LMFDB - Embedded newform 182.2.v.a.179.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [182,2,Mod(121,182)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(182, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([2, 1])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("182.121"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 182 = 2 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	182.v (of order $6$, degree $2$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.45327731679$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$10$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} + \cdots)$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} + 46 x^{18} + 895 x^{16} + 9634 x^{14} + 62977 x^{12} + 257850 x^{10} + 656102 x^{8} + \cdots + 32041 $ x^20 + 46x^18 + 895x^16 + 9634x^14 + 62977x^12 + 257850x^10 + 656102x^8 + 989866x^6 + 795896x^4 + 273668*x^2 + 32041
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			179.5
Root			$3.16760i$ of defining polynomial
Character	$\chi$	$=$	182.179
Dual form			182.2.v.a.121.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.866025 - 0.500000i) q^{2} +3.16760 q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.91470 + 1.68280i) q^{5} +(-2.74322 - 1.58380i) q^{6} +(2.54951 + 0.707090i) q^{7} -1.00000i q^{8} +7.03369 q^{9} +3.36560 q^{10} +2.14059i q^{11} +(1.58380 + 2.74322i) q^{12} +(-1.39219 - 3.32593i) q^{13} +(-1.85440 - 1.88712i) q^{14} +(-9.23259 + 5.33044i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.38022 - 4.12266i) q^{17} +(-6.09135 - 3.51684i) q^{18} -0.984833i q^{19} +(-2.91470 - 1.68280i) q^{20} +(8.07584 + 2.23978i) q^{21} +(1.07029 - 1.85380i) q^{22} +(-1.59384 + 2.76062i) q^{23} -3.16760i q^{24} +(3.16364 - 5.47958i) q^{25} +(-0.457288 + 3.57644i) q^{26} +12.7771 q^{27} +(0.662399 + 2.56149i) q^{28} +(-2.13687 - 3.70117i) q^{29} +10.6609 q^{30} +(-0.714987 - 0.412798i) q^{31} +(0.866025 - 0.500000i) q^{32} +6.78052i q^{33} +4.76044i q^{34} +(-8.62095 + 2.22937i) q^{35} +(3.51684 + 6.09135i) q^{36} +(-7.47646 - 4.31654i) q^{37} +(-0.492417 + 0.852891i) q^{38} +(-4.40992 - 10.5352i) q^{39} +(1.68280 + 2.91470i) q^{40} +(2.86076 - 1.65166i) q^{41} +(-5.87400 - 5.97763i) q^{42} +(-2.74451 + 4.75362i) q^{43} +(-1.85380 + 1.07029i) q^{44} +(-20.5011 + 11.8363i) q^{45} +(2.76062 - 1.59384i) q^{46} +(3.48332 - 2.01109i) q^{47} +(-1.58380 + 2.74322i) q^{48} +(6.00005 + 3.60547i) q^{49} +(-5.47958 + 3.16364i) q^{50} +(-7.53958 - 13.0589i) q^{51} +(2.18424 - 2.86864i) q^{52} +(-6.53907 + 11.3260i) q^{53} +(-11.0653 - 6.38856i) q^{54} +(-3.60218 - 6.23916i) q^{55} +(0.707090 - 2.54951i) q^{56} -3.11956i q^{57} +4.27374i q^{58} +(3.09394 - 1.78629i) q^{59} +(-9.23259 - 5.33044i) q^{60} -4.07631 q^{61} +(0.412798 + 0.714987i) q^{62} +(17.9325 + 4.97345i) q^{63} -1.00000 q^{64} +(9.65470 + 7.35128i) q^{65} +(3.39026 - 5.87211i) q^{66} +0.368677i q^{67} +(2.38022 - 4.12266i) q^{68} +(-5.04865 + 8.74453i) q^{69} +(8.58065 + 2.37978i) q^{70} +(-0.525851 - 0.303600i) q^{71} -7.03369i q^{72} +(-5.58833 - 3.22642i) q^{73} +(4.31654 + 7.47646i) q^{74} +(10.0211 - 17.3571i) q^{75} +(0.852891 - 0.492417i) q^{76} +(-1.51359 + 5.45746i) q^{77} +(-1.44850 + 11.3287i) q^{78} +(4.91689 + 8.51630i) q^{79} -3.36560i q^{80} +19.3717 q^{81} -3.30333 q^{82} -10.7180i q^{83} +(2.09822 + 8.11377i) q^{84} +(13.8752 + 8.01087i) q^{85} +(4.75362 - 2.74451i) q^{86} +(-6.76875 - 11.7238i) q^{87} +2.14059 q^{88} +(-4.30275 - 2.48419i) q^{89} +23.6726 q^{90} +(-1.19769 - 9.46391i) q^{91} -3.18768 q^{92} +(-2.26479 - 1.30758i) q^{93} -4.02219 q^{94} +(1.65728 + 2.87049i) q^{95} +(2.74322 - 1.58380i) q^{96} +(10.0273 + 5.78928i) q^{97} +(-3.39346 - 6.12245i) q^{98} +15.0562i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 4 q^{3} + 10 q^{4} - 2 q^{7} + 32 q^{9} + 8 q^{10} - 2 q^{12} + 6 q^{13} - 4 q^{14} - 12 q^{15} - 10 q^{16} - 10 q^{17} - 24 q^{18} + 14 q^{21} + 2 q^{22} + 18 q^{25} - 6 q^{26} - 28 q^{27} - 4 q^{28}+ \cdots + 12 q^{98}+O(q^{100}) $ 20 * q - 4 * q^3 + 10 * q^4 - 2 * q^7 + 32 * q^9 + 8 * q^10 - 2 * q^12 + 6 * q^13 - 4 * q^14 - 12 * q^15 - 10 * q^16 - 10 * q^17 - 24 * q^18 + 14 * q^21 + 2 * q^22 + 18 * q^25 - 6 * q^26 - 28 * q^27 - 4 * q^28 + 2 * q^29 + 4 * q^30 + 6 * q^31 - 36 * q^35 + 16 * q^36 - 36 * q^37 - 14 * q^38 - 26 * q^39 + 4 * q^40 + 18 * q^41 - 4 * q^42 + 8 * q^43 - 6 * q^44 - 60 * q^45 + 12 * q^46 - 18 * q^47 + 2 * q^48 - 12 * q^50 - 22 * q^51 - 4 * q^53 - 18 * q^54 + 2 * q^55 - 2 * q^56 - 12 * q^60 + 8 * q^61 - 24 * q^62 + 64 * q^63 - 20 * q^64 - 18 * q^65 + 32 * q^66 + 10 * q^68 - 34 * q^69 + 48 * q^70 - 18 * q^71 + 72 * q^73 + 12 * q^74 - 18 * q^75 + 24 * q^76 + 42 * q^77 + 20 * q^78 + 42 * q^79 + 4 * q^81 + 32 * q^82 + 16 * q^84 - 12 * q^85 - 42 * q^86 - 64 * q^87 + 4 * q^88 - 18 * q^89 + 52 * q^90 + 60 * q^91 + 60 * q^93 - 32 * q^94 - 12 * q^95 + 78 * q^97 + 12 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/182\mathbb{Z}\right)^\times$.

$n$	$15$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$3$	3.16760			1.82881			0.914407	−	0.404795i	$-0.132657\pi$
$3$	3.16760			1.82881			0.914407	+	0.404795i	$0.132657\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−2.91470	+	1.68280i	−1.30349	+	0.752571i	−0.981001	−	0.194001i	$-0.937853\pi$
$5$	−2.91470	+	1.68280i	−1.30349	+	0.752571i	−0.322491	+	0.946573i	$0.604520\pi$
$6$	−2.74322	−	1.58380i	−1.11992	−	0.646584i
$7$	2.54951	+	0.707090i	0.963626	+	0.267255i
$7$	2.54951	+	0.707090i	0.963626	+	0.267255i
$8$		−	1.00000i		−	0.353553i
$9$	7.03369			2.34456
$10$	3.36560			1.06430
$11$			2.14059i			0.645411i	0.946499	+	0.322706i	$0.104592\pi$
$11$			2.14059i			0.645411i	−0.946499	+	0.322706i	$0.895408\pi$
$12$	1.58380	+	2.74322i	0.457204	+	0.791900i
$13$	−1.39219	−	3.32593i	−0.386125	−	0.922446i
$13$	−1.39219	−	3.32593i	−0.386125	−	0.922446i
$14$	−1.85440	−	1.88712i	−0.495609	−	0.504353i
$15$	−9.23259	+	5.33044i	−2.38385	+	1.37631i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−2.38022	−	4.12266i	−0.577288	−	0.999892i	−0.995789	−	0.0916759i	$-0.970778\pi$
$17$	−2.38022	−	4.12266i	−0.577288	−	0.999892i	0.418501	−	0.908216i	$-0.362556\pi$
$18$	−6.09135	−	3.51684i	−1.43575	−	0.828928i
$19$		−	0.984833i		−	0.225936i	−0.993599	−	0.112968i	$-0.963964\pi$
$19$		−	0.984833i		−	0.225936i	0.993599	−	0.112968i	$-0.0360358\pi$
$20$	−2.91470	−	1.68280i	−0.651746	−	0.376286i
$21$	8.07584	+	2.23978i	1.76229	+	0.488760i
$22$	1.07029	−	1.85380i	0.228187	−	0.395232i
$23$	−1.59384	+	2.76062i	−0.332339	+	0.575628i	−0.982970	−	0.183766i	$-0.941171\pi$
$23$	−1.59384	+	2.76062i	−0.332339	+	0.575628i	0.650631	+	0.759394i	$0.274505\pi$
$24$		−	3.16760i		−	0.646584i
$25$	3.16364	−	5.47958i	0.632727	−	1.09592i
$26$	−0.457288	+	3.57644i	−0.0896815	+	0.701397i
$27$	12.7771			2.45896
$28$	0.662399	+	2.56149i	0.125182	+	0.484076i
$29$	−2.13687	−	3.70117i	−0.396807	−	0.687290i	0.596523	−	0.802596i	$-0.296548\pi$
$29$	−2.13687	−	3.70117i	−0.396807	−	0.687290i	−0.993330	+	0.115306i	$0.963215\pi$
$30$	10.6609			1.94640
$31$	−0.714987	−	0.412798i	−0.128415	−	0.0741407i	0.434416	−	0.900712i	$-0.356955\pi$
$31$	−0.714987	−	0.412798i	−0.128415	−	0.0741407i	−0.562832	+	0.826572i	$0.690288\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$			6.78052i			1.18034i
$34$			4.76044i			0.816409i
$35$	−8.62095	+	2.22937i	−1.45721	+	0.376833i
$36$	3.51684	+	6.09135i	0.586141	+	1.01523i
$37$	−7.47646	−	4.31654i	−1.22912	−	0.709635i	−0.262277	−	0.964993i	$-0.584473\pi$
$37$	−7.47646	−	4.31654i	−1.22912	−	0.709635i	−0.966847	+	0.255358i	$0.917807\pi$
$38$	−0.492417	+	0.852891i	−0.0798805	+	0.138357i
$39$	−4.40992	−	10.5352i	−0.706152	−	1.68698i
$40$	1.68280	+	2.91470i	0.266074	+	0.460854i
$41$	2.86076	−	1.65166i	0.446776	−	0.257946i	−0.259692	−	0.965692i	$-0.583621\pi$
$41$	2.86076	−	1.65166i	0.446776	−	0.257946i	0.706468	+	0.707745i	$0.250288\pi$
$42$	−5.87400	−	5.97763i	−0.906377	−	0.922368i
$43$	−2.74451	+	4.75362i	−0.418533	+	0.724921i	−0.995792	−	0.0916402i	$-0.970789\pi$
$43$	−2.74451	+	4.75362i	−0.418533	+	0.724921i	0.577259	+	0.816561i	$0.304122\pi$
$44$	−1.85380	+	1.07029i	−0.279471	+	0.161353i
$45$	−20.5011	+	11.8363i	−3.05612	+	1.76445i
$46$	2.76062	−	1.59384i	0.407031	−	0.234999i
$47$	3.48332	−	2.01109i	0.508094	−	0.293348i	−0.223956	−	0.974599i	$-0.571897\pi$
$47$	3.48332	−	2.01109i	0.508094	−	0.293348i	0.732050	+	0.681251i	$0.238564\pi$
$48$	−1.58380	+	2.74322i	−0.228602	+	0.395950i
$49$	6.00005	+	3.60547i	0.857150	+	0.515067i
$50$	−5.47958	+	3.16364i	−0.774930	+	0.447406i
$51$	−7.53958	−	13.0589i	−1.05575	−	1.82862i
$52$	2.18424	−	2.86864i	0.302900	−	0.397809i
$53$	−6.53907	+	11.3260i	−0.898210	+	1.55574i	−0.0684287	+	0.997656i	$0.521799\pi$
$53$	−6.53907	+	11.3260i	−0.898210	+	1.55574i	−0.829781	+	0.558089i	$0.811535\pi$
$54$	−11.0653	−	6.38856i	−1.50580	−	0.869372i
$55$	−3.60218	−	6.23916i	−0.485718	−	0.841289i
$56$	0.707090	−	2.54951i	0.0944889	−	0.340693i
$57$		−	3.11956i		−	0.413196i
$58$			4.27374i			0.561170i
$59$	3.09394	−	1.78629i	0.402796	−	0.232555i	−0.284893	−	0.958559i	$-0.591958\pi$
$59$	3.09394	−	1.78629i	0.402796	−	0.232555i	0.687690	+	0.726005i	$0.258625\pi$
$60$	−9.23259	−	5.33044i	−1.19192	−	0.688157i
$61$	−4.07631			−0.521918			−0.260959	−	0.965350i	$-0.584039\pi$
$61$	−4.07631			−0.521918			−0.260959	+	0.965350i	$0.584039\pi$
$62$	0.412798	+	0.714987i	0.0524254	+	0.0908034i
$63$	17.9325	+	4.97345i	2.25928	+	0.626596i
$64$	−1.00000			−0.125000
$65$	9.65470	+	7.35128i	1.19752	+	0.911814i
$66$	3.39026	−	5.87211i	0.417312	−	0.722806i
$67$			0.368677i			0.0450411i	0.999746	+	0.0225205i	$0.00716911\pi$
$67$			0.368677i			0.0450411i	−0.999746	+	0.0225205i	$0.992831\pi$
$68$	2.38022	−	4.12266i	0.288644	−	0.499946i
$69$	−5.04865	+	8.74453i	−0.607787	+	1.05272i
$70$	8.58065	+	2.37978i	1.02558	+	0.284438i
$71$	−0.525851	−	0.303600i	−0.0624070	−	0.0360307i	0.468472	−	0.883478i	$-0.344805\pi$
$71$	−0.525851	−	0.303600i	−0.0624070	−	0.0360307i	−0.530879	+	0.847448i	$0.678138\pi$
$72$		−	7.03369i		−	0.828928i
$73$	−5.58833	−	3.22642i	−0.654064	−	0.377624i	0.135947	−	0.990716i	$-0.456592\pi$
$73$	−5.58833	−	3.22642i	−0.654064	−	0.377624i	−0.790012	+	0.613092i	$0.789926\pi$
$74$	4.31654	+	7.47646i	0.501787	+	0.869121i
$75$	10.0211	−	17.3571i	1.15714	−	2.00423i
$76$	0.852891	−	0.492417i	0.0978333	−	0.0564841i
$77$	−1.51359	+	5.45746i	−0.172489	+	0.621935i
$78$	−1.44850	+	11.3287i	−0.164011	+	1.28272i
$79$	4.91689	+	8.51630i	0.553193	+	0.958159i	0.998042	+	0.0625529i	$0.0199242\pi$
$79$	4.91689	+	8.51630i	0.553193	+	0.958159i	−0.444848	+	0.895606i	$0.646742\pi$
$80$		−	3.36560i		−	0.376286i
$81$	19.3717			2.15241
$82$	−3.30333			−0.364791
$83$		−	10.7180i		−	1.17646i	−0.808694	−	0.588229i	$-0.799825\pi$
$83$		−	10.7180i		−	1.17646i	0.808694	−	0.588229i	$-0.200175\pi$
$84$	2.09822	+	8.11377i	0.228934	+	0.885285i
$85$	13.8752	+	8.01087i	1.50498	+	0.868901i
$86$	4.75362	−	2.74451i	0.512597	−	0.295948i
$87$	−6.76875	−	11.7238i	−0.725686	−	1.25693i
$88$	2.14059			0.228187
$89$	−4.30275	−	2.48419i	−0.456090	−	0.263324i	0.254309	−	0.967123i	$-0.418152\pi$
$89$	−4.30275	−	2.48419i	−0.456090	−	0.263324i	−0.710399	+	0.703799i	$0.751485\pi$
$90$	23.6726			2.49531
$91$	−1.19769	−	9.46391i	−0.125552	−	0.992087i
$92$	−3.18768			−0.332339
$93$	−2.26479	−	1.30758i	−0.234848	−	0.135590i
$94$	−4.02219			−0.414857
$95$	1.65728	+	2.87049i	0.170033	+	0.294506i
$96$	2.74322	−	1.58380i	0.279979	−	0.161646i
$97$	10.0273	+	5.78928i	1.01812	+	0.587812i	0.913559	−	0.406706i	$-0.133323\pi$
$97$	10.0273	+	5.78928i	1.01812	+	0.587812i	0.104562	+	0.994518i	$0.466656\pi$
$98$	−3.39346	−	6.12245i	−0.342791	−	0.618461i
$99$			15.0562i			1.51321i
$100$	6.32727			0.632727
$101$	6.19195			0.616122			0.308061	−	0.951367i	$-0.400320\pi$
$101$	6.19195			0.616122			0.308061	+	0.951367i	$0.400320\pi$
$102$			15.0792i			1.49306i
$103$	1.65345	+	2.86387i	0.162920	+	0.282185i	0.935915	−	0.352227i	$-0.114576\pi$
$103$	1.65345	+	2.86387i	0.162920	+	0.282185i	−0.772995	+	0.634412i	$0.781242\pi$
$104$	−3.32593	+	1.39219i	−0.326134	+	0.136516i
$105$	−27.3077	+	7.06176i	−2.66496	+	0.689157i
$106$	11.3260	−	6.53907i	1.10008	−	0.635130i
$107$	5.09798	−	8.82996i	0.492840	−	0.853625i	−0.507126	−	0.861872i	$-0.669292\pi$
$107$	5.09798	−	8.82996i	0.492840	−	0.853625i	0.999966	+	0.00824751i	$0.00262529\pi$
$108$	6.38856	+	11.0653i	0.614739	+	1.06476i
$109$	6.46841	+	3.73454i	0.619562	+	0.357704i	0.776698	−	0.629873i	$-0.216893\pi$
$109$	6.46841	+	3.73454i	0.619562	+	0.357704i	−0.157137	+	0.987577i	$0.550226\pi$
$110$			7.20436i			0.686909i
$111$	−23.6824	−	13.6731i	−2.24784	−	1.29779i
$112$	−1.88712	+	1.85440i	−0.178316	+	0.175224i
$113$	1.05003	−	1.81870i	0.0987784	−	0.171089i	−0.812401	−	0.583099i	$-0.801840\pi$
$113$	1.05003	−	1.81870i	0.0987784	−	0.171089i	0.911179	+	0.412010i	$0.135173\pi$
$114$	−1.55978	+	2.70162i	−0.146087	+	0.253030i
$115$		−	10.7285i		−	1.00044i
$116$	2.13687	−	3.70117i	0.198404	−	0.343645i
$117$	−9.79226	−	23.3935i	−0.905295	−	2.16273i
$118$	−3.57257			−0.328882
$119$	−3.15331	−	12.1938i	−0.289064	−	1.11781i
$120$	5.33044	+	9.23259i	0.486600	+	0.842817i
$121$	6.41789			0.583444
$122$	3.53019	+	2.03816i	0.319608	+	0.184526i
$123$	9.06175	−	5.23181i	0.817071	−	0.471736i
$124$		−	0.825595i		−	0.0741407i
$125$			4.46708i			0.399548i
$126$	−13.0433	−	13.2734i	−1.16199	−	1.18249i
$127$	−2.09804	−	3.63391i	−0.186171	−	0.322458i	0.757800	−	0.652487i	$-0.226275\pi$
$127$	−2.09804	−	3.63391i	−0.186171	−	0.322458i	−0.943970	+	0.330030i	$0.892941\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	−8.69350	+	15.0576i	−0.765420	+	1.32575i
$130$	−4.68557	−	11.1937i	−0.410952	−	0.981757i
$131$	5.19800	+	9.00321i	0.454152	+	0.786614i	0.998639	−	0.0521552i	$-0.0166091\pi$
$131$	5.19800	+	9.00321i	0.454152	+	0.786614i	−0.544487	+	0.838769i	$0.683276\pi$
$132$	−5.87211	+	3.39026i	−0.511101	+	0.295084i
$133$	0.696366	−	2.51085i	0.0603826	−	0.217718i
$134$	0.184338	−	0.319284i	0.0159244	−	0.0275819i
$135$	−37.2414	+	21.5013i	−3.20523	+	1.85054i
$136$	−4.12266	+	2.38022i	−0.353515	+	0.204102i
$137$	−8.90891	+	5.14356i	−0.761140	+	0.439444i	−0.829705	−	0.558202i	$-0.811491\pi$
$137$	−8.90891	+	5.14356i	−0.761140	+	0.439444i	0.0685651	+	0.997647i	$0.478158\pi$
$138$	8.74453	−	5.04865i	0.744384	−	0.429770i
$139$	−5.72470	+	9.91547i	−0.485563	+	0.841019i	−0.999862	−	0.0165912i	$-0.994719\pi$
$139$	−5.72470	+	9.91547i	−0.485563	+	0.841019i	0.514300	+	0.857611i	$0.328052\pi$
$140$	−6.24117	−	6.35128i	−0.527475	−	0.536781i
$141$	11.0337	−	6.37034i	0.929209	−	0.536479i
$142$	0.303600	+	0.525851i	0.0254776	+	0.0441284i
$143$	7.11944	−	2.98011i	0.595357	−	0.249210i
$144$	−3.51684	+	6.09135i	−0.293070	+	0.507613i
$145$	12.4567	+	7.19186i	1.03447	+	0.597251i
$146$	3.22642	+	5.58833i	0.267021	+	0.462493i
$147$	19.0058	+	11.4207i	1.56757	+	0.941963i
$148$		−	8.63308i		−	0.709635i
$149$			17.4230i			1.42734i	0.700480	+	0.713672i	$0.252969\pi$
$149$			17.4230i			1.42734i	−0.700480	+	0.713672i	$0.747031\pi$
$150$	−17.3571	+	10.0211i	−1.41720	+	0.818222i
$151$	11.2371	+	6.48773i	0.914460	+	0.527964i	0.881864	−	0.471505i	$-0.156289\pi$
$151$	11.2371	+	6.48773i	0.914460	+	0.527964i	0.0325967	+	0.999469i	$0.489622\pi$
$152$	−0.984833			−0.0798805
$153$	−16.7417	−	28.9975i	−1.35349	−	2.34431i
$154$	4.03953	−	3.96950i	0.325515	−	0.319872i
$155$	2.77863			0.223185
$156$	6.91880	−	9.08670i	0.553947	−	0.727518i
$157$	12.1933	−	21.1193i	0.973127	−	1.68551i	0.287146	−	0.957887i	$-0.407293\pi$
$157$	12.1933	−	21.1193i	0.973127	−	1.68551i	0.685981	−	0.727619i	$-0.259373\pi$
$158$		−	9.83378i		−	0.782333i
$159$	−20.7131	+	35.8762i	−1.64266	+	2.84517i
$160$	−1.68280	+	2.91470i	−0.133037	+	0.230427i
$161$	−6.01553	+	5.91124i	−0.474090	+	0.465871i
$162$	−16.7764	−	9.68586i	−1.31808	−	0.760993i
$163$			13.2827i			1.04038i	0.854049	+	0.520192i	$0.174140\pi$
$163$			13.2827i			1.04038i	−0.854049	+	0.520192i	$0.825860\pi$
$164$	2.86076	+	1.65166i	0.223388	+	0.128973i
$165$	−11.4103	−	19.7632i	−0.888288	−	1.53856i
$166$	−5.35902	+	9.28210i	−0.415941	+	0.720430i
$167$	15.4031	−	8.89300i	1.19193	−	0.688161i	0.233186	−	0.972432i	$-0.425085\pi$
$167$	15.4031	−	8.89300i	1.19193	−	0.688161i	0.958744	+	0.284271i	$0.0917516\pi$
$168$	2.23978	−	8.07584i	0.172803	−	0.623065i
$169$	−9.12359	+	9.26068i	−0.701814	+	0.712360i
$170$	−8.01087	−	13.8752i	−0.614406	−	1.06418i
$171$		−	6.92701i		−	0.529722i
$172$	−5.48901			−0.418533
$173$	−5.88247			−0.447236			−0.223618	−	0.974677i	$-0.571787\pi$
$173$	−5.88247			−0.447236			−0.223618	+	0.974677i	$0.571787\pi$
$174$			13.5375i			1.02628i
$175$	11.9403	−	11.7333i	0.902601	−	0.886954i
$176$	−1.85380	−	1.07029i	−0.139736	−	0.0806764i
$177$	9.80036	−	5.65824i	0.736640	−	0.425299i
$178$	2.48419	+	4.30275i	0.186198	+	0.322505i
$179$	−9.89122			−0.739304			−0.369652	−	0.929170i	$-0.620523\pi$
$179$	−9.89122			−0.739304			−0.369652	+	0.929170i	$0.620523\pi$
$180$	−20.5011	−	11.8363i	−1.52806	−	0.882226i
$181$	−19.7017			−1.46442			−0.732209	−	0.681080i	$-0.761511\pi$
$181$	−19.7017			−1.46442			−0.732209	+	0.681080i	$0.761511\pi$
$182$	−3.69472	+	8.79483i	−0.273871	+	0.651916i
$183$	−12.9121			−0.954492
$184$	2.76062	+	1.59384i	0.203515	+	0.117500i
$185$	29.0555			2.13620
$186$	1.30758	+	2.26479i	0.0958763	+	0.166063i
$187$	8.82492	−	5.09507i	0.645342	−	0.372588i
$188$	3.48332	+	2.01109i	0.254047	+	0.146674i
$189$	32.5754	+	9.03457i	2.36951	+	0.657168i
$190$		−	3.31456i		−	0.240463i
$191$	16.1748			1.17037			0.585184	−	0.810901i	$-0.301022\pi$
$191$	16.1748			1.17037			0.585184	+	0.810901i	$0.301022\pi$
$192$	−3.16760			−0.228602
$193$			14.4530i			1.04035i	0.854059	+	0.520176i	$0.174134\pi$
$193$			14.4530i			1.04035i	−0.854059	+	0.520176i	$0.825866\pi$
$194$	−5.78928	−	10.0273i	−0.415646	−	0.719920i
$195$	30.5822	+	23.2859i	2.19004	+	1.66754i
$196$	−0.122406	+	6.99893i	−0.00874329	+	0.499924i
$197$	16.4684	−	9.50802i	1.17332	−	0.677419i	0.218863	−	0.975756i	$-0.429765\pi$
$197$	16.4684	−	9.50802i	1.17332	−	0.677419i	0.954461	+	0.298337i	$0.0964319\pi$
$198$	7.52811	−	13.0391i	0.535000	−	0.926647i
$199$	−0.812870	−	1.40793i	−0.0576228	−	0.0998056i	0.835775	−	0.549072i	$-0.185019\pi$
$199$	−0.812870	−	1.40793i	−0.0576228	−	0.0998056i	−0.893398	+	0.449266i	$0.851685\pi$
$200$	−5.47958	−	3.16364i	−0.387465	−	0.223703i
$201$			1.16782i			0.0823717i
$202$	−5.36239	−	3.09598i	−0.377296	−	0.217832i
$203$	−2.83092	−	10.9471i	−0.198692	−	0.768339i
$204$	7.53958	−	13.0589i	0.527876	−	0.914309i
$205$	−5.55884	+	9.62819i	−0.388246	+	0.672462i
$206$		−	3.30691i		−	0.230403i
$207$	−11.2106	+	19.4173i	−0.779190	+	1.34960i
$208$	3.57644	+	0.457288i	0.247981	+	0.0317072i
$209$	2.10812			0.145822
$210$	27.1801	+	7.53820i	1.87560	+	0.520185i
$211$	−9.03133	−	15.6427i	−0.621742	−	1.07689i	−0.989161	−	0.146834i	$-0.953092\pi$
$211$	−9.03133	−	15.6427i	−0.621742	−	1.07689i	0.367419	−	0.930056i	$-0.380242\pi$
$212$	−13.0781			−0.898210
$213$	−1.66568	−	0.961684i	−0.114131	−	0.0658935i
$214$	−8.82996	+	5.09798i	−0.603604	+	0.348491i
$215$		−	18.4738i		−	1.25990i
$216$		−	12.7771i		−	0.869372i
$217$	−1.53098	−	1.55799i	−0.103930	−	0.105763i
$218$	−3.73454	−	6.46841i	−0.252935	−	0.438096i
$219$	−17.7016	−	10.2200i	−1.19616	−	0.690605i
$220$	3.60218	−	6.23916i	0.242859	−	0.420644i
$221$	−10.3979	+	13.6560i	−0.699441	+	0.918601i
$222$	13.6731	+	23.6824i	0.917676	+	1.58946i
$223$	−20.8994	+	12.0663i	−1.39953	+	0.808017i	−0.994343	−	0.106218i	$-0.966126\pi$
$223$	−20.8994	+	12.0663i	−1.39953	+	0.808017i	−0.405184	+	0.914235i	$0.632793\pi$
$224$	2.56149	−	0.662399i	0.171147	−	0.0442584i
$225$	22.2520	−	38.5417i	1.48347	−	2.56944i
$226$	−1.81870	+	1.05003i	−0.120978	+	0.0698469i
$227$	−7.87201	+	4.54491i	−0.522484	+	0.301656i	−0.737950	−	0.674855i	$-0.764206\pi$
$227$	−7.87201	+	4.54491i	−0.522484	+	0.301656i	0.215467	+	0.976511i	$0.430873\pi$
$228$	2.70162	−	1.55978i	0.178919	−	0.103299i
$229$	−5.48750	+	3.16821i	−0.362624	+	0.209361i	−0.670231	−	0.742152i	$-0.733805\pi$
$229$	−5.48750	+	3.16821i	−0.362624	+	0.209361i	0.307607	+	0.951513i	$0.400472\pi$
$230$	−5.36424	+	9.29113i	−0.353707	+	0.612639i
$231$	−4.79444	+	17.2870i	−0.315451	+	1.13740i
$232$	−3.70117	+	2.13687i	−0.242994	+	0.140292i
$233$	−8.56151	−	14.8290i	−0.560883	−	0.971479i	−0.997420	−	0.0717919i	$-0.977128\pi$
$233$	−8.56151	−	14.8290i	−0.560883	−	0.971479i	0.436536	−	0.899687i	$-0.356205\pi$
$234$	−3.21642	+	25.1555i	−0.210264	+	1.64447i
$235$	−6.76854	+	11.7235i	−0.441531	+	0.764754i
$236$	3.09394	+	1.78629i	0.201398	+	0.116277i
$237$	15.5747	+	26.9762i	1.01169	+	1.75229i
$238$	−3.36606	+	12.1368i	−0.218189	+	0.786713i
$239$		−	18.3950i		−	1.18987i	−0.803772	−	0.594937i	$-0.797177\pi$
$239$		−	18.3950i		−	1.18987i	0.803772	−	0.594937i	$-0.202823\pi$
$240$		−	10.6609i		−	0.688157i
$241$	−14.2664	+	8.23670i	−0.918979	+	0.530573i	−0.883309	−	0.468791i	$-0.844690\pi$
$241$	−14.2664	+	8.23670i	−0.918979	+	0.530573i	−0.0356697	+	0.999364i	$0.511356\pi$
$242$	−5.55805	−	3.20894i	−0.357285	−	0.206279i
$243$	23.0305			1.47741
$244$	−2.03816	−	3.53019i	−0.130480	−	0.225997i
$245$	−23.5556	−	0.411970i	−1.50491	−	0.0263198i
$246$	−10.4636			−0.667136
$247$	−3.27548	+	1.37108i	−0.208414	+	0.0872397i
$248$	−0.412798	+	0.714987i	−0.0262127	+	0.0454017i
$249$		−	33.9505i		−	2.15152i
$250$	2.23354	−	3.86860i	0.141261	−	0.244672i
$251$	−11.3118	+	19.5926i	−0.713993	+	1.23667i	0.249354	+	0.968412i	$0.419782\pi$
$251$	−11.3118	+	19.5926i	−0.713993	+	1.23667i	−0.963347	+	0.268259i	$0.913552\pi$
$252$	4.65911	+	18.0167i	0.293496	+	1.13495i
$253$	−5.90934	−	3.41176i	−0.371517	−	0.214495i
$254$			4.19608i			0.263286i
$255$	43.9512	+	25.3752i	2.75233	+	1.58906i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−5.10320	+	8.83901i	−0.318329	+	0.551362i	−0.980140	−	0.198309i	$-0.936455\pi$
$257$	−5.10320	+	8.83901i	−0.318329	+	0.551362i	0.661811	+	0.749671i	$0.269788\pi$
$258$	15.0576	−	8.69350i	0.937444	−	0.541234i
$259$	−16.0092	−	16.2916i	−0.994762	−	1.01231i
$260$	−1.53905	+	12.0369i	−0.0954478	+	0.746494i
$261$	−15.0301	−	26.0329i	−0.930339	−	1.61139i
$262$		−	10.3960i		−	0.642268i
$263$	17.9334			1.10582			0.552911	−	0.833240i	$-0.313517\pi$
$263$	17.9334			1.10582			0.552911	+	0.833240i	$0.313517\pi$
$264$	6.78052			0.417312
$265$		−	44.0158i		−	2.70387i
$266$	−1.85849	+	1.82627i	−0.113952	+	0.111976i
$267$	−13.6294	−	7.86893i	−0.834105	−	0.481571i
$268$	−0.319284	+	0.184338i	−0.0195033	+	0.0112603i
$269$	14.5400	+	25.1841i	0.886522	+	1.53550i	0.843959	+	0.536408i	$0.180219\pi$
$269$	14.5400	+	25.1841i	0.886522	+	1.53550i	0.0425633	+	0.999094i	$0.486448\pi$
$270$	43.0027			2.61706
$271$	−4.79671	−	2.76938i	−0.291379	−	0.168228i	0.347184	−	0.937797i	$-0.387138\pi$
$271$	−4.79671	−	2.76938i	−0.291379	−	0.168228i	−0.638564	+	0.769569i	$0.720471\pi$
$272$	4.76044			0.288644
$273$	−3.79381	−	29.9779i	−0.229612	−	1.81434i
$274$	10.2871			0.621468
$275$	11.7295	+	6.77204i	0.707317	+	0.408370i
$276$	−10.0973			−0.607787
$277$	−1.53567	−	2.65986i	−0.0922696	−	0.159816i	0.816196	−	0.577775i	$-0.196079\pi$
$277$	−1.53567	−	2.65986i	−0.0922696	−	0.159816i	−0.908466	+	0.417959i	$0.862745\pi$
$278$	9.91547	−	5.72470i	0.594691	−	0.343345i
$279$	−5.02899	−	2.90349i	−0.301078	−	0.173827i
$280$	2.22937	+	8.62095i	0.133231	+	0.515200i
$281$			28.7901i			1.71747i	0.512419	+	0.858735i	$0.328749\pi$
$281$			28.7901i			1.71747i	−0.512419	+	0.858735i	$0.671251\pi$
$282$	−12.7407			−0.758696
$283$	0.293094			0.0174226			0.00871132	−	0.999962i	$-0.497227\pi$
$283$	0.293094			0.0174226			0.00871132	+	0.999962i	$0.497227\pi$
$284$		−	0.607200i		−	0.0360307i
$285$	5.24959	+	9.09257i	0.310959	+	0.538597i
$286$	−7.65567	−	0.978865i	−0.452689	−	0.0578815i
$287$	8.46143	−	2.18812i	0.499463	−	0.129161i
$288$	6.09135	−	3.51684i	0.358936	−	0.207232i
$289$	−2.83089	+	4.90325i	−0.166523	+	0.288427i
$290$	−7.19186	−	12.4567i	−0.422320	−	0.731480i
$291$	31.7626	+	18.3381i	1.86195	+	1.07500i
$292$		−	6.45285i		−	0.377624i
$293$	20.3451	+	11.7463i	1.18857	+	0.686223i	0.957982	−	0.286827i	$-0.0926006\pi$
$293$	20.3451	+	11.7463i	1.18857	+	0.686223i	0.230591	+	0.973051i	$0.425934\pi$
$294$	−10.7491	−	19.3935i	−0.626901	−	1.13105i
$295$	−6.01193	+	10.4130i	−0.350028	+	0.606266i
$296$	−4.31654	+	7.47646i	−0.250894	+	0.434561i
$297$			27.3505i			1.58704i
$298$	8.71148	−	15.0887i	0.504642	−	0.874066i
$299$	11.4005	+	1.45769i	0.659311	+	0.0843004i
$300$	20.0423			1.15714
$301$	−10.3584	+	10.1788i	−0.597048	+	0.586698i
$302$	−6.48773	−	11.2371i	−0.373327	−	0.646621i
$303$	19.6136			1.12677
$304$	0.852891	+	0.492417i	0.0489166	+	0.0282420i
$305$	11.8812	−	6.85962i	0.680316	−	0.392781i
$306$			33.4835i			1.91412i
$307$		−	9.44232i		−	0.538902i	−0.963014	−	0.269451i	$-0.913158\pi$
$307$		−	9.44232i		−	0.538902i	0.963014	−	0.269451i	$-0.0868422\pi$
$308$	−5.48309	+	1.41792i	−0.312428	+	0.0807937i
$309$	5.23748	+	9.07158i	0.297950	+	0.516064i
$310$	−2.40636	−	1.38931i	−0.136672	−	0.0789077i
$311$	2.74671	−	4.75744i	0.155752	−	0.269770i	−0.777581	−	0.628783i	$-0.783553\pi$
$311$	2.74671	−	4.75744i	0.155752	−	0.269770i	0.933332	+	0.359013i	$0.116887\pi$
$312$	−10.5352	+	4.40992i	−0.596439	+	0.249662i
$313$	−5.58079	−	9.66620i	−0.315445	−	0.546366i	0.664087	−	0.747655i	$-0.268820\pi$
$313$	−5.58079	−	9.66620i	−0.315445	−	0.546366i	−0.979532	+	0.201289i	$0.935487\pi$
$314$	−21.1193	+	12.1933i	−1.19183	+	0.688105i
$315$	−60.6371	+	15.6807i	−3.41651	+	0.883508i
$316$	−4.91689	+	8.51630i	−0.276597	+	0.479079i
$317$	2.14518	−	1.23852i	0.120486	−	0.0695624i	−0.438546	−	0.898709i	$-0.644506\pi$
$317$	2.14518	−	1.23852i	0.120486	−	0.0695624i	0.559032	+	0.829146i	$0.311173\pi$
$318$	35.8762	−	20.7131i	2.01184	−	1.16154i
$319$	7.92268	−	4.57416i	0.443585	−	0.256104i
$320$	2.91470	−	1.68280i	0.162936	−	0.0940714i
$321$	16.1484	−	27.9698i	0.901314	−	1.56112i
$322$	8.16522	−	2.11152i	0.455030	−	0.117670i
$323$	−4.06013	+	2.34412i	−0.225912	+	0.130430i
$324$	9.68586	+	16.7764i	0.538103	+	0.932022i
$325$	−22.6291	−	2.89339i	−1.25524	−	0.160496i
$326$	6.64137	−	11.5032i	0.367831	−	0.637103i
$327$	20.4893	+	11.8295i	1.13306	+	0.654174i
$328$	−1.65166	−	2.86076i	−0.0911978	−	0.157959i
$329$	10.3028	−	2.66429i	0.568011	−	0.146887i
$330$			22.8205i			1.25623i
$331$			18.4740i			1.01543i	0.861526	+	0.507713i	$0.169509\pi$
$331$			18.4740i			1.01543i	−0.861526	+	0.507713i	$0.830491\pi$
$332$	9.28210	−	5.35902i	0.509421	−	0.294114i
$333$	−52.5871	−	30.3612i	−2.88176	−	1.66378i
$334$	−17.7860			−0.973207
$335$	−0.620410	−	1.07458i	−0.0338966	−	0.0587107i
$336$	−5.97763	+	5.87400i	−0.326106	+	0.320453i
$337$	20.2662			1.10397			0.551984	−	0.833855i	$-0.313871\pi$
$337$	20.2662			1.10397			0.551984	+	0.833855i	$0.313871\pi$
$338$	12.5316	−	3.45819i	0.681629	−	0.188101i
$339$	3.32607	−	5.76092i	0.180647	−	0.312890i
$340$			16.0217i			0.868901i
$341$	0.883630	−	1.53049i	0.0478512	−	0.0828808i
$342$	−3.46351	+	5.99897i	−0.187285	+	0.324387i
$343$	12.7478	+	13.4348i	0.688317	+	0.725410i
$344$	4.75362	+	2.74451i	0.256298	+	0.147974i
$345$		−	33.9835i		−	1.82961i
$346$	5.09437	+	2.94124i	0.273875	+	0.158122i
$347$	−3.47239	−	6.01435i	−0.186408	−	0.322867i	0.757642	−	0.652670i	$-0.226351\pi$
$347$	−3.47239	−	6.01435i	−0.186408	−	0.322867i	−0.944050	+	0.329803i	$0.893018\pi$
$348$	6.76875	−	11.7238i	0.362843	−	0.628463i
$349$	1.83312	−	1.05835i	0.0981249	−	0.0566524i	−0.450135	−	0.892961i	$-0.648624\pi$
$349$	1.83312	−	1.05835i	0.0981249	−	0.0566524i	0.548259	+	0.836308i	$0.315291\pi$
$350$	−16.2072	+	4.19118i	−0.866314	+	0.224028i
$351$	−17.7882	−	42.4958i	−0.949465	−	2.26826i
$352$	1.07029	+	1.85380i	0.0570468	+	0.0988080i
$353$			7.68461i			0.409010i	0.978865	+	0.204505i	$0.0655585\pi$
$353$			7.68461i			0.409010i	−0.978865	+	0.204505i	$0.934441\pi$
$354$	−11.3165			−0.601464
$355$	2.04359			0.108463
$356$		−	4.96839i		−	0.263324i
$357$	−9.98843	−	38.6251i	−0.528644	−	2.04426i
$358$	8.56604	+	4.94561i	0.452730	+	0.261384i
$359$	−8.13458	+	4.69650i	−0.429327	+	0.247872i	−0.699060	−	0.715063i	$-0.746398\pi$
$359$	−8.13458	+	4.69650i	−0.429327	+	0.247872i	0.269733	+	0.962935i	$0.413065\pi$
$360$	11.8363	+	20.5011i	0.623828	+	1.08050i
$361$	18.0301			0.948953
$362$	17.0622	+	9.85087i	0.896769	+	0.517750i
$363$	20.3293			1.06701
$364$	7.59714	−	5.76918i	0.398198	−	0.302387i
$365$	21.7177			1.13676
$366$	11.1822	+	6.45606i	0.584505	+	0.337464i
$367$	−28.8681			−1.50690			−0.753450	−	0.657505i	$-0.771612\pi$
$367$	−28.8681			−1.50690			−0.753450	+	0.657505i	$0.771612\pi$
$368$	−1.59384	−	2.76062i	−0.0830848	−	0.143907i
$369$	20.1217	−	11.6173i	1.04749	−	0.604772i
$370$	−25.1628	−	14.5278i	−1.30815	−	0.755262i
$371$	−24.6799	+	24.2521i	−1.28132	+	1.25911i
$372$		−	2.61516i		−	0.135590i
$373$	−21.7441			−1.12587			−0.562934	−	0.826502i	$-0.690327\pi$
$373$	−21.7441			−1.12587			−0.562934	+	0.826502i	$0.690327\pi$
$374$	−10.1901			−0.526919
$375$			14.1499i			0.730698i
$376$	−2.01109	−	3.48332i	−0.103714	−	0.179638i
$377$	−9.33488	+	12.2598i	−0.480771	+	0.631413i
$378$	−23.6939	−	24.1119i	−1.21868	−	1.24018i
$379$	−30.6531	+	17.6976i	−1.57455	+	0.909065i	−0.578946	+	0.815366i	$0.696536\pi$
$379$	−30.6531	+	17.6976i	−1.57455	+	0.909065i	−0.995601	+	0.0936990i	$0.970131\pi$
$380$	−1.65728	+	2.87049i	−0.0850166	+	0.147253i
$381$	−6.64575	−	11.5108i	−0.340472	−	0.589715i
$382$	−14.0078	−	8.08740i	−0.716701	−	0.413787i
$383$		−	7.78157i		−	0.397620i	−0.980038	−	0.198810i	$-0.936292\pi$
$383$		−	7.78157i		−	0.397620i	0.980038	−	0.198810i	$-0.0637076\pi$
$384$	2.74322	+	1.58380i	0.139989	+	0.0808230i
$385$	−4.77217	−	18.4539i	−0.243212	−	0.940498i
$386$	7.22652	−	12.5167i	0.367820	−	0.637083i
$387$	−19.3040	+	33.4355i	−0.981278	+	1.69962i
$388$			11.5786i			0.587812i
$389$	−4.37451	+	7.57687i	−0.221796	+	0.384162i	−0.955353	−	0.295465i	$-0.904525\pi$
$389$	−4.37451	+	7.57687i	−0.221796	+	0.384162i	0.733557	+	0.679628i	$0.237859\pi$
$390$	−14.8420	−	35.4573i	−0.751555	−	1.79545i
$391$	15.1748			0.767422
$392$	3.60547	−	6.00005i	0.182104	−	0.303048i
$393$	16.4652	+	28.5186i	0.830559	+	1.43857i
$394$	−19.0160			−0.958015
$395$	−28.6625	−	16.5483i	−1.44217	−	0.832635i
$396$	−13.0391	+	7.52811i	−0.655238	+	0.378302i
$397$		−	28.8249i		−	1.44668i	−0.690492	−	0.723340i	$-0.742606\pi$
$397$		−	28.8249i		−	1.44668i	0.690492	−	0.723340i	$-0.257394\pi$
$398$			1.62574i			0.0814909i
$399$	2.20581	−	7.95336i	0.110429	−	0.398166i
$400$	3.16364	+	5.47958i	0.158182	+	0.273979i
$401$	−0.884338	−	0.510573i	−0.0441618	−	0.0254968i	0.477757	−	0.878492i	$-0.341450\pi$
$401$	−0.884338	−	0.510573i	−0.0441618	−	0.0254968i	−0.521918	+	0.852995i	$0.674783\pi$
$402$	0.583911	−	1.01136i	0.0291228	−	0.0504422i
$403$	−0.377535	+	2.95269i	−0.0188063	+	0.147084i
$404$	3.09598	+	5.36239i	0.154031	+	0.266789i
$405$	−56.4627	+	32.5987i	−2.80565	+	1.61984i
$406$	−3.02192	+	10.8960i	−0.149975	+	0.540758i
$407$	9.23993	−	16.0040i	0.458006	−	0.793290i
$408$	−13.0589	+	7.53958i	−0.646514	+	0.373265i
$409$	−10.8725	+	6.27726i	−0.537612	+	0.310391i	−0.744111	−	0.668056i	$-0.767126\pi$
$409$	−10.8725	+	6.27726i	−0.537612	+	0.310391i	0.206498	+	0.978447i	$0.433793\pi$
$410$	9.62819	−	5.55884i	0.475502	−	0.274531i
$411$	−28.2199	+	16.2927i	−1.39198	+	0.803662i
$412$	−1.65345	+	2.86387i	−0.0814598	+	0.141093i
$413$	9.15110	−	2.36647i	0.450296	−	0.116446i
$414$	19.4173	−	11.2106i	0.954309	−	0.550971i
$415$	18.0363	+	31.2398i	0.885369	+	1.53350i
$416$	−2.86864	−	2.18424i	−0.140647	−	0.107091i
$417$	−18.1336	+	31.4083i	−0.888004	+	1.53807i
$418$	−1.82569	−	1.05406i	−0.0892973	−	0.0515558i
$419$	−7.27959	−	12.6086i	−0.355631	−	0.615971i	0.631595	−	0.775299i	$-0.282401\pi$
$419$	−7.27959	−	12.6086i	−0.355631	−	0.615971i	−0.987226	+	0.159328i	$0.949067\pi$
$420$	−19.7695	−	20.1183i	−0.964654	−	0.981673i
$421$		−	15.5200i		−	0.756401i	−0.925724	−	0.378200i	$-0.876543\pi$
$421$		−	15.5200i		−	0.756401i	0.925724	−	0.378200i	$-0.123457\pi$
$422$			18.0627i			0.879276i
$423$	24.5006	−	14.1454i	1.19126	−	0.687773i
$424$	11.3260	+	6.53907i	0.550039	+	0.317565i
$425$	−30.1206			−1.46106
$426$	0.961684	+	1.66568i	0.0465937	+	0.0807027i
$427$	−10.3926	−	2.88232i	−0.502934	−	0.139485i
$428$	10.1960			0.492840
$429$	22.5515	−	9.43981i	1.08880	−	0.455758i
$430$	−9.23692	+	15.9988i	−0.445444	+	0.771531i
$431$		−	4.28126i		−	0.206221i	−0.994670	−	0.103111i	$-0.967120\pi$
$431$		−	4.28126i		−	0.206221i	0.994670	−	0.103111i	$-0.0328796\pi$
$432$	−6.38856	+	11.0653i	−0.307370	+	0.532380i
$433$	11.9795	−	20.7491i	0.575697	−	0.997137i	−0.420268	−	0.907400i	$-0.638064\pi$
$433$	11.9795	−	20.7491i	0.575697	−	0.997137i	0.995966	−	0.0897368i	$-0.0286026\pi$
$434$	0.546874	+	2.11475i	0.0262508	+	0.101511i
$435$	39.4577	+	22.7809i	1.89185	+	1.09226i
$436$			7.46908i			0.357704i
$437$	2.71875	+	1.56967i	0.130055	+	0.0750875i
$438$	10.2200	+	17.7016i	0.488331	+	0.845815i
$439$	13.3486	−	23.1204i	0.637092	−	1.10348i	−0.348975	−	0.937132i	$-0.613470\pi$
$439$	13.3486	−	23.1204i	0.637092	−	1.10348i	0.986068	−	0.166344i	$-0.0531963\pi$
$440$	−6.23916	+	3.60218i	−0.297440	+	0.171727i
$441$	42.2025	+	25.3598i	2.00964	+	1.20761i
$442$	15.8329	−	6.62746i	0.753093	−	0.315236i
$443$	−8.58893	−	14.8765i	−0.408073	−	0.706802i	0.586601	−	0.809876i	$-0.300466\pi$
$443$	−8.58893	−	14.8765i	−0.408073	−	0.706802i	−0.994674	+	0.103074i	$0.967132\pi$
$444$		−	27.3461i		−	1.29779i
$445$	16.7216			0.792680
$446$	24.1325			1.14271
$447$			55.1889i			2.61035i
$448$	−2.54951	−	0.707090i	−0.120453	−	0.0334069i
$449$	−9.05342	−	5.22699i	−0.427257	−	0.246677i	0.270920	−	0.962602i	$-0.412672\pi$
$449$	−9.05342	−	5.22699i	−0.427257	−	0.246677i	−0.698177	+	0.715925i	$0.746005\pi$
$450$	−38.5417	+	22.2520i	−1.81687	+	1.04897i
$451$	3.53553	+	6.12371i	0.166482	+	0.288354i
$452$	2.10006			0.0987784
$453$	35.5946	+	20.5505i	1.67238	+	0.965548i
$454$	9.08981			0.426606
$455$	19.4168	+	25.5689i	0.910272	+	1.19869i
$456$	−3.11956			−0.146087
$457$	8.99602	+	5.19386i	0.420816	+	0.242958i	0.695426	−	0.718597i	$-0.255216\pi$
$457$	8.99602	+	5.19386i	0.420816	+	0.242958i	−0.274610	+	0.961556i	$0.588549\pi$
$458$	6.33642			0.296081
$459$	−30.4123	−	52.6757i	−1.41953	−	2.45869i
$460$	9.29113	−	5.36424i	0.433201	−	0.250109i
$461$	6.01121	+	3.47058i	0.279970	+	0.161641i	0.633410	−	0.773816i	$-0.281655\pi$
$461$	6.01121	+	3.47058i	0.279970	+	0.161641i	−0.353440	+	0.935457i	$0.614988\pi$
$462$	12.7956	−	12.5738i	0.595307	−	0.584986i
$463$		−	29.5056i		−	1.37124i	−0.727960	−	0.685620i	$-0.759531\pi$
$463$		−	29.5056i		−	1.37124i	0.727960	−	0.685620i	$-0.240469\pi$
$464$	4.27374			0.198404
$465$	8.80157			0.408163
$466$			17.1230i			0.793209i
$467$	−16.2597	−	28.1626i	−0.752410	−	1.30321i	−0.946652	−	0.322258i	$-0.895558\pi$
$467$	−16.2597	−	28.1626i	−0.752410	−	1.30321i	0.194242	−	0.980954i	$-0.437775\pi$
$468$	15.3633	−	20.1771i	0.710167	−	0.932688i
$469$	−0.260688	+	0.939947i	−0.0120374	+	0.0434027i
$470$	11.7235	−	6.76854i	0.540763	−	0.312209i
$471$	38.6233	−	66.8976i	1.77967	−	3.08248i
$472$	−1.78629	−	3.09394i	−0.0822205	−	0.142410i
$473$	−10.1755	−	5.87486i	−0.467872	−	0.270126i
$474$		−	31.1495i		−	1.43074i
$475$	−5.39647	−	3.11566i	−0.247607	−	0.142956i
$476$	8.98350	−	8.82776i	0.411758	−	0.404620i
$477$	−45.9938	+	79.6635i	−2.10591	+	3.64754i
$478$	−9.19751	+	15.9306i	−0.420684	+	0.728647i
$479$		−	40.4428i		−	1.84788i	−0.382541	−	0.923938i	$-0.624951\pi$
$479$		−	40.4428i		−	1.84788i	0.382541	−	0.923938i	$-0.375049\pi$
$480$	−5.33044	+	9.23259i	−0.243300	+	0.421408i
$481$	−3.94780	+	30.8756i	−0.180004	+	1.40781i
$482$	16.4734			0.750343
$483$	−19.0548	+	18.7244i	−0.867023	+	0.851992i
$484$	3.20894	+	5.55805i	0.145861	+	0.252639i
$485$	−38.9688			−1.76948
$486$	−19.9450	−	11.5153i	−0.904724	−	0.522343i
$487$	30.0331	−	17.3396i	1.36093	−	0.785733i	0.371182	−	0.928560i	$-0.378953\pi$
$487$	30.0331	−	17.3396i	1.36093	−	0.785733i	0.989748	+	0.142827i	$0.0456193\pi$
$488$			4.07631i			0.184526i
$489$			42.0744i			1.90267i
$490$	20.1938	+	12.1346i	0.912262	+	0.548185i
$491$	1.67954	+	2.90904i	0.0757964	+	0.131283i	0.901432	−	0.432920i	$-0.142517\pi$
$491$	1.67954	+	2.90904i	0.0757964	+	0.131283i	−0.825636	+	0.564203i	$0.809183\pi$
$492$	9.06175	+	5.23181i	0.408535	+	0.235868i
$493$	−10.1724	+	17.6192i	−0.458144	+	0.793529i
$494$	3.52219	+	0.450352i	0.158471	+	0.0202623i
$495$	−25.3366	−	43.8843i	−1.13880	−	1.97245i
$496$	0.714987	−	0.412798i	0.0321038	−	0.0185352i
$497$	−1.12599	−	1.14586i	−0.0505076	−	0.0513987i
$498$	−16.9752	+	29.4020i	−0.760678	+	1.31753i
$499$	21.3022	−	12.2988i	0.953618	−	0.550572i	0.0594153	−	0.998233i	$-0.481076\pi$
$499$	21.3022	−	12.2988i	0.953618	−	0.550572i	0.894203	+	0.447661i	$0.147743\pi$
$500$	−3.86860	+	2.23354i	−0.173009	+	0.0998869i
$501$	48.7909	−	28.1695i	2.17982	−	1.25852i
$502$	19.5926	−	11.3118i	0.874459	−	0.504869i
$503$	−0.0232016	+	0.0401863i	−0.00103451	+	0.00179182i	−0.866542	−	0.499104i	$-0.833663\pi$
$503$	−0.0232016	+	0.0401863i	−0.00103451	+	0.00179182i	0.865508	+	0.500896i	$0.166996\pi$
$504$	4.97345	−	17.9325i	0.221535	−	0.798777i
$505$	−18.0477	+	10.4198i	−0.803110	+	0.463676i
$506$	3.41176	+	5.90934i	0.151671	+	0.262702i
$507$	−28.8999	+	29.3341i	−1.28349	+	1.30277i
$508$	2.09804	−	3.63391i	0.0930855	−	0.161229i
$509$	36.9879	+	21.3550i	1.63946	+	0.946542i	0.981020	+	0.193908i	$0.0621165\pi$
$509$	36.9879	+	21.3550i	1.63946	+	0.946542i	0.658439	+	0.752634i	$0.271217\pi$
$510$	−25.3752	−	43.9512i	−1.12363	−	1.94619i
$511$	−11.9662	−	12.1773i	−0.529351	−	0.538690i
$512$			1.00000i			0.0441942i
$513$		−	12.5833i		−	0.555568i
$514$	8.83901	−	5.10320i	0.389872	−	0.225093i
$515$	−9.63863	−	5.56486i	−0.424729	−	0.245217i
$516$	−17.3870			−0.765420
$517$	4.30492	+	7.45634i	0.189330	+	0.327930i
$518$	5.71855	+	22.1135i	0.251258	+	0.971613i
$519$	−18.6333			−0.817912
$520$	7.35128	−	9.65470i	0.322375	−	0.423387i
$521$	9.17127	−	15.8851i	0.401801	−	0.695939i	−0.592143	−	0.805833i	$-0.701718\pi$
$521$	9.17127	−	15.8851i	0.401801	−	0.695939i	0.993943	+	0.109894i	$0.0350511\pi$
$522$			30.0602i			1.31570i
$523$	6.16294	−	10.6745i	0.269487	−	0.466765i	−0.699243	−	0.714884i	$-0.746479\pi$
$523$	6.16294	−	10.6745i	0.269487	−	0.466765i	0.968729	+	0.248120i	$0.0798126\pi$
$524$	−5.19800	+	9.00321i	−0.227076	+	0.393307i
$525$	37.8221	−	37.1664i	1.65069	−	1.62207i
$526$	−15.5308	−	8.96671i	−0.677175	−	0.390967i
$527$			3.93020i			0.171202i
$528$	−5.87211	−	3.39026i	−0.255551	−	0.147542i
$529$	6.41933	+	11.1186i	0.279101	+	0.483418i
$530$	−22.0079	+	38.1188i	−0.955962	+	1.65577i
$531$	21.7618	−	12.5642i	0.944381	−	0.545239i
$532$	2.52264	−	0.652353i	0.109370	−	0.0282831i
$533$	−9.47605	−	7.21526i	−0.410453	−	0.312527i
$534$	7.86893	+	13.6294i	0.340522	+	0.589801i
$535$			34.3155i			1.48359i
$536$	0.368677			0.0159244
$537$	−31.3314			−1.35205
$538$		−	29.0801i		−	1.25373i
$539$	−7.71783	+	12.8436i	−0.332430	+	0.553214i
$540$	−37.2414	−	21.5013i	−1.60262	−	0.925270i
$541$	−16.6040	+	9.58633i	−0.713862	+	0.412148i	−0.812489	−	0.582976i	$-0.801888\pi$
$541$	−16.6040	+	9.58633i	−0.713862	+	0.412148i	0.0986273	+	0.995124i	$0.468555\pi$
$542$	2.76938	+	4.79671i	0.118955	+	0.206036i
$543$	−62.4072			−2.67815
$544$	−4.12266	−	2.38022i	−0.176758	−	0.102051i
$545$	−25.1380			−1.07679
$546$	−11.7034	+	27.8585i	−0.500859	+	1.19223i
$547$	−1.25358			−0.0535993			−0.0267997	−	0.999641i	$-0.508532\pi$
$547$	−1.25358			−0.0535993			−0.0267997	+	0.999641i	$0.508532\pi$
$548$	−8.90891	−	5.14356i	−0.380570	−	0.219722i
$549$	−28.6715			−1.22367
$550$	−6.77204	−	11.7295i	−0.288761	−	0.500148i
$551$	−3.64504	+	2.10446i	−0.155284	+	0.0896531i
$552$	8.74453	+	5.04865i	0.372192	+	0.214885i
$553$	6.51389	+	25.1891i	0.276999	+	1.07115i
$554$			3.07134i			0.130489i
$555$	92.0362			3.90672
$556$	−11.4494			−0.485563
$557$		−	29.0790i		−	1.23212i	−0.787700	−	0.616058i	$-0.788729\pi$
$557$		−	29.0790i		−	1.23212i	0.787700	−	0.616058i	$-0.211271\pi$
$558$	2.90349	+	5.02899i	0.122915	+	0.212894i
$559$	19.6311	+	2.51006i	0.830307	+	0.106164i
$560$	2.37978	−	8.58065i	0.100564	−	0.362599i
$561$	27.9538	−	16.1391i	1.18021	−	0.681395i
$562$	14.3950	−	24.9329i	0.607218	−	1.05173i
$563$	21.6177	+	37.4430i	0.911078	+	1.57803i	0.812544	+	0.582900i	$0.198082\pi$
$563$	21.6177	+	37.4430i	0.911078	+	1.57803i	0.0985342	+	0.995134i	$0.468585\pi$
$564$	11.0337	+	6.37034i	0.464605	+	0.268240i
$565$			7.06796i			0.297351i
$566$	−0.253827	−	0.146547i	−0.0106692	−	0.00615984i
$567$	49.3885	+	13.6975i	2.07412	+	0.575243i
$568$	−0.303600	+	0.525851i	−0.0127388	+	0.0220642i
$569$	19.6059	−	33.9584i	0.821921	−	1.42361i	−0.0823283	−	0.996605i	$-0.526236\pi$
$569$	19.6059	−	33.9584i	0.821921	−	1.42361i	0.904250	−	0.427004i	$-0.140431\pi$
$570$		−	10.4992i		−	0.439763i
$571$	4.86616	−	8.42843i	0.203642	−	0.352719i	−0.746057	−	0.665882i	$-0.768055\pi$
$571$	4.86616	−	8.42843i	0.203642	−	0.352719i	0.949699	+	0.313163i	$0.101389\pi$
$572$	6.14057	+	4.67556i	0.256750	+	0.195495i
$573$	51.2353			2.14039
$574$	−8.42188	−	2.33575i	−0.351522	−	0.0974922i
$575$	10.0847	+	17.4672i	0.420560	+	0.728432i
$576$	−7.03369			−0.293070
$577$	28.5433	+	16.4795i	1.18827	+	0.686049i	0.957914	−	0.287057i	$-0.0926768\pi$
$577$	28.5433	+	16.4795i	1.18827	+	0.686049i	0.230358	+	0.973106i	$0.426010\pi$
$578$	4.90325	−	2.83089i	0.203948	−	0.117750i
$579$			45.7815i			1.90261i
$580$			14.3837i			0.597251i
$581$	7.57862	−	27.3258i	0.314414	−	1.13367i
$582$	−18.3381	−	31.7626i	−0.760139	−	1.31660i
$583$	−24.2443	−	13.9974i	−1.00410	−	0.579715i
$584$	−3.22642	+	5.58833i	−0.133510	+	0.231247i
$585$	67.9082	+	51.7066i	2.80766	+	2.13781i
$586$	−11.7463	−	20.3451i	−0.485233	−	0.840448i
$587$	17.6862	−	10.2112i	0.729989	−	0.421460i	−0.0884289	−	0.996082i	$-0.528185\pi$
$587$	17.6862	−	10.2112i	0.729989	−	0.421460i	0.818418	+	0.574623i	$0.194851\pi$
$588$	−0.387733	+	22.1698i	−0.0159899	+	0.914268i
$589$	−0.406537	+	0.704143i	−0.0167511	+	0.0290137i
$590$	10.4130	−	6.01193i	0.428695	−	0.247507i
$591$	52.1652	−	30.1176i	2.14579	−	1.23887i
$592$	7.47646	−	4.31654i	0.307281	−	0.177409i
$593$	−2.55247	+	1.47367i	−0.104818	+	0.0605165i	−0.551492	−	0.834180i	$-0.685941\pi$
$593$	−2.55247	+	1.47367i	−0.104818	+	0.0605165i	0.446675	+	0.894696i	$0.352608\pi$
$594$	13.6753	−	23.6863i	0.561103	−	0.971859i
$595$	29.7107	+	30.2349i	1.21802	+	1.23951i
$596$	−15.0887	+	8.71148i	−0.618058	+	0.356836i
$597$	−2.57485	−	4.45976i	−0.105381	−	0.182526i
$598$	−9.14432	−	6.96267i	−0.373939	−	0.284725i
$599$	−11.0872	+	19.2037i	−0.453012	+	0.784641i	−0.998571	−	0.0534318i	$-0.982984\pi$
$599$	−11.0872	+	19.2037i	−0.453012	+	0.784641i	0.545559	+	0.838072i	$0.316317\pi$
$600$	−17.3571	−	10.0211i	−0.708601	−	0.409111i
$601$	−21.9356	−	37.9936i	−0.894772	−	1.54979i	−0.834086	−	0.551634i	$-0.814004\pi$
$601$	−21.9356	−	37.9936i	−0.894772	−	1.54979i	−0.0606864	−	0.998157i	$-0.519329\pi$
$602$	14.0600	−	3.63592i	0.573045	−	0.148189i
$603$			2.59316i			0.105602i
$604$			12.9755i			0.527964i
$605$	−18.7062	+	10.8000i	−0.760515	+	0.439083i
$606$	−16.9859	−	9.80681i	−0.690005	−	0.398375i
$607$	−23.5280			−0.954970			−0.477485	−	0.878640i	$-0.658452\pi$
$607$	−23.5280			−0.954970			−0.477485	+	0.878640i	$0.658452\pi$
$608$	−0.492417	−	0.852891i	−0.0199701	−	0.0345893i
$609$	−8.96724	−	34.6762i	−0.363371	−	1.40515i
$610$	−13.7192			−0.555476
$611$	−11.5382	−	8.78542i	−0.466786	−	0.355420i
$612$	16.7417	−	28.9975i	0.676744	−	1.17216i
$613$		−	5.70791i		−	0.230540i	−0.993334	−	0.115270i	$-0.963227\pi$
$613$		−	5.70791i		−	0.230540i	0.993334	−	0.115270i	$-0.0367734\pi$
$614$	−4.72116	+	8.17729i	−0.190531	+	0.330009i
$615$	−17.6082	+	30.4983i	−0.710030	+	1.22981i
$616$	5.45746	+	1.51359i	0.219887	+	0.0609842i
$617$	−9.94900	−	5.74406i	−0.400531	−	0.231247i	0.286182	−	0.958175i	$-0.407614\pi$
$617$	−9.94900	−	5.74406i	−0.400531	−	0.231247i	−0.686713	+	0.726928i	$0.740947\pi$
$618$		−	10.4750i		−	0.421365i
$619$	−10.1321	−	5.84979i	−0.407245	−	0.235123i	0.282360	−	0.959308i	$-0.408883\pi$
$619$	−10.1321	−	5.84979i	−0.407245	−	0.235123i	−0.689605	+	0.724185i	$0.742216\pi$
$620$	1.38931	+	2.40636i	0.0557961	+	0.0966418i
$621$	−20.3647	+	35.2727i	−0.817207	+	1.41544i
$622$	−4.75744	+	2.74671i	−0.190756	+	0.110133i
$623$	−9.21337	−	9.37592i	−0.369126	−	0.375638i
$624$	11.3287	+	1.44850i	0.453512	+	0.0579866i
$625$	8.30098	+	14.3777i	0.332039	+	0.575109i
$626$			11.1616i			0.446106i
$627$	6.67769			0.266681
$628$	24.3865			0.973127
$629$			41.0972i			1.63865i
$630$	60.3536	+	16.7387i	2.40455	+	0.666884i
$631$	32.2871	+	18.6410i	1.28533	+	0.742085i	0.977817	−	0.209459i	$-0.0671703\pi$
$631$	32.2871	+	18.6410i	1.28533	+	0.742085i	0.307512	+	0.951544i	$0.400504\pi$
$632$	8.51630	−	4.91689i	0.338760	−	0.195583i
$633$	−28.6076	−	49.5499i	−1.13705	−	1.96943i
$634$	−2.47705			−0.0983760
$635$	12.2303	+	7.06117i	0.485345	+	0.280214i
$636$	−41.4263			−1.64266
$637$	3.63830	−	24.9752i	0.144155	−	0.989555i
$638$	−9.14832			−0.362185
$639$	−3.69867	−	2.13543i	−0.146317	−	0.0844763i
$640$	−3.36560			−0.133037
$641$	15.2287	+	26.3769i	0.601499	+	1.04183i	0.992594	+	0.121477i	$0.0387629\pi$
$641$	15.2287	+	26.3769i	0.601499	+	1.04183i	−0.391095	+	0.920350i	$0.627904\pi$
$642$	−27.9698	+	16.1484i	−1.10388	+	0.637325i
$643$	−4.04254	−	2.33396i	−0.159422	−	0.0920426i	0.418166	−	0.908370i	$-0.362673\pi$
$643$	−4.04254	−	2.33396i	−0.159422	−	0.0920426i	−0.577589	+	0.816328i	$0.696006\pi$
$644$	−8.12705	−	2.25398i	−0.320251	−	0.0888192i
$645$		−	58.5177i		−	2.30413i
$646$	4.68824			0.184456
$647$	−22.4417			−0.882273			−0.441136	−	0.897440i	$-0.645424\pi$
$647$	−22.4417			−0.882273			−0.441136	+	0.897440i	$0.645424\pi$
$648$		−	19.3717i		−	0.760993i
$649$	3.82370	+	6.62284i	0.150093	+	0.259969i
$650$	18.1507	+	13.8203i	0.711928	+	0.542076i
$651$	−4.84954	−	4.93510i	−0.190069	−	0.193422i
$652$	−11.5032	+	6.64137i	−0.450500	+	0.260096i
$653$	−2.22584	+	3.85527i	−0.0871039	+	0.150868i	−0.906286	−	0.422665i	$-0.861095\pi$
$653$	−2.22584	+	3.85527i	−0.0871039	+	0.150868i	0.819182	+	0.573534i	$0.194428\pi$
$654$	−11.8295	−	20.4893i	−0.462571	−	0.801197i
$655$	−30.3012	−	17.4944i	−1.18397	−	0.683563i
$656$			3.30333i			0.128973i
$657$	−39.3066	−	22.6937i	−1.53350	−	0.885364i
$658$	−10.2546	−	2.84405i	−0.399767	−	0.110872i
$659$	13.8502	−	23.9893i	0.539529	−	0.934491i	−0.459400	−	0.888229i	$-0.651936\pi$
$659$	13.8502	−	23.9893i	0.539529	−	0.934491i	0.998929	−	0.0462621i	$-0.0147309\pi$
$660$	11.4103	−	19.7632i	0.444144	−	0.769280i
$661$			30.7824i			1.19730i	0.801011	+	0.598649i	$0.204296\pi$
$661$			30.7824i			1.19730i	−0.801011	+	0.598649i	$0.795704\pi$
$662$	9.23702	−	15.9990i	0.359007	−	0.621819i
$663$	−32.9365	+	43.2567i	−1.27915	+	1.67995i
$664$	−10.7180			−0.415941
$665$	2.19556	+	8.49020i	0.0851402	+	0.329236i
$666$	30.3612	+	52.5871i	1.17647	+	2.03771i
$667$	13.6233			0.527498
$668$	15.4031	+	8.89300i	0.595965	+	0.344081i
$669$	−66.2009	+	38.2211i	−2.55948	+	1.47771i
$670$			1.24082i			0.0479370i
$671$		−	8.72570i		−	0.336852i
$672$	8.11377	−	2.09822i	0.312996	−	0.0809405i
$673$	7.54026	+	13.0601i	0.290656	+	0.503430i	0.973965	−	0.226699i	$-0.0727933\pi$
$673$	7.54026	+	13.0601i	0.290656	+	0.503430i	−0.683309	+	0.730129i	$0.739460\pi$
$674$	−17.5510	−	10.1331i	−0.676039	−	0.390312i
$675$	40.4222	−	70.0132i	1.55585	−	2.69481i
$676$	−12.5818	−	3.27092i	−0.483914	−	0.125805i
$677$	−3.72943	−	6.45956i	−0.143334	−	0.248261i	0.785416	−	0.618968i	$-0.212449\pi$
$677$	−3.72943	−	6.45956i	−0.143334	−	0.248261i	−0.928750	+	0.370707i	$0.879116\pi$
$678$	−5.76092	+	3.32607i	−0.221247	+	0.127737i
$679$	21.4713	+	21.8501i	0.823992	+	0.838529i
$680$	8.01087	−	13.8752i	0.307203	−	0.532091i
$681$	−24.9354	+	14.3964i	−0.955526	+	0.551673i
$682$	−1.53049	+	0.883630i	−0.0586055	+	0.0338359i
$683$	−27.0516	+	15.6183i	−1.03510	+	0.597616i	−0.918442	−	0.395556i	$-0.870552\pi$
$683$	−27.0516	+	15.6183i	−1.03510	+	0.597616i	−0.116659	+	0.993172i	$0.537218\pi$
$684$	5.99897	−	3.46351i	0.229376	−	0.132430i
$685$	17.3112	−	29.9838i	0.661426	−	1.14562i
$686$	−4.32255	−	18.0088i	−0.165036	−	0.687578i
$687$	−17.3822	+	10.0356i	−0.663172	+	0.382883i
$688$	−2.74451	−	4.75362i	−0.104633	−	0.181230i
$689$	46.7731	+	5.98047i	1.78191	+	0.227838i
$690$	−16.9918	+	29.4306i	−0.646865	+	1.12040i
$691$	−16.4111	−	9.47494i	−0.624307	−	0.360444i	0.154237	−	0.988034i	$-0.450708\pi$
$691$	−16.4111	−	9.47494i	−0.624307	−	0.360444i	−0.778544	+	0.627590i	$0.784041\pi$
$692$	−2.94124	−	5.09437i	−0.111809	−	0.193659i
$693$	−10.6461	+	38.3861i	−0.404412	+	1.45817i
$694$			6.94477i			0.263620i
$695$		−	38.5341i		−	1.46168i
$696$	−11.7238	+	6.76875i	−0.444390	+	0.256569i
$697$	−13.6185	−	7.86264i	−0.515837	−	0.297819i
$698$	−2.11671			−0.0801186
$699$	−27.1195	−	46.9723i	−1.02575	−	1.77665i
$700$	16.1315	+	4.47395i	0.609713	+	0.169099i
$701$	−31.8599			−1.20333			−0.601665	−	0.798748i	$-0.705496\pi$
$701$	−31.8599			−1.20333			−0.601665	+	0.798748i	$0.705496\pi$
$702$	−5.84282	+	45.6965i	−0.220523	+	1.72470i
$703$	−4.25107	+	7.36307i	−0.160332	+	0.277704i
$704$		−	2.14059i		−	0.0806764i
$705$	−21.4400	+	37.1352i	−0.807478	+	1.39859i
$706$	3.84230	−	6.65507i	0.144607	−	0.250467i
$707$	15.7865	+	4.37827i	0.593711	+	0.164662i
$708$	9.80036	+	5.65824i	0.368320	+	0.212650i
$709$		−	12.1836i		−	0.457564i	−0.973478	−	0.228782i	$-0.926526\pi$
$709$		−	12.1836i		−	0.457564i	0.973478	−	0.228782i	$-0.0734743\pi$
$710$	−1.76980	−	1.02180i	−0.0664196	−	0.0383474i
$711$	34.5839	+	59.9010i	1.29700	+	2.24646i
$712$	−2.48419	+	4.30275i	−0.0930991	+	0.161252i
$713$	2.27915	−	1.31587i	0.0853549	−	0.0492797i
$714$	−10.6623	+	38.4446i	−0.399028	+	1.43875i
$715$	−15.7361	+	20.6667i	−0.588495	+	0.772892i
$716$	−4.94561	−	8.56604i	−0.184826	−	0.320128i
$717$		−	58.2681i		−	2.17606i
$718$	9.39300			0.350544
$719$	−38.3228			−1.42920			−0.714599	−	0.699534i	$-0.753391\pi$
$719$	−38.3228			−1.42920			−0.714599	+	0.699534i	$0.753391\pi$
$720$		−	23.6726i		−	0.882226i
$721$	2.19049	+	8.47061i	0.0815782	+	0.315462i
$722$	−15.6145	−	9.01505i	−0.581113	−	0.335505i
$723$	−45.1902	+	26.0906i	−1.68064	+	0.970319i
$724$	−9.85087	−	17.0622i	−0.366105	−	0.634112i
$725$	−27.0411			−1.00428
$726$	−17.6057	−	10.1646i	−0.653408	−	0.377245i
$727$	32.7827			1.21584			0.607921	−	0.793997i	$-0.292004\pi$
$727$	32.7827			1.21584			0.607921	+	0.793997i	$0.292004\pi$
$728$	−9.46391	+	1.19769i	−0.350756	+	0.0443894i
$729$	14.8363			0.549492
$730$	−18.8081	−	10.8589i	−0.696119	−	0.401904i
$731$	26.1301			0.966457
$732$	−6.45606	−	11.1822i	−0.238623	−	0.413307i
$733$	−26.8017	+	15.4739i	−0.989942	+	0.571543i	−0.905257	−	0.424865i	$-0.860322\pi$
$733$	−26.8017	+	15.4739i	−0.989942	+	0.571543i	−0.0846847	+	0.996408i	$0.526988\pi$
$734$	25.0005	+	14.4340i	0.922784	+	0.532770i
$735$	−74.6147	−	1.30496i	−2.75221	−	0.0481340i
$736$			3.18768i			0.117500i
$737$	−0.789185			−0.0290700
$738$	−23.2346			−0.855276
$739$			2.94094i			0.108184i	0.998536	+	0.0540922i	$0.0172265\pi$
$739$			2.94094i			0.108184i	−0.998536	+	0.0540922i	$0.982774\pi$
$740$	14.5278	+	25.1628i	0.534051	+	0.925003i
$741$	−10.3754	+	4.34303i	−0.381151	+	0.159545i
$742$	33.4995	−	8.66295i	1.22981	−	0.318027i
$743$	10.9357	−	6.31376i	0.401194	−	0.231629i	−0.285805	−	0.958288i	$-0.592261\pi$
$743$	10.9357	−	6.31376i	0.401194	−	0.231629i	0.686999	+	0.726658i	$0.258928\pi$
$744$	−1.30758	+	2.26479i	−0.0479381	+	0.0830313i
$745$	−29.3194	−	50.7826i	−1.07418	−	1.86053i
$746$	18.8310	+	10.8721i	0.689450	+	0.398054i
$747$		−	75.3874i		−	2.75828i
$748$	8.82492	+	5.09507i	0.322671	+	0.186294i
$749$	19.2410	−	18.9074i	0.703049	−	0.690861i
$750$	7.07496	−	12.2542i	0.258341	−	0.447460i
$751$	12.7063	−	22.0080i	0.463660	−	0.803082i	−0.535480	−	0.844548i	$-0.679869\pi$
$751$	12.7063	−	22.0080i	0.463660	−	0.803082i	0.999140	+	0.0414655i	$0.0132027\pi$
$752$			4.02219i			0.146674i
$753$	−35.8312	+	62.0614i	−1.30576	+	2.26164i
$754$	14.2142	−	5.94988i	0.517649	−	0.216682i
$755$	−43.6702			−1.58932
$756$	8.46355	+	32.7284i	0.307816	+	1.19032i
$757$	−3.88828	−	6.73469i	−0.141322	−	0.244777i	0.786673	−	0.617370i	$-0.211802\pi$
$757$	−3.88828	−	6.73469i	−0.141322	−	0.244777i	−0.927995	+	0.372594i	$0.878469\pi$
$758$	35.3952			1.28561
$759$	−18.7184	−	10.8071i	−0.679436	−	0.392272i
$760$	2.87049	−	1.65728i	0.104124	−	0.0601158i
$761$		−	38.4603i		−	1.39418i	−0.716981	−	0.697092i	$-0.754477\pi$
$761$		−	38.4603i		−	1.39418i	0.716981	−	0.697092i	$-0.245523\pi$
$762$			13.2915i			0.481500i
$763$	13.8507	+	14.0950i	0.501428	+	0.510274i
$764$	8.08740	+	14.0078i	0.292592	+	0.506784i
$765$	97.5941	+	56.3460i	3.52852	+	2.03719i
$766$	−3.89078	+	6.73904i	−0.140580	+	0.243491i
$767$	−10.2484	−	7.80335i	−0.370049	−	0.281763i
$768$	−1.58380	−	2.74322i	−0.0571505	−	0.0989875i
$769$	15.1551	−	8.74980i	0.546507	−	0.315526i	−0.201205	−	0.979549i	$-0.564486\pi$
$769$	15.1551	−	8.74980i	0.546507	−	0.315526i	0.747712	+	0.664023i	$0.231152\pi$
$770$	−5.09413	+	18.3676i	−0.183580	+	0.661923i
$771$	−16.1649	+	27.9984i	−0.582165	+	1.00834i
$772$	−12.5167	+	7.22652i	−0.450486	+	0.260088i
$773$	−6.17873	+	3.56729i	−0.222233	+	0.128306i	−0.606984	−	0.794714i	$-0.707621\pi$
$773$	−6.17873	+	3.56729i	−0.222233	+	0.128306i	0.384751	+	0.923021i	$0.374287\pi$
$774$	33.4355	−	19.3040i	1.20181	−	0.693868i
$775$	−4.52392	+	2.61188i	−0.162504	+	0.0938217i
$776$	5.78928	−	10.0273i	0.207823	−	0.359960i
$777$	−50.7107	−	51.6053i	−1.81923	−	1.85133i
$778$	7.57687	−	4.37451i	0.271644	−	0.156834i
$779$	−1.62661	−	2.81738i	−0.0582794	−	0.100943i
$780$	−4.87509	+	38.1279i	−0.174556	+	1.36520i
$781$	0.649882	−	1.12563i	0.0232546	−	0.0402782i
$782$	−13.1417	−	7.58739i	−0.469948	−	0.271325i
$783$	−27.3030	−	47.2903i	−0.975731	−	1.69002i
$784$	−6.12245	+	3.39346i	−0.218659	+	0.121195i
$785$			82.0753i			2.92939i
$786$		−	32.9304i		−	1.17459i
$787$	28.2009	−	16.2818i	1.00525	−	0.580383i	0.0954550	−	0.995434i	$-0.469569\pi$
$787$	28.2009	−	16.2818i	1.00525	−	0.580383i	0.909798	+	0.415050i	$0.136236\pi$
$788$	16.4684	+	9.50802i	0.586662	+	0.338709i
$789$	56.8059			2.02234
$790$	16.5483	+	28.6625i	0.588762	+	1.01977i
$791$	3.96305	−	3.89435i	0.140910	−	0.138467i
$792$	15.0562			0.535000
$793$	5.67502	+	13.5575i	0.201526	+	0.481442i
$794$	−14.4124	+	24.9631i	−0.511479	+	0.885907i
$795$		−	139.424i		−	4.94487i
$796$	0.812870	−	1.40793i	0.0288114	−	0.0499028i
$797$	−5.18869	+	8.98708i	−0.183793	+	0.318339i	−0.943169	−	0.332313i	$-0.892171\pi$
$797$	−5.18869	+	8.98708i	−0.183793	+	0.318339i	0.759376	+	0.650652i	$0.225504\pi$
$798$	−5.88696	+	5.78491i	−0.208396	+	0.204783i
$799$	−16.5821	−	9.57369i	−0.586633	−	0.338693i
$800$		−	6.32727i		−	0.223703i
$801$	−30.2642	−	17.4730i	−1.06933	−	0.617380i
$802$	0.510573	+	0.884338i	0.0180290	+	0.0312271i
$803$	6.90644	−	11.9623i	0.243723	−	0.422141i
$804$	−1.01136	+	0.583911i	−0.0356680	+	0.0205929i
$805$	7.58600	−	27.3524i	0.267371	−	0.964046i
$806$	1.80330	−	2.36834i	0.0635185	−	0.0834211i
$807$	46.0570	+	79.7731i	1.62128	+	2.80815i
$808$		−	6.19195i		−	0.217832i
$809$	−32.7067			−1.14991			−0.574953	−	0.818187i	$-0.694980\pi$
$809$	−32.7067			−1.14991			−0.574953	+	0.818187i	$0.694980\pi$
$810$	65.1975			2.29081
$811$			51.4793i			1.80768i	0.427869	+	0.903841i	$0.359264\pi$
$811$			51.4793i			1.80768i	−0.427869	+	0.903841i	$0.640736\pi$
$812$	8.06504	−	7.92522i	0.283028	−	0.278121i
$813$	−15.1941	−	8.77229i	−0.532879	−	0.307658i
$814$	−16.0040	+	9.23993i	−0.560941	+	0.323859i
$815$	−22.3522	−	38.7151i	−0.782963	−	1.35613i
$816$	15.0792			0.527876
$817$	4.68153	+	2.70288i	0.163786	+	0.0945619i
$818$	12.5545			0.438959
$819$	−8.42418	−	66.5662i	−0.294365	−	2.32601i
$820$	−11.1177			−0.388246
$821$	−22.9971	−	13.2774i	−0.802603	−	0.463383i	0.0417774	−	0.999127i	$-0.486698\pi$
$821$	−22.9971	−	13.2774i	−0.802603	−	0.463383i	−0.844381	+	0.535744i	$0.820031\pi$
$822$	32.5855			1.13655
$823$	−17.1965	−	29.7851i	−0.599431	−	1.03824i	−0.992905	−	0.118909i	$-0.962060\pi$
$823$	−17.1965	−	29.7851i	−0.599431	−	1.03824i	0.393474	−	0.919336i	$-0.371273\pi$
$824$	2.86387	−	1.65345i	0.0997675	−	0.0576008i
$825$	37.1544	+	21.4511i	1.29355	+	0.746832i
$826$	−9.10832	−	2.52613i	−0.316919	−	0.0878953i
$827$			5.99914i			0.208610i	0.994545	+	0.104305i	$0.0332619\pi$
$827$			5.99914i			0.208610i	−0.994545	+	0.104305i	$0.966738\pi$
$828$	−22.4212			−0.779190
$829$	52.6396			1.82825			0.914125	−	0.405433i	$-0.132879\pi$
$829$	52.6396			1.82825			0.914125	+	0.405433i	$0.132879\pi$
$830$		−	36.0727i		−	1.25210i
$831$	−4.86440	−	8.42538i	−0.168744	−	0.292273i
$832$	1.39219	+	3.32593i	0.0482657	+	0.115306i
$833$	0.582707	−	33.3180i	0.0201896	−	1.15440i
$834$	31.4083	−	18.1336i	1.08758	−	0.627914i
$835$	−29.9303	+	51.8408i	−1.03578	+	1.79402i
$836$	1.05406	+	1.82569i	0.0364555	+	0.0631427i
$837$	−9.13547	−	5.27436i	−0.315768	−	0.182309i
$838$			14.5592i			0.502938i
$839$	29.2128	+	16.8660i	1.00854	+	0.582279i	0.910763	−	0.412929i	$-0.135494\pi$
$839$	29.2128	+	16.8660i	1.00854	+	0.582279i	0.0977743	+	0.995209i	$0.468828\pi$
$840$	7.06176	+	27.3077i	0.243654	+	0.942206i
$841$	5.36756	−	9.29689i	0.185088	−	0.320583i
$842$	−7.76002	+	13.4408i	−0.267428	+	0.463199i
$843$			91.1954i			3.14094i
$844$	9.03133	−	15.6427i	0.310871	−	0.538445i
$845$	11.0086	−	42.3452i	0.378708	−	1.45672i
$846$	−28.2908			−0.972658
$847$	16.3625	+	4.53802i	0.562222	+	0.155928i
$848$	−6.53907	−	11.3260i	−0.224552	−	0.388936i
$849$	0.928406			0.0318628
$850$	26.0852	+	15.0603i	0.894715	+	0.516564i
$851$	23.8326	−	13.7598i	0.816971	−	0.471679i
$852$		−	1.92337i		−	0.0658935i
$853$			23.9213i			0.819049i	0.912299	+	0.409525i	$0.134305\pi$
$853$			23.9213i			0.819049i	−0.912299	+	0.409525i	$0.865695\pi$
$854$	7.55911	+	7.69247i	0.258667	+	0.263231i
$855$	11.6568	+	20.1901i	0.398654	+	0.690488i
$856$	−8.82996	−	5.09798i	−0.301802	−	0.174245i
$857$	−18.4814	+	32.0108i	−0.631314	+	1.09347i	0.355969	+	0.934498i	$0.384151\pi$
$857$	−18.4814	+	32.0108i	−0.631314	+	1.09347i	−0.987283	+	0.158970i	$0.949183\pi$
$858$	−24.2501	−	3.10065i	−0.827885	−	0.105854i
$859$	−1.04663	−	1.81281i	−0.0357105	−	0.0618524i	0.847618	−	0.530607i	$-0.178036\pi$
$859$	−1.04663	−	1.81281i	−0.0357105	−	0.0618524i	−0.883328	+	0.468755i	$0.844703\pi$
$860$	15.9988	−	9.23692i	0.545555	−	0.314976i
$861$	26.8024	−	6.93109i	0.913424	−	0.236211i
$862$	−2.14063	+	3.70768i	−0.0729102	+	0.126284i
$863$	22.2834	−	12.8653i	0.758536	−	0.437941i	−0.0702341	−	0.997531i	$-0.522375\pi$
$863$	22.2834	−	12.8653i	0.758536	−	0.437941i	0.828770	+	0.559590i	$0.189041\pi$
$864$	11.0653	−	6.38856i	0.376449	−	0.217343i
$865$	17.1456	−	9.89903i	0.582969	−	0.336577i
$866$	−20.7491	+	11.9795i	−0.705082	+	0.407079i
$867$	−8.96714	+	15.5315i	−0.304540	+	0.527479i
$868$	0.583770	−	2.10487i	0.0198145	−	0.0714439i
$869$	−18.2299	+	10.5250i	−0.618407	+	0.357037i
$870$	−22.7809	−	39.4577i	−0.772346	−	1.33774i
$871$	1.22619	−	0.513270i	0.0415480	−	0.0173915i
$872$	3.73454	−	6.46841i	0.126467	−	0.219048i
$873$	70.5291	+	40.7200i	2.38705	+	1.37816i
$874$	−1.56967	−	2.71875i	−0.0530948	−	0.0919630i
$875$	−3.15863	+	11.3889i	−0.106781	+	0.385014i
$876$		−	20.4400i		−	0.690605i
$877$			0.624350i			0.0210828i	0.999944	+	0.0105414i	$0.00335549\pi$
$877$			0.624350i			0.0210828i	−0.999944	+	0.0105414i	$0.996645\pi$
$878$	−23.1204	+	13.3486i	−0.780276	+	0.450492i
$879$	64.4451	+	37.2074i	2.17368	+	1.25498i
$880$	7.20436			0.242859
$881$	−11.7941	−	20.4280i	−0.397355	−	0.688238i	0.596044	−	0.802952i	$-0.296738\pi$
$881$	−11.7941	−	20.4280i	−0.397355	−	0.688238i	−0.993399	+	0.114713i	$0.963405\pi$
$882$	−23.8685	−	43.0634i	−0.803695	−	1.45002i
$883$	−3.01641			−0.101510			−0.0507551	−	0.998711i	$-0.516163\pi$
$883$	−3.01641			−0.101510			−0.0507551	+	0.998711i	$0.516163\pi$
$884$	−17.0254	−	2.17689i	−0.572626	−	0.0732168i
$885$	−19.0434	+	32.9841i	−0.640136	+	1.10875i
$886$			17.1779i			0.577102i
$887$	−4.57839	+	7.93000i	−0.153727	+	0.266263i	−0.932595	−	0.360925i	$-0.882461\pi$
$887$	−4.57839	+	7.93000i	−0.153727	+	0.266263i	0.778868	+	0.627188i	$0.215794\pi$
$888$	−13.6731	+	23.6824i	−0.458838	+	0.794731i
$889$	−2.77948	−	10.7482i	−0.0932208	−	0.360484i
$890$	−14.4813	−	8.36080i	−0.485416	−	0.280255i
$891$			41.4669i			1.38919i
$892$	−20.8994	−	12.0663i	−0.699764	−	0.404009i
$893$	−1.98059	−	3.43049i	−0.0662780	−	0.114797i
$894$	27.5945	−	47.7950i	0.922897	−	1.59850i
$895$	28.8299	−	16.6449i	0.963677	−	0.556379i
$896$	1.85440	+	1.88712i	0.0619511	+	0.0630441i
$897$	36.1124	+	4.61738i	1.20576	+	0.154170i
$898$	5.22699	+	9.05342i	0.174427	+	0.302117i
$899$			3.52838i			0.117678i
$900$	44.5041			1.48347
$901$	62.2577			2.07410
$902$		−	7.07106i		−	0.235440i
$903$	−32.8113	+	32.2424i	−1.09189	+	1.07296i
$904$	−1.81870	−	1.05003i	−0.0604892	−	0.0349234i
$905$	57.4246	−	33.1541i	1.90886	−	1.10208i
$906$	−20.5505	−	35.5946i	−0.682746	−	1.18255i
$907$	46.7275			1.55156			0.775780	−	0.631003i	$-0.217356\pi$
$907$	46.7275			1.55156			0.775780	+	0.631003i	$0.217356\pi$
$908$	−7.87201	−	4.54491i	−0.261242	−	0.150828i
$909$	43.5523			1.44454
$910$	−4.03095	−	31.8517i	−0.133625	−	1.05587i
$911$	41.7044			1.38173			0.690864	−	0.722985i	$-0.257230\pi$
$911$	41.7044			1.38173			0.690864	+	0.722985i	$0.257230\pi$
$912$	2.70162	+	1.55978i	0.0894595	+	0.0516494i
$913$	22.9429			0.759299
$914$	−5.19386	−	8.99602i	−0.171797	−	0.297562i
$915$	37.6349	−	21.7285i	1.24417	−	0.718323i
$916$	−5.48750	−	3.16821i	−0.181312	−	0.104681i
$917$	6.88631	+	26.6293i	0.227406	+	0.879376i
$918$			60.8247i			2.00751i
$919$	−7.90963			−0.260915			−0.130457	−	0.991454i	$-0.541645\pi$
$919$	−7.90963			−0.260915			−0.130457	+	0.991454i	$0.541645\pi$
$920$	−10.7285			−0.353707
$921$		−	29.9095i		−	0.985551i
$922$	−3.47058	−	6.01121i	−0.114297	−	0.197969i
$923$	−0.277665	+	2.17161i	−0.00913946	+	0.0714795i
$924$	−17.3682	+	4.49142i	−0.571373	+	0.147757i
$925$	−47.3056	+	27.3119i	−1.55540	+	0.898011i
$926$	−14.7528	+	25.5526i	−0.484806	+	0.839709i
$927$	11.6299	+	20.1435i	0.381975	+	0.661601i
$928$	−3.70117	−	2.13687i	−0.121497	−	0.0701462i
$929$		−	6.36254i		−	0.208748i	−0.994538	−	0.104374i	$-0.966716\pi$
$929$		−	6.36254i		−	0.208748i	0.994538	−	0.104374i	$-0.0332839\pi$
$930$	−7.62239	−	4.40079i	−0.249948	−	0.144307i
$931$	3.55079	−	5.90905i	0.116372	−	0.193661i
$932$	8.56151	−	14.8290i	0.280442	−	0.485739i
$933$	8.70048	−	15.0697i	0.284841	−	0.493359i
$934$			32.5194i			1.06407i
$935$	−17.1480	+	29.7012i	−0.560799	+	0.971332i
$936$	−23.3935	+	9.79226i	−0.764642	+	0.320070i
$937$	−41.7048			−1.36244			−0.681219	−	0.732080i	$-0.738550\pi$
$937$	−41.7048			−1.36244			−0.681219	+	0.732080i	$0.738550\pi$
$938$	0.695736	−	0.683674i	0.0227166	−	0.0223228i
$939$	−17.6777	−	30.6187i	−0.576890	−	0.999202i
$940$	−13.5371			−0.441531
$941$	−17.8567	−	10.3096i	−0.582113	−	0.336083i	0.179859	−	0.983692i	$-0.442436\pi$
$941$	−17.8567	−	10.3096i	−0.582113	−	0.336083i	−0.761973	+	0.647609i	$0.775769\pi$
$942$	−66.8976	+	38.6233i	−2.17964	+	1.25842i
$943$			10.5300i			0.342903i
$944$			3.57257i			0.116277i
$945$	−110.151	+	28.4849i	−3.58321	+	0.926615i
$946$	5.87486	+	10.1755i	0.191008	+	0.330836i
$947$	−4.43704	−	2.56172i	−0.144184	−	0.0832449i	0.426172	−	0.904642i	$-0.359862\pi$
$947$	−4.43704	−	2.56172i	−0.144184	−	0.0832449i	−0.570357	+	0.821397i	$0.693195\pi$
$948$	−15.5747	+	26.9762i	−0.505844	+	0.876147i
$949$	−2.95081	+	23.0782i	−0.0957873	+	0.749150i
$950$	3.11566	+	5.39647i	0.101085	+	0.175085i
$951$	6.79508	−	3.92314i	0.220346	−	0.127217i
$952$	−12.1938	+	3.15331i	−0.395204	+	0.102199i
$953$	−15.2986	+	26.4979i	−0.495570	+	0.858352i	−0.999987	−	0.00510792i	$-0.998374\pi$
$953$	−15.2986	+	26.4979i	−0.495570	+	0.858352i	0.504417	+	0.863460i	$0.331707\pi$
$954$	79.6635	−	45.9938i	2.57920	−	1.48910i
$955$	−47.1446	+	27.2190i	−1.52556	+	0.880785i
$956$	15.9306	−	9.19751i	0.515231	−	0.297469i
$957$	25.0959	−	14.4891i	0.811234	−	0.468366i
$958$	−20.2214	+	35.0245i	−0.653323	+	1.13159i
$959$	−26.3504	+	6.81419i	−0.850898	+	0.220042i
$960$	9.23259	−	5.33044i	0.297981	−	0.172039i
$961$	−15.1592	−	26.2565i	−0.489006	−	0.846984i
$962$	18.8567	−	24.7652i	0.607965	−	0.798462i
$963$	35.8576	−	62.1072i	1.15550	−	2.00138i
$964$	−14.2664	−	8.23670i	−0.459489	−	0.265286i
$965$	−24.3216	−	42.1262i	−0.782940	−	1.35609i
$966$	25.8641	−	6.68845i	0.832165	−	0.215197i
$967$		−	48.2365i		−	1.55118i	−0.631236	−	0.775591i	$-0.717452\pi$
$967$		−	48.2365i		−	1.55118i	0.631236	−	0.775591i	$-0.282548\pi$
$968$		−	6.41789i		−	0.206279i
$969$	−12.8609	+	7.42523i	−0.413151	+	0.238533i
$970$	33.7480	+	19.4844i	1.08358	+	0.625607i
$971$	−32.6971			−1.04930			−0.524651	−	0.851318i	$-0.675804\pi$
$971$	−32.6971			−1.04930			−0.524651	+	0.851318i	$0.675804\pi$
$972$	11.5153	+	19.9450i	0.369352	+	0.639736i
$973$	−21.6063	+	21.2318i	−0.692667	+	0.680659i
$974$	−34.6792			−1.11119
$975$	−71.6799	−	9.16509i	−2.29559	−	0.293518i
$976$	2.03816	−	3.53019i	0.0652398	−	0.112999i
$977$			25.4858i			0.815363i	0.913124	+	0.407682i	$0.133663\pi$
$977$			25.4858i			0.815363i	−0.913124	+	0.407682i	$0.866337\pi$
$978$	21.0372	−	36.4375i	0.672695	−	1.16514i
$979$	5.31763	−	9.21041i	0.169952	−	0.294366i
$980$	−11.4210	−	20.6057i	−0.364831	−	0.658226i
$981$	45.4968	+	26.2676i	1.45260	+	0.838660i
$982$		−	3.35907i		−	0.107192i
$983$	−24.0366	−	13.8775i	−0.766648	−	0.442625i	0.0650294	−	0.997883i	$-0.479286\pi$
$983$	−24.0366	−	13.8775i	−0.766648	−	0.442625i	−0.831678	+	0.555259i	$0.812619\pi$
$984$	−5.23181	−	9.06175i	−0.166784	−	0.288878i
$985$	−32.0002	+	55.4260i	−1.01961	+	1.76602i
$986$	17.6192	−	10.1724i	0.561109	−	0.323957i
$987$	32.6351	−	8.43942i	1.03879	−	0.268630i
$988$	−2.82513	−	2.15111i	−0.0898794	−	0.0684360i
$989$	−8.74862	−	15.1531i	−0.278190	−	0.481839i
$990$			50.6733i			1.61050i
$991$	−19.5858			−0.622164			−0.311082	−	0.950383i	$-0.600691\pi$
$991$	−19.5858			−0.622164			−0.311082	+	0.950383i	$0.600691\pi$
$992$	−0.825595			−0.0262127
$993$			58.5184i			1.85702i
$994$	0.402209	+	1.55534i	0.0127573	+	0.0493323i
$995$	4.73854	+	2.73580i	0.150222	+	0.0867305i
$996$	29.4020	−	16.9752i	0.931637	−	0.537881i
$997$	2.38826	+	4.13659i	0.0756370	+	0.131007i	0.901363	−	0.433064i	$-0.142568\pi$
$997$	2.38826	+	4.13659i	0.0756370	+	0.131007i	−0.825726	+	0.564071i	$0.809234\pi$
$998$	−24.5977			−0.778626
$999$	−95.5276	−	55.1529i	−3.02236	−	1.74496i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	182.2.v.a.179.5	yes	20
3.2	odd	2		1638.2.cr.c.361.10		20
7.2	even	3		182.2.o.a.23.6	✓	20
7.3	odd	6		1274.2.m.f.491.10		20
7.4	even	3		1274.2.m.g.491.6		20
7.5	odd	6		1274.2.o.h.569.10		20
7.6	odd	2		1274.2.v.h.361.1		20
13.4	even	6		182.2.o.a.95.1	yes	20
21.2	odd	6		1638.2.dt.c.1297.1		20
39.17	odd	6		1638.2.dt.c.1369.6		20
91.4	even	6		1274.2.m.g.589.6		20
91.17	odd	6		1274.2.m.f.589.10		20
91.30	even	6	inner	182.2.v.a.121.5	yes	20
91.69	odd	6		1274.2.o.h.459.5		20
91.82	odd	6		1274.2.v.h.667.1		20
273.212	odd	6		1638.2.cr.c.667.10		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
182.2.o.a.23.6	✓	20	7.2	even	3
182.2.o.a.95.1	yes	20	13.4	even	6
182.2.v.a.121.5	yes	20	91.30	even	6	inner
182.2.v.a.179.5	yes	20	1.1	even	1	trivial
1274.2.m.f.491.10		20	7.3	odd	6
1274.2.m.f.589.10		20	91.17	odd	6
1274.2.m.g.491.6		20	7.4	even	3
1274.2.m.g.589.6		20	91.4	even	6
1274.2.o.h.459.5		20	91.69	odd	6
1274.2.o.h.569.10		20	7.5	odd	6
1274.2.v.h.361.1		20	7.6	odd	2
1274.2.v.h.667.1		20	91.82	odd	6
1638.2.cr.c.361.10		20	3.2	odd	2
1638.2.cr.c.667.10		20	273.212	odd	6
1638.2.dt.c.1297.1		20	21.2	odd	6
1638.2.dt.c.1369.6		20	39.17	odd	6

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:	\( N \)	\(=\)	\( 182 = 2 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	182.v (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +3.16760 q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.91470 + 1.68280i) q^{5} +(-2.74322 - 1.58380i) q^{6} +(2.54951 + 0.707090i) q^{7} -1.00000i q^{8} +7.03369 q^{9} +3.36560 q^{10} +2.14059i q^{11} +(1.58380 + 2.74322i) q^{12} +(-1.39219 - 3.32593i) q^{13} +(-1.85440 - 1.88712i) q^{14} +(-9.23259 + 5.33044i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.38022 - 4.12266i) q^{17} +(-6.09135 - 3.51684i) q^{18} -0.984833i q^{19} +(-2.91470 - 1.68280i) q^{20} +(8.07584 + 2.23978i) q^{21} +(1.07029 - 1.85380i) q^{22} +(-1.59384 + 2.76062i) q^{23} -3.16760i q^{24} +(3.16364 - 5.47958i) q^{25} +(-0.457288 + 3.57644i) q^{26} +12.7771 q^{27} +(0.662399 + 2.56149i) q^{28} +(-2.13687 - 3.70117i) q^{29} +10.6609 q^{30} +(-0.714987 - 0.412798i) q^{31} +(0.866025 - 0.500000i) q^{32} +6.78052i q^{33} +4.76044i q^{34} +(-8.62095 + 2.22937i) q^{35} +(3.51684 + 6.09135i) q^{36} +(-7.47646 - 4.31654i) q^{37} +(-0.492417 + 0.852891i) q^{38} +(-4.40992 - 10.5352i) q^{39} +(1.68280 + 2.91470i) q^{40} +(2.86076 - 1.65166i) q^{41} +(-5.87400 - 5.97763i) q^{42} +(-2.74451 + 4.75362i) q^{43} +(-1.85380 + 1.07029i) q^{44} +(-20.5011 + 11.8363i) q^{45} +(2.76062 - 1.59384i) q^{46} +(3.48332 - 2.01109i) q^{47} +(-1.58380 + 2.74322i) q^{48} +(6.00005 + 3.60547i) q^{49} +(-5.47958 + 3.16364i) q^{50} +(-7.53958 - 13.0589i) q^{51} +(2.18424 - 2.86864i) q^{52} +(-6.53907 + 11.3260i) q^{53} +(-11.0653 - 6.38856i) q^{54} +(-3.60218 - 6.23916i) q^{55} +(0.707090 - 2.54951i) q^{56} -3.11956i q^{57} +4.27374i q^{58} +(3.09394 - 1.78629i) q^{59} +(-9.23259 - 5.33044i) q^{60} -4.07631 q^{61} +(0.412798 + 0.714987i) q^{62} +(17.9325 + 4.97345i) q^{63} -1.00000 q^{64} +(9.65470 + 7.35128i) q^{65} +(3.39026 - 5.87211i) q^{66} +0.368677i q^{67} +(2.38022 - 4.12266i) q^{68} +(-5.04865 + 8.74453i) q^{69} +(8.58065 + 2.37978i) q^{70} +(-0.525851 - 0.303600i) q^{71} -7.03369i q^{72} +(-5.58833 - 3.22642i) q^{73} +(4.31654 + 7.47646i) q^{74} +(10.0211 - 17.3571i) q^{75} +(0.852891 - 0.492417i) q^{76} +(-1.51359 + 5.45746i) q^{77} +(-1.44850 + 11.3287i) q^{78} +(4.91689 + 8.51630i) q^{79} -3.36560i q^{80} +19.3717 q^{81} -3.30333 q^{82} -10.7180i q^{83} +(2.09822 + 8.11377i) q^{84} +(13.8752 + 8.01087i) q^{85} +(4.75362 - 2.74451i) q^{86} +(-6.76875 - 11.7238i) q^{87} +2.14059 q^{88} +(-4.30275 - 2.48419i) q^{89} +23.6726 q^{90} +(-1.19769 - 9.46391i) q^{91} -3.18768 q^{92} +(-2.26479 - 1.30758i) q^{93} -4.02219 q^{94} +(1.65728 + 2.87049i) q^{95} +(2.74322 - 1.58380i) q^{96} +(10.0273 + 5.78928i) q^{97} +(-3.39346 - 6.12245i) q^{98} +15.0562i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 4 q^{3} + 10 q^{4} - 2 q^{7} + 32 q^{9} + 8 q^{10} - 2 q^{12} + 6 q^{13} - 4 q^{14} - 12 q^{15} - 10 q^{16} - 10 q^{17} - 24 q^{18} + 14 q^{21} + 2 q^{22} + 18 q^{25} - 6 q^{26} - 28 q^{27} - 4 q^{28}+ \cdots + 12 q^{98}+O(q^{100}) \) 20 * q - 4 * q^3 + 10 * q^4 - 2 * q^7 + 32 * q^9 + 8 * q^10 - 2 * q^12 + 6 * q^13 - 4 * q^14 - 12 * q^15 - 10 * q^16 - 10 * q^17 - 24 * q^18 + 14 * q^21 + 2 * q^22 + 18 * q^25 - 6 * q^26 - 28 * q^27 - 4 * q^28 + 2 * q^29 + 4 * q^30 + 6 * q^31 - 36 * q^35 + 16 * q^36 - 36 * q^37 - 14 * q^38 - 26 * q^39 + 4 * q^40 + 18 * q^41 - 4 * q^42 + 8 * q^43 - 6 * q^44 - 60 * q^45 + 12 * q^46 - 18 * q^47 + 2 * q^48 - 12 * q^50 - 22 * q^51 - 4 * q^53 - 18 * q^54 + 2 * q^55 - 2 * q^56 - 12 * q^60 + 8 * q^61 - 24 * q^62 + 64 * q^63 - 20 * q^64 - 18 * q^65 + 32 * q^66 + 10 * q^68 - 34 * q^69 + 48 * q^70 - 18 * q^71 + 72 * q^73 + 12 * q^74 - 18 * q^75 + 24 * q^76 + 42 * q^77 + 20 * q^78 + 42 * q^79 + 4 * q^81 + 32 * q^82 + 16 * q^84 - 12 * q^85 - 42 * q^86 - 64 * q^87 + 4 * q^88 - 18 * q^89 + 52 * q^90 + 60 * q^91 + 60 * q^93 - 32 * q^94 - 12 * q^95 + 78 * q^97 + 12 * q^98

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