LMFDB - Embedded newform 483.2.q.f.64.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			64.2
Character	$\chi$	$=$	483.64
Dual form			483.2.q.f.400.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.29822 - 0.674819i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(3.14394 + 2.02049i) q^{4} +(-0.337260 + 2.34570i) q^{5} +(2.01501 - 1.29497i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-2.72491 - 3.14472i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(-2.29822 - 0.674819i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(3.14394 + 2.02049i) q^{4} +(-0.337260 + 2.34570i) q^{5} +(2.01501 - 1.29497i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-2.72491 - 3.14472i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(2.35802 - 5.16334i) q^{10} +(2.78313 - 0.817200i) q^{11} +(-3.58583 + 1.05289i) q^{12} +(2.28003 - 4.99257i) q^{13} +(0.340879 + 2.37087i) q^{14} +(-1.55190 - 1.79099i) q^{15} +(1.03536 + 2.26711i) q^{16} +(-1.60886 + 1.03395i) q^{17} +(-0.340879 + 2.37087i) q^{18} +(6.02903 + 3.87462i) q^{19} +(-5.79978 + 6.69331i) q^{20} +(0.959493 + 0.281733i) q^{21} -6.94771 q^{22} +(-4.75005 + 0.661064i) q^{23} +4.16106 q^{24} +(-0.591079 - 0.173557i) q^{25} +(-8.60911 + 9.93544i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.531861 - 3.69917i) q^{28} +(1.97626 - 1.27007i) q^{29} +(2.35802 + 5.16334i) q^{30} +(-0.563115 - 0.649869i) q^{31} +(0.334773 + 2.32840i) q^{32} +(-1.20496 + 2.63850i) q^{33} +(4.39526 - 1.29056i) q^{34} +(2.27382 - 0.667655i) q^{35} +(1.55249 - 3.39949i) q^{36} +(0.866022 + 6.02332i) q^{37} +(-11.2414 - 12.9733i) q^{38} +(2.28003 + 4.99257i) q^{39} +(8.29556 - 5.33123i) q^{40} +(-0.842558 + 5.86012i) q^{41} +(-2.01501 - 1.29497i) q^{42} +(1.07601 - 1.24178i) q^{43} +(10.4011 + 3.05405i) q^{44} +2.36982 q^{45} +(11.3628 + 1.68616i) q^{46} +10.6412 q^{47} +(-2.39138 - 0.702173i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(1.24131 + 0.797744i) q^{50} +(0.272171 - 1.89299i) q^{51} +(17.2557 - 11.0896i) q^{52} +(2.15884 + 4.72720i) q^{53} +(-1.56855 - 1.81021i) q^{54} +(0.978265 + 6.80398i) q^{55} +(-1.72857 + 3.78503i) q^{56} +(-6.87642 + 2.01910i) q^{57} +(-5.39896 + 1.58528i) q^{58} +(3.20946 - 7.02773i) q^{59} +(-1.26041 - 8.76637i) q^{60} +(7.56733 + 8.73316i) q^{61} +(0.855619 + 1.87355i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(1.51126 - 10.5110i) q^{64} +(10.9421 + 7.03206i) q^{65} +(4.54978 - 5.25073i) q^{66} +(-11.8534 - 3.48046i) q^{67} -7.14727 q^{68} +(2.61102 - 4.02275i) q^{69} -5.67630 q^{70} +(6.93490 + 2.03627i) q^{71} +(-2.72491 + 3.14472i) q^{72} +(6.36926 + 4.09328i) q^{73} +(2.07434 - 14.4273i) q^{74} +(0.518240 - 0.333053i) q^{75} +(11.1263 + 24.3632i) q^{76} +(-1.89950 - 2.19214i) q^{77} +(-1.87094 - 13.0127i) q^{78} +(-6.94007 + 15.1966i) q^{79} +(-5.66714 + 1.66402i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(5.89091 - 12.8993i) q^{82} +(-1.36851 - 9.51821i) q^{83} +(2.44735 + 2.82440i) q^{84} +(-1.88273 - 4.12261i) q^{85} +(-3.31088 + 2.12777i) q^{86} +(-0.334324 + 2.32528i) q^{87} +(-10.1536 - 6.52535i) q^{88} +(2.07832 - 2.39851i) q^{89} +(-5.44637 - 1.59920i) q^{90} -5.48857 q^{91} +(-16.2696 - 7.51909i) q^{92} +0.859900 q^{93} +(-24.4559 - 7.18091i) q^{94} +(-11.1220 + 12.8355i) q^{95} +(-1.97892 - 1.27177i) q^{96} +(-0.355071 + 2.46957i) q^{97} +(2.01501 - 1.29497i) q^{98} +(-1.20496 - 2.63850i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9}+O(q^{10}) $ 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9} + 4 q^{10} + q^{11} - 9 q^{12} - 26 q^{13} - q^{14} + 2 q^{15} - 3 q^{16} - 23 q^{17} + q^{18} + 10 q^{19} + 63 q^{20} + 8 q^{21} - 9 q^{23} + 30 q^{24} - 29 q^{25} - 12 q^{26} - 8 q^{27} + 20 q^{28} + 13 q^{29} + 4 q^{30} - 27 q^{31} + 71 q^{32} + q^{33} - 45 q^{34} - 2 q^{35} - 9 q^{36} + 60 q^{37} - 2 q^{38} - 26 q^{39} + 7 q^{40} - 26 q^{41} - q^{42} + 5 q^{43} - 33 q^{44} - 20 q^{45} - 41 q^{46} + 34 q^{47} - 58 q^{48} - 8 q^{49} - 75 q^{50} - q^{51} + 108 q^{52} - 39 q^{53} - 10 q^{54} + 51 q^{55} + 3 q^{56} + 10 q^{57} + 47 q^{58} - 66 q^{59} + 19 q^{60} + 3 q^{61} + 103 q^{62} + 8 q^{63} - 25 q^{64} + 39 q^{65} - 33 q^{66} + 33 q^{67} - 88 q^{68} + 13 q^{69} + 18 q^{70} - 12 q^{71} - 25 q^{72} - 98 q^{73} + 123 q^{74} + 4 q^{75} - 41 q^{76} - 12 q^{77} + 10 q^{78} - 34 q^{79} + 163 q^{80} - 8 q^{81} + 48 q^{82} + 26 q^{83} + 9 q^{84} + 35 q^{85} + 4 q^{86} + 2 q^{87} + 178 q^{88} - 63 q^{89} + 4 q^{90} - 62 q^{91} - 39 q^{92} + 138 q^{93} - 28 q^{94} - 80 q^{95} - 17 q^{96} - 44 q^{97} + q^{98} + q^{99}+O(q^{100}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9 + 4 * q^10 + q^11 - 9 * q^12 - 26 * q^13 - q^14 + 2 * q^15 - 3 * q^16 - 23 * q^17 + q^18 + 10 * q^19 + 63 * q^20 + 8 * q^21 - 9 * q^23 + 30 * q^24 - 29 * q^25 - 12 * q^26 - 8 * q^27 + 20 * q^28 + 13 * q^29 + 4 * q^30 - 27 * q^31 + 71 * q^32 + q^33 - 45 * q^34 - 2 * q^35 - 9 * q^36 + 60 * q^37 - 2 * q^38 - 26 * q^39 + 7 * q^40 - 26 * q^41 - q^42 + 5 * q^43 - 33 * q^44 - 20 * q^45 - 41 * q^46 + 34 * q^47 - 58 * q^48 - 8 * q^49 - 75 * q^50 - q^51 + 108 * q^52 - 39 * q^53 - 10 * q^54 + 51 * q^55 + 3 * q^56 + 10 * q^57 + 47 * q^58 - 66 * q^59 + 19 * q^60 + 3 * q^61 + 103 * q^62 + 8 * q^63 - 25 * q^64 + 39 * q^65 - 33 * q^66 + 33 * q^67 - 88 * q^68 + 13 * q^69 + 18 * q^70 - 12 * q^71 - 25 * q^72 - 98 * q^73 + 123 * q^74 + 4 * q^75 - 41 * q^76 - 12 * q^77 + 10 * q^78 - 34 * q^79 + 163 * q^80 - 8 * q^81 + 48 * q^82 + 26 * q^83 + 9 * q^84 + 35 * q^85 + 4 * q^86 + 2 * q^87 + 178 * q^88 - 63 * q^89 + 4 * q^90 - 62 * q^91 - 39 * q^92 + 138 * q^93 - 28 * q^94 - 80 * q^95 - 17 * q^96 - 44 * q^97 + q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−2.29822	−	0.674819i	−1.62509	−	0.477169i	−0.662710	−	0.748876i	$-0.730594\pi$
$2$	−2.29822	−	0.674819i	−1.62509	−	0.477169i	−0.962380	+	0.271707i	$0.912412\pi$
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$4$	3.14394	+	2.02049i	1.57197	+	1.01025i
$5$	−0.337260	+	2.34570i	−0.150827	+	1.04903i	0.764010	+	0.645204i	$0.223228\pi$
$5$	−0.337260	+	2.34570i	−0.150827	+	1.04903i	−0.914837	+	0.403823i	$0.867681\pi$
$6$	2.01501	−	1.29497i	0.822625	−	0.528669i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$8$	−2.72491	−	3.14472i	−0.963403	−	1.11183i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	2.35802	−	5.16334i	0.745671	−	1.63279i
$11$	2.78313	−	0.817200i	0.839145	−	0.246395i	0.166204	−	0.986091i	$-0.446849\pi$
$11$	2.78313	−	0.817200i	0.839145	−	0.246395i	0.672941	+	0.739696i	$0.265031\pi$
$12$	−3.58583	+	1.05289i	−1.03514	+	0.303945i
$13$	2.28003	−	4.99257i	0.632367	−	1.38469i	−0.273806	−	0.961785i	$-0.588283\pi$
$13$	2.28003	−	4.99257i	0.632367	−	1.38469i	0.906173	−	0.422906i	$-0.138990\pi$
$14$	0.340879	+	2.37087i	0.0911038	+	0.633641i
$15$	−1.55190	−	1.79099i	−0.400699	−	0.462431i
$16$	1.03536	+	2.26711i	0.258839	+	0.566778i
$17$	−1.60886	+	1.03395i	−0.390206	+	0.250770i	−0.721003	−	0.692931i	$-0.756319\pi$
$17$	−1.60886	+	1.03395i	−0.390206	+	0.250770i	0.330797	+	0.943702i	$0.392682\pi$
$18$	−0.340879	+	2.37087i	−0.0803460	+	0.558819i
$19$	6.02903	+	3.87462i	1.38315	+	0.888899i	0.999403	−	0.0345372i	$-0.0109957\pi$
$19$	6.02903	+	3.87462i	1.38315	+	0.888899i	0.383751	+	0.923437i	$0.374632\pi$
$20$	−5.79978	+	6.69331i	−1.29687	+	1.49667i
$21$	0.959493	+	0.281733i	0.209379	+	0.0614791i
$22$	−6.94771			−1.48126
$23$	−4.75005	+	0.661064i	−0.990454	+	0.137841i
$23$	−4.75005	+	0.661064i	−0.990454	+	0.137841i
$24$	4.16106			0.849373
$25$	−0.591079	−	0.173557i	−0.118216	−	0.0347113i
$26$	−8.60911	+	9.93544i	−1.68839	+	1.94850i
$27$	0.841254	+	0.540641i	0.161899	+	0.104046i
$28$	0.531861	−	3.69917i	0.100512	−	0.699078i
$29$	1.97626	−	1.27007i	0.366983	−	0.235845i	−0.344132	−	0.938921i	$-0.611827\pi$
$29$	1.97626	−	1.27007i	0.366983	−	0.235845i	0.711115	+	0.703076i	$0.248191\pi$
$30$	2.35802	+	5.16334i	0.430514	+	0.942693i
$31$	−0.563115	−	0.649869i	−0.101138	−	0.116720i	0.702924	−	0.711265i	$-0.251878\pi$
$31$	−0.563115	−	0.649869i	−0.101138	−	0.116720i	−0.804062	+	0.594545i	$0.797332\pi$
$32$	0.334773	+	2.32840i	0.0591801	+	0.411607i
$33$	−1.20496	+	2.63850i	−0.209757	+	0.459304i
$34$	4.39526	−	1.29056i	0.753780	−	0.221330i
$35$	2.27382	−	0.667655i	0.384346	−	0.112854i
$36$	1.55249	−	3.39949i	0.258749	−	0.566582i
$37$	0.866022	+	6.02332i	0.142373	+	0.990227i	0.928280	+	0.371882i	$0.121287\pi$
$37$	0.866022	+	6.02332i	0.142373	+	0.990227i	−0.785907	+	0.618345i	$0.787803\pi$
$38$	−11.2414	−	12.9733i	−1.82359	−	2.10454i
$39$	2.28003	+	4.99257i	0.365097	+	0.799452i
$40$	8.29556	−	5.33123i	1.31164	−	0.842942i
$41$	−0.842558	+	5.86012i	−0.131585	+	0.915196i	0.811903	+	0.583792i	$0.198432\pi$
$41$	−0.842558	+	5.86012i	−0.131585	+	0.915196i	−0.943489	+	0.331405i	$0.892477\pi$
$42$	−2.01501	−	1.29497i	−0.310923	−	0.199818i
$43$	1.07601	−	1.24178i	0.164089	−	0.189369i	−0.667750	−	0.744386i	$-0.732743\pi$
$43$	1.07601	−	1.24178i	0.164089	−	0.189369i	0.831840	+	0.555016i	$0.187288\pi$
$44$	10.4011	+	3.05405i	1.56803	+	0.460416i
$45$	2.36982			0.353271
$46$	11.3628	+	1.68616i	1.67535	+	0.248610i
$47$	10.6412			1.55218			0.776091	−	0.630621i	$-0.217200\pi$
$47$	10.6412			1.55218			0.776091	+	0.630621i	$0.217200\pi$
$48$	−2.39138	−	0.702173i	−0.345166	−	0.101350i
$49$	−0.654861	+	0.755750i	−0.0935515	+	0.107964i
$50$	1.24131	+	0.797744i	0.175548	+	0.112818i
$51$	0.272171	−	1.89299i	0.0381116	−	0.265072i
$52$	17.2557	−	11.0896i	2.39294	−	1.53785i
$53$	2.15884	+	4.72720i	0.296540	+	0.649331i	0.997989	−	0.0633882i	$-0.0201906\pi$
$53$	2.15884	+	4.72720i	0.296540	+	0.649331i	−0.701449	+	0.712719i	$0.747463\pi$
$54$	−1.56855	−	1.81021i	−0.213453	−	0.246338i
$55$	0.978265	+	6.80398i	0.131909	+	0.917448i
$56$	−1.72857	+	3.78503i	−0.230989	+	0.505796i
$57$	−6.87642	+	2.01910i	−0.910804	+	0.267436i
$58$	−5.39896	+	1.58528i	−0.708918	+	0.208157i
$59$	3.20946	−	7.02773i	0.417836	−	0.914933i	−0.577310	−	0.816525i	$-0.695898\pi$
$59$	3.20946	−	7.02773i	0.417836	−	0.914933i	0.995146	−	0.0984080i	$-0.0313750\pi$
$60$	−1.26041	−	8.76637i	−0.162719	−	1.13173i
$61$	7.56733	+	8.73316i	0.968897	+	1.11817i	0.992959	+	0.118456i	$0.0377946\pi$
$61$	7.56733	+	8.73316i	0.968897	+	1.11817i	−0.0240621	+	0.999710i	$0.507660\pi$
$62$	0.855619	+	1.87355i	0.108664	+	0.237940i
$63$	−0.841254	+	0.540641i	−0.105988	+	0.0681143i
$64$	1.51126	−	10.5110i	0.188907	−	1.31388i
$65$	10.9421	+	7.03206i	1.35720	+	0.872220i
$66$	4.54978	−	5.25073i	0.560040	−	0.646320i
$67$	−11.8534	−	3.48046i	−1.44812	−	0.425206i	−0.539200	−	0.842178i	$-0.681273\pi$
$67$	−11.8534	−	3.48046i	−1.44812	−	0.425206i	−0.908920	+	0.416971i	$0.863092\pi$
$68$	−7.14727			−0.866733
$69$	2.61102	−	4.02275i	0.314330	−	0.484283i
$70$	−5.67630			−0.678448
$71$	6.93490	+	2.03627i	0.823022	+	0.241661i	0.666017	−	0.745937i	$-0.267998\pi$
$71$	6.93490	+	2.03627i	0.823022	+	0.241661i	0.157005	+	0.987598i	$0.449816\pi$
$72$	−2.72491	+	3.14472i	−0.321134	+	0.370609i
$73$	6.36926	+	4.09328i	0.745466	+	0.479082i	0.857411	−	0.514633i	$-0.172072\pi$
$73$	6.36926	+	4.09328i	0.745466	+	0.479082i	−0.111945	+	0.993714i	$0.535708\pi$
$74$	2.07434	−	14.4273i	0.241137	−	1.67714i
$75$	0.518240	−	0.333053i	0.0598412	−	0.0384576i
$76$	11.1263	+	24.3632i	1.27627	+	2.79465i
$77$	−1.89950	−	2.19214i	−0.216469	−	0.249818i
$78$	−1.87094	−	13.0127i	−0.211842	−	1.47339i
$79$	−6.94007	+	15.1966i	−0.780819	+	1.70975i	−0.0795797	+	0.996829i	$0.525358\pi$
$79$	−6.94007	+	15.1966i	−0.780819	+	1.70975i	−0.701239	+	0.712926i	$0.747369\pi$
$80$	−5.66714	+	1.66402i	−0.633606	+	0.186043i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	5.89091	−	12.8993i	0.650542	−	1.42449i
$83$	−1.36851	−	9.51821i	−0.150214	−	1.04476i	−0.915860	−	0.401498i	$-0.868490\pi$
$83$	−1.36851	−	9.51821i	−0.150214	−	1.04476i	0.765646	−	0.643262i	$-0.222419\pi$
$84$	2.44735	+	2.82440i	0.267028	+	0.308167i
$85$	−1.88273	−	4.12261i	−0.204211	−	0.447160i
$86$	−3.31088	+	2.12777i	−0.357021	+	0.229444i
$87$	−0.334324	+	2.32528i	−0.0358433	+	0.249296i
$88$	−10.1536	−	6.52535i	−1.08238	−	0.695605i
$89$	2.07832	−	2.39851i	0.220302	−	0.254242i	−0.634831	−	0.772651i	$-0.718930\pi$
$89$	2.07832	−	2.39851i	0.220302	−	0.254242i	0.855133	+	0.518409i	$0.173476\pi$
$90$	−5.44637	−	1.59920i	−0.574098	−	0.168570i
$91$	−5.48857			−0.575358
$92$	−16.2696	−	7.51909i	−1.69622	−	0.783919i
$93$	0.859900			0.0891675
$94$	−24.4559	−	7.18091i	−2.52244	−	0.740654i
$95$	−11.1220	+	12.8355i	−1.14110	+	1.31690i
$96$	−1.97892	−	1.27177i	−0.201972	−	0.129800i
$97$	−0.355071	+	2.46957i	−0.0360520	+	0.250747i	−0.999875	−	0.0157951i	$-0.994972\pi$
$97$	−0.355071	+	2.46957i	−0.0360520	+	0.250747i	0.963823	+	0.266542i	$0.0858811\pi$
$98$	2.01501	−	1.29497i	0.203547	−	0.130812i
$99$	−1.20496	−	2.63850i	−0.121103	−	0.265179i
$100$	−1.50765	−	1.73992i	−0.150765	−	0.173992i
$101$	0.787755	+	5.47896i	0.0783846	+	0.545177i	0.990740	+	0.135776i	$0.0433529\pi$
$101$	0.787755	+	5.47896i	0.0783846	+	0.545177i	−0.912355	+	0.409400i	$0.865738\pi$
$102$	−1.90294	+	4.16685i	−0.188419	+	0.412580i
$103$	−6.01553	+	1.76632i	−0.592728	+	0.174041i	−0.564321	−	0.825556i	$-0.690862\pi$
$103$	−6.01553	+	1.76632i	−0.592728	+	0.174041i	−0.0284076	+	0.999596i	$0.509044\pi$
$104$	−21.9131	+	6.43428i	−2.14876	+	0.630933i
$105$	−0.984458	+	2.15566i	−0.0960732	+	0.210371i
$106$	−1.77149	−	12.3210i	−0.172062	−	1.19672i
$107$	−2.14712	−	2.47791i	−0.207570	−	0.239549i	0.642413	−	0.766359i	$-0.277933\pi$
$107$	−2.14712	−	2.47791i	−0.207570	−	0.239549i	−0.849983	+	0.526810i	$0.823388\pi$
$108$	1.55249	+	3.39949i	0.149389	+	0.327116i
$109$	−8.10461	+	5.20852i	−0.776281	+	0.498885i	−0.867797	−	0.496918i	$-0.834465\pi$
$109$	−8.10461	+	5.20852i	−0.776281	+	0.498885i	0.0915166	+	0.995804i	$0.470829\pi$
$110$	2.34319	−	16.2972i	0.223414	−	1.55388i
$111$	−5.11924	−	3.28994i	−0.485897	−	0.312267i
$112$	1.63214	−	1.88359i	0.154222	−	0.177982i
$113$	−4.82036	−	1.41539i	−0.453462	−	0.133148i	0.0470230	−	0.998894i	$-0.485027\pi$
$113$	−4.82036	−	1.41539i	−0.453462	−	0.133148i	−0.500485	+	0.865745i	$0.666845\pi$
$114$	17.1661			1.60775
$115$	0.0513493	−	11.3651i	0.00478835	−	1.05980i
$116$	8.77942			0.815148
$117$	−5.26624	−	1.54631i	−0.486864	−	0.142956i
$118$	−12.1185	+	13.9855i	−1.11560	+	1.28747i
$119$	1.60886	+	1.03395i	0.147484	+	0.0947823i
$120$	−1.40336	+	9.76058i	−0.128109	+	0.891015i
$121$	−2.17580	+	1.39830i	−0.197800	+	0.127119i
$122$	−11.4981	−	25.1773i	−1.04099	−	2.27945i
$123$	−3.87702	−	4.47432i	−0.349579	−	0.403436i
$124$	−0.457347	−	3.18092i	−0.0410710	−	0.285655i
$125$	−4.31583	+	9.45035i	−0.386020	+	0.845265i
$126$	2.29822	−	0.674819i	0.204742	−	0.0601177i
$127$	14.8599	−	4.36326i	1.31860	−	0.387177i	0.454615	−	0.890688i	$-0.349777\pi$
$127$	14.8599	−	4.36326i	1.31860	−	0.387177i	0.863989	+	0.503511i	$0.167959\pi$
$128$	−8.61187	+	18.8574i	−0.761189	+	1.66677i
$129$	0.233839	+	1.62638i	0.0205883	+	0.143195i
$130$	−20.4020	−	23.5452i	−1.78938	−	2.06505i
$131$	−1.51041	−	3.30734i	−0.131965	−	0.288964i	0.832102	−	0.554623i	$-0.187138\pi$
$131$	−1.51041	−	3.30734i	−0.131965	−	0.288964i	−0.964067	+	0.265660i	$0.914410\pi$
$132$	−9.11940	+	5.86068i	−0.793742	+	0.510107i
$133$	1.01993	−	7.09378i	0.0884392	−	0.615108i
$134$	24.8930	+	15.9978i	2.15043	+	1.38200i
$135$	−1.55190	+	1.79099i	−0.133566	+	0.154144i
$136$	7.63550	+	2.24199i	0.654739	+	0.192249i
$137$	6.37937			0.545026			0.272513	−	0.962152i	$-0.412145\pi$
$137$	6.37937			0.545026			0.272513	+	0.962152i	$0.412145\pi$
$138$	−8.71535	+	7.48322i	−0.741900	+	0.637014i
$139$	22.8926			1.94172			0.970861	−	0.239643i	$-0.0770303\pi$
$139$	22.8926			1.94172			0.970861	+	0.239643i	$0.0770303\pi$
$140$	8.49776	+	2.49517i	0.718192	+	0.210880i
$141$	−6.96852	+	8.04210i	−0.586855	+	0.677267i
$142$	−14.5638	−	9.35961i	−1.22217	−	0.785441i
$143$	2.26569	−	15.7582i	0.189466	−	1.31777i
$144$	2.09669	−	1.34746i	0.174724	−	0.112288i
$145$	2.31268	+	5.06405i	0.192057	+	0.420547i
$146$	−11.8758	−	13.7054i	−0.982845	−	1.13426i
$147$	−0.142315	−	0.989821i	−0.0117379	−	0.0816391i
$148$	−9.44733	+	20.6868i	−0.776566	+	1.70044i
$149$	5.30812	−	1.55861i	0.434858	−	0.127686i	−0.0569743	−	0.998376i	$-0.518145\pi$
$149$	5.30812	−	1.55861i	0.434858	−	0.127686i	0.491833	+	0.870690i	$0.336327\pi$
$150$	−1.41578	+	0.415711i	−0.115598	+	0.0339427i
$151$	−3.18325	+	6.97034i	−0.259049	+	0.567238i	−0.993811	−	0.111087i	$-0.964567\pi$
$151$	−3.18325	+	6.97034i	−0.259049	+	0.567238i	0.734762	+	0.678325i	$0.237294\pi$
$152$	−4.24399	−	29.5176i	−0.344233	−	2.39419i
$153$	1.25239	+	1.44534i	0.101250	+	0.116849i
$154$	2.88618	+	6.31986i	0.232575	+	0.509269i
$155$	1.71431	−	1.10172i	0.137697	−	0.0884924i
$156$	−2.91915	+	20.3032i	−0.233719	+	1.62555i
$157$	11.5264	+	7.40755i	0.919905	+	0.591187i	0.912630	−	0.408787i	$-0.134048\pi$
$157$	11.5264	+	7.40755i	0.919905	+	0.591187i	0.00727471	+	0.999974i	$0.497684\pi$
$158$	26.2048	−	30.2420i	2.08474	−	2.40592i
$159$	−4.98632	−	1.46412i	−0.395441	−	0.116112i
$160$	−5.57462			−0.440713
$161$	2.57457	+	4.04618i	0.202904	+	0.318884i
$162$	2.39525			0.188188
$163$	−6.60337	−	1.93892i	−0.517216	−	0.151868i	0.0126988	−	0.999919i	$-0.495958\pi$
$163$	−6.60337	−	1.93892i	−0.517216	−	0.151868i	−0.529914	+	0.848051i	$0.677776\pi$
$164$	−14.4893	+	16.7215i	−1.13142	+	1.30573i
$165$	−5.78273	−	3.71634i	−0.450185	−	0.289316i
$166$	−3.27793	+	22.7985i	−0.254416	+	1.76951i
$167$	14.0120	−	9.00497i	1.08428	−	0.696825i	0.128739	−	0.991679i	$-0.458907\pi$
$167$	14.0120	−	9.00497i	1.08428	−	0.696825i	0.955543	+	0.294853i	$0.0952707\pi$
$168$	−1.72857	−	3.78503i	−0.133362	−	0.292022i
$169$	−11.2141	−	12.9417i	−0.862620	−	0.995517i
$170$	1.54493	+	10.7452i	0.118490	+	0.824119i
$171$	2.97716	−	6.51908i	0.227669	−	0.498526i
$172$	5.89190	−	1.73002i	0.449254	−	0.131913i
$173$	−12.3994	+	3.64080i	−0.942712	+	0.276805i	−0.716749	−	0.697331i	$-0.754371\pi$
$173$	−12.3994	+	3.64080i	−0.942712	+	0.276805i	−0.225962	+	0.974136i	$0.572553\pi$
$174$	2.33749	−	5.11840i	0.177205	−	0.388025i
$175$	0.0876707	+	0.609763i	0.00662728	+	0.0460937i
$176$	4.73421	+	5.46357i	0.356855	+	0.411832i
$177$	3.20946	+	7.02773i	0.241238	+	0.528237i
$178$	−6.39501	+	4.10983i	−0.479327	+	0.308044i
$179$	3.37331	−	23.4619i	0.252133	−	1.75362i	−0.333224	−	0.942848i	$-0.608136\pi$
$179$	3.37331	−	23.4619i	0.252133	−	1.75362i	0.585357	−	0.810776i	$-0.300954\pi$
$180$	7.45057	+	4.78819i	0.555333	+	0.356891i
$181$	6.38526	−	7.36899i	0.474613	−	0.547733i	−0.467076	−	0.884217i	$-0.654693\pi$
$181$	6.38526	−	7.36899i	0.474613	−	0.547733i	0.941689	+	0.336485i	$0.109238\pi$
$182$	12.6140	+	3.70379i	0.935008	+	0.274543i
$183$	−11.5556			−0.854217
$184$	15.0223	+	13.1362i	1.10746	+	0.968416i
$185$	−14.4209			−1.06025
$186$	−1.97624	−	0.580277i	−0.144905	−	0.0425480i
$187$	−3.63272	+	4.19239i	−0.265651	+	0.306578i
$188$	33.4554	+	21.5005i	2.43999	+	1.56809i
$189$	0.142315	−	0.989821i	0.0103519	−	0.0719989i
$190$	34.2226	−	21.9935i	2.48277	−	1.59558i
$191$	−10.4731	−	22.9329i	−0.757808	−	1.65937i	−0.751804	−	0.659386i	$-0.770816\pi$
$191$	−10.4731	−	22.9329i	−0.757808	−	1.65937i	−0.00600353	−	0.999982i	$-0.501911\pi$
$192$	6.95405	+	8.02540i	0.501865	+	0.579183i
$193$	−1.97056	−	13.7056i	−0.141844	−	0.986548i	−0.929076	−	0.369890i	$-0.879395\pi$
$193$	−1.97056	−	13.7056i	−0.141844	−	0.986548i	0.787231	−	0.616658i	$-0.211514\pi$
$194$	2.48255	−	5.43602i	0.178236	−	0.390283i
$195$	−12.4800	+	3.66447i	−0.893713	+	0.262418i
$196$	−3.58583	+	1.05289i	−0.256131	+	0.0752068i
$197$	−9.34214	+	20.4564i	−0.665600	+	1.45746i	0.211611	+	0.977354i	$0.432129\pi$
$197$	−9.34214	+	20.4564i	−0.665600	+	1.45746i	−0.877210	+	0.480106i	$0.840598\pi$
$198$	0.988763	+	6.87700i	0.0702683	+	0.488727i
$199$	13.2299	+	15.2681i	0.937841	+	1.08233i	0.996462	+	0.0840459i	$0.0267842\pi$
$199$	13.2299	+	15.2681i	0.937841	+	1.08233i	−0.0586209	+	0.998280i	$0.518670\pi$
$200$	1.06485	+	2.33171i	0.0752966	+	0.164876i
$201$	10.3927	−	6.67896i	0.733042	−	0.471098i
$202$	1.88687	−	13.1235i	0.132760	−	0.923363i
$203$	−1.97626	−	1.27007i	−0.138706	−	0.0891412i
$204$	4.68046	−	5.40154i	0.327698	−	0.378184i
$205$	−13.4619	−	3.95277i	−0.940219	−	0.276073i
$206$	15.0170			1.04628
$207$	1.33034	+	4.60762i	0.0924649	+	0.320252i
$208$	13.6794			0.948494
$209$	19.9459	+	5.85665i	1.37969	+	0.405113i
$210$	3.71719	−	4.28986i	0.256510	−	0.296029i
$211$	10.8242	+	6.95627i	0.745166	+	0.478889i	0.857309	−	0.514803i	$-0.172135\pi$
$211$	10.8242	+	6.95627i	0.745166	+	0.478889i	−0.112142	+	0.993692i	$0.535771\pi$
$212$	−2.76399	+	19.2240i	−0.189832	+	1.32031i
$213$	−6.08031	+	3.90758i	−0.416616	+	0.267743i
$214$	3.26243	+	7.14372i	0.223015	+	0.488334i
$215$	2.54994	+	2.94279i	0.173904	+	0.200696i
$216$	−0.592180	−	4.11871i	−0.0402928	−	0.280242i
$217$	−0.357215	+	0.782193i	−0.0242494	+	0.0530987i
$218$	22.1410	−	6.50119i	1.49958	−	0.440316i
$219$	−7.26447	+	2.13304i	−0.490887	+	0.144138i
$220$	−10.6718	+	23.3679i	−0.719490	+	1.57546i
$221$	1.49383	+	10.3898i	0.100486	+	0.698894i
$222$	9.54505	+	11.0156i	0.640622	+	0.739317i
$223$	−7.96851	−	17.4486i	−0.533611	−	1.16844i	−0.964025	−	0.265813i	$-0.914360\pi$
$223$	−7.96851	−	17.4486i	−0.533611	−	1.16844i	0.430414	−	0.902632i	$-0.358368\pi$
$224$	1.97892	−	1.27177i	0.132222	−	0.0849739i
$225$	−0.0876707	+	0.609763i	−0.00584471	+	0.0406509i
$226$	10.1231	+	6.50575i	0.673381	+	0.432756i
$227$	−3.65366	+	4.21655i	−0.242502	+	0.279862i	−0.863933	−	0.503607i	$-0.832006\pi$
$227$	−3.65366	+	4.21655i	−0.242502	+	0.279862i	0.621431	+	0.783469i	$0.286552\pi$
$228$	−25.6987	−	7.54580i	−1.70193	−	0.499733i
$229$	−4.80673			−0.317637			−0.158819	−	0.987308i	$-0.550769\pi$
$229$	−4.80673			−0.317637			−0.158819	+	0.987308i	$0.550769\pi$
$230$	−7.78742	+	26.0850i	−0.513487	+	1.71999i
$231$	2.90062			0.190847
$232$	−9.37915	−	2.75397i	−0.615771	−	0.180807i
$233$	6.33983	−	7.31655i	0.415336	−	0.479323i	−0.509074	−	0.860723i	$-0.670012\pi$
$233$	6.33983	−	7.31655i	0.415336	−	0.479323i	0.924410	+	0.381399i	$0.124558\pi$
$234$	11.0595	+	7.10752i	0.722983	+	0.464633i
$235$	−3.58886	+	24.9611i	−0.234112	+	1.62828i
$236$	24.2898	−	15.6101i	1.58113	−	1.01613i
$237$	−6.94007	−	15.1966i	−0.450806	−	0.987127i
$238$	−2.99979	−	3.46195i	−0.194448	−	0.224405i
$239$	−0.948591	−	6.59759i	−0.0613592	−	0.426763i	−0.997228	−	0.0744128i	$-0.976292\pi$
$239$	−0.948591	−	6.59759i	−0.0613592	−	0.426763i	0.935868	−	0.352350i	$-0.114617\pi$
$240$	2.45360	−	5.37264i	0.158379	−	0.346803i
$241$	−4.04696	+	1.18829i	−0.260688	+	0.0765448i	−0.409465	−	0.912326i	$-0.634285\pi$
$241$	−4.04696	+	1.18829i	−0.260688	+	0.0765448i	0.148777	+	0.988871i	$0.452466\pi$
$242$	5.94409	−	1.74534i	0.382101	−	0.112195i
$243$	0.415415	−	0.909632i	0.0266489	−	0.0583529i
$244$	6.14599	+	42.7463i	0.393457	+	2.73655i
$245$	−1.55190	−	1.79099i	−0.0991473	−	0.114422i
$246$	5.89091	+	12.8993i	0.375590	+	0.822428i
$247$	33.0907	−	21.2661i	2.10551	−	1.35313i
$248$	−0.509216	+	3.54167i	−0.0323352	+	0.224897i
$249$	8.08957	+	5.19885i	0.512656	+	0.329464i
$250$	16.2960	−	18.8066i	1.03065	−	1.18943i
$251$	26.3396	+	7.73399i	1.66254	+	0.488165i	0.971971	−	0.235102i	$-0.0755425\pi$
$251$	26.3396	+	7.73399i	1.66254	+	0.488165i	0.690568	+	0.723268i	$0.257361\pi$
$252$	−3.73721			−0.235422
$253$	−12.6798	+	5.72157i	−0.797171	+	0.359712i
$254$	−37.0958			−2.32760
$255$	4.34859	+	1.27686i	0.272319	+	0.0799602i
$256$	18.6092	−	21.4762i	1.16308	−	1.34226i
$257$	5.42922	+	3.48915i	0.338665	+	0.217647i	0.698908	−	0.715212i	$-0.253670\pi$
$257$	5.42922	+	3.48915i	0.338665	+	0.217647i	−0.360243	+	0.932859i	$0.617306\pi$
$258$	0.560101	−	3.89559i	0.0348704	−	0.242529i
$259$	5.11924	−	3.28994i	0.318094	−	0.204427i
$260$	20.1931	+	44.2168i	1.25233	+	2.74221i
$261$	−1.53839	−	1.77540i	−0.0952240	−	0.109894i
$262$	1.23941	+	8.62026i	0.0765708	+	0.532562i
$263$	−4.76624	+	10.4366i	−0.293899	+	0.643549i	−0.997768	−	0.0667814i	$-0.978727\pi$
$263$	−4.76624	+	10.4366i	−0.293899	+	0.643549i	0.703869	+	0.710330i	$0.251454\pi$
$264$	11.5808	−	3.40042i	0.712746	−	0.209281i
$265$	−11.8167	+	3.46969i	−0.725892	+	0.213141i
$266$	−7.13105	+	15.6148i	−0.437233	+	0.957406i
$267$	0.451663	+	3.14138i	0.0276413	+	0.192250i
$268$	−30.2341	−	34.8920i	−1.84684	−	2.13137i
$269$	−4.42909	−	9.69836i	−0.270047	−	0.591320i	0.725218	−	0.688519i	$-0.241739\pi$
$269$	−4.42909	−	9.69836i	−0.270047	−	0.591320i	−0.995265	+	0.0971993i	$0.969012\pi$
$270$	4.77521	−	3.06884i	0.290610	−	0.186764i
$271$	4.33978	−	30.1838i	0.263623	−	1.83354i	−0.241393	−	0.970427i	$-0.577604\pi$
$271$	4.33978	−	30.1838i	0.263623	−	1.83354i	0.505016	−	0.863110i	$-0.331487\pi$
$272$	−4.00983	−	2.57696i	−0.243132	−	0.156251i
$273$	3.59425	−	4.14798i	0.217534	−	0.251047i
$274$	−14.6612	−	4.30492i	−0.885716	−	0.260070i
$275$	−1.78688			−0.107753
$276$	16.3369	−	7.37177i	0.983363	−	0.443728i
$277$	1.65187			0.0992510			0.0496255	−	0.998768i	$-0.484197\pi$
$277$	1.65187			0.0992510			0.0496255	+	0.998768i	$0.484197\pi$
$278$	−52.6122	−	15.4483i	−3.15547	−	0.926530i
$279$	−0.563115	+	0.649869i	−0.0337128	+	0.0389066i
$280$	−8.29556	−	5.33123i	−0.495754	−	0.318602i
$281$	0.398776	−	2.77355i	0.0237890	−	0.165456i	−0.974464	−	0.224545i	$-0.927910\pi$
$281$	0.398776	−	2.77355i	0.0237890	−	0.165456i	0.998253	+	0.0590890i	$0.0188196\pi$
$282$	21.4422	−	13.7801i	1.27686	−	0.820591i
$283$	−3.17150	−	6.94463i	−0.188526	−	0.412815i	0.791641	−	0.610986i	$-0.209227\pi$
$283$	−3.17150	−	6.94463i	−0.188526	−	0.412815i	−0.980167	+	0.198171i	$0.936500\pi$
$284$	17.6887	+	20.4138i	1.04963	+	1.21134i
$285$	−2.41705	−	16.8109i	−0.143174	−	0.995795i
$286$	−15.8410	+	34.6870i	−0.936699	+	2.05108i
$287$	5.68056	−	1.66796i	0.335313	−	0.0984568i
$288$	2.25706	−	0.662732i	0.132998	−	0.0390518i
$289$	−5.54268	+	12.1368i	−0.326040	+	0.713928i
$290$	−1.89772	−	13.1990i	−0.111438	−	0.775070i
$291$	−1.63386	−	1.88557i	−0.0957783	−	0.110534i
$292$	11.7542	+	25.7381i	0.687861	+	1.50621i
$293$	−1.60647	+	1.03242i	−0.0938509	+	0.0603143i	−0.586725	−	0.809787i	$-0.699583\pi$
$293$	−1.60647	+	1.03242i	−0.0938509	+	0.0603143i	0.492874	+	0.870101i	$0.335946\pi$
$294$	−0.340879	+	2.37087i	−0.0198805	+	0.138272i
$295$	15.4025	+	9.89858i	0.896768	+	0.576318i
$296$	16.5818	−	19.1364i	0.963797	−	1.11228i
$297$	2.78313	+	0.817200i	0.161493	+	0.0474188i
$298$	−13.2510			−0.767612
$299$	−7.52986	+	25.2222i	−0.435463	+	1.45864i
$300$	2.30225			0.132920
$301$	−1.57655	−	0.462917i	−0.0908708	−	0.0266821i
$302$	12.0195	−	13.8713i	0.691647	−	0.798203i
$303$	−4.65659	−	2.99261i	−0.267514	−	0.171921i
$304$	−2.54202	+	17.6801i	−0.145795	+	1.01402i
$305$	−23.0375	+	14.8053i	−1.31912	+	0.847749i
$306$	−1.90294	−	4.16685i	−0.108784	−	0.238203i
$307$	−22.4172	−	25.8709i	−1.27942	−	1.47653i	−0.801337	−	0.598213i	$-0.795878\pi$
$307$	−22.4172	−	25.8709i	−1.27942	−	1.47653i	−0.478082	−	0.878315i	$-0.658668\pi$
$308$	−1.54273	−	10.7299i	−0.0879051	−	0.611393i
$309$	2.60444	−	5.70293i	0.148161	−	0.324428i
$310$	−4.68333	+	1.37515i	−0.265995	+	0.0781033i
$311$	−17.6618	+	5.18599i	−1.00151	+	0.294070i	−0.741076	−	0.671421i	$-0.765684\pi$
$311$	−17.6618	+	5.18599i	−1.00151	+	0.294070i	−0.260435	+	0.965491i	$0.583866\pi$
$312$	9.48735	−	20.7744i	0.537115	−	1.17612i
$313$	−4.23601	−	29.4621i	−0.239433	−	1.66529i	−0.654922	−	0.755696i	$-0.727299\pi$
$313$	−4.23601	−	29.4621i	−0.239433	−	1.66529i	0.415489	−	0.909598i	$-0.363611\pi$
$314$	−21.4914	−	24.8024i	−1.21283	−	1.39968i
$315$	−0.984458	−	2.15566i	−0.0554679	−	0.121458i
$316$	−52.5238	+	33.7550i	−2.95470	+	1.89887i
$317$	−0.220180	+	1.53139i	−0.0123666	+	0.0860113i	−0.995070	−	0.0991748i	$-0.968380\pi$
$317$	−0.220180	+	1.53139i	−0.0123666	+	0.0860113i	0.982703	+	0.185186i	$0.0592888\pi$
$318$	10.4717	+	6.72973i	0.587222	+	0.377385i
$319$	4.46229	−	5.14976i	0.249840	−	0.288331i
$320$	24.1460	+	7.08991i	1.34980	+	0.396338i
$321$	3.27875			0.183002
$322$	−3.18649	−	11.0364i	−0.177576	−	0.615035i
$323$	−13.7061			−0.762625
$324$	−3.58583	−	1.05289i	−0.199213	−	0.0584942i
$325$	−2.21417	+	2.55529i	−0.122820	+	0.141742i
$326$	13.8676	+	8.91216i	0.768055	+	0.493599i
$327$	1.37106	−	9.53591i	0.0758196	−	0.527337i
$328$	20.7243	−	13.3187i	1.14431	−	0.735403i
$329$	−4.42053	−	9.67960i	−0.243711	−	0.533654i
$330$	10.7822	+	12.4433i	0.593538	+	0.684980i
$331$	−0.590682	−	4.10828i	−0.0324668	−	0.225812i	0.967128	−	0.254292i	$-0.0818424\pi$
$331$	−0.590682	−	4.10828i	−0.0324668	−	0.225812i	−0.999594	+	0.0284801i	$0.990933\pi$
$332$	14.9289	−	32.6898i	0.819332	−	1.79409i
$333$	5.83876	−	1.71441i	0.319962	−	0.0939493i
$334$	−38.2795	+	11.2399i	−2.09456	+	0.615018i
$335$	12.1618	−	26.6306i	0.664469	−	1.45498i
$336$	0.354697	+	2.46697i	0.0193503	+	0.134584i
$337$	−0.133843	−	0.154463i	−0.00729089	−	0.00841413i	0.752092	−	0.659058i	$-0.229045\pi$
$337$	−0.133843	−	0.154463i	−0.00729089	−	0.00841413i	−0.759383	+	0.650644i	$0.774499\pi$
$338$	17.0391	+	37.3104i	0.926805	+	2.02942i
$339$	4.22634	−	2.71611i	0.229543	−	0.147519i
$340$	2.41049	−	16.7653i	0.130727	−	0.909227i
$341$	−2.09829	−	1.34849i	−0.113629	−	0.0730249i
$342$	−11.2414	+	12.9733i	−0.607865	+	0.701513i
$343$	0.959493	+	0.281733i	0.0518078	+	0.0152121i
$344$	−6.83707			−0.368630
$345$	8.55556	+	7.48138i	0.460616	+	0.402784i
$346$	30.9536			1.66407
$347$	17.1370	+	5.03186i	0.919960	+	0.270125i	0.707228	−	0.706986i	$-0.249946\pi$
$347$	17.1370	+	5.03186i	0.919960	+	0.270125i	0.212732	+	0.977111i	$0.431764\pi$
$348$	−5.74929	+	6.63504i	−0.308195	+	0.355675i
$349$	−7.15069	−	4.59547i	−0.382767	−	0.245990i	0.335081	−	0.942189i	$-0.391236\pi$
$349$	−7.15069	−	4.59547i	−0.382767	−	0.245990i	−0.717848	+	0.696200i	$0.754873\pi$
$350$	0.209993	−	1.46053i	0.0112246	−	0.0780688i
$351$	4.61727	−	2.96734i	0.246452	−	0.158385i
$352$	2.83449	+	6.20666i	0.151079	+	0.330816i
$353$	19.7409	+	22.7822i	1.05070	+	1.21258i	0.976542	+	0.215329i	$0.0690824\pi$
$353$	19.7409	+	22.7822i	1.05070	+	1.21258i	0.0741608	+	0.997246i	$0.476372\pi$
$354$	−2.63360	−	18.3171i	−0.139974	−	0.973543i
$355$	−7.11534	+	15.5804i	−0.377643	+	0.826923i
$356$	11.3803	−	3.34156i	0.603155	−	0.177102i
$357$	−1.83499	+	0.538802i	−0.0971180	+	0.0285164i
$358$	−23.5852	+	51.6443i	−1.24651	+	2.72949i
$359$	−1.27518	−	8.86907i	−0.0673014	−	0.468091i	−0.995404	−	0.0957665i	$-0.969470\pi$
$359$	−1.27518	−	8.86907i	−0.0673014	−	0.468091i	0.928102	−	0.372325i	$-0.121439\pi$
$360$	−6.45755	−	7.45241i	−0.340343	−	0.392776i
$361$	13.4436	+	29.4374i	0.707559	+	1.54934i
$362$	−19.6475	+	12.6267i	−1.03265	+	0.663644i
$363$	0.368081	−	2.56006i	0.0193192	−	0.134368i
$364$	−17.2557	−	11.0896i	−0.904447	−	0.581253i
$365$	−11.7497	+	13.5599i	−0.615006	+	0.709755i
$366$	26.5574	+	7.79796i	1.38818	+	0.407606i
$367$	16.7066			0.872079			0.436039	−	0.899928i	$-0.356381\pi$
$367$	16.7066			0.872079			0.436039	+	0.899928i	$0.356381\pi$
$368$	−6.41670	−	10.0845i	−0.334494	−	0.525689i
$369$	5.92038			0.308203
$370$	33.1426	+	9.73153i	1.72300	+	0.505918i
$371$	3.40320	−	3.92750i	0.176685	−	0.203906i
$372$	2.70348	+	1.73742i	0.140169	+	0.0900810i
$373$	−4.06248	+	28.2552i	−0.210347	+	1.46300i	0.561651	+	0.827374i	$0.310166\pi$
$373$	−4.06248	+	28.2552i	−0.210347	+	1.46300i	−0.771999	+	0.635624i	$0.780743\pi$
$374$	11.1779	−	7.18361i	0.577996	−	0.371456i
$375$	−4.31583	−	9.45035i	−0.222868	−	0.488014i
$376$	−28.9964	−	33.4637i	−1.49538	−	1.72576i
$377$	−1.83496	−	12.7624i	−0.0945053	−	0.657299i
$378$	−0.995022	+	2.17879i	−0.0511784	+	0.112065i
$379$	−8.89850	+	2.61284i	−0.457085	+	0.134212i	−0.502166	−	0.864771i	$-0.667464\pi$
$379$	−8.89850	+	2.61284i	−0.457085	+	0.134212i	0.0450812	+	0.998983i	$0.485645\pi$
$380$	−60.9011	+	17.8822i	−3.12416	+	0.917336i
$381$	−6.43364	+	14.0877i	−0.329605	+	0.721735i
$382$	8.59398	+	59.7725i	0.439706	+	3.05822i
$383$	−11.1172	−	12.8299i	−0.568060	−	0.655577i	0.396934	−	0.917847i	$-0.370074\pi$
$383$	−11.1172	−	12.8299i	−0.568060	−	0.655577i	−0.964994	+	0.262271i	$0.915529\pi$
$384$	−8.61187	−	18.8574i	−0.439473	−	0.962311i
$385$	5.78273	−	3.71634i	0.294715	−	0.189402i
$386$	−4.71999	+	32.8282i	−0.240241	+	1.67091i
$387$	−1.38227	−	0.888331i	−0.0702647	−	0.0451564i
$388$	−6.10607	+	7.04678i	−0.309989	+	0.357746i
$389$	−12.7283	−	3.73736i	−0.645349	−	0.189492i	−0.0573514	−	0.998354i	$-0.518266\pi$
$389$	−12.7283	−	3.73736i	−0.645349	−	0.189492i	−0.587998	+	0.808862i	$0.700084\pi$
$390$	31.1547			1.57758
$391$	6.95867	−	5.97489i	0.351915	−	0.302163i
$392$	4.16106			0.210165
$393$	3.48863	+	1.02435i	0.175978	+	0.0516718i
$394$	35.2747	−	40.7092i	1.77711	−	2.05090i
$395$	−33.3061	−	21.4045i	−1.67581	−	1.07698i
$396$	1.54273	−	10.7299i	0.0775250	−	0.539198i
$397$	−18.4954	+	11.8863i	−0.928258	+	0.596555i	−0.915043	−	0.403357i	$-0.867843\pi$
$397$	−18.4954	+	11.8863i	−0.928258	+	0.596555i	−0.0132156	+	0.999913i	$0.504207\pi$
$398$	−20.1020	−	44.0173i	−1.00762	−	2.20639i
$399$	4.69320	+	5.41625i	0.234954	+	0.271152i
$400$	−0.218505	−	1.51974i	−0.0109253	−	0.0759868i
$401$	8.94615	−	19.5893i	0.446749	−	0.978245i	−0.543561	−	0.839370i	$-0.682924\pi$
$401$	8.94615	−	19.5893i	0.446749	−	0.978245i	0.990310	−	0.138875i	$-0.0443486\pi$
$402$	−28.3918	+	8.33657i	−1.41605	+	0.415791i
$403$	−4.52844	+	1.32967i	−0.225578	+	0.0662356i
$404$	−8.59352	+	18.8172i	−0.427544	+	0.936190i
$405$	−0.337260	−	2.34570i	−0.0167586	−	0.116559i
$406$	3.68483	+	4.25252i	0.182875	+	0.211049i
$407$	7.33251	+	16.0559i	0.363459	+	0.795864i
$408$	−6.69457	+	4.30234i	−0.331431	+	0.212998i
$409$	1.68819	−	11.7416i	0.0834758	−	0.580587i	−0.904558	−	0.426350i	$-0.859799\pi$
$409$	1.68819	−	11.7416i	0.0834758	−	0.580587i	0.988034	−	0.154237i	$-0.0492918\pi$
$410$	28.2710	+	18.1687i	1.39621	+	0.897288i
$411$	−4.17760	+	4.82120i	−0.206066	+	0.237812i
$412$	−22.4813	−	6.60112i	−1.10758	−	0.325214i
$413$	−7.72591			−0.380167
$414$	0.0519003	−	11.4871i	0.00255076	−	0.564560i
$415$	22.7884			1.11864
$416$	12.3880	+	3.63745i	0.607372	+	0.178340i
$417$	−14.9914	+	17.3010i	−0.734134	+	0.847236i
$418$	−41.8880	−	26.9198i	−2.04881	−	1.31669i
$419$	1.08240	−	7.52827i	0.0528788	−	0.367780i	−0.946150	−	0.323727i	$-0.895064\pi$
$419$	1.08240	−	7.52827i	0.0528788	−	0.367780i	0.999029	−	0.0440527i	$-0.0140269\pi$
$420$	−7.45057	+	4.78819i	−0.363551	+	0.233640i
$421$	−16.4854	−	36.0979i	−0.803447	−	1.75930i	−0.633332	−	0.773880i	$-0.718313\pi$
$421$	−16.4854	−	36.0979i	−0.803447	−	1.75930i	−0.170115	−	0.985424i	$-0.554414\pi$
$422$	−20.1821	−	23.2914i	−0.982450	−	1.13381i
$423$	−1.51440	−	10.5329i	−0.0736329	−	0.512128i
$424$	8.98306	−	19.6702i	0.436256	−	0.955268i
$425$	1.13041	−	0.331920i	0.0548332	−	0.0161005i
$426$	16.6108	−	4.87737i	0.804797	−	0.236310i
$427$	4.80038	−	10.5114i	0.232307	−	0.508681i
$428$	−1.74384	−	12.1287i	−0.0842916	−	0.586261i
$429$	10.4256	+	12.0317i	0.503350	+	0.580897i
$430$	−3.87448	−	8.48393i	−0.186844	−	0.409131i
$431$	−25.4933	+	16.3836i	−1.22797	+	0.789169i	−0.983574	−	0.180506i	$-0.942226\pi$
$431$	−25.4933	+	16.3836i	−1.22797	+	0.789169i	−0.244397	+	0.969675i	$0.578590\pi$
$432$	−0.354697	+	2.46697i	−0.0170654	+	0.118692i
$433$	5.73963	+	3.68864i	0.275829	+	0.177265i	0.671241	−	0.741239i	$-0.265762\pi$
$433$	5.73963	+	3.68864i	0.275829	+	0.177265i	−0.395412	+	0.918504i	$0.629398\pi$
$434$	1.34880	−	1.55660i	0.0647445	−	0.0747191i
$435$	−5.34164	−	1.56845i	−0.256112	−	0.0752012i
$436$	−36.0042			−1.72429
$437$	−31.1996	−	14.4191i	−1.49248	−	0.689758i
$438$	18.1348			0.866514
$439$	7.65263	+	2.24702i	0.365240	+	0.107244i	0.459203	−	0.888332i	$-0.348135\pi$
$439$	7.65263	+	2.24702i	0.365240	+	0.107244i	−0.0939624	+	0.995576i	$0.529953\pi$
$440$	18.7309	−	21.6166i	0.892961	−	1.03053i
$441$	0.841254	+	0.540641i	0.0400597	+	0.0257448i
$442$	3.57809	−	24.8862i	0.170192	−	1.18371i
$443$	0.230259	−	0.147979i	0.0109399	−	0.00703068i	−0.535159	−	0.844751i	$-0.679748\pi$
$443$	0.230259	−	0.147979i	0.0109399	−	0.00703068i	0.546099	+	0.837720i	$0.316112\pi$
$444$	−9.44733	−	20.6868i	−0.448350	−	0.981750i
$445$	4.92524	+	5.68404i	0.233479	+	0.269449i
$446$	6.53876	+	45.4781i	0.309619	+	2.15345i
$447$	−2.29817	+	5.03228i	−0.108700	+	0.238019i
$448$	−10.1890	+	2.99175i	−0.481384	+	0.141347i
$449$	6.76612	−	1.98671i	0.319313	−	0.0937588i	−0.118148	−	0.992996i	$-0.537696\pi$
$449$	6.76612	−	1.98671i	0.319313	−	0.0937588i	0.437461	+	0.899237i	$0.355878\pi$
$450$	0.612967	−	1.34221i	0.0288955	−	0.0632724i
$451$	2.44394	+	16.9980i	0.115081	+	0.800404i
$452$	−12.2952	−	14.1894i	−0.578316	−	0.667413i
$453$	−3.18325	−	6.97034i	−0.149562	−	0.327495i
$454$	11.2423	−	7.22502i	0.527629	−	0.339087i
$455$	1.85107	−	12.8745i	0.0867797	−	0.603566i
$456$	25.0871	+	16.1225i	1.17481	+	0.755007i
$457$	−6.13292	+	7.07777i	−0.286886	+	0.331084i	−0.880839	−	0.473415i	$-0.843021\pi$
$457$	−6.13292	+	7.07777i	−0.286886	+	0.331084i	0.593953	+	0.804500i	$0.297566\pi$
$458$	11.0469	+	3.24367i	0.516189	+	0.151567i
$459$	−1.91246			−0.0892659
$460$	23.1246	−	35.6276i	1.07819	−	1.66114i
$461$	−20.1498			−0.938470			−0.469235	−	0.883073i	$-0.655470\pi$
$461$	−20.1498			−0.938470			−0.469235	+	0.883073i	$0.655470\pi$
$462$	−6.66628	−	1.95740i	−0.310143	−	0.0910663i
$463$	0.257017	−	0.296614i	0.0119446	−	0.0137848i	−0.749746	−	0.661726i	$-0.769824\pi$
$463$	0.257017	−	0.296614i	0.0119446	−	0.0137848i	0.761690	+	0.647941i	$0.224370\pi$
$464$	4.92552	+	3.16544i	0.228661	+	0.146952i
$465$	−0.290010	+	2.01706i	−0.0134489	+	0.0935391i
$466$	−19.5077	+	12.5368i	−0.903677	+	0.580758i
$467$	13.4175	+	29.3801i	0.620886	+	1.35955i	0.914873	+	0.403741i	$0.132290\pi$
$467$	13.4175	+	29.3801i	0.620886	+	1.35955i	−0.293987	+	0.955809i	$0.594982\pi$
$468$	−13.4325	−	15.5019i	−0.620916	−	0.716575i
$469$	1.75813	+	12.2280i	0.0811828	+	0.564639i
$470$	25.0922	−	54.9443i	1.15742	−	2.53439i
$471$	−13.1464	+	3.86014i	−0.605755	+	0.177866i
$472$	−30.8457	+	9.05712i	−1.41979	+	0.416888i
$473$	1.97988	−	4.33534i	0.0910351	−	0.199339i
$474$	5.69485	+	39.6086i	0.261573	+	1.81928i
$475$	−2.89117	−	3.33659i	−0.132656	−	0.153093i
$476$	2.96908	+	6.50138i	0.136088	+	0.297990i
$477$	4.37185	−	2.80962i	0.200173	−	0.128644i
$478$	−2.27211	+	15.8029i	−0.103924	+	0.722807i
$479$	−27.9997	−	17.9943i	−1.27934	−	0.822182i	−0.288533	−	0.957470i	$-0.593168\pi$
$479$	−27.9997	−	17.9943i	−1.27934	−	0.822182i	−0.990806	+	0.135288i	$0.956804\pi$
$480$	3.65060	−	4.21302i	0.166626	−	0.192297i
$481$	32.0464	+	9.40968i	1.46119	+	0.429044i
$482$	10.1027			0.460166
$483$	−4.74388	−	0.703959i	−0.215854	−	0.0320312i
$484$	−9.66587			−0.439358
$485$	−5.67311	−	1.66578i	−0.257603	−	0.0756390i
$486$	−1.56855	+	1.81021i	−0.0711511	+	0.0821127i
$487$	26.9867	+	17.3433i	1.22289	+	0.785901i	0.982768	−	0.184843i	$-0.0591777\pi$
$487$	26.9867	+	17.3433i	1.22289	+	0.785901i	0.240117	+	0.970744i	$0.422814\pi$
$488$	6.84302	−	47.5942i	0.309769	−	2.15449i
$489$	5.78963	−	3.72077i	0.261816	−	0.168259i
$490$	2.35802	+	5.16334i	0.106524	+	0.233256i
$491$	24.7425	+	28.5544i	1.11661	+	1.28864i	0.953286	+	0.302068i	$0.0976769\pi$
$491$	24.7425	+	28.5544i	1.11661	+	1.28864i	0.163327	+	0.986572i	$0.447778\pi$
$492$	−3.14882	−	21.9005i	−0.141960	−	0.987351i
$493$	−1.86634	+	4.08672i	−0.0840559	+	0.184057i
$494$	−90.4007	+	26.5440i	−4.06732	+	1.19427i
$495$	6.59550	−	1.93661i	0.296446	−	0.0870444i
$496$	0.890302	−	1.94949i	0.0399758	−	0.0875347i
$497$	−1.02861	−	7.15411i	−0.0461393	−	0.320906i
$498$	−15.0834	−	17.4071i	−0.675901	−	0.780032i
$499$	0.823107	+	1.80235i	0.0368473	+	0.0806844i	0.927161	−	0.374664i	$-0.122242\pi$
$499$	0.823107	+	1.80235i	0.0368473	+	0.0806844i	−0.890313	+	0.455348i	$0.849515\pi$
$500$	−32.6631	+	20.9913i	−1.46074	+	0.938759i
$501$	−2.37041	+	16.4866i	−0.105902	+	0.736566i
$502$	−55.3152	−	35.5489i	−2.46884	−	1.58662i
$503$	−5.80245	+	6.69639i	−0.258719	+	0.298577i	−0.870217	−	0.492668i	$-0.836022\pi$
$503$	−5.80245	+	6.69639i	−0.258719	+	0.298577i	0.611499	+	0.791246i	$0.290567\pi$
$504$	3.99251	+	1.17231i	0.177840	+	0.0522186i
$505$	−13.1176			−0.583727
$506$	33.0020	−	4.59288i	1.46712	−	0.204178i
$507$	17.1243			0.760519
$508$	55.5347	+	16.3065i	2.46395	+	0.723482i
$509$	6.95123	−	8.02214i	0.308108	−	0.355575i	−0.580486	−	0.814270i	$-0.697137\pi$
$509$	6.95123	−	8.02214i	0.308108	−	0.355575i	0.888594	+	0.458695i	$0.151683\pi$
$510$	−9.13239	−	5.86903i	−0.404389	−	0.259885i
$511$	1.07749	−	7.49409i	0.0476653	−	0.331519i
$512$	−22.3810	+	14.3834i	−0.989111	+	0.635663i
$513$	2.97716	+	6.51908i	0.131445	+	0.287824i
$514$	−10.1230	−	11.6826i	−0.446507	−	0.515297i
$515$	−2.11445	−	14.7063i	−0.0931738	−	0.648038i
$516$	−2.55092	+	5.58573i	−0.112298	+	0.245898i
$517$	29.6159	−	8.69601i	1.30251	−	0.382450i
$518$	−13.9853	+	4.10645i	−0.614478	+	0.180427i
$519$	5.36837	−	11.7551i	0.235645	−	0.515991i
$520$	−7.70243	−	53.5716i	−0.337774	−	2.34927i
$521$	−2.95226	−	3.40709i	−0.129341	−	0.149268i	0.687385	−	0.726293i	$-0.258759\pi$
$521$	−2.95226	−	3.40709i	−0.129341	−	0.149268i	−0.816726	+	0.577026i	$0.804213\pi$
$522$	2.33749	+	5.11840i	0.102309	+	0.224026i
$523$	18.1817	−	11.6847i	0.795031	−	0.510935i	−0.0789600	−	0.996878i	$-0.525160\pi$
$523$	18.1817	−	11.6847i	0.795031	−	0.510935i	0.873991	+	0.485943i	$0.161524\pi$
$524$	1.93380	−	13.4499i	0.0844784	−	0.587560i
$525$	−0.518240	−	0.333053i	−0.0226179	−	0.0145356i
$526$	17.9967	−	20.7693i	0.784694	−	0.905585i
$527$	1.57791	+	0.463316i	0.0687348	+	0.0201823i
$528$	−7.22934			−0.314617
$529$	22.1260	−	6.28017i	0.962000	−	0.273051i
$530$	29.4988			1.28134
$531$	−7.41295	−	2.17664i	−0.321695	−	0.0944581i
$532$	17.5395	−	20.2417i	0.760434	−	0.877588i
$533$	27.3360	+	17.5678i	1.18405	+	0.760945i
$534$	1.08184	−	7.52439i	0.0468160	−	0.325612i
$535$	6.53657	−	4.20080i	0.282600	−	0.181616i
$536$	21.3543	+	46.7595i	0.922367	+	2.01970i
$537$	15.5223	+	17.9136i	0.669835	+	0.773031i
$538$	3.63441	+	25.2778i	0.156690	+	1.08981i
$539$	−1.20496	+	2.63850i	−0.0519014	+	0.113648i
$540$	−8.49776	+	2.49517i	−0.365685	+	0.107375i
$541$	7.68361	−	2.25611i	0.330344	−	0.0969978i	−0.112355	−	0.993668i	$-0.535839\pi$
$541$	7.68361	−	2.25611i	0.330344	−	0.0969978i	0.442699	+	0.896670i	$0.354021\pi$
$542$	−30.3424	+	66.4406i	−1.30332	+	2.85387i
$543$	1.38765	+	9.65132i	0.0595498	+	0.414178i
$544$	−2.94606	−	3.39993i	−0.126311	−	0.145771i
$545$	−9.48423	−	20.7676i	−0.406260	−	0.889585i
$546$	−11.0595	+	7.10752i	−0.473304	+	0.304174i
$547$	−1.08472	+	7.54440i	−0.0463793	+	0.322575i	0.953403	+	0.301700i	$0.0975542\pi$
$547$	−1.08472	+	7.54440i	−0.0463793	+	0.322575i	−0.999782	+	0.0208748i	$0.993355\pi$
$548$	20.0564	+	12.8894i	0.856766	+	0.550610i
$549$	7.56733	−	8.73316i	0.322966	−	0.372722i
$550$	4.10665	+	1.20582i	0.175108	+	0.0514164i
$551$	16.8360			0.717237
$552$	−19.7652	+	2.75072i	−0.841265	+	0.117079i
$553$	16.7064			0.710426
$554$	−3.79636	−	1.11471i	−0.161292	−	0.0473595i
$555$	9.44371	−	10.8986i	0.400863	−	0.462621i
$556$	71.9730	+	46.2542i	3.05233	+	1.96162i
$557$	−6.30859	+	43.8772i	−0.267304	+	1.85914i	0.206419	+	0.978464i	$0.433819\pi$
$557$	−6.30859	+	43.8772i	−0.267304	+	1.85914i	−0.473722	+	0.880674i	$0.657090\pi$
$558$	1.73271	−	1.11354i	0.0733514	−	0.0471401i
$559$	−3.74634	−	8.20334i	−0.158453	−	0.346964i
$560$	3.86786	+	4.46375i	0.163447	+	0.188628i
$561$	−0.789466	−	5.49086i	−0.0333313	−	0.231824i
$562$	−2.78812	+	6.10513i	−0.117610	+	0.257529i
$563$	35.4918	−	10.4213i	1.49580	−	0.439207i	0.571413	−	0.820662i	$-0.306395\pi$
$563$	35.4918	−	10.4213i	1.49580	−	0.439207i	0.924387	+	0.381456i	$0.124577\pi$
$564$	−38.1576	+	11.2041i	−1.60673	+	0.471777i
$565$	4.94578	−	10.8297i	0.208071	−	0.455611i
$566$	2.60246	+	18.1005i	0.109389	+	0.760821i
$567$	0.654861	+	0.755750i	0.0275016	+	0.0317385i
$568$	−12.4935	−	27.3570i	−0.524216	−	1.14787i
$569$	2.26822	−	1.45769i	0.0950886	−	0.0611097i	−0.492232	−	0.870464i	$-0.663819\pi$
$569$	2.26822	−	1.45769i	0.0950886	−	0.0611097i	0.587321	+	0.809354i	$0.300183\pi$
$570$	−5.78943	+	40.2664i	−0.242493	+	1.68657i
$571$	−32.5366	−	20.9100i	−1.36161	−	0.875055i	−0.363219	−	0.931704i	$-0.618322\pi$
$571$	−32.5366	−	20.9100i	−1.36161	−	0.875055i	−0.998394	+	0.0566485i	$0.981959\pi$
$572$	38.9625	−	44.9652i	1.62911	−	1.88009i
$573$	24.1900	+	7.10282i	1.01055	+	0.296725i
$574$	−14.1808			−0.591894
$575$	2.92239	+	0.433662i	0.121872	+	0.0180849i
$576$	−10.6191			−0.442464
$577$	27.4435	+	8.05814i	1.14249	+	0.335465i	0.797604	−	0.603181i	$-0.206100\pi$
$577$	27.4435	+	8.05814i	1.14249	+	0.335465i	0.344883	+	0.938646i	$0.387918\pi$
$578$	20.9284	−	24.1527i	0.870508	−	1.00462i
$579$	11.6484	+	7.48598i	0.484092	+	0.311107i
$580$	−2.96095	+	20.5938i	−0.122947	+	0.855113i
$581$	−8.08957	+	5.19885i	−0.335612	+	0.215685i
$582$	2.48255	+	5.43602i	0.102905	+	0.225330i
$583$	9.87140	+	11.3922i	0.408832	+	0.471817i
$584$	−4.48349	−	31.1834i	−0.185528	−	1.29038i
$585$	5.40326	−	11.8315i	0.223397	−	0.489172i
$586$	4.38872	−	1.28864i	0.181296	−	0.0532334i
$587$	−36.9049	+	10.8363i	−1.52323	+	0.447260i	−0.932970	−	0.359954i	$-0.882792\pi$
$587$	−36.9049	+	10.8363i	−1.52323	+	0.447260i	−0.590259	+	0.807214i	$0.700974\pi$
$588$	1.55249	−	3.39949i	0.0640238	−	0.140193i
$589$	−0.877039	−	6.09994i	−0.0361377	−	0.251344i
$590$	−28.7186	−	33.1431i	−1.18233	−	1.36448i
$591$	−9.34214	−	20.4564i	−0.384284	−	0.841465i
$592$	−12.7589	+	8.19964i	−0.524387	+	0.337003i
$593$	3.46061	−	24.0690i	0.142110	−	0.988397i	−0.786566	−	0.617506i	$-0.788143\pi$
$593$	3.46061	−	24.0690i	0.142110	−	0.988397i	0.928676	−	0.370891i	$-0.120948\pi$
$594$	−5.84479	−	3.75622i	−0.239815	−	0.154119i
$595$	−2.96794	+	3.42519i	−0.121674	+	0.140419i
$596$	19.8376	+	5.82484i	0.812579	+	0.238595i
$597$	−20.2026			−0.826836
$598$	34.3258	−	52.8850i	1.40368	−	2.16263i
$599$	−38.2756			−1.56390			−0.781950	−	0.623342i	$-0.785775\pi$
$599$	−38.2756			−1.56390			−0.781950	+	0.623342i	$0.785775\pi$
$600$	−2.45952	−	0.722179i	−0.100409	−	0.0294828i
$601$	−13.1145	+	15.1350i	−0.534953	+	0.617368i	−0.957311	−	0.289061i	$-0.906657\pi$
$601$	−13.1145	+	15.1350i	−0.534953	+	0.617368i	0.422358	+	0.906429i	$0.361203\pi$
$602$	3.31088	+	2.12777i	0.134941	+	0.0867216i
$603$	−1.75813	+	12.2280i	−0.0715965	+	0.497964i
$604$	−24.0915	+	15.4826i	−0.980267	+	0.629980i
$605$	−2.54619	−	5.57537i	−0.103517	−	0.226671i
$606$	8.68241	+	10.0200i	0.352699	+	0.407036i
$607$	0.215933	+	1.50185i	0.00876444	+	0.0609580i	0.993734	−	0.111768i	$-0.0356515\pi$
$607$	0.215933	+	1.50185i	0.00876444	+	0.0609580i	−0.984970	+	0.172726i	$0.944742\pi$
$608$	−7.00331	+	15.3351i	−0.284022	+	0.621921i
$609$	2.25403	−	0.661843i	0.0913379	−	0.0268192i
$610$	62.9362	−	18.4797i	2.54821	−	0.748223i
$611$	24.2623	−	53.1271i	0.981549	−	2.14929i
$612$	1.01716	+	7.07452i	0.0411163	+	0.285970i
$613$	21.8568	+	25.2241i	0.882788	+	1.01879i	0.999671	+	0.0256458i	$0.00816421\pi$
$613$	21.8568	+	25.2241i	0.882788	+	1.01879i	−0.116883	+	0.993146i	$0.537290\pi$
$614$	34.0617	+	74.5846i	1.37462	+	3.00999i
$615$	11.8030	−	7.58531i	0.475942	−	0.305869i
$616$	−1.71769	+	11.9468i	−0.0692078	+	0.481351i
$617$	35.3142	+	22.6951i	1.42170	+	0.913669i	0.999976	+	0.00694362i	$0.00221024\pi$
$617$	35.3142	+	22.6951i	1.42170	+	0.913669i	0.421721	+	0.906726i	$0.361426\pi$
$618$	−9.83404	+	11.3491i	−0.395583	+	0.456527i
$619$	−15.9245	−	4.67585i	−0.640059	−	0.187938i	−0.0544302	−	0.998518i	$-0.517334\pi$
$619$	−15.9245	−	4.67585i	−0.640059	−	0.187938i	−0.585629	+	0.810579i	$0.699152\pi$
$620$	7.61572			0.305855
$621$	−4.35340	−	2.01195i	−0.174696	−	0.0807368i
$622$	44.0905			1.76787
$623$	−3.04513	−	0.894131i	−0.122001	−	0.0358226i
$624$	−8.95808	+	10.3382i	−0.358610	+	0.413858i
$625$	−23.3033	−	14.9761i	−0.932131	−	0.599044i
$626$	−10.1463	+	70.5690i	−0.405527	+	2.82050i
$627$	−17.4879	+	11.2388i	−0.698401	+	0.448835i
$628$	21.2714	+	46.5778i	0.848821	+	1.85866i
$629$	−7.62114	−	8.79526i	−0.303875	−	0.350690i
$630$	0.807822	+	5.61852i	0.0321844	+	0.223847i
$631$	−14.2263	+	31.1512i	−0.566339	+	1.24011i	0.382385	+	0.924003i	$0.375103\pi$
$631$	−14.2263	+	31.1512i	−0.566339	+	1.24011i	−0.948724	+	0.316106i	$0.897625\pi$
$632$	66.7002	−	19.5850i	2.65319	−	0.779048i
$633$	−12.3455	+	3.62497i	−0.490690	+	0.144080i
$634$	1.53943	−	3.37089i	0.0611387	−	0.133875i
$635$	5.22323	+	36.3284i	0.207278	+	1.44165i
$636$	−12.7185	−	14.6779i	−0.504321	−	0.582017i
$637$	2.28003	+	4.99257i	0.0903382	+	0.197813i
$638$	−13.7305	+	8.82406i	−0.543596	+	0.349348i
$639$	1.02861	−	7.15411i	0.0406910	−	0.283012i
$640$	−41.3292	−	26.5607i	−1.63368	−	1.04990i
$641$	20.9674	−	24.1977i	0.828162	−	0.955750i	−0.171404	−	0.985201i	$-0.554830\pi$
$641$	20.9674	−	24.1977i	0.828162	−	0.955750i	0.999566	+	0.0294509i	$0.00937588\pi$
$642$	−7.53530	−	2.21256i	−0.297394	−	0.0873229i
$643$	−7.34585			−0.289692			−0.144846	−	0.989454i	$-0.546269\pi$
$643$	−7.34585			−0.289692			−0.144846	+	0.989454i	$0.546269\pi$
$644$	−0.0809781	+	17.9229i	−0.00319098	+	0.706260i
$645$	−3.89386			−0.153321
$646$	31.4996	+	9.24911i	1.23933	+	0.363901i
$647$	−0.582363	+	0.672083i	−0.0228951	+	0.0264223i	−0.767082	−	0.641550i	$-0.778292\pi$
$647$	−0.582363	+	0.672083i	−0.0228951	+	0.0264223i	0.744187	+	0.667972i	$0.232837\pi$
$648$	3.50051	+	2.24964i	0.137513	+	0.0883741i
$649$	3.18927	−	22.1818i	0.125190	−	0.870714i
$650$	6.81303	−	4.37847i	0.267229	−	0.171738i
$651$	−0.357215	−	0.782193i	−0.0140004	−	0.0306565i
$652$	−16.8430	−	19.4379i	−0.659624	−	0.761247i
$653$	−0.0500303	−	0.347968i	−0.00195784	−	0.0136170i	0.988819	−	0.149120i	$-0.0476441\pi$
$653$	−0.0500303	−	0.347968i	−0.00195784	−	0.0136170i	−0.990777	+	0.135503i	$0.956735\pi$
$654$	−9.58601	+	20.9904i	−0.374843	+	0.820791i
$655$	8.26741	−	2.42753i	0.323035	−	0.0948515i
$656$	−14.1579	+	4.15713i	−0.552773	+	0.162309i
$657$	3.14517	−	6.88697i	0.122705	−	0.268686i
$658$	3.62738	+	25.2289i	0.141410	+	0.983527i
$659$	−28.3036	−	32.6641i	−1.10255	−	1.27241i	−0.959197	−	0.282740i	$-0.908757\pi$
$659$	−28.3036	−	32.6641i	−1.10255	−	1.27241i	−0.143354	−	0.989672i	$-0.545789\pi$
$660$	−10.6718	−	23.3679i	−0.415398	−	0.909595i
$661$	−17.6958	+	11.3724i	−0.688287	+	0.442335i	−0.837476	−	0.546473i	$-0.815970\pi$
$661$	−17.6958	+	11.3724i	−0.688287	+	0.442335i	0.149189	+	0.988809i	$0.452334\pi$
$662$	−1.41483	+	9.84036i	−0.0549889	+	0.382456i
$663$	−8.83035	−	5.67492i	−0.342942	−	0.220396i
$664$	−26.2030	+	30.2399i	−1.01687	+	1.17354i
$665$	16.2959	+	4.78490i	0.631926	+	0.185550i
$666$	−14.5757			−0.564797
$667$	−8.54775	+	7.33932i	−0.330970	+	0.284179i
$668$	62.2474			2.40843
$669$	18.4050	+	5.40421i	0.711580	+	0.208939i
$670$	−45.9213	+	52.9960i	−1.77410	+	2.04742i
$671$	28.1976	+	18.1215i	1.08856	+	0.699572i
$672$	−0.334773	+	2.32840i	−0.0129142	+	0.0898200i
$673$	−0.490501	+	0.315226i	−0.0189074	+	0.0121511i	−0.550060	−	0.835125i	$-0.685395\pi$
$673$	−0.490501	+	0.315226i	−0.0189074	+	0.0121511i	0.531153	+	0.847276i	$0.321759\pi$
$674$	0.203366	+	0.445310i	0.00783338	+	0.0171527i
$675$	−0.403416	−	0.465567i	−0.0155275	−	0.0179197i
$676$	−9.10777	−	63.3460i	−0.350299	−	2.43638i
$677$	−8.41242	+	18.4206i	−0.323315	+	0.707962i	−0.999588	−	0.0286891i	$-0.990867\pi$
$677$	−8.41242	+	18.4206i	−0.323315	+	0.707962i	0.676273	+	0.736651i	$0.263594\pi$
$678$	−11.5460	+	3.39020i	−0.443420	+	0.130200i
$679$	2.39390	−	0.702913i	0.0918695	−	0.0269753i
$680$	−7.83417	+	17.1544i	−0.300427	+	0.657842i
$681$	−0.794017	−	5.52251i	−0.0304268	−	0.211623i
$682$	3.91236	+	4.51510i	0.149812	+	0.172892i
$683$	−20.7582	−	45.4541i	−0.794291	−	1.73925i	−0.663940	−	0.747786i	$-0.731117\pi$
$683$	−20.7582	−	45.4541i	−0.794291	−	1.73925i	−0.130351	−	0.991468i	$-0.541610\pi$
$684$	22.5318	−	14.4803i	0.861524	−	0.553668i
$685$	−2.15151	+	14.9641i	−0.0822048	+	0.571747i
$686$	−2.01501	−	1.29497i	−0.0769335	−	0.0494421i
$687$	3.14774	−	3.63268i	0.120094	−	0.138595i
$688$	3.92930	+	1.15375i	0.149803	+	0.0439862i
$689$	28.5231			1.08664
$690$	−14.6140	−	22.9674i	−0.556346	−	0.874352i
$691$	−37.4613			−1.42510			−0.712548	−	0.701623i	$-0.752459\pi$
$691$	−37.4613			−1.42510			−0.712548	+	0.701623i	$0.752459\pi$
$692$	−46.3394	−	13.6065i	−1.76156	−	0.517240i
$693$	−1.89950	+	2.19214i	−0.0721562	+	0.0832727i
$694$	−35.9889	−	23.1287i	−1.36612	−	0.877953i
$695$	−7.72075	+	53.6990i	−0.292865	+	2.03692i
$696$	8.22334	−	5.28482i	0.311705	−	0.200321i
$697$	−4.70353	−	10.2993i	−0.178159	−	0.390113i
$698$	13.3328	+	15.3868i	0.504653	+	0.582400i
$699$	1.37778	+	9.58265i	0.0521123	+	0.362449i
$700$	−0.956388	+	2.09420i	−0.0361481	+	0.0791533i
$701$	−4.39059	+	1.28919i	−0.165830	+	0.0486921i	−0.363594	−	0.931558i	$-0.618450\pi$
$701$	−4.39059	+	1.28919i	−0.165830	+	0.0486921i	0.197764	+	0.980250i	$0.436632\pi$
$702$	−12.6140	+	3.70379i	−0.476083	+	0.139791i
$703$	−18.1168	+	39.6703i	−0.683288	+	1.49619i
$704$	−4.38359	−	30.4886i	−0.165213	−	1.14908i
$705$	−16.5141	−	19.0583i	−0.621958	−	0.717778i
$706$	−29.9951	−	65.6802i	−1.12888	−	2.47191i
$707$	4.65659	−	2.99261i	0.175129	−	0.112549i
$708$	−4.10911	+	28.5795i	−0.154430	+	1.07408i
$709$	−13.3035	−	8.54966i	−0.499625	−	0.321089i	0.266441	−	0.963851i	$-0.414152\pi$
$709$	−13.3035	−	8.54966i	−0.499625	−	0.321089i	−0.766066	+	0.642762i	$0.777789\pi$
$710$	26.8666	−	31.0057i	1.00829	−	1.16362i
$711$	16.0296	+	4.70672i	0.601158	+	0.176516i
$712$	−13.2059			−0.494912
$713$	3.10443	+	2.71466i	0.116262	+	0.101665i
$714$	4.58081			0.171433
$715$	36.1999	+	10.6292i	1.35380	+	0.397511i
$716$	58.0100	−	66.9471i	2.16794	−	2.50193i
$717$	5.60732	+	3.60361i	0.209409	+	0.134579i
$718$	−3.05437	+	21.2436i	−0.113988	+	0.792805i
$719$	−11.2938	+	7.25807i	−0.421187	+	0.270680i	−0.734020	−	0.679128i	$-0.762358\pi$
$719$	−11.2938	+	7.25807i	−0.421187	+	0.270680i	0.312833	+	0.949808i	$0.398722\pi$
$720$	2.45360	+	5.37264i	0.0914404	+	0.200227i
$721$	4.10564	+	4.73817i	0.152902	+	0.176459i
$722$	−11.0315	−	76.7258i	−0.410550	−	2.85544i
$723$	1.75214	−	3.83666i	0.0651629	−	0.142687i
$724$	34.9639	−	10.2663i	1.29942	−	0.381545i
$725$	−1.38856	+	0.407717i	−0.0515697	+	0.0151422i
$726$	−2.57351	+	5.63520i	−0.0955119	+	0.209142i
$727$	2.21510	+	15.4064i	0.0821535	+	0.571390i	0.988771	+	0.149437i	$0.0477462\pi$
$727$	2.21510	+	15.4064i	0.0821535	+	0.571390i	−0.906618	+	0.421953i	$0.861345\pi$
$728$	14.9559	+	17.2600i	0.554301	+	0.639698i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	36.1538	−	23.2347i	1.33811	−	0.859953i
$731$	−0.447206	+	3.11039i	−0.0165405	+	0.115042i
$732$	−36.3303	−	23.3480i	−1.34281	−	0.862968i
$733$	9.40481	−	10.8537i	0.347375	−	0.400892i	−0.554996	−	0.831853i	$-0.687280\pi$
$733$	9.40481	−	10.8537i	0.347375	−	0.400892i	0.902370	+	0.430962i	$0.141826\pi$
$734$	−38.3956	−	11.2740i	−1.41721	−	0.416129i
$735$	2.36982			0.0874120
$736$	−3.12941	−	10.8387i	−0.115352	−	0.399520i
$737$	−35.8337			−1.31995
$738$	−13.6064	−	3.99519i	−0.500857	−	0.147065i
$739$	−32.1824	+	37.1405i	−1.18385	+	1.36623i	−0.268646	+	0.963239i	$0.586576\pi$
$739$	−32.1824	+	37.1405i	−1.18385	+	1.36623i	−0.915202	+	0.402995i	$0.867969\pi$
$740$	−45.3386	−	29.1374i	−1.66668	−	1.07111i
$741$	−5.59796	+	38.9346i	−0.205646	+	1.43030i
$742$	−10.4717	+	6.72973i	−0.384427	+	0.247056i
$743$	−11.8122	−	25.8652i	−0.433349	−	0.948903i	−0.992771	−	0.120020i	$-0.961704\pi$
$743$	−11.8122	−	25.8652i	−0.433349	−	0.948903i	0.559422	−	0.828883i	$-0.311023\pi$
$744$	−2.34315	−	2.70414i	−0.0859042	−	0.0991387i
$745$	1.86580	+	12.9769i	0.0683575	+	0.475437i
$746$	28.4036	−	62.1953i	1.03993	−	2.27713i
$747$	−9.22657	+	2.70917i	−0.337583	+	0.0991232i
$748$	−19.8918	+	5.84075i	−0.727315	+	0.213559i
$749$	−1.36204	+	2.98245i	−0.0497679	+	0.108976i
$750$	3.54146	+	24.6314i	0.129316	+	0.899412i
$751$	−22.5875	−	26.0674i	−0.824230	−	0.951212i	0.175215	−	0.984530i	$-0.443938\pi$
$751$	−22.5875	−	26.0674i	−0.824230	−	0.951212i	−0.999445	+	0.0333184i	$0.989392\pi$
$752$	11.0175	+	24.1249i	0.401765	+	0.879743i
$753$	−23.0937	+	14.8414i	−0.841582	+	0.540852i
$754$	−4.39519	+	30.5692i	−0.160063	+	1.11326i
$755$	−15.2767	−	9.81775i	−0.555977	−	0.357304i
$756$	2.44735	−	2.82440i	0.0890094	−	0.102722i
$757$	−45.3609	−	13.3192i	−1.64867	−	0.484093i	−0.680158	−	0.733065i	$-0.738089\pi$
$757$	−45.3609	−	13.3192i	−1.64867	−	0.484093i	−0.968511	+	0.248972i	$0.919907\pi$
$758$	22.2139			0.806847
$759$	3.97942	−	13.3296i	0.144444	−	0.483833i
$760$	70.6707			2.56349
$761$	3.89843	+	1.14468i	0.141318	+	0.0414947i	0.351627	−	0.936140i	$-0.385629\pi$
$761$	3.89843	+	1.14468i	0.141318	+	0.0414947i	−0.210309	+	0.977635i	$0.567447\pi$
$762$	24.2926	−	28.0352i	0.880028	−	1.01561i
$763$	8.10461	+	5.20852i	0.293407	+	0.188561i
$764$	13.4089	−	93.2607i	0.485116	−	3.37405i
$765$	−3.81271	+	2.45028i	−0.137849	+	0.0885900i
$766$	16.8919	+	36.9880i	0.610328	+	1.33643i
$767$	−27.7688	−	32.0469i	−1.00267	−	1.15715i
$768$	4.04417	+	28.1278i	0.145931	+	1.01498i
$769$	−1.96925	+	4.31205i	−0.0710129	+	0.155497i	−0.941810	−	0.336146i	$-0.890876\pi$
$769$	−1.96925	+	4.31205i	−0.0710129	+	0.155497i	0.870797	+	0.491643i	$0.163604\pi$
$770$	−15.7979	+	4.63867i	−0.569316	+	0.167166i
$771$	−6.19230	+	1.81822i	−0.223010	+	0.0654817i
$772$	21.4966	−	47.0710i	0.773680	−	1.69412i
$773$	−4.51047	−	31.3710i	−0.162230	−	1.12834i	−0.894418	−	0.447233i	$-0.852410\pi$
$773$	−4.51047	−	31.3710i	−0.162230	−	1.12834i	0.732187	−	0.681103i	$-0.238500\pi$
$774$	2.57730	+	2.97437i	0.0926392	+	0.106911i
$775$	0.220057	+	0.481857i	0.00790466	+	0.0173088i
$776$	8.73364	−	5.61277i	0.313519	−	0.201487i
$777$	−0.866022	+	6.02332i	−0.0310684	+	0.216085i
$778$	26.7304	+	17.1786i	0.958331	+	0.615882i
$779$	−27.7855	+	32.0662i	−0.995520	+	1.14889i
$780$	−46.6405	−	13.6949i	−1.67000	−	0.490356i
$781$	20.9648			0.750178
$782$	−20.0246	+	9.03579i	−0.716077	+	0.323119i
$783$	2.34919			0.0839531
$784$	−2.39138	−	0.702173i	−0.0854065	−	0.0250776i
$785$	−21.2632	+	24.5391i	−0.758918	+	0.875838i
$786$	−7.32640	−	4.70839i	−0.261324	−	0.167943i
$787$	−1.75461	+	12.2036i	−0.0625452	+	0.435012i	0.934356	+	0.356342i	$0.115976\pi$
$787$	−1.75461	+	12.2036i	−0.0625452	+	0.435012i	−0.996901	+	0.0786695i	$0.974933\pi$
$788$	−70.7032	+	45.4382i	−2.51870	+	1.61867i
$789$	−4.76624	−	10.4366i	−0.169683	−	0.371553i
$790$	62.1006	+	71.6679i	2.20944	+	2.54983i
$791$	0.714970	+	4.97273i	0.0254214	+	0.176810i
$792$	−5.01392	+	10.9790i	−0.178162	+	0.390120i
$793$	60.8547	−	17.8686i	2.16101	−	0.634531i
$794$	50.5277	−	14.8363i	1.79316	−	0.526519i
$795$	5.11606	−	11.2026i	0.181448	−	0.397315i
$796$	10.7450	+	74.7329i	0.380845	+	2.64884i
$797$	19.0993	+	22.0418i	0.676533	+	0.780761i	0.985384	−	0.170350i	$-0.0544898\pi$
$797$	19.0993	+	22.0418i	0.676533	+	0.780761i	−0.308851	+	0.951111i	$0.599944\pi$
$798$	−7.13105	−	15.6148i	−0.252436	−	0.552758i
$799$	−17.1203	+	11.0025i	−0.605672	+	0.389242i
$800$	0.206231	−	1.43437i	0.00729138	−	0.0507127i
$801$	−2.66987	−	1.71582i	−0.0943354	−	0.0606257i
$802$	−33.7795	+	38.9836i	−1.19280	+	1.37656i
$803$	21.0715	+	6.18715i	0.743597	+	0.218340i
$804$	46.1687			1.62825
$805$	−10.3594	+	4.67454i	−0.365121	+	0.164756i
$806$	11.3047			0.398189
$807$	10.2300	+	3.00379i	0.360112	+	0.105738i
$808$	15.0832	−	17.4070i	0.530625	−	0.612374i
$809$	−10.5282	−	6.76608i	−0.370153	−	0.237883i	0.342318	−	0.939584i	$-0.388788\pi$
$809$	−10.5282	−	6.76608i	−0.370153	−	0.237883i	−0.712471	+	0.701701i	$0.752424\pi$
$810$	−0.807822	+	5.61852i	−0.0283840	+	0.197415i
$811$	22.1513	−	14.2358i	0.777836	−	0.499885i	−0.0904786	−	0.995898i	$-0.528840\pi$
$811$	22.1513	−	14.2358i	0.777836	−	0.499885i	0.868315	+	0.496013i	$0.165203\pi$
$812$	−3.64710	−	7.98604i	−0.127988	−	0.280255i
$813$	19.9695	+	23.0460i	0.700360	+	0.808258i
$814$	−6.01687	−	41.8483i	−0.210891	−	1.46678i
$815$	6.77518	−	14.8356i	0.237324	−	0.519667i
$816$	4.57342	−	1.34288i	0.160102	−	0.0470101i
$817$	11.2987	−	3.31760i	0.395291	−	0.116068i
$818$	−11.8033	+	25.8457i	−0.412694	+	0.903673i
$819$	0.781104	+	5.43270i	0.0272940	+	0.189834i
$820$	−34.3369	−	39.6269i	−1.19910	−	1.38383i
$821$	−17.9812	−	39.3733i	−0.627548	−	1.37414i	−0.909900	−	0.414828i	$-0.863842\pi$
$821$	−17.9812	−	39.3733i	−0.627548	−	1.37414i	0.282351	−	0.959311i	$-0.408886\pi$
$822$	12.8545	−	8.26108i	0.448352	−	0.288138i
$823$	6.43759	−	44.7744i	0.224400	−	1.56074i	−0.496709	−	0.867917i	$-0.665458\pi$
$823$	6.43759	−	44.7744i	0.224400	−	1.56074i	0.721109	−	0.692821i	$-0.243633\pi$
$824$	21.9464	+	14.1041i	0.764539	+	0.491339i
$825$	1.17016	−	1.35043i	0.0407397	−	0.0470161i
$826$	17.7559	+	5.21359i	0.617805	+	0.181404i
$827$	16.2533			0.565183			0.282591	−	0.959240i	$-0.408806\pi$
$827$	16.2533			0.565183			0.282591	+	0.959240i	$0.408806\pi$
$828$	−5.12715	+	17.1740i	−0.178181	+	0.596839i
$829$	−41.3461			−1.43601			−0.718005	−	0.696038i	$-0.754944\pi$
$829$	−41.3461			−1.43601			−0.718005	+	0.696038i	$0.754944\pi$
$830$	−52.3728	−	15.3780i	−1.81789	−	0.533780i
$831$	−1.08174	+	1.24840i	−0.0375252	+	0.0433064i
$832$	−49.0314	−	31.5106i	−1.69986	−	1.09243i
$833$	0.272171	−	1.89299i	0.00943017	−	0.0655883i
$834$	46.1288	−	29.6452i	1.59731	−	1.02653i
$835$	16.3972	+	35.9049i	0.567449	+	1.24254i
$836$	50.8755	+	58.7135i	1.75957	+	2.03065i
$837$	−0.122377	−	0.851147i	−0.00422995	−	0.0294200i
$838$	−7.56782	+	16.5712i	−0.261426	+	0.572443i
$839$	−21.3409	+	6.26624i	−0.736768	+	0.216335i	−0.628525	−	0.777790i	$-0.716341\pi$
$839$	−21.3409	+	6.26624i	−0.736768	+	0.216335i	−0.108244	+	0.994124i	$0.534523\pi$
$840$	9.46151	−	2.77815i	0.326453	−	0.0958553i
$841$	−9.75449	+	21.3594i	−0.336362	+	0.736530i
$842$	13.5275	+	94.0857i	0.466188	+	3.24241i
$843$	1.83496	+	2.11766i	0.0631995	+	0.0729361i
$844$	19.9755	+	43.7402i	0.687585	+	1.50560i
$845$	34.1394	−	21.9401i	1.17443	−	0.754761i
$846$	−3.62738	+	25.2289i	−0.124712	+	0.867389i
$847$	2.17580	+	1.39830i	0.0747615	+	0.0480463i
$848$	−8.48193	+	9.78867i	−0.291271	+	0.336144i
$849$	7.32529	+	2.15090i	0.251403	+	0.0738187i
$850$	−2.82193			−0.0967915
$851$	−8.09545	−	28.0386i	−0.277508	−	0.961150i
$852$	−27.0114			−0.925394
$853$	−5.90834	−	1.73484i	−0.202298	−	0.0594000i	0.179014	−	0.983847i	$-0.442709\pi$
$853$	−5.90834	−	1.73484i	−0.202298	−	0.0594000i	−0.381312	+	0.924447i	$0.624527\pi$
$854$	−18.1256	+	20.9181i	−0.620246	+	0.715802i
$855$	14.2877	+	9.18215i	0.488629	+	0.314023i
$856$	−1.94161	+	13.5042i	−0.0663629	+	0.461564i
$857$	−34.3476	+	22.0738i	−1.17329	+	0.754028i	−0.974141	−	0.225941i	$-0.927454\pi$
$857$	−34.3476	+	22.0738i	−1.17329	+	0.754028i	−0.199149	+	0.979969i	$0.563818\pi$
$858$	−15.8410	−	34.6870i	−0.540803	−	1.18419i
$859$	−30.3369	−	35.0107i	−1.03508	−	1.19455i	−0.980597	−	0.196034i	$-0.937194\pi$
$859$	−30.3369	−	35.0107i	−1.03508	−	1.19455i	−0.0544847	−	0.998515i	$-0.517352\pi$
$860$	2.07099	+	14.4041i	0.0706203	+	0.491175i
$861$	−2.45941	+	5.38536i	−0.0838166	+	0.183533i
$862$	69.6453	−	20.4497i	2.37213	−	0.696520i
$863$	30.5519	−	8.97083i	1.04000	−	0.305371i	0.283228	−	0.959053i	$-0.408595\pi$
$863$	30.5519	−	8.97083i	1.04000	−	0.305371i	0.756769	+	0.653682i	$0.226777\pi$
$864$	−0.977199	+	2.13977i	−0.0332450	+	0.0727963i
$865$	−4.35838	−	30.3132i	−0.148189	−	1.03068i
$866$	−10.7018	−	12.3505i	−0.363662	−	0.419688i
$867$	−5.54268	−	12.1368i	−0.188239	−	0.412186i
$868$	−2.70348	+	1.73742i	−0.0917620	+	0.0589719i
$869$	−6.89641	+	47.9656i	−0.233945	+	1.62712i
$870$	11.2179	+	7.20928i	0.380321	+	0.244417i
$871$	−44.4025	+	51.2433i	−1.50452	+	1.73631i
$872$	38.4637	+	11.2940i	1.30254	+	0.382462i
$873$	2.49497			0.0844418
$874$	61.9733	+	54.1924i	2.09628	+	1.83308i
$875$	10.3892			0.351219
$876$	−27.1489	−	7.97163i	−0.917276	−	0.269336i
$877$	2.86701	−	3.30871i	0.0968122	−	0.111727i	−0.705276	−	0.708933i	$-0.749177\pi$
$877$	2.86701	−	3.30871i	0.0968122	−	0.111727i	0.802088	+	0.597206i	$0.203722\pi$
$878$	−16.0711	−	10.3283i	−0.542375	−	0.348563i
$879$	0.271766	−	1.89018i	0.00916645	−	0.0637541i
$880$	−14.4125	+	9.26238i	−0.485847	+	0.312235i
$881$	12.8274	+	28.0880i	0.432165	+	0.946310i	0.992970	+	0.118362i	$0.0377644\pi$
$881$	12.8274	+	28.0880i	0.432165	+	0.946310i	−0.560805	+	0.827948i	$0.689508\pi$
$882$	−1.56855	−	1.81021i	−0.0528160	−	0.0609529i
$883$	−6.83625	−	47.5472i	−0.230058	−	1.60009i	−0.697845	−	0.716249i	$-0.745858\pi$
$883$	−6.83625	−	47.5472i	−0.230058	−	1.60009i	0.467787	−	0.883841i	$-0.345051\pi$
$884$	−16.2960	+	35.6833i	−0.548094	+	1.20016i
$885$	−17.5673	+	5.15824i	−0.590520	+	0.173392i
$886$	−0.629046	+	0.184705i	−0.0211332	+	0.00620527i
$887$	−0.623555	+	1.36539i	−0.0209369	+	0.0458454i	−0.919812	−	0.392360i	$-0.871659\pi$
$887$	−0.623555	+	1.36539i	−0.0209369	+	0.0458454i	0.898875	+	0.438206i	$0.144386\pi$
$888$	3.60357	+	25.0634i	0.120928	+	0.841072i
$889$	−10.1420	−	11.7045i	−0.340152	−	0.392556i
$890$	−7.48362	−	16.3868i	−0.250851	−	0.549288i
$891$	−2.44016	+	1.56820i	−0.0817484	+	0.0525365i
$892$	10.2022	−	70.9577i	0.341594	−	2.37584i
$893$	64.1563	+	41.2307i	2.14691	+	1.37973i
$894$	8.67758	−	10.0145i	0.290222	−	0.334934i
$895$	53.8968	+	15.8255i	1.80157	+	0.528989i
$896$	20.7308			0.692566
$897$	−14.1307	−	22.2077i	−0.471810	−	0.741495i
$898$	−16.8907			−0.563651
$899$	−1.93824	−	0.569118i	−0.0646439	−	0.0189812i
$900$	−1.50765	+	1.73992i	−0.0502551	+	0.0579974i
$901$	−8.36098	−	5.37328i	−0.278545	−	0.179010i
$902$	5.85385	−	40.7144i	0.194912	−	1.35564i
$903$	1.38227	−	0.888331i	0.0459991	−	0.0295618i
$904$	8.68408	+	19.0155i	0.288828	+	0.632446i
$905$	15.1319	+	17.4632i	0.503002	+	0.580495i
$906$	2.61209	+	18.1675i	0.0867810	+	0.603575i
$907$	10.4581	−	22.8999i	0.347254	−	0.760380i	−0.652742	−	0.757580i	$-0.726381\pi$
$907$	10.4581	−	22.8999i	0.347254	−	0.760380i	0.999996	−	0.00279989i	$-0.000891233\pi$
$908$	−20.0064	+	5.87441i	−0.663936	+	0.194949i
$909$	5.31108	−	1.55947i	0.176157	−	0.0517245i
$910$	−12.9421	+	28.3394i	−0.429028	+	0.939440i
$911$	−0.476957	−	3.31731i	−0.0158023	−	0.109907i	0.980394	−	0.197049i	$-0.0631358\pi$
$911$	−0.476957	−	3.31731i	−0.0158023	−	0.109907i	−0.996196	+	0.0871416i	$0.972227\pi$
$912$	−11.6971	−	13.4991i	−0.387329	−	0.447001i
$913$	−11.5870	−	25.3721i	−0.383475	−	0.839693i
$914$	18.8710	−	12.1277i	0.624199	−	0.401148i
$915$	3.89725	−	27.1060i	0.128839	−	0.896097i
$916$	−15.1121	−	9.71194i	−0.499317	−	0.320892i
$917$	−2.38101	+	2.74784i	−0.0786280	+	0.0907416i
$918$	4.39526	+	1.29056i	0.145065	+	0.0425950i
$919$	30.2930			0.999273			0.499636	−	0.866235i	$-0.333467\pi$
$919$	30.2930			0.999273			0.499636	+	0.866235i	$0.333467\pi$
$920$	−35.8800	+	30.8075i	−1.18293	+	1.01569i
$921$	34.2321			1.12798
$922$	46.3088	+	13.5975i	1.52510	+	0.447809i
$923$	25.9780	−	29.9803i	0.855078	−	0.986812i
$924$	9.11940	+	5.86068i	0.300006	+	0.192802i
$925$	0.533498	−	3.71056i	0.0175413	−	0.122003i
$926$	−0.790844	+	0.508244i	−0.0259887	+	0.0167019i
$927$	2.60444	+	5.70293i	0.0855411	+	0.187309i
$928$	3.61882	+	4.17634i	0.118794	+	0.137095i
$929$	2.85829	+	19.8799i	0.0937775	+	0.652237i	0.981444	+	0.191750i	$0.0614162\pi$
$929$	2.85829	+	19.8799i	0.0937775	+	0.652237i	−0.887666	+	0.460487i	$0.847675\pi$
$930$	2.02766	−	4.43996i	0.0664896	−	0.145592i
$931$	−6.87642	+	2.01910i	−0.225366	+	0.0661733i
$932$	34.7151	−	10.1933i	1.13713	−	0.333892i
$933$	7.64674	−	16.7440i	0.250343	−	0.548175i
$934$	−11.0100	−	76.5765i	−0.360259	−	2.50566i
$935$	−8.60889	−	9.93519i	−0.281541	−	0.324915i
$936$	9.48735	+	20.7744i	0.310104	+	0.679032i
$937$	4.82760	−	3.10251i	0.157711	−	0.101355i	−0.459405	−	0.888227i	$-0.651937\pi$
$937$	4.82760	−	3.10251i	0.157711	−	0.101355i	0.617116	+	0.786872i	$0.288301\pi$
$938$	4.21115	−	29.2892i	0.137499	−	0.956326i
$939$	25.0399	+	16.0922i	0.817148	+	0.525149i
$940$	−61.7168	+	71.2250i	−2.01298	+	2.32310i
$941$	16.6024	+	4.87491i	0.541223	+	0.158917i	0.540907	−	0.841083i	$-0.318081\pi$
$941$	16.6024	+	4.87491i	0.541223	+	0.158917i	0.000316183		1.00000i	$0.499899\pi$
$942$	32.8183			1.06928
$943$	0.128283	−	28.3928i	0.00417747	−	0.924598i
$944$	19.2556			0.626716
$945$	2.27382	+	0.667655i	0.0739675	+	0.0217188i
$946$	−7.47578	+	8.62751i	−0.243059	+	0.280505i
$947$	−43.3576	−	27.8642i	−1.40893	−	0.905466i	−0.408958	−	0.912553i	$-0.634108\pi$
$947$	−43.3576	−	27.8642i	−1.40893	−	0.905466i	−0.999975	+	0.00708739i	$0.997744\pi$
$948$	8.88546	−	61.7997i	0.288586	−	2.00716i
$949$	34.9581	−	22.4662i	1.13479	−	0.729284i
$950$	4.39296	+	9.61924i	0.142526	+	0.312089i
$951$	−1.01316	−	1.16925i	−0.0328539	−	0.0379154i
$952$	−1.13252	−	7.87685i	−0.0367052	−	0.255290i
$953$	5.55873	−	12.1719i	0.180065	−	0.394288i	−0.797979	−	0.602685i	$-0.794098\pi$
$953$	5.55873	−	12.1719i	0.180065	−	0.394288i	0.978044	+	0.208398i	$0.0668248\pi$
$954$	−11.9435	+	3.50692i	−0.386684	+	0.113541i
$955$	57.3258	−	16.8324i	1.85502	−	0.544683i
$956$	10.3481	−	22.6591i	0.334680	−	0.732847i
$957$	0.969749	+	6.74475i	0.0313475	+	0.218027i
$958$	52.2067	+	60.2497i	1.68672	+	1.94658i
$959$	−2.65008	−	5.80288i	−0.0855757	−	0.187385i
$960$	−21.1705	+	13.6054i	−0.683274	+	0.439114i
$961$	4.30653	−	29.9526i	0.138920	−	0.966212i
$962$	−67.3000	−	43.2511i	−2.16984	−	1.39447i
$963$	−2.14712	+	2.47791i	−0.0691901	+	0.0798496i
$964$	−15.1244	−	4.44091i	−0.487123	−	0.143032i
$965$	32.8137			1.05631
$966$	10.4275	+	4.81912i	0.335498	+	0.155053i
$967$	−29.6353			−0.953006			−0.476503	−	0.879173i	$-0.658096\pi$
$967$	−29.6353			−0.953006			−0.476503	+	0.879173i	$0.658096\pi$
$968$	10.3262	+	3.03203i	0.331895	+	0.0974532i
$969$	8.97556	−	10.3583i	0.288336	−	0.332758i
$970$	11.9140	+	7.65665i	0.382535	+	0.245840i
$971$	−4.89786	+	34.0653i	−0.157180	+	1.09321i	0.746619	+	0.665252i	$0.231676\pi$
$971$	−4.89786	+	34.0653i	−0.157180	+	1.09321i	−0.903799	+	0.427957i	$0.859233\pi$
$972$	3.14394	−	2.02049i	0.100842	−	0.0648073i
$973$	−9.50992	−	20.8238i	−0.304874	−	0.667581i
$974$	−50.3179	−	58.0700i	−1.61229	−	1.86068i
$975$	−0.481186	−	3.34672i	−0.0154103	−	0.107181i
$976$	−11.9642	+	26.1979i	−0.382964	+	0.838575i
$977$	−3.92326	+	1.15197i	−0.125516	+	0.0368549i	−0.343887	−	0.939011i	$-0.611744\pi$
$977$	−3.92326	+	1.15197i	−0.125516	+	0.0368549i	0.218371	+	0.975866i	$0.429926\pi$
$978$	−15.8167	+	4.64420i	−0.505762	+	0.148505i
$979$	3.82417	−	8.37377i	0.122221	−	0.267627i
$980$	−1.26041	−	8.76637i	−0.0402624	−	0.280031i
$981$	6.30891	+	7.28087i	0.201428	+	0.232460i
$982$	−37.5947	−	82.3210i	−1.19970	−	2.62697i
$983$	−1.46812	+	0.943504i	−0.0468258	+	0.0300931i	−0.563844	−	0.825881i	$-0.690678\pi$
$983$	−1.46812	+	0.943504i	−0.0468258	+	0.0300931i	0.517019	+	0.855974i	$0.327042\pi$
$984$	−3.50593	+	24.3843i	−0.111765	+	0.777343i
$985$	−44.8338	−	28.8130i	−1.42852	−	0.918057i
$986$	7.04708	−	8.13276i	0.224425	−	0.259000i
$987$	10.2102	+	2.99798i	0.324994	+	0.0954268i
$988$	147.003			4.67680
$989$	−4.29019	+	6.60982i	−0.136420	+	0.210180i
$990$	−16.4648			−0.523286
$991$	−27.0476	−	7.94189i	−0.859195	−	0.252283i	−0.177682	−	0.984088i	$-0.556860\pi$
$991$	−27.0476	−	7.94189i	−0.859195	−	0.252283i	−0.681514	+	0.731805i	$0.738678\pi$
$992$	1.32464	−	1.52872i	0.0420573	−	0.0485368i
$993$	3.49165	+	2.24395i	0.110804	+	0.0712095i
$994$	−2.46377	+	17.1359i	−0.0781459	+	0.543517i
$995$	−40.2762	+	25.8839i	−1.27684	+	0.820576i
$996$	14.9289	+	32.6898i	0.473041	+	1.03582i
$997$	−4.87674	−	5.62806i	−0.154448	−	0.178243i	0.673252	−	0.739413i	$-0.264897\pi$
$997$	−4.87674	−	5.62806i	−0.154448	−	0.178243i	−0.827700	+	0.561170i	$0.810351\pi$
$998$	−0.675421	−	4.69766i	−0.0213801	−	0.148702i
$999$	−2.52791	+	5.53534i	−0.0799794	+	0.175131i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.f.64.2	✓	80
23.9	even	11	inner	483.2.q.f.400.2	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.f.64.2	✓	80	1.1	even	1	trivial
483.2.q.f.400.2	yes	80	23.9	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.29822 - 0.674819i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(3.14394 + 2.02049i) q^{4} +(-0.337260 + 2.34570i) q^{5} +(2.01501 - 1.29497i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-2.72491 - 3.14472i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(-2.29822 - 0.674819i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(3.14394 + 2.02049i) q^{4} +(-0.337260 + 2.34570i) q^{5} +(2.01501 - 1.29497i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-2.72491 - 3.14472i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(2.35802 - 5.16334i) q^{10} +(2.78313 - 0.817200i) q^{11} +(-3.58583 + 1.05289i) q^{12} +(2.28003 - 4.99257i) q^{13} +(0.340879 + 2.37087i) q^{14} +(-1.55190 - 1.79099i) q^{15} +(1.03536 + 2.26711i) q^{16} +(-1.60886 + 1.03395i) q^{17} +(-0.340879 + 2.37087i) q^{18} +(6.02903 + 3.87462i) q^{19} +(-5.79978 + 6.69331i) q^{20} +(0.959493 + 0.281733i) q^{21} -6.94771 q^{22} +(-4.75005 + 0.661064i) q^{23} +4.16106 q^{24} +(-0.591079 - 0.173557i) q^{25} +(-8.60911 + 9.93544i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.531861 - 3.69917i) q^{28} +(1.97626 - 1.27007i) q^{29} +(2.35802 + 5.16334i) q^{30} +(-0.563115 - 0.649869i) q^{31} +(0.334773 + 2.32840i) q^{32} +(-1.20496 + 2.63850i) q^{33} +(4.39526 - 1.29056i) q^{34} +(2.27382 - 0.667655i) q^{35} +(1.55249 - 3.39949i) q^{36} +(0.866022 + 6.02332i) q^{37} +(-11.2414 - 12.9733i) q^{38} +(2.28003 + 4.99257i) q^{39} +(8.29556 - 5.33123i) q^{40} +(-0.842558 + 5.86012i) q^{41} +(-2.01501 - 1.29497i) q^{42} +(1.07601 - 1.24178i) q^{43} +(10.4011 + 3.05405i) q^{44} +2.36982 q^{45} +(11.3628 + 1.68616i) q^{46} +10.6412 q^{47} +(-2.39138 - 0.702173i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(1.24131 + 0.797744i) q^{50} +(0.272171 - 1.89299i) q^{51} +(17.2557 - 11.0896i) q^{52} +(2.15884 + 4.72720i) q^{53} +(-1.56855 - 1.81021i) q^{54} +(0.978265 + 6.80398i) q^{55} +(-1.72857 + 3.78503i) q^{56} +(-6.87642 + 2.01910i) q^{57} +(-5.39896 + 1.58528i) q^{58} +(3.20946 - 7.02773i) q^{59} +(-1.26041 - 8.76637i) q^{60} +(7.56733 + 8.73316i) q^{61} +(0.855619 + 1.87355i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(1.51126 - 10.5110i) q^{64} +(10.9421 + 7.03206i) q^{65} +(4.54978 - 5.25073i) q^{66} +(-11.8534 - 3.48046i) q^{67} -7.14727 q^{68} +(2.61102 - 4.02275i) q^{69} -5.67630 q^{70} +(6.93490 + 2.03627i) q^{71} +(-2.72491 + 3.14472i) q^{72} +(6.36926 + 4.09328i) q^{73} +(2.07434 - 14.4273i) q^{74} +(0.518240 - 0.333053i) q^{75} +(11.1263 + 24.3632i) q^{76} +(-1.89950 - 2.19214i) q^{77} +(-1.87094 - 13.0127i) q^{78} +(-6.94007 + 15.1966i) q^{79} +(-5.66714 + 1.66402i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(5.89091 - 12.8993i) q^{82} +(-1.36851 - 9.51821i) q^{83} +(2.44735 + 2.82440i) q^{84} +(-1.88273 - 4.12261i) q^{85} +(-3.31088 + 2.12777i) q^{86} +(-0.334324 + 2.32528i) q^{87} +(-10.1536 - 6.52535i) q^{88} +(2.07832 - 2.39851i) q^{89} +(-5.44637 - 1.59920i) q^{90} -5.48857 q^{91} +(-16.2696 - 7.51909i) q^{92} +0.859900 q^{93} +(-24.4559 - 7.18091i) q^{94} +(-11.1220 + 12.8355i) q^{95} +(-1.97892 - 1.27177i) q^{96} +(-0.355071 + 2.46957i) q^{97} +(2.01501 - 1.29497i) q^{98} +(-1.20496 - 2.63850i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9}+O(q^{10}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9} + 4 q^{10} + q^{11} - 9 q^{12} - 26 q^{13} - q^{14} + 2 q^{15} - 3 q^{16} - 23 q^{17} + q^{18} + 10 q^{19} + 63 q^{20} + 8 q^{21} - 9 q^{23} + 30 q^{24} - 29 q^{25} - 12 q^{26} - 8 q^{27} + 20 q^{28} + 13 q^{29} + 4 q^{30} - 27 q^{31} + 71 q^{32} + q^{33} - 45 q^{34} - 2 q^{35} - 9 q^{36} + 60 q^{37} - 2 q^{38} - 26 q^{39} + 7 q^{40} - 26 q^{41} - q^{42} + 5 q^{43} - 33 q^{44} - 20 q^{45} - 41 q^{46} + 34 q^{47} - 58 q^{48} - 8 q^{49} - 75 q^{50} - q^{51} + 108 q^{52} - 39 q^{53} - 10 q^{54} + 51 q^{55} + 3 q^{56} + 10 q^{57} + 47 q^{58} - 66 q^{59} + 19 q^{60} + 3 q^{61} + 103 q^{62} + 8 q^{63} - 25 q^{64} + 39 q^{65} - 33 q^{66} + 33 q^{67} - 88 q^{68} + 13 q^{69} + 18 q^{70} - 12 q^{71} - 25 q^{72} - 98 q^{73} + 123 q^{74} + 4 q^{75} - 41 q^{76} - 12 q^{77} + 10 q^{78} - 34 q^{79} + 163 q^{80} - 8 q^{81} + 48 q^{82} + 26 q^{83} + 9 q^{84} + 35 q^{85} + 4 q^{86} + 2 q^{87} + 178 q^{88} - 63 q^{89} + 4 q^{90} - 62 q^{91} - 39 q^{92} + 138 q^{93} - 28 q^{94} - 80 q^{95} - 17 q^{96} - 44 q^{97} + q^{98} + q^{99}+O(q^{100}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9 + 4 * q^10 + q^11 - 9 * q^12 - 26 * q^13 - q^14 + 2 * q^15 - 3 * q^16 - 23 * q^17 + q^18 + 10 * q^19 + 63 * q^20 + 8 * q^21 - 9 * q^23 + 30 * q^24 - 29 * q^25 - 12 * q^26 - 8 * q^27 + 20 * q^28 + 13 * q^29 + 4 * q^30 - 27 * q^31 + 71 * q^32 + q^33 - 45 * q^34 - 2 * q^35 - 9 * q^36 + 60 * q^37 - 2 * q^38 - 26 * q^39 + 7 * q^40 - 26 * q^41 - q^42 + 5 * q^43 - 33 * q^44 - 20 * q^45 - 41 * q^46 + 34 * q^47 - 58 * q^48 - 8 * q^49 - 75 * q^50 - q^51 + 108 * q^52 - 39 * q^53 - 10 * q^54 + 51 * q^55 + 3 * q^56 + 10 * q^57 + 47 * q^58 - 66 * q^59 + 19 * q^60 + 3 * q^61 + 103 * q^62 + 8 * q^63 - 25 * q^64 + 39 * q^65 - 33 * q^66 + 33 * q^67 - 88 * q^68 + 13 * q^69 + 18 * q^70 - 12 * q^71 - 25 * q^72 - 98 * q^73 + 123 * q^74 + 4 * q^75 - 41 * q^76 - 12 * q^77 + 10 * q^78 - 34 * q^79 + 163 * q^80 - 8 * q^81 + 48 * q^82 + 26 * q^83 + 9 * q^84 + 35 * q^85 + 4 * q^86 + 2 * q^87 + 178 * q^88 - 63 * q^89 + 4 * q^90 - 62 * q^91 - 39 * q^92 + 138 * q^93 - 28 * q^94 - 80 * q^95 - 17 * q^96 - 44 * q^97 + q^98 + q^99

Introduction

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