LMFDB - Embedded newform 966.2.bd.a.59.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(59,966)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 11, 42]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("966.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.bd (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$1280$
Relative dimension:	$64$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			59.11
Character	$\chi$	$=$	966.59
Dual form			966.2.bd.a.131.11

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.945001 - 0.327068i) q^{2} +(-0.755746 + 1.55848i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.102884 + 0.00982421i) q^{5} +(1.22391 - 1.22558i) q^{6} +(2.61358 - 0.411367i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-1.85770 - 2.35562i) q^{9} +O(q^{10})$	\(q+(-0.945001 - 0.327068i) q^{2} +(-0.755746 + 1.55848i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.102884 + 0.00982421i) q^{5} +(1.22391 - 1.22558i) q^{6} +(2.61358 - 0.411367i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-1.85770 - 2.35562i) q^{9} +(0.100438 + 0.0243661i) q^{10} +(0.807905 - 0.279619i) q^{11} +(-1.55744 + 0.757874i) q^{12} +(-0.875051 - 2.98015i) q^{13} +(-2.60438 - 0.466074i) q^{14} +(0.0624432 - 0.167766i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-1.14675 - 0.459088i) q^{17} +(0.985075 + 2.83366i) q^{18} +(-1.95678 - 4.88781i) q^{19} +(-0.0869450 - 0.0558762i) q^{20} +(-1.33409 + 4.38408i) q^{21} -0.854925 q^{22} +(-1.86224 - 4.41951i) q^{23} +(1.71966 - 0.206802i) q^{24} +(-4.89915 + 0.944235i) q^{25} +(-0.147788 + 3.10245i) q^{26} +(5.07513 - 1.11492i) q^{27} +(2.30870 + 1.29225i) q^{28} +(-0.403877 + 0.0580688i) q^{29} +(-0.113880 + 0.138116i) q^{30} +(-4.13970 + 0.197198i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(-0.174792 + 1.47042i) q^{33} +(0.933523 + 0.808902i) q^{34} +(-0.264853 + 0.0679993i) q^{35} +(-0.00409778 - 3.00000i) q^{36} +(-2.03867 + 2.86291i) q^{37} +(0.250516 + 5.25898i) q^{38} +(5.30581 + 0.888490i) q^{39} +(0.0638878 + 0.0812399i) q^{40} +(1.89192 - 4.14273i) q^{41} +(2.69461 - 3.70662i) q^{42} +(-4.42730 - 2.84526i) q^{43} +(0.807905 + 0.279619i) q^{44} +(0.214269 + 0.224105i) q^{45} +(0.314338 + 4.78552i) q^{46} +(-1.01671 - 1.76099i) q^{47} +(-1.69272 - 0.367018i) q^{48} +(6.66155 - 2.15028i) q^{49} +(4.93853 + 0.710054i) q^{50} +(1.58213 - 1.44022i) q^{51} +(1.15437 - 2.88348i) q^{52} +(1.77815 + 1.86487i) q^{53} +(-5.16066 - 0.606310i) q^{54} +(-0.0803733 + 0.0367053i) q^{55} +(-1.75907 - 1.97628i) q^{56} +(9.09636 + 0.644340i) q^{57} +(0.400657 + 0.0772202i) q^{58} +(0.909602 - 3.74943i) q^{59} +(0.152790 - 0.0932735i) q^{60} +(2.00358 - 3.88641i) q^{61} +(3.97651 + 1.16761i) q^{62} +(-5.82426 - 5.39241i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(0.119306 + 0.298012i) q^{65} +(0.646106 - 1.33238i) q^{66} +(2.98747 - 0.575788i) q^{67} +(-0.617614 - 1.06974i) q^{68} +(8.29508 + 0.437771i) q^{69} +(0.272527 + 0.0223655i) q^{70} +(4.00918 - 3.47397i) q^{71} +(-0.977331 + 2.83634i) q^{72} +(4.19681 - 5.33667i) q^{73} +(2.86291 - 2.03867i) q^{74} +(2.23095 - 8.34882i) q^{75} +(1.48331 - 5.05168i) q^{76} +(1.99650 - 1.06315i) q^{77} +(-4.72340 - 2.57499i) q^{78} +(-3.52415 - 3.36027i) q^{79} +(-0.0338030 - 0.0976675i) q^{80} +(-2.09793 + 8.75207i) q^{81} +(-3.14282 + 3.29610i) q^{82} +(-0.554154 - 1.21343i) q^{83} +(-3.75873 + 2.62144i) q^{84} +(0.122492 + 0.0359668i) q^{85} +(3.25321 + 4.13680i) q^{86} +(0.214730 - 0.673318i) q^{87} +(-0.672017 - 0.528480i) q^{88} +(0.413948 - 8.68983i) q^{89} +(-0.129187 - 0.281860i) q^{90} +(-3.51295 - 7.42888i) q^{91} +(1.26814 - 4.62513i) q^{92} +(2.82123 - 6.60065i) q^{93} +(0.384825 + 1.99666i) q^{94} +(0.249340 + 0.483652i) q^{95} +(1.47958 + 0.900466i) q^{96} +(4.26931 + 1.94973i) q^{97} +(-6.99846 - 0.146765i) q^{98} +(-2.15952 - 1.38367i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) $ 1280 * q - 64 * q^4 + 4 * q^9	$ 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) $ 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$3$	−0.755746	+	1.55848i	−0.436330	+	0.899787i
$3$	−0.755746	+	1.55848i	−0.436330	+	0.899787i
$4$	0.786053	+	0.618159i	0.393027	+	0.309079i
$5$	−0.102884	+	0.00982421i	−0.0460110	+	0.00439352i	−0.118036	−	0.993009i	$-0.537660\pi$
$5$	−0.102884	+	0.00982421i	−0.0460110	+	0.00439352i	0.0720252	+	0.997403i	$0.477054\pi$
$6$	1.22391	−	1.22558i	0.499658	−	0.500341i
$7$	2.61358	−	0.411367i	0.987839	−	0.155482i
$7$	2.61358	−	0.411367i	0.987839	−	0.155482i
$8$	−0.540641	−	0.841254i	−0.191145	−	0.297428i
$9$	−1.85770	−	2.35562i	−0.619232	−	0.785208i
$10$	0.100438	+	0.0243661i	0.0317614	+	0.00770524i
$11$	0.807905	−	0.279619i	0.243593	−	0.0843082i	−0.202544	−	0.979273i	$-0.564921\pi$
$11$	0.807905	−	0.279619i	0.243593	−	0.0843082i	0.446136	+	0.894965i	$0.352800\pi$
$12$	−1.55744	+	0.757874i	−0.449595	+	0.218779i
$13$	−0.875051	−	2.98015i	−0.242696	−	0.826545i	−0.987276	−	0.159013i	$-0.949169\pi$
$13$	−0.875051	−	2.98015i	−0.242696	−	0.826545i	0.744581	−	0.667532i	$-0.232649\pi$
$14$	−2.60438	−	0.466074i	−0.696049	−	0.124564i
$15$	0.0624432	−	0.167766i	0.0161228	−	0.0433171i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	−1.14675	−	0.459088i	−0.278127	−	0.111345i	0.228406	−	0.973566i	$-0.426649\pi$
$17$	−1.14675	−	0.459088i	−0.278127	−	0.111345i	−0.506532	+	0.862221i	$0.669073\pi$
$18$	0.985075	+	2.83366i	0.232184	+	0.667900i
$19$	−1.95678	−	4.88781i	−0.448917	−	1.12134i	−0.964402	−	0.264441i	$-0.914813\pi$
$19$	−1.95678	−	4.88781i	−0.448917	−	1.12134i	0.515485	−	0.856898i	$-0.327612\pi$
$20$	−0.0869450	−	0.0558762i	−0.0194415	−	0.0124943i
$21$	−1.33409	+	4.38408i	−0.291123	+	0.956686i
$22$	−0.854925			−0.182271
$23$	−1.86224	−	4.41951i	−0.388304	−	0.921531i
$23$	−1.86224	−	4.41951i	−0.388304	−	0.921531i
$24$	1.71966	−	0.206802i	0.351024	−	0.0422133i
$25$	−4.89915	+	0.944235i	−0.979831	+	0.188847i
$26$	−0.147788	+	3.10245i	−0.0289836	+	0.608440i
$27$	5.07513	−	1.11492i	0.976709	−	0.214567i
$28$	2.30870	+	1.29225i	0.436303	+	0.244212i
$29$	−0.403877	+	0.0580688i	−0.0749981	+	0.0107831i	−0.179712	−	0.983719i	$-0.557516\pi$
$29$	−0.403877	+	0.0580688i	−0.0749981	+	0.0107831i	0.104714	+	0.994502i	$0.466607\pi$
$30$	−0.113880	+	0.138116i	−0.0207915	+	0.0252165i
$31$	−4.13970	+	0.197198i	−0.743512	+	0.0354178i	−0.415919	−	0.909401i	$-0.636540\pi$
$31$	−4.13970	+	0.197198i	−0.743512	+	0.0354178i	−0.327592	+	0.944819i	$0.606237\pi$
$32$	0.0950560	−	0.995472i	0.0168037	−	0.175976i
$33$	−0.174792	+	1.47042i	−0.0304274	+	0.255968i
$34$	0.933523	+	0.808902i	0.160098	+	0.138726i
$35$	−0.264853	+	0.0679993i	−0.0447683	+	0.0114940i
$36$	−0.00409778	−	3.00000i	−0.000682964	−	0.500000i
$37$	−2.03867	+	2.86291i	−0.335155	+	0.470659i	−0.947420	−	0.319994i	$-0.896319\pi$
$37$	−2.03867	+	2.86291i	−0.335155	+	0.470659i	0.612265	+	0.790653i	$0.290259\pi$
$38$	0.250516	+	5.25898i	0.0406391	+	0.853119i
$39$	5.30581	+	0.888490i	0.849610	+	0.142272i
$40$	0.0638878	+	0.0812399i	0.0101015	+	0.0128452i
$41$	1.89192	−	4.14273i	0.295468	−	0.646986i	−0.702432	−	0.711751i	$-0.747903\pi$
$41$	1.89192	−	4.14273i	0.295468	−	0.646986i	0.997901	+	0.0647652i	$0.0206298\pi$
$42$	2.69461	−	3.70662i	0.415788	−	0.571945i
$43$	−4.42730	−	2.84526i	−0.675158	−	0.433897i	0.157624	−	0.987499i	$-0.449617\pi$
$43$	−4.42730	−	2.84526i	−0.675158	−	0.433897i	−0.832782	+	0.553602i	$0.813253\pi$
$44$	0.807905	+	0.279619i	0.121796	+	0.0421541i
$45$	0.214269	+	0.224105i	0.0319413	+	0.0334076i
$46$	0.314338	+	4.78552i	0.0463465	+	0.705586i
$47$	−1.01671	−	1.76099i	−0.148302	−	0.256866i	0.782298	−	0.622904i	$-0.214047\pi$
$47$	−1.01671	−	1.76099i	−0.148302	−	0.256866i	−0.930600	+	0.366038i	$0.880714\pi$
$48$	−1.69272	−	0.367018i	−0.244323	−	0.0529745i
$49$	6.66155	−	2.15028i	0.951651	−	0.307183i
$50$	4.93853	+	0.710054i	0.698414	+	0.100417i
$51$	1.58213	−	1.44022i	0.221542	−	0.201671i
$52$	1.15437	−	2.88348i	0.160082	−	0.399867i
$53$	1.77815	+	1.86487i	0.244248	+	0.256159i	0.834434	−	0.551107i	$-0.185794\pi$
$53$	1.77815	+	1.86487i	0.244248	+	0.256159i	−0.590187	+	0.807267i	$0.700946\pi$
$54$	−5.16066	−	0.606310i	−0.702277	−	0.0825083i
$55$	−0.0803733	+	0.0367053i	−0.0108375	+	0.00494933i
$56$	−1.75907	−	1.97628i	−0.235066	−	0.264091i
$57$	9.09636	+	0.644340i	1.20484	+	0.0853450i
$58$	0.400657	+	0.0772202i	0.0526088	+	0.0101395i
$59$	0.909602	−	3.74943i	0.118420	−	0.488134i	−0.881454	−	0.472270i	$-0.843435\pi$
$59$	0.909602	−	3.74943i	0.118420	−	0.488134i	0.999874	−	0.0158644i	$-0.00505000\pi$
$60$	0.152790	−	0.0932735i	0.0197251	−	0.0120416i
$61$	2.00358	−	3.88641i	0.256532	−	0.497604i	−0.725037	−	0.688710i	$-0.758177\pi$
$61$	2.00358	−	3.88641i	0.256532	−	0.497604i	0.981569	+	0.191107i	$0.0612076\pi$
$62$	3.97651	+	1.16761i	0.505018	+	0.148287i
$63$	−5.82426	−	5.39241i	−0.733787	−	0.679379i
$64$	−0.415415	+	0.909632i	−0.0519269	+	0.113704i
$65$	0.119306	+	0.298012i	0.0147981	+	0.0369639i
$66$	0.646106	−	1.33238i	0.0795302	−	0.164005i
$67$	2.98747	−	0.575788i	0.364978	−	0.0703437i	−0.00346525	−	0.999994i	$-0.501103\pi$
$67$	2.98747	−	0.575788i	0.364978	−	0.0703437i	0.368443	+	0.929650i	$0.379891\pi$
$68$	−0.617614	−	1.06974i	−0.0748967	−	0.129725i
$69$	8.29508	+	0.437771i	0.998610	+	0.0527014i
$70$	0.272527	+	0.0223655i	0.0325732	+	0.00267319i
$71$	4.00918	−	3.47397i	0.475802	−	0.412285i	−0.383668	−	0.923471i	$-0.625339\pi$
$71$	4.00918	−	3.47397i	0.475802	−	0.412285i	0.859470	+	0.511186i	$0.170794\pi$
$72$	−0.977331	+	2.83634i	−0.115180	+	0.334266i
$73$	4.19681	−	5.33667i	0.491199	−	0.624610i	−0.475750	−	0.879581i	$-0.657823\pi$
$73$	4.19681	−	5.33667i	0.491199	−	0.624610i	0.966949	+	0.254970i	$0.0820657\pi$
$74$	2.86291	−	2.03867i	0.332806	−	0.236990i
$75$	2.23095	−	8.34882i	0.257608	−	0.964038i
$76$	1.48331	−	5.05168i	0.170147	−	0.579467i
$77$	1.99650	−	1.06315i	0.227522	−	0.121157i
$78$	−4.72340	−	2.57499i	−0.534820	−	0.291560i
$79$	−3.52415	−	3.36027i	−0.396498	−	0.378060i	0.465435	−	0.885082i	$-0.345898\pi$
$79$	−3.52415	−	3.36027i	−0.396498	−	0.378060i	−0.861933	+	0.507022i	$0.830746\pi$
$80$	−0.0338030	−	0.0976675i	−0.00377929	−	0.0109196i
$81$	−2.09793	+	8.75207i	−0.233103	+	0.972452i
$82$	−3.14282	+	3.29610i	−0.347066	+	0.363993i
$83$	−0.554154	−	1.21343i	−0.0608263	−	0.133191i	0.876778	−	0.480896i	$-0.159688\pi$
$83$	−0.554154	−	1.21343i	−0.0608263	−	0.133191i	−0.937604	+	0.347705i	$0.886961\pi$
$84$	−3.75873	+	2.62144i	−0.410111	+	0.286023i
$85$	0.122492	+	0.0359668i	0.0132861	+	0.00390115i
$86$	3.25321	+	4.13680i	0.350803	+	0.446082i
$87$	0.214730	−	0.673318i	0.0230214	−	0.0721873i
$88$	−0.672017	−	0.528480i	−0.0716372	−	0.0563361i
$89$	0.413948	−	8.68983i	0.0438784	−	0.921120i	−0.864413	−	0.502782i	$-0.832310\pi$
$89$	0.413948	−	8.68983i	0.0438784	−	0.921120i	0.908291	−	0.418338i	$-0.137387\pi$
$90$	−0.129187	−	0.281860i	−0.0136175	−	0.0297106i
$91$	−3.51295	−	7.42888i	−0.368257	−	0.778759i
$92$	1.26814	−	4.62513i	0.132213	−	0.482203i
$93$	2.82123	−	6.60065i	0.292548	−	0.684456i
$94$	0.384825	+	1.99666i	0.0396917	+	0.205940i
$95$	0.249340	+	0.483652i	0.0255817	+	0.0496216i
$96$	1.47958	+	0.900466i	0.151009	+	0.0919035i
$97$	4.26931	+	1.94973i	0.433483	+	0.197965i	0.620192	−	0.784450i	$-0.287055\pi$
$97$	4.26931	+	1.94973i	0.433483	+	0.197965i	−0.186709	+	0.982415i	$0.559782\pi$
$98$	−6.99846	−	0.146765i	−0.706951	−	0.0148255i
$99$	−2.15952	−	1.38367i	−0.217040	−	0.139065i
$100$	−4.43468	−	2.28624i	−0.443468	−	0.228624i
$101$	13.8914	+	1.32647i	1.38225	+	0.131988i	0.759536	−	0.650465i	$-0.225426\pi$
$101$	13.8914	+	1.32647i	1.38225	+	0.131988i	0.622709	+	0.782453i	$0.286032\pi$
$102$	−1.96616	+	0.843549i	−0.194679	+	0.0835238i
$103$	2.31743	−	12.0240i	0.228343	−	1.18476i	−0.668945	−	0.743312i	$-0.733254\pi$
$103$	2.31743	−	12.0240i	0.228343	−	1.18476i	0.897288	−	0.441445i	$-0.145534\pi$
$104$	−2.03397	+	2.34733i	−0.199448	+	0.230175i
$105$	0.0941863	−	0.464157i	0.00919164	−	0.0452971i
$106$	−1.07041	−	2.34388i	−0.103968	−	0.227658i
$107$	−5.48804	+	10.6453i	−0.530548	+	1.02912i	0.459471	+	0.888193i	$0.348039\pi$
$107$	−5.48804	+	10.6453i	−0.530548	+	1.02912i	−0.990020	+	0.140928i	$0.954991\pi$
$108$	4.67852	+	2.26085i	0.450191	+	0.217550i
$109$	−3.98027	−	1.59346i	−0.381241	−	0.152626i	0.173123	−	0.984900i	$-0.444614\pi$
$109$	−3.98027	−	1.59346i	−0.381241	−	0.152626i	−0.554364	+	0.832274i	$0.687038\pi$
$110$	0.0879579	−	0.00839896i	0.00838646	−	0.000800810i
$111$	−2.92106	−	5.34085i	−0.277255	−	0.506931i
$112$	1.01595	+	2.44292i	0.0959978	+	0.230834i
$113$	7.11008	−	6.16092i	0.668860	−	0.579570i	−0.252824	−	0.967512i	$-0.581359\pi$
$113$	7.11008	−	6.16092i	0.668860	−	0.579570i	0.921684	+	0.387942i	$0.126814\pi$
$114$	−8.38532	−	3.58403i	−0.785357	−	0.335675i
$115$	0.235012	+	0.436401i	0.0219150	+	0.0406946i
$116$	−0.353365	−	0.204015i	−0.0328091	−	0.0189423i
$117$	−5.39454	+	7.59751i	−0.498725	+	0.702390i
$118$	−2.08589	+	3.24571i	−0.192022	+	0.298792i
$119$	−3.18596	−	0.728127i	−0.292056	−	0.0667473i
$120$	−0.174893	+	0.0381709i	−0.0159655	+	0.00348451i
$121$	−8.07206	+	6.34794i	−0.733824	+	0.577085i
$122$	−3.16451	+	3.01735i	−0.286501	+	0.273178i
$123$	5.02653	+	6.07936i	0.453227	+	0.548158i
$124$	−3.37592	−	2.40398i	−0.303167	−	0.215884i
$125$	0.990593	−	0.290864i	0.0886014	−	0.0260157i
$126$	3.74024	+	7.00076i	0.333207	+	0.623677i
$127$	−7.22602	+	8.33928i	−0.641206	+	0.739991i	−0.979588	−	0.201018i	$-0.935575\pi$
$127$	−7.22602	+	8.33928i	−0.641206	+	0.739991i	0.338382	+	0.941009i	$0.390121\pi$
$128$	0.690079	−	0.723734i	0.0609949	−	0.0639697i
$129$	7.78018	−	4.74956i	0.685007	−	0.418175i
$130$	−0.0152741	−	0.320643i	−0.00133963	−	0.0281223i
$131$	2.19225	+	9.03658i	0.191538	+	0.789530i	0.983788	+	0.179334i	$0.0573942\pi$
$131$	2.19225	+	9.03658i	0.191538	+	0.789530i	−0.792250	+	0.610196i	$0.791091\pi$
$132$	−1.04635	+	1.04778i	−0.0910731	+	0.0911976i
$133$	−7.12488	−	11.9697i	−0.617806	−	1.03790i
$134$	−3.01149	−	0.432986i	−0.260153	−	0.0374043i
$135$	−0.511195	+	0.164567i	−0.0439967	+	0.0141636i
$136$	0.233768	+	1.21291i	0.0200455	+	0.104006i
$137$	2.00952	+	1.16020i	0.171685	+	0.0991224i	0.583380	−	0.812199i	$-0.301730\pi$
$137$	2.00952	+	1.16020i	0.171685	+	0.0991224i	−0.411695	+	0.911322i	$0.635063\pi$
$138$	−7.69568	−	3.12675i	−0.655100	−	0.266167i
$139$		−	1.57802i		−	0.133846i	−0.997758	−	0.0669229i	$-0.978682\pi$
$139$		−	1.57802i		−	0.133846i	0.997758	−	0.0669229i	$-0.0213181\pi$
$140$	−0.250223	−	0.110270i	−0.0211477	−	0.00931954i
$141$	3.51282	−	0.253654i	0.295833	−	0.0213615i
$142$	−4.92491	+	1.97163i	−0.413289	+	0.165456i
$143$	−1.54026	−	2.16300i	−0.128803	−	0.180879i
$144$	1.85125	−	2.36069i	0.154271	−	0.196724i
$145$	0.0409819	−	0.00994211i	0.00340336	−	0.000825647i
$146$	−5.71144	+	3.67052i	−0.472682	+	0.303774i
$147$	−1.68328	+	12.0069i	−0.138835	+	0.990316i
$148$	−3.37223	+	0.990177i	−0.277196	+	0.0813921i
$149$	−2.55290	+	13.2457i	−0.209142	+	1.08513i	0.713846	+	0.700302i	$0.246951\pi$
$149$	−2.55290	+	13.2457i	−0.209142	+	1.08513i	−0.922988	+	0.384828i	$0.874261\pi$
$150$	−4.83888	+	7.15997i	−0.395093	+	0.584609i
$151$	1.97811	−	8.15389i	0.160976	−	0.663554i	−0.832935	−	0.553371i	$-0.813341\pi$
$151$	1.97811	−	8.15389i	0.160976	−	0.663554i	0.993911	−	0.110183i	$-0.0351437\pi$
$152$	−3.05397	+	4.28870i	−0.247709	+	0.347859i
$153$	1.04887	+	3.55415i	0.0847959	+	0.287336i
$154$	−2.23441	+	0.351688i	−0.180054	+	0.0283399i
$155$	0.423970	−	0.0609577i	0.0340541	−	0.00489624i
$156$	3.62142	+	3.97824i	0.289946	+	0.318514i
$157$	0.806753	−	1.02587i	0.0643859	−	0.0818733i	−0.752793	−	0.658257i	$-0.771294\pi$
$157$	0.806753	−	1.02587i	0.0643859	−	0.0818733i	0.817179	+	0.576383i	$0.195537\pi$
$158$	2.23129	+	4.32810i	0.177512	+	0.344325i
$159$	−4.25018	+	1.36184i	−0.337061	+	0.108001i
$160$			0.103352i			0.00817067i
$161$	−6.68514	−	10.7847i	−0.526863	−	0.849950i
$162$	4.84507	−	7.58455i	0.380664	−	0.595898i
$163$	−6.06647	+	17.5279i	−0.475163	+	1.37289i	0.411893	+	0.911232i	$0.364868\pi$
$163$	−6.06647	+	17.5279i	−0.475163	+	1.37289i	−0.887056	+	0.461661i	$0.847254\pi$
$164$	4.04802	−	2.08690i	0.316097	−	0.162959i
$165$	0.00353752	−	0.153000i	0.000275396	−	0.0119110i
$166$	0.126803	+	1.32794i	0.00984178	+	0.103068i
$167$	0.208855	+	1.45262i	0.0161617	+	0.112407i	0.996305	−	0.0858817i	$-0.0273707\pi$
$167$	0.208855	+	1.45262i	0.0161617	+	0.112407i	−0.980144	+	0.198289i	$0.936462\pi$
$168$	4.40939	−	1.24790i	0.340192	−	0.0962779i
$169$	2.82071	−	1.81276i	0.216977	−	0.139443i
$170$	−0.103991	−	0.0740517i	−0.00797576	−	0.00567951i
$171$	−7.87872	+	13.6895i	−0.602501	+	1.04686i
$172$	−1.72128	−	4.97330i	−0.131246	−	0.379211i
$173$	−14.2387	−	2.74428i	−1.08255	−	0.208644i	−0.383371	−	0.923594i	$-0.625237\pi$
$173$	−14.2387	−	2.74428i	−1.08255	−	0.208644i	−0.699175	+	0.714950i	$0.746449\pi$
$174$	−0.423141	+	0.566055i	−0.0320782	+	0.0429125i
$175$	−12.4159	+	4.48318i	−0.938553	+	0.338897i
$176$	0.462208	+	0.719209i	0.0348402	+	0.0542124i
$177$	5.15597	+	4.25121i	0.387546	+	0.319540i
$178$	−3.23335	+	8.07651i	−0.242350	+	0.605360i
$179$	13.5402	−	9.64191i	1.01204	−	0.720670i	0.0514599	−	0.998675i	$-0.483613\pi$
$179$	13.5402	−	9.64191i	1.01204	−	0.720670i	0.960580	+	0.278005i	$0.0896732\pi$
$180$	0.0298942	+	0.308611i	0.00222818	+	0.0230025i
$181$	10.3367	−	16.0842i	0.768320	−	1.19553i	−0.207773	−	0.978177i	$-0.566622\pi$
$181$	10.3367	−	16.0842i	0.768320	−	1.19553i	0.976093	−	0.217352i	$-0.0697420\pi$
$182$	0.889991	+	8.16927i	0.0659705	+	0.605547i
$183$	4.54268	+	6.05967i	0.335804	+	0.447944i
$184$	−2.71113	+	3.95598i	−0.199867	+	0.291639i
$185$	0.181620	−	0.314575i	0.0133530	−	0.0231280i
$186$	−4.82493	+	5.31489i	−0.353781	+	0.389706i
$187$	−1.05483	−	0.0502478i	−0.0771369	−	0.00367448i
$188$	0.289384	−	2.01271i	0.0211055	−	0.146792i
$189$	12.8056	−	5.00168i	0.931470	−	0.363818i
$190$	−0.0774393	−	0.538603i	−0.00561804	−	0.0390743i
$191$	−12.1185	+	2.93992i	−0.876864	+	0.212725i	−0.648835	−	0.760929i	$-0.724743\pi$
$191$	−12.1185	+	2.93992i	−0.876864	+	0.212725i	−0.228029	+	0.973654i	$0.573228\pi$
$192$	−1.10369	−	1.33487i	−0.0796521	−	0.0963356i
$193$	10.1675	+	0.970878i	0.731872	+	0.0698853i	0.454337	−	0.890830i	$-0.349876\pi$
$193$	10.1675	+	0.970878i	0.731872	+	0.0698853i	0.277535	+	0.960715i	$0.410482\pi$
$194$	−3.39681	−	3.23885i	−0.243877	−	0.232536i
$195$	−0.554611	−	0.0392858i	−0.0397165	−	0.00281332i
$196$	6.56555	+	2.42767i	0.468968	+	0.173405i
$197$	2.42328	+	8.25294i	0.172652	+	0.587997i	0.999667	+	0.0258176i	$0.00821890\pi$
$197$	2.42328	+	8.25294i	0.172652	+	0.587997i	−0.827015	+	0.562180i	$0.809963\pi$
$198$	1.58819	+	2.01388i	0.112868	+	0.143120i
$199$	−6.90052	+	0.328712i	−0.489165	+	0.0233018i	−0.290716	−	0.956809i	$-0.593893\pi$
$199$	−6.90052	+	0.328712i	−0.489165	+	0.0233018i	−0.198449	+	0.980111i	$0.563590\pi$
$200$	3.44302	+	3.61094i	0.243459	+	0.255332i
$201$	−1.36042	+	5.09106i	−0.0959565	+	0.359095i
$202$	−12.6935	−	5.79694i	−0.893114	−	0.407872i
$203$	−1.03168	+	0.317909i	−0.0724095	+	0.0223128i
$204$	2.13392	−	0.154086i	0.149404	−	0.0107882i
$205$	−0.153949	+	0.444806i	−0.0107523	+	0.0310666i
$206$	−6.12263	+	10.6047i	−0.426584	+	0.738864i
$207$	−6.95123	+	12.5968i	−0.483144	+	0.875541i
$208$	2.68984	−	1.55298i	0.186507	−	0.107680i
$209$	−2.94762	−	3.40173i	−0.203891	−	0.235303i
$210$	−0.240817	+	0.407824i	−0.0166180	+	0.0281425i
$211$	−0.980653	+	6.82059i	−0.0675110	+	0.469549i	0.927820	+	0.373028i	$0.121681\pi$
$211$	−0.980653	+	6.82059i	−0.0675110	+	0.469549i	−0.995331	+	0.0965208i	$0.969229\pi$
$212$	0.244934	+	2.56506i	0.0168221	+	0.176169i
$213$	2.38419	+	8.87366i	0.163362	+	0.608013i
$214$	8.66794	−	8.26486i	0.592528	−	0.564974i
$215$	0.483450	+	0.249236i	0.0329710	+	0.0169977i
$216$	−3.68176	−	3.66670i	−0.250512	−	0.249487i
$217$	−10.7383	+	2.21833i	−0.728963	+	0.150590i
$218$	3.24019	+	2.80764i	0.219453	+	0.190157i
$219$	5.14536	+	10.5738i	0.347691	+	0.714511i
$220$	−0.0858674	−	0.0208312i	−0.00578918	−	0.00140444i
$221$	−0.364689	+	3.81920i	−0.0245317	+	0.256907i
$222$	1.01358	+	6.00249i	0.0680273	+	0.402861i
$223$	−5.37824	+	18.3166i	−0.360154	+	1.22657i	0.557831	+	0.829955i	$0.311634\pi$
$223$	−5.37824	+	18.3166i	−0.360154	+	1.22657i	−0.917985	+	0.396616i	$0.870184\pi$
$224$	−0.161068	−	2.64084i	−0.0107618	−	0.176449i
$225$	11.3254	+	9.78647i	0.755027	+	0.652431i
$226$	−8.73407	+	3.49659i	−0.580982	+	0.232590i
$227$	−9.04249	+	4.66173i	−0.600171	+	0.309410i	−0.731407	−	0.681942i	$-0.761136\pi$
$227$	−9.04249	+	4.66173i	−0.600171	+	0.309410i	0.131236	+	0.991351i	$0.458106\pi$
$228$	6.75192	+	6.12948i	0.447157	+	0.405935i
$229$	24.9571	−	14.4090i	1.64921	−	0.952174i	0.671829	−	0.740706i	$-0.265509\pi$
$229$	24.9571	−	14.4090i	1.64921	−	0.952174i	0.977385	−	0.211468i	$-0.0678244\pi$
$230$	−0.0793541	−	0.489264i	−0.00523246	−	0.0322611i
$231$	0.148052	+	3.91496i	0.00974108	+	0.257586i
$232$	0.267203	+	0.308369i	0.0175427	+	0.0202454i
$233$	25.3823	+	1.20911i	1.66285	+	0.0792113i	0.857796	−	0.513991i	$-0.171833\pi$
$233$	25.3823	+	1.20911i	1.66285	+	0.0792113i	0.805054	+	0.593202i	$0.202136\pi$
$234$	7.58274	−	5.41527i	0.495699	−	0.354007i
$235$	0.121903	+	0.171188i	0.00795206	+	0.0111671i
$236$	3.03274	−	2.38497i	0.197414	−	0.155248i
$237$	7.90026	−	2.95279i	0.513177	−	0.191805i
$238$	2.77259	+	1.73011i	0.179720	+	0.112146i
$239$	6.12168	−	2.79568i	0.395978	−	0.180837i	−0.207466	−	0.978242i	$-0.566522\pi$
$239$	6.12168	−	2.79568i	0.395978	−	0.180837i	0.603445	+	0.797405i	$0.293794\pi$
$240$	0.177759	+	0.0211306i	0.0114743	+	0.00136397i
$241$	−14.9623	+	5.17852i	−0.963809	+	0.333578i	−0.763249	−	0.646104i	$-0.776397\pi$
$241$	−14.9623	+	5.17852i	−0.963809	+	0.333578i	−0.200560	+	0.979682i	$0.564276\pi$
$242$	9.70431	−	3.35869i	0.623817	−	0.215905i
$243$	−12.0544	−	9.88391i	−0.773289	−	0.634053i
$244$	3.97734	−	1.81639i	0.254623	−	0.116282i
$245$	−0.664241	+	0.286673i	−0.0424368	+	0.0183149i
$246$	−2.76171	−	7.38902i	−0.176080	−	0.471107i
$247$	−12.8541	+	10.1086i	−0.817888	+	0.643194i
$248$	2.40398	+	3.37592i	0.152653	+	0.214371i
$249$	2.30990	+	0.0534074i	0.146384	+	0.00338455i
$250$	−1.03124	−	0.0491242i	−0.0652216	−	0.00310689i
$251$	−0.442996	−	0.511244i	−0.0279616	−	0.0322694i	0.741597	−	0.670846i	$-0.234069\pi$
$251$	−0.442996	−	0.511244i	−0.0279616	−	0.0322694i	−0.769558	+	0.638577i	$0.779523\pi$
$252$	−1.24481	−	7.83903i	−0.0784157	−	0.493813i
$253$	−2.74029	−	3.04983i	−0.172281	−	0.191741i
$254$	9.55611	−	5.51722i	0.599604	−	0.346181i
$255$	−0.148626	+	0.163719i	−0.00930732	+	0.0102525i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	−19.9724	+	7.99573i	−1.24584	+	0.498760i	−0.898498	−	0.438977i	$-0.855341\pi$
$257$	−19.9724	+	7.99573i	−1.24584	+	0.498760i	−0.347344	+	0.937738i	$0.612917\pi$
$258$	−8.90571	+	1.94369i	−0.554445	+	0.121009i
$259$	−4.15051	+	8.32107i	−0.257900	+	0.517046i
$260$	−0.0904381	+	0.308004i	−0.00560873	+	0.0191016i
$261$	0.887069	+	0.843509i	0.0549082	+	0.0522119i
$262$	0.883897	−	9.25659i	0.0546074	−	0.571874i
$263$	−22.5654	−	5.47432i	−1.39144	−	0.337561i	−0.531115	−	0.847300i	$-0.678227\pi$
$263$	−22.5654	−	5.47432i	−1.39144	−	0.337561i	−0.860329	+	0.509739i	$0.829742\pi$
$264$	1.33150	−	0.647926i	0.0819480	−	0.0398771i
$265$	−0.201263	−	0.174396i	−0.0123635	−	0.0107130i
$266$	2.81812	+	13.6417i	0.172790	+	0.836426i
$267$	13.2301	+	7.21243i	0.809666	+	0.441394i
$268$	2.70424	+	1.39413i	0.165188	+	0.0851602i
$269$	5.13263	−	4.89396i	0.312942	−	0.298390i	−0.517287	−	0.855812i	$-0.673058\pi$
$269$	5.13263	−	4.89396i	0.312942	−	0.298390i	0.830229	+	0.557422i	$0.188210\pi$
$270$	0.536904	+	0.0116801i	0.0326750	+	0.000710827i
$271$	−2.77220	−	29.0318i	−0.168399	−	1.76355i	−0.546189	−	0.837662i	$-0.683922\pi$
$271$	−2.77220	−	29.0318i	−0.168399	−	1.76355i	0.377790	−	0.925891i	$-0.376684\pi$
$272$	0.175791	−	1.22265i	0.0106589	−	0.0741343i
$273$	14.2326	+	0.139499i	0.861398	+	0.00844287i
$274$	−1.51954	−	1.75364i	−0.0917986	−	0.105941i
$275$	−3.69403	+	2.13275i	−0.222758	+	0.128610i
$276$	6.24976	+	5.47179i	0.376191	+	0.329363i
$277$	−7.06761	+	12.2415i	−0.424652	+	0.735518i	−0.996388	−	0.0849192i	$-0.972937\pi$
$277$	−7.06761	+	12.2415i	−0.424652	+	0.735518i	0.571736	+	0.820438i	$0.306270\pi$
$278$	−0.516119	+	1.49123i	−0.0309548	+	0.0894379i
$279$	8.15482	+	9.38524i	0.488217	+	0.561879i
$280$	0.200395	+	0.186045i	0.0119759	+	0.0111183i
$281$	11.2636	+	5.14391i	0.671930	+	0.306860i	0.722007	−	0.691885i	$-0.243220\pi$
$281$	11.2636	+	5.14391i	0.671930	+	0.306860i	−0.0500776	+	0.998745i	$0.515947\pi$
$282$	−3.40258	−	0.909229i	−0.202621	−	0.0541438i
$283$	2.89779	+	3.03911i	0.172256	+	0.180657i	0.804203	−	0.594355i	$-0.202593\pi$
$283$	2.89779	+	3.03911i	0.172256	+	0.180657i	−0.631947	+	0.775011i	$0.717744\pi$
$284$	5.29890	−	0.252418i	0.314432	−	0.0149782i
$285$	−0.942198	+	0.0230723i	−0.0558110	+	0.00136669i
$286$	0.748104	+	2.54781i	0.0442363	+	0.150655i
$287$	3.24049	−	11.6056i	0.191280	−	0.685057i
$288$	−2.52154	+	1.62537i	−0.148583	+	0.0957757i
$289$	−11.1992	−	10.6784i	−0.658777	−	0.628143i
$290$	−0.0419797	−	0.00400857i	−0.00246513	−	0.000235392i
$291$	−6.26512	+	5.18012i	−0.367268	+	0.303664i
$292$	6.59783	−	1.60062i	0.386109	−	0.0936689i
$293$	4.55938	+	31.7112i	0.266362	+	1.85259i	0.482076	+	0.876130i	$0.339883\pi$
$293$	4.55938	+	31.7112i	0.266362	+	1.85259i	−0.215714	+	0.976457i	$0.569208\pi$
$294$	5.51779	−	10.7960i	0.321804	−	0.629637i
$295$	−0.0567481	+	0.394691i	−0.00330400	+	0.0229798i
$296$	3.51062	+	0.167231i	0.204051	+	0.00972013i
$297$	3.78847	−	2.31985i	0.219829	−	0.134612i
$298$	6.74474	−	11.6822i	0.390712	−	0.676733i
$299$	−11.5413	+	9.41705i	−0.667448	+	0.544602i
$300$	6.91454	−	5.18353i	0.399211	−	0.299271i
$301$	−12.7415	−	5.61504i	−0.734410	−	0.323646i
$302$	−4.53619	+	7.05845i	−0.261029	+	0.406168i
$303$	−12.5656	+	20.6469i	−0.721877	+	1.18614i
$304$	4.28870	−	3.05397i	0.245974	−	0.175157i
$305$	−0.167955	+	0.419532i	−0.00961709	+	0.0240223i
$306$	0.171267	−	3.70172i	0.00979070	−	0.211613i
$307$	11.1638	+	17.3712i	0.637151	+	0.991426i	0.998264	+	0.0589041i	$0.0187606\pi$
$307$	11.1638	+	17.3712i	0.637151	+	0.991426i	−0.361113	+	0.932522i	$0.617603\pi$
$308$	2.22655	+	0.398459i	0.126869	+	0.0227043i
$309$	16.9877	+	12.6987i	0.966395	+	0.722405i
$310$	−0.420590	−	0.0810620i	−0.0238879	−	0.00460401i
$311$	−6.83261	−	19.7415i	−0.387442	−	1.11944i	−0.955128	−	0.296194i	$-0.904282\pi$
$311$	−6.83261	−	19.7415i	−0.387442	−	1.11944i	0.567686	−	0.823245i	$-0.307839\pi$
$312$	−2.12109	−	4.94389i	−0.120083	−	0.279893i
$313$	1.04287	+	0.742622i	0.0589463	+	0.0419755i	0.609150	−	0.793055i	$-0.291511\pi$
$313$	1.04287	+	0.742622i	0.0589463	+	0.0419755i	−0.550204	+	0.835030i	$0.685450\pi$
$314$	−1.09791	+	0.705585i	−0.0619587	+	0.0398185i
$315$	0.652197	+	0.497572i	0.0367472	+	0.0280350i
$316$	−0.692988	−	4.81984i	−0.0389836	−	0.271137i
$317$	2.95176	+	30.9122i	0.165787	+	1.73620i	0.570093	+	0.821580i	$0.306907\pi$
$317$	2.95176	+	30.9122i	0.165787	+	1.73620i	−0.404306	+	0.914624i	$0.632487\pi$
$318$	4.46184	+	0.103163i	0.250207	+	0.00578507i
$319$	−0.310057	+	0.159846i	−0.0173599	+	0.00894964i
$320$	0.0338030	−	0.0976675i	0.00188965	−	0.00545978i
$321$	−12.4429	−	16.5981i	−0.694495	−	0.926417i
$322$	2.79015	+	12.3780i	0.155489	+	0.689799i
$323$			6.50340i			0.361859i
$324$	−7.05925	+	5.58274i	−0.392181	+	0.310152i
$325$	7.10098	+	13.7740i	0.393891	+	0.764042i
$326$	11.4656	−	14.5798i	0.635023	−	0.807498i
$327$	5.49144	−	4.99891i	0.303677	−	0.276440i
$328$	−4.50793	+	0.648143i	−0.248909	+	0.0357877i
$329$	−3.38165	−	4.18423i	−0.186436	−	0.230684i
$330$	−0.0533843	+	0.143428i	−0.00293871	+	0.00789544i
$331$	−6.48900	+	9.11253i	−0.356668	+	0.500870i	−0.953457	−	0.301528i	$-0.902503\pi$
$331$	−6.48900	+	9.11253i	−0.356668	+	0.500870i	0.596790	+	0.802398i	$0.296443\pi$
$332$	0.314497	−	1.29637i	0.0172603	−	0.0711478i
$333$	10.5312	−	0.516079i	0.577104	−	0.0282810i
$334$	0.277737	−	1.44104i	0.0151971	−	0.0788499i
$335$	−0.301706	+	0.0885888i	−0.0164839	+	0.00484012i
$336$	−4.57503	−	0.262900i	−0.249588	−	0.0143424i
$337$	−21.0969	+	13.5582i	−1.14922	+	0.738561i	−0.969484	−	0.245154i	$-0.921162\pi$
$337$	−21.0969	+	13.5582i	−1.14922	+	0.738561i	−0.179739	+	0.983714i	$0.557525\pi$
$338$	−3.25847	+	0.790495i	−0.177237	+	0.0429973i
$339$	4.22823	+	15.7370i	0.229646	+	0.854715i
$340$	0.0740517	+	0.103991i	0.00401602	+	0.00563971i
$341$	−3.28934	+	1.31685i	−0.178128	+	0.0713117i
$342$	11.9228	−	10.3597i	0.644711	−	0.560189i
$343$	16.5259	−	8.36026i	0.892316	−	0.451412i
$344$			5.26275i			0.283748i
$345$	−0.857730	+	0.0364531i	−0.0461786	+	0.00196257i
$346$	12.5580	+	7.25036i	0.675122	+	0.389782i
$347$	−5.95765	−	30.9112i	−0.319823	−	1.65940i	−0.685060	−	0.728487i	$-0.740224\pi$
$347$	−5.95765	−	30.9112i	−0.319823	−	1.65940i	0.365237	−	0.930915i	$-0.380988\pi$
$348$	0.585007	−	0.396527i	0.0313596	−	0.0212561i
$349$	32.7893	+	4.71439i	1.75517	+	0.252356i	0.943409	−	0.331632i	$-0.107599\pi$
$349$	32.7893	+	4.71439i	1.75517	+	0.252356i	0.811763	+	0.583988i	$0.198508\pi$
$350$	13.1993	−	0.175772i	0.705534	−	0.00939540i
$351$	−7.76364	−	14.1490i	−0.414392	−	0.755220i
$352$	−0.201556	−	0.830826i	−0.0107430	−	0.0442832i
$353$	−0.807548	−	16.9525i	−0.0429814	−	0.902291i	−0.912672	−	0.408694i	$-0.865985\pi$
$353$	−0.807548	−	16.9525i	−0.0429814	−	0.902291i	0.869690	−	0.493598i	$-0.164319\pi$
$354$	−3.48196	−	5.70375i	−0.185064	−	0.303151i
$355$	−0.378350	+	0.396803i	−0.0200808	+	0.0210601i
$356$	5.69708	−	6.57478i	0.301945	−	0.348463i
$357$	3.54254	−	4.41496i	0.187491	−	0.233665i
$358$	−15.9490	+	4.68306i	−0.842932	+	0.247507i
$359$	−3.04042	−	2.16508i	−0.160467	−	0.114268i	0.497003	−	0.867749i	$-0.334434\pi$
$359$	−3.04042	−	2.16508i	−0.160467	−	0.114268i	−0.657470	+	0.753481i	$0.728373\pi$
$360$	0.0726866	−	0.301415i	0.00383092	−	0.0158860i
$361$	−6.31070	+	6.01724i	−0.332142	+	0.316697i
$362$	−15.0288	+	11.8188i	−0.789896	+	0.621181i
$363$	−3.79268	−	17.3775i	−0.199064	−	0.912084i
$364$	1.83087	−	8.01106i	0.0959634	−	0.419894i
$365$	−0.379355	+	0.590287i	−0.0198563	+	0.0308971i
$366$	−2.31091	−	7.21216i	−0.120793	−	0.376986i
$367$	−12.2805	−	7.09018i	−0.641039	−	0.370104i	0.143975	−	0.989581i	$-0.454011\pi$
$367$	−12.2805	−	7.09018i	−0.641039	−	0.370104i	−0.785015	+	0.619477i	$0.787345\pi$
$368$	3.85589	−	2.85168i	0.201002	−	0.148654i
$369$	−13.2733	+	3.23928i	−0.690982	+	0.168630i
$370$	−0.274518	+	0.237872i	−0.0142715	+	0.0123664i
$371$	5.41447	+	4.14250i	0.281105	+	0.215068i
$372$	6.29789	−	3.44449i	0.326530	−	0.178589i
$373$	29.1640	−	2.78482i	1.51005	−	0.144193i	0.693078	−	0.720863i	$-0.256254\pi$
$373$	29.1640	−	2.78482i	1.51005	−	0.144193i	0.816977	+	0.576670i	$0.195648\pi$
$374$	0.980382	+	0.392486i	0.0506943	+	0.0202950i
$375$	−0.295332	+	1.76364i	−0.0152509	+	0.0910738i
$376$	−0.931763	+	1.80737i	−0.0480520	+	0.0932078i
$377$	0.526467	+	1.15280i	0.0271144	+	0.0593723i
$378$	−13.7372	+	0.538289i	−0.706565	+	0.0276866i
$379$	−1.40093	+	1.61676i	−0.0719610	+	0.0830474i	−0.790588	−	0.612348i	$-0.790225\pi$
$379$	−1.40093	+	1.61676i	−0.0719610	+	0.0830474i	0.718628	+	0.695395i	$0.244771\pi$
$380$	−0.102979	+	0.534308i	−0.00528273	+	0.0274094i
$381$	−7.53553	−	17.5640i	−0.386057	−	0.899829i
$382$	12.4135	+	1.18535i	0.635132	+	0.0606478i
$383$	−29.4508	−	15.1830i	−1.50487	−	0.775813i	−0.508508	−	0.861057i	$-0.669803\pi$
$383$	−29.4508	−	15.1830i	−1.50487	−	0.775813i	−0.996360	+	0.0852442i	$0.972833\pi$
$384$	0.606398	+	1.62243i	0.0309451	+	0.0827943i
$385$	−0.194962	+	0.128995i	−0.00993620	+	0.00657419i
$386$	−9.29075	−	4.24294i	−0.472887	−	0.215960i
$387$	1.52223	+	15.7147i	0.0773795	+	0.798822i
$388$	2.15066	+	4.17170i	0.109183	+	0.211786i
$389$	−4.98022	−	25.8399i	−0.252507	−	1.31013i	−0.857740	−	0.514084i	$-0.828132\pi$
$389$	−4.98022	−	25.8399i	−0.252507	−	1.31013i	0.605232	−	0.796049i	$-0.293080\pi$
$390$	0.511258	+	0.218520i	0.0258886	+	0.0110652i
$391$	0.106572	+	5.92298i	0.00538958	+	0.299538i
$392$	−5.41044	−	4.44153i	−0.273268	−	0.224331i
$393$	−15.7401	−	3.41279i	−0.793982	−	0.172152i
$394$	0.409269	−	8.59161i	0.0206187	−	0.432839i
$395$	0.395590	+	0.311095i	0.0199043	+	0.0156529i
$396$	−0.842166	−	2.42257i	−0.0423204	−	0.121739i
$397$	−12.1804	−	15.4886i	−0.611316	−	0.777352i	0.377577	−	0.925978i	$-0.376757\pi$
$397$	−12.1804	−	15.4886i	−0.611316	−	0.777352i	−0.988893	+	0.148626i	$0.952515\pi$
$398$	6.62851	+	1.94631i	0.332257	+	0.0975595i
$399$	24.0391	−	2.05791i	1.20346	−	0.103024i
$400$	−2.07264	−	4.53844i	−0.103632	−	0.226922i
$401$	−9.70272	+	10.1759i	−0.484531	+	0.508161i	−0.919933	−	0.392075i	$-0.871758\pi$
$401$	−9.70272	+	10.1759i	−0.484531	+	0.508161i	0.435403	+	0.900236i	$0.356606\pi$
$402$	2.95072	−	4.36610i	0.147168	−	0.217761i
$403$	4.21013	+	12.1644i	0.209721	+	0.605950i
$404$	10.0994	+	9.62977i	0.502464	+	0.479099i
$405$	0.129861	−	0.921056i	0.00645283	−	0.0457676i
$406$	1.07891	+	0.0370039i	0.0535455	+	0.00183647i
$407$	−0.846528	+	2.88301i	−0.0419608	+	0.142905i
$408$	−2.06695	−	0.552326i	−0.102329	−	0.0273442i
$409$	11.5787	−	8.24514i	0.572529	−	0.407696i	−0.256794	−	0.966466i	$-0.582666\pi$
$409$	11.5787	−	8.24514i	0.572529	−	0.407696i	0.829322	+	0.558770i	$0.188727\pi$
$410$	0.290964	−	0.369990i	0.0143697	−	0.0182725i
$411$	−3.32683	+	2.25498i	−0.164100	+	0.111230i
$412$	9.25434	−	8.01894i	0.455929	−	0.395065i
$413$	0.834920	−	10.1736i	0.0410837	−	0.500610i
$414$	10.6889	−	9.63050i	0.525333	−	0.473313i
$415$	0.0689344	+	0.119398i	0.00338386	+	0.00586101i
$416$	−3.04984	+	0.587808i	−0.149531	+	0.0288196i
$417$	2.45930	+	1.19258i	0.120433	+	0.0584009i
$418$	1.67290	+	4.17871i	0.0818244	+	0.204387i
$419$	9.28653	−	20.3347i	0.453677	−	0.993413i	−0.535207	−	0.844721i	$-0.679766\pi$
$419$	9.28653	−	20.3347i	0.453677	−	0.993413i	0.988884	−	0.148692i	$-0.0475063\pi$
$420$	0.360959	−	0.306630i	0.0176130	−	0.0149620i
$421$	−23.7803	−	6.98254i	−1.15898	−	0.340308i	−0.354946	−	0.934887i	$-0.615501\pi$
$421$	−23.7803	−	6.98254i	−1.15898	−	0.340308i	−0.804037	+	0.594579i	$0.797319\pi$
$422$	3.15752	−	6.12473i	0.153705	−	0.298147i
$423$	−2.25949	+	5.66635i	−0.109860	+	0.275507i
$424$	0.607488	−	2.50410i	0.0295022	−	0.121610i
$425$	6.05157	+	1.16634i	0.293544	+	0.0565760i
$426$	0.649231	−	9.16540i	0.0314554	−	0.444065i
$427$	3.63777	−	10.9816i	0.176044	−	0.531438i
$428$	−10.8944	+	4.97530i	−0.526600	+	0.240490i
$429$	4.53503	−	0.765788i	0.218953	−	0.0369726i
$430$	−0.375344	−	0.393649i	−0.0181007	−	0.0189834i
$431$	10.0156	−	25.0178i	0.482436	−	1.20507i	−0.465054	−	0.885282i	$-0.653965\pi$
$431$	10.0156	−	25.0178i	0.482436	−	1.20507i	0.947490	−	0.319785i	$-0.103611\pi$
$432$	2.28000	+	4.66922i	0.109697	+	0.224648i
$433$	32.0230	+	4.60422i	1.53893	+	0.221265i	0.858986	−	0.512000i	$-0.171095\pi$
$433$	32.0230	+	4.60422i	1.53893	+	0.221265i	0.679944	+	0.733264i	$0.262004\pi$
$434$	10.8732	+	1.41583i	0.521932	+	0.0679620i
$435$	−0.0154774	+	0.0713830i	−0.000742084	+	0.00342256i
$436$	−2.14369	−	3.71298i	−0.102664	−	0.177820i
$437$	−17.9577	+	17.7503i	−0.859034	+	0.849111i
$438$	−1.40402	−	11.6751i	−0.0670867	−	0.557859i
$439$	−25.7089	−	8.89793i	−1.22702	−	0.424675i	−0.364740	−	0.931110i	$-0.618842\pi$
$439$	−25.7089	−	8.89793i	−1.22702	−	0.424675i	−0.862279	+	0.506434i	$0.830963\pi$
$440$	0.0743315	+	0.0477700i	0.00354362	+	0.00227734i
$441$	−17.4404	−	11.6976i	−0.830495	−	0.557026i
$442$	1.59377	−	3.48987i	0.0758079	−	0.165996i
$443$	−20.1732	−	25.6523i	−0.958457	−	1.21878i	−0.975741	−	0.218926i	$-0.929745\pi$
$443$	−20.1732	−	25.6523i	−0.958457	−	1.21878i	0.0172846	−	0.999851i	$-0.494498\pi$
$444$	1.00538	−	6.00387i	0.0477134	−	0.284931i
$445$	0.0427822	+	0.898109i	0.00202807	+	0.0425745i
$446$	11.0732	−	15.5502i	0.524332	−	0.736321i
$447$	−18.7138	−	13.9890i	−0.885131	−	0.661658i
$448$	−0.711526	+	2.54828i	−0.0336164	+	0.120395i
$449$	−17.6317	−	15.2780i	−0.832092	−	0.721011i	0.130652	−	0.991428i	$-0.458293\pi$
$449$	−17.6317	−	15.2780i	−0.832092	−	0.721011i	−0.962743	+	0.270417i	$0.912838\pi$
$450$	−7.50168	−	12.9524i	−0.353632	−	0.610582i
$451$	0.370108	−	3.87595i	0.0174277	−	0.182511i
$452$	9.39733	−	0.447650i	0.442013	−	0.0210557i
$453$	11.2127	+	9.24511i	0.526818	+	0.434373i
$454$	10.0699	−	1.44783i	0.472602	−	0.0679499i
$455$	0.434408	+	0.729799i	0.0203654	+	0.0342135i
$456$	−4.37581	−	8.00070i	−0.204916	−	0.374667i
$457$	1.15433	−	24.2324i	0.0539973	−	1.13354i	−0.795501	−	0.605952i	$-0.792792\pi$
$457$	1.15433	−	24.2324i	0.0539973	−	1.13354i	0.849498	−	0.527591i	$-0.176905\pi$
$458$	−28.2972	+	5.45385i	−1.32224	+	0.254841i
$459$	−6.33173	−	1.05140i	−0.295540	−	0.0490750i
$460$	−0.0850328	+	0.488309i	−0.00396468	+	0.0227675i
$461$	−22.8294			−1.06327			−0.531636	−	0.846973i	$-0.678423\pi$
$461$	−22.8294			−1.06327			−0.531636	+	0.846973i	$0.678423\pi$
$462$	1.14055	−	3.74807i	0.0530632	−	0.174376i
$463$	24.2429	+	15.5800i	1.12666	+	0.724062i	0.964861	−	0.262761i	$-0.0846331\pi$
$463$	24.2429	+	15.5800i	1.12666	+	0.724062i	0.161802	+	0.986823i	$0.448269\pi$
$464$	−0.151650	−	0.378802i	−0.00704015	−	0.0175855i
$465$	−0.225413	+	0.706816i	−0.0104533	+	0.0327778i
$466$	−23.5908	−	9.44434i	−1.09282	−	0.437501i
$467$	1.58373	+	6.52821i	0.0732861	+	0.302090i	0.996645	−	0.0818491i	$-0.0260825\pi$
$467$	1.58373	+	6.52821i	0.0732861	+	0.302090i	−0.923359	+	0.383939i	$0.874567\pi$
$468$	−8.93686	+	2.63736i	−0.413107	+	0.121912i
$469$	7.57113	−	2.73381i	0.349602	−	0.126236i
$470$	−0.0592079	−	0.201644i	−0.00273106	−	0.00930113i
$471$	0.989094	+	2.03260i	0.0455750	+	0.0936574i
$472$	−3.64599	+	1.26189i	−0.167820	+	0.0580831i
$473$	−4.37243	−	1.06074i	−0.201045	−	0.0487729i
$474$	−8.43152	+	0.206469i	−0.387273	+	0.00948345i
$475$	14.2018	+	22.0985i	0.651624	+	1.01395i
$476$	−2.05424	−	2.54178i	−0.0941557	−	0.116502i
$477$	1.08967	−	7.65301i	0.0498925	−	0.350407i
$478$	−6.69936	+	0.639712i	−0.306422	+	0.0292597i
$479$	−29.3180	−	23.0560i	−1.33958	−	1.05345i	−0.993330	−	0.115310i	$-0.963214\pi$
$479$	−29.3180	−	23.0560i	−1.33958	−	1.05345i	−0.346246	−	0.938144i	$-0.612544\pi$
$480$	−0.161071	−	0.0781076i	−0.00735186	−	0.00356511i
$481$	10.3158	+	3.57035i	0.470362	+	0.162794i
$482$	15.8331			0.721180
$483$	21.8599	−	2.26818i	0.994660	−	0.103206i
$484$	−10.2691			−0.466777
$485$	−0.458397	−	0.158653i	−0.0208147	−	0.00720405i
$486$	8.15870	+	13.2829i	0.370086	+	0.602525i
$487$	22.4512	+	17.6558i	1.01736	+	0.800062i	0.979951	−	0.199238i	$-0.0638466\pi$
$487$	22.4512	+	17.6558i	1.01736	+	0.800062i	0.0374108	+	0.999300i	$0.488089\pi$
$488$	−4.35267	+	0.415630i	−0.197036	+	0.0188147i
$489$	−22.7321	−	22.7011i	−1.02798	−	1.02658i
$490$	0.721470	−	0.0536546i	0.0325927	−	0.00242387i
$491$	−2.00359	−	3.11764i	−0.0904206	−	0.140697i	0.793097	−	0.609096i	$-0.208467\pi$
$491$	−2.00359	−	3.11764i	−0.0904206	−	0.140697i	−0.883517	+	0.468399i	$0.844831\pi$
$492$	0.193108	+	7.88590i	0.00870600	+	0.355524i
$493$	0.489803	+	0.118825i	0.0220596	+	0.00535161i
$494$	15.4533	−	5.34845i	0.695279	−	0.240638i
$495$	0.235773	+	0.121142i	0.0105972	+	0.00544493i
$496$	−1.16761	−	3.97651i	−0.0524272	−	0.178551i
$497$	9.04922	−	10.7287i	0.405913	−	0.481250i
$498$	−2.16539	−	0.805964i	−0.0970333	−	0.0361161i
$499$	4.17408	+	17.2058i	0.186858	+	0.770238i	0.985674	+	0.168663i	$0.0539448\pi$
$499$	4.17408	+	17.2058i	0.186858	+	0.770238i	−0.798816	+	0.601575i	$0.794540\pi$
$500$	0.958459	+	0.383709i	0.0428636	+	0.0171600i
$501$	−2.42171	−	0.772315i	−0.108194	−	0.0345045i
$502$	0.251420	+	0.628016i	0.0112214	+	0.0280297i
$503$	14.9942	+	9.63619i	0.668558	+	0.429656i	0.830405	−	0.557160i	$-0.188109\pi$
$503$	14.9942	+	9.63619i	0.668558	+	0.429656i	−0.161847	+	0.986816i	$0.551745\pi$
$504$	−1.38755	+	7.81503i	−0.0618064	+	0.348109i
$505$	−1.44223			−0.0641784
$506$	1.59208	+	3.77835i	0.0707764	+	0.167968i
$507$	0.693403	+	5.76599i	0.0307951	+	0.256077i
$508$	−10.8350	+	2.08828i	−0.480727	+	0.0926525i
$509$	−1.29408	+	27.1662i	−0.0573592	+	1.20412i	0.768353	+	0.640027i	$0.221077\pi$
$509$	−1.29408	+	27.1662i	−0.0573592	+	1.20412i	−0.825712	+	0.564092i	$0.809226\pi$
$510$	0.193999	−	0.106103i	0.00859041	−	0.00469834i
$511$	8.77334	−	15.6742i	0.388110	−	0.693387i
$512$	0.989821	−	0.142315i	0.0437443	−	0.00628949i
$513$	−15.3804	−	22.6246i	−0.679063	−	0.998900i
$514$	21.4891	−	1.02365i	0.947842	−	0.0451513i
$515$	−0.120300	+	1.25984i	−0.00530105	+	0.0555151i
$516$	9.05162	+	1.07598i	0.398475	+	0.0473675i
$517$	−1.31381	−	1.13842i	−0.0577811	−	0.0500676i
$518$	6.64379	−	6.50592i	0.291911	−	0.285854i
$519$	15.0377	−	20.1167i	0.660083	−	0.883023i
$520$	0.186202	−	0.261484i	0.00816551	−	0.0114669i
$521$	−1.06531	−	22.3636i	−0.0466720	−	0.979767i	−0.893825	−	0.448417i	$-0.851988\pi$
$521$	−1.06531	−	22.3636i	−0.0466720	−	0.979767i	0.847153	−	0.531350i	$-0.178315\pi$
$522$	−0.562397	−	1.08725i	−0.0246154	−	0.0475876i
$523$	9.40596	+	11.9606i	0.411294	+	0.523002i	0.946927	−	0.321448i	$-0.104170\pi$
$523$	9.40596	+	11.9606i	0.411294	+	0.523002i	−0.535634	+	0.844451i	$0.679927\pi$
$524$	−3.86282	+	8.45839i	−0.168748	+	0.369507i
$525$	2.39632	−	22.7380i	0.104584	−	0.992368i
$526$	19.5339	+	12.5537i	0.851718	+	0.547366i
$527$	4.83771	+	1.67435i	0.210734	+	0.0729357i
$528$	−1.47018	+	0.176800i	−0.0639814	+	0.00769424i
$529$	−16.0641	+	16.4604i	−0.698440	+	0.715668i
$530$	0.133155	+	0.230631i	0.00578388	+	0.0100180i
$531$	−10.5220	+	4.82262i	−0.456616	+	0.209284i
$532$	1.79864	−	13.8131i	0.0779808	−	0.598875i
$533$	−14.0015	−	2.01311i	−0.606472	−	0.0871975i
$534$	−10.1435	−	11.1429i	−0.438950	−	0.482200i
$535$	0.460048	−	1.14914i	0.0198896	−	0.0496818i
$536$	−2.09953	−	2.20193i	−0.0906861	−	0.0951088i
$537$	4.79376	+	28.3889i	0.206866	+	1.22507i
$538$	−6.45100	+	2.94607i	−0.278122	+	0.127014i
$539$	4.78065	−	3.59992i	0.205917	−	0.155059i
$540$	−0.503555	−	0.186642i	−0.0216695	−	0.00803179i
$541$	20.6580	+	3.98150i	0.888157	+	0.171178i	0.612870	−	0.790184i	$-0.290015\pi$
$541$	20.6580	+	3.98150i	0.888157	+	0.171178i	0.275287	+	0.961362i	$0.411227\pi$
$542$	−6.87563	+	28.3417i	−0.295334	+	1.21738i
$543$	17.2549	+	28.2650i	0.740480	+	1.21297i
$544$	−0.566014	+	1.09791i	−0.0242677	+	0.0470727i
$545$	0.425160	+	0.124838i	0.0182118	+	0.00534748i
$546$	−13.4042	−	4.78687i	−0.573648	−	0.204859i
$547$	−13.3847	+	29.3085i	−0.572290	+	1.25314i	0.373279	+	0.927719i	$0.378233\pi$
$547$	−13.3847	+	29.3085i	−0.572290	+	1.25314i	−0.945569	+	0.325422i	$0.894494\pi$
$548$	0.862404	+	2.15418i	0.0368401	+	0.0920221i
$549$	−12.8770	+	2.50008i	−0.549575	+	0.106701i
$550$	4.18841	−	0.807250i	0.178594	−	0.0344213i
$551$	1.07413	+	1.86044i	0.0457594	+	0.0792576i
$552$	−4.11638	−	7.21494i	−0.175205	−	0.307088i
$553$	−10.5929	−	7.33260i	−0.450458	−	0.311814i
$554$	10.6827	−	9.25661i	0.453864	−	0.393275i
$555$	0.352999	+	0.520789i	0.0149840	+	0.0221063i
$556$	0.975466	−	1.24041i	0.0413690	−	0.0526049i
$557$	31.6760	−	22.5564i	1.34216	−	0.955745i	0.342286	−	0.939596i	$-0.388799\pi$
$557$	31.6760	−	22.5564i	1.34216	−	0.955745i	0.999870	−	0.0161489i	$-0.00514057\pi$
$558$	−4.63671	−	11.5362i	−0.196287	−	0.488368i
$559$	−4.60517	+	15.6838i	−0.194778	+	0.663353i
$560$	−0.128524	−	0.241356i	−0.00543113	−	0.0101991i
$561$	0.875494	−	1.60595i	0.0369634	−	0.0678035i
$562$	−8.96170	−	8.54496i	−0.378026	−	0.360448i
$563$	−4.18852	−	12.1019i	−0.176525	−	0.510036i	0.821678	−	0.569952i	$-0.193038\pi$
$563$	−4.18852	−	12.1019i	−0.176525	−	0.510036i	−0.998203	+	0.0599154i	$0.980917\pi$
$564$	2.91806	+	1.97210i	0.122873	+	0.0830403i
$565$	−0.670985	+	0.703709i	−0.0282286	+	0.0296053i
$566$	−1.74442	−	3.81974i	−0.0733233	−	0.160556i
$567$	−1.88278	+	23.7372i	−0.0790694	+	0.996869i
$568$	−5.09002	−	1.49456i	−0.213573	−	0.0627105i
$569$	28.4201	+	36.1391i	1.19143	+	1.51503i	0.805601	+	0.592459i	$0.201843\pi$
$569$	28.4201	+	36.1391i	1.19143	+	1.51503i	0.385830	+	0.922570i	$0.373915\pi$
$570$	0.897924	+	0.286359i	0.0376099	+	0.0119943i
$571$	17.4409	+	13.7157i	0.729879	+	0.573983i	0.912440	−	0.409211i	$-0.134196\pi$
$571$	17.4409	+	13.7157i	0.729879	+	0.573983i	−0.182561	+	0.983195i	$0.558439\pi$
$572$	0.126348	−	2.65236i	0.00528286	−	0.110901i
$573$	4.57672	−	21.1082i	0.191195	−	0.881809i
$574$	−6.85809	+	9.90745i	−0.286251	+	0.413529i
$575$	13.2965	+	19.8935i	0.554500	+	0.829615i
$576$	2.91447	−	0.711258i	0.121436	−	0.0296358i
$577$	−3.52904	−	18.3104i	−0.146916	−	0.762272i	−0.978400	−	0.206723i	$-0.933720\pi$
$577$	−3.52904	−	18.3104i	−0.146916	−	0.762272i	0.831484	−	0.555549i	$-0.187492\pi$
$578$	7.09069	+	13.7540i	0.294934	+	0.572092i
$579$	−9.19713	+	15.1121i	−0.382220	+	0.628036i
$580$	0.0383598	+	0.0175183i	0.00159280	+	0.000727409i
$581$	−1.94749	−	2.94342i	−0.0807954	−	0.122114i
$582$	7.61479	−	2.84610i	0.315643	−	0.117974i
$583$	1.95803	+	1.00943i	0.0810932	+	0.0418065i
$584$	−6.75846	−	0.645355i	−0.279667	−	0.0267050i
$585$	0.480371	−	0.834657i	0.0198609	−	0.0345088i
$586$	6.06309	−	31.4583i	0.250464	−	1.29953i
$587$	−9.94539	+	11.4776i	−0.410490	+	0.473731i	−0.922916	−	0.385000i	$-0.874201\pi$
$587$	−9.94539	+	11.4776i	−0.410490	+	0.473731i	0.512426	+	0.858731i	$0.328747\pi$
$588$	−8.74535	+	8.39755i	−0.360652	+	0.346309i
$589$	9.06435	+	19.8482i	0.373490	+	0.817829i
$590$	0.182718	−	0.354423i	0.00752238	−	0.0145914i
$591$	−14.6934	−	2.46050i	−0.604405	−	0.101211i
$592$	−3.26284	−	1.30624i	−0.134102	−	0.0536863i
$593$	−29.7060	+	2.83658i	−1.21988	+	0.116485i	−0.685064	−	0.728483i	$-0.740226\pi$
$593$	−29.7060	+	2.83658i	−1.21988	+	0.116485i	−0.534817	+	0.844968i	$0.679620\pi$
$594$	−4.33886	+	0.953176i	−0.178026	+	0.0391093i
$595$	0.334937	+	0.0436129i	0.0137311	+	0.00178795i
$596$	−10.1947	+	8.83373i	−0.417590	+	0.361844i
$597$	4.70275	−	11.0027i	0.192471	−	0.450312i
$598$	13.9865	−	5.12435i	0.571951	−	0.209550i
$599$	−13.7345	−	7.92961i	−0.561176	−	0.323995i	0.192441	−	0.981308i	$-0.438360\pi$
$599$	−13.7345	−	7.92961i	−0.561176	−	0.323995i	−0.753617	+	0.657313i	$0.771693\pi$
$600$	−8.22961	+	2.63692i	−0.335973	+	0.107652i
$601$	−11.6794	+	18.1734i	−0.476411	+	0.741310i	−0.993402	−	0.114681i	$-0.963415\pi$
$601$	−11.6794	+	18.1734i	−0.476411	+	0.741310i	0.516992	+	0.855991i	$0.327052\pi$
$602$	10.2043	+	9.47357i	0.415895	+	0.386114i
$603$	−6.90616	−	5.96772i	−0.281241	−	0.243025i
$604$	6.59530	−	5.18660i	0.268359	−	0.211040i
$605$	0.768120	−	0.732401i	0.0312285	−	0.0297763i
$606$	18.6275	−	15.4016i	0.756690	−	0.625646i
$607$	−1.04680	−	0.745425i	−0.0424884	−	0.0302559i	0.558615	−	0.829427i	$-0.311333\pi$
$607$	−1.04680	−	0.745425i	−0.0424884	−	0.0302559i	−0.601104	+	0.799171i	$0.705272\pi$
$608$	−5.05168	+	1.48331i	−0.204873	+	0.0601560i
$609$	0.284231	−	1.84810i	0.0115176	−	0.0748888i
$610$	0.295933	−	0.341525i	0.0119820	−	0.0138279i
$611$	−4.35833	+	4.57089i	−0.176319	+	0.184918i
$612$	−1.37256	+	3.44211i	−0.0554826	+	0.139139i
$613$	0.538499	+	11.3045i	0.0217498	+	0.456584i	0.983304	+	0.181969i	$0.0582472\pi$
$613$	0.538499	+	11.3045i	0.0217498	+	0.456584i	−0.961554	+	0.274614i	$0.911450\pi$
$614$	−4.86823	−	20.0671i	−0.196466	−	0.809843i
$615$	−0.576873	−	0.576086i	−0.0232618	−	0.0232300i
$616$	−1.97377	−	1.10478i	−0.0795253	−	0.0445127i
$617$	13.6597	+	1.96397i	0.549920	+	0.0790666i	0.411674	−	0.911331i	$-0.364944\pi$
$617$	13.6597	+	1.96397i	0.549920	+	0.0790666i	0.138247	+	0.990398i	$0.455853\pi$
$618$	−11.9000	−	17.5564i	−0.478689	−	0.706223i
$619$	−3.56460	−	18.4949i	−0.143273	−	0.743372i	−0.980500	−	0.196517i	$-0.937037\pi$
$619$	−3.56460	−	18.4949i	−0.143273	−	0.743372i	0.837227	−	0.546855i	$-0.184175\pi$
$620$	0.370945	+	0.214165i	0.0148975	+	0.00860107i
$621$	−14.3785	−	20.3533i	−0.576990	−	0.816751i
$622$			20.8905i			0.837632i
$623$	−2.49283	−	22.8818i	−0.0998731	−	0.916741i
$624$	0.387447	+	5.36572i	0.0155103	+	0.214801i
$625$	23.0606	−	9.23205i	0.922422	−	0.369282i
$626$	−0.742622	−	1.04287i	−0.0296812	−	0.0416814i
$627$	7.52917	−	2.02295i	0.300686	−	0.0807887i
$628$	1.26830	−	0.307687i	0.0506107	−	0.0122780i
$629$	3.65216	−	2.34710i	0.145621	−	0.0935850i
$630$	−0.453587	−	0.683519i	−0.0180713	−	0.0272320i
$631$	37.8781	−	11.1220i	1.50790	−	0.442760i	0.579698	−	0.814831i	$-0.303170\pi$
$631$	37.8781	−	11.1220i	1.50790	−	0.442760i	0.928204	+	0.372071i	$0.121352\pi$
$632$	−0.921540	+	4.78140i	−0.0366569	+	0.190194i
$633$	−9.88861	−	6.68296i	−0.393037	−	0.265624i
$634$	7.32098	−	30.1775i	0.290753	−	1.19850i
$635$	0.661514	−	0.928966i	0.0262514	−	0.0368649i
$636$	−4.18270	−	1.55681i	−0.165855	−	0.0617317i
$637$	−12.2374	−	17.9708i	−0.484862	−	0.712030i
$638$	0.345285	−	0.0496445i	0.0136700	−	0.00196544i
$639$	−15.6312	−	2.99053i	−0.618361	−	0.118304i
$640$	−0.0638878	+	0.0812399i	−0.00252539	+	0.00321129i
$641$	14.2490	+	27.6393i	0.562803	+	1.09169i	0.982888	+	0.184202i	$0.0589699\pi$
$641$	14.2490	+	27.6393i	0.562803	+	1.09169i	−0.420085	+	0.907485i	$0.638000\pi$
$642$	6.32983	+	19.7549i	0.249818	+	0.779664i
$643$			9.42102i			0.371529i	0.982594	+	0.185764i	$0.0594761\pi$
$643$			9.42102i			0.371529i	−0.982594	+	0.185764i	$0.940524\pi$
$644$	1.41175	−	12.6098i	0.0556309	−	0.496896i
$645$	−0.753793	+	0.565086i	−0.0296806	+	0.0222503i
$646$	2.12706	−	6.14572i	0.0836879	−	0.241800i
$647$	24.3545	−	12.5556i	0.957475	−	0.493612i	0.0926566	−	0.995698i	$-0.470464\pi$
$647$	24.3545	−	12.5556i	0.957475	−	0.493612i	0.864818	+	0.502086i	$0.167434\pi$
$648$	8.49693	−	2.96684i	0.333791	−	0.116548i
$649$	−0.313539	−	3.28352i	−0.0123075	−	0.128890i
$650$	−2.20540	−	15.3389i	−0.0865030	−	0.601642i
$651$	4.65821	−	18.4119i	0.182570	−	0.721618i
$652$	−15.6036	+	10.0278i	−0.611085	+	0.392720i
$653$	−1.01175	−	0.720460i	−0.0395926	−	0.0281938i	0.560089	−	0.828432i	$-0.310767\pi$
$653$	−1.01175	−	0.720460i	−0.0395926	−	0.0281938i	−0.599682	+	0.800238i	$0.704706\pi$
$654$	−6.82440	+	2.92790i	−0.266855	+	0.114490i
$655$	−0.314324	−	0.908180i	−0.0122817	−	0.0354855i
$656$	4.47199	+	0.861905i	0.174602	+	0.0336517i
$657$	−20.3676	+	0.0278207i	−0.794615	+	0.00108539i
$658$	1.82713	+	5.06013i	0.0712290	+	0.197264i
$659$	−8.34357	−	12.9828i	−0.325019	−	0.505740i	0.639840	−	0.768508i	$-0.279001\pi$
$659$	−8.34357	−	12.9828i	−0.325019	−	0.505740i	−0.964859	+	0.262769i	$0.915364\pi$
$660$	0.0973588	−	0.118079i	0.00378969	−	0.00459622i
$661$	−4.10211	+	10.2466i	−0.159553	+	0.398545i	−0.986506	−	0.163727i	$-0.947648\pi$
$661$	−4.10211	+	10.2466i	−0.159553	+	0.398545i	0.826952	+	0.562272i	$0.190073\pi$
$662$	9.11253	−	6.48900i	0.354168	−	0.252202i
$663$	−5.67652	−	3.45471i	−0.220458	−	0.134170i
$664$	−0.721202	+	1.12221i	−0.0279881	+	0.0435503i
$665$	0.850627	+	1.16149i	0.0329859	+	0.0450407i
$666$	−10.1207	−	2.95671i	−0.392171	−	0.114570i
$667$	1.00875	+	1.67680i	0.0390590	+	0.0649260i
$668$	−0.733778	+	1.27094i	−0.0283907	+	0.0491742i
$669$	−24.4814	−	22.2246i	−0.946506	−	0.859251i
$670$	0.314087	+	0.0149618i	0.0121342	+	0.000578025i
$671$	0.531992	−	3.70009i	0.0205373	−	0.142840i
$672$	4.23742	+	1.74479i	0.163462	+	0.0673066i
$673$	−3.12593	−	21.7413i	−0.120496	−	0.838066i	−0.956996	−	0.290100i	$-0.906311\pi$
$673$	−3.12593	−	21.7413i	−0.120496	−	0.838066i	0.836501	−	0.547966i	$-0.184598\pi$
$674$	24.3711	−	5.91235i	0.938738	−	0.227735i
$675$	−23.8111	+	10.2543i	−0.916490	+	0.394688i
$676$	3.33780	+	0.318721i	0.128377	+	0.0122585i
$677$	26.1971	+	24.9789i	1.00684	+	0.960017i	0.999202	−	0.0399535i	$-0.0127210\pi$
$677$	26.1971	+	24.9789i	1.00684	+	0.960017i	0.00763566	+	0.999971i	$0.497569\pi$
$678$	1.15138	−	16.2544i	0.0442184	−	0.624246i
$679$	11.9602	+	3.33951i	0.458991	+	0.128159i
$680$	−0.0359668	−	0.122492i	−0.00137926	−	0.00469734i
$681$	−0.431367	−	17.6156i	−0.0165300	−	0.675031i
$682$	3.53913	−	0.168590i	0.135520	−	0.00645563i
$683$	2.34577	+	2.46017i	0.0897582	+	0.0941357i	0.767081	−	0.641550i	$-0.221708\pi$
$683$	2.34577	+	2.46017i	0.0897582	+	0.0941357i	−0.677323	+	0.735686i	$0.736860\pi$
$684$	−14.6554	+	5.89037i	−0.560363	+	0.225224i
$685$	−0.218145	−	0.0996236i	−0.00833490	−	0.00380642i
$686$	−18.3514	+	2.49536i	−0.700659	+	0.0952731i
$687$	3.59485	+	49.7847i	0.137152	+	1.89940i
$688$	1.72128	−	4.97330i	0.0656230	−	0.189605i
$689$	4.00162	−	6.93101i	0.152450	−	0.264050i
$690$	0.822478	+	0.246088i	0.0313112	+	0.00936840i
$691$	−20.3326	+	11.7390i	−0.773489	+	0.446574i	−0.834118	−	0.551586i	$-0.814023\pi$
$691$	−20.3326	+	11.7390i	−0.773489	+	0.446574i	0.0606290	+	0.998160i	$0.480689\pi$
$692$	−9.49595	−	10.9589i	−0.360982	−	0.416595i
$693$	−6.21326	−	2.72798i	−0.236022	−	0.103627i
$694$	−4.48009	+	31.1597i	−0.170062	+	1.18281i
$695$	0.0155028	+	0.162352i	0.000588054	+	0.00615838i
$696$	−0.682523	+	0.183381i	−0.0258710	+	0.00695105i
$697$	−4.07143	+	3.88210i	−0.154216	+	0.147045i
$698$	−29.4440	−	15.1794i	−1.11447	−	0.574550i
$699$	−21.0669	+	38.6439i	−0.796825	+	1.46165i
$700$	−12.5309	−	4.15097i	−0.473622	−	0.156892i
$701$	2.37262	+	2.05588i	0.0896125	+	0.0776497i	0.698515	−	0.715595i	$-0.253845\pi$
$701$	2.37262	+	2.05588i	0.0896125	+	0.0776497i	−0.608903	+	0.793245i	$0.708390\pi$
$702$	2.70895	+	15.9101i	0.102243	+	0.600488i
$703$	17.9826	+	4.36252i	0.678225	+	0.164536i
$704$	−0.0812658	+	0.851054i	−0.00306282	+	0.0320753i
$705$	−0.358921	+	0.0606075i	−0.0135177	+	0.00228261i
$706$	−4.78149	+	16.2843i	−0.179954	+	0.612866i
$707$	36.8519	−	2.24764i	1.38596	−	0.0845313i
$708$	1.42494	+	6.52888i	0.0535526	+	0.245370i
$709$	22.2250	−	8.89753i	0.834676	−	0.334154i	0.0853465	−	0.996351i	$-0.472800\pi$
$709$	22.2250	−	8.89753i	0.834676	−	0.334154i	0.749329	+	0.662198i	$0.230376\pi$
$710$	0.487323	−	0.251232i	0.0182889	−	0.00942859i
$711$	−1.36873	+	14.5439i	−0.0513315	+	0.545440i
$712$	−7.53415	+	4.34984i	−0.282354	+	0.163017i
$713$	8.58062	+	17.9282i	0.321347	+	0.671416i
$714$	−4.79170	+	3.01349i	−0.179325	+	0.112777i
$715$	0.179718	+	0.207406i	0.00672107	+	0.00775653i
$716$	16.6035	+	0.790923i	0.620503	+	0.0295582i
$717$	−0.269437	+	11.6533i	−0.0100623	+	0.435201i
$718$	2.16508	+	3.04042i	0.0807999	+	0.113468i
$719$	21.7284	−	17.0874i	0.810333	−	0.637253i	−0.124548	−	0.992214i	$-0.539748\pi$
$719$	21.7284	−	17.0874i	0.810333	−	0.637253i	0.934881	+	0.354960i	$0.115506\pi$
$720$	−0.167272	+	0.261064i	−0.00623386	+	0.00972927i
$721$	1.11051	−	32.3789i	0.0413576	−	1.20585i
$722$	7.93166	−	3.62227i	0.295186	−	0.134807i
$723$	3.23713	−	27.2321i	0.120390	−	1.01277i
$724$	18.0678	−	6.25332i	0.671484	−	0.232403i
$725$	1.92383	−	0.665843i	0.0714491	−	0.0247288i
$726$	−2.09955	+	17.6623i	−0.0779215	+	0.655508i
$727$	16.6178	−	7.58911i	0.616322	−	0.281465i	−0.0826897	−	0.996575i	$-0.526351\pi$
$727$	16.6178	−	7.58911i	0.616322	−	0.281465i	0.699011	+	0.715111i	$0.253624\pi$
$728$	−4.35033	+	6.97164i	−0.161234	+	0.258386i
$729$	24.5139	−	11.3168i	0.907922	−	0.419139i
$730$	0.551555	−	0.433747i	0.0204139	−	0.0160537i
$731$	3.77077	+	5.29531i	0.139467	+	0.195854i
$732$	−0.175057	+	7.57132i	−0.00647030	+	0.279844i
$733$	50.0866	+	2.38592i	1.84999	+	0.0881260i	0.942954	−	0.332923i	$-0.108035\pi$
$733$	50.0866	+	2.38592i	1.84999	+	0.0881260i	0.907038	+	0.421049i	$0.138338\pi$
$734$	9.28616	+	10.7168i	0.342758	+	0.395564i
$735$	0.0552238	−	1.25186i	0.00203696	−	0.0461754i
$736$	−4.57651	+	1.43371i	−0.168693	+	0.0528471i
$737$	2.25259	−	1.30054i	0.0829754	−	0.0479059i
$738$	13.6028	+	1.28016i	0.500725	+	0.0471233i
$739$	30.6555	−	15.8040i	1.12768	−	0.581360i	0.209614	−	0.977784i	$-0.432779\pi$
$739$	30.6555	−	15.8040i	1.12768	−	0.581360i	0.918067	+	0.396424i	$0.129749\pi$
$740$	0.337220	−	0.135003i	0.0123965	−	0.00496280i
$741$	−6.03955	−	27.6724i	−0.221868	−	1.01657i
$742$	−3.76180	−	5.68557i	−0.138100	−	0.208724i
$743$	−10.8396	+	36.9161i	−0.397665	+	1.35432i	0.480932	+	0.876758i	$0.340298\pi$
$743$	−10.8396	+	36.9161i	−0.397665	+	1.35432i	−0.878597	+	0.477564i	$0.841520\pi$
$744$	−7.07809	+	1.19521i	−0.259495	+	0.0438186i
$745$	0.132523	−	1.38785i	0.00485528	−	0.0508468i
$746$	−28.4708	−	6.90695i	−1.04239	−	0.252881i
$747$	−1.82893	+	3.55956i	−0.0669170	+	0.130237i
$748$	−0.798092	−	0.691551i	−0.0291811	−	0.0252856i
$749$	−9.96426	+	30.0799i	−0.364086	+	1.09910i
$750$	0.855917	−	1.57004i	0.0312537	−	0.0573299i
$751$	5.26258	+	2.71305i	0.192034	+	0.0990005i	0.551562	−	0.834134i	$-0.314032\pi$
$751$	5.26258	+	2.71305i	0.192034	+	0.0990005i	−0.359528	+	0.933134i	$0.617062\pi$
$752$	1.47165	−	1.40321i	0.0536655	−	0.0511699i
$753$	1.13155	−	0.304027i	0.0412361	−	0.0110794i
$754$	−0.120467	−	1.26159i	−0.00438716	−	0.0459444i
$755$	−0.123410	+	0.858336i	−0.00449135	+	0.0312380i
$756$	13.1577	+	3.98431i	0.478541	+	0.144908i
$757$	22.9386	+	26.4725i	0.833717	+	0.962161i	0.999713	−	0.0239658i	$-0.00762929\pi$
$757$	22.9386	+	26.4725i	0.833717	+	0.962161i	−0.165996	+	0.986126i	$0.553084\pi$
$758$	1.85267	−	1.06964i	0.0672920	−	0.0388511i
$759$	6.82405	−	1.96578i	0.247697	−	0.0713534i
$760$	0.272071	−	0.471240i	0.00986904	−	0.0170937i
$761$	−2.08087	+	6.01228i	−0.0754315	+	0.217945i	−0.976412	−	0.215914i	$-0.930727\pi$
$761$	−2.08087	+	6.01228i	−0.0754315	+	0.217945i	0.900981	+	0.433859i	$0.142848\pi$
$762$	1.37647	+	19.0626i	0.0498642	+	0.690565i
$763$	−11.0582	−	2.52727i	−0.400335	−	0.0914935i
$764$	−11.3431	−	5.18023i	−0.410380	−	0.187414i
$765$	−0.142828	−	0.355360i	−0.00516396	−	0.0128481i
$766$	22.8652	+	23.9803i	0.826154	+	0.866445i
$767$	−11.9698	+	0.570193i	−0.432205	+	0.0205885i
$768$	−0.0424014	−	1.73153i	−0.00153003	−	0.0624813i
$769$	−2.01242	−	6.85368i	−0.0725697	−	0.247150i	0.915217	−	0.402961i	$-0.132019\pi$
$769$	−2.01242	−	6.85368i	−0.0725697	−	0.247150i	−0.987787	+	0.155811i	$0.950201\pi$
$770$	0.226430	−	0.0581343i	0.00815996	−	0.00209502i
$771$	2.63288	−	37.1692i	0.0948209	−	1.33862i
$772$	7.39203	+	7.04829i	0.266045	+	0.253673i
$773$	29.7346	+	2.83931i	1.06948	+	0.102123i	0.614917	−	0.788592i	$-0.289190\pi$
$773$	29.7346	+	2.83931i	1.06948	+	0.102123i	0.454562	+	0.890715i	$0.349796\pi$
$774$	3.70126	−	15.3483i	0.133039	−	0.551682i
$775$	20.0948	−	4.87495i	0.721827	−	0.175113i
$776$	−0.667947	−	4.64567i	−0.0239779	−	0.166770i
$777$	−9.83146	−	12.7571i	−0.352702	−	0.457658i
$778$	−3.74507	+	26.0476i	−0.134267	+	0.933850i
$779$	−23.9509	−	1.14092i	−0.858131	−	0.0408778i
$780$	−0.411668	−	0.373718i	−0.0147401	−	0.0133813i
$781$	2.26765	−	3.92768i	0.0811429	−	0.140544i
$782$	1.83651	−	5.63208i	0.0656734	−	0.201403i
$783$	−1.98499	+	0.744998i	−0.0709377	+	0.0266241i
$784$	3.66019	+	5.96683i	0.130721	+	0.213101i
$785$	−0.0729234	+	0.113471i	−0.00260275	+	0.00404996i
$786$	13.7582	+	8.37316i	0.490738	+	0.298661i
$787$	−20.7208	+	14.7552i	−0.738618	+	0.525968i	−0.886325	−	0.463064i	$-0.846750\pi$
$787$	−20.7208	+	14.7552i	−0.738618	+	0.525968i	0.147707	+	0.989031i	$0.452811\pi$
$788$	−3.19680	+	7.98522i	−0.113881	+	0.284462i
$789$	25.5853	−	31.0305i	0.910862	−	1.10472i
$790$	−0.272083	−	0.423370i	−0.00968029	−	0.0150628i
$791$	16.0483	−	19.0269i	0.570613	−	0.676518i
$792$	0.00350330	+	2.56477i	0.000124484	+	0.0911353i
$793$	−13.3353	−	2.57017i	−0.473551	−	0.0912695i
$794$	6.44465	+	18.6206i	0.228712	+	0.660820i
$795$	0.423896	−	0.181865i	0.0150340	−	0.00645010i
$796$	−5.62737	−	4.00724i	−0.199457	−	0.142033i
$797$	−30.0930	+	19.3396i	−1.06595	+	0.685044i	−0.951270	−	0.308359i	$-0.900220\pi$
$797$	−30.0930	+	19.3396i	−1.06595	+	0.685044i	−0.114679	+	0.993403i	$0.536584\pi$
$798$	−23.3900	−	5.91768i	−0.827998	−	0.209484i
$799$	0.357456	+	2.48616i	0.0126459	+	0.0879540i
$800$	0.474265	+	4.96673i	0.0167678	+	0.175600i
$801$	−21.2390	+	15.1680i	−0.750442	+	0.535934i
$802$	12.4973	−	6.44280i	0.441295	−	0.227503i
$803$	1.89839	−	5.48503i	0.0669927	−	0.193563i
$804$	−4.21644	+	3.16089i	−0.148702	+	0.111476i
$805$	0.793743	+	1.04389i	0.0279758	+	0.0367923i
$806$		−	12.8723i		−	0.453409i
$807$	3.74815	+	11.6977i	0.131941	+	0.411778i
$808$	−6.39436	−	12.4033i	−0.224953	−	0.436348i
$809$	−33.5491	+	42.6611i	−1.17952	+	1.49988i	−0.354249	+	0.935151i	$0.615263\pi$
$809$	−33.5491	+	42.6611i	−1.17952	+	1.49988i	−0.825273	+	0.564733i	$0.808979\pi$
$810$	−0.423966	+	0.827925i	−0.0148967	+	0.0290903i
$811$	−30.3496	+	4.36361i	−1.06572	+	0.153227i	−0.652792	−	0.757537i	$-0.726402\pi$
$811$	−30.3496	+	4.36361i	−1.06572	+	0.153227i	−0.412926	+	0.910764i	$0.635493\pi$
$812$	−1.00747	−	0.387846i	−0.0353553	−	0.0136107i
$813$	47.3404	+	17.6202i	1.66030	+	0.617968i
$814$	1.74291	−	2.44757i	0.0610889	−	0.0857874i
$815$	0.451944	−	1.86294i	0.0158309	−	0.0652558i
$816$	1.77262	+	1.19798i	0.0620543	+	0.0419378i
$817$	−5.24379	+	27.2073i	−0.183457	+	0.951865i
$818$	−13.6386	+	4.00465i	−0.476862	+	0.140019i
$819$	−10.9737	+	22.0758i	−0.383451	+	0.771391i
$820$	−0.395973	+	0.254476i	−0.0138280	+	0.00888670i
$821$	8.55517	−	2.07546i	0.298577	−	0.0724341i	−0.0836718	−	0.996493i	$-0.526665\pi$
$821$	8.55517	−	2.07546i	0.298577	−	0.0724341i	0.382249	+	0.924059i	$0.375150\pi$
$822$	3.88139	−	1.04286i	0.135379	−	0.0363738i
$823$	−13.8123	−	19.3966i	−0.481465	−	0.676123i	0.500380	−	0.865806i	$-0.333193\pi$
$823$	−13.8123	−	19.3966i	−0.481465	−	0.676123i	−0.981845	+	0.189683i	$0.939254\pi$
$824$	−11.3681	+	4.55110i	−0.396027	+	0.158545i
$825$	−0.532091	−	7.36887i	−0.0185250	−	0.256551i
$826$	−4.11646	+	9.34098i	−0.143230	+	0.325014i
$827$			35.7155i			1.24195i	0.783831	+	0.620974i	$0.213263\pi$
$827$			35.7155i			1.24195i	−0.783831	+	0.620974i	$0.786737\pi$
$828$	−13.2509	+	5.60482i	−0.460500	+	0.194781i
$829$	24.1616	+	13.9497i	0.839166	+	0.484493i	0.856981	−	0.515349i	$-0.172338\pi$
$829$	24.1616	+	13.9497i	0.839166	+	0.484493i	−0.0178146	+	0.999841i	$0.505671\pi$
$830$	−0.0260918	−	0.135377i	−0.000905661	−	0.00469902i
$831$	−13.7367	−	20.2661i	−0.476521	−	0.703025i
$832$	3.07435	+	0.442025i	0.106584	+	0.0153245i
$833$	−8.62627	−	0.592414i	−0.298883	−	0.0205259i
$834$	−1.93399	−	1.93135i	−0.0669686	−	0.0668772i
$835$	−0.0357586	−	0.147399i	−0.00123748	−	0.00510095i
$836$	−0.214173	−	4.49604i	−0.00740731	−	0.155499i
$837$	−20.7896	+	5.61625i	−0.718595	+	0.194126i
$838$	−15.4266	+	16.1789i	−0.532903	+	0.558892i
$839$	7.78651	−	8.98611i	0.268820	−	0.310235i	−0.605249	−	0.796036i	$-0.706927\pi$
$839$	7.78651	−	8.98611i	0.268820	−	0.310235i	0.874069	+	0.485801i	$0.161472\pi$
$840$	−0.441395	+	0.171708i	−0.0152296	+	0.00592449i
$841$	−27.6656	+	8.12334i	−0.953985	+	0.280115i
$842$	20.1887	+	14.3763i	0.695748	+	0.495440i
$843$	−16.5291	+	13.6666i	−0.569292	+	0.470701i
$844$	−4.98706	+	4.75515i	−0.171662	+	0.163679i
$845$	−0.272396	+	0.214215i	−0.00937071	+	0.00736921i
$846$	3.98850	−	4.61570i	0.137127	−	0.158691i
$847$	−18.4856	+	19.9114i	−0.635173	+	0.684164i
$848$	−1.39309	+	2.16769i	−0.0478388	+	0.0744386i
$849$	−6.92638	+	2.21934i	−0.237713	+	0.0761675i
$850$	−5.33727	−	3.08147i	−0.183067	−	0.105694i
$851$	16.4491	+	3.67849i	0.563869	+	0.126097i
$852$	−3.61123	+	8.44897i	−0.123719	+	0.289457i
$853$	−31.9864	+	27.7164i	−1.09519	+	0.948992i	−0.998925	−	0.0463635i	$-0.985237\pi$
$853$	−31.9864	+	27.7164i	−1.09519	+	0.948992i	−0.0962702	+	0.995355i	$0.530691\pi$
$854$	−7.02944	+	9.18785i	−0.240542	+	0.314402i
$855$	0.676104	−	1.48583i	0.0231223	−	0.0508143i
$856$	11.9225	−	1.13846i	0.407501	−	0.0389116i
$857$	20.0980	+	8.04602i	0.686534	+	0.274847i	0.688590	−	0.725151i	$-0.258230\pi$
$857$	20.0980	+	8.04602i	0.686534	+	0.274847i	−0.00205549	+	0.999998i	$0.500654\pi$
$858$	−4.53607	−	0.759593i	−0.154859	−	0.0259321i
$859$	13.8529	−	26.8709i	0.472655	−	0.916823i	−0.525176	−	0.850994i	$-0.676000\pi$
$859$	13.8529	−	26.8709i	0.472655	−	0.916823i	0.997831	−	0.0658293i	$-0.0209693\pi$
$860$	0.225950	+	0.494762i	0.00770483	+	0.0168712i
$861$	15.6381	+	13.8211i	0.532944	+	0.471023i
$862$	−17.6473	+	20.3661i	−0.601070	+	0.693672i
$863$	2.54384	−	13.1987i	0.0865932	−	0.449288i	−0.912590	−	0.408876i	$-0.865921\pi$
$863$	2.54384	−	13.1987i	0.0865932	−	0.449288i	0.999183	−	0.0404120i	$-0.0128670\pi$
$864$	−0.627452	−	5.15813i	−0.0213464	−	0.175483i
$865$	1.49189	+	0.142458i	0.0507257	+	0.00484372i
$866$	−28.7559	−	14.8247i	−0.977166	−	0.503764i
$867$	25.1058	−	9.38353i	0.852639	−	0.318681i
$868$	−9.81215	−	4.89425i	−0.333046	−	0.166122i
$869$	−3.78677	−	1.72936i	−0.128458	−	0.0586646i
$870$	0.0379732	−	0.0623949i	0.00128741	−	0.00211538i
$871$	−4.33013	−	8.39928i	−0.146721	−	0.284599i
$872$	0.811393	+	4.20991i	0.0274772	+	0.142565i
$873$	−3.33825	−	13.6789i	−0.112983	−	0.462960i
$874$	22.7756	−	10.9006i	0.770396	−	0.368720i
$875$	2.46934	−	1.16769i	0.0834789	−	0.0394753i
$876$	−2.49176	+	11.4922i	−0.0841887	+	0.388286i
$877$	0.887588	−	18.6328i	0.0299717	−	0.629184i	−0.933048	−	0.359752i	$-0.882861\pi$
$877$	0.887588	−	18.6328i	0.0299717	−	0.629184i	0.963020	−	0.269431i	$-0.0868358\pi$
$878$	21.3847	+	16.8171i	0.721698	+	0.567550i
$879$	−52.8668	−	16.8599i	−1.78315	−	0.568670i
$880$	−0.0546193	−	0.0694541i	−0.00184122	−	0.00234130i
$881$	43.3588	+	12.7313i	1.46079	+	0.428928i	0.913095	−	0.407748i	$-0.133686\pi$
$881$	43.3588	+	12.7313i	1.46079	+	0.428928i	0.547699	+	0.836675i	$0.315504\pi$
$882$	12.6553	+	16.7584i	0.426126	+	0.564284i
$883$	−8.06280	−	17.6551i	−0.271335	−	0.594141i	0.724088	−	0.689708i	$-0.242261\pi$
$883$	−8.06280	−	17.6551i	−0.271335	−	0.594141i	−0.995423	+	0.0955669i	$0.969534\pi$
$884$	−2.64754	+	2.77666i	−0.0890464	+	0.0933891i
$885$	−0.572230	−	0.386727i	−0.0192353	−	0.0129997i
$886$	10.6736	+	30.8394i	0.358588	+	1.03607i
$887$	39.9052	+	38.0495i	1.33989	+	1.27758i	0.931012	+	0.364988i	$0.118927\pi$
$887$	39.9052	+	38.0495i	1.33989	+	1.27758i	0.408874	+	0.912591i	$0.365922\pi$
$888$	−2.91376	+	5.34483i	−0.0977795	+	0.179361i
$889$	−15.4553	+	24.7679i	−0.518353	+	0.830688i
$890$	0.253313	−	0.862706i	0.00849109	−	0.0289180i
$891$	0.752314	+	7.65746i	0.0252035	+	0.256535i
$892$	−15.5502	+	11.0732i	−0.520658	+	0.370759i
$893$	−6.61788	+	8.41532i	−0.221459	+	0.281608i
$894$	13.1092	+	19.3403i	0.438436	+	0.646837i
$895$	−1.29834	+	1.12502i	−0.0433987	+	0.0376052i
$896$	1.50585	−	2.17541i	0.0503070	−	0.0726753i
$897$	−5.95400	−	25.1037i	−0.198798	−	0.838187i
$898$	11.6650	+	20.2044i	0.389268	+	0.674231i
$899$	1.66048	−	0.320031i	0.0553800	−	0.0106736i
$900$	2.85278	+	14.6936i	0.0950926	+	0.489786i
$901$	−1.18295	−	2.95486i	−0.0394096	−	0.0984405i
$902$	−1.61745	+	3.54172i	−0.0538552	+	0.117927i
$903$	18.3803	−	15.6138i	0.611657	−	0.519596i
$904$	−9.02689	−	2.65053i	−0.300230	−	0.0881555i
$905$	−0.905463	+	1.75635i	−0.0300986	+	0.0583831i
$906$	−7.57222	−	12.4039i	−0.251570	−	0.412094i
$907$	−6.67690	+	27.5226i	−0.221703	+	0.913872i	0.746836	+	0.665009i	$0.231572\pi$
$907$	−6.67690	+	27.5226i	−0.221703	+	0.913872i	−0.968539	+	0.248863i	$0.919943\pi$
$908$	−9.98956	−	1.92533i	−0.331515	−	0.0638943i
$909$	−22.6813	−	35.1871i	−0.752293	−	1.16708i
$910$	−0.171822	−	0.831742i	−0.00569585	−	0.0275720i
$911$	34.2769	−	15.6537i	1.13564	−	0.518631i	0.243283	−	0.969955i	$-0.421776\pi$
$911$	34.2769	−	15.6537i	1.13564	−	0.518631i	0.892360	+	0.451325i	$0.149048\pi$
$912$	1.51837	+	8.99186i	0.0502783	+	0.297750i
$913$	−0.787001	−	0.825383i	−0.0260459	−	0.0273162i
$914$	−9.01648	+	22.5221i	−0.298239	+	0.744964i
$915$	−0.526899	−	0.578814i	−0.0174187	−	0.0191350i
$916$	28.5247	+	4.10123i	0.942482	+	0.135509i
$917$	9.44697	+	22.7160i	0.311966	+	0.750147i
$918$	5.63961	+	3.06448i	0.186135	+	0.101143i
$919$	11.4609	+	19.8508i	0.378059	+	0.654817i	0.990780	−	0.135482i	$-0.0432584\pi$
$919$	11.4609	+	19.8508i	0.378059	+	0.654817i	−0.612721	+	0.790299i	$0.709925\pi$
$920$	0.240066	−	0.433641i	0.00791475	−	0.0142967i
$921$	−35.5096	+	4.27029i	−1.17008	+	0.140711i
$922$	21.5738	+	7.46678i	0.710497	+	0.245905i
$923$	−13.8612	−	8.90806i	−0.456247	−	0.293212i
$924$	−2.30369	+	3.16889i	−0.0757859	+	0.104249i
$925$	7.28449	−	15.9508i	0.239513	−	0.524460i
$926$	−17.8138	−	22.6521i	−0.585399	−	0.744396i
$927$	−32.6290	+	16.8779i	−1.07168	+	0.554342i
$928$	0.0194149	+	0.407568i	0.000637324	+	0.0133791i
$929$	4.65826	−	6.54160i	0.152832	−	0.214623i	−0.731060	−	0.682313i	$-0.760974\pi$
$929$	4.65826	−	6.54160i	0.152832	−	0.214623i	0.883893	+	0.467690i	$0.154914\pi$
$930$	0.444192	−	0.594216i	0.0145656	−	0.0194851i
$931$	−23.5454	−	28.3528i	−0.771668	−	0.929224i
$932$	19.2044	+	16.6407i	0.629061	+	0.545085i
$933$	35.9304	+	4.27112i	1.17631	+	0.139830i
$934$	0.638546	−	6.68715i	0.0208938	−	0.218810i
$935$	0.109019	−	0.00519320i	0.00356529	−	0.000169836i
$936$	9.30794	+	0.430650i	0.304239	+	0.0140762i
$937$	−22.0280	+	3.16715i	−0.719625	+	0.103466i	−0.492391	−	0.870374i	$-0.663877\pi$
$937$	−22.0280	+	3.16715i	−0.719625	+	0.103466i	−0.227233	+	0.973840i	$0.572968\pi$
$938$	−8.04886	+	0.107185i	−0.262805	+	0.00349970i
$939$	−1.94550	+	1.06405i	−0.0634890	+	0.0347240i
$940$	−0.00999965	+	0.209918i	−0.000326153	+	0.00684678i
$941$	−11.8806	+	2.28979i	−0.387295	+	0.0746450i	−0.379182	−	0.925322i	$-0.623795\pi$
$941$	−11.8806	+	2.28979i	−0.387295	+	0.0746450i	−0.00811299	+	0.999967i	$0.502582\pi$
$942$	−0.269895	−	2.24431i	−0.00879366	−	0.0731236i
$943$	−21.8320	−	0.646611i	−0.710949	−	0.0210565i
$944$	3.85818			0.125573
$945$	−1.26835	+	0.640396i	−0.0412594	+	0.0208321i
$946$	3.78502	+	2.43248i	0.123061	+	0.0790868i
$947$	2.97497	+	7.43113i	0.0966737	+	0.241479i	0.968820	−	0.247766i	$-0.0796965\pi$
$947$	2.97497	+	7.43113i	0.0966737	+	0.241479i	−0.872146	+	0.489245i	$0.837272\pi$
$948$	8.03532	+	2.56257i	0.260975	+	0.0832283i
$949$	−19.5765	−	7.83726i	−0.635481	−	0.254408i
$950$	−6.19303	−	25.5280i	−0.200928	−	0.828238i
$951$	−50.4068	−	18.7615i	−1.63455	−	0.608385i
$952$	1.10992	+	3.07386i	0.0359727	+	0.0996242i
$953$	−11.8121	−	40.2283i	−0.382631	−	1.30312i	−0.895656	−	0.444748i	$-0.853293\pi$
$953$	−11.8121	−	40.2283i	−0.382631	−	1.30312i	0.513025	−	0.858374i	$-0.328525\pi$
$954$	−3.53279	+	6.87571i	−0.114378	+	0.222609i
$955$	1.21791	−	0.421524i	0.0394108	−	0.0136402i
$956$	6.54013	+	1.58662i	0.211523	+	0.0513149i
$957$	−0.0147911	−	0.604020i	−0.000478129	−	0.0195252i
$958$	20.1647	+	31.3769i	0.651492	+	1.01374i
$959$	5.72931	+	2.20561i	0.185009	+	0.0712230i
$960$	0.126666	+	0.126493i	0.00408812	+	0.00408254i
$961$	−13.7614	+	1.31406i	−0.443917	+	0.0423889i
$962$	−8.58073	−	6.74796i	−0.276654	−	0.217563i
$963$	35.2714	−	6.84799i	1.13661	−	0.220673i
$964$	−14.9623	−	5.17852i	−0.481904	−	0.166789i
$965$	−1.05561			−0.0339812
$966$	−21.3995	−	5.00624i	−0.688517	−	0.161073i
$967$	−28.4415			−0.914616			−0.457308	−	0.889308i	$-0.651186\pi$
$967$	−28.4415			−0.914616			−0.457308	+	0.889308i	$0.651186\pi$
$968$	9.70431	+	3.35869i	0.311908	+	0.107953i
$969$	−10.1354	−	4.91492i	−0.325596	−	0.157890i
$970$	0.381295	+	0.299854i	0.0122427	+	0.00962773i
$971$	48.8361	−	4.66328i	1.56723	−	0.149652i	0.724989	−	0.688760i	$-0.241845\pi$
$971$	48.8361	−	4.66328i	1.56723	−	0.149652i	0.842236	+	0.539109i	$0.181239\pi$
$972$	−3.36556	−	15.2208i	−0.107950	−	0.488208i
$973$	−0.649145	−	4.12427i	−0.0208106	−	0.132218i
$974$	−15.4418	−	24.0279i	−0.494786	−	0.769902i
$975$	−26.8329	+	0.657080i	−0.859342	+	0.0210434i
$976$	4.24922	+	1.03085i	0.136014	+	0.0329967i
$977$	−10.5340	+	3.64585i	−0.337013	+	0.116641i	−0.490333	−	0.871535i	$-0.663125\pi$
$977$	−10.5340	+	3.64585i	−0.337013	+	0.116641i	0.153320	+	0.988177i	$0.451003\pi$
$978$	14.0571	+	28.8875i	0.449496	+	0.923721i
$979$	−2.09541	−	7.13631i	−0.0669696	−	0.228077i
$980$	−0.699338	−	0.185266i	−0.0223395	−	0.00591811i
$981$	3.64054	+	12.3362i	0.116234	+	0.393864i
$982$	0.873710	+	3.60148i	0.0278812	+	0.114928i
$983$	−3.67399	−	1.47084i	−0.117182	−	0.0469126i	0.312331	−	0.949973i	$-0.398890\pi$
$983$	−3.67399	−	1.47084i	−0.117182	−	0.0469126i	−0.429513	+	0.903061i	$0.641315\pi$
$984$	2.39674	−	7.51534i	0.0764052	−	0.239580i
$985$	−0.330395	−	0.825286i	−0.0105273	−	0.0262958i
$986$	−0.424000	−	0.272489i	−0.0135029	−	0.00867780i
$987$	9.07669	−	2.10800i	0.288914	−	0.0670985i
$988$	−16.3527			−0.520250
$989$	−4.32994	+	24.8651i	−0.137684	+	0.790663i
$990$	−0.183184	−	0.191593i	−0.00582197	−	0.00608923i
$991$	6.35182	−	1.22421i	0.201772	−	0.0388884i	−0.0873636	−	0.996176i	$-0.527844\pi$
$991$	6.35182	−	1.22421i	0.201772	−	0.0388884i	0.289136	+	0.957288i	$0.406632\pi$
$992$	−0.197198	+	4.13970i	−0.00626104	+	0.131436i
$993$	−9.29762	−	16.9997i	−0.295051	−	0.539469i
$994$	−12.0605	+	7.17896i	−0.382537	+	0.227703i
$995$	0.706722	−	0.101611i	0.0224046	−	0.00322130i
$996$	1.78269	+	1.46987i	0.0564866	+	0.0465745i
$997$	−39.8157	+	1.89665i	−1.26098	+	0.0600677i	−0.667393	−	0.744706i	$-0.732590\pi$
$997$	−39.8157	+	1.89665i	−1.26098	+	0.0600677i	−0.593582	+	0.804773i	$0.702287\pi$
$998$	1.68296	−	17.6247i	0.0532730	−	0.557901i
$999$	−7.15458	+	16.8026i	−0.226361	+	0.531610i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.bd.a.59.11	✓	1280
3.2	odd	2	inner	966.2.bd.a.59.64	yes	1280
7.5	odd	6	inner	966.2.bd.a.887.53	yes	1280
21.5	even	6	inner	966.2.bd.a.887.23	yes	1280
23.16	even	11	inner	966.2.bd.a.269.23	yes	1280
69.62	odd	22	inner	966.2.bd.a.269.53	yes	1280
161.131	odd	66	inner	966.2.bd.a.131.64	yes	1280
483.131	even	66	inner	966.2.bd.a.131.11	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.bd.a.59.11	✓	1280	1.1	even	1	trivial
966.2.bd.a.59.64	yes	1280	3.2	odd	2	inner
966.2.bd.a.131.11	yes	1280	483.131	even	66	inner
966.2.bd.a.131.64	yes	1280	161.131	odd	66	inner
966.2.bd.a.269.23	yes	1280	23.16	even	11	inner
966.2.bd.a.269.53	yes	1280	69.62	odd	22	inner
966.2.bd.a.887.23	yes	1280	21.5	even	6	inner
966.2.bd.a.887.53	yes	1280	7.5	odd	6	inner

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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-0.755746 + 1.55848i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.102884 + 0.00982421i) q^{5} +(1.22391 - 1.22558i) q^{6} +(2.61358 - 0.411367i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-1.85770 - 2.35562i) q^{9} +O(q^{10})\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-0.755746 + 1.55848i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.102884 + 0.00982421i) q^{5} +(1.22391 - 1.22558i) q^{6} +(2.61358 - 0.411367i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-1.85770 - 2.35562i) q^{9} +(0.100438 + 0.0243661i) q^{10} +(0.807905 - 0.279619i) q^{11} +(-1.55744 + 0.757874i) q^{12} +(-0.875051 - 2.98015i) q^{13} +(-2.60438 - 0.466074i) q^{14} +(0.0624432 - 0.167766i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-1.14675 - 0.459088i) q^{17} +(0.985075 + 2.83366i) q^{18} +(-1.95678 - 4.88781i) q^{19} +(-0.0869450 - 0.0558762i) q^{20} +(-1.33409 + 4.38408i) q^{21} -0.854925 q^{22} +(-1.86224 - 4.41951i) q^{23} +(1.71966 - 0.206802i) q^{24} +(-4.89915 + 0.944235i) q^{25} +(-0.147788 + 3.10245i) q^{26} +(5.07513 - 1.11492i) q^{27} +(2.30870 + 1.29225i) q^{28} +(-0.403877 + 0.0580688i) q^{29} +(-0.113880 + 0.138116i) q^{30} +(-4.13970 + 0.197198i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(-0.174792 + 1.47042i) q^{33} +(0.933523 + 0.808902i) q^{34} +(-0.264853 + 0.0679993i) q^{35} +(-0.00409778 - 3.00000i) q^{36} +(-2.03867 + 2.86291i) q^{37} +(0.250516 + 5.25898i) q^{38} +(5.30581 + 0.888490i) q^{39} +(0.0638878 + 0.0812399i) q^{40} +(1.89192 - 4.14273i) q^{41} +(2.69461 - 3.70662i) q^{42} +(-4.42730 - 2.84526i) q^{43} +(0.807905 + 0.279619i) q^{44} +(0.214269 + 0.224105i) q^{45} +(0.314338 + 4.78552i) q^{46} +(-1.01671 - 1.76099i) q^{47} +(-1.69272 - 0.367018i) q^{48} +(6.66155 - 2.15028i) q^{49} +(4.93853 + 0.710054i) q^{50} +(1.58213 - 1.44022i) q^{51} +(1.15437 - 2.88348i) q^{52} +(1.77815 + 1.86487i) q^{53} +(-5.16066 - 0.606310i) q^{54} +(-0.0803733 + 0.0367053i) q^{55} +(-1.75907 - 1.97628i) q^{56} +(9.09636 + 0.644340i) q^{57} +(0.400657 + 0.0772202i) q^{58} +(0.909602 - 3.74943i) q^{59} +(0.152790 - 0.0932735i) q^{60} +(2.00358 - 3.88641i) q^{61} +(3.97651 + 1.16761i) q^{62} +(-5.82426 - 5.39241i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(0.119306 + 0.298012i) q^{65} +(0.646106 - 1.33238i) q^{66} +(2.98747 - 0.575788i) q^{67} +(-0.617614 - 1.06974i) q^{68} +(8.29508 + 0.437771i) q^{69} +(0.272527 + 0.0223655i) q^{70} +(4.00918 - 3.47397i) q^{71} +(-0.977331 + 2.83634i) q^{72} +(4.19681 - 5.33667i) q^{73} +(2.86291 - 2.03867i) q^{74} +(2.23095 - 8.34882i) q^{75} +(1.48331 - 5.05168i) q^{76} +(1.99650 - 1.06315i) q^{77} +(-4.72340 - 2.57499i) q^{78} +(-3.52415 - 3.36027i) q^{79} +(-0.0338030 - 0.0976675i) q^{80} +(-2.09793 + 8.75207i) q^{81} +(-3.14282 + 3.29610i) q^{82} +(-0.554154 - 1.21343i) q^{83} +(-3.75873 + 2.62144i) q^{84} +(0.122492 + 0.0359668i) q^{85} +(3.25321 + 4.13680i) q^{86} +(0.214730 - 0.673318i) q^{87} +(-0.672017 - 0.528480i) q^{88} +(0.413948 - 8.68983i) q^{89} +(-0.129187 - 0.281860i) q^{90} +(-3.51295 - 7.42888i) q^{91} +(1.26814 - 4.62513i) q^{92} +(2.82123 - 6.60065i) q^{93} +(0.384825 + 1.99666i) q^{94} +(0.249340 + 0.483652i) q^{95} +(1.47958 + 0.900466i) q^{96} +(4.26931 + 1.94973i) q^{97} +(-6.99846 - 0.146765i) q^{98} +(-2.15952 - 1.38367i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) \) 1280 * q - 64 * q^4 + 4 * q^9	\( 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) \) 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Introduction

L-functions

Modular forms

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