LMFDB - Embedded newform 210.3.p.a.19.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,3,Mod(19,210)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(210, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 5]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("210.19");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	210.p (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:	$5.72208555157$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			19.13
Character	$\chi$	$=$	210.19
Dual form			210.3.p.a.199.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.22474 + 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-4.43317 + 2.31236i) q^{5} +2.44949i q^{6} +(-5.88548 + 3.78961i) q^{7} +2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +O(q^{10})$	\(q+(1.22474 + 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-4.43317 + 2.31236i) q^{5} +2.44949i q^{6} +(-5.88548 + 3.78961i) q^{7} +2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +(-7.06459 - 0.302672i) q^{10} +(-0.746012 - 1.29213i) q^{11} +(-1.73205 + 3.00000i) q^{12} -4.37328 q^{13} +(-9.88787 + 0.479637i) q^{14} +(-7.30778 - 4.64719i) q^{15} +(-2.00000 + 3.46410i) q^{16} +(7.58778 + 13.1424i) q^{17} +(-3.67423 + 2.12132i) q^{18} +(-0.814057 - 0.469996i) q^{19} +(-8.43830 - 5.36611i) q^{20} +(-10.7814 - 5.54633i) q^{21} -2.11004i q^{22} +(33.3662 + 19.2640i) q^{23} +(-4.24264 + 2.44949i) q^{24} +(14.3060 - 20.5022i) q^{25} +(-5.35615 - 3.09238i) q^{26} -5.19615 q^{27} +(-12.4493 - 6.40435i) q^{28} +4.01067 q^{29} +(-5.66410 - 10.8590i) q^{30} +(-12.0346 + 6.94821i) q^{31} +(-4.89898 + 2.82843i) q^{32} +(1.29213 - 2.23803i) q^{33} +21.4615i q^{34} +(17.3284 - 30.4093i) q^{35} -6.00000 q^{36} +(22.7450 + 13.1318i) q^{37} +(-0.664675 - 1.15125i) q^{38} +(-3.78737 - 6.55992i) q^{39} +(-6.54034 - 12.5389i) q^{40} +29.2445i q^{41} +(-9.28260 - 14.4164i) q^{42} -30.8982i q^{43} +(1.49202 - 2.58426i) q^{44} +(0.642064 - 14.9863i) q^{45} +(27.2434 + 47.1870i) q^{46} +(-41.6628 + 72.1620i) q^{47} -6.92820 q^{48} +(20.2778 - 44.6073i) q^{49} +(32.0184 - 14.9941i) q^{50} +(-13.1424 + 22.7633i) q^{51} +(-4.37328 - 7.57474i) q^{52} +(32.8910 - 18.9897i) q^{53} +(-6.36396 - 3.67423i) q^{54} +(6.29507 + 4.00318i) q^{55} +(-10.7186 - 16.6467i) q^{56} -1.62811i q^{57} +(4.91204 + 2.83597i) q^{58} +(72.0209 - 41.5813i) q^{59} +(0.741391 - 17.3046i) q^{60} +(24.5841 + 14.1936i) q^{61} -19.6525 q^{62} +(-1.01746 - 20.9753i) q^{63} -8.00000 q^{64} +(19.3875 - 10.1126i) q^{65} +(3.16506 - 1.82735i) q^{66} +(-63.4061 + 36.6075i) q^{67} +(-15.1756 + 26.2848i) q^{68} +66.7325i q^{69} +(42.7255 - 24.9906i) q^{70} +83.1231 q^{71} +(-7.34847 - 4.24264i) q^{72} +(-66.4896 - 115.163i) q^{73} +(18.5712 + 32.1663i) q^{74} +(43.1426 + 3.70356i) q^{75} -1.87998i q^{76} +(9.28730 + 4.77772i) q^{77} -10.7123i q^{78} +(26.8577 - 46.5189i) q^{79} +(0.856085 - 19.9817i) q^{80} +(-4.50000 - 7.79423i) q^{81} +(-20.6790 + 35.8170i) q^{82} +77.1725 q^{83} +(-1.17487 - 24.2202i) q^{84} +(-64.0279 - 40.7169i) q^{85} +(21.8483 - 37.8424i) q^{86} +(3.47334 + 6.01600i) q^{87} +(3.65470 - 2.11004i) q^{88} +(41.9236 + 24.2046i) q^{89} +(11.3832 - 17.9003i) q^{90} +(25.7389 - 16.5730i) q^{91} +77.0560i q^{92} +(-20.8446 - 12.0346i) q^{93} +(-102.053 + 58.9201i) q^{94} +(4.69565 + 0.201178i) q^{95} +(-8.48528 - 4.89898i) q^{96} -37.5290 q^{97} +(56.3772 - 40.2940i) q^{98} +4.47607 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9}+O(q^{10}) $ 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9	$ 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9} - 24 q^{10} + 48 q^{11} - 16 q^{14} + 24 q^{15} - 64 q^{16} + 48 q^{19} - 24 q^{21} + 72 q^{25} + 96 q^{26} + 176 q^{29} - 24 q^{30} - 48 q^{31} + 68 q^{35} - 192 q^{36} - 72 q^{39} - 48 q^{40} - 96 q^{44} - 36 q^{45} + 32 q^{46} - 272 q^{49} + 192 q^{50} - 24 q^{51} - 64 q^{56} + 744 q^{59} + 24 q^{60} - 672 q^{61} - 256 q^{64} + 172 q^{65} + 320 q^{70} - 144 q^{71} - 416 q^{74} - 144 q^{75} + 128 q^{79} - 48 q^{80} - 144 q^{81} - 96 q^{84} - 736 q^{85} + 304 q^{86} - 48 q^{89} + 976 q^{91} + 528 q^{94} + 236 q^{95} - 288 q^{99}+O(q^{100}) $ 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9 - 24 * q^10 + 48 * q^11 - 16 * q^14 + 24 * q^15 - 64 * q^16 + 48 * q^19 - 24 * q^21 + 72 * q^25 + 96 * q^26 + 176 * q^29 - 24 * q^30 - 48 * q^31 + 68 * q^35 - 192 * q^36 - 72 * q^39 - 48 * q^40 - 96 * q^44 - 36 * q^45 + 32 * q^46 - 272 * q^49 + 192 * q^50 - 24 * q^51 - 64 * q^56 + 744 * q^59 + 24 * q^60 - 672 * q^61 - 256 * q^64 + 172 * q^65 + 320 * q^70 - 144 * q^71 - 416 * q^74 - 144 * q^75 + 128 * q^79 - 48 * q^80 - 144 * q^81 - 96 * q^84 - 736 * q^85 + 304 * q^86 - 48 * q^89 + 976 * q^91 + 528 * q^94 + 236 * q^95 - 288 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$

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 $

$2$	1.22474	+	0.707107i	0.612372	+	0.353553i
$2$	1.22474	+	0.707107i	0.612372	+	0.353553i
$3$	0.866025	+	1.50000i	0.288675	+	0.500000i
$3$	0.866025	+	1.50000i	0.288675	+	0.500000i
$4$	1.00000	+	1.73205i	0.250000	+	0.433013i
$5$	−4.43317	+	2.31236i	−0.886634	+	0.462472i
$5$	−4.43317	+	2.31236i	−0.886634	+	0.462472i
$6$			2.44949i			0.408248i
$7$	−5.88548	+	3.78961i	−0.840783	+	0.541372i
$7$	−5.88548	+	3.78961i	−0.840783	+	0.541372i
$8$			2.82843i			0.353553i
$9$	−1.50000	+	2.59808i	−0.166667	+	0.288675i
$10$	−7.06459	−	0.302672i	−0.706459	−	0.0302672i
$11$	−0.746012	−	1.29213i	−0.0678192	−	0.117466i	0.830122	−	0.557582i	$-0.188271\pi$
$11$	−0.746012	−	1.29213i	−0.0678192	−	0.117466i	−0.897941	+	0.440116i	$0.854937\pi$
$12$	−1.73205	+	3.00000i	−0.144338	+	0.250000i
$13$	−4.37328			−0.336406			−0.168203	−	0.985752i	$-0.553796\pi$
$13$	−4.37328			−0.336406			−0.168203	+	0.985752i	$0.553796\pi$
$14$	−9.88787	+	0.479637i	−0.706276	+	0.0342598i
$15$	−7.30778	−	4.64719i	−0.487185	−	0.309813i
$16$	−2.00000	+	3.46410i	−0.125000	+	0.216506i
$17$	7.58778	+	13.1424i	0.446340	+	0.773083i	0.998144	−	0.0608902i	$-0.0193940\pi$
$17$	7.58778	+	13.1424i	0.446340	+	0.773083i	−0.551805	+	0.833973i	$0.686061\pi$
$18$	−3.67423	+	2.12132i	−0.204124	+	0.117851i
$19$	−0.814057	−	0.469996i	−0.0428451	−	0.0247366i	0.478424	−	0.878129i	$-0.341208\pi$
$19$	−0.814057	−	0.469996i	−0.0428451	−	0.0247366i	−0.521270	+	0.853392i	$0.674541\pi$
$20$	−8.43830	−	5.36611i	−0.421915	−	0.268306i
$21$	−10.7814	−	5.54633i	−0.513399	−	0.264111i
$22$		−	2.11004i		−	0.0959109i
$23$	33.3662	+	19.2640i	1.45071	+	0.837566i	0.998521	−	0.0543585i	$-0.0173114\pi$
$23$	33.3662	+	19.2640i	1.45071	+	0.837566i	0.452185	+	0.891924i	$0.350645\pi$
$24$	−4.24264	+	2.44949i	−0.176777	+	0.102062i
$25$	14.3060	−	20.5022i	0.572239	−	0.820087i
$26$	−5.35615	−	3.09238i	−0.206006	−	0.118938i
$27$	−5.19615			−0.192450
$28$	−12.4493	−	6.40435i	−0.444617	−	0.228727i
$29$	4.01067			0.138299			0.0691494	−	0.997606i	$-0.477971\pi$
$29$	4.01067			0.138299			0.0691494	+	0.997606i	$0.477971\pi$
$30$	−5.66410	−	10.8590i	−0.188803	−	0.361967i
$31$	−12.0346	+	6.94821i	−0.388214	+	0.224136i	−0.681386	−	0.731924i	$-0.738623\pi$
$31$	−12.0346	+	6.94821i	−0.388214	+	0.224136i	0.293172	+	0.956060i	$0.405289\pi$
$32$	−4.89898	+	2.82843i	−0.153093	+	0.0883883i
$33$	1.29213	−	2.23803i	0.0391555	−	0.0678192i
$34$			21.4615i			0.631220i
$35$	17.3284	−	30.4093i	0.495097	−	0.868838i
$36$	−6.00000			−0.166667
$37$	22.7450	+	13.1318i	0.614729	+	0.354914i	0.774814	−	0.632189i	$-0.217843\pi$
$37$	22.7450	+	13.1318i	0.614729	+	0.354914i	−0.160085	+	0.987103i	$0.551177\pi$
$38$	−0.664675	−	1.15125i	−0.0174914	−	0.0302961i
$39$	−3.78737	−	6.55992i	−0.0971121	−	0.168203i
$40$	−6.54034	−	12.5389i	−0.163509	−	0.313472i
$41$			29.2445i			0.713280i	0.934242	+	0.356640i	$0.116078\pi$
$41$			29.2445i			0.713280i	−0.934242	+	0.356640i	$0.883922\pi$
$42$	−9.28260	−	14.4164i	−0.221014	−	0.343248i
$43$		−	30.8982i		−	0.718562i	−0.933229	−	0.359281i	$-0.883022\pi$
$43$		−	30.8982i		−	0.718562i	0.933229	−	0.359281i	$-0.116978\pi$
$44$	1.49202	−	2.58426i	0.0339096	−	0.0587332i
$45$	0.642064	−	14.9863i	0.0142681	−	0.333028i
$46$	27.2434	+	47.1870i	0.592248	+	1.02580i
$47$	−41.6628	+	72.1620i	−0.886442	+	1.53536i	−0.0423901	+	0.999101i	$0.513497\pi$
$47$	−41.6628	+	72.1620i	−0.886442	+	1.53536i	−0.844052	+	0.536261i	$0.819836\pi$
$48$	−6.92820			−0.144338
$49$	20.2778	−	44.6073i	0.413832	−	0.910353i
$50$	32.0184	−	14.9941i	0.640368	−	0.299882i
$51$	−13.1424	+	22.7633i	−0.257694	+	0.446340i
$52$	−4.37328	−	7.57474i	−0.0841015	−	0.145668i
$53$	32.8910	−	18.9897i	0.620586	−	0.358295i	−0.156511	−	0.987676i	$-0.550025\pi$
$53$	32.8910	−	18.9897i	0.620586	−	0.358295i	0.777097	+	0.629381i	$0.216691\pi$
$54$	−6.36396	−	3.67423i	−0.117851	−	0.0680414i
$55$	6.29507	+	4.00318i	0.114456	+	0.0727851i
$56$	−10.7186	−	16.6467i	−0.191404	−	0.297262i
$57$		−	1.62811i		−	0.0285634i
$58$	4.91204	+	2.83597i	0.0846904	+	0.0488960i
$59$	72.0209	−	41.5813i	1.22069	−	0.704768i	0.255628	−	0.966775i	$-0.417718\pi$
$59$	72.0209	−	41.5813i	1.22069	−	0.704768i	0.965066	+	0.262008i	$0.0843845\pi$
$60$	0.741391	−	17.3046i	0.0123565	−	0.288411i
$61$	24.5841	+	14.1936i	0.403018	+	0.232683i	0.687785	−	0.725914i	$-0.258583\pi$
$61$	24.5841	+	14.1936i	0.403018	+	0.232683i	−0.284767	+	0.958597i	$0.591916\pi$
$62$	−19.6525			−0.316976
$63$	−1.01746	−	20.9753i	−0.0161502	−	0.332942i
$64$	−8.00000			−0.125000
$65$	19.3875	−	10.1126i	0.298269	−	0.155578i
$66$	3.16506	−	1.82735i	0.0479554	−	0.0276871i
$67$	−63.4061	+	36.6075i	−0.946360	+	0.546381i	−0.891948	−	0.452138i	$-0.850662\pi$
$67$	−63.4061	+	36.6075i	−0.946360	+	0.546381i	−0.0544115	+	0.998519i	$0.517328\pi$
$68$	−15.1756	+	26.2848i	−0.223170	+	0.386542i
$69$			66.7325i			0.967138i
$70$	42.7255	−	24.9906i	0.610364	−	0.357009i
$71$	83.1231			1.17075			0.585374	−	0.810763i	$-0.300948\pi$
$71$	83.1231			1.17075			0.585374	+	0.810763i	$0.300948\pi$
$72$	−7.34847	−	4.24264i	−0.102062	−	0.0589256i
$73$	−66.4896	−	115.163i	−0.910816	−	1.57758i	−0.812914	−	0.582383i	$-0.802120\pi$
$73$	−66.4896	−	115.163i	−0.910816	−	1.57758i	−0.0979013	−	0.995196i	$-0.531213\pi$
$74$	18.5712	+	32.1663i	0.250962	+	0.434679i
$75$	43.1426	+	3.70356i	0.575235	+	0.0493808i
$76$		−	1.87998i		−	0.0247366i
$77$	9.28730	+	4.77772i	0.120614	+	0.0620483i
$78$		−	10.7123i		−	0.137337i
$79$	26.8577	−	46.5189i	0.339971	−	0.588846i	−0.644456	−	0.764641i	$-0.722916\pi$
$79$	26.8577	−	46.5189i	0.339971	−	0.588846i	0.984427	+	0.175795i	$0.0562495\pi$
$80$	0.856085	−	19.9817i	0.0107011	−	0.249771i
$81$	−4.50000	−	7.79423i	−0.0555556	−	0.0962250i
$82$	−20.6790	+	35.8170i	−0.252183	+	0.436793i
$83$	77.1725			0.929789			0.464895	−	0.885366i	$-0.346092\pi$
$83$	77.1725			0.929789			0.464895	+	0.885366i	$0.346092\pi$
$84$	−1.17487	−	24.2202i	−0.0139865	−	0.288336i
$85$	−64.0279	−	40.7169i	−0.753269	−	0.479022i
$86$	21.8483	−	37.8424i	0.254050	−	0.440028i
$87$	3.47334	+	6.01600i	0.0399234	+	0.0691494i
$88$	3.65470	−	2.11004i	0.0415306	−	0.0239777i
$89$	41.9236	+	24.2046i	0.471052	+	0.271962i	0.716680	−	0.697402i	$-0.245661\pi$
$89$	41.9236	+	24.2046i	0.471052	+	0.271962i	−0.245628	+	0.969364i	$0.578994\pi$
$90$	11.3832	−	17.9003i	0.126480	−	0.198893i
$91$	25.7389	−	16.5730i	0.282845	−	0.182121i
$92$			77.0560i			0.837566i
$93$	−20.8446	−	12.0346i	−0.224136	−	0.129405i
$94$	−102.053	+	58.9201i	−1.08567	+	0.626809i
$95$	4.69565	+	0.201178i	0.0494279	+	0.00211767i
$96$	−8.48528	−	4.89898i	−0.0883883	−	0.0510310i
$97$	−37.5290			−0.386897			−0.193448	−	0.981110i	$-0.561967\pi$
$97$	−37.5290			−0.386897			−0.193448	+	0.981110i	$0.561967\pi$
$98$	56.3772	−	40.2940i	0.575278	−	0.411163i
$99$	4.47607			0.0452128
$100$	49.8168	+	4.27650i	0.498168	+	0.0427650i
$101$	−102.414	+	59.1286i	−1.01400	+	0.585432i	−0.912360	−	0.409390i	$-0.865742\pi$
$101$	−102.414	+	59.1286i	−1.01400	+	0.585432i	−0.101638	+	0.994821i	$0.532408\pi$
$102$	−32.1922	+	18.5862i	−0.315610	+	0.182217i
$103$	−80.7114	+	139.796i	−0.783606	+	1.35724i	0.146223	+	0.989252i	$0.453288\pi$
$103$	−80.7114	+	139.796i	−0.783606	+	1.35724i	−0.929829	+	0.367993i	$0.880045\pi$
$104$		−	12.3695i		−	0.118938i
$105$	60.6208	−	0.342649i	0.577341	−	0.00326332i
$106$	53.7108			0.506706
$107$	105.386	+	60.8447i	0.984916	+	0.568642i	0.903751	−	0.428059i	$-0.140802\pi$
$107$	105.386	+	60.8447i	0.984916	+	0.568642i	0.0811655	+	0.996701i	$0.474136\pi$
$108$	−5.19615	−	9.00000i	−0.0481125	−	0.0833333i
$109$	−55.1562	−	95.5334i	−0.506021	−	0.876453i	−0.999976	−	0.00696598i	$-0.997783\pi$
$109$	−55.1562	−	95.5334i	−0.506021	−	0.876453i	0.493955	−	0.869487i	$-0.335551\pi$
$110$	4.87917	+	9.35416i	0.0443561	+	0.0850378i
$111$			45.4900i			0.409820i
$112$	−1.35662	−	27.9671i	−0.0121127	−	0.249706i
$113$		−	211.145i		−	1.86854i	−0.356571	−	0.934268i	$-0.616054\pi$
$113$		−	211.145i		−	1.86854i	0.356571	−	0.934268i	$-0.383946\pi$
$114$	1.15125	−	1.99402i	0.0100987	−	0.0174914i
$115$	−192.464	−	8.24581i	−1.67360	−	0.0717027i
$116$	4.01067	+	6.94668i	0.0345747	+	0.0598851i
$117$	6.55992	−	11.3621i	0.0560677	−	0.0971121i
$118$	117.610			0.996692
$119$	−94.4623	−	48.5947i	−0.793801	−	0.408359i
$120$	13.1442	−	20.6695i	0.109535	−	0.172246i
$121$	59.3869	−	102.861i	0.490801	−	0.850092i
$122$	20.0728	+	34.7672i	0.164532	+	0.284977i
$123$	−43.8667	+	25.3265i	−0.356640	+	0.205906i
$124$	−24.0693	−	13.8964i	−0.194107	−	0.112068i
$125$	−16.0124	+	123.970i	−0.128099	+	0.991761i
$126$	13.5857	−	26.4089i	0.107823	−	0.209594i
$127$			195.224i			1.53720i	0.639731	+	0.768599i	$0.279046\pi$
$127$			195.224i			1.53720i	−0.639731	+	0.768599i	$0.720954\pi$
$128$	−9.79796	−	5.65685i	−0.0765466	−	0.0441942i
$129$	46.3473	−	26.7586i	0.359281	−	0.207431i
$130$	30.8954	+	1.32367i	0.237657	+	0.0101821i
$131$	12.9027	+	7.44939i	0.0984940	+	0.0568655i	0.548438	−	0.836191i	$-0.315223\pi$
$131$	12.9027	+	7.44939i	0.0984940	+	0.0568655i	−0.449944	+	0.893057i	$0.648556\pi$
$132$	5.16852			0.0391555
$133$	6.57222	−	0.318802i	0.0494152	−	0.00239701i
$134$	−103.542			−0.772700
$135$	23.0354	−	12.0154i	0.170633	−	0.0890028i
$136$	−37.1724	+	21.4615i	−0.273326	+	0.157805i
$137$	−190.458	+	109.961i	−1.39021	+	0.802636i	−0.993338	−	0.115239i	$-0.963237\pi$
$137$	−190.458	+	109.961i	−1.39021	+	0.802636i	−0.396869	+	0.917875i	$0.629903\pi$
$138$	−47.1870	+	81.7303i	−0.341935	+	0.592248i
$139$			51.3355i			0.369320i	0.982802	+	0.184660i	$0.0591184\pi$
$139$			51.3355i			0.369320i	−0.982802	+	0.184660i	$0.940882\pi$
$140$	69.9989	−	0.395656i	0.499992	−	0.00282612i
$141$	−144.324			−1.02358
$142$	101.805	+	58.7769i	0.716934	+	0.413922i
$143$	3.26252	+	5.65085i	0.0228148	+	0.0395164i
$144$	−6.00000	−	10.3923i	−0.0416667	−	0.0721688i
$145$	−17.7800	+	9.27411i	−0.122620	+	0.0639594i
$146$		−	188.061i		−	1.28809i
$147$	84.4720	−	8.21440i	0.574640	−	0.0558802i
$148$			52.5273i			0.354914i
$149$	4.18845	−	7.25460i	0.0281104	−	0.0486886i	−0.851628	−	0.524147i	$-0.824384\pi$
$149$	4.18845	−	7.25460i	0.0281104	−	0.0486886i	0.879738	+	0.475458i	$0.157718\pi$
$150$	50.2199	+	35.0423i	0.334799	+	0.233616i
$151$	−28.4660	−	49.3045i	−0.188516	−	0.326520i	0.756239	−	0.654295i	$-0.227035\pi$
$151$	−28.4660	−	49.3045i	−0.188516	−	0.326520i	−0.944756	+	0.327775i	$0.893701\pi$
$152$	1.32935	−	2.30250i	0.00874572	−	0.0151480i
$153$	−45.5267			−0.297560
$154$	7.99622	+	12.4186i	0.0519235	+	0.0806402i
$155$	37.2849	−	58.6310i	0.240548	−	0.378265i
$156$	7.57474	−	13.1198i	0.0485560	−	0.0841015i
$157$	−53.1311	−	92.0257i	−0.338414	−	0.586151i	0.645720	−	0.763574i	$-0.276557\pi$
$157$	−53.1311	−	92.0257i	−0.338414	−	0.586151i	−0.984135	+	0.177423i	$0.943224\pi$
$158$	65.7876	−	37.9825i	0.416377	−	0.240396i
$159$	56.9690	+	32.8910i	0.358295	+	0.206862i
$160$	15.1777	−	23.8671i	0.0948604	−	0.149169i
$161$	−269.379	+	13.0669i	−1.67316	+	0.0811611i
$162$		−	12.7279i		−	0.0785674i
$163$	174.143	+	100.542i	1.06836	+	0.616821i	0.927734	−	0.373241i	$-0.121754\pi$
$163$	174.143	+	100.542i	1.06836	+	0.616821i	0.140631	+	0.990062i	$0.455087\pi$
$164$	−50.6529	+	29.2445i	−0.308859	+	0.178320i
$165$	−0.553087	+	12.9095i	−0.00335204	+	0.0782391i
$166$	94.5166	+	54.5692i	0.569377	+	0.328730i
$167$	−280.306			−1.67848			−0.839240	−	0.543761i	$-0.817000\pi$
$167$	−280.306			−1.67848			−0.839240	+	0.543761i	$0.817000\pi$
$168$	15.6874	−	30.4944i	0.0933773	−	0.181514i
$169$	−149.874			−0.886831
$170$	−49.6267	−	95.1423i	−0.291922	−	0.559661i
$171$	2.44217	−	1.40999i	0.0142817	−	0.00824554i
$172$	53.5172	−	30.8982i	0.311147	−	0.179641i
$173$	0.638057	−	1.10515i	0.00368819	−	0.00638814i	−0.864175	−	0.503191i	$-0.832159\pi$
$173$	0.638057	−	1.10515i	0.00368819	−	0.00638814i	0.867864	+	0.496803i	$0.165493\pi$
$174$			9.82408i			0.0564603i
$175$	−6.50239	+	174.879i	−0.0371565	+	0.999309i
$176$	5.96809			0.0339096
$177$	124.744	+	72.0209i	0.704768	+	0.406898i
$178$	34.2305	+	59.2889i	0.192306	+	0.333084i
$179$	87.3968	+	151.376i	0.488250	+	0.845674i	0.999909	−	0.0135148i	$-0.00430201\pi$
$179$	87.3968	+	151.376i	0.488250	+	0.845674i	−0.511658	+	0.859189i	$0.670969\pi$
$180$	26.5990	−	13.8742i	0.147772	−	0.0770787i
$181$		−	33.1471i		−	0.183133i	−0.995799	−	0.0915666i	$-0.970813\pi$
$181$		−	33.1471i		−	0.183133i	0.995799	−	0.0915666i	$-0.0291874\pi$
$182$	43.2424	−	2.09759i	0.237596	−	0.0115252i
$183$			49.1682i			0.268679i
$184$	−54.4869	+	94.3740i	−0.296124	+	0.512902i
$185$	−131.198	−	5.62098i	−0.709178	−	0.0303837i
$186$	−17.0196	−	29.4787i	−0.0915030	−	0.158488i
$187$	11.3211	−	19.6088i	0.0605408	−	0.104860i
$188$	−166.651			−0.886442
$189$	30.5819	−	19.6914i	0.161809	−	0.104187i
$190$	5.60872	+	3.56672i	0.0295196	+	0.0187722i
$191$	−99.7717	+	172.810i	−0.522365	+	0.904763i	0.477296	+	0.878742i	$0.341617\pi$
$191$	−99.7717	+	172.810i	−0.522365	+	0.904763i	−0.999661	+	0.0260206i	$0.991716\pi$
$192$	−6.92820	−	12.0000i	−0.0360844	−	0.0625000i
$193$	−80.5734	+	46.5191i	−0.417479	+	0.241031i	−0.693998	−	0.719977i	$-0.744152\pi$
$193$	−80.5734	+	46.5191i	−0.417479	+	0.241031i	0.276519	+	0.961008i	$0.410819\pi$
$194$	−45.9634	−	26.5370i	−0.236925	−	0.136789i
$195$	31.9590	+	20.3235i	0.163892	+	0.104223i
$196$	97.5399	−	9.48517i	0.497653	−	0.0483937i
$197$		−	215.720i		−	1.09502i	−0.836798	−	0.547512i	$-0.815575\pi$
$197$		−	215.720i		−	1.09502i	0.836798	−	0.547512i	$-0.184425\pi$
$198$	5.48204	+	3.16506i	0.0276871	+	0.0159851i
$199$	177.570	−	102.520i	0.892309	−	0.515175i	0.0176120	−	0.999845i	$-0.494394\pi$
$199$	177.570	−	102.520i	0.892309	−	0.515175i	0.874697	+	0.484670i	$0.161060\pi$
$200$	57.9889	+	40.4634i	0.289945	+	0.202317i
$201$	−109.823	−	63.4061i	−0.546381	−	0.315453i
$202$	−167.241			−0.827926
$203$	−23.6047	+	15.1988i	−0.116279	+	0.0748711i
$204$	−52.5697			−0.257694
$205$	−67.6238	−	129.646i	−0.329872	−	0.632418i
$206$	−197.702	+	114.143i	−0.959717	+	0.554093i
$207$	−100.099	+	57.7920i	−0.483569	+	0.279189i
$208$	8.74656	−	15.1495i	0.0420508	−	0.0728341i
$209$			1.40249i			0.00671048i
$210$	74.4873	+	42.4457i	0.354702	+	0.202123i
$211$	350.060			1.65905			0.829527	−	0.558467i	$-0.188610\pi$
$211$	350.060			1.65905			0.829527	+	0.558467i	$0.188610\pi$
$212$	65.7821	+	37.9793i	0.310293	+	0.179148i
$213$	71.9867	+	124.685i	0.337966	+	0.585374i
$214$	86.0473	+	149.038i	0.402090	+	0.696441i
$215$	71.4477	+	136.977i	0.332315	+	0.637102i
$216$		−	14.6969i		−	0.0680414i
$217$	44.4987	−	86.5001i	0.205063	−	0.398618i
$218$		−	156.005i		−	0.715621i
$219$	115.163	−	199.469i	0.525860	−	0.910816i
$220$	−0.638649	+	14.9066i	−0.00290295	+	0.0677571i
$221$	−33.1835	−	57.4755i	−0.150151	−	0.260070i
$222$	−32.1663	+	55.7136i	−0.144893	+	0.250962i
$223$	23.4430			0.105126			0.0525628	−	0.998618i	$-0.483261\pi$
$223$	23.4430			0.105126			0.0525628	+	0.998618i	$0.483261\pi$
$224$	18.1142	−	35.2119i	0.0808671	−	0.157196i
$225$	31.8072	+	67.9213i	0.141366	+	0.301872i
$226$	149.302	−	258.598i	0.660627	−	1.14424i
$227$	−91.3385	−	158.203i	−0.402372	−	0.696929i	0.591639	−	0.806203i	$-0.298481\pi$
$227$	−91.3385	−	158.203i	−0.402372	−	0.696929i	−0.994012	+	0.109273i	$0.965148\pi$
$228$	2.81998	−	1.62811i	0.0123683	−	0.00714085i
$229$	240.288	+	138.730i	1.04929	+	0.605808i	0.922451	−	0.386115i	$-0.126183\pi$
$229$	240.288	+	138.730i	1.04929	+	0.605808i	0.126840	+	0.991923i	$0.459516\pi$
$230$	−229.888	−	146.191i	−0.999513	−	0.635614i
$231$	0.876463	+	18.0686i	0.00379421	+	0.0782189i
$232$			11.3439i			0.0488960i
$233$	125.892	+	72.6837i	0.540308	+	0.311947i	0.745204	−	0.666837i	$-0.232352\pi$
$233$	125.892	+	72.6837i	0.540308	+	0.311947i	−0.204896	+	0.978784i	$0.565685\pi$
$234$	16.0685	−	9.27713i	0.0686686	−	0.0396458i
$235$	17.8334	−	416.246i	0.0758870	−	1.77126i
$236$	144.042	+	83.1626i	0.610347	+	0.352384i
$237$	93.0377			0.392564
$238$	−81.3305	−	126.311i	−0.341725	−	0.530719i
$239$	292.134			1.22232			0.611159	−	0.791508i	$-0.290703\pi$
$239$	292.134			1.22232			0.611159	+	0.791508i	$0.290703\pi$
$240$	30.7139	−	16.0205i	0.127975	−	0.0667521i
$241$	283.303	−	163.565i	1.17553	−	0.678692i	0.220553	−	0.975375i	$-0.429214\pi$
$241$	283.303	−	163.565i	1.17553	−	0.678692i	0.954976	+	0.296683i	$0.0958804\pi$
$242$	145.468	−	83.9858i	0.601106	−	0.347049i
$243$	7.79423	−	13.5000i	0.0320750	−	0.0555556i
$244$			56.7746i			0.232683i
$245$	13.2534	+	244.641i	0.0540954	+	0.998536i
$246$	−71.6341			−0.291195
$247$	3.56010	+	2.05542i	0.0144134	+	0.00832155i
$248$	−19.6525	−	34.0391i	−0.0792439	−	0.137255i
$249$	66.8333	+	115.759i	0.268407	+	0.464895i
$250$	−107.271	+	140.509i	−0.429085	+	0.562037i
$251$		−	347.550i		−	1.38466i	−0.721580	−	0.692331i	$-0.756584\pi$
$251$		−	347.550i		−	1.38466i	0.721580	−	0.692331i	$-0.243416\pi$
$252$	35.3129	−	22.7376i	0.140131	−	0.0902287i
$253$		−	57.4847i		−	0.227212i
$254$	−138.044	+	239.100i	−0.543481	+	0.941337i
$255$	5.62551	−	131.304i	0.0220608	−	0.514916i
$256$	−8.00000	−	13.8564i	−0.0312500	−	0.0541266i
$257$	202.827	−	351.306i	0.789209	−	1.36695i	−0.137243	−	0.990537i	$-0.543824\pi$
$257$	202.827	−	351.306i	0.789209	−	1.36695i	0.926452	−	0.376413i	$-0.122843\pi$
$258$	75.6848			0.293352
$259$	−183.630	+	8.90743i	−0.708995	+	0.0343916i
$260$	36.9030	+	23.4675i	0.141935	+	0.0902597i
$261$	−6.01600	+	10.4200i	−0.0230498	+	0.0399234i
$262$	10.5350	+	18.2472i	0.0402100	+	0.0696458i
$263$	41.4507	−	23.9316i	0.157607	−	0.0909947i	−0.419122	−	0.907930i	$-0.637662\pi$
$263$	41.4507	−	23.9316i	0.157607	−	0.0909947i	0.576729	+	0.816935i	$0.304329\pi$
$264$	6.33012	+	3.65470i	0.0239777	+	0.0138435i
$265$	−101.901	+	160.240i	−0.384531	+	0.604680i
$266$	8.27471	+	4.25681i	0.0311079	+	0.0160030i
$267$			83.8472i			0.314035i
$268$	−126.812	−	73.2151i	−0.473180	−	0.273191i
$269$	268.858	−	155.225i	0.999473	−	0.577046i	0.0913810	−	0.995816i	$-0.470872\pi$
$269$	268.858	−	155.225i	0.999473	−	0.577046i	0.908092	+	0.418770i	$0.137539\pi$
$270$	36.7087	+	1.57273i	0.135958	+	0.00582492i
$271$	300.869	+	173.707i	1.11022	+	0.640984i	0.938885	−	0.344230i	$-0.111860\pi$
$271$	300.869	+	173.707i	1.11022	+	0.640984i	0.171331	+	0.985214i	$0.445193\pi$
$272$	−60.7022			−0.223170
$273$	47.1500	+	24.2556i	0.172711	+	0.0888485i
$274$	−311.017			−1.13510
$275$	−37.1639	−	3.19032i	−0.135141	−	0.0116012i
$276$	−115.584	+	66.7325i	−0.418783	+	0.241784i
$277$	260.629	−	150.474i	0.940898	−	0.543228i	0.0506565	−	0.998716i	$-0.483869\pi$
$277$	260.629	−	150.474i	0.940898	−	0.543228i	0.890242	+	0.455488i	$0.150535\pi$
$278$	−36.2997	+	62.8729i	−0.130574	+	0.226162i
$279$		−	41.6892i		−	0.149424i
$280$	86.0105	+	49.0121i	0.307181	+	0.175043i
$281$	−309.465			−1.10130			−0.550649	−	0.834737i	$-0.685620\pi$
$281$	−309.465			−1.10130			−0.550649	+	0.834737i	$0.685620\pi$
$282$	−176.760	−	102.053i	−0.626809	−	0.361888i
$283$	−99.1522	−	171.737i	−0.350361	−	0.606843i	0.635952	−	0.771729i	$-0.280608\pi$
$283$	−99.1522	−	171.737i	−0.350361	−	0.606843i	−0.986313	+	0.164886i	$0.947274\pi$
$284$	83.1231	+	143.973i	0.292687	+	0.506949i
$285$	3.76479	+	7.21770i	0.0132098	+	0.0253253i
$286$			9.22779i			0.0322650i
$287$	−110.825	−	172.118i	−0.386150	−	0.599714i
$288$		−	16.9706i		−	0.0589256i
$289$	29.3513	−	50.8380i	0.101562	−	0.175910i
$290$	−28.3337	−	1.21392i	−0.0977024	−	0.00418591i
$291$	−32.5011	−	56.2935i	−0.111688	−	0.193448i
$292$	132.979	−	230.327i	0.455408	−	0.788790i
$293$	−39.7660			−0.135720			−0.0678600	−	0.997695i	$-0.521617\pi$
$293$	−39.7660			−0.135720			−0.0678600	+	0.997695i	$0.521617\pi$
$294$	109.265	+	49.6702i	0.371650	+	0.168946i
$295$	−223.130	+	350.875i	−0.756373	+	1.18941i
$296$	−37.1424	+	64.3325i	−0.125481	+	0.217340i
$297$	3.87639	+	6.71410i	0.0130518	+	0.0226064i
$298$	10.2596	−	5.92336i	0.0344280	−	0.0198770i
$299$	−145.920	−	84.2469i	−0.488027	−	0.281762i
$300$	36.7278	+	78.4287i	0.122426	+	0.261429i
$301$	117.092	+	181.851i	0.389010	+	0.604155i
$302$		−	80.5139i		−	0.266602i
$303$	−177.386	−	102.414i	−0.585432	−	0.337999i
$304$	3.25623	−	1.87998i	0.0107113	−	0.00618416i
$305$	−141.806	−	6.07548i	−0.464939	−	0.0199196i
$306$	−55.7585	−	32.1922i	−0.182217	−	0.105203i
$307$	584.044			1.90242			0.951211	−	0.308541i	$-0.0998408\pi$
$307$	584.044			1.90242			0.951211	+	0.308541i	$0.0998408\pi$
$308$	1.01205	+	20.8638i	0.00328588	+	0.0677396i
$309$	−279.592			−0.904830
$310$	87.1228	−	45.4437i	0.281041	−	0.146592i
$311$	58.8058	−	33.9515i	0.189086	−	0.109169i	−0.402469	−	0.915434i	$-0.631848\pi$
$311$	58.8058	−	33.9515i	0.189086	−	0.109169i	0.591555	+	0.806265i	$0.298514\pi$
$312$	18.5543	−	10.7123i	0.0594688	−	0.0343343i
$313$	−130.464	+	225.970i	−0.416817	+	0.721949i	−0.995617	−	0.0935206i	$-0.970188\pi$
$313$	−130.464	+	225.970i	−0.416817	+	0.721949i	0.578800	+	0.815470i	$0.303521\pi$
$314$		−	150.277i		−	0.478590i
$315$	53.0131	+	90.6345i	0.168296	+	0.287728i
$316$	107.431			0.339971
$317$	161.999	+	93.5300i	0.511037	+	0.295047i	0.733260	−	0.679949i	$-0.237998\pi$
$317$	161.999	+	93.5300i	0.511037	+	0.295047i	−0.222223	+	0.974996i	$0.571331\pi$
$318$	46.5150	+	80.5663i	0.146273	+	0.253353i
$319$	−2.99200	−	5.18230i	−0.00937932	−	0.0162455i
$320$	35.4654	−	18.4989i	0.110829	−	0.0578090i
$321$			210.772i			0.656611i
$322$	−339.161	−	174.476i	−1.05329	−	0.541852i
$323$		−	14.2649i		−	0.0441638i
$324$	9.00000	−	15.5885i	0.0277778	−	0.0481125i
$325$	−62.5640	+	89.6617i	−0.192505	+	0.275882i
$326$	142.188	+	246.276i	0.436158	+	0.755448i
$327$	95.5334	−	165.469i	0.292151	−	0.506021i
$328$	−82.7159			−0.252183
$329$	−28.2602	−	582.594i	−0.0858973	−	1.77080i
$330$	−9.80575	+	15.4197i	−0.0297144	+	0.0467264i
$331$	−143.766	+	249.011i	−0.434339	+	0.752298i	−0.997241	−	0.0742258i	$-0.976351\pi$
$331$	−143.766	+	249.011i	−0.434339	+	0.752298i	0.562902	+	0.826524i	$0.309685\pi$
$332$	77.1725	+	133.667i	0.232447	+	0.402610i
$333$	−68.2349	+	39.3955i	−0.204910	+	0.118305i
$334$	−343.304	−	198.206i	−1.02785	−	0.593432i
$335$	196.440	−	308.905i	0.586389	−	0.922105i
$336$	40.7758	−	26.2552i	0.121357	−	0.0781404i
$337$			251.530i			0.746381i	0.927755	+	0.373190i	$0.121736\pi$
$337$			251.530i			0.746381i	−0.927755	+	0.373190i	$0.878264\pi$
$338$	−183.558	−	105.977i	−0.543071	−	0.313542i
$339$	316.717	−	182.857i	0.934268	−	0.539400i
$340$	6.49578	−	151.616i	0.0191052	−	0.445931i
$341$	17.9560	+	10.3669i	0.0526568	+	0.0304014i
$342$	3.98805			0.0116610
$343$	49.6996	+	339.380i	0.144897	+	0.989447i
$344$	87.3932			0.254050
$345$	−154.310	−	295.836i	−0.447274	−	0.857497i
$346$	1.56291	−	0.902349i	0.00451709	−	0.00260795i
$347$	−97.7498	+	56.4359i	−0.281700	+	0.162639i	−0.634193	−	0.773175i	$-0.718667\pi$
$347$	−97.7498	+	56.4359i	−0.281700	+	0.162639i	0.352493	+	0.935814i	$0.385334\pi$
$348$	−6.94668	+	12.0320i	−0.0199617	+	0.0345747i
$349$			274.572i			0.786738i	0.919381	+	0.393369i	$0.128690\pi$
$349$			274.572i			0.786738i	−0.919381	+	0.393369i	$0.871310\pi$
$350$	−131.622	+	209.584i	−0.376063	+	0.598813i
$351$	22.7242			0.0647414
$352$	7.30939	+	4.22008i	0.0207653	+	0.0119889i
$353$	209.540	+	362.934i	0.593598	+	1.02814i	0.993743	+	0.111690i	$0.0356263\pi$
$353$	209.540	+	362.934i	0.593598	+	1.02814i	−0.400145	+	0.916452i	$0.631040\pi$
$354$	101.853	+	176.415i	0.287720	+	0.498346i
$355$	−368.499	+	192.211i	−1.03803	+	0.541439i
$356$			96.8184i			0.271962i
$357$	−8.91461	−	183.778i	−0.0249709	−	0.514783i
$358$			247.195i			0.690490i
$359$	−232.783	+	403.192i	−0.648421	+	1.12310i	0.335079	+	0.942190i	$0.391237\pi$
$359$	−232.783	+	403.192i	−0.648421	+	1.12310i	−0.983500	+	0.180908i	$0.942096\pi$
$360$	42.3875	+	1.81603i	0.117743	+	0.00504453i
$361$	−180.058	−	311.870i	−0.498776	−	0.863906i
$362$	23.4385	−	40.5967i	0.0647473	−	0.112146i
$363$	205.722			0.566728
$364$	54.4441	+	28.0080i	0.149572	+	0.0769451i
$365$	561.058	+	356.790i	1.53715	+	0.977508i
$366$	−34.7672	+	60.2185i	−0.0949923	+	0.164532i
$367$	32.9431	+	57.0590i	0.0897631	+	0.155474i	0.907411	−	0.420244i	$-0.138056\pi$
$367$	32.9431	+	57.0590i	0.0897631	+	0.155474i	−0.817648	+	0.575719i	$0.804722\pi$
$368$	−133.465	+	77.0560i	−0.362677	+	0.209391i
$369$	−75.9794	−	43.8667i	−0.205906	−	0.118880i
$370$	−156.709	−	99.6552i	−0.423539	−	0.269338i
$371$	−121.616	+	236.407i	−0.327807	+	0.637217i
$372$		−	48.1386i		−	0.129405i
$373$	−438.637	−	253.247i	−1.17597	−	0.678947i	−0.220892	−	0.975298i	$-0.570897\pi$
$373$	−438.637	−	253.247i	−1.17597	−	0.678947i	−0.955079	+	0.296351i	$0.904230\pi$
$374$	27.7310	−	16.0105i	0.0741471	−	0.0428088i
$375$	−199.822	+	83.3428i	−0.532860	+	0.222247i
$376$	−204.105	−	117.840i	−0.542833	−	0.313405i
$377$	−17.5398			−0.0465246
$378$	51.3789	−	2.49227i	0.135923	−	0.00659329i
$379$	−731.599			−1.93034			−0.965170	−	0.261623i	$-0.915742\pi$
$379$	−731.599			−1.93034			−0.965170	+	0.261623i	$0.915742\pi$
$380$	4.34720	+	8.33429i	0.0114400	+	0.0219323i
$381$	−292.836	+	169.069i	−0.768599	+	0.443751i
$382$	−244.390	+	141.099i	−0.639764	+	0.369368i
$383$	−57.8141	+	100.137i	−0.150951	+	0.261454i	−0.931577	−	0.363543i	$-0.881567\pi$
$383$	−57.8141	+	100.137i	−0.150951	+	0.261454i	0.780627	+	0.624998i	$0.214900\pi$
$384$		−	19.5959i		−	0.0510310i
$385$	−52.2200	+	0.295164i	−0.135636	+	0.000766661i
$386$	−131.576			−0.340870
$387$	80.2758	+	46.3473i	0.207431	+	0.119760i
$388$	−37.5290	−	65.0021i	−0.0967242	−	0.167531i
$389$	181.166	+	313.788i	0.465721	+	0.806653i	0.999234	−	0.0391390i	$-0.0124615\pi$
$389$	181.166	+	313.788i	0.465721	+	0.806653i	−0.533512	+	0.845792i	$0.679128\pi$
$390$	24.7707	+	47.4895i	0.0635147	+	0.121768i
$391$			584.684i			1.49536i
$392$	126.169	+	57.3542i	0.321858	+	0.146312i
$393$			25.8054i			0.0656627i
$394$	152.537	−	264.201i	0.387149	−	0.670562i
$395$	−11.4962	+	268.331i	−0.0291044	+	0.679318i
$396$	4.47607	+	7.75278i	0.0113032	+	0.0195777i
$397$	334.839	−	579.957i	0.843422	−	1.46085i	−0.0435624	−	0.999051i	$-0.513871\pi$
$397$	334.839	−	579.957i	0.843422	−	1.46085i	0.886984	−	0.461799i	$-0.152796\pi$
$398$	289.970			0.728567
$399$	6.16991	+	9.58223i	0.0154634	+	0.0240156i
$400$	42.4097	+	90.5617i	0.106024	+	0.226404i
$401$	−215.671	+	373.554i	−0.537834	+	0.931555i	0.461187	+	0.887303i	$0.347424\pi$
$401$	−215.671	+	373.554i	−0.537834	+	0.931555i	−0.999020	+	0.0442523i	$0.985909\pi$
$402$	−89.6698	−	155.313i	−0.223059	−	0.386350i
$403$	52.6309	−	30.3865i	0.130598	−	0.0754006i
$404$	−204.828	−	118.257i	−0.506999	−	0.292716i
$405$	37.9723	+	24.1475i	0.0937588	+	0.0596235i
$406$	−39.6569	+	1.92366i	−0.0976772	+	0.00473808i
$407$		−	39.1860i		−	0.0962800i
$408$	−64.3844	−	37.1724i	−0.157805	−	0.0911087i
$409$	216.552	−	125.026i	0.529467	−	0.305688i	−0.211333	−	0.977414i	$-0.567780\pi$
$409$	216.552	−	125.026i	0.529467	−	0.305688i	0.740799	+	0.671726i	$0.234447\pi$
$410$	8.85148	−	206.600i	0.0215890	−	0.503903i
$411$	−329.884	−	190.458i	−0.802636	−	0.463402i
$412$	−322.846			−0.783606
$413$	−266.301	+	517.657i	−0.644797	+	1.25341i
$414$	−163.461			−0.394832
$415$	−342.119	+	178.451i	−0.824382	+	0.430002i
$416$	21.4246	−	12.3695i	0.0515015	−	0.0297344i
$417$	−77.0033	+	44.4579i	−0.184660	+	0.106614i
$418$	−0.991710	+	1.71769i	−0.00237251	+	0.00410931i
$419$		−	398.487i		−	0.951043i	−0.879704	−	0.475521i	$-0.842259\pi$
$419$		−	398.487i		−	0.951043i	0.879704	−	0.475521i	$-0.157741\pi$
$420$	61.2143	+	104.656i	0.145748	+	0.249180i
$421$	264.524			0.628322			0.314161	−	0.949370i	$-0.398277\pi$
$421$	264.524			0.628322			0.314161	+	0.949370i	$0.398277\pi$
$422$	428.735	+	247.530i	1.01596	+	0.586564i
$423$	−124.988	−	216.486i	−0.295481	−	0.511788i
$424$	53.7108	+	93.0299i	0.126677	+	0.219410i
$425$	377.999	+	32.4491i	0.889408	+	0.0763509i
$426$			203.609i			0.477956i
$427$	−198.478	+	9.62767i	−0.464819	+	0.0225472i
$428$			243.379i			0.568642i
$429$	−5.65085	+	9.78755i	−0.0131721	+	0.0228148i
$430$	−9.35201	+	218.283i	−0.0217488	+	0.507635i
$431$	−13.9733	−	24.2024i	−0.0324206	−	0.0561541i	0.849360	−	0.527814i	$-0.176988\pi$
$431$	−13.9733	−	24.2024i	−0.0324206	−	0.0561541i	−0.881780	+	0.471660i	$0.843655\pi$
$432$	10.3923	−	18.0000i	0.0240563	−	0.0416667i
$433$	638.106			1.47369			0.736843	−	0.676064i	$-0.236316\pi$
$433$	638.106			1.47369			0.736843	+	0.676064i	$0.236316\pi$
$434$	115.664	−	74.4752i	0.266508	−	0.171602i
$435$	−29.3091	−	18.6383i	−0.0673771	−	0.0428467i
$436$	110.312	−	191.067i	0.253010	−	0.438227i
$437$	−18.1080	−	31.3640i	−0.0414371	−	0.0717712i
$438$	282.091	−	162.865i	0.644044	−	0.371839i
$439$	−476.258	−	274.968i	−1.08487	−	0.626350i	−0.152665	−	0.988278i	$-0.548785\pi$
$439$	−476.258	−	274.968i	−1.08487	−	0.626350i	−0.932206	+	0.361928i	$0.882119\pi$
$440$	−11.3227	+	17.8051i	−0.0257334	+	0.0404662i
$441$	85.4765	+	119.594i	0.193824	+	0.271189i
$442$		−	93.8570i		−	0.212346i
$443$	135.889	+	78.4555i	0.306747	+	0.177100i	0.645470	−	0.763786i	$-0.276662\pi$
$443$	135.889	+	78.4555i	0.306747	+	0.177100i	−0.338723	+	0.940886i	$0.609995\pi$
$444$	−78.7909	+	45.4900i	−0.177457	+	0.102455i
$445$	−241.824	−	10.3606i	−0.543425	−	0.0232822i
$446$	28.7117	+	16.5767i	0.0643760	+	0.0371675i
$447$	14.5092			0.0324591
$448$	47.0838	−	30.3168i	0.105098	−	0.0676715i
$449$	171.917			0.382888			0.191444	−	0.981504i	$-0.438683\pi$
$449$	171.917			0.382888			0.191444	+	0.981504i	$0.438683\pi$
$450$	−9.07183	+	105.677i	−0.0201596	+	0.234839i
$451$	37.7877	−	21.8167i	0.0837864	−	0.0483741i
$452$	365.713	−	211.145i	0.809100	−	0.467134i
$453$	49.3045	−	85.3979i	0.108840	−	0.188516i
$454$		−	258.344i		−	0.569040i
$455$	−75.7819	+	132.988i	−0.166554	+	0.292282i
$456$	4.60500			0.0100987
$457$	−634.209	−	366.161i	−1.38777	−	0.801228i	−0.394703	−	0.918809i	$-0.629153\pi$
$457$	−634.209	−	366.161i	−1.38777	−	0.801228i	−0.993063	+	0.117581i	$0.962486\pi$
$458$	196.194	+	339.818i	0.428371	+	0.741961i
$459$	−39.4272	−	68.2900i	−0.0858981	−	0.148780i
$460$	−178.181	−	341.602i	−0.387351	−	0.742614i
$461$		−	634.017i		−	1.37531i	−0.726038	−	0.687654i	$-0.758641\pi$
$461$		−	634.017i		−	1.37531i	0.726038	−	0.687654i	$-0.241359\pi$
$462$	−11.7030	+	22.7491i	−0.0253311	+	0.0492406i
$463$		−	548.036i		−	1.18366i	−0.806062	−	0.591832i	$-0.798405\pi$
$463$		−	548.036i		−	1.18366i	0.806062	−	0.591832i	$-0.201595\pi$
$464$	−8.02133	+	13.8934i	−0.0172874	+	0.0299426i
$465$	120.236	+	5.15134i	0.258572	+	0.0110782i
$466$	102.790	+	178.038i	0.220580	+	0.382056i
$467$	293.172	−	507.789i	0.627778	−	1.08734i	−0.360219	−	0.932868i	$-0.617298\pi$
$467$	293.172	−	507.789i	0.627778	−	1.08734i	0.987997	−	0.154475i	$-0.0493687\pi$
$468$	26.2397			0.0560677
$469$	234.447	−	455.737i	0.499888	−	0.971721i
$470$	316.172	−	497.185i	0.672706	−	1.05784i
$471$	92.0257	−	159.393i	0.195384	−	0.338414i
$472$	117.610	+	203.706i	0.249173	+	0.431580i
$473$	−39.9245	+	23.0504i	−0.0844069	+	0.0487323i
$474$	113.947	+	65.7876i	0.240396	+	0.138792i
$475$	−21.2818	+	9.96618i	−0.0448038	+	0.0209814i
$476$	−10.2937	−	212.208i	−0.0216254	−	0.445816i
$477$			113.938i			0.238864i
$478$	357.790	+	206.570i	0.748514	+	0.432155i
$479$	154.098	−	88.9687i	0.321708	−	0.185738i	−0.330445	−	0.943825i	$-0.607199\pi$
$479$	154.098	−	88.9687i	0.321708	−	0.185738i	0.652154	+	0.758087i	$0.273866\pi$
$480$	48.9449	+	2.09697i	0.101969	+	0.00436869i
$481$	−99.4702	−	57.4291i	−0.206799	−	0.119395i
$482$	462.631			0.959816
$483$	−252.890	−	392.753i	−0.523581	−	0.813153i
$484$	237.548			0.490801
$485$	166.372	−	86.7806i	0.343036	−	0.178929i
$486$	19.0919	−	11.0227i	0.0392837	−	0.0226805i
$487$	−38.7327	+	22.3623i	−0.0795332	+	0.0459185i	−0.539239	−	0.842153i	$-0.681288\pi$
$487$	−38.7327	+	22.3623i	−0.0795332	+	0.0459185i	0.459706	+	0.888071i	$0.347955\pi$
$488$	−40.1457	+	69.5344i	−0.0822658	+	0.142488i
$489$			348.287i			0.712243i
$490$	−156.755	+	308.995i	−0.319909	+	0.630601i
$491$	845.050			1.72108			0.860540	−	0.509383i	$-0.170126\pi$
$491$	845.050			1.72108			0.860540	+	0.509383i	$0.170126\pi$
$492$	−87.7335	−	50.6529i	−0.178320	−	0.102953i
$493$	30.4320	+	52.7098i	0.0617283	+	0.106916i
$494$	2.90681	+	5.03474i	0.00588423	+	0.0101918i
$495$	−19.8432	+	10.3503i	−0.0400872	+	0.0209097i
$496$		−	55.5857i		−	0.112068i
$497$	−489.220	+	315.004i	−0.984345	+	0.633811i
$498$			189.033i			0.379585i
$499$	−468.840	+	812.055i	−0.939560	+	1.62737i	−0.173266	+	0.984875i	$0.555432\pi$
$499$	−468.840	+	812.055i	−0.939560	+	1.62737i	−0.766294	+	0.642491i	$0.777901\pi$
$500$	−230.735	+	96.2359i	−0.461470	+	0.192472i
$501$	−242.752	−	420.459i	−0.484535	−	0.839240i
$502$	245.755	−	425.660i	0.489552	−	0.847929i
$503$	−781.959			−1.55459			−0.777296	−	0.629135i	$-0.783409\pi$
$503$	−781.959			−1.55459			−0.777296	+	0.629135i	$0.783409\pi$
$504$	59.3272	−	2.87782i	0.117713	−	0.00570996i
$505$	317.291	−	498.945i	0.628299	−	0.988009i
$506$	40.6478	−	70.4041i	0.0803317	−	0.139139i
$507$	−129.795	−	224.812i	−0.256006	−	0.443415i
$508$	−338.138	+	195.224i	−0.665626	+	0.384299i
$509$	−178.308	−	102.946i	−0.350310	−	0.202252i	0.314512	−	0.949254i	$-0.398159\pi$
$509$	−178.308	−	102.946i	−0.350310	−	0.202252i	−0.664822	+	0.747002i	$0.731493\pi$
$510$	99.7355	−	156.836i	0.195560	−	0.307521i
$511$	827.746	+	425.822i	1.61986	+	0.833311i
$512$		−	22.6274i		−	0.0441942i
$513$	4.22996	+	2.44217i	0.00824554	+	0.00476057i
$514$	496.822	−	286.840i	0.966580	−	0.558055i
$515$	34.5479	−	806.374i	0.0670833	−	1.56577i
$516$	92.6945	+	53.5172i	0.179641	+	0.103716i
$517$	124.324			0.240471
$518$	−231.198	−	118.936i	−0.446328	−	0.229607i
$519$	2.21029			0.00425876
$520$	28.6028	+	54.8361i	0.0550053	+	0.105454i
$521$	104.759	−	60.4826i	0.201073	−	0.116089i	−0.396083	−	0.918215i	$-0.629631\pi$
$521$	104.759	−	60.4826i	0.201073	−	0.116089i	0.597156	+	0.802125i	$0.296297\pi$
$522$	−14.7361	+	8.50791i	−0.0282301	+	0.0162987i
$523$	294.710	−	510.453i	0.563499	−	0.976009i	−0.433688	−	0.901063i	$-0.642788\pi$
$523$	294.710	−	510.453i	0.563499	−	0.976009i	0.997188	−	0.0749463i	$-0.0238785\pi$
$524$			29.7975i			0.0568655i
$525$	−267.950	+	141.696i	−0.510381	+	0.269898i
$526$	67.6888			0.128686
$527$	−182.632	−	105.443i	−0.346551	−	0.200081i
$528$	5.16852	+	8.95214i	0.00978886	+	0.0169548i
$529$	477.704	+	827.408i	0.903033	+	1.56410i
$530$	−238.109	+	124.199i	−0.449263	+	0.234337i
$531$			249.488i			0.469845i
$532$	7.12440	+	11.0646i	0.0133917	+	0.0207981i
$533$		−	127.894i		−	0.239952i
$534$	−59.2889	+	102.691i	−0.111028	+	0.192306i
$535$	−607.889	−	26.0441i	−1.13624	−	0.0486806i
$536$	−103.542	−	179.340i	−0.193175	−	0.334589i
$537$	−151.376	+	262.190i	−0.281891	+	0.488250i
$538$	439.044			0.816067
$539$	−72.7659	+	7.07605i	−0.135002	+	0.0131281i
$540$	43.8467	+	27.8831i	0.0811975	+	0.0516354i
$541$	239.673	−	415.125i	0.443018	−	0.767330i	−0.554894	−	0.831921i	$-0.687241\pi$
$541$	239.673	−	415.125i	0.443018	−	0.767330i	0.997912	+	0.0645915i	$0.0205744\pi$
$542$	245.658	+	425.493i	0.453244	+	0.785042i
$543$	49.7206	−	28.7062i	0.0915666	−	0.0528660i
$544$	−74.3447	−	42.9229i	−0.136663	−	0.0789025i
$545$	465.425	+	295.975i	0.853990	+	0.543073i
$546$	40.5954	+	63.0471i	0.0743506	+	0.115471i
$547$		−	325.395i		−	0.594871i	−0.954742	−	0.297436i	$-0.903869\pi$
$547$		−	325.395i		−	0.594871i	0.954742	−	0.297436i	$-0.0961314\pi$
$548$	−380.917	−	219.922i	−0.695103	−	0.401318i
$549$	−73.7523	+	42.5809i	−0.134339	+	0.0775609i
$550$	−43.2604	−	30.1862i	−0.0786553	−	0.0548839i
$551$	−3.26491	−	1.88500i	−0.00592543	−	0.00342105i
$552$	−188.748			−0.341935
$553$	18.2178	+	375.566i	0.0329436	+	0.679143i
$554$	425.605			0.768240
$555$	−105.189	−	201.665i	−0.189530	−	0.363360i
$556$	−88.9157	+	51.3355i	−0.159920	+	0.0923301i
$557$	−190.668	+	110.082i	−0.342312	+	0.197634i	−0.661294	−	0.750127i	$-0.729992\pi$
$557$	−190.668	+	110.082i	−0.342312	+	0.197634i	0.318982	+	0.947761i	$0.396659\pi$
$558$	29.4787	−	51.0587i	0.0528293	−	0.0915030i
$559$			135.126i			0.241729i
$560$	70.6842	+	120.846i	0.126222	+	0.215796i
$561$	39.2176			0.0699065
$562$	−379.015	−	218.825i	−0.674405	−	0.389368i
$563$	133.938	+	231.987i	0.237900	+	0.412055i	0.960111	−	0.279617i	$-0.0902076\pi$
$563$	133.938	+	231.987i	0.237900	+	0.412055i	−0.722212	+	0.691672i	$0.756874\pi$
$564$	−144.324	−	249.977i	−0.255894	−	0.443221i
$565$	488.242	+	936.040i	0.864146	+	1.65671i
$566$		−	280.445i		−	0.495485i
$567$	56.0217	+	28.8196i	0.0988037	+	0.0508281i
$568$			235.108i			0.413922i
$569$	−255.888	+	443.211i	−0.449716	+	0.778931i	−0.998367	−	0.0571206i	$-0.981808\pi$
$569$	−255.888	+	443.211i	−0.449716	+	0.778931i	0.548652	+	0.836051i	$0.315141\pi$
$570$	−0.492784	+	11.5020i	−0.000864533	+	0.0201789i
$571$	−155.674	−	269.635i	−0.272634	−	0.472216i	0.696901	−	0.717167i	$-0.254562\pi$
$571$	−155.674	−	269.635i	−0.272634	−	0.472216i	−0.969535	+	0.244951i	$0.921228\pi$
$572$	−6.52504	+	11.3017i	−0.0114074	+	0.0197582i
$573$	−345.619			−0.603175
$574$	−14.0267	−	289.166i	−0.0244368	−	0.503773i
$575$	872.291	−	408.490i	1.51703	−	0.710418i
$576$	12.0000	−	20.7846i	0.0208333	−	0.0360844i
$577$	556.951	+	964.667i	0.965253	+	1.67187i	0.708934	+	0.705275i	$0.249177\pi$
$577$	556.951	+	964.667i	0.965253	+	1.67187i	0.256320	+	0.966592i	$0.417490\pi$
$578$	71.8958	−	41.5090i	0.124387	−	0.0718149i
$579$	−139.557	−	80.5734i	−0.241031	−	0.139160i
$580$	−33.8432	−	21.5217i	−0.0583503	−	0.0371064i
$581$	−454.197	+	292.453i	−0.781751	+	0.503362i
$582$		−	91.9269i		−	0.157950i
$583$	−49.0742	−	28.3330i	−0.0841753	−	0.0485986i
$584$	325.731	−	188.061i	0.557758	−	0.322022i
$585$	−2.80792	+	65.5391i	−0.00479987	+	0.112033i
$586$	−48.7032	−	28.1188i	−0.0831112	−	0.0479843i
$587$	−640.383			−1.09094			−0.545471	−	0.838130i	$-0.683649\pi$
$587$	−640.383			−1.09094			−0.545471	+	0.838130i	$0.683649\pi$
$588$	98.6998	+	138.095i	0.167857	+	0.234856i
$589$	13.0625			0.0221774
$590$	−521.384	+	271.956i	−0.883701	+	0.460942i
$591$	323.579	−	186.819i	0.547512	−	0.316106i
$592$	−90.9799	+	52.5273i	−0.153682	+	0.0887285i
$593$	343.855	−	595.574i	0.579856	−	1.00434i	−0.415639	−	0.909530i	$-0.636442\pi$
$593$	343.855	−	595.574i	0.579856	−	1.00434i	0.995495	−	0.0948108i	$-0.0302246\pi$
$594$			10.9641i			0.0184581i
$595$	531.136	−	3.00215i	0.892665	−	0.00504563i
$596$	16.7538			0.0281104
$597$	307.559	+	177.570i	0.515175	+	0.297436i
$598$	−119.143	−	206.362i	−0.199236	−	0.345087i
$599$	216.968	+	375.799i	0.362217	+	0.627377i	0.988325	−	0.152358i	$-0.0486868\pi$
$599$	216.968	+	375.799i	0.362217	+	0.627377i	−0.626109	+	0.779736i	$0.715353\pi$
$600$	−10.4752	+	122.026i	−0.0174587	+	0.203376i
$601$		−	181.843i		−	0.302567i	−0.988490	−	0.151284i	$-0.951659\pi$
$601$		−	181.843i		−	0.302567i	0.988490	−	0.151284i	$-0.0483407\pi$
$602$	14.8199	+	305.517i	0.0246178	+	0.507504i
$603$		−	219.645i		−	0.364254i
$604$	56.9320	−	98.6090i	0.0942582	−	0.163260i
$605$	−25.4201	+	593.325i	−0.0420167	+	0.980703i
$606$	−144.835	−	250.861i	−0.239002	−	0.413963i
$607$	−302.032	+	523.135i	−0.497582	+	0.861837i	−0.999996	−	0.00278979i	$-0.999112\pi$
$607$	−302.032	+	523.135i	−0.497582	+	0.861837i	0.502414	+	0.864627i	$0.332445\pi$
$608$	5.31740			0.00874572
$609$	−43.2405	−	22.2445i	−0.0710025	−	0.0365262i
$610$	−169.381	−	107.713i	−0.277673	−	0.176579i
$611$	182.203	−	315.585i	0.298205	−	0.516505i
$612$	−45.5267	−	78.8545i	−0.0743900	−	0.128847i
$613$	273.015	−	157.625i	0.445375	−	0.257137i	−0.260500	−	0.965474i	$-0.583887\pi$
$613$	273.015	−	157.625i	0.445375	−	0.257137i	0.705875	+	0.708337i	$0.250554\pi$
$614$	715.304	+	412.981i	1.16499	+	0.672608i
$615$	135.905	−	213.712i	0.220983	−	0.347500i
$616$	−13.5134	+	26.2685i	−0.0219374	+	0.0426436i
$617$			374.734i			0.607348i	0.952776	+	0.303674i	$0.0982134\pi$
$617$			374.734i			0.607348i	−0.952776	+	0.303674i	$0.901787\pi$
$618$	−342.429	−	197.702i	−0.554093	−	0.319906i
$619$	452.789	−	261.418i	0.731485	−	0.422323i	−0.0874800	−	0.996166i	$-0.527881\pi$
$619$	452.789	−	261.418i	0.731485	−	0.422323i	0.818965	+	0.573843i	$0.194548\pi$
$620$	138.837	+	5.94826i	0.223930	+	0.00959396i
$621$	−173.376	−	100.099i	−0.279189	−	0.161190i
$622$	96.0295			0.154388
$623$	−338.467	+	16.4182i	−0.543285	+	0.0263534i
$624$	30.2990			0.0485560
$625$	−215.678	−	586.607i	−0.345085	−	0.938571i
$626$	−319.570	+	184.504i	−0.510495	+	0.294734i
$627$	−2.10373	+	1.21459i	−0.00335524	+	0.00193715i
$628$	106.262	−	184.051i	0.169207	−	0.293076i
$629$			398.565i			0.633649i
$630$	0.839314	+	148.490i	0.00133224	+	0.235698i
$631$	−201.304			−0.319024			−0.159512	−	0.987196i	$-0.550992\pi$
$631$	−201.304			−0.319024			−0.159512	+	0.987196i	$0.550992\pi$
$632$	131.575	+	75.9650i	0.208189	+	0.120198i
$633$	303.161	+	525.091i	0.478928	+	0.829527i
$634$	132.271	+	229.101i	0.208630	+	0.361358i
$635$	−451.428	−	865.461i	−0.710911	−	1.36293i
$636$			131.564i			0.206862i
$637$	−88.6804	+	195.080i	−0.139216	+	0.306248i
$638$		−	8.46266i		−	0.0132644i
$639$	−124.685	+	215.960i	−0.195125	+	0.337966i
$640$	56.5167	+	2.42137i	0.0883073	+	0.00378340i
$641$	−108.716	−	188.301i	−0.169603	−	0.293761i	0.768677	−	0.639637i	$-0.220915\pi$
$641$	−108.716	−	188.301i	−0.169603	−	0.293761i	−0.938280	+	0.345876i	$0.887582\pi$
$642$	−149.038	+	258.142i	−0.232147	+	0.402090i
$643$	−456.439			−0.709858			−0.354929	−	0.934893i	$-0.615495\pi$
$643$	−456.439			−0.709858			−0.354929	+	0.934893i	$0.615495\pi$
$644$	−292.012	−	453.512i	−0.453435	−	0.704211i
$645$	−143.590	+	225.797i	−0.222620	+	0.350073i
$646$	10.0868	−	17.4709i	0.0156142	−	0.0270447i
$647$	−166.283	−	288.011i	−0.257006	−	0.445148i	0.708432	−	0.705779i	$-0.249403\pi$
$647$	−166.283	−	288.011i	−0.257006	−	0.445148i	−0.965438	+	0.260631i	$0.916069\pi$
$648$	22.0454	−	12.7279i	0.0340207	−	0.0196419i
$649$	−107.457	−	62.0403i	−0.165573	−	0.0955936i
$650$	−140.025	+	65.5733i	−0.215424	+	0.100882i
$651$	168.287	−	8.16321i	0.258506	−	0.0125395i
$652$			402.167i			0.616821i
$653$	−13.4692	−	7.77647i	−0.0206267	−	0.0119088i	0.489651	−	0.871918i	$-0.337124\pi$
$653$	−13.4692	−	7.77647i	−0.0206267	−	0.0119088i	−0.510278	+	0.860010i	$0.670457\pi$
$654$	234.008	−	135.105i	0.357811	−	0.206582i
$655$	−74.4256	−	3.18865i	−0.113627	−	0.00486817i
$656$	−101.306	−	58.4890i	−0.154430	−	0.0891600i
$657$	398.937			0.607211
$658$	377.344	−	733.512i	0.573472	−	1.11476i
$659$	−1163.82			−1.76605			−0.883024	−	0.469329i	$-0.844496\pi$
$659$	−1163.82			−1.76605			−0.883024	+	0.469329i	$0.844496\pi$
$660$	−22.9129	+	11.9515i	−0.0347166	+	0.0181083i
$661$	−674.493	+	389.419i	−1.02041	+	0.589135i	−0.914223	−	0.405210i	$-0.867198\pi$
$661$	−674.493	+	389.419i	−1.02041	+	0.589135i	−0.106189	+	0.994346i	$0.533865\pi$
$662$	−352.154	+	203.316i	−0.531955	+	0.307124i
$663$	57.4755	−	99.5504i	0.0866900	−	0.150151i
$664$			218.277i			0.328730i
$665$	−28.3986	+	16.6106i	−0.0427046	+	0.0249784i
$666$	−111.427			−0.167308
$667$	133.821	+	77.2615i	0.200631	+	0.115834i
$668$	−280.306	−	485.504i	−0.419620	−	0.726803i
$669$	20.3022	+	35.1645i	0.0303472	+	0.0525628i
$670$	459.018	−	239.426i	0.685102	−	0.357352i
$671$		−	42.3545i		−	0.0631215i
$672$	68.5052	−	3.32302i	0.101942	−	0.00494497i
$673$			3.45967i			0.00514067i	0.999997	+	0.00257034i	$0.000818164\pi$
$673$			3.45967i			0.00514067i	−0.999997	+	0.00257034i	$0.999182\pi$
$674$	−177.859	+	308.060i	−0.263885	+	0.457063i
$675$	−74.3360	+	106.532i	−0.110127	+	0.157826i
$676$	−149.874	−	259.590i	−0.221708	−	0.384009i
$677$	−378.915	+	656.300i	−0.559697	+	0.969424i	0.437824	+	0.899061i	$0.355749\pi$
$677$	−378.915	+	656.300i	−0.559697	+	0.969424i	−0.997521	+	0.0703633i	$0.977584\pi$
$678$	517.196			0.762827
$679$	220.876	−	142.220i	0.325296	−	0.209455i
$680$	115.165	−	181.098i	0.169360	−	0.266321i
$681$	158.203	−	274.016i	0.232310	−	0.402372i
$682$	14.6610	+	25.3936i	0.0214971	+	0.0372340i
$683$	932.185	−	538.197i	1.36484	−	0.787990i	0.374575	−	0.927197i	$-0.377789\pi$
$683$	932.185	−	538.197i	1.36484	−	0.787990i	0.990263	+	0.139207i	$0.0444553\pi$
$684$	4.88434	+	2.81998i	0.00714085	+	0.00412277i
$685$	590.064	−	927.885i	0.861407	−	1.35458i
$686$	−179.109	+	450.797i	−0.261091	+	0.657139i
$687$			480.575i			0.699527i
$688$	107.034	+	61.7964i	0.155573	+	0.0898203i
$689$	−143.842	+	83.0471i	−0.208769	+	0.120533i
$690$	20.1980	−	471.438i	0.0292725	−	0.683243i
$691$	−883.259	−	509.950i	−1.27823	−	0.737988i	−0.301710	−	0.953400i	$-0.597557\pi$
$691$	−883.259	−	509.950i	−1.27823	−	0.737988i	−0.976523	+	0.215412i	$0.930891\pi$
$692$	2.55223			0.00368819
$693$	−26.3438	+	16.9625i	−0.0380142	+	0.0244770i
$694$	−159.625			−0.230007
$695$	−118.706	−	227.579i	−0.170800	−	0.327452i
$696$	−17.0158	+	9.82408i	−0.0244480	+	0.0141151i
$697$	−384.343	+	221.901i	−0.551425	+	0.318365i
$698$	−194.151	+	336.280i	−0.278154	+	0.481777i
$699$			251.784i			0.360206i
$700$	−309.402	+	163.617i	−0.442003	+	0.233738i
$701$	−626.367			−0.893533			−0.446767	−	0.894651i	$-0.647425\pi$
$701$	−626.367			−0.893533			−0.446767	+	0.894651i	$0.647425\pi$
$702$	27.8314	+	16.0685i	0.0396458	+	0.0228895i
$703$	−12.3438	−	21.3801i	−0.0175588	−	0.0304127i
$704$	5.96809	+	10.3370i	0.00847740	+	0.0146833i
$705$	639.813	−	333.729i	0.907536	−	0.473375i
$706$			592.669i			0.839474i
$707$	378.680	−	736.108i	0.535615	−	1.04117i
$708$			288.084i			0.406898i
$709$	42.2143	−	73.1174i	0.0595407	−	0.103127i	−0.834719	−	0.550677i	$-0.814370\pi$
$709$	42.2143	−	73.1174i	0.0595407	−	0.103127i	0.894259	+	0.447549i	$0.147703\pi$
$710$	−587.231	−	25.1590i	−0.827085	−	0.0354352i
$711$	80.5730	+	139.557i	0.113324	+	0.196282i
$712$	−68.4610	+	118.578i	−0.0961531	+	0.166542i
$713$	−535.401			−0.750914
$714$	119.032	−	231.384i	0.166712	−	0.324068i
$715$	−27.5301	−	17.5070i	−0.0385036	−	0.0244854i
$716$	−174.794	+	302.751i	−0.244125	+	0.422837i
$717$	252.996	+	438.201i	0.352853	+	0.611159i
$718$	−570.200	+	329.205i	−0.794151	+	0.458503i
$719$	−410.094	−	236.768i	−0.570368	−	0.329302i	0.186929	−	0.982374i	$-0.440147\pi$
$719$	−410.094	−	236.768i	−0.570368	−	0.329302i	−0.757296	+	0.653072i	$0.773480\pi$
$720$	50.6298	+	32.1967i	0.0703191	+	0.0447176i
$721$	−54.7472	−	1128.63i	−0.0759324	−	1.56537i
$722$		−	509.282i		−	0.705376i
$723$	490.694	+	283.303i	0.678692	+	0.391843i
$724$	57.4125	−	33.1471i	0.0792990	−	0.0457833i
$725$	57.3765	−	82.2274i	0.0791400	−	0.113417i
$726$	251.957	+	145.468i	0.347049	+	0.200369i
$727$	387.172			0.532561			0.266280	−	0.963896i	$-0.414205\pi$
$727$	387.172			0.532561			0.266280	+	0.963896i	$0.414205\pi$
$728$	46.8755	+	72.8005i	0.0643895	+	0.100001i
$729$	27.0000			0.0370370
$730$	434.865	+	833.706i	0.595705	+	1.14206i
$731$	406.077	−	234.448i	0.555508	−	0.320723i
$732$	−85.1619	+	49.1682i	−0.116341	+	0.0671697i
$733$	−32.1634	+	55.7087i	−0.0438791	+	0.0760009i	−0.887131	−	0.461518i	$-0.847305\pi$
$733$	−32.1634	+	55.7087i	−0.0438791	+	0.0760009i	0.843252	+	0.537519i	$0.180638\pi$
$734$			93.1770i			0.126944i
$735$	−355.484	+	231.746i	−0.483652	+	0.315300i
$736$	−217.947			−0.296124
$737$	94.6034	+	54.6193i	0.128363	+	0.0741103i
$738$	−62.0369	−	107.451i	−0.0840609	−	0.145598i
$739$	−19.0221	−	32.9472i	−0.0257403	−	0.0445835i	0.852868	−	0.522126i	$-0.174861\pi$
$739$	−19.0221	−	32.9472i	−0.0257403	−	0.0445835i	−0.878609	+	0.477543i	$0.841528\pi$
$740$	−121.462	−	232.862i	−0.164138	−	0.314679i
$741$			7.12020i			0.00960890i
$742$	−316.114	+	203.543i	−0.426030	+	0.274317i
$743$			569.146i			0.766011i	0.923746	+	0.383005i	$0.125111\pi$
$743$			569.146i			0.766011i	−0.923746	+	0.383005i	$0.874889\pi$
$744$	34.0391	−	58.9575i	0.0457515	−	0.0792439i
$745$	−1.79283	+	41.8461i	−0.00240649	+	0.0561692i
$746$	−358.146	−	620.327i	−0.480088	−	0.831537i
$747$	−115.759	+	200.500i	−0.154965	+	0.268407i
$748$	45.2846			0.0605408
$749$	−850.825	+	41.2715i	−1.13595	+	0.0551021i
$750$	−303.664	−	39.2222i	−0.404885	−	0.0522962i
$751$	−163.504	+	283.196i	−0.217714	+	0.377092i	−0.954109	−	0.299460i	$-0.903193\pi$
$751$	−163.504	+	283.196i	−0.217714	+	0.377092i	0.736394	+	0.676552i	$0.236527\pi$
$752$	−166.651	−	288.648i	−0.221610	−	0.383841i
$753$	521.325	−	300.987i	0.692331	−	0.399718i
$754$	−21.4817	−	12.4025i	−0.0284904	−	0.0164489i
$755$	240.204	+	152.752i	0.318151	+	0.202320i
$756$	64.6883	+	33.2780i	0.0855665	+	0.0440185i
$757$			1012.48i			1.33749i	0.743491	+	0.668746i	$0.233169\pi$
$757$			1012.48i			1.33749i	−0.743491	+	0.668746i	$0.766831\pi$
$758$	−896.022	−	517.319i	−1.18209	−	0.682478i
$759$	86.2271	−	49.7832i	0.113606	−	0.0655905i
$760$	−0.569018	+	13.2813i	−0.000748708	+	0.0174754i
$761$	308.482	+	178.102i	0.405365	+	0.234037i	0.688796	−	0.724955i	$-0.258140\pi$
$761$	308.482	+	178.102i	0.405365	+	0.234037i	−0.283432	+	0.958992i	$0.591473\pi$
$762$	−478.199			−0.627558
$763$	686.655	+	353.240i	0.899941	+	0.462962i
$764$	−399.087			−0.522365
$765$	201.827	−	105.274i	0.263827	−	0.137613i
$766$	−141.615	+	81.7615i	−0.184876	+	0.106738i
$767$	−314.968	+	181.847i	−0.410649	+	0.237088i
$768$	13.8564	−	24.0000i	0.0180422	−	0.0312500i
$769$		−	190.401i		−	0.247595i	−0.992307	−	0.123798i	$-0.960493\pi$
$769$		−	190.401i		−	0.247595i	0.992307	−	0.123798i	$-0.0395074\pi$
$770$	−64.1649	−	36.5636i	−0.0833310	−	0.0474852i
$771$	702.613			0.911300
$772$	−161.147	−	93.0381i	−0.208739	−	0.120516i
$773$	−286.932	−	496.980i	−0.371193	−	0.642924i	0.618557	−	0.785740i	$-0.287718\pi$
$773$	−286.932	−	496.980i	−0.371193	−	0.642924i	−0.989749	+	0.142816i	$0.954384\pi$
$774$	65.5449	+	113.527i	0.0846834	+	0.146676i
$775$	−29.7140	+	346.137i	−0.0383407	+	0.446629i
$776$		−	106.148i		−	0.136789i
$777$	−172.389	−	267.730i	−0.221865	−	0.344569i
$778$			512.414i			0.658630i
$779$	13.7448	−	23.8067i	0.0176441	−	0.0305606i
$780$	−3.24231	+	75.6780i	−0.00415681	+	0.0970231i
$781$	−62.0108	−	107.406i	−0.0793993	−	0.137524i
$782$	−413.434	+	716.089i	−0.528688	+	0.915714i
$783$	−20.8400			−0.0266156
$784$	113.969	+	159.459i	0.145368	+	0.203391i
$785$	448.336	+	285.107i	0.571128	+	0.363194i
$786$	−18.2472	+	31.6051i	−0.0232153	+	0.0402100i
$787$	476.391	+	825.133i	0.605325	+	1.04845i	0.992000	+	0.126238i	$0.0402901\pi$
$787$	476.391	+	825.133i	0.605325	+	1.04845i	−0.386675	+	0.922216i	$0.626377\pi$
$788$	373.637	−	215.720i	0.474159	−	0.273756i
$789$	71.7948	+	41.4507i	0.0909947	+	0.0525358i
$790$	−203.818	+	320.508i	−0.257998	+	0.405706i
$791$	800.155	+	1242.69i	1.01157	+	1.57103i
$792$			12.6602i			0.0159851i
$793$	−107.513	−	62.0728i	−0.135578	−	0.0782759i
$794$	820.184	−	473.533i	1.03298	−	0.596389i
$795$	−328.609	−	14.0788i	−0.413345	−	0.0177091i
$796$	355.139	+	205.040i	0.446155	+	0.257587i
$797$	−225.212			−0.282575			−0.141288	−	0.989969i	$-0.545124\pi$
$797$	−225.212			−0.282575			−0.141288	+	0.989969i	$0.545124\pi$
$798$	0.780903	+	16.0986i	0.000978575	+	0.0201737i
$799$	−1264.51			−1.58262
$800$	−12.0958	+	140.903i	−0.0151197	+	0.176129i
$801$	−125.771	+	72.6138i	−0.157017	+	0.0906540i
$802$	−528.285	+	305.005i	−0.658709	+	0.380306i
$803$	−99.2040	+	171.826i	−0.123542	+	0.213980i
$804$		−	253.624i		−	0.315453i
$805$	1163.99	−	680.830i	1.44595	−	0.845752i
$806$	85.9459			0.106633
$807$	465.676	+	268.858i	0.577046	+	0.333158i
$808$	−167.241	−	289.670i	−0.206981	−	0.358502i
$809$	717.440	+	1242.64i	0.886824	+	1.53602i	0.843609	+	0.536958i	$0.180426\pi$
$809$	717.440	+	1242.64i	0.886824	+	1.53602i	0.0432143	+	0.999066i	$0.486240\pi$
$810$	29.4315	+	56.4250i	0.0363352	+	0.0696605i
$811$		−	300.740i		−	0.370827i	−0.982661	−	0.185413i	$-0.940638\pi$
$811$		−	300.740i		−	0.370827i	0.982661	−	0.185413i	$-0.0593624\pi$
$812$	−49.9299	−	25.6857i	−0.0614900	−	0.0316326i
$813$			601.737i			0.740144i
$814$	27.7087	−	47.9928i	0.0340401	−	0.0589592i
$815$	−1004.50	−	43.0362i	−1.23251	−	0.0528051i
$816$	−52.5697	−	91.0533i	−0.0644236	−	0.111585i
$817$	−14.5220	+	25.1529i	−0.0177748	+	0.0307869i
$818$	353.628			0.432308
$819$	4.44965	+	91.7310i	0.00543303	+	0.112004i
$820$	156.929	−	246.774i	0.191377	−	0.300944i
$821$	614.936	−	1065.10i	0.749009	−	1.29732i	−0.199290	−	0.979941i	$-0.563863\pi$
$821$	614.936	−	1065.10i	0.749009	−	1.29732i	0.948298	−	0.317381i	$-0.102803\pi$
$822$	−269.349	−	466.526i	−0.327675	−	0.567550i
$823$	−315.095	+	181.920i	−0.382862	+	0.221045i	−0.679063	−	0.734080i	$-0.737614\pi$
$823$	−315.095	+	181.920i	−0.382862	+	0.221045i	0.296201	+	0.955126i	$0.404280\pi$
$824$	−395.403	−	228.286i	−0.479858	−	0.277046i
$825$	−27.3994	−	58.5087i	−0.0332114	−	0.0709197i
$826$	−692.190	+	445.694i	−0.838002	+	0.539581i
$827$		−	429.312i		−	0.519120i	−0.965727	−	0.259560i	$-0.916422\pi$
$827$		−	429.312i		−	0.519120i	0.965727	−	0.259560i	$-0.0835776\pi$
$828$	−200.197	−	115.584i	−0.241784	−	0.139594i
$829$	611.075	−	352.804i	0.737123	−	0.425578i	−0.0838993	−	0.996474i	$-0.526737\pi$
$829$	611.075	−	352.804i	0.737123	−	0.425578i	0.821022	+	0.570896i	$0.193404\pi$
$830$	−545.192	−	23.3579i	−0.656858	−	0.0281421i
$831$	451.422	+	260.629i	0.543228	+	0.313633i
$832$	34.9862			0.0420508
$833$	740.111	−	71.9713i	0.888488	−	0.0864002i
$834$	−125.746			−0.150774
$835$	1242.64	−	648.169i	1.48820	−	0.776250i
$836$	−2.42918	+	1.40249i	−0.00290572	+	0.00167762i
$837$	62.5339	−	36.1039i	0.0747119	−	0.0431349i
$838$	281.773	−	488.045i	0.336244	−	0.582392i
$839$		−	392.374i		−	0.467668i	−0.972276	−	0.233834i	$-0.924873\pi$
$839$		−	392.374i		−	0.467668i	0.972276	−	0.233834i	$-0.0751273\pi$
$840$	0.969156	+	171.462i	0.00115376	+	0.204121i
$841$	−824.915			−0.980873
$842$	323.974	+	187.047i	0.384767	+	0.222146i
$843$	−268.004	−	464.197i	−0.317917	−	0.550649i
$844$	350.060	+	606.322i	0.414764	+	0.718391i
$845$	664.419	−	346.564i	0.786294	−	0.410135i
$846$		−	353.520i		−	0.417873i
$847$	40.2827	+	830.441i	0.0475592	+	0.980449i
$848$			151.917i			0.179148i
$849$	171.737	−	297.457i	0.202281	−	0.350361i
$850$	440.007	+	307.027i	0.517655	+	0.361209i
$851$	505.943	+	876.319i	0.594528	+	1.02975i
$852$	−143.973	+	249.369i	−0.168983	+	0.292687i
$853$	−1113.97			−1.30594			−0.652970	−	0.757384i	$-0.726477\pi$
$853$	−1113.97			−1.30594			−0.652970	+	0.757384i	$0.726477\pi$
$854$	−249.892	−	128.553i	−0.292614	−	0.150531i
$855$	−7.56615	+	11.8979i	−0.00884930	+	0.0139157i
$856$	−172.095	+	298.077i	−0.201045	+	0.348220i
$857$	−559.504	−	969.090i	−0.652864	−	1.13079i	−0.982425	−	0.186659i	$-0.940234\pi$
$857$	−559.504	−	969.090i	−0.652864	−	1.13079i	0.329561	−	0.944134i	$-0.393099\pi$
$858$	−13.8417	+	7.99150i	−0.0161325	+	0.00931411i
$859$	298.053	+	172.081i	0.346976	+	0.200327i	0.663353	−	0.748307i	$-0.269133\pi$
$859$	298.053	+	172.081i	0.346976	+	0.200327i	−0.316376	+	0.948634i	$0.602466\pi$
$860$	−165.803	+	260.728i	−0.192794	+	0.303172i
$861$	162.200	−	315.296i	0.188385	−	0.366198i
$862$		−	39.5224i		−	0.0458496i
$863$	1250.55	+	722.003i	1.44907	+	0.836620i	0.998426	−	0.0560845i	$-0.0178616\pi$
$863$	1250.55	+	722.003i	1.44907	+	0.836620i	0.450642	+	0.892705i	$0.351195\pi$
$864$	25.4558	−	14.6969i	0.0294628	−	0.0170103i
$865$	−0.273116	+	6.37472i	−0.000315741	+	0.00736962i
$866$	781.517	+	451.209i	0.902445	+	0.521027i
$867$	101.676			0.117273
$868$	194.321	−	9.42606i	0.223872	−	0.0108595i
$869$	−80.1446			−0.0922262
$870$	−22.7168	−	43.5518i	−0.0261113	−	0.0500596i
$871$	277.293	−	160.095i	0.318361	−	0.183806i
$872$	270.209	−	156.005i	0.309873	−	0.178905i
$873$	56.2935	−	97.5032i	0.0644828	−	0.111688i
$874$		−	51.2172i		−	0.0586009i
$875$	−375.558	−	790.305i	−0.429209	−	0.903205i
$876$	460.653			0.525860
$877$	−1071.33	−	618.534i	−1.22159	−	0.705283i	−0.256331	−	0.966589i	$-0.582514\pi$
$877$	−1071.33	−	618.534i	−1.22159	−	0.705283i	−0.965256	+	0.261306i	$0.915847\pi$
$878$	−388.863	−	673.531i	−0.442897	−	0.767119i
$879$	−34.4383	−	59.6490i	−0.0391790	−	0.0678600i
$880$	−26.4576	+	13.8004i	−0.0300654	+	0.0156823i
$881$		−	86.6822i		−	0.0983907i	−0.998789	−	0.0491954i	$-0.984334\pi$
$881$		−	86.6822i		−	0.0983907i	0.998789	−	0.0491954i	$-0.0156657\pi$
$882$	20.1211	+	206.913i	0.0228130	+	0.234596i
$883$		−	662.838i		−	0.750666i	−0.926890	−	0.375333i	$-0.877528\pi$
$883$		−	662.838i		−	0.750666i	0.926890	−	0.375333i	$-0.122472\pi$
$884$	66.3669	−	114.951i	0.0750757	−	0.130035i
$885$	−719.549	−	30.8280i	−0.813050	−	0.0348339i
$886$	110.953	+	192.176i	0.125229	+	0.216903i
$887$	−689.882	+	1194.91i	−0.777770	+	1.34714i	0.155455	+	0.987843i	$0.450316\pi$
$887$	−689.882	+	1194.91i	−0.777770	+	1.34714i	−0.933225	+	0.359294i	$0.883018\pi$
$888$	−128.665			−0.144893
$889$	−739.822	−	1148.99i	−0.832196	−	1.29245i
$890$	−288.847	−	183.685i	−0.324547	−	0.206387i
$891$	−6.71410	+	11.6292i	−0.00753547	+	0.0130518i
$892$	23.4430	+	40.6045i	0.0262814	+	0.0455207i
$893$	67.8317	−	39.1627i	0.0759594	−	0.0438552i
$894$	17.7701	+	10.2596i	0.0198770	+	0.0114760i
$895$	−737.480	−	468.981i	−0.824000	−	0.524001i
$896$	79.1030	−	3.83709i	0.0882845	−	0.00428247i
$897$		−	291.840i		−	0.325351i
$898$	210.554	+	121.563i	0.234470	+	0.135371i
$899$	−48.2669	+	27.8669i	−0.0536896	+	0.0309977i
$900$	−85.8358	+	123.013i	−0.0953732	+	0.136681i
$901$	499.140	+	288.178i	0.553984	+	0.319843i
$902$	61.7070			0.0684113
$903$	−171.371	+	333.125i	−0.189780	+	0.368909i
$904$	597.207			0.660627
$905$	76.6480	+	146.947i	0.0846940	+	0.162372i
$906$	120.771	−	69.7271i	0.133301	−	0.0769615i
$907$	854.635	−	493.424i	0.942266	−	0.544018i	0.0515961	−	0.998668i	$-0.483569\pi$
$907$	854.635	−	493.424i	0.942266	−	0.544018i	0.890670	+	0.454650i	$0.150236\pi$
$908$	182.677	−	316.406i	0.201186	−	0.348465i
$909$		−	354.772i		−	0.390288i
$910$	−186.851	+	109.291i	−0.205330	+	0.120100i
$911$	−127.888			−0.140382			−0.0701911	−	0.997534i	$-0.522361\pi$
$911$	−127.888			−0.140382			−0.0701911	+	0.997534i	$0.522361\pi$
$912$	5.63995	+	3.25623i	0.00618416	+	0.00357042i
$913$	−57.5716	−	99.7169i	−0.0630576	−	0.109219i
$914$	−517.830	−	896.908i	−0.566553	−	0.981299i
$915$	−113.695	−	217.971i	−0.124256	−	0.238220i
$916$			554.921i			0.605808i
$917$	−104.169	+	5.05298i	−0.113598	+	0.00551034i
$918$		−	111.517i		−	0.121478i
$919$	−189.428	+	328.099i	−0.206124	+	0.357017i	−0.950490	−	0.310755i	$-0.899418\pi$
$919$	−189.428	+	328.099i	−0.206124	+	0.357017i	0.744366	+	0.667771i	$0.232752\pi$
$920$	23.3227	−	544.369i	0.0253507	−	0.591706i
$921$	505.797	+	876.065i	0.549182	+	0.951211i
$922$	448.318	−	776.509i	0.486245	−	0.842201i
$923$	−363.521			−0.393847
$924$	−30.4192	+	19.5867i	−0.0329212	+	0.0211977i
$925$	594.620	−	278.458i	0.642832	−	0.301036i
$926$	387.520	−	671.205i	0.418488	−	0.724843i
$927$	−242.134	−	419.389i	−0.261202	−	0.452415i
$928$	−19.6482	+	11.3439i	−0.0211726	+	0.0122240i
$929$	−84.8538	−	48.9904i	−0.0913389	−	0.0527345i	0.453635	−	0.891188i	$-0.350127\pi$
$929$	−84.8538	−	48.9904i	−0.0913389	−	0.0527345i	−0.544974	+	0.838453i	$0.683460\pi$
$930$	143.616	+	91.3289i	0.154426	+	0.0982031i
$931$	−37.4725	+	26.7824i	−0.0402497	+	0.0287674i
$932$			290.735i			0.311947i
$933$	101.855	+	58.8058i	0.109169	+	0.0630287i
$934$	718.122	−	414.608i	0.768868	−	0.443906i
$935$	−4.84593	+	113.108i	−0.00518281	+	0.120971i
$936$	32.1369	+	18.5543i	0.0343343	+	0.0198229i
$937$	−143.793			−0.153461			−0.0767305	−	0.997052i	$-0.524448\pi$
$937$	−143.793			−0.153461			−0.0767305	+	0.997052i	$0.524448\pi$
$938$	609.393	−	392.382i	0.649673	−	0.418318i
$939$	−451.940			−0.481299
$940$	738.792	−	385.357i	0.785949	−	0.409955i
$941$	−1054.52	+	608.830i	−1.12064	+	0.647003i	−0.941565	−	0.336831i	$-0.890645\pi$
$941$	−1054.52	+	608.830i	−1.12064	+	0.647003i	−0.179078	+	0.983835i	$0.557311\pi$
$942$	225.416	−	130.144i	0.239295	−	0.138157i
$943$	−563.366	+	975.779i	−0.597419	+	1.03476i
$944$			332.650i			0.352384i
$945$	−90.0410	+	158.011i	−0.0952815	+	0.167208i
$946$	−65.1964			−0.0689179
$947$	138.985	+	80.2429i	0.146763	+	0.0847338i	0.571583	−	0.820544i	$-0.306329\pi$
$947$	138.985	+	80.2429i	0.146763	+	0.0847338i	−0.424820	+	0.905278i	$0.639663\pi$
$948$	93.0377	+	161.146i	0.0981411	+	0.169985i
$949$	290.777	+	503.641i	0.306404	+	0.530707i
$950$	−33.1119	−	2.84248i	−0.0348547	−	0.00299209i
$951$			323.997i			0.340691i
$952$	137.447	−	267.180i	0.144377	−	0.280651i
$953$		−	1220.18i		−	1.28036i	−0.768226	−	0.640178i	$-0.778860\pi$
$953$		−	1220.18i		−	1.28036i	0.768226	−	0.640178i	$-0.221140\pi$
$954$	−80.5663	+	139.545i	−0.0844510	+	0.146273i
$955$	42.7065	−	996.803i	0.0447189	−	1.04377i
$956$	292.134	+	505.991i	0.305580	+	0.529280i
$957$	5.18230	−	8.97601i	0.00541515	−	0.00937932i
$958$	251.641			0.262674
$959$	704.229	−	1368.94i	0.734337	−	1.42746i
$960$	58.4622	+	37.1775i	0.0608982	+	0.0387266i
$961$	−383.945	+	665.012i	−0.399526	+	0.692000i
$962$	−81.2171	−	140.672i	−0.0844252	−	0.146229i
$963$	−316.158	+	182.534i	−0.328305	+	0.189547i
$964$	566.605	+	327.130i	0.587765	+	0.339346i
$965$	249.627	−	392.542i	0.258680	−	0.406779i
$966$	−32.0073	−	659.842i	−0.0331339	−	0.683066i
$967$		−	1217.51i		−	1.25906i	−0.776976	−	0.629530i	$-0.783247\pi$
$967$		−	1217.51i		−	1.25906i	0.776976	−	0.629530i	$-0.216753\pi$
$968$	290.935	+	167.972i	0.300553	+	0.173524i
$969$	21.3973	−	12.3538i	0.0220819	−	0.0127490i
$970$	265.127	+	11.3590i	0.273327	+	0.0117103i
$971$	1056.19	+	609.790i	1.08773	+	0.628003i	0.932972	−	0.359949i	$-0.117206\pi$
$971$	1056.19	+	609.790i	1.08773	+	0.628003i	0.154760	+	0.987952i	$0.450539\pi$
$972$	31.1769			0.0320750
$973$	−194.541	−	302.134i	−0.199940	−	0.310518i
$974$	−63.2502			−0.0649386
$975$	−188.675	−	16.1967i	−0.193512	−	0.0166120i
$976$	−98.3365	+	56.7746i	−0.100755	+	0.0581707i
$977$	299.875	−	173.133i	0.306934	−	0.177209i	−0.338620	−	0.940923i	$-0.609960\pi$
$977$	299.875	−	173.133i	0.306934	−	0.177209i	0.645554	+	0.763715i	$0.276627\pi$
$978$	−246.276	+	426.563i	−0.251816	+	0.436158i
$979$		−	72.2277i		−	0.0737770i
$980$	−410.478	+	267.597i	−0.418855	+	0.273058i
$981$	330.937			0.337347
$982$	1034.97	+	597.541i	1.05394	+	0.608494i
$983$	422.416	+	731.645i	0.429721	+	0.744298i	0.996848	−	0.0793318i	$-0.0252787\pi$
$983$	422.416	+	731.645i	0.429721	+	0.744298i	−0.567127	+	0.823630i	$0.691945\pi$
$984$	−71.6341	−	124.074i	−0.0727989	−	0.126091i
$985$	498.822	+	956.322i	0.506418	+	0.970885i
$986$			86.0748i			0.0872969i
$987$	849.417	−	546.931i	0.860605	−	0.554135i
$988$			8.22170i			0.00832155i
$989$	595.223	−	1030.96i	0.601843	−	1.04242i
$990$	−31.6216	−	1.35478i	−0.0319410	−	0.00136846i
$991$	86.8117	+	150.362i	0.0876001	+	0.151728i	0.906496	−	0.422214i	$-0.138747\pi$
$991$	86.8117	+	150.362i	0.0876001	+	0.151728i	−0.818896	+	0.573942i	$0.805414\pi$
$992$	39.3050	−	68.0782i	0.0396220	−	0.0686273i
$993$	−498.021			−0.501532
$994$	−821.911	+	39.8689i	−0.826872	+	0.0401096i
$995$	−550.133	+	865.092i	−0.552897	+	0.869440i
$996$	−133.667	+	231.517i	−0.134203	+	0.232447i
$997$	−529.776	−	917.599i	−0.531370	−	0.920360i	−0.999330	−	0.0366104i	$-0.988344\pi$
$997$	−529.776	−	917.599i	−0.531370	−	0.920360i	0.467959	−	0.883750i	$-0.344989\pi$
$998$	−1148.42	+	663.040i	−1.15072	+	0.664369i
$999$	−118.186	−	68.2349i	−0.118305	−	0.0683033i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.3.p.a.19.13	yes	32
3.2	odd	2		630.3.bc.b.19.6		32
5.2	odd	4		1050.3.p.h.901.2		16
5.3	odd	4		1050.3.p.g.901.7		16
5.4	even	2	inner	210.3.p.a.19.2	✓	32
7.2	even	3		1470.3.h.a.979.23		32
7.3	odd	6	inner	210.3.p.a.199.2	yes	32
7.5	odd	6		1470.3.h.a.979.21		32
15.14	odd	2		630.3.bc.b.19.14		32
21.17	even	6		630.3.bc.b.199.14		32
35.3	even	12		1050.3.p.g.451.7		16
35.9	even	6		1470.3.h.a.979.22		32
35.17	even	12		1050.3.p.h.451.2		16
35.19	odd	6		1470.3.h.a.979.24		32
35.24	odd	6	inner	210.3.p.a.199.13	yes	32
105.59	even	6		630.3.bc.b.199.6		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.3.p.a.19.2	✓	32	5.4	even	2	inner
210.3.p.a.19.13	yes	32	1.1	even	1	trivial
210.3.p.a.199.2	yes	32	7.3	odd	6	inner
210.3.p.a.199.13	yes	32	35.24	odd	6	inner
630.3.bc.b.19.6		32	3.2	odd	2
630.3.bc.b.19.14		32	15.14	odd	2
630.3.bc.b.199.6		32	105.59	even	6
630.3.bc.b.199.14		32	21.17	even	6
1050.3.p.g.451.7		16	35.3	even	12
1050.3.p.g.901.7		16	5.3	odd	4
1050.3.p.h.451.2		16	35.17	even	12
1050.3.p.h.901.2		16	5.2	odd	4
1470.3.h.a.979.21		32	7.5	odd	6
1470.3.h.a.979.22		32	35.9	even	6
1470.3.h.a.979.23		32	7.2	even	3
1470.3.h.a.979.24		32	35.19	odd	6

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:	\( N \)	\(=\)	\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	210.p (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.22474 + 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-4.43317 + 2.31236i) q^{5} +2.44949i q^{6} +(-5.88548 + 3.78961i) q^{7} +2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +O(q^{10})\)	\(q+(1.22474 + 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-4.43317 + 2.31236i) q^{5} +2.44949i q^{6} +(-5.88548 + 3.78961i) q^{7} +2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +(-7.06459 - 0.302672i) q^{10} +(-0.746012 - 1.29213i) q^{11} +(-1.73205 + 3.00000i) q^{12} -4.37328 q^{13} +(-9.88787 + 0.479637i) q^{14} +(-7.30778 - 4.64719i) q^{15} +(-2.00000 + 3.46410i) q^{16} +(7.58778 + 13.1424i) q^{17} +(-3.67423 + 2.12132i) q^{18} +(-0.814057 - 0.469996i) q^{19} +(-8.43830 - 5.36611i) q^{20} +(-10.7814 - 5.54633i) q^{21} -2.11004i q^{22} +(33.3662 + 19.2640i) q^{23} +(-4.24264 + 2.44949i) q^{24} +(14.3060 - 20.5022i) q^{25} +(-5.35615 - 3.09238i) q^{26} -5.19615 q^{27} +(-12.4493 - 6.40435i) q^{28} +4.01067 q^{29} +(-5.66410 - 10.8590i) q^{30} +(-12.0346 + 6.94821i) q^{31} +(-4.89898 + 2.82843i) q^{32} +(1.29213 - 2.23803i) q^{33} +21.4615i q^{34} +(17.3284 - 30.4093i) q^{35} -6.00000 q^{36} +(22.7450 + 13.1318i) q^{37} +(-0.664675 - 1.15125i) q^{38} +(-3.78737 - 6.55992i) q^{39} +(-6.54034 - 12.5389i) q^{40} +29.2445i q^{41} +(-9.28260 - 14.4164i) q^{42} -30.8982i q^{43} +(1.49202 - 2.58426i) q^{44} +(0.642064 - 14.9863i) q^{45} +(27.2434 + 47.1870i) q^{46} +(-41.6628 + 72.1620i) q^{47} -6.92820 q^{48} +(20.2778 - 44.6073i) q^{49} +(32.0184 - 14.9941i) q^{50} +(-13.1424 + 22.7633i) q^{51} +(-4.37328 - 7.57474i) q^{52} +(32.8910 - 18.9897i) q^{53} +(-6.36396 - 3.67423i) q^{54} +(6.29507 + 4.00318i) q^{55} +(-10.7186 - 16.6467i) q^{56} -1.62811i q^{57} +(4.91204 + 2.83597i) q^{58} +(72.0209 - 41.5813i) q^{59} +(0.741391 - 17.3046i) q^{60} +(24.5841 + 14.1936i) q^{61} -19.6525 q^{62} +(-1.01746 - 20.9753i) q^{63} -8.00000 q^{64} +(19.3875 - 10.1126i) q^{65} +(3.16506 - 1.82735i) q^{66} +(-63.4061 + 36.6075i) q^{67} +(-15.1756 + 26.2848i) q^{68} +66.7325i q^{69} +(42.7255 - 24.9906i) q^{70} +83.1231 q^{71} +(-7.34847 - 4.24264i) q^{72} +(-66.4896 - 115.163i) q^{73} +(18.5712 + 32.1663i) q^{74} +(43.1426 + 3.70356i) q^{75} -1.87998i q^{76} +(9.28730 + 4.77772i) q^{77} -10.7123i q^{78} +(26.8577 - 46.5189i) q^{79} +(0.856085 - 19.9817i) q^{80} +(-4.50000 - 7.79423i) q^{81} +(-20.6790 + 35.8170i) q^{82} +77.1725 q^{83} +(-1.17487 - 24.2202i) q^{84} +(-64.0279 - 40.7169i) q^{85} +(21.8483 - 37.8424i) q^{86} +(3.47334 + 6.01600i) q^{87} +(3.65470 - 2.11004i) q^{88} +(41.9236 + 24.2046i) q^{89} +(11.3832 - 17.9003i) q^{90} +(25.7389 - 16.5730i) q^{91} +77.0560i q^{92} +(-20.8446 - 12.0346i) q^{93} +(-102.053 + 58.9201i) q^{94} +(4.69565 + 0.201178i) q^{95} +(-8.48528 - 4.89898i) q^{96} -37.5290 q^{97} +(56.3772 - 40.2940i) q^{98} +4.47607 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9}+O(q^{10}) \) 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9	\( 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9} - 24 q^{10} + 48 q^{11} - 16 q^{14} + 24 q^{15} - 64 q^{16} + 48 q^{19} - 24 q^{21} + 72 q^{25} + 96 q^{26} + 176 q^{29} - 24 q^{30} - 48 q^{31} + 68 q^{35} - 192 q^{36} - 72 q^{39} - 48 q^{40} - 96 q^{44} - 36 q^{45} + 32 q^{46} - 272 q^{49} + 192 q^{50} - 24 q^{51} - 64 q^{56} + 744 q^{59} + 24 q^{60} - 672 q^{61} - 256 q^{64} + 172 q^{65} + 320 q^{70} - 144 q^{71} - 416 q^{74} - 144 q^{75} + 128 q^{79} - 48 q^{80} - 144 q^{81} - 96 q^{84} - 736 q^{85} + 304 q^{86} - 48 q^{89} + 976 q^{91} + 528 q^{94} + 236 q^{95} - 288 q^{99}+O(q^{100}) \) 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9 - 24 * q^10 + 48 * q^11 - 16 * q^14 + 24 * q^15 - 64 * q^16 + 48 * q^19 - 24 * q^21 + 72 * q^25 + 96 * q^26 + 176 * q^29 - 24 * q^30 - 48 * q^31 + 68 * q^35 - 192 * q^36 - 72 * q^39 - 48 * q^40 - 96 * q^44 - 36 * q^45 + 32 * q^46 - 272 * q^49 + 192 * q^50 - 24 * q^51 - 64 * q^56 + 744 * q^59 + 24 * q^60 - 672 * q^61 - 256 * q^64 + 172 * q^65 + 320 * q^70 - 144 * q^71 - 416 * q^74 - 144 * q^75 + 128 * q^79 - 48 * q^80 - 144 * q^81 - 96 * q^84 - 736 * q^85 + 304 * q^86 - 48 * q^89 + 976 * q^91 + 528 * q^94 + 236 * q^95 - 288 * q^99

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