LMFDB - Embedded newform 290.2.l.b.109.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [290,2,Mod(9,290)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(290, base_ring=CyclotomicField(14)) chi = DirichletCharacter(H, H._module([7, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("290.9"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 290 = 2 \cdot 5 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	290.l (of order $14$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [48,8] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$2.31566165862$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$8$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			109.5
Character	$\chi$	$=$	290.109
Dual form			290.2.l.b.149.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.222521 + 0.974928i) q^{2} +(0.0258055 + 0.0124273i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.0497182 - 2.23552i) q^{5} +(-0.00637343 + 0.0279238i) q^{6} +(1.83110 - 3.80231i) q^{7} +(-0.623490 - 0.781831i) q^{8} +(-1.86996 - 2.34485i) q^{9} +(2.16840 - 0.545921i) q^{10} +(-3.67042 - 2.92706i) q^{11} -0.0286419 q^{12} +(3.94639 + 3.14714i) q^{13} +(4.11444 + 0.939093i) q^{14} +(0.0264984 - 0.0583064i) q^{15} +(0.623490 - 0.781831i) q^{16} -4.51825 q^{17} +(1.86996 - 2.34485i) q^{18} +(2.57719 + 5.35160i) q^{19} +(1.01475 + 1.99256i) q^{20} +(0.0945047 - 0.0753650i) q^{21} +(2.03693 - 4.22972i) q^{22} +(7.99318 + 1.82439i) q^{23} +(-0.00637343 - 0.0279238i) q^{24} +(-4.99506 + 0.222292i) q^{25} +(-2.19008 + 4.54775i) q^{26} +(-0.0382354 - 0.167520i) q^{27} +4.22025i q^{28} +(2.93508 - 4.51501i) q^{29} +(0.0627410 + 0.0128596i) q^{30} +(0.562859 - 0.128469i) q^{31} +(0.900969 + 0.433884i) q^{32} +(-0.0583415 - 0.121147i) q^{33} +(-1.00540 - 4.40497i) q^{34} +(-8.59116 - 3.90440i) q^{35} +(2.70217 + 1.30130i) q^{36} +(1.08792 + 1.36421i) q^{37} +(-4.64394 + 3.70342i) q^{38} +(0.0627282 + 0.130256i) q^{39} +(-1.71680 + 1.43269i) q^{40} +1.09436i q^{41} +(0.0945047 + 0.0753650i) q^{42} +(-1.21896 + 5.34061i) q^{43} +(4.57693 + 1.04466i) q^{44} +(-5.14898 + 4.29690i) q^{45} +8.19874i q^{46} +(0.174213 - 0.218456i) q^{47} +(0.0258055 - 0.0124273i) q^{48} +(-6.74023 - 8.45198i) q^{49} +(-1.32822 - 4.82036i) q^{50} +(-0.116596 - 0.0561495i) q^{51} +(-4.92107 - 1.12320i) q^{52} +(-0.286566 + 0.0654067i) q^{53} +(0.154812 - 0.0745534i) q^{54} +(-6.36100 + 8.35080i) q^{55} +(-4.11444 + 0.939093i) q^{56} +0.170128i q^{57} +(5.05493 + 1.85680i) q^{58} +11.2646 q^{59} +(0.00142403 + 0.0640295i) q^{60} +(3.48988 - 7.24681i) q^{61} +(0.250496 + 0.520160i) q^{62} +(-12.3399 + 2.81651i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(6.83928 - 8.97869i) q^{65} +(0.105128 - 0.0838366i) q^{66} +(-0.131849 + 0.105146i) q^{67} +(4.07080 - 1.96039i) q^{68} +(0.183596 + 0.146413i) q^{69} +(1.89480 - 9.24458i) q^{70} +(4.47548 - 5.61208i) q^{71} +(-0.667380 + 2.92398i) q^{72} +(-0.285811 + 1.25222i) q^{73} +(-1.08792 + 1.36421i) q^{74} +(-0.131662 - 0.0563386i) q^{75} +(-4.64394 - 3.70342i) q^{76} +(-17.8505 + 8.59634i) q^{77} +(-0.113032 + 0.0901402i) q^{78} +(-0.931648 + 0.742964i) q^{79} +(-1.77879 - 1.35495i) q^{80} +(-2.00105 + 8.76715i) q^{81} +(-1.06692 + 0.243517i) q^{82} +(3.34828 + 6.95277i) q^{83} +(-0.0524462 + 0.108906i) q^{84} +(0.224639 + 10.1006i) q^{85} -5.47796 q^{86} +(0.131850 - 0.0800371i) q^{87} +4.69464i q^{88} +(-11.8272 + 2.69948i) q^{89} +(-5.33493 - 4.06374i) q^{90} +(19.1926 - 9.24269i) q^{91} +(-7.99318 + 1.82439i) q^{92} +(0.0161214 + 0.00367960i) q^{93} +(0.251745 + 0.121234i) q^{94} +(11.8354 - 6.02742i) q^{95} +(0.0178580 + 0.0223932i) q^{96} +(2.16102 - 1.04069i) q^{97} +(6.74023 - 8.45198i) q^{98} +14.0801i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 8 q^{2} - 4 q^{3} - 8 q^{4} + 8 q^{5} - 3 q^{6} + 7 q^{7} + 8 q^{8} - 8 q^{9} - q^{10} + 10 q^{12} - 10 q^{15} - 8 q^{16} - 30 q^{17} + 8 q^{18} - 13 q^{20} + 7 q^{21} + 7 q^{23} - 3 q^{24} - 12 q^{25}+ \cdots - 27 q^{98}+O(q^{100}) $ 48 * q + 8 * q^2 - 4 * q^3 - 8 * q^4 + 8 * q^5 - 3 * q^6 + 7 * q^7 + 8 * q^8 - 8 * q^9 - q^10 + 10 * q^12 - 10 * q^15 - 8 * q^16 - 30 * q^17 + 8 * q^18 - 13 * q^20 + 7 * q^21 + 7 * q^23 - 3 * q^24 - 12 * q^25 + 21 * q^26 + 11 * q^27 - 10 * q^29 - 18 * q^30 + 14 * q^31 + 8 * q^32 - 14 * q^33 - 33 * q^34 - q^36 - 44 * q^37 - 28 * q^38 - 14 * q^39 - 8 * q^40 + 7 * q^42 - 8 * q^43 + 14 * q^44 + 25 * q^45 - 6 * q^47 - 4 * q^48 + 27 * q^49 + 5 * q^50 + 24 * q^51 + 77 * q^53 + 10 * q^54 - 32 * q^55 + 10 * q^58 - 24 * q^59 + 4 * q^60 + 56 * q^61 - 8 * q^64 - 34 * q^65 + 42 * q^67 - 2 * q^68 + 28 * q^69 - 30 * q^71 + 22 * q^72 - 29 * q^73 + 44 * q^74 - 32 * q^75 - 28 * q^76 - 30 * q^77 + 14 * q^78 + q^80 - 130 * q^81 - 42 * q^82 - 42 * q^84 + 28 * q^85 - 62 * q^86 + 32 * q^87 + 31 * q^90 - 106 * q^91 - 7 * q^92 - 70 * q^93 + 27 * q^94 + 165 * q^95 + 4 * q^96 - 49 * q^97 - 27 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/290\mathbb{Z}\right)^\times$.

$n$	$31$	$117$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.222521	+	0.974928i	0.157346	+	0.689378i
$2$	0.222521	+	0.974928i	0.157346	+	0.689378i
$3$	0.0258055	+	0.0124273i	0.0148988	+	0.00717489i	0.441318	−	0.897351i	$-0.354511\pi$
$3$	0.0258055	+	0.0124273i	0.0148988	+	0.00717489i	−0.426420	+	0.904526i	$0.640225\pi$
$4$	−0.900969	+	0.433884i	−0.450484	+	0.216942i
$5$	−0.0497182	−	2.23552i	−0.0222347	−	0.999753i
$5$	−0.0497182	−	2.23552i	−0.0222347	−	0.999753i
$6$	−0.00637343	+	0.0279238i	−0.00260194	+	0.0113999i
$7$	1.83110	−	3.80231i	0.692089	−	1.43714i	−0.197465	−	0.980310i	$-0.563271\pi$
$7$	1.83110	−	3.80231i	0.692089	−	1.43714i	0.889555	−	0.456829i	$-0.151015\pi$
$8$	−0.623490	−	0.781831i	−0.220437	−	0.276419i
$9$	−1.86996	−	2.34485i	−0.623319	−	0.781618i
$10$	2.16840	−	0.545921i	0.685709	−	0.172635i
$11$	−3.67042	−	2.92706i	−1.10667	−	0.882542i	−0.112859	−	0.993611i	$-0.536001\pi$
$11$	−3.67042	−	2.92706i	−1.10667	−	0.882542i	−0.993813	+	0.111069i	$0.964572\pi$
$12$	−0.0286419			−0.00826822
$13$	3.94639	+	3.14714i	1.09453	+	0.872860i	0.992539	−	0.121925i	$-0.0389068\pi$
$13$	3.94639	+	3.14714i	1.09453	+	0.872860i	0.101993	+	0.994785i	$0.467478\pi$
$14$	4.11444	+	0.939093i	1.09963	+	0.250983i
$15$	0.0264984	−	0.0583064i	0.00684184	−	0.0150547i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	−4.51825			−1.09584			−0.547918	−	0.836532i	$-0.684579\pi$
$17$	−4.51825			−1.09584			−0.547918	+	0.836532i	$0.684579\pi$
$18$	1.86996	−	2.34485i	0.440753	−	0.552687i
$19$	2.57719	+	5.35160i	0.591249	+	1.22774i	0.955100	+	0.296283i	$0.0957473\pi$
$19$	2.57719	+	5.35160i	0.591249	+	1.22774i	−0.363852	+	0.931457i	$0.618538\pi$
$20$	1.01475	+	1.99256i	0.226905	+	0.445549i
$21$	0.0945047	−	0.0753650i	0.0206226	−	0.0164460i
$22$	2.03693	−	4.22972i	0.434274	−	0.901780i
$23$	7.99318	+	1.82439i	1.66669	+	0.380412i	0.948834	−	0.315776i	$-0.102265\pi$
$23$	7.99318	+	1.82439i	1.66669	+	0.380412i	0.717859	+	0.696188i	$0.245122\pi$
$24$	−0.00637343	−	0.0279238i	−0.00130097	−	0.00569993i
$25$	−4.99506	+	0.222292i	−0.999011	+	0.0444583i
$26$	−2.19008	+	4.54775i	−0.429510	+	0.891887i
$27$	−0.0382354	−	0.167520i	−0.00735840	−	0.0322392i
$28$			4.22025i			0.797552i
$29$	2.93508	−	4.51501i	0.545030	−	0.838417i
$29$	2.93508	−	4.51501i	0.545030	−	0.838417i
$30$	0.0627410	+	0.0128596i	0.0114549	+	0.00234783i
$31$	0.562859	−	0.128469i	0.101093	−	0.0230737i	−0.171675	−	0.985154i	$-0.554918\pi$
$31$	0.562859	−	0.128469i	0.101093	−	0.0230737i	0.272768	+	0.962080i	$0.412061\pi$
$32$	0.900969	+	0.433884i	0.159270	+	0.0767005i
$33$	−0.0583415	−	0.121147i	−0.0101560	−	0.0210891i
$34$	−1.00540	−	4.40497i	−0.172425	−	0.755445i
$35$	−8.59116	−	3.90440i	−1.45217	−	0.659964i
$36$	2.70217	+	1.30130i	0.450361	+	0.216883i
$37$	1.08792	+	1.36421i	0.178853	+	0.224274i	0.863174	−	0.504906i	$-0.168473\pi$
$37$	1.08792	+	1.36421i	0.178853	+	0.224274i	−0.684321	+	0.729181i	$0.739901\pi$
$38$	−4.64394	+	3.70342i	−0.753347	+	0.600774i
$39$	0.0627282	+	0.130256i	0.0100445	+	0.0208577i
$40$	−1.71680	+	1.43269i	−0.271449	+	0.226529i
$41$			1.09436i			0.170910i	0.996342	+	0.0854549i	$0.0272344\pi$
$41$			1.09436i			0.170910i	−0.996342	+	0.0854549i	$0.972766\pi$
$42$	0.0945047	+	0.0753650i	0.0145824	+	0.0116291i
$43$	−1.21896	+	5.34061i	−0.185890	+	0.814436i	0.792864	+	0.609398i	$0.208589\pi$
$43$	−1.21896	+	5.34061i	−0.185890	+	0.814436i	−0.978754	+	0.205038i	$0.934268\pi$
$44$	4.57693	+	1.04466i	0.689999	+	0.157488i
$45$	−5.14898	+	4.29690i	−0.767565	+	0.640544i
$46$			8.19874i			1.20884i
$47$	0.174213	−	0.218456i	0.0254115	−	0.0318651i	−0.768963	−	0.639293i	$-0.779227\pi$
$47$	0.174213	−	0.218456i	0.0254115	−	0.0318651i	0.794375	+	0.607428i	$0.207799\pi$
$48$	0.0258055	−	0.0124273i	0.00372470	−	0.00179372i
$49$	−6.74023	−	8.45198i	−0.962890	−	1.20743i
$50$	−1.32822	−	4.82036i	−0.187839	−	0.681701i
$51$	−0.116596	−	0.0561495i	−0.0163267	−	0.00786250i
$52$	−4.92107	−	1.12320i	−0.682429	−	0.155760i
$53$	−0.286566	+	0.0654067i	−0.0393628	+	0.00898431i	−0.242157	−	0.970237i	$-0.577855\pi$
$53$	−0.286566	+	0.0654067i	−0.0393628	+	0.00898431i	0.202794	+	0.979221i	$0.434998\pi$
$54$	0.154812	−	0.0745534i	0.0210672	−	0.0101454i
$55$	−6.36100	+	8.35080i	−0.857717	+	1.12602i
$56$	−4.11444	+	0.939093i	−0.549815	+	0.125492i
$57$			0.170128i			0.0225340i
$58$	5.05493	+	1.85680i	0.663744	+	0.243810i
$59$	11.2646			1.46653			0.733263	−	0.679946i	$-0.237997\pi$
$59$	11.2646			1.46653			0.733263	+	0.679946i	$0.237997\pi$
$60$	0.00142403	+	0.0640295i	0.000183841	+	0.00826617i
$61$	3.48988	−	7.24681i	0.446833	−	0.927859i	−0.548927	−	0.835870i	$-0.684963\pi$
$61$	3.48988	−	7.24681i	0.446833	−	0.927859i	0.995760	−	0.0919885i	$-0.0293223\pi$
$62$	0.250496	+	0.520160i	0.0318130	+	0.0660604i
$63$	−12.3399	+	2.81651i	−1.55469	+	0.354847i
$64$	−0.222521	+	0.974928i	−0.0278151	+	0.121866i
$65$	6.83928	−	8.97869i	0.848308	−	1.11367i
$66$	0.105128	−	0.0838366i	0.0129403	−	0.0103196i
$67$	−0.131849	+	0.105146i	−0.0161079	+	0.0128456i	−0.631511	−	0.775367i	$-0.717565\pi$
$67$	−0.131849	+	0.105146i	−0.0161079	+	0.0128456i	0.615403	+	0.788213i	$0.288993\pi$
$68$	4.07080	−	1.96039i	0.493657	−	0.237733i
$69$	0.183596	+	0.146413i	0.0221023	+	0.0176260i
$70$	1.89480	−	9.24458i	0.226471	−	1.10494i
$71$	4.47548	−	5.61208i	0.531142	−	0.666031i	−0.441791	−	0.897118i	$-0.645657\pi$
$71$	4.47548	−	5.61208i	0.531142	−	0.666031i	0.972933	+	0.231087i	$0.0742282\pi$
$72$	−0.667380	+	2.92398i	−0.0786515	+	0.344595i
$73$	−0.285811	+	1.25222i	−0.0334516	+	0.146561i	−0.988896	−	0.148611i	$-0.952520\pi$
$73$	−0.285811	+	1.25222i	−0.0334516	+	0.146561i	0.955444	+	0.295172i	$0.0953770\pi$
$74$	−1.08792	+	1.36421i	−0.126468	+	0.158586i
$75$	−0.131662	−	0.0563386i	−0.0152031	−	0.00650542i
$76$	−4.64394	−	3.70342i	−0.532697	−	0.424811i
$77$	−17.8505	+	8.59634i	−2.03425	+	0.979643i
$78$	−0.113032	+	0.0901402i	−0.0127984	+	0.0102064i
$79$	−0.931648	+	0.742964i	−0.104819	+	0.0835900i	−0.674497	−	0.738278i	$-0.735639\pi$
$79$	−0.931648	+	0.742964i	−0.104819	+	0.0835900i	0.569678	+	0.821868i	$0.307068\pi$
$80$	−1.77879	−	1.35495i	−0.198875	−	0.151488i
$81$	−2.00105	+	8.76715i	−0.222338	+	0.974128i
$82$	−1.06692	+	0.243517i	−0.117822	+	0.0268920i
$83$	3.34828	+	6.95277i	0.367521	+	0.763166i	0.999934	−	0.0114654i	$-0.00364964\pi$
$83$	3.34828	+	6.95277i	0.367521	+	0.763166i	−0.632413	+	0.774632i	$0.717935\pi$
$84$	−0.0524462	+	0.108906i	−0.00572234	+	0.0118826i
$85$	0.224639	+	10.1006i	0.0243655	+	1.09557i
$86$	−5.47796			−0.590703
$87$	0.131850	−	0.0800371i	0.0141358	−	0.00858088i
$88$			4.69464i			0.500450i
$89$	−11.8272	+	2.69948i	−1.25368	+	0.286144i	−0.797268	−	0.603626i	$-0.793722\pi$
$89$	−11.8272	+	2.69948i	−1.25368	+	0.286144i	−0.456410	+	0.889770i	$0.650865\pi$
$90$	−5.33493	−	4.06374i	−0.562351	−	0.428356i
$91$	19.1926	−	9.24269i	2.01193	−	0.968897i
$92$	−7.99318	+	1.82439i	−0.833347	+	0.190206i
$93$	0.0161214	+	0.00367960i	0.00167171	+	0.000381557i
$94$	0.251745	+	0.121234i	0.0259655	+	0.0125043i
$95$	11.8354	−	6.02742i	1.21429	−	0.618401i
$96$	0.0178580	+	0.0223932i	0.00182262	+	0.00228549i
$97$	2.16102	−	1.04069i	0.219419	−	0.105666i	−0.320946	−	0.947098i	$-0.604001\pi$
$97$	2.16102	−	1.04069i	0.219419	−	0.105666i	0.540364	+	0.841431i	$0.318286\pi$
$98$	6.74023	−	8.45198i	0.680866	−	0.853779i
$99$			14.0801i			1.41510i
$100$	4.40394	−	2.36755i	0.440394	−	0.236755i
$101$	−17.9791	−	4.10362i	−1.78899	−	0.408326i	−0.805991	−	0.591928i	$-0.798367\pi$
$101$	−17.9791	−	4.10362i	−1.78899	−	0.408326i	−0.983001	+	0.183603i	$0.941224\pi$
$102$	0.0287967	−	0.126167i	0.00285130	−	0.0124924i
$103$	10.2233	+	8.15280i	1.00733	+	0.803319i	0.980540	−	0.196322i	$-0.0628997\pi$
$103$	10.2233	+	8.15280i	1.00733	+	0.803319i	0.0267910	+	0.999641i	$0.491471\pi$
$104$		−	5.04762i		−	0.494960i
$105$	−0.173178	−	0.207520i	−0.0169005	−	0.0202518i
$106$	−0.127534	−	0.264827i	−0.0123872	−	0.0257222i
$107$	13.1317	−	10.4722i	1.26949	−	1.01239i	0.270730	−	0.962655i	$-0.412735\pi$
$107$	13.1317	−	10.4722i	1.26949	−	1.01239i	0.998763	−	0.0497310i	$-0.0158364\pi$
$108$	0.107133	+	0.134341i	0.0103089	+	0.0129269i
$109$	1.36216	+	0.655982i	0.130471	+	0.0628316i	0.497981	−	0.867188i	$-0.334075\pi$
$109$	1.36216	+	0.655982i	0.130471	+	0.0628316i	−0.367509	+	0.930020i	$0.619789\pi$
$110$	−9.55688	−	4.34329i	−0.911213	−	0.414116i
$111$	0.0111209	+	0.0487239i	0.00105555	+	0.00462467i
$112$	−1.83110	−	3.80231i	−0.173022	−	0.359285i
$113$	−9.22444	−	4.44226i	−0.867763	−	0.417892i	−0.0536228	−	0.998561i	$-0.517077\pi$
$113$	−9.22444	−	4.44226i	−0.867763	−	0.417892i	−0.814140	+	0.580669i	$0.802791\pi$
$114$	−0.165863	+	0.0378571i	−0.0155345	+	0.00354564i
$115$	3.68105	−	17.9596i	0.343259	−	1.67474i
$116$	−0.685421	+	5.34137i	−0.0636398	+	0.495933i
$117$		−	15.1387i		−	1.39958i
$118$	2.50661	+	10.9822i	0.230752	+	1.01099i
$119$	−8.27335	+	17.1798i	−0.758417	+	1.57487i
$120$	−0.0621073	+	0.0156362i	−0.00566959	+	0.00142739i
$121$	2.45655	+	10.7628i	0.223323	+	0.978440i
$122$	7.84169	+	1.78981i	0.709953	+	0.162042i
$123$	−0.0135999	+	0.0282404i	−0.00122626	+	0.00254635i
$124$	−0.451378	+	0.359962i	−0.0405350	+	0.0323256i
$125$	0.745281	+	11.1555i	0.0666600	+	0.997776i
$126$	−5.49179	−	11.4038i	−0.489247	−	1.01593i
$127$	−3.40250	+	4.26660i	−0.301923	+	0.378599i	−0.909530	−	0.415638i	$-0.863558\pi$
$127$	−3.40250	+	4.26660i	−0.301923	+	0.378599i	0.607607	+	0.794238i	$0.292130\pi$
$128$	−1.00000			−0.0883883
$129$	−0.0978251	+	0.122669i	−0.00861302	+	0.0108004i
$130$	10.2755	+	4.66985i	0.901217	+	0.409573i
$131$	8.72037	+	1.99037i	0.761902	+	0.173899i	0.585781	−	0.810469i	$-0.300788\pi$
$131$	8.72037	+	1.99037i	0.761902	+	0.173899i	0.176121	+	0.984368i	$0.443645\pi$
$132$	0.105128	+	0.0838366i	0.00915020	+	0.00729704i
$133$	25.0675			2.17363
$134$	−0.131849	−	0.105146i	−0.0113900	−	0.00908324i
$135$	−0.372593	+	0.0938045i	−0.0320677	+	0.00807341i
$136$	2.81708	+	3.53251i	0.241563	+	0.302910i
$137$	3.35682	+	4.20931i	0.286792	+	0.359626i	0.904269	−	0.426963i	$-0.140417\pi$
$137$	3.35682	+	4.20931i	0.286792	+	0.359626i	−0.617477	+	0.786589i	$0.711845\pi$
$138$	−0.101888	+	0.211573i	−0.00867328	+	0.0180102i
$139$	1.40756	−	6.16694i	0.119388	−	0.523073i	−0.879499	−	0.475901i	$-0.842122\pi$
$139$	1.40756	−	6.16694i	0.119388	−	0.523073i	0.998887	−	0.0471720i	$-0.0150209\pi$
$140$	9.43443	−	0.209823i	0.797355	−	0.0177333i
$141$	0.00721046	−	0.00347237i	0.000607230	−	0.000292427i
$142$	6.46726	+	3.11447i	0.542720	+	0.261360i
$143$	−5.27303	−	23.1026i	−0.440953	−	1.93194i
$144$	−2.99918			−0.249932
$145$	−10.2393	−	6.33693i	−0.850328	−	0.526253i
$146$	−1.28442			−0.106300
$147$	−0.0688999	−	0.301870i	−0.00568277	−	0.0248978i
$148$	−1.57209	−	0.757079i	−0.129225	−	0.0622315i
$149$	−1.16163	+	0.559413i	−0.0951648	+	0.0458289i	−0.480861	−	0.876797i	$-0.659676\pi$
$149$	−1.16163	+	0.559413i	−0.0951648	+	0.0458289i	0.385696	+	0.922626i	$0.373961\pi$
$150$	0.0256284	−	0.140898i	0.00209255	−	0.0115043i
$151$	−3.68900	+	16.1626i	−0.300207	+	1.31529i	0.569609	+	0.821916i	$0.307095\pi$
$151$	−3.68900	+	16.1626i	−0.300207	+	1.31529i	−0.869816	+	0.493377i	$0.835762\pi$
$152$	2.57719	−	5.35160i	0.209038	−	0.434072i
$153$	8.44893	+	10.5946i	0.683056	+	0.856525i
$154$	−12.3529	−	15.4901i	−0.995426	−	1.24822i
$155$	−0.315179	−	1.25189i	−0.0253158	−	0.100555i
$156$	−0.113032	−	0.0901402i	−0.00904983	−	0.00721699i
$157$	22.1101			1.76457			0.882287	−	0.470712i	$-0.156003\pi$
$157$	22.1101			1.76457			0.882287	+	0.470712i	$0.156003\pi$
$158$	−0.931648	−	0.742964i	−0.0741179	−	0.0591071i
$159$	−0.00820780	−	0.00187338i	−0.000650921	−	0.000148568i
$160$	0.925159	−	2.03570i	0.0731403	−	0.160936i
$161$	21.5732	−	27.0519i	1.70021	−	2.13199i
$162$	−8.99262			−0.706527
$163$	3.29063	−	4.12632i	0.257742	−	0.323198i	−0.636077	−	0.771625i	$-0.719444\pi$
$163$	3.29063	−	4.12632i	0.257742	−	0.323198i	0.893820	+	0.448427i	$0.148016\pi$
$164$	−0.474824	−	0.985982i	−0.0370775	−	0.0769922i
$165$	−0.267926	+	0.136447i	−0.0208580	+	0.0106224i
$166$	−6.03339	+	4.81147i	−0.468282	+	0.373442i
$167$	−0.226105	+	0.469513i	−0.0174966	+	0.0363320i	−0.909534	−	0.415630i	$-0.863561\pi$
$167$	−0.226105	+	0.469513i	−0.0174966	+	0.0363320i	0.892037	+	0.451962i	$0.149276\pi$
$168$	−0.117845	−	0.0268975i	−0.00909197	−	0.00207518i
$169$	2.77673	+	12.1656i	0.213594	+	0.935818i
$170$	−9.79738	+	2.46660i	−0.751425	+	0.189180i
$171$	7.72946	−	16.0504i	0.591087	−	1.22740i
$172$	−1.21896	−	5.34061i	−0.0929448	−	0.407218i
$173$			5.63757i			0.428617i	0.976766	+	0.214308i	$0.0687497\pi$
$173$			5.63757i			0.428617i	−0.976766	+	0.214308i	$0.931250\pi$
$174$	0.107370	+	0.110735i	0.00813969	+	0.00839477i
$175$	−8.30121	+	19.3998i	−0.627512	+	1.46649i
$176$	−4.57693	+	1.04466i	−0.344999	+	0.0787439i
$177$	0.290688	+	0.139988i	0.0218495	+	0.0105222i
$178$	−5.26359	−	10.9300i	−0.394523	−	0.819235i
$179$	0.147462	+	0.646073i	0.0110218	+	0.0482898i	0.980140	−	0.198308i	$-0.0635446\pi$
$179$	0.147462	+	0.646073i	0.0110218	+	0.0482898i	−0.969118	+	0.246598i	$0.920687\pi$
$180$	2.77472	−	6.10543i	0.206815	−	0.455072i
$181$	5.58559	+	2.68988i	0.415173	+	0.199937i	0.629797	−	0.776760i	$-0.283138\pi$
$181$	5.58559	+	2.68988i	0.415173	+	0.199937i	−0.214623	+	0.976697i	$0.568852\pi$
$182$	13.2817	+	16.6547i	0.984506	+	1.23453i
$183$	0.180116	−	0.143638i	0.0133146	−	0.0106180i
$184$	−3.55730	−	7.38681i	−0.262248	−	0.544563i
$185$	2.99562	−	2.49989i	0.220242	−	0.183795i
$186$			0.0165360i			0.00121248i
$187$	16.5838	+	13.2252i	1.21273	+	0.967121i
$188$	−0.0621758	+	0.272410i	−0.00453464	+	0.0198675i
$189$	−0.706976	−	0.161363i	−0.0514249	−	0.0117374i
$190$	8.50994	+	10.1975i	0.617376	+	0.739802i
$191$			16.2687i			1.17716i	0.808439	+	0.588581i	$0.200313\pi$
$191$			16.2687i			1.17716i	−0.808439	+	0.588581i	$0.799687\pi$
$192$	−0.0178580	+	0.0223932i	−0.00128879	+	0.00161609i
$193$	−14.3646	+	6.91762i	−1.03399	+	0.497941i	−0.872336	−	0.488907i	$-0.837396\pi$
$193$	−14.3646	+	6.91762i	−1.03399	+	0.497941i	−0.161649	+	0.986848i	$0.551681\pi$
$194$	1.49547	+	1.87527i	0.107369	+	0.134636i
$195$	0.288071	−	0.146706i	0.0206292	−	0.0105058i
$196$	9.73991	+	4.69049i	0.695708	+	0.335035i
$197$	−23.5434	−	5.37362i	−1.67740	−	0.382855i	−0.725247	−	0.688488i	$-0.758275\pi$
$197$	−23.5434	−	5.37362i	−1.67740	−	0.382855i	−0.952149	+	0.305634i	$0.901132\pi$
$198$	−13.7270	+	3.13311i	−0.975539	+	0.222660i
$199$	−5.47543	+	2.63683i	−0.388143	+	0.186920i	−0.617770	−	0.786359i	$-0.711964\pi$
$199$	−5.47543	+	2.63683i	−0.388143	+	0.186920i	0.229627	+	0.973279i	$0.426249\pi$
$200$	3.28816	+	3.76670i	0.232508	+	0.266346i
$201$	−0.00470911	+	0.00107482i	−0.000332155	+	7.58122e-5i
$202$		−	18.4415i		−	1.29754i
$203$	−11.7931	−	19.4275i	−0.827712	−	1.36354i
$204$	0.129411			0.00906061
$205$	2.44645	−	0.0544095i	0.170868	−	0.00380012i
$206$	−5.67350	+	11.7811i	−0.395291	+	0.820831i
$207$	−10.6690	−	22.1544i	−0.741545	−	1.53983i
$208$	4.92107	−	1.12320i	0.341215	−	0.0778800i
$209$	6.20507	−	27.1862i	0.429214	−	1.88051i
$210$	0.163781	−	0.215014i	0.0113020	−	0.0148374i
$211$	−0.781807	+	0.623470i	−0.0538218	+	0.0429215i	−0.650031	−	0.759907i	$-0.725244\pi$
$211$	−0.781807	+	0.623470i	−0.0538218	+	0.0429215i	0.596209	+	0.802829i	$0.296673\pi$
$212$	0.229808	−	0.183266i	0.0157833	−	0.0125867i
$213$	0.185235	−	0.0892044i	0.0126921	−	0.00611218i
$214$	13.1317	+	10.4722i	0.897667	+	0.715865i
$215$	11.9996	+	2.45948i	0.818367	+	0.167735i
$216$	−0.107133	+	0.134341i	−0.00728948	+	0.00914072i
$217$	0.542171	−	2.37541i	0.0368050	−	0.161253i
$218$	−0.336426	+	1.47398i	−0.0227856	+	0.0998303i
$219$	−0.0229372	+	0.0287623i	−0.00154995	+	0.00194358i
$220$	2.10779	−	10.2837i	0.142107	−	0.693330i
$221$	−17.8308	−	14.2196i	−1.19943	−	0.956511i
$222$	−0.0450277	+	0.0216842i	−0.00302206	+	0.00145535i
$223$	6.25248	−	4.98619i	0.418697	−	0.333900i	−0.391374	−	0.920232i	$-0.628000\pi$
$223$	6.25248	−	4.98619i	0.418697	−	0.333900i	0.810071	+	0.586332i	$0.199429\pi$
$224$	3.29952	−	2.63128i	0.220459	−	0.175810i
$225$	9.86179	+	11.2970i	0.657452	+	0.753133i
$226$	2.27825	−	9.98166i	0.151547	−	0.663970i
$227$	−13.5075	+	3.08299i	−0.896523	+	0.204626i	−0.645866	−	0.763450i	$-0.723504\pi$
$227$	−13.5075	+	3.08299i	−0.896523	+	0.204626i	−0.250657	+	0.968076i	$0.580647\pi$
$228$	−0.0738158	−	0.153280i	−0.00488857	−	0.0101512i
$229$	−1.11598	+	2.31735i	−0.0737458	+	0.153135i	−0.934582	−	0.355747i	$-0.884227\pi$
$229$	−1.11598	+	2.31735i	−0.0737458	+	0.153135i	0.860837	+	0.508881i	$0.169941\pi$
$230$	18.3284	−	0.407627i	1.20854	−	0.0268781i
$231$	−0.567469			−0.0373367
$232$	−5.35997	+	0.520329i	−0.351899	+	0.0341613i
$233$			12.8204i			0.839893i	0.907549	+	0.419946i	$0.137951\pi$
$233$			12.8204i			0.839893i	−0.907549	+	0.419946i	$0.862049\pi$
$234$	14.7592	−	3.36868i	0.964837	−	0.220218i
$235$	−0.497023	−	0.378594i	−0.0324222	−	0.0246968i
$236$	−10.1490	+	4.88752i	−0.660647	+	0.318151i
$237$	−0.0332747	+	0.00759472i	−0.00216142	+	0.000493330i
$238$	−18.5900	−	4.24306i	−1.20501	−	0.275036i
$239$	−26.4676	−	12.7461i	−1.71204	−	0.824477i	−0.991353	−	0.131219i	$-0.958111\pi$
$239$	−26.4676	−	12.7461i	−1.71204	−	0.824477i	−0.720690	−	0.693257i	$-0.756175\pi$
$240$	−0.0290644	−	0.0570707i	−0.00187610	−	0.00368390i
$241$	−7.32671	−	9.18740i	−0.471955	−	0.591813i	0.487694	−	0.873015i	$-0.337838\pi$
$241$	−7.32671	−	9.18740i	−0.471955	−	0.591813i	−0.959649	+	0.281202i	$0.909267\pi$
$242$	−9.94636	+	4.78992i	−0.639376	+	0.307907i
$243$	−0.481989	+	0.604395i	−0.0309196	+	0.0387720i
$244$			8.04335i			0.514923i
$245$	−18.5594	+	15.4881i	−1.18572	+	0.989498i
$246$	−0.0305586	−	0.00697481i	−0.00194835	−	0.000444698i
$247$	−6.67162	+	29.2303i	−0.424505	+	1.85988i
$248$	−0.451378	−	0.359962i	−0.0286625	−	0.0228576i
$249$			0.221030i			0.0140072i
$250$	−10.7099	+	3.20892i	−0.677356	+	0.202950i
$251$	−1.76149	−	3.65777i	−0.111184	−	0.230876i	0.837951	−	0.545746i	$-0.183754\pi$
$251$	−1.76149	−	3.65777i	−0.111184	−	0.230876i	−0.949135	+	0.314869i	$0.898039\pi$
$252$	9.89586	−	7.89168i	0.623381	−	0.497129i
$253$	−23.9982	−	30.0928i	−1.50875	−	1.89192i
$254$	−4.91675	−	2.36778i	−0.308505	−	0.148568i
$255$	−0.119726	+	0.263443i	−0.00749754	+	0.0164974i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$	5.78607	+	12.0149i	0.360925	+	0.749469i	0.999803	−	0.0198393i	$-0.00631547\pi$
$257$	5.78607	+	12.0149i	0.360925	+	0.749469i	−0.638878	+	0.769308i	$0.720601\pi$
$258$	−0.141361	−	0.0680760i	−0.00880077	−	0.00423823i
$259$	7.17923	−	1.63861i	0.446096	−	0.101818i
$260$	−2.26627	+	11.0570i	−0.140548	+	0.685724i
$261$	−16.0755	+	1.56056i	−0.995049	+	0.0965963i
$262$			8.94463i			0.552601i
$263$	3.41020	+	14.9411i	0.210282	+	0.921305i	0.964375	+	0.264538i	$0.0852195\pi$
$263$	3.41020	+	14.9411i	0.210282	+	0.921305i	−0.754093	+	0.656767i	$0.771923\pi$
$264$	−0.0583415	+	0.121147i	−0.00359067	+	0.00745611i
$265$	0.160465	+	0.637370i	0.00985731	+	0.0391533i
$266$	5.57805	+	24.4390i	0.342012	+	1.49845i
$267$	−0.338753	−	0.0773182i	−0.0207314	−	0.00473180i
$268$	0.0731707	−	0.151940i	0.00446961	−	0.00928124i
$269$	0.227776	−	0.181646i	0.0138878	−	0.0110751i	−0.616521	−	0.787338i	$-0.711459\pi$
$269$	0.227776	−	0.181646i	0.0138878	−	0.0110751i	0.630409	+	0.776263i	$0.282887\pi$
$270$	−0.174362	−	0.342377i	−0.0106114	−	0.0208364i
$271$	−7.93925	−	16.4860i	−0.482275	−	1.00145i	−0.990148	−	0.140023i	$-0.955282\pi$
$271$	−7.93925	−	16.4860i	−0.482275	−	1.00145i	0.507873	−	0.861432i	$-0.330432\pi$
$272$	−2.81708	+	3.53251i	−0.170811	+	0.214190i
$273$	0.610137			0.0369272
$274$	−3.35682	+	4.20931i	−0.202793	+	0.254294i
$275$	18.9846	+	13.8049i	1.14481	+	0.832468i
$276$	−0.228940	−	0.0522541i	−0.0137806	−	0.00314533i
$277$	−3.70808	−	2.95709i	−0.222797	−	0.177675i	0.505730	−	0.862692i	$-0.331223\pi$
$277$	−3.70808	−	2.95709i	−0.222797	−	0.177675i	−0.728527	+	0.685017i	$0.759795\pi$
$278$	6.32554			0.379381
$279$	−1.35376	−	1.07959i	−0.0810478	−	0.0646334i
$280$	2.30392	+	9.15120i	0.137686	+	0.546889i
$281$	8.84793	+	11.0950i	0.527823	+	0.661870i	0.972250	−	0.233946i	$-0.0751638\pi$
$281$	8.84793	+	11.0950i	0.527823	+	0.661870i	−0.444426	+	0.895815i	$0.646592\pi$
$282$	0.00498979	+	0.00625700i	0.000297138	+	0.000372599i
$283$	−1.09309	+	2.26982i	−0.0649772	+	0.134927i	−0.930928	−	0.365202i	$-0.881000\pi$
$283$	−1.09309	+	2.26982i	−0.0649772	+	0.134927i	0.865951	+	0.500129i	$0.166714\pi$
$284$	−1.59728	+	6.99814i	−0.0947812	+	0.415263i
$285$	0.380324	−	0.00845846i	0.0225284	−	0.000501036i
$286$	21.3500	−	10.2816i	1.26245	−	0.607966i
$287$	4.16109	+	2.00387i	0.245621	+	0.118285i
$288$	−0.667380	−	2.92398i	−0.0393258	−	0.172297i
$289$	3.41456			0.200856
$290$	3.89959	−	11.3927i	0.228992	−	0.669001i
$291$	0.0686992			0.00402722
$292$	−0.285811	−	1.25222i	−0.0167258	−	0.0732806i
$293$	11.8928	+	5.72728i	0.694786	+	0.334591i	0.747727	−	0.664006i	$-0.231145\pi$
$293$	11.8928	+	5.72728i	0.694786	+	0.334591i	−0.0529409	+	0.998598i	$0.516859\pi$
$294$	0.278970	−	0.134345i	0.0162699	−	0.00783515i
$295$	−0.560055	−	25.1822i	−0.0326077	−	1.46616i
$296$	0.388274	−	1.70114i	0.0225680	−	0.0988768i
$297$	−0.350001	+	0.726785i	−0.0203091	+	0.0421724i
$298$	−0.803876	−	1.00803i	−0.0465673	−	0.0583935i
$299$	25.8026	+	32.3554i	1.49220	+	1.87116i
$300$	0.143068	−	0.00636686i	0.00826004	−	0.000367591i
$301$	18.0746	+	14.4140i	1.04180	+	0.830811i
$302$	−16.5782			−0.953970
$303$	−0.412964	−	0.329328i	−0.0237241	−	0.0189194i
$304$	5.79090	+	1.32173i	0.332131	+	0.0758067i
$305$	−16.3739	−	7.44138i	−0.937565	−	0.426092i
$306$	−8.44893	+	10.5946i	−0.482993	+	0.605654i
$307$	−19.2517			−1.09875			−0.549376	−	0.835575i	$-0.685135\pi$
$307$	−19.2517			−1.09875			−0.549376	+	0.835575i	$0.685135\pi$
$308$	12.3529	−	15.4901i	0.703873	−	0.882628i
$309$	0.162500	+	0.337435i	0.00924430	+	0.0191960i
$310$	1.15037	−	0.585849i	0.0653368	−	0.0332740i
$311$	11.6943	−	9.32588i	0.663122	−	0.528822i	−0.233086	−	0.972456i	$-0.574882\pi$
$311$	11.6943	−	9.32588i	0.663122	−	0.528822i	0.896208	+	0.443634i	$0.146311\pi$
$312$	0.0627282	−	0.130256i	0.00355128	−	0.00737432i
$313$	−21.5388	−	4.91608i	−1.21744	−	0.277873i	−0.434905	−	0.900477i	$-0.643218\pi$
$313$	−21.5388	−	4.91608i	−1.21744	−	0.277873i	−0.782538	+	0.622603i	$0.786075\pi$
$314$	4.91995	+	21.5557i	0.277649	+	1.21646i
$315$	6.90987	+	27.4461i	0.389327	+	1.54641i
$316$	0.517026	−	1.07361i	0.0290850	−	0.0603956i
$317$	5.90177	+	25.8573i	0.331476	+	1.45229i	0.816273	+	0.577666i	$0.196036\pi$
$317$	5.90177	+	25.8573i	0.331476	+	1.45229i	−0.484797	+	0.874627i	$0.661107\pi$
$318$		−	0.00841888i		−	0.000472107i
$319$	−23.9887	+	7.98083i	−1.34311	+	0.446841i
$320$	2.19053	+	0.448977i	0.122454	+	0.0250986i
$321$	0.469012	−	0.107049i	0.0261777	−	0.00597489i
$322$	31.1742	+	15.0127i	1.73727	+	0.836624i
$323$	−11.6444	−	24.1798i	−0.647911	−	1.34540i
$324$	−2.00105	−	8.76715i	−0.111169	−	0.487064i
$325$	−20.4120	−	14.8429i	−1.13226	−	0.823336i
$326$	4.75510	+	2.28994i	0.263361	+	0.126828i
$327$	0.0269991	+	0.0338559i	0.00149306	+	0.00187223i
$328$	0.855603	−	0.682321i	0.0472428	−	0.0376749i
$329$	−0.511637	−	1.06243i	−0.0282075	−	0.0585734i
$330$	−0.192645	−	0.230847i	−0.0106048	−	0.0127077i
$331$			2.24224i			0.123244i	0.998100	+	0.0616222i	$0.0196274\pi$
$331$			2.24224i			0.123244i	−0.998100	+	0.0616222i	$0.980373\pi$
$332$	−6.03339	−	4.81147i	−0.331125	−	0.264064i
$333$	1.16450	−	5.10202i	0.0638144	−	0.279589i
$334$	−0.508054	−	0.115960i	−0.0277995	−	0.00634505i
$335$	0.241611	+	0.289523i	0.0132006	+	0.0158183i
$336$		−	0.120876i		−	0.00659433i
$337$	20.4258	−	25.6132i	1.11267	−	1.39524i	0.203363	−	0.979103i	$-0.434813\pi$
$337$	20.4258	−	25.6132i	1.11267	−	1.39524i	0.909303	−	0.416136i	$-0.136616\pi$
$338$	−11.2427	+	5.41422i	−0.611524	+	0.294495i
$339$	−0.182836	−	0.229269i	−0.00993030	−	0.0124522i
$340$	−4.58488	−	9.00287i	−0.248650	−	0.488249i
$341$	−2.44196	−	1.17599i	−0.132240	−	0.0636833i
$342$	17.3679	+	3.96412i	0.939151	+	0.214355i
$343$	−15.6780	+	3.57840i	−0.846533	+	0.193216i
$344$	4.93547	−	2.37680i	0.266103	−	0.128148i
$345$	0.318180	−	0.417710i	0.0171302	−	0.0224888i
$346$	−5.49623	+	1.25448i	−0.295479	+	0.0674411i
$347$			24.8447i			1.33373i	0.745178	+	0.666866i	$0.232365\pi$
$347$			24.8447i			1.33373i	−0.745178	+	0.666866i	$0.767635\pi$
$348$	−0.0840663	+	0.129319i	−0.00450642	+	0.00693221i
$349$	24.0137			1.28542			0.642711	−	0.766109i	$-0.277810\pi$
$349$	24.0137			1.28542			0.642711	+	0.766109i	$0.277810\pi$
$350$	−20.7606	−	3.77622i	−1.10970	−	0.201847i
$351$	0.376318	−	0.781432i	0.0200863	−	0.0417097i
$352$	−2.03693	−	4.22972i	−0.108569	−	0.225445i
$353$	−19.4037	+	4.42876i	−1.03275	+	0.235719i	−0.705122	−	0.709086i	$-0.749108\pi$
$353$	−19.4037	+	4.42876i	−1.03275	+	0.235719i	−0.327632	+	0.944805i	$0.606251\pi$
$354$	−0.0717941	+	0.314551i	−0.00381581	+	0.0167182i
$355$	−12.7684	−	9.72598i	−0.677676	−	0.516202i
$356$	9.48466	−	7.56376i	0.502686	−	0.400879i
$357$	−0.426996	+	0.340518i	−0.0225990	+	0.0180221i
$358$	−0.597061	+	0.287530i	−0.0315557	+	0.0151964i
$359$	−18.4628	−	14.7236i	−0.974430	−	0.777082i	0.000407213	−	1.00000i	$-0.499870\pi$
$359$	−18.4628	−	14.7236i	−0.974430	−	0.777082i	−0.974837	+	0.222918i	$0.928442\pi$
$360$	6.56979	+	1.34656i	0.346258	+	0.0709701i
$361$	−10.1513	+	12.7294i	−0.534281	+	0.669968i
$362$	−1.37953	+	6.04410i	−0.0725063	+	0.317671i
$363$	−0.0703603	+	0.308269i	−0.00369296	+	0.0161799i
$364$	−13.2817	+	16.6547i	−0.696151	+	0.872946i
$365$	2.81357	+	0.576677i	0.147269	+	0.0301846i
$366$	0.180116	+	0.143638i	0.00941482	+	0.00750807i
$367$	8.33624	−	4.01452i	0.435148	−	0.209556i	−0.203468	−	0.979082i	$-0.565221\pi$
$367$	8.33624	−	4.01452i	0.435148	−	0.209556i	0.638616	+	0.769525i	$0.279507\pi$
$368$	6.41003	−	5.11183i	0.334146	−	0.266473i
$369$	2.56611	−	2.04640i	0.133586	−	0.106531i
$370$	3.10380	+	2.36424i	0.161359	+	0.122911i
$371$	−0.276033	+	1.20938i	−0.0143309	+	0.0627878i
$372$	−0.0161214	+	0.00367960i	−0.000835855	+	0.000190778i
$373$	−15.7365	−	32.6772i	−0.814806	−	1.69196i	−0.717341	−	0.696723i	$-0.754641\pi$
$373$	−15.7365	−	32.6772i	−0.814806	−	1.69196i	−0.0974652	−	0.995239i	$-0.531073\pi$
$374$	−9.20334	+	19.1109i	−0.475893	+	0.988203i
$375$	−0.119400	+	0.297134i	−0.00616578	+	0.0153439i
$376$	−0.279416			−0.0144098
$377$	25.7923	−	8.58090i	1.32837	−	0.441939i
$378$		−	0.725157i		−	0.0372981i
$379$	12.0932	−	2.76019i	0.621184	−	0.141781i	0.0996655	−	0.995021i	$-0.468223\pi$
$379$	12.0932	−	2.76019i	0.621184	−	0.141781i	0.521519	+	0.853240i	$0.325366\pi$
$380$	−8.04816	+	10.5657i	−0.412862	+	0.542010i
$381$	−0.140825	+	0.0678179i	−0.00721470	+	0.00347442i
$382$	−15.8608	+	3.62012i	−0.811509	+	0.185222i
$383$	−6.36907	−	1.45370i	−0.325444	−	0.0742806i	0.0566773	−	0.998393i	$-0.481949\pi$
$383$	−6.36907	−	1.45370i	−0.325444	−	0.0742806i	−0.382122	+	0.924112i	$0.624807\pi$
$384$	−0.0258055	−	0.0124273i	−0.00131688	−	0.000634177i
$385$	20.1047	+	39.4776i	1.02463	+	2.01197i
$386$	−9.94060	−	12.4651i	−0.505963	−	0.634458i
$387$	14.8024	−	7.12844i	0.752446	−	0.362359i
$388$	−1.49547	+	1.87527i	−0.0759212	+	0.0952022i
$389$		−	33.7770i		−	1.71256i	−0.516512	−	0.856280i	$-0.672770\pi$
$389$		−	33.7770i		−	1.71256i	0.516512	−	0.856280i	$-0.327230\pi$
$390$	0.207130	+	0.248204i	0.0104884	+	0.0125683i
$391$	−36.1152	−	8.24305i	−1.82642	−	0.416869i
$392$	−2.40556	+	10.5394i	−0.121499	+	0.532322i
$393$	0.200299	+	0.159733i	0.0101037	+	0.00805746i
$394$		−	24.1488i		−	1.21660i
$395$	1.70723	+	2.04577i	0.0859000	+	0.102934i
$396$	−6.10911	−	12.6857i	−0.306994	−	0.637480i
$397$	18.3183	−	14.6083i	0.919368	−	0.733172i	−0.0446515	−	0.999003i	$-0.514218\pi$
$397$	18.3183	−	14.6083i	0.919368	−	0.733172i	0.964020	+	0.265831i	$0.0856463\pi$
$398$	−3.78912	−	4.75140i	−0.189931	−	0.238166i
$399$	0.646880	+	0.311521i	0.0323845	+	0.0155956i
$400$	−2.94057	+	4.04389i	−0.147029	+	0.202194i
$401$	2.29997	+	10.0768i	0.114855	+	0.503212i	0.999329	+	0.0366231i	$0.0116601\pi$
$401$	2.29997	+	10.0768i	0.114855	+	0.503212i	−0.884474	+	0.466589i	$0.845483\pi$
$402$	−0.00209575	−	0.00435187i	−0.000104526	−	0.000217051i
$403$	2.62557	+	1.26441i	0.130789	+	0.0629847i
$404$	17.9791	−	4.10362i	0.894496	−	0.204163i
$405$	19.6986	+	4.03748i	0.978831	+	0.200624i
$406$	16.3162	−	15.8204i	0.809759	−	0.785154i
$407$		−	8.19162i		−	0.406043i
$408$	0.0287967	+	0.126167i	0.00142565	+	0.00624618i
$409$	13.4266	−	27.8806i	0.663903	−	1.37861i	−0.248225	−	0.968702i	$-0.579847\pi$
$409$	13.4266	−	27.8806i	0.663903	−	1.37861i	0.912128	−	0.409906i	$-0.134438\pi$
$410$	0.597432	+	2.37301i	0.0295051	+	0.117194i
$411$	0.0343140	+	0.150340i	0.00169259	+	0.00741570i
$412$	−12.7482	−	2.90970i	−0.628060	−	0.143351i
$413$	20.6266	−	42.8315i	1.01497	−	2.10760i
$414$	19.2248	−	15.3313i	0.944849	−	0.753492i
$415$	15.3766	−	7.83081i	0.754806	−	0.384399i
$416$	2.19008	+	4.54775i	0.107378	+	0.222972i
$417$	0.112961	−	0.141649i	0.00553173	−	0.00693657i
$418$	27.8853			1.36392
$419$	3.12461	−	3.91813i	0.152647	−	0.191413i	−0.699628	−	0.714507i	$-0.746651\pi$
$419$	3.12461	−	3.91813i	0.152647	−	0.191413i	0.852275	+	0.523094i	$0.175222\pi$
$420$	0.246068	+	0.111830i	0.0120069	+	0.00545673i
$421$	10.0552	+	2.29503i	0.490060	+	0.111853i	0.460408	−	0.887707i	$-0.347703\pi$
$421$	10.0552	+	2.29503i	0.490060	+	0.111853i	0.0296519	+	0.999560i	$0.490560\pi$
$422$	−0.781807	−	0.623470i	−0.0380578	−	0.0303501i
$423$	−0.838018			−0.0407458
$424$	0.229808	+	0.183266i	0.0111605	+	0.00890017i
$425$	22.5689	−	1.00437i	1.09475	−	0.0487190i
$426$	0.128186	+	0.160741i	0.00621065	+	0.00778791i
$427$	−21.1643	−	26.5392i	−1.02421	−	1.28432i
$428$	−7.28756	+	15.1328i	−0.352258	+	0.731470i
$429$	0.151030	−	0.661704i	0.00729178	−	0.0319474i
$430$	0.272354	+	12.2461i	0.0131341	+	0.590557i
$431$	−17.4414	+	8.39934i	−0.840124	+	0.404582i	−0.803902	−	0.594762i	$-0.797246\pi$
$431$	−17.4414	+	8.39934i	−0.840124	+	0.404582i	−0.0362214	+	0.999344i	$0.511532\pi$
$432$	−0.154812	−	0.0745534i	−0.00744839	−	0.00358695i
$433$	4.23403	+	18.5505i	0.203475	+	0.891481i	0.968801	+	0.247839i	$0.0797203\pi$
$433$	4.23403	+	18.5505i	0.203475	+	0.891481i	−0.765327	+	0.643642i	$0.777423\pi$
$434$	2.43649			0.116955
$435$	−0.185480	−	0.290774i	−0.00889307	−	0.0139416i
$436$	−1.51188			−0.0724061
$437$	10.8366	+	47.4781i	0.518383	+	2.27118i
$438$	−0.0331452	−	0.0159619i	−0.00158374	−	0.000762688i
$439$	4.74912	−	2.28706i	0.226663	−	0.109155i	−0.317106	−	0.948390i	$-0.602711\pi$
$439$	4.74912	−	2.28706i	0.226663	−	0.109155i	0.543769	+	0.839235i	$0.316997\pi$
$440$	10.4949	−	0.233409i	0.500326	−	0.0111273i
$441$	−7.21470	+	31.6097i	−0.343557	+	1.50522i
$442$	9.89533	−	20.5479i	0.470673	−	0.977362i
$443$	10.6487	+	13.3531i	0.505936	+	0.634424i	0.967557	−	0.252654i	$-0.0813034\pi$
$443$	10.6487	+	13.3531i	0.505936	+	0.634424i	−0.461621	+	0.887077i	$0.652732\pi$
$444$	−0.0311601	−	0.0390736i	−0.00147879	−	0.00185435i
$445$	6.62274	+	26.3056i	0.313948	+	1.24701i
$446$	6.25248	+	4.98619i	0.296064	+	0.236103i
$447$	−0.0369285			−0.00174666
$448$	3.29952	+	2.63128i	0.155888	+	0.124316i
$449$	2.81862	+	0.643332i	0.133019	+	0.0303607i	0.288512	−	0.957476i	$-0.406839\pi$
$449$	2.81862	+	0.643332i	0.133019	+	0.0303607i	−0.155493	+	0.987837i	$0.549697\pi$
$450$	−8.81930	+	12.1283i	−0.415746	+	0.571736i
$451$	3.20325	−	4.01675i	0.150835	−	0.189141i
$452$	10.2384			0.481572
$453$	−0.296053	+	0.371239i	−0.0139098	+	0.0174423i
$454$	−6.01140	−	12.4828i	−0.282129	−	0.585846i
$455$	−21.6164	−	42.4459i	−1.01339	−	1.98989i
$456$	0.133011	−	0.106073i	0.00622883	−	0.00496733i
$457$	−11.9407	+	24.7952i	−0.558564	+	1.15987i	0.410226	+	0.911984i	$0.365450\pi$
$457$	−11.9407	+	24.7952i	−0.558564	+	1.15987i	−0.968789	+	0.247885i	$0.920264\pi$
$458$	−2.50758	−	0.572338i	−0.117171	−	0.0267436i
$459$	0.172757	+	0.756897i	0.00806360	+	0.0353289i
$460$	4.47586	+	17.7782i	0.208688	+	0.828911i
$461$	4.67431	−	9.70630i	0.217704	−	0.452067i	−0.763303	−	0.646041i	$-0.776423\pi$
$461$	4.67431	−	9.70630i	0.217704	−	0.452067i	0.981007	+	0.193974i	$0.0621377\pi$
$462$	−0.126274	−	0.553242i	−0.00587479	−	0.0257391i
$463$			5.37218i			0.249666i	0.992178	+	0.124833i	$0.0398395\pi$
$463$			5.37218i			0.249666i	−0.992178	+	0.124833i	$0.960160\pi$
$464$	−1.69999	−	5.10980i	−0.0789200	−	0.237216i
$465$	0.00742428	−	0.0362225i	0.000344293	−	0.00167978i
$466$	−12.4990	+	2.85281i	−0.579004	+	0.132154i
$467$	11.6505	+	5.61058i	0.539120	+	0.259626i	0.683569	−	0.729886i	$-0.260427\pi$
$467$	11.6505	+	5.61058i	0.539120	+	0.259626i	−0.144449	+	0.989512i	$0.546141\pi$
$468$	6.56845	+	13.6395i	0.303627	+	0.630487i
$469$	0.158370	+	0.693863i	0.00731284	+	0.0320396i
$470$	0.258504	−	0.568807i	0.0119239	−	0.0262371i
$471$	0.570561	+	0.274768i	0.0262901	+	0.0126606i
$472$	−7.02336	−	8.80701i	−0.323276	−	0.405376i
$473$	20.1064	−	16.0343i	0.924492	−	0.737258i
$474$	−0.0148086	−	0.0307504i	−0.000680182	−	0.00141241i
$475$	−14.0628	−	26.1586i	−0.645247	−	1.20024i
$476$		−	19.0681i		−	0.873986i
$477$	0.689235	+	0.549647i	0.0315579	+	0.0251666i
$478$	6.53695	−	28.6402i	0.298993	−	1.30997i
$479$	1.43522	+	0.327579i	0.0655767	+	0.0149674i	0.255183	−	0.966893i	$-0.417864\pi$
$479$	1.43522	+	0.327579i	0.0655767	+	0.0149674i	−0.189607	+	0.981860i	$0.560721\pi$
$480$	0.0491724	−	0.0410351i	0.00224440	−	0.00187299i
$481$			8.80754i			0.401589i
$482$	7.32671	−	9.18740i	0.333722	−	0.418475i
$483$	0.892888	−	0.429992i	0.0406278	−	0.0195653i
$484$	−6.88310	−	8.63113i	−0.312868	−	0.392324i
$485$	−2.43393	−	4.77926i	−0.110519	−	0.217015i
$486$	−0.696494	−	0.335414i	−0.0315936	−	0.0152147i
$487$	−26.1653	−	5.97205i	−1.18566	−	0.270620i	−0.416177	−	0.909284i	$-0.636630\pi$
$487$	−26.1653	−	5.97205i	−1.18566	−	0.270620i	−0.769486	+	0.638664i	$0.779487\pi$
$488$	−7.84169	+	1.78981i	−0.354977	+	0.0810211i
$489$	0.136195	−	0.0655882i	0.00615896	−	0.00296600i
$490$	−19.2296	−	14.6477i	−0.868706	−	0.661714i
$491$	−10.7473	+	2.45300i	−0.485019	+	0.110702i	−0.458036	−	0.888933i	$-0.651447\pi$
$491$	−10.7473	+	2.45300i	−0.485019	+	0.110702i	−0.0269827	+	0.999636i	$0.508590\pi$
$492$		−	0.0313445i		−	0.00141312i
$493$	−13.2614	+	20.3999i	−0.597263	+	0.918767i
$494$	−29.9820			−1.34895
$495$	31.4762	−	0.700035i	1.41475	−	0.0314642i
$496$	0.250496	−	0.520160i	0.0112476	−	0.0233559i
$497$	−13.1438	−	27.2934i	−0.589581	−	1.22428i
$498$	−0.215488	+	0.0491837i	−0.00965625	+	0.00220398i
$499$	−0.428260	+	1.87633i	−0.0191715	+	0.0839960i	−0.983609	−	0.180316i	$-0.942288\pi$
$499$	−0.428260	+	1.87633i	−0.0191715	+	0.0839960i	0.964437	+	0.264312i	$0.0851450\pi$
$500$	−5.51165	−	9.72737i	−0.246489	−	0.435021i
$501$	−0.0116695	+	0.00930613i	−0.000521356	+	0.000415767i
$502$	3.17409	−	2.53125i	0.141667	−	0.112975i
$503$	21.5810	−	10.3928i	0.962248	−	0.463394i	0.114284	−	0.993448i	$-0.463543\pi$
$503$	21.5810	−	10.3928i	0.962248	−	0.463394i	0.847964	+	0.530054i	$0.177828\pi$
$504$	9.89586	+	7.89168i	0.440797	+	0.351524i
$505$	−8.27982	+	40.3967i	−0.368447	+	1.79763i
$506$	23.9982	−	30.0928i	1.06685	−	1.33779i
$507$	−0.0795309	+	0.348447i	−0.00353209	+	0.0154751i
$508$	1.21434	−	5.32036i	0.0538775	−	0.236053i
$509$	12.4012	−	15.5507i	0.549676	−	0.689271i	−0.426936	−	0.904282i	$-0.640407\pi$
$509$	12.4012	−	15.5507i	0.549676	−	0.689271i	0.976612	+	0.215010i	$0.0689785\pi$
$510$	−0.283479	−	0.0581028i	−0.0125527	−	0.00257283i
$511$	4.23798	+	3.37968i	0.187477	+	0.149508i
$512$	0.900969	−	0.433884i	0.0398176	−	0.0191751i
$513$	0.797960	−	0.636352i	0.0352308	−	0.0280956i
$514$	−10.4261	+	8.31457i	−0.459877	+	0.366740i
$515$	17.7174	−	23.2597i	0.780723	−	1.02494i
$516$	0.0349134	−	0.152965i	0.00153698	−	0.00673393i
$517$	−1.27887	+	0.291893i	−0.0562445	+	0.0128374i
$518$	3.19506	+	6.63461i	0.140383	+	0.291508i
$519$	−0.0700596	+	0.145480i	−0.00307528	+	0.00638588i
$520$	−11.2840	+	0.250959i	−0.494838	+	0.0110053i
$521$	−12.1112			−0.530600			−0.265300	−	0.964166i	$-0.585471\pi$
$521$	−12.1112			−0.530600			−0.265300	+	0.964166i	$0.585471\pi$
$522$	−5.09857	−	15.3252i	−0.223158	−	0.670766i
$523$			21.9875i			0.961446i	0.876873	+	0.480723i	$0.159626\pi$
$523$			21.9875i			0.961446i	−0.876873	+	0.480723i	$0.840374\pi$
$524$	−8.72037	+	1.99037i	−0.380951	+	0.0869496i
$525$	−0.455303	+	0.397460i	−0.0198711	+	0.0173466i
$526$	−13.8076	+	6.64940i	−0.602041	+	0.289928i
$527$	−2.54314	+	0.580455i	−0.110781	+	0.0252850i
$528$	−0.131092	−	0.0299210i	−0.00570506	−	0.00130214i
$529$	39.8402	+	19.1860i	1.73218	+	0.834176i
$530$	−0.585683	+	0.298270i	−0.0254404	+	0.0129560i
$531$	−21.0643	−	26.4138i	−0.914113	−	1.14626i
$532$	−22.5851	+	10.8764i	−0.979186	+	0.471551i
$533$	−3.44410	+	4.31876i	−0.149180	+	0.187066i
$534$		−	0.347465i		−	0.0150363i
$535$	−24.0637	−	28.8355i	−1.04036	−	1.24667i
$536$	0.164413	+	0.0375262i	0.00710156	+	0.00162088i
$537$	−0.00422360	+	0.0185048i	−0.000182262	+	0.000798540i
$538$	0.227776	+	0.181646i	0.00982013	+	0.00783129i
$539$			50.7513i			2.18601i
$540$	0.294994	−	0.246177i	0.0126945	−	0.0105938i
$541$	13.5557	+	28.1486i	0.582804	+	1.21020i	0.958932	+	0.283637i	$0.0915410\pi$
$541$	13.5557	+	28.1486i	0.582804	+	1.21020i	−0.376128	+	0.926568i	$0.622745\pi$
$542$	14.3060	−	11.4087i	0.614497	−	0.490045i
$543$	0.110711	+	0.138827i	0.00475106	+	0.00595765i
$544$	−4.07080	−	1.96039i	−0.174534	−	0.0840512i
$545$	1.39873	−	3.07774i	0.0599151	−	0.131836i
$546$	0.135768	+	0.594839i	0.00581034	+	0.0254568i
$547$	−6.84404	−	14.2118i	−0.292630	−	0.607652i	0.701880	−	0.712295i	$-0.252344\pi$
$547$	−6.84404	−	14.2118i	−0.292630	−	0.607652i	−0.994510	+	0.104643i	$0.966630\pi$
$548$	−4.85074	−	2.33599i	−0.207213	−	0.0997887i
$549$	−23.5186	+	5.36797i	−1.00375	+	0.229100i
$550$	−9.23433	+	21.5805i	−0.393753	+	0.920195i
$551$	31.7268	+	4.07128i	1.35161	+	0.173442i
$552$		−	0.234828i		−	0.00999493i
$553$	1.11904	+	4.90286i	0.0475866	+	0.208491i
$554$	2.05783	−	4.27312i	0.0874287	−	0.181548i
$555$	0.108370	−	0.0272835i	0.00460006	−	0.00115812i
$556$	1.40756	+	6.16694i	0.0596940	+	0.261537i
$557$	13.9826	+	3.19143i	0.592460	+	0.135225i	0.508230	−	0.861221i	$-0.330300\pi$
$557$	13.9826	+	3.19143i	0.592460	+	0.135225i	0.0842300	+	0.996446i	$0.473157\pi$
$558$	0.751283	−	1.56005i	0.0318043	−	0.0660424i
$559$	−21.6182	+	17.2399i	−0.914350	+	0.729170i
$560$	−8.40909	+	4.28249i	−0.355349	+	0.180968i
$561$	0.263602	+	0.547374i	0.0111293	+	0.0231102i
$562$	−8.84793	+	11.0950i	−0.373228	+	0.468013i
$563$	22.7720			0.959727			0.479863	−	0.877343i	$-0.340686\pi$
$563$	22.7720			0.959727			0.479863	+	0.877343i	$0.340686\pi$
$564$	−0.00498979	+	0.00625700i	−0.000210108	+	0.000263467i
$565$	−9.47211	+	20.8422i	−0.398495	+	0.876840i
$566$	−2.45614	−	0.560598i	−0.103239	−	0.0235637i
$567$	29.6713	+	23.6621i	1.24608	+	0.993715i
$568$	−7.17811			−0.301187
$569$	11.6006	+	9.25118i	0.486323	+	0.387830i	0.835729	−	0.549142i	$-0.185045\pi$
$569$	11.6006	+	9.25118i	0.486323	+	0.387830i	−0.349406	+	0.936971i	$0.613617\pi$
$570$	0.0928764	+	0.368906i	0.00389016	+	0.0154518i
$571$	7.98842	+	10.0172i	0.334305	+	0.419205i	0.920364	−	0.391063i	$-0.127893\pi$
$571$	7.98842	+	10.0172i	0.334305	+	0.419205i	−0.586059	+	0.810269i	$0.699321\pi$
$572$	14.7747	+	18.5269i	0.617761	+	0.774648i
$573$	−0.202175	+	0.419822i	−0.00844600	+	0.0175383i
$574$	−1.02770	+	4.50266i	−0.0428955	+	0.187938i
$575$	−40.3319	−	7.33612i	−1.68196	−	0.305937i
$576$	2.70217	−	1.30130i	0.112590	−	0.0542206i
$577$	−27.0583	−	13.0306i	−1.12645	−	0.542471i	−0.224572	−	0.974458i	$-0.572098\pi$
$577$	−27.0583	−	13.0306i	−1.12645	−	0.542471i	−0.901880	+	0.431987i	$0.857813\pi$
$578$	0.759811	+	3.32895i	0.0316040	+	0.138466i
$579$	−0.456652			−0.0189778
$580$	11.9748	+	1.26671i	0.497226	+	0.0525971i
$581$	32.5676			1.35113
$582$	0.0152870	+	0.0669768i	0.000633667	+	0.00277628i
$583$	1.24326	+	0.598725i	0.0514908	+	0.0247966i
$584$	1.15722	−	0.557290i	0.0478863	−	0.0230608i
$585$	−33.8429	+	0.752670i	−1.39923	+	0.0311191i
$586$	−2.93728	+	12.8691i	−0.121338	+	0.531617i
$587$	−1.91248	+	3.97130i	−0.0789364	+	0.163913i	−0.936702	−	0.350128i	$-0.886138\pi$
$587$	−1.91248	+	3.97130i	−0.0789364	+	0.163913i	0.857765	+	0.514042i	$0.171852\pi$
$588$	0.193053	+	0.242081i	0.00796138	+	0.00998325i
$589$	2.13811	+	2.68111i	0.0880993	+	0.110473i
$590$	24.4262	−	6.14957i	1.00561	−	0.253174i
$591$	−0.540769	−	0.431249i	−0.0222443	−	0.0177392i
$592$	1.74489			0.0717145
$593$	−11.5829	−	9.23703i	−0.475652	−	0.379320i	0.356118	−	0.934441i	$-0.384100\pi$
$593$	−11.5829	−	9.23703i	−0.475652	−	0.379320i	−0.831769	+	0.555122i	$0.812672\pi$
$594$	−0.786446	−	0.179501i	−0.0322683	−	0.00736502i
$595$	38.8170	+	17.6410i	1.59134	+	0.723212i
$596$	0.803876	−	1.00803i	0.0329280	−	0.0412904i
$597$	−0.174065			−0.00712400
$598$	−25.8026	+	32.3554i	−1.05515	+	1.32311i
$599$	4.88680	+	10.1476i	0.199669	+	0.414618i	0.976629	−	0.214933i	$-0.0689533\pi$
$599$	4.88680	+	10.1476i	0.199669	+	0.414618i	−0.776959	+	0.629551i	$0.783239\pi$
$600$	0.0380429	+	0.138064i	0.00155309	+	0.00563645i
$601$	−26.0000	+	20.7343i	−1.06056	+	0.845769i	−0.988438	−	0.151627i	$-0.951549\pi$
$601$	−26.0000	+	20.7343i	−1.06056	+	0.845769i	−0.0721229	+	0.997396i	$0.522977\pi$
$602$	−10.0307	+	20.8289i	−0.408819	+	0.848922i
$603$	0.493104	+	0.112548i	0.0200808	+	0.00458330i
$604$	−3.68900	−	16.1626i	−0.150103	−	0.657646i
$605$	23.9384	−	6.02676i	0.973233	−	0.245023i
$606$	0.229178	−	0.475892i	0.00930970	−	0.0193318i
$607$	−6.58281	−	28.8412i	−0.267188	−	1.17063i	−0.913269	−	0.407357i	$-0.866450\pi$
$607$	−6.58281	−	28.8412i	−0.267188	−	1.17063i	0.646081	−	0.763269i	$-0.276407\pi$
$608$			5.93982i			0.240892i
$609$	−0.0628954	−	0.647892i	−0.00254865	−	0.0262539i
$610$	3.61128	−	17.6192i	0.146217	−	0.713381i
$611$	1.37502	−	0.313840i	0.0556275	−	0.0126966i
$612$	−12.2091	−	5.87957i	−0.493522	−	0.237668i
$613$	13.7387	+	28.5287i	0.554902	+	1.15226i	0.970139	+	0.242552i	$0.0779844\pi$
$613$	13.7387	+	28.5287i	0.554902	+	1.15226i	−0.415237	+	0.909713i	$0.636301\pi$
$614$	−4.28390	−	18.7690i	−0.172884	−	0.757456i
$615$	0.0638081	+	0.0289987i	0.00257299	+	0.00116934i
$616$	17.8505	+	8.59634i	0.719216	+	0.346356i
$617$	−3.31896	−	4.16184i	−0.133616	−	0.167549i	0.710522	−	0.703675i	$-0.248459\pi$
$617$	−3.31896	−	4.16184i	−0.133616	−	0.167549i	−0.844138	+	0.536125i	$0.819887\pi$
$618$	−0.292815	+	0.233512i	−0.0117787	+	0.00939323i
$619$	10.3337	+	21.4582i	0.415347	+	0.862476i	0.998735	+	0.0502829i	$0.0160123\pi$
$619$	10.3337	+	21.4582i	0.415347	+	0.862476i	−0.583388	+	0.812193i	$0.698273\pi$
$620$	0.827143	+	0.991166i	0.0332188	+	0.0398062i
$621$		−	1.40877i		−	0.0565322i
$622$	11.6943	+	9.32588i	0.468898	+	0.373934i
$623$	−11.3925	+	49.9136i	−0.456429	+	1.99975i
$624$	0.140949	+	0.0321707i	0.00564247	+	0.00128786i
$625$	24.9012	−	2.22072i	0.996047	−	0.0888287i
$626$		−	22.0927i		−	0.883000i
$627$	0.497975	−	0.624441i	0.0198872	−	0.0249378i
$628$	−19.9205	+	9.59319i	−0.794913	+	0.382810i
$629$	−4.91549	−	6.16383i	−0.195993	−	0.245768i
$630$	−25.2204	+	12.8440i	−1.00480	+	0.511715i
$631$	−8.28706	−	3.99084i	−0.329903	−	0.158873i	0.261599	−	0.965177i	$-0.415750\pi$
$631$	−8.28706	−	3.99084i	−0.329903	−	0.158873i	−0.591501	+	0.806304i	$0.701465\pi$
$632$	1.16175	+	0.265161i	0.0462118	+	0.0105475i
$633$	−0.0279230	+	0.00637323i	−0.00110984	+	0.000253313i
$634$	−23.8958	+	11.5076i	−0.949022	+	0.457025i
$635$	9.70721	+	7.39421i	0.385219	+	0.293430i
$636$	0.00820780	−	0.00187338i	0.000325460	−	7.42842e-5i
$637$		−	54.5673i		−	2.16203i
$638$	−13.1187	−	21.6113i	−0.519375	−	0.855600i
$639$	−21.5285			−0.851652
$640$	0.0497182	+	2.23552i	0.00196528	+	0.0883665i
$641$	11.8363	−	24.5783i	0.467505	−	0.970783i	−0.525286	−	0.850926i	$-0.676042\pi$
$641$	11.8363	−	24.5783i	0.467505	−	0.970783i	0.992791	−	0.119858i	$-0.0382439\pi$
$642$	0.208730	+	0.433432i	0.00823791	+	0.0171062i
$643$	14.5979	−	3.33187i	0.575684	−	0.131396i	0.0752405	−	0.997165i	$-0.476028\pi$
$643$	14.5979	−	3.33187i	0.575684	−	0.131396i	0.500443	+	0.865769i	$0.333170\pi$
$644$	−7.69938	+	33.7332i	−0.303398	+	1.32927i
$645$	0.279092	+	0.212591i	0.0109892	+	0.00837075i
$646$	20.9825	−	16.7330i	0.825544	−	0.658350i
$647$	−35.6598	+	28.4377i	−1.40193	+	1.11800i	−0.424817	+	0.905279i	$0.639662\pi$
$647$	−35.6598	+	28.4377i	−1.40193	+	1.11800i	−0.977113	+	0.212723i	$0.931767\pi$
$648$	8.10207	−	3.90175i	0.318279	−	0.153275i
$649$	−41.3457	−	32.9721i	−1.62296	−	1.29427i
$650$	9.92865	−	23.2031i	0.389434	−	0.910101i
$651$	0.0435108	−	0.0545608i	0.00170532	−	0.00213841i
$652$	−1.17441	+	5.14544i	−0.0459936	+	0.201511i
$653$	−1.38362	+	6.06205i	−0.0541453	+	0.237226i	−0.994758	−	0.102255i	$-0.967394\pi$
$653$	−1.38362	+	6.06205i	−0.0541453	+	0.237226i	0.940613	+	0.339481i	$0.110251\pi$
$654$	−0.0269991	+	0.0338559i	−0.00105575	+	0.00132387i
$655$	4.01594	−	19.5935i	0.156916	−	0.765581i
$656$	0.855603	+	0.682321i	0.0334057	+	0.0266401i
$657$	3.47073	−	1.67141i	0.135406	−	0.0652080i
$658$	0.921938	−	0.735221i	0.0359409	−	0.0286619i
$659$	−15.8066	+	12.6054i	−0.615739	+	0.491035i	−0.880984	−	0.473146i	$-0.843118\pi$
$659$	−15.8066	+	12.6054i	−0.615739	+	0.491035i	0.265246	+	0.964181i	$0.414547\pi$
$660$	0.182191	−	0.239183i	0.00709179	−	0.00931019i
$661$	−8.78164	+	38.4749i	−0.341566	+	1.49650i	0.454202	+	0.890899i	$0.349924\pi$
$661$	−8.78164	+	38.4749i	−0.341566	+	1.49650i	−0.795768	+	0.605601i	$0.792933\pi$
$662$	−2.18602	+	0.498944i	−0.0849620	+	0.0193920i
$663$	−0.283421	−	0.588531i	−0.0110072	−	0.0228566i
$664$	3.34828	−	6.95277i	0.129938	−	0.269820i
$665$	−1.24631	−	56.0388i	−0.0483299	−	2.17309i
$666$	5.23323			0.202784
$667$	31.6977	−	30.7346i	1.22734	−	1.19005i
$668$		−	0.521120i		−	0.0201627i
$669$	0.223313	−	0.0509698i	0.00863378	−	0.00197060i
$670$	−0.228500	+	0.299978i	−0.00882774	+	0.0115892i
$671$	−34.0212	+	16.3837i	−1.31337	+	0.632487i
$672$	0.117845	−	0.0268975i	0.00454599	−	0.00103759i
$673$	−25.1916	−	5.74982i	−0.971064	−	0.221639i	−0.292569	−	0.956244i	$-0.594510\pi$
$673$	−25.1916	−	5.74982i	−0.971064	−	0.221639i	−0.678495	+	0.734605i	$0.737367\pi$
$674$	29.5162	+	14.2142i	1.13692	+	0.547512i
$675$	0.228226	+	0.828273i	0.00878442	+	0.0318802i
$676$	−7.78022	−	9.75608i	−0.299239	−	0.375234i
$677$	−23.7170	+	11.4215i	−0.911518	+	0.438964i	−0.830035	−	0.557711i	$-0.811680\pi$
$677$	−23.7170	+	11.4215i	−0.911518	+	0.438964i	−0.0814824	+	0.996675i	$0.525965\pi$
$678$	0.182836	−	0.229269i	0.00702178	−	0.00880504i
$679$		−	10.1225i		−	0.388466i
$680$	7.75692	−	6.47326i	0.297464	−	0.248238i
$681$	−0.386880	−	0.0883029i	−0.0148253	−	0.00338378i
$682$	0.603116	−	2.64242i	0.0230945	−	0.101184i
$683$	−23.5150	−	18.7526i	−0.899776	−	0.717548i	0.0600341	−	0.998196i	$-0.480879\pi$
$683$	−23.5150	−	18.7526i	−0.899776	−	0.717548i	−0.959811	+	0.280649i	$0.909450\pi$
$684$			17.8146i			0.681158i
$685$	9.24309	−	7.71349i	0.353160	−	0.294717i
$686$	−6.97737	−	14.4887i	−0.266397	−	0.553179i
$687$	−0.0575966	+	0.0459318i	−0.00219745	+	0.00175241i
$688$	3.41545	+	4.28284i	0.130213	+	0.163282i
$689$	−1.33674	−	0.643742i	−0.0509259	−	0.0245246i
$690$	0.478039	+	0.217253i	0.0181986	+	0.00827068i
$691$	−9.15886	−	40.1276i	−0.348419	−	1.52652i	−0.780770	−	0.624819i	$-0.785173\pi$
$691$	−9.15886	−	40.1276i	−0.348419	−	1.52652i	0.432350	−	0.901706i	$-0.357684\pi$
$692$	−2.44605	−	5.07928i	−0.0929849	−	0.193085i
$693$	53.5368	+	25.7820i	2.03369	+	0.979376i
$694$	−24.2218	+	5.52846i	−0.919445	+	0.209857i
$695$	−13.8563	−	2.84002i	−0.525599	−	0.107728i
$696$	−0.144783	−	0.0531824i	−0.00548798	−	0.00201587i
$697$		−	4.94458i		−	0.187289i
$698$	5.34354	+	23.4116i	0.202256	+	0.886142i
$699$	−0.159323	+	0.330837i	−0.00602614	+	0.0125134i
$700$	−0.938125	−	21.0804i	−0.0354578	−	0.796763i
$701$	6.64845	+	29.1288i	0.251109	+	1.10018i	0.930468	+	0.366373i	$0.119401\pi$
$701$	6.64845	+	29.1288i	0.251109	+	1.10018i	−0.679360	+	0.733806i	$0.737742\pi$
$702$	0.845578	+	0.192998i	0.0319143	+	0.00728423i
$703$	−4.49691	+	9.33794i	−0.169604	+	0.352187i
$704$	3.67042	−	2.92706i	0.138334	−	0.110318i
$705$	−0.00812103	−	0.0159464i	−0.000305856	−	0.000600578i
$706$	−8.63545	−	17.9317i	−0.325000	−	0.674869i
$707$	−48.5248	+	60.8482i	−1.82496	+	2.28843i
$708$	−0.322640			−0.0121255
$709$	−8.51433	+	10.6766i	−0.319762	+	0.400969i	−0.915570	−	0.402158i	$-0.868260\pi$
$709$	−8.51433	+	10.6766i	−0.319762	+	0.400969i	0.595808	+	0.803127i	$0.296832\pi$
$710$	6.64090	−	14.6125i	0.249228	−	0.548397i
$711$	3.48429	+	0.795265i	0.130671	+	0.0298248i
$712$	9.48466	+	7.56376i	0.355453	+	0.283464i
$713$	4.73341			0.177268
$714$	−0.426996	−	0.340518i	−0.0159799	−	0.0127436i
$715$	−51.3841	+	12.9366i	−1.92166	+	0.483800i
$716$	−0.413179	−	0.518110i	−0.0154412	−	0.0193627i
$717$	−0.524609	−	0.657839i	−0.0195919	−	0.0245674i
$718$	10.2461	−	21.2762i	0.382381	−	0.794022i
$719$	−0.242726	+	1.06345i	−0.00905217	+	0.0396601i	−0.979252	−	0.202645i	$-0.935046\pi$
$719$	−0.242726	+	1.06345i	−0.00905217	+	0.0396601i	0.970200	+	0.242305i	$0.0779035\pi$
$720$	0.149114	+	6.70471i	0.00555714	+	0.249870i
$721$	49.7193	−	23.9436i	1.85164	−	0.891705i
$722$	−14.6691	−	7.06428i	−0.545928	−	0.262905i
$723$	−0.0748950	−	0.328136i	−0.00278538	−	0.0122035i
$724$	−6.19953			−0.230404
$725$	−13.6572	+	23.2052i	−0.507216	+	0.861819i
$726$	−0.316196			−0.0117351
$727$	1.02335	+	4.48358i	0.0379539	+	0.166287i	0.990353	−	0.138567i	$-0.0442496\pi$
$727$	1.02335	+	4.48358i	0.0379539	+	0.166287i	−0.952399	+	0.304854i	$0.901392\pi$
$728$	−19.1926	−	9.24269i	−0.711326	−	0.342557i
$729$	24.2863	−	11.6956i	0.899491	−	0.433172i
$730$	0.0638592	+	2.87135i	0.00236353	+	0.106273i
$731$	5.50756	−	24.1302i	0.203705	−	0.892488i
$732$	−0.0999569	+	0.207563i	−0.00369451	+	0.00767174i
$733$	28.1564	+	35.3070i	1.03998	+	1.30409i	0.951378	+	0.308027i	$0.0996686\pi$
$733$	28.1564	+	35.3070i	1.03998	+	1.30409i	0.0886025	+	0.996067i	$0.471760\pi$
$734$	5.76886	+	7.23392i	0.212932	+	0.267009i
$735$	−0.671410	+	0.169035i	−0.0247653	+	0.00623496i
$736$	6.41003	+	5.11183i	0.236277	+	0.188425i
$737$	0.791709			0.0291630
$738$	2.56611	+	2.04640i	0.0944597	+	0.0753291i
$739$	19.3612	+	4.41906i	0.712212	+	0.162558i	0.563252	−	0.826285i	$-0.309550\pi$
$739$	19.3612	+	4.41906i	0.712212	+	0.162558i	0.148960	+	0.988843i	$0.452407\pi$
$740$	−1.61430	+	3.55207i	−0.0593428	+	0.130577i
$741$	−0.535417	+	0.671392i	−0.0196690	+	0.0246642i
$742$	−1.24048			−0.0455394
$743$	−4.20914	+	5.27810i	−0.154418	+	0.193635i	−0.853023	−	0.521873i	$-0.825233\pi$
$743$	−4.20914	+	5.27810i	−0.154418	+	0.193635i	0.698604	+	0.715508i	$0.253805\pi$
$744$	−0.00717469	−	0.0148984i	−0.000263037	−	0.000546202i
$745$	1.30833	+	2.56904i	0.0479336	+	0.0941222i
$746$	28.3562	−	22.6133i	1.03819	−	0.827933i
$747$	10.0421	−	20.8526i	0.367421	−	0.762957i
$748$	−20.6797	−	4.72001i	−0.756125	−	0.172581i
$749$	−15.7731	−	69.1066i	−0.576337	−	2.52510i
$750$	−0.316253	−	0.0502875i	−0.0115479	−	0.00183624i
$751$	−17.4108	+	36.1538i	−0.635327	+	1.31927i	0.296035	+	0.955177i	$0.404336\pi$
$751$	−17.4108	+	36.1538i	−0.635327	+	1.31927i	−0.931362	+	0.364094i	$0.881379\pi$
$752$	−0.0621758	−	0.272410i	−0.00226732	−	0.00993377i
$753$		−	0.116281i		−	0.00423752i
$754$	14.1051	+	23.2362i	0.513677	+	0.846214i
$755$	36.3151	+	7.44325i	1.32164	+	0.270888i
$756$	0.706976	−	0.161363i	0.0257125	−	0.00586870i
$757$	−19.1714	−	9.23246i	−0.696796	−	0.335559i	0.0517333	−	0.998661i	$-0.483525\pi$
$757$	−19.1714	−	9.23246i	−0.696796	−	0.335559i	−0.748529	+	0.663102i	$0.769240\pi$
$758$	5.38197	+	11.1758i	0.195482	+	0.405922i
$759$	−0.245314	−	1.07479i	−0.00890434	−	0.0390124i
$760$	−12.0917	−	5.49528i	−0.438612	−	0.199335i
$761$	−35.8780	−	17.2779i	−1.30058	−	0.626324i	−0.349981	−	0.936757i	$-0.613812\pi$
$761$	−35.8780	−	17.2779i	−1.30058	−	0.626324i	−0.950595	+	0.310433i	$0.899526\pi$
$762$	−0.0974542	−	0.122204i	−0.00353039	−	0.00442697i
$763$	4.98849	−	3.97819i	0.180596	−	0.144020i
$764$	−7.05872	−	14.6576i	−0.255376	−	0.530293i
$765$	23.2644	−	19.4145i	0.841125	−	0.701931i
$766$		−	6.53287i		−	0.236042i
$767$	44.4545	+	35.4513i	1.60516	+	1.28007i
$768$	0.00637343	−	0.0279238i	0.000229981	−	0.00100761i
$769$	18.6713	+	4.26159i	0.673303	+	0.153677i	0.545485	−	0.838121i	$-0.316346\pi$
$769$	18.6713	+	4.26159i	0.673303	+	0.153677i	0.127818	+	0.991798i	$0.459203\pi$
$770$	−34.0141	+	28.3853i	−1.22578	+	1.02293i
$771$			0.381955i			0.0137558i
$772$	9.94060	−	12.4651i	0.357770	−	0.448629i
$773$	−10.6296	+	5.11892i	−0.382318	+	0.184115i	−0.615165	−	0.788399i	$-0.710910\pi$
$773$	−10.6296	+	5.11892i	−0.382318	+	0.184115i	0.232846	+	0.972514i	$0.425196\pi$
$774$	10.2435	+	12.8450i	0.368197	+	0.461704i
$775$	−2.78296	+	0.766829i	−0.0999668	+	0.0275453i
$776$	−2.16102	−	1.04069i	−0.0775762	−	0.0373587i
$777$	0.205627	+	0.0469330i	0.00737683	+	0.00168371i
$778$	32.9301	−	7.51608i	1.18060	−	0.269465i
$779$	−5.85656	+	2.82037i	−0.209833	+	0.101050i
$780$	−0.195890	+	0.257167i	−0.00701399	+	0.00920806i
$781$	−32.8538	+	7.49865i	−1.17560	+	0.268323i
$782$		−	37.0439i		−	1.32469i
$783$	−0.868579	−	0.319051i	−0.0310405	−	0.0114019i
$784$	−10.8105			−0.386089
$785$	−1.09927	−	49.4274i	−0.0392347	−	1.76414i
$786$	−0.111157	+	0.230821i	−0.00396485	+	0.00823310i
$787$	2.65469	+	5.51252i	0.0946295	+	0.196500i	0.942911	−	0.333046i	$-0.108076\pi$
$787$	2.65469	+	5.51252i	0.0946295	+	0.196500i	−0.848281	+	0.529546i	$0.822362\pi$
$788$	23.5434	−	5.37362i	0.838698	−	0.191427i
$789$	−0.0976747	+	0.427941i	−0.00347731	+	0.0152351i
$790$	−1.61459	+	2.11965i	−0.0574445	+	0.0754138i
$791$	−33.7817	+	26.9400i	−1.20114	+	0.957876i
$792$	11.0082	−	8.77878i	0.391161	−	0.311940i
$793$	36.5792	−	17.6156i	1.29896	−	0.625548i
$794$	18.3183	+	14.6083i	0.650091	+	0.518431i
$795$	−0.00377988	+	0.0184418i	−0.000134059	+	0.000654063i
$796$	3.78912	−	4.75140i	0.134302	−	0.168409i
$797$	−0.930509	+	4.07683i	−0.0329603	+	0.144409i	−0.988731	−	0.149706i	$-0.952167\pi$
$797$	−0.930509	+	4.07683i	−0.0329603	+	0.144409i	0.955770	+	0.294114i	$0.0950246\pi$
$798$	−0.159766	+	0.699981i	−0.00565566	+	0.0247791i
$799$	−0.787136	+	0.987038i	−0.0278469	+	0.0349189i
$800$	−4.59684	−	1.96700i	−0.162523	−	0.0695438i
$801$	28.4462	+	22.6851i	1.00510	+	0.801538i
$802$	−9.31238	+	4.48460i	−0.328831	+	0.158357i
$803$	4.71437	−	3.75958i	0.166366	−	0.132673i
$804$	0.00377641	−	0.00301159i	0.000133184	−	0.000106210i
$805$	−61.5476	−	46.8822i	−2.16927	−	1.65238i
$806$	−0.648463	+	2.84110i	−0.0228411	+	0.100074i
$807$	0.00813524	−	0.00185681i	0.000286374	−	6.53630e-5i
$808$	8.00147	+	16.6152i	0.281491	+	0.584521i
$809$	4.75079	−	9.86511i	0.167029	−	0.346839i	−0.800607	−	0.599190i	$-0.795489\pi$
$809$	4.75079	−	9.86511i	0.167029	−	0.346839i	0.967636	+	0.252351i	$0.0812038\pi$
$810$	0.447097	+	20.1031i	0.0157094	+	0.706352i
$811$	2.74188			0.0962805			0.0481403	−	0.998841i	$-0.484671\pi$
$811$	2.74188			0.0962805			0.0481403	+	0.998841i	$0.484671\pi$
$812$	19.0545	+	12.3867i	0.668681	+	0.434689i
$813$		−	0.524093i		−	0.0183808i
$814$	7.98624	−	1.82281i	0.279917	−	0.0638893i
$815$	−9.38806	−	7.15110i	−0.328849	−	0.250492i
$816$	−0.116596	+	0.0561495i	−0.00408166	+	0.00196563i
$817$	−31.7223	+	7.24040i	−1.10982	+	0.253310i
$818$	30.1693	+	6.88595i	1.05484	+	0.240761i
$819$	−57.5622	−	27.7205i	−2.01138	−	0.968632i
$820$	−2.18057	+	1.11050i	−0.0761488	+	0.0387802i
$821$	15.3465	+	19.2439i	0.535597	+	0.671617i	0.973839	−	0.227240i	$-0.0729701\pi$
$821$	15.3465	+	19.2439i	0.535597	+	0.671617i	−0.438242	+	0.898857i	$0.644399\pi$
$822$	−0.138935	+	0.0669074i	−0.00484590	+	0.00233366i
$823$	25.0012	−	31.3505i	0.871486	−	1.09281i	−0.123455	−	0.992350i	$-0.539398\pi$
$823$	25.0012	−	31.3505i	0.871486	−	1.09281i	0.994941	−	0.100459i	$-0.0320311\pi$
$824$		−	13.0761i		−	0.455527i
$825$	0.318349	+	0.592170i	0.0110835	+	0.0206167i
$826$	46.3475	+	10.5785i	1.61263	+	0.368073i
$827$	8.76222	−	38.3898i	0.304692	−	1.33494i	−0.558263	−	0.829664i	$-0.688532\pi$
$827$	8.76222	−	38.3898i	0.304692	−	1.33494i	0.862955	−	0.505280i	$-0.168611\pi$
$828$	19.2248	+	15.3313i	0.668109	+	0.532799i
$829$		−	42.5490i		−	1.47779i	−0.673821	−	0.738894i	$-0.735348\pi$
$829$		−	42.5490i		−	1.47779i	0.673821	−	0.738894i	$-0.264652\pi$
$830$	11.0561	+	13.2485i	0.383762	+	0.459863i
$831$	−0.0589402	−	0.122391i	−0.00204461	−	0.00424568i
$832$	−3.94639	+	3.14714i	−0.136816	+	0.109108i
$833$	30.4540	+	38.1881i	1.05517	+	1.32314i
$834$	0.163234	+	0.0786092i	0.00565232	+	0.00272201i
$835$	1.06084	+	0.482119i	0.0367120	+	0.0166844i
$836$	6.20507	+	27.1862i	0.214607	+	0.940254i
$837$	−0.0430423	−	0.0893782i	−0.00148776	−	0.00308936i
$838$	4.51519	+	2.17440i	0.155975	+	0.0751134i
$839$	33.9785	−	7.75538i	1.17307	−	0.267745i	0.408788	−	0.912629i	$-0.365951\pi$
$839$	33.9785	−	7.75538i	1.17307	−	0.267745i	0.764281	+	0.644884i	$0.223094\pi$
$840$	−0.0542706	+	0.264783i	−0.00187251	+	0.00913587i
$841$	−11.7707	−	26.5038i	−0.405885	−	0.913924i
$842$			10.3138i			0.355437i
$843$	0.0904453	+	0.396267i	0.00311510	+	0.0136481i
$844$	0.433870	−	0.900941i	0.0149344	−	0.0310117i
$845$	27.0584	−	6.81227i	0.930838	−	0.234349i
$846$	−0.186476	−	0.817007i	−0.00641119	−	0.0280893i
$847$	45.4219	+	10.3672i	1.56071	+	0.356223i
$848$	−0.127534	+	0.264827i	−0.00437953	+	0.00909418i
$849$	−0.0564152	+	0.0449896i	−0.00193617	+	0.00154404i
$850$	6.00124	+	21.7796i	0.205841	+	0.747033i
$851$	6.20709	+	12.8892i	0.212776	+	0.441835i
$852$	−0.128186	+	0.160741i	−0.00439160	+	0.00550689i
$853$	−37.1452			−1.27183			−0.635914	−	0.771760i	$-0.719377\pi$
$853$	−37.1452			−1.27183			−0.635914	+	0.771760i	$0.719377\pi$
$854$	21.1643	−	26.5392i	0.724228	−	0.908153i
$855$	−36.2652	−	16.4813i	−1.24024	−	0.563650i
$856$	−16.3750	−	3.73749i	−0.559686	−	0.127745i
$857$	−12.6045	−	10.0518i	−0.430562	−	0.343362i	0.384106	−	0.923289i	$-0.374510\pi$
$857$	−12.6045	−	10.0518i	−0.430562	−	0.343362i	−0.814668	+	0.579927i	$0.803081\pi$
$858$	0.678721			0.0231712
$859$	−25.4364	−	20.2849i	−0.867880	−	0.692111i	0.0846979	−	0.996407i	$-0.473007\pi$
$859$	−25.4364	−	20.2849i	−0.867880	−	0.692111i	−0.952578	+	0.304296i	$0.901579\pi$
$860$	−11.8784	+	2.99053i	−0.405051	+	0.101976i
$861$	0.0824762	+	0.103422i	0.00281078	+	0.00352461i
$862$	−12.0698	−	15.1351i	−0.411100	−	0.515503i
$863$	−5.80758	+	12.0596i	−0.197692	+	0.410512i	−0.976123	−	0.217218i	$-0.930302\pi$
$863$	−5.80758	+	12.0596i	−0.197692	+	0.410512i	0.778431	+	0.627730i	$0.216016\pi$
$864$	0.0382354	−	0.167520i	0.00130079	−	0.00569915i
$865$	12.6029	−	0.280290i	0.428511	−	0.00953014i
$866$	−17.1433	+	8.25575i	−0.582551	+	0.280542i
$867$	0.0881144	+	0.0424336i	0.00299252	+	0.00144112i
$868$	0.542171	+	2.37541i	0.0184025	+	0.0806265i
$869$	5.59424			0.189771
$870$	0.242211	−	0.245533i	0.00821171	−	0.00832433i
$871$	−0.851237			−0.0288431
$872$	−0.336426	−	1.47398i	−0.0113928	−	0.0499152i
$873$	−6.48130	−	3.12123i	−0.219359	−	0.105638i
$874$	−43.8763	+	21.1297i	−1.48414	+	0.714724i
$875$	43.7813	+	17.5930i	1.48008	+	0.594750i
$876$	0.00818618	−	0.0358660i	0.000276585	−	0.00121180i
$877$	−16.9365	+	35.1691i	−0.571906	+	1.18757i	0.391661	+	0.920109i	$0.371900\pi$
$877$	−16.9365	+	35.1691i	−0.571906	+	1.18757i	−0.963567	+	0.267466i	$0.913814\pi$
$878$	3.28650	+	4.12113i	0.110914	+	0.139082i
$879$	0.235726	+	0.295591i	0.00795083	+	0.00997003i
$880$	2.56290	+	10.1799i	0.0863953	+	0.343163i
$881$	−5.54502	−	4.42201i	−0.186817	−	0.148981i	0.525616	−	0.850722i	$-0.323835\pi$
$881$	−5.54502	−	4.42201i	−0.186817	−	0.148981i	−0.712432	+	0.701741i	$0.752406\pi$
$882$	−32.4226			−1.09173
$883$	14.7234	+	11.7416i	0.495483	+	0.395135i	0.839102	−	0.543975i	$-0.183081\pi$
$883$	14.7234	+	11.7416i	0.495483	+	0.395135i	−0.343618	+	0.939109i	$0.611653\pi$
$884$	22.2346	+	5.07490i	0.747831	+	0.170687i
$885$	0.298493	−	0.656798i	0.0100337	−	0.0220780i
$886$	−10.6487	+	13.3531i	−0.357751	+	0.448605i
$887$	58.4722			1.96331			0.981653	−	0.190677i	$-0.0610685\pi$
$887$	58.4722			1.96331			0.981653	+	0.190677i	$0.0610685\pi$
$888$	0.0311601	−	0.0390736i	0.00104567	−	0.00131122i
$889$	9.99263	+	20.7499i	0.335142	+	0.695930i
$890$	−24.1724	+	12.3102i	−0.810260	+	0.412640i
$891$	33.0066	−	26.3219i	1.10576	−	0.881818i
$892$	−3.46987	+	7.20525i	−0.116180	+	0.241250i
$893$	1.61807	+	0.369313i	0.0541466	+	0.0123586i
$894$	−0.00821737	−	0.0360026i	−0.000274830	−	0.00120411i
$895$	1.43697	−	0.361775i	0.0480328	−	0.0120928i
$896$	−1.83110	+	3.80231i	−0.0611726	+	0.127026i
$897$	0.263759	+	1.15560i	0.00880666	+	0.0385845i
$898$			2.89111i			0.0964776i
$899$	1.07200	−	2.91838i	0.0357531	−	0.0973335i
$900$	−13.7867	−	5.89937i	−0.459558	−	0.196646i
$901$	1.29477	−	0.295524i	0.0431352	−	0.00984533i
$902$	4.62883	+	2.22913i	0.154123	+	0.0742218i
$903$	0.287298	+	0.596580i	0.00956067	+	0.0198529i
$904$	2.27825	+	9.98166i	0.0757734	+	0.331985i
$905$	5.73556	−	12.6204i	0.190656	−	0.419516i
$906$	−0.427810	−	0.206022i	−0.0142130	−	0.00684463i
$907$	−23.4081	−	29.3529i	−0.777254	−	0.974646i	0.222746	−	0.974876i	$-0.428498\pi$
$907$	−23.4081	−	29.3529i	−0.777254	−	0.974646i	−1.00000		0.000230966i	$0.999926\pi$
$908$	10.8322	−	8.63836i	0.359478	−	0.286674i
$909$	23.9978	+	49.8320i	0.795958	+	1.65282i
$910$	36.5716	−	30.5195i	1.21234	−	1.01171i
$911$			37.2596i			1.23447i	0.786781	+	0.617233i	$0.211746\pi$
$911$			37.2596i			1.23447i	−0.786781	+	0.617233i	$0.788254\pi$
$912$	0.133011	+	0.106073i	0.00440445	+	0.00351243i
$913$	8.06160	−	35.3202i	0.266800	−	1.16893i
$914$	−26.8306	−	6.12390i	−0.887476	−	0.202561i
$915$	−0.330060	−	0.395511i	−0.0109114	−	0.0130752i
$916$		−	2.57206i		−	0.0849834i
$917$	23.5358	−	29.5130i	0.777222	−	0.974606i
$918$	−0.699478	+	0.336851i	−0.0230862	+	0.0111177i
$919$	9.26929	+	11.6233i	0.305766	+	0.383418i	0.910846	−	0.412746i	$-0.135430\pi$
$919$	9.26929	+	11.6233i	0.305766	+	0.383418i	−0.605080	+	0.796164i	$0.706859\pi$
$920$	−16.3365	+	8.31966i	−0.538597	+	0.274291i
$921$	−0.496799	−	0.239246i	−0.0163701	−	0.00788342i
$922$	10.5031	+	2.39726i	0.345900	+	0.0789495i
$923$	35.3240	−	8.06247i	1.16270	−	0.265379i
$924$	0.511272	−	0.246216i	0.0168196	−	0.00809990i
$925$	−5.73747	−	6.57246i	−0.188647	−	0.216101i
$926$	−5.23748	+	1.19542i	−0.172114	+	0.0392840i
$927$		−	39.2175i		−	1.28807i
$928$	4.60340	−	2.79440i	0.151114	−	0.0917308i
$929$	−33.6804			−1.10502			−0.552509	−	0.833507i	$-0.686329\pi$
$929$	−33.6804			−1.10502			−0.552509	+	0.833507i	$0.686329\pi$
$930$	0.0369664		0.000822139i	0.00121218		2.69590e-5i
$931$	27.8607	−	57.8534i	0.913098	−	1.89607i
$932$	−5.56256	−	11.5508i	−0.182208	−	0.378359i
$933$	0.417672	−	0.0953310i	0.0136740	−	0.00312100i
$934$	−2.87743	+	12.6068i	−0.0941524	+	0.412509i
$935$	28.7406	−	37.7310i	0.939917	−	1.23393i
$936$	−11.8359	+	9.43884i	−0.386870	+	0.308518i
$937$	6.64934	−	5.30267i	0.217224	−	0.173231i	−0.508832	−	0.860866i	$-0.669923\pi$
$937$	6.64934	−	5.30267i	0.217224	−	0.173231i	0.726056	+	0.687635i	$0.241351\pi$
$938$	−0.641226	+	0.308798i	−0.0209368	+	0.0100826i
$939$	−0.494725	−	0.394530i	−0.0161447	−	0.0128750i
$940$	0.612068	+	0.125451i	0.0199635	+	0.00409177i
$941$	−11.2024	+	14.0473i	−0.365187	+	0.457930i	−0.930146	−	0.367189i	$-0.880320\pi$
$941$	−11.2024	+	14.0473i	−0.365187	+	0.457930i	0.564960	+	0.825119i	$0.308892\pi$
$942$	−0.140917	+	0.617397i	−0.00459132	+	0.0201159i
$943$	−1.99654	+	8.74739i	−0.0650161	+	0.284854i
$944$	7.02336	−	8.80701i	0.228591	−	0.286644i
$945$	−0.325579	+	1.58848i	−0.0105911	+	0.0516732i
$946$	20.1064	+	16.0343i	0.653715	+	0.521320i
$947$	−3.54561	+	1.70748i	−0.115217	+	0.0554855i	−0.490604	−	0.871382i	$-0.663224\pi$
$947$	−3.54561	+	1.70748i	−0.115217	+	0.0554855i	0.375387	+	0.926868i	$0.377510\pi$
$948$	0.0266842	−	0.0212799i	0.000866663	−	0.000691140i
$949$	−5.06883	+	4.04226i	−0.164541	+	0.131217i
$950$	22.3735	−	19.5311i	0.725892	−	0.633672i
$951$	−0.169038	+	0.740604i	−0.00548143	+	0.0240157i
$952$	18.5900	−	4.24306i	0.602507	−	0.137518i
$953$	15.5707	+	32.3328i	0.504384	+	1.04736i	0.985337	+	0.170618i	$0.0545763\pi$
$953$	15.5707	+	32.3328i	0.504384	+	1.04736i	−0.480954	+	0.876746i	$0.659709\pi$
$954$	−0.382497	+	0.794262i	−0.0123838	+	0.0257152i
$955$	36.3689	−	0.808850i	1.17687	−	0.0261738i
$956$	29.3768			0.950112
$957$	−0.718219	−	0.0921642i	−0.0232167	−	0.00297925i
$958$			1.47212i			0.0475622i
$959$	22.1518	−	5.05600i	0.715318	−	0.163267i
$960$	0.0509481	+	0.0388084i	0.00164434	+	0.00125254i
$961$	−27.6297	+	13.3058i	−0.891282	+	0.429219i
$962$	−8.58671	+	1.95986i	−0.276847	+	0.0631885i
$963$	−49.1116	−	11.2094i	−1.58260	−	0.361218i
$964$	10.5874	+	5.09862i	0.340997	+	0.164216i
$965$	16.1786	+	31.7683i	0.520808	+	1.02266i
$966$	0.617898	+	0.774819i	0.0198805	+	0.0249294i
$967$	−10.5853	+	5.09761i	−0.340400	+	0.163928i	−0.596272	−	0.802783i	$-0.703352\pi$
$967$	−10.5853	+	5.09761i	−0.340400	+	0.163928i	0.255872	+	0.966711i	$0.417638\pi$
$968$	6.88310	−	8.63113i	0.221231	−	0.277415i
$969$		−	0.768681i		−	0.0246936i
$970$	4.11783	−	3.43639i	0.132216	−	0.110336i
$971$	−17.3087	−	3.95060i	−0.555463	−	0.126781i	−0.0644310	−	0.997922i	$-0.520523\pi$
$971$	−17.3087	−	3.95060i	−0.555463	−	0.126781i	−0.491033	+	0.871141i	$0.663380\pi$
$972$	0.172020	−	0.753668i	0.00551754	−	0.0241739i
$973$	−20.8713	−	16.6443i	−0.669102	−	0.533591i
$974$		−	26.8382i		−	0.859950i
$975$	−0.342286	−	0.636694i	−0.0109619	−	0.0203905i
$976$	−3.48988	−	7.24681i	−0.111708	−	0.231965i
$977$	−20.4249	+	16.2883i	−0.653451	+	0.521109i	−0.893162	−	0.449735i	$-0.851519\pi$
$977$	−20.4249	+	16.2883i	−0.653451	+	0.521109i	0.239712	+	0.970844i	$0.422947\pi$
$978$	0.0942501	+	0.118186i	0.00301379	+	0.00377917i
$979$	51.3122	+	24.7106i	1.63994	+	0.789755i
$980$	10.0014	−	22.0069i	0.319484	−	0.702985i
$981$	−1.00900	−	4.42072i	−0.0322149	−	0.141143i
$982$	−4.78300	−	9.93200i	−0.152632	−	0.316943i
$983$	−41.0223	−	19.7553i	−1.30841	−	0.630097i	−0.355876	−	0.934533i	$-0.615818\pi$
$983$	−41.0223	−	19.7553i	−1.30841	−	0.630097i	−0.952533	+	0.304437i	$0.901532\pi$
$984$	0.0305586	−	0.00697481i	0.000974174	−	0.000222349i
$985$	−10.8423	+	52.8988i	−0.345464	+	1.68549i
$986$	−22.8394	−	8.38949i	−0.727355	−	0.267176i
$987$		−	0.0337747i		−	0.00107506i
$988$	−6.67162	−	29.2303i	−0.212253	−	0.929939i
$989$	−19.4867	+	40.4646i	−0.619642	+	1.28670i
$990$	7.68660	+	30.5312i	0.244296	+	0.970347i
$991$	−9.46519	−	41.4697i	−0.300672	−	1.31733i	−0.869117	−	0.494607i	$-0.835312\pi$
$991$	−9.46519	−	41.4697i	−0.300672	−	1.31733i	0.568445	−	0.822721i	$-0.307545\pi$
$992$	0.562859	+	0.128469i	0.0178708	+	0.00407889i
$993$	−0.0278649	+	0.0578620i	−0.000884265	+	0.00183620i
$994$	23.6843	−	18.8876i	0.751222	−	0.599079i
$995$	6.16690	+	12.1093i	0.195504	+	0.383891i
$996$	−0.0959012	−	0.199141i	−0.00303875	−	0.00631002i
$997$	8.44501	−	10.5897i	0.267456	−	0.335379i	−0.629908	−	0.776669i	$-0.716908\pi$
$997$	8.44501	−	10.5897i	0.267456	−	0.335379i	0.897365	+	0.441290i	$0.145479\pi$
$998$	−1.92458			−0.0609216
$999$	0.186935	−	0.234409i	0.00591437	−	0.00741638i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	290.2.l.b.109.5	yes	48
5.4	even	2		290.2.l.a.109.4	✓	48
29.4	even	14		290.2.l.a.149.4	yes	48
145.4	even	14	inner	290.2.l.b.149.5	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
290.2.l.a.109.4	✓	48	5.4	even	2
290.2.l.a.149.4	yes	48	29.4	even	14
290.2.l.b.109.5	yes	48	1.1	even	1	trivial
290.2.l.b.149.5	yes	48	145.4	even	14	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 290 = 2 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	290.l (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.222521 + 0.974928i) q^{2} +(0.0258055 + 0.0124273i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.0497182 - 2.23552i) q^{5} +(-0.00637343 + 0.0279238i) q^{6} +(1.83110 - 3.80231i) q^{7} +(-0.623490 - 0.781831i) q^{8} +(-1.86996 - 2.34485i) q^{9} +(2.16840 - 0.545921i) q^{10} +(-3.67042 - 2.92706i) q^{11} -0.0286419 q^{12} +(3.94639 + 3.14714i) q^{13} +(4.11444 + 0.939093i) q^{14} +(0.0264984 - 0.0583064i) q^{15} +(0.623490 - 0.781831i) q^{16} -4.51825 q^{17} +(1.86996 - 2.34485i) q^{18} +(2.57719 + 5.35160i) q^{19} +(1.01475 + 1.99256i) q^{20} +(0.0945047 - 0.0753650i) q^{21} +(2.03693 - 4.22972i) q^{22} +(7.99318 + 1.82439i) q^{23} +(-0.00637343 - 0.0279238i) q^{24} +(-4.99506 + 0.222292i) q^{25} +(-2.19008 + 4.54775i) q^{26} +(-0.0382354 - 0.167520i) q^{27} +4.22025i q^{28} +(2.93508 - 4.51501i) q^{29} +(0.0627410 + 0.0128596i) q^{30} +(0.562859 - 0.128469i) q^{31} +(0.900969 + 0.433884i) q^{32} +(-0.0583415 - 0.121147i) q^{33} +(-1.00540 - 4.40497i) q^{34} +(-8.59116 - 3.90440i) q^{35} +(2.70217 + 1.30130i) q^{36} +(1.08792 + 1.36421i) q^{37} +(-4.64394 + 3.70342i) q^{38} +(0.0627282 + 0.130256i) q^{39} +(-1.71680 + 1.43269i) q^{40} +1.09436i q^{41} +(0.0945047 + 0.0753650i) q^{42} +(-1.21896 + 5.34061i) q^{43} +(4.57693 + 1.04466i) q^{44} +(-5.14898 + 4.29690i) q^{45} +8.19874i q^{46} +(0.174213 - 0.218456i) q^{47} +(0.0258055 - 0.0124273i) q^{48} +(-6.74023 - 8.45198i) q^{49} +(-1.32822 - 4.82036i) q^{50} +(-0.116596 - 0.0561495i) q^{51} +(-4.92107 - 1.12320i) q^{52} +(-0.286566 + 0.0654067i) q^{53} +(0.154812 - 0.0745534i) q^{54} +(-6.36100 + 8.35080i) q^{55} +(-4.11444 + 0.939093i) q^{56} +0.170128i q^{57} +(5.05493 + 1.85680i) q^{58} +11.2646 q^{59} +(0.00142403 + 0.0640295i) q^{60} +(3.48988 - 7.24681i) q^{61} +(0.250496 + 0.520160i) q^{62} +(-12.3399 + 2.81651i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(6.83928 - 8.97869i) q^{65} +(0.105128 - 0.0838366i) q^{66} +(-0.131849 + 0.105146i) q^{67} +(4.07080 - 1.96039i) q^{68} +(0.183596 + 0.146413i) q^{69} +(1.89480 - 9.24458i) q^{70} +(4.47548 - 5.61208i) q^{71} +(-0.667380 + 2.92398i) q^{72} +(-0.285811 + 1.25222i) q^{73} +(-1.08792 + 1.36421i) q^{74} +(-0.131662 - 0.0563386i) q^{75} +(-4.64394 - 3.70342i) q^{76} +(-17.8505 + 8.59634i) q^{77} +(-0.113032 + 0.0901402i) q^{78} +(-0.931648 + 0.742964i) q^{79} +(-1.77879 - 1.35495i) q^{80} +(-2.00105 + 8.76715i) q^{81} +(-1.06692 + 0.243517i) q^{82} +(3.34828 + 6.95277i) q^{83} +(-0.0524462 + 0.108906i) q^{84} +(0.224639 + 10.1006i) q^{85} -5.47796 q^{86} +(0.131850 - 0.0800371i) q^{87} +4.69464i q^{88} +(-11.8272 + 2.69948i) q^{89} +(-5.33493 - 4.06374i) q^{90} +(19.1926 - 9.24269i) q^{91} +(-7.99318 + 1.82439i) q^{92} +(0.0161214 + 0.00367960i) q^{93} +(0.251745 + 0.121234i) q^{94} +(11.8354 - 6.02742i) q^{95} +(0.0178580 + 0.0223932i) q^{96} +(2.16102 - 1.04069i) q^{97} +(6.74023 - 8.45198i) q^{98} +14.0801i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 8 q^{2} - 4 q^{3} - 8 q^{4} + 8 q^{5} - 3 q^{6} + 7 q^{7} + 8 q^{8} - 8 q^{9} - q^{10} + 10 q^{12} - 10 q^{15} - 8 q^{16} - 30 q^{17} + 8 q^{18} - 13 q^{20} + 7 q^{21} + 7 q^{23} - 3 q^{24} - 12 q^{25}+ \cdots - 27 q^{98}+O(q^{100}) \) 48 * q + 8 * q^2 - 4 * q^3 - 8 * q^4 + 8 * q^5 - 3 * q^6 + 7 * q^7 + 8 * q^8 - 8 * q^9 - q^10 + 10 * q^12 - 10 * q^15 - 8 * q^16 - 30 * q^17 + 8 * q^18 - 13 * q^20 + 7 * q^21 + 7 * q^23 - 3 * q^24 - 12 * q^25 + 21 * q^26 + 11 * q^27 - 10 * q^29 - 18 * q^30 + 14 * q^31 + 8 * q^32 - 14 * q^33 - 33 * q^34 - q^36 - 44 * q^37 - 28 * q^38 - 14 * q^39 - 8 * q^40 + 7 * q^42 - 8 * q^43 + 14 * q^44 + 25 * q^45 - 6 * q^47 - 4 * q^48 + 27 * q^49 + 5 * q^50 + 24 * q^51 + 77 * q^53 + 10 * q^54 - 32 * q^55 + 10 * q^58 - 24 * q^59 + 4 * q^60 + 56 * q^61 - 8 * q^64 - 34 * q^65 + 42 * q^67 - 2 * q^68 + 28 * q^69 - 30 * q^71 + 22 * q^72 - 29 * q^73 + 44 * q^74 - 32 * q^75 - 28 * q^76 - 30 * q^77 + 14 * q^78 + q^80 - 130 * q^81 - 42 * q^82 - 42 * q^84 + 28 * q^85 - 62 * q^86 + 32 * q^87 + 31 * q^90 - 106 * q^91 - 7 * q^92 - 70 * q^93 + 27 * q^94 + 165 * q^95 + 4 * q^96 - 49 * q^97 - 27 * q^98

Introduction

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