LMFDB - Embedded newform 670.2.k.b.81.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [670,2,Mod(81,670)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(670, base_ring=CyclotomicField(22))

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

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

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

chi := DirichletCharacter("670.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 670 = 2 \cdot 5 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	670.k (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:	$5.34997693543$
Analytic rank:	$0$
Dimension:	$50$
Relative dimension:	$5$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			81.3
Character	$\chi$	$=$	670.81
Dual form			670.2.k.b.91.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 + 0.909632i) q^{2} +(-0.326609 - 0.209899i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(0.142315 + 0.989821i) q^{5} +(0.0552524 - 0.384289i) q^{6} +(1.81684 + 3.97833i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-1.18363 - 2.59179i) q^{9} +O(q^{10})$	\(q+(0.415415 + 0.909632i) q^{2} +(-0.326609 - 0.209899i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(0.142315 + 0.989821i) q^{5} +(0.0552524 - 0.384289i) q^{6} +(1.81684 + 3.97833i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-1.18363 - 2.59179i) q^{9} +(-0.841254 + 0.540641i) q^{10} +(0.405766 + 2.82217i) q^{11} +(0.372514 - 0.109380i) q^{12} +(0.691469 - 0.203033i) q^{13} +(-2.86407 + 3.30532i) q^{14} +(0.161281 - 0.353156i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-2.18917 - 2.52644i) q^{17} +(1.86587 - 2.15333i) q^{18} +(-2.11094 + 4.62231i) q^{19} +(-0.841254 - 0.540641i) q^{20} +(0.241650 - 1.68071i) q^{21} +(-2.39857 + 1.54147i) q^{22} +(3.54866 + 2.28058i) q^{23} +(0.254244 + 0.293413i) q^{24} +(-0.959493 + 0.281733i) q^{25} +(0.471932 + 0.544639i) q^{26} +(-0.323186 + 2.24781i) q^{27} +(-4.19640 - 1.23217i) q^{28} -9.08219 q^{29} +0.388241 q^{30} +(1.05498 + 0.309769i) q^{31} +(0.841254 - 0.540641i) q^{32} +(0.459843 - 1.00692i) q^{33} +(1.38871 - 3.04086i) q^{34} +(-3.67927 + 2.36452i) q^{35} +(2.73385 + 0.802732i) q^{36} +2.90938 q^{37} -5.08152 q^{38} +(-0.268456 - 0.0788259i) q^{39} +(0.142315 - 0.989821i) q^{40} +(6.94807 + 8.01850i) q^{41} +(1.62921 - 0.478380i) q^{42} +(0.267874 + 0.309143i) q^{43} +(-2.39857 - 1.54147i) q^{44} +(2.39696 - 1.54043i) q^{45} +(-0.600326 + 4.17536i) q^{46} +(-7.25092 - 4.65989i) q^{47} +(-0.161281 + 0.353156i) q^{48} +(-7.94217 + 9.16575i) q^{49} +(-0.654861 - 0.755750i) q^{50} +(0.184706 + 1.28466i) q^{51} +(-0.299373 + 0.655536i) q^{52} +(-2.91081 + 3.35925i) q^{53} +(-2.17894 + 0.639794i) q^{54} +(-2.73569 + 0.803272i) q^{55} +(-0.622422 - 4.32904i) q^{56} +(1.65967 - 1.06661i) q^{57} +(-3.77288 - 8.26145i) q^{58} +(3.59834 + 1.05657i) q^{59} +(0.161281 + 0.353156i) q^{60} +(-0.536003 + 3.72798i) q^{61} +(0.156477 + 1.08832i) q^{62} +(8.16051 - 9.41773i) q^{63} +(0.841254 + 0.540641i) q^{64} +(0.299373 + 0.655536i) q^{65} +1.10695 q^{66} +(8.15376 - 0.718427i) q^{67} +3.34295 q^{68} +(-0.680331 - 1.48972i) q^{69} +(-3.67927 - 2.36452i) q^{70} +(2.75370 - 3.17793i) q^{71} +(0.405493 + 2.82027i) q^{72} +(-0.0908950 + 0.632188i) q^{73} +(1.20860 + 2.64646i) q^{74} +(0.372514 + 0.109380i) q^{75} +(-2.11094 - 4.62231i) q^{76} +(-10.4903 + 6.74170i) q^{77} +(-0.0398182 - 0.276942i) q^{78} +(8.21309 - 2.41158i) q^{79} +(0.959493 - 0.281733i) q^{80} +(-5.02025 + 5.79368i) q^{81} +(-4.40755 + 9.65119i) q^{82} +(-1.18262 - 8.22529i) q^{83} +(1.11195 + 1.28326i) q^{84} +(2.18917 - 2.52644i) q^{85} +(-0.169928 + 0.372089i) q^{86} +(2.96633 + 1.90634i) q^{87} +(0.405766 - 2.82217i) q^{88} +(11.5585 - 7.42821i) q^{89} +(2.39696 + 1.54043i) q^{90} +(2.06402 + 2.38201i) q^{91} +(-4.04743 + 1.18843i) q^{92} +(-0.279545 - 0.322612i) q^{93} +(1.22664 - 8.53146i) q^{94} +(-4.87568 - 1.43163i) q^{95} -0.388241 q^{96} +10.9446 q^{97} +(-11.6368 - 3.41686i) q^{98} +(6.83418 - 4.39206i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9}+O(q^{10}) $ 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9	\( 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9} + 5 q^{10} + 30 q^{11} - 9 q^{12} + 20 q^{13} - 21 q^{14} - 2 q^{15} - 5 q^{16} + 2 q^{17} - q^{18} + 4 q^{19} + 5 q^{20} + 23 q^{21} - 3 q^{22} - 5 q^{23} + 2 q^{24} - 5 q^{25} - 2 q^{26} + 2 q^{27} - 10 q^{28} + 26 q^{29} - 2 q^{30} + 3 q^{31} - 5 q^{32} + 38 q^{33} + 2 q^{34} - 12 q^{35} - q^{36} + 22 q^{37} - 40 q^{38} - 35 q^{39} + 5 q^{40} - 18 q^{41} - 10 q^{42} + 87 q^{43} - 3 q^{44} + 12 q^{45} + 17 q^{46} + 35 q^{47} + 2 q^{48} + 60 q^{49} - 5 q^{50} + 19 q^{51} - 24 q^{52} - 9 q^{53} + 2 q^{54} + 25 q^{55} + 12 q^{56} + 64 q^{57} + 4 q^{58} - 49 q^{59} - 2 q^{60} - 47 q^{61} - 19 q^{62} - 24 q^{63} - 5 q^{64} + 24 q^{65} - 6 q^{66} - 21 q^{67} + 2 q^{68} - 25 q^{69} - 12 q^{70} + 92 q^{71} - q^{72} + 18 q^{73} - 22 q^{74} - 9 q^{75} + 4 q^{76} - 65 q^{77} + 31 q^{78} - 58 q^{79} + 5 q^{80} - 77 q^{81} - 18 q^{82} - 49 q^{83} - 54 q^{84} - 2 q^{85} - q^{86} - 147 q^{87} + 30 q^{88} - 21 q^{89} + 12 q^{90} + 62 q^{91} + 6 q^{92} - 34 q^{93} - 9 q^{94} + 7 q^{95} + 2 q^{96} + 98 q^{97} - 39 q^{98} - 4 q^{99}+O(q^{100}) \) 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9 + 5 * q^10 + 30 * q^11 - 9 * q^12 + 20 * q^13 - 21 * q^14 - 2 * q^15 - 5 * q^16 + 2 * q^17 - q^18 + 4 * q^19 + 5 * q^20 + 23 * q^21 - 3 * q^22 - 5 * q^23 + 2 * q^24 - 5 * q^25 - 2 * q^26 + 2 * q^27 - 10 * q^28 + 26 * q^29 - 2 * q^30 + 3 * q^31 - 5 * q^32 + 38 * q^33 + 2 * q^34 - 12 * q^35 - q^36 + 22 * q^37 - 40 * q^38 - 35 * q^39 + 5 * q^40 - 18 * q^41 - 10 * q^42 + 87 * q^43 - 3 * q^44 + 12 * q^45 + 17 * q^46 + 35 * q^47 + 2 * q^48 + 60 * q^49 - 5 * q^50 + 19 * q^51 - 24 * q^52 - 9 * q^53 + 2 * q^54 + 25 * q^55 + 12 * q^56 + 64 * q^57 + 4 * q^58 - 49 * q^59 - 2 * q^60 - 47 * q^61 - 19 * q^62 - 24 * q^63 - 5 * q^64 + 24 * q^65 - 6 * q^66 - 21 * q^67 + 2 * q^68 - 25 * q^69 - 12 * q^70 + 92 * q^71 - q^72 + 18 * q^73 - 22 * q^74 - 9 * q^75 + 4 * q^76 - 65 * q^77 + 31 * q^78 - 58 * q^79 + 5 * q^80 - 77 * q^81 - 18 * q^82 - 49 * q^83 - 54 * q^84 - 2 * q^85 - q^86 - 147 * q^87 + 30 * q^88 - 21 * q^89 + 12 * q^90 + 62 * q^91 + 6 * q^92 - 34 * q^93 - 9 * q^94 + 7 * q^95 + 2 * q^96 + 98 * q^97 - 39 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/670\mathbb{Z}\right)^\times$.

$n$	$471$	$537$
$\chi(n)$	$e\left(\frac{4}{11}\right)$	$1$

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 $

$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$3$	−0.326609	−	0.209899i	−0.188568	−	0.121185i	0.442951	−	0.896546i	$-0.353932\pi$
$3$	−0.326609	−	0.209899i	−0.188568	−	0.121185i	−0.631519	+	0.775361i	$0.717568\pi$
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	0.142315	+	0.989821i	0.0636451	+	0.442662i
$5$	0.142315	+	0.989821i	0.0636451	+	0.442662i
$6$	0.0552524	−	0.384289i	0.0225567	−	0.156885i
$7$	1.81684	+	3.97833i	0.686702	+	1.50367i	0.855383	+	0.517997i	$0.173322\pi$
$7$	1.81684	+	3.97833i	0.686702	+	1.50367i	−0.168681	+	0.985671i	$0.553951\pi$
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	−1.18363	−	2.59179i	−0.394543	−	0.863929i
$10$	−0.841254	+	0.540641i	−0.266028	+	0.170966i
$11$	0.405766	+	2.82217i	0.122343	+	0.850915i	0.954890	+	0.296960i	$0.0959729\pi$
$11$	0.405766	+	2.82217i	0.122343	+	0.850915i	−0.832547	+	0.553955i	$0.813118\pi$
$12$	0.372514	−	0.109380i	0.107536	−	0.0315753i
$13$	0.691469	−	0.203033i	0.191779	−	0.0563114i	−0.184433	−	0.982845i	$-0.559045\pi$
$13$	0.691469	−	0.203033i	0.191779	−	0.0563114i	0.376212	+	0.926534i	$0.377227\pi$
$14$	−2.86407	+	3.30532i	−0.765456	+	0.883383i
$15$	0.161281	−	0.353156i	0.0416426	−	0.0911846i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	−2.18917	−	2.52644i	−0.530951	−	0.612750i	0.425387	−	0.905011i	$-0.360138\pi$
$17$	−2.18917	−	2.52644i	−0.530951	−	0.612750i	−0.956339	+	0.292261i	$0.905592\pi$
$18$	1.86587	−	2.15333i	0.439791	−	0.507546i
$19$	−2.11094	+	4.62231i	−0.484283	+	1.06043i	0.496981	+	0.867761i	$0.334442\pi$
$19$	−2.11094	+	4.62231i	−0.484283	+	1.06043i	−0.981264	+	0.192670i	$0.938285\pi$
$20$	−0.841254	−	0.540641i	−0.188110	−	0.120891i
$21$	0.241650	−	1.68071i	0.0527323	−	0.366761i
$22$	−2.39857	+	1.54147i	−0.511377	+	0.328642i
$23$	3.54866	+	2.28058i	0.739946	+	0.475534i	0.855523	−	0.517764i	$-0.173235\pi$
$23$	3.54866	+	2.28058i	0.739946	+	0.475534i	−0.115577	+	0.993298i	$0.536872\pi$
$24$	0.254244	+	0.293413i	0.0518973	+	0.0598927i
$25$	−0.959493	+	0.281733i	−0.191899	+	0.0563465i
$26$	0.471932	+	0.544639i	0.0925535	+	0.106812i
$27$	−0.323186	+	2.24781i	−0.0621972	+	0.432591i
$28$	−4.19640	−	1.23217i	−0.793045	−	0.232859i
$29$	−9.08219			−1.68652			−0.843260	−	0.537505i	$-0.819367\pi$
$29$	−9.08219			−1.68652			−0.843260	+	0.537505i	$0.819367\pi$
$30$	0.388241			0.0708828
$31$	1.05498	+	0.309769i	0.189480	+	0.0556362i	0.375096	−	0.926986i	$-0.377610\pi$
$31$	1.05498	+	0.309769i	0.189480	+	0.0556362i	−0.185616	+	0.982622i	$0.559428\pi$
$32$	0.841254	−	0.540641i	0.148714	−	0.0955727i
$33$	0.459843	−	1.00692i	0.0800483	−	0.175281i
$34$	1.38871	−	3.04086i	0.238162	−	0.521503i
$35$	−3.67927	+	2.36452i	−0.621911	+	0.399678i
$36$	2.73385	+	0.802732i	0.455642	+	0.133789i
$37$	2.90938			0.478299			0.239150	−	0.970983i	$-0.423131\pi$
$37$	2.90938			0.478299			0.239150	+	0.970983i	$0.423131\pi$
$38$	−5.08152			−0.824331
$39$	−0.268456	−	0.0788259i	−0.0429874	−	0.0126222i
$40$	0.142315	−	0.989821i	0.0225020	−	0.156505i
$41$	6.94807	+	8.01850i	1.08511	+	1.25228i	0.965763	+	0.259426i	$0.0835333\pi$
$41$	6.94807	+	8.01850i	1.08511	+	1.25228i	0.119343	+	0.992853i	$0.461921\pi$
$42$	1.62921	−	0.478380i	0.251393	−	0.0738157i
$43$	0.267874	+	0.309143i	0.0408504	+	0.0471439i	0.775807	−	0.630970i	$-0.217343\pi$
$43$	0.267874	+	0.309143i	0.0408504	+	0.0471439i	−0.734957	+	0.678114i	$0.762798\pi$
$44$	−2.39857	−	1.54147i	−0.361598	−	0.232385i
$45$	2.39696	−	1.54043i	0.357317	−	0.229634i
$46$	−0.600326	+	4.17536i	−0.0885133	+	0.615623i
$47$	−7.25092	−	4.65989i	−1.05766	−	0.679714i	−0.108364	−	0.994111i	$-0.534561\pi$
$47$	−7.25092	−	4.65989i	−1.05766	−	0.679714i	−0.949292	+	0.314397i	$0.898198\pi$
$48$	−0.161281	+	0.353156i	−0.0232789	+	0.0509737i
$49$	−7.94217	+	9.16575i	−1.13460	+	1.30939i
$50$	−0.654861	−	0.755750i	−0.0926113	−	0.106879i
$51$	0.184706	+	1.28466i	0.0258641	+	0.179888i
$52$	−0.299373	+	0.655536i	−0.0415156	+	0.0909064i
$53$	−2.91081	+	3.35925i	−0.399830	+	0.461428i	−0.919587	−	0.392886i	$-0.871477\pi$
$53$	−2.91081	+	3.35925i	−0.399830	+	0.461428i	0.519757	+	0.854314i	$0.326022\pi$
$54$	−2.17894	+	0.639794i	−0.296516	+	0.0870649i
$55$	−2.73569	+	0.803272i	−0.368881	+	0.108313i
$56$	−0.622422	−	4.32904i	−0.0831747	−	0.578493i
$57$	1.65967	−	1.06661i	0.219829	−	0.141275i
$58$	−3.77288	−	8.26145i	−0.495403	−	1.08478i
$59$	3.59834	+	1.05657i	0.468464	+	0.137553i	0.507441	−	0.861687i	$-0.330592\pi$
$59$	3.59834	+	1.05657i	0.468464	+	0.137553i	−0.0389767	+	0.999240i	$0.512410\pi$
$60$	0.161281	+	0.353156i	0.0208213	+	0.0455923i
$61$	−0.536003	+	3.72798i	−0.0686282	+	0.477319i	0.926305	+	0.376776i	$0.122967\pi$
$61$	−0.536003	+	3.72798i	−0.0686282	+	0.477319i	−0.994933	+	0.100544i	$0.967942\pi$
$62$	0.156477	+	1.08832i	0.0198727	+	0.138217i
$63$	8.16051	−	9.41773i	1.02813	−	1.18652i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	0.299373	+	0.655536i	0.0371327	+	0.0813092i
$66$	1.10695			0.136256
$67$	8.15376	−	0.718427i	0.996141	−	0.0877698i
$67$	8.15376	−	0.718427i	0.996141	−	0.0877698i
$68$	3.34295			0.405393
$69$	−0.680331	−	1.48972i	−0.0819023	−	0.179341i
$70$	−3.67927	−	2.36452i	−0.439757	−	0.282615i
$71$	2.75370	−	3.17793i	0.326804	−	0.377151i	−0.568443	−	0.822723i	$-0.692454\pi$
$71$	2.75370	−	3.17793i	0.326804	−	0.377151i	0.895246	+	0.445571i	$0.146999\pi$
$72$	0.405493	+	2.82027i	0.0477878	+	0.332372i
$73$	−0.0908950	+	0.632188i	−0.0106384	+	0.0739920i	−0.994449	−	0.105219i	$-0.966446\pi$
$73$	−0.0908950	+	0.632188i	−0.0106384	+	0.0739920i	0.983811	+	0.179211i	$0.0573546\pi$
$74$	1.20860	+	2.64646i	0.140497	+	0.307645i
$75$	0.372514	+	0.109380i	0.0430143	+	0.0126301i
$76$	−2.11094	−	4.62231i	−0.242141	−	0.530216i
$77$	−10.4903	+	6.74170i	−1.19548	+	0.768289i
$78$	−0.0398182	−	0.276942i	−0.00450853	−	0.0313575i
$79$	8.21309	−	2.41158i	0.924044	−	0.271324i	0.215103	−	0.976591i	$-0.430991\pi$
$79$	8.21309	−	2.41158i	0.924044	−	0.271324i	0.708941	+	0.705267i	$0.249173\pi$
$80$	0.959493	−	0.281733i	0.107275	−	0.0314987i
$81$	−5.02025	+	5.79368i	−0.557806	+	0.643743i
$82$	−4.40755	+	9.65119i	−0.486732	+	1.06580i
$83$	−1.18262	−	8.22529i	−0.129809	−	0.902843i	−0.945793	−	0.324769i	$-0.894713\pi$
$83$	−1.18262	−	8.22529i	−0.129809	−	0.902843i	0.815984	−	0.578074i	$-0.196196\pi$
$84$	1.11195	+	1.28326i	0.121324	+	0.140015i
$85$	2.18917	−	2.52644i	0.237449	−	0.274030i
$86$	−0.169928	+	0.372089i	−0.0183238	+	0.0401234i
$87$	2.96633	+	1.90634i	0.318023	+	0.204381i
$88$	0.405766	−	2.82217i	0.0432548	−	0.300844i
$89$	11.5585	−	7.42821i	1.22520	−	0.787389i	0.242064	−	0.970260i	$-0.422176\pi$
$89$	11.5585	−	7.42821i	1.22520	−	0.787389i	0.983137	+	0.182872i	$0.0585393\pi$
$90$	2.39696	+	1.54043i	0.252662	+	0.162376i
$91$	2.06402	+	2.38201i	0.216368	+	0.249703i
$92$	−4.04743	+	1.18843i	−0.421973	+	0.123903i
$93$	−0.279545	−	0.322612i	−0.0289875	−	0.0334533i
$94$	1.22664	−	8.53146i	0.126518	−	0.879953i
$95$	−4.87568	−	1.43163i	−0.500234	−	0.146882i
$96$	−0.388241			−0.0396247
$97$	10.9446			1.11126			0.555629	−	0.831430i	$-0.312477\pi$
$97$	10.9446			1.11126			0.555629	+	0.831430i	$0.312477\pi$
$98$	−11.6368	−	3.41686i	−1.17549	−	0.345155i
$99$	6.83418	−	4.39206i	0.686861	−	0.441418i
$100$	0.415415	−	0.909632i	0.0415415	−	0.0909632i
$101$	3.61913	−	7.92479i	0.360117	−	0.788546i	−0.639685	−	0.768637i	$-0.720935\pi$
$101$	3.61913	−	7.92479i	0.360117	−	0.788546i	0.999802	−	0.0199091i	$-0.00633767\pi$
$102$	−1.09184	+	0.701682i	−0.108108	+	0.0694769i
$103$	−3.50957	−	1.03050i	−0.345808	−	0.101538i	0.104216	−	0.994555i	$-0.466767\pi$
$103$	−3.50957	−	1.03050i	−0.345808	−	0.101538i	−0.450025	+	0.893016i	$0.648585\pi$
$104$	−0.720660			−0.0706666
$105$	1.69799			0.165707
$106$	−4.26487	−	1.25228i	−0.414241	−	0.121632i
$107$	1.08278	−	7.53088i	0.104676	−	0.728038i	−0.868117	−	0.496360i	$-0.834669\pi$
$107$	1.08278	−	7.53088i	0.104676	−	0.728038i	0.972793	−	0.231678i	$-0.0744214\pi$
$108$	−1.48714	−	1.71625i	−0.143100	−	0.165146i
$109$	4.22734	−	1.24126i	0.404906	−	0.118891i	−0.0729366	−	0.997337i	$-0.523237\pi$
$109$	4.22734	−	1.24126i	0.404906	−	0.118891i	0.477843	+	0.878445i	$0.341419\pi$
$110$	−1.86713	−	2.15478i	−0.178024	−	0.205451i
$111$	−0.950230	−	0.610675i	−0.0901918	−	0.0579628i
$112$	3.67927	−	2.36452i	0.347659	−	0.223427i
$113$	0.830467	−	5.77602i	0.0781238	−	0.543363i	−0.912745	−	0.408530i	$-0.866041\pi$
$113$	0.830467	−	5.77602i	0.0781238	−	0.543363i	0.990868	−	0.134832i	$-0.0430495\pi$
$114$	1.65967	+	1.06661i	0.155442	+	0.0998967i
$115$	−1.75234	+	3.83710i	−0.163407	+	0.357811i
$116$	5.94757	−	6.86386i	0.552218	−	0.637294i
$117$	−1.34466	−	1.55182i	−0.124314	−	0.143466i
$118$	0.533716	+	3.71208i	0.0491326	+	0.341725i
$119$	6.07362	−	13.2994i	0.556768	−	1.21915i
$120$	−0.254244	+	0.293413i	−0.0232092	+	0.0267848i
$121$	2.75444	−	0.808777i	0.250404	−	0.0735252i
$122$	−3.61376	+	1.06109i	−0.327174	+	0.0960670i
$123$	−0.586228	−	4.07731i	−0.0528584	−	0.367638i
$124$	−0.924972	+	0.594443i	−0.0830649	+	0.0533826i
$125$	−0.415415	−	0.909632i	−0.0371558	−	0.0813600i
$126$	11.9567	+	3.51080i	1.06519	+	0.312767i
$127$	−5.09849	−	11.1641i	−0.452418	−	0.990656i	−0.989151	−	0.146904i	$-0.953069\pi$
$127$	−5.09849	−	11.1641i	−0.452418	−	0.990656i	0.536733	−	0.843752i	$-0.319658\pi$
$128$	−0.142315	+	0.989821i	−0.0125790	+	0.0874887i
$129$	−0.0226013	−	0.157195i	−0.00198993	−	0.0138403i
$130$	−0.471932	+	0.544639i	−0.0413912	+	0.0477680i
$131$	8.24142	+	5.29644i	0.720056	+	0.462752i	0.848656	−	0.528945i	$-0.177412\pi$
$131$	8.24142	+	5.29644i	0.720056	+	0.462752i	−0.128600	+	0.991697i	$0.541048\pi$
$132$	0.459843	+	1.00692i	0.0400242	+	0.0876407i
$133$	−22.2243			−1.92709
$134$	4.04070	+	7.11848i	0.349063	+	0.614943i
$135$	−2.27093			−0.195450
$136$	1.38871	+	3.04086i	0.119081	+	0.260751i
$137$	17.2827	+	11.1069i	1.47656	+	0.948927i	0.997465	+	0.0711632i	$0.0226711\pi$
$137$	17.2827	+	11.1069i	1.47656	+	0.948927i	0.479094	+	0.877764i	$0.340965\pi$
$138$	1.07248	−	1.23770i	0.0912951	−	0.105360i
$139$	1.36248	+	9.47627i	0.115564	+	0.803767i	0.962346	+	0.271827i	$0.0876278\pi$
$139$	1.36248	+	9.47627i	0.115564	+	0.803767i	−0.846782	+	0.531940i	$0.821463\pi$
$140$	0.622422	−	4.32904i	0.0526043	−	0.365871i
$141$	1.39011	+	3.04392i	0.117069	+	0.256344i
$142$	4.03468	+	1.18469i	0.338583	+	0.0994168i
$143$	0.853569	+	1.86906i	0.0713790	+	0.156298i
$144$	−2.39696	+	1.54043i	−0.199746	+	0.128369i
$145$	−1.29253	−	8.98975i	−0.107339	−	0.746558i
$146$	−0.612818	+	0.179940i	−0.0507172	+	0.0148919i
$147$	4.51786	−	1.32656i	0.372627	−	0.109413i
$148$	−1.90524	+	2.19876i	−0.156610	+	0.180737i
$149$	−2.17858	+	4.77042i	−0.178476	+	0.390808i	−0.977634	−	0.210313i	$-0.932552\pi$
$149$	−2.17858	+	4.77042i	−0.178476	+	0.390808i	0.799158	+	0.601121i	$0.205279\pi$
$150$	0.0552524	+	0.384289i	0.00451134	+	0.0313771i
$151$	−0.0670626	−	0.0773944i	−0.00545748	−	0.00629826i	0.753014	−	0.658004i	$-0.228599\pi$
$151$	−0.0670626	−	0.0773944i	−0.00545748	−	0.00629826i	−0.758472	+	0.651706i	$0.774054\pi$
$152$	3.32769	−	3.84036i	0.269911	−	0.311494i
$153$	−3.95682	+	8.66422i	−0.319890	+	0.700461i
$154$	−10.4903	−	6.74170i	−0.845332	−	0.543262i
$155$	−0.156477	+	1.08832i	−0.0125686	+	0.0874163i
$156$	0.235374	−	0.151266i	0.0188450	−	0.0121110i
$157$	9.51557	+	6.11529i	0.759425	+	0.488053i	0.862148	−	0.506657i	$-0.169119\pi$
$157$	9.51557	+	6.11529i	0.759425	+	0.488053i	−0.102722	+	0.994710i	$0.532755\pi$
$158$	5.60549	+	6.46908i	0.445949	+	0.514652i
$159$	1.65580	−	0.486186i	0.131313	−	0.0385571i
$160$	0.654861	+	0.755750i	0.0517713	+	0.0597472i
$161$	−2.62556	+	18.2612i	−0.206923	+	1.43918i
$162$	−7.35561	−	2.15980i	−0.577911	−	0.169690i
$163$	21.2366			1.66338			0.831690	−	0.555241i	$-0.187374\pi$
$163$	21.2366			1.66338			0.831690	+	0.555241i	$0.187374\pi$
$164$	−10.6100			−0.828501
$165$	1.06211	+	0.311863i	0.0826850	+	0.0242785i
$166$	6.99071	−	4.49266i	0.542585	−	0.348698i
$167$	4.05376	−	8.87649i	0.313689	−	0.686884i	−0.685461	−	0.728110i	$-0.740399\pi$
$167$	4.05376	−	8.87649i	0.313689	−	0.686884i	0.999150	+	0.0412261i	$0.0131264\pi$
$168$	−0.705372	+	1.54455i	−0.0544207	+	0.119165i
$169$	−10.4994	+	6.74755i	−0.807645	+	0.519042i
$170$	3.20754	+	0.941819i	0.246007	+	0.0722342i
$171$	14.4786			1.10721
$172$	−0.409055			−0.0311901
$173$	−22.3622	−	6.56615i	−1.70017	−	0.499215i	−0.719435	−	0.694560i	$-0.755599\pi$
$173$	−22.3622	−	6.56615i	−1.70017	−	0.499215i	−0.980735	+	0.195345i	$0.937417\pi$
$174$	−0.501813	+	3.49019i	−0.0380424	+	0.264590i
$175$	−2.86407	−	3.30532i	−0.216504	−	0.249858i
$176$	2.73569	−	0.803272i	0.206211	−	0.0605489i
$177$	−0.953478	−	1.10037i	−0.0716678	−	0.0827090i
$178$	11.5585	+	7.42821i	0.866348	+	0.556768i
$179$	7.09064	−	4.55688i	0.529980	−	0.340597i	−0.248129	−	0.968727i	$-0.579816\pi$
$179$	7.09064	−	4.55688i	0.529980	−	0.340597i	0.778109	+	0.628130i	$0.216179\pi$
$180$	−0.405493	+	2.82027i	−0.0302237	+	0.210210i
$181$	12.6798	+	8.14884i	0.942485	+	0.605699i	0.919098	−	0.394028i	$-0.128919\pi$
$181$	12.6798	+	8.14884i	0.942485	+	0.605699i	0.0233868	+	0.999726i	$0.492555\pi$
$182$	−1.30933	+	2.86702i	−0.0970537	+	0.212518i
$183$	0.957563	−	1.10509i	0.0707851	−	0.0816903i
$184$	−2.76240	−	3.18798i	−0.203647	−	0.235021i
$185$	0.414048	+	2.87977i	0.0304414	+	0.211725i
$186$	0.177331	−	0.388301i	0.0130026	−	0.0284716i
$187$	6.24173	−	7.20334i	0.456441	−	0.526760i
$188$	8.27005	−	2.42831i	0.603156	−	0.177102i
$189$	−9.52971	+	2.79818i	−0.693184	+	0.203537i
$190$	−0.723176	−	5.02980i	−0.0524647	−	0.364900i
$191$	−2.33623	+	1.50140i	−0.169044	+	0.108638i	−0.622427	−	0.782678i	$-0.713853\pi$
$191$	−2.33623	+	1.50140i	−0.169044	+	0.108638i	0.453383	+	0.891316i	$0.350217\pi$
$192$	−0.161281	−	0.353156i	−0.0116395	−	0.0254869i
$193$	−17.4687	−	5.12927i	−1.25742	−	0.369213i	−0.415889	−	0.909415i	$-0.636530\pi$
$193$	−17.4687	−	5.12927i	−1.25742	−	0.369213i	−0.841535	+	0.540202i	$0.818348\pi$
$194$	4.54656	+	9.95558i	0.326424	+	0.714769i
$195$	0.0398182	−	0.276942i	0.00285144	−	0.0198322i
$196$	−1.72600	−	12.0046i	−0.123286	−	0.857470i
$197$	5.21032	−	6.01303i	0.371220	−	0.428410i	−0.539148	−	0.842211i	$-0.681254\pi$
$197$	5.21032	−	6.01303i	0.371220	−	0.428410i	0.910367	+	0.413801i	$0.135799\pi$
$198$	6.83418	+	4.39206i	0.485684	+	0.312130i
$199$	9.77370	+	21.4014i	0.692839	+	1.51711i	0.848443	+	0.529287i	$0.177541\pi$
$199$	9.77370	+	21.4014i	0.692839	+	1.51711i	−0.155603	+	0.987820i	$0.549732\pi$
$200$	1.00000			0.0707107
$201$	−2.81389	−	1.47682i	−0.198476	−	0.104167i
$202$	8.71209			0.612980
$203$	−16.5009	−	36.1320i	−1.15814	−	2.53597i
$204$	−1.09184	−	0.701682i	−0.0764440	−	0.0491276i
$205$	−6.94807	+	8.01850i	−0.485274	+	0.560036i
$206$	−0.520550	−	3.62051i	−0.0362684	−	0.252253i
$207$	1.71049	−	11.8967i	0.118887	−	0.826879i
$208$	−0.299373	−	0.655536i	−0.0207578	−	0.0454532i
$209$	−13.9015	−	4.08184i	−0.961586	−	0.282347i
$210$	0.705372	+	1.54455i	0.0486753	+	0.106584i
$211$	−20.9295	+	13.4506i	−1.44085	+	0.925976i	−0.441256	+	0.897381i	$0.645467\pi$
$211$	−20.9295	+	13.4506i	−1.44085	+	0.925976i	−0.999591	+	0.0285945i	$0.990897\pi$
$212$	−0.632579	−	4.39968i	−0.0434457	−	0.302171i
$213$	−1.56643	+	0.459944i	−0.107330	+	0.0315149i
$214$	7.30013	−	2.14351i	0.499027	−	0.146528i
$215$	−0.267874	+	0.309143i	−0.0182689	+	0.0210834i
$216$	0.943376	−	2.06571i	0.0641886	−	0.140554i
$217$	0.684363	+	4.75985i	0.0464576	+	0.323120i
$218$	2.88519	+	3.32969i	0.195410	+	0.225515i
$219$	0.162383	−	0.187400i	0.0109728	−	0.0126633i
$220$	1.18443	−	2.59353i	0.0798540	−	0.174856i
$221$	−2.02669	−	1.30248i	−0.136330	−	0.0876140i
$222$	0.160750	−	1.11804i	0.0107889	−	0.0750381i
$223$	−12.1375	+	7.80028i	−0.812786	+	0.522346i	−0.879765	−	0.475409i	$-0.842300\pi$
$223$	−12.1375	+	7.80028i	−0.812786	+	0.522346i	0.0669794	+	0.997754i	$0.478664\pi$
$224$	3.67927	+	2.36452i	0.245832	+	0.157986i
$225$	1.86587	+	2.15333i	0.124392	+	0.143556i
$226$	5.59904	−	1.64403i	0.372443	−	0.109359i
$227$	−0.0918509	−	0.106002i	−0.00609636	−	0.00703557i	0.752693	−	0.658371i	$-0.228754\pi$
$227$	−0.0918509	−	0.106002i	−0.00609636	−	0.00703557i	−0.758790	+	0.651336i	$0.774209\pi$
$228$	−0.280766	+	1.95277i	−0.0185942	+	0.129326i
$229$	5.17940	+	1.52081i	0.342265	+	0.100498i	0.448348	−	0.893859i	$-0.352013\pi$
$229$	5.17940	+	1.52081i	0.342265	+	0.100498i	−0.106083	+	0.994357i	$0.533831\pi$
$230$	−4.21830			−0.278146
$231$	4.84130			0.318534
$232$	8.71430	+	2.55875i	0.572122	+	0.167990i
$233$	16.2592	−	10.4491i	1.06517	−	0.684546i	0.114088	−	0.993471i	$-0.463605\pi$
$233$	16.2592	−	10.4491i	1.06517	−	0.684546i	0.951086	+	0.308925i	$0.0999691\pi$
$234$	0.852995	−	1.86780i	0.0557620	−	0.122102i
$235$	3.58054	−	7.84029i	0.233569	−	0.511444i
$236$	−3.15491	+	2.02754i	−0.205367	+	0.131982i
$237$	−3.18866	−	0.936274i	−0.207125	−	0.0608175i
$238$	14.6206			0.947713
$239$	−5.35292			−0.346252			−0.173126	−	0.984900i	$-0.555387\pi$
$239$	−5.35292			−0.346252			−0.173126	+	0.984900i	$0.555387\pi$
$240$	−0.372514	−	0.109380i	−0.0240457	−	0.00706045i
$241$	0.703856	−	4.89542i	0.0453393	−	0.315342i	−0.954513	−	0.298169i	$-0.903624\pi$
$241$	0.703856	−	4.89542i	0.0453393	−	0.315342i	0.999853	−	0.0171733i	$-0.00546671\pi$
$242$	1.87993	+	2.16955i	0.120846	+	0.139464i
$243$	9.39256	−	2.75790i	0.602533	−	0.176920i
$244$	−2.46641	−	2.84639i	−0.157896	−	0.182222i
$245$	−10.2027	−	6.55691i	−0.651829	−	0.418905i
$246$	3.46532	−	2.22703i	0.220941	−	0.141990i
$247$	−0.521164	+	3.62478i	−0.0331609	+	0.230639i
$248$	−0.924972	−	0.594443i	−0.0587358	−	0.0377472i
$249$	−1.34023	+	2.93469i	−0.0849334	+	0.185978i
$250$	0.654861	−	0.755750i	0.0414170	−	0.0477978i
$251$	9.29813	+	10.7306i	0.586893	+	0.677311i	0.969072	−	0.246778i	$-0.0793717\pi$
$251$	9.29813	+	10.7306i	0.586893	+	0.677311i	−0.382179	+	0.924088i	$0.624826\pi$
$252$	1.77345	+	12.3346i	0.111717	+	0.777007i
$253$	−4.99626	+	10.9403i	−0.314112	+	0.687810i
$254$	8.03726	−	9.27549i	0.504303	−	0.581996i
$255$	−1.24530	+	0.365652i	−0.0779836	+	0.0228980i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−4.37281	−	30.4136i	−0.272769	−	1.89715i	−0.419148	−	0.907918i	$-0.637671\pi$
$257$	−4.37281	−	30.4136i	−0.272769	−	1.89715i	0.146379	−	0.989229i	$-0.453238\pi$
$258$	0.133601	−	0.0858602i	0.00831764	−	0.00534542i
$259$	5.28588	+	11.5745i	0.328449	+	0.719203i
$260$	−0.691469	−	0.203033i	−0.0428831	−	0.0125916i
$261$	10.7499	+	23.5391i	0.665405	+	1.45703i
$262$	−1.39420	+	9.69688i	−0.0861340	+	0.599075i
$263$	−3.16780	−	22.0326i	−0.195335	−	1.35859i	−0.817604	−	0.575782i	$-0.804698\pi$
$263$	−3.16780	−	22.0326i	−0.195335	−	1.35859i	0.622268	−	0.782804i	$-0.286211\pi$
$264$	−0.724897	+	0.836575i	−0.0446143	+	0.0514876i
$265$	−3.73931	−	2.40311i	−0.229704	−	0.147622i
$266$	−9.23232	−	20.2160i	−0.566070	−	1.23952i
$267$	−5.33429			−0.326453
$268$	−4.79663	+	6.63267i	−0.293001	+	0.405155i
$269$	−14.9654			−0.912457			−0.456228	−	0.889863i	$-0.650800\pi$
$269$	−14.9654			−0.912457			−0.456228	+	0.889863i	$0.650800\pi$
$270$	−0.943376	−	2.06571i	−0.0574121	−	0.125715i
$271$	17.6499	+	11.3429i	1.07216	+	0.689033i	0.952733	−	0.303810i	$-0.0982587\pi$
$271$	17.6499	+	11.3429i	1.07216	+	0.689033i	0.119424	+	0.992843i	$0.461895\pi$
$272$	−2.18917	+	2.52644i	−0.132738	+	0.153188i
$273$	−0.174147	−	1.21122i	−0.0105399	−	0.0733065i
$274$	−2.92371	+	20.3349i	−0.176628	+	1.22847i
$275$	−1.18443	−	2.59353i	−0.0714236	−	0.156396i
$276$	1.57138	+	0.461398i	0.0945857	+	0.0277729i
$277$	−3.08281	−	6.75042i	−0.185228	−	0.405593i	0.794124	−	0.607756i	$-0.207930\pi$
$277$	−3.08281	−	6.75042i	−0.185228	−	0.405593i	−0.979352	+	0.202163i	$0.935203\pi$
$278$	−8.05392	+	5.17594i	−0.483042	+	0.310432i
$279$	−0.445846	−	3.10093i	−0.0266921	−	0.185648i
$280$	4.19640	−	1.23217i	0.250783	−	0.0736365i
$281$	−19.7311	+	5.79358i	−1.17706	+	0.345616i	−0.811040	−	0.584991i	$-0.801098\pi$
$281$	−19.7311	+	5.79358i	−1.17706	+	0.345616i	−0.366020	+	0.930607i	$0.619280\pi$
$282$	−2.19137	+	2.52898i	−0.130494	+	0.150599i
$283$	−12.0563	+	26.3995i	−0.716670	+	1.56929i	0.101844	+	0.994800i	$0.467526\pi$
$283$	−12.0563	+	26.3995i	−0.716670	+	1.56929i	−0.818513	+	0.574487i	$0.805201\pi$
$284$	0.598435	+	4.16221i	0.0355106	+	0.246982i
$285$	1.29194	+	1.49098i	0.0765282	+	0.0883182i
$286$	−1.34557	+	1.55287i	−0.0795651	+	0.0918230i
$287$	−19.2767	+	42.2101i	−1.13787	+	2.49158i
$288$	−2.39696	−	1.54043i	−0.141242	−	0.0907708i
$289$	0.828937	−	5.76538i	0.0487610	−	0.339140i
$290$	7.64043	−	4.91020i	0.448661	−	0.288337i
$291$	−3.57461	−	2.29726i	−0.209548	−	0.134668i
$292$	−0.418252	−	0.482689i	−0.0244764	−	0.0282472i
$293$	10.9848	−	3.22544i	0.641741	−	0.188432i	0.0553588	−	0.998467i	$-0.482370\pi$
$293$	10.9848	−	3.22544i	0.641741	−	0.188432i	0.586383	+	0.810034i	$0.300552\pi$
$294$	3.08347	+	3.55852i	0.179832	+	0.207537i
$295$	−0.533716	+	3.71208i	−0.0310742	+	0.216126i
$296$	−2.79153	−	0.819667i	−0.162254	−	0.0476422i
$297$	−6.47483			−0.375708
$298$	−5.24434			−0.303796
$299$	2.91682	+	0.856455i	0.168684	+	0.0495301i
$300$	−0.326609	+	0.209899i	−0.0188568	+	0.0121185i
$301$	−0.743188	+	1.62736i	−0.0428367	+	0.0937992i
$302$	0.0425416	−	0.0931531i	0.00244799	−	0.00536036i
$303$	−2.84545	+	1.82866i	−0.163467	+	0.105054i
$304$	4.87568	+	1.43163i	0.279640	+	0.0821096i
$305$	−3.76632			−0.215659
$306$	−9.52497			−0.544506
$307$	2.96817	+	0.871534i	0.169403	+	0.0497411i	0.365334	−	0.930877i	$-0.380955\pi$
$307$	2.96817	+	0.871534i	0.169403	+	0.0497411i	−0.195931	+	0.980618i	$0.562773\pi$
$308$	1.77464	−	12.3429i	0.101120	−	0.703303i
$309$	0.929956	+	1.07323i	0.0529034	+	0.0610537i
$310$	−1.05498	+	0.309769i	−0.0599187	+	0.0175937i
$311$	−20.7108	−	23.9015i	−1.17440	−	1.35533i	−0.921755	−	0.387772i	$-0.873245\pi$
$311$	−20.7108	−	23.9015i	−1.17440	−	1.35533i	−0.252645	−	0.967559i	$-0.581301\pi$
$312$	0.235374	+	0.151266i	0.0133254	+	0.00856374i
$313$	18.3062	−	11.7647i	1.03473	−	0.664977i	0.0910484	−	0.995846i	$-0.470978\pi$
$313$	18.3062	−	11.7647i	1.03473	−	0.664977i	0.943677	+	0.330869i	$0.107342\pi$
$314$	−1.60975	+	11.1960i	−0.0908434	+	0.631830i
$315$	10.4832	+	6.73717i	0.590664	+	0.379596i
$316$	−3.55588	+	7.78629i	−0.200034	+	0.438013i
$317$	−4.22606	+	4.87713i	−0.237359	+	0.273927i	−0.861915	−	0.507053i	$-0.830735\pi$
$317$	−4.22606	+	4.87713i	−0.237359	+	0.273927i	0.624556	+	0.780980i	$0.285280\pi$
$318$	1.13009	+	1.30420i	0.0633725	+	0.0731358i
$319$	−3.68525	−	25.6315i	−0.206334	−	1.43509i
$320$	−0.415415	+	0.909632i	−0.0232224	+	0.0508500i
$321$	−1.93437	+	2.23238i	−0.107966	+	0.124599i
$322$	−17.7017	+	5.19768i	−0.986475	+	0.289655i
$323$	16.2992	−	4.78587i	0.906910	−	0.266293i
$324$	−1.09101	−	7.58811i	−0.0606114	−	0.421562i
$325$	−0.606258	+	0.389618i	−0.0336291	+	0.0216121i
$326$	8.82200	+	19.3175i	0.488606	+	1.06990i
$327$	−1.64123	−	0.481908i	−0.0907601	−	0.0266496i
$328$	−4.40755	−	9.65119i	−0.243366	−	0.532898i
$329$	5.36478	−	37.3128i	0.295770	−	2.05712i
$330$	0.157535	+	1.09568i	0.00867202	+	0.0603152i
$331$	−3.63189	+	4.19143i	−0.199627	+	0.230382i	−0.846733	−	0.532018i	$-0.821434\pi$
$331$	−3.63189	+	4.19143i	−0.199627	+	0.230382i	0.647106	+	0.762400i	$0.275979\pi$
$332$	6.99071	+	4.49266i	0.383665	+	0.246567i
$333$	−3.44363	−	7.54049i	−0.188710	−	0.413216i
$334$	9.75833			0.533952
$335$	1.87152	+	7.96853i	0.102252	+	0.435367i
$336$	−1.69799			−0.0926332
$337$	−4.51379	−	9.88382i	−0.245882	−	0.538406i	0.745944	−	0.666009i	$-0.231999\pi$
$337$	−4.51379	−	9.88382i	−0.245882	−	0.538406i	−0.991825	+	0.127603i	$0.959272\pi$
$338$	−10.4994	−	6.74755i	−0.571092	−	0.367018i
$339$	−1.48362	+	1.71219i	−0.0805791	+	0.0929933i
$340$	0.475752	+	3.30893i	0.0258013	+	0.179452i
$341$	−0.446147	+	3.10302i	−0.0241602	+	0.168038i
$342$	6.01463	+	13.1702i	0.325234	+	0.712164i
$343$	−21.5192	−	6.31862i	−1.16193	−	0.341173i
$344$	−0.169928	−	0.372089i	−0.00916188	−	0.0200617i
$345$	1.37773	−	0.885416i	0.0741747	−	0.0476692i
$346$	−3.31683	−	23.0691i	−0.178314	−	1.24020i
$347$	−2.51477	+	0.738402i	−0.135000	+	0.0396395i	−0.348534	−	0.937296i	$-0.613321\pi$
$347$	−2.51477	+	0.738402i	−0.135000	+	0.0396395i	0.213535	+	0.976935i	$0.431502\pi$
$348$	−3.38325	+	0.993411i	−0.181361	+	0.0532524i
$349$	2.68993	−	3.10435i	0.143989	−	0.166172i	−0.679174	−	0.733977i	$-0.737662\pi$
$349$	2.68993	−	3.10435i	0.143989	−	0.166172i	0.823163	+	0.567805i	$0.192207\pi$
$350$	1.81684	−	3.97833i	0.0971143	−	0.212651i
$351$	0.232908	+	1.61991i	0.0124317	+	0.0864643i
$352$	1.86713	+	2.15478i	0.0995184	+	0.114850i
$353$	−23.0701	+	26.6243i	−1.22790	+	1.41707i	−0.351010	+	0.936372i	$0.614162\pi$
$353$	−23.0701	+	26.6243i	−1.22790	+	1.41707i	−0.876887	+	0.480697i	$0.840384\pi$
$354$	0.604845	−	1.32443i	0.0321471	−	0.0703924i
$355$	3.53748	+	2.27340i	0.187750	+	0.120660i
$356$	−1.95535	+	13.5998i	−0.103634	+	0.720787i
$357$	−4.77522	+	3.06885i	−0.252731	+	0.162421i
$358$	7.09064	+	4.55688i	0.374752	+	0.240839i
$359$	−9.24767	−	10.6724i	−0.488073	−	0.563267i	0.457276	−	0.889325i	$-0.348825\pi$
$359$	−9.24767	−	10.6724i	−0.488073	−	0.563267i	−0.945350	+	0.326058i	$0.894280\pi$
$360$	−2.73385	+	0.802732i	−0.144087	+	0.0423077i
$361$	−4.46736	−	5.15560i	−0.235124	−	0.271348i
$362$	−2.14505	+	14.9191i	−0.112741	+	0.784133i
$363$	−1.06939	−	0.314000i	−0.0561283	−	0.0164807i
$364$	−3.15185			−0.165202
$365$	−0.638689			−0.0334305
$366$	1.40301	+	0.411960i	0.0733364	+	0.0215335i
$367$	10.4838	−	6.73754i	0.547251	−	0.351697i	−0.237618	−	0.971359i	$-0.576367\pi$
$367$	10.4838	−	6.73754i	0.547251	−	0.351697i	0.784869	+	0.619662i	$0.212730\pi$
$368$	1.75234	−	3.83710i	0.0913472	−	0.200022i
$369$	12.5583	−	27.4988i	0.653759	−	1.43153i
$370$	−2.44753	+	1.57293i	−0.127241	+	0.0817727i
$371$	−18.6527	−	5.47692i	−0.968399	−	0.284348i
$372$	0.426877			0.0221325
$373$	−8.94529			−0.463170			−0.231585	−	0.972815i	$-0.574391\pi$
$373$	−8.94529			−0.463170			−0.231585	+	0.972815i	$0.574391\pi$
$374$	9.14530	+	2.68530i	0.472892	+	0.138854i
$375$	−0.0552524	+	0.384289i	−0.00285322	+	0.0198446i
$376$	5.64437	+	6.51395i	0.291086	+	0.335931i
$377$	−6.28005	+	1.84399i	−0.323439	+	0.0949703i
$378$	−6.50410	−	7.50613i	−0.334535	−	0.386073i
$379$	3.31632	+	2.13127i	0.170348	+	0.109476i	0.623037	−	0.782193i	$-0.285899\pi$
$379$	3.31632	+	2.13127i	0.170348	+	0.109476i	−0.452689	+	0.891669i	$0.649535\pi$
$380$	4.27485	−	2.74728i	0.219295	−	0.140932i
$381$	−0.678126	+	4.71647i	−0.0347415	+	0.241632i
$382$	−2.33623	−	1.50140i	−0.119532	−	0.0768185i
$383$	−4.72404	+	10.3442i	−0.241387	+	0.528564i	−0.991087	−	0.133214i	$-0.957470\pi$
$383$	−4.72404	+	10.3442i	−0.241387	+	0.528564i	0.749700	+	0.661777i	$0.230198\pi$
$384$	0.254244	−	0.293413i	0.0129743	−	0.0149732i
$385$	−8.16601	−	9.42408i	−0.416178	−	0.480295i
$386$	−2.59101	−	18.0209i	−0.131879	−	0.917238i
$387$	0.484169	−	1.06018i	0.0246117	−	0.0538921i
$388$	−7.16721	+	8.27140i	−0.363860	+	0.419917i
$389$	−25.9667	+	7.62451i	−1.31656	+	0.386578i	−0.863252	−	0.504774i	$-0.831576\pi$
$389$	−25.9667	+	7.62451i	−1.31656	+	0.386578i	−0.453312	+	0.891352i	$0.649758\pi$
$390$	0.268456	−	0.0788259i	0.0135938	−	0.00399150i
$391$	−2.00686	−	13.9580i	−0.101491	−	0.705888i
$392$	10.2027	−	6.55691i	0.515316	−	0.331174i
$393$	−1.58001	−	3.45973i	−0.0797007	−	0.174520i
$394$	7.63409	+	2.24157i	0.384600	+	0.112929i
$395$	3.55588	+	7.78629i	0.178916	+	0.391771i
$396$	−1.15614	+	8.04111i	−0.0580981	+	0.404081i
$397$	−1.12007	−	7.79025i	−0.0562147	−	0.390982i	−0.998432	−	0.0559792i	$-0.982172\pi$
$397$	−1.12007	−	7.79025i	−0.0562147	−	0.390982i	0.942217	−	0.335002i	$-0.108737\pi$
$398$	−15.4073	+	17.7809i	−0.772297	+	0.891278i
$399$	7.25867	+	4.66486i	0.363388	+	0.233535i
$400$	0.415415	+	0.909632i	0.0207708	+	0.0454816i
$401$	−32.4304			−1.61950			−0.809749	−	0.586777i	$-0.800397\pi$
$401$	−32.4304			−1.61950			−0.809749	+	0.586777i	$0.800397\pi$
$402$	0.174432	−	3.17310i	0.00869986	−	0.158260i
$403$	0.792378			0.0394711
$404$	3.61913	+	7.92479i	0.180059	+	0.394273i
$405$	−6.44917	−	4.14463i	−0.320462	−	0.205948i
$406$	26.0121	−	30.0195i	1.29096	−	1.48984i
$407$	1.18053	+	8.21076i	0.0585166	+	0.406992i
$408$	0.184706	−	1.28466i	0.00914432	−	0.0636002i
$409$	−9.93026	−	21.7442i	−0.491020	−	1.07518i	−0.979285	−	0.202488i	$-0.935097\pi$
$409$	−9.93026	−	21.7442i	−0.491020	−	1.07518i	0.488265	−	0.872695i	$-0.337630\pi$
$410$	−10.1802	−	2.98918i	−0.502765	−	0.147625i
$411$	−3.31335	−	7.25523i	−0.163436	−	0.357874i
$412$	3.07708	−	1.97752i	0.151597	−	0.0974255i
$413$	2.33424	+	16.2350i	0.114860	+	0.798872i
$414$	11.5322	−	3.38616i	0.566777	−	0.166421i
$415$	7.97327	−	2.34116i	0.391392	−	0.114923i
$416$	0.471932	−	0.544639i	0.0231384	−	0.0267031i
$417$	1.54406	−	3.38102i	0.0756129	−	0.165569i
$418$	−2.06191	−	14.3409i	−0.100851	−	0.701436i
$419$	23.5270	+	27.1516i	1.14937	+	1.32644i	0.937031	+	0.349245i	$0.113562\pi$
$419$	23.5270	+	27.1516i	1.14937	+	1.32644i	0.212337	+	0.977197i	$0.431893\pi$
$420$	−1.11195	+	1.28326i	−0.0542576	+	0.0626166i
$421$	−13.4797	+	29.5164i	−0.656959	+	1.43854i	0.228370	+	0.973574i	$0.426660\pi$
$421$	−13.4797	+	29.5164i	−0.656959	+	1.43854i	−0.885329	+	0.464965i	$0.846067\pi$
$422$	−20.9295	−	13.4506i	−1.01883	−	0.654764i
$423$	−3.49502	+	24.3084i	−0.169934	+	1.18192i
$424$	3.73931	−	2.40311i	0.181597	−	0.116705i
$425$	2.81227	+	1.80734i	0.136415	+	0.0876687i
$426$	−1.06910	−	1.23380i	−0.0517979	−	0.0597780i
$427$	−15.8050	+	4.64076i	−0.764857	+	0.224582i
$428$	4.98239	+	5.74999i	0.240833	+	0.277936i
$429$	0.113529	−	0.789614i	0.00548125	−	0.0381229i
$430$	−0.392485	−	0.115244i	−0.0189273	−	0.00555756i
$431$	26.2272			1.26332			0.631660	−	0.775245i	$-0.282374\pi$
$431$	26.2272			1.26332			0.631660	+	0.775245i	$0.282374\pi$
$432$	2.27093			0.109260
$433$	19.7183	+	5.78981i	0.947601	+	0.278241i	0.718788	−	0.695230i	$-0.244697\pi$
$433$	19.7183	+	5.78981i	0.947601	+	0.278241i	0.228813	+	0.973470i	$0.426516\pi$
$434$	−4.04542	+	2.59983i	−0.194186	+	0.124796i
$435$	−1.46479	+	3.20743i	−0.0702311	+	0.153785i
$436$	−1.83024	+	4.00766i	−0.0876526	+	0.191932i
$437$	−18.0326	+	11.5888i	−0.862615	+	0.554369i
$438$	0.237921	+	0.0698599i	0.0113683	+	0.00333803i
$439$	4.00857			0.191318			0.0956592	−	0.995414i	$-0.469504\pi$
$439$	4.00857			0.191318			0.0956592	+	0.995414i	$0.469504\pi$
$440$	2.85119			0.135925
$441$	33.1562	+	9.73555i	1.57887	+	0.463598i
$442$	0.342855	−	2.38461i	0.0163080	−	0.113424i
$443$	−1.48305	−	1.71153i	−0.0704620	−	0.0813175i	0.719424	−	0.694571i	$-0.244406\pi$
$443$	−1.48305	−	1.71153i	−0.0704620	−	0.0813175i	−0.789886	+	0.613254i	$0.789860\pi$
$444$	1.08379	−	0.318228i	0.0514342	−	0.0151024i
$445$	8.99755	+	10.3837i	0.426525	+	0.492236i
$446$	−12.1375	−	7.80028i	−0.574726	−	0.369354i
$447$	1.71285	−	1.10078i	0.0810150	−	0.0520651i
$448$	−0.622422	+	4.32904i	−0.0294067	+	0.204528i
$449$	4.54258	+	2.91934i	0.214378	+	0.137772i	0.643423	−	0.765511i	$-0.277514\pi$
$449$	4.54258	+	2.91934i	0.214378	+	0.137772i	−0.429045	+	0.903283i	$0.641150\pi$
$450$	−1.18363	+	2.59179i	−0.0557968	+	0.122178i
$451$	−19.8102	+	22.8622i	−0.932828	+	1.07654i
$452$	3.82139	+	4.41012i	0.179743	+	0.207434i
$453$	0.00565826	+	0.0393541i	0.000265848	+	0.00184902i
$454$	0.0582662	−	0.127585i	0.00273457	−	0.00598787i
$455$	−2.06402	+	2.38201i	−0.0967629	+	0.111670i
$456$	−1.89294	+	0.555817i	−0.0886450	+	0.0260285i
$457$	0.943049	−	0.276904i	0.0441140	−	0.0129530i	−0.259601	−	0.965716i	$-0.583591\pi$
$457$	0.943049	−	0.276904i	0.0441140	−	0.0129530i	0.303715	+	0.952763i	$0.401773\pi$
$458$	0.768224	+	5.34312i	0.0358968	+	0.249668i
$459$	6.38646	−	4.10433i	0.298094	−	0.191574i
$460$	−1.75234	−	3.83710i	−0.0817034	−	0.178906i
$461$	−24.5508	−	7.20877i	−1.14345	−	0.335746i	−0.345467	−	0.938431i	$-0.612279\pi$
$461$	−24.5508	−	7.20877i	−1.14345	−	0.335746i	−0.797979	+	0.602685i	$0.794098\pi$
$462$	2.01115	+	4.40380i	0.0935671	+	0.204883i
$463$	−3.66483	+	25.4895i	−0.170319	+	1.18460i	0.707891	+	0.706322i	$0.249647\pi$
$463$	−3.66483	+	25.4895i	−0.170319	+	1.18460i	−0.878210	+	0.478275i	$0.841262\pi$
$464$	1.29253	+	8.98975i	0.0600042	+	0.417339i
$465$	0.279545	−	0.322612i	0.0129636	−	0.0149608i
$466$	16.2592	+	10.4491i	0.753192	+	0.484047i
$467$	5.90912	+	12.9392i	0.273441	+	0.598753i	0.995676	−	0.0928950i	$-0.0296121\pi$
$467$	5.90912	+	12.9392i	0.273441	+	0.598753i	−0.722234	+	0.691648i	$0.756885\pi$
$468$	2.05336			0.0949164
$469$	17.6722	+	31.1331i	0.816028	+	1.43759i
$470$	8.61919			0.397574
$471$	−1.82428	−	3.99461i	−0.0840584	−	0.184062i
$472$	−3.15491	−	2.02754i	−0.145217	−	0.0933251i
$473$	−0.763759	+	0.881425i	−0.0351177	+	0.0405280i
$474$	−0.472951	−	3.28945i	−0.0217234	−	0.151089i
$475$	0.723176	−	5.02980i	0.0331816	−	0.230783i
$476$	6.07362	+	13.2994i	0.278384	+	0.609576i
$477$	12.1518	+	3.56808i	0.556391	+	0.163371i
$478$	−2.22368	−	4.86919i	−0.101709	−	0.222712i
$479$	32.7875	−	21.0712i	1.49810	−	0.962768i	0.502956	−	0.864312i	$-0.332246\pi$
$479$	32.7875	−	21.0712i	1.49810	−	0.962768i	0.995141	−	0.0984562i	$-0.0313904\pi$
$480$	−0.0552524	−	0.384289i	−0.00252192	−	0.0175403i
$481$	2.01174	−	0.590701i	0.0917277	−	0.0269337i
$482$	4.74543	−	1.39338i	0.216148	−	0.0634669i
$483$	4.69053	−	5.41317i	0.213427	−	0.246308i
$484$	−1.19254	+	2.61131i	−0.0542065	+	0.118696i
$485$	1.55758	+	10.8332i	0.0707262	+	0.491911i
$486$	6.41049	+	7.39810i	0.290786	+	0.335584i
$487$	15.5849	−	17.9859i	0.706218	−	0.815019i	−0.283360	−	0.959014i	$-0.591449\pi$
$487$	15.5849	−	17.9859i	0.706218	−	0.815019i	0.989579	+	0.143994i	$0.0459946\pi$
$488$	1.56459	−	3.42596i	0.0708254	−	0.155086i
$489$	−6.93607	−	4.45754i	−0.313660	−	0.201577i
$490$	1.72600	−	12.0046i	0.0779726	−	0.542312i
$491$	−31.6340	+	20.3300i	−1.42762	+	0.917478i	−0.427716	+	0.903913i	$0.640682\pi$
$491$	−31.6340	+	20.3300i	−1.42762	+	0.917478i	−0.999908	+	0.0135646i	$0.995682\pi$
$492$	3.46532	+	2.22703i	0.156229	+	0.100402i
$493$	19.8824	+	22.9456i	0.895460	+	1.03342i
$494$	−3.51371	+	1.03172i	−0.158089	+	0.0464192i
$495$	5.31996	+	6.13956i	0.239114	+	0.275953i
$496$	0.156477	−	1.08832i	0.00702604	−	0.0488672i
$497$	17.6459	+	5.18130i	0.791527	+	0.232413i
$498$	−3.22623			−0.144571
$499$	4.81969			0.215759			0.107879	−	0.994164i	$-0.465594\pi$
$499$	4.81969			0.215759			0.107879	+	0.994164i	$0.465594\pi$
$500$	0.959493	+	0.281733i	0.0429098	+	0.0125995i
$501$	−3.18716	+	2.04826i	−0.142392	+	0.0915096i
$502$	−5.89833	+	12.9155i	−0.263255	+	0.576449i
$503$	−8.84055	+	19.3581i	−0.394180	+	0.863135i	0.603647	+	0.797252i	$0.293714\pi$
$503$	−8.84055	+	19.3581i	−0.394180	+	0.863135i	−0.997827	+	0.0658830i	$0.979014\pi$
$504$	−10.4832	+	6.73717i	−0.466961	+	0.300097i
$505$	8.35919	+	2.45448i	0.371979	+	0.109223i
$506$	−12.0272			−0.534672
$507$	4.84550			0.215196
$508$	11.7761	+	3.45777i	0.522479	+	0.153414i
$509$	−0.184932	+	1.28623i	−0.00819695	+	0.0570110i	−0.993509	−	0.113750i	$-0.963714\pi$
$509$	−0.184932	+	1.28623i	−0.00819695	+	0.0570110i	0.985312	+	0.170761i	$0.0546227\pi$
$510$	−0.849925	−	0.980865i	−0.0376353	−	0.0434334i
$511$	−2.68020	+	0.786976i	−0.118565	+	0.0348138i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	−9.70786	−	6.23886i	−0.428612	−	0.275452i
$514$	25.8486	−	16.6119i	1.14013	−	0.732720i
$515$	0.520550	−	3.62051i	0.0229382	−	0.159539i
$516$	0.133601	+	0.0858602i	0.00588146	+	0.00377978i
$517$	10.2088	−	22.3541i	0.448982	−	0.983134i
$518$	−8.33267	+	9.61642i	−0.366117	+	0.422521i
$519$	5.92548	+	6.83837i	0.260100	+	0.300171i
$520$	−0.102561	−	0.713325i	−0.00449758	−	0.0312814i
$521$	10.9718	−	24.0248i	0.480682	−	1.05255i	−0.501594	−	0.865103i	$-0.667253\pi$
$521$	10.9718	−	24.0248i	0.480682	−	1.05255i	0.982275	−	0.187443i	$-0.0600200\pi$
$522$	−16.9462	+	19.5570i	−0.741716	+	0.855986i
$523$	5.22747	−	1.53492i	0.228581	−	0.0671175i	−0.165436	−	0.986220i	$-0.552903\pi$
$523$	5.22747	−	1.53492i	0.228581	−	0.0671175i	0.394017	+	0.919103i	$0.371085\pi$
$524$	−9.39976	+	2.76002i	−0.410630	+	0.120572i
$525$	0.241650	+	1.68071i	0.0105465	+	0.0733523i
$526$	18.7256	−	12.0342i	0.816473	−	0.524716i
$527$	−1.52691	−	3.34347i	−0.0665133	−	0.145644i
$528$	−1.06211	−	0.311863i	−0.0462223	−	0.0135721i
$529$	−2.16264	−	4.73553i	−0.0940279	−	0.205892i
$530$	0.632579	−	4.39968i	0.0274775	−	0.191110i
$531$	−1.52070	−	10.5767i	−0.0659928	−	0.458990i
$532$	14.5538	−	16.7960i	0.630989	−	0.728200i
$533$	6.43239	+	4.13385i	0.278618	+	0.179057i
$534$	−2.21594	−	4.85224i	−0.0958933	−	0.209977i
$535$	7.60832			0.328937
$536$	−8.02588	−	1.60786i	−0.346665	−	0.0694488i
$537$	−3.27235			−0.141212
$538$	−6.21685	−	13.6130i	−0.268028	−	0.586898i
$539$	−29.0899	−	18.6950i	−1.25299	−	0.805249i
$540$	1.48714	−	1.71625i	0.0639963	−	0.0738557i
$541$	−4.82008	−	33.5244i	−0.207231	−	1.44133i	−0.782137	−	0.623106i	$-0.785870\pi$
$541$	−4.82008	−	33.5244i	−0.207231	−	1.44133i	0.574906	−	0.818219i	$-0.305039\pi$
$542$	−2.98584	+	20.7670i	−0.128253	+	0.892017i
$543$	−2.43092	−	5.32297i	−0.104321	−	0.228430i
$544$	−3.20754	−	0.941819i	−0.137522	−	0.0403801i
$545$	1.83024	+	4.00766i	0.0783988	+	0.171669i
$546$	1.02942	−	0.661570i	0.0440552	−	0.0283126i
$547$	−1.26676	−	8.81049i	−0.0541626	−	0.376709i	−0.998816	−	0.0486402i	$-0.984511\pi$
$547$	−1.26676	−	8.81049i	−0.0541626	−	0.376709i	0.944654	−	0.328069i	$-0.106398\pi$
$548$	−19.7118	+	5.78790i	−0.842046	+	0.247247i
$549$	10.2966	−	3.02334i	0.439447	−	0.129033i
$550$	1.86713	−	2.15478i	0.0796147	−	0.0918803i
$551$	19.1720	−	41.9807i	0.816753	−	1.78844i
$552$	0.233071	+	1.62105i	0.00992017	+	0.0689963i
$553$	24.5159	+	28.2929i	1.04252	+	1.20314i
$554$	4.85975	−	5.60845i	0.206471	−	0.238280i
$555$	0.469228	−	1.02747i	0.0199176	−	0.0436135i
$556$	−8.05392	−	5.17594i	−0.341562	−	0.219509i
$557$	−3.28728	+	22.8635i	−0.139287	+	0.968759i	0.793562	+	0.608490i	$0.208224\pi$
$557$	−3.28728	+	22.8635i	−0.139287	+	0.968759i	−0.932848	+	0.360269i	$0.882685\pi$
$558$	2.63549	−	1.69373i	0.111569	−	0.0717013i
$559$	0.247993	+	0.159375i	0.0104890	+	0.00674086i
$560$	2.86407	+	3.30532i	0.121029	+	0.139675i
$561$	−3.55058	+	1.04254i	−0.149906	+	0.0440162i
$562$	−13.4666	−	15.5413i	−0.568055	−	0.655571i
$563$	5.10244	−	35.4883i	0.215042	−	1.49565i	−0.540941	−	0.841061i	$-0.681932\pi$
$563$	5.10244	−	35.4883i	0.215042	−	1.49565i	0.755983	−	0.654591i	$-0.227159\pi$
$564$	−3.21077	−	0.942768i	−0.135198	−	0.0396977i
$565$	5.83542			0.245498
$566$	−29.0222			−1.21989
$567$	−32.1702	−	9.44602i	−1.35102	−	0.396696i
$568$	−3.53748	+	2.27340i	−0.148429	+	0.0953897i
$569$	16.2885	−	35.6668i	0.682849	−	1.49523i	−0.176747	−	0.984256i	$-0.556557\pi$
$569$	16.2885	−	35.6668i	0.682849	−	1.49523i	0.859596	−	0.510975i	$-0.170715\pi$
$570$	−0.819553	+	1.79457i	−0.0343273	+	0.0751663i
$571$	5.96421	−	3.83297i	0.249595	−	0.160405i	−0.409862	−	0.912148i	$-0.634423\pi$
$571$	5.96421	−	3.83297i	0.249595	−	0.160405i	0.659456	+	0.751743i	$0.270787\pi$
$572$	−1.97151	−	0.578887i	−0.0824328	−	0.0242045i
$573$	1.07818			0.0450415
$574$	−46.4034			−1.93684
$575$	−4.04743	−	1.18843i	−0.168789	−	0.0495610i
$576$	0.405493	−	2.82027i	0.0168956	−	0.117511i
$577$	4.82397	+	5.56716i	0.200824	+	0.231764i	0.847225	−	0.531235i	$-0.178272\pi$
$577$	4.82397	+	5.56716i	0.200824	+	0.231764i	−0.646400	+	0.762999i	$0.723726\pi$
$578$	5.58873	−	1.64100i	0.232460	−	0.0682565i
$579$	4.62881	+	5.34193i	0.192367	+	0.222003i
$580$	7.64043	+	4.91020i	0.317251	+	0.203885i
$581$	30.5743	−	19.6489i	1.26844	−	0.815174i
$582$	0.604717	−	4.20590i	0.0250663	−	0.174340i
$583$	−10.6615	−	6.85171i	−0.441553	−	0.283769i
$584$	0.265321	−	0.580972i	0.0109791	−	0.0240408i
$585$	1.34466	−	1.55182i	0.0555949	−	0.0641600i
$586$	7.49723	+	8.65227i	0.309708	+	0.357422i
$587$	−4.92446	−	34.2504i	−0.203254	−	1.41366i	−0.794545	−	0.607206i	$-0.792290\pi$
$587$	−4.92446	−	34.2504i	−0.203254	−	1.41366i	0.591290	−	0.806459i	$-0.298619\pi$
$588$	−1.95602	+	4.28309i	−0.0806650	+	0.176632i
$589$	−3.65885	+	4.22253i	−0.150760	+	0.173986i
$590$	−3.59834	+	1.05657i	−0.148141	+	0.0434982i
$591$	−2.96386	+	0.870269i	−0.121917	+	0.0357981i
$592$	−0.414048	−	2.87977i	−0.0170173	−	0.118358i
$593$	−15.9620	+	10.2581i	−0.655479	+	0.421251i	−0.825665	−	0.564161i	$-0.809200\pi$
$593$	−15.9620	+	10.2581i	−0.655479	+	0.421251i	0.170186	+	0.985412i	$0.445563\pi$
$594$	−2.68974	−	5.88972i	−0.110362	−	0.241658i
$595$	14.0284	+	4.11910i	0.575107	+	0.168867i
$596$	−2.17858	−	4.77042i	−0.0892380	−	0.195404i
$597$	1.29996	−	9.04139i	0.0532036	−	0.370039i
$598$	0.432631	+	3.00902i	0.0176916	+	0.123048i
$599$	−16.1720	+	18.6635i	−0.660769	+	0.762568i	−0.982903	−	0.184126i	$-0.941055\pi$
$599$	−16.1720	+	18.6635i	−0.660769	+	0.762568i	0.322133	+	0.946694i	$0.395600\pi$
$600$	−0.326609	−	0.209899i	−0.0133338	−	0.00856909i
$601$	7.22379	+	15.8179i	0.294665	+	0.645225i	0.997833	−	0.0657980i	$-0.0209593\pi$
$601$	7.22379	+	15.8179i	0.294665	+	0.645225i	−0.703168	+	0.711023i	$0.748232\pi$
$602$	−1.78903			−0.0729153
$603$	−11.5130	−	20.2825i	−0.468847	−	0.825966i
$604$	0.102407			0.00416690
$605$	1.19254	+	2.61131i	0.0484838	+	0.106165i
$606$	−2.84545	−	1.82866i	−0.115588	−	0.0742841i
$607$	31.9264	−	36.8451i	1.29585	−	1.49549i	0.538240	−	0.842791i	$-0.319089\pi$
$607$	31.9264	−	36.8451i	1.29585	−	1.49549i	0.757613	−	0.652704i	$-0.226365\pi$
$608$	0.723176	+	5.02980i	0.0293286	+	0.203985i
$609$	−2.19471	+	15.2645i	−0.0889341	+	0.618551i
$610$	−1.56459	−	3.42596i	−0.0633482	−	0.138713i
$611$	−5.95990	−	1.74998i	−0.241112	−	0.0707968i
$612$	−3.95682	−	8.66422i	−0.159945	−	0.350230i
$613$	36.4555	−	23.4286i	1.47243	−	0.946270i	0.474611	−	0.880196i	$-0.342589\pi$
$613$	36.4555	−	23.4286i	1.47243	−	0.946270i	0.997815	−	0.0660744i	$-0.0210475\pi$
$614$	0.440248	+	3.06199i	0.0177670	+	0.123572i
$615$	3.95237	−	1.16052i	0.159375	−	0.0467968i
$616$	11.9647	−	3.51316i	0.482072	−	0.141549i
$617$	−8.54520	+	9.86169i	−0.344017	+	0.397017i	−0.901222	−	0.433359i	$-0.857328\pi$
$617$	−8.54520	+	9.86169i	−0.344017	+	0.397017i	0.557205	+	0.830375i	$0.311874\pi$
$618$	−0.589924	+	1.29175i	−0.0237302	+	0.0519619i
$619$	3.74275	+	26.0314i	0.150434	+	1.04629i	0.915494	+	0.402331i	$0.131800\pi$
$619$	3.74275	+	26.0314i	0.150434	+	1.04629i	−0.765061	+	0.643958i	$0.777291\pi$
$620$	−0.720030	−	0.830959i	−0.0289171	−	0.0333721i
$621$	−6.27320	+	7.23965i	−0.251735	+	0.290517i
$622$	13.1380	−	28.7682i	0.526786	−	1.15350i
$623$	50.5519	+	32.4877i	2.02532	+	1.30159i
$624$	−0.0398182	+	0.276942i	−0.00159401	+	0.0110866i
$625$	0.841254	−	0.540641i	0.0336501	−	0.0216256i
$626$	18.3062	+	11.7647i	0.731661	+	0.470210i
$627$	3.68358	+	4.25107i	0.147108	+	0.169772i
$628$	−10.8530	+	3.18673i	−0.433082	+	0.127164i
$629$	−6.36912	−	7.35036i	−0.253954	−	0.293078i
$630$	−1.77345	+	12.3346i	−0.0706559	+	0.491423i
$631$	5.53061	+	1.62393i	0.220170	+	0.0646477i	0.389957	−	0.920833i	$-0.372490\pi$
$631$	5.53061	+	1.62393i	0.220170	+	0.0646477i	−0.169787	+	0.985481i	$0.554308\pi$
$632$	−8.55982			−0.340491
$633$	9.65903			0.383912
$634$	−6.19196	−	1.81812i	−0.245914	−	0.0722069i
$635$	10.3249	−	6.63541i	0.409731	−	0.263318i
$636$	−0.716882	+	1.56975i	−0.0284262	+	0.0622448i
$637$	−3.63080	+	7.95035i	−0.143858	+	0.315004i
$638$	21.7843	−	13.9999i	0.862448	−	0.554262i
$639$	−11.4959	−	3.37550i	−0.454770	−	0.133533i
$640$	−1.00000			−0.0395285
$641$	−16.7802			−0.662777			−0.331388	−	0.943494i	$-0.607517\pi$
$641$	−16.7802			−0.662777			−0.331388	+	0.943494i	$0.607517\pi$
$642$	−2.83421	−	0.832199i	−0.111857	−	0.0328443i
$643$	5.17721	−	36.0083i	0.204169	−	1.42003i	−0.587572	−	0.809172i	$-0.699916\pi$
$643$	5.17721	−	36.0083i	0.204169	−	1.42003i	0.791742	−	0.610856i	$-0.209175\pi$
$644$	−12.0815	−	13.9428i	−0.476078	−	0.549423i
$645$	0.152379	−	0.0447425i	0.00599991	−	0.00176173i
$646$	11.1243	+	12.8381i	0.437680	+	0.505109i
$647$	35.1571	+	22.5941i	1.38217	+	0.888266i	0.999367	−	0.0355647i	$-0.0113230\pi$
$647$	35.1571	+	22.5941i	1.38217	+	0.888266i	0.382801	+	0.923831i	$0.374959\pi$
$648$	6.44917	−	4.14463i	0.253347	−	0.162816i
$649$	−1.52173	+	10.5838i	−0.0597330	+	0.415452i
$650$	−0.606258	−	0.389618i	−0.0237794	−	0.0152821i
$651$	0.775568	−	1.69826i	0.0303969	−	0.0665600i
$652$	−13.9070	+	16.0496i	−0.544641	+	0.628549i
$653$	23.9767	+	27.6706i	0.938281	+	1.08283i	0.996421	+	0.0845256i	$0.0269375\pi$
$653$	23.9767	+	27.6706i	0.938281	+	1.08283i	−0.0581403	+	0.998308i	$0.518517\pi$
$654$	−0.243432	−	1.69310i	−0.00951893	−	0.0662056i
$655$	−4.06965	+	8.91129i	−0.159014	+	0.348193i
$656$	6.94807	−	8.01850i	0.271276	−	0.313070i
$657$	1.74608	−	0.512696i	0.0681212	−	0.0200022i
$658$	36.1696	−	10.6203i	1.41004	−	0.414024i
$659$	−6.44550	−	44.8294i	−0.251081	−	1.74631i	−0.591749	−	0.806122i	$-0.701562\pi$
$659$	−6.44550	−	44.8294i	−0.251081	−	1.74631i	0.340668	−	0.940184i	$-0.389347\pi$
$660$	−0.931224	+	0.598461i	−0.0362478	+	0.0232951i
$661$	17.9761	+	39.3622i	0.699190	+	1.53101i	0.840950	+	0.541112i	$0.181997\pi$
$661$	17.9761	+	39.3622i	0.699190	+	1.53101i	−0.141760	+	0.989901i	$0.545276\pi$
$662$	−5.32140	−	1.56250i	−0.206822	−	0.0607285i
$663$	0.388548	+	0.850801i	0.0150899	+	0.0330424i
$664$	−1.18262	+	8.22529i	−0.0458945	+	0.319203i
$665$	−3.16285	−	21.9981i	−0.122650	−	0.853050i
$666$	5.42854	−	6.26487i	0.210352	−	0.242759i
$667$	−32.2296	−	20.7127i	−1.24793	−	0.801999i
$668$	4.05376	+	8.87649i	0.156845	+	0.343442i
$669$	5.60148			0.216566
$670$	−6.47097	+	5.01264i	−0.249995	+	0.193655i
$671$	−10.7385			−0.414554
$672$	−0.705372	−	1.54455i	−0.0272103	−	0.0595823i
$673$	−3.88490	−	2.49667i	−0.149752	−	0.0962397i	0.463619	−	0.886035i	$-0.346551\pi$
$673$	−3.88490	−	2.49667i	−0.149752	−	0.0962397i	−0.613371	+	0.789795i	$0.710187\pi$
$674$	7.11554	−	8.21177i	0.274080	−	0.316306i
$675$	−0.323186	−	2.24781i	−0.0124394	−	0.0865183i
$676$	1.77618	−	12.3536i	0.0683147	−	0.475139i
$677$	0.688106	+	1.50674i	0.0264461	+	0.0579088i	0.922394	−	0.386250i	$-0.126230\pi$
$677$	0.688106	+	1.50674i	0.0264461	+	0.0579088i	−0.895948	+	0.444159i	$0.853503\pi$
$678$	−2.17378	−	0.638279i	−0.0834834	−	0.0245129i
$679$	19.8847	+	43.5413i	0.763103	+	1.67096i
$680$	−2.81227	+	1.80734i	−0.107846	+	0.0693082i
$681$	0.00774972	+	0.0539005i	0.000296970	+	0.00206547i
$682$	−3.00794	+	0.883211i	−0.115180	+	0.0338199i
$683$	21.7991	−	6.40078i	0.834118	−	0.244919i	0.163333	−	0.986571i	$-0.447776\pi$
$683$	21.7991	−	6.40078i	0.834118	−	0.244919i	0.670785	+	0.741652i	$0.265957\pi$
$684$	−9.48148	+	10.9422i	−0.362533	+	0.418386i
$685$	−8.53427	+	18.6874i	−0.326078	+	0.714010i
$686$	−3.19180	−	22.1994i	−0.121863	−	0.847579i
$687$	−1.37242	−	1.58386i	−0.0523612	−	0.0604281i
$688$	0.267874	−	0.309143i	0.0102126	−	0.0117860i
$689$	−1.33069	+	2.91381i	−0.0506953	+	0.111007i
$690$	1.37773	+	0.885416i	0.0524494	+	0.0337072i
$691$	−1.16727	+	8.11852i	−0.0444049	+	0.308843i	0.955499	+	0.294994i	$0.0953176\pi$
$691$	−1.16727	+	8.11852i	−0.0444049	+	0.308843i	−0.999904	+	0.0138493i	$0.995591\pi$
$692$	19.6065	−	12.6003i	0.745328	−	0.478993i
$693$	29.8897	+	19.2089i	1.13542	+	0.729687i
$694$	−1.71635	−	1.98077i	−0.0651516	−	0.0751890i
$695$	−9.18591	+	2.69723i	−0.348442	+	0.102312i
$696$	−2.30909	−	2.66483i	−0.0875258	−	0.101010i
$697$	5.04772	−	35.1077i	0.191196	−	1.32980i
$698$	3.94125	+	1.15726i	0.149179	+	0.0438028i
$699$	−7.50366			−0.283814
$700$	4.37356			0.165305
$701$	−17.8373	−	5.23750i	−0.673704	−	0.197817i	−0.0730525	−	0.997328i	$-0.523274\pi$
$701$	−17.8373	−	5.23750i	−0.673704	−	0.197817i	−0.600652	+	0.799511i	$0.705092\pi$
$702$	−1.37677	+	0.884794i	−0.0519627	+	0.0333944i
$703$	−6.14152	+	13.4481i	−0.231632	+	0.507203i
$704$	−1.18443	+	2.59353i	−0.0446397	+	0.0977474i
$705$	−2.81510	+	1.80916i	−0.106023	+	0.0681368i
$706$	−33.8020	−	9.92516i	−1.27215	−	0.373538i
$707$	38.1028			1.43300
$708$	1.45600			0.0547199
$709$	−40.4879	−	11.8883i	−1.52056	−	0.446475i	−0.588411	−	0.808562i	$-0.700246\pi$
$709$	−40.4879	−	11.8883i	−1.52056	−	0.446475i	−0.932144	+	0.362087i	$0.882064\pi$
$710$	−0.598435	+	4.16221i	−0.0224589	+	0.156205i
$711$	−15.9715	−	18.4321i	−0.598980	−	0.691260i
$712$	−13.1831	+	3.87090i	−0.494057	+	0.145068i
$713$	3.03730	+	3.50523i	0.113748	+	0.131272i
$714$	−4.77522	−	3.06885i	−0.178708	−	0.114849i
$715$	−1.72856	+	1.11088i	−0.0646443	+	0.0415444i
$716$	−1.19952	+	8.34287i	−0.0448283	+	0.311788i
$717$	1.74831	+	1.12357i	0.0652919	+	0.0419606i
$718$	5.86632	−	12.8454i	0.218929	−	0.479388i
$719$	−3.89286	+	4.49260i	−0.145179	+	0.167546i	−0.823682	−	0.567052i	$-0.808084\pi$
$719$	−3.89286	+	4.49260i	−0.145179	+	0.167546i	0.678503	+	0.734598i	$0.262629\pi$
$720$	−1.86587	−	2.15333i	−0.0695370	−	0.0802500i
$721$	−2.27666	−	15.8345i	−0.0847871	−	0.589707i
$722$	2.83390	−	6.20537i	0.105467	−	0.230940i
$723$	−1.25743	+	1.45115i	−0.0467643	+	0.0539689i
$724$	−14.4620	+	4.24643i	−0.537476	+	0.157817i
$725$	8.71430	−	2.55875i	0.323641	−	0.0950295i
$726$	−0.158615	−	1.10319i	−0.00588674	−	0.0409432i
$727$	−28.5879	+	18.3724i	−1.06027	+	0.681393i	−0.949918	−	0.312500i	$-0.898834\pi$
$727$	−28.5879	+	18.3724i	−1.06027	+	0.681393i	−0.110350	+	0.993893i	$0.535197\pi$
$728$	−1.30933	−	2.86702i	−0.0485269	−	0.106259i
$729$	18.4203	+	5.40867i	0.682231	+	0.200321i
$730$	−0.265321	−	0.580972i	−0.00981997	−	0.0215027i
$731$	0.194609	−	1.35353i	0.00719786	−	0.0500622i
$732$	0.208098	+	1.44736i	0.00769153	+	0.0534958i
$733$	4.01386	−	4.63224i	0.148255	−	0.171096i	−0.676764	−	0.736200i	$-0.736618\pi$
$733$	4.01386	−	4.63224i	0.148255	−	0.171096i	0.825020	+	0.565104i	$0.191164\pi$
$734$	10.4838	+	6.73754i	0.386965	+	0.248687i
$735$	1.95602	+	4.28309i	0.0721489	+	0.157984i
$736$	4.21830			0.155488
$737$	5.33604	+	22.7198i	0.196556	+	0.836893i
$738$	30.2307			1.11281
$739$	4.96822	+	10.8789i	0.182759	+	0.400186i	0.978731	−	0.205147i	$-0.0657672\pi$
$739$	4.96822	+	10.8789i	0.182759	+	0.400186i	−0.795972	+	0.605333i	$0.793040\pi$
$740$	−2.44753	−	1.57293i	−0.0899728	−	0.0578220i
$741$	0.931053	−	1.07449i	0.0342031	−	0.0394725i
$742$	−2.76662	−	19.2423i	−0.101566	−	0.706406i
$743$	6.64417	−	46.2112i	0.243751	−	1.69533i	−0.389216	−	0.921147i	$-0.627254\pi$
$743$	6.64417	−	46.2112i	0.243751	−	1.69533i	0.632967	−	0.774179i	$-0.281837\pi$
$744$	0.177331	+	0.388301i	0.00650128	+	0.0142358i
$745$	−5.03191	−	1.47750i	−0.184355	−	0.0541315i
$746$	−3.71601	−	8.13693i	−0.136053	−	0.297914i
$747$	−19.9184	+	12.8008i	−0.728777	+	0.468356i
$748$	1.35646	+	9.43437i	0.0495970	+	0.344955i
$749$	31.9276	−	9.37478i	1.16661	−	0.342547i
$750$	−0.372514	+	0.109380i	−0.0136023	+	0.00399400i
$751$	27.0967	−	31.2713i	0.988773	−	1.14110i	−0.00122187	−	0.999999i	$-0.500389\pi$
$751$	27.0967	−	31.2713i	0.988773	−	1.14110i	0.989995	−	0.141105i	$-0.0450656\pi$
$752$	−3.58054	+	7.84029i	−0.130569	+	0.285906i
$753$	−0.784510	−	5.45638i	−0.0285891	−	0.198842i
$754$	−4.28618	−	4.94651i	−0.156093	−	0.180141i
$755$	0.0670626	−	0.0773944i	0.00244066	−	0.00281667i
$756$	4.12591	−	9.03449i	0.150058	−	0.328581i
$757$	−38.0156	−	24.4311i	−1.38170	−	0.887964i	−0.382349	−	0.924018i	$-0.624885\pi$
$757$	−38.0156	−	24.4311i	−1.38170	−	0.887964i	−0.999350	+	0.0360542i	$0.988521\pi$
$758$	−0.561022	+	3.90200i	−0.0203772	+	0.141727i
$759$	3.92818	−	2.52449i	0.142584	−	0.0916330i
$760$	4.27485	+	2.74728i	0.155065	+	0.0996542i
$761$	−17.0146	−	19.6359i	−0.616779	−	0.711801i	0.358313	−	0.933602i	$-0.383352\pi$
$761$	−17.0146	−	19.6359i	−0.616779	−	0.711801i	−0.975092	+	0.221801i	$0.928807\pi$
$762$	−4.57196	+	1.34245i	−0.165625	+	0.0486318i
$763$	12.6186	+	14.5626i	0.456822	+	0.527201i
$764$	0.395220	−	2.74881i	0.0142986	−	0.0994486i
$765$	−9.13914	−	2.68349i	−0.330426	−	0.0970219i
$766$	−11.3718			−0.410882
$767$	2.70266			0.0975873
$768$	0.372514	+	0.109380i	0.0134420	+	0.00394691i
$769$	−27.6290	+	17.7561i	−0.996329	+	0.640302i	−0.933820	−	0.357743i	$-0.883546\pi$
$769$	−27.6290	+	17.7561i	−0.996329	+	0.640302i	−0.0625085	+	0.998044i	$0.519910\pi$
$770$	5.18016	−	11.3430i	0.186680	−	0.408772i
$771$	−4.95558	+	10.8512i	−0.178471	+	0.390796i
$772$	15.3160	−	9.84300i	0.551235	−	0.354257i
$773$	48.7330	+	14.3093i	1.75280	+	0.514670i	0.991084	−	0.133237i	$-0.0425370\pi$
$773$	48.7330	+	14.3093i	1.75280	+	0.514670i	0.761720	+	0.647906i	$0.224355\pi$
$774$	1.16551			0.0418933
$775$	−1.09952			−0.0394958
$776$	−10.5013	−	3.08346i	−0.376974	−	0.110690i
$777$	0.703051	−	4.88983i	0.0252218	−	0.175422i
$778$	−17.7225	−	20.4528i	−0.635381	−	0.733269i
$779$	−51.7310	+	15.1896i	−1.85345	+	0.544223i
$780$	0.183223	+	0.211451i	0.00656045	+	0.00757116i
$781$	10.0860	+	6.48189i	0.360906	+	0.231940i
$782$	11.8630	−	7.62388i	0.424220	−	0.272629i
$783$	2.93524	−	20.4150i	0.104897	−	0.729574i
$784$	10.2027	+	6.55691i	0.364384	+	0.234175i
$785$	−4.69883	+	10.2890i	−0.167709	+	0.367231i
$786$	2.49072	−	2.87445i	0.0888411	−	0.102528i
$787$	−12.8220	−	14.7974i	−0.457055	−	0.527469i	0.479711	−	0.877427i	$-0.340741\pi$
$787$	−12.8220	−	14.7974i	−0.457055	−	0.527469i	−0.936766	+	0.349957i	$0.886196\pi$
$788$	1.13231	+	7.87539i	0.0403369	+	0.280549i
$789$	−3.58997	+	7.86095i	−0.127806	+	0.279857i
$790$	−5.60549	+	6.46908i	−0.199434	+	0.230160i
$791$	24.4878	−	7.19025i	0.870684	−	0.255656i
$792$	−7.79473	+	2.28874i	−0.276974	+	0.0813268i
$793$	0.386276	+	2.68661i	0.0137171	+	0.0954043i
$794$	6.62097	−	4.25504i	0.234969	−	0.151006i
$795$	0.716882	+	1.56975i	0.0254252	+	0.0556734i
$796$	−22.5745	−	6.62848i	−0.800133	−	0.234940i
$797$	8.97344	+	19.6491i	0.317856	+	0.696007i	0.999359	−	0.0358087i	$-0.0114007\pi$
$797$	8.97344	+	19.6491i	0.317856	+	0.696007i	−0.681503	+	0.731815i	$0.738673\pi$
$798$	−1.22795	+	8.54057i	−0.0434689	+	0.302333i
$799$	4.10059	+	28.5203i	0.145069	+	1.00897i
$800$	−0.654861	+	0.755750i	−0.0231528	+	0.0267198i
$801$	−32.9333	−	21.1650i	−1.16364	−	0.747827i
$802$	−13.4721	−	29.4997i	−0.475716	−	1.04167i
$803$	−1.82102			−0.0642625
$804$	2.95881	−	1.15948i	0.104349	−	0.0408918i
$805$	−18.4490			−0.650241
$806$	0.329166	+	0.720772i	0.0115944	+	0.0253881i
$807$	4.88783	+	3.14122i	0.172060	+	0.110576i
$808$	−5.70520	+	6.58416i	−0.200708	+	0.231630i
$809$	−6.44982	−	44.8595i	−0.226764	−	1.57718i	−0.711609	−	0.702575i	$-0.752033\pi$
$809$	−6.44982	−	44.8595i	−0.226764	−	1.57718i	0.484846	−	0.874600i	$-0.338876\pi$
$810$	1.09101	−	7.58811i	0.0383340	−	0.266619i
$811$	8.59761	+	18.8261i	0.301903	+	0.661075i	0.998404	−	0.0564807i	$-0.0179879\pi$
$811$	8.59761	+	18.8261i	0.301903	+	0.661075i	−0.696501	+	0.717556i	$0.745261\pi$
$812$	38.1125	+	11.1908i	1.33749	+	0.392722i
$813$	−3.38376	−	7.40940i	−0.118674	−	0.259859i
$814$	−6.97836	+	4.48472i	−0.244591	+	0.157189i
$815$	3.02228	+	21.0204i	0.105866	+	0.736314i
$816$	1.24530	−	0.365652i	0.0435941	−	0.0128004i
$817$	−1.99442	+	0.585615i	−0.0697760	+	0.0204881i
$818$	15.6541	−	18.0658i	0.547332	−	0.631654i
$819$	3.73062	−	8.16892i	0.130359	−	0.285445i
$820$	−1.50996	−	10.5020i	−0.0527301	−	0.366746i
$821$	−10.0670	−	11.6179i	−0.351341	−	0.405469i	0.552379	−	0.833593i	$-0.313720\pi$
$821$	−10.0670	−	11.6179i	−0.351341	−	0.405469i	−0.903720	+	0.428124i	$0.859175\pi$
$822$	5.22317	−	6.02786i	0.182179	−	0.210246i
$823$	−3.70342	+	8.10936i	−0.129093	+	0.282675i	−0.963131	−	0.269033i	$-0.913296\pi$
$823$	−3.70342	+	8.10936i	−0.129093	+	0.282675i	0.834038	+	0.551707i	$0.186023\pi$
$824$	3.07708	+	1.97752i	0.107195	+	0.0688902i
$825$	−0.157535	+	1.09568i	−0.00548467	+	0.0381467i
$826$	−13.7982	+	8.86756i	−0.480101	+	0.308542i
$827$	−1.91985	−	1.23381i	−0.0667597	−	0.0429039i	0.506835	−	0.862043i	$-0.330815\pi$
$827$	−1.91985	−	1.23381i	−0.0667597	−	0.0429039i	−0.573595	+	0.819139i	$0.694452\pi$
$828$	7.87081	+	9.08340i	0.273530	+	0.315670i
$829$	−23.8019	+	6.98886i	−0.826673	+	0.242733i	−0.667587	−	0.744532i	$-0.732673\pi$
$829$	−23.8019	+	6.98886i	−0.826673	+	0.242733i	−0.159086	+	0.987265i	$0.550855\pi$
$830$	5.44181	+	6.28019i	0.188888	+	0.217988i
$831$	−0.410031	+	2.85183i	−0.0142238	+	0.0989288i
$832$	0.691469	+	0.203033i	0.0239724	+	0.00703892i
$833$	40.5434			1.40475
$834$	3.71691			0.128706
$835$	9.36305	+	2.74924i	0.324022	+	0.0951414i
$836$	12.1884	−	7.83300i	0.421544	−	0.270910i
$837$	−1.03726	+	2.27128i	−0.0358529	+	0.0785068i
$838$	−14.9245	+	32.6801i	−0.515558	+	1.12891i
$839$	−14.2764	+	9.17488i	−0.492876	+	0.316752i	−0.763361	−	0.645972i	$-0.776452\pi$
$839$	−14.2764	+	9.17488i	−0.492876	+	0.316752i	0.270485	+	0.962724i	$0.412816\pi$
$840$	−1.62921	−	0.478380i	−0.0562132	−	0.0165057i
$841$	53.4862			1.84435
$842$	−32.4487			−1.11826
$843$	7.66042	+	2.24930i	0.263839	+	0.0774701i
$844$	3.54064	−	24.6257i	0.121874	−	0.847652i
$845$	−8.17309	−	9.43224i	−0.281163	−	0.324479i
$846$	−23.5636	+	6.91890i	−0.810133	+	0.237877i
$847$	8.22197	+	9.48866i	0.282510	+	0.326034i
$848$	3.73931	+	2.40311i	0.128408	+	0.0825230i
$849$	9.47891	−	6.09172i	0.325315	−	0.209067i
$850$	−0.475752	+	3.30893i	−0.0163182	+	0.113495i
$851$	10.3244	+	6.63508i	0.353915	+	0.227448i
$852$	0.678189	−	1.48503i	0.0232344	−	0.0508761i
$853$	−23.0275	+	26.5752i	−0.788447	+	0.909917i	−0.997689	−	0.0679473i	$-0.978355\pi$
$853$	−23.0275	+	26.5752i	−0.788447	+	0.909917i	0.209242	+	0.977864i	$0.432900\pi$
$854$	−10.7870	−	12.4489i	−0.369124	−	0.425992i
$855$	2.06052	+	14.3312i	0.0704684	+	0.490118i
$856$	−3.16061	+	6.92078i	−0.108028	+	0.236547i
$857$	−12.6242	+	14.5691i	−0.431235	+	0.497671i	−0.929227	−	0.369510i	$-0.879525\pi$
$857$	−12.6242	+	14.5691i	−0.431235	+	0.497671i	0.497992	+	0.867182i	$0.334071\pi$
$858$	0.765419	−	0.224747i	0.0261310	−	0.00767275i
$859$	−23.9317	+	7.02698i	−0.816538	+	0.239757i	−0.663225	−	0.748420i	$-0.730813\pi$
$859$	−23.9317	+	7.02698i	−0.816538	+	0.239757i	−0.153314	+	0.988178i	$0.548994\pi$
$860$	−0.0582146	−	0.404891i	−0.00198510	−	0.0138067i
$861$	15.1558	−	9.74003i	0.516508	−	0.331939i
$862$	10.8952	+	23.8571i	0.371091	+	0.812577i
$863$	−6.55494	−	1.92470i	−0.223133	−	0.0655177i	0.168255	−	0.985743i	$-0.446187\pi$
$863$	−6.55494	−	1.92470i	−0.223133	−	0.0655177i	−0.391388	+	0.920226i	$0.628005\pi$
$864$	0.943376	+	2.06571i	0.0320943	+	0.0702768i
$865$	3.31683	−	23.0691i	0.112776	−	0.784373i
$866$	2.92468	+	20.3416i	0.0993845	+	0.691234i
$867$	−1.48089	+	1.70903i	−0.0502935	+	0.0580418i
$868$	−4.04542	−	2.59983i	−0.137310	−	0.0882441i
$869$	10.1385	+	22.2002i	0.343924	+	0.753089i
$870$	−3.52608			−0.119545
$871$	5.49221	−	2.15226i	0.186096	−	0.0729264i
$872$	−4.40581			−0.149200
$873$	−12.9544	−	28.3661i	−0.438439	−	0.960048i
$874$	−18.0326	−	11.5888i	−0.609961	−	0.391998i
$875$	2.86407	−	3.30532i	0.0968233	−	0.111740i
$876$	0.0352891	+	0.245441i	0.00119231	+	0.00829269i
$877$	4.64675	−	32.3189i	0.156910	−	1.09133i	−0.747375	−	0.664402i	$-0.768686\pi$
$877$	4.64675	−	32.3189i	0.156910	−	1.09133i	0.904285	−	0.426929i	$-0.140405\pi$
$878$	1.66522	+	3.64632i	0.0561984	+	0.123057i
$879$	−4.26476	−	1.25225i	−0.143847	−	0.0422373i
$880$	1.18443	+	2.59353i	0.0399270	+	0.0874279i
$881$	11.2967	−	7.25995i	0.380596	−	0.244594i	−0.336329	−	0.941745i	$-0.609185\pi$
$881$	11.2967	−	7.25995i	0.380596	−	0.244594i	0.716925	+	0.697151i	$0.245549\pi$
$882$	4.91783	+	34.2043i	0.165592	+	1.15172i
$883$	−37.1663	+	10.9130i	−1.25074	+	0.367252i	−0.839042	−	0.544067i	$-0.816884\pi$
$883$	−37.1663	+	10.9130i	−1.25074	+	0.367252i	−0.411702	+	0.911318i	$0.635066\pi$
$884$	2.31155	−	0.678731i	0.0777457	−	0.0228282i
$885$	0.953478	−	1.10037i	0.0320508	−	0.0369886i
$886$	0.940784	−	2.06003i	0.0316063	−	0.0692081i
$887$	−3.71762	−	25.8566i	−0.124825	−	0.868179i	−0.951970	−	0.306190i	$-0.900946\pi$
$887$	−3.71762	−	25.8566i	−0.124825	−	0.868179i	0.827145	−	0.561989i	$-0.189964\pi$
$888$	0.739691	+	0.853649i	0.0248224	+	0.0286466i
$889$	35.1514	−	40.5669i	1.17894	−	1.36057i
$890$	−5.70765	+	12.4980i	−0.191321	+	0.418934i
$891$	−18.3878	−	11.8171i	−0.616014	−	0.395888i
$892$	2.05330	−	14.2810i	0.0687495	−	0.478163i
$893$	36.8457	−	23.6793i	1.23299	−	0.792398i
$894$	1.71285	+	1.10078i	0.0572862	+	0.0368156i
$895$	5.51960	+	6.36996i	0.184500	+	0.212924i
$896$	−4.19640	+	1.23217i	−0.140192	+	0.0411641i
$897$	−0.772890	−	0.891963i	−0.0258061	−	0.0297818i
$898$	−0.768469	+	5.34482i	−0.0256441	+	0.178359i
$899$	−9.58151	−	2.81339i	−0.319561	−	0.0938317i
$900$	−2.84927			−0.0949756
$901$	14.8592			0.495031
$902$	−29.0257	−	8.52271i	−0.966450	−	0.283775i
$903$	0.584312	−	0.375515i	0.0194447	−	0.0124963i
$904$	−2.42412	+	5.30808i	−0.0806251	+	0.176544i
$905$	−6.26137	+	13.7105i	−0.208135	+	0.455752i
$906$	−0.0334472	+	0.0214952i	−0.00111121	+	0.000714130i
$907$	6.33777	+	1.86094i	0.210442	+	0.0617914i	0.385255	−	0.922810i	$-0.374114\pi$
$907$	6.33777	+	1.86094i	0.210442	+	0.0617914i	−0.174812	+	0.984602i	$0.555932\pi$
$908$	0.140260			0.00465470
$909$	−24.8231			−0.823330
$910$	−3.02418	−	0.887979i	−0.100251	−	0.0294362i
$911$	−3.22730	+	22.4464i	−0.106925	+	0.743681i	0.863860	+	0.503732i	$0.168040\pi$
$911$	−3.22730	+	22.4464i	−0.106925	+	0.743681i	−0.970785	+	0.239950i	$0.922869\pi$
$912$	−1.29194	−	1.49098i	−0.0427806	−	0.0493714i
$913$	22.7333	−	6.67509i	0.752362	−	0.220913i
$914$	0.643638	+	0.742797i	0.0212896	+	0.0245696i
$915$	1.23011	+	0.790546i	0.0406663	+	0.0261346i
$916$	−4.54114	+	2.91841i	−0.150043	+	0.0964271i
$917$	−6.09762	+	42.4099i	−0.201361	+	1.40050i
$918$	6.38646	+	4.10433i	0.210784	+	0.135463i
$919$	15.8392	−	34.6830i	0.522488	−	1.14409i	−0.446002	−	0.895032i	$-0.647152\pi$
$919$	15.8392	−	34.6830i	0.522488	−	1.14409i	0.968489	−	0.249056i	$-0.0801203\pi$
$920$	2.76240	−	3.18798i	0.0910735	−	0.105104i
$921$	−0.786498	−	0.907667i	−0.0259160	−	0.0299087i
$922$	−3.64145	−	25.3268i	−0.119925	−	0.834095i
$923$	1.25887	−	2.75653i	0.0414361	−	0.0907324i
$924$	−3.17038	+	3.65881i	−0.104298	+	0.120366i
$925$	−2.79153	+	0.819667i	−0.0917849	+	0.0269505i
$926$	−24.7085	+	7.25506i	−0.811971	+	0.238416i
$927$	1.48319	+	10.3158i	0.0487143	+	0.338815i
$928$	−7.64043	+	4.91020i	−0.250809	+	0.161185i
$929$	19.0335	+	41.6776i	0.624469	+	1.36740i	0.912224	+	0.409693i	$0.134364\pi$
$929$	19.0335	+	41.6776i	0.624469	+	1.36740i	−0.287755	+	0.957704i	$0.592909\pi$
$930$	0.409586	+	0.120265i	0.0134308	+	0.00394365i
$931$	−25.6015	−	56.0595i	−0.839056	−	1.83728i
$932$	−2.75056	+	19.1306i	−0.0900977	+	0.626644i
$933$	1.74743	+	12.1536i	0.0572082	+	0.397892i
$934$	−9.31514	+	10.7502i	−0.304801	+	0.351759i
$935$	8.01831	+	5.15306i	0.262227	+	0.168523i
$936$	0.852995	+	1.86780i	0.0278810	+	0.0610509i
$937$	25.4630			0.831839			0.415920	−	0.909401i	$-0.363460\pi$
$937$	25.4630			0.831839			0.415920	+	0.909401i	$0.363460\pi$
$938$	−20.9783	+	29.0084i	−0.684967	+	0.947158i
$939$	−8.44834			−0.275701
$940$	3.58054	+	7.84029i	0.116784	+	0.255722i
$941$	32.1757	+	20.6781i	1.04890	+	0.674087i	0.947172	−	0.320726i	$-0.103927\pi$
$941$	32.1757	+	20.6781i	1.04890	+	0.674087i	0.101727	+	0.994812i	$0.467563\pi$
$942$	2.87580	−	3.31885i	0.0936985	−	0.108134i
$943$	6.36946	+	44.3005i	0.207418	+	1.44262i
$944$	0.533716	−	3.71208i	0.0173710	−	0.120818i
$945$	−4.12591	−	9.03449i	−0.134216	−	0.293892i
$946$	−1.11905	−	0.328583i	−0.0363834	−	0.0106831i
$947$	6.61660	+	14.4883i	0.215011	+	0.470807i	0.986149	−	0.165860i	$-0.0530399\pi$
$947$	6.61660	+	14.4883i	0.215011	+	0.470807i	−0.771139	+	0.636667i	$0.780313\pi$
$948$	2.79571	−	1.79670i	0.0908006	−	0.0583540i
$949$	0.0655044	+	0.455593i	0.00212636	+	0.0147892i
$950$	4.87568	−	1.43163i	0.158188	−	0.0464482i
$951$	2.40397	−	0.705870i	0.0779542	−	0.0228894i
$952$	−9.57446	+	11.0495i	−0.310310	+	0.358117i
$953$	−16.9972	+	37.2186i	−0.550592	+	1.20563i	0.405913	+	0.913912i	$0.366954\pi$
$953$	−16.9972	+	37.2186i	−0.550592	+	1.20563i	−0.956505	+	0.291717i	$0.905774\pi$
$954$	1.80239	+	12.5359i	0.0583544	+	0.405864i
$955$	−1.81860	−	2.09878i	−0.0588486	−	0.0679149i
$956$	3.50542	−	4.04547i	0.113373	−	0.130840i
$957$	−4.17638	+	9.14499i	−0.135003	+	0.295616i
$958$	32.7875	+	21.0712i	1.05931	+	0.680780i
$959$	−12.7870	+	88.9357i	−0.412914	+	2.87188i
$960$	0.326609	−	0.209899i	0.0105413	−	0.00677446i
$961$	−25.0618	−	16.1063i	−0.808446	−	0.519557i
$962$	1.37303	+	1.58456i	0.0442683	+	0.0510883i
$963$	−20.8000	+	6.10744i	−0.670272	+	0.196810i
$964$	3.23879	+	3.73776i	0.104314	+	0.120385i
$965$	2.59101	−	18.0209i	0.0834075	−	0.580112i
$966$	6.87251	+	2.01795i	0.221119	+	0.0649265i
$967$	6.57739			0.211515			0.105757	−	0.994392i	$-0.466273\pi$
$967$	6.57739			0.211515			0.105757	+	0.994392i	$0.466273\pi$
$968$	−2.87073			−0.0922687
$969$	−6.32801	−	1.85807i	−0.203285	−	0.0596898i
$970$	−9.20721	+	5.91711i	−0.295626	+	0.189987i
$971$	−11.5506	+	25.2922i	−0.370675	+	0.811665i	0.628745	+	0.777612i	$0.283569\pi$
$971$	−11.5506	+	25.2922i	−0.370675	+	0.811665i	−0.999420	+	0.0340535i	$0.989158\pi$
$972$	−4.06653	+	8.90447i	−0.130434	+	0.285611i
$973$	−35.2243	+	22.6373i	−1.12924	+	0.725718i
$974$	22.8348	+	6.70489i	0.731673	+	0.214838i
$975$	0.279790			0.00896044
$976$	3.76632			0.120557
$977$	−5.22929	−	1.53546i	−0.167300	−	0.0491237i	0.197010	−	0.980401i	$-0.436877\pi$
$977$	−5.22929	−	1.53546i	−0.167300	−	0.0491237i	−0.364310	+	0.931278i	$0.618695\pi$
$978$	1.17337	−	8.16100i	0.0375204	−	0.260960i
$979$	25.6537	+	29.6060i	0.819896	+	0.946210i
$980$	11.6368	−	3.41686i	0.371723	−	0.109148i
$981$	−8.22069	−	9.48718i	−0.262466	−	0.302902i
$982$	−31.6340	−	20.3300i	−1.00948	−	0.648755i
$983$	−39.7285	+	25.5319i	−1.26714	+	0.814343i	−0.989245	−	0.146268i	$-0.953274\pi$
$983$	−39.7285	+	25.5319i	−1.26714	+	0.814343i	−0.277897	+	0.960611i	$0.589637\pi$
$984$	−0.586228	+	4.07731i	−0.0186883	+	0.129980i
$985$	6.69333	+	4.30154i	0.213267	+	0.137058i
$986$	−12.6126	+	27.6176i	−0.401666	+	0.879525i
$987$	−9.58411	+	11.0607i	−0.305066	+	0.352064i
$988$	−2.39813	−	2.76759i	−0.0762948	−	0.0880488i
$989$	0.245566	+	1.70795i	0.00780856	+	0.0543097i
$990$	−3.37475	+	7.38967i	−0.107257	+	0.234859i
$991$	−15.6497	+	18.0607i	−0.497128	+	0.573717i	−0.947756	−	0.318995i	$-0.896655\pi$
$991$	−15.6497	+	18.0607i	−0.497128	+	0.573717i	0.450628	+	0.892712i	$0.351200\pi$
$992$	1.05498	−	0.309769i	0.0334956	−	0.00983519i
$993$	2.06599	−	0.606628i	0.0655621	−	0.0192508i
$994$	2.61729	+	18.2037i	0.0830155	+	0.577385i
$995$	−19.7926	+	12.7200i	−0.627469	+	0.403250i
$996$	−1.34023	−	2.93469i	−0.0424667	−	0.0929891i
$997$	−12.0473	−	3.53742i	−0.381543	−	0.112031i	0.0853363	−	0.996352i	$-0.472804\pi$
$997$	−12.0473	−	3.53742i	−0.381543	−	0.112031i	−0.466879	+	0.884321i	$0.654622\pi$
$998$	2.00217	+	4.38414i	0.0633776	+	0.138778i
$999$	−0.940272	+	6.53973i	−0.0297489	+	0.206908i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	670.2.k.b.81.3	✓	50
67.24	even	11	inner	670.2.k.b.91.3	yes	50

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
670.2.k.b.81.3	✓	50	1.1	even	1	trivial
670.2.k.b.91.3	yes	50	67.24	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:	\( N \)	\(=\)	\( 670 = 2 \cdot 5 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	670.k (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.326609 - 0.209899i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(0.142315 + 0.989821i) q^{5} +(0.0552524 - 0.384289i) q^{6} +(1.81684 + 3.97833i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-1.18363 - 2.59179i) q^{9} +O(q^{10})\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.326609 - 0.209899i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(0.142315 + 0.989821i) q^{5} +(0.0552524 - 0.384289i) q^{6} +(1.81684 + 3.97833i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-1.18363 - 2.59179i) q^{9} +(-0.841254 + 0.540641i) q^{10} +(0.405766 + 2.82217i) q^{11} +(0.372514 - 0.109380i) q^{12} +(0.691469 - 0.203033i) q^{13} +(-2.86407 + 3.30532i) q^{14} +(0.161281 - 0.353156i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-2.18917 - 2.52644i) q^{17} +(1.86587 - 2.15333i) q^{18} +(-2.11094 + 4.62231i) q^{19} +(-0.841254 - 0.540641i) q^{20} +(0.241650 - 1.68071i) q^{21} +(-2.39857 + 1.54147i) q^{22} +(3.54866 + 2.28058i) q^{23} +(0.254244 + 0.293413i) q^{24} +(-0.959493 + 0.281733i) q^{25} +(0.471932 + 0.544639i) q^{26} +(-0.323186 + 2.24781i) q^{27} +(-4.19640 - 1.23217i) q^{28} -9.08219 q^{29} +0.388241 q^{30} +(1.05498 + 0.309769i) q^{31} +(0.841254 - 0.540641i) q^{32} +(0.459843 - 1.00692i) q^{33} +(1.38871 - 3.04086i) q^{34} +(-3.67927 + 2.36452i) q^{35} +(2.73385 + 0.802732i) q^{36} +2.90938 q^{37} -5.08152 q^{38} +(-0.268456 - 0.0788259i) q^{39} +(0.142315 - 0.989821i) q^{40} +(6.94807 + 8.01850i) q^{41} +(1.62921 - 0.478380i) q^{42} +(0.267874 + 0.309143i) q^{43} +(-2.39857 - 1.54147i) q^{44} +(2.39696 - 1.54043i) q^{45} +(-0.600326 + 4.17536i) q^{46} +(-7.25092 - 4.65989i) q^{47} +(-0.161281 + 0.353156i) q^{48} +(-7.94217 + 9.16575i) q^{49} +(-0.654861 - 0.755750i) q^{50} +(0.184706 + 1.28466i) q^{51} +(-0.299373 + 0.655536i) q^{52} +(-2.91081 + 3.35925i) q^{53} +(-2.17894 + 0.639794i) q^{54} +(-2.73569 + 0.803272i) q^{55} +(-0.622422 - 4.32904i) q^{56} +(1.65967 - 1.06661i) q^{57} +(-3.77288 - 8.26145i) q^{58} +(3.59834 + 1.05657i) q^{59} +(0.161281 + 0.353156i) q^{60} +(-0.536003 + 3.72798i) q^{61} +(0.156477 + 1.08832i) q^{62} +(8.16051 - 9.41773i) q^{63} +(0.841254 + 0.540641i) q^{64} +(0.299373 + 0.655536i) q^{65} +1.10695 q^{66} +(8.15376 - 0.718427i) q^{67} +3.34295 q^{68} +(-0.680331 - 1.48972i) q^{69} +(-3.67927 - 2.36452i) q^{70} +(2.75370 - 3.17793i) q^{71} +(0.405493 + 2.82027i) q^{72} +(-0.0908950 + 0.632188i) q^{73} +(1.20860 + 2.64646i) q^{74} +(0.372514 + 0.109380i) q^{75} +(-2.11094 - 4.62231i) q^{76} +(-10.4903 + 6.74170i) q^{77} +(-0.0398182 - 0.276942i) q^{78} +(8.21309 - 2.41158i) q^{79} +(0.959493 - 0.281733i) q^{80} +(-5.02025 + 5.79368i) q^{81} +(-4.40755 + 9.65119i) q^{82} +(-1.18262 - 8.22529i) q^{83} +(1.11195 + 1.28326i) q^{84} +(2.18917 - 2.52644i) q^{85} +(-0.169928 + 0.372089i) q^{86} +(2.96633 + 1.90634i) q^{87} +(0.405766 - 2.82217i) q^{88} +(11.5585 - 7.42821i) q^{89} +(2.39696 + 1.54043i) q^{90} +(2.06402 + 2.38201i) q^{91} +(-4.04743 + 1.18843i) q^{92} +(-0.279545 - 0.322612i) q^{93} +(1.22664 - 8.53146i) q^{94} +(-4.87568 - 1.43163i) q^{95} -0.388241 q^{96} +10.9446 q^{97} +(-11.6368 - 3.41686i) q^{98} +(6.83418 - 4.39206i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9}+O(q^{10}) \) 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9	\( 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9} + 5 q^{10} + 30 q^{11} - 9 q^{12} + 20 q^{13} - 21 q^{14} - 2 q^{15} - 5 q^{16} + 2 q^{17} - q^{18} + 4 q^{19} + 5 q^{20} + 23 q^{21} - 3 q^{22} - 5 q^{23} + 2 q^{24} - 5 q^{25} - 2 q^{26} + 2 q^{27} - 10 q^{28} + 26 q^{29} - 2 q^{30} + 3 q^{31} - 5 q^{32} + 38 q^{33} + 2 q^{34} - 12 q^{35} - q^{36} + 22 q^{37} - 40 q^{38} - 35 q^{39} + 5 q^{40} - 18 q^{41} - 10 q^{42} + 87 q^{43} - 3 q^{44} + 12 q^{45} + 17 q^{46} + 35 q^{47} + 2 q^{48} + 60 q^{49} - 5 q^{50} + 19 q^{51} - 24 q^{52} - 9 q^{53} + 2 q^{54} + 25 q^{55} + 12 q^{56} + 64 q^{57} + 4 q^{58} - 49 q^{59} - 2 q^{60} - 47 q^{61} - 19 q^{62} - 24 q^{63} - 5 q^{64} + 24 q^{65} - 6 q^{66} - 21 q^{67} + 2 q^{68} - 25 q^{69} - 12 q^{70} + 92 q^{71} - q^{72} + 18 q^{73} - 22 q^{74} - 9 q^{75} + 4 q^{76} - 65 q^{77} + 31 q^{78} - 58 q^{79} + 5 q^{80} - 77 q^{81} - 18 q^{82} - 49 q^{83} - 54 q^{84} - 2 q^{85} - q^{86} - 147 q^{87} + 30 q^{88} - 21 q^{89} + 12 q^{90} + 62 q^{91} + 6 q^{92} - 34 q^{93} - 9 q^{94} + 7 q^{95} + 2 q^{96} + 98 q^{97} - 39 q^{98} - 4 q^{99}+O(q^{100}) \) 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9 + 5 * q^10 + 30 * q^11 - 9 * q^12 + 20 * q^13 - 21 * q^14 - 2 * q^15 - 5 * q^16 + 2 * q^17 - q^18 + 4 * q^19 + 5 * q^20 + 23 * q^21 - 3 * q^22 - 5 * q^23 + 2 * q^24 - 5 * q^25 - 2 * q^26 + 2 * q^27 - 10 * q^28 + 26 * q^29 - 2 * q^30 + 3 * q^31 - 5 * q^32 + 38 * q^33 + 2 * q^34 - 12 * q^35 - q^36 + 22 * q^37 - 40 * q^38 - 35 * q^39 + 5 * q^40 - 18 * q^41 - 10 * q^42 + 87 * q^43 - 3 * q^44 + 12 * q^45 + 17 * q^46 + 35 * q^47 + 2 * q^48 + 60 * q^49 - 5 * q^50 + 19 * q^51 - 24 * q^52 - 9 * q^53 + 2 * q^54 + 25 * q^55 + 12 * q^56 + 64 * q^57 + 4 * q^58 - 49 * q^59 - 2 * q^60 - 47 * q^61 - 19 * q^62 - 24 * q^63 - 5 * q^64 + 24 * q^65 - 6 * q^66 - 21 * q^67 + 2 * q^68 - 25 * q^69 - 12 * q^70 + 92 * q^71 - q^72 + 18 * q^73 - 22 * q^74 - 9 * q^75 + 4 * q^76 - 65 * q^77 + 31 * q^78 - 58 * q^79 + 5 * q^80 - 77 * q^81 - 18 * q^82 - 49 * q^83 - 54 * q^84 - 2 * q^85 - q^86 - 147 * q^87 + 30 * q^88 - 21 * q^89 + 12 * q^90 + 62 * q^91 + 6 * q^92 - 34 * q^93 - 9 * q^94 + 7 * q^95 + 2 * q^96 + 98 * q^97 - 39 * q^98 - 4 * q^99

Introduction

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