LMFDB - Embedded newform 560.2.bc.a.251.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [560,2,Mod(251,560)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(560, base_ring=CyclotomicField(4))

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

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

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

chi := DirichletCharacter("560.251");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 560 = 2^{4} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	560.bc (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:	$4.47162251319$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$64$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			251.11
Character	$\chi$	$=$	560.251
Dual form			560.2.bc.a.531.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16313 + 0.804438i) q^{2} +(-1.78548 + 1.78548i) q^{3} +(0.705760 - 1.87134i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.640444 - 3.51306i) q^{6} +(-0.850060 + 2.50547i) q^{7} +(0.684482 + 2.74436i) q^{8} -3.37588i q^{9} +O(q^{10})$	\(q+(-1.16313 + 0.804438i) q^{2} +(-1.78548 + 1.78548i) q^{3} +(0.705760 - 1.87134i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.640444 - 3.51306i) q^{6} +(-0.850060 + 2.50547i) q^{7} +(0.684482 + 2.74436i) q^{8} -3.37588i q^{9} +(-0.253636 + 1.39128i) q^{10} +(0.0703262 - 0.0703262i) q^{11} +(2.08112 + 4.60135i) q^{12} +(1.06297 + 1.06297i) q^{13} +(-1.02676 - 3.59802i) q^{14} +2.52505i q^{15} +(-3.00381 - 2.64143i) q^{16} +2.50969i q^{17} +(2.71568 + 3.92660i) q^{18} +(-4.58790 + 4.58790i) q^{19} +(-0.824188 - 1.82228i) q^{20} +(-2.95571 - 5.99124i) q^{21} +(-0.0252257 + 0.138372i) q^{22} -2.70670 q^{23} +(-6.12212 - 3.67786i) q^{24} -1.00000i q^{25} +(-2.09147 - 0.381283i) q^{26} +(0.671121 + 0.671121i) q^{27} +(4.08865 + 3.35901i) q^{28} +(-0.166794 + 0.166794i) q^{29} +(-2.03125 - 2.93697i) q^{30} -0.412650 q^{31} +(5.61869 + 0.655959i) q^{32} +0.251132i q^{33} +(-2.01889 - 2.91910i) q^{34} +(1.17055 + 2.37272i) q^{35} +(-6.31740 - 2.38256i) q^{36} +(-7.93663 - 7.93663i) q^{37} +(1.64566 - 9.02702i) q^{38} -3.79582 q^{39} +(2.42455 + 1.45655i) q^{40} +6.16803 q^{41} +(8.25746 + 4.59093i) q^{42} +(0.690526 - 0.690526i) q^{43} +(-0.0819707 - 0.181238i) q^{44} +(-2.38711 - 2.38711i) q^{45} +(3.14825 - 2.17737i) q^{46} +0.817267 q^{47} +(10.0795 - 0.647018i) q^{48} +(-5.55480 - 4.25960i) q^{49} +(0.804438 + 1.16313i) q^{50} +(-4.48100 - 4.48100i) q^{51} +(2.73938 - 1.23897i) q^{52} +(-0.0169281 - 0.0169281i) q^{53} +(-1.32048 - 0.240728i) q^{54} -0.0994563i q^{55} +(-7.45776 - 0.617915i) q^{56} -16.3832i q^{57} +(0.0598284 - 0.328179i) q^{58} +(-6.42990 - 6.42990i) q^{59} +(4.72522 + 1.78208i) q^{60} +(-4.40167 - 4.40167i) q^{61} +(0.479968 - 0.331952i) q^{62} +(8.45817 + 2.86970i) q^{63} +(-7.06297 + 3.75692i) q^{64} +1.50327 q^{65} +(-0.202020 - 0.292100i) q^{66} +(-3.75060 - 3.75060i) q^{67} +(4.69648 + 1.77124i) q^{68} +(4.83275 - 4.83275i) q^{69} +(-3.27022 - 1.81815i) q^{70} +14.9974 q^{71} +(9.26460 - 2.31073i) q^{72} -15.8463 q^{73} +(15.6159 + 2.84684i) q^{74} +(1.78548 + 1.78548i) q^{75} +(5.34755 + 11.8235i) q^{76} +(0.116419 + 0.235982i) q^{77} +(4.41505 - 3.05351i) q^{78} +0.410639i q^{79} +(-3.99178 + 0.256240i) q^{80} +7.73109 q^{81} +(-7.17424 + 4.96179i) q^{82} +(-3.76295 + 3.76295i) q^{83} +(-13.2976 + 1.30275i) q^{84} +(1.77462 + 1.77462i) q^{85} +(-0.247689 + 1.35866i) q^{86} -0.595615i q^{87} +(0.241137 + 0.144863i) q^{88} -7.55362 q^{89} +(4.69680 + 0.856245i) q^{90} +(-3.56683 + 1.75966i) q^{91} +(-1.91028 + 5.06514i) q^{92} +(0.736779 - 0.736779i) q^{93} +(-0.950591 + 0.657440i) q^{94} +6.48827i q^{95} +(-11.2033 + 8.86086i) q^{96} +16.3192i q^{97} +(9.88756 + 0.485999i) q^{98} +(-0.237413 - 0.237413i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 4 q^{4}+O(q^{10}) $ 128 * q - 4 * q^4	$ 128 q - 4 q^{4} + 8 q^{11} - 8 q^{14} + 20 q^{16} + 20 q^{18} - 52 q^{22} - 16 q^{23} + 44 q^{28} + 16 q^{29} + 40 q^{32} + 16 q^{37} + 60 q^{42} - 8 q^{43} - 108 q^{44} - 40 q^{46} - 4 q^{50} + 80 q^{51} + 16 q^{53} + 12 q^{56} - 76 q^{58} - 56 q^{60} - 52 q^{64} + 40 q^{67} - 8 q^{70} - 64 q^{71} - 36 q^{72} + 60 q^{74} - 48 q^{78} - 128 q^{81} - 32 q^{84} + 76 q^{86} + 20 q^{88} - 32 q^{91} + 64 q^{92} - 76 q^{98} - 40 q^{99}+O(q^{100}) $ 128 * q - 4 * q^4 + 8 * q^11 - 8 * q^14 + 20 * q^16 + 20 * q^18 - 52 * q^22 - 16 * q^23 + 44 * q^28 + 16 * q^29 + 40 * q^32 + 16 * q^37 + 60 * q^42 - 8 * q^43 - 108 * q^44 - 40 * q^46 - 4 * q^50 + 80 * q^51 + 16 * q^53 + 12 * q^56 - 76 * q^58 - 56 * q^60 - 52 * q^64 + 40 * q^67 - 8 * q^70 - 64 * q^71 - 36 * q^72 + 60 * q^74 - 48 * q^78 - 128 * q^81 - 32 * q^84 + 76 * q^86 + 20 * q^88 - 32 * q^91 + 64 * q^92 - 76 * q^98 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/560\mathbb{Z}\right)^\times$.

$n$	$241$	$337$	$351$	$421$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−1.16313	+	0.804438i	−0.822460	+	0.568823i
$2$	−1.16313	+	0.804438i	−0.822460	+	0.568823i
$3$	−1.78548	+	1.78548i	−1.03085	+	1.03085i	−0.0313385	+	0.999509i	$0.509977\pi$
$3$	−1.78548	+	1.78548i	−1.03085	+	1.03085i	−0.999509	+	0.0313385i	$0.990023\pi$
$4$	0.705760	−	1.87134i	0.352880	−	0.935669i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$6$	0.640444	−	3.51306i	0.261460	−	1.43420i
$7$	−0.850060	+	2.50547i	−0.321292	+	0.946980i
$7$	−0.850060	+	2.50547i	−0.321292	+	0.946980i
$8$	0.684482	+	2.74436i	0.242001	+	0.970276i
$9$		−	3.37588i		−	1.12529i
$10$	−0.253636	+	1.39128i	−0.0802068	+	0.439962i
$11$	0.0703262	−	0.0703262i	0.0212042	−	0.0212042i	−0.696425	−	0.717629i	$-0.745227\pi$
$11$	0.0703262	−	0.0703262i	0.0212042	−	0.0212042i	0.717629	+	0.696425i	$0.245227\pi$
$12$	2.08112	+	4.60135i	0.600766	+	1.32830i
$13$	1.06297	+	1.06297i	0.294815	+	0.294815i	0.838979	−	0.544164i	$-0.183153\pi$
$13$	1.06297	+	1.06297i	0.294815	+	0.294815i	−0.544164	+	0.838979i	$0.683153\pi$
$14$	−1.02676	−	3.59802i	−0.274414	−	0.961612i
$15$			2.52505i			0.651965i
$16$	−3.00381	−	2.64143i	−0.750952	−	0.660357i
$17$			2.50969i			0.608689i	0.952562	+	0.304345i	$0.0984374\pi$
$17$			2.50969i			0.608689i	−0.952562	+	0.304345i	$0.901563\pi$
$18$	2.71568	+	3.92660i	0.640093	+	0.925508i
$19$	−4.58790	+	4.58790i	−1.05254	+	1.05254i	−0.0539952	+	0.998541i	$0.517196\pi$
$19$	−4.58790	+	4.58790i	−1.05254	+	1.05254i	−0.998541	+	0.0539952i	$0.982804\pi$
$20$	−0.824188	−	1.82228i	−0.184294	−	0.407475i
$21$	−2.95571	−	5.99124i	−0.644989	−	1.30740i
$22$	−0.0252257	+	0.138372i	−0.00537814	+	0.0295010i
$23$	−2.70670			−0.564385			−0.282192	−	0.959358i	$-0.591062\pi$
$23$	−2.70670			−0.564385			−0.282192	+	0.959358i	$0.591062\pi$
$24$	−6.12212	−	3.67786i	−1.24967	−	0.750741i
$25$		−	1.00000i		−	0.200000i
$26$	−2.09147	−	0.381283i	−0.410171	−	0.0747758i
$27$	0.671121	+	0.671121i	0.129157	+	0.129157i
$28$	4.08865	+	3.35901i	0.772682	+	0.634793i
$29$	−0.166794	+	0.166794i	−0.0309729	+	0.0309729i	−0.722424	−	0.691451i	$-0.756972\pi$
$29$	−0.166794	+	0.166794i	−0.0309729	+	0.0309729i	0.691451	+	0.722424i	$0.256972\pi$
$30$	−2.03125	−	2.93697i	−0.370853	−	0.536215i
$31$	−0.412650			−0.0741142			−0.0370571	−	0.999313i	$-0.511798\pi$
$31$	−0.412650			−0.0741142			−0.0370571	+	0.999313i	$0.511798\pi$
$32$	5.61869	+	0.655959i	0.993254	+	0.115958i
$33$			0.251132i			0.0437165i
$34$	−2.01889	−	2.91910i	−0.346237	−	0.500622i
$35$	1.17055	+	2.37272i	0.197860	+	0.401063i
$36$	−6.31740	−	2.38256i	−1.05290	−	0.397093i
$37$	−7.93663	−	7.93663i	−1.30477	−	1.30477i	−0.925134	−	0.379640i	$-0.876048\pi$
$37$	−7.93663	−	7.93663i	−1.30477	−	1.30477i	−0.379640	−	0.925134i	$-0.623952\pi$
$38$	1.64566	−	9.02702i	0.266961	−	1.46438i
$39$	−3.79582			−0.607818
$40$	2.42455	+	1.45655i	0.383356	+	0.230301i
$41$	6.16803			0.963284			0.481642	−	0.876368i	$-0.340041\pi$
$41$	6.16803			0.963284			0.481642	+	0.876368i	$0.340041\pi$
$42$	8.25746	+	4.59093i	1.27415	+	0.708395i
$43$	0.690526	−	0.690526i	0.105304	−	0.105304i	−0.652492	−	0.757796i	$-0.726276\pi$
$43$	0.690526	−	0.690526i	0.105304	−	0.105304i	0.757796	+	0.652492i	$0.226276\pi$
$44$	−0.0819707	−	0.181238i	−0.0123575	−	0.0273226i
$45$	−2.38711	−	2.38711i	−0.355849	−	0.355849i
$46$	3.14825	−	2.17737i	0.464184	−	0.321035i
$47$	0.817267			0.119211			0.0596053	−	0.998222i	$-0.481016\pi$
$47$	0.817267			0.119211			0.0596053	+	0.998222i	$0.481016\pi$
$48$	10.0795	−	0.647018i	1.45484	−	0.0933890i
$49$	−5.55480	−	4.25960i	−0.793543	−	0.608515i
$50$	0.804438	+	1.16313i	0.113765	+	0.164492i
$51$	−4.48100	−	4.48100i	−0.627466	−	0.627466i
$52$	2.73938	−	1.23897i	0.379883	−	0.171815i
$53$	−0.0169281	−	0.0169281i	−0.00232525	−	0.00232525i	0.705943	−	0.708268i	$-0.250523\pi$
$53$	−0.0169281	−	0.0169281i	−0.00232525	−	0.00232525i	−0.708268	+	0.705943i	$0.750523\pi$
$54$	−1.32048	−	0.240728i	−0.179694	−	0.0327590i
$55$		−	0.0994563i		−	0.0134107i
$56$	−7.45776	−	0.617915i	−0.996585	−	0.0825723i
$57$		−	16.3832i		−	2.17001i
$58$	0.0598284	−	0.328179i	0.00785585	−	0.0430921i
$59$	−6.42990	−	6.42990i	−0.837102	−	0.837102i	0.151374	−	0.988477i	$-0.451630\pi$
$59$	−6.42990	−	6.42990i	−0.837102	−	0.837102i	−0.988477	+	0.151374i	$0.951630\pi$
$60$	4.72522	+	1.78208i	0.610023	+	0.230065i
$61$	−4.40167	−	4.40167i	−0.563576	−	0.563576i	0.366745	−	0.930321i	$-0.380472\pi$
$61$	−4.40167	−	4.40167i	−0.563576	−	0.563576i	−0.930321	+	0.366745i	$0.880472\pi$
$62$	0.479968	−	0.331952i	0.0609559	−	0.0421579i
$63$	8.45817	+	2.86970i	1.06563	+	0.361548i
$64$	−7.06297	+	3.75692i	−0.882871	+	0.469615i
$65$	1.50327			0.186457
$66$	−0.202020	−	0.292100i	−0.0248670	−	0.0359551i
$67$	−3.75060	−	3.75060i	−0.458209	−	0.458209i	0.439858	−	0.898067i	$-0.355029\pi$
$67$	−3.75060	−	3.75060i	−0.458209	−	0.458209i	−0.898067	+	0.439858i	$0.855029\pi$
$68$	4.69648	+	1.77124i	0.569531	+	0.214794i
$69$	4.83275	−	4.83275i	0.581795	−	0.581795i
$70$	−3.27022	−	1.81815i	−0.390866	−	0.217311i
$71$	14.9974			1.77986			0.889932	−	0.456093i	$-0.150752\pi$
$71$	14.9974			1.77986			0.889932	+	0.456093i	$0.150752\pi$
$72$	9.26460	−	2.31073i	1.09184	−	0.272322i
$73$	−15.8463			−1.85467			−0.927336	−	0.374229i	$-0.877908\pi$
$73$	−15.8463			−1.85467			−0.927336	+	0.374229i	$0.877908\pi$
$74$	15.6159	+	2.84684i	1.81531	+	0.330938i
$75$	1.78548	+	1.78548i	0.206169	+	0.206169i
$76$	5.34755	+	11.8235i	0.613406	+	1.35624i
$77$	0.116419	+	0.235982i	0.0132672	+	0.0268926i
$78$	4.41505	−	3.05351i	0.499906	−	0.345741i
$79$			0.410639i			0.0462005i	0.999733	+	0.0231003i	$0.00735370\pi$
$79$			0.410639i			0.0462005i	−0.999733	+	0.0231003i	$0.992646\pi$
$80$	−3.99178	+	0.256240i	−0.446295	+	0.0286485i
$81$	7.73109			0.859010
$82$	−7.17424	+	4.96179i	−0.792262	+	0.547938i
$83$	−3.76295	+	3.76295i	−0.413038	+	0.413038i	−0.882795	−	0.469758i	$-0.844341\pi$
$83$	−3.76295	+	3.76295i	−0.413038	+	0.413038i	0.469758	+	0.882795i	$0.344341\pi$
$84$	−13.2976	+	1.30275i	−1.45089	+	0.142142i
$85$	1.77462	+	1.77462i	0.192484	+	0.192484i
$86$	−0.247689	+	1.35866i	−0.0267090	+	0.146508i
$87$		−	0.595615i		−	0.0638567i
$88$	0.241137	+	0.144863i	0.0257053	+	0.0154425i
$89$	−7.55362			−0.800683			−0.400341	−	0.916366i	$-0.631108\pi$
$89$	−7.55362			−0.800683			−0.400341	+	0.916366i	$0.631108\pi$
$90$	4.69680	+	0.856245i	0.495086	+	0.0902561i
$91$	−3.56683	+	1.75966i	−0.373906	+	0.184462i
$92$	−1.91028	+	5.06514i	−0.199160	+	0.528077i
$93$	0.736779	−	0.736779i	0.0764004	−	0.0764004i
$94$	−0.950591	+	0.657440i	−0.0980459	+	0.0678098i
$95$			6.48827i			0.665682i
$96$	−11.2033	+	8.86086i	−1.14343	+	0.904358i
$97$			16.3192i			1.65696i	0.560016	+	0.828482i	$0.310795\pi$
$97$			16.3192i			1.65696i	−0.560016	+	0.828482i	$0.689205\pi$
$98$	9.88756	+	0.485999i	0.998794	+	0.0490933i
$99$	−0.237413	−	0.237413i	−0.0238609	−	0.0238609i
$100$	−1.87134	−	0.705760i	−0.187134	−	0.0705760i
$101$	−6.02420	+	6.02420i	−0.599431	+	0.599431i	−0.940161	−	0.340730i	$-0.889326\pi$
$101$	−6.02420	+	6.02420i	−0.599431	+	0.599431i	0.340730	+	0.940161i	$0.389326\pi$
$102$	8.81669	+	1.60732i	0.872982	+	0.159148i
$103$		−	5.29227i		−	0.521463i	−0.965411	−	0.260731i	$-0.916036\pi$
$103$		−	5.29227i		−	0.521463i	0.965411	−	0.260731i	$-0.0839637\pi$
$104$	−2.18958	+	3.64475i	−0.214706	+	0.357397i
$105$	−6.32645	−	2.14644i	−0.617398	−	0.209471i
$106$	0.0333072	+	0.00607204i	0.00323509	+	0.000589769i
$107$	−10.0631	+	10.0631i	−0.972838	+	0.972838i	−0.999641	−	0.0268025i	$-0.991467\pi$
$107$	−10.0631	+	10.0631i	−0.972838	+	0.972838i	0.0268025	+	0.999641i	$0.491467\pi$
$108$	1.72954	−	0.782243i	0.166425	−	0.0752714i
$109$	−13.0851	+	13.0851i	−1.25332	+	1.25332i	−0.299104	+	0.954221i	$0.596688\pi$
$109$	−13.0851	+	13.0851i	−1.25332	+	1.25332i	−0.954221	+	0.299104i	$0.903312\pi$
$110$	0.0800064	+	0.115681i	0.00762831	+	0.0110297i
$111$	28.3414			2.69005
$112$	9.17145	−	5.28059i	0.866620	−	0.498969i
$113$	13.1388			1.23599			0.617996	−	0.786181i	$-0.287945\pi$
$113$	13.1388			1.23599			0.617996	+	0.786181i	$0.287945\pi$
$114$	13.1793	+	19.0559i	1.23435	+	1.78474i
$115$	−1.91392	+	1.91392i	−0.178474	+	0.178474i
$116$	0.194412	+	0.429845i	0.0180507	+	0.0399101i
$117$	3.58846	−	3.58846i	0.331753	−	0.331753i
$118$	12.6513	+	2.30638i	1.16465	+	0.212319i
$119$	−6.28796	−	2.13339i	−0.576417	−	0.195567i
$120$	−6.92963	+	1.72835i	−0.632586	+	0.157776i
$121$			10.9901i			0.999101i
$122$	8.66060	+	1.57886i	0.784094	+	0.142943i
$123$	−11.0129	+	11.0129i	−0.992999	+	0.992999i
$124$	−0.291232	+	0.772208i	−0.0261534	+	0.0693463i
$125$	−0.707107	−	0.707107i	−0.0632456	−	0.0632456i
$126$	−12.1465	+	3.46623i	−1.08209	+	0.308796i
$127$			17.3811i			1.54232i	0.636640	+	0.771161i	$0.280324\pi$
$127$			17.3811i			1.54232i	−0.636640	+	0.771161i	$0.719676\pi$
$128$	5.19297	−	10.0515i	0.458998	−	0.888437i
$129$			2.46584i			0.217105i
$130$	−1.74850	+	1.20929i	−0.153354	+	0.106061i
$131$	4.96637	−	4.96637i	0.433913	−	0.433913i	−0.456044	−	0.889957i	$-0.650734\pi$
$131$	4.96637	−	4.96637i	0.433913	−	0.433913i	0.889957	+	0.456044i	$0.150734\pi$
$132$	0.469953	+	0.177239i	0.0409042	+	0.0154267i
$133$	−7.59487	−	15.3949i	−0.658559	−	1.33490i
$134$	7.37958	+	1.34533i	0.637499	+	0.116218i
$135$	0.949108			0.0816862
$136$	−6.88748	+	1.71784i	−0.590597	+	0.147303i
$137$		−	11.6933i		−	0.999027i	−0.866306	−	0.499513i	$-0.833512\pi$
$137$		−	11.6933i		−	0.999027i	0.866306	−	0.499513i	$-0.166488\pi$
$138$	−1.73349	+	9.50878i	−0.147564	+	0.809441i
$139$	−14.3160	−	14.3160i	−1.21426	−	1.21426i	−0.969611	−	0.244652i	$-0.921326\pi$
$139$	−14.3160	−	14.3160i	−1.21426	−	1.21426i	−0.244652	−	0.969611i	$-0.578674\pi$
$140$	5.26629	−	0.515932i	0.445083	−	0.0436042i
$141$	−1.45921	+	1.45921i	−0.122888	+	0.122888i
$142$	−17.4440	+	12.0645i	−1.46387	+	1.01243i
$143$	0.149509			0.0125026
$144$	−8.91714	+	10.1405i	−0.743095	+	0.845040i
$145$			0.235883i			0.0195890i
$146$	18.4314	−	12.7474i	1.52539	−	1.05498i
$147$	17.5234	−	2.31254i	1.44531	−	0.190735i
$148$	−20.4535	+	9.25076i	−1.68126	+	0.760408i
$149$	16.9746	+	16.9746i	1.39061	+	1.39061i	0.823947	+	0.566667i	$0.191767\pi$
$149$	16.9746	+	16.9746i	1.39061	+	1.39061i	0.566667	+	0.823947i	$0.308233\pi$
$150$	−3.51306	−	0.640444i	−0.286840	−	0.0522921i
$151$	11.6481			0.947912			0.473956	−	0.880549i	$-0.342826\pi$
$151$	11.6481			0.947912			0.473956	+	0.880549i	$0.342826\pi$
$152$	−15.7312	−	9.45049i	−1.27597	−	0.766536i
$153$	8.47240			0.684953
$154$	−0.325244	−	0.180827i	−0.0262089	−	0.0145714i
$155$	−0.291788	+	0.291788i	−0.0234370	+	0.0234370i
$156$	−2.67894	+	7.10327i	−0.214487	+	0.568717i
$157$	6.81929	+	6.81929i	0.544239	+	0.544239i	0.924769	−	0.380530i	$-0.124258\pi$
$157$	6.81929	+	6.81929i	0.544239	+	0.544239i	−0.380530	+	0.924769i	$0.624258\pi$
$158$	−0.330334	−	0.477629i	−0.0262800	−	0.0379981i
$159$	0.0604496			0.00479396
$160$	4.43685	−	3.50918i	0.350764	−	0.277425i
$161$	2.30085	−	6.78155i	0.181333	−	0.534461i
$162$	−8.99229	+	6.21918i	−0.706501	+	0.488625i
$163$	−4.97611	−	4.97611i	−0.389759	−	0.389759i	0.484842	−	0.874602i	$-0.338877\pi$
$163$	−4.97611	−	4.97611i	−0.389759	−	0.389759i	−0.874602	+	0.484842i	$0.838877\pi$
$164$	4.35314	−	11.5425i	0.339924	−	0.901315i
$165$	0.177577	+	0.177577i	0.0138244	+	0.0138244i
$166$	1.34976	−	7.40388i	0.104761	−	0.574652i
$167$			0.412599i			0.0319279i	0.999873	+	0.0159639i	$0.00508169\pi$
$167$			0.412599i			0.0319279i	−0.999873	+	0.0159639i	$0.994918\pi$
$168$	14.4190	−	12.2124i	1.11245	−	0.942208i
$169$		−	10.7402i		−	0.826168i
$170$	−3.49169	−	0.636548i	−0.267800	−	0.0488210i
$171$	15.4882	+	15.4882i	1.18441	+	1.18441i
$172$	−0.804862	−	1.77955i	−0.0613701	−	0.135690i
$173$	5.16055	+	5.16055i	0.392350	+	0.392350i	0.875524	−	0.483174i	$-0.160516\pi$
$173$	5.16055	+	5.16055i	0.392350	+	0.392350i	−0.483174	+	0.875524i	$0.660516\pi$
$174$	0.479136	+	0.692780i	0.0363232	+	0.0525195i
$175$	2.50547	+	0.850060i	0.189396	+	0.0642585i
$176$	−0.397008	+	0.0254846i	−0.0299256	+	0.00192098i
$177$	22.9609			1.72585
$178$	8.78587	−	6.07642i	0.658529	−	0.455447i
$179$	−12.6682	−	12.6682i	−0.946869	−	0.946869i	0.0517891	−	0.998658i	$-0.483508\pi$
$179$	−12.6682	−	12.6682i	−0.946869	−	0.946869i	−0.998658	+	0.0517891i	$0.983508\pi$
$180$	−6.15180	+	2.78236i	−0.458528	+	0.207385i
$181$	7.23983	−	7.23983i	0.538132	−	0.538132i	−0.384848	−	0.922980i	$-0.625746\pi$
$181$	7.23983	−	7.23983i	0.538132	−	0.538132i	0.922980	+	0.384848i	$0.125746\pi$
$182$	2.73317	−	4.91601i	0.202596	−	0.364399i
$183$	15.7182			1.16192
$184$	−1.85268	−	7.42813i	−0.136582	−	0.547609i
$185$	−11.2241			−0.825212
$186$	−0.264280	+	1.44967i	−0.0193779	+	0.106295i
$187$	0.176497	+	0.176497i	0.0129067	+	0.0129067i
$188$	0.576794	−	1.52938i	0.0420670	−	0.111542i
$189$	−2.25197	+	1.11098i	−0.163807	+	0.0808121i
$190$	−5.21941	−	7.54673i	−0.378656	−	0.547497i
$191$			9.45391i			0.684061i	0.939689	+	0.342031i	$0.111115\pi$
$191$			9.45391i			0.684061i	−0.939689	+	0.342031i	$0.888885\pi$
$192$	5.90288	−	19.3187i	0.426004	−	1.39421i
$193$	6.37384			0.458799			0.229399	−	0.973332i	$-0.426324\pi$
$193$	6.37384			0.458799			0.229399	+	0.973332i	$0.426324\pi$
$194$	−13.1278	−	18.9814i	−0.942520	−	1.36279i
$195$	−2.68405	+	2.68405i	−0.192209	+	0.192209i
$196$	−11.8915	+	7.38864i	−0.849393	+	0.527760i
$197$	−7.27131	−	7.27131i	−0.518059	−	0.518059i	0.398925	−	0.916984i	$-0.369384\pi$
$197$	−7.27131	−	7.27131i	−0.518059	−	0.518059i	−0.916984	+	0.398925i	$0.869384\pi$
$198$	0.467126	+	0.0851589i	0.0331972	+	0.00605198i
$199$			5.34393i			0.378821i	0.981898	+	0.189411i	$0.0606578\pi$
$199$			5.34393i			0.378821i	−0.981898	+	0.189411i	$0.939342\pi$
$200$	2.74436	−	0.684482i	0.194055	−	0.0484002i
$201$	13.3933			0.944687
$202$	2.16086	−	11.8530i	0.152037	−	0.833978i
$203$	−0.276113	−	0.559683i	−0.0193794	−	0.0392821i
$204$	−11.5480	+	5.22295i	−0.808520	+	0.365680i
$205$	4.36145	−	4.36145i	0.304617	−	0.304617i
$206$	4.25730	+	6.15562i	0.296620	+	0.428882i
$207$			9.13747i			0.635098i
$208$	−0.385197	−	6.00072i	−0.0267086	−	0.416075i
$209$			0.645299i			0.0446363i
$210$	9.08518	−	2.59263i	0.626937	−	0.178909i
$211$	8.08871	+	8.08871i	0.556850	+	0.556850i	0.928409	−	0.371559i	$-0.121177\pi$
$211$	8.08871	+	8.08871i	0.556850	+	0.556850i	−0.371559	+	0.928409i	$0.621177\pi$
$212$	−0.0436254	+	0.0197310i	−0.00299620	+	0.00135513i
$213$	−26.7776	+	26.7776i	−1.83477	+	1.83477i
$214$	3.60960	−	19.7999i	0.246747	−	1.35349i
$215$		−	0.976552i		−	0.0666003i
$216$	−1.38242	+	2.30116i	−0.0940620	+	0.156574i
$217$	0.350777	−	1.03388i	0.0238123	−	0.0701847i
$218$	4.69357	−	25.7458i	0.317888	−	1.74373i
$219$	28.2933	−	28.2933i	1.91188	−	1.91188i
$220$	−0.186116	−	0.0701923i	−0.0125480	−	0.00473236i
$221$	−2.66773	+	2.66773i	−0.179451	+	0.179451i
$222$	−32.9648	+	22.7989i	−2.21245	+	1.53016i
$223$	−20.5733			−1.37769			−0.688844	−	0.724910i	$-0.741881\pi$
$223$	−20.5733			−1.37769			−0.688844	+	0.724910i	$0.741881\pi$
$224$	−6.41971	+	13.5199i	−0.428935	+	0.903335i
$225$	−3.37588			−0.225058
$226$	−15.2822	+	10.5693i	−1.01655	+	0.703061i
$227$	12.3146	−	12.3146i	0.817346	−	0.817346i	−0.168376	−	0.985723i	$-0.553852\pi$
$227$	12.3146	−	12.3146i	0.817346	−	0.817346i	0.985723	+	0.168376i	$0.0538524\pi$
$228$	−30.6585	−	11.5626i	−2.03041	−	0.765752i
$229$	−14.4211	+	14.4211i	−0.952976	+	0.952976i	−0.998943	−	0.0459674i	$-0.985363\pi$
$229$	−14.4211	+	14.4211i	−0.952976	+	0.952976i	0.0459674	+	0.998943i	$0.485363\pi$
$230$	0.686516	−	3.76578i	0.0452675	−	0.248308i
$231$	−0.629205	−	0.213477i	−0.0413986	−	0.0140458i
$232$	−0.571910	−	0.343575i	−0.0375477	−	0.0225568i
$233$			23.8952i			1.56543i	0.622383	+	0.782713i	$0.286165\pi$
$233$			23.8952i			1.56543i	−0.622383	+	0.782713i	$0.713835\pi$
$234$	−1.28716	+	7.06055i	−0.0841446	+	0.461562i
$235$	0.577895	−	0.577895i	0.0376977	−	0.0376977i
$236$	−16.5705	+	7.49455i	−1.07865	+	0.487854i
$237$	−0.733188	−	0.733188i	−0.0476257	−	0.0476257i
$238$	9.02992	−	2.57686i	0.585323	−	0.167033i
$239$			15.0229i			0.971750i	0.874028	+	0.485875i	$0.161499\pi$
$239$			15.0229i			0.971750i	−0.874028	+	0.485875i	$0.838501\pi$
$240$	6.66974	−	7.58476i	0.430530	−	0.489594i
$241$			1.81039i			0.116618i	0.998299	+	0.0583089i	$0.0185708\pi$
$241$			1.81039i			0.116618i	−0.998299	+	0.0583089i	$0.981429\pi$
$242$	−8.84086	−	12.7830i	−0.568312	−	0.821720i
$243$	−15.8171	+	15.8171i	−1.01466	+	1.01466i
$244$	−11.3435	+	5.13049i	−0.726195	+	0.328446i
$245$	−6.93983	+	0.915841i	−0.443369	+	0.0585109i
$246$	3.95028	−	21.6686i	0.251860	−	1.38154i
$247$	−9.75360			−0.620607
$248$	−0.282452	−	1.13246i	−0.0179357	−	0.0719112i
$249$		−	13.4373i		−	0.851557i
$250$	1.39128	+	0.253636i	0.0879925	+	0.0160414i
$251$	8.95299	+	8.95299i	0.565108	+	0.565108i	0.930754	−	0.365646i	$-0.119152\pi$
$251$	8.95299	+	8.95299i	0.565108	+	0.565108i	−0.365646	+	0.930754i	$0.619152\pi$
$252$	11.3396	−	13.8028i	0.714328	−	0.869493i
$253$	−0.190352	+	0.190352i	−0.0119673	+	0.0119673i
$254$	−13.9820	−	20.2165i	−0.877309	−	1.26850i
$255$	−6.33709			−0.396844
$256$	2.04571	+	15.8687i	0.127857	+	0.991793i
$257$		−	16.2096i		−	1.01113i	−0.862789	−	0.505564i	$-0.831285\pi$
$257$		−	16.2096i		−	1.01113i	0.862789	−	0.505564i	$-0.168715\pi$
$258$	−1.98362	−	2.86810i	−0.123495	−	0.178560i
$259$	26.6316	−	13.1384i	1.65481	−	0.816381i
$260$	1.06095	−	2.81312i	0.0657970	−	0.174462i
$261$	0.563077	+	0.563077i	0.0348536	+	0.0348536i
$262$	−1.78141	+	9.77168i	−0.110056	+	0.603696i
$263$	19.7944			1.22057			0.610287	−	0.792181i	$-0.291054\pi$
$263$	19.7944			1.22057			0.610287	+	0.792181i	$0.291054\pi$
$264$	−0.689196	+	0.171895i	−0.0424171	+	0.0105794i
$265$	−0.0239399			−0.00147062
$266$	21.2181	+	11.7967i	1.30096	+	0.723300i
$267$	13.4868	−	13.4868i	0.825382	−	0.825382i
$268$	−9.66567	+	4.37162i	−0.590425	+	0.267039i
$269$	12.9634	+	12.9634i	0.790391	+	0.790391i	0.981558	−	0.191167i	$-0.0612272\pi$
$269$	12.9634	+	12.9634i	0.790391	+	0.790391i	−0.191167	+	0.981558i	$0.561227\pi$
$270$	−1.10394	+	0.763498i	−0.0671836	+	0.0464650i
$271$	−5.46458			−0.331950			−0.165975	−	0.986130i	$-0.553077\pi$
$271$	−5.46458			−0.331950			−0.165975	+	0.986130i	$0.553077\pi$
$272$	6.62917	−	7.53862i	0.401952	−	0.457096i
$273$	3.22668	−	9.51034i	0.195287	−	0.575592i
$274$	9.40654	+	13.6009i	0.568270	+	0.821659i
$275$	−0.0703262	−	0.0703262i	−0.00424083	−	0.00424083i
$276$	−5.63294	−	12.4545i	−0.339063	−	0.749671i
$277$	4.35299	+	4.35299i	0.261546	+	0.261546i	0.825682	−	0.564136i	$-0.190791\pi$
$277$	4.35299	+	4.35299i	0.261546	+	0.261546i	−0.564136	+	0.825682i	$0.690791\pi$
$278$	28.1677	+	5.13507i	1.68938	+	0.307981i
$279$			1.39306i			0.0834001i
$280$	−5.71036	+	4.83650i	−0.341260	+	0.289036i
$281$		−	4.12957i		−	0.246349i	−0.992385	−	0.123175i	$-0.960692\pi$
$281$		−	4.12957i		−	0.246349i	0.992385	−	0.123175i	$-0.0393076\pi$
$282$	0.523414	−	2.87111i	0.0311688	−	0.170972i
$283$	10.2581	+	10.2581i	0.609778	+	0.609778i	0.942888	−	0.333110i	$-0.108098\pi$
$283$	10.2581	+	10.2581i	0.609778	+	0.609778i	−0.333110	+	0.942888i	$0.608098\pi$
$284$	10.5846	−	28.0652i	0.628078	−	1.66536i
$285$	−11.5847	−	11.5847i	−0.686217	−	0.686217i
$286$	−0.173899	+	0.120271i	−0.0102829	+	0.00711177i
$287$	−5.24319	+	15.4538i	−0.309496	+	0.912211i
$288$	2.21444	−	18.9680i	0.130487	−	1.11770i
$289$	10.7015			0.629497
$290$	−0.189753	−	0.274363i	−0.0111427	−	0.0161112i
$291$	−29.1376	−	29.1376i	−1.70808	−	1.70808i
$292$	−11.1837	+	29.6538i	−0.654477	+	1.73536i
$293$	6.90025	−	6.90025i	0.403117	−	0.403117i	−0.476213	−	0.879330i	$-0.657991\pi$
$293$	6.90025	−	6.90025i	0.403117	−	0.403117i	0.879330	+	0.476213i	$0.157991\pi$
$294$	−18.5218	+	16.7863i	−1.08021	+	0.978997i
$295$	−9.09326			−0.529430
$296$	16.3485	−	27.2134i	0.950235	−	1.58175i
$297$	0.0943947			0.00547734
$298$	−33.3987	−	6.08872i	−1.93474	−	0.352710i
$299$	−2.87714	−	2.87714i	−0.166389	−	0.166389i
$300$	4.60135	−	2.08112i	0.265659	−	0.120153i
$301$	1.14311	+	2.31708i	0.0658876	+	0.133554i
$302$	−13.5483	+	9.37020i	−0.779619	+	0.539194i
$303$		−	21.5122i		−	1.23584i
$304$	25.8998	−	1.66255i	1.48545	−	0.0953539i
$305$	−6.22490			−0.356437
$306$	−9.85454	+	6.81552i	−0.563346	+	0.389617i
$307$	−13.8551	+	13.8551i	−0.790755	+	0.790755i	−0.981617	−	0.190862i	$-0.938872\pi$
$307$	−13.8551	+	13.8551i	−0.790755	+	0.790755i	0.190862	+	0.981617i	$0.438872\pi$
$308$	0.523766	−	0.0513127i	0.0298443	−	0.00292381i
$309$	9.44924	+	9.44924i	0.537549	+	0.537549i
$310$	0.104663	−	0.574114i	0.00594447	−	0.0326075i
$311$			22.7602i			1.29061i	0.763925	+	0.645305i	$0.223270\pi$
$311$			22.7602i			1.29061i	−0.763925	+	0.645305i	$0.776730\pi$
$312$	−2.59817	−	10.4171i	−0.147093	−	0.589752i
$313$	17.6504			0.997657			0.498828	−	0.866701i	$-0.333764\pi$
$313$	17.6504			0.997657			0.498828	+	0.866701i	$0.333764\pi$
$314$	−13.4174	−	2.44605i	−0.757190	−	0.138039i
$315$	8.01001	−	3.95165i	0.451313	−	0.222650i
$316$	0.768445	+	0.289813i	0.0432284	+	0.0163032i
$317$	5.01748	−	5.01748i	0.281810	−	0.281810i	−0.552021	−	0.833831i	$-0.686143\pi$
$317$	5.01748	−	5.01748i	0.281810	−	0.281810i	0.833831	+	0.552021i	$0.186143\pi$
$318$	−0.0703109	+	0.0486279i	−0.00394284	+	0.00272692i
$319$			0.0234600i			0.00131351i
$320$	−2.33773	+	7.65082i	−0.130683	+	0.427694i
$321$		−	35.9350i		−	2.00570i
$322$	2.77914	+	9.73874i	0.154875	+	0.542719i
$323$	−11.5142	−	11.5142i	−0.640668	−	0.640668i
$324$	5.45629	−	14.4675i	0.303127	−	0.803748i
$325$	1.06297	−	1.06297i	0.0589630	−	0.0589630i
$326$	9.79086	+	1.78491i	0.542265	+	0.0988571i
$327$		−	46.7263i		−	2.58397i
$328$	4.22190	+	16.9273i	0.233115	+	0.934651i
$329$	−0.694726	+	2.04764i	−0.0383015	+	0.112890i
$330$	−0.349396	−	0.0636962i	−0.0192336	−	0.00350636i
$331$	6.77902	−	6.77902i	0.372609	−	0.372609i	−0.495818	−	0.868427i	$-0.665132\pi$
$331$	6.77902	−	6.77902i	0.372609	−	0.372609i	0.868427	+	0.495818i	$0.165132\pi$
$332$	4.38601	+	9.69749i	0.240714	+	0.532219i
$333$	−26.7931	+	26.7931i	−1.46825	+	1.46825i
$334$	−0.331910	−	0.479908i	−0.0181613	−	0.0262594i
$335$	−5.30415			−0.289797
$336$	−6.94705	+	25.8038i	−0.378993	+	1.40771i
$337$	−20.8461			−1.13556			−0.567779	−	0.823181i	$-0.692197\pi$
$337$	−20.8461			−1.13556			−0.567779	+	0.823181i	$0.692197\pi$
$338$	8.63981	+	12.4923i	0.469944	+	0.679490i
$339$	−23.4590	+	23.4590i	−1.27412	+	1.27412i
$340$	4.57337	−	2.06846i	0.248026	−	0.112178i
$341$	−0.0290201	+	0.0290201i	−0.00157153	+	0.00157153i
$342$	−30.4741	−	5.55555i	−1.64785	−	0.300410i
$343$	15.3942	−	10.2965i	0.831210	−	0.555958i
$344$	2.36770	+	1.42240i	0.127658	+	0.0766905i
$345$		−	6.83454i		−	0.367959i
$346$	−10.1538	−	1.85107i	−0.545869	−	0.0995141i
$347$	−13.1727	+	13.1727i	−0.707146	+	0.707146i	−0.965934	−	0.258788i	$-0.916677\pi$
$347$	−13.1727	+	13.1727i	−0.707146	+	0.707146i	0.258788	+	0.965934i	$0.416677\pi$
$348$	−1.11460	−	0.420361i	−0.0597487	−	0.0225337i
$349$	20.1813	+	20.1813i	1.08028	+	1.08028i	0.996483	+	0.0837975i	$0.0267049\pi$
$349$	20.1813	+	20.1813i	1.08028	+	1.08028i	0.0837975	+	0.996483i	$0.473295\pi$
$350$	−3.59802	+	1.02676i	−0.192322	+	0.0548829i
$351$			1.42676i			0.0761550i
$352$	0.441273	−	0.349010i	0.0235199	−	0.0186023i
$353$		−	21.8630i		−	1.16365i	−0.813314	−	0.581825i	$-0.802339\pi$
$353$		−	21.8630i		−	1.16365i	0.813314	−	0.581825i	$-0.197661\pi$
$354$	−26.7066	+	18.4706i	−1.41944	+	0.981703i
$355$	10.6048	−	10.6048i	0.562843	−	0.562843i
$356$	−5.33104	+	14.1354i	−0.282545	+	0.749174i
$357$	15.0361	−	7.41791i	0.795797	−	0.392598i
$358$	24.9257	+	4.54405i	1.31736	+	0.240160i
$359$	−21.1907			−1.11840			−0.559200	−	0.829032i	$-0.688892\pi$
$359$	−21.1907			−1.11840			−0.559200	+	0.829032i	$0.688892\pi$
$360$	4.91714	−	8.18499i	0.259156	−	0.431387i
$361$		−	23.0976i		−	1.21567i
$362$	−2.59690	+	14.2449i	−0.136490	+	0.748694i
$363$	−19.6226	−	19.6226i	−1.02992	−	1.02992i
$364$	0.775584	+	7.91664i	0.0406516	+	0.414945i
$365$	−11.2050	+	11.2050i	−0.586499	+	0.586499i
$366$	−18.2824	+	12.6443i	−0.955634	+	0.660928i
$367$	−9.46718			−0.494183			−0.247091	−	0.968992i	$-0.579475\pi$
$367$	−9.46718			−0.494183			−0.247091	+	0.968992i	$0.579475\pi$
$368$	8.13039	+	7.14954i	0.423826	+	0.372696i
$369$		−	20.8225i		−	1.08398i
$370$	13.0551	−	9.02908i	0.678703	−	0.469400i
$371$	0.0568028	−	0.0280230i	0.00294905	−	0.00145488i
$372$	−0.858773	−	1.89875i	−0.0445253	−	0.0984457i
$373$	−2.20729	−	2.20729i	−0.114289	−	0.114289i	0.647649	−	0.761938i	$-0.275752\pi$
$373$	−2.20729	−	2.20729i	−0.114289	−	0.114289i	−0.761938	+	0.647649i	$0.775752\pi$
$374$	−0.347271	−	0.0633088i	−0.0179569	−	0.00327362i
$375$	2.52505			0.130393
$376$	0.559404	+	2.24287i	0.0288491	+	0.115667i
$377$	−0.354595			−0.0182626
$378$	1.72562	−	3.10379i	0.0887564	−	0.159642i
$379$	5.12226	−	5.12226i	0.263113	−	0.263113i	−0.563205	−	0.826317i	$-0.690432\pi$
$379$	5.12226	−	5.12226i	0.263113	−	0.263113i	0.826317	+	0.563205i	$0.190432\pi$
$380$	12.1417	+	4.57916i	0.622858	+	0.234906i
$381$	−31.0336	−	31.0336i	−1.58990	−	1.58990i
$382$	−7.60508	−	10.9962i	−0.389110	−	0.562613i
$383$	−29.9707			−1.53143			−0.765716	−	0.643179i	$-0.777615\pi$
$383$	−29.9707			−1.53143			−0.765716	+	0.643179i	$0.777615\pi$
$384$	8.67485	+	27.2187i	0.442686	+	1.38900i
$385$	0.249185	+	0.0845438i	0.0126997	+	0.00430875i
$386$	−7.41362	+	5.12735i	−0.377343	+	0.260975i
$387$	−2.33113	−	2.33113i	−0.118498	−	0.118498i
$388$	30.5387	+	11.5174i	1.55037	+	0.584709i
$389$	22.0266	+	22.0266i	1.11679	+	1.11679i	0.992209	+	0.124582i	$0.0397590\pi$
$389$	22.0266	+	22.0266i	1.11679	+	1.11679i	0.124582	+	0.992209i	$0.460241\pi$
$390$	0.962759	−	5.28107i	0.0487512	−	0.267417i
$391$		−	6.79297i		−	0.343535i
$392$	7.88771	−	18.1600i	0.398389	−	0.917216i
$393$			17.7347i			0.894597i
$394$	14.3068	+	2.60819i	0.720767	+	0.131399i
$395$	0.290366	+	0.290366i	0.0146099	+	0.0146099i
$396$	−0.611836	+	0.276723i	−0.0307459	+	0.0139058i
$397$	10.6623	+	10.6623i	0.535125	+	0.535125i	0.922093	−	0.386968i	$-0.126478\pi$
$397$	10.6623	+	10.6623i	0.535125	+	0.535125i	−0.386968	+	0.922093i	$0.626478\pi$
$398$	−4.29886	−	6.21571i	−0.215482	−	0.311565i
$399$	41.0477	+	13.9267i	2.05495	+	0.697207i
$400$	−2.64143	+	3.00381i	−0.132071	+	0.150190i
$401$	−24.9352			−1.24521			−0.622603	−	0.782538i	$-0.713925\pi$
$401$	−24.9352			−1.24521			−0.622603	+	0.782538i	$0.713925\pi$
$402$	−15.5781	+	10.7740i	−0.776967	+	0.537360i
$403$	−0.438635	−	0.438635i	−0.0218500	−	0.0218500i
$404$	7.02168	+	15.5250i	0.349341	+	0.772395i
$405$	5.46670	−	5.46670i	0.271643	−	0.271643i
$406$	0.771387	+	0.428871i	0.0382833	+	0.0212845i
$407$	−1.11631			−0.0553333
$408$	9.23030	−	15.3646i	0.456968	−	0.760662i
$409$	20.5944			1.01833			0.509163	−	0.860670i	$-0.329955\pi$
$409$	20.5944			1.01833			0.509163	+	0.860670i	$0.329955\pi$
$410$	−1.56444	+	8.58147i	−0.0772620	+	0.423809i
$411$	20.8782	+	20.8782i	1.02984	+	1.02984i
$412$	−9.90362	−	3.73507i	−0.487917	−	0.184014i
$413$	21.5758	−	10.6442i	1.06167	−	0.523765i
$414$	−7.35053	−	10.6281i	−0.361259	−	0.522342i
$415$			5.32162i			0.261228i
$416$	5.27524	+	6.66977i	0.258640	+	0.327012i
$417$	51.1217			2.50344
$418$	−0.519103	−	0.750569i	−0.0253902	−	0.0367115i
$419$	−3.70374	+	3.70374i	−0.180939	+	0.180939i	−0.791765	−	0.610826i	$-0.790838\pi$
$419$	−3.70374	+	3.70374i	−0.180939	+	0.180939i	0.610826	+	0.791765i	$0.290838\pi$
$420$	−8.48167	+	10.3240i	−0.413863	+	0.503762i
$421$	−17.7296	−	17.7296i	−0.864086	−	0.864086i	0.127724	−	0.991810i	$-0.459233\pi$
$421$	−17.7296	−	17.7296i	−0.864086	−	0.864086i	−0.991810	+	0.127724i	$0.959233\pi$
$422$	−15.9151	−	2.90139i	−0.774736	−	0.141237i
$423$		−	2.75899i		−	0.134147i
$424$	0.0348697	−	0.0580437i	0.00169342	−	0.00281885i
$425$	2.50969			0.121738
$426$	9.60500	−	52.6868i	0.465364	−	2.55268i
$427$	14.7700	−	7.28659i	0.714768	−	0.352623i
$428$	11.7293	+	25.9336i	0.566959	+	1.25355i
$429$	−0.266946	+	0.266946i	−0.0128883	+	0.0128883i
$430$	0.785575	+	1.13586i	0.0378838	+	0.0547760i
$431$		−	35.7191i		−	1.72053i	−0.509848	−	0.860265i	$-0.670298\pi$
$431$		−	35.7191i		−	1.72053i	0.509848	−	0.860265i	$-0.329702\pi$
$432$	−0.243199	−	3.78863i	−0.0117009	−	0.182281i
$433$			11.0602i			0.531520i	0.964039	+	0.265760i	$0.0856229\pi$
$433$			11.0602i			0.531520i	−0.964039	+	0.265760i	$0.914377\pi$
$434$	0.423695	+	1.48472i	0.0203380	+	0.0712691i
$435$	−0.421164	−	0.421164i	−0.0201933	−	0.0201933i
$436$	15.2517	+	33.7215i	0.730423	+	1.61497i
$437$	12.4180	−	12.4180i	0.594036	−	0.594036i
$438$	−10.1487	+	55.6691i	−0.484923	+	2.65997i
$439$			4.80803i			0.229475i	0.993396	+	0.114737i	$0.0366026\pi$
$439$			4.80803i			0.229475i	−0.993396	+	0.114737i	$0.963397\pi$
$440$	0.272943	−	0.0680760i	0.0130121	−	0.00324540i
$441$	−14.3799	+	18.7523i	−0.684757	+	0.892967i
$442$	0.956902	−	5.24894i	0.0455152	−	0.249667i
$443$	−11.2754	+	11.2754i	−0.535709	+	0.535709i	−0.922266	−	0.386557i	$-0.873664\pi$
$443$	−11.2754	+	11.2754i	−0.535709	+	0.535709i	0.386557	+	0.922266i	$0.373664\pi$
$444$	20.0022	−	53.0363i	0.949263	−	2.51699i
$445$	−5.34122	+	5.34122i	−0.253198	+	0.253198i
$446$	23.9294	−	16.5499i	1.13309	−	0.783661i
$447$	−60.6156			−2.86702
$448$	−3.40892	−	20.8897i	−0.161056	−	0.986945i
$449$	−25.1066			−1.18485			−0.592426	−	0.805625i	$-0.701830\pi$
$449$	−25.1066			−1.18485			−0.592426	+	0.805625i	$0.701830\pi$
$450$	3.92660	−	2.71568i	0.185102	−	0.128019i
$451$	0.433774	−	0.433774i	0.0204256	−	0.0204256i
$452$	9.27282	−	24.5871i	0.436157	−	1.15648i
$453$	−20.7975	+	20.7975i	−0.977152	+	0.977152i
$454$	−4.41718	+	24.2298i	−0.207309	+	1.13716i
$455$	−1.27787	+	3.76640i	−0.0599073	+	0.176571i
$456$	44.9613	−	11.2140i	2.10551	−	0.525144i
$457$			21.7097i			1.01554i	0.861494	+	0.507768i	$0.169529\pi$
$457$			21.7097i			1.01554i	−0.861494	+	0.507768i	$0.830471\pi$
$458$	5.17280	−	28.3746i	0.241709	−	1.32586i
$459$	−1.68430	+	1.68430i	−0.0786166	+	0.0786166i
$460$	2.23083	+	4.93236i	0.104013	+	0.229973i
$461$	27.3774	+	27.3774i	1.27509	+	1.27509i	0.943381	+	0.331712i	$0.107626\pi$
$461$	27.3774	+	27.3774i	1.27509	+	1.27509i	0.331712	+	0.943381i	$0.392374\pi$
$462$	0.903579	−	0.257854i	0.0420383	−	0.0119964i
$463$		−	4.16423i		−	0.193528i	−0.995307	−	0.0967641i	$-0.969151\pi$
$463$		−	4.16423i		−	0.193528i	0.995307	−	0.0967641i	$-0.0308492\pi$
$464$	0.941592	−	0.0604425i	0.0437123	−	0.00280597i
$465$		−	1.04196i		−	0.0483199i
$466$	−19.2222	−	27.7933i	−0.890451	−	1.28750i
$467$	14.9813	−	14.9813i	0.693250	−	0.693250i	−0.269695	−	0.962946i	$-0.586923\pi$
$467$	14.9813	−	14.9813i	0.693250	−	0.693250i	0.962946	+	0.269695i	$0.0869230\pi$
$468$	−4.18263	−	9.24780i	−0.193342	−	0.427480i
$469$	12.5853	−	6.20880i	0.581134	−	0.286696i
$470$	−0.207289	+	1.13705i	−0.00956151	+	0.0524482i
$471$	−24.3514			−1.12205
$472$	13.2448	−	22.0471i	0.609641	−	1.01480i
$473$		−	0.0971242i		−	0.00446578i
$474$	1.44260	+	0.262992i	0.0662608	+	0.0120796i
$475$	4.58790	+	4.58790i	0.210507	+	0.210507i
$476$	−8.43008	+	10.2612i	−0.386392	+	0.470323i
$477$	−0.0571472	+	0.0571472i	−0.00261659	+	0.00261659i
$478$	−12.0850	−	17.4736i	−0.552754	−	0.799225i
$479$	−6.50906			−0.297406			−0.148703	−	0.988882i	$-0.547510\pi$
$479$	−6.50906			−0.297406			−0.148703	+	0.988882i	$0.547510\pi$
$480$	−1.65633	+	14.1875i	−0.0756008	+	0.647567i
$481$		−	16.8728i		−	0.769334i
$482$	−1.45635	−	2.10573i	−0.0663349	−	0.0959134i
$483$	8.00020	+	16.2165i	0.364022	+	0.737874i
$484$	20.5662	+	7.75638i	0.934827	+	0.352563i
$485$	11.5394	+	11.5394i	0.523978	+	0.523978i
$486$	5.67351	−	31.1212i	0.257356	−	1.41169i
$487$	36.0662			1.63432			0.817158	−	0.576414i	$-0.195548\pi$
$487$	36.0662			1.63432			0.817158	+	0.576414i	$0.195548\pi$
$488$	9.06689	−	15.0926i	0.410439	−	0.683210i
$489$	17.7695			0.803564
$490$	7.33521	−	6.64791i	0.331371	−	0.300322i
$491$	−19.9630	+	19.9630i	−0.900920	+	0.900920i	−0.995516	−	0.0945960i	$-0.969844\pi$
$491$	−19.9630	+	19.9630i	−0.900920	+	0.900920i	0.0945960	+	0.995516i	$0.469844\pi$
$492$	12.8364	+	28.3813i	0.578709	+	1.27953i
$493$	−0.418602	−	0.418602i	−0.0188529	−	0.0188529i
$494$	11.3447	−	7.84617i	0.510424	−	0.353016i
$495$	−0.335752			−0.0150909
$496$	1.23952	+	1.08999i	0.0556562	+	0.0489418i
$497$	−12.7487	+	37.5756i	−0.571857	+	1.68550i
$498$	10.8095	+	15.6294i	0.484386	+	0.700372i
$499$	16.1714	+	16.1714i	0.723929	+	0.723929i	0.969403	−	0.245474i	$-0.0789436\pi$
$499$	16.1714	+	16.1714i	0.723929	+	0.723929i	−0.245474	+	0.969403i	$0.578944\pi$
$500$	−1.82228	+	0.824188i	−0.0814950	+	0.0368588i
$501$	−0.736687	−	0.736687i	−0.0329127	−	0.0329127i
$502$	−17.6157	−	3.21140i	−0.786225	−	0.143332i
$503$			25.1976i			1.12350i	0.827306	+	0.561752i	$0.189872\pi$
$503$			25.1976i			1.12350i	−0.827306	+	0.561752i	$0.810128\pi$
$504$	−2.08600	+	25.1765i	−0.0929180	+	1.12145i
$505$			8.51951i			0.379113i
$506$	0.0682783	−	0.374530i	0.00303534	−	0.0166499i
$507$	19.1764	+	19.1764i	0.851653	+	0.851653i
$508$	32.5259	+	12.2669i	1.44310	+	0.544255i
$509$	15.4434	+	15.4434i	0.684515	+	0.684515i	0.961014	−	0.276499i	$-0.0891743\pi$
$509$	15.4434	+	15.4434i	0.684515	+	0.684515i	−0.276499	+	0.961014i	$0.589174\pi$
$510$	7.37089	−	5.09780i	0.326388	−	0.225734i
$511$	13.4703	−	39.7026i	0.595892	−	1.75634i
$512$	−15.1448	−	16.8118i	−0.669312	−	0.742982i
$513$	−6.15807			−0.271885
$514$	13.0396	+	18.8539i	0.575153	+	0.831612i
$515$	−3.74220	−	3.74220i	−0.164901	−	0.164901i
$516$	4.61442	+	1.74029i	0.203139	+	0.0766121i
$517$	0.0574753	−	0.0574753i	0.00252776	−	0.00252776i
$518$	−20.4071	+	36.7052i	−0.896637	+	1.61273i
$519$	−18.4281			−0.808905
$520$	1.02896	+	4.12550i	0.0451228	+	0.180915i
$521$	−32.4120			−1.42000			−0.709998	−	0.704204i	$-0.751304\pi$
$521$	−32.4120			−1.42000			−0.709998	+	0.704204i	$0.751304\pi$
$522$	−1.10789	−	0.201973i	−0.0484912	−	0.00884013i
$523$	−17.7256	−	17.7256i	−0.775087	−	0.775087i	0.203904	−	0.978991i	$-0.434637\pi$
$523$	−17.7256	−	17.7256i	−0.775087	−	0.775087i	−0.978991	+	0.203904i	$0.934637\pi$
$524$	−5.78868	−	12.7988i	−0.252880	−	0.559118i
$525$	−5.99124	+	2.95571i	−0.261479	+	0.128998i
$526$	−23.0235	+	15.9233i	−1.00387	+	0.694291i
$527$		−	1.03562i		−	0.0451125i
$528$	0.663348	−	0.754352i	0.0288685	−	0.0328290i
$529$	−15.6738			−0.681470
$530$	0.0278454	−	0.0192582i	0.00120953	−	0.000836523i
$531$	−21.7066	+	21.7066i	−0.941985	+	0.941985i
$532$	−34.1691	+	3.34751i	−1.48142	+	0.145133i
$533$	6.55643	+	6.55643i	0.283991	+	0.283991i
$534$	−4.83768	+	26.5363i	−0.209347	+	1.14834i
$535$			14.2314i			0.615277i
$536$	7.72577	−	12.8602i	0.333702	−	0.555476i
$537$	45.2378			1.95215
$538$	−25.5064	−	4.64991i	−1.09966	−	0.200472i
$539$	−0.690210	+	0.0910861i	−0.0297294	+	0.00392336i
$540$	0.669842	−	1.77610i	0.0288254	−	0.0764312i
$541$	−6.61753	+	6.61753i	−0.284510	+	0.284510i	−0.834905	−	0.550395i	$-0.814477\pi$
$541$	−6.61753	+	6.61753i	−0.284510	+	0.284510i	0.550395	+	0.834905i	$0.314477\pi$
$542$	6.35604	−	4.39591i	0.273015	−	0.188821i
$543$			25.8531i			1.10946i
$544$	−1.64625	+	14.1012i	−0.0705826	+	0.604583i
$545$			18.5051i			0.792672i
$546$	3.89742	+	13.6575i	0.166794	+	0.584485i
$547$	−24.9955	−	24.9955i	−1.06873	−	1.06873i	−0.997457	−	0.0712747i	$-0.977293\pi$
$547$	−24.9955	−	24.9955i	−1.06873	−	1.06873i	−0.0712747	−	0.997457i	$-0.522707\pi$
$548$	−21.8821	−	8.25267i	−0.934758	−	0.352536i
$549$	−14.8595	+	14.8595i	−0.634188	+	0.634188i
$550$	0.138372	+	0.0252257i	0.00590020	+	0.00107563i
$551$		−	1.53047i		−	0.0652002i
$552$	16.5707	+	9.95485i	0.705296	+	0.423707i
$553$	−1.02885	−	0.349068i	−0.0437510	−	0.0148439i
$554$	−8.56482	−	1.56140i	−0.363884	−	0.0663375i
$555$	20.0404	−	20.0404i	0.850667	−	0.850667i
$556$	−36.8936	+	16.6864i	−1.56464	+	0.707659i
$557$	−16.5922	+	16.5922i	−0.703033	+	0.703033i	−0.965060	−	0.262027i	$-0.915609\pi$
$557$	−16.5922	+	16.5922i	−0.703033	+	0.703033i	0.262027	+	0.965060i	$0.415609\pi$
$558$	−1.12063	−	1.62031i	−0.0474400	−	0.0685933i
$559$	1.46802			0.0620906
$560$	2.75125	−	10.2191i	0.116262	−	0.431837i
$561$	−0.630264			−0.0266098
$562$	3.32198	+	4.80324i	0.140129	+	0.202612i
$563$	−4.54880	+	4.54880i	−0.191709	+	0.191709i	−0.796434	−	0.604725i	$-0.793283\pi$
$563$	−4.54880	+	4.54880i	−0.191709	+	0.191709i	0.604725	+	0.796434i	$0.293283\pi$
$564$	1.70083	+	3.76054i	0.0716177	+	0.158347i
$565$	9.29052	−	9.29052i	0.390855	−	0.390855i
$566$	−20.1835	−	3.67952i	−0.848374	−	0.154662i
$567$	−6.57188	+	19.3700i	−0.275993	+	0.813465i
$568$	10.2654	+	41.1582i	0.430729	+	1.72696i
$569$		−	3.91496i		−	0.164124i	−0.996627	−	0.0820619i	$-0.973849\pi$
$569$		−	3.91496i		−	0.164124i	0.996627	−	0.0820619i	$-0.0261505\pi$
$570$	22.7937	+	4.15538i	0.954722	+	0.174050i
$571$	23.8199	−	23.8199i	0.996831	−	0.996831i	−0.00316410	−	0.999995i	$-0.501007\pi$
$571$	23.8199	−	23.8199i	0.996831	−	0.996831i	0.999995	+	0.00316410i	$0.00100717\pi$
$572$	0.105518	−	0.279783i	0.00441192	−	0.0116983i
$573$	−16.8798	−	16.8798i	−0.705162	−	0.705162i
$574$	−6.33311	−	22.1927i	−0.264339	−	0.926305i
$575$			2.70670i			0.112877i
$576$	12.6829	+	23.8437i	0.528454	+	0.993488i
$577$			40.1244i			1.67040i	0.549946	+	0.835200i	$0.314648\pi$
$577$			40.1244i			1.67040i	−0.549946	+	0.835200i	$0.685352\pi$
$578$	−12.4472	+	8.60866i	−0.517736	+	0.358073i
$579$	−11.3804	+	11.3804i	−0.472951	+	0.472951i
$580$	0.441416	+	0.166476i	0.0183288	+	0.00691256i
$581$	−6.22924	−	12.6267i	−0.258433	−	0.523844i
$582$	57.3303	+	10.4515i	2.37642	+	0.433230i
$583$	−0.00238098			−9.86101e−5
$584$	−10.8465	−	43.4880i	−0.448832	−	1.79954i
$585$		−	5.07485i		−	0.209819i
$586$	−2.47509	+	13.5767i	−0.102245	+	0.560850i
$587$	−16.7702	−	16.7702i	−0.692180	−	0.692180i	0.270531	−	0.962711i	$-0.412801\pi$
$587$	−16.7702	−	16.7702i	−0.692180	−	0.692180i	−0.962711	+	0.270531i	$0.912801\pi$
$588$	8.03977	−	34.4243i	0.331555	−	1.41964i
$589$	1.89320	−	1.89320i	0.0780079	−	0.0780079i
$590$	10.5767	−	7.31496i	0.435435	−	0.301152i
$591$	25.9655			1.06808
$592$	2.87606	+	44.8041i	0.118205	+	1.84144i
$593$			2.50323i			0.102795i	0.998678	+	0.0513976i	$0.0163676\pi$
$593$			2.50323i			0.102795i	−0.998678	+	0.0513976i	$0.983632\pi$
$594$	−0.109794	+	0.0759347i	−0.00450489	+	0.00311564i
$595$	−5.95479	+	2.93773i	−0.244123	+	0.120435i
$596$	43.7452	−	19.7852i	1.79187	−	0.810434i
$597$	−9.54149	−	9.54149i	−0.390507	−	0.390507i
$598$	5.66097	+	1.03202i	0.231494	+	0.0422023i
$599$	38.9264			1.59049			0.795244	−	0.606289i	$-0.207343\pi$
$599$	38.9264			1.59049			0.795244	+	0.606289i	$0.207343\pi$
$600$	−3.67786	+	6.12212i	−0.150148	+	0.249934i
$601$	−42.0261			−1.71428			−0.857141	−	0.515082i	$-0.827761\pi$
$601$	−42.0261			−1.71428			−0.857141	+	0.515082i	$0.827761\pi$
$602$	−3.19354	−	1.77552i	−0.130159	−	0.0723648i
$603$	−12.6616	+	12.6616i	−0.515619	+	0.515619i
$604$	8.22078	−	21.7976i	0.334499	−	0.886931i
$605$	7.77118	+	7.77118i	0.315943	+	0.315943i
$606$	17.3052	+	25.0215i	0.702976	+	1.01643i
$607$	−11.8025			−0.479049			−0.239525	−	0.970890i	$-0.576992\pi$
$607$	−11.8025			−0.479049			−0.239525	+	0.970890i	$0.576992\pi$
$608$	−28.7875	+	22.7685i	−1.16749	+	0.923386i
$609$	1.49230	+	0.506308i	0.0604710	+	0.0205167i
$610$	7.24039	−	5.00755i	0.293155	−	0.202750i
$611$	0.868731	+	0.868731i	0.0351451	+	0.0351451i
$612$	5.97948	−	15.8547i	0.241706	−	0.640889i
$613$	5.34258	+	5.34258i	0.215785	+	0.215785i	0.806719	−	0.590935i	$-0.201241\pi$
$613$	5.34258	+	5.34258i	0.215785	+	0.215785i	−0.590935	+	0.806719i	$0.701241\pi$
$614$	4.96978	−	27.2610i	0.200564	−	1.10016i
$615$			15.5746i			0.628028i
$616$	−0.567932	+	0.481021i	−0.0228826	+	0.0193809i
$617$			8.22219i			0.331013i	0.986209	+	0.165506i	$0.0529259\pi$
$617$			8.22219i			0.331013i	−0.986209	+	0.165506i	$0.947074\pi$
$618$	−18.5921	−	3.38940i	−0.747882	−	0.136342i
$619$	−13.4184	−	13.4184i	−0.539333	−	0.539333i	0.384000	−	0.923333i	$-0.374546\pi$
$619$	−13.4184	−	13.4184i	−0.539333	−	0.539333i	−0.923333	+	0.384000i	$0.874546\pi$
$620$	0.340101	+	0.751966i	0.0136588	+	0.0301997i
$621$	−1.81652	−	1.81652i	−0.0728944	−	0.0728944i
$622$	−18.3091	−	26.4731i	−0.734130	−	1.06148i
$623$	6.42103	−	18.9254i	0.257253	−	0.758230i
$624$	11.4019	+	10.0264i	0.456442	+	0.401377i
$625$	−1.00000			−0.0400000
$626$	−20.5297	+	14.1986i	−0.820532	+	0.567491i
$627$	−1.15217	−	1.15217i	−0.0460132	−	0.0460132i
$628$	17.5740	−	7.94841i	0.701278	−	0.317176i
$629$	19.9185	−	19.9185i	0.794202	−	0.794202i
$630$	−6.13786	+	11.0399i	−0.244538	+	0.439838i
$631$	12.8354			0.510971			0.255486	−	0.966813i	$-0.417765\pi$
$631$	12.8354			0.510971			0.255486	+	0.966813i	$0.417765\pi$
$632$	−1.12694	+	0.281075i	−0.0448273	+	0.0111806i
$633$	−28.8845			−1.14805
$634$	−1.79975	+	9.87226i	−0.0714772	+	0.392077i
$635$	12.2903	+	12.2903i	0.487725	+	0.487725i
$636$	0.0426629	−	0.113122i	0.00169169	−	0.00448556i
$637$	−1.37675	−	10.4324i	−0.0545489	−	0.413348i
$638$	−0.0188721	−	0.0272871i	−0.000747154	−	0.00108031i
$639$		−	50.6294i		−	2.00287i
$640$	−3.43552	−	10.7795i	−0.135801	−	0.426096i
$641$	5.60861			0.221527			0.110763	−	0.993847i	$-0.464670\pi$
$641$	5.60861			0.221527			0.110763	+	0.993847i	$0.464670\pi$
$642$	28.9075	+	41.7972i	1.14089	+	1.64960i
$643$	31.7453	−	31.7453i	1.25191	−	1.25191i	0.297052	−	0.954861i	$-0.403997\pi$
$643$	31.7453	−	31.7453i	1.25191	−	1.25191i	0.954861	−	0.297052i	$-0.0960035\pi$
$644$	−11.0667	−	9.09182i	−0.436090	−	0.358268i
$645$	1.74361	+	1.74361i	0.0686547	+	0.0686547i
$646$	22.6550	+	4.13010i	0.891350	+	0.162497i
$647$		−	32.4679i		−	1.27644i	−0.769853	−	0.638222i	$-0.779670\pi$
$647$		−	32.4679i		−	1.27644i	0.769853	−	0.638222i	$-0.220330\pi$
$648$	5.29179	+	21.2168i	0.207881	+	0.833476i
$649$	−0.904382			−0.0355001
$650$	−0.381283	+	2.09147i	−0.0149552	+	0.0820342i
$651$	1.21967	+	2.47229i	0.0478028	+	0.0968965i
$652$	−12.8239	+	5.80004i	−0.502224	+	0.227147i
$653$	10.2586	−	10.2586i	0.401451	−	0.401451i	−0.477293	−	0.878744i	$-0.658382\pi$
$653$	10.2586	−	10.2586i	0.401451	−	0.401451i	0.878744	+	0.477293i	$0.158382\pi$
$654$	37.5884	+	54.3490i	1.46982	+	2.12521i
$655$		−	7.02350i		−	0.274431i
$656$	−18.5276	−	16.2924i	−0.723380	−	0.636112i
$657$			53.4953i			2.08705i
$658$	−0.839141	−	2.94054i	−0.0327131	−	0.114634i
$659$	−14.0257	−	14.0257i	−0.546364	−	0.546364i	0.379023	−	0.925387i	$-0.376260\pi$
$659$	−14.0257	−	14.0257i	−0.546364	−	0.546364i	−0.925387	+	0.379023i	$0.876260\pi$
$660$	0.457634	−	0.206980i	0.0178134	−	0.00805669i
$661$	−20.0421	+	20.0421i	−0.779547	+	0.779547i	−0.979754	−	0.200206i	$-0.935839\pi$
$661$	−20.0421	+	20.0421i	−0.779547	+	0.779547i	0.200206	+	0.979754i	$0.435839\pi$
$662$	−2.43161	+	13.3382i	−0.0945071	+	0.518404i
$663$		−	9.52634i		−	0.369973i
$664$	−12.9025	−	7.75120i	−0.500716	−	0.300805i
$665$	−16.2562	−	5.51542i	−0.630388	−	0.213879i
$666$	9.61057	−	52.7173i	0.372402	−	2.04275i
$667$	0.451461	−	0.451461i	0.0174806	−	0.0174806i
$668$	0.772112	+	0.291196i	0.0298739	+	0.0112667i
$669$	36.7331	−	36.7331i	1.42018	−	1.42018i
$670$	6.16944	−	4.26686i	0.238346	−	0.164843i
$671$	−0.619106			−0.0239003
$672$	−12.6772	−	35.6018i	−0.489034	−	1.37337i
$673$	4.44272			0.171254			0.0856272	−	0.996327i	$-0.472711\pi$
$673$	4.44272			0.171254			0.0856272	+	0.996327i	$0.472711\pi$
$674$	24.2468	−	16.7694i	0.933951	−	0.645932i
$675$	0.671121	−	0.671121i	0.0258314	−	0.0258314i
$676$	−20.0985	−	7.57999i	−0.773020	−	0.291538i
$677$	28.0949	−	28.0949i	1.07977	−	1.07977i	0.0832446	−	0.996529i	$-0.473472\pi$
$677$	28.0949	−	28.0949i	1.07977	−	1.07977i	0.996529	−	0.0832446i	$-0.0265283\pi$
$678$	8.41465	−	46.1573i	0.323163	−	1.77266i
$679$	−40.8873	−	13.8723i	−1.56911	−	0.532370i
$680$	−3.65549	+	6.08488i	−0.140182	+	0.233344i
$681$			43.9748i			1.68512i
$682$	0.0104094	−	0.0570992i	0.000398597	−	0.00218644i
$683$	−21.9011	+	21.9011i	−0.838021	+	0.838021i	−0.988598	−	0.150577i	$-0.951887\pi$
$683$	−21.9011	+	21.9011i	−0.838021	+	0.838021i	0.150577	+	0.988598i	$0.451887\pi$
$684$	39.9146	−	18.0527i	1.52617	−	0.690262i
$685$	−8.26842	−	8.26842i	−0.315920	−	0.315920i
$686$	−9.62267	+	24.3599i	−0.367395	+	0.930065i
$687$		−	51.4973i		−	1.96474i
$688$	−3.89818	+	0.250231i	−0.148617	+	0.00953998i
$689$		−	0.0359881i		−	0.00137104i
$690$	5.49796	+	7.94948i	0.209304	+	0.302632i
$691$	3.18326	−	3.18326i	0.121097	−	0.121097i	−0.643961	−	0.765058i	$-0.722710\pi$
$691$	3.18326	−	3.18326i	0.121097	−	0.121097i	0.765058	+	0.643961i	$0.222710\pi$
$692$	13.2992	−	6.01503i	0.505562	−	0.228657i
$693$	0.796646	−	0.393016i	0.0302621	−	0.0149295i
$694$	4.72498	−	25.9182i	0.179358	−	0.983840i
$695$	−20.2458			−0.767968
$696$	1.63458	−	0.407688i	0.0619586	−	0.0154534i
$697$			15.4798i			0.586341i
$698$	−39.7082	−	7.23895i	−1.50298	−	0.273998i
$699$	−42.6644	−	42.6644i	−1.61371	−	1.61371i
$700$	3.35901	−	4.08865i	0.126959	−	0.154536i
$701$	−18.5095	+	18.5095i	−0.699092	+	0.699092i	−0.964215	−	0.265122i	$-0.914588\pi$
$701$	−18.5095	+	18.5095i	−0.699092	+	0.699092i	0.265122	+	0.964215i	$0.414588\pi$
$702$	−1.14774	−	1.65952i	−0.0433187	−	0.0626344i
$703$	72.8249			2.74664
$704$	−0.232502	+	0.760922i	−0.00876275	+	0.0286783i
$705$			2.06364i			0.0777212i
$706$	17.5874	+	25.4296i	0.661911	+	0.957055i
$707$	−9.97255	−	20.2144i	−0.375056	−	0.760241i
$708$	16.2049	−	42.9676i	0.609017	−	1.61482i
$709$	−31.6483	−	31.6483i	−1.18858	−	1.18858i	−0.977462	−	0.211114i	$-0.932291\pi$
$709$	−31.6483	−	31.6483i	−1.18858	−	1.18858i	−0.211114	−	0.977462i	$-0.567709\pi$
$710$	−3.80389	+	20.8656i	−0.142757	+	0.783073i
$711$	1.38627			0.0519891
$712$	−5.17032	−	20.7298i	−0.193766	−	0.776883i
$713$	1.11692			0.0418289
$714$	−11.5218	+	20.7237i	−0.431193	+	0.775564i
$715$	0.105719	−	0.105719i	0.00395367	−	0.00395367i
$716$	−32.6473	+	14.7658i	−1.22009	+	0.551825i
$717$	−26.8231	−	26.8231i	−1.00173	−	1.00173i
$718$	24.6476	−	17.0466i	0.919840	−	0.636173i
$719$	46.1237			1.72012			0.860062	−	0.510190i	$-0.170425\pi$
$719$	46.1237			1.72012			0.860062	+	0.510190i	$0.170425\pi$
$720$	0.865034	+	13.4758i	0.0322379	+	0.502212i
$721$	13.2596	+	4.49875i	0.493815	+	0.167542i
$722$	18.5806	+	26.8657i	0.691499	+	0.999836i
$723$	−3.23242	−	3.23242i	−0.120215	−	0.120215i
$724$	−8.43858	−	18.6577i	−0.313617	−	0.693409i
$725$	0.166794	+	0.166794i	0.00619458	+	0.00619458i
$726$	38.6089	+	7.03855i	1.43291	+	0.261225i
$727$			6.75173i			0.250408i	0.992131	+	0.125204i	$0.0399585\pi$
$727$			6.75173i			0.250408i	−0.992131	+	0.125204i	$0.960041\pi$
$728$	−7.27055	−	8.58420i	−0.269465	−	0.318152i
$729$		−	33.2888i		−	1.23292i
$730$	4.01920	−	22.0467i	0.148757	−	0.815986i
$731$	1.73301	+	1.73301i	0.0640976	+	0.0640976i
$732$	11.0933	−	29.4140i	0.410019	−	1.08717i
$733$	−19.2989	−	19.2989i	−0.712821	−	0.712821i	0.254304	−	0.967124i	$-0.418154\pi$
$733$	−19.2989	−	19.2989i	−0.712821	−	0.712821i	−0.967124	+	0.254304i	$0.918154\pi$
$734$	11.0116	−	7.61576i	0.406446	−	0.281103i
$735$	10.7557	−	14.0261i	0.396730	−	0.517362i
$736$	−15.2081	−	1.77548i	−0.560578	−	0.0654451i
$737$	−0.527532			−0.0194319
$738$	16.7504	+	24.2193i	0.616591	+	0.891527i
$739$	17.5826	+	17.5826i	0.646785	+	0.646785i	0.952215	−	0.305430i	$-0.0988001\pi$
$739$	17.5826	+	17.5826i	0.646785	+	0.646785i	−0.305430	+	0.952215i	$0.598800\pi$
$740$	−7.92151	+	21.0041i	−0.291201	+	0.772125i
$741$	17.4149	−	17.4149i	0.639751	−	0.639751i
$742$	−0.0435265	+	0.0782888i	−0.00159791	+	0.00287407i
$743$	−39.4758			−1.44823			−0.724113	−	0.689681i	$-0.757751\pi$
$743$	−39.4758			−1.44823			−0.724113	+	0.689681i	$0.757751\pi$
$744$	2.52629	+	1.51767i	0.0926185	+	0.0556405i
$745$	24.0057			0.879501
$746$	4.34299	+	0.791745i	0.159008	+	0.0289878i
$747$	12.7033	+	12.7033i	0.464788	+	0.464788i
$748$	0.454850	−	0.205721i	0.0166310	−	0.00752190i
$749$	−16.6586	−	33.7671i	−0.608693	−	1.23382i
$750$	−2.93697	+	2.03125i	−0.107243	+	0.0741706i
$751$			33.5961i			1.22594i	0.790107	+	0.612970i	$0.210025\pi$
$751$			33.5961i			1.22594i	−0.790107	+	0.612970i	$0.789975\pi$
$752$	−2.45491	−	2.15875i	−0.0895214	−	0.0787216i
$753$	−31.9708			−1.16508
$754$	0.412441	−	0.285249i	0.0150202	−	0.0103882i
$755$	8.23647	−	8.23647i	0.299756	−	0.299756i
$756$	0.489675	+	4.99828i	0.0178093	+	0.181786i
$757$	−0.530996	−	0.530996i	−0.0192994	−	0.0192994i	0.697391	−	0.716691i	$-0.254344\pi$
$757$	−0.530996	−	0.530996i	−0.0192994	−	0.0192994i	−0.716691	+	0.697391i	$0.754344\pi$
$758$	−1.83733	+	10.0784i	−0.0667349	+	0.366064i
$759$		−	0.679738i		−	0.0246729i
$760$	−17.8061	+	4.44110i	−0.645896	+	0.161096i
$761$	24.0667			0.872418			0.436209	−	0.899845i	$-0.356321\pi$
$761$	24.0667			0.872418			0.436209	+	0.899845i	$0.356321\pi$
$762$	61.0608	+	11.1316i	2.21200	+	0.403256i
$763$	−21.6612	−	43.9075i	−0.784190	−	1.58956i
$764$	17.6915	+	6.67219i	0.640054	+	0.241391i
$765$	5.99089	−	5.99089i	0.216601	−	0.216601i
$766$	34.8599	−	24.1096i	1.25954	−	0.871114i
$767$		−	13.6696i		−	0.493580i
$768$	−31.9858	−	24.6806i	−1.15419	−	0.890586i
$769$		−	21.9377i		−	0.791093i	−0.918446	−	0.395546i	$-0.870555\pi$
$769$		−	21.9377i		−	0.791093i	0.918446	−	0.395546i	$-0.129445\pi$
$770$	−0.357846	+	0.102118i	−0.0128959	+	0.00368009i
$771$	28.9419	+	28.9419i	1.04232	+	1.04232i
$772$	4.49840	−	11.9276i	0.161901	−	0.429284i
$773$	−12.8103	+	12.8103i	−0.460755	+	0.460755i	−0.898903	−	0.438148i	$-0.855635\pi$
$773$	−12.8103	+	12.8103i	−0.460755	+	0.460755i	0.438148	+	0.898903i	$0.355635\pi$
$774$	4.58667	+	0.836167i	0.164864	+	0.0300554i
$775$			0.412650i			0.0148228i
$776$	−44.7857	+	11.1702i	−1.60771	+	0.400987i
$777$	−24.0919	+	71.0086i	−0.864291	+	2.54742i
$778$	−43.3388	−	7.90084i	−1.55377	−	0.283259i
$779$	−28.2983	+	28.2983i	−1.01389	+	1.01389i
$780$	3.12847	+	6.91707i	0.112017	+	0.247671i
$781$	1.05471	−	1.05471i	0.0377405	−	0.0377405i
$782$	5.46452	+	7.90113i	0.195411	+	0.282544i
$783$	−0.223878			−0.00800075
$784$	5.43410	+	27.4676i	0.194075	+	0.980987i
$785$	9.64393			0.344207
$786$	−14.2665	−	20.6278i	−0.508868	−	0.735770i
$787$	3.80179	−	3.80179i	0.135519	−	0.135519i	−0.636093	−	0.771612i	$-0.719451\pi$
$787$	3.80179	−	3.80179i	0.135519	−	0.135519i	0.771612	+	0.636093i	$0.219451\pi$
$788$	−18.7389	+	8.47527i	−0.667544	+	0.301919i
$789$	−35.3425	+	35.3425i	−1.25822	+	1.25822i
$790$	−0.571316	−	0.104153i	−0.0203265	−	0.00370560i
$791$	−11.1687	+	32.9189i	−0.397115	+	1.17046i
$792$	0.489040	−	0.814049i	0.0173773	−	0.0289260i
$793$		−	9.35769i		−	0.332301i
$794$	−20.9788	−	3.82452i	−0.744511	−	0.135727i
$795$	0.0427443	−	0.0427443i	0.00151598	−	0.00151598i
$796$	10.0003	+	3.77153i	0.354451	+	0.133678i
$797$	18.0285	+	18.0285i	0.638601	+	0.638601i	0.950210	−	0.311610i	$-0.100868\pi$
$797$	18.0285	+	18.0285i	0.638601	+	0.638601i	−0.311610	+	0.950210i	$0.600868\pi$
$798$	−58.9471	+	16.8217i	−2.08671	+	0.595482i
$799$			2.05109i			0.0725622i
$800$	0.655959	−	5.61869i	0.0231917	−	0.198651i
$801$			25.5001i			0.901002i
$802$	29.0030	−	20.0588i	1.02413	−	0.708302i
$803$	−1.11441	+	1.11441i	−0.0393268	+	0.0393268i
$804$	9.45242	−	25.0633i	0.333361	−	0.883914i
$805$	−3.16833	−	6.42223i	−0.111669	−	0.226354i
$806$	0.863046	+	0.157337i	0.0303995	+	0.00554195i
$807$	−46.2917			−1.62954
$808$	−20.6560	−	12.4091i	−0.726676	−	0.436550i
$809$		−	0.874043i		−	0.0307297i	−0.999882	−	0.0153649i	$-0.995109\pi$
$809$		−	0.874043i		−	0.0307297i	0.999882	−	0.0153649i	$-0.00489098\pi$
$810$	−1.96088	+	10.7561i	−0.0688984	+	0.377932i
$811$	−36.6436	−	36.6436i	−1.28673	−	1.28673i	−0.936761	−	0.349970i	$-0.886192\pi$
$811$	−36.6436	−	36.6436i	−1.28673	−	1.28673i	−0.349970	−	0.936761i	$-0.613808\pi$
$812$	−1.24223	+	0.121699i	−0.0435936	+	0.00427081i
$813$	9.75690	−	9.75690i	0.342189	−	0.342189i
$814$	1.29841	−	0.897999i	0.0455094	−	0.0314749i
$815$	−7.03729			−0.246505
$816$	1.62381	+	25.2963i	0.0568449	+	0.885548i
$817$			6.33613i			0.221673i
$818$	−23.9540	+	16.5669i	−0.837532	+	0.579248i
$819$	5.94038	+	12.0412i	0.207574	+	0.420753i
$820$	−5.08361	−	11.2399i	−0.177527	−	0.392514i
$821$	20.2505	+	20.2505i	0.706747	+	0.706747i	0.965850	−	0.259103i	$-0.0834269\pi$
$821$	20.2505	+	20.2505i	0.706747	+	0.706747i	−0.259103	+	0.965850i	$0.583427\pi$
$822$	−41.0793	−	7.48891i	−1.43280	−	0.261206i
$823$	−17.3081			−0.603323			−0.301662	−	0.953415i	$-0.597541\pi$
$823$	−17.3081			−0.603323			−0.301662	+	0.953415i	$0.597541\pi$
$824$	14.5239	−	3.62246i	0.505963	−	0.126194i
$825$	0.251132			0.00874330
$826$	−16.5329	+	29.7369i	−0.575254	+	1.03468i
$827$	8.03881	−	8.03881i	0.279537	−	0.279537i	−0.553387	−	0.832924i	$-0.686665\pi$
$827$	8.03881	−	8.03881i	0.279537	−	0.279537i	0.832924	+	0.553387i	$0.186665\pi$
$828$	17.0993	+	6.44886i	0.594241	+	0.224113i
$829$	10.6662	+	10.6662i	0.370451	+	0.370451i	0.867641	−	0.497190i	$-0.165635\pi$
$829$	10.6662	+	10.6662i	0.370451	+	0.370451i	−0.497190	+	0.867641i	$0.665635\pi$
$830$	−4.28091	−	6.18975i	−0.148593	−	0.214849i
$831$	−15.5444			−0.539228
$832$	−11.5012	−	3.51423i	−0.398733	−	0.121834i
$833$	10.6903	−	13.9408i	0.370396	−	0.483021i
$834$	−59.4614	+	41.1242i	−2.05898	+	1.42402i
$835$	0.291751	+	0.291751i	0.0100965	+	0.0100965i
$836$	1.20757	+	0.455426i	0.0417648	+	0.0157512i
$837$	−0.276938	−	0.276938i	−0.00957238	−	0.00957238i
$838$	1.32851	−	7.28736i	0.0458928	−	0.251738i
$839$			27.4218i			0.946704i	0.880873	+	0.473352i	$0.156956\pi$
$839$			27.4218i			0.946704i	−0.880873	+	0.473352i	$0.843044\pi$
$840$	1.56026	−	18.8312i	0.0538343	−	0.649739i
$841$			28.9444i			0.998081i
$842$	34.8842	+	6.35952i	1.20219	+	0.219164i
$843$	7.37326	+	7.37326i	0.253949	+	0.253949i
$844$	20.8454	−	9.42802i	0.717528	−	0.324526i
$845$	−7.59446	−	7.59446i	−0.261257	−	0.261257i
$846$	2.21944	+	3.20908i	0.0763058	+	0.110330i
$847$	−27.5354	−	9.34225i	−0.946129	−	0.321003i
$848$	0.00613436	+	0.0955631i	0.000210655	+	0.00328165i
$849$	−36.6311			−1.25718
$850$	−2.91910	+	2.01889i	−0.100124	+	0.0692473i
$851$	21.4820	+	21.4820i	0.736395	+	0.736395i
$852$	31.2113	+	69.0084i	1.06928	+	2.36419i
$853$	6.88948	−	6.88948i	0.235891	−	0.235891i	−0.579255	−	0.815146i	$-0.696656\pi$
$853$	6.88948	−	6.88948i	0.235891	−	0.235891i	0.815146	+	0.579255i	$0.196656\pi$
$854$	−11.3178	+	20.3568i	−0.387288	+	0.696595i
$855$	21.9036			0.749087
$856$	−34.5048	−	20.7287i	−1.17935	−	0.708494i
$857$	−2.51601			−0.0859451			−0.0429726	−	0.999076i	$-0.513683\pi$
$857$	−2.51601			−0.0859451			−0.0429726	+	0.999076i	$0.513683\pi$
$858$	0.0957524	−	0.525235i	0.00326893	−	0.0179312i
$859$	26.2967	+	26.2967i	0.897231	+	0.897231i	0.995190	−	0.0979594i	$-0.0312315\pi$
$859$	26.2967	+	26.2967i	0.897231	+	0.897231i	−0.0979594	+	0.995190i	$0.531232\pi$
$860$	−1.82746	−	0.689211i	−0.0623158	−	0.0235019i
$861$	−18.2309	−	36.9541i	−0.621307	−	1.25939i
$862$	28.7338	+	41.5461i	0.978677	+	1.41507i
$863$		−	21.3047i		−	0.725221i	−0.931941	−	0.362611i	$-0.881886\pi$
$863$		−	21.3047i		−	0.725221i	0.931941	−	0.362611i	$-0.118114\pi$
$864$	3.33059	+	4.21105i	0.113309	+	0.143263i
$865$	7.29813			0.248144
$866$	−8.89726	−	12.8645i	−0.302341	−	0.437154i
$867$	−19.1072	+	19.1072i	−0.648916	+	0.648916i
$868$	−1.68718	−	1.38610i	−0.0572667	−	0.0470472i
$869$	0.0288787	+	0.0288787i	0.000979643	+	0.000979643i
$870$	0.828670	+	0.151070i	0.0280945	+	0.00512174i
$871$		−	7.97356i		−	0.270174i
$872$	−44.8666	−	26.9536i	−1.51938	−	0.912765i
$873$	55.0916			1.86457
$874$	−4.45430	+	24.4334i	−0.150669	+	0.826472i
$875$	2.37272	−	1.17055i	0.0802126	−	0.0395720i
$876$	−32.9780	−	72.9146i	−1.11422	−	2.46356i
$877$	11.7170	−	11.7170i	0.395655	−	0.395655i	−0.481043	−	0.876697i	$-0.659742\pi$
$877$	11.7170	−	11.7170i	0.395655	−	0.395655i	0.876697	+	0.481043i	$0.159742\pi$
$878$	−3.86776	−	5.59238i	−0.130531	−	0.188734i
$879$			24.6405i			0.831105i
$880$	−0.262707	+	0.298747i	−0.00885584	+	0.0100708i
$881$			0.972466i			0.0327632i	0.999866	+	0.0163816i	$0.00521466\pi$
$881$			0.972466i			0.0327632i	−0.999866	+	0.0163816i	$0.994785\pi$
$882$	1.64067	−	33.3792i	0.0552443	−	1.12394i
$883$	5.81134	+	5.81134i	0.195567	+	0.195567i	0.798097	−	0.602529i	$-0.205840\pi$
$883$	5.81134	+	5.81134i	0.195567	+	0.195567i	−0.602529	+	0.798097i	$0.705840\pi$
$884$	3.10944	+	6.87499i	0.104582	+	0.231231i
$885$	16.2358	−	16.2358i	0.545761	−	0.545761i
$886$	4.04443	−	22.1851i	0.135875	−	0.745323i
$887$		−	33.3171i		−	1.11868i	−0.828938	−	0.559340i	$-0.811055\pi$
$887$		−	33.3171i		−	1.11868i	0.828938	−	0.559340i	$-0.188945\pi$
$888$	19.3992	+	77.7788i	0.650993	+	2.61009i
$889$	−43.5479	−	14.7750i	−1.46055	−	0.495536i
$890$	1.91587	−	10.5092i	0.0642202	−	0.352270i
$891$	0.543698	−	0.543698i	0.0182146	−	0.0182146i
$892$	−14.5198	+	38.4995i	−0.486158	+	1.28906i
$893$	−3.74954	+	3.74954i	−0.125474	+	0.125474i
$894$	70.5041	−	48.7615i	2.35801	−	1.63083i
$895$	−17.9156			−0.598853
$896$	20.7695	+	21.5552i	0.693860	+	0.720110i
$897$	10.2741			0.343044
$898$	29.2023	−	20.1967i	0.974493	−	0.673971i
$899$	0.0688277	−	0.0688277i	0.00229553	−	0.00229553i
$900$	−2.38256	+	6.31740i	−0.0794186	+	0.210580i
$901$	0.0424843	−	0.0424843i	0.00141536	−	0.00141536i
$902$	−0.155593	+	0.853481i	−0.00518068	+	0.0284178i
$903$	−6.17810	−	2.09611i	−0.205594	−	0.0697542i
$904$	8.99325	+	36.0575i	0.299111	+	1.19925i
$905$		−	10.2387i		−	0.340345i
$906$	7.45998	−	40.9206i	0.247841	−	1.35950i
$907$	12.6037	−	12.6037i	0.418497	−	0.418497i	−0.466188	−	0.884686i	$-0.654373\pi$
$907$	12.6037	−	12.6037i	0.418497	−	0.418497i	0.884686	+	0.466188i	$0.154373\pi$
$908$	−14.3536	−	31.7358i	−0.476340	−	1.05319i
$909$	20.3370	+	20.3370i	0.674535	+	0.674535i
$910$	−1.54350	−	5.40879i	−0.0511666	−	0.179300i
$911$			9.79230i			0.324433i	0.986755	+	0.162217i	$0.0518644\pi$
$911$			9.79230i			0.324433i	−0.986755	+	0.162217i	$0.948136\pi$
$912$	−43.2751	+	49.2120i	−1.43298	+	1.62957i
$913$			0.529268i			0.0175162i
$914$	−17.4641	−	25.2513i	−0.577661	−	0.835238i
$915$	11.1144	−	11.1144i	0.367432	−	0.367432i
$916$	16.8090	+	37.1647i	0.555383	+	1.22796i
$917$	8.22139	+	16.6648i	0.271494	+	0.550320i
$918$	0.604153	−	3.31399i	0.0199400	−	0.109378i
$919$	39.6951			1.30942			0.654710	−	0.755880i	$-0.272791\pi$
$919$	39.6951			1.30942			0.654710	+	0.755880i	$0.272791\pi$
$920$	−6.56253	−	3.94244i	−0.216360	−	0.129978i
$921$		−	49.4762i		−	1.63029i
$922$	−53.8670	−	9.82016i	−1.77402	−	0.323410i
$923$	15.9418	+	15.9418i	0.524731	+	0.524731i
$924$	−0.843555	+	1.02679i	−0.0277509	+	0.0337789i
$925$	−7.93663	+	7.93663i	−0.260955	+	0.260955i
$926$	3.34986	+	4.84356i	0.110083	+	0.159169i
$927$	−17.8661			−0.586798
$928$	−1.04658	+	0.827755i	−0.0343555	+	0.0271724i
$929$			21.4883i			0.705008i	0.935810	+	0.352504i	$0.114670\pi$
$929$			21.4883i			0.705008i	−0.935810	+	0.352504i	$0.885330\pi$
$930$	0.838194	+	1.21194i	0.0274855	+	0.0397411i
$931$	45.0275	−	5.94222i	1.47572	−	0.194748i
$932$	44.7160	+	16.8643i	1.46472	+	0.552407i
$933$	−40.6378	−	40.6378i	−1.33042	−	1.33042i
$934$	−5.37372	+	29.4767i	−0.175833	+	0.964508i
$935$	0.249605			0.00816294
$936$	12.3042	+	7.39177i	0.402177	+	0.241608i
$937$	2.65817			0.0868387			0.0434194	−	0.999057i	$-0.486175\pi$
$937$	2.65817			0.0868387			0.0434194	+	0.999057i	$0.486175\pi$
$938$	−9.64376	+	17.3457i	−0.314880	+	0.566358i
$939$	−31.5143	+	31.5143i	−1.02843	+	1.02843i
$940$	−0.673581	−	1.48929i	−0.0219698	−	0.0485753i
$941$	−35.7636	−	35.7636i	−1.16586	−	1.16586i	−0.983171	−	0.182689i	$-0.941520\pi$
$941$	−35.7636	−	35.7636i	−1.16586	−	1.16586i	−0.182689	−	0.983171i	$-0.558480\pi$
$942$	28.3239	−	19.5892i	0.922844	−	0.638250i
$943$	−16.6950			−0.543663
$944$	2.33005	+	36.2983i	0.0758368	+	1.18141i
$945$	−0.806798	+	2.37796i	−0.0262451	+	0.0773552i
$946$	0.0781304	+	0.112968i	0.00254024	+	0.00367292i
$947$	21.5158	+	21.5158i	0.699169	+	0.699169i	0.964231	−	0.265062i	$-0.0853925\pi$
$947$	21.5158	+	21.5158i	0.699169	+	0.699169i	−0.265062	+	0.964231i	$0.585392\pi$
$948$	−1.88950	+	0.854588i	−0.0613680	+	0.0277557i
$949$	−16.8442	−	16.8442i	−0.546785	−	0.546785i
$950$	−9.02702	−	1.64566i	−0.292875	−	0.0533923i
$951$			17.9172i			0.581006i
$952$	1.55077	−	18.7167i	0.0502609	−	0.606611i
$953$		−	44.4498i		−	1.43987i	−0.694041	−	0.719935i	$-0.744171\pi$
$953$		−	44.4498i		−	1.43987i	0.694041	−	0.719935i	$-0.255829\pi$
$954$	0.0204985	−	0.112441i	0.000663662	−	0.00364042i
$955$	6.68492	+	6.68492i	0.216319	+	0.216319i
$956$	28.1129	+	10.6026i	0.909236	+	0.342911i
$957$	−0.0418874	−	0.0418874i	−0.00135403	−	0.00135403i
$958$	7.57090	−	5.23613i	0.244605	−	0.169172i
$959$	29.2973	+	9.94001i	0.946059	+	0.320980i
$960$	−9.48641	−	17.8344i	−0.306173	−	0.575601i
$961$	−30.8297			−0.994507
$962$	13.5731	+	19.6253i	0.437615	+	0.632746i
$963$	33.9718	+	33.9718i	1.09473	+	1.09473i
$964$	3.38786	+	1.27770i	0.109116	+	0.0411521i
$965$	4.50698	−	4.50698i	0.145085	−	0.145085i
$966$	−22.3504	−	12.4262i	−0.719113	−	0.399808i
$967$	44.1096			1.41847			0.709235	−	0.704972i	$-0.249040\pi$
$967$	44.1096			1.41847			0.709235	+	0.704972i	$0.249040\pi$
$968$	−30.1608	+	7.52253i	−0.969404	+	0.241783i
$969$	41.1168			1.32086
$970$	−22.7046	−	4.13914i	−0.729002	−	0.132900i
$971$	2.91952	+	2.91952i	0.0936918	+	0.0936918i	0.752399	−	0.658707i	$-0.228896\pi$
$971$	2.91952	+	2.91952i	0.0936918	+	0.0936918i	−0.658707	+	0.752399i	$0.728896\pi$
$972$	18.4360	+	40.7621i	0.591335	+	1.30744i
$973$	48.0377	−	23.6988i	1.54002	−	0.759750i
$974$	−41.9498	+	29.0130i	−1.34416	+	0.929637i
$975$			3.79582i			0.121564i
$976$	1.59507	+	24.8485i	0.0510568	+	0.795380i
$977$	−48.0839			−1.53834			−0.769170	−	0.639044i	$-0.779330\pi$
$977$	−48.0839			−1.53834			−0.769170	+	0.639044i	$0.779330\pi$
$978$	−20.6683	+	14.2945i	−0.660899	+	0.457086i
$979$	−0.531218	+	0.531218i	−0.0169778	+	0.0169778i
$980$	−3.18401	+	13.6331i	−0.101709	+	0.435494i
$981$	44.1737	+	44.1737i	1.41036	+	1.41036i
$982$	7.16066	−	39.2787i	0.228506	−	1.25343i
$983$		−	15.1230i		−	0.482348i	−0.970482	−	0.241174i	$-0.922468\pi$
$983$		−	15.1230i		−	0.482348i	0.970482	−	0.241174i	$-0.0775325\pi$
$984$	−37.7614	−	22.6852i	−1.20379	−	0.723176i
$985$	−10.2832			−0.327649
$986$	0.823629	+	0.150151i	0.0262297	+	0.00478177i
$987$	−2.41560	−	4.89644i	−0.0768895	−	0.155855i
$988$	−6.88370	+	18.2523i	−0.219000	+	0.580683i
$989$	−1.86904	+	1.86904i	−0.0594321	+	0.0594321i
$990$	0.390525	−	0.270092i	0.0124117	−	0.00858408i
$991$		−	12.2956i		−	0.390584i	−0.980745	−	0.195292i	$-0.937435\pi$
$991$		−	12.2956i		−	0.390584i	0.980745	−	0.195292i	$-0.0625654\pi$
$992$	−2.31856	−	0.270682i	−0.0736142	−	0.00859416i
$993$			24.2076i			0.768206i
$994$	−15.3988	−	53.9610i	−0.488421	−	1.71154i
$995$	3.77873	+	3.77873i	0.119794	+	0.119794i
$996$	−25.1458	−	9.48354i	−0.796776	−	0.300497i
$997$	−11.5255	+	11.5255i	−0.365016	+	0.365016i	−0.865656	−	0.500640i	$-0.833098\pi$
$997$	−11.5255	+	11.5255i	−0.365016	+	0.365016i	0.500640	+	0.865656i	$0.333098\pi$
$998$	−31.8183	−	5.80060i	−1.00719	−	0.183615i
$999$		−	10.6529i		−	0.337042i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	560.2.bc.a.251.11	✓	128
7.6	odd	2	inner	560.2.bc.a.251.12	yes	128
16.3	odd	4	inner	560.2.bc.a.531.12	yes	128
112.83	even	4	inner	560.2.bc.a.531.11	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
560.2.bc.a.251.11	✓	128	1.1	even	1	trivial
560.2.bc.a.251.12	yes	128	7.6	odd	2	inner
560.2.bc.a.531.11	yes	128	112.83	even	4	inner
560.2.bc.a.531.12	yes	128	16.3	odd	4	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:	\( N \)	\(=\)	\( 560 = 2^{4} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	560.bc (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.16313 + 0.804438i) q^{2} +(-1.78548 + 1.78548i) q^{3} +(0.705760 - 1.87134i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.640444 - 3.51306i) q^{6} +(-0.850060 + 2.50547i) q^{7} +(0.684482 + 2.74436i) q^{8} -3.37588i q^{9} +O(q^{10})\)	\(q+(-1.16313 + 0.804438i) q^{2} +(-1.78548 + 1.78548i) q^{3} +(0.705760 - 1.87134i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.640444 - 3.51306i) q^{6} +(-0.850060 + 2.50547i) q^{7} +(0.684482 + 2.74436i) q^{8} -3.37588i q^{9} +(-0.253636 + 1.39128i) q^{10} +(0.0703262 - 0.0703262i) q^{11} +(2.08112 + 4.60135i) q^{12} +(1.06297 + 1.06297i) q^{13} +(-1.02676 - 3.59802i) q^{14} +2.52505i q^{15} +(-3.00381 - 2.64143i) q^{16} +2.50969i q^{17} +(2.71568 + 3.92660i) q^{18} +(-4.58790 + 4.58790i) q^{19} +(-0.824188 - 1.82228i) q^{20} +(-2.95571 - 5.99124i) q^{21} +(-0.0252257 + 0.138372i) q^{22} -2.70670 q^{23} +(-6.12212 - 3.67786i) q^{24} -1.00000i q^{25} +(-2.09147 - 0.381283i) q^{26} +(0.671121 + 0.671121i) q^{27} +(4.08865 + 3.35901i) q^{28} +(-0.166794 + 0.166794i) q^{29} +(-2.03125 - 2.93697i) q^{30} -0.412650 q^{31} +(5.61869 + 0.655959i) q^{32} +0.251132i q^{33} +(-2.01889 - 2.91910i) q^{34} +(1.17055 + 2.37272i) q^{35} +(-6.31740 - 2.38256i) q^{36} +(-7.93663 - 7.93663i) q^{37} +(1.64566 - 9.02702i) q^{38} -3.79582 q^{39} +(2.42455 + 1.45655i) q^{40} +6.16803 q^{41} +(8.25746 + 4.59093i) q^{42} +(0.690526 - 0.690526i) q^{43} +(-0.0819707 - 0.181238i) q^{44} +(-2.38711 - 2.38711i) q^{45} +(3.14825 - 2.17737i) q^{46} +0.817267 q^{47} +(10.0795 - 0.647018i) q^{48} +(-5.55480 - 4.25960i) q^{49} +(0.804438 + 1.16313i) q^{50} +(-4.48100 - 4.48100i) q^{51} +(2.73938 - 1.23897i) q^{52} +(-0.0169281 - 0.0169281i) q^{53} +(-1.32048 - 0.240728i) q^{54} -0.0994563i q^{55} +(-7.45776 - 0.617915i) q^{56} -16.3832i q^{57} +(0.0598284 - 0.328179i) q^{58} +(-6.42990 - 6.42990i) q^{59} +(4.72522 + 1.78208i) q^{60} +(-4.40167 - 4.40167i) q^{61} +(0.479968 - 0.331952i) q^{62} +(8.45817 + 2.86970i) q^{63} +(-7.06297 + 3.75692i) q^{64} +1.50327 q^{65} +(-0.202020 - 0.292100i) q^{66} +(-3.75060 - 3.75060i) q^{67} +(4.69648 + 1.77124i) q^{68} +(4.83275 - 4.83275i) q^{69} +(-3.27022 - 1.81815i) q^{70} +14.9974 q^{71} +(9.26460 - 2.31073i) q^{72} -15.8463 q^{73} +(15.6159 + 2.84684i) q^{74} +(1.78548 + 1.78548i) q^{75} +(5.34755 + 11.8235i) q^{76} +(0.116419 + 0.235982i) q^{77} +(4.41505 - 3.05351i) q^{78} +0.410639i q^{79} +(-3.99178 + 0.256240i) q^{80} +7.73109 q^{81} +(-7.17424 + 4.96179i) q^{82} +(-3.76295 + 3.76295i) q^{83} +(-13.2976 + 1.30275i) q^{84} +(1.77462 + 1.77462i) q^{85} +(-0.247689 + 1.35866i) q^{86} -0.595615i q^{87} +(0.241137 + 0.144863i) q^{88} -7.55362 q^{89} +(4.69680 + 0.856245i) q^{90} +(-3.56683 + 1.75966i) q^{91} +(-1.91028 + 5.06514i) q^{92} +(0.736779 - 0.736779i) q^{93} +(-0.950591 + 0.657440i) q^{94} +6.48827i q^{95} +(-11.2033 + 8.86086i) q^{96} +16.3192i q^{97} +(9.88756 + 0.485999i) q^{98} +(-0.237413 - 0.237413i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 4 q^{4}+O(q^{10}) \) 128 * q - 4 * q^4	\( 128 q - 4 q^{4} + 8 q^{11} - 8 q^{14} + 20 q^{16} + 20 q^{18} - 52 q^{22} - 16 q^{23} + 44 q^{28} + 16 q^{29} + 40 q^{32} + 16 q^{37} + 60 q^{42} - 8 q^{43} - 108 q^{44} - 40 q^{46} - 4 q^{50} + 80 q^{51} + 16 q^{53} + 12 q^{56} - 76 q^{58} - 56 q^{60} - 52 q^{64} + 40 q^{67} - 8 q^{70} - 64 q^{71} - 36 q^{72} + 60 q^{74} - 48 q^{78} - 128 q^{81} - 32 q^{84} + 76 q^{86} + 20 q^{88} - 32 q^{91} + 64 q^{92} - 76 q^{98} - 40 q^{99}+O(q^{100}) \) 128 * q - 4 * q^4 + 8 * q^11 - 8 * q^14 + 20 * q^16 + 20 * q^18 - 52 * q^22 - 16 * q^23 + 44 * q^28 + 16 * q^29 + 40 * q^32 + 16 * q^37 + 60 * q^42 - 8 * q^43 - 108 * q^44 - 40 * q^46 - 4 * q^50 + 80 * q^51 + 16 * q^53 + 12 * q^56 - 76 * q^58 - 56 * q^60 - 52 * q^64 + 40 * q^67 - 8 * q^70 - 64 * q^71 - 36 * q^72 + 60 * q^74 - 48 * q^78 - 128 * q^81 - 32 * q^84 + 76 * q^86 + 20 * q^88 - 32 * q^91 + 64 * q^92 - 76 * q^98 - 40 * q^99

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