LMFDB - Embedded newform 966.2.q.f.211.1

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			211.1
Character	$\chi$	$=$	966.211
Dual form			966.2.q.f.673.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.415415 - 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.44943 - 1.57415i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(-0.415415 - 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.44943 - 1.57415i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.414370 + 2.88200i) q^{10} +(-1.74689 + 3.82515i) q^{11} +(0.415415 - 0.909632i) q^{12} +(0.00630970 - 0.0438849i) q^{13} +(0.841254 - 0.540641i) q^{14} +(2.79370 + 0.820304i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(3.34237 + 3.85731i) q^{17} +(-0.841254 - 0.540641i) q^{18} +(2.57237 - 2.96868i) q^{19} +(2.79370 - 0.820304i) q^{20} +(-0.415415 - 0.909632i) q^{21} +4.20516 q^{22} +(-1.92651 - 4.39187i) q^{23} -1.00000 q^{24} +(1.44467 + 3.16338i) q^{25} +(-0.0425403 + 0.0124910i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(-6.05081 - 6.98300i) q^{29} +(-0.414370 - 2.88200i) q^{30} +(8.79091 + 2.58124i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(0.598457 - 4.16236i) q^{33} +(2.12026 - 4.64271i) q^{34} +(1.20954 - 2.64852i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-3.30109 + 2.12148i) q^{37} +(-3.76900 - 1.10668i) q^{38} +(0.00630970 + 0.0438849i) q^{39} +(-1.90672 - 2.20047i) q^{40} +(-0.422581 - 0.271576i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(9.00896 - 2.64527i) q^{43} +(-1.74689 - 3.82515i) q^{44} -2.91164 q^{45} +(-3.19469 + 3.57687i) q^{46} -3.05740 q^{47} +(0.415415 + 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(2.27737 - 2.62823i) q^{50} +(-4.29371 - 2.75940i) q^{51} +(0.0290341 + 0.0335071i) q^{52} +(-1.15940 - 8.06380i) q^{53} +(0.959493 + 0.281733i) q^{54} +(10.3002 - 6.61956i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(-1.63180 + 3.57314i) q^{57} +(-3.83837 + 8.40485i) q^{58} +(1.33092 - 9.25675i) q^{59} +(-2.44943 + 1.57415i) q^{60} +(4.50465 + 1.32269i) q^{61} +(-1.30389 - 9.06878i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-0.0845367 + 0.0975606i) q^{65} +(-4.03483 + 1.18473i) q^{66} +(-3.72133 - 8.14858i) q^{67} -5.10395 q^{68} +(3.08581 + 3.67121i) q^{69} -2.91164 q^{70} +(-0.0557627 - 0.122103i) q^{71} +(0.959493 - 0.281733i) q^{72} +(6.49842 - 7.49958i) q^{73} +(3.30109 + 2.12148i) q^{74} +(-2.27737 - 2.62823i) q^{75} +(0.559030 + 3.88814i) q^{76} +(-4.03483 - 1.18473i) q^{77} +(0.0372980 - 0.0239700i) q^{78} +(0.394108 - 2.74108i) q^{79} +(-1.20954 + 2.64852i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.0714881 + 0.497210i) q^{82} +(12.9359 - 8.31339i) q^{83} +(0.959493 + 0.281733i) q^{84} +(-2.11492 - 14.7096i) q^{85} +(-6.14868 - 7.09596i) q^{86} +(7.77305 + 4.99543i) q^{87} +(-2.75380 + 3.17805i) q^{88} +(18.0292 - 5.29387i) q^{89} +(1.20954 + 2.64852i) q^{90} +0.0443362 q^{91} +(4.58075 + 1.42011i) q^{92} -9.16203 q^{93} +(1.27009 + 2.78111i) q^{94} +(-10.9740 + 3.22225i) q^{95} +(0.654861 - 0.755750i) q^{96} +(-1.20825 - 0.776498i) q^{97} +(0.654861 + 0.755750i) q^{98} +(0.598457 + 4.16236i) 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 $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{11}\right)$

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 $

$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	−2.44943	−	1.57415i	−1.09542	−	0.703982i	−0.137349	−	0.990523i	$-0.543858\pi$
$5$	−2.44943	−	1.57415i	−1.09542	−	0.703982i	−0.958068	+	0.286541i	$0.907495\pi$
$6$	0.654861	+	0.755750i	0.267346	+	0.308533i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	−0.414370	+	2.88200i	−0.131035	+	0.911369i
$11$	−1.74689	+	3.82515i	−0.526707	+	1.15333i	0.440131	+	0.897934i	$0.354932\pi$
$11$	−1.74689	+	3.82515i	−0.526707	+	1.15333i	−0.966837	+	0.255393i	$0.917795\pi$
$12$	0.415415	−	0.909632i	0.119920	−	0.262588i
$13$	0.00630970	−	0.0438849i	0.00175000	−	0.0121715i	−0.988928	−	0.148398i	$-0.952588\pi$
$13$	0.00630970	−	0.0438849i	0.00175000	−	0.0121715i	0.990678	+	0.136226i	$0.0434975\pi$
$14$	0.841254	−	0.540641i	0.224834	−	0.144492i
$15$	2.79370	+	0.820304i	0.721330	+	0.211802i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	3.34237	+	3.85731i	0.810645	+	0.935534i	0.998914	−	0.0465834i	$-0.0148333\pi$
$17$	3.34237	+	3.85731i	0.810645	+	0.935534i	−0.188270	+	0.982117i	$0.560288\pi$
$18$	−0.841254	−	0.540641i	−0.198285	−	0.127430i
$19$	2.57237	−	2.96868i	0.590143	−	0.681061i	−0.379611	−	0.925146i	$-0.623942\pi$
$19$	2.57237	−	2.96868i	0.590143	−	0.681061i	0.969754	+	0.244085i	$0.0784877\pi$
$20$	2.79370	−	0.820304i	0.624690	−	0.183425i
$21$	−0.415415	−	0.909632i	−0.0906510	−	0.198498i
$22$	4.20516			0.896544
$23$	−1.92651	−	4.39187i	−0.401705	−	0.915769i
$23$	−1.92651	−	4.39187i	−0.401705	−	0.915769i
$24$	−1.00000			−0.204124
$25$	1.44467	+	3.16338i	0.288933	+	0.632676i
$26$	−0.0425403	+	0.0124910i	−0.00834284	+	0.00244968i
$27$	−0.654861	+	0.755750i	−0.126028	+	0.145444i
$28$	−0.841254	−	0.540641i	−0.158982	−	0.102172i
$29$	−6.05081	−	6.98300i	−1.12361	−	1.29671i	−0.950123	−	0.311874i	$-0.899043\pi$
$29$	−6.05081	−	6.98300i	−1.12361	−	1.29671i	−0.173483	−	0.984837i	$-0.555502\pi$
$30$	−0.414370	−	2.88200i	−0.0756532	−	0.526179i
$31$	8.79091	+	2.58124i	1.57889	+	0.463605i	0.949574	−	0.313542i	$-0.101516\pi$
$31$	8.79091	+	2.58124i	1.57889	+	0.463605i	0.629319	+	0.777147i	$0.283334\pi$
$32$	−0.841254	+	0.540641i	−0.148714	+	0.0955727i
$33$	0.598457	−	4.16236i	0.104178	−	0.724574i
$34$	2.12026	−	4.64271i	0.363621	−	0.796219i
$35$	1.20954	−	2.64852i	0.204449	−	0.447682i
$36$	−0.142315	+	0.989821i	−0.0237191	+	0.164970i
$37$	−3.30109	+	2.12148i	−0.542696	+	0.348769i	−0.783092	−	0.621905i	$-0.786359\pi$
$37$	−3.30109	+	2.12148i	−0.542696	+	0.348769i	0.240397	+	0.970675i	$0.422722\pi$
$38$	−3.76900	−	1.10668i	−0.611413	−	0.179527i
$39$	0.00630970	+	0.0438849i	0.00101036	+	0.00702722i
$40$	−1.90672	−	2.20047i	−0.301479	−	0.347925i
$41$	−0.422581	−	0.271576i	−0.0659961	−	0.0424131i	0.507227	−	0.861813i	$-0.330671\pi$
$41$	−0.422581	−	0.271576i	−0.0659961	−	0.0424131i	−0.573223	+	0.819400i	$0.694307\pi$
$42$	−0.654861	+	0.755750i	−0.101047	+	0.116615i
$43$	9.00896	−	2.64527i	1.37385	−	0.403400i	0.490228	−	0.871594i	$-0.336913\pi$
$43$	9.00896	−	2.64527i	1.37385	−	0.403400i	0.883626	+	0.468194i	$0.155095\pi$
$44$	−1.74689	−	3.82515i	−0.263353	−	0.576663i
$45$	−2.91164			−0.434042
$46$	−3.19469	+	3.57687i	−0.471031	+	0.527380i
$47$	−3.05740			−0.445968			−0.222984	−	0.974822i	$-0.571580\pi$
$47$	−3.05740			−0.445968			−0.222984	+	0.974822i	$0.571580\pi$
$48$	0.415415	+	0.909632i	0.0599600	+	0.131294i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	2.27737	−	2.62823i	0.322069	−	0.371688i
$51$	−4.29371	−	2.75940i	−0.601240	−	0.386394i
$52$	0.0290341	+	0.0335071i	0.00402630	+	0.00464660i
$53$	−1.15940	−	8.06380i	−0.159256	−	1.10765i	−0.900009	−	0.435871i	$-0.856440\pi$
$53$	−1.15940	−	8.06380i	−0.159256	−	1.10765i	0.740753	−	0.671777i	$-0.234469\pi$
$54$	0.959493	+	0.281733i	0.130570	+	0.0383389i
$55$	10.3002	−	6.61956i	1.38888	−	0.892582i
$56$	−0.142315	+	0.989821i	−0.0190176	+	0.132270i
$57$	−1.63180	+	3.57314i	−0.216137	+	0.473274i
$58$	−3.83837	+	8.40485i	−0.504002	+	1.10361i
$59$	1.33092	−	9.25675i	0.173271	−	1.20513i	−0.698644	−	0.715469i	$-0.746213\pi$
$59$	1.33092	−	9.25675i	0.173271	−	1.20513i	0.871915	−	0.489657i	$-0.162878\pi$
$60$	−2.44943	+	1.57415i	−0.316220	+	0.203222i
$61$	4.50465	+	1.32269i	0.576762	+	0.169353i	0.557087	−	0.830454i	$-0.311919\pi$
$61$	4.50465	+	1.32269i	0.576762	+	0.169353i	0.0196744	+	0.999806i	$0.493737\pi$
$62$	−1.30389	−	9.06878i	−0.165595	−	1.15174i
$63$	0.654861	+	0.755750i	0.0825047	+	0.0952155i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	−0.0845367	+	0.0975606i	−0.0104855	+	0.0121009i
$66$	−4.03483	+	1.18473i	−0.496653	+	0.145830i
$67$	−3.72133	−	8.14858i	−0.454633	−	0.995508i	−0.988678	−	0.150052i	$-0.952056\pi$
$67$	−3.72133	−	8.14858i	−0.454633	−	0.995508i	0.534045	−	0.845456i	$-0.320671\pi$
$68$	−5.10395			−0.618944
$69$	3.08581	+	3.67121i	0.371487	+	0.441962i
$70$	−2.91164			−0.348008
$71$	−0.0557627	−	0.122103i	−0.00661782	−	0.0144910i	0.906294	−	0.422647i	$-0.138899\pi$
$71$	−0.0557627	−	0.122103i	−0.00661782	−	0.0144910i	−0.912912	+	0.408156i	$0.866172\pi$
$72$	0.959493	−	0.281733i	0.113077	−	0.0332025i
$73$	6.49842	−	7.49958i	0.760583	−	0.877759i	−0.234966	−	0.972004i	$-0.575498\pi$
$73$	6.49842	−	7.49958i	0.760583	−	0.877759i	0.995549	+	0.0942441i	$0.0300434\pi$
$74$	3.30109	+	2.12148i	0.383744	+	0.246617i
$75$	−2.27737	−	2.62823i	−0.262968	−	0.303482i
$76$	0.559030	+	3.88814i	0.0641251	+	0.446000i
$77$	−4.03483	−	1.18473i	−0.459811	−	0.135013i
$78$	0.0372980	−	0.0239700i	0.00422317	−	0.00271406i
$79$	0.394108	−	2.74108i	0.0443406	−	0.308395i	−0.955567	−	0.294775i	$-0.904755\pi$
$79$	0.394108	−	2.74108i	0.0443406	−	0.308395i	0.999907	−	0.0136203i	$-0.00433562\pi$
$80$	−1.20954	+	2.64852i	−0.135231	+	0.296114i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−0.0714881	+	0.497210i	−0.00789453	+	0.0549077i
$83$	12.9359	−	8.31339i	1.41990	−	0.912513i	0.419910	−	0.907566i	$-0.362062\pi$
$83$	12.9359	−	8.31339i	1.41990	−	0.912513i	0.999988	−	0.00494679i	$-0.00157462\pi$
$84$	0.959493	+	0.281733i	0.104689	+	0.0307395i
$85$	−2.11492	−	14.7096i	−0.229395	−	1.59548i
$86$	−6.14868	−	7.09596i	−0.663029	−	0.765177i
$87$	7.77305	+	4.99543i	0.833358	+	0.535567i
$88$	−2.75380	+	3.17805i	−0.293556	+	0.338781i
$89$	18.0292	−	5.29387i	1.91110	−	0.561149i	0.930028	−	0.367489i	$-0.119783\pi$
$89$	18.0292	−	5.29387i	1.91110	−	0.561149i	0.981069	−	0.193659i	$-0.0620357\pi$
$90$	1.20954	+	2.64852i	0.127497	+	0.279179i
$91$	0.0443362			0.00464770
$92$	4.58075	+	1.42011i	0.477577	+	0.148056i
$93$	−9.16203			−0.950059
$94$	1.27009	+	2.78111i	0.131000	+	0.286850i
$95$	−10.9740	+	3.22225i	−1.12591	+	0.330596i
$96$	0.654861	−	0.755750i	0.0668364	−	0.0771334i
$97$	−1.20825	−	0.776498i	−0.122680	−	0.0788414i	0.477862	−	0.878435i	$-0.341412\pi$
$97$	−1.20825	−	0.776498i	−0.122680	−	0.0788414i	−0.600542	+	0.799594i	$0.705048\pi$
$98$	0.654861	+	0.755750i	0.0661509	+	0.0763422i
$99$	0.598457	+	4.16236i	0.0601472	+	0.418333i
$100$	−3.33678	−	0.979766i	−0.333678	−	0.0979766i
$101$	−10.1668	+	6.53379i	−1.01163	+	0.650136i	−0.937815	−	0.347136i	$-0.887154\pi$
$101$	−10.1668	+	6.53379i	−1.01163	+	0.650136i	−0.0738164	+	0.997272i	$0.523518\pi$
$102$	−0.726367	+	5.05200i	−0.0719211	+	0.500222i
$103$	−5.68061	+	12.4388i	−0.559727	+	1.22563i	0.392363	+	0.919811i	$0.371658\pi$
$103$	−5.68061	+	12.4388i	−0.559727	+	1.22563i	−0.952089	+	0.305820i	$0.901069\pi$
$104$	0.0184179	−	0.0403296i	0.00180603	−	0.00395465i
$105$	−0.414370	+	2.88200i	−0.0404383	+	0.281255i
$106$	−6.85346	+	4.40445i	−0.665667	+	0.427798i
$107$	18.2175	+	5.34915i	1.76115	+	0.517121i	0.992468	−	0.122505i	$-0.0390928\pi$
$107$	18.2175	+	5.34915i	1.76115	+	0.517121i	0.768686	+	0.639627i	$0.220911\pi$
$108$	−0.142315	−	0.989821i	−0.0136943	−	0.0952456i
$109$	−5.16435	−	5.95998i	−0.494655	−	0.570863i	0.452448	−	0.891791i	$-0.350551\pi$
$109$	−5.16435	−	5.95998i	−0.494655	−	0.570863i	−0.947104	+	0.320928i	$0.896005\pi$
$110$	−10.3002	−	6.61956i	−0.982090	−	0.631151i
$111$	2.56968	−	2.96557i	0.243903	−	0.281479i
$112$	0.959493	−	0.281733i	0.0906636	−	0.0266212i
$113$	3.59975	+	7.88235i	0.338636	+	0.741509i	0.999963	−	0.00858859i	$-0.00273387\pi$
$113$	3.59975	+	7.88235i	0.338636	+	0.741509i	−0.661327	+	0.750097i	$0.730007\pi$
$114$	3.92812			0.367902
$115$	−2.19463	+	13.7902i	−0.204650	+	1.28594i
$116$	9.23984			0.857897
$117$	−0.0184179	−	0.0403296i	−0.00170274	−	0.00372848i
$118$	−8.97312	+	2.63475i	−0.826043	+	0.242548i
$119$	−3.34237	+	3.85731i	−0.306395	+	0.353599i
$120$	2.44943	+	1.57415i	0.223601	+	0.143700i
$121$	−4.37670	−	5.05098i	−0.397882	−	0.459180i
$122$	−0.668144	−	4.64704i	−0.0604909	−	0.420723i
$123$	0.481976	+	0.141521i	0.0434583	+	0.0127605i
$124$	−7.70759	+	4.95337i	−0.692162	+	0.444826i
$125$	−0.630817	+	4.38743i	−0.0564220	+	0.392424i
$126$	0.415415	−	0.909632i	0.0370081	−	0.0810365i
$127$	−0.493984	+	1.08167i	−0.0438340	+	0.0959831i	−0.930282	−	0.366845i	$-0.880438\pi$
$127$	−0.493984	+	1.08167i	−0.0438340	+	0.0959831i	0.886448	+	0.462828i	$0.153165\pi$
$128$	0.142315	−	0.989821i	0.0125790	−	0.0874887i
$129$	−7.89878	+	5.07624i	−0.695449	+	0.446938i
$130$	0.123862	+	0.0363692i	0.0108634	+	0.00318979i
$131$	−0.745673	−	5.18627i	−0.0651498	−	0.453127i	−0.996118	−	0.0880267i	$-0.971944\pi$
$131$	−0.745673	−	5.18627i	−0.0651498	−	0.453127i	0.930968	−	0.365100i	$-0.118965\pi$
$132$	2.75380	+	3.17805i	0.239687	+	0.276614i
$133$	3.30454	+	2.12370i	0.286540	+	0.184148i
$134$	−5.86631	+	6.77009i	−0.506772	+	0.584847i
$135$	2.79370	−	0.820304i	0.240443	−	0.0706005i
$136$	2.12026	+	4.64271i	0.181810	+	0.398109i
$137$	−10.9991			−0.939716			−0.469858	−	0.882742i	$-0.655695\pi$
$137$	−10.9991			−0.939716			−0.469858	+	0.882742i	$0.655695\pi$
$138$	2.05756	−	4.33203i	0.175151	−	0.368766i
$139$	3.56023			0.301975			0.150987	−	0.988536i	$-0.451755\pi$
$139$	3.56023			0.301975			0.150987	+	0.988536i	$0.451755\pi$
$140$	1.20954	+	2.64852i	0.102225	+	0.223841i
$141$	2.93356	−	0.861370i	0.247050	−	0.0725404i
$142$	−0.0879045	+	0.101447i	−0.00737678	+	0.00851326i
$143$	0.156844	+	0.100798i	0.0131160	+	0.00842912i
$144$	−0.654861	−	0.755750i	−0.0545717	−	0.0629791i
$145$	3.82871	+	26.6292i	0.317957	+	2.21144i
$146$	−9.52140	−	2.79574i	−0.787997	−	0.231377i
$147$	0.841254	−	0.540641i	0.0693854	−	0.0445913i
$148$	0.558445	−	3.88407i	0.0459039	−	0.319269i
$149$	1.80612	−	3.95486i	0.147964	−	0.323995i	−0.821109	−	0.570772i	$-0.806644\pi$
$149$	1.80612	−	3.95486i	0.147964	−	0.323995i	0.969072	+	0.246777i	$0.0793714\pi$
$150$	−1.44467	+	3.16338i	−0.117957	+	0.258289i
$151$	1.20961	−	8.41302i	0.0984366	−	0.684642i	−0.879524	−	0.475854i	$-0.842139\pi$
$151$	1.20961	−	8.41302i	0.0984366	−	0.684642i	0.977961	−	0.208788i	$-0.0669518\pi$
$152$	3.30454	−	2.12370i	0.268034	−	0.172255i
$153$	4.89720	+	1.43795i	0.395915	+	0.116251i
$154$	0.598457	+	4.16236i	0.0482251	+	0.335413i
$155$	−17.4694	−	20.1608i	−1.40318	−	1.61935i
$156$	−0.0372980	−	0.0239700i	−0.00298623	−	0.00191913i
$157$	6.52430	−	7.52945i	0.520696	−	0.600915i	−0.433109	−	0.901342i	$-0.642583\pi$
$157$	6.52430	−	7.52945i	0.520696	−	0.600915i	0.953805	+	0.300426i	$0.0971289\pi$
$158$	−2.65709	+	0.780192i	−0.211387	+	0.0620688i
$159$	3.38427	+	7.41052i	0.268390	+	0.587692i
$160$	2.91164			0.230185
$161$	4.07300	−	2.53193i	0.320997	−	0.199544i
$162$	−1.00000			−0.0785674
$163$	3.99635	+	8.75079i	0.313018	+	0.685415i	0.999114	−	0.0420972i	$-0.0134039\pi$
$163$	3.99635	+	8.75079i	0.313018	+	0.685415i	−0.686095	+	0.727512i	$0.740677\pi$
$164$	0.481976	−	0.141521i	0.0376360	−	0.0110509i
$165$	−8.01806	+	9.25334i	−0.624205	+	0.720371i
$166$	−12.9359	−	8.31339i	−1.00402	−	0.645244i
$167$	1.58231	+	1.82608i	0.122443	+	0.141307i	0.813661	−	0.581339i	$-0.197471\pi$
$167$	1.58231	+	1.82608i	0.122443	+	0.141307i	−0.691218	+	0.722646i	$0.742926\pi$
$168$	−0.142315	−	0.989821i	−0.0109798	−	0.0763664i
$169$	12.4715	+	3.66197i	0.959348	+	0.281690i
$170$	−12.5017	+	8.03438i	−0.958840	+	0.616209i
$171$	0.559030	−	3.88814i	0.0427501	−	0.297333i
$172$	−3.90045	+	8.54080i	−0.297407	+	0.651230i
$173$	−6.53267	+	14.3046i	−0.496670	+	1.08756i	0.480867	+	0.876793i	$0.340322\pi$
$173$	−6.53267	+	14.3046i	−0.496670	+	1.08756i	−0.977537	+	0.210762i	$0.932405\pi$
$174$	1.31497	−	9.14579i	0.0996873	−	0.693341i
$175$	−2.92558	+	1.88016i	−0.221153	+	0.142127i
$176$	4.03483	+	1.18473i	0.304136	+	0.0893025i
$177$	1.33092	+	9.25675i	0.100038	+	0.695780i
$178$	−12.3051	−	14.2008i	−0.922305	−	1.06440i
$179$	−1.82579	−	1.17336i	−0.136466	−	0.0877013i	0.470627	−	0.882332i	$-0.344028\pi$
$179$	−1.82579	−	1.17336i	−0.136466	−	0.0877013i	−0.607092	+	0.794631i	$0.707664\pi$
$180$	1.90672	−	2.20047i	0.142118	−	0.164013i
$181$	13.6080	−	3.99567i	1.01148	−	0.296996i	0.266319	−	0.963885i	$-0.414193\pi$
$181$	13.6080	−	3.99567i	1.01148	−	0.296996i	0.745157	+	0.666889i	$0.232374\pi$
$182$	−0.0184179	−	0.0403296i	−0.00136523	−	0.00298943i
$183$	−4.69483			−0.347052
$184$	−0.611139	−	4.75673i	−0.0450538	−	0.350671i
$185$	11.4253			0.840005
$186$	3.80605	+	8.33408i	0.279073	+	0.611084i
$187$	−20.5935	+	6.04681i	−1.50595	+	0.442186i
$188$	2.00217	−	2.31063i	0.146024	−	0.168520i
$189$	−0.841254	−	0.540641i	−0.0611922	−	0.0393258i
$190$	7.48982	+	8.64371i	0.543369	+	0.627081i
$191$	−3.91887	−	27.2564i	−0.283560	−	1.97220i	−0.227529	−	0.973771i	$-0.573065\pi$
$191$	−3.91887	−	27.2564i	−0.283560	−	1.97220i	−0.0560301	−	0.998429i	$-0.517844\pi$
$192$	−0.959493	−	0.281733i	−0.0692454	−	0.0203323i
$193$	−14.7788	+	9.49778i	−1.06380	+	0.683665i	−0.950761	−	0.309925i	$-0.899696\pi$
$193$	−14.7788	+	9.49778i	−1.06380	+	0.683665i	−0.113043	+	0.993590i	$0.536060\pi$
$194$	−0.204400	+	1.42164i	−0.0146751	+	0.102067i
$195$	0.0536264	−	0.117425i	0.00384027	−	0.00840901i
$196$	0.415415	−	0.909632i	0.0296725	−	0.0649737i
$197$	−0.938563	+	6.52785i	−0.0668699	+	0.465090i	0.928682	+	0.370877i	$0.120943\pi$
$197$	−0.938563	+	6.52785i	−0.0668699	+	0.465090i	−0.995552	+	0.0942135i	$0.969966\pi$
$198$	3.53761	−	2.27348i	0.251407	−	0.161569i
$199$	13.3206	+	3.91129i	0.944274	+	0.277264i	0.717401	−	0.696660i	$-0.245332\pi$
$199$	13.3206	+	3.91129i	0.944274	+	0.277264i	0.226873	+	0.973924i	$0.427150\pi$
$200$	0.494921	+	3.44225i	0.0349962	+	0.243404i
$201$	5.86631	+	6.77009i	0.413778	+	0.477525i
$202$	10.1668	+	6.53379i	0.715331	+	0.459716i
$203$	6.05081	−	6.98300i	0.424683	−	0.490111i
$204$	4.89720	−	1.43795i	0.342873	−	0.100676i
$205$	0.607580	+	1.33041i	0.0424352	+	0.0929201i
$206$	13.6745			0.952750
$207$	−3.99511	−	2.65313i	−0.277679	−	0.184405i
$208$	−0.0443362			−0.00307416
$209$	6.86199	+	15.0257i	0.474654	+	1.03935i
$210$	2.79370	−	0.820304i	0.192783	−	0.0566063i
$211$	6.73509	−	7.77271i	0.463663	−	0.535096i	−0.474975	−	0.879999i	$-0.657543\pi$
$211$	6.73509	−	7.77271i	0.463663	−	0.535096i	0.938638	+	0.344904i	$0.112088\pi$
$212$	6.85346	+	4.40445i	0.470698	+	0.302499i
$213$	0.0879045	+	0.101447i	0.00602311	+	0.00695104i
$214$	−2.70208	−	18.7934i	−0.184710	−	1.28469i
$215$	−26.2309	−	7.70207i	−1.78893	−	0.525277i
$216$	−0.841254	+	0.540641i	−0.0572401	+	0.0367859i
$217$	−1.30389	+	9.06878i	−0.0885140	+	0.615629i
$218$	−3.27604	+	7.17353i	−0.221881	+	0.485853i
$219$	−4.12232	+	9.02661i	−0.278560	+	0.609962i
$220$	−1.74249	+	12.1193i	−0.117479	+	0.817083i
$221$	0.190367	−	0.122341i	0.0128055	−	0.00822958i
$222$	−3.76506	−	1.10552i	−0.252694	−	0.0741978i
$223$	0.933158	+	6.49026i	0.0624889	+	0.434620i	0.996917	+	0.0784672i	$0.0250026\pi$
$223$	0.933158	+	6.49026i	0.0624889	+	0.434620i	−0.934428	+	0.356153i	$0.884088\pi$
$224$	−0.654861	−	0.755750i	−0.0437547	−	0.0504956i
$225$	2.92558	+	1.88016i	0.195039	+	0.125344i
$226$	5.67465	−	6.54889i	0.377472	−	0.435626i
$227$	10.9737	−	3.22217i	0.728350	−	0.213863i	0.103524	−	0.994627i	$-0.466988\pi$
$227$	10.9737	−	3.22217i	0.728350	−	0.213863i	0.624826	+	0.780764i	$0.285170\pi$
$228$	−1.63180	−	3.57314i	−0.108069	−	0.236637i
$229$	−15.8945			−1.05034			−0.525169	−	0.850998i	$-0.675998\pi$
$229$	−15.8945			−1.05034			−0.525169	+	0.850998i	$0.675998\pi$
$230$	13.4557	−	3.73235i	0.887241	−	0.246104i
$231$	4.20516			0.276679
$232$	−3.83837	−	8.40485i	−0.252001	−	0.551806i
$233$	18.7325	−	5.50036i	1.22721	−	0.360341i	0.397012	−	0.917813i	$-0.370047\pi$
$233$	18.7325	−	5.50036i	1.22721	−	0.360341i	0.830195	+	0.557473i	$0.188229\pi$
$234$	−0.0290341	+	0.0335071i	−0.00189802	+	0.00219043i
$235$	7.48889	+	4.81282i	0.488521	+	0.313953i
$236$	6.12422	+	7.06773i	0.398653	+	0.460070i
$237$	0.394108	+	2.74108i	0.0256000	+	0.178052i
$238$	4.89720	+	1.43795i	0.317438	+	0.0932083i
$239$	5.10091	−	3.27816i	0.329950	−	0.212046i	−0.365168	−	0.930942i	$-0.618988\pi$
$239$	5.10091	−	3.27816i	0.329950	−	0.212046i	0.695118	+	0.718895i	$0.255352\pi$
$240$	0.414370	−	2.88200i	0.0267474	−	0.186033i
$241$	0.681875	−	1.49310i	0.0439234	−	0.0961789i	−0.886398	−	0.462924i	$-0.846800\pi$
$241$	0.681875	−	1.49310i	0.0439234	−	0.0961789i	0.930322	+	0.366745i	$0.119528\pi$
$242$	−2.77639	+	6.07944i	−0.178473	+	0.390801i
$243$	−0.142315	+	0.989821i	−0.00912950	+	0.0634971i
$244$	−3.94954	+	2.53822i	−0.252843	+	0.162493i
$245$	2.79370	+	0.820304i	0.178483	+	0.0524073i
$246$	−0.0714881	−	0.497210i	−0.00455791	−	0.0317010i
$247$	−0.114049	−	0.131620i	−0.00725678	−	0.00837477i
$248$	7.70759	+	4.95337i	0.489433	+	0.314539i
$249$	−10.0697	+	11.6211i	−0.638144	+	0.736457i
$250$	4.25300	−	1.24879i	0.268983	−	0.0789806i
$251$	−7.86507	−	17.2221i	−0.496439	−	1.08705i	−0.977610	−	0.210423i	$-0.932516\pi$
$251$	−7.86507	−	17.2221i	−0.496439	−	1.08705i	0.481171	−	0.876626i	$-0.340211\pi$
$252$	−1.00000			−0.0629941
$253$	20.1650	+	0.302920i	1.26776	+	0.0190444i
$254$	1.18913			0.0746129
$255$	6.17342	+	13.5179i	0.386595	+	0.846524i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−14.3837	+	16.5997i	−0.897233	+	1.03546i	0.101939	+	0.994791i	$0.467495\pi$
$257$	−14.3837	+	16.5997i	−0.897233	+	1.03546i	−0.999173	+	0.0406716i	$0.987050\pi$
$258$	7.89878	+	5.07624i	0.491756	+	0.316033i
$259$	−2.56968	−	2.96557i	−0.159672	−	0.184272i
$260$	−0.0183716	−	0.127777i	−0.00113936	−	0.00792440i
$261$	−8.86556	−	2.60316i	−0.548764	−	0.161132i
$262$	−4.40783	+	2.83274i	−0.272317	+	0.175007i
$263$	−3.42124	+	23.7953i	−0.210963	+	1.46728i	0.558988	+	0.829176i	$0.311190\pi$
$263$	−3.42124	+	23.7953i	−0.210963	+	1.46728i	−0.769951	+	0.638103i	$0.779719\pi$
$264$	1.74689	−	3.82515i	0.107514	−	0.235422i
$265$	−9.85378	+	21.5768i	−0.605313	+	1.32545i
$266$	0.559030	−	3.88814i	0.0342763	−	0.238397i
$267$	−15.8075	+	10.1589i	−0.967402	+	0.621712i
$268$	8.59524	+	2.52379i	0.525038	+	0.154165i
$269$	4.52867	+	31.4976i	0.276118	+	1.92044i	0.378310	+	0.925679i	$0.376505\pi$
$269$	4.52867	+	31.4976i	0.276118	+	1.92044i	−0.102192	+	0.994765i	$0.532586\pi$
$270$	−1.90672	−	2.20047i	−0.116039	−	0.133916i
$271$	5.85790	+	3.76465i	0.355842	+	0.228686i	0.706332	−	0.707881i	$-0.250349\pi$
$271$	5.85790	+	3.76465i	0.355842	+	0.228686i	−0.350490	+	0.936567i	$0.613985\pi$
$272$	3.34237	−	3.85731i	0.202661	−	0.233883i
$273$	−0.0425403	+	0.0124910i	−0.00257466	+	0.000755987i
$274$	4.56919	+	10.0051i	0.276035	+	0.604432i
$275$	−14.6241			−0.881865
$276$	−4.79529	−	0.0720352i	−0.288643	−	0.00433601i
$277$	−22.7673			−1.36796			−0.683978	−	0.729503i	$-0.739751\pi$
$277$	−22.7673			−1.36796			−0.683978	+	0.729503i	$0.739751\pi$
$278$	−1.47897	−	3.23850i	−0.0887030	−	0.194232i
$279$	8.79091	−	2.58124i	0.526298	−	0.154535i
$280$	1.90672	−	2.20047i	0.113948	−	0.131503i
$281$	−7.19665	−	4.62501i	−0.429316	−	0.275905i	0.308086	−	0.951358i	$-0.400311\pi$
$281$	−7.19665	−	4.62501i	−0.429316	−	0.275905i	−0.737402	+	0.675454i	$0.763948\pi$
$282$	−2.00217	−	2.31063i	−0.119228	−	0.137596i
$283$	−3.55333	−	24.7140i	−0.211224	−	1.46909i	−0.769078	−	0.639154i	$-0.779284\pi$
$283$	−3.55333	−	24.7140i	−0.211224	−	1.46909i	0.557855	−	0.829939i	$-0.311625\pi$
$284$	0.128796	+	0.0378180i	0.00764266	+	0.00224409i
$285$	9.62164	−	6.18346i	0.569937	−	0.366276i
$286$	0.0265333	−	0.184543i	0.00156895	−	0.0109123i
$287$	0.208673	−	0.456929i	0.0123176	−	0.0269717i
$288$	−0.415415	+	0.909632i	−0.0244786	+	0.0536006i
$289$	−1.28799	+	8.95815i	−0.0757640	+	0.526950i
$290$	22.6323	−	14.5449i	1.32901	−	0.854106i
$291$	1.37808	+	0.404640i	0.0807843	+	0.0237204i
$292$	1.41224	+	9.82236i	0.0826452	+	0.574810i
$293$	2.47724	+	2.85889i	0.144722	+	0.167018i	0.823483	−	0.567342i	$-0.192028\pi$
$293$	2.47724	+	2.85889i	0.144722	+	0.167018i	−0.678761	+	0.734360i	$0.737483\pi$
$294$	−0.841254	−	0.540641i	−0.0490629	−	0.0315308i
$295$	−17.8315	+	20.5787i	−1.03819	+	1.19814i
$296$	−3.76506	+	1.10552i	−0.218840	+	0.0642572i
$297$	−1.74689	−	3.82515i	−0.101365	−	0.221958i
$298$	−4.34776			−0.251859
$299$	−0.204893	+	0.0568334i	−0.0118493	+	0.00328676i
$300$	3.47765			0.200782
$301$	3.90045	+	8.54080i	0.224818	+	0.492284i
$302$	−8.15524	+	2.39459i	−0.469281	+	0.137793i
$303$	7.91416	−	9.13343i	0.454657	−	0.524702i
$304$	−3.30454	−	2.12370i	−0.189529	−	0.121803i
$305$	−8.95171	−	10.3308i	−0.512574	−	0.591542i
$306$	−0.726367	−	5.05200i	−0.0415237	−	0.288803i
$307$	−7.11799	−	2.09003i	−0.406245	−	0.119284i	0.0722246	−	0.997388i	$-0.476990\pi$
$307$	−7.11799	−	2.09003i	−0.406245	−	0.119284i	−0.478470	+	0.878104i	$0.658808\pi$
$308$	3.53761	−	2.27348i	0.201574	−	0.129544i
$309$	1.94609	−	13.5353i	0.110709	−	0.769999i
$310$	−11.0818	+	24.2658i	−0.629406	+	1.37821i
$311$	10.7558	−	23.5520i	0.609908	−	1.33551i	−0.312729	−	0.949842i	$-0.601243\pi$
$311$	10.7558	−	23.5520i	0.609908	−	1.33551i	0.922637	−	0.385669i	$-0.126029\pi$
$312$	−0.00630970	+	0.0438849i	−0.000357217	+	0.00248450i
$313$	24.3338	−	15.6384i	1.37543	−	0.883933i	0.376332	−	0.926485i	$-0.377185\pi$
$313$	24.3338	−	15.6384i	1.37543	−	0.883933i	0.999094	+	0.0425516i	$0.0135487\pi$
$314$	−9.55932	−	2.80687i	−0.539464	−	0.158401i
$315$	−0.414370	−	2.88200i	−0.0233471	−	0.162382i
$316$	1.81348	+	2.09287i	0.102016	+	0.117733i
$317$	16.9075	+	10.8658i	0.949618	+	0.610282i	0.921106	−	0.389311i	$-0.127287\pi$
$317$	16.9075	+	10.8658i	0.949618	+	0.610282i	0.0285113	+	0.999593i	$0.490923\pi$
$318$	5.33497	−	6.15688i	0.299170	−	0.345261i
$319$	37.2811	−	10.9467i	2.08734	−	0.612899i
$320$	−1.20954	−	2.64852i	−0.0676153	−	0.148057i
$321$	−18.9866			−1.05973
$322$	−3.99511	−	2.65313i	−0.222639	−	0.147853i
$323$	20.0489			1.11555
$324$	0.415415	+	0.909632i	0.0230786	+	0.0505351i
$325$	0.147940	−	0.0434391i	0.00820624	−	0.00240957i
$326$	6.29985	−	7.27042i	0.348917	−	0.402671i
$327$	6.63428	+	4.26359i	0.366877	+	0.235777i
$328$	−0.328952	−	0.379631i	−0.0181633	−	0.0209616i
$329$	−0.435114	−	3.02628i	−0.0239886	−	0.166844i
$330$	11.7480	+	3.44951i	0.646704	+	0.189889i
$331$	11.0015	−	7.07021i	0.604695	−	0.388614i	−0.202169	−	0.979351i	$-0.564799\pi$
$331$	11.0015	−	7.07021i	0.604695	−	0.388614i	0.806864	+	0.590737i	$0.201163\pi$
$332$	−2.18836	+	15.2204i	−0.120102	+	0.835328i
$333$	−1.63009	+	3.56941i	−0.0893286	+	0.195602i
$334$	1.00375	−	2.19790i	0.0549227	−	0.120264i
$335$	−3.71197	+	25.8173i	−0.202806	+	1.41055i
$336$	−0.841254	+	0.540641i	−0.0458941	+	0.0294944i
$337$	−3.00543	−	0.882474i	−0.163716	−	0.0480714i	0.198847	−	0.980030i	$-0.436280\pi$
$337$	−3.00543	−	0.882474i	−0.163716	−	0.0480714i	−0.362564	+	0.931959i	$0.618098\pi$
$338$	−1.84981	−	12.8657i	−0.100617	−	0.699804i
$339$	−5.67465	−	6.54889i	−0.308204	−	0.355687i
$340$	12.5017	+	8.03438i	0.678002	+	0.435726i
$341$	−25.2304	+	29.1174i	−1.36630	+	1.57680i
$342$	−3.76900	+	1.10668i	−0.203804	+	0.0598424i
$343$	−0.415415	−	0.909632i	−0.0224303	−	0.0491155i
$344$	9.38930			0.506237
$345$	−1.77942	−	13.8499i	−0.0958006	−	0.745653i
$346$	15.7257			0.845417
$347$	−5.77222	−	12.6394i	−0.309869	−	0.678519i	0.689064	−	0.724701i	$-0.258022\pi$
$347$	−5.77222	−	12.6394i	−0.309869	−	0.678519i	−0.998933	+	0.0461819i	$0.985295\pi$
$348$	−8.86556	+	2.60316i	−0.475244	+	0.139544i
$349$	14.5918	−	16.8398i	0.781080	−	0.901414i	−0.216107	−	0.976370i	$-0.569336\pi$
$349$	14.5918	−	16.8398i	0.781080	−	0.901414i	0.997187	+	0.0749557i	$0.0238815\pi$
$350$	2.92558	+	1.88016i	0.156379	+	0.100499i
$351$	0.0290341	+	0.0335071i	0.00154972	+	0.00178848i
$352$	−0.598457	−	4.16236i	−0.0318979	−	0.221855i
$353$	1.00277	+	0.294441i	0.0533723	+	0.0156715i	0.308310	−	0.951286i	$-0.400237\pi$
$353$	1.00277	+	0.294441i	0.0533723	+	0.0156715i	−0.254937	+	0.966958i	$0.582055\pi$
$354$	7.86735	−	5.05604i	0.418145	−	0.268726i
$355$	−0.0556224	+	0.386862i	−0.00295213	+	0.0205325i
$356$	−7.80581	+	17.0923i	−0.413707	+	0.905892i
$357$	2.12026	−	4.64271i	0.112216	−	0.245718i
$358$	−0.308869	+	2.14823i	−0.0163242	+	0.113537i
$359$	30.9410	−	19.8846i	1.63300	−	1.04947i	0.686323	−	0.727297i	$-0.259224\pi$
$359$	30.9410	−	19.8846i	1.63300	−	1.04947i	0.946681	−	0.322171i	$-0.104413\pi$
$360$	−2.79370	−	0.820304i	−0.147241	−	0.0432338i
$361$	0.508046	+	3.53354i	0.0267393	+	0.185976i
$362$	−9.28757	−	10.7184i	−0.488144	−	0.563348i
$363$	5.62244	+	3.61332i	0.295101	+	0.189650i
$364$	−0.0290341	+	0.0335071i	−0.00152180	+	0.00175625i
$365$	−27.7229	+	8.14017i	−1.45108	+	0.426076i
$366$	1.95030	+	4.27056i	0.101944	+	0.223226i
$367$	−16.4949			−0.861024			−0.430512	−	0.902585i	$-0.641667\pi$
$367$	−16.4949			−0.861024			−0.430512	+	0.902585i	$0.641667\pi$
$368$	−4.07300	+	2.53193i	−0.212320	+	0.131986i
$369$	−0.502323			−0.0261499
$370$	−4.74624	−	10.3928i	−0.246746	−	0.540297i
$371$	7.81672	−	2.29520i	0.405824	−	0.119161i
$372$	5.99986	−	6.92420i	0.311078	−	0.359003i
$373$	−13.2650	−	8.52491i	−0.686836	−	0.441403i	0.150124	−	0.988667i	$-0.452033\pi$
$373$	−13.2650	−	8.52491i	−0.686836	−	0.441403i	−0.836960	+	0.547264i	$0.815669\pi$
$374$	14.0552	+	16.2206i	0.726779	+	0.838747i
$375$	−0.630817	−	4.38743i	−0.0325753	−	0.226566i
$376$	−2.93356	−	0.861370i	−0.151287	−	0.0444218i
$377$	−0.344628	+	0.221479i	−0.0177492	+	0.0114067i
$378$	−0.142315	+	0.989821i	−0.00731989	+	0.0509109i
$379$	−5.33857	+	11.6898i	−0.274224	+	0.600467i	−0.995768	−	0.0919017i	$-0.970705\pi$
$379$	−5.33857	+	11.6898i	−0.274224	+	0.600467i	0.721544	+	0.692369i	$0.243433\pi$
$380$	4.75121	−	10.4037i	0.243732	−	0.533699i
$381$	0.169231	−	1.17703i	0.00866999	−	0.0603011i
$382$	−23.1653	+	14.8874i	−1.18524	+	0.761707i
$383$	−30.1597	−	8.85570i	−1.54109	−	0.452505i	−0.602667	−	0.797992i	$-0.705895\pi$
$383$	−30.1597	−	8.85570i	−1.54109	−	0.452505i	−0.938423	+	0.345487i	$0.887714\pi$
$384$	0.142315	+	0.989821i	0.00726247	+	0.0505116i
$385$	8.01806	+	9.25334i	0.408638	+	0.471594i
$386$	14.7788	+	9.49778i	0.752223	+	0.483424i
$387$	6.14868	−	7.09596i	0.312555	−	0.360708i
$388$	1.37808	−	0.404640i	0.0699612	−	0.0205425i
$389$	−11.9736	−	26.2186i	−0.607087	−	1.32934i	−0.924549	−	0.381064i	$-0.875558\pi$
$389$	−11.9736	−	26.2186i	−0.607087	−	1.32934i	0.317462	−	0.948271i	$-0.397170\pi$
$390$	−0.129091			−0.00653678
$391$	10.5017	−	22.1104i	0.531093	−	1.11817i
$392$	−1.00000			−0.0505076
$393$	2.17661	+	4.76611i	0.109795	+	0.240418i
$394$	6.32784	−	1.85802i	0.318792	−	0.0936057i
$395$	−5.28021	+	6.09369i	−0.265676	+	0.306607i
$396$	−3.53761	−	2.27348i	−0.177772	−	0.114247i
$397$	0.417916	+	0.482301i	0.0209746	+	0.0242060i	0.766140	−	0.642674i	$-0.222175\pi$
$397$	0.417916	+	0.482301i	0.0209746	+	0.0242060i	−0.745165	+	0.666880i	$0.767629\pi$
$398$	−1.97575	−	13.7417i	−0.0990356	−	0.688808i
$399$	−3.76900	−	1.10668i	−0.188686	−	0.0554033i
$400$	2.92558	−	1.88016i	0.146279	−	0.0940079i
$401$	−1.71364	+	11.9187i	−0.0855753	+	0.595190i	0.901238	+	0.433325i	$0.142660\pi$
$401$	−1.71364	+	11.9187i	−0.0855753	+	0.595190i	−0.986813	+	0.161864i	$0.948249\pi$
$402$	3.72133	−	8.14858i	0.185603	−	0.406414i
$403$	0.168746	−	0.369502i	0.00840582	−	0.0184062i
$404$	1.71991	−	11.9623i	0.0855688	−	0.595144i
$405$	−2.44943	+	1.57415i	−0.121713	+	0.0782202i
$406$	−8.86556	−	2.60316i	−0.439990	−	0.129193i
$407$	−2.34835	−	16.3332i	−0.116404	−	0.809604i
$408$	−3.34237	−	3.85731i	−0.165472	−	0.190965i
$409$	−22.4762	−	14.4446i	−1.11138	−	0.714239i	−0.149785	−	0.988719i	$-0.547858\pi$
$409$	−22.4762	−	14.4446i	−1.11138	−	0.714239i	−0.961593	+	0.274479i	$0.911494\pi$
$410$	0.957789	−	1.10535i	0.0473018	−	0.0545892i
$411$	10.5536	−	3.09880i	0.520568	−	0.152853i
$412$	−5.68061	−	12.4388i	−0.279863	−	0.612815i
$413$	9.35194			0.460179
$414$	−0.753743	+	4.73623i	−0.0370444	+	0.232773i
$415$	−44.7720			−2.19777
$416$	0.0184179	+	0.0403296i	0.000903013	+	0.00197732i
$417$	−3.41602	+	1.00303i	−0.167283	+	0.0491188i
$418$	10.8172	−	12.4838i	0.529089	−	0.610601i
$419$	19.5224	+	12.5463i	0.953734	+	0.612928i	0.922257	−	0.386577i	$-0.126343\pi$
$419$	19.5224	+	12.5463i	0.953734	+	0.612928i	0.0314767	+	0.999504i	$0.489979\pi$
$420$	−1.90672	−	2.20047i	−0.0930383	−	0.107372i
$421$	−4.25737	−	29.6106i	−0.207491	−	1.44313i	−0.781305	−	0.624149i	$-0.785446\pi$
$421$	−4.25737	−	29.6106i	−0.207491	−	1.44313i	0.573814	−	0.818986i	$-0.305463\pi$
$422$	−9.86817	−	2.89755i	−0.480375	−	0.141051i
$423$	−2.57205	+	1.65296i	−0.125057	+	0.0803695i
$424$	1.15940	−	8.06380i	0.0563054	−	0.391613i
$425$	−7.37350	+	16.1457i	−0.357667	+	0.783182i
$426$	0.0557627	−	0.122103i	0.00270171	−	0.00591593i
$427$	−0.668144	+	4.64704i	−0.0323337	+	0.224886i
$428$	−15.9726	+	10.2649i	−0.772062	+	0.496174i
$429$	−0.178889	−	0.0525265i	−0.00863684	−	0.00253600i
$430$	3.89064	+	27.0600i	0.187623	+	1.30495i
$431$	−14.8337	−	17.1190i	−0.714515	−	0.824595i	0.276121	−	0.961123i	$-0.410951\pi$
$431$	−14.8337	−	17.1190i	−0.714515	−	0.824595i	−0.990636	+	0.136528i	$0.956406\pi$
$432$	0.841254	+	0.540641i	0.0404748	+	0.0260116i
$433$	2.75761	−	3.18246i	0.132522	−	0.152939i	−0.685610	−	0.727969i	$-0.740464\pi$
$433$	2.75761	−	3.18246i	0.132522	−	0.152939i	0.818132	+	0.575030i	$0.195010\pi$
$434$	8.79091	−	2.58124i	0.421977	−	0.123904i
$435$	−11.1759	−	24.4719i	−0.535845	−	1.17334i
$436$	7.88619			0.377680
$437$	−17.9937	−	5.57835i	−0.860758	−	0.266849i
$438$	9.92337			0.474157
$439$	2.83246	+	6.20222i	0.135186	+	0.296016i	0.965103	−	0.261871i	$-0.0843395\pi$
$439$	2.83246	+	6.20222i	0.135186	+	0.296016i	−0.829917	+	0.557887i	$0.811612\pi$
$440$	11.7480	−	3.44951i	0.560062	−	0.164449i
$441$	−0.654861	+	0.755750i	−0.0311838	+	0.0359881i
$442$	−0.190367	−	0.122341i	−0.00905484	−	0.00581919i
$443$	−2.09035	−	2.41240i	−0.0993157	−	0.114616i	0.703916	−	0.710283i	$-0.251433\pi$
$443$	−2.09035	−	2.41240i	−0.0993157	−	0.114616i	−0.803231	+	0.595667i	$0.796888\pi$
$444$	0.558445	+	3.88407i	0.0265026	+	0.184330i
$445$	−52.4947	−	15.4138i	−2.48849	−	0.730686i
$446$	5.51610	−	3.54498i	0.261195	−	0.167860i
$447$	−0.618751	+	4.30351i	−0.0292659	+	0.203549i
$448$	−0.415415	+	0.909632i	−0.0196265	+	0.0429761i
$449$	−0.503538	+	1.10260i	−0.0237634	+	0.0520347i	−0.921142	−	0.389228i	$-0.872742\pi$
$449$	−0.503538	+	1.10260i	−0.0237634	+	0.0520347i	0.897378	+	0.441262i	$0.145469\pi$
$450$	0.494921	−	3.44225i	0.0233308	−	0.162269i
$451$	1.77702	−	1.14202i	0.0836768	−	0.0537758i
$452$	−8.31441	−	2.44133i	−0.391077	−	0.114831i
$453$	1.20961	+	8.41302i	0.0568324	+	0.395278i
$454$	−7.48963	−	8.64350i	−0.351506	−	0.405659i
$455$	−0.108598	−	0.0697919i	−0.00509117	−	0.00327190i
$456$	−2.57237	+	2.96868i	−0.120462	+	0.139021i
$457$	−33.6462	+	9.87941i	−1.57390	+	0.462139i	−0.948134	−	0.317871i	$-0.897032\pi$
$457$	−33.6462	+	9.87941i	−1.57390	+	0.462139i	−0.625767	+	0.780010i	$0.715214\pi$
$458$	6.60281	+	14.4581i	0.308529	+	0.675584i
$459$	−5.10395			−0.238232
$460$	−8.98476	−	10.6892i	−0.418916	−	0.498389i
$461$	−0.126114			−0.00587372			−0.00293686	−	0.999996i	$-0.500935\pi$
$461$	−0.126114			−0.00587372			−0.00293686	+	0.999996i	$0.500935\pi$
$462$	−1.74689	−	3.82515i	−0.0812726	−	0.177962i
$463$	3.47683	−	1.02089i	0.161582	−	0.0474447i	−0.199941	−	0.979808i	$-0.564075\pi$
$463$	3.47683	−	1.02089i	0.161582	−	0.0474447i	0.361523	+	0.932363i	$0.382257\pi$
$464$	−6.05081	+	6.98300i	−0.280902	+	0.324178i
$465$	22.4417	+	14.4224i	1.04071	+	0.668824i
$466$	−12.7851	−	14.7548i	−0.592257	−	0.683501i
$467$	2.45588	+	17.0810i	0.113645	+	0.790415i	0.964323	+	0.264729i	$0.0852824\pi$
$467$	2.45588	+	17.0810i	0.113645	+	0.790415i	−0.850678	+	0.525686i	$0.823809\pi$
$468$	0.0425403	+	0.0124910i	0.00196643	+	0.000577395i
$469$	7.53604	−	4.84312i	0.347982	−	0.223634i
$470$	1.26689	−	8.81145i	0.0584375	−	0.406442i
$471$	−4.13873	+	9.06256i	−0.190703	+	0.417581i
$472$	3.88494	−	8.50683i	0.178819	−	0.391558i
$473$	−5.61909	+	39.0816i	−0.258366	+	1.79698i
$474$	2.32965	−	1.49718i	0.107005	−	0.0687677i
$475$	13.1073	+	3.84864i	0.601402	+	0.176588i
$476$	−0.726367	−	5.05200i	−0.0332930	−	0.231558i
$477$	−5.33497	−	6.15688i	−0.244271	−	0.281904i
$478$	−5.10091	−	3.27816i	−0.233310	−	0.149939i
$479$	18.4641	−	21.3087i	0.843646	−	0.973620i	−0.156254	−	0.987717i	$-0.549942\pi$
$479$	18.4641	−	21.3087i	0.843646	−	0.973620i	0.999901	+	0.0140970i	$0.00448736\pi$
$480$	−2.79370	+	0.820304i	−0.127514	+	0.0374416i
$481$	0.0722722	+	0.158254i	0.00329533	+	0.00721576i
$482$	−1.64143			−0.0747651
$483$	−3.19469	+	3.57687i	−0.145363	+	0.162753i
$484$	6.68340			0.303791
$485$	1.73721	+	3.80395i	0.0788824	+	0.172728i
$486$	0.959493	−	0.281733i	0.0435235	−	0.0127796i
$487$	3.91039	−	4.51283i	0.177196	−	0.204496i	−0.660203	−	0.751088i	$-0.729530\pi$
$487$	3.91039	−	4.51283i	0.177196	−	0.204496i	0.837399	+	0.546592i	$0.184075\pi$
$488$	3.94954	+	2.53822i	0.178787	+	0.114900i
$489$	−6.29985	−	7.27042i	−0.284889	−	0.328780i
$490$	−0.414370	−	2.88200i	−0.0187193	−	0.130196i
$491$	−30.4130	−	8.93007i	−1.37252	−	0.403008i	−0.489361	−	0.872081i	$-0.662770\pi$
$491$	−30.4130	−	8.93007i	−1.37252	−	0.403008i	−0.883159	+	0.469073i	$0.844588\pi$
$492$	−0.422581	+	0.271576i	−0.0190514	+	0.0122436i
$493$	6.71152	−	46.6796i	0.302271	−	2.10234i
$494$	−0.0723479	+	0.158420i	−0.00325508	+	0.00712764i
$495$	5.08631	−	11.1375i	0.228613	−	0.500592i
$496$	1.30389	−	9.06878i	0.0585465	−	0.407200i
$497$	0.112925	−	0.0725723i	0.00506536	−	0.00325531i
$498$	14.7540	+	4.33218i	0.661144	+	0.194129i
$499$	−1.28727	−	8.95313i	−0.0576260	−	0.400797i	−0.998136	−	0.0610311i	$-0.980561\pi$
$499$	−1.28727	−	8.95313i	−0.0576260	−	0.400797i	0.940510	−	0.339766i	$-0.110348\pi$
$500$	−2.90270	−	3.34990i	−0.129813	−	0.149812i
$501$	−2.03268	−	1.30633i	−0.0908135	−	0.0583623i
$502$	−12.3985	+	14.3086i	−0.553373	+	0.638626i
$503$	5.38817	−	1.58211i	0.240246	−	0.0705427i	−0.159393	−	0.987215i	$-0.550954\pi$
$503$	5.38817	−	1.58211i	0.240246	−	0.0705427i	0.399639	+	0.916673i	$0.369135\pi$
$504$	0.415415	+	0.909632i	0.0185041	+	0.0405182i
$505$	35.1879			1.56584
$506$	−8.10129	−	18.4685i	−0.360146	−	0.821027i
$507$	−12.9980			−0.577263
$508$	−0.493984	−	1.08167i	−0.0219170	−	0.0479915i
$509$	−4.38972	+	1.28894i	−0.194571	+	0.0571312i	−0.377566	−	0.925983i	$-0.623239\pi$
$509$	−4.38972	+	1.28894i	−0.194571	+	0.0571312i	0.182995	+	0.983114i	$0.441421\pi$
$510$	9.73179	−	11.2311i	0.430931	−	0.497321i
$511$	8.34807	+	5.36498i	0.369297	+	0.237333i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	0.559030	+	3.88814i	0.0246818	+	0.171665i
$514$	21.0749	+	6.18814i	0.929572	+	0.272947i
$515$	33.4948	−	21.5258i	1.47596	−	0.948539i
$516$	1.33624	−	9.29373i	0.0588245	−	0.409133i
$517$	5.34094	−	11.6950i	0.234894	−	0.514347i
$518$	−1.63009	+	3.56941i	−0.0716222	+	0.156831i
$519$	2.23799	−	15.5656i	0.0982370	−	0.683254i
$520$	−0.108598	+	0.0697919i	−0.00476235	+	0.00306058i
$521$	13.1653	+	3.86568i	0.576782	+	0.169358i	0.557096	−	0.830448i	$-0.311915\pi$
$521$	13.1653	+	3.86568i	0.576782	+	0.169358i	0.0196853	+	0.999806i	$0.493734\pi$
$522$	1.31497	+	9.14579i	0.0575545	+	0.400300i
$523$	−8.99475	−	10.3805i	−0.393313	−	0.453907i	0.524211	−	0.851589i	$-0.324360\pi$
$523$	−8.99475	−	10.3805i	−0.393313	−	0.453907i	−0.917524	+	0.397681i	$0.869815\pi$
$524$	4.40783	+	2.83274i	0.192557	+	0.123749i
$525$	2.27737	−	2.62823i	0.0993927	−	0.114705i
$526$	23.0662	−	6.77284i	1.00573	−	0.295310i
$527$	19.4259	+	42.5367i	0.846204	+	1.85293i
$528$	−4.20516			−0.183006
$529$	−15.5771	+	16.9220i	−0.677266	+	0.735738i
$530$	23.7203			1.03034
$531$	−3.88494	−	8.50683i	−0.168592	−	0.369165i
$532$	−3.76900	+	1.10668i	−0.163407	+	0.0479806i
$533$	−0.0145845	+	0.0168314i	−0.000631724	+	0.000729048i
$534$	15.8075	+	10.1589i	0.684057	+	0.439617i
$535$	−36.2021	−	41.7795i	−1.56515	−	1.80628i
$536$	−1.27487	−	8.86693i	−0.0550661	−	0.382993i
$537$	2.08241	+	0.611450i	0.0898625	+	0.0263860i
$538$	26.7700	−	17.2040i	1.15414	−	0.741718i
$539$	0.598457	−	4.16236i	0.0257774	−	0.179286i
$540$	−1.20954	+	2.64852i	−0.0520503	+	0.113974i
$541$	−10.5380	+	23.0750i	−0.453064	+	0.992071i	0.535951	+	0.844249i	$0.319953\pi$
$541$	−10.5380	+	23.0750i	−0.453064	+	0.992071i	−0.989014	+	0.147821i	$0.952774\pi$
$542$	0.990982	−	6.89243i	0.0425663	−	0.296055i
$543$	−11.9311	+	7.66764i	−0.512012	+	0.329050i
$544$	−4.89720	−	1.43795i	−0.209966	−	0.0616515i
$545$	3.26780	+	22.7280i	0.139977	+	0.973561i
$546$	0.0290341	+	0.0335071i	0.00124254	+	0.00143397i
$547$	−17.7789	−	11.4258i	−0.760172	−	0.488533i	0.102228	−	0.994761i	$-0.467403\pi$
$547$	−17.7789	−	11.4258i	−0.760172	−	0.488533i	−0.862399	+	0.506228i	$0.831039\pi$
$548$	7.20288	−	8.31256i	0.307692	−	0.355095i
$549$	4.50465	−	1.32269i	0.192254	−	0.0564508i
$550$	6.07506	+	13.3025i	0.259041	+	0.567221i
$551$	−36.2952			−1.54623
$552$	1.92651	+	4.39187i	0.0819977	+	0.186931i
$553$	2.76927			0.117761
$554$	9.45789	+	20.7099i	0.401827	+	0.879878i
$555$	−10.9625	+	3.21888i	−0.465332	+	0.136634i
$556$	−2.33146	+	2.69064i	−0.0988758	+	0.114109i
$557$	−14.6625	−	9.42303i	−0.621271	−	0.399267i	0.191798	−	0.981434i	$-0.438568\pi$
$557$	−14.6625	−	9.42303i	−0.621271	−	0.399267i	−0.813069	+	0.582168i	$0.802205\pi$
$558$	−5.99986	−	6.92420i	−0.253994	−	0.293125i
$559$	−0.0592437	−	0.412049i	−0.00250574	−	0.0174278i
$560$	−2.79370	−	0.820304i	−0.118055	−	0.0346642i
$561$	18.0558	−	11.6037i	0.762315	−	0.489910i
$562$	−1.21746	+	8.46760i	−0.0513553	+	0.357184i
$563$	−3.49132	+	7.64492i	−0.147141	+	0.322195i	−0.968824	−	0.247751i	$-0.920309\pi$
$563$	−3.49132	+	7.64492i	−0.147141	+	0.322195i	0.821682	+	0.569946i	$0.193036\pi$
$564$	−1.27009	+	2.78111i	−0.0534805	+	0.117106i
$565$	3.59069	−	24.9738i	0.151061	−	1.05065i
$566$	−21.0045	+	13.4988i	−0.882885	+	0.567396i
$567$	0.959493	+	0.281733i	0.0402949	+	0.0118317i
$568$	−0.0191035	−	0.132868i	−0.000801564	−	0.00557500i
$569$	21.1884	+	24.4527i	0.888264	+	1.02511i	0.999509	+	0.0313186i	$0.00997066\pi$
$569$	21.1884	+	24.4527i	0.888264	+	1.02511i	−0.111245	+	0.993793i	$0.535484\pi$
$570$	−9.62164	−	6.18346i	−0.403006	−	0.258996i
$571$	−6.23664	+	7.19747i	−0.260995	+	0.301205i	−0.871090	−	0.491124i	$-0.836586\pi$
$571$	−6.23664	+	7.19747i	−0.260995	+	0.301205i	0.610094	+	0.792329i	$0.291132\pi$
$572$	−0.178889	+	0.0525265i	−0.00747972	+	0.00219624i
$573$	11.4391	+	25.0482i	0.477877	+	1.04640i
$574$	−0.502323			−0.0209666
$575$	11.1100	−	12.4391i	0.463319	−	0.518745i
$576$	1.00000			0.0416667
$577$	−4.19296	−	9.18130i	−0.174555	−	0.382222i	0.802052	−	0.597254i	$-0.203742\pi$
$577$	−4.19296	−	9.18130i	−0.174555	−	0.382222i	−0.976607	+	0.215032i	$0.931014\pi$
$578$	8.68367	−	2.54976i	0.361193	−	0.106056i
$579$	11.5044	−	13.2767i	0.478105	−	0.551762i
$580$	−22.6323	−	14.5449i	−0.939755	−	0.603944i
$581$	10.0697	+	11.6211i	0.417763	+	0.482124i
$582$	−0.204400	−	1.42164i	−0.00847267	−	0.0589287i
$583$	32.8706	+	9.65168i	1.36136	+	0.399732i
$584$	8.34807	−	5.36498i	0.345445	−	0.222004i
$585$	−0.0183716	+	0.127777i	−0.000759571	+	0.00528293i
$586$	1.57145	−	3.44100i	0.0649162	−	0.142147i
$587$	−19.7127	+	43.1648i	−0.813629	+	1.78160i	−0.222680	+	0.974892i	$0.571480\pi$
$587$	−19.7127	+	43.1648i	−0.813629	+	1.78160i	−0.590950	+	0.806708i	$0.701247\pi$
$588$	−0.142315	+	0.989821i	−0.00586897	+	0.0408195i
$589$	30.2764	−	19.4574i	1.24752	−	0.801729i
$590$	26.1265	+	7.67143i	1.07561	+	0.315828i
$591$	−0.938563	−	6.52785i	−0.0386073	−	0.268520i
$592$	2.56968	+	2.96557i	0.105613	+	0.121884i
$593$	17.8202	+	11.4524i	0.731790	+	0.470293i	0.852720	−	0.522368i	$-0.174951\pi$
$593$	17.8202	+	11.4524i	0.731790	+	0.470293i	−0.120930	+	0.992661i	$0.538588\pi$
$594$	−2.75380	+	3.17805i	−0.112990	+	0.130397i
$595$	14.2589	−	4.18679i	0.584557	−	0.171641i
$596$	1.80612	+	3.95486i	0.0739818	+	0.161997i
$597$	−13.8830			−0.568193
$598$	0.136813	+	0.162768i	0.00559470	+	0.00665606i
$599$	28.3940			1.16015			0.580074	−	0.814564i	$-0.303024\pi$
$599$	28.3940			1.16015			0.580074	+	0.814564i	$0.303024\pi$
$600$	−1.44467	−	3.16338i	−0.0589783	−	0.129144i
$601$	20.3788	−	5.98376i	0.831269	−	0.244083i	0.161707	−	0.986839i	$-0.448300\pi$
$601$	20.3788	−	5.98376i	0.831269	−	0.244083i	0.669562	+	0.742756i	$0.266482\pi$
$602$	6.14868	−	7.09596i	0.250602	−	0.289210i
$603$	−7.53604	−	4.84312i	−0.306891	−	0.197227i
$604$	5.56601	+	6.42352i	0.226478	+	0.261369i
$605$	2.76940	+	19.2616i	0.112592	+	0.783095i
$606$	−11.5957	−	3.40481i	−0.471044	−	0.138311i
$607$	39.3578	−	25.2937i	1.59748	−	1.02664i	0.629050	−	0.777365i	$-0.283444\pi$
$607$	39.3578	−	25.2937i	1.59748	−	1.02664i	0.968433	−	0.249275i	$-0.0801923\pi$
$608$	−0.559030	+	3.88814i	−0.0226717	+	0.157685i
$609$	−3.83837	+	8.40485i	−0.155538	+	0.340582i
$610$	−5.67858	+	12.4343i	−0.229919	+	0.503452i
$611$	−0.0192913	+	0.134174i	−0.000780443	+	0.00542810i
$612$	−4.29371	+	2.75940i	−0.173563	+	0.111542i
$613$	2.84610	+	0.835691i	0.114953	+	0.0337532i	0.338703	−	0.940893i	$-0.390012\pi$
$613$	2.84610	+	0.835691i	0.114953	+	0.0337532i	−0.223750	+	0.974647i	$0.571830\pi$
$614$	1.05576	+	7.34298i	0.0426071	+	0.296339i
$615$	−0.957789	−	1.10535i	−0.0386218	−	0.0445719i
$616$	−3.53761	−	2.27348i	−0.142534	−	0.0916012i
$617$	7.05037	−	8.13656i	0.283837	−	0.327565i	−0.595870	−	0.803081i	$-0.703193\pi$
$617$	7.05037	−	8.13656i	0.283837	−	0.327565i	0.879708	+	0.475515i	$0.157738\pi$
$618$	−13.1206	+	3.85256i	−0.527789	+	0.154973i
$619$	−3.52326	−	7.71485i	−0.141612	−	0.310086i	0.825516	−	0.564379i	$-0.190884\pi$
$619$	−3.52326	−	7.71485i	−0.141612	−	0.310086i	−0.967127	+	0.254293i	$0.918157\pi$
$620$	26.6765			1.07136
$621$	4.58075	+	1.42011i	0.183819	+	0.0569869i
$622$	−25.8918			−1.03817
$623$	7.80581	+	17.0923i	0.312733	+	0.684790i
$624$	0.0425403	−	0.0124910i	0.00170297	−	0.000500039i
$625$	19.8385	−	22.8948i	0.793540	−	0.915793i
$626$	−24.3338	−	15.6384i	−0.972574	−	0.625035i
$627$	−10.8172	−	12.4838i	−0.431999	−	0.498554i
$628$	1.41787	+	9.86148i	0.0565790	+	0.393516i
$629$	−19.2167	−	5.64252i	−0.766219	−	0.224982i
$630$	−2.44943	+	1.57415i	−0.0975875	+	0.0627157i
$631$	−6.14456	+	42.7364i	−0.244611	+	1.70131i	0.383792	+	0.923419i	$0.374618\pi$
$631$	−6.14456	+	42.7364i	−0.244611	+	1.70131i	−0.628403	+	0.777888i	$0.716291\pi$
$632$	1.15039	−	2.51901i	0.0457602	−	0.100201i
$633$	−4.27245	+	9.35536i	−0.169815	+	0.371842i
$634$	2.86023	−	19.8934i	0.113594	−	0.790067i
$635$	2.91270	−	1.87188i	0.115587	−	0.0742832i
$636$	−7.81672	−	2.29520i	−0.309953	−	0.0910105i
$637$	0.00630970	+	0.0438849i	0.000250000	+	0.00173878i
$638$	−25.4446	−	29.3647i	−1.00736	−	1.16256i
$639$	−0.112925	−	0.0725723i	−0.00446723	−	0.00287092i
$640$	−1.90672	+	2.20047i	−0.0753697	+	0.0869812i
$641$	−1.28084	+	0.376089i	−0.0505902	+	0.0148546i	−0.306930	−	0.951732i	$-0.599302\pi$
$641$	−1.28084	+	0.376089i	−0.0505902	+	0.0148546i	0.256340	+	0.966587i	$0.417483\pi$
$642$	7.88732	+	17.2708i	0.311288	+	0.681625i
$643$	−32.9355			−1.29885			−0.649425	−	0.760425i	$-0.724991\pi$
$643$	−32.9355			−1.29885			−0.649425	+	0.760425i	$0.724991\pi$
$644$	−0.753743	+	4.73623i	−0.0297016	+	0.186634i
$645$	27.3382			1.07644
$646$	−8.32862	−	18.2371i	−0.327685	−	0.717530i
$647$	−31.1734	+	9.15335i	−1.22555	+	0.359855i	−0.829570	−	0.558402i	$-0.811415\pi$
$647$	−31.1734	+	9.15335i	−1.22555	+	0.359855i	−0.395984	+	0.918257i	$0.629596\pi$
$648$	0.654861	−	0.755750i	0.0257254	−	0.0296886i
$649$	33.0835	+	21.2615i	1.29864	+	0.834586i
$650$	−0.100970	−	0.116526i	−0.00396038	−	0.00457052i
$651$	−1.30389	−	9.06878i	−0.0511036	−	0.355433i
$652$	−9.23046	−	2.71031i	−0.361493	−	0.106144i
$653$	−34.2980	+	22.0420i	−1.34218	+	0.862569i	−0.997107	−	0.0760063i	$-0.975783\pi$
$653$	−34.2980	+	22.0420i	−1.34218	+	0.862569i	−0.345076	+	0.938575i	$0.612147\pi$
$654$	1.12232	−	7.80592i	0.0438862	−	0.305235i
$655$	−6.33750	+	13.8772i	−0.247627	+	0.542227i
$656$	−0.208673	+	0.456929i	−0.00814730	+	0.0178401i
$657$	1.41224	−	9.82236i	0.0550968	−	0.383207i
$658$	−2.57205	+	1.65296i	−0.100269	+	0.0644390i
$659$	26.1428	+	7.67622i	1.01838	+	0.299023i	0.747977	−	0.663724i	$-0.231025\pi$
$659$	26.1428	+	7.67622i	1.01838	+	0.299023i	0.270402	+	0.962747i	$0.412843\pi$
$660$	−1.74249	−	12.1193i	−0.0678264	−	0.471743i
$661$	−15.0926	−	17.4178i	−0.587035	−	0.677474i	0.382067	−	0.924134i	$-0.375212\pi$
$661$	−15.0926	−	17.4178i	−0.587035	−	0.677474i	−0.969102	+	0.246660i	$0.920667\pi$
$662$	−11.0015	−	7.07021i	−0.427584	−	0.274792i
$663$	−0.148188	+	0.171018i	−0.00575515	+	0.00664180i
$664$	14.7540	−	4.33218i	0.572568	−	0.168121i
$665$	−4.75121	−	10.4037i	−0.184244	−	0.403438i
$666$	3.92401			0.152052
$667$	−19.0115	+	40.0272i	−0.736129	+	1.54986i
$668$	−2.41625			−0.0934877
$669$	−2.72388	−	5.96446i	−0.105311	−	0.230599i
$670$	25.0263	−	7.34837i	0.966848	−	0.283892i
$671$	−12.9286	+	14.9204i	−0.499103	+	0.575996i
$672$	0.841254	+	0.540641i	0.0324521	+	0.0208557i
$673$	−14.4954	−	16.7286i	−0.558756	−	0.644839i	0.404145	−	0.914695i	$-0.367569\pi$
$673$	−14.4954	−	16.7286i	−0.558756	−	0.644839i	−0.962901	+	0.269856i	$0.913024\pi$
$674$	0.445775	+	3.10043i	0.0171706	+	0.119424i
$675$	−3.33678	−	0.979766i	−0.128433	−	0.0377112i
$676$	−10.9346	+	7.02727i	−0.420563	+	0.270280i
$677$	6.75686	−	46.9950i	0.259687	−	1.80616i	−0.275358	−	0.961342i	$-0.588797\pi$
$677$	6.75686	−	46.9950i	0.259687	−	1.80616i	0.535046	−	0.844823i	$-0.320294\pi$
$678$	−3.59975	+	7.88235i	−0.138247	+	0.302720i
$679$	0.596642	−	1.30646i	0.0228970	−	0.0501374i
$680$	2.11492	−	14.7096i	0.0811035	−	0.564087i
$681$	−9.62140	+	6.18330i	−0.368693	+	0.236945i
$682$	36.9672	+	10.8546i	1.41555	+	0.415642i
$683$	−0.0491398	−	0.341775i	−0.00188028	−	0.0130776i	0.988860	−	0.148851i	$-0.0475573\pi$
$683$	−0.0491398	−	0.341775i	−0.00188028	−	0.0130776i	−0.990740	+	0.135773i	$0.956648\pi$
$684$	2.57237	+	2.96868i	0.0983571	+	0.113510i
$685$	26.9415	+	17.3142i	1.02938	+	0.661543i
$686$	−0.654861	+	0.755750i	−0.0250027	+	0.0288547i
$687$	15.2506	−	4.47799i	0.581848	−	0.170846i
$688$	−3.90045	−	8.54080i	−0.148703	−	0.325615i
$689$	−0.361195			−0.0137604
$690$	−11.8591	+	7.37207i	−0.451469	+	0.280650i
$691$	19.6395			0.747121			0.373560	−	0.927606i	$-0.378137\pi$
$691$	19.6395			0.747121			0.373560	+	0.927606i	$0.378137\pi$
$692$	−6.53267	−	14.3046i	−0.248335	−	0.543778i
$693$	−4.03483	+	1.18473i	−0.153270	+	0.0450042i
$694$	−9.09934	+	10.5012i	−0.345406	+	0.398620i
$695$	−8.72053	−	5.60434i	−0.330789	−	0.212585i
$696$	6.05081	+	6.98300i	0.229355	+	0.264690i
$697$	−0.364871	−	2.53773i	−0.0138205	−	0.0961236i
$698$	−21.3797	−	6.27764i	−0.809232	−	0.237612i
$699$	−16.4241	+	10.5551i	−0.621216	+	0.399231i
$700$	0.494921	−	3.44225i	0.0187062	−	0.130105i
$701$	1.57244	−	3.44316i	0.0593901	−	0.130046i	−0.877610	−	0.479375i	$-0.840863\pi$
$701$	1.57244	−	3.44316i	0.0593901	−	0.130046i	0.937000	+	0.349329i	$0.113590\pi$
$702$	0.0184179	−	0.0403296i	0.000695140	−	0.00152214i
$703$	−2.19364	+	15.2571i	−0.0827347	+	0.575432i
$704$	−3.53761	+	2.27348i	−0.133329	+	0.0856851i
$705$	−8.54146	−	2.50800i	−0.321690	−	0.0944567i
$706$	−0.148734	−	1.03447i	−0.00559769	−	0.0389328i
$707$	−7.91416	−	9.13343i	−0.297643	−	0.343498i
$708$	−7.86735	−	5.05604i	−0.295673	−	0.190018i
$709$	−25.6994	+	29.6587i	−0.965162	+	1.11386i	0.0282891	+	0.999600i	$0.490994\pi$
$709$	−25.6994	+	29.6587i	−0.965162	+	1.11386i	−0.993451	+	0.114257i	$0.963551\pi$
$710$	0.375009	−	0.110113i	0.0140738	−	0.00413245i
$711$	−1.15039	−	2.51901i	−0.0431432	−	0.0944703i
$712$	18.7904			0.704200
$713$	−5.59928	−	43.5813i	−0.209695	−	1.63213i
$714$	−5.10395			−0.191010
$715$	−0.225508	−	0.493793i	−0.00843351	−	0.0184668i
$716$	2.08241	−	0.611450i	0.0778232	−	0.0228509i
$717$	−3.97072	+	4.58246i	−0.148289	+	0.171135i
$718$	−30.9410	−	19.8846i	−1.15471	−	0.742086i
$719$	10.6015	+	12.2348i	0.395370	+	0.456282i	0.918177	−	0.396169i	$-0.129661\pi$
$719$	10.6015	+	12.2348i	0.395370	+	0.456282i	−0.522807	+	0.852451i	$0.675115\pi$
$720$	0.414370	+	2.88200i	0.0154426	+	0.107406i
$721$	−13.1206	−	3.85256i	−0.488637	−	0.143477i
$722$	3.00317	−	1.93002i	0.111766	−	0.0718279i
$723$	−0.233600	+	1.62472i	−0.00868768	+	0.0604241i
$724$	−5.89163	+	12.9009i	−0.218961	+	0.479457i
$725$	13.3485	−	29.2291i	0.495750	−	1.08554i
$726$	0.951147	−	6.61537i	0.0353004	−	0.245520i
$727$	2.94861	−	1.89496i	0.109358	−	0.0702800i	−0.484819	−	0.874615i	$-0.661114\pi$
$727$	2.94861	−	1.89496i	0.109358	−	0.0702800i	0.594177	+	0.804335i	$0.297478\pi$
$728$	0.0425403	+	0.0124910i	0.00157665	+	0.000462946i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	18.9211	+	21.8361i	0.700300	+	0.808189i
$731$	40.3149	+	25.9088i	1.49110	+	0.958273i
$732$	3.07446	−	3.54811i	0.113635	−	0.131142i
$733$	7.55708	−	2.21896i	0.279127	−	0.0819591i	−0.139173	−	0.990268i	$-0.544444\pi$
$733$	7.55708	−	2.21896i	0.279127	−	0.0819591i	0.418300	+	0.908309i	$0.362626\pi$
$734$	6.85221	+	15.0042i	0.252920	+	0.553817i
$735$	−2.91164			−0.107397
$736$	3.99511	+	2.65313i	0.147262	+	0.0977957i
$737$	37.6703			1.38760
$738$	0.208673	+	0.456929i	0.00768135	+	0.0168198i
$739$	7.73890	−	2.27235i	0.284680	−	0.0835896i	−0.136275	−	0.990671i	$-0.543513\pi$
$739$	7.73890	−	2.27235i	0.284680	−	0.0835896i	0.420955	+	0.907081i	$0.361695\pi$
$740$	−7.48199	+	8.63467i	−0.275043	+	0.317417i
$741$	0.146511	+	0.0941569i	0.00538222	+	0.00345894i
$742$	−5.33497	−	6.15688i	−0.195853	−	0.226026i
$743$	6.02764	+	41.9232i	0.221133	+	1.53801i	0.733765	+	0.679403i	$0.237761\pi$
$743$	6.02764	+	41.9232i	0.221133	+	1.53801i	−0.512632	+	0.858608i	$0.671330\pi$
$744$	−8.79091	−	2.58124i	−0.322290	−	0.0946330i
$745$	−10.6495	+	6.84403i	−0.390168	+	0.250746i
$746$	−2.24404	+	15.6077i	−0.0821602	+	0.571437i
$747$	6.38780	−	13.9873i	0.233717	−	0.511770i
$748$	8.91602	−	19.5234i	0.326002	−	0.713845i
$749$	−2.70208	+	18.7934i	−0.0987317	+	0.686694i
$750$	−3.72890	+	2.39642i	−0.136160	+	0.0875047i
$751$	−2.98610	−	0.876798i	−0.108964	−	0.0319948i	0.226796	−	0.973942i	$-0.427175\pi$
$751$	−2.98610	−	0.876798i	−0.108964	−	0.0319948i	−0.335760	+	0.941948i	$0.608993\pi$
$752$	0.435114	+	3.02628i	0.0158670	+	0.110357i
$753$	12.3985	+	14.3086i	0.451827	+	0.521436i
$754$	0.344628	+	0.221479i	0.0125506	+	0.00806578i
$755$	−16.2062	+	18.7030i	−0.589804	+	0.680671i
$756$	0.959493	−	0.281733i	0.0348964	−	0.0102465i
$757$	10.0462	+	21.9982i	0.365137	+	0.799538i	0.999646	+	0.0266224i	$0.00847516\pi$
$757$	10.0462	+	21.9982i	0.365137	+	0.799538i	−0.634509	+	0.772916i	$0.718798\pi$
$758$	12.8512			0.466776
$759$	−19.4335	+	5.39048i	−0.705391	+	0.195662i
$760$	−11.4373			−0.414873
$761$	−15.3730	−	33.6621i	−0.557270	−	1.22025i	−0.953303	−	0.302015i	$-0.902341\pi$
$761$	−15.3730	−	33.6621i	−0.557270	−	1.22025i	0.396033	−	0.918236i	$-0.370387\pi$
$762$	−1.14097	+	0.335018i	−0.0413328	+	0.0121364i
$763$	5.16435	−	5.95998i	0.186962	−	0.215766i
$764$	23.1653	+	14.8874i	0.838091	+	0.538608i
$765$	−9.73179	−	11.2311i	−0.351854	−	0.406061i
$766$	4.47338	+	31.1131i	0.161630	+	1.12416i
$767$	−0.397834	−	0.116815i	−0.0143650	−	0.00421794i
$768$	0.841254	−	0.540641i	0.0303561	−	0.0195087i
$769$	6.87433	−	47.8120i	0.247895	−	1.72414i	−0.362445	−	0.932005i	$-0.618058\pi$
$769$	6.87433	−	47.8120i	0.247895	−	1.72414i	0.610340	−	0.792140i	$-0.291033\pi$
$770$	5.08631	−	11.1375i	0.183298	−	0.401366i
$771$	9.12442	−	19.9797i	0.328608	−	0.719551i
$772$	2.50013	−	17.3888i	0.0899818	−	0.625837i
$773$	26.1424	−	16.8007i	0.940275	−	0.604278i	0.0218025	−	0.999762i	$-0.493059\pi$
$773$	26.1424	−	16.8007i	0.940275	−	0.604278i	0.918473	+	0.395484i	$0.129423\pi$
$774$	−9.00896	−	2.64527i	−0.323820	−	0.0950823i
$775$	4.53448	+	31.5380i	0.162883	+	1.13288i
$776$	−0.940547	−	1.08545i	−0.0337637	−	0.0389653i
$777$	3.30109	+	2.12148i	0.118426	+	0.0761077i
$778$	−18.8752	+	21.7832i	−0.676710	+	0.780965i
$779$	−1.89326	+	0.555911i	−0.0678330	+	0.0199176i
$780$	0.0536264	+	0.117425i	0.00192013	+	0.00420450i
$781$	0.564475			0.0201985
$782$	−24.4749	−	0.367664i	−0.875221	−	0.0131476i
$783$	9.23984			0.330205
$784$	0.415415	+	0.909632i	0.0148363	+	0.0324869i
$785$	−27.8333	+	8.17259i	−0.993413	+	0.291692i
$786$	3.43121	−	3.95983i	0.122387	−	0.141242i
$787$	41.9567	+	26.9640i	1.49560	+	0.961161i	0.995457	+	0.0952168i	$0.0303544\pi$
$787$	41.9567	+	26.9640i	1.49560	+	0.961161i	0.500140	+	0.865945i	$0.333282\pi$
$788$	−4.31879	−	4.98415i	−0.153851	−	0.177553i
$789$	−3.42124	−	23.7953i	−0.121799	−	0.847134i
$790$	7.73649	+	2.27164i	0.275252	+	0.0808213i
$791$	−7.28982	+	4.68488i	−0.259196	+	0.166575i
$792$	−0.598457	+	4.16236i	−0.0212653	+	0.147903i
$793$	0.0864690	−	0.189341i	0.00307060	−	0.00672369i
$794$	0.265108	−	0.580505i	0.00940832	−	0.0206013i
$795$	3.37575	−	23.4789i	0.119726	−	0.832710i
$796$	−11.6791	+	7.50571i	−0.413955	+	0.266033i
$797$	20.6202	+	6.05465i	0.730407	+	0.214467i	0.625730	−	0.780040i	$-0.284801\pi$
$797$	20.6202	+	6.05465i	0.730407	+	0.214467i	0.104676	+	0.994506i	$0.466619\pi$
$798$	0.559030	+	3.88814i	0.0197894	+	0.137639i
$799$	−10.2190	−	11.7933i	−0.361522	−	0.417218i
$800$	−2.92558	−	1.88016i	−0.103435	−	0.0664736i
$801$	12.3051	−	14.2008i	0.434779	−	0.501762i
$802$	11.5535	−	3.39240i	0.407967	−	0.119790i
$803$	17.3350	+	37.9584i	0.611739	+	1.33952i
$804$	−8.95811			−0.315928
$805$	−13.9622	−	0.209740i	−0.492101	−	0.00739238i
$806$	−0.406210			−0.0143081
$807$	−13.2191	−	28.9459i	−0.465336	−	1.01894i
$808$	−11.5957	+	3.40481i	−0.407936	+	0.119781i
$809$	1.81085	−	2.08983i	0.0636661	−	0.0734747i	−0.723023	−	0.690824i	$-0.757248\pi$
$809$	1.81085	−	2.08983i	0.0636661	−	0.0734747i	0.786689	+	0.617349i	$0.211793\pi$
$810$	2.44943	+	1.57415i	0.0860641	+	0.0553100i
$811$	1.24050	+	1.43162i	0.0435599	+	0.0502708i	0.777111	−	0.629363i	$-0.216684\pi$
$811$	1.24050	+	1.43162i	0.0435599	+	0.0502708i	−0.733552	+	0.679634i	$0.762139\pi$
$812$	1.31497	+	9.14579i	0.0461463	+	0.320954i
$813$	−6.68124	−	1.96179i	−0.234321	−	0.0688030i
$814$	−13.8816	+	8.92117i	−0.486550	+	0.312687i
$815$	3.98629	−	27.7253i	0.139634	−	0.971174i
$816$	−2.12026	+	4.64271i	−0.0742238	+	0.162527i
$817$	15.3215	−	33.5493i	0.536030	−	1.17374i
$818$	−3.80230	+	26.4456i	−0.132944	+	0.924649i
$819$	0.0372980	−	0.0239700i	0.00130330	−	0.000837579i
$820$	−1.40334	−	0.412058i	−0.0490067	−	0.0143897i
$821$	0.342183	+	2.37993i	0.0119423	+	0.0830603i	0.994921	−	0.100659i	$-0.0320952\pi$
$821$	0.342183	+	2.37993i	0.0119423	+	0.0830603i	−0.982979	+	0.183720i	$0.941186\pi$
$822$	−7.20288	−	8.31256i	−0.251229	−	0.289934i
$823$	7.37630	+	4.74046i	0.257122	+	0.165242i	0.662851	−	0.748751i	$-0.269346\pi$
$823$	7.37630	+	4.74046i	0.257122	+	0.165242i	−0.405730	+	0.913993i	$0.632983\pi$
$824$	−8.95491	+	10.3345i	−0.311959	+	0.360020i
$825$	14.0317	−	4.12008i	0.488521	−	0.143443i
$826$	−3.88494	−	8.50683i	−0.135174	−	0.295990i
$827$	−10.9548			−0.380934			−0.190467	−	0.981694i	$-0.561000\pi$
$827$	−10.9548			−0.380934			−0.190467	+	0.981694i	$0.561000\pi$
$828$	4.62134	−	1.28187i	0.160603	−	0.0445481i
$829$	−32.5621			−1.13093			−0.565465	−	0.824772i	$-0.691303\pi$
$829$	−32.5621			−1.13093			−0.565465	+	0.824772i	$0.691303\pi$
$830$	18.5990	+	40.7261i	0.645580	+	1.41362i
$831$	21.8451	−	6.41429i	0.757797	−	0.222509i
$832$	0.0290341	−	0.0335071i	0.00100657	−	0.00116165i
$833$	−4.29371	−	2.75940i	−0.148768	−	0.0956076i
$834$	2.33146	+	2.69064i	0.0807317	+	0.0931694i
$835$	−1.00122	−	6.96365i	−0.0346487	−	0.240987i
$836$	−15.8493	−	4.65377i	−0.548159	−	0.160954i
$837$	−7.70759	+	4.95337i	−0.266413	+	0.171213i
$838$	3.30261	−	22.9702i	0.114087	−	0.793491i
$839$	11.3925	−	24.9461i	0.393313	−	0.861234i	−0.604592	−	0.796535i	$-0.706664\pi$
$839$	11.3925	−	24.9461i	0.393313	−	0.861234i	0.997905	−	0.0646993i	$-0.0206088\pi$
$840$	−1.20954	+	2.64852i	−0.0417331	+	0.0913826i
$841$	−8.02294	+	55.8008i	−0.276653	+	1.92417i
$842$	−25.1662	+	16.1733i	−0.867285	+	0.557370i
$843$	8.20815	+	2.41013i	0.282704	+	0.0830093i
$844$	1.46368	+	10.1801i	0.0503818	+	0.350413i
$845$	−24.7836	−	28.6018i	−0.852582	−	0.983932i
$846$	2.57205	+	1.65296i	0.0884289	+	0.0568298i
$847$	4.37670	−	5.05098i	0.150385	−	0.173554i
$848$	−7.81672	+	2.29520i	−0.268427	+	0.0788174i
$849$	10.3721	+	22.7118i	0.355971	+	0.779467i
$850$	17.7497			0.608810
$851$	15.6769	+	10.4109i	0.537396	+	0.356881i
$852$	−0.134234			−0.00459878
$853$	8.38174	+	18.3534i	0.286985	+	0.628410i	0.997135	−	0.0756405i	$-0.0241001\pi$
$853$	8.38174	+	18.3534i	0.286985	+	0.628410i	−0.710150	+	0.704050i	$0.751373\pi$
$854$	4.50465	−	1.32269i	0.154146	−	0.0452614i
$855$	−7.48982	+	8.64371i	−0.256146	+	0.295609i
$856$	15.9726	+	10.2649i	0.545931	+	0.350848i
$857$	−6.33510	−	7.31110i	−0.216403	−	0.249742i	0.637161	−	0.770731i	$-0.280109\pi$
$857$	−6.33510	−	7.31110i	−0.216403	−	0.249742i	−0.853564	+	0.520989i	$0.825563\pi$
$858$	0.0265333	+	0.184543i	0.000905833	+	0.00630021i
$859$	−7.75657	−	2.27753i	−0.264651	−	0.0777085i	0.146715	−	0.989179i	$-0.453130\pi$
$859$	−7.75657	−	2.27753i	−0.264651	−	0.0777085i	−0.411366	+	0.911470i	$0.634948\pi$
$860$	22.9984	−	14.7802i	0.784239	−	0.504000i
$861$	−0.0714881	+	0.497210i	−0.00243631	+	0.0169449i
$862$	−9.40986	+	20.6047i	−0.320501	+	0.701800i
$863$	−14.2672	+	31.2408i	−0.485661	+	1.06345i	0.495208	+	0.868775i	$0.335092\pi$
$863$	−14.2672	+	31.2408i	−0.485661	+	1.06345i	−0.980868	+	0.194674i	$0.937635\pi$
$864$	0.142315	−	0.989821i	0.00484165	−	0.0336744i
$865$	38.5189	−	24.7546i	1.30968	−	0.841680i
$866$	−4.04042	−	1.18637i	−0.137299	−	0.0403146i
$867$	−1.28799	−	8.95815i	−0.0437424	−	0.304235i
$868$	−5.99986	−	6.92420i	−0.203648	−	0.235023i
$869$	9.79658	+	6.29588i	0.332326	+	0.213573i
$870$	−17.6178	+	20.3320i	−0.597298	+	0.689319i
$871$	−0.381081	+	0.111895i	−0.0129124	+	0.00379143i
$872$	−3.27604	−	7.17353i	−0.110941	−	0.242926i
$873$	−1.43625			−0.0486098
$874$	2.40063	+	18.6850i	0.0812024	+	0.632030i
$875$	−4.43255			−0.149847
$876$	−4.12232	−	9.02661i	−0.139280	−	0.304981i
$877$	−24.6614	+	7.24124i	−0.832756	+	0.244519i	−0.670200	−	0.742180i	$-0.733792\pi$
$877$	−24.6614	+	7.24124i	−0.832756	+	0.244519i	−0.162556	+	0.986699i	$0.551974\pi$
$878$	4.46509	−	5.15299i	0.150690	−	0.173905i
$879$	−3.18234	−	2.04516i	−0.107338	−	0.0689817i
$880$	−8.01806	−	9.25334i	−0.270289	−	0.311930i
$881$	0.985718	+	6.85582i	0.0332097	+	0.230978i	0.999666	−	0.0258537i	$-0.00823039\pi$
$881$	0.985718	+	6.85582i	0.0332097	+	0.230978i	−0.966456	+	0.256832i	$0.917321\pi$
$882$	0.959493	+	0.281733i	0.0323078	+	0.00948643i
$883$	34.2646	−	22.0205i	1.15310	−	0.741050i	0.182843	−	0.983142i	$-0.441470\pi$
$883$	34.2646	−	22.0205i	1.15310	−	0.741050i	0.970253	+	0.242093i	$0.0778338\pi$
$884$	−0.0322044	+	0.223986i	−0.00108315	+	0.00753348i
$885$	11.3115	−	24.7688i	0.380233	−	0.832595i
$886$	−1.32603	+	2.90360i	−0.0445488	+	0.0975483i
$887$	−8.01340	+	55.7344i	−0.269064	+	1.87138i	0.188317	+	0.982108i	$0.439697\pi$
$887$	−8.01340	+	55.7344i	−0.269064	+	1.87138i	−0.457381	+	0.889271i	$0.651212\pi$
$888$	3.30109	−	2.12148i	0.110777	−	0.0711922i
$889$	−1.14097	−	0.335018i	−0.0382668	−	0.0112361i
$890$	7.78617	+	54.1540i	0.260993	+	1.81525i
$891$	2.75380	+	3.17805i	0.0922557	+	0.106469i
$892$	−5.51610	−	3.54498i	−0.184693	−	0.118695i
$893$	−7.86478	+	9.07644i	−0.263185	+	0.303731i
$894$	4.17165	−	1.22491i	0.139521	−	0.0409670i
$895$	2.62509	+	5.74814i	0.0877469	+	0.192139i
$896$	1.00000			0.0334077
$897$	0.180581	−	0.112256i	0.00602944	−	0.00374813i
$898$	1.21213			0.0404494
$899$	−35.1672	−	77.0055i	−1.17289	−	2.56828i
$900$	−3.33678	+	0.979766i	−0.111226	+	0.0326589i
$901$	27.2294	−	31.4244i	0.907143	−	1.04690i
$902$	−1.77702	−	1.14202i	−0.0591684	−	0.0380252i
$903$	−6.14868	−	7.09596i	−0.204615	−	0.236139i
$904$	1.23322	+	8.57722i	0.0410162	+	0.285274i
$905$	−39.6216	−	11.6340i	−1.31707	−	0.386726i
$906$	7.15026	−	4.59519i	0.237551	−	0.152665i
$907$	−7.01266	+	48.7741i	−0.232852	+	1.61952i	0.452816	+	0.891604i	$0.350419\pi$
$907$	−7.01266	+	48.7741i	−0.232852	+	1.61952i	−0.685668	+	0.727915i	$0.740490\pi$
$908$	−4.75110	+	10.4034i	−0.157671	+	0.345251i
$909$	−5.02040	+	10.9931i	−0.166516	+	0.364619i
$910$	−0.0183716	+	0.127777i	−0.000609012	+	0.00423577i
$911$	26.2652	−	16.8796i	0.870204	−	0.559246i	−0.0276113	−	0.999619i	$-0.508790\pi$
$911$	26.2652	−	16.8796i	0.870204	−	0.559246i	0.897815	+	0.440373i	$0.145154\pi$
$912$	3.76900	+	1.10668i	0.124804	+	0.0366458i
$913$	9.20242	+	64.0043i	0.304556	+	2.11823i
$914$	22.9637	+	26.5016i	0.759573	+	0.876594i
$915$	11.4996	+	7.39037i	0.380166	+	0.244318i
$916$	10.4087	−	12.0122i	0.343912	−	0.396896i
$917$	5.02736	−	1.47617i	0.166018	−	0.0487473i
$918$	2.12026	+	4.64271i	0.0699789	+	0.153232i
$919$	18.1074			0.597308			0.298654	−	0.954362i	$-0.403462\pi$
$919$	18.1074			0.597308			0.298654	+	0.954362i	$0.403462\pi$
$920$	−5.99088	+	12.6133i	−0.197513	+	0.415848i
$921$	7.41849			0.244448
$922$	0.0523897	+	0.114717i	0.00172536	+	0.00377802i
$923$	−0.00571035	+	0.00167671i	−0.000187958	+	5.51896e-5i
$924$	−2.75380	+	3.17805i	−0.0905933	+	0.104550i
$925$	−11.4800	−	7.37776i	−0.377461	−	0.242579i
$926$	−2.37296	−	2.73854i	−0.0779803	−	0.0899940i
$927$	1.94609	+	13.5353i	0.0639179	+	0.444559i
$928$	8.86556	+	2.60316i	0.291026	+	0.0854530i
$929$	−2.82146	+	1.81324i	−0.0925691	+	0.0594906i	−0.586106	−	0.810234i	$-0.699340\pi$
$929$	−2.82146	+	1.81324i	−0.0925691	+	0.0594906i	0.493537	+	0.869725i	$0.335704\pi$
$930$	3.79647	−	26.4050i	0.124491	−	0.865854i
$931$	−1.63180	+	3.57314i	−0.0534801	+	0.117105i
$932$	−8.11029	+	17.7591i	−0.265661	+	0.581717i
$933$	−3.68479	+	25.6283i	−0.120634	+	0.839031i
$934$	14.5172	−	9.32966i	0.475018	−	0.305276i
$935$	59.9609	+	17.6061i	1.96093	+	0.575782i
$936$	−0.00630970	−	0.0438849i	−0.000206239	−	0.00143442i
$937$	3.72617	+	4.30023i	0.121729	+	0.140482i	0.813343	−	0.581785i	$-0.197645\pi$
$937$	3.72617	+	4.30023i	0.121729	+	0.140482i	−0.691614	+	0.722267i	$0.743100\pi$
$938$	−7.53604	−	4.84312i	−0.246060	−	0.158133i
$939$	−18.9423	+	21.8605i	−0.618157	+	0.713391i
$940$	−8.54146	+	2.50800i	−0.278592	+	0.0818019i
$941$	5.81582	+	12.7349i	0.189590	+	0.415145i	0.980427	−	0.196882i	$-0.0630816\pi$
$941$	5.81582	+	12.7349i	0.189590	+	0.415145i	−0.790837	+	0.612027i	$0.790354\pi$
$942$	9.96289			0.324608
$943$	−0.378623	+	2.37912i	−0.0123296	+	0.0774748i
$944$	−9.35194			−0.304380
$945$	1.20954	+	2.64852i	0.0393463	+	0.0861564i
$946$	37.8842	−	11.1238i	1.23172	−	0.361666i
$947$	−0.132933	+	0.153413i	−0.00431975	+	0.00498525i	−0.757905	−	0.652365i	$-0.773777\pi$
$947$	−0.132933	+	0.153413i	−0.00431975	+	0.00498525i	0.753586	+	0.657350i	$0.228323\pi$
$948$	−2.32965	−	1.49718i	−0.0756637	−	0.0486261i
$949$	−0.288116	−	0.332503i	−0.00935263	−	0.0107935i
$950$	−1.94411	−	13.5216i	−0.0630752	−	0.438697i
$951$	−19.2838	−	5.66224i	−0.625321	−	0.183611i
$952$	−4.29371	+	2.75940i	−0.139160	+	0.0894327i
$953$	−3.91458	+	27.2265i	−0.126806	+	0.881953i	0.822761	+	0.568387i	$0.192433\pi$
$953$	−3.91458	+	27.2265i	−0.126806	+	0.881953i	−0.949567	+	0.313565i	$0.898477\pi$
$954$	−3.38427	+	7.41052i	−0.109570	+	0.239924i
$955$	−33.3066	+	72.9313i	−1.07778	+	2.36000i
$956$	−0.862921	+	6.00175i	−0.0279089	+	0.194110i
$957$	−32.6869	+	21.0066i	−1.05662	+	0.679047i
$958$	−27.0534	−	7.94358i	−0.874054	−	0.256645i
$959$	−1.56533	−	10.8871i	−0.0505473	−	0.351564i
$960$	1.90672	+	2.20047i	0.0615391	+	0.0710199i
$961$	44.5384	+	28.6231i	1.43672	+	0.923325i
$962$	0.113930	−	0.131482i	0.00367325	−	0.00423916i
$963$	18.2175	−	5.34915i	0.587051	−	0.172374i
$964$	0.681875	+	1.49310i	0.0219617	+	0.0480895i
$965$	51.1506			1.64660
$966$	4.58075	+	1.42011i	0.147383	+	0.0456912i
$967$	−53.2789			−1.71334			−0.856668	−	0.515869i	$-0.827469\pi$
$967$	−53.2789			−1.71334			−0.856668	+	0.515869i	$0.827469\pi$
$968$	−2.77639	−	6.07944i	−0.0892364	−	0.195400i
$969$	−19.2368	+	5.64843i	−0.617975	+	0.181454i
$970$	2.73853	−	3.16044i	0.0879290	−	0.101475i
$971$	−2.60742	−	1.67568i	−0.0836760	−	0.0537753i	0.498134	−	0.867100i	$-0.334019\pi$
$971$	−2.60742	−	1.67568i	−0.0836760	−	0.0537753i	−0.581810	+	0.813325i	$0.697655\pi$
$972$	−0.654861	−	0.755750i	−0.0210047	−	0.0242407i
$973$	0.506674	+	3.52399i	0.0162432	+	0.112974i
$974$	−5.72944	−	1.68232i	−0.183583	−	0.0539049i
$975$	−0.129709	+	0.0833591i	−0.00415402	+	0.00266963i
$976$	0.668144	−	4.64704i	0.0213868	−	0.148748i
$977$	−11.2107	+	24.5480i	−0.358662	+	0.785360i	0.641177	+	0.767393i	$0.278447\pi$
$977$	−11.2107	+	24.5480i	−0.358662	+	0.785360i	−0.999839	+	0.0179665i	$0.994281\pi$
$978$	−3.99635	+	8.75079i	−0.127789	+	0.279819i
$979$	−11.2452	+	78.2124i	−0.359400	+	2.49968i
$980$	−2.44943	+	1.57415i	−0.0782441	+	0.0502844i
$981$	−7.56674	−	2.22180i	−0.241587	−	0.0709365i
$982$	4.51095	+	31.3743i	0.143950	+	1.00120i
$983$	−14.5708	−	16.8156i	−0.464737	−	0.536336i	0.474203	−	0.880416i	$-0.342736\pi$
$983$	−14.5708	−	16.8156i	−0.464737	−	0.536336i	−0.938940	+	0.344080i	$0.888191\pi$
$984$	0.422581	+	0.271576i	0.0134714	+	0.00865754i
$985$	12.5748	−	14.5121i	0.400665	−	0.462393i
$986$	−45.2493	+	13.2864i	−1.44103	+	0.423125i
$987$	1.27009	+	2.78111i	0.0404274	+	0.0885238i
$988$	0.174158			0.00554070
$989$	−28.9736	−	34.4701i	−0.921305	−	1.09609i
$990$	−12.2439			−0.389137
$991$	0.122845	+	0.268992i	0.00390229	+	0.00854482i	0.911573	−	0.411138i	$-0.134869\pi$
$991$	0.122845	+	0.268992i	0.00390229	+	0.00854482i	−0.907671	+	0.419683i	$0.862141\pi$
$992$	−8.79091	+	2.58124i	−0.279112	+	0.0819546i
$993$	−8.56392	+	9.88329i	−0.271768	+	0.313637i
$994$	−0.112925	−	0.0725723i	−0.00358175	−	0.00230185i
$995$	−26.4709	−	30.5491i	−0.839185	−	0.968472i
$996$	−2.18836	−	15.2204i	−0.0693409	−	0.482277i
$997$	0.762135	+	0.223783i	0.0241370	+	0.00708728i	0.293779	−	0.955873i	$-0.405087\pi$
$997$	0.762135	+	0.223783i	0.0241370	+	0.00708728i	−0.269642	+	0.962961i	$0.586905\pi$
$998$	−7.60931	+	4.89020i	−0.240868	+	0.154797i
$999$	0.558445	−	3.88407i	0.0176684	−	0.122887i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.211.1	✓	30
23.6	even	11	inner	966.2.q.f.673.1	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.211.1	✓	30	1.1	even	1	trivial
966.2.q.f.673.1	yes	30	23.6	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)

\(f(q)\)	\(=\)	\(q+(-0.415415 - 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.44943 - 1.57415i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(-0.415415 - 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.44943 - 1.57415i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.414370 + 2.88200i) q^{10} +(-1.74689 + 3.82515i) q^{11} +(0.415415 - 0.909632i) q^{12} +(0.00630970 - 0.0438849i) q^{13} +(0.841254 - 0.540641i) q^{14} +(2.79370 + 0.820304i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(3.34237 + 3.85731i) q^{17} +(-0.841254 - 0.540641i) q^{18} +(2.57237 - 2.96868i) q^{19} +(2.79370 - 0.820304i) q^{20} +(-0.415415 - 0.909632i) q^{21} +4.20516 q^{22} +(-1.92651 - 4.39187i) q^{23} -1.00000 q^{24} +(1.44467 + 3.16338i) q^{25} +(-0.0425403 + 0.0124910i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(-6.05081 - 6.98300i) q^{29} +(-0.414370 - 2.88200i) q^{30} +(8.79091 + 2.58124i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(0.598457 - 4.16236i) q^{33} +(2.12026 - 4.64271i) q^{34} +(1.20954 - 2.64852i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-3.30109 + 2.12148i) q^{37} +(-3.76900 - 1.10668i) q^{38} +(0.00630970 + 0.0438849i) q^{39} +(-1.90672 - 2.20047i) q^{40} +(-0.422581 - 0.271576i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(9.00896 - 2.64527i) q^{43} +(-1.74689 - 3.82515i) q^{44} -2.91164 q^{45} +(-3.19469 + 3.57687i) q^{46} -3.05740 q^{47} +(0.415415 + 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(2.27737 - 2.62823i) q^{50} +(-4.29371 - 2.75940i) q^{51} +(0.0290341 + 0.0335071i) q^{52} +(-1.15940 - 8.06380i) q^{53} +(0.959493 + 0.281733i) q^{54} +(10.3002 - 6.61956i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(-1.63180 + 3.57314i) q^{57} +(-3.83837 + 8.40485i) q^{58} +(1.33092 - 9.25675i) q^{59} +(-2.44943 + 1.57415i) q^{60} +(4.50465 + 1.32269i) q^{61} +(-1.30389 - 9.06878i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-0.0845367 + 0.0975606i) q^{65} +(-4.03483 + 1.18473i) q^{66} +(-3.72133 - 8.14858i) q^{67} -5.10395 q^{68} +(3.08581 + 3.67121i) q^{69} -2.91164 q^{70} +(-0.0557627 - 0.122103i) q^{71} +(0.959493 - 0.281733i) q^{72} +(6.49842 - 7.49958i) q^{73} +(3.30109 + 2.12148i) q^{74} +(-2.27737 - 2.62823i) q^{75} +(0.559030 + 3.88814i) q^{76} +(-4.03483 - 1.18473i) q^{77} +(0.0372980 - 0.0239700i) q^{78} +(0.394108 - 2.74108i) q^{79} +(-1.20954 + 2.64852i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.0714881 + 0.497210i) q^{82} +(12.9359 - 8.31339i) q^{83} +(0.959493 + 0.281733i) q^{84} +(-2.11492 - 14.7096i) q^{85} +(-6.14868 - 7.09596i) q^{86} +(7.77305 + 4.99543i) q^{87} +(-2.75380 + 3.17805i) q^{88} +(18.0292 - 5.29387i) q^{89} +(1.20954 + 2.64852i) q^{90} +0.0443362 q^{91} +(4.58075 + 1.42011i) q^{92} -9.16203 q^{93} +(1.27009 + 2.78111i) q^{94} +(-10.9740 + 3.22225i) q^{95} +(0.654861 - 0.755750i) q^{96} +(-1.20825 - 0.776498i) q^{97} +(0.654861 + 0.755750i) q^{98} +(0.598457 + 4.16236i) 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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