LMFDB - Embedded newform 966.2.r.b.113.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.6
Character	$\chi$	$=$	966.113
Dual form			966.2.r.b.701.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 + 0.841254i) q^{2} +(-0.200773 + 1.72037i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.64132 + 0.775563i) q^{5} +(-1.33873 - 1.09901i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.91938 - 0.690811i) q^{9} +O(q^{10})$	\(q+(-0.540641 + 0.841254i) q^{2} +(-0.200773 + 1.72037i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.64132 + 0.775563i) q^{5} +(-1.33873 - 1.09901i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.91938 - 0.690811i) q^{9} +(-2.08045 + 1.80272i) q^{10} +(1.90315 - 1.22308i) q^{11} +(1.64831 - 0.532040i) q^{12} +(-1.56408 - 1.80504i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(-1.86457 + 4.38836i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-2.72517 + 5.96728i) q^{17} +(2.15948 - 2.08246i) q^{18} +(-4.71257 + 2.15216i) q^{19} +(-0.391769 - 2.72481i) q^{20} +(-1.27834 + 1.16869i) q^{21} +2.26228i q^{22} +(1.55111 + 4.53807i) q^{23} +(-0.443565 + 1.67429i) q^{24} +(2.16883 + 1.39382i) q^{25} +(2.36410 - 0.339906i) q^{26} +(1.77459 - 4.88373i) q^{27} +(0.281733 - 0.959493i) q^{28} +(9.20288 + 4.20281i) q^{29} +(-2.68366 - 3.94110i) q^{30} +(-0.0833914 + 0.580000i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(1.72206 + 3.51970i) q^{33} +(-3.54666 - 5.51871i) q^{34} +(1.48829 + 2.31583i) q^{35} +(0.584370 + 2.94253i) q^{36} +(2.24832 + 7.65707i) q^{37} +(0.737297 - 5.12801i) q^{38} +(3.41937 - 2.32839i) q^{39} +(2.50407 + 1.14357i) q^{40} +(-0.655219 + 2.23147i) q^{41} +(-0.292045 - 1.70725i) q^{42} +(-10.6622 + 1.53300i) q^{43} +(-1.90315 - 1.22308i) q^{44} +(-7.17526 - 4.08882i) q^{45} +(-4.65626 - 1.14859i) q^{46} -2.25999i q^{47} +(-1.16869 - 1.27834i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-2.34512 + 1.07098i) q^{50} +(-9.71883 - 5.88638i) q^{51} +(-0.992182 + 2.17257i) q^{52} +(-6.03955 + 6.97001i) q^{53} +(3.14904 + 4.13322i) q^{54} +(5.97542 - 1.75454i) q^{55} +(0.654861 + 0.755750i) q^{56} +(-2.75636 - 8.53949i) q^{57} +(-8.51109 + 5.46974i) q^{58} +(7.05198 - 6.11058i) q^{59} +(4.76636 - 0.126919i) q^{60} +(13.3568 + 1.92041i) q^{61} +(-0.442842 - 0.383725i) q^{62} +(-1.75394 - 2.43387i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-2.73131 - 5.98074i) q^{65} +(-3.89197 - 0.454206i) q^{66} +(-5.93445 + 9.23419i) q^{67} +6.56011 q^{68} +(-8.11860 + 1.75737i) q^{69} -2.75283 q^{70} +(7.18971 - 11.1874i) q^{71} +(-2.79135 - 1.09925i) q^{72} +(-3.67041 - 8.03708i) q^{73} +(-7.65707 - 2.24832i) q^{74} +(-2.83334 + 3.45136i) q^{75} +(3.91535 + 3.39267i) q^{76} +(2.23925 + 0.321956i) q^{77} +(0.110118 + 4.13538i) q^{78} +(1.34626 - 1.16654i) q^{79} +(-2.31583 + 1.48829i) q^{80} +(8.04556 + 4.03348i) q^{81} +(-1.52299 - 1.75763i) q^{82} +(-6.18366 + 1.81569i) q^{83} +(1.59412 + 0.677326i) q^{84} +(-11.8261 + 13.6480i) q^{85} +(4.47480 - 9.79845i) q^{86} +(-9.07811 + 14.9886i) q^{87} +(2.05784 - 0.939785i) q^{88} +(0.900917 + 6.26602i) q^{89} +(7.31897 - 3.82563i) q^{90} -2.38841i q^{91} +(3.48362 - 3.29612i) q^{92} +(-0.981075 - 0.259913i) q^{93} +(1.90123 + 1.22185i) q^{94} +(-14.1166 + 2.02966i) q^{95} +(1.70725 - 0.292045i) q^{96} +(5.20830 - 17.7378i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(-6.40094 + 2.25592i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

Coefficient data

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

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

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

$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$3$	−0.200773	+	1.72037i	−0.115917	+	0.993259i
$3$	−0.200773	+	1.72037i	−0.115917	+	0.993259i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	2.64132	+	0.775563i	1.18124	+	0.346842i	0.812650	−	0.582751i	$-0.198024\pi$
$5$	2.64132	+	0.775563i	1.18124	+	0.346842i	0.368586	+	0.929594i	$0.379842\pi$
$6$	−1.33873	−	1.09901i	−0.546532	−	0.448667i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$8$	0.989821	+	0.142315i	0.349955	+	0.0503159i
$9$	−2.91938	−	0.690811i	−0.973127	−	0.230270i
$10$	−2.08045	+	1.80272i	−0.657897	+	0.570071i
$11$	1.90315	−	1.22308i	0.573822	−	0.368773i	−0.221316	−	0.975202i	$-0.571035\pi$
$11$	1.90315	−	1.22308i	0.573822	−	0.368773i	0.795137	+	0.606429i	$0.207399\pi$
$12$	1.64831	−	0.532040i	0.475827	−	0.153587i
$13$	−1.56408	−	1.80504i	−0.433797	−	0.500628i	0.496194	−	0.868212i	$-0.334731\pi$
$13$	−1.56408	−	1.80504i	−0.433797	−	0.500628i	−0.929990	+	0.367584i	$0.880185\pi$
$14$	−0.959493	+	0.281733i	−0.256435	+	0.0752962i
$15$	−1.86457	+	4.38836i	−0.481429	+	1.13307i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−2.72517	+	5.96728i	−0.660950	+	1.44728i	0.220684	+	0.975345i	$0.429171\pi$
$17$	−2.72517	+	5.96728i	−0.660950	+	1.44728i	−0.881634	+	0.471934i	$0.843556\pi$
$18$	2.15948	−	2.08246i	0.508995	−	0.490840i
$19$	−4.71257	+	2.15216i	−1.08114	+	0.493739i	−0.874672	−	0.484714i	$-0.838924\pi$
$19$	−4.71257	+	2.15216i	−1.08114	+	0.493739i	−0.206466	+	0.978454i	$0.566196\pi$
$20$	−0.391769	−	2.72481i	−0.0876022	−	0.609287i
$21$	−1.27834	+	1.16869i	−0.278957	+	0.255030i
$22$			2.26228i			0.482320i
$23$	1.55111	+	4.53807i	0.323429	+	0.946253i
$23$	1.55111	+	4.53807i	0.323429	+	0.946253i
$24$	−0.443565	+	1.67429i	−0.0905423	+	0.341763i
$25$	2.16883	+	1.39382i	0.433766	+	0.278764i
$26$	2.36410	−	0.339906i	0.463638	−	0.0666611i
$27$	1.77459	−	4.88373i	0.341520	−	0.939875i
$28$	0.281733	−	0.959493i	0.0532424	−	0.181327i
$29$	9.20288	+	4.20281i	1.70893	+	0.780443i	0.996933	+	0.0782627i	$0.0249373\pi$
$29$	9.20288	+	4.20281i	1.70893	+	0.780443i	0.711999	+	0.702180i	$0.247790\pi$
$30$	−2.68366	−	3.94110i	−0.489967	−	0.719543i
$31$	−0.0833914	+	0.580000i	−0.0149775	+	0.104171i	−0.995939	−	0.0900321i	$-0.971303\pi$
$31$	−0.0833914	+	0.580000i	−0.0149775	+	0.104171i	0.980961	+	0.194203i	$0.0622121\pi$
$32$	−0.281733	−	0.959493i	−0.0498038	−	0.169616i
$33$	1.72206	+	3.51970i	0.299771	+	0.612700i
$34$	−3.54666	−	5.51871i	−0.608248	−	0.946452i
$35$	1.48829	+	2.31583i	0.251568	+	0.391447i
$36$	0.584370	+	2.94253i	0.0973951	+	0.490422i
$37$	2.24832	+	7.65707i	0.369621	+	1.25882i	0.909016	+	0.416762i	$0.136835\pi$
$37$	2.24832	+	7.65707i	0.369621	+	1.25882i	−0.539394	+	0.842053i	$0.681347\pi$
$38$	0.737297	−	5.12801i	0.119605	−	0.831874i
$39$	3.41937	−	2.32839i	0.547538	−	0.372841i
$40$	2.50407	+	1.14357i	0.395928	+	0.180814i
$41$	−0.655219	+	2.23147i	−0.102328	+	0.348497i	−0.994702	−	0.102799i	$-0.967220\pi$
$41$	−0.655219	+	2.23147i	−0.102328	+	0.348497i	0.892374	+	0.451296i	$0.149038\pi$
$42$	−0.292045	−	1.70725i	−0.0450635	−	0.263435i
$43$	−10.6622	+	1.53300i	−1.62598	+	0.233780i	−0.894169	−	0.447730i	$-0.852233\pi$
$43$	−10.6622	+	1.53300i	−1.62598	+	0.233780i	−0.731809	+	0.681510i	$0.761323\pi$
$44$	−1.90315	−	1.22308i	−0.286911	−	0.184386i
$45$	−7.17526	−	4.08882i	−1.06962	−	0.609525i
$46$	−4.65626	−	1.14859i	−0.686528	−	0.169350i
$47$		−	2.25999i		−	0.329654i	−0.986322	−	0.164827i	$-0.947293\pi$
$47$		−	2.25999i		−	0.329654i	0.986322	−	0.164827i	$-0.0527066\pi$
$48$	−1.16869	−	1.27834i	−0.168686	−	0.184513i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−2.34512	+	1.07098i	−0.331649	+	0.151459i
$51$	−9.71883	−	5.88638i	−1.36091	−	0.824258i
$52$	−0.992182	+	2.17257i	−0.137591	+	0.301282i
$53$	−6.03955	+	6.97001i	−0.829595	+	0.957404i	−0.999607	−	0.0280380i	$-0.991074\pi$
$53$	−6.03955	+	6.97001i	−0.829595	+	0.957404i	0.170011	+	0.985442i	$0.445620\pi$
$54$	3.14904	+	4.13322i	0.428530	+	0.562460i
$55$	5.97542	−	1.75454i	0.805725	−	0.236582i
$56$	0.654861	+	0.755750i	0.0875094	+	0.100991i
$57$	−2.75636	−	8.53949i	−0.365089	−	1.13108i
$58$	−8.51109	+	5.46974i	−1.11756	+	0.718212i
$59$	7.05198	−	6.11058i	0.918090	−	0.795530i	−0.0611719	−	0.998127i	$-0.519484\pi$
$59$	7.05198	−	6.11058i	0.918090	−	0.795530i	0.979262	+	0.202598i	$0.0649383\pi$
$60$	4.76636	−	0.126919i	0.615334	−	0.0163852i
$61$	13.3568	+	1.92041i	1.71016	+	0.245884i	0.926765	−	0.375641i	$-0.122577\pi$
$61$	13.3568	+	1.92041i	1.71016	+	0.245884i	0.783395	+	0.621525i	$0.213486\pi$
$62$	−0.442842	−	0.383725i	−0.0562410	−	0.0487331i
$63$	−1.75394	−	2.43387i	−0.220975	−	0.306638i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	−2.73131	−	5.98074i	−0.338777	−	0.741819i
$66$	−3.89197	−	0.454206i	−0.479068	−	0.0559089i
$67$	−5.93445	+	9.23419i	−0.725009	+	1.12814i	0.261623	+	0.965170i	$0.415742\pi$
$67$	−5.93445	+	9.23419i	−0.725009	+	1.12814i	−0.986632	+	0.162966i	$0.947894\pi$
$68$	6.56011			0.795530
$69$	−8.11860	+	1.75737i	−0.977365	+	0.211562i
$70$	−2.75283			−0.329027
$71$	7.18971	−	11.1874i	0.853262	−	1.32770i	−0.0900990	−	0.995933i	$-0.528718\pi$
$71$	7.18971	−	11.1874i	0.853262	−	1.32770i	0.943361	−	0.331769i	$-0.107645\pi$
$72$	−2.79135	−	1.09925i	−0.328964	−	0.129548i
$73$	−3.67041	−	8.03708i	−0.429589	−	0.940670i	−0.993393	−	0.114761i	$-0.963390\pi$
$73$	−3.67041	−	8.03708i	−0.429589	−	0.940670i	0.563804	−	0.825909i	$-0.309337\pi$
$74$	−7.65707	−	2.24832i	−0.890117	−	0.261362i
$75$	−2.83334	+	3.45136i	−0.327166	+	0.398528i
$76$	3.91535	+	3.39267i	0.449121	+	0.389166i
$77$	2.23925	+	0.321956i	0.255187	+	0.0366903i
$78$	0.110118	+	4.13538i	0.0124684	+	0.468240i
$79$	1.34626	−	1.16654i	0.151466	−	0.131246i	−0.575832	−	0.817568i	$-0.695322\pi$
$79$	1.34626	−	1.16654i	0.151466	−	0.131246i	0.727297	+	0.686323i	$0.240776\pi$
$80$	−2.31583	+	1.48829i	−0.258918	+	0.166396i
$81$	8.04556	+	4.03348i	0.893951	+	0.448165i
$82$	−1.52299	−	1.75763i	−0.168187	−	0.194098i
$83$	−6.18366	+	1.81569i	−0.678744	+	0.199297i	−0.602893	−	0.797822i	$-0.705986\pi$
$83$	−6.18366	+	1.81569i	−0.678744	+	0.199297i	−0.0758511	+	0.997119i	$0.524167\pi$
$84$	1.59412	+	0.677326i	0.173933	+	0.0739024i
$85$	−11.8261	+	13.6480i	−1.28272	+	1.48033i
$86$	4.47480	−	9.79845i	0.482531	−	1.05659i
$87$	−9.07811	+	14.9886i	−0.973276	+	1.60695i
$88$	2.05784	−	0.939785i	0.219367	−	0.100181i
$89$	0.900917	+	6.26602i	0.0954971	+	0.664197i	0.980195	+	0.198033i	$0.0634552\pi$
$89$	0.900917	+	6.26602i	0.0954971	+	0.664197i	−0.884698	+	0.466164i	$0.845636\pi$
$90$	7.31897	−	3.82563i	0.771488	−	0.403257i
$91$		−	2.38841i		−	0.250373i
$92$	3.48362	−	3.29612i	0.363192	−	0.343644i
$93$	−0.981075	−	0.259913i	−0.101733	−	0.0269517i
$94$	1.90123	+	1.22185i	0.196097	+	0.126024i
$95$	−14.1166	+	2.02966i	−1.44833	+	0.208238i
$96$	1.70725	−	0.292045i	0.174246	−	0.0298067i
$97$	5.20830	−	17.7378i	0.528822	−	1.80100i	−0.0668341	−	0.997764i	$-0.521290\pi$
$97$	5.20830	−	17.7378i	0.528822	−	1.80100i	0.595656	−	0.803239i	$-0.296892\pi$
$98$	−0.909632	−	0.415415i	−0.0918867	−	0.0419633i
$99$	−6.40094	+	2.25592i	−0.643319	+	0.226729i
$100$	0.366901	−	2.55185i	0.0366901	−	0.255185i
$101$	−3.24901	−	11.0651i	−0.323289	−	1.10102i	−0.947498	−	0.319763i	$-0.896397\pi$
$101$	−3.24901	−	11.0651i	−0.323289	−	1.10102i	0.624209	−	0.781258i	$-0.285421\pi$
$102$	10.2063	−	4.99358i	1.01058	−	0.494438i
$103$	−10.4263	−	16.2236i	−1.02733	−	1.59856i	−0.776081	−	0.630634i	$-0.782795\pi$
$103$	−10.4263	−	16.2236i	−1.02733	−	1.59856i	−0.251249	−	0.967923i	$-0.580841\pi$
$104$	−1.29127	−	2.00926i	−0.126620	−	0.197024i
$105$	−4.28291	+	2.09547i	−0.417969	+	0.204497i
$106$	−2.59832	−	8.84906i	−0.252371	−	0.859497i
$107$	−0.759518	+	5.28256i	−0.0734254	+	0.510685i	0.919607	+	0.392840i	$0.128508\pi$
$107$	−0.759518	+	5.28256i	−0.0734254	+	0.510685i	−0.993032	+	0.117844i	$0.962402\pi$
$108$	−5.17959	+	0.414553i	−0.498406	+	0.0398904i
$109$	14.7254	+	6.72488i	1.41044	+	0.644127i	0.967604	−	0.252475i	$-0.0812444\pi$
$109$	14.7254	+	6.72488i	1.41044	+	0.644127i	0.442838	+	0.896602i	$0.353972\pi$
$110$	−1.75454	+	5.97542i	−0.167289	+	0.569734i
$111$	−13.6244	+	2.33062i	−1.29317	+	0.221212i
$112$	−0.989821	+	0.142315i	−0.0935293	+	0.0134475i
$113$	−6.53675	−	4.20091i	−0.614926	−	0.395189i	0.195776	−	0.980649i	$-0.437278\pi$
$113$	−6.53675	−	4.20091i	−0.614926	−	0.395189i	−0.810701	+	0.585460i	$0.800914\pi$
$114$	8.67408	+	2.29800i	0.812402	+	0.215227i
$115$	0.577427	+	13.1895i	0.0538453	+	1.22993i
$116$		−	10.1171i		−	0.939353i
$117$	3.31919	+	6.35008i	0.306859	+	0.587065i
$118$	1.32796	+	9.23614i	0.122248	+	0.850255i
$119$	−5.96728	+	2.72517i	−0.547020	+	0.249816i
$120$	−2.47012	+	4.07833i	−0.225490	+	0.372299i
$121$	−2.44351	+	5.35054i	−0.222137	+	0.486412i
$122$	−8.83677	+	10.1982i	−0.800044	+	0.923300i
$123$	−3.70742	−	1.57524i	−0.334286	−	0.142035i
$124$	0.562229	−	0.165085i	0.0504896	−	0.0148251i
$125$	−4.36603	−	5.03866i	−0.390509	−	0.450672i
$126$	2.99575	−	0.159656i	0.266883	−	0.0142233i
$127$	0.687467	−	0.441808i	0.0610028	−	0.0392041i	−0.509784	−	0.860302i	$-0.670275\pi$
$127$	0.687467	−	0.441808i	0.0610028	−	0.0392041i	0.570787	+	0.821098i	$0.306638\pi$
$128$	−0.755750	+	0.654861i	−0.0667995	+	0.0578821i
$129$	−0.496638	−	18.6508i	−0.0437266	−	1.64212i
$130$	6.50797	+	0.935705i	0.570787	+	0.0820668i
$131$	2.16235	+	1.87369i	0.188925	+	0.163705i	0.744188	−	0.667970i	$-0.232837\pi$
$131$	2.16235	+	1.87369i	0.188925	+	0.163705i	−0.555262	+	0.831675i	$0.687382\pi$
$132$	2.48626	−	3.02857i	0.216401	−	0.263603i
$133$	−4.97089	−	1.45958i	−0.431031	−	0.126562i
$134$	−4.55989	−	9.98476i	−0.393914	−	0.862552i
$135$	8.47490	−	11.5232i	0.729404	−	0.991760i
$136$	−3.54666	+	5.51871i	−0.304124	+	0.473226i
$137$	11.3050			0.965850			0.482925	−	0.875662i	$-0.339574\pi$
$137$	11.3050			0.965850			0.482925	+	0.875662i	$0.339574\pi$
$138$	2.91086	−	7.77990i	0.247788	−	0.662269i
$139$	−8.62729			−0.731757			−0.365878	−	0.930663i	$-0.619231\pi$
$139$	−8.62729			−0.731757			−0.365878	+	0.930663i	$0.619231\pi$
$140$	1.48829	−	2.31583i	0.125784	−	0.195723i
$141$	3.88804	+	0.453747i	0.327432	+	0.0382124i
$142$	5.52440	+	12.0967i	0.463597	+	1.01514i
$143$	−5.18439	−	1.52227i	−0.433540	−	0.127299i
$144$	2.43387	−	1.75394i	0.202822	−	0.146161i
$145$	21.0482	+	18.2384i	1.74796	+	1.51462i
$146$	8.74560	+	1.25743i	0.723791	+	0.104065i
$147$	−1.73144	+	0.0461050i	−0.142807	+	0.00380268i
$148$	6.03113	−	5.22601i	0.495756	−	0.429575i
$149$	9.49541	−	6.10233i	0.777895	−	0.499922i	−0.0904397	−	0.995902i	$-0.528827\pi$
$149$	9.49541	−	6.10233i	0.777895	−	0.499922i	0.868334	+	0.495979i	$0.165191\pi$
$150$	−1.37165	−	4.24950i	−0.111995	−	0.346970i
$151$	13.4395	+	15.5100i	1.09369	+	1.26219i	0.962631	+	0.270816i	$0.0872934\pi$
$151$	13.4395	+	15.5100i	1.09369	+	1.26219i	0.131062	+	0.991374i	$0.458161\pi$
$152$	−4.97089	+	1.45958i	−0.403192	+	0.118388i
$153$	12.0781	−	15.5382i	0.976454	−	1.25619i
$154$	−1.48148	+	1.70972i	−0.119381	+	0.137773i
$155$	−0.670090	+	1.46729i	−0.0538230	+	0.117856i
$156$	−3.53844	−	2.14312i	−0.283302	−	0.171587i
$157$	16.4790	−	7.52573i	1.31517	−	0.600619i	0.370560	−	0.928809i	$-0.379166\pi$
$157$	16.4790	−	7.52573i	1.31517	−	0.600619i	0.944612	+	0.328190i	$0.106439\pi$
$158$	0.253513	+	1.76322i	0.0201684	+	0.140274i
$159$	−10.7784	−	11.7897i	−0.854786	−	0.934982i
$160$		−	2.75283i		−	0.217631i
$161$	−1.79955	+	4.44540i	−0.141825	+	0.350347i
$162$	−7.74294	+	4.58769i	−0.608343	+	0.360443i
$163$	4.95993	+	3.18755i	0.388491	+	0.249668i	0.720277	−	0.693687i	$-0.244015\pi$
$163$	4.95993	+	3.18755i	0.388491	+	0.249668i	−0.331786	+	0.943355i	$0.607651\pi$
$164$	2.30201	−	0.330978i	0.179756	−	0.0258451i
$165$	1.81876	+	10.6322i	0.141590	+	0.827717i
$166$	1.81569	−	6.18366i	0.140924	−	0.479945i
$167$	3.16752	+	1.44656i	0.245110	+	0.111938i	0.534182	−	0.845369i	$-0.320620\pi$
$167$	3.16752	+	1.44656i	0.245110	+	0.111938i	−0.289072	+	0.957307i	$0.593347\pi$
$168$	−1.43165	+	0.974872i	−0.110454	+	0.0752130i
$169$	1.03826	−	7.22124i	0.0798659	−	0.555480i
$170$	−5.08778	−	17.3274i	−0.390215	−	1.32895i
$171$	15.2445	−	3.02747i	1.16578	−	0.231517i
$172$	5.82372	+	9.06189i	0.444055	+	0.690963i
$173$	5.51478	+	8.58117i	0.419281	+	0.652414i	0.985074	−	0.172134i	$-0.0550661\pi$
$173$	5.51478	+	8.58117i	0.419281	+	0.652414i	−0.565793	+	0.824548i	$0.691430\pi$
$174$	−7.70121	−	15.7404i	−0.583827	−	1.19328i
$175$	0.726333	+	2.47366i	0.0549056	+	0.186991i
$176$	−0.321956	+	2.23925i	−0.0242684	+	0.168790i
$177$	9.09664	+	13.3589i	0.683745	+	1.00412i
$178$	−5.75838	−	2.62977i	−0.431609	−	0.197109i
$179$	4.13104	−	14.0690i	0.308768	−	1.05157i	−0.648223	−	0.761451i	$-0.724487\pi$
$179$	4.13104	−	14.0690i	0.308768	−	1.05157i	0.956991	−	0.290117i	$-0.0936943\pi$
$180$	−0.738609	+	8.22541i	−0.0550527	+	0.613086i
$181$	−1.36766	+	0.196639i	−0.101657	+	0.0146161i	−0.192956	−	0.981207i	$-0.561807\pi$
$181$	−1.36766	+	0.196639i	−0.101657	+	0.0146161i	0.0912986	+	0.995824i	$0.470898\pi$
$182$	2.00926	+	1.29127i	0.148936	+	0.0957155i
$183$	−5.98552	+	22.5931i	−0.442462	+	1.67013i
$184$	0.889487	+	4.71262i	0.0655739	+	0.347419i
$185$			21.9685i			1.61516i
$186$	0.749062	−	0.684813i	0.0549239	−	0.0502129i
$187$	2.11207	+	14.6897i	0.154450	+	1.07422i
$188$	−2.05576	+	0.938836i	−0.149932	+	0.0684716i
$189$	4.53931	−	2.52877i	0.330186	−	0.183941i
$190$	5.92454	−	12.9729i	0.429811	−	0.941155i
$191$	0.713590	−	0.823527i	0.0516335	−	0.0595883i	−0.729345	−	0.684146i	$-0.760175\pi$
$191$	0.713590	−	0.823527i	0.0516335	−	0.0595883i	0.780979	+	0.624558i	$0.214721\pi$
$192$	−0.677326	+	1.59412i	−0.0488818	+	0.115046i
$193$	1.09600	−	0.321815i	0.0788918	−	0.0231647i	−0.242048	−	0.970264i	$-0.577819\pi$
$193$	1.09600	−	0.321815i	0.0788918	−	0.0231647i	0.320940	+	0.947099i	$0.396001\pi$
$194$	12.1062	+	13.9713i	0.869174	+	1.00308i
$195$	10.8375	−	3.49811i	0.776088	−	0.250505i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	12.1984	−	10.5699i	0.869098	−	0.753077i	−0.101232	−	0.994863i	$-0.532278\pi$
$197$	12.1984	−	10.5699i	0.869098	−	0.753077i	0.970330	+	0.241786i	$0.0777330\pi$
$198$	1.56281	−	6.60446i	0.111064	−	0.469358i
$199$	8.75619	+	1.25895i	0.620710	+	0.0892446i	0.445493	−	0.895285i	$-0.353028\pi$
$199$	8.75619	+	1.25895i	0.620710	+	0.0892446i	0.175217	+	0.984530i	$0.443937\pi$
$200$	1.94839	+	1.68829i	0.137772	+	0.119380i
$201$	−14.6948	−	12.0635i	−1.03649	−	0.850891i
$202$	11.0651	+	3.24901i	0.778539	+	0.228600i
$203$	4.20281	+	9.20288i	0.294980	+	0.645916i
$204$	−1.31710	+	11.2858i	−0.0922151	+	0.790167i
$205$	−3.46129	+	5.38588i	−0.241747	+	0.376166i
$206$	19.2850			1.34365
$207$	−1.39333	−	14.3199i	−0.0968431	−	0.995300i
$208$	2.38841			0.165606
$209$	−6.33647	+	9.85974i	−0.438303	+	0.682013i
$210$	0.552696	−	4.73591i	0.0381396	−	0.326809i
$211$	−2.80076	−	6.13282i	−0.192812	−	0.422200i	0.788392	−	0.615174i	$-0.210914\pi$
$211$	−2.80076	−	6.13282i	−0.192812	−	0.422200i	−0.981204	+	0.192973i	$0.938187\pi$
$212$	8.84906	+	2.59832i	0.607756	+	0.178453i
$213$	17.8030	+	14.6151i	1.21984	+	1.00141i
$214$	−4.03335	−	3.49492i	−0.275714	−	0.238908i
$215$	−29.3514	−	4.22009i	−2.00175	−	0.287808i
$216$	2.45155	−	4.58147i	0.166807	−	0.311730i
$217$	−0.442842	+	0.383725i	−0.0300621	+	0.0260490i
$218$	−13.6185	+	8.75208i	−0.922362	+	0.592766i
$219$	14.5637	−	4.70085i	0.984125	−	0.317654i
$220$	−4.07826	−	4.70657i	−0.274956	−	0.317317i
$221$	15.0336	−	4.41425i	1.01127	−	0.296935i
$222$	5.40529	−	12.7216i	0.362779	−	0.853820i
$223$	−5.38978	+	6.22014i	−0.360926	+	0.416531i	−0.906950	−	0.421239i	$-0.861596\pi$
$223$	−5.38978	+	6.22014i	−0.360926	+	0.416531i	0.546023	+	0.837770i	$0.316141\pi$
$224$	0.415415	−	0.909632i	0.0277561	−	0.0607773i
$225$	−5.36877	−	5.56735i	−0.357918	−	0.371157i
$226$	7.06807	−	3.22788i	0.470161	−	0.214715i
$227$	−1.88600	−	13.1174i	−0.125178	−	0.870635i	−0.951546	−	0.307505i	$-0.900506\pi$
$227$	−1.88600	−	13.1174i	−0.125178	−	0.870635i	0.826368	−	0.563130i	$-0.190403\pi$
$228$	−6.62276	+	6.05471i	−0.438603	+	0.400983i
$229$		−	9.57957i		−	0.633036i	−0.948587	−	0.316518i	$-0.897486\pi$
$229$		−	9.57957i		−	0.633036i	0.948587	−	0.316518i	$-0.102514\pi$
$230$	−11.4079	−	6.64502i	−0.752214	−	0.438159i
$231$	−1.00347	+	3.78772i	−0.0660233	+	0.249213i
$232$	8.51109	+	5.46974i	0.558780	+	0.359106i
$233$	11.6663	−	1.67736i	0.764284	−	0.109887i	0.250861	−	0.968023i	$-0.419286\pi$
$233$	11.6663	−	1.67736i	0.764284	−	0.109887i	0.513423	+	0.858136i	$0.328377\pi$
$234$	−7.13652	−	0.640831i	−0.466529	−	0.0418925i
$235$	1.75277	−	5.96938i	0.114338	−	0.389399i
$236$	−8.48788	−	3.87628i	−0.552514	−	0.252325i
$237$	1.73659	+	2.55027i	0.112804	+	0.165658i
$238$	0.933601	−	6.49334i	0.0605164	−	0.420900i
$239$	2.39959	+	8.17224i	0.155216	+	0.528618i	0.999979	−	0.00652342i	$-0.00207648\pi$
$239$	2.39959	+	8.17224i	0.155216	+	0.528618i	−0.844762	+	0.535141i	$0.820258\pi$
$240$	−2.09547	−	4.28291i	−0.135262	−	0.276460i
$241$	4.52328	+	7.03836i	0.291370	+	0.453380i	0.955820	−	0.293952i	$-0.0949706\pi$
$241$	4.52328	+	7.03836i	0.291370	+	0.453380i	−0.664450	+	0.747332i	$0.731334\pi$
$242$	−3.18010	−	4.94833i	−0.204424	−	0.318091i
$243$	−8.55443	+	13.0316i	−0.548767	+	0.835975i
$244$	−3.80173	−	12.9475i	−0.243381	−	0.828880i
$245$	−0.391769	+	2.72481i	−0.0250292	+	0.174082i
$246$	3.32956	−	2.26724i	0.212285	−	0.144554i
$247$	11.2556	+	5.14024i	0.716174	+	0.327066i
$248$	−0.165085	+	0.562229i	−0.0104829	+	0.0357016i
$249$	−1.88215	−	11.0027i	−0.119276	−	0.697271i
$250$	6.59925	−	0.948828i	0.417373	−	0.0600092i
$251$	−15.3464	−	9.86251i	−0.968654	−	0.622516i	−0.0422740	−	0.999106i	$-0.513460\pi$
$251$	−15.3464	−	9.86251i	−0.968654	−	0.622516i	−0.926380	+	0.376590i	$0.877097\pi$
$252$	−1.48531	+	2.60650i	−0.0935659	+	0.164194i
$253$	8.50242	+	6.73950i	0.534543	+	0.423709i
$254$			0.817193i			0.0512753i
$255$	−21.1053	−	23.0854i	−1.32167	−	1.44566i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	12.3696	−	5.64901i	0.771595	−	0.352376i	0.00959629	−	0.999954i	$-0.496945\pi$
$257$	12.3696	−	5.64901i	0.771595	−	0.352376i	0.761999	+	0.647578i	$0.224218\pi$
$258$	15.9586	+	9.66561i	0.993539	+	0.601755i
$259$	−3.31515	+	7.25917i	−0.205993	+	0.451063i
$260$	−4.30564	+	4.96898i	−0.267025	+	0.308163i
$261$	−23.9634	−	18.6271i	−1.48329	−	1.15299i
$262$	−2.74530	+	0.806093i	−0.169605	+	0.0498006i
$263$	11.0824	+	12.7897i	0.683368	+	0.788649i	0.986405	−	0.164330i	$-0.0525461\pi$
$263$	11.0824	+	12.7897i	0.683368	+	0.788649i	−0.303037	+	0.952979i	$0.598001\pi$
$264$	1.20362	+	3.72894i	0.0740779	+	0.229501i
$265$	−21.3581	+	13.7260i	−1.31202	+	0.843182i
$266$	3.91535	−	3.39267i	0.240065	−	0.208018i
$267$	−10.9608	+	0.291866i	−0.670789	+	0.0178619i
$268$	10.8650	+	1.56215i	0.663684	+	0.0954234i
$269$	9.74785	+	8.44656i	0.594337	+	0.514996i	0.899279	−	0.437375i	$-0.144092\pi$
$269$	9.74785	+	8.44656i	0.594337	+	0.514996i	−0.304942	+	0.952371i	$0.598637\pi$
$270$	5.11207	+	13.3595i	0.311110	+	0.813031i
$271$	2.47851	+	0.727756i	0.150559	+	0.0442080i	0.356143	−	0.934431i	$-0.384091\pi$
$271$	2.47851	+	0.727756i	0.150559	+	0.0442080i	−0.205585	+	0.978639i	$0.565910\pi$
$272$	−2.72517	−	5.96728i	−0.165238	−	0.361820i
$273$	4.10896	+	0.479529i	0.248686	+	0.0290224i
$274$	−6.11193	+	9.51036i	−0.369235	+	0.574542i
$275$	5.83237			0.351705
$276$	4.97115	+	6.65490i	0.299228	+	0.400578i
$277$	1.33608			0.0802770			0.0401385	−	0.999194i	$-0.487220\pi$
$277$	1.33608			0.0802770			0.0401385	+	0.999194i	$0.487220\pi$
$278$	4.66426	−	7.25773i	0.279744	−	0.435290i
$279$	0.644122	−	1.63563i	0.0385626	−	0.0979228i
$280$	1.14357	+	2.50407i	0.0683413	+	0.149647i
$281$	7.54556	+	2.21558i	0.450131	+	0.132170i	0.498937	−	0.866638i	$-0.333724\pi$
$281$	7.54556	+	2.21558i	0.450131	+	0.132170i	−0.0488069	+	0.998808i	$0.515542\pi$
$282$	−2.48375	+	3.02551i	−0.147905	+	0.180167i
$283$	−12.4872	−	10.8202i	−0.742286	−	0.643194i	0.199311	−	0.979936i	$-0.436130\pi$
$283$	−12.4872	−	10.8202i	−0.742286	−	0.643194i	−0.941597	+	0.336742i	$0.890675\pi$
$284$	−13.1631	−	1.89257i	−0.781089	−	0.112304i
$285$	−0.657538	−	24.6933i	−0.0389492	−	1.46270i
$286$	4.08351	−	3.53838i	0.241463	−	0.209229i
$287$	−1.95648	+	1.25736i	−0.115488	+	0.0742194i
$288$	0.159656	+	2.99575i	0.00940781	+	0.176526i
$289$	−17.0493	−	19.6760i	−1.00290	−	1.15741i
$290$	−26.7227	+	7.84648i	−1.56921	+	0.460761i
$291$	29.4700	+	12.5215i	1.72756	+	0.734024i
$292$	−5.78604	+	6.67745i	−0.338603	+	0.390768i
$293$	−11.0984	+	24.3022i	−0.648378	+	1.41975i	0.244589	+	0.969627i	$0.421347\pi$
$293$	−11.0984	+	24.3022i	−0.648378	+	1.41975i	−0.892967	+	0.450123i	$0.851380\pi$
$294$	0.897300	−	1.48150i	0.0523316	−	0.0864031i
$295$	23.3657	−	10.6708i	1.36040	−	0.621276i
$296$	1.13572	+	7.89910i	0.0660124	+	0.459126i
$297$	−2.59589	−	11.4649i	−0.150629	−	0.665264i
$298$			11.2872i			0.653851i
$299$	5.76534	−	9.89770i	0.333418	−	0.572399i
$300$	4.31648	+	1.14355i	0.249212	+	0.0660229i
$301$	−9.06189	−	5.82372i	−0.522319	−	0.335674i
$302$	−20.3138	+	2.92069i	−1.16893	+	0.168067i
$303$	19.6885	−	3.36794i	1.13107	−	0.193483i
$304$	1.45958	−	4.97089i	0.0837129	−	0.285100i
$305$	33.7902	+	15.4315i	1.93482	+	0.883603i
$306$	6.54167	+	18.5613i	0.373962	+	1.06108i
$307$	3.94700	−	27.4520i	0.225267	−	1.56677i	−0.492393	−	0.870373i	$-0.663878\pi$
$307$	3.94700	−	27.4520i	0.225267	−	1.56677i	0.717660	−	0.696394i	$-0.245213\pi$
$308$	−0.637358	−	2.17064i	−0.0363168	−	0.123684i
$309$	30.0039	−	14.6798i	1.70686	−	0.835105i
$310$	−0.872088	−	1.35699i	−0.0495312	−	0.0770721i
$311$	9.09007	+	14.1444i	0.515450	+	0.802056i	0.997241	−	0.0742299i	$-0.0236498\pi$
$311$	9.09007	+	14.1444i	0.515450	+	0.802056i	−0.481791	+	0.876286i	$0.660013\pi$
$312$	3.71593	−	1.81807i	0.210373	−	0.102928i
$313$	8.73562	+	29.7508i	0.493766	+	1.68161i	0.709128	+	0.705080i	$0.249089\pi$
$313$	8.73562	+	29.7508i	0.493766	+	1.68161i	−0.215361	+	0.976534i	$0.569093\pi$
$314$	−2.57820	+	17.9318i	−0.145496	+	1.01195i
$315$	−2.74509	−	7.78892i	−0.154669	−	0.438856i
$316$	−1.62037	−	0.740000i	−0.0911532	−	0.0416283i
$317$	−1.90969	+	6.50381i	−0.107259	+	0.365291i	−0.995578	−	0.0939359i	$-0.970055\pi$
$317$	−1.90969	+	6.50381i	−0.107259	+	0.365291i	0.888319	+	0.459226i	$0.151873\pi$
$318$	15.7454	−	2.69343i	0.882957	−	0.151040i
$319$	22.6549	−	3.25728i	1.26843	−	0.182372i
$320$	2.31583	+	1.48829i	0.129459	+	0.0831982i
$321$	−8.93550	−	2.36725i	−0.498731	−	0.132127i
$322$	−2.76680	−	3.91725i	−0.154188	−	0.218300i
$323$		−	33.9863i		−	1.89105i
$324$	0.326737	−	8.99407i	0.0181521	−	0.499670i
$325$	−0.876310	−	6.09487i	−0.0486089	−	0.338083i
$326$	−5.36308	+	2.44924i	−0.297033	+	0.135651i
$327$	−14.5258	+	23.9831i	−0.803278	+	1.32627i
$328$	−0.966121	+	2.11551i	−0.0533451	+	0.116810i
$329$	1.47998	−	1.70799i	0.0815940	−	0.0941645i
$330$	−9.92769	−	4.21817i	−0.546501	−	0.232203i
$331$	−7.32382	+	2.15047i	−0.402553	+	0.118200i	−0.476741	−	0.879044i	$-0.658182\pi$
$331$	−7.32382	+	2.15047i	−0.402553	+	0.118200i	0.0741873	+	0.997244i	$0.476364\pi$
$332$	4.22039	+	4.87059i	0.231624	+	0.267308i
$333$	−1.27411	−	23.9071i	−0.0698206	−	1.31010i
$334$	−2.92941	+	1.88262i	−0.160290	+	0.103012i
$335$	−22.8365	+	19.7880i	−1.24769	+	1.08113i
$336$	−0.0461050	−	1.73144i	−0.00251524	−	0.0944576i
$337$	−24.2330	−	3.48418i	−1.32006	−	0.189796i	−0.553972	−	0.832535i	$-0.686889\pi$
$337$	−24.2330	−	3.48418i	−1.32006	−	0.189796i	−0.766085	+	0.642740i	$0.777798\pi$
$338$	5.51357	+	4.77753i	0.299898	+	0.259863i
$339$	8.53955	−	10.4022i	0.463805	−	0.564972i
$340$	17.3274	+	5.08778i	0.939709	+	0.275923i
$341$	0.550681	+	1.20582i	0.0298210	+	0.0652990i
$342$	−5.69494	+	14.4613i	−0.307947	+	0.781977i
$343$	−0.540641	+	0.841254i	−0.0291919	+	0.0454234i
$344$	−10.7719			−0.580781
$345$	−22.8068	−	1.65471i	−1.22788	−	0.0890866i
$346$	−10.2005			−0.548380
$347$	−5.46681	+	8.50652i	−0.293474	+	0.456654i	−0.956412	−	0.292020i	$-0.905673\pi$
$347$	−5.46681	+	8.50652i	−0.293474	+	0.456654i	0.662938	+	0.748674i	$0.269309\pi$
$348$	17.4053	+	2.03125i	0.933021	+	0.108887i
$349$	−3.51212	−	7.69046i	−0.187999	−	0.411661i	0.792039	−	0.610471i	$-0.209020\pi$
$349$	−3.51212	−	7.69046i	−0.187999	−	0.411661i	−0.980038	+	0.198810i	$0.936292\pi$
$350$	−2.47366	−	0.726333i	−0.132223	−	0.0388241i
$351$	−11.5909	+	4.43533i	−0.618678	+	0.236740i
$352$	−1.70972	−	1.48148i	−0.0911282	−	0.0789631i
$353$	7.80310	+	1.12192i	0.415317	+	0.0597136i	0.346806	−	0.937937i	$-0.387266\pi$
$353$	7.80310	+	1.12192i	0.415317	+	0.0597136i	0.0685108	+	0.997650i	$0.478175\pi$
$354$	−16.1562	+	0.430211i	−0.858694	+	0.0228655i
$355$	27.6669	−	23.9735i	1.46841	−	1.27238i
$356$	5.32552	−	3.42250i	0.282252	−	0.181392i
$357$	−3.49024	−	10.8131i	−0.184723	−	0.572290i
$358$	9.60221	+	11.0815i	0.507492	+	0.585677i
$359$	−26.0142	+	7.63846i	−1.37298	+	0.403143i	−0.883319	−	0.468772i	$-0.844697\pi$
$359$	−26.0142	+	7.63846i	−1.37298	+	0.403143i	−0.489659	+	0.871914i	$0.662879\pi$
$360$	−6.52033	−	5.06835i	−0.343652	−	0.267125i
$361$	5.13420	−	5.92518i	0.270221	−	0.311852i
$362$	0.573987	−	1.25686i	0.0301681	−	0.0660589i
$363$	−8.71434	−	5.27799i	−0.457384	−	0.277023i
$364$	−2.17257	+	0.992182i	−0.113874	+	0.0520045i
$365$	−3.46149	−	24.0752i	−0.181183	−	1.26015i
$366$	−15.7705	−	17.2501i	−0.824337	−	0.901677i
$367$			7.67973i			0.400878i	0.979706	+	0.200439i	$0.0642369\pi$
$367$			7.67973i			0.400878i	−0.979706	+	0.200439i	$0.935763\pi$
$368$	−4.44540	−	1.79955i	−0.231733	−	0.0938081i
$369$	3.45436	−	6.06188i	0.179827	−	0.315569i
$370$	−18.4811	−	11.8771i	−0.960787	−	0.617460i
$371$	−9.12877	+	1.31252i	−0.473942	+	0.0681426i
$372$	0.171128	+	1.00039i	0.00887257	+	0.0518678i
$373$	−4.03984	+	13.7584i	−0.209175	+	0.712384i	0.786341	+	0.617792i	$0.211973\pi$
$373$	−4.03984	+	13.7584i	−0.209175	+	0.712384i	−0.995516	+	0.0945916i	$0.969845\pi$
$374$	−13.4997	−	6.16509i	−0.698051	−	0.318789i
$375$	9.54497	−	6.49957i	0.492900	−	0.335637i
$376$	0.321631	−	2.23699i	0.0165868	−	0.115364i
$377$	−6.80776	−	23.1851i	−0.350617	−	1.19409i
$378$	−0.326799	+	5.18587i	−0.0168087	+	0.266732i
$379$	−20.0150	−	31.1439i	−1.02810	−	1.59976i	−0.774630	−	0.632414i	$-0.782064\pi$
$379$	−20.0150	−	31.1439i	−1.02810	−	1.59976i	−0.253471	−	0.967343i	$-0.581572\pi$
$380$	7.71047	+	11.9977i	0.395539	+	0.615471i
$381$	0.622050	+	1.27140i	0.0318686	+	0.0651360i
$382$	0.306999	+	1.04554i	0.0157074	+	0.0534946i
$383$	1.61033	−	11.2001i	0.0822840	−	0.572298i	−0.906416	−	0.422387i	$-0.861192\pi$
$383$	1.61033	−	11.2001i	0.0822840	−	0.572298i	0.988700	−	0.149911i	$-0.0478986\pi$
$384$	−0.974872	−	1.43165i	−0.0497487	−	0.0730586i
$385$	5.66490	+	2.58707i	0.288710	+	0.131849i
$386$	−0.321815	+	1.09600i	−0.0163799	+	0.0557849i
$387$	32.1862	+	2.89019i	1.63611	+	0.146917i
$388$	−18.2985	+	2.63093i	−0.928966	+	0.133565i
$389$	7.61397	+	4.89320i	0.386044	+	0.248095i	0.719239	−	0.694763i	$-0.244491\pi$
$389$	7.61397	+	4.89320i	0.386044	+	0.248095i	−0.333196	+	0.942858i	$0.608127\pi$
$390$	−2.91639	+	11.0083i	−0.147677	+	0.557427i
$391$	−31.3070	−	3.11108i	−1.58326	−	0.157334i
$392$			1.00000i			0.0505076i
$393$	−3.65759	+	3.34387i	−0.184501	+	0.168676i
$394$	2.29707	+	15.9765i	0.115725	+	0.804882i
$395$	4.46062	−	2.03710i	0.224438	−	0.102498i
$396$	4.71110	+	4.88536i	0.236742	+	0.245498i
$397$	4.06671	−	8.90486i	0.204102	−	0.446922i	−0.779706	−	0.626146i	$-0.784631\pi$
$397$	4.06671	−	8.90486i	0.204102	−	0.446922i	0.983808	+	0.179224i	$0.0573587\pi$
$398$	−5.79305	+	6.68554i	−0.290379	+	0.335116i
$399$	3.50906	−	8.25875i	0.175673	−	0.413455i
$400$	−2.47366	+	0.726333i	−0.123683	+	0.0363166i
$401$	5.92469	+	6.83745i	0.295865	+	0.341446i	0.884146	−	0.467210i	$-0.154741\pi$
$401$	5.92469	+	6.83745i	0.295865	+	0.341446i	−0.588282	+	0.808656i	$0.700195\pi$
$402$	18.0930	−	5.84004i	0.902399	−	0.291275i
$403$	1.17735	−	0.756640i	0.0586482	−	0.0376909i
$404$	−8.71550	+	7.55202i	−0.433612	+	0.375727i
$405$	18.1227	+	16.8936i	0.900525	+	0.839448i
$406$	−10.0142	−	1.43982i	−0.496995	−	0.0714571i
$407$	13.6441	+	11.8227i	0.676314	+	0.586029i
$408$	−8.78218	−	7.20960i	−0.434783	−	0.356928i
$409$	−12.9691	−	3.80807i	−0.641281	−	0.188297i	−0.0551048	−	0.998481i	$-0.517549\pi$
$409$	−12.9691	−	3.80807i	−0.641281	−	0.188297i	−0.586176	+	0.810183i	$0.699367\pi$
$410$	−2.65957	−	5.82365i	−0.131347	−	0.287609i
$411$	−2.26974	+	19.4488i	−0.111958	+	0.959339i
$412$	−10.4263	+	16.2236i	−0.513665	+	0.799278i
$413$	9.33111			0.459154
$414$	12.7999	+	6.56976i	0.629082	+	0.322886i
$415$	−17.7412			−0.870882
$416$	−1.29127	+	2.00926i	−0.0633098	+	0.0985120i
$417$	1.73213	−	14.8422i	0.0848228	−	0.726824i
$418$	−4.86879	−	10.6612i	−0.238140	−	0.521454i
$419$	19.8286	+	5.82220i	0.968690	+	0.284433i	0.727548	−	0.686057i	$-0.240660\pi$
$419$	19.8286	+	5.82220i	0.968690	+	0.284433i	0.241142	+	0.970490i	$0.422478\pi$
$420$	3.68529	+	3.02538i	0.179824	+	0.147623i
$421$	−11.3029	−	9.79405i	−0.550871	−	0.477333i	0.334385	−	0.942437i	$-0.391471\pi$
$421$	−11.3029	−	9.79405i	−0.550871	−	0.477333i	−0.885256	+	0.465104i	$0.846017\pi$
$422$	6.67346	+	0.959499i	0.324859	+	0.0467077i
$423$	−1.56123	+	6.59778i	−0.0759096	+	0.320795i
$424$	−6.97001	+	6.03955i	−0.338493	+	0.293306i
$425$	−14.2278	+	9.14362i	−0.690148	+	0.443531i
$426$	−21.9201	+	7.07533i	−1.06203	+	0.342801i
$427$	8.83677	+	10.1982i	0.427641	+	0.493525i
$428$	5.12070	−	1.50357i	0.247519	−	0.0726780i
$429$	3.65977	−	8.61345i	0.176695	−	0.415862i
$430$	19.4187	−	22.4104i	0.936454	−	1.08073i
$431$	6.70458	−	14.6810i	0.322948	−	0.707158i	−0.676626	−	0.736327i	$-0.736559\pi$
$431$	6.70458	−	14.6810i	0.322948	−	0.707158i	0.999575	+	0.0291687i	$0.00928599\pi$
$432$	2.52877	+	4.53931i	0.121666	+	0.218398i
$433$	−28.5601	+	13.0430i	−1.37251	+	0.626804i	−0.958925	−	0.283661i	$-0.908451\pi$
$433$	−28.5601	+	13.0430i	−1.37251	+	0.626804i	−0.413585	+	0.910465i	$0.635724\pi$
$434$	−0.0833914	−	0.580000i	−0.00400292	−	0.0278409i
$435$	−35.6028	+	32.5491i	−1.70703	+	1.56061i
$436$		−	16.1883i		−	0.775281i
$437$	−17.0764	−	18.0477i	−0.816873	−	0.863340i
$438$	−3.91913	+	14.7933i	−0.187263	+	0.706849i
$439$	−17.2156	−	11.0638i	−0.821658	−	0.528047i	0.0609593	−	0.998140i	$-0.480584\pi$
$439$	−17.2156	−	11.0638i	−0.821658	−	0.528047i	−0.882617	+	0.470093i	$0.844220\pi$
$440$	6.16429	−	0.886291i	0.293871	−	0.0422523i
$441$	0.268309	−	2.98798i	0.0127766	−	0.142285i
$442$	−4.41425	+	15.0336i	−0.209965	+	0.715074i
$443$	2.32700	+	1.06271i	0.110559	+	0.0504907i	0.469927	−	0.882705i	$-0.344280\pi$
$443$	2.32700	+	1.06271i	0.110559	+	0.0504907i	−0.359368	+	0.933196i	$0.617008\pi$
$444$	7.77980	+	11.4251i	0.369213	+	0.542209i
$445$	−2.48008	+	17.2493i	−0.117567	+	0.817696i
$446$	−2.31878	−	7.89703i	−0.109797	−	0.373935i
$447$	8.59187	+	17.5609i	0.406382	+	0.830600i
$448$	0.540641	+	0.841254i	0.0255429	+	0.0397455i
$449$	1.15343	+	1.79477i	0.0544338	+	0.0847006i	0.867404	−	0.497605i	$-0.165787\pi$
$449$	1.15343	+	1.79477i	0.0544338	+	0.0847006i	−0.812970	+	0.582306i	$0.802151\pi$
$450$	7.58613	−	1.50656i	0.357613	−	0.0710200i
$451$	1.48229	+	5.04821i	0.0697983	+	0.237711i
$452$	−1.10582	+	7.69116i	−0.0520135	+	0.361762i
$453$	−29.3814	+	20.0070i	−1.38046	+	0.940012i
$454$	12.0547	+	5.50522i	0.565757	+	0.258373i
$455$	1.85236	−	6.30857i	0.0868401	−	0.295750i
$456$	−1.51301	−	8.84484i	−0.0708532	−	0.414198i
$457$	16.0194	−	2.30324i	0.749354	−	0.107741i	0.242952	−	0.970038i	$-0.421884\pi$
$457$	16.0194	−	2.30324i	0.749354	−	0.107741i	0.506402	+	0.862297i	$0.330975\pi$
$458$	8.05884	+	5.17910i	0.376565	+	0.242004i
$459$	24.3066	+	23.8985i	1.13453	+	1.11548i
$460$	11.7577	−	6.00436i	0.548206	−	0.279955i
$461$			2.63801i			0.122864i	0.998111	+	0.0614322i	$0.0195668\pi$
$461$			2.63801i			0.122864i	−0.998111	+	0.0614322i	$0.980433\pi$
$462$	−2.64391	−	2.89196i	−0.123006	−	0.134546i
$463$	−5.19497	−	36.1318i	−0.241431	−	1.67919i	−0.644957	−	0.764219i	$-0.723125\pi$
$463$	−5.19497	−	36.1318i	−0.241431	−	1.67919i	0.403526	−	0.914968i	$-0.367784\pi$
$464$	−9.20288	+	4.20281i	−0.427233	+	0.195111i
$465$	−2.38976	−	1.44740i	−0.110822	−	0.0671216i
$466$	−4.89619	+	10.7212i	−0.226812	+	0.496648i
$467$	−5.56867	+	6.42659i	−0.257687	+	0.297387i	−0.869821	−	0.493367i	$-0.835766\pi$
$467$	−5.56867	+	6.42659i	−0.257687	+	0.297387i	0.612134	+	0.790754i	$0.290311\pi$
$468$	4.39739	−	5.65716i	0.203270	−	0.261502i
$469$	−10.5321	+	3.09249i	−0.486326	+	0.142798i
$470$	4.07414	+	4.70181i	0.187926	+	0.216878i
$471$	9.63852	+	29.8611i	0.444120	+	1.37593i
$472$	7.84983	−	5.04478i	0.361318	−	0.232205i
$473$	−18.4169	+	15.9583i	−0.846809	+	0.733764i
$474$	−3.08430	+	0.0821293i	−0.141667	+	0.00377232i
$475$	−13.2205	−	1.90082i	−0.606598	−	0.0872156i
$476$	4.95780	+	4.29596i	0.227240	+	0.196905i
$477$	22.4467	−	16.1759i	1.02776	−	0.740644i
$478$	−8.17224	−	2.39959i	−0.373789	−	0.109754i
$479$	−6.40550	−	14.0261i	−0.292675	−	0.640869i	0.704986	−	0.709221i	$-0.250953\pi$
$479$	−6.40550	−	14.0261i	−0.292675	−	0.640869i	−0.997661	+	0.0683523i	$0.978226\pi$
$480$	4.73591	+	0.552696i	0.216164	+	0.0252270i
$481$	10.3048	−	16.0346i	0.469858	−	0.731113i
$482$	−8.36651			−0.381084
$483$	−7.28646	−	3.98842i	−0.331545	−	0.181480i
$484$	5.88209			0.267368
$485$	27.5136	−	42.8120i	1.24933	−	1.94399i
$486$	−6.33797	−	14.2418i	−0.287496	−	0.646023i
$487$	15.2811	+	33.4609i	0.692451	+	1.51626i	0.848890	+	0.528569i	$0.177271\pi$
$487$	15.2811	+	33.4609i	0.692451	+	1.51626i	−0.156439	+	0.987688i	$0.550001\pi$
$488$	12.9475	+	3.80173i	0.586107	+	0.172096i
$489$	−6.47960	+	7.89296i	−0.293018	+	0.356932i
$490$	−2.08045	−	1.80272i	−0.0939853	−	0.0814387i
$491$	34.4578	+	4.95428i	1.55506	+	0.223583i	0.865597	−	0.500741i	$-0.166939\pi$
$491$	34.4578	+	4.95428i	1.55506	+	0.223583i	0.689460	+	0.724324i	$0.257848\pi$
$492$	0.107225	+	4.02676i	0.00483409	+	0.181541i
$493$	−50.1588	+	43.4628i	−2.25904	+	1.95747i
$494$	−10.4095	+	6.68976i	−0.468344	+	0.300986i
$495$	−18.6566	+	0.994286i	−0.838550	+	0.0446898i
$496$	−0.383725	−	0.442842i	−0.0172298	−	0.0198842i
$497$	12.7598	−	3.74662i	0.572356	−	0.168059i
$498$	10.2737	+	4.36517i	0.460374	+	0.195608i
$499$	9.46845	−	10.9272i	0.423866	−	0.489167i	−0.503145	−	0.864202i	$-0.667824\pi$
$499$	9.46845	−	10.9272i	0.423866	−	0.489167i	0.927011	+	0.375035i	$0.122369\pi$
$500$	−2.76962	+	6.06461i	−0.123861	+	0.271218i
$501$	−3.12457	+	5.15889i	−0.139596	+	0.230482i
$502$	16.5937	−	7.57811i	0.740615	−	0.338228i
$503$	−1.58440	−	11.0198i	−0.0706450	−	0.491347i	−0.994171	−	0.107812i	$-0.965616\pi$
$503$	−1.58440	−	11.0198i	−0.0706450	−	0.491347i	0.923526	−	0.383535i	$-0.125293\pi$
$504$	−1.38971	−	2.65871i	−0.0619025	−	0.118428i
$505$		−	31.7464i		−	1.41270i
$506$	−10.2664	+	3.50904i	−0.456396	+	0.155996i
$507$	12.2148	+	3.23602i	0.542477	+	0.143717i
$508$	−0.687467	−	0.441808i	−0.0305014	−	0.0196021i
$509$	22.1049	−	3.17820i	0.979781	−	0.140871i	0.366228	−	0.930525i	$-0.380649\pi$
$509$	22.1049	−	3.17820i	0.979781	−	0.140871i	0.613553	+	0.789654i	$0.289740\pi$
$510$	30.8311	−	5.27401i	1.36522	−	0.233537i
$511$	2.48926	−	8.47763i	0.110118	−	0.375028i
$512$	0.909632	+	0.415415i	0.0402004	+	0.0183589i
$513$	2.14770	+	26.8341i	0.0948231	+	1.18476i
$514$	−1.93527	+	13.4601i	−0.0853609	+	0.593698i
$515$	−14.9567	−	50.9379i	−0.659072	−	2.24459i
$516$	−16.7591	+	8.19960i	−0.737778	+	0.360967i
$517$	−2.76416	−	4.30111i	−0.121567	−	0.189163i
$518$	−4.31449	−	6.71348i	−0.189568	−	0.294974i
$519$	−15.8700	+	7.76462i	−0.696618	+	0.340829i
$520$	−1.85236	−	6.30857i	−0.0812315	−	0.276649i
$521$	2.97179	−	20.6692i	0.130196	−	0.905535i	−0.815099	−	0.579321i	$-0.803318\pi$
$521$	2.97179	−	20.6692i	0.130196	−	0.905535i	0.945296	−	0.326214i	$-0.105773\pi$
$522$	28.6257	−	10.0887i	1.25291	−	0.441571i
$523$	−0.204103	−	0.0932109i	−0.00892482	−	0.00407583i	0.410948	−	0.911659i	$-0.365198\pi$
$523$	−0.204103	−	0.0932109i	−0.00892482	−	0.00407583i	−0.419872	+	0.907583i	$0.637925\pi$
$524$	0.806093	−	2.74530i	0.0352143	−	0.119929i
$525$	−4.40145	+	0.752919i	−0.192095	+	0.0328601i
$526$	−16.7510	+	2.40843i	−0.730378	+	0.105013i
$527$	−3.23377	−	2.07822i	−0.140865	−	0.0905286i
$528$	−3.78772	−	1.00347i	−0.164839	−	0.0436703i
$529$	−18.1881	+	14.0781i	−0.790788	+	0.612090i
$530$		−	25.3884i		−	1.10280i
$531$	−24.8087	+	12.9675i	−1.07660	+	0.562742i
$532$	0.737297	+	5.12801i	0.0319659	+	0.222328i
$533$	5.05271	−	2.30749i	0.218857	−	0.0999487i
$534$	5.68031	−	9.37859i	0.245811	−	0.405851i
$535$	−6.10309	+	13.3639i	−0.263860	+	0.577772i
$536$	−7.18821	+	8.29564i	−0.310483	+	0.358317i
$537$	23.3746	+	9.93162i	1.00869	+	0.428581i
$538$	−12.3758	+	3.63386i	−0.533558	+	0.156667i
$539$	1.48148	+	1.70972i	0.0638118	+	0.0736427i
$540$	−14.0025	−	2.92213i	−0.602571	−	0.125748i
$541$	13.2647	−	8.52472i	0.570295	−	0.366507i	−0.223488	−	0.974707i	$-0.571745\pi$
$541$	13.2647	−	8.52472i	0.570295	−	0.366507i	0.793784	+	0.608200i	$0.208108\pi$
$542$	−1.95221	+	1.69160i	−0.0838546	+	0.0726604i
$543$	−0.0637042	−	2.39236i	−0.00273381	−	0.102666i
$544$	6.49334	+	0.933601i	0.278399	+	0.0400278i
$545$	33.6791	+	29.1831i	1.44265	+	1.25007i
$546$	−2.62488	+	3.19743i	−0.112334	+	0.136837i
$547$	32.1605	+	9.44318i	1.37508	+	0.403761i	0.884056	−	0.467382i	$-0.154803\pi$
$547$	32.1605	+	9.44318i	1.37508	+	0.403761i	0.491029	+	0.871143i	$0.336621\pi$
$548$	−4.69626	−	10.2834i	−0.200614	−	0.439284i
$549$	−37.6669	−	14.8334i	−1.60758	−	0.633075i
$550$	−3.15322	+	4.90650i	−0.134454	+	0.209214i
$551$	−52.4144			−2.23293
$552$	−8.28606	+	0.584082i	−0.352678	+	0.0248602i
$553$	1.78135			0.0757508
$554$	−0.722337	+	1.12398i	−0.0306892	+	0.0477533i
$555$	−37.7941	−	4.41070i	−1.60427	−	0.187224i
$556$	3.58390	+	7.84765i	0.151991	+	0.332815i
$557$	−5.71486	−	1.67803i	−0.242146	−	0.0711006i	0.158407	−	0.987374i	$-0.449364\pi$
$557$	−5.71486	−	1.67803i	−0.242146	−	0.0711006i	−0.400554	+	0.916273i	$0.631182\pi$
$558$	1.02774	+	1.42616i	0.0435079	+	0.0603742i
$559$	19.4437	+	16.8481i	0.822381	+	0.712597i
$560$	−2.72481	−	0.391769i	−0.115144	−	0.0165553i
$561$	−25.6959	+	0.684236i	−1.08488	+	0.0288885i
$562$	−5.94330	+	5.14990i	−0.250703	+	0.217235i
$563$	−13.2873	+	8.53920i	−0.559991	+	0.359884i	−0.789812	−	0.613348i	$-0.789822\pi$
$563$	−13.2873	+	8.53920i	−0.559991	+	0.359884i	0.229821	+	0.973233i	$0.426186\pi$
$564$	−1.20241	−	3.72518i	−0.0506305	−	0.156858i
$565$	−14.0076	−	16.1656i	−0.589304	−	0.680093i
$566$	15.8536	−	4.65504i	0.666377	−	0.195666i
$567$	3.43906	+	8.31702i	0.144427	+	0.349282i
$568$	8.70867	−	10.0503i	0.365408	−	0.421703i
$569$	−13.7810	+	30.1761i	−0.577729	+	1.26505i	0.364850	+	0.931066i	$0.381120\pi$
$569$	−13.7810	+	30.1761i	−0.577729	+	1.26505i	−0.942579	+	0.333983i	$0.891607\pi$
$570$	21.1288	+	12.7970i	0.884989	+	0.536009i
$571$	−24.3611	+	11.1254i	−1.01948	+	0.465582i	−0.853802	−	0.520598i	$-0.825709\pi$
$571$	−24.3611	+	11.1254i	−1.01948	+	0.465582i	−0.165680	+	0.986180i	$0.552982\pi$
$572$	0.768963	+	5.34826i	0.0321520	+	0.223622i
$573$	1.27350	+	1.39298i	0.0532014	+	0.0581928i
$574$		−	2.32568i		−	0.0970719i
$575$	−2.96117	+	12.0043i	−0.123489	+	0.500612i
$576$	−2.60650	−	1.48531i	−0.108604	−	0.0618880i
$577$	3.45789	+	2.22225i	0.143954	+	0.0925135i	0.610635	−	0.791912i	$-0.290914\pi$
$577$	3.45789	+	2.22225i	0.143954	+	0.0925135i	−0.466681	+	0.884425i	$0.654551\pi$
$578$	25.7700	−	3.70517i	1.07189	−	0.154115i
$579$	0.333594	+	1.95014i	0.0138637	+	0.0810452i
$580$	7.84648	−	26.7227i	0.325807	−	1.10960i
$581$	−5.86232	−	2.67723i	−0.243210	−	0.111070i
$582$	−26.4665	+	18.0221i	−1.09707	+	0.747041i
$583$	−2.96929	+	20.6518i	−0.122975	+	0.855312i
$584$	−2.48926	−	8.47763i	−0.103006	−	0.350807i
$585$	3.84218	+	19.3469i	0.158854	+	0.799894i
$586$	−14.4440	−	22.4754i	−0.596678	−	0.928449i
$587$	2.84154	+	4.42153i	0.117283	+	0.182496i	0.894932	−	0.446203i	$-0.147224\pi$
$587$	2.84154	+	4.42153i	0.117283	+	0.182496i	−0.777649	+	0.628699i	$0.783588\pi$
$588$	0.761204	+	1.55582i	0.0313915	+	0.0641608i
$589$	−0.855265	−	2.91276i	−0.0352406	−	0.120018i
$590$	−3.65564	+	25.4255i	−0.150500	+	1.04675i
$591$	15.7352	+	23.1079i	0.647258	+	0.950533i
$592$	−7.25917	−	3.31515i	−0.298350	−	0.136252i
$593$	2.44538	−	8.32819i	0.100420	−	0.341998i	−0.893923	−	0.448221i	$-0.852058\pi$
$593$	2.44538	−	8.32819i	0.100420	−	0.341998i	0.994342	+	0.106223i	$0.0338759\pi$
$594$	11.0484	+	4.01462i	0.453320	+	0.164722i
$595$	−17.8751	+	2.57005i	−0.732807	+	0.105362i
$596$	−9.49541	−	6.10233i	−0.388947	−	0.249961i
$597$	−3.92388	+	14.8112i	−0.160594	+	0.606181i
$598$	5.20950	+	10.2012i	0.213032	+	0.417159i
$599$		−	33.4011i		−	1.36473i	−0.731010	−	0.682367i	$-0.760951\pi$
$599$		−	33.4011i		−	1.36473i	0.731010	−	0.682367i	$-0.239049\pi$
$600$	−3.29568	+	3.01300i	−0.134546	+	0.123005i
$601$	1.52730	+	10.6226i	0.0623000	+	0.433306i	0.996970	+	0.0777891i	$0.0247861\pi$
$601$	1.52730	+	10.6226i	0.0623000	+	0.433306i	−0.934670	+	0.355517i	$0.884305\pi$
$602$	9.79845	−	4.47480i	0.399355	−	0.182379i
$603$	23.7040	−	22.8585i	0.965302	−	0.930871i
$604$	8.52545	−	18.6681i	0.346896	−	0.759596i
$605$	−10.6038	+	12.2374i	−0.431105	+	0.497521i
$606$	−7.81110	+	18.3838i	−0.317304	+	0.746792i
$607$	8.07054	−	2.36972i	0.327573	−	0.0961841i	−0.113811	−	0.993502i	$-0.536306\pi$
$607$	8.07054	−	2.36972i	0.327573	−	0.0961841i	0.441384	+	0.897318i	$0.354488\pi$
$608$	3.39267	+	3.91535i	0.137591	+	0.158788i
$609$	−16.6762	+	5.38272i	−0.675754	+	0.218119i
$610$	−31.2501	+	20.0832i	−1.26528	+	0.813146i
$611$	−4.07938	+	3.53480i	−0.165034	+	0.143003i
$612$	−19.1515	−	4.53180i	−0.774152	−	0.183187i
$613$	28.1735	+	4.05073i	1.13792	+	0.163608i	0.685412	−	0.728155i	$-0.259622\pi$
$613$	28.1735	+	4.05073i	1.13792	+	0.163608i	0.452503	+	0.891763i	$0.350531\pi$
$614$	20.9602	+	18.1621i	0.845883	+	0.732962i
$615$	−8.57079	−	7.03606i	−0.345608	−	0.283721i
$616$	2.17064	+	0.637358i	0.0874577	+	0.0256799i
$617$	9.45328	+	20.6998i	0.380575	+	0.833343i	0.998876	+	0.0474013i	$0.0150940\pi$
$617$	9.45328	+	20.6998i	0.380575	+	0.833343i	−0.618301	+	0.785941i	$0.712179\pi$
$618$	−3.87192	+	33.1774i	−0.155751	+	1.33459i
$619$	0.727423	−	1.13189i	0.0292376	−	0.0454946i	−0.826327	−	0.563190i	$-0.809574\pi$
$619$	0.727423	−	1.13189i	0.0292376	−	0.0454946i	0.855565	+	0.517696i	$0.173210\pi$
$620$	1.61306			0.0647822
$621$	24.9153	+	0.477999i	0.999816	+	0.0191814i
$622$	−16.8135			−0.674160
$623$	−3.42250	+	5.32552i	−0.137120	+	0.213362i
$624$	−0.479529	+	4.10896i	−0.0191965	+	0.164490i
$625$	−12.9792	−	28.4205i	−0.519167	−	1.13682i
$626$	−29.7508	−	8.73562i	−1.18908	−	0.349146i
$627$	−15.6903	−	12.8807i	−0.626609	−	0.514405i
$628$	−13.6913	−	11.8636i	−0.546342	−	0.473408i
$629$	−51.8190	−	7.45045i	−2.06616	−	0.297069i
$630$	8.03657	+	1.90169i	0.320185	+	0.0757651i
$631$	−4.17296	+	3.61589i	−0.166123	+	0.143946i	−0.733955	−	0.679198i	$-0.762328\pi$
$631$	−4.17296	+	3.61589i	−0.166123	+	0.143946i	0.567832	+	0.823144i	$0.307782\pi$
$632$	1.49857	−	0.963072i	0.0596099	−	0.0383089i
$633$	11.1131	−	3.58706i	0.441705	−	0.142573i
$634$	−4.43890	−	5.12276i	−0.176291	−	0.203451i
$635$	2.15847	−	0.633785i	0.0856564	−	0.0251510i
$636$	−6.24674	+	14.7020i	−0.247699	+	0.582973i
$637$	1.56408	−	1.80504i	0.0619710	−	0.0715183i
$638$	−9.50794	+	20.8195i	−0.376423	+	0.824252i
$639$	−28.7179	+	27.6936i	−1.13606	+	1.09554i
$640$	−2.50407	+	1.14357i	−0.0989819	+	0.0452035i
$641$	0.385914	+	2.68409i	0.0152427	+	0.106015i	0.996022	−	0.0891030i	$-0.0284000\pi$
$641$	0.385914	+	2.68409i	0.0152427	+	0.106015i	−0.980780	+	0.195118i	$0.937491\pi$
$642$	6.82236	−	6.23719i	0.269257	−	0.246162i
$643$		−	18.4069i		−	0.725899i	−0.931809	−	0.362949i	$-0.881770\pi$
$643$		−	18.4069i		−	0.725899i	0.931809	−	0.362949i	$-0.118230\pi$
$644$	4.79124	−	0.209757i	0.188801	−	0.00826559i
$645$	13.1531	−	49.6481i	0.517904	−	1.95489i
$646$	28.5911	+	18.3744i	1.12490	+	0.722930i
$647$	−17.9863	+	2.58604i	−0.707115	+	0.101668i	−0.486484	−	0.873690i	$-0.661721\pi$
$647$	−17.9863	+	2.58604i	−0.707115	+	0.101668i	−0.220631	+	0.975357i	$0.570812\pi$
$648$	7.38964	+	5.13743i	0.290293	+	0.201817i
$649$	5.94726	−	20.2545i	0.233450	−	0.795059i
$650$	5.60110	+	2.55794i	0.219693	+	0.100331i
$651$	−0.571240	−	0.838897i	−0.0223887	−	0.0328790i
$652$	0.839071	−	5.83586i	0.0328605	−	0.228550i
$653$	−7.12198	−	24.2552i	−0.278705	−	0.949181i	−0.973253	−	0.229735i	$-0.926214\pi$
$653$	−7.12198	−	24.2552i	−0.278705	−	0.949181i	0.694549	−	0.719446i	$-0.255604\pi$
$654$	−12.3226	−	25.1861i	−0.481853	−	0.984855i
$655$	4.25831	+	6.62605i	0.166386	+	0.258901i
$656$	−1.25736	−	1.95648i	−0.0490915	−	0.0763879i
$657$	5.16322	+	25.9989i	0.201437	+	1.01431i
$658$	0.636714	+	2.16845i	0.0248217	+	0.0845349i
$659$	−3.57433	+	24.8600i	−0.139236	+	0.968408i	0.793685	+	0.608329i	$0.208160\pi$
$659$	−3.57433	+	24.8600i	−0.139236	+	0.968408i	−0.932921	+	0.360080i	$0.882749\pi$
$660$	8.91587	−	6.07119i	0.347050	−	0.236321i
$661$	−22.6475	−	10.3428i	−0.880887	−	0.402288i	−0.0769730	−	0.997033i	$-0.524526\pi$
$661$	−22.6475	−	10.3428i	−0.880887	−	0.402288i	−0.803914	+	0.594746i	$0.797253\pi$
$662$	2.15047	−	7.32382i	0.0835803	−	0.284648i
$663$	4.57583	+	26.7496i	0.177710	+	1.03887i
$664$	−6.37911	+	0.917178i	−0.247558	+	0.0355934i
$665$	−11.9977	−	7.71047i	−0.465252	−	0.298999i
$666$	20.8007	+	11.8533i	0.806012	+	0.459306i
$667$	−4.79798	+	48.2823i	−0.185779	+	1.86950i
$668$		−	3.48220i		−	0.134730i
$669$	−9.61885	−	10.5213i	−0.371886	−	0.406776i
$670$	−4.30033	−	29.9095i	−0.166136	−	1.15550i
$671$	27.7688	−	12.6816i	1.07200	−	0.489567i
$672$	1.48150	+	0.897300i	0.0571503	+	0.0346141i
$673$	6.15661	−	13.4811i	0.237320	−	0.519658i	−0.753073	−	0.657937i	$-0.771430\pi$
$673$	6.15661	−	13.4811i	0.237320	−	0.519658i	0.990393	+	0.138278i	$0.0441568\pi$
$674$	16.0324	−	18.5024i	0.617547	−	0.712687i
$675$	10.6558	−	8.11852i	0.410143	−	0.312482i
$676$	−6.99997	+	2.05538i	−0.269230	+	0.0790530i
$677$	3.14470	+	3.62918i	0.120861	+	0.139481i	0.812955	−	0.582326i	$-0.197857\pi$
$677$	3.14470	+	3.62918i	0.120861	+	0.139481i	−0.692095	+	0.721807i	$0.743312\pi$
$678$	4.13408	+	12.8078i	0.158768	+	0.491881i
$679$	15.5520	−	9.99465i	0.596830	−	0.383559i
$680$	−13.6480	+	11.8261i	−0.523377	+	0.453509i
$681$	22.9456	−	0.610999i	0.879277	−	0.0234135i
$682$	−1.31212	−	0.188655i	−0.0502438	−	0.00722397i
$683$	−8.92697	−	7.73527i	−0.341581	−	0.295982i	0.467129	−	0.884189i	$-0.345288\pi$
$683$	−8.92697	−	7.73527i	−0.341581	−	0.295982i	−0.808710	+	0.588207i	$0.799834\pi$
$684$	−9.08669	−	12.6093i	−0.347438	−	0.482127i
$685$	29.8601	+	8.76772i	1.14090	+	0.334997i
$686$	−0.415415	−	0.909632i	−0.0158606	−	0.0347299i
$687$	16.4804	+	1.92332i	0.628768	+	0.0733793i
$688$	5.82372	−	9.06189i	0.222027	−	0.345481i
$689$	22.0275			0.839179
$690$	13.7223	−	18.2917i	0.522400	−	0.696353i
$691$	−18.5907			−0.707225			−0.353612	−	0.935392i	$-0.615047\pi$
$691$	−18.5907			−0.707225			−0.353612	+	0.935392i	$0.615047\pi$
$692$	5.51478	−	8.58117i	0.209641	−	0.326207i
$693$	−6.31482	−	2.48681i	−0.239880	−	0.0944662i
$694$	−4.20056	−	9.19795i	−0.159451	−	0.349149i
$695$	−22.7875	−	6.69100i	−0.864378	−	0.253804i
$696$	−11.1188	+	13.5441i	−0.421457	+	0.513387i
$697$	−11.5302	−	9.99101i	−0.436739	−	0.378437i
$698$	8.36842	+	1.20320i	0.316749	+	0.0455417i
$699$	0.543406	+	20.4072i	0.0205535	+	0.771870i
$700$	1.94839	−	1.68829i	0.0736423	−	0.0638114i
$701$	21.8510	−	14.0428i	0.825301	−	0.530388i	−0.0584808	−	0.998289i	$-0.518626\pi$
$701$	21.8510	−	14.0428i	0.825301	−	0.530388i	0.883781	+	0.467900i	$0.154989\pi$
$702$	2.53529	−	12.1488i	0.0956885	−	0.458528i
$703$	−27.0746	−	31.2458i	−1.02114	−	1.17846i
$704$	2.17064	−	0.637358i	0.0818092	−	0.0240213i
$705$	9.91766	+	4.21391i	0.373521	+	0.158705i
$706$	−5.16249	+	5.95783i	−0.194293	+	0.224226i
$707$	4.79067	−	10.4901i	0.180172	−	0.394521i
$708$	8.37280	−	13.8241i	0.314669	−	0.519541i
$709$	1.12548	−	0.513988i	0.0422682	−	0.0193032i	−0.394169	−	0.919038i	$-0.628967\pi$
$709$	1.12548	−	0.513988i	0.0422682	−	0.0193032i	0.436437	+	0.899735i	$0.356240\pi$
$710$	5.20994	+	36.2359i	0.195526	+	1.35991i
$711$	−4.73609	+	2.47556i	−0.177617	+	0.0928407i
$712$			6.33045i			0.237244i
$713$	−2.76143	+	0.521208i	−0.103416	+	0.0195194i
$714$	10.9835	+	2.90983i	0.411048	+	0.108898i
$715$	−12.5130	−	8.04163i	−0.467961	−	0.300740i
$716$	−14.5137	+	2.08676i	−0.542403	+	0.0779858i
$717$	−14.5411	+	2.48742i	−0.543047	+	0.0928943i
$718$	7.63846	−	26.0142i	0.285065	−	0.970842i
$719$	45.9420	+	20.9810i	1.71335	+	0.782459i	0.996348	+	0.0853841i	$0.0272117\pi$
$719$	45.9420	+	20.9810i	1.71335	+	0.782459i	0.716998	+	0.697075i	$0.245516\pi$
$720$	7.78892	−	2.74509i	0.290276	−	0.102304i
$721$	2.74454	−	19.0887i	0.102212	−	0.710900i
$722$	2.20882	+	7.52255i	0.0822038	+	0.279960i
$723$	−13.0168	+	6.36862i	−0.484099	+	0.236851i
$724$	0.747014	+	1.16238i	0.0277625	+	0.0431994i
$725$	14.1015	+	21.9424i	0.523717	+	0.814919i
$726$	9.15146	−	4.47747i	0.339642	−	0.166174i
$727$	6.72747	+	22.9117i	0.249508	+	0.849746i	0.985050	+	0.172267i	$0.0551093\pi$
$727$	6.72747	+	22.9117i	0.249508	+	0.849746i	−0.735542	+	0.677479i	$0.763073\pi$
$728$	0.339906	−	2.36410i	0.0125978	−	0.0876194i
$729$	−20.7017	−	17.3332i	−0.766729	−	0.641971i
$730$	22.1248	+	10.1040i	0.818874	+	0.373967i
$731$	19.9086	−	67.8023i	0.736345	−	2.50776i
$732$	23.0379	−	3.94089i	0.851504	−	0.145660i
$733$	33.5576	−	4.82485i	1.23948	−	0.178210i	0.508772	−	0.860902i	$-0.330100\pi$
$733$	33.5576	−	4.82485i	1.23948	−	0.178210i	0.730707	+	0.682692i	$0.239191\pi$
$734$	−6.46060	−	4.15197i	−0.238465	−	0.153252i
$735$	−4.60904	−	1.22106i	−0.170007	−	0.0450395i
$736$	3.91725	−	2.76680i	0.144392	−	0.101986i
$737$			24.8324i			0.914713i
$738$	3.23201	+	6.18329i	0.118972	+	0.227610i
$739$	−3.52383	−	24.5088i	−0.129626	−	0.901569i	−0.946028	−	0.324085i	$-0.894944\pi$
$739$	−3.52383	−	24.5088i	−0.129626	−	0.901569i	0.816402	−	0.577484i	$-0.195965\pi$
$740$	19.9833	−	9.12606i	0.734600	−	0.335481i
$741$	−11.1030	+	18.3318i	−0.407877	+	0.673434i
$742$	3.83122	−	8.38921i	0.140649	−	0.307978i
$743$	−24.2259	+	27.9582i	−0.888763	+	1.02569i	0.110730	+	0.993851i	$0.464681\pi$
$743$	−24.2259	+	27.9582i	−0.888763	+	1.02569i	−0.999493	+	0.0318370i	$0.989864\pi$
$744$	−0.934100	−	0.396889i	−0.0342458	−	0.0145507i
$745$	29.8132	−	8.75395i	1.09227	−	0.320720i
$746$	−9.39022	−	10.8369i	−0.343800	−	0.396767i
$747$	19.3067	−	1.02894i	0.706397	−	0.0376468i
$748$	12.4849	−	8.02355i	0.456492	−	0.293370i
$749$	−4.03335	+	3.49492i	−0.147375	+	0.127701i
$750$	0.307387	+	11.5437i	0.0112242	+	0.421516i
$751$	−10.3779	−	1.49212i	−0.378696	−	0.0544482i	−0.0496613	−	0.998766i	$-0.515814\pi$
$751$	−10.3779	−	1.49212i	−0.378696	−	0.0544482i	−0.329035	+	0.944318i	$0.606723\pi$
$752$	1.70799	+	1.47998i	0.0622840	+	0.0539694i
$753$	20.0484	−	24.4214i	0.730603	−	0.889964i
$754$	23.1851	+	6.80776i	0.844351	+	0.247924i
$755$	23.4691	+	51.3903i	0.854130	+	1.87028i
$756$	−4.18595	−	3.07861i	−0.152241	−	0.111968i
$757$	25.4512	−	39.6028i	0.925039	−	1.43939i	0.0269199	−	0.999638i	$-0.491430\pi$
$757$	25.4512	−	39.6028i	0.925039	−	1.43939i	0.898119	−	0.439752i	$-0.144934\pi$
$758$	37.0209			1.34466
$759$	−13.3015	+	13.2742i	−0.482815	+	0.481824i
$760$	−14.2617			−0.517327
$761$	−2.76260	+	4.29869i	−0.100144	+	0.155827i	−0.887710	−	0.460403i	$-0.847705\pi$
$761$	−2.76260	+	4.29869i	−0.100144	+	0.155827i	0.787566	+	0.616231i	$0.211341\pi$
$762$	−1.40588	−	0.164071i	−0.0509296	−	0.00594365i
$763$	6.72488	+	14.7254i	0.243457	+	0.533097i
$764$	−1.04554	−	0.306999i	−0.0378264	−	0.0111068i
$765$	43.9529	−	31.6741i	1.58912	−	1.14518i
$766$	8.55150	+	7.40992i	0.308978	+	0.267731i
$767$	−22.0597	−	3.17170i	−0.796529	−	0.114524i
$768$	1.73144	−	0.0461050i	0.0624779	−	0.00166367i
$769$	25.0706	−	21.7238i	0.904069	−	0.783380i	−0.0727714	−	0.997349i	$-0.523184\pi$
$769$	25.0706	−	21.7238i	0.904069	−	0.783380i	0.976841	+	0.213968i	$0.0686389\pi$
$770$	−5.23906	+	3.36694i	−0.188803	+	0.121336i
$771$	7.23493	+	22.4145i	0.260560	+	0.807240i
$772$	−0.748028	−	0.863270i	−0.0269221	−	0.0310698i
$773$	−4.92412	+	1.44585i	−0.177108	+	0.0520037i	−0.369084	−	0.929396i	$-0.620329\pi$
$773$	−4.92412	+	1.44585i	−0.177108	+	0.0520037i	0.191976	+	0.981400i	$0.438510\pi$
$774$	−19.8325	+	25.5142i	−0.712866	+	0.917088i
$775$	−0.989279	+	1.14169i	−0.0355359	+	0.0410107i
$776$	7.67964	−	16.8161i	0.275683	−	0.603662i
$777$	−11.8229	−	7.16075i	−0.424144	−	0.256890i
$778$	−8.23284	+	3.75981i	−0.295162	+	0.134796i
$779$	−1.71472	−	11.9261i	−0.0614360	−	0.427297i
$780$	−7.68404	−	8.40496i	−0.275133	−	0.300946i
$781$		−	30.0849i		−	1.07652i
$782$	19.5430	−	24.6551i	0.698858	−	0.881666i
$783$	36.8567	−	37.4861i	1.31715	−	1.33965i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	49.3632	−	7.09736i	1.76185	−	0.253315i
$786$	−0.835599	−	4.88479i	−0.0298048	−	0.174235i
$787$	0.758827	−	2.58433i	0.0270493	−	0.0921213i	−0.944862	−	0.327468i	$-0.893805\pi$
$787$	0.758827	−	2.58433i	0.0270493	−	0.0921213i	0.971911	+	0.235347i	$0.0756227\pi$
$788$	−14.6821	−	6.70511i	−0.523030	−	0.238860i
$789$	−24.2282	+	16.4980i	−0.862546	+	0.587344i
$790$	−0.697879	+	4.85385i	−0.0248294	+	0.172692i
$791$	−2.18913	−	7.45550i	−0.0778366	−	0.265087i
$792$	−6.65684	+	1.32201i	−0.236540	+	0.0469756i
$793$	−17.4246	−	27.1132i	−0.618765	−	0.962818i
$794$	5.29261	+	8.23546i	0.187828	+	0.292266i
$795$	−19.3257	−	39.4997i	−0.685413	−	1.40091i
$796$	−2.49227	−	8.48790i	−0.0883362	−	0.300846i
$797$	1.93742	−	13.4751i	0.0686271	−	0.477312i	−0.926306	−	0.376772i	$-0.877034\pi$
$797$	1.93742	−	13.4751i	0.0686271	−	0.477312i	0.994933	−	0.100540i	$-0.0320569\pi$
$798$	5.05056	+	7.41702i	0.178788	+	0.262560i
$799$	13.4860	+	6.15886i	0.477101	+	0.217885i
$800$	0.726333	−	2.47366i	0.0256797	−	0.0874571i
$801$	1.69852	−	18.9153i	0.0600141	−	0.668338i
$802$	−8.95516	+	1.28756i	−0.316218	+	0.0454652i
$803$	−16.8154	−	10.8066i	−0.593401	−	0.381356i
$804$	−4.86888	+	18.3782i	−0.171712	+	0.648149i
$805$	−8.20089	+	10.3461i	−0.289043	+	0.364652i
$806$			1.39952i			0.0492961i
$807$	−16.4884	+	15.0741i	−0.580418	+	0.530634i
$808$	−1.64121	−	11.4149i	−0.0577376	−	0.401574i
$809$	−43.8691	+	20.0344i	−1.54236	+	0.704371i	−0.991485	−	0.130220i	$-0.958432\pi$
$809$	−43.8691	+	20.0344i	−1.54236	+	0.704371i	−0.550871	+	0.834590i	$0.685704\pi$
$810$	−24.0097	+	6.11245i	−0.843613	+	0.214769i
$811$	15.1744	−	33.2273i	0.532846	−	1.16677i	−0.431497	−	0.902114i	$-0.642014\pi$
$811$	15.1744	−	33.2273i	0.532846	−	1.16677i	0.964343	−	0.264656i	$-0.0852582\pi$
$812$	6.62532	−	7.64603i	0.232503	−	0.268323i
$813$	−1.74963	+	4.11785i	−0.0613623	+	0.144419i
$814$	−17.3224	+	5.08633i	−0.607151	+	0.178276i
$815$	10.6286	+	12.2661i	0.372305	+	0.429662i
$816$	10.8131	−	3.49024i	0.378535	−	0.122183i
$817$	46.9474	−	30.1712i	1.64248	−	1.05556i
$818$	10.2152	−	8.85151i	0.357166	−	0.309486i
$819$	−1.64994	+	6.97268i	−0.0576536	+	0.243645i
$820$	6.33704	+	0.911128i	0.221299	+	0.0318180i
$821$	15.7323	+	13.6321i	0.549062	+	0.475765i	0.884658	−	0.466241i	$-0.154392\pi$
$821$	15.7323	+	13.6321i	0.549062	+	0.475765i	−0.335596	+	0.942006i	$0.608938\pi$
$822$	−15.1343	−	12.4242i	−0.527868	−	0.433345i
$823$	−17.9162	−	5.26066i	−0.624518	−	0.183375i	−0.0458632	−	0.998948i	$-0.514604\pi$
$823$	−17.9162	−	5.26066i	−0.624518	−	0.183375i	−0.578655	+	0.815573i	$0.696422\pi$
$824$	−8.01128	−	17.5423i	−0.279086	−	0.611113i
$825$	−1.17098	+	10.0339i	−0.0407685	+	0.349334i
$826$	−5.04478	+	7.84983i	−0.175530	+	0.273131i
$827$	46.8754			1.63002			0.815009	−	0.579448i	$-0.196732\pi$
$827$	46.8754			1.63002			0.815009	+	0.579448i	$0.196732\pi$
$828$	−12.4470	+	7.21611i	−0.432563	+	0.250777i
$829$	−35.2043			−1.22269			−0.611347	−	0.791363i	$-0.709372\pi$
$829$	−35.2043			−1.22269			−0.611347	+	0.791363i	$0.709372\pi$
$830$	9.59163	−	14.9249i	0.332930	−	0.518050i
$831$	−0.268249	+	2.29855i	−0.00930544	+	0.0797359i
$832$	−0.992182	−	2.17257i	−0.0343977	−	0.0753205i
$833$	−6.29438	−	1.84820i	−0.218087	−	0.0640362i
$834$	11.5496	+	9.48144i	0.399929	+	0.328315i
$835$	7.24455	+	6.27744i	0.250708	+	0.217240i
$836$	11.6010	+	1.66797i	0.401229	+	0.0576880i
$837$	2.68458	+	1.43652i	0.0927927	+	0.0496535i
$838$	−15.6181	+	13.5332i	−0.539518	+	0.467495i
$839$	10.7126	−	6.88456i	0.369839	−	0.237681i	−0.342498	−	0.939519i	$-0.611273\pi$
$839$	10.7126	−	6.88456i	0.369839	−	0.237681i	0.712337	+	0.701837i	$0.247637\pi$
$840$	−4.53753	+	1.46462i	−0.156560	+	0.0505341i
$841$	48.0384	+	55.4393i	1.65650	+	1.91170i
$842$	14.3501	−	4.21357i	0.494537	−	0.145209i
$843$	−5.32657	+	12.5364i	−0.183457	+	0.431775i
$844$	−4.41513	+	5.09533i	−0.151975	+	0.175388i
$845$	8.34290	−	18.2684i	0.287004	−	0.628452i
$846$	−4.70634	−	4.88042i	−0.161807	−	0.167792i
$847$	−5.35054	+	2.44351i	−0.183847	+	0.0839599i
$848$	−1.31252	−	9.12877i	−0.0450721	−	0.313483i
$849$	21.1219	−	19.3102i	0.724902	−	0.662725i
$850$		−	16.9126i		−	0.580096i
$851$	−31.2609	+	22.0800i	−1.07161	+	0.756892i
$852$	5.89875	−	22.2656i	0.202088	−	0.762806i
$853$	14.8958	+	9.57294i	0.510022	+	0.327771i	0.770214	−	0.637786i	$-0.220149\pi$
$853$	14.8958	+	9.57294i	0.510022	+	0.327771i	−0.260192	+	0.965557i	$0.583786\pi$
$854$	−13.3568	+	1.92041i	−0.457059	+	0.0657152i
$855$	42.6137	+	3.82655i	1.45736	+	0.130865i
$856$	−1.50357	+	5.12070i	−0.0513911	+	0.175022i
$857$	41.7931	+	19.0863i	1.42762	+	0.651974i	0.971304	−	0.237841i	$-0.0764398\pi$
$857$	41.7931	+	19.0863i	1.42762	+	0.651974i	0.456320	+	0.889816i	$0.349167\pi$
$858$	5.26748	+	7.73558i	0.179829	+	0.264088i
$859$	−5.58819	+	38.8667i	−0.190667	+	1.32612i	0.639582	+	0.768723i	$0.279107\pi$
$859$	−5.58819	+	38.8667i	−0.190667	+	1.32612i	−0.830249	+	0.557393i	$0.811802\pi$
$860$	8.35428	+	28.4521i	0.284878	+	0.970207i
$861$	−1.77031	−	3.61833i	−0.0603321	−	0.123312i
$862$	8.72566	+	13.5774i	0.297197	+	0.462448i
$863$	−26.7008	−	41.5473i	−0.908907	−	1.41429i	−0.910146	−	0.414287i	$-0.864031\pi$
$863$	−26.7008	−	41.5473i	−0.908907	−	1.41429i	0.00123950	−	0.999999i	$-0.499605\pi$
$864$	−5.18587	−	0.326799i	−0.176427	−	0.0111179i
$865$	7.91109	+	26.9427i	0.268985	+	0.916080i
$866$	4.46832	−	31.0778i	0.151840	−	1.05607i
$867$	37.2731	−	25.3808i	1.26586	−	0.861977i
$868$	0.533012	+	0.243418i	0.0180916	+	0.00826216i
$869$	1.13536	−	3.86668i	0.0385144	−	0.131168i
$870$	−8.13369	−	47.5484i	−0.275758	−	1.61204i
$871$	25.9500	−	3.73105i	0.879283	−	0.126422i
$872$	13.6185	+	8.75208i	0.461181	+	0.296383i
$873$	−27.4585	+	48.1855i	−0.929329	+	1.63083i
$874$	24.4149	−	4.60821i	0.825846	−	0.155875i
$875$		−	6.66711i		−	0.225389i
$876$	−10.3260	−	11.2948i	−0.348884	−	0.381617i
$877$	0.390766	+	2.71784i	0.0131952	+	0.0917749i	0.995355	−	0.0962744i	$-0.0306926\pi$
$877$	0.390766	+	2.71784i	0.0131952	+	0.0917749i	−0.982160	+	0.188049i	$0.939784\pi$
$878$	18.6150	−	8.50116i	0.628224	−	0.286900i
$879$	−39.5806	−	23.9727i	−1.33502	−	0.808580i
$880$	−2.58707	+	5.66490i	−0.0872102	+	0.190964i
$881$	−26.7867	+	30.9135i	−0.902466	+	1.04150i	0.0964683	+	0.995336i	$0.469245\pi$
$881$	−26.7867	+	30.9135i	−0.902466	+	1.04150i	−0.998934	+	0.0461647i	$0.985300\pi$
$882$	2.36859	+	1.84114i	0.0797545	+	0.0619944i
$883$	10.4991	−	3.08280i	0.353321	−	0.103745i	−0.100255	−	0.994962i	$-0.531966\pi$
$883$	10.4991	−	3.08280i	0.353321	−	0.103745i	0.453577	+	0.891217i	$0.350148\pi$
$884$	−10.2605	−	11.8413i	−0.345098	−	0.398265i
$885$	13.6665	+	42.3402i	0.459394	+	1.42325i
$886$	−2.15208	+	1.38306i	−0.0723005	+	0.0464647i
$887$	−12.0073	+	10.4044i	−0.403166	+	0.349345i	−0.832718	−	0.553697i	$-0.813217\pi$
$887$	−12.0073	+	10.4044i	−0.403166	+	0.349345i	0.429553	+	0.903042i	$0.358671\pi$
$888$	−13.8174	+	0.367933i	−0.463683	+	0.0123470i
$889$	0.808875	+	0.116299i	0.0271288	+	0.00390053i
$890$	−13.1702	−	11.4121i	−0.441466	−	0.382533i
$891$	20.2452	−	2.16405i	0.678239	−	0.0724983i
$892$	7.89703	+	2.31878i	0.264412	+	0.0776384i
$893$	4.86387	+	10.6504i	0.162763	+	0.356402i
$894$	−19.4183	−	2.26617i	−0.649443	−	0.0757922i
$895$	21.8228	−	33.9570i	0.729456	−	1.13506i
$896$	−1.00000			−0.0334077
$897$	15.8702	+	11.9057i	0.529892	+	0.397521i
$898$	−2.13345			−0.0711942
$899$	−3.20507	+	4.98719i	−0.106895	+	0.166332i
$900$	−2.83397	+	7.19636i	−0.0944657	+	0.239879i
$901$	−25.1332	−	55.0341i	−0.837310	−	1.83345i
$902$	−5.04821	−	1.48229i	−0.168087	−	0.0493548i
$903$	11.8384	−	14.4206i	0.393956	−	0.479888i
$904$	−5.87236	−	5.08843i	−0.195312	−	0.169239i
$905$	−3.76493	−	0.541315i	−0.125150	−	0.0179939i
$906$	−0.946201	−	35.5338i	−0.0314354	−	1.18053i
$907$	−13.5623	+	11.7518i	−0.450330	+	0.390213i	−0.850286	−	0.526321i	$-0.823571\pi$
$907$	−13.5623	+	11.7518i	−0.450330	+	0.390213i	0.399956	+	0.916535i	$0.369026\pi$
$908$	−11.1486	+	7.16475i	−0.369978	+	0.237771i
$909$	1.84119	+	34.5477i	0.0610685	+	1.14588i
$910$	4.30564	+	4.96898i	0.142731	+	0.164720i
$911$	−11.9504	+	3.50895i	−0.395934	+	0.116257i	−0.473638	−	0.880720i	$-0.657059\pi$
$911$	−11.9504	+	3.50895i	−0.395934	+	0.116257i	0.0777035	+	0.996977i	$0.475241\pi$
$912$	8.25875	+	3.50906i	0.273474	+	0.116196i
$913$	−9.54770	+	11.0186i	−0.315983	+	0.364664i
$914$	−6.72312	+	14.7216i	−0.222381	+	0.486946i
$915$	−33.3321	+	55.0335i	−1.10192	+	1.81935i
$916$	−8.71388	+	3.97950i	−0.287915	+	0.131486i
$917$	0.407191	+	2.83208i	0.0134466	+	0.0935234i
$918$	−33.2458	+	7.52750i	−1.09727	+	0.248445i
$919$			19.4070i			0.640177i	0.947388	+	0.320089i	$0.103713\pi$
$919$			19.4070i			0.640177i	−0.947388	+	0.320089i	$0.896287\pi$
$920$	−1.30551	+	13.1374i	−0.0430414	+	0.433128i
$921$	46.4352	+	12.3019i	1.53009	+	0.405363i
$922$	−2.21924	−	1.42622i	−0.0730866	−	0.0469699i
$923$	−31.4390	+	4.52024i	−1.03483	+	0.148786i
$924$	3.86228	−	0.660688i	0.127060	−	0.0217350i
$925$	−5.79638	+	19.7406i	−0.190584	+	0.649068i
$926$	33.2046	+	15.1640i	1.09117	+	0.498321i
$927$	19.2308	+	54.5653i	0.631622	+	1.79216i
$928$	1.43982	−	10.0142i	0.0472644	−	0.328731i
$929$	6.50733	+	22.1619i	0.213499	+	0.727110i	0.994699	+	0.102829i	$0.0327895\pi$
$929$	6.50733	+	22.1619i	0.213499	+	0.727110i	−0.781200	+	0.624280i	$0.785392\pi$
$930$	2.50963	−	1.22787i	0.0822941	−	0.0402634i
$931$	−2.80092	−	4.35832i	−0.0917965	−	0.142838i
$932$	−6.37213	−	9.91523i	−0.208726	−	0.324784i
$933$	−26.1587	+	12.7985i	−0.856399	+	0.419004i
$934$	−2.39574	−	8.15914i	−0.0783910	−	0.266975i
$935$	−5.81417	+	40.4384i	−0.190144	+	1.32248i
$936$	2.38170	+	6.75782i	0.0778482	+	0.220886i
$937$	−7.51817	−	3.43343i	−0.245608	−	0.112165i	0.288808	−	0.957387i	$-0.406741\pi$
$937$	−7.51817	−	3.43343i	−0.245608	−	0.112165i	−0.534416	+	0.845222i	$0.679468\pi$
$938$	3.09249	−	10.5321i	0.100974	−	0.343884i
$939$	−52.9364	+	9.05537i	−1.72751	+	0.295511i
$940$	−6.15806	+	0.885396i	−0.200854	+	0.0288784i
$941$	−40.9544	−	26.3198i	−1.33508	−	0.858001i	−0.338523	−	0.940958i	$-0.609927\pi$
$941$	−40.9544	−	26.3198i	−1.33508	−	0.858001i	−0.996553	+	0.0829572i	$0.973564\pi$
$942$	−30.3317	−	8.03570i	−0.988262	−	0.261817i
$943$	−11.1429	+	0.487828i	−0.362862	+	0.0158859i
$944$			9.33111i			0.303702i
$945$	13.9510	−	3.15878i	0.453826	−	0.102755i
$946$	−3.46808	−	24.1210i	−0.112757	−	0.784241i
$947$	−1.40443	+	0.641382i	−0.0456379	+	0.0208421i	−0.438103	−	0.898925i	$-0.644350\pi$
$947$	−1.40443	+	0.641382i	−0.0456379	+	0.0208421i	0.392465	+	0.919767i	$0.371622\pi$
$948$	1.59841	−	2.63908i	0.0519138	−	0.0857133i
$949$	−8.76646	+	19.1959i	−0.284571	+	0.623124i
$950$	8.74661	−	10.0941i	0.283778	−	0.327497i
$951$	−10.8056	−	4.59118i	−0.350395	−	0.148879i
$952$	−6.29438	+	1.84820i	−0.204002	+	0.0599004i
$953$	−0.0278562	−	0.0321477i	−0.000902350	−	0.00104137i	0.755298	−	0.655381i	$-0.227492\pi$
$953$	−0.0278562	−	0.0321477i	−0.000902350	−	0.00104137i	−0.756201	+	0.654340i	$0.772947\pi$
$954$	1.47245	+	27.6287i	0.0476723	+	0.894513i
$955$	2.52352	−	1.62177i	0.0816591	−	0.0524791i
$956$	6.43690	−	5.57761i	0.208184	−	0.180393i
$957$	1.05524	+	39.6288i	0.0341112	+	1.28102i
$958$	15.2626	+	2.19443i	0.493111	+	0.0708987i
$959$	8.54373	+	7.40319i	0.275892	+	0.239061i
$960$	−3.02538	+	3.68529i	−0.0976438	+	0.118942i
$961$	29.4148	+	8.63698i	0.948866	+	0.278612i
$962$	7.91794	+	17.3379i	0.255285	+	0.558995i
$963$	5.86658	−	14.8971i	0.189048	−	0.480053i
$964$	4.52328	−	7.03836i	0.145685	−	0.226690i
$965$	3.14448			0.101224
$966$	7.29463	−	3.97345i	0.234701	−	0.127844i
$967$	22.1996			0.713892			0.356946	−	0.934125i	$-0.383818\pi$
$967$	22.1996			0.713892			0.356946	+	0.934125i	$0.383818\pi$
$968$	−3.18010	+	4.94833i	−0.102212	+	0.159045i
$969$	58.4691	+	6.82354i	1.87830	+	0.219204i
$970$	21.1408	+	46.2918i	0.678789	+	1.48634i
$971$	6.55175	+	1.92377i	0.210256	+	0.0617366i	0.385164	−	0.922848i	$-0.374145\pi$
$971$	6.55175	+	1.92377i	0.210256	+	0.0617366i	−0.174909	+	0.984585i	$0.555963\pi$
$972$	15.4076	+	2.36788i	0.494198	+	0.0759498i
$973$	−6.52007	−	5.64967i	−0.209024	−	0.181120i
$974$	−36.4106	−	5.23506i	−1.16667	−	0.167742i
$975$	10.6614	−	0.283894i	0.341438	−	0.00909188i
$976$	−10.1982	+	8.83677i	−0.326436	+	0.282858i
$977$	16.0722	−	10.3290i	0.514196	−	0.330454i	−0.257676	−	0.966231i	$-0.582957\pi$
$977$	16.0722	−	10.3290i	0.514196	−	0.330454i	0.771872	+	0.635778i	$0.219320\pi$
$978$	−3.13684	−	9.71825i	−0.100305	−	0.310755i
$979$	9.37843	+	10.8233i	0.299736	+	0.345914i
$980$	2.64132	−	0.775563i	0.0843740	−	0.0247744i
$981$	−38.3435	−	29.8050i	−1.22421	−	0.951600i
$982$	−22.7971	+	26.3092i	−0.727484	+	0.839561i
$983$	1.48173	−	3.24453i	0.0472597	−	0.103484i	−0.884529	−	0.466485i	$-0.845520\pi$
$983$	1.48173	−	3.24453i	0.0472597	−	0.103484i	0.931789	+	0.363000i	$0.118248\pi$
$984$	−3.44550	−	2.08683i	−0.109839	−	0.0665257i
$985$	40.4175	−	18.4581i	1.28781	−	0.588122i
$986$	−9.44538	−	65.6940i	−0.300802	−	2.09212i
$987$	2.64124	+	2.88904i	0.0840717	+	0.0919592i
$988$		−	12.3738i		−	0.393661i
$989$	−23.4952	−	46.0081i	−0.747103	−	1.46297i
$990$	9.25006	−	16.2325i	0.293986	−	0.515901i
$991$	−2.96058	−	1.90265i	−0.0940459	−	0.0604396i	0.492773	−	0.870158i	$-0.335983\pi$
$991$	−2.96058	−	1.90265i	−0.0940459	−	0.0604396i	−0.586819	+	0.809718i	$0.699620\pi$
$992$	0.580000	−	0.0833914i	0.0184150	−	0.00264768i
$993$	−2.22918	−	13.0315i	−0.0707409	−	0.413541i
$994$	−3.74662	+	12.7598i	−0.118836	+	0.404717i
$995$	22.1515	+	10.1163i	0.702251	+	0.320707i
$996$	−9.22658	+	6.28277i	−0.292355	+	0.199077i
$997$	−2.36903	+	16.4769i	−0.0750278	+	0.521830i	0.917300	+	0.398196i	$0.130364\pi$
$997$	−2.36903	+	16.4769i	−0.0750278	+	0.521830i	−0.992328	+	0.123633i	$0.960545\pi$
$998$	4.07349	+	13.8730i	0.128944	+	0.439143i
$999$	41.3849	+	2.60796i	1.30936	+	0.0825123i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.b.113.6	yes	240
3.2	odd	2		966.2.r.a.113.20	✓	240
23.11	odd	22		966.2.r.a.701.20	yes	240
69.11	even	22	inner	966.2.r.b.701.6	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.20	✓	240	3.2	odd	2
966.2.r.a.701.20	yes	240	23.11	odd	22
966.2.r.b.113.6	yes	240	1.1	even	1	trivial
966.2.r.b.701.6	yes	240	69.11	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 + 0.841254i) q^{2} +(-0.200773 + 1.72037i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.64132 + 0.775563i) q^{5} +(-1.33873 - 1.09901i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.91938 - 0.690811i) q^{9} +O(q^{10})\)	\(q+(-0.540641 + 0.841254i) q^{2} +(-0.200773 + 1.72037i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.64132 + 0.775563i) q^{5} +(-1.33873 - 1.09901i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.91938 - 0.690811i) q^{9} +(-2.08045 + 1.80272i) q^{10} +(1.90315 - 1.22308i) q^{11} +(1.64831 - 0.532040i) q^{12} +(-1.56408 - 1.80504i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(-1.86457 + 4.38836i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-2.72517 + 5.96728i) q^{17} +(2.15948 - 2.08246i) q^{18} +(-4.71257 + 2.15216i) q^{19} +(-0.391769 - 2.72481i) q^{20} +(-1.27834 + 1.16869i) q^{21} +2.26228i q^{22} +(1.55111 + 4.53807i) q^{23} +(-0.443565 + 1.67429i) q^{24} +(2.16883 + 1.39382i) q^{25} +(2.36410 - 0.339906i) q^{26} +(1.77459 - 4.88373i) q^{27} +(0.281733 - 0.959493i) q^{28} +(9.20288 + 4.20281i) q^{29} +(-2.68366 - 3.94110i) q^{30} +(-0.0833914 + 0.580000i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(1.72206 + 3.51970i) q^{33} +(-3.54666 - 5.51871i) q^{34} +(1.48829 + 2.31583i) q^{35} +(0.584370 + 2.94253i) q^{36} +(2.24832 + 7.65707i) q^{37} +(0.737297 - 5.12801i) q^{38} +(3.41937 - 2.32839i) q^{39} +(2.50407 + 1.14357i) q^{40} +(-0.655219 + 2.23147i) q^{41} +(-0.292045 - 1.70725i) q^{42} +(-10.6622 + 1.53300i) q^{43} +(-1.90315 - 1.22308i) q^{44} +(-7.17526 - 4.08882i) q^{45} +(-4.65626 - 1.14859i) q^{46} -2.25999i q^{47} +(-1.16869 - 1.27834i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-2.34512 + 1.07098i) q^{50} +(-9.71883 - 5.88638i) q^{51} +(-0.992182 + 2.17257i) q^{52} +(-6.03955 + 6.97001i) q^{53} +(3.14904 + 4.13322i) q^{54} +(5.97542 - 1.75454i) q^{55} +(0.654861 + 0.755750i) q^{56} +(-2.75636 - 8.53949i) q^{57} +(-8.51109 + 5.46974i) q^{58} +(7.05198 - 6.11058i) q^{59} +(4.76636 - 0.126919i) q^{60} +(13.3568 + 1.92041i) q^{61} +(-0.442842 - 0.383725i) q^{62} +(-1.75394 - 2.43387i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-2.73131 - 5.98074i) q^{65} +(-3.89197 - 0.454206i) q^{66} +(-5.93445 + 9.23419i) q^{67} +6.56011 q^{68} +(-8.11860 + 1.75737i) q^{69} -2.75283 q^{70} +(7.18971 - 11.1874i) q^{71} +(-2.79135 - 1.09925i) q^{72} +(-3.67041 - 8.03708i) q^{73} +(-7.65707 - 2.24832i) q^{74} +(-2.83334 + 3.45136i) q^{75} +(3.91535 + 3.39267i) q^{76} +(2.23925 + 0.321956i) q^{77} +(0.110118 + 4.13538i) q^{78} +(1.34626 - 1.16654i) q^{79} +(-2.31583 + 1.48829i) q^{80} +(8.04556 + 4.03348i) q^{81} +(-1.52299 - 1.75763i) q^{82} +(-6.18366 + 1.81569i) q^{83} +(1.59412 + 0.677326i) q^{84} +(-11.8261 + 13.6480i) q^{85} +(4.47480 - 9.79845i) q^{86} +(-9.07811 + 14.9886i) q^{87} +(2.05784 - 0.939785i) q^{88} +(0.900917 + 6.26602i) q^{89} +(7.31897 - 3.82563i) q^{90} -2.38841i q^{91} +(3.48362 - 3.29612i) q^{92} +(-0.981075 - 0.259913i) q^{93} +(1.90123 + 1.22185i) q^{94} +(-14.1166 + 2.02966i) q^{95} +(1.70725 - 0.292045i) q^{96} +(5.20830 - 17.7378i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(-6.40094 + 2.25592i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

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