LMFDB - Embedded newform 64.10.i.a.5.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [64,10,Mod(5,64)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("64.5"); S:= CuspForms(chi, 10); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(64, base_ring=CyclotomicField(16)) chi = DirichletCharacter(H, H._module([0, 1])) N = Newforms(chi, 10, names="a")

Level:	$ N $	$=$	$ 64 = 2^{6} $
Weight:	$ k $	$=$	$ 10 $
Character orbit:	$[\chi]$	$=$	64.i (of order $16$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$32.9622935145$
Analytic rank:	$0$
Dimension:	$568$
Relative dimension:	$71$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			5.2
Character	$\chi$	$=$	64.5
Dual form			64.10.i.a.13.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-22.6240 - 0.390747i) q^{2} +(0.460275 + 0.307546i) q^{3} +(511.695 + 17.6806i) q^{4} +(2016.41 + 401.089i) q^{5} +(-10.2931 - 7.13779i) q^{6} +(-2239.91 + 5407.61i) q^{7} +(-11569.7 - 599.949i) q^{8} +(-7532.24 - 18184.4i) q^{9} +(-45462.6 - 9862.16i) q^{10} +(-24336.5 - 36422.1i) q^{11} +(230.083 + 165.508i) q^{12} +(-38936.0 + 7744.86i) q^{13} +(52788.8 - 121467. i) q^{14} +(804.750 + 804.750i) q^{15} +(261519. + 18094.1i) q^{16} +(-93782.7 + 93782.7i) q^{17} +(163304. + 414349. i) q^{18} +(-6548.49 - 32921.5i) q^{19} +(1.02469e6 + 240886. i) q^{20} +(-2694.07 + 1800.12i) q^{21} +(536357. + 833524. i) q^{22} +(-1.85914e6 + 770080. i) q^{23} +(-5140.73 - 3834.36i) q^{24} +(2.10058e6 + 870090. i) q^{25} +(883917. - 160006. i) q^{26} +(4251.33 - 21372.9i) q^{27} +(-1.24176e6 + 2.72744e6i) q^{28} +(2.66143e6 - 3.98312e6i) q^{29} +(-17892.3 - 18521.2i) q^{30} -6.83468e6i q^{31} +(-5.90954e6 - 511550. i) q^{32} -24248.8i q^{33} +(2.15839e6 - 2.08510e6i) q^{34} +(-6.68551e6 + 1.00056e7i) q^{35} +(-3.53270e6 - 9.43805e6i) q^{36} +(-185601. + 933081. i) q^{37} +(135289. + 747376. i) q^{38} +(-20303.2 - 8409.86i) q^{39} +(-2.30886e7 - 5.85022e6i) q^{40} +(3.04884e6 - 1.26287e6i) q^{41} +(61654.0 - 39673.2i) q^{42} +(-2.09880e6 + 1.40238e6i) q^{43} +(-1.18089e7 - 1.90673e7i) q^{44} +(-7.89451e6 - 3.96884e7i) q^{45} +(4.23621e7 - 1.66959e7i) q^{46} +(-3.20651e7 + 3.20651e7i) q^{47} +(114806. + 88757.4i) q^{48} +(4.30920e6 + 4.30920e6i) q^{49} +(-4.71837e7 - 2.05058e7i) q^{50} +(-72008.4 + 14323.4i) q^{51} +(-2.00603e7 + 3.27459e6i) q^{52} +(-5.90165e7 - 8.83245e7i) q^{53} +(-104534. + 481880. i) q^{54} +(-3.44638e7 - 8.32029e7i) q^{55} +(2.91593e7 - 6.12206e7i) q^{56} +(7110.77 - 17166.9i) q^{57} +(-6.17688e7 + 8.90743e7i) q^{58} +(-2.20910e7 - 4.39417e6i) q^{59} +(397558. + 426015. i) q^{60} +(-1.03132e8 - 6.89108e7i) q^{61} +(-2.67063e6 + 1.54628e8i) q^{62} +1.15206e8 q^{63} +(1.33498e8 + 1.38825e7i) q^{64} -8.16174e7 q^{65} +(-9475.15 + 548605. i) q^{66} +(-2.42894e8 - 1.62297e8i) q^{67} +(-4.96462e7 + 4.63300e7i) q^{68} +(-1.09255e6 - 217322. i) q^{69} +(1.55163e8 - 2.23754e8i) q^{70} +(5.07439e7 - 1.22507e8i) q^{71} +(7.62360e7 + 2.14907e8i) q^{72} +(1.05728e8 + 2.55249e8i) q^{73} +(4.56365e6 - 2.10375e7i) q^{74} +(699254. + 1.04651e6i) q^{75} +(-2.76876e6 - 1.69615e7i) q^{76} +(2.51468e8 - 5.00201e7i) q^{77} +(456054. + 198198. i) q^{78} +(1.48345e8 + 1.48345e8i) q^{79} +(5.20072e8 + 1.41377e8i) q^{80} +(-2.73935e8 + 2.73935e8i) q^{81} +(-6.94706e7 + 2.73799e7i) q^{82} +(-3.97889e7 - 2.00032e8i) q^{83} +(-1.41037e6 + 873478. i) q^{84} +(-2.26720e8 + 1.51489e8i) q^{85} +(4.80314e7 - 3.09073e7i) q^{86} +(2.44999e6 - 1.01482e6i) q^{87} +(2.59714e8 + 4.35993e8i) q^{88} +(2.46667e8 + 1.02173e8i) q^{89} +(1.63098e8 + 9.00996e8i) q^{90} +(4.53319e7 - 2.27899e8i) q^{91} +(-9.64926e8 + 3.61175e8i) q^{92} +(2.10198e6 - 3.14584e6i) q^{93} +(7.37972e8 - 7.12913e8i) q^{94} -6.90098e7i q^{95} +(-2.56269e6 - 2.05291e6i) q^{96} -9.07369e8i q^{97} +(-9.58076e7 - 9.91752e7i) q^{98} +(-4.79007e8 + 7.16885e8i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 568 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 157456 q^{99}+O(q^{100}) $ 568 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 + 3576336 * q^22 - 8 * q^23 + 12096992 * q^24 - 8 * q^25 - 2105968 * q^26 - 8 * q^27 - 21791488 * q^28 - 8 * q^29 + 44263272 * q^30 + 29441312 * q^32 - 38537008 * q^34 - 8 * q^35 - 110500728 * q^36 - 8 * q^37 + 66947312 * q^38 - 8 * q^39 + 97089632 * q^40 - 8 * q^41 - 224559088 * q^42 - 8 * q^43 + 146176992 * q^44 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 + 182758288 * q^50 - 360057320 * q^51 - 25227512 * q^52 - 8 * q^53 - 646232264 * q^54 + 280217656 * q^55 + 203163008 * q^56 - 8 * q^57 + 855153280 * q^58 - 576150472 * q^59 + 230939416 * q^60 - 8 * q^61 - 597609496 * q^62 + 1260236864 * q^63 - 1364809832 * q^64 - 16 * q^65 + 186013784 * q^66 - 1007094968 * q^67 + 1004327944 * q^68 - 8 * q^69 + 1869092056 * q^70 - 476202952 * q^71 - 714729104 * q^72 - 8 * q^73 - 2182183312 * q^74 + 2309166136 * q^75 - 888710984 * q^76 - 8 * q^77 + 5243787376 * q^78 - 2269128680 * q^79 - 5193915232 * q^80 - 8 * q^81 + 3136405672 * q^82 - 8 * q^83 + 6148771880 * q^84 - 8 * q^85 - 988828368 * q^86 - 8 * q^87 - 4940685368 * q^88 - 8 * q^89 - 7222410008 * q^90 - 8 * q^91 + 1729489584 * q^92 + 157456 * q^93 + 6710490136 * q^94 + 10366581632 * q^96 + 2543861360 * q^98 + 157456 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/64\mathbb{Z}\right)^\times$.

$n$	$5$	$63$
$\chi(n)$	$e\left(\frac{1}{16}\right)$	$1$

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 $

$2$	−22.6240	−	0.390747i	−0.999851	−	0.0172688i
$2$	−22.6240	−	0.390747i	−0.999851	−	0.0172688i
$3$	0.460275	+	0.307546i	0.00328074	+	0.00219212i	0.557210	−	0.830372i	$-0.311872\pi$
$3$	0.460275	+	0.307546i	0.00328074	+	0.00219212i	−0.553929	+	0.832564i	$0.686872\pi$
$4$	511.695	+	17.6806i	0.999404	+	0.0345324i
$5$	2016.41	+	401.089i	1.44283	+	0.286996i	0.853581	−	0.520959i	$-0.174426\pi$
$5$	2016.41	+	401.089i	1.44283	+	0.286996i	0.589244	+	0.807955i	$0.299426\pi$
$6$	−10.2931	−	7.13779i	−0.00324240	−	0.00224845i
$7$	−2239.91	+	5407.61i	−0.352605	+	0.851265i	0.643692	+	0.765285i	$0.277402\pi$
$7$	−2239.91	+	5407.61i	−0.352605	+	0.851265i	−0.996297	+	0.0859796i	$0.972598\pi$
$8$	−11569.7	−	599.949i	−0.998658	−	0.0517857i
$9$	−7532.24	−	18184.4i	−0.382677	−	0.923865i
$10$	−45462.6	−	9862.16i	−1.43765	−	0.311869i
$11$	−24336.5	−	36422.1i	−0.501176	−	0.750063i	0.491499	−	0.870878i	$-0.336449\pi$
$11$	−24336.5	−	36422.1i	−0.501176	−	0.750063i	−0.992675	+	0.120815i	$0.961449\pi$
$12$	230.083	+	165.508i	0.00320309	+	0.00230411i
$13$	−38936.0	+	7744.86i	−0.378100	+	0.0752087i	−0.380482	−	0.924788i	$-0.624242\pi$
$13$	−38936.0	+	7744.86i	−0.378100	+	0.0752087i	0.00238189	+	0.999997i	$0.499242\pi$
$14$	52788.8	−	121467.i	0.367253	−	0.845049i
$15$	804.750	+	804.750i	0.00410441	+	0.00410441i
$16$	261519.	+	18094.1i	0.997615	+	0.0690236i
$17$	−93782.7	+	93782.7i	−0.272334	+	0.272334i	−0.830039	−	0.557705i	$-0.811682\pi$
$17$	−93782.7	+	93782.7i	−0.272334	+	0.272334i	0.557705	+	0.830039i	$0.311682\pi$
$18$	163304.	+	414349.i	0.366666	+	0.930336i
$19$	−6548.49	−	32921.5i	−0.0115279	−	0.0579547i	0.974593	−	0.223982i	$-0.0719058\pi$
$19$	−6548.49	−	32921.5i	−0.0115279	−	0.0579547i	−0.986121	+	0.166028i	$0.946906\pi$
$20$	1.02469e6	+	240886.i	1.43205	+	0.336649i
$21$	−2694.07	+	1800.12i	−0.00302288	+	0.00201983i
$22$	536357.	+	833524.i	0.488149	+	0.758606i
$23$	−1.85914e6	+	770080.i	−1.38528	+	0.573800i	−0.945887	−	0.324497i	$-0.894805\pi$
$23$	−1.85914e6	+	770080.i	−1.38528	+	0.573800i	−0.439389	+	0.898297i	$0.644805\pi$
$24$	−5140.73	−	3834.36i	−0.00316282	−	0.00235908i
$25$	2.10058e6	+	870090.i	1.07550	+	0.445486i
$26$	883917.	−	160006.i	0.379342	−	0.0686682i
$27$	4251.33	−	21372.9i	0.00153953	−	0.00773974i
$28$	−1.24176e6	+	2.72744e6i	−0.381791	+	0.838581i
$29$	2.66143e6	−	3.98312e6i	0.698755	−	1.04576i	−0.297104	−	0.954845i	$-0.596021\pi$
$29$	2.66143e6	−	3.98312e6i	0.698755	−	1.04576i	0.995859	−	0.0909152i	$-0.0289792\pi$
$30$	−17892.3	−	18521.2i	−0.00403292	−	0.00417467i
$31$		−	6.83468e6i		−	1.32920i	−0.747199	−	0.664601i	$-0.768602\pi$
$31$		−	6.83468e6i		−	1.32920i	0.747199	−	0.664601i	$-0.231398\pi$
$32$	−5.90954e6	−	511550.i	−0.996274	−	0.0862408i
$33$		−	24248.8i		−	0.00355940i
$34$	2.15839e6	−	2.08510e6i	0.276997	−	0.267591i
$35$	−6.68551e6	+	1.00056e7i	−0.753057	+	1.12703i
$36$	−3.53270e6	−	9.43805e6i	−0.350546	−	0.936529i
$37$	−185601.	+	933081.i	−0.0162807	+	0.0818487i	−0.988071	−	0.153996i	$-0.950786\pi$
$37$	−185601.	+	933081.i	−0.0162807	+	0.0818487i	0.971791	+	0.235845i	$0.0757857\pi$
$38$	135289.	+	747376.i	0.0105254	+	0.0581451i
$39$	−20303.2	−	8409.86i	−0.00140532	−	0.000582101i
$40$	−2.30886e7	−	5.85022e6i	−1.42603	−	0.361328i
$41$	3.04884e6	−	1.26287e6i	0.168503	−	0.0697962i	−0.296837	−	0.954928i	$-0.595932\pi$
$41$	3.04884e6	−	1.26287e6i	0.168503	−	0.0697962i	0.465340	+	0.885132i	$0.345932\pi$
$42$	61654.0	−	39673.2i	0.00305731	−	0.00196732i
$43$	−2.09880e6	+	1.40238e6i	−0.0936189	+	0.0625542i	−0.601499	−	0.798874i	$-0.705429\pi$
$43$	−2.09880e6	+	1.40238e6i	−0.0936189	+	0.0625542i	0.507880	+	0.861428i	$0.330429\pi$
$44$	−1.18089e7	−	1.90673e7i	−0.474976	−	0.766923i
$45$	−7.89451e6	−	3.96884e7i	−0.286991	−	1.44280i
$46$	4.23621e7	−	1.66959e7i	1.39498	−	0.549792i
$47$	−3.20651e7	+	3.20651e7i	−0.958501	+	0.958501i	−0.999173	−	0.0406720i	$-0.987050\pi$
$47$	−3.20651e7	+	3.20651e7i	−0.958501	+	0.958501i	0.0406720	+	0.999173i	$0.487050\pi$
$48$	114806.	+	88757.4i	0.00312161	+	0.00241334i
$49$	4.30920e6	+	4.30920e6i	0.106786	+	0.106786i
$50$	−4.71837e7	−	2.05058e7i	−1.06765	−	0.463992i
$51$	−72008.4	+	14323.4i	−0.00149045	+	0.000296469i
$52$	−2.00603e7	+	3.27459e6i	−0.380472	+	0.0621072i
$53$	−5.90165e7	−	8.83245e7i	−1.02738	−	1.53759i	−0.830390	−	0.557182i	$-0.811882\pi$
$53$	−5.90165e7	−	8.83245e7i	−1.02738	−	1.53759i	−0.196993	−	0.980405i	$-0.563118\pi$
$54$	−104534.	+	481880.i	−0.00167296	+	0.00771200i
$55$	−3.44638e7	−	8.32029e7i	−0.507845	−	1.22605i
$56$	2.91593e7	−	6.12206e7i	0.396216	−	0.831862i
$57$	7110.77	−	17166.9i	8.92236e−5	−	0.000215405i
$58$	−6.17688e7	+	8.90743e7i	−0.716710	+	1.03354i
$59$	−2.20910e7	−	4.39417e6i	−0.237345	−	0.0472109i	0.0749843	−	0.997185i	$-0.476109\pi$
$59$	−2.20910e7	−	4.39417e6i	−0.237345	−	0.0472109i	−0.312330	+	0.949974i	$0.601109\pi$
$60$	397558.	+	426015.i	0.00396023	+	0.00424370i
$61$	−1.03132e8	−	6.89108e7i	−0.953698	−	0.637240i	−0.0217230	−	0.999764i	$-0.506915\pi$
$61$	−1.03132e8	−	6.89108e7i	−0.953698	−	0.637240i	−0.931975	+	0.362524i	$0.881915\pi$
$62$	−2.67063e6	+	1.54628e8i	−0.0229537	+	1.32900i
$63$	1.15206e8			0.921388
$64$	1.33498e8	+	1.38825e7i	0.994636	+	0.103432i
$65$	−8.16174e7			−0.567117
$66$	−9475.15	+	548605.i	−6.14665e−5	+	0.00355887i
$67$	−2.42894e8	−	1.62297e8i	−1.47259	−	0.983950i	−0.994399	−	0.105692i	$-0.966294\pi$
$67$	−2.42894e8	−	1.62297e8i	−1.47259	−	0.983950i	−0.478187	−	0.878258i	$-0.658706\pi$
$68$	−4.96462e7	+	4.63300e7i	−0.281576	+	0.262768i
$69$	−1.09255e6	−	217322.i	−0.00580257	−	0.00115420i
$70$	1.55163e8	−	2.23754e8i	0.772407	−	1.11386i
$71$	5.07439e7	−	1.22507e8i	0.236985	−	0.572133i	−0.759983	−	0.649943i	$-0.774793\pi$
$71$	5.07439e7	−	1.22507e8i	0.236985	−	0.572133i	0.996968	+	0.0778102i	$0.0247928\pi$
$72$	7.62360e7	+	2.14907e8i	0.334321	+	0.942443i
$73$	1.05728e8	+	2.55249e8i	0.435749	+	1.05199i	0.977402	+	0.211389i	$0.0677985\pi$
$73$	1.05728e8	+	2.55249e8i	0.435749	+	1.05199i	−0.541653	+	0.840602i	$0.682201\pi$
$74$	4.56365e6	−	2.10375e7i	0.0176917	−	0.0815553i
$75$	699254.	+	1.04651e6i	0.00255187	+	0.00381915i
$76$	−2.76876e6	−	1.69615e7i	−0.00951971	−	0.0583182i
$77$	2.51468e8	−	5.00201e7i	0.815220	−	0.162157i
$78$	456054.	+	198198.i	0.00139505	+	0.000606282i
$79$	1.48345e8	+	1.48345e8i	0.428501	+	0.428501i	0.888118	−	0.459616i	$-0.152013\pi$
$79$	1.48345e8	+	1.48345e8i	0.428501	+	0.428501i	−0.459616	+	0.888118i	$0.652013\pi$
$80$	5.20072e8	+	1.41377e8i	1.41957	+	0.385900i
$81$	−2.73935e8	+	2.73935e8i	−0.707074	+	0.707074i
$82$	−6.94706e7	+	2.73799e7i	−0.169683	+	0.0668760i
$83$	−3.97889e7	−	2.00032e8i	−0.0920260	−	0.462646i	−0.999129	−	0.0417365i	$-0.986711\pi$
$83$	−3.97889e7	−	2.00032e8i	−0.0920260	−	0.462646i	0.907103	−	0.420909i	$-0.138289\pi$
$84$	−1.41037e6	+	873478.i	−0.00309083	+	0.00191423i
$85$	−2.26720e8	+	1.51489e8i	−0.471090	+	0.314772i
$86$	4.80314e7	−	3.09073e7i	0.0946852	−	0.0609281i
$87$	2.44999e6	−	1.01482e6i	0.00458487	−	0.00189911i
$88$	2.59714e8	+	4.35993e8i	0.461661	+	0.775010i
$89$	2.46667e8	+	1.02173e8i	0.416731	+	0.172616i	0.581189	−	0.813768i	$-0.302588\pi$
$89$	2.46667e8	+	1.02173e8i	0.416731	+	0.172616i	−0.164458	+	0.986384i	$0.552588\pi$
$90$	1.63098e8	+	9.00996e8i	0.262033	+	1.44754i
$91$	4.53319e7	−	2.27899e8i	0.0692975	−	0.348382i
$92$	−9.64926e8	+	3.61175e8i	−1.40426	+	0.525621i
$93$	2.10198e6	−	3.14584e6i	0.00291377	−	0.00436077i
$94$	7.37972e8	−	7.12913e8i	0.974910	−	0.941805i
$95$		−	6.90098e7i		−	0.0869269i
$96$	−2.56269e6	−	2.05291e6i	−0.00307947	−	0.00246689i
$97$		−	9.07369e8i		−	1.04067i	−0.853963	−	0.520333i	$-0.825808\pi$
$97$		−	9.07369e8i		−	1.04067i	0.853963	−	0.520333i	$-0.174192\pi$
$98$	−9.58076e7	−	9.91752e7i	−0.104926	−	0.108614i
$99$	−4.79007e8	+	7.16885e8i	−0.501168	+	0.750051i
$100$	1.05947e9	+	4.82360e8i	1.05947	+	0.482360i
$101$	1.52280e8	−	7.65563e8i	0.145612	−	0.732040i	−0.837122	−	0.547016i	$-0.815764\pi$
$101$	1.52280e8	−	7.65563e8i	0.145612	−	0.732040i	0.982734	−	0.185024i	$-0.0592362\pi$
$102$	1.63472e6	−	295915.i	0.00149535	−	0.000270686i
$103$	−2.90827e8	−	1.20465e8i	−0.254605	−	0.105461i	0.251730	−	0.967797i	$-0.419000\pi$
$103$	−2.90827e8	−	1.20465e8i	−0.254605	−	0.105461i	−0.506336	+	0.862336i	$0.669000\pi$
$104$	4.55124e8	−	6.62460e7i	0.381487	−	0.0555277i
$105$	−6.15435e6	+	2.54921e6i	−0.00494117	+	0.00204670i
$106$	1.30068e9	+	2.02132e9i	1.00068	+	1.55510i
$107$	4.39157e8	−	2.93436e8i	0.323887	−	0.216414i	−0.382987	−	0.923754i	$-0.625105\pi$
$107$	4.39157e8	−	2.93436e8i	0.323887	−	0.216414i	0.706874	+	0.707339i	$0.250105\pi$
$108$	2.55327e6	−	1.08612e7i	0.00180588	−	0.00768196i
$109$	−4.05997e8	−	2.04109e9i	−0.275489	−	1.38498i	−0.832295	−	0.554333i	$-0.812973\pi$
$109$	−4.05997e8	−	2.04109e9i	−0.275489	−	1.38498i	0.556806	−	0.830642i	$-0.312027\pi$
$110$	7.47199e8	+	1.89585e9i	0.486597	+	1.23463i
$111$	−372393.	+	372393.i	−0.000232835	+	0.000232835i
$112$	−6.83624e8	+	1.37366e9i	−0.410522	+	0.824896i
$113$	−1.16881e9	−	1.16881e9i	−0.674360	−	0.674360i	0.284358	−	0.958718i	$-0.408220\pi$
$113$	−1.16881e9	−	1.16881e9i	−0.674360	−	0.674360i	−0.958718	+	0.284358i	$0.908220\pi$
$114$	−167582.	+	385607.i	−9.29301e−5	+	0.000213832i
$115$	−4.05765e9	+	8.07117e8i	−2.16339	+	0.430325i
$116$	1.43227e9	−	1.99108e9i	0.734451	−	1.02101i
$117$	4.34111e8	+	6.49694e8i	0.214173	+	0.320533i
$118$	4.98070e8	+	1.08046e8i	0.236495	+	0.0513025i
$119$	−2.97076e8	−	7.17205e8i	−0.135802	−	0.327855i
$120$	−8.82791e6	−	9.79353e6i	−0.00388635	−	0.00431145i
$121$	1.68042e8	−	4.05690e8i	0.0712663	−	0.172052i
$122$	2.30634e9	+	1.59934e9i	0.942551	+	0.653614i
$123$	1.79170e6	+	356391.i	0.000705817	+	0.000140396i
$124$	1.20841e8	−	3.49727e9i	0.0459005	−	1.32841i
$125$	5.47924e8	+	3.66111e8i	0.200736	+	0.134128i
$126$	−2.60642e9	−	4.50164e7i	−0.921250	−	0.0159112i
$127$	−1.57101e9			−0.535874			−0.267937	−	0.963436i	$-0.586342\pi$
$127$	−1.57101e9			−0.535874			−0.267937	+	0.963436i	$0.586342\pi$
$128$	−3.01484e9	−	3.66241e8i	−0.992702	−	0.120593i
$129$	−1.39732e6			−0.000444266
$130$	1.84651e9	+	3.18918e7i	0.567032	+	0.00979340i
$131$	−4.40025e8	−	2.94015e8i	−0.130544	−	0.0872265i	0.488584	−	0.872517i	$-0.337514\pi$
$131$	−4.40025e8	−	2.94015e8i	−0.130544	−	0.0872265i	−0.619128	+	0.785290i	$0.712514\pi$
$132$	428732.	−	1.24080e7i	0.000122915	−	0.00355728i
$133$	1.92695e8	+	3.83294e7i	0.0533996	+	0.0106218i
$134$	5.43183e9	+	3.76672e9i	1.45537	+	1.00923i
$135$	1.71449e7	−	4.13913e7i	0.00444255	−	0.0107253i
$136$	1.14130e9	−	1.02877e9i	0.286072	−	0.257866i
$137$	−2.36438e7	−	5.70811e7i	−0.00573422	−	0.0138436i	0.920986	−	0.389595i	$-0.127385\pi$
$137$	−2.36438e7	−	5.70811e7i	−0.00573422	−	0.0138436i	−0.926721	+	0.375751i	$0.877385\pi$
$138$	2.46330e7	+	5.34361e6i	0.00578177	+	0.00125423i
$139$	3.76707e9	+	5.63781e9i	0.855927	+	1.28099i	0.958162	+	0.286225i	$0.0924005\pi$
$139$	3.76707e9	+	5.63781e9i	0.855927	+	1.28099i	−0.102236	+	0.994760i	$0.532600\pi$
$140$	−3.59784e9	+	5.00159e9i	−0.791527	+	1.10035i
$141$	−2.46203e7	+	4.89728e6i	−0.00524574	+	0.00104344i
$142$	−1.19590e9	+	2.75177e9i	−0.246830	+	0.567955i
$143$	1.22965e9	+	1.22965e9i	0.245906	+	0.245906i
$144$	−1.64079e9	−	4.89186e9i	−0.317996	−	0.948076i
$145$	6.96413e9	−	6.96413e9i	1.30831	−	1.30831i
$146$	−2.29225e9	−	5.81609e9i	−0.417517	−	1.05936i
$147$	658140.	+	3.30869e6i	0.000116249	+	0.000584425i
$148$	−1.11469e8	+	4.74171e8i	−0.0190974	+	0.0812376i
$149$	3.78071e9	−	2.52619e9i	0.628399	−	0.419883i	−0.200177	−	0.979760i	$-0.564152\pi$
$149$	3.78071e9	−	2.52619e9i	0.628399	−	0.419883i	0.828576	+	0.559877i	$0.189152\pi$
$150$	−1.54110e7	−	2.39495e7i	−0.00248554	−	0.00386265i
$151$	−9.11793e9	+	3.77677e9i	−1.42725	+	0.591186i	−0.956671	−	0.291171i	$-0.905955\pi$
$151$	−9.11793e9	+	3.77677e9i	−1.42725	+	0.591186i	−0.470579	+	0.882358i	$0.655955\pi$
$152$	5.60128e7	+	3.84820e8i	0.00851121	+	0.0584739i
$153$	2.41178e9	+	9.98992e8i	0.355817	+	0.147384i
$154$	−5.70877e9	+	1.03340e9i	−0.817898	+	0.148055i
$155$	2.74131e9	−	1.37815e10i	0.381475	−	1.91780i
$156$	−1.02403e7	−	4.66225e6i	−0.00138438	−	0.000630282i
$157$	−6.20226e9	+	9.28234e9i	−0.814707	+	1.21930i	0.158041	+	0.987432i	$0.449482\pi$
$157$	−6.20226e9	+	9.28234e9i	−0.814707	+	1.21930i	−0.972749	+	0.231863i	$0.925518\pi$
$158$	−3.29821e9	−	3.41414e9i	−0.421038	−	0.435837i
$159$		−	5.88039e7i		−	0.00729658i
$160$	−1.17109e10	−	3.40175e9i	−1.41270	−	0.410357i
$161$		−	1.17784e10i		−	1.38156i
$162$	6.30455e9	−	6.09047e9i	0.719179	−	0.694758i
$163$	−6.45291e9	+	9.65747e9i	−0.715998	+	1.07157i	0.277830	+	0.960630i	$0.410385\pi$
$163$	−6.45291e9	+	9.65747e9i	−0.715998	+	1.07157i	−0.993828	+	0.110936i	$0.964615\pi$
$164$	1.58241e9	−	5.92300e8i	0.170813	−	0.0639358i
$165$	9.72592e6	−	4.88955e7i	0.00102153	−	0.00513560i
$166$	8.22024e8	+	4.54109e9i	0.0840230	+	0.464166i
$167$	−7.41750e9	−	3.07243e9i	−0.737961	−	0.305674i	−0.0181423	−	0.999835i	$-0.505775\pi$
$167$	−7.41750e9	−	3.07243e9i	−0.737961	−	0.305674i	−0.719819	+	0.694162i	$0.755775\pi$
$168$	3.22495e7	−	1.92105e7i	0.00312343	−	0.00186057i
$169$	−8.34125e9	+	3.45506e9i	−0.786576	+	0.325811i
$170$	5.18851e9	−	3.33871e9i	0.476455	−	0.306590i
$171$	−5.49334e8	+	3.67053e8i	−0.0491308	+	0.0328282i
$172$	−1.09874e9	+	6.80480e8i	−0.0957232	+	0.0592840i
$173$	−3.33828e9	−	1.67827e10i	−0.283345	−	1.42447i	−0.815958	−	0.578112i	$-0.803790\pi$
$173$	−3.33828e9	−	1.67827e10i	−0.283345	−	1.42447i	0.532613	−	0.846359i	$-0.321210\pi$
$174$	−5.58251e7	+	2.20019e7i	−0.00461698	+	0.00181966i
$175$	−9.41023e9	+	9.41023e9i	−0.758453	+	0.758453i
$176$	−5.70542e9	−	9.96541e9i	−0.448209	−	0.782867i
$177$	−8.81652e6	−	8.81652e6i	−0.000675177	−	0.000675177i
$178$	−5.54068e9	−	2.40795e9i	−0.413688	−	0.179786i
$179$	1.42055e10	−	2.82565e9i	1.03423	−	0.205721i	0.351344	−	0.936246i	$-0.385725\pi$
$179$	1.42055e10	−	2.82565e9i	1.03423	−	0.205721i	0.682886	+	0.730525i	$0.260725\pi$
$180$	−3.33786e9	−	2.04479e10i	−0.236997	−	1.45185i
$181$	1.36228e10	+	2.03880e10i	0.943436	+	1.41195i	0.910967	+	0.412479i	$0.135337\pi$
$181$	1.36228e10	+	2.03880e10i	0.943436	+	1.41195i	0.0324694	+	0.999473i	$0.489663\pi$
$182$	−1.11464e9	+	5.13828e9i	−0.0753033	+	0.347133i
$183$	−2.62760e7	−	6.34359e7i	−0.00173193	−	0.00418124i
$184$	2.19717e10	−	7.79420e9i	1.41313	−	0.501293i
$185$	−7.48497e8	+	1.80703e9i	−0.0469804	+	0.113421i
$186$	−4.87845e7	+	7.03502e7i	−0.00298864	+	0.00430980i
$187$	5.69810e9	+	1.13342e9i	0.340756	+	0.0677805i
$188$	−1.69745e10	+	1.58406e10i	−0.991028	+	0.924830i
$189$	1.06054e8	+	7.08629e7i	0.00604572	+	0.00403962i
$190$	−2.69654e7	+	1.56128e9i	−0.00150112	+	0.0869140i
$191$	−1.45779e10			−0.792584			−0.396292	−	0.918124i	$-0.629703\pi$
$191$	−1.45779e10			−0.792584			−0.396292	+	0.918124i	$0.629703\pi$
$192$	5.71763e7	+	4.74465e7i	0.00303641	+	0.00251970i
$193$	2.03868e10			1.05765			0.528825	−	0.848731i	$-0.322633\pi$
$193$	2.03868e10			1.05765			0.528825	+	0.848731i	$0.322633\pi$
$194$	−3.54552e8	+	2.05284e10i	−0.0179710	+	1.04051i
$195$	−3.75665e7	−	2.51011e7i	−0.00186056	−	0.00124319i
$196$	2.12880e9	+	2.28118e9i	0.103035	+	0.110410i
$197$	3.72363e10	+	7.40675e9i	1.76144	+	0.350372i	0.966569	−	0.256406i	$-0.0825382\pi$
$197$	3.72363e10	+	7.40675e9i	1.76144	+	0.350372i	0.794871	+	0.606778i	$0.207538\pi$
$198$	1.11172e10	−	1.60317e10i	0.514046	−	0.741285i
$199$	−2.59538e9	+	6.26580e9i	−0.117317	+	0.283229i	−0.971620	−	0.236547i	$-0.923984\pi$
$199$	−2.59538e9	+	6.26580e9i	−0.117317	+	0.283229i	0.854303	+	0.519775i	$0.173984\pi$
$200$	−2.37811e10	−	1.13269e10i	−1.05099	−	0.500584i
$201$	−6.18845e7	−	1.49402e8i	−0.00267423	−	0.00645617i
$202$	−3.74433e9	+	1.72606e10i	−0.158231	+	0.729416i
$203$	1.55778e10	+	2.33138e10i	0.643834	+	0.963566i
$204$	−3.70995e7	+	6.05604e6i	−0.00149980	+	0.000244823i
$205$	6.65424e9	−	1.32361e9i	0.263152	−	0.0523441i
$206$	6.53262e9	+	2.83904e9i	0.252746	+	0.109842i
$207$	2.80069e10	+	2.80069e10i	1.06023	+	1.06023i
$208$	−1.03226e10	+	1.32091e9i	−0.382389	+	0.0489316i
$209$	−1.03970e9	+	1.03970e9i	−0.0376921	+	0.0376921i
$210$	1.40232e8	−	5.52687e7i	0.00497578	−	0.00196107i
$211$	4.20123e9	+	2.11210e10i	0.145917	+	0.733574i	0.982578	+	0.185852i	$0.0595047\pi$
$211$	4.20123e9	+	2.11210e10i	0.145917	+	0.733574i	−0.836661	+	0.547722i	$0.815495\pi$
$212$	−2.86368e10	−	4.62386e10i	−0.973674	−	1.57215i
$213$	6.10326e7	−	4.07807e7i	0.00203167	−	0.00135752i
$214$	−1.00502e10	+	6.46710e9i	−0.327576	+	0.210789i
$215$	−4.79452e9	+	1.98596e9i	−0.153029	+	0.0633865i
$216$	−6.20093e7	+	2.44727e8i	−0.00193827	+	0.00764963i
$217$	3.69593e10	+	1.53091e10i	1.13150	+	0.468683i
$218$	8.38775e9	+	4.63363e10i	0.251531	+	1.38953i
$219$	−2.98371e7	+	1.50001e8i	−0.000876512	+	0.00440652i
$220$	−1.61639e10	−	4.31838e10i	−0.465204	−	1.24285i
$221$	2.92519e9	−	4.37786e9i	0.0824877	−	0.123452i
$222$	8.57055e6	−	8.27953e6i	0.000236821	−	0.000228780i
$223$			5.03232e10i			1.36269i	0.731964	+	0.681343i	$0.238604\pi$
$223$			5.03232e10i			1.36269i	−0.731964	+	0.681343i	$0.761396\pi$
$224$	1.60031e10	−	3.08107e10i	0.424705	−	0.817684i
$225$		−	4.47517e10i		−	1.16409i
$226$	2.59866e10	+	2.69000e10i	0.662614	+	0.685905i
$227$	−2.07707e10	+	3.10855e10i	−0.519200	+	0.777037i	−0.994715	−	0.102670i	$-0.967261\pi$
$227$	−2.07707e10	+	3.10855e10i	−0.519200	+	0.777037i	0.475516	+	0.879707i	$0.342261\pi$
$228$	3.94206e6	−	8.65850e6i	9.66089e−5	−	0.000212195i
$229$	1.35258e10	−	6.79990e10i	0.325016	−	1.63397i	−0.380151	−	0.924925i	$-0.624128\pi$
$229$	1.35258e10	−	6.79990e10i	0.325016	−	1.63397i	0.705167	−	0.709042i	$-0.250872\pi$
$230$	9.21159e10	−	1.66747e10i	2.17050	−	0.392902i
$231$	1.31128e8	+	5.43150e7i	0.00302999	+	0.00125506i
$232$	−3.31816e10	+	4.44867e10i	−0.751973	+	1.00817i
$233$	3.41118e10	−	1.41296e10i	0.758232	−	0.314070i	0.0301369	−	0.999546i	$-0.490406\pi$
$233$	3.41118e10	−	1.41296e10i	0.758232	−	0.314070i	0.728096	+	0.685476i	$0.240406\pi$
$234$	−9.56749e9	−	1.48683e10i	−0.208606	−	0.324183i
$235$	−7.75174e10	+	5.17954e10i	−1.65803	+	1.10786i
$236$	−1.12261e10	−	2.63905e9i	−0.235573	−	0.0553789i
$237$	2.26567e7	+	1.13903e8i	0.000466475	+	0.00234513i
$238$	6.44082e9	+	1.63422e10i	0.130120	+	0.330151i
$239$	5.91075e9	−	5.91075e9i	0.117180	−	0.117180i	−0.646086	−	0.763265i	$-0.723595\pi$
$239$	5.91075e9	−	5.91075e9i	0.117180	−	0.117180i	0.763265	+	0.646086i	$0.223595\pi$
$240$	1.95896e8	+	2.25019e8i	0.00381132	+	0.00437792i
$241$	4.24307e10	+	4.24307e10i	0.810220	+	0.810220i	0.984667	−	0.174446i	$-0.0558136\pi$
$241$	4.24307e10	+	4.24307e10i	0.810220	+	0.810220i	−0.174446	+	0.984667i	$0.555814\pi$
$242$	−3.96031e9	+	9.11268e9i	−0.0742268	+	0.170796i
$243$	−6.31016e8	+	1.25517e8i	−0.0116095	+	0.00230926i
$244$	−5.15539e10	−	3.70847e10i	−0.931123	−	0.669794i
$245$	6.96073e9	+	1.04175e10i	0.123426	+	0.184720i
$246$	−4.03962e7	−	8.76311e6i	−0.000703287	−	0.000152563i
$247$	5.09945e8	+	1.23112e9i	0.00871739	+	0.0210457i
$248$	−4.10046e9	+	7.90752e10i	−0.0688336	+	1.32742i
$249$	4.32053e7	−	1.04307e8i	0.000712263	−	0.00171955i
$250$	−1.22532e10	−	8.49702e9i	−0.198390	−	0.137574i
$251$	−3.40809e10	−	6.77910e9i	−0.541974	−	0.107805i	−0.0834912	−	0.996509i	$-0.526607\pi$
$251$	−3.40809e10	−	6.77910e9i	−0.541974	−	0.107805i	−0.458483	+	0.888703i	$0.651607\pi$
$252$	5.89503e10	+	2.03691e9i	0.920838	+	0.0318177i
$253$	7.32927e10	+	4.89726e10i	1.12465	+	0.751469i
$254$	3.55426e10	+	6.13868e8i	0.535794	+	0.00925387i
$255$	−1.50943e8			−0.00223554
$256$	6.80647e10	+	9.46390e9i	0.990471	+	0.137718i
$257$	−3.03310e10			−0.433698			−0.216849	−	0.976205i	$-0.569578\pi$
$257$	−3.03310e10			−0.433698			−0.216849	+	0.976205i	$0.569578\pi$
$258$	3.16131e7	+	546000.i	0.000444200	+	7.67192e-6i
$259$	−4.63001e9	−	3.09368e9i	−0.0639342	−	0.0427195i
$260$	−4.17632e10	−	1.44304e9i	−0.566778	−	0.0195839i
$261$	−9.24773e10	−	1.83949e10i	−1.23354	−	0.245366i
$262$	9.84025e9	+	6.82375e9i	0.129018	+	0.0894679i
$263$	4.84993e10	−	1.17088e11i	0.625078	−	1.50907i	−0.220591	−	0.975366i	$-0.570799\pi$
$263$	4.84993e10	−	1.17088e11i	0.625078	−	1.50907i	0.845670	−	0.533707i	$-0.179201\pi$
$264$	−1.45480e7	+	2.80551e8i	−0.000184326	+	0.00355463i
$265$	−8.35756e10	−	2.01769e11i	−1.04105	−	2.51332i
$266$	−4.34456e9	−	9.42461e8i	−0.0532082	−	0.0115424i
$267$	8.21118e7	+	1.22889e8i	0.000988792	+	0.00147983i
$268$	−1.21418e11	−	8.73409e10i	−1.43773	−	1.03422i
$269$	−8.64341e10	+	1.71928e10i	−1.00647	+	0.200199i	−0.670686	−	0.741741i	$-0.734000\pi$
$269$	−8.64341e10	+	1.71928e10i	−1.00647	+	0.200199i	−0.335781	+	0.941940i	$0.609000\pi$
$270$	−4.04059e8	+	9.29740e8i	−0.00462709	+	0.0106469i
$271$	−1.12968e11	−	1.12968e11i	−1.27232	−	1.27232i	−0.944869	−	0.327448i	$-0.893811\pi$
$271$	−1.12968e11	−	1.12968e11i	−1.27232	−	1.27232i	−0.327448	−	0.944869i	$-0.606189\pi$
$272$	−2.62229e10	+	2.28290e10i	−0.290482	+	0.252887i
$273$	9.09546e7	−	9.09546e7i	0.000991043	−	0.000991043i
$274$	5.12614e8	+	1.30064e9i	0.00549430	+	0.0139406i
$275$	−1.94303e10	−	9.76826e10i	−0.204872	−	1.02996i
$276$	−5.55210e8	−	1.30519e8i	−0.00575925	−	0.00135389i
$277$	−3.59911e10	+	2.40485e10i	−0.367313	+	0.245431i	−0.725504	−	0.688217i	$-0.758393\pi$
$277$	−3.59911e10	+	2.40485e10i	−0.367313	+	0.245431i	0.358191	+	0.933648i	$0.383393\pi$
$278$	−8.30233e10	−	1.29022e11i	−0.833678	−	1.29557i
$279$	−1.24285e11	+	5.14805e10i	−1.22800	+	0.508655i
$280$	8.33521e10	−	1.11750e11i	0.810411	−	1.08652i
$281$	6.31878e10	+	2.61733e10i	0.604582	+	0.250426i	0.663910	−	0.747813i	$-0.268896\pi$
$281$	6.31878e10	+	2.61733e10i	0.604582	+	0.250426i	−0.0593282	+	0.998239i	$0.518896\pi$
$282$	5.58924e8	−	1.01176e8i	0.00526298	−	0.000952700i
$283$	1.48977e10	−	7.48957e10i	0.138064	−	0.694094i	−0.848300	−	0.529516i	$-0.822374\pi$
$283$	1.48977e10	−	7.48957e10i	0.138064	−	0.694094i	0.986364	−	0.164578i	$-0.0526263\pi$
$284$	2.81314e10	−	6.17888e10i	0.256601	−	0.563608i
$285$	2.12237e7	−	3.17635e7i	0.000190554	−	0.000285185i
$286$	−2.73392e10	−	2.83001e10i	−0.241623	−	0.250116i
$287$			1.93157e10i			0.168051i
$288$	3.52098e10	+	1.11315e11i	0.301577	+	0.953426i
$289$			1.00997e11i			0.851668i
$290$	−1.60278e11	+	1.54835e11i	−1.33071	+	1.28552i
$291$	2.79058e8	−	4.17640e8i	0.00228127	−	0.00341416i
$292$	4.95874e10	+	1.32479e11i	0.399161	+	1.06641i
$293$	−2.51678e9	+	1.26527e10i	−0.0199499	+	0.100295i	−0.989477	−	0.144688i	$-0.953782\pi$
$293$	−2.51678e9	+	1.26527e10i	−0.0199499	+	0.100295i	0.969527	+	0.244983i	$0.0787822\pi$
$294$	−1.35969e7	−	7.51132e7i	−0.000106140	−	0.000586345i
$295$	−4.27820e10	−	1.77209e10i	−0.328898	−	0.136234i
$296$	2.70715e9	−	1.06841e10i	0.0204975	−	0.0808957i
$297$	−8.81908e8	+	3.65298e8i	−0.00657687	+	0.00272423i
$298$	−8.65222e10	+	5.56754e10i	−0.635556	+	0.408969i
$299$	6.64232e10	−	4.43826e10i	0.480618	−	0.321138i
$300$	3.39302e8	+	5.47856e8i	0.00241847	+	0.00390499i
$301$	−2.88238e9	−	1.44907e10i	−0.0202396	−	0.101751i
$302$	2.07760e11	−	8.18830e10i	1.43725	−	0.566451i
$303$	3.05537e8	−	3.05537e8i	0.00208243	−	0.00208243i
$304$	−1.11687e9	−	8.72808e9i	−0.00750017	−	0.0586121i
$305$	−1.80318e11	−	1.80318e11i	−1.19313	−	1.19313i
$306$	−5.41738e10	−	2.35436e10i	−0.353218	−	0.153507i
$307$	2.27263e11	−	4.52054e10i	1.46018	−	0.290447i	0.599819	−	0.800136i	$-0.295239\pi$
$307$	2.27263e11	−	4.52054e10i	1.46018	−	0.290447i	0.860359	+	0.509688i	$0.170239\pi$
$308$	1.29559e11	−	2.11489e10i	0.820333	−	0.133909i
$309$	−9.68122e7	−	1.44890e8i	−0.000604111	−	0.000904116i
$310$	−6.74047e10	+	3.10723e11i	−0.414536	+	1.91093i
$311$	1.10762e11	+	2.67403e11i	0.671381	+	1.62086i	0.779265	+	0.626694i	$0.215592\pi$
$311$	1.10762e11	+	2.67403e11i	0.671381	+	1.62086i	−0.107884	+	0.994163i	$0.534408\pi$
$312$	2.29856e8	+	1.09480e8i	0.00137328	+	0.000654095i
$313$	4.83486e9	−	1.16724e10i	0.0284731	−	0.0687401i	−0.909003	−	0.416789i	$-0.863156\pi$
$313$	4.83486e9	−	1.16724e10i	0.0284731	−	0.0687401i	0.937477	+	0.348048i	$0.113156\pi$
$314$	1.43947e11	−	2.07580e11i	0.835641	−	1.20504i
$315$	2.32302e11	+	4.62078e10i	1.32940	+	0.264434i
$316$	7.32847e10	+	7.85304e10i	0.413449	+	0.443043i
$317$	2.03014e11	+	1.35650e11i	1.12917	+	0.754487i	0.972440	−	0.233155i	$-0.0749048\pi$
$317$	2.03014e11	+	1.35650e11i	1.12917	+	0.754487i	0.156730	+	0.987642i	$0.449905\pi$
$318$	−2.29775e7	+	1.33038e9i	−0.000126003	+	0.00729549i
$319$	−2.09843e11			−1.13459
$320$	2.63618e11	+	8.15372e10i	1.40540	+	0.434691i
$321$	2.92378e8			0.00153700
$322$	−4.60238e9	+	2.66475e11i	−0.0238578	+	1.38135i
$323$	3.70160e9	+	2.47333e9i	0.0189225	+	0.0126436i
$324$	−1.45014e11	+	1.35328e11i	−0.731069	+	0.682235i
$325$	−8.85271e10	−	1.76091e10i	−0.440150	−	0.0875514i
$326$	1.49765e11	−	2.15969e11i	0.734396	−	1.05904i
$327$	4.40858e8	−	1.06432e9i	0.00213223	−	0.00514765i
$328$	−3.60318e10	+	1.27819e10i	−0.171891	+	0.0609765i
$329$	−1.01573e11	−	2.45219e11i	−0.477965	−	1.15391i
$330$	−2.39145e8	+	1.10241e9i	−0.00111007	+	0.00511719i
$331$	1.16766e11	+	1.74752e11i	0.534674	+	0.800197i	0.996215	−	0.0869224i	$-0.0277032\pi$
$331$	1.16766e11	+	1.74752e11i	0.534674	+	0.800197i	−0.461541	+	0.887119i	$0.652703\pi$
$332$	−1.68231e10	−	1.03059e11i	−0.0759949	−	0.465548i
$333$	1.83655e10	−	3.65313e9i	0.0818474	−	0.0162805i
$334$	1.66613e11	+	7.24092e10i	0.732573	+	0.318372i
$335$	−4.24679e11	−	4.24679e11i	−1.84229	−	1.84229i
$336$	−7.37120e8	+	4.22018e8i	−0.00315509	+	0.00180636i
$337$	−8.75219e10	+	8.75219e10i	−0.369643	+	0.369643i	−0.867347	−	0.497704i	$-0.834177\pi$
$337$	−8.75219e10	+	8.75219e10i	−0.369643	+	0.369643i	0.497704	+	0.867347i	$0.334177\pi$
$338$	1.90063e11	−	7.49081e10i	0.792085	−	0.312179i
$339$	−1.78512e8	−	8.97440e8i	−0.000734122	−	0.00369068i
$340$	−1.18690e11	+	7.35077e10i	−0.481679	+	0.298317i
$341$	−2.48933e11	+	1.66332e11i	−0.996985	+	0.666164i
$342$	1.25716e10	−	8.08958e9i	0.0496904	−	0.0319748i
$343$	−2.51171e11	+	1.04039e11i	−0.979821	+	0.405855i
$344$	2.51239e10	−	1.49659e10i	0.0967327	−	0.0576221i
$345$	−2.11586e9	−	8.76419e8i	−0.00804085	−	0.00333063i
$346$	6.89676e10	+	3.80996e11i	0.258704	+	1.42915i
$347$	1.65893e10	−	8.34002e10i	0.0614251	−	0.308805i	−0.937843	−	0.347060i	$-0.887180\pi$
$347$	1.65893e10	−	8.34002e10i	0.0614251	−	0.308805i	0.999268	+	0.0382552i	$0.0121800\pi$
$348$	1.27159e9	−	4.75959e8i	0.00464771	−	0.00173966i
$349$	−6.49765e10	+	9.72443e10i	−0.234446	+	0.350873i	−0.929974	−	0.367626i	$-0.880171\pi$
$349$	−6.49765e10	+	9.72443e10i	−0.234446	+	0.350873i	0.695528	+	0.718499i	$0.255171\pi$
$350$	2.16574e11	−	2.09220e11i	0.771438	−	0.745243i
$351$			8.65101e8i			0.00304218i
$352$	1.25186e11	+	2.27687e11i	0.434623	+	0.790491i
$353$		−	4.87936e11i		−	1.67254i	−0.548317	−	0.836270i	$-0.684731\pi$
$353$		−	4.87936e11i		−	1.67254i	0.548317	−	0.836270i	$-0.315269\pi$
$354$	1.96020e8	+	2.02910e8i	0.000663417	+	0.000686736i
$355$	1.51456e11	−	2.26671e11i	0.506128	−	0.757474i
$356$	1.24412e11	+	5.66425e10i	0.410522	+	0.186903i
$357$	8.38369e7	−	4.21477e8i	0.000273167	−	0.00137330i
$358$	−3.22489e11	+	5.83768e10i	−1.03763	+	0.187831i
$359$	−8.73886e10	−	3.61975e10i	−0.277670	−	0.115015i	0.239503	−	0.970896i	$-0.423016\pi$
$359$	−8.73886e10	−	3.61975e10i	−0.277670	−	0.115015i	−0.517173	+	0.855881i	$0.673016\pi$
$360$	6.75260e10	+	4.63919e11i	0.211890	+	1.45573i
$361$	2.97084e11	−	1.23056e11i	0.920654	−	0.381347i
$362$	−3.00236e11	−	4.66581e11i	−0.918913	−	1.42803i
$363$	2.02114e8	−	1.35048e8i	0.000610965	−	0.000408234i
$364$	2.72255e10	−	1.15813e11i	0.0812866	−	0.345781i
$365$	1.10813e11	+	5.57093e11i	0.326792	+	1.64290i
$366$	5.69682e8	+	1.44544e9i	0.00165946	+	0.00421053i
$367$	−1.60365e11	+	1.60365e11i	−0.461436	+	0.461436i	−0.899126	−	0.437690i	$-0.855797\pi$
$367$	−1.60365e11	+	1.60365e11i	−0.461436	+	0.461436i	0.437690	+	0.899126i	$0.355797\pi$
$368$	−5.00133e11	+	1.67751e11i	−1.42158	+	0.476815i
$369$	−4.59292e10	−	4.59292e10i	−0.128965	−	0.128965i
$370$	1.76401e10	−	4.05899e10i	0.0489321	−	0.112593i
$371$	6.09816e11	−	1.21300e11i	1.67115	−	0.332413i
$372$	1.13119e9	−	1.57254e9i	0.00306262	−	0.00425755i
$373$	3.36633e11	+	5.03807e11i	0.900465	+	1.34764i	0.937375	+	0.348323i	$0.113249\pi$
$373$	3.36633e11	+	5.03807e11i	0.900465	+	1.34764i	−0.0369094	+	0.999319i	$0.511751\pi$
$374$	−1.28471e11	−	2.78691e10i	−0.339534	−	0.0736548i
$375$	1.39600e8	+	3.37024e8i	0.000364539	+	0.000880076i
$376$	3.90221e11	−	3.51746e11i	1.00685	−	0.907578i
$377$	−7.27770e10	+	1.75699e11i	−0.185549	+	0.447954i
$378$	−2.37168e9	−	1.64464e9i	−0.00597506	−	0.00414342i
$379$	−1.09861e11	−	2.18527e10i	−0.273505	−	0.0544036i	0.0564319	−	0.998406i	$-0.482028\pi$
$379$	−1.09861e11	−	2.18527e10i	−0.273505	−	0.0544036i	−0.329937	+	0.944003i	$0.607028\pi$
$380$	1.22013e9	−	3.53119e10i	0.00300179	−	0.0868751i
$381$	−7.23097e8	−	4.83158e8i	−0.00175806	−	0.00117470i
$382$	3.29811e11	+	5.69629e9i	0.792466	+	0.0136869i
$383$	6.74802e11			1.60244			0.801220	−	0.598370i	$-0.204185\pi$
$383$	6.74802e11			1.60244			0.801220	+	0.598370i	$0.204185\pi$
$384$	−1.27502e9	−	1.09577e9i	−0.00299244	−	0.00257176i
$385$	5.27125e11			1.22276
$386$	−4.61233e11	−	7.96611e9i	−1.05749	−	0.0182643i
$387$	4.13101e10	+	2.76025e10i	0.0936175	+	0.0625532i
$388$	1.60428e10	−	4.64296e11i	0.0359367	−	1.04005i
$389$	2.22233e11	+	4.42049e10i	0.492080	+	0.0978807i	0.434892	−	0.900483i	$-0.356787\pi$
$389$	2.22233e11	+	4.42049e10i	0.492080	+	0.0978807i	0.0571878	+	0.998363i	$0.481787\pi$
$390$	8.40097e8	+	5.82568e8i	0.00183882	+	0.00127513i
$391$	1.02135e11	−	2.46575e11i	0.220993	−	0.533524i
$392$	−4.72708e10	−	5.24414e10i	−0.101113	−	0.112173i
$393$	−1.12109e8	−	2.70656e8i	−0.000237069	−	0.000572336i
$394$	−8.39541e11	−	1.82121e11i	−1.75513	−	0.380738i
$395$	2.39625e11	+	3.58625e11i	0.495275	+	0.741231i
$396$	−2.57780e11	+	3.58357e11i	−0.526771	+	0.732298i
$397$	−7.36019e11	+	1.46403e11i	−1.48707	+	0.295797i	−0.870761	−	0.491707i	$-0.836373\pi$
$397$	−7.36019e11	+	1.46403e11i	−1.48707	+	0.295797i	−0.616310	+	0.787504i	$0.711373\pi$
$398$	6.11663e10	−	1.40743e11i	0.122191	−	0.281161i
$399$	7.69046e7	+	7.69046e7i	0.000151906	+	0.000151906i
$400$	5.33599e11	+	2.65553e11i	1.04218	+	0.518658i
$401$	−3.80582e11	+	3.80582e11i	−0.735018	+	0.735018i	−0.971609	−	0.236591i	$-0.923970\pi$
$401$	−3.80582e11	+	3.80582e11i	−0.735018	+	0.735018i	0.236591	+	0.971609i	$0.423970\pi$
$402$	1.34170e9	+	3.40427e9i	0.00256235	+	0.00650139i
$403$	5.29336e10	+	2.66115e11i	0.0999675	+	0.502571i
$404$	9.14564e10	−	3.89042e11i	0.170804	−	0.726575i
$405$	−6.62237e11	+	4.42493e11i	−1.22311	+	0.817257i
$406$	−3.43323e11	−	5.33540e11i	−0.627099	−	0.974540i
$407$	3.85016e10	−	1.59479e10i	0.0695512	−	0.0288090i
$408$	8.41708e8	−	1.22515e8i	0.00150380	−	0.000218887i
$409$	−3.86302e10	−	1.60012e10i	−0.0682610	−	0.0282746i	0.348292	−	0.937386i	$-0.386762\pi$
$409$	−3.86302e10	−	1.60012e10i	−0.0682610	−	0.0282746i	−0.416553	+	0.909112i	$0.636762\pi$
$410$	−1.51063e11	+	2.73453e10i	−0.264016	+	0.0477920i
$411$	6.67244e6	−	3.35446e7i	1.15344e−5	−	5.79875e-5i
$412$	−1.46685e11	−	6.67831e10i	−0.250812	−	0.114190i
$413$	7.32437e10	−	1.09617e11i	0.123878	−	0.185397i
$414$	−6.22686e11	−	6.44574e11i	−1.04176	−	1.07838i
$415$		−	4.19306e11i		−	0.693928i
$416$	2.34056e11	−	2.58508e10i	0.383177	−	0.0423209i
$417$			3.75349e9i			0.00607888i
$418$	2.39285e10	−	2.31160e10i	0.0383374	−	0.0370356i
$419$	1.52810e11	−	2.28696e11i	0.242207	−	0.362489i	−0.690372	−	0.723455i	$-0.742553\pi$
$419$	1.52810e11	−	2.28696e11i	0.242207	−	0.362489i	0.932579	+	0.360966i	$0.117553\pi$
$420$	−3.19422e9	+	1.19561e9i	−0.00500890	+	0.00187485i
$421$	−1.25465e11	+	6.30755e11i	−0.194649	+	0.978568i	0.752699	+	0.658364i	$0.228751\pi$
$421$	−1.25465e11	+	6.30755e11i	−0.194649	+	0.978568i	−0.947349	+	0.320204i	$0.896249\pi$
$422$	−8.67959e10	−	4.79485e11i	−0.133227	−	0.735984i
$423$	8.24608e11	+	3.41564e11i	1.25232	+	0.518729i
$424$	6.29813e11	+	1.05729e12i	0.946379	+	1.58873i
$425$	−2.78598e11	+	1.15399e11i	−0.414217	+	0.171574i
$426$	−1.39674e9	+	8.98775e8i	−0.00205481	+	0.00132223i
$427$	6.03650e11	−	4.03346e11i	0.878739	−	0.587155i
$428$	2.29903e11	−	1.42385e11i	0.331167	−	0.205101i
$429$	1.87803e8	+	9.44151e8i	0.000267698	+	0.00134581i
$430$	1.09248e11	−	4.30569e10i	0.154100	−	0.0607344i
$431$	−1.88758e11	+	1.88758e11i	−0.263486	+	0.263486i	−0.826469	−	0.562982i	$-0.809654\pi$
$431$	−1.88758e11	+	1.88758e11i	−0.263486	+	0.263486i	0.562982	+	0.826469i	$0.309654\pi$
$432$	1.49853e9	−	5.51249e9i	0.00207008	−	0.00761502i
$433$	−8.71841e11	−	8.71841e11i	−1.19191	−	1.19191i	−0.976532	−	0.215374i	$-0.930903\pi$
$433$	−8.71841e11	−	8.71841e11i	−1.19191	−	1.19191i	−0.215374	−	0.976532i	$-0.569097\pi$
$434$	−8.30187e11	−	3.60794e11i	−1.12324	−	0.488153i
$435$	5.34721e9	−	1.06363e9i	0.00716020	−	0.00142425i
$436$	−1.71659e11	−	1.05159e12i	−0.227498	−	1.39366i
$437$	3.75267e10	+	5.61627e10i	0.0492237	+	0.0736685i
$438$	7.33648e8	−	3.38197e9i	0.000952477	−	0.00439073i
$439$	−4.25822e11	−	1.02803e12i	−0.547190	−	1.32103i	−0.919560	−	0.392949i	$-0.871455\pi$
$439$	−4.25822e11	−	1.02803e12i	−0.547190	−	1.32103i	0.372370	−	0.928084i	$-0.378545\pi$
$440$	3.48818e11	+	9.83309e11i	0.443672	+	1.25070i
$441$	4.59024e10	−	1.10818e11i	0.0577912	−	0.139520i
$442$	−6.78903e10	+	9.79019e10i	−0.0846072	+	0.122009i
$443$	6.47188e11	+	1.28734e11i	0.798387	+	0.158809i	0.577393	−	0.816466i	$-0.304070\pi$
$443$	6.47188e11	+	1.28734e11i	0.798387	+	0.158809i	0.220994	+	0.975275i	$0.429070\pi$
$444$	−1.97136e8	+	1.83967e8i	−0.000240737	+	0.000224656i
$445$	4.56401e11	+	3.04957e11i	0.551730	+	0.368654i
$446$	1.96636e10	−	1.13851e12i	0.0235319	−	1.36248i
$447$	2.51709e9			0.00298205
$448$	−3.74094e11	+	6.90810e11i	−0.438762	+	0.810228i
$449$	−1.86848e11			−0.216960			−0.108480	−	0.994099i	$-0.534598\pi$
$449$	−1.86848e11			−0.216960			−0.108480	+	0.994099i	$0.534598\pi$
$450$	−1.74866e10	+	1.01246e12i	−0.0201025	+	1.16392i
$451$	−1.20195e11	−	8.03114e10i	−0.136801	−	0.0914077i
$452$	−5.77410e11	−	6.18741e11i	−0.650671	−	0.697245i
$453$	−5.35829e9	−	1.06583e9i	−0.00597839	−	0.00118918i
$454$	4.82064e11	−	6.95164e11i	0.532541	−	0.767956i
$455$	1.82815e11	−	4.41355e11i	0.199968	−	0.482766i
$456$	−9.25687e7	+	1.94350e8i	−0.000100259	+	0.000210495i
$457$	4.33539e11	+	1.04666e12i	0.464949	+	1.12249i	0.966341	+	0.257265i	$0.0828214\pi$
$457$	4.33539e11	+	1.04666e12i	0.464949	+	1.12249i	−0.501392	+	0.865220i	$0.667179\pi$
$458$	−3.32580e11	+	1.53313e12i	−0.353184	+	1.62811i
$459$	1.60571e9	+	2.40311e9i	0.00168853	+	0.00252706i
$460$	−2.09055e12	+	3.41256e11i	−2.17696	+	0.355361i
$461$	−5.52989e11	+	1.09996e11i	−0.570246	+	0.113429i	−0.471788	−	0.881712i	$-0.656391\pi$
$461$	−5.52989e11	+	1.09996e11i	−0.570246	+	0.113429i	−0.0984583	+	0.995141i	$0.531391\pi$
$462$	−2.94542e9	−	1.28006e9i	−0.00300787	−	0.00130720i
$463$	−1.88354e11	−	1.88354e11i	−0.190485	−	0.190485i	0.605421	−	0.795906i	$-0.293005\pi$
$463$	−1.88354e11	−	1.88354e11i	−0.190485	−	0.190485i	−0.795906	+	0.605421i	$0.793005\pi$
$464$	7.68086e11	−	9.93504e11i	0.769270	−	0.995036i
$465$	5.50021e9	−	5.50021e9i	0.00545558	−	0.00545558i
$466$	−7.77267e11	+	3.06338e11i	−0.763543	+	0.300930i
$467$	−4.26159e10	−	2.14245e11i	−0.0414615	−	0.208441i	0.954501	−	0.298206i	$-0.0963884\pi$
$467$	−4.26159e10	−	2.14245e11i	−0.0414615	−	0.208441i	−0.995963	+	0.0897651i	$0.971388\pi$
$468$	2.10646e11	+	3.40120e11i	0.202977	+	0.327737i
$469$	1.42170e12	−	9.49949e11i	1.35684	−	0.906614i
$470$	1.77399e12	−	1.14153e12i	1.67692	−	1.07907i
$471$	−5.70949e9	+	2.36495e9i	−0.00534569	+	0.00221426i
$472$	2.52949e11	+	6.40926e10i	0.234582	+	0.0594387i
$473$	1.02155e11	+	4.23139e10i	0.0938391	+	0.0388694i
$474$	−4.68078e8	−	2.58580e9i	−0.000425908	−	0.00235284i
$475$	1.48890e10	−	7.48521e10i	0.0134198	−	0.0674657i
$476$	−1.39332e11	−	3.72243e11i	−0.124399	−	0.332349i
$477$	−1.16160e12	+	1.73846e12i	−1.02737	+	1.53756i
$478$	−1.36035e11	+	1.31415e11i	−0.119186	+	0.115139i
$479$			1.86578e12i			1.61938i	0.586855	+	0.809692i	$0.300366\pi$
$479$			1.86578e12i			1.61938i	−0.586855	+	0.809692i	$0.699634\pi$
$480$	−4.34404e9	−	5.16738e9i	−0.00373515	−	0.00444308i
$481$		−	3.77679e10i		−	0.0321714i
$482$	−9.43374e11	−	9.76533e11i	−0.796108	−	0.824091i
$483$	3.62240e9	−	5.42131e9i	0.00302855	−	0.00453255i
$484$	9.31591e10	−	2.04618e11i	0.0771651	−	0.169488i
$485$	3.63936e11	−	1.82963e12i	0.298667	−	1.50150i
$486$	1.43252e10	−	2.59313e9i	0.0116476	−	0.00210844i
$487$	−1.56693e12	−	6.49042e11i	−1.26232	−	0.522868i	−0.351696	−	0.936114i	$-0.614395\pi$
$487$	−1.56693e12	−	6.49042e11i	−1.26232	−	0.522868i	−0.910620	+	0.413246i	$0.864395\pi$
$488$	1.15187e12	+	8.59151e11i	0.919418	+	0.685773i
$489$	−5.94023e9	+	2.46053e9i	−0.00469801	+	0.00194598i
$490$	−1.53409e11	−	2.38405e11i	−0.120218	−	0.186824i
$491$	7.11953e11	−	4.75712e11i	0.552821	−	0.369384i	−0.247562	−	0.968872i	$-0.579629\pi$
$491$	7.11953e11	−	4.75712e11i	0.552821	−	0.369384i	0.800383	+	0.599489i	$0.204629\pi$
$492$	9.10502e8	+	2.14042e8i	0.000700548	+	0.000164686i
$493$	1.23951e11	+	6.23144e11i	0.0945016	+	0.475092i
$494$	−1.10560e10	−	2.80521e10i	−0.00835266	−	0.0211931i
$495$	−1.25341e12	+	1.25341e12i	−0.938360	+	0.938360i
$496$	1.23667e11	−	1.78740e12i	0.0917462	−	1.32603i
$497$	5.48807e11	+	5.48807e11i	0.403474	+	0.403474i
$498$	−1.01824e9	+	2.34296e9i	−0.000741851	+	0.00170700i
$499$	−4.11066e10	+	8.17662e9i	−0.0296797	+	0.00590366i	−0.209908	−	0.977721i	$-0.567316\pi$
$499$	−4.11066e10	+	8.17662e9i	−0.0296797	+	0.00590366i	0.180228	+	0.983625i	$0.442316\pi$
$500$	2.73897e11	+	1.97025e11i	0.195985	+	0.140979i
$501$	−2.46918e9	−	3.69539e9i	−0.00175099	−	0.00262054i
$502$	7.68398e11	+	1.66688e11i	0.540032	+	0.117149i
$503$	−1.33436e11	−	3.22143e11i	−0.0929432	−	0.224385i	0.870571	−	0.492044i	$-0.163750\pi$
$503$	−1.33436e11	−	3.22143e11i	−0.0929432	−	0.224385i	−0.963514	+	0.267659i	$0.913750\pi$
$504$	−1.33290e12	−	6.91178e10i	−0.920152	−	0.0477147i
$505$	6.14117e11	−	1.48261e12i	0.420185	−	1.01442i
$506$	−1.63904e12	−	1.13660e12i	−1.11151	−	0.770779i
$507$	−4.90186e9	−	9.75041e8i	−0.00329477	−	0.000655371i
$508$	−8.03878e11	−	2.77764e10i	−0.535554	−	0.0185050i
$509$	−7.95175e11	−	5.31319e11i	−0.525089	−	0.350853i	0.264602	−	0.964358i	$-0.414759\pi$
$509$	−7.95175e11	−	5.31319e11i	−0.525089	−	0.350853i	−0.789691	+	0.613504i	$0.789759\pi$
$510$	3.41495e9	+	5.89807e7i	0.00223521	+	3.86051e-5i
$511$	−1.61711e12			−1.04917
$512$	−1.53620e12	−	2.40708e11i	−0.987946	−	0.154802i
$513$	−7.31467e8			−0.000466302
$514$	6.86210e11	+	1.18518e10i	0.433634	+	0.00748943i
$515$	−5.38110e11	−	3.59554e11i	−0.337084	−	0.225233i
$516$	−7.15002e8	−	2.47055e7i	−0.000444001	−	1.53416e-5i
$517$	1.94823e12	+	3.87527e11i	1.19931	+	0.238558i
$518$	1.03541e11	+	7.18006e10i	0.0631870	+	0.0438172i
$519$	3.62492e9	−	8.75133e9i	0.00219303	−	0.00529445i
$520$	9.44288e11	+	4.89663e10i	0.566356	+	0.0293685i
$521$	−1.52930e11	−	3.69205e11i	−0.0909332	−	0.219532i	0.871869	−	0.489739i	$-0.162908\pi$
$521$	−1.52930e11	−	3.69205e11i	−0.0909332	−	0.219532i	−0.962802	+	0.270207i	$0.912908\pi$
$522$	2.08502e12	+	4.52302e11i	1.22912	+	0.266631i
$523$	1.59967e12	+	2.39408e12i	0.934919	+	1.39920i	0.916790	+	0.399369i	$0.130771\pi$
$523$	1.59967e12	+	2.39408e12i	0.934919	+	1.39920i	0.0181286	+	0.999836i	$0.494229\pi$
$524$	−2.19960e11	−	1.58226e11i	−0.127454	−	0.0916825i
$525$	−7.22537e9	+	1.43722e9i	−0.00415091	+	0.000825668i
$526$	−1.14300e12	+	2.63005e12i	−0.651045	+	1.49805i
$527$	6.40975e11	+	6.40975e11i	0.361987	+	0.361987i
$528$	4.38760e8	−	6.34151e9i	0.000245683	−	0.00355091i
$529$	1.58976e12	−	1.58976e12i	0.882635	−	0.882635i
$530$	1.81198e12	+	4.59749e12i	0.997496	+	2.53093i
$531$	8.64890e10	+	4.34810e11i	0.0472102	+	0.237342i
$532$	9.79232e10	+	2.30199e10i	0.0530009	+	0.0124595i
$533$	−1.08929e11	+	7.27841e10i	−0.0584617	+	0.0390629i
$534$	−1.80968e9	−	2.81233e9i	−0.000963090	−	0.00149669i
$535$	1.00321e12	−	4.15545e11i	0.529422	−	0.219294i
$536$	2.71284e12	+	2.02345e12i	1.41966	+	1.05889i
$537$	7.40745e9	+	3.06827e9i	0.00384401	+	0.00159224i
$538$	1.96221e12	−	3.55197e11i	1.00977	−	0.182789i
$539$	5.20793e10	−	2.61820e11i	0.0265776	−	0.133615i
$540$	9.50475e9	−	2.08766e10i	0.00481026	−	0.0105654i
$541$	−5.93553e11	+	8.88314e11i	−0.297901	+	0.445840i	−0.949980	−	0.312311i	$-0.898897\pi$
$541$	−5.93553e11	+	8.88314e11i	−0.297901	+	0.445840i	0.652079	+	0.758151i	$0.273897\pi$
$542$	2.51166e12	+	2.59995e12i	1.25016	+	1.29410i
$543$			1.35737e10i			0.00670038i
$544$	6.02187e11	−	5.06238e11i	0.294806	−	0.247833i
$545$		−	4.27851e12i		−	2.07734i
$546$	−2.09330e9	+	2.02222e9i	−0.00100801	+	0.000973781i
$547$	2.48258e11	−	3.71545e11i	0.118566	−	0.177447i	−0.767439	−	0.641122i	$-0.778469\pi$
$547$	2.48258e11	−	3.71545e11i	0.118566	−	0.177447i	0.886005	+	0.463675i	$0.153469\pi$
$548$	−1.10892e10	−	2.96261e10i	−0.00525275	−	0.0140334i
$549$	−4.76287e11	+	2.39446e12i	−0.223766	+	1.12495i
$550$	4.01422e11	+	2.21757e12i	0.187055	+	1.03334i
$551$	−1.48559e11	−	6.15350e10i	−0.0686619	−	0.0284407i
$552$	1.25101e10	+	3.16982e9i	0.00573501	+	0.00145314i
$553$	−1.13447e12	+	4.69915e11i	−0.515860	+	0.213676i
$554$	8.23661e11	−	5.30011e11i	0.371496	−	0.239051i
$555$	−9.00260e8	+	6.01535e8i	−0.000402763	+	0.000269118i
$556$	1.82791e12	+	2.95144e12i	0.811181	+	1.30978i
$557$	1.99532e11	+	1.00311e12i	0.0878342	+	0.441572i	0.999529	+	0.0307033i	$0.00977469\pi$
$557$	1.99532e11	+	1.00311e12i	0.0878342	+	0.441572i	−0.911694	+	0.410869i	$0.865225\pi$
$558$	2.83194e12	−	1.11613e12i	1.23660	−	0.487373i
$559$	7.08578e10	−	7.08578e10i	0.0306927	−	0.0306927i
$560$	−1.92943e12	+	2.49568e12i	−0.829053	+	1.07236i
$561$	2.27412e9	+	2.27412e9i	0.000969348	+	0.000969348i
$562$	−1.41934e12	−	6.16835e11i	−0.600167	−	0.260829i
$563$	−1.96285e12	+	3.90436e11i	−0.823379	+	0.163780i	−0.588761	−	0.808307i	$-0.700384\pi$
$563$	−1.96285e12	+	3.90436e11i	−0.823379	+	0.163780i	−0.234618	+	0.972088i	$0.575384\pi$
$564$	−1.26847e10	+	2.07061e9i	−0.00527865	+	0.000861673i
$565$	−1.88801e12	−	2.82560e12i	−0.779446	−	1.16652i
$566$	−3.66311e11	+	1.68862e12i	−0.150029	+	0.691606i
$567$	−8.67746e11	−	2.09492e12i	−0.352589	−	0.851225i
$568$	−6.60589e11	+	1.38692e12i	−0.266295	+	0.559093i
$569$	7.08516e11	−	1.71051e12i	0.283364	−	0.684101i	−0.716546	−	0.697540i	$-0.754278\pi$
$569$	7.08516e11	−	1.71051e12i	0.283364	−	0.684101i	0.999910	+	0.0134393i	$0.00427800\pi$
$570$	−4.92577e8	+	7.10326e8i	−0.000195451	+	0.000281852i
$571$	3.31229e12	+	6.58856e11i	1.30397	+	0.259375i	0.797727	−	0.603019i	$-0.206036\pi$
$571$	3.31229e12	+	6.58856e11i	1.30397	+	0.259375i	0.506239	+	0.862393i	$0.331036\pi$
$572$	6.07464e11	+	6.50946e11i	0.237268	+	0.254251i
$573$	−6.70986e9	−	4.48338e9i	−0.00260026	−	0.00173744i
$574$	7.54756e9	−	4.36999e11i	0.00290204	−	0.168026i
$575$	−4.57531e12			−1.74548
$576$	−7.53093e11	−	2.53215e12i	−0.285067	−	0.958491i
$577$	−3.52661e12			−1.32454			−0.662271	−	0.749264i	$-0.730407\pi$
$577$	−3.52661e12			−1.32454			−0.662271	+	0.749264i	$0.730407\pi$
$578$	3.94645e10	−	2.28497e12i	0.0147073	−	0.851541i
$579$	9.38356e9	+	6.26990e9i	0.00346988	+	0.00231850i
$580$	3.68664e12	−	3.44038e12i	1.35271	−	1.26235i
$581$	1.17082e12	+	2.32891e11i	0.426283	+	0.0847930i
$582$	−6.47661e9	+	9.33966e9i	−0.00233988	+	0.00337425i
$583$	−1.78071e12	+	4.29901e12i	−0.638388	+	1.54120i
$584$	−1.07010e12	−	3.01659e12i	−0.380686	−	1.07314i
$585$	6.14762e11	+	1.48417e12i	0.217023	+	0.523939i
$586$	6.18836e10	−	2.85271e11i	0.0216789	−	0.0999353i
$587$	−2.64232e12	−	3.95451e12i	−0.918574	−	1.37474i	−0.927114	−	0.374780i	$-0.877718\pi$
$587$	−2.64232e12	−	3.95451e12i	−0.918574	−	1.37474i	0.00853989	−	0.999964i	$-0.497282\pi$
$588$	2.78267e8	+	1.70468e9i	9.59984e−5	+	0.000588090i
$589$	−2.25008e11	+	4.47569e10i	−0.0770334	+	0.0153229i
$590$	9.60977e11	+	4.17635e11i	0.326497	+	0.141894i
$591$	1.48610e10	+	1.48610e10i	0.00501077	+	0.00501077i
$592$	−6.54215e10	+	2.40660e11i	−0.0218914	+	0.0805297i
$593$	−4.04806e11	+	4.04806e11i	−0.134432	+	0.134432i	−0.771121	−	0.636689i	$-0.780303\pi$
$593$	−4.04806e11	+	4.04806e11i	−0.134432	+	0.134432i	0.636689	+	0.771121i	$0.280303\pi$
$594$	2.00951e10	−	7.91992e9i	0.00662293	−	0.00261025i
$595$	−3.11364e11	−	1.56533e12i	−0.101846	−	0.512012i
$596$	1.97924e12	−	1.22579e12i	0.642524	−	0.397932i
$597$	−3.12161e9	+	2.08579e9i	−0.00100576	+	0.000672027i
$598$	−1.52010e12	+	9.78159e11i	−0.486092	+	0.312791i
$599$	2.88807e12	−	1.19628e12i	0.916616	−	0.379675i	0.126031	−	0.992026i	$-0.459776\pi$
$599$	2.88807e12	−	1.19628e12i	0.916616	−	0.379675i	0.790586	+	0.612352i	$0.209776\pi$
$600$	−7.46230e9	−	1.25273e10i	−0.00235067	−	0.00394618i
$601$	1.63334e12	+	6.76551e11i	0.510671	+	0.211527i	0.623114	−	0.782131i	$-0.285867\pi$
$601$	1.63334e12	+	6.76551e11i	0.510671	+	0.211527i	−0.112443	+	0.993658i	$0.535867\pi$
$602$	5.95489e10	+	3.28965e11i	0.0184795	+	0.102086i
$603$	−1.12174e12	+	5.63935e12i	−0.345512	+	1.73701i
$604$	−4.73237e12	+	1.77134e12i	−1.44681	+	0.541547i
$605$	5.01559e11	−	7.50636e11i	0.152203	−	0.227788i
$606$	−7.03186e9	+	6.79308e9i	−0.00211809	+	0.00204616i
$607$		−	5.63778e12i		−	1.68562i	−0.538212	−	0.842809i	$-0.680900\pi$
$607$		−	5.63778e12i		−	1.68562i	0.538212	−	0.842809i	$-0.319100\pi$
$608$	2.18576e10	+	1.97901e11i	0.00648689	+	0.0587329i
$609$			1.55217e10i			0.00457257i
$610$	4.00906e12	+	4.14997e12i	1.17235	+	1.21356i
$611$	1.00015e12	−	1.49683e12i	0.290321	−	0.434497i
$612$	1.21643e12	+	5.53820e11i	0.350515	+	0.159583i
$613$	2.13581e11	−	1.07374e12i	0.0610929	−	0.307135i	−0.938142	−	0.346251i	$-0.887454\pi$
$613$	2.13581e11	−	1.07374e12i	0.0610929	−	0.307135i	0.999235	+	0.0391168i	$0.0124544\pi$
$614$	−5.15927e12	+	9.33927e11i	−1.46498	+	0.265189i
$615$	3.46986e9	+	1.43726e9i	0.000978078	+	0.000405133i
$616$	−2.93942e12	+	4.27849e11i	−0.822523	+	0.119723i
$617$	5.86376e12	−	2.42885e12i	1.62889	−	0.674710i	0.633787	−	0.773508i	$-0.281500\pi$
$617$	5.86376e12	−	2.42885e12i	1.62889	−	0.674710i	0.995108	+	0.0987977i	$0.0314997\pi$
$618$	2.13367e9	+	3.31582e9i	0.000588408	+	0.000914414i
$619$	−2.00764e12	+	1.34146e12i	−0.549640	+	0.367258i	−0.799166	−	0.601110i	$-0.794725\pi$
$619$	−2.00764e12	+	1.34146e12i	−0.549640	+	0.367258i	0.249526	+	0.968368i	$0.419725\pi$
$620$	1.64638e12	−	7.00346e12i	0.447474	−	1.90349i
$621$	8.55502e9	+	4.30090e10i	0.00230839	+	0.0116051i
$622$	−2.40140e12	−	6.09302e12i	−0.643291	−	1.63221i
$623$	−1.10502e12	+	1.10502e12i	−0.293883	+	0.293883i
$624$	−5.15750e9	−	2.56670e9i	−0.00136178	−	0.000677712i
$625$	−2.18208e12	−	2.18208e12i	−0.572018	−	0.572018i
$626$	−1.13945e11	+	2.62188e11i	−0.0296559	+	0.0682382i
$627$	−7.98306e8	+	1.58793e8i	−0.000206284	+	4.10324e-5i
$628$	−3.33778e12	+	4.64006e12i	−0.856326	+	1.19043i
$629$	−7.01006e10	−	1.04913e11i	−0.0178564	−	0.0267240i
$630$	−5.23756e12	−	1.13618e12i	−1.32464	−	0.287352i
$631$	1.12884e12	+	2.72525e12i	0.283465	+	0.684345i	0.999912	−	0.0132970i	$-0.00423270\pi$
$631$	1.12884e12	+	2.72525e12i	0.283465	+	0.684345i	−0.716447	+	0.697642i	$0.754233\pi$
$632$	−1.62731e12	−	1.80531e12i	−0.405736	−	0.450117i
$633$	−4.56197e9	+	1.10136e10i	−0.00112937	+	0.00272654i
$634$	−4.53999e12	−	3.14827e12i	−1.11597	−	0.773874i
$635$	−3.16780e12	−	6.30115e11i	−0.773172	−	0.153793i
$636$	1.03969e9	−	3.00896e10i	0.000251968	−	0.00729222i
$637$	−2.01157e11	−	1.34409e11i	−0.0484070	−	0.0323445i
$638$	4.74751e12	+	8.19958e10i	1.13442	+	0.0195929i
$639$	−2.60993e12			−0.619262
$640$	−5.93225e12	−	1.94771e12i	−1.39769	−	0.458896i
$641$	−7.47284e12			−1.74834			−0.874168	−	0.485624i	$-0.838592\pi$
$641$	−7.47284e12			−1.74834			−0.874168	+	0.485624i	$0.838592\pi$
$642$	−6.61478e9	−	1.14246e8i	−0.00153677	−	2.65420e-5i
$643$	−1.22280e12	−	8.17046e11i	−0.282101	−	0.188494i	0.406467	−	0.913665i	$-0.366760\pi$
$643$	−1.22280e12	−	8.17046e11i	−0.282101	−	0.188494i	−0.688568	+	0.725171i	$0.741760\pi$
$644$	2.08249e11	−	6.02695e12i	0.0477086	−	1.38074i
$645$	−2.81757e9	−	5.60450e8i	−0.000640998	−	0.000127502i
$646$	−8.27788e10	−	5.74031e10i	−0.0187013	−	0.0129685i
$647$	4.64173e11	−	1.12061e12i	0.104138	−	0.251412i	−0.863218	−	0.504831i	$-0.831555\pi$
$647$	4.64173e11	−	1.12061e12i	0.104138	−	0.251412i	0.967357	+	0.253419i	$0.0815550\pi$
$648$	3.33369e12	−	3.00500e12i	0.742741	−	0.669509i
$649$	3.77571e11	+	9.11538e11i	0.0835406	+	0.201685i
$650$	1.99596e12	+	4.32982e11i	0.438573	+	0.0951392i
$651$	1.23032e10	+	1.84131e10i	0.00268475	+	0.00401802i
$652$	−3.47267e12	+	4.82758e12i	−0.752574	+	1.04620i
$653$	7.87297e12	−	1.56603e12i	1.69445	−	0.337047i	0.748940	−	0.662638i	$-0.230563\pi$
$653$	7.87297e12	−	1.56603e12i	1.69445	−	0.337047i	0.945511	+	0.325590i	$0.105563\pi$
$654$	−1.03899e10	+	2.39071e10i	−0.00222080	+	0.00511006i
$655$	−7.69344e11	−	7.69344e11i	−0.163318	−	0.163318i
$656$	8.20180e11	−	2.75099e11i	0.172919	−	0.0579991i
$657$	3.84520e12	−	3.84520e12i	0.805146	−	0.805146i
$658$	2.20217e12	+	5.58753e12i	0.457967	+	1.16199i
$659$	−1.39834e12	−	7.02991e12i	−0.288820	−	1.45200i	−0.803854	−	0.594826i	$-0.797221\pi$
$659$	−1.39834e12	−	7.02991e12i	−0.288820	−	1.45200i	0.515034	−	0.857170i	$-0.327779\pi$
$660$	5.84120e9	−	2.48476e10i	0.00119827	−	0.00509726i
$661$	5.01213e12	−	3.34900e12i	1.02121	−	0.682352i	0.0721350	−	0.997395i	$-0.477019\pi$
$661$	5.01213e12	−	3.34900e12i	1.02121	−	0.682352i	0.949078	+	0.315042i	$0.102019\pi$
$662$	−2.57343e12	−	3.99923e12i	−0.520776	−	0.809310i
$663$	2.69279e9	−	1.11539e9i	0.000541242	−	0.000224190i
$664$	3.40336e11	+	2.33818e12i	0.0679441	+	0.466791i
$665$	3.73178e11	+	1.54575e11i	0.0739978	+	0.0306509i
$666$	−4.16930e11	+	7.54724e10i	−0.0821163	+	0.0148646i
$667$	−1.88065e12	+	9.45468e12i	−0.367911	+	1.84961i
$668$	−3.74117e12	−	1.70329e12i	−0.726966	−	0.330975i
$669$	−1.54767e10	+	2.31625e10i	−0.00298718	+	0.00447062i
$670$	9.44201e12	+	9.77389e12i	1.81021	+	1.87383i
$671$			5.43334e12i			1.03470i
$672$	1.68415e10	−	9.25972e9i	0.00318581	−	0.00175160i
$673$			7.25255e12i			1.36277i	0.731925	+	0.681385i	$0.238622\pi$
$673$			7.25255e12i			1.36277i	−0.731925	+	0.681385i	$0.761378\pi$
$674$	2.01430e12	−	1.94590e12i	0.375971	−	0.363205i
$675$	2.75266e10	−	4.11965e10i	0.00510371	−	0.00763824i
$676$	−4.32926e12	+	1.62046e12i	−0.797358	+	0.298454i
$677$	9.10534e11	−	4.57757e12i	0.166589	−	0.837501i	−0.803603	−	0.595166i	$-0.797086\pi$
$677$	9.10534e11	−	4.57757e12i	0.166589	−	0.837501i	0.970192	−	0.242336i	$-0.0779136\pi$
$678$	3.68799e9	+	2.03735e10i	0.000670279	+	0.00370281i
$679$	4.90670e12	+	2.03242e12i	0.885882	+	0.366944i
$680$	2.71396e12	−	1.61666e12i	0.486758	−	0.289954i
$681$	−1.91205e10	+	7.91996e9i	−0.00340672	+	0.00141111i
$682$	5.69687e12	−	3.66583e12i	1.00834	−	0.648848i
$683$	−5.18025e12	+	3.46133e12i	−0.910872	+	0.608625i	−0.920250	−	0.391331i	$-0.872015\pi$
$683$	−5.18025e12	+	3.46133e12i	−0.910872	+	0.608625i	0.00937805	+	0.999956i	$0.497015\pi$
$684$	−2.87581e11	+	1.78107e11i	−0.0502352	+	0.0311120i
$685$	−2.47809e10	−	1.24582e11i	−0.00430041	−	0.0216196i
$686$	5.72317e12	−	2.25563e12i	0.986683	−	0.388874i
$687$	2.71385e10	−	2.71385e10i	0.00464815	−	0.00464815i
$688$	−5.74251e11	+	3.28772e11i	−0.0977133	+	0.0559431i
$689$	2.98193e12	+	2.98193e12i	0.504093	+	0.504093i
$690$	4.75269e10	+	2.06549e10i	0.00798213	+	0.00346899i
$691$	−2.74209e12	+	5.45436e11i	−0.457542	+	0.0910107i	−0.418480	−	0.908226i	$-0.637437\pi$
$691$	−2.74209e12	+	5.45436e11i	−0.457542	+	0.0910107i	−0.0390618	+	0.999237i	$0.512437\pi$
$692$	−1.41145e12	−	8.64662e12i	−0.233986	−	1.43341i
$693$	−2.80371e12	−	4.19604e12i	−0.461778	−	0.691099i
$694$	−4.07906e11	+	1.88037e12i	−0.0667487	+	0.307698i
$695$	5.33469e12	+	1.28791e13i	0.867316	+	2.09389i
$696$	−2.89544e10	+	1.02713e10i	−0.00467706	+	0.00165914i
$697$	−1.67493e11	+	4.04364e11i	−0.0268813	+	0.0648971i
$698$	1.50803e12	−	2.17467e12i	0.240470	−	0.346772i
$699$	2.00463e10	+	3.98746e9i	0.00317605	+	0.000631755i
$700$	−4.98154e12	+	4.64878e12i	−0.784192	+	0.731810i
$701$	−2.00464e12	−	1.33946e12i	−0.313549	−	0.209507i	0.388831	−	0.921309i	$-0.372879\pi$
$701$	−2.00464e12	−	1.33946e12i	−0.313549	−	0.209507i	−0.702380	+	0.711803i	$0.747879\pi$
$702$	3.38036e8	−	1.95721e10i	5.25347e−5	−	0.00304173i
$703$	3.19338e10			0.00493119
$704$	−2.74324e12	−	5.20012e12i	−0.420907	−	0.797878i
$705$	−5.16088e10			−0.00786816
$706$	−1.90660e11	+	1.10391e13i	−0.0288827	+	1.67229i
$707$	3.79878e12	+	2.53826e12i	0.571816	+	0.382075i
$708$	−4.35548e9	−	4.66725e9i	−0.000651459	−	0.000698089i
$709$	−1.08912e13	−	2.16640e12i	−1.61871	−	0.321982i	−0.699165	−	0.714961i	$-0.746445\pi$
$709$	−1.08912e13	−	2.16640e12i	−1.61871	−	0.321982i	−0.919548	+	0.392979i	$0.871445\pi$
$710$	−3.51513e12	+	5.06902e12i	−0.519133	+	0.748621i
$711$	1.58020e12	−	3.81495e12i	0.231900	−	0.559855i
$712$	−2.79256e12	−	1.33009e12i	−0.407233	−	0.193965i
$713$	5.26325e12	+	1.27066e13i	0.762695	+	1.84131i
$714$	−2.06142e9	+	9.50275e9i	−0.000296842	+	0.00136838i
$715$	1.98628e12	+	2.97268e12i	0.284225	+	0.425373i
$716$	7.31883e12	−	1.19471e12i	1.04072	−	0.169884i
$717$	4.53840e9	−	9.02744e8i	0.000641308	−	0.000127564i
$718$	1.96294e12	+	8.53082e11i	0.275643	+	0.119793i
$719$	1.81194e12	+	1.81194e12i	0.252850	+	0.252850i	0.822138	−	0.569288i	$-0.192781\pi$
$719$	1.81194e12	+	1.81194e12i	0.252850	+	0.252850i	−0.569288	+	0.822138i	$0.692781\pi$
$720$	−1.34644e12	−	1.05221e13i	−0.186719	−	1.45917i
$721$	1.30285e12	−	1.30285e12i	0.179550	−	0.179550i
$722$	−6.76932e12	+	2.66794e12i	−0.927102	+	0.365392i
$723$	6.48040e9	+	3.25792e10i	0.000882022	+	0.00443423i
$724$	6.61024e12	+	1.06733e13i	0.894116	+	1.44369i
$725$	9.05624e12	−	6.05118e12i	1.21738	−	0.813428i
$726$	−4.62540e9	+	2.97636e9i	−0.000617924	+	0.000397622i
$727$	1.04419e13	−	4.32517e12i	1.38635	−	0.574246i	0.440181	−	0.897909i	$-0.354914\pi$
$727$	1.04419e13	−	4.32517e12i	1.38635	−	0.574246i	0.946173	+	0.323663i	$0.104914\pi$
$728$	−6.61204e11	+	2.60952e12i	−0.0872457	+	0.344326i
$729$	7.04448e12	+	2.91792e12i	0.923793	+	0.382648i
$730$	−2.28935e12	−	1.26470e13i	−0.298373	−	1.64829i
$731$	6.53129e10	−	3.28350e11i	0.00846000	−	0.0425313i
$732$	−1.23237e10	−	3.29244e10i	−0.00158651	−	0.00423856i
$733$	−2.05247e12	+	3.07173e12i	−0.262608	+	0.393021i	−0.939218	−	0.343321i	$-0.888448\pi$
$733$	−2.05247e12	+	3.07173e12i	−0.262608	+	0.393021i	0.676610	+	0.736341i	$0.263448\pi$
$734$	3.69076e12	−	3.56544e12i	0.469336	−	0.453399i
$735$			6.93565e9i			0.000876586i
$736$	1.13806e13	−	3.59978e12i	1.42960	−	0.452195i
$737$			1.27964e13i			1.59766i
$738$	1.02116e12	+	1.05705e12i	0.126718	+	0.131172i
$739$	4.54748e12	−	6.80579e12i	0.560882	−	0.839419i	−0.437324	−	0.899304i	$-0.644074\pi$
$739$	4.54748e12	−	6.80579e12i	0.560882	−	0.839419i	0.998205	+	0.0598855i	$0.0190736\pi$
$740$	−4.14951e11	+	9.11414e11i	−0.0508691	+	0.111731i
$741$	−1.43910e8	+	7.23484e8i	−1.75351e−5	+	8.81550e-5i
$742$	−1.38439e13	+	2.50601e12i	−1.67665	+	0.303505i
$743$	8.80457e12	+	3.64697e12i	1.05988	+	0.439019i	0.843410	−	0.537270i	$-0.180544\pi$
$743$	8.80457e12	+	3.64697e12i	1.05988	+	0.439019i	0.216474	+	0.976288i	$0.430544\pi$
$744$	−2.62066e10	+	3.51353e10i	−0.00313569	+	0.00420402i
$745$	8.63670e12	−	3.57744e12i	1.02718	−	0.425470i
$746$	−7.41914e12	−	1.15297e13i	−0.877059	−	1.36299i
$747$	−3.33778e12	+	2.23023e12i	−0.392206	+	0.262064i
$748$	2.89565e12	+	6.80712e11i	0.338212	+	0.0795072i
$749$	6.03115e11	+	3.03206e12i	0.0700215	+	0.352022i
$750$	−3.02662e9	−	7.67939e9i	−0.000349287	−	0.000886240i
$751$	3.54958e12	−	3.54958e12i	0.407190	−	0.407190i	−0.473568	−	0.880757i	$-0.657034\pi$
$751$	3.54958e12	−	3.54958e12i	0.407190	−	0.407190i	0.880757	+	0.473568i	$0.157034\pi$
$752$	−8.96582e12	+	7.80544e12i	−1.02237	+	0.890055i
$753$	−1.36017e10	−	1.36017e10i	−0.00154176	−	0.00154176i
$754$	1.71516e12	−	3.94659e12i	0.193257	−	0.444683i
$755$	−1.99003e13	+	3.95842e12i	−2.22894	+	0.443364i
$756$	5.30142e10	+	3.81352e10i	0.00590262	+	0.00424598i
$757$	−4.36199e12	−	6.52818e12i	−0.482785	−	0.722538i	0.507491	−	0.861657i	$-0.330573\pi$
$757$	−4.36199e12	−	6.52818e12i	−0.482785	−	0.722538i	−0.990276	+	0.139119i	$0.955573\pi$
$758$	2.47695e12	+	5.37323e11i	0.272525	+	0.0591186i
$759$	1.86735e10	+	4.50818e10i	0.00204239	+	0.00493075i
$760$	−4.14024e10	+	7.98422e11i	−0.00450157	+	0.0868103i
$761$	−3.33540e12	+	8.05238e12i	−0.360510	+	0.870348i	0.634715	+	0.772746i	$0.281117\pi$
$761$	−3.33540e12	+	8.05238e12i	−0.360510	+	0.870348i	−0.995225	+	0.0976024i	$0.968883\pi$
$762$	1.61706e10	+	1.12135e10i	0.00173752	+	0.00120488i
$763$	1.19468e13	+	2.37637e12i	1.27612	+	0.253836i
$764$	−7.45944e12	−	2.57746e11i	−0.792112	−	0.0273698i
$765$	4.46245e12	+	2.98171e12i	0.471083	+	0.314767i
$766$	−1.52667e13	−	2.63677e11i	−1.60220	−	0.0276722i
$767$	8.94167e11			0.0932909
$768$	2.84179e10	+	2.52890e10i	0.00294759	+	0.00262305i
$769$	−1.01977e13			−1.05155			−0.525777	−	0.850622i	$-0.676225\pi$
$769$	−1.01977e13			−1.05155			−0.525777	+	0.850622i	$0.676225\pi$
$770$	−1.19257e13	−	2.05973e11i	−1.22258	−	0.0211155i
$771$	−1.39606e10	−	9.32819e9i	−0.00142285	−	0.000950720i
$772$	1.04318e13	+	3.60451e11i	1.05702	+	0.0365232i
$773$	7.33835e12	+	1.45969e12i	0.739248	+	0.147046i	0.550330	−	0.834947i	$-0.314502\pi$
$773$	7.33835e12	+	1.45969e12i	0.739248	+	0.147046i	0.188918	+	0.981993i	$0.439502\pi$
$774$	−9.23816e11	−	6.40622e11i	−0.0925233	−	0.0641605i
$775$	5.94679e12	−	1.43568e13i	0.592141	−	1.42955i
$776$	−5.44376e11	+	1.04980e13i	−0.0538916	+	1.03927i
$777$	−1.17963e9	−	2.84789e9i	−0.000116105	−	0.000280303i
$778$	−5.01054e12	−	1.08693e12i	−0.490316	−	0.106364i
$779$	−6.15410e10	−	9.21026e10i	−0.00598750	−	0.00896093i
$780$	−1.87788e10	−	1.35083e10i	−0.00181652	−	0.00130670i
$781$	−5.69687e12	+	1.13318e12i	−0.547907	+	0.108985i
$782$	−2.40705e12	+	5.53862e12i	−0.230173	+	0.529628i
$783$	−7.38161e10	−	7.38161e10i	−0.00701816	−	0.00701816i
$784$	1.04896e12	+	1.20491e12i	0.0991605	+	0.113902i
$785$	−1.62293e13	+	1.62293e13i	−1.52541	+	1.52541i
$786$	2.43061e9	+	6.16713e9i	0.000227150	+	0.000576344i
$787$	−1.79050e12	−	9.00147e12i	−0.166375	−	0.836425i	−0.970339	−	0.241747i	$-0.922280\pi$
$787$	−1.79050e12	−	9.00147e12i	−0.166375	−	0.836425i	0.803964	−	0.594678i	$-0.202720\pi$
$788$	1.89226e13	+	4.44835e12i	1.74829	+	0.410990i
$789$	5.83329e10	−	3.89768e10i	0.00535879	−	0.00358063i
$790$	−5.28116e12	−	8.20718e12i	−0.482401	−	0.749673i
$791$	8.93852e12	−	3.70246e12i	0.811842	−	0.336276i
$792$	5.97206e12	−	8.00676e12i	0.539338	−	0.723092i
$793$	4.54927e12	+	1.88437e12i	0.408519	+	0.169214i
$794$	1.67089e13	−	3.02464e12i	1.49196	−	0.270073i
$795$	2.35856e10	−	1.18573e11i	0.00209409	−	0.0105277i
$796$	−1.43882e12	+	3.16029e12i	−0.127028	+	0.279009i
$797$	−1.13937e13	+	1.70518e13i	−1.00023	+	1.49695i	−0.138007	+	0.990431i	$0.544070\pi$
$797$	−1.13937e13	+	1.70518e13i	−1.00023	+	1.49695i	−0.862226	+	0.506524i	$0.830930\pi$
$798$	−1.70984e9	−	1.76994e9i	−0.000149260	−	0.000154506i
$799$		−	6.01430e12i		−	0.522065i
$800$	−1.19684e13	−	6.21639e12i	−1.03307	−	0.536578i
$801$		−	5.25509e12i		−	0.451059i
$802$	8.75901e12	−	8.46158e12i	0.747601	−	0.722216i
$803$	6.72368e12	−	1.00627e13i	0.570672	−	0.854072i
$804$	−2.90244e10	−	7.75425e10i	−0.00244969	−	0.00654467i
$805$	4.72419e12	−	2.37501e13i	0.396502	−	1.99335i
$806$	−1.09359e12	−	6.04129e12i	−0.0912739	−	0.504222i
$807$	−4.50711e10	−	1.86691e10i	−0.00374082	−	0.00154950i
$808$	−2.22113e12	+	8.76596e12i	−0.183326	+	0.723517i
$809$	−1.20761e13	+	5.00210e12i	−0.991196	+	0.410567i	−0.818561	−	0.574419i	$-0.805228\pi$
$809$	−1.20761e13	+	5.00210e12i	−0.991196	+	0.410567i	−0.172635	+	0.984986i	$0.555228\pi$
$810$	1.51554e13	−	9.75221e12i	1.23704	−	0.796013i
$811$	5.90186e12	−	3.94350e12i	0.479066	−	0.320101i	−0.292484	−	0.956270i	$-0.594482\pi$
$811$	5.90186e12	−	3.94350e12i	0.479066	−	0.320101i	0.771550	+	0.636169i	$0.219482\pi$
$812$	7.55888e12	+	1.22050e13i	0.610176	+	0.985224i
$813$	−1.72536e10	−	8.67396e10i	−0.00138507	−	0.00696322i
$814$	−8.77294e11	+	3.45762e11i	−0.0700383	+	0.0276037i
$815$	−1.68852e13	+	1.68852e13i	−1.34059	+	1.34059i
$816$	−1.90907e10	+	2.44290e9i	−0.00150736	+	0.000192886i
$817$	5.99123e10	+	5.99123e10i	0.00470453	+	0.00470453i
$818$	8.67719e11	+	3.77106e11i	0.0677625	+	0.0294492i
$819$	−4.48566e12	+	8.92254e11i	−0.348377	+	0.0692964i
$820$	3.42834e12	−	5.59634e11i	0.264802	−	0.0432257i
$821$	3.91439e12	+	5.85830e12i	0.300691	+	0.450015i	0.950791	−	0.309833i	$-0.100273\pi$
$821$	3.91439e12	+	5.85830e12i	0.300691	+	0.450015i	−0.650100	+	0.759848i	$0.725273\pi$
$822$	−1.64065e8	+	7.56307e8i	−1.25341e−5	+	5.77797e-5i
$823$	−6.37054e12	−	1.53798e13i	−0.484035	−	1.16856i	−0.957676	−	0.287847i	$-0.907061\pi$
$823$	−6.37054e12	−	1.53798e13i	−0.484035	−	1.16856i	0.473641	−	0.880718i	$-0.342939\pi$
$824$	3.29251e12	+	1.56822e12i	0.248802	+	0.118504i
$825$	2.10986e10	−	5.09366e10i	0.00158567	−	0.00382813i
$826$	−1.69990e12	+	2.45136e12i	−0.127061	+	0.183230i
$827$	−8.64389e12	−	1.71938e12i	−0.642591	−	0.127819i	−0.136970	−	0.990575i	$-0.543736\pi$
$827$	−8.64389e12	−	1.71938e12i	−0.642591	−	0.127819i	−0.505621	+	0.862756i	$0.668736\pi$
$828$	1.38358e13	+	1.48262e13i	1.02298	+	1.09621i
$829$	−4.58142e12	−	3.06121e12i	−0.336903	−	0.225111i	0.375598	−	0.926783i	$-0.377437\pi$
$829$	−4.58142e12	−	3.06121e12i	−0.336903	−	0.225111i	−0.712501	+	0.701671i	$0.752437\pi$
$830$	−1.63843e11	+	9.48640e12i	−0.0119833	+	0.693825i
$831$	−2.39618e10			−0.00174307
$832$	−5.30539e12	+	4.93394e11i	−0.383851	+	0.0356976i
$833$	−8.08256e11			−0.0581629
$834$	1.46667e9	−	8.49192e10i	0.000104975	−	0.00607797i
$835$	−1.37244e13	−	9.17036e12i	−0.977022	−	0.652825i
$836$	−5.50393e11	+	5.13628e11i	−0.0389713	+	0.0363681i
$837$	−1.46077e11	−	2.90565e10i	−0.0102877	−	0.00204634i
$838$	−3.54653e12	+	5.11431e12i	−0.248431	+	0.358252i
$839$	8.00758e12	−	1.93320e13i	0.557921	−	1.34694i	−0.353488	−	0.935439i	$-0.615005\pi$
$839$	8.00758e12	−	1.93320e13i	0.557921	−	1.34694i	0.911409	−	0.411501i	$-0.134995\pi$
$840$	7.27333e10	−	2.58013e10i	0.00504053	−	0.00178807i
$841$	−3.23035e12	−	7.79876e12i	−0.222673	−	0.537580i
$842$	3.08499e12	−	1.42212e13i	0.211519	−	0.975061i
$843$	2.10343e10	+	3.14801e10i	0.00143451	+	0.00214690i
$844$	1.77632e12	+	1.08818e13i	0.120498	+	0.738175i
$845$	−1.82052e13	+	3.62123e12i	−1.22840	+	0.244344i
$846$	−1.85225e13	−	8.04977e12i	−1.24318	−	0.540277i
$847$	1.81741e12	+	1.81741e12i	0.121333	+	0.121333i
$848$	−1.38358e13	−	2.41664e13i	−0.918803	−	1.60483i
$849$	2.98909e10	−	2.98909e10i	0.00197449	−	0.00197449i
$850$	6.34810e12	−	2.50193e12i	0.417118	−	0.164396i
$851$	−3.73488e11	−	1.87765e12i	−0.0244115	−	0.122725i
$852$	3.19511e10	−	1.97882e10i	0.00207734	−	0.00128655i
$853$	−1.87366e12	+	1.25194e12i	−0.121177	+	0.0809677i	−0.614682	−	0.788775i	$-0.710716\pi$
$853$	−1.87366e12	+	1.25194e12i	−0.121177	+	0.0809677i	0.493505	+	0.869743i	$0.335716\pi$
$854$	−1.38146e13	+	8.88945e12i	−0.888747	+	0.571892i
$855$	−1.25490e12	+	5.19798e11i	−0.0803087	+	0.0332650i
$856$	−5.25696e12	+	3.13149e12i	−0.334659	+	0.199351i
$857$	−6.70661e11	−	2.77797e11i	−0.0424707	−	0.0175919i	0.361347	−	0.932431i	$-0.382317\pi$
$857$	−6.70661e11	−	2.77797e11i	−0.0424707	−	0.0175919i	−0.403818	+	0.914839i	$0.632317\pi$
$858$	−3.87995e9	−	2.14339e10i	−0.000244418	−	0.00135023i
$859$	−6.14096e11	+	3.08727e12i	−0.0384828	+	0.193466i	−0.995245	−	0.0974060i	$-0.968945\pi$
$859$	−6.14096e11	+	3.08727e12i	−0.0384828	+	0.193466i	0.956762	+	0.290872i	$0.0939455\pi$
$860$	−2.48844e12	+	9.31433e11i	−0.155126	+	0.0580642i
$861$	−5.94047e9	+	8.89054e9i	−0.000368389	+	0.000551333i
$862$	4.34423e12	−	4.19672e12i	0.267997	−	0.258897i
$863$			1.95092e13i			1.19727i	0.801022	+	0.598635i	$0.204290\pi$
$863$			1.95092e13i			1.19727i	−0.801022	+	0.598635i	$0.795710\pi$
$864$	−3.60567e10	+	1.24129e11i	−0.00220128	+	0.00757813i
$865$		−	3.51797e13i		−	2.13658i
$866$	1.93839e13	+	2.00652e13i	1.17115	+	1.21231i
$867$	−3.10614e10	+	4.64867e10i	−0.00186696	+	0.00279410i
$868$	1.86412e13	+	8.48702e12i	1.11464	+	0.507477i
$869$	1.79285e12	−	9.01325e12i	0.106648	−	0.536158i
$870$	−1.21391e11	+	2.19741e10i	−0.00718373	+	0.00130039i
$871$	1.07143e13	+	4.43801e12i	0.630786	+	0.261280i
$872$	3.47272e12	+	2.38583e13i	0.203397	+	1.39738i
$873$	−1.65000e13	+	6.83452e12i	−0.961435	+	0.398239i
$874$	−8.27061e11	−	1.28529e12i	−0.0479442	−	0.0745075i
$875$	−3.20709e12	+	2.14291e12i	−0.184959	+	0.123585i
$876$	−1.79196e10	+	7.62273e10i	−0.00102816	+	0.00437363i
$877$	1.05009e12	+	5.27917e12i	0.0599417	+	0.301347i	0.999113	−	0.0421008i	$-0.0134051\pi$
$877$	1.05009e12	+	5.27917e12i	0.0599417	+	0.301347i	−0.939172	+	0.343448i	$0.888405\pi$
$878$	9.23213e12	+	2.34245e13i	0.524296	+	1.33029i
$879$	−5.04969e9	+	5.04969e9i	−0.000285309	+	0.000285309i
$880$	−7.50745e12	−	2.23827e13i	−0.422007	−	1.25817i
$881$	−2.08388e13	−	2.08388e13i	−1.16542	−	1.16542i	−0.983272	−	0.182145i	$-0.941696\pi$
$881$	−2.08388e13	−	2.08388e13i	−1.16542	−	1.16542i	−0.182145	−	0.983272i	$-0.558304\pi$
$882$	−1.08180e12	+	2.48922e12i	−0.0601919	+	0.138502i
$883$	2.43159e13	−	4.83673e12i	1.34607	−	0.267750i	0.531126	−	0.847293i	$-0.321769\pi$
$883$	2.43159e13	−	4.83673e12i	1.34607	−	0.267750i	0.814942	+	0.579543i	$0.196769\pi$
$884$	1.57421e12	−	2.18841e12i	0.0867016	−	0.120529i
$885$	−1.42415e10	−	2.13139e10i	−0.000780389	−	0.00116793i
$886$	−1.45917e13	−	3.16536e12i	−0.795526	−	0.172573i
$887$	5.59873e11	+	1.35165e12i	0.0303692	+	0.0733178i	0.938337	−	0.345723i	$-0.112366\pi$
$887$	5.59873e11	+	1.35165e12i	0.0303692	+	0.0733178i	−0.907967	+	0.419041i	$0.862366\pi$
$888$	4.53189e9	−	4.08506e9i	0.000244580	−	0.000220465i
$889$	3.51892e12	−	8.49542e12i	0.188952	−	0.456170i
$890$	−1.02065e13	−	7.07771e12i	−0.545281	−	0.378127i
$891$	1.66439e13	+	3.31068e12i	0.884718	+	0.175981i
$892$	−8.89742e11	+	2.57501e13i	−0.0470568	+	1.36187i
$893$	1.26561e12	+	8.45653e11i	0.0665991	+	0.0445001i
$894$	−5.69468e10	−	9.83547e8i	−0.00298161	−	5.14963e-5i
$895$	2.97774e13			1.55125
$896$	8.73345e12	−	1.54827e13i	0.452689	−	0.802530i
$897$	4.42227e10			0.00228076
$898$	4.22725e12	+	7.30103e10i	0.216927	+	0.00374663i
$899$	−2.72233e13	−	1.81901e13i	−1.39003	−	0.928785i
$900$	7.91235e11	−	2.28992e13i	0.0401989	−	1.16340i
$901$	1.38180e13	+	2.74858e12i	0.698530	+	0.138946i
$902$	2.68790e12	+	1.86393e12i	0.135202	+	0.0937565i
$903$	3.12987e9	−	7.55618e9i	0.000156651	−	0.000378188i
$904$	1.28216e13	+	1.42240e13i	0.638533	+	0.708378i
$905$	1.92918e13	+	4.65744e13i	0.955989	+	2.30796i
$906$	1.20810e11	+	2.62071e10i	0.00595697	+	0.00129224i
$907$	−2.14740e12	−	3.21381e12i	−0.105361	−	0.157684i	0.775043	−	0.631909i	$-0.217728\pi$
$907$	−2.14740e12	−	3.21381e12i	−0.105361	−	0.157684i	−0.880404	+	0.474225i	$0.842728\pi$
$908$	−1.11779e13	+	1.55391e13i	−0.545723	+	0.758645i
$909$	−1.50683e13	+	2.99728e12i	−0.732028	+	0.145609i
$910$	−4.30848e12	+	9.91381e12i	−0.208275	+	0.479241i
$911$	−2.47394e13	−	2.47394e13i	−1.19003	−	1.19003i	−0.977059	−	0.212969i	$-0.931687\pi$
$911$	−2.47394e13	−	2.47394e13i	−1.19003	−	1.19003i	−0.212969	−	0.977059i	$-0.568313\pi$
$912$	2.17022e9	−	4.36081e9i	0.000103879	−	0.000208733i
$913$	−6.31728e12	+	6.31728e12i	−0.300892	+	0.300892i
$914$	−9.39942e12	−	2.38490e13i	−0.445495	−	1.13035i
$915$	−2.75398e10	−	1.38452e11i	−0.00129887	−	0.00652986i
$916$	8.12337e12	−	3.45556e13i	0.381247	−	1.62177i
$917$	2.57553e12	−	1.72092e12i	0.120283	−	0.0803707i
$918$	−3.53885e10	−	5.49955e10i	−0.00164464	−	0.00255585i
$919$	−1.37409e13	+	5.69167e12i	−0.635471	+	0.263221i	−0.677075	−	0.735914i	$-0.736753\pi$
$919$	−1.37409e13	+	5.69167e12i	−0.635471	+	0.263221i	0.0416049	+	0.999134i	$0.486753\pi$
$920$	4.74300e13	−	6.90371e12i	2.18277	−	0.317715i
$921$	1.18506e11	+	4.90869e10i	0.00542716	+	0.00224801i
$922$	1.25538e13	−	2.27248e12i	0.572120	−	0.103565i
$923$	−1.02697e12	+	5.16292e12i	−0.0465747	+	0.234147i
$924$	6.61372e10	+	3.01111e10i	0.00298485	+	0.00135895i
$925$	−1.20174e12	+	1.79852e12i	−0.0539723	+	0.0807753i
$926$	4.18773e12	+	4.33493e12i	0.187167	+	0.193746i
$927$			6.19590e12i			0.275579i
$928$	−1.77654e13	+	2.21769e13i	−0.786339	+	0.981603i
$929$			5.12582e12i			0.225784i	0.993607	+	0.112892i	$0.0360114\pi$
$929$			5.12582e12i			0.225784i	−0.993607	+	0.112892i	$0.963989\pi$
$930$	−1.26586e11	+	1.22288e11i	−0.00554898	+	0.00536056i
$931$	1.13646e11	−	1.70084e11i	0.00495772	−	0.00741976i
$932$	1.77046e13	−	6.62690e12i	0.768626	−	0.287699i
$933$	−3.12578e10	+	1.57144e11i	−0.00135049	+	0.00678936i
$934$	8.80428e11	+	4.86373e12i	0.0378558	+	0.209126i
$935$	1.10351e13	+	4.57089e12i	0.472198	+	0.195591i
$936$	−4.63275e12	−	7.77720e12i	−0.197287	−	0.331194i
$937$	1.15927e13	−	4.80187e12i	0.491312	−	0.203508i	−0.123251	−	0.992375i	$-0.539332\pi$
$937$	1.15927e13	−	4.80187e12i	0.491312	−	0.203508i	0.614564	+	0.788867i	$0.289332\pi$
$938$	−3.25358e13	+	2.09362e13i	−1.37230	+	0.883048i
$939$	5.81517e9	−	3.88557e9i	0.000244100	−	0.000163102i
$940$	−4.05810e13	+	2.51329e13i	−1.69530	+	1.04995i
$941$	−6.82978e12	−	3.43356e13i	−0.283958	−	1.42755i	−0.814633	−	0.579976i	$-0.803062\pi$
$941$	−6.82978e12	−	3.43356e13i	−0.283958	−	1.42755i	0.530676	−	0.847575i	$-0.321938\pi$
$942$	1.30096e11	−	5.12738e10i	0.00538313	−	0.00212161i
$943$	−4.69571e12	+	4.69571e12i	−0.193374	+	0.193374i
$944$	−5.69769e12	−	1.54887e12i	−0.233521	−	0.0634807i
$945$	1.85426e11	+	1.85426e11i	0.00756356	+	0.00756356i
$946$	−2.29462e12	−	9.97229e11i	−0.0931539	−	0.0404841i
$947$	−5.46838e12	+	1.08773e12i	−0.220945	+	0.0439487i	−0.304321	−	0.952569i	$-0.598430\pi$
$947$	−5.46838e12	+	1.08773e12i	−0.220945	+	0.0439487i	0.0833764	+	0.996518i	$0.473430\pi$
$948$	9.57943e9	+	5.86840e10i	0.000385214	+	0.00235984i
$949$	−6.09349e12	−	9.11955e12i	−0.243875	−	0.364985i
$950$	−3.66098e11	+	1.68764e12i	−0.0145828	+	0.0672239i
$951$	5.17238e10	+	1.24872e11i	0.00205059	+	0.00495055i
$952$	3.00679e12	+	8.47608e12i	0.118642	+	0.334448i
$953$	−7.34897e12	+	1.77420e13i	−0.288608	+	0.696761i	−0.999982	−	0.00605275i	$-0.998073\pi$
$953$	−7.34897e12	+	1.77420e13i	−0.288608	+	0.696761i	0.711374	+	0.702814i	$0.248073\pi$
$954$	2.69595e13	−	3.88772e13i	1.05377	−	1.51959i
$955$	−2.93951e13	−	5.84704e12i	−1.14356	−	0.227468i
$956$	3.12900e12	−	2.91999e12i	0.121156	−	0.113063i
$957$	−9.65858e10	−	6.45365e10i	−0.00372228	−	0.00248715i
$958$	7.29048e11	−	4.22114e13i	0.0279648	−	1.61914i
$959$	3.61633e11			0.0138065
$960$	9.62605e10	+	1.18604e11i	0.00365787	+	0.00450692i
$961$	−2.02733e13			−0.766775
$962$	−1.47577e10	+	8.54463e11i	−0.000555561	+	0.0321666i
$963$	−8.64380e12	−	5.77560e12i	−0.323882	−	0.216411i
$964$	2.09613e13	+	2.24617e13i	0.781758	+	0.837716i
$965$	4.11082e13	+	8.17693e12i	1.52600	+	0.303541i
$966$	−8.40718e10	+	1.21237e11i	−0.00310637	+	0.00447957i
$967$	1.37278e13	−	3.31419e13i	0.504874	−	1.21887i	−0.441926	−	0.897051i	$-0.645705\pi$
$967$	1.37278e13	−	3.31419e13i	0.504874	−	1.21887i	0.946800	−	0.321822i	$-0.104295\pi$
$968$	−2.18759e12	+	4.59289e12i	−0.0800805	+	0.168131i
$969$	9.43093e8	+	2.27683e9i	3.43635e−5	+	8.29608e-5i
$970$	−8.94862e12	+	4.12514e13i	−0.324551	+	1.49612i
$971$	9.89575e12	+	1.48100e13i	0.357242	+	0.534650i	0.965945	−	0.258748i	$-0.0833100\pi$
$971$	9.89575e12	+	1.48100e13i	0.357242	+	0.534650i	−0.608703	+	0.793398i	$0.708310\pi$
$972$	−3.25107e11	+	5.30696e10i	−0.0116823	+	0.00190699i
$973$	−3.89250e13	+	7.74266e12i	−1.39226	+	0.276938i
$974$	3.51966e13	+	1.52962e13i	1.25310	+	0.544589i
$975$	−3.53312e10	−	3.53312e10i	−0.00125210	−	0.00125210i
$976$	−2.57242e13	−	1.98876e13i	−0.907438	−	0.701548i
$977$	−1.08704e13	+	1.08704e13i	−0.381698	+	0.381698i	−0.871714	−	0.490016i	$-0.836991\pi$
$977$	−1.08704e13	+	1.08704e13i	−0.381698	+	0.381698i	0.490016	+	0.871714i	$0.336991\pi$
$978$	1.35354e11	−	5.33459e10i	0.00473091	−	0.00186456i
$979$	−2.28165e12	−	1.14706e13i	−0.0793830	−	0.399085i
$980$	3.37758e12	+	5.45363e12i	0.116974	+	0.188872i
$981$	−3.40579e13	+	2.27568e13i	−1.17411	+	0.784513i
$982$	−1.62931e13	+	1.04843e13i	−0.559118	+	0.359782i
$983$	3.52127e13	−	1.45856e13i	1.20284	−	0.498233i	0.310925	−	0.950435i	$-0.399361\pi$
$983$	3.52127e13	−	1.45856e13i	1.20284	−	0.498233i	0.891916	+	0.452202i	$0.149361\pi$
$984$	−2.05156e10	−	5.19826e9i	−0.000697599	−	0.000176759i
$985$	7.21128e13	+	2.98701e13i	2.44090	+	1.01105i
$986$	−2.56078e12	−	1.41465e13i	−0.0862832	−	0.476653i
$987$	2.86646e10	−	1.44106e11i	0.000961431	−	0.00483344i
$988$	2.39169e11	+	6.38971e11i	0.00798544	+	0.0213341i
$989$	2.82202e12	−	4.22345e12i	0.0937944	−	0.140373i
$990$	2.88470e13	−	2.78674e13i	0.954424	−	0.922016i
$991$		−	8.98676e12i		−	0.295986i	−0.988988	−	0.147993i	$-0.952719\pi$
$991$		−	8.98676e12i		−	0.295986i	0.988988	−	0.147993i	$-0.0472813\pi$
$992$	−3.49628e12	+	4.03898e13i	−0.114631	+	1.32425i
$993$			1.16345e11i			0.00379731i
$994$	−1.22018e13	−	1.26307e13i	−0.396446	−	0.410381i
$995$	−7.74649e12	+	1.15934e13i	−0.250554	+	0.374980i
$996$	2.39521e10	−	5.26094e10i	0.000771218	−	0.00169393i
$997$	1.15305e13	−	5.79675e13i	0.369588	−	1.85805i	−0.129619	−	0.991564i	$-0.541375\pi$
$997$	1.15305e13	−	5.79675e13i	0.369588	−	1.85805i	0.499207	−	0.866483i	$-0.333625\pi$
$998$	9.33193e11	−	1.68926e11i	0.0297772	−	0.00539025i
$999$	1.91536e10	+	7.93367e9i	0.000608423	+	0.000252017i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	64.10.i.a.5.2	✓	568
64.13	even	16	inner	64.10.i.a.13.2	yes	568

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
64.10.i.a.5.2	✓	568	1.1	even	1	trivial
64.10.i.a.13.2	yes	568	64.13	even	16	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 64 = 2^{6} \)
Weight:	\( k \)	\(=\)	\( 10 \)
Character orbit:	\([\chi]\)	\(=\)	64.i (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-22.6240 - 0.390747i) q^{2} +(0.460275 + 0.307546i) q^{3} +(511.695 + 17.6806i) q^{4} +(2016.41 + 401.089i) q^{5} +(-10.2931 - 7.13779i) q^{6} +(-2239.91 + 5407.61i) q^{7} +(-11569.7 - 599.949i) q^{8} +(-7532.24 - 18184.4i) q^{9} +(-45462.6 - 9862.16i) q^{10} +(-24336.5 - 36422.1i) q^{11} +(230.083 + 165.508i) q^{12} +(-38936.0 + 7744.86i) q^{13} +(52788.8 - 121467. i) q^{14} +(804.750 + 804.750i) q^{15} +(261519. + 18094.1i) q^{16} +(-93782.7 + 93782.7i) q^{17} +(163304. + 414349. i) q^{18} +(-6548.49 - 32921.5i) q^{19} +(1.02469e6 + 240886. i) q^{20} +(-2694.07 + 1800.12i) q^{21} +(536357. + 833524. i) q^{22} +(-1.85914e6 + 770080. i) q^{23} +(-5140.73 - 3834.36i) q^{24} +(2.10058e6 + 870090. i) q^{25} +(883917. - 160006. i) q^{26} +(4251.33 - 21372.9i) q^{27} +(-1.24176e6 + 2.72744e6i) q^{28} +(2.66143e6 - 3.98312e6i) q^{29} +(-17892.3 - 18521.2i) q^{30} -6.83468e6i q^{31} +(-5.90954e6 - 511550. i) q^{32} -24248.8i q^{33} +(2.15839e6 - 2.08510e6i) q^{34} +(-6.68551e6 + 1.00056e7i) q^{35} +(-3.53270e6 - 9.43805e6i) q^{36} +(-185601. + 933081. i) q^{37} +(135289. + 747376. i) q^{38} +(-20303.2 - 8409.86i) q^{39} +(-2.30886e7 - 5.85022e6i) q^{40} +(3.04884e6 - 1.26287e6i) q^{41} +(61654.0 - 39673.2i) q^{42} +(-2.09880e6 + 1.40238e6i) q^{43} +(-1.18089e7 - 1.90673e7i) q^{44} +(-7.89451e6 - 3.96884e7i) q^{45} +(4.23621e7 - 1.66959e7i) q^{46} +(-3.20651e7 + 3.20651e7i) q^{47} +(114806. + 88757.4i) q^{48} +(4.30920e6 + 4.30920e6i) q^{49} +(-4.71837e7 - 2.05058e7i) q^{50} +(-72008.4 + 14323.4i) q^{51} +(-2.00603e7 + 3.27459e6i) q^{52} +(-5.90165e7 - 8.83245e7i) q^{53} +(-104534. + 481880. i) q^{54} +(-3.44638e7 - 8.32029e7i) q^{55} +(2.91593e7 - 6.12206e7i) q^{56} +(7110.77 - 17166.9i) q^{57} +(-6.17688e7 + 8.90743e7i) q^{58} +(-2.20910e7 - 4.39417e6i) q^{59} +(397558. + 426015. i) q^{60} +(-1.03132e8 - 6.89108e7i) q^{61} +(-2.67063e6 + 1.54628e8i) q^{62} +1.15206e8 q^{63} +(1.33498e8 + 1.38825e7i) q^{64} -8.16174e7 q^{65} +(-9475.15 + 548605. i) q^{66} +(-2.42894e8 - 1.62297e8i) q^{67} +(-4.96462e7 + 4.63300e7i) q^{68} +(-1.09255e6 - 217322. i) q^{69} +(1.55163e8 - 2.23754e8i) q^{70} +(5.07439e7 - 1.22507e8i) q^{71} +(7.62360e7 + 2.14907e8i) q^{72} +(1.05728e8 + 2.55249e8i) q^{73} +(4.56365e6 - 2.10375e7i) q^{74} +(699254. + 1.04651e6i) q^{75} +(-2.76876e6 - 1.69615e7i) q^{76} +(2.51468e8 - 5.00201e7i) q^{77} +(456054. + 198198. i) q^{78} +(1.48345e8 + 1.48345e8i) q^{79} +(5.20072e8 + 1.41377e8i) q^{80} +(-2.73935e8 + 2.73935e8i) q^{81} +(-6.94706e7 + 2.73799e7i) q^{82} +(-3.97889e7 - 2.00032e8i) q^{83} +(-1.41037e6 + 873478. i) q^{84} +(-2.26720e8 + 1.51489e8i) q^{85} +(4.80314e7 - 3.09073e7i) q^{86} +(2.44999e6 - 1.01482e6i) q^{87} +(2.59714e8 + 4.35993e8i) q^{88} +(2.46667e8 + 1.02173e8i) q^{89} +(1.63098e8 + 9.00996e8i) q^{90} +(4.53319e7 - 2.27899e8i) q^{91} +(-9.64926e8 + 3.61175e8i) q^{92} +(2.10198e6 - 3.14584e6i) q^{93} +(7.37972e8 - 7.12913e8i) q^{94} -6.90098e7i q^{95} +(-2.56269e6 - 2.05291e6i) q^{96} -9.07369e8i q^{97} +(-9.58076e7 - 9.91752e7i) q^{98} +(-4.79007e8 + 7.16885e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 568 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 157456 q^{99}+O(q^{100}) \) 568 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 + 3576336 * q^22 - 8 * q^23 + 12096992 * q^24 - 8 * q^25 - 2105968 * q^26 - 8 * q^27 - 21791488 * q^28 - 8 * q^29 + 44263272 * q^30 + 29441312 * q^32 - 38537008 * q^34 - 8 * q^35 - 110500728 * q^36 - 8 * q^37 + 66947312 * q^38 - 8 * q^39 + 97089632 * q^40 - 8 * q^41 - 224559088 * q^42 - 8 * q^43 + 146176992 * q^44 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 + 182758288 * q^50 - 360057320 * q^51 - 25227512 * q^52 - 8 * q^53 - 646232264 * q^54 + 280217656 * q^55 + 203163008 * q^56 - 8 * q^57 + 855153280 * q^58 - 576150472 * q^59 + 230939416 * q^60 - 8 * q^61 - 597609496 * q^62 + 1260236864 * q^63 - 1364809832 * q^64 - 16 * q^65 + 186013784 * q^66 - 1007094968 * q^67 + 1004327944 * q^68 - 8 * q^69 + 1869092056 * q^70 - 476202952 * q^71 - 714729104 * q^72 - 8 * q^73 - 2182183312 * q^74 + 2309166136 * q^75 - 888710984 * q^76 - 8 * q^77 + 5243787376 * q^78 - 2269128680 * q^79 - 5193915232 * q^80 - 8 * q^81 + 3136405672 * q^82 - 8 * q^83 + 6148771880 * q^84 - 8 * q^85 - 988828368 * q^86 - 8 * q^87 - 4940685368 * q^88 - 8 * q^89 - 7222410008 * q^90 - 8 * q^91 + 1729489584 * q^92 + 157456 * q^93 + 6710490136 * q^94 + 10366581632 * q^96 + 2543861360 * q^98 + 157456 * q^99

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