LMFDB - Embedded newform 360.2.bk.a.229.17

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			229.17
Character	$\chi$	$=$	360.229
Dual form			360.2.bk.a.349.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.00550 - 0.994471i) q^{2} +(-1.61972 - 0.613615i) q^{3} +(0.0220563 + 1.99988i) q^{4} +(-0.521343 - 2.17444i) q^{5} +(1.01840 + 2.22775i) q^{6} +(2.84021 - 1.63979i) q^{7} +(1.96664 - 2.03281i) q^{8} +(2.24695 + 1.98776i) q^{9} +O(q^{10})$	\(q+(-1.00550 - 0.994471i) q^{2} +(-1.61972 - 0.613615i) q^{3} +(0.0220563 + 1.99988i) q^{4} +(-0.521343 - 2.17444i) 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} +(-1.63821 + 2.70486i) 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} +(-0.489843 + 3.84188i) q^{15} +(-3.99903 + 0.0882200i) q^{16} -2.30892i q^{17} +(-0.282539 - 4.23322i) q^{18} -2.32500i q^{19} +(4.33712 - 1.09058i) 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} +(-4.45640 + 2.26726i) 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} +(4.31318 - 3.37587i) 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} +(-5.44552 - 3.21656i) 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} +(3.15084 - 5.92218i) 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} +(6.73563 + 2.15204i) 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} +(-7.69410 - 0.894890i) 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} +(5.72012 + 1.69626i) 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} +(-0.217442 + 10.3687i) q^{70} -1.63279 q^{71} +(8.45970 - 0.658413i) q^{72} +3.29802i q^{73} +(5.67076 + 5.60856i) q^{74} +(8.60933 - 0.937800i) 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} +(2.27669 + 8.64966i) 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} +(-5.02061 + 1.20374i) q^{85} +(3.02333 - 11.5373i) q^{86} +(-2.04516 + 0.333121i) q^{87} +(2.40373 - 9.60358i) q^{88} +11.0639 q^{89} +(-9.05760 + 2.82132i) q^{90} +8.75068i q^{91} +(8.13565 - 14.4573i) q^{92} +(-8.72183 + 7.12636i) q^{93} +(-14.5676 - 3.81740i) q^{94} +(-5.05559 + 1.21212i) 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 $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

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

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
$5$	−0.521343	−	2.17444i	−0.233152	−	0.972440i
$5$	−0.521343	−	2.17444i	−0.233152	−	0.972440i
$6$	1.01840	+	2.22775i	0.415760	+	0.909474i
$7$	2.84021	−	1.63979i	1.07350	−	0.619784i	0.144363	−	0.989525i	$-0.453887\pi$
$7$	2.84021	−	1.63979i	1.07350	−	0.619784i	0.929135	+	0.369741i	$0.120553\pi$
$8$	1.96664	−	2.03281i	0.695313	−	0.718707i
$9$	2.24695	+	1.98776i	0.748985	+	0.662587i
$10$	−1.63821	+	2.70486i	−0.518048	+	0.855352i
$11$	3.03119	−	1.75006i	0.913939	−	0.527663i	0.0322427	−	0.999480i	$-0.489735\pi$
$11$	3.03119	−	1.75006i	0.913939	−	0.527663i	0.881696	+	0.471817i	$0.156402\pi$
$12$	1.19143	−	3.25277i	0.343936	−	0.938993i
$13$	−1.33411	+	2.31075i	−0.370016	+	0.640886i	−0.989568	−	0.144069i	$-0.953981\pi$
$13$	−1.33411	+	2.31075i	−0.370016	+	0.640886i	0.619552	+	0.784956i	$0.287314\pi$
$14$	−4.48655	−	1.17569i	−1.19908	−	0.314217i
$15$	−0.489843	+	3.84188i	−0.126477	+	0.991970i
$16$	−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	$-0.914068\pi$
$19$		−	2.32500i		−	0.533392i	0.963781	−	0.266696i	$-0.0859320\pi$
$20$	4.33712	−	1.09058i	0.969810	−	0.243862i
$21$	−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	$-0.665870\pi$
$23$	−7.18333	−	4.14730i	−1.49783	−	0.864771i	−0.999997	+	0.00250278i	$0.999203\pi$
$24$	−4.43276	+	2.08581i	−0.904834	+	0.425765i
$25$	−4.45640	+	2.26726i	−0.891281	+	0.453452i
$26$	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	−0.400711	−	0.916205i	$-0.631237\pi$
$29$	1.03606	−	0.598167i	0.192391	−	0.111077i	0.593101	+	0.805128i	$0.297903\pi$
$30$	4.31318	−	3.37587i	0.787474	−	0.616347i
$31$	3.25135	−	5.63150i	0.583960	−	1.01145i	−0.411044	−	0.911615i	$-0.634836\pi$
$31$	3.25135	−	5.63150i	0.583960	−	1.01145i	0.995004	−	0.0998327i	$-0.0318308\pi$
$32$	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	$-0.653437\pi$
$37$	−5.63974			−0.927168			−0.463584	+	0.886053i	$0.653437\pi$
$38$	−2.31215	+	2.33779i	−0.375080	+	0.379239i
$39$	3.57879	−	2.92412i	0.573065	−	0.468235i
$40$	−5.44552	−	3.21656i	−0.861013	−	0.508583i
$41$	−3.64826	+	6.31897i	−0.569762	+	0.986857i	0.426827	+	0.904333i	$0.359631\pi$
$41$	−3.64826	+	6.31897i	−0.569762	+	0.986857i	−0.996589	+	0.0825237i	$0.973702\pi$
$42$	6.54552	+	4.65730i	1.01000	+	0.718637i
$43$	4.21679	+	7.30370i	0.643055	+	1.11380i	0.984747	+	0.173991i	$0.0556665\pi$
$43$	4.21679	+	7.30370i	0.643055	+	1.11380i	−0.341693	+	0.939812i	$0.611000\pi$
$44$	3.56676	+	6.02342i	0.537710	+	0.908064i
$45$	3.15084	−	5.92218i	0.469700	−	0.882826i
$46$	3.09847	+	11.3137i	0.456844	+	1.66812i
$47$	9.22198	−	5.32431i	1.34516	−	0.776631i	0.357604	−	0.933873i	$-0.383594\pi$
$47$	9.22198	−	5.32431i	1.34516	−	0.776631i	0.987560	+	0.157243i	$0.0502605\pi$
$48$	6.53142	+	2.31097i	0.942729	+	0.333560i
$49$	1.87785	−	3.25254i	0.268265	−	0.464648i
$50$	6.73563	+	2.15204i	0.952562	+	0.304344i
$51$	−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	$-0.582420\pi$
$53$	−3.72808			−0.512091			−0.256045	+	0.966665i	$0.582420\pi$
$54$	−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	−0.112901	−	0.993606i	$-0.536014\pi$
$59$	−7.91035	−	4.56704i	−1.02984	−	0.594579i	−0.916939	+	0.399028i	$0.869348\pi$
$60$	−7.69410	−	0.894890i	−0.993304	−	0.115530i
$61$	5.57350	−	3.21786i	0.713614	−	0.412005i	−0.0987838	−	0.995109i	$-0.531495\pi$
$61$	5.57350	−	3.21786i	0.713614	−	0.412005i	0.812398	+	0.583104i	$0.198162\pi$
$62$	−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
$65$	5.72012	+	1.69626i	0.709494	+	0.210395i
$66$	6.98566	+	4.97047i	0.859875	+	0.611823i
$67$	0.933536	−	1.61693i	0.114050	−	0.197540i	−0.803350	−	0.595507i	$-0.796951\pi$
$67$	0.933536	−	1.61693i	0.114050	−	0.197540i	0.917399	+	0.397968i	$0.130284\pi$
$68$	4.61756	−	0.0509263i	0.559961	−	0.00617572i
$69$	9.09011	+	11.1252i	1.09432	+	1.33932i
$70$	−0.217442	+	10.3687i	−0.0259893	+	1.23930i
$71$	−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
$75$	8.60933	−	0.937800i	0.994120	−	0.108288i
$76$	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	−0.800139	−	0.599814i	$-0.795241\pi$
$79$	−8.17291	−	14.1559i	−0.919524	−	1.59266i	−0.119385	−	0.992848i	$-0.538092\pi$
$80$	2.27669	+	8.64966i	0.254542	+	0.967062i
$81$	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	$-0.00679432\pi$
$83$	4.38578	+	7.59640i	0.481402	+	0.833813i	−0.518370	+	0.855156i	$0.673461\pi$
$84$	−1.94996	−	11.1922i	−0.212758	−	1.22117i
$85$	−5.02061	+	1.20374i	−0.544562	+	0.130564i
$86$	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	$0.300550\pi$
$90$	−9.05760	+	2.82132i	−0.954755	+	0.297394i
$91$			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
$95$	−5.05559	+	1.21212i	−0.518692	+	0.124361i
$96$	−4.26914	−	8.81898i	−0.435717	−	0.900084i
$97$	10.8001	−	6.23542i	1.09658	−	0.633111i	0.161260	−	0.986912i	$-0.448444\pi$
$97$	10.8001	−	6.23542i	1.09658	−	0.633111i	0.935321	+	0.353801i	$0.115111\pi$
$98$	−5.12274	+	1.40295i	−0.517474	+	0.141720i
$99$	10.2897	+	2.09299i	1.03415	+	0.210353i
$100$	−4.63254	−	8.86226i	−0.463254	−	0.886226i
$101$	2.86970	−	1.65682i	0.285546	−	0.164860i	−0.350386	−	0.936606i	$-0.613949\pi$
$101$	2.86970	−	1.65682i	0.285546	−	0.164860i	0.635931	+	0.771746i	$0.280616\pi$
$102$	5.14369	−	2.35140i	0.509301	−	0.232824i
$103$	7.06066	+	4.07647i	0.695707	+	0.401667i	0.805747	−	0.592260i	$-0.201764\pi$
$103$	7.06066	+	4.07647i	0.695707	+	0.401667i	−0.110039	+	0.993927i	$0.535098\pi$
$104$	2.07359	+	7.25641i	0.203333	+	0.711550i
$105$	4.90864	+	11.7150i	0.479034	+	1.14327i
$106$	3.74858	+	3.70746i	0.364094	+	0.360100i
$107$	−5.18590			−0.501340			−0.250670	−	0.968073i	$-0.580651\pi$
$107$	−5.18590			−0.501340			−0.250670	+	0.968073i	$0.580651\pi$
$108$	9.14281	−	4.94054i	0.879768	−	0.475404i
$109$		−	6.04607i		−	0.579108i	−0.957162	−	0.289554i	$-0.906493\pi$
$109$		−	6.04607i		−	0.579108i	0.957162	−	0.289554i	$-0.0935070\pi$
$110$	−0.232063	+	11.0659i	−0.0221264	+	1.05509i
$111$	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	$-0.461406\pi$
$113$	−7.20983	−	4.16260i	−0.678244	−	0.391584i	−0.799193	+	0.601075i	$0.794739\pi$
$114$	5.17952	−	2.36778i	0.485107	−	0.221763i
$115$	−5.27308	+	17.7819i	−0.491718	+	1.65817i
$116$	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
$120$	6.84647	+	8.55137i	0.624994	+	0.780629i
$121$	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
$130$	−4.06470	−	7.39408i	−0.356498	−	0.648503i
$131$	−8.46318	−	4.88622i	−0.739432	−	0.426911i	0.0824310	−	0.996597i	$-0.473732\pi$
$131$	−8.46318	−	4.88622i	−0.739432	−	0.426911i	−0.821863	+	0.569686i	$0.807065\pi$
$132$	−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
$135$	−8.73740	+	7.65884i	−0.751996	+	0.659168i
$136$	−4.69360	−	4.54082i	−0.402473	−	0.389372i
$137$	−17.5972	+	10.1597i	−1.50343	+	0.868004i	−0.503435	+	0.864033i	$0.667931\pi$
$137$	−17.5972	+	10.1597i	−1.50343	+	0.868004i	−0.999992	+	0.00397130i	$0.998736\pi$
$138$	1.92363	−	20.2263i	0.163750	−	1.72177i
$139$	16.5871	+	9.57655i	1.40690	+	0.812273i	0.995088	−	0.0989972i	$-0.0315635\pi$
$139$	16.5871	+	9.57655i	1.40690	+	0.812273i	0.411810	+	0.911270i	$0.364897\pi$
$140$	10.5300	−	10.2095i	0.889947	−	0.862858i
$141$	−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	0.787352	−	0.616504i	$-0.211452\pi$
$149$	7.89910	+	4.56055i	0.647120	+	0.373615i	−0.140232	+	0.990119i	$0.544785\pi$
$150$	−9.58929	−	7.61877i	−0.782962	−	0.622070i
$151$	1.49649	+	2.59199i	0.121782	+	0.210933i	0.920471	−	0.390812i	$-0.127806\pi$
$151$	1.49649	+	2.59199i	0.121782	+	0.210933i	−0.798688	+	0.601745i	$0.794472\pi$
$152$	−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
$155$	−13.9405	−	4.13393i	−1.11972	−	0.332045i
$156$	5.92683	+	7.09265i	0.474526	+	0.567866i
$157$	7.80359	−	13.5162i	0.622795	−	1.07871i	−0.366168	−	0.930549i	$-0.619331\pi$
$157$	7.80359	−	13.5162i	0.622795	−	1.07871i	0.988963	−	0.148163i	$-0.0473361\pi$
$158$	−5.85977	+	22.3615i	−0.466178	+	1.77898i
$159$	6.03842	+	2.28760i	0.478878	+	0.181419i
$160$	6.31262	−	10.9613i	0.499057	−	0.866569i
$161$	−27.2029			−2.14389
$162$	7.77979	−	10.0735i	0.611238	−	0.791447i
$163$	21.9259			1.71737			0.858685	−	0.512503i	$-0.171282\pi$
$163$	21.9259			1.71737			0.858685	+	0.512503i	$0.171282\pi$
$164$	−12.7176	−	7.15670i	−0.993080	−	0.558844i
$165$	5.23871	+	12.5027i	0.407833	+	0.973337i
$166$	3.14450	−	11.9997i	0.244060	−	0.931358i
$167$	−5.88154	−	3.39571i	−0.455127	−	0.262768i	0.254866	−	0.966976i	$-0.417969\pi$
$167$	−5.88154	−	3.39571i	−0.455127	−	0.262768i	−0.709993	+	0.704209i	$0.751302\pi$
$168$	−9.16966	+	13.1930i	−0.707455	+	1.01786i
$169$	2.94029	+	5.09274i	0.226176	+	0.391749i
$170$	6.24531	+	3.78250i	0.478993	+	0.290104i
$171$	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	$-0.210222\pi$
$173$	−1.79414	−	3.10755i	−0.136406	−	0.236262i	−0.926134	+	0.377195i	$0.876889\pi$
$174$	2.38769	+	1.69890i	0.181010	+	0.128793i
$175$	−8.93927	+	13.7471i	−0.675745	+	1.03918i
$176$	−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	$0.150033\pi$
$179$			12.1504i			0.908167i	−0.890959	+	0.454083i	$0.849967\pi$
$180$	11.9131	+	6.17068i	0.887952	+	0.459935i
$181$		−	9.50793i		−	0.706719i	−0.935488	−	0.353359i	$-0.885039\pi$
$181$		−	9.50793i		−	0.706719i	0.935488	−	0.353359i	$-0.114961\pi$
$182$	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
$185$	2.94024	+	12.2633i	0.216171	+	0.901616i
$186$	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
$190$	6.28881	+	3.80884i	0.456238	+	0.276323i
$191$	−3.43460	−	5.94889i	−0.248519	−	0.430447i	0.714596	−	0.699537i	$-0.246610\pi$
$191$	−3.43460	−	5.94889i	−0.248519	−	0.430447i	−0.963115	+	0.269090i	$0.913277\pi$
$192$	−4.47760	+	13.1130i	−0.323143	+	0.946350i
$193$	2.75930	+	1.59308i	0.198619	+	0.114673i	0.596011	−	0.802976i	$-0.296751\pi$
$193$	2.75930	+	1.59308i	0.198619	+	0.114673i	−0.397392	+	0.917649i	$0.630085\pi$
$194$	−17.0604	−	4.47064i	−1.22487	−	0.320973i
$195$	−8.22412	−	6.25740i	−0.588941	−	0.448102i
$196$	6.54610	+	3.68374i	0.467579	+	0.263124i
$197$	25.9569			1.84935			0.924676	−	0.380754i	$-0.124336\pi$
$197$	25.9569			1.84935			0.924676	+	0.380754i	$0.124336\pi$
$198$	−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	$0.407189\pi$
$200$	−4.15525	+	13.5179i	−0.293820	+	0.955861i
$201$	−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
$205$	15.6422	+	4.63858i	1.09250	+	0.323973i
$206$	−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
$210$	6.71458	−	16.6609i	0.463350	−	1.14971i
$211$	6.34231	+	3.66174i	0.436623	+	0.252084i	0.702164	−	0.712015i	$-0.252217\pi$
$211$	6.34231	+	3.66174i	0.436623	+	0.252084i	−0.265541	+	0.964100i	$0.585551\pi$
$212$	−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
$220$	11.2381	−	10.8960i	0.757671	−	0.734608i
$221$	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	$-0.709240\pi$
$223$	−3.44910	+	1.99134i	−0.230969	+	0.133350i	0.380050	+	0.924966i	$0.375907\pi$
$224$	18.0456	+	4.30582i	1.20572	+	0.287695i
$225$	−14.5201	−	3.76384i	−0.968007	−	0.250923i
$226$	3.10990	+	11.3554i	0.206867	+	0.755353i
$227$	9.88039	+	17.1133i	0.655785	+	1.13585i	0.981696	+	0.190452i	$0.0609955\pi$
$227$	9.88039	+	17.1133i	0.655785	+	1.13585i	−0.325912	+	0.945400i	$0.605671\pi$
$228$	−7.56270	−	2.77008i	−0.500852	−	0.183453i
$229$	−0.307588	−	0.177586i	−0.0203260	−	0.0117352i	0.489803	−	0.871833i	$-0.337069\pi$
$229$	−0.307588	−	0.177586i	−0.0203260	−	0.0117352i	−0.510129	+	0.860098i	$0.670402\pi$
$230$	22.9857	−	12.6358i	1.51563	−	0.833177i
$231$	−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	0.212611	+	0.977137i	$0.431803\pi$
$239$	−11.4389	+	19.8127i	−0.739920	+	1.28158i	−0.952531	+	0.304442i	$0.901530\pi$
$240$	1.61997	−	15.4070i	0.104568	−	0.994518i
$241$	−6.23589	−	10.8009i	−0.401689	−	0.695746i	0.592241	−	0.805761i	$-0.298243\pi$
$241$	−6.23589	−	10.8009i	−0.401689	−	0.695746i	−0.993930	+	0.110015i	$0.964910\pi$
$242$	−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
$245$	−8.05147	−	2.38760i	−0.514389	−	0.152538i
$246$	−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
$250$	1.16790	−	15.7682i	0.0738648	−	0.997268i
$251$		−	24.4329i		−	1.54219i	−0.636718	−	0.771097i	$-0.719708\pi$
$251$		−	24.4329i		−	1.54219i	0.636718	−	0.771097i	$-0.280292\pi$
$252$	−3.70934	+	19.3248i	−0.233666	+	1.21735i
$253$	−29.0321			−1.82523
$254$	8.23230	−	8.32360i	0.516541	−	0.522269i
$255$	8.87060	+	1.13101i	0.555498	+	0.0708266i
$256$	15.9844	−	0.705588i	0.999027	−	0.0440993i
$257$	16.8007	+	9.69988i	1.04800	+	0.605062i	0.922088	−	0.386980i	$-0.126482\pi$
$257$	16.8007	+	9.69988i	1.04800	+	0.605062i	0.125910	+	0.992042i	$0.459815\pi$
$258$	−11.9764	+	16.8320i	−0.745619	+	1.04792i
$259$	−16.0180	+	9.24802i	−0.995313	+	0.574644i
$260$	−3.26614	+	11.4770i	−0.202558	+	0.711771i
$261$	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	$-0.617396\pi$
$263$	4.33054	−	2.50024i	0.267033	−	0.154171i	0.627538	+	0.778586i	$0.284063\pi$
$264$	−9.78626	+	14.0801i	−0.602303	+	0.866570i
$265$	1.94360	+	8.10649i	0.119395	+	0.497978i
$266$	−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	$0.291640\pi$
$269$			26.0223i			1.58661i	−0.608827	+	0.793303i	$0.708360\pi$
$270$	16.4019	+	0.988135i	0.998190	+	0.0601360i
$271$	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
$275$	−9.54038	+	14.6715i	−0.575307	+	0.884723i
$276$	−22.0486	+	18.4245i	−1.32717	+	1.10902i
$277$	−2.88648	−	4.99953i	−0.173432	−	0.300393i	0.766186	−	0.642619i	$-0.222152\pi$
$277$	−2.88648	−	4.99953i	−0.173432	−	0.300393i	−0.939617	+	0.342227i	$0.888819\pi$
$278$	−7.15469	−	26.1246i	−0.429110	−	1.56685i
$279$	18.4997	−	6.19082i	1.10755	−	0.370635i
$280$	−20.7409	−	0.206162i	−1.23951	−	0.0123205i
$281$	4.59242	+	7.95430i	0.273961	+	0.474514i	0.969872	−	0.243614i	$-0.0783329\pi$
$281$	4.59242	+	7.95430i	0.273961	+	0.474514i	−0.695912	+	0.718127i	$0.745000\pi$
$282$	21.2529	+	15.1220i	1.26559	+	0.900500i
$283$	8.21026	−	14.2206i	0.488049	−	0.845326i	−0.511856	−	0.859071i	$-0.671042\pi$
$283$	8.21026	−	14.2206i	0.488049	−	0.845326i	0.999906	+	0.0137449i	$0.00437528\pi$
$284$	−0.0360134	−	3.26539i	−0.00213700	−	0.193765i
$285$	8.93239	+	1.13889i	0.529109	+	0.0674619i
$286$	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
$290$	−0.0793188	+	3.78231i	−0.00465776	+	0.222105i
$291$	−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	$-0.757766\pi$
$293$	4.02560	−	6.97254i	0.235178	−	0.407340i	0.959324	+	0.282306i	$0.0910994\pi$
$294$	9.15824	+	0.871000i	0.534120	+	0.0507978i
$295$	−5.80677	+	19.5816i	−0.338083	+	1.14009i
$296$	−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
$300$	2.06538	+	17.1969i	0.119245	+	0.992865i
$301$	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	$-0.541762\pi$
$307$	−4.58436			−0.261643			−0.130822	+	0.991406i	$0.541762\pi$
$308$	20.0075	+	11.2590i	1.14003	+	0.641541i
$309$	−8.93487	−	10.9352i	−0.508287	−	0.622085i
$310$	9.90604	+	18.0200i	0.562625	+	1.02347i
$311$	2.06606	−	3.57851i	0.117155	−	0.202919i	−0.801484	−	0.598016i	$-0.795956\pi$
$311$	2.06606	−	3.57851i	0.117155	−	0.202919i	0.918639	+	0.395097i	$0.129289\pi$
$312$	1.09401	−	13.0257i	0.0619362	−	0.737435i
$313$	7.98657	−	4.61105i	0.451427	−	0.260632i	−0.257005	−	0.966410i	$-0.582736\pi$
$313$	7.98657	−	4.61105i	0.451427	−	0.260632i	0.708433	+	0.705778i	$0.249402\pi$
$314$	−21.2880	+	5.83010i	−1.20135	+	0.329012i
$315$	−0.762112	−	21.9870i	−0.0429401	−	1.23882i
$316$	28.1298	−	16.6570i	1.58242	−	0.937032i
$317$	5.96446	+	10.3307i	0.334997	+	0.580232i	0.983484	−	0.180993i	$-0.0579312\pi$
$317$	5.96446	+	10.3307i	0.334997	+	0.580232i	−0.648487	+	0.761226i	$0.724598\pi$
$318$	−3.79667	−	8.30521i	−0.212907	−	0.465733i
$319$	2.09366	−	3.62632i	0.117222	−	0.203035i
$320$	−17.2481	+	4.74389i	−0.964196	+	0.265191i
$321$	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
$330$	7.16609	−	17.7812i	0.394480	−	0.978825i
$331$	−6.10199	+	3.52299i	−0.335396	+	0.193641i	−0.658234	−	0.752813i	$-0.728696\pi$
$331$	−6.10199	+	3.52299i	−0.335396	+	0.193641i	0.322838	+	0.946454i	$0.395363\pi$
$332$	−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
$335$	−4.00262	−	1.18695i	−0.218686	−	0.0648498i
$336$	22.3401	−	4.14655i	1.21875	−	0.226213i
$337$	15.2155	+	8.78467i	0.828840	+	0.478531i	0.853455	−	0.521166i	$-0.174503\pi$
$337$	15.2155	+	8.78467i	0.828840	+	0.478531i	−0.0246151	+	0.999697i	$0.507836\pi$
$338$	2.10812	−	8.04478i	0.114666	−	0.437578i
$339$	9.12364	+	11.1663i	0.495528	+	0.606469i
$340$	−2.51807	−	10.0141i	−0.136561	−	0.543089i
$341$		−	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
$345$	19.4521	−	25.5660i	1.04727	−	1.37643i
$346$	−1.28635	+	4.90886i	−0.0691549	+	0.263902i
$347$	−3.60508	+	6.24419i	−0.193531	+	0.335206i	−0.946418	−	0.322944i	$-0.895327\pi$
$347$	−3.60508	+	6.24419i	−0.193531	+	0.335206i	0.752887	+	0.658150i	$0.228661\pi$
$348$	−0.711311	−	4.08272i	−0.0381303	−	0.218857i
$349$	4.35522	−	2.51449i	0.233130	−	0.134597i	−0.378885	−	0.925444i	$-0.623693\pi$
$349$	4.35522	−	2.51449i	0.233130	−	0.134597i	0.612015	+	0.790846i	$0.290359\pi$
$350$	22.6595	−	4.93283i	1.21120	−	0.263671i
$351$	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	$-0.478981\pi$
$353$	18.0953	−	10.4473i	0.963115	−	0.556055i	0.897130	+	0.441766i	$0.145648\pi$
$354$	2.11832	−	22.2734i	0.112587	−	1.18382i
$355$	0.851244	+	3.55041i	0.0451794	+	0.188436i
$356$	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	$0.279002\pi$
$360$	−5.84208	−	18.0519i	−0.307905	−	0.951417i
$361$	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
$365$	7.17135	−	1.71940i	0.375366	−	0.0899973i
$366$	12.8446	+	9.13929i	0.671400	+	0.477718i
$367$	−8.88948	+	5.13234i	−0.464027	+	0.267906i	−0.713736	−	0.700415i	$-0.752998\pi$
$367$	−8.88948	+	5.13234i	−0.464027	+	0.267906i	0.249709	+	0.968321i	$0.419665\pi$
$368$	29.0922	+	15.9514i	1.51654	+	0.831526i
$369$	−20.7581	+	6.94656i	−1.08062	+	0.361624i
$370$	9.23908	−	15.2547i	0.480317	−	0.793055i
$371$	−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	$-0.997901\pi$
$373$	−9.54613	+	16.5344i	−0.494280	+	0.856118i	0.505699	+	0.862710i	$0.331235\pi$
$374$	−2.89711	+	11.0557i	−0.149806	+	0.571675i
$375$	−6.52760	−	18.2316i	−0.337084	−	0.941475i
$376$	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	$-0.972135\pi$
$379$		−	3.40415i		−	0.174860i	0.996171	−	0.0874298i	$-0.0278654\pi$
$380$	−2.53561	−	10.0838i	−0.130074	−	0.517289i
$381$	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	$-0.390388\pi$
$383$	−6.04332	−	3.48911i	−0.308799	−	0.178285i	−0.646389	+	0.763008i	$0.723722\pi$
$384$	17.5427	−	8.73228i	0.895224	−	0.445617i
$385$	−24.6085	−	7.29747i	−1.25417	−	0.371913i
$386$	−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	−0.100165	−	0.994971i	$-0.531937\pi$
$389$	14.0315	−	8.10106i	0.711423	−	0.410740i	0.811588	+	0.584231i	$0.198604\pi$
$390$	2.04654	+	14.4705i	0.103630	+	0.732740i
$391$	−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	$-0.642965\pi$
$397$	−17.3023			−0.868380			−0.434190	+	0.900821i	$0.642965\pi$
$398$	−8.15484	−	8.06540i	−0.408765	−	0.404282i
$399$	2.12321	+	13.0352i	0.106293	+	0.652576i
$400$	17.6213	−	9.45998i	0.881063	−	0.472999i
$401$	17.1731	−	29.7448i	0.857586	−	1.48538i	−0.0166395	−	0.999862i	$-0.505297\pi$
$401$	17.1731	−	29.7448i	0.857586	−	1.48538i	0.874225	−	0.485521i	$-0.161370\pi$
$402$	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
$405$	18.8517	−	7.04374i	0.936747	−	0.350006i
$406$	−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	−0.0870017	+	0.996208i	$0.527729\pi$
$409$	−18.3276	+	31.7444i	−0.906242	+	1.56966i	−0.819241	+	0.573450i	$0.805605\pi$
$410$	−11.1153	−	20.2198i	−0.548946	−	0.998586i
$411$	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	−0.0519979	−	0.998647i	$-0.516559\pi$
$419$	−19.2997	−	11.1427i	−0.942851	−	0.544355i	−0.890853	+	0.454292i	$0.849892\pi$
$420$	−23.3203	+	10.0751i	−1.13791	+	0.491613i
$421$	−33.1315	+	19.1285i	−1.61473	+	0.932266i	−0.626478	+	0.779439i	$0.715504\pi$
$421$	−33.1315	+	19.1285i	−1.61473	+	0.932266i	−0.988253	+	0.152827i	$0.951162\pi$
$422$	−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
$425$	5.23492	+	10.2895i	0.253931	+	0.499113i
$426$	−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
$430$	−26.6635	−	0.559159i	−1.28583	−	0.0269650i
$431$	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
$435$	1.79058	+	4.27341i	0.0858518	+	0.204894i
$436$	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	0.679006	−	0.734132i	$-0.262411\pi$
$439$	−6.20763	−	10.7519i	−0.296274	−	0.513162i	−0.975280	+	0.220971i	$0.929077\pi$
$440$	−22.1356	−	0.220025i	−1.05527	−	0.0104893i
$441$	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	$-0.249294\pi$
$443$	−5.40242	−	9.35727i	−0.256677	−	0.444577i	−0.965350	+	0.260960i	$0.915961\pi$
$444$	−6.71936	+	18.3448i	−0.318887	+	0.870604i
$445$	−5.76808	−	24.0578i	−0.273433	−	1.14045i
$446$	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	$0.491455\pi$
$450$	10.8569	+	18.2244i	0.511800	+	0.859104i
$451$			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
$455$	19.0278	−	4.56210i	0.892039	−	0.213875i
$456$	4.84952	+	10.3062i	0.227100	+	0.482632i
$457$	−26.3333	+	15.2035i	−1.23182	+	0.711192i	−0.967409	−	0.253218i	$-0.918511\pi$
$457$	−26.3333	+	15.2035i	−1.23182	+	0.711192i	−0.264412	+	0.964410i	$0.585178\pi$
$458$	0.132675	+	0.484450i	0.00619951	+	0.0226369i
$459$	−10.6173	+	5.58691i	−0.495572	+	0.260774i
$460$	−35.6779	−	10.1533i	−1.66349	−	0.473401i
$461$	−15.5023	+	8.95026i	−0.722015	+	0.416855i	−0.815494	−	0.578766i	$-0.803535\pi$
$461$	−15.5023	+	8.95026i	−0.722015	+	0.416855i	0.0934791	+	0.995621i	$0.470201\pi$
$462$	27.9913	+	2.66213i	1.30227	+	0.123853i
$463$	−25.5339	−	14.7420i	−1.18666	−	0.685118i	−0.229114	−	0.973400i	$-0.573583\pi$
$463$	−25.5339	−	14.7420i	−1.18666	−	0.685118i	−0.957546	+	0.288282i	$0.906916\pi$
$464$	−4.09045	+	2.48349i	−0.189894	+	0.115293i
$465$	20.0429	+	15.2499i	0.929468	+	0.707195i
$466$	−0.641112	+	0.648221i	−0.0296989	+	0.0300283i
$467$	17.4456			0.807286			0.403643	−	0.914917i	$-0.367744\pi$
$467$	17.4456			0.807286			0.403643	+	0.914917i	$0.367744\pi$
$468$	−5.24762	−	15.1249i	−0.242571	−	0.699147i
$469$		−	6.12323i		−	0.282745i
$470$	−0.706020	+	33.6665i	−0.0325663	+	1.55292i
$471$	−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
$475$	5.27139	+	10.3612i	0.241868	+	0.475402i
$476$	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	0.678876	−	0.734253i	$-0.262468\pi$
$479$	−6.48800	−	11.2375i	−0.296444	−	0.513456i	−0.975320	+	0.220797i	$0.929134\pi$
$480$	−16.9507	+	13.8807i	−0.773689	+	0.633565i
$481$	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
$490$	5.72134	+	10.4077i	0.258464	+	0.470171i
$491$	16.9557	+	9.78940i	0.765202	+	0.441790i	0.831160	−	0.556033i	$-0.187677\pi$
$491$	16.9557	+	9.78940i	0.765202	+	0.441790i	−0.0659584	+	0.997822i	$0.521010\pi$
$492$	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
$495$	−0.813359	−	23.4654i	−0.0365577	−	1.05469i
$496$	−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	−0.294337	−	0.955702i	$-0.595099\pi$
$499$	−28.3511	−	16.3685i	−1.26917	−	0.732754i	−0.974830	+	0.222947i	$0.928432\pi$
$500$	−16.8553	+	14.6935i	−0.753793	+	0.657111i
$501$	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	0.475866	−	0.879518i	$-0.342135\pi$
$509$	−1.08033	−	0.623731i	−0.0478850	−	0.0276464i	−0.523751	+	0.851871i	$0.675468\pi$
$510$	−7.79462	−	9.95878i	−0.345152	−	0.440982i
$511$	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
$515$	5.18304	−	17.4782i	0.228392	−	0.770183i
$516$	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
$520$	14.6976	−	8.29199i	0.644532	−	0.363628i
$521$	−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	$-0.526256\pi$
$523$	−3.76846			−0.164783			−0.0823915	+	0.996600i	$0.526256\pi$
$524$	9.58518	−	17.0331i	0.418731	−	0.744095i
$525$	22.9145	−	16.7811i	1.00007	−	0.732386i
$526$	−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
$530$	6.10737	−	10.0839i	0.265287	−	0.438018i
$531$	−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
$535$	2.70363	+	11.2764i	0.116888	+	0.487523i
$536$	−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
$540$	−15.5095	−	17.3048i	−0.667421	−	0.744681i
$541$		−	20.5423i		−	0.883181i	−0.897217	−	0.441590i	$-0.854414\pi$
$541$		−	20.5423i		−	0.883181i	0.897217	−	0.441590i	$-0.145586\pi$
$542$	−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
$545$	−13.1468	+	3.15207i	−0.563148	+	0.135020i
$546$	−19.4943	+	8.91169i	−0.834279	+	0.381385i
$547$	−7.10590	−	12.3078i	−0.303826	−	0.526243i	0.673173	−	0.739485i	$-0.264931\pi$
$547$	−7.10590	−	12.3078i	−0.303826	−	0.526243i	−0.976999	+	0.213242i	$0.931598\pi$
$548$	−20.7064	−	34.9681i	−0.884531	−	1.49376i
$549$	18.9198	+	3.84841i	0.807475	+	0.164246i
$550$	24.1832	−	5.26453i	1.03117	−	0.224480i
$551$	−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
$555$	2.76259	−	21.6672i	0.117265	−	0.919723i
$556$	−18.7861	+	33.3834i	−0.796708	+	1.41577i
$557$	26.8351			1.13704			0.568521	−	0.822669i	$-0.307516\pi$
$557$	26.8351			1.13704			0.568521	+	0.822669i	$0.307516\pi$
$558$	−24.7580	−	12.1726i	−1.04809	−	0.515306i
$559$	−22.5027			−0.951762
$560$	20.6500	+	20.8335i	0.872620	+	0.880377i
$561$	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	$-0.787494\pi$
$563$	3.40516	−	5.89791i	0.143510	−	0.248567i	0.928816	+	0.370541i	$0.120828\pi$
$564$	−6.33141	−	36.3405i	−0.266600	−	1.53021i
$565$	−5.29254	+	17.8475i	−0.222659	+	0.750850i
$566$	−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	0.999324	−	0.0367625i	$-0.0117045\pi$
$569$	11.1594	+	19.3286i	0.467825	+	0.810296i	−0.531499	+	0.847059i	$0.678371\pi$
$570$	−7.84892	−	10.0281i	−0.328755	−	0.420033i
$571$	−22.6029	−	13.0498i	−0.945902	−	0.546117i	−0.0540966	−	0.998536i	$-0.517228\pi$
$571$	−22.6029	−	13.0498i	−0.945902	−	0.546117i	−0.891806	+	0.452419i	$0.850561\pi$
$572$	−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
$580$	3.84115	−	3.72423i	0.159495	−	0.154640i
$581$	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
$585$	9.48109	+	15.1816i	0.391995	+	0.627684i
$586$	−10.9817	+	3.00754i	−0.453651	+	0.124240i
$587$	−2.22956	−	3.86170i	−0.0920236	−	0.159390i	0.816339	−	0.577573i	$-0.196000\pi$
$587$	−2.22956	−	3.86170i	−0.0920236	−	0.159390i	−0.908363	+	0.418184i	$0.862667\pi$
$588$	−8.34242	−	9.98339i	−0.344036	−	0.411708i
$589$	−13.0933	−	7.55940i	−0.539499	−	0.311480i
$590$	25.3120	−	13.9146i	1.04208	−	0.572856i
$591$	−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	−0.129103	+	0.991631i	$0.541210\pi$
$599$	−22.5980	+	39.1409i	−0.923329	+	1.59925i	−0.794226	+	0.607622i	$0.792124\pi$
$600$	15.0251	−	19.3454i	0.613397	−	0.789775i
$601$	−7.06242	−	12.2325i	−0.288082	−	0.498973i	0.685270	−	0.728289i	$-0.259684\pi$
$601$	−7.06242	−	12.2325i	−0.288082	−	0.498973i	−0.973352	+	0.229316i	$0.926351\pi$
$602$	−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
$605$	−2.68155	−	0.795193i	−0.109021	−	0.0323292i
$606$	6.61349	+	4.70566i	0.268655	+	0.191154i
$607$	13.7330	+	7.92872i	0.557403	+	0.321817i	0.752103	−	0.659046i	$-0.229040\pi$
$607$	13.7330	+	7.92872i	0.557403	+	0.321817i	−0.194699	+	0.980863i	$0.562373\pi$
$608$	9.04010	−	9.55286i	0.366625	−	0.387420i
$609$	−5.26243	+	4.29978i	−0.213244	+	0.174236i
$610$	−0.426698	+	20.3471i	−0.0172765	+	0.823829i
$611$			28.4129i			1.14946i
$612$	10.4767	+	9.06418i	0.423494	+	0.366398i
$613$	30.9150			1.24865			0.624323	−	0.781166i	$-0.285375\pi$
$613$	30.9150			1.24865			0.624323	+	0.781166i	$0.285375\pi$
$614$	4.60957	+	4.55901i	0.186027	+	0.183987i
$615$	−22.4897	−	17.1115i	−0.906870	−	0.690001i
$616$	−8.92080	−	31.2178i	−0.359429	−	1.25780i
$617$	12.6921	+	7.32778i	0.510964	+	0.295005i	0.733230	−	0.679981i	$-0.238012\pi$
$617$	12.6921	+	7.32778i	0.510964	+	0.295005i	−0.222266	+	0.974986i	$0.571345\pi$
$618$	−1.89078	+	19.8808i	−0.0760583	+	0.799725i
$619$	23.1842	−	13.3854i	0.931853	−	0.538005i	0.0444557	−	0.999011i	$-0.485845\pi$
$619$	23.1842	−	13.3854i	0.931853	−	0.538005i	0.887397	+	0.461006i	$0.152511\pi$
$620$	7.95989	−	27.9704i	0.319677	−	1.12332i
$621$	−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
$625$	14.7191	−	20.2076i	0.588763	−	0.808306i
$626$	−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
$630$	−21.0991	+	22.8658i	−0.840607	+	0.910994i
$631$	−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
$635$	18.0002	−	4.31571i	0.714316	−	0.171264i
$636$	−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
$640$	22.0606	+	12.3827i	0.872020	+	0.489470i
$641$	20.8758	+	36.1579i	0.824543	+	1.42815i	0.902268	+	0.431175i	$0.141901\pi$
$641$	20.8758	+	36.1579i	0.824543	+	1.42815i	−0.0777252	+	0.996975i	$0.524766\pi$
$642$	−5.28132	−	11.5529i	−0.208437	−	0.455956i
$643$	−15.8025	+	27.3708i	−0.623191	+	1.07940i	0.365697	+	0.930734i	$0.380831\pi$
$643$	−15.8025	+	27.3708i	−0.623191	+	1.07940i	−0.988888	+	0.148665i	$0.952503\pi$
$644$	−0.599996	−	54.4024i	−0.0236431	−	2.14376i
$645$	−30.1255	+	12.6227i	−1.18619	+	0.497020i
$646$	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
$650$	−13.9589	+	12.6933i	−0.547513	+	0.497872i
$651$	−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	−0.102619	+	0.994721i	$0.532722\pi$
$653$	−23.3246	+	40.3994i	−0.912763	+	1.58095i	−0.810144	+	0.586231i	$0.800611\pi$
$654$	13.4691	−	6.15732i	0.526684	−	0.240770i
$655$	−6.21259	+	20.9501i	−0.242746	+	0.818588i
$656$	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	−0.865323	−	0.501214i	$-0.832887\pi$
$659$	−22.1777	+	12.8043i	−0.863921	+	0.498785i	0.00140218	+	0.999999i	$0.499554\pi$
$660$	−24.8884	+	10.7526i	−0.968780	+	0.418543i
$661$	17.8961	+	10.3323i	0.696078	+	0.401881i	0.805885	−	0.592072i	$-0.201690\pi$
$661$	17.8961	+	10.3323i	0.696078	+	0.401881i	−0.109807	+	0.993953i	$0.535023\pi$
$662$	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
$670$	2.84425	+	5.17396i	0.109883	+	0.199888i
$671$	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	$-0.776712\pi$
$673$	−15.2267	+	8.79112i	−0.586945	+	0.338873i	0.176944	+	0.984221i	$0.443379\pi$
$674$	−6.56306	−	23.9643i	−0.252800	−	0.923071i
$675$	21.2089	+	15.0061i	0.816330	+	0.577585i
$676$	−10.1200	+	5.99256i	−0.389231	+	0.230483i
$677$	7.41480	+	12.8428i	0.284974	+	0.493590i	0.972603	−	0.232473i	$-0.0746817\pi$
$677$	7.41480	+	12.8428i	0.284974	+	0.493590i	−0.687629	+	0.726062i	$0.741348\pi$
$678$	1.93073	−	20.3009i	0.0741491	−	0.779650i
$679$	20.4496	−	35.4198i	0.784784	−	1.35929i
$680$	−7.42678	+	12.5733i	−0.284804	+	0.482163i
$681$	−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	$-0.441447\pi$
$683$	9.56068			0.365829			0.182915	+	0.983129i	$0.441447\pi$
$684$	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
$690$	−44.9837	+	6.36199i	−1.71250	+	0.242197i
$691$	30.6576	−	17.7002i	1.16627	−	0.673347i	0.213473	−	0.976949i	$-0.431523\pi$
$691$	30.6576	−	17.7002i	1.16627	−	0.673347i	0.952799	+	0.303602i	$0.0981892\pi$
$692$	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
$695$	12.1761	−	41.0603i	0.461866	−	1.55751i
$696$	−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
$700$	−27.6896	−	17.5742i	−1.04657	−	0.664244i
$701$		−	22.7134i		−	0.857875i	−0.903334	−	0.428937i	$-0.858888\pi$
$701$		−	22.7134i		−	0.857875i	0.903334	−	0.428937i	$-0.141112\pi$
$702$	−13.3896	−	14.3236i	−0.505359	−	0.540611i
$703$			13.1124i			0.494544i
$704$	−14.7950	−	23.7732i	−0.557607	−	0.895984i
$705$	15.9380	+	38.0378i	0.600262	+	1.43259i
$706$	−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	−0.944573	−	0.328300i	$-0.893524\pi$
$709$	−30.1563	+	17.4108i	−1.13254	+	0.653875i	−0.187970	+	0.982175i	$0.560191\pi$
$710$	2.67486	−	4.41647i	0.100386	−	0.165747i
$711$	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
$715$	20.3073	−	4.86887i	0.759452	−	0.182085i
$716$	−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	$0.831714\pi$
$720$	−12.0778	+	23.9609i	−0.450115	+	0.892971i
$721$	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
$725$	−3.26088	+	5.01468i	−0.121106	+	0.186241i
$726$	3.05016	+	0.290088i	0.113202	+	0.0107662i
$727$	36.2363	−	20.9210i	1.34393	−	0.775919i	0.356549	−	0.934277i	$-0.383953\pi$
$727$	36.2363	−	20.9210i	1.34393	−	0.775919i	0.987382	+	0.158358i	$0.0506200\pi$
$728$	17.7885	+	17.2095i	0.659284	+	0.637825i
$729$	−15.2901	+	22.2534i	−0.566298	+	0.824200i
$730$	−8.92067	−	5.40284i	−0.330169	−	0.199968i
$731$	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	0.423729	+	0.905789i	$0.360721\pi$
$733$	−15.5018	+	26.8499i	−0.572571	+	0.991723i	−0.996301	+	0.0859341i	$0.972613\pi$
$734$	14.0423	+	3.67976i	0.518312	+	0.135822i
$735$	11.5760	+	8.80773i	0.426988	+	0.324878i
$736$	−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	$0.0158521\pi$
$739$			2.70651i			0.0995605i	−0.998760	+	0.0497803i	$0.984148\pi$
$740$	−24.4603	+	6.15060i	−0.899177	+	0.226101i
$741$	−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	$-0.0600648\pi$
$743$	35.7332	+	20.6306i	1.31092	+	0.756862i	0.328674	+	0.944443i	$0.393398\pi$
$744$	−2.66621	+	31.7448i	−0.0977478	+	1.16382i
$745$	5.79852	−	19.5538i	0.212441	−	0.716394i
$746$	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
$750$	−11.5673	+	24.8233i	−0.422377	+	0.906420i
$751$	−0.818325	+	1.41738i	−0.0298611	+	0.0517209i	−0.880570	−	0.473917i	$-0.842840\pi$
$751$	−0.818325	+	1.41738i	−0.0298611	+	0.0517209i	0.850709	+	0.525637i	$0.176173\pi$
$752$	−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	$-0.498656\pi$
$757$	0.232307			0.00844333			0.00422167	+	0.999991i	$0.498656\pi$
$758$	−3.38533	+	3.42287i	−0.122961	+	0.124324i
$759$	47.0237	+	17.8145i	1.70685	+	0.646626i
$760$	−7.47852	+	12.6609i	−0.271274	+	0.459258i
$761$	8.50891	−	14.7379i	0.308448	−	0.534247i	−0.669575	−	0.742744i	$-0.733524\pi$
$761$	8.50891	−	14.7379i	0.308448	−	0.534247i	0.978023	+	0.208497i	$0.0668571\pi$
$762$	−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
$765$	−13.6738	−	7.27504i	−0.494379	−	0.263030i
$766$	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	−0.982650	−	0.185472i	$-0.940619\pi$
$769$	−9.17064	+	15.8840i	−0.330702	+	0.572792i	0.651948	+	0.758264i	$0.273952\pi$
$770$	17.4867	+	31.8100i	0.630178	+	1.14635i
$771$	−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	$-0.441019\pi$
$773$	10.2445			0.368469			0.184234	+	0.982882i	$0.441019\pi$
$774$	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
$780$	12.3327	−	16.5852i	0.441580	−	0.593847i
$781$	−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
$785$	−33.4586	−	9.92189i	−1.19419	−	0.354127i
$786$	2.26636	−	23.8300i	0.0808385	−	0.849987i
$787$	−5.84413	+	10.1223i	−0.208321	+	0.360822i	−0.951186	−	0.308619i	$-0.900133\pi$
$787$	−5.84413	+	10.1223i	−0.208321	+	0.360822i	0.742865	+	0.669441i	$0.233466\pi$
$788$	0.572514	+	51.9106i	0.0203950	+	1.84924i
$789$	−8.54843	+	1.39239i	−0.304332	+	0.0495704i
$790$	51.6786	+	1.08375i	1.83864	+	0.0385582i
$791$	−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
$795$	1.82617	−	14.3228i	0.0647677	−	0.507978i
$796$	0.178882	+	16.2195i	0.00634031	+	0.574885i
$797$	3.86788	−	6.69936i	0.137007	−	0.237303i	−0.789355	−	0.613937i	$-0.789585\pi$
$797$	3.86788	−	6.69936i	0.137007	−	0.237303i	0.926362	+	0.376633i	$0.122918\pi$
$798$	10.8282	−	15.2184i	0.383316	−	0.538724i
$799$	−12.2934	−	21.2928i	−0.434910	−	0.753285i
$800$	−27.1258	−	8.01183i	−0.959043	−	0.283261i
$801$	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
$805$	14.1820	+	59.1511i	0.499850	+	2.08480i
$806$	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	$0.257650\pi$
$810$	−25.9601	−	11.6650i	−0.912146	−	0.409865i
$811$		−	48.3920i		−	1.69927i	−0.527368	−	0.849637i	$-0.676821\pi$
$811$		−	48.3920i		−	1.69927i	0.527368	−	0.849637i	$-0.323179\pi$
$812$	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
$815$	−11.4309	−	47.6767i	−0.400408	−	1.67004i
$816$	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
$820$	−8.93159	+	31.3849i	−0.311905	+	1.09601i
$821$	−22.2407	+	12.8407i	−0.776204	+	0.448142i	−0.835083	−	0.550123i	$-0.814581\pi$
$821$	−22.2407	+	12.8407i	−0.776204	+	0.448142i	0.0588790	+	0.998265i	$0.481247\pi$
$822$	−40.5543	−	28.8554i	−1.41449	−	1.00645i
$823$	−13.8361	−	7.98828i	−0.482296	−	0.278454i	0.239077	−	0.971001i	$-0.423155\pi$
$823$	−13.8361	−	7.98828i	−0.482296	−	0.278454i	−0.721373	+	0.692547i	$0.756489\pi$
$824$	22.1725	−	6.33601i	0.772415	−	0.220725i
$825$	24.4553	−	17.9095i	0.851425	−	0.623529i
$826$	30.1208	+	29.7904i	1.04804	+	1.03654i
$827$	29.7929			1.03600			0.518000	−	0.855381i	$-0.326677\pi$
$827$	29.7929			1.03600			0.518000	+	0.855381i	$0.326677\pi$
$828$	47.0180	−	16.3131i	1.63399	−	0.566918i
$829$			34.7426i			1.20666i	0.797491	+	0.603331i	$0.206160\pi$
$829$			34.7426i			1.20666i	−0.797491	+	0.603331i	$0.793840\pi$
$830$	−27.7320	−	0.581568i	−0.962593	−	0.0201865i
$831$	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
$835$	−4.31748	+	14.5594i	−0.149412	+	0.503849i
$836$	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	0.942460	−	0.334320i	$-0.108507\pi$
$839$	5.26304	+	9.11586i	0.181700	+	0.314714i	−0.760759	+	0.649034i	$0.775173\pi$
$840$	33.4679	+	13.0609i	1.15475	+	0.450642i
$841$	−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
$850$	4.96888	−	15.5520i	0.170431	−	0.533430i
$851$	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	$-0.213851\pi$
$853$	−4.31347	−	7.47115i	−0.147691	−	0.255807i	−0.930373	+	0.366613i	$0.880517\pi$
$854$	−28.7890	+	7.88440i	−0.985141	+	0.269799i
$855$	−13.7691	−	7.32572i	−0.470893	−	0.250534i
$856$	−10.1988	+	10.5419i	−0.348588	+	0.360316i
$857$	−11.2258	+	6.48124i	−0.383467	+	0.221395i	−0.679326	−	0.733837i	$-0.737728\pi$
$857$	−11.2258	+	6.48124i	−0.383467	+	0.221395i	0.295858	+	0.955232i	$0.404394\pi$
$858$	−20.8052	+	9.51094i	−0.710277	+	0.324698i
$859$	29.3158	+	16.9255i	1.00024	+	0.577490i	0.908320	−	0.418276i	$-0.137365\pi$
$859$	29.3158	+	16.9255i	1.00024	+	0.577490i	0.0919225	+	0.995766i	$0.470699\pi$
$860$	26.2540	+	27.0783i	0.895255	+	0.923361i
$861$	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
$870$	2.44935	−	6.07759i	0.0830409	−	0.206050i
$871$	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
$875$	34.5527	+	12.2710i	1.16809	+	0.414835i
$876$	10.7277	+	3.92936i	0.362455	+	0.132761i
$877$	12.8660	−	22.2846i	0.434455	−	0.752499i	−0.562796	−	0.826596i	$-0.690274\pi$
$877$	12.8660	−	22.2846i	0.434455	−	0.752499i	0.997251	+	0.0740975i	$0.0236076\pi$
$878$	−4.45071	+	16.9844i	−0.150204	+	0.573194i
$879$	−10.7988	+	8.82336i	−0.364233	+	0.297604i
$880$	22.0385	+	22.2345i	0.742919	+	0.749523i
$881$	−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	$-0.563883\pi$
$883$	−11.8476			−0.398703			−0.199351	+	0.979928i	$0.563883\pi$
$884$	−6.04266	+	10.7380i	−0.203237	+	0.361157i
$885$	21.4209	−	28.1535i	0.720055	−	0.946370i
$886$	−3.87340	+	14.7813i	−0.130129	+	0.496587i
$887$	−5.67998	−	3.27934i	−0.190715	−	0.110109i	0.401602	−	0.915814i	$-0.368453\pi$
$887$	−5.67998	−	3.27934i	−0.190715	−	0.110109i	−0.592317	+	0.805705i	$0.701787\pi$
$888$	24.9996	−	11.7634i	0.838933	−	0.394755i
$889$	13.5743	+	23.5115i	0.455269	+	0.788549i
$890$	−18.1250	+	29.9263i	−0.607551	+	1.00313i
$891$	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
$895$	26.4204	−	6.33454i	0.883138	−	0.211740i
$896$	−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
$900$	7.20696	−	29.1215i	0.240232	−	0.970715i
$901$			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
$905$	−20.6744	+	4.95689i	−0.687242	+	0.164773i
$906$	−4.25028	+	5.97348i	−0.141206	+	0.198456i
$907$	−29.0388	−	50.2966i	−0.964216	−	1.67007i	−0.711706	−	0.702478i	$-0.752077\pi$
$907$	−29.0388	−	50.2966i	−0.964216	−	1.67007i	−0.252511	−	0.967594i	$-0.581256\pi$
$908$	−34.0067	+	20.1370i	−1.12855	+	0.668271i
$909$	9.74146	+	1.98148i	0.323104	+	0.0657215i
$910$	−23.6694	−	14.3354i	−0.784631	−	0.475215i
$911$	11.3751	+	19.7023i	0.376874	+	0.652765i	0.990606	−	0.136750i	$-0.0436655\pi$
$911$	11.3751	+	19.7023i	0.376874	+	0.652765i	−0.613731	+	0.789515i	$0.710332\pi$
$912$	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
$915$	9.63251	+	22.9890i	0.318441	+	0.759992i
$916$	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	$0.487411\pi$
$920$	25.7770	+	45.6898i	0.849841	+	1.50635i
$921$	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
$925$	25.1330	−	12.7868i	0.826367	−	0.420426i
$926$	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	0.718478	−	0.695550i	$-0.244839\pi$
$929$	−7.41032	−	12.8351i	−0.243125	−	0.421104i	−0.961603	+	0.274445i	$0.911506\pi$
$930$	−4.98760	−	35.2658i	−0.163550	−	1.15641i
$931$	−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
$940$	34.1902	−	33.1495i	1.11516	−	1.08122i
$941$	−13.9605	−	8.06012i	−0.455101	−	0.262753i	0.254881	−	0.966972i	$-0.417964\pi$
$941$	−13.9605	−	8.06012i	−0.455101	−	0.262753i	−0.709982	+	0.704220i	$0.751297\pi$
$942$	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
$945$	−12.2571	+	36.0802i	−0.398724	+	1.17369i
$946$	−11.0267	−	40.2629i	−0.358510	−	1.30906i
$947$	1.43126	+	2.47901i	0.0465097	+	0.0805571i	0.888343	−	0.459180i	$-0.151857\pi$
$947$	1.43126	+	2.47901i	0.0465097	+	0.0805571i	−0.841833	+	0.539737i	$0.818523\pi$
$948$	−55.7833	+	9.71882i	−1.81176	+	0.315652i
$949$	−7.62089	−	4.39992i	−0.247384	−	0.142828i
$950$	5.00349	−	15.6604i	0.162335	−	0.508089i
$951$	−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
$960$	30.8479	+	2.89991i	0.995610	+	0.0935943i
$961$	−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
$965$	2.02553	−	6.83049i	0.0652041	−	0.219881i
$966$	−27.7034	−	60.6011i	−0.891342	−	1.94981i
$967$	−9.19396	−	5.30814i	−0.295658	−	0.170698i	0.344833	−	0.938664i	$-0.387936\pi$
$967$	−9.19396	−	5.30814i	−0.295658	−	0.170698i	−0.640491	+	0.767966i	$0.721269\pi$
$968$	−0.972085	−	3.40175i	−0.0312440	−	0.109336i
$969$	8.69503	+	3.29404i	0.279325	+	0.105820i
$970$	−0.826835	+	39.4276i	−0.0265481	+	1.26594i
$971$		−	13.1475i		−	0.421923i	−0.977494	−	0.210961i	$-0.932341\pi$
$971$		−	13.1475i		−	0.421923i	0.977494	−	0.210961i	$-0.0676594\pi$
$972$	30.3641	+	7.07257i	0.973929	+	0.226853i
$973$	62.8143			2.01373
$974$	−28.6353	+	28.9529i	−0.917534	+	0.927709i
$975$	−9.31878	+	21.1451i	−0.298440	+	0.677186i
$976$	−22.0047	+	13.3600i	−0.704354	+	0.427644i
$977$	−5.43528	−	3.13806i	−0.173890	−	0.100395i	0.410529	−	0.911848i	$-0.365344\pi$
$977$	−5.43528	−	3.13806i	−0.173890	−	0.100395i	−0.584419	+	0.811452i	$0.698677\pi$
$978$	22.3294	+	48.8454i	0.714014	+	1.56190i
$979$	33.5368	−	19.3625i	1.07184	−	0.618828i
$980$	4.59732	−	16.1546i	0.146856	−	0.516040i
$981$	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	$-0.780044\pi$
$983$	−18.9362	+	10.9328i	−0.603970	+	0.348702i	0.166632	+	0.986019i	$0.446711\pi$
$984$	2.99168	−	35.6201i	0.0953713	−	1.13553i
$985$	−13.5324	−	56.4418i	−0.431179	−	1.79839i
$986$	−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
$990$	−22.5178	+	24.4033i	−0.715664	+	0.775589i
$991$	−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
$995$	−4.22822	−	17.6353i	−0.134043	−	0.559075i
$996$	29.9347	−	5.21536i	0.948516	−	0.165255i
$997$	5.77326	+	9.99958i	0.182841	+	0.316690i	0.942847	−	0.333226i	$-0.108137\pi$
$997$	5.77326	+	9.99958i	0.182841	+	0.316690i	−0.760006	+	0.649916i	$0.774804\pi$
$998$	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.229.17	✓	136
5.4	even	2	inner	360.2.bk.a.229.52	yes	136
8.5	even	2	inner	360.2.bk.a.229.41	yes	136
9.7	even	3	inner	360.2.bk.a.349.28	yes	136
40.29	even	2	inner	360.2.bk.a.229.28	yes	136
45.34	even	6	inner	360.2.bk.a.349.41	yes	136
72.61	even	6	inner	360.2.bk.a.349.52	yes	136
360.349	even	6	inner	360.2.bk.a.349.17	yes	136

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bk.a.229.17	✓	136	1.1	even	1	trivial
360.2.bk.a.229.28	yes	136	40.29	even	2	inner
360.2.bk.a.229.41	yes	136	8.5	even	2	inner
360.2.bk.a.229.52	yes	136	5.4	even	2	inner
360.2.bk.a.349.17	yes	136	360.349	even	6	inner
360.2.bk.a.349.28	yes	136	9.7	even	3	inner
360.2.bk.a.349.41	yes	136	45.34	even	6	inner
360.2.bk.a.349.52	yes	136	72.61	even	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.00550 - 0.994471i) q^{2} +(-1.61972 - 0.613615i) q^{3} +(0.0220563 + 1.99988i) q^{4} +(-0.521343 - 2.17444i) q^{5} +(1.01840 + 2.22775i) q^{6} +(2.84021 - 1.63979i) q^{7} +(1.96664 - 2.03281i) q^{8} +(2.24695 + 1.98776i) q^{9} +O(q^{10})\)	\(q+(-1.00550 - 0.994471i) q^{2} +(-1.61972 - 0.613615i) q^{3} +(0.0220563 + 1.99988i) q^{4} +(-0.521343 - 2.17444i) 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} +(-1.63821 + 2.70486i) 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} +(-0.489843 + 3.84188i) q^{15} +(-3.99903 + 0.0882200i) q^{16} -2.30892i q^{17} +(-0.282539 - 4.23322i) q^{18} -2.32500i q^{19} +(4.33712 - 1.09058i) 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} +(-4.45640 + 2.26726i) 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} +(4.31318 - 3.37587i) 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} +(-5.44552 - 3.21656i) 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} +(3.15084 - 5.92218i) 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} +(6.73563 + 2.15204i) 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} +(-7.69410 - 0.894890i) 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} +(5.72012 + 1.69626i) 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} +(-0.217442 + 10.3687i) q^{70} -1.63279 q^{71} +(8.45970 - 0.658413i) q^{72} +3.29802i q^{73} +(5.67076 + 5.60856i) q^{74} +(8.60933 - 0.937800i) 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} +(2.27669 + 8.64966i) 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} +(-5.02061 + 1.20374i) q^{85} +(3.02333 - 11.5373i) q^{86} +(-2.04516 + 0.333121i) q^{87} +(2.40373 - 9.60358i) q^{88} +11.0639 q^{89} +(-9.05760 + 2.82132i) q^{90} +8.75068i q^{91} +(8.13565 - 14.4573i) q^{92} +(-8.72183 + 7.12636i) q^{93} +(-14.5676 - 3.81740i) q^{94} +(-5.05559 + 1.21212i) 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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