LMFDB - Embedded newform 966.2.q.i.85.2

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			85.2
Character	$\chi$	$=$	966.85
Dual form			966.2.q.i.841.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-0.446804 - 0.978364i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-0.446804 - 0.978364i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(1.03199 + 0.303020i) q^{10} +(2.90227 + 3.34940i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(2.49457 + 0.732473i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-0.904818 - 0.581492i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.732492 - 5.09460i) q^{17} +(0.415415 + 0.909632i) q^{18} +(0.352534 + 2.45193i) q^{19} +(-0.904818 + 0.581492i) q^{20} +(-0.654861 + 0.755750i) q^{21} -4.43190 q^{22} +(-4.76175 + 0.570773i) q^{23} +1.00000 q^{24} +(2.51674 - 2.90448i) q^{25} +(-2.18716 + 1.40561i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(0.272038 - 1.89207i) q^{29} +(1.03199 - 0.303020i) q^{30} +(7.40626 + 4.75971i) q^{31} +(0.415415 - 0.909632i) q^{32} +(4.25237 + 1.24861i) q^{33} +(3.37056 + 3.88983i) q^{34} +(0.704342 + 0.812854i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(2.80559 - 6.14339i) q^{37} +(-2.08390 - 1.33924i) q^{38} +(2.49457 - 0.732473i) q^{39} +(0.153068 - 1.06461i) q^{40} +(0.344312 + 0.753938i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(6.00029 - 3.85615i) q^{43} +(2.90227 - 3.34940i) q^{44} -1.07556 q^{45} +(2.68692 - 3.97246i) q^{46} +5.12157 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.546940 + 3.80405i) q^{50} +(-2.13813 - 4.68186i) q^{51} +(0.370003 - 2.57342i) q^{52} +(3.03075 - 0.889910i) q^{53} +(0.841254 + 0.540641i) q^{54} +(1.98019 - 4.33601i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(1.62218 + 1.87210i) q^{57} +(1.25178 + 1.44463i) q^{58} +(-6.11746 - 1.79625i) q^{59} +(-0.446804 + 0.978364i) q^{60} +(1.68531 + 1.08309i) q^{61} +(-8.44722 + 2.48033i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-0.397960 - 2.76787i) q^{65} +(-3.72835 + 2.39606i) q^{66} +(10.2123 - 11.7856i) q^{67} -5.14698 q^{68} +(-3.69725 + 3.05456i) q^{69} -1.07556 q^{70} +(-5.38552 + 6.21522i) q^{71} +(0.841254 - 0.540641i) q^{72} +(0.428980 + 2.98362i) q^{73} +(2.80559 + 6.14339i) q^{74} +(0.546940 - 3.80405i) q^{75} +(2.37680 - 0.697891i) q^{76} +(-3.72835 - 2.39606i) q^{77} +(-1.08003 + 2.36494i) q^{78} +(-0.928349 - 0.272588i) q^{79} +(0.704342 + 0.812854i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.795265 - 0.233511i) q^{82} +(1.07651 - 2.35724i) q^{83} +(0.841254 + 0.540641i) q^{84} +(-5.31165 + 1.55964i) q^{85} +(-1.01507 + 7.05996i) q^{86} +(-0.794076 - 1.73878i) q^{87} +(0.630725 + 4.38679i) q^{88} +(10.0627 - 6.46689i) q^{89} +(0.704342 - 0.812854i) q^{90} -2.59989 q^{91} +(1.24263 + 4.63205i) q^{92} +8.80383 q^{93} +(-3.35392 + 3.87063i) q^{94} +(2.24136 - 1.44044i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-1.45384 - 3.18347i) q^{97} +(-0.142315 + 0.989821i) q^{98} +(4.25237 - 1.24861i) 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 $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{4}{11}\right)$

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 $

$2$	−0.654861	+	0.755750i	−0.463056	+	0.534396i
$2$	−0.654861	+	0.755750i	−0.463056	+	0.534396i
$3$	0.841254	−	0.540641i	0.485698	−	0.312139i
$3$	0.841254	−	0.540641i	0.485698	−	0.312139i
$4$	−0.142315	−	0.989821i	−0.0711574	−	0.494911i
$5$	−0.446804	−	0.978364i	−0.199817	−	0.437537i	0.783025	−	0.621991i	$-0.213676\pi$
$5$	−0.446804	−	0.978364i	−0.199817	−	0.437537i	−0.982841	+	0.184453i	$0.940949\pi$
$6$	−0.142315	+	0.989821i	−0.0580998	+	0.404093i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$8$	0.841254	+	0.540641i	0.297428	+	0.191145i
$9$	0.415415	−	0.909632i	0.138472	−	0.303211i
$10$	1.03199	+	0.303020i	0.326345	+	0.0958234i
$11$	2.90227	+	3.34940i	0.875069	+	1.00988i	0.999843	+	0.0176980i	$0.00563373\pi$
$11$	2.90227	+	3.34940i	0.875069	+	1.00988i	−0.124775	+	0.992185i	$0.539821\pi$
$12$	−0.654861	−	0.755750i	−0.189042	−	0.218166i
$13$	2.49457	+	0.732473i	0.691870	+	0.203151i	0.608719	−	0.793386i	$-0.291684\pi$
$13$	2.49457	+	0.732473i	0.691870	+	0.203151i	0.0831508	+	0.996537i	$0.473502\pi$
$14$	0.415415	−	0.909632i	0.111024	−	0.243109i
$15$	−0.904818	−	0.581492i	−0.233623	−	0.150140i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	0.732492	−	5.09460i	0.177655	−	1.23562i	−0.684513	−	0.729000i	$-0.739985\pi$
$17$	0.732492	−	5.09460i	0.177655	−	1.23562i	0.862169	−	0.506621i	$-0.169106\pi$
$18$	0.415415	+	0.909632i	0.0979143	+	0.214402i
$19$	0.352534	+	2.45193i	0.0808768	+	0.562510i	0.989460	+	0.144807i	$0.0462560\pi$
$19$	0.352534	+	2.45193i	0.0808768	+	0.562510i	−0.908583	+	0.417704i	$0.862835\pi$
$20$	−0.904818	+	0.581492i	−0.202324	+	0.130025i
$21$	−0.654861	+	0.755750i	−0.142902	+	0.164918i
$22$	−4.43190			−0.944883
$23$	−4.76175	+	0.570773i	−0.992893	+	0.119014i
$23$	−4.76175	+	0.570773i	−0.992893	+	0.119014i
$24$	1.00000			0.204124
$25$	2.51674	−	2.90448i	0.503348	−	0.580895i
$26$	−2.18716	+	1.40561i	−0.428938	+	0.275662i
$27$	−0.142315	−	0.989821i	−0.0273885	−	0.190491i
$28$	0.415415	+	0.909632i	0.0785061	+	0.171904i
$29$	0.272038	−	1.89207i	0.0505162	−	0.351348i	−0.948849	−	0.315730i	$-0.897751\pi$
$29$	0.272038	−	1.89207i	0.0505162	−	0.351348i	0.999365	−	0.0356186i	$-0.0113402\pi$
$30$	1.03199	−	0.303020i	0.188415	−	0.0553237i
$31$	7.40626	+	4.75971i	1.33020	+	0.854869i	0.996148	−	0.0876843i	$-0.0279467\pi$
$31$	7.40626	+	4.75971i	1.33020	+	0.854869i	0.334055	+	0.942554i	$0.391583\pi$
$32$	0.415415	−	0.909632i	0.0734357	−	0.160802i
$33$	4.25237	+	1.24861i	0.740243	+	0.217355i
$34$	3.37056	+	3.88983i	0.578046	+	0.667101i
$35$	0.704342	+	0.812854i	0.119056	+	0.137397i
$36$	−0.959493	−	0.281733i	−0.159915	−	0.0469554i
$37$	2.80559	−	6.14339i	0.461237	−	1.00997i	−0.525967	−	0.850505i	$-0.676297\pi$
$37$	2.80559	−	6.14339i	0.461237	−	1.00997i	0.987204	−	0.159463i	$-0.0509762\pi$
$38$	−2.08390	−	1.33924i	−0.338054	−	0.217254i
$39$	2.49457	−	0.732473i	0.399451	−	0.117290i
$40$	0.153068	−	1.06461i	0.0242022	−	0.168330i
$41$	0.344312	+	0.753938i	0.0537725	+	0.117745i	0.934611	−	0.355671i	$-0.115748\pi$
$41$	0.344312	+	0.753938i	0.0537725	+	0.117745i	−0.880839	+	0.473417i	$0.843020\pi$
$42$	−0.142315	−	0.989821i	−0.0219597	−	0.152733i
$43$	6.00029	−	3.85615i	0.915036	−	0.588058i	0.00382247	−	0.999993i	$-0.498783\pi$
$43$	6.00029	−	3.85615i	0.915036	−	0.588058i	0.911213	+	0.411935i	$0.135147\pi$
$44$	2.90227	−	3.34940i	0.437534	−	0.504942i
$45$	−1.07556			−0.160335
$46$	2.68692	−	3.97246i	0.396165	−	0.585708i
$47$	5.12157			0.747058			0.373529	−	0.927618i	$-0.378148\pi$
$47$	5.12157			0.747058			0.373529	+	0.927618i	$0.378148\pi$
$48$	−0.654861	+	0.755750i	−0.0945210	+	0.109083i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	0.546940	+	3.80405i	0.0773490	+	0.537974i
$51$	−2.13813	−	4.68186i	−0.299399	−	0.655592i
$52$	0.370003	−	2.57342i	0.0513101	−	0.356870i
$53$	3.03075	−	0.889910i	0.416306	−	0.122238i	−0.0668700	−	0.997762i	$-0.521301\pi$
$53$	3.03075	−	0.889910i	0.416306	−	0.122238i	0.483176	+	0.875523i	$0.339483\pi$
$54$	0.841254	+	0.540641i	0.114480	+	0.0735719i
$55$	1.98019	−	4.33601i	0.267008	−	0.584667i
$56$	−0.959493	−	0.281733i	−0.128218	−	0.0376481i
$57$	1.62218	+	1.87210i	0.214863	+	0.247965i
$58$	1.25178	+	1.44463i	0.164367	+	0.189690i
$59$	−6.11746	−	1.79625i	−0.796425	−	0.233852i	−0.141889	−	0.989883i	$-0.545318\pi$
$59$	−6.11746	−	1.79625i	−0.796425	−	0.233852i	−0.654536	+	0.756031i	$0.727136\pi$
$60$	−0.446804	+	0.978364i	−0.0576821	+	0.126306i
$61$	1.68531	+	1.08309i	0.215782	+	0.138675i	0.644067	−	0.764969i	$-0.277246\pi$
$61$	1.68531	+	1.08309i	0.215782	+	0.138675i	−0.428285	+	0.903644i	$0.640882\pi$
$62$	−8.44722	+	2.48033i	−1.07280	+	0.315002i
$63$	−0.142315	+	0.989821i	−0.0179300	+	0.124706i
$64$	0.415415	+	0.909632i	0.0519269	+	0.113704i
$65$	−0.397960	−	2.76787i	−0.0493608	−	0.343312i
$66$	−3.72835	+	2.39606i	−0.458928	+	0.294935i
$67$	10.2123	−	11.7856i	1.24763	−	1.43984i	0.393879	−	0.919162i	$-0.371133\pi$
$67$	10.2123	−	11.7856i	1.24763	−	1.43984i	0.853752	−	0.520680i	$-0.174322\pi$
$68$	−5.14698			−0.624164
$69$	−3.69725	+	3.05456i	−0.445097	+	0.367726i
$70$	−1.07556			−0.128554
$71$	−5.38552	+	6.21522i	−0.639143	+	0.737611i	−0.979223	−	0.202786i	$-0.935000\pi$
$71$	−5.38552	+	6.21522i	−0.639143	+	0.737611i	0.340080	+	0.940397i	$0.389546\pi$
$72$	0.841254	−	0.540641i	0.0991427	−	0.0637151i
$73$	0.428980	+	2.98362i	0.0502083	+	0.349206i	0.999404	+	0.0345201i	$0.0109903\pi$
$73$	0.428980	+	2.98362i	0.0502083	+	0.349206i	−0.949196	+	0.314686i	$0.898101\pi$
$74$	2.80559	+	6.14339i	0.326144	+	0.714155i
$75$	0.546940	−	3.80405i	0.0631552	−	0.439254i
$76$	2.37680	−	0.697891i	0.272637	−	0.0800536i
$77$	−3.72835	−	2.39606i	−0.424885	−	0.273057i
$78$	−1.08003	+	2.36494i	−0.122290	+	0.267777i
$79$	−0.928349	−	0.272588i	−0.104447	−	0.0306685i	0.229091	−	0.973405i	$-0.426425\pi$
$79$	−0.928349	−	0.272588i	−0.104447	−	0.0306685i	−0.333539	+	0.942736i	$0.608243\pi$
$80$	0.704342	+	0.812854i	0.0787478	+	0.0908798i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−0.795265	−	0.233511i	−0.0878223	−	0.0257869i
$83$	1.07651	−	2.35724i	0.118163	−	0.258740i	−0.841304	−	0.540562i	$-0.818211\pi$
$83$	1.07651	−	2.35724i	0.118163	−	0.258740i	0.959467	+	0.281822i	$0.0909388\pi$
$84$	0.841254	+	0.540641i	0.0917883	+	0.0589887i
$85$	−5.31165	+	1.55964i	−0.576129	+	0.169167i
$86$	−1.01507	+	7.05996i	−0.109458	+	0.761295i
$87$	−0.794076	−	1.73878i	−0.0851339	−	0.186417i
$88$	0.630725	+	4.38679i	0.0672355	+	0.467633i
$89$	10.0627	−	6.46689i	1.06664	−	0.685489i	0.115208	−	0.993341i	$-0.463247\pi$
$89$	10.0627	−	6.46689i	1.06664	−	0.685489i	0.951434	+	0.307852i	$0.0996102\pi$
$90$	0.704342	−	0.812854i	0.0742442	−	0.0856823i
$91$	−2.59989			−0.272542
$92$	1.24263	+	4.63205i	0.129553	+	0.482924i
$93$	8.80383			0.912915
$94$	−3.35392	+	3.87063i	−0.345930	+	0.399225i
$95$	2.24136	−	1.44044i	0.229959	−	0.147786i
$96$	−0.142315	−	0.989821i	−0.0145249	−	0.101023i
$97$	−1.45384	−	3.18347i	−0.147615	−	0.323232i	0.821352	−	0.570422i	$-0.193220\pi$
$97$	−1.45384	−	3.18347i	−0.147615	−	0.323232i	−0.968967	+	0.247190i	$0.920493\pi$
$98$	−0.142315	+	0.989821i	−0.0143760	+	0.0999871i
$99$	4.25237	−	1.24861i	0.427380	−	0.125490i
$100$	−3.23308	−	2.07778i	−0.323308	−	0.207778i
$101$	−2.82349	+	6.18258i	−0.280948	+	0.615190i	−0.996520	−	0.0833486i	$-0.973438\pi$
$101$	−2.82349	+	6.18258i	−0.280948	+	0.615190i	0.715573	+	0.698538i	$0.246166\pi$
$102$	4.93850	+	1.45007i	0.488984	+	0.143579i
$103$	10.7652	+	12.4237i	1.06073	+	1.22415i	0.973675	+	0.227942i	$0.0731997\pi$
$103$	10.7652	+	12.4237i	1.06073	+	1.22415i	0.0870536	+	0.996204i	$0.472255\pi$
$104$	1.70256	+	1.96486i	0.166950	+	0.192671i
$105$	1.03199	+	0.303020i	0.100712	+	0.0295717i
$106$	−1.31217	+	2.87326i	−0.127449	+	0.279075i
$107$	−9.89218	−	6.35732i	−0.956313	−	0.614585i	−0.0333377	−	0.999444i	$-0.510614\pi$
$107$	−9.89218	−	6.35732i	−0.956313	−	0.614585i	−0.922975	+	0.384859i	$0.874250\pi$
$108$	−0.959493	+	0.281733i	−0.0923273	+	0.0271097i
$109$	−0.623660	+	4.33765i	−0.0597358	+	0.415471i	0.937909	+	0.346881i	$0.112759\pi$
$109$	−0.623660	+	4.33765i	−0.0597358	+	0.415471i	−0.997645	+	0.0685904i	$0.978150\pi$
$110$	1.98019	+	4.33601i	0.188803	+	0.413422i
$111$	−0.961154	−	6.68497i	−0.0912287	−	0.634509i
$112$	0.841254	−	0.540641i	0.0794910	−	0.0510858i
$113$	−10.3044	+	11.8919i	−0.969358	+	1.11870i	0.0235386	+	0.999723i	$0.492507\pi$
$113$	−10.3044	+	11.8919i	−0.969358	+	1.11870i	−0.992897	+	0.118976i	$0.962039\pi$
$114$	−2.47714			−0.232005
$115$	2.68599	+	4.40369i	0.250470	+	0.410647i
$116$	−1.91152			−0.177481
$117$	1.70256	−	1.96486i	0.157402	−	0.181652i
$118$	5.36360	−	3.44697i	0.493759	−	0.317320i
$119$	0.732492	+	5.09460i	0.0671475	+	0.467021i
$120$	−0.446804	−	0.978364i	−0.0407874	−	0.0893120i
$121$	−1.22984	+	8.55374i	−0.111804	+	0.777613i
$122$	−1.92219	+	0.564405i	−0.174027	+	0.0510988i
$123$	0.697263	+	0.448104i	0.0628701	+	0.0404042i
$124$	3.65724	−	8.00825i	0.328430	−	0.719162i
$125$	−9.12608	−	2.67966i	−0.816262	−	0.239676i
$126$	−0.654861	−	0.755750i	−0.0583396	−	0.0673275i
$127$	−3.08099	−	3.55565i	−0.273394	−	0.315513i	0.602404	−	0.798191i	$-0.294210\pi$
$127$	−3.08099	−	3.55565i	−0.273394	−	0.315513i	−0.875798	+	0.482678i	$0.839664\pi$
$128$	−0.959493	−	0.281733i	−0.0848080	−	0.0249019i
$129$	2.96297	−	6.48800i	0.260875	−	0.571237i
$130$	2.35243	+	1.51181i	0.206321	+	0.132595i
$131$	−17.2073	+	5.05253i	−1.50341	+	0.441441i	−0.926793	−	0.375572i	$-0.877446\pi$
$131$	−17.2073	+	5.05253i	−1.50341	+	0.441441i	−0.576618	+	0.817014i	$0.695628\pi$
$132$	0.630725	−	4.38679i	0.0548975	−	0.381821i
$133$	−1.02904	−	2.25329i	−0.0892292	−	0.195385i
$134$	2.21934	+	15.4359i	0.191722	+	1.33346i
$135$	−0.904818	+	0.581492i	−0.0778744	+	0.0500468i
$136$	3.37056	−	3.88983i	0.289023	−	0.333550i
$137$	14.6843			1.25456			0.627281	−	0.778793i	$-0.284168\pi$
$137$	14.6843			1.25456			0.627281	+	0.778793i	$0.284168\pi$
$138$	0.112704	−	4.79451i	0.00959399	−	0.408136i
$139$	7.91772			0.671572			0.335786	−	0.941938i	$-0.390998\pi$
$139$	7.91772			0.671572			0.335786	+	0.941938i	$0.390998\pi$
$140$	0.704342	−	0.812854i	0.0595278	−	0.0686987i
$141$	4.30854	−	2.76893i	0.362845	−	0.233186i
$142$	−1.17038	−	8.14021i	−0.0982165	−	0.683111i
$143$	4.78659	+	10.4812i	0.400275	+	0.876480i
$144$	−0.142315	+	0.989821i	−0.0118596	+	0.0824851i
$145$	−1.97268	+	0.579231i	−0.163822	+	0.0481025i
$146$	−2.53579	−	1.62966i	−0.209864	−	0.134871i
$147$	0.415415	−	0.909632i	0.0342629	−	0.0750252i
$148$	−6.48014	−	1.90274i	−0.532664	−	0.156404i
$149$	−10.4990	−	12.1164i	−0.860108	−	0.992617i	−0.999997	−	0.00245030i	$-0.999220\pi$
$149$	−10.4990	−	12.1164i	−0.860108	−	0.992617i	0.139889	−	0.990167i	$-0.455325\pi$
$150$	2.51674	+	2.90448i	0.205491	+	0.237149i
$151$	14.6352	+	4.29727i	1.19099	+	0.349707i	0.816402	−	0.577483i	$-0.195965\pi$
$151$	14.6352	+	4.29727i	1.19099	+	0.349707i	0.374590	+	0.927190i	$0.377783\pi$
$152$	−1.02904	+	2.25329i	−0.0834663	+	0.182766i
$153$	−4.32992	−	2.78267i	−0.350053	−	0.224966i
$154$	4.25237	−	1.24861i	0.342666	−	0.100616i
$155$	1.34759	−	9.37267i	0.108241	−	0.752831i
$156$	−1.08003	−	2.36494i	−0.0864718	−	0.189347i
$157$	2.89511	+	20.1359i	0.231055	+	1.60702i	0.693556	+	0.720402i	$0.256043\pi$
$157$	2.89511	+	20.1359i	0.231055	+	1.60702i	−0.462502	+	0.886618i	$0.653048\pi$
$158$	0.813948	−	0.523092i	0.0647542	−	0.0416150i
$159$	2.06851	−	2.38719i	0.164044	−	0.189316i
$160$	−1.07556			−0.0850305
$161$	4.40806	−	1.88919i	0.347403	−	0.148889i
$162$	1.00000			0.0785674
$163$	−5.92122	+	6.83346i	−0.463786	+	0.535238i	−0.938673	−	0.344809i	$-0.887944\pi$
$163$	−5.92122	+	6.83346i	−0.463786	+	0.535238i	0.474887	+	0.880047i	$0.342489\pi$
$164$	0.697263	−	0.448104i	0.0544471	−	0.0349910i
$165$	−0.678382	−	4.71825i	−0.0528120	−	0.367315i
$166$	1.07651	+	2.35724i	0.0835537	+	0.182957i
$167$	−2.19069	+	15.2366i	−0.169521	+	1.17904i	0.710357	+	0.703842i	$0.248534\pi$
$167$	−2.19069	+	15.2366i	−0.169521	+	1.17904i	−0.879877	+	0.475201i	$0.842375\pi$
$168$	−0.959493	+	0.281733i	−0.0740265	+	0.0217361i
$169$	−5.24991	−	3.37392i	−0.403840	−	0.259532i
$170$	2.29969	−	5.03562i	0.176378	−	0.386215i
$171$	2.37680	+	0.697891i	0.181758	+	0.0533691i
$172$	−4.67083	−	5.39043i	−0.356148	−	0.411016i
$173$	−0.758925	−	0.875846i	−0.0577000	−	0.0665893i	0.726166	−	0.687520i	$-0.241300\pi$
$173$	−0.758925	−	0.875846i	−0.0577000	−	0.0665893i	−0.783866	+	0.620930i	$0.786755\pi$
$174$	1.83409	+	0.538539i	0.139042	+	0.0408265i
$175$	−1.59651	+	3.49587i	−0.120685	+	0.264263i
$176$	−3.72835	−	2.39606i	−0.281035	−	0.180610i
$177$	−6.11746	+	1.79625i	−0.459816	+	0.135014i
$178$	−1.70230	+	11.8398i	−0.127593	+	0.887429i
$179$	2.86909	+	6.28243i	0.214446	+	0.469571i	0.986032	−	0.166553i	$-0.0532638\pi$
$179$	2.86909	+	6.28243i	0.214446	+	0.469571i	−0.771587	+	0.636124i	$0.780537\pi$
$180$	0.153068	+	1.06461i	0.0114090	+	0.0793515i
$181$	−17.7982	+	11.4382i	−1.32293	+	0.850195i	−0.995507	−	0.0946834i	$-0.969816\pi$
$181$	−17.7982	+	11.4382i	−1.32293	+	0.850195i	−0.327422	+	0.944878i	$0.606180\pi$
$182$	1.70256	−	1.96486i	0.126202	−	0.145645i
$183$	2.00334			0.148091
$184$	−4.31442	−	2.09423i	−0.318063	−	0.154389i
$185$	−7.26402			−0.534061
$186$	−5.76528	+	6.65349i	−0.422731	+	0.487858i
$187$	19.1898	−	12.3325i	1.40329	−	0.901842i
$188$	−0.728876	−	5.06944i	−0.0531587	−	0.369727i
$189$	0.415415	+	0.909632i	0.0302170	+	0.0661660i
$190$	−0.379171	+	2.63719i	−0.0275080	+	0.191322i
$191$	−9.36544	+	2.74994i	−0.677659	+	0.198979i	−0.602411	−	0.798186i	$-0.705793\pi$
$191$	−9.36544	+	2.74994i	−0.677659	+	0.198979i	−0.0752484	+	0.997165i	$0.523975\pi$
$192$	0.841254	+	0.540641i	0.0607122	+	0.0390174i
$193$	−5.08082	+	11.1254i	−0.365725	+	0.800827i	0.633899	+	0.773416i	$0.281453\pi$
$193$	−5.08082	+	11.1254i	−0.365725	+	0.800827i	−0.999624	+	0.0274108i	$0.991274\pi$
$194$	3.35797	+	0.985989i	0.241088	+	0.0707899i
$195$	−1.83121	−	2.11333i	−0.131136	−	0.151339i
$196$	−0.654861	−	0.755750i	−0.0467758	−	0.0539821i
$197$	−16.1565	−	4.74398i	−1.15110	−	0.337995i	−0.350134	−	0.936700i	$-0.613864\pi$
$197$	−16.1565	−	4.74398i	−1.15110	−	0.337995i	−0.800970	+	0.598705i	$0.795682\pi$
$198$	−1.84108	+	4.03139i	−0.130840	+	0.286499i
$199$	−6.82363	−	4.38528i	−0.483715	−	0.310864i	0.275959	−	0.961170i	$-0.411005\pi$
$199$	−6.82363	−	4.38528i	−0.483715	−	0.310864i	−0.759673	+	0.650305i	$0.774641\pi$
$200$	3.68750	−	1.08275i	0.260745	−	0.0765617i
$201$	2.21934	−	15.4359i	0.156540	−	1.08876i
$202$	−2.82349	−	6.18258i	−0.198660	−	0.435005i
$203$	0.272038	+	1.89207i	0.0190933	+	0.132797i
$204$	−4.32992	+	2.78267i	−0.303155	+	0.194826i
$205$	0.583786	−	0.673724i	0.0407734	−	0.0470550i
$206$	−16.4389			−1.14536
$207$	−1.45891	+	4.56854i	−0.101401	+	0.317536i
$208$	−2.59989			−0.180270
$209$	−7.18934	+	8.29694i	−0.497297	+	0.573911i
$210$	−0.904818	+	0.581492i	−0.0624384	+	0.0401267i
$211$	−3.34920	−	23.2942i	−0.230569	−	1.60364i	−0.695656	−	0.718375i	$-0.744886\pi$
$211$	−3.34920	−	23.2942i	−0.230569	−	1.60364i	0.465087	−	0.885265i	$-0.346023\pi$
$212$	−1.31217	−	2.87326i	−0.0901204	−	0.197336i
$213$	−1.17038	+	8.14021i	−0.0801935	+	0.557758i
$214$	11.2825	−	3.31285i	0.771259	−	0.226462i
$215$	−6.45367	−	4.14752i	−0.440137	−	0.282859i
$216$	0.415415	−	0.909632i	0.0282654	−	0.0618926i
$217$	−8.44722	−	2.48033i	−0.573434	−	0.168376i
$218$	−2.86977	−	3.31189i	−0.194365	−	0.224309i
$219$	1.97395	+	2.27806i	0.133387	+	0.153937i
$220$	−4.57368	−	1.34295i	−0.308358	−	0.0905419i
$221$	5.55891	−	12.1723i	0.373933	−	0.818798i
$222$	5.68158	+	3.65133i	0.381323	+	0.245061i
$223$	−9.25610	+	2.71784i	−0.619835	+	0.182000i	−0.576549	−	0.817063i	$-0.695601\pi$
$223$	−9.25610	+	2.71784i	−0.619835	+	0.182000i	−0.0432860	+	0.999063i	$0.513783\pi$
$224$	−0.142315	+	0.989821i	−0.00950881	+	0.0661352i
$225$	−1.59651	−	3.49587i	−0.106434	−	0.233058i
$226$	−2.23936	−	15.5751i	−0.148960	−	1.03604i
$227$	22.5618	−	14.4996i	1.49748	−	0.962373i	0.502262	−	0.864716i	$-0.332501\pi$
$227$	22.5618	−	14.4996i	1.49748	−	0.962373i	0.995220	−	0.0976573i	$-0.0311349\pi$
$228$	1.62218	−	1.87210i	0.107432	−	0.123983i
$229$	−4.72778			−0.312421			−0.156210	−	0.987724i	$-0.549928\pi$
$229$	−4.72778			−0.312421			−0.156210	+	0.987724i	$0.549928\pi$
$230$	−5.08704	−	0.853872i	−0.335429	−	0.0563027i
$231$	−4.43190			−0.291597
$232$	1.25178	−	1.44463i	0.0821835	−	0.0948449i
$233$	13.1565	−	8.45515i	0.861909	−	0.553915i	−0.0333589	−	0.999443i	$-0.510620\pi$
$233$	13.1565	−	8.45515i	0.861909	−	0.553915i	0.895268	+	0.445528i	$0.146984\pi$
$234$	0.370003	+	2.57342i	0.0241878	+	0.168230i
$235$	−2.28834	−	5.01076i	−0.149275	−	0.326866i
$236$	−0.907359	+	6.31082i	−0.0590641	+	0.410800i
$237$	−0.928349	+	0.272588i	−0.0603028	+	0.0177065i
$238$	−4.32992	−	2.78267i	−0.280667	−	0.180374i
$239$	1.01352	−	2.21929i	0.0655589	−	0.143554i	−0.874016	−	0.485897i	$-0.838493\pi$
$239$	1.01352	−	2.21929i	0.0655589	−	0.143554i	0.939575	+	0.342343i	$0.111220\pi$
$240$	1.03199	+	0.303020i	0.0666148	+	0.0195599i
$241$	−18.9036	−	21.8159i	−1.21769	−	1.40529i	−0.887142	−	0.461497i	$-0.847313\pi$
$241$	−18.9036	−	21.8159i	−1.21769	−	1.40529i	−0.330546	−	0.943790i	$-0.607233\pi$
$242$	−5.65911	−	6.53096i	−0.363781	−	0.419826i
$243$	−0.959493	−	0.281733i	−0.0615515	−	0.0180732i
$244$	0.832216	−	1.82230i	0.0532772	−	0.116661i
$245$	−0.904818	−	0.581492i	−0.0578067	−	0.0371501i
$246$	−0.795265	+	0.233511i	−0.0507042	+	0.0148881i
$247$	−0.916548	+	6.37473i	−0.0583186	+	0.405614i
$248$	3.65724	+	8.00825i	0.232235	+	0.508524i
$249$	−0.368797	−	2.56504i	−0.0233716	−	0.162553i
$250$	8.00146	−	5.14223i	0.506057	−	0.325223i
$251$	−11.9216	+	13.7582i	−0.752482	+	0.868411i	−0.994806	−	0.101784i	$-0.967545\pi$
$251$	−11.9216	+	13.7582i	−0.752482	+	0.868411i	0.242324	+	0.970195i	$0.422090\pi$
$252$	1.00000			0.0629941
$253$	−15.7316	−	14.2925i	−0.989040	−	0.898560i
$254$	4.70480			0.295206
$255$	−3.62524	+	4.18375i	−0.227021	+	0.261996i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	2.60763	+	18.1365i	0.162660	+	1.13132i	0.893594	+	0.448876i	$0.148175\pi$
$257$	2.60763	+	18.1365i	0.162660	+	1.13132i	−0.730934	+	0.682448i	$0.760915\pi$
$258$	2.96297	+	6.48800i	0.184467	+	0.403925i
$259$	−0.961154	+	6.68497i	−0.0597232	+	0.415384i
$260$	−2.68306	+	0.787818i	−0.166397	+	0.0488584i
$261$	−1.60808	−	1.03345i	−0.0995375	−	0.0639688i
$262$	7.44996	−	16.3131i	0.460260	−	1.00783i
$263$	−4.74880	−	1.39437i	−0.292823	−	0.0859807i	0.132021	−	0.991247i	$-0.457853\pi$
$263$	−4.74880	−	1.39437i	−0.292823	−	0.0859807i	−0.424845	+	0.905266i	$0.639671\pi$
$264$	2.90227	+	3.34940i	0.178623	+	0.206142i
$265$	−2.22481	−	2.56756i	−0.136669	−	0.157724i
$266$	2.37680	+	0.697891i	0.145731	+	0.0427904i
$267$	4.96900	−	10.8806i	0.304098	−	0.665882i
$268$	−13.1190	−	8.43108i	−0.801372	−	0.515010i
$269$	−5.36787	+	1.57615i	−0.327285	+	0.0960995i	−0.441247	−	0.897386i	$-0.645464\pi$
$269$	−5.36787	+	1.57615i	−0.327285	+	0.0960995i	0.113962	+	0.993485i	$0.463646\pi$
$270$	0.153068	−	1.06461i	0.00931543	−	0.0647902i
$271$	−1.93418	−	4.23526i	−0.117493	−	0.257274i	0.841744	−	0.539877i	$-0.181529\pi$
$271$	−1.93418	−	4.23526i	−0.117493	−	0.257274i	−0.959237	+	0.282603i	$0.908802\pi$
$272$	0.732492	+	5.09460i	0.0444139	+	0.308905i
$273$	−2.18716	+	1.40561i	−0.132373	+	0.0850711i
$274$	−9.61615	+	11.0976i	−0.580933	+	0.670432i
$275$	17.0325			1.02710
$276$	3.54964	+	3.22491i	0.213663	+	0.194117i
$277$	−1.83446			−0.110222			−0.0551109	−	0.998480i	$-0.517551\pi$
$277$	−1.83446			−0.110222			−0.0551109	+	0.998480i	$0.517551\pi$
$278$	−5.18500	+	5.98381i	−0.310976	+	0.358885i
$279$	7.40626	−	4.75971i	0.443401	−	0.284956i
$280$	0.153068	+	1.06461i	0.00914757	+	0.0636227i
$281$	−1.22310	−	2.67821i	−0.0729639	−	0.159769i	0.869636	−	0.493694i	$-0.164354\pi$
$281$	−1.22310	−	2.67821i	−0.0729639	−	0.159769i	−0.942599	+	0.333926i	$0.891627\pi$
$282$	−0.728876	+	5.06944i	−0.0434039	+	0.301881i
$283$	−21.1251	+	6.20289i	−1.25576	+	0.368724i	−0.840914	−	0.541169i	$-0.817982\pi$
$283$	−21.1251	+	6.20289i	−1.25576	+	0.368724i	−0.414843	+	0.909893i	$0.636164\pi$
$284$	6.91840	+	4.44618i	0.410531	+	0.263832i
$285$	1.10680	−	2.42354i	0.0655609	−	0.143558i
$286$	−11.0557	−	3.24624i	−0.653737	−	0.191954i
$287$	−0.542774	−	0.626394i	−0.0320389	−	0.0369749i
$288$	−0.654861	−	0.755750i	−0.0385880	−	0.0445330i
$289$	−9.10698	−	2.67405i	−0.535705	−	0.157297i
$290$	0.854076	−	1.87017i	0.0501531	−	0.109820i
$291$	−2.94416	−	1.89210i	−0.172590	−	0.110917i
$292$	2.89220	−	0.849227i	0.169253	−	0.0496973i
$293$	0.589854	−	4.10252i	0.0344596	−	0.239672i	−0.965311	−	0.261104i	$-0.915913\pi$
$293$	0.589854	−	4.10252i	0.0344596	−	0.239672i	0.999770	+	0.0214320i	$0.00682255\pi$
$294$	0.415415	+	0.909632i	0.0242275	+	0.0530508i
$295$	0.975919	+	6.78767i	0.0568202	+	0.395193i
$296$	5.68158	−	3.65133i	0.330235	−	0.212229i
$297$	2.90227	−	3.34940i	0.168407	−	0.194352i
$298$	16.0323			0.928729
$299$	−12.2966	−	2.06401i	−0.711131	−	0.119365i
$300$	−3.84317			−0.221886
$301$	−4.67083	+	5.39043i	−0.269222	+	0.310699i
$302$	−12.8317	+	8.24640i	−0.738379	+	0.474527i
$303$	0.967284	+	6.72761i	0.0555690	+	0.386491i
$304$	−1.02904	−	2.25329i	−0.0590196	−	0.129235i
$305$	0.306647	−	2.13278i	0.0175586	−	0.122122i
$306$	4.93850	−	1.45007i	0.282315	−	0.0828952i
$307$	9.34358	+	6.00475i	0.533266	+	0.342709i	0.779400	−	0.626527i	$-0.215524\pi$
$307$	9.34358	+	6.00475i	0.533266	+	0.342709i	−0.246134	+	0.969236i	$0.579160\pi$
$308$	−1.84108	+	4.03139i	−0.104905	+	0.229710i
$309$	15.7730	+	4.63138i	0.897297	+	0.263470i
$310$	6.20091	+	7.15623i	0.352188	+	0.406447i
$311$	−9.99854	−	11.5389i	−0.566965	−	0.654313i	0.397785	−	0.917478i	$-0.369779\pi$
$311$	−9.99854	−	11.5389i	−0.566965	−	0.654313i	−0.964751	+	0.263166i	$0.915233\pi$
$312$	2.49457	+	0.732473i	0.141227	+	0.0414681i
$313$	2.38448	−	5.22129i	0.134779	−	0.295125i	−0.830194	−	0.557475i	$-0.811770\pi$
$313$	2.38448	−	5.22129i	0.134779	−	0.295125i	0.964973	+	0.262350i	$0.0844975\pi$
$314$	−17.1136	−	10.9982i	−0.965776	−	0.620667i
$315$	1.03199	−	0.303020i	0.0581462	−	0.0170733i
$316$	−0.137695	+	0.957693i	−0.00774598	+	0.0538745i
$317$	10.1946	+	22.3230i	0.572584	+	1.25378i	0.945410	+	0.325883i	$0.105662\pi$
$317$	10.1946	+	22.3230i	0.572584	+	1.25378i	−0.372826	+	0.927901i	$0.621611\pi$
$318$	0.449530	+	3.12655i	0.0252084	+	0.175328i
$319$	7.12683	−	4.58013i	0.399026	−	0.256438i
$320$	0.704342	−	0.812854i	0.0393739	−	0.0454399i
$321$	−11.7589			−0.656315
$322$	−1.45891	+	4.56854i	−0.0813017	+	0.254595i
$323$	12.7498			0.709418
$324$	−0.654861	+	0.755750i	−0.0363812	+	0.0419861i
$325$	8.40565	−	5.40198i	0.466261	−	0.299648i
$326$	−1.28680	−	8.94993i	−0.0712695	−	0.495691i
$327$	1.82045	+	3.98624i	0.100671	+	0.220440i
$328$	−0.117956	+	0.820402i	−0.00651303	+	0.0452991i
$329$	−4.91411	+	1.44291i	−0.270924	+	0.0795504i
$330$	4.01006	+	2.57711i	0.220747	+	0.141865i
$331$	−14.2799	+	31.2686i	−0.784893	+	1.71868i	−0.0941708	+	0.995556i	$0.530020\pi$
$331$	−14.2799	+	31.2686i	−0.784893	+	1.71868i	−0.690722	+	0.723120i	$0.742707\pi$
$332$	−2.48645	−	0.730087i	−0.136462	−	0.0400687i
$333$	−4.42274	−	5.10412i	−0.242365	−	0.279704i
$334$	−10.0804	−	11.6335i	−0.551578	−	0.636555i
$335$	−16.0935	−	4.72548i	−0.879283	−	0.258181i
$336$	0.415415	−	0.909632i	0.0226627	−	0.0496245i
$337$	−20.2918	−	13.0407i	−1.10536	−	0.710374i	−0.145085	−	0.989419i	$-0.546346\pi$
$337$	−20.2918	−	13.0407i	−1.10536	−	0.710374i	−0.960278	+	0.279045i	$0.909982\pi$
$338$	5.98780	−	1.75818i	0.325693	−	0.0956322i
$339$	−2.23936	+	15.5751i	−0.121626	+	0.845925i
$340$	2.29969	+	5.03562i	0.124718	+	0.273095i
$341$	5.55279	+	38.6205i	0.300701	+	2.09142i
$342$	−2.08390	+	1.33924i	−0.112685	+	0.0724180i
$343$	−0.654861	+	0.755750i	−0.0353592	+	0.0408066i
$344$	7.13256			0.384562
$345$	4.64041	+	2.25247i	0.249832	+	0.121269i
$346$	1.15891			0.0623034
$347$	1.72625	−	1.99220i	0.0926700	−	0.106947i	−0.707520	−	0.706693i	$-0.750186\pi$
$347$	1.72625	−	1.99220i	0.0926700	−	0.106947i	0.800190	+	0.599746i	$0.204732\pi$
$348$	−1.60808	+	1.03345i	−0.0862020	+	0.0553986i
$349$	0.897215	+	6.24027i	0.0480268	+	0.334034i	0.999642	+	0.0267427i	$0.00851348\pi$
$349$	0.897215	+	6.24027i	0.0480268	+	0.334034i	−0.951616	+	0.307291i	$0.900577\pi$
$350$	−1.59651	−	3.49587i	−0.0853371	−	0.186862i
$351$	0.370003	−	2.57342i	0.0197493	−	0.137359i
$352$	4.25237	−	1.24861i	0.226652	−	0.0665511i
$353$	−17.1927	−	11.0491i	−0.915074	−	0.588083i	−0.00384975	−	0.999993i	$-0.501225\pi$
$353$	−17.1927	−	11.0491i	−0.915074	−	0.588083i	−0.911224	+	0.411910i	$0.864862\pi$
$354$	2.64857	−	5.79956i	0.140770	−	0.308243i
$355$	8.48701	+	2.49201i	0.450444	+	0.132262i
$356$	−7.83314	−	9.03992i	−0.415156	−	0.479115i
$357$	3.37056	+	3.88983i	0.178389	+	0.205872i
$358$	−6.62680	−	1.94580i	−0.350237	−	0.102839i
$359$	7.24013	−	15.8537i	0.382119	−	0.836725i	−0.616655	−	0.787233i	$-0.711513\pi$
$359$	7.24013	−	15.8537i	0.382119	−	0.836725i	0.998775	−	0.0494913i	$-0.0157600\pi$
$360$	−0.904818	−	0.581492i	−0.0476881	−	0.0306473i
$361$	12.3427	−	3.62415i	0.649616	−	0.190744i
$362$	3.01092	−	20.9414i	0.158250	−	1.10066i
$363$	3.58989	+	7.86077i	0.188420	+	0.412583i
$364$	0.370003	+	2.57342i	0.0193934	+	0.134884i
$365$	2.72740	−	1.75279i	0.142758	−	0.0917453i
$366$	−1.31191	+	1.51402i	−0.0685744	+	0.0791391i
$367$	17.0261			0.888757			0.444379	−	0.895839i	$-0.353425\pi$
$367$	17.0261			0.888757			0.444379	+	0.895839i	$0.353425\pi$
$368$	4.40806	−	1.88919i	0.229786	−	0.0984809i
$369$	0.828838			0.0431476
$370$	4.75692	−	5.48978i	0.247301	−	0.285400i
$371$	−2.65727	+	1.70772i	−0.137959	+	0.0886606i
$372$	−1.25292	−	8.71422i	−0.0649607	−	0.451811i
$373$	5.02673	+	11.0070i	0.260274	+	0.569921i	0.993982	−	0.109544i	$-0.0349391\pi$
$373$	5.02673	+	11.0070i	0.260274	+	0.569921i	−0.733708	+	0.679465i	$0.762212\pi$
$374$	−3.24633	+	22.5787i	−0.167864	+	1.16752i
$375$	−9.12608	+	2.67966i	−0.471269	+	0.138377i
$376$	4.30854	+	2.76893i	0.222196	+	0.142797i
$377$	2.06451	−	4.52064i	0.106328	−	0.232825i
$378$	−0.959493	−	0.281733i	−0.0493510	−	0.0144908i
$379$	10.0723	+	11.6241i	0.517380	+	0.597088i	0.952973	−	0.303056i	$-0.0980068\pi$
$379$	10.0723	+	11.6241i	0.517380	+	0.597088i	−0.435593	+	0.900144i	$0.643461\pi$
$380$	−1.74475	−	2.01355i	−0.0895040	−	0.103293i
$381$	−4.51423	−	1.32550i	−0.231271	−	0.0679072i
$382$	4.05479	−	8.87875i	0.207461	−	0.454277i
$383$	21.9075	+	14.0791i	1.11942	+	0.719408i	0.963326	−	0.268334i	$-0.0864729\pi$
$383$	21.9075	+	14.0791i	1.11942	+	0.719408i	0.156095	+	0.987742i	$0.450109\pi$
$384$	−0.959493	+	0.281733i	−0.0489639	+	0.0143771i
$385$	−0.678382	+	4.71825i	−0.0345735	+	0.240464i
$386$	−5.08082	−	11.1254i	−0.258607	−	0.566270i
$387$	−1.01507	−	7.05996i	−0.0515989	−	0.358878i
$388$	−2.94416	+	1.89210i	−0.149467	+	0.0960567i
$389$	18.4655	−	21.3103i	0.936238	−	1.08048i	−0.0603696	−	0.998176i	$-0.519228\pi$
$389$	18.4655	−	21.3103i	0.936238	−	1.08048i	0.996608	−	0.0823001i	$-0.0262266\pi$
$390$	2.79633			0.141598
$391$	−0.580085	+	24.6773i	−0.0293362	+	1.24798i
$392$	1.00000			0.0505076
$393$	−11.7441	+	13.5534i	−0.592413	+	0.683681i
$394$	14.1655	−	9.10363i	0.713649	−	0.458634i
$395$	0.148100	+	1.03006i	0.00745171	+	0.0518278i
$396$	−1.84108	−	4.03139i	−0.0925175	−	0.202585i
$397$	−2.33183	+	16.2183i	−0.117031	+	0.813971i	0.843764	+	0.536714i	$0.180335\pi$
$397$	−2.33183	+	16.2183i	−0.117031	+	0.813971i	−0.960796	+	0.277257i	$0.910575\pi$
$398$	7.78271	−	2.28521i	0.390112	−	0.114547i
$399$	−2.08390	−	1.33924i	−0.104326	−	0.0670460i
$400$	−1.59651	+	3.49587i	−0.0798256	+	0.174794i
$401$	−8.91674	−	2.61819i	−0.445281	−	0.130746i	0.0514026	−	0.998678i	$-0.483631\pi$
$401$	−8.91674	−	2.61819i	−0.445281	−	0.130746i	−0.496683	+	0.867932i	$0.665449\pi$
$402$	10.2123	+	11.7856i	0.509343	+	0.587813i
$403$	14.9891	+	17.2983i	0.746660	+	0.861691i
$404$	6.52147	+	1.91488i	0.324455	+	0.0952687i
$405$	−0.446804	+	0.978364i	−0.0222019	+	0.0486153i
$406$	−1.60808	−	1.03345i	−0.0798075	−	0.0512892i
$407$	28.7193	−	8.43275i	1.42356	−	0.417996i
$408$	0.732492	−	5.09460i	0.0362638	−	0.252220i
$409$	1.21243	+	2.65486i	0.0599511	+	0.131274i	0.937236	−	0.348695i	$-0.113375\pi$
$409$	1.21243	+	2.65486i	0.0599511	+	0.131274i	−0.877285	+	0.479969i	$0.840648\pi$
$410$	0.126869	+	0.882391i	0.00626560	+	0.0435782i
$411$	12.3532	−	7.93891i	0.609338	−	0.391598i
$412$	10.7652	−	12.4237i	0.530364	−	0.612073i
$413$	6.37572			0.313729
$414$	−2.49729	−	4.09433i	−0.122735	−	0.201225i
$415$	−2.78723			−0.136820
$416$	1.70256	−	1.96486i	0.0834751	−	0.0963354i
$417$	6.66081	−	4.28064i	0.326181	−	0.209624i
$418$	−1.56239	−	10.8667i	−0.0764191	−	0.531507i
$419$	9.34521	+	20.4632i	0.456543	+	0.999690i	0.988262	+	0.152769i	$0.0488191\pi$
$419$	9.34521	+	20.4632i	0.456543	+	0.999690i	−0.531719	+	0.846921i	$0.678454\pi$
$420$	0.153068	−	1.06461i	0.00746896	−	0.0519478i
$421$	2.55958	−	0.751561i	0.124746	−	0.0366288i	−0.218763	−	0.975778i	$-0.570202\pi$
$421$	2.55958	−	0.751561i	0.124746	−	0.0366288i	0.343510	+	0.939149i	$0.388384\pi$
$422$	19.7979	+	12.7233i	0.963745	+	0.619361i
$423$	2.12758	−	4.65875i	0.103446	−	0.226516i
$424$	3.03075	+	0.889910i	0.147186	+	0.0432178i
$425$	−12.9536	−	14.9493i	−0.628343	−	0.725147i
$426$	−5.38552	−	6.21522i	−0.260929	−	0.301128i
$427$	−1.92219	−	0.564405i	−0.0930212	−	0.0273135i
$428$	−4.88481	+	10.6962i	−0.236116	+	0.517022i
$429$	9.69328	+	6.22950i	0.467996	+	0.300763i
$430$	7.36074	−	2.16131i	0.354967	−	0.104228i
$431$	2.56373	−	17.8311i	0.123490	−	0.858895i	−0.830063	−	0.557670i	$-0.811695\pi$
$431$	2.56373	−	17.8311i	0.123490	−	0.858895i	0.953553	−	0.301225i	$-0.0973954\pi$
$432$	0.415415	+	0.909632i	0.0199867	+	0.0437647i
$433$	−4.82232	−	33.5400i	−0.231746	−	1.61183i	−0.690546	−	0.723288i	$-0.742630\pi$
$433$	−4.82232	−	33.5400i	−0.231746	−	1.61183i	0.458800	−	0.888539i	$-0.348279\pi$
$434$	7.40626	−	4.75971i	0.355512	−	0.228473i
$435$	−1.34637	+	1.55379i	−0.0645533	+	0.0744985i
$436$	4.38225			0.209872
$437$	−3.07817	−	11.4742i	−0.147249	−	0.548887i
$438$	−3.01430			−0.144029
$439$	−19.8108	+	22.8628i	−0.945516	+	1.09118i	0.0502019	+	0.998739i	$0.484014\pi$
$439$	−19.8108	+	22.8628i	−0.945516	+	1.09118i	−0.995718	+	0.0924445i	$0.970532\pi$
$440$	4.01006	−	2.57711i	0.191172	−	0.122859i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	5.55891	+	12.1723i	0.264410	+	0.578978i
$443$	−0.285184	+	1.98350i	−0.0135495	+	0.0942390i	−0.995474	−	0.0950340i	$-0.969704\pi$
$443$	−0.285184	+	1.98350i	−0.0135495	+	0.0942390i	0.981925	+	0.189273i	$0.0606131\pi$
$444$	−6.48014	+	1.90274i	−0.307534	+	0.0903001i
$445$	−10.8230	−	6.95553i	−0.513060	−	0.329724i
$446$	4.00745	−	8.77510i	0.189758	−	0.415513i
$447$	−15.3829	−	4.51683i	−0.727587	−	0.213639i
$448$	−0.654861	−	0.755750i	−0.0309393	−	0.0357058i
$449$	−2.14777	−	2.47865i	−0.101359	−	0.116975i	0.702803	−	0.711384i	$-0.251931\pi$
$449$	−2.14777	−	2.47865i	−0.101359	−	0.116975i	−0.804163	+	0.594409i	$0.797386\pi$
$450$	3.68750	+	1.08275i	0.173830	+	0.0510412i
$451$	−1.52595	+	3.34137i	−0.0718544	+	0.157339i
$452$	13.2374	+	8.50714i	0.622633	+	0.400142i
$453$	14.6352	−	4.29727i	0.687620	−	0.201903i
$454$	−3.81679	+	26.5463i	−0.179131	+	1.24588i
$455$	1.16164	+	2.54364i	0.0544585	+	0.119247i
$456$	0.352534	+	2.45193i	0.0165089	+	0.114822i
$457$	−22.3833	+	14.3848i	−1.04704	+	0.672895i	−0.946719	−	0.322060i	$-0.895625\pi$
$457$	−22.3833	+	14.3848i	−1.04704	+	0.672895i	−0.100325	+	0.994955i	$0.531988\pi$
$458$	3.09604	−	3.57302i	0.144668	−	0.166956i
$459$	−5.14698			−0.240241
$460$	3.97662	−	3.28536i	0.185411	−	0.153181i
$461$	−28.3600			−1.32086			−0.660428	−	0.750889i	$-0.729625\pi$
$461$	−28.3600			−1.32086			−0.660428	+	0.750889i	$0.729625\pi$
$462$	2.90227	−	3.34940i	0.135026	−	0.155828i
$463$	17.9867	−	11.5593i	0.835912	−	0.537208i	−0.0512395	−	0.998686i	$-0.516317\pi$
$463$	17.9867	−	11.5593i	0.835912	−	0.537208i	0.887151	+	0.461478i	$0.152681\pi$
$464$	0.272038	+	1.89207i	0.0126291	+	0.0878371i
$465$	−3.93359	−	8.61335i	−0.182416	−	0.399435i
$466$	−2.22568	+	15.4799i	−0.103103	+	0.717094i
$467$	12.3840	−	3.63628i	0.573065	−	0.168267i	0.0176557	−	0.999844i	$-0.494380\pi$
$467$	12.3840	−	3.63628i	0.573065	−	0.168267i	0.555409	+	0.831577i	$0.312562\pi$
$468$	−2.18716	−	1.40561i	−0.101102	−	0.0649741i
$469$	−6.47824	+	14.1854i	−0.299137	+	0.655019i
$470$	5.28542	+	1.55194i	0.243798	+	0.0715857i
$471$	13.3218	+	15.3742i	0.613837	+	0.708406i
$472$	−4.17521	−	4.81845i	−0.192180	−	0.221787i
$473$	30.3303	+	8.90578i	1.39459	+	0.409488i
$474$	0.401931	−	0.880107i	0.0184613	−	0.0404246i
$475$	8.00879	+	5.14694i	0.367469	+	0.236158i
$476$	4.93850	−	1.45007i	0.226356	−	0.0664640i
$477$	0.449530	−	3.12655i	0.0205826	−	0.143155i
$478$	1.01352	+	2.21929i	0.0463572	+	0.101508i
$479$	1.70324	+	11.8463i	0.0778229	+	0.541270i	0.991016	+	0.133743i	$0.0426997\pi$
$479$	1.70324	+	11.8463i	0.0778229	+	0.541270i	−0.913193	+	0.407527i	$0.866391\pi$
$480$	−0.904818	+	0.581492i	−0.0412991	+	0.0265413i
$481$	11.4986	−	13.2701i	0.524292	−	0.605066i
$482$	28.8666			1.31484
$483$	2.68692	−	3.97246i	0.122259	−	0.180753i
$484$	8.64170			0.392804
$485$	−2.46501	+	2.84477i	−0.111930	+	0.129174i
$486$	0.841254	−	0.540641i	0.0381600	−	0.0245240i
$487$	−3.49769	−	24.3270i	−0.158495	−	1.10236i	−0.901408	−	0.432971i	$-0.857465\pi$
$487$	−3.49769	−	24.3270i	−0.158495	−	1.10236i	0.742912	−	0.669389i	$-0.233444\pi$
$488$	0.832216	+	1.82230i	0.0376727	+	0.0824916i
$489$	−1.28680	+	8.94993i	−0.0581913	+	0.404730i
$490$	1.03199	−	0.303020i	0.0466206	−	0.0136891i
$491$	23.7639	+	15.2721i	1.07245	+	0.689222i	0.952801	−	0.303594i	$-0.0981867\pi$
$491$	23.7639	+	15.2721i	1.07245	+	0.689222i	0.119649	+	0.992816i	$0.461823\pi$
$492$	0.344312	−	0.753938i	0.0155228	−	0.0339901i
$493$	−9.44006	−	2.77185i	−0.425159	−	0.124838i
$494$	−4.21749	−	4.86724i	−0.189754	−	0.218988i
$495$	−3.12157	−	3.60248i	−0.140304	−	0.161920i
$496$	−8.44722	−	2.48033i	−0.379291	−	0.111370i
$497$	3.41634	−	7.48074i	0.153244	−	0.335557i
$498$	2.18004	+	1.40103i	0.0976899	+	0.0627815i
$499$	16.1305	−	4.73633i	0.722098	−	0.212027i	0.100024	−	0.994985i	$-0.468108\pi$
$499$	16.1305	−	4.73633i	0.722098	−	0.212027i	0.622075	+	0.782958i	$0.286290\pi$
$500$	−1.35361	+	9.41455i	−0.0605352	+	0.421031i
$501$	6.39460	+	14.0022i	0.285689	+	0.625573i
$502$	−2.59080	−	18.0194i	−0.115633	−	0.804247i
$503$	−17.3093	+	11.1240i	−0.771784	+	0.495996i	−0.866298	−	0.499528i	$-0.833507\pi$
$503$	−17.3093	+	11.1240i	−0.771784	+	0.495996i	0.0945134	+	0.995524i	$0.469870\pi$
$504$	−0.654861	+	0.755750i	−0.0291698	+	0.0336638i
$505$	7.31035			0.325307
$506$	21.1036	−	2.52961i	0.938168	−	0.112455i
$507$	−6.24059			−0.277154
$508$	−3.08099	+	3.55565i	−0.136697	+	0.157757i
$509$	−3.33354	+	2.14234i	−0.147757	+	0.0949575i	−0.612430	−	0.790525i	$-0.709808\pi$
$509$	−3.33354	+	2.14234i	−0.147757	+	0.0949575i	0.464674	+	0.885482i	$0.346172\pi$
$510$	−0.787839	−	5.47954i	−0.0348861	−	0.242638i
$511$	−1.25219	−	2.74191i	−0.0553935	−	0.121295i
$512$	−0.142315	+	0.989821i	−0.00628949	+	0.0437443i
$513$	2.37680	−	0.697891i	0.104938	−	0.0308126i
$514$	−15.4143	−	9.90616i	−0.679895	−	0.436942i
$515$	7.34498	−	16.0833i	0.323658	−	0.708713i
$516$	−6.84364	−	2.00947i	−0.301274	−	0.0884622i
$517$	14.8642	+	17.1542i	0.653727	+	0.754441i
$518$	−4.42274	−	5.10412i	−0.194324	−	0.224262i
$519$	−1.11197	−	0.326503i	−0.0488099	−	0.0143319i
$520$	1.16164	−	2.54364i	0.0509413	−	0.111546i
$521$	−9.92710	−	6.37976i	−0.434914	−	0.279502i	0.304809	−	0.952413i	$-0.401407\pi$
$521$	−9.92710	−	6.37976i	−0.434914	−	0.279502i	−0.739723	+	0.672911i	$0.765044\pi$
$522$	1.83409	−	0.538539i	0.0802761	−	0.0235712i
$523$	2.84108	−	19.7602i	0.124232	−	0.864052i	−0.828446	−	0.560069i	$-0.810774\pi$
$523$	2.84108	−	19.7602i	0.124232	−	0.864052i	0.952678	−	0.303982i	$-0.0983164\pi$
$524$	7.44996	+	16.3131i	0.325453	+	0.712643i
$525$	0.546940	+	3.80405i	0.0238704	+	0.166022i
$526$	4.16360	−	2.67578i	0.181542	−	0.116670i
$527$	29.6738	−	34.2454i	1.29261	−	1.49175i
$528$	−4.43190			−0.192873
$529$	22.3484	−	5.43575i	0.971671	−	0.236337i
$530$	3.39737			0.147572
$531$	−4.17521	+	4.81845i	−0.181189	+	0.209103i
$532$	−2.08390	+	1.33924i	−0.0903486	+	0.0580635i
$533$	0.306672	+	2.13295i	0.0132835	+	0.0923884i
$534$	4.96900	+	10.8806i	0.215030	+	0.470849i
$535$	−1.79991	+	12.5186i	−0.0778167	+	0.541227i
$536$	14.9629	−	4.39351i	0.646300	−	0.189771i
$537$	5.81017	+	3.73397i	0.250727	+	0.161133i
$538$	2.32403	−	5.08892i	0.100196	−	0.219399i
$539$	4.25237	+	1.24861i	0.183163	+	0.0537814i
$540$	0.704342	+	0.812854i	0.0303100	+	0.0349797i
$541$	10.7299	+	12.3830i	0.461316	+	0.532387i	0.937976	−	0.346701i	$-0.112698\pi$
$541$	10.7299	+	12.3830i	0.461316	+	0.532387i	−0.476660	+	0.879088i	$0.658153\pi$
$542$	4.46741	+	1.31175i	0.191892	+	0.0563445i
$543$	−8.78883	+	19.2449i	−0.377165	+	0.825876i
$544$	−4.32992	−	2.78267i	−0.185644	−	0.119306i
$545$	4.52245	−	1.32791i	0.193721	−	0.0568815i
$546$	0.370003	−	2.57342i	0.0158346	−	0.110132i
$547$	9.68610	+	21.2096i	0.414148	+	0.906857i	0.995638	+	0.0933035i	$0.0297427\pi$
$547$	9.68610	+	21.2096i	0.414148	+	0.906857i	−0.581490	+	0.813554i	$0.697530\pi$
$548$	−2.08979	−	14.5348i	−0.0892713	−	0.620896i
$549$	1.68531	−	1.08309i	0.0719274	−	0.0462250i
$550$	−11.1539	+	12.8723i	−0.475605	+	0.548878i
$551$	4.73511			0.201723
$552$	−4.76175	+	0.570773i	−0.202673	+	0.0242937i
$553$	0.967541			0.0411440
$554$	1.20131	−	1.38639i	0.0510389	−	0.0589020i
$555$	−6.11088	+	3.92723i	−0.259393	+	0.166701i
$556$	−1.12681	−	7.83713i	−0.0477873	−	0.332368i
$557$	5.63341	+	12.3354i	0.238695	+	0.522670i	0.990631	−	0.136567i	$-0.0436069\pi$
$557$	5.63341	+	12.3354i	0.238695	+	0.522670i	−0.751936	+	0.659237i	$0.770880\pi$
$558$	−1.25292	+	8.71422i	−0.0530402	+	0.368902i
$559$	17.7927	−	5.22441i	0.752551	−	0.220969i
$560$	−0.904818	−	0.581492i	−0.0382356	−	0.0245725i
$561$	9.47599	−	20.7495i	0.400077	−	0.876046i
$562$	2.82502	+	0.829500i	0.119166	+	0.0349903i
$563$	−2.07745	−	2.39750i	−0.0875539	−	0.101043i	0.710282	−	0.703917i	$-0.248567\pi$
$563$	−2.07745	−	2.39750i	−0.0875539	−	0.101043i	−0.797836	+	0.602875i	$0.794022\pi$
$564$	−3.35392	−	3.87063i	−0.141225	−	0.162983i
$565$	16.2387	+	4.76811i	0.683167	+	0.200596i
$566$	9.14617	−	20.0273i	0.384442	−	0.841811i
$567$	0.841254	+	0.540641i	0.0353293	+	0.0227048i
$568$	−7.89079	+	2.31694i	−0.331090	+	0.0972168i
$569$	4.10066	−	28.5207i	0.171908	−	1.19565i	−0.702939	−	0.711250i	$-0.748129\pi$
$569$	4.10066	−	28.5207i	0.171908	−	1.19565i	0.874847	−	0.484399i	$-0.160962\pi$
$570$	1.10680	+	2.42354i	0.0463585	+	0.101511i
$571$	5.38824	+	37.4760i	0.225491	+	1.56832i	0.716764	+	0.697316i	$0.245623\pi$
$571$	5.38824	+	37.4760i	0.225491	+	1.56832i	−0.491273	+	0.871006i	$0.663468\pi$
$572$	9.69328	−	6.22950i	0.405297	−	0.260468i
$573$	−6.39198	+	7.37674i	−0.267029	+	0.308168i
$574$	0.828838			0.0345950
$575$	−10.3263	+	15.2669i	−0.430636	+	0.636672i
$576$	1.00000			0.0416667
$577$	−21.8966	+	25.2701i	−0.911569	+	1.05201i	0.0868732	+	0.996219i	$0.472312\pi$
$577$	−21.8966	+	25.2701i	−0.911569	+	1.05201i	−0.998443	+	0.0557878i	$0.982233\pi$
$578$	7.98472	−	5.13147i	0.332121	−	0.213441i
$579$	1.74061	+	12.1062i	0.0723373	+	0.503117i
$580$	0.854076	+	1.87017i	0.0354636	+	0.0776544i
$581$	−0.368797	+	2.56504i	−0.0153003	+	0.106416i
$582$	3.35797	−	0.985989i	0.139192	−	0.0408705i
$583$	11.7767	+	7.56845i	0.487743	+	0.313453i
$584$	−1.25219	+	2.74191i	−0.0518159	+	0.113461i
$585$	−2.68306	−	0.787818i	−0.110931	−	0.0325723i
$586$	2.71421	+	3.13236i	0.112123	+	0.129397i
$587$	16.7046	+	19.2781i	0.689472	+	0.795693i	0.987290	−	0.158930i	$-0.0508044\pi$
$587$	16.7046	+	19.2781i	0.689472	+	0.795693i	−0.297818	+	0.954623i	$0.596259\pi$
$588$	−0.959493	−	0.281733i	−0.0395688	−	0.0116185i
$589$	−9.05951	+	19.8376i	−0.373290	+	0.817392i
$590$	−5.76887	−	3.70743i	−0.237501	−	0.152632i
$591$	−16.1565	+	4.74398i	−0.664590	+	0.195141i
$592$	−0.961154	+	6.68497i	−0.0395032	+	0.274751i
$593$	2.84953	+	6.23961i	0.117016	+	0.256230i	0.959073	−	0.283159i	$-0.0913825\pi$
$593$	2.84953	+	6.23961i	0.117016	+	0.256230i	−0.842057	+	0.539389i	$0.818655\pi$
$594$	0.630725	+	4.38679i	0.0258789	+	0.179992i
$595$	4.65709	−	2.99293i	0.190922	−	0.122698i
$596$	−10.4990	+	12.1164i	−0.430054	+	0.496309i
$597$	−8.11127			−0.331972
$598$	9.61244	−	7.94151i	0.393082	−	0.324752i
$599$	−31.7636			−1.29782			−0.648912	−	0.760864i	$-0.724776\pi$
$599$	−31.7636			−1.29782			−0.648912	+	0.760864i	$0.724776\pi$
$600$	2.51674	−	2.90448i	0.102746	−	0.118575i
$601$	−2.96310	+	1.90427i	−0.120867	+	0.0776768i	−0.599678	−	0.800242i	$-0.704705\pi$
$601$	−2.96310	+	1.90427i	−0.120867	+	0.0776768i	0.478810	+	0.877918i	$0.341068\pi$
$602$	−1.01507	−	7.05996i	−0.0413711	−	0.287742i
$603$	−6.47824	−	14.1854i	−0.263814	−	0.577672i
$604$	2.17073	−	15.0978i	0.0883258	−	0.614319i
$605$	8.91816	−	2.61861i	0.362575	−	0.106462i
$606$	−5.71782	−	3.67462i	−0.232271	−	0.149271i
$607$	−0.212510	+	0.465333i	−0.00862553	+	0.0188873i	−0.913896	−	0.405949i	$-0.866941\pi$
$607$	−0.212510	+	0.465333i	−0.00862553	+	0.0188873i	0.905270	+	0.424836i	$0.139668\pi$
$608$	2.37680	+	0.697891i	0.0963919	+	0.0283032i
$609$	1.25178	+	1.44463i	0.0507248	+	0.0585395i
$610$	1.41103	+	1.62842i	0.0571311	+	0.0659328i
$611$	12.7761	+	3.75141i	0.516867	+	0.151766i
$612$	−2.13813	+	4.68186i	−0.0864290	+	0.189253i
$613$	−39.5288	−	25.4036i	−1.59655	−	1.02604i	−0.968869	−	0.247576i	$-0.920366\pi$
$613$	−39.5288	−	25.4036i	−1.59655	−	1.02604i	−0.627685	−	0.778467i	$-0.715998\pi$
$614$	−10.6568	+	3.12913i	−0.430075	+	0.126281i
$615$	0.126869	−	0.882391i	0.00511584	−	0.0355815i
$616$	−1.84108	−	4.03139i	−0.0741791	−	0.162429i
$617$	−3.52735	−	24.5333i	−0.142006	−	0.987672i	−0.928833	−	0.370499i	$-0.879187\pi$
$617$	−3.52735	−	24.5333i	−0.142006	−	0.987672i	0.786827	−	0.617174i	$-0.211722\pi$
$618$	−13.8293	+	8.88756i	−0.556297	+	0.357510i
$619$	4.56182	−	5.26462i	0.183355	−	0.211603i	−0.656630	−	0.754213i	$-0.728018\pi$
$619$	4.56182	−	5.26462i	0.183355	−	0.211603i	0.839985	+	0.542610i	$0.182564\pi$
$620$	−9.46905			−0.380286
$621$	1.24263	+	4.63205i	0.0498650	+	0.185878i
$622$	15.2682			0.612199
$623$	−7.83314	+	9.03992i	−0.313828	+	0.362177i
$624$	−2.18716	+	1.40561i	−0.0875567	+	0.0562692i
$625$	−1.27882	−	8.89436i	−0.0511526	−	0.355774i
$626$	2.38448	+	5.22129i	0.0953032	+	0.208685i
$627$	−1.56239	+	10.8667i	−0.0623960	+	0.433973i
$628$	19.5189	−	5.73128i	0.778891	−	0.228703i
$629$	−29.2430	−	18.7934i	−1.16600	−	0.749340i
$630$	−0.446804	+	0.978364i	−0.0178011	+	0.0389789i
$631$	−35.0898	−	10.3033i	−1.39690	−	0.410167i	−0.505282	−	0.862954i	$-0.668612\pi$
$631$	−35.0898	−	10.3033i	−1.39690	−	0.410167i	−0.891619	+	0.452787i	$0.850430\pi$
$632$	−0.633605	−	0.731219i	−0.0252034	−	0.0290863i
$633$	−15.4113	−	17.7856i	−0.612546	−	0.706915i
$634$	−23.5466	−	6.91391i	−0.935156	−	0.274587i
$635$	−2.10212	+	4.60301i	−0.0834202	+	0.182665i
$636$	−2.65727	−	1.70772i	−0.105368	−	0.0677157i
$637$	2.49457	−	0.732473i	0.0988386	−	0.0290216i
$638$	−1.20565	+	8.38545i	−0.0477320	+	0.331983i
$639$	3.41634	+	7.48074i	0.135148	+	0.295933i
$640$	0.153068	+	1.06461i	0.00605055	+	0.0420825i
$641$	36.2547	−	23.2995i	1.43198	−	0.920275i	0.432147	−	0.901803i	$-0.357756\pi$
$641$	36.2547	−	23.2995i	1.43198	−	0.920275i	0.999829	−	0.0184720i	$-0.00588015\pi$
$642$	7.70041	−	8.88675i	0.303911	−	0.350732i
$643$	29.2143			1.15210			0.576051	−	0.817414i	$-0.304593\pi$
$643$	29.2143			1.15210			0.576051	+	0.817414i	$0.304593\pi$
$644$	−2.49729	−	4.09433i	−0.0984072	−	0.161339i
$645$	−7.67149			−0.302065
$646$	−8.34934	+	9.63566i	−0.328501	+	0.379110i
$647$	24.2692	−	15.5969i	0.954120	−	0.613176i	0.0317553	−	0.999496i	$-0.489890\pi$
$647$	24.2692	−	15.5969i	0.954120	−	0.613176i	0.922365	+	0.386320i	$0.126254\pi$
$648$	−0.142315	−	0.989821i	−0.00559065	−	0.0388839i
$649$	−11.7382	−	25.7030i	−0.460764	−	1.00893i
$650$	−1.42198	+	9.89011i	−0.0557748	+	0.387922i
$651$	−8.44722	+	2.48033i	−0.331073	+	0.0972117i
$652$	7.60658	+	4.88845i	0.297897	+	0.191447i
$653$	−13.3888	+	29.3175i	−0.523946	+	1.14728i	0.443978	+	0.896038i	$0.353567\pi$
$653$	−13.3888	+	29.3175i	−0.523946	+	1.14728i	−0.967924	+	0.251244i	$0.919160\pi$
$654$	−4.20474	−	1.23462i	−0.164418	−	0.0482776i
$655$	12.6315	+	14.5775i	0.493554	+	0.569592i
$656$	−0.542774	−	0.626394i	−0.0211918	−	0.0244566i
$657$	2.89220	+	0.849227i	0.112836	+	0.0331315i
$658$	2.12758	−	4.65875i	0.0829416	−	0.181617i
$659$	−8.92748	−	5.73734i	−0.347765	−	0.223495i	0.355083	−	0.934835i	$-0.384452\pi$
$659$	−8.92748	−	5.73734i	−0.347765	−	0.223495i	−0.702849	+	0.711340i	$0.748089\pi$
$660$	−4.57368	+	1.34295i	−0.178030	+	0.0522744i
$661$	0.456017	−	3.17167i	0.0177370	−	0.123364i	−0.979029	−	0.203720i	$-0.934697\pi$
$661$	0.456017	−	3.17167i	0.0177370	−	0.123364i	0.996766	+	0.0803565i	$0.0256059\pi$
$662$	−14.2799	−	31.2686i	−0.555003	−	1.21529i
$663$	−1.90440	−	13.2454i	−0.0739607	−	0.514408i
$664$	2.18004	−	1.40103i	0.0846020	−	0.0543704i
$665$	−1.74475	+	2.01355i	−0.0676586	+	0.0780822i
$666$	6.75371			0.261701
$667$	−0.215436	+	9.16482i	−0.00834172	+	0.354863i
$668$	15.3933			0.595584
$669$	−6.31736	+	7.29062i	−0.244243	+	0.281872i
$670$	14.1103	−	9.06813i	0.545128	−	0.350333i
$671$	1.26355	+	8.78821i	0.0487789	+	0.339265i
$672$	0.415415	+	0.909632i	0.0160250	+	0.0350898i
$673$	−2.66288	+	18.5208i	−0.102647	+	0.713923i	0.871891	+	0.489700i	$0.162894\pi$
$673$	−2.66288	+	18.5208i	−0.102647	+	0.713923i	−0.974538	+	0.224223i	$0.928016\pi$
$674$	23.1438	−	6.79564i	0.891466	−	0.261758i
$675$	−3.23308	−	2.07778i	−0.124441	−	0.0799736i
$676$	−2.59243	+	5.67664i	−0.0997090	+	0.218332i
$677$	−24.4343	−	7.17457i	−0.939088	−	0.275741i	−0.223851	−	0.974623i	$-0.571863\pi$
$677$	−24.4343	−	7.17457i	−0.939088	−	0.275741i	−0.715237	+	0.698882i	$0.753681\pi$
$678$	−10.3044	−	11.8919i	−0.395739	−	0.456707i
$679$	2.29184	+	2.64492i	0.0879527	+	0.101503i
$680$	−5.31165	−	1.55964i	−0.203692	−	0.0598095i
$681$	11.1411	−	24.3957i	0.426930	−	0.934845i
$682$	−32.8238	−	21.0945i	−1.25689	−	0.807752i
$683$	35.3350	−	10.3753i	1.35205	−	0.396999i	0.476100	−	0.879391i	$-0.342050\pi$
$683$	35.3350	−	10.3753i	1.35205	−	0.396999i	0.875955	+	0.482392i	$0.160232\pi$
$684$	0.352534	−	2.45193i	0.0134795	−	0.0937517i
$685$	−6.56098	−	14.3665i	−0.250682	−	0.548918i
$686$	−0.142315	−	0.989821i	−0.00543361	−	0.0377916i
$687$	−3.97726	+	2.55603i	−0.151742	+	0.0975187i
$688$	−4.67083	+	5.39043i	−0.178074	+	0.205508i
$689$	8.21227			0.312863
$690$	−4.74113	+	2.03194i	−0.180492	+	0.0773546i
$691$	−39.8615			−1.51640			−0.758201	−	0.652021i	$-0.773921\pi$
$691$	−39.8615			−1.51640			−0.758201	+	0.652021i	$0.773921\pi$
$692$	−0.758925	+	0.875846i	−0.0288500	+	0.0332947i
$693$	−3.72835	+	2.39606i	−0.141628	+	0.0910189i
$694$	0.375150	+	2.60923i	0.0142405	+	0.0990449i
$695$	−3.53767	−	7.74641i	−0.134191	−	0.293838i
$696$	0.272038	−	1.89207i	0.0103116	−	0.0717187i
$697$	4.09321	−	1.20188i	0.155042	−	0.0455243i
$698$	−5.30363	−	3.40844i	−0.200745	−	0.129011i
$699$	6.49673	−	14.2258i	0.245729	−	0.538071i
$700$	3.68750	+	1.08275i	0.139374	+	0.0409240i
$701$	27.6205	+	31.8758i	1.04321	+	1.20393i	0.978547	+	0.206025i	$0.0660527\pi$
$701$	27.6205	+	31.8758i	1.04321	+	1.20393i	0.0646659	+	0.997907i	$0.479402\pi$
$702$	1.70256	+	1.96486i	0.0642591	+	0.0741590i
$703$	16.0522	+	4.71335i	0.605421	+	0.177768i
$704$	−1.84108	+	4.03139i	−0.0693882	+	0.151939i
$705$	−4.63409	−	2.97815i	−0.174530	−	0.112164i
$706$	19.6091	−	5.75776i	0.738000	−	0.216696i
$707$	0.967284	−	6.72761i	0.0363785	−	0.253018i
$708$	2.64857	+	5.79956i	0.0995393	+	0.217961i
$709$	−3.38012	−	23.5093i	−0.126943	−	0.882909i	−0.949397	−	0.314078i	$-0.898305\pi$
$709$	−3.38012	−	23.5093i	−0.126943	−	0.882909i	0.822454	−	0.568832i	$-0.192604\pi$
$710$	−7.44115	+	4.78214i	−0.279261	+	0.179470i
$711$	−0.633605	+	0.731219i	−0.0237620	+	0.0274229i
$712$	11.9615			0.448277
$713$	−37.9834	−	18.4372i	−1.42249	−	0.690480i
$714$	−5.14698			−0.192621
$715$	8.11573	−	9.36605i	0.303511	−	0.350270i
$716$	5.81017	−	3.73397i	0.217136	−	0.139545i
$717$	−0.347215	−	2.41494i	−0.0129670	−	0.0901874i
$718$	7.24013	+	15.8537i	0.270199	+	0.591654i
$719$	−4.12410	+	28.6838i	−0.153803	+	1.06972i	0.755966	+	0.654610i	$0.227167\pi$
$719$	−4.12410	+	28.6838i	−0.153803	+	1.06972i	−0.909770	+	0.415114i	$0.863742\pi$
$720$	1.03199	−	0.303020i	0.0384601	−	0.0112929i
$721$	−13.8293	−	8.88756i	−0.515031	−	0.330990i
$722$	−5.34381	+	11.7013i	−0.198876	+	0.435477i
$723$	−27.6973	−	8.13266i	−1.03007	−	0.302457i
$724$	13.8547	+	15.9892i	0.514907	+	0.594234i
$725$	−4.81081	−	5.55198i	−0.178669	−	0.206195i
$726$	−8.29165	−	2.43465i	−0.307732	−	0.0903583i
$727$	−8.59082	+	18.8113i	−0.318616	+	0.697671i	−0.999394	−	0.0348187i	$-0.988915\pi$
$727$	−8.59082	+	18.8113i	−0.318616	+	0.697671i	0.680778	+	0.732490i	$0.261642\pi$
$728$	−2.18716	−	1.40561i	−0.0810617	−	0.0520952i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	−0.461394	+	3.20906i	−0.0170769	+	0.118773i
$731$	−15.2504	−	33.3937i	−0.564055	−	1.23511i
$732$	−0.285105	−	1.98295i	−0.0105378	−	0.0732918i
$733$	−18.4981	+	11.8880i	−0.683242	+	0.439093i	−0.835678	−	0.549220i	$-0.814925\pi$
$733$	−18.4981	+	11.8880i	−0.683242	+	0.439093i	0.152435	+	0.988313i	$0.451288\pi$
$734$	−11.1497	+	12.8675i	−0.411545	+	0.474948i
$735$	−1.07556			−0.0396726
$736$	−1.45891	+	4.56854i	−0.0537760	+	0.168399i
$737$	69.1137			2.54584
$738$	−0.542774	+	0.626394i	−0.0199798	+	0.0230579i
$739$	1.81897	−	1.16898i	0.0669121	−	0.0430018i	−0.506757	−	0.862089i	$-0.669156\pi$
$739$	1.81897	−	1.16898i	0.0669121	−	0.0430018i	0.573669	+	0.819087i	$0.305520\pi$
$740$	1.03378	+	7.19008i	0.0380024	+	0.264313i
$741$	2.67539	+	5.85829i	0.0982829	+	0.215210i
$742$	0.449530	−	3.12655i	0.0165028	−	0.114779i
$743$	−20.4245	+	5.99718i	−0.749303	+	0.220015i	−0.634019	−	0.773318i	$-0.718596\pi$
$743$	−20.4245	+	5.99718i	−0.749303	+	0.220015i	−0.115284	+	0.993333i	$0.536778\pi$
$744$	7.40626	+	4.75971i	0.271527	+	0.174499i
$745$	−7.16331	+	15.6855i	−0.262443	+	0.574671i
$746$	−11.6103	−	3.40911i	−0.425085	−	0.124816i
$747$	−1.69702	−	1.95846i	−0.0620907	−	0.0716564i
$748$	−14.9380	−	17.2393i	−0.546186	−	0.630332i
$749$	11.2825	+	3.31285i	0.412255	+	0.121049i
$750$	3.95116	−	8.65184i	0.144276	−	0.315920i
$751$	−42.0837	−	27.0456i	−1.53566	−	0.986906i	−0.988727	−	0.149727i	$-0.952160\pi$
$751$	−42.0837	−	27.0456i	−1.53566	−	0.986906i	−0.546929	−	0.837179i	$-0.684203\pi$
$752$	−4.91411	+	1.44291i	−0.179199	+	0.0526177i
$753$	−2.59080	+	18.0194i	−0.0944141	+	0.656665i
$754$	2.06451	+	4.52064i	0.0751850	+	0.164632i
$755$	−2.33475	−	16.2385i	−0.0849703	−	0.590981i
$756$	0.841254	−	0.540641i	0.0305961	−	0.0196629i
$757$	14.4145	−	16.6352i	0.523904	−	0.604618i	−0.430700	−	0.902495i	$-0.641733\pi$
$757$	14.4145	−	16.6352i	0.523904	−	0.604618i	0.954604	+	0.297878i	$0.0962787\pi$
$758$	−15.3808			−0.558657
$759$	−20.9614	−	3.51842i	−0.760850	−	0.127711i
$760$	2.66431			0.0966447
$761$	−34.9555	+	40.3408i	−1.26714	+	1.46235i	−0.442420	+	0.896808i	$0.645880\pi$
$761$	−34.9555	+	40.3408i	−1.26714	+	1.46235i	−0.824717	+	0.565546i	$0.808665\pi$
$762$	3.95793	−	2.54361i	0.143381	−	0.0921452i
$763$	−0.623660	−	4.33765i	−0.0225780	−	0.157033i
$764$	4.05479	+	8.87875i	0.146697	+	0.321222i
$765$	−0.787839	+	5.47954i	−0.0284844	+	0.198113i
$766$	−24.9866	+	7.33674i	−0.902804	+	0.265087i
$767$	−13.9447	−	8.96174i	−0.503516	−	0.323590i
$768$	0.415415	−	0.909632i	0.0149900	−	0.0328235i
$769$	−23.1284	−	6.79110i	−0.834030	−	0.244893i	−0.163283	−	0.986579i	$-0.552208\pi$
$769$	−23.1284	−	6.79110i	−0.834030	−	0.244893i	−0.670747	+	0.741686i	$0.734026\pi$
$770$	−3.12157	−	3.60248i	−0.112494	−	0.129824i
$771$	11.9990	+	13.8476i	0.432134	+	0.498709i
$772$	11.7353	+	3.44579i	0.422362	+	0.124017i
$773$	15.4670	−	33.8679i	0.556308	−	1.21815i	−0.397465	−	0.917617i	$-0.630110\pi$
$773$	15.4670	−	33.8679i	0.556308	−	1.21815i	0.953773	−	0.300528i	$-0.0971629\pi$
$774$	6.00029	+	3.85615i	0.215676	+	0.138607i
$775$	32.4641	−	9.53232i	1.16614	−	0.342411i
$776$	0.498064	−	3.46411i	0.0178795	−	0.124354i
$777$	2.80559	+	6.14339i	0.100650	+	0.220393i
$778$	4.01294	+	27.9106i	0.143871	+	1.00064i
$779$	−1.72722	+	1.11002i	−0.0618840	+	0.0397704i
$780$	−1.83121	+	2.11333i	−0.0655678	+	0.0756693i
$781$	−36.4475			−1.30420
$782$	−18.2700	−	16.5986i	−0.653332	−	0.593563i
$783$	−1.91152			−0.0683123
$784$	−0.654861	+	0.755750i	−0.0233879	+	0.0269911i
$785$	18.4067	−	11.8293i	0.656963	−	0.422205i
$786$	−2.55224	−	17.7512i	−0.0910355	−	0.633166i
$787$	18.5148	+	40.5417i	0.659981	+	1.44516i	0.882540	+	0.470237i	$0.155832\pi$
$787$	18.5148	+	40.5417i	0.659981	+	1.44516i	−0.222559	+	0.974919i	$0.571441\pi$
$788$	−2.39638	+	16.6672i	−0.0853676	+	0.593745i
$789$	−4.74880	+	1.39437i	−0.169062	+	0.0496410i
$790$	−0.875449	−	0.562617i	−0.0311471	−	0.0200170i
$791$	6.53667	−	14.3133i	0.232417	−	0.508923i
$792$	4.25237	+	1.24861i	0.151101	+	0.0443674i
$793$	3.41081	+	3.93628i	0.121121	+	0.139782i
$794$	−10.7299	−	12.3830i	−0.380791	−	0.439456i
$795$	−3.25976	−	0.957151i	−0.115612	−	0.0339466i
$796$	−3.36954	+	7.37827i	−0.119430	+	0.261516i
$797$	9.48753	+	6.09726i	0.336065	+	0.215976i	0.697779	−	0.716313i	$-0.254172\pi$
$797$	9.48753	+	6.09726i	0.336065	+	0.215976i	−0.361714	+	0.932289i	$0.617808\pi$
$798$	2.37680	−	0.697891i	0.0841377	−	0.0247051i
$799$	3.75151	−	26.0923i	0.132719	−	0.923081i
$800$	−1.59651	−	3.49587i	−0.0564452	−	0.123598i
$801$	−1.70230	−	11.8398i	−0.0601479	−	0.418338i
$802$	7.81792	−	5.02427i	0.276060	−	0.177413i
$803$	−8.74833	+	10.0961i	−0.308722	+	0.356284i
$804$	−15.5946			−0.549980
$805$	−3.81785	−	3.46858i	−0.134562	−	0.122252i
$806$	−22.8890			−0.806230
$807$	−3.66361	+	4.22803i	−0.128965	+	0.148834i
$808$	−5.71782	+	3.67462i	−0.201152	+	0.129273i
$809$	−5.76286	−	40.0816i	−0.202611	−	1.40919i	−0.796496	−	0.604643i	$-0.793316\pi$
$809$	−5.76286	−	40.0816i	−0.202611	−	1.40919i	0.593885	−	0.804550i	$-0.297593\pi$
$810$	−0.446804	−	0.978364i	−0.0156991	−	0.0343762i
$811$	1.89368	−	13.1709i	0.0664962	−	0.462491i	−0.929182	−	0.369622i	$-0.879487\pi$
$811$	1.89368	−	13.1709i	0.0664962	−	0.462491i	0.995678	−	0.0928692i	$-0.0296038\pi$
$812$	1.83409	−	0.538539i	0.0643641	−	0.0188990i
$813$	−3.91689	−	2.51723i	−0.137371	−	0.0882831i
$814$	−12.4341	+	27.2269i	−0.435815	+	0.954302i
$815$	9.33123	+	2.73990i	0.326859	+	0.0959744i
$816$	3.37056	+	3.88983i	0.117993	+	0.136171i
$817$	11.5703	+	13.3528i	0.404794	+	0.467157i
$818$	−2.80039	−	0.822268i	−0.0979132	−	0.0287499i
$819$	−1.08003	+	2.36494i	−0.0377394	+	0.0826377i
$820$	−0.749948	−	0.481962i	−0.0261893	−	0.0168309i
$821$	−7.19781	+	2.11347i	−0.251205	+	0.0737605i	−0.404911	−	0.914356i	$-0.632697\pi$
$821$	−7.19781	+	2.11347i	−0.251205	+	0.0737605i	0.153706	+	0.988117i	$0.450879\pi$
$822$	−2.08979	+	14.5348i	−0.0728897	+	0.506959i
$823$	−2.60950	−	5.71401i	−0.0909614	−	0.199178i	0.858683	−	0.512507i	$-0.171283\pi$
$823$	−2.60950	−	5.71401i	−0.0909614	−	0.199178i	−0.949645	+	0.313329i	$0.898556\pi$
$824$	2.33951	+	16.2716i	0.0815005	+	0.566849i
$825$	14.3287	−	9.20848i	0.498861	−	0.320598i
$826$	−4.17521	+	4.81845i	−0.145274	+	0.167655i
$827$	−39.7099			−1.38085			−0.690425	−	0.723404i	$-0.742576\pi$
$827$	−39.7099			−1.38085			−0.690425	+	0.723404i	$0.742576\pi$
$828$	4.72967	+	0.793886i	0.164367	+	0.0275895i
$829$	−9.23504			−0.320746			−0.160373	−	0.987056i	$-0.551270\pi$
$829$	−9.23504			−0.320746			−0.160373	+	0.987056i	$0.551270\pi$
$830$	1.82524	−	2.10644i	0.0633552	−	0.0731158i
$831$	−1.54324	+	0.991781i	−0.0535345	+	0.0344045i
$832$	0.370003	+	2.57342i	0.0128275	+	0.0892174i
$833$	−2.13813	−	4.68186i	−0.0740820	−	0.162217i
$834$	−1.12681	+	7.83713i	−0.0390182	+	0.271378i
$835$	15.8857	−	4.66447i	0.549748	−	0.161421i
$836$	9.23564	+	5.93538i	0.319421	+	0.205280i
$837$	3.65724	−	8.00825i	0.126413	−	0.276806i
$838$	−21.5848	−	6.33788i	−0.745636	−	0.218938i
$839$	12.0681	+	13.9273i	0.416637	+	0.480824i	0.924809	−	0.380431i	$-0.124224\pi$
$839$	12.0681	+	13.9273i	0.416637	+	0.480824i	−0.508173	+	0.861255i	$0.669679\pi$
$840$	0.704342	+	0.812854i	0.0243021	+	0.0280461i
$841$	24.3194	+	7.14081i	0.838599	+	0.246235i
$842$	−1.10818	+	2.42657i	−0.0381903	+	0.0836251i
$843$	−2.47689	−	1.59180i	−0.0853085	−	0.0548244i
$844$	−22.5805	+	6.63023i	−0.777252	+	0.228222i
$845$	−0.955235	+	6.64380i	−0.0328611	+	0.228554i
$846$	2.12758	+	4.65875i	0.0731476	+	0.160171i
$847$	−1.22984	−	8.55374i	−0.0422579	−	0.293910i
$848$	−2.65727	+	1.70772i	−0.0912510	+	0.0586435i
$849$	−14.4180	+	16.6393i	−0.494826	+	0.571059i
$850$	19.7807			0.678474
$851$	−9.85304	+	30.8546i	−0.337758	+	1.05768i
$852$	8.22391			0.281747
$853$	−23.3703	+	26.9708i	−0.800184	+	0.923461i	−0.998391	−	0.0566990i	$-0.981942\pi$
$853$	−23.3703	+	26.9708i	−0.800184	+	0.923461i	0.198208	+	0.980160i	$0.436488\pi$
$854$	1.68531	−	1.08309i	0.0576703	−	0.0370624i
$855$	−0.379171	−	2.63719i	−0.0129674	−	0.0901901i
$856$	−4.88481	−	10.6962i	−0.166959	−	0.365590i
$857$	5.36940	−	37.3450i	0.183415	−	1.27568i	−0.665198	−	0.746667i	$-0.731653\pi$
$857$	5.36940	−	37.3450i	0.183415	−	1.27568i	0.848613	−	0.529014i	$-0.177438\pi$
$858$	−11.0557	+	3.24624i	−0.377435	+	0.110825i
$859$	−32.9174	−	21.1548i	−1.12313	−	0.721791i	−0.159014	−	0.987276i	$-0.550831\pi$
$859$	−32.9174	−	21.1548i	−1.12313	−	0.721791i	−0.964115	+	0.265486i	$0.914468\pi$
$860$	−3.18685	+	6.97824i	−0.108671	+	0.237956i
$861$	−0.795265	−	0.233511i	−0.0271025	−	0.00795802i
$862$	11.7970	+	13.6144i	0.401807	+	0.463710i
$863$	16.9007	+	19.5045i	0.575308	+	0.663941i	0.966589	−	0.256330i	$-0.0825135\pi$
$863$	16.9007	+	19.5045i	0.575308	+	0.663941i	−0.391281	+	0.920271i	$0.627968\pi$
$864$	−0.959493	−	0.281733i	−0.0326426	−	0.00958474i
$865$	−0.517805	+	1.13384i	−0.0176059	+	0.0385516i
$866$	28.5058	+	18.3195i	0.968665	+	0.622523i
$867$	−9.10698	+	2.67405i	−0.309289	+	0.0908156i
$868$	−1.25292	+	8.71422i	−0.0425267	+	0.295780i
$869$	−1.78132	−	3.90054i	−0.0604270	−	0.132317i
$870$	−0.292593	−	2.03503i	−0.00991985	−	0.0689941i
$871$	34.1080	−	21.9199i	1.15570	−	0.742726i
$872$	−2.86977	+	3.31189i	−0.0971826	+	0.112155i
$873$	−3.49973			−0.118448
$874$	10.6874	+	5.18770i	0.361507	+	0.175477i
$875$	9.51136			0.321543
$876$	1.97395	−	2.27806i	0.0666935	−	0.0769684i
$877$	−1.17232	+	0.753404i	−0.0395864	+	0.0254406i	−0.560284	−	0.828300i	$-0.689308\pi$
$877$	−1.17232	+	0.753404i	−0.0395864	+	0.0254406i	0.520698	+	0.853741i	$0.325672\pi$
$878$	−4.30529	−	29.9439i	−0.145296	−	1.01056i
$879$	−1.72177	−	3.77016i	−0.0580740	−	0.127164i
$880$	−0.678382	+	4.71825i	−0.0228682	+	0.159052i
$881$	8.17967	−	2.40177i	0.275580	−	0.0809176i	−0.141022	−	0.990006i	$-0.545039\pi$
$881$	8.17967	−	2.40177i	0.275580	−	0.0809176i	0.416602	+	0.909089i	$0.363221\pi$
$882$	0.841254	+	0.540641i	0.0283265	+	0.0182043i
$883$	23.2008	−	50.8026i	0.780769	−	1.70964i	0.0794038	−	0.996843i	$-0.474698\pi$
$883$	23.2008	−	50.8026i	0.780769	−	1.70964i	0.701365	−	0.712802i	$-0.252574\pi$
$884$	−12.8395	−	3.77003i	−0.431840	−	0.126800i
$885$	4.49069	+	5.18253i	0.150953	+	0.174209i
$886$	−1.31227	−	1.51444i	−0.0440867	−	0.0508788i
$887$	−39.6521	−	11.6429i	−1.33139	−	0.390930i	−0.462797	−	0.886464i	$-0.653154\pi$
$887$	−39.6521	−	11.6429i	−1.33139	−	0.390930i	−0.868589	+	0.495534i	$0.834972\pi$
$888$	2.80559	−	6.14339i	0.0941496	−	0.206159i
$889$	3.95793	+	2.54361i	0.132745	+	0.0853099i
$890$	12.3442	−	3.62459i	0.413779	−	0.121496i
$891$	0.630725	−	4.38679i	0.0211301	−	0.146963i
$892$	4.00745	+	8.77510i	0.134180	+	0.293812i
$893$	1.80553	+	12.5577i	0.0604197	+	0.420228i
$894$	13.4873	−	8.66774i	0.451082	−	0.289893i
$895$	4.86458	−	5.61403i	0.162605	−	0.187656i
$896$	1.00000			0.0334077
$897$	−11.4604	+	4.91168i	−0.382653	+	0.163996i
$898$	3.27973			0.109446
$899$	11.0205	−	12.7183i	0.367554	−	0.424180i
$900$	−3.23308	+	2.07778i	−0.107769	+	0.0692592i
$901$	−2.31373	−	16.0923i	−0.0770814	−	0.536113i
$902$	−1.52595	−	3.34137i	−0.0508087	−	0.111256i
$903$	−1.01507	+	7.05996i	−0.0337794	+	0.234941i
$904$	−15.0979	+	4.43314i	−0.502149	+	0.147444i
$905$	19.1430	+	12.3025i	0.636335	+	0.408948i
$906$	−6.33633	+	13.8746i	−0.210511	+	0.460954i
$907$	−36.7259	−	10.7837i	−1.21946	−	0.358067i	−0.392200	−	0.919880i	$-0.628286\pi$
$907$	−36.7259	−	10.7837i	−1.21946	−	0.358067i	−0.827264	+	0.561813i	$0.810104\pi$
$908$	−17.5629	−	20.2687i	−0.582846	−	0.672640i
$909$	4.45095	+	5.13667i	0.147629	+	0.170373i
$910$	−2.68306	−	0.787818i	−0.0889427	−	0.0261159i
$911$	−3.50415	+	7.67303i	−0.116098	+	0.254219i	−0.958756	−	0.284230i	$-0.908262\pi$
$911$	−3.50415	+	7.67303i	−0.116098	+	0.254219i	0.842658	+	0.538449i	$0.180989\pi$
$912$	−2.08390	−	1.33924i	−0.0690049	−	0.0443468i
$913$	11.0197	−	3.23567i	0.364698	−	0.107085i
$914$	3.78658	−	26.3362i	0.125249	−	0.871124i
$915$	−0.895098	−	1.95999i	−0.0295910	−	0.0647953i
$916$	0.672833	+	4.67966i	0.0222310	+	0.154620i
$917$	15.0869	−	9.69573i	0.498212	−	0.320181i
$918$	3.37056	−	3.88983i	0.111245	−	0.128384i
$919$	7.11034			0.234549			0.117274	−	0.993100i	$-0.462584\pi$
$919$	7.11034			0.234549			0.117274	+	0.993100i	$0.462584\pi$
$920$	−0.121220	+	5.15678i	−0.00399650	+	0.170014i
$921$	11.1067			0.365979
$922$	18.5718	−	21.4330i	0.611631	−	0.705860i
$923$	−17.9871	+	11.5596i	−0.592051	+	0.380488i
$924$	0.630725	+	4.38679i	0.0207493	+	0.144315i
$925$	−10.7824	−	23.6101i	−0.354522	−	0.776296i
$926$	−3.04281	+	21.1632i	−0.0999928	+	0.695465i
$927$	15.7730	−	4.63138i	0.518055	−	0.152115i
$928$	−1.60808	−	1.03345i	−0.0527877	−	0.0339246i
$929$	−19.9173	+	43.6129i	−0.653466	+	1.43089i	0.235021	+	0.971990i	$0.424484\pi$
$929$	−19.9173	+	43.6129i	−0.653466	+	1.43089i	−0.888487	+	0.458901i	$0.848243\pi$
$930$	9.08549	+	2.66774i	0.297925	+	0.0874786i
$931$	1.62218	+	1.87210i	0.0531649	+	0.0613555i
$932$	−10.2414	−	11.8193i	−0.335470	−	0.387153i
$933$	−14.6497	−	4.30155i	−0.479610	−	0.140826i
$934$	−5.36170	+	11.7405i	−0.175440	+	0.384161i
$935$	−20.6397	−	13.2643i	−0.674991	−	0.433790i
$936$	2.49457	−	0.732473i	0.0815377	−	0.0239416i
$937$	4.55171	−	31.6578i	0.148698	−	1.03422i	−0.769657	−	0.638458i	$-0.779573\pi$
$937$	4.55171	−	31.6578i	0.148698	−	1.03422i	0.918355	−	0.395759i	$-0.129518\pi$
$938$	−6.47824	−	14.1854i	−0.211522	−	0.463168i
$939$	−0.816888	−	5.68158i	−0.0266581	−	0.185411i
$940$	−4.63409	+	2.97815i	−0.151147	+	0.0971366i
$941$	−6.48287	+	7.48163i	−0.211336	+	0.243894i	−0.851514	−	0.524332i	$-0.824315\pi$
$941$	−6.48287	+	7.48163i	−0.211336	+	0.243894i	0.640178	+	0.768226i	$0.278860\pi$
$942$	−20.3430			−0.662810
$943$	−2.06985	−	3.39354i	−0.0674037	−	0.110509i
$944$	6.37572			0.207512
$945$	0.704342	−	0.812854i	0.0229122	−	0.0264421i
$946$	−26.5927	+	17.0901i	−0.864602	+	0.555646i
$947$	−7.10022	−	49.3831i	−0.230726	−	1.60474i	−0.694977	−	0.719032i	$-0.744585\pi$
$947$	−7.10022	−	49.3831i	−0.230726	−	1.60474i	0.464251	−	0.885704i	$-0.346324\pi$
$948$	0.401931	+	0.880107i	0.0130541	+	0.0285845i
$949$	−1.11530	+	7.75708i	−0.0362042	+	0.251805i
$950$	−9.13444	+	2.68211i	−0.296360	+	0.0870193i
$951$	20.6450	+	13.2677i	0.669458	+	0.430235i
$952$	−2.13813	+	4.68186i	−0.0692973	+	0.151740i
$953$	13.0323	+	3.82661i	0.422156	+	0.123956i	0.485909	−	0.874010i	$-0.338489\pi$
$953$	13.0323	+	3.82661i	0.422156	+	0.123956i	−0.0637528	+	0.997966i	$0.520307\pi$
$954$	2.06851	+	2.38719i	0.0669705	+	0.0772881i
$955$	6.87495	+	7.93412i	0.222468	+	0.256742i
$956$	−2.34094	−	0.687362i	−0.0757115	−	0.0222309i
$957$	3.51926	−	7.70611i	0.113762	−	0.249103i
$958$	−10.0682	−	6.47044i	−0.325289	−	0.209050i
$959$	−14.0894	+	4.13704i	−0.454972	+	0.133592i
$960$	0.153068	−	1.06461i	0.00494025	−	0.0343602i
$961$	19.3199	+	42.3047i	0.623223	+	1.36467i
$962$	2.49889	+	17.3802i	0.0805675	+	0.560359i
$963$	−9.89218	+	6.35732i	−0.318771	+	0.204862i
$964$	−18.9036	+	21.8159i	−0.608844	+	0.702643i
$965$	13.1549			0.423470
$966$	1.24263	+	4.63205i	0.0399810	+	0.149034i
$967$	9.78748			0.314744			0.157372	−	0.987539i	$-0.449698\pi$
$967$	9.78748			0.314744			0.157372	+	0.987539i	$0.449698\pi$
$968$	−5.65911	+	6.53096i	−0.181891	+	0.209913i
$969$	10.7258	−	6.89306i	0.344563	−	0.221437i
$970$	−0.535697	−	3.72586i	−0.0172002	−	0.119630i
$971$	12.8685	+	28.1781i	0.412969	+	0.904277i	0.995789	+	0.0916753i	$0.0292222\pi$
$971$	12.8685	+	28.1781i	0.412969	+	0.904277i	−0.582820	+	0.812602i	$0.698051\pi$
$972$	−0.142315	+	0.989821i	−0.00456475	+	0.0317485i
$973$	−7.59700	+	2.23068i	−0.243549	+	0.0715123i
$974$	20.6756	+	13.2874i	0.662489	+	0.425756i
$975$	4.15075	−	9.08887i	0.132930	−	0.291077i
$976$	−1.92219	−	0.564405i	−0.0615277	−	0.0180662i
$977$	7.22328	+	8.33611i	0.231093	+	0.266696i	0.859439	−	0.511239i	$-0.170813\pi$
$977$	7.22328	+	8.33611i	0.231093	+	0.266696i	−0.628346	+	0.777934i	$0.716268\pi$
$978$	−5.92122	−	6.83346i	−0.189340	−	0.218510i
$979$	50.8649	+	14.9353i	1.62565	+	0.477334i
$980$	−0.446804	+	0.978364i	−0.0142726	+	0.0312527i
$981$	3.68659	+	2.36923i	0.117704	+	0.0756436i
$982$	−27.1040	+	7.95844i	−0.864922	+	0.253964i
$983$	4.17817	−	29.0598i	0.133263	−	0.926864i	−0.807998	−	0.589185i	$-0.799449\pi$
$983$	4.17817	−	29.0598i	0.133263	−	0.926864i	0.941261	−	0.337679i	$-0.109642\pi$
$984$	0.344312	+	0.753938i	0.0109763	+	0.0240347i
$985$	2.57745	+	17.9266i	0.0821244	+	0.571188i
$986$	8.27675	−	5.31914i	0.263585	−	0.169396i
$987$	−3.35392	+	3.87063i	−0.106756	+	0.123203i
$988$	6.44028			0.204893
$989$	−26.3709	+	21.7868i	−0.838545	+	0.692781i
$990$	4.76677			0.151498
$991$	30.3940	−	35.0765i	0.965497	−	1.11424i	−0.0279106	−	0.999610i	$-0.508885\pi$
$991$	30.3940	−	35.0765i	0.965497	−	1.11424i	0.993408	−	0.114633i	$-0.0365692\pi$
$992$	7.40626	−	4.75971i	0.235149	−	0.151121i
$993$	4.89207	+	34.0251i	0.155245	+	1.07975i
$994$	3.41634	+	7.48074i	0.108360	+	0.237275i
$995$	−1.24158	+	8.63535i	−0.0393606	+	0.273759i
$996$	−2.48645	+	0.730087i	−0.0787861	+	0.0231337i
$997$	−34.9857	−	22.4840i	−1.10801	−	0.712074i	−0.147151	−	0.989114i	$-0.547010\pi$
$997$	−34.9857	−	22.4840i	−1.10801	−	0.712074i	−0.960858	+	0.277040i	$0.910647\pi$
$998$	−6.98372	+	15.2922i	−0.221066	+	0.484067i
$999$	−6.48014	−	1.90274i	−0.205023	−	0.0602001i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.i.85.2	✓	40
23.13	even	11	inner	966.2.q.i.841.2	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.i.85.2	✓	40	1.1	even	1	trivial
966.2.q.i.841.2	yes	40	23.13	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)

\(f(q)\)	\(=\)	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-0.446804 - 0.978364i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-0.446804 - 0.978364i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(1.03199 + 0.303020i) q^{10} +(2.90227 + 3.34940i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(2.49457 + 0.732473i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-0.904818 - 0.581492i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.732492 - 5.09460i) q^{17} +(0.415415 + 0.909632i) q^{18} +(0.352534 + 2.45193i) q^{19} +(-0.904818 + 0.581492i) q^{20} +(-0.654861 + 0.755750i) q^{21} -4.43190 q^{22} +(-4.76175 + 0.570773i) q^{23} +1.00000 q^{24} +(2.51674 - 2.90448i) q^{25} +(-2.18716 + 1.40561i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(0.272038 - 1.89207i) q^{29} +(1.03199 - 0.303020i) q^{30} +(7.40626 + 4.75971i) q^{31} +(0.415415 - 0.909632i) q^{32} +(4.25237 + 1.24861i) q^{33} +(3.37056 + 3.88983i) q^{34} +(0.704342 + 0.812854i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(2.80559 - 6.14339i) q^{37} +(-2.08390 - 1.33924i) q^{38} +(2.49457 - 0.732473i) q^{39} +(0.153068 - 1.06461i) q^{40} +(0.344312 + 0.753938i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(6.00029 - 3.85615i) q^{43} +(2.90227 - 3.34940i) q^{44} -1.07556 q^{45} +(2.68692 - 3.97246i) q^{46} +5.12157 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.546940 + 3.80405i) q^{50} +(-2.13813 - 4.68186i) q^{51} +(0.370003 - 2.57342i) q^{52} +(3.03075 - 0.889910i) q^{53} +(0.841254 + 0.540641i) q^{54} +(1.98019 - 4.33601i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(1.62218 + 1.87210i) q^{57} +(1.25178 + 1.44463i) q^{58} +(-6.11746 - 1.79625i) q^{59} +(-0.446804 + 0.978364i) q^{60} +(1.68531 + 1.08309i) q^{61} +(-8.44722 + 2.48033i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-0.397960 - 2.76787i) q^{65} +(-3.72835 + 2.39606i) q^{66} +(10.2123 - 11.7856i) q^{67} -5.14698 q^{68} +(-3.69725 + 3.05456i) q^{69} -1.07556 q^{70} +(-5.38552 + 6.21522i) q^{71} +(0.841254 - 0.540641i) q^{72} +(0.428980 + 2.98362i) q^{73} +(2.80559 + 6.14339i) q^{74} +(0.546940 - 3.80405i) q^{75} +(2.37680 - 0.697891i) q^{76} +(-3.72835 - 2.39606i) q^{77} +(-1.08003 + 2.36494i) q^{78} +(-0.928349 - 0.272588i) q^{79} +(0.704342 + 0.812854i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.795265 - 0.233511i) q^{82} +(1.07651 - 2.35724i) q^{83} +(0.841254 + 0.540641i) q^{84} +(-5.31165 + 1.55964i) q^{85} +(-1.01507 + 7.05996i) q^{86} +(-0.794076 - 1.73878i) q^{87} +(0.630725 + 4.38679i) q^{88} +(10.0627 - 6.46689i) q^{89} +(0.704342 - 0.812854i) q^{90} -2.59989 q^{91} +(1.24263 + 4.63205i) q^{92} +8.80383 q^{93} +(-3.35392 + 3.87063i) q^{94} +(2.24136 - 1.44044i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-1.45384 - 3.18347i) q^{97} +(-0.142315 + 0.989821i) q^{98} +(4.25237 - 1.24861i) 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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