LMFDB - Embedded newform 805.2.u.d.71.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [805,2,Mod(36,805)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(805, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 14]))

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

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

chi := DirichletCharacter("805.36");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 805 = 5 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	805.u (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:	$6.42795736271$
Analytic rank:	$0$
Dimension:	$130$
Relative dimension:	$13$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			71.4
Character	$\chi$	$=$	805.71
Dual form			805.2.u.d.771.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28289 - 0.824465i) q^{2} +(-0.438498 - 3.04982i) q^{3} +(0.135242 + 0.296138i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(-1.95193 + 4.27412i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.363399 + 2.52750i) q^{8} +(-6.23065 + 1.82948i) q^{9} +O(q^{10})$	\(q+(-1.28289 - 0.824465i) q^{2} +(-0.438498 - 3.04982i) q^{3} +(0.135242 + 0.296138i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(-1.95193 + 4.27412i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.363399 + 2.52750i) q^{8} +(-6.23065 + 1.82948i) q^{9} +(0.998648 + 1.15250i) q^{10} +(0.842850 - 0.541667i) q^{11} +(0.843865 - 0.542319i) q^{12} +(3.73932 + 4.31540i) q^{13} +(-1.46321 + 0.429636i) q^{14} +(-0.438498 + 3.04982i) q^{15} +(2.97643 - 3.43498i) q^{16} +(-2.61834 + 5.73337i) q^{17} +(9.50160 + 2.78992i) q^{18} +(-0.601739 - 1.31762i) q^{19} +(-0.0463318 - 0.322245i) q^{20} +(-2.59206 - 1.66581i) q^{21} -1.52787 q^{22} +(2.56450 + 4.05257i) q^{23} +7.86776 q^{24} +(0.841254 + 0.540641i) q^{25} +(-1.23925 - 8.61914i) q^{26} +(4.47181 + 9.79190i) q^{27} +(0.312371 + 0.0917204i) q^{28} +(-1.62123 + 3.54999i) q^{29} +(3.07702 - 3.55107i) q^{30} +(-0.975957 + 6.78793i) q^{31} +(-1.75035 + 0.513950i) q^{32} +(-2.02157 - 2.33302i) q^{33} +(8.08602 - 5.19657i) q^{34} +(-0.841254 + 0.540641i) q^{35} +(-1.38442 - 1.59771i) q^{36} +(-8.24716 + 2.42158i) q^{37} +(-0.314369 + 2.18648i) q^{38} +(11.5215 - 13.2965i) q^{39} +(1.06076 - 2.32273i) q^{40} +(-2.19480 - 0.644452i) q^{41} +(1.95193 + 4.27412i) q^{42} +(-0.302106 - 2.10119i) q^{43} +(0.274397 + 0.176344i) q^{44} +6.49369 q^{45} +(0.0512274 - 7.31336i) q^{46} -11.5860 q^{47} +(-11.7812 - 7.57133i) q^{48} +(-0.142315 - 0.989821i) q^{49} +(-0.633499 - 1.38717i) q^{50} +(18.6339 + 5.47141i) q^{51} +(-0.772244 + 1.69098i) q^{52} +(-7.12119 + 8.21829i) q^{53} +(2.33623 - 16.2488i) q^{54} +(-0.961313 + 0.282267i) q^{55} +(1.67218 + 1.92980i) q^{56} +(-3.75466 + 2.41297i) q^{57} +(5.00670 - 3.21761i) q^{58} +(-2.85584 - 3.29581i) q^{59} +(-0.962472 + 0.282607i) q^{60} +(0.662229 - 4.60590i) q^{61} +(6.84846 - 7.90354i) q^{62} +(-2.69757 + 5.90686i) q^{63} +(-6.05279 - 1.77726i) q^{64} +(-2.37206 - 5.19409i) q^{65} +(0.669969 + 4.65973i) q^{66} +(7.73972 + 4.97401i) q^{67} -2.05198 q^{68} +(11.2351 - 9.59831i) q^{69} +1.52498 q^{70} +(-0.379502 - 0.243891i) q^{71} +(-2.35980 - 16.4128i) q^{72} +(-3.03428 - 6.64415i) q^{73} +(12.5767 + 3.69286i) q^{74} +(1.27997 - 2.80274i) q^{75} +(0.308819 - 0.356396i) q^{76} +(0.142585 - 0.991699i) q^{77} +(-25.7434 + 7.55895i) q^{78} +(-7.24929 - 8.36613i) q^{79} +(-3.82361 + 2.45728i) q^{80} +(11.5141 - 7.39969i) q^{81} +(2.28437 + 2.63630i) q^{82} +(5.62823 - 1.65260i) q^{83} +(0.142757 - 0.992894i) q^{84} +(4.12756 - 4.76346i) q^{85} +(-1.34479 + 2.94468i) q^{86} +(11.5377 + 3.38778i) q^{87} +(1.06277 + 2.32714i) q^{88} +(-0.630234 - 4.38337i) q^{89} +(-8.33071 - 5.35382i) q^{90} +5.71010 q^{91} +(-0.853294 + 1.30752i) q^{92} +21.1299 q^{93} +(14.8636 + 9.55225i) q^{94} +(0.206147 + 1.43378i) q^{95} +(2.33498 + 5.11290i) q^{96} +(-2.57138 - 0.755025i) q^{97} +(-0.633499 + 1.38717i) q^{98} +(-4.26053 + 4.91691i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9}+O(q^{10}) $ 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9	\( 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9} + 2 q^{10} + 2 q^{11} - 5 q^{12} + 13 q^{13} - 2 q^{14} + 2 q^{15} - 6 q^{16} - 51 q^{17} + q^{18} - 9 q^{19} - 16 q^{20} - 2 q^{21} + 34 q^{22} - 10 q^{23} - 76 q^{24} - 13 q^{25} - 31 q^{26} + 14 q^{27} + 27 q^{28} + 3 q^{29} + 5 q^{30} + 6 q^{31} + 22 q^{32} - 58 q^{33} + q^{34} + 13 q^{35} + 193 q^{36} - 36 q^{37} + 4 q^{38} - 2 q^{39} - 29 q^{40} - 34 q^{41} - 5 q^{42} - 22 q^{43} + 8 q^{44} + 170 q^{45} - 198 q^{46} - 14 q^{47} - 120 q^{48} - 13 q^{49} + 2 q^{50} - 6 q^{51} + 33 q^{52} - 18 q^{53} + 188 q^{54} - 31 q^{55} - 15 q^{56} - 9 q^{57} + 114 q^{58} + 46 q^{59} - 16 q^{60} - 56 q^{61} - 146 q^{62} + 17 q^{63} - 109 q^{64} + 2 q^{65} - 14 q^{66} - 10 q^{67} + 86 q^{68} - 6 q^{69} - 2 q^{70} - 25 q^{72} + 64 q^{73} + 79 q^{74} + 2 q^{75} + 32 q^{76} - 13 q^{77} - 64 q^{78} - 118 q^{79} - 17 q^{80} + 23 q^{81} + 129 q^{82} - 117 q^{83} - 72 q^{84} - 7 q^{85} + 74 q^{86} - 51 q^{87} - 40 q^{88} - 35 q^{89} + 100 q^{90} + 42 q^{91} + 76 q^{92} - 90 q^{93} - 7 q^{94} + 2 q^{95} + 393 q^{96} - 4 q^{97} + 2 q^{98} - 40 q^{99}+O(q^{100}) \) 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9 + 2 * q^10 + 2 * q^11 - 5 * q^12 + 13 * q^13 - 2 * q^14 + 2 * q^15 - 6 * q^16 - 51 * q^17 + q^18 - 9 * q^19 - 16 * q^20 - 2 * q^21 + 34 * q^22 - 10 * q^23 - 76 * q^24 - 13 * q^25 - 31 * q^26 + 14 * q^27 + 27 * q^28 + 3 * q^29 + 5 * q^30 + 6 * q^31 + 22 * q^32 - 58 * q^33 + q^34 + 13 * q^35 + 193 * q^36 - 36 * q^37 + 4 * q^38 - 2 * q^39 - 29 * q^40 - 34 * q^41 - 5 * q^42 - 22 * q^43 + 8 * q^44 + 170 * q^45 - 198 * q^46 - 14 * q^47 - 120 * q^48 - 13 * q^49 + 2 * q^50 - 6 * q^51 + 33 * q^52 - 18 * q^53 + 188 * q^54 - 31 * q^55 - 15 * q^56 - 9 * q^57 + 114 * q^58 + 46 * q^59 - 16 * q^60 - 56 * q^61 - 146 * q^62 + 17 * q^63 - 109 * q^64 + 2 * q^65 - 14 * q^66 - 10 * q^67 + 86 * q^68 - 6 * q^69 - 2 * q^70 - 25 * q^72 + 64 * q^73 + 79 * q^74 + 2 * q^75 + 32 * q^76 - 13 * q^77 - 64 * q^78 - 118 * q^79 - 17 * q^80 + 23 * q^81 + 129 * q^82 - 117 * q^83 - 72 * q^84 - 7 * q^85 + 74 * q^86 - 51 * q^87 - 40 * q^88 - 35 * q^89 + 100 * q^90 + 42 * q^91 + 76 * q^92 - 90 * q^93 - 7 * q^94 + 2 * q^95 + 393 * q^96 - 4 * q^97 + 2 * q^98 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/805\mathbb{Z}\right)^\times$.

$n$	$162$	$281$	$346$
$\chi(n)$	$1$	$e\left(\frac{1}{11}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.28289	−	0.824465i	−0.907143	−	0.582985i	0.00175784	−	0.999998i	$-0.499440\pi$
$2$	−1.28289	−	0.824465i	−0.907143	−	0.582985i	−0.908900	+	0.417013i	$0.863077\pi$
$3$	−0.438498	−	3.04982i	−0.253167	−	1.76081i	−0.578943	−	0.815368i	$-0.696535\pi$
$3$	−0.438498	−	3.04982i	−0.253167	−	1.76081i	0.325776	−	0.945447i	$-0.394374\pi$
$4$	0.135242	+	0.296138i	0.0676209	+	0.148069i
$5$	−0.959493	−	0.281733i	−0.429098	−	0.125995i
$5$	−0.959493	−	0.281733i	−0.429098	−	0.125995i
$6$	−1.95193	+	4.27412i	−0.796870	+	1.74490i
$7$	0.654861	−	0.755750i	0.247514	−	0.285646i
$7$	0.654861	−	0.755750i	0.247514	−	0.285646i
$8$	−0.363399	+	2.52750i	−0.128481	+	0.893605i
$9$	−6.23065	+	1.82948i	−2.07688	+	0.609828i
$10$	0.998648	+	1.15250i	0.315800	+	0.364453i
$11$	0.842850	−	0.541667i	0.254129	−	0.163319i	−0.407374	−	0.913261i	$-0.633555\pi$
$11$	0.842850	−	0.541667i	0.254129	−	0.163319i	0.661503	+	0.749943i	$0.269919\pi$
$12$	0.843865	−	0.542319i	0.243603	−	0.156554i
$13$	3.73932	+	4.31540i	1.03710	+	1.19688i	0.980100	+	0.198504i	$0.0636081\pi$
$13$	3.73932	+	4.31540i	1.03710	+	1.19688i	0.0570003	+	0.998374i	$0.481846\pi$
$14$	−1.46321	+	0.429636i	−0.391058	+	0.114825i
$15$	−0.438498	+	3.04982i	−0.113220	+	0.787460i
$16$	2.97643	−	3.43498i	0.744107	−	0.858745i
$17$	−2.61834	+	5.73337i	−0.635042	+	1.39055i	0.269015	+	0.963136i	$0.413302\pi$
$17$	−2.61834	+	5.73337i	−0.635042	+	1.39055i	−0.904057	+	0.427412i	$0.859426\pi$
$18$	9.50160	+	2.78992i	2.23955	+	0.657591i
$19$	−0.601739	−	1.31762i	−0.138048	−	0.302284i	0.827963	−	0.560782i	$-0.189500\pi$
$19$	−0.601739	−	1.31762i	−0.138048	−	0.302284i	−0.966012	+	0.258499i	$0.916772\pi$
$20$	−0.0463318	−	0.322245i	−0.0103601	−	0.0720561i
$21$	−2.59206	−	1.66581i	−0.565633	−	0.363510i
$22$	−1.52787			−0.325743
$23$	2.56450	+	4.05257i	0.534735	+	0.845020i
$23$	2.56450	+	4.05257i	0.534735	+	0.845020i
$24$	7.86776			1.60600
$25$	0.841254	+	0.540641i	0.168251	+	0.108128i
$26$	−1.23925	−	8.61914i	−0.243036	−	1.69035i
$27$	4.47181	+	9.79190i	0.860600	+	1.88445i
$28$	0.312371	+	0.0917204i	0.0590326	+	0.0173335i
$29$	−1.62123	+	3.54999i	−0.301054	+	0.659216i	−0.998341	−	0.0575756i	$-0.981663\pi$
$29$	−1.62123	+	3.54999i	−0.301054	+	0.659216i	0.697287	+	0.716792i	$0.254390\pi$
$30$	3.07702	−	3.55107i	0.561784	−	0.648333i
$31$	−0.975957	+	6.78793i	−0.175287	+	1.21915i	0.692207	+	0.721699i	$0.256639\pi$
$31$	−0.975957	+	6.78793i	−0.175287	+	1.21915i	−0.867494	+	0.497448i	$0.834270\pi$
$32$	−1.75035	+	0.513950i	−0.309422	+	0.0908544i
$33$	−2.02157	−	2.33302i	−0.351911	−	0.406127i
$34$	8.08602	−	5.19657i	1.38674	−	0.891205i
$35$	−0.841254	+	0.540641i	−0.142198	+	0.0913850i
$36$	−1.38442	−	1.59771i	−0.230737	−	0.266285i
$37$	−8.24716	+	2.42158i	−1.35582	+	0.398106i	−0.877289	−	0.479962i	$-0.840650\pi$
$37$	−8.24716	+	2.42158i	−1.35582	+	0.398106i	−0.478536	+	0.878068i	$0.658832\pi$
$38$	−0.314369	+	2.18648i	−0.0509974	+	0.354695i
$39$	11.5215	−	13.2965i	1.84492	−	2.12915i
$40$	1.06076	−	2.32273i	0.167720	−	0.367256i
$41$	−2.19480	−	0.644452i	−0.342771	−	0.100647i	0.105816	−	0.994386i	$-0.466254\pi$
$41$	−2.19480	−	0.644452i	−0.342771	−	0.100647i	−0.448587	+	0.893739i	$0.648073\pi$
$42$	1.95193	+	4.27412i	0.301189	+	0.659511i
$43$	−0.302106	−	2.10119i	−0.0460707	−	0.320429i	−0.999804	−	0.0197763i	$-0.993705\pi$
$43$	−0.302106	−	2.10119i	−0.0460707	−	0.320429i	0.953734	−	0.300653i	$-0.0972045\pi$
$44$	0.274397	+	0.176344i	0.0413669	+	0.0265849i
$45$	6.49369			0.968021
$46$	0.0512274	−	7.31336i	0.00755307	−	1.07830i
$47$	−11.5860			−1.68999			−0.844995	−	0.534774i	$-0.820397\pi$
$47$	−11.5860			−1.68999			−0.844995	+	0.534774i	$0.820397\pi$
$48$	−11.7812	−	7.57133i	−1.70047	−	1.09283i
$49$	−0.142315	−	0.989821i	−0.0203307	−	0.141403i
$50$	−0.633499	−	1.38717i	−0.0895903	−	0.196175i
$51$	18.6339	+	5.47141i	2.60927	+	0.766150i
$52$	−0.772244	+	1.69098i	−0.107091	+	0.234497i
$53$	−7.12119	+	8.21829i	−0.978170	+	1.12887i	0.0134796	+	0.999909i	$0.495709\pi$
$53$	−7.12119	+	8.21829i	−0.978170	+	1.12887i	−0.991650	+	0.128959i	$0.958836\pi$
$54$	2.33623	−	16.2488i	0.317920	−	2.21118i
$55$	−0.961313	+	0.282267i	−0.129623	+	0.0380609i
$56$	1.67218	+	1.92980i	0.223454	+	0.257880i
$57$	−3.75466	+	2.41297i	−0.497316	+	0.319606i
$58$	5.00670	−	3.21761i	0.657412	−	0.422493i
$59$	−2.85584	−	3.29581i	−0.371798	−	0.429078i	0.538760	−	0.842460i	$-0.318893\pi$
$59$	−2.85584	−	3.29581i	−0.371798	−	0.429078i	−0.910558	+	0.413381i	$0.864348\pi$
$60$	−0.962472	+	0.282607i	−0.124255	+	0.0364844i
$61$	0.662229	−	4.60590i	0.0847897	−	0.589725i	−0.902487	−	0.430716i	$-0.858261\pi$
$61$	0.662229	−	4.60590i	0.0847897	−	0.589725i	0.987277	−	0.159009i	$-0.0508299\pi$
$62$	6.84846	−	7.90354i	0.869755	−	1.00375i
$63$	−2.69757	+	5.90686i	−0.339862	+	0.744195i
$64$	−6.05279	−	1.77726i	−0.756598	−	0.222157i
$65$	−2.37206	−	5.19409i	−0.294218	−	0.644247i
$66$	0.669969	+	4.65973i	0.0824674	+	0.573574i
$67$	7.73972	+	4.97401i	0.945557	+	0.607673i	0.919965	−	0.392000i	$-0.128217\pi$
$67$	7.73972	+	4.97401i	0.945557	+	0.607673i	0.0255917	+	0.999672i	$0.491853\pi$
$68$	−2.05198			−0.248839
$69$	11.2351	−	9.59831i	1.35255	−	1.15550i
$70$	1.52498			0.182270
$71$	−0.379502	−	0.243891i	−0.0450385	−	0.0289445i	0.517928	−	0.855424i	$-0.326704\pi$
$71$	−0.379502	−	0.243891i	−0.0450385	−	0.0289445i	−0.562966	+	0.826480i	$0.690340\pi$
$72$	−2.35980	−	16.4128i	−0.278105	−	1.93426i
$73$	−3.03428	−	6.64415i	−0.355136	−	0.777639i	−0.999912	−	0.0132673i	$-0.995777\pi$
$73$	−3.03428	−	6.64415i	−0.355136	−	0.777639i	0.644776	−	0.764371i	$-0.276951\pi$
$74$	12.5767	+	3.69286i	1.46202	+	0.429287i
$75$	1.27997	−	2.80274i	0.147798	−	0.323633i
$76$	0.308819	−	0.356396i	0.0354239	−	0.0408814i
$77$	0.142585	−	0.991699i	0.0162491	−	0.113015i
$78$	−25.7434	+	7.55895i	−2.91487	+	0.855883i
$79$	−7.24929	−	8.36613i	−0.815609	−	0.941263i	0.183519	−	0.983016i	$-0.441251\pi$
$79$	−7.24929	−	8.36613i	−0.815609	−	0.941263i	−0.999128	+	0.0417532i	$0.986706\pi$
$80$	−3.82361	+	2.45728i	−0.427492	+	0.274732i
$81$	11.5141	−	7.39969i	1.27935	−	0.822188i
$82$	2.28437	+	2.63630i	0.252266	+	0.291131i
$83$	5.62823	−	1.65260i	0.617779	−	0.181396i	0.0421554	−	0.999111i	$-0.486578\pi$
$83$	5.62823	−	1.65260i	0.617779	−	0.181396i	0.575624	+	0.817715i	$0.304759\pi$
$84$	0.142757	−	0.992894i	0.0155760	−	0.108334i
$85$	4.12756	−	4.76346i	0.447697	−	0.516670i
$86$	−1.34479	+	2.94468i	−0.145013	+	0.317533i
$87$	11.5377	+	3.38778i	1.23697	+	0.363209i
$88$	1.06277	+	2.32714i	0.113292	+	0.248074i
$89$	−0.630234	−	4.38337i	−0.0668046	−	0.464636i	−0.995574	−	0.0939788i	$-0.970041\pi$
$89$	−0.630234	−	4.38337i	−0.0668046	−	0.464636i	0.928770	−	0.370658i	$-0.120868\pi$
$90$	−8.33071	−	5.35382i	−0.878133	−	0.564342i
$91$	5.71010			0.598581
$92$	−0.853294	+	1.30752i	−0.0889621	+	0.136319i
$93$	21.1299			2.19107
$94$	14.8636	+	9.55225i	1.53306	+	0.985239i
$95$	0.206147	+	1.43378i	0.0211502	+	0.147103i
$96$	2.33498	+	5.11290i	0.238313	+	0.521833i
$97$	−2.57138	−	0.755025i	−0.261084	−	0.0766611i	0.148571	−	0.988902i	$-0.452533\pi$
$97$	−2.57138	−	0.755025i	−0.261084	−	0.0766611i	−0.409655	+	0.912241i	$0.634351\pi$
$98$	−0.633499	+	1.38717i	−0.0639930	+	0.140125i
$99$	−4.26053	+	4.91691i	−0.428199	+	0.494168i
$100$	−0.0463318	+	0.322245i	−0.00463318	+	0.0322245i
$101$	−6.31856	+	1.85530i	−0.628720	+	0.184609i	−0.580542	−	0.814230i	$-0.697159\pi$
$101$	−6.31856	+	1.85530i	−0.628720	+	0.184609i	−0.0481774	+	0.998839i	$0.515341\pi$
$102$	−19.3943	−	22.3822i	−1.92032	−	2.21617i
$103$	3.61569	−	2.32366i	0.356265	−	0.228957i	−0.350249	−	0.936657i	$-0.613903\pi$
$103$	3.61569	−	2.32366i	0.356265	−	0.228957i	0.706514	+	0.707699i	$0.250267\pi$
$104$	−12.2660	+	7.88290i	−1.20278	+	0.772982i
$105$	2.01775	+	2.32860i	0.196912	+	0.227248i
$106$	15.9114	−	4.67201i	1.54545	−	0.453786i
$107$	−2.80302	+	19.4954i	−0.270978	+	1.88469i	0.167381	+	0.985892i	$0.446469\pi$
$107$	−2.80302	+	19.4954i	−0.270978	+	1.88469i	−0.438359	+	0.898800i	$0.644440\pi$
$108$	−2.29498	+	2.64855i	−0.220835	+	0.254857i
$109$	−4.01298	+	8.78720i	−0.384374	+	0.841661i	0.614245	+	0.789116i	$0.289461\pi$
$109$	−4.01298	+	8.78720i	−0.384374	+	0.841661i	−0.998619	+	0.0525458i	$0.983266\pi$
$110$	1.46598	+	0.430451i	0.139776	+	0.0410419i
$111$	11.0018	+	24.0905i	1.04424	+	2.28657i
$112$	−0.646839	−	4.49887i	−0.0611206	−	0.425103i
$113$	12.6278	+	8.11537i	1.18792	+	0.763430i	0.976826	−	0.214036i	$-0.0686610\pi$
$113$	12.6278	+	8.11537i	1.18792	+	0.763430i	0.211094	+	0.977466i	$0.432297\pi$
$114$	6.80623			0.637462
$115$	−1.31888	−	4.61092i	−0.122986	−	0.429970i
$116$	−1.27054			−0.117967
$117$	−31.1933	−	20.0467i	−2.88382	−	1.85332i
$118$	0.946452	+	6.58272i	0.0871279	+	0.605988i
$119$	2.61834	+	5.73337i	0.240023	+	0.525578i
$120$	−7.54906	−	2.21660i	−0.689132	−	0.202347i
$121$	−4.15257	+	9.09287i	−0.377507	+	0.826624i
$122$	−4.64698	+	5.36290i	−0.420718	+	0.485534i
$123$	−1.00305	+	6.97635i	−0.0904417	+	0.629036i
$124$	−2.14216	+	0.628994i	−0.192371	+	0.0564853i
$125$	−0.654861	−	0.755750i	−0.0585725	−	0.0675963i
$126$	8.33071	−	5.35382i	0.742158	−	0.476956i
$127$	−2.90646	+	1.86787i	−0.257907	+	0.165746i	−0.663205	−	0.748438i	$-0.730804\pi$
$127$	−2.90646	+	1.86787i	−0.257907	+	0.165746i	0.405298	+	0.914185i	$0.367168\pi$
$128$	8.68905	+	10.0277i	0.768011	+	0.886332i
$129$	−6.27579	+	1.84274i	−0.552553	+	0.162244i
$130$	−1.23925	+	8.61914i	−0.108689	+	0.755949i
$131$	10.6215	−	12.2579i	0.928004	−	1.07097i	−0.0693002	−	0.997596i	$-0.522077\pi$
$131$	10.6215	−	12.2579i	0.928004	−	1.07097i	0.997304	−	0.0733778i	$-0.0233779\pi$
$132$	0.417495	−	0.914187i	0.0363383	−	0.0795698i
$133$	−1.38985	−	0.408097i	−0.120515	−	0.0353865i
$134$	−5.82833	−	12.7623i	−0.503491	−	1.10249i
$135$	−1.53197	−	10.6551i	−0.131851	−	0.917046i
$136$	−13.5396	−	8.70136i	−1.16101	−	0.746135i
$137$	−9.73428			−0.831655			−0.415828	−	0.909443i	$-0.636508\pi$
$137$	−9.73428			−0.831655			−0.415828	+	0.909443i	$0.636508\pi$
$138$	−22.3269	+	3.05066i	−1.90059	+	0.259689i
$139$	12.3949			1.05132			0.525662	−	0.850693i	$-0.323818\pi$
$139$	12.3949			1.05132			0.525662	+	0.850693i	$0.323818\pi$
$140$	−0.273877	−	0.176010i	−0.0231468	−	0.0148756i
$141$	5.08043	+	35.3352i	0.427850	+	2.97576i
$142$	0.285780	+	0.625772i	0.0239822	+	0.0525136i
$143$	5.48919	+	1.61177i	0.459029	+	0.134783i
$144$	−12.2608	+	26.8475i	−1.02174	+	2.23729i
$145$	2.55570	−	2.94944i	0.212239	−	0.244937i
$146$	−1.58521	+	11.0254i	−0.131193	+	0.912468i
$147$	−2.95637	+	0.868069i	−0.243838	+	0.0715972i
$148$	−1.83249	−	2.11480i	−0.150629	−	0.173836i
$149$	−1.58666	+	1.01969i	−0.129984	+	0.0835359i	−0.604017	−	0.796971i	$-0.706434\pi$
$149$	−1.58666	+	1.01969i	−0.129984	+	0.0835359i	0.474033	+	0.880507i	$0.342798\pi$
$150$	−3.95283	+	2.54033i	−0.322747	+	0.207417i
$151$	−10.9917	−	12.6851i	−0.894490	−	1.03230i	−0.999285	−	0.0378024i	$-0.987964\pi$
$151$	−10.9917	−	12.6851i	−0.894490	−	1.03230i	0.104795	−	0.994494i	$-0.466581\pi$
$152$	3.54896	−	1.04207i	0.287859	−	0.0845230i
$153$	5.82487	−	40.5128i	0.470913	−	3.27527i
$154$	−1.00054	+	1.15469i	−0.0806261	+	0.0930474i
$155$	2.84880	−	6.23801i	0.228821	−	0.501049i
$156$	5.49581	+	1.61371i	0.440017	+	0.129201i
$157$	−6.27958	−	13.7504i	−0.501165	−	1.09740i	−0.976089	−	0.217372i	$-0.930252\pi$
$157$	−6.27958	−	13.7504i	−0.501165	−	1.09740i	0.474924	−	0.880027i	$-0.342476\pi$
$158$	2.40248	+	16.7096i	0.191131	+	1.32935i
$159$	28.1869	+	18.1146i	2.23537	+	1.43658i
$160$	1.82425			0.144219
$161$	4.74212	+	0.715752i	0.373731	+	0.0564091i
$162$	−20.8722			−1.63988
$163$	8.45519	+	5.43382i	0.662262	+	0.425610i	0.828128	−	0.560538i	$-0.189406\pi$
$163$	8.45519	+	5.43382i	0.662262	+	0.425610i	−0.165867	+	0.986148i	$0.553042\pi$
$164$	−0.105982	−	0.737122i	−0.00827582	−	0.0575596i
$165$	1.28240	+	2.80806i	0.0998345	+	0.218607i
$166$	−8.58293	−	2.52018i	−0.666165	−	0.195604i
$167$	−0.603117	+	1.32064i	−0.0466706	+	0.102194i	−0.931531	−	0.363662i	$-0.881526\pi$
$167$	−0.603117	+	1.32064i	−0.0466706	+	0.102194i	0.884860	+	0.465856i	$0.154254\pi$
$168$	5.15229	−	5.94606i	0.397508	−	0.458748i
$169$	−2.79011	+	19.4057i	−0.214624	+	1.49274i
$170$	−9.22253	+	2.70798i	−0.707336	+	0.207692i
$171$	6.15979	+	7.10878i	0.471051	+	0.543622i
$172$	0.581386	−	0.373634i	0.0443303	−	0.0284894i
$173$	−17.6893	+	11.3682i	−1.34489	+	0.864310i	−0.997307	−	0.0733386i	$-0.976635\pi$
$173$	−17.6893	+	11.3682i	−1.34489	+	0.864310i	−0.347585	+	0.937648i	$0.612998\pi$
$174$	−12.0086	−	13.8586i	−0.910367	−	1.05062i
$175$	0.959493	−	0.281733i	0.0725309	−	0.0212970i
$176$	0.648066	−	4.50740i	0.0488498	−	0.339758i
$177$	−8.79936	+	10.1550i	−0.661400	+	0.763297i
$178$	−2.80542	+	6.14300i	−0.210275	+	0.460438i
$179$	−9.13296	−	2.68168i	−0.682629	−	0.200438i	−0.0780100	−	0.996953i	$-0.524857\pi$
$179$	−9.13296	−	2.68168i	−0.682629	−	0.200438i	−0.604619	+	0.796514i	$0.706675\pi$
$180$	0.878218	+	1.92303i	0.0654585	+	0.143334i
$181$	−2.04126	−	14.1973i	−0.151726	−	1.05528i	−0.913326	−	0.407229i	$-0.866495\pi$
$181$	−2.04126	−	14.1973i	−0.151726	−	1.05528i	0.761600	−	0.648047i	$-0.224414\pi$
$182$	−7.32545	−	4.70778i	−0.542998	−	0.348964i
$183$	−14.3376			−1.05986
$184$	−11.1748	+	5.00906i	−0.823817	+	0.369273i
$185$	8.59533			0.631941
$186$	−27.1074	−	17.4209i	−1.98761	−	1.27736i
$187$	0.898707	+	6.25064i	0.0657199	+	0.457092i
$188$	−1.56691	−	3.43106i	−0.114279	−	0.250235i
$189$	10.3286	+	3.03276i	0.751298	+	0.220601i
$190$	0.917639	−	2.00935i	0.0665725	−	0.145773i
$191$	1.07743	−	1.24342i	0.0779598	−	0.0899705i	−0.715430	−	0.698685i	$-0.753769\pi$
$191$	1.07743	−	1.24342i	0.0779598	−	0.0899705i	0.793389	+	0.608714i	$0.208314\pi$
$192$	−2.76619	+	19.2392i	−0.199632	+	1.38847i
$193$	22.2545	−	6.53450i	1.60191	−	0.470363i	0.645833	−	0.763478i	$-0.276510\pi$
$193$	22.2545	−	6.53450i	1.60191	−	0.470363i	0.956077	+	0.293115i	$0.0946919\pi$
$194$	2.67631	+	3.08863i	0.192148	+	0.221751i
$195$	−14.8009	+	9.51196i	−1.05991	+	0.681165i
$196$	0.273877	−	0.176010i	0.0195626	−	0.0125722i
$197$	5.34768	+	6.17155i	0.381006	+	0.439705i	0.913568	−	0.406687i	$-0.133316\pi$
$197$	5.34768	+	6.17155i	0.381006	+	0.439705i	−0.532562	+	0.846391i	$0.678771\pi$
$198$	9.51963	−	2.79521i	0.676530	−	0.198647i
$199$	0.414326	−	2.88170i	0.0293708	−	0.204278i	−0.969852	−	0.243694i	$-0.921641\pi$
$199$	0.414326	−	2.88170i	0.0293708	−	0.204278i	0.999223	+	0.0394160i	$0.0125498\pi$
$200$	−1.67218	+	1.92980i	−0.118241	+	0.136457i
$201$	11.7760	−	25.7858i	0.830615	−	1.81879i
$202$	9.63566	+	2.82929i	0.677963	+	0.199068i
$203$	1.62123	+	3.54999i	0.113788	+	0.249160i
$204$	0.899790	+	6.25817i	0.0629979	+	0.438160i
$205$	1.92434	+	1.23670i	0.134401	+	0.0863745i
$206$	−6.55433			−0.456662
$207$	−23.3926	−	20.5584i	−1.62590	−	1.42891i
$208$	25.9531			1.79953
$209$	−1.22089	−	0.784617i	−0.0844506	−	0.0542731i
$210$	−0.668700	−	4.65091i	−0.0461447	−	0.320943i
$211$	6.25579	+	13.6983i	0.430666	+	0.943028i	0.993218	+	0.116266i	$0.0370925\pi$
$211$	6.25579	+	13.6983i	0.430666	+	0.943028i	−0.562552	+	0.826762i	$0.690180\pi$
$212$	−3.39683	−	0.997400i	−0.233295	−	0.0685017i
$213$	−0.577413	+	1.26436i	−0.0395637	+	0.0866323i
$214$	19.6693	−	22.6995i	1.34456	−	1.55171i
$215$	−0.302106	+	2.10119i	−0.0206035	+	0.143300i
$216$	−26.3740	+	7.74412i	−1.79453	+	0.526920i
$217$	4.49086	+	5.18273i	0.304859	+	0.351826i
$218$	12.3930	−	7.96448i	0.839358	−	0.539423i
$219$	−18.9329	+	12.1675i	−1.27937	+	0.822200i
$220$	−0.213600	−	0.246507i	−0.0144009	−	0.0166195i
$221$	−34.5326	+	10.1397i	−2.32292	+	0.682070i
$222$	5.74770	−	39.9761i	0.385760	−	2.68302i
$223$	−15.0174	+	17.3310i	−1.00564	+	1.16057i	−0.0186432	+	0.999826i	$0.505935\pi$
$223$	−15.0174	+	17.3310i	−1.00564	+	1.16057i	−0.986996	+	0.160744i	$0.948611\pi$
$224$	−0.757820	+	1.65939i	−0.0506340	+	0.110873i
$225$	−6.23065	−	1.82948i	−0.415376	−	0.121966i
$226$	−9.50923	−	20.8223i	−0.632545	−	1.38508i
$227$	−1.61444	−	11.2287i	−0.107154	−	0.745274i	−0.970577	−	0.240792i	$-0.922593\pi$
$227$	−1.61444	−	11.2287i	−0.107154	−	0.745274i	0.863423	−	0.504481i	$-0.168316\pi$
$228$	−1.22236	−	0.785563i	−0.0809527	−	0.0520252i
$229$	25.9340			1.71377			0.856884	−	0.515510i	$-0.172397\pi$
$229$	25.9340			1.71377			0.856884	+	0.515510i	$0.172397\pi$
$230$	−2.10956	+	7.00268i	−0.139101	+	0.461743i
$231$	−3.08703			−0.203112
$232$	−8.38343	−	5.38770i	−0.550399	−	0.353720i
$233$	−2.76865	−	19.2564i	−0.181381	−	1.26153i	−0.853503	−	0.521089i	$-0.825526\pi$
$233$	−2.76865	−	19.2564i	−0.181381	−	1.26153i	0.672122	−	0.740440i	$-0.265383\pi$
$234$	23.4899	+	51.4356i	1.53558	+	3.36245i
$235$	11.1167	+	3.26415i	0.725172	+	0.212930i
$236$	0.589788	−	1.29145i	0.0383919	−	0.0840665i
$237$	−22.3364	+	25.7776i	−1.45090	+	1.67443i
$238$	1.36791	−	9.51404i	0.0886686	−	0.616704i
$239$	−16.1025	+	4.72812i	−1.04158	+	0.305836i	−0.757412	−	0.652937i	$-0.773537\pi$
$239$	−16.1025	+	4.72812i	−1.04158	+	0.305836i	−0.284171	+	0.958774i	$0.591718\pi$
$240$	9.17091	+	10.5838i	0.591980	+	0.683181i
$241$	−2.79891	+	1.79875i	−0.180293	+	0.115868i	−0.627675	−	0.778476i	$-0.715993\pi$
$241$	−2.79891	+	1.79875i	−0.180293	+	0.115868i	0.447381	+	0.894343i	$0.352357\pi$
$242$	12.8241	−	8.24152i	0.824362	−	0.529785i
$243$	−6.46856	−	7.46512i	−0.414959	−	0.478888i
$244$	1.45355	−	0.426799i	0.0930537	−	0.0273230i
$245$	−0.142315	+	0.989821i	−0.00909216	+	0.0632374i
$246$	7.03856	−	8.12293i	0.448762	−	0.517899i
$247$	3.43599	−	7.52376i	0.218627	−	0.478726i
$248$	−16.8018	−	4.93345i	−1.06692	−	0.313275i
$249$	−7.50810	−	16.4404i	−0.475806	−	1.04187i
$250$	0.217027	+	1.50946i	0.0137260	+	0.0954664i
$251$	−7.44452	−	4.78430i	−0.469894	−	0.301982i	0.284181	−	0.958771i	$-0.408278\pi$
$251$	−7.44452	−	4.78430i	−0.469894	−	0.301982i	−0.754075	+	0.656788i	$0.771915\pi$
$252$	−2.11407			−0.133174
$253$	4.35663	+	2.02661i	0.273899	+	0.127412i
$254$	5.26867			0.330586
$255$	−16.3376	−	10.4996i	−1.02310	−	0.657507i
$256$	−1.08410	−	7.54007i	−0.0677561	−	0.471254i
$257$	2.21386	+	4.84767i	0.138097	+	0.302390i	0.966027	−	0.258442i	$-0.0832090\pi$
$257$	2.21386	+	4.84767i	0.138097	+	0.302390i	−0.827930	+	0.560831i	$0.810482\pi$
$258$	9.57044	+	2.81014i	0.595830	+	0.174951i
$259$	−3.57063	+	7.81859i	−0.221868	+	0.485823i
$260$	1.21737	−	1.40492i	0.0754979	−	0.0871292i
$261$	3.60664	−	25.0847i	0.223245	−	1.55271i
$262$	−23.7324	+	6.96847i	−1.46619	+	0.430513i
$263$	−3.48170	−	4.01810i	−0.214691	−	0.247767i	0.638181	−	0.769886i	$-0.279687\pi$
$263$	−3.48170	−	4.01810i	−0.214691	−	0.247767i	−0.852872	+	0.522119i	$0.825142\pi$
$264$	6.63134	−	4.26170i	0.408131	−	0.262290i
$265$	9.14809	−	5.87912i	0.561963	−	0.361151i
$266$	1.44657	+	1.66943i	0.0886947	+	0.102359i
$267$	−13.0921	+	3.84420i	−0.801226	+	0.235261i
$268$	−0.426263	+	2.96472i	−0.0260381	+	0.181099i
$269$	−19.8212	+	22.8749i	−1.20852	+	1.39471i	−0.312964	+	0.949765i	$0.601322\pi$
$269$	−19.8212	+	22.8749i	−1.20852	+	1.39471i	−0.895558	+	0.444944i	$0.853224\pi$
$270$	−6.81941	+	14.9324i	−0.415016	+	0.908759i
$271$	4.02892	+	1.18300i	0.244739	+	0.0718620i	0.401802	−	0.915727i	$-0.368384\pi$
$271$	4.02892	+	1.18300i	0.244739	+	0.0718620i	−0.157062	+	0.987589i	$0.550202\pi$
$272$	11.9007	+	26.0589i	0.721587	+	1.58005i
$273$	−2.50387	−	17.4148i	−0.151541	−	1.05399i
$274$	12.4880	+	8.02557i	0.754430	+	0.484843i
$275$	1.00190			0.0604167
$276$	4.36188	+	2.02905i	0.262554	+	0.122134i
$277$	−2.82404			−0.169680			−0.0848402	−	0.996395i	$-0.527038\pi$
$277$	−2.82404			−0.169680			−0.0848402	+	0.996395i	$0.527038\pi$
$278$	−15.9014	−	10.2192i	−0.953701	−	0.612907i
$279$	−6.33756	−	44.0787i	−0.379420	−	2.63892i
$280$	−1.06076	−	2.32273i	−0.0633923	−	0.138810i
$281$	13.0726	+	3.83846i	0.779847	+	0.228984i	0.647343	−	0.762199i	$-0.275880\pi$
$281$	13.0726	+	3.83846i	0.779847	+	0.228984i	0.132504	+	0.991183i	$0.457698\pi$
$282$	22.6150	−	49.5199i	1.34670	−	2.94887i
$283$	−20.0020	+	23.0835i	−1.18899	+	1.37217i	−0.277569	+	0.960706i	$0.589529\pi$
$283$	−20.0020	+	23.0835i	−1.18899	+	1.37217i	−0.911425	+	0.411466i	$0.865017\pi$
$284$	0.0209009	−	0.145369i	0.00124024	−	0.00862607i
$285$	4.28238	−	1.25742i	0.253666	−	0.0744831i
$286$	−5.71320	−	6.59338i	−0.337828	−	0.389875i
$287$	−1.92434	+	1.23670i	−0.113590	+	0.0729998i
$288$	9.96557	−	6.40448i	0.587227	−	0.377388i
$289$	−14.8832	−	17.1761i	−0.875483	−	1.01036i
$290$	−5.71040	+	1.67673i	−0.335326	+	0.0984607i
$291$	−1.17515	+	8.17332i	−0.0688882	+	0.479128i
$292$	1.55722	−	1.79713i	0.0911297	−	0.105169i
$293$	7.39663	−	16.1964i	0.432116	−	0.946202i	−0.560863	−	0.827909i	$-0.689531\pi$
$293$	7.39663	−	16.1964i	0.432116	−	0.946202i	0.992979	−	0.118293i	$-0.0377422\pi$
$294$	4.50840	+	1.32379i	0.262935	+	0.0772048i
$295$	1.81162	+	3.96689i	0.105477	+	0.230961i
$296$	−3.12354	−	21.7247i	−0.181552	−	1.26272i
$297$	9.07301	+	5.83087i	0.526469	+	0.338341i
$298$	2.87621			0.166615
$299$	−7.89901	+	26.2207i	−0.456811	+	1.51638i
$300$	1.00310			0.0579143
$301$	−1.78581	−	1.14767i	−0.102933	−	0.0661508i
$302$	3.64274	+	25.3358i	0.209616	+	1.45791i
$303$	8.42899	+	18.4569i	0.484233	+	1.06032i
$304$	−6.31704	−	1.85485i	−0.362307	−	0.106383i
$305$	−1.93304	+	4.23276i	−0.110685	+	0.242367i
$306$	−40.8741	+	47.1712i	−2.33662	+	2.69660i
$307$	1.29908	−	9.03531i	0.0741425	−	0.515673i	−0.918579	−	0.395238i	$-0.870662\pi$
$307$	1.29908	−	9.03531i	0.0741425	−	0.515673i	0.992721	−	0.120435i	$-0.0384288\pi$
$308$	0.312964	−	0.0918944i	0.0178328	−	0.00523617i
$309$	−8.67223	−	10.0083i	−0.493346	−	0.569352i
$310$	−8.79773	+	5.65396i	−0.499678	+	0.321123i
$311$	13.3589	−	8.58524i	0.757513	−	0.486824i	−0.103989	−	0.994578i	$-0.533161\pi$
$311$	13.3589	−	8.58524i	0.757513	−	0.486824i	0.861502	+	0.507754i	$0.169524\pi$
$312$	29.4201	+	33.9526i	1.66558	+	1.92219i
$313$	29.3051	−	8.60474i	1.65642	−	0.486369i	0.685961	−	0.727638i	$-0.259382\pi$
$313$	29.3051	−	8.60474i	1.65642	−	0.486369i	0.970458	+	0.241269i	$0.0775637\pi$
$314$	−3.28067	+	22.8176i	−0.185139	+	1.28767i
$315$	4.25246	−	4.90760i	0.239599	−	0.276512i
$316$	1.49712	−	3.27824i	0.0842198	−	0.184416i
$317$	16.2736	+	4.77836i	0.914016	+	0.268379i	0.704730	−	0.709475i	$-0.251068\pi$
$317$	16.2736	+	4.77836i	0.914016	+	0.268379i	0.209286	+	0.977855i	$0.432886\pi$
$318$	−21.2259	−	46.4783i	−1.19029	−	2.60637i
$319$	0.556461	+	3.87027i	0.0311558	+	0.216694i
$320$	5.30690	+	3.41053i	0.296664	+	0.190655i
$321$	60.6866			3.38720
$322$	−5.49352	−	4.82795i	−0.306142	−	0.269051i
$323$	9.12999			0.508006
$324$	3.74853	+	2.40903i	0.208251	+	0.133835i
$325$	0.812632	+	5.65198i	0.0450767	+	0.313515i
$326$	−6.36711	−	13.9420i	−0.352642	−	0.772178i
$327$	28.5591	+	8.38570i	1.57932	+	0.463730i
$328$	2.42644	−	5.31316i	0.133978	−	0.293370i
$329$	−7.58721	+	8.75611i	−0.418296	+	0.482740i
$330$	0.669969	−	4.65973i	0.0368806	−	0.256510i
$331$	30.6684	−	9.00504i	1.68569	−	0.494962i	0.708209	−	0.706003i	$-0.249504\pi$
$331$	30.6684	−	9.00504i	1.68569	−	0.494962i	0.977477	+	0.211041i	$0.0676855\pi$
$332$	1.25057	+	1.44323i	0.0686340	+	0.0792078i
$333$	46.9549	−	30.1761i	2.57311	−	1.65364i
$334$	1.86256	−	1.19699i	0.101915	−	0.0654966i
$335$	−6.02486	−	6.95306i	−0.329173	−	0.379886i
$336$	−13.4371	+	3.94549i	−0.733054	+	0.215244i
$337$	−0.277248	+	1.92830i	−0.0151027	+	0.105041i	−0.995978	−	0.0895936i	$-0.971443\pi$
$337$	−0.277248	+	1.92830i	−0.0151027	+	0.105041i	0.980876	+	0.194635i	$0.0623523\pi$
$338$	19.5787	−	22.5950i	1.06494	−	1.22901i
$339$	19.2132	−	42.0710i	1.04352	−	2.28498i
$340$	1.96886	+	0.578110i	0.106777	+	0.0313524i
$341$	2.85421	+	6.24984i	0.154564	+	0.338448i
$342$	−2.04141	−	14.1983i	−0.110387	−	0.767758i
$343$	−0.841254	−	0.540641i	−0.0454234	−	0.0291919i
$344$	5.42054			0.292256
$345$	−13.4841	+	6.04422i	−0.725962	+	0.325410i
$346$	32.0662			1.72389
$347$	7.15031	+	4.59523i	0.383849	+	0.246685i	0.718308	−	0.695726i	$-0.244917\pi$
$347$	7.15031	+	4.59523i	0.383849	+	0.246685i	−0.334459	+	0.942410i	$0.608553\pi$
$348$	0.557131	+	3.87493i	0.0298654	+	0.207718i
$349$	6.35651	+	13.9188i	0.340256	+	0.745057i	0.999979	−	0.00645197i	$-0.00205374\pi$
$349$	6.35651	+	13.9188i	0.340256	+	0.745057i	−0.659723	+	0.751509i	$0.729326\pi$
$350$	−1.46321	−	0.429636i	−0.0782116	−	0.0229650i
$351$	−25.5345	+	55.9127i	−1.36293	+	2.98440i
$352$	−1.19689	+	1.38129i	−0.0637947	+	0.0736230i
$353$	−0.404247	+	2.81160i	−0.0215159	+	0.149646i	−0.997747	−	0.0670845i	$-0.978630\pi$
$353$	−0.404247	+	2.81160i	−0.0215159	+	0.149646i	0.976231	+	0.216731i	$0.0695394\pi$
$354$	19.6611	−	5.77302i	1.04497	−	0.306832i
$355$	0.295417	+	0.340929i	0.0156791	+	0.0180947i
$356$	1.21285	−	0.779451i	0.0642809	−	0.0413108i
$357$	16.3376	−	10.4996i	0.864679	−	0.555695i
$358$	9.50566	+	10.9701i	0.502390	+	0.579789i
$359$	−30.9564	+	9.08961i	−1.63381	+	0.479731i	−0.964683	−	0.263413i	$-0.915152\pi$
$359$	−30.9564	+	9.08961i	−1.63381	+	0.479731i	−0.669132	+	0.743144i	$0.733334\pi$
$360$	−2.35980	+	16.4128i	−0.124372	+	0.865029i
$361$	11.0683	−	12.7735i	0.582543	−	0.672290i
$362$	−9.08645	+	19.8965i	−0.477573	+	1.04574i
$363$	29.5525	+	8.67740i	1.55110	+	0.455445i
$364$	0.772244	+	1.69098i	0.0404766	+	0.0886314i
$365$	1.03950	+	7.22987i	0.0544098	+	0.378429i
$366$	18.3936	+	11.8208i	0.961447	+	0.617884i
$367$	−4.79525			−0.250310			−0.125155	−	0.992137i	$-0.539943\pi$
$367$	−4.79525			−0.250310			−0.125155	+	0.992137i	$0.539943\pi$
$368$	21.5535	+	3.25318i	1.12356	+	0.169584i
$369$	14.8541			0.773271
$370$	−11.0269	−	7.08655i	−0.573261	−	0.368412i
$371$	1.54758	+	10.7637i	0.0803464	+	0.558822i
$372$	2.85765	+	6.25738i	0.148162	+	0.324430i
$373$	−21.4872	−	6.30922i	−1.11257	−	0.326679i	−0.326733	−	0.945117i	$-0.605948\pi$
$373$	−21.4872	−	6.30922i	−1.11257	−	0.326679i	−0.785834	+	0.618437i	$0.787766\pi$
$374$	4.00049	−	8.75986i	0.206861	−	0.452961i
$375$	−2.01775	+	2.32860i	−0.104196	+	0.120249i
$376$	4.21034	−	29.2835i	0.217132	−	1.51018i
$377$	−21.3819	+	6.27830i	−1.10122	+	0.323349i
$378$	−10.7501	−	12.4063i	−0.552927	−	0.638112i
$379$	18.4380	−	11.8494i	0.947099	−	0.608663i	0.0266997	−	0.999644i	$-0.491500\pi$
$379$	18.4380	−	11.8494i	0.947099	−	0.608663i	0.920399	+	0.390980i	$0.127864\pi$
$380$	−0.396718	+	0.254955i	−0.0203512	+	0.0130789i
$381$	6.97114	+	8.04512i	0.357142	+	0.412164i
$382$	−2.40738	+	0.706870i	−0.123172	+	0.0361666i
$383$	−1.42450	+	9.90761i	−0.0727885	+	0.506255i	0.920514	+	0.390710i	$0.127771\pi$
$383$	−1.42450	+	9.90761i	−0.0727885	+	0.506255i	−0.993302	+	0.115545i	$0.963139\pi$
$384$	26.7725	−	30.8972i	1.36623	−	1.57671i
$385$	−0.416203	+	0.911358i	−0.0212117	+	0.0464471i
$386$	−33.9376	−	9.96496i	−1.72738	−	0.507203i
$387$	5.72641	+	12.5391i	0.291090	+	0.637398i
$388$	−0.124166	−	0.863594i	−0.00630358	−	0.0438424i
$389$	15.5704	+	10.0065i	0.789451	+	0.507349i	0.872158	−	0.489225i	$-0.162720\pi$
$389$	15.5704	+	10.0065i	0.789451	+	0.507349i	−0.0827072	+	0.996574i	$0.526357\pi$
$390$	26.8302			1.35860
$391$	−29.9497	+	4.09220i	−1.51462	+	0.206952i
$392$	2.55349			0.128971
$393$	−42.0418	−	27.0186i	−2.12073	−	1.36291i
$394$	−1.77227	−	12.3264i	−0.0892857	−	0.620996i
$395$	4.59863	+	10.0696i	0.231382	+	0.506657i
$396$	−2.03229	−	0.596733i	−0.102126	−	0.0299870i
$397$	9.60226	−	21.0260i	0.481924	−	1.05527i	−0.500007	−	0.866022i	$-0.666669\pi$
$397$	9.60226	−	21.0260i	0.481924	−	1.05527i	0.981930	−	0.189244i	$-0.0606036\pi$
$398$	−2.90740	+	3.35531i	−0.145735	+	0.168187i
$399$	−0.635175	+	4.41774i	−0.0317985	+	0.221164i
$400$	4.36102	−	1.28051i	0.218051	−	0.0640255i
$401$	−6.62893	−	7.65019i	−0.331033	−	0.382032i	0.565695	−	0.824614i	$-0.308608\pi$
$401$	−6.62893	−	7.65019i	−0.331033	−	0.382032i	−0.896728	+	0.442582i	$0.854062\pi$
$402$	−36.3669	+	23.3716i	−1.81382	+	1.16567i
$403$	−32.9421	+	21.1706i	−1.64096	+	1.05458i
$404$	−1.40396	−	1.62025i	−0.0698495	−	0.0806106i
$405$	−13.1325	+	3.85604i	−0.652558	+	0.191608i
$406$	0.846984	−	5.89090i	0.0420351	−	0.292360i
$407$	−5.63942	+	6.50824i	−0.279536	+	0.322602i
$408$	−20.6005	+	45.1088i	−1.01988	+	2.23322i
$409$	0.174606	+	0.0512689i	0.00863371	+	0.00253509i	0.286047	−	0.958216i	$-0.407659\pi$
$409$	0.174606	+	0.0512689i	0.00863371	+	0.00253509i	−0.277413	+	0.960751i	$0.589477\pi$
$410$	−1.44910	−	3.17310i	−0.0715662	−	0.156708i
$411$	4.26846	+	29.6878i	0.210548	+	1.46439i
$412$	1.17712	+	0.756488i	0.0579925	+	0.0372695i
$413$	−4.36099			−0.214590
$414$	13.0605	+	45.6607i	0.641888	+	2.24410i
$415$	−5.86584			−0.287943
$416$	−8.76303	−	5.63166i	−0.429643	−	0.276115i
$417$	−5.43515	−	37.8023i	−0.266161	−	1.85119i
$418$	0.919380	+	2.01316i	0.0449683	+	0.0984669i
$419$	14.1961	+	4.16835i	0.693525	+	0.203637i	0.609453	−	0.792822i	$-0.291389\pi$
$419$	14.1961	+	4.16835i	0.693525	+	0.203637i	0.0840722	+	0.996460i	$0.473207\pi$
$420$	−0.416705	+	0.912456i	−0.0203331	+	0.0445233i
$421$	−18.1197	+	20.9112i	−0.883098	+	1.01915i	0.116565	+	0.993183i	$0.462812\pi$
$421$	−18.1197	+	20.9112i	−0.883098	+	1.01915i	−0.999663	+	0.0259666i	$0.991734\pi$
$422$	3.26824	−	22.7311i	0.159095	−	1.10653i
$423$	72.1882	−	21.1964i	3.50991	−	1.03060i
$424$	−18.1839	−	20.9853i	−0.883086	−	1.01914i
$425$	−5.30239	+	3.40764i	−0.257204	+	0.165295i
$426$	1.78318	−	1.14598i	0.0863952	−	0.0555228i
$427$	−3.04724	−	3.51670i	−0.147466	−	0.170185i
$428$	−6.15242	+	1.80651i	−0.297389	+	0.0873212i
$429$	2.50862	−	17.4478i	0.121117	−	0.842388i
$430$	2.11993	−	2.44653i	0.102232	−	0.117982i
$431$	15.4153	−	33.7548i	0.742529	−	1.62591i	−0.0368198	−	0.999322i	$-0.511723\pi$
$431$	15.4153	−	33.7548i	0.742529	−	1.62591i	0.779349	−	0.626590i	$-0.215550\pi$
$432$	46.9450	+	13.7843i	2.25864	+	0.663197i
$433$	−13.9431	−	30.5311i	−0.670061	−	1.46723i	−0.872841	−	0.488005i	$-0.837725\pi$
$433$	−13.9431	−	30.5311i	−0.670061	−	1.46723i	0.202780	−	0.979224i	$-0.435002\pi$
$434$	−1.48831	−	10.3514i	−0.0714413	−	0.496885i
$435$	−10.1159	−	6.50111i	−0.485021	−	0.311704i
$436$	−3.14495			−0.150616
$437$	3.79661	−	5.81764i	0.181616	−	0.278295i
$438$	34.3206			1.63990
$439$	0.462775	+	0.297407i	0.0220870	+	0.0141945i	0.551638	−	0.834084i	$-0.314003\pi$
$439$	0.462775	+	0.297407i	0.0220870	+	0.0141945i	−0.529551	+	0.848278i	$0.677639\pi$
$440$	−0.364089	−	2.53229i	−0.0173572	−	0.120722i
$441$	2.69757	+	5.90686i	0.128456	+	0.281279i
$442$	52.6615	+	15.4628i	2.50485	+	0.735491i
$443$	−13.8565	+	30.3416i	−0.658344	+	1.44157i	0.225714	+	0.974194i	$0.427528\pi$
$443$	−13.8565	+	30.3416i	−0.658344	+	1.44157i	−0.884058	+	0.467378i	$0.845199\pi$
$444$	−5.64622	+	6.51609i	−0.267958	+	0.309240i
$445$	−0.630234	+	4.38337i	−0.0298759	+	0.207792i
$446$	33.5545	−	9.85250i	1.58885	−	0.466529i
$447$	3.80561	+	4.39191i	0.179999	+	0.207730i
$448$	−5.30690	+	3.41053i	−0.250727	+	0.161133i
$449$	5.74651	−	3.69306i	0.271195	−	0.174286i	−0.397974	−	0.917397i	$-0.630287\pi$
$449$	5.74651	−	3.69306i	0.271195	−	0.174286i	0.669169	+	0.743110i	$0.266650\pi$
$450$	6.48491	+	7.48398i	0.305701	+	0.352798i
$451$	−2.19897	+	0.645675i	−0.103545	+	0.0304037i
$452$	−0.695470	+	4.83710i	−0.0327122	+	0.227518i
$453$	−33.8674	+	39.0850i	−1.59123	+	1.83637i
$454$	−7.18650	+	15.7362i	−0.337279	+	0.738539i
$455$	−5.47880	−	1.60872i	−0.256850	−	0.0754180i
$456$	−4.73434	−	10.3668i	−0.221706	−	0.485468i
$457$	−3.70099	−	25.7409i	−0.173125	−	1.20411i	−0.872232	−	0.489093i	$-0.837328\pi$
$457$	−3.70099	−	25.7409i	−0.173125	−	1.20411i	0.699107	−	0.715017i	$-0.253581\pi$
$458$	−33.2706	−	21.3817i	−1.55463	−	0.999101i
$459$	−67.8494			−3.16694
$460$	1.18710	−	1.01416i	0.0553489	−	0.0472854i
$461$	32.7409			1.52490			0.762448	−	0.647049i	$-0.223997\pi$
$461$	32.7409			1.52490			0.762448	+	0.647049i	$0.223997\pi$
$462$	3.96033	+	2.54515i	0.184251	+	0.118411i
$463$	5.03234	+	35.0007i	0.233873	+	1.62662i	0.681093	+	0.732197i	$0.261505\pi$
$463$	5.03234	+	35.0007i	0.233873	+	1.62662i	−0.447221	+	0.894424i	$0.647586\pi$
$464$	7.36868	+	16.1352i	0.342082	+	0.749056i
$465$	−20.2740	−	5.95298i	−0.940184	−	0.276063i
$466$	−12.3244	+	26.9866i	−0.570915	+	1.25013i
$467$	7.28458	−	8.40685i	0.337090	−	0.389023i	−0.561744	−	0.827311i	$-0.689870\pi$
$467$	7.28458	−	8.40685i	0.337090	−	0.389023i	0.898835	+	0.438288i	$0.144415\pi$
$468$	1.71796	−	11.9487i	0.0794129	−	0.552329i
$469$	8.82755	−	2.59200i	0.407618	−	0.119688i
$470$	−11.5703	−	13.3529i	−0.533700	−	0.615922i
$471$	−39.1826	+	25.1811i	−1.80544	+	1.16028i
$472$	9.36796	−	6.02042i	0.431195	−	0.277112i
$473$	−1.39278	−	1.60735i	−0.0640399	−	0.0739060i
$474$	49.9079	−	14.6543i	2.29235	−	0.673094i
$475$	0.206147	−	1.43378i	0.00945865	−	0.0657864i
$476$	−1.34376	+	1.55078i	−0.0615912	+	0.0710801i
$477$	29.3344	−	64.2333i	1.34313	−	2.94104i
$478$	24.5559	+	7.21027i	1.12316	+	0.329790i
$479$	−8.38289	−	18.3560i	−0.383024	−	0.838706i	−0.998713	−	0.0507166i	$-0.983849\pi$
$479$	−8.38289	−	18.3560i	−0.383024	−	0.838706i	0.615689	−	0.787989i	$-0.288878\pi$
$480$	−0.799929	−	5.56363i	−0.0365116	−	0.253944i
$481$	−41.2889	−	26.5348i	−1.88261	−	1.20988i
$482$	5.07371			0.231101
$483$	0.103504	−	14.7765i	0.00470958	−	0.672353i
$484$	−3.25435			−0.147925
$485$	2.25450	+	1.44888i	0.102372	+	0.0657903i
$486$	2.14374	+	14.9101i	0.0972422	+	0.676334i
$487$	17.9786	+	39.3676i	0.814687	+	1.78392i	0.585785	+	0.810466i	$0.300786\pi$
$487$	17.9786	+	39.3676i	0.814687	+	1.78392i	0.228902	+	0.973450i	$0.426487\pi$
$488$	11.4007	+	3.34756i	0.516088	+	0.151537i
$489$	12.8646	−	28.1695i	0.581757	−	1.27387i
$490$	0.998648	−	1.15250i	0.0451143	−	0.0520647i
$491$	3.96637	−	27.5867i	0.179000	−	1.24497i	−0.680084	−	0.733134i	$-0.738057\pi$
$491$	3.96637	−	27.5867i	0.179000	−	1.24497i	0.859084	−	0.511835i	$-0.171034\pi$
$492$	−2.20162	+	0.646453i	−0.0992566	+	0.0291444i
$493$	−16.1085	−	18.5902i	−0.725490	−	0.837260i
$494$	−10.6111	+	6.81933i	−0.477415	+	0.306816i
$495$	5.47320	−	3.51741i	0.246002	−	0.158096i
$496$	20.4115	+	23.5562i	0.916504	+	1.05770i
$497$	−0.432841	+	0.127094i	−0.0194156	+	0.00570093i
$498$	−3.92249	+	27.2815i	−0.175771	+	1.22251i
$499$	−25.7180	+	29.6801i	−1.15129	+	1.32866i	−0.215341	+	0.976539i	$0.569086\pi$
$499$	−25.7180	+	29.6801i	−1.15129	+	1.32866i	−0.935953	+	0.352125i	$0.885459\pi$
$500$	0.135242	−	0.296138i	0.00604820	−	0.0132437i
$501$	4.29219	+	1.26030i	0.191761	+	0.0563061i
$502$	5.60603	+	12.2755i	0.250209	+	0.547882i
$503$	−4.65690	−	32.3895i	−0.207641	−	1.44418i	−0.780826	−	0.624749i	$-0.785201\pi$
$503$	−4.65690	−	32.3895i	−0.207641	−	1.44418i	0.573185	−	0.819426i	$-0.305708\pi$
$504$	−13.9493	−	8.96466i	−0.621350	−	0.399318i
$505$	6.58531			0.293042
$506$	−3.91822	−	6.19181i	−0.174186	−	0.275260i
$507$	60.4072			2.68278
$508$	−0.946222	−	0.608100i	−0.0419818	−	0.0269801i
$509$	−2.22393	−	15.4678i	−0.0985739	−	0.685597i	−0.977853	−	0.209291i	$-0.932885\pi$
$509$	−2.22393	−	15.4678i	−0.0985739	−	0.685597i	0.879280	−	0.476306i	$-0.158025\pi$
$510$	12.3029	+	26.9396i	0.544782	+	1.19291i
$511$	−7.00834	−	2.05784i	−0.310031	−	0.0910333i
$512$	6.19816	−	13.5721i	0.273923	−	0.599807i
$513$	10.2112	−	11.7843i	0.450835	−	0.520291i
$514$	1.15660	−	8.04430i	0.0510152	−	0.354819i
$515$	−4.12388	+	1.21088i	−0.181720	+	0.0533578i
$516$	−1.39445	−	1.60929i	−0.0613874	−	0.0708449i
$517$	−9.76525	+	6.27574i	−0.429475	+	0.276007i
$518$	11.0269	−	7.08655i	0.484494	−	0.311365i
$519$	42.4278	+	48.9642i	1.86237	+	2.14929i
$520$	13.9900	−	4.10785i	0.613504	−	0.180141i
$521$	0.594158	−	4.13246i	0.0260306	−	0.181046i	−0.972658	−	0.232242i	$-0.925394\pi$
$521$	0.594158	−	4.13246i	0.0260306	−	0.181046i	0.998689	+	0.0511952i	$0.0163031\pi$
$522$	−25.3084	+	29.2075i	−1.10772	+	1.27838i
$523$	2.14817	−	4.70383i	0.0939329	−	0.205684i	−0.856833	−	0.515594i	$-0.827571\pi$
$523$	2.14817	−	4.70383i	0.0939329	−	0.205684i	0.950766	+	0.309909i	$0.100299\pi$
$524$	5.06649	+	1.48766i	0.221331	+	0.0649885i
$525$	−1.27997	−	2.80274i	−0.0558624	−	0.122322i
$526$	1.15387	+	8.02534i	0.0503111	+	0.349921i
$527$	−36.3623	−	23.3687i	−1.58397	−	1.01795i
$528$	−14.0309			−0.610618
$529$	−9.84669	+	20.7856i	−0.428117	+	0.903723i
$530$	−16.5832			−0.720326
$531$	23.8233	+	15.3103i	1.03385	+	0.664412i
$532$	−0.0671127	−	0.466779i	−0.00290971	−	0.0202374i
$533$	−5.42600	−	11.8813i	−0.235026	−	0.514635i
$534$	19.9652	+	5.86232i	0.863980	+	0.253687i
$535$	8.18197	−	17.9160i	0.353737	−	0.774577i
$536$	−15.3844	+	17.7546i	−0.664505	+	0.766880i
$537$	−4.17386	+	29.0298i	−0.180115	+	1.25273i
$538$	44.2881	−	13.0042i	1.90940	−	0.560649i
$539$	−0.656103	−	0.757183i	−0.0282604	−	0.0326142i
$540$	2.94820	−	1.89469i	0.126870	−	0.0815346i
$541$	−25.5421	+	16.4149i	−1.09814	+	0.705733i	−0.958678	−	0.284494i	$-0.908174\pi$
$541$	−25.5421	+	16.4149i	−1.09814	+	0.705733i	−0.139464	+	0.990227i	$0.544538\pi$
$542$	−4.19333	−	4.83936i	−0.180119	−	0.207868i
$543$	−42.4041	+	12.4510i	−1.81973	+	0.534322i
$544$	1.63636	−	11.3811i	0.0701583	−	0.487962i
$545$	6.32607	−	7.30067i	0.270979	−	0.312726i
$546$	−11.1457	+	24.4056i	−0.476991	+	1.04447i
$547$	−19.2061	−	5.63942i	−0.821194	−	0.241124i	−0.155964	−	0.987763i	$-0.549848\pi$
$547$	−19.2061	−	5.63942i	−0.821194	−	0.241124i	−0.665230	+	0.746638i	$0.731667\pi$
$548$	−1.31648	−	2.88269i	−0.0562373	−	0.123142i
$549$	4.30031	+	29.9093i	0.183533	+	1.27650i
$550$	−1.28533	−	0.826030i	−0.0548065	−	0.0352220i
$551$	5.65311			0.240830
$552$	20.1769	+	31.8847i	0.858784	+	1.35710i
$553$	−11.0700			−0.470743
$554$	3.62295	+	2.32833i	0.153924	+	0.0989211i
$555$	−3.76904	−	26.2142i	−0.159987	−	1.11273i
$556$	1.67631	+	3.67061i	0.0710915	+	0.155669i
$557$	−6.11142	−	1.79447i	−0.258949	−	0.0760343i	0.149681	−	0.988734i	$-0.452175\pi$
$557$	−6.11142	−	1.79447i	−0.258949	−	0.0760343i	−0.408630	+	0.912700i	$0.633993\pi$
$558$	−28.2109	+	61.7733i	−1.19426	+	2.61507i
$559$	7.93783	−	9.16074i	0.335734	−	0.387458i
$560$	−0.646839	+	4.49887i	−0.0273339	+	0.190112i
$561$	18.6693	−	5.48179i	0.788216	−	0.231441i
$562$	−13.6061	−	15.7023i	−0.573938	−	0.662360i
$563$	−21.5792	+	13.8681i	−0.909456	+	0.584472i	−0.909580	−	0.415528i	$-0.863597\pi$
$563$	−21.5792	+	13.8681i	−0.909456	+	0.584472i	0.000124605		1.00000i	$0.499960\pi$
$564$	−9.77702	+	6.28331i	−0.411687	+	0.264575i
$565$	−9.82989	−	11.3443i	−0.413546	−	0.477258i
$566$	44.6919	−	13.1227i	1.87854	−	0.551590i
$567$	1.94785	−	13.5476i	0.0818019	−	0.568945i
$568$	0.754344	−	0.870559i	0.0316516	−	0.0365278i
$569$	−7.59939	+	16.6403i	−0.318583	+	0.697599i	−0.999392	−	0.0348615i	$-0.988901\pi$
$569$	−7.59939	+	16.6403i	−0.318583	+	0.697599i	0.680809	+	0.732461i	$0.261628\pi$
$570$	−6.53053	−	1.91754i	−0.273534	−	0.0803168i
$571$	0.0875084	+	0.191617i	0.00366211	+	0.00801891i	0.911454	−	0.411402i	$-0.134961\pi$
$571$	0.0875084	+	0.191617i	0.00366211	+	0.00801891i	−0.907792	+	0.419420i	$0.862233\pi$
$572$	0.265061	+	1.84354i	0.0110828	+	0.0770822i
$573$	−4.26465	−	2.74072i	−0.178158	−	0.114495i
$574$	3.48833			0.145600
$575$	−0.0335922	+	4.79571i	−0.00140089	+	0.199995i
$576$	40.9642			1.70684
$577$	9.43953	+	6.06642i	0.392973	+	0.252548i	0.722174	−	0.691712i	$-0.243143\pi$
$577$	9.43953	+	6.06642i	0.392973	+	0.252548i	−0.329201	+	0.944260i	$0.606779\pi$
$578$	4.93244	+	34.3059i	0.205162	+	1.42694i
$579$	−29.6876	−	65.0067i	−1.23377	−	2.70159i
$580$	1.21908	+	0.357954i	0.0506195	+	0.0148632i
$581$	2.43676	−	5.33576i	0.101094	−	0.221365i
$582$	8.24620	−	9.51663i	0.341816	−	0.394477i
$583$	−1.55052	+	10.7841i	−0.0642159	+	0.446631i
$584$	17.8957	−	5.25465i	0.740530	−	0.217439i
$585$	24.2820	+	28.0229i	1.00394	+	1.15860i
$586$	−22.8424	+	14.6799i	−0.943612	+	0.606423i
$587$	2.39478	−	1.53903i	0.0988432	−	0.0635227i	−0.490285	−	0.871562i	$-0.663107\pi$
$587$	2.39478	−	1.53903i	0.0988432	−	0.0635227i	0.589129	+	0.808039i	$0.299471\pi$
$588$	−0.656894	−	0.758096i	−0.0270898	−	0.0312633i
$589$	9.53121	−	2.79862i	0.392727	−	0.115315i
$590$	0.946452	−	6.58272i	0.0389648	−	0.271006i
$591$	16.4772	−	19.0157i	0.677780	−	0.782200i
$592$	−16.2290	+	35.5365i	−0.667007	+	1.46054i
$593$	20.5814	+	6.04323i	0.845175	+	0.248166i	0.675524	−	0.737338i	$-0.263918\pi$
$593$	20.5814	+	6.04323i	0.845175	+	0.248166i	0.169651	+	0.985504i	$0.445736\pi$
$594$	−6.83235	−	14.9608i	−0.280335	−	0.613848i
$595$	−0.897005	−	6.23880i	−0.0367736	−	0.255766i
$596$	−0.516551	−	0.331967i	−0.0211588	−	0.0135979i
$597$	−8.97034			−0.367132
$598$	31.7517	−	27.1259i	1.29842	−	1.10926i
$599$	−27.7731			−1.13478			−0.567389	−	0.823450i	$-0.692046\pi$
$599$	−27.7731			−1.13478			−0.567389	+	0.823450i	$0.692046\pi$
$600$	6.61878	+	4.25363i	0.270211	+	0.173654i
$601$	−1.41579	−	9.84705i	−0.0577513	−	0.401669i	−0.998108	−	0.0614801i	$-0.980418\pi$
$601$	−1.41579	−	9.84705i	−0.0577513	−	0.401669i	0.940357	−	0.340189i	$-0.110491\pi$
$602$	1.34479	+	2.94468i	0.0548096	+	0.120016i
$603$	−57.3233	−	16.8316i	−2.33439	−	0.685437i
$604$	2.27000	−	4.97061i	0.0923650	−	0.202251i
$605$	6.54612	−	7.55463i	0.266138	−	0.307139i
$606$	4.40359	−	30.6277i	0.178884	−	1.24416i
$607$	22.2733	−	6.54003i	0.904045	−	0.265452i	0.203513	−	0.979072i	$-0.434764\pi$
$607$	22.2733	−	6.54003i	0.904045	−	0.265452i	0.700532	+	0.713621i	$0.252946\pi$
$608$	1.73045	+	1.99704i	0.0701789	+	0.0809908i
$609$	10.1159	−	6.50111i	0.409918	−	0.263438i
$610$	5.96964	−	3.83646i	0.241704	−	0.155334i
$611$	−43.3237	−	49.9982i	−1.75269	−	2.02271i
$612$	12.7852	−	3.75406i	0.516810	−	0.151749i
$613$	0.705445	−	4.90648i	0.0284927	−	0.198171i	−0.970603	−	0.240685i	$-0.922628\pi$
$613$	0.705445	−	4.90648i	0.0284927	−	0.198171i	0.999096	+	0.0425146i	$0.0135369\pi$
$614$	−9.11589	+	10.5203i	−0.367887	+	0.424564i
$615$	2.92788	−	6.41116i	0.118064	−	0.258523i
$616$	2.45470	+	0.720765i	0.0989027	+	0.0290405i
$617$	−2.70739	−	5.92836i	−0.108995	−	0.238667i	0.847273	−	0.531158i	$-0.178243\pi$
$617$	−2.70739	−	5.92836i	−0.108995	−	0.238667i	−0.956268	+	0.292491i	$0.905516\pi$
$618$	2.87406	+	19.9895i	0.115612	+	0.804097i
$619$	11.8043	+	7.58619i	0.474456	+	0.304915i	0.755928	−	0.654655i	$-0.227186\pi$
$619$	11.8043	+	7.58619i	0.474456	+	0.304915i	−0.281471	+	0.959570i	$0.590822\pi$
$620$	2.23259			0.0896630
$621$	−28.2144	+	43.2337i	−1.13221	+	1.73491i
$622$	−24.2163			−0.970984
$623$	−3.72545	−	2.39420i	−0.149257	−	0.0959216i
$624$	−11.3804	−	79.1524i	−0.455580	−	3.16863i
$625$	0.415415	+	0.909632i	0.0166166	+	0.0363853i
$626$	−44.6896	−	13.1220i	−1.78615	−	0.524462i
$627$	−1.85758	+	4.06754i	−0.0741848	+	0.162442i
$628$	3.22275	−	3.71925i	0.128602	−	0.148414i
$629$	7.71005	−	53.6246i	0.307420	−	2.13815i
$630$	−9.50160	+	2.78992i	−0.378553	+	0.111153i
$631$	10.2788	+	11.8624i	0.409193	+	0.472233i	0.922514	−	0.385963i	$-0.126131\pi$
$631$	10.2788	+	11.8624i	0.409193	+	0.472233i	−0.513322	+	0.858196i	$0.671585\pi$
$632$	23.7797	−	15.2823i	0.945907	−	0.607898i
$633$	39.0341	−	25.0857i	1.55147	−	0.997067i
$634$	−16.9377	−	19.5471i	−0.672682	−	0.776316i
$635$	3.31497	−	0.973362i	0.131550	−	0.0386267i
$636$	−1.55239	+	10.7971i	−0.0615561	+	0.428132i
$637$	3.73932	−	4.31540i	0.148157	−	0.170983i
$638$	2.47702	−	5.42393i	0.0980663	−	0.214735i
$639$	2.81073	+	0.825306i	0.111191	+	0.0326486i
$640$	−5.51195	−	12.0695i	−0.217879	−	0.477089i
$641$	−3.35736	−	23.3509i	−0.132608	−	0.922306i	−0.942137	−	0.335227i	$-0.891187\pi$
$641$	−3.35736	−	23.3509i	−0.132608	−	0.922306i	0.809530	−	0.587079i	$-0.199722\pi$
$642$	−77.8544	−	50.0340i	−3.07267	−	1.97469i
$643$	−8.84619			−0.348860			−0.174430	−	0.984670i	$-0.555808\pi$
$643$	−8.84619			−0.348860			−0.174430	+	0.984670i	$0.555808\pi$
$644$	0.429371	+	1.50112i	0.0169196	+	0.0591525i
$645$	6.54074			0.257541
$646$	−11.7128	−	7.52736i	−0.460834	−	0.296160i
$647$	−2.87150	−	19.9717i	−0.112890	−	0.785169i	−0.965084	−	0.261942i	$-0.915637\pi$
$647$	−2.87150	−	19.9717i	−0.112890	−	0.785169i	0.852193	−	0.523227i	$-0.175272\pi$
$648$	14.5185	+	31.7910i	0.570339	+	1.24887i
$649$	−4.19227	−	1.23096i	−0.164561	−	0.0483195i
$650$	3.61734	−	7.92087i	0.141884	−	0.310682i
$651$	13.8372	−	15.9689i	0.542321	−	0.625871i
$652$	−0.465667	+	3.23879i	−0.0182369	+	0.126841i
$653$	4.78647	−	1.40544i	0.187309	−	0.0549990i	−0.186733	−	0.982411i	$-0.559790\pi$
$653$	4.78647	−	1.40544i	0.187309	−	0.0549990i	0.374042	+	0.927412i	$0.377972\pi$
$654$	−29.7245	−	34.3039i	−1.16232	−	1.34139i
$655$	−13.6447	+	8.76890i	−0.533142	+	0.342629i
$656$	−8.74635	+	5.62094i	−0.341488	+	0.219461i
$657$	31.0609	+	35.8462i	1.21180	+	1.39849i
$658$	16.9527	−	4.97776i	0.660885	−	0.194053i
$659$	−2.12786	+	14.7996i	−0.0828897	+	0.576510i	0.905474	+	0.424402i	$0.139515\pi$
$659$	−2.12786	+	14.7996i	−0.0828897	+	0.576510i	−0.988364	+	0.152109i	$0.951394\pi$
$660$	−0.658140	+	0.759534i	−0.0256181	+	0.0295648i
$661$	−10.4587	+	22.9014i	−0.406797	+	0.890762i	0.589738	+	0.807595i	$0.299231\pi$
$661$	−10.4587	+	22.9014i	−0.406797	+	0.890762i	−0.996536	+	0.0831676i	$0.973496\pi$
$662$	−46.7686	−	13.7325i	−1.81771	−	0.533729i
$663$	46.0668	+	100.872i	1.78908	+	3.91755i
$664$	2.13164	+	14.8259i	0.0827237	+	0.575356i
$665$	1.21858	+	0.783132i	0.0472544	+	0.0303685i
$666$	−85.1172			−3.29823
$667$	−18.5442	+	2.53381i	−0.718035	+	0.0981095i
$668$	−0.472660			−0.0182877
$669$	59.4415	+	38.2008i	2.29814	+	1.47693i
$670$	1.99670	+	13.8873i	0.0771391	+	0.536514i
$671$	−1.93670	−	4.24079i	−0.0747656	−	0.163714i
$672$	5.39316	+	1.58357i	0.208046	+	0.0610877i
$673$	−15.2690	+	33.4345i	−0.588578	+	1.28881i	0.347720	+	0.937599i	$0.386956\pi$
$673$	−15.2690	+	33.4345i	−0.588578	+	1.28881i	−0.936298	+	0.351207i	$0.885771\pi$
$674$	1.94550	−	2.24523i	0.0749379	−	0.0864829i
$675$	−1.53197	+	10.6551i	−0.0589657	+	0.410115i
$676$	−6.12410	+	1.79820i	−0.235542	+	0.0691615i
$677$	−19.2237	−	22.1853i	−0.738826	−	0.852650i	0.254610	−	0.967044i	$-0.418053\pi$
$677$	−19.2237	−	22.1853i	−0.738826	−	0.852650i	−0.993436	+	0.114394i	$0.963508\pi$
$678$	−59.3345	+	38.1320i	−2.27873	+	1.46445i
$679$	−2.25450	+	1.44888i	−0.0865199	+	0.0556030i
$680$	10.5397	+	12.1634i	0.404178	+	0.466446i
$681$	−33.5375	+	9.84751i	−1.28516	+	0.377357i
$682$	1.49114	−	10.3711i	0.0570986	−	0.397129i
$683$	3.54654	−	4.09292i	0.135705	−	0.156611i	−0.683830	−	0.729642i	$-0.739687\pi$
$683$	3.54654	−	4.09292i	0.135705	−	0.156611i	0.819534	+	0.573030i	$0.194232\pi$
$684$	−1.27212	+	2.78555i	−0.0486407	+	0.106508i
$685$	9.33997	+	2.74246i	0.356862	+	0.104784i
$686$	0.633499	+	1.38717i	0.0241871	+	0.0529624i
$687$	−11.3720	−	79.0941i	−0.433869	−	3.01763i
$688$	−8.11675	−	5.21632i	−0.309448	−	0.198870i
$689$	−62.0936			−2.36558
$690$	22.2820	+	3.36313i	0.848260	+	0.128032i
$691$	−49.0119			−1.86450			−0.932250	−	0.361814i	$-0.882158\pi$
$691$	−49.0119			−1.86450			−0.932250	+	0.361814i	$0.882158\pi$
$692$	−5.75890	−	3.70102i	−0.218920	−	0.140692i
$693$	0.925901	+	6.43978i	0.0351721	+	0.244627i
$694$	−5.38448	−	11.7904i	−0.204392	−	0.447556i
$695$	−11.8929	−	3.49206i	−0.451122	−	0.132461i
$696$	−12.7554	+	27.9305i	−0.483493	+	1.05870i
$697$	9.44164	−	10.8962i	0.357627	−	0.412724i
$698$	3.32086	−	23.0971i	0.125696	−	0.874237i
$699$	−57.5145	+	16.8878i	−2.17540	+	0.638755i
$700$	0.213195	+	0.246041i	0.00805803	+	0.00929946i
$701$	−23.3195	+	14.9865i	−0.880766	+	0.566034i	−0.901028	−	0.433761i	$-0.857186\pi$
$701$	−23.3195	+	14.9865i	−0.880766	+	0.566034i	0.0202620	+	0.999795i	$0.493550\pi$
$702$	78.8561	−	50.6777i	2.97623	−	1.91271i
$703$	8.15338	+	9.40950i	0.307510	+	0.354886i
$704$	−6.06427	+	1.78063i	−0.228556	+	0.0671100i
$705$	5.08043	−	35.3352i	0.191340	−	1.33080i
$706$	2.83667	−	3.27369i	0.106760	−	0.123207i
$707$	−2.73564	+	5.99021i	−0.102884	+	0.225285i
$708$	−4.19733	−	1.23245i	−0.157745	−	0.0463182i
$709$	−7.52190	−	16.4707i	−0.282491	−	0.618569i	0.714192	−	0.699950i	$-0.246794\pi$
$709$	−7.52190	−	16.4707i	−0.282491	−	0.618569i	−0.996683	+	0.0813808i	$0.974067\pi$
$710$	−0.0979040	−	0.680937i	−0.00367427	−	0.0255551i
$711$	60.4735	+	38.8639i	2.26793	+	1.45751i
$712$	11.3080			0.423784
$713$	−30.0114	+	13.4525i	−1.12394	+	0.503800i
$714$	−29.6159			−1.10835
$715$	−4.81275	−	3.09297i	−0.179987	−	0.115670i
$716$	−0.441010	−	3.06729i	−0.0164813	−	0.114630i
$717$	21.4808	+	47.0364i	0.802216	+	1.75661i
$718$	47.2078	+	13.8615i	1.76178	+	0.517305i
$719$	−3.68340	+	8.06551i	−0.137367	+	0.300793i	−0.965796	−	0.259301i	$-0.916508\pi$
$719$	−3.68340	+	8.06551i	−0.137367	+	0.300793i	0.828429	+	0.560094i	$0.189235\pi$
$720$	19.3280	−	22.3057i	0.720311	−	0.831283i
$721$	0.611667	−	4.25424i	0.0227797	−	0.158436i
$722$	−24.7308	+	7.26161i	−0.920384	+	0.270249i
$723$	6.71318	+	7.74742i	0.249666	+	0.288130i
$724$	3.92829	−	2.52456i	0.145994	−	0.0938246i
$725$	−3.28313	+	2.10994i	−0.121932	+	0.0783612i
$726$	−30.7585	−	35.4972i	−1.14155	−	1.31742i
$727$	−26.9248	+	7.90582i	−0.998584	+	0.293211i	−0.739875	−	0.672745i	$-0.765115\pi$
$727$	−26.9248	+	7.90582i	−0.998584	+	0.293211i	−0.258709	+	0.965955i	$0.583297\pi$
$728$	−2.07504	+	14.4322i	−0.0769063	+	0.534895i
$729$	6.95820	−	8.03019i	0.257711	−	0.297415i
$730$	4.62721	−	10.1322i	0.171261	−	0.375009i
$731$	12.8379	+	3.76956i	0.474829	+	0.139422i
$732$	−1.93904	−	4.24590i	−0.0716689	−	0.156933i
$733$	0.519302	+	3.61182i	0.0191809	+	0.133406i	0.997162	−	0.0752884i	$-0.0239878\pi$
$733$	0.519302	+	3.61182i	0.0191809	+	0.133406i	−0.977981	+	0.208694i	$0.933079\pi$
$734$	6.15180	+	3.95352i	0.227067	+	0.145927i
$735$	3.08118			0.113651
$736$	−6.57160	−	5.77541i	−0.242232	−	0.212884i
$737$	9.21767			0.339537
$738$	−19.0562	−	12.2467i	−0.701467	−	0.450806i
$739$	0.137316	+	0.955056i	0.00505126	+	0.0351323i	0.992191	−	0.124726i	$-0.0398053\pi$
$739$	0.137316	+	0.955056i	0.00505126	+	0.0351323i	−0.987140	+	0.159859i	$0.948896\pi$
$740$	1.16245	+	2.54541i	0.0427325	+	0.0935710i
$741$	−24.4528	−	7.17999i	−0.898296	−	0.263764i
$742$	6.88889	−	15.0846i	0.252899	−	0.553772i
$743$	19.9785	−	23.0564i	0.732941	−	0.845859i	−0.259859	−	0.965647i	$-0.583676\pi$
$743$	19.9785	−	23.0564i	0.732941	−	0.845859i	0.992800	+	0.119788i	$0.0382215\pi$
$744$	−7.67859	+	53.4058i	−0.281511	+	1.95795i
$745$	1.80967	−	0.531367i	0.0663012	−	0.0194678i
$746$	22.3641	+	25.8096i	0.818808	+	0.944955i
$747$	−32.0441	+	20.5935i	−1.17243	+	0.753477i
$748$	−1.72951	+	1.11149i	−0.0632372	+	0.0406401i
$749$	12.8981	+	14.8852i	0.471285	+	0.543892i
$750$	4.50840	−	1.32379i	0.164624	−	0.0483379i
$751$	−5.07335	+	35.2859i	−0.185129	+	1.28760i	0.659278	+	0.751899i	$0.270862\pi$
$751$	−5.07335	+	35.2859i	−0.185129	+	1.28760i	−0.844407	+	0.535702i	$0.820047\pi$
$752$	−34.4848	+	39.7976i	−1.25753	+	1.45127i
$753$	−11.3269	+	24.8024i	−0.412774	+	0.903848i
$754$	32.6069	+	9.57426i	1.18748	+	0.348674i
$755$	6.97264	+	15.2679i	0.253760	+	0.555657i
$756$	0.498747	+	3.46886i	0.0181392	+	0.126161i
$757$	20.8230	+	13.3821i	0.756825	+	0.486382i	0.861269	−	0.508149i	$-0.169670\pi$
$757$	20.8230	+	13.3821i	0.756825	+	0.486382i	−0.104444	+	0.994531i	$0.533306\pi$
$758$	−33.4235			−1.21400
$759$	4.27041	−	14.1756i	0.155006	−	0.514542i
$760$	−3.69879			−0.134169
$761$	26.7431	+	17.1867i	0.969436	+	0.623019i	0.926594	−	0.376063i	$-0.122722\pi$
$761$	26.7431	+	17.1867i	0.969436	+	0.623019i	0.0428419	+	0.999082i	$0.486359\pi$
$762$	−2.31030	−	16.0685i	−0.0836934	−	0.582100i
$763$	4.01298	+	8.78720i	0.145280	+	0.318118i
$764$	0.513936	+	0.150905i	0.0185936	+	0.00545956i
$765$	−17.0027	+	37.2307i	−0.614734	+	1.34608i
$766$	9.99597	−	11.5360i	0.361169	−	0.416811i
$767$	3.54387	−	24.6482i	0.127962	−	0.889995i
$768$	−22.5205	+	6.61261i	−0.812637	+	0.238612i
$769$	−4.89679	−	5.65120i	−0.176583	−	0.203787i	0.660558	−	0.750775i	$-0.270320\pi$
$769$	−4.89679	−	5.65120i	−0.176583	−	0.203787i	−0.837141	+	0.546988i	$0.815774\pi$
$770$	1.28533	−	0.826030i	0.0463200	−	0.0297680i
$771$	13.8138	−	8.87757i	0.497490	−	0.319718i
$772$	4.94485	+	5.70666i	0.177969	+	0.205387i
$773$	6.58985	−	1.93495i	0.237020	−	0.0695955i	−0.161065	−	0.986944i	$-0.551493\pi$
$773$	6.58985	−	1.93495i	0.237020	−	0.0695955i	0.398086	+	0.917348i	$0.369675\pi$
$774$	2.99167	−	20.8075i	0.107533	−	0.747912i
$775$	−4.49086	+	5.18273i	−0.161316	+	0.186169i
$776$	2.84276	−	6.22477i	0.102049	−	0.223456i
$777$	25.4110	+	7.46135i	0.911615	+	0.267674i
$778$	−11.7252	−	25.6745i	−0.420367	−	0.920476i
$779$	0.471552	+	3.27972i	0.0168951	+	0.117508i
$780$	−4.81855	−	3.09670i	−0.172532	−	0.110880i
$781$	−0.451970			−0.0161728
$782$	41.7961	+	19.4426i	1.49463	+	0.695266i
$783$	−42.0109			−1.50135
$784$	−3.82361	−	2.45728i	−0.136557	−	0.0877601i
$785$	2.15129	+	14.9625i	0.0767828	+	0.534036i
$786$	31.6592	+	69.3239i	1.12925	+	2.47270i
$787$	−4.98499	−	1.46372i	−0.177696	−	0.0521761i	0.191674	−	0.981459i	$-0.438608\pi$
$787$	−4.98499	−	1.46372i	−0.177696	−	0.0521761i	−0.369370	+	0.929282i	$0.620426\pi$
$788$	−1.10440	+	2.41830i	−0.0393427	+	0.0861485i
$789$	−10.7278	+	12.3805i	−0.381919	+	0.440757i
$790$	2.40248	−	16.7096i	0.0854765	−	0.594502i
$791$	14.4026	−	4.22899i	0.512098	−	0.150366i
$792$	−10.8792	−	12.5553i	−0.386576	−	0.446132i
$793$	22.3526	−	14.3652i	0.793765	−	0.510122i
$794$	−29.6539	+	19.0574i	−1.05238	+	0.676322i
$795$	−21.9417	−	25.3220i	−0.778191	−	0.898080i
$796$	0.909415	−	0.267028i	0.0322334	−	0.00946457i
$797$	−3.96585	+	27.5831i	−0.140478	+	0.977044i	0.790629	+	0.612296i	$0.209754\pi$
$797$	−3.96585	+	27.5831i	−0.140478	+	0.977044i	−0.931106	+	0.364748i	$0.881155\pi$
$798$	4.45714	−	5.14381i	0.157781	−	0.182089i
$799$	30.3361	−	66.4268i	1.07321	−	2.35001i
$800$	−1.75035	−	0.513950i	−0.0618843	−	0.0181709i
$801$	11.9461	+	26.1582i	0.422093	+	0.924256i
$802$	2.19689	+	15.2797i	0.0775748	+	0.539545i
$803$	−6.15635	−	3.95645i	−0.217253	−	0.139620i
$804$	9.22878			0.325474
$805$	−4.34838	−	2.02277i	−0.153260	−	0.0712932i
$806$	59.7156			2.10339
$807$	78.4560	+	50.4206i	2.76178	+	1.77489i
$808$	−2.39309	−	16.6443i	−0.0841888	−	0.585546i
$809$	16.8613	+	36.9212i	0.592813	+	1.29808i	0.933727	+	0.357985i	$0.116536\pi$
$809$	16.8613	+	36.9212i	0.592813	+	1.29808i	−0.340915	+	0.940094i	$0.610737\pi$
$810$	20.0267	+	5.88038i	0.703668	+	0.206616i
$811$	−4.78787	+	10.4840i	−0.168125	+	0.368142i	−0.974876	−	0.222750i	$-0.928497\pi$
$811$	−4.78787	+	10.4840i	−0.168125	+	0.368142i	0.806751	+	0.590892i	$0.201224\pi$
$812$	−0.832030	+	0.960214i	−0.0291985	+	0.0336969i
$813$	1.84126	−	12.8062i	0.0645757	−	0.449134i
$814$	12.6006	−	3.69987i	0.441651	−	0.129680i
$815$	−6.58181	−	7.59582i	−0.230551	−	0.266070i
$816$	74.2566	−	47.7218i	2.59950	−	1.67060i
$817$	−2.58679	+	1.66243i	−0.0905005	+	0.0581611i
$818$	−0.181731	−	0.209729i	−0.00635409	−	0.00733301i
$819$	−35.5776	+	10.4465i	−1.24318	+	0.365031i
$820$	−0.105982	+	0.737122i	−0.00370106	+	0.0257414i
$821$	3.78949	−	4.37331i	0.132254	−	0.152629i	−0.685760	−	0.727828i	$-0.740530\pi$
$821$	3.78949	−	4.37331i	0.132254	−	0.152629i	0.818014	+	0.575199i	$0.195075\pi$
$822$	19.0006	−	41.6055i	0.662721	−	1.45116i
$823$	−26.3695	−	7.74277i	−0.919182	−	0.269896i	−0.212281	−	0.977209i	$-0.568089\pi$
$823$	−26.3695	−	7.74277i	−0.919182	−	0.269896i	−0.706901	+	0.707313i	$0.749907\pi$
$824$	4.55911	+	9.98307i	0.158824	+	0.347777i
$825$	−0.439330	−	3.05561i	−0.0152955	−	0.106383i
$826$	5.59468	+	3.59548i	0.194664	+	0.125103i
$827$	18.8702			0.656181			0.328091	−	0.944646i	$-0.393595\pi$
$827$	18.8702			0.656181			0.328091	+	0.944646i	$0.393595\pi$
$828$	2.92448	−	9.70780i	0.101633	−	0.337369i
$829$	−20.4826			−0.711390			−0.355695	−	0.934602i	$-0.615756\pi$
$829$	−20.4826			−0.711390			−0.355695	+	0.934602i	$0.615756\pi$
$830$	7.52525	+	4.83618i	0.261205	+	0.167866i
$831$	1.23834	+	8.61283i	0.0429575	+	0.298776i
$832$	−14.9637	−	32.7660i	−0.518773	−	1.13596i
$833$	6.04765	+	1.77575i	0.209538	+	0.0615261i
$834$	−24.1940	+	52.9774i	−0.837769	+	1.83446i
$835$	0.950755	−	1.09723i	0.0329022	−	0.0379712i
$836$	0.0672401	−	0.467665i	0.00232555	−	0.0161745i
$837$	−70.8310	+	20.7979i	−2.44828	+	0.718879i
$838$	−14.7754	−	17.0517i	−0.510408	−	0.589043i
$839$	39.6472	−	25.4797i	1.36877	−	0.879656i	0.369992	−	0.929035i	$-0.379361\pi$
$839$	39.6472	−	25.4797i	1.36877	−	0.879656i	0.998780	+	0.0493789i	$0.0157242\pi$
$840$	−6.61878	+	4.25363i	−0.228370	+	0.146764i
$841$	9.01692	+	10.4061i	0.310928	+	0.358830i
$842$	40.4862	−	11.8878i	1.39525	−	0.409681i
$843$	5.97431	−	41.5523i	0.205766	−	1.43114i
$844$	−3.21054	+	3.70516i	−0.110511	+	0.127537i
$845$	8.14430	−	17.8335i	0.280172	−	0.613492i
$846$	−110.085	−	32.3240i	−3.78482	−	1.11132i
$847$	4.15257	+	9.09287i	0.142684	+	0.312435i
$848$	7.03396	+	48.9223i	0.241547	+	1.68000i
$849$	79.1714	+	50.8803i	2.71715	+	1.74621i
$850$	9.61188			0.329685
$851$	−30.9635	−	27.2121i	−1.06141	−	0.932818i
$852$	−0.452515			−0.0155029
$853$	−12.2294	−	7.85938i	−0.418728	−	0.269100i	0.314266	−	0.949335i	$-0.398241\pi$
$853$	−12.2294	−	7.85938i	−0.418728	−	0.269100i	−0.732994	+	0.680235i	$0.761878\pi$
$854$	1.00988	+	7.02390i	0.0345575	+	0.240353i
$855$	−3.90750	−	8.55624i	−0.133634	−	0.292617i
$856$	−48.2560	−	14.1692i	−1.64935	−	0.484294i
$857$	0.859205	−	1.88140i	0.0293499	−	0.0642673i	−0.894389	−	0.447289i	$-0.852389\pi$
$857$	0.859205	−	1.88140i	0.0293499	−	0.0642673i	0.923739	+	0.383022i	$0.125117\pi$
$858$	−17.6034	+	20.3154i	−0.600970	+	0.693557i
$859$	3.34089	−	23.2364i	0.113990	−	0.792815i	−0.849982	−	0.526811i	$-0.823388\pi$
$859$	3.34089	−	23.2364i	0.113990	−	0.792815i	0.963972	−	0.266004i	$-0.0857034\pi$
$860$	−0.663101	+	0.194704i	−0.0226116	+	0.00663935i
$861$	4.61552	+	5.32659i	0.157296	+	0.181530i
$862$	−47.6059	+	30.5944i	−1.62146	+	1.04205i
$863$	9.61450	−	6.17886i	0.327281	−	0.210331i	−0.366673	−	0.930350i	$-0.619503\pi$
$863$	9.61450	−	6.17886i	0.327281	−	0.210331i	0.693954	+	0.720019i	$0.255867\pi$
$864$	−12.8598	−	14.8410i	−0.437499	−	0.504901i
$865$	20.1756	−	5.92408i	0.685989	−	0.201425i
$866$	−7.28433	+	50.6637i	−0.247532	+	1.72162i
$867$	−45.8579	+	52.9228i	−1.55742	+	1.79735i
$868$	−0.927452	+	2.03084i	−0.0314798	+	0.0689311i
$869$	−10.6417	−	3.12469i	−0.360995	−	0.105998i
$870$	7.61771	+	16.6805i	0.258265	+	0.565520i
$871$	7.47639	+	51.9994i	0.253328	+	1.76193i
$872$	−20.7513	−	13.3361i	−0.702728	−	0.451616i
$873$	17.4026			0.588990
$874$	−9.66708	+	4.33323i	−0.326994	+	0.146574i
$875$	−1.00000			−0.0338062
$876$	−6.16377	−	3.96122i	−0.208255	−	0.133837i
$877$	6.16639	+	42.8882i	0.208224	+	1.44823i	0.778948	+	0.627089i	$0.215754\pi$
$877$	6.16639	+	42.8882i	0.208224	+	1.44823i	−0.570724	+	0.821142i	$0.693337\pi$
$878$	−0.348489	−	0.763084i	−0.0117609	−	0.0257528i
$879$	−52.6394	−	15.4563i	−1.77548	−	0.521329i
$880$	−1.89170	+	4.14224i	−0.0637691	+	0.139635i
$881$	21.4612	−	24.7675i	0.723045	−	0.834439i	−0.268625	−	0.963245i	$-0.586569\pi$
$881$	21.4612	−	24.7675i	0.723045	−	0.834439i	0.991670	+	0.128806i	$0.0411146\pi$
$882$	1.40931	−	9.80193i	0.0474538	−	0.330048i
$883$	−44.9295	+	13.1925i	−1.51200	+	0.443962i	−0.929485	−	0.368860i	$-0.879748\pi$
$883$	−44.9295	+	13.1925i	−1.51200	+	0.443962i	−0.582512	+	0.812822i	$0.697930\pi$
$884$	−7.67301	−	8.85513i	−0.258071	−	0.297830i
$885$	11.3039	−	7.26459i	0.379977	−	0.244196i
$886$	42.7920	−	27.5008i	1.43763	−	0.923906i
$887$	29.8869	+	34.4913i	1.00350	+	1.15810i	0.987402	+	0.158234i	$0.0505799\pi$
$887$	29.8869	+	34.4913i	1.00350	+	1.15810i	0.0161012	+	0.999870i	$0.494875\pi$
$888$	−64.8867	+	19.0524i	−2.17745	+	0.639358i
$889$	−0.491686	+	3.41975i	−0.0164906	+	0.114695i
$890$	4.42246	−	5.10379i	0.148241	−	0.171079i
$891$	5.69653	−	12.4737i	0.190841	−	0.417883i
$892$	−7.16335	−	2.10335i	−0.239847	−	0.0704254i
$893$	6.97174	+	15.2660i	0.233300	+	0.510857i
$894$	−1.26121	−	8.77194i	−0.0421813	−	0.293377i
$895$	8.00749	+	5.14610i	0.267661	+	0.172015i
$896$	13.2685			0.443271
$897$	83.4322	+	12.5928i	2.78572	+	0.420462i
$898$	−10.4170			−0.347618
$899$	−22.5148	−	14.4694i	−0.750911	−	0.482581i
$900$	−0.300864	−	2.09256i	−0.0100288	−	0.0697518i
$901$	−28.4728	−	62.3467i	−0.948566	−	2.07707i
$902$	3.35338	+	0.984640i	0.111655	+	0.0327849i
$903$	−2.71712	+	5.94966i	−0.0904201	+	0.197992i
$904$	−25.1005	+	28.9675i	−0.834830	+	0.963445i
$905$	−2.04126	+	14.1973i	−0.0678538	+	0.471934i
$906$	75.6724	−	22.2194i	2.51405	−	0.738191i
$907$	12.9129	+	14.9023i	0.428766	+	0.494822i	0.928487	−	0.371364i	$-0.121110\pi$
$907$	12.9129	+	14.9023i	0.428766	+	0.494822i	−0.499722	+	0.866186i	$0.666564\pi$
$908$	3.10690	−	1.99668i	0.103106	−	0.0662623i
$909$	35.9745	−	23.1194i	1.19320	−	0.766821i
$910$	5.70238	+	6.58090i	0.189032	+	0.218155i
$911$	10.9517	−	3.21572i	0.362847	−	0.106542i	−0.0952269	−	0.995456i	$-0.530358\pi$
$911$	10.9517	−	3.21572i	0.362847	−	0.106542i	0.458074	+	0.888914i	$0.348539\pi$
$912$	−2.88695	+	20.0792i	−0.0955965	+	0.664889i
$913$	3.84860	−	4.44152i	0.127370	−	0.146993i
$914$	−16.4745	+	36.0742i	−0.544929	+	1.19323i
$915$	13.7568	+	4.03936i	0.454785	+	0.133537i
$916$	3.50736	+	7.68005i	0.115886	+	0.253756i
$917$	−2.30827	−	16.0544i	−0.0762258	−	0.530162i
$918$	87.0435	+	55.9395i	2.87286	+	1.84628i
$919$	52.6613			1.73714			0.868568	−	0.495570i	$-0.165041\pi$
$919$	52.6613			1.73714			0.868568	+	0.495570i	$0.165041\pi$
$920$	12.1334	−	1.65785i	0.400025	−	0.0546578i
$921$	−28.1257			−0.926774
$922$	−42.0031	−	26.9938i	−1.38330	−	0.888992i
$923$	−0.366590	−	2.54969i	−0.0120664	−	0.0839240i
$924$	−0.417495	−	0.914187i	−0.0137346	−	0.0300746i
$925$	−8.24716	−	2.42158i	−0.271165	−	0.0796212i
$926$	22.4009	−	49.0511i	0.736139	−	1.61192i
$927$	−18.2770	+	21.0928i	−0.600295	+	0.692778i
$928$	1.01320	−	7.04696i	0.0332599	−	0.231328i
$929$	6.06567	−	1.78104i	0.199008	−	0.0584341i	−0.180709	−	0.983537i	$-0.557839\pi$
$929$	6.06567	−	1.78104i	0.199008	−	0.0584341i	0.379718	+	0.925102i	$0.376021\pi$
$930$	21.1014	+	24.3523i	0.691941	+	0.798542i
$931$	−1.21858	+	0.783132i	−0.0399372	+	0.0256661i
$932$	5.32812	−	3.42418i	0.174528	−	0.112163i
$933$	−32.0413	−	36.9776i	−1.04898	−	1.21059i
$934$	−16.2765	+	4.77921i	−0.532583	+	0.156381i
$935$	0.898707	−	6.25064i	0.0293908	−	0.204418i
$936$	62.0037	−	71.5560i	2.02665	−	2.33888i
$937$	−18.2040	+	39.8612i	−0.594699	+	1.30221i	0.337862	+	0.941196i	$0.390296\pi$
$937$	−18.2040	+	39.8612i	−0.594699	+	1.30221i	−0.932561	+	0.361013i	$0.882431\pi$
$938$	−13.4618	−	3.95275i	−0.439544	−	0.129062i
$939$	−39.0931	−	85.6020i	−1.27576	−	2.79352i
$940$	0.536800	+	3.73352i	0.0175085	+	0.121774i
$941$	19.1742	+	12.3225i	0.625061	+	0.401702i	0.814478	−	0.580195i	$-0.197024\pi$
$941$	19.1742	+	12.3225i	0.625061	+	0.401702i	−0.189417	+	0.981897i	$0.560660\pi$
$942$	71.0280			2.31422
$943$	−3.01688	−	10.5473i	−0.0982432	−	0.343467i
$944$	−19.8212			−0.645126
$945$	−9.05583	−	5.81983i	−0.294586	−	0.189319i
$946$	0.461579	+	3.21035i	0.0150072	+	0.104378i
$947$	23.1407	+	50.6710i	0.751970	+	1.64659i	0.762792	+	0.646644i	$0.223828\pi$
$947$	23.1407	+	50.6710i	0.751970	+	1.64659i	−0.0108219	+	0.999941i	$0.503445\pi$
$948$	−10.6545	−	3.12845i	−0.346043	−	0.101607i
$949$	17.3260	−	37.9387i	0.562427	−	1.23154i
$950$	−1.44657	+	1.66943i	−0.0469328	+	0.0541634i
$951$	7.43720	−	51.7268i	0.241168	−	1.67736i
$952$	−15.4426	+	4.53435i	−0.500497	+	0.146959i
$953$	−24.7402	−	28.5517i	−0.801414	−	0.924881i	0.197044	−	0.980395i	$-0.436866\pi$
$953$	−24.7402	−	28.5517i	−0.801414	−	0.924881i	−0.998458	+	0.0555136i	$0.982320\pi$
$954$	−90.5910	+	58.2193i	−2.93299	+	1.88492i
$955$	−1.38409	+	0.889503i	−0.0447882	+	0.0287837i
$956$	−3.57791	−	4.12912i	−0.115718	−	0.133545i
$957$	11.5596	−	3.39421i	0.373669	−	0.109719i
$958$	−4.37951	+	30.4602i	−0.141496	+	0.984123i
$959$	−6.37459	+	7.35667i	−0.205846	+	0.237559i
$960$	8.07446	−	17.6806i	0.260602	−	0.570639i
$961$	−15.3792	−	4.51574i	−0.496103	−	0.145669i
$962$	31.0922	+	68.0825i	1.00245	+	2.19507i
$963$	−18.2019	−	126.597i	−0.586548	−	4.07953i
$964$	−0.911208	−	0.585598i	−0.0293480	−	0.0188608i
$965$	−23.1940			−0.746640
$966$	−12.3155	+	18.8713i	−0.396244	+	0.607174i
$967$	27.1400			0.872763			0.436381	−	0.899762i	$-0.356260\pi$
$967$	27.1400			0.872763			0.436381	+	0.899762i	$0.356260\pi$
$968$	−21.4731	−	13.7999i	−0.690173	−	0.443547i
$969$	−4.00348	−	27.8448i	−0.128610	−	0.894505i
$970$	−1.69773	−	3.71752i	−0.0545110	−	0.119362i
$971$	19.4047	+	5.69774i	0.622728	+	0.182849i	0.577850	−	0.816143i	$-0.303892\pi$
$971$	19.4047	+	5.69774i	0.622728	+	0.182849i	0.0448778	+	0.998992i	$0.485710\pi$
$972$	1.33589	−	2.92519i	0.0428486	−	0.0938254i
$973$	8.11696	−	9.36747i	0.260218	−	0.300307i
$974$	9.39262	−	65.3271i	0.300959	−	2.09322i
$975$	16.8812	−	4.95676i	0.540630	−	0.158743i
$976$	−13.8501	−	15.9839i	−0.443331	−	0.511631i
$977$	27.8172	−	17.8770i	0.889950	−	0.571936i	−0.0138439	−	0.999904i	$-0.504407\pi$
$977$	27.8172	−	17.8770i	0.889950	−	0.571936i	0.903794	+	0.427968i	$0.140770\pi$
$978$	−39.7287	+	25.5321i	−1.27038	+	0.816426i
$979$	−2.90552	−	3.35315i	−0.0928608	−	0.107167i
$980$	−0.312371	+	0.0917204i	−0.00997832	+	0.00292990i
$981$	8.92743	−	62.0916i	0.285031	−	1.98243i
$982$	−27.8327	+	32.1206i	−0.888177	+	1.02501i
$983$	−1.46800	+	3.21446i	−0.0468218	+	0.102525i	−0.931597	−	0.363492i	$-0.881584\pi$
$983$	−1.46800	+	3.21446i	−0.0468218	+	0.102525i	0.884775	+	0.466018i	$0.154312\pi$
$984$	−17.2682	−	5.07040i	−0.550490	−	0.161638i
$985$	−3.39233	−	7.42817i	−0.108089	−	0.236681i
$986$	5.33850	+	37.1301i	0.170013	+	1.18246i
$987$	30.0315	+	19.3001i	0.955914	+	0.614329i
$988$	2.69276			0.0856682
$989$	7.74049	−	6.61282i	0.246133	−	0.210275i
$990$	−9.92152			−0.315326
$991$	−21.3206	−	13.7019i	−0.677271	−	0.435255i	0.156269	−	0.987714i	$-0.450053\pi$
$991$	−21.3206	−	13.7019i	−0.677271	−	0.435255i	−0.833540	+	0.552459i	$0.813690\pi$
$992$	−1.78039	−	12.3829i	−0.0565273	−	0.393156i
$993$	−40.9118	−	89.5843i	−1.29830	−	2.84287i
$994$	0.660073	+	0.193815i	0.0209362	+	0.00614744i
$995$	−1.20941	+	2.64824i	−0.0383409	+	0.0839549i
$996$	3.85324	−	4.44687i	0.122094	−	0.140904i
$997$	−1.77971	+	12.3781i	−0.0563639	+	0.392019i	0.942038	+	0.335506i	$0.108907\pi$
$997$	−1.77971	+	12.3781i	−0.0563639	+	0.392019i	−0.998402	+	0.0565130i	$0.982002\pi$
$998$	57.4636	−	16.8728i	1.81898	−	0.534101i
$999$	−60.5917	−	69.9265i	−1.91704	−	2.21238i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	805.2.u.d.71.4	✓	130
23.12	even	11	inner	805.2.u.d.771.4	yes	130

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
805.2.u.d.71.4	✓	130	1.1	even	1	trivial
805.2.u.d.771.4	yes	130	23.12	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:	\( N \)	\(=\)	\( 805 = 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	805.u (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28289 - 0.824465i) q^{2} +(-0.438498 - 3.04982i) q^{3} +(0.135242 + 0.296138i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(-1.95193 + 4.27412i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.363399 + 2.52750i) q^{8} +(-6.23065 + 1.82948i) q^{9} +O(q^{10})\)	\(q+(-1.28289 - 0.824465i) q^{2} +(-0.438498 - 3.04982i) q^{3} +(0.135242 + 0.296138i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(-1.95193 + 4.27412i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.363399 + 2.52750i) q^{8} +(-6.23065 + 1.82948i) q^{9} +(0.998648 + 1.15250i) q^{10} +(0.842850 - 0.541667i) q^{11} +(0.843865 - 0.542319i) q^{12} +(3.73932 + 4.31540i) q^{13} +(-1.46321 + 0.429636i) q^{14} +(-0.438498 + 3.04982i) q^{15} +(2.97643 - 3.43498i) q^{16} +(-2.61834 + 5.73337i) q^{17} +(9.50160 + 2.78992i) q^{18} +(-0.601739 - 1.31762i) q^{19} +(-0.0463318 - 0.322245i) q^{20} +(-2.59206 - 1.66581i) q^{21} -1.52787 q^{22} +(2.56450 + 4.05257i) q^{23} +7.86776 q^{24} +(0.841254 + 0.540641i) q^{25} +(-1.23925 - 8.61914i) q^{26} +(4.47181 + 9.79190i) q^{27} +(0.312371 + 0.0917204i) q^{28} +(-1.62123 + 3.54999i) q^{29} +(3.07702 - 3.55107i) q^{30} +(-0.975957 + 6.78793i) q^{31} +(-1.75035 + 0.513950i) q^{32} +(-2.02157 - 2.33302i) q^{33} +(8.08602 - 5.19657i) q^{34} +(-0.841254 + 0.540641i) q^{35} +(-1.38442 - 1.59771i) q^{36} +(-8.24716 + 2.42158i) q^{37} +(-0.314369 + 2.18648i) q^{38} +(11.5215 - 13.2965i) q^{39} +(1.06076 - 2.32273i) q^{40} +(-2.19480 - 0.644452i) q^{41} +(1.95193 + 4.27412i) q^{42} +(-0.302106 - 2.10119i) q^{43} +(0.274397 + 0.176344i) q^{44} +6.49369 q^{45} +(0.0512274 - 7.31336i) q^{46} -11.5860 q^{47} +(-11.7812 - 7.57133i) q^{48} +(-0.142315 - 0.989821i) q^{49} +(-0.633499 - 1.38717i) q^{50} +(18.6339 + 5.47141i) q^{51} +(-0.772244 + 1.69098i) q^{52} +(-7.12119 + 8.21829i) q^{53} +(2.33623 - 16.2488i) q^{54} +(-0.961313 + 0.282267i) q^{55} +(1.67218 + 1.92980i) q^{56} +(-3.75466 + 2.41297i) q^{57} +(5.00670 - 3.21761i) q^{58} +(-2.85584 - 3.29581i) q^{59} +(-0.962472 + 0.282607i) q^{60} +(0.662229 - 4.60590i) q^{61} +(6.84846 - 7.90354i) q^{62} +(-2.69757 + 5.90686i) q^{63} +(-6.05279 - 1.77726i) q^{64} +(-2.37206 - 5.19409i) q^{65} +(0.669969 + 4.65973i) q^{66} +(7.73972 + 4.97401i) q^{67} -2.05198 q^{68} +(11.2351 - 9.59831i) q^{69} +1.52498 q^{70} +(-0.379502 - 0.243891i) q^{71} +(-2.35980 - 16.4128i) q^{72} +(-3.03428 - 6.64415i) q^{73} +(12.5767 + 3.69286i) q^{74} +(1.27997 - 2.80274i) q^{75} +(0.308819 - 0.356396i) q^{76} +(0.142585 - 0.991699i) q^{77} +(-25.7434 + 7.55895i) q^{78} +(-7.24929 - 8.36613i) q^{79} +(-3.82361 + 2.45728i) q^{80} +(11.5141 - 7.39969i) q^{81} +(2.28437 + 2.63630i) q^{82} +(5.62823 - 1.65260i) q^{83} +(0.142757 - 0.992894i) q^{84} +(4.12756 - 4.76346i) q^{85} +(-1.34479 + 2.94468i) q^{86} +(11.5377 + 3.38778i) q^{87} +(1.06277 + 2.32714i) q^{88} +(-0.630234 - 4.38337i) q^{89} +(-8.33071 - 5.35382i) q^{90} +5.71010 q^{91} +(-0.853294 + 1.30752i) q^{92} +21.1299 q^{93} +(14.8636 + 9.55225i) q^{94} +(0.206147 + 1.43378i) q^{95} +(2.33498 + 5.11290i) q^{96} +(-2.57138 - 0.755025i) q^{97} +(-0.633499 + 1.38717i) q^{98} +(-4.26053 + 4.91691i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9}+O(q^{10}) \) 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9	\( 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9} + 2 q^{10} + 2 q^{11} - 5 q^{12} + 13 q^{13} - 2 q^{14} + 2 q^{15} - 6 q^{16} - 51 q^{17} + q^{18} - 9 q^{19} - 16 q^{20} - 2 q^{21} + 34 q^{22} - 10 q^{23} - 76 q^{24} - 13 q^{25} - 31 q^{26} + 14 q^{27} + 27 q^{28} + 3 q^{29} + 5 q^{30} + 6 q^{31} + 22 q^{32} - 58 q^{33} + q^{34} + 13 q^{35} + 193 q^{36} - 36 q^{37} + 4 q^{38} - 2 q^{39} - 29 q^{40} - 34 q^{41} - 5 q^{42} - 22 q^{43} + 8 q^{44} + 170 q^{45} - 198 q^{46} - 14 q^{47} - 120 q^{48} - 13 q^{49} + 2 q^{50} - 6 q^{51} + 33 q^{52} - 18 q^{53} + 188 q^{54} - 31 q^{55} - 15 q^{56} - 9 q^{57} + 114 q^{58} + 46 q^{59} - 16 q^{60} - 56 q^{61} - 146 q^{62} + 17 q^{63} - 109 q^{64} + 2 q^{65} - 14 q^{66} - 10 q^{67} + 86 q^{68} - 6 q^{69} - 2 q^{70} - 25 q^{72} + 64 q^{73} + 79 q^{74} + 2 q^{75} + 32 q^{76} - 13 q^{77} - 64 q^{78} - 118 q^{79} - 17 q^{80} + 23 q^{81} + 129 q^{82} - 117 q^{83} - 72 q^{84} - 7 q^{85} + 74 q^{86} - 51 q^{87} - 40 q^{88} - 35 q^{89} + 100 q^{90} + 42 q^{91} + 76 q^{92} - 90 q^{93} - 7 q^{94} + 2 q^{95} + 393 q^{96} - 4 q^{97} + 2 q^{98} - 40 q^{99}+O(q^{100}) \) 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9 + 2 * q^10 + 2 * q^11 - 5 * q^12 + 13 * q^13 - 2 * q^14 + 2 * q^15 - 6 * q^16 - 51 * q^17 + q^18 - 9 * q^19 - 16 * q^20 - 2 * q^21 + 34 * q^22 - 10 * q^23 - 76 * q^24 - 13 * q^25 - 31 * q^26 + 14 * q^27 + 27 * q^28 + 3 * q^29 + 5 * q^30 + 6 * q^31 + 22 * q^32 - 58 * q^33 + q^34 + 13 * q^35 + 193 * q^36 - 36 * q^37 + 4 * q^38 - 2 * q^39 - 29 * q^40 - 34 * q^41 - 5 * q^42 - 22 * q^43 + 8 * q^44 + 170 * q^45 - 198 * q^46 - 14 * q^47 - 120 * q^48 - 13 * q^49 + 2 * q^50 - 6 * q^51 + 33 * q^52 - 18 * q^53 + 188 * q^54 - 31 * q^55 - 15 * q^56 - 9 * q^57 + 114 * q^58 + 46 * q^59 - 16 * q^60 - 56 * q^61 - 146 * q^62 + 17 * q^63 - 109 * q^64 + 2 * q^65 - 14 * q^66 - 10 * q^67 + 86 * q^68 - 6 * q^69 - 2 * q^70 - 25 * q^72 + 64 * q^73 + 79 * q^74 + 2 * q^75 + 32 * q^76 - 13 * q^77 - 64 * q^78 - 118 * q^79 - 17 * q^80 + 23 * q^81 + 129 * q^82 - 117 * q^83 - 72 * q^84 - 7 * q^85 + 74 * q^86 - 51 * q^87 - 40 * q^88 - 35 * q^89 + 100 * q^90 + 42 * q^91 + 76 * q^92 - 90 * q^93 - 7 * q^94 + 2 * q^95 + 393 * q^96 - 4 * q^97 + 2 * q^98 - 40 * q^99

Introduction

L-functions

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