LMFDB - Embedded newform 966.2.q.i.211.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, 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:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			211.4
Character	$\chi$	$=$	966.211
Dual form			966.2.q.i.673.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(2.75663 + 1.77158i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(2.75663 + 1.77158i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.466338 + 3.24345i) q^{10} +(1.55768 - 3.41084i) q^{11} +(0.415415 - 0.909632i) q^{12} +(-0.870248 + 6.05271i) q^{13} +(0.841254 - 0.540641i) q^{14} +(-3.14407 - 0.923183i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(3.15616 + 3.64240i) q^{17} +(0.841254 + 0.540641i) q^{18} +(1.00463 - 1.15941i) q^{19} +(-3.14407 + 0.923183i) q^{20} +(0.415415 + 0.909632i) q^{21} +3.74969 q^{22} +(3.00107 + 3.74080i) q^{23} +1.00000 q^{24} +(2.38343 + 5.21898i) q^{25} +(-5.86725 + 1.72278i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.841254 + 0.540641i) q^{28} +(-4.86729 - 5.61715i) q^{29} +(-0.466338 - 3.24345i) q^{30} +(6.68572 + 1.96311i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.533637 + 3.71152i) q^{33} +(-2.00213 + 4.38405i) q^{34} +(1.36124 - 2.98069i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-1.78794 + 1.14904i) q^{37} +(1.47197 + 0.432211i) q^{38} +(-0.870248 - 6.05271i) q^{39} +(-2.14585 - 2.47645i) q^{40} +(3.95504 + 2.54175i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(-4.61272 + 1.35442i) q^{43} +(1.55768 + 3.41084i) q^{44} +3.27681 q^{45} +(-2.15606 + 4.28385i) q^{46} -12.2356 q^{47} +(0.415415 + 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(-3.75724 + 4.33609i) q^{50} +(-4.05450 - 2.60567i) q^{51} +(-4.00444 - 4.62137i) q^{52} +(0.865304 + 6.01832i) q^{53} +(-0.959493 - 0.281733i) q^{54} +(10.3365 - 6.64286i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(-0.637295 + 1.39548i) q^{57} +(3.08759 - 6.76089i) q^{58} +(0.463346 - 3.22264i) q^{59} +(2.75663 - 1.77158i) q^{60} +(-0.218070 - 0.0640311i) q^{61} +(0.991646 + 6.89705i) q^{62} +(-0.654861 - 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-13.1218 + 15.1433i) q^{65} +(-3.59780 + 1.05641i) q^{66} +(1.75780 + 3.84905i) q^{67} -4.81959 q^{68} +(-3.93341 - 2.74377i) q^{69} +3.27681 q^{70} +(1.93329 + 4.23331i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(1.30881 - 1.51044i) q^{73} +(-1.78794 - 1.14904i) q^{74} +(-3.75724 - 4.33609i) q^{75} +(0.218328 + 1.51850i) q^{76} +(-3.59780 - 1.05641i) q^{77} +(5.14422 - 3.30599i) q^{78} +(0.963736 - 6.70293i) q^{79} +(1.36124 - 2.98069i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.669074 + 4.65351i) q^{82} +(-6.51055 + 4.18407i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(2.24756 + 15.6321i) q^{85} +(-3.14822 - 3.63324i) q^{86} +(6.25266 + 4.01834i) q^{87} +(-2.45553 + 2.83383i) q^{88} +(-13.7564 + 4.03924i) q^{89} +(1.36124 + 2.98069i) q^{90} +6.11495 q^{91} +(-4.79239 - 0.181645i) q^{92} -6.96797 q^{93} +(-5.08285 - 11.1299i) q^{94} +(4.82338 - 1.41627i) q^{95} +(-0.654861 + 0.755750i) q^{96} +(1.00056 + 0.643019i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.533637 - 3.71152i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{11}\right)$

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 $

$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	2.75663	+	1.77158i	1.23280	+	0.792273i	0.984325	−	0.176365i	$-0.0564340\pi$
$5$	2.75663	+	1.77158i	1.23280	+	0.792273i	0.248476	+	0.968638i	$0.420070\pi$
$6$	−0.654861	−	0.755750i	−0.267346	−	0.308533i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	−0.466338	+	3.24345i	−0.147469	+	1.02567i
$11$	1.55768	−	3.41084i	0.469658	−	1.02841i	−0.515521	−	0.856877i	$-0.672402\pi$
$11$	1.55768	−	3.41084i	0.469658	−	1.02841i	0.985179	−	0.171530i	$-0.0548710\pi$
$12$	0.415415	−	0.909632i	0.119920	−	0.262588i
$13$	−0.870248	+	6.05271i	−0.241363	+	1.67872i	0.403934	+	0.914788i	$0.367643\pi$
$13$	−0.870248	+	6.05271i	−0.241363	+	1.67872i	−0.645297	+	0.763932i	$0.723267\pi$
$14$	0.841254	−	0.540641i	0.224834	−	0.144492i
$15$	−3.14407	−	0.923183i	−0.811796	−	0.238365i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	3.15616	+	3.64240i	0.765481	+	0.883412i	0.995972	−	0.0896620i	$-0.0285787\pi$
$17$	3.15616	+	3.64240i	0.765481	+	0.883412i	−0.230491	+	0.973074i	$0.574033\pi$
$18$	0.841254	+	0.540641i	0.198285	+	0.127430i
$19$	1.00463	−	1.15941i	0.230479	−	0.265987i	−0.628716	−	0.777635i	$-0.716419\pi$
$19$	1.00463	−	1.15941i	0.230479	−	0.265987i	0.859195	+	0.511648i	$0.170965\pi$
$20$	−3.14407	+	0.923183i	−0.703036	+	0.206430i
$21$	0.415415	+	0.909632i	0.0906510	+	0.198498i
$22$	3.74969			0.799437
$23$	3.00107	+	3.74080i	0.625766	+	0.780011i
$23$	3.00107	+	3.74080i	0.625766	+	0.780011i
$24$	1.00000			0.204124
$25$	2.38343	+	5.21898i	0.476686	+	1.04380i
$26$	−5.86725	+	1.72278i	−1.15066	+	0.337865i
$27$	−0.654861	+	0.755750i	−0.126028	+	0.145444i
$28$	0.841254	+	0.540641i	0.158982	+	0.102172i
$29$	−4.86729	−	5.61715i	−0.903832	−	1.04308i	−0.998866	−	0.0476040i	$-0.984841\pi$
$29$	−4.86729	−	5.61715i	−0.903832	−	1.04308i	0.0950340	−	0.995474i	$-0.469704\pi$
$30$	−0.466338	−	3.24345i	−0.0851413	−	0.592171i
$31$	6.68572	+	1.96311i	1.20079	+	0.352584i	0.820155	−	0.572141i	$-0.193887\pi$
$31$	6.68572	+	1.96311i	1.20079	+	0.352584i	0.380636	+	0.924725i	$0.375705\pi$
$32$	0.841254	−	0.540641i	0.148714	−	0.0955727i
$33$	−0.533637	+	3.71152i	−0.0928942	+	0.646094i
$34$	−2.00213	+	4.38405i	−0.343362	+	0.751859i
$35$	1.36124	−	2.98069i	0.230091	−	0.503828i
$36$	−0.142315	+	0.989821i	−0.0237191	+	0.164970i
$37$	−1.78794	+	1.14904i	−0.293936	+	0.188901i	−0.679294	−	0.733866i	$-0.737714\pi$
$37$	−1.78794	+	1.14904i	−0.293936	+	0.188901i	0.385359	+	0.922767i	$0.374078\pi$
$38$	1.47197	+	0.432211i	0.238786	+	0.0701138i
$39$	−0.870248	−	6.05271i	−0.139351	−	0.969209i
$40$	−2.14585	−	2.47645i	−0.339289	−	0.391560i
$41$	3.95504	+	2.54175i	0.617673	+	0.396954i	0.811728	−	0.584036i	$-0.198527\pi$
$41$	3.95504	+	2.54175i	0.617673	+	0.396954i	−0.194054	+	0.980991i	$0.562164\pi$
$42$	−0.654861	+	0.755750i	−0.101047	+	0.116615i
$43$	−4.61272	+	1.35442i	−0.703434	+	0.206547i	−0.613839	−	0.789431i	$-0.710375\pi$
$43$	−4.61272	+	1.35442i	−0.703434	+	0.206547i	−0.0895951	+	0.995978i	$0.528557\pi$
$44$	1.55768	+	3.41084i	0.234829	+	0.514203i
$45$	3.27681			0.488478
$46$	−2.15606	+	4.28385i	−0.317894	+	0.631620i
$47$	−12.2356			−1.78475			−0.892373	−	0.451299i	$-0.850961\pi$
$47$	−12.2356			−1.78475			−0.892373	+	0.451299i	$0.850961\pi$
$48$	0.415415	+	0.909632i	0.0599600	+	0.131294i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	−3.75724	+	4.33609i	−0.531354	+	0.613216i
$51$	−4.05450	−	2.60567i	−0.567743	−	0.364866i
$52$	−4.00444	−	4.62137i	−0.555316	−	0.640869i
$53$	0.865304	+	6.01832i	0.118859	+	0.826680i	0.958816	+	0.284028i	$0.0916707\pi$
$53$	0.865304	+	6.01832i	0.118859	+	0.826680i	−0.839958	+	0.542652i	$0.817420\pi$
$54$	−0.959493	−	0.281733i	−0.130570	−	0.0383389i
$55$	10.3365	−	6.64286i	1.39377	−	0.895723i
$56$	−0.142315	+	0.989821i	−0.0190176	+	0.132270i
$57$	−0.637295	+	1.39548i	−0.0844118	+	0.184836i
$58$	3.08759	−	6.76089i	0.405421	−	0.887748i
$59$	0.463346	−	3.22264i	0.0603225	−	0.419552i	−0.937176	−	0.348858i	$-0.886570\pi$
$59$	0.463346	−	3.22264i	0.0603225	−	0.419552i	0.997498	−	0.0706939i	$-0.0225214\pi$
$60$	2.75663	−	1.77158i	0.355879	−	0.228709i
$61$	−0.218070	−	0.0640311i	−0.0279210	−	0.00819834i	0.267742	−	0.963491i	$-0.413722\pi$
$61$	−0.218070	−	0.0640311i	−0.0279210	−	0.00819834i	−0.295663	+	0.955292i	$0.595541\pi$
$62$	0.991646	+	6.89705i	0.125939	+	0.875926i
$63$	−0.654861	−	0.755750i	−0.0825047	−	0.0952155i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	−13.1218	+	15.1433i	−1.62756	+	1.87830i
$66$	−3.59780	+	1.05641i	−0.442859	+	0.130035i
$67$	1.75780	+	3.84905i	0.214750	+	0.470236i	0.986095	−	0.166180i	$-0.0531433\pi$
$67$	1.75780	+	3.84905i	0.214750	+	0.470236i	−0.771346	+	0.636416i	$0.780416\pi$
$68$	−4.81959			−0.584461
$69$	−3.93341	−	2.74377i	−0.473527	−	0.330311i
$70$	3.27681			0.391653
$71$	1.93329	+	4.23331i	0.229439	+	0.502401i	0.988978	−	0.148060i	$-0.0473029\pi$
$71$	1.93329	+	4.23331i	0.229439	+	0.502401i	−0.759539	+	0.650461i	$0.774576\pi$
$72$	−0.959493	+	0.281733i	−0.113077	+	0.0332025i
$73$	1.30881	−	1.51044i	0.153184	−	0.176784i	−0.673971	−	0.738758i	$-0.735413\pi$
$73$	1.30881	−	1.51044i	0.153184	−	0.176784i	0.827155	+	0.561974i	$0.189958\pi$
$74$	−1.78794	−	1.14904i	−0.207844	−	0.133573i
$75$	−3.75724	−	4.33609i	−0.433849	−	0.500688i
$76$	0.218328	+	1.51850i	0.0250439	+	0.174184i
$77$	−3.59780	−	1.05641i	−0.410008	−	0.120389i
$78$	5.14422	−	3.30599i	0.582469	−	0.374330i
$79$	0.963736	−	6.70293i	0.108429	−	0.754139i	−0.860971	−	0.508653i	$-0.830144\pi$
$79$	0.963736	−	6.70293i	0.108429	−	0.754139i	0.969400	−	0.245485i	$-0.0789474\pi$
$80$	1.36124	−	2.98069i	0.152191	−	0.333251i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−0.669074	+	4.65351i	−0.0738868	+	0.513894i
$83$	−6.51055	+	4.18407i	−0.714625	+	0.459262i	−0.846764	−	0.531970i	$-0.821452\pi$
$83$	−6.51055	+	4.18407i	−0.714625	+	0.459262i	0.132138	+	0.991231i	$0.457816\pi$
$84$	−0.959493	−	0.281733i	−0.104689	−	0.0307395i
$85$	2.24756	+	15.6321i	0.243782	+	1.69554i
$86$	−3.14822	−	3.63324i	−0.339481	−	0.391782i
$87$	6.25266	+	4.01834i	0.670355	+	0.430811i
$88$	−2.45553	+	2.83383i	−0.261760	+	0.302087i
$89$	−13.7564	+	4.03924i	−1.45817	+	0.428158i	−0.912235	−	0.409668i	$-0.865645\pi$
$89$	−13.7564	+	4.03924i	−1.45817	+	0.428158i	−0.545938	+	0.837826i	$0.683826\pi$
$90$	1.36124	+	2.98069i	0.143487	+	0.314192i
$91$	6.11495			0.641021
$92$	−4.79239	−	0.181645i	−0.499641	−	0.0189378i
$93$	−6.96797			−0.722545
$94$	−5.08285	−	11.1299i	−0.524256	−	1.14796i
$95$	4.82338	−	1.41627i	0.494868	−	0.145306i
$96$	−0.654861	+	0.755750i	−0.0668364	+	0.0771334i
$97$	1.00056	+	0.643019i	0.101591	+	0.0652887i	0.590450	−	0.807074i	$-0.298950\pi$
$97$	1.00056	+	0.643019i	0.101591	+	0.0652887i	−0.488859	+	0.872363i	$0.662587\pi$
$98$	−0.654861	−	0.755750i	−0.0661509	−	0.0763422i
$99$	−0.533637	−	3.71152i	−0.0536325	−	0.373022i
$100$	−5.50506	−	1.61643i	−0.550506	−	0.161643i
$101$	14.4548	−	9.28953i	1.43831	−	0.924343i	0.438635	−	0.898665i	$-0.355462\pi$
$101$	14.4548	−	9.28953i	1.43831	−	0.924343i	0.999670	−	0.0256771i	$-0.00817416\pi$
$102$	0.685899	−	4.77053i	0.0679141	−	0.472353i
$103$	6.04024	−	13.2263i	0.595162	−	1.30322i	−0.337110	−	0.941465i	$-0.609449\pi$
$103$	6.04024	−	13.2263i	0.595162	−	1.30322i	0.932272	−	0.361758i	$-0.117823\pi$
$104$	2.54024	−	5.56236i	0.249091	−	0.545434i
$105$	−0.466338	+	3.24345i	−0.0455100	+	0.316529i
$106$	−5.11500	+	3.28721i	−0.496812	+	0.319282i
$107$	16.3922	+	4.81319i	1.58470	+	0.465309i	0.951235	−	0.308466i	$-0.0998157\pi$
$107$	16.3922	+	4.81319i	1.58470	+	0.465309i	0.633461	+	0.773775i	$0.281634\pi$
$108$	−0.142315	−	0.989821i	−0.0136943	−	0.0952456i
$109$	−7.40293	−	8.54344i	−0.709072	−	0.818313i	0.280876	−	0.959744i	$-0.409375\pi$
$109$	−7.40293	−	8.54344i	−0.709072	−	0.818313i	−0.989948	+	0.141431i	$0.954830\pi$
$110$	10.3365	+	6.64286i	0.985546	+	0.633372i
$111$	1.39179	−	1.60622i	0.132103	−	0.152455i
$112$	−0.959493	+	0.281733i	−0.0906636	+	0.0266212i
$113$	4.42907	+	9.69831i	0.416652	+	0.912340i	0.995307	+	0.0967680i	$0.0308505\pi$
$113$	4.42907	+	9.69831i	0.416652	+	0.912340i	−0.578655	+	0.815572i	$0.696422\pi$
$114$	−1.53412			−0.143683
$115$	1.64572	+	15.6286i	0.153464	+	1.45738i
$116$	7.43255			0.690095
$117$	2.54024	+	5.56236i	0.234846	+	0.514240i
$118$	3.12390	−	0.917259i	0.287578	−	0.0844405i
$119$	3.15616	−	3.64240i	0.289325	−	0.333899i
$120$	2.75663	+	1.77158i	0.251644	+	0.161722i
$121$	−2.00400	−	2.31273i	−0.182181	−	0.210249i
$122$	−0.0323448	−	0.224963i	−0.00292836	−	0.0203672i
$123$	−4.51093	−	1.32453i	−0.406736	−	0.119429i
$124$	−5.86183	+	3.76717i	−0.526408	+	0.338302i
$125$	−0.343910	+	2.39194i	−0.0307602	+	0.213942i
$126$	0.415415	−	0.909632i	0.0370081	−	0.0810365i
$127$	−3.70568	+	8.11431i	−0.328826	+	0.720028i	−0.999769	−	0.0214803i	$-0.993162\pi$
$127$	−3.70568	+	8.11431i	−0.328826	+	0.720028i	0.670943	+	0.741509i	$0.265889\pi$
$128$	−0.142315	+	0.989821i	−0.0125790	+	0.0874887i
$129$	4.04429	−	2.59911i	0.356080	−	0.228839i
$130$	−19.2259	−	5.64522i	−1.68622	−	0.495119i
$131$	−0.813021	−	5.65469i	−0.0710340	−	0.494052i	−0.994018	−	0.109214i	$-0.965166\pi$
$131$	−0.813021	−	5.65469i	−0.0710340	−	0.494052i	0.922984	−	0.384838i	$-0.125743\pi$
$132$	−2.45553	−	2.83383i	−0.213726	−	0.246653i
$133$	−1.29058	−	0.829406i	−0.111908	−	0.0719187i
$134$	−2.77100	+	3.19791i	−0.239378	+	0.276257i
$135$	−3.14407	+	0.923183i	−0.270599	+	0.0794550i
$136$	−2.00213	−	4.38405i	−0.171681	−	0.375929i
$137$	−16.1416			−1.37907			−0.689533	−	0.724254i	$-0.742184\pi$
$137$	−16.1416			−1.37907			−0.689533	+	0.724254i	$0.742184\pi$
$138$	0.861824	−	4.71776i	0.0733633	−	0.401602i
$139$	15.1171			1.28222			0.641109	−	0.767450i	$-0.278475\pi$
$139$	15.1171			1.28222			0.641109	+	0.767450i	$0.278475\pi$
$140$	1.36124	+	2.98069i	0.115045	+	0.251914i
$141$	11.7400	−	3.44717i	0.988684	−	0.290304i
$142$	−3.04764	+	3.51716i	−0.255752	+	0.295153i
$143$	19.2893	+	12.3965i	1.61305	+	1.03664i
$144$	−0.654861	−	0.755750i	−0.0545717	−	0.0629791i
$145$	−3.46608	−	24.1071i	−0.287843	−	2.00199i
$146$	1.91765	+	0.563071i	0.158705	+	0.0466001i
$147$	0.841254	−	0.540641i	0.0693854	−	0.0445913i
$148$	0.302466	−	2.10370i	0.0248625	−	0.172923i
$149$	0.279221	−	0.611409i	0.0228747	−	0.0500886i	−0.897850	−	0.440302i	$-0.854871\pi$
$149$	0.279221	−	0.611409i	0.0228747	−	0.0500886i	0.920725	+	0.390213i	$0.127599\pi$
$150$	2.38343	−	5.21898i	0.194606	−	0.426128i
$151$	1.22939	−	8.55061i	0.100047	−	0.695839i	−0.876637	−	0.481153i	$-0.840218\pi$
$151$	1.22939	−	8.55061i	0.100047	−	0.695839i	0.976683	−	0.214686i	$-0.0688728\pi$
$152$	−1.29058	+	0.829406i	−0.104680	+	0.0672737i
$153$	4.62436	+	1.35784i	0.373858	+	0.109774i
$154$	−0.533637	−	3.71152i	−0.0430017	−	0.299083i
$155$	14.9522	+	17.2558i	1.20099	+	1.38602i
$156$	5.14422	+	3.30599i	0.411868	+	0.264691i
$157$	14.2011	−	16.3889i	1.13337	−	1.30798i	0.187932	−	0.982182i	$-0.439822\pi$
$157$	14.2011	−	16.3889i	1.13337	−	1.30798i	0.945439	−	0.325798i	$-0.105633\pi$
$158$	6.49755	−	1.90785i	0.516917	−	0.151781i
$159$	−2.52581	−	5.53075i	−0.200310	−	0.438617i
$160$	3.27681			0.259054
$161$	3.27563	−	3.50289i	0.258156	−	0.276067i
$162$	1.00000			0.0785674
$163$	−10.3236	−	22.6056i	−0.808608	−	1.77061i	−0.613277	−	0.789868i	$-0.710149\pi$
$163$	−10.3236	−	22.6056i	−0.808608	−	1.77061i	−0.195332	−	0.980737i	$-0.562578\pi$
$164$	−4.51093	+	1.32453i	−0.352244	+	0.103428i
$165$	−8.04629	+	9.28591i	−0.626402	+	0.722907i
$166$	−6.51055	−	4.18407i	−0.505316	−	0.324747i
$167$	−5.27545	−	6.08819i	−0.408226	−	0.471118i	0.513988	−	0.857797i	$-0.328168\pi$
$167$	−5.27545	−	6.08819i	−0.408226	−	0.471118i	−0.922214	+	0.386679i	$0.873622\pi$
$168$	−0.142315	−	0.989821i	−0.0109798	−	0.0763664i
$169$	−23.4046	−	6.87220i	−1.80035	−	0.528631i
$170$	−13.2858	+	8.53827i	−1.01897	+	0.654855i
$171$	0.218328	−	1.51850i	0.0166959	−	0.116123i
$172$	1.99709	−	4.37302i	0.152277	−	0.333440i
$173$	5.50965	−	12.0644i	0.418891	−	0.917243i	−0.576110	−	0.817372i	$-0.695430\pi$
$173$	5.50965	−	12.0644i	0.418891	−	0.917243i	0.995000	−	0.0998704i	$-0.0318428\pi$
$174$	−1.05776	+	7.35690i	−0.0801887	+	0.557725i
$175$	4.82667	−	3.10191i	0.364862	−	0.234482i
$176$	−3.59780	−	1.05641i	−0.271195	−	0.0796299i
$177$	0.463346	+	3.22264i	0.0348272	+	0.242228i
$178$	−9.38882	−	10.8353i	−0.703722	−	0.812138i
$179$	−3.59341	−	2.30934i	−0.268584	−	0.172608i	0.399416	−	0.916770i	$-0.369213\pi$
$179$	−3.59341	−	2.30934i	−0.268584	−	0.172608i	−0.668000	+	0.744161i	$0.732849\pi$
$180$	−2.14585	+	2.47645i	−0.159942	+	0.184583i
$181$	5.72958	−	1.68236i	0.425876	−	0.125049i	−0.0617689	−	0.998090i	$-0.519674\pi$
$181$	5.72958	−	1.68236i	0.425876	−	0.125049i	0.487645	+	0.873042i	$0.337856\pi$
$182$	2.54024	+	5.56236i	0.188295	+	0.412309i
$183$	0.227276			0.0168007
$184$	−1.82560	−	4.43477i	−0.134585	−	0.326936i
$185$	−6.96430			−0.512025
$186$	−2.89460	−	6.33829i	−0.212242	−	0.464746i
$187$	17.3399	−	5.09146i	1.26802	−	0.372325i
$188$	8.01262	−	9.24705i	0.584380	−	0.674411i
$189$	0.841254	+	0.540641i	0.0611922	+	0.0393258i
$190$	3.29199	+	3.79916i	0.238826	+	0.275620i
$191$	−0.0340888	−	0.237093i	−0.00246658	−	0.0171554i	0.988551	−	0.150887i	$-0.0482130\pi$
$191$	−0.0340888	−	0.237093i	−0.00246658	−	0.0171554i	−0.991018	+	0.133732i	$0.957304\pi$
$192$	−0.959493	−	0.281733i	−0.0692454	−	0.0203323i
$193$	11.7316	−	7.53941i	0.844456	−	0.542699i	−0.0453854	−	0.998970i	$-0.514452\pi$
$193$	11.7316	−	7.53941i	0.844456	−	0.542699i	0.889841	+	0.456271i	$0.150815\pi$
$194$	−0.169264	+	1.17726i	−0.0121525	+	0.0845222i
$195$	8.32389	−	18.2268i	0.596086	−	1.30525i
$196$	0.415415	−	0.909632i	0.0296725	−	0.0649737i
$197$	1.51646	−	10.5472i	0.108043	−	0.751459i	−0.861715	−	0.507393i	$-0.830609\pi$
$197$	1.51646	−	10.5472i	0.108043	−	0.751459i	0.969759	−	0.244066i	$-0.0784815\pi$
$198$	3.15444	−	2.02724i	0.224176	−	0.144069i
$199$	3.99421	+	1.17281i	0.283142	+	0.0831380i	0.420220	−	0.907422i	$-0.361953\pi$
$199$	3.99421	+	1.17281i	0.283142	+	0.0831380i	−0.137078	+	0.990560i	$0.543771\pi$
$200$	−0.816527	−	5.67907i	−0.0577372	−	0.401571i
$201$	−2.77100	−	3.19791i	−0.195451	−	0.225563i
$202$	14.4548	+	9.28953i	1.01704	+	0.653609i
$203$	−4.86729	+	5.61715i	−0.341616	+	0.394246i
$204$	4.62436	−	1.35784i	0.323770	−	0.0950675i
$205$	6.39966	+	14.0133i	0.446972	+	0.978731i
$206$	14.5403			1.01307
$207$	4.54709	+	1.52446i	0.316045	+	0.105957i
$208$	6.11495			0.423996
$209$	−2.38966	−	5.23263i	−0.165296	−	0.361948i
$210$	−3.14407	+	0.923183i	−0.216962	+	0.0637057i
$211$	12.5495	−	14.4828i	0.863940	−	0.997040i	−0.136040	−	0.990703i	$-0.543438\pi$
$211$	12.5495	−	14.4828i	0.863940	−	0.997040i	0.999980	−	0.00633634i	$-0.00201693\pi$
$212$	−5.11500	−	3.28721i	−0.351299	−	0.225766i
$213$	−3.04764	−	3.51716i	−0.208821	−	0.240992i
$214$	2.43134	+	16.9104i	0.166203	+	1.15597i
$215$	−15.1150	−	4.43817i	−1.03084	−	0.302680i
$216$	0.841254	−	0.540641i	0.0572401	−	0.0367859i
$217$	0.991646	−	6.89705i	0.0673173	−	0.468202i
$218$	4.69610	−	10.2830i	0.318060	−	0.696454i
$219$	−0.830250	+	1.81799i	−0.0561031	+	0.122849i
$220$	−1.74862	+	12.1620i	−0.117892	+	0.819959i
$221$	−24.7931	+	15.9335i	−1.66776	+	1.07180i
$222$	2.03924	+	0.598775i	0.136865	+	0.0401871i
$223$	−2.63017	−	18.2932i	−0.176129	−	1.22500i	−0.865617	−	0.500707i	$-0.833073\pi$
$223$	−2.63017	−	18.2932i	−0.176129	−	1.22500i	0.689488	−	0.724297i	$-0.257836\pi$
$224$	−0.654861	−	0.755750i	−0.0437547	−	0.0504956i
$225$	4.82667	+	3.10191i	0.321778	+	0.206794i
$226$	−6.98199	+	8.05765i	−0.464435	+	0.535987i
$227$	2.94910	−	0.865934i	0.195739	−	0.0574740i	−0.182394	−	0.983226i	$-0.558385\pi$
$227$	2.94910	−	0.865934i	0.195739	−	0.0574740i	0.378132	+	0.925752i	$0.376566\pi$
$228$	−0.637295	−	1.39548i	−0.0422059	−	0.0924181i
$229$	22.7708			1.50474			0.752370	−	0.658741i	$-0.228911\pi$
$229$	22.7708			1.50474			0.752370	+	0.658741i	$0.228911\pi$
$230$	−13.5326	+	7.98936i	−0.892315	+	0.526803i
$231$	3.74969			0.246712
$232$	3.08759	+	6.76089i	0.202710	+	0.443874i
$233$	−13.6163	+	3.99812i	−0.892036	+	0.261925i	−0.695461	−	0.718564i	$-0.744800\pi$
$233$	−13.6163	+	3.99812i	−0.892036	+	0.261925i	−0.196574	+	0.980489i	$0.562982\pi$
$234$	−4.00444	+	4.62137i	−0.261779	+	0.302109i
$235$	−33.7290	−	21.6763i	−2.20024	−	1.41401i
$236$	2.13208	+	2.46055i	0.138787	+	0.160168i
$237$	0.963736	+	6.70293i	0.0626014	+	0.435402i
$238$	4.62436	+	1.35784i	0.299753	+	0.0880154i
$239$	12.0725	−	7.75851i	0.780904	−	0.501856i	−0.0884296	−	0.996082i	$-0.528185\pi$
$239$	12.0725	−	7.75851i	0.780904	−	0.501856i	0.869333	+	0.494226i	$0.164548\pi$
$240$	−0.466338	+	3.24345i	−0.0301020	+	0.209364i
$241$	−9.64660	+	21.1231i	−0.621392	+	1.36066i	0.293111	+	0.956079i	$0.405310\pi$
$241$	−9.64660	+	21.1231i	−0.621392	+	1.36066i	−0.914503	+	0.404580i	$0.867418\pi$
$242$	1.27125	−	2.78364i	0.0817189	−	0.178939i
$243$	−0.142315	+	0.989821i	−0.00912950	+	0.0634971i
$244$	0.191197	−	0.122875i	0.0122401	−	0.00786625i
$245$	−3.14407	−	0.923183i	−0.200868	−	0.0589800i
$246$	−0.669074	−	4.65351i	−0.0426586	−	0.296697i
$247$	6.14328	+	7.08973i	0.390888	+	0.451108i
$248$	−5.86183	−	3.76717i	−0.372227	−	0.239216i
$249$	5.06803	−	5.84882i	0.321174	−	0.370654i
$250$	−2.31865	+	0.680818i	−0.146645	+	0.0430587i
$251$	3.74154	+	8.19284i	0.236164	+	0.517127i	0.990192	−	0.139715i	$-0.0446188\pi$
$251$	3.74154	+	8.19284i	0.236164	+	0.517127i	−0.754028	+	0.656843i	$0.771891\pi$
$252$	1.00000			0.0629941
$253$	17.4340	−	4.40921i	1.09606	−	0.277205i
$254$	−8.92043			−0.559717
$255$	−6.56059	−	14.3657i	−0.410840	−	0.899615i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−5.73646	+	6.62023i	−0.357831	+	0.412959i	−0.905912	−	0.423467i	$-0.860813\pi$
$257$	−5.73646	+	6.62023i	−0.357831	+	0.412959i	0.548081	+	0.836425i	$0.315359\pi$
$258$	4.04429	+	2.59911i	0.251787	+	0.161813i
$259$	1.39179	+	1.60622i	0.0864819	+	0.0998055i
$260$	−2.85164	−	19.8336i	−0.176851	−	1.23003i
$261$	−7.13148	−	2.09399i	−0.441428	−	0.129615i
$262$	4.80594	−	3.08859i	0.296912	−	0.190814i
$263$	−1.03380	+	7.19027i	−0.0637471	+	0.443371i	0.932804	+	0.360385i	$0.117355\pi$
$263$	−1.03380	+	7.19027i	−0.0637471	+	0.443371i	−0.996551	+	0.0829858i	$0.973554\pi$
$264$	1.55768	−	3.41084i	0.0958685	−	0.209923i
$265$	−8.27659	+	18.1232i	−0.508427	+	1.11330i
$266$	0.218328	−	1.51850i	0.0133865	−	0.0931053i
$267$	12.0612	−	7.75124i	0.738131	−	0.474368i
$268$	−4.06003	−	1.19213i	−0.248006	−	0.0728211i
$269$	3.44621	+	23.9689i	0.210119	+	1.46141i	0.772754	+	0.634706i	$0.218879\pi$
$269$	3.44621	+	23.9689i	0.210119	+	1.46141i	−0.562635	+	0.826706i	$0.690212\pi$
$270$	−2.14585	−	2.47645i	−0.130592	−	0.150712i
$271$	1.57383	+	1.01144i	0.0956033	+	0.0614405i	0.587569	−	0.809174i	$-0.300085\pi$
$271$	1.57383	+	1.01144i	0.0956033	+	0.0614405i	−0.491966	+	0.870615i	$0.663721\pi$
$272$	3.15616	−	3.64240i	0.191370	−	0.220853i
$273$	−5.86725	+	1.72278i	−0.355102	+	0.104267i
$274$	−6.70545	−	14.6829i	−0.405091	−	0.887025i
$275$	21.5137			1.29733
$276$	4.64944	−	1.17589i	0.279863	−	0.0707800i
$277$	15.1334			0.909278			0.454639	−	0.890676i	$-0.349768\pi$
$277$	15.1334			0.909278			0.454639	+	0.890676i	$0.349768\pi$
$278$	6.27988	+	13.7510i	0.376642	+	0.824731i
$279$	6.68572	−	1.96311i	0.400264	−	0.117528i
$280$	−2.14585	+	2.47645i	−0.128239	+	0.147996i
$281$	−19.8637	−	12.7656i	−1.18497	−	0.761533i	−0.208675	−	0.977985i	$-0.566915\pi$
$281$	−19.8637	−	12.7656i	−1.18497	−	0.761533i	−0.976293	+	0.216452i	$0.930551\pi$
$282$	8.01262	+	9.24705i	0.477144	+	0.550654i
$283$	2.83230	+	19.6991i	0.168363	+	1.17099i	0.882268	+	0.470747i	$0.156015\pi$
$283$	2.83230	+	19.6991i	0.168363	+	1.17099i	−0.713906	+	0.700242i	$0.753075\pi$
$284$	−4.46535	−	1.31115i	−0.264970	−	0.0778022i
$285$	−4.22899	+	2.71781i	−0.250504	+	0.160989i
$286$	−3.26316	+	22.6958i	−0.192955	+	1.34203i
$287$	1.95302	−	4.27651i	0.115283	−	0.252434i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	−0.886400	+	6.16505i	−0.0521412	+	0.362650i
$290$	20.4888	−	13.1673i	1.20314	−	0.773212i
$291$	−1.14119	−	0.335083i	−0.0668976	−	0.0196429i
$292$	0.284431	+	1.97826i	0.0166451	+	0.115769i
$293$	12.7250	+	14.6854i	0.743400	+	0.857930i	0.993911	−	0.110184i	$-0.0351440\pi$
$293$	12.7250	+	14.6854i	0.743400	+	0.857930i	−0.250511	+	0.968114i	$0.580599\pi$
$294$	0.841254	+	0.540641i	0.0490629	+	0.0315308i
$295$	6.98642	−	8.06276i	0.406765	−	0.469432i
$296$	2.03924	−	0.598775i	0.118528	−	0.0348031i
$297$	1.55768	+	3.41084i	0.0903857	+	0.197917i
$298$	0.672150			0.0389366
$299$	−25.2536	+	14.9092i	−1.46046	+	0.862220i
$300$	5.73747			0.331253
$301$	1.99709	+	4.37302i	0.115110	+	0.252057i
$302$	8.28862	−	2.43376i	0.476957	−	0.140047i
$303$	−11.2521	+	12.9856i	−0.646416	+	0.746004i
$304$	−1.29058	−	0.829406i	−0.0740199	−	0.0475697i
$305$	−0.487701	−	0.562837i	−0.0279257	−	0.0322280i
$306$	0.685899	+	4.77053i	0.0392102	+	0.272713i
$307$	−8.74923	−	2.56900i	−0.499345	−	0.146621i	0.0223548	−	0.999750i	$-0.492884\pi$
$307$	−8.74923	−	2.56900i	−0.499345	−	0.146621i	−0.521700	+	0.853129i	$0.674702\pi$
$308$	3.15444	−	2.02724i	0.179741	−	0.115513i
$309$	−2.06929	+	14.3923i	−0.117718	+	0.818747i
$310$	−9.48505	+	20.7694i	−0.538715	+	1.17962i
$311$	−8.64590	+	18.9319i	−0.490264	+	1.07353i	0.489248	+	0.872144i	$0.337271\pi$
$311$	−8.64590	+	18.9319i	−0.490264	+	1.07353i	−0.979512	+	0.201384i	$0.935456\pi$
$312$	−0.870248	+	6.05271i	−0.0492681	+	0.342667i
$313$	23.7867	−	15.2868i	1.34450	−	0.864059i	0.347223	−	0.937783i	$-0.387125\pi$
$313$	23.7867	−	15.2868i	1.34450	−	0.864059i	0.997279	+	0.0737237i	$0.0234883\pi$
$314$	20.8073	+	6.10956i	1.17422	+	0.344783i
$315$	−0.466338	−	3.24345i	−0.0262752	−	0.182748i
$316$	4.43462	+	5.11783i	0.249467	+	0.287900i
$317$	19.2602	+	12.3778i	1.08176	+	0.695206i	0.954964	−	0.296722i	$-0.0958935\pi$
$317$	19.2602	+	12.3778i	1.08176	+	0.695206i	0.126798	+	0.991929i	$0.459530\pi$
$318$	3.98169	−	4.59511i	0.223282	−	0.257681i
$319$	−26.7408	+	7.85182i	−1.49720	+	0.439618i
$320$	1.36124	+	2.98069i	0.0760954	+	0.166626i
$321$	−17.0843			−0.953550
$322$	4.54709	+	1.52446i	0.253399	+	0.0849548i
$323$	7.39382			0.411403
$324$	0.415415	+	0.909632i	0.0230786	+	0.0505351i
$325$	−33.6632	+	9.88440i	−1.86730	+	0.548288i
$326$	16.2742	−	18.7814i	0.901343	−	1.04021i
$327$	9.51003	+	6.11172i	0.525906	+	0.337979i
$328$	−3.07874	−	3.55305i	−0.169995	−	0.196185i
$329$	1.74131	+	12.1111i	0.0960014	+	0.667704i
$330$	−11.7893	−	3.46165i	−0.648980	−	0.190558i
$331$	13.2286	−	8.50153i	0.727112	−	0.467286i	−0.123992	−	0.992283i	$-0.539570\pi$
$331$	13.2286	−	8.50153i	0.727112	−	0.467286i	0.851104	+	0.524997i	$0.175934\pi$
$332$	1.10139	−	7.66033i	0.0604466	−	0.420415i
$333$	−0.882894	+	1.93327i	−0.0483823	+	0.105942i
$334$	3.34651	−	7.32784i	0.183113	−	0.400962i
$335$	−1.97328	+	13.7245i	−0.107812	+	0.749848i
$336$	0.841254	−	0.540641i	0.0458941	−	0.0294944i
$337$	0.228098	+	0.0669756i	0.0124253	+	0.00364839i	0.287939	−	0.957649i	$-0.407030\pi$
$337$	0.228098	+	0.0669756i	0.0124253	+	0.00364839i	−0.275514	+	0.961297i	$0.588848\pi$
$338$	−3.47143	−	24.1443i	−0.188821	−	1.31328i
$339$	−6.98199	−	8.05765i	−0.379210	−	0.437631i
$340$	−13.2858	−	8.53827i	−0.720524	−	0.463053i
$341$	17.1100	−	19.7460i	0.926561	−	1.06931i
$342$	1.47197	−	0.432211i	0.0795953	−	0.0233713i
$343$	0.415415	+	0.909632i	0.0224303	+	0.0491155i
$344$	4.80746			0.259201
$345$	−5.98214	−	14.5319i	−0.322068	−	0.782370i
$346$	13.2630			0.713023
$347$	−10.6108	−	23.2344i	−0.569617	−	1.24729i	−0.947001	−	0.321231i	$-0.895903\pi$
$347$	−10.6108	−	23.2344i	−0.569617	−	1.24729i	0.377383	−	0.926057i	$-0.376824\pi$
$348$	−7.13148	+	2.09399i	−0.382287	+	0.112250i
$349$	5.70151	−	6.57989i	0.305195	−	0.352213i	−0.582347	−	0.812940i	$-0.697866\pi$
$349$	5.70151	−	6.57989i	0.305195	−	0.352213i	0.887542	+	0.460727i	$0.152411\pi$
$350$	4.82667	+	3.10191i	0.257996	+	0.165804i
$351$	−4.00444	−	4.62137i	−0.213741	−	0.246671i
$352$	−0.533637	−	3.71152i	−0.0284429	−	0.197825i
$353$	−16.2175	−	4.76187i	−0.863168	−	0.253449i	−0.179961	−	0.983674i	$-0.557597\pi$
$353$	−16.2175	−	4.76187i	−0.863168	−	0.253449i	−0.683207	+	0.730225i	$0.739415\pi$
$354$	−2.73894	+	1.76021i	−0.145573	+	0.0935539i
$355$	−2.17028	+	15.0946i	−0.115186	+	0.801139i
$356$	5.95586	−	13.0415i	0.315660	−	0.691199i
$357$	−2.00213	+	4.38405i	−0.105964	+	0.232029i
$358$	0.607897	−	4.22801i	0.0321283	−	0.223458i
$359$	−14.6794	+	9.43387i	−0.774748	+	0.497901i	−0.867287	−	0.497809i	$-0.834138\pi$
$359$	−14.6794	+	9.43387i	−0.774748	+	0.497901i	0.0925385	+	0.995709i	$0.470502\pi$
$360$	−3.14407	−	0.923183i	−0.165707	−	0.0486560i
$361$	2.36904	+	16.4770i	0.124686	+	0.867213i
$362$	3.91048	+	4.51293i	0.205530	+	0.237194i
$363$	2.57439	+	1.65446i	0.135121	+	0.0868367i
$364$	−4.00444	+	4.62137i	−0.209890	+	0.242226i
$365$	6.28375	−	1.84508i	0.328907	−	0.0965757i
$366$	0.0944139	+	0.206738i	0.00493509	+	0.0108063i
$367$	−8.60141			−0.448990			−0.224495	−	0.974475i	$-0.572073\pi$
$367$	−8.60141			−0.448990			−0.224495	+	0.974475i	$0.572073\pi$
$368$	3.27563	−	3.50289i	0.170754	−	0.182601i
$369$	4.70136			0.244743
$370$	−2.89307	−	6.33495i	−0.150404	−	0.329338i
$371$	5.83392	−	1.71299i	0.302882	−	0.0889341i
$372$	4.56305	−	5.26604i	0.236583	−	0.273032i
$373$	−23.9045	−	15.3625i	−1.23773	−	0.795440i	−0.252652	−	0.967557i	$-0.581303\pi$
$373$	−23.9045	−	15.3625i	−1.23773	−	0.795440i	−0.985076	+	0.172117i	$0.944939\pi$
$374$	11.8346	+	13.6579i	0.611954	+	0.706232i
$375$	−0.343910	−	2.39194i	−0.0177594	−	0.123519i
$376$	11.7400	+	3.44717i	0.605443	+	0.177774i
$377$	38.2347	−	24.5720i	1.96919	−	1.26552i
$378$	−0.142315	+	0.989821i	−0.00731989	+	0.0509109i
$379$	−8.77238	+	19.2088i	−0.450607	+	0.986691i	0.538922	+	0.842356i	$0.318832\pi$
$379$	−8.77238	+	19.2088i	−0.450607	+	0.986691i	−0.989529	+	0.144336i	$0.953895\pi$
$380$	−2.08829	+	4.57273i	−0.107127	+	0.234576i
$381$	1.26951	−	8.82963i	0.0650389	−	0.452356i
$382$	0.201506	−	0.129500i	0.0103100	−	0.00662580i
$383$	−29.4651	−	8.65172i	−1.50559	−	0.442082i	−0.578115	−	0.815955i	$-0.696211\pi$
$383$	−29.4651	−	8.65172i	−1.50559	−	0.442082i	−0.927480	+	0.373873i	$0.878030\pi$
$384$	−0.142315	−	0.989821i	−0.00726247	−	0.0505116i
$385$	−8.04629	−	9.28591i	−0.410077	−	0.473254i
$386$	11.7316	+	7.53941i	0.597120	+	0.383746i
$387$	−3.14822	+	3.63324i	−0.160033	+	0.184688i
$388$	−1.14119	+	0.335083i	−0.0579350	+	0.0170112i
$389$	−8.47851	−	18.5653i	−0.429877	−	0.941300i	−0.993347	−	0.115163i	$-0.963261\pi$
$389$	−8.47851	−	18.5653i	−0.429877	−	0.941300i	0.563469	−	0.826137i	$-0.309466\pi$
$390$	20.0375			1.01464
$391$	−4.15364	+	22.7377i	−0.210059	+	1.14989i
$392$	1.00000			0.0505076
$393$	2.37320	+	5.19658i	0.119712	+	0.262133i
$394$	10.2241	−	3.00205i	0.515081	−	0.151241i
$395$	14.5314	−	16.7701i	0.731155	−	0.843797i
$396$	3.15444	+	2.02724i	0.158517	+	0.101872i
$397$	−3.56751	−	4.11713i	−0.179048	−	0.206633i	0.659130	−	0.752029i	$-0.270925\pi$
$397$	−3.56751	−	4.11713i	−0.179048	−	0.206633i	−0.838178	+	0.545396i	$0.816379\pi$
$398$	0.592433	+	4.12046i	0.0296960	+	0.206540i
$399$	1.47197	+	0.432211i	0.0736909	+	0.0216376i
$400$	4.82667	−	3.10191i	0.241333	−	0.155095i
$401$	5.04027	−	35.0558i	0.251699	−	1.75060i	−0.336311	−	0.941751i	$-0.609179\pi$
$401$	5.04027	−	35.0558i	0.251699	−	1.75060i	0.588010	−	0.808854i	$-0.299912\pi$
$402$	1.75780	−	3.84905i	0.0876712	−	0.191973i
$403$	−17.7003	+	38.7584i	−0.881717	+	1.93069i
$404$	−2.44532	+	17.0075i	−0.121659	+	0.846157i
$405$	2.75663	−	1.77158i	0.136978	−	0.0880303i
$406$	−7.13148	−	2.09399i	−0.353929	−	0.103923i
$407$	1.13415	+	7.88821i	0.0562179	+	0.391004i
$408$	3.15616	+	3.64240i	0.156253	+	0.180326i
$409$	3.26826	+	2.10039i	0.161605	+	0.103857i	0.618944	−	0.785435i	$-0.287561\pi$
$409$	3.26826	+	2.10039i	0.161605	+	0.103857i	−0.457339	+	0.889293i	$0.651197\pi$
$410$	−10.0884	+	11.6427i	−0.498232	+	0.574991i
$411$	15.4877	−	4.54760i	0.763953	−	0.224317i
$412$	6.04024	+	13.2263i	0.297581	+	0.651612i
$413$	−3.25578			−0.160206
$414$	0.502232	+	4.76946i	0.0246834	+	0.234406i
$415$	−25.3595			−1.24485
$416$	2.54024	+	5.56236i	0.124546	+	0.272717i
$417$	−14.5048	+	4.25899i	−0.710302	+	0.208563i
$418$	3.76706	−	4.34742i	0.184253	−	0.212639i
$419$	−25.6280	−	16.4701i	−1.25201	−	0.804619i	−0.264841	−	0.964292i	$-0.585319\pi$
$419$	−25.6280	−	16.4701i	−1.25201	−	0.804619i	−0.987170	+	0.159674i	$0.948956\pi$
$420$	−2.14585	−	2.47645i	−0.104707	−	0.120838i
$421$	−1.56604	−	10.8921i	−0.0763243	−	0.530848i	−0.991733	−	0.128321i	$-0.959041\pi$
$421$	−1.56604	−	10.8921i	−0.0763243	−	0.530848i	0.915408	−	0.402526i	$-0.131868\pi$
$422$	18.3873	+	5.39899i	0.895079	+	0.262819i
$423$	−10.2932	+	6.61507i	−0.500475	+	0.321636i
$424$	0.865304	−	6.01832i	0.0420229	−	0.292275i
$425$	−11.4872	+	25.1534i	−0.557209	+	1.22012i
$426$	1.93329	−	4.23331i	0.0936681	−	0.205104i
$427$	−0.0323448	+	0.224963i	−0.00156527	+	0.0108867i
$428$	−14.3722	+	9.23644i	−0.694706	+	0.446460i
$429$	−22.0004	−	6.45990i	−1.06219	−	0.311887i
$430$	−2.24190	−	15.5928i	−0.108114	−	0.751950i
$431$	2.02834	+	2.34083i	0.0977019	+	0.112754i	0.802495	−	0.596659i	$-0.203506\pi$
$431$	2.02834	+	2.34083i	0.0977019	+	0.112754i	−0.704793	+	0.709413i	$0.748960\pi$
$432$	0.841254	+	0.540641i	0.0404748	+	0.0260116i
$433$	4.50420	−	5.19812i	0.216458	−	0.249806i	−0.637128	−	0.770758i	$-0.719878\pi$
$433$	4.50420	−	5.19812i	0.216458	−	0.249806i	0.853586	+	0.520952i	$0.174423\pi$
$434$	6.68572	−	1.96311i	0.320925	−	0.0942321i
$435$	10.1174	+	22.1541i	0.485095	+	1.06221i
$436$	11.3046			0.541392
$437$	7.35209	+	0.278664i	0.351698	+	0.0133303i
$438$	−1.99860			−0.0954969
$439$	−4.68133	−	10.2507i	−0.223428	−	0.489238i	0.764409	−	0.644731i	$-0.223031\pi$
$439$	−4.68133	−	10.2507i	−0.223428	−	0.489238i	−0.987837	+	0.155493i	$0.950303\pi$
$440$	−11.7893	+	3.46165i	−0.562033	+	0.165028i
$441$	−0.654861	+	0.755750i	−0.0311838	+	0.0359881i
$442$	−24.7931	−	15.9335i	−1.17929	−	0.757881i
$443$	−26.3041	−	30.3566i	−1.24975	−	1.44228i	−0.850952	−	0.525243i	$-0.823974\pi$
$443$	−26.3041	−	30.3566i	−1.24975	−	1.44228i	−0.398794	−	0.917041i	$-0.630571\pi$
$444$	0.302466	+	2.10370i	0.0143544	+	0.0998370i
$445$	−45.0770	−	13.2358i	−2.13685	−	0.627437i
$446$	15.5475	−	9.99176i	0.736195	−	0.473124i
$447$	−0.0956570	+	0.665309i	−0.00452442	+	0.0314680i
$448$	0.415415	−	0.909632i	0.0196265	−	0.0429761i
$449$	−15.4247	+	33.7753i	−0.727935	+	1.59396i	0.0745030	+	0.997221i	$0.476263\pi$
$449$	−15.4247	+	33.7753i	−0.727935	+	1.59396i	−0.802438	+	0.596735i	$0.796464\pi$
$450$	−0.816527	+	5.67907i	−0.0384914	+	0.267714i
$451$	14.8302	−	9.53077i	0.698326	−	0.448787i
$452$	−10.2299	−	3.00378i	−0.481175	−	0.141286i
$453$	1.22939	+	8.55061i	0.0577619	+	0.401743i
$454$	2.01278	+	2.32287i	0.0944645	+	0.109018i
$455$	16.8566	+	10.8331i	0.790251	+	0.507864i
$456$	1.00463	−	1.15941i	0.0470463	−	0.0542943i
$457$	−12.0343	+	3.53360i	−0.562942	+	0.165295i	−0.550808	−	0.834632i	$-0.685681\pi$
$457$	−12.0343	+	3.53360i	−0.562942	+	0.165295i	−0.0121336	+	0.999926i	$0.503862\pi$
$458$	9.45935	+	20.7131i	0.442006	+	0.967859i
$459$	−4.81959			−0.224959
$460$	−12.8890	−	8.99081i	−0.600954	−	0.419199i
$461$	−9.01612			−0.419922			−0.209961	−	0.977710i	$-0.567334\pi$
$461$	−9.01612			−0.419922			−0.209961	+	0.977710i	$0.567334\pi$
$462$	1.55768	+	3.41084i	0.0724697	+	0.158687i
$463$	−2.35666	+	0.691977i	−0.109523	+	0.0321589i	−0.336035	−	0.941850i	$-0.609086\pi$
$463$	−2.35666	+	0.691977i	−0.109523	+	0.0321589i	0.226512	+	0.974008i	$0.427268\pi$
$464$	−4.86729	+	5.61715i	−0.225958	+	0.260770i
$465$	−19.2081	−	12.3443i	−0.890754	−	0.572453i
$466$	−9.29324	−	10.7250i	−0.430501	−	0.496825i
$467$	−6.04701	−	42.0579i	−0.279822	−	1.94621i	−0.321061	−	0.947059i	$-0.604039\pi$
$467$	−6.04701	−	42.0579i	−0.279822	−	1.94621i	0.0412381	−	0.999149i	$-0.486870\pi$
$468$	−5.86725	−	1.72278i	−0.271214	−	0.0796356i
$469$	3.55971	−	2.28769i	0.164372	−	0.105636i
$470$	5.70593	−	39.6856i	0.263195	−	1.83056i
$471$	−9.00856	+	19.7260i	−0.415092	+	0.908926i
$472$	−1.35250	+	2.96156i	−0.0622538	+	0.136317i
$473$	−2.56544	+	17.8430i	−0.117959	+	0.820422i
$474$	−5.69685	+	3.66114i	−0.261665	+	0.168162i
$475$	8.44541	+	2.47980i	0.387502	+	0.113781i
$476$	0.685899	+	4.77053i	0.0314381	+	0.218657i
$477$	3.98169	+	4.59511i	0.182309	+	0.210396i
$478$	12.0725	+	7.75851i	0.552182	+	0.354866i
$479$	25.8300	−	29.8094i	1.18020	−	1.36203i	0.262413	−	0.964956i	$-0.415482\pi$
$479$	25.8300	−	29.8094i	1.18020	−	1.36203i	0.917788	−	0.397070i	$-0.129973\pi$
$480$	−3.14407	+	0.923183i	−0.143507	+	0.0421374i
$481$	−5.39885	−	11.8218i	−0.246166	−	0.539029i
$482$	−23.2216			−1.05771
$483$	−2.15606	+	4.28385i	−0.0981042	+	0.194922i
$484$	3.06019			0.139099
$485$	1.61900	+	3.54513i	0.0735152	+	0.160976i
$486$	−0.959493	+	0.281733i	−0.0435235	+	0.0127796i
$487$	−2.67264	+	3.08439i	−0.121109	+	0.139767i	−0.813066	−	0.582171i	$-0.802203\pi$
$487$	−2.67264	+	3.08439i	−0.121109	+	0.139767i	0.691957	+	0.721939i	$0.256749\pi$
$488$	0.191197	+	0.122875i	0.00865507	+	0.00556228i
$489$	16.2742	+	18.7814i	0.735943	+	0.849324i
$490$	−0.466338	−	3.24345i	−0.0210670	−	0.146524i
$491$	−17.6687	−	5.18799i	−0.797376	−	0.234131i	−0.142428	−	0.989805i	$-0.545491\pi$
$491$	−17.6687	−	5.18799i	−0.797376	−	0.234131i	−0.654947	+	0.755675i	$0.727309\pi$
$492$	3.95504	−	2.54175i	0.178307	−	0.114591i
$493$	5.09798	−	35.4572i	0.229601	−	1.59691i
$494$	−3.89703	+	8.53331i	−0.175336	+	0.383932i
$495$	5.10421	−	11.1767i	0.229417	−	0.502354i
$496$	0.991646	−	6.89705i	0.0445262	−	0.309687i
$497$	3.91508	−	2.51607i	0.175616	−	0.112861i
$498$	7.42561	+	2.18036i	0.332750	+	0.0977041i
$499$	3.00806	+	20.9215i	0.134659	+	0.936577i	0.939369	+	0.342908i	$0.111412\pi$
$499$	3.00806	+	20.9215i	0.134659	+	0.936577i	−0.804710	+	0.593669i	$0.797679\pi$
$500$	−1.58250	−	1.82630i	−0.0707715	−	0.0816746i
$501$	6.77700	+	4.35531i	0.302774	+	0.194581i
$502$	−5.89818	+	6.80686i	−0.263248	+	0.303805i
$503$	18.7565	−	5.50739i	0.836309	−	0.245563i	0.164584	−	0.986363i	$-0.447372\pi$
$503$	18.7565	−	5.50739i	0.836309	−	0.245563i	0.671725	+	0.740800i	$0.265554\pi$
$504$	0.415415	+	0.909632i	0.0185041	+	0.0405182i
$505$	56.3035			2.50547
$506$	11.2531	+	14.0268i	0.500261	+	0.623569i
$507$	24.3926			1.08331
$508$	−3.70568	−	8.11431i	−0.164413	−	0.360014i
$509$	−34.1913	+	10.0395i	−1.51550	+	0.444992i	−0.930577	−	0.366096i	$-0.880694\pi$
$509$	−34.1913	+	10.0395i	−1.51550	+	0.444992i	−0.584925	+	0.811087i	$0.698876\pi$
$510$	10.3421	−	11.9355i	0.457957	−	0.528511i
$511$	−1.68133	−	1.08053i	−0.0743777	−	0.0477997i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	0.218328	+	1.51850i	0.00963940	+	0.0670435i
$514$	−8.40499	−	2.46793i	−0.370728	−	0.108856i
$515$	40.0820	−	25.7592i	1.76623	−	1.13508i
$516$	−0.684173	+	4.75853i	−0.0301190	+	0.209482i
$517$	−19.0591	+	41.7337i	−0.838220	+	1.83544i
$518$	−0.882894	+	1.93327i	−0.0387921	+	0.0849429i
$519$	−1.88752	+	13.1280i	−0.0828530	+	0.576255i
$520$	16.8566	−	10.8331i	0.739212	−	0.475063i
$521$	−22.9739	−	6.74574i	−1.00650	−	0.295536i	−0.263381	−	0.964692i	$-0.584838\pi$
$521$	−22.9739	−	6.74574i	−1.00650	−	0.295536i	−0.743122	+	0.669156i	$0.766656\pi$
$522$	−1.05776	−	7.35690i	−0.0462970	−	0.322003i
$523$	0.565905	+	0.653089i	0.0247453	+	0.0285576i	0.767987	−	0.640465i	$-0.221258\pi$
$523$	0.565905	+	0.653089i	0.0247453	+	0.0285576i	−0.743242	+	0.669023i	$0.766713\pi$
$524$	4.80594	+	3.08859i	0.209949	+	0.134926i
$525$	−3.75724	+	4.33609i	−0.163980	+	0.189242i
$526$	−6.96996	+	2.04656i	−0.303904	+	0.0892344i
$527$	13.9508	+	30.5480i	0.607706	+	1.33069i
$528$	3.74969			0.163184
$529$	−4.98715	+	22.4528i	−0.216833	+	0.976209i
$530$	−19.9237			−0.865429
$531$	−1.35250	−	2.96156i	−0.0586935	−	0.128521i
$532$	1.47197	−	0.432211i	0.0638182	−	0.0187387i
$533$	−18.8263	+	21.7267i	−0.815459	+	0.941090i
$534$	12.0612	+	7.75124i	0.521937	+	0.335429i
$535$	36.6603	+	42.3082i	1.58496	+	1.82914i
$536$	−0.602196	−	4.18837i	−0.0260109	−	0.180910i
$537$	4.09847	+	1.20342i	0.176862	+	0.0519313i
$538$	−20.3713	+	13.0918i	−0.878269	+	0.564429i
$539$	−0.533637	+	3.71152i	−0.0229854	+	0.159867i
$540$	1.36124	−	2.98069i	0.0585782	−	0.128268i
$541$	8.49574	−	18.6031i	0.365260	−	0.799808i	−0.634381	−	0.773021i	$-0.718745\pi$
$541$	8.49574	−	18.6031i	0.365260	−	0.799808i	0.999641	−	0.0267877i	$-0.00852782\pi$
$542$	−0.266245	+	1.85177i	−0.0114362	+	0.0795404i
$543$	−5.02352	+	3.22842i	−0.215580	+	0.138545i
$544$	4.62436	+	1.35784i	0.198268	+	0.0582167i
$545$	−5.27176	−	36.6659i	−0.225818	−	1.57060i
$546$	−4.00444	−	4.62137i	−0.171374	−	0.197776i
$547$	5.86689	+	3.77042i	0.250850	+	0.161212i	0.660023	−	0.751245i	$-0.270546\pi$
$547$	5.86689	+	3.77042i	0.250850	+	0.161212i	−0.409173	+	0.912457i	$0.634183\pi$
$548$	10.5705	−	12.1990i	0.451548	−	0.521115i
$549$	−0.218070	+	0.0640311i	−0.00930699	+	0.00273278i
$550$	8.93713	+	19.5696i	0.381080	+	0.834450i
$551$	−11.4024			−0.485759
$552$	3.00107	+	3.74080i	0.127734	+	0.159219i
$553$	−6.77186			−0.287969
$554$	6.28664	+	13.7658i	0.267094	+	0.584854i
$555$	6.68219	−	1.96207i	0.283643	−	0.0832852i
$556$	−9.89961	+	11.4248i	−0.419837	+	0.484518i
$557$	−2.27263	−	1.46053i	−0.0962946	−	0.0618848i	0.491607	−	0.870817i	$-0.336410\pi$
$557$	−2.27263	−	1.46053i	−0.0962946	−	0.0618848i	−0.587902	+	0.808932i	$0.700046\pi$
$558$	4.56305	+	5.26604i	0.193169	+	0.222929i
$559$	−4.18368	−	29.0982i	−0.176951	−	1.23072i
$560$	−3.14407	−	0.923183i	−0.132861	−	0.0390116i
$561$	−15.2031	+	9.77045i	−0.641876	+	0.412509i
$562$	3.36034	−	23.3717i	0.141747	−	0.985874i
$563$	−8.06880	+	17.6682i	−0.340059	+	0.744626i	−0.999977	−	0.00671161i	$-0.997864\pi$
$563$	−8.06880	+	17.6682i	−0.340059	+	0.744626i	0.659918	+	0.751337i	$0.270591\pi$
$564$	−5.08285	+	11.1299i	−0.214027	+	0.468653i
$565$	−4.97200	+	34.5810i	−0.209174	+	1.45484i
$566$	−16.7423	+	10.7596i	−0.703733	+	0.452262i
$567$	−0.959493	−	0.281733i	−0.0402949	−	0.0118317i
$568$	−0.662315	−	4.60650i	−0.0277901	−	0.193284i
$569$	7.36889	+	8.50415i	0.308920	+	0.356513i	0.888886	−	0.458128i	$-0.151480\pi$
$569$	7.36889	+	8.50415i	0.308920	+	0.356513i	−0.579966	+	0.814640i	$0.696934\pi$
$570$	−4.22899	−	2.71781i	−0.177133	−	0.113836i
$571$	−0.351389	+	0.405525i	−0.0147052	+	0.0169707i	−0.763055	−	0.646334i	$-0.776301\pi$
$571$	−0.351389	+	0.405525i	−0.0147052	+	0.0169707i	0.748349	+	0.663305i	$0.230847\pi$
$572$	−22.0004	+	6.45990i	−0.919882	+	0.270102i
$573$	0.0995047	+	0.217885i	0.00415687	+	0.00910227i
$574$	4.70136			0.196231
$575$	−12.3703	+	24.5785i	−0.515878	+	1.02499i
$576$	1.00000			0.0416667
$577$	11.4908	+	25.1613i	0.478367	+	1.04748i	0.982909	+	0.184091i	$0.0589341\pi$
$577$	11.4908	+	25.1613i	0.478367	+	1.04748i	−0.504542	+	0.863387i	$0.668339\pi$
$578$	−5.97615	+	1.75476i	−0.248575	+	0.0729882i
$579$	−9.13224	+	10.5392i	−0.379523	+	0.437993i
$580$	20.4888	+	13.1673i	0.850750	+	0.546744i
$581$	5.06803	+	5.84882i	0.210257	+	0.242650i
$582$	−0.169264	−	1.17726i	−0.00701623	−	0.0487989i
$583$	21.8754	+	6.42319i	0.905986	+	0.266021i
$584$	−1.68133	+	1.08053i	−0.0695740	+	0.0447125i
$585$	−2.85164	+	19.8336i	−0.117901	+	0.820017i
$586$	−8.07216	+	17.6756i	−0.333458	+	0.730171i
$587$	−7.32387	+	16.0370i	−0.302288	+	0.661919i	−0.998432	−	0.0559835i	$-0.982171\pi$
$587$	−7.32387	+	16.0370i	−0.302288	+	0.661919i	0.696143	+	0.717903i	$0.254898\pi$
$588$	−0.142315	+	0.989821i	−0.00586897	+	0.0408195i
$589$	8.99274	−	5.77928i	0.370539	−	0.238131i
$590$	10.2364	+	3.00568i	0.421426	+	0.123742i
$591$	1.51646	+	10.5472i	0.0623789	+	0.433855i
$592$	1.39179	+	1.60622i	0.0572024	+	0.0660151i
$593$	29.1804	+	18.7531i	1.19830	+	0.770098i	0.978660	−	0.205485i	$-0.0658770\pi$
$593$	29.1804	+	18.7531i	1.19830	+	0.770098i	0.219635	+	0.975582i	$0.429513\pi$
$594$	−2.45553	+	2.83383i	−0.100751	+	0.116273i
$595$	15.1531	−	4.44937i	0.621218	−	0.182406i
$596$	0.279221	+	0.611409i	0.0114374	+	0.0250443i
$597$	−4.16283			−0.170373
$598$	−24.0526	−	16.7780i	−0.983585	−	0.686105i
$599$	15.1073			0.617266			0.308633	−	0.951181i	$-0.400129\pi$
$599$	15.1073			0.617266			0.308633	+	0.951181i	$0.400129\pi$
$600$	2.38343	+	5.21898i	0.0973031	+	0.213064i
$601$	28.8076	−	8.45867i	1.17509	−	0.345036i	0.364808	−	0.931083i	$-0.381135\pi$
$601$	28.8076	−	8.45867i	1.17509	−	0.345036i	0.810277	+	0.586046i	$0.199316\pi$
$602$	−3.14822	+	3.63324i	−0.128312	+	0.148080i
$603$	3.55971	+	2.28769i	0.144963	+	0.0931618i
$604$	5.65704	+	6.52857i	0.230182	+	0.265644i
$605$	−1.42708	−	9.92557i	−0.0580191	−	0.403532i
$606$	−16.4864	−	4.84085i	−0.669715	−	0.196646i
$607$	−40.0764	+	25.7555i	−1.62665	+	1.04538i	−0.675176	+	0.737656i	$0.735932\pi$
$607$	−40.0764	+	25.7555i	−1.62665	+	1.04538i	−0.951474	+	0.307728i	$0.900431\pi$
$608$	0.218328	−	1.51850i	0.00885436	−	0.0615834i
$609$	3.08759	−	6.76089i	0.125116	−	0.273965i
$610$	0.309376	−	0.677439i	0.0125263	−	0.0274287i
$611$	10.6480	−	74.0586i	0.430772	−	2.99609i
$612$	−4.05450	+	2.60567i	−0.163893	+	0.105328i
$613$	−9.60453	−	2.82014i	−0.387923	−	0.113905i	0.0819544	−	0.996636i	$-0.473884\pi$
$613$	−9.60453	−	2.82014i	−0.387923	−	0.113905i	−0.469878	+	0.882732i	$0.655702\pi$
$614$	−1.29771	−	9.02578i	−0.0523714	−	0.364251i
$615$	−10.0884	−	11.6427i	−0.406805	−	0.469478i
$616$	3.15444	+	2.02724i	0.127096	+	0.0816797i
$617$	−13.7302	+	15.8454i	−0.552755	+	0.637914i	−0.961523	−	0.274725i	$-0.911413\pi$
$617$	−13.7302	+	15.8454i	−0.552755	+	0.637914i	0.408768	+	0.912639i	$0.365959\pi$
$618$	−13.9513	+	4.09646i	−0.561202	+	0.164784i
$619$	−11.1412	−	24.3958i	−0.447802	−	0.980550i	−0.990100	−	0.140364i	$-0.955173\pi$
$619$	−11.1412	−	24.3958i	−0.447802	−	0.980550i	0.542298	−	0.840186i	$-0.317555\pi$
$620$	−22.8327			−0.916984
$621$	−4.79239	−	0.181645i	−0.192312	−	0.00728915i
$622$	−20.8127			−0.834512
$623$	5.95586	+	13.0415i	0.238616	+	0.522497i
$624$	−5.86725	+	1.72278i	−0.234878	+	0.0689664i
$625$	13.6007	−	15.6960i	0.544027	−	0.627840i
$626$	23.7867	+	15.2868i	0.950706	+	0.610982i
$627$	3.76706	+	4.34742i	0.150442	+	0.173619i
$628$	3.08619	+	21.4650i	0.123153	+	0.856545i
$629$	−9.82829	−	2.88585i	−0.391880	−	0.115066i
$630$	2.75663	−	1.77158i	0.109827	−	0.0705813i
$631$	0.545610	−	3.79480i	0.0217204	−	0.151069i	−0.976075	−	0.217434i	$-0.930231\pi$
$631$	0.545610	−	3.79480i	0.0217204	−	0.151069i	0.997795	+	0.0663655i	$0.0211403\pi$
$632$	−2.81313	+	6.15990i	−0.111900	+	0.245028i
$633$	−7.96082	+	17.4318i	−0.316414	+	0.692851i
$634$	−3.25825	+	22.6616i	−0.129402	+	0.900009i
$635$	−24.5903	+	15.8032i	−0.975836	+	0.627131i
$636$	5.83392	+	1.71299i	0.231330	+	0.0679246i
$637$	−0.870248	−	6.05271i	−0.0344805	−	0.239817i
$638$	−18.2508	−	21.0626i	−0.722557	−	0.833875i
$639$	3.91508	+	2.51607i	0.154878	+	0.0995342i
$640$	−2.14585	+	2.47645i	−0.0848223	+	0.0978901i
$641$	47.5072	−	13.9494i	1.87642	−	0.550967i	0.879200	−	0.476453i	$-0.158078\pi$
$641$	47.5072	−	13.9494i	1.87642	−	0.550967i	0.997220	−	0.0745138i	$-0.0237405\pi$
$642$	−7.09706	−	15.5404i	−0.280098	−	0.613330i
$643$	−39.7510			−1.56763			−0.783814	−	0.620996i	$-0.786728\pi$
$643$	−39.7510			−1.56763			−0.783814	+	0.620996i	$0.786728\pi$
$644$	0.502232	+	4.76946i	0.0197907	+	0.187943i
$645$	15.7531			0.620279
$646$	3.07150	+	6.72565i	0.120847	+	0.264617i
$647$	1.87788	−	0.551395i	0.0738270	−	0.0216776i	−0.244610	−	0.969621i	$-0.578660\pi$
$647$	1.87788	−	0.551395i	0.0738270	−	0.0216776i	0.318437	+	0.947944i	$0.396842\pi$
$648$	−0.654861	+	0.755750i	−0.0257254	+	0.0296886i
$649$	−10.2702	−	6.60023i	−0.403139	−	0.259082i
$650$	−22.9754	−	26.5150i	−0.901168	−	1.04000i
$651$	0.991646	+	6.89705i	0.0388657	+	0.270317i
$652$	23.8447	+	7.00143i	0.933830	+	0.274197i
$653$	19.4283	−	12.4858i	0.760290	−	0.488609i	−0.102150	−	0.994769i	$-0.532572\pi$
$653$	19.4283	−	12.4858i	0.760290	−	0.488609i	0.862439	+	0.506160i	$0.168936\pi$
$654$	−1.60881	+	11.1895i	−0.0629095	+	0.437545i
$655$	7.77651	−	17.0282i	0.303853	−	0.665346i
$656$	1.95302	−	4.27651i	0.0762525	−	0.166970i
$657$	0.284431	−	1.97826i	0.0110967	−	0.0771793i
$658$	−10.2932	+	6.61507i	−0.401272	+	0.257882i
$659$	−9.77738	−	2.87090i	−0.380872	−	0.111834i	0.0856915	−	0.996322i	$-0.472690\pi$
$659$	−9.77738	−	2.87090i	−0.380872	−	0.111834i	−0.466564	+	0.884487i	$0.654508\pi$
$660$	−1.74862	−	12.1620i	−0.0680651	−	0.473403i
$661$	11.4277	+	13.1882i	0.444484	+	0.512962i	0.933139	−	0.359515i	$-0.117058\pi$
$661$	11.4277	+	13.1882i	0.444484	+	0.512962i	−0.488655	+	0.872477i	$0.662512\pi$
$662$	13.2286	+	8.50153i	0.514146	+	0.330421i
$663$	19.2998	−	22.2731i	0.749541	−	0.865016i
$664$	7.42561	−	2.18036i	0.288170	−	0.0846143i
$665$	−2.08829	−	4.57273i	−0.0809806	−	0.177323i
$666$	−2.12533			−0.0823548
$667$	6.40555	−	35.0650i	0.248024	−	1.35772i
$668$	8.05583			0.311690
$669$	7.67742	+	16.8112i	0.296826	+	0.649959i
$670$	−13.3039	+	3.90639i	−0.513976	+	0.150917i
$671$	−0.558082	+	0.644061i	−0.0215445	+	0.0248637i
$672$	0.841254	+	0.540641i	0.0324521	+	0.0208557i
$673$	10.6074	+	12.2416i	0.408885	+	0.471878i	0.922419	−	0.386191i	$-0.126209\pi$
$673$	10.6074	+	12.2416i	0.408885	+	0.471878i	−0.513534	+	0.858069i	$0.671664\pi$
$674$	0.0338322	+	0.235308i	0.00130317	+	0.00906372i
$675$	−5.50506	−	1.61643i	−0.211890	−	0.0622165i
$676$	20.5204	−	13.1877i	0.789246	−	0.507217i
$677$	3.88370	−	27.0118i	0.149263	−	1.03815i	−0.768167	−	0.640249i	$-0.778831\pi$
$677$	3.88370	−	27.0118i	0.149263	−	1.03815i	0.917430	−	0.397897i	$-0.130260\pi$
$678$	4.42907	−	9.69831i	0.170097	−	0.372461i
$679$	0.494080	−	1.08188i	0.0189610	−	0.0415189i
$680$	2.24756	−	15.6321i	0.0861900	−	0.599464i
$681$	−2.58568	+	1.66171i	−0.0990834	+	0.0636770i
$682$	25.0694	+	7.36104i	0.959957	+	0.281869i
$683$	−1.76721	−	12.2912i	−0.0676204	−	0.470310i	−0.995293	−	0.0969148i	$-0.969103\pi$
$683$	−1.76721	−	12.2912i	−0.0676204	−	0.470310i	0.927672	−	0.373395i	$-0.121807\pi$
$684$	1.00463	+	1.15941i	0.0384131	+	0.0443311i
$685$	−44.4963	−	28.5960i	−1.70011	−	1.09260i
$686$	−0.654861	+	0.755750i	−0.0250027	+	0.0288547i
$687$	−21.8485	+	6.41529i	−0.833571	+	0.244758i
$688$	1.99709	+	4.37302i	0.0761384	+	0.166720i
$689$	−37.1802			−1.41645
$690$	10.7336	−	11.4783i	0.408621	−	0.436972i
$691$	−25.3314			−0.963651			−0.481826	−	0.876267i	$-0.660026\pi$
$691$	−25.3314			−0.963651			−0.481826	+	0.876267i	$0.660026\pi$
$692$	5.50965	+	12.0644i	0.209445	+	0.458621i
$693$	−3.59780	+	1.05641i	−0.136669	+	0.0401297i
$694$	16.7269	−	19.3038i	0.634943	−	0.732764i
$695$	41.6722	+	26.7811i	1.58072	+	1.01587i
$696$	−4.86729	−	5.61715i	−0.184494	−	0.212917i
$697$	3.22466	+	22.4280i	0.122143	+	0.849521i
$698$	8.35377	+	2.45289i	0.316195	+	0.0928432i
$699$	11.9384	−	7.67233i	0.451551	−	0.290194i
$700$	−0.816527	+	5.67907i	−0.0308618	+	0.214649i
$701$	−17.4587	+	38.2291i	−0.659405	+	1.44389i	0.223671	+	0.974665i	$0.428196\pi$
$701$	−17.4587	+	38.2291i	−0.659405	+	1.44389i	−0.883076	+	0.469230i	$0.844531\pi$
$702$	2.54024	−	5.56236i	0.0958753	−	0.209938i
$703$	−0.464018	+	3.22732i	−0.0175008	+	0.121721i
$704$	3.15444	−	2.02724i	0.118887	−	0.0764043i
$705$	38.4696	+	11.2957i	1.44885	+	0.425421i
$706$	−2.40542	−	16.7301i	−0.0905292	−	0.629644i
$707$	−11.2521	−	12.9856i	−0.423179	−	0.488375i
$708$	−2.73894	−	1.76021i	−0.102935	−	0.0661526i
$709$	−22.4157	+	25.8691i	−0.841840	+	0.971535i	−0.999874	−	0.0158988i	$-0.994939\pi$
$709$	−22.4157	+	25.8691i	−0.841840	+	0.971535i	0.158034	+	0.987434i	$0.449484\pi$
$710$	−14.6321	+	4.29637i	−0.549133	+	0.161240i
$711$	−2.81313	−	6.15990i	−0.105501	−	0.231014i
$712$	14.3371			0.537307
$713$	12.7207	+	30.9014i	0.476396	+	1.15727i
$714$	−4.81959			−0.180369
$715$	31.2120	+	68.3448i	1.16726	+	2.55595i
$716$	4.09847	−	1.20342i	0.153167	−	0.0449739i
$717$	−9.39764	+	10.8454i	−0.350961	+	0.405031i
$718$	−14.6794	−	9.43387i	−0.547830	−	0.352069i
$719$	−26.7642	−	30.8876i	−0.998138	−	1.15191i	−0.988387	−	0.151960i	$-0.951442\pi$
$719$	−26.7642	−	30.8876i	−0.998138	−	1.15191i	−0.00975110	−	0.999952i	$-0.503104\pi$
$720$	−0.466338	−	3.24345i	−0.0173794	−	0.120876i
$721$	−13.9513	−	4.09646i	−0.519572	−	0.152560i
$722$	−14.0039	+	8.99977i	−0.521172	+	0.334937i
$723$	3.30478	−	22.9852i	0.122906	−	0.854830i
$724$	−2.48064	+	5.43184i	−0.0921921	+	0.201873i
$725$	17.7150	−	38.7904i	0.657917	−	1.44064i
$726$	−0.435510	+	3.02904i	−0.0161633	+	0.112418i
$727$	40.2238	−	25.8503i	1.49182	−	0.958734i	0.495911	−	0.868373i	$-0.334834\pi$
$727$	40.2238	−	25.8503i	1.49182	−	0.958734i	0.995909	−	0.0903611i	$-0.0288021\pi$
$728$	−5.86725	−	1.72278i	−0.217455	−	0.0638505i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	4.28871	+	4.94943i	0.158732	+	0.183187i
$731$	−19.4918	−	12.5266i	−0.720931	−	0.463314i
$732$	−0.148834	+	0.171764i	−0.00550107	+	0.00634857i
$733$	17.4994	−	5.13828i	0.646354	−	0.189787i	0.0579063	−	0.998322i	$-0.481558\pi$
$733$	17.4994	−	5.13828i	0.646354	−	0.189787i	0.588448	+	0.808535i	$0.299739\pi$
$734$	−3.57315	−	7.82412i	−0.131888	−	0.288793i
$735$	3.27681			0.120867
$736$	4.54709	+	1.52446i	0.167608	+	0.0561923i
$737$	15.8666			0.584453
$738$	1.95302	+	4.27651i	0.0718915	+	0.157421i
$739$	−8.81243	+	2.58756i	−0.324171	+	0.0951851i	−0.439769	−	0.898111i	$-0.644940\pi$
$739$	−8.81243	+	2.58756i	−0.324171	+	0.0951851i	0.115598	+	0.993296i	$0.463121\pi$
$740$	4.56064	−	5.26326i	0.167653	−	0.193481i
$741$	−7.89184	−	5.07178i	−0.289914	−	0.186316i
$742$	3.98169	+	4.59511i	0.146172	+	0.168692i
$743$	2.32686	+	16.1837i	0.0853643	+	0.593721i	0.986939	+	0.161097i	$0.0515032\pi$
$743$	2.32686	+	16.1837i	0.0853643	+	0.593721i	−0.901574	+	0.432624i	$0.857588\pi$
$744$	6.68572	+	1.96311i	0.245110	+	0.0719709i
$745$	1.85287	−	1.19077i	0.0678838	−	0.0436263i
$746$	4.04392	−	28.1261i	0.148059	−	1.02977i
$747$	−3.21494	+	7.03973i	−0.117628	+	0.257570i
$748$	−7.50737	+	16.4388i	−0.274497	+	0.601064i
$749$	2.43134	−	16.9104i	0.0888393	−	0.617891i
$750$	2.03292	−	1.30648i	0.0742319	−	0.0477059i
$751$	11.0371	+	3.24079i	0.402750	+	0.118258i	0.476833	−	0.878994i	$-0.341785\pi$
$751$	11.0371	+	3.24079i	0.402750	+	0.118258i	−0.0740829	+	0.997252i	$0.523603\pi$
$752$	1.74131	+	12.1111i	0.0634990	+	0.441645i
$753$	−5.89818	−	6.80686i	−0.214941	−	0.248056i
$754$	38.2347	+	24.5720i	1.39243	+	0.894858i
$755$	18.5370	−	21.3929i	0.674632	−	0.778567i
$756$	−0.959493	+	0.281733i	−0.0348964	+	0.0102465i
$757$	−17.0535	−	37.3420i	−0.619821	−	1.35722i	−0.915650	−	0.401977i	$-0.868323\pi$
$757$	−17.0535	−	37.3420i	−0.619821	−	1.35722i	0.295829	−	0.955241i	$-0.404404\pi$
$758$	−21.1171			−0.767009
$759$	−15.4856	+	9.14232i	−0.562090	+	0.331845i
$760$	−5.02701			−0.182349
$761$	6.47289	+	14.1737i	0.234642	+	0.513795i	0.989923	−	0.141607i	$-0.0452268\pi$
$761$	6.47289	+	14.1737i	0.234642	+	0.513795i	−0.755281	+	0.655401i	$0.772500\pi$
$762$	8.55909	−	2.51317i	0.310063	−	0.0910427i
$763$	−7.40293	+	8.54344i	−0.268004	+	0.309293i
$764$	0.201506	+	0.129500i	0.00729024	+	0.00468515i
$765$	10.3421	+	11.9355i	0.373920	+	0.431527i
$766$	−4.37035	−	30.3964i	−0.157907	−	1.09827i
$767$	19.1025	+	5.60899i	0.689750	+	0.202529i
$768$	0.841254	−	0.540641i	0.0303561	−	0.0195087i
$769$	−0.0491563	+	0.341890i	−0.00177262	+	0.0123289i	−0.990689	−	0.136148i	$-0.956528\pi$
$769$	−0.0491563	+	0.341890i	−0.00177262	+	0.0123289i	0.988916	+	0.148477i	$0.0474369\pi$
$770$	5.10421	−	11.1767i	0.183943	−	0.402779i
$771$	3.63896	−	7.96821i	0.131054	−	0.286968i
$772$	−1.98463	+	13.8034i	−0.0714283	+	0.496794i
$773$	2.08918	−	1.34264i	0.0751427	−	0.0482913i	−0.502530	−	0.864560i	$-0.667597\pi$
$773$	2.08918	−	1.34264i	0.0751427	−	0.0482913i	0.577673	+	0.816268i	$0.303961\pi$
$774$	−4.61272	−	1.35442i	−0.165801	−	0.0486835i
$775$	5.68954	+	39.5716i	0.204374	+	1.42145i
$776$	−0.778868	−	0.898862i	−0.0279597	−	0.0322673i
$777$	−1.78794	−	1.14904i	−0.0641420	−	0.0412216i
$778$	13.3655	−	15.4246i	0.479177	−	0.553000i
$779$	6.92029	−	2.03198i	0.247945	−	0.0728032i
$780$	8.32389	+	18.2268i	0.298043	+	0.652623i
$781$	17.4506			0.624431
$782$	−22.4084	+	5.66729i	−0.801323	+	0.202662i
$783$	7.43255			0.265618
$784$	0.415415	+	0.909632i	0.0148363	+	0.0324869i
$785$	68.1814	−	20.0199i	2.43350	−	0.714540i
$786$	−3.74111	+	4.31747i	−0.133441	+	0.153999i
$787$	30.9426	+	19.8856i	1.10298	+	0.708844i	0.959753	−	0.280845i	$-0.0906147\pi$
$787$	30.9426	+	19.8856i	1.10298	+	0.708844i	0.143230	+	0.989689i	$0.454251\pi$
$788$	6.97799	+	8.05303i	0.248581	+	0.286877i
$789$	−1.03380	−	7.19027i	−0.0368044	−	0.255980i
$790$	21.2912	+	6.25167i	0.757508	+	0.222424i
$791$	8.96927	−	5.76420i	0.318911	−	0.204951i
$792$	−0.533637	+	3.71152i	−0.0189620	+	0.131883i
$793$	0.577336	−	1.26419i	0.0205018	−	0.0448927i
$794$	2.26307	−	4.95544i	0.0803134	−	0.175862i
$795$	2.83543	−	19.7209i	0.100562	−	0.699427i
$796$	−3.50200	+	2.25060i	−0.124125	+	0.0797703i
$797$	2.01239	+	0.590892i	0.0712826	+	0.0209305i	0.317179	−	0.948366i	$-0.397264\pi$
$797$	2.01239	+	0.590892i	0.0712826	+	0.0209305i	−0.245897	+	0.969296i	$0.579082\pi$
$798$	0.218328	+	1.51850i	0.00772871	+	0.0537544i
$799$	−38.6175	−	44.5670i	−1.36619	−	1.57667i
$800$	4.82667	+	3.10191i	0.170648	+	0.109669i
$801$	−9.38882	+	10.8353i	−0.331738	+	0.382846i
$802$	33.9817	−	9.97793i	1.19994	−	0.352333i
$803$	−3.11318	−	6.81691i	−0.109862	−	0.240564i
$804$	4.23144			0.149231
$805$	15.2353	−	3.85315i	0.536974	−	0.135806i
$806$	−42.6088			−1.50083
$807$	−10.0594	−	22.0271i	−0.354109	−	0.775391i
$808$	−16.4864	+	4.84085i	−0.579991	+	0.170301i
$809$	−33.1662	+	38.2758i	−1.16606	+	1.34571i	−0.238901	+	0.971044i	$0.576787\pi$
$809$	−33.1662	+	38.2758i	−1.16606	+	1.34571i	−0.927161	+	0.374663i	$0.877758\pi$
$810$	2.75663	+	1.77158i	0.0968580	+	0.0622468i
$811$	27.2651	+	31.4656i	0.957407	+	1.10491i	0.994410	+	0.105591i	$0.0336734\pi$
$811$	27.2651	+	31.4656i	0.957407	+	1.10491i	−0.0370031	+	0.999315i	$0.511781\pi$
$812$	−1.05776	−	7.35690i	−0.0371202	−	0.258177i
$813$	−1.79503	−	0.527069i	−0.0629546	−	0.0184851i
$814$	−6.70423	+	4.30855i	−0.234983	+	0.151014i
$815$	11.5891	−	80.6042i	0.405950	−	2.82344i
$816$	−2.00213	+	4.38405i	−0.0700886	+	0.153473i
$817$	−3.06377	+	6.70872i	−0.107188	+	0.234709i
$818$	−0.552892	+	3.84545i	−0.0193314	+	0.134453i
$819$	5.14422	−	3.30599i	0.179754	−	0.115521i
$820$	−14.7814	−	4.34022i	−0.516190	−	0.151567i
$821$	2.53585	+	17.6372i	0.0885018	+	0.615543i	0.985008	+	0.172511i	$0.0551881\pi$
$821$	2.53585	+	17.6372i	0.0885018	+	0.615543i	−0.896506	+	0.443032i	$0.853903\pi$
$822$	10.5705	+	12.1990i	0.368688	+	0.425488i
$823$	19.0334	+	12.2320i	0.663462	+	0.426381i	0.828563	−	0.559895i	$-0.189159\pi$
$823$	19.0334	+	12.2320i	0.663462	+	0.426381i	−0.165101	+	0.986277i	$0.552795\pi$
$824$	−9.52184	+	10.9888i	−0.331709	+	0.382813i
$825$	−20.6423	+	6.06112i	−0.718672	+	0.211021i
$826$	−1.35250	−	2.96156i	−0.0470595	−	0.103046i
$827$	28.2786			0.983344			0.491672	−	0.870780i	$-0.336386\pi$
$827$	28.2786			0.983344			0.491672	+	0.870780i	$0.336386\pi$
$828$	−4.12982	+	2.43815i	−0.143521	+	0.0847317i
$829$	12.0435			0.418289			0.209145	−	0.977885i	$-0.432932\pi$
$829$	12.0435			0.418289			0.209145	+	0.977885i	$0.432932\pi$
$830$	−10.5347	−	23.0679i	−0.365666	−	0.800697i
$831$	−14.5204	+	4.26357i	−0.503707	+	0.147902i
$832$	−4.00444	+	4.62137i	−0.138829	+	0.160217i
$833$	−4.05450	−	2.60567i	−0.140480	−	0.0902810i
$834$	−9.89961	−	11.4248i	−0.342795	−	0.395607i
$835$	−3.75674	−	26.1287i	−0.130007	−	0.904222i
$836$	5.51945	+	1.62066i	0.190894	+	0.0560516i
$837$	−5.86183	+	3.76717i	−0.202615	+	0.130212i
$838$	4.33549	−	30.1540i	0.149767	−	1.04165i
$839$	14.5835	−	31.9334i	0.503478	−	1.10246i	−0.471846	−	0.881681i	$-0.656412\pi$
$839$	14.5835	−	31.9334i	0.503478	−	1.10246i	0.975323	−	0.220781i	$-0.0708606\pi$
$840$	1.36124	−	2.98069i	0.0469671	−	0.102844i
$841$	−3.73474	+	25.9757i	−0.128784	+	0.895714i
$842$	9.25723	−	5.94926i	0.319025	−	0.205025i
$843$	22.6556	+	6.65227i	0.780299	+	0.229116i
$844$	2.72726	+	18.9685i	0.0938760	+	0.652922i
$845$	−52.3430	−	60.4070i	−1.80065	−	2.07807i
$846$	−10.2932	−	6.61507i	−0.353889	−	0.227431i
$847$	−2.00400	+	2.31273i	−0.0688581	+	0.0794665i
$848$	5.83392	−	1.71299i	0.200337	−	0.0588244i
$849$	−8.26744	−	18.1032i	−0.283738	−	0.621299i
$850$	−27.6522			−0.948464
$851$	−9.66406	−	3.23998i	−0.331280	−	0.111065i
$852$	4.65387			0.159439
$853$	8.95822	+	19.6158i	0.306724	+	0.671631i	0.998736	−	0.0502542i	$-0.0160032\pi$
$853$	8.95822	+	19.6158i	0.306724	+	0.671631i	−0.692013	+	0.721885i	$0.743276\pi$
$854$	−0.218070	+	0.0640311i	−0.00746220	+	0.00219110i
$855$	3.29199	−	3.79916i	0.112584	−	0.129928i
$856$	−14.3722	−	9.23644i	−0.491231	−	0.315695i
$857$	24.9269	+	28.7672i	0.851488	+	0.982669i	0.999981	−	0.00624423i	$-0.00198761\pi$
$857$	24.9269	+	28.7672i	0.851488	+	0.982669i	−0.148493	+	0.988913i	$0.547442\pi$
$858$	−3.26316	−	22.6958i	−0.111403	−	0.774822i
$859$	−6.94956	−	2.04058i	−0.237116	−	0.0696236i	0.161016	−	0.986952i	$-0.448523\pi$
$859$	−6.94956	−	2.04058i	−0.237116	−	0.0696236i	−0.398132	+	0.917328i	$0.630341\pi$
$860$	13.2524	−	8.51678i	0.451902	−	0.290420i
$861$	−0.669074	+	4.65351i	−0.0228020	+	0.158591i
$862$	−1.28669	+	2.81746i	−0.0438249	+	0.0959632i
$863$	−13.5718	+	29.7181i	−0.461990	+	1.01162i	0.525039	+	0.851078i	$0.324051\pi$
$863$	−13.5718	+	29.7181i	−0.461990	+	1.01162i	−0.987029	+	0.160539i	$0.948677\pi$
$864$	−0.142315	+	0.989821i	−0.00484165	+	0.0336744i
$865$	36.5611	−	23.4964i	1.24312	−	0.798902i
$866$	6.59949	+	1.93778i	0.224260	+	0.0658486i
$867$	−0.886400	−	6.16505i	−0.0301037	−	0.209376i
$868$	4.56305	+	5.26604i	0.154880	+	0.178741i
$869$	−21.3614	−	13.7282i	−0.724637	−	0.465696i
$870$	−15.9492	+	18.4063i	−0.540727	+	0.624032i
$871$	−24.8269	+	7.28984i	−0.841228	+	0.247007i
$872$	4.69610	+	10.2830i	0.159030	+	0.348227i
$873$	1.18936			0.0402539
$874$	2.80069	+	6.80346i	0.0947346	+	0.230130i
$875$	2.41654			0.0816940
$876$	−0.830250	−	1.81799i	−0.0280515	−	0.0614243i
$877$	−4.08876	+	1.20057i	−0.138068	+	0.0405403i	−0.350036	−	0.936736i	$-0.613831\pi$
$877$	−4.08876	+	1.20057i	−0.138068	+	0.0405403i	0.211969	+	0.977276i	$0.432013\pi$
$878$	7.37965	−	8.51657i	0.249051	−	0.287420i
$879$	−16.3469	−	10.5055i	−0.551366	−	0.354341i
$880$	−8.04629	−	9.28591i	−0.271240	−	0.313028i
$881$	−7.10372	−	49.4074i	−0.239330	−	1.66458i	−0.655427	−	0.755258i	$-0.727511\pi$
$881$	−7.10372	−	49.4074i	−0.239330	−	1.66458i	0.416097	−	0.909320i	$-0.363398\pi$
$882$	−0.959493	−	0.281733i	−0.0323078	−	0.00948643i
$883$	26.1061	−	16.7774i	0.878540	−	0.564603i	−0.0218140	−	0.999762i	$-0.506944\pi$
$883$	26.1061	−	16.7774i	0.878540	−	0.564603i	0.900354	+	0.435159i	$0.143308\pi$
$884$	4.19424	−	29.1716i	0.141068	−	0.981146i
$885$	−4.43188	+	9.70446i	−0.148976	+	0.326212i
$886$	16.6862	−	36.5376i	0.560583	−	1.22751i
$887$	0.0472088	−	0.328344i	0.00158512	−	0.0110247i	−0.989014	−	0.147825i	$-0.952773\pi$
$887$	0.0472088	−	0.328344i	0.00158512	−	0.0110247i	0.990599	+	0.136800i	$0.0436819\pi$
$888$	−1.78794	+	1.14904i	−0.0599994	+	0.0385593i
$889$	8.55909	+	2.51317i	0.287063	+	0.0842892i
$890$	−6.68595	−	46.5018i	−0.224114	−	1.55874i
$891$	−2.45553	−	2.83383i	−0.0822632	−	0.0949368i
$892$	15.5475	+	9.99176i	0.520568	+	0.334549i
$893$	−12.2923	+	14.1861i	−0.411346	+	0.474718i
$894$	−0.644924	+	0.189367i	−0.0215695	+	0.00633337i
$895$	−5.81450	−	12.7320i	−0.194357	−	0.425583i
$896$	1.00000			0.0334077
$897$	20.0303	−	21.4200i	0.668792	−	0.715194i
$898$	−37.1308			−1.23907
$899$	−21.5143	−	47.1097i	−0.717541	−	1.57120i
$900$	−5.50506	+	1.61643i	−0.183502	+	0.0538811i
$901$	−19.1901	+	22.1466i	−0.639315	+	0.737809i
$902$	14.8302	+	9.53077i	0.493791	+	0.317340i
$903$	−3.14822	−	3.63324i	−0.104766	−	0.120907i
$904$	−1.51733	−	10.5533i	−0.0504657	−	0.350997i
$905$	18.7747	+	5.51276i	0.624093	+	0.183250i
$906$	−7.26720	+	4.67035i	−0.241437	+	0.155162i
$907$	−4.99939	+	34.7715i	−0.166002	+	1.15457i	0.721045	+	0.692889i	$0.243662\pi$
$907$	−4.99939	+	34.7715i	−0.166002	+	1.15457i	−0.887046	+	0.461680i	$0.847247\pi$
$908$	−1.27682	+	2.79585i	−0.0423728	+	0.0927834i
$909$	7.13784	−	15.6297i	0.236747	−	0.518404i
$910$	−2.85164	+	19.8336i	−0.0945308	+	0.657476i
$911$	−16.2910	+	10.4696i	−0.539743	+	0.346872i	−0.781938	−	0.623356i	$-0.785769\pi$
$911$	−16.2910	+	10.4696i	−0.539743	+	0.346872i	0.242195	+	0.970228i	$0.422133\pi$
$912$	1.47197	+	0.432211i	0.0487420	+	0.0143119i
$913$	4.12987	+	28.7239i	0.136679	+	0.950621i
$914$	−8.21351	−	9.47890i	−0.271679	−	0.313534i
$915$	0.626515	+	0.402637i	0.0207120	+	0.0133108i
$916$	−14.9117	+	17.2091i	−0.492697	+	0.568603i
$917$	−5.48142	+	1.60949i	−0.181013	+	0.0531501i
$918$	−2.00213	−	4.38405i	−0.0660801	−	0.144695i
$919$	−47.2164			−1.55753			−0.778763	−	0.627318i	$-0.784153\pi$
$919$	−47.2164			−1.55753			−0.778763	+	0.627318i	$0.784153\pi$
$920$	2.82403	−	15.4592i	0.0931056	−	0.509674i
$921$	9.11859			0.300468
$922$	−3.74543	−	8.20135i	−0.123349	−	0.270097i
$923$	−27.3054	+	8.01760i	−0.898769	+	0.263902i
$924$	−2.45553	+	2.83383i	−0.0807809	+	0.0932261i
$925$	−10.2583	−	6.59258i	−0.337289	−	0.216763i
$926$	−1.60844	−	1.85623i	−0.0528565	−	0.0609996i
$927$	−2.06929	−	14.3923i	−0.0679645	−	0.472704i
$928$	−7.13148	−	2.09399i	−0.234102	−	0.0687386i
$929$	−39.6859	+	25.5046i	−1.30205	+	0.836779i	−0.993434	−	0.114407i	$-0.963503\pi$
$929$	−39.6859	+	25.5046i	−1.30205	+	0.836779i	−0.308619	+	0.951186i	$0.599867\pi$
$930$	3.24943	−	22.6003i	0.106553	−	0.741093i
$931$	−0.637295	+	1.39548i	−0.0208865	+	0.0457351i
$932$	5.89523	−	12.9087i	0.193105	−	0.422840i
$933$	2.96195	−	20.6008i	0.0969700	−	0.674441i
$934$	35.7452	−	22.9720i	1.16962	−	0.751668i
$935$	56.8196	+	16.6837i	1.85820	+	0.545617i
$936$	−0.870248	−	6.05271i	−0.0284450	−	0.197839i
$937$	−6.40570	−	7.39257i	−0.209265	−	0.241505i	0.641408	−	0.767200i	$-0.278351\pi$
$937$	−6.40570	−	7.39257i	−0.209265	−	0.241505i	−0.850673	+	0.525695i	$0.823805\pi$
$938$	3.55971	+	2.28769i	0.116229	+	0.0746956i
$939$	−18.5164	+	21.3690i	−0.604259	+	0.697352i
$940$	38.4696	−	11.2957i	1.25474	−	0.368425i
$941$	10.8450	+	23.7472i	0.353537	+	0.774137i	0.999938	+	0.0111397i	$0.00354596\pi$
$941$	10.8450	+	23.7472i	0.353537	+	0.774137i	−0.646401	+	0.762998i	$0.723727\pi$
$942$	−21.6857			−0.706558
$943$	2.36118	+	22.4230i	0.0768905	+	0.730192i
$944$	−3.25578			−0.105967
$945$	1.36124	+	2.98069i	0.0442810	+	0.0969618i
$946$	−17.2963	+	5.07865i	−0.562351	+	0.165121i
$947$	−13.6673	+	15.7729i	−0.444126	+	0.512549i	−0.933035	−	0.359786i	$-0.882850\pi$
$947$	−13.6673	+	15.7729i	−0.444126	+	0.512549i	0.488909	+	0.872335i	$0.337395\pi$
$948$	−5.69685	−	3.66114i	−0.185025	−	0.118908i
$949$	8.00329	+	9.23629i	0.259798	+	0.299823i
$950$	1.25265	+	8.71236i	0.0406413	+	0.282666i
$951$	−21.9673	−	6.45018i	−0.712338	−	0.209161i
$952$	−4.05450	+	2.60567i	−0.131407	+	0.0844501i
$953$	0.119361	−	0.830177i	0.00386650	−	0.0268921i	−0.987797	−	0.155748i	$-0.950221\pi$
$953$	0.119361	−	0.830177i	0.00386650	−	0.0268921i	0.991663	+	0.128856i	$0.0411304\pi$
$954$	−2.52581	+	5.53075i	−0.0817761	+	0.179065i
$955$	0.326058	−	0.713967i	0.0105510	−	0.0231034i
$956$	−2.04230	+	14.2045i	−0.0660527	+	0.459407i
$957$	23.4455	−	15.0675i	0.757887	−	0.487064i
$958$	37.8457	+	11.1125i	1.22274	+	0.359029i
$959$	2.29718	+	15.9773i	0.0741799	+	0.515933i
$960$	−2.14585	−	2.47645i	−0.0692571	−	0.0799269i
$961$	14.7662	+	9.48969i	0.476330	+	0.306119i
$962$	8.51076	−	9.82194i	0.274398	−	0.316672i
$963$	16.3922	−	4.81319i	0.528232	−	0.155103i
$964$	−9.64660	−	21.1231i	−0.310696	−	0.680329i
$965$	45.6961			1.47101
$966$	−4.79239	−	0.181645i	−0.154193	−	0.00584432i
$967$	15.9034			0.511418			0.255709	−	0.966754i	$-0.417691\pi$
$967$	15.9034			0.511418			0.255709	+	0.966754i	$0.417691\pi$
$968$	1.27125	+	2.78364i	0.0408594	+	0.0894697i
$969$	−7.09431	+	2.08308i	−0.227902	+	0.0669181i
$970$	−2.55220	+	2.94540i	−0.0819462	+	0.0945710i
$971$	−22.4678	−	14.4392i	−0.721026	−	0.463376i	0.127967	−	0.991778i	$-0.459155\pi$
$971$	−22.4678	−	14.4392i	−0.721026	−	0.463376i	−0.848994	+	0.528403i	$0.822791\pi$
$972$	−0.654861	−	0.755750i	−0.0210047	−	0.0242407i
$973$	−2.15139	−	14.9633i	−0.0689704	−	0.479700i
$974$	−3.91592	−	1.14982i	−0.125474	−	0.0368425i
$975$	29.5148	−	18.9680i	0.945231	−	0.607463i
$976$	−0.0323448	+	0.224963i	−0.00103533	+	0.00720088i
$977$	−18.8070	+	41.1816i	−0.601690	+	1.31752i	0.326425	+	0.945223i	$0.394156\pi$
$977$	−18.8070	+	41.1816i	−0.601690	+	1.31752i	−0.928115	+	0.372294i	$0.878571\pi$
$978$	−10.3236	+	22.6056i	−0.330113	+	0.722847i
$979$	−7.65082	+	53.2126i	−0.244521	+	1.70068i
$980$	2.75663	−	1.77158i	0.0880572	−	0.0565909i
$981$	−10.8467	−	3.18487i	−0.346308	−	0.101685i
$982$	−2.62067	−	18.2271i	−0.0836289	−	0.581652i
$983$	−16.1153	−	18.5981i	−0.513999	−	0.593187i	0.438119	−	0.898917i	$-0.355645\pi$
$983$	−16.1153	−	18.5981i	−0.513999	−	0.593187i	−0.952118	+	0.305730i	$0.901099\pi$
$984$	3.95504	+	2.54175i	0.126082	+	0.0810280i
$985$	22.8655	−	26.3882i	0.728557	−	0.840799i
$986$	34.3708	−	10.0922i	1.09459	−	0.321400i
$987$	−5.08285	−	11.1299i	−0.161789	−	0.354268i
$988$	−9.38105			−0.298451
$989$	−18.9097	−	13.1906i	−0.601294	−	0.419436i
$990$	12.2870			0.390507
$991$	−9.08765	−	19.8992i	−0.288679	−	0.632118i	0.708619	−	0.705592i	$-0.249319\pi$
$991$	−9.08765	−	19.8992i	−0.288679	−	0.632118i	−0.997297	+	0.0734738i	$0.976591\pi$
$992$	6.68572	−	1.96311i	0.212272	−	0.0623287i
$993$	−10.2976	+	11.8841i	−0.326785	+	0.377130i
$994$	3.91508	+	2.51607i	0.124179	+	0.0798049i
$995$	8.93282	+	10.3090i	0.283190	+	0.326818i
$996$	1.10139	+	7.66033i	0.0348988	+	0.242727i
$997$	56.7668	+	16.6682i	1.79782	+	0.527888i	0.997434	−	0.0715939i	$-0.0228085\pi$
$997$	56.7668	+	16.6682i	1.79782	+	0.527888i	0.800388	+	0.599482i	$0.204627\pi$
$998$	−17.7813	+	11.4274i	−0.562857	+	0.361726i
$999$	0.302466	−	2.10370i	0.00956960	−	0.0665580i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.i.211.4	✓	40
23.6	even	11	inner	966.2.q.i.673.4	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.i.211.4	✓	40	1.1	even	1	trivial
966.2.q.i.673.4	yes	40	23.6	even	11	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.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(2.75663 + 1.77158i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(2.75663 + 1.77158i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.466338 + 3.24345i) q^{10} +(1.55768 - 3.41084i) q^{11} +(0.415415 - 0.909632i) q^{12} +(-0.870248 + 6.05271i) q^{13} +(0.841254 - 0.540641i) q^{14} +(-3.14407 - 0.923183i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(3.15616 + 3.64240i) q^{17} +(0.841254 + 0.540641i) q^{18} +(1.00463 - 1.15941i) q^{19} +(-3.14407 + 0.923183i) q^{20} +(0.415415 + 0.909632i) q^{21} +3.74969 q^{22} +(3.00107 + 3.74080i) q^{23} +1.00000 q^{24} +(2.38343 + 5.21898i) q^{25} +(-5.86725 + 1.72278i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.841254 + 0.540641i) q^{28} +(-4.86729 - 5.61715i) q^{29} +(-0.466338 - 3.24345i) q^{30} +(6.68572 + 1.96311i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.533637 + 3.71152i) q^{33} +(-2.00213 + 4.38405i) q^{34} +(1.36124 - 2.98069i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-1.78794 + 1.14904i) q^{37} +(1.47197 + 0.432211i) q^{38} +(-0.870248 - 6.05271i) q^{39} +(-2.14585 - 2.47645i) q^{40} +(3.95504 + 2.54175i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(-4.61272 + 1.35442i) q^{43} +(1.55768 + 3.41084i) q^{44} +3.27681 q^{45} +(-2.15606 + 4.28385i) q^{46} -12.2356 q^{47} +(0.415415 + 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(-3.75724 + 4.33609i) q^{50} +(-4.05450 - 2.60567i) q^{51} +(-4.00444 - 4.62137i) q^{52} +(0.865304 + 6.01832i) q^{53} +(-0.959493 - 0.281733i) q^{54} +(10.3365 - 6.64286i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(-0.637295 + 1.39548i) q^{57} +(3.08759 - 6.76089i) q^{58} +(0.463346 - 3.22264i) q^{59} +(2.75663 - 1.77158i) q^{60} +(-0.218070 - 0.0640311i) q^{61} +(0.991646 + 6.89705i) q^{62} +(-0.654861 - 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-13.1218 + 15.1433i) q^{65} +(-3.59780 + 1.05641i) q^{66} +(1.75780 + 3.84905i) q^{67} -4.81959 q^{68} +(-3.93341 - 2.74377i) q^{69} +3.27681 q^{70} +(1.93329 + 4.23331i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(1.30881 - 1.51044i) q^{73} +(-1.78794 - 1.14904i) q^{74} +(-3.75724 - 4.33609i) q^{75} +(0.218328 + 1.51850i) q^{76} +(-3.59780 - 1.05641i) q^{77} +(5.14422 - 3.30599i) q^{78} +(0.963736 - 6.70293i) q^{79} +(1.36124 - 2.98069i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.669074 + 4.65351i) q^{82} +(-6.51055 + 4.18407i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(2.24756 + 15.6321i) q^{85} +(-3.14822 - 3.63324i) q^{86} +(6.25266 + 4.01834i) q^{87} +(-2.45553 + 2.83383i) q^{88} +(-13.7564 + 4.03924i) q^{89} +(1.36124 + 2.98069i) q^{90} +6.11495 q^{91} +(-4.79239 - 0.181645i) q^{92} -6.96797 q^{93} +(-5.08285 - 11.1299i) q^{94} +(4.82338 - 1.41627i) q^{95} +(-0.654861 + 0.755750i) q^{96} +(1.00056 + 0.643019i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.533637 - 3.71152i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

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