0.0629364i	$0.0200465\pi$
$692$	−15.8183	+	10.1658i	−0.601320	+	0.386445i
$693$	25.5490	−	10.8844i	0.970528	−	0.413464i
$694$	−2.44591	−	1.57189i	−0.0928456	−	0.0596682i
$695$	−5.45164	−	2.30388i	−0.206793	−	0.0873913i
$696$	0.0328345	−	0.00763534i	0.00124459	−	0.000289417i
$697$	14.6433	−	37.6109i	0.554653	−	1.42461i
$698$	−3.61778	−	5.99941i	−0.136935	−	0.227081i
$699$	−7.58914	+	23.3570i	−0.287048	+	0.883441i
$700$	1.42484	−	1.84777i	0.0538540	−	0.0698391i
$701$	9.25359	+	23.7677i	0.349503	+	0.897692i	0.991396	+	0.130897i	$0.0417858\pi$
$701$	9.25359	+	23.7677i	0.349503	+	0.897692i	−0.641893	+	0.766795i	$0.721851\pi$
$702$	−7.29797	−	10.6729i	−0.275444	−	0.402824i
$703$	−1.31242	+	9.12810i	−0.0494989	+	0.344273i
$704$	−4.33663	−	21.0882i	−0.163443	−	0.794793i
$705$	1.78389	+	12.4072i	0.0671850	+	0.467282i
$706$	3.66259	−	3.36149i	0.137843	−	0.126512i
$707$	−16.9805	−	0.970980i	−0.638617	−	0.0365175i
$708$	−15.2376	−	75.2006i	−0.572665	−	2.82621i
$709$	15.5155	−	12.6870i	0.582697	−	0.476469i	−0.295123	−	0.955459i	$-0.595361\pi$
$709$	15.5155	−	12.6870i	0.582697	−	0.476469i	0.877820	+	0.478990i	$0.158997\pi$
$710$	0.411180	+	0.202164i	0.0154313	+	0.00758707i
$711$	56.6526	−	20.2136i	2.12464	−	0.758069i
$712$	1.77575	+	2.30283i	0.0665490	+	0.0863023i
$713$	6.54003	−	10.8454i	0.244926	−	0.406164i
$714$	2.21864	+	2.56045i	0.0830306	+	0.0958224i
$715$	3.40969	−	13.1263i	0.127515	−	0.490895i
$716$	−5.37805	+	6.20661i	−0.200987	+	0.231952i
$717$	−9.38442	−	28.8823i	−0.350468	−	1.07863i
$718$	9.02489	+	3.22008i	0.336806	+	0.120172i
$719$	1.33769	+	1.37645i	0.0498874	+	0.0513329i	0.741616	−	0.670825i	$-0.234060\pi$
$719$	1.33769	+	1.37645i	0.0498874	+	0.0513329i	−0.691729	+	0.722158i	$0.743151\pi$
$720$	−18.5061	−	16.9847i	−0.689680	−	0.632982i
$721$	3.74957	−	5.48357i	0.139641	−	0.204219i
$722$	−4.40419	−	1.02415i	−0.163907	−	0.0381149i
$723$	−6.89025	−	5.00606i	−0.256251	−	0.186177i
$724$	30.5291	+	3.50289i	1.13461	+	0.130184i
$725$	0.0106881			0.000396945
$726$	−4.50874	+	7.57577i	−0.167335	+	0.281163i
$727$	−44.4786			−1.64962			−0.824810	−	0.565411i	$-0.808718\pi$
$727$	−44.4786			−1.64962			−0.824810	+	0.565411i	$0.808718\pi$
$728$	−4.89829	−	0.562027i	−0.181543	−	0.0208301i
$729$	−8.16400	−	5.93149i	−0.302370	−	0.219685i
$730$	1.65227	+	0.384220i	0.0611534	+	0.0142206i
$731$	−18.3906	+	26.8954i	−0.680202	+	0.994763i
$732$	37.6305	+	34.5370i	1.39086	+	1.27652i
$733$	−20.6874	−	21.2869i	−0.764108	−	0.786249i	0.217722	−	0.976011i	$-0.430137\pi$
$733$	−20.6874	−	21.2869i	−0.764108	−	0.786249i	−0.981830	+	0.189762i	$0.939228\pi$
$734$	−6.31790	−	2.25422i	−0.233198	−	0.0832048i
$735$	5.40522	+	16.6355i	0.199374	+	0.613611i
$736$	2.79154	−	3.22161i	0.102897	−	0.118750i
$737$	5.05301	−	2.50259i	0.186130	−	0.0921840i
$738$	−13.3048	−	15.3546i	−0.489758	−	0.565211i
$739$	−15.2897	+	25.3551i	−0.562440	+	0.932702i	0.437007	+	0.899458i	$0.356038\pi$
$739$	−15.2897	+	25.3551i	−0.562440	+	0.932702i	−0.999447	+	0.0332439i	$0.989416\pi$
$740$	−9.91803	−	12.8619i	−0.364594	−	0.472814i
$741$	13.3467	−	4.76211i	0.490305	−	0.174940i
$742$	−1.91823	−	0.943129i	−0.0704203	−	0.0346233i
$743$	−21.6332	+	17.6894i	−0.793647	+	0.648962i	−0.940346	−	0.340219i	$-0.889499\pi$
$743$	−21.6332	+	17.6894i	−0.793647	+	0.648962i	0.146699	+	0.989181i	$0.453135\pi$
$744$	−5.43275	−	26.8117i	−0.199174	−	0.982963i
$745$	11.1684	+	0.638634i	0.409180	+	0.0233978i
$746$	−2.27231	+	2.08551i	−0.0831952	+	0.0763559i
$747$	6.53303	+	45.4383i	0.239031	+	1.66250i
$748$	21.9374	+	5.03441i	0.802110	+	0.184076i
$749$	2.66637	−	18.5450i	0.0974271	−	0.677620i
$750$	0.452373	+	0.661575i	0.0165183	+	0.0241573i
$751$	13.4355	+	34.5089i	0.490269	+	1.25925i	0.932117	+	0.362156i	$0.117959\pi$
$751$	13.4355	+	34.5089i	0.490269	+	1.25925i	−0.441848	+	0.897090i	$0.645677\pi$
$752$	8.77821	−	11.3838i	0.320108	−	0.415124i
$753$	−19.1361	+	58.8948i	−0.697357	+	2.14624i
$754$	−0.00573555	−	0.00951135i	−0.000208877	−	0.000346383i
$755$	2.19932	−	5.64890i	0.0800414	−	0.205585i
$756$	−28.2768	+	6.57549i	−1.02842	+	0.239148i
$757$	−6.24274	−	2.63821i	−0.226896	−	0.0958872i	0.272858	−	0.962054i	$-0.412031\pi$
$757$	−6.24274	−	2.63821i	−0.226896	−	0.0958872i	−0.499755	+	0.866167i	$0.666576\pi$
$758$	−4.75408	−	3.05526i	−0.172676	−	0.110972i
$759$	15.1678	−	1.78485i	0.550555	−	0.0647858i
$760$	−0.924587	+	0.594196i	−0.0335383	+	0.0215537i
$761$	22.1626	−	3.83540i	0.803395	−	0.139033i	0.245989	−	0.969273i	$-0.420887\pi$
$761$	22.1626	−	3.83540i	0.803395	−	0.139033i	0.557407	+	0.830240i	$0.311796\pi$
$762$	−0.101306	−	1.17948i	−0.00366991	−	0.0427280i
$763$	1.57348	−	18.3197i	0.0569637	−	0.663216i
$764$	−7.69851	−	1.33228i	−0.278522	−	0.0482002i
$765$	22.4320	−	9.47986i	0.811032	−	0.342745i
$766$	1.77328	−	1.28837i	0.0640713	−	0.0465505i
$767$	−44.7601	+	25.2772i	−1.61619	+	0.912707i
$768$	0.997779	+	34.9268i	0.0360043	+	1.26031i
$769$	7.67741	−	2.25429i	0.276854	−	0.0812918i	−0.140358	−	0.990101i	$-0.544825\pi$
$769$	7.67741	−	2.25429i	0.276854	−	0.0812918i	0.417212	+	0.908809i	$0.363007\pi$
$770$	0.823824	+	0.594907i	0.0296886	+	0.0214390i
$771$	−76.2695	−	22.3948i	−2.74678	−	0.806527i
$772$	1.54263	−	5.86876i	0.0555204	−	0.211221i
$773$

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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.s (of order \(55\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(0.252480 + 0.0289694i) q^{2} +(2.55133 + 1.85365i) q^{3} +(-1.88512 - 0.438365i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.590461 + 0.541921i) q^{6} +(-0.840226 - 0.864572i) q^{7} +(-0.941970 - 0.336094i) q^{8} +(2.14622 + 6.60538i) q^{9} +O(q^{10})\)	\(q+(0.252480 + 0.0289694i) q^{2} +(2.55133 + 1.85365i) q^{3} +(-1.88512 - 0.438365i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.590461 + 0.541921i) q^{6} +(-0.840226 - 0.864572i) q^{7} +(-0.941970 - 0.336094i) q^{8} +(2.14622 + 6.60538i) q^{9} +(-0.166424 + 0.192064i) q^{10} +(2.57360 + 2.09202i) q^{11} +(-3.99698 - 4.61276i) q^{12} +(-2.11158 + 3.50167i) q^{13} +(-0.187094 - 0.242628i) q^{14} +(-2.97022 + 1.05977i) q^{15} +(3.24558 + 1.59575i) q^{16} +(-2.71444 + 2.21958i) q^{17} +(0.350524 + 1.72990i) q^{18} +(-1.09712 - 0.0627356i) q^{19} +(1.42590 - 1.30868i) q^{20} +(-0.541080 - 3.76330i) q^{21} +(0.589180 + 0.602750i) q^{22} +(0.207803 - 1.44530i) q^{23} +(-1.78028 - 2.60357i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-0.634575 + 0.822931i) q^{26} +(-3.84479 + 11.8330i) q^{27} +(1.20493 + 1.99815i) q^{28} +(-0.00387771 + 0.00995983i) q^{29} +(-0.780622 + 0.181526i) q^{30} +(7.98936 + 3.37633i) q^{31} +(2.45595 + 1.57834i) q^{32} +(2.68824 + 10.1080i) q^{33} +(-0.749642 + 0.481766i) q^{34} +(1.18794 - 0.205581i) q^{35} +(-1.15030 - 13.3927i) q^{36} +(0.718138 - 8.36112i) q^{37} +(-0.275184 - 0.0476224i) q^{38} +(-11.8782 + 5.01978i) q^{39} +(0.809125 - 0.587864i) q^{40} +(-10.0229 + 5.66019i) q^{41} +(-0.0275916 - 0.965833i) q^{42} +(8.91576 - 2.61790i) q^{43} +(-3.93448 - 5.07189i) q^{44} +(-6.66397 - 1.95672i) q^{45} +(0.0943358 - 0.358891i) q^{46} +(0.789344 - 3.89556i) q^{47} +(5.32260 + 10.0875i) q^{48} +(0.158387 - 5.54427i) q^{49} +(-0.0646062 - 0.245788i) q^{50} +(-11.0398 + 0.631276i) q^{51} +(5.51559 - 5.67541i) q^{52} +(6.26080 - 3.07823i) q^{53} +(-1.31353 + 2.87623i) q^{54} +(-3.17956 + 0.943611i) q^{55} +(0.500890 + 1.09680i) q^{56} +(-2.68282 - 2.19373i) q^{57} +(-0.00126758 + 0.00240233i) q^{58} +(10.9463 + 6.18166i) q^{59} +(6.06377 - 0.695753i) q^{60} +(-8.31385 + 0.953925i) q^{61} +(1.91934 + 1.08390i) q^{62} +(3.90752 - 7.40557i) q^{63} +(-5.02526 - 4.10913i) q^{64} +(-1.69866 - 3.71955i) q^{65} +(0.385904 + 2.62995i) q^{66} +(0.706270 - 1.54652i) q^{67} +(6.09002 - 2.99426i) q^{68} +(3.20926 - 3.30225i) q^{69} +(0.305887 - 0.0174913i) q^{70} +(-0.458338 - 1.74370i) q^{71} +(0.198357 - 6.94340i) q^{72} +(-3.11500 - 5.90358i) q^{73} +(0.423532 - 2.09021i) q^{74} +(0.801708 - 3.05001i) q^{75} +(2.04070 + 0.599203i) q^{76} +(-0.353706 - 3.98284i) q^{77} +(-3.14444 + 0.923290i) q^{78} +(-0.247313 - 8.65709i) q^{79} +(-3.14919 + 1.77843i) q^{80} +(-14.8870 + 10.8160i) q^{81} +(-2.69456 + 1.13873i) q^{82} +(6.51277 + 1.12708i) q^{83} +(-0.629698 + 7.33144i) q^{84} +(-0.300059 - 3.49352i) q^{85} +(2.32689 - 0.402685i) q^{86} +(-0.0283554 + 0.0182229i) q^{87} +(-1.72114 - 2.83560i) q^{88} +(-2.44602 - 1.57196i) q^{89} +(-1.62584 - 0.687084i) q^{90} +(4.80165 - 1.11658i) q^{91} +(-1.02530 + 2.63347i) q^{92} +(14.1250 + 23.4236i) q^{93} +(0.312146 - 0.960686i) q^{94} +(0.671048 - 0.870230i) q^{95} +(3.34024 + 8.57935i) q^{96} +(1.94269 + 2.84110i) q^{97} +(0.200604 - 1.39523i) q^{98} +(-8.29508 + 21.4896i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \)	\( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Introduction

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