LMFDB - Embedded newform 966.2.q.f.169.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			169.1
Character	$\chi$	$=$	966.169
Dual form			966.2.q.f.463.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-2.78120 - 3.20968i) q^{5} +(0.959493 - 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-2.78120 - 3.20968i) q^{5} +(0.959493 - 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(-3.57281 + 2.29611i) q^{10} +(-0.0357789 - 0.248848i) q^{11} +(-0.142315 - 0.989821i) q^{12} +(0.959223 - 0.616455i) q^{13} +(-0.654861 + 0.755750i) q^{14} +(1.76427 - 3.86322i) q^{15} +(0.841254 + 0.540641i) q^{16} +(3.71885 - 1.09195i) q^{17} +(0.654861 + 0.755750i) q^{18} +(-3.04938 - 0.895379i) q^{19} +(1.76427 + 3.86322i) q^{20} +(0.142315 - 0.989821i) q^{21} -0.251407 q^{22} +(-4.02594 + 2.60611i) q^{23} -1.00000 q^{24} +(-1.85537 + 12.9044i) q^{25} +(-0.473669 - 1.03719i) q^{26} +(-0.959493 - 0.281733i) q^{27} +(0.654861 + 0.755750i) q^{28} +(-4.48827 + 1.31788i) q^{29} +(-3.57281 - 2.29611i) q^{30} +(-4.18764 + 9.16964i) q^{31} +(0.654861 - 0.755750i) q^{32} +(0.211497 - 0.135921i) q^{33} +(-0.551591 - 3.83640i) q^{34} +(0.604413 + 4.20378i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-7.43600 + 8.58160i) q^{37} +(-1.32024 + 2.89092i) q^{38} +(0.959223 + 0.616455i) q^{39} +(4.07498 - 1.19652i) q^{40} +(0.228982 + 0.264259i) q^{41} +(-0.959493 - 0.281733i) q^{42} +(-3.94431 - 8.63684i) q^{43} +(-0.0357789 + 0.248848i) q^{44} +4.24701 q^{45} +(2.00663 + 4.35585i) q^{46} +8.99968 q^{47} +(-0.142315 + 0.989821i) q^{48} +(0.415415 + 0.909632i) q^{49} +(12.5090 + 3.67298i) q^{50} +(2.53814 + 2.92917i) q^{51} +(-1.09404 + 0.321240i) q^{52} +(-10.6391 - 6.83736i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(-0.699213 + 0.806935i) q^{55} +(0.841254 - 0.540641i) q^{56} +(-0.452293 - 3.14577i) q^{57} +(0.665714 + 4.63014i) q^{58} +(9.63521 - 6.19217i) q^{59} +(-2.78120 + 3.20968i) q^{60} +(-2.50204 + 5.47871i) q^{61} +(8.48035 + 5.44999i) q^{62} +(0.959493 - 0.281733i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(-4.64642 - 1.36431i) q^{65} +(-0.104438 - 0.228688i) q^{66} +(-0.978732 + 6.80723i) q^{67} -3.87585 q^{68} +(-4.04304 - 2.57951i) q^{69} +4.24701 q^{70} +(1.57432 - 10.9496i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(-0.950452 - 0.279078i) q^{73} +(7.43600 + 8.58160i) q^{74} +(-12.5090 + 3.67298i) q^{75} +(2.67360 + 1.71822i) q^{76} +(-0.104438 + 0.228688i) q^{77} +(0.746692 - 0.861729i) q^{78} +(4.71198 - 3.02821i) q^{79} +(-0.604413 - 4.20378i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(0.294157 - 0.189043i) q^{82} +(-5.72437 + 6.60627i) q^{83} +(-0.415415 + 0.909632i) q^{84} +(-13.8477 - 8.89937i) q^{85} +(-9.11026 + 2.67501i) q^{86} +(-3.06328 - 3.53521i) q^{87} +(0.241223 + 0.0708295i) q^{88} +(-1.09755 - 2.40330i) q^{89} +(0.604413 - 4.20378i) q^{90} -1.14023 q^{91} +(4.59709 - 1.36630i) q^{92} -10.0806 q^{93} +(1.28079 - 8.90808i) q^{94} +(5.60707 + 12.2778i) q^{95} +(0.959493 + 0.281733i) q^{96} +(4.16429 + 4.80584i) q^{97} +(0.959493 - 0.281733i) q^{98} +(0.211497 + 0.135921i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{3}{11}\right)$

Coefficient data

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

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

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

$2$	0.142315	−	0.989821i	0.100632	−	0.699909i
$2$	0.142315	−	0.989821i	0.100632	−	0.699909i
$3$	0.415415	+	0.909632i	0.239840	+	0.525176i
$3$	0.415415	+	0.909632i	0.239840	+	0.525176i
$4$	−0.959493	−	0.281733i	−0.479746	−	0.140866i
$5$	−2.78120	−	3.20968i	−1.24379	−	1.43541i	−0.858657	−	0.512551i	$-0.828701\pi$
$5$	−2.78120	−	3.20968i	−1.24379	−	1.43541i	−0.385134	−	0.922861i	$-0.625845\pi$
$6$	0.959493	−	0.281733i	0.391711	−	0.115017i
$7$	−0.841254	−	0.540641i	−0.317964	−	0.204343i
$7$	−0.841254	−	0.540641i	−0.317964	−	0.204343i
$8$	−0.415415	+	0.909632i	−0.146871	+	0.321603i
$9$	−0.654861	+	0.755750i	−0.218287	+	0.251917i
$10$	−3.57281	+	2.29611i	−1.12982	+	0.726093i
$11$	−0.0357789	−	0.248848i	−0.0107878	−	0.0750305i	0.983716	−	0.179728i	$-0.0575217\pi$
$11$	−0.0357789	−	0.248848i	−0.0107878	−	0.0750305i	−0.994504	+	0.104697i	$0.966613\pi$
$12$	−0.142315	−	0.989821i	−0.0410828	−	0.285737i
$13$	0.959223	−	0.616455i	0.266041	−	0.170974i	−0.400819	−	0.916157i	$-0.631274\pi$
$13$	0.959223	−	0.616455i	0.266041	−	0.170974i	0.666860	+	0.745183i	$0.267638\pi$
$14$	−0.654861	+	0.755750i	−0.175019	+	0.201983i
$15$	1.76427	−	3.86322i	0.455533	−	0.997479i
$16$	0.841254	+	0.540641i	0.210313	+	0.135160i
$17$	3.71885	−	1.09195i	0.901954	−	0.264838i	0.202304	−	0.979323i	$-0.435157\pi$
$17$	3.71885	−	1.09195i	0.901954	−	0.264838i	0.699651	+	0.714485i	$0.253339\pi$
$18$	0.654861	+	0.755750i	0.154352	+	0.178132i
$19$	−3.04938	−	0.895379i	−0.699576	−	0.205414i	−0.0874438	−	0.996169i	$-0.527870\pi$
$19$	−3.04938	−	0.895379i	−0.699576	−	0.205414i	−0.612132	+	0.790755i	$0.709688\pi$
$20$	1.76427	+	3.86322i	0.394503	+	0.863842i
$21$	0.142315	−	0.989821i	0.0310556	−	0.215997i
$22$	−0.251407			−0.0536001
$23$	−4.02594	+	2.60611i	−0.839467	+	0.543411i
$23$	−4.02594	+	2.60611i	−0.839467	+	0.543411i
$24$	−1.00000			−0.204124
$25$	−1.85537	+	12.9044i	−0.371075	+	2.58088i
$26$	−0.473669	−	1.03719i	−0.0928941	−	0.203410i
$27$	−0.959493	−	0.281733i	−0.184655	−	0.0542195i
$28$	0.654861	+	0.755750i	0.123757	+	0.142823i
$29$	−4.48827	+	1.31788i	−0.833451	+	0.244723i	−0.670499	−	0.741911i	$-0.733920\pi$
$29$	−4.48827	+	1.31788i	−0.833451	+	0.244723i	−0.162952	+	0.986634i	$0.552102\pi$
$30$	−3.57281	−	2.29611i	−0.652304	−	0.419210i
$31$	−4.18764	+	9.16964i	−0.752122	+	1.64692i	0.0103931	+	0.999946i	$0.496692\pi$
$31$	−4.18764	+	9.16964i	−0.752122	+	1.64692i	−0.762515	+	0.646971i	$0.776036\pi$
$32$	0.654861	−	0.755750i	0.115764	−	0.133599i
$33$	0.211497	−	0.135921i	0.0368169	−	0.0236608i
$34$	−0.551591	−	3.83640i	−0.0945971	−	0.657937i
$35$	0.604413	+	4.20378i	0.102164	+	0.710569i
$36$	0.841254	−	0.540641i	0.140209	−	0.0901068i
$37$	−7.43600	+	8.58160i	−1.22247	+	1.41081i	−0.340010	+	0.940422i	$0.610430\pi$
$37$	−7.43600	+	8.58160i	−1.22247	+	1.41081i	−0.882461	+	0.470385i	$0.844115\pi$
$38$	−1.32024	+	2.89092i	−0.214171	+	0.468969i
$39$	0.959223	+	0.616455i	0.153599	+	0.0987119i
$40$	4.07498	−	1.19652i	0.644311	−	0.189187i
$41$	0.228982	+	0.264259i	0.0357610	+	0.0412704i	0.773348	−	0.633981i	$-0.218580\pi$
$41$	0.228982	+	0.264259i	0.0357610	+	0.0412704i	−0.737587	+	0.675252i	$0.764035\pi$
$42$	−0.959493	−	0.281733i	−0.148053	−	0.0434723i
$43$	−3.94431	−	8.63684i	−0.601502	−	1.31711i	−0.928237	−	0.371989i	$-0.878676\pi$
$43$	−3.94431	−	8.63684i	−0.601502	−	1.31711i	0.326735	−	0.945116i	$-0.394051\pi$
$44$	−0.0357789	+	0.248848i	−0.00539388	+	0.0375152i
$45$	4.24701			0.633107
$46$	2.00663	+	4.35585i	0.295862	+	0.642235i
$47$	8.99968			1.31274			0.656369	−	0.754440i	$-0.272091\pi$
$47$	8.99968			1.31274			0.656369	+	0.754440i	$0.272091\pi$
$48$	−0.142315	+	0.989821i	−0.0205414	+	0.142868i
$49$	0.415415	+	0.909632i	0.0593450	+	0.129947i
$50$	12.5090	+	3.67298i	1.76904	+	0.519438i
$51$	2.53814	+	2.92917i	0.355411	+	0.410166i
$52$	−1.09404	+	0.321240i	−0.151717	+	0.0445480i
$53$	−10.6391	−	6.83736i	−1.46140	−	0.939183i	−0.998610	−	0.0527141i	$-0.983213\pi$
$53$	−10.6391	−	6.83736i	−1.46140	−	0.939183i	−0.462788	−	0.886469i	$-0.653151\pi$
$54$	−0.415415	+	0.909632i	−0.0565308	+	0.123785i
$55$	−0.699213	+	0.806935i	−0.0942819	+	0.108807i
$56$	0.841254	−	0.540641i	0.112417	−	0.0722462i
$57$	−0.452293	−	3.14577i	−0.0599077	−	0.416667i
$58$	0.665714	+	4.63014i	0.0874125	+	0.607967i
$59$	9.63521	−	6.19217i	1.25440	−	0.806152i	0.266890	−	0.963727i	$-0.414004\pi$
$59$	9.63521	−	6.19217i	1.25440	−	0.806152i	0.987507	+	0.157575i	$0.0503676\pi$
$60$	−2.78120	+	3.20968i	−0.359052	+	0.414368i
$61$	−2.50204	+	5.47871i	−0.320354	+	0.701477i	−0.999470	−	0.0325535i	$-0.989636\pi$
$61$	−2.50204	+	5.47871i	−0.320354	+	0.701477i	0.679116	+	0.734031i	$0.262363\pi$
$62$	8.48035	+	5.44999i	1.07701	+	0.692149i
$63$	0.959493	−	0.281733i	0.120885	−	0.0354950i
$64$	−0.654861	−	0.755750i	−0.0818576	−	0.0944687i
$65$	−4.64642	−	1.36431i	−0.576317	−	0.169222i
$66$	−0.104438	−	0.228688i	−0.0128555	−	0.0281495i
$67$	−0.978732	+	6.80723i	−0.119571	+	0.831636i	0.838458	+	0.544966i	$0.183457\pi$
$67$	−0.978732	+	6.80723i	−0.119571	+	0.831636i	−0.958029	+	0.286670i	$0.907452\pi$
$68$	−3.87585			−0.470016
$69$	−4.04304	−	2.57951i	−0.486724	−	0.310536i
$70$	4.24701			0.507615
$71$	1.57432	−	10.9496i	0.186837	−	1.29948i	−0.653296	−	0.757103i	$-0.726614\pi$
$71$	1.57432	−	10.9496i	0.186837	−	1.29948i	0.840133	−	0.542380i	$-0.182477\pi$
$72$	−0.415415	−	0.909632i	−0.0489571	−	0.107201i
$73$	−0.950452	−	0.279078i	−0.111242	−	0.0326636i	0.225638	−	0.974211i	$-0.427553\pi$
$73$	−0.950452	−	0.279078i	−0.111242	−	0.0326636i	−0.336880	+	0.941548i	$0.609372\pi$
$74$	7.43600	+	8.58160i	0.864418	+	0.997591i
$75$	−12.5090	+	3.67298i	−1.44442	+	0.424119i
$76$	2.67360	+	1.71822i	0.306683	+	0.197093i
$77$	−0.104438	+	0.228688i	−0.0119018	+	0.0260614i
$78$	0.746692	−	0.861729i	0.0845463	−	0.0975716i
$79$	4.71198	−	3.02821i	0.530140	−	0.340700i	−0.248032	−	0.968752i	$-0.579784\pi$
$79$	4.71198	−	3.02821i	0.530140	−	0.340700i	0.778172	+	0.628052i	$0.216147\pi$
$80$	−0.604413	−	4.20378i	−0.0675754	−	0.469997i
$81$	−0.142315	−	0.989821i	−0.0158128	−	0.109980i
$82$	0.294157	−	0.189043i	0.0324842	−	0.0208763i
$83$	−5.72437	+	6.60627i	−0.628331	+	0.725133i	−0.977267	−	0.212014i	$-0.931998\pi$
$83$	−5.72437	+	6.60627i	−0.628331	+	0.725133i	0.348935	+	0.937147i	$0.386543\pi$
$84$	−0.415415	+	0.909632i	−0.0453255	+	0.0992490i
$85$	−13.8477	−	8.89937i	−1.50199	−	0.965273i
$86$	−9.11026	+	2.67501i	−0.982384	+	0.288454i
$87$	−3.06328	−	3.53521i	−0.328418	−	0.379014i
$88$	0.241223	+	0.0708295i	0.0257145	+	0.00755045i
$89$	−1.09755	−	2.40330i	−0.116340	−	0.254750i	0.842500	−	0.538697i	$-0.181083\pi$
$89$	−1.09755	−	2.40330i	−0.116340	−	0.254750i	−0.958840	+	0.283947i	$0.908356\pi$
$90$	0.604413	−	4.20378i	0.0637107	−	0.443118i
$91$	−1.14023			−0.119529
$92$	4.59709	−	1.36630i	0.479279	−	0.142447i
$93$	−10.0806			−1.04531
$94$	1.28079	−	8.90808i	0.132103	−	0.918798i
$95$	5.60707	+	12.2778i	0.575273	+	1.25967i
$96$	0.959493	+	0.281733i	0.0979278	+	0.0287542i
$97$	4.16429	+	4.80584i	0.422819	+	0.487959i	0.926694	−	0.375818i	$-0.122638\pi$
$97$	4.16429	+	4.80584i	0.422819	+	0.487959i	−0.503875	+	0.863777i	$0.668093\pi$
$98$	0.959493	−	0.281733i	0.0969234	−	0.0284593i
$99$	0.211497	+	0.135921i	0.0212562	+	0.0136606i
$100$	5.41581	−	11.8590i	0.541581	−	1.18590i
$101$	−12.4357	+	14.3515i	−1.23739	+	1.42803i	−0.371025	+	0.928623i	$0.620994\pi$
$101$	−12.4357	+	14.3515i	−1.23739	+	1.42803i	−0.866368	+	0.499406i	$0.833552\pi$
$102$	3.26057	−	2.09544i	0.322845	−	0.207480i
$103$	−1.94795	−	13.5483i	−0.191937	−	1.33495i	−0.826873	−	0.562388i	$-0.809883\pi$
$103$	−1.94795	−	13.5483i	−0.191937	−	1.33495i	0.634936	−	0.772565i	$-0.281026\pi$
$104$	0.162272	+	1.12863i	0.0159121	+	0.110671i
$105$	−3.57281	+	2.29611i	−0.348671	+	0.224077i
$106$	−8.28187	+	9.55779i	−0.804406	+	0.928334i
$107$	6.18106	−	13.5346i	0.597545	−	1.30844i	−0.333229	−	0.942846i	$-0.608138\pi$
$107$	6.18106	−	13.5346i	0.597545	−	1.30844i	0.930774	−	0.365595i	$-0.119135\pi$
$108$	0.841254	+	0.540641i	0.0809497	+	0.0520232i
$109$	−8.88287	+	2.60825i	−0.850825	+	0.249825i	−0.677940	−	0.735117i	$-0.737127\pi$
$109$	−8.88287	+	2.60825i	−0.850825	+	0.249825i	−0.172885	+	0.984942i	$0.555309\pi$
$110$	0.699213	+	0.806935i	0.0666674	+	0.0769382i
$111$	−10.8951	−	3.19910i	−1.03412	−	0.303645i
$112$	−0.415415	−	0.909632i	−0.0392530	−	0.0859521i
$113$	0.716761	−	4.98518i	0.0674272	−	0.468966i	−0.927933	−	0.372747i	$-0.878416\pi$
$113$	0.716761	−	4.98518i	0.0674272	−	0.468966i	0.995360	−	0.0962193i	$-0.0306750\pi$
$114$	−3.17812			−0.297658
$115$	19.5617	+	5.67386i	1.82414	+	0.529090i
$116$	4.67775			0.434319
$117$	−0.162272	+	1.12863i	−0.0150020	+	0.104341i
$118$	−4.75791	−	10.4184i	−0.438001	−	0.959089i
$119$	−3.71885	−	1.09195i	−0.340907	−	0.100099i
$120$	2.78120	+	3.20968i	0.253888	+	0.293002i
$121$	10.4938	−	3.08125i	0.953980	−	0.280114i
$122$	5.06687	+	3.25628i	0.458733	+	0.294810i
$123$	−0.145256	+	0.318067i	−0.0130973	+	0.0286791i
$124$	6.60140	−	7.61842i	0.592823	−	0.684154i
$125$	28.7151	−	18.4541i	2.56836	−	1.65058i
$126$	−0.142315	−	0.989821i	−0.0126784	−	0.0881803i
$127$	−0.666322	−	4.63437i	−0.0591265	−	0.411234i	−0.997793	−	0.0664065i	$-0.978847\pi$
$127$	−0.666322	−	4.63437i	−0.0591265	−	0.411234i	0.938666	−	0.344827i	$-0.112063\pi$
$128$	−0.841254	+	0.540641i	−0.0743570	+	0.0477863i
$129$	6.21782	−	7.17574i	0.547448	−	0.631789i
$130$	−2.01168	+	4.40496i	−0.176436	+	0.386341i
$131$	−1.34980	−	0.867463i	−0.117932	−	0.0757906i	0.480345	−	0.877080i	$-0.340512\pi$
$131$	−1.34980	−	0.867463i	−0.117932	−	0.0757906i	−0.598277	+	0.801289i	$0.704148\pi$
$132$	−0.241223	+	0.0708295i	−0.0209958	+	0.00616492i
$133$	2.08122	+	2.40186i	0.180465	+	0.208268i
$134$	6.59866	+	1.93754i	0.570037	+	0.167378i
$135$	1.76427	+	3.86322i	0.151844	+	0.332493i
$136$	−0.551591	+	3.83640i	−0.0472986	+	0.328969i
$137$	−10.4307			−0.891153			−0.445576	−	0.895244i	$-0.647001\pi$
$137$	−10.4307			−0.891153			−0.445576	+	0.895244i	$0.647001\pi$
$138$	−3.12864	+	3.63478i	−0.266327	+	0.309413i
$139$	0.500433			0.0424462			0.0212231	−	0.999775i	$-0.493244\pi$
$139$	0.500433			0.0424462			0.0212231	+	0.999775i	$0.493244\pi$
$140$	0.604413	−	4.20378i	0.0510822	−	0.355285i
$141$	3.73860	+	8.18640i	0.314847	+	0.689419i
$142$	−10.6141	−	3.11659i	−0.890718	−	0.261538i
$143$	−0.187724	−	0.216645i	−0.0156982	−	0.0181167i
$144$	−0.959493	+	0.281733i	−0.0799577	+	0.0234777i
$145$	16.7127	+	10.7406i	1.38792	+	0.891961i
$146$	−0.411501	+	0.901061i	−0.0340560	+	0.0745723i
$147$	−0.654861	+	0.755750i	−0.0540120	+	0.0623332i
$148$	9.55251	−	6.13902i	0.785211	−	0.504625i
$149$	−1.14468	−	7.96143i	−0.0937759	−	0.652226i	−0.981445	−	0.191744i	$-0.938586\pi$
$149$	−1.14468	−	7.96143i	−0.0937759	−	0.652226i	0.887669	−	0.460482i	$-0.152323\pi$
$150$	1.85537	+	12.9044i	0.151491	+	1.05364i
$151$	−1.53687	+	0.987684i	−0.125068	+	0.0803766i	−0.601679	−	0.798738i	$-0.705501\pi$
$151$	−1.53687	+	0.987684i	−0.125068	+	0.0803766i	0.476611	+	0.879114i	$0.341865\pi$
$152$	2.08122	−	2.40186i	0.168810	−	0.194817i
$153$	−1.61009	+	3.52560i	−0.130168	+	0.285028i
$154$	0.211497	+	0.135921i	0.0170429	+	0.0109528i
$155$	41.0783	−	12.0617i	3.29949	−	0.968816i
$156$	−0.746692	−	0.861729i	−0.0597832	−	0.0689935i
$157$	−8.41490	−	2.47084i	−0.671582	−	0.197194i	−0.0718747	−	0.997414i	$-0.522898\pi$
$157$	−8.41490	−	2.47084i	−0.671582	−	0.197194i	−0.599707	+	0.800219i	$0.704716\pi$
$158$	−2.32680	−	5.09498i	−0.185110	−	0.405335i
$159$	1.79982	−	12.5180i	0.142735	−	0.992745i
$160$	−4.24701			−0.335756
$161$	4.79581	−	0.0158103i	0.377962	−	0.00124602i
$162$	−1.00000			−0.0785674
$163$	1.22086	−	8.49126i	0.0956250	−	0.665087i	−0.884476	−	0.466586i	$-0.845484\pi$
$163$	1.22086	−	8.49126i	0.0956250	−	0.665087i	0.980101	−	0.198500i	$-0.0636071\pi$
$164$	−0.145256	−	0.318067i	−0.0113426	−	0.0248368i
$165$	−1.02448	−	0.300814i	−0.0797555	−	0.0234183i
$166$	5.72437	+	6.60627i	0.444297	+	0.512746i
$167$	−18.7940	+	5.51842i	−1.45432	+	0.427028i	−0.910969	−	0.412475i	$-0.864664\pi$
$167$	−18.7940	+	5.51842i	−1.45432	+	0.427028i	−0.543355	+	0.839503i	$0.682846\pi$
$168$	0.841254	+	0.540641i	0.0649041	+	0.0417113i
$169$	−4.86030	+	10.6426i	−0.373869	+	0.818660i
$170$	−10.7795	+	12.4402i	−0.826752	+	0.954122i
$171$	2.67360	−	1.71822i	0.204455	−	0.131396i
$172$	1.35126	+	9.39822i	0.103033	+	0.716608i
$173$	2.62653	+	18.2679i	0.199691	+	1.38888i	0.805181	+	0.593029i	$0.202068\pi$
$173$	2.62653	+	18.2679i	0.199691	+	1.38888i	−0.605490	+	0.795853i	$0.707023\pi$
$174$	−3.93518	+	2.52898i	−0.298325	+	0.191722i
$175$	8.53749	−	9.85279i	0.645374	−	0.744801i
$176$	0.104438	−	0.228688i	0.00787233	−	0.0172380i
$177$	9.63521	+	6.19217i	0.724226	+	0.465432i
$178$	−2.53504	+	0.744354i	−0.190009	+	0.0557917i
$179$	−6.63688	−	7.65937i	−0.496064	−	0.572488i	0.451412	−	0.892316i	$-0.350920\pi$
$179$	−6.63688	−	7.65937i	−0.496064	−	0.572488i	−0.947476	+	0.319828i	$0.896375\pi$
$180$	−4.07498	−	1.19652i	−0.303731	−	0.0891835i
$181$	−6.00996	−	13.1600i	−0.446717	−	0.978174i	−0.990316	−	0.138829i	$-0.955666\pi$
$181$	−6.00996	−	13.1600i	−0.446717	−	0.978174i	0.543599	−	0.839345i	$-0.317061\pi$
$182$	−0.162272	+	1.12863i	−0.0120284	+	0.0836593i
$183$	−6.02300			−0.445233
$184$	−0.698164	−	4.74474i	−0.0514693	−	0.349787i
$185$	48.2252			3.54559
$186$	−1.43462	+	9.97800i	−0.105191	+	0.731623i
$187$	−0.404787	−	0.886360i	−0.0296010	−	0.0648170i
$188$	−8.63513	−	2.53550i	−0.629782	−	0.184921i
$189$	0.654861	+	0.755750i	0.0476341	+	0.0549727i
$190$	12.9508	−	3.80269i	0.939547	−	0.275876i
$191$	1.45987	+	0.938203i	0.105633	+	0.0678860i	0.592391	−	0.805651i	$-0.298184\pi$
$191$	1.45987	+	0.938203i	0.105633	+	0.0678860i	−0.486758	+	0.873537i	$0.661821\pi$
$192$	0.415415	−	0.909632i	0.0299800	−	0.0656470i
$193$	−11.9689	+	13.8128i	−0.861540	+	0.994270i	0.138452	+	0.990369i	$0.455787\pi$
$193$	−11.9689	+	13.8128i	−0.861540	+	0.994270i	−0.999992	+	0.00390099i	$0.998758\pi$
$194$	5.34957	−	3.43796i	0.384076	−	0.246831i
$195$	−0.689170	−	4.79328i	−0.0493525	−	0.343254i
$196$	−0.142315	−	0.989821i	−0.0101653	−	0.0707015i
$197$	2.67810	−	1.72111i	0.190807	−	0.122624i	−0.441750	−	0.897138i	$-0.645642\pi$
$197$	2.67810	−	1.72111i	0.190807	−	0.122624i	0.632556	+	0.774514i	$0.282006\pi$
$198$	0.164636	−	0.190001i	0.0117002	−	0.0135028i
$199$	3.13820	−	6.87169i	0.222461	−	0.487121i	−0.765188	−	0.643807i	$-0.777354\pi$
$199$	3.13820	−	6.87169i	0.222461	−	0.487121i	0.987648	+	0.156686i	$0.0500811\pi$
$200$	−10.9675	−	7.04840i	−0.775521	−	0.498397i
$201$	−6.59866	+	1.93754i	−0.465433	+	0.136664i
$202$	12.4357	+	14.3515i	0.874969	+	1.00977i
$203$	4.48827	+	1.31788i	0.315015	+	0.0924967i
$204$	−1.61009	−	3.52560i	−0.112729	−	0.246841i
$205$	0.211342	−	1.46992i	0.0147608	−	0.102663i
$206$	−13.6876			−0.953661
$207$	0.666865	−	4.74924i	0.0463503	−	0.330095i
$208$	1.14023			0.0790608
$209$	−0.113710	+	0.790868i	−0.00786546	+	0.0547055i
$210$	1.76427	+	3.86322i	0.121746	+	0.266587i
$211$	−19.7044	−	5.78575i	−1.35651	−	0.398307i	−0.478979	−	0.877826i	$-0.658993\pi$
$211$	−19.7044	−	5.78575i	−1.35651	−	0.398307i	−0.877531	+	0.479519i	$0.840811\pi$
$212$	8.28187	+	9.55779i	0.568801	+	0.656431i
$213$	10.6141	−	3.11659i	0.727268	−	0.213545i
$214$	−12.5172	−	8.04432i	−0.855658	−	0.549898i
$215$	−16.7515	+	36.6807i	−1.14245	+	2.50161i
$216$	0.654861	−	0.755750i	0.0445576	−	0.0514222i
$217$	8.48035	−	5.44999i	0.575684	−	0.369969i
$218$	1.31753	+	9.16365i	0.0892347	+	0.620641i
$219$	−0.140974	−	0.980495i	−0.00952613	−	0.0662557i
$220$	0.898230	−	0.577257i	0.0605587	−	0.0389187i
$221$	2.89407	−	3.33993i	0.194676	−	0.224668i
$222$	−4.71707	+	10.3290i	−0.316589	+	0.693234i
$223$	7.65835	+	4.92172i	0.512841	+	0.329583i	0.771334	−	0.636430i	$-0.219590\pi$
$223$	7.65835	+	4.92172i	0.512841	+	0.329583i	−0.258493	+	0.966013i	$0.583226\pi$
$224$	−0.959493	+	0.281733i	−0.0641088	+	0.0188240i
$225$	−8.53749	−	9.85279i	−0.569166	−	0.656853i
$226$	−4.83243	−	1.41893i	−0.321449	−	0.0943859i
$227$	3.50078	+	7.66565i	0.232355	+	0.508787i	0.989513	−	0.144445i	$-0.0461398\pi$
$227$	3.50078	+	7.66565i	0.232355	+	0.508787i	−0.757158	+	0.653232i	$0.773413\pi$
$228$	−0.452293	+	3.14577i	−0.0299539	+	0.208334i
$229$	−0.0283588			−0.00187400			−0.000937000	−	1.00000i	$-0.500298\pi$
$229$	−0.0283588			−0.00187400			−0.000937000		1.00000i	$0.500298\pi$
$230$	8.40003	−	18.5551i	0.553882	−	1.22349i
$231$	−0.251407			−0.0165414
$232$	0.665714	−	4.63014i	0.0437063	−	0.303984i
$233$	−10.5487	−	23.0984i	−0.691067	−	1.51322i	−0.850477	−	0.526012i	$-0.823687\pi$
$233$	−10.5487	−	23.0984i	−0.691067	−	1.51322i	0.159410	−	0.987212i	$-0.449041\pi$
$234$	1.09404	+	0.321240i	0.0715199	+	0.0210001i
$235$	−25.0299	−	28.8861i	−1.63277	−	1.88432i
$236$	−10.9894	+	3.22679i	−0.715352	+	0.210046i
$237$	4.71198	+	3.02821i	0.306076	+	0.196703i
$238$	−1.61009	+	3.52560i	−0.104366	+	0.228531i
$239$	−11.3776	+	13.1305i	−0.735956	+	0.849339i	−0.993129	−	0.117027i	$-0.962664\pi$
$239$	−11.3776	+	13.1305i	−0.735956	+	0.849339i	0.257172	+	0.966366i	$0.417209\pi$
$240$	3.57281	−	2.29611i	0.230624	−	0.148213i
$241$	−1.13106	−	7.86668i	−0.0728578	−	0.506737i	−0.993273	−	0.115795i	$-0.963058\pi$
$241$	−1.13106	−	7.86668i	−0.0728578	−	0.506737i	0.920415	−	0.390942i	$-0.127851\pi$
$242$	−1.55647	−	10.8255i	−0.100054	−	0.695888i
$243$	0.841254	−	0.540641i	0.0539664	−	0.0346821i
$244$	3.94423	−	4.55188i	0.252503	−	0.291404i
$245$	1.76427	−	3.86322i	0.112715	−	0.246812i
$246$	0.294157	+	0.189043i	0.0187548	+	0.0120530i
$247$	−3.47700	+	1.02094i	−0.221236	+	0.0649608i
$248$	−6.60140	−	7.61842i	−0.419189	−	0.483770i
$249$	−8.38727	−	2.46272i	−0.531521	−	0.156069i
$250$	−14.1797	−	31.0491i	−0.896800	−	1.96372i
$251$	1.95010	−	13.5633i	0.123089	−	0.856106i	−0.830933	−	0.556372i	$-0.812193\pi$
$251$	1.95010	−	13.5633i	0.123089	−	0.856106i	0.954023	−	0.299734i	$-0.0968979\pi$
$252$	−1.00000			−0.0629941
$253$	0.792569	+	0.908603i	0.0498284	+	0.0571234i
$254$	−4.68203			−0.293776
$255$	2.34261	−	16.2932i	0.146700	−	1.02032i
$256$	0.415415	+	0.909632i	0.0259634	+	0.0568520i
$257$	24.8530	+	7.29749i	1.55029	+	0.455205i	0.941186	−	0.337889i	$-0.109713\pi$
$257$	24.8530	+	7.29749i	1.55029	+	0.455205i	0.609099	+	0.793094i	$0.291531\pi$
$258$	−6.21782	−	7.17574i	−0.387104	−	0.446742i
$259$	10.8951	−	3.19910i	0.676990	−	0.198782i
$260$	4.07383	+	2.61809i	0.252648	+	0.162367i
$261$	1.94321	−	4.25503i	0.120282	−	0.263380i
$262$	−1.05073	+	1.21261i	−0.0649143	+	0.0749151i
$263$	0.437082	−	0.280896i	0.0269516	−	0.0173208i	−0.527096	−	0.849806i	$-0.676719\pi$
$263$	0.437082	−	0.280896i	0.0269516	−	0.0173208i	0.554047	+	0.832485i	$0.313083\pi$
$264$	0.0357789	+	0.248848i	0.00220204	+	0.0153155i
$265$	7.64387	+	53.1643i	0.469559	+	3.26585i
$266$	2.67360	−	1.71822i	0.163929	−	0.105351i
$267$	1.73018	−	1.99674i	0.105885	−	0.122198i
$268$	2.85691	−	6.25575i	0.174513	−	0.382131i
$269$	−21.1927	−	13.6197i	−1.29214	−	0.830409i	−0.299808	−	0.954000i	$-0.596923\pi$
$269$	−21.1927	−	13.6197i	−1.29214	−	0.830409i	−0.992333	+	0.123591i	$0.960559\pi$
$270$	4.07498	−	1.19652i	0.247995	−	0.0728180i
$271$	−5.39392	−	6.22492i	−0.327657	−	0.378137i	0.567889	−	0.823105i	$-0.307760\pi$
$271$	−5.39392	−	6.22492i	−0.327657	−	0.378137i	−0.895546	+	0.444969i	$0.853215\pi$
$272$	3.71885	+	1.09195i	0.225489	+	0.0662094i
$273$	−0.473669	−	1.03719i	−0.0286678	−	0.0627736i
$274$	−1.48444	+	10.3245i	−0.0896783	+	0.623726i
$275$	3.27762			0.197648
$276$	3.15253	+	3.61407i	0.189760	+	0.217542i
$277$	1.30121			0.0781822			0.0390911	−	0.999236i	$-0.487554\pi$
$277$	1.30121			0.0781822			0.0390911	+	0.999236i	$0.487554\pi$
$278$	0.0712191	−	0.495339i	0.00427144	−	0.0297085i
$279$	−4.18764	−	9.16964i	−0.250707	−	0.548972i
$280$	−4.07498	−	1.19652i	−0.243527	−	0.0715058i
$281$	6.97169	+	8.04576i	0.415896	+	0.479970i	0.924582	−	0.380982i	$-0.124414\pi$
$281$	6.97169	+	8.04576i	0.415896	+	0.479970i	−0.508686	+	0.860952i	$0.669869\pi$
$282$	8.63513	−	2.53550i	0.514215	−	0.150987i
$283$	7.96990	+	5.12195i	0.473762	+	0.304468i	0.755646	−	0.654980i	$-0.227323\pi$
$283$	7.96990	+	5.12195i	0.473762	+	0.304468i	−0.281884	+	0.959448i	$0.590959\pi$
$284$	−4.59542	+	10.0626i	−0.272688	+	0.597103i
$285$	−8.83898	+	10.2007i	−0.523576	+	0.604239i
$286$	−0.241155	+	0.154981i	−0.0142598	+	0.00916423i
$287$	−0.0497626	−	0.346106i	−0.00293739	−	0.0204300i
$288$	0.142315	+	0.989821i	0.00838598	+	0.0583258i
$289$	−1.66381	+	1.06927i	−0.0978711	+	0.0628980i
$290$	13.0098	−	15.0141i	0.763960	−	0.881657i
$291$	−2.64164	+	5.78439i	−0.154856	+	0.339087i
$292$	0.833327	+	0.535546i	0.0487667	+	0.0313405i
$293$	12.1866	−	3.57831i	0.711948	−	0.209047i	0.0943482	−	0.995539i	$-0.469923\pi$
$293$	12.1866	−	3.57831i	0.711948	−	0.209047i	0.617600	+	0.786492i	$0.288105\pi$
$294$	0.654861	+	0.755750i	0.0381923	+	0.0440762i
$295$	−46.6723	−	13.7042i	−2.71737	−	0.797891i
$296$	−4.71707	−	10.3290i	−0.274174	−	0.600358i
$297$	−0.0357789	+	0.248848i	−0.00207610	+	0.0144396i
$298$	−8.04330			−0.465936
$299$	−2.25523	+	4.98165i	−0.130423	+	0.288096i
$300$	13.0371			0.752698
$301$	−1.35126	+	9.39822i	−0.0778854	+	0.541705i
$302$	0.758912	+	1.66179i	0.0436705	+	0.0956250i
$303$	−18.2205	−	5.35004i	−1.04674	−	0.307351i
$304$	−2.08122	−	2.40186i	−0.119366	−	0.137756i
$305$	24.5436	−	7.20665i	1.40536	−	0.412652i
$306$	3.26057	+	2.09544i	0.186395	+	0.119789i
$307$	10.2874	−	22.5264i	0.587136	−	1.28565i	−0.350022	−	0.936742i	$-0.613826\pi$
$307$	10.2874	−	22.5264i	0.587136	−	1.28565i	0.937158	−	0.348906i	$-0.113447\pi$
$308$	0.164636	−	0.190001i	0.00938104	−	0.0108263i
$309$	11.5147	−	7.40008i	0.655051	−	0.420976i
$310$	−6.09285	−	42.3767i	−0.346051	−	2.40683i
$311$	−3.55618	−	24.7338i	−0.201652	−	1.40252i	−0.799381	−	0.600825i	$-0.794839\pi$
$311$	−3.55618	−	24.7338i	−0.201652	−	1.40252i	0.597728	−	0.801699i	$-0.296070\pi$
$312$	−0.959223	+	0.616455i	−0.0543053	+	0.0348999i
$313$	−1.08918	+	1.25698i	−0.0615639	+	0.0710485i	−0.785696	−	0.618613i	$-0.787695\pi$
$313$	−1.08918	+	1.25698i	−0.0615639	+	0.0710485i	0.724132	+	0.689661i	$0.242241\pi$
$314$	−3.64325	+	7.97761i	−0.205601	+	0.450203i
$315$	−3.57281	−	2.29611i	−0.201305	−	0.129371i
$316$	−5.37426	+	1.57803i	−0.302326	+	0.0887709i
$317$	−13.2694	−	15.3137i	−0.745282	−	0.860101i	0.248820	−	0.968550i	$-0.419957\pi$
$317$	−13.2694	−	15.3137i	−0.745282	−	0.860101i	−0.994102	+	0.108449i	$0.965412\pi$
$318$	−12.1345	−	3.56300i	−0.680468	−	0.199803i
$319$	0.488536	+	1.06974i	0.0273528	+	0.0598942i
$320$	−0.604413	+	4.20378i	−0.0337877	+	0.234999i
$321$	14.8792			0.830478
$322$	0.666865	−	4.74924i	0.0371629	−	0.264665i
$323$	−12.3179			−0.685387
$324$	−0.142315	+	0.989821i	−0.00790638	+	0.0549901i
$325$	6.17528	+	13.5220i	0.342543	+	0.750064i
$326$	−8.23108	−	2.41686i	−0.455877	−	0.133858i
$327$	−6.06262	−	6.99664i	−0.335264	−	0.386915i
$328$	−0.335501	+	0.0985121i	−0.0185250	+	0.00543942i
$329$	−7.57102	−	4.86560i	−0.417404	−	0.268249i
$330$	−0.443550	+	0.971240i	−0.0244166	+	0.0534650i
$331$	−9.96880	+	11.5046i	−0.547935	+	0.632351i	−0.960401	−	0.278622i	$-0.910122\pi$
$331$	−9.96880	+	11.5046i	−0.547935	+	0.632351i	0.412466	+	0.910973i	$0.364668\pi$
$332$	7.35369	−	4.72593i	0.403586	−	0.259369i
$333$	−1.61600	−	11.2395i	−0.0885561	−	0.615921i
$334$	2.78758	+	19.3881i	0.152530	+	1.06087i
$335$	24.5711	−	15.7909i	1.34246	−	0.862747i
$336$	0.654861	−	0.755750i	0.0357256	−	0.0412295i
$337$	4.56843	−	10.0035i	0.248858	−	0.544923i	−0.743439	−	0.668804i	$-0.766807\pi$
$337$	4.56843	−	10.0035i	0.248858	−	0.544923i	0.992297	+	0.123881i	$0.0395340\pi$
$338$	9.84256	+	6.32543i	0.535365	+	0.344058i
$339$	4.83243	−	1.41893i	0.262462	−	0.0770657i
$340$	10.7795	+	12.4402i	0.584602	+	0.674666i
$341$	2.43168	+	0.714005i	0.131683	+	0.0386655i
$342$	−1.32024	−	2.89092i	−0.0713903	−	0.156323i
$343$	0.142315	−	0.989821i	0.00768428	−	0.0534453i
$344$	9.49487			0.511929
$345$	2.96511	+	20.1510i	0.159636	+	1.08489i
$346$	18.4557			0.992187
$347$	−2.52394	+	17.5544i	−0.135492	+	0.942368i	0.802732	+	0.596340i	$0.203379\pi$
$347$	−2.52394	+	17.5544i	−0.135492	+	0.942368i	−0.938224	+	0.346028i	$0.887530\pi$
$348$	1.94321	+	4.25503i	0.104167	+	0.228094i
$349$	−5.54627	−	1.62853i	−0.296885	−	0.0871734i	0.129898	−	0.991527i	$-0.458535\pi$
$349$	−5.54627	−	1.62853i	−0.296885	−	0.0871734i	−0.426783	+	0.904354i	$0.640353\pi$
$350$	−8.53749	−	9.85279i	−0.456348	−	0.526654i
$351$	−1.09404	+	0.321240i	−0.0583957	+	0.0171465i
$352$	−0.211497	−	0.135921i	−0.0112728	−	0.00724460i
$353$	1.49903	−	3.28242i	0.0797854	−	0.174706i	−0.865535	−	0.500848i	$-0.833022\pi$
$353$	1.49903	−	3.28242i	0.0797854	−	0.174706i	0.945321	+	0.326142i	$0.105749\pi$
$354$	7.50038	−	8.65590i	0.398640	−	0.460056i
$355$	−39.5233	+	25.4001i	−2.09768	+	1.34810i
$356$	0.376004	+	2.61517i	0.0199282	+	0.138604i
$357$	−0.551591	−	3.83640i	−0.0291933	−	0.203044i
$358$	−8.52593	+	5.47928i	−0.450609	+	0.289589i
$359$	−3.23691	+	3.73559i	−0.170838	+	0.197157i	−0.834712	−	0.550687i	$-0.814366\pi$
$359$	−3.23691	+	3.73559i	−0.170838	+	0.197157i	0.663874	+	0.747844i	$0.268911\pi$
$360$	−1.76427	+	3.86322i	−0.0929853	+	0.203609i
$361$	−7.48680	−	4.81147i	−0.394042	−	0.253235i
$362$	−13.8813	+	4.07593i	−0.729587	+	0.214226i
$363$	7.16208	+	8.26548i	0.375912	+	0.433825i
$364$	1.09404	+	0.321240i	0.0573435	+	0.0168376i
$365$	1.74765	+	3.82682i	0.0914761	+	0.200305i
$366$	−0.857162	+	5.96170i	−0.0448046	+	0.311623i
$367$	4.11740			0.214926			0.107463	−	0.994209i	$-0.465727\pi$
$367$	4.11740			0.214926			0.107463	+	0.994209i	$0.465727\pi$
$368$	−4.79581	+	0.0158103i	−0.249999	+	0.000824168i
$369$	−0.349665			−0.0182029
$370$	6.86316	−	47.7343i	0.356799	−	2.48159i
$371$	5.25366	+	11.5039i	0.272756	+	0.597253i
$372$	9.67227	+	2.84004i	0.501484	+	0.147249i
$373$	12.4322	+	14.3475i	0.643713	+	0.742885i	0.980027	−	0.198865i	$-0.0637257\pi$
$373$	12.4322	+	14.3475i	0.643713	+	0.742885i	−0.336314	+	0.941750i	$0.609180\pi$
$374$	−0.934945	+	0.274525i	−0.0483449	+	0.0141953i
$375$	28.7151	+	18.4541i	1.48284	+	0.952965i
$376$	−3.73860	+	8.18640i	−0.192804	+	0.422181i
$377$	−3.49284	+	4.03096i	−0.179891	+	0.207605i
$378$	0.841254	−	0.540641i	0.0432694	−	0.0278076i
$379$	2.07346	+	14.4212i	0.106507	+	0.740770i	0.971165	+	0.238409i	$0.0766259\pi$
$379$	2.07346	+	14.4212i	0.106507	+	0.740770i	−0.864658	+	0.502361i	$0.832465\pi$
$380$	−1.92089	−	13.3601i	−0.0985398	−	0.685360i
$381$	3.93877	−	2.53129i	0.201789	−	0.129682i
$382$	1.13641	−	1.31149i	0.0581440	−	0.0671018i
$383$	−5.96971	+	13.0718i	−0.305038	+	0.667939i	−0.998624	−	0.0524338i	$-0.983302\pi$
$383$	−5.96971	+	13.0718i	−0.305038	+	0.667939i	0.693587	+	0.720373i	$0.256029\pi$
$384$	−0.841254	−	0.540641i	−0.0429300	−	0.0275895i
$385$	1.02448	−	0.300814i	0.0522122	−	0.0153309i
$386$	11.9689	+	13.8128i	0.609201	+	0.703055i
$387$	9.11026	+	2.67501i	0.463100	+	0.135979i
$388$	−2.64164	−	5.78439i	−0.134109	−	0.293658i
$389$	−0.862804	+	6.00093i	−0.0437459	+	0.304259i	0.956188	+	0.292754i	$0.0945716\pi$
$389$	−0.862804	+	6.00093i	−0.0437459	+	0.304259i	−0.999934	+	0.0115057i	$0.996338\pi$
$390$	−4.84257			−0.245213
$391$	−12.1261	+	14.0879i	−0.613245	+	0.712454i
$392$	−1.00000			−0.0505076
$393$	0.228345	−	1.58818i	0.0115185	−	0.0801129i
$394$	−1.32246	−	2.89578i	−0.0666246	−	0.145887i
$395$	−22.8246	−	6.70189i	−1.14843	−	0.337209i
$396$	−0.164636	−	0.190001i	−0.00827330	−	0.00954789i
$397$	15.9451	−	4.68189i	0.800260	−	0.234977i	0.144064	−	0.989568i	$-0.453983\pi$
$397$	15.9451	−	4.68189i	0.800260	−	0.234977i	0.656196	+	0.754591i	$0.272165\pi$
$398$	−6.35514	−	4.08420i	−0.318554	−	0.204722i
$399$	−1.32024	+	2.89092i	−0.0660945	+	0.144727i
$400$	−8.53749	+	9.85279i	−0.426875	+	0.492640i
$401$	−14.9303	+	9.59515i	−0.745586	+	0.479159i	−0.857452	−	0.514564i	$-0.827954\pi$
$401$	−14.9303	+	9.59515i	−0.745586	+	0.479159i	0.111866	+	0.993723i	$0.464317\pi$
$402$	0.978732	+	6.80723i	0.0488147	+	0.339514i
$403$	1.63580	+	11.3772i	0.0814849	+	0.566740i
$404$	15.9752	−	10.2666i	0.794796	−	0.510785i
$405$	−2.78120	+	3.20968i	−0.138199	+	0.159490i
$406$	1.94321	−	4.25503i	0.0964399	−	0.211174i
$407$	2.40157	+	1.54339i	0.119041	+	0.0765032i
$408$	−3.71885	+	1.09195i	−0.184111	+	0.0540598i
$409$	−14.4480	−	16.6739i	−0.714408	−	0.824471i	0.276215	−	0.961096i	$-0.410920\pi$
$409$	−14.4480	−	16.6739i	−0.714408	−	0.824471i	−0.990623	+	0.136625i	$0.956375\pi$
$410$	−1.42488	−	0.418382i	−0.0703697	−	0.0206624i
$411$	−4.33306	−	9.48808i	−0.213734	−	0.468012i
$412$	−1.94795	+	13.5483i	−0.0959686	+	0.667476i
$413$	−11.4534			−0.563585
$414$	−4.60600	−	1.33596i	−0.226372	−	0.0656591i
$415$	37.1246			1.82238
$416$	0.162272	−	1.12863i	0.00795603	−	0.0553354i
$417$	0.207887	+	0.455210i	0.0101803	+	0.0222917i
$418$	0.766635	+	0.225104i	0.0374974	+	0.0110102i
$419$	5.53561	+	6.38844i	0.270432	+	0.312096i	0.874680	−	0.484701i	$-0.161072\pi$
$419$	5.53561	+	6.38844i	0.270432	+	0.312096i	−0.604247	+	0.796797i	$0.706526\pi$
$420$	4.07498	−	1.19652i	0.198839	−	0.0583843i
$421$	22.9186	+	14.7289i	1.11698	+	0.717842i	0.962804	−	0.270201i	$-0.0870900\pi$
$421$	22.9186	+	14.7289i	1.11698	+	0.717842i	0.154180	+	0.988043i	$0.450726\pi$
$422$	−8.53109	+	18.6805i	−0.415287	+	0.909352i
$423$	−5.89354	+	6.80151i	−0.286554	+	0.330701i
$424$	10.6391	−	6.83736i	0.516682	−	0.332051i
$425$	7.19116	+	50.0156i	0.348822	+	2.42611i
$426$	−1.57432	−	10.9496i	−0.0762760	−	0.530511i
$427$	5.06687	−	3.25628i	0.245203	−	0.157582i
$428$	−9.74382	+	11.2450i	−0.470985	+	0.543546i
$429$	0.119084	−	0.260757i	0.00574941	−	0.0125895i
$430$	33.9234	+	21.8012i	1.63593	+	1.05135i
$431$	−20.8245	+	6.11463i	−1.00308	+	0.294531i	−0.741720	−	0.670710i	$-0.765990\pi$
$431$	−20.8245	+	6.11463i	−1.00308	+	0.294531i	−0.261361	+	0.965241i	$0.584171\pi$
$432$	−0.654861	−	0.755750i	−0.0315070	−	0.0363610i
$433$	12.2814	+	3.60613i	0.590205	+	0.173300i	0.563179	−	0.826335i	$-0.309578\pi$
$433$	12.2814	+	3.60613i	0.590205	+	0.173300i	0.0270257	+	0.999635i	$0.491396\pi$
$434$	−4.18764	−	9.16964i	−0.201013	−	0.440157i
$435$	−2.82729	+	19.6643i	−0.135558	+	0.942829i
$436$	9.25788			0.443372
$437$	14.6101	−	4.34228i	0.698895	−	0.207719i
$438$	−0.990577			−0.0473316
$439$	1.26444	−	8.79437i	0.0603484	−	0.419732i	−0.937143	−	0.348945i	$-0.886540\pi$
$439$	1.26444	−	8.79437i	0.0603484	−	0.419732i	0.997491	−	0.0707869i	$-0.0225510\pi$
$440$	−0.443550	−	0.971240i	−0.0211454	−	0.0463020i
$441$	−0.959493	−	0.281733i	−0.0456901	−	0.0134158i
$442$	−2.89407	−	3.33993i	−0.137657	−	0.158864i
$443$	−25.2918	+	7.42633i	−1.20165	+	0.352836i	−0.820483	−	0.571671i	$-0.806295\pi$
$443$	−25.2918	+	7.42633i	−1.20165	+	0.352836i	−0.381165	+	0.924507i	$0.624477\pi$
$444$	9.55251	+	6.13902i	0.453342	+	0.291345i
$445$	−4.66131	+	10.2069i	−0.220967	+	0.483851i
$446$	5.96152	−	6.87996i	0.282286	−	0.325776i
$447$	6.76645	−	4.34854i	0.320042	−	0.205679i
$448$	0.142315	+	0.989821i	0.00672374	+	0.0467647i
$449$	3.06970	+	21.3502i	0.144868	+	1.00758i	0.924456	+	0.381288i	$0.124519\pi$
$449$	3.06970	+	21.3502i	0.144868	+	1.00758i	−0.779588	+	0.626293i	$0.784572\pi$
$450$	−10.9675	+	7.04840i	−0.517014	+	0.332265i
$451$	0.0575677	−	0.0664366i	0.00271076	−	0.00312838i
$452$	−2.09222	+	4.58131i	−0.0984095	+	0.215487i
$453$	−1.53687	−	0.987684i	−0.0722083	−	0.0464055i
$454$	8.08584	−	2.37422i	0.379487	−	0.111427i
$455$	3.17121	+	3.65977i	0.148669	+	0.171573i
$456$	3.04938	+	0.895379i	0.142800	+	0.0419300i
$457$	16.1837	+	35.4373i	0.757039	+	1.65768i	0.753287	+	0.657692i	$0.228467\pi$
$457$	16.1837	+	35.4373i	0.757039	+	1.65768i	0.00375201	+	0.999993i	$0.498806\pi$
$458$	−0.00403587	+	0.0280701i	−0.000188584	+	0.00131163i
$459$	−3.87585			−0.180909
$460$	−17.1708	−	10.9552i	−0.800594	−	0.510789i
$461$	−8.59932			−0.400510			−0.200255	−	0.979744i	$-0.564177\pi$
$461$	−8.59932			−0.400510			−0.200255	+	0.979744i	$0.564177\pi$
$462$	−0.0357789	+	0.248848i	−0.00166459	+	0.0115775i
$463$	−10.3096	−	22.5748i	−0.479127	−	1.04914i	−0.982703	−	0.185190i	$-0.940710\pi$
$463$	−10.3096	−	22.5748i	−0.479127	−	1.04914i	0.503576	−	0.863951i	$-0.332017\pi$
$464$	−4.48827	−	1.31788i	−0.208363	−	0.0611808i
$465$	28.0362	+	32.3555i	1.30015	+	1.50045i
$466$	−24.3645	+	7.15406i	−1.12866	+	0.331406i
$467$	−1.79240	−	1.15191i	−0.0829426	−	0.0533040i	0.498512	−	0.866883i	$-0.333880\pi$
$467$	−1.79240	−	1.15191i	−0.0829426	−	0.0533040i	−0.581455	+	0.813579i	$0.697516\pi$
$468$	0.473669	−	1.03719i	0.0218954	−	0.0479442i
$469$	4.50363	−	5.19747i	0.207958	−	0.239997i
$470$	−32.1542	+	20.6643i	−1.48316	+	0.953171i
$471$	−1.24812	−	8.68088i	−0.0575105	−	0.399994i
$472$	1.62999	+	11.3368i	0.0750263	+	0.521819i
$473$	−2.00814	+	1.29055i	−0.0923342	+	0.0593396i
$474$	3.66797	−	4.23306i	0.168475	−	0.194431i
$475$	17.2121	−	37.6892i	0.789745	−	1.72930i
$476$	3.26057	+	2.09544i	0.149448	+	0.0960445i
$477$	12.1345	−	3.56300i	0.555600	−	0.163139i
$478$	11.3776	+	13.1305i	0.520400	+	0.600573i
$479$	−3.08350	−	0.905399i	−0.140889	−	0.0413687i	0.210528	−	0.977588i	$-0.432482\pi$
$479$	−3.08350	−	0.905399i	−0.140889	−	0.0413687i	−0.351417	+	0.936219i	$0.614300\pi$
$480$	−1.76427	−	3.86322i	−0.0805277	−	0.176331i
$481$	−1.84261	+	12.8156i	−0.0840158	+	0.584343i
$482$	−7.94757			−0.362002
$483$	2.00663	+	4.35585i	0.0913049	+	0.198198i
$484$	−10.9368			−0.497127
$485$	3.84349	−	26.7320i	0.174524	−	1.21384i
$486$	−0.415415	−	0.909632i	−0.0188436	−	0.0412617i
$487$	34.8045	+	10.2195i	1.57714	+	0.463091i	0.949071	−	0.315063i	$-0.102026\pi$
$487$	34.8045	+	10.2195i	1.57714	+	0.463091i	0.628073	+	0.778154i	$0.283844\pi$
$488$	−3.94423	−	4.55188i	−0.178547	−	0.206054i
$489$	8.23108	−	2.41686i	0.372222	−	0.109294i
$490$	−3.57281	−	2.29611i	−0.161403	−	0.103728i
$491$	7.22740	−	15.8258i	0.326168	−	0.714208i	−0.673521	−	0.739169i	$-0.735219\pi$
$491$	7.22740	−	15.8258i	0.326168	−	0.714208i	0.999688	+	0.0249604i	$0.00794597\pi$
$492$	0.228982	−	0.264259i	0.0103233	−	0.0119137i
$493$	−15.2522	+	9.80197i	−0.686923	+	0.441458i
$494$	0.515719	+	3.58690i	0.0232033	+	0.161382i
$495$	−0.151954	−	1.05686i	−0.00682980	−	0.0475023i
$496$	−8.48035	+	5.44999i	−0.380779	+	0.244712i
$497$	−7.24422	+	8.36028i	−0.324948	+	0.375010i
$498$	−3.63129	+	7.95142i	−0.162722	+	0.356311i
$499$	18.8874	+	12.1382i	0.845515	+	0.543379i	0.890173	−	0.455623i	$-0.150583\pi$
$499$	18.8874	+	12.1382i	0.845515	+	0.543379i	−0.0446580	+	0.999002i	$0.514220\pi$
$500$	−32.7511	+	9.61658i	−1.46467	+	0.430067i
$501$	−12.8270	−	14.8032i	−0.573070	−	0.661358i
$502$	−13.1477	−	3.86051i	−0.586810	−	0.172303i
$503$	−0.767848	−	1.68135i	−0.0342366	−	0.0749678i	0.891741	−	0.452546i	$-0.149484\pi$
$503$	−0.767848	−	1.68135i	−0.0342366	−	0.0749678i	−0.925978	+	0.377578i	$0.876757\pi$
$504$	−0.142315	+	0.989821i	−0.00633921	+	0.0440902i
$505$	80.6498			3.58887
$506$	1.01215	−	0.655194i	0.0449955	−	0.0291269i
$507$	−11.6999			−0.519610
$508$	−0.666322	+	4.63437i	−0.0295632	+	0.205617i
$509$	−4.72158	−	10.3388i	−0.209281	−	0.458260i	0.775661	−	0.631150i	$-0.217417\pi$
$509$	−4.72158	−	10.3388i	−0.209281	−	0.458260i	−0.984941	+	0.172890i	$0.944690\pi$
$510$	−15.7940	−	4.63754i	−0.699371	−	0.205354i
$511$	0.648690	+	0.748628i	0.0286964	+	0.0331174i
$512$	0.959493	−	0.281733i	0.0424040	−	0.0124509i
$513$	2.67360	+	1.71822i	0.118042	+	0.0758613i
$514$	10.7602	−	23.5615i	0.474610	−	1.03925i
$515$	−38.0680	+	43.9328i	−1.67748	+	1.93591i
$516$	−7.98759	+	5.13331i	−0.351634	+	0.225982i
$517$	−0.321999	−	2.23955i	−0.0141615	−	0.0984954i
$518$	−1.61600	−	11.2395i	−0.0710029	−	0.493836i
$519$	−15.5260	+	9.97793i	−0.681514	+	0.437982i
$520$	3.17121	−	3.65977i	0.139067	−	0.160492i
$521$	−4.61274	+	10.1005i	−0.202088	+	0.442511i	−0.983357	−	0.181683i	$-0.941845\pi$
$521$	−4.61274	+	10.1005i	−0.202088	+	0.442511i	0.781269	+	0.624194i	$0.214573\pi$
$522$	−3.93518	−	2.52898i	−0.172238	−	0.110691i
$523$	9.51290	−	2.79324i	0.415970	−	0.122140i	−0.0670489	−	0.997750i	$-0.521358\pi$
$523$	9.51290	−	2.79324i	0.415970	−	0.122140i	0.483019	+	0.875610i	$0.339540\pi$
$524$	1.05073	+	1.21261i	0.0459013	+	0.0529730i
$525$	12.5090	+	3.67298i	0.545938	+	0.160302i
$526$	−0.215833	−	0.472609i	−0.00941077	−	0.0206067i
$527$	−5.56038	+	38.6733i	−0.242214	+	1.68463i
$528$	0.251407			0.0109411
$529$	9.41640	−	20.9841i	0.409409	−	0.912351i
$530$	53.7110			2.33305
$531$	−1.62999	+	11.3368i	−0.0707354	+	0.491976i
$532$	−1.32024	−	2.89092i	−0.0572396	−	0.125337i
$533$	0.382549	+	0.112327i	0.0165700	+	0.00486540i
$534$	−1.73018	−	1.99674i	−0.0748723	−	0.0864072i
$535$	−60.6325	+	17.8033i	−2.62137	+	0.769705i
$536$	−5.78550	−	3.71811i	−0.249895	−	0.160598i
$537$	4.21015	−	9.21893i	0.181681	−	0.397826i
$538$	−16.4971	+	19.0387i	−0.711241	+	0.820816i
$539$	0.211497	−	0.135921i	0.00910982	−	0.00585452i
$540$	−0.604413	−	4.20378i	−0.0260098	−	0.180902i
$541$	2.51377	+	17.4836i	0.108075	+	0.751681i	0.969729	+	0.244184i	$0.0785200\pi$
$541$	2.51377	+	17.4836i	0.108075	+	0.751681i	−0.861654	+	0.507497i	$0.830571\pi$
$542$	−6.92919	+	4.45312i	−0.297634	+	0.191278i
$543$	9.47411	−	10.9337i	0.406573	−	0.469210i
$544$	1.61009	−	3.52560i	0.0690319	−	0.151159i
$545$	33.0767	+	21.2571i	1.41685	+	0.910554i
$546$	−1.09404	+	0.321240i	−0.0468207	+	0.0137478i
$547$	12.0134	+	13.8642i	0.513657	+	0.592792i	0.952031	−	0.306000i	$-0.0989909\pi$
$547$	12.0134	+	13.8642i	0.513657	+	0.592792i	−0.438374	+	0.898793i	$0.644445\pi$
$548$	10.0082	+	2.93866i	0.427527	+	0.125533i
$549$	−2.50204	−	5.47871i	−0.106785	−	0.233826i
$550$	0.466454	−	3.24426i	0.0198897	−	0.138336i
$551$	14.8664			0.633332
$552$	4.02594	−	2.60611i	0.171355	−	0.110923i
$553$	−5.60115			−0.238185
$554$	0.185182	−	1.28797i	0.00786762	−	0.0547205i
$555$	20.0335	+	43.8672i	0.850374	+	1.86206i
$556$	−0.480162	−	0.140988i	−0.0203634	−	0.00597924i
$557$	−15.1263	−	17.4566i	−0.640920	−	0.739662i	0.338617	−	0.940924i	$-0.390041\pi$
$557$	−15.1263	−	17.4566i	−0.640920	−	0.739662i	−0.979537	+	0.201263i	$0.935495\pi$
$558$	−9.67227	+	2.84004i	−0.409460	+	0.120228i
$559$	−9.10770	−	5.85316i	−0.385215	−	0.247562i
$560$	−1.76427	+	3.86322i	−0.0745541	+	0.163251i
$561$	0.638107	−	0.736414i	0.0269409	−	0.0310914i
$562$	8.95604	−	5.75570i	0.377788	−	0.242790i
$563$	−4.91697	−	34.1983i	−0.207226	−	1.44129i	−0.782156	−	0.623083i	$-0.785880\pi$
$563$	−4.91697	−	34.1983i	−0.207226	−	1.44129i	0.574930	−	0.818202i	$-0.305029\pi$
$564$	−1.28079	−	8.90808i	−0.0539309	−	0.375098i
$565$	−17.9943	+	11.5642i	−0.757025	+	0.486511i
$566$	6.20405	−	7.15985i	0.260776	−	0.300951i
$567$	−0.415415	+	0.909632i	−0.0174458	+	0.0382010i
$568$	9.30614	+	5.98069i	0.390477	+	0.250944i
$569$	22.4436	−	6.59003i	0.940884	−	0.276269i	0.224898	−	0.974382i	$-0.427795\pi$
$569$	22.4436	−	6.59003i	0.940884	−	0.276269i	0.715987	+	0.698114i	$0.245977\pi$
$570$	8.83898	+	10.2007i	0.370224	+	0.427262i
$571$	−7.48752	−	2.19853i	−0.313343	−	0.0920057i	0.121280	−	0.992618i	$-0.461300\pi$
$571$	−7.48752	−	2.19853i	−0.313343	−	0.0920057i	−0.434623	+	0.900613i	$0.643118\pi$
$572$	0.119084	+	0.260757i	0.00497914	+	0.0109028i
$573$	−0.246967	+	1.71769i	−0.0103172	+	0.0717575i
$574$	−0.349665			−0.0145947
$575$	−26.1607	−	56.7877i	−1.09098	−	2.36821i
$576$	1.00000			0.0416667
$577$	0.640192	−	4.45263i	0.0266515	−	0.185365i	−0.972147	−	0.234372i	$-0.924697\pi$
$577$	0.640192	−	4.45263i	0.0266515	−	0.185365i	0.998798	+	0.0490069i	$0.0156056\pi$
$578$	0.821597	+	1.79905i	0.0341739	+	0.0748305i
$579$	−17.5367	−	5.14923i	−0.728799	−	0.213995i
$580$	−13.0098	−	15.0141i	−0.540202	−	0.623426i
$581$	8.38727	−	2.46272i	0.347962	−	0.102171i
$582$	5.34957	+	3.43796i	0.221747	+	0.142508i
$583$	−1.32081	+	2.89216i	−0.0547022	+	0.119781i
$584$	0.648690	−	0.748628i	0.0268430	−	0.0309785i
$585$	4.07383	−	2.61809i	0.168432	−	0.108245i
$586$	−1.80755	−	12.5718i	−0.0746692	−	0.519336i
$587$	−5.65203	−	39.3107i	−0.233284	−	1.62253i	−0.683738	−	0.729727i	$-0.739647\pi$
$587$	−5.65203	−	39.3107i	−0.233284	−	1.62253i	0.450454	−	0.892800i	$-0.351262\pi$
$588$	0.841254	−	0.540641i	0.0346927	−	0.0222957i
$589$	20.9800	−	24.2122i	0.864466	−	0.997647i
$590$	−20.2069	+	44.2469i	−0.831905	+	1.82162i
$591$	2.67810	+	1.72111i	0.110162	+	0.0707971i
$592$	−10.8951	+	3.19910i	−0.447787	+	0.131482i
$593$	10.5444	+	12.1689i	0.433007	+	0.499716i	0.929755	−	0.368178i	$-0.120018\pi$
$593$	10.5444	+	12.1689i	0.433007	+	0.499716i	−0.496749	+	0.867894i	$0.665473\pi$
$594$	0.241223	+	0.0708295i	0.00989751	+	0.00290617i
$595$	6.83806	+	14.9733i	0.280333	+	0.613844i
$596$	−1.14468	+	7.96143i	−0.0468879	+	0.326113i
$597$	7.55437			0.309180
$598$	4.60999	+	2.94123i	0.188517	+	0.120276i
$599$	−23.6765			−0.967397			−0.483698	−	0.875235i	$-0.660707\pi$
$599$	−23.6765			−0.967397			−0.483698	+	0.875235i	$0.660707\pi$
$600$	1.85537	−	12.9044i	0.0757454	−	0.526821i
$601$	17.7592	+	38.8872i	0.724412	+	1.58624i	0.807617	+	0.589708i	$0.200757\pi$
$601$	17.7592	+	38.8872i	0.724412	+	1.58624i	−0.0832048	+	0.996532i	$0.526516\pi$
$602$	9.11026	+	2.67501i	0.371306	+	0.109025i
$603$	−4.50363	−	5.19747i	−0.183402	−	0.211657i
$604$	1.75288	−	0.514691i	0.0713235	−	0.0209425i
$605$	−39.0751	−	25.1121i	−1.58863	−	1.02095i
$606$	−7.88863	+	17.2737i	−0.320454	+	0.701696i
$607$	18.0328	−	20.8110i	0.731929	−	0.844691i	−0.260759	−	0.965404i	$-0.583973\pi$
$607$	18.0328	−	20.8110i	0.731929	−	0.844691i	0.992687	+	0.120713i	$0.0385182\pi$
$608$	−2.67360	+	1.71822i	−0.108429	+	0.0696830i
$609$	0.665714	+	4.63014i	0.0269761	+	0.187623i
$610$	−3.64038	−	25.3194i	−0.147395	−	1.02515i
$611$	8.63271	−	5.54790i	0.349242	−	0.224444i
$612$	2.53814	−	2.92917i	0.102598	−	0.118405i
$613$	−0.302934	+	0.663332i	−0.0122354	+	0.0267917i	−0.915651	−	0.401974i	$-0.868324\pi$
$613$	−0.302934	+	0.663332i	−0.0122354	+	0.0267917i	0.903416	+	0.428766i	$0.141051\pi$
$614$	−20.8330	−	13.3886i	−0.840753	−	0.540319i
$615$	1.42488	−	0.418382i	0.0574567	−	0.0168708i
$616$	−0.164636	−	0.190001i	−0.00663339	−	0.00765534i
$617$	−26.6056	−	7.81210i	−1.07110	−	0.314503i	−0.301787	−	0.953375i	$-0.597583\pi$
$617$	−26.6056	−	7.81210i	−1.07110	−	0.314503i	−0.769313	+	0.638872i	$0.779401\pi$
$618$	−5.68604	−	12.4507i	−0.228726	−	0.500840i
$619$	3.42820	−	23.8437i	0.137791	−	0.958358i	−0.797207	−	0.603706i	$-0.793690\pi$
$619$	3.42820	−	23.8437i	0.137791	−	0.958358i	0.934998	−	0.354652i	$-0.115401\pi$
$620$	−42.8125			−1.71939
$621$	4.59709	−	1.36630i	0.184475	−	0.0548279i
$622$	−24.9881			−1.00193
$623$	−0.376004	+	2.61517i	−0.0150643	+	0.104774i
$624$	0.473669	+	1.03719i	0.0189619	+	0.0415209i
$625$	−76.5491	−	22.4768i	−3.06196	−	0.899073i
$626$	1.08918	+	1.25698i	0.0435323	+	0.0502389i
$627$	−0.766635	+	0.225104i	−0.0306165	+	0.00898981i
$628$	7.37792	+	4.74150i	0.294411	+	0.189207i
$629$	−18.2827	+	40.0335i	−0.728978	+	1.59624i
$630$	−2.78120	+	3.20968i	−0.110806	+	0.127877i
$631$	33.0651	−	21.2497i	1.31630	−	0.845935i	0.321415	−	0.946938i	$-0.395842\pi$
$631$	33.0651	−	21.2497i	1.31630	−	0.845935i	0.994886	+	0.101003i	$0.0322052\pi$
$632$	0.797126	+	5.54414i	0.0317080	+	0.220534i
$633$	−2.92262	−	20.3273i	−0.116164	−	0.807937i
$634$	−17.0462	+	10.9549i	−0.676992	+	0.435076i
$635$	−13.0217	+	15.0278i	−0.516749	+	0.596360i
$636$	−5.25366	+	11.5039i	−0.208321	+	0.456159i
$637$	0.959223	+	0.616455i	0.0380058	+	0.0244249i
$638$	1.12838	−	0.331323i	0.0446731	−	0.0131172i
$639$	7.24422	+	8.36028i	0.286577	+	0.330727i
$640$	4.07498	+	1.19652i	0.161078	+	0.0472967i
$641$	6.60474	+	14.4624i	0.260872	+	0.571229i	0.994065	−	0.108791i	$-0.0346981\pi$
$641$	6.60474	+	14.4624i	0.260872	+	0.571229i	−0.733193	+	0.680021i	$0.761971\pi$
$642$	2.11754	−	14.7278i	0.0835724	−	0.581259i
$643$	−40.6421			−1.60277			−0.801384	−	0.598150i	$-0.795903\pi$
$643$	−40.6421			−1.60277			−0.801384	+	0.598150i	$0.795903\pi$
$644$	−4.60600	−	1.33596i	−0.181502	−	0.0526444i
$645$	−40.3248			−1.58779
$646$	−1.75302	+	12.1925i	−0.0689717	+	0.479709i
$647$	12.4092	+	27.1724i	0.487856	+	1.06826i	0.980228	+	0.197871i	$0.0634028\pi$
$647$	12.4092	+	27.1724i	0.487856	+	1.06826i	−0.492372	+	0.870385i	$0.663870\pi$
$648$	0.959493	+	0.281733i	0.0376924	+	0.0110675i
$649$	−1.88565	−	2.17615i	−0.0740181	−	0.0854214i
$650$	14.2632	−	4.18804i	0.559448	−	0.164269i
$651$	8.48035	+	5.44999i	0.332371	+	0.213602i
$652$	−3.56367	+	7.80335i	−0.139564	+	0.305603i
$653$	−11.4504	+	13.2145i	−0.448090	+	0.517123i	−0.934188	−	0.356781i	$-0.883874\pi$
$653$	−11.4504	+	13.2145i	−0.448090	+	0.517123i	0.486098	+	0.873904i	$0.338420\pi$
$654$	−7.78823	+	5.00519i	−0.304544	+	0.195718i
$655$	0.969785	+	6.74501i	0.0378927	+	0.263549i
$656$	0.0497626	+	0.346106i	0.00194290	+	0.0135132i
$657$	0.833327	−	0.535546i	0.0325112	−	0.0208937i
$658$	−5.89354	+	6.80151i	−0.229754	+	0.265150i
$659$	13.7566	−	30.1228i	0.535881	−	1.17342i	−0.427188	−	0.904163i	$-0.640496\pi$
$659$	13.7566	−	30.1228i	0.535881	−	1.17342i	0.963069	−	0.269253i	$-0.0867769\pi$
$660$	0.898230	+	0.577257i	0.0349636	+	0.0224697i
$661$	18.7128	−	5.49456i	0.727842	−	0.213714i	0.103240	−	0.994657i	$-0.467079\pi$
$661$	18.7128	−	5.49456i	0.727842	−	0.213714i	0.624603	+	0.780943i	$0.285261\pi$
$662$	9.96880	+	11.5046i	0.387449	+	0.447139i
$663$	4.24035	+	1.24508i	0.164682	+	0.0483549i
$664$	−3.63129	−	7.95142i	−0.140921	−	0.308575i
$665$	1.92089	−	13.3601i	0.0744891	−	0.518083i
$666$	−11.3551			−0.440001
$667$	14.6350	−	17.0026i	0.566669	−	0.658344i
$668$	19.5874			0.757860
$669$	−1.29556	+	9.01083i	−0.0500893	+	0.348379i
$670$	−12.1333	−	26.5683i	−0.468751	−	1.02642i
$671$	1.45289	+	0.426606i	0.0560881	+	0.0164689i
$672$	−0.654861	−	0.755750i	−0.0252618	−	0.0291537i
$673$	3.43472	−	1.00852i	0.132399	−	0.0388758i	−0.214862	−	0.976644i	$-0.568930\pi$
$673$	3.43472	−	1.00852i	0.132399	−	0.0388758i	0.347261	+	0.937769i	$0.387112\pi$
$674$	−9.25148	−	5.94557i	−0.356354	−	0.229015i
$675$	5.41581	−	11.8590i	0.208455	−	0.456452i
$676$	7.66179	−	8.84217i	0.294684	−	0.340084i
$677$	16.7205	−	10.7456i	0.642620	−	0.412987i	−0.178343	−	0.983968i	$-0.557074\pi$
$677$	16.7205	−	10.7456i	0.642620	−	0.412987i	0.820963	+	0.570982i	$0.193437\pi$
$678$	−0.716761	−	4.98518i	−0.0275270	−	0.191455i
$679$	−0.904986	−	6.29431i	−0.0347302	−	0.241554i
$680$	13.8477	−	8.89937i	0.531035	−	0.341275i
$681$	−5.51864	+	6.36885i	−0.211475	+	0.244055i
$682$	1.05280	−	2.30531i	0.0403138	−	0.0882749i
$683$	10.0199	+	6.43941i	0.383401	+	0.246397i	0.718117	−	0.695922i	$-0.245004\pi$
$683$	10.0199	+	6.43941i	0.383401	+	0.246397i	−0.334716	+	0.942319i	$0.608640\pi$
$684$	−3.04938	+	0.895379i	−0.116596	+	0.0342357i
$685$	29.0098	+	33.4791i	1.10841	+	1.27917i
$686$	−0.959493	−	0.281733i	−0.0366336	−	0.0107566i
$687$	−0.0117807	−	0.0257960i	−0.000449460	−	0.000984180i
$688$	1.35126	−	9.39822i	0.0515163	−	0.358304i
$689$	−14.4202			−0.549367
$690$	20.3678	−	0.0671465i	0.775391	−	0.00255622i
$691$	42.2784			1.60835			0.804173	−	0.594395i	$-0.202609\pi$
$691$	42.2784			1.60835			0.804173	+	0.594395i	$0.202609\pi$
$692$	2.62653	−	18.2679i	0.0998455	−	0.694441i
$693$	−0.104438	−	0.228688i	−0.00396728	−	0.00868713i
$694$	17.0165	+	4.99650i	0.645938	+	0.189664i
$695$	−1.39181	−	1.60623i	−0.0527942	−	0.0609277i
$696$	4.48827	−	1.31788i	0.170128	−	0.0499539i
$697$	1.14011	+	0.732704i	0.0431847	+	0.0277531i
$698$	−2.40127	+	5.25806i	−0.0908896	+	0.199020i
$699$	16.6289	−	19.1908i	0.628964	−	0.725864i
$700$	−10.9675	+	7.04840i	−0.414533	+	0.266404i
$701$	6.04322	+	42.0315i	0.228249	+	1.58751i	0.705480	+	0.708730i	$0.250732\pi$
$701$	6.04322	+	42.0315i	0.228249	+	1.58751i	−0.477230	+	0.878778i	$0.658359\pi$
$702$	0.162272	+	1.12863i	0.00612455	+	0.0425972i
$703$	30.3590	−	19.5105i	1.14501	−	0.735854i
$704$	−0.164636	+	0.190001i	−0.00620497	+	0.00716092i
$705$	15.8779	−	34.7677i	0.597996	−	1.30943i
$706$	−3.03568	−	1.95091i	−0.114249	−	0.0734235i
$707$	18.2205	−	5.35004i	0.685254	−	0.201209i
$708$	−7.50038	−	8.65590i	−0.281881	−	0.325308i
$709$	−33.0118	−	9.69314i	−1.23978	−	0.364033i	−0.404850	−	0.914383i	$-0.632676\pi$
$709$	−33.0118	−	9.69314i	−1.23978	−	0.364033i	−0.834934	+	0.550350i	$0.814494\pi$
$710$	19.5168	+	42.7358i	0.732452	+	1.60385i
$711$	−0.797126	+	5.54414i	−0.0298946	+	0.207921i
$712$	2.64206			0.0990154
$713$	−7.03791	−	47.8299i	−0.263572	−	1.79124i
$714$	−3.87585			−0.145050
$715$	−0.173262	+	1.20506i	−0.00647964	+	0.0450669i
$716$	4.21015	+	9.21893i	0.157341	+	0.344528i
$717$	−16.6703	−	4.89485i	−0.622564	−	0.182801i
$718$	3.23691	+	3.73559i	0.120800	+	0.139411i
$719$	−13.3425	+	3.91772i	−0.497592	+	0.146106i	−0.520893	−	0.853622i	$-0.674401\pi$
$719$	−13.3425	+	3.91772i	−0.497592	+	0.146106i	0.0233004	+	0.999729i	$0.492583\pi$
$720$	3.57281	+	2.29611i	0.133151	+	0.0855709i
$721$	−5.68604	+	12.4507i	−0.211759	+	0.463688i
$722$	−5.82798	+	6.72585i	−0.216895	+	0.250310i
$723$	6.68592	−	4.29678i	0.248652	−	0.159799i
$724$	2.05892	+	14.3201i	0.0765192	+	0.532203i
$725$	−8.67899	−	60.3637i	−0.322329	−	2.24185i
$726$	9.20062	−	5.91288i	0.341467	−	0.219447i
$727$	16.5765	−	19.1303i	0.614787	−	0.709502i	−0.359921	−	0.932983i	$-0.617196\pi$
$727$	16.5765	−	19.1303i	0.614787	−	0.709502i	0.974708	+	0.223480i	$0.0717419\pi$
$728$	0.473669	−	1.03719i	0.0175553	−	0.0384408i
$729$	0.841254	+	0.540641i	0.0311575	+	0.0200237i
$730$	4.03658	−	1.18525i	0.149401	−	0.0438680i
$731$	−24.0993	−	27.8121i	−0.891346	−	1.02867i
$732$	5.77903	+	1.69688i	0.213599	+	0.0627183i
$733$	−6.01388	−	13.1686i	−0.222128	−	0.486392i	0.765456	−	0.643489i	$-0.222514\pi$
$733$	−6.01388	−	13.1686i	−0.222128	−	0.486392i	−0.987583	+	0.157097i	$0.949786\pi$
$734$	0.585967	−	4.07549i	0.0216284	−	0.150429i
$735$	4.24701			0.156653
$736$	−0.666865	+	4.74924i	−0.0245810	+	0.175059i
$737$	1.72898			0.0636879
$738$	−0.0497626	+	0.346106i	−0.00183179	+	0.0127403i
$739$	15.0958	+	33.0551i	0.555307	+	1.21595i	0.954259	+	0.298980i	$0.0966466\pi$
$739$	15.0958	+	33.0551i	0.555307	+	1.21595i	−0.398953	+	0.916972i	$0.630626\pi$
$740$	−46.2717	−	13.5866i	−1.70098	−	0.499454i
$741$	−2.37308	−	2.73868i	−0.0871771	−	0.100608i
$742$	12.1345	−	3.56300i	0.445471	−	0.130802i
$743$	11.8558	+	7.61925i	0.434946	+	0.279523i	0.739737	−	0.672896i	$-0.234950\pi$
$743$	11.8558	+	7.61925i	0.434946	+	0.279523i	−0.304790	+	0.952419i	$0.598586\pi$
$744$	4.18764	−	9.16964i	0.153526	−	0.336175i
$745$	−22.3700	+	25.8164i	−0.819575	+	0.945840i
$746$	15.9707	−	10.2638i	0.584730	−	0.375783i
$747$	−1.24402	−	8.65238i	−0.0455165	−	0.316574i
$748$	0.138674	+	0.964498i	0.00507042	+	0.0352655i
$749$	−12.5172	+	8.04432i	−0.457369	+	0.293933i
$750$	22.3528	−	25.7965i	0.816210	−	0.941957i
$751$	−16.4183	+	35.9510i	−0.599111	+	1.31187i	0.330666	+	0.943748i	$0.392727\pi$
$751$	−16.4183	+	35.9510i	−0.599111	+	1.31187i	−0.929777	+	0.368123i	$0.880001\pi$
$752$	7.57102	+	4.86560i	0.276087	+	0.177430i
$753$	13.1477	−	3.86051i	0.479128	−	0.140685i
$754$	3.49284	+	4.03096i	0.127202	+	0.146799i
$755$	7.44448	+	2.18590i	0.270933	+	0.0795530i
$756$	−0.415415	−	0.909632i	−0.0151085	−	0.0330830i
$757$	−2.92935	+	20.3741i	−0.106469	+	0.740510i	0.864729	+	0.502238i	$0.167490\pi$
$757$	−2.92935	+	20.3741i	−0.106469	+	0.740510i	−0.971199	+	0.238272i	$0.923419\pi$
$758$	14.5695			0.529190
$759$	−0.497250	+	1.09839i	−0.0180490	+	0.0398691i
$760$	−13.4975			−0.489606
$761$	5.20905	−	36.2297i	0.188828	−	1.31333i	−0.646221	−	0.763151i	$-0.723651\pi$
$761$	5.20905	−	36.2297i	0.188828	−	1.31333i	0.835049	−	0.550176i	$-0.185439\pi$
$762$	−1.94498	−	4.25892i	−0.0704593	−	0.154284i
$763$	8.88287	+	2.60825i	0.321582	+	0.0944249i
$764$	−1.13641	−	1.31149i	−0.0411140	−	0.0474481i
$765$	15.7940	−	4.63754i	0.571034	−	0.167671i
$766$	12.0892	+	7.76926i	0.436801	+	0.280715i
$767$	5.42512	−	11.8793i	0.195890	−	0.428938i
$768$	−0.654861	+	0.755750i	−0.0236303	+	0.0272708i
$769$	−38.3343	+	24.6359i	−1.38237	+	0.888395i	−0.999375	−	0.0353556i	$-0.988744\pi$
$769$	−38.3343	+	24.6359i	−1.38237	+	0.888395i	−0.382995	+	0.923751i	$0.625107\pi$
$770$	−0.151954	−	1.05686i	−0.00547603	−	0.0380866i
$771$	3.68627	+	25.6385i	0.132758	+	0.923349i
$772$	15.3756	−	9.88130i	0.553380	−	0.355636i
$773$	−16.4427	+	18.9759i	−0.591404	+	0.682517i	−0.970017	−	0.243038i	$-0.921856\pi$
$773$	−16.4427	+	18.9759i	−0.591404	+	0.682517i	0.378612	+	0.925555i	$0.376401\pi$
$774$	3.94431	−	8.63684i	0.141775	−	0.310445i
$775$	−110.559	−	71.0521i	−3.97141	−	2.55227i
$776$	−6.10145	+	1.79155i	−0.219029	+	0.0643128i
$777$	7.43600	+	8.58160i	0.266765	+	0.307863i
$778$	5.81706	+	1.70804i	0.208552	+	0.0612363i
$779$	−0.461641	−	1.01085i	−0.0165400	−	0.0362176i
$780$	−0.689170	+	4.79328i	−0.0246763	+	0.171627i
$781$	−2.78112			−0.0995163
$782$	12.2188	+	14.0076i	0.436942	+	0.500911i
$783$	4.67775			0.167169
$784$	−0.142315	+	0.989821i	−0.00508267	+	0.0353508i
$785$	15.4729	+	33.8810i	0.552253	+	1.20927i
$786$	−1.53951	−	0.452042i	−0.0549127	−	0.0161238i
$787$	10.9863	+	12.6788i	0.391618	+	0.451951i	0.916983	−	0.398926i	$-0.130617\pi$
$787$	10.9863	+	12.6788i	0.391618	+	0.451951i	−0.525366	+	0.850877i	$0.676071\pi$
$788$	−3.05451	+	0.896886i	−0.108813	+	0.0319502i
$789$	0.437082	+	0.280896i	0.0155605	+	0.0100001i
$790$	−9.88195	+	21.6385i	−0.351584	+	0.769862i
$791$	−3.29817	+	3.80629i	−0.117269	+	0.135336i
$792$	−0.211497	+	0.135921i	−0.00751522	+	0.00482974i
$793$	0.977363	+	6.79771i	0.0347072	+	0.241394i
$794$	−2.36502	−	16.4491i	−0.0839314	−	0.583756i
$795$	−45.1845	+	29.0383i	−1.60253	+	1.02988i
$796$	−4.94706	+	5.70921i	−0.175344	+	0.202358i
$797$	3.04985	−	6.67823i	0.108031	−	0.236555i	−0.847894	−	0.530166i	$-0.822130\pi$
$797$	3.04985	−	6.67823i	0.108031	−	0.236555i	0.955925	+	0.293611i	$0.0948569\pi$
$798$	2.67360	+	1.71822i	0.0946445	+	0.0608243i
$799$	33.4685	−	9.82724i	1.18403	−	0.347663i
$800$	8.53749	+	9.85279i	0.301846	+	0.348349i
$801$	2.53504	+	0.744354i	0.0895712	+	0.0263005i
$802$	7.37268	+	16.1439i	0.260338	+	0.570061i
$803$	−0.0354418	+	0.246503i	−0.00125071	+	0.00869890i
$804$	6.87723			0.242541
$805$	−13.3888	−	15.3490i	−0.471895	−	0.540982i
$806$	11.4942			0.404867
$807$	3.58517	−	24.9354i	0.126204	−	0.877767i
$808$	−7.88863	−	17.2737i	−0.277521	−	0.607687i
$809$	−46.5214	−	13.6599i	−1.63561	−	0.480258i	−0.670456	−	0.741950i	$-0.733901\pi$
$809$	−46.5214	−	13.6599i	−1.63561	−	0.480258i	−0.965151	+	0.261692i	$0.915720\pi$
$810$	2.78120	+	3.20968i	0.0977215	+	0.112777i
$811$	−28.0711	+	8.24243i	−0.985710	+	0.289431i	−0.734580	−	0.678522i	$-0.762621\pi$
$811$	−28.0711	+	8.24243i	−0.985710	+	0.289431i	−0.251131	+	0.967953i	$0.580802\pi$
$812$	−3.93518	−	2.52898i	−0.138098	−	0.0887500i
$813$	3.42167	−	7.49241i	0.120003	−	0.262770i
$814$	1.86946	−	2.15747i	0.0655246	−	0.0756194i
$815$	−30.6497	+	19.6973i	−1.07361	+	0.689968i
$816$	0.551591	+	3.83640i	0.0193096	+	0.134301i
$817$	4.29446	+	29.8687i	0.150244	+	1.04497i
$818$	−18.5603	+	11.9280i	−0.648947	+	0.417053i
$819$	0.746692	−	0.861729i	0.0260915	−	0.0301113i
$820$	−0.616905	+	1.35083i	−0.0215433	+	0.0471732i
$821$	−42.3725	−	27.2311i	−1.47881	−	0.950373i	−0.997262	−	0.0739539i	$-0.976438\pi$
$821$	−42.3725	−	27.2311i	−1.47881	−	0.950373i	−0.481548	−	0.876420i	$-0.659925\pi$
$822$	−10.0082	+	2.93866i	−0.349075	+	0.102498i
$823$	27.7809	+	32.0608i	0.968380	+	1.11757i	0.993029	+	0.117874i	$0.0376080\pi$
$823$	27.7809	+	32.0608i	0.968380	+	1.11757i	−0.0246481	+	0.999696i	$0.507847\pi$
$824$	13.1332	+	3.85625i	0.457515	+	0.134339i
$825$	1.36157	+	2.98143i	0.0474039	+	0.103800i
$826$	−1.62999	+	11.3368i	−0.0567145	+	0.394458i
$827$	−24.6884			−0.858498			−0.429249	−	0.903186i	$-0.641222\pi$
$827$	−24.6884			−0.858498			−0.429249	+	0.903186i	$0.641222\pi$
$828$	−1.97787	+	4.36899i	−0.0687357	+	0.151833i
$829$	7.63368			0.265129			0.132564	−	0.991174i	$-0.457679\pi$
$829$	7.63368			0.265129			0.132564	+	0.991174i	$0.457679\pi$
$830$	5.28339	−	36.7468i	0.183389	−	1.27550i
$831$	0.540543	+	1.18362i	0.0187512	+	0.0410595i
$832$	−1.09404	−	0.321240i	−0.0379291	−	0.0111370i
$833$	2.53814	+	2.92917i	0.0879414	+	0.101490i
$834$	0.480162	−	0.140988i	0.0166267	−	0.00488203i
$835$	69.9822	+	44.9749i	2.42184	+	1.55642i
$836$	0.331917	−	0.726796i	0.0114796	−	0.0251368i
$837$	6.60140	−	7.61842i	0.228178	−	0.263331i
$838$	7.11121	−	4.57010i	0.245653	−	0.157871i
$839$	1.93335	+	13.4467i	0.0667465	+	0.464232i	0.995594	+	0.0937697i	$0.0298917\pi$
$839$	1.93335	+	13.4467i	0.0667465	+	0.464232i	−0.928847	+	0.370463i	$0.879199\pi$
$840$	−0.604413	−	4.20378i	−0.0208542	−	0.145044i
$841$	−5.98856	+	3.84862i	−0.206502	+	0.132711i
$842$	17.8406	−	20.5892i	0.614829	−	0.709550i
$843$	−4.42254	+	9.68400i	−0.152320	+	0.333535i
$844$	17.2762	+	11.1028i	0.594673	+	0.382173i
$845$	47.6767	−	13.9992i	1.64013	−	0.481585i
$846$	5.89354	+	6.80151i	0.202624	+	0.233841i
$847$	−10.4938	−	3.08125i	−0.360570	−	0.105873i
$848$	−5.25366	−	11.5039i	−0.180411	−	0.395046i
$849$	−1.34827	+	9.37741i	−0.0462725	+	0.321832i
$850$	50.5299			1.73316
$851$	7.57231	−	53.9281i	0.259575	−	1.84863i
$852$	−11.0622			−0.378986
$853$	−3.45950	+	24.0613i	−0.118451	+	0.823844i	0.840812	+	0.541328i	$0.182078\pi$
$853$	−3.45950	+	24.0613i	−0.118451	+	0.823844i	−0.959263	+	0.282516i	$0.908831\pi$
$854$	−2.50204	−	5.47871i	−0.0856182	−	0.187478i
$855$	−12.9508	−	3.80269i	−0.442907	−	0.130049i
$856$	9.74382	+	11.2450i	0.333037	+	0.384345i
$857$	−15.0595	+	4.42188i	−0.514424	+	0.151048i	−0.528633	−	0.848851i	$-0.677295\pi$
$857$	−15.0595	+	4.42188i	−0.514424	+	0.151048i	0.0142091	+	0.999899i	$0.495477\pi$
$858$	−0.241155	−	0.154981i	−0.00823291	−	0.00529097i
$859$	−10.6054	+	23.2225i	−0.361850	+	0.792341i	0.637903	+	0.770117i	$0.279802\pi$
$859$	−10.6054	+	23.2225i	−0.361850	+	0.792341i	−0.999753	+	0.0222243i	$0.992925\pi$
$860$	26.4071	−	30.4755i	0.900476	−	1.03920i
$861$	0.294157	−	0.189043i	0.0100249	−	0.00644258i
$862$	3.08875	+	21.4827i	0.105203	+	0.731705i
$863$	−1.08271	−	7.53041i	−0.0368558	−	0.256338i	0.963060	−	0.269286i	$-0.0867876\pi$
$863$	−1.08271	−	7.53041i	−0.0368558	−	0.256338i	−0.999916	+	0.0129477i	$0.995878\pi$
$864$	−0.841254	+	0.540641i	−0.0286200	+	0.0183930i
$865$	51.3291	−	59.2370i	1.74524	−	2.01412i
$866$	5.31725	−	11.6431i	0.180687	−	0.395650i
$867$	−1.66381	−	1.06927i	−0.0565059	−	0.0363141i
$868$	−9.67227	+	2.84004i	−0.328298	+	0.0963971i
$869$	−0.922153	−	1.06422i	−0.0312819	−	0.0361012i
$870$	19.0617	+	5.59703i	0.646254	+	0.189757i
$871$	3.25753	+	7.13300i	0.110377	+	0.241693i
$872$	1.31753	−	9.16365i	0.0446173	−	0.310320i
$873$	−6.35904			−0.215221
$874$	−2.21885	−	15.0793i	−0.0750536	−	0.510066i
$875$	−34.1337			−1.15393
$876$	−0.140974	+	0.980495i	−0.00476306	+	0.0331278i
$877$	12.5653	+	27.5142i	0.424301	+	0.929089i	0.994217	+	0.107386i	$0.0342482\pi$
$877$	12.5653	+	27.5142i	0.424301	+	0.929089i	−0.569917	+	0.821702i	$0.693025\pi$
$878$	−8.52491	−	2.50314i	−0.287702	−	0.0844768i
$879$	8.31743	+	9.59883i	0.280540	+	0.323760i
$880$	−1.02448	+	0.300814i	−0.0345351	+	0.0101404i
$881$	−4.13849	−	2.65964i	−0.139429	−	0.0896057i	0.469067	−	0.883163i	$-0.344590\pi$
$881$	−4.13849	−	2.65964i	−0.139429	−	0.0896057i	−0.608496	+	0.793557i	$0.708227\pi$
$882$	−0.415415	+	0.909632i	−0.0139878	+	0.0306289i
$883$	26.4549	−	30.5306i	0.890278	−	1.02744i	−0.109164	−	0.994024i	$-0.534817\pi$
$883$	26.4549	−	30.5306i	0.890278	−	1.02744i	0.999442	−	0.0334116i	$-0.0106372\pi$
$884$	−3.71781	+	2.38929i	−0.125043	+	0.0803605i
$885$	−6.92258	−	48.1476i	−0.232700	−	1.61846i
$886$	3.75135	+	26.0912i	0.126029	+	0.876551i
$887$	44.7852	−	28.7817i	1.50374	−	0.966395i	0.509357	−	0.860555i	$-0.329883\pi$
$887$	44.7852	−	28.7817i	1.50374	−	0.966395i	0.994383	−	0.105840i	$-0.0337530\pi$
$888$	7.43600	−	8.58160i	0.249536	−	0.287980i
$889$	−1.94498	+	4.25892i	−0.0652327	+	0.142840i
$890$	9.43959	+	6.06646i	0.316416	+	0.203348i
$891$	−0.241223	+	0.0708295i	−0.00808128	+	0.00237288i
$892$	−5.96152	−	6.87996i	−0.199606	−	0.230358i
$893$	−27.4435	−	8.05813i	−0.918361	−	0.269655i
$894$	−3.34131	−	7.31644i	−0.111750	−	0.244698i
$895$	−6.12560	+	42.6045i	−0.204756	+	1.42411i
$896$	1.00000			0.0334077
$897$	−5.46833	+	0.0180274i	−0.182582	+	0.000601916i
$898$	21.5698			0.719793
$899$	6.71080	−	46.6746i	0.223818	−	1.55669i
$900$	5.41581	+	11.8590i	0.180527	+	0.395299i
$901$	−47.0314	−	13.8097i	−1.56684	−	0.460067i
$902$	−0.0575677	−	0.0664366i	−0.00191679	−	0.00221210i
$903$	−9.11026	+	2.67501i	−0.303170	+	0.0890189i
$904$	4.23693	+	2.72291i	0.140918	+	0.0905626i
$905$	−25.5244	+	55.8906i	−0.848459	+	1.85787i
$906$	−1.19635	+	1.38066i	−0.0397461	+	0.0458694i
$907$	−15.5008	+	9.96178i	−0.514696	+	0.330775i	−0.772071	−	0.635536i	$-0.780779\pi$
$907$	−15.5008	+	9.96178i	−0.514696	+	0.330775i	0.257374	+	0.966312i	$0.417143\pi$
$908$	−1.19932	−	8.34142i	−0.0398007	−	0.276820i
$909$	−2.70253	−	18.7965i	−0.0896371	−	0.623440i
$910$	4.07383	−	2.61809i	0.135046	−	0.0867890i
$911$	22.5698	−	26.0470i	0.747772	−	0.862975i	−0.246578	−	0.969123i	$-0.579306\pi$
$911$	22.5698	−	26.0470i	0.747772	−	0.862975i	0.994350	+	0.106148i	$0.0338516\pi$
$912$	1.32024	−	2.89092i	0.0437174	−	0.0957278i
$913$	1.84877	+	1.18813i	0.0611853	+	0.0393214i
$914$	37.3797	−	10.9757i	1.23641	−	0.363043i
$915$	16.7512	+	19.3319i	0.553777	+	0.639093i
$916$	0.0272100	+	0.00798958i	0.000899044	+	0.000263983i
$917$	0.666537	+	1.45951i	0.0220110	+	0.0481973i
$918$	−0.551591	+	3.83640i	−0.0182052	+	0.126620i
$919$	−51.5537			−1.70060			−0.850300	−	0.526299i	$-0.823579\pi$
$919$	−51.5537			−1.70060			−0.850300	+	0.526299i	$0.823579\pi$
$920$	−13.2874	+	15.4370i	−0.438071	+	0.508942i
$921$	24.7643			0.816010
$922$	−1.22381	+	8.51179i	−0.0403041	+	0.280321i
$923$	−5.23984	−	11.4736i	−0.172471	−	0.377660i
$924$	0.241223	+	0.0708295i	0.00793566	+	0.00233012i
$925$	−96.9440	−	111.879i	−3.18750	−	3.67857i
$926$	−23.8122	+	6.99191i	−0.782519	+	0.229768i
$927$	11.5147	+	7.40008i	0.378194	+	0.243051i
$928$	−1.94321	+	4.25503i	−0.0637890	+	0.139678i
$929$	3.48121	−	4.01754i	0.114215	−	0.131811i	−0.695763	−	0.718271i	$-0.744934\pi$
$929$	3.48121	−	4.01754i	0.114215	−	0.131811i	0.809978	+	0.586460i	$0.199479\pi$
$930$	36.0161	−	23.1462i	1.18102	−	0.758993i
$931$	−0.452293	−	3.14577i	−0.0148233	−	0.103098i
$932$	3.61381	+	25.1346i	0.118374	+	0.823312i
$933$	21.0213	−	13.5096i	0.688208	−	0.442284i
$934$	−1.39527	+	1.61023i	−0.0456546	+	0.0526882i
$935$	−1.71914	+	3.76438i	−0.0562217	+	0.123108i
$936$	−0.959223	−	0.616455i	−0.0313532	−	0.0201495i
$937$	26.2344	−	7.70310i	0.857039	−	0.251649i	0.176446	−	0.984310i	$-0.443540\pi$
$937$	26.2344	−	7.70310i	0.857039	−	0.251649i	0.680594	+	0.732661i	$0.261722\pi$
$938$	−4.50363	−	5.19747i	−0.147049	−	0.169703i
$939$	−1.59585	−	0.468583i	−0.0520785	−	0.0152916i
$940$	15.8779	+	34.7677i	0.517880	+	1.13400i
$941$	2.49589	−	17.3593i	0.0813637	−	0.565897i	−0.907836	−	0.419325i	$-0.862267\pi$
$941$	2.49589	−	17.3593i	0.0813637	−	0.565897i	0.989200	−	0.146572i	$-0.0468240\pi$
$942$	−8.77015			−0.285747
$943$	−1.61056	−	0.467141i	−0.0524470	−	0.0152122i
$944$	11.4534			0.372776
$945$	0.604413	−	4.20378i	0.0196616	−	0.136749i
$946$	0.991627	+	2.17136i	0.0322406	+	0.0705970i
$947$	−13.5374	−	3.97495i	−0.439907	−	0.129168i	0.0542765	−	0.998526i	$-0.482715\pi$
$947$	−13.5374	−	3.97495i	−0.439907	−	0.129168i	−0.494184	+	0.869358i	$0.664533\pi$
$948$	−3.66797	−	4.23306i	−0.119130	−	0.137484i
$949$	−1.08373	+	0.318213i	−0.0351795	+	0.0103296i
$950$	−34.8561	−	22.4006i	−1.13088	−	0.726772i
$951$	8.41750	−	18.4318i	0.272956	−	0.597691i
$952$	2.53814	−	2.92917i	0.0822617	−	0.0949351i
$953$	11.6340	−	7.47670i	0.376861	−	0.242194i	−0.338474	−	0.940976i	$-0.609911\pi$
$953$	11.6340	−	7.47670i	0.376861	−	0.242194i	0.715335	+	0.698782i	$0.246274\pi$
$954$	−1.79982	−	12.5180i	−0.0582714	−	0.405286i
$955$	−1.04887	−	7.29505i	−0.0339406	−	0.236062i
$956$	14.6160	−	9.39314i	0.472716	−	0.303796i
$957$	−0.770129	+	0.888776i	−0.0248947	+	0.0287301i
$958$	−1.33501	+	2.92327i	−0.0431323	+	0.0944465i
$959$	8.77484	+	5.63925i	0.283354	+	0.182101i
$960$	−4.07498	+	1.19652i	−0.131519	+	0.0386176i
$961$	−46.2454	−	53.3700i	−1.49179	−	1.72161i
$962$	12.4230	+	3.64771i	0.400532	+	0.117607i
$963$	6.18106	+	13.5346i	0.199182	+	0.436147i
$964$	−1.13106	+	7.86668i	−0.0364289	+	0.253369i
$965$	77.6227			2.49876
$966$	4.59709	−	1.36630i	0.147909	−	0.0439601i
$967$	21.7306			0.698810			0.349405	−	0.936972i	$-0.386384\pi$
$967$	21.7306			0.698810			0.349405	+	0.936972i	$0.386384\pi$
$968$	−1.55647	+	10.8255i	−0.0500268	+	0.347944i
$969$	−5.11704	−	11.2048i	−0.164383	−	0.359949i
$970$	−25.9130	−	7.60873i	−0.832015	−	0.244302i
$971$	5.42830	+	6.26460i	0.174203	+	0.201040i	0.836136	−	0.548522i	$-0.184809\pi$
$971$	5.42830	+	6.26460i	0.174203	+	0.201040i	−0.661933	+	0.749563i	$0.730264\pi$
$972$	−0.959493	+	0.281733i	−0.0307758	+	0.00903658i
$973$	−0.420991	−	0.270555i	−0.0134964	−	0.00867358i
$974$	15.0687	−	32.9959i	0.482833	−	1.05726i
$975$	−9.73471	+	11.2345i	−0.311760	+	0.359791i
$976$	−5.06687	+	3.25628i	−0.162187	+	0.104231i
$977$	6.87282	+	47.8015i	0.219881	+	1.52931i	0.738473	+	0.674283i	$0.235547\pi$
$977$	6.87282	+	47.8015i	0.219881	+	1.52931i	−0.518592	+	0.855022i	$0.673544\pi$
$978$	−1.22086	−	8.49126i	−0.0390388	−	0.271520i
$979$	−0.558788	+	0.359111i	−0.0178589	+	0.0114772i
$980$	−2.78120	+	3.20968i	−0.0888422	+	0.102529i
$981$	3.84586	−	8.42127i	0.122789	−	0.268870i
$982$	−14.6361	−	9.40608i	−0.467058	−	0.300160i
$983$	18.3767	−	5.39589i	0.586126	−	0.172102i	0.0247937	−	0.999693i	$-0.492107\pi$
$983$	18.3767	−	5.39589i	0.586126	−	0.172102i	0.561332	+	0.827590i	$0.310289\pi$
$984$	−0.228982	−	0.264259i	−0.00729968	−	0.00842428i
$985$	−12.9726	−	3.80909i	−0.413340	−	0.121368i
$986$	7.53159	+	16.4919i	0.239855	+	0.525209i
$987$	1.28079	−	8.90808i	0.0407680	−	0.283547i
$988$	3.62379			0.115288
$989$	38.3881	+	24.4921i	1.22067	+	0.778803i
$990$	−1.06773			−0.0339346
$991$	−0.735875	+	5.11812i	−0.0233758	+	0.162583i	−0.998166	−	0.0605428i	$-0.980717\pi$
$991$	−0.735875	+	5.11812i	−0.0233758	+	0.162583i	0.974790	+	0.223125i	$0.0716259\pi$
$992$	4.18764	+	9.16964i	0.132958	+	0.291137i
$993$	−14.6062	−	4.28875i	−0.463512	−	0.136099i
$994$	7.24422	+	8.36028i	0.229773	+	0.265172i
$995$	−30.7839	+	9.03896i	−0.975915	+	0.286554i
$996$	7.35369	+	4.72593i	0.233011	+	0.149747i
$997$	12.5756	−	27.5367i	0.398272	−	0.872095i	−0.599170	−	0.800622i	$-0.704503\pi$
$997$	12.5756	−	27.5367i	0.398272	−	0.872095i	0.997443	−	0.0714732i	$-0.0227700\pi$
$998$	14.7026	−	16.9677i	0.465402	−	0.537103i
$999$	9.55251	−	6.13902i	0.302228	−	0.194230i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.169.1	✓	30
23.3	even	11	inner	966.2.q.f.463.1	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.169.1	✓	30	1.1	even	1	trivial
966.2.q.f.463.1	yes	30	23.3	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-2.78120 - 3.20968i) q^{5} +(0.959493 - 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-2.78120 - 3.20968i) q^{5} +(0.959493 - 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(-3.57281 + 2.29611i) q^{10} +(-0.0357789 - 0.248848i) q^{11} +(-0.142315 - 0.989821i) q^{12} +(0.959223 - 0.616455i) q^{13} +(-0.654861 + 0.755750i) q^{14} +(1.76427 - 3.86322i) q^{15} +(0.841254 + 0.540641i) q^{16} +(3.71885 - 1.09195i) q^{17} +(0.654861 + 0.755750i) q^{18} +(-3.04938 - 0.895379i) q^{19} +(1.76427 + 3.86322i) q^{20} +(0.142315 - 0.989821i) q^{21} -0.251407 q^{22} +(-4.02594 + 2.60611i) q^{23} -1.00000 q^{24} +(-1.85537 + 12.9044i) q^{25} +(-0.473669 - 1.03719i) q^{26} +(-0.959493 - 0.281733i) q^{27} +(0.654861 + 0.755750i) q^{28} +(-4.48827 + 1.31788i) q^{29} +(-3.57281 - 2.29611i) q^{30} +(-4.18764 + 9.16964i) q^{31} +(0.654861 - 0.755750i) q^{32} +(0.211497 - 0.135921i) q^{33} +(-0.551591 - 3.83640i) q^{34} +(0.604413 + 4.20378i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-7.43600 + 8.58160i) q^{37} +(-1.32024 + 2.89092i) q^{38} +(0.959223 + 0.616455i) q^{39} +(4.07498 - 1.19652i) q^{40} +(0.228982 + 0.264259i) q^{41} +(-0.959493 - 0.281733i) q^{42} +(-3.94431 - 8.63684i) q^{43} +(-0.0357789 + 0.248848i) q^{44} +4.24701 q^{45} +(2.00663 + 4.35585i) q^{46} +8.99968 q^{47} +(-0.142315 + 0.989821i) q^{48} +(0.415415 + 0.909632i) q^{49} +(12.5090 + 3.67298i) q^{50} +(2.53814 + 2.92917i) q^{51} +(-1.09404 + 0.321240i) q^{52} +(-10.6391 - 6.83736i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(-0.699213 + 0.806935i) q^{55} +(0.841254 - 0.540641i) q^{56} +(-0.452293 - 3.14577i) q^{57} +(0.665714 + 4.63014i) q^{58} +(9.63521 - 6.19217i) q^{59} +(-2.78120 + 3.20968i) q^{60} +(-2.50204 + 5.47871i) q^{61} +(8.48035 + 5.44999i) q^{62} +(0.959493 - 0.281733i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(-4.64642 - 1.36431i) q^{65} +(-0.104438 - 0.228688i) q^{66} +(-0.978732 + 6.80723i) q^{67} -3.87585 q^{68} +(-4.04304 - 2.57951i) q^{69} +4.24701 q^{70} +(1.57432 - 10.9496i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(-0.950452 - 0.279078i) q^{73} +(7.43600 + 8.58160i) q^{74} +(-12.5090 + 3.67298i) q^{75} +(2.67360 + 1.71822i) q^{76} +(-0.104438 + 0.228688i) q^{77} +(0.746692 - 0.861729i) q^{78} +(4.71198 - 3.02821i) q^{79} +(-0.604413 - 4.20378i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(0.294157 - 0.189043i) q^{82} +(-5.72437 + 6.60627i) q^{83} +(-0.415415 + 0.909632i) q^{84} +(-13.8477 - 8.89937i) q^{85} +(-9.11026 + 2.67501i) q^{86} +(-3.06328 - 3.53521i) q^{87} +(0.241223 + 0.0708295i) q^{88} +(-1.09755 - 2.40330i) q^{89} +(0.604413 - 4.20378i) q^{90} -1.14023 q^{91} +(4.59709 - 1.36630i) q^{92} -10.0806 q^{93} +(1.28079 - 8.90808i) q^{94} +(5.60707 + 12.2778i) q^{95} +(0.959493 + 0.281733i) q^{96} +(4.16429 + 4.80584i) q^{97} +(0.959493 - 0.281733i) q^{98} +(0.211497 + 0.135921i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

Introduction

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