LMFDB - Embedded newform 280.2.ba.b.59.31

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(19,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))

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

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

chi := DirichletCharacter("280.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.ba (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			59.31
Character	$\chi$	$=$	280.59
Dual form			280.2.ba.b.19.31

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.09909 - 0.889943i) q^{2} +(-0.360276 + 0.624015i) q^{3} +(0.416004 - 1.95626i) q^{4} +(0.601554 + 2.15363i) q^{5} +(0.159362 + 1.00647i) q^{6} +(1.35637 + 2.27162i) q^{7} +(-1.28373 - 2.52033i) q^{8} +(1.24040 + 2.14844i) q^{9} +O(q^{10})$	\(q+(1.09909 - 0.889943i) q^{2} +(-0.360276 + 0.624015i) q^{3} +(0.416004 - 1.95626i) q^{4} +(0.601554 + 2.15363i) q^{5} +(0.159362 + 1.00647i) q^{6} +(1.35637 + 2.27162i) q^{7} +(-1.28373 - 2.52033i) q^{8} +(1.24040 + 2.14844i) q^{9} +(2.57777 + 1.83169i) q^{10} +(1.95654 - 3.38883i) q^{11} +(1.07086 + 0.964385i) q^{12} -2.55354i q^{13} +(3.51238 + 1.28963i) q^{14} +(-1.56063 - 0.400522i) q^{15} +(-3.65388 - 1.62762i) q^{16} +(-2.55984 + 4.43377i) q^{17} +(3.27531 + 1.25745i) q^{18} +(3.25858 - 1.88134i) q^{19} +(4.46331 - 0.280873i) q^{20} +(-1.90619 + 0.0279831i) q^{21} +(-0.865446 - 5.46585i) q^{22} +(-3.50209 - 6.06580i) q^{23} +(2.03522 + 0.106945i) q^{24} +(-4.27627 + 2.59105i) q^{25} +(-2.27250 - 2.80657i) q^{26} -3.94920 q^{27} +(5.00813 - 1.70839i) q^{28} -3.39188i q^{29} +(-2.07171 + 0.948656i) q^{30} +(-1.59267 + 2.75858i) q^{31} +(-5.46444 + 1.46284i) q^{32} +(1.40979 + 2.44183i) q^{33} +(1.13230 + 7.15122i) q^{34} +(-4.07631 + 4.28762i) q^{35} +(4.71892 - 1.53279i) q^{36} +(0.850773 + 1.47358i) q^{37} +(1.90719 - 4.96771i) q^{38} +(1.59345 + 0.919977i) q^{39} +(4.65562 - 4.28079i) q^{40} +3.97345i q^{41} +(-2.07018 + 1.72716i) q^{42} -0.898763i q^{43} +(-5.81549 - 5.23727i) q^{44} +(-3.88078 + 3.96378i) q^{45} +(-9.24734 - 3.55021i) q^{46} +(5.64460 - 3.25891i) q^{47} +(2.33207 - 1.69369i) q^{48} +(-3.32054 + 6.16230i) q^{49} +(-2.39412 + 6.65343i) q^{50} +(-1.84449 - 3.19476i) q^{51} +(-4.99538 - 1.06228i) q^{52} +(-2.92487 + 5.06602i) q^{53} +(-4.34053 + 3.51456i) q^{54} +(8.47526 + 2.17511i) q^{55} +(3.98402 - 6.33463i) q^{56} +2.71120i q^{57} +(-3.01858 - 3.72798i) q^{58} +(-10.2528 - 5.91946i) q^{59} +(-1.43275 + 2.88636i) q^{60} +(-5.94508 - 10.2972i) q^{61} +(0.704492 + 4.44932i) q^{62} +(-3.19801 + 5.73180i) q^{63} +(-4.70408 + 6.47083i) q^{64} +(5.49938 - 1.53609i) q^{65} +(3.72257 + 1.42916i) q^{66} +(2.68095 + 1.54785i) q^{67} +(7.60868 + 6.85216i) q^{68} +5.04687 q^{69} +(-0.664510 + 8.34017i) q^{70} -12.3374i q^{71} +(3.82243 - 5.88424i) q^{72} +(2.59351 - 4.49209i) q^{73} +(2.24648 + 0.862463i) q^{74} +(-0.0762221 - 3.60195i) q^{75} +(-2.32480 - 7.15726i) q^{76} +(10.3519 - 0.151968i) q^{77} +(2.57007 - 0.406937i) q^{78} +(-8.84693 + 5.10778i) q^{79} +(1.30730 - 8.84822i) q^{80} +(-2.29841 + 3.98096i) q^{81} +(3.53614 + 4.36718i) q^{82} -0.786461 q^{83} +(-0.738243 + 3.74064i) q^{84} +(-11.0886 - 2.84580i) q^{85} +(-0.799847 - 0.987822i) q^{86} +(2.11658 + 1.22201i) q^{87} +(-11.0526 - 0.580783i) q^{88} +(-0.679974 + 0.392583i) q^{89} +(-0.737804 + 7.81023i) q^{90} +(5.80068 - 3.46353i) q^{91} +(-13.3232 + 4.32759i) q^{92} +(-1.14760 - 1.98770i) q^{93} +(3.30369 - 8.60522i) q^{94} +(6.01193 + 5.88605i) q^{95} +(1.05587 - 3.93692i) q^{96} +16.5331 q^{97} +(1.83452 + 9.72803i) q^{98} +9.70761 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) $ 80 * q + 6 * q^4 - 52 * q^9	$ 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) $ 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.09909	−	0.889943i	0.777175	−	0.629284i
$2$	1.09909	−	0.889943i	0.777175	−	0.629284i
$3$	−0.360276	+	0.624015i	−0.208005	+	0.360276i	−0.951086	−	0.308926i	$-0.900030\pi$
$3$	−0.360276	+	0.624015i	−0.208005	+	0.360276i	0.743081	+	0.669202i	$0.233364\pi$
$4$	0.416004	−	1.95626i	0.208002	−	0.978128i
$5$	0.601554	+	2.15363i	0.269023	+	0.963134i
$5$	0.601554	+	2.15363i	0.269023	+	0.963134i
$6$	0.159362	+	1.00647i	0.0650593	+	0.410892i
$7$	1.35637	+	2.27162i	0.512658	+	0.858593i
$7$	1.35637	+	2.27162i	0.512658	+	0.858593i
$8$	−1.28373	−	2.52033i	−0.453867	−	0.891070i
$9$	1.24040	+	2.14844i	0.413468	+	0.716147i
$10$	2.57777	+	1.83169i	0.815163	+	0.579232i
$11$	1.95654	−	3.38883i	0.589920	−	1.02177i	−0.404322	−	0.914616i	$-0.632493\pi$
$11$	1.95654	−	3.38883i	0.589920	−	1.02177i	0.994242	−	0.107155i	$-0.0341740\pi$
$12$	1.07086	+	0.964385i	0.309130	+	0.278394i
$13$		−	2.55354i		−	0.708224i	−0.935203	−	0.354112i	$-0.884783\pi$
$13$		−	2.55354i		−	0.708224i	0.935203	−	0.354112i	$-0.115217\pi$
$14$	3.51238	+	1.28963i	0.938724	+	0.344669i
$15$	−1.56063	−	0.400522i	−0.402952	−	0.103414i
$16$	−3.65388	−	1.62762i	−0.913470	−	0.406906i
$17$	−2.55984	+	4.43377i	−0.620852	+	1.07535i	0.368476	+	0.929637i	$0.379880\pi$
$17$	−2.55984	+	4.43377i	−0.620852	+	1.07535i	−0.989327	+	0.145709i	$0.953454\pi$
$18$	3.27531	+	1.25745i	0.771997	+	0.296383i
$19$	3.25858	−	1.88134i	0.747569	−	0.431609i	−0.0772457	−	0.997012i	$-0.524613\pi$
$19$	3.25858	−	1.88134i	0.747569	−	0.431609i	0.824815	+	0.565403i	$0.191279\pi$
$20$	4.46331	−	0.280873i	0.998026	−	0.0628050i
$21$	−1.90619	+	0.0279831i	−0.415966	+	0.00610642i
$22$	−0.865446	−	5.46585i	−0.184514	−	1.16532i
$23$	−3.50209	−	6.06580i	−0.730237	−	1.26481i	−0.956782	−	0.290807i	$-0.906076\pi$
$23$	−3.50209	−	6.06580i	−0.730237	−	1.26481i	0.226545	−	0.974001i	$-0.427257\pi$
$24$	2.03522	+	0.106945i	0.415437	+	0.0218300i
$25$	−4.27627	+	2.59105i	−0.855253	+	0.518210i
$26$	−2.27250	−	2.80657i	−0.445674	−	0.550414i
$27$	−3.94920			−0.760024
$28$	5.00813	−	1.70839i	0.946448	−	0.322856i
$29$		−	3.39188i		−	0.629856i	−0.949116	−	0.314928i	$-0.898020\pi$
$29$		−	3.39188i		−	0.629856i	0.949116	−	0.314928i	$-0.101980\pi$
$30$	−2.07171	+	0.948656i	−0.378241	+	0.173200i
$31$	−1.59267	+	2.75858i	−0.286052	+	0.495456i	−0.972864	−	0.231379i	$-0.925676\pi$
$31$	−1.59267	+	2.75858i	−0.286052	+	0.495456i	0.686812	+	0.726835i	$0.259010\pi$
$32$	−5.46444	+	1.46284i	−0.965986	+	0.258595i
$33$	1.40979	+	2.44183i	0.245413	+	0.425067i
$34$	1.13230	+	7.15122i	0.194188	+	1.22642i
$35$	−4.07631	+	4.28762i	−0.689023	+	0.724740i
$36$	4.71892	−	1.53279i	0.786486	−	0.255464i
$37$	0.850773	+	1.47358i	0.139866	+	0.242256i	0.927446	−	0.373957i	$-0.121999\pi$
$37$	0.850773	+	1.47358i	0.139866	+	0.242256i	−0.787580	+	0.616213i	$0.788666\pi$
$38$	1.90719	−	4.96771i	0.309387	−	0.805870i
$39$	1.59345	+	0.919977i	0.255156	+	0.147314i
$40$	4.65562	−	4.28079i	0.736119	−	0.676853i
$41$			3.97345i			0.620548i	0.950647	+	0.310274i	$0.100421\pi$
$41$			3.97345i			0.620548i	−0.950647	+	0.310274i	$0.899579\pi$
$42$	−2.07018	+	1.72716i	−0.319435	+	0.266506i
$43$		−	0.898763i		−	0.137060i	−0.997649	−	0.0685300i	$-0.978169\pi$
$43$		−	0.898763i		−	0.137060i	0.997649	−	0.0685300i	$-0.0218309\pi$
$44$	−5.81549	−	5.23727i	−0.876719	−	0.789548i
$45$	−3.88078	+	3.96378i	−0.578513	+	0.590885i
$46$	−9.24734	−	3.55021i	−1.36345	−	0.523450i
$47$	5.64460	−	3.25891i	0.823350	−	0.475361i	−0.0282202	−	0.999602i	$-0.508984\pi$
$47$	5.64460	−	3.25891i	0.823350	−	0.475361i	0.851570	+	0.524240i	$0.175651\pi$
$48$	2.33207	−	1.69369i	0.336605	−	0.244462i
$49$	−3.32054	+	6.16230i	−0.474363	+	0.880329i
$50$	−2.39412	+	6.65343i	−0.338580	+	0.940938i
$51$	−1.84449	−	3.19476i	−0.258281	−	0.447355i
$52$	−4.99538	−	1.06228i	−0.692734	−	0.147312i
$53$	−2.92487	+	5.06602i	−0.401761	+	0.695871i	−0.993939	−	0.109937i	$-0.964935\pi$
$53$	−2.92487	+	5.06602i	−0.401761	+	0.695871i	0.592177	+	0.805808i	$0.298269\pi$
$54$	−4.34053	+	3.51456i	−0.590672	+	0.478271i
$55$	8.47526	+	2.17511i	1.14280	+	0.293292i
$56$	3.98402	−	6.33463i	0.532387	−	0.846501i
$57$			2.71120i			0.359108i
$58$	−3.01858	−	3.72798i	−0.396358	−	0.489508i
$59$	−10.2528	−	5.91946i	−1.33480	−	0.770648i	−0.348771	−	0.937208i	$-0.613401\pi$
$59$	−10.2528	−	5.91946i	−1.33480	−	0.770648i	−0.986031	+	0.166560i	$0.946734\pi$
$60$	−1.43275	+	2.88636i	−0.184967	+	0.372628i
$61$	−5.94508	−	10.2972i	−0.761190	−	1.31842i	−0.942238	−	0.334945i	$-0.891282\pi$
$61$	−5.94508	−	10.2972i	−0.761190	−	1.31842i	0.181048	−	0.983474i	$-0.442051\pi$
$62$	0.704492	+	4.44932i	0.0894705	+	0.565064i
$63$	−3.19801	+	5.73180i	−0.402911	+	0.722139i
$64$	−4.70408	+	6.47083i	−0.588010	+	0.808854i
$65$	5.49938	−	1.53609i	0.682114	−	0.190529i
$66$	3.72257	+	1.42916i	0.458217	+	0.175917i
$67$	2.68095	+	1.54785i	0.327530	+	0.189100i	0.654744	−	0.755851i	$-0.272776\pi$
$67$	2.68095	+	1.54785i	0.327530	+	0.189100i	−0.327214	+	0.944950i	$0.606110\pi$
$68$	7.60868	+	6.85216i	0.922688	+	0.830947i
$69$	5.04687			0.607572
$70$	−0.664510	+	8.34017i	−0.0794242	+	0.996841i
$71$		−	12.3374i		−	1.46418i	−0.681207	−	0.732091i	$-0.738544\pi$
$71$		−	12.3374i		−	1.46418i	0.681207	−	0.732091i	$-0.261456\pi$
$72$	3.82243	−	5.88424i	0.450478	−	0.693464i
$73$	2.59351	−	4.49209i	0.303547	−	0.525759i	−0.673390	−	0.739288i	$-0.735162\pi$
$73$	2.59351	−	4.49209i	0.303547	−	0.525759i	0.976937	+	0.213529i	$0.0684957\pi$
$74$	2.24648	+	0.862463i	0.261148	+	0.100259i
$75$	−0.0762221	−	3.60195i	−0.00880137	−	0.415917i
$76$	−2.32480	−	7.15726i	−0.266673	−	0.820994i
$77$	10.3519	−	0.151968i	1.17971	−	0.0173183i
$78$	2.57007	−	0.406937i	0.291003	−	0.0460766i
$79$	−8.84693	+	5.10778i	−0.995358	+	0.574670i	−0.906871	−	0.421407i	$-0.861536\pi$
$79$	−8.84693	+	5.10778i	−0.995358	+	0.574670i	−0.0884863	+	0.996077i	$0.528203\pi$
$80$	1.30730	−	8.84822i	0.146160	−	0.989261i
$81$	−2.29841	+	3.98096i	−0.255379	+	0.442329i
$82$	3.53614	+	4.36718i	0.390501	+	0.482274i
$83$	−0.786461			−0.0863253			−0.0431626	−	0.999068i	$-0.513743\pi$
$83$	−0.786461			−0.0863253			−0.0431626	+	0.999068i	$0.513743\pi$
$84$	−0.738243	+	3.74064i	−0.0805489	+	0.408138i
$85$	−11.0886	−	2.84580i	−1.20273	−	0.308670i
$86$	−0.799847	−	0.987822i	−0.0862497	−	0.106520i
$87$	2.11658	+	1.22201i	0.226922	+	0.131013i
$88$	−11.0526	−	0.580783i	−1.17821	−	0.0619117i
$89$	−0.679974	+	0.392583i	−0.0720771	+	0.0416137i	−0.535605	−	0.844468i	$-0.679917\pi$
$89$	−0.679974	+	0.392583i	−0.0720771	+	0.0416137i	0.463528	+	0.886082i	$0.346583\pi$
$90$	−0.737804	+	7.81023i	−0.0777714	+	0.823270i
$91$	5.80068	−	3.46353i	0.608076	−	0.363077i
$92$	−13.3232	+	4.32759i	−1.38903	+	0.451183i
$93$	−1.14760	−	1.98770i	−0.119000	−	0.206115i
$94$	3.30369	−	8.60522i	0.340750	−	0.887561i
$95$	6.01193	+	5.88605i	0.616811	+	0.603896i
$96$	1.05587	−	3.93692i	0.107764	−	0.401810i
$97$	16.5331			1.67868			0.839340	−	0.543607i	$-0.182942\pi$
$97$	16.5331			1.67868			0.839340	+	0.543607i	$0.182942\pi$
$98$	1.83452	+	9.72803i	0.185314	+	0.982679i
$99$	9.70761			0.975651
$100$	3.28982	+	9.44336i	0.328982	+	0.944336i
$101$	−6.01482	+	10.4180i	−0.598497	+	1.03663i	0.394547	+	0.918876i	$0.370902\pi$
$101$	−6.01482	+	10.4180i	−0.598497	+	1.03663i	−0.993043	+	0.117751i	$0.962432\pi$
$102$	−4.87042	−	1.86984i	−0.482243	−	0.185141i
$103$	0.132170	−	0.0763082i	0.0130231	−	0.00751887i	−0.493474	−	0.869760i	$-0.664273\pi$
$103$	0.132170	−	0.0763082i	0.0130231	−	0.00751887i	0.506497	+	0.862241i	$0.330940\pi$
$104$	−6.43575	+	3.27805i	−0.631077	+	0.321439i
$105$	−1.20694	−	4.08841i	−0.117786	−	0.398988i
$106$	1.29377	+	8.17098i	0.125662	+	0.793636i
$107$	1.38413	−	0.799129i	0.133809	−	0.0772548i	−0.431601	−	0.902065i	$-0.642051\pi$
$107$	1.38413	−	0.799129i	0.133809	−	0.0772548i	0.565410	+	0.824810i	$0.308718\pi$
$108$	−1.64289	+	7.72565i	−0.158087	+	0.743401i
$109$	13.5710	+	7.83523i	1.29987	+	0.750479i	0.980381	−	0.197112i	$-0.0631563\pi$
$109$	13.5710	+	7.83523i	1.29987	+	0.750479i	0.319486	+	0.947591i	$0.396490\pi$
$110$	11.2508	−	5.15185i	1.07272	−	0.491210i
$111$	−1.22605			−0.116372
$112$	−1.25865	−	10.5079i	−0.118931	−	0.992902i
$113$		−	8.17675i		−	0.769204i	−0.923082	−	0.384602i	$-0.874339\pi$
$113$		−	8.17675i		−	0.769204i	0.923082	−	0.384602i	$-0.125661\pi$
$114$	2.41282	+	2.97986i	0.225981	+	0.279090i
$115$	10.9568	−	11.1911i	1.02173	−	1.04358i
$116$	−6.63538	−	1.41104i	−0.616080	−	0.131011i
$117$	5.48613	−	3.16742i	0.507193	−	0.292828i
$118$	−16.5368	+	2.61838i	−1.52233	+	0.241041i
$119$	−13.5439	+	0.198826i	−1.24157	+	0.0182264i
$120$	0.993974	+	4.44745i	0.0907370	+	0.405994i
$121$	−2.15612	−	3.73451i	−0.196011	−	0.339501i
$122$	−15.6981	−	6.02677i	−1.42124	−	0.545638i
$123$	−2.47949	−	1.43154i	−0.223568	−	0.129077i
$124$	4.73394	+	4.26325i	0.425120	+	0.382851i
$125$	−8.15258	−	7.65085i	−0.729189	−	0.684313i
$126$	1.58607	+	9.14582i	0.141298	+	0.814774i
$127$	13.7657			1.22151			0.610756	−	0.791819i	$-0.290866\pi$
$127$	13.7657			1.22151			0.610756	+	0.791819i	$0.290866\pi$
$128$	0.588453	+	11.2984i	0.0520124	+	0.998646i
$129$	0.560842	+	0.323802i	0.0493794	+	0.0285092i
$130$	4.67729	−	6.58244i	0.410226	−	0.577318i
$131$	−8.10845	+	4.68141i	−0.708438	+	0.409017i	−0.810483	−	0.585763i	$-0.800795\pi$
$131$	−8.10845	+	4.68141i	−0.708438	+	0.409017i	0.102044	+	0.994780i	$0.467462\pi$
$132$	5.36332	−	1.74210i	0.466817	−	0.151630i
$133$	8.69352	+	4.85048i	0.753824	+	0.420590i
$134$	4.32411	−	0.684666i	0.373546	−	0.0591462i
$135$	−2.37566	−	8.50513i	−0.204464	−	0.732005i
$136$	14.4607	+	0.759865i	1.23999	+	0.0651579i
$137$	−16.1440	−	9.32074i	−1.37927	−	0.796325i	−0.387202	−	0.921995i	$-0.626559\pi$
$137$	−16.1440	−	9.32074i	−1.37927	−	0.796325i	−0.992072	+	0.125670i	$0.959892\pi$
$138$	5.54698	−	4.49143i	0.472190	−	0.382336i
$139$		−	4.50951i		−	0.382491i	−0.981542	−	0.191246i	$-0.938747\pi$
$139$		−	4.50951i		−	0.382491i	0.981542	−	0.191246i	$-0.0612527\pi$
$140$	6.69191	+	9.75799i	0.565570	+	0.824700i
$141$			4.69643i			0.395511i
$142$	−10.9796	−	13.5600i	−0.921387	−	1.13793i
$143$	−8.65351	−	4.99611i	−0.723643	−	0.417795i
$144$	−1.03543	−	9.86906i	−0.0862860	−	0.822421i
$145$	7.30486	−	2.04040i	0.606635	−	0.169446i
$146$	−1.14720	−	7.24529i	−0.0949427	−	0.599624i
$147$	−2.64906	−	4.29220i	−0.218491	−	0.354015i
$148$	3.23663	−	1.05131i	0.266049	−	0.0864175i
$149$	20.1713	−	11.6459i	1.65249	−	0.954067i	0.676451	−	0.736488i	$-0.263517\pi$
$149$	20.1713	−	11.6459i	1.65249	−	0.954067i	0.976043	−	0.217579i	$-0.0698161\pi$
$150$	−3.28930	−	3.89104i	−0.268570	−	0.317702i
$151$	8.61940	+	4.97642i	0.701437	+	0.404975i	0.807882	−	0.589344i	$-0.200614\pi$
$151$	8.61940	+	4.97642i	0.701437	+	0.404975i	−0.106445	+	0.994319i	$0.533947\pi$
$152$	−8.92472	−	5.79755i	−0.723891	−	0.470243i
$153$	−12.7009			−1.02681
$154$	11.2425	−	9.37966i	0.905945	−	0.755834i
$155$	−6.89905	−	1.77059i	−0.554145	−	0.142217i
$156$	2.46259	−	2.73448i	0.197165	−	0.218933i
$157$	9.97707	+	5.76026i	0.796257	+	0.459719i	0.842161	−	0.539227i	$-0.181283\pi$
$157$	9.97707	+	5.76026i	0.796257	+	0.459719i	−0.0459037	+	0.998946i	$0.514617\pi$
$158$	−5.17796	+	13.4872i	−0.411936	+	1.07298i
$159$	−2.10752	−	3.65033i	−0.167137	−	0.289490i
$160$	−6.43757	−	10.8884i	−0.508934	−	0.860805i
$161$	9.02910	−	16.1829i	0.711593	−	1.27539i
$162$	1.01666	+	6.42089i	0.0798767	+	0.504473i
$163$	6.80019	−	3.92609i	0.532632	−	0.307515i	−0.209456	−	0.977818i	$-0.567169\pi$
$163$	6.80019	−	3.92609i	0.532632	−	0.307515i	0.742087	+	0.670303i	$0.233836\pi$
$164$	7.77308	+	1.65297i	0.606976	+	0.129075i
$165$	−4.41073	+	4.50506i	−0.343375	+	0.350718i
$166$	−0.864392	+	0.699905i	−0.0670898	+	0.0543231i
$167$			17.7066i			1.37018i	0.728459	+	0.685090i	$0.240237\pi$
$167$			17.7066i			1.37018i	−0.728459	+	0.685090i	$0.759763\pi$
$168$	2.51756	+	4.76830i	0.194234	+	0.367883i
$169$	6.47944			0.498419
$170$	−14.7200	+	6.74041i	−1.12897	+	0.516966i
$171$	8.08390	+	4.66724i	0.618191	+	0.356913i
$172$	−1.75821	−	0.373889i	−0.134062	−	0.0285088i
$173$	−3.71071	+	2.14238i	−0.282120	+	0.162882i	−0.634383	−	0.773019i	$-0.718746\pi$
$173$	−3.71071	+	2.14238i	−0.282120	+	0.162882i	0.352263	+	0.935901i	$0.385412\pi$
$174$	3.41384	−	0.540537i	0.258802	−	0.0409780i
$175$	−11.6861	−	6.19965i	−0.883384	−	0.468650i
$176$	−12.6647	+	9.19787i	−0.954639	+	0.693316i
$177$	7.38767	−	4.26527i	0.555291	−	0.320598i
$178$	−0.397977	+	1.03662i	−0.0298296	+	0.0776981i
$179$	−6.86299	+	11.8870i	−0.512964	+	0.888479i	0.486923	+	0.873445i	$0.338119\pi$
$179$	−6.86299	+	11.8870i	−0.512964	+	0.888479i	−0.999887	+	0.0150343i	$0.995214\pi$
$180$	6.13974	+	9.24076i	0.457629	+	0.688765i
$181$	−9.40055			−0.698738			−0.349369	−	0.936985i	$-0.613604\pi$
$181$	−9.40055			−0.698738			−0.349369	+	0.936985i	$0.613604\pi$
$182$	3.29313	−	8.96901i	0.244103	−	0.664827i
$183$	8.56747			0.633326
$184$	−10.7921	+	16.6133i	−0.795601	+	1.22475i
$185$	−2.66177	+	2.71869i	−0.195697	+	0.199882i
$186$	−3.03025	−	1.16337i	−0.222189	−	0.0853022i
$187$	10.0169	+	17.3497i	0.732505	+	1.26874i
$188$	−4.02709	−	12.3980i	−0.293706	−	0.904218i
$189$	−5.35656	−	8.97110i	−0.389632	−	0.652551i
$190$	11.8459	+	1.11904i	0.859393	+	0.0811838i
$191$	15.4640	−	8.92815i	1.11894	−	0.646019i	0.177808	−	0.984065i	$-0.443100\pi$
$191$	15.4640	−	8.92815i	1.11894	−	0.646019i	0.941129	+	0.338047i	$0.109766\pi$
$192$	−2.34313	−	5.26670i	−0.169101	−	0.380091i
$193$	19.8035	+	11.4335i	1.42548	+	0.823004i	0.996760	−	0.0804313i	$-0.0256298\pi$
$193$	19.8035	+	11.4335i	1.42548	+	0.823004i	0.428725	+	0.903435i	$0.358963\pi$
$194$	18.1714	−	14.7135i	1.30463	−	1.05637i
$195$	−1.02275	+	3.98512i	−0.0732406	+	0.285380i
$196$	10.6737	+	9.05938i	0.762406	+	0.647099i
$197$	−13.6688			−0.973859			−0.486929	−	0.873441i	$-0.661883\pi$
$197$	−13.6688			−0.973859			−0.486929	+	0.873441i	$0.661883\pi$
$198$	10.6695	−	8.63921i	0.758252	−	0.613962i
$199$	−11.4509	+	19.8335i	−0.811732	+	1.40596i	0.0999183	+	0.994996i	$0.468142\pi$
$199$	−11.4509	+	19.8335i	−0.811732	+	1.40596i	−0.911651	+	0.410966i	$0.865191\pi$
$200$	12.0199	+	7.45137i	0.849932	+	0.526892i
$201$	−1.93176	+	1.11530i	−0.136256	+	0.0786675i
$202$	2.66056	+	16.8031i	0.187196	+	1.18227i
$203$	7.70507	−	4.60063i	0.540790	−	0.322901i
$204$	−7.01708	+	2.27927i	−0.491294	+	0.159581i
$205$	−8.55734	+	2.39024i	−0.597671	+	0.166942i
$206$	0.0773567	−	0.201493i	0.00538970	−	0.0140387i
$207$	8.68801	−	15.0481i	0.603859	−	1.04591i
$208$	−4.15620	+	9.33032i	−0.288180	+	0.646942i
$209$		−	14.7237i		−	1.01846i
$210$	−4.96499	−	3.41942i	−0.342617	−	0.235963i
$211$	−3.80653			−0.262052			−0.131026	−	0.991379i	$-0.541827\pi$
$211$	−3.80653			−0.262052			−0.131026	+	0.991379i	$0.541827\pi$
$212$	8.69368	+	7.82928i	0.597084	+	0.537717i
$213$	7.69874	+	4.44487i	0.527509	+	0.304558i
$214$	0.810109	−	2.11012i	0.0553779	−	0.144245i
$215$	1.93560	−	0.540654i	0.132007	−	0.0368723i
$216$	5.06970	+	9.95327i	0.344950	+	0.677234i
$217$	−8.42670	+	0.123705i	−0.572042	+	0.00839763i
$218$	21.8887	−	3.46579i	1.48249	−	0.234733i
$219$	1.86876	+	3.23678i	0.126279	+	0.218721i
$220$	7.78082	−	15.6749i	0.524583	−	1.05680i
$221$	11.3218	+	6.53664i	0.761586	+	0.439702i
$222$	−1.34754	+	1.09112i	−0.0904411	+	0.0732309i
$223$			15.1551i			1.01486i	0.861693	+	0.507430i	$0.169405\pi$
$223$			15.1551i			1.01486i	−0.861693	+	0.507430i	$0.830595\pi$
$224$	−10.7348	−	10.4290i	−0.717249	−	0.696817i
$225$	−10.8710	−	5.97336i	−0.724734	−	0.398224i
$226$	−7.27684	−	8.98700i	−0.484048	−	0.597806i
$227$	−5.92282	+	10.2586i	−0.393111	+	0.680888i	−0.992858	−	0.119301i	$-0.961935\pi$
$227$	−5.92282	+	10.2586i	−0.393111	+	0.680888i	0.599747	+	0.800190i	$0.295268\pi$
$228$	5.30381	+	1.12787i	0.351254	+	0.0746952i
$229$	0.242540	+	0.420091i	0.0160275	+	0.0277604i	0.873928	−	0.486056i	$-0.161565\pi$
$229$	0.242540	+	0.420091i	0.0160275	+	0.0277604i	−0.857900	+	0.513816i	$0.828231\pi$
$230$	2.08308	−	22.0510i	0.137354	−	1.45400i
$231$	−3.63472	+	6.51452i	−0.239147	+	0.428624i
$232$	−8.54863	+	4.35425i	−0.561245	+	0.285871i
$233$	−22.8163	+	13.1730i	−1.49475	+	0.862992i	−0.999982	−	0.00603553i	$-0.998079\pi$
$233$	−22.8163	+	13.1730i	−1.49475	+	0.862992i	−0.494764	+	0.869027i	$0.664745\pi$
$234$	3.21094	−	8.36362i	0.209905	−	0.546747i
$235$	10.4140	+	10.1960i	0.679337	+	0.665113i
$236$	−15.8452	+	17.5946i	−1.03143	+	1.14531i
$237$		−	7.36083i		−	0.478137i
$238$	−14.7091	+	12.2718i	−0.953447	+	0.795465i
$239$			1.78403i			0.115399i	0.998334	+	0.0576997i	$0.0183766\pi$
$239$			1.78403i			0.115399i	−0.998334	+	0.0576997i	$0.981623\pi$
$240$	5.05044	+	4.00357i	0.326004	+	0.258429i
$241$	−7.29829	−	4.21367i	−0.470124	−	0.271426i	0.246167	−	0.969227i	$-0.420829\pi$
$241$	−7.29829	−	4.21367i	−0.470124	−	0.271426i	−0.716292	+	0.697801i	$0.754162\pi$
$242$	−5.69327	−	2.18575i	−0.365977	−	0.140505i
$243$	−7.57992	−	13.1288i	−0.486252	−	0.842214i
$244$	−22.6171	+	7.34643i	−1.44791	+	0.470307i
$245$	−15.2688	−	3.44427i	−0.975489	−	0.220047i
$246$	−3.99917	+	0.633217i	−0.254978	+	0.0403724i
$247$	−4.80408	−	8.32091i	−0.305676	−	0.529447i
$248$	8.99708	+	0.472770i	0.571315	+	0.0300209i
$249$	0.283342	−	0.490764i	0.0179561	−	0.0311009i
$250$	−15.7692	−	1.15366i	−0.997335	−	0.0729638i
$251$			19.9871i			1.26157i	0.775956	+	0.630787i	$0.217268\pi$
$251$			19.9871i			1.26157i	−0.775956	+	0.630787i	$0.782732\pi$
$252$	9.88249	+	8.64058i	0.622538	+	0.544305i
$253$	−27.4080			−1.72312
$254$	15.1298	−	12.2507i	0.949329	−	0.768679i
$255$	5.77077	−	5.89418i	0.361380	−	0.369108i
$256$	10.7017	+	11.8943i	0.668855	+	0.743393i
$257$	0.516455	+	0.894526i	0.0322156	+	0.0557990i	0.881684	−	0.471841i	$-0.156410\pi$
$257$	0.516455	+	0.894526i	0.0322156	+	0.0557990i	−0.849468	+	0.527640i	$0.823077\pi$
$258$	0.904582	−	0.143229i	0.0563168	−	0.00891703i
$259$	−2.19346	+	3.93135i	−0.136295	+	0.244282i
$260$	−0.717219	−	11.3972i	−0.0444800	−	0.706826i
$261$	7.28725	−	4.20729i	0.451069	−	0.260425i
$262$	−4.74574	+	12.3614i	−0.293193	+	0.763687i
$263$	3.33070	−	5.76894i	0.205380	−	0.355728i	−0.744874	−	0.667205i	$-0.767490\pi$
$263$	3.33070	−	5.76894i	0.205380	−	0.355728i	0.950254	+	0.311477i	$0.100824\pi$
$264$	4.34441	−	6.68777i	0.267380	−	0.411604i
$265$	−12.6698	−	3.25161i	−0.778300	−	0.199745i
$266$	13.8716	−	2.40562i	0.850524	−	0.147498i
$267$		−	0.565752i		−	0.0346235i
$268$	4.14328	−	4.60072i	0.253091	−	0.281034i
$269$	3.75055	−	6.49615i	0.228675	−	0.396077i	−0.728740	−	0.684790i	$-0.759894\pi$
$269$	3.75055	−	6.49615i	0.228675	−	0.396077i	0.957416	+	0.288713i	$0.0932273\pi$
$270$	−10.1801	−	7.23372i	−0.619543	−	0.440230i
$271$	−1.07782	−	1.86684i	−0.0654730	−	0.113402i	0.831431	−	0.555628i	$-0.187522\pi$
$271$	−1.07782	−	1.86684i	−0.0654730	−	0.113402i	−0.896904	+	0.442226i	$0.854189\pi$
$272$	16.5698	−	12.0340i	1.00469	−	0.729669i
$273$	0.0714560	+	4.86754i	0.00432471	+	0.294597i
$274$	−26.0387	+	4.12288i	−1.57305	+	0.249072i
$275$	0.413938	+	19.5610i	0.0249614	+	1.17958i
$276$	2.09952	−	9.87298i	0.126376	−	0.594283i
$277$	5.98545	−	10.3671i	0.359631	−	0.622899i	−0.628268	−	0.777997i	$-0.716236\pi$
$277$	5.98545	−	10.3671i	0.359631	−	0.622899i	0.987899	+	0.155098i	$0.0495692\pi$
$278$	−4.01320	−	4.95636i	−0.240696	−	0.297263i
$279$	−7.90220			−0.473093
$280$	16.0391	+	4.76950i	0.958518	+	0.285032i
$281$	3.06151			0.182634			0.0913171	−	0.995822i	$-0.470892\pi$
$281$	3.06151			0.182634			0.0913171	+	0.995822i	$0.470892\pi$
$282$	4.17955	+	5.16180i	0.248889	+	0.307381i
$283$	−10.3523	+	17.9308i	−0.615383	+	1.06587i	0.374934	+	0.927051i	$0.377665\pi$
$283$	−10.3523	+	17.9308i	−0.615383	+	1.06587i	−0.990317	+	0.138823i	$0.955668\pi$
$284$	−24.1352	−	5.13242i	−1.43216	−	0.304553i
$285$	−5.83894	+	1.63094i	−0.345869	+	0.0966083i
$286$	−13.9572	+	2.20995i	−0.825309	+	0.130677i
$287$	−9.02617	+	5.38945i	−0.532798	+	0.318129i
$288$	−9.92093	−	9.92552i	−0.584596	−	0.584867i
$289$	−4.60553	−	7.97701i	−0.270913	−	0.469236i
$290$	6.21287	−	8.74348i	0.364832	−	0.513435i
$291$	−5.95647	+	10.3169i	−0.349174	+	0.604787i
$292$	−7.70877	−	6.94230i	−0.451121	−	0.406267i
$293$		−	30.5374i		−	1.78402i	−0.452020	−	0.892008i	$-0.649296\pi$
$293$		−	30.5374i		−	1.78402i	0.452020	−	0.892008i	$-0.350704\pi$
$294$	−6.73137	−	2.36000i	−0.392582	−	0.137638i
$295$	6.58073	−	25.6417i	0.383145	−	1.49291i
$296$	2.62175	−	4.03591i	0.152386	−	0.234582i
$297$	−7.72678	+	13.3832i	−0.448353	+	0.776571i
$298$	11.8059	−	30.7511i	0.683897	−	1.78137i
$299$	−15.4893	+	8.94273i	−0.895767	+	0.517171i
$300$	−7.07805	−	1.34932i	−0.408651	−	0.0779028i
$301$	2.04165	−	1.21905i	0.117679	−	0.0702649i
$302$	13.9022	−	2.20124i	0.799984	−	0.126667i
$303$	−4.33398	−	7.50668i	−0.248981	−	0.431247i
$304$	−14.9686	+	1.57046i	−0.858506	+	0.0900720i
$305$	18.6001	−	18.9978i	1.06504	−	1.08781i
$306$	−13.9595	+	11.3031i	−0.798010	+	0.646154i
$307$	7.15470			0.408340			0.204170	−	0.978935i	$-0.434550\pi$
$307$	7.15470			0.408340			0.204170	+	0.978935i	$0.434550\pi$
$308$	4.00916	−	20.3143i	0.228443	−	1.15751i
$309$			0.109968i			0.00625586i
$310$	−9.15841	+	4.19372i	−0.520163	+	0.238187i
$311$	−4.60675	+	7.97912i	−0.261225	+	0.452454i	−0.966568	−	0.256412i	$-0.917460\pi$
$311$	−4.60675	+	7.97912i	−0.261225	+	0.452454i	0.705343	+	0.708866i	$0.250793\pi$
$312$	0.273087	−	5.19701i	0.0154605	−	0.294223i
$313$	−5.15408	−	8.92713i	−0.291326	−	0.504591i	0.682798	−	0.730608i	$-0.260763\pi$
$313$	−5.15408	−	8.92713i	−0.291326	−	0.504591i	−0.974124	+	0.226016i	$0.927430\pi$
$314$	16.0920	−	2.54796i	0.908125	−	0.143790i
$315$	−14.2680	−	3.43935i	−0.803909	−	0.193785i
$316$	6.31176	+	19.4317i	0.355064	+	1.09312i
$317$	16.7268	+	28.9716i	0.939469	+	1.62721i	0.766464	+	0.642287i	$0.222014\pi$
$317$	16.7268	+	28.9716i	0.939469	+	1.62721i	0.173004	+	0.984921i	$0.444653\pi$
$318$	−5.56493	−	2.13647i	−0.312066	−	0.119807i
$319$	−11.4945	−	6.63635i	−0.643568	−	0.371564i
$320$	−16.7655	−	6.23831i	−0.937223	−	0.348732i
$321$			1.15163i			0.0642776i
$322$	−4.47803	−	25.8218i	−0.249551	−	1.43900i
$323$			19.2637i			1.07186i
$324$	6.83163	+	6.15238i	0.379535	+	0.341799i
$325$	6.61635	+	10.9196i	0.367009	+	0.605711i
$326$	3.98003	−	10.3669i	0.220434	−	0.574170i
$327$	−9.77861	+	5.64568i	−0.540758	+	0.312207i
$328$	10.0144	−	5.10083i	0.552951	−	0.281646i
$329$	15.0592	+	8.40213i	0.830239	+	0.463225i
$330$	−0.838557	+	8.87677i	−0.0461610	+	0.488650i
$331$	0.130885	+	0.226700i	0.00719411	+	0.0124606i	0.869600	−	0.493757i	$-0.164377\pi$
$331$	0.130885	+	0.226700i	0.00719411	+	0.0124606i	−0.862406	+	0.506217i	$0.831043\pi$
$332$	−0.327171	+	1.53852i	−0.0179558	+	0.0844372i
$333$	−2.11060	+	3.65567i	−0.115660	+	0.200330i
$334$	15.7579	+	19.4612i	0.862233	+	1.06487i
$335$	−1.72076	+	6.70490i	−0.0940152	+	0.366328i
$336$	7.01055	+	3.00032i	0.382457	+	0.163681i
$337$			13.7546i			0.749262i	0.927174	+	0.374631i	$0.122231\pi$
$337$			13.7546i			0.749262i	−0.927174	+	0.374631i	$0.877769\pi$
$338$	7.12150	−	5.76633i	0.387359	−	0.313647i
$339$	5.10242	+	2.94588i	0.277125	+	0.159998i
$340$	−10.1800	+	20.5083i	−0.552089	+	1.11222i
$341$	6.23225	+	10.7946i	0.337495	+	0.584559i
$342$	13.0385	−	2.06448i	0.705043	−	0.111634i
$343$	−18.5023	+	0.815316i	−0.999031	+	0.0440229i
$344$	−2.26517	+	1.15377i	−0.122130	+	0.0622070i
$345$	3.03597	+	10.8691i	0.163451	+	0.585173i
$346$	−2.17182	+	5.65699i	−0.116758	+	0.304122i
$347$	−24.9110	−	14.3824i	−1.33729	−	0.772086i	−0.350887	−	0.936418i	$-0.614120\pi$
$347$	−24.9110	−	14.3824i	−1.33729	−	0.772086i	−0.986405	+	0.164332i	$0.947453\pi$
$348$	3.27107	−	3.63222i	0.175348	−	0.194707i
$349$	23.9493			1.28197			0.640987	−	0.767551i	$-0.278525\pi$
$349$	23.9493			1.28197			0.640987	+	0.767551i	$0.278525\pi$
$350$	−18.3614	+	3.58595i	−0.981458	+	0.191677i
$351$			10.0844i			0.538267i
$352$	−5.73410	+	21.3802i	−0.305629	+	1.13957i
$353$	11.9932	−	20.7729i	0.638336	−	1.10563i	−0.347462	−	0.937694i	$-0.612956\pi$
$353$	11.9932	−	20.7729i	0.638336	−	1.10563i	0.985798	−	0.167937i	$-0.0537104\pi$
$354$	4.32388	−	11.2625i	0.229812	−	0.598597i
$355$	26.5703	−	7.42162i	1.41020	−	0.393899i
$356$	0.485121	+	1.49352i	0.0257114	+	0.0791564i
$357$	4.75547	−	8.52325i	0.251686	−	0.451098i
$358$	3.03573	+	19.1726i	0.160443	+	1.01330i
$359$	−15.3298	+	8.85066i	−0.809075	+	0.467120i	−0.846635	−	0.532175i	$-0.821375\pi$
$359$	−15.3298	+	8.85066i	−0.809075	+	0.467120i	0.0375594	+	0.999294i	$0.488042\pi$
$360$	14.9719	+	4.69242i	0.789087	+	0.247312i
$361$	−2.42111	+	4.19349i	−0.127427	+	0.220710i
$362$	−10.3321	+	8.36595i	−0.543042	+	0.439705i
$363$	3.10719			0.163085
$364$	−4.36245	−	12.7885i	−0.228655	−	0.670297i
$365$	11.2344	+	2.88323i	0.588038	+	0.150915i
$366$	9.41643	−	7.62456i	0.492205	−	0.398542i
$367$	−11.3340	−	6.54368i	−0.591629	−	0.341577i	0.174112	−	0.984726i	$-0.444294\pi$
$367$	−11.3340	−	6.54368i	−0.591629	−	0.341577i	−0.765742	+	0.643148i	$0.777628\pi$
$368$	2.92339	+	27.8638i	0.152392	+	1.45250i
$369$	−8.53672	+	4.92868i	−0.444404	+	0.256577i
$370$	−0.506049	+	5.35691i	−0.0263082	+	0.278493i
$371$	−15.4753	+	0.227179i	−0.803436	+	0.0117945i
$372$	−4.36586	+	1.41811i	−0.226359	+	0.0735254i
$373$	11.0243	+	19.0947i	0.570817	+	0.988684i	0.996482	+	0.0838033i	$0.0267067\pi$
$373$	11.0243	+	19.0947i	0.570817	+	0.988684i	−0.425665	+	0.904881i	$0.639960\pi$
$374$	26.4497	+	10.1545i	1.36768	+	0.525076i
$375$	7.71142	−	2.33092i	0.398216	−	0.120368i
$376$	−15.4597	−	10.0427i	−0.797271	−	0.517912i
$377$	−8.66129			−0.446079
$378$	−13.8711	−	5.09302i	−0.713453	−	0.261957i
$379$	18.8729			0.969437			0.484719	−	0.874670i	$-0.338922\pi$
$379$	18.8729			0.969437			0.484719	+	0.874670i	$0.338922\pi$
$380$	14.0156	−	9.31225i	0.718986	−	0.477708i
$381$	−4.95946	+	8.59004i	−0.254081	+	0.440081i
$382$	9.05083	−	23.5749i	0.463081	−	1.20620i
$383$	14.2851	−	8.24751i	0.729935	−	0.421428i	−0.0884637	−	0.996079i	$-0.528196\pi$
$383$	14.2851	−	8.24751i	0.729935	−	0.421428i	0.818398	+	0.574651i	$0.194862\pi$
$384$	−7.26238	−	3.70333i	−0.370607	−	0.188985i
$385$	6.55453	+	22.2029i	0.334050	+	1.13156i
$386$	31.9410	−	5.05744i	1.62575	−	0.257417i
$387$	1.93094	−	1.11483i	0.0981551	−	0.0566699i
$388$	6.87784	−	32.3430i	0.349169	−	1.64196i
$389$	−1.28484	−	0.741804i	−0.0651441	−	0.0376110i	0.467074	−	0.884218i	$-0.345308\pi$
$389$	−1.28484	−	0.741804i	−0.0651441	−	0.0376110i	−0.532218	+	0.846607i	$0.678641\pi$
$390$	2.42243	+	5.29019i	0.122664	+	0.267879i
$391$	35.8591			1.81347
$392$	19.7937	+	0.458121i	0.999732	+	0.0231386i
$393$		−	6.74639i		−	0.340311i
$394$	−15.0232	+	12.1644i	−0.756859	+	0.612834i
$395$	−16.3222	−	15.9804i	−0.821258	−	0.804063i
$396$	4.03841	−	18.9906i	0.202938	−	0.954312i
$397$	−23.3671	+	13.4910i	−1.17276	+	0.677093i	−0.954329	−	0.298759i	$-0.903427\pi$
$397$	−23.3671	+	13.4910i	−1.17276	+	0.677093i	−0.218431	+	0.975852i	$0.570094\pi$
$398$	5.06512	+	31.9895i	0.253892	+	1.60349i
$399$	−6.15884	+	3.67739i	−0.308327	+	0.184100i
$400$	19.8422	−	2.50724i	0.992111	−	0.125362i
$401$	4.72660	+	8.18671i	0.236035	+	0.408825i	0.959573	−	0.281460i	$-0.0908186\pi$
$401$	4.72660	+	8.18671i	0.236035	+	0.408825i	−0.723538	+	0.690285i	$0.757485\pi$
$402$	−1.13063	+	2.94498i	−0.0563906	+	0.146882i
$403$	7.04415	+	4.06694i	0.350894	+	0.202589i
$404$	17.8780	+	16.1004i	0.889465	+	0.801027i
$405$	−9.95614	−	2.55517i	−0.494725	−	0.126967i
$406$	4.37428	−	11.9136i	0.217092	−	0.591261i
$407$	6.65830			0.330040
$408$	−5.68399	+	8.74992i	−0.281400	+	0.433186i
$409$	−18.4734	−	10.6656i	−0.913451	−	0.527381i	−0.0319110	−	0.999491i	$-0.510159\pi$
$409$	−18.4734	−	10.6656i	−0.913451	−	0.527381i	−0.881540	+	0.472110i	$0.843493\pi$
$410$	−7.27813	+	10.2426i	−0.359441	+	0.505848i
$411$	11.6326	−	6.71607i	0.573792	−	0.331279i
$412$	−0.0942953	−	0.290302i	−0.00464559	−	0.0143022i
$413$	−0.459773	−	31.3195i	−0.0226240	−	1.54113i
$414$	−3.84301	−	24.2711i	−0.188873	−	1.19286i
$415$	−0.473098	−	1.69375i	−0.0232235	−	0.0831428i
$416$	3.73541	+	13.9537i	0.183144	+	0.684134i
$417$	2.81400	+	1.62466i	0.137802	+	0.0795602i
$418$	−13.1032	−	16.1827i	−0.640901	−	0.791521i
$419$		−	27.0871i		−	1.32329i	−0.749816	−	0.661646i	$-0.769858\pi$
$419$		−	27.0871i		−	1.32329i	0.749816	−	0.661646i	$-0.230142\pi$
$420$	−8.50007	+	0.660295i	−0.414761	+	0.0322191i
$421$		−	10.8575i		−	0.529163i	−0.964363	−	0.264581i	$-0.914766\pi$
$421$		−	10.8575i		−	0.529163i	0.964363	−	0.264581i	$-0.0852338\pi$
$422$	−4.18372	+	3.38759i	−0.203660	+	0.164905i
$423$	14.0032	+	8.08473i	0.680857	+	0.393093i
$424$	16.5228	+	0.868222i	0.802416	+	0.0421646i
$425$	−0.541575	−	25.5926i	−0.0262702	−	1.24143i
$426$	12.4173	−	1.96612i	0.601620	−	0.0952587i
$427$	15.3276	−	27.4717i	0.741755	−	1.32945i
$428$	−0.987497	−	3.04016i	−0.0477325	−	0.146952i
$429$	6.23530	−	3.59995i	0.301043	−	0.173807i
$430$	1.64626	−	2.31681i	0.0793895	−	0.111726i
$431$	−1.43863	−	0.830592i	−0.0692963	−	0.0400082i	0.464952	−	0.885336i	$-0.346072\pi$
$431$	−1.43863	−	0.830592i	−0.0692963	−	0.0400082i	−0.534248	+	0.845328i	$0.679405\pi$
$432$	14.4299	+	6.42781i	0.694259	+	0.309258i
$433$	30.7666			1.47855			0.739274	−	0.673405i	$-0.235169\pi$
$433$	30.7666			1.47855			0.739274	+	0.673405i	$0.235169\pi$
$434$	−9.15163	+	7.63524i	−0.439292	+	0.366503i
$435$	−1.35852	+	5.29345i	−0.0651361	+	0.253801i
$436$	20.9733	−	23.2889i	1.00444	−	1.11534i
$437$	−22.8237	−	13.1773i	−1.09181	−	0.630354i
$438$	4.93448	+	1.89443i	0.235779	+	0.0905194i
$439$	−5.33622	−	9.24260i	−0.254684	−	0.441125i	0.710126	−	0.704075i	$-0.248638\pi$
$439$	−5.33622	−	9.24260i	−0.254684	−	0.441125i	−0.964810	+	0.262950i	$0.915305\pi$
$440$	−5.39796	−	24.1527i	−0.257338	−	1.15143i
$441$	−17.3582	+	0.509749i	−0.826579	+	0.0242738i
$442$	18.2609	−	2.89138i	0.868584	−	0.137529i
$443$	10.4954	−	6.05950i	0.498650	−	0.287896i	−0.229506	−	0.973307i	$-0.573711\pi$
$443$	10.4954	−	6.05950i	0.498650	−	0.287896i	0.728156	+	0.685412i	$0.240378\pi$
$444$	−0.510043	+	2.39847i	−0.0242056	+	0.113826i
$445$	−1.25452	−	1.22825i	−0.0594699	−	0.0582248i
$446$	13.4872	+	16.6568i	0.638636	+	0.788725i
$447$			16.7829i			0.793804i
$448$	−21.0797	−	1.90908i	−0.995924	−	0.0901957i
$449$	32.0498			1.51252			0.756261	−	0.654270i	$-0.227024\pi$
$449$	32.0498			1.51252			0.756261	+	0.654270i	$0.227024\pi$
$450$	−17.2642	+	3.10931i	−0.813842	+	0.146574i
$451$	13.4653	+	7.77422i	0.634058	+	0.366074i
$452$	−15.9958	−	3.40157i	−0.752380	−	0.159996i
$453$	−6.21072	+	3.58576i	−0.291805	+	0.168474i
$454$	2.61986	+	16.5461i	0.122956	+	0.776548i
$455$	10.9486	+	10.4090i	0.513278	+	0.487983i
$456$	6.83312	−	3.48045i	0.319990	−	0.162987i
$457$	5.80174	−	3.34963i	0.271394	−	0.156689i	−0.358127	−	0.933673i	$-0.616585\pi$
$457$	5.80174	−	3.34963i	0.271394	−	0.156689i	0.629521	+	0.776984i	$0.283251\pi$
$458$	0.640430	+	0.245872i	0.0299253	+	0.0114889i
$459$	10.1093	−	17.5098i	0.471862	−	0.817289i
$460$	−17.3346	−	26.0899i	−0.808231	−	1.21645i
$461$	−15.4768			−0.720828			−0.360414	−	0.932792i	$-0.617365\pi$
$461$	−15.4768			−0.720828			−0.360414	+	0.932792i	$0.617365\pi$
$462$	1.80266	+	10.3947i	0.0838673	+	0.483607i
$463$	14.8717			0.691145			0.345572	−	0.938392i	$-0.387685\pi$
$463$	14.8717			0.691145			0.345572	+	0.938392i	$0.387685\pi$
$464$	−5.52070	+	12.3935i	−0.256292	+	0.575354i
$465$	3.59043	−	3.66721i	0.166502	−	0.170063i
$466$	−13.3540	+	34.7835i	−0.618612	+	1.61132i
$467$	−0.0443182	−	0.0767615i	−0.00205080	−	0.00355210i	0.864998	−	0.501775i	$-0.167319\pi$
$467$	−0.0443182	−	0.0767615i	−0.00205080	−	0.00355210i	−0.867049	+	0.498223i	$0.833986\pi$
$468$	−3.91403	−	12.0499i	−0.180926	−	0.557008i
$469$	0.120224	+	8.18956i	0.00555141	+	0.378159i
$470$	20.5198	+	1.93844i	0.946509	+	0.0894133i
$471$	−7.18899	+	4.15056i	−0.331251	+	0.191248i
$472$	−1.75714	+	33.4394i	−0.0808790	+	1.53917i
$473$	−3.04576	−	1.75847i	−0.140044	−	0.0808544i
$474$	−6.55072	−	8.09023i	−0.300884	−	0.371596i
$475$	−9.05990	+	16.4883i	−0.415697	+	0.756533i
$476$	−5.24538	+	26.5781i	−0.240422	+	1.21821i
$477$	−14.5121			−0.664462
$478$	1.58769	+	1.96081i	0.0726190	+	0.0896855i
$479$	4.36928	−	7.56782i	0.199638	−	0.345783i	−0.748773	−	0.662826i	$-0.769357\pi$
$479$	4.36928	−	7.56782i	0.199638	−	0.345783i	0.948411	+	0.317044i	$0.102690\pi$
$480$	9.11384	−	0.0943102i	0.415988	−	0.00430465i
$481$	3.76285	−	2.17248i	0.171571	−	0.0990567i
$482$	−11.7714	+	1.86385i	−0.536173	+	0.0848961i
$483$	6.84541	+	11.4646i	0.311477	+	0.521657i
$484$	−8.20262	+	2.66435i	−0.372846	+	0.121107i
$485$	9.94554	+	35.6062i	0.451604	+	1.61679i
$486$	−20.0149	−	7.68407i	−0.907895	−	0.348556i
$487$	8.60661	−	14.9071i	0.390003	−	0.675504i	−0.602447	−	0.798159i	$-0.705807\pi$
$487$	8.60661	−	14.9071i	0.390003	−	0.675504i	0.992449	+	0.122655i	$0.0391408\pi$
$488$	−18.3204	+	28.2023i	−0.829325	+	1.27666i
$489$			5.65789i			0.255859i
$490$	−19.8470	+	9.80280i	−0.896598	+	0.442846i
$491$	−15.0849			−0.680770			−0.340385	−	0.940286i	$-0.610557\pi$
$491$	−15.0849			−0.680770			−0.340385	+	0.940286i	$0.610557\pi$
$492$	−3.83193	+	4.25500i	−0.172757	+	0.191830i
$493$	15.0388	+	8.68265i	0.677313	+	0.391047i
$494$	−12.6852	−	4.87008i	−0.570736	−	0.219115i
$495$	5.83965	+	20.9066i	0.262473	+	0.939683i
$496$	10.3094	−	7.48727i	0.462904	−	0.336188i
$497$	28.0260	−	16.7341i	1.25714	−	0.750625i
$498$	−0.125332	−	0.791553i	−0.00561626	−	0.0354703i
$499$	−12.9769	−	22.4766i	−0.580925	−	1.00619i	−0.995370	−	0.0961171i	$-0.969358\pi$
$499$	−12.9769	−	22.4766i	−0.580925	−	1.00619i	0.414445	−	0.910074i	$-0.363976\pi$
$500$	−18.3585	+	12.7657i	−0.821019	+	0.570901i
$501$	−11.0492	−	6.37926i	−0.493642	−	0.285004i
$502$	17.7874	+	21.9676i	0.793889	+	0.980464i
$503$			6.00776i			0.267873i	0.990990	+	0.133936i	$0.0427618\pi$
$503$			6.00776i			0.267873i	−0.990990	+	0.133936i	$0.957238\pi$
$504$	18.5514	+	0.701942i	0.826344	+	0.0312670i
$505$	−26.0547	−	6.68674i	−1.15942	−	0.297556i
$506$	−30.1239	+	24.3915i	−1.33917	+	1.08434i
$507$	−2.33438	+	4.04327i	−0.103674	+	0.179568i
$508$	5.72661	−	26.9293i	0.254077	−	1.19480i
$509$	−4.28454	−	7.42104i	−0.189909	−	0.328932i	0.755311	−	0.655367i	$-0.227486\pi$
$509$	−4.28454	−	7.42104i	−0.189909	−	0.328932i	−0.945220	+	0.326435i	$0.894153\pi$
$510$	1.09712	−	11.6139i	0.0485814	−	0.514272i
$511$	13.7221	−	0.201442i	0.607029	−	0.00891125i
$512$	22.3474	+	3.54902i	0.987623	+	0.156846i
$513$	−12.8688	+	7.42979i	−0.568171	+	0.328033i
$514$	1.36371	+	0.523551i	0.0601506	+	0.0230928i
$515$	0.243847	+	0.238741i	0.0107452	+	0.0105202i
$516$	0.866753	−	0.962447i	0.0381567	−	0.0423694i
$517$		−	25.5048i		−	1.12170i
$518$	1.08786	+	6.27298i	0.0477978	+	0.275619i
$519$		−	3.08739i		−	0.135521i
$520$	−10.9312	−	11.8883i	−0.479363	−	0.521337i
$521$	16.4208	+	9.48055i	0.719408	+	0.415350i	0.814535	−	0.580115i	$-0.196992\pi$
$521$	16.4208	+	9.48055i	0.719408	+	0.415350i	−0.0951267	+	0.995465i	$0.530326\pi$
$522$	4.26510	−	11.1094i	0.186678	−	0.486247i
$523$	−18.0605	−	31.2816i	−0.789729	−	1.36785i	−0.926133	−	0.377197i	$-0.876888\pi$
$523$	−18.0605	−	31.2816i	−0.789729	−	1.36785i	0.136404	−	0.990653i	$-0.456445\pi$
$524$	5.78490	+	17.8097i	0.252714	+	0.778020i
$525$	8.07888	−	5.05871i	0.352591	−	0.220780i
$526$	−1.47328	−	9.30473i	−0.0642382	−	0.405705i
$527$	−8.15394	−	14.1230i	−0.355191	−	0.615209i
$528$	−1.17683	−	11.2167i	−0.0512149	−	0.488146i
$529$	−13.0293	+	22.5674i	−0.566492	+	0.981192i
$530$	−16.8190	+	7.70159i	−0.730572	+	0.334536i
$531$		−	29.3701i		−	1.27455i
$532$	13.1053	−	14.9889i	0.568188	−	0.649853i
$533$	10.1463			0.439487
$534$	−0.503487	−	0.621813i	−0.0217880	−	0.0269085i
$535$	2.55366	+	2.50019i	0.110404	+	0.108093i
$536$	0.459465	−	8.74389i	0.0198459	−	0.377679i
$537$	−4.94513	−	8.56522i	−0.213398	−	0.369616i
$538$	−1.65900	−	10.4776i	−0.0715245	−	0.451723i
$539$	14.3862	+	23.3096i	0.619659	+	1.00401i
$540$	−17.6265	+	1.10922i	−0.758524	+	0.0477333i
$541$	−12.3425	+	7.12594i	−0.530645	+	0.306368i	−0.741279	−	0.671197i	$-0.765781\pi$
$541$	−12.3425	+	7.12594i	−0.530645	+	0.306368i	0.210634	+	0.977565i	$0.432447\pi$
$542$	−2.84600	−	1.09263i	−0.122246	−	0.0469325i
$543$	3.38679	−	5.86609i	0.145341	−	0.251738i
$544$	7.50220	−	27.9727i	0.321654	−	1.19932i
$545$	−8.71051	+	33.9403i	−0.373117	+	1.45384i
$546$	4.41037	+	5.28628i	0.188746	+	0.226232i
$547$		−	22.3957i		−	0.957570i	−0.877932	−	0.478785i	$-0.841077\pi$
$547$		−	22.3957i		−	0.957570i	0.877932	−	0.478785i	$-0.158923\pi$
$548$	−24.9497	+	27.7043i	−1.06580	+	1.18347i
$549$	14.7486	−	25.5453i	0.629455	−	1.09025i
$550$	17.8632	+	21.1310i	0.761688	+	0.901029i
$551$	−6.38128	−	11.0527i	−0.271852	−	0.470861i
$552$	−6.47882	−	12.7198i	−0.275757	−	0.541389i
$553$	−23.6026	−	13.1689i	−1.00369	−	0.559998i
$554$	−2.64757	−	16.7211i	−0.112485	−	0.710412i
$555$	−0.737536	−	2.64046i	−0.0313066	−	0.112081i
$556$	−8.82175	−	1.87598i	−0.374126	−	0.0795591i
$557$	−10.3454	+	17.9188i	−0.438350	+	0.759244i	−0.997562	−	0.0697803i	$-0.977770\pi$
$557$	−10.3454	+	17.9188i	−0.438350	+	0.759244i	0.559213	+	0.829024i	$0.311103\pi$
$558$	−8.68525	+	7.03251i	−0.367676	+	0.297710i
$559$	−2.29502			−0.0970692
$560$	21.8730	−	9.03174i	0.924303	−	0.381661i
$561$	−14.4353			−0.609460
$562$	3.36488	−	2.72456i	0.141939	−	0.114929i
$563$	8.03504	−	13.9171i	0.338636	−	0.586536i	−0.645540	−	0.763726i	$-0.723368\pi$
$563$	8.03504	−	13.9171i	0.338636	−	0.586536i	0.984177	+	0.177191i	$0.0567010\pi$
$564$	9.18742	+	1.95373i	0.386860	+	0.0822671i
$565$	17.6097	−	4.91876i	0.740846	−	0.206934i
$566$	4.57920	+	28.9206i	0.192478	+	1.21562i
$567$	−12.1607	+	0.178521i	−0.510703	+	0.00749717i
$568$	−31.0943	+	15.8379i	−1.30469	+	0.664544i
$569$	8.09523	+	14.0213i	0.339370	+	0.587805i	0.984314	−	0.176424i	$-0.0564530\pi$
$569$	8.09523	+	14.0213i	0.339370	+	0.587805i	−0.644945	+	0.764229i	$0.723120\pi$
$570$	−4.96609	+	6.98887i	−0.208007	+	0.292731i
$571$	15.6257	−	27.0645i	0.653914	−	1.13261i	−0.328251	−	0.944591i	$-0.606459\pi$
$571$	15.6257	−	27.0645i	0.653914	−	1.13261i	0.982165	−	0.188022i	$-0.0602076\pi$
$572$	−13.3736	+	14.8501i	−0.559177	+	0.620913i
$573$			12.8664i			0.537501i
$574$	−5.12429	+	13.9563i	−0.213884	+	0.582523i
$575$	30.6927	+	16.8649i	1.27997	+	0.703314i
$576$	−19.7372	−	2.08000i	−0.822381	−	0.0866667i
$577$	−1.08399	+	1.87753i	−0.0451271	+	0.0781625i	−0.887707	−	0.460409i	$-0.847703\pi$
$577$	−1.08399	+	1.87753i	−0.0451271	+	0.0781625i	0.842580	+	0.538572i	$0.181036\pi$
$578$	−12.1610	−	4.66881i	−0.505830	−	0.194197i
$579$	−14.2694	+	8.23845i	−0.593016	+	0.342378i
$580$	−0.952685	−	15.1390i	−0.0395581	−	0.628612i
$581$	−1.06673	−	1.78654i	−0.0442553	−	0.0741183i
$582$	2.63475	+	16.6401i	0.109214	+	0.689756i
$583$	11.4453	+	19.8238i	0.474014	+	0.821017i
$584$	−14.6509	−	0.769861i	−0.606258	−	0.0318571i
$585$	10.1217	+	9.90973i	0.418479	+	0.409717i
$586$	−27.1766	−	33.5634i	−1.12265	−	1.38649i
$587$	30.3449			1.25247			0.626235	−	0.779634i	$-0.284595\pi$
$587$	30.3449			1.25247			0.626235	+	0.779634i	$0.284595\pi$
$588$	−9.49866	+	3.39667i	−0.391718	+	0.140076i
$589$			11.9854i			0.493850i
$590$	−15.5868	−	34.0390i	−0.641697	−	1.40136i
$591$	4.92452	−	8.52952i	0.202568	−	0.350857i
$592$	−0.710187	−	6.76903i	−0.0291885	−	0.278206i
$593$	18.6695	+	32.3365i	0.766664	+	1.32790i	0.939363	+	0.342926i	$0.111418\pi$
$593$	18.6695	+	32.3365i	0.766664	+	1.32790i	−0.172699	+	0.984975i	$0.555249\pi$
$594$	3.41782	+	21.5857i	0.140235	+	0.885673i
$595$	−8.57560	−	29.0490i	−0.351565	−	1.19089i
$596$	−14.3910	−	44.3049i	−0.589478	−	1.81480i
$597$	−8.25095	−	14.2911i	−0.337689	−	0.584895i
$598$	−9.06560	+	23.6134i	−0.370720	+	0.965625i
$599$	−12.2174	−	7.05370i	−0.499188	−	0.288206i	0.229190	−	0.973382i	$-0.426392\pi$
$599$	−12.2174	−	7.05370i	−0.499188	−	0.288206i	−0.728378	+	0.685175i	$0.759726\pi$
$600$	−8.98023	+	4.81603i	−0.366617	+	0.196614i
$601$			19.7058i			0.803815i	0.915680	+	0.401907i	$0.131653\pi$
$601$			19.7058i			0.803815i	−0.915680	+	0.401907i	$0.868347\pi$
$602$	1.15907	−	3.15680i	0.0472404	−	0.128662i
$603$			7.67982i			0.312747i
$604$	13.3209	−	14.7916i	0.542018	−	0.601860i
$605$	6.74574	−	6.89000i	0.274253	−	0.280118i
$606$	−11.4440	−	4.39353i	−0.464879	−	0.178475i
$607$	−28.1585	+	16.2573i	−1.14292	+	0.659865i	−0.947152	−	0.320785i	$-0.896053\pi$
$607$	−28.1585	+	16.2573i	−1.14292	+	0.659865i	−0.195768	+	0.980650i	$0.562720\pi$
$608$	−15.0542	+	15.0472i	−0.610529	+	0.610246i
$609$	0.0949153	+	6.46557i	0.00384616	+	0.261998i
$610$	3.53619	−	37.4333i	0.143176	−	1.51563i
$611$	−8.32176	−	14.4137i	−0.336662	−	0.583116i
$612$	−5.28364	+	24.8463i	−0.213578	+	1.00435i
$613$	−6.14971	+	10.6516i	−0.248384	+	0.430214i	−0.963078	−	0.269224i	$-0.913233\pi$
$613$	−6.14971	+	10.6516i	−0.248384	+	0.430214i	0.714693	+	0.699438i	$0.246566\pi$
$614$	7.86367	−	6.36727i	0.317352	−	0.256962i
$615$	1.59145	−	6.20106i	0.0641736	−	0.250051i
$616$	−13.6721	−	25.8952i	−0.550864	−	1.04335i
$617$		−	16.0440i		−	0.645909i	−0.946415	−	0.322954i	$-0.895324\pi$
$617$		−	16.0440i		−	0.645909i	0.946415	−	0.322954i	$-0.104676\pi$
$618$	0.0978651	+	0.120865i	0.00393671	+	0.00486190i
$619$	−20.5927	−	11.8892i	−0.827691	−	0.477868i	0.0253703	−	0.999678i	$-0.491924\pi$
$619$	−20.5927	−	11.8892i	−0.827691	−	0.477868i	−0.853061	+	0.521810i	$0.825257\pi$
$620$	−6.33376	+	12.7597i	−0.254370	+	0.512443i
$621$	13.8305	+	23.9551i	0.554997	+	0.961284i
$622$	2.03772	+	12.8695i	0.0817052	+	0.516021i
$623$	−1.81409	−	1.01216i	−0.0726801	−	0.0405512i
$624$	−4.32489	−	5.95502i	−0.173134	−	0.238392i
$625$	11.5729	−	22.1601i	0.462916	−	0.886402i
$626$	−13.6094	−	5.22490i	−0.543943	−	0.208829i
$627$	9.18782	+	5.30459i	0.366926	+	0.211845i
$628$	15.4191	−	17.1214i	0.615288	−	0.683219i
$629$	−8.71136			−0.347345
$630$	−18.7426	+	8.91751i	−0.746724	+	0.355282i
$631$		−	20.0177i		−	0.796893i	−0.917192	−	0.398447i	$-0.869549\pi$
$631$		−	20.0177i		−	0.796893i	0.917192	−	0.398447i	$-0.130451\pi$
$632$	24.2303	+	15.7401i	0.963831	+	0.626109i
$633$	1.37140	−	2.37533i	0.0545082	−	0.0944109i
$634$	44.1673	+	16.9566i	1.75411	+	0.673432i
$635$	8.28083	+	29.6464i	0.328615	+	1.17648i
$636$	−8.01771	+	2.60429i	−0.317923	+	0.103267i
$637$	15.7357	+	8.47913i	0.623470	+	0.335956i
$638$	−18.5395	+	2.93549i	−0.733985	+	0.116217i
$639$	26.5062	−	15.3034i	1.04857	−	0.605392i
$640$	−23.9786	+	8.06390i	−0.947838	+	0.318754i
$641$	−0.346690	+	0.600484i	−0.0136934	+	0.0237177i	−0.872791	−	0.488094i	$-0.837692\pi$
$641$	−0.346690	+	0.600484i	−0.0136934	+	0.0237177i	0.859097	+	0.511812i	$0.171026\pi$
$642$	1.02488	+	1.26574i	0.0404489	+	0.0499549i
$643$	−42.2717			−1.66703			−0.833516	−	0.552495i	$-0.813676\pi$
$643$	−42.2717			−1.66703			−0.833516	+	0.552495i	$0.813676\pi$
$644$	−27.9017	−	24.3954i	−1.09948	−	0.961313i
$645$	−0.359974	+	1.40263i	−0.0141740	+	0.0552286i
$646$	17.1436	+	21.1726i	0.674506	+	0.833024i
$647$	−30.8701	−	17.8229i	−1.21363	−	0.700690i	−0.250082	−	0.968225i	$-0.580458\pi$
$647$	−30.8701	−	17.8229i	−1.21363	−	0.700690i	−0.963548	+	0.267535i	$0.913791\pi$
$648$	12.9839	+	0.682263i	0.510054	+	0.0268018i
$649$	−40.1201	+	23.1634i	−1.57485	+	0.909242i
$650$	16.9898	+	6.11348i	0.666395	+	0.239790i
$651$	2.95874	−	5.30296i	0.115962	−	0.207839i
$652$	−4.85153	−	14.9362i	−0.190001	−	0.584946i
$653$	−1.40762	−	2.43807i	−0.0550845	−	0.0954091i	0.837168	−	0.546945i	$-0.184209\pi$
$653$	−1.40762	−	2.43807i	−0.0550845	−	0.0954091i	−0.892253	+	0.451536i	$0.850876\pi$
$654$	−5.72325	+	14.9075i	−0.223797	+	0.582930i
$655$	−14.9597	−	14.6465i	−0.584524	−	0.572286i
$656$	6.46727	−	14.5185i	0.252505	−	0.566852i
$657$	12.8680			0.502028
$658$	24.0288	−	4.16708i	0.936741	−	0.162450i
$659$	8.69907			0.338868			0.169434	−	0.985542i	$-0.445806\pi$
$659$	8.69907			0.338868			0.169434	+	0.985542i	$0.445806\pi$
$660$	6.97816	+	10.5026i	0.271625	+	0.408815i
$661$	13.7443	−	23.8058i	0.534591	−	0.925939i	−0.464592	−	0.885525i	$-0.653799\pi$
$661$	13.7443	−	23.8058i	0.534591	−	0.925939i	0.999183	−	0.0404142i	$-0.0128677\pi$
$662$	0.345605	+	0.132684i	0.0134323	+	0.00515690i
$663$	−8.15793	+	4.70998i	−0.316828	+	0.182921i
$664$	1.00960	+	1.98214i	0.0391802	+	0.0769218i
$665$	−5.21652	+	21.6405i	−0.202288	+	0.839182i
$666$	0.933592	+	5.89624i	0.0361760	+	0.228474i
$667$	−20.5745	+	11.8787i	−0.796646	+	0.459944i
$668$	34.6387	+	7.36604i	1.34021	+	0.285000i
$669$	−9.45702	−	5.46001i	−0.365630	−	0.211096i
$670$	4.07570	+	8.90068i	0.157458	+	0.343863i
$671$	−46.5272			−1.79616
$672$	10.3753	−	2.94136i	0.400238	−	0.113466i
$673$			12.1015i			0.466480i	0.972419	+	0.233240i	$0.0749328\pi$
$673$			12.1015i			0.466480i	−0.972419	+	0.233240i	$0.925067\pi$
$674$	12.2408	+	15.1176i	0.471499	+	0.582308i
$675$	16.8878	−	10.2326i	0.650013	−	0.393852i
$676$	2.69548	−	12.6755i	0.103672	−	0.487517i
$677$	−5.13926	+	2.96715i	−0.197518	+	0.114037i	−0.595497	−	0.803357i	$-0.703045\pi$
$677$	−5.13926	+	2.96715i	−0.197518	+	0.114037i	0.397979	+	0.917394i	$0.369712\pi$
$678$	8.22969	−	1.30306i	0.316059	−	0.0500439i
$679$	22.4249	+	37.5569i	0.860589	+	1.44130i
$680$	7.06240	+	31.6001i	0.270831	+	1.21181i
$681$	−4.26769	−	7.39186i	−0.163538	−	0.283257i
$682$	16.4564	+	6.31788i	0.630147	+	0.241924i
$683$	15.2951	+	8.83063i	0.585250	+	0.337894i	0.763217	−	0.646142i	$-0.223619\pi$
$683$	15.2951	+	8.83063i	0.585250	+	0.337894i	−0.177967	+	0.984036i	$0.556952\pi$
$684$	12.4933	−	13.8726i	0.477692	−	0.530432i
$685$	10.3620	−	40.3752i	0.395910	−	1.54266i
$686$	−19.6101	+	17.3621i	−0.748719	+	0.662888i
$687$	−0.349524			−0.0133352
$688$	−1.46285	+	3.28397i	−0.0557705	+	0.125200i
$689$	12.9363	+	7.46876i	0.492833	+	0.284537i
$690$	13.0097	+	9.24431i	0.495270	+	0.351925i
$691$	11.4396	−	6.60468i	0.435184	−	0.251254i	−0.266368	−	0.963871i	$-0.585824\pi$
$691$	11.4396	−	6.60468i	0.435184	−	0.251254i	0.701553	+	0.712617i	$0.252490\pi$
$692$	2.64737	+	8.15034i	0.100638	+	0.309830i
$693$	13.1671	+	22.0520i	0.500176	+	0.837687i
$694$	−40.1790	+	6.36181i	−1.52517	+	0.241491i
$695$	9.71182	−	2.71271i	0.368390	−	0.102899i
$696$	0.362743	−	6.90321i	0.0137497	−	0.261665i
$697$	−17.6173	−	10.1714i	−0.667304	−	0.385268i
$698$	26.3224	−	21.3135i	0.996319	−	0.806727i
$699$		−	18.9836i		−	0.718027i
$700$	−16.9896	+	20.2819i	−0.642145	+	0.766583i
$701$			6.75429i			0.255106i	0.991832	+	0.127553i	$0.0407123\pi$
$701$			6.75429i			0.255106i	−0.991832	+	0.127553i	$0.959288\pi$
$702$	8.97457	+	11.0837i	0.338723	+	0.418328i
$703$	5.54462	+	3.20119i	0.209119	+	0.120735i
$704$	12.7248	+	28.6018i	0.479585	+	1.07797i
$705$	−10.1144	+	2.82515i	−0.380930	+	0.106401i
$706$	−5.30502	−	33.5046i	−0.199657	−	1.26096i
$707$	−31.8240	+	0.467180i	−1.19686	+	0.0175701i
$708$	−5.27067	−	16.2266i	−0.198084	−	0.609831i
$709$	−34.2027	+	19.7470i	−1.28451	+	0.741612i	−0.977669	−	0.210148i	$-0.932605\pi$
$709$	−34.2027	+	19.7470i	−1.28451	+	0.741612i	−0.306841	+	0.951761i	$0.599272\pi$
$710$	22.5983	−	31.8031i	0.848101	−	1.19355i
$711$	−21.9475	−	12.6714i	−0.823097	−	0.475215i
$712$	1.86234	+	1.20978i	0.0697941	+	0.0453386i
$713$	22.3107			0.835542
$714$	−2.35850	−	13.5999i	−0.0882647	−	0.508965i
$715$	5.55423	−	21.6419i	0.207716	−	0.809362i
$716$	20.3991	+	18.3708i	0.762349	+	0.686550i
$717$	−1.11326	−	0.642743i	−0.0415756	−	0.0240037i
$718$	−8.97226	+	23.3703i	−0.334842	+	0.872172i
$719$	4.16021	+	7.20569i	0.155150	+	0.268727i	0.933113	−	0.359582i	$-0.117081\pi$
$719$	4.16021	+	7.20569i	0.155150	+	0.268727i	−0.777964	+	0.628309i	$0.783747\pi$
$720$	20.6315	−	8.16671i	0.768889	−	0.304355i
$721$	0.352614	+	0.196738i	0.0131320	+	0.00732690i
$722$	1.07094	+	6.76367i	0.0398562	+	0.251718i
$723$	5.25879	−	3.03616i	0.195577	−	0.112916i
$724$	−3.91067	+	18.3899i	−0.145339	+	0.683455i
$725$	8.78853	+	14.5046i	0.326398	+	0.538686i
$726$	3.41509	−	2.76522i	0.126746	−	0.102627i
$727$		−	12.2319i		−	0.453654i	−0.973935	−	0.226827i	$-0.927165\pi$
$727$		−	12.2319i		−	0.453654i	0.973935	−	0.226827i	$-0.0728353\pi$
$728$	−16.1757	−	10.1734i	−0.599512	−	0.377050i
$729$	−2.86701			−0.106186
$730$	14.9136	−	6.82907i	0.551977	−	0.252755i
$731$	3.98490	+	2.30069i	0.147387	+	0.0850939i
$732$	3.56411	−	16.7602i	0.131733	−	0.619474i
$733$	18.7710	−	10.8375i	0.693324	−	0.400291i	−0.111532	−	0.993761i	$-0.535576\pi$
$733$	18.7710	−	10.8375i	0.693324	−	0.400291i	0.804856	+	0.593470i	$0.202242\pi$
$734$	−18.2806	+	2.89449i	−0.674749	+	0.106838i
$735$	7.65026	−	8.28710i	0.282184	−	0.305674i
$736$	28.0103	+	28.0232i	1.03247	+	1.03295i
$737$	10.4908	−	6.05686i	0.386433	−	0.223107i
$738$	−4.99639	+	13.0143i	−0.183920	+	0.479061i
$739$	−4.41640	+	7.64942i	−0.162460	+	0.281389i	−0.935750	−	0.352663i	$-0.885276\pi$
$739$	−4.41640	+	7.64942i	−0.162460	+	0.281389i	0.773291	+	0.634052i	$0.218609\pi$
$740$	4.21115	+	6.33809i	0.154805	+	0.232993i
$741$	6.92316			0.254329
$742$	−16.8066	+	14.0218i	−0.616989	+	0.514756i
$743$	10.8875			0.399425			0.199712	−	0.979855i	$-0.435999\pi$
$743$	10.8875			0.399425			0.199712	+	0.979855i	$0.435999\pi$
$744$	−3.53644	+	5.44399i	−0.129652	+	0.199586i
$745$	37.2150	+	36.4358i	1.36345	+	1.33491i
$746$	29.1099	+	11.1758i	1.06579	+	0.409174i
$747$	−0.975528	−	1.68966i	−0.0356927	−	0.0618216i
$748$	38.1075	−	12.3780i	1.39335	−	0.452584i
$749$	3.69271	+	2.06032i	0.134929	+	0.0752823i
$750$	6.40117	−	9.42462i	0.233738	−	0.344138i
$751$	−16.9728	+	9.79926i	−0.619347	+	0.357580i	−0.776615	−	0.629976i	$-0.783065\pi$
$751$	−16.9728	+	9.79926i	−0.619347	+	0.357580i	0.157268	+	0.987556i	$0.449731\pi$
$752$	−25.9290	+	2.72039i	−0.945533	+	0.0992025i
$753$	−12.4723	−	7.20086i	−0.454514	−	0.262414i
$754$	−9.51955	+	7.70805i	−0.346681	+	0.280711i
$755$	−5.53234	+	21.5566i	−0.201342	+	0.784525i
$756$	−19.7781	+	6.74679i	−0.719323	+	0.245378i
$757$	−29.5411			−1.07369			−0.536845	−	0.843681i	$-0.680384\pi$
$757$	−29.5411			−1.07369			−0.536845	+	0.843681i	$0.680384\pi$
$758$	20.7431	−	16.7958i	0.753422	−	0.610052i
$759$	9.87442	−	17.1030i	0.358419	−	0.620800i
$760$	7.11708	−	22.7081i	0.258164	−	0.823710i
$761$	19.6992	−	11.3734i	0.714097	−	0.412284i	−0.0984792	−	0.995139i	$-0.531398\pi$
$761$	19.6992	−	11.3734i	0.714097	−	0.412284i	0.812576	+	0.582855i	$0.198064\pi$
$762$	2.19374	+	13.8549i	0.0794708	+	0.501909i
$763$	0.608573	+	41.4557i	0.0220318	+	1.50080i
$764$	−11.0327	−	33.9657i	−0.399148	−	1.22884i
$765$	−7.64028	−	27.3531i	−0.276235	−	0.988954i
$766$	8.36083	−	21.7777i	0.302089	−	0.786860i
$767$	−15.1156	+	26.1809i	−0.545792	+	0.945339i
$768$	−11.2778	+	2.39280i	−0.406952	+	0.0863427i
$769$		−	49.3053i		−	1.77799i	−0.457913	−	0.888997i	$-0.651403\pi$
$769$		−	49.3053i		−	1.77799i	0.457913	−	0.888997i	$-0.348597\pi$
$770$	26.9633	+	18.5698i	0.971689	+	0.669210i
$771$	−0.744264			−0.0268040
$772$	30.6053	−	33.9843i	1.10151	−	1.22312i
$773$	−17.7806	−	10.2656i	−0.639522	−	0.369228i	0.144908	−	0.989445i	$-0.453711\pi$
$773$	−17.7806	−	10.2656i	−0.639522	−	0.369228i	−0.784430	+	0.620217i	$0.787045\pi$
$774$	1.13015	−	2.94372i	0.0406222	−	0.105810i
$775$	−0.336955	−	15.9231i	−0.0121038	−	0.571975i
$776$	−21.2240	−	41.6688i	−0.761897	−	1.49582i
$777$	−1.66297	−	2.78513i	−0.0596589	−	0.0999159i
$778$	−2.07232	+	0.328125i	−0.0742964	+	0.0117639i
$779$	7.47541	+	12.9478i	0.267834	+	0.463903i
$780$	7.37044	+	3.65859i	0.263904	+	0.130998i
$781$	−41.8094	−	24.1387i	−1.49606	−	0.863750i
$782$	39.4125	−	31.9126i	1.40939	−	1.14119i
$783$			13.3952i			0.478705i
$784$	22.1628	−	17.1117i	0.791528	−	0.611133i
$785$	−6.40375	+	24.9521i	−0.228560	+	0.890577i
$786$	−6.00390	−	7.41491i	−0.214152	−	0.264481i
$787$	−1.52258	+	2.63719i	−0.0542741	+	0.0940056i	−0.891886	−	0.452260i	$-0.850618\pi$
$787$	−1.52258	+	2.63719i	−0.0542741	+	0.0940056i	0.837612	+	0.546266i	$0.183951\pi$
$788$	−5.68626	+	26.7396i	−0.202565	+	0.952559i
$789$	2.39994	+	4.15682i	0.0854401	+	0.147987i
$790$	−32.1612	−	3.03816i	−1.14425	−	0.108093i
$791$	18.5745	−	11.0907i	0.660433	−	0.394339i
$792$	−12.4619	−	24.4663i	−0.442816	−	0.869373i
$793$	−26.2942	+	15.1810i	−0.933736	+	0.539093i
$794$	−13.6764	+	35.6232i	−0.485356	+	1.26422i
$795$	6.59368	−	6.73468i	0.233854	−	0.238855i
$796$	34.0359	+	30.6517i	1.20637	+	1.08642i
$797$			24.2059i			0.857418i	0.903443	+	0.428709i	$0.141031\pi$
$797$			24.2059i			0.857418i	−0.903443	+	0.428709i	$0.858969\pi$
$798$	−3.49646	+	9.52279i	−0.123773	+	0.337103i
$799$			33.3692i			1.18052i
$800$	19.5771	−	20.4141i	0.692156	−	0.721748i
$801$	−1.68688	−	0.973922i	−0.0596031	−	0.0344118i
$802$	12.4807	+	4.79154i	0.440708	+	0.169195i
$803$	−10.1486	−	17.5779i	−0.358137	−	0.620312i
$804$	1.37820	+	4.24300i	0.0486053	+	0.149639i
$805$	40.2835	+	9.71049i	1.41981	+	0.342250i
$806$	11.3615	−	1.79895i	0.400192	−	0.0633652i
$807$	2.70246	+	4.68081i	0.0951313	+	0.164772i
$808$	33.9781	+	1.78545i	1.19534	+	0.0628118i
$809$	7.22922	−	12.5214i	0.254166	−	0.440228i	−0.710503	−	0.703694i	$-0.751532\pi$
$809$	7.22922	−	12.5214i	0.254166	−	0.440228i	0.964669	+	0.263466i	$0.0848657\pi$
$810$	−13.2167	+	6.05203i	−0.464386	+	0.212647i
$811$			30.5466i			1.07264i	0.844016	+	0.536318i	$0.180185\pi$
$811$			30.5466i			1.07264i	−0.844016	+	0.536318i	$0.819815\pi$
$812$	−5.79466	−	16.9870i	−0.203353	−	0.596126i
$813$	1.55325			0.0544749
$814$	7.31808	−	5.92550i	0.256499	−	0.207689i
$815$	12.5460	+	12.2833i	0.439468	+	0.430267i
$816$	1.53970	+	14.6754i	0.0539002	+	0.513742i
$817$	−1.69088	−	2.92869i	−0.0591564	−	0.102462i
$818$	−29.7957	+	4.71777i	−1.04178	+	0.164953i
$819$	14.6364	+	8.16624i	0.511436	+	0.285351i
$820$	1.11603	+	17.7347i	0.0389735	+	0.619323i
$821$	4.87448	−	2.81428i	0.170120	−	0.0982191i	−0.412522	−	0.910948i	$-0.635352\pi$
$821$	4.87448	−	2.81428i	0.170120	−	0.0982191i	0.582643	+	0.812728i	$0.302019\pi$
$822$	6.80835	−	17.7339i	0.237468	−	0.618541i
$823$	−0.359886	+	0.623340i	−0.0125448	+	0.0217283i	−0.872230	−	0.489097i	$-0.837327\pi$
$823$	−0.359886	+	0.623340i	−0.0125448	+	0.0217283i	0.859685	+	0.510825i	$0.170660\pi$
$824$	−0.361992	−	0.235152i	−0.0126106	−	0.00819189i
$825$	−12.3555	−	6.78906i	−0.430164	−	0.236365i
$826$	−28.3779	−	34.0138i	−0.987392	−	1.18349i
$827$			54.5578i			1.89716i	0.316536	+	0.948580i	$0.397480\pi$
$827$			54.5578i			1.89716i	−0.316536	+	0.948580i	$0.602520\pi$
$828$	−25.8237	−	23.2561i	−0.897434	−	0.808204i
$829$	−7.08127	+	12.2651i	−0.245943	+	0.425985i	−0.962396	−	0.271650i	$-0.912431\pi$
$829$	−7.08127	+	12.2651i	−0.245943	+	0.425985i	0.716454	+	0.697635i	$0.245764\pi$
$830$	−2.02732	−	1.44055i	−0.0703692	−	0.0500023i
$831$	4.31283	+	7.47003i	0.149610	+	0.259133i
$832$	16.5235	+	12.0120i	0.572850	+	0.416443i
$833$	−18.8222	−	30.4970i	−0.652150	−	1.05666i
$834$	4.53870	−	0.718645i	0.157162	−	0.0248846i
$835$	−38.1336	+	10.6515i	−1.31967	+	0.368610i
$836$	−28.8033	−	6.12513i	−0.996184	−	0.211842i
$837$	6.28977	−	10.8942i	0.217406	−	0.376559i
$838$	−24.1060	−	29.7712i	−0.832728	−	1.02843i
$839$	56.3376			1.94499			0.972495	−	0.232923i	$-0.0748291\pi$
$839$	56.3376			1.94499			0.972495	+	0.232923i	$0.0748291\pi$
$840$	−8.75473	+	8.29030i	−0.302067	+	0.286042i
$841$	17.4952			0.603282
$842$	−9.66256	−	11.9334i	−0.332994	−	0.411252i
$843$	−1.10299	+	1.91043i	−0.0379888	+	0.0657986i
$844$	−1.58353	+	7.44654i	−0.0545074	+	0.256321i
$845$	3.89773	+	13.9543i	0.134086	+	0.480044i
$846$	22.5857	−	3.57615i	0.776513	−	0.122951i
$847$	5.55891	−	9.96325i	0.191006	−	0.342341i
$848$	18.9327	−	13.7500i	0.650151	−	0.472179i
$849$	−7.45939	−	12.9200i	−0.256006	−	0.443415i
$850$	−23.3712	−	27.6467i	−0.801626	−	0.948273i
$851$	5.95897	−	10.3212i	0.204271	−	0.353808i
$852$	11.8980	−	13.2116i	0.407619	−	0.452623i
$853$			17.4627i			0.597912i	0.954267	+	0.298956i	$0.0966384\pi$
$853$			17.4627i			0.597912i	−0.954267	+	0.298956i	$0.903362\pi$
$854$	−7.60181	−	43.8346i	−0.260129	−	1.49999i
$855$	−5.18863	+	20.2174i	−0.177447	+	0.691419i
$856$	−3.79092	−	2.46260i	−0.129571	−	0.0841699i
$857$	−15.2887	+	26.4809i	−0.522253	+	0.904569i	0.477412	+	0.878680i	$0.341575\pi$
$857$	−15.2887	+	26.4809i	−0.522253	+	0.904569i	−0.999665	+	0.0258890i	$0.991758\pi$
$858$	3.64941	−	9.50573i	0.124589	−	0.324520i
$859$	−9.81716	+	5.66794i	−0.334957	+	0.193388i	−0.658040	−	0.752983i	$-0.728614\pi$
$859$	−9.81716	+	5.66794i	−0.334957	+	0.193388i	0.323083	+	0.946371i	$0.395281\pi$
$860$	−0.252438	−	4.01145i	−0.00860806	−	0.136789i
$861$	−0.111189	−	7.57416i	−0.00378933	−	0.258127i
$862$	−2.32036	+	0.367399i	−0.0790319	+	0.0125137i
$863$	−23.1411	−	40.0815i	−0.787731	−	1.36439i	−0.927354	−	0.374186i	$-0.877922\pi$
$863$	−23.1411	−	40.0815i	−0.787731	−	1.36439i	0.139623	−	0.990205i	$-0.455411\pi$
$864$	21.5802	−	5.77704i	0.734172	−	0.196539i
$865$	−6.84609	−	6.70275i	−0.232774	−	0.227900i
$866$	33.8153	−	27.3805i	1.14909	−	0.930427i
$867$	6.63704			0.225406
$868$	−3.26355	+	16.5363i	−0.110772	+	0.561277i
$869$			39.9744i			1.35604i
$870$	3.21772	+	7.02699i	0.109091	+	0.238237i
$871$	3.95249	−	6.84591i	0.133925	−	0.231965i
$872$	2.32582	−	44.2617i	0.0787622	−	1.49889i
$873$	20.5077	+	35.5204i	0.694080	+	1.20218i
$874$	−36.8123	+	5.82875i	−1.24520	+	0.197161i
$875$	6.32197	−	28.8969i	0.213722	−	0.976895i
$876$	7.10938	−	2.30925i	0.240204	−	0.0780223i
$877$	−6.36155	−	11.0185i	−0.214814	−	0.372069i	0.738401	−	0.674362i	$-0.235581\pi$
$877$	−6.36155	−	11.0185i	−0.214814	−	0.372069i	−0.953215	+	0.302293i	$0.902248\pi$
$878$	−14.0904	−	5.40954i	−0.475527	−	0.182563i
$879$	19.0558	+	11.0019i	0.642737	+	0.371084i
$880$	−27.4273	−	21.7421i	−0.924576	−	0.732927i
$881$		−	12.0552i		−	0.406152i	−0.979163	−	0.203076i	$-0.934906\pi$
$881$		−	12.0552i		−	0.406152i	0.979163	−	0.203076i	$-0.0650938\pi$
$882$	−18.6246	+	16.0080i	−0.627122	+	0.539018i
$883$		−	3.49917i		−	0.117757i	−0.998265	−	0.0588783i	$-0.981248\pi$
$883$		−	3.49917i		−	0.117757i	0.998265	−	0.0588783i	$-0.0187524\pi$
$884$	17.4973	−	19.4291i	0.588497	−	0.653470i
$885$	13.6299	+	13.3445i	0.458165	+	0.448572i
$886$	6.14276	−	16.0002i	0.206370	−	0.537538i
$887$	41.9355	−	24.2115i	1.40806	−	0.812941i	0.412855	−	0.910797i	$-0.364532\pi$
$887$	41.9355	−	24.2115i	1.40806	−	0.812941i	0.995201	+	0.0978559i	$0.0311984\pi$
$888$	1.57392	+	3.09005i	0.0528172	+	0.103695i
$889$	18.6714	+	31.2706i	0.626218	+	1.04878i
$890$	−2.47191	−	0.233512i	−0.0828585	−	0.00782735i
$891$	8.99387	+	15.5778i	0.301306	+	0.521877i
$892$	29.6473	+	6.30459i	0.992664	+	0.211093i
$893$	12.2623	−	21.2389i	0.410341	−	0.710731i
$894$	14.9358	+	18.4459i	0.499528	+	0.616925i
$895$	−29.7288	−	7.62966i	−0.993723	−	0.255031i
$896$	−24.8675	+	16.6615i	−0.830766	+	0.556622i
$897$		−	12.8874i		−	0.430297i
$898$	35.2256	−	28.5224i	1.17549	−	0.951806i
$899$	9.35677	+	5.40214i	0.312066	+	0.180171i
$900$	−16.2078	+	18.7816i	−0.540260	+	0.626052i
$901$	−14.9744	−	25.9364i	−0.498868	−	0.864066i
$902$	21.7183	−	3.43880i	0.723139	−	0.114500i
$903$	0.0251502	+	1.71322i	0.000836946	+	0.0570122i
$904$	−20.6081	+	10.4967i	−0.685414	+	0.349116i
$905$	−5.65494	−	20.2453i	−0.187977	−	0.672978i
$906$	−3.63503	+	9.46826i	−0.120766	+	0.314562i
$907$	−22.7875	−	13.1563i	−0.756645	−	0.436849i	0.0714447	−	0.997445i	$-0.477239\pi$
$907$	−22.7875	−	13.1563i	−0.756645	−	0.436849i	−0.828090	+	0.560595i	$0.810572\pi$
$908$	17.6046	+	15.8542i	0.584228	+	0.526139i
$909$	−29.8432			−0.989836
$910$	21.2969	+	1.69685i	0.705987	+	0.0562501i
$911$			33.1244i			1.09746i	0.836000	+	0.548730i	$0.184889\pi$
$911$			33.1244i			1.09746i	−0.836000	+	0.548730i	$0.815111\pi$
$912$	4.41282	−	9.90642i	0.146123	−	0.328034i
$913$	−1.53874	+	2.66518i	−0.0509250	+	0.0882047i
$914$	3.39566	−	8.84477i	0.112318	−	0.292559i
$915$	5.15379	+	18.4512i	0.170379	+	0.609977i
$916$	0.922704	−	0.299710i	0.0304870	−	0.00990270i
$917$	−21.6324	−	12.0696i	−0.714366	−	0.398574i
$918$	−4.47169	−	28.2416i	−0.147588	−	0.932112i
$919$	−13.7579	+	7.94310i	−0.453830	+	0.262019i	−0.709446	−	0.704759i	$-0.751055\pi$
$919$	−13.7579	+	7.94310i	−0.453830	+	0.262019i	0.255616	+	0.966778i	$0.417722\pi$
$920$	−42.2709	−	13.2484i	−1.39363	−	0.436785i
$921$	−2.57766	+	4.46464i	−0.0849368	+	0.147115i
$922$	−17.0105	+	13.7735i	−0.560210	+	0.453606i
$923$	−31.5041			−1.03697
$924$	11.2320	+	9.82051i	0.369506	+	0.323071i
$925$	−7.45626	−	4.09703i	−0.245160	−	0.134710i
$926$	16.3453	−	13.2349i	0.537141	−	0.434927i
$927$	0.327887	+	0.189306i	0.0107692	+	0.00621762i
$928$	4.96176	+	18.5347i	0.162878	+	0.608432i
$929$	11.4594	−	6.61609i	0.375971	−	0.217067i	−0.300093	−	0.953910i	$-0.597018\pi$
$929$	11.4594	−	6.61609i	0.375971	−	0.217067i	0.676064	+	0.736843i	$0.263684\pi$
$930$	0.682604	−	7.22588i	0.0223835	−	0.236946i
$931$	0.773145	+	26.3274i	0.0253388	+	0.862847i
$932$	16.2781	+	50.1146i	0.533206	+	1.64156i
$933$	−3.31940	−	5.74936i	−0.108672	−	0.188226i
$934$	−0.117023	−	0.0449272i	−0.00382911	−	0.00147006i
$935$	−31.3392	+	32.0094i	−1.02490	+	1.04682i
$936$	−15.0256	−	9.76072i	−0.491128	−	0.319039i
$937$	−11.6731			−0.381345			−0.190672	−	0.981654i	$-0.561067\pi$
$937$	−11.6731			−0.381345			−0.190672	+	0.981654i	$0.561067\pi$
$938$	7.42038	+	8.89409i	0.242284	+	0.290402i
$939$	7.42756			0.242389
$940$	24.2783	−	16.1309i	0.791870	−	0.526134i
$941$	25.6649	−	44.4529i	0.836652	−	1.44912i	−0.0560269	−	0.998429i	$-0.517843\pi$
$941$	25.6649	−	44.4529i	0.836652	−	1.44912i	0.892679	−	0.450694i	$-0.148823\pi$
$942$	−4.20759	+	10.9596i	−0.137091	+	0.357084i
$943$	24.1021	−	13.9154i	0.784874	−	0.453147i
$944$	27.8279	+	38.3167i	0.905721	+	1.24710i
$945$	16.0982	−	16.9327i	0.523674	−	0.550819i
$946$	−4.91250	+	0.777830i	−0.159719	+	0.0252894i
$947$	16.0314	−	9.25574i	0.520951	−	0.300771i	−0.216373	−	0.976311i	$-0.569423\pi$
$947$	16.0314	−	9.25574i	0.520951	−	0.300771i	0.737324	+	0.675540i	$0.236089\pi$
$948$	−14.3997	−	3.06214i	−0.467680	−	0.0994536i
$949$	−11.4707	−	6.62262i	−0.372355	−	0.214979i
$950$	4.71595	+	26.1849i	0.153006	+	0.849550i
$951$	−24.1050			−0.781657
$952$	17.8878	+	33.8799i	0.579748	+	1.09805i
$953$			3.91838i			0.126929i	0.997984	+	0.0634643i	$0.0202149\pi$
$953$			3.91838i			0.126929i	−0.997984	+	0.0634643i	$0.979785\pi$
$954$	−15.9501	+	12.9149i	−0.516403	+	0.418135i
$955$	28.5304	+	27.9330i	0.923222	+	0.903892i
$956$	3.49002	+	0.742165i	0.112875	+	0.0240033i
$957$	8.28237	−	4.78183i	0.267731	−	0.154575i
$958$	−1.93268	−	12.2061i	−0.0624422	−	0.394362i
$959$	−0.723955	−	49.3154i	−0.0233777	−	1.59248i
$960$	9.93302	−	8.21445i	0.320587	−	0.265120i
$961$	10.4268	+	18.0598i	0.336349	+	0.582573i
$962$	2.20233	−	5.73648i	0.0710060	−	0.184951i
$963$	3.43377	+	1.98249i	0.110652	+	0.0638847i
$964$	−11.2791	+	12.5244i	−0.363277	+	0.403385i
$965$	−12.7108	+	49.5273i	−0.409175	+	1.59434i
$966$	17.7266	+	6.50862i	0.570343	+	0.209411i
$967$	−25.1423			−0.808522			−0.404261	−	0.914644i	$-0.632471\pi$
$967$	−25.1423			−0.808522			−0.404261	+	0.914644i	$0.632471\pi$
$968$	−6.64431	+	10.2282i	−0.213556	+	0.328748i
$969$	−12.0209	−	6.94024i	−0.386165	−	0.222953i
$970$	42.6185	+	30.2835i	1.36840	+	0.972345i
$971$	−4.10368	+	2.36926i	−0.131693	+	0.0760332i	−0.564399	−	0.825502i	$-0.690892\pi$
$971$	−4.10368	+	2.36926i	−0.131693	+	0.0760332i	0.432706	+	0.901535i	$0.357559\pi$
$972$	−28.8366	+	9.36663i	−0.924934	+	0.300435i
$973$	10.2439	−	6.11654i	0.328404	−	0.196087i
$974$	−3.80700	−	24.0436i	−0.121984	−	0.770408i
$975$	−9.19771	+	0.194636i	−0.294563	+	0.00623335i
$976$	4.96268	+	47.3010i	0.158852	+	1.51407i
$977$	−3.73355	−	2.15557i	−0.119447	−	0.0689628i	0.439086	−	0.898445i	$-0.355302\pi$
$977$	−3.73355	−	2.15557i	−0.119447	−	0.0689628i	−0.558533	+	0.829482i	$0.688636\pi$
$978$	5.03520	+	6.21854i	0.161008	+	0.198847i
$979$			3.07242i			0.0981950i
$980$	−13.0898	+	28.4369i	−0.418138	+	0.908384i
$981$			38.8754i			1.24119i
$982$	−16.5796	+	13.4247i	−0.529078	+	0.428398i
$983$	−44.5474	−	25.7195i	−1.42084	−	0.820324i	−0.424472	−	0.905441i	$-0.639540\pi$
$983$	−44.5474	−	25.7195i	−1.42084	−	0.820324i	−0.996371	+	0.0851174i	$0.972873\pi$
$984$	−0.424939	+	8.08683i	−0.0135466	+	0.257799i
$985$	−8.22249	−	29.4375i	−0.261990	−	0.937956i
$986$	24.2561	−	3.84063i	0.772471	−	0.122311i
$987$	−10.6685	+	6.37007i	−0.339583	+	0.202762i
$988$	−18.2763	+	5.93647i	−0.581448	+	0.188864i
$989$	−5.45172	+	3.14755i	−0.173355	+	0.100086i
$990$	25.0240	+	17.7813i	0.795315	+	0.565128i
$991$	15.3827	+	8.88120i	0.488647	+	0.282120i	0.724013	−	0.689786i	$-0.242296\pi$
$991$	15.3827	+	8.88120i	0.488647	+	0.282120i	−0.235366	+	0.971907i	$0.575629\pi$
$992$	4.66769	−	17.4039i	0.148199	−	0.552575i
$993$	−0.188619			−0.00598565
$994$	15.9108	−	43.3338i	0.504659	−	1.37446i
$995$	−49.6025	−	12.7301i	−1.57250	−	0.403571i
$996$	−0.842188	−	0.758450i	−0.0266857	−	0.0240324i
$997$	−24.1923	−	13.9674i	−0.766177	−	0.442353i	0.0653318	−	0.997864i	$-0.479189\pi$
$997$	−24.1923	−	13.9674i	−0.766177	−	0.442353i	−0.831509	+	0.555511i	$0.812523\pi$
$998$	−34.2657	−	13.1552i	−1.08466	−	0.416420i
$999$	−3.35987	−	5.81947i	−0.106302	−	0.184120i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.59.31	yes	80
4.3	odd	2		1120.2.bq.b.1039.24		80
5.4	even	2	inner	280.2.ba.b.59.10	yes	80
7.5	odd	6	inner	280.2.ba.b.19.5	✓	80
8.3	odd	2	inner	280.2.ba.b.59.36	yes	80
8.5	even	2		1120.2.bq.b.1039.23		80
20.19	odd	2		1120.2.bq.b.1039.18		80
28.19	even	6		1120.2.bq.b.719.17		80
35.19	odd	6	inner	280.2.ba.b.19.36	yes	80
40.19	odd	2	inner	280.2.ba.b.59.5	yes	80
40.29	even	2		1120.2.bq.b.1039.17		80
56.5	odd	6		1120.2.bq.b.719.18		80
56.19	even	6	inner	280.2.ba.b.19.10	yes	80
140.19	even	6		1120.2.bq.b.719.23		80
280.19	even	6	inner	280.2.ba.b.19.31	yes	80
280.229	odd	6		1120.2.bq.b.719.24		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.5	✓	80	7.5	odd	6	inner
280.2.ba.b.19.10	yes	80	56.19	even	6	inner
280.2.ba.b.19.31	yes	80	280.19	even	6	inner
280.2.ba.b.19.36	yes	80	35.19	odd	6	inner
280.2.ba.b.59.5	yes	80	40.19	odd	2	inner
280.2.ba.b.59.10	yes	80	5.4	even	2	inner
280.2.ba.b.59.31	yes	80	1.1	even	1	trivial
280.2.ba.b.59.36	yes	80	8.3	odd	2	inner
1120.2.bq.b.719.17		80	28.19	even	6
1120.2.bq.b.719.18		80	56.5	odd	6
1120.2.bq.b.719.23		80	140.19	even	6
1120.2.bq.b.719.24		80	280.229	odd	6
1120.2.bq.b.1039.17		80	40.29	even	2
1120.2.bq.b.1039.18		80	20.19	odd	2
1120.2.bq.b.1039.23		80	8.5	even	2
1120.2.bq.b.1039.24		80	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.ba (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.09909 - 0.889943i) q^{2} +(-0.360276 + 0.624015i) q^{3} +(0.416004 - 1.95626i) q^{4} +(0.601554 + 2.15363i) q^{5} +(0.159362 + 1.00647i) q^{6} +(1.35637 + 2.27162i) q^{7} +(-1.28373 - 2.52033i) q^{8} +(1.24040 + 2.14844i) q^{9} +O(q^{10})\)	\(q+(1.09909 - 0.889943i) q^{2} +(-0.360276 + 0.624015i) q^{3} +(0.416004 - 1.95626i) q^{4} +(0.601554 + 2.15363i) q^{5} +(0.159362 + 1.00647i) q^{6} +(1.35637 + 2.27162i) q^{7} +(-1.28373 - 2.52033i) q^{8} +(1.24040 + 2.14844i) q^{9} +(2.57777 + 1.83169i) q^{10} +(1.95654 - 3.38883i) q^{11} +(1.07086 + 0.964385i) q^{12} -2.55354i q^{13} +(3.51238 + 1.28963i) q^{14} +(-1.56063 - 0.400522i) q^{15} +(-3.65388 - 1.62762i) q^{16} +(-2.55984 + 4.43377i) q^{17} +(3.27531 + 1.25745i) q^{18} +(3.25858 - 1.88134i) q^{19} +(4.46331 - 0.280873i) q^{20} +(-1.90619 + 0.0279831i) q^{21} +(-0.865446 - 5.46585i) q^{22} +(-3.50209 - 6.06580i) q^{23} +(2.03522 + 0.106945i) q^{24} +(-4.27627 + 2.59105i) q^{25} +(-2.27250 - 2.80657i) q^{26} -3.94920 q^{27} +(5.00813 - 1.70839i) q^{28} -3.39188i q^{29} +(-2.07171 + 0.948656i) q^{30} +(-1.59267 + 2.75858i) q^{31} +(-5.46444 + 1.46284i) q^{32} +(1.40979 + 2.44183i) q^{33} +(1.13230 + 7.15122i) q^{34} +(-4.07631 + 4.28762i) q^{35} +(4.71892 - 1.53279i) q^{36} +(0.850773 + 1.47358i) q^{37} +(1.90719 - 4.96771i) q^{38} +(1.59345 + 0.919977i) q^{39} +(4.65562 - 4.28079i) q^{40} +3.97345i q^{41} +(-2.07018 + 1.72716i) q^{42} -0.898763i q^{43} +(-5.81549 - 5.23727i) q^{44} +(-3.88078 + 3.96378i) q^{45} +(-9.24734 - 3.55021i) q^{46} +(5.64460 - 3.25891i) q^{47} +(2.33207 - 1.69369i) q^{48} +(-3.32054 + 6.16230i) q^{49} +(-2.39412 + 6.65343i) q^{50} +(-1.84449 - 3.19476i) q^{51} +(-4.99538 - 1.06228i) q^{52} +(-2.92487 + 5.06602i) q^{53} +(-4.34053 + 3.51456i) q^{54} +(8.47526 + 2.17511i) q^{55} +(3.98402 - 6.33463i) q^{56} +2.71120i q^{57} +(-3.01858 - 3.72798i) q^{58} +(-10.2528 - 5.91946i) q^{59} +(-1.43275 + 2.88636i) q^{60} +(-5.94508 - 10.2972i) q^{61} +(0.704492 + 4.44932i) q^{62} +(-3.19801 + 5.73180i) q^{63} +(-4.70408 + 6.47083i) q^{64} +(5.49938 - 1.53609i) q^{65} +(3.72257 + 1.42916i) q^{66} +(2.68095 + 1.54785i) q^{67} +(7.60868 + 6.85216i) q^{68} +5.04687 q^{69} +(-0.664510 + 8.34017i) q^{70} -12.3374i q^{71} +(3.82243 - 5.88424i) q^{72} +(2.59351 - 4.49209i) q^{73} +(2.24648 + 0.862463i) q^{74} +(-0.0762221 - 3.60195i) q^{75} +(-2.32480 - 7.15726i) q^{76} +(10.3519 - 0.151968i) q^{77} +(2.57007 - 0.406937i) q^{78} +(-8.84693 + 5.10778i) q^{79} +(1.30730 - 8.84822i) q^{80} +(-2.29841 + 3.98096i) q^{81} +(3.53614 + 4.36718i) q^{82} -0.786461 q^{83} +(-0.738243 + 3.74064i) q^{84} +(-11.0886 - 2.84580i) q^{85} +(-0.799847 - 0.987822i) q^{86} +(2.11658 + 1.22201i) q^{87} +(-11.0526 - 0.580783i) q^{88} +(-0.679974 + 0.392583i) q^{89} +(-0.737804 + 7.81023i) q^{90} +(5.80068 - 3.46353i) q^{91} +(-13.3232 + 4.32759i) q^{92} +(-1.14760 - 1.98770i) q^{93} +(3.30369 - 8.60522i) q^{94} +(6.01193 + 5.88605i) q^{95} +(1.05587 - 3.93692i) q^{96} +16.5331 q^{97} +(1.83452 + 9.72803i) q^{98} +9.70761 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) 80 * q + 6 * q^4 - 52 * q^9	\( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

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