LMFDB - Embedded newform 280.2.s.c.237.31

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(13,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(4))

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

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

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

chi := DirichletCharacter("280.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.s (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:	$2.23581125660$
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			237.31
Character	$\chi$	$=$	280.237
Dual form			280.2.s.c.13.31

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.26563 + 0.631018i) q^{2} +(-0.551796 + 0.551796i) q^{3} +(1.20363 + 1.59727i) q^{4} +(1.17738 - 1.90100i) q^{5} +(-1.04656 + 0.350176i) q^{6} +(2.28135 - 1.33994i) q^{7} +(0.515446 + 2.78106i) q^{8} +2.39104i q^{9} +O(q^{10})$	\(q+(1.26563 + 0.631018i) q^{2} +(-0.551796 + 0.551796i) q^{3} +(1.20363 + 1.59727i) q^{4} +(1.17738 - 1.90100i) q^{5} +(-1.04656 + 0.350176i) q^{6} +(2.28135 - 1.33994i) q^{7} +(0.515446 + 2.78106i) q^{8} +2.39104i q^{9} +(2.68968 - 1.66301i) q^{10} -4.64871i q^{11} +(-1.54553 - 0.217207i) q^{12} +(-2.09856 + 2.09856i) q^{13} +(3.73287 - 0.256290i) q^{14} +(0.399290 + 1.69863i) q^{15} +(-1.10254 + 3.84505i) q^{16} +(-3.81531 + 3.81531i) q^{17} +(-1.50879 + 3.02617i) q^{18} +2.48944i q^{19} +(4.45353 - 0.407511i) q^{20} +(-0.519468 + 1.99821i) q^{21} +(2.93342 - 5.88354i) q^{22} +(4.32744 - 4.32744i) q^{23} +(-1.81900 - 1.25016i) q^{24} +(-2.22757 - 4.47638i) q^{25} +(-3.98023 + 1.33177i) q^{26} +(-2.97476 - 2.97476i) q^{27} +(4.88615 + 2.03114i) q^{28} -2.13116 q^{29} +(-0.566516 + 2.40180i) q^{30} +0.0854741i q^{31} +(-3.82170 + 4.17068i) q^{32} +(2.56514 + 2.56514i) q^{33} +(-7.23629 + 2.42123i) q^{34} +(0.138796 - 5.91445i) q^{35} +(-3.81914 + 2.87794i) q^{36} +(-5.02706 + 5.02706i) q^{37} +(-1.57088 + 3.15071i) q^{38} -2.31596i q^{39} +(5.89366 + 2.29450i) q^{40} -11.6538i q^{41} +(-1.91836 + 2.20120i) q^{42} +(-5.58987 - 5.58987i) q^{43} +(7.42524 - 5.59534i) q^{44} +(4.54536 + 2.81516i) q^{45} +(8.20763 - 2.74624i) q^{46} +(-2.71446 + 2.71446i) q^{47} +(-1.51331 - 2.73006i) q^{48} +(3.40913 - 6.11374i) q^{49} +(0.00540265 - 7.07107i) q^{50} -4.21054i q^{51} +(-5.87787 - 0.826071i) q^{52} +(3.87936 + 3.87936i) q^{53} +(-1.88781 - 5.64206i) q^{54} +(-8.83718 - 5.47329i) q^{55} +(4.90237 + 5.65392i) q^{56} +(-1.37366 - 1.37366i) q^{57} +(-2.69725 - 1.34480i) q^{58} -3.84849i q^{59} +(-2.23258 + 2.68230i) q^{60} +6.20980 q^{61} +(-0.0539357 + 0.108179i) q^{62} +(3.20385 + 5.45481i) q^{63} +(-7.46863 + 2.86698i) q^{64} +(1.51856 + 6.46016i) q^{65} +(1.62787 + 4.86516i) q^{66} +(0.188380 - 0.188380i) q^{67} +(-10.6863 - 1.50185i) q^{68} +4.77573i q^{69} +(3.90779 - 7.39792i) q^{70} +2.92112 q^{71} +(-6.64964 + 1.23245i) q^{72} +(1.82401 + 1.82401i) q^{73} +(-9.53455 + 3.19022i) q^{74} +(3.69921 + 1.24088i) q^{75} +(-3.97631 + 2.99637i) q^{76} +(-6.22898 - 10.6053i) q^{77} +(1.46141 - 2.93114i) q^{78} -1.34986i q^{79} +(6.01132 + 6.62299i) q^{80} -3.89021 q^{81} +(7.35377 - 14.7494i) q^{82} +(-11.8278 + 11.8278i) q^{83} +(-3.81693 + 1.57538i) q^{84} +(2.76082 + 11.7449i) q^{85} +(-3.54739 - 10.6020i) q^{86} +(1.17596 - 1.17596i) q^{87} +(12.9284 - 2.39616i) q^{88} +1.37119 q^{89} +(3.97632 + 6.43115i) q^{90} +(-1.97562 + 7.59950i) q^{91} +(12.1207 + 1.70344i) q^{92} +(-0.0471643 - 0.0471643i) q^{93} +(-5.14837 + 1.72263i) q^{94} +(4.73242 + 2.93101i) q^{95} +(-0.192568 - 4.41017i) q^{96} +(-9.83584 + 9.83584i) q^{97} +(8.17258 - 5.58650i) q^{98} +11.1153 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8}+O(q^{10}) $ 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8	$ 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8} - 8 q^{15} + 40 q^{16} - 40 q^{18} + 4 q^{22} + 40 q^{23} - 8 q^{25} - 4 q^{28} - 44 q^{30} - 24 q^{32} - 72 q^{36} + 40 q^{42} + 16 q^{46} - 60 q^{50} + 32 q^{56} + 32 q^{57} - 68 q^{58} + 64 q^{60} - 100 q^{63} - 56 q^{65} + 16 q^{70} - 80 q^{71} + 16 q^{72} - 4 q^{78} + 72 q^{81} - 72 q^{86} + 48 q^{88} + 72 q^{92} + 80 q^{95} + 40 q^{98}+O(q^{100}) $ 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8 - 8 * q^15 + 40 * q^16 - 40 * q^18 + 4 * q^22 + 40 * q^23 - 8 * q^25 - 4 * q^28 - 44 * q^30 - 24 * q^32 - 72 * q^36 + 40 * q^42 + 16 * q^46 - 60 * q^50 + 32 * q^56 + 32 * q^57 - 68 * q^58 + 64 * q^60 - 100 * q^63 - 56 * q^65 + 16 * q^70 - 80 * q^71 + 16 * q^72 - 4 * q^78 + 72 * q^81 - 72 * q^86 + 48 * q^88 + 72 * q^92 + 80 * q^95 + 40 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$-1$	$-1$

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 $

$2$	1.26563	+	0.631018i	0.894935	+	0.446197i
$2$	1.26563	+	0.631018i	0.894935	+	0.446197i
$3$	−0.551796	+	0.551796i	−0.318580	+	0.318580i	−0.848221	−	0.529642i	$-0.822326\pi$
$3$	−0.551796	+	0.551796i	−0.318580	+	0.318580i	0.529642	+	0.848221i	$0.322326\pi$
$4$	1.20363	+	1.59727i	0.601816	+	0.798635i
$5$	1.17738	−	1.90100i	0.526539	−	0.850151i
$5$	1.17738	−	1.90100i	0.526539	−	0.850151i
$6$	−1.04656	+	0.350176i	−0.427257	+	0.142959i
$7$	2.28135	−	1.33994i	0.862270	−	0.506449i
$7$	2.28135	−	1.33994i	0.862270	−	0.506449i
$8$	0.515446	+	2.78106i	0.182238	+	0.983255i
$9$			2.39104i			0.797014i
$10$	2.68968	−	1.66301i	0.850553	−	0.525889i
$11$		−	4.64871i		−	1.40164i	−0.713339	−	0.700819i	$-0.752818\pi$
$11$		−	4.64871i		−	1.40164i	0.713339	−	0.700819i	$-0.247182\pi$
$12$	−1.54553	−	0.217207i	−0.446155	−	0.0627023i
$13$	−2.09856	+	2.09856i	−0.582036	+	0.582036i	−0.935462	−	0.353426i	$-0.885017\pi$
$13$	−2.09856	+	2.09856i	−0.582036	+	0.582036i	0.353426	+	0.935462i	$0.385017\pi$
$14$	3.73287	−	0.256290i	0.997651	−	0.0684963i
$15$	0.399290	+	1.69863i	0.103096	+	0.438585i
$16$	−1.10254	+	3.84505i	−0.275635	+	0.961263i
$17$	−3.81531	+	3.81531i	−0.925348	+	0.925348i	−0.997401	−	0.0720532i	$-0.977045\pi$
$17$	−3.81531	+	3.81531i	−0.925348	+	0.925348i	0.0720532	+	0.997401i	$0.477045\pi$
$18$	−1.50879	+	3.02617i	−0.355625	+	0.713276i
$19$			2.48944i			0.571117i	0.958361	+	0.285559i	$0.0921791\pi$
$19$			2.48944i			0.571117i	−0.958361	+	0.285559i	$0.907821\pi$
$20$	4.45353	−	0.407511i	0.995840	−	0.0911223i
$21$	−0.519468	+	1.99821i	−0.113357	+	0.436046i
$22$	2.93342	−	5.88354i	0.625407	−	1.25438i
$23$	4.32744	−	4.32744i	0.902335	−	0.902335i	−0.0933031	−	0.995638i	$-0.529743\pi$
$23$	4.32744	−	4.32744i	0.902335	−	0.902335i	0.995638	+	0.0933031i	$0.0297426\pi$
$24$	−1.81900	−	1.25016i	−0.371302	−	0.255188i
$25$	−2.22757	−	4.47638i	−0.445513	−	0.895275i
$26$	−3.98023	+	1.33177i	−0.780588	+	0.261182i
$27$	−2.97476	−	2.97476i	−0.572492	−	0.572492i
$28$	4.88615	+	2.03114i	0.923396	+	0.383849i
$29$	−2.13116			−0.395746			−0.197873	−	0.980228i	$-0.563403\pi$
$29$	−2.13116			−0.395746			−0.197873	+	0.980228i	$0.563403\pi$
$30$	−0.566516	+	2.40180i	−0.103431	+	0.438506i
$31$			0.0854741i			0.0153516i	0.999971	+	0.00767580i	$0.00244331\pi$
$31$			0.0854741i			0.0153516i	−0.999971	+	0.00767580i	$0.997557\pi$
$32$	−3.82170	+	4.17068i	−0.675588	+	0.737280i
$33$	2.56514	+	2.56514i	0.446534	+	0.446534i
$34$	−7.23629	+	2.42123i	−1.24101	+	0.415238i
$35$	0.138796	−	5.91445i	0.0234607	−	0.999725i
$36$	−3.81914	+	2.87794i	−0.636523	+	0.479656i
$37$	−5.02706	+	5.02706i	−0.826443	+	0.826443i	−0.987023	−	0.160580i	$-0.948664\pi$
$37$	−5.02706	+	5.02706i	−0.826443	+	0.826443i	0.160580	+	0.987023i	$0.448664\pi$
$38$	−1.57088	+	3.15071i	−0.254831	+	0.511113i
$39$		−	2.31596i		−	0.370850i
$40$	5.89366	+	2.29450i	0.931870	+	0.362792i
$41$		−	11.6538i		−	1.82002i	−0.414585	−	0.910011i	$-0.636073\pi$
$41$		−	11.6538i		−	1.82002i	0.414585	−	0.910011i	$-0.363927\pi$
$42$	−1.91836	+	2.20120i	−0.296010	+	0.339653i
$43$	−5.58987	−	5.58987i	−0.852447	−	0.852447i	0.137987	−	0.990434i	$-0.455937\pi$
$43$	−5.58987	−	5.58987i	−0.852447	−	0.852447i	−0.990434	+	0.137987i	$0.955937\pi$
$44$	7.42524	−	5.59534i	1.11940	−	0.843529i
$45$	4.54536	+	2.81516i	0.677582	+	0.419659i
$46$	8.20763	−	2.74624i	1.21015	−	0.404911i
$47$	−2.71446	+	2.71446i	−0.395945	+	0.395945i	−0.876800	−	0.480855i	$-0.840326\pi$
$47$	−2.71446	+	2.71446i	−0.395945	+	0.395945i	0.480855	+	0.876800i	$0.340326\pi$
$48$	−1.51331	−	2.73006i	−0.218427	−	0.394050i
$49$	3.40913	−	6.11374i	0.487019	−	0.873391i
$50$	0.00540265	−	7.07107i	0.000764050	−	1.00000i
$51$		−	4.21054i		−	0.589594i
$52$	−5.87787	−	0.826071i	−0.815113	−	0.114556i
$53$	3.87936	+	3.87936i	0.532871	+	0.532871i	0.921426	−	0.388555i	$-0.127026\pi$
$53$	3.87936	+	3.87936i	0.532871	+	0.532871i	−0.388555	+	0.921426i	$0.627026\pi$
$54$	−1.88781	−	5.64206i	−0.256899	−	0.767787i
$55$	−8.83718	−	5.47329i	−1.19160	−	0.738018i
$56$	4.90237	+	5.65392i	0.655106	+	0.755537i
$57$	−1.37366	−	1.37366i	−0.181946	−	0.181946i
$58$	−2.69725	−	1.34480i	−0.354167	−	0.176581i
$59$		−	3.84849i		−	0.501031i	−0.968113	−	0.250515i	$-0.919400\pi$
$59$		−	3.84849i		−	0.501031i	0.968113	−	0.250515i	$-0.0806000\pi$
$60$	−2.23258	+	2.68230i	−0.288224	+	0.346284i
$61$	6.20980			0.795084			0.397542	−	0.917584i	$-0.369863\pi$
$61$	6.20980			0.795084			0.397542	+	0.917584i	$0.369863\pi$
$62$	−0.0539357	+	0.108179i	−0.00684984	+	0.0137387i
$63$	3.20385	+	5.45481i	0.403647	+	0.687241i
$64$	−7.46863	+	2.86698i	−0.933579	+	0.358372i
$65$	1.51856	+	6.46016i	0.188354	+	0.801284i
$66$	1.62787	+	4.86516i	0.200376	+	0.598860i
$67$	0.188380	−	0.188380i	0.0230143	−	0.0230143i	−0.695506	−	0.718520i	$-0.744820\pi$
$67$	0.188380	−	0.188380i	0.0230143	−	0.0230143i	0.718520	+	0.695506i	$0.244820\pi$
$68$	−10.6863	−	1.50185i	−1.29590	−	0.182125i
$69$			4.77573i			0.574931i
$70$	3.90779	−	7.39792i	0.467070	−	0.884220i
$71$	2.92112			0.346673			0.173337	−	0.984863i	$-0.444545\pi$
$71$	2.92112			0.346673			0.173337	+	0.984863i	$0.444545\pi$
$72$	−6.64964	+	1.23245i	−0.783668	+	0.145246i
$73$	1.82401	+	1.82401i	0.213485	+	0.213485i	0.805746	−	0.592261i	$-0.201765\pi$
$73$	1.82401	+	1.82401i	0.213485	+	0.213485i	−0.592261	+	0.805746i	$0.701765\pi$
$74$	−9.53455	+	3.19022i	−1.10837	+	0.370856i
$75$	3.69921	+	1.24088i	0.427148	+	0.143285i
$76$	−3.97631	+	2.99637i	−0.456114	+	0.343708i
$77$	−6.22898	−	10.6053i	−0.709859	−	1.20859i
$78$	1.46141	−	2.93114i	0.165472	−	0.331886i
$79$		−	1.34986i		−	0.151871i	−0.997113	−	0.0759354i	$-0.975806\pi$
$79$		−	1.34986i		−	0.151871i	0.997113	−	0.0759354i	$-0.0241943\pi$
$80$	6.01132	+	6.62299i	0.672086	+	0.740473i
$81$	−3.89021			−0.432246
$82$	7.35377	−	14.7494i	0.812088	−	1.62880i
$83$	−11.8278	+	11.8278i	−1.29826	+	1.29826i	−0.368727	+	0.929538i	$0.620206\pi$
$83$	−11.8278	+	11.8278i	−1.29826	+	1.29826i	−0.929538	+	0.368727i	$0.879794\pi$
$84$	−3.81693	+	1.57538i	−0.416462	+	0.171888i
$85$	2.76082	+	11.7449i	0.299453	+	1.27392i
$86$	−3.54739	−	10.6020i	−0.382525	−	1.14324i
$87$	1.17596	−	1.17596i	0.126076	−	0.126076i
$88$	12.9284	−	2.39616i	1.37817	−	0.255431i
$89$	1.37119			0.145346			0.0726732	−	0.997356i	$-0.476847\pi$
$89$	1.37119			0.145346			0.0726732	+	0.997356i	$0.476847\pi$
$90$	3.97632	+	6.43115i	0.419141	+	0.677903i
$91$	−1.97562	+	7.59950i	−0.207101	+	0.796644i
$92$	12.1207	+	1.70344i	1.26368	+	0.177596i
$93$	−0.0471643	−	0.0471643i	−0.00489071	−	0.00489071i
$94$	−5.14837	+	1.72263i	−0.531014	+	0.177675i
$95$	4.73242	+	2.93101i	0.485536	+	0.300715i
$96$	−0.192568	−	4.41017i	−0.0196539	−	0.450111i
$97$	−9.83584	+	9.83584i	−0.998678	+	0.998678i	−0.999999	−	0.00132132i	$-0.999579\pi$
$97$	−9.83584	+	9.83584i	−0.998678	+	0.998678i	0.00132132	+	0.999999i	$0.499579\pi$
$98$	8.17258	−	5.58650i	0.825555	−	0.564322i
$99$	11.1153			1.11713
$100$	4.46881	−	8.94594i	0.446881	−	0.894594i
$101$	14.0923			1.40223			0.701116	−	0.713047i	$-0.252685\pi$
$101$	14.0923			1.40223			0.701116	+	0.713047i	$0.252685\pi$
$102$	2.65693	−	5.32898i	0.263075	−	0.527648i
$103$	6.89070	+	6.89070i	0.678961	+	0.678961i	0.959765	−	0.280804i	$-0.0906012\pi$
$103$	6.89070	+	6.89070i	0.678961	+	0.678961i	−0.280804	+	0.959765i	$0.590601\pi$
$104$	−6.91793	−	4.75454i	−0.678359	−	0.466221i
$105$	3.18698	+	3.34016i	0.311018	+	0.325966i
$106$	2.46188	+	7.35777i	0.239119	+	0.714650i
$107$	1.00648	−	1.00648i	0.0973004	−	0.0973004i	−0.656781	−	0.754081i	$-0.728082\pi$
$107$	1.00648	−	1.00648i	0.0973004	−	0.0973004i	0.754081	+	0.656781i	$0.228082\pi$
$108$	1.17097	−	8.33200i	0.112677	−	0.801747i
$109$	−6.39609			−0.612635			−0.306317	−	0.951929i	$-0.599097\pi$
$109$	−6.39609			−0.612635			−0.306317	+	0.951929i	$0.599097\pi$
$110$	−7.73084	−	12.5036i	−0.737107	−	1.19217i
$111$		−	5.54782i		−	0.526576i
$112$	2.63685	+	10.2492i	0.249159	+	0.968463i
$113$	−3.34604	+	3.34604i	−0.314769	+	0.314769i	−0.846754	−	0.531985i	$-0.821446\pi$
$113$	−3.34604	+	3.34604i	−0.314769	+	0.314769i	0.531985	+	0.846754i	$0.321446\pi$
$114$	−0.871742	−	2.60536i	−0.0816461	−	0.244014i
$115$	−3.13142	−	13.3215i	−0.292006	−	1.24224i
$116$	−2.56513	−	3.40403i	−0.238166	−	0.316056i
$117$	−5.01775	−	5.01775i	−0.463891	−	0.463891i
$118$	2.42847	−	4.87076i	0.223558	−	0.448390i
$119$	−3.59178	+	13.8163i	−0.329258	+	1.26654i
$120$	−4.51820	+	1.98600i	−0.412453	+	0.181297i
$121$	−10.6105			−0.964592
$122$	7.85931	+	3.91850i	0.711548	+	0.354764i
$123$	6.43053	+	6.43053i	0.579822	+	0.579822i
$124$	−0.136525	+	0.102879i	−0.0122603	+	0.00923884i
$125$	−11.1323	−	1.03579i	−0.995699	−	0.0926439i
$126$	0.612800	+	8.92545i	0.0545926	+	0.795142i
$127$	−5.21313	−	5.21313i	−0.462590	−	0.462590i	0.436913	−	0.899504i	$-0.356072\pi$
$127$	−5.21313	−	5.21313i	−0.462590	−	0.462590i	−0.899504	+	0.436913i	$0.856072\pi$
$128$	−11.2616	−	1.08431i	−0.995397	−	0.0958407i
$129$	6.16894			0.543145
$130$	−2.15454	+	9.13440i	−0.188966	+	0.801140i
$131$	19.5050			1.70416			0.852080	−	0.523411i	$-0.175341\pi$
$131$	19.5050			1.70416			0.852080	+	0.523411i	$0.175341\pi$
$132$	−1.00973	+	7.18470i	−0.0878860	+	0.625348i
$133$	3.33570	+	5.67929i	0.289242	+	0.492457i
$134$	0.357290	−	0.119548i	0.0308652	−	0.0103274i
$135$	−9.15741	+	2.15259i	−0.788144	+	0.185265i
$136$	−12.5772	−	8.64402i	−1.07849	−	0.741219i
$137$	9.08499	+	9.08499i	0.776183	+	0.776183i	0.979179	−	0.202996i	$-0.0650680\pi$
$137$	9.08499	+	9.08499i	0.776183	+	0.776183i	−0.202996	+	0.979179i	$0.565068\pi$
$138$	−3.01357	+	6.04431i	−0.256532	+	0.514525i
$139$		−	8.45468i		−	0.717117i	−0.933507	−	0.358559i	$-0.883268\pi$
$139$		−	8.45468i		−	0.717117i	0.933507	−	0.358559i	$-0.116732\pi$
$140$	9.61403	−	6.89713i	0.812534	−	0.582914i
$141$		−	2.99566i		−	0.252280i
$142$	3.69705	+	1.84328i	0.310250	+	0.154685i
$143$	9.75561	+	9.75561i	0.815805	+	0.815805i
$144$	−9.19368	−	2.63622i	−0.766140	−	0.219685i
$145$	−2.50917	+	4.05132i	−0.208376	+	0.336444i
$146$	1.15754	+	3.45951i	0.0957985	+	0.286311i
$147$	1.49239	+	5.25468i	0.123090	+	0.433399i
$148$	−14.0803	−	1.97884i	−1.15739	−	0.162659i
$149$	18.5814			1.52224			0.761122	−	0.648608i	$-0.224649\pi$
$149$	18.5814			1.52224			0.761122	+	0.648608i	$0.224649\pi$
$150$	3.89880	+	3.90477i	0.318336	+	0.318823i
$151$	−15.5005			−1.26141			−0.630706	−	0.776022i	$-0.717235\pi$
$151$	−15.5005			−1.26141			−0.630706	+	0.776022i	$0.717235\pi$
$152$	−6.92330	+	1.28317i	−0.561553	+	0.104079i
$153$	−9.12256	−	9.12256i	−0.737515	−	0.737515i
$154$	−1.19142	−	17.3530i	−0.0960071	−	1.39835i
$155$	0.162486	+	0.100635i	0.0130512	+	0.00808322i
$156$	3.69921	−	2.78756i	0.296174	−	0.223183i
$157$	7.85107	+	7.85107i	0.626583	+	0.626583i	0.947207	−	0.320623i	$-0.103892\pi$
$157$	7.85107	+	7.85107i	0.626583	+	0.626583i	−0.320623	+	0.947207i	$0.603892\pi$
$158$	0.851784	−	1.70842i	0.0677643	−	0.135914i
$159$	−4.28123			−0.339524
$160$	3.42887	+	12.1755i	0.271076	+	0.962558i
$161$	4.07392	−	15.6709i	0.321070	−	1.23504i
$162$	−4.92356	−	2.45479i	−0.386832	−	0.192867i
$163$	9.21345	+	9.21345i	0.721653	+	0.721653i	0.968942	−	0.247289i	$-0.0795396\pi$
$163$	9.21345	+	9.21345i	0.721653	+	0.721653i	−0.247289	+	0.968942i	$0.579540\pi$
$164$	18.6143	−	14.0269i	1.45353	−	1.09532i
$165$	7.89646	−	1.85618i	0.614738	−	0.144504i
$166$	−22.4331	+	7.50602i	−1.74114	+	0.582580i
$167$	13.7944	−	13.7944i	1.06745	−	1.06745i	0.0698911	−	0.997555i	$-0.477735\pi$
$167$	13.7944	−	13.7944i	1.06745	−	1.06745i	0.997555	−	0.0698911i	$-0.0222652\pi$
$168$	−5.82492	−	0.414704i	−0.449402	−	0.0319951i
$169$			4.19207i			0.322467i
$170$	−3.91709	+	16.6069i	−0.300427	+	1.27369i
$171$	−5.95236			−0.455188
$172$	2.20038	−	15.6567i	0.167777	−	1.19381i
$173$	0.180448	−	0.180448i	0.0137192	−	0.0137192i	−0.700214	−	0.713933i	$-0.746912\pi$
$173$	0.180448	−	0.180448i	0.0137192	−	0.0137192i	0.713933	+	0.700214i	$0.246912\pi$
$174$	2.23039	−	0.746279i	0.169085	−	0.0565752i
$175$	−11.0799	−	7.22739i	−0.837564	−	0.546339i
$176$	17.8745	+	5.12538i	1.34734	+	0.386340i
$177$	2.12358	+	2.12358i	0.159618	+	0.159618i
$178$	1.73542	+	0.865249i	0.130075	+	0.0648531i
$179$	−11.4920			−0.858954			−0.429477	−	0.903078i	$-0.641302\pi$
$179$	−11.4920			−0.858954			−0.429477	+	0.903078i	$0.641302\pi$
$180$	0.974377	+	10.6486i	0.0726257	+	0.793698i
$181$	−3.62143			−0.269179			−0.134589	−	0.990901i	$-0.542972\pi$
$181$	−3.62143			−0.269179			−0.134589	+	0.990901i	$0.542972\pi$
$182$	−7.29582	+	8.37150i	−0.540802	+	0.620537i
$183$	−3.42655	+	3.42655i	−0.253298	+	0.253298i
$184$	14.2655	+	9.80434i	1.05166	+	0.722785i
$185$	3.63767	+	15.4752i	0.267447	+	1.13776i
$186$	−0.0299310	−	0.0894540i	−0.00219464	−	0.00655908i
$187$	17.7363	+	17.7363i	1.29700	+	1.29700i
$188$	−7.60294	−	1.06851i	−0.554501	−	0.0779292i
$189$	−10.7725	−	2.80048i	−0.783581	−	0.203705i
$190$	4.13996	+	6.69581i	0.300344	+	0.485765i
$191$	8.31007			0.601295			0.300648	−	0.953735i	$-0.402797\pi$
$191$	8.31007			0.601295			0.300648	+	0.953735i	$0.402797\pi$
$192$	2.53917	−	5.70315i	0.183249	−	0.411589i
$193$	−3.72389	+	3.72389i	−0.268052	+	0.268052i	−0.828315	−	0.560263i	$-0.810700\pi$
$193$	−3.72389	+	3.72389i	−0.268052	+	0.268052i	0.560263	+	0.828315i	$0.310700\pi$
$194$	−18.6551	+	6.24193i	−1.33936	+	0.448144i
$195$	−4.40262	−	2.72675i	−0.315278	−	0.195267i
$196$	13.8686	−	1.91339i	0.990617	−	0.136671i
$197$	12.7667	−	12.7667i	0.909592	−	0.909592i	−0.0866472	−	0.996239i	$-0.527615\pi$
$197$	12.7667	−	12.7667i	0.909592	−	0.909592i	0.996239	+	0.0866472i	$0.0276153\pi$
$198$	14.0678	+	7.01393i	0.999755	+	0.498458i
$199$	7.29921			0.517427			0.258714	−	0.965954i	$-0.416701\pi$
$199$	7.29921			0.517427			0.258714	+	0.965954i	$0.416701\pi$
$200$	11.3009	−	8.50233i	0.799094	−	0.601206i
$201$			0.207894i			0.0146637i
$202$	17.8356	+	8.89247i	1.25491	+	0.625672i
$203$	−4.86192	+	2.85562i	−0.341240	+	0.200425i
$204$	6.72537	−	5.06794i	0.470870	−	0.354827i
$205$	−22.1539	−	13.7209i	−1.54729	−	0.958312i
$206$	4.37291	+	13.0692i	0.304675	+	0.910576i
$207$	10.3471	+	10.3471i	0.719173	+	0.719173i
$208$	−5.75533	−	10.3828i	−0.399060	−	0.719919i
$209$	11.5727			0.800500
$210$	1.92584	+	6.23844i	0.132895	+	0.430494i
$211$			20.4675i			1.40904i	0.709683	+	0.704521i	$0.248838\pi$
$211$			20.4675i			1.40904i	−0.709683	+	0.704521i	$0.751162\pi$
$212$	−1.52706	+	10.8657i	−0.104879	+	0.746260i
$213$	−1.61186	+	1.61186i	−0.110443	+	0.110443i
$214$	1.90894	−	0.638725i	0.130493	−	0.0436623i
$215$	−17.2077	+	4.04493i	−1.17356	+	0.275862i
$216$	6.73966	−	9.80631i	0.458576	−	0.667235i
$217$	0.114530	+	0.194997i	0.00777480	+	0.0132372i
$218$	−8.09508	−	4.03605i	−0.548268	−	0.273356i
$219$	−2.01297			−0.136024
$220$	−1.89440	−	20.7032i	−0.127721	−	1.39581i
$221$		−	16.0133i		−	1.07717i
$222$	3.50077	−	7.02148i	0.234957	−	0.471251i
$223$	0.739912	+	0.739912i	0.0495482	+	0.0495482i	0.731447	−	0.681899i	$-0.238845\pi$
$223$	0.739912	+	0.739912i	0.0495482	+	0.0495482i	−0.681899	+	0.731447i	$0.738845\pi$
$224$	−3.13018	+	14.6356i	−0.209144	+	0.977885i
$225$	10.7032	−	5.32621i	0.713547	−	0.355080i
$226$	−6.34625	+	2.12343i	−0.422146	+	0.141248i
$227$	−13.9536	−	13.9536i	−0.926134	−	0.926134i	0.0713191	−	0.997454i	$-0.477279\pi$
$227$	−13.9536	−	13.9536i	−0.926134	−	0.926134i	−0.997454	+	0.0713191i	$0.977279\pi$
$228$	0.540725	−	3.84750i	0.0358104	−	0.254807i
$229$		−	9.35690i		−	0.618321i	−0.951010	−	0.309161i	$-0.899952\pi$
$229$		−	9.35690i		−	0.618321i	0.951010	−	0.309161i	$-0.100048\pi$
$230$	4.44289	−	18.8360i	0.292955	−	1.24201i
$231$	9.28912	+	2.41486i	0.611179	+	0.158886i
$232$	−1.09850	−	5.92688i	−0.0721198	−	0.389119i
$233$	13.4285	−	13.4285i	0.879732	−	0.879732i	−0.113775	−	0.993507i	$-0.536294\pi$
$233$	13.4285	−	13.4285i	0.879732	−	0.879732i	0.993507	+	0.113775i	$0.0362942\pi$
$234$	−3.18432	−	9.51690i	−0.208165	−	0.622139i
$235$	1.96423	+	8.35612i	0.128132	+	0.545093i
$236$	6.14707	−	4.63217i	0.400140	−	0.301528i
$237$	0.744846	+	0.744846i	0.0483829	+	0.0483829i
$238$	−13.2642	+	15.2199i	−0.859791	+	0.986557i
$239$		−	16.5047i		−	1.06760i	−0.845610	−	0.533801i	$-0.820763\pi$
$239$		−	16.5047i		−	1.06760i	0.845610	−	0.533801i	$-0.179237\pi$
$240$	−6.97156	−	0.337520i	−0.450012	−	0.0217868i
$241$		−	13.1354i		−	0.846126i	−0.906100	−	0.423063i	$-0.860955\pi$
$241$		−	13.1354i		−	0.846126i	0.906100	−	0.423063i	$-0.139045\pi$
$242$	−13.4290	−	6.69542i	−0.863247	−	0.430398i
$243$	11.0709	−	11.0709i	0.710197	−	0.710197i
$244$	7.47432	+	9.91873i	0.478494	+	0.634982i
$245$	−7.60836	−	13.6789i	−0.486080	−	0.873914i
$246$	4.08089	+	12.1965i	0.260188	+	0.777617i
$247$	−5.22425	−	5.22425i	−0.332411	−	0.332411i
$248$	−0.237709	+	0.0440573i	−0.0150945	+	0.00279764i
$249$		−	13.0530i		−	0.827201i
$250$	−13.4357	−	8.33558i	−0.849748	−	0.527188i
$251$	−11.2469			−0.709898			−0.354949	−	0.934886i	$-0.615502\pi$
$251$	−11.2469			−0.709898			−0.354949	+	0.934886i	$0.615502\pi$
$252$	−4.85654	+	11.6830i	−0.305933	+	0.735959i
$253$	−20.1170	−	20.1170i	−1.26475	−	1.26475i
$254$	−3.30831	−	9.88746i	−0.207582	−	0.620395i
$255$	−8.00422	−	4.95739i	−0.501244	−	0.310444i
$256$	−13.5688	−	8.47863i	−0.848051	−	0.529914i
$257$	−11.2007	+	11.2007i	−0.698682	+	0.698682i	−0.964126	−	0.265444i	$-0.914481\pi$
$257$	−11.2007	+	11.2007i	−0.698682	+	0.698682i	0.265444	+	0.964126i	$0.414481\pi$
$258$	7.80758	+	3.89271i	0.486079	+	0.242350i
$259$	−4.73254	+	18.2044i	−0.294066	+	1.13117i
$260$	−8.49082	+	10.2012i	−0.526579	+	0.632652i
$261$		−	5.09568i		−	0.315415i
$262$	24.6861	+	12.3080i	1.52511	+	0.760392i
$263$	6.04243	−	6.04243i	0.372592	−	0.372592i	−0.495828	−	0.868421i	$-0.665135\pi$
$263$	6.04243	−	6.04243i	0.372592	−	0.372592i	0.868421	+	0.495828i	$0.165135\pi$
$264$	−5.81163	+	8.45601i	−0.357681	+	0.520431i
$265$	11.9421	−	2.80717i	0.733598	−	0.172443i
$266$	0.638019	+	9.29276i	0.0391194	+	0.569776i
$267$	−0.756620	+	0.756620i	−0.0463044	+	0.0463044i
$268$	0.527633	+	0.0741532i	0.0322303	+	0.00452963i
$269$			26.8043i			1.63429i	0.576432	+	0.817145i	$0.304444\pi$
$269$			26.8043i			1.63429i	−0.576432	+	0.817145i	$0.695556\pi$
$270$	−12.9482	−	3.05411i	−0.788002	−	0.185867i
$271$			26.1223i			1.58682i	0.608689	+	0.793409i	$0.291696\pi$
$271$			26.1223i			1.58682i	−0.608689	+	0.793409i	$0.708304\pi$
$272$	−10.4635	−	18.8766i	−0.634444	−	1.14456i
$273$	−3.10324	−	5.28351i	−0.187817	−	0.319773i
$274$	5.76543	+	17.2310i	0.348302	+	1.04096i
$275$	−20.8094	+	10.3553i	−1.25485	+	0.624449i
$276$	−7.62813	+	5.74823i	−0.459160	+	0.346003i
$277$	−15.1106	+	15.1106i	−0.907906	+	0.907906i	−0.996103	−	0.0881970i	$-0.971889\pi$
$277$	−15.1106	+	15.1106i	−0.907906	+	0.907906i	0.0881970	+	0.996103i	$0.471889\pi$
$278$	5.33506	−	10.7005i	0.319976	−	0.641773i
$279$	−0.204372			−0.0122354
$280$	16.5200	−	2.66258i	0.987259	−	0.159120i
$281$	−2.04869			−0.122215			−0.0611073	−	0.998131i	$-0.519463\pi$
$281$	−2.04869			−0.122215			−0.0611073	+	0.998131i	$0.519463\pi$
$282$	1.89031	−	3.79139i	0.112567	−	0.225774i
$283$	6.90261	−	6.90261i	0.410317	−	0.410317i	−0.471532	−	0.881849i	$-0.656299\pi$
$283$	6.90261	−	6.90261i	0.410317	−	0.410317i	0.881849	+	0.471532i	$0.156299\pi$
$284$	3.51595	+	4.66582i	0.208634	+	0.276865i
$285$	−4.22865	+	0.994008i	−0.250484	+	0.0588800i
$286$	6.19101	+	18.5029i	0.366082	+	1.09410i
$287$	−15.6154	−	26.5865i	−0.921748	−	1.56935i
$288$	−9.97228	−	9.13785i	−0.587622	−	0.538453i
$289$		−	12.1131i		−	0.712536i
$290$	−5.73214	+	3.54413i	−0.336603	+	0.208118i
$291$		−	10.8547i		−	0.636317i
$292$	−0.717999	+	5.10888i	−0.0420177	+	0.298975i
$293$	10.6207	−	10.6207i	0.620470	−	0.620470i	−0.325182	−	0.945652i	$-0.605425\pi$
$293$	10.6207	−	10.6207i	0.620470	−	0.620470i	0.945652	+	0.325182i	$0.105425\pi$
$294$	−1.42699	+	7.59220i	−0.0832235	+	0.442786i
$295$	−7.31596	−	4.53112i	−0.425952	−	0.263812i
$296$	−16.5717	−	11.3894i	−0.963213	−	0.661995i
$297$	−13.8288	+	13.8288i	−0.802427	+	0.802427i
$298$	23.5171	+	11.7252i	1.36231	+	0.679221i
$299$			18.1628i			1.05038i
$300$	2.47046	+	7.40220i	0.142632	+	0.427366i
$301$	−20.2425	−	5.26238i	−1.16676	−	0.303319i
$302$	−19.6179	−	9.78109i	−1.12888	−	0.562838i
$303$	−7.77606	+	7.77606i	−0.446723	+	0.446723i
$304$	−9.57203	−	2.74470i	−0.548993	−	0.157420i
$305$	7.31128	−	11.8048i	0.418643	−	0.675941i
$306$	−5.78927	−	17.3023i	−0.330951	−	0.989105i
$307$	−0.0625648	−	0.0625648i	−0.00357076	−	0.00357076i	0.705319	−	0.708890i	$-0.250804\pi$
$307$	−0.0625648	−	0.0625648i	−0.00357076	−	0.00357076i	−0.708890	+	0.705319i	$0.750804\pi$
$308$	9.44218	−	22.7143i	0.538018	−	1.29427i
$309$	−7.60452			−0.432606
$310$	0.142144	+	0.229898i	0.00807325	+	0.0130574i
$311$		−	6.06288i		−	0.343795i	−0.985115	−	0.171897i	$-0.945010\pi$
$311$		−	6.06288i		−	0.343795i	0.985115	−	0.171897i	$-0.0549897\pi$
$312$	6.44082	−	1.19375i	0.364640	−	0.0675828i
$313$	−7.81668	−	7.81668i	−0.441825	−	0.441825i	0.450800	−	0.892625i	$-0.351139\pi$
$313$	−7.81668	−	7.81668i	−0.441825	−	0.441825i	−0.892625	+	0.450800i	$0.851139\pi$
$314$	4.98237	+	14.8907i	0.281172	+	0.840331i
$315$	14.1417	+	0.331866i	0.796795	+	0.0186985i
$316$	2.15608	−	1.62473i	0.121289	−	0.0913983i
$317$	9.46406	−	9.46406i	0.531555	−	0.531555i	−0.389480	−	0.921035i	$-0.627345\pi$
$317$	9.46406	−	9.46406i	0.531555	−	0.531555i	0.921035	+	0.389480i	$0.127345\pi$
$318$	−5.41845	−	2.70153i	−0.303851	−	0.151494i
$319$			9.90713i			0.554693i
$320$	−3.34329	+	17.5733i	−0.186895	+	0.982380i
$321$			1.11075i			0.0619958i
$322$	15.0447	−	17.2629i	0.838409	−	0.962022i
$323$	−9.49798	−	9.49798i	−0.528482	−	0.528482i
$324$	−4.68238	−	6.21371i	−0.260132	−	0.345206i
$325$	14.0686	+	4.71927i	0.780388	+	0.261778i
$326$	5.84695	+	17.4747i	0.323833	+	0.967832i
$327$	3.52934	−	3.52934i	0.195173	−	0.195173i
$328$	32.4100	−	6.00692i	1.78954	−	0.331677i
$329$	−2.55543	+	9.82985i	−0.140885	+	0.541937i
$330$	11.1653	+	2.63357i	0.614628	+	0.144973i
$331$		−	2.31382i		−	0.127179i	−0.997976	−	0.0635896i	$-0.979745\pi$
$331$		−	2.31382i		−	0.127179i	0.997976	−	0.0635896i	$-0.0202549\pi$
$332$	−33.1284	−	4.65584i	−1.81816	−	0.255522i
$333$	−12.0199	−	12.0199i	−0.658687	−	0.658687i
$334$	26.1632	−	8.75410i	1.43159	−	0.479003i
$335$	−0.136315	−	0.579903i	−0.00744769	−	0.0316835i
$336$	−7.11050	−	4.20049i	−0.387909	−	0.229155i
$337$	2.84780	+	2.84780i	0.155130	+	0.155130i	0.780405	−	0.625275i	$-0.215013\pi$
$337$	2.84780	+	2.84780i	0.155130	+	0.155130i	−0.625275	+	0.780405i	$0.715013\pi$
$338$	−2.64527	+	5.30561i	−0.143884	+	0.288587i
$339$		−	3.69266i		−	0.200558i
$340$	−15.4368	+	18.5464i	−0.837178	+	1.00582i
$341$	0.397344			0.0215174
$342$	−7.53348	−	3.75605i	−0.407364	−	0.203104i
$343$	−0.414602	−	18.5156i	−0.0223864	−	0.999749i
$344$	12.6645	−	18.4271i	0.682825	−	0.993521i
$345$	9.07865	+	5.62284i	0.488778	+	0.302723i
$346$	0.342246	−	0.114514i	0.0183993	−	0.00615632i
$347$	−16.5111	+	16.5111i	−0.886362	+	0.886362i	−0.994172	−	0.107810i	$-0.965616\pi$
$347$	−16.5111	+	16.5111i	−0.886362	+	0.886362i	0.107810	+	0.994172i	$0.465616\pi$
$348$	3.29376	+	0.462902i	0.176564	+	0.0248142i
$349$			10.0277i			0.536770i	0.963312	+	0.268385i	$0.0864899\pi$
$349$			10.0277i			0.536770i	−0.963312	+	0.268385i	$0.913510\pi$
$350$	−9.46246	−	16.1388i	−0.505790	−	0.862657i
$351$	12.4854			0.666422
$352$	19.3883	+	17.7660i	1.03340	+	0.946930i
$353$	−12.7496	−	12.7496i	−0.678591	−	0.678591i	0.281091	−	0.959681i	$-0.409304\pi$
$353$	−12.7496	−	12.7496i	−0.678591	−	0.678591i	−0.959681	+	0.281091i	$0.909304\pi$
$354$	1.34765	+	4.02768i	0.0716266	+	0.214069i
$355$	3.43926	−	5.55304i	0.182537	−	0.294725i
$356$	1.65041	+	2.19017i	0.0874718	+	0.116079i
$357$	−5.64186	−	9.60573i	−0.298599	−	0.508389i
$358$	−14.5446	−	7.25167i	−0.768708	−	0.383263i
$359$		−	5.65203i		−	0.298303i	−0.988814	−	0.149151i	$-0.952346\pi$
$359$		−	5.65203i		−	0.298303i	0.988814	−	0.149151i	$-0.0476542\pi$
$360$	−5.48625	+	14.0920i	−0.289151	+	0.742714i
$361$	12.8027			0.673825
$362$	−4.58338	−	2.28519i	−0.240897	−	0.120107i
$363$	5.85484	−	5.85484i	0.307299	−	0.307299i
$364$	−14.5164	+	5.99142i	−0.760864	+	0.314036i
$365$	5.61499	−	1.31989i	0.293902	−	0.0690861i
$366$	−6.49895	+	2.17452i	−0.339705	+	0.113664i
$367$	24.6260	−	24.6260i	1.28547	−	1.28547i	0.347958	−	0.937510i	$-0.386875\pi$
$367$	24.6260	−	24.6260i	1.28547	−	1.28547i	0.937510	−	0.347958i	$-0.113125\pi$
$368$	11.8681	+	21.4104i	0.618666	+	1.11609i
$369$	27.8648			1.45058
$370$	−5.16116	+	21.8812i	−0.268316	+	1.13755i
$371$	14.0483	+	3.65208i	0.729351	+	0.189607i
$372$	0.0185656	−	0.132103i	0.000962581	−	0.00684920i
$373$	13.0678	+	13.0678i	0.676627	+	0.676627i	0.959235	−	0.282608i	$-0.0911997\pi$
$373$	13.0678	+	13.0678i	0.676627	+	0.676627i	−0.282608	+	0.959235i	$0.591200\pi$
$374$	11.2556	+	33.6394i	0.582014	+	1.73945i
$375$	6.71428	−	5.57119i	0.346724	−	0.287695i
$376$	−8.94825	−	6.14993i	−0.461471	−	0.317158i
$377$	4.47236	−	4.47236i	0.230338	−	0.230338i
$378$	−11.8668	−	10.3420i	−0.610361	−	0.531934i
$379$	1.25274			0.0643491			0.0321746	−	0.999482i	$-0.489757\pi$
$379$	1.25274			0.0643491			0.0321746	+	0.999482i	$0.489757\pi$
$380$	1.01448	+	11.0868i	0.0520415	+	0.568741i
$381$	5.75317			0.294744
$382$	10.5175	+	5.24380i	0.538120	+	0.268296i
$383$	3.82945	+	3.82945i	0.195676	+	0.195676i	0.798143	−	0.602468i	$-0.205816\pi$
$383$	3.82945	+	3.82945i	0.195676	+	0.195676i	−0.602468	+	0.798143i	$0.705816\pi$
$384$	6.81244	−	5.61580i	0.347646	−	0.286580i
$385$	−27.4946	−	0.645221i	−1.40125	−	0.0328835i
$386$	−7.06291	+	2.36322i	−0.359492	+	0.120285i
$387$	13.3656	−	13.3656i	0.679412	−	0.679412i
$388$	−27.5492	−	3.87175i	−1.39860	−	0.196558i
$389$	34.3824			1.74326			0.871629	−	0.490167i	$-0.163064\pi$
$389$	34.3824			1.74326			0.871629	+	0.490167i	$0.163064\pi$
$390$	−3.85145	−	6.22919i	−0.195026	−	0.315427i
$391$			33.0211i			1.66995i
$392$	18.7599	+	6.32971i	0.947519	+	0.319699i
$393$	−10.7628	+	10.7628i	−0.542911	+	0.542911i
$394$	24.2140	−	8.10190i	1.21988	−	0.408168i
$395$	−2.56607	−	1.58929i	−0.129113	−	0.0799659i
$396$	13.3787	+	17.7541i	0.672305	+	0.892176i
$397$	−14.4139	−	14.4139i	−0.723411	−	0.723411i	0.245888	−	0.969298i	$-0.420921\pi$
$397$	−14.4139	−	14.4139i	−0.723411	−	0.723411i	−0.969298	+	0.245888i	$0.920921\pi$
$398$	9.23809	+	4.60593i	0.463064	+	0.230875i
$399$	−4.97444	−	1.29319i	−0.249033	−	0.0647403i
$400$	19.6679	−	3.62973i	0.983393	−	0.181486i
$401$	−4.95208			−0.247295			−0.123647	−	0.992326i	$-0.539459\pi$
$401$	−4.95208			−0.247295			−0.123647	+	0.992326i	$0.539459\pi$
$402$	−0.131185	+	0.263117i	−0.00654292	+	0.0131231i
$403$	−0.179373	−	0.179373i	−0.00893519	−	0.00893519i
$404$	16.9619	+	22.5091i	0.843886	+	1.11987i
$405$	−4.58024	+	7.39527i	−0.227594	+	0.367474i
$406$	−7.95533	+	0.546194i	−0.394816	+	0.0271071i
$407$	23.3693	+	23.3693i	1.15837	+	1.15837i
$408$	11.7098	−	2.17031i	0.579721	−	0.107446i
$409$	−16.1141			−0.796792			−0.398396	−	0.917213i	$-0.630433\pi$
$409$	−16.1141			−0.796792			−0.398396	+	0.917213i	$0.630433\pi$
$410$	−19.3804	−	31.3451i	−0.957130	−	1.54802i
$411$	−10.0261			−0.494552
$412$	−2.71243	+	19.3002i	−0.133632	+	0.950851i
$413$	−5.15674	−	8.77976i	−0.253746	−	0.432024i
$414$	6.56638	+	19.6248i	0.322720	+	0.964506i
$415$	8.55878	+	36.4102i	0.420134	+	1.78731i
$416$	−0.732365	−	16.7725i	−0.0359072	−	0.822340i
$417$	4.66526	+	4.66526i	0.228459	+	0.228459i
$418$	14.6467	+	7.30258i	0.716395	+	0.357181i
$419$		−	18.6093i		−	0.909125i	−0.890715	−	0.454562i	$-0.849796\pi$
$419$		−	18.6093i		−	0.909125i	0.890715	−	0.454562i	$-0.150204\pi$
$420$	−1.49917	+	9.11079i	−0.0731522	+	0.444561i
$421$			28.1609i			1.37248i	0.727375	+	0.686240i	$0.240740\pi$
$421$			28.1609i			1.37248i	−0.727375	+	0.686240i	$0.759260\pi$
$422$	−12.9154	+	25.9043i	−0.628711	+	1.26100i
$423$	−6.49039	−	6.49039i	−0.315574	−	0.315574i
$424$	−8.78914	+	12.7883i	−0.426839	+	0.621057i
$425$	25.5776	+	8.57990i	1.24070	+	0.416186i
$426$	−3.05713	+	1.02291i	−0.148119	+	0.0495599i
$427$	14.1667	−	8.32075i	0.685577	−	0.402669i
$428$	2.81906	+	0.396189i	0.136264	+	0.0191505i
$429$	−10.7662			−0.519798
$430$	−24.3310	−	5.73899i	−1.17334	−	0.276759i
$431$	−18.4841			−0.890346			−0.445173	−	0.895445i	$-0.646858\pi$
$431$	−18.4841			−0.890346			−0.445173	+	0.895445i	$0.646858\pi$
$432$	14.7179	−	8.15830i	0.708114	−	0.392517i
$433$	10.5528	+	10.5528i	0.507134	+	0.507134i	0.913646	−	0.406512i	$-0.133255\pi$
$433$	10.5528	+	10.5528i	0.507134	+	0.507134i	−0.406512	+	0.913646i	$0.633255\pi$
$434$	0.0219061	+	0.319064i	0.00105153	+	0.0153155i
$435$	−0.850948	−	3.62005i	−0.0407998	−	0.173568i
$436$	−7.69854	−	10.2163i	−0.368693	−	0.489271i
$437$	10.7729	+	10.7729i	0.515339	+	0.515339i
$438$	−2.54767	−	1.27022i	−0.121732	−	0.0606933i
$439$	−5.78596			−0.276149			−0.138074	−	0.990422i	$-0.544091\pi$
$439$	−5.78596			−0.276149			−0.138074	+	0.990422i	$0.544091\pi$
$440$	10.6665	−	27.3979i	0.508504	−	1.30615i
$441$	14.6182	+	8.15138i	0.696105	+	0.388161i
$442$	10.1047	−	20.2669i	0.480631	−	0.963999i
$443$	−0.444980	−	0.444980i	−0.0211416	−	0.0211416i	0.696457	−	0.717599i	$-0.254759\pi$
$443$	−0.444980	−	0.444980i	−0.0211416	−	0.0211416i	−0.717599	+	0.696457i	$0.754759\pi$
$444$	8.86136	−	6.67754i	0.420542	−	0.316902i
$445$	1.61441	−	2.60663i	0.0765305	−	0.123566i
$446$	0.469556	+	1.40335i	0.0222341	+	0.0664506i
$447$	−10.2531	+	10.2531i	−0.484956	+	0.484956i
$448$	−13.1970	+	16.5481i	−0.623500	+	0.781823i
$449$			29.6129i			1.39752i	0.715356	+	0.698761i	$0.246265\pi$
$449$			29.6129i			1.39752i	−0.715356	+	0.698761i	$0.753735\pi$
$450$	16.9072	+	0.0129180i	0.797014	+	0.000608959i
$451$	−54.1753			−2.55101
$452$	−9.37192	−	1.31712i	−0.440818	−	0.0619522i
$453$	8.55311	−	8.55311i	0.401860	−	0.401860i
$454$	−8.85512	−	26.4651i	−0.415591	−	1.24207i
$455$	12.1206	+	12.7031i	0.568221	+	0.595531i
$456$	3.11220	−	4.52830i	0.145742	−	0.212057i
$457$	−18.0346	−	18.0346i	−0.843623	−	0.843623i	0.145705	−	0.989328i	$-0.453455\pi$
$457$	−18.0346	−	18.0346i	−0.843623	−	0.843623i	−0.989328	+	0.145705i	$0.953455\pi$
$458$	5.90437	−	11.8424i	0.275893	−	0.553357i
$459$	22.6992			1.05951
$460$	17.5089	−	21.0359i	0.816358	−	0.980803i
$461$	17.8301			0.830430			0.415215	−	0.909723i	$-0.363706\pi$
$461$	17.8301			0.830430			0.415215	+	0.909723i	$0.363706\pi$
$462$	10.2328	+	8.91791i	0.476071	+	0.414899i
$463$	−9.68008	+	9.68008i	−0.449872	+	0.449872i	−0.895312	−	0.445440i	$-0.853047\pi$
$463$	−9.68008	+	9.68008i	−0.449872	+	0.449872i	0.445440	+	0.895312i	$0.353047\pi$
$464$	2.34968	−	8.19440i	0.109081	−	0.380415i
$465$	−0.145189	+	0.0341289i	−0.00673299	+	0.00158269i
$466$	25.4692	−	8.52189i	1.17984	−	0.394769i
$467$	21.3193	+	21.3193i	0.986541	+	0.986541i	0.999911	−	0.0133696i	$-0.00425581\pi$
$467$	21.3193	+	21.3193i	0.986541	+	0.986541i	−0.0133696	+	0.999911i	$0.504256\pi$
$468$	1.97517	−	14.0542i	0.0913024	−	0.649657i
$469$	0.177343	−	0.682178i	0.00818895	−	0.0315000i
$470$	−2.78687	+	11.8152i	−0.128549	+	0.544995i
$471$	−8.66438			−0.399233
$472$	10.7029	−	1.98369i	0.492641	−	0.0913066i
$473$	−25.9857	+	25.9857i	−1.19482	+	1.19482i
$474$	0.472687	+	1.41271i	0.0217112	+	0.0648879i
$475$	11.1437	−	5.54540i	0.511307	−	0.254440i
$476$	−26.3916	+	10.8927i	−1.20966	+	0.499268i
$477$	−9.27571	+	9.27571i	−0.424706	+	0.424706i
$478$	10.4148	−	20.8889i	0.476361	−	0.955434i
$479$	−33.4261			−1.52728			−0.763639	−	0.645644i	$-0.776589\pi$
$479$	−33.4261			−1.52728			−0.763639	+	0.645644i	$0.776589\pi$
$480$	−8.61043	−	4.82636i	−0.393011	−	0.220292i
$481$		−	21.0992i		−	0.962040i
$482$	8.28868	−	16.6246i	0.377539	−	0.757228i
$483$	6.39919	+	10.8951i	0.291173	+	0.495745i
$484$	−12.7712	−	16.9478i	−0.580507	−	0.770356i
$485$	7.11739	+	30.2784i	0.323184	+	1.37487i
$486$	20.9975	−	7.02569i	0.952467	−	0.318692i
$487$	−8.32102	−	8.32102i	−0.377062	−	0.377062i	0.492979	−	0.870041i	$-0.335908\pi$
$487$	−8.32102	−	8.32102i	−0.377062	−	0.377062i	−0.870041	+	0.492979i	$0.835908\pi$
$488$	3.20082	+	17.2699i	0.144894	+	0.781770i
$489$	−10.1679			−0.459808
$490$	−0.997708	−	22.1134i	−0.0450719	−	0.998984i
$491$			1.35905i			0.0613331i	0.999530	+	0.0306665i	$0.00976299\pi$
$491$			1.35905i			0.0613331i	−0.999530	+	0.0306665i	$0.990237\pi$
$492$	−2.53130	+	18.0113i	−0.114120	+	0.812012i
$493$	8.13101	−	8.13101i	0.366202	−	0.366202i
$494$	−3.31536	−	9.90855i	−0.149165	−	0.445807i
$495$	13.0869	−	21.1301i	0.588210	−	0.949726i
$496$	−0.328652	−	0.0942385i	−0.0147569	−	0.00423143i
$497$	6.66410	−	3.91412i	0.298926	−	0.175572i
$498$	8.23669	−	16.5203i	0.369095	−	0.740291i
$499$	3.36535			0.150654			0.0753269	−	0.997159i	$-0.476000\pi$
$499$	3.36535			0.150654			0.0753269	+	0.997159i	$0.476000\pi$
$500$	−11.7447	−	19.0279i	−0.525239	−	0.850955i
$501$			15.2234i			0.680133i
$502$	−14.2344	−	7.09700i	−0.635313	−	0.316755i
$503$	−0.00647766	−	0.00647766i	−0.000288825	−	0.000288825i	0.706962	−	0.707251i	$-0.250065\pi$
$503$	−0.00647766	−	0.00647766i	−0.000288825	−	0.000288825i	−0.707251	+	0.706962i	$0.750065\pi$
$504$	−13.5188	+	11.7218i	−0.602173	+	0.522129i
$505$	16.5919	−	26.7893i	0.738330	−	1.19211i
$506$	−12.7665	−	38.1549i	−0.567540	−	1.69619i
$507$	−2.31317	−	2.31317i	−0.102731	−	0.102731i
$508$	2.05208	−	14.6015i	0.0910463	−	0.647835i
$509$		−	32.6060i		−	1.44524i	−0.691247	−	0.722618i	$-0.742938\pi$
$509$		−	32.6060i		−	1.44524i	0.691247	−	0.722618i	$-0.257062\pi$
$510$	−7.00216	−	11.3250i	−0.310061	−	0.501481i
$511$	6.60528	+	1.71715i	0.292200	+	0.0759623i
$512$	−11.8229	−	19.2930i	−0.522504	−	0.852637i
$513$	7.40548	−	7.40548i	0.326960	−	0.326960i
$514$	−21.2438	+	7.10810i	−0.937025	+	0.313525i
$515$	21.2121	−	4.98624i	0.934719	−	0.219720i
$516$	7.42513	+	9.85345i	0.326873	+	0.433774i
$517$	12.6187	+	12.6187i	0.554972	+	0.554972i
$518$	−17.4770	+	20.0537i	−0.767894	+	0.881110i
$519$			0.199141i			0.00874131i
$520$	−17.1834	+	7.55307i	−0.753541	+	0.331224i
$521$			21.6501i			0.948508i	0.880388	+	0.474254i	$0.157282\pi$
$521$			21.6501i			0.948508i	−0.880388	+	0.474254i	$0.842718\pi$
$522$	3.21547	−	6.44924i	0.140737	−	0.282276i
$523$	−8.03977	+	8.03977i	−0.351554	+	0.351554i	−0.860688	−	0.509133i	$-0.829966\pi$
$523$	−8.03977	+	8.03977i	−0.351554	+	0.351554i	0.509133	+	0.860688i	$0.329966\pi$
$524$	23.4769	+	31.1547i	1.02559	+	1.36100i
$525$	10.1019	−	2.12582i	0.440883	−	0.0927782i
$526$	11.4604	−	3.83459i	0.499696	−	0.167196i
$527$	−0.326110	−	0.326110i	−0.0142056	−	0.0142056i
$528$	−12.6913	+	7.03493i	−0.552316	+	0.306156i
$529$		−	14.4536i		−	0.628415i
$530$	16.8857	+	3.98285i	0.733466	+	0.173004i
$531$	9.20190			0.399328
$532$	−5.05641	+	12.1638i	−0.219223	+	0.527367i
$533$	24.4563	+	24.4563i	1.05932	+	1.05932i
$534$	−1.43504	+	0.480159i	−0.0621003	+	0.0207785i
$535$	−0.728309	−	3.09833i	−0.0314876	−	0.133952i
$536$	0.620996	+	0.426797i	0.0268229	+	0.0184348i
$537$	6.34125	−	6.34125i	0.273645	−	0.273645i
$538$	−16.9140	+	33.9244i	−0.729216	+	1.46258i
$539$	−28.4210	−	15.8481i	−1.22418	−	0.682625i
$540$	−14.4604	−	12.0359i	−0.622277	−	0.517943i
$541$		−	6.87080i		−	0.295399i	−0.989032	−	0.147699i	$-0.952813\pi$
$541$		−	6.87080i		−	0.295399i	0.989032	−	0.147699i	$-0.0471868\pi$
$542$	−16.4837	+	33.0612i	−0.708034	+	1.42010i
$543$	1.99829	−	1.99829i	0.0857548	−	0.0857548i
$544$	−1.33148	−	30.4934i	−0.0570868	−	1.30739i
$545$	−7.53061	+	12.1589i	−0.322576	+	0.520832i
$546$	−0.593556	−	8.64516i	−0.0254019	−	0.369979i
$547$	13.7972	−	13.7972i	0.589925	−	0.589925i	−0.347686	−	0.937611i	$-0.613032\pi$
$547$	13.7972	−	13.7972i	0.589925	−	0.589925i	0.937611	+	0.347686i	$0.113032\pi$
$548$	−3.57619	+	25.4462i	−0.152767	+	1.08701i
$549$			14.8479i			0.633693i
$550$	−32.8713	−	0.0251154i	−1.40164	−	0.00107092i
$551$		−	5.30539i		−	0.226017i
$552$	−13.2816	+	2.46163i	−0.565303	+	0.104774i
$553$	−1.80872	−	3.07950i	−0.0769148	−	0.130954i
$554$	−28.6594	+	9.58933i	−1.21762	+	0.407412i
$555$	−10.5464	−	6.53188i	−0.447669	−	0.277263i
$556$	13.5044	−	10.1763i	0.572714	−	0.431573i
$557$	−18.5084	+	18.5084i	−0.784225	+	0.784225i	−0.980541	−	0.196316i	$-0.937102\pi$
$557$	−18.5084	+	18.5084i	−0.784225	+	0.784225i	0.196316	+	0.980541i	$0.437102\pi$
$558$	−0.258659	−	0.128963i	−0.0109499	−	0.00545942i
$559$	23.4614			0.992311
$560$	22.5883	+	7.05458i	0.954531	+	0.298111i
$561$	−19.5736			−0.826398
$562$	−2.59288	−	1.29276i	−0.109374	−	0.0545318i
$563$	−9.06869	+	9.06869i	−0.382200	+	0.382200i	−0.871894	−	0.489694i	$-0.837108\pi$
$563$	−9.06869	+	9.06869i	−0.382200	+	0.382200i	0.489694	+	0.871894i	$0.337108\pi$
$564$	4.78487	−	3.60567i	0.201479	−	0.151826i
$565$	2.42125	+	10.3003i	0.101863	+	0.433339i
$566$	13.0918	−	4.38047i	0.550290	−	0.184125i
$567$	−8.87494	+	5.21264i	−0.372712	+	0.218910i
$568$	1.50568	+	8.12382i	0.0631769	+	0.340868i
$569$			17.4892i			0.733186i	0.930381	+	0.366593i	$0.119476\pi$
$569$			17.4892i			0.733186i	−0.930381	+	0.366593i	$0.880524\pi$
$570$	−5.97914	−	1.41031i	−0.250439	−	0.0590713i
$571$		−	33.1973i		−	1.38926i	−0.719365	−	0.694632i	$-0.755567\pi$
$571$		−	33.1973i		−	1.38926i	0.719365	−	0.694632i	$-0.244433\pi$
$572$	−3.84017	+	27.3245i	−0.160565	+	1.14249i
$573$	−4.58546	+	4.58546i	−0.191560	+	0.191560i
$574$	−2.98676	−	43.5022i	−0.124665	−	1.81575i
$575$	−29.0109	−	9.73160i	−1.20984	−	0.405836i
$576$	−6.85506	−	17.8578i	−0.285628	−	0.744076i
$577$	−1.72186	+	1.72186i	−0.0716819	+	0.0716819i	−0.742039	−	0.670357i	$-0.766141\pi$
$577$	−1.72186	+	1.72186i	−0.0716819	+	0.0716819i	0.670357	+	0.742039i	$0.266141\pi$
$578$	7.64360	−	15.3307i	0.317932	−	0.637674i
$579$		−	4.10966i		−	0.170791i
$580$	−9.49117	+	0.868470i	−0.394099	+	0.0360612i
$581$	−11.1348	+	42.8317i	−0.461950	+	1.77696i
$582$	6.84954	−	13.7381i	0.283923	−	0.569462i
$583$	18.0340	−	18.0340i	0.746893	−	0.746893i
$584$	−4.13251	+	6.01287i	−0.171005	+	0.248815i
$585$	−15.4465	+	3.63094i	−0.638634	+	0.150121i
$586$	20.1438	−	6.74003i	0.832132	−	0.278428i
$587$	−3.21075	−	3.21075i	−0.132522	−	0.132522i	0.637734	−	0.770256i	$-0.279872\pi$
$587$	−3.21075	−	3.21075i	−0.132522	−	0.132522i	−0.770256	+	0.637734i	$0.779872\pi$
$588$	−6.59685	+	8.70846i	−0.272050	+	0.359131i
$589$	−0.212783			−0.00876756
$590$	−6.40007	−	10.3512i	−0.263487	−	0.426153i
$591$			14.0893i			0.579555i
$592$	−13.7868	−	24.8718i	−0.566633	−	1.02223i
$593$	−6.17288	−	6.17288i	−0.253490	−	0.253490i	0.568910	−	0.822400i	$-0.307365\pi$
$593$	−6.17288	−	6.17288i	−0.253490	−	0.253490i	−0.822400	+	0.568910i	$0.807365\pi$
$594$	−26.2283	+	8.77589i	−1.07616	+	0.360079i
$595$	22.0359	+	23.0950i	0.903384	+	0.946802i
$596$	22.3651	+	29.6794i	0.916111	+	1.21572i
$597$	−4.02767	+	4.02767i	−0.164842	+	0.164842i
$598$	−11.4611	+	22.9874i	−0.468678	+	0.940024i
$599$		−	3.66118i		−	0.149592i	−0.997199	−	0.0747960i	$-0.976169\pi$
$599$		−	3.66118i		−	0.149592i	0.997199	−	0.0747960i	$-0.0238306\pi$
$600$	−1.54424	+	10.9273i	−0.0630432	+	0.446107i
$601$			37.3577i			1.52385i	0.647663	+	0.761927i	$0.275746\pi$
$601$			37.3577i			1.52385i	−0.647663	+	0.761927i	$0.724254\pi$
$602$	−22.2989	−	19.4336i	−0.908835	−	0.792056i
$603$	0.450424	+	0.450424i	0.0183427	+	0.0183427i
$604$	−18.6569	−	24.7585i	−0.759138	−	1.00741i
$605$	−12.4926	+	20.1705i	−0.507895	+	0.820049i
$606$	−14.7484	+	4.93477i	−0.599114	+	0.200461i
$607$	11.7160	−	11.7160i	0.475537	−	0.475537i	−0.428164	−	0.903701i	$-0.640839\pi$
$607$	11.7160	−	11.7160i	0.475537	−	0.475537i	0.903701	+	0.428164i	$0.140839\pi$
$608$	−10.3827	−	9.51390i	−0.421073	−	0.385840i
$609$	1.10707	−	4.25850i	0.0448607	−	0.172563i
$610$	16.7024	−	10.3270i	0.676261	−	0.418126i
$611$		−	11.3929i		−	0.460909i
$612$	3.59098	−	25.5514i	0.145157	−	1.03285i
$613$	−1.94839	−	1.94839i	−0.0786947	−	0.0786947i	0.666664	−	0.745359i	$-0.267722\pi$
$613$	−1.94839	−	1.94839i	−0.0786947	−	0.0786947i	−0.745359	+	0.666664i	$0.767722\pi$
$614$	−0.0397043	−	0.118663i	−0.00160234	−	0.00478887i
$615$	19.7956	−	4.65325i	0.798235	−	0.187637i
$616$	26.2834	−	22.7897i	1.05899	−	0.918223i
$617$	−27.8887	−	27.8887i	−1.12276	−	1.12276i	−0.991325	−	0.131431i	$-0.958043\pi$
$617$	−27.8887	−	27.8887i	−1.12276	−	1.12276i	−0.131431	−	0.991325i	$-0.541957\pi$
$618$	−9.62450	−	4.79859i	−0.387154	−	0.193028i
$619$		−	29.6526i		−	1.19184i	−0.803045	−	0.595919i	$-0.796788\pi$
$619$		−	29.6526i		−	1.19184i	0.803045	−	0.595919i	$-0.203212\pi$
$620$	0.0348317	+	0.380662i	0.00139887	+	0.0152877i
$621$	−25.7462			−1.03316
$622$	3.82579	−	7.67336i	0.153400	−	0.307674i
$623$	3.12818	−	1.83732i	0.125328	−	0.0736105i
$624$	8.90497	+	2.55343i	0.356484	+	0.102219i
$625$	−15.0759	+	19.9429i	−0.603036	+	0.797714i
$626$	−4.96055	−	14.8255i	−0.198263	−	0.592545i
$627$	−6.38577	+	6.38577i	−0.255023	+	0.255023i
$628$	−3.09047	+	21.9901i	−0.123323	+	0.877499i
$629$		−	38.3595i		−	1.52949i
$630$	17.6887	+	9.34369i	0.704736	+	0.372262i
$631$	23.5926			0.939205			0.469603	−	0.882878i	$-0.344397\pi$
$631$	23.5926			0.939205			0.469603	+	0.882878i	$0.344397\pi$
$632$	3.75404	−	0.695778i	0.149328	−	0.0276766i
$633$	−11.2939	−	11.2939i	−0.448892	−	0.448892i
$634$	17.9500	−	6.00599i	0.712885	−	0.238529i
$635$	−16.0480	+	3.77231i	−0.636844	+	0.149700i
$636$	−5.15303	−	6.83828i	−0.204331	−	0.271155i
$637$	5.67579	+	19.9843i	0.224883	+	0.791808i
$638$	−6.25157	+	12.5387i	−0.247502	+	0.496414i
$639$			6.98452i			0.276303i
$640$	−15.3205	+	20.1317i	−0.605594	+	0.795774i
$641$	−35.1428			−1.38806			−0.694028	−	0.719948i	$-0.744166\pi$
$641$	−35.1428			−1.38806			−0.694028	+	0.719948i	$0.744166\pi$
$642$	−0.700901	+	1.40579i	−0.0276624	+	0.0554822i
$643$	10.1811	−	10.1811i	0.401505	−	0.401505i	−0.477258	−	0.878763i	$-0.658369\pi$
$643$	10.1811	−	10.1811i	0.401505	−	0.401505i	0.878763	+	0.477258i	$0.158369\pi$
$644$	29.9342	−	12.3549i	1.17957	−	0.486851i
$645$	7.26316	−	11.7271i	0.285987	−	0.461755i
$646$	−6.02752	−	18.0143i	−0.237150	−	0.708764i
$647$	−5.73728	+	5.73728i	−0.225556	+	0.225556i	−0.810833	−	0.585277i	$-0.800986\pi$
$647$	−5.73728	+	5.73728i	−0.225556	+	0.225556i	0.585277	+	0.810833i	$0.300986\pi$
$648$	−2.00519	−	10.8189i	−0.0787714	−	0.425007i
$649$	−17.8905			−0.702264
$650$	14.8277	+	14.8504i	0.581592	+	0.582481i
$651$	−0.170796	−	0.0444011i	−0.00669400	−	0.00174022i
$652$	−3.62675	+	25.8060i	−0.142035	+	1.01064i
$653$	11.4985	+	11.4985i	0.449970	+	0.449970i	0.895345	−	0.445374i	$-0.146929\pi$
$653$	11.4985	+	11.4985i	0.449970	+	0.449970i	−0.445374	+	0.895345i	$0.646929\pi$
$654$	6.69391	−	2.23976i	0.261753	−	0.0875814i
$655$	22.9647	−	37.0789i	0.897307	−	1.44879i
$656$	44.8095	+	12.8488i	1.74952	+	0.501661i
$657$	−4.36129	+	4.36129i	−0.170150	+	0.170150i
$658$	−9.43704	+	10.8284i	−0.367894	+	0.422136i
$659$	−30.8901			−1.20331			−0.601653	−	0.798758i	$-0.705491\pi$
$659$	−30.8901			−1.20331			−0.601653	+	0.798758i	$0.705491\pi$
$660$	12.4693	+	10.3786i	0.485365	+	0.403987i
$661$	11.2071			0.435905			0.217953	−	0.975959i	$-0.430062\pi$
$661$	11.2071			0.435905			0.217953	+	0.975959i	$0.430062\pi$
$662$	1.46006	−	2.92844i	0.0567470	−	0.113817i
$663$	8.83608	+	8.83608i	0.343165	+	0.343165i
$664$	−38.9903	−	26.7972i	−1.51312	−	1.03993i
$665$	14.7237	+	0.345524i	0.570960	+	0.0133988i
$666$	−7.62796	−	22.7975i	−0.295577	−	0.883386i
$667$	−9.22246	+	9.22246i	−0.357095	+	0.357095i
$668$	38.6369	+	5.43000i	1.49491	+	0.210093i
$669$	−0.816561			−0.0315701
$670$	0.193405	−	0.819959i	0.00747189	−	0.0316778i
$671$		−	28.8676i		−	1.11442i
$672$	−6.34866	−	9.80311i	−0.244905	−	0.378163i
$673$	26.8667	−	26.8667i	1.03563	−	1.03563i	0.0362934	−	0.999341i	$-0.488445\pi$
$673$	26.8667	−	26.8667i	1.03563	−	1.03563i	0.999341	−	0.0362934i	$-0.0115551\pi$
$674$	1.80724	+	5.40127i	0.0696124	+	0.208049i
$675$	−6.68966	+	19.9426i	−0.257485	+	0.767591i
$676$	−6.69587	+	5.04571i	−0.257533	+	0.194066i
$677$	−11.5202	−	11.5202i	−0.442758	−	0.442758i	0.450180	−	0.892938i	$-0.351360\pi$
$677$	−11.5202	−	11.5202i	−0.442758	−	0.442758i	−0.892938	+	0.450180i	$0.851360\pi$
$678$	2.33013	−	4.67353i	0.0894882	−	0.179486i
$679$	−9.25959	+	35.6184i	−0.355351	+	1.36691i
$680$	−31.2404	+	13.7319i	−1.19801	+	0.526595i
$681$	15.3991			0.590095
$682$	0.502891	+	0.250732i	0.0192567	+	0.00960101i
$683$	−28.3949	−	28.3949i	−1.08650	−	1.08650i	−0.995886	−	0.0906141i	$-0.971117\pi$
$683$	−28.3949	−	28.3949i	−1.08650	−	1.08650i	−0.0906141	−	0.995886i	$-0.528883\pi$
$684$	−7.16445	−	9.50752i	−0.273940	−	0.363529i
$685$	27.9670	−	6.57406i	1.06856	−	0.251182i
$686$	11.1590	−	23.6955i	0.426051	−	0.904699i
$687$	5.16310	+	5.16310i	0.196985	+	0.196985i
$688$	27.6564	−	15.3303i	1.05439	−	0.584462i
$689$	−16.2822			−0.620301
$690$	7.94208	+	12.8452i	0.302350	+	0.489009i
$691$	−14.0813			−0.535679			−0.267839	−	0.963464i	$-0.586310\pi$
$691$	−14.0813			−0.535679			−0.267839	+	0.963464i	$0.586310\pi$
$692$	0.505417	+	0.0710309i	0.0192131	+	0.00270019i
$693$	25.3578	−	14.8938i	0.963264	−	0.565767i
$694$	−31.3157	+	10.4781i	−1.18873	+	0.397744i
$695$	−16.0723	−	9.95435i	−0.609658	−	0.377590i
$696$	3.87657	+	2.66428i	0.146941	+	0.100989i
$697$	44.4629	+	44.4629i	1.68415	+	1.68415i
$698$	−6.32765	+	12.6913i	−0.239505	+	0.480374i
$699$			14.8196i			0.560529i
$700$	−1.79208	−	26.3968i	−0.0677341	−	0.997703i
$701$		−	17.8758i		−	0.675159i	−0.941297	−	0.337580i	$-0.890392\pi$
$701$		−	17.8758i		−	0.675159i	0.941297	−	0.337580i	$-0.109608\pi$
$702$	15.8019	+	7.87853i	0.596405	+	0.297356i
$703$	−12.5146	−	12.5146i	−0.471996	−	0.471996i
$704$	13.3277	+	34.7195i	0.502308	+	1.30854i
$705$	−5.69473	−	3.52702i	−0.214476	−	0.132835i
$706$	−8.09101	−	24.1814i	−0.304509	−	0.910079i
$707$	32.1494	−	18.8828i	1.20910	−	0.710159i
$708$	−0.835920	+	5.94794i	−0.0314158	+	0.223537i
$709$	−15.4871			−0.581629			−0.290815	−	0.956779i	$-0.593926\pi$
$709$	−15.4871			−0.581629			−0.290815	+	0.956779i	$0.593926\pi$
$710$	7.85689	−	4.85785i	0.294864	−	0.182312i
$711$	3.22756			0.121043
$712$	0.706777	+	3.81338i	0.0264876	+	0.142912i
$713$	0.369885	+	0.369885i	0.0138523	+	0.0138523i
$714$	−1.07912	−	15.7174i	−0.0403850	−	0.588209i
$715$	30.0314	−	7.05934i	1.12311	−	0.264004i
$716$	−13.8322	−	18.3559i	−0.516933	−	0.685991i
$717$	9.10724	+	9.10724i	0.340116	+	0.340116i
$718$	3.56654	−	7.15338i	0.133102	−	0.266962i
$719$	−26.6840			−0.995145			−0.497573	−	0.867422i	$-0.665775\pi$
$719$	−26.6840			−0.995145			−0.497573	+	0.867422i	$0.665775\pi$
$720$	−15.8359	+	14.3733i	−0.590168	+	0.535662i
$721$	24.9532	+	6.48700i	0.929307	+	0.241589i
$722$	16.2034	+	8.07872i	0.603030	+	0.300659i
$723$	7.24807	+	7.24807i	0.269559	+	0.269559i
$724$	−4.35887	−	5.78439i	−0.161996	−	0.214975i
$725$	4.74729	+	9.53985i	0.176310	+	0.354301i
$726$	11.1046	−	3.71554i	0.412129	−	0.137897i
$727$	0.469475	−	0.469475i	0.0174119	−	0.0174119i	−0.698347	−	0.715759i	$-0.746081\pi$
$727$	0.469475	−	0.469475i	0.0174119	−	0.0174119i	0.715759	+	0.698347i	$0.246081\pi$
$728$	−22.1530	−	1.57718i	−0.821046	−	0.0584542i
$729$			0.547092i			0.0202627i
$730$	7.93937	+	1.87267i	0.293849	+	0.0693107i
$731$	42.6541			1.57762
$732$	−9.59742	−	1.34881i	−0.354731	−	0.0498536i
$733$	−36.1499	+	36.1499i	−1.33523	+	1.33523i	−0.434604	+	0.900622i	$0.643112\pi$
$733$	−36.1499	+	36.1499i	−1.33523	+	1.33523i	−0.900622	+	0.434604i	$0.856888\pi$
$734$	46.7069	−	15.6279i	1.72398	−	0.576838i
$735$	11.7462	+	3.34971i	0.433266	+	0.123556i
$736$	1.51021	+	34.5866i	0.0556671	+	1.27488i
$737$	−0.875723	−	0.875723i	−0.0322577	−	0.0322577i
$738$	35.2665	+	17.5832i	1.29818	+	0.647246i
$739$	15.8043			0.581371			0.290686	−	0.956819i	$-0.406117\pi$
$739$	15.8043			0.581371			0.290686	+	0.956819i	$0.406117\pi$
$740$	−20.3396	+	24.4367i	−0.747697	+	0.898312i
$741$	5.76544			0.211799
$742$	15.4754	+	13.4869i	0.568119	+	0.495120i
$743$	−24.2752	+	24.2752i	−0.890570	+	0.890570i	−0.994577	−	0.104006i	$-0.966834\pi$
$743$	−24.2752	+	24.2752i	−0.890570	+	0.890570i	0.104006	+	0.994577i	$0.466834\pi$
$744$	0.106856	−	0.155478i	0.00391754	−	0.00570008i
$745$	21.8773	−	35.3231i	0.801521	−	1.29414i
$746$	8.29299	+	24.7851i	0.303628	+	0.907446i
$747$	−28.2807	−	28.2807i	−1.03474	−	1.03474i
$748$	−6.98164	+	49.6775i	−0.255274	+	1.81639i
$749$	0.947517	−	3.64477i	0.0346215	−	0.133177i
$750$	12.0133	−	2.81423i	0.438664	−	0.102761i
$751$	29.5770			1.07928			0.539640	−	0.841896i	$-0.318561\pi$
$751$	29.5770			1.07928			0.539640	+	0.841896i	$0.318561\pi$
$752$	−7.44444	−	13.4300i	−0.271471	−	0.489743i
$753$	6.20600	−	6.20600i	0.226159	−	0.226159i
$754$	8.48249	−	2.83821i	0.308914	−	0.103361i
$755$	−18.2499	+	29.4664i	−0.664183	+	1.07239i
$756$	−8.49296	−	20.5773i	−0.308886	−	0.748387i
$757$	6.37366	−	6.37366i	0.231655	−	0.231655i	−0.581728	−	0.813383i	$-0.697623\pi$
$757$	6.37366	−	6.37366i	0.231655	−	0.231655i	0.813383	+	0.581728i	$0.197623\pi$
$758$	1.58551	+	0.790504i	0.0575883	+	0.0287124i
$759$	22.2010			0.805845
$760$	−5.71202	+	14.6719i	−0.207197	+	0.532207i
$761$			19.2317i			0.697147i	0.937281	+	0.348574i	$0.113334\pi$
$761$			19.2317i			0.697147i	−0.937281	+	0.348574i	$0.886666\pi$
$762$	7.28137	+	3.63035i	0.263776	+	0.131514i
$763$	−14.5917	+	8.57037i	−0.528256	+	0.310268i
$764$	10.0023	+	13.2734i	0.361869	+	0.480215i
$765$	−28.0826	+	6.60125i	−1.01533	+	0.238669i
$766$	2.43021	+	7.26311i	0.0878071	+	0.262427i
$767$	8.07629	+	8.07629i	0.291618	+	0.291618i
$768$	12.1657	−	2.80875i	0.438992	−	0.101352i
$769$	−6.50297			−0.234503			−0.117251	−	0.993102i	$-0.537408\pi$
$769$	−6.50297			−0.234503			−0.117251	+	0.993102i	$0.537408\pi$
$770$	−34.3908	−	18.1662i	−1.23936	−	0.654664i
$771$		−	12.3610i		−	0.445172i
$772$	−10.4303	−	1.46586i	−0.375393	−	0.0527575i
$773$	−10.2963	+	10.2963i	−0.370331	+	0.370331i	−0.867598	−	0.497267i	$-0.834337\pi$
$773$	−10.2963	+	10.2963i	−0.370331	+	0.370331i	0.497267	+	0.867598i	$0.334337\pi$
$774$	25.3499	−	8.48196i	0.911182	−	0.304878i
$775$	0.382614	−	0.190399i	0.0137439	−	0.00683934i
$776$	−32.4239	−	22.2842i	−1.16395	−	0.799958i
$777$	−7.43374	−	12.6565i	−0.266684	−	0.454050i
$778$	43.5154	+	21.6959i	1.56010	+	0.777836i
$779$	29.0115			1.03945
$780$	−0.943778	−	10.3142i	−0.0337927	−	0.369307i
$781$		−	13.5794i		−	0.485911i
$782$	−20.8369	+	41.7924i	−0.745125	+	1.49449i
$783$	6.33967	+	6.33967i	0.226561	+	0.226561i
$784$	19.7489	+	19.8489i	0.705319	+	0.708890i
$785$	24.1685	−	5.68118i	0.862611	−	0.202770i
$786$	−20.4132	+	6.83018i	−0.728115	+	0.243624i
$787$	−25.3866	−	25.3866i	−0.904934	−	0.904934i	0.0909241	−	0.995858i	$-0.471018\pi$
$787$	−25.3866	−	25.3866i	−0.904934	−	0.904934i	−0.995858	+	0.0909241i	$0.971018\pi$
$788$	35.7584	+	5.02546i	1.27384	+	0.179024i
$789$			6.66838i			0.237401i
$790$	−2.24482	−	3.63069i	−0.0798672	−	0.129174i
$791$	−3.15000	+	12.1170i	−0.112001	+	0.430830i
$792$	5.72932	+	30.9123i	0.203582	+	1.09842i
$793$	−13.0317	+	13.0317i	−0.462768	+	0.462768i
$794$	−9.14719	−	27.3380i	−0.324622	−	0.970189i
$795$	−5.04062	+	8.13860i	−0.178772	+	0.288646i
$796$	8.78556	+	11.6588i	0.311396	+	0.413235i
$797$	4.02491	+	4.02491i	0.142569	+	0.142569i	0.774789	−	0.632220i	$-0.217856\pi$
$797$	4.02491	+	4.02491i	0.142569	+	0.142569i	−0.632220	+	0.774789i	$0.717856\pi$
$798$	−5.47976	−	4.77565i	−0.193982	−	0.169056i
$799$		−	20.7130i		−	0.732773i
$800$	27.1826	+	7.81689i	0.961052	+	0.276369i
$801$			3.27858i			0.115843i
$802$	−6.26749	−	3.12485i	−0.221313	−	0.110342i
$803$	8.47931	−	8.47931i	0.299228	−	0.299228i
$804$	−0.332063	+	0.250228i	−0.0117110	+	0.00882488i
$805$	−24.9938	−	26.1951i	−0.880917	−	0.923256i
$806$	−0.113832	−	0.340207i	−0.00400956	−	0.0119833i
$807$	−14.7905	−	14.7905i	−0.520651	−	0.520651i
$808$	7.26380	+	39.1915i	0.255540	+	1.37875i
$809$		−	42.5226i		−	1.49501i	−0.664254	−	0.747507i	$-0.731250\pi$
$809$		−	42.5226i		−	1.49501i	0.664254	−	0.747507i	$-0.268750\pi$
$810$	−10.4634	+	6.46945i	−0.367648	+	0.227313i
$811$	20.6990			0.726840			0.363420	−	0.931625i	$-0.381609\pi$
$811$	20.6990			0.726840			0.363420	+	0.931625i	$0.381609\pi$
$812$	−10.4131	−	4.32868i	−0.365430	−	0.151907i
$813$	−14.4142	−	14.4142i	−0.505528	−	0.505528i
$814$	14.8304	+	44.3234i	0.519806	+	1.55353i
$815$	28.3624	−	6.66702i	0.993493	−	0.233536i
$816$	16.1897	+	4.64228i	0.566754	+	0.162512i
$817$	13.9157	−	13.9157i	0.486847	−	0.486847i
$818$	−20.3945	−	10.1683i	−0.713077	−	0.355526i
$819$	−18.1707	−	4.72378i	−0.634937	−	0.165062i
$820$	−4.74906	−	51.9007i	−0.165845	−	1.81245i
$821$		−	26.1394i		−	0.912271i	−0.889910	−	0.456136i	$-0.849233\pi$
$821$		−	26.1394i		−	0.912271i	0.889910	−	0.456136i	$-0.150767\pi$
$822$	−12.6893	−	6.32666i	−0.442592	−	0.220668i
$823$	−29.5764	+	29.5764i	−1.03097	+	1.03097i	−0.0314647	+	0.999505i	$0.510017\pi$
$823$	−29.5764	+	29.5764i	−1.03097	+	1.03097i	−0.999505	+	0.0314647i	$0.989983\pi$
$824$	−15.6117	+	22.7153i	−0.543859	+	0.791324i
$825$	5.76851	−	17.1966i	0.200834	−	0.598707i
$826$	−0.986329	−	14.3659i	−0.0343188	−	0.499854i
$827$	−23.5260	+	23.5260i	−0.818079	+	0.818079i	−0.985829	−	0.167751i	$-0.946350\pi$
$827$	−23.5260	+	23.5260i	−0.818079	+	0.818079i	0.167751	+	0.985829i	$0.446350\pi$
$828$	−4.07300	+	28.9812i	−0.141547	+	1.00717i
$829$		−	42.3287i		−	1.47014i	−0.677993	−	0.735068i	$-0.737150\pi$
$829$		−	42.3287i		−	1.47014i	0.677993	−	0.735068i	$-0.262850\pi$
$830$	−12.1433	+	51.4826i	−0.421499	+	1.78699i
$831$		−	16.6759i		−	0.578481i
$832$	9.65686	−	21.6899i	0.334791	−	0.751963i
$833$	10.3189	+	36.3327i	0.357529	+	1.25885i
$834$	2.96062	+	8.84835i	0.102518	+	0.306393i
$835$	−9.98191	−	42.4644i	−0.345438	−	1.46954i
$836$	13.9293	+	18.4847i	0.481754	+	0.639307i
$837$	0.254265	−	0.254265i	0.00878867	−	0.00878867i
$838$	11.7428	−	23.5525i	0.405649	−	0.813607i
$839$	−37.7176			−1.30216			−0.651078	−	0.759011i	$-0.725683\pi$
$839$	−37.7176			−1.30216			−0.651078	+	0.759011i	$0.725683\pi$
$840$	−7.64647	+	10.5849i	−0.263828	+	0.365213i
$841$	−24.4582			−0.843385
$842$	−17.7701	+	35.6413i	−0.612397	+	1.22828i
$843$	1.13046	−	1.13046i	0.0389351	−	0.0389351i
$844$	−32.6921	+	24.6354i	−1.12531	+	0.847984i
$845$	7.96911	+	4.93565i	0.274146	+	0.169792i
$846$	−4.11887	−	12.3100i	−0.141610	−	0.423226i
$847$	−24.2063	+	14.2174i	−0.831738	+	0.488516i
$848$	−19.1935	+	10.6392i	−0.659106	+	0.365351i
$849$			7.61766i			0.261438i
$850$	26.9577	+	26.9989i	0.924640	+	0.926054i
$851$			43.5086i			1.49146i
$852$	−4.51467	−	0.634488i	−0.154670	−	0.0217372i
$853$	−4.87957	+	4.87957i	−0.167073	+	0.167073i	−0.785692	−	0.618618i	$-0.787693\pi$
$853$	−4.87957	+	4.87957i	−0.167073	+	0.167073i	0.618618	+	0.785692i	$0.287693\pi$
$854$	23.1804	−	1.59151i	0.793217	−	0.0544603i
$855$	−7.00817	+	11.3154i	−0.239674	+	0.386979i
$856$	3.31788	+	2.28031i	0.113403	+	0.0779392i
$857$	35.5786	−	35.5786i	1.21534	−	1.21534i	0.246097	−	0.969245i	$-0.420852\pi$
$857$	35.5786	−	35.5786i	1.21534	−	1.21534i	0.969245	−	0.246097i	$-0.0791481\pi$
$858$	−13.6260	−	6.79367i	−0.465185	−	0.231932i
$859$			10.7279i			0.366030i	0.983110	+	0.183015i	$0.0585857\pi$
$859$			10.7279i			0.366030i	−0.983110	+	0.183015i	$0.941414\pi$
$860$	−27.1726	−	22.6167i	−0.926578	−	0.771224i
$861$	23.2868	+	6.05379i	0.793613	+	0.206313i
$862$	−23.3940	−	11.6638i	−0.796802	−	0.397270i
$863$	18.6740	−	18.6740i	0.635672	−	0.635672i	−0.313813	−	0.949485i	$-0.601607\pi$
$863$	18.6740	−	18.6740i	0.635672	−	0.635672i	0.949485	+	0.313813i	$0.101607\pi$
$864$	23.7754	−	1.03814i	0.808855	−	0.0353183i
$865$	−0.130575	−	0.555486i	−0.00443970	−	0.0188871i
$866$	6.69690	+	20.0149i	0.227570	+	0.680133i
$867$	6.68397	+	6.68397i	0.227000	+	0.227000i
$868$	−0.173610	+	0.417639i	−0.00589271	+	0.0141756i
$869$	−6.27509			−0.212868
$870$	1.20733	−	5.11861i	0.0409325	−	0.173537i
$871$			0.790653i			0.0267903i
$872$	−3.29684	−	17.7879i	−0.111645	−	0.602376i
$873$	−23.5179	−	23.5179i	−0.795960	−	0.795960i
$874$	6.83661	+	20.4324i	0.231252	+	0.691137i
$875$	−26.7845	+	12.5535i	−0.905481	+	0.424387i
$876$	−2.42287	−	3.21525i	−0.0818612	−	0.108633i
$877$	33.2618	−	33.2618i	1.12317	−	1.12317i	0.131908	−	0.991262i	$-0.457890\pi$
$877$	33.2618	−	33.2618i	1.12317	−	1.12317i	0.991262	−	0.131908i	$-0.0421104\pi$
$878$	−7.32288	−	3.65105i	−0.247135	−	0.123217i
$879$			11.7210i			0.395338i
$880$	30.7884	−	27.9449i	1.03788	−	0.942022i
$881$		−	20.6136i		−	0.694489i	−0.937775	−	0.347245i	$-0.887117\pi$
$881$		−	20.6136i		−	0.694489i	0.937775	−	0.347245i	$-0.112883\pi$
$882$	13.3576	+	19.5410i	0.449772	+	0.657979i
$883$	−6.41892	−	6.41892i	−0.216014	−	0.216014i	0.590802	−	0.806816i	$-0.298811\pi$
$883$	−6.41892	−	6.41892i	−0.216014	−	0.216014i	−0.806816	+	0.590802i	$0.798811\pi$
$884$	25.5776	−	19.2741i	0.860267	−	0.648260i
$885$	6.53717	−	1.53666i	0.219745	−	0.0516543i
$886$	−0.282389	−	0.843969i	−0.00948704	−	0.0283537i
$887$	−15.0032	+	15.0032i	−0.503757	+	0.503757i	−0.912603	−	0.408846i	$-0.865931\pi$
$887$	−15.0032	+	15.0032i	−0.503757	+	0.503757i	0.408846	+	0.912603i	$0.365931\pi$
$888$	15.4288	−	2.85960i	0.517758	−	0.0959620i
$889$	−18.8783	−	4.90771i	−0.633156	−	0.164599i
$890$	3.68808	−	2.28031i	0.123625	−	0.0764361i
$891$			18.0845i			0.605852i
$892$	−0.291257	+	2.07242i	−0.00975200	+	0.0693898i
$893$	−6.75749	−	6.75749i	−0.226131	−	0.226131i
$894$	−19.4466	+	6.50674i	−0.650390	+	0.217618i
$895$	−13.5304	+	21.8463i	−0.452273	+	0.730241i
$896$	−27.1446	+	12.6162i	−0.906839	+	0.421477i
$897$	−10.0222	−	10.0222i	−0.334631	−	0.334631i
$898$	−18.6863	+	37.4790i	−0.623570	+	1.25069i
$899$		−	0.182159i		−	0.00607533i
$900$	21.3901	+	10.6851i	0.713004	+	0.356170i
$901$	−29.6019			−0.986182
$902$	−68.5658	−	34.1856i	−2.28299	−	1.13825i
$903$	14.0735	−	8.26599i	0.468337	−	0.275075i
$904$	−11.0302	−	7.58084i	−0.366860	−	0.252135i
$905$	−4.26379	+	6.88432i	−0.141733	+	0.228842i
$906$	16.2222	−	5.42789i	0.538947	−	0.180330i
$907$	7.67879	−	7.67879i	0.254970	−	0.254970i	−0.568035	−	0.823005i	$-0.692296\pi$
$907$	7.67879	−	7.67879i	0.254970	−	0.254970i	0.823005	+	0.568035i	$0.192296\pi$
$908$	5.49266	−	39.0827i	0.182280	−	1.29701i
$909$			33.6952i			1.11760i
$910$	7.32425	+	23.7257i	0.242797	+	0.786500i
$911$	5.54831			0.183824			0.0919119	−	0.995767i	$-0.470702\pi$
$911$	5.54831			0.183824			0.0919119	+	0.995767i	$0.470702\pi$
$912$	6.79632	−	3.76729i	0.225049	−	0.124747i
$913$	54.9838	+	54.9838i	1.81970	+	1.81970i
$914$	−11.4450	−	34.2053i	−0.378565	−	1.13141i
$915$	2.47951	+	10.5482i	0.0819701	+	0.348712i
$916$	14.9455	−	11.2623i	0.493813	−	0.372116i
$917$	44.4978	−	26.1355i	1.46945	−	0.863070i
$918$	28.7288	+	14.3236i	0.948191	+	0.472750i
$919$		−	27.0724i		−	0.893038i	−0.894774	−	0.446519i	$-0.852664\pi$
$919$		−	27.0724i		−	0.893038i	0.894774	−	0.446519i	$-0.147336\pi$
$920$	35.4338	−	15.5752i	1.16822	−	0.513498i
$921$	0.0690461			0.00227515
$922$	22.5663	+	11.2511i	0.743180	+	0.370535i
$923$	−6.13015	+	6.13015i	−0.201776	+	0.201776i
$924$	7.32350	+	17.7438i	0.240925	+	0.583729i
$925$	33.7011	+	11.3049i	1.10809	+	0.371703i
$926$	−18.3597	+	6.14308i	−0.603337	+	0.201874i
$927$	−16.4760	+	16.4760i	−0.541141	+	0.541141i
$928$	8.14464	−	8.88838i	0.267361	−	0.291775i
$929$	−24.3594			−0.799205			−0.399603	−	0.916688i	$-0.630852\pi$
$929$	−24.3594			−0.799205			−0.399603	+	0.916688i	$0.630852\pi$
$930$	−0.205292	−	0.0484225i	−0.00673178	−	0.00158784i
$931$	15.2198	+	8.48684i	0.498809	+	0.278145i
$932$	37.6120	+	5.28596i	1.23202	+	0.173147i
$933$	3.34547	+	3.34547i	0.109526	+	0.109526i
$934$	13.5295	+	40.4352i	0.442698	+	1.32308i
$935$	54.5988	−	12.8343i	1.78557	−	0.419726i
$936$	11.3683	−	16.5411i	0.371585	−	0.540662i
$937$	0.272375	−	0.272375i	0.00889812	−	0.00889812i	−0.702644	−	0.711542i	$-0.747997\pi$
$937$	0.272375	−	0.272375i	0.00889812	−	0.00889812i	0.711542	+	0.702644i	$0.247997\pi$
$938$	0.654917	−	0.751477i	0.0213838	−	0.0245366i
$939$	8.62643			0.281513
$940$	−10.9828	+	13.1951i	−0.358218	+	0.430377i
$941$	−25.5665			−0.833443			−0.416721	−	0.909034i	$-0.636821\pi$
$941$	−25.5665			−0.833443			−0.416721	+	0.909034i	$0.636821\pi$
$942$	−10.9659	−	5.46738i	−0.357288	−	0.178137i
$943$	−50.4313	−	50.4313i	−1.64227	−	1.64227i
$944$	14.7976	+	4.24311i	0.481622	+	0.138101i
$945$	−18.0069	+	17.1812i	−0.585766	+	0.558903i
$946$	−49.2857	+	16.4908i	−1.60242	+	0.536162i
$947$	−27.0080	+	27.0080i	−0.877643	+	0.877643i	−0.993290	−	0.115647i	$-0.963106\pi$
$947$	−27.0080	+	27.0080i	−0.877643	+	0.877643i	0.115647	+	0.993290i	$0.463106\pi$
$948$	−0.293199	+	2.08624i	−0.00952265	+	0.0677579i
$949$	−7.65561			−0.248512
$950$	17.6030	+	0.0134496i	0.571117	+	0.000436362i
$951$			10.4445i			0.338685i
$952$	−40.2755	−	2.86740i	−1.30534	−	0.0929331i
$953$	25.7052	−	25.7052i	0.832673	−	0.832673i	−0.155209	−	0.987882i	$-0.549605\pi$
$953$	25.7052	−	25.7052i	0.832673	−	0.832673i	0.987882	+	0.155209i	$0.0496050\pi$
$954$	−17.5927	+	5.88647i	−0.569586	+	0.190581i
$955$	9.78408	−	15.7974i	0.316605	−	0.511192i
$956$	26.3625	−	19.8656i	0.852624	−	0.642500i
$957$	−5.46671	−	5.46671i	−0.176714	−	0.176714i
$958$	−42.3050	−	21.0925i	−1.36681	−	0.681467i
$959$	32.8994	+	8.55273i	1.06238	+	0.276182i
$960$	−7.85209	−	11.5417i	−0.253425	−	0.372507i
$961$	30.9927			0.999764
$962$	13.3140	−	26.7037i	0.429260	−	0.860963i
$963$	2.40654	+	2.40654i	0.0775498	+	0.0775498i
$964$	20.9808	−	15.8102i	0.675746	−	0.509213i
$965$	2.69467	+	11.4635i	0.0867447	+	0.369024i
$966$	1.22397	+	17.8272i	0.0393807	+	0.573580i
$967$	24.8907	+	24.8907i	0.800429	+	0.800429i	0.983163	−	0.182733i	$-0.0584944\pi$
$967$	24.8907	+	24.8907i	0.800429	+	0.800429i	−0.182733	+	0.983163i	$0.558494\pi$
$968$	−5.46914	−	29.5085i	−0.175785	−	0.948439i
$969$	10.4819			0.336727
$970$	−10.0982	+	42.8124i	−0.324234	+	1.37462i
$971$	−37.0215			−1.18807			−0.594037	−	0.804437i	$-0.702467\pi$
$971$	−37.0215			−1.18807			−0.594037	+	0.804437i	$0.702467\pi$
$972$	31.0084	+	4.35790i	0.994595	+	0.139780i
$973$	−11.3288	−	19.2881i	−0.363183	−	0.618348i
$974$	−5.28061	−	15.7820i	−0.169202	−	0.505689i
$975$	−10.3671	+	5.15895i	−0.332013	+	0.165219i
$976$	−6.84655	+	23.8770i	−0.219153	+	0.764284i
$977$	20.7322	+	20.7322i	0.663280	+	0.663280i	0.956152	−	0.292872i	$-0.0946108\pi$
$977$	20.7322	+	20.7322i	0.663280	+	0.663280i	−0.292872	+	0.956152i	$0.594611\pi$
$978$	−12.8688	−	6.41612i	−0.411498	−	0.205165i
$979$		−	6.37429i		−	0.203723i
$980$	12.6913	−	28.6170i	0.405407	−	0.914136i
$981$		−	15.2933i		−	0.488278i
$982$	−0.857585	+	1.72005i	−0.0273666	+	0.0548891i
$983$	18.5754	+	18.5754i	0.592463	+	0.592463i	0.938296	−	0.345833i	$-0.112404\pi$
$983$	18.5754	+	18.5754i	0.592463	+	0.592463i	−0.345833	+	0.938296i	$0.612404\pi$
$984$	−14.5691	+	21.1983i	−0.464447	+	0.675778i
$985$	−9.23824	−	39.3007i	−0.294355	−	1.25223i
$986$	15.4217	−	5.16003i	0.491126	−	0.164329i
$987$	−4.01400	−	6.83415i	−0.127767	−	0.217533i
$988$	2.05646	−	14.6326i	0.0654246	−	0.465525i
$989$	−48.3797			−1.53839
$990$	29.8966	−	18.4848i	0.950175	−	0.587485i
$991$	−53.0136			−1.68403			−0.842016	−	0.539453i	$-0.818631\pi$
$991$	−53.0136			−1.68403			−0.842016	+	0.539453i	$0.818631\pi$
$992$	−0.356486	−	0.326656i	−0.0113184	−	0.0103714i
$993$	1.27676	+	1.27676i	0.0405167	+	0.0405167i
$994$	10.9042	−	0.748653i	0.345859	−	0.0237458i
$995$	8.59392	−	13.8758i	0.272446	−	0.439891i
$996$	20.8492	−	15.7110i	0.660631	−	0.497823i
$997$	−31.6721	−	31.6721i	−1.00306	−	1.00306i	−0.999995	−	0.00306877i	$-0.999023\pi$
$997$	−31.6721	−	31.6721i	−1.00306	−	1.00306i	−0.00306877	−	0.999995i	$-0.500977\pi$
$998$	4.25928	+	2.12360i	0.134825	+	0.0672213i
$999$	29.9085			0.946264

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.s.c.237.31	yes	72
4.3	odd	2		1120.2.w.c.657.22		72
5.3	odd	4	inner	280.2.s.c.13.23	✓	72
7.6	odd	2	inner	280.2.s.c.237.32	yes	72
8.3	odd	2		1120.2.w.c.657.15		72
8.5	even	2	inner	280.2.s.c.237.24	yes	72
20.3	even	4		1120.2.w.c.433.21		72
28.27	even	2		1120.2.w.c.657.16		72
35.13	even	4	inner	280.2.s.c.13.24	yes	72
40.3	even	4		1120.2.w.c.433.16		72
40.13	odd	4	inner	280.2.s.c.13.32	yes	72
56.13	odd	2	inner	280.2.s.c.237.23	yes	72
56.27	even	2		1120.2.w.c.657.21		72
140.83	odd	4		1120.2.w.c.433.15		72
280.13	even	4	inner	280.2.s.c.13.31	yes	72
280.83	odd	4		1120.2.w.c.433.22		72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.s.c.13.23	✓	72	5.3	odd	4	inner
280.2.s.c.13.24	yes	72	35.13	even	4	inner
280.2.s.c.13.31	yes	72	280.13	even	4	inner
280.2.s.c.13.32	yes	72	40.13	odd	4	inner
280.2.s.c.237.23	yes	72	56.13	odd	2	inner
280.2.s.c.237.24	yes	72	8.5	even	2	inner
280.2.s.c.237.31	yes	72	1.1	even	1	trivial
280.2.s.c.237.32	yes	72	7.6	odd	2	inner
1120.2.w.c.433.15		72	140.83	odd	4
1120.2.w.c.433.16		72	40.3	even	4
1120.2.w.c.433.21		72	20.3	even	4
1120.2.w.c.433.22		72	280.83	odd	4
1120.2.w.c.657.15		72	8.3	odd	2
1120.2.w.c.657.16		72	28.27	even	2
1120.2.w.c.657.21		72	56.27	even	2
1120.2.w.c.657.22		72	4.3	odd	2

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.s (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.26563 + 0.631018i) q^{2} +(-0.551796 + 0.551796i) q^{3} +(1.20363 + 1.59727i) q^{4} +(1.17738 - 1.90100i) q^{5} +(-1.04656 + 0.350176i) q^{6} +(2.28135 - 1.33994i) q^{7} +(0.515446 + 2.78106i) q^{8} +2.39104i q^{9} +O(q^{10})\)	\(q+(1.26563 + 0.631018i) q^{2} +(-0.551796 + 0.551796i) q^{3} +(1.20363 + 1.59727i) q^{4} +(1.17738 - 1.90100i) q^{5} +(-1.04656 + 0.350176i) q^{6} +(2.28135 - 1.33994i) q^{7} +(0.515446 + 2.78106i) q^{8} +2.39104i q^{9} +(2.68968 - 1.66301i) q^{10} -4.64871i q^{11} +(-1.54553 - 0.217207i) q^{12} +(-2.09856 + 2.09856i) q^{13} +(3.73287 - 0.256290i) q^{14} +(0.399290 + 1.69863i) q^{15} +(-1.10254 + 3.84505i) q^{16} +(-3.81531 + 3.81531i) q^{17} +(-1.50879 + 3.02617i) q^{18} +2.48944i q^{19} +(4.45353 - 0.407511i) q^{20} +(-0.519468 + 1.99821i) q^{21} +(2.93342 - 5.88354i) q^{22} +(4.32744 - 4.32744i) q^{23} +(-1.81900 - 1.25016i) q^{24} +(-2.22757 - 4.47638i) q^{25} +(-3.98023 + 1.33177i) q^{26} +(-2.97476 - 2.97476i) q^{27} +(4.88615 + 2.03114i) q^{28} -2.13116 q^{29} +(-0.566516 + 2.40180i) q^{30} +0.0854741i q^{31} +(-3.82170 + 4.17068i) q^{32} +(2.56514 + 2.56514i) q^{33} +(-7.23629 + 2.42123i) q^{34} +(0.138796 - 5.91445i) q^{35} +(-3.81914 + 2.87794i) q^{36} +(-5.02706 + 5.02706i) q^{37} +(-1.57088 + 3.15071i) q^{38} -2.31596i q^{39} +(5.89366 + 2.29450i) q^{40} -11.6538i q^{41} +(-1.91836 + 2.20120i) q^{42} +(-5.58987 - 5.58987i) q^{43} +(7.42524 - 5.59534i) q^{44} +(4.54536 + 2.81516i) q^{45} +(8.20763 - 2.74624i) q^{46} +(-2.71446 + 2.71446i) q^{47} +(-1.51331 - 2.73006i) q^{48} +(3.40913 - 6.11374i) q^{49} +(0.00540265 - 7.07107i) q^{50} -4.21054i q^{51} +(-5.87787 - 0.826071i) q^{52} +(3.87936 + 3.87936i) q^{53} +(-1.88781 - 5.64206i) q^{54} +(-8.83718 - 5.47329i) q^{55} +(4.90237 + 5.65392i) q^{56} +(-1.37366 - 1.37366i) q^{57} +(-2.69725 - 1.34480i) q^{58} -3.84849i q^{59} +(-2.23258 + 2.68230i) q^{60} +6.20980 q^{61} +(-0.0539357 + 0.108179i) q^{62} +(3.20385 + 5.45481i) q^{63} +(-7.46863 + 2.86698i) q^{64} +(1.51856 + 6.46016i) q^{65} +(1.62787 + 4.86516i) q^{66} +(0.188380 - 0.188380i) q^{67} +(-10.6863 - 1.50185i) q^{68} +4.77573i q^{69} +(3.90779 - 7.39792i) q^{70} +2.92112 q^{71} +(-6.64964 + 1.23245i) q^{72} +(1.82401 + 1.82401i) q^{73} +(-9.53455 + 3.19022i) q^{74} +(3.69921 + 1.24088i) q^{75} +(-3.97631 + 2.99637i) q^{76} +(-6.22898 - 10.6053i) q^{77} +(1.46141 - 2.93114i) q^{78} -1.34986i q^{79} +(6.01132 + 6.62299i) q^{80} -3.89021 q^{81} +(7.35377 - 14.7494i) q^{82} +(-11.8278 + 11.8278i) q^{83} +(-3.81693 + 1.57538i) q^{84} +(2.76082 + 11.7449i) q^{85} +(-3.54739 - 10.6020i) q^{86} +(1.17596 - 1.17596i) q^{87} +(12.9284 - 2.39616i) q^{88} +1.37119 q^{89} +(3.97632 + 6.43115i) q^{90} +(-1.97562 + 7.59950i) q^{91} +(12.1207 + 1.70344i) q^{92} +(-0.0471643 - 0.0471643i) q^{93} +(-5.14837 + 1.72263i) q^{94} +(4.73242 + 2.93101i) q^{95} +(-0.192568 - 4.41017i) q^{96} +(-9.83584 + 9.83584i) q^{97} +(8.17258 - 5.58650i) q^{98} +11.1153 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8}+O(q^{10}) \) 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8	\( 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8} - 8 q^{15} + 40 q^{16} - 40 q^{18} + 4 q^{22} + 40 q^{23} - 8 q^{25} - 4 q^{28} - 44 q^{30} - 24 q^{32} - 72 q^{36} + 40 q^{42} + 16 q^{46} - 60 q^{50} + 32 q^{56} + 32 q^{57} - 68 q^{58} + 64 q^{60} - 100 q^{63} - 56 q^{65} + 16 q^{70} - 80 q^{71} + 16 q^{72} - 4 q^{78} + 72 q^{81} - 72 q^{86} + 48 q^{88} + 72 q^{92} + 80 q^{95} + 40 q^{98}+O(q^{100}) \) 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8 - 8 * q^15 + 40 * q^16 - 40 * q^18 + 4 * q^22 + 40 * q^23 - 8 * q^25 - 4 * q^28 - 44 * q^30 - 24 * q^32 - 72 * q^36 + 40 * q^42 + 16 * q^46 - 60 * q^50 + 32 * q^56 + 32 * q^57 - 68 * q^58 + 64 * q^60 - 100 * q^63 - 56 * q^65 + 16 * q^70 - 80 * q^71 + 16 * q^72 - 4 * q^78 + 72 * q^81 - 72 * q^86 + 48 * q^88 + 72 * q^92 + 80 * q^95 + 40 * q^98

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