LMFDB - Embedded newform 360.2.bk.a.349.52

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(229,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))

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

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

chi := DirichletCharacter("360.229");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bk (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$136$
Relative dimension:	$68$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			349.52
Character	$\chi$	$=$	360.349
Dual form			360.2.bk.a.229.52

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.00550 - 0.994471i) q^{2} +(1.61972 - 0.613615i) q^{3} +(0.0220563 - 1.99988i) q^{4} +(-2.14379 - 0.635725i) q^{5} +(1.01840 - 2.22775i) q^{6} +(-2.84021 - 1.63979i) q^{7} +(-1.96664 - 2.03281i) q^{8} +(2.24695 - 1.98776i) q^{9} +O(q^{10})$	\(q+(1.00550 - 0.994471i) q^{2} +(1.61972 - 0.613615i) q^{3} +(0.0220563 - 1.99988i) q^{4} +(-2.14379 - 0.635725i) q^{5} +(1.01840 - 2.22775i) q^{6} +(-2.84021 - 1.63979i) q^{7} +(-1.96664 - 2.03281i) q^{8} +(2.24695 - 1.98776i) q^{9} +(-2.78779 + 1.49272i) q^{10} +(3.03119 + 1.75006i) q^{11} +(-1.19143 - 3.25277i) q^{12} +(1.33411 + 2.31075i) q^{13} +(-4.48655 + 1.17569i) q^{14} +(-3.86243 + 0.285769i) q^{15} +(-3.99903 - 0.0882200i) q^{16} -2.30892i q^{17} +(0.282539 - 4.23322i) q^{18} +2.32500i q^{19} +(-1.31866 + 4.27331i) q^{20} +(-5.60653 - 0.913207i) q^{21} +(4.78825 - 1.25475i) q^{22} +(7.18333 - 4.14730i) q^{23} +(-4.43276 - 2.08581i) q^{24} +(4.19171 + 2.72573i) q^{25} +(3.63942 + 0.996721i) q^{26} +(2.41971 - 4.59837i) q^{27} +(-3.34203 + 5.64390i) q^{28} +(1.03606 + 0.598167i) q^{29} +(-3.59948 + 4.12841i) q^{30} +(3.25135 + 5.63150i) q^{31} +(-4.10875 + 3.88821i) q^{32} +(5.98353 + 0.974614i) q^{33} +(-2.29615 - 2.32162i) q^{34} +(5.04636 + 5.32097i) q^{35} +(-3.92572 - 4.53748i) q^{36} +5.63974 q^{37} +(2.31215 + 2.33779i) q^{38} +(3.57879 + 2.92412i) q^{39} +(2.92377 + 5.60817i) q^{40} +(-3.64826 - 6.31897i) q^{41} +(-6.54552 + 4.65730i) q^{42} +(-4.21679 + 7.30370i) q^{43} +(3.56676 - 6.02342i) q^{44} +(-6.08068 + 2.83291i) q^{45} +(3.09847 - 11.3137i) q^{46} +(-9.22198 - 5.32431i) q^{47} +(-6.53142 + 2.31097i) q^{48} +(1.87785 + 3.25254i) q^{49} +(6.92541 - 1.42781i) q^{50} +(-1.41679 - 3.73979i) q^{51} +(4.65064 - 2.61709i) q^{52} +3.72808 q^{53} +(-2.13993 - 7.02998i) q^{54} +(-5.38570 - 5.67878i) q^{55} +(2.25228 + 8.99849i) q^{56} +(1.42666 + 3.76584i) q^{57} +(1.63661 - 0.428871i) q^{58} +(-7.91035 + 4.56704i) q^{59} +(0.486313 + 7.73069i) q^{60} +(5.57350 + 3.21786i) q^{61} +(8.86959 + 2.42910i) q^{62} +(-9.64134 + 1.96111i) q^{63} +(-0.264633 + 7.99562i) q^{64} +(-1.39106 - 5.80190i) q^{65} +(6.98566 - 4.97047i) q^{66} +(-0.933536 - 1.61693i) q^{67} +(-4.61756 - 0.0509263i) q^{68} +(9.09011 - 11.1252i) q^{69} +(10.3657 + 0.331776i) q^{70} -1.63279 q^{71} +(-8.45970 - 0.658413i) q^{72} +3.29802i q^{73} +(5.67076 - 5.60856i) q^{74} +(8.46192 + 1.84281i) q^{75} +(4.64972 + 0.0512811i) q^{76} +(-5.73948 - 9.94107i) q^{77} +(6.50643 - 0.618797i) q^{78} +(-8.17291 + 14.1559i) q^{79} +(8.51701 + 2.73141i) q^{80} +(1.09760 - 8.93282i) q^{81} +(-9.95235 - 2.72563i) q^{82} +(-4.38578 + 7.59640i) q^{83} +(-1.94996 + 11.1922i) q^{84} +(-1.46784 + 4.94985i) q^{85} +(3.02333 + 11.5373i) q^{86} +(2.04516 + 0.333121i) q^{87} +(-2.40373 - 9.60358i) q^{88} +11.0639 q^{89} +(-3.29687 + 8.89554i) q^{90} -8.75068i q^{91} +(-8.13565 - 14.4573i) q^{92} +(8.72183 + 7.12636i) q^{93} +(-14.5676 + 3.81740i) q^{94} +(1.47806 - 4.98433i) q^{95} +(-4.26914 + 8.81898i) q^{96} +(-10.8001 - 6.23542i) q^{97} +(5.12274 + 1.40295i) q^{98} +(10.2897 - 2.09299i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) $ 136 * q - 2 * q^4 - 8 * q^9	$ 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) $ 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$-1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	1.00550	−	0.994471i	0.710995	−	0.703197i
$2$	1.00550	−	0.994471i	0.710995	−	0.703197i
$3$	1.61972	−	0.613615i	0.935143	−	0.354271i
$3$	1.61972	−	0.613615i	0.935143	−	0.354271i
$4$	0.0220563	−	1.99988i	0.0110282	−	0.999939i
$5$	−2.14379	−	0.635725i	−0.958734	−	0.284305i
$5$	−2.14379	−	0.635725i	−0.958734	−	0.284305i
$6$	1.01840	−	2.22775i	0.415760	−	0.909474i
$7$	−2.84021	−	1.63979i	−1.07350	−	0.619784i	−0.144363	−	0.989525i	$-0.546113\pi$
$7$	−2.84021	−	1.63979i	−1.07350	−	0.619784i	−0.929135	+	0.369741i	$0.879447\pi$
$8$	−1.96664	−	2.03281i	−0.695313	−	0.718707i
$9$	2.24695	−	1.98776i	0.748985	−	0.662587i
$10$	−2.78779	+	1.49272i	−0.881578	+	0.472039i
$11$	3.03119	+	1.75006i	0.913939	+	0.527663i	0.881696	−	0.471817i	$-0.156402\pi$
$11$	3.03119	+	1.75006i	0.913939	+	0.527663i	0.0322427	+	0.999480i	$0.489735\pi$
$12$	−1.19143	−	3.25277i	−0.343936	−	0.938993i
$13$	1.33411	+	2.31075i	0.370016	+	0.640886i	0.989568	−	0.144069i	$-0.0460189\pi$
$13$	1.33411	+	2.31075i	0.370016	+	0.640886i	−0.619552	+	0.784956i	$0.712686\pi$
$14$	−4.48655	+	1.17569i	−1.19908	+	0.314217i
$15$	−3.86243	+	0.285769i	−0.997274	+	0.0737854i
$16$	−3.99903	−	0.0882200i	−0.999757	−	0.0220550i
$17$		−	2.30892i		−	0.559995i	−0.960001	−	0.279998i	$-0.909666\pi$
$17$		−	2.30892i		−	0.559995i	0.960001	−	0.279998i	$-0.0903337\pi$
$18$	0.282539	−	4.23322i	0.0665951	−	0.997780i
$19$			2.32500i			0.533392i	0.963781	+	0.266696i	$0.0859320\pi$
$19$			2.32500i			0.533392i	−0.963781	+	0.266696i	$0.914068\pi$
$20$	−1.31866	+	4.27331i	−0.294861	+	0.955540i
$21$	−5.60653	−	0.913207i	−1.22345	−	0.199278i
$22$	4.78825	−	1.25475i	1.02086	−	0.267513i
$23$	7.18333	−	4.14730i	1.49783	−	0.864771i	0.497831	−	0.867274i	$-0.334130\pi$
$23$	7.18333	−	4.14730i	1.49783	−	0.864771i	0.999997	+	0.00250278i	$0.000796661\pi$
$24$	−4.43276	−	2.08581i	−0.904834	−	0.425765i
$25$	4.19171	+	2.72573i	0.838341	+	0.545146i
$26$	3.63942	+	0.996721i	0.713749	+	0.195473i
$27$	2.41971	−	4.59837i	0.465673	−	0.884957i
$28$	−3.34203	+	5.64390i	−0.631585	+	1.06660i
$29$	1.03606	+	0.598167i	0.192391	+	0.111077i	0.593101	−	0.805128i	$-0.297903\pi$
$29$	1.03606	+	0.598167i	0.192391	+	0.111077i	−0.400711	+	0.916205i	$0.631237\pi$
$30$	−3.59948	+	4.12841i	−0.657171	+	0.753741i
$31$	3.25135	+	5.63150i	0.583960	+	1.01145i	0.995004	+	0.0998327i	$0.0318308\pi$
$31$	3.25135	+	5.63150i	0.583960	+	1.01145i	−0.411044	+	0.911615i	$0.634836\pi$
$32$	−4.10875	+	3.88821i	−0.726331	+	0.687345i
$33$	5.98353	+	0.974614i	1.04160	+	0.169659i
$34$	−2.29615	−	2.32162i	−0.393787	−	0.398154i
$35$	5.04636	+	5.32097i	0.852991	+	0.899409i
$36$	−3.92572	−	4.53748i	−0.654287	−	0.756246i
$37$	5.63974			0.927168			0.463584	−	0.886053i	$-0.346563\pi$
$37$	5.63974			0.927168			0.463584	+	0.886053i	$0.346563\pi$
$38$	2.31215	+	2.33779i	0.375080	+	0.379239i
$39$	3.57879	+	2.92412i	0.573065	+	0.468235i
$40$	2.92377	+	5.60817i	0.462288	+	0.886730i
$41$	−3.64826	−	6.31897i	−0.569762	−	0.986857i	−0.996589	−	0.0825237i	$-0.973702\pi$
$41$	−3.64826	−	6.31897i	−0.569762	−	0.986857i	0.426827	−	0.904333i	$-0.359631\pi$
$42$	−6.54552	+	4.65730i	−1.01000	+	0.718637i
$43$	−4.21679	+	7.30370i	−0.643055	+	1.11380i	0.341693	+	0.939812i	$0.389000\pi$
$43$	−4.21679	+	7.30370i	−0.643055	+	1.11380i	−0.984747	+	0.173991i	$0.944334\pi$
$44$	3.56676	−	6.02342i	0.537710	−	0.908064i
$45$	−6.08068	+	2.83291i	−0.906454	+	0.422305i
$46$	3.09847	−	11.3137i	0.456844	−	1.66812i
$47$	−9.22198	−	5.32431i	−1.34516	−	0.776631i	−0.357604	−	0.933873i	$-0.616406\pi$
$47$	−9.22198	−	5.32431i	−1.34516	−	0.776631i	−0.987560	+	0.157243i	$0.949739\pi$
$48$	−6.53142	+	2.31097i	−0.942729	+	0.333560i
$49$	1.87785	+	3.25254i	0.268265	+	0.464648i
$50$	6.92541	−	1.42781i	0.979401	−	0.201923i
$51$	−1.41679	−	3.73979i	−0.198390	−	0.523676i
$52$	4.65064	−	2.61709i	0.644928	−	0.362926i
$53$	3.72808			0.512091			0.256045	−	0.966665i	$-0.417580\pi$
$53$	3.72808			0.512091			0.256045	+	0.966665i	$0.417580\pi$
$54$	−2.13993	−	7.02998i	−0.291208	−	0.956660i
$55$	−5.38570	−	5.67878i	−0.726207	−	0.765726i
$56$	2.25228	+	8.99849i	0.300974	+	1.20247i
$57$	1.42666	+	3.76584i	0.188965	+	0.498798i
$58$	1.63661	−	0.428871i	0.214898	−	0.0563135i
$59$	−7.91035	+	4.56704i	−1.02984	+	0.594579i	−0.916939	−	0.399028i	$-0.869348\pi$
$59$	−7.91035	+	4.56704i	−1.02984	+	0.594579i	−0.112901	+	0.993606i	$0.536014\pi$
$60$	0.486313	+	7.73069i	0.0627828	+	0.998027i
$61$	5.57350	+	3.21786i	0.713614	+	0.412005i	0.812398	−	0.583104i	$-0.198162\pi$
$61$	5.57350	+	3.21786i	0.713614	+	0.412005i	−0.0987838	+	0.995109i	$0.531495\pi$
$62$	8.86959	+	2.42910i	1.12644	+	0.308496i
$63$	−9.64134	+	1.96111i	−1.21469	+	0.247077i
$64$	−0.264633	+	7.99562i	−0.0330791	+	0.999453i
$65$	−1.39106	−	5.80190i	−0.172540	−	0.719637i
$66$	6.98566	−	4.97047i	0.859875	−	0.611823i
$67$	−0.933536	−	1.61693i	−0.114050	−	0.197540i	0.803350	−	0.595507i	$-0.203049\pi$
$67$	−0.933536	−	1.61693i	−0.114050	−	0.197540i	−0.917399	+	0.397968i	$0.869716\pi$
$68$	−4.61756	−	0.0509263i	−0.559961	−	0.00617572i
$69$	9.09011	−	11.1252i	1.09432	−	1.33932i
$70$	10.3657	+	0.331776i	1.23893	+	0.0396548i
$71$	−1.63279			−0.193777			−0.0968884	−	0.995295i	$-0.530889\pi$
$71$	−1.63279			−0.193777			−0.0968884	+	0.995295i	$0.530889\pi$
$72$	−8.45970	−	0.658413i	−0.996985	−	0.0775947i
$73$			3.29802i			0.386004i	0.981198	+	0.193002i	$0.0618223\pi$
$73$			3.29802i			0.386004i	−0.981198	+	0.193002i	$0.938178\pi$
$74$	5.67076	−	5.60856i	0.659212	−	0.651982i
$75$	8.46192	+	1.84281i	0.977098	+	0.212790i
$76$	4.64972	+	0.0512811i	0.533360	+	0.00588234i
$77$	−5.73948	−	9.94107i	−0.654074	−	1.13289i
$78$	6.50643	−	0.618797i	0.736708	−	0.0700650i
$79$	−8.17291	+	14.1559i	−0.919524	+	1.59266i	−0.119385	+	0.992848i	$0.538092\pi$
$79$	−8.17291	+	14.1559i	−0.919524	+	1.59266i	−0.800139	+	0.599814i	$0.795241\pi$
$80$	8.51701	+	2.73141i	0.952230	+	0.305381i
$81$	1.09760	−	8.93282i	0.121956	−	0.992535i
$82$	−9.95235	−	2.72563i	−1.09905	−	0.300996i
$83$	−4.38578	+	7.59640i	−0.481402	+	0.833813i	−0.999772	−	0.0213434i	$-0.993206\pi$
$83$	−4.38578	+	7.59640i	−0.481402	+	0.833813i	0.518370	+	0.855156i	$0.326539\pi$
$84$	−1.94996	+	11.1922i	−0.212758	+	1.22117i
$85$	−1.46784	+	4.94985i	−0.159210	+	0.536887i
$86$	3.02333	+	11.5373i	0.326014	+	1.24410i
$87$	2.04516	+	0.333121i	0.219264	+	0.0357143i
$88$	−2.40373	−	9.60358i	−0.256239	−	1.02375i
$89$	11.0639			1.17277			0.586385	−	0.810032i	$-0.300550\pi$
$89$	11.0639			1.17277			0.586385	+	0.810032i	$0.300550\pi$
$90$	−3.29687	+	8.89554i	−0.347521	+	0.937672i
$91$		−	8.75068i		−	0.917320i
$92$	−8.13565	−	14.4573i	−0.848200	−	1.50727i
$93$	8.72183	+	7.12636i	0.904412	+	0.738969i
$94$	−14.5676	+	3.81740i	−1.50253	+	0.393734i
$95$	1.47806	−	4.98433i	0.151646	−	0.511381i
$96$	−4.26914	+	8.81898i	−0.435717	+	0.900084i
$97$	−10.8001	−	6.23542i	−1.09658	−	0.633111i	−0.161260	−	0.986912i	$-0.551556\pi$
$97$	−10.8001	−	6.23542i	−1.09658	−	0.633111i	−0.935321	+	0.353801i	$0.884889\pi$
$98$	5.12274	+	1.40295i	0.517474	+	0.141720i
$99$	10.2897	−	2.09299i	1.03415	−	0.210353i
$100$	5.54358	−	8.32278i	0.554358	−	0.832278i
$101$	2.86970	+	1.65682i	0.285546	+	0.164860i	0.635931	−	0.771746i	$-0.280616\pi$
$101$	2.86970	+	1.65682i	0.285546	+	0.164860i	−0.350386	+	0.936606i	$0.613949\pi$
$102$	−5.14369	−	2.35140i	−0.509301	−	0.232824i
$103$	−7.06066	+	4.07647i	−0.695707	+	0.401667i	−0.805747	−	0.592260i	$-0.798236\pi$
$103$	−7.06066	+	4.07647i	−0.695707	+	0.401667i	0.110039	+	0.993927i	$0.464902\pi$
$104$	2.07359	−	7.25641i	0.203333	−	0.711550i
$105$	11.4387	+	5.52194i	1.11630	+	0.538886i
$106$	3.74858	−	3.70746i	0.364094	−	0.360100i
$107$	5.18590			0.501340			0.250670	−	0.968073i	$-0.419349\pi$
$107$	5.18590			0.501340			0.250670	+	0.968073i	$0.419349\pi$
$108$	−9.14281	−	4.94054i	−0.879768	−	0.475404i
$109$			6.04607i			0.579108i	0.957162	+	0.289554i	$0.0935070\pi$
$109$			6.04607i			0.579108i	−0.957162	+	0.289554i	$0.906493\pi$
$110$	−11.0627	−	0.354086i	−1.05479	−	0.0337608i
$111$	9.13478	−	3.46063i	0.867035	−	0.328468i
$112$	11.2134	+	6.80815i	1.05957	+	0.643309i
$113$	7.20983	−	4.16260i	0.678244	−	0.391584i	−0.120949	−	0.992659i	$-0.538594\pi$
$113$	7.20983	−	4.16260i	0.678244	−	0.391584i	0.799193	+	0.601075i	$0.205261\pi$
$114$	5.17952	+	2.36778i	0.485107	+	0.221763i
$115$	−18.0361	+	4.32433i	−1.68188	+	0.403246i
$116$	1.21911	−	2.05879i	0.113192	−	0.191154i
$117$	7.59091	+	2.54025i	0.701779	+	0.234846i
$118$	−3.41206	+	12.4588i	−0.314106	+	1.14692i
$119$	−3.78616	+	6.55781i	−0.347076	+	0.601154i
$120$	8.17693	+	7.28957i	0.746448	+	0.665444i
$121$	0.625421	+	1.08326i	0.0568565	+	0.0984783i
$122$	8.80422	−	2.30713i	0.797097	−	0.208877i
$123$	−9.78655	−	7.99630i	−0.882423	−	0.721002i
$124$	11.3340	−	6.37809i	1.01783	−	0.572770i
$125$	−7.25334	−	8.50818i	−0.648758	−	0.760994i
$126$	−7.74409	+	11.5599i	−0.689898	+	1.02984i
$127$			8.27808i			0.734560i	0.930110	+	0.367280i	$0.119711\pi$
$127$			8.27808i			0.734560i	−0.930110	+	0.367280i	$0.880289\pi$
$128$	7.68532	+	8.30276i	0.679293	+	0.733867i
$129$	−2.34834	+	14.4174i	−0.206760	+	1.26938i
$130$	−7.16853	−	4.45044i	−0.628721	−	0.390329i
$131$	−8.46318	+	4.88622i	−0.739432	+	0.426911i	−0.821863	−	0.569686i	$-0.807065\pi$
$131$	−8.46318	+	4.88622i	−0.739432	+	0.426911i	0.0824310	+	0.996597i	$0.473732\pi$
$132$	2.08108	−	11.9448i	0.181135	−	1.03966i
$133$	3.81253	−	6.60349i	0.330588	−	0.572595i
$134$	−2.54666	−	0.697449i	−0.219998	−	0.0602505i
$135$	−8.11065	+	8.31969i	−0.698054	+	0.716045i
$136$	−4.69360	+	4.54082i	−0.402473	+	0.389372i
$137$	17.5972	+	10.1597i	1.50343	+	0.868004i	0.999992	+	0.00397130i	$0.00126411\pi$
$137$	17.5972	+	10.1597i	1.50343	+	0.868004i	0.503435	+	0.864033i	$0.332069\pi$
$138$	−1.92363	−	20.2263i	−0.163750	−	1.72177i
$139$	16.5871	−	9.57655i	1.40690	−	0.812273i	0.411810	−	0.911270i	$-0.364897\pi$
$139$	16.5871	−	9.57655i	1.40690	−	0.812273i	0.995088	+	0.0989972i	$0.0315635\pi$
$140$	10.7526	−	9.97475i	0.908761	−	0.843020i
$141$	−18.2041	−	2.96513i	−1.53306	−	0.249709i
$142$	−1.64177	+	1.62376i	−0.137774	+	0.136263i
$143$			9.33910i			0.780975i
$144$	−9.16099	+	7.75089i	−0.763416	+	0.645907i
$145$	−1.84082	−	1.94099i	−0.152872	−	0.161191i
$146$	3.27978	+	3.31615i	0.271437	+	0.274447i
$147$	5.03739	+	4.11591i	0.415477	+	0.339474i
$148$	0.124392	−	11.2788i	0.0102250	−	0.927112i
$149$	7.89910	−	4.56055i	0.647120	−	0.373615i	−0.140232	−	0.990119i	$-0.544785\pi$
$149$	7.89910	−	4.56055i	0.647120	−	0.373615i	0.787352	+	0.616504i	$0.211452\pi$
$150$	10.3411	−	6.56218i	0.844345	−	0.535800i
$151$	1.49649	−	2.59199i	0.121782	−	0.210933i	−0.798688	−	0.601745i	$-0.794472\pi$
$151$	1.49649	−	2.59199i	0.121782	−	0.210933i	0.920471	+	0.390812i	$0.127806\pi$
$152$	4.72629	−	4.57245i	0.383353	−	0.370875i
$153$	−4.58958	−	5.18804i	−0.371046	−	0.419428i
$154$	−15.6571	−	4.28799i	−1.26169	−	0.345536i
$155$	−3.39014	−	14.1398i	−0.272302	−	1.13573i
$156$	5.92683	−	7.09265i	0.474526	−	0.567866i
$157$	−7.80359	−	13.5162i	−0.622795	−	1.07871i	−0.988963	−	0.148163i	$-0.952664\pi$
$157$	−7.80359	−	13.5162i	−0.622795	−	1.07871i	0.366168	−	0.930549i	$-0.380669\pi$
$158$	5.85977	+	22.3615i	0.466178	+	1.77898i
$159$	6.03842	−	2.28760i	0.478878	−	0.181419i
$160$	11.2801	−	5.72348i	0.891774	−	0.452481i
$161$	−27.2029			−2.14389
$162$	−7.77979	−	10.0735i	−0.611238	−	0.791447i
$163$	−21.9259			−1.71737			−0.858685	−	0.512503i	$-0.828718\pi$
$163$	−21.9259			−1.71737			−0.858685	+	0.512503i	$0.828718\pi$
$164$	−12.7176	+	7.15670i	−0.993080	+	0.558844i
$165$	−12.2079	−	5.89326i	−0.950382	−	0.458789i
$166$	3.14450	+	11.9997i	0.244060	+	0.931358i
$167$	5.88154	−	3.39571i	0.455127	−	0.262768i	−0.254866	−	0.966976i	$-0.582031\pi$
$167$	5.88154	−	3.39571i	0.455127	−	0.262768i	0.709993	+	0.704209i	$0.248698\pi$
$168$	9.16966	+	13.1930i	0.707455	+	1.01786i
$169$	2.94029	−	5.09274i	0.226176	−	0.391749i
$170$	3.44657	+	6.43679i	0.264340	+	0.493679i
$171$	4.62155	+	5.22418i	0.353419	+	0.399503i
$172$	14.5135	+	8.59416i	1.10664	+	0.655299i
$173$	1.79414	−	3.10755i	0.136406	−	0.236262i	−0.789728	−	0.613458i	$-0.789778\pi$
$173$	1.79414	−	3.10755i	0.136406	−	0.236262i	0.926134	+	0.377195i	$0.123111\pi$
$174$	2.38769	−	1.69890i	0.181010	−	0.128793i
$175$	−7.43568	−	14.6152i	−0.562085	−	1.10480i
$176$	−11.9674	−	7.26595i	−0.902079	−	0.547692i
$177$	−10.0101	+	12.2512i	−0.752406	+	0.920858i
$178$	11.1247	−	11.0027i	0.833834	−	0.824689i
$179$		−	12.1504i		−	0.908167i	−0.890959	−	0.454083i	$-0.849967\pi$
$179$		−	12.1504i		−	0.908167i	0.890959	−	0.454083i	$-0.150033\pi$
$180$	5.53135	+	12.2231i	0.412283	+	0.911056i
$181$			9.50793i			0.706719i	0.935488	+	0.353359i	$0.114961\pi$
$181$			9.50793i			0.706719i	−0.935488	+	0.353359i	$0.885039\pi$
$182$	−8.70229	−	8.79880i	−0.645057	−	0.652210i
$183$	11.0020	+	1.79204i	0.813292	+	0.132471i
$184$	−22.5577	−	6.44609i	−1.66298	−	0.475212i
$185$	−12.0904	−	3.58533i	−0.888907	−	0.263599i
$186$	15.8567	−	1.50807i	1.16267	−	0.110577i
$187$	4.04075	−	6.99878i	0.295489	−	0.511802i
$188$	−10.8514	+	18.3254i	−0.791418	+	1.33652i
$189$	−14.4129	+	9.09251i	−1.04838	+	0.661383i
$190$	−3.47058	−	6.48163i	−0.251782	−	0.470227i
$191$	−3.43460	+	5.94889i	−0.248519	+	0.430447i	−0.963115	−	0.269090i	$-0.913277\pi$
$191$	−3.43460	+	5.94889i	−0.248519	+	0.430447i	0.714596	+	0.699537i	$0.246610\pi$
$192$	4.47760	+	13.1130i	0.323143	+	0.946350i
$193$	−2.75930	+	1.59308i	−0.198619	+	0.114673i	−0.596011	−	0.802976i	$-0.703249\pi$
$193$	−2.75930	+	1.59308i	−0.198619	+	0.114673i	0.397392	+	0.917649i	$0.369915\pi$
$194$	−17.0604	+	4.47064i	−1.22487	+	0.320973i
$195$	−5.81325	−	8.54385i	−0.416295	−	0.611838i
$196$	6.54610	−	3.68374i	0.467579	−	0.263124i
$197$	−25.9569			−1.84935			−0.924676	−	0.380754i	$-0.875664\pi$
$197$	−25.9569			−1.84935			−0.924676	+	0.380754i	$0.875664\pi$
$198$	8.26482	−	12.3373i	0.587356	−	0.876770i
$199$	8.11024			0.574920			0.287460	−	0.957793i	$-0.407189\pi$
$199$	8.11024			0.574920			0.287460	+	0.957793i	$0.407189\pi$
$200$	−2.70270	−	13.8815i	−0.191110	−	0.981569i
$201$	−2.50424	−	2.04614i	−0.176635	−	0.144323i
$202$	4.53314	−	1.18790i	0.318951	−	0.0835804i
$203$	−1.96174	−	3.39784i	−0.137687	−	0.238482i
$204$	−7.51038	+	2.75092i	−0.525832	+	0.192603i
$205$	3.80399	+	15.8659i	0.265682	+	1.10812i
$206$	−3.04555	+	11.1205i	−0.212194	+	0.774802i
$207$	7.89677	−	23.5975i	0.548864	−	1.64014i
$208$	−5.13129	−	9.35844i	−0.355791	−	0.648891i
$209$	−4.06890	+	7.04753i	−0.281451	+	0.487488i
$210$	16.9930	−	5.82314i	1.17263	−	0.401835i
$211$	6.34231	−	3.66174i	0.436623	−	0.252084i	−0.265541	−	0.964100i	$-0.585551\pi$
$211$	6.34231	−	3.66174i	0.436623	−	0.252084i	0.702164	+	0.712015i	$0.252217\pi$
$212$	0.0822277	−	7.45570i	0.00564742	−	0.512059i
$213$	−2.64466	+	1.00191i	−0.181209	+	0.0686494i
$214$	5.21442	−	5.15722i	0.356450	−	0.352541i
$215$	13.6831	−	12.9769i	0.933178	−	0.885017i
$216$	−14.1063	+	4.12455i	−0.959813	+	0.280640i
$217$		−	21.3262i		−	1.44772i
$218$	6.01264	+	6.07931i	0.407227	+	0.411743i
$219$	2.02371	+	5.34185i	0.136750	+	0.360969i
$220$	−11.4756	+	10.6455i	−0.773688	+	0.717718i
$221$	5.33533	−	3.08036i	0.358893	−	0.207207i
$222$	5.74352	−	12.5639i	0.385480	−	0.843236i
$223$	3.44910	+	1.99134i	0.230969	+	0.133350i	0.611019	−	0.791616i	$-0.290760\pi$
$223$	3.44910	+	1.99134i	0.230969	+	0.133350i	−0.380050	+	0.924966i	$0.624093\pi$
$224$	18.0456	−	4.30582i	1.20572	−	0.287695i
$225$	14.8367	−	2.20753i	0.989111	−	0.147168i
$226$	3.10990	−	11.3554i	0.206867	−	0.755353i
$227$	−9.88039	+	17.1133i	−0.655785	+	1.13585i	0.325912	+	0.945400i	$0.394329\pi$
$227$	−9.88039	+	17.1133i	−0.655785	+	1.13585i	−0.981696	+	0.190452i	$0.939005\pi$
$228$	7.56270	−	2.77008i	0.500852	−	0.183453i
$229$	−0.307588	+	0.177586i	−0.0203260	+	0.0117352i	−0.510129	−	0.860098i	$-0.670402\pi$
$229$	−0.307588	+	0.177586i	−0.0203260	+	0.0117352i	0.489803	+	0.871833i	$0.337069\pi$
$230$	−13.8349	+	22.2845i	−0.912245	+	1.46940i
$231$	−15.3963	−	12.5799i	−1.01300	−	0.827695i
$232$	−0.821592	−	3.28249i	−0.0539401	−	0.215506i
$233$		−	0.644676i		−	0.0422341i	−0.999777	−	0.0211171i	$-0.993278\pi$
$233$		−	0.644676i		−	0.0422341i	0.999777	−	0.0211171i	$-0.00672227\pi$
$234$	10.1589	−	4.99471i	0.664105	−	0.326515i
$235$	16.3852	+	17.2769i	1.06885	+	1.12702i
$236$	8.95906	+	15.9205i	0.583185	+	1.03633i
$237$	−4.55152	+	27.9435i	−0.295653	+	1.81513i
$238$	2.71458	+	10.3591i	0.175960	+	0.671480i
$239$	−11.4389	−	19.8127i	−0.739920	−	1.28158i	−0.952531	−	0.304442i	$-0.901530\pi$
$239$	−11.4389	−	19.8127i	−0.739920	−	1.28158i	0.212611	−	0.977137i	$-0.431803\pi$
$240$	15.4712	−	0.802057i	0.998659	−	0.0517725i
$241$	−6.23589	+	10.8009i	−0.401689	+	0.695746i	−0.993930	−	0.110015i	$-0.964910\pi$
$241$	−6.23589	+	10.8009i	−0.401689	+	0.695746i	0.592241	+	0.805761i	$0.298243\pi$
$242$	1.70613	+	0.467255i	0.109674	+	0.0300363i
$243$	−3.70350	−	15.1421i	−0.237580	−	0.971368i
$244$	6.55827	−	11.0754i	0.419850	−	0.709027i
$245$	−1.95801	−	8.16657i	−0.125093	−	0.521743i
$246$	−17.7925	+	1.69216i	−1.13441	+	0.107888i
$247$	−5.37250	+	3.10181i	−0.341844	+	0.197364i
$248$	5.05353	−	17.6845i	0.320900	−	1.12297i
$249$	−2.44246	+	14.9952i	−0.154784	+	0.950281i
$250$	−15.7544	−	1.34173i	−0.996393	−	0.0848583i
$251$			24.4329i			1.54219i	0.636718	+	0.771097i	$0.280292\pi$
$251$			24.4329i			1.54219i	−0.636718	+	0.771097i	$0.719708\pi$
$252$	3.70934	+	19.3248i	0.233666	+	1.21735i
$253$	29.0321			1.82523
$254$	8.23230	+	8.32360i	0.516541	+	0.522269i
$255$	0.659819	+	8.91803i	0.0413195	+	0.558469i
$256$	15.9844	+	0.705588i	0.999027	+	0.0440993i
$257$	−16.8007	+	9.69988i	−1.04800	+	0.605062i	−0.922088	−	0.386980i	$-0.873518\pi$
$257$	−16.8007	+	9.69988i	−1.04800	+	0.605062i	−0.125910	+	0.992042i	$0.540185\pi$
$258$	11.9764	+	16.8320i	0.745619	+	1.04792i
$259$	−16.0180	−	9.24802i	−0.995313	−	0.574644i
$260$	−11.6338	+	2.65398i	−0.721496	+	0.164593i
$261$	3.51698	−	0.715378i	0.217696	−	0.0442808i
$262$	−3.65052	+	13.3295i	−0.225530	+	0.823498i
$263$	−4.33054	−	2.50024i	−0.267033	−	0.154171i	0.360506	−	0.932757i	$-0.382604\pi$
$263$	−4.33054	−	2.50024i	−0.267033	−	0.154171i	−0.627538	+	0.778586i	$0.715937\pi$
$264$	−9.78626	−	14.0801i	−0.602303	−	0.866570i
$265$	−7.99223	−	2.37003i	−0.490959	−	0.145590i
$266$	−2.73349	−	10.4313i	−0.167601	−	0.639581i
$267$	17.9204	−	6.78897i	1.09671	−	0.415478i
$268$	−3.25426	+	1.83130i	−0.198786	+	0.111864i
$269$		−	26.0223i		−	1.58661i	−0.608827	−	0.793303i	$-0.708360\pi$
$269$		−	26.0223i		−	1.58661i	0.608827	−	0.793303i	$-0.291640\pi$
$270$	0.118439	+	16.4312i	0.00720799	+	0.999974i
$271$	6.74774			0.409896			0.204948	−	0.978773i	$-0.434298\pi$
$271$	6.74774			0.409896			0.204948	+	0.978773i	$0.434298\pi$
$272$	−0.203693	+	9.23343i	−0.0123507	+	0.559859i
$273$	−5.36954	−	14.1736i	−0.324980	−	0.857825i
$274$	27.7975	−	7.28427i	1.67931	−	0.440059i
$275$	7.93568	+	15.5979i	0.478540	+	0.940592i
$276$	−22.0486	−	18.4245i	−1.32717	−	1.10902i
$277$	2.88648	−	4.99953i	0.173432	−	0.300393i	−0.766186	−	0.642619i	$-0.777848\pi$
$277$	2.88648	−	4.99953i	0.173432	−	0.300393i	0.939617	+	0.342227i	$0.111181\pi$
$278$	7.15469	−	26.1246i	0.429110	−	1.56685i
$279$	18.4997	+	6.19082i	1.10755	+	0.370635i
$280$	0.892141	−	20.7228i	0.0533156	−	1.23842i
$281$	4.59242	−	7.95430i	0.273961	−	0.474514i	−0.695912	−	0.718127i	$-0.745000\pi$
$281$	4.59242	−	7.95430i	0.273961	−	0.474514i	0.969872	+	0.243614i	$0.0783329\pi$
$282$	−21.2529	+	15.1220i	−1.26559	+	0.900500i
$283$	−8.21026	−	14.2206i	−0.488049	−	0.845326i	0.511856	−	0.859071i	$-0.328958\pi$
$283$	−8.21026	−	14.2206i	−0.488049	−	0.845326i	−0.999906	+	0.0137449i	$0.995625\pi$
$284$	−0.0360134	+	3.26539i	−0.00213700	+	0.193765i
$285$	−0.664415	−	8.98015i	−0.0393565	−	0.531938i
$286$	9.28746	+	9.39046i	0.549179	+	0.555269i
$287$			23.9296i			1.41252i
$288$	−1.50334	+	16.9038i	−0.0885849	+	0.996069i
$289$	11.6689			0.686405
$290$	−3.78120	−	0.121026i	−0.222040	−	0.00710688i
$291$	−21.3192	−	3.47253i	−1.24975	−	0.203563i
$292$	6.59563	+	0.0727422i	0.385980	+	0.00425691i
$293$	−4.02560	−	6.97254i	−0.235178	−	0.407340i	0.724147	−	0.689646i	$-0.242234\pi$
$293$	−4.02560	−	6.97254i	−0.235178	−	0.407340i	−0.959324	+	0.282306i	$0.908901\pi$
$294$	9.15824	−	0.871000i	0.534120	−	0.0507978i
$295$	19.8616	−	4.76199i	1.15638	−	0.277254i
$296$	−11.0914	−	11.4645i	−0.644672	−	0.666362i
$297$	15.3820	−	9.70392i	0.892555	−	0.563079i
$298$	3.40721	−	12.4411i	0.197374	−	0.720691i
$299$	19.1667	+	11.0659i	1.10844	+	0.639958i
$300$	3.87204	−	16.8822i	0.223552	−	0.974692i
$301$	23.9531	−	13.8293i	1.38064	−	0.797110i
$302$	−1.07294	−	4.09446i	−0.0617409	−	0.235610i
$303$	5.66475	+	0.922690i	0.325431	+	0.0530072i
$304$	0.205112	−	9.29775i	0.0117640	−	0.533263i
$305$	−9.90276	−	10.4417i	−0.567031	−	0.597887i
$306$	−9.77417	−	0.652360i	−0.558752	−	0.0372929i
$307$	4.58436			0.261643			0.130822	−	0.991406i	$-0.458238\pi$
$307$	4.58436			0.261643			0.130822	+	0.991406i	$0.458238\pi$
$308$	−20.0075	+	11.2590i	−1.14003	+	0.641541i
$309$	−8.93487	+	10.9352i	−0.508287	+	0.622085i
$310$	−17.4703	−	10.8461i	−0.992249	−	0.616018i
$311$	2.06606	+	3.57851i	0.117155	+	0.202919i	0.918639	−	0.395097i	$-0.129289\pi$
$311$	2.06606	+	3.57851i	0.117155	+	0.202919i	−0.801484	+	0.598016i	$0.795956\pi$
$312$	−1.09401	−	13.0257i	−0.0619362	−	0.737435i
$313$	−7.98657	−	4.61105i	−0.451427	−	0.260632i	0.257005	−	0.966410i	$-0.417264\pi$
$313$	−7.98657	−	4.61105i	−0.451427	−	0.260632i	−0.708433	+	0.705778i	$0.750598\pi$
$314$	−21.2880	−	5.83010i	−1.20135	−	0.329012i
$315$	21.9158	+	1.92502i	1.23481	+	0.108463i
$316$	28.1298	+	16.6570i	1.58242	+	0.937032i
$317$	−5.96446	+	10.3307i	−0.334997	+	0.580232i	−0.983484	−	0.180993i	$-0.942069\pi$
$317$	−5.96446	+	10.3307i	−0.334997	+	0.580232i	0.648487	+	0.761226i	$0.275402\pi$
$318$	3.79667	−	8.30521i	0.212907	−	0.465733i
$319$	2.09366	+	3.62632i	0.117222	+	0.203035i
$320$	5.65034	−	16.9727i	0.315864	−	0.948805i
$321$	8.39968	−	3.18214i	0.468824	−	0.177610i
$322$	−27.3525	+	27.0525i	−1.52429	+	1.50757i
$323$	5.36825			0.298697
$324$	−17.8403	−	2.39210i	−0.991130	−	0.132895i
$325$	−0.706271	+	13.3224i	−0.0391769	+	0.738994i
$326$	−22.0465	+	21.8047i	−1.22104	+	1.20765i
$327$	3.70996	+	9.79291i	0.205161	+	0.541549i
$328$	−5.67044	+	19.8434i	−0.313098	+	1.09567i
$329$	17.4616	+	30.2443i	0.962687	+	1.66742i
$330$	−18.1357	+	6.21471i	−0.998336	+	0.342108i
$331$	−6.10199	−	3.52299i	−0.335396	−	0.193641i	0.322838	−	0.946454i	$-0.395363\pi$
$331$	−6.10199	−	3.52299i	−0.335396	−	0.193641i	−0.658234	+	0.752813i	$0.728696\pi$
$332$	15.0951	+	8.93858i	0.828453	+	0.490568i
$333$	12.6722	−	11.2105i	0.694435	−	0.614330i
$334$	2.53695	−	9.26340i	0.138816	−	0.506871i
$335$	0.973385	+	4.05984i	0.0531817	+	0.221813i
$336$	22.3401	+	4.14655i	1.21875	+	0.226213i
$337$	−15.2155	+	8.78467i	−0.828840	+	0.478531i	−0.853455	−	0.521166i	$-0.825497\pi$
$337$	−15.2155	+	8.78467i	−0.828840	+	0.478531i	0.0246151	+	0.999697i	$0.492164\pi$
$338$	−2.10812	−	8.04478i	−0.114666	−	0.437578i
$339$	9.12364	−	11.1663i	0.495528	−	0.606469i
$340$	9.86672	+	3.04468i	0.535098	+	0.165121i
$341$			22.7602i			1.23254i
$342$	9.84226	+	0.656904i	0.532208	+	0.0355213i
$343$			10.6399i			0.574503i
$344$	23.1399	−	5.79183i	1.24762	−	0.312274i
$345$	−26.5599	+	18.0714i	−1.42994	+	0.972932i
$346$	−1.28635	−	4.90886i	−0.0691549	−	0.263902i
$347$	3.60508	+	6.24419i	0.193531	+	0.335206i	0.946418	−	0.322944i	$-0.104673\pi$
$347$	3.60508	+	6.24419i	0.193531	+	0.335206i	−0.752887	+	0.658150i	$0.771339\pi$
$348$	0.711311	−	4.08272i	0.0381303	−	0.218857i
$349$	4.35522	+	2.51449i	0.233130	+	0.134597i	0.612015	−	0.790846i	$-0.290359\pi$
$349$	4.35522	+	2.51449i	0.233130	+	0.134597i	−0.378885	+	0.925444i	$0.623693\pi$
$350$	−22.0109	−	7.30098i	−1.17653	−	0.390254i
$351$	13.8538	−	0.543409i	0.739463	−	0.0290050i
$352$	−19.2590	+	4.59536i	−1.02651	+	0.244933i
$353$	−18.0953	−	10.4473i	−0.963115	−	0.556055i	−0.0659844	−	0.997821i	$-0.521019\pi$
$353$	−18.0953	−	10.4473i	−0.963115	−	0.556055i	−0.897130	+	0.441766i	$0.854352\pi$
$354$	2.11832	+	22.2734i	0.112587	+	1.18382i
$355$	3.50037	+	1.03801i	0.185780	+	0.0550917i
$356$	0.244029	−	22.1264i	0.0129335	−	1.17270i
$357$	−2.10852	+	12.9450i	−0.111595	+	0.685124i
$358$	−12.0833	−	12.2173i	−0.638620	−	0.645702i
$359$	24.2464			1.27967			0.639837	−	0.768511i	$-0.279002\pi$
$359$	24.2464			1.27967			0.639837	+	0.768511i	$0.279002\pi$
$360$	17.7173	+	6.78955i	0.933783	+	0.357841i
$361$	13.5944			0.715493
$362$	9.45536	+	9.56021i	0.496962	+	0.502474i
$363$	1.67771	+	1.37081i	0.0880569	+	0.0719487i
$364$	−17.5003	−	0.193008i	−0.917264	−	0.0101164i
$365$	2.09663	−	7.07027i	0.109743	−	0.370075i
$366$	12.8446	−	9.13929i	0.671400	−	0.477718i
$367$	8.88948	+	5.13234i	0.464027	+	0.267906i	0.713736	−	0.700415i	$-0.247002\pi$
$367$	8.88948	+	5.13234i	0.464027	+	0.267906i	−0.249709	+	0.968321i	$0.580335\pi$
$368$	−29.0922	+	15.9514i	−1.51654	+	0.831526i
$369$	−20.7581	−	6.94656i	−1.08062	−	0.361624i
$370$	−15.7224	+	8.41855i	−0.817371	+	0.437660i
$371$	−10.5885	−	6.11328i	−0.549728	−	0.317386i
$372$	14.4442	−	17.2854i	0.748898	−	0.896208i
$373$	9.54613	+	16.5344i	0.494280	+	0.856118i	0.999978	−	0.00659262i	$-0.00209851\pi$
$373$	9.54613	+	16.5344i	0.494280	+	0.856118i	−0.505699	+	0.862710i	$0.668765\pi$
$374$	−2.89711	−	11.0557i	−0.149806	−	0.571675i
$375$	−16.9691	−	9.33006i	−0.876280	−	0.481802i
$376$	7.31302	+	29.2175i	0.377140	+	1.50678i
$377$			3.19209i			0.164401i
$378$	−5.44987	+	23.4757i	−0.280311	+	1.20746i
$379$			3.40415i			0.174860i	0.996171	+	0.0874298i	$0.0278654\pi$
$379$			3.40415i			0.174860i	−0.996171	+	0.0874298i	$0.972135\pi$
$380$	−9.93545	−	3.06588i	−0.509678	−	0.157277i
$381$	5.07955	+	13.4081i	0.260233	+	0.686919i
$382$	2.46252	+	9.39721i	0.125993	+	0.480803i
$383$	6.04332	−	3.48911i	0.308799	−	0.178285i	−0.337590	−	0.941293i	$-0.609612\pi$
$383$	6.04332	−	3.48911i	0.308799	−	0.178285i	0.646389	+	0.763008i	$0.276278\pi$
$384$	17.5427	+	8.73228i	0.895224	+	0.445617i
$385$	5.98447	+	24.9603i	0.304997	+	1.27210i
$386$	−1.19020	+	4.34589i	−0.0605796	+	0.221200i
$387$	5.04307	+	24.7930i	0.256354	+	1.26030i
$388$	−12.7083	+	21.4613i	−0.645166	+	1.08953i
$389$	14.0315	+	8.10106i	0.711423	+	0.410740i	0.811588	−	0.584231i	$-0.198604\pi$
$389$	14.0315	+	8.10106i	0.711423	+	0.410740i	−0.100165	+	0.994971i	$0.531937\pi$
$390$	−14.3418	−	2.80973i	−0.726226	−	0.142276i
$391$	−9.57578	−	16.5857i	−0.484268	−	0.838777i
$392$	2.91873	−	10.2139i	0.147418	−	0.515880i
$393$	−10.7097	+	13.1074i	−0.540232	+	0.661182i
$394$	−26.0996	+	25.8134i	−1.31488	+	1.30046i
$395$	26.5203	−	25.1516i	1.33438	−	1.26551i
$396$	−3.95876	−	20.6242i	−0.198935	−	1.03641i
$397$	17.3023			0.868380			0.434190	−	0.900821i	$-0.357035\pi$
$397$	17.3023			0.868380			0.434190	+	0.900821i	$0.357035\pi$
$398$	8.15484	−	8.06540i	0.408765	−	0.404282i
$399$	2.12321	−	13.0352i	0.106293	−	0.652576i
$400$	−16.5223	−	11.2701i	−0.826114	−	0.563503i
$401$	17.1731	+	29.7448i	0.857586	+	1.48538i	0.874225	+	0.485521i	$0.161370\pi$
$401$	17.1731	+	29.7448i	0.857586	+	1.48538i	−0.0166395	+	0.999862i	$0.505297\pi$
$402$	−4.55283	+	0.433000i	−0.227075	+	0.0215961i
$403$	−8.67533	+	15.0261i	−0.432149	+	0.748504i
$404$	3.37674	−	5.70251i	0.167999	−	0.283710i
$405$	−8.03186	+	18.4524i	−0.399106	+	0.916905i
$406$	−5.35158	−	1.46563i	−0.265595	−	0.0727379i
$407$	17.0952	+	9.86989i	0.847375	+	0.489232i
$408$	−4.81597	+	10.2349i	−0.238426	+	0.506703i
$409$	−18.3276	−	31.7444i	−0.906242	−	1.56966i	−0.819241	−	0.573450i	$-0.805605\pi$
$409$	−18.3276	−	31.7444i	−0.906242	−	1.56966i	−0.0870017	−	0.996208i	$-0.527729\pi$
$410$	19.6030	+	12.1702i	0.968125	+	0.601041i
$411$	34.7366	+	5.65799i	1.71343	+	0.279088i
$412$	7.99672	+	14.2104i	0.393970	+	0.700095i
$413$	29.9561			1.47404
$414$	−15.5269	−	31.5804i	−0.763104	−	1.55209i
$415$	14.2314	−	13.4970i	0.698594	−	0.662540i
$416$	−14.4662	−	4.30698i	−0.709264	−	0.211167i
$417$	20.9900	−	25.6894i	1.02789	−	1.25801i
$418$	2.91730	+	11.1327i	0.142690	+	0.544517i
$419$	−19.2997	+	11.1427i	−0.942851	+	0.544355i	−0.890853	−	0.454292i	$-0.849892\pi$
$419$	−19.2997	+	11.1427i	−0.942851	+	0.544355i	−0.0519979	+	0.998647i	$0.516559\pi$
$420$	11.2955	−	22.7542i	0.551164	−	1.11029i
$421$	−33.1315	−	19.1285i	−1.61473	−	0.932266i	−0.988253	−	0.152827i	$-0.951162\pi$
$421$	−33.1315	−	19.1285i	−1.61473	−	0.932266i	−0.626478	−	0.779439i	$-0.715504\pi$
$422$	2.73570	−	9.98912i	0.133172	−	0.486263i
$423$	−31.3048	+	6.36761i	−1.52209	+	0.309604i
$424$	−7.33179	−	7.57847i	−0.356063	−	0.368043i
$425$	6.29349	−	9.67831i	0.305279	−	0.469467i
$426$	−1.66284	+	3.63745i	−0.0805647	+	0.176235i
$427$	−10.5533	−	18.2788i	−0.510709	−	0.884573i
$428$	0.114382	−	10.3712i	0.00552886	−	0.501309i
$429$	5.73061	+	15.1267i	0.276676	+	0.730323i
$430$	0.853174	−	26.6557i	0.0411437	−	1.28545i
$431$	9.28385			0.447187			0.223594	−	0.974682i	$-0.428221\pi$
$431$	9.28385			0.447187			0.223594	+	0.974682i	$0.428221\pi$
$432$	−10.0821	+	18.1755i	−0.485077	+	0.874471i
$433$		−	11.3274i		−	0.544362i	−0.962246	−	0.272181i	$-0.912255\pi$
$433$		−	11.3274i		−	0.544362i	0.962246	−	0.272181i	$-0.0877450\pi$
$434$	−21.2083	−	21.4435i	−1.01803	−	1.02932i
$435$	−4.17263	−	2.01430i	−0.200062	−	0.0965785i
$436$	12.0914	+	0.133354i	0.579073	+	0.00638650i
$437$	9.64248	+	16.7013i	0.461262	+	0.798930i
$438$	7.34715	+	3.35870i	0.351060	+	0.160485i
$439$	−6.20763	+	10.7519i	−0.296274	+	0.513162i	−0.975280	−	0.220971i	$-0.929077\pi$
$439$	−6.20763	+	10.7519i	−0.296274	+	0.513162i	0.679006	+	0.734132i	$0.262411\pi$
$440$	−0.952131	+	22.1162i	−0.0453911	+	1.05435i
$441$	10.6847	+	3.57558i	0.508796	+	0.170266i
$442$	2.30135	−	8.40313i	0.109464	−	0.399696i
$443$	5.40242	−	9.35727i	0.256677	−	0.444577i	−0.708673	−	0.705537i	$-0.750706\pi$
$443$	5.40242	−	9.35727i	0.256677	−	0.444577i	0.965350	+	0.260960i	$0.0840391\pi$
$444$	−6.71936	−	18.3448i	−0.318887	−	0.870604i
$445$	−23.7187	−	7.03360i	−1.12438	−	0.333425i
$446$	5.44839	−	1.42774i	0.257989	−	0.0676053i
$447$	9.99588	−	12.2338i	0.472789	−	0.578639i
$448$	13.8628	−	22.2753i	0.654955	−	1.05241i
$449$	1.13753			0.0536835			0.0268417	−	0.999640i	$-0.491455\pi$
$449$	1.13753			0.0536835			0.0268417	+	0.999640i	$0.491455\pi$
$450$	12.7229	−	16.9743i	0.599765	−	0.800176i
$451$		−	25.5387i		−	1.20257i
$452$	−8.16566	−	14.5106i	−0.384081	−	0.682521i
$453$	0.833398	−	5.11655i	0.0391565	−	0.240397i
$454$	7.08399	+	27.0332i	0.332468	+	1.26873i
$455$	−5.56303	+	18.7596i	−0.260799	+	0.879466i
$456$	4.84952	−	10.3062i	0.227100	−	0.482632i
$457$	26.3333	+	15.2035i	1.23182	+	0.711192i	0.967409	−	0.253218i	$-0.0814890\pi$
$457$	26.3333	+	15.2035i	1.23182	+	0.711192i	0.264412	+	0.964410i	$0.414822\pi$
$458$	−0.132675	+	0.484450i	−0.00619951	+	0.0226369i
$459$	−10.6173	−	5.58691i	−0.495572	−	0.260774i
$460$	8.25032	+	36.1654i	0.384673	+	1.68622i
$461$	−15.5023	−	8.95026i	−0.722015	−	0.416855i	0.0934791	−	0.995621i	$-0.470201\pi$
$461$	−15.5023	−	8.95026i	−0.722015	−	0.416855i	−0.815494	+	0.578766i	$0.803535\pi$
$462$	−27.9913	+	2.66213i	−1.30227	+	0.123853i
$463$	25.5339	−	14.7420i	1.18666	−	0.685118i	0.229114	−	0.973400i	$-0.426417\pi$
$463$	25.5339	−	14.7420i	1.18666	−	0.685118i	0.957546	+	0.288282i	$0.0930839\pi$
$464$	−4.09045	−	2.48349i	−0.189894	−	0.115293i
$465$	−14.1674	−	20.8221i	−0.656998	−	0.965603i
$466$	−0.641112	−	0.648221i	−0.0296989	−	0.0300283i
$467$	−17.4456			−0.807286			−0.403643	−	0.914917i	$-0.632256\pi$
$467$	−17.4456			−0.807286			−0.403643	+	0.914917i	$0.632256\pi$
$468$	5.24762	−	15.1249i	0.242571	−	0.699147i
$469$			6.12323i			0.282745i
$470$	33.6567	+	1.07726i	1.55247	+	0.0496901i
$471$	−20.9333	−	17.1040i	−0.964558	−	0.788112i
$472$	24.8408	+	7.09850i	1.14339	+	0.326735i
$473$	−25.5638	+	14.7593i	−1.17543	+	0.678632i
$474$	23.2125	+	32.6235i	1.06618	+	1.49845i
$475$	−6.33733	+	9.74573i	−0.290777	+	0.447165i
$476$	13.0313	+	7.71649i	0.597290	+	0.353685i
$477$	8.37681	−	7.41053i	0.383548	−	0.339305i
$478$	−31.2050	−	8.54604i	−1.42728	−	0.390887i
$479$	−6.48800	+	11.2375i	−0.296444	+	0.513456i	−0.975320	−	0.220797i	$-0.929134\pi$
$479$	−6.48800	+	11.2375i	−0.296444	+	0.513456i	0.678876	+	0.734253i	$0.262468\pi$
$480$	14.7586	−	16.1921i	0.673635	−	0.739064i
$481$	7.52405	+	13.0320i	0.343067	+	0.594209i
$482$	4.47098	+	17.0617i	0.203647	+	0.777138i
$483$	−44.0609	+	16.6921i	−2.00484	+	0.759516i
$484$	2.18019	−	1.22687i	0.0990994	−	0.0557670i
$485$	19.1891	+	20.2333i	0.871332	+	0.918748i
$486$	−18.7823	−	11.5424i	−0.851981	−	0.523573i
$487$		−	28.7945i		−	1.30480i	−0.757873	−	0.652402i	$-0.773761\pi$
$487$		−	28.7945i		−	1.30480i	0.757873	−	0.652402i	$-0.226239\pi$
$488$	−4.41978	−	17.6583i	−0.200074	−	0.799352i
$489$	−35.5137	+	13.4541i	−1.60599	+	0.608414i
$490$	−10.0902	−	6.26430i	−0.455829	−	0.282992i
$491$	16.9557	−	9.78940i	0.765202	−	0.441790i	−0.0659584	−	0.997822i	$-0.521010\pi$
$491$	16.9557	−	9.78940i	0.765202	−	0.441790i	0.831160	+	0.556033i	$0.187677\pi$
$492$	−16.2075	+	19.3955i	−0.730690	+	0.874419i
$493$	1.38112	−	2.39217i	0.0622025	−	0.107738i
$494$	−2.31738	+	8.46166i	−0.104264	+	0.380708i
$495$	−23.3895	−	2.05447i	−1.05128	−	0.0923413i
$496$	−12.5054	−	22.8074i	−0.561510	−	1.02408i
$497$	4.63747	+	2.67744i	0.208019	+	0.120100i
$498$	12.4564	+	17.5066i	0.558184	+	0.784489i
$499$	−28.3511	+	16.3685i	−1.26917	+	0.732754i	−0.974830	−	0.222947i	$-0.928432\pi$
$499$	−28.3511	+	16.3685i	−1.26917	+	0.732754i	−0.294337	+	0.955702i	$0.595099\pi$
$500$	−17.1753	+	14.3181i	−0.768103	+	0.640327i
$501$	7.44276	−	9.10908i	0.332518	−	0.406964i
$502$	24.2978	+	24.5673i	1.08447	+	1.09649i
$503$			0.469857i			0.0209499i	0.999945	+	0.0104749i	$0.00333434\pi$
$503$			0.469857i			0.0209499i	−0.999945	+	0.0104749i	$0.996666\pi$
$504$	22.9476	+	15.7422i	1.02217	+	0.701213i
$505$	−5.09876	−	5.37623i	−0.226892	−	0.239239i
$506$	29.1917	−	28.8716i	1.29773	−	1.28350i
$507$	1.63746	−	10.0530i	0.0727221	−	0.446469i
$508$	16.5551	+	0.182584i	0.734516	+	0.00810086i
$509$	−1.08033	+	0.623731i	−0.0478850	+	0.0276464i	−0.523751	−	0.851871i	$-0.675468\pi$
$509$	−1.08033	+	0.623731i	−0.0478850	+	0.0276464i	0.475866	+	0.879518i	$0.342135\pi$
$510$	9.53217	+	8.31090i	0.422092	+	0.368013i
$511$	5.40807	−	9.36705i	0.239239	−	0.414374i
$512$	16.7740	−	15.1866i	0.741314	−	0.671158i
$513$	10.6912	+	5.62582i	0.472029	+	0.248386i
$514$	−7.24682	+	26.4610i	−0.319644	+	1.16714i
$515$	17.7281	−	4.25048i	0.781194	−	0.187298i
$516$	28.7812	+	5.01440i	1.26702	+	0.220747i
$517$	−18.6357	−	32.2780i	−0.819598	−	1.41959i
$518$	−25.3030	+	6.63060i	−1.11175	+	0.291332i
$519$	0.999164	−	6.13425i	0.0438584	−	0.269264i
$520$	−9.05844	+	14.2380i	−0.397239	+	0.624378i
$521$	−4.08309			−0.178883			−0.0894416	−	0.995992i	$-0.528508\pi$
$521$	−4.08309			−0.178883			−0.0894416	+	0.995992i	$0.528508\pi$
$522$	2.82490	−	4.21685i	0.123643	−	0.184566i
$523$	3.76846			0.164783			0.0823915	−	0.996600i	$-0.473744\pi$
$523$	3.76846			0.164783			0.0823915	+	0.996600i	$0.473744\pi$
$524$	9.58518	+	17.0331i	0.418731	+	0.744095i
$525$	−21.0118	−	19.1098i	−0.917029	−	0.834019i
$526$	−6.84077	+	1.79261i	−0.298272	+	0.0781614i
$527$	13.0027	−	7.50711i	0.566406	−	0.327015i
$528$	−23.8423	−	4.42538i	−1.03760	−	0.192590i
$529$	22.9002	−	39.6642i	0.995659	−	1.72453i
$530$	−10.3931	+	5.56497i	−0.451448	+	0.241727i
$531$	−8.69600	+	25.9858i	−0.377374	+	1.12769i
$532$	−13.1221	−	7.77024i	−0.568915	−	0.336883i
$533$	9.73437	−	16.8604i	0.421642	−	0.730306i
$534$	11.2675	−	24.6476i	0.487591	−	1.06660i
$535$	−11.1175	−	3.29681i	−0.480651	−	0.142533i
$536$	−1.45098	+	5.07763i	−0.0626730	+	0.219320i
$537$	−7.45569	−	19.6803i	−0.321737	−	0.849266i
$538$	−25.8784	−	26.1654i	−1.11570	−	1.12807i
$539$			13.1454i			0.566214i
$540$	16.4595	+	16.4038i	0.708304	+	0.705908i
$541$			20.5423i			0.883181i	0.897217	+	0.441590i	$0.145586\pi$
$541$			20.5423i			0.883181i	−0.897217	+	0.441590i	$0.854414\pi$
$542$	6.78484	−	6.71042i	0.291434	−	0.288237i
$543$	5.83420	+	15.4001i	0.250370	+	0.660883i
$544$	8.97757	+	9.48677i	0.384910	+	0.406742i
$545$	3.84364	−	12.9615i	0.164643	−	0.555211i
$546$	−19.4943	−	8.91169i	−0.834279	−	0.381385i
$547$	7.10590	−	12.3078i	0.303826	−	0.526243i	−0.673173	−	0.739485i	$-0.735069\pi$
$547$	7.10590	−	12.3078i	0.303826	−	0.526243i	0.976999	+	0.213242i	$0.0684024\pi$
$548$	20.7064	−	34.9681i	0.884531	−	1.49376i
$549$	18.9198	−	3.84841i	0.807475	−	0.164246i
$550$	23.4910	+	7.79192i	1.00166	+	0.332249i
$551$	−1.39074	+	2.40883i	−0.0592475	+	0.102620i
$552$	−40.4925	+	3.40091i	−1.72347	+	0.144752i
$553$	46.4255	−	26.8038i	1.97421	−	1.13981i
$554$	−2.06953	−	7.89754i	−0.0879260	−	0.335534i
$555$	−21.7831	+	1.61167i	−0.924641	+	0.0684114i
$556$	−18.7861	−	33.3834i	−0.796708	−	1.41577i
$557$	−26.8351			−1.13704			−0.568521	−	0.822669i	$-0.692484\pi$
$557$	−26.8351			−1.13704			−0.568521	+	0.822669i	$0.692484\pi$
$558$	24.7580	−	12.1726i	1.04809	−	0.515306i
$559$	−22.5027			−0.951762
$560$	−19.7111	−	21.7239i	−0.832947	−	0.918003i
$561$	2.25031	−	13.8155i	0.0950080	−	0.583291i
$562$	−3.29265	−	12.5651i	−0.138892	−	0.530025i
$563$	−3.40516	−	5.89791i	−0.143510	−	0.248567i	0.785306	−	0.619108i	$-0.212506\pi$
$563$	−3.40516	−	5.89791i	−0.143510	−	0.248567i	−0.928816	+	0.370541i	$0.879172\pi$
$564$	−6.33141	+	36.3405i	−0.266600	+	1.53021i
$565$	−18.1027	+	4.34028i	−0.761584	+	0.182597i
$566$	−22.3974	−	6.13392i	−0.941431	−	0.257828i
$567$	−17.7654	+	23.5712i	−0.746077	+	0.989898i
$568$	3.21112	+	3.31916i	0.134736	+	0.139269i
$569$	11.1594	−	19.3286i	0.467825	−	0.810296i	−0.531499	−	0.847059i	$-0.678371\pi$
$569$	11.1594	−	19.3286i	0.467825	−	0.810296i	0.999324	+	0.0367625i	$0.0117045\pi$
$570$	−9.59857	−	8.36879i	−0.402040	−	0.350530i
$571$	−22.6029	+	13.0498i	−0.945902	+	0.546117i	−0.891806	−	0.452419i	$-0.850561\pi$
$571$	−22.6029	+	13.0498i	−0.945902	+	0.546117i	−0.0540966	+	0.998536i	$0.517228\pi$
$572$	18.6771	+	0.205986i	0.780927	+	0.00861272i
$573$	−1.91274	+	11.7430i	−0.0799058	+	0.490572i
$574$	23.7973	+	24.0612i	0.993279	+	1.00429i
$575$	41.4148	+	2.19556i	1.72712	+	0.0915610i
$576$	15.2988	+	18.4918i	0.637449	+	0.770493i
$577$			46.1041i			1.91934i	0.281129	+	0.959670i	$0.409291\pi$
$577$			46.1041i			1.91934i	−0.281129	+	0.959670i	$0.590709\pi$
$578$	11.7331	−	11.6044i	0.488031	−	0.482678i
$579$	−3.49174	+	4.27349i	−0.145112	+	0.177600i
$580$	−3.92235	+	3.63861i	−0.162867	+	0.151085i
$581$	24.9131	−	14.3836i	1.03357	−	0.596731i
$582$	−24.8897	+	17.7097i	−1.03171	+	0.734089i
$583$	11.3005	+	6.52436i	0.468020	+	0.270211i
$584$	6.70424	−	6.48602i	0.277423	−	0.268393i
$585$	−14.6584	−	10.2715i	−0.606052	−	0.424674i
$586$	−10.9817	−	3.00754i	−0.453651	−	0.124240i
$587$	2.22956	−	3.86170i	0.0920236	−	0.159390i	−0.816339	−	0.577573i	$-0.804000\pi$
$587$	2.22956	−	3.86170i	0.0920236	−	0.159390i	0.908363	+	0.418184i	$0.137333\pi$
$588$	8.34242	−	9.98339i	0.344036	−	0.411708i
$589$	−13.0933	+	7.55940i	−0.539499	+	0.311480i
$590$	15.2351	−	24.5399i	0.627220	−	1.01029i
$591$	−42.0428	+	15.9275i	−1.72941	+	0.655171i
$592$	−22.5535	−	0.497538i	−0.926943	−	0.0204487i
$593$		−	23.2431i		−	0.954479i	−0.878773	−	0.477239i	$-0.841637\pi$
$593$		−	23.2431i		−	0.954479i	0.878773	−	0.477239i	$-0.158363\pi$
$594$	5.81634	−	25.0543i	0.238647	−	1.02799i
$595$	12.2857	−	11.6516i	0.503665	−	0.477671i
$596$	−8.94632	−	15.8978i	−0.366456	−	0.651201i
$597$	13.1363	−	4.97656i	0.537632	−	0.203677i
$598$	30.2768	−	7.93398i	1.23811	−	0.324445i
$599$	−22.5980	−	39.1409i	−0.923329	−	1.59925i	−0.794226	−	0.607622i	$-0.792124\pi$
$599$	−22.5980	−	39.1409i	−0.923329	−	1.59925i	−0.129103	−	0.991631i	$-0.541210\pi$
$600$	−12.8955	−	20.8256i	−0.526456	−	0.850202i
$601$	−7.06242	+	12.2325i	−0.288082	+	0.498973i	−0.973352	−	0.229316i	$-0.926351\pi$
$601$	−7.06242	+	12.2325i	−0.288082	+	0.498973i	0.685270	+	0.728289i	$0.259684\pi$
$602$	10.3320	−	37.7261i	0.421100	−	1.53760i
$603$	−5.31169	−	1.77752i	−0.216309	−	0.0723864i
$604$	−5.15066	−	3.04996i	−0.209577	−	0.124101i
$605$	−0.652118	−	2.71989i	−0.0265124	−	0.110579i
$606$	6.61349	−	4.70566i	0.268655	−	0.191154i
$607$	−13.7330	+	7.92872i	−0.557403	+	0.321817i	−0.752103	−	0.659046i	$-0.770960\pi$
$607$	−13.7330	+	7.92872i	−0.557403	+	0.321817i	0.194699	+	0.980863i	$0.437627\pi$
$608$	−9.04010	−	9.55286i	−0.366625	−	0.387420i
$609$	−5.26243	−	4.29978i	−0.213244	−	0.174236i
$610$	−20.3411	−	0.651063i	−0.823589	−	0.0263608i
$611$		−	28.4129i		−	1.14946i
$612$	−10.4767	+	9.06418i	−0.423494	+	0.366398i
$613$	−30.9150			−1.24865			−0.624323	−	0.781166i	$-0.714625\pi$
$613$	−30.9150			−1.24865			−0.624323	+	0.781166i	$0.714625\pi$
$614$	4.60957	−	4.55901i	0.186027	−	0.183987i
$615$	15.8969	+	23.3640i	0.641025	+	0.942127i
$616$	−8.92080	+	31.2178i	−0.359429	+	1.25780i
$617$	−12.6921	+	7.32778i	−0.510964	+	0.295005i	−0.733230	−	0.679981i	$-0.761988\pi$
$617$	−12.6921	+	7.32778i	−0.510964	+	0.295005i	0.222266	+	0.974986i	$0.428655\pi$
$618$	1.89078	+	19.8808i	0.0760583	+	0.799725i
$619$	23.1842	+	13.3854i	0.931853	+	0.538005i	0.887397	−	0.461006i	$-0.152511\pi$
$619$	23.1842	+	13.3854i	0.931853	+	0.538005i	0.0444557	+	0.999011i	$0.485845\pi$
$620$	−28.3526	+	6.46799i	−1.13867	+	0.259761i
$621$	−1.68927	−	43.0669i	−0.0677882	−	1.72821i
$622$	5.63614	+	1.54356i	0.225989	+	0.0618911i
$623$	−31.4238	−	18.1425i	−1.25897	−	0.726865i
$624$	−14.0537	−	12.0094i	−0.562599	−	0.480760i
$625$	10.1408	+	22.8509i	0.405632	+	0.914036i
$626$	−12.6160	+	3.30600i	−0.504238	+	0.132134i
$627$	−2.26598	+	13.9117i	−0.0904946	+	0.555581i
$628$	−27.2029	+	15.3081i	−1.08551	+	0.610860i
$629$		−	13.0217i		−	0.519210i
$630$	23.9507	−	19.8590i	0.954217	−	0.791201i
$631$	−6.66270			−0.265238			−0.132619	−	0.991167i	$-0.542339\pi$
$631$	−6.66270			−0.265238			−0.132619	+	0.991167i	$0.542339\pi$
$632$	44.8494	−	11.2256i	1.78401	−	0.446531i
$633$	8.02585	−	9.82271i	0.318999	−	0.390418i
$634$	4.27637	+	16.3190i	0.169836	+	0.648112i
$635$	5.26258	−	17.7465i	0.208839	−	0.704248i
$636$	−4.44174	−	12.1266i	−0.176126	−	0.480849i
$637$	−5.01053	+	8.67850i	−0.198525	+	0.343855i
$638$	5.71144	+	1.56418i	0.226118	+	0.0619265i
$639$	−3.66881	+	3.24560i	−0.145136	+	0.128394i
$640$	−11.1975	−	22.6852i	−0.442619	−	0.896710i
$641$	20.8758	−	36.1579i	0.824543	−	1.42815i	−0.0777252	−	0.996975i	$-0.524766\pi$
$641$	20.8758	−	36.1579i	0.824543	−	1.42815i	0.902268	−	0.431175i	$-0.141901\pi$
$642$	5.28132	−	11.5529i	0.208437	−	0.455956i
$643$	15.8025	+	27.3708i	0.623191	+	1.07940i	0.988888	+	0.148665i	$0.0474975\pi$
$643$	15.8025	+	27.3708i	0.623191	+	1.07940i	−0.365697	+	0.930734i	$0.619169\pi$
$644$	−0.599996	+	54.4024i	−0.0236431	+	2.14376i
$645$	14.1999	−	29.4150i	0.559119	−	1.15822i
$646$	5.39777	−	5.33856i	0.212372	−	0.210043i
$647$			15.5923i			0.612997i	0.951871	+	0.306499i	$0.0991575\pi$
$647$			15.5923i			0.612997i	−0.951871	+	0.306499i	$0.900843\pi$
$648$	−20.3173	+	15.3364i	−0.798140	+	0.602472i
$649$	−31.9704			−1.25495
$650$	12.5386	+	14.0980i	0.491804	+	0.552970i
$651$	−13.0861	−	34.5424i	−0.512883	−	1.35382i
$652$	−0.483605	+	43.8492i	−0.0189395	+	1.71727i
$653$	23.3246	+	40.3994i	0.912763	+	1.58095i	0.810144	+	0.586231i	$0.199389\pi$
$653$	23.3246	+	40.3994i	0.912763	+	1.58095i	0.102619	+	0.994721i	$0.467278\pi$
$654$	13.4691	+	6.15732i	0.526684	+	0.240770i
$655$	21.2496	−	5.09479i	0.830291	−	0.199070i
$656$	14.0320	+	25.5916i	0.547858	+	0.999183i
$657$	6.55567	+	7.41049i	0.255761	+	0.289111i
$658$	47.6346	+	13.0456i	1.85699	+	0.508571i
$659$	−22.1777	−	12.8043i	−0.863921	−	0.498785i	0.00140218	−	0.999999i	$-0.499554\pi$
$659$	−22.1777	−	12.8043i	−0.863921	−	0.498785i	−0.865323	+	0.501214i	$0.832887\pi$
$660$	−12.0551	+	24.2843i	−0.469242	+	0.945264i
$661$	17.8961	−	10.3323i	0.696078	−	0.401881i	−0.109807	−	0.993953i	$-0.535023\pi$
$661$	17.8961	−	10.3323i	0.696078	−	0.401881i	0.805885	+	0.592072i	$0.201690\pi$
$662$	−9.63905	+	2.52589i	−0.374632	+	0.0981716i
$663$	6.75157	−	8.26314i	0.262209	−	0.320914i
$664$	24.0673	−	6.02394i	0.933993	−	0.233774i
$665$	−12.3713	+	11.7328i	−0.479738	+	0.454979i
$666$	1.59345	−	23.8743i	0.0617449	−	0.925110i
$667$	9.92311			0.384224
$668$	−6.66128	−	11.8373i	−0.257733	−	0.457997i
$669$	6.80847	+	1.10898i	0.263230	+	0.0428757i
$670$	5.01613	+	3.11417i	0.193790	+	0.120311i
$671$	11.2629	+	19.5079i	0.434800	+	0.753095i
$672$	26.5866	−	18.0472i	1.02560	−	0.696187i
$673$	15.2267	+	8.79112i	0.586945	+	0.338873i	0.763888	−	0.645348i	$-0.223288\pi$
$673$	15.2267	+	8.79112i	0.586945	+	0.338873i	−0.176944	+	0.984221i	$0.556621\pi$
$674$	−6.56306	+	23.9643i	−0.252800	+	0.923071i
$675$	22.6766	−	12.6796i	0.872823	−	0.488037i
$676$	−10.1200	−	5.99256i	−0.389231	−	0.230483i
$677$	−7.41480	+	12.8428i	−0.284974	+	0.493590i	−0.972603	−	0.232473i	$-0.925318\pi$
$677$	−7.41480	+	12.8428i	−0.284974	+	0.493590i	0.687629	+	0.726062i	$0.258652\pi$
$678$	−1.93073	−	20.3009i	−0.0741491	−	0.779650i
$679$	20.4496	+	35.4198i	0.784784	+	1.35929i
$680$	12.9488	−	6.75075i	0.496564	−	0.258879i
$681$	−5.50242	+	33.7815i	−0.210853	+	1.29451i
$682$	22.6344	+	22.8854i	0.866715	+	0.876327i
$683$	−9.56068			−0.365829			−0.182915	−	0.983129i	$-0.558553\pi$
$683$	−9.56068			−0.365829			−0.182915	+	0.983129i	$0.558553\pi$
$684$	10.5497	−	9.12732i	0.403376	−	0.348992i
$685$	−31.2659	−	32.9673i	−1.19461	−	1.25962i
$686$	10.5811	+	10.6985i	0.403989	+	0.408469i
$687$	−0.389236	+	0.476379i	−0.0148503	+	0.0181750i
$688$	17.5074	−	28.8357i	0.667463	−	1.09935i
$689$	4.97367	+	8.61465i	0.189482	+	0.328192i
$690$	−8.73448	+	44.5838i	−0.332516	+	1.69728i
$691$	30.6576	+	17.7002i	1.16627	+	0.673347i	0.952799	−	0.303602i	$-0.0981892\pi$
$691$	30.6576	+	17.7002i	1.16627	+	0.673347i	0.213473	+	0.976949i	$0.431523\pi$
$692$	−6.17514	−	3.65661i	−0.234744	−	0.139003i
$693$	−32.6568	−	10.9284i	−1.24053	−	0.415136i
$694$	9.83457	+	2.69337i	0.373315	+	0.102239i
$695$	−41.6473	+	9.98533i	−1.57977	+	0.378765i
$696$	−3.34493	−	4.81255i	−0.126789	−	0.182419i
$697$	−14.5900	+	8.42354i	−0.552635	+	0.319064i
$698$	6.87975	−	1.80282i	0.260403	−	0.0682379i
$699$	−0.395583	−	1.04419i	−0.0149623	−	0.0394950i
$700$	−29.3926	+	14.5481i	−1.11093	+	0.549867i
$701$			22.7134i			0.857875i	0.903334	+	0.428937i	$0.141112\pi$
$701$			22.7134i			0.857875i	−0.903334	+	0.428937i	$0.858888\pi$
$702$	13.3896	−	14.3236i	0.505359	−	0.540611i
$703$			13.1124i			0.494544i
$704$	−14.7950	+	23.7732i	−0.557607	+	0.895984i
$705$	37.1407	+	17.9294i	1.39880	+	0.675260i
$706$	−28.5843	+	7.49046i	−1.07579	+	0.281907i
$707$	−5.43370	−	9.41144i	−0.204355	−	0.353954i
$708$	24.2802	+	20.2892i	0.912504	+	0.762516i
$709$	−30.1563	−	17.4108i	−1.13254	−	0.653875i	−0.187970	−	0.982175i	$-0.560191\pi$
$709$	−30.1563	−	17.4108i	−1.13254	−	0.653875i	−0.944573	+	0.328300i	$0.893524\pi$
$710$	4.55189	−	2.43730i	0.170829	−	0.0914702i
$711$	9.77439	+	48.0534i	0.366568	+	1.80214i
$712$	−21.7587	−	22.4908i	−0.815443	−	0.842878i
$713$	46.7110	+	26.9686i	1.74934	+	1.00998i
$714$	10.7533	+	15.1131i	0.402433	+	0.565593i
$715$	5.93710	−	20.0211i	0.222035	−	0.748747i
$716$	−24.2994	−	0.267994i	−0.908112	−	0.0100154i
$717$	−30.6851	−	25.0719i	−1.14596	−	0.936327i
$718$	24.3797	−	24.1123i	0.909842	−	0.899863i
$719$	−46.3065			−1.72694			−0.863470	−	0.504400i	$-0.831714\pi$
$719$	−46.3065			−1.72694			−0.863470	+	0.504400i	$0.831714\pi$
$720$	24.5667	−	10.7924i	0.915547	−	0.402210i
$721$	26.7383			0.995787
$722$	13.6691	−	13.5192i	0.508712	−	0.503132i
$723$	−3.47279	+	21.3208i	−0.129154	+	0.792928i
$724$	19.0147	+	0.209710i	0.706676	+	0.00779381i
$725$	2.71240	+	5.33135i	0.100736	+	0.198001i
$726$	3.05016	−	0.290088i	0.113202	−	0.0107662i
$727$	−36.2363	−	20.9210i	−1.34393	−	0.775919i	−0.356549	−	0.934277i	$-0.616047\pi$
$727$	−36.2363	−	20.9210i	−1.34393	−	0.775919i	−0.987382	+	0.158358i	$0.949380\pi$
$728$	−17.7885	+	17.2095i	−0.659284	+	0.637825i
$729$	−15.2901	−	22.2534i	−0.566298	−	0.824200i
$730$	−4.92301	−	9.19419i	−0.182209	−	0.340292i
$731$	16.8636	+	9.73623i	0.623725	+	0.360108i
$732$	3.82652	−	21.9632i	0.141432	−	0.811782i
$733$	15.5018	+	26.8499i	0.572571	+	0.991723i	0.996301	+	0.0859341i	$0.0273874\pi$
$733$	15.5018	+	26.8499i	0.572571	+	0.991723i	−0.423729	+	0.905789i	$0.639279\pi$
$734$	14.0423	−	3.67976i	0.518312	−	0.135822i
$735$	−8.18255	−	12.0261i	−0.301818	−	0.443588i
$736$	−13.3889	+	44.9705i	−0.493523	+	1.65763i
$737$		−	6.53498i		−	0.240719i
$738$	−27.7804	+	13.6585i	−1.02261	+	0.502777i
$739$		−	2.70651i		−	0.0995605i	−0.998760	−	0.0497803i	$-0.984148\pi$
$739$		−	2.70651i		−	0.0995605i	0.998760	−	0.0497803i	$-0.0158521\pi$
$740$	−7.43689	+	24.1003i	−0.273386	+	0.885946i
$741$	−6.79860	+	8.32070i	−0.249753	+	0.305669i
$742$	−16.7262	+	4.38307i	−0.614039	+	0.160907i
$743$	−35.7332	+	20.6306i	−1.31092	+	0.756862i	−0.982249	−	0.187581i	$-0.939935\pi$
$743$	−35.7332	+	20.6306i	−1.31092	+	0.756862i	−0.328674	+	0.944443i	$0.606602\pi$
$744$	−2.66621	−	31.7448i	−0.0977478	−	1.16382i
$745$	−19.8333	+	4.75522i	−0.726636	+	0.174218i
$746$	26.0416	+	7.13196i	0.953450	+	0.261119i
$747$	5.24518	+	25.7867i	0.191911	+	0.943484i
$748$	−13.9076	−	8.23537i	−0.508512	−	0.301115i
$749$	−14.7290	−	8.50381i	−0.538187	−	0.310722i
$750$	−26.3409	+	7.49389i	−0.961833	+	0.273638i
$751$	−0.818325	−	1.41738i	−0.0298611	−	0.0517209i	0.850709	−	0.525637i	$-0.176173\pi$
$751$	−0.818325	−	1.41738i	−0.0298611	−	0.0517209i	−0.880570	+	0.473917i	$0.842840\pi$
$752$	36.4092	+	22.1056i	1.32771	+	0.806109i
$753$	14.9924	+	39.5744i	0.546354	+	1.44217i
$754$	3.17444	+	3.20964i	0.115606	+	0.116888i
$755$	−4.85595	+	4.60534i	−0.176726	+	0.167606i
$756$	17.8660	+	29.0245i	0.649781	+	1.05561i
$757$	−0.232307			−0.00844333			−0.00422167	−	0.999991i	$-0.501344\pi$
$757$	−0.232307			−0.00844333			−0.00422167	+	0.999991i	$0.501344\pi$
$758$	3.38533	+	3.42287i	0.122961	+	0.124324i
$759$	47.0237	−	17.8145i	1.70685	−	0.646626i
$760$	−13.0390	+	6.79777i	−0.472975	+	0.246581i
$761$	8.50891	+	14.7379i	0.308448	+	0.534247i	0.978023	−	0.208497i	$-0.0668571\pi$
$761$	8.50891	+	14.7379i	0.308448	+	0.534247i	−0.669575	+	0.742744i	$0.733524\pi$
$762$	18.4415	+	8.43039i	0.668064	+	0.305401i
$763$	9.91431	−	17.1721i	0.358922	−	0.621671i
$764$	11.8213	+	6.99998i	0.427680	+	0.253251i
$765$	6.54095	+	14.0398i	0.236489	+	0.507610i
$766$	2.60673	−	9.51820i	0.0941850	−	0.343907i
$767$	−21.1066	−	12.1859i	−0.762115	−	0.440007i
$768$	26.3232	−	8.66543i	0.949856	−	0.312687i
$769$	−9.17064	−	15.8840i	−0.330702	−	0.572792i	0.651948	−	0.758264i	$-0.273952\pi$
$769$	−9.17064	−	15.8840i	−0.330702	−	0.572792i	−0.982650	+	0.185472i	$0.940619\pi$
$770$	30.8397	+	19.1462i	1.11139	+	0.689982i
$771$	−21.2603	+	26.0202i	−0.765672	+	0.937094i
$772$	3.12511	+	5.55341i	0.112475	+	0.199872i
$773$	−10.2445			−0.368469			−0.184234	−	0.982882i	$-0.558981\pi$
$773$	−10.2445			−0.368469			−0.184234	+	0.982882i	$0.558981\pi$
$774$	29.7268	+	19.9142i	1.06851	+	0.715801i
$775$	−1.72125	+	32.4679i	−0.0618290	+	1.16628i
$776$	8.56444	+	34.2173i	0.307446	+	1.22833i
$777$	−31.6194	−	5.15025i	−1.13434	−	0.184764i
$778$	22.1649	−	5.80826i	0.794650	−	0.208236i
$779$	14.6916	−	8.48221i	0.526382	−	0.303907i
$780$	−17.2149	+	11.4373i	−0.616391	+	0.409523i
$781$	−4.94931	−	2.85748i	−0.177100	−	0.102249i
$782$	−26.1225	−	7.15411i	−0.934137	−	0.255830i
$783$	5.25755	−	3.31678i	0.187889	−	0.118532i
$784$	−7.22265	−	13.1727i	−0.257952	−	0.470452i
$785$	8.13669	+	33.9369i	0.290411	+	1.21126i
$786$	2.26636	+	23.8300i	0.0808385	+	0.849987i
$787$	5.84413	+	10.1223i	0.208321	+	0.360822i	0.951186	−	0.308619i	$-0.0998669\pi$
$787$	5.84413	+	10.1223i	0.208321	+	0.360822i	−0.742865	+	0.669441i	$0.766534\pi$
$788$	−0.572514	+	51.9106i	−0.0203950	+	1.84924i
$789$	−8.54843	−	1.39239i	−0.304332	−	0.0495704i
$790$	1.65361	−	51.6635i	0.0588327	−	1.83811i
$791$	−27.3032			−0.970791
$792$	−24.4907	−	16.8008i	−0.870240	−	0.596989i
$793$			17.1720i			0.609794i
$794$	17.3975	−	17.2067i	0.617414	−	0.610642i
$795$	−14.3994	+	1.06537i	−0.510695	+	0.0377848i
$796$	0.178882	−	16.2195i	0.00634031	−	0.574885i
$797$	−3.86788	−	6.69936i	−0.137007	−	0.237303i	0.789355	−	0.613937i	$-0.210415\pi$
$797$	−3.86788	−	6.69936i	−0.137007	−	0.237303i	−0.926362	+	0.376633i	$0.877082\pi$
$798$	−10.8282	−	15.2184i	−0.383316	−	0.538724i
$799$	−12.2934	+	21.2928i	−0.434910	+	0.753285i
$800$	−27.8209	+	5.09890i	−0.983617	+	0.180273i
$801$	24.8601	−	21.9924i	0.878387	−	0.777063i
$802$	46.8479	+	12.8301i	1.65426	+	0.453048i
$803$	−5.77173	+	9.99693i	−0.203680	+	0.352784i
$804$	−4.14726	+	4.96304i	−0.146263	+	0.175033i
$805$	58.3173	+	17.2936i	2.05542	+	0.609518i
$806$	6.21999	+	23.7361i	0.219090	+	0.836068i
$807$	−15.9676	−	42.1487i	−0.562088	−	1.48370i
$808$	−2.27567	−	9.09194i	−0.0800578	−	0.319853i
$809$	39.2462			1.37982			0.689911	−	0.723895i	$-0.257650\pi$
$809$	39.2462			1.37982			0.689911	+	0.723895i	$0.257650\pi$
$810$	10.2743	+	26.5413i	0.361002	+	0.932565i
$811$			48.3920i			1.69927i	0.527368	+	0.849637i	$0.323179\pi$
$811$			48.3920i			1.69927i	−0.527368	+	0.849637i	$0.676821\pi$
$812$	−6.83853	+	3.84830i	−0.239985	+	0.135049i
$813$	10.9294	−	4.14051i	0.383311	−	0.145214i
$814$	27.0045	−	7.07646i	0.946506	−	0.248030i
$815$	47.0047	+	13.9389i	1.64650	+	0.488257i
$816$	5.33585	+	15.0805i	0.186792	+	0.527924i
$817$	−16.9811	−	9.80405i	−0.594094	−	0.343000i
$818$	−49.9972	−	13.6926i	−1.74811	−	0.478752i
$819$	−17.3943	−	19.6624i	−0.607805	−	0.687059i
$820$	31.8137	−	7.25756i	1.11098	−	0.253445i
$821$	−22.2407	−	12.8407i	−0.776204	−	0.448142i	0.0588790	−	0.998265i	$-0.481247\pi$
$821$	−22.2407	−	12.8407i	−0.776204	−	0.448142i	−0.835083	+	0.550123i	$0.814581\pi$
$822$	40.5543	−	28.8554i	1.41449	−	1.00645i
$823$	13.8361	−	7.98828i	0.482296	−	0.278454i	−0.239077	−	0.971001i	$-0.576845\pi$
$823$	13.8361	−	7.98828i	0.482296	−	0.278454i	0.721373	+	0.692547i	$0.243511\pi$
$824$	22.1725	+	6.33601i	0.772415	+	0.220725i
$825$	22.4247	+	20.3948i	0.780727	+	0.710055i
$826$	30.1208	−	29.7904i	1.04804	−	1.03654i
$827$	−29.7929			−1.03600			−0.518000	−	0.855381i	$-0.673323\pi$
$827$	−29.7929			−1.03600			−0.518000	+	0.855381i	$0.673323\pi$
$828$	−47.0180	−	16.3131i	−1.63399	−	0.566918i
$829$		−	34.7426i		−	1.20666i	−0.797491	−	0.603331i	$-0.793840\pi$
$829$		−	34.7426i		−	1.20666i	0.797491	−	0.603331i	$-0.206160\pi$
$830$	0.887366	−	27.7239i	0.0308009	−	0.962312i
$831$	1.60749	−	9.86900i	0.0557632	−	0.342352i
$832$	−18.8289	+	10.0556i	−0.652775	+	0.348613i
$833$	7.50985	−	4.33582i	0.260201	−	0.150227i
$834$	−4.44187	−	46.7046i	−0.153809	−	1.61725i
$835$	−14.7675	+	3.54066i	−0.511052	+	0.122529i
$836$	14.0045	+	8.29274i	0.484355	+	0.286810i
$837$	33.7631	−	1.32434i	1.16702	−	0.0457758i
$838$	−8.32474	+	30.3969i	−0.287573	+	1.05004i
$839$	5.26304	−	9.11586i	0.181700	−	0.314714i	−0.760759	−	0.649034i	$-0.775173\pi$
$839$	5.26304	−	9.11586i	0.181700	−	0.314714i	0.942460	+	0.334320i	$0.108507\pi$
$840$	−11.2708	−	34.1124i	−0.388879	−	1.17699i
$841$	−13.7844	−	23.8753i	−0.475324	−	0.823285i
$842$	−52.3364	+	13.7146i	−1.80363	+	0.472638i
$843$	2.55753	−	15.7017i	0.0880861	−	0.540794i
$844$	−7.18314	−	12.7646i	−0.247254	−	0.439376i
$845$	−9.54097	+	9.04856i	−0.328219	+	0.311280i
$846$	−25.1446	+	37.5344i	−0.864488	+	1.29046i
$847$		−	4.10225i		−	0.140955i
$848$	−14.9087	−	0.328891i	−0.511966	−	0.0112942i
$849$	−22.0242	−	17.9954i	−0.755870	−	0.617599i
$850$	−3.29670	−	15.9902i	−0.113076	−	0.548460i
$851$	40.5121	−	23.3897i	1.38874	−	0.801788i
$852$	1.94536	+	5.31109i	0.0666468	+	0.181955i
$853$	4.31347	−	7.47115i	0.147691	−	0.255807i	−0.782683	−	0.622421i	$-0.786149\pi$
$853$	4.31347	−	7.47115i	0.147691	−	0.255807i	0.930373	+	0.366613i	$0.119483\pi$
$854$	−28.7890	−	7.88440i	−0.985141	−	0.269799i
$855$	−6.58652	−	14.1376i	−0.225254	−	0.483496i
$856$	−10.1988	−	10.5419i	−0.348588	−	0.360316i
$857$	11.2258	+	6.48124i	0.383467	+	0.221395i	0.679326	−	0.733837i	$-0.262272\pi$
$857$	11.2258	+	6.48124i	0.383467	+	0.221395i	−0.295858	+	0.955232i	$0.595606\pi$
$858$	20.8052	+	9.51094i	0.710277	+	0.324698i
$859$	29.3158	−	16.9255i	1.00024	−	0.577490i	0.0919225	−	0.995766i	$-0.470699\pi$
$859$	29.3158	−	16.9255i	1.00024	−	0.577490i	0.908320	+	0.418276i	$0.137365\pi$
$860$	−25.6504	−	27.6507i	−0.874672	−	0.942881i
$861$	14.6835	+	38.7591i	0.500414	+	1.32091i
$862$	9.33490	−	9.23252i	0.317948	−	0.314461i
$863$			4.42804i			0.150732i	0.997156	+	0.0753661i	$0.0240126\pi$
$863$			4.42804i			0.150732i	−0.997156	+	0.0753661i	$0.975987\pi$
$864$	7.93747	+	28.3019i	0.270038	+	0.962850i
$865$	−5.82182	+	5.52136i	−0.197948	+	0.187732i
$866$	−11.2648	−	11.3897i	−0.382794	−	0.387039i
$867$	18.9003	−	7.16020i	0.641887	−	0.243173i
$868$	−42.6498	−	0.470378i	−1.44763	−	0.0159657i
$869$	−49.5473	+	28.6062i	−1.68078	+	0.970398i
$870$	−6.19874	+	2.12418i	−0.210157	+	0.0720163i
$871$	2.49088	−	4.31434i	0.0844004	−	0.146186i
$872$	12.2905	−	11.8905i	0.416209	−	0.402662i
$873$	−36.6618	+	7.45725i	−1.24081	+	0.252390i
$874$	26.3044	+	7.20394i	0.889760	+	0.243677i
$875$	6.64933	+	36.0590i	0.224788	+	1.21902i
$876$	10.7277	−	3.92936i	0.362455	−	0.132761i
$877$	−12.8660	−	22.2846i	−0.434455	−	0.752499i	0.562796	−	0.826596i	$-0.309726\pi$
$877$	−12.8660	−	22.2846i	−0.434455	−	0.752499i	−0.997251	+	0.0740975i	$0.976392\pi$
$878$	4.45071	+	16.9844i	0.150204	+	0.573194i
$879$	−10.7988	−	8.82336i	−0.364233	−	0.297604i
$880$	21.0366	+	23.1847i	0.709142	+	0.781556i
$881$	−54.1699			−1.82503			−0.912515	−	0.409044i	$-0.865862\pi$
$881$	−54.1699			−1.82503			−0.912515	+	0.409044i	$0.865862\pi$
$882$	14.2993	−	7.03041i	0.481482	−	0.236726i
$883$	11.8476			0.398703			0.199351	−	0.979928i	$-0.436117\pi$
$883$	11.8476			0.398703			0.199351	+	0.979928i	$0.436117\pi$
$884$	−6.04266	−	10.7380i	−0.203237	−	0.361157i
$885$	29.2480	−	19.9004i	0.983162	−	0.668945i
$886$	−3.87340	−	14.7813i	−0.130129	−	0.496587i
$887$	5.67998	−	3.27934i	0.190715	−	0.110109i	−0.401602	−	0.915814i	$-0.631547\pi$
$887$	5.67998	−	3.27934i	0.190715	−	0.110109i	0.592317	+	0.805705i	$0.298213\pi$
$888$	−24.9996	−	11.7634i	−0.838933	−	0.394755i
$889$	13.5743	−	23.5115i	0.455269	−	0.788549i
$890$	−30.8439	+	16.5153i	−1.03389	+	0.553594i
$891$	18.9600	−	25.1562i	0.635185	−	0.842765i
$892$	4.05850	−	6.85385i	0.135889	−	0.229484i
$893$	12.3790	−	21.4411i	0.414249	−	0.717500i
$894$	−2.11531	−	22.2417i	−0.0707465	−	0.743873i
$895$	−7.72435	+	26.0480i	−0.258196	+	0.870690i
$896$	−8.21309	−	36.1839i	−0.274380	−	1.20882i
$897$	37.8348	+	6.16264i	1.26327	+	0.205765i
$898$	1.14379	−	1.13124i	0.0381687	−	0.0377501i
$899$			7.77940i			0.259458i
$900$	−4.08754	−	29.7202i	−0.136251	−	0.990674i
$901$		−	8.60783i		−	0.286768i
$902$	−25.3975	−	25.6791i	−0.845643	−	0.855021i
$903$	30.3113	−	37.0976i	1.00870	−	1.23453i
$904$	−22.6409	−	6.46987i	−0.753026	−	0.215185i
$905$	6.04443	−	20.3830i	0.200924	−	0.677555i
$906$	−4.25028	−	5.97348i	−0.141206	−	0.198456i
$907$	29.0388	−	50.2966i	0.964216	−	1.67007i	0.252511	−	0.967594i	$-0.418744\pi$
$907$	29.0388	−	50.2966i	0.964216	−	1.67007i	0.711706	−	0.702478i	$-0.247923\pi$
$908$	34.0067	+	20.1370i	1.12855	+	0.668271i
$909$	9.74146	−	1.98148i	0.323104	−	0.0657215i
$910$	13.0623	+	24.3951i	0.433011	+	0.808689i
$911$	11.3751	−	19.7023i	0.376874	−	0.652765i	−0.613731	−	0.789515i	$-0.710332\pi$
$911$	11.3751	−	19.7023i	0.376874	−	0.652765i	0.990606	+	0.136750i	$0.0436655\pi$
$912$	−5.37301	−	15.1856i	−0.177918	−	0.502844i
$913$	−26.5883	+	15.3508i	−0.879945	+	0.508036i
$914$	41.5976	−	10.9006i	1.37593	−	0.360558i
$915$	−22.4468	−	10.8360i	−0.742069	−	0.358228i
$916$	0.348366	+	0.619056i	0.0115103	+	0.0204542i
$917$	32.0496			1.05837
$918$	−16.2317	+	4.94094i	−0.535725	+	0.163075i
$919$	2.39731			0.0790800			0.0395400	−	0.999218i	$-0.487411\pi$
$919$	2.39731			0.0790800			0.0395400	+	0.999218i	$0.487411\pi$
$920$	44.2611	+	28.1596i	1.45925	+	0.928395i
$921$	7.42536	−	2.81303i	0.244674	−	0.0926925i
$922$	−24.4883	+	6.41711i	−0.806480	+	0.211336i
$923$	−2.17833	−	3.77297i	−0.0717005	−	0.124189i
$924$	−25.4978	+	30.5133i	−0.838816	+	1.00381i
$925$	23.6401	+	15.3724i	0.777283	+	0.505442i
$926$	11.0138	−	40.2157i	0.361936	−	1.32157i
$927$	−7.76192	+	23.1946i	−0.254935	+	0.761809i
$928$	−6.58269	+	1.57068i	−0.216088	+	0.0515602i
$929$	−7.41032	+	12.8351i	−0.243125	+	0.421104i	−0.961603	−	0.274445i	$-0.911506\pi$
$929$	−7.41032	+	12.8351i	−0.243125	+	0.421104i	0.718478	+	0.695550i	$0.244839\pi$
$930$	−34.9523	−	6.84756i	−1.14613	−	0.224540i
$931$	−7.56216	+	4.36602i	−0.247840	+	0.143090i
$932$	−1.28927	−	0.0142192i	−0.0422316	−	0.000465765i
$933$	5.54225	+	4.52841i	0.181445	+	0.148253i
$934$	−17.5415	+	17.3491i	−0.573976	+	0.567681i
$935$	−13.1118	+	12.4351i	−0.428803	+	0.406673i
$936$	−9.76475	−	20.4266i	−0.319171	−	0.667665i
$937$		−	56.9018i		−	1.85890i	−0.368948	−	0.929450i	$-0.620282\pi$
$937$		−	56.9018i		−	1.85890i	0.368948	−	0.929450i	$-0.379718\pi$
$938$	6.08938	+	6.15690i	0.198825	+	0.201030i
$939$	−15.7654	−	2.56791i	−0.514483	−	0.0838005i
$940$	34.9130	−	32.3874i	1.13874	−	1.05636i
$941$	−13.9605	+	8.06012i	−0.455101	+	0.262753i	−0.709982	−	0.704220i	$-0.751297\pi$
$941$	−13.9605	+	8.06012i	−0.455101	+	0.262753i	0.254881	+	0.966972i	$0.417964\pi$
$942$	−38.0579	+	3.61952i	−1.23999	+	0.117930i
$943$	−52.4133	−	30.2608i	−1.70681	−	0.985428i
$944$	32.0366	−	17.5659i	1.04270	−	0.571721i
$945$	36.6785	−	10.3299i	1.19315	−	0.336030i
$946$	−11.0267	+	40.2629i	−0.358510	+	1.30906i
$947$	−1.43126	+	2.47901i	−0.0465097	+	0.0805571i	−0.888343	−	0.459180i	$-0.848143\pi$
$947$	−1.43126	+	2.47901i	−0.0465097	+	0.0805571i	0.841833	+	0.539737i	$0.181477\pi$
$948$	55.7833	+	9.71882i	1.81176	+	0.315652i
$949$	−7.62089	+	4.39992i	−0.247384	+	0.142828i
$950$	3.31967	+	16.1016i	0.107704	+	0.522405i
$951$	−3.32163	+	20.3927i	−0.107711	+	0.661280i
$952$	20.7768	−	5.20034i	0.673380	−	0.168544i
$953$		−	40.2202i		−	1.30286i	−0.758709	−	0.651430i	$-0.774169\pi$
$953$		−	40.2202i		−	1.30286i	0.758709	−	0.651430i	$-0.225831\pi$
$954$	1.05333	−	15.7818i	0.0341027	−	0.510954i
$955$	11.1449	−	10.5697i	0.360641	−	0.342029i
$956$	−39.8753	+	22.4394i	−1.28966	+	0.725741i
$957$	5.61629	+	4.58891i	0.181549	+	0.148338i
$958$	4.65173	+	17.7515i	0.150291	+	0.573524i
$959$	−33.3197	−	57.7115i	−1.07595	−	1.86360i
$960$	−1.26278	−	30.9581i	−0.0407560	−	0.999169i
$961$	−5.64256	+	9.77320i	−0.182018	+	0.315264i
$962$	20.5254	+	5.62125i	0.661765	+	0.181236i
$963$	11.6525	−	10.3083i	0.375496	−	0.332181i
$964$	21.4629	+	12.7093i	0.691274	+	0.409337i
$965$	6.92814	−	1.66109i	0.223025	−	0.0534722i
$966$	−27.7034	+	60.6011i	−0.891342	+	1.94981i
$967$	9.19396	−	5.30814i	0.295658	−	0.170698i	−0.344833	−	0.938664i	$-0.612064\pi$
$967$	9.19396	−	5.30814i	0.295658	−	0.170698i	0.640491	+	0.767966i	$0.278731\pi$
$968$	0.972085	−	3.40175i	0.0312440	−	0.109336i
$969$	8.69503	−	3.29404i	0.279325	−	0.105820i
$970$	39.4161	+	1.26160i	1.26557	+	0.0405075i
$971$			13.1475i			0.421923i	0.977494	+	0.210961i	$0.0676594\pi$
$971$			13.1475i			0.421923i	−0.977494	+	0.210961i	$0.932341\pi$
$972$	−30.3641	+	7.07257i	−0.973929	+	0.226853i
$973$	−62.8143			−2.01373
$974$	−28.6353	−	28.9529i	−0.917534	−	0.927709i
$975$	7.03087	+	22.0119i	0.225168	+	0.704944i
$976$	−22.0047	−	13.3600i	−0.704354	−	0.427644i
$977$	5.43528	−	3.13806i	0.173890	−	0.100395i	−0.410529	−	0.911848i	$-0.634656\pi$
$977$	5.43528	−	3.13806i	0.173890	−	0.100395i	0.584419	+	0.811452i	$0.301323\pi$
$978$	−22.3294	+	48.8454i	−0.714014	+	1.56190i
$979$	33.5368	+	19.3625i	1.07184	+	0.618828i
$980$	−16.3753	+	3.73566i	−0.523091	+	0.119331i
$981$	12.0181	+	13.5852i	0.383710	+	0.433743i
$982$	7.31371	−	26.7052i	0.233390	−	0.852198i
$983$	18.9362	+	10.9328i	0.603970	+	0.348702i	0.770602	−	0.637317i	$-0.219956\pi$
$983$	18.9362	+	10.9328i	0.603970	+	0.348702i	−0.166632	+	0.986019i	$0.553289\pi$
$984$	2.99168	+	35.6201i	0.0953713	+	1.13553i
$985$	55.6462	+	16.5015i	1.77304	+	0.525780i
$986$	−0.990228	−	3.77881i	−0.0315353	−	0.120342i
$987$	46.8411	+	38.2725i	1.49097	+	1.21823i
$988$	6.08475	+	10.8128i	0.193582	+	0.344000i
$989$			69.9531i			2.22438i
$990$	−25.5612	+	21.1944i	−0.812388	+	0.673601i
$991$	−2.09529			−0.0665590			−0.0332795	−	0.999446i	$-0.510595\pi$
$991$	−2.09529			−0.0665590			−0.0332795	+	0.999446i	$0.510595\pi$
$992$	−35.2555	−	10.4965i	−1.11936	−	0.333264i
$993$	−12.0452	−	1.96196i	−0.382244	−	0.0622610i
$994$	7.32561	−	1.91966i	0.232354	−	0.0608879i
$995$	−17.3867	−	5.15589i	−0.551195	−	0.163453i
$996$	29.9347	+	5.21536i	0.948516	+	0.165255i
$997$	−5.77326	+	9.99958i	−0.182841	+	0.316690i	−0.942847	−	0.333226i	$-0.891863\pi$
$997$	−5.77326	+	9.99958i	−0.182841	+	0.316690i	0.760006	+	0.649916i	$0.225196\pi$
$998$	−12.2290	+	44.6528i	−0.387101	+	1.41346i
$999$	13.6465	−	25.9336i	0.431757	−	0.820504i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bk.a.349.52	yes	136
5.4	even	2	inner	360.2.bk.a.349.17	yes	136
8.5	even	2	inner	360.2.bk.a.349.28	yes	136
9.4	even	3	inner	360.2.bk.a.229.41	yes	136
40.29	even	2	inner	360.2.bk.a.349.41	yes	136
45.4	even	6	inner	360.2.bk.a.229.28	yes	136
72.13	even	6	inner	360.2.bk.a.229.17	✓	136
360.229	even	6	inner	360.2.bk.a.229.52	yes	136

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bk.a.229.17	✓	136	72.13	even	6	inner
360.2.bk.a.229.28	yes	136	45.4	even	6	inner
360.2.bk.a.229.41	yes	136	9.4	even	3	inner
360.2.bk.a.229.52	yes	136	360.229	even	6	inner
360.2.bk.a.349.17	yes	136	5.4	even	2	inner
360.2.bk.a.349.28	yes	136	8.5	even	2	inner
360.2.bk.a.349.41	yes	136	40.29	even	2	inner
360.2.bk.a.349.52	yes	136	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bk (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.00550 - 0.994471i) q^{2} +(1.61972 - 0.613615i) q^{3} +(0.0220563 - 1.99988i) q^{4} +(-2.14379 - 0.635725i) q^{5} +(1.01840 - 2.22775i) q^{6} +(-2.84021 - 1.63979i) q^{7} +(-1.96664 - 2.03281i) q^{8} +(2.24695 - 1.98776i) q^{9} +O(q^{10})\)	\(q+(1.00550 - 0.994471i) q^{2} +(1.61972 - 0.613615i) q^{3} +(0.0220563 - 1.99988i) q^{4} +(-2.14379 - 0.635725i) q^{5} +(1.01840 - 2.22775i) q^{6} +(-2.84021 - 1.63979i) q^{7} +(-1.96664 - 2.03281i) q^{8} +(2.24695 - 1.98776i) q^{9} +(-2.78779 + 1.49272i) q^{10} +(3.03119 + 1.75006i) q^{11} +(-1.19143 - 3.25277i) q^{12} +(1.33411 + 2.31075i) q^{13} +(-4.48655 + 1.17569i) q^{14} +(-3.86243 + 0.285769i) q^{15} +(-3.99903 - 0.0882200i) q^{16} -2.30892i q^{17} +(0.282539 - 4.23322i) q^{18} +2.32500i q^{19} +(-1.31866 + 4.27331i) q^{20} +(-5.60653 - 0.913207i) q^{21} +(4.78825 - 1.25475i) q^{22} +(7.18333 - 4.14730i) q^{23} +(-4.43276 - 2.08581i) q^{24} +(4.19171 + 2.72573i) q^{25} +(3.63942 + 0.996721i) q^{26} +(2.41971 - 4.59837i) q^{27} +(-3.34203 + 5.64390i) q^{28} +(1.03606 + 0.598167i) q^{29} +(-3.59948 + 4.12841i) q^{30} +(3.25135 + 5.63150i) q^{31} +(-4.10875 + 3.88821i) q^{32} +(5.98353 + 0.974614i) q^{33} +(-2.29615 - 2.32162i) q^{34} +(5.04636 + 5.32097i) q^{35} +(-3.92572 - 4.53748i) q^{36} +5.63974 q^{37} +(2.31215 + 2.33779i) q^{38} +(3.57879 + 2.92412i) q^{39} +(2.92377 + 5.60817i) q^{40} +(-3.64826 - 6.31897i) q^{41} +(-6.54552 + 4.65730i) q^{42} +(-4.21679 + 7.30370i) q^{43} +(3.56676 - 6.02342i) q^{44} +(-6.08068 + 2.83291i) q^{45} +(3.09847 - 11.3137i) q^{46} +(-9.22198 - 5.32431i) q^{47} +(-6.53142 + 2.31097i) q^{48} +(1.87785 + 3.25254i) q^{49} +(6.92541 - 1.42781i) q^{50} +(-1.41679 - 3.73979i) q^{51} +(4.65064 - 2.61709i) q^{52} +3.72808 q^{53} +(-2.13993 - 7.02998i) q^{54} +(-5.38570 - 5.67878i) q^{55} +(2.25228 + 8.99849i) q^{56} +(1.42666 + 3.76584i) q^{57} +(1.63661 - 0.428871i) q^{58} +(-7.91035 + 4.56704i) q^{59} +(0.486313 + 7.73069i) q^{60} +(5.57350 + 3.21786i) q^{61} +(8.86959 + 2.42910i) q^{62} +(-9.64134 + 1.96111i) q^{63} +(-0.264633 + 7.99562i) q^{64} +(-1.39106 - 5.80190i) q^{65} +(6.98566 - 4.97047i) q^{66} +(-0.933536 - 1.61693i) q^{67} +(-4.61756 - 0.0509263i) q^{68} +(9.09011 - 11.1252i) q^{69} +(10.3657 + 0.331776i) q^{70} -1.63279 q^{71} +(-8.45970 - 0.658413i) q^{72} +3.29802i q^{73} +(5.67076 - 5.60856i) q^{74} +(8.46192 + 1.84281i) q^{75} +(4.64972 + 0.0512811i) q^{76} +(-5.73948 - 9.94107i) q^{77} +(6.50643 - 0.618797i) q^{78} +(-8.17291 + 14.1559i) q^{79} +(8.51701 + 2.73141i) q^{80} +(1.09760 - 8.93282i) q^{81} +(-9.95235 - 2.72563i) q^{82} +(-4.38578 + 7.59640i) q^{83} +(-1.94996 + 11.1922i) q^{84} +(-1.46784 + 4.94985i) q^{85} +(3.02333 + 11.5373i) q^{86} +(2.04516 + 0.333121i) q^{87} +(-2.40373 - 9.60358i) q^{88} +11.0639 q^{89} +(-3.29687 + 8.89554i) q^{90} -8.75068i q^{91} +(-8.13565 - 14.4573i) q^{92} +(8.72183 + 7.12636i) q^{93} +(-14.5676 + 3.81740i) q^{94} +(1.47806 - 4.98433i) q^{95} +(-4.26914 + 8.81898i) q^{96} +(-10.8001 - 6.23542i) q^{97} +(5.12274 + 1.40295i) q^{98} +(10.2897 - 2.09299i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) \) 136 * q - 2 * q^4 - 8 * q^9	\( 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) \) 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

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