LMFDB - Embedded newform 576.2.bl.a.11.11

Newspace parameters

Level:	$ N $	$=$	$ 576 = 2^{6} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	576.bl (of order $48$, degree $16$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$4.59938315643$
Analytic rank:	$0$
Dimension:	$1504$
Relative dimension:	$94$ over $\Q(\zeta_{48})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label			11.11
Character	$\chi$	$=$	576.11
Dual form			576.2.bl.a.419.11

$q$-expansion

$f(q)$	$=$	$q+(-1.34003 + 0.452023i) q^{2} +(0.961303 + 1.44080i) q^{3} +(1.59135 - 1.21145i) q^{4} +(-1.07061 - 0.527968i) q^{5} +(-1.93945 - 1.49618i) q^{6} +(-2.72460 - 3.55077i) q^{7} +(-1.58485 + 2.34270i) q^{8} +(-1.15179 + 2.77009i) q^{9} +O(q^{10})$	\(q+(-1.34003 + 0.452023i) q^{2} +(0.961303 + 1.44080i) q^{3} +(1.59135 - 1.21145i) q^{4} +(-1.07061 - 0.527968i) q^{5} +(-1.93945 - 1.49618i) q^{6} +(-2.72460 - 3.55077i) q^{7} +(-1.58485 + 2.34270i) q^{8} +(-1.15179 + 2.77009i) q^{9} +(1.67331 + 0.223550i) q^{10} +(1.76597 + 1.54872i) q^{11} +(3.27522 + 1.12824i) q^{12} +(-0.342438 - 0.0224446i) q^{13} +(5.25607 + 3.52654i) q^{14} +(-0.268489 - 2.05008i) q^{15} +(1.06479 - 3.85567i) q^{16} +(-4.44644 - 4.44644i) q^{17} +(0.291292 - 4.23263i) q^{18} +(2.08516 - 3.12066i) q^{19} +(-2.34333 + 0.456811i) q^{20} +(2.49677 - 7.33896i) q^{21} +(-3.06651 - 1.27706i) q^{22} +(-1.36200 + 1.77499i) q^{23} +(-4.89888 - 0.0314027i) q^{24} +(-2.17634 - 2.83627i) q^{25} +(0.469022 - 0.124714i) q^{26} +(-5.09835 + 1.00339i) q^{27} +(-8.63736 - 2.34980i) q^{28} +(2.36656 - 6.97167i) q^{29} +(1.28646 + 2.62580i) q^{30} +(-3.16544 - 5.48271i) q^{31} +(0.316008 + 5.64802i) q^{32} +(-0.533751 + 4.03319i) q^{33} +(7.96824 + 3.94846i) q^{34} +(1.04230 + 5.24000i) q^{35} +(1.52291 + 5.80351i) q^{36} +(2.06941 - 1.38274i) q^{37} +(-1.38356 + 5.12431i) q^{38} +(-0.296849 - 0.514960i) q^{39} +(2.93364 - 1.67138i) q^{40} +(9.02935 + 6.92847i) q^{41} +(-0.0283607 + 10.9630i) q^{42} +(-6.56813 - 5.76009i) q^{43} +(4.68647 + 0.325166i) q^{44} +(2.69564 - 2.35758i) q^{45} +(1.02278 - 2.99420i) q^{46} +(-2.15582 - 8.04561i) q^{47} +(6.57883 - 2.17233i) q^{48} +(-3.37277 + 12.5874i) q^{49} +(4.19842 + 2.81692i) q^{50} +(2.13204 - 10.6808i) q^{51} +(-0.572129 + 0.379129i) q^{52} +(-0.173934 - 0.0345977i) q^{53} +(6.37838 - 3.64915i) q^{54} +(-1.07300 - 2.59045i) q^{55} +(12.6365 - 0.755486i) q^{56} +(6.50070 + 0.00439037i) q^{57} +(-0.0199033 + 10.4120i) q^{58} +(-5.42489 + 11.0006i) q^{59} +(-2.91082 - 2.93713i) q^{60} +(1.62496 - 4.78699i) q^{61} +(6.72009 + 5.91613i) q^{62} +(12.9741 - 3.45762i) q^{63} +(-2.97650 - 7.42566i) q^{64} +(0.354769 + 0.204826i) q^{65} +(-1.10785 - 5.64586i) q^{66} +(1.23450 - 1.08262i) q^{67} +(-12.4625 - 1.68921i) q^{68} +(-3.86670 - 0.256060i) q^{69} +(-3.76532 - 6.55061i) q^{70} +(-12.5649 - 5.20455i) q^{71} +(-4.66406 - 7.08848i) q^{72} +(6.08847 - 2.52193i) q^{73} +(-2.14804 + 2.78833i) q^{74} +(1.99436 - 5.86218i) q^{75} +(-0.462300 - 7.49211i) q^{76} +(0.687563 - 10.4902i) q^{77} +(0.630559 + 0.555878i) q^{78} +(2.01962 + 7.53733i) q^{79} +(-3.17565 + 3.56576i) q^{80} +(-6.34675 - 6.38113i) q^{81} +(-15.2314 - 5.20286i) q^{82} +(0.223784 - 0.110358i) q^{83} +(-4.91753 - 14.7036i) q^{84} +(2.41284 + 7.10800i) q^{85} +(11.4052 + 4.74974i) q^{86} +(12.3198 - 3.29215i) q^{87} +(-6.42698 + 1.68266i) q^{88} +(-0.644241 - 0.266853i) q^{89} +(-2.54656 + 4.37772i) q^{90} +(0.853311 + 1.27707i) q^{91} +(-0.0171073 + 4.47463i) q^{92} +(4.85652 - 9.83130i) q^{93} +(6.52566 + 9.80687i) q^{94} +(-3.88001 + 2.24012i) q^{95} +(-7.83387 + 5.88476i) q^{96} +(10.0665 + 5.81191i) q^{97} +(-1.17017 - 18.3920i) q^{98} +(-6.32411 + 3.10809i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) $ 1504 * q - 24 * q^2 - 16 * q^3 - 8 * q^4 - 24 * q^5 - 16 * q^6 - 8 * q^7 - 16 * q^9	$ 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) $ 1504 * q - 24 * q^2 - 16 * q^3 - 8 * q^4 - 24 * q^5 - 16 * q^6 - 8 * q^7 - 16 * q^9 - 32 * q^10 - 24 * q^11 - 16 * q^12 - 8 * q^13 - 24 * q^14 - 16 * q^15 - 8 * q^16 - 16 * q^18 - 32 * q^19 - 24 * q^20 - 16 * q^21 - 8 * q^22 - 24 * q^23 - 96 * q^24 - 8 * q^25 - 16 * q^27 - 32 * q^28 - 24 * q^29 + 64 * q^30 - 16 * q^31 - 24 * q^32 - 8 * q^34 + 64 * q^36 - 32 * q^37 - 24 * q^38 - 16 * q^39 - 8 * q^40 - 24 * q^41 - 96 * q^42 - 8 * q^43 - 16 * q^45 - 32 * q^46 - 24 * q^47 - 16 * q^48 - 8 * q^49 - 24 * q^50 - 16 * q^51 - 8 * q^52 - 16 * q^54 - 32 * q^55 - 24 * q^56 - 16 * q^57 + 64 * q^58 - 24 * q^59 - 16 * q^60 - 8 * q^61 - 32 * q^64 - 48 * q^65 - 8 * q^67 - 24 * q^68 - 16 * q^69 - 8 * q^70 - 16 * q^72 - 32 * q^73 - 24 * q^74 - 16 * q^75 - 56 * q^76 - 24 * q^77 - 40 * q^78 - 8 * q^79 - 16 * q^81 - 32 * q^82 - 24 * q^83 - 128 * q^84 - 8 * q^85 - 24 * q^86 - 16 * q^87 - 8 * q^88 - 160 * q^90 - 32 * q^91 - 480 * q^92 + 8 * q^93 - 8 * q^94 - 48 * q^95 - 152 * q^96 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/576\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$325$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−1.34003	+	0.452023i	−0.947543	+	0.319629i
$2$	−1.34003	+	0.452023i	−0.947543	+	0.319629i
$3$	0.961303	+	1.44080i	0.555009	+	0.831845i
$3$	0.961303	+	1.44080i	0.555009	+	0.831845i
$4$	1.59135	−	1.21145i	0.795675	−	0.605724i
$5$	−1.07061	−	0.527968i	−0.478793	−	0.236115i	0.186845	−	0.982389i	$-0.440174\pi$
$5$	−1.07061	−	0.527968i	−0.478793	−	0.236115i	−0.665638	+	0.746275i	$0.731841\pi$
$6$	−1.93945	−	1.49618i	−0.791776	−	0.610812i
$7$	−2.72460	−	3.55077i	−1.02980	−	1.34206i	−0.938133	−	0.346274i	$-0.887447\pi$
$7$	−2.72460	−	3.55077i	−1.02980	−	1.34206i	−0.0916683	−	0.995790i	$-0.529220\pi$
$8$	−1.58485	+	2.34270i	−0.560329	+	0.828270i
$9$	−1.15179	+	2.77009i	−0.383931	+	0.923362i
$10$	1.67331	+	0.223550i	0.529146	+	0.0706927i
$11$	1.76597	+	1.54872i	0.532460	+	0.466955i	0.882854	−	0.469647i	$-0.155619\pi$
$11$	1.76597	+	1.54872i	0.532460	+	0.466955i	−0.350394	+	0.936602i	$0.613952\pi$
$12$	3.27522	+	1.12824i	0.945475	+	0.325696i
$13$	−0.342438	−	0.0224446i	−0.0949752	−	0.00622500i	0.0178414	−	0.999841i	$-0.494321\pi$
$13$	−0.342438	−	0.0224446i	−0.0949752	−	0.00622500i	−0.112817	+	0.993616i	$0.535987\pi$
$14$	5.25607	+	3.52654i	1.40474	+	0.942509i
$15$	−0.268489	−	2.05008i	−0.0693236	−	0.529327i
$16$	1.06479	−	3.85567i	0.266197	−	0.963919i
$17$	−4.44644	−	4.44644i	−1.07842	−	1.07842i	−0.996651	−	0.0817677i	$-0.973943\pi$
$17$	−4.44644	−	4.44644i	−1.07842	−	1.07842i	−0.0817677	−	0.996651i	$-0.526057\pi$
$18$	0.291292	−	4.23263i	0.0686581	−	0.997640i
$19$	2.08516	−	3.12066i	0.478368	−	0.715928i	−0.511285	−	0.859411i	$-0.670830\pi$
$19$	2.08516	−	3.12066i	0.478368	−	0.715928i	0.989653	+	0.143483i	$0.0458304\pi$
$20$	−2.34333	+	0.456811i	−0.523984	+	0.102146i
$21$	2.49677	−	7.33896i	0.544840	−	1.60149i
$22$	−3.06651	−	1.27706i	−0.653781	−	0.272270i
$23$	−1.36200	+	1.77499i	−0.283997	+	0.370112i	−0.913467	−	0.406913i	$-0.866605\pi$
$23$	−1.36200	+	1.77499i	−0.283997	+	0.370112i	0.629470	+	0.777025i	$0.283272\pi$
$24$	−4.89888	−	0.0314027i	−0.999979	−	0.00641005i
$25$	−2.17634	−	2.83627i	−0.435269	−	0.567253i
$26$	0.469022	−	0.124714i	0.0919828	−	0.0244583i
$27$	−5.09835	+	1.00339i	−0.981179	+	0.193103i
$28$	−8.63736	−	2.34980i	−1.63231	−	0.444071i
$29$	2.36656	−	6.97167i	0.439460	−	1.29461i	−0.471410	−	0.881914i	$-0.656255\pi$
$29$	2.36656	−	6.97167i	0.439460	−	1.29461i	0.910870	−	0.412693i	$-0.135412\pi$
$30$	1.28646	+	2.62580i	0.234875	+	0.479402i
$31$	−3.16544	−	5.48271i	−0.568530	−	0.984723i	−0.996712	−	0.0810304i	$-0.974179\pi$
$31$	−3.16544	−	5.48271i	−0.568530	−	0.984723i	0.428181	−	0.903693i	$-0.359154\pi$
$32$	0.316008	+	5.64802i	0.0558629	+	0.998438i
$33$	−0.533751	+	4.03319i	−0.0929141	+	0.702088i
$34$	7.96824	+	3.94846i	1.36654	+	0.677155i
$35$	1.04230	+	5.24000i	0.176181	+	0.885722i
$36$	1.52291	+	5.80351i	0.253818	+	0.967252i
$37$	2.06941	−	1.38274i	0.340209	−	0.227321i	−0.373715	−	0.927544i	$-0.621916\pi$
$37$	2.06941	−	1.38274i	0.340209	−	0.227321i	0.713924	+	0.700223i	$0.246916\pi$
$38$	−1.38356	+	5.12431i	−0.224443	+	0.831272i
$39$	−0.296849	−	0.514960i	−0.0475338	−	0.0824595i
$40$	2.93364	−	1.67138i	0.463849	−	0.264268i
$41$	9.02935	+	6.92847i	1.41015	+	1.08204i	0.984153	+	0.177319i	$0.0567424\pi$
$41$	9.02935	+	6.92847i	1.41015	+	1.08204i	0.425994	+	0.904726i	$0.359924\pi$
$42$	−0.0283607	+	10.9630i	−0.00437616	+	1.69163i
$43$	−6.56813	−	5.76009i	−1.00163	−	0.878406i	−0.00904506	−	0.999959i	$-0.502879\pi$
$43$	−6.56813	−	5.76009i	−1.00163	−	0.878406i	−0.992585	+	0.121553i	$0.961213\pi$
$44$	4.68647	+	0.325166i	0.706511	+	0.0490206i
$45$	2.69564	−	2.35758i	0.401843	−	0.351448i
$46$	1.02278	−	2.99420i	0.150801	−	0.441470i
$47$	−2.15582	−	8.04561i	−0.314458	−	1.17357i	−0.924493	−	0.381199i	$-0.875511\pi$
$47$	−2.15582	−	8.04561i	−0.314458	−	1.17357i	0.610035	−	0.792375i	$-0.291155\pi$
$48$	6.57883	−	2.17233i	0.949572	−	0.313548i
$49$	−3.37277	+	12.5874i	−0.481824	+	1.79819i
$50$	4.19842	+	2.81692i	0.593746	+	0.398372i
$51$	2.13204	−	10.6808i	0.298545	−	1.49561i
$52$	−0.572129	+	0.379129i	−0.0793400	+	0.0525757i
$53$	−0.173934	−	0.0345977i	−0.0238917	−	0.00475236i	0.183130	−	0.983089i	$-0.441377\pi$
$53$	−0.173934	−	0.0345977i	−0.0238917	−	0.00475236i	−0.207022	+	0.978336i	$0.566377\pi$
$54$	6.37838	−	3.64915i	0.867988	−	0.496586i
$55$	−1.07300	−	2.59045i	−0.144683	−	0.349297i
$56$	12.6365	−	0.755486i	1.68862	−	0.100956i
$57$	6.50070	+	0.00439037i	0.861039	+	0.000581519i
$58$	−0.0199033	+	10.4120i	−0.00261343	+	1.36716i
$59$	−5.42489	+	11.0006i	−0.706261	+	1.43216i	0.186882	+	0.982382i	$0.440162\pi$
$59$	−5.42489	+	11.0006i	−0.706261	+	1.43216i	−0.893143	+	0.449773i	$0.851505\pi$
$60$	−2.91082	−	2.93713i	−0.375785	−	0.379181i
$61$	1.62496	−	4.78699i	0.208055	−	0.612911i	−0.791942	−	0.610596i	$-0.790930\pi$
$61$	1.62496	−	4.78699i	0.208055	−	0.612911i	0.999997	−	0.00231462i	$-0.000736768\pi$
$62$	6.72009	+	5.91613i	0.853453	+	0.751349i
$63$	12.9741	−	3.45762i	1.63458	−	0.435620i
$64$	−2.97650	−	7.42566i	−0.372062	−	0.928208i
$65$	0.354769	+	0.204826i	0.0440037	+	0.0254055i
$66$	−1.10785	−	5.64586i	−0.136368	−	0.694957i
$67$	1.23450	−	1.08262i	0.150818	−	0.132264i	−0.580612	−	0.814180i	$-0.697187\pi$
$67$	1.23450	−	1.08262i	0.150818	−	0.132264i	0.731430	+	0.681917i	$0.238853\pi$
$68$	−12.4625	−	1.68921i	−1.51130	−	0.204847i
$69$	−3.86670	−	0.256060i	−0.465496	−	0.0308260i
$70$	−3.76532	−	6.55061i	−0.450041	−	0.782947i
$71$	−12.5649	−	5.20455i	−1.49118	−	0.617667i	−0.519606	−	0.854406i	$-0.673921\pi$
$71$	−12.5649	−	5.20455i	−1.49118	−	0.617667i	−0.971573	+	0.236740i	$0.923921\pi$
$72$	−4.66406	−	7.08848i	−0.549665	−	0.835385i
$73$	6.08847	−	2.52193i	0.712602	−	0.295169i	0.00322116	−	0.999995i	$-0.498975\pi$
$73$	6.08847	−	2.52193i	0.712602	−	0.295169i	0.709381	+	0.704825i	$0.248975\pi$
$74$	−2.14804	+	2.78833i	−0.249705	+	0.324137i
$75$	1.99436	−	5.86218i	0.230289	−	0.676906i
$76$	−0.462300	−	7.49211i	−0.0530294	−	0.859404i
$77$	0.687563	−	10.4902i	0.0783550	−	1.19547i
$78$	0.630559	+	0.555878i	0.0713968	+	0.0629408i
$79$	2.01962	+	7.53733i	0.227225	+	0.848016i	0.981501	+	0.191458i	$0.0613216\pi$
$79$	2.01962	+	7.53733i	0.227225	+	0.848016i	−0.754276	+	0.656558i	$0.772012\pi$
$80$	−3.17565	+	3.56576i	−0.355049	+	0.398665i
$81$	−6.34675	−	6.38113i	−0.705194	−	0.709014i
$82$	−15.2314	−	5.20286i	−1.68203	−	0.574560i
$83$	0.223784	−	0.110358i	0.0245635	−	0.0121134i	−0.429965	−	0.902845i	$-0.641474\pi$
$83$	0.223784	−	0.110358i	0.0245635	−	0.0121134i	0.454529	+	0.890732i	$0.349808\pi$
$84$	−4.91753	−	14.7036i	−0.536547	−	1.60429i
$85$	2.41284	+	7.10800i	0.261709	+	0.770970i
$86$	11.4052	+	4.74974i	1.22985	+	0.512178i
$87$	12.3198	−	3.29215i	1.32082	−	0.352956i
$88$	−6.42698	+	1.68266i	−0.685118	+	0.179372i
$89$	−0.644241	−	0.266853i	−0.0682894	−	0.0282864i	0.348277	−	0.937392i	$-0.386767\pi$
$89$	−0.644241	−	0.266853i	−0.0682894	−	0.0282864i	−0.416567	+	0.909105i	$0.636767\pi$
$90$	−2.54656	+	4.37772i	−0.268431	+	0.461452i
$91$	0.853311	+	1.27707i	0.0894513	+	0.133873i
$92$	−0.0171073	+	4.47463i	−0.00178355	+	0.466512i
$93$	4.85652	−	9.83130i	0.503598	−	1.01946i
$94$	6.52566	+	9.80687i	0.673070	+	1.01150i
$95$	−3.88001	+	2.24012i	−0.398080	+	0.229832i
$96$	−7.83387	+	5.88476i	−0.799541	+	0.600611i
$97$	10.0665	+	5.81191i	1.02210	+	0.590110i	0.914712	−	0.404107i	$-0.132418\pi$
$97$	10.0665	+	5.81191i	1.02210	+	0.590110i	0.107389	+	0.994217i	$0.465751\pi$
$98$	−1.17017	−	18.3920i	−0.118205	−	1.85787i
$99$	−6.32411	+	3.10809i	−0.635597	+	0.312375i
$100$	−6.89931	−	1.87696i	−0.689931	−	0.187696i
$101$	−0.164653	+	0.0107919i	−0.0163836	+	0.00107384i	−0.0735927	−	0.997288i	$-0.523446\pi$
$101$	−0.164653	+	0.0107919i	−0.0163836	+	0.00107384i	0.0572091	+	0.998362i	$0.481780\pi$
$102$	1.97097	+	15.2763i	0.195155	+	1.51258i
$103$	1.34114	+	10.1870i	0.132147	+	1.00375i	0.921107	+	0.389310i	$0.127287\pi$
$103$	1.34114	+	10.1870i	0.132147	+	1.00375i	−0.788960	+	0.614445i	$0.789380\pi$
$104$	0.595294	−	0.766658i	0.0583734	−	0.0751771i
$105$	−6.54781	+	6.53898i	−0.639001	+	0.638139i
$106$	0.248716	−	0.0322605i	0.0241574	−	0.00313342i
$107$	−8.37118	−	1.66513i	−0.809272	−	0.160974i	−0.226923	−	0.973913i	$-0.572866\pi$
$107$	−8.37118	−	1.66513i	−0.809272	−	0.160974i	−0.582350	+	0.812939i	$0.697866\pi$
$108$	−6.89771	+	7.77314i	−0.663732	+	0.747970i
$109$	12.8516	+	8.58718i	1.23096	+	0.822503i	0.989019	−	0.147788i	$-0.0472153\pi$
$109$	12.8516	+	8.58718i	1.23096	+	0.822503i	0.241943	+	0.970290i	$0.422215\pi$
$110$	2.60880	+	2.98626i	0.248739	+	0.284729i
$111$	3.98158	+	1.65237i	0.377915	+	0.156836i
$112$	−16.5917	+	6.72435i	−1.56777	+	0.635391i
$113$	6.41304	+	1.71837i	0.603288	+	0.161651i	0.547519	−	0.836793i	$-0.315572\pi$
$113$	6.41304	+	1.71837i	0.603288	+	0.161651i	0.0557691	+	0.998444i	$0.482239\pi$
$114$	−8.71310	+	2.93258i	−0.816057	+	0.274662i
$115$	2.39532	−	1.18124i	0.223365	−	0.110151i
$116$	−4.67979	−	13.9613i	−0.434507	−	1.29628i
$117$	0.456591	−	0.922731i	0.0422119	−	0.0853065i
$118$	2.29698	−	17.1933i	0.211454	−	1.58277i
$119$	−3.67350	+	27.9030i	−0.336749	+	2.55786i
$120$	5.22823	+	2.62007i	0.477270	+	0.239179i
$121$	−0.715653	−	5.43592i	−0.0650593	−	0.494175i
$122$	−0.0136663	+	7.14922i	−0.00123729	+	0.647260i
$123$	−1.30257	+	19.6698i	−0.117449	+	1.77357i
$124$	−11.6793	−	4.89014i	−1.04884	−	0.439147i
$125$	1.99698	+	10.0395i	0.178615	+	0.897960i
$126$	−15.8227	+	10.4979i	−1.40960	+	0.935228i
$127$		−	5.68458i		−	0.504425i	−0.967672	−	0.252212i	$-0.918842\pi$
$127$		−	5.68458i		−	0.504425i	0.967672	−	0.252212i	$-0.0811582\pi$
$128$	7.34516	+	8.60515i	0.649227	+	0.760595i
$129$	1.98517	−	15.0005i	0.174784	−	1.32072i
$130$	−0.567986	−	0.114109i	−0.0498157	−	0.0100080i
$131$	−9.58556	−	10.9302i	−0.837494	−	0.954979i	0.162000	−	0.986791i	$-0.448206\pi$
$131$	−9.58556	−	10.9302i	−0.837494	−	0.954979i	−0.999494	+	0.0318117i	$0.989872\pi$
$132$	4.03662	+	7.06483i	0.351342	+	0.614914i
$133$	−16.7619	+	1.09864i	−1.45344	+	0.0952638i
$134$	−1.16489	+	2.00877i	−0.100631	+	0.173531i
$135$	5.98813	+	1.61752i	0.515376	+	0.139214i
$136$	17.4636	−	3.36973i	1.49749	−	0.288952i
$137$	−8.72107	−	1.14815i	−0.745092	−	0.0980932i	−0.251585	−	0.967835i	$-0.580952\pi$
$137$	−8.72107	−	1.14815i	−0.745092	−	0.0980932i	−0.493507	+	0.869742i	$0.664285\pi$
$138$	5.29723	−	1.40471i	0.450931	−	0.119577i
$139$	1.16328	+	3.42693i	0.0986685	+	0.290668i	0.985045	−	0.172297i	$-0.0551189\pi$
$139$	1.16328	+	3.42693i	0.0986685	+	0.290668i	−0.886377	+	0.462965i	$0.846786\pi$
$140$	8.00666	+	7.07599i	0.676686	+	0.598030i
$141$	9.51971	−	10.8404i	0.801704	−	0.912924i
$142$	19.1899	+	1.29462i	1.61038	+	0.108642i
$143$	−0.569975	−	0.569975i	−0.0476637	−	0.0476637i
$144$	9.45413	+	7.39049i	0.787844	+	0.615875i
$145$	−6.21450	+	6.21450i	−0.516086	+	0.516086i
$146$	−7.01875	+	6.13159i	−0.580876	+	0.507454i
$147$	−21.3781	+	7.24078i	−1.76323	+	0.597209i
$148$	1.61805	−	4.70741i	0.133003	−	0.386946i
$149$	−9.69207	+	3.29002i	−0.794006	+	0.269529i	−0.688828	−	0.724925i	$-0.741874\pi$
$149$	−9.69207	+	3.29002i	−0.794006	+	0.269529i	−0.105178	+	0.994453i	$0.533541\pi$
$150$	−0.0226539	+	8.75698i	−0.00184968	+	0.715005i
$151$	−2.58448	+	19.6311i	−0.210322	+	1.59755i	0.482137	+	0.876096i	$0.339861\pi$
$151$	−2.58448	+	19.6311i	−0.210322	+	1.59755i	−0.692459	+	0.721458i	$0.743473\pi$
$152$	4.00610	+	9.83067i	0.324938	+	0.797373i
$153$	17.4384	−	7.19563i	1.40981	−	0.581732i
$154$	3.82045	+	14.3679i	0.307861	+	1.15780i
$155$	0.494271	+	7.54112i	0.0397008	+	0.605717i
$156$	−1.09624	−	0.459864i	−0.0877692	−	0.0368186i
$157$	8.15639	−	7.15296i	0.650951	−	0.570868i	−0.268885	−	0.963172i	$-0.586655\pi$
$157$	8.15639	−	7.15296i	0.650951	−	0.570868i	0.919836	+	0.392304i	$0.128322\pi$
$158$	−6.11340	−	9.18732i	−0.486356	−	0.730904i
$159$	−0.117355	−	0.283863i	−0.00930689	−	0.0225118i
$160$	2.64365	−	6.21369i	0.208999	−	0.491236i
$161$	10.0135			0.789174
$162$	11.3892	+	5.68202i	0.894823	+	0.446421i
$163$	−20.5038	+	4.07846i	−1.60598	+	0.319449i	−0.915009	−	0.403433i	$-0.867817\pi$
$163$	−20.5038	+	4.07846i	−1.60598	+	0.319449i	−0.690971	+	0.722882i	$0.742817\pi$
$164$	22.7623	+	0.0870242i	1.77744	+	0.00679545i
$165$	2.70084	−	4.03619i	0.210260	−	0.314217i
$166$	−0.249993	+	0.249039i	−0.0194032	+	0.0193291i
$167$	−4.31483	+	0.568058i	−0.333891	+	0.0439576i	−0.295608	−	0.955309i	$-0.595522\pi$
$167$	−4.31483	+	0.568058i	−0.333891	+	0.0439576i	−0.0382833	+	0.999267i	$0.512189\pi$
$168$	13.2360	+	17.4803i	1.02118	+	1.34864i
$169$	−12.7720	−	1.68147i	−0.982463	−	0.129344i
$170$	−6.44625	−	8.43425i	−0.494405	−	0.646878i
$171$	6.24282	+	9.37041i	0.477400	+	0.716573i
$172$	−17.4302	−	1.20938i	−1.32904	−	0.0922144i
$173$	−6.70024	−	13.5867i	−0.509410	−	1.03298i	−0.987929	−	0.154904i	$-0.950493\pi$
$173$	−6.70024	−	13.5867i	−0.509410	−	1.03298i	0.478519	−	0.878077i	$-0.341174\pi$
$174$	−15.0207	+	9.98039i	−1.13872	+	0.756612i
$175$	−4.14125	+	15.4554i	−0.313049	+	1.16832i
$176$	7.85173	−	5.15996i	0.591846	−	0.388946i
$177$	−21.0646	+	2.75874i	−1.58331	+	0.207359i
$178$	0.983925	+	0.0663790i	0.0737483	+	0.00497532i
$179$	6.23926	−	9.33771i	0.466344	−	0.697933i	−0.521523	−	0.853237i	$-0.674636\pi$
$179$	6.23926	−	9.33771i	0.466344	−	0.697933i	0.987867	+	0.155304i	$0.0496358\pi$
$180$	1.43362	−	7.01737i	0.106856	−	0.523044i
$181$	−1.29260	+	6.49833i	−0.0960781	+	0.483017i	0.902547	+	0.430592i	$0.141695\pi$
$181$	−1.29260	+	6.49833i	−0.0960781	+	0.483017i	−0.998625	+	0.0524253i	$0.983305\pi$
$182$	−1.72073	−	1.32559i	−0.127549	−	0.0982595i
$183$	8.45916	−	2.26050i	0.625319	−	0.167101i
$184$	−1.99971	−	6.00386i	−0.147421	−	0.442611i
$185$	−2.94559	+	0.387794i	−0.216564	+	0.0285112i
$186$	−2.06389	+	15.3695i	−0.151332	+	1.12695i
$187$	−0.966015	−	14.7385i	−0.0706420	−	1.07779i
$188$	−13.1775	−	10.1917i	−0.961068	−	0.743308i
$189$	17.4538	+	15.3692i	1.26958	+	1.11795i
$190$	4.18673	−	4.75568i	0.303737	−	0.345013i
$191$	4.05224	−	7.01869i	0.293210	−	0.507854i	−0.681357	−	0.731951i	$-0.738610\pi$
$191$	4.05224	−	7.01869i	0.293210	−	0.507854i	0.974567	+	0.224097i	$0.0719432\pi$
$192$	7.83756	−	11.4268i	0.565627	−	0.824661i
$193$	5.86766	+	10.1631i	0.422363	+	0.731555i	0.996170	−	0.0874360i	$-0.0278673\pi$
$193$	5.86766	+	10.1631i	0.422363	+	0.731555i	−0.573807	+	0.818991i	$0.694534\pi$
$194$	−16.1165	−	3.23782i	−1.15710	−	0.232462i
$195$	0.0459278	+	0.708050i	0.00328896	+	0.0507045i
$196$	9.88166	+	24.1168i	0.705833	+	1.72263i
$197$	0.423218	−	0.282785i	0.0301531	−	0.0201476i	−0.540402	−	0.841407i	$-0.681728\pi$
$197$	0.423218	−	0.282785i	0.0301531	−	0.0201476i	0.570555	+	0.821259i	$0.306728\pi$
$198$	7.06955	−	7.02357i	0.502411	−	0.499144i
$199$	0.00680071	−	0.0164184i	0.000482090	−	0.00116387i	−0.923638	−	0.383265i	$-0.874800\pi$
$199$	0.00680071	−	0.0164184i	0.000482090	−	0.00116387i	0.924120	+	0.382101i	$0.124800\pi$
$200$	10.0937	−	0.603464i	0.713732	−	0.0426714i
$201$	2.74657	+	0.737929i	0.193728	+	0.0520495i
$202$	0.215761	−	0.0888885i	0.0151809	−	0.00625417i
$203$	−31.2027	+	10.5919i	−2.19000	+	0.743406i
$204$	−9.54639	−	19.5797i	−0.668381	−	1.37085i
$205$	−6.00894	−	12.1849i	−0.419683	−	0.851032i
$206$	−6.40193	−	13.0446i	−0.446044	−	0.908863i
$207$	−3.34814	−	5.81728i	−0.232712	−	0.404329i
$208$	−0.451163	+	1.29643i	−0.0312825	+	0.0898913i
$209$	8.51533	−	2.28168i	0.589018	−	0.157827i
$210$	5.81849	−	11.7222i	0.401514	−	0.808907i
$211$	22.1536	+	1.45203i	1.52512	+	0.0999616i	0.804744	−	0.593622i	$-0.202303\pi$
$211$	22.1536	+	1.45203i	1.52512	+	0.0999616i	0.720376	+	0.693584i	$0.243969\pi$
$212$	−0.318704	+	0.155655i	−0.0218887	+	0.0106905i
$213$	−4.57997	−	23.1066i	−0.313814	−	1.58324i
$214$	11.9703	−	1.55265i	0.818272	−	0.106137i
$215$	3.99078	+	9.63460i	0.272169	+	0.657074i
$216$	5.72948	−	13.5341i	0.389842	−	0.920882i
$217$	−10.8433	+	26.1779i	−0.736088	+	1.77707i
$218$	−21.1031	−	5.69783i	−1.42928	−	0.385906i
$219$	9.48646	+	6.34792i	0.641035	+	0.428953i
$220$	−4.84572	−	2.82243i	−0.326698	−	0.190288i
$221$	1.42283	+	1.62243i	0.0957099	+	0.109136i
$222$	−6.08234	−	0.414462i	−0.408220	−	0.0278169i
$223$	−5.15606	+	8.93056i	−0.345275	+	0.598034i	−0.985404	−	0.170234i	$-0.945548\pi$
$223$	−5.15606	+	8.93056i	−0.345275	+	0.598034i	0.640128	+	0.768268i	$0.278881\pi$
$224$	19.1938	−	16.5107i	1.28244	−	1.10317i
$225$	10.3634	−	2.76187i	0.690893	−	0.184124i
$226$	−9.37040	+	0.596182i	−0.623310	+	0.0396574i
$227$	11.6459	+	3.95325i	0.772965	+	0.262386i	0.679930	−	0.733277i	$-0.262010\pi$
$227$	11.6459	+	3.95325i	0.772965	+	0.262386i	0.0930346	+	0.995663i	$0.470343\pi$
$228$	10.3502	−	7.86827i	0.685459	−	0.521089i
$229$	−23.9684	−	11.8199i	−1.58388	−	0.781083i	−0.584343	−	0.811507i	$-0.698648\pi$
$229$	−23.9684	−	11.8199i	−1.58388	−	0.781083i	−0.999537	+	0.0304241i	$0.990314\pi$
$230$	−2.67585	+	2.66563i	−0.176440	+	0.175767i
$231$	15.7752	−	9.09360i	1.03793	−	0.598315i
$232$	12.5819	+	16.5932i	0.826042	+	1.08940i
$233$	−3.38696	+	1.40293i	−0.221887	+	0.0919087i	−0.490858	−	0.871240i	$-0.663317\pi$
$233$	−3.38696	+	1.40293i	−0.221887	+	0.0919087i	0.268971	+	0.963148i	$0.413317\pi$
$234$	−0.194749	+	1.44287i	−0.0127311	+	0.0943237i
$235$	−1.93978	+	9.75195i	−0.126538	+	0.636147i
$236$	4.69374	+	24.0778i	0.305537	+	1.56733i
$237$	−8.91830	+	10.1555i	−0.579306	+	0.659672i
$238$	−7.69022	−	39.0513i	−0.498483	−	2.53132i
$239$	−6.93649	−	1.85863i	−0.448684	−	0.120225i	0.0273994	−	0.999625i	$-0.491277\pi$
$239$	−6.93649	−	1.85863i	−0.448684	−	0.120225i	−0.476084	+	0.879400i	$0.657944\pi$
$240$	−8.19031	−	1.14769i	−0.528682	−	0.0740831i
$241$	27.1865	−	7.28461i	1.75124	−	0.469243i	0.766348	−	0.642425i	$-0.222072\pi$
$241$	27.1865	−	7.28461i	1.75124	−	0.469243i	0.984890	+	0.173182i	$0.0554050\pi$
$242$	3.41616	+	6.96080i	0.219599	+	0.447457i
$243$	3.09277	−	15.2786i	0.198401	−	0.980121i
$244$	−3.21330	−	9.58633i	−0.205710	−	0.613702i
$245$	10.2567	−	11.6955i	0.655274	−	0.747197i
$246$	−7.14574	−	26.9469i	−0.455596	−	1.71807i
$247$	−0.784078	+	1.02183i	−0.0498897	+	0.0650175i
$248$	17.8611	+	1.27359i	1.13418	+	0.0808728i
$249$	0.374128	+	0.216340i	0.0237094	+	0.0137100i
$250$	−7.21410	−	12.5505i	−0.456260	−	0.793765i
$251$	0.257639	+	0.385584i	0.0162620	+	0.0243379i	0.839512	−	0.543342i	$-0.182841\pi$
$251$	0.257639	+	0.385584i	0.0162620	+	0.0243379i	−0.823250	+	0.567680i	$0.807841\pi$
$252$	16.4576	−	21.2197i	1.03673	−	1.33672i
$253$	−5.15421	+	1.02524i	−0.324043	+	0.0644561i
$254$	2.56956	+	7.61750i	0.161229	+	0.477964i
$255$	−7.92171	+	10.3093i	−0.496077	+	0.645596i
$256$	−13.7325	−	8.21096i	−0.858278	−	0.513185i
$257$	1.24178	−	0.716939i	0.0774598	−	0.0447214i	−0.460770	−	0.887520i	$-0.652427\pi$
$257$	1.24178	−	0.716939i	0.0774598	−	0.0447214i	0.538230	+	0.842798i	$0.319093\pi$
$258$	4.12041	+	20.9985i	0.256526	+	1.30731i
$259$	−10.5481	−	3.58060i	−0.655427	−	0.222488i
$260$	0.812697	−	0.103834i	0.0504013	−	0.00643953i
$261$	16.5863	+	14.5855i	1.02667	+	0.902821i
$262$	17.7856	+	10.3139i	1.09880	+	0.637196i
$263$	7.81334	−	5.99539i	0.481791	−	0.369691i	−0.339124	−	0.940742i	$-0.610131\pi$
$263$	7.81334	−	5.99539i	0.481791	−	0.369691i	0.820915	+	0.571050i	$0.193464\pi$
$264$	−8.60264	−	7.64242i	−0.529456	−	0.470359i
$265$	0.167950	+	0.128873i	0.0103171	+	0.00791659i
$266$	21.9649	−	9.04899i	1.34675	−	0.554829i
$267$	−0.234829	−	1.18475i	−0.0143713	−	0.0725054i
$268$	0.652973	−	3.21836i	0.0398867	−	0.196593i
$269$	19.2937	+	12.8917i	1.17636	+	0.786018i	0.980865	−	0.194687i	$-0.0623691\pi$
$269$	19.2937	+	12.8917i	1.17636	+	0.786018i	0.195494	+	0.980705i	$0.437369\pi$
$270$	−8.75542	+	0.539245i	−0.532838	+	0.0328174i
$271$	7.36416	−	7.36416i	0.447341	−	0.447341i	−0.447129	−	0.894470i	$-0.647553\pi$
$271$	7.36416	−	7.36416i	0.447341	−	0.447341i	0.894470	+	0.447129i	$0.147553\pi$
$272$	−21.8785	+	12.4095i	−1.32658	+	0.752436i
$273$	−1.01971	+	2.45710i	−0.0617156	+	0.148710i
$274$	12.2055	−	2.40357i	0.737360	−	0.145205i
$275$	0.549208	−	8.37930i	0.0331185	−	0.505291i
$276$	−6.46348	+	4.27683i	−0.389056	+	0.257435i
$277$	0.233509	−	0.266265i	0.0140302	−	0.0159983i	−0.744782	−	0.667308i	$-0.767447\pi$
$277$	0.233509	−	0.266265i	0.0140302	−	0.0159983i	0.758812	+	0.651309i	$0.225780\pi$
$278$	−3.10788	−	4.06635i	−0.186399	−	0.243883i
$279$	18.8335	−	2.45360i	1.12753	−	0.146893i
$280$	−13.9277	−	5.86282i	−0.832337	−	0.350371i
$281$	14.5214	−	11.1426i	0.866273	−	0.664715i	−0.0768920	−	0.997039i	$-0.524500\pi$
$281$	14.5214	−	11.1426i	0.866273	−	0.664715i	0.943165	+	0.332325i	$0.107833\pi$
$282$	−7.85657	+	18.8295i	−0.467852	+	1.12128i
$283$	9.44726	−	19.1571i	0.561581	−	1.13877i	−0.412159	−	0.911112i	$-0.635225\pi$
$283$	9.44726	−	19.1571i	0.561581	−	1.13877i	0.973740	−	0.227662i	$-0.0731081\pi$
$284$	−26.3002	+	6.93946i	−1.56063	+	0.411781i
$285$	−6.95742	−	3.43687i	−0.412122	−	0.203582i
$286$	1.02142	+	0.506141i	0.0603981	+	0.0299287i
$287$		−	50.9384i		−	3.00680i
$288$	−16.0095	−	5.62998i	−0.943367	−	0.331750i
$289$			22.5416i			1.32598i
$290$	5.51851	−	11.1367i	0.324058	−	0.653970i
$291$	1.30320	+	20.0908i	0.0763947	+	1.17775i
$292$	6.63371	−	11.3891i	0.388208	−	0.666499i
$293$	5.19731	−	10.5391i	0.303630	−	0.615701i	−0.690568	−	0.723268i	$-0.742639\pi$
$293$	5.19731	−	10.5391i	0.303630	−	0.615701i	0.994198	+	0.107567i	$0.0343059\pi$
$294$	25.3742	−	19.3662i	1.47985	−	1.12946i
$295$	11.6159	−	8.91322i	0.676306	−	0.518948i
$296$	−0.0403697	+	7.03945i	−0.00234644	+	0.409160i
$297$	−10.5575	−	6.12394i	−0.612609	−	0.355347i
$298$	11.5005	−	8.78976i	0.666205	−	0.509177i
$299$	0.506240	−	0.577256i	0.0292766	−	0.0333836i
$300$	−3.92800	−	11.7448i	−0.226783	−	0.678089i
$301$	−2.55723	+	39.0158i	−0.147396	+	2.24884i
$302$	−5.41043	−	27.4744i	−0.311335	−	1.58098i
$303$	−0.173830	−	0.226857i	−0.00998630	−	0.0130326i
$304$	−9.81199	−	11.3625i	−0.562756	−	0.651685i
$305$	−4.26709	+	4.26709i	−0.244333	+	0.244333i
$306$	−20.1153	+	17.5249i	−1.14992	+	1.00183i
$307$	−21.4970	−	14.3639i	−1.22690	−	0.819788i	−0.238423	−	0.971161i	$-0.576631\pi$
$307$	−21.4970	−	14.3639i	−1.22690	−	0.819788i	−0.988477	+	0.151373i	$0.951631\pi$
$308$	−11.6142	−	17.5265i	−0.661778	−	0.998664i
$309$	−13.3882	+	11.7251i	−0.761625	+	0.667018i
$310$	−4.07110	−	9.88189i	−0.231223	−	0.561253i
$311$	−13.4743	−	10.3392i	−0.764058	−	0.586282i	0.151505	−	0.988456i	$-0.451588\pi$
$311$	−13.4743	−	10.3392i	−0.764058	−	0.586282i	−0.915563	+	0.402174i	$0.868255\pi$
$312$	1.67686	+	0.120707i	0.0949333	+	0.00683367i
$313$	15.2121	−	11.6727i	0.859839	−	0.659777i	−0.0817093	−	0.996656i	$-0.526038\pi$
$313$	15.2121	−	11.6727i	0.859839	−	0.659777i	0.941548	+	0.336879i	$0.109371\pi$
$314$	−7.69648	+	13.2720i	−0.434338	+	0.748985i
$315$	−15.7158	−	3.14814i	−0.885483	−	0.177377i
$316$	12.3450	+	9.54786i	0.694461	+	0.537109i
$317$	−21.4947	−	7.29648i	−1.20726	−	0.409811i	−0.355969	−	0.934498i	$-0.615849\pi$
$317$	−21.4947	−	7.29648i	−1.20726	−	0.409811i	−0.851295	+	0.524687i	$0.824182\pi$
$318$	0.285572	+	0.327337i	0.0160141	+	0.0183562i
$319$	14.9764	−	8.64664i	0.838519	−	0.484119i
$320$	−0.733836	+	9.52152i	−0.0410227	+	0.532269i
$321$	−5.64812	−	13.6619i	−0.315247	−	0.762531i
$322$	−13.4184	+	4.52633i	−0.747776	+	0.252243i
$323$	−23.1473	+	4.60429i	−1.28795	+	0.256189i
$324$	−17.8303	−	2.46586i	−0.990572	−	0.136992i
$325$	0.681604	+	1.02009i	0.0378086	+	0.0565845i
$326$	25.6321	−	14.7334i	1.41963	−	0.816009i
$327$	−0.0180806	+	26.7715i	−0.000999860	+	1.48047i
$328$	−30.5415	+	10.1725i	−1.68637	+	0.561682i
$329$	−22.6944	+	29.5759i	−1.25118	+	1.63057i
$330$	−1.79475	+	6.62945i	−0.0987977	+	0.364939i
$331$	13.2073	−	15.0600i	0.725939	−	0.827774i	−0.264693	−	0.964333i	$-0.585271\pi$
$331$	13.2073	−	15.0600i	0.725939	−	0.827774i	0.990632	+	0.136558i	$0.0436041\pi$
$332$	0.222426	−	0.446721i	0.0122072	−	0.0245170i
$333$	1.44677	+	7.32508i	0.0792823	+	0.401412i
$334$	5.52522	−	2.71162i	0.302326	−	0.148373i
$335$	−1.89326	+	0.507298i	−0.103440	+	0.0277166i
$336$	−25.6381	−	17.4412i	−1.39867	−	0.951494i
$337$	3.39834	+	0.910584i	0.185120	+	0.0496027i	0.350188	−	0.936680i	$-0.386118\pi$
$337$	3.39834	+	0.910584i	0.185120	+	0.0496027i	−0.165068	+	0.986282i	$0.552784\pi$
$338$	17.8749	−	3.52004i	0.972268	−	0.191465i
$339$	3.68906	+	10.8918i	0.200362	+	0.591560i
$340$	12.4506	+	8.38828i	0.675231	+	0.454918i
$341$	2.90107	−	14.5847i	0.157102	−	0.789804i
$342$	−12.6012	−	9.73471i	−0.681395	−	0.526393i
$343$	24.9395	−	10.3303i	1.34661	−	0.557783i
$344$	23.9037	−	6.25827i	1.28880	−	0.337423i
$345$	4.00455	+	2.31564i	0.215598	+	0.124670i
$346$	15.1200	+	15.1780i	0.812858	+	0.815972i
$347$	13.0834	+	6.45202i	0.702354	+	0.346362i	0.758150	−	0.652080i	$-0.226103\pi$
$347$	13.0834	+	6.45202i	0.702354	+	0.346362i	−0.0557969	+	0.998442i	$0.517770\pi$
$348$	15.6168	−	20.1637i	0.837147	−	1.08089i
$349$	5.34431	+	1.81415i	0.286074	+	0.0971091i	0.460788	−	0.887510i	$-0.347567\pi$
$349$	5.34431	+	1.81415i	0.286074	+	0.0971091i	−0.174714	+	0.984619i	$0.555900\pi$
$350$	−1.43679	−	22.5826i	−0.0767998	−	1.20709i
$351$	1.76839	−	0.229169i	0.0943897	−	0.0122321i
$352$	−8.18911	+	10.4636i	−0.436481	+	0.557714i
$353$	−10.0911	+	17.4783i	−0.537094	+	0.930275i	0.461965	+	0.886898i	$0.347145\pi$
$353$	−10.0911	+	17.4783i	−0.537094	+	0.930275i	−0.999059	+	0.0433762i	$0.986189\pi$
$354$	26.9801	−	13.2185i	1.43398	−	0.702554i
$355$	10.7043	+	12.2059i	0.568126	+	0.647824i
$356$	−1.34849	+	0.355807i	−0.0714699	+	0.0188578i
$357$	−43.7339	+	21.5305i	−2.31464	+	1.13951i
$358$	−4.13992	+	15.3331i	−0.218801	+	0.810378i
$359$	−0.939618	+	2.26844i	−0.0495911	+	0.119724i	−0.946734	−	0.322018i	$-0.895639\pi$
$359$	−0.939618	+	2.26844i	−0.0495911	+	0.119724i	0.897143	+	0.441741i	$0.145639\pi$
$360$	1.25092	+	10.0515i	0.0659292	+	0.529761i
$361$	1.88036	+	4.53960i	0.0989665	+	0.238926i
$362$	−1.20528	−	9.29223i	−0.0633481	−	0.488389i
$363$	7.14410	−	6.25668i	0.374968	−	0.328390i
$364$	2.90502	+	0.998523i	0.152264	+	0.0523368i
$365$	−7.84991	−	0.514510i	−0.410883	−	0.0269307i
$366$	−10.3137	+	6.85287i	−0.539106	+	0.358205i
$367$	5.72292	−	1.53345i	0.298734	−	0.0800456i	−0.106339	−	0.994330i	$-0.533913\pi$
$367$	5.72292	−	1.53345i	0.298734	−	0.0800456i	0.405073	+	0.914284i	$0.367246\pi$
$368$	5.39356	+	7.14143i	0.281159	+	0.372273i
$369$	−29.5924	+	17.0319i	−1.54052	+	0.886646i
$370$	3.77187	−	1.85113i	0.196090	−	0.0962355i
$371$	0.351053	+	0.711865i	0.0182258	+	0.0369582i
$372$	−4.18169	−	21.5285i	−0.216810	−	1.11620i
$373$	16.0175	−	5.43722i	0.829357	−	0.281529i	0.125699	−	0.992068i	$-0.459882\pi$
$373$	16.0175	−	5.43722i	0.829357	−	0.281529i	0.703657	+	0.710540i	$0.251549\pi$
$374$	7.95665	+	19.3134i	0.411429	+	0.998672i
$375$	−12.5452	+	12.5282i	−0.647830	+	0.646956i
$376$	22.2651	+	7.70067i	1.14824	+	0.397131i
$377$	−0.966878	+	2.33425i	−0.0497967	+	0.120220i
$378$	−30.3358	−	12.7057i	−1.56031	−	0.653509i
$379$	−5.09572	+	3.40485i	−0.261750	+	0.174895i	−0.679520	−	0.733657i	$-0.737812\pi$
$379$	−5.09572	+	3.40485i	−0.261750	+	0.174895i	0.417770	+	0.908553i	$0.362812\pi$
$380$	−3.46066	+	8.26524i	−0.177528	+	0.423998i
$381$	8.19033	−	5.46460i	0.419603	−	0.279960i
$382$	−2.25751	+	11.2369i	−0.115504	+	0.574932i
$383$	13.2541	+	22.9568i	0.677254	+	1.17304i	0.975804	+	0.218645i	$0.0701637\pi$
$383$	13.2541	+	22.9568i	0.677254	+	1.17304i	−0.298550	+	0.954394i	$0.596503\pi$
$384$	−5.33735	+	18.8550i	−0.272370	+	0.962192i
$385$	−6.27460	+	10.8679i	−0.319783	+	0.553881i
$386$	−12.4568	−	10.9665i	−0.634033	−	0.558180i
$387$	23.5211	−	11.5598i	1.19564	−	0.587620i
$388$	23.0602	−	2.94629i	1.17070	−	0.149575i
$389$	−1.89321	−	28.8848i	−0.0959895	−	1.46452i	−0.725874	−	0.687828i	$-0.758564\pi$
$389$	−1.89321	−	28.8848i	−0.0959895	−	1.46452i	0.629885	−	0.776689i	$-0.283102\pi$
$390$	−0.381600	−	0.928046i	−0.0193230	−	0.0469934i
$391$	13.9484	−	1.83635i	0.705403	−	0.0928681i
$392$	−24.1431	−	27.8505i	−1.21941	−	1.40666i
$393$	6.53363	−	24.3181i	0.329578	−	1.22669i
$394$	−0.439299	+	0.570245i	−0.0221316	+	0.0287285i
$395$	1.81724	−	9.13587i	0.0914351	−	0.459675i
$396$	−6.29857	+	12.6074i	−0.316515	+	0.633545i
$397$	−7.50704	+	11.2351i	−0.376767	+	0.563872i	−0.970594	−	0.240721i	$-0.922616\pi$
$397$	−7.50704	+	11.2351i	−0.376767	+	0.563872i	0.593827	+	0.804593i	$0.297616\pi$
$398$	−0.00169166	+	0.0250752i	−8.47952e−5	+	0.00125690i
$399$	−17.6962	−	23.0944i	−0.885919	−	1.15617i
$400$	−13.2531	+	5.37125i	−0.662653	+	0.268562i
$401$	1.58731	−	5.92392i	0.0792664	−	0.295826i	−0.914900	−	0.403680i	$-0.867731\pi$
$401$	1.58731	−	5.92392i	0.0792664	−	0.295826i	0.994167	+	0.107853i	$0.0343977\pi$
$402$	−4.01404	+	0.252667i	−0.200202	+	0.0126019i
$403$	0.960911	+	1.94853i	0.0478664	+	0.0970634i
$404$	−0.248947	+	0.216642i	−0.0123856	+	0.0107784i
$405$	3.42588	+	10.1826i	0.170233	+	0.505978i
$406$	37.0247	−	28.2978i	1.83751	−	1.40440i
$407$	5.79599	+	0.763057i	0.287297	+	0.0378233i
$408$	21.6429	+	21.9222i	1.07148	+	1.08531i
$409$	25.7440	−	3.38926i	1.27296	−	0.167588i	0.536401	−	0.843964i	$-0.319784\pi$
$409$	25.7440	−	3.38926i	1.27296	−	0.167588i	0.736557	+	0.676376i	$0.236450\pi$
$410$	13.5600	+	13.6120i	0.669682	+	0.672247i
$411$	−6.72934	−	13.6690i	−0.331934	−	0.674243i
$412$	14.4752	+	14.5864i	0.713144	+	0.718618i
$413$	53.8412	−	10.7097i	2.64935	−	0.526989i
$414$	7.11615	+	6.28189i	0.349740	+	0.308738i
$415$	−0.297852			−0.0146210
$416$	0.0185542	−	1.94119i	0.000909694	−	0.0951746i
$417$	−3.81924	+	4.97037i	−0.187029	+	0.243400i
$418$	−10.3794	+	6.90664i	−0.507674	+	0.337815i
$419$	23.2181	−	20.3617i	1.13428	−	0.994736i	0.134286	−	0.990943i	$-0.457126\pi$
$419$	23.2181	−	20.3617i	1.13428	−	0.994736i	0.999993	−	0.00379298i	$-0.00120735\pi$
$420$	−2.49824	+	18.3381i	−0.121901	+	0.894809i
$421$	0.503807	+	7.68661i	0.0245540	+	0.374622i	0.992398	+	0.123071i	$0.0392742\pi$
$421$	0.503807	+	7.68661i	0.0245540	+	0.374622i	−0.967844	+	0.251552i	$0.919059\pi$
$422$	−30.3429	+	8.06821i	−1.47707	+	0.392754i
$423$	24.7701	+	3.29509i	1.20436	+	0.160213i
$424$	0.356712	−	0.352644i	0.0173235	−	0.0171259i
$425$	−2.93430	+	22.2882i	−0.142335	+	1.08114i
$426$	16.5820	+	28.8933i	0.803401	+	1.39988i
$427$	−21.4248	+	7.27275i	−1.03682	+	0.351953i
$428$	−15.3387	+	7.49144i	−0.741424	+	0.362112i
$429$	0.273300	−	1.36914i	0.0131950	−	0.0661026i
$430$	−9.70282	−	11.1067i	−0.467912	−	0.535613i
$431$	−21.4933	+	21.4933i	−1.03529	+	1.03529i	−0.0359395	+	0.999354i	$0.511442\pi$
$431$	−21.4933	+	21.4933i	−1.03529	+	1.03529i	−0.999354	+	0.0359395i	$0.988558\pi$
$432$	−1.55992	+	20.7260i	−0.0750516	+	0.997180i
$433$	15.0724	+	15.0724i	0.724332	+	0.724332i	0.969485	−	0.245152i	$-0.0788380\pi$
$433$	15.0724	+	15.0724i	0.724332	+	0.724332i	−0.245152	+	0.969485i	$0.578838\pi$
$434$	2.69723	−	39.9806i	0.129471	−	1.91913i
$435$	−14.9279	−	2.97982i	−0.715736	−	0.142871i
$436$	30.8543	−	1.90386i	1.47766	−	0.0911785i
$437$	2.69916	+	7.95148i	0.129118	+	0.380371i
$438$	−15.5815	−	4.21829i	−0.744514	−	0.201558i
$439$	−6.27982	−	0.826754i	−0.299719	−	0.0394588i	−0.0208332	−	0.999783i	$-0.506632\pi$
$439$	−6.27982	−	0.826754i	−0.299719	−	0.0394588i	−0.278886	+	0.960324i	$0.589965\pi$
$440$	7.76920	+	1.59176i	0.370382	+	0.0758842i
$441$	−30.9833	−	23.8409i	−1.47540	−	1.13528i
$442$	−2.64001	−	1.53094i	−0.125572	−	0.0728196i
$443$	−1.26625	+	0.0829944i	−0.0601614	+	0.00394319i	−0.0954541	−	0.995434i	$-0.530430\pi$
$443$	−1.26625	+	0.0829944i	−0.0601614	+	0.00394319i	0.0352927	+	0.999377i	$0.488764\pi$
$444$	8.33785	−	2.19397i	0.395697	−	0.104121i
$445$	0.548844	+	0.625836i	0.0260177	+	0.0296675i
$446$	2.87244	−	14.2979i	0.136014	−	0.677023i
$447$	−14.0573	−	10.8016i	−0.664886	−	0.510899i
$448$	−18.2570	+	30.8008i	−0.862564	+	1.45520i
$449$			1.98482i			0.0936695i	0.998903	+	0.0468348i	$0.0149134\pi$
$449$			1.98482i			0.0936695i	−0.998903	+	0.0468348i	$0.985087\pi$
$450$	−12.6388	+	8.38547i	−0.595799	+	0.395295i
$451$	5.21536	+	26.2194i	0.245582	+	1.23462i
$452$	12.2871	−	5.03454i	0.577937	−	0.236805i
$453$	−30.7689	+	15.1477i	−1.44565	+	0.711701i
$454$	−17.3928	−	0.0332476i	−0.816284	−	0.00156039i
$455$	−0.239314	−	1.81777i	−0.0112192	−	0.0852184i
$456$	−10.3129	+	15.2222i	−0.482947	+	0.712847i
$457$	3.13306	−	23.7979i	0.146558	−	1.11322i	−0.747177	−	0.664625i	$-0.768591\pi$
$457$	3.13306	−	23.7979i	0.146558	−	1.11322i	0.893735	−	0.448595i	$-0.148076\pi$
$458$	37.4613	+	5.00474i	1.75045	+	0.233856i
$459$	27.1310	+	18.2080i	1.26637	+	0.849876i
$460$	2.38078	−	4.78157i	0.111004	−	0.222942i
$461$	17.4915	−	8.62586i	0.814661	−	0.401746i	0.0132884	−	0.999912i	$-0.495770\pi$
$461$	17.4915	−	8.62586i	0.814661	−	0.401746i	0.801373	+	0.598165i	$0.204103\pi$
$462$	−17.0287	+	19.3164i	−0.792245	+	0.898682i
$463$	18.8651	+	5.05489i	0.876735	+	0.234920i	0.668998	−	0.743264i	$-0.266723\pi$
$463$	18.8651	+	5.05489i	0.876735	+	0.234920i	0.207737	+	0.978185i	$0.433390\pi$
$464$	−24.3606	−	16.5481i	−1.13091	−	0.768225i
$465$	−10.3901	+	7.96144i	−0.481828	+	0.369203i
$466$	3.90447	−	3.41095i	0.180871	−	0.158009i
$467$	6.83912	+	4.56975i	0.316477	+	0.211463i	0.703655	−	0.710542i	$-0.251550\pi$
$467$	6.83912	+	4.56975i	0.316477	+	0.211463i	−0.387178	+	0.922005i	$0.626550\pi$
$468$	−0.391244	−	2.02152i	−0.0180853	−	0.0934450i
$469$	−7.20765	−	1.43369i	−0.332818	−	0.0662017i
$470$	−1.80875	−	13.9447i	−0.0834312	−	0.643222i
$471$	18.1467	+	4.87554i	0.836157	+	0.224653i
$472$	−17.1735	−	30.1432i	−0.790473	−	1.38745i
$473$	−2.67838	−	20.3443i	−0.123152	−	0.935433i
$474$	7.36023	−	17.6400i	0.338067	−	0.810230i
$475$	−13.3890	+	0.877563i	−0.614331	+	0.0402654i
$476$	27.9572	+	48.8537i	1.28142	+	2.23921i
$477$	0.296175	−	0.441964i	0.0135609	−	0.0202361i
$478$	10.1352	−	0.644843i	0.463575	−	0.0294944i
$479$	18.1600	+	10.4847i	0.829754	+	0.479058i	0.853768	−	0.520653i	$-0.174312\pi$
$479$	18.1600	+	10.4847i	0.829754	+	0.479058i	−0.0240147	+	0.999712i	$0.507645\pi$
$480$	11.4940	−	2.16427i	0.524628	−	0.0987851i
$481$	−0.739681	+	0.427055i	−0.0337265	+	0.0194720i
$482$	−33.1379	+	22.0505i	−1.50939	+	1.00437i
$483$	9.62600	+	14.4274i	0.437998	+	0.656470i
$484$	−7.72419	−	7.78348i	−0.351100	−	0.353794i
$485$	−7.70886	−	11.5371i	−0.350041	−	0.523874i
$486$	2.76188	+	21.8717i	0.125281	+	0.992121i
$487$	10.8083	+	4.47695i	0.489772	+	0.202870i	0.613881	−	0.789398i	$-0.289607\pi$
$487$	10.8083	+	4.47695i	0.489772	+	0.202870i	−0.124109	+	0.992269i	$0.539607\pi$
$488$	8.63915	+	11.3935i	0.391076	+	0.515758i
$489$	−25.5866	−	25.6212i	−1.15707	−	1.15863i
$490$	−8.45758	+	20.3085i	−0.382075	+	0.917445i
$491$	2.37506	+	6.99670i	0.107185	+	0.315757i	0.987269	−	0.159062i	$-0.0508470\pi$
$491$	2.37506	+	6.99670i	0.107185	+	0.315757i	−0.880084	+	0.474819i	$0.842514\pi$
$492$	21.7561	+	32.8796i	0.980841	+	1.48233i
$493$	−41.5219	+	20.4763i	−1.87005	+	0.922207i
$494$	0.588796	−	1.72370i	0.0264912	−	0.0775531i
$495$	8.41165	+	0.0113619i	0.378076	+	0.000510681i
$496$	−24.5101	+	6.36699i	−1.10053	+	0.285886i
$497$	15.7542	+	58.7953i	0.706671	+	2.63733i
$498$	−0.599133	−	0.120787i	−0.0268478	−	0.00541259i
$499$	1.81454	−	27.6846i	0.0812301	−	1.23933i	−0.741521	−	0.670930i	$-0.765895\pi$
$499$	1.81454	−	27.6846i	0.0812301	−	1.23933i	0.822751	−	0.568402i	$-0.192438\pi$
$500$	15.3402	+	13.5571i	0.686036	+	0.606293i
$501$	−4.96631	−	5.67072i	−0.221879	−	0.253349i
$502$	−0.519537	−	0.400235i	−0.0231881	−	0.0178634i
$503$	−16.4955	+	6.83266i	−0.735498	+	0.304653i	−0.718809	−	0.695208i	$-0.755312\pi$
$503$	−16.4955	+	6.83266i	−0.735498	+	0.304653i	−0.0166887	+	0.999861i	$0.505312\pi$
$504$	−12.4618	+	35.8743i	−0.555094	+	1.59797i
$505$	0.181978	+	0.0753776i	0.00809790	+	0.00335426i
$506$	6.44336	−	3.70367i	0.286442	−	0.164648i
$507$	−9.85513	−	20.0183i	−0.437682	−	0.889044i
$508$	−6.88657	−	9.04616i	−0.305542	−	0.401358i
$509$	31.2101	−	27.3705i	1.38336	−	1.21318i	0.433249	−	0.901274i	$-0.357367\pi$
$509$	31.2101	−	27.3705i	1.38336	−	1.21318i	0.950114	−	0.311903i	$-0.100966\pi$
$510$	5.95525	−	17.3956i	0.263703	−	0.770291i
$511$	−25.5434	−	14.7475i	−1.12997	−	0.652391i
$512$	22.1134	+	4.79552i	0.977284	+	0.211934i
$513$	−7.49962	+	18.0024i	−0.331116	+	0.794827i
$514$	−1.33994	+	1.52203i	−0.0591022	+	0.0671339i
$515$	3.94257	−	11.6144i	0.173730	−	0.511793i
$516$	−15.0133	−	26.2760i	−0.660922	−	1.15674i
$517$	8.65326	−	17.5471i	0.380570	−	0.771719i
$518$	15.7533	+	0.0301136i	0.692159	+	0.00132311i
$519$	13.1348	−	22.7147i	0.576553	−	0.997063i
$520$	−1.04210	+	0.506499i	−0.0456992	+	0.0222115i
$521$	0.208354	+	0.503010i	0.00912814	+	0.0220373i	0.928378	−	0.371638i	$-0.121204\pi$
$521$	0.208354	+	0.503010i	0.00912814	+	0.0220373i	−0.919250	+	0.393675i	$0.871204\pi$
$522$	−28.8192	−	12.0476i	−1.26138	−	0.527308i
$523$	−16.5593	−	3.29386i	−0.724089	−	0.144030i	−0.180732	−	0.983532i	$-0.557847\pi$
$523$	−16.5593	−	3.29386i	−0.724089	−	0.144030i	−0.543357	+	0.839502i	$0.682847\pi$
$524$	−28.4954	−	5.78142i	−1.24483	−	0.252563i
$525$	−26.2491	+	8.89059i	−1.14560	+	0.388017i
$526$	−7.76004	+	11.5658i	−0.338354	+	0.504293i
$527$	−10.3036	+	38.4534i	−0.448831	+	1.67506i
$528$	14.9823	+	6.35247i	0.652023	+	0.276456i
$529$	4.65728	+	17.3812i	0.202490	+	0.755705i
$530$	−0.283311	−	0.0967756i	−0.0123063	−	0.00420366i
$531$	−24.2242	−	27.6978i	−1.05124	−	1.20198i
$532$	−25.3432	+	22.0545i	−1.09877	+	0.956185i
$533$	−2.93649	−	2.57523i	−0.127193	−	0.111546i
$534$	0.850212	+	1.48145i	0.0367923	+	0.0641085i
$535$	8.08316	+	6.20243i	0.349466	+	0.268154i
$536$	0.579773	+	4.60785i	0.0250424	+	0.199029i
$537$	19.4516	+	0.0131370i	0.839397	+	0.000566902i
$538$	−31.6815	−	8.55396i	−1.36588	−	0.368788i
$539$	−25.4504	+	17.0054i	−1.09623	+	0.732476i
$540$	11.4888	−	4.68026i	0.494397	−	0.201406i
$541$	−5.58762	−	28.0909i	−0.240231	−	1.20772i	−0.892962	−	0.450132i	$-0.851377\pi$
$541$	−5.58762	−	28.0909i	−0.240231	−	1.20772i	0.652732	−	0.757589i	$-0.273623\pi$
$542$	−6.53941	+	13.1970i	−0.280892	+	0.566858i
$543$	−10.6054	+	4.38449i	−0.455119	+	0.188157i
$544$	23.7085	−	26.5187i	1.01649	−	1.13698i
$545$	−9.22537	−	15.9788i	−0.395171	−	0.684457i
$546$	0.255772	−	3.75351i	0.0109460	−	0.160636i
$547$	10.5967	−	31.2169i	0.453083	−	1.33474i	−0.445244	−	0.895409i	$-0.646883\pi$
$547$	10.5967	−	31.2169i	0.453083	−	1.33474i	0.898326	−	0.439329i	$-0.144784\pi$
$548$	−15.2692	+	8.73801i	−0.652268	+	0.373269i
$549$	11.3887	+	10.0149i	0.486060	+	0.427426i
$550$	3.05168	+	11.4767i	0.130124	+	0.489370i
$551$	−16.8215	−	21.9223i	−0.716622	−	0.933920i
$552$	6.72802	−	8.65271i	0.286363	−	0.368284i
$553$	21.2606	−	27.7074i	0.904094	−	1.17824i
$554$	−0.192550	+	0.462354i	−0.00818065	+	0.0196436i
$555$	−3.39033	−	3.87120i	−0.143912	−	0.164323i
$556$	6.00274	+	4.04418i	0.254573	+	0.171511i
$557$	−12.7979	+	19.1535i	−0.542266	+	0.811559i	−0.996864	−	0.0791381i	$-0.974783\pi$
$557$	−12.7979	+	19.1535i	−0.542266	+	0.811559i	0.454597	+	0.890697i	$0.349783\pi$
$558$	−24.1283	+	11.8011i	−1.02143	+	0.499579i
$559$	2.11989	+	2.11989i	0.0896619	+	0.0896619i
$560$	21.3136	+	1.56072i	0.900663	+	0.0659525i
$561$	20.3066	−	15.5600i	0.857346	−	0.656945i
$562$	−14.4223	+	21.4955i	−0.608369	+	0.906731i
$563$	11.4802	+	0.752451i	0.483832	+	0.0317120i	0.305368	−	0.952234i	$-0.401220\pi$
$563$	11.4802	+	0.752451i	0.483832	+	0.0317120i	0.178464	+	0.983946i	$0.442887\pi$
$564$	2.01664	−	28.7834i	0.0849161	−	1.21200i
$565$	−5.95865	−	5.22560i	−0.250682	−	0.219843i
$566$	−4.00011	+	29.9415i	−0.168137	+	1.25853i
$567$	−5.36557	+	39.9218i	−0.225333	+	1.67656i
$568$	32.1062	−	21.1874i	1.34715	−	0.889002i
$569$	−27.3137	−	35.5960i	−1.14505	−	1.49226i	−0.842154	−	0.539237i	$-0.818713\pi$
$569$	−27.3137	−	35.5960i	−1.14505	−	1.49226i	−0.302897	−	0.953023i	$-0.597954\pi$
$570$	10.8767	+	1.46058i	0.455574	+	0.0611769i
$571$	−39.6272	−	19.5420i	−1.65835	−	0.817807i	−0.997748	−	0.0670690i	$-0.978635\pi$
$571$	−39.6272	−	19.5420i	−1.65835	−	0.817807i	−0.660600	−	0.750738i	$-0.729698\pi$
$572$	−1.59753	−	0.216535i	−0.0667959	−	0.00905377i
$573$	14.0079	−	0.908628i	0.585190	−	0.0379585i
$574$	23.0254	+	68.2589i	0.961060	+	2.84907i
$575$	7.99854			0.333562
$576$	23.9980	+	0.307676i	0.999918	+	0.0128198i
$577$	1.38145			0.0575106			0.0287553	−	0.999586i	$-0.490846\pi$
$577$	1.38145			0.0575106			0.0287553	+	0.999586i	$0.490846\pi$
$578$	−10.1893	−	30.2064i	−0.423820	−	1.25642i
$579$	−9.00234	+	18.2239i	−0.374125	+	0.757360i
$580$	−2.36090	+	17.4180i	−0.0980311	+	0.723243i
$581$	−1.00158	−	0.493924i	−0.0415525	−	0.0204914i
$582$	−10.8278	−	26.3332i	−0.448829	−	1.09155i
$583$	−0.253581	−	0.330473i	−0.0105023	−	0.0136868i
$584$	−3.74120	+	18.2604i	−0.154812	+	0.755619i
$585$	−0.976006	+	0.746823i	−0.0403529	+	0.0308773i
$586$	−2.20062	+	16.4720i	−0.0909069	+	0.680452i
$587$	20.9512	+	18.3737i	0.864748	+	0.758364i	0.971779	−	0.235892i	$-0.0758011\pi$
$587$	20.9512	+	18.3737i	0.864748	+	0.758364i	−0.107031	+	0.994256i	$0.534134\pi$
$588$	−25.2482	+	37.4210i	−1.04122	+	1.54322i
$589$	−23.7101	−	1.55404i	−0.976957	−	0.0640332i
$590$	−11.5367	+	17.1946i	−0.474958	+	0.707892i
$591$	0.814278	+	0.337929i	0.0334949	+	0.0139006i
$592$	−3.12790	−	9.45131i	−0.128556	−	0.388446i
$593$	2.18349	+	2.18349i	0.0896651	+	0.0896651i	0.750517	−	0.660852i	$-0.229805\pi$
$593$	2.18349	+	2.18349i	0.0896651	+	0.0896651i	−0.660852	+	0.750517i	$0.729805\pi$
$594$	16.9155	+	3.43400i	0.694052	+	0.140899i
$595$	18.6648	−	27.9339i	0.765183	−	1.14518i
$596$	−11.4378	+	16.9770i	−0.468510	+	0.695405i
$597$	0.0301931	−	0.00598459i	0.00123572	−	0.000244933i
$598$	−0.417442	+	1.00237i	−0.0170705	+	0.0409900i
$599$	9.81939	−	12.7969i	0.401210	−	0.522866i	−0.548436	−	0.836192i	$-0.684777\pi$
$599$	9.81939	−	12.7969i	0.401210	−	0.522866i	0.949646	+	0.313326i	$0.101443\pi$
$600$	10.5726	+	13.9629i	0.431624	+	0.570032i
$601$	23.1152	+	30.1243i	0.942887	+	1.22879i	0.973366	+	0.229258i	$0.0736301\pi$
$601$	23.1152	+	30.1243i	0.942887	+	1.22879i	−0.0304789	+	0.999535i	$0.509703\pi$
$602$	−14.2093	−	53.4382i	−0.579128	−	2.17798i
$603$	1.57708	+	4.66662i	0.0642235	+	0.190039i
$604$	19.6692	+	34.3709i	0.800328	+	1.39853i
$605$	−2.10381	+	6.19762i	−0.0855319	+	0.251969i
$606$	0.335482	+	0.225420i	0.0136280	+	0.00915705i
$607$	−19.9172	−	34.4976i	−0.808414	−	1.40021i	−0.913962	−	0.405800i	$-0.866993\pi$
$607$	−19.9172	−	34.4976i	−0.808414	−	1.40021i	0.105548	−	0.994414i	$-0.466340\pi$
$608$	18.2845	+	10.7909i	0.741533	+	0.437627i
$609$	−45.2561	−	34.7748i	−1.83387	−	1.40915i
$610$	3.78919	−	7.64684i	0.153420	−	0.309611i
$611$	0.557653	+	2.80351i	0.0225602	+	0.113418i
$612$	19.0334	−	32.5765i	0.769381	−	1.31683i
$613$	−23.4029	+	15.6373i	−0.945234	+	0.631585i	−0.929709	−	0.368294i	$-0.879942\pi$
$613$	−23.4029	+	15.6373i	−0.945234	+	0.631585i	−0.0155250	+	0.999879i	$0.504942\pi$
$614$	35.2994	+	9.53081i	1.42457	+	0.384632i
$615$	11.7796	−	20.3711i	0.474999	−	0.821441i
$616$	23.4857	+	18.2361i	0.946265	+	0.734754i
$617$	−9.35477	−	7.17817i	−0.376609	−	0.288982i	0.403061	−	0.915173i	$-0.367946\pi$
$617$	−9.35477	−	7.17817i	−0.376609	−	0.288982i	−0.779670	+	0.626191i	$0.784613\pi$
$618$	12.6405	−	21.7637i	0.508475	−	0.875466i
$619$	−6.54035	−	5.73573i	−0.262879	−	0.230539i	0.517752	−	0.855531i	$-0.326769\pi$
$619$	−6.54035	−	5.73573i	−0.262879	−	0.230539i	−0.780631	+	0.624992i	$0.785102\pi$
$620$	9.92223	+	11.4018i	0.398486	+	0.457906i
$621$	5.16295	−	10.4162i	0.207182	−	0.417986i
$622$	22.7295	+	7.76411i	0.911370	+	0.311313i
$623$	0.807765	+	3.01462i	0.0323624	+	0.120778i
$624$	−2.30160	+	0.596228i	−0.0921377	+	0.0238682i
$625$	−1.46389	+	5.46332i	−0.0585557	+	0.218533i
$626$	−15.1083	+	22.5179i	−0.603850	+	0.899997i
$627$	11.4732	+	10.0755i	0.458197	+	0.402376i
$628$	4.31423	−	21.2639i	0.172157	−	0.848522i
$629$	−15.3498	−	3.05326i	−0.612035	−	0.121741i
$630$	22.4826	−	2.88531i	0.895728	−	0.114953i
$631$	−8.03239	−	19.3919i	−0.319765	−	0.771980i	−0.999266	−	0.0383059i	$-0.987804\pi$
$631$	−8.03239	−	19.3919i	−0.319765	−	0.771980i	0.679501	−	0.733674i	$-0.262196\pi$
$632$	−20.8585	−	7.21417i	−0.829707	−	0.286964i
$633$	19.2043	+	33.3147i	0.763302	+	1.32414i
$634$	32.1017	+	0.0613649i	1.27492	+	0.00243711i
$635$	−3.00128	+	6.08599i	−0.119102	+	0.241515i
$636$	−0.530639	−	0.309556i	−0.0210412	−	0.0122747i
$637$	1.43748	−	4.23469i	0.0569551	−	0.167784i
$638$	−16.1603	+	18.3564i	−0.639794	+	0.726738i
$639$	28.8892	−	28.8113i	1.14284	−	1.13976i
$640$	−3.32059	−	13.0908i	−0.131258	−	0.517460i
$641$	−31.7280	−	18.3182i	−1.25318	−	0.723525i	−0.281441	−	0.959578i	$-0.590813\pi$
$641$	−31.7280	−	18.3182i	−1.25318	−	0.723525i	−0.971740	+	0.236054i	$0.924146\pi$
$642$	13.7441	+	15.7542i	0.542437	+	0.621769i
$643$	16.0768	−	14.0990i	0.634009	−	0.556011i	−0.280867	−	0.959747i	$-0.590622\pi$
$643$	16.0768	−	14.0990i	0.634009	−	0.556011i	0.914875	+	0.403736i	$0.132289\pi$
$644$	15.9350	−	12.1308i	0.627926	−	0.478022i
$645$	−10.0452	+	15.0117i	−0.395528	+	0.591084i
$646$	28.9368	−	16.6330i	1.13850	−	0.654417i
$647$	8.94640	+	3.70572i	0.351719	+	0.145687i	0.551546	−	0.834144i	$-0.314038\pi$
$647$	8.94640	+	3.70572i	0.351719	+	0.145687i	−0.199827	+	0.979831i	$0.564038\pi$
$648$	25.0077	−	4.75539i	0.982396	−	0.186809i
$649$	−26.6170	+	11.0251i	−1.04481	+	0.432774i
$650$	−1.37447	−	1.05885i	−0.0539113	−	0.0415316i
$651$	−48.1407	+	9.54199i	−1.88678	+	0.373980i
$652$	−27.6879	+	31.3295i	−1.08434	+	1.22696i
$653$	−0.330390	+	5.04078i	−0.0129292	+	0.197261i	0.986508	+	0.163713i	$0.0523472\pi$
$653$	−0.330390	+	5.04078i	−0.0129292	+	0.197261i	−0.999437	+	0.0335475i	$0.989319\pi$
$654$	−12.0771	−	35.8827i	−0.472252	−	1.40312i
$655$	4.49162	+	16.7629i	0.175502	+	0.654982i
$656$	36.3283	−	27.4369i	1.41838	−	1.07123i
$657$	−0.0267045	+	19.7703i	−0.00104184	+	0.771314i
$658$	17.0421	−	49.8909i	0.664370	−	1.94495i
$659$	20.2022	−	9.96262i	0.786966	−	0.388089i	−0.00396652	−	0.999992i	$-0.501263\pi$
$659$	20.2022	−	9.96262i	0.786966	−	0.388089i	0.790932	+	0.611903i	$0.209596\pi$
$660$	−0.591651	−	9.69491i	−0.0230300	−	0.377374i
$661$	12.1115	+	35.6794i	0.471083	+	1.38777i	0.879904	+	0.475152i	$0.157607\pi$
$661$	12.1115	+	35.6794i	0.471083	+	1.38777i	−0.408821	+	0.912615i	$0.634060\pi$
$662$	−10.8907	+	26.1509i	−0.423277	+	1.01638i
$663$	−0.969817	+	3.60965i	−0.0376646	+	0.140187i
$664$	−0.0961283	+	0.699160i	−0.00373050	+	0.0271327i
$665$	18.5256	+	7.67356i	0.718392	+	0.297568i
$666$	−5.24981	−	9.16184i	−0.203426	−	0.355014i
$667$	9.15142	+	13.6961i	0.354344	+	0.530314i
$668$	−6.17823	+	6.13117i	−0.239043	+	0.237222i
$669$	−17.8237	+	1.15614i	−0.689102	+	0.0446988i
$670$	2.30771	−	1.53559i	0.0891547	−	0.0593250i
$671$	10.2833	−	5.93707i	0.396983	−	0.229198i
$672$	42.2396	+	11.7826i	1.62943	+	0.454525i
$673$	−37.6755	−	21.7520i	−1.45228	−	0.838477i	−0.453674	−	0.891168i	$-0.649887\pi$
$673$	−37.6755	−	21.7520i	−1.45228	−	0.838477i	−0.998611	+	0.0526909i	$0.983220\pi$
$674$	−4.96548	+	0.315923i	−0.191263	+	0.0121689i
$675$	13.9417	+	12.2766i	0.536614	+	0.472525i
$676$	−22.3618	+	12.7968i	−0.860068	+	0.492186i
$677$	11.9540	−	0.783509i	0.459431	−	0.0301127i	0.166069	−	0.986114i	$-0.446893\pi$
$677$	11.9540	−	0.783509i	0.459431	−	0.0301127i	0.293362	+	0.956001i	$0.405226\pi$
$678$	−9.86677	−	12.9277i	−0.378931	−	0.496487i
$679$	−6.79051	−	51.5790i	−0.260596	−	1.97942i
$680$	−20.4759	−	5.61255i	−0.785215	−	0.215231i
$681$	5.49940	+	20.5796i	0.210738	+	0.788613i
$682$	2.70509	+	20.8552i	0.103583	+	0.798588i
$683$	34.6417	+	6.89065i	1.32553	+	0.263664i	0.806571	−	0.591138i	$-0.201321\pi$
$683$	34.6417	+	6.89065i	1.32553	+	0.263664i	0.518956	+	0.854801i	$0.326321\pi$
$684$	21.2863	+	7.34876i	0.813901	+	0.280987i
$685$	8.73072	+	5.83368i	0.333584	+	0.222893i
$686$	−28.7501	+	25.1161i	−1.09768	+	0.958937i
$687$	−6.01082	−	45.8962i	−0.229327	−	1.75105i
$688$	−29.2027	+	19.1913i	−1.11334	+	0.731661i
$689$	0.0587852	+	0.0157515i	0.00223954	+	0.000600082i
$690$	−6.41294	−	1.29287i	−0.244136	−	0.0492186i
$691$	5.47332	−	2.69914i	0.208215	−	0.102680i	−0.335191	−	0.942150i	$-0.608801\pi$
$691$	5.47332	−	2.69914i	0.208215	−	0.102680i	0.543406	+	0.839470i	$0.317134\pi$
$692$	−27.1221	−	13.5043i	−1.03103	−	0.513356i
$693$	28.2668	+	13.9871i	1.07377	+	0.531327i
$694$	−20.4486	−	2.73188i	−0.776218	−	0.103701i
$695$	0.563880	−	4.28309i	0.0213892	−	0.162467i
$696$	−11.8124	+	34.0791i	−0.447750	+	1.29176i
$697$	−9.34146	−	70.9554i	−0.353833	−	2.68763i
$698$	−7.98156	−	0.0152574i	−0.302106	−	0.000577499i
$699$	−5.27723	−	3.53129i	−0.199603	−	0.133566i
$700$	12.1332	+	29.6118i	0.458592	+	1.11922i
$701$	−3.51659	−	17.6791i	−0.132820	−	0.667730i	−0.988621	−	0.150426i	$-0.951936\pi$
$701$	−3.51659	−	17.6791i	−0.132820	−	0.667730i	0.855802	−	0.517304i	$-0.173064\pi$
$702$	−2.26610	+	1.10645i	−0.0855285	+	0.0417601i
$703$		−	9.34115i		−	0.352308i
$704$	6.24383	−	17.7233i	0.235323	−	0.667970i
$705$	−15.9153	+	6.57975i	−0.599405	+	0.247808i
$706$	5.62175	−	27.9828i	0.211577	−	1.05315i
$707$	0.486933	+	0.555241i	0.0183130	+	0.0208820i
$708$	−30.1791	+	29.9088i	−1.13420	+	1.12404i
$709$	15.6357	−	1.02482i	0.587212	−	0.0384879i	0.231098	−	0.972930i	$-0.425768\pi$
$709$	15.6357	−	1.02482i	0.587212	−	0.0384879i	0.356114	+	0.934443i	$0.384102\pi$
$710$	−19.8615	−	11.5177i	−0.745387	−	0.432251i
$711$	−23.2052	−	3.08692i	−0.870264	−	0.115769i
$712$	1.64618	−	1.08634i	0.0616934	−	0.0407124i
$713$	14.0431	+	1.84881i	0.525919	+	0.0692385i
$714$	48.8724	−	48.6202i	1.82900	−	1.81957i
$715$	0.309295	+	0.911153i	0.0115670	+	0.0340752i
$716$	−1.38330	−	22.4181i	−0.0516965	−	0.837803i
$717$	−3.99016	−	11.7808i	−0.149015	−	0.439961i
$718$	0.233727	−	3.46450i	0.00872262	−	0.129294i
$719$	−35.9827	−	35.9827i	−1.34193	−	1.34193i	−0.894140	−	0.447788i	$-0.852212\pi$
$719$	−35.9827	−	35.9827i	−1.34193	−	1.34193i	−0.447788	−	0.894140i	$-0.647788\pi$
$720$	−6.21978	−	12.9039i	−0.231797	−	0.480898i
$721$	32.5176	−	32.5176i	1.21102	−	1.21102i
$722$	−4.57174	−	5.23322i	−0.170143	−	0.194760i
$723$	36.6301	+	32.1676i	1.36229	+	1.19632i
$724$	5.81541	+	11.9070i	0.216128	+	0.442521i
$725$	−24.9240	+	8.46055i	−0.925653	+	0.314217i
$726$	−6.74513	+	11.6134i	−0.250335	+	0.431015i
$727$	−4.72878	+	35.9186i	−0.175381	+	1.33215i	0.646686	+	0.762757i	$0.276155\pi$
$727$	−4.72878	+	35.9186i	−0.175381	+	1.33215i	−0.822066	+	0.569392i	$0.807179\pi$
$728$	−4.34416	−	0.0249128i	−0.161005	−	0.000923331i
$729$	24.9864	−	10.2313i	0.925423	−	0.378937i
$730$	10.7517	−	2.85888i	0.397937	−	0.105812i
$731$	3.59287	+	54.8166i	0.132887	+	2.02747i
$732$	10.7230	−	13.8451i	0.396333	−	0.511729i
$733$	−33.4352	+	29.3219i	−1.23496	+	1.08303i	−0.241315	+	0.970447i	$0.577579\pi$
$733$	−33.4352	+	29.3219i	−1.23496	+	1.08303i	−0.993642	+	0.112582i	$0.964088\pi$
$734$	−6.97572	+	4.64176i	−0.257478	+	0.171331i
$735$	26.7106	+	3.53487i	0.985234	+	0.130386i
$736$	−10.4556	−	7.13170i	−0.385399	−	0.262878i
$737$	3.85676			0.142066
$738$	31.9558	−	36.1997i	1.17631	−	1.33253i
$739$	38.7601	−	7.70985i	1.42581	−	0.283612i	0.578923	−	0.815382i	$-0.303473\pi$
$739$	38.7601	−	7.70985i	1.42581	−	0.283612i	0.846888	+	0.531771i	$0.178473\pi$
$740$	−4.21766	+	4.18554i	−0.155044	+	0.153863i
$741$	−2.22599	−	0.147409i	−0.0817737	−	0.00541520i
$742$	−0.792201	−	0.795235i	−0.0290826	−	0.0291940i
$743$	−19.8025	+	2.60705i	−0.726482	+	0.0956432i	−0.484691	−	0.874685i	$-0.661068\pi$
$743$	−19.8025	+	2.60705i	−0.726482	+	0.0956432i	−0.241791	+	0.970328i	$0.577735\pi$
$744$	15.3349	+	26.9585i	0.562206	+	0.988347i
$745$	12.1135	+	1.59477i	0.443804	+	0.0584279i
$746$	−19.0062	+	14.5263i	−0.695866	+	0.531847i
$747$	0.0479484	+	0.747011i	0.00175434	+	0.0273317i
$748$	−19.3922	−	22.2839i	−0.709050	−	0.814780i
$749$	16.8956	+	34.2609i	0.617352	+	1.25187i
$750$	11.1478	−	22.4589i	0.407061	−	0.820083i
$751$	−12.9338	+	48.2696i	−0.471961	+	1.76138i	0.160751	+	0.986995i	$0.448609\pi$
$751$	−12.9338	+	48.2696i	−0.471961	+	1.76138i	−0.632712	+	0.774388i	$0.718058\pi$
$752$	−33.3168	−	0.254755i	−1.21494	−	0.00928995i
$753$	−0.307880	+	0.741869i	−0.0112198	+	0.0270352i
$754$	0.240508	−	3.56501i	0.00875879	−	0.129830i
$755$	13.1316	−	19.6528i	0.477907	−	0.715238i
$756$	46.3941	+	3.31347i	1.68734	+	0.120510i
$757$	6.62103	−	33.2862i	0.240646	−	1.20981i	−0.651708	−	0.758470i	$-0.725947\pi$
$757$	6.62103	−	33.2862i	0.240646	−	1.20981i	0.892354	−	0.451337i	$-0.149053\pi$
$758$	5.28933	−	6.86598i	0.192117	−	0.249384i
$759$	−6.43192	−	6.44061i	−0.233464	−	0.233779i
$760$	0.901293	−	12.6400i	0.0326933	−	0.458499i
$761$	16.7543	−	2.20574i	0.607341	−	0.0799580i	0.179418	−	0.983773i	$-0.442579\pi$
$761$	16.7543	−	2.20574i	0.607341	−	0.0799580i	0.427923	+	0.903815i	$0.359245\pi$
$762$	−8.50514	+	11.0249i	−0.308109	+	0.399391i
$763$	−4.52445	−	69.0297i	−0.163796	−	2.49904i
$764$	−2.05424	−	16.0783i	−0.0743198	−	0.581691i
$765$	−22.4688	−	1.50317i	−0.812363	−	0.0543472i
$766$	−28.1379	−	24.7716i	−1.01666	−	0.895035i
$767$	2.10459	−	3.64526i	0.0759925	−	0.131623i
$768$	−1.37072	−	27.6789i	−0.0494617	−	0.998776i
$769$	2.67548	+	4.63406i	0.0964802	+	0.167109i	0.910225	−	0.414113i	$-0.135908\pi$
$769$	2.67548	+	4.63406i	0.0964802	+	0.167109i	−0.813745	+	0.581222i	$0.802575\pi$
$770$	3.49558	−	17.3996i	0.125972	−	0.627038i

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:	\( N \)	\(=\)	\( 576 = 2^{6} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	576.bl (of order \(48\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.34003 + 0.452023i) q^{2} +(0.961303 + 1.44080i) q^{3} +(1.59135 - 1.21145i) q^{4} +(-1.07061 - 0.527968i) q^{5} +(-1.93945 - 1.49618i) q^{6} +(-2.72460 - 3.55077i) q^{7} +(-1.58485 + 2.34270i) q^{8} +(-1.15179 + 2.77009i) q^{9} +O(q^{10})\)	\(q+(-1.34003 + 0.452023i) q^{2} +(0.961303 + 1.44080i) q^{3} +(1.59135 - 1.21145i) q^{4} +(-1.07061 - 0.527968i) q^{5} +(-1.93945 - 1.49618i) q^{6} +(-2.72460 - 3.55077i) q^{7} +(-1.58485 + 2.34270i) q^{8} +(-1.15179 + 2.77009i) q^{9} +(1.67331 + 0.223550i) q^{10} +(1.76597 + 1.54872i) q^{11} +(3.27522 + 1.12824i) q^{12} +(-0.342438 - 0.0224446i) q^{13} +(5.25607 + 3.52654i) q^{14} +(-0.268489 - 2.05008i) q^{15} +(1.06479 - 3.85567i) q^{16} +(-4.44644 - 4.44644i) q^{17} +(0.291292 - 4.23263i) q^{18} +(2.08516 - 3.12066i) q^{19} +(-2.34333 + 0.456811i) q^{20} +(2.49677 - 7.33896i) q^{21} +(-3.06651 - 1.27706i) q^{22} +(-1.36200 + 1.77499i) q^{23} +(-4.89888 - 0.0314027i) q^{24} +(-2.17634 - 2.83627i) q^{25} +(0.469022 - 0.124714i) q^{26} +(-5.09835 + 1.00339i) q^{27} +(-8.63736 - 2.34980i) q^{28} +(2.36656 - 6.97167i) q^{29} +(1.28646 + 2.62580i) q^{30} +(-3.16544 - 5.48271i) q^{31} +(0.316008 + 5.64802i) q^{32} +(-0.533751 + 4.03319i) q^{33} +(7.96824 + 3.94846i) q^{34} +(1.04230 + 5.24000i) q^{35} +(1.52291 + 5.80351i) q^{36} +(2.06941 - 1.38274i) q^{37} +(-1.38356 + 5.12431i) q^{38} +(-0.296849 - 0.514960i) q^{39} +(2.93364 - 1.67138i) q^{40} +(9.02935 + 6.92847i) q^{41} +(-0.0283607 + 10.9630i) q^{42} +(-6.56813 - 5.76009i) q^{43} +(4.68647 + 0.325166i) q^{44} +(2.69564 - 2.35758i) q^{45} +(1.02278 - 2.99420i) q^{46} +(-2.15582 - 8.04561i) q^{47} +(6.57883 - 2.17233i) q^{48} +(-3.37277 + 12.5874i) q^{49} +(4.19842 + 2.81692i) q^{50} +(2.13204 - 10.6808i) q^{51} +(-0.572129 + 0.379129i) q^{52} +(-0.173934 - 0.0345977i) q^{53} +(6.37838 - 3.64915i) q^{54} +(-1.07300 - 2.59045i) q^{55} +(12.6365 - 0.755486i) q^{56} +(6.50070 + 0.00439037i) q^{57} +(-0.0199033 + 10.4120i) q^{58} +(-5.42489 + 11.0006i) q^{59} +(-2.91082 - 2.93713i) q^{60} +(1.62496 - 4.78699i) q^{61} +(6.72009 + 5.91613i) q^{62} +(12.9741 - 3.45762i) q^{63} +(-2.97650 - 7.42566i) q^{64} +(0.354769 + 0.204826i) q^{65} +(-1.10785 - 5.64586i) q^{66} +(1.23450 - 1.08262i) q^{67} +(-12.4625 - 1.68921i) q^{68} +(-3.86670 - 0.256060i) q^{69} +(-3.76532 - 6.55061i) q^{70} +(-12.5649 - 5.20455i) q^{71} +(-4.66406 - 7.08848i) q^{72} +(6.08847 - 2.52193i) q^{73} +(-2.14804 + 2.78833i) q^{74} +(1.99436 - 5.86218i) q^{75} +(-0.462300 - 7.49211i) q^{76} +(0.687563 - 10.4902i) q^{77} +(0.630559 + 0.555878i) q^{78} +(2.01962 + 7.53733i) q^{79} +(-3.17565 + 3.56576i) q^{80} +(-6.34675 - 6.38113i) q^{81} +(-15.2314 - 5.20286i) q^{82} +(0.223784 - 0.110358i) q^{83} +(-4.91753 - 14.7036i) q^{84} +(2.41284 + 7.10800i) q^{85} +(11.4052 + 4.74974i) q^{86} +(12.3198 - 3.29215i) q^{87} +(-6.42698 + 1.68266i) q^{88} +(-0.644241 - 0.266853i) q^{89} +(-2.54656 + 4.37772i) q^{90} +(0.853311 + 1.27707i) q^{91} +(-0.0171073 + 4.47463i) q^{92} +(4.85652 - 9.83130i) q^{93} +(6.52566 + 9.80687i) q^{94} +(-3.88001 + 2.24012i) q^{95} +(-7.83387 + 5.88476i) q^{96} +(10.0665 + 5.81191i) q^{97} +(-1.17017 - 18.3920i) q^{98} +(-6.32411 + 3.10809i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) 1504 * q - 24 * q^2 - 16 * q^3 - 8 * q^4 - 24 * q^5 - 16 * q^6 - 8 * q^7 - 16 * q^9	\( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) 1504 * q - 24 * q^2 - 16 * q^3 - 8 * q^4 - 24 * q^5 - 16 * q^6 - 8 * q^7 - 16 * q^9 - 32 * q^10 - 24 * q^11 - 16 * q^12 - 8 * q^13 - 24 * q^14 - 16 * q^15 - 8 * q^16 - 16 * q^18 - 32 * q^19 - 24 * q^20 - 16 * q^21 - 8 * q^22 - 24 * q^23 - 96 * q^24 - 8 * q^25 - 16 * q^27 - 32 * q^28 - 24 * q^29 + 64 * q^30 - 16 * q^31 - 24 * q^32 - 8 * q^34 + 64 * q^36 - 32 * q^37 - 24 * q^38 - 16 * q^39 - 8 * q^40 - 24 * q^41 - 96 * q^42 - 8 * q^43 - 16 * q^45 - 32 * q^46 - 24 * q^47 - 16 * q^48 - 8 * q^49 - 24 * q^50 - 16 * q^51 - 8 * q^52 - 16 * q^54 - 32 * q^55 - 24 * q^56 - 16 * q^57 + 64 * q^58 - 24 * q^59 - 16 * q^60 - 8 * q^61 - 32 * q^64 - 48 * q^65 - 8 * q^67 - 24 * q^68 - 16 * q^69 - 8 * q^70 - 16 * q^72 - 32 * q^73 - 24 * q^74 - 16 * q^75 - 56 * q^76 - 24 * q^77 - 40 * q^78 - 8 * q^79 - 16 * q^81 - 32 * q^82 - 24 * q^83 - 128 * q^84 - 8 * q^85 - 24 * q^86 - 16 * q^87 - 8 * q^88 - 160 * q^90 - 32 * q^91 - 480 * q^92 + 8 * q^93 - 8 * q^94 - 48 * q^95 - 152 * q^96 - 16 * q^99

Introduction

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