LMFDB - Embedded newform 690.2.q.a.11.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(11,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 9]))

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

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

chi := DirichletCharacter("690.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.q (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.13
Character	$\chi$	$=$	690.11
Dual form			690.2.q.a.251.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 + 0.841254i) q^{2} +(0.559698 - 1.63913i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.68152 - 0.415331i) q^{6} +(-2.94981 + 2.55602i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.37348 - 1.83483i) q^{9} +O(q^{10})$	\(q+(0.540641 + 0.841254i) q^{2} +(0.559698 - 1.63913i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.68152 - 0.415331i) q^{6} +(-2.94981 + 2.55602i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.37348 - 1.83483i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(-1.62713 - 1.04569i) q^{11} +(1.25850 + 1.19004i) q^{12} +(-1.51588 + 1.74942i) q^{13} +(-3.74505 - 1.09965i) q^{14} +(-0.0752308 + 1.73042i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-2.62149 - 5.74026i) q^{17} +(0.260361 - 2.98868i) q^{18} +(-3.93948 - 1.79910i) q^{19} +(0.142315 - 0.989821i) q^{20} +(2.53865 + 6.26571i) q^{21} -1.93417i q^{22} +(2.02820 - 4.34585i) q^{23} +(-0.320729 + 1.70210i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-2.29125 - 0.329432i) q^{26} +(-4.33595 + 2.86348i) q^{27} +(-1.09965 - 3.74505i) q^{28} +(-3.24492 + 1.48190i) q^{29} +(-1.49639 + 0.872245i) q^{30} +(0.896737 + 6.23694i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-2.62472 + 2.08180i) q^{33} +(3.41173 - 5.30875i) q^{34} +(2.11021 - 3.28354i) q^{35} +(2.65500 - 1.39677i) q^{36} +(-1.18792 + 4.04568i) q^{37} +(-0.616344 - 4.28677i) q^{38} +(2.01909 + 3.46387i) q^{39} +(0.909632 - 0.415415i) q^{40} +(1.79159 + 6.10159i) q^{41} +(-3.89856 + 5.52315i) q^{42} +(-6.08292 - 0.874592i) q^{43} +(1.62713 - 1.04569i) q^{44} +(2.79427 + 1.09182i) q^{45} +(4.75249 - 0.643315i) q^{46} +1.53681i q^{47} +(-1.60529 + 0.650409i) q^{48} +(1.17191 - 8.15081i) q^{49} +(0.909632 + 0.415415i) q^{50} +(-10.8762 + 1.08414i) q^{51} +(-0.961609 - 2.10563i) q^{52} +(-0.712176 - 0.821895i) q^{53} +(-4.75310 - 2.09952i) q^{54} +(1.85582 + 0.544919i) q^{55} +(2.55602 - 2.94981i) q^{56} +(-5.15387 + 5.45036i) q^{57} +(-3.00099 - 1.92862i) q^{58} +(4.45591 + 3.86107i) q^{59} +(-1.54279 - 0.787273i) q^{60} +(11.2928 - 1.62366i) q^{61} +(-4.76204 + 4.12633i) q^{62} +(11.6912 - 0.654257i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.961609 - 2.10563i) q^{65} +(-3.17035 - 1.08255i) q^{66} +(3.69201 + 5.74488i) q^{67} +6.31052 q^{68} +(-5.98822 - 5.75684i) q^{69} +3.90316 q^{70} +(0.0295383 + 0.0459624i) q^{71} +(2.61044 + 1.47838i) q^{72} +(-4.05026 + 8.86883i) q^{73} +(-4.04568 + 1.18792i) q^{74} +(-0.415331 - 1.68152i) q^{75} +(3.27304 - 2.83610i) q^{76} +(7.47253 - 1.07439i) q^{77} +(-1.82239 + 3.57127i) q^{78} +(-4.69071 - 4.06452i) q^{79} +(0.841254 + 0.540641i) q^{80} +(2.26678 + 8.70986i) q^{81} +(-4.16438 + 4.80595i) q^{82} +(-11.9112 - 3.49743i) q^{83} +(-6.75408 - 0.293638i) q^{84} +(4.13251 + 4.76918i) q^{85} +(-2.55292 - 5.59012i) q^{86} +(0.612856 + 6.14825i) q^{87} +(1.75938 + 0.803484i) q^{88} +(1.74485 - 12.1357i) q^{89} +(0.592194 + 2.94097i) q^{90} -9.03508i q^{91} +(3.11058 + 3.65025i) q^{92} +(10.7250 + 2.02094i) q^{93} +(-1.29284 + 0.830860i) q^{94} +(4.28677 + 0.616344i) q^{95} +(-1.41505 - 0.998822i) q^{96} +(-4.23230 - 14.4139i) q^{97} +(7.49048 - 3.42079i) q^{98} +(1.94328 + 5.46743i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

Coefficient data

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

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

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

$2$	0.540641	+	0.841254i	0.382291	+	0.594856i
$2$	0.540641	+	0.841254i	0.382291	+	0.594856i
$3$	0.559698	−	1.63913i	0.323142	−	0.946351i
$3$	0.559698	−	1.63913i	0.323142	−	0.946351i
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$6$	1.68152	−	0.415331i	0.686477	−	0.169558i
$7$	−2.94981	+	2.55602i	−1.11492	+	0.966086i	−0.999629	−	0.0272453i	$-0.991326\pi$
$7$	−2.94981	+	2.55602i	−1.11492	+	0.966086i	−0.115294	+	0.993331i	$0.536781\pi$
$8$	−0.989821	+	0.142315i	−0.349955	+	0.0503159i
$9$	−2.37348	−	1.83483i	−0.791159	−	0.611611i
$10$	−0.755750	−	0.654861i	−0.238989	−	0.207085i
$11$	−1.62713	−	1.04569i	−0.490598	−	0.315288i	0.271848	−	0.962340i	$-0.412365\pi$
$11$	−1.62713	−	1.04569i	−0.490598	−	0.315288i	−0.762446	+	0.647052i	$0.776002\pi$
$12$	1.25850	+	1.19004i	0.363296	+	0.343534i
$13$	−1.51588	+	1.74942i	−0.420430	+	0.485202i	−0.925968	−	0.377602i	$-0.876749\pi$
$13$	−1.51588	+	1.74942i	−0.420430	+	0.485202i	0.505538	+	0.862804i	$0.331294\pi$
$14$	−3.74505	−	1.09965i	−1.00091	−	0.293893i
$15$	−0.0752308	+	1.73042i	−0.0194245	+	0.446792i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−2.62149	−	5.74026i	−0.635804	−	1.39222i	−0.903448	−	0.428698i	$-0.858972\pi$
$17$	−2.62149	−	5.74026i	−0.635804	−	1.39222i	0.267644	−	0.963518i	$-0.413755\pi$
$18$	0.260361	−	2.98868i	0.0613677	−	0.704439i
$19$	−3.93948	−	1.79910i	−0.903779	−	0.412742i	−0.0913610	−	0.995818i	$-0.529122\pi$
$19$	−3.93948	−	1.79910i	−0.903779	−	0.412742i	−0.812418	+	0.583076i	$0.801849\pi$
$20$	0.142315	−	0.989821i	0.0318226	−	0.221331i
$21$	2.53865	+	6.26571i	0.553978	+	1.36729i
$22$		−	1.93417i		−	0.412367i
$23$	2.02820	−	4.34585i	0.422909	−	0.906172i
$23$	2.02820	−	4.34585i	0.422909	−	0.906172i
$24$	−0.320729	+	1.70210i	−0.0654685	+	0.347439i
$25$	0.841254	−	0.540641i	0.168251	−	0.108128i
$26$	−2.29125	−	0.329432i	−0.449352	−	0.0646070i
$27$	−4.33595	+	2.86348i	−0.834455	+	0.551077i
$28$	−1.09965	−	3.74505i	−0.207814	−	0.707748i
$29$	−3.24492	+	1.48190i	−0.602566	+	0.275183i	−0.693250	−	0.720697i	$-0.743822\pi$
$29$	−3.24492	+	1.48190i	−0.602566	+	0.275183i	0.0906841	+	0.995880i	$0.471095\pi$
$30$	−1.49639	+	0.872245i	−0.273202	+	0.159250i
$31$	0.896737	+	6.23694i	0.161059	+	1.12019i	0.896643	+	0.442755i	$0.145999\pi$
$31$	0.896737	+	6.23694i	0.161059	+	1.12019i	−0.735584	+	0.677434i	$0.763092\pi$
$32$	0.281733	−	0.959493i	0.0498038	−	0.169616i
$33$	−2.62472	+	2.08180i	−0.456906	+	0.362395i
$34$	3.41173	−	5.30875i	0.585106	−	0.910443i
$35$	2.11021	−	3.28354i	0.356690	−	0.555020i
$36$	2.65500	−	1.39677i	0.442500	−	0.232795i
$37$	−1.18792	+	4.04568i	−0.195293	+	0.665105i	0.802373	+	0.596822i	$0.203570\pi$
$37$	−1.18792	+	4.04568i	−0.195293	+	0.665105i	−0.997666	+	0.0682831i	$0.978248\pi$
$38$	−0.616344	−	4.28677i	−0.0999842	−	0.695406i
$39$	2.01909	+	3.46387i	0.323313	+	0.554663i
$40$	0.909632	−	0.415415i	0.143825	−	0.0656829i
$41$	1.79159	+	6.10159i	0.279799	+	0.952908i	0.972737	+	0.231911i	$0.0744978\pi$
$41$	1.79159	+	6.10159i	0.279799	+	0.952908i	−0.692938	+	0.720997i	$0.743684\pi$
$42$	−3.89856	+	5.52315i	−0.601560	+	0.852240i
$43$	−6.08292	−	0.874592i	−0.927636	−	0.133374i	−0.338095	−	0.941112i	$-0.609782\pi$
$43$	−6.08292	−	0.874592i	−0.927636	−	0.133374i	−0.589542	+	0.807738i	$0.700692\pi$
$44$	1.62713	−	1.04569i	0.245299	−	0.157644i
$45$	2.79427	+	1.09182i	0.416545	+	0.162759i
$46$	4.75249	−	0.643315i	0.700716	−	0.0948516i
$47$			1.53681i			0.224166i	0.993699	+	0.112083i	$0.0357523\pi$
$47$			1.53681i			0.224166i	−0.993699	+	0.112083i	$0.964248\pi$
$48$	−1.60529	+	0.650409i	−0.231704	+	0.0938784i
$49$	1.17191	−	8.15081i	0.167416	−	1.16440i
$50$	0.909632	+	0.415415i	0.128641	+	0.0587486i
$51$	−10.8762	+	1.08414i	−1.52298	+	0.151810i
$52$	−0.961609	−	2.10563i	−0.133351	−	0.291998i
$53$	−0.712176	−	0.821895i	−0.0978249	−	0.112896i	0.704726	−	0.709479i	$-0.251070\pi$
$53$	−0.712176	−	0.821895i	−0.0978249	−	0.112896i	−0.802551	+	0.596584i	$0.796524\pi$
$54$	−4.75310	−	2.09952i	−0.646816	−	0.285709i
$55$	1.85582	+	0.544919i	0.250239	+	0.0734769i
$56$	2.55602	−	2.94981i	0.341563	−	0.394185i
$57$	−5.15387	+	5.45036i	−0.682647	+	0.721917i
$58$	−3.00099	−	1.92862i	−0.394050	−	0.253240i
$59$	4.45591	+	3.86107i	0.580110	+	0.502669i	0.894765	−	0.446538i	$-0.147343\pi$
$59$	4.45591	+	3.86107i	0.580110	+	0.502669i	−0.314654	+	0.949206i	$0.601889\pi$
$60$	−1.54279	−	0.787273i	−0.199173	−	0.101637i
$61$	11.2928	−	1.62366i	1.44590	−	0.207889i	0.625743	−	0.780029i	$-0.284796\pi$
$61$	11.2928	−	1.62366i	1.44590	−	0.207889i	0.820156	+	0.572140i	$0.193887\pi$
$62$	−4.76204	+	4.12633i	−0.604780	+	0.524044i
$63$	11.6912	−	0.654257i	1.47295	−	0.0824286i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	0.961609	−	2.10563i	0.119273	−	0.261171i
$66$	−3.17035	−	1.08255i	−0.390243	−	0.133253i
$67$	3.69201	+	5.74488i	0.451051	+	0.701848i	0.990090	−	0.140432i	$-0.0448491\pi$
$67$	3.69201	+	5.74488i	0.451051	+	0.701848i	−0.539040	+	0.842280i	$0.681213\pi$
$68$	6.31052			0.765264
$69$	−5.98822	−	5.75684i	−0.720897	−	0.693042i
$70$	3.90316			0.466516
$71$	0.0295383	+	0.0459624i	0.00350555	+	0.00545474i	0.843002	−	0.537911i	$-0.180786\pi$
$71$	0.0295383	+	0.0459624i	0.00350555	+	0.00545474i	−0.839496	+	0.543365i	$0.817150\pi$
$72$	2.61044	+	1.47838i	0.307643	+	0.174228i
$73$	−4.05026	+	8.86883i	−0.474047	+	1.03802i	0.510011	+	0.860168i	$0.329641\pi$
$73$	−4.05026	+	8.86883i	−0.474047	+	1.03802i	−0.984058	+	0.177850i	$0.943086\pi$
$74$	−4.04568	+	1.18792i	−0.470301	+	0.138093i
$75$	−0.415331	−	1.68152i	−0.0479583	−	0.194165i
$76$	3.27304	−	2.83610i	0.375443	−	0.325323i
$77$	7.47253	−	1.07439i	0.851574	−	0.122438i
$78$	−1.82239	+	3.57127i	−0.206345	+	0.404367i
$79$	−4.69071	−	4.06452i	−0.527746	−	0.457294i	0.349775	−	0.936834i	$-0.386258\pi$
$79$	−4.69071	−	4.06452i	−0.527746	−	0.457294i	−0.877520	+	0.479540i	$0.840804\pi$
$80$	0.841254	+	0.540641i	0.0940550	+	0.0604455i
$81$	2.26678	+	8.70986i	0.251864	+	0.967763i
$82$	−4.16438	+	4.80595i	−0.459879	+	0.530728i
$83$	−11.9112	−	3.49743i	−1.30742	−	0.383893i	−0.447482	−	0.894293i	$-0.647679\pi$
$83$	−11.9112	−	3.49743i	−1.30742	−	0.383893i	−0.859937	+	0.510400i	$0.829497\pi$
$84$	−6.75408	−	0.293638i	−0.736931	−	0.0320385i
$85$	4.13251	+	4.76918i	0.448234	+	0.517290i
$86$	−2.55292	−	5.59012i	−0.275289	−	0.602798i
$87$	0.612856	+	6.14825i	0.0657050	+	0.659162i
$88$	1.75938	+	0.803484i	0.187551	+	0.0856516i
$89$	1.74485	−	12.1357i	0.184954	−	1.28638i	−0.659888	−	0.751364i	$-0.729396\pi$
$89$	1.74485	−	12.1357i	0.184954	−	1.28638i	0.844842	−	0.535016i	$-0.179695\pi$
$90$	0.592194	+	2.94097i	0.0624227	+	0.310005i
$91$		−	9.03508i		−	0.947134i
$92$	3.11058	+	3.65025i	0.324300	+	0.380564i
$93$	10.7250	+	2.02094i	1.11214	+	0.209562i
$94$	−1.29284	+	0.830860i	−0.133347	+	0.0856967i
$95$	4.28677	+	0.616344i	0.439813	+	0.0632356i
$96$	−1.41505	−	0.998822i	−0.144423	−	0.101942i
$97$	−4.23230	−	14.4139i	−0.429725	−	1.46351i	−0.835477	−	0.549525i	$-0.814809\pi$
$97$	−4.23230	−	14.4139i	−0.429725	−	1.46351i	0.405752	−	0.913983i	$-0.367010\pi$
$98$	7.49048	−	3.42079i	0.756653	−	0.345552i
$99$	1.94328	+	5.46743i	0.195307	+	0.549498i
$100$	0.142315	+	0.989821i	0.0142315	+	0.0989821i
$101$	2.66597	−	9.07945i	0.265274	−	0.903439i	−0.713872	−	0.700277i	$-0.753060\pi$
$101$	2.66597	−	9.07945i	0.265274	−	0.903439i	0.979145	−	0.203162i	$-0.0651219\pi$
$102$	−6.79218	−	8.56355i	−0.672526	−	0.847918i
$103$	−5.26160	+	8.18722i	−0.518441	+	0.806710i	−0.997470	−	0.0710889i	$-0.977353\pi$
$103$	−5.26160	+	8.18722i	−0.518441	+	0.806710i	0.479029	+	0.877799i	$0.340989\pi$
$104$	1.25148	−	1.94735i	0.122718	−	0.190953i
$105$	−4.20107	−	5.29669i	−0.409982	−	0.516904i
$106$	0.306390	−	1.04347i	0.0297593	−	0.101351i
$107$	−0.242893	−	1.68936i	−0.0234813	−	0.163316i	0.974707	−	0.223488i	$-0.0717443\pi$
$107$	−0.242893	−	1.68936i	−0.0234813	−	0.163316i	−0.998188	+	0.0601715i	$0.980835\pi$
$108$	−0.803490	−	5.13365i	−0.0773159	−	0.493986i
$109$	9.90294	−	4.52252i	0.948530	−	0.433179i	0.119781	−	0.992800i	$-0.461781\pi$
$109$	9.90294	−	4.52252i	0.948530	−	0.433179i	0.828748	+	0.559621i	$0.189053\pi$
$110$	0.544919	+	1.85582i	0.0519560	+	0.176946i
$111$	5.96651	+	4.21151i	0.566316	+	0.399739i
$112$	3.86343	+	0.555477i	0.365060	+	0.0524876i
$113$	11.0302	−	7.08867i	1.03763	−	0.666846i	0.0932327	−	0.995644i	$-0.470280\pi$
$113$	11.0302	−	7.08867i	1.03763	−	0.666846i	0.944400	+	0.328798i	$0.106644\pi$
$114$	−7.37152	−	1.38903i	−0.690407	−	0.130094i
$115$	−0.721674	+	4.74122i	−0.0672965	+	0.442121i
$116$		−	3.56729i		−	0.331214i
$117$	6.80780	−	1.37082i	0.629381	−	0.126732i
$118$	−0.839091	+	5.83601i	−0.0772446	+	0.537248i
$119$	22.4051	+	10.2321i	2.05387	+	0.937972i
$120$	−0.171799	−	1.72351i	−0.0156830	−	0.157334i
$121$	−3.01549	−	6.60300i	−0.274135	−	0.600273i
$122$	7.47128	+	8.62232i	0.676418	+	0.780628i
$123$	11.0040	+	0.478406i	0.992200	+	0.0431364i
$124$	−6.04584	−	1.77522i	−0.542933	−	0.159419i
$125$	−0.654861	+	0.755750i	−0.0585725	+	0.0675963i
$126$	6.87112	+	9.48153i	0.612128	+	0.844681i
$127$	−15.4730	−	9.94391i	−1.37301	−	0.882379i	−0.374023	−	0.927419i	$-0.622022\pi$
$127$	−15.4730	−	9.94391i	−1.37301	−	0.882379i	−0.998985	+	0.0450401i	$0.985658\pi$
$128$	0.755750	+	0.654861i	0.0667995	+	0.0578821i
$129$	−4.83816	+	9.48117i	−0.425977	+	0.834770i
$130$	2.29125	−	0.329432i	0.200956	−	0.0288931i
$131$	6.54865	−	5.67444i	0.572158	−	0.495778i	−0.320051	−	0.947400i	$-0.603700\pi$
$131$	6.54865	−	5.67444i	0.572158	−	0.495778i	0.892209	+	0.451622i	$0.149155\pi$
$132$	−0.803322	−	3.25234i	−0.0699202	−	0.283080i
$133$	16.2193	−	4.76240i	1.40639	−	0.412953i
$134$	−2.83685	+	6.21183i	−0.245066	+	0.536620i
$135$	3.35358	−	3.96907i	0.288630	−	0.341603i
$136$	3.41173	+	5.30875i	0.292553	+	0.455222i
$137$	−6.85187			−0.585395			−0.292697	−	0.956205i	$-0.594553\pi$
$137$	−6.85187			−0.585395			−0.292697	+	0.956205i	$0.594553\pi$
$138$	1.60548	−	8.15000i	0.136668	−	0.693774i
$139$	−1.54645			−0.131168			−0.0655839	−	0.997847i	$-0.520891\pi$
$139$	−1.54645			−0.131168			−0.0655839	+	0.997847i	$0.520891\pi$
$140$	2.11021	+	3.28354i	0.178345	+	0.277510i
$141$	2.51902	+	0.860147i	0.212140	+	0.0724375i
$142$	−0.0226965	+	0.0496983i	−0.00190465	+	0.00417059i
$143$	4.29589	−	1.26139i	0.359240	−	0.105482i
$144$	0.167623	+	2.99531i	0.0139685	+	0.249609i
$145$	2.69597	−	2.33608i	0.223889	−	0.194001i
$146$	−9.65067	+	1.38756i	−0.798695	+	0.114835i
$147$	−12.7043	−	6.48290i	−1.04783	−	0.534701i
$148$	−3.18660	−	2.76120i	−0.261937	−	0.226970i
$149$	1.21829	+	0.782949i	0.0998064	+	0.0641417i	0.589592	−	0.807701i	$-0.299289\pi$
$149$	1.21829	+	0.782949i	0.0998064	+	0.0641417i	−0.489786	+	0.871843i	$0.662925\pi$
$150$	1.19004	−	1.25850i	0.0971661	−	0.102756i
$151$	−8.98064	+	10.3642i	−0.730834	+	0.843428i	−0.992565	−	0.121713i	$-0.961161\pi$
$151$	−8.98064	+	10.3642i	−0.730834	+	0.843428i	0.261731	+	0.965141i	$0.415707\pi$
$152$	4.15542	+	1.22014i	0.337049	+	0.0989665i
$153$	−4.31037	+	18.4343i	−0.348473	+	1.49033i
$154$	4.94379	+	5.70543i	0.398382	+	0.459757i
$155$	−2.61756	−	5.73166i	−0.210248	−	0.460378i
$156$	−3.98961	+	0.397683i	−0.319424	+	0.0318401i
$157$	−4.22579	−	1.92985i	−0.337255	−	0.154019i	0.239587	−	0.970875i	$-0.422988\pi$
$157$	−4.22579	−	1.92985i	−0.337255	−	0.154019i	−0.576842	+	0.816856i	$0.695715\pi$
$158$	0.883305	−	6.14352i	0.0702719	−	0.488752i
$159$	−1.74579	+	0.707334i	−0.138450	+	0.0560952i
$160$			1.00000i			0.0790569i
$161$	5.12530	+	18.0035i	0.403930	+	1.41888i
$162$	−6.10169	+	6.61584i	−0.479394	+	0.519790i
$163$	−16.8553	+	10.8322i	−1.32021	+	0.848447i	−0.995257	−	0.0972834i	$-0.968985\pi$
$163$	−16.8553	+	10.8322i	−1.32021	+	0.848447i	−0.324952	+	0.945730i	$0.605348\pi$
$164$	−6.29445	−	0.905006i	−0.491514	−	0.0706691i
$165$	1.93189	−	2.73694i	0.150398	−	0.213071i
$166$	−3.49743	−	11.9112i	−0.271453	−	0.924485i
$167$	0.756192	−	0.345341i	0.0585159	−	0.0267233i	−0.385942	−	0.922523i	$-0.626124\pi$
$167$	0.756192	−	0.345341i	0.0585159	−	0.0267233i	0.444458	+	0.895800i	$0.353396\pi$
$168$	−3.40451	−	5.84065i	−0.262664	−	0.450616i
$169$	1.08752	+	7.56385i	0.0836552	+	0.581835i
$170$	−1.77788	+	6.05490i	−0.136357	+	0.464390i
$171$	6.04921	+	11.4984i	0.462595	+	0.879305i
$172$	3.32249	−	5.16990i	0.253338	−	0.394201i
$173$	−5.57100	+	8.66864i	−0.423555	+	0.659065i	−0.985803	−	0.167904i	$-0.946300\pi$
$173$	−5.57100	+	8.66864i	−0.423555	+	0.659065i	0.562248	+	0.826969i	$0.309937\pi$
$174$	−4.84090	+	3.83956i	−0.366988	+	0.291077i
$175$	−1.09965	+	3.74505i	−0.0831254	+	0.283099i
$176$	0.275261	+	1.91448i	0.0207486	+	0.144310i
$177$	8.82275	−	5.14278i	0.663159	−	0.386555i
$178$	11.1525	−	5.09319i	0.835917	−	0.381750i
$179$	7.35072	+	25.0343i	0.549419	+	1.87115i	0.487612	+	0.873060i	$0.337868\pi$
$179$	7.35072	+	25.0343i	0.549419	+	1.87115i	0.0618064	+	0.998088i	$0.480314\pi$
$180$	−2.15394	+	2.08819i	−0.160545	+	0.155645i
$181$	20.7846	+	2.98837i	1.54491	+	0.222124i	0.861441	−	0.507858i	$-0.169563\pi$
$181$	20.7846	+	2.98837i	1.54491	+	0.222124i	0.683466	+	0.729982i	$0.260472\pi$
$182$	7.60080	−	4.88473i	0.563408	−	0.362081i
$183$	3.65918	−	19.4191i	0.270495	−	1.43550i
$184$	−1.38907	+	4.59026i	−0.102404	+	0.338398i
$185$		−	4.21648i		−	0.310001i
$186$	4.09828	+	10.1151i	0.300500	+	0.741674i
$187$	−1.73704	+	12.0814i	−0.127025	+	0.883479i
$188$	−1.39793	−	0.638412i	−0.101954	−	0.0465610i
$189$	5.47112	−	19.5295i	0.397965	−	1.42056i
$190$	1.79910	+	3.93948i	0.130520	+	0.285800i
$191$	−16.9708	−	19.5854i	−1.22796	−	1.41715i	−0.876815	−	0.480828i	$-0.840336\pi$
$191$	−16.9708	−	19.5854i	−1.22796	−	1.41715i	−0.351150	−	0.936319i	$-0.614209\pi$
$192$	0.0752308	−	1.73042i	0.00542931	−	0.124882i
$193$	−5.03861	−	1.47947i	−0.362687	−	0.106495i	0.0953114	−	0.995448i	$-0.469615\pi$
$193$	−5.03861	−	1.47947i	−0.362687	−	0.106495i	−0.457998	+	0.888953i	$0.651433\pi$
$194$	9.83758	−	11.3532i	0.706297	−	0.815110i
$195$	−2.91318	−	2.75472i	−0.208617	−	0.197269i
$196$	6.92741	+	4.45198i	0.494815	+	0.317998i
$197$	−9.40784	−	8.15194i	−0.670281	−	0.580802i	0.251809	−	0.967777i	$-0.418974\pi$
$197$	−9.40784	−	8.15194i	−0.670281	−	0.580802i	−0.922090	+	0.386975i	$0.873520\pi$
$198$	−3.54888	+	4.59071i	−0.252208	+	0.326247i
$199$	−27.3942	+	3.93869i	−1.94192	+	0.279207i	−0.998611	−	0.0526960i	$-0.983219\pi$
$199$	−27.3942	+	3.93869i	−1.94192	+	0.279207i	−0.943314	+	0.331903i	$0.892309\pi$
$200$	−0.755750	+	0.654861i	−0.0534396	+	0.0463056i
$201$	11.4830	−	2.83628i	0.809948	−	0.200055i
$202$	9.07945	−	2.66597i	0.638828	−	0.187577i
$203$	5.78410	−	12.6654i	0.405964	−	0.888938i
$204$	3.53199	−	10.3438i	0.247289	−	0.724208i
$205$	−3.43803	−	5.34968i	−0.240123	−	0.373638i
$206$	−9.73216			−0.678072
$207$	−12.7878	+	6.59337i	−0.888813	+	0.458271i
$208$	2.31481			0.160504
$209$	4.52873	+	7.04685i	0.313259	+	0.487441i
$210$	2.18459	−	6.39777i	0.150751	−	0.441488i
$211$	−1.38096	+	3.02388i	−0.0950691	+	0.208172i	−0.951192	−	0.308600i	$-0.900139\pi$
$211$	−1.38096	+	3.02388i	−0.0950691	+	0.208172i	0.856123	+	0.516773i	$0.172867\pi$
$212$	1.04347	−	0.306390i	0.0716658	−	0.0210430i
$213$	0.0918708	−	0.0226919i	0.00629488	−	0.00155482i
$214$	1.28986	−	1.11767i	0.0881730	−	0.0764024i
$215$	6.08292	−	0.874592i	0.414852	−	0.0596467i
$216$	3.88430	−	3.45140i	0.264293	−	0.234838i
$217$	−18.5870	−	16.1057i	−1.26177	−	1.09333i
$218$	9.15852	+	5.88582i	0.620293	+	0.398638i
$219$	12.2702	+	11.6028i	0.829145	+	0.784042i
$220$	−1.26661	+	1.46175i	−0.0853950	+	0.0985511i
$221$	14.0160	+	4.11546i	0.942817	+	0.276836i
$222$	−0.317209	+	7.29626i	−0.0212897	+	0.489693i
$223$	−0.952838	−	1.09963i	−0.0638067	−	0.0736369i	0.722949	−	0.690902i	$-0.242786\pi$
$223$	−0.952838	−	1.09963i	−0.0638067	−	0.0736369i	−0.786756	+	0.617265i	$0.788241\pi$
$224$	1.62143	+	3.55044i	0.108336	+	0.237223i
$225$	−2.98868	−	0.260361i	−0.199245	−	0.0173574i
$226$	11.9267	+	5.44676i	0.793355	+	0.362313i
$227$	−3.18102	+	22.1245i	−0.211132	+	1.46846i	0.558253	+	0.829671i	$0.311472\pi$
$227$	−3.18102	+	22.1245i	−0.211132	+	1.46846i	−0.769385	+	0.638785i	$0.779437\pi$
$228$	−2.81682	−	6.95229i	−0.186549	−	0.460426i
$229$			25.5963i			1.69145i	0.533616	+	0.845727i	$0.320833\pi$
$229$			25.5963i			1.69145i	−0.533616	+	0.845727i	$0.679167\pi$
$230$	−4.37874	+	1.95619i	−0.288725	+	0.128987i
$231$	2.42130	−	12.8498i	0.159310	−	0.845452i
$232$	3.00099	−	1.92862i	0.197025	−	0.126620i
$233$	−24.4232	−	3.51152i	−1.60001	−	0.230047i	−0.716204	−	0.697891i	$-0.754122\pi$
$233$	−24.4232	−	3.51152i	−1.60001	−	0.230047i	−0.883811	+	0.467844i	$0.845031\pi$
$234$	4.83378	+	4.98597i	0.315994	+	0.325943i
$235$	−0.432968	−	1.47455i	−0.0282437	−	0.0961893i
$236$	−5.36321	+	2.44929i	−0.349115	+	0.159435i
$237$	−9.28764	+	5.41376i	−0.603297	+	0.351662i
$238$	3.50535	+	24.3803i	0.227218	+	1.58034i
$239$	1.95989	−	6.67479i	0.126775	−	0.431756i	−0.871505	−	0.490387i	$-0.836855\pi$
$239$	1.95989	−	6.67479i	0.126775	−	0.431756i	0.998280	+	0.0586311i	$0.0186736\pi$
$240$	1.35703	−	1.07633i	0.0875957	−	0.0694765i
$241$	3.52414	−	5.48367i	0.227010	−	0.353234i	−0.709000	−	0.705209i	$-0.750853\pi$
$241$	3.52414	−	5.48367i	0.227010	−	0.353234i	0.936010	+	0.351974i	$0.114490\pi$
$242$	3.92450	−	6.10664i	0.252277	−	0.392550i
$243$	15.5453	+	1.15935i	0.997231	+	0.0743725i
$244$	−3.21428	+	10.9468i	−0.205773	+	0.700798i
$245$	1.17191	+	8.15081i	0.0748706	+	0.520736i
$246$	5.54677	+	9.51583i	0.353649	+	0.606707i
$247$	9.11917	−	4.16458i	0.580239	−	0.264986i
$248$	−1.77522	−	6.04584i	−0.112727	−	0.383911i
$249$	−12.3994	+	17.5664i	−0.785779	+	1.11323i
$250$	−0.989821	−	0.142315i	−0.0626018	−	0.00900078i
$251$	4.01980	−	2.58337i	0.253728	−	0.163061i	−0.407594	−	0.913163i	$-0.633632\pi$
$251$	4.01980	−	2.58337i	0.253728	−	0.163061i	0.661322	+	0.750102i	$0.269996\pi$
$252$	−4.26156	+	10.9065i	−0.268453	+	0.687042i
$253$	−7.84456	+	4.95039i	−0.493183	+	0.311228i
$254$		−	18.3928i		−	1.15407i
$255$	10.1302	−	4.10442i	0.634381	−	0.257029i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	4.52121	+	2.06477i	0.282025	+	0.128797i	0.551406	−	0.834237i	$-0.314092\pi$
$257$	4.52121	+	2.06477i	0.282025	+	0.128797i	−0.269380	+	0.963034i	$0.586819\pi$
$258$	−10.5918	+	1.05578i	−0.659415	+	0.0657303i
$259$	−6.83672	−	14.9703i	−0.424813	−	0.930211i
$260$	1.51588	+	1.74942i	0.0940110	+	0.108494i
$261$	10.4208	+	2.43662i	0.645030	+	0.150823i
$262$	8.31411	+	2.44124i	0.513647	+	0.150820i
$263$	−19.7613	+	22.8057i	−1.21853	+	1.40626i	−0.332204	+	0.943208i	$0.607792\pi$
$263$	−19.7613	+	22.8057i	−1.21853	+	1.40626i	−0.886330	+	0.463055i	$0.846753\pi$
$264$	2.30174	−	2.43415i	0.141662	−	0.149811i
$265$	0.914882	+	0.587959i	0.0562008	+	0.0361180i
$266$	12.7752	+	11.0698i	0.783296	+	0.678730i
$267$	−18.9153	−	9.65235i	−1.15760	−	0.590714i
$268$	−6.75944	+	0.971861i	−0.412899	+	0.0593658i
$269$	−6.04625	+	5.23911i	−0.368646	+	0.319434i	−0.819408	−	0.573210i	$-0.805698\pi$
$269$	−6.04625	+	5.23911i	−0.368646	+	0.319434i	0.450762	+	0.892644i	$0.351152\pi$
$270$	5.15207	+	0.675374i	0.313545	+	0.0411020i
$271$	30.2788	−	8.89065i	1.83930	−	0.540068i	0.839310	−	0.543653i	$-0.182959\pi$
$271$	30.2788	−	8.89065i	1.83930	−	0.540068i	0.999994	+	0.00358477i	$0.00114107\pi$
$272$	−2.62149	+	5.74026i	−0.158951	+	0.348054i
$273$	−14.8097	−	5.05692i	−0.896321	−	0.306059i
$274$	−3.70440	−	5.76416i	−0.223791	−	0.348226i
$275$	−1.93417			−0.116635
$276$	7.72420	−	3.05560i	0.464942	−	0.183926i
$277$	17.9196			1.07668			0.538342	−	0.842726i	$-0.319051\pi$
$277$	17.9196			1.07668			0.538342	+	0.842726i	$0.319051\pi$
$278$	−0.836072	−	1.30095i	−0.0501443	−	0.0780260i
$279$	9.31536	−	16.4486i	0.557696	−	0.984752i
$280$	−1.62143	+	3.55044i	−0.0968990	+	0.212179i
$281$	10.6213	−	3.11869i	0.633613	−	0.186046i	0.0508743	−	0.998705i	$-0.483799\pi$
$281$	10.6213	−	3.11869i	0.633613	−	0.186046i	0.582739	+	0.812659i	$0.301981\pi$
$282$	0.638283	+	2.58417i	0.0380092	+	0.153885i
$283$	5.38019	−	4.66196i	0.319819	−	0.277125i	−0.480124	−	0.877201i	$-0.659408\pi$
$283$	5.38019	−	4.66196i	0.319819	−	0.277125i	0.799943	+	0.600076i	$0.204863\pi$
$284$	−0.0540795	+	0.00777546i	−0.00320903	+	0.000461389i
$285$	3.40956	−	6.68159i	0.201965	−	0.395783i
$286$	3.38368	+	2.93197i	0.200081	+	0.173371i
$287$	−20.8807	−	13.4192i	−1.23255	−	0.792109i
$288$	−2.42919	+	1.76040i	−0.143142	+	0.103733i
$289$	−14.9457	+	17.2483i	−0.879159	+	1.01460i
$290$	3.42279	+	1.00502i	0.200993	+	0.0590168i
$291$	−25.9950	−	1.13015i	−1.52385	−	0.0662504i
$292$	−6.38483	−	7.36849i	−0.373644	−	0.431208i
$293$	−0.0544576	−	0.119245i	−0.00318144	−	0.00696639i	0.908035	−	0.418895i	$-0.137583\pi$
$293$	−0.0544576	−	0.119245i	−0.00318144	−	0.00696639i	−0.911216	+	0.411929i	$0.864855\pi$
$294$	−1.41470	−	14.1925i	−0.0825070	−	0.827721i
$295$	−5.36321	−	2.44929i	−0.312258	−	0.142603i
$296$	0.600067	−	4.17356i	0.0348782	−	0.242583i
$297$	10.0495	−	0.125174i	0.583129	−	0.00726331i
$298$			1.44819i			0.0838912i
$299$	4.52821	+	10.1360i	0.261873	+	0.586178i
$300$	1.70210	+	0.320729i	0.0982706	+	0.0185173i
$301$	20.1789	−	12.9682i	1.16309	−	0.747475i
$302$	−13.5742	−	1.95168i	−0.781109	−	0.112307i
$303$	−13.3902	−	9.45161i	−0.769249	−	0.542981i
$304$	1.22014	+	4.15542i	0.0699799	+	0.238330i
$305$	−10.3780	+	4.73945i	−0.594240	+	0.271380i
$306$	−17.8383	+	6.34025i	−1.01975	+	0.362448i
$307$	−2.17055	−	15.0965i	−0.123880	−	0.861605i	−0.953094	−	0.302674i	$-0.902121\pi$
$307$	−2.17055	−	15.0965i	−0.123880	−	0.861605i	0.829214	−	0.558931i	$-0.188788\pi$
$308$	−2.12690	+	7.24357i	−0.121192	+	0.412741i
$309$	10.4750	+	13.2068i	0.595901	+	0.751309i
$310$	3.40662	−	5.30081i	0.193483	−	0.301066i
$311$	7.78247	−	12.1098i	0.441303	−	0.686682i	−0.547349	−	0.836905i	$-0.684363\pi$
$311$	7.78247	−	12.1098i	0.441303	−	0.686682i	0.988652	+	0.150223i	$0.0479992\pi$
$312$	−2.49150	−	3.14127i	−0.141053	−	0.177839i
$313$	5.20775	−	17.7360i	0.294359	−	1.00250i	−0.670975	−	0.741480i	$-0.734124\pi$
$313$	5.20775	−	17.7360i	0.294359	−	1.00250i	0.965335	−	0.261016i	$-0.0840574\pi$
$314$	−0.661138	−	4.59832i	−0.0373102	−	0.259498i
$315$	−11.0333	+	3.92154i	−0.621655	+	0.220954i
$316$	5.64581	−	2.57835i	0.317601	−	0.145044i
$317$	−4.58792	−	15.6250i	−0.257683	−	0.877588i	−0.982121	−	0.188248i	$-0.939719\pi$
$317$	−4.58792	−	15.6250i	−0.257683	−	0.877588i	0.724438	−	0.689340i	$-0.242099\pi$
$318$	−1.53889	−	1.08624i	−0.0862969	−	0.0609134i
$319$	6.82951	+	0.981936i	0.382379	+	0.0549778i
$320$	−0.841254	+	0.540641i	−0.0470275	+	0.0302227i
$321$	−2.90502	−	0.547398i	−0.162142	−	0.0305528i
$322$	−12.3746	+	14.0451i	−0.689610	+	0.782704i
$323$			27.3299i			1.52068i
$324$	−8.86442	−	1.55627i	−0.492468	−	0.0864596i
$325$	−0.329432	+	2.29125i	−0.0182736	+	0.127096i
$326$	−18.2253	−	8.32323i	−1.00941	−	0.460981i
$327$	−1.87033	−	18.7634i	−0.103430	−	1.03762i
$328$	−2.64170	−	5.78452i	−0.145863	−	0.319396i
$329$	−3.92811	−	4.53328i	−0.216564	−	0.249928i
$330$	3.34692	+	0.145509i	0.184242	+	0.00801002i
$331$	−15.5433	−	4.56393i	−0.854338	−	0.250856i	−0.174897	−	0.984587i	$-0.555959\pi$
$331$	−15.5433	−	4.56393i	−0.854338	−	0.250856i	−0.679441	+	0.733730i	$0.737778\pi$
$332$	8.12945	−	9.38189i	0.446162	−	0.514898i
$333$	10.2426	−	7.42269i	0.561293	−	0.406761i
$334$	0.699348	+	0.449444i	0.0382666	+	0.0245925i
$335$	−5.16098	−	4.47201i	−0.281974	−	0.244332i
$336$	3.07285	−	6.02175i	0.167638	−	0.328513i
$337$	−5.62293	+	0.808455i	−0.306300	+	0.0440394i	−0.293751	−	0.955882i	$-0.594904\pi$
$337$	−5.62293	+	0.808455i	−0.306300	+	0.0440394i	−0.0125492	+	0.999921i	$0.503995\pi$
$338$	−5.77516	+	5.00421i	−0.314127	+	0.272193i
$339$	−5.44566	−	22.0474i	−0.295768	−	1.19745i
$340$	−6.05490	+	1.77788i	−0.328373	+	0.0964191i
$341$	5.06282	−	11.0860i	0.274167	−	0.600342i
$342$	−6.40262	+	11.3054i	−0.346214	+	0.611328i
$343$	2.60532	+	4.05395i	0.140674	+	0.218893i
$344$	6.14547			0.331342
$345$	7.36755	+	3.83657i	0.396655	+	0.206554i
$346$	−10.3044			−0.553970
$347$	−16.8146	−	26.1640i	−0.902654	−	1.40456i	−0.914482	−	0.404627i	$-0.867401\pi$
$347$	−16.8146	−	26.1640i	−0.902654	−	1.40456i	0.0118281	−	0.999930i	$-0.496235\pi$
$348$	−5.84724	−	1.99660i	−0.313445	−	0.107029i
$349$	1.39547	−	3.05566i	0.0746979	−	0.163565i	−0.868599	−	0.495515i	$-0.834979\pi$
$349$	1.39547	−	3.05566i	0.0746979	−	0.163565i	0.943297	+	0.331950i	$0.107706\pi$
$350$	−3.74505	+	1.09965i	−0.200181	+	0.0587786i
$351$	1.56337	−	11.9261i	0.0834463	−	0.636568i
$352$	−1.46175	+	1.26661i	−0.0779115	+	0.0675107i
$353$	19.7400	−	2.83819i	1.05065	−	0.151061i	0.404710	−	0.914445i	$-0.367373\pi$
$353$	19.7400	−	2.83819i	1.05065	−	0.151061i	0.645945	+	0.763384i	$0.276463\pi$
$354$	9.09632	+	4.64178i	0.483464	+	0.246708i
$355$	−0.0412909	−	0.0357787i	−0.00219149	−	0.00189894i
$356$	10.3142	+	6.62851i	0.546650	+	0.351311i
$357$	29.3118	−	30.9980i	1.55134	−	1.64059i
$358$	−17.0861	+	19.7184i	−0.903026	+	1.04215i
$359$	−33.9002	−	9.95400i	−1.78918	−	0.525352i	−0.792737	−	0.609564i	$-0.791345\pi$
$359$	−33.9002	−	9.95400i	−1.78918	−	0.525352i	−0.996448	+	0.0842117i	$0.973163\pi$
$360$	−2.92121	−	0.683045i	−0.153961	−	0.0359996i
$361$	−0.159616	−	0.184207i	−0.00840087	−	0.00969512i
$362$	8.72302	+	19.1007i	0.458472	+	1.00391i
$363$	−12.5109	+	1.24708i	−0.656653	+	0.0654550i
$364$	8.21860	+	3.75331i	0.430772	+	0.196727i
$365$	1.38756	−	9.65067i	0.0726281	−	0.505139i
$366$	18.3147	−	7.42048i	0.957326	−	0.387875i
$367$		−	21.0372i		−	1.09813i	−0.835778	−	0.549067i	$-0.814983\pi$
$367$		−	21.0372i		−	1.09813i	0.835778	−	0.549067i	$-0.185017\pi$
$368$	−4.61256	+	1.31312i	−0.240446	+	0.0684509i
$369$	6.94310	−	17.7692i	0.361444	−	0.925030i
$370$	3.54712	−	2.27960i	0.184406	−	0.118511i
$371$	4.20156	+	0.604094i	0.218134	+	0.0313630i
$372$	−6.29366	+	8.91632i	−0.326311	+	0.462290i
$373$	7.82227	+	26.6402i	0.405022	+	1.37938i	0.869561	+	0.493825i	$0.164402\pi$
$373$	7.82227	+	26.6402i	0.405022	+	1.37938i	−0.464539	+	0.885552i	$0.653780\pi$
$374$	−11.1026	+	5.07040i	−0.574104	+	0.262184i
$375$	0.872245	+	1.49639i	0.0450426	+	0.0772733i
$376$	−0.218710	−	1.52116i	−0.0112791	−	0.0784480i
$377$	2.32644	−	7.92312i	0.119818	−	0.408061i
$378$	19.3872	−	5.95585i	0.997169	−	0.306336i
$379$	−1.92560	+	2.99629i	−0.0989115	+	0.153909i	−0.887182	−	0.461419i	$-0.847340\pi$
$379$	−1.92560	+	2.99629i	−0.0989115	+	0.153909i	0.788271	+	0.615329i	$0.210977\pi$
$380$	−2.34143	+	3.64334i	−0.120113	+	0.186900i
$381$	−24.9595	+	19.7967i	−1.27872	+	1.01421i
$382$	7.30114	−	24.8654i	0.373559	−	1.27222i
$383$	−1.44160	−	10.0265i	−0.0736621	−	0.512331i	−0.992930	−	0.118699i	$-0.962128\pi$
$383$	−1.44160	−	10.0265i	−0.0736621	−	0.512331i	0.919268	−	0.393632i	$-0.128782\pi$
$384$	1.49639	−	0.872245i	0.0763624	−	0.0445116i
$385$	−6.86715	+	3.13612i	−0.349982	+	0.159832i
$386$	−1.47947	−	5.03861i	−0.0753030	−	0.256458i
$387$	12.8329	+	13.2370i	0.652335	+	0.672872i
$388$	14.8695	+	2.13791i	0.754884	+	0.108536i
$389$	−8.19325	+	5.26548i	−0.415414	+	0.266971i	−0.731610	−	0.681723i	$-0.761231\pi$
$389$	−8.19325	+	5.26548i	−0.415414	+	0.266971i	0.316196	+	0.948694i	$0.397594\pi$
$390$	0.742428	−	3.94004i	0.0375943	−	0.199512i
$391$	−30.2632	−	0.249786i	−1.53047	−	0.0126322i
$392$			8.23463i			0.415911i
$393$	−5.63586	−	13.9100i	−0.284292	−	0.701669i
$394$	1.77159	−	12.3217i	0.0892512	−	0.620756i
$395$	5.64581	+	2.57835i	0.284071	+	0.129731i
$396$	−5.78062	−	0.503583i	−0.290487	−	0.0253060i
$397$	0.641907	+	1.40558i	0.0322164	+	0.0705440i	0.925056	−	0.379831i	$-0.124018\pi$
$397$	0.641907	+	1.40558i	0.0322164	+	0.0705440i	−0.892840	+	0.450375i	$0.851290\pi$
$398$	−18.1239	−	20.9161i	−0.908467	−	1.04843i
$399$	1.27170	−	29.2509i	0.0636646	−	1.46438i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	−17.0307	+	19.6544i	−0.850471	+	0.981496i	−0.999974	−	0.00726520i	$-0.997687\pi$
$401$	−17.0307	+	19.6544i	−0.850471	+	0.981496i	0.149502	+	0.988761i	$0.452233\pi$
$402$	8.59420	+	8.12670i	0.428640	+	0.405323i
$403$	−12.2704	−	7.88570i	−0.611231	−	0.392815i
$404$	7.15147	+	6.19679i	0.355799	+	0.308302i
$405$	−4.62881	−	7.71843i	−0.230007	−	0.383532i
$406$	13.7820	−	1.98155i	0.683987	−	0.0983425i
$407$	6.16343	−	5.34064i	0.305510	−	0.264726i
$408$	10.6113	−	2.62096i	0.525335	−	0.129757i
$409$	31.0643	−	9.12130i	1.53603	−	0.451019i	0.599140	−	0.800644i	$-0.295509\pi$
$409$	31.0643	−	9.12130i	1.53603	−	0.451019i	0.936890	+	0.349625i	$0.113691\pi$
$410$	2.64170	−	5.78452i	0.130464	−	0.285677i
$411$	−3.83498	+	11.2311i	−0.189165	+	0.553989i
$412$	−5.26160	−	8.18722i	−0.259221	−	0.403355i
$413$	−23.0131			−1.13240
$414$	−12.4603	−	7.19313i	−0.612390	−	0.353523i
$415$	12.4140			0.609380
$416$	1.25148	+	1.94735i	0.0613590	+	0.0954765i
$417$	−0.865543	+	2.53482i	−0.0423858	+	0.124131i
$418$	−3.47977	+	7.61963i	−0.170201	+	0.372688i
$419$	−18.6722	+	5.48266i	−0.912198	+	0.267845i	−0.703966	−	0.710234i	$-0.748589\pi$
$419$	−18.6722	+	5.48266i	−0.912198	+	0.267845i	−0.208232	+	0.978079i	$0.566771\pi$
$420$	6.56322	−	1.62110i	0.320253	−	0.0791017i
$421$	8.35809	−	7.24233i	0.407348	−	0.352969i	−0.426957	−	0.904272i	$-0.640414\pi$
$421$	8.35809	−	7.24233i	0.407348	−	0.352969i	0.834305	+	0.551303i	$0.185869\pi$
$422$	−3.29045	+	0.473095i	−0.160177	+	0.0230299i
$423$	2.81978	−	3.64757i	0.137102	−	0.177351i
$424$	0.821895	+	0.712176i	0.0399147	+	0.0345863i
$425$	−5.30875	−	3.41173i	−0.257512	−	0.165493i
$426$	0.0687587	+	0.0650185i	0.00333137	+	0.00315015i
$427$	−29.1616	+	33.6542i	−1.41123	+	1.62864i
$428$	1.63760	+	0.480841i	0.0791562	+	0.0232423i
$429$	0.336827	−	7.74750i	0.0162622	−	0.374053i
$430$	4.02443	+	4.64444i	0.194075	+	0.223975i
$431$	−4.99683	−	10.9415i	−0.240689	−	0.527035i	0.750281	−	0.661119i	$-0.229918\pi$
$431$	−4.99683	−	10.9415i	−0.240689	−	0.527035i	−0.990970	+	0.134084i	$0.957191\pi$
$432$	5.00352	+	1.40172i	0.240732	+	0.0674401i
$433$	12.1668	+	5.55639i	0.584699	+	0.267023i	0.685725	−	0.727861i	$-0.259485\pi$
$433$	12.1668	+	5.55639i	0.584699	+	0.267023i	−0.101026	+	0.994884i	$0.532213\pi$
$434$	3.50011	−	24.3438i	0.168010	−	1.16854i
$435$	−2.32019	−	5.72654i	−0.111245	−	0.274567i
$436$			10.8868i			0.521381i
$437$	−15.8087	+	13.4715i	−0.756231	+	0.644427i
$438$	−3.12708	+	16.5953i	−0.149418	+	0.792954i
$439$	22.9549	−	14.7522i	1.09558	−	0.704086i	0.137475	−	0.990505i	$-0.456101\pi$
$439$	22.9549	−	14.7522i	1.09558	−	0.704086i	0.958104	+	0.286419i	$0.0924650\pi$
$440$	−1.91448	−	0.275261i	−0.0912694	−	0.0131226i
$441$	−17.7369	+	17.1955i	−0.844613	+	0.818833i
$442$	4.11546	+	14.0160i	0.195753	+	0.666672i
$443$	22.3682	−	10.2152i	1.06275	−	0.485340i	0.194208	−	0.980960i	$-0.437786\pi$
$443$	22.3682	−	10.2152i	1.06275	−	0.485340i	0.868540	+	0.495620i	$0.165059\pi$
$444$	−6.30950	+	3.67780i	−0.299436	+	0.174541i
$445$	1.74485	+	12.1357i	0.0827137	+	0.575287i
$446$	0.409927	−	1.39608i	0.0194106	−	0.0661065i
$447$	1.96523	−	1.55872i	0.0929521	−	0.0737250i
$448$	−2.11021	+	3.28354i	−0.0996978	+	0.155133i
$449$	−3.52002	+	5.47726i	−0.166120	+	0.258488i	−0.914326	−	0.404979i	$-0.867279\pi$
$449$	−3.52002	+	5.47726i	−0.166120	+	0.258488i	0.748206	+	0.663466i	$0.230915\pi$
$450$	−1.39677	−	2.65500i	−0.0658445	−	0.125158i
$451$	3.46524	−	11.8015i	0.163172	−	0.555712i
$452$	1.86598	+	12.9782i	0.0877682	+	0.610441i
$453$	11.9618	+	20.5212i	0.562015	+	0.964172i
$454$	−20.3321	+	9.28537i	−0.954233	+	0.435784i
$455$	2.54548	+	8.66910i	0.119334	+	0.406414i
$456$	4.32575	−	6.12835i	0.202572	−	0.286986i
$457$	9.59794	+	1.37998i	0.448973	+	0.0645525i	0.363093	−	0.931753i	$-0.381721\pi$
$457$	9.59794	+	1.37998i	0.448973	+	0.0645525i	0.0858799	+	0.996306i	$0.472630\pi$
$458$	−21.5330	+	13.8384i	−1.00617	+	0.646627i
$459$	27.8037	+	17.3829i	1.29777	+	0.811365i
$460$	−4.01297	−	2.62603i	−0.187106	−	0.122439i
$461$			10.4902i			0.488576i	0.969703	+	0.244288i	$0.0785542\pi$
$461$			10.4902i			0.488576i	−0.969703	+	0.244288i	$0.921446\pi$
$462$	12.1190	−	4.91018i	0.563825	−	0.228442i
$463$	−3.37874	+	23.4996i	−0.157023	+	1.09212i	0.747057	+	0.664760i	$0.231466\pi$
$463$	−3.37874	+	23.4996i	−0.157023	+	1.09212i	−0.904081	+	0.427362i	$0.859443\pi$
$464$	3.24492	+	1.48190i	0.150642	+	0.0687957i
$465$	−10.8600	+	1.08252i	−0.503619	+	0.0502006i
$466$	−10.2501	−	22.4445i	−0.474826	−	1.03972i
$467$	9.54507	+	11.0156i	0.441693	+	0.509741i	0.932323	−	0.361627i	$-0.117779\pi$
$467$	9.54507	+	11.0156i	0.441693	+	0.509741i	−0.490630	+	0.871368i	$0.663233\pi$
$468$	−1.58112	+	6.76205i	−0.0730874	+	0.312576i
$469$	−25.5748	−	7.50943i	−1.18093	−	0.346753i
$470$	1.00639	−	1.16144i	0.0464215	−	0.0535733i
$471$	−5.52844	+	5.84647i	−0.254737	+	0.269391i
$472$	−4.96005	−	3.18763i	−0.228305	−	0.146722i
$473$	8.98313	+	7.78393i	0.413045	+	0.357906i
$474$	−9.57562	−	4.88636i	−0.439823	−	0.224438i
$475$	−4.28677	+	0.616344i	−0.196690	+	0.0282798i
$476$	−18.6148	+	16.1299i	−0.853210	+	0.739310i
$477$	0.182293	+	3.25747i	0.00834663	+	0.149149i
$478$	6.67479	−	1.95989i	0.305298	−	0.0896435i
$479$	−13.1312	+	28.7534i	−0.599981	+	1.31378i	0.329238	+	0.944247i	$0.393208\pi$
$479$	−13.1312	+	28.7534i	−0.599981	+	1.31378i	−0.929219	+	0.369529i	$0.879519\pi$
$480$	1.63913	+	0.559698i	0.0748156	+	0.0255466i
$481$	−5.27685	−	8.21094i	−0.240604	−	0.374387i
$482$	6.51845			0.296907
$483$	32.3787	+	1.67553i	1.47328	+	0.0762393i
$484$	7.25898			0.329954
$485$	8.12172	+	12.6376i	0.368788	+	0.573846i
$486$	7.42911	+	13.7043i	0.336991	+	0.621641i
$487$	1.74579	−	3.82274i	0.0791091	−	0.173225i	−0.865945	−	0.500140i	$-0.833282\pi$
$487$	1.74579	−	3.82274i	0.0791091	−	0.173225i	0.945054	+	0.326915i	$0.106009\pi$
$488$	−10.9468	+	3.21428i	−0.495539	+	0.145503i
$489$	8.32155	+	33.6908i	0.376313	+	1.52355i
$490$	−6.22332	+	5.39253i	−0.281141	+	0.243610i
$491$	−33.3774	+	4.79894i	−1.50630	+	0.216573i	−0.845495	−	0.533984i	$-0.820694\pi$
$491$	−33.3774	+	4.79894i	−1.50630	+	0.216573i	−0.660806	+	0.750557i	$0.729785\pi$
$492$	−5.00641	+	9.81088i	−0.225707	+	0.442309i
$493$	17.0130	+	14.7419i	0.766228	+	0.663940i
$494$	8.43366	+	5.41999i	0.379448	+	0.243857i
$495$	−3.40492	−	4.69848i	−0.153040	−	0.211181i
$496$	4.12633	−	4.76204i	0.185278	−	0.213822i
$497$	−0.204613	−	0.0600799i	−0.00917816	−	0.00269495i
$498$	−21.4814	−	0.933916i	−0.962605	−	0.0418498i
$499$	−8.19340	−	9.45569i	−0.366787	−	0.423295i	0.542115	−	0.840304i	$-0.317624\pi$
$499$	−8.19340	−	9.45569i	−0.366787	−	0.423295i	−0.908902	+	0.417009i	$0.863078\pi$
$500$	−0.415415	−	0.909632i	−0.0185779	−	0.0406800i
$501$	−0.142819	−	1.43278i	−0.00638069	−	0.0640120i
$502$	4.34654	+	1.98500i	0.193995	+	0.0885948i
$503$	−5.48633	+	38.1583i	−0.244623	+	1.70139i	0.383714	+	0.923452i	$0.374645\pi$
$503$	−5.48633	+	38.1583i	−0.244623	+	1.70139i	−0.628338	+	0.777941i	$0.716264\pi$
$504$	−11.4791	+	2.31143i	−0.511318	+	0.102959i
$505$			9.46276i			0.421087i
$506$	−8.40562	−	3.92288i	−0.373675	−	0.174393i
$507$	13.0068	+	2.45089i	0.577652	+	0.108848i
$508$	15.4730	−	9.94391i	0.686504	−	0.441190i
$509$	35.7326	+	5.13757i	1.58382	+	0.227719i	0.877289	−	0.479963i	$-0.159350\pi$
$509$	35.7326	+	5.13757i	1.58382	+	0.227719i	0.706531	+	0.707682i	$0.250259\pi$
$510$	8.92968	+	6.30309i	0.395413	+	0.279105i
$511$	−10.7215	−	36.5139i	−0.474289	−	1.61528i
$512$	−0.909632	+	0.415415i	−0.0402004	+	0.0183589i
$513$	22.2331	−	3.47980i	0.981615	−	0.153637i
$514$	0.707358	+	4.91978i	0.0312002	+	0.217002i
$515$	2.74187	−	9.33794i	0.120821	−	0.411479i
$516$	−6.61453	−	8.33957i	−0.291188	−	0.367129i
$517$	1.60703	−	2.50058i	0.0706769	−	0.109975i
$518$	8.89763	−	13.8450i	0.390939	−	0.608314i
$519$	11.0909	+	13.9834i	0.486838	+	0.613803i
$520$	−0.652159	+	2.22105i	−0.0285991	+	0.0973994i
$521$	4.99489	+	34.7402i	0.218830	+	1.52200i	0.742367	+	0.669993i	$0.233703\pi$
$521$	4.99489	+	34.7402i	0.218830	+	1.52200i	−0.523537	+	0.852003i	$0.675388\pi$
$522$	3.58409	+	10.0839i	0.156871	+	0.441358i
$523$	−5.88063	+	2.68560i	−0.257142	+	0.117433i	−0.539816	−	0.841783i	$-0.681506\pi$
$523$	−5.88063	+	2.68560i	−0.257142	+	0.117433i	0.282673	+	0.959216i	$0.408779\pi$
$524$	2.44124	+	8.31411i	0.106646	+	0.363204i
$525$	5.52315	+	3.89856i	0.241050	+	0.170147i
$526$	−29.8692	−	4.29454i	−1.30236	−	0.187251i
$527$	33.4509	−	21.4976i	1.45714	−	0.936449i
$528$	3.29215	+	0.620345i	0.143272	+	0.0269970i
$529$	−14.7728	−	17.6285i	−0.642297	−	0.766456i
$530$			1.08752i			0.0472390i
$531$	−3.49159	−	17.3400i	−0.151522	−	0.752493i
$532$	−2.40569	+	16.7319i	−0.104300	+	0.725421i
$533$	−13.3901	−	6.11505i	−0.579989	−	0.264872i
$534$	−2.10634	−	21.1311i	−0.0911501	−	0.914430i
$535$	0.709001	+	1.55250i	0.0306528	+	0.0671203i
$536$	−4.47201	−	5.16098i	−0.193161	−	0.222920i
$537$	45.1485	+	1.96286i	1.94830	+	0.0847035i
$538$	−7.67627	−	2.25396i	−0.330947	−	0.0971749i
$539$	−10.4301	+	12.0370i	−0.449255	+	0.518468i
$540$	2.21726	+	4.69934i	0.0954157	+	0.202227i
$541$	−32.5426	−	20.9139i	−1.39912	−	0.899158i	−0.399273	−	0.916832i	$-0.630738\pi$
$541$	−32.5426	−	20.9139i	−1.39912	−	0.899158i	−0.999844	+	0.0176739i	$0.994374\pi$
$542$	23.8492	+	20.6655i	1.02441	+	0.887658i
$543$	16.5314	−	32.3960i	0.709431	−	1.39025i
$544$	−6.24629	+	0.898081i	−0.267808	+	0.0385049i
$545$	−8.22766	+	7.12931i	−0.352434	+	0.305386i
$546$	−3.75255	−	15.1926i	−0.160594	−	0.650185i
$547$	15.9726	−	4.68999i	0.682941	−	0.200530i	0.0781832	−	0.996939i	$-0.475088\pi$
$547$	15.9726	−	4.68999i	0.682941	−	0.200530i	0.604758	+	0.796409i	$0.293270\pi$
$548$	2.84637	−	6.23268i	0.121591	−	0.266247i
$549$	−29.7824	−	16.8667i	−1.27108	−	0.719854i
$550$	−1.04569	−	1.62713i	−0.0445884	−	0.0693810i
$551$	15.4494			0.658166
$552$	6.74655	+	4.84603i	0.287152	+	0.206261i
$553$	24.2257			1.03018
$554$	9.68807	+	15.0749i	0.411606	+	0.640472i
$555$	−6.91134	−	2.35995i	−0.293370	−	0.100174i
$556$	0.642417	−	1.40670i	0.0272445	−	0.0596572i
$557$	−40.1397	+	11.7861i	−1.70077	+	0.499392i	−0.980867	−	0.194680i	$-0.937633\pi$
$557$	−40.1397	+	11.7861i	−1.70077	+	0.499392i	−0.719905	+	0.694072i	$0.755815\pi$
$558$	18.8737	−	1.05620i	0.798988	−	0.0447126i
$559$	10.7510	−	9.31580i	0.454719	−	0.394017i
$560$	−3.86343	+	0.555477i	−0.163260	+	0.0234732i
$561$	18.8307	+	9.60917i	0.795034	+	0.405699i
$562$	8.36592	+	7.24911i	0.352895	+	0.305785i
$563$	−5.37268	−	3.45281i	−0.226431	−	0.145519i	0.422507	−	0.906360i	$-0.361150\pi$
$563$	−5.37268	−	3.45281i	−0.226431	−	0.145519i	−0.648938	+	0.760841i	$0.724787\pi$
$564$	−1.82886	+	1.93406i	−0.0770087	+	0.0814388i
$565$	−8.58628	+	9.90909i	−0.361227	+	0.416879i
$566$	6.83064	+	2.00566i	0.287113	+	0.0843040i
$567$	−28.9492	−	19.8985i	−1.21575	−	0.835658i
$568$	−0.0357787	−	0.0412909i	−0.00150124	−	0.00173253i
$569$	12.1155	+	26.5293i	0.507910	+	1.11217i	0.973817	+	0.227333i	$0.0730007\pi$
$569$	12.1155	+	26.5293i	0.507910	+	1.11217i	−0.465907	+	0.884833i	$0.654272\pi$
$570$	7.46426	−	0.744035i	0.312643	−	0.0311642i
$571$	8.67285	+	3.96076i	0.362948	+	0.165753i	0.588538	−	0.808470i	$-0.299704\pi$
$571$	8.67285	+	3.96076i	0.362948	+	0.165753i	−0.225590	+	0.974222i	$0.572431\pi$
$572$	−0.637179	+	4.43168i	−0.0266418	+	0.185298i
$573$	−41.6014	+	16.8554i	−1.73792	+	0.704146i
$574$		−	24.8209i		−	1.03600i
$575$	−0.643315	−	4.75249i	−0.0268281	−	0.198192i
$576$	−2.79427	−	1.09182i	−0.116428	−	0.0454926i
$577$	−22.0367	+	14.1621i	−0.917398	+	0.589576i	−0.911902	−	0.410409i	$-0.865386\pi$
$577$	−22.0367	+	14.1621i	−0.917398	+	0.589576i	−0.00549631	+	0.999985i	$0.501750\pi$
$578$	−22.5904	−	3.24801i	−0.939638	−	0.135099i
$579$	−5.24514	+	7.43087i	−0.217981	+	0.308816i
$580$	1.00502	+	3.42279i	0.0417312	+	0.142123i
$581$	44.0752	−	20.1285i	1.82855	−	0.835069i
$582$	−13.1032	−	22.4794i	−0.543146	−	0.931801i
$583$	0.299353	+	2.08204i	0.0123979	+	0.0862295i
$584$	2.74687	−	9.35497i	0.113666	−	0.387111i
$585$	−6.14583	+	3.23327i	−0.254099	+	0.133679i
$586$	0.0708737	−	0.110282i	0.00292776	−	0.00455569i
$587$	−8.18990	+	12.7437i	−0.338033	+	0.525990i	−0.968104	−	0.250548i	$-0.919389\pi$
$587$	−8.18990	+	12.7437i	−0.338033	+	0.525990i	0.630071	+	0.776537i	$0.283026\pi$
$588$	11.1746	−	8.86314i	0.460833	−	0.365510i
$589$	7.68821	−	26.1836i	0.316787	−	1.07888i
$590$	−0.839091	−	5.83601i	−0.0345448	−	0.240265i
$591$	−18.6276	+	10.8580i	−0.766238	+	0.446639i
$592$	3.83544	−	1.75159i	0.157636	−	0.0719898i
$593$	−6.34012	−	21.5925i	−0.260358	−	0.886697i	−0.981101	−	0.193495i	$-0.938018\pi$
$593$	−6.34012	−	21.5925i	−0.260358	−	0.886697i	0.720744	−	0.693202i	$-0.243800\pi$
$594$	5.53846	+	8.38648i	0.227246	+	0.344101i
$595$	−24.3803	−	3.50535i	−0.999493	−	0.143705i
$596$	−1.21829	+	0.782949i	−0.0499032	+	0.0320708i
$597$	−8.87647	+	47.1071i	−0.363290	+	1.92796i
$598$	−6.07878	+	9.28929i	−0.248580	+	0.379867i
$599$			3.12032i			0.127493i	0.997966	+	0.0637464i	$0.0203049\pi$
$599$			3.12032i			0.127493i	−0.997966	+	0.0637464i	$0.979695\pi$
$600$	0.650409	+	1.60529i	0.0265528	+	0.0655359i
$601$	−1.49812	+	10.4196i	−0.0611095	+	0.425026i	0.936185	+	0.351509i	$0.114331\pi$
$601$	−1.49812	+	10.4196i	−0.0611095	+	0.425026i	−0.997294	+	0.0735167i	$0.976578\pi$
$602$	21.8191	+	9.96445i	0.889280	+	0.406121i
$603$	1.77799	−	20.4095i	0.0724055	−	0.831141i
$604$	−5.69693	−	12.4745i	−0.231805	−	0.507581i
$605$	4.75362	+	5.48597i	0.193262	+	0.223037i
$606$	0.711891	−	16.3745i	0.0289186	−	0.665169i
$607$	35.4831	+	10.4188i	1.44021	+	0.422885i	0.906293	−	0.422649i	$-0.138900\pi$
$607$	35.4831	+	10.4188i	1.44021	+	0.422885i	0.533921	+	0.845534i	$0.320718\pi$
$608$	−2.83610	+	3.27304i	−0.115019	+	0.132739i
$609$	−17.5229	−	16.5697i	−0.710063	−	0.671438i
$610$	−9.59783	−	6.16815i	−0.388605	−	0.249741i
$611$	−2.68852	−	2.32962i	−0.108766	−	0.0942462i
$612$	−14.9779	−	11.5788i	−0.605445	−	0.468043i
$613$	−38.4091	+	5.52239i	−1.55133	+	0.223047i	−0.864072	−	0.503368i	$-0.832094\pi$
$613$	−38.4091	+	5.52239i	−1.55133	+	0.223047i	−0.687256	+	0.726415i	$0.741185\pi$
$614$	11.5265	−	9.98779i	0.465173	−	0.403074i
$615$	−10.6931	+	2.64117i	−0.431186	+	0.106502i
$616$	−7.24357	+	2.12690i	−0.291852	+	0.0856954i
$617$	11.5147	−	25.2136i	0.463564	−	1.01506i	−0.523097	−	0.852273i	$-0.675223\pi$
$617$	11.5147	−	25.2136i	0.463564	−	1.01506i	0.986661	−	0.162790i	$-0.0520493\pi$
$618$	−5.44707	+	15.9523i	−0.219113	+	0.641694i
$619$	5.57316	+	8.67201i	0.224004	+	0.348557i	0.935005	−	0.354633i	$-0.115394\pi$
$619$	5.57316	+	8.67201i	0.224004	+	0.348557i	−0.711001	+	0.703191i	$0.751758\pi$
$620$	6.30108			0.253057
$621$	3.65007	+	24.6511i	0.146472	+	0.989215i
$622$	14.3949			0.577183
$623$	25.8721	+	40.2578i	1.03654	+	1.61290i
$624$	1.29560	−	3.79428i	0.0518654	−	0.151893i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	17.7360	−	5.20775i	0.708871	−	0.208143i
$627$	14.0854	−	3.47906i	0.562517	−	0.138940i
$628$	3.51091	−	3.04222i	0.140101	−	0.121398i
$629$	26.3373	−	3.78674i	1.05014	−	0.150987i
$630$	−9.26405	−	7.16164i	−0.369089	−	0.285326i
$631$	21.2299	+	18.3958i	0.845149	+	0.732326i	0.965499	−	0.260405i	$-0.0838562\pi$
$631$	21.2299	+	18.3958i	0.845149	+	0.732326i	−0.120350	+	0.992732i	$0.538402\pi$
$632$	5.22140	+	3.35559i	0.207696	+	0.133478i
$633$	4.18360	+	3.95602i	0.166283	+	0.157238i
$634$	10.6642	−	12.3071i	0.423529	−	0.488778i
$635$	17.6478	+	5.18186i	0.700331	+	0.205636i
$636$	0.0818152	−	1.88187i	0.00324418	−	0.0746209i
$637$	12.4827	+	14.4058i	0.494583	+	0.570780i
$638$	2.86626	+	6.27623i	0.113476	+	0.248478i
$639$	0.0142250	−	0.163289i	0.000562732	−	0.00645959i
$640$	−0.909632	−	0.415415i	−0.0359564	−	0.0164207i
$641$	4.55953	−	31.7123i	0.180091	−	1.25256i	−0.676453	−	0.736485i	$-0.736484\pi$
$641$	4.55953	−	31.7123i	0.180091	−	1.25256i	0.856544	−	0.516074i	$-0.172607\pi$
$642$	−1.11007	−	2.73980i	−0.0438110	−	0.108131i
$643$			20.9604i			0.826598i	0.910595	+	0.413299i	$0.135623\pi$
$643$			20.9604i			0.826598i	−0.910595	+	0.413299i	$0.864377\pi$
$644$	−18.5057	−	2.81681i	−0.729228	−	0.110998i
$645$	1.97103	−	10.4602i	0.0776092	−	0.411869i
$646$	−22.9914	+	14.7757i	−0.904585	+	0.581341i
$647$	16.1780	+	2.32605i	0.636023	+	0.0914463i	0.452781	−	0.891622i	$-0.350432\pi$
$647$	16.1780	+	2.32605i	0.636023	+	0.0914463i	0.183242	+	0.983068i	$0.441341\pi$
$648$	−3.48325	−	8.29861i	−0.136835	−	0.326000i
$649$	−3.21285	−	10.9420i	−0.126115	−	0.429510i
$650$	−2.10563	+	0.961609i	−0.0825896	+	0.0377174i
$651$	−36.8024	+	21.4521i	−1.44240	+	0.840774i
$652$	−2.85141	−	19.8320i	−0.111670	−	0.776681i
$653$	11.8913	−	40.4980i	0.465342	−	1.58481i	−0.308367	−	0.951267i	$-0.599783\pi$
$653$	11.8913	−	40.4980i	0.465342	−	1.58481i	0.773709	−	0.633541i	$-0.218399\pi$
$654$	14.7736	−	11.7177i	0.577694	−	0.458198i
$655$	−4.68471	+	7.28955i	−0.183047	+	0.284826i
$656$	3.43803	−	5.34968i	0.134233	−	0.208870i
$657$	25.8860	−	13.6184i	1.00991	−	0.531305i
$658$	1.68994	−	5.75542i	0.0658808	−	0.224370i
$659$	−6.39908	−	44.5066i	−0.249273	−	1.73373i	−0.602435	−	0.798168i	$-0.705803\pi$
$659$	−6.39908	−	44.5066i	−0.249273	−	1.73373i	0.353162	−	0.935562i	$-0.385106\pi$
$660$	1.68707	+	2.89428i	0.0656692	+	0.112660i
$661$	−11.0913	+	5.06523i	−0.431402	+	0.197015i	−0.619268	−	0.785180i	$-0.712570\pi$
$661$	−11.0913	+	5.06523i	−0.431402	+	0.197015i	0.187865	+	0.982195i	$0.439843\pi$
$662$	−4.56393	−	15.5433i	−0.177382	−	0.604108i
$663$	14.5905	−	20.6706i	0.566647	−	0.802778i
$664$	12.2877	+	1.76670i	0.476854	+	0.0685612i
$665$	−14.2205	+	9.13898i	−0.551449	+	0.354395i
$666$	11.7820	+	4.60365i	0.456541	+	0.178388i
$667$	−0.141202	+	17.1075i	−0.00546736	+	0.662406i
$668$			0.831316i			0.0321646i
$669$	−2.33574	+	0.946360i	−0.0903049	+	0.0365884i
$670$	0.971861	−	6.75944i	0.0375463	−	0.261140i
$671$	−20.0727	−	9.16691i	−0.774899	−	0.353885i
$672$	6.72713	−	0.670558i	0.259505	−	0.0258673i
$673$	−17.2822	−	37.8428i	−0.666181	−	1.45873i	−0.876649	−	0.481131i	$-0.840226\pi$
$673$	−17.2822	−	37.8428i	−0.666181	−	1.45873i	0.210468	−	0.977601i	$-0.432501\pi$
$674$	−3.72010	−	4.29323i	−0.143293	−	0.165369i
$675$	−2.09952	+	4.75310i	−0.0808107	+	0.182947i
$676$	−7.33209	−	2.15290i	−0.282004	−	0.0828037i
$677$	−1.92344	+	2.21976i	−0.0739236	+	0.0853124i	−0.791507	−	0.611161i	$-0.790703\pi$
$677$	−1.92344	+	2.21976i	−0.0739236	+	0.0853124i	0.717583	+	0.696473i	$0.245248\pi$
$678$	15.6033	−	16.5009i	0.599241	−	0.633713i
$679$	49.3267	+	31.7004i	1.89299	+	1.21655i
$680$	−4.76918	−	4.13251i	−0.182890	−	0.158475i
$681$	34.4845	+	17.5971i	1.32145	+	0.674324i
$682$	12.0633	−	1.73444i	0.461928	−	0.0664153i
$683$	34.9509	−	30.2851i	1.33736	−	1.15883i	0.363518	−	0.931587i	$-0.381575\pi$
$683$	34.9509	−	30.2851i	1.33736	−	1.15883i	0.973839	−	0.227240i	$-0.0729701\pi$
$684$	−12.9723	+	0.725948i	−0.496006	+	0.0277573i
$685$	6.57432	−	1.93039i	0.251192	−	0.0737566i
$686$	−2.00186	+	4.38347i	−0.0764314	+	0.167361i
$687$	41.9557	+	14.3262i	1.60071	+	0.546580i
$688$	3.32249	+	5.16990i	0.126669	+	0.197101i
$689$	2.51741			0.0959058
$690$	0.755670	+	8.27218i	0.0287678	+	0.314917i
$691$	−16.1151			−0.613049			−0.306524	−	0.951863i	$-0.599166\pi$
$691$	−16.1151			−0.613049			−0.306524	+	0.951863i	$0.599166\pi$
$692$	−5.57100	−	8.66864i	−0.211778	−	0.329532i
$693$	−19.7072	−	11.1608i	−0.748614	−	0.423964i
$694$	12.9199	−	28.2906i	0.490433	−	1.07390i
$695$	1.48380	−	0.435684i	0.0562839	−	0.0165264i
$696$	−1.48161	−	5.99845i	−0.0561601	−	0.227371i
$697$	30.3281	−	26.2794i	1.14876	−	0.995404i
$698$	3.32503	−	0.478067i	0.125854	−	0.0180951i
$699$	−19.4254	+	38.0673i	−0.734737	+	1.43984i
$700$	−2.94981	−	2.55602i	−0.111492	−	0.0966086i
$701$	30.2943	+	19.4690i	1.14420	+	0.735334i	0.968476	−	0.249106i	$-0.0801367\pi$
$701$	30.2943	+	19.4690i	1.14420	+	0.735334i	0.175725	+	0.984439i	$0.443773\pi$
$702$	10.8781	−	5.13255i	0.410567	−	0.193716i
$703$	11.9584	−	13.8007i	0.451018	−	0.520503i
$704$	−1.85582	−	0.544919i	−0.0699440	−	0.0205374i
$705$	−2.65931	−	0.115615i	−0.100156	−	0.00435432i
$706$	13.0599	+	15.0719i	0.491515	+	0.567239i
$707$	15.3432	+	33.5969i	0.577040	+	1.26354i
$708$	1.01293	+	10.1618i	0.0380682	+	0.381905i
$709$	39.7260	+	18.1423i	1.49194	+	0.681347i	0.983692	−	0.179862i	$-0.0575650\pi$
$709$	39.7260	+	18.1423i	1.49194	+	0.681347i	0.508251	+	0.861209i	$0.330292\pi$
$710$	0.00777546	−	0.0540795i	0.000291808	−	0.00202957i
$711$	3.67557	+	18.2537i	0.137845	+	0.684567i
$712$			12.2605i			0.459481i
$713$	28.9236	+	8.75267i	1.08320	+	0.327790i
$714$	41.9243	+	7.89986i	1.56898	+	0.295645i
$715$	−3.76650	+	2.42058i	−0.140859	+	0.0905247i
$716$	−25.8256	−	3.71316i	−0.965147	−	0.138767i
$717$	−9.84388	−	6.94838i	−0.367626	−	0.259492i
$718$	−9.95400	−	33.9002i	−0.371480	−	1.26514i
$719$	−38.7736	+	17.7073i	−1.44601	+	0.660371i	−0.975091	−	0.221806i	$-0.928805\pi$
$719$	−38.7736	+	17.7073i	−1.44601	+	0.660371i	−0.470919	+	0.882176i	$0.656078\pi$
$720$	−1.00471	−	2.82676i	−0.0374433	−	0.105347i
$721$	−5.40599	−	37.5995i	−0.201330	−	1.40028i
$722$	0.0686698	−	0.233868i	0.00255563	−	0.00870366i
$723$	−7.01598	−	8.84572i	−0.260927	−	0.328976i
$724$	−11.3526	+	17.6649i	−0.421914	+	0.656511i
$725$	−1.92862	+	3.00099i	−0.0716272	+	0.111454i
$726$	−7.81303	−	9.85064i	−0.289969	−	0.365591i
$727$	−3.01521	+	10.2689i	−0.111828	+	0.380851i	−0.996321	−	0.0857030i	$-0.972686\pi$
$727$	−3.01521	+	10.2689i	−0.111828	+	0.380851i	0.884493	+	0.466554i	$0.154505\pi$
$728$	1.28583	+	8.94312i	0.0476559	+	0.331454i
$729$	10.6010	−	24.8318i	0.392629	−	0.919697i
$730$	8.86883	−	4.05026i	0.328250	−	0.149907i
$731$	10.9259	+	37.2102i	0.404109	+	1.37627i
$732$	16.1442	+	11.3955i	0.596707	+	0.421190i
$733$	−34.7857	−	5.00143i	−1.28484	−	0.184732i	−0.534152	−	0.845388i	$-0.679369\pi$
$733$	−34.7857	−	5.00143i	−1.28484	−	0.184732i	−0.750689	+	0.660656i	$0.770278\pi$
$734$	17.6976	−	11.3736i	0.653232	−	0.419806i
$735$	14.0161	+	2.64108i	0.516993	+	0.0974178i
$736$	−3.59840	−	3.17041i	−0.132639	−	0.116863i
$737$		−	13.2084i		−	0.486536i
$738$	18.7022	−	3.76587i	0.688436	−	0.138624i
$739$	−5.13442	+	35.7107i	−0.188873	+	1.31364i	0.646060	+	0.763287i	$0.276416\pi$
$739$	−5.13442	+	35.7107i	−0.188873	+	1.31364i	−0.834933	+	0.550352i	$0.814494\pi$
$740$	3.83544	+	1.75159i	0.140994	+	0.0643896i
$741$	−1.72230	−	17.2784i	−0.0632704	−	0.634737i
$742$	1.76334	+	3.86118i	0.0647343	+	0.141748i
$743$	16.9930	+	19.6110i	0.623414	+	0.719458i	0.976352	−	0.216189i	$-0.0693627\pi$
$743$	16.9930	+	19.6110i	0.623414	+	0.719458i	−0.352938	+	0.935647i	$0.614817\pi$
$744$	−10.9035	−	0.474035i	−0.399741	−	0.0173790i
$745$	−1.38952	−	0.408001i	−0.0509082	−	0.0149480i
$746$	−18.1821	+	20.9833i	−0.665695	+	0.768253i
$747$	21.8537	+	30.1561i	0.799583	+	1.10335i
$748$	−10.2680	−	6.59886i	−0.375436	−	0.241278i
$749$	5.03453	+	4.36244i	0.183958	+	0.159400i
$750$	−0.787273	+	1.54279i	−0.0287472	+	0.0563347i
$751$	−0.734918	+	0.105665i	−0.0268175	+	0.00385578i	−0.155711	−	0.987803i	$-0.549767\pi$
$751$	−0.734918	+	0.105665i	−0.0268175	+	0.00385578i	0.128893	+	0.991659i	$0.458858\pi$
$752$	1.16144	−	1.00639i	0.0423534	−	0.0366994i
$753$	−1.98460	−	8.03487i	−0.0723227	−	0.292807i
$754$	7.92312	−	2.32644i	0.288543	−	0.0847238i
$755$	5.69693	−	12.4745i	0.207332	−	0.453994i
$756$	15.4919	+	13.0896i	0.563434	+	0.476063i
$757$	−4.21214	−	6.55421i	−0.153093	−	0.238217i	0.756233	−	0.654303i	$-0.227038\pi$
$757$	−4.21214	−	6.55421i	−0.153093	−	0.238217i	−0.909325	+	0.416086i	$0.863402\pi$
$758$	−3.56170			−0.129367
$759$	3.72373	+	15.6289i	0.135163	+	0.567295i
$760$	−4.33085			−0.157096
$761$	−16.7006	−	25.9867i	−0.605397	−	0.942017i	−0.999734	−	0.0230509i	$-0.992662\pi$
$761$	−16.7006	−	25.9867i	−0.605397	−	0.942017i	0.394337	−	0.918966i	$-0.370974\pi$
$762$	−30.1482	−	10.2944i	−1.09215	−	0.372928i
$763$	−17.6521	+	38.6527i	−0.639049	+	1.39932i
$764$	24.8654	−	7.30114i	0.899599	−	0.264146i
$765$	−1.05779	−	18.9020i	−0.0382443	−	0.683403i
$766$	7.65546	−	6.63349i	0.276603	−	0.239678i
$767$	−13.5093	+	1.94234i	−0.487791	+	0.0701338i
$768$	1.54279	+	0.787273i	0.0556706	+	0.0284083i
$769$	−21.1625	−	18.3374i	−0.763139	−	0.661264i	0.183696	−	0.982983i	$-0.441194\pi$
$769$	−21.1625	−	18.3374i	−0.763139	−	0.661264i	−0.946835	+	0.321719i	$0.895739\pi$
$770$	−6.35094	−	4.08150i	−0.228872	−	0.147087i
$771$	5.91493	−	6.25519i	0.213021	−	0.225275i
$772$	3.43889	−	3.96869i	0.123768	−	0.142836i
$773$	−20.2276	−	5.93935i	−0.727535	−	0.213624i	−0.103068	−	0.994674i	$-0.532866\pi$
$773$	−20.2276	−	5.93935i	−0.727535	−	0.213624i	−0.624468	+	0.781051i	$0.714684\pi$
$774$	−4.19763	+	17.9522i	−0.150881	+	0.645278i
$775$	4.12633	+	4.76204i	0.148222	+	0.171057i
$776$	6.24053	+	13.6649i	0.224022	+	0.490540i
$777$	−28.3648	+	2.82739i	−1.01758	+	0.101432i
$778$	−8.85921	−	4.04587i	−0.317618	−	0.145051i
$779$	3.91944	−	27.2603i	0.140429	−	0.976703i
$780$	3.71596	−	1.50558i	0.133053	−	0.0539082i
$781$		−	0.105675i		−	0.00378134i
$782$	−16.1514	−	25.5941i	−0.577572	−	0.915241i
$783$	9.82641	−	15.7172i	0.351167	−	0.561688i
$784$	−6.92741	+	4.45198i	−0.247407	+	0.158999i
$785$	4.59832	+	0.661138i	0.164121	+	0.0235970i
$786$	8.65490	−	12.2615i	0.308710	−	0.437354i
$787$	−8.57035	−	29.1879i	−0.305500	−	1.04044i	−0.958975	−	0.283489i	$-0.908508\pi$
$787$	−8.57035	−	29.1879i	−0.305500	−	1.04044i	0.653476	−	0.756948i	$-0.273310\pi$
$788$	11.3234	−	5.17124i	0.403380	−	0.184218i
$789$	26.3212	+	45.1556i	0.937058	+	1.60758i
$790$	0.883305	+	6.14352i	0.0314266	+	0.218577i
$791$	−14.4181	+	49.1037i	−0.512650	+	1.74592i
$792$	−2.70160	−	5.13522i	−0.0959971	−	0.182472i
$793$	−14.2781	+	22.2172i	−0.507031	+	0.788956i
$794$	−0.835408	+	1.29992i	−0.0296475	+	0.0461324i
$795$	1.47580	−	1.17053i	0.0523411	−	0.0415144i
$796$	7.79721	−	26.5548i	0.276365	−	0.941212i
$797$	3.04361	+	21.1688i	0.107810	+	0.749837i	0.969974	+	0.243207i	$0.0781996\pi$
$797$	3.04361	+	21.1688i	0.107810	+	0.749837i	−0.862164	+	0.506629i	$0.830891\pi$
$798$	25.2950	−	14.7444i	0.895432	−	0.521947i
$799$	8.82166	−	4.02872i	0.312088	−	0.142526i
$800$	−0.281733	−	0.959493i	−0.00996075	−	0.0339232i
$801$	−26.4083	+	25.6023i	−0.933092	+	0.904611i
$802$	−25.7418	−	3.70112i	−0.908976	−	0.130691i
$803$	15.8644	−	10.1954i	0.559841	−	0.359788i
$804$	−2.19024	+	11.6235i	−0.0772439	+	0.409930i
$805$	−9.98987	−	15.8303i	−0.352097	−	0.557945i
$806$		−	14.5858i		−	0.513764i
$807$	5.20349	+	12.8429i	0.183171	+	0.452091i
$808$	−1.34669	+	9.36644i	−0.0473764	+	0.329510i
$809$	−20.1327	−	9.19431i	−0.707829	−	0.323255i	0.0287683	−	0.999586i	$-0.490842\pi$
$809$	−20.1327	−	9.19431i	−0.707829	−	0.323255i	−0.736598	+	0.676331i	$0.763569\pi$
$810$	3.99063	−	8.06690i	0.140216	−	0.283442i
$811$	4.57710	+	10.0224i	0.160724	+	0.351936i	0.972811	−	0.231600i	$-0.0743961\pi$
$811$	4.57710	+	10.0224i	0.160724	+	0.351936i	−0.812087	+	0.583536i	$0.801669\pi$
$812$	9.11807	+	10.5228i	0.319981	+	0.369278i
$813$	2.37406	−	54.6068i	0.0832620	−	1.91514i
$814$	7.82503	+	2.29764i	0.274267	+	0.0805322i
$815$	13.1207	−	15.1422i	0.459600	−	0.530406i
$816$	7.94177	+	7.50976i	0.278017	+	0.262894i
$817$	22.3901	+	14.3892i	0.783329	+	0.503415i
$818$	24.4679	+	21.2016i	0.855501	+	0.741296i
$819$	−16.5779	+	21.4446i	−0.579277	+	0.749333i
$820$	6.29445	−	0.905006i	0.219812	−	0.0316042i
$821$	12.5194	−	10.8481i	0.436930	−	0.378602i	−0.408438	−	0.912786i	$-0.633926\pi$
$821$	12.5194	−	10.8481i	0.436930	−	0.378602i	0.845368	+	0.534184i	$0.179381\pi$
$822$	−11.5215	+	2.84579i	−0.401860	+	0.0992585i
$823$	19.9036	−	5.84421i	0.693794	−	0.203716i	0.0842222	−	0.996447i	$-0.473159\pi$
$823$	19.9036	−	5.84421i	0.693794	−	0.203716i	0.609572	+	0.792731i	$0.291341\pi$
$824$	4.04289	−	8.85269i	0.140841	−	0.308398i
$825$	−1.08255	+	3.17035i	−0.0376896	+	0.110378i
$826$	−12.4418	−	19.3598i	−0.432906	−	0.673615i
$827$	−17.9349			−0.623659			−0.311830	−	0.950138i	$-0.600942\pi$
$827$	−17.9349			−0.623659			−0.311830	+	0.950138i	$0.600942\pi$
$828$	−0.685300	−	14.3712i	−0.0238158	−	0.499432i
$829$	55.4840			1.92704			0.963519	−	0.267641i	$-0.0862440\pi$
$829$	55.4840			1.92704			0.963519	+	0.267641i	$0.0862440\pi$
$830$	6.71152	+	10.4433i	0.232960	+	0.362493i
$831$	10.0296	−	29.3725i	0.347922	−	1.01892i
$832$	−0.961609	+	2.10563i	−0.0333378	+	0.0729996i
$833$	−49.8599	+	14.6402i	−1.72754	+	0.507252i
$834$	−2.60038	+	0.642287i	−0.0900437	+	0.0222406i
$835$	−0.628267	+	0.544397i	−0.0217421	+	0.0188396i
$836$	−8.29134	+	1.19212i	−0.286762	+	0.0412302i
$837$	−21.7476	−	24.4753i	−0.751706	−	0.845991i
$838$	−14.7073	−	12.7439i	−0.508054	−	0.440232i
$839$	−31.6919	−	20.3672i	−1.09413	−	0.703153i	−0.136349	−	0.990661i	$-0.543537\pi$
$839$	−31.6919	−	20.3672i	−1.09413	−	0.703153i	−0.957778	+	0.287508i	$0.907173\pi$
$840$	4.91210	+	4.64490i	0.169484	+	0.160264i
$841$	−10.6575	+	12.2994i	−0.367500	+	0.424118i
$842$	10.6114	+	3.11578i	0.365692	+	0.107377i
$843$	0.832782	−	19.1552i	0.0286825	−	0.659739i
$844$	−2.17694	−	2.51233i	−0.0749335	−	0.0864779i
$845$	−3.17445	−	6.95107i	−0.109204	−	0.239124i
$846$	4.59302	+	0.400125i	0.157911	+	0.0137566i
$847$	25.7726	+	11.7699i	0.885555	+	0.404420i
$848$	−0.154771	+	1.07645i	−0.00531484	+	0.0369655i
$849$	−4.63026	−	11.4281i	−0.158910	−	0.392211i
$850$		−	6.31052i		−	0.216449i
$851$	15.1726	+	13.3680i	0.520109	+	0.458248i
$852$	−0.0175232	+	0.0929952i	−0.000600336	+	0.00318596i
$853$	−20.7332	+	13.3244i	−0.709892	+	0.456220i	−0.845108	−	0.534596i	$-0.820464\pi$
$853$	−20.7332	+	13.3244i	−0.709892	+	0.456220i	0.135215	+	0.990816i	$0.456827\pi$
$854$	−44.0777	−	6.33741i	−1.50831	−	0.216862i
$855$	−9.04365	−	9.32838i	−0.309286	−	0.319024i
$856$	0.480841	+	1.63760i	0.0164348	+	0.0559719i
$857$	−30.0675	+	13.7314i	−1.02709	+	0.469054i	−0.856423	−	0.516275i	$-0.827318\pi$
$857$	−30.0675	+	13.7314i	−1.02709	+	0.469054i	−0.170663	+	0.985330i	$0.554591\pi$
$858$	6.69972	−	3.90526i	0.228725	−	0.133323i
$859$	4.02069	+	27.9645i	0.137184	+	0.954137i	0.935859	+	0.352374i	$0.114626\pi$
$859$	4.02069	+	27.9645i	0.137184	+	0.954137i	−0.798675	+	0.601763i	$0.794465\pi$
$860$	−1.73138	+	5.89654i	−0.0590395	+	0.201070i
$861$	−33.6826	+	26.7154i	−1.14790	+	0.910457i
$862$	6.50311	−	10.1190i	0.221497	−	0.344656i
$863$	12.4962	−	19.4445i	0.425375	−	0.661897i	−0.560734	−	0.827996i	$-0.689481\pi$
$863$	12.4962	−	19.4445i	0.425375	−	0.661897i	0.986109	+	0.166099i	$0.0531172\pi$
$864$	1.52591	+	4.96705i	0.0519124	+	0.168983i
$865$	2.90310	−	9.88703i	0.0987082	−	0.336169i
$866$	1.90353	+	13.2394i	0.0646847	+	0.449892i
$867$	19.9070	+	34.1517i	0.676078	+	1.15985i
$868$	22.3716	−	10.2168i	0.759341	−	0.346779i
$869$	3.38214	+	11.5185i	0.114731	+	0.390739i
$870$	3.56308	−	5.04787i	0.120800	−	0.171139i
$871$	−15.6469	−	2.24968i	−0.530173	−	0.0762274i
$872$	−9.15852	+	5.88582i	−0.310147	+	0.199319i
$873$	−16.4018	+	41.9766i	−0.555117	+	1.42069i
$874$	−19.8797	−	6.01587i	−0.672442	−	0.203490i
$875$		−	3.90316i		−	0.131951i
$876$	−15.6515	+	6.34143i	−0.528814	+	0.214257i
$877$	−0.913491	+	6.35347i	−0.0308464	+	0.214541i	−0.999415	−	0.0342059i	$-0.989110\pi$
$877$	−0.913491	+	6.35347i	−0.0308464	+	0.214541i	0.968568	+	0.248747i	$0.0800189\pi$
$878$	24.8208	+	11.3353i	0.837660	+	0.382546i
$879$	−0.225938	+	0.0225214i	−0.00762071	+	0.000759630i
$880$	−0.803484	−	1.75938i	−0.0270854	−	0.0593088i
$881$	−23.8081	−	27.4761i	−0.802117	−	0.925692i	0.196379	−	0.980528i	$-0.437082\pi$
$881$	−23.8081	−	27.4761i	−0.802117	−	0.925692i	−0.998495	+	0.0548362i	$0.982536\pi$
$882$	−24.0551	−	5.62462i	−0.809976	−	0.189391i
$883$	18.3044	+	5.37466i	0.615993	+	0.180872i	0.574819	−	0.818280i	$-0.305072\pi$
$883$	18.3044	+	5.37466i	0.615993	+	0.180872i	0.0411731	+	0.999152i	$0.486890\pi$
$884$	−9.56601	+	11.0398i	−0.321740	+	0.371307i
$885$	−7.01648	+	7.42011i	−0.235856	+	0.249424i
$886$	20.6868	+	13.2946i	0.694986	+	0.446641i
$887$	−43.2994	−	37.5192i	−1.45385	−	1.25977i	−0.906055	−	0.423160i	$-0.860921\pi$
$887$	−43.2994	−	37.5192i	−1.45385	−	1.25977i	−0.547798	−	0.836611i	$-0.684534\pi$
$888$	−6.50514	−	3.31952i	−0.218298	−	0.111396i
$889$	71.0593	−	10.2168i	2.38325	−	0.342660i
$890$	−9.26585	+	8.02891i	−0.310592	+	0.269130i
$891$	5.41949	−	16.5424i	0.181560	−	0.554192i
$892$	1.39608	−	0.409927i	0.0467444	−	0.0137254i
$893$	2.76487	−	6.05422i	0.0925228	−	0.202597i
$894$	2.37376	+	0.810547i	0.0793905	+	0.0271087i
$895$	−14.1059	−	21.9493i	−0.471509	−	0.733683i
$896$	−3.90316			−0.130395
$897$	19.1486	−	1.74923i	0.639352	−	0.0584053i
$898$	−6.51083			−0.217269
$899$	−12.1524	−	18.9095i	−0.405305	−	0.630667i
$900$	1.47838	−	2.61044i	0.0492792	−	0.0870147i
$901$	−2.85093	+	6.24266i	−0.0949781	+	0.207973i
$902$	11.8015	−	3.46524i	0.392948	−	0.115380i
$903$	−9.96244	−	40.3341i	−0.331529	−	1.34223i
$904$	−9.90909	+	8.58628i	−0.329572	+	0.285575i
$905$	−20.7846	+	2.98837i	−0.690903	+	0.0993369i
$906$	−10.7965	+	21.1575i	−0.358690	+	0.702912i
$907$	18.3239	+	15.8778i	0.608436	+	0.527213i	0.903680	−	0.428209i	$-0.140855\pi$
$907$	18.3239	+	15.8778i	0.608436	+	0.527213i	−0.295244	+	0.955422i	$0.595401\pi$
$908$	−18.8037	−	12.0844i	−0.624023	−	0.401035i
$909$	−22.9869	+	16.6583i	−0.762427	+	0.552519i
$910$	−5.91672	+	6.82826i	−0.196137	+	0.226355i
$911$	−12.2430	−	3.59488i	−0.405630	−	0.119104i	0.0725516	−	0.997365i	$-0.476886\pi$
$911$	−12.2430	−	3.59488i	−0.405630	−	0.119104i	−0.478182	+	0.878261i	$0.658704\pi$
$912$	7.49417	+	0.325813i	0.248157	+	0.0107888i
$913$	15.7237	+	18.1462i	0.520380	+	0.600551i
$914$	4.02813	+	8.82037i	0.133239	+	0.291752i
$915$	1.96005	+	19.6634i	0.0647971	+	0.650054i
$916$	−23.2833	−	10.6331i	−0.769300	−	0.351328i
$917$	−4.81327	+	33.4770i	−0.158948	+	1.10551i
$918$	0.408398	+	32.7879i	0.0134791	+	1.08216i
$919$			24.2450i			0.799768i	0.916566	+	0.399884i	$0.130950\pi$
$919$			24.2450i			0.799768i	−0.916566	+	0.399884i	$0.869050\pi$
$920$	0.0395825	−	4.79567i	0.00130500	−	0.158108i
$921$	−25.9600	−	4.89169i	−0.855411	−	0.161187i
$922$	−8.82490	+	5.67142i	−0.290632	+	0.186778i
$923$	−0.125184	−	0.0179988i	−0.00412049	−	0.000592436i
$924$	10.6827	+	7.54048i	0.351435	+	0.248063i
$925$	1.18792	+	4.04568i	0.0390585	+	0.133021i
$926$	−21.5958	+	9.86249i	−0.709684	+	0.324102i
$927$	27.5105	−	9.77800i	0.903562	−	0.321152i
$928$	0.507678	+	3.53098i	0.0166653	+	0.115910i
$929$	13.1474	−	44.7759i	0.431352	−	1.46905i	−0.401656	−	0.915791i	$-0.631565\pi$
$929$	13.1474	−	44.7759i	0.431352	−	1.46905i	0.833008	−	0.553260i	$-0.186617\pi$
$930$	−6.78202	−	8.55074i	−0.222391	−	0.280390i
$931$	−19.2808	+	30.0016i	−0.631904	+	0.983262i
$932$	13.3399	−	20.7574i	0.436964	−	0.679930i
$933$	−15.4936	−	19.5343i	−0.507238	−	0.639523i
$934$	−4.10646	+	13.9853i	−0.134367	+	0.457613i
$935$	−1.73704	−	12.0814i	−0.0568074	−	0.395104i
$936$	−6.54342	+	2.32572i	−0.213878	+	0.0760185i
$937$	33.2301	−	15.1757i	1.08558	−	0.495768i	0.209438	−	0.977822i	$-0.432836\pi$
$937$	33.2301	−	15.1757i	1.08558	−	0.495768i	0.876141	+	0.482054i	$0.160109\pi$
$938$	−7.50943	−	25.5748i	−0.245191	−	0.835046i
$939$	−26.1567	−	18.4629i	−0.853592	−	0.602515i
$940$	1.52116	+	0.218710i	0.0496149	+	0.00713354i
$941$	23.2046	−	14.9127i	0.756447	−	0.486139i	−0.104694	−	0.994504i	$-0.533386\pi$
$941$	23.2046	−	14.9127i	0.756447	−	0.486139i	0.861142	+	0.508365i	$0.169750\pi$
$942$	−7.90726	−	1.48998i	−0.257633	−	0.0485461i
$943$	30.1503	+	4.58926i	0.981829	+	0.149447i
$944$		−	5.89602i		−	0.191899i
$945$	0.252600	+	20.2798i	0.00821709	+	0.659703i
$946$	−1.69161	+	11.7654i	−0.0549990	+	0.382526i
$947$	−7.85751	−	3.58841i	−0.255335	−	0.116608i	0.283636	−	0.958932i	$-0.408459\pi$
$947$	−7.85751	−	3.58841i	−0.255335	−	0.116608i	−0.538971	+	0.842325i	$0.681187\pi$
$948$	−1.06630	−	10.6973i	−0.0346319	−	0.347432i
$949$	−9.37560	−	20.5297i	−0.304345	−	0.666422i
$950$	−2.83610	−	3.27304i	−0.0920153	−	0.106191i
$951$	−28.1792	−	1.22511i	−0.913774	−	0.0397268i
$952$	−23.6332	−	6.93934i	−0.765958	−	0.224905i
$953$	−17.2780	+	19.9399i	−0.559691	+	0.645917i	−0.963113	−	0.269096i	$-0.913275\pi$
$953$	−17.2780	+	19.9399i	−0.559691	+	0.645917i	0.403423	+	0.915014i	$0.367820\pi$
$954$	−2.64180	+	1.91448i	−0.0855315	+	0.0619835i
$955$	21.8012	+	14.0108i	0.705471	+	0.453378i
$956$	5.25743	+	4.55559i	0.170037	+	0.147338i
$957$	5.43198	−	10.6449i	0.175591	−	0.344099i
$958$	−31.2882	+	4.49856i	−1.01087	+	0.145342i
$959$	20.2117	−	17.5135i	0.652670	−	0.565542i
$960$	0.415331	+	1.68152i	0.0134048	+	0.0542707i
$961$	−8.35106	+	2.45209i	−0.269389	+	0.0790998i
$962$	4.05460	−	8.87834i	0.130726	−	0.286249i
$963$	−2.52319	+	4.45532i	−0.0813086	+	0.143571i
$964$	3.52414	+	5.48367i	0.113505	+	0.176617i
$965$	5.25133			0.169046
$966$	16.0957	+	28.1446i	0.517871	+	0.905537i
$967$	22.0085			0.707746			0.353873	−	0.935293i	$-0.384864\pi$
$967$	22.0085			0.707746			0.353873	+	0.935293i	$0.384864\pi$
$968$	3.92450	+	6.10664i	0.126138	+	0.196275i
$969$	44.7972	+	15.2965i	1.43909	+	0.491395i
$970$	−6.24053	+	13.6649i	−0.200371	+	0.438752i
$971$	18.8239	−	5.52720i	0.604089	−	0.177376i	0.0346352	−	0.999400i	$-0.488973\pi$
$971$	18.8239	−	5.52720i	0.604089	−	0.177376i	0.569453	+	0.822024i	$0.307155\pi$
$972$	−7.51233	+	13.6589i	−0.240958	+	0.438109i
$973$	4.56172	−	3.95275i	0.146242	−	0.126719i
$974$	4.15974	−	0.598080i	0.133287	−	0.0191637i
$975$	3.57127	+	1.82239i	0.114372	+	0.0583632i
$976$	−8.62232	−	7.47128i	−0.275994	−	0.239150i
$977$	33.8855	+	21.7769i	1.08409	+	0.696705i	0.955500	−	0.294992i	$-0.0953171\pi$
$977$	33.8855	+	21.7769i	1.08409	+	0.696705i	0.128594	+	0.991697i	$0.458954\pi$
$978$	−23.8435	+	25.2151i	−0.762431	+	0.806291i
$979$	−15.5293	+	17.9217i	−0.496318	+	0.572781i
$980$	−7.90107	−	2.31996i	−0.252390	−	0.0741085i
$981$	−31.8025	−	7.43614i	−1.01537	−	0.237418i
$982$	−22.0823	−	25.4843i	−0.704675	−	0.813238i
$983$	16.6171	+	36.3863i	0.530002	+	1.16054i	0.965512	+	0.260358i	$0.0838406\pi$
$983$	16.6171	+	36.3863i	0.530002	+	1.16054i	−0.435511	+	0.900184i	$0.643432\pi$
$984$	−10.9601	+	1.09250i	−0.349396	+	0.0348276i
$985$	11.3234	+	5.17124i	0.360794	+	0.164769i
$986$	−3.20371	+	22.2823i	−0.102027	+	0.709613i
$987$	−9.62919	+	3.90141i	−0.306500	+	0.124183i
$988$			10.0251i			0.318941i
$989$	−16.1382	+	24.6616i	−0.513165	+	0.784193i
$990$	2.11177	−	5.40459i	0.0671166	−	0.171769i
$991$	−12.2644	+	7.88188i	−0.389593	+	0.250376i	−0.720744	−	0.693202i	$-0.756199\pi$
$991$	−12.2644	+	7.88188i	−0.389593	+	0.250376i	0.331151	+	0.943578i	$0.392563\pi$
$992$	6.23694	+	0.896737i	0.198023	+	0.0284714i
$993$	−16.1804	+	22.9231i	−0.513470	+	0.727441i
$994$	−0.0600799	−	0.204613i	−0.00190562	−	0.00648994i
$995$	25.1749	−	11.4970i	0.798098	−	0.364479i
$996$	−10.8281	−	18.5762i	−0.343100	−	0.588610i
$997$	2.75199	+	19.1405i	0.0871564	+	0.606186i	0.985853	+	0.167614i	$0.0536064\pi$
$997$	2.75199	+	19.1405i	0.0871564	+	0.606186i	−0.898696	+	0.438572i	$0.855485\pi$
$998$	3.52495	−	12.0049i	0.111580	−	0.380007i
$999$	−6.43395	−	20.9435i	−0.203561	−	0.662622i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.q.a.11.13	✓	160
3.2	odd	2		690.2.q.b.11.5	yes	160
23.21	odd	22		690.2.q.b.251.5	yes	160
69.44	even	22	inner	690.2.q.a.251.13	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.q.a.11.13	✓	160	1.1	even	1	trivial
690.2.q.a.251.13	yes	160	69.44	even	22	inner
690.2.q.b.11.5	yes	160	3.2	odd	2
690.2.q.b.251.5	yes	160	23.21	odd	22

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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.q (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.540641 + 0.841254i) q^{2} +(0.559698 - 1.63913i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.68152 - 0.415331i) q^{6} +(-2.94981 + 2.55602i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.37348 - 1.83483i) q^{9} +O(q^{10})\)	\(q+(0.540641 + 0.841254i) q^{2} +(0.559698 - 1.63913i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.68152 - 0.415331i) q^{6} +(-2.94981 + 2.55602i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.37348 - 1.83483i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(-1.62713 - 1.04569i) q^{11} +(1.25850 + 1.19004i) q^{12} +(-1.51588 + 1.74942i) q^{13} +(-3.74505 - 1.09965i) q^{14} +(-0.0752308 + 1.73042i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-2.62149 - 5.74026i) q^{17} +(0.260361 - 2.98868i) q^{18} +(-3.93948 - 1.79910i) q^{19} +(0.142315 - 0.989821i) q^{20} +(2.53865 + 6.26571i) q^{21} -1.93417i q^{22} +(2.02820 - 4.34585i) q^{23} +(-0.320729 + 1.70210i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-2.29125 - 0.329432i) q^{26} +(-4.33595 + 2.86348i) q^{27} +(-1.09965 - 3.74505i) q^{28} +(-3.24492 + 1.48190i) q^{29} +(-1.49639 + 0.872245i) q^{30} +(0.896737 + 6.23694i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-2.62472 + 2.08180i) q^{33} +(3.41173 - 5.30875i) q^{34} +(2.11021 - 3.28354i) q^{35} +(2.65500 - 1.39677i) q^{36} +(-1.18792 + 4.04568i) q^{37} +(-0.616344 - 4.28677i) q^{38} +(2.01909 + 3.46387i) q^{39} +(0.909632 - 0.415415i) q^{40} +(1.79159 + 6.10159i) q^{41} +(-3.89856 + 5.52315i) q^{42} +(-6.08292 - 0.874592i) q^{43} +(1.62713 - 1.04569i) q^{44} +(2.79427 + 1.09182i) q^{45} +(4.75249 - 0.643315i) q^{46} +1.53681i q^{47} +(-1.60529 + 0.650409i) q^{48} +(1.17191 - 8.15081i) q^{49} +(0.909632 + 0.415415i) q^{50} +(-10.8762 + 1.08414i) q^{51} +(-0.961609 - 2.10563i) q^{52} +(-0.712176 - 0.821895i) q^{53} +(-4.75310 - 2.09952i) q^{54} +(1.85582 + 0.544919i) q^{55} +(2.55602 - 2.94981i) q^{56} +(-5.15387 + 5.45036i) q^{57} +(-3.00099 - 1.92862i) q^{58} +(4.45591 + 3.86107i) q^{59} +(-1.54279 - 0.787273i) q^{60} +(11.2928 - 1.62366i) q^{61} +(-4.76204 + 4.12633i) q^{62} +(11.6912 - 0.654257i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.961609 - 2.10563i) q^{65} +(-3.17035 - 1.08255i) q^{66} +(3.69201 + 5.74488i) q^{67} +6.31052 q^{68} +(-5.98822 - 5.75684i) q^{69} +3.90316 q^{70} +(0.0295383 + 0.0459624i) q^{71} +(2.61044 + 1.47838i) q^{72} +(-4.05026 + 8.86883i) q^{73} +(-4.04568 + 1.18792i) q^{74} +(-0.415331 - 1.68152i) q^{75} +(3.27304 - 2.83610i) q^{76} +(7.47253 - 1.07439i) q^{77} +(-1.82239 + 3.57127i) q^{78} +(-4.69071 - 4.06452i) q^{79} +(0.841254 + 0.540641i) q^{80} +(2.26678 + 8.70986i) q^{81} +(-4.16438 + 4.80595i) q^{82} +(-11.9112 - 3.49743i) q^{83} +(-6.75408 - 0.293638i) q^{84} +(4.13251 + 4.76918i) q^{85} +(-2.55292 - 5.59012i) q^{86} +(0.612856 + 6.14825i) q^{87} +(1.75938 + 0.803484i) q^{88} +(1.74485 - 12.1357i) q^{89} +(0.592194 + 2.94097i) q^{90} -9.03508i q^{91} +(3.11058 + 3.65025i) q^{92} +(10.7250 + 2.02094i) q^{93} +(-1.29284 + 0.830860i) q^{94} +(4.28677 + 0.616344i) q^{95} +(-1.41505 - 0.998822i) q^{96} +(-4.23230 - 14.4139i) q^{97} +(7.49048 - 3.42079i) q^{98} +(1.94328 + 5.46743i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

Introduction

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