LMFDB - Embedded newform 260.2.o.a.183.19

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			183.19
Character	$\chi$	$=$	260.183
Dual form			260.2.o.a.27.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0221303 + 1.41404i) q^{2} +(-0.798638 + 0.798638i) q^{3} +(-1.99902 + 0.0625863i) q^{4} +(-1.57330 + 1.58893i) q^{5} +(-1.14698 - 1.11163i) q^{6} +(-1.30625 - 1.30625i) q^{7} +(-0.132739 - 2.82531i) q^{8} +1.72435i q^{9} +O(q^{10})$	\(q+(0.0221303 + 1.41404i) q^{2} +(-0.798638 + 0.798638i) q^{3} +(-1.99902 + 0.0625863i) q^{4} +(-1.57330 + 1.58893i) q^{5} +(-1.14698 - 1.11163i) q^{6} +(-1.30625 - 1.30625i) q^{7} +(-0.132739 - 2.82531i) q^{8} +1.72435i q^{9} +(-2.28164 - 2.18955i) q^{10} -3.52160i q^{11} +(1.54651 - 1.64648i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(1.81818 - 1.87599i) q^{14} +(-0.0124834 - 2.52548i) q^{15} +(3.99217 - 0.250223i) q^{16} +(-1.96348 + 1.96348i) q^{17} +(-2.43831 + 0.0381605i) q^{18} -2.70752 q^{19} +(3.04562 - 3.27478i) q^{20} +2.08644 q^{21} +(4.97969 - 0.0779341i) q^{22} +(-4.89998 + 4.89998i) q^{23} +(2.36241 + 2.15039i) q^{24} +(-0.0494285 - 4.99976i) q^{25} +(0.984229 - 1.01553i) q^{26} +(-3.77305 - 3.77305i) q^{27} +(2.69297 + 2.52946i) q^{28} +6.90940i q^{29} +(3.57086 - 0.0735418i) q^{30} -4.15716i q^{31} +(0.442173 + 5.63955i) q^{32} +(2.81248 + 2.81248i) q^{33} +(-2.81989 - 2.73299i) q^{34} +(4.13066 - 0.0204178i) q^{35} +(-0.107921 - 3.44702i) q^{36} +(-6.10784 + 6.10784i) q^{37} +(-0.0599183 - 3.82854i) q^{38} +1.12944 q^{39} +(4.69807 + 4.23416i) q^{40} +8.91075 q^{41} +(0.0461735 + 2.95031i) q^{42} +(-7.58581 + 7.58581i) q^{43} +(0.220404 + 7.03975i) q^{44} +(-2.73989 - 2.71293i) q^{45} +(-7.03720 - 6.82033i) q^{46} +(5.48290 + 5.48290i) q^{47} +(-2.98846 + 3.38813i) q^{48} -3.58744i q^{49} +(7.06876 - 0.180540i) q^{50} -3.13622i q^{51} +(1.45778 + 1.36927i) q^{52} +(-4.55558 - 4.55558i) q^{53} +(5.25175 - 5.41874i) q^{54} +(5.59559 + 5.54055i) q^{55} +(-3.51716 + 3.86394i) q^{56} +(2.16233 - 2.16233i) q^{57} +(-9.77017 + 0.152907i) q^{58} +2.28885 q^{59} +(0.183015 + 5.04771i) q^{60} -7.76763 q^{61} +(5.87839 - 0.0919991i) q^{62} +(2.25243 - 2.25243i) q^{63} +(-7.96476 + 0.750055i) q^{64} +(2.23604 - 0.0110527i) q^{65} +(-3.91473 + 4.03921i) q^{66} +(0.898523 + 0.898523i) q^{67} +(3.80215 - 4.04792i) q^{68} -7.82662i q^{69} +(0.120284 + 5.84047i) q^{70} +14.2978i q^{71} +(4.87184 - 0.228888i) q^{72} +(3.84146 + 3.84146i) q^{73} +(-8.77190 - 8.50156i) q^{74} +(4.03247 + 3.95352i) q^{75} +(5.41239 - 0.169454i) q^{76} +(-4.60008 + 4.60008i) q^{77} +(0.0249950 + 1.59708i) q^{78} +0.766856 q^{79} +(-5.88330 + 6.73697i) q^{80} +0.853540 q^{81} +(0.197198 + 12.6002i) q^{82} +(0.727706 - 0.727706i) q^{83} +(-4.17083 + 0.130582i) q^{84} +(-0.0306909 - 6.20899i) q^{85} +(-10.8945 - 10.5588i) q^{86} +(-5.51811 - 5.51811i) q^{87} +(-9.94962 + 0.467452i) q^{88} -0.442426i q^{89} +(3.77556 - 3.93435i) q^{90} +1.84731i q^{91} +(9.48848 - 10.1018i) q^{92} +(3.32006 + 3.32006i) q^{93} +(-7.63170 + 7.87438i) q^{94} +(4.25975 - 4.30208i) q^{95} +(-4.85709 - 4.15082i) q^{96} +(5.22374 - 5.22374i) q^{97} +(5.07279 - 0.0793912i) q^{98} +6.07249 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 $

$2$	0.0221303	+	1.41404i	0.0156485	+	0.999878i
$2$	0.0221303	+	1.41404i	0.0156485	+	0.999878i
$3$	−0.798638	+	0.798638i	−0.461094	+	0.461094i	−0.899014	−	0.437920i	$-0.855715\pi$
$3$	−0.798638	+	0.798638i	−0.461094	+	0.461094i	0.437920	+	0.899014i	$0.355715\pi$
$4$	−1.99902	+	0.0625863i	−0.999510	+	0.0312932i
$5$	−1.57330	+	1.58893i	−0.703603	+	0.710593i
$5$	−1.57330	+	1.58893i	−0.703603	+	0.710593i
$6$	−1.14698	−	1.11163i	−0.468253	−	0.453822i
$7$	−1.30625	−	1.30625i	−0.493715	−	0.493715i	0.415760	−	0.909474i	$-0.363516\pi$
$7$	−1.30625	−	1.30625i	−0.493715	−	0.493715i	−0.909474	+	0.415760i	$0.863516\pi$
$8$	−0.132739	−	2.82531i	−0.0469301	−	0.998898i
$9$			1.72435i			0.574785i
$10$	−2.28164	−	2.18955i	−0.721517	−	0.692397i
$11$		−	3.52160i		−	1.06180i	−0.847434	−	0.530901i	$-0.821854\pi$
$11$		−	3.52160i		−	1.06180i	0.847434	−	0.530901i	$-0.178146\pi$
$12$	1.54651	−	1.64648i	0.446439	−	0.475297i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$14$	1.81818	−	1.87599i	0.485928	−	0.501380i
$15$	−0.0124834	−	2.52548i	−0.00322320	−	0.652077i
$16$	3.99217	−	0.250223i	0.998041	−	0.0625557i
$17$	−1.96348	+	1.96348i	−0.476214	+	0.476214i	−0.903919	−	0.427705i	$-0.859322\pi$
$17$	−1.96348	+	1.96348i	−0.476214	+	0.476214i	0.427705	+	0.903919i	$0.359322\pi$
$18$	−2.43831	+	0.0381605i	−0.574714	+	0.00899451i
$19$	−2.70752			−0.621148			−0.310574	−	0.950549i	$-0.600521\pi$
$19$	−2.70752			−0.621148			−0.310574	+	0.950549i	$0.600521\pi$
$20$	3.04562	−	3.27478i	0.681022	−	0.732263i
$21$	2.08644			0.455298
$22$	4.97969	−	0.0779341i	1.06167	−	0.0166156i
$23$	−4.89998	+	4.89998i	−1.02172	+	1.02172i	−0.0219567	+	0.999759i	$0.506990\pi$
$23$	−4.89998	+	4.89998i	−1.02172	+	1.02172i	−0.999759	+	0.0219567i	$0.993010\pi$
$24$	2.36241	+	2.15039i	0.482225	+	0.438947i
$25$	−0.0494285	−	4.99976i	−0.00988571	−	0.999951i
$26$	0.984229	−	1.01553i	0.193023	−	0.199161i
$27$	−3.77305	−	3.77305i	−0.726124	−	0.726124i
$28$	2.69297	+	2.52946i	0.508923	+	0.478023i
$29$			6.90940i			1.28304i	0.767105	+	0.641522i	$0.221697\pi$
$29$			6.90940i			1.28304i	−0.767105	+	0.641522i	$0.778303\pi$
$30$	3.57086	−	0.0735418i	0.651947	−	0.0134268i
$31$		−	4.15716i		−	0.746647i	−0.927701	−	0.373324i	$-0.878218\pi$
$31$		−	4.15716i		−	0.746647i	0.927701	−	0.373324i	$-0.121782\pi$
$32$	0.442173	+	5.63955i	0.0781658	+	0.996940i
$33$	2.81248	+	2.81248i	0.489591	+	0.489591i
$34$	−2.81989	−	2.73299i	−0.483608	−	0.468703i
$35$	4.13066	−	0.0204178i	0.698210	−	0.00345123i
$36$	−0.107921	−	3.44702i	−0.0179868	−	0.574503i
$37$	−6.10784	+	6.10784i	−1.00412	+	1.00412i	−0.00413068	+	0.999991i	$0.501315\pi$
$37$	−6.10784	+	6.10784i	−1.00412	+	1.00412i	−0.999991	+	0.00413068i	$0.998685\pi$
$38$	−0.0599183	−	3.82854i	−0.00972003	−	0.621072i
$39$	1.12944			0.180856
$40$	4.69807	+	4.23416i	0.742831	+	0.669479i
$41$	8.91075			1.39162			0.695812	−	0.718224i	$-0.255045\pi$
$41$	8.91075			1.39162			0.695812	+	0.718224i	$0.255045\pi$
$42$	0.0461735	+	2.95031i	0.00712472	+	0.455242i
$43$	−7.58581	+	7.58581i	−1.15683	+	1.15683i	−0.171671	+	0.985154i	$0.554917\pi$
$43$	−7.58581	+	7.58581i	−1.15683	+	1.15683i	−0.985154	+	0.171671i	$0.945083\pi$
$44$	0.220404	+	7.03975i	0.0332271	+	1.06128i
$45$	−2.73989	−	2.71293i	−0.408438	−	0.404420i
$46$	−7.03720	−	6.82033i	−1.03758	−	1.00560i
$47$	5.48290	+	5.48290i	0.799763	+	0.799763i	0.983058	−	0.183295i	$-0.0586763\pi$
$47$	5.48290	+	5.48290i	0.799763	+	0.799763i	−0.183295	+	0.983058i	$0.558676\pi$
$48$	−2.98846	+	3.38813i	−0.431347	+	0.489035i
$49$		−	3.58744i		−	0.512492i
$50$	7.06876	−	0.180540i	0.999674	−	0.0255322i
$51$		−	3.13622i		−	0.439159i
$52$	1.45778	+	1.36927i	0.202157	+	0.189883i
$53$	−4.55558	−	4.55558i	−0.625757	−	0.625757i	0.321241	−	0.946998i	$-0.395900\pi$
$53$	−4.55558	−	4.55558i	−0.625757	−	0.625757i	−0.946998	+	0.321241i	$0.895900\pi$
$54$	5.25175	−	5.41874i	0.714672	−	0.737398i
$55$	5.59559	+	5.54055i	0.754510	+	0.747087i
$56$	−3.51716	+	3.86394i	−0.470001	+	0.516341i
$57$	2.16233	−	2.16233i	0.286408	−	0.286408i
$58$	−9.77017	+	0.152907i	−1.28289	+	0.0200777i
$59$	2.28885			0.297982			0.148991	−	0.988839i	$-0.452397\pi$
$59$	2.28885			0.297982			0.148991	+	0.988839i	$0.452397\pi$
$60$	0.183015	+	5.04771i	0.0236272	+	0.651657i
$61$	−7.76763			−0.994543			−0.497272	−	0.867595i	$-0.665665\pi$
$61$	−7.76763			−0.994543			−0.497272	+	0.867595i	$0.665665\pi$
$62$	5.87839	−	0.0919991i	0.746556	−	0.0116839i
$63$	2.25243	−	2.25243i	0.283780	−	0.283780i
$64$	−7.96476	+	0.750055i	−0.995595	+	0.0937569i
$65$	2.23604	−	0.0110527i	0.277347	−	0.00137092i
$66$	−3.91473	+	4.03921i	−0.481869	+	0.497192i
$67$	0.898523	+	0.898523i	0.109772	+	0.109772i	0.759859	−	0.650087i	$-0.225268\pi$
$67$	0.898523	+	0.898523i	0.109772	+	0.109772i	−0.650087	+	0.759859i	$0.725268\pi$
$68$	3.80215	−	4.04792i	0.461078	−	0.490883i
$69$		−	7.82662i		−	0.942214i
$70$	0.120284	+	5.84047i	0.0143767	+	0.698070i
$71$			14.2978i			1.69683i	0.529331	+	0.848416i	$0.322443\pi$
$71$			14.2978i			1.69683i	−0.529331	+	0.848416i	$0.677557\pi$
$72$	4.87184	−	0.228888i	0.574151	−	0.0269747i
$73$	3.84146	+	3.84146i	0.449609	+	0.449609i	0.895224	−	0.445616i	$-0.147015\pi$
$73$	3.84146	+	3.84146i	0.449609	+	0.449609i	−0.445616	+	0.895224i	$0.647015\pi$
$74$	−8.77190	−	8.50156i	−1.01971	−	0.988286i
$75$	4.03247	+	3.95352i	0.465630	+	0.456513i
$76$	5.41239	−	0.169454i	0.620844	−	0.0194377i
$77$	−4.60008	+	4.60008i	−0.524228	+	0.524228i
$78$	0.0249950	+	1.59708i	0.00283012	+	0.180834i
$79$	0.766856			0.0862780			0.0431390	−	0.999069i	$-0.486264\pi$
$79$	0.766856			0.0862780			0.0431390	+	0.999069i	$0.486264\pi$
$80$	−5.88330	+	6.73697i	−0.657773	+	0.753216i
$81$	0.853540			0.0948378
$82$	0.197198	+	12.6002i	0.0217768	+	1.39145i
$83$	0.727706	−	0.727706i	0.0798761	−	0.0798761i	−0.666040	−	0.745916i	$-0.732012\pi$
$83$	0.727706	−	0.727706i	0.0798761	−	0.0798761i	0.745916	+	0.666040i	$0.232012\pi$
$84$	−4.17083	+	0.130582i	−0.455075	+	0.0142477i
$85$	−0.0306909	−	6.20899i	−0.00332889	−	0.673460i
$86$	−10.8945	−	10.5588i	−1.17479	−	1.13858i
$87$	−5.51811	−	5.51811i	−0.591603	−	0.591603i
$88$	−9.94962	+	0.467452i	−1.06063	+	0.0498305i
$89$		−	0.442426i		−	0.0468970i	−0.999725	−	0.0234485i	$-0.992535\pi$
$89$		−	0.442426i		−	0.0468970i	0.999725	−	0.0234485i	$-0.00746458\pi$
$90$	3.77556	−	3.93435i	0.397979	−	0.414717i
$91$			1.84731i			0.193651i
$92$	9.48848	−	10.1018i	0.989243	−	1.05319i
$93$	3.32006	+	3.32006i	0.344274	+	0.344274i
$94$	−7.63170	+	7.87438i	−0.787150	+	0.812180i
$95$	4.25975	−	4.30208i	0.437042	−	0.441384i
$96$	−4.85709	−	4.15082i	−0.495725	−	0.423641i
$97$	5.22374	−	5.22374i	0.530390	−	0.530390i	−0.390298	−	0.920688i	$-0.627628\pi$
$97$	5.22374	−	5.22374i	0.530390	−	0.530390i	0.920688	+	0.390298i	$0.127628\pi$
$98$	5.07279	−	0.0793912i	0.512429	−	0.00801972i
$99$	6.07249			0.610308
$100$	0.411725	+	9.99152i	0.0411725	+	0.999152i
$101$	3.42179			0.340481			0.170240	−	0.985403i	$-0.445546\pi$
$101$	3.42179			0.340481			0.170240	+	0.985403i	$0.445546\pi$
$102$	4.43474	−	0.0694055i	0.439105	−	0.00687217i
$103$	9.11709	−	9.11709i	0.898333	−	0.898333i	−0.0969555	−	0.995289i	$-0.530910\pi$
$103$	9.11709	−	9.11709i	0.898333	−	0.898333i	0.995289	+	0.0969555i	$0.0309104\pi$
$104$	−1.90394	+	2.09166i	−0.186696	+	0.205104i
$105$	−3.28260	+	3.31521i	−0.320349	+	0.323532i
$106$	6.34096	−	6.54259i	0.615888	−	0.635473i
$107$	−0.884982	−	0.884982i	−0.0855545	−	0.0855545i	0.663034	−	0.748589i	$-0.269268\pi$
$107$	−0.884982	−	0.884982i	−0.0855545	−	0.0855545i	−0.748589	+	0.663034i	$0.769268\pi$
$108$	7.77854	+	7.30626i	0.748491	+	0.703045i
$109$		−	1.15044i		−	0.110192i	−0.998481	−	0.0550959i	$-0.982454\pi$
$109$		−	1.15044i		−	0.110192i	0.998481	−	0.0550959i	$-0.0175465\pi$
$110$	−7.71073	+	8.03501i	−0.735189	+	0.766108i
$111$		−	9.75590i		−	0.925989i
$112$	−5.54160	−	4.88790i	−0.523632	−	0.461863i
$113$	2.17872	+	2.17872i	0.204956	+	0.204956i	0.802120	−	0.597163i	$-0.203706\pi$
$113$	2.17872	+	2.17872i	0.204956	+	0.204956i	−0.597163	+	0.802120i	$0.703706\pi$
$114$	3.10547	+	3.00977i	0.290854	+	0.281891i
$115$	−0.0765909	−	15.4949i	−0.00714214	−	1.44491i
$116$	−0.432434	−	13.8120i	−0.0401505	−	1.28241i
$117$	1.21930	−	1.21930i	0.112725	−	0.112725i
$118$	0.0506529	+	3.23652i	0.00466298	+	0.297946i
$119$	5.12958			0.470228
$120$	−7.13362	+	0.370499i	−0.651208	+	0.0338217i
$121$	−1.40167			−0.127425
$122$	−0.171900	−	10.9837i	−0.0155631	−	0.994422i
$123$	−7.11646	+	7.11646i	−0.641670	+	0.641670i
$124$	0.260181	+	8.31024i	0.0233649	+	0.746282i
$125$	8.02205	+	7.78760i	0.717514	+	0.696544i
$126$	3.23488	+	3.13518i	0.288186	+	0.279304i
$127$	−7.30276	−	7.30276i	−0.648015	−	0.648015i	0.304498	−	0.952513i	$-0.401511\pi$
$127$	−7.30276	−	7.30276i	−0.648015	−	0.648015i	−0.952513	+	0.304498i	$0.901511\pi$
$128$	−1.23687	−	11.2459i	−0.109325	−	0.994006i
$129$		−	12.1166i		−	1.06681i
$130$	0.0651132	+	3.16161i	0.00571081	+	0.277291i
$131$		−	4.60019i		−	0.401920i	−0.979599	−	0.200960i	$-0.935594\pi$
$131$		−	4.60019i		−	0.401920i	0.979599	−	0.200960i	$-0.0644061\pi$
$132$	−5.79824	−	5.44619i	−0.504672	−	0.474030i
$133$	3.53669	+	3.53669i	0.306670	+	0.306670i
$134$	−1.25066	+	1.29043i	−0.108041	+	0.111476i
$135$	11.9313	−	0.0589760i	1.02688	−	0.00507585i
$136$	5.80807	+	5.28681i	0.498038	+	0.453340i
$137$	11.8882	−	11.8882i	1.01568	−	1.01568i	0.0158002	−	0.999875i	$-0.494970\pi$
$137$	11.8882	−	11.8882i	1.01568	−	1.01568i	0.999875	−	0.0158002i	$-0.00502957\pi$
$138$	11.0672	−	0.173205i	0.942098	−	0.0147442i
$139$	−10.1337			−0.859532			−0.429766	−	0.902940i	$-0.641404\pi$
$139$	−10.1337			−0.859532			−0.429766	+	0.902940i	$0.641404\pi$
$140$	−8.25600	+	0.299338i	−0.697760	+	0.0252987i
$141$	−8.75771			−0.737532
$142$	−20.2176	+	0.316414i	−1.69662	+	0.0265528i
$143$	−2.49015	+	2.49015i	−0.208237	+	0.208237i
$144$	0.431472	+	6.88391i	0.0359560	+	0.573659i
$145$	−10.9786	−	10.8706i	−0.911722	−	0.902753i
$146$	−5.34696	+	5.51699i	−0.442518	+	0.456589i
$147$	2.86507	+	2.86507i	0.236307	+	0.236307i
$148$	11.8274	−	12.5920i	0.972208	−	1.03505i
$149$		−	13.1713i		−	1.07904i	−0.841974	−	0.539519i	$-0.818606\pi$
$149$		−	13.1713i		−	1.07904i	0.841974	−	0.539519i	$-0.181394\pi$
$150$	−5.50120	+	5.78957i	−0.449171	+	0.472716i
$151$			19.6586i			1.59979i	0.600137	+	0.799897i	$0.295113\pi$
$151$			19.6586i			1.59979i	−0.600137	+	0.799897i	$0.704887\pi$
$152$	0.359392	+	7.64959i	0.0291506	+	0.620464i
$153$	−3.38573	−	3.38573i	−0.273720	−	0.273720i
$154$	−6.60650	−	6.40290i	−0.532367	−	0.515960i
$155$	6.60545	+	6.54047i	0.530562	+	0.525343i
$156$	−2.25778	+	0.0706878i	−0.180767	+	0.00565955i
$157$	−10.9745	+	10.9745i	−0.875863	+	0.875863i	−0.993104	−	0.117241i	$-0.962595\pi$
$157$	−10.9745	+	10.9745i	−0.875863	+	0.875863i	0.117241	+	0.993104i	$0.462595\pi$
$158$	0.0169708	+	1.08437i	0.00135012	+	0.0862675i
$159$	7.27652			0.577066
$160$	−9.65654	−	8.17014i	−0.763417	−	0.645906i
$161$	12.8012			1.00887
$162$	0.0188891	+	1.20694i	0.00148407	+	0.0948261i
$163$	−4.24886	+	4.24886i	−0.332796	+	0.332796i	−0.853648	−	0.520851i	$-0.825615\pi$
$163$	−4.24886	+	4.24886i	−0.332796	+	0.332796i	0.520851	+	0.853648i	$0.325615\pi$
$164$	−17.8128	+	0.557691i	−1.39094	+	0.0435483i
$165$	−8.89375	+	0.0439616i	−0.692377	+	0.00342240i
$166$	1.04511	+	1.01290i	0.0811163	+	0.0786164i
$167$	−12.8152	−	12.8152i	−0.991668	−	0.991668i	0.00829711	−	0.999966i	$-0.497359\pi$
$167$	−12.8152	−	12.8152i	−0.991668	−	0.991668i	−0.999966	+	0.00829711i	$0.997359\pi$
$168$	−0.276950	−	5.89483i	−0.0213672	−	0.454796i
$169$			1.00000i			0.0769231i
$170$	8.77909	−	0.180805i	0.673325	−	0.0138671i
$171$		−	4.66873i		−	0.357026i
$172$	14.6894	−	15.6390i	1.12006	−	1.19246i
$173$	3.57993	+	3.57993i	0.272177	+	0.272177i	0.829976	−	0.557799i	$-0.188354\pi$
$173$	3.57993	+	3.57993i	0.272177	+	0.272177i	−0.557799	+	0.829976i	$0.688354\pi$
$174$	7.68071	−	7.92495i	0.582273	−	0.600789i
$175$	−6.46635	+	6.59548i	−0.488810	+	0.498571i
$176$	−0.881184	−	14.0588i	−0.0664217	−	1.05972i
$177$	−1.82796	+	1.82796i	−0.137398	+	0.137398i
$178$	0.625608	−	0.00979101i	0.0468913	−	0.000733868i
$179$	−2.63043			−0.196608			−0.0983039	−	0.995156i	$-0.531342\pi$
$179$	−2.63043			−0.196608			−0.0983039	+	0.995156i	$0.531342\pi$
$180$	5.64688	+	5.25173i	0.420894	+	0.391441i
$181$	18.4843			1.37393			0.686963	−	0.726692i	$-0.258943\pi$
$181$	18.4843			1.37393			0.686963	+	0.726692i	$0.258943\pi$
$182$	−2.61217	+	0.0408816i	−0.193627	+	0.00303034i
$183$	6.20353	−	6.20353i	0.458578	−	0.458578i
$184$	14.4944	+	13.1935i	1.06854	+	0.972641i
$185$	−0.0954708	−	19.3144i	−0.00701915	−	1.42003i
$186$	−4.62123	+	4.76818i	−0.338845	+	0.349620i
$187$	6.91459	+	6.91459i	0.505645	+	0.505645i
$188$	−11.3036	−	10.6173i	−0.824398	−	0.774344i
$189$			9.85706i			0.716996i
$190$	6.17758	+	5.92826i	0.448169	+	0.430081i
$191$			23.2986i			1.68582i	0.538051	+	0.842912i	$0.319161\pi$
$191$			23.2986i			1.68582i	−0.538051	+	0.842912i	$0.680839\pi$
$192$	5.76194	−	6.95998i	0.415832	−	0.502294i
$193$	2.67458	+	2.67458i	0.192520	+	0.192520i	0.796784	−	0.604264i	$-0.206533\pi$
$193$	2.67458	+	2.67458i	0.192520	+	0.192520i	−0.604264	+	0.796784i	$0.706533\pi$
$194$	7.50218	+	7.27097i	0.538625	+	0.522025i
$195$	−1.77696	+	1.79461i	−0.127251	+	0.128515i
$196$	0.224525	+	7.17137i	0.0160375	+	0.512241i
$197$	−12.7121	+	12.7121i	−0.905697	+	0.905697i	−0.995921	−	0.0902242i	$-0.971242\pi$
$197$	−12.7121	+	12.7121i	−0.905697	+	0.905697i	0.0902242	+	0.995921i	$0.471242\pi$
$198$	0.134386	+	8.58674i	0.00955040	+	0.610233i
$199$	−7.65179			−0.542421			−0.271211	−	0.962520i	$-0.587424\pi$
$199$	−7.65179			−0.542421			−0.271211	+	0.962520i	$0.587424\pi$
$200$	−14.1193	+	0.803311i	−0.998385	+	0.0568027i
$201$	−1.43519			−0.101230
$202$	0.0757252	+	4.83855i	0.00532801	+	0.340439i
$203$	9.02538	−	9.02538i	0.633457	−	0.633457i
$204$	0.196284	+	6.26937i	0.0137427	+	0.438944i
$205$	−14.0193	+	14.1586i	−0.979151	+	0.988879i
$206$	13.0937	+	12.6902i	0.912281	+	0.884166i
$207$	−8.44929	−	8.44929i	−0.587267	−	0.587267i
$208$	−2.99982	−	2.64595i	−0.208000	−	0.183464i
$209$			9.53481i			0.659537i
$210$	−4.76049	−	4.56836i	−0.328505	−	0.315247i
$211$			0.696850i			0.0479731i	0.999712	+	0.0239866i	$0.00763589\pi$
$211$			0.696850i			0.0479731i	−0.999712	+	0.0239866i	$0.992364\pi$
$212$	9.39182	+	8.82158i	0.645033	+	0.605869i
$213$	−11.4187	−	11.4187i	−0.782399	−	0.782399i
$214$	1.23182	−	1.27099i	0.0842052	−	0.0868828i
$215$	−0.118573	−	23.9881i	−0.00808660	−	1.63598i
$216$	−10.1592	+	11.1609i	−0.691247	+	0.759401i
$217$	−5.43027	+	5.43027i	−0.368631	+	0.368631i
$218$	1.62676	−	0.0254595i	0.110178	−	0.00172434i
$219$	−6.13587			−0.414624
$220$	−11.5325	−	10.7255i	−0.777519	−	0.723111i
$221$	2.77678			0.186786
$222$	13.7952	−	0.215901i	0.925876	−	0.0144903i
$223$	−8.11155	+	8.11155i	−0.543190	+	0.543190i	−0.924463	−	0.381273i	$-0.875486\pi$
$223$	−8.11155	+	8.11155i	−0.543190	+	0.543190i	0.381273	+	0.924463i	$0.375486\pi$
$224$	6.78905	−	7.94422i	0.453613	−	0.530796i
$225$	8.62135	−	0.0852323i	0.574757	−	0.00568215i
$226$	−3.03258	+	3.12901i	−0.201724	+	0.208139i
$227$	16.3431	+	16.3431i	1.08473	+	1.08473i	0.996061	+	0.0886719i	$0.0282623\pi$
$227$	16.3431	+	16.3431i	1.08473	+	1.08473i	0.0886719	+	0.996061i	$0.471738\pi$
$228$	−4.18721	+	4.45787i	−0.277305	+	0.295230i
$229$		−	23.0298i		−	1.52185i	−0.648838	−	0.760926i	$-0.724745\pi$
$229$		−	23.0298i		−	1.52185i	0.648838	−	0.760926i	$-0.275255\pi$
$230$	21.9087	−	0.451209i	1.44462	−	0.0297519i
$231$		−	7.34760i		−	0.483436i
$232$	19.5212	−	0.917143i	1.28163	−	0.0602134i
$233$	12.3099	+	12.3099i	0.806449	+	0.806449i	0.984095	−	0.177645i	$-0.0568480\pi$
$233$	12.3099	+	12.3099i	0.806449	+	0.806449i	−0.177645	+	0.984095i	$0.556848\pi$
$234$	1.75113	+	1.69716i	0.114475	+	0.110947i
$235$	−17.3382	+	0.0857025i	−1.13102	+	0.00559061i
$236$	−4.57545	+	0.143250i	−0.297837	+	0.00932481i
$237$	−0.612440	+	0.612440i	−0.0397823	+	0.0397823i
$238$	0.113519	+	7.25343i	0.00735835	+	0.470170i
$239$	−12.2710			−0.793744			−0.396872	−	0.917874i	$-0.629904\pi$
$239$	−12.2710			−0.793744			−0.396872	+	0.917874i	$0.629904\pi$
$240$	−0.681769	−	10.0790i	−0.0440080	−	0.650599i
$241$	−25.1592			−1.62065			−0.810325	−	0.585981i	$-0.800709\pi$
$241$	−25.1592			−1.62065			−0.810325	+	0.585981i	$0.800709\pi$
$242$	−0.0310194	−	1.98202i	−0.00199400	−	0.127409i
$243$	10.6375	−	10.6375i	0.682395	−	0.682395i
$244$	15.5277	−	0.486147i	0.994056	−	0.0311224i
$245$	5.70021	+	5.64413i	0.364173	+	0.360591i
$246$	−10.2205	−	9.90547i	−0.651632	−	0.631550i
$247$	1.91451	+	1.91451i	0.121817	+	0.121817i
$248$	−11.7453	+	0.551815i	−0.745825	+	0.0350403i
$249$			1.16235i			0.0736608i
$250$	−10.8344	+	11.5158i	−0.685231	+	0.728326i
$251$			21.2328i			1.34020i	0.742269	+	0.670102i	$0.233750\pi$
$251$			21.2328i			1.34020i	−0.742269	+	0.670102i	$0.766250\pi$
$252$	−4.36169	+	4.64363i	−0.274760	+	0.292521i
$253$	17.2558	+	17.2558i	1.08486	+	1.08486i
$254$	10.1648	−	10.4880i	0.637795	−	0.658076i
$255$	4.98325	+	4.93423i	0.312063	+	0.308993i
$256$	15.8748	−	1.99786i	0.992174	−	0.124866i
$257$	−1.09013	+	1.09013i	−0.0680006	+	0.0680006i	−0.740289	−	0.672289i	$-0.765311\pi$
$257$	−1.09013	+	1.09013i	−0.0680006	+	0.0680006i	0.672289	+	0.740289i	$0.265311\pi$
$258$	17.1334	−	0.268145i	1.06668	−	0.0166940i
$259$	15.9567			0.991500
$260$	−4.46920	+	0.162040i	−0.277168	+	0.0100493i
$261$	−11.9143			−0.737474
$262$	6.50485	−	0.101804i	0.401871	−	0.00628944i
$263$	−12.5796	+	12.5796i	−0.775689	+	0.775689i	−0.979095	−	0.203405i	$-0.934799\pi$
$263$	−12.5796	+	12.5796i	−0.775689	+	0.775689i	0.203405	+	0.979095i	$0.434799\pi$
$264$	7.57282	−	8.31947i	0.466075	−	0.512028i
$265$	14.4058	−	0.0712077i	0.884943	−	0.00437425i
$266$	−4.92275	+	5.07929i	−0.301833	+	0.311431i
$267$	0.353338	+	0.353338i	0.0216239	+	0.0216239i
$268$	−1.85240	−	1.73993i	−0.113153	−	0.106283i
$269$			19.7683i			1.20529i	0.798008	+	0.602647i	$0.205887\pi$
$269$			19.7683i			1.20529i	−0.798008	+	0.602647i	$0.794113\pi$
$270$	0.347438	+	16.8700i	0.0211444	+	1.02668i
$271$		−	21.2849i		−	1.29296i	−0.762929	−	0.646482i	$-0.776239\pi$
$271$		−	21.2849i		−	1.29296i	0.762929	−	0.646482i	$-0.223761\pi$
$272$	−7.34723	+	8.32984i	−0.445491	+	0.505071i
$273$	−1.47533	−	1.47533i	−0.0892912	−	0.0892912i
$274$	17.0734	+	16.5473i	1.03144	+	0.999657i
$275$	−17.6071	+	0.174068i	−1.06175	+	0.0104967i
$276$	0.489839	+	15.6456i	0.0294848	+	0.941752i
$277$	−13.0098	+	13.0098i	−0.781685	+	0.781685i	−0.980115	−	0.198430i	$-0.936416\pi$
$277$	−13.0098	+	13.0098i	−0.781685	+	0.781685i	0.198430	+	0.980115i	$0.436416\pi$
$278$	−0.224263	−	14.3295i	−0.0134504	−	0.859426i
$279$	7.16841			0.429161
$280$	−0.605985	−	11.6677i	−0.0362145	−	0.697278i
$281$	12.4347			0.741790			0.370895	−	0.928675i	$-0.379051\pi$
$281$	12.4347			0.741790			0.370895	+	0.928675i	$0.379051\pi$
$282$	−0.193811	−	12.3837i	−0.0115413	−	0.737442i
$283$	13.2718	−	13.2718i	0.788926	−	0.788926i	−0.192393	−	0.981318i	$-0.561625\pi$
$283$	13.2718	−	13.2718i	0.788926	−	0.788926i	0.981318	+	0.192393i	$0.0616247\pi$
$284$	−0.894843	−	28.5815i	−0.0530992	−	1.69600i
$285$	0.0337991	+	6.83780i	0.00200209	+	0.405037i
$286$	−3.57628	−	3.46606i	−0.211470	−	0.204953i
$287$	−11.6396	−	11.6396i	−0.687066	−	0.687066i
$288$	−9.72458	+	0.762462i	−0.573026	+	0.0449285i
$289$			9.28949i			0.546441i
$290$	15.1285	−	15.7647i	0.888375	−	0.925737i
$291$			8.34375i			0.489119i
$292$	−7.91957	−	7.43873i	−0.463458	−	0.435319i
$293$	−6.94563	−	6.94563i	−0.405768	−	0.405768i	0.474492	−	0.880260i	$-0.342632\pi$
$293$	−6.94563	−	6.94563i	−0.405768	−	0.405768i	−0.880260	+	0.474492i	$0.842632\pi$
$294$	−3.98792	+	4.11473i	−0.232580	+	0.239976i
$295$	−3.60105	+	3.63683i	−0.209661	+	0.211744i
$296$	18.0673	+	16.4458i	1.05014	+	0.955892i
$297$	−13.2872	+	13.2872i	−0.771000	+	0.771000i
$298$	18.6248	−	0.291486i	1.07891	−	0.0168853i
$299$	6.92961			0.400750
$300$	−8.30843	−	7.65079i	−0.479687	−	0.441719i
$301$	19.8179			1.14228
$302$	−27.7981	+	0.435051i	−1.59960	+	0.0250344i
$303$	−2.73277	+	2.73277i	−0.156994	+	0.156994i
$304$	−10.8089	+	0.677483i	−0.619931	+	0.0388563i
$305$	12.2208	−	12.3423i	0.699764	−	0.706716i
$306$	4.71264	−	4.86249i	0.269404	−	0.277970i
$307$	−4.02072	−	4.02072i	−0.229474	−	0.229474i	0.582999	−	0.812473i	$-0.301879\pi$
$307$	−4.02072	−	4.02072i	−0.229474	−	0.229474i	−0.812473	+	0.582999i	$0.801879\pi$
$308$	8.90775	−	9.48355i	0.507566	−	0.540376i
$309$			14.5625i			0.828432i
$310$	−9.10231	+	9.48512i	−0.516976	+	0.538718i
$311$			25.4676i			1.44413i	0.691823	+	0.722067i	$0.256808\pi$
$311$			25.4676i			1.44413i	−0.691823	+	0.722067i	$0.743192\pi$
$312$	−0.149921	−	3.19103i	−0.00848760	−	0.180657i
$313$	8.61361	+	8.61361i	0.486870	+	0.486870i	0.907317	−	0.420447i	$-0.138127\pi$
$313$	8.61361	+	8.61361i	0.486870	+	0.486870i	−0.420447	+	0.907317i	$0.638127\pi$
$314$	−15.7613	−	15.2756i	−0.889461	−	0.862050i
$315$	0.0352075	+	7.12273i	0.00198372	+	0.401320i
$316$	−1.53296	+	0.0479947i	−0.0862358	+	0.00269991i
$317$	13.0464	−	13.0464i	0.732757	−	0.732757i	−0.238408	−	0.971165i	$-0.576626\pi$
$317$	13.0464	−	13.0464i	0.732757	−	0.732757i	0.971165	+	0.238408i	$0.0766257\pi$
$318$	0.161032	+	10.2893i	0.00903021	+	0.576995i
$319$	24.3321			1.36234
$320$	11.3392	−	13.8356i	0.633881	−	0.773431i
$321$	1.41356			0.0788973
$322$	0.283293	+	18.1013i	0.0157873	+	1.00875i
$323$	5.31616	−	5.31616i	0.295799	−	0.295799i
$324$	−1.70624	+	0.0534199i	−0.0947913	+	0.00296777i
$325$	−3.50041	+	3.57031i	−0.194168	+	0.198045i
$326$	−6.10209	−	5.91403i	−0.337963	−	0.327548i
$327$	0.918783	+	0.918783i	0.0508088	+	0.0508088i
$328$	−1.18280	−	25.1756i	−0.0653092	−	1.39009i
$329$		−	14.3240i		−	0.789710i
$330$	−0.258985	−	12.5751i	−0.0142566	−	0.692239i
$331$		−	22.5223i		−	1.23794i	−0.785415	−	0.618970i	$-0.787550\pi$
$331$		−	22.5223i		−	1.23794i	0.785415	−	0.618970i	$-0.212450\pi$
$332$	−1.40916	+	1.50024i	−0.0773374	+	0.0823366i
$333$	−10.5321	−	10.5321i	−0.577154	−	0.577154i
$334$	17.8376	−	18.4048i	0.976029	−	1.00707i
$335$	−2.84134	+	0.0140447i	−0.155239	+	0.000767343i
$336$	8.32940	−	0.522074i	0.454406	−	0.0284814i
$337$	18.5334	−	18.5334i	1.00958	−	1.00958i	0.00962269	−	0.999954i	$-0.496937\pi$
$337$	18.5334	−	18.5334i	1.00958	−	1.00958i	0.999954	−	0.00962269i	$-0.00306304\pi$
$338$	−1.41404	+	0.0221303i	−0.0769137	+	0.00120373i
$339$	−3.48001			−0.189008
$340$	0.449950	+	12.4100i	0.0244019	+	0.673026i
$341$	−14.6398			−0.792792
$342$	6.60177	−	0.103320i	0.356983	−	0.00558692i
$343$	−13.8298	+	13.8298i	−0.746739	+	0.746739i
$344$	22.4392	+	20.4253i	1.20984	+	1.10126i
$345$	12.4360	+	12.3136i	0.669531	+	0.662944i
$346$	−4.98295	+	5.14140i	−0.267885	+	0.276403i
$347$	−19.0075	−	19.0075i	−1.02038	−	1.02038i	−0.999788	−	0.0205887i	$-0.993446\pi$
$347$	−19.0075	−	19.0075i	−1.02038	−	1.02038i	−0.0205887	−	0.999788i	$-0.506554\pi$
$348$	11.3762	+	10.6855i	0.609827	+	0.572801i
$349$		−	7.56368i		−	0.404874i	−0.979295	−	0.202437i	$-0.935114\pi$
$349$		−	7.56368i		−	0.404874i	0.979295	−	0.202437i	$-0.0648862\pi$
$350$	−9.46938	−	8.99772i	−0.506159	−	0.480948i
$351$			5.33590i			0.284809i
$352$	19.8602	−	1.55716i	1.05855	−	0.0829967i
$353$	−21.5167	−	21.5167i	−1.14522	−	1.14522i	−0.987481	−	0.157740i	$-0.949579\pi$
$353$	−21.5167	−	21.5167i	−1.14522	−	1.14522i	−0.157740	−	0.987481i	$-0.550421\pi$
$354$	−2.62526	−	2.54436i	−0.139531	−	0.135231i
$355$	−22.7182	−	22.4947i	−1.20576	−	1.19390i
$356$	0.0276898	+	0.884418i	0.00146756	+	0.0468740i
$357$	−4.09668	+	4.09668i	−0.216819	+	0.216819i
$358$	−0.0582123	−	3.71954i	−0.00307661	−	0.196584i
$359$	−25.3560			−1.33824			−0.669120	−	0.743155i	$-0.733329\pi$
$359$	−25.3560			−1.33824			−0.669120	+	0.743155i	$0.733329\pi$
$360$	−7.30119	+	8.10114i	−0.384807	+	0.426968i
$361$	−11.6693			−0.614175
$362$	0.409063	+	26.1375i	0.0214999	+	1.37376i
$363$	1.11943	−	1.11943i	0.0587547	−	0.0587547i
$364$	−0.115616	−	3.69281i	−0.00605995	−	0.193556i
$365$	−12.1476	+	0.0600453i	−0.635835	+	0.00314292i
$366$	8.90932	+	8.63475i	0.465698	+	0.451346i
$367$	−0.233912	−	0.233912i	−0.0122101	−	0.0122101i	0.700975	−	0.713185i	$-0.252748\pi$
$367$	−0.233912	−	0.233912i	−0.0122101	−	0.0122101i	−0.713185	+	0.700975i	$0.752748\pi$
$368$	−18.3354	+	20.7876i	−0.955800	+	1.08363i
$369$			15.3653i			0.799885i
$370$	27.3093	−	0.562434i	1.41974	−	0.0292396i
$371$			11.9014i			0.617891i
$372$	−6.84466	−	6.42908i	−0.354879	−	0.333332i
$373$	−13.6778	−	13.6778i	−0.708208	−	0.708208i	0.257950	−	0.966158i	$-0.416953\pi$
$373$	−13.6778	−	13.6778i	−0.708208	−	0.708208i	−0.966158	+	0.257950i	$0.916953\pi$
$374$	−9.62449	+	9.93053i	−0.497671	+	0.513496i
$375$	−12.6262	+	0.187245i	−0.652014	+	0.00966929i
$376$	14.7631	−	16.2187i	0.761349	−	0.836415i
$377$	4.88568	−	4.88568i	0.251625	−	0.251625i
$378$	−13.9383	+	0.218140i	−0.716908	+	0.0112199i
$379$	27.2977			1.40219			0.701093	−	0.713070i	$-0.252696\pi$
$379$	27.2977			1.40219			0.701093	+	0.713070i	$0.252696\pi$
$380$	−8.24609	+	8.86654i	−0.423015	+	0.454844i
$381$	11.6645			0.597591
$382$	−32.9451	+	0.515604i	−1.68562	+	0.0263806i
$383$	10.7069	−	10.7069i	0.547095	−	0.547095i	−0.378505	−	0.925599i	$-0.623562\pi$
$383$	10.7069	−	10.7069i	0.547095	−	0.547095i	0.925599	+	0.378505i	$0.123562\pi$
$384$	9.96921	+	7.99359i	0.508739	+	0.407921i
$385$	−0.0719032	−	14.5465i	−0.00366453	−	0.741361i
$386$	−3.72277	+	3.84115i	−0.189484	+	0.195509i
$387$	−13.0806	−	13.0806i	−0.664926	−	0.664926i
$388$	−10.1154	+	10.7693i	−0.513533	+	0.546728i
$389$			1.85990i			0.0943006i	0.998888	+	0.0471503i	$0.0150140\pi$
$389$			1.85990i			0.0943006i	−0.998888	+	0.0471503i	$0.984986\pi$
$390$	−2.57698	−	2.47298i	−0.130491	−	0.125224i
$391$		−	19.2420i		−	0.973110i
$392$	−10.1356	+	0.476191i	−0.511927	+	0.0240513i
$393$	3.67388	+	3.67388i	0.185323	+	0.185323i
$394$	−18.2567	−	17.6941i	−0.919759	−	0.891414i
$395$	−1.20650	+	1.21848i	−0.0607055	+	0.0613086i
$396$	−12.1390	+	0.380054i	−0.610009	+	0.0190985i
$397$	1.54829	−	1.54829i	0.0777066	−	0.0777066i	−0.667185	−	0.744892i	$-0.732501\pi$
$397$	1.54829	−	1.54829i	0.0777066	−	0.0777066i	0.744892	+	0.667185i	$0.232501\pi$
$398$	−0.169337	−	10.8199i	−0.00848807	−	0.542355i
$399$	−5.64907			−0.282807
$400$	−1.44838	−	19.9475i	−0.0724189	−	0.997374i
$401$	−25.1569			−1.25628			−0.628139	−	0.778101i	$-0.716183\pi$
$401$	−25.1569			−1.25628			−0.628139	+	0.778101i	$0.716183\pi$
$402$	−0.0317612	−	2.02941i	−0.00158410	−	0.101218i
$403$	−2.93955	+	2.93955i	−0.146430	+	0.146430i
$404$	−6.84023	+	0.214157i	−0.340314	+	0.0106547i
$405$	−1.34288	+	1.35622i	−0.0667281	+	0.0673911i
$406$	12.9620	+	12.5625i	0.643292	+	0.623467i
$407$	21.5094	+	21.5094i	1.06618	+	1.06618i
$408$	−8.86079	+	0.416297i	−0.438675	+	0.0206098i
$409$			17.0509i			0.843112i	0.906802	+	0.421556i	$0.138516\pi$
$409$			17.0509i			0.843112i	−0.906802	+	0.421556i	$0.861484\pi$
$410$	−20.3311	−	19.5105i	−1.00408	−	0.963557i
$411$			18.9887i			0.936644i
$412$	−17.6546	+	18.7958i	−0.869782	+	0.926005i
$413$	−2.98980	−	2.98980i	−0.147118	−	0.147118i
$414$	11.7607	−	12.1346i	0.578005	−	0.596384i
$415$	0.0113747	+	2.30118i	0.000558361	+	0.112961i
$416$	3.67510	−	4.30042i	0.180187	−	0.210846i
$417$	8.09318	−	8.09318i	0.396325	−	0.396325i
$418$	−13.4826	+	0.211008i	−0.659456	+	0.0103208i
$419$	−33.8791			−1.65510			−0.827551	−	0.561391i	$-0.810266\pi$
$419$	−33.8791			−1.65510			−0.827551	+	0.561391i	$0.810266\pi$
$420$	6.35450	−	6.83262i	0.310068	−	0.333398i
$421$	−25.0338			−1.22007			−0.610036	−	0.792374i	$-0.708845\pi$
$421$	−25.0338			−1.22007			−0.610036	+	0.792374i	$0.708845\pi$
$422$	−0.985374	+	0.0154215i	−0.0479672	+	0.000750707i
$423$	−9.45446	+	9.45446i	−0.459692	+	0.459692i
$424$	−12.2662	+	13.4756i	−0.595701	+	0.654434i
$425$	9.91397	+	9.71987i	0.480898	+	0.471483i
$426$	15.8938	−	16.3992i	0.770059	−	0.794546i
$427$	10.1464	+	10.1464i	0.491021	+	0.491021i
$428$	1.82449	+	1.71371i	0.0881898	+	0.0828353i
$429$		−	3.97745i		−	0.192033i
$430$	33.9176	−	0.698532i	1.63565	−	0.0336862i
$431$		−	15.0689i		−	0.725844i	−0.931820	−	0.362922i	$-0.881779\pi$
$431$		−	15.0689i		−	0.725844i	0.931820	−	0.362922i	$-0.118221\pi$
$432$	−16.0067	−	14.1185i	−0.770125	−	0.679278i
$433$	−5.58575	−	5.58575i	−0.268434	−	0.268434i	0.560035	−	0.828469i	$-0.310788\pi$
$433$	−5.58575	−	5.58575i	−0.268434	−	0.268434i	−0.828469	+	0.560035i	$0.810788\pi$
$434$	−7.79879	−	7.55845i	−0.374354	−	0.362817i
$435$	17.4496	−	0.0862528i	0.836643	−	0.00413551i
$436$	0.0720016	+	2.29975i	0.00344825	+	0.110138i
$437$	13.2668	−	13.2668i	0.634637	−	0.634637i
$438$	−0.135789	−	8.67637i	−0.00648823	−	0.414573i
$439$	29.6737			1.41625			0.708124	−	0.706088i	$-0.249542\pi$
$439$	29.6737			1.41625			0.708124	+	0.706088i	$0.249542\pi$
$440$	14.9110	−	16.5447i	0.710855	−	0.788739i
$441$	6.18602			0.294572
$442$	0.0614510	+	3.92648i	0.00292293	+	0.186764i
$443$	1.89262	−	1.89262i	0.0899213	−	0.0899213i	−0.660715	−	0.750637i	$-0.729747\pi$
$443$	1.89262	−	1.89262i	0.0899213	−	0.0899213i	0.750637	+	0.660715i	$0.229747\pi$
$444$	0.610586	+	19.5022i	0.0289771	+	0.925536i
$445$	0.702985	+	0.696070i	0.0333247	+	0.0329969i
$446$	−11.6496	−	11.2906i	−0.551623	−	0.534623i
$447$	10.5191	+	10.5191i	0.497538	+	0.497538i
$448$	11.3837	+	9.42418i	0.537829	+	0.445251i
$449$			12.5398i			0.591791i	0.955220	+	0.295895i	$0.0956180\pi$
$449$			12.5398i			0.591791i	−0.955220	+	0.295895i	$0.904382\pi$
$450$	0.311315	+	12.1891i	0.0146755	+	0.574597i
$451$		−	31.3801i		−	1.47763i
$452$	−4.49166	−	4.21894i	−0.211270	−	0.198442i
$453$	−15.7001	−	15.7001i	−0.737655	−	0.737655i
$454$	−22.7482	+	23.4715i	−1.06763	+	1.10157i
$455$	−2.93526	−	2.90638i	−0.137607	−	0.136253i
$456$	−6.39628	−	5.82223i	−0.299533	−	0.272651i
$457$	12.2710	−	12.2710i	0.574015	−	0.574015i	−0.359233	−	0.933248i	$-0.616962\pi$
$457$	12.2710	−	12.2710i	0.574015	−	0.574015i	0.933248	+	0.359233i	$0.116962\pi$
$458$	32.5651	−	0.509657i	1.52167	−	0.0238147i
$459$	14.8166			0.691580
$460$	1.12287	+	30.9698i	0.0523543	+	1.44398i
$461$	6.10051			0.284129			0.142065	−	0.989857i	$-0.454626\pi$
$461$	6.10051			0.284129			0.142065	+	0.989857i	$0.454626\pi$
$462$	10.3898	−	0.162605i	0.483377	−	0.00756505i
$463$	23.1386	−	23.1386i	1.07534	−	1.07534i	0.0784197	−	0.996920i	$-0.475013\pi$
$463$	23.1386	−	23.1386i	1.07534	−	1.07534i	0.996920	−	0.0784197i	$-0.0249874\pi$
$464$	1.72889	+	27.5835i	0.0802616	+	1.28053i
$465$	−10.4988	+	0.0518955i	−0.486872	+	0.00240659i
$466$	−17.1343	+	17.6791i	−0.793731	+	0.818970i
$467$	12.2124	+	12.2124i	0.565122	+	0.565122i	0.930758	−	0.365636i	$-0.119149\pi$
$467$	12.2124	+	12.2124i	0.565122	+	0.565122i	−0.365636	+	0.930758i	$0.619149\pi$
$468$	−2.36110	+	2.51372i	−0.109142	+	0.116197i
$469$		−	2.34738i		−	0.108392i
$470$	−0.504887	−	24.5151i	−0.0232887	−	1.13080i
$471$		−	17.5294i		−	0.807710i
$472$	−0.303818	−	6.46670i	−0.0139844	−	0.297654i
$473$	26.7142	+	26.7142i	1.22832	+	1.22832i
$474$	−0.879569	−	0.852462i	−0.0403999	−	0.0391549i
$475$	0.133829	+	13.5369i	0.00614049	+	0.621118i
$476$	−10.2541	+	0.321041i	−0.469997	+	0.0147149i
$477$	7.85543	−	7.85543i	0.359676	−	0.359676i
$478$	−0.271561	−	17.3517i	−0.0124209	−	0.793646i
$479$	−21.9564			−1.00321			−0.501607	−	0.865096i	$-0.667258\pi$
$479$	−21.9564			−1.00321			−0.501607	+	0.865096i	$0.667258\pi$
$480$	14.2371	−	1.18710i	0.649830	−	0.0541835i
$481$	8.63779			0.393849
$482$	−0.556782	−	35.5762i	−0.0253607	−	1.62045i
$483$	−10.2235	+	10.2235i	−0.465185	+	0.465185i
$484$	2.80197	−	0.0877254i	0.127362	−	0.00398752i
$485$	0.0816515	+	16.5187i	0.00370760	+	0.750076i
$486$	15.2772	+	14.8064i	0.692989	+	0.671633i
$487$	19.5227	+	19.5227i	0.884659	+	0.884659i	0.994004	−	0.109345i	$-0.0348753\pi$
$487$	19.5227	+	19.5227i	0.884659	+	0.884659i	−0.109345	+	0.994004i	$0.534875\pi$
$488$	1.03106	+	21.9460i	0.0466741	+	0.993448i
$489$		−	6.78660i		−	0.306901i
$490$	−7.85489	+	8.18523i	−0.354848	+	0.369771i
$491$		−	5.37843i		−	0.242725i	−0.992608	−	0.121363i	$-0.961274\pi$
$491$		−	5.37843i		−	0.242725i	0.992608	−	0.121363i	$-0.0387264\pi$
$492$	13.7806	−	14.6713i	0.621276	−	0.661435i
$493$	−13.5665	−	13.5665i	−0.611003	−	0.611003i
$494$	−2.66482	+	2.74956i	−0.119896	+	0.123708i
$495$	−9.55387	+	9.64879i	−0.429414	+	0.433681i
$496$	−1.04021	−	16.5961i	−0.0467070	−	0.745185i
$497$	18.6764	−	18.6764i	0.837750	−	0.837750i
$498$	−1.64361	+	0.0257231i	−0.0736518	+	0.00115268i
$499$	25.0685			1.12222			0.561111	−	0.827740i	$-0.310374\pi$
$499$	25.0685			1.12222			0.561111	+	0.827740i	$0.310374\pi$
$500$	−16.5236	−	15.0655i	−0.738960	−	0.673749i
$501$	20.4694			0.914505
$502$	−30.0241	+	0.469889i	−1.34004	+	0.0209722i
$503$	16.4098	−	16.4098i	0.731676	−	0.731676i	−0.239276	−	0.970952i	$-0.576910\pi$
$503$	16.4098	−	16.4098i	0.731676	−	0.731676i	0.970952	+	0.239276i	$0.0769099\pi$
$504$	−6.66280	−	6.06483i	−0.296785	−	0.270149i
$505$	−5.38351	+	5.43700i	−0.239563	+	0.241943i
$506$	−24.0185	+	24.7822i	−1.06775	+	1.10170i
$507$	−0.798638	−	0.798638i	−0.0354688	−	0.0354688i
$508$	15.0554	+	14.1413i	0.667976	+	0.627419i
$509$			14.9919i			0.664503i	0.943191	+	0.332252i	$0.107808\pi$
$509$			14.9919i			0.664503i	−0.943191	+	0.332252i	$0.892192\pi$
$510$	−6.86692	+	7.15571i	−0.304072	+	0.316860i
$511$		−	10.0358i		−	0.443957i
$512$	3.17637	+	22.4034i	0.140377	+	0.990098i
$513$	10.2156	+	10.2156i	0.451030	+	0.451030i
$514$	−1.56562	−	1.51737i	−0.0690564	−	0.0669282i
$515$	0.142508	+	28.8304i	0.00627965	+	1.27042i
$516$	0.758335	+	24.2214i	0.0333839	+	1.06629i
$517$	19.3086	−	19.3086i	0.849190	−	0.849190i
$518$	0.353126	+	22.5634i	0.0155155	+	0.991378i
$519$	−5.71814			−0.250999
$520$	−0.328036	−	6.31604i	−0.0143853	−	0.276977i
$521$	13.2279			0.579524			0.289762	−	0.957099i	$-0.406424\pi$
$521$	13.2279			0.579524			0.289762	+	0.957099i	$0.406424\pi$
$522$	−0.263666	−	16.8472i	−0.0115404	−	0.737383i
$523$	13.5227	−	13.5227i	0.591304	−	0.591304i	−0.346679	−	0.937984i	$-0.612691\pi$
$523$	13.5227	−	13.5227i	0.591304	−	0.591304i	0.937984	+	0.346679i	$0.112691\pi$
$524$	0.287909	+	9.19586i	0.0125773	+	0.401723i
$525$	−0.103130	−	10.4317i	−0.00450094	−	0.455276i
$526$	−18.0664	−	17.5096i	−0.787733	−	0.763456i
$527$	8.16249	+	8.16249i	0.355564	+	0.355564i
$528$	11.9317	+	10.5242i	0.519259	+	0.458005i
$529$		−	25.0195i		−	1.08781i
$530$	0.419496	+	20.3689i	0.0182217	+	0.884767i
$531$			3.94678i			0.171276i
$532$	−7.29126	−	6.84857i	−0.316116	−	0.296923i
$533$	−6.30085	−	6.30085i	−0.272920	−	0.272920i
$534$	−0.491815	+	0.507454i	−0.0212829	+	0.0219597i
$535$	2.79853	−	0.0138330i	0.120991	−	0.000598055i
$536$	2.41934	−	2.65787i	0.104499	−	0.114803i
$537$	2.10076	−	2.10076i	0.0906546	−	0.0906546i
$538$	−27.9532	+	0.437479i	−1.20515	+	0.0188610i
$539$	−12.6335			−0.544165
$540$	−23.8472	+	0.864629i	−1.02622	+	0.0372077i
$541$	18.3005			0.786799			0.393400	−	0.919368i	$-0.371299\pi$
$541$	18.3005			0.786799			0.393400	+	0.919368i	$0.371299\pi$
$542$	30.0977	−	0.471041i	1.29281	−	0.0202330i
$543$	−14.7623	+	14.7623i	−0.633509	+	0.633509i
$544$	−11.9413	−	10.2049i	−0.511980	−	0.437533i
$545$	1.82797	+	1.80999i	0.0783016	+	0.0775313i
$546$	2.05353	−	2.11883i	0.0878830	−	0.0906776i
$547$	23.1342	+	23.1342i	0.989147	+	0.989147i	0.999942	−	0.0107946i	$-0.00343608\pi$
$547$	23.1342	+	23.1342i	0.989147	+	0.989147i	−0.0107946	+	0.999942i	$0.503436\pi$
$548$	−23.0207	+	24.5087i	−0.983394	+	1.04696i
$549$		−	13.3941i		−	0.571648i
$550$	−0.635790	−	24.8934i	−0.0271102	−	1.06146i
$551$		−	18.7073i		−	0.796960i
$552$	−22.1126	+	1.03889i	−0.941176	+	0.0442182i
$553$	−1.00170	−	1.00170i	−0.0425967	−	0.0425967i
$554$	−18.6844	−	18.1085i	−0.793822	−	0.769358i
$555$	15.5015	+	15.3490i	0.658002	+	0.651529i
$556$	20.2575	−	0.634233i	0.859111	−	0.0268975i
$557$	−12.7940	+	12.7940i	−0.542100	+	0.542100i	−0.924144	−	0.382044i	$-0.875220\pi$
$557$	−12.7940	+	12.7940i	−0.542100	+	0.542100i	0.382044	+	0.924144i	$0.375220\pi$
$558$	0.158639	+	10.1364i	0.00671573	+	0.429109i
$559$	10.7280			0.453744
$560$	16.4852	−	1.11510i	0.696626	−	0.0471214i
$561$	−11.0445			−0.466300
$562$	0.275183	+	17.5831i	0.0116079	+	0.741699i
$563$	25.0765	−	25.0765i	1.05685	−	1.05685i	0.0585642	−	0.998284i	$-0.481348\pi$
$563$	25.0765	−	25.0765i	1.05685	−	1.05685i	0.998284	−	0.0585642i	$-0.0186522\pi$
$564$	17.5068	−	0.548112i	0.737171	−	0.0230797i
$565$	−6.88962	+	0.0340552i	−0.289849	+	0.00143271i
$566$	19.0605	+	18.4731i	0.801174	+	0.776483i
$567$	−1.11493	−	1.11493i	−0.0468228	−	0.0468228i
$568$	40.3956	−	1.89786i	1.69496	−	0.0796325i
$569$			3.78598i			0.158716i	0.996846	+	0.0793582i	$0.0252871\pi$
$569$			3.78598i			0.158716i	−0.996846	+	0.0793582i	$0.974713\pi$
$570$	−9.66818	+	0.199116i	−0.404956	+	0.00834005i
$571$			25.5130i			1.06769i	0.845583	+	0.533843i	$0.179253\pi$
$571$			25.5130i			1.06769i	−0.845583	+	0.533843i	$0.820747\pi$
$572$	4.82201	−	5.13371i	0.201618	−	0.214651i
$573$	−18.6071	−	18.6071i	−0.777324	−	0.777324i
$574$	16.2013	−	16.7165i	0.676230	−	0.697733i
$575$	24.7409	+	24.2565i	1.03177	+	1.01157i
$576$	−1.29336	−	13.7341i	−0.0538900	−	0.572253i
$577$	4.42706	−	4.42706i	0.184301	−	0.184301i	−0.608926	−	0.793227i	$-0.708399\pi$
$577$	4.42706	−	4.42706i	0.184301	−	0.184301i	0.793227	+	0.608926i	$0.208399\pi$
$578$	−13.1357	+	0.205579i	−0.546374	+	0.00855098i
$579$	−4.27204			−0.177540
$580$	22.6268	+	21.0434i	0.939525	+	0.873780i
$581$	−1.90113			−0.0788721
$582$	−11.7984	+	0.184650i	−0.489059	+	0.00765398i
$583$	−16.0429	+	16.0429i	−0.664430	+	0.664430i
$584$	10.3434	−	11.3632i	0.428013	−	0.470213i
$585$	0.0190588	+	3.85573i	0.000787983	+	0.159415i
$586$	9.66769	−	9.97511i	0.399369	−	0.412068i
$587$	23.6571	+	23.6571i	0.976431	+	0.976431i	0.999729	−	0.0232972i	$-0.00741642\pi$
$587$	23.6571	+	23.6571i	0.976431	+	0.976431i	−0.0232972	+	0.999729i	$0.507416\pi$
$588$	−5.90664	−	5.54801i	−0.243586	−	0.228796i
$589$			11.2556i			0.463778i
$590$	−5.22232	−	5.01155i	−0.214999	−	0.206322i
$591$		−	20.3047i		−	0.835223i
$592$	−22.8552	+	25.9118i	−0.939342	+	1.06497i
$593$	−9.21789	−	9.21789i	−0.378534	−	0.378534i	0.492039	−	0.870573i	$-0.336252\pi$
$593$	−9.21789	−	9.21789i	−0.378534	−	0.378534i	−0.870573	+	0.492039i	$0.836252\pi$
$594$	−19.0826	−	18.4946i	−0.782971	−	0.758841i
$595$	−8.07038	+	8.15056i	−0.330853	+	0.334141i
$596$	0.824345	+	26.3298i	0.0337665	+	1.07851i
$597$	6.11101	−	6.11101i	0.250107	−	0.250107i
$598$	0.153354	+	9.79875i	0.00627113	+	0.400701i
$599$	2.77755			0.113488			0.0567438	−	0.998389i	$-0.481928\pi$
$599$	2.77755			0.113488			0.0567438	+	0.998389i	$0.481928\pi$
$600$	10.6347	−	11.9178i	0.434158	−	0.486541i
$601$	−40.0680			−1.63441			−0.817205	−	0.576348i	$-0.804477\pi$
$601$	−40.0680			−1.63441			−0.817205	+	0.576348i	$0.804477\pi$
$602$	0.438576	+	28.0233i	0.0178750	+	1.14214i
$603$	−1.54937	+	1.54937i	−0.0630953	+	0.0630953i
$604$	−1.23036	−	39.2979i	−0.0500626	−	1.59901i
$605$	2.20525	−	2.22716i	0.0896563	−	0.0905471i
$606$	−3.92473	−	3.80377i	−0.159431	−	0.154518i
$607$	−15.4132	−	15.4132i	−0.625602	−	0.625602i	0.321356	−	0.946958i	$-0.395861\pi$
$607$	−15.4132	−	15.4132i	−0.625602	−	0.625602i	−0.946958	+	0.321356i	$0.895861\pi$
$608$	−1.19719	−	15.2692i	−0.0485526	−	0.619248i
$609$			14.4160i			0.584167i
$610$	17.7229	+	17.0076i	0.717580	+	0.688619i
$611$		−	7.75399i		−	0.313693i
$612$	6.98005	+	6.55625i	0.282152	+	0.265021i
$613$	24.1149	+	24.1149i	0.973991	+	0.973991i	0.999670	−	0.0256796i	$-0.00817496\pi$
$613$	24.1149	+	24.1149i	0.973991	+	0.973991i	−0.0256796	+	0.999670i	$0.508175\pi$
$614$	5.59647	−	5.77443i	0.225855	−	0.233037i
$615$	−0.111236	−	22.5040i	−0.00448549	−	0.907447i
$616$	13.6073	+	12.3860i	0.548252	+	0.499048i
$617$	−9.31246	+	9.31246i	−0.374905	+	0.374905i	−0.869260	−	0.494355i	$-0.835404\pi$
$617$	−9.31246	+	9.31246i	−0.374905	+	0.374905i	0.494355	+	0.869260i	$0.335404\pi$
$618$	−20.5920	+	0.322273i	−0.828331	+	0.0129637i
$619$	−20.6325			−0.829290			−0.414645	−	0.909983i	$-0.636094\pi$
$619$	−20.6325			−0.829290			−0.414645	+	0.909983i	$0.636094\pi$
$620$	−13.6138	−	12.6611i	−0.546742	−	0.508483i
$621$	36.9757			1.48378
$622$	−36.0122	+	0.563605i	−1.44396	+	0.0225985i
$623$	−0.577917	+	0.577917i	−0.0231537	+	0.0231537i
$624$	4.50893	−	0.282613i	0.180502	−	0.0113136i
$625$	−24.9951	+	0.494261i	−0.999805	+	0.0197705i
$626$	−11.9894	+	12.3706i	−0.479192	+	0.494429i
$627$	−7.61486	−	7.61486i	−0.304108	−	0.304108i
$628$	21.2515	−	22.6252i	0.848025	−	0.902842i
$629$		−	23.9852i		−	0.956354i
$630$	−10.0710	+	0.207413i	−0.401240	+	0.00826353i
$631$			0.761372i			0.0303098i	0.999885	+	0.0151549i	$0.00482413\pi$
$631$			0.761372i			0.0303098i	−0.999885	+	0.0151549i	$0.995176\pi$
$632$	−0.101791	−	2.16661i	−0.00404904	−	0.0861830i
$633$	−0.556531	−	0.556531i	−0.0221201	−	0.0221201i
$634$	18.7368	+	18.1594i	0.744133	+	0.721200i
$635$	23.0931	−	0.114148i	0.916420	−	0.00452984i
$636$	−14.5459	+	0.455410i	−0.576783	+	0.0180582i
$637$	−2.53670	+	2.53670i	−0.100508	+	0.100508i
$638$	0.538478	+	34.4066i	0.0213185	+	1.36217i
$639$	−24.6544			−0.975313
$640$	19.8150	+	15.7279i	0.783255	+	0.621700i
$641$	−46.1859			−1.82423			−0.912117	−	0.409930i	$-0.865553\pi$
$641$	−46.1859			−1.82423			−0.912117	+	0.409930i	$0.865553\pi$
$642$	0.0312825	+	1.99883i	0.00123462	+	0.0788876i
$643$	−24.2799	+	24.2799i	−0.957507	+	0.957507i	−0.999133	−	0.0416264i	$-0.986746\pi$
$643$	−24.2799	+	24.2799i	−0.957507	+	0.957507i	0.0416264	+	0.999133i	$0.486746\pi$
$644$	−25.5898	+	0.801177i	−1.00838	+	0.0315708i
$645$	19.2525	+	19.0632i	0.758068	+	0.750611i
$646$	7.63492	+	7.39962i	0.300392	+	0.291134i
$647$	−0.561905	−	0.561905i	−0.0220907	−	0.0220907i	0.695975	−	0.718066i	$-0.254972\pi$
$647$	−0.561905	−	0.561905i	−0.0220907	−	0.0220907i	−0.718066	+	0.695975i	$0.754972\pi$
$648$	−0.113298	−	2.41152i	−0.00445075	−	0.0947333i
$649$		−	8.06040i		−	0.316399i
$650$	−5.12603	−	4.87071i	−0.201059	−	0.191045i
$651$		−	8.67364i		−	0.339947i
$652$	8.22764	−	8.75948i	0.322219	−	0.343048i
$653$	9.91131	+	9.91131i	0.387860	+	0.387860i	0.873923	−	0.486064i	$-0.161568\pi$
$653$	9.91131	+	9.91131i	0.387860	+	0.387860i	−0.486064	+	0.873923i	$0.661568\pi$
$654$	−1.27886	+	1.31953i	−0.0500075	+	0.0515977i
$655$	7.30940	+	7.23749i	0.285602	+	0.282792i
$656$	35.5732	−	2.22967i	1.38890	−	0.0870540i
$657$	−6.62403	+	6.62403i	−0.258428	+	0.258428i
$658$	20.2548	−	0.316995i	0.789613	−	0.0123578i
$659$	−30.2716			−1.17922			−0.589608	−	0.807690i	$-0.700718\pi$
$659$	−30.2716			−1.17922			−0.589608	+	0.807690i	$0.700718\pi$
$660$	17.7760	−	0.644507i	0.691931	−	0.0250874i
$661$	1.99460			0.0775808			0.0387904	−	0.999247i	$-0.487650\pi$
$661$	1.99460			0.0775808			0.0387904	+	0.999247i	$0.487650\pi$
$662$	31.8475	−	0.498426i	1.23779	−	0.0193719i
$663$	−2.21764	+	2.21764i	−0.0861261	+	0.0861261i
$664$	−2.15259	−	1.95940i	−0.0835367	−	0.0760395i
$665$	−11.1839	+	0.0552815i	−0.433691	+	0.00214373i
$666$	14.6597	−	15.1259i	0.568052	−	0.586115i
$667$	−33.8559	−	33.8559i	−1.31091	−	1.31091i
$668$	26.4199	+	24.8158i	1.02222	+	0.960150i
$669$		−	12.9564i		−	0.500923i
$670$	−0.0827396	−	4.01746i	−0.00319651	−	0.155208i
$671$			27.3545i			1.05601i
$672$	0.922565	+	11.7666i	0.0355887	+	0.453905i
$673$	−4.18463	−	4.18463i	−0.161306	−	0.161306i	0.621839	−	0.783145i	$-0.286386\pi$
$673$	−4.18463	−	4.18463i	−0.161306	−	0.161306i	−0.783145	+	0.621839i	$0.786386\pi$
$674$	26.6171	+	25.7968i	1.02525	+	0.993654i
$675$	−18.6778	+	19.0508i	−0.718910	+	0.733266i
$676$	−0.0625863	−	1.99902i	−0.00240717	−	0.0768854i
$677$	−21.7743	+	21.7743i	−0.836853	+	0.836853i	−0.988443	−	0.151590i	$-0.951561\pi$
$677$	−21.7743	+	21.7743i	−0.836853	+	0.836853i	0.151590	+	0.988443i	$0.451561\pi$
$678$	−0.0770138	−	4.92088i	−0.00295770	−	0.188985i
$679$	−13.6470			−0.523723
$680$	−17.5383	+	0.910884i	−0.672562	+	0.0349308i
$681$	−26.1045			−1.00033
$682$	−0.323984	−	20.7013i	−0.0124060	−	0.792695i
$683$	−23.8214	+	23.8214i	−0.911500	+	0.911500i	−0.996390	−	0.0848900i	$-0.972946\pi$
$683$	−23.8214	+	23.8214i	−0.911500	+	0.911500i	0.0848900	+	0.996390i	$0.472946\pi$
$684$	0.292198	+	9.33288i	0.0111725	+	0.356852i
$685$	0.185823	+	37.5933i	0.00709991	+	1.43636i
$686$	−19.8620	−	19.2498i	−0.758333	−	0.734963i
$687$	18.3925	+	18.3925i	0.701717	+	0.701717i
$688$	−28.3857	+	32.1820i	−1.08219	+	1.22693i
$689$			6.44256i			0.245442i
$690$	−17.1368	+	17.8575i	−0.652386	+	0.679823i
$691$		−	22.6733i		−	0.862534i	−0.902224	−	0.431267i	$-0.858067\pi$
$691$		−	22.6733i		−	0.862534i	0.902224	−	0.431267i	$-0.141933\pi$
$692$	−7.38042	−	6.93231i	−0.280561	−	0.263527i
$693$	−7.93216	−	7.93216i	−0.301318	−	0.301318i
$694$	26.4567	−	27.2980i	1.00428	−	1.03622i
$695$	15.9434	−	16.1018i	0.604769	−	0.610777i
$696$	−14.8579	+	16.3228i	−0.563188	+	0.618716i
$697$	−17.4961	+	17.4961i	−0.662711	+	0.662711i
$698$	10.6953	−	0.167387i	0.404825	−	0.00633567i
$699$	−19.6623			−0.743698
$700$	12.5136	−	13.5892i	0.472969	−	0.513624i
$701$	−4.26882			−0.161231			−0.0806155	−	0.996745i	$-0.525689\pi$
$701$	−4.26882			−0.161231			−0.0806155	+	0.996745i	$0.525689\pi$
$702$	−7.54518	+	0.118085i	−0.284774	+	0.00445683i
$703$	16.5371	−	16.5371i	0.623708	−	0.623708i
$704$	2.64139	+	28.0487i	0.0995513	+	1.05713i
$705$	13.7785	−	13.9154i	0.518930	−	0.524085i
$706$	29.9494	−	30.9017i	1.12716	−	1.16300i
$707$	−4.46970	−	4.46970i	−0.168100	−	0.168100i
$708$	3.53973	−	3.76854i	0.133031	−	0.141630i
$709$		−	25.6567i		−	0.963558i	−0.876293	−	0.481779i	$-0.839991\pi$
$709$		−	25.6567i		−	0.963558i	0.876293	−	0.481779i	$-0.160009\pi$
$710$	31.3057	−	32.6223i	1.17488	−	1.22429i
$711$			1.32233i			0.0495913i
$712$	−1.24999	+	0.0587269i	−0.0468453	+	0.00220088i
$713$	20.3700	+	20.3700i	0.762861	+	0.762861i
$714$	−5.88353	−	5.70220i	−0.220185	−	0.213400i
$715$	−0.0389232	−	7.87444i	−0.00145564	−	0.294487i
$716$	5.25829	−	0.164629i	0.196511	−	0.00615248i
$717$	9.80007	−	9.80007i	0.365990	−	0.365990i
$718$	−0.561137	−	35.8544i	−0.0209414	−	1.33808i
$719$	44.8441			1.67240			0.836201	−	0.548422i	$-0.184771\pi$
$719$	44.8441			1.67240			0.836201	+	0.548422i	$0.184771\pi$
$720$	−11.6169	−	10.1449i	−0.432937	−	0.378078i
$721$	−23.8183			−0.887041
$722$	−0.258246	−	16.5009i	−0.00961091	−	0.614100i
$723$	20.0931	−	20.0931i	0.747272	−	0.747272i
$724$	−36.9505	+	1.15686i	−1.37325	+	0.0429945i
$725$	34.5453	−	0.341522i	1.28298	−	0.0126838i
$726$	1.60769	+	1.55814i	0.0596669	+	0.0578281i
$727$	4.22306	+	4.22306i	0.156625	+	0.156625i	0.781069	−	0.624444i	$-0.214675\pi$
$727$	4.22306	+	4.22306i	0.156625	+	0.156625i	−0.624444	+	0.781069i	$0.714675\pi$
$728$	5.21923	−	0.245209i	0.193437	−	0.00908806i
$729$			19.5516i			0.724134i
$730$	−0.353737	−	17.1759i	−0.0130924	−	0.635708i
$731$		−	29.7892i		−	1.10179i
$732$	−12.0127	+	12.7892i	−0.444003	+	0.472704i
$733$	10.7917	+	10.7917i	0.398601	+	0.398601i	0.877739	−	0.479139i	$-0.159051\pi$
$733$	10.7917	+	10.7917i	0.398601	+	0.398601i	−0.479139	+	0.877739i	$0.659051\pi$
$734$	0.325584	−	0.335937i	0.0120175	−	0.0123997i
$735$	−9.06003	+	0.0447835i	−0.334184	+	0.00165186i
$736$	−29.8003	−	25.4670i	−1.09845	−	0.938726i
$737$	3.16424	−	3.16424i	0.116556	−	0.116556i
$738$	−21.7271	+	0.340038i	−0.799787	+	0.0125170i
$739$	−40.5731			−1.49250			−0.746252	−	0.665663i	$-0.768149\pi$
$739$	−40.5731			−1.49250			−0.746252	+	0.665663i	$0.768149\pi$
$740$	1.39967	+	38.6040i	0.0514528	+	1.41911i
$741$	−3.05800			−0.112338
$742$	−16.8291	+	0.263382i	−0.617815	+	0.00966906i
$743$	2.78875	−	2.78875i	0.102309	−	0.102309i	−0.654099	−	0.756409i	$-0.726952\pi$
$743$	2.78875	−	2.78875i	0.102309	−	0.102309i	0.756409	+	0.654099i	$0.226952\pi$
$744$	8.93951	−	9.82091i	0.327738	−	0.360052i
$745$	20.9284	+	20.7225i	0.766757	+	0.759214i
$746$	19.0382	−	19.6436i	0.697039	−	0.719203i
$747$	1.25482	+	1.25482i	0.0459116	+	0.0459116i
$748$	−14.2552	−	13.3897i	−0.521221	−	0.489574i
$749$			2.31201i			0.0844790i
$750$	−0.544194	−	17.8498i	−0.0198711	−	0.651782i
$751$			17.6843i			0.645308i	0.946517	+	0.322654i	$0.104575\pi$
$751$			17.6843i			0.645308i	−0.946517	+	0.322654i	$0.895425\pi$
$752$	23.2606	+	20.5167i	0.848226	+	0.748167i
$753$	−16.9573	−	16.9573i	−0.617960	−	0.617960i
$754$	7.01667	+	6.80043i	0.255532	+	0.247657i
$755$	−31.2362	−	30.9290i	−1.13680	−	1.12562i
$756$	−0.616917	−	19.7045i	−0.0224371	−	0.716645i
$757$	21.2020	−	21.2020i	0.770600	−	0.770600i	−0.207611	−	0.978211i	$-0.566569\pi$
$757$	21.2020	−	21.2020i	0.770600	−	0.770600i	0.978211	+	0.207611i	$0.0665689\pi$
$758$	0.604106	+	38.6000i	0.0219421	+	1.40201i
$759$	−27.5622			−1.00044
$760$	−12.7201	−	11.4641i	−0.461408	−	0.415846i
$761$	−10.5601			−0.382804			−0.191402	−	0.981512i	$-0.561303\pi$
$761$	−10.5601			−0.382804			−0.191402	+	0.981512i	$0.561303\pi$
$762$	0.258139	+	16.4941i	0.00935141	+	0.597518i
$763$	−1.50275	+	1.50275i	−0.0544033	+	0.0544033i
$764$	−1.45817	−	46.5743i	−0.0527548	−	1.68500i
$765$	10.7065	−	0.0529220i	0.387094	−	0.00191340i
$766$	15.3769	+	14.9030i	0.555589	+	0.538466i
$767$	−1.61846	−	1.61846i	−0.0584392	−	0.0584392i
$768$	−11.0826	+	14.2738i	−0.399910	+	0.515060i
$769$		−	1.08776i		−	0.0392255i	−0.999808	−	0.0196128i	$-0.993757\pi$
$769$		−	1.08776i		−	0.0392255i	0.999808	−	0.0196128i	$-0.00624333\pi$
$770$	20.5678	−	0.423594i	0.741213	−	0.0152653i
$771$		−	1.74124i		−	0.0627094i
$772$	−5.51393	−	5.17914i	−0.198451	−	0.186401i
$773$	−19.0543	−	19.0543i	−0.685334	−	0.685334i	0.275863	−	0.961197i	$-0.411036\pi$
$773$	−19.0543	−	19.0543i	−0.685334	−	0.685334i	−0.961197	+	0.275863i	$0.911036\pi$
$774$	18.2071	−	18.7860i	0.654439	−	0.675249i
$775$	−20.7848	+	0.205482i	−0.746611	+	0.00738114i
$776$	−15.4521	−	14.0653i	−0.554697	−	0.504914i
$777$	−12.7436	+	12.7436i	−0.457175	+	0.457175i
$778$	−2.62997	+	0.0411601i	−0.0942891	+	0.00147566i
$779$	−24.1260			−0.864405
$780$	3.43986	−	3.69868i	0.123167	−	0.132434i
$781$	50.3510			1.80170
$782$	27.2090	−	0.425832i	0.972991	−	0.0152277i
$783$	26.0695	−	26.0695i	0.931648	−	0.931648i
$784$	−0.897659	−	14.3217i	−0.0320592	−	0.511488i
$785$	−0.171541	−	34.7041i	−0.00612258	−	1.23864i
$786$	−5.11372	+	5.27632i	−0.182400	+	0.188200i
$787$	25.0958	+	25.0958i	0.894567	+	0.894567i	0.994949	−	0.100382i	$-0.0320065\pi$
$787$	25.0958	+	25.0958i	0.894567	+	0.894567i	−0.100382	+	0.994949i	$0.532006\pi$
$788$	24.6161	−	26.2073i	0.876912	−	0.933596i
$789$		−	20.0930i		−	0.715331i
$790$	−1.74969	−	1.67907i	−0.0622510	−	0.0597387i
$791$		−	5.69188i		−	0.202380i
$792$	−0.806053	−	17.1567i	−0.0286418	−	0.609635i
$793$	5.49255	+	5.49255i	0.195046	+	0.195046i
$794$	2.22361	+	2.15509i	0.0789131	+	0.0764811i
$795$	−11.4482	+	11.5619i	−0.406025	+	0.410059i
$796$	15.2961	−	0.478897i	0.542155	−	0.0169741i
$797$	11.3874	−	11.3874i	0.403363	−	0.403363i	−0.476053	−	0.879416i	$-0.657933\pi$
$797$	11.3874	−	11.3874i	0.403363	−	0.403363i	0.879416	+	0.476053i	$0.157933\pi$
$798$	−0.125016	−	7.98802i	−0.00442551	−	0.282773i
$799$	−21.5311			−0.761716
$800$	28.1745	−	2.48951i	0.996119	−	0.0880175i
$801$	0.762898			0.0269557
$802$	−0.556731	−	35.5729i	−0.0196588	−	1.25612i
$803$	13.5281	−	13.5281i	0.477395	−	0.477395i
$804$	2.86897	−	0.0898232i	0.101181	−	0.00316782i
$805$	−20.1401	+	20.3402i	−0.709845	+	0.716898i
$806$	−4.22170	−	4.09159i	−0.148703	−	0.144120i
$807$	−15.7877	−	15.7877i	−0.555754	−	0.555754i
$808$	−0.454203	−	9.66762i	−0.0159788	−	0.340106i
$809$			52.3022i			1.83885i	0.393268	+	0.919424i	$0.371345\pi$
$809$			52.3022i			1.83885i	−0.393268	+	0.919424i	$0.628655\pi$
$810$	−1.94747	−	1.86887i	−0.0684270	−	0.0656654i
$811$		−	20.4717i		−	0.718859i	−0.933172	−	0.359430i	$-0.882971\pi$
$811$		−	20.4717i		−	0.718859i	0.933172	−	0.359430i	$-0.117029\pi$
$812$	−17.4771	+	18.6068i	−0.613324	+	0.652970i
$813$	16.9989	+	16.9989i	0.596178	+	0.596178i
$814$	−29.9391	+	30.8911i	−1.04936	+	1.08273i
$815$	−0.0664134	−	13.4359i	−0.00232636	−	0.470639i
$816$	−0.784753	−	12.5203i	−0.0274719	−	0.438298i
$817$	20.5387	−	20.5387i	0.718560	−	0.718560i
$818$	−24.1106	+	0.377341i	−0.843009	+	0.0131934i
$819$	−3.18542			−0.111308
$820$	27.1388	−	29.1807i	0.947727	−	1.01904i
$821$	3.26359			0.113900			0.0569500	−	0.998377i	$-0.481862\pi$
$821$	3.26359			0.113900			0.0569500	+	0.998377i	$0.481862\pi$
$822$	−26.8508	+	0.420226i	−0.936529	+	0.0146571i
$823$	−34.5355	+	34.5355i	−1.20383	+	1.20383i	−0.230838	+	0.972992i	$0.574147\pi$
$823$	−34.5355	+	34.5355i	−1.20383	+	1.20383i	−0.972992	+	0.230838i	$0.925853\pi$
$824$	−26.9688	−	24.5484i	−0.939502	−	0.855185i
$825$	13.9227	−	14.2008i	0.484727	−	0.494407i
$826$	4.16153	−	4.29386i	0.144798	−	0.149403i
$827$	−16.0580	−	16.0580i	−0.558391	−	0.558391i	0.370458	−	0.928849i	$-0.379201\pi$
$827$	−16.0580	−	16.0580i	−0.558391	−	0.558391i	−0.928849	+	0.370458i	$0.879201\pi$
$828$	17.4191	+	16.3615i	0.605356	+	0.568602i
$829$			27.1152i			0.941748i	0.882200	+	0.470874i	$0.156061\pi$
$829$			27.1152i			0.941748i	−0.882200	+	0.470874i	$0.843939\pi$
$830$	−3.25371	+	0.0670101i	−0.112938	+	0.00232595i
$831$		−	20.7803i		−	0.720861i
$832$	6.16231	+	5.10157i	0.213640	+	0.176865i
$833$	7.04387	+	7.04387i	0.244056	+	0.244056i
$834$	11.6232	+	11.2650i	0.402478	+	0.390074i
$835$	40.5247	−	0.200312i	1.40241	−	0.00693210i
$836$	−0.596748	−	19.0603i	−0.0206390	−	0.659214i
$837$	−15.6852	+	15.6852i	−0.542158	+	0.542158i
$838$	−0.749755	−	47.9064i	−0.0258998	−	1.65490i
$839$	−0.563143			−0.0194419			−0.00972094	−	0.999953i	$-0.503094\pi$
$839$	−0.563143			−0.0194419			−0.00972094	+	0.999953i	$0.503094\pi$
$840$	9.80223	+	8.83431i	0.338209	+	0.304813i
$841$	−18.7398			−0.646200
$842$	−0.554005	−	35.3988i	−0.0190923	−	1.21992i
$843$	−9.93080	+	9.93080i	−0.342035	+	0.342035i
$844$	−0.0436132	−	1.39302i	−0.00150123	−	0.0479496i
$845$	−1.58893	−	1.57330i	−0.0546610	−	0.0541233i
$846$	−13.5782	−	13.1598i	−0.466829	−	0.452442i
$847$	1.83093	+	1.83093i	0.0629114	+	0.0629114i
$848$	−19.3265	−	17.0467i	−0.663676	−	0.585387i
$849$			21.1987i			0.727538i
$850$	−13.5249	+	14.2339i	−0.463900	+	0.488217i
$851$		−	59.8565i		−	2.05185i
$852$	23.5409	+	22.1116i	0.806499	+	0.757532i
$853$	18.4950	+	18.4950i	0.633258	+	0.633258i	0.948884	−	0.315626i	$-0.102214\pi$
$853$	18.4950	+	18.4950i	0.633258	+	0.633258i	−0.315626	+	0.948884i	$0.602214\pi$
$854$	−14.1229	+	14.5720i	−0.483277	+	0.498644i
$855$	7.41830	+	7.34533i	0.253701	+	0.251205i
$856$	−2.38288	+	2.61782i	−0.0814451	+	0.0894753i
$857$	−23.2399	+	23.2399i	−0.793860	+	0.793860i	−0.982119	−	0.188260i	$-0.939715\pi$
$857$	−23.2399	+	23.2399i	−0.793860	+	0.793860i	0.188260	+	0.982119i	$0.439715\pi$
$858$	5.62428	−	0.0880223i	0.192010	−	0.00300503i
$859$	29.9848			1.02307			0.511534	−	0.859263i	$-0.329077\pi$
$859$	29.9848			1.02307			0.511534	+	0.859263i	$0.329077\pi$
$860$	1.73836	+	47.9454i	0.0592775	+	1.63492i
$861$	18.5917			0.633604
$862$	21.3080	−	0.333480i	0.725755	−	0.0113584i
$863$	−1.19082	+	1.19082i	−0.0405360	+	0.0405360i	−0.727084	−	0.686548i	$-0.759125\pi$
$863$	−1.19082	+	1.19082i	−0.0405360	+	0.0405360i	0.686548	+	0.727084i	$0.259125\pi$
$864$	19.6099	−	22.9466i	0.667144	−	0.780660i
$865$	−11.3206	+	0.0559575i	−0.384912	+	0.00190261i
$866$	7.77486	−	8.02209i	0.264201	−	0.272602i
$867$	−7.41894	−	7.41894i	−0.251961	−	0.251961i
$868$	10.5154	−	11.1951i	0.356915	−	0.379986i
$869$		−	2.70056i		−	0.0916102i
$870$	0.508130	+	24.6725i	0.0172272	+	0.836476i
$871$		−	1.27070i		−	0.0430561i
$872$	−3.25034	+	0.152707i	−0.110070	+	0.00517132i
$873$	9.00757	+	9.00757i	0.304860	+	0.304860i
$874$	19.0534	+	18.4662i	0.644490	+	0.624628i
$875$	−0.306257	−	20.6513i	−0.0103534	−	0.698141i
$876$	12.2657	−	0.384021i	0.414420	−	0.0129749i
$877$	22.0407	−	22.0407i	0.744262	−	0.744262i	−0.229133	−	0.973395i	$-0.573589\pi$
$877$	22.0407	−	22.0407i	0.744262	−	0.744262i	0.973395	+	0.229133i	$0.0735891\pi$
$878$	0.656688	+	41.9598i	0.0221621	+	1.41607i
$879$	11.0941			0.374194
$880$	23.7249	+	20.7186i	0.799767	+	0.698425i
$881$	−51.6638			−1.74060			−0.870299	−	0.492524i	$-0.836075\pi$
$881$	−51.6638			−1.74060			−0.870299	+	0.492524i	$0.836075\pi$
$882$	0.136898	+	8.74728i	0.00460961	+	0.294536i
$883$	−9.30625	+	9.30625i	−0.313180	+	0.313180i	−0.846140	−	0.532960i	$-0.821080\pi$
$883$	−9.30625	+	9.30625i	−0.313180	+	0.313180i	0.532960	+	0.846140i	$0.321080\pi$
$884$	−5.55084	+	0.173788i	−0.186695	+	0.00584514i
$885$	−0.0285726	−	5.78045i	−0.000960458	−	0.194308i
$886$	2.71813	+	2.63436i	0.0913174	+	0.0885032i
$887$	−13.4068	−	13.4068i	−0.450157	−	0.450157i	0.445249	−	0.895407i	$-0.353115\pi$
$887$	−13.4068	−	13.4068i	−0.450157	−	0.450157i	−0.895407	+	0.445249i	$0.853115\pi$
$888$	−27.5635	+	1.29498i	−0.924969	+	0.0434568i
$889$			19.0784i			0.639869i
$890$	−0.968714	+	1.00945i	−0.0324714	+	0.0338370i
$891$		−	3.00583i		−	0.100699i
$892$	15.7075	−	16.7228i	0.525926	−	0.559922i
$893$	−14.8451	−	14.8451i	−0.496771	−	0.496771i
$894$	−14.6417	+	15.1073i	−0.489691	+	0.505262i
$895$	4.13847	−	4.17959i	0.138334	−	0.139708i
$896$	−13.0743	+	16.3056i	−0.436780	+	0.544731i
$897$	−5.53425	+	5.53425i	−0.184783	+	0.184783i
$898$	−17.7318	+	0.277510i	−0.591719	+	0.00926064i
$899$	28.7234			0.957981
$900$	−17.2289	+	0.709960i	−0.574297	+	0.0236653i
$901$	17.8896			0.595988
$902$	44.3727	−	0.694451i	1.47745	−	0.0231227i
$903$	−15.8273	+	15.8273i	−0.526700	+	0.526700i
$904$	5.86635	−	6.44475i	0.195112	−	0.214349i
$905$	−29.0814	+	29.3703i	−0.966699	+	0.976303i
$906$	21.8531	−	22.5480i	0.726022	−	0.749108i
$907$	5.06718	+	5.06718i	0.168253	+	0.168253i	0.786211	−	0.617958i	$-0.212040\pi$
$907$	5.06718	+	5.06718i	0.168253	+	0.168253i	−0.617958	+	0.786211i	$0.712040\pi$
$908$	−33.6931	−	31.6474i	−1.11815	−	1.05026i
$909$			5.90038i			0.195703i
$910$	4.04478	−	4.21489i	0.134083	−	0.139722i
$911$			52.2824i			1.73219i	0.499877	+	0.866097i	$0.333379\pi$
$911$			52.2824i			1.73219i	−0.499877	+	0.866097i	$0.666621\pi$
$912$	8.09132	−	9.17344i	0.267930	−	0.303763i
$913$	−2.56269	−	2.56269i	−0.0848127	−	0.0848127i
$914$	17.6233	+	17.0802i	0.582928	+	0.564963i
$915$	0.0969665	+	19.6170i	0.00320561	+	0.648519i
$916$	1.44135	+	46.0371i	0.0476236	+	1.52111i
$917$	−6.00898	+	6.00898i	−0.198434	+	0.198434i
$918$	0.327896	+	20.9513i	0.0108222	+	0.691496i
$919$	36.9830			1.21996			0.609979	−	0.792418i	$-0.291178\pi$
$919$	36.9830			1.21996			0.609979	+	0.792418i	$0.291178\pi$
$920$	−43.7677	+	2.27316i	−1.44298	+	0.0749439i
$921$	6.42219			0.211618
$922$	0.135006	+	8.62637i	0.00444619	+	0.284094i
$923$	10.1100	−	10.1100i	0.332776	−	0.332776i
$924$	0.459859	+	14.6880i	0.0151282	+	0.483200i
$925$	30.8396	+	30.2358i	1.01400	+	0.994147i
$926$	33.2309	+	32.2068i	1.09204	+	1.05838i
$927$	15.7211	+	15.7211i	0.516348	+	0.516348i
$928$	−38.9659	+	3.05515i	−1.27912	+	0.100290i
$929$		−	13.8125i		−	0.453175i	−0.973991	−	0.226587i	$-0.927243\pi$
$929$		−	13.8125i		−	0.453175i	0.973991	−	0.226587i	$-0.0727569\pi$
$930$	−0.305725	−	14.8446i	−0.0100251	−	0.486774i
$931$			9.71307i			0.318333i
$932$	−25.3782	−	23.8373i	−0.831291	−	0.780818i
$933$	−20.3394	−	20.3394i	−0.665881	−	0.665881i
$934$	−16.9985	+	17.5391i	−0.556209	+	0.573896i
$935$	−21.8656	+	0.108081i	−0.715081	+	0.00353463i
$936$	−3.60676	−	3.28306i	−0.117891	−	0.107310i
$937$	−16.2119	+	16.2119i	−0.529619	+	0.529619i	−0.920459	−	0.390840i	$-0.872185\pi$
$937$	−16.2119	+	16.2119i	−0.529619	+	0.529619i	0.390840	+	0.920459i	$0.372185\pi$
$938$	3.31930	−	0.0519483i	0.108379	−	0.00169617i
$939$	−13.7583			−0.448986
$940$	34.6541	−	1.25646i	1.13029	−	0.0409811i
$941$	−34.4230			−1.12216			−0.561080	−	0.827762i	$-0.689614\pi$
$941$	−34.4230			−1.12216			−0.561080	+	0.827762i	$0.689614\pi$
$942$	24.7872	−	0.387930i	0.807611	−	0.0126394i
$943$	−43.6624	+	43.6624i	−1.42184	+	1.42184i
$944$	9.13746	−	0.572721i	0.297399	−	0.0186405i
$945$	−15.6622	−	15.5082i	−0.509493	−	0.504480i
$946$	−37.1838	+	38.3661i	−1.20895	+	1.24739i
$947$	26.2388	+	26.2388i	0.852647	+	0.852647i	0.990458	−	0.137811i	$-0.0440068\pi$
$947$	26.2388	+	26.2388i	0.852647	+	0.852647i	−0.137811	+	0.990458i	$0.544007\pi$
$948$	1.18595	−	1.26261i	0.0385179	−	0.0410077i
$949$		−	5.43264i		−	0.176351i
$950$	−19.1388	+	0.488816i	−0.620946	+	0.0158593i
$951$			20.8386i			0.675739i
$952$	−0.680892	−	14.4926i	−0.0220678	−	0.469709i
$953$	−7.37148	−	7.37148i	−0.238786	−	0.238786i	0.577562	−	0.816347i	$-0.304004\pi$
$953$	−7.37148	−	7.37148i	−0.238786	−	0.238786i	−0.816347	+	0.577562i	$0.804004\pi$
$954$	11.2817	+	10.9341i	0.365260	+	0.354003i
$955$	−37.0199	−	36.6557i	−1.19794	−	1.18615i
$956$	24.5299	−	0.767995i	0.793355	−	0.0248387i
$957$	−19.4326	+	19.4326i	−0.628166	+	0.628166i
$958$	−0.485902	−	31.0473i	−0.0156988	−	1.00309i
$959$	−31.0578			−1.00291
$960$	1.99368	+	20.1055i	0.0643457	+	0.648903i
$961$	13.7181			0.442518
$962$	0.191157	+	12.2142i	0.00616314	+	0.393801i
$963$	1.52602	−	1.52602i	0.0491754	−	0.0491754i
$964$	50.2939	−	1.57462i	1.61986	−	0.0507152i
$965$	−8.45765	+	0.0418060i	−0.272261	+	0.00134578i
$966$	−14.6827	−	14.2302i	−0.472407	−	0.457848i
$967$	12.3132	+	12.3132i	0.395967	+	0.395967i	0.876808	−	0.480841i	$-0.159668\pi$
$967$	12.3132	+	12.3132i	0.395967	+	0.395967i	−0.480841	+	0.876808i	$0.659668\pi$
$968$	0.186056	+	3.96015i	0.00598005	+	0.127284i
$969$			8.49138i			0.272782i
$970$	−23.3563	+	0.481022i	−0.749926	+	0.0154447i
$971$			35.6856i			1.14521i	0.819833	+	0.572603i	$0.194066\pi$
$971$			35.6856i			1.14521i	−0.819833	+	0.572603i	$0.805934\pi$
$972$	−20.5988	+	21.9303i	−0.660706	+	0.703415i
$973$	13.2371	+	13.2371i	0.424363	+	0.424363i
$974$	−27.1739	+	28.0380i	−0.870707	+	0.898394i
$975$	−0.0558268	−	5.64695i	−0.00178789	−	0.180847i
$976$	−31.0097	+	1.94364i	−0.992596	+	0.0622143i
$977$	−8.96861	+	8.96861i	−0.286931	+	0.286931i	−0.835865	−	0.548934i	$-0.815034\pi$
$977$	−8.96861	+	8.96861i	−0.286931	+	0.286931i	0.548934	+	0.835865i	$0.315034\pi$
$978$	9.59653	−	0.150190i	0.306863	−	0.00480253i
$979$	−1.55805			−0.0497954
$980$	−11.7481	−	10.9260i	−0.375279	−	0.349018i
$981$	1.98376			0.0633366
$982$	7.60532	−	0.119026i	0.242695	−	0.00379828i
$983$	43.0243	−	43.0243i	1.37226	−	1.37226i	0.515180	−	0.857082i	$-0.327725\pi$
$983$	43.0243	−	43.0243i	1.37226	−	1.37226i	0.857082	−	0.515180i	$-0.172275\pi$
$984$	21.0508	+	19.1616i	0.671076	+	0.610849i
$985$	−0.198701	−	40.1986i	−0.00633113	−	1.28083i
$986$	18.8833	−	19.4838i	0.601367	−	0.620489i
$987$	11.4397	+	11.4397i	0.364130	+	0.364130i
$988$	−3.94696	−	3.70732i	−0.125570	−	0.117945i
$989$		−	74.3406i		−	2.36389i
$990$	−13.8552	−	13.2960i	−0.440347	−	0.422575i
$991$		−	7.62867i		−	0.242333i	−0.992632	−	0.121166i	$-0.961337\pi$
$991$		−	7.62867i		−	0.242333i	0.992632	−	0.121166i	$-0.0386634\pi$
$992$	23.4445	−	1.83818i	0.744363	−	0.0583623i
$993$	17.9872	+	17.9872i	0.570806	+	0.570806i
$994$	26.8225	+	25.9959i	0.850757	+	0.824538i
$995$	12.0386	−	12.1582i	0.381649	−	0.385441i
$996$	−0.0727471	−	2.32356i	−0.00230508	−	0.0736247i
$997$	−2.71420	+	2.71420i	−0.0859597	+	0.0859597i	−0.748779	−	0.662820i	$-0.769360\pi$
$997$	−2.71420	+	2.71420i	−0.0859597	+	0.0859597i	0.662820	+	0.748779i	$0.269360\pi$
$998$	0.554775	+	35.4479i	0.0175611	+	1.12208i
$999$	46.0903			1.45823

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.o.a.183.19	yes	72
4.3	odd	2	inner	260.2.o.a.183.1	yes	72
5.2	odd	4	inner	260.2.o.a.27.1	✓	72
20.7	even	4	inner	260.2.o.a.27.19	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.o.a.27.1	✓	72	5.2	odd	4	inner
260.2.o.a.27.19	yes	72	20.7	even	4	inner
260.2.o.a.183.1	yes	72	4.3	odd	2	inner
260.2.o.a.183.19	yes	72	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0221303 + 1.41404i) q^{2} +(-0.798638 + 0.798638i) q^{3} +(-1.99902 + 0.0625863i) q^{4} +(-1.57330 + 1.58893i) q^{5} +(-1.14698 - 1.11163i) q^{6} +(-1.30625 - 1.30625i) q^{7} +(-0.132739 - 2.82531i) q^{8} +1.72435i q^{9} +O(q^{10})\)	\(q+(0.0221303 + 1.41404i) q^{2} +(-0.798638 + 0.798638i) q^{3} +(-1.99902 + 0.0625863i) q^{4} +(-1.57330 + 1.58893i) q^{5} +(-1.14698 - 1.11163i) q^{6} +(-1.30625 - 1.30625i) q^{7} +(-0.132739 - 2.82531i) q^{8} +1.72435i q^{9} +(-2.28164 - 2.18955i) q^{10} -3.52160i q^{11} +(1.54651 - 1.64648i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(1.81818 - 1.87599i) q^{14} +(-0.0124834 - 2.52548i) q^{15} +(3.99217 - 0.250223i) q^{16} +(-1.96348 + 1.96348i) q^{17} +(-2.43831 + 0.0381605i) q^{18} -2.70752 q^{19} +(3.04562 - 3.27478i) q^{20} +2.08644 q^{21} +(4.97969 - 0.0779341i) q^{22} +(-4.89998 + 4.89998i) q^{23} +(2.36241 + 2.15039i) q^{24} +(-0.0494285 - 4.99976i) q^{25} +(0.984229 - 1.01553i) q^{26} +(-3.77305 - 3.77305i) q^{27} +(2.69297 + 2.52946i) q^{28} +6.90940i q^{29} +(3.57086 - 0.0735418i) q^{30} -4.15716i q^{31} +(0.442173 + 5.63955i) q^{32} +(2.81248 + 2.81248i) q^{33} +(-2.81989 - 2.73299i) q^{34} +(4.13066 - 0.0204178i) q^{35} +(-0.107921 - 3.44702i) q^{36} +(-6.10784 + 6.10784i) q^{37} +(-0.0599183 - 3.82854i) q^{38} +1.12944 q^{39} +(4.69807 + 4.23416i) q^{40} +8.91075 q^{41} +(0.0461735 + 2.95031i) q^{42} +(-7.58581 + 7.58581i) q^{43} +(0.220404 + 7.03975i) q^{44} +(-2.73989 - 2.71293i) q^{45} +(-7.03720 - 6.82033i) q^{46} +(5.48290 + 5.48290i) q^{47} +(-2.98846 + 3.38813i) q^{48} -3.58744i q^{49} +(7.06876 - 0.180540i) q^{50} -3.13622i q^{51} +(1.45778 + 1.36927i) q^{52} +(-4.55558 - 4.55558i) q^{53} +(5.25175 - 5.41874i) q^{54} +(5.59559 + 5.54055i) q^{55} +(-3.51716 + 3.86394i) q^{56} +(2.16233 - 2.16233i) q^{57} +(-9.77017 + 0.152907i) q^{58} +2.28885 q^{59} +(0.183015 + 5.04771i) q^{60} -7.76763 q^{61} +(5.87839 - 0.0919991i) q^{62} +(2.25243 - 2.25243i) q^{63} +(-7.96476 + 0.750055i) q^{64} +(2.23604 - 0.0110527i) q^{65} +(-3.91473 + 4.03921i) q^{66} +(0.898523 + 0.898523i) q^{67} +(3.80215 - 4.04792i) q^{68} -7.82662i q^{69} +(0.120284 + 5.84047i) q^{70} +14.2978i q^{71} +(4.87184 - 0.228888i) q^{72} +(3.84146 + 3.84146i) q^{73} +(-8.77190 - 8.50156i) q^{74} +(4.03247 + 3.95352i) q^{75} +(5.41239 - 0.169454i) q^{76} +(-4.60008 + 4.60008i) q^{77} +(0.0249950 + 1.59708i) q^{78} +0.766856 q^{79} +(-5.88330 + 6.73697i) q^{80} +0.853540 q^{81} +(0.197198 + 12.6002i) q^{82} +(0.727706 - 0.727706i) q^{83} +(-4.17083 + 0.130582i) q^{84} +(-0.0306909 - 6.20899i) q^{85} +(-10.8945 - 10.5588i) q^{86} +(-5.51811 - 5.51811i) q^{87} +(-9.94962 + 0.467452i) q^{88} -0.442426i q^{89} +(3.77556 - 3.93435i) q^{90} +1.84731i q^{91} +(9.48848 - 10.1018i) q^{92} +(3.32006 + 3.32006i) q^{93} +(-7.63170 + 7.87438i) q^{94} +(4.25975 - 4.30208i) q^{95} +(-4.85709 - 4.15082i) q^{96} +(5.22374 - 5.22374i) q^{97} +(5.07279 - 0.0793912i) q^{98} +6.07249 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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