LMFDB - Embedded newform 260.2.o.a.183.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(27,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1, 0]))

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

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

chi := DirichletCharacter("260.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.o (of order $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			183.14
Character	$\chi$	$=$	260.183
Dual form			260.2.o.a.27.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.505980 - 1.32060i) q^{2} +(0.658144 - 0.658144i) q^{3} +(-1.48797 + 1.33639i) q^{4} +(0.820865 + 2.07995i) q^{5} +(-1.20215 - 0.536137i) q^{6} +(1.89124 + 1.89124i) q^{7} +(2.51772 + 1.28882i) q^{8} +2.13369i q^{9} +O(q^{10})$	\(q+(-0.505980 - 1.32060i) q^{2} +(0.658144 - 0.658144i) q^{3} +(-1.48797 + 1.33639i) q^{4} +(0.820865 + 2.07995i) q^{5} +(-1.20215 - 0.536137i) q^{6} +(1.89124 + 1.89124i) q^{7} +(2.51772 + 1.28882i) q^{8} +2.13369i q^{9} +(2.33144 - 2.13645i) q^{10} +1.63773i q^{11} +(-0.0997585 + 1.85884i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(1.54064 - 3.45450i) q^{14} +(1.90915 + 0.828657i) q^{15} +(0.428104 - 3.97702i) q^{16} +(2.78023 - 2.78023i) q^{17} +(2.81776 - 1.07961i) q^{18} -3.52807 q^{19} +(-4.00105 - 1.99790i) q^{20} +2.48941 q^{21} +(2.16278 - 0.828656i) q^{22} +(-0.868383 + 0.868383i) q^{23} +(2.50526 - 0.808792i) q^{24} +(-3.65236 + 3.41471i) q^{25} +(-0.576024 + 1.29159i) q^{26} +(3.37871 + 3.37871i) q^{27} +(-5.34155 - 0.286666i) q^{28} -7.97596i q^{29} +(0.128332 - 2.94051i) q^{30} -7.80040i q^{31} +(-5.46867 + 1.44694i) q^{32} +(1.07786 + 1.07786i) q^{33} +(-5.07832 - 2.26484i) q^{34} +(-2.38122 + 5.48613i) q^{35} +(-2.85145 - 3.17487i) q^{36} +(4.02786 - 4.02786i) q^{37} +(1.78513 + 4.65917i) q^{38} -0.930756 q^{39} +(-0.613974 + 6.29468i) q^{40} +5.49168 q^{41} +(-1.25959 - 3.28752i) q^{42} +(-5.16654 + 5.16654i) q^{43} +(-2.18865 - 2.43688i) q^{44} +(-4.43797 + 1.75148i) q^{45} +(1.58617 + 0.707403i) q^{46} +(8.12719 + 8.12719i) q^{47} +(-2.33570 - 2.89921i) q^{48} +0.153571i q^{49} +(6.35749 + 3.09553i) q^{50} -3.65959i q^{51} +(1.99713 + 0.107180i) q^{52} +(-0.551967 - 0.551967i) q^{53} +(2.75236 - 6.17148i) q^{54} +(-3.40638 + 1.34435i) q^{55} +(2.32414 + 7.19909i) q^{56} +(-2.32198 + 2.32198i) q^{57} +(-10.5331 + 4.03567i) q^{58} +8.09322 q^{59} +(-3.94817 + 1.31836i) q^{60} -8.43976 q^{61} +(-10.3012 + 3.94684i) q^{62} +(-4.03533 + 4.03533i) q^{63} +(4.67786 + 6.48981i) q^{64} +(0.890305 - 2.05118i) q^{65} +(0.878045 - 1.96879i) q^{66} +(-1.32687 - 1.32687i) q^{67} +(-0.421416 + 7.85239i) q^{68} +1.14304i q^{69} +(8.44984 + 0.368776i) q^{70} -6.50923i q^{71} +(-2.74996 + 5.37205i) q^{72} +(-4.95717 - 4.95717i) q^{73} +(-7.35721 - 3.28118i) q^{74} +(-0.156406 + 4.65115i) q^{75} +(5.24966 - 4.71489i) q^{76} +(-3.09733 + 3.09733i) q^{77} +(0.470943 + 1.22916i) q^{78} -14.6164 q^{79} +(8.62342 - 2.37417i) q^{80} -1.95373 q^{81} +(-2.77868 - 7.25231i) q^{82} +(6.57539 - 6.57539i) q^{83} +(-3.70417 + 3.32684i) q^{84} +(8.06494 + 3.50054i) q^{85} +(9.43710 + 4.20877i) q^{86} +(-5.24933 - 5.24933i) q^{87} +(-2.11074 + 4.12334i) q^{88} +13.8436i q^{89} +(4.55852 + 4.97457i) q^{90} -2.67462i q^{91} +(0.131626 - 2.45263i) q^{92} +(-5.13378 - 5.13378i) q^{93} +(6.62058 - 14.8450i) q^{94} +(-2.89607 - 7.33819i) q^{95} +(-2.64688 + 4.55146i) q^{96} +(-0.0106669 + 0.0106669i) q^{97} +(0.202807 - 0.0777041i) q^{98} -3.49440 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) $ 72 * q - 8 * q^6 - 12 * q^8	$ 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) $ 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−0.505980	−	1.32060i	−0.357782	−	0.933805i
$2$	−0.505980	−	1.32060i	−0.357782	−	0.933805i
$3$	0.658144	−	0.658144i	0.379979	−	0.379979i	−0.491115	−	0.871095i	$-0.663411\pi$
$3$	0.658144	−	0.658144i	0.379979	−	0.379979i	0.871095	+	0.491115i	$0.163411\pi$
$4$	−1.48797	+	1.33639i	−0.743985	+	0.668197i
$5$	0.820865	+	2.07995i	0.367102	+	0.930181i
$5$	0.820865	+	2.07995i	0.367102	+	0.930181i
$6$	−1.20215	−	0.536137i	−0.490776	−	0.218877i
$7$	1.89124	+	1.89124i	0.714821	+	0.714821i	0.967540	−	0.252719i	$-0.0813247\pi$
$7$	1.89124	+	1.89124i	0.714821	+	0.714821i	−0.252719	+	0.967540i	$0.581325\pi$
$8$	2.51772	+	1.28882i	0.890150	+	0.455668i
$9$			2.13369i			0.711231i
$10$	2.33144	−	2.13645i	0.737265	−	0.675603i
$11$			1.63773i			0.493793i	0.969042	+	0.246896i	$0.0794107\pi$
$11$			1.63773i			0.493793i	−0.969042	+	0.246896i	$0.920589\pi$
$12$	−0.0997585	+	1.85884i	−0.0287978	+	0.536600i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$14$	1.54064	−	3.45450i	0.411754	−	0.923254i
$15$	1.90915	+	0.828657i	0.492941	+	0.213958i
$16$	0.428104	−	3.97702i	0.107026	−	0.994256i
$17$	2.78023	−	2.78023i	0.674306	−	0.674306i	−0.284400	−	0.958706i	$-0.591794\pi$
$17$	2.78023	−	2.78023i	0.674306	−	0.674306i	0.958706	+	0.284400i	$0.0917943\pi$
$18$	2.81776	−	1.07961i	0.664152	−	0.254466i
$19$	−3.52807			−0.809394			−0.404697	−	0.914451i	$-0.632623\pi$
$19$	−3.52807			−0.809394			−0.404697	+	0.914451i	$0.632623\pi$
$20$	−4.00105	−	1.99790i	−0.894662	−	0.446744i
$21$	2.48941			0.543235
$22$	2.16278	−	0.828656i	0.461106	−	0.176670i
$23$	−0.868383	+	0.868383i	−0.181070	+	0.181070i	−0.791822	−	0.610752i	$-0.790867\pi$
$23$	−0.868383	+	0.868383i	−0.181070	+	0.181070i	0.610752	+	0.791822i	$0.290867\pi$
$24$	2.50526	−	0.808792i	0.511383	−	0.165094i
$25$	−3.65236	+	3.41471i	−0.730472	+	0.682943i
$26$	−0.576024	+	1.29159i	−0.112968	+	0.253301i
$27$	3.37871	+	3.37871i	0.650233	+	0.650233i
$28$	−5.34155	−	0.286666i	−1.00946	−	0.0541747i
$29$		−	7.97596i		−	1.48110i	−0.672002	−	0.740549i	$-0.734565\pi$
$29$		−	7.97596i		−	1.48110i	0.672002	−	0.740549i	$-0.265435\pi$
$30$	0.128332	−	2.94051i	0.0234302	−	0.536861i
$31$		−	7.80040i		−	1.40099i	−0.713656	−	0.700496i	$-0.752962\pi$
$31$		−	7.80040i		−	1.40099i	0.713656	−	0.700496i	$-0.247038\pi$
$32$	−5.46867	+	1.44694i	−0.966734	+	0.255785i
$33$	1.07786	+	1.07786i	0.187631	+	0.187631i
$34$	−5.07832	−	2.26484i	−0.870925	−	0.388416i
$35$	−2.38122	+	5.48613i	−0.402500	+	0.927325i
$36$	−2.85145	−	3.17487i	−0.475242	−	0.529145i
$37$	4.02786	−	4.02786i	0.662176	−	0.662176i	−0.293716	−	0.955893i	$-0.594892\pi$
$37$	4.02786	−	4.02786i	0.662176	−	0.662176i	0.955893	+	0.293716i	$0.0948921\pi$
$38$	1.78513	+	4.65917i	0.289586	+	0.755817i
$39$	−0.930756			−0.149040
$40$	−0.613974	+	6.29468i	−0.0970779	+	0.995277i
$41$	5.49168			0.857656			0.428828	−	0.903386i	$-0.358927\pi$
$41$	5.49168			0.857656			0.428828	+	0.903386i	$0.358927\pi$
$42$	−1.25959	−	3.28752i	−0.194359	−	0.507275i
$43$	−5.16654	+	5.16654i	−0.787890	+	0.787890i	−0.981148	−	0.193258i	$-0.938095\pi$
$43$	−5.16654	+	5.16654i	−0.787890	+	0.787890i	0.193258	+	0.981148i	$0.438095\pi$
$44$	−2.18865	−	2.43688i	−0.329951	−	0.367374i
$45$	−4.43797	+	1.75148i	−0.661574	+	0.261095i
$46$	1.58617	+	0.707403i	0.233868	+	0.104301i
$47$	8.12719	+	8.12719i	1.18547	+	1.18547i	0.978306	+	0.207167i	$0.0664244\pi$
$47$	8.12719	+	8.12719i	1.18547	+	1.18547i	0.207167	+	0.978306i	$0.433576\pi$
$48$	−2.33570	−	2.89921i	−0.337129	−	0.418465i
$49$			0.153571i			0.0219388i
$50$	6.35749	+	3.09553i	0.899085	+	0.437774i
$51$		−	3.65959i		−	0.512445i
$52$	1.99713	+	0.107180i	0.276952	+	0.0148632i
$53$	−0.551967	−	0.551967i	−0.0758185	−	0.0758185i	0.668181	−	0.743999i	$-0.267073\pi$
$53$	−0.551967	−	0.551967i	−0.0758185	−	0.0758185i	−0.743999	+	0.668181i	$0.767073\pi$
$54$	2.75236	−	6.17148i	0.374549	−	0.839832i
$55$	−3.40638	+	1.34435i	−0.459316	+	0.181272i
$56$	2.32414	+	7.19909i	0.310577	+	0.962019i
$57$	−2.32198	+	2.32198i	−0.307553	+	0.307553i
$58$	−10.5331	+	4.03567i	−1.38306	+	0.529910i
$59$	8.09322			1.05365			0.526824	−	0.849975i	$-0.323383\pi$
$59$	8.09322			1.05365			0.526824	+	0.849975i	$0.323383\pi$
$60$	−3.94817	+	1.31836i	−0.509706	+	0.170200i
$61$	−8.43976			−1.08060			−0.540300	−	0.841472i	$-0.681689\pi$
$61$	−8.43976			−1.08060			−0.540300	+	0.841472i	$0.681689\pi$
$62$	−10.3012	+	3.94684i	−1.30825	+	0.501249i
$63$	−4.03533	+	4.03533i	−0.508403	+	0.508403i
$64$	4.67786	+	6.48981i	0.584733	+	0.811226i
$65$	0.890305	−	2.05118i	0.110429	−	0.254418i
$66$	0.878045	−	1.96879i	0.108080	−	0.242342i
$67$	−1.32687	−	1.32687i	−0.162103	−	0.162103i	0.621395	−	0.783498i	$-0.286566\pi$
$67$	−1.32687	−	1.32687i	−0.162103	−	0.162103i	−0.783498	+	0.621395i	$0.786566\pi$
$68$	−0.421416	+	7.85239i	−0.0511041	+	0.952242i
$69$			1.14304i			0.137606i
$70$	8.44984	+	0.368776i	1.00995	+	0.0440771i
$71$		−	6.50923i		−	0.772504i	−0.922393	−	0.386252i	$-0.873770\pi$
$71$		−	6.50923i		−	0.772504i	0.922393	−	0.386252i	$-0.126230\pi$
$72$	−2.74996	+	5.37205i	−0.324085	+	0.633102i
$73$	−4.95717	−	4.95717i	−0.580193	−	0.580193i	0.354763	−	0.934956i	$-0.384561\pi$
$73$	−4.95717	−	4.95717i	−0.580193	−	0.580193i	−0.934956	+	0.354763i	$0.884561\pi$
$74$	−7.35721	−	3.28118i	−0.855258	−	0.381429i
$75$	−0.156406	+	4.65115i	−0.0180602	+	0.537068i
$76$	5.24966	−	4.71489i	0.602177	−	0.540835i
$77$	−3.09733	+	3.09733i	−0.352974	+	0.352974i
$78$	0.470943	+	1.22916i	0.0533238	+	0.139175i
$79$	−14.6164			−1.64448			−0.822238	−	0.569143i	$-0.807275\pi$
$79$	−14.6164			−1.64448			−0.822238	+	0.569143i	$0.807275\pi$
$80$	8.62342	−	2.37417i	0.964127	−	0.265440i
$81$	−1.95373			−0.217081
$82$	−2.77868	−	7.25231i	−0.306854	−	0.800884i
$83$	6.57539	−	6.57539i	0.721743	−	0.721743i	−0.247217	−	0.968960i	$-0.579516\pi$
$83$	6.57539	−	6.57539i	0.721743	−	0.721743i	0.968960	+	0.247217i	$0.0795161\pi$
$84$	−3.70417	+	3.32684i	−0.404158	+	0.362988i
$85$	8.06494	+	3.50054i	0.874765	+	0.379687i
$86$	9.43710	+	4.20877i	1.01763	+	0.453843i
$87$	−5.24933	−	5.24933i	−0.562787	−	0.562787i
$88$	−2.11074	+	4.12334i	−0.225006	+	0.439549i
$89$			13.8436i			1.46742i	0.679462	+	0.733710i	$0.262213\pi$
$89$			13.8436i			1.46742i	−0.679462	+	0.733710i	$0.737787\pi$
$90$	4.55852	+	4.97457i	0.480510	+	0.524366i
$91$		−	2.67462i		−	0.280376i
$92$	0.131626	−	2.45263i	0.0137229	−	0.255704i
$93$	−5.13378	−	5.13378i	−0.532348	−	0.532348i
$94$	6.62058	−	14.8450i	0.682860	−	1.53114i
$95$	−2.89607	−	7.33819i	−0.297130	−	0.752883i
$96$	−2.64688	+	4.55146i	−0.270146	+	0.464532i
$97$	−0.0106669	+	0.0106669i	−0.00108306	+	0.00108306i	−0.707648	−	0.706565i	$-0.750244\pi$
$97$	−0.0106669	+	0.0106669i	−0.00108306	+	0.00108306i	0.706565	+	0.707648i	$0.250244\pi$
$98$	0.202807	−	0.0777041i	0.0204866	−	0.00784929i
$99$	−3.49440			−0.351201
$100$	0.871199	−	9.96198i	0.0871199	−	0.996198i
$101$	−8.35420			−0.831274			−0.415637	−	0.909531i	$-0.636441\pi$
$101$	−8.35420			−0.831274			−0.415637	+	0.909531i	$0.636441\pi$
$102$	−4.83285	+	1.85168i	−0.478524	+	0.183343i
$103$	12.8239	−	12.8239i	1.26358	−	1.26358i	0.314230	−	0.949347i	$-0.398254\pi$
$103$	12.8239	−	12.8239i	1.26358	−	1.26358i	0.949347	−	0.314230i	$-0.101746\pi$
$104$	−0.868963	−	2.69164i	−0.0852088	−	0.263937i
$105$	2.04347	+	5.17785i	0.199423	+	0.505306i
$106$	−0.449644	+	1.00821i	−0.0436733	+	0.0979262i
$107$	−2.23737	−	2.23737i	−0.216295	−	0.216295i	0.590640	−	0.806935i	$-0.298875\pi$
$107$	−2.23737	−	2.23737i	−0.216295	−	0.216295i	−0.806935	+	0.590640i	$0.798875\pi$
$108$	−9.54270	−	0.512130i	−0.918246	−	0.0492797i
$109$		−	4.09811i		−	0.392528i	−0.980551	−	0.196264i	$-0.937119\pi$
$109$		−	4.09811i		−	0.392528i	0.980551	−	0.196264i	$-0.0628809\pi$
$110$	3.49891	+	3.81825i	0.333608	+	0.364056i
$111$		−	5.30182i		−	0.503227i
$112$	8.33115	−	6.71186i	0.787220	−	0.634211i
$113$	3.86201	+	3.86201i	0.363308	+	0.363308i	0.865029	−	0.501722i	$-0.167300\pi$
$113$	3.86201	+	3.86201i	0.363308	+	0.363308i	−0.501722	+	0.865029i	$0.667300\pi$
$114$	4.24127	+	1.89153i	0.397232	+	0.177158i
$115$	−2.51902	−	1.09337i	−0.234900	−	0.101957i
$116$	10.6590	+	11.8680i	0.989665	+	1.10191i
$117$	1.50875	−	1.50875i	0.139484	−	0.139484i
$118$	−4.09501	−	10.6879i	−0.376976	−	0.983902i
$119$	10.5162			0.964016
$120$	3.73872	+	4.54689i	0.341297	+	0.415072i
$121$	8.31786			0.756169
$122$	4.27035	+	11.1455i	0.386619	+	1.00907i
$123$	3.61431	−	3.61431i	0.325892	−	0.325892i
$124$	10.4244	+	11.6067i	0.936139	+	1.04232i
$125$	−10.1005	−	4.79370i	−0.903418	−	0.428761i
$126$	7.37084	+	3.28726i	0.656647	+	0.292852i
$127$	2.46133	+	2.46133i	0.218408	+	0.218408i	0.807827	−	0.589419i	$-0.200643\pi$
$127$	2.46133	+	2.46133i	0.218408	+	0.218408i	−0.589419	+	0.807827i	$0.700643\pi$
$128$	6.20353	−	9.46130i	0.548320	−	0.836269i
$129$			6.80065i			0.598764i
$130$	−3.15927	−	0.137880i	−0.277086	−	0.0120929i
$131$		−	1.40309i		−	0.122589i	−0.998120	−	0.0612943i	$-0.980477\pi$
$131$		−	1.40309i		−	0.122589i	0.998120	−	0.0612943i	$-0.0195228\pi$
$132$	−3.04426	−	0.163377i	−0.264969	−	0.0142201i
$133$	−6.67242	−	6.67242i	−0.578572	−	0.578572i
$134$	−1.08089	+	2.42363i	−0.0933750	+	0.209370i
$135$	−4.25407	+	9.80100i	−0.366132	+	0.843536i
$136$	10.5831	−	3.41663i	0.907493	−	0.292973i
$137$	−0.493480	+	0.493480i	−0.0421609	+	0.0421609i	−0.727873	−	0.685712i	$-0.759491\pi$
$137$	−0.493480	+	0.493480i	−0.0421609	+	0.0421609i	0.685712	+	0.727873i	$0.259491\pi$
$138$	1.50950	−	0.578356i	0.128497	−	0.0492329i
$139$	−10.7648			−0.913056			−0.456528	−	0.889709i	$-0.650907\pi$
$139$	−10.7648			−0.913056			−0.456528	+	0.889709i	$0.650907\pi$
$140$	−3.78844	−	11.3454i	−0.320182	−	0.958865i
$141$	10.6977			0.900910
$142$	−8.59609	+	3.29354i	−0.721368	+	0.276388i
$143$	1.15805	−	1.15805i	0.0968407	−	0.0968407i
$144$	8.48575	+	0.913444i	0.707146	+	0.0761203i
$145$	16.5896	−	6.54719i	1.37769	−	0.543714i
$146$	−4.03821	+	9.05467i	−0.334205	+	0.749370i
$147$	0.101072	+	0.101072i	0.00833629	+	0.00833629i
$148$	−0.610525	+	11.3761i	−0.0501849	+	0.935113i
$149$		−	13.1342i		−	1.07599i	−0.842947	−	0.537996i	$-0.819182\pi$
$149$		−	13.1342i		−	1.07599i	0.842947	−	0.537996i	$-0.180818\pi$
$150$	6.22145	−	2.14684i	0.507979	−	0.175288i
$151$		−	20.5019i		−	1.66842i	−0.551443	−	0.834212i	$-0.685923\pi$
$151$		−	20.5019i		−	1.66842i	0.551443	−	0.834212i	$-0.314077\pi$
$152$	−8.88270	−	4.54706i	−0.720482	−	0.368815i
$153$	5.93217	+	5.93217i	0.479588	+	0.479588i
$154$	5.65752	+	2.52315i	0.455896	+	0.203321i
$155$	16.2244	−	6.40307i	1.30318	−	0.514307i
$156$	1.38494	−	1.24386i	0.110884	−	0.0995882i
$157$	−3.84213	+	3.84213i	−0.306635	+	0.306635i	−0.843603	−	0.536968i	$-0.819570\pi$
$157$	−3.84213	+	3.84213i	−0.306635	+	0.306635i	0.536968	+	0.843603i	$0.319570\pi$
$158$	7.39562	+	19.3025i	0.588364	+	1.53562i
$159$	−0.726547			−0.0576189
$160$	−7.49860	−	10.1868i	−0.592816	−	0.805338i
$161$	−3.28464			−0.258866
$162$	0.988549	+	2.58010i	0.0776677	+	0.202712i
$163$	8.79662	−	8.79662i	0.689005	−	0.689005i	−0.273007	−	0.962012i	$-0.588018\pi$
$163$	8.79662	−	8.79662i	0.689005	−	0.689005i	0.962012	+	0.273007i	$0.0880183\pi$
$164$	−8.17145	+	7.33904i	−0.638083	+	0.573083i
$165$	−1.35711	+	3.12666i	−0.105651	+	0.243411i
$166$	−12.0105	−	5.35645i	−0.932194	−	0.415741i
$167$	15.1016	+	15.1016i	1.16859	+	1.16859i	0.982539	+	0.186054i	$0.0595700\pi$
$167$	15.1016	+	15.1016i	1.16859	+	1.16859i	0.186054	+	0.982539i	$0.440430\pi$
$168$	6.26766	+	3.20842i	0.483560	+	0.247535i
$169$			1.00000i			0.0769231i
$170$	0.542122	−	12.4218i	0.0415789	−	0.952706i
$171$		−	7.52782i		−	0.575667i
$172$	0.783121	−	14.5922i	0.0597124	−	1.11264i
$173$	−13.3665	−	13.3665i	−1.01624	−	1.01624i	−0.999866	−	0.0163696i	$-0.994789\pi$
$173$	−13.3665	−	13.3665i	−1.01624	−	1.01624i	−0.0163696	−	0.999866i	$-0.505211\pi$
$174$	−4.27621	+	9.58831i	−0.324179	+	0.726888i
$175$	−13.3655	−	0.449448i	−1.01034	−	0.0339751i
$176$	6.51327	+	0.701117i	0.490956	+	0.0528487i
$177$	5.32650	−	5.32650i	0.400364	−	0.400364i
$178$	18.2819	−	7.00459i	1.37029	−	0.525016i
$179$	−12.2037			−0.912148			−0.456074	−	0.889942i	$-0.650745\pi$
$179$	−12.2037			−0.912148			−0.456074	+	0.889942i	$0.650745\pi$
$180$	4.26290	−	8.53702i	0.317738	−	0.636312i
$181$	−12.8690			−0.956543			−0.478271	−	0.878212i	$-0.658736\pi$
$181$	−12.8690			−0.956543			−0.478271	+	0.878212i	$0.658736\pi$
$182$	−3.53210	+	1.35330i	−0.261817	+	0.100313i
$183$	−5.55457	+	5.55457i	−0.410606	+	0.410606i
$184$	−3.30554	+	1.06716i	−0.243688	+	0.0786718i
$185$	11.6841	+	5.07141i	0.859030	+	0.372857i
$186$	−4.18208	+	9.37726i	−0.306645	+	0.687574i
$187$	4.55326	+	4.55326i	0.332967	+	0.332967i
$188$	−22.9541	−	1.23188i	−1.67410	−	0.0898443i
$189$			12.7799i			0.929600i
$190$	−8.22547	+	7.53753i	−0.596738	+	0.546830i
$191$			16.8603i			1.21997i	0.792414	+	0.609984i	$0.208824\pi$
$191$			16.8603i			1.21997i	−0.792414	+	0.609984i	$0.791176\pi$
$192$	7.34993	+	1.19252i	0.530436	+	0.0860626i
$193$	5.67678	+	5.67678i	0.408624	+	0.408624i	0.881258	−	0.472635i	$-0.156697\pi$
$193$	5.67678	+	5.67678i	0.408624	+	0.408624i	−0.472635	+	0.881258i	$0.656697\pi$
$194$	0.0194840	+	0.00868950i	0.00139887	+	0.000623870i
$195$	−0.764025	−	1.93592i	−0.0547130	−	0.138634i
$196$	−0.205232	−	0.228510i	−0.0146594	−	0.0163221i
$197$	−11.9805	+	11.9805i	−0.853578	+	0.853578i	−0.990572	−	0.136994i	$-0.956256\pi$
$197$	−11.9805	+	11.9805i	−0.853578	+	0.853578i	0.136994	+	0.990572i	$0.456256\pi$
$198$	1.76810	+	4.61471i	0.125653	+	0.327953i
$199$	−13.4943			−0.956583			−0.478291	−	0.878201i	$-0.658744\pi$
$199$	−13.4943			−0.956583			−0.478291	+	0.878201i	$0.658744\pi$
$200$	−13.5966	+	3.89005i	−0.961425	+	0.275068i
$201$	−1.74654			−0.123191
$202$	4.22705	+	11.0326i	0.297415	+	0.776248i
$203$	15.0844	−	15.0844i	1.05872	−	1.05872i
$204$	4.89065	+	5.44535i	0.342414	+	0.381251i
$205$	4.50793	+	11.4224i	0.314847	+	0.797775i
$206$	−23.4239	−	10.4466i	−1.63202	−	0.727850i
$207$	−1.85286	−	1.85286i	−0.128783	−	0.128783i
$208$	−3.11490	+	2.50947i	−0.215979	+	0.174000i
$209$		−	5.77800i		−	0.399673i
$210$	5.80391	−	5.31850i	0.400508	−	0.367011i
$211$			22.3207i			1.53662i	0.640077	+	0.768311i	$0.278903\pi$
$211$			22.3207i			1.53662i	−0.640077	+	0.768311i	$0.721097\pi$
$212$	1.55896	+	0.0836647i	0.107070	+	0.00574612i
$213$	−4.28401	−	4.28401i	−0.293535	−	0.293535i
$214$	−1.82261	+	4.08673i	−0.124591	+	0.279363i
$215$	−14.9872	−	6.50510i	−1.02212	−	0.443644i
$216$	4.15209	+	12.8612i	0.282514	+	0.875095i
$217$	14.7524	−	14.7524i	1.00146	−	1.00146i
$218$	−5.41196	+	2.07356i	−0.366544	+	0.140439i
$219$	−6.52506			−0.440923
$220$	3.27201	−	6.55262i	0.220599	−	0.441778i
$221$	−3.93185			−0.264485
$222$	−7.00159	+	2.68261i	−0.469916	+	0.180045i
$223$	−15.1774	+	15.1774i	−1.01635	+	1.01635i	−0.0164909	+	0.999864i	$0.505249\pi$
$223$	−15.1774	+	15.1774i	−1.01635	+	1.01635i	−0.999864	+	0.0164909i	$0.994751\pi$
$224$	−13.0791	−	7.60606i	−0.873882	−	0.508201i
$225$	−7.28595	−	7.79302i	−0.485730	−	0.519535i
$226$	3.14607	−	7.05427i	0.209274	−	0.469243i
$227$	−1.67416	−	1.67416i	−0.111118	−	0.111118i	0.649362	−	0.760480i	$-0.275036\pi$
$227$	−1.67416	−	1.67416i	−0.111118	−	0.111118i	−0.760480	+	0.649362i	$0.775036\pi$
$228$	0.351955	−	6.55810i	0.0233088	−	0.434321i
$229$			9.37677i			0.619634i	0.950796	+	0.309817i	$0.100268\pi$
$229$			9.37677i			0.619634i	−0.950796	+	0.309817i	$0.899732\pi$
$230$	−0.169327	+	3.87983i	−0.0111651	+	0.255829i
$231$			4.07698i			0.268245i
$232$	10.2796	−	20.0813i	0.674889	−	1.31840i
$233$	16.0668	+	16.0668i	1.05257	+	1.05257i	0.998539	+	0.0540344i	$0.0172081\pi$
$233$	16.0668	+	16.0668i	1.05257	+	1.05257i	0.0540344	+	0.998539i	$0.482792\pi$
$234$	−2.75585	−	1.22906i	−0.180156	−	0.0803460i
$235$	−10.2328	+	23.5755i	−0.667514	+	1.53789i
$236$	−12.0425	+	10.8157i	−0.783898	+	0.704044i
$237$	−9.61971	+	9.61971i	−0.624867	+	0.624867i
$238$	−5.32097	−	13.8877i	−0.344907	−	0.900204i
$239$	19.5885			1.26707			0.633537	−	0.773712i	$-0.281602\pi$
$239$	19.5885			1.26707			0.633537	+	0.773712i	$0.281602\pi$
$240$	4.11290	−	7.23799i	0.265487	−	0.467210i
$241$	−0.764560			−0.0492496			−0.0246248	−	0.999697i	$-0.507839\pi$
$241$	−0.764560			−0.0492496			−0.0246248	+	0.999697i	$0.507839\pi$
$242$	−4.20867	−	10.9846i	−0.270543	−	0.706114i
$243$	−11.4220	+	11.4220i	−0.732719	+	0.732719i
$244$	12.5581	−	11.2788i	0.803950	−	0.722054i
$245$	−0.319421	+	0.126062i	−0.0204070	+	0.00805377i
$246$	−6.60183	−	2.94429i	−0.420917	−	0.187721i
$247$	2.49472	+	2.49472i	0.158735	+	0.158735i
$248$	10.0533	−	19.6392i	0.638388	−	1.24709i
$249$		−	8.65511i		−	0.548495i
$250$	−1.21990	+	15.7643i	−0.0771533	+	0.997019i
$251$			4.66905i			0.294708i	0.989084	+	0.147354i	$0.0470756\pi$
$251$			4.66905i			0.294708i	−0.989084	+	0.147354i	$0.952924\pi$
$252$	0.611657	−	11.3972i	0.0385308	−	0.717958i
$253$	−1.42217	−	1.42217i	−0.0894113	−	0.0894113i
$254$	2.00505	−	4.49582i	0.125808	−	0.282093i
$255$	7.61175	−	3.00403i	0.476666	−	0.188120i
$256$	−15.6335	−	3.40516i	−0.977091	−	0.212823i
$257$	8.66539	−	8.66539i	0.540532	−	0.540532i	−0.383153	−	0.923685i	$-0.625162\pi$
$257$	8.66539	−	8.66539i	0.540532	−	0.540532i	0.923685	+	0.383153i	$0.125162\pi$
$258$	8.98094	−	3.44099i	0.559129	−	0.214227i
$259$	15.2353			0.946675
$260$	1.41644	+	4.24190i	0.0878440	+	0.263071i
$261$	17.0183			1.05340
$262$	−1.85292	+	0.709935i	−0.114474	+	0.0438599i
$263$	7.99625	−	7.99625i	0.493070	−	0.493070i	−0.416202	−	0.909272i	$-0.636639\pi$
$263$	7.99625	−	7.99625i	0.493070	−	0.493070i	0.909272	+	0.416202i	$0.136639\pi$
$264$	1.32458	+	4.10292i	0.0815222	+	0.252517i
$265$	0.694972	−	1.60115i	0.0426918	−	0.0983581i
$266$	−5.43549	+	12.1877i	−0.333271	+	0.747276i
$267$	9.11109	+	9.11109i	0.557590	+	0.557590i
$268$	3.74756	+	0.201121i	0.228918	+	0.0122854i
$269$		−	20.9021i		−	1.27442i	−0.770689	−	0.637211i	$-0.780088\pi$
$269$		−	20.9021i		−	1.27442i	0.770689	−	0.637211i	$-0.219912\pi$
$270$	15.0957	+	0.658819i	0.918693	+	0.0400945i
$271$			21.2210i			1.28908i	0.764570	+	0.644541i	$0.222951\pi$
$271$			21.2210i			1.28908i	−0.764570	+	0.644541i	$0.777049\pi$
$272$	−9.86683	−	12.2473i	−0.598265	−	0.742601i
$273$	−1.76028	−	1.76028i	−0.106537	−	0.106537i
$274$	0.901381	+	0.401999i	0.0544544	+	0.0242856i
$275$	−5.59236	−	5.98156i	−0.337232	−	0.360702i
$276$	−1.52755	−	1.70081i	−0.0919479	−	0.102377i
$277$	10.6769	−	10.6769i	0.641511	−	0.641511i	−0.309415	−	0.950927i	$-0.600133\pi$
$277$	10.6769	−	10.6769i	0.641511	−	0.641511i	0.950927	+	0.309415i	$0.100133\pi$
$278$	5.44676	+	14.2160i	0.326675	+	0.852617i
$279$	16.6437			0.996430
$280$	−13.0659	+	10.7436i	−0.780838	+	0.642052i
$281$	−26.8589			−1.60227			−0.801135	−	0.598484i	$-0.795770\pi$
$281$	−26.8589			−1.60227			−0.801135	+	0.598484i	$0.795770\pi$
$282$	−5.41283	−	14.1274i	−0.322329	−	0.841275i
$283$	−5.29625	+	5.29625i	−0.314829	+	0.314829i	−0.846777	−	0.531948i	$-0.821460\pi$
$283$	−5.29625	+	5.29625i	−0.314829	+	0.314829i	0.531948	+	0.846777i	$0.321460\pi$
$284$	8.69890	+	9.68554i	0.516185	+	0.574731i
$285$	−6.73561	−	2.92356i	−0.398983	−	0.173177i
$286$	−2.11526	−	0.943368i	−0.125078	−	0.0557825i
$287$	10.3861	+	10.3861i	0.613071	+	0.613071i
$288$	−3.08733	−	11.6685i	−0.181922	−	0.687571i
$289$			1.54059i			0.0906230i
$290$	−17.0402	−	18.5954i	−1.00064	−	1.09196i
$291$			0.0140407i			0.000823083i
$292$	14.0008	+	0.751386i	0.819338	+	0.0439715i
$293$	−12.1353	−	12.1353i	−0.708953	−	0.708953i	0.257362	−	0.966315i	$-0.417147\pi$
$293$	−12.1353	−	12.1353i	−0.708953	−	0.708953i	−0.966315	+	0.257362i	$0.917147\pi$
$294$	0.0823354	−	0.184616i	0.00480190	−	0.0107670i
$295$	6.64344	+	16.8335i	0.386796	+	0.980083i
$296$	15.3322	−	4.94984i	0.891169	−	0.287703i
$297$	−5.53339	+	5.53339i	−0.321080	+	0.321080i
$298$	−17.3450	+	6.64562i	−1.00477	+	0.384970i
$299$	1.22808			0.0710217
$300$	−5.98304	−	7.12979i	−0.345431	−	0.411638i
$301$	−19.5423			−1.12640
$302$	−27.0749	+	10.3736i	−1.55798	+	0.596932i
$303$	−5.49826	+	5.49826i	−0.315867	+	0.315867i
$304$	−1.51038	+	14.0312i	−0.0866263	+	0.804745i
$305$	−6.92790	−	17.5542i	−0.396691	−	1.00515i
$306$	4.83247	−	10.8356i	0.276254	−	0.619429i
$307$	−16.9432	−	16.9432i	−0.966997	−	0.966997i	0.0324756	−	0.999473i	$-0.489661\pi$
$307$	−16.9432	−	16.9432i	−0.966997	−	0.966997i	−0.999473	+	0.0324756i	$0.989661\pi$
$308$	0.469480	−	8.74798i	0.0267511	−	0.498463i
$309$		−	16.8799i		−	0.960266i
$310$	−16.6651	−	18.1861i	−0.946515	−	1.03290i
$311$			2.12910i			0.120730i	0.998176	+	0.0603652i	$0.0192265\pi$
$311$			2.12910i			0.120730i	−0.998176	+	0.0603652i	$0.980773\pi$
$312$	−2.34339	−	1.19958i	−0.132668	−	0.0679129i
$313$	19.7564	+	19.7564i	1.11670	+	1.11670i	0.992223	+	0.124474i	$0.0397242\pi$
$313$	19.7564	+	19.7564i	1.11670	+	1.11670i	0.124474	+	0.992223i	$0.460276\pi$
$314$	7.01795	+	3.12988i	0.396046	+	0.176629i
$315$	−11.7057	−	5.08081i	−0.659543	−	0.286271i
$316$	21.7488	−	19.5333i	1.22347	−	1.09883i
$317$	5.16186	−	5.16186i	0.289919	−	0.289919i	−0.547129	−	0.837048i	$-0.684279\pi$
$317$	5.16186	−	5.16186i	0.289919	−	0.289919i	0.837048	+	0.547129i	$0.184279\pi$
$318$	0.367618	+	0.959478i	0.0206150	+	0.0538049i
$319$	13.0624			0.731356
$320$	−9.65856	+	15.0570i	−0.539930	+	0.841710i
$321$	−2.94502			−0.164375
$322$	1.66196	+	4.33770i	0.0926175	+	0.241730i
$323$	−9.80886	+	9.80886i	−0.545779	+	0.545779i
$324$	2.90709	−	2.61096i	0.161505	−	0.145053i
$325$	4.99718	+	0.168042i	0.277193	+	0.00932130i
$326$	−16.0677	−	7.16591i	−0.889909	−	0.396883i
$327$	−2.69714	−	2.69714i	−0.149152	−	0.149152i
$328$	13.8265	+	7.07781i	0.763442	+	0.390806i
$329$			30.7409i			1.69480i
$330$	4.81574	+	0.210173i	0.265098	+	0.0115697i
$331$			7.47804i			0.411030i	0.978654	+	0.205515i	$0.0658869\pi$
$331$			7.47804i			0.411030i	−0.978654	+	0.205515i	$0.934113\pi$
$332$	−0.996669	+	18.5713i	−0.0546993	+	1.01923i
$333$	8.59422	+	8.59422i	0.470961	+	0.470961i
$334$	12.3020	−	27.5842i	0.673138	−	1.50934i
$335$	1.67064	−	3.84899i	0.0912765	−	0.210293i
$336$	1.06573	−	9.90046i	0.0581403	−	0.540114i
$337$	16.1356	−	16.1356i	0.878963	−	0.878963i	−0.114464	−	0.993427i	$-0.536515\pi$
$337$	16.1356	−	16.1356i	0.878963	−	0.878963i	0.993427	+	0.114464i	$0.0365152\pi$
$338$	1.32060	−	0.505980i	0.0718312	−	0.0275217i
$339$	5.08352			0.276099
$340$	−16.6785	+	5.56923i	−0.904518	+	0.302034i
$341$	12.7749			0.691800
$342$	−9.94124	+	3.80892i	−0.537560	+	0.205963i
$343$	12.9482	−	12.9482i	0.699139	−	0.699139i
$344$	−19.6667	+	6.34916i	−1.06036	+	0.342324i
$345$	−2.37747	+	0.938283i	−0.127998	+	0.0505155i
$346$	−10.8886	+	24.4150i	−0.585376	+	1.31256i
$347$	−1.13829	−	1.13829i	−0.0611068	−	0.0611068i	0.675893	−	0.737000i	$-0.263758\pi$
$347$	−1.13829	−	1.13829i	−0.0611068	−	0.0611068i	−0.737000	+	0.675893i	$0.763758\pi$
$348$	14.8260	+	0.795670i	0.794757	+	0.0426524i
$349$			28.5647i			1.52903i	0.644604	+	0.764517i	$0.277022\pi$
$349$			28.5647i			1.52903i	−0.644604	+	0.764517i	$0.722978\pi$
$350$	6.16914	+	17.8779i	0.329755	+	0.955615i
$351$		−	4.77821i		−	0.255042i
$352$	−2.36969	−	8.95618i	−0.126305	−	0.477366i
$353$	18.0473	+	18.0473i	0.960558	+	0.960558i	0.999251	−	0.0386928i	$-0.0123194\pi$
$353$	18.0473	+	18.0473i	0.960558	+	0.960558i	−0.0386928	+	0.999251i	$0.512319\pi$
$354$	−9.72928	−	4.33908i	−0.517105	−	0.230619i
$355$	13.5389	−	5.34320i	0.718568	−	0.283588i
$356$	−18.5005	−	20.5989i	−0.980526	−	1.09174i
$357$	6.92115	−	6.92115i	0.366306	−	0.366306i
$358$	6.17483	+	16.1162i	0.326350	+	0.851769i
$359$	−6.18564			−0.326466			−0.163233	−	0.986588i	$-0.552192\pi$
$359$	−6.18564			−0.326466			−0.163233	+	0.986588i	$0.552192\pi$
$360$	−13.4309	−	1.31003i	−0.707872	−	0.0690448i
$361$	−6.55274			−0.344881
$362$	6.51143	+	16.9948i	0.342233	+	0.893225i
$363$	5.47434	−	5.47434i	0.287329	−	0.287329i
$364$	3.57434	+	3.97975i	0.187346	+	0.208595i
$365$	6.24148	−	14.3798i	0.326694	−	0.752674i
$366$	10.1459	+	4.52487i	0.530333	+	0.236519i
$367$	−19.2253	−	19.2253i	−1.00355	−	1.00355i	−0.999994	−	0.00355779i	$-0.998868\pi$
$367$	−19.2253	−	19.2253i	−1.00355	−	1.00355i	−0.00355779	−	0.999994i	$-0.501132\pi$
$368$	3.08182	+	3.82534i	0.160651	+	0.199410i
$369$			11.7176i			0.609992i
$370$	0.785399	−	17.9960i	0.0408309	−	0.935568i
$371$		−	2.08780i		−	0.108393i
$372$	14.4997	+	0.778156i	0.751772	+	0.0403455i
$373$	13.1719	+	13.1719i	0.682016	+	0.682016i	0.960454	−	0.278438i	$-0.0898166\pi$
$373$	13.1719	+	13.1719i	0.682016	+	0.682016i	−0.278438	+	0.960454i	$0.589817\pi$
$374$	3.70918	−	8.31689i	0.191797	−	0.430056i
$375$	−9.80253	+	3.49265i	−0.506201	+	0.180360i
$376$	9.98750	+	30.9365i	0.515066	+	1.59543i
$377$	−5.63986	+	5.63986i	−0.290467	+	0.290467i
$378$	16.8771	−	6.46636i	0.868066	−	0.332594i
$379$	6.67592			0.342919			0.171460	−	0.985191i	$-0.445152\pi$
$379$	6.67592			0.342919			0.171460	+	0.985191i	$0.445152\pi$
$380$	14.1160	+	7.04872i	0.724134	+	0.361592i
$381$	3.23982			0.165981
$382$	22.2657	−	8.53096i	1.13921	−	0.436482i
$383$	18.1276	−	18.1276i	0.926279	−	0.926279i	−0.0711841	−	0.997463i	$-0.522678\pi$
$383$	18.1276	−	18.1276i	0.926279	−	0.926279i	0.997463	+	0.0711841i	$0.0226778\pi$
$384$	−2.14408	−	10.3097i	−0.109414	−	0.526115i
$385$	−8.98477	−	3.89979i	−0.457906	−	0.198752i
$386$	4.62442	−	10.3691i	0.235377	−	0.527773i
$387$	−11.0238	−	11.0238i	−0.560372	−	0.560372i
$388$	0.00161685	−	0.0301273i	8.20829e−5	−	0.00152948i
$389$		−	35.4186i		−	1.79579i	−0.440205	−	0.897897i	$-0.645094\pi$
$389$		−	35.4186i		−	1.79579i	0.440205	−	0.897897i	$-0.354906\pi$
$390$	−2.17000	+	1.98851i	−0.109882	+	0.100692i
$391$			4.82862i			0.244194i
$392$	−0.197927	+	0.386651i	−0.00999681	+	0.0195288i
$393$	−0.923435	−	0.923435i	−0.0465811	−	0.0465811i
$394$	21.8834	+	9.75959i	1.10247	+	0.491681i
$395$	−11.9981	−	30.4014i	−0.603691	−	1.52966i
$396$	5.19957	−	4.66990i	0.261288	−	0.234671i
$397$	−9.88325	+	9.88325i	−0.496026	+	0.496026i	−0.910199	−	0.414172i	$-0.864071\pi$
$397$	−9.88325	+	9.88325i	−0.496026	+	0.496026i	0.414172	+	0.910199i	$0.364071\pi$
$398$	6.82782	+	17.8205i	0.342248	+	0.893262i
$399$	−8.78282			−0.439691
$400$	12.0168	+	15.9874i	0.600840	+	0.799369i
$401$	10.1583			0.507281			0.253641	−	0.967299i	$-0.418372\pi$
$401$	10.1583			0.507281			0.253641	+	0.967299i	$0.418372\pi$
$402$	0.883713	+	2.30648i	0.0440756	+	0.115037i
$403$	−5.51571	+	5.51571i	−0.274757	+	0.274757i
$404$	12.4308	−	11.1645i	0.618455	−	0.555454i
$405$	−1.60375	−	4.06366i	−0.0796910	−	0.201925i
$406$	−27.5529	−	12.2881i	−1.36743	−	0.609848i
$407$	6.59653	+	6.59653i	0.326978	+	0.326978i
$408$	4.71656	−	9.21383i	0.233505	−	0.456153i
$409$			5.50011i			0.271963i	0.990711	+	0.135982i	$0.0434188\pi$
$409$			5.50011i			0.271963i	−0.990711	+	0.135982i	$0.956581\pi$
$410$	12.8035	−	11.7327i	0.632320	−	0.579435i
$411$			0.649562i			0.0320405i
$412$	−1.94379	+	36.2194i	−0.0957637	+	1.78440i
$413$	15.3062	+	15.3062i	0.753170	+	0.753170i
$414$	−1.50938	+	3.38440i	−0.0741820	+	0.166334i
$415$	19.0740	+	8.27896i	0.936305	+	0.406398i
$416$	4.89008	+	2.84379i	0.239756	+	0.139428i
$417$	−7.08477	+	7.08477i	−0.346943	+	0.346943i
$418$	−7.63043	+	2.92355i	−0.373217	+	0.142996i
$419$	18.5620			0.906815			0.453407	−	0.891303i	$-0.350208\pi$
$419$	18.5620			0.906815			0.453407	+	0.891303i	$0.350208\pi$
$420$	−9.96027	−	4.97360i	−0.486011	−	0.242687i
$421$	10.2994			0.501962			0.250981	−	0.967992i	$-0.419247\pi$
$421$	10.2994			0.501962			0.250981	+	0.967992i	$0.419247\pi$
$422$	29.4768	−	11.2938i	1.43491	−	0.549775i
$423$	−17.3409	+	17.3409i	−0.843145	+	0.843145i
$424$	−0.678312	−	2.10109i	−0.0329417	−	0.102038i
$425$	−0.660716	+	19.6481i	−0.0320494	+	0.953074i
$426$	−3.48984	+	7.82509i	−0.169083	+	0.379127i
$427$	−15.9616	−	15.9616i	−0.772436	−	0.772436i
$428$	6.31914	+	0.339130i	0.305447	+	0.0163925i
$429$		−	1.52432i		−	0.0735950i
$430$	−1.00743	+	23.0835i	−0.0485826	+	1.11318i
$431$		−	13.4505i		−	0.647889i	−0.946076	−	0.323944i	$-0.894991\pi$
$431$		−	13.4505i		−	0.647889i	0.946076	−	0.323944i	$-0.105009\pi$
$432$	14.8836	−	11.9908i	0.716090	−	0.576906i
$433$	−5.29244	−	5.29244i	−0.254338	−	0.254338i	0.568408	−	0.822747i	$-0.307559\pi$
$433$	−5.29244	−	5.29244i	−0.254338	−	0.254338i	−0.822747	+	0.568408i	$0.807559\pi$
$434$	−26.9465	−	12.0176i	−1.29347	−	0.576864i
$435$	6.60933	−	15.2273i	0.316893	−	0.730094i
$436$	5.47669	+	6.09786i	0.262286	+	0.292035i
$437$	3.06371	−	3.06371i	0.146557	−	0.146557i
$438$	3.30155	+	8.61700i	0.157754	+	0.411736i
$439$	5.70933			0.272491			0.136246	−	0.990675i	$-0.456496\pi$
$439$	5.70933			0.272491			0.136246	+	0.990675i	$0.456496\pi$
$440$	−10.3090	−	1.00552i	−0.491460	−	0.0479363i
$441$	−0.327675			−0.0156036
$442$	1.98943	+	5.19240i	0.0946277	+	0.246977i
$443$	−21.3935	+	21.3935i	−1.01644	+	1.01644i	−0.0165752	+	0.999863i	$0.505276\pi$
$443$	−21.3935	+	21.3935i	−1.01644	+	1.01644i	−0.999863	+	0.0165752i	$0.994724\pi$
$444$	7.08532	+	7.88895i	0.336255	+	0.374393i
$445$	−28.7940	+	11.3637i	−1.36497	+	0.538693i
$446$	27.7228	+	12.3638i	1.31271	+	0.585444i
$447$	−8.64416	−	8.64416i	−0.408855	−	0.408855i
$448$	−3.42682	+	21.1207i	−0.161902	+	0.997861i
$449$		−	2.92123i		−	0.137861i	−0.997621	−	0.0689307i	$-0.978041\pi$
$449$		−	2.92123i		−	0.137861i	0.997621	−	0.0689307i	$-0.0219587\pi$
$450$	−6.60492	+	13.5649i	−0.311359	+	0.639457i
$451$			8.99386i			0.423504i
$452$	−10.9077	−	0.585387i	−0.513056	−	0.0275343i
$453$	−13.4932	−	13.4932i	−0.633967	−	0.633967i
$454$	−1.36380	+	3.05798i	−0.0640064	+	0.143518i
$455$	5.56306	−	2.19550i	0.260800	−	0.102927i
$456$	−8.83871	+	2.85347i	−0.413910	+	0.133626i
$457$	−23.3601	+	23.3601i	−1.09274	+	1.09274i	−0.0975018	+	0.995235i	$0.531085\pi$
$457$	−23.3601	+	23.3601i	−1.09274	+	1.09274i	−0.995235	+	0.0975018i	$0.968915\pi$
$458$	12.3830	−	4.74445i	0.578618	−	0.221694i
$459$	18.7872			0.876911
$460$	5.20939	−	1.73950i	0.242889	−	0.0811048i
$461$	11.0916			0.516586			0.258293	−	0.966067i	$-0.416840\pi$
$461$	11.0916			0.516586			0.258293	+	0.966067i	$0.416840\pi$
$462$	5.38405	−	2.06287i	0.250489	−	0.0959732i
$463$	13.4705	−	13.4705i	0.626026	−	0.626026i	−0.321040	−	0.947066i	$-0.604032\pi$
$463$	13.4705	−	13.4705i	0.626026	−	0.626026i	0.947066	+	0.321040i	$0.104032\pi$
$464$	−31.7206	−	3.41454i	−1.47259	−	0.158516i
$465$	6.46385	−	14.8921i	0.299754	−	0.690606i
$466$	13.0884	−	29.3474i	0.606307	−	1.35949i
$467$	−7.11784	−	7.11784i	−0.329374	−	0.329374i	0.522974	−	0.852348i	$-0.324822\pi$
$467$	−7.11784	−	7.11784i	−0.329374	−	0.329374i	−0.852348	+	0.522974i	$0.824822\pi$
$468$	−0.228690	+	4.26126i	−0.0105712	+	0.196977i
$469$		−	5.01885i		−	0.231749i
$470$	36.3113	+	1.58473i	1.67492	+	0.0730983i
$471$			5.05735i			0.233030i
$472$	20.3765	+	10.4307i	0.937904	+	0.480114i
$473$	−8.46137	−	8.46137i	−0.389054	−	0.389054i
$474$	17.5712	+	7.83641i	0.807070	+	0.359938i
$475$	12.8858	−	12.0473i	0.591240	−	0.552770i
$476$	−15.6477	+	14.0538i	−0.717213	+	0.644153i
$477$	1.17773	−	1.17773i	0.0539245	−	0.0539245i
$478$	−9.91138	−	25.8686i	−0.453336	−	1.18320i
$479$	−36.7990			−1.68139			−0.840695	−	0.541508i	$-0.817853\pi$
$479$	−36.7990			−1.68139			−0.840695	+	0.541508i	$0.817853\pi$
$480$	−11.6395	−	1.76923i	−0.531270	−	0.0807537i
$481$	−5.69626			−0.259727
$482$	0.386852	+	1.00968i	0.0176206	+	0.0459896i
$483$	−2.16177	+	2.16177i	−0.0983637	+	0.0983637i
$484$	−12.3767	+	11.1159i	−0.562578	+	0.505270i
$485$	−0.0309428	−	0.0134305i	−0.00140504	−	0.000609850i
$486$	20.8631	+	9.30456i	0.946370	+	0.422063i
$487$	−0.572155	−	0.572155i	−0.0259268	−	0.0259268i	0.694025	−	0.719951i	$-0.255836\pi$
$487$	−0.572155	−	0.572155i	−0.0259268	−	0.0259268i	−0.719951	+	0.694025i	$0.755836\pi$
$488$	−21.2490	−	10.8774i	−0.961896	−	0.492395i
$489$		−	11.5789i		−	0.523615i
$490$	0.328097	+	0.358042i	0.0148219	+	0.0161747i
$491$		−	7.77959i		−	0.351088i	−0.984472	−	0.175544i	$-0.943832\pi$
$491$		−	7.77959i		−	0.351088i	0.984472	−	0.175544i	$-0.0561684\pi$
$492$	−0.547841	+	10.2081i	−0.0246986	+	0.460218i
$493$	−22.1750	−	22.1750i	−0.998714	−	0.998714i
$494$	2.03225	−	4.55681i	0.0914353	−	0.205020i
$495$	−2.86844	−	7.26818i	−0.128927	−	0.326680i
$496$	−31.0224	−	3.33938i	−1.39295	−	0.149943i
$497$	12.3105	−	12.3105i	0.552202	−	0.552202i
$498$	−11.4299	+	4.37931i	−0.512188	+	0.196241i
$499$	−2.74891			−0.123058			−0.0615291	−	0.998105i	$-0.519598\pi$
$499$	−2.74891			−0.123058			−0.0615291	+	0.998105i	$0.519598\pi$
$500$	21.4355	−	6.36539i	0.958626	−	0.284669i
$501$	19.8780			0.888083
$502$	6.16595	−	2.36244i	0.275200	−	0.105441i
$503$	12.1149	−	12.1149i	0.540178	−	0.540178i	−0.383403	−	0.923581i	$-0.625248\pi$
$503$	12.1149	−	12.1149i	0.540178	−	0.540178i	0.923581	+	0.383403i	$0.125248\pi$
$504$	−15.3607	+	4.95901i	−0.684218	+	0.220892i
$505$	−6.85767	−	17.3763i	−0.305162	−	0.773235i
$506$	−1.15853	+	2.59771i	−0.0515030	+	0.115482i
$507$	0.658144	+	0.658144i	0.0292292	+	0.0292292i
$508$	−6.95170	−	0.373078i	−0.308432	−	0.0165527i
$509$			19.3655i			0.858361i	0.903219	+	0.429180i	$0.141198\pi$
$509$			19.3655i			0.858361i	−0.903219	+	0.429180i	$0.858802\pi$
$510$	−7.81851	−	8.53210i	−0.346209	−	0.377808i
$511$		−	18.7504i		−	0.829469i
$512$	3.41335	+	22.3685i	0.150850	+	0.988557i
$513$	−11.9203	−	11.9203i	−0.526295	−	0.526295i
$514$	−15.8280	−	7.05900i	−0.698144	−	0.311359i
$515$	37.1997	+	16.1463i	1.63922	+	0.711493i
$516$	−9.08834	−	10.1192i	−0.400092	−	0.445471i
$517$	−13.3101	+	13.3101i	−0.585378	+	0.585378i
$518$	−7.70875	−	20.1197i	−0.338703	−	0.884011i
$519$	−17.5941			−0.772297
$520$	4.88516	−	4.01687i	0.214228	−	0.176151i
$521$	−35.2285			−1.54339			−0.771695	−	0.635993i	$-0.780591\pi$
$521$	−35.2285			−1.54339			−0.771695	+	0.635993i	$0.780591\pi$
$522$	−8.61089	−	22.4743i	−0.376889	−	0.983674i
$523$	17.8598	−	17.8598i	0.780954	−	0.780954i	−0.199038	−	0.979992i	$-0.563782\pi$
$523$	17.8598	−	17.8598i	0.780954	−	0.780954i	0.979992	+	0.199038i	$0.0637818\pi$
$524$	1.87508	+	2.08775i	0.0819133	+	0.0912040i
$525$	−9.09224	+	8.50063i	−0.396818	+	0.370998i
$526$	−14.6058	−	6.51390i	−0.636842	−	0.284020i
$527$	−21.6869	−	21.6869i	−0.944698	−	0.944698i
$528$	4.74811	−	3.82523i	0.206635	−	0.166472i
$529$			21.4918i			0.934427i
$530$	−2.46612	−	0.107629i	−0.107122	−	0.00467510i
$531$			17.2685i			0.749387i
$532$	18.8453	+	1.01138i	0.817049	+	0.0438487i
$533$	−3.88320	−	3.88320i	−0.168200	−	0.168200i
$534$	7.42208	−	16.6421i	0.321185	−	0.720175i
$535$	2.81703	−	6.49018i	0.121791	−	0.280595i
$536$	−1.63059	−	5.05079i	−0.0704306	−	0.218161i
$537$	−8.03179	+	8.03179i	−0.346597	+	0.346597i
$538$	−27.6033	+	10.5760i	−1.19006	+	0.455965i
$539$	−0.251508			−0.0108332
$540$	−6.76807	−	20.2687i	−0.291251	−	0.872226i
$541$	33.8314			1.45452			0.727262	−	0.686359i	$-0.240792\pi$
$541$	33.8314			1.45452			0.727262	+	0.686359i	$0.240792\pi$
$542$	28.0244	−	10.7374i	1.20375	−	0.461210i
$543$	−8.46963	+	8.46963i	−0.363466	+	0.363466i
$544$	−11.1814	+	19.2270i	−0.479397	+	0.824352i
$545$	8.52385	−	3.36400i	0.365122	−	0.144098i
$546$	−1.43396	+	3.21529i	−0.0613679	+	0.137602i
$547$	2.95286	+	2.95286i	0.126255	+	0.126255i	0.767411	−	0.641156i	$-0.221545\pi$
$547$	2.95286	+	2.95286i	0.126255	+	0.126255i	−0.641156	+	0.767411i	$0.721545\pi$
$548$	0.0747995	−	1.39377i	0.00319528	−	0.0595388i
$549$		−	18.0079i		−	0.768557i
$550$	−5.06963	+	10.4118i	−0.216170	+	0.443962i
$551$			28.1397i			1.19879i
$552$	−1.47318	+	2.87786i	−0.0627027	+	0.122490i
$553$	−27.6432	−	27.6432i	−1.17551	−	1.17551i
$554$	−19.5022	−	8.69760i	−0.828568	−	0.369526i
$555$	11.0275	−	4.35208i	0.468092	−	0.184736i
$556$	16.0177	−	14.3860i	0.679300	−	0.610101i
$557$	3.80718	−	3.80718i	0.161315	−	0.161315i	−0.621834	−	0.783149i	$-0.713612\pi$
$557$	3.80718	−	3.80718i	0.161315	−	0.161315i	0.783149	+	0.621834i	$0.213612\pi$
$558$	−8.42135	−	21.9796i	−0.356504	−	0.930471i
$559$	7.30659			0.309036
$560$	20.7991	+	11.8188i	0.878921	+	0.499437i
$561$	5.99340			0.253041
$562$	13.5901	+	35.4699i	0.573263	+	1.49621i
$563$	−31.6788	+	31.6788i	−1.33510	+	1.33510i	−0.434368	+	0.900736i	$0.643028\pi$
$563$	−31.6788	+	31.6788i	−1.33510	+	1.33510i	−0.900736	+	0.434368i	$0.856972\pi$
$564$	−15.9179	+	14.2964i	−0.670263	+	0.601985i
$565$	−4.86259	+	11.2030i	−0.204571	+	0.471313i
$566$	9.67402	+	4.31443i	0.406629	+	0.181349i
$567$	−3.69497	−	3.69497i	−0.155174	−	0.155174i
$568$	8.38926	−	16.3884i	0.352005	−	0.687644i
$569$		−	25.1606i		−	1.05479i	−0.849621	−	0.527393i	$-0.823170\pi$
$569$		−	25.1606i		−	1.05479i	0.849621	−	0.527393i	$-0.176830\pi$
$570$	−0.452765	+	10.3743i	−0.0189643	+	0.434532i
$571$		−	42.4686i		−	1.77726i	−0.458627	−	0.888629i	$-0.651659\pi$
$571$		−	42.4686i		−	1.77726i	0.458627	−	0.888629i	$-0.348341\pi$
$572$	−0.175532	+	3.27074i	−0.00733934	+	0.136757i
$573$	11.0965	+	11.0965i	0.463562	+	0.463562i
$574$	8.46071	−	18.9710i	0.353143	−	0.791834i
$575$	0.206369	−	6.13693i	0.00860618	−	0.255928i
$576$	−13.8473	+	9.98113i	−0.576969	+	0.415880i
$577$	−16.1672	+	16.1672i	−0.673048	+	0.673048i	−0.958418	−	0.285370i	$-0.907884\pi$
$577$	−16.1672	+	16.1672i	−0.673048	+	0.673048i	0.285370	+	0.958418i	$0.407884\pi$
$578$	2.03451	−	0.779508i	0.0846243	−	0.0324233i
$579$	7.47227			0.310537
$580$	−15.9352	+	31.9122i	−0.661671	+	1.32508i
$581$	24.8713			1.03183
$582$	0.0185422	−	0.00710433i	0.000768599	−	0.000294484i
$583$	0.903970	−	0.903970i	0.0374386	−	0.0374386i
$584$	−6.09186	−	18.8697i	−0.252083	−	0.780834i
$585$	4.37660	+	1.89964i	0.180950	+	0.0785404i
$586$	−9.88568	+	22.1661i	−0.408374	+	0.915674i
$587$	12.3005	+	12.3005i	0.507697	+	0.507697i	0.913819	−	0.406122i	$-0.133119\pi$
$587$	12.3005	+	12.3005i	0.507697	+	0.507697i	−0.406122	+	0.913819i	$0.633119\pi$
$588$	−0.285464	−	0.0153201i	−0.0117723	−	0.000631789i
$589$			27.5203i			1.13396i
$590$	18.8688	−	17.2907i	0.776818	−	0.711848i
$591$			15.7698i			0.648684i
$592$	−14.2946	−	17.7433i	−0.587503	−	0.729243i
$593$	10.0432	+	10.0432i	0.412424	+	0.412424i	0.882582	−	0.470158i	$-0.155803\pi$
$593$	10.0432	+	10.0432i	0.412424	+	0.412424i	−0.470158	+	0.882582i	$0.655803\pi$
$594$	10.1072	+	4.50762i	0.414703	+	0.184950i
$595$	8.63236	+	21.8731i	0.353892	+	0.896709i
$596$	17.5524	+	19.5432i	0.718974	+	0.800522i
$597$	−8.88116	+	8.88116i	−0.363482	+	0.363482i
$598$	−0.621383	−	1.62180i	−0.0254102	−	0.0663204i
$599$	−11.5903			−0.473568			−0.236784	−	0.971562i	$-0.576093\pi$
$599$	−11.5903			−0.473568			−0.236784	+	0.971562i	$0.576093\pi$
$600$	−6.38830	+	11.5087i	−0.260801	+	0.469842i
$601$	−3.91441			−0.159672			−0.0798360	−	0.996808i	$-0.525440\pi$
$601$	−3.91441			−0.159672			−0.0798360	+	0.996808i	$0.525440\pi$
$602$	9.88802	+	25.8076i	0.403006	+	1.05184i
$603$	2.83113	−	2.83113i	0.115293	−	0.115293i
$604$	27.3987	+	30.5063i	1.11484	+	1.24128i
$605$	6.82784	+	17.3007i	0.277591	+	0.703374i
$606$	10.0430	+	4.47900i	0.407970	+	0.181947i
$607$	−8.20464	−	8.20464i	−0.333016	−	0.333016i	0.520715	−	0.853731i	$-0.325666\pi$
$607$	−8.20464	−	8.20464i	−0.333016	−	0.333016i	−0.853731	+	0.520715i	$0.825666\pi$
$608$	19.2938	−	5.10490i	0.782469	−	0.207031i
$609$		−	19.8555i		−	0.804584i
$610$	−19.6768	+	18.0311i	−0.796689	+	0.730057i
$611$		−	11.4936i		−	0.464981i
$612$	−16.7546	−	0.899172i	−0.677265	−	0.0363469i
$613$	−23.7346	−	23.7346i	−0.958631	−	0.958631i	0.0405471	−	0.999178i	$-0.487090\pi$
$613$	−23.7346	−	23.7346i	−0.958631	−	0.958631i	−0.999178	+	0.0405471i	$0.987090\pi$
$614$	−13.8022	+	30.9480i	−0.557013	+	1.24896i
$615$	10.4844	+	4.55071i	0.422773	+	0.183503i
$616$	−11.7901	+	3.80631i	−0.475038	+	0.153360i
$617$	−22.7013	+	22.7013i	−0.913921	+	0.913921i	−0.996578	−	0.0826571i	$-0.973659\pi$
$617$	−22.7013	+	22.7013i	−0.913921	+	0.913921i	0.0826571	+	0.996578i	$0.473659\pi$
$618$	−22.2916	+	8.54091i	−0.896702	+	0.343566i
$619$	−33.7105			−1.35494			−0.677471	−	0.735550i	$-0.736924\pi$
$619$	−33.7105			−1.35494			−0.677471	+	0.735550i	$0.736924\pi$
$620$	−15.5844	+	31.2098i	−0.625884	+	1.25341i
$621$	−5.86803			−0.235476
$622$	2.81169	−	1.07728i	0.112739	−	0.0431951i
$623$	−26.1816	+	26.1816i	−1.04894	+	1.04894i
$624$	−0.398461	+	3.70164i	−0.0159512	+	0.148184i
$625$	1.67947	−	24.9435i	0.0671789	−	0.997741i
$626$	16.0939	−	36.0866i	0.643244	−	1.44231i
$627$	−3.80276	−	3.80276i	−0.151867	−	0.151867i
$628$	0.582373	−	10.8516i	0.0232392	−	0.433025i
$629$		−	22.3968i		−	0.893019i
$630$	−0.786854	+	18.0294i	−0.0313490	+	0.718307i
$631$			17.6344i			0.702013i	0.936373	+	0.351006i	$0.114160\pi$
$631$			17.6344i			0.702013i	−0.936373	+	0.351006i	$0.885840\pi$
$632$	−36.8001	−	18.8380i	−1.46383	−	0.749336i
$633$	14.6902	+	14.6902i	0.583885	+	0.583885i
$634$	−9.42855	−	4.20496i	−0.374456	−	0.167000i
$635$	−3.09902	+	7.13987i	−0.122981	+	0.283337i
$636$	1.08108	−	0.970953i	0.0428676	−	0.0385008i
$637$	0.108591	−	0.108591i	0.00430255	−	0.00430255i
$638$	−6.60932	−	17.2502i	−0.261666	−	0.682944i
$639$	13.8887			0.549429
$640$	24.7713	+	5.13657i	0.979170	+	0.203041i
$641$	−1.15882			−0.0457705			−0.0228853	−	0.999738i	$-0.507285\pi$
$641$	−1.15882			−0.0457705			−0.0228853	+	0.999738i	$0.507285\pi$
$642$	1.49012	+	3.88919i	0.0588103	+	0.153494i
$643$	0.553083	−	0.553083i	0.0218115	−	0.0218115i	−0.696117	−	0.717928i	$-0.745090\pi$
$643$	0.553083	−	0.553083i	0.0218115	−	0.0218115i	0.717928	+	0.696117i	$0.245090\pi$
$644$	4.88744	−	4.38957i	0.192592	−	0.172973i
$645$	−14.1450	+	5.58242i	−0.556958	+	0.219807i
$646$	17.9167	+	7.99049i	0.704921	+	0.314382i
$647$	7.94092	+	7.94092i	0.312190	+	0.312190i	0.845757	−	0.533568i	$-0.179149\pi$
$647$	7.94092	+	7.94092i	0.312190	+	0.312190i	−0.533568	+	0.845757i	$0.679149\pi$
$648$	−4.91896	−	2.51802i	−0.193235	−	0.0989171i
$649$			13.2545i			0.520283i
$650$	−2.30655	−	6.68430i	−0.0904704	−	0.262180i
$651$		−	19.4184i		−	0.761068i
$652$	−1.33335	+	24.8449i	−0.0522181	+	0.973000i
$653$	22.2142	+	22.2142i	0.869311	+	0.869311i	0.992396	−	0.123085i	$-0.0392789\pi$
$653$	22.2142	+	22.2142i	0.869311	+	0.869311i	−0.123085	+	0.992396i	$0.539279\pi$
$654$	−2.19715	+	4.92655i	−0.0859153	+	0.192643i
$655$	2.91835	−	1.15175i	0.114029	−	0.0450025i
$656$	2.35101	−	21.8405i	0.0917916	−	0.852730i
$657$	10.5771	−	10.5771i	0.412651	−	0.412651i
$658$	40.5965	−	15.5543i	1.58262	−	0.606369i
$659$	−3.57200			−0.139145			−0.0695727	−	0.997577i	$-0.522164\pi$
$659$	−3.57200			−0.139145			−0.0695727	+	0.997577i	$0.522164\pi$
$660$	−2.15911	−	6.46602i	−0.0840434	−	0.251689i
$661$	26.8543			1.04451			0.522256	−	0.852789i	$-0.325091\pi$
$661$	26.8543			1.04451			0.522256	+	0.852789i	$0.325091\pi$
$662$	9.87549	−	3.78373i	0.383822	−	0.147059i
$663$	−2.58772	+	2.58772i	−0.100499	+	0.100499i
$664$	25.0295	−	8.08050i	0.971335	−	0.313584i
$665$	8.40112	−	19.3554i	0.325782	−	0.750572i
$666$	7.00103	−	15.6980i	0.271284	−	0.608287i
$667$	6.92619	+	6.92619i	0.268183	+	0.268183i
$668$	−42.6523	−	2.28903i	−1.65027	−	0.0885651i
$669$			19.9778i			0.772388i
$670$	−5.92829	−	0.258728i	−0.229030	−	0.00999553i
$671$		−	13.8220i		−	0.533592i
$672$	−13.6138	+	3.60203i	−0.525163	+	0.138951i
$673$	−15.5979	−	15.5979i	−0.601256	−	0.601256i	0.339390	−	0.940646i	$-0.389779\pi$
$673$	−15.5979	−	15.5979i	−0.601256	−	0.601256i	−0.940646	+	0.339390i	$0.889779\pi$
$674$	−29.4730	−	13.1444i	−1.13526	−	0.506303i
$675$	−23.8776	−	0.802941i	−0.919048	−	0.0309052i
$676$	−1.33639	−	1.48797i	−0.0513998	−	0.0572296i
$677$	−9.60445	+	9.60445i	−0.369129	+	0.369129i	−0.867159	−	0.498031i	$-0.834057\pi$
$677$	−9.60445	+	9.60445i	−0.369129	+	0.369129i	0.498031	+	0.867159i	$0.334057\pi$
$678$	−2.57216	−	6.71329i	−0.0987831	−	0.257822i
$679$	−0.0403474			−0.00154839
$680$	15.7937	+	19.2077i	0.605661	+	0.736581i
$681$	−2.20367			−0.0844449
$682$	−6.46384	−	16.8705i	−0.247513	−	0.646006i
$683$	−26.8209	+	26.8209i	−1.02627	+	1.02627i	−0.0266268	+	0.999645i	$0.508477\pi$
$683$	−26.8209	+	26.8209i	−1.02627	+	1.02627i	−0.999645	+	0.0266268i	$0.991523\pi$
$684$	10.0601	+	11.2012i	0.384659	+	0.428287i
$685$	−1.43149	−	0.621332i	−0.0546946	−	0.0237399i
$686$	−23.6510	−	10.5479i	−0.902999	−	0.402721i
$687$	6.17126	+	6.17126i	0.235448	+	0.235448i
$688$	18.3356	+	22.7593i	0.699040	+	0.867689i
$689$			0.780599i			0.0297385i
$690$	2.44205	+	2.66493i	0.0929671	+	0.101452i
$691$			17.8773i			0.680085i	0.940410	+	0.340043i	$0.110442\pi$
$691$			17.8773i			0.680085i	−0.940410	+	0.340043i	$0.889558\pi$
$692$	37.7518	+	2.02603i	1.43511	+	0.0770182i
$693$	−6.60875	−	6.60875i	−0.251046	−	0.251046i
$694$	−0.927276	+	2.07918i	−0.0351989	+	0.0789247i
$695$	−8.83643	−	22.3902i	−0.335185	−	0.849307i
$696$	−6.45089	−	19.9818i	−0.244521	−	0.757409i
$697$	15.2682	−	15.2682i	0.578322	−	0.578322i
$698$	37.7225	−	14.4532i	1.42782	−	0.547060i
$699$	21.1486			0.799912
$700$	20.4881	−	17.1928i	0.774379	−	0.649828i
$701$	−5.70121			−0.215332			−0.107666	−	0.994187i	$-0.534338\pi$
$701$	−5.70121			−0.215332			−0.107666	+	0.994187i	$0.534338\pi$
$702$	−6.31011	+	2.41768i	−0.238160	+	0.0912494i
$703$	−14.2106	+	14.2106i	−0.535962	+	0.535962i
$704$	−10.6285	+	7.66106i	−0.400577	+	0.288737i
$705$	8.78138	+	22.2507i	0.330726	+	0.838009i
$706$	14.7017	−	32.9647i	0.553304	−	1.24064i
$707$	−15.7998	−	15.7998i	−0.594212	−	0.594212i
$708$	−0.807367	+	15.0440i	−0.0303427	+	0.565387i
$709$		−	16.2277i		−	0.609445i	−0.952441	−	0.304723i	$-0.901436\pi$
$709$		−	16.2277i		−	0.609445i	0.952441	−	0.304723i	$-0.0985638\pi$
$710$	−13.9066	−	15.1759i	−0.521906	−	0.569540i
$711$		−	31.1870i		−	1.16960i
$712$	−17.8420	+	34.8544i	−0.668657	+	1.30622i
$713$	6.77373	+	6.77373i	0.253678	+	0.253678i
$714$	−12.6420	−	5.63811i	−0.473116	−	0.211001i
$715$	3.35928	+	1.45808i	0.125630	+	0.0545289i
$716$	18.1587	−	16.3090i	0.678624	−	0.609494i
$717$	12.8920	−	12.8920i	0.481462	−	0.481462i
$718$	3.12981	+	8.16876i	0.116803	+	0.304855i
$719$	14.0007			0.522137			0.261068	−	0.965320i	$-0.415925\pi$
$719$	14.0007			0.522137			0.261068	+	0.965320i	$0.415925\pi$
$720$	5.06575	+	18.3997i	0.188789	+	0.685718i
$721$	48.5061			1.80646
$722$	3.31555	+	8.65355i	0.123392	+	0.322052i
$723$	−0.503190	+	0.503190i	−0.0187138	+	0.0187138i
$724$	19.1486	−	17.1980i	0.711653	−	0.639159i
$725$	27.2356	+	29.1311i	1.01151	+	1.08190i
$726$	−9.99933	−	4.45951i	−0.371110	−	0.165508i
$727$	−10.0262	−	10.0262i	−0.371852	−	0.371852i	0.496299	−	0.868151i	$-0.334692\pi$
$727$	−10.0262	−	10.0262i	−0.371852	−	0.371852i	−0.868151	+	0.496299i	$0.834692\pi$
$728$	3.44711	−	6.73394i	0.127758	−	0.249577i
$729$			9.17338i			0.339755i
$730$	−22.1481	−	0.966606i	−0.819737	−	0.0357757i
$731$			28.7284i			1.06256i
$732$	0.841937	−	15.6881i	0.0311189	−	0.579850i
$733$	−4.28988	−	4.28988i	−0.158450	−	0.158450i	0.623429	−	0.781880i	$-0.285739\pi$
$733$	−4.28988	−	4.28988i	−0.158450	−	0.158450i	−0.781880	+	0.623429i	$0.785739\pi$
$734$	−15.6613	+	35.1165i	−0.578069	+	1.29617i
$735$	−0.127258	+	0.293191i	−0.00469398	+	0.0108145i
$736$	3.49240	−	6.00540i	0.128732	−	0.221362i
$737$	2.17304	−	2.17304i	0.0800451	−	0.0800451i
$738$	15.4742	−	5.92885i	0.569613	−	0.218244i
$739$	41.3148			1.51979			0.759895	−	0.650045i	$-0.225250\pi$
$739$	41.3148			1.51979			0.759895	+	0.650045i	$0.225250\pi$
$740$	−24.1629	+	8.06842i	−0.888247	+	0.296601i
$741$	3.28377			0.120632
$742$	−2.75715	+	1.05639i	−0.101218	+	0.0387812i
$743$	0.849593	−	0.849593i	0.0311686	−	0.0311686i	−0.691351	−	0.722519i	$-0.742984\pi$
$743$	0.849593	−	0.849593i	0.0311686	−	0.0311686i	0.722519	+	0.691351i	$0.242984\pi$
$744$	−6.30890	−	19.5420i	−0.231296	−	0.716444i
$745$	27.3184	−	10.7814i	1.00087	−	0.394999i
$746$	10.7301	−	24.0596i	0.392858	−	0.880883i
$747$	14.0299	+	14.0299i	0.513326	+	0.513326i
$748$	−12.8601	−	0.690163i	−0.470210	−	0.0252349i
$749$		−	8.46280i		−	0.309224i
$750$	9.57228	+	11.1780i	0.349530	+	0.408163i
$751$			29.7557i			1.08580i	0.839797	+	0.542900i	$0.182674\pi$
$751$			29.7557i			1.08580i	−0.839797	+	0.542900i	$0.817326\pi$
$752$	35.8013	−	28.8428i	1.30554	−	1.05179i
$753$	3.07291	+	3.07291i	0.111983	+	0.111983i
$754$	10.3016	+	4.59434i	0.375164	+	0.167316i
$755$	42.6430	−	16.8293i	1.55194	−	0.612482i
$756$	−17.0790	−	19.0161i	−0.621156	−	0.691608i
$757$	−3.39816	+	3.39816i	−0.123508	+	0.123508i	−0.766159	−	0.642651i	$-0.777835\pi$
$757$	−3.39816	+	3.39816i	−0.123508	+	0.123508i	0.642651	+	0.766159i	$0.277835\pi$
$758$	−3.37788	−	8.81622i	−0.122690	−	0.320220i
$759$	−1.87199			−0.0679489
$760$	2.16614	−	22.2081i	0.0785743	−	0.805571i
$761$	−30.3122			−1.09882			−0.549409	−	0.835554i	$-0.685147\pi$
$761$	−30.3122			−1.09882			−0.549409	+	0.835554i	$0.685147\pi$
$762$	−1.63928	−	4.27851i	−0.0593850	−	0.154994i
$763$	7.75051	−	7.75051i	0.280587	−	0.280587i
$764$	−22.5320	−	25.0876i	−0.815178	−	0.907637i
$765$	−7.46909	+	17.2081i	−0.270045	+	0.622161i
$766$	−33.1116	−	14.7671i	−1.19637	−	0.533559i
$767$	−5.72277	−	5.72277i	−0.206637	−	0.206637i
$768$	−12.5301	+	8.04797i	−0.452143	+	0.290406i
$769$		−	33.2340i		−	1.19845i	−0.800581	−	0.599225i	$-0.795475\pi$
$769$		−	33.2340i		−	1.19845i	0.800581	−	0.599225i	$-0.204525\pi$
$770$	−0.603953	+	13.8385i	−0.0217650	+	0.498705i
$771$		−	11.4061i		−	0.410782i
$772$	−16.0333	−	0.860461i	−0.577051	−	0.0309687i
$773$	0.351564	+	0.351564i	0.0126449	+	0.0126449i	0.713401	−	0.700756i	$-0.247154\pi$
$773$	0.351564	+	0.351564i	0.0126449	+	0.0126449i	−0.700756	+	0.713401i	$0.747154\pi$
$774$	−8.98022	+	20.1359i	−0.322787	+	0.723769i
$775$	26.6361	+	28.4899i	0.956797	+	1.02339i
$776$	−0.0406042	+	0.0131086i	−0.00145761	+	0.000470571i
$777$	10.0270	−	10.0270i	0.359717	−	0.359717i
$778$	−46.7738	+	17.9211i	−1.67692	+	0.642502i
$779$	−19.3750			−0.694182
$780$	3.72400	+	1.85955i	0.133341	+	0.0665827i
$781$	10.6603			0.381457
$782$	6.37667	−	2.44318i	0.228029	−	0.0873680i
$783$	26.9484	−	26.9484i	0.963059	−	0.963059i
$784$	0.610758	+	0.0657446i	0.0218128	+	0.00234802i
$785$	−11.1453	−	4.83755i	−0.397793	−	0.172660i
$786$	−0.752249	+	1.68673i	−0.0268318	+	0.0601636i
$787$	6.96435	+	6.96435i	0.248252	+	0.248252i	0.820253	−	0.572001i	$-0.193833\pi$
$787$	6.96435	+	6.96435i	0.248252	+	0.248252i	−0.572001	+	0.820253i	$0.693833\pi$
$788$	1.81596	−	33.8374i	0.0646908	−	1.20541i
$789$		−	10.5254i		−	0.374713i
$790$	−34.0773	+	31.2272i	−1.21242	+	1.11101i
$791$			14.6080i			0.519400i
$792$	−8.79794	−	4.50367i	−0.312621	−	0.160031i
$793$	5.96781	+	5.96781i	0.211923	+	0.211923i
$794$	18.0525	+	8.05110i	0.640661	+	0.285723i
$795$	−0.596397	−	1.51118i	−0.0211520	−	0.0535960i
$796$	20.0790	−	18.0336i	0.711683	−	0.639186i
$797$	−22.4628	+	22.4628i	−0.795673	+	0.795673i	−0.982410	−	0.186737i	$-0.940209\pi$
$797$	−22.4628	+	22.4628i	−0.795673	+	0.795673i	0.186737	+	0.982410i	$0.440209\pi$
$798$	4.44393	+	11.5986i	0.157313	+	0.410586i
$799$	45.1910			1.59874
$800$	15.0327	−	23.9587i	0.531485	−	0.847067i
$801$	−29.5380			−1.04368
$802$	−5.13989	−	13.4151i	−0.181496	−	0.473702i
$803$	8.11848	−	8.11848i	0.286495	−	0.286495i
$804$	2.59880	−	2.33406i	0.0916525	−	0.0823161i
$805$	−2.69625	−	6.83188i	−0.0950302	−	0.240792i
$806$	10.0749	+	4.49321i	0.354873	+	0.158267i
$807$	−13.7566	−	13.7566i	−0.484254	−	0.484254i
$808$	−21.0336	−	10.7671i	−0.739958	−	0.378785i
$809$		−	32.7835i		−	1.15261i	−0.817236	−	0.576303i	$-0.804495\pi$
$809$		−	32.7835i		−	1.15261i	0.817236	−	0.576303i	$-0.195505\pi$
$810$	−4.55500	+	4.17404i	−0.160047	+	0.146661i
$811$			43.2528i			1.51881i	0.650617	+	0.759406i	$0.274510\pi$
$811$			43.2528i			1.51881i	−0.650617	+	0.759406i	$0.725490\pi$
$812$	−2.28643	+	42.6040i	−0.0802381	+	1.49511i
$813$	13.9664	+	13.9664i	0.489824	+	0.489824i
$814$	5.37367	−	12.0491i	0.188347	−	0.422320i
$815$	25.5174	+	11.0757i	0.893834	+	0.387964i
$816$	−14.5543	−	1.56669i	−0.509501	−	0.0548450i
$817$	18.2279	−	18.2279i	0.637713	−	0.637713i
$818$	7.26345	−	2.78295i	0.253961	−	0.0973034i
$819$	5.70681			0.199412
$820$	−21.9725	−	10.9718i	−0.767312	−	0.383152i
$821$	33.5716			1.17166			0.585829	−	0.810435i	$-0.300769\pi$
$821$	33.5716			1.17166			0.585829	+	0.810435i	$0.300769\pi$
$822$	0.857811	−	0.328665i	0.0299196	−	0.0114635i
$823$	23.9864	−	23.9864i	0.836114	−	0.836114i	−0.152231	−	0.988345i	$-0.548646\pi$
$823$	23.9864	−	23.9864i	0.836114	−	0.836114i	0.988345	+	0.152231i	$0.0486457\pi$
$824$	48.8148	−	15.7593i	1.70054	−	0.549001i
$825$	−7.61730	−	0.256150i	−0.265200	−	0.00891801i
$826$	12.4688	−	27.9580i	0.433844	−	0.972784i
$827$	20.1285	+	20.1285i	0.699938	+	0.699938i	0.964397	−	0.264459i	$-0.0851934\pi$
$827$	20.1285	+	20.1285i	0.699938	+	0.699938i	−0.264459	+	0.964397i	$0.585193\pi$
$828$	5.23316	+	0.280849i	0.181865	+	0.00976017i
$829$			49.3216i			1.71301i	0.516138	+	0.856506i	$0.327369\pi$
$829$			49.3216i			1.71301i	−0.516138	+	0.856506i	$0.672631\pi$
$830$	1.28215	−	29.3781i	0.0445039	−	1.01973i
$831$		−	14.0538i		−	0.487522i
$832$	1.28124	−	7.89674i	0.0444189	−	0.273770i
$833$	0.426965	+	0.426965i	0.0147935	+	0.0147935i
$834$	12.9409	+	5.77140i	0.448107	+	0.199847i
$835$	−19.0141	+	43.8068i	−0.658010	+	1.51600i
$836$	7.72169	+	8.59749i	0.267060	+	0.297351i
$837$	26.3553	−	26.3553i	0.910971	−	0.910971i
$838$	−9.39201	−	24.5130i	−0.324442	−	0.846788i
$839$	−18.9034			−0.652616			−0.326308	−	0.945263i	$-0.605805\pi$
$839$	−18.9034			−0.652616			−0.326308	+	0.945263i	$0.605805\pi$
$840$	−1.52844	+	15.6701i	−0.0527361	+	0.540669i
$841$	−34.6159			−1.19365
$842$	−5.21128	−	13.6014i	−0.179593	−	0.468734i
$843$	−17.6770	+	17.6770i	−0.608830	+	0.608830i
$844$	−29.8293	−	33.2126i	−1.02677	−	1.14322i
$845$	−2.07995	+	0.820865i	−0.0715524	+	0.0282386i
$846$	31.6746	+	14.1263i	1.08900	+	0.485672i
$847$	15.7311	+	15.7311i	0.540525	+	0.540525i
$848$	−2.43149	+	1.95889i	−0.0834976	+	0.0672685i
$849$			6.97138i			0.239257i
$850$	26.2816	−	9.06901i	0.901452	−	0.311064i
$851$			6.99546i			0.239801i
$852$	12.0996	+	0.649351i	0.414525	+	0.0222464i
$853$	40.5902	+	40.5902i	1.38978	+	1.38978i	0.825758	+	0.564024i	$0.190748\pi$
$853$	40.5902	+	40.5902i	1.38978	+	1.38978i	0.564024	+	0.825758i	$0.309252\pi$
$854$	−13.0026	+	29.1551i	−0.444941	+	0.997668i
$855$	15.6575	−	6.17932i	0.535474	−	0.211328i
$856$	−2.74950	−	8.51665i	−0.0939760	−	0.291093i
$857$	−11.2591	+	11.2591i	−0.384603	+	0.384603i	−0.872757	−	0.488154i	$-0.837670\pi$
$857$	−11.2591	+	11.2591i	−0.384603	+	0.384603i	0.488154	+	0.872757i	$0.337670\pi$
$858$	−2.01302	+	0.771276i	−0.0687234	+	0.0263309i
$859$	−13.1757			−0.449551			−0.224775	−	0.974411i	$-0.572165\pi$
$859$	−13.1757			−0.449551			−0.224775	+	0.974411i	$0.572165\pi$
$860$	30.9938	−	10.3494i	1.05688	−	0.352910i
$861$	13.6711			0.465908
$862$	−17.7628	+	6.80569i	−0.605002	+	0.231803i
$863$	−11.1486	+	11.1486i	−0.379504	+	0.379504i	−0.870923	−	0.491419i	$-0.836478\pi$
$863$	−11.1486	+	11.1486i	−0.379504	+	0.379504i	0.491419	+	0.870923i	$0.336478\pi$
$864$	−23.3658	−	13.5883i	−0.794922	−	0.462282i
$865$	16.8295	−	38.7737i	0.572220	−	1.31834i
$866$	−4.31133	+	9.66706i	−0.146505	+	0.328500i
$867$	1.01393	+	1.01393i	0.0344349	+	0.0344349i
$868$	−2.23611	+	41.6662i	−0.0758984	+	1.41424i
$869$		−	23.9377i		−	0.812031i
$870$	−23.4534	−	1.02357i	−0.795144	−	0.0347024i
$871$			1.87647i			0.0635819i
$872$	5.28174	−	10.3179i	0.178862	−	0.349408i
$873$	−0.0227600	−	0.0227600i	−0.000770308	−	0.000770308i
$874$	−5.59612	−	2.49576i	−0.189292	−	0.0844205i
$875$	−10.0365	−	28.1685i	−0.339295	−	0.952270i
$876$	9.70909	−	8.72005i	0.328040	−	0.294623i
$877$	−39.7478	+	39.7478i	−1.34219	+	1.34219i	−0.448308	+	0.893879i	$0.647973\pi$
$877$	−39.7478	+	39.7478i	−1.34219	+	1.34219i	−0.893879	+	0.448308i	$0.852027\pi$
$878$	−2.88880	−	7.53974i	−0.0974924	−	0.254454i
$879$	−15.9736			−0.538775
$880$	3.88823	+	14.1228i	0.131072	+	0.476079i
$881$	−11.2316			−0.378403			−0.189202	−	0.981938i	$-0.560590\pi$
$881$	−11.2316			−0.378403			−0.189202	+	0.981938i	$0.560590\pi$
$882$	0.165797	+	0.432727i	0.00558266	+	0.0145707i
$883$	−4.40807	+	4.40807i	−0.148344	+	0.148344i	−0.777378	−	0.629034i	$-0.783451\pi$
$883$	−4.40807	+	4.40807i	−0.148344	+	0.148344i	0.629034	+	0.777378i	$0.283451\pi$
$884$	5.85046	−	5.25449i	0.196772	−	0.176728i
$885$	15.4512	+	6.70650i	0.519386	+	0.225437i
$886$	39.0770	+	17.4276i	1.31282	+	0.585492i
$887$	3.99303	+	3.99303i	0.134073	+	0.134073i	0.770958	−	0.636886i	$-0.219778\pi$
$887$	3.99303	+	3.99303i	0.134073	+	0.134073i	−0.636886	+	0.770958i	$0.719778\pi$
$888$	6.83312	−	13.3485i	0.229304	−	0.447947i
$889$			9.30995i			0.312246i
$890$	29.5761	+	32.2755i	0.991395	+	1.08188i
$891$		−	3.19968i		−	0.107193i
$892$	2.30053	−	42.8665i	0.0770273	−	1.43528i
$893$	−28.6733	−	28.6733i	−0.959515	−	0.959515i
$894$	−7.04171	+	15.7893i	−0.235510	+	0.528072i
$895$	−10.0176	−	25.3831i	−0.334851	−	0.848462i
$896$	29.6259	−	6.16121i	0.989733	−	0.205832i
$897$	0.808253	−	0.808253i	0.0269868	−	0.0269868i
$898$	−3.85778	+	1.47808i	−0.128736	+	0.0493243i
$899$	−62.2156			−2.07501
$900$	21.2558	+	1.85887i	0.708527	+	0.0619624i
$901$	−3.06920			−0.102250
$902$	11.8773	−	4.55071i	0.395470	−	0.151522i
$903$	−12.8617	+	12.8617i	−0.428009	+	0.428009i
$904$	4.74602	+	14.7009i	0.157850	+	0.488946i
$905$	−10.5637	−	26.7668i	−0.351149	−	0.889757i
$906$	−10.9919	+	24.6464i	−0.365180	+	0.818823i
$907$	−12.8489	−	12.8489i	−0.426640	−	0.426640i	0.460842	−	0.887482i	$-0.347547\pi$
$907$	−12.8489	−	12.8489i	−0.426640	−	0.426640i	−0.887482	+	0.460842i	$0.847547\pi$
$908$	4.72843	+	0.253761i	0.156918	+	0.00842136i
$909$		−	17.8253i		−	0.591228i
$910$	−5.71417	−	6.23570i	−0.189423	−	0.206711i
$911$		−	49.6418i		−	1.64471i	−0.568978	−	0.822353i	$-0.692661\pi$
$911$		−	49.6418i		−	1.64471i	0.568978	−	0.822353i	$-0.307339\pi$
$912$	8.24051	+	10.2286i	0.272870	+	0.338703i
$913$	10.7687	+	10.7687i	0.356391	+	0.356391i
$914$	42.6690	+	19.0296i	1.41137	+	0.629442i
$915$	−16.1128	−	6.99366i	−0.532672	−	0.231203i
$916$	−12.5310	−	13.9523i	−0.414038	−	0.460998i
$917$	2.65358	−	2.65358i	0.0876289	−	0.0876289i
$918$	−9.50594	−	24.8104i	−0.313743	−	0.818865i
$919$	−27.1794			−0.896567			−0.448283	−	0.893892i	$-0.647964\pi$
$919$	−27.1794			−0.896567			−0.448283	+	0.893892i	$0.647964\pi$
$920$	−4.93303	−	5.99936i	−0.162637	−	0.197793i
$921$	−22.3021			−0.734878
$922$	−5.61211	−	14.6475i	−0.184825	−	0.482390i
$923$	−4.60272	+	4.60272i	−0.151500	+	0.151500i
$924$	−5.44844	−	6.06641i	−0.179241	−	0.199570i
$925$	−0.957211	+	28.4652i	−0.0314729	+	0.935930i
$926$	−24.6049	−	10.9733i	−0.808567	−	0.360606i
$927$	27.3623	+	27.3623i	0.898695	+	0.898695i
$928$	11.5407	+	43.6179i	0.378843	+	1.43183i
$929$			34.4689i			1.13089i	0.824787	+	0.565444i	$0.191295\pi$
$929$			34.4689i			1.13089i	−0.824787	+	0.565444i	$0.808705\pi$
$930$	−22.9371	−	1.00104i	−0.752138	−	0.0328255i
$931$		−	0.541811i		−	0.0177571i
$932$	−45.3786	−	2.43534i	−1.48642	−	0.0797722i
$933$	1.40126	+	1.40126i	0.0458750	+	0.0458750i
$934$	−5.79833	+	13.0013i	−0.189727	+	0.425415i
$935$	−5.73293	+	13.2082i	−0.187487	+	0.431953i
$936$	5.74313	−	1.85410i	0.187720	−	0.0606032i
$937$	−9.30831	+	9.30831i	−0.304089	+	0.304089i	−0.842611	−	0.538522i	$-0.818983\pi$
$937$	−9.30831	+	9.30831i	−0.304089	+	0.304089i	0.538522	+	0.842611i	$0.318983\pi$
$938$	−6.62789	+	2.53944i	−0.216408	+	0.0829155i
$939$	26.0051			0.848643
$940$	−16.2800	−	48.7546i	−0.530995	−	1.59020i
$941$	24.0792			0.784958			0.392479	−	0.919761i	$-0.371618\pi$
$941$	24.0792			0.784958			0.392479	+	0.919761i	$0.371618\pi$
$942$	6.67873	−	2.55891i	0.217605	−	0.0833739i
$943$	−4.76888	+	4.76888i	−0.155296	+	0.155296i
$944$	3.46474	−	32.1869i	0.112768	−	1.04760i
$945$	−26.5815	+	10.4906i	−0.864696	+	0.341258i
$946$	−6.89280	+	15.4554i	−0.224104	+	0.502497i
$947$	−18.9439	−	18.9439i	−0.615594	−	0.615594i	0.328804	−	0.944398i	$-0.393355\pi$
$947$	−18.9439	−	18.9439i	−0.615594	−	0.615594i	−0.944398	+	0.328804i	$0.893355\pi$
$948$	1.45811	−	27.1696i	0.0473573	−	0.882426i
$949$			7.01050i			0.227570i
$950$	−22.4297	−	10.9212i	−0.727714	−	0.354332i
$951$		−	6.79449i		−	0.220327i
$952$	26.4768	+	13.5535i	0.858119	+	0.439272i
$953$	24.8180	+	24.8180i	0.803933	+	0.803933i	0.983708	−	0.179775i	$-0.0575370\pi$
$953$	24.8180	+	24.8180i	0.803933	+	0.803933i	−0.179775	+	0.983708i	$0.557537\pi$
$954$	−2.15122	−	0.959402i	−0.0696482	−	0.0310618i
$955$	−35.0685	+	13.8400i	−1.13479	+	0.447853i
$956$	−29.1471	+	26.1779i	−0.942684	+	0.846655i
$957$	8.59695	−	8.59695i	0.277900	−	0.277900i
$958$	18.6196	+	48.5968i	0.601571	+	1.57009i
$959$	−1.86658			−0.0602750
$960$	3.55293	+	16.2664i	0.114670	+	0.524995i
$961$	−29.8462			−0.962780
$962$	2.88219	+	7.52248i	0.0929255	+	0.242534i
$963$	4.77386	−	4.77386i	0.153835	−	0.153835i
$964$	1.13764	−	1.02175i	0.0366410	−	0.0329084i
$965$	−7.14753	+	16.4673i	−0.230087	+	0.530100i
$966$	3.94864	+	1.76102i	0.127045	+	0.0566598i
$967$	−18.1875	−	18.1875i	−0.584870	−	0.584870i	0.351368	−	0.936238i	$-0.385717\pi$
$967$	−18.1875	−	18.1875i	−0.584870	−	0.584870i	−0.936238	+	0.351368i	$0.885717\pi$
$968$	20.9421	+	10.7203i	0.673103	+	0.344562i
$969$			12.9113i			0.414770i
$970$	−0.00207996	+	0.0476586i	−6.67835e−5	+	0.00153023i
$971$			47.1354i			1.51265i	0.654198	+	0.756323i	$0.273006\pi$
$971$			47.1354i			1.51265i	−0.654198	+	0.756323i	$0.726994\pi$
$972$	1.73129	−	32.2598i	0.0555312	−	1.03473i
$973$	−20.3588	−	20.3588i	−0.652672	−	0.652672i
$974$	−0.466090	+	1.04509i	−0.0149345	+	0.0334868i
$975$	3.39945	−	3.17826i	0.108870	−	0.101786i
$976$	−3.61310	+	33.5651i	−0.115652	+	1.07439i
$977$	21.0507	−	21.0507i	0.673473	−	0.673473i	−0.285042	−	0.958515i	$-0.592008\pi$
$977$	21.0507	−	21.0507i	0.673473	−	0.673473i	0.958515	+	0.285042i	$0.0920077\pi$
$978$	−15.2911	+	5.85868i	−0.488955	+	0.187340i
$979$	−22.6720			−0.724602
$980$	0.306820	−	0.614447i	0.00980101	−	0.0196278i
$981$	8.74411			0.279178
$982$	−10.2737	+	3.93631i	−0.327848	+	0.125613i
$983$	−24.5654	+	24.5654i	−0.783514	+	0.783514i	−0.980422	−	0.196908i	$-0.936910\pi$
$983$	−24.5654	+	24.5654i	−0.783514	+	0.783514i	0.196908	+	0.980422i	$0.436910\pi$
$984$	13.7581	−	4.44163i	0.438591	−	0.141594i
$985$	−34.7533	−	15.0845i	−1.10733	−	0.480631i
$986$	−18.0642	+	40.5045i	−0.575283	+	1.28993i
$987$	20.2319	+	20.2319i	0.643990	+	0.643990i
$988$	−7.04600	−	0.378139i	−0.224163	−	0.0120302i
$989$		−	8.97307i		−	0.285327i
$990$	−8.14698	+	7.46561i	−0.258928	+	0.237273i
$991$			51.7791i			1.64482i	0.568898	+	0.822408i	$0.307370\pi$
$991$			51.7791i			1.64482i	−0.568898	+	0.822408i	$0.692630\pi$
$992$	11.2867	+	42.6578i	0.358353	+	1.35439i
$993$	4.92162	+	4.92162i	0.156183	+	0.156183i
$994$	−22.4861	−	10.0284i	−0.713217	−	0.318081i
$995$	−11.0770	−	28.0673i	−0.351164	−	0.889795i
$996$	11.5666	+	12.8785i	0.366503	+	0.408072i
$997$	1.11340	−	1.11340i	0.0352618	−	0.0352618i	−0.689256	−	0.724518i	$-0.742062\pi$
$997$	1.11340	−	1.11340i	0.0352618	−	0.0352618i	0.724518	+	0.689256i	$0.242062\pi$
$998$	1.39089	+	3.63021i	0.0440280	+	0.114912i
$999$	27.2179			0.861137

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.o.a.183.14	yes	72
4.3	odd	2	inner	260.2.o.a.183.33	yes	72
5.2	odd	4	inner	260.2.o.a.27.33	yes	72
20.7	even	4	inner	260.2.o.a.27.14	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.o.a.27.14	✓	72	20.7	even	4	inner
260.2.o.a.27.33	yes	72	5.2	odd	4	inner
260.2.o.a.183.14	yes	72	1.1	even	1	trivial
260.2.o.a.183.33	yes	72	4.3	odd	2	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.505980 - 1.32060i) q^{2} +(0.658144 - 0.658144i) q^{3} +(-1.48797 + 1.33639i) q^{4} +(0.820865 + 2.07995i) q^{5} +(-1.20215 - 0.536137i) q^{6} +(1.89124 + 1.89124i) q^{7} +(2.51772 + 1.28882i) q^{8} +2.13369i q^{9} +O(q^{10})\)	\(q+(-0.505980 - 1.32060i) q^{2} +(0.658144 - 0.658144i) q^{3} +(-1.48797 + 1.33639i) q^{4} +(0.820865 + 2.07995i) q^{5} +(-1.20215 - 0.536137i) q^{6} +(1.89124 + 1.89124i) q^{7} +(2.51772 + 1.28882i) q^{8} +2.13369i q^{9} +(2.33144 - 2.13645i) q^{10} +1.63773i q^{11} +(-0.0997585 + 1.85884i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(1.54064 - 3.45450i) q^{14} +(1.90915 + 0.828657i) q^{15} +(0.428104 - 3.97702i) q^{16} +(2.78023 - 2.78023i) q^{17} +(2.81776 - 1.07961i) q^{18} -3.52807 q^{19} +(-4.00105 - 1.99790i) q^{20} +2.48941 q^{21} +(2.16278 - 0.828656i) q^{22} +(-0.868383 + 0.868383i) q^{23} +(2.50526 - 0.808792i) q^{24} +(-3.65236 + 3.41471i) q^{25} +(-0.576024 + 1.29159i) q^{26} +(3.37871 + 3.37871i) q^{27} +(-5.34155 - 0.286666i) q^{28} -7.97596i q^{29} +(0.128332 - 2.94051i) q^{30} -7.80040i q^{31} +(-5.46867 + 1.44694i) q^{32} +(1.07786 + 1.07786i) q^{33} +(-5.07832 - 2.26484i) q^{34} +(-2.38122 + 5.48613i) q^{35} +(-2.85145 - 3.17487i) q^{36} +(4.02786 - 4.02786i) q^{37} +(1.78513 + 4.65917i) q^{38} -0.930756 q^{39} +(-0.613974 + 6.29468i) q^{40} +5.49168 q^{41} +(-1.25959 - 3.28752i) q^{42} +(-5.16654 + 5.16654i) q^{43} +(-2.18865 - 2.43688i) q^{44} +(-4.43797 + 1.75148i) q^{45} +(1.58617 + 0.707403i) q^{46} +(8.12719 + 8.12719i) q^{47} +(-2.33570 - 2.89921i) q^{48} +0.153571i q^{49} +(6.35749 + 3.09553i) q^{50} -3.65959i q^{51} +(1.99713 + 0.107180i) q^{52} +(-0.551967 - 0.551967i) q^{53} +(2.75236 - 6.17148i) q^{54} +(-3.40638 + 1.34435i) q^{55} +(2.32414 + 7.19909i) q^{56} +(-2.32198 + 2.32198i) q^{57} +(-10.5331 + 4.03567i) q^{58} +8.09322 q^{59} +(-3.94817 + 1.31836i) q^{60} -8.43976 q^{61} +(-10.3012 + 3.94684i) q^{62} +(-4.03533 + 4.03533i) q^{63} +(4.67786 + 6.48981i) q^{64} +(0.890305 - 2.05118i) q^{65} +(0.878045 - 1.96879i) q^{66} +(-1.32687 - 1.32687i) q^{67} +(-0.421416 + 7.85239i) q^{68} +1.14304i q^{69} +(8.44984 + 0.368776i) q^{70} -6.50923i q^{71} +(-2.74996 + 5.37205i) q^{72} +(-4.95717 - 4.95717i) q^{73} +(-7.35721 - 3.28118i) q^{74} +(-0.156406 + 4.65115i) q^{75} +(5.24966 - 4.71489i) q^{76} +(-3.09733 + 3.09733i) q^{77} +(0.470943 + 1.22916i) q^{78} -14.6164 q^{79} +(8.62342 - 2.37417i) q^{80} -1.95373 q^{81} +(-2.77868 - 7.25231i) q^{82} +(6.57539 - 6.57539i) q^{83} +(-3.70417 + 3.32684i) q^{84} +(8.06494 + 3.50054i) q^{85} +(9.43710 + 4.20877i) q^{86} +(-5.24933 - 5.24933i) q^{87} +(-2.11074 + 4.12334i) q^{88} +13.8436i q^{89} +(4.55852 + 4.97457i) q^{90} -2.67462i q^{91} +(0.131626 - 2.45263i) q^{92} +(-5.13378 - 5.13378i) q^{93} +(6.62058 - 14.8450i) q^{94} +(-2.89607 - 7.33819i) q^{95} +(-2.64688 + 4.55146i) q^{96} +(-0.0106669 + 0.0106669i) q^{97} +(0.202807 - 0.0777041i) q^{98} -3.49440 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) 72 * q - 8 * q^6 - 12 * q^8	\( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

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