LMFDB - Embedded newform 95.11.q.a.17.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,11,Mod(17,95)] 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("95.17"); S:= CuspForms(chi, 11); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 20])) N = Newforms(chi, 11, names="a")

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 11 $
Character orbit:	$[\chi]$	$=$	95.q (of order $36$, degree $12$, 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:	$60.3589390040$
Analytic rank:	$0$
Dimension:	$1176$
Relative dimension:	$98$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			17.1
Character	$\chi$	$=$	95.17
Dual form			95.11.q.a.28.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-50.7659 + 35.5466i) q^{2} +(-234.369 + 20.5046i) q^{3} +(963.381 - 2646.87i) q^{4} +(-362.646 + 3103.89i) q^{5} +(11169.1 - 9371.95i) q^{6} +(7490.51 - 27955.0i) q^{7} +(28755.4 + 107317. i) q^{8} +(-3643.75 + 642.492i) q^{9} +(-91922.7 - 170462. i) q^{10} +(14262.6 - 24703.6i) q^{11} +(-171513. + 640096. i) q^{12} +(-13721.3 + 156835. i) q^{13} +(613443. + 1.68542e6i) q^{14} +(21348.9 - 734889. i) q^{15} +(-3.06501e6 - 2.57185e6i) q^{16} +(-1.94440e6 + 1.36149e6i) q^{17} +(162140. - 162140. i) q^{18} +(-2.40755e6 - 578607. i) q^{19} +(7.86621e6 + 3.95010e6i) q^{20} +(-1.18233e6 + 6.70535e6i) q^{21} +(154075. + 1.76109e6i) q^{22} +(882674. - 411598. i) q^{23} +(-8.93985e6 - 2.45620e7i) q^{24} +(-9.50260e6 - 2.25122e6i) q^{25} +(-4.87838e6 - 8.44961e6i) q^{26} +(1.42595e7 - 3.82083e6i) q^{27} +(-6.67768e7 - 4.67576e7i) q^{28} +(-1.89788e7 + 3.34647e6i) q^{29} +(2.50390e7 + 3.80662e7i) q^{30} +(-2.69646e6 - 4.67041e6i) q^{31} +(1.33683e8 + 1.16957e7i) q^{32} +(-2.83618e6 + 6.08220e6i) q^{33} +(5.03131e7 - 1.38234e8i) q^{34} +(8.40526e7 + 3.33875e7i) q^{35} +(-1.80973e6 + 1.02635e7i) q^{36} +(3.98200e7 + 3.98200e7i) q^{37} +(1.42789e8 - 5.62067e7i) q^{38} -3.70385e7i q^{39} +(-3.43527e8 + 5.03356e7i) q^{40} +(-3.50590e7 - 2.94180e7i) q^{41} +(-1.78331e8 - 3.82431e8i) q^{42} +(7.97812e7 - 1.71091e8i) q^{43} +(-5.16469e7 - 6.15503e7i) q^{44} +(-672829. - 1.15428e7i) q^{45} +(-3.01788e7 + 5.22712e7i) q^{46} +(8.74372e7 - 1.24873e8i) q^{47} +(7.71077e8 + 5.39914e8i) q^{48} +(-4.80741e8 - 2.77556e8i) q^{49} +(5.62431e8 - 2.23500e8i) q^{50} +(4.27790e8 - 3.58959e8i) q^{51} +(4.01902e8 + 1.87410e8i) q^{52} +(-2.69407e8 + 1.25626e8i) q^{53} +(-5.88080e8 + 7.00846e8i) q^{54} +(7.15050e7 + 5.32283e7i) q^{55} +3.21543e9 q^{56} +(5.76117e8 + 8.62416e7i) q^{57} +(8.44519e8 - 8.44519e8i) q^{58} +(-7.91363e8 - 1.39539e8i) q^{59} +(-1.92459e9 - 7.64486e8i) q^{60} +(-1.08987e9 - 3.96679e8i) q^{61} +(3.02906e8 + 1.41247e8i) q^{62} +(-9.33272e6 + 1.06674e8i) q^{63} +(-3.65405e9 + 2.10967e9i) q^{64} +(-4.81822e8 - 9.94649e7i) q^{65} +(-7.22209e7 - 4.09585e8i) q^{66} +(-1.13740e9 + 1.62437e9i) q^{67} +(1.73047e9 + 6.45821e9i) q^{68} +(-1.98431e8 + 1.14564e8i) q^{69} +(-5.45382e9 + 1.29285e9i) q^{70} +(1.12987e9 - 4.11239e8i) q^{71} +(-1.73728e8 - 3.72560e8i) q^{72} +(-2.10605e9 + 1.84256e8i) q^{73} +(-3.43697e9 - 6.06030e8i) q^{74} +(2.27327e9 + 3.32769e8i) q^{75} +(-3.85088e9 + 5.81503e9i) q^{76} +(-5.83755e8 - 5.83755e8i) q^{77} +(1.31660e9 + 1.88029e9i) q^{78} +(7.18852e8 - 8.56694e8i) q^{79} +(9.09425e9 - 8.58078e9i) q^{80} +(-3.05834e9 + 1.11314e9i) q^{81} +(2.82551e9 + 2.47200e8i) q^{82} +(4.38352e8 + 1.17456e8i) q^{83} +(1.66091e10 + 9.58929e9i) q^{84} +(-3.52077e9 - 6.52895e9i) q^{85} +(2.03156e9 + 1.15216e10i) q^{86} +(4.37941e9 - 1.17346e9i) q^{87} +(3.06124e9 + 8.20257e8i) q^{88} +(-1.88749e9 - 2.24942e9i) q^{89} +(4.44464e8 + 5.62063e8i) q^{90} +(4.28154e9 + 1.55835e9i) q^{91} +(-2.39093e8 - 2.73284e9i) q^{92} +(7.27731e8 + 1.03931e9i) q^{93} +9.44740e9i q^{94} +(2.66902e9 - 7.26292e9i) q^{95} -3.15708e10 q^{96} +(1.31127e10 - 9.18163e9i) q^{97} +(3.42714e10 - 2.99836e9i) q^{98} +(-3.60977e7 + 9.91775e7i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1176 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 14604 q^{6} - 11688 q^{7} - 6 q^{8} - 12 q^{10} - 12 q^{11} - 6 q^{12} - 12 q^{13} + 3424146 q^{15} - 13618884 q^{16} - 3657378 q^{17} - 23774232 q^{18} + 38894436 q^{20}+ \cdots - 86078409906 q^{98}+O(q^{100}) $ 1176 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 14604 * q^6 - 11688 * q^7 - 6 * q^8 - 12 * q^10 - 12 * q^11 - 6 * q^12 - 12 * q^13 + 3424146 * q^15 - 13618884 * q^16 - 3657378 * q^17 - 23774232 * q^18 + 38894436 * q^20 - 8689704 * q^21 - 22604556 * q^22 - 32885808 * q^23 + 42291732 * q^25 - 319452 * q^26 - 6 * q^27 + 144277488 * q^28 - 6 * q^30 - 12 * q^31 - 304326750 * q^32 + 265207902 * q^33 - 173435754 * q^35 - 288159144 * q^36 - 24 * q^37 + 1298228634 * q^38 - 1334600346 * q^40 + 659462736 * q^41 + 362797044 * q^42 - 961639656 * q^43 + 161157936 * q^45 - 12 * q^46 - 886017372 * q^47 + 1630739472 * q^48 + 2215521786 * q^50 + 1125126576 * q^51 + 6132 * q^52 - 657601770 * q^53 - 3332318022 * q^55 - 48 * q^56 - 967967226 * q^57 - 7596060648 * q^58 + 3688833012 * q^60 + 1851266016 * q^61 + 845228664 * q^62 + 3514567662 * q^63 - 1840657236 * q^65 + 19323290088 * q^66 + 20641904172 * q^67 - 5240868870 * q^68 - 8235161100 * q^70 - 24 * q^71 - 64729344936 * q^72 - 3449985870 * q^73 - 34306313016 * q^75 + 10512445536 * q^76 + 46076293368 * q^77 - 51672410862 * q^78 + 20602412592 * q^80 + 46901590776 * q^81 - 12506757996 * q^82 + 22786639188 * q^83 - 22949887236 * q^85 - 81567902124 * q^86 + 3763013226 * q^87 + 8846542842 * q^88 + 87014491266 * q^90 + 37012815456 * q^91 - 35376892980 * q^92 + 96817414890 * q^93 - 20594188944 * q^95 + 84921616752 * q^96 - 9492824088 * q^97 - 86078409906 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−50.7659	+	35.5466i	−1.58643	+	1.11083i	−0.650029	+	0.759910i	$0.725243\pi$
$2$	−50.7659	+	35.5466i	−1.58643	+	1.11083i	−0.936404	+	0.350923i	$0.885868\pi$
$3$	−234.369	+	20.5046i	−0.964479	+	0.0843810i	−0.558503	−	0.829503i	$-0.688624\pi$
$3$	−234.369	+	20.5046i	−0.964479	+	0.0843810i	−0.405976	+	0.913884i	$0.633069\pi$
$4$	963.381	−	2646.87i	0.940801	−	2.58483i
$5$	−362.646	+	3103.89i	−0.116047	+	0.993244i
$5$	−362.646	+	3103.89i	−0.116047	+	0.993244i
$6$	11169.1	−	9371.95i	1.43635	−	1.20524i
$7$	7490.51	−	27955.0i	0.445678	−	1.66329i	−0.268462	−	0.963290i	$-0.586515\pi$
$7$	7490.51	−	27955.0i	0.445678	−	1.66329i	0.714140	−	0.700003i	$-0.246818\pi$
$8$	28755.4	+	107317.i	0.877546	+	3.27505i
$9$	−3643.75	+	642.492i	−0.0617072	+	0.0108807i
$10$	−91922.7	−	170462.i	−0.919227	−	1.70462i
$11$	14262.6	−	24703.6i	0.0885598	−	0.153390i	−0.818343	−	0.574730i	$-0.805107\pi$
$11$	14262.6	−	24703.6i	0.0885598	−	0.153390i	0.906903	+	0.421340i	$0.138440\pi$
$12$	−171513.	+	640096.i	−0.689273	+	2.57240i
$13$	−13721.3	+	156835.i	−0.0369554	+	0.422402i	0.955071	+	0.296376i	$0.0957780\pi$
$13$	−13721.3	+	156835.i	−0.0369554	+	0.422402i	−0.992027	+	0.126027i	$0.959778\pi$
$14$	613443.	+	1.68542e6i	1.14060	+	3.13378i
$15$	21348.9	−	734889.i	0.0281138	−	0.967755i
$16$	−3.06501e6	−	2.57185e6i	−2.92302	−	2.45271i
$17$	−1.94440e6	+	1.36149e6i	−1.36944	+	0.958890i	−0.369881	+	0.929079i	$0.620601\pi$
$17$	−1.94440e6	+	1.36149e6i	−1.36944	+	0.958890i	−0.999556	+	0.0298103i	$0.990510\pi$
$18$	162140.	−	162140.i	0.0858078	−	0.0858078i
$19$	−2.40755e6	−	578607.i	−0.972314	−	0.233677i
$19$	−2.40755e6	−	578607.i	−0.972314	−	0.233677i
$20$	7.86621e6	+	3.95010e6i	2.45819	+	1.23441i
$21$	−1.18233e6	+	6.70535e6i	−0.289497	+	1.64182i
$22$	154075.	+	1.76109e6i	0.0298965	+	0.341718i
$23$	882674.	−	411598.i	0.137139	−	0.0639490i	−0.352837	−	0.935685i	$-0.614783\pi$
$23$	882674.	−	411598.i	0.137139	−	0.0639490i	0.489976	+	0.871736i	$0.337005\pi$
$24$	−8.93985e6	−	2.45620e7i	−1.12273	−	3.08467i
$25$	−9.50260e6	−	2.25122e6i	−0.973066	−	0.230525i
$26$	−4.87838e6	−	8.44961e6i	−0.410591	−	0.711164i
$27$	1.42595e7	−	3.82083e6i	0.993772	−	0.266280i
$28$	−6.67768e7	−	4.67576e7i	−3.88004	−	2.71683i
$29$	−1.89788e7	+	3.34647e6i	−0.925291	+	0.163154i	−0.615939	−	0.787794i	$-0.711223\pi$
$29$	−1.89788e7	+	3.34647e6i	−0.925291	+	0.163154i	−0.309352	+	0.950948i	$0.600112\pi$
$30$	2.50390e7	+	3.80662e7i	1.03041	+	1.56651i
$31$	−2.69646e6	−	4.67041e6i	−0.0941860	−	0.163135i	0.815083	−	0.579345i	$-0.196691\pi$
$31$	−2.69646e6	−	4.67041e6i	−0.0941860	−	0.163135i	−0.909269	+	0.416210i	$0.863358\pi$
$32$	1.33683e8	+	1.16957e7i	3.98405	+	0.348560i
$33$	−2.83618e6	+	6.08220e6i	−0.0724709	+	0.155414i
$34$	5.03131e7	−	1.38234e8i	1.10735	−	3.04243i
$35$	8.40526e7	+	3.33875e7i	1.60034	+	0.635687i
$36$	−1.80973e6	+	1.02635e7i	−0.0299296	+	0.169739i
$37$	3.98200e7	+	3.98200e7i	0.574239	+	0.574239i	0.933310	−	0.359071i	$-0.116906\pi$
$37$	3.98200e7	+	3.98200e7i	0.574239	+	0.574239i	−0.359071	+	0.933310i	$0.616906\pi$
$38$	1.42789e8	−	5.62067e7i	1.80209	−	0.709365i
$39$		−	3.70385e7i		−	0.410517i
$40$	−3.43527e8	+	5.03356e7i	−3.35476	+	0.491559i
$41$	−3.50590e7	−	2.94180e7i	−0.302608	−	0.253918i	0.478821	−	0.877913i	$-0.341064\pi$
$41$	−3.50590e7	−	2.94180e7i	−0.302608	−	0.253918i	−0.781429	+	0.623994i	$0.785509\pi$
$42$	−1.78331e8	−	3.82431e8i	−1.36452	−	2.92622i
$43$	7.97812e7	−	1.71091e8i	0.542698	−	1.16382i	−0.423471	−	0.905910i	$-0.639188\pi$
$43$	7.97812e7	−	1.71091e8i	0.542698	−	1.16382i	0.966169	−	0.257910i	$-0.0830338\pi$
$44$	−5.16469e7	−	6.15503e7i	−0.313170	−	0.373222i
$45$	−672829.	−	1.15428e7i	−0.00364621	−	0.0625530i
$46$	−3.01788e7	+	5.22712e7i	−0.146525	+	0.253789i
$47$	8.74372e7	−	1.24873e8i	0.381248	−	0.544478i	−0.581967	−	0.813213i	$-0.697717\pi$
$47$	8.74372e7	−	1.24873e8i	0.381248	−	0.544478i	0.963214	+	0.268735i	$0.0866055\pi$
$48$	7.71077e8	+	5.39914e8i	3.02616	+	2.11894i
$49$	−4.80741e8	−	2.77556e8i	−1.70189	−	0.982586i
$50$	5.62431e8	−	2.23500e8i	1.79978	−	0.715200i
$51$	4.27790e8	−	3.58959e8i	1.23988	−	1.04038i
$52$	4.01902e8	+	1.87410e8i	1.05707	+	0.492920i
$53$	−2.69407e8	+	1.25626e8i	−0.644212	+	0.300401i	−0.717133	−	0.696937i	$-0.754546\pi$
$53$	−2.69407e8	+	1.25626e8i	−0.644212	+	0.300401i	0.0729206	+	0.997338i	$0.476768\pi$
$54$	−5.88080e8	+	7.00846e8i	−1.28076	+	1.52635i
$55$	7.15050e7	+	5.32283e7i	0.142077	+	0.105762i
$56$	3.21543e9			5.83846
$57$	5.76117e8	+	8.62416e7i	0.957495	+	0.143332i
$58$	8.44519e8	−	8.44519e8i	1.28668	−	1.28668i
$59$	−7.91363e8	−	1.39539e8i	−1.10692	−	0.195180i	−0.409828	−	0.912163i	$-0.634411\pi$
$59$	−7.91363e8	−	1.39539e8i	−1.10692	−	0.195180i	−0.697091	+	0.716983i	$0.745522\pi$
$60$	−1.92459e9	−	7.64486e8i	−2.47503	−	0.983135i
$61$	−1.08987e9	−	3.96679e8i	−1.29040	−	0.469666i	−0.396540	−	0.918017i	$-0.629789\pi$
$61$	−1.08987e9	−	3.96679e8i	−1.29040	−	0.469666i	−0.893858	+	0.448351i	$0.852012\pi$
$62$	3.02906e8	+	1.41247e8i	0.330635	+	0.154178i
$63$	−9.33272e6	+	1.06674e8i	−0.00940385	+	0.107486i
$64$	−3.65405e9	+	2.10967e9i	−3.40310	+	1.96478i
$65$	−4.81822e8	−	9.94649e7i	−0.415260	−	0.0857241i
$66$	−7.22209e7	−	4.09585e8i	−0.0576691	−	0.327058i
$67$	−1.13740e9	+	1.62437e9i	−0.842438	+	1.20313i	0.134778	+	0.990876i	$0.456968\pi$
$67$	−1.13740e9	+	1.62437e9i	−0.842438	+	1.20313i	−0.977215	+	0.212250i	$0.931921\pi$
$68$	1.73047e9	+	6.45821e9i	1.19020	+	4.44189i
$69$	−1.98431e8	+	1.14564e8i	−0.126872	+	0.0732494i
$70$	−5.45382e9	+	1.29285e9i	−3.24497	+	0.769231i
$71$	1.12987e9	−	4.11239e8i	0.626234	−	0.227930i	−0.00935749	−	0.999956i	$-0.502979\pi$
$71$	1.12987e9	−	4.11239e8i	0.626234	−	0.227930i	0.635591	+	0.772026i	$0.280756\pi$
$72$	−1.73728e8	−	3.72560e8i	−0.0897856	−	0.192546i
$73$	−2.10605e9	+	1.84256e8i	−1.01591	+	0.0888806i	−0.582929	−	0.812523i	$-0.698094\pi$
$73$	−2.10605e9	+	1.84256e8i	−1.01591	+	0.0888806i	−0.432980	+	0.901403i	$0.642538\pi$
$74$	−3.43697e9	−	6.06030e8i	−1.54888	−	0.273109i
$75$	2.27327e9	+	3.32769e8i	0.957954	+	0.140229i
$76$	−3.85088e9	+	5.81503e9i	−1.51877	+	2.29342i
$77$	−5.83755e8	−	5.83755e8i	−0.215664	−	0.215664i
$78$	1.31660e9	+	1.88029e9i	0.456015	+	0.651257i
$79$	7.18852e8	−	8.56694e8i	0.233617	−	0.278414i	−0.636481	−	0.771292i	$-0.719611\pi$
$79$	7.18852e8	−	8.56694e8i	0.233617	−	0.278414i	0.870098	+	0.492878i	$0.164055\pi$
$80$	9.09425e9	−	8.58078e9i	2.77534	−	2.61865i
$81$	−3.05834e9	+	1.11314e9i	−0.877123	+	0.319247i
$82$	2.82551e9	+	2.47200e8i	0.762128	+	0.0666776i
$83$	4.38352e8	+	1.17456e8i	0.111284	+	0.0298185i	0.314031	−	0.949413i	$-0.398320\pi$
$83$	4.38352e8	+	1.17456e8i	0.111284	+	0.0298185i	−0.202747	+	0.979231i	$0.564987\pi$
$84$	1.66091e10	+	9.58929e9i	3.97146	+	2.29293i
$85$	−3.52077e9	−	6.52895e9i	−0.793492	−	1.47146i
$86$	2.03156e9	+	1.15216e10i	0.431855	+	2.44917i
$87$	4.37941e9	−	1.17346e9i	0.878657	−	0.235436i
$88$	3.06124e9	+	8.20257e8i	0.580075	+	0.155431i
$89$	−1.88749e9	−	2.24942e9i	−0.338013	−	0.402829i	0.570085	−	0.821586i	$-0.306910\pi$
$89$	−1.88749e9	−	2.24942e9i	−0.338013	−	0.402829i	−0.908098	+	0.418757i	$0.862466\pi$
$90$	4.44464e8	+	5.62063e8i	0.0752704	+	0.0951858i
$91$	4.28154e9	+	1.55835e9i	0.686108	+	0.249723i
$92$	−2.39093e8	−	2.73284e9i	−0.0362767	−	0.414644i
$93$	7.27731e8	+	1.03931e9i	0.104606	+	0.149393i
$94$			9.44740e9i			1.28728i
$95$	2.66902e9	−	7.26292e9i	0.344932	−	0.938628i
$96$	−3.15708e10			−3.87195
$97$	1.31127e10	−	9.18163e9i	1.52698	−	1.06921i	0.555669	−	0.831403i	$-0.312462\pi$
$97$	1.31127e10	−	9.18163e9i	1.52698	−	1.06921i	0.971314	−	0.237802i	$-0.0764268\pi$
$98$	3.42714e10	−	2.99836e9i	3.79142	−	0.331706i
$99$	−3.60977e7	+	9.91775e7i	−0.00379580	+	0.0104289i
$100$	−1.51133e10	+	2.29833e10i	−1.51133	+	2.29833i
$101$	−6.43835e9	+	5.40242e9i	−0.612587	+	0.514022i	−0.895464	−	0.445135i	$-0.853156\pi$
$101$	−6.43835e9	+	5.40242e9i	−0.612587	+	0.514022i	0.282876	+	0.959156i	$0.408711\pi$
$102$	−8.95737e9	+	3.34294e10i	−0.811296	+	3.02780i
$103$	2.19148e9	+	8.17870e9i	0.189039	+	0.705502i	0.993730	+	0.111808i	$0.0356643\pi$
$103$	2.19148e9	+	8.17870e9i	0.189039	+	0.705502i	−0.804691	+	0.593694i	$0.797669\pi$
$104$	−1.72256e10	+	3.03734e9i	−1.41582	+	0.249647i
$105$	−2.03839e10	−	6.10150e9i	−1.59713	−	0.478069i
$106$	9.21106e9	−	1.59540e10i	0.688304	−	1.19218i
$107$	2.28834e9	−	8.54022e9i	0.163156	−	0.608906i	−0.835112	−	0.550079i	$-0.814598\pi$
$107$	2.28834e9	−	8.54022e9i	0.163156	−	0.608906i	0.998268	−	0.0588264i	$-0.0187358\pi$
$108$	3.62413e9	−	4.14240e10i	0.246652	−	2.81925i
$109$	−9.91894e8	−	2.72521e9i	−0.0644663	−	0.177120i	0.903277	−	0.429058i	$-0.141154\pi$
$109$	−9.91894e8	−	2.72521e9i	−0.0644663	−	0.177120i	−0.967743	+	0.251938i	$0.918932\pi$
$110$	−5.52210e9	−	1.60420e8i	−0.342879	−	0.00996081i
$111$	−1.01491e10	−	8.51607e9i	−0.602297	−	0.505387i
$112$	−9.48545e10	+	6.64178e10i	−5.38230	+	3.76873i
$113$	1.66867e10	−	1.66867e10i	0.905689	−	0.905689i	−0.0902319	−	0.995921i	$-0.528761\pi$
$113$	1.66867e10	−	1.66867e10i	0.905689	−	0.905689i	0.995921	+	0.0902319i	$0.0287608\pi$
$114$	−3.23127e10	+	1.61009e10i	−1.67822	+	0.836230i
$115$	9.57454e8	+	2.88898e9i	0.0476024	+	0.143634i
$116$	−9.42613e9	+	5.34582e10i	−0.448790	+	2.54522i
$117$	−5.07682e7	−	5.80283e8i	−0.00231560	−	0.0264674i
$118$	4.51344e10	−	2.10465e10i	1.97286	−	0.919962i
$119$	2.34957e10	+	6.45540e10i	0.984587	+	2.70513i
$120$	7.94798e10	−	1.88410e10i	3.19412	−	0.757176i
$121$	1.25619e10	+	2.17578e10i	0.484314	+	0.838857i
$122$	6.94285e10	−	1.86033e10i	2.56885	−	0.688322i
$123$	8.81993e9	+	6.17578e9i	0.313285	+	0.219365i
$124$	−1.49597e10	+	2.63780e9i	−0.510286	+	0.0899772i
$125$	1.04336e10	−	2.86786e10i	0.341889	−	0.939740i
$126$	−3.31810e9	−	5.74712e9i	−0.104481	−	0.180966i
$127$	−1.81656e10	−	1.58928e9i	−0.549833	−	0.0481042i	−0.191145	−	0.981562i	$-0.561220\pi$
$127$	−1.81656e10	−	1.58928e9i	−0.549833	−	0.0481042i	−0.358688	+	0.933458i	$0.616776\pi$
$128$	5.24359e10	−	1.12449e11i	1.52609	−	3.27270i
$129$	−1.51900e10	+	4.17343e10i	−0.425217	+	1.16827i
$130$	2.79958e10	−	1.20777e10i	0.754007	−	0.325289i
$131$	−3.08523e8	+	1.74972e9i	−0.00799707	+	0.0453536i	−0.988545	−	0.150925i	$-0.951775\pi$
$131$	−3.08523e8	+	1.74972e9i	−0.00799707	+	0.0453536i	0.980548	+	0.196279i	$0.0628858\pi$
$132$	1.33665e10	+	1.33665e10i	0.333539	+	0.333539i
$133$	−3.42087e10	+	6.29688e10i	−0.822012	+	1.51310i
$134$		−	1.22893e11i		−	2.84449i
$135$	6.68826e9	+	4.56456e10i	0.149157	+	1.01796i
$136$	−2.02022e11	−	1.69517e11i	−4.34215	−	3.64350i
$137$	3.13735e10	+	6.72806e10i	0.650070	+	1.39408i	0.904284	+	0.426931i	$0.140405\pi$
$137$	3.13735e10	+	6.72806e10i	0.650070	+	1.39408i	−0.254215	+	0.967148i	$0.581817\pi$
$138$	6.00116e9	−	1.28695e10i	0.119906	−	0.257139i
$139$	−6.56916e10	−	7.82882e10i	−1.26601	−	1.50877i	−0.766155	−	0.642656i	$-0.777833\pi$
$139$	−6.56916e10	−	7.82882e10i	−1.26601	−	1.50877i	−0.499851	−	0.866112i	$-0.666612\pi$
$140$	1.69347e11	−	1.90311e11i	3.14874	−	3.53854i
$141$	−1.79321e10	+	3.10592e10i	−0.321762	+	0.557308i
$142$	−4.27406e10	+	6.10399e10i	−0.740285	+	1.05724i
$143$	3.67869e9	+	2.57585e9i	0.0615196	+	0.0430765i
$144$	1.28205e10	+	7.40194e9i	0.207059	+	0.119545i
$145$	−3.50449e9	−	6.01216e10i	−0.0546745	−	0.937973i
$146$	1.00366e11	−	8.42170e10i	1.51294	−	1.26951i
$147$	1.18362e11	+	5.51930e10i	1.72435	+	0.804077i
$148$	1.43760e11	−	6.70365e10i	2.02456	−	0.944066i
$149$	−7.79240e10	+	9.28662e10i	−1.06106	+	1.26452i	−0.0980132	+	0.995185i	$0.531249\pi$
$149$	−7.79240e10	+	9.28662e10i	−1.06106	+	1.26452i	−0.963046	+	0.269336i	$0.913196\pi$
$150$	−1.27233e11	+	6.39138e10i	−1.67550	+	0.841663i
$151$	8.78954e10			1.11965			0.559824	−	0.828612i	$-0.310869\pi$
$151$	8.78954e10			1.11965			0.559824	+	0.828612i	$0.310869\pi$
$152$	−7.13577e9	−	2.75008e11i	−0.0879474	−	3.38944i
$153$	6.21018e9	−	6.21018e9i	0.0740708	−	0.0740708i
$154$	5.03853e10	+	8.88429e9i	0.581702	+	0.102570i
$155$	1.54743e10	−	6.67581e9i	0.172963	−	0.0746184i
$156$	−9.80361e10	−	3.56822e10i	−1.06112	−	0.386215i
$157$	3.22644e10	+	1.50451e10i	0.338240	+	0.157724i	0.584315	−	0.811527i	$-0.301363\pi$
$157$	3.22644e10	+	1.50451e10i	0.338240	+	0.157724i	−0.246075	+	0.969251i	$0.579141\pi$
$158$	−6.04053e9	+	6.90436e10i	−0.0613465	+	0.701194i
$159$	6.05645e10	−	3.49669e10i	0.595981	−	0.344090i
$160$	−8.47817e10	+	4.10694e11i	−0.808541	+	3.91669i
$161$	−4.89452e9	−	2.77582e10i	−0.0452460	−	0.256603i
$162$	1.15691e11	−	1.65223e11i	1.03687	−	1.48080i
$163$	−1.31427e9	−	4.90493e9i	−0.0114221	−	0.0426280i	0.959980	−	0.280070i	$-0.0903577\pi$
$163$	−1.31427e9	−	4.90493e9i	−0.0114221	−	0.0426280i	−0.971402	+	0.237442i	$0.923691\pi$
$164$	−1.11641e11	+	6.44558e10i	−0.941030	+	0.543304i
$165$	−1.78499e10	−	1.10089e10i	−0.145954	−	0.0900166i
$166$	−2.64285e10	+	9.61919e9i	−0.209668	+	0.0763129i
$167$	2.17001e10	+	4.65361e10i	0.167063	+	0.358268i	0.971960	−	0.235147i	$-0.0755572\pi$
$167$	2.17001e10	+	4.65361e10i	0.167063	+	0.358268i	−0.804897	+	0.593415i	$0.797779\pi$
$168$	−7.53595e11	+	6.59310e10i	−5.63108	+	0.492656i
$169$	1.11355e11	+	1.96349e10i	0.807750	+	0.142428i
$170$	4.10817e11	+	2.06296e11i	2.89337	+	1.45294i
$171$	9.14425e9	+	5.61473e8i	0.0625414	+	0.00384015i
$172$	−3.75996e11	−	3.75996e11i	−2.49771	−	2.49771i
$173$	−1.39878e11	−	1.99767e11i	−0.902652	−	1.28912i	−0.956848	−	0.290590i	$-0.906148\pi$
$173$	−1.39878e11	−	1.99767e11i	−0.902652	−	1.28912i	0.0541959	−	0.998530i	$-0.482740\pi$
$174$	−1.80612e11	+	2.15245e11i	−1.13240	+	1.34954i
$175$	−1.34112e11	+	2.48782e11i	−0.817105	+	1.51575i
$176$	−1.07249e11	+	3.90355e10i	−0.635084	+	0.231152i
$177$	1.88332e11	+	1.64769e10i	1.08407	+	0.0948438i
$178$	1.75779e11	+	4.70999e10i	0.983710	+	0.263584i
$179$	−1.93235e11	−	1.11564e11i	−1.05153	−	0.607100i	−0.128452	−	0.991716i	$-0.541001\pi$
$179$	−1.93235e11	−	1.11564e11i	−1.05153	−	0.607100i	−0.923077	+	0.384616i	$0.874334\pi$
$180$	−3.12004e10	−	9.33921e9i	−0.165119	−	0.0494251i
$181$	4.75696e10	+	2.69780e11i	0.244870	+	1.38873i	0.820794	+	0.571225i	$0.193532\pi$
$181$	4.75696e10	+	2.69780e11i	0.244870	+	1.38873i	−0.575923	+	0.817504i	$0.695357\pi$
$182$	−2.72750e11	+	7.30832e10i	−1.36587	+	0.365983i
$183$	2.63564e11	+	7.06217e10i	1.28419	+	0.344099i
$184$	6.95530e10	+	8.28900e10i	0.329782	+	0.393019i
$185$	−1.38037e11	+	1.09156e11i	−0.636998	+	0.503721i
$186$	−7.38878e10	−	2.68930e10i	−0.331901	−	0.120802i
$187$	5.90131e9	+	6.74522e10i	0.0258072	+	0.294977i
$188$	−2.46288e11	−	3.51735e11i	−1.04870	−	1.49771i
$189$		−	4.27245e11i		−	1.77161i
$190$	1.22677e11	+	4.63583e11i	0.495446	+	1.87223i
$191$	3.21118e11			1.26327			0.631637	−	0.775264i	$-0.282383\pi$
$191$	3.21118e11			1.26327			0.631637	+	0.775264i	$0.282383\pi$
$192$	8.13137e11	−	5.69365e11i	3.11643	−	2.18215i
$193$	3.73552e10	−	3.26815e9i	0.139497	−	0.0122044i	−0.0171935	−	0.999852i	$-0.505473\pi$
$193$	3.73552e10	−	3.26815e9i	0.139497	−	0.0122044i	0.156690	+	0.987648i	$0.449918\pi$
$194$	−3.39303e11	+	9.32226e11i	−1.23475	+	3.39244i
$195$	1.14963e11	+	1.34319e10i	0.407743	+	0.0476391i
$196$	−1.19779e12	+	1.00507e12i	−4.14096	+	3.47468i
$197$	−1.62456e10	+	6.06295e10i	−0.0547526	+	0.204340i	−0.987883	−	0.155197i	$-0.950399\pi$
$197$	−1.62456e10	+	6.06295e10i	−0.0547526	+	0.204340i	0.933131	+	0.359537i	$0.117065\pi$
$198$	−1.69290e9	−	6.31798e9i	−0.00556295	−	0.0207612i
$199$	3.71756e11	−	6.55506e10i	1.19122	−	0.210044i	0.457321	−	0.889302i	$-0.348809\pi$
$199$	3.71756e11	−	6.55506e10i	1.19122	−	0.210044i	0.733900	+	0.679258i	$0.237698\pi$
$200$	−3.16573e10	−	1.08452e12i	−0.0989290	−	3.38913i
$201$	2.33263e11	−	4.04023e11i	0.710993	−	1.23148i
$202$	1.34811e11	−	5.03120e11i	0.400837	−	1.49594i
$203$	−4.86103e10	+	5.55618e11i	−0.141009	+	1.61174i
$204$	−5.37991e11	−	1.47812e12i	−1.52273	−	4.18368i
$205$	1.04024e11	−	9.81509e10i	0.287319	−	0.271097i
$206$	−4.01978e11	−	3.37299e11i	−1.08359	−	0.909242i
$207$	−2.95180e9	+	2.06687e9i	−0.00776666	+	0.00543828i
$208$	4.45412e11	−	4.45412e11i	1.14405	−	1.14405i
$209$	−4.86317e10	+	5.12227e10i	−0.121952	+	0.128449i
$210$	1.25169e12	−	4.14831e11i	3.06480	−	1.01572i
$211$	−1.27663e10	+	7.24011e10i	−0.0305247	+	0.173114i	−0.996259	−	0.0864190i	$-0.972458\pi$
$211$	−1.27663e10	+	7.24011e10i	−0.0305247	+	0.173114i	0.965734	+	0.259533i	$0.0835687\pi$
$212$	7.29751e10	+	8.34109e11i	0.170410	+	1.94780i
$213$	−2.56374e11	+	1.19549e11i	−0.584757	+	0.272676i
$214$	1.87406e11	+	5.14894e11i	0.417556	+	1.14723i
$215$	5.02116e11	+	3.09677e11i	1.09298	+	0.674089i
$216$	8.20078e11	+	1.42042e12i	1.74416	+	3.02098i
$217$	−1.50759e11	+	4.03958e10i	−0.313318	+	0.0839532i
$218$	1.47226e11	+	1.03089e11i	0.299022	+	0.209377i
$219$	4.89815e11	−	8.63675e10i	0.972324	−	0.171447i
$220$	2.09775e11	−	1.37985e11i	0.407043	−	0.267743i
$221$	−1.86849e11	−	3.23632e11i	−0.354429	−	0.613889i
$222$	8.17943e11	+	7.15608e10i	1.51690	+	0.132712i
$223$	2.43839e11	−	5.22915e11i	0.442160	−	0.948215i	−0.551329	−	0.834288i	$-0.685879\pi$
$223$	2.43839e11	−	5.22915e11i	0.442160	−	0.948215i	0.993489	−	0.113927i	$-0.0363431\pi$
$224$	1.32830e12	−	3.64949e12i	2.35536	−	6.47130i
$225$	3.60715e10	+	2.09756e9i	0.0625535	+	0.00363749i
$226$	−2.53959e11	+	1.44027e12i	−0.430746	+	2.44288i
$227$	4.50741e11	+	4.50741e11i	0.747821	+	0.747821i	0.974070	−	0.226249i	$-0.0726463\pi$
$227$	4.50741e11	+	4.50741e11i	0.747821	+	0.747821i	−0.226249	+	0.974070i	$0.572646\pi$
$228$	7.83290e11	−	1.44182e12i	1.27130	−	2.34012i
$229$			7.12829e11i			1.13190i	0.824439	+	0.565950i	$0.191491\pi$
$229$			7.12829e11i			1.13190i	−0.824439	+	0.565950i	$0.808509\pi$
$230$	−1.51300e11	−	1.12627e11i	−0.235071	−	0.174987i
$231$	1.48783e11	+	1.24844e11i	0.226201	+	0.189805i
$232$	−9.04876e11	−	1.94051e12i	−1.34632	−	2.88720i
$233$	−5.79312e11	+	1.24234e12i	−0.843592	+	1.80909i	−0.365294	+	0.930892i	$0.619032\pi$
$233$	−5.79312e11	+	1.24234e12i	−0.843592	+	1.80909i	−0.478298	+	0.878198i	$0.658746\pi$
$234$	2.32044e10	+	2.76540e10i	0.0330744	+	0.0394165i
$235$	3.55884e11	+	3.16680e11i	0.496557	+	0.441857i
$236$	−1.13172e12	+	1.96020e12i	−1.54590	+	2.67757i
$237$	−1.50910e11	+	2.15522e11i	−0.201826	+	0.288237i
$238$	−3.48746e12	−	2.44194e12i	−4.56693	−	3.19780i
$239$	−4.18517e11	−	2.41631e11i	−0.536691	−	0.309858i	0.207046	−	0.978331i	$-0.433615\pi$
$239$	−4.18517e11	−	2.41631e11i	−0.536691	−	0.309858i	−0.743737	+	0.668473i	$0.766948\pi$
$240$	−1.95546e12	+	2.19754e12i	−2.45580	+	2.75982i
$241$	7.87878e11	−	6.61108e11i	0.969111	−	0.813181i	−0.0132997	−	0.999912i	$-0.504234\pi$
$241$	7.87878e11	−	6.61108e11i	0.969111	−	0.813181i	0.982411	+	0.186730i	$0.0597891\pi$
$242$	−1.41113e12	−	6.58021e11i	−1.70016	−	0.792799i
$243$	−9.60877e10	+	4.48064e10i	−0.113406	+	0.0528822i
$244$	−2.09991e12	+	2.50258e12i	−2.42802	+	2.89360i
$245$	1.03584e12	−	1.39151e12i	1.17345	−	1.57636i
$246$	−6.67280e11			−0.740683
$247$	1.23781e11	−	3.69648e11i	0.134638	−	0.402072i
$248$	4.23676e11	−	4.23676e11i	0.451622	−	0.451622i
$249$	−1.05144e11	−	1.85398e10i	−0.109847	−	0.0193690i
$250$	4.89756e11	+	1.82677e12i	0.501510	+	1.87062i
$251$	9.44719e11	+	3.43850e11i	0.948274	+	0.345144i	0.769428	−	0.638733i	$-0.220541\pi$
$251$	9.44719e11	+	3.43850e11i	0.948274	+	0.345144i	0.178846	+	0.983877i	$0.442764\pi$
$252$	2.73360e11	+	1.27470e11i	0.268987	+	0.125431i
$253$	2.42131e9	−	2.76757e10i	0.00233587	−	0.0266991i
$254$	9.78685e11	−	5.65044e11i	0.925709	−	0.534458i
$255$	9.59031e11	+	1.45799e12i	0.889470	+	1.35224i
$256$	5.84971e11	+	3.31753e12i	0.532028	+	3.01728i
$257$	−6.49787e11	+	9.27993e11i	−0.579570	+	0.827711i	−0.996703	−	0.0811339i	$-0.974146\pi$
$257$	−6.49787e11	+	9.27993e11i	−0.579570	+	0.827711i	0.417134	+	0.908845i	$0.363035\pi$
$258$	−7.12378e11	−	2.65863e12i	−0.623178	−	2.32573i
$259$	1.41144e12	−	8.14895e11i	1.21105	−	0.699202i
$260$	−7.27448e11	+	1.17950e12i	−0.612259	+	0.992727i
$261$	6.70039e10	−	2.43874e10i	0.0553220	−	0.0201355i
$262$	−4.65342e10	−	9.97930e10i	−0.0376935	−	0.0808339i
$263$	−2.15517e11	+	1.88553e10i	−0.171278	+	0.0149849i	−0.172472	−	0.985014i	$-0.555176\pi$
$263$	−2.15517e11	+	1.88553e10i	−0.171278	+	0.0149849i	0.00119391	+	0.999999i	$0.499620\pi$
$264$	−7.34278e11	−	1.29473e11i	−0.572586	−	0.100962i
$265$	−2.92231e11	−	8.81765e11i	−0.223613	−	0.674720i
$266$	−5.01695e11	−	4.41267e12i	−0.376731	−	3.31355i
$267$	4.88491e11	+	4.88491e11i	0.359998	+	0.359998i
$268$	3.20375e12	+	4.57542e12i	2.31731	+	3.30946i
$269$	−3.94880e11	+	4.70600e11i	−0.280352	+	0.334111i	−0.887783	−	0.460262i	$-0.847756\pi$
$269$	−3.94880e11	+	4.70600e11i	−0.280352	+	0.334111i	0.607431	+	0.794372i	$0.292200\pi$
$270$	−1.96208e12	−	2.07949e12i	−1.36741	−	1.44923i
$271$	2.40673e11	−	8.75980e10i	0.164658	−	0.0599305i	−0.258376	−	0.966044i	$-0.583187\pi$
$271$	2.40673e11	−	8.75980e10i	0.164658	−	0.0599305i	0.423034	+	0.906114i	$0.360965\pi$
$272$	9.46116e12	+	8.27744e11i	6.35477	+	0.555970i
$273$	−1.03541e12	−	2.77438e11i	−0.682809	−	0.182958i
$274$	−3.98430e12	−	2.30034e12i	−2.57988	−	1.48949i
$275$	−1.91146e11	+	2.02640e11i	−0.121535	+	0.128843i
$276$	1.12072e11	+	6.35590e11i	0.0699762	+	0.396855i
$277$	−2.00930e12	+	5.38391e11i	−1.23210	+	0.330141i	−0.815398	−	0.578901i	$-0.803482\pi$
$277$	−2.00930e12	+	5.38391e11i	−1.23210	+	0.330141i	−0.416705	+	0.909042i	$0.636815\pi$
$278$	6.11777e12	+	1.63925e12i	3.68442	+	0.987238i
$279$	1.28259e10	+	1.52854e10i	0.00758697	+	0.00904180i
$280$	−1.16606e12	+	9.98032e12i	−0.677535	+	5.79902i
$281$	1.40919e12	+	5.12902e11i	0.804335	+	0.292754i	0.711282	−	0.702907i	$-0.248115\pi$
$281$	1.40919e12	+	5.12902e11i	0.804335	+	0.292754i	0.0930535	+	0.995661i	$0.470337\pi$
$282$	−1.93715e11	−	2.21417e12i	−0.108622	−	1.24156i
$283$	1.11282e12	+	1.58927e12i	0.613047	+	0.875521i	0.998893	−	0.0470419i	$-0.0149794\pi$
$283$	1.11282e12	+	1.58927e12i	0.613047	+	0.875521i	−0.385846	+	0.922563i	$0.626091\pi$
$284$		−	3.38679e12i		−	1.83315i
$285$	−4.76611e11	+	1.75693e12i	−0.253478	+	0.934393i
$286$	−2.78315e11			−0.145447
$287$	−1.08499e12	+	7.59718e11i	−0.557206	+	0.390160i
$288$	−4.94621e11	+	4.32737e10i	−0.249638	+	0.0218405i
$289$	1.23755e12	−	3.40014e12i	0.613866	−	1.68658i
$290$	2.31503e12	+	2.92755e12i	1.12867	+	1.42730i
$291$	−2.88494e12	+	2.42076e12i	−1.38252	+	1.16007i
$292$	−1.54123e12	+	5.75195e12i	−0.726028	+	2.70957i
$293$	7.56094e11	+	2.82178e12i	0.350137	+	1.30673i	0.886495	+	0.462738i	$0.153133\pi$
$293$	7.56094e11	+	2.82178e12i	0.350137	+	1.30673i	−0.536358	+	0.843991i	$0.680200\pi$
$294$	−7.97067e12	+	1.40544e12i	−3.62876	+	0.639848i
$295$	7.20097e11	−	2.40570e12i	0.322315	−	1.07679i
$296$	−3.12831e12	+	5.41840e12i	−1.37674	+	2.38458i
$297$	1.08990e11	−	4.06757e11i	0.0471635	−	0.176016i
$298$	6.54797e11	−	7.48437e12i	0.278628	−	3.18474i
$299$	5.24415e10	+	1.44082e11i	0.0219442	+	0.0602911i
$300$	3.07082e12	−	5.69646e12i	1.26371	−	2.34422i
$301$	−4.18525e12	−	3.51184e12i	−1.69390	−	1.42135i
$302$	−4.46208e12	+	3.12438e12i	−1.77625	+	1.24374i
$303$	1.39817e12	−	1.39817e12i	0.547454	−	0.547454i
$304$	5.89107e12	+	7.96529e12i	2.26896	+	3.06785i
$305$	1.62648e12	−	3.23896e12i	0.616240	−	1.22718i
$306$	−9.45141e10	+	5.36016e11i	−0.0352281	+	0.199789i
$307$	−1.45896e11	−	1.66760e12i	−0.0534999	−	0.611507i	−0.974863	−	0.222804i	$-0.928479\pi$
$307$	−1.45896e11	−	1.66760e12i	−0.0534999	−	0.611507i	0.921363	−	0.388702i	$-0.127077\pi$
$308$	−2.10750e12	+	9.82743e11i	−0.760350	+	0.354557i
$309$	−6.81314e11	−	1.87190e12i	−0.241855	−	0.664491i
$310$	−5.48263e11	+	8.88963e11i	−0.191505	+	0.310510i
$311$	−2.22432e12	−	3.85263e12i	−0.764530	−	1.32420i	−0.940495	−	0.339808i	$-0.889638\pi$
$311$	−2.22432e12	−	3.85263e12i	−0.764530	−	1.32420i	0.175965	−	0.984396i	$-0.443695\pi$
$312$	3.97485e12	−	1.06506e12i	1.34446	−	0.360247i
$313$	−2.15835e10	−	1.51129e10i	−0.00718456	−	0.00503068i	0.569979	−	0.821660i	$-0.306951\pi$
$313$	−2.15835e10	−	1.51129e10i	−0.00718456	−	0.00503068i	−0.577163	+	0.816629i	$0.695840\pi$
$314$	−2.17273e12	+	3.83111e11i	−0.711800	+	0.125509i
$315$	−3.27718e11	−	6.76524e10i	−0.105669	−	0.0218138i
$316$	−1.57503e12	−	2.72803e12i	−0.499865	−	0.865792i
$317$	1.37317e12	+	1.20137e11i	0.428970	+	0.0375300i	0.299597	−	0.954066i	$-0.403148\pi$
$317$	1.37317e12	+	1.20137e11i	0.428970	+	0.0375300i	0.129373	+	0.991596i	$0.458703\pi$
$318$	−1.83165e12	+	3.92799e12i	−0.563258	+	1.20791i
$319$	−1.88018e11	+	5.16575e11i	−0.0569175	+	0.156379i
$320$	−5.22304e12	−	1.21068e13i	−1.55659	−	3.60812i
$321$	−3.61202e11	+	2.04848e12i	−0.105980	+	0.601044i
$322$	1.23518e12	+	1.23518e12i	0.356823	+	0.356823i
$323$	5.46901e12	−	2.15279e12i	1.55559	−	0.612336i
$324$			9.16739e12i			2.56756i
$325$	4.83459e11	−	1.45945e12i	0.133335	−	0.402506i
$326$	2.41074e11	+	2.02285e11i	0.0654730	+	0.0549384i
$327$	2.88348e11	+	6.18364e11i	0.0771219	+	0.165389i
$328$	2.14891e12	−	4.60835e12i	0.566042	−	1.21388i
$329$	−2.83588e12	−	3.37967e12i	−0.735713	−	0.876788i
$330$	1.29750e12	−	7.56310e10i	0.331540	−	0.0193255i
$331$	1.39238e12	−	2.41168e12i	0.350445	−	0.606988i	−0.635883	−	0.771786i	$-0.719364\pi$
$331$	1.39238e12	−	2.41168e12i	0.350445	−	0.606988i	0.986327	+	0.164798i	$0.0526972\pi$
$332$	7.33191e11	−	1.04710e12i	0.181772	−	0.259597i
$333$	−1.70678e11	−	1.19510e11i	−0.0416828	−	0.0291866i
$334$	−2.75583e12	−	1.59108e12i	−0.663010	−	0.382789i
$335$	−4.62939e12	−	4.11942e12i	−1.09723	−	0.976365i
$336$	2.08690e13	−	1.75112e13i	4.87311	−	4.08902i
$337$	3.01086e12	+	1.40399e12i	0.692693	+	0.323008i	0.736888	−	0.676015i	$-0.236295\pi$
$337$	3.01086e12	+	1.40399e12i	0.692693	+	0.323008i	−0.0441950	+	0.999023i	$0.514072\pi$
$338$	−6.35100e12	+	2.96152e12i	−1.43965	+	0.671322i
$339$	−3.56869e12	+	4.25300e12i	−0.797095	+	0.949941i
$340$	−2.06731e13	+	3.02914e12i	−4.54999	+	0.666692i
$341$	−1.53835e11			−0.0333644
$342$	−4.84174e11	+	2.96544e11i	−0.103483	+	0.0633809i
$343$	−5.57937e12	+	5.57937e12i	−1.17521	+	1.17521i
$344$	2.06551e13	+	3.64205e12i	4.28781	+	0.756056i
$345$	−2.83634e11	−	6.57455e11i	−0.0580315	−	0.134515i
$346$	1.42021e13	+	5.16914e12i	2.86399	+	1.04241i
$347$	−3.91049e12	−	1.82349e12i	−0.777291	−	0.362457i	−0.00685717	−	0.999976i	$-0.502183\pi$
$347$	−3.91049e12	−	1.82349e12i	−0.777291	−	0.362457i	−0.770434	+	0.637520i	$0.779960\pi$
$348$	1.11305e12	−	1.27222e13i	0.218081	−	2.49268i
$349$	3.43821e12	−	1.98505e12i	0.664058	−	0.383394i	−0.129764	−	0.991545i	$-0.541422\pi$
$349$	3.43821e12	−	1.98505e12i	0.664058	−	0.383394i	0.793821	+	0.608151i	$0.208089\pi$
$350$	−2.03504e12	−	1.73969e13i	−0.387466	−	3.31231i
$351$	4.03581e11	+	2.28882e12i	0.0757522	+	0.429612i
$352$	2.19560e12	−	3.13564e12i	0.406293	−	0.580246i
$353$	2.46324e12	+	9.19294e12i	0.449400	+	1.67718i	0.704050	+	0.710151i	$0.251373\pi$
$353$	2.46324e12	+	9.19294e12i	0.449400	+	1.67718i	−0.254650	+	0.967033i	$0.581960\pi$
$354$	−1.01465e13	+	5.85810e12i	−1.82516	+	1.05376i
$355$	8.66696e11	+	3.65612e12i	0.153718	+	0.648453i
$356$	−7.77228e12	+	2.82888e12i	−1.35925	+	0.494725i
$357$	−6.83031e12	−	1.46476e13i	−1.17788	−	2.52596i
$358$	1.37755e13	−	1.20520e12i	2.34257	−	0.204948i
$359$	−2.48546e12	−	4.38253e11i	−0.416806	−	0.0734941i	−0.0386874	−	0.999251i	$-0.512318\pi$
$359$	−2.48546e12	−	4.38253e11i	−0.416806	−	0.0734941i	−0.378118	+	0.925757i	$0.623429\pi$
$360$	1.21939e12	−	4.04124e11i	0.201664	−	0.0668347i
$361$	5.46149e12	+	2.78605e12i	0.890790	+	0.454415i
$362$	−1.20047e13	−	1.20047e13i	−1.93112	−	1.93112i
$363$	−3.39024e12	−	4.84177e12i	−0.537895	−	0.768193i
$364$	8.24950e12	−	9.83137e12i	1.29098	−	1.53853i
$365$	1.91843e11	−	6.60377e12i	0.0296129	−	1.01936i
$366$	−1.58904e13	+	5.78364e12i	−2.41952	+	0.880634i
$367$	5.48424e12	+	4.79809e11i	0.823733	+	0.0720673i	0.491225	−	0.871033i	$-0.336549\pi$
$367$	5.48424e12	+	4.79809e11i	0.823733	+	0.0720673i	0.332508	+	0.943100i	$0.392105\pi$
$368$	−3.76397e12	−	1.00855e12i	−0.557709	−	0.149438i
$369$	1.46647e11	+	8.46668e10i	0.0214359	+	0.0123760i
$370$	3.12745e12	−	1.04482e13i	0.451006	−	1.50672i
$371$	1.49389e12	+	8.47225e12i	0.212544	+	1.20540i
$372$	3.45199e12	−	9.24958e11i	0.484568	−	0.129840i
$373$	5.56186e12	+	1.49029e12i	0.770328	+	0.206409i	0.622516	−	0.782607i	$-0.286110\pi$
$373$	5.56186e12	+	1.49029e12i	0.770328	+	0.206409i	0.147811	+	0.989016i	$0.452777\pi$
$374$	−2.69729e12	−	3.21450e12i	−0.368611	−	0.439294i
$375$	−1.85727e12	+	6.93530e12i	−0.250449	+	0.935209i
$376$	1.59153e13	+	5.79269e12i	2.11775	+	0.770799i
$377$	−2.64431e11	−	3.02246e12i	−0.0347220	−	0.396875i
$378$	1.51871e13	+	2.16894e13i	1.96796	+	2.81054i
$379$			1.16749e13i			1.49299i	0.665392	+	0.746494i	$0.268265\pi$
$379$			1.16749e13i			1.49299i	−0.665392	+	0.746494i	$0.731735\pi$
$380$	−1.66527e13	−	1.40615e13i	−2.10168	−	1.77465i
$381$	4.29003e12			0.534362
$382$	−1.63018e13	+	1.14147e13i	−2.00410	+	1.40329i
$383$	1.94244e12	−	1.69942e11i	0.235697	−	0.0206208i	0.0313049	−	0.999510i	$-0.490034\pi$
$383$	1.94244e12	−	1.69942e11i	0.235697	−	0.0206208i	0.204392	+	0.978889i	$0.434478\pi$
$384$	−9.98360e12	+	2.74297e13i	−1.19572	+	3.28522i
$385$	2.02360e12	−	1.60021e12i	0.239234	−	0.189179i
$386$	−1.78020e12	+	1.49376e12i	−0.207745	+	0.174319i
$387$	−1.80778e11	+	6.74673e11i	−0.0208253	+	0.0777210i
$388$	−1.16700e13	−	4.35530e13i	−1.32713	−	4.95290i
$389$	2.62222e12	−	4.62368e11i	0.294388	−	0.0519086i	−0.0245034	−	0.999700i	$-0.507800\pi$
$389$	2.62222e12	−	4.62368e11i	0.294388	−	0.0519086i	0.318892	+	0.947791i	$0.396689\pi$
$390$	−6.31368e12	+	3.40468e12i	−0.699776	+	0.377358i
$391$	−1.15589e12	+	2.00206e12i	−0.126483	+	0.219075i
$392$	1.59625e13	−	5.95729e13i	1.72453	−	6.43603i
$393$	3.64308e10	−	4.16405e11i	0.00388602	−	0.0444175i
$394$	−1.33045e12	−	3.65538e12i	−0.140126	−	0.384992i
$395$	2.39839e12	+	2.54191e12i	0.249422	+	0.264347i
$396$	2.27734e11	+	1.91091e11i	0.0233858	+	0.0196230i
$397$	5.35030e12	−	3.74632e12i	0.542532	−	0.379885i	−0.269947	−	0.962875i	$-0.587006\pi$
$397$	5.35030e12	−	3.74632e12i	0.542532	−	0.379885i	0.812479	+	0.582990i	$0.198117\pi$
$398$	−1.65424e13	+	1.65424e13i	−1.65647	+	1.65647i
$399$	6.72629e12	−	1.54593e13i	0.665137	−	1.52871i
$400$	2.33358e13	+	3.13393e13i	2.27888	+	3.06048i
$401$	−8.73365e11	+	4.95310e12i	−0.0842314	+	0.477700i	0.913288	+	0.407313i	$0.133534\pi$
$401$	−8.73365e11	+	4.95310e12i	−0.0842314	+	0.477700i	−0.997520	+	0.0703864i	$0.977577\pi$
$402$	2.51987e12	+	2.88023e13i	0.240021	+	2.74345i
$403$	7.69483e11	−	3.58816e11i	0.0723892	−	0.0337557i
$404$	8.09690e12	+	2.22460e13i	0.752336	+	2.06703i
$405$	−2.34598e12	−	9.89641e12i	−0.215302	−	0.908244i
$406$	−1.72826e13	−	2.99344e13i	−1.56668	−	2.71356i
$407$	1.55164e12	−	4.15760e11i	0.138937	−	0.0372281i
$408$	5.08236e13	+	3.55870e13i	4.49536	+	3.14768i
$409$	1.49458e13	−	2.63535e12i	1.30588	−	0.230262i	0.522945	−	0.852367i	$-0.324833\pi$
$409$	1.49458e13	−	2.63535e12i	1.30588	−	0.230262i	0.782934	+	0.622105i	$0.213722\pi$
$410$	−1.79194e12	+	8.68042e12i	−0.154670	+	0.749241i
$411$	−8.73252e12	−	1.51252e13i	−0.744613	−	1.28971i
$412$	2.37592e13	+	2.07866e12i	2.00145	+	0.175104i
$413$	−9.82851e12	+	2.10773e13i	−0.817970	+	1.75414i
$414$	7.63802e10	−	2.09853e11i	0.00628028	−	0.0172549i
$415$	−5.23537e11	+	1.31800e12i	−0.0425311	+	0.107072i
$416$	−3.66860e12	+	2.08056e13i	−0.294465	+	1.66999i
$417$	1.70013e13	+	1.70013e13i	1.34835	+	1.34835i
$418$	6.48036e11	−	4.32906e12i	0.0507830	−	0.339244i
$419$		−	1.79745e13i		−	1.39183i	−0.718122	−	0.695917i	$-0.754998\pi$
$419$		−	1.79745e13i		−	1.39183i	0.718122	−	0.695917i	$-0.245002\pi$
$420$	−3.57873e13	+	4.80754e13i	−2.73831	+	3.67854i
$421$	−1.50902e11	−	1.26622e11i	−0.0114099	−	0.00957408i	0.637065	−	0.770810i	$-0.280148\pi$
$421$	−1.50902e11	−	1.26622e11i	−0.0114099	−	0.00957408i	−0.648475	+	0.761236i	$0.724593\pi$
$422$	−1.92553e12	−	4.12930e12i	−0.143876	−	0.308542i
$423$	−2.38369e11	+	5.11185e11i	−0.0176015	+	0.0377465i
$424$	−2.12287e13	−	2.52994e13i	−1.54915	−	1.84621i
$425$	2.15419e13	−	8.56037e12i	1.55360	−	0.617373i
$426$	8.76546e12	−	1.51822e13i	0.624779	−	1.08215i
$427$	−1.92528e13	+	2.74958e13i	−1.35629	+	1.93699i
$428$	−2.04003e13	−	1.42844e13i	−1.42042	−	0.994589i
$429$	−9.14986e11	−	5.28268e11i	−0.0629692	−	0.0363553i
$430$	−3.64983e13	+	2.12749e12i	−2.48274	+	0.144719i
$431$	1.11085e13	−	9.32112e12i	0.746910	−	0.626732i	−0.187774	−	0.982212i	$-0.560127\pi$
$431$	1.11085e13	−	9.32112e12i	0.746910	−	0.626732i	0.934684	+	0.355481i	$0.115683\pi$
$432$	−5.35323e13	−	2.49625e13i	−3.55793	−	1.65909i
$433$	−1.16066e13	+	5.41225e12i	−0.762546	+	0.355581i	−0.764675	−	0.644417i	$-0.777100\pi$
$433$	−1.16066e13	+	5.41225e12i	−0.762546	+	0.355581i	0.00212838	+	0.999998i	$0.499323\pi$
$434$	6.21748e12	−	7.40971e12i	0.403800	−	0.481230i
$435$	2.05411e12	+	1.40188e13i	0.131880	+	0.900043i
$436$	−8.16882e12			−0.518474
$437$	−2.36323e12	+	4.80219e11i	−0.148286	+	0.0301323i
$438$	−2.17958e13	+	2.17958e13i	−1.35208	+	1.35208i
$439$	−1.55914e13	−	2.74919e12i	−0.956233	−	0.168610i	−0.326306	−	0.945264i	$-0.605804\pi$
$439$	−1.55914e13	−	2.74919e12i	−0.956233	−	0.168610i	−0.629927	+	0.776654i	$0.716915\pi$
$440$	−3.65613e12	+	9.20429e12i	−0.221696	+	0.558119i
$441$	1.93003e12	+	7.02473e11i	0.115710	+	0.0421150i
$442$	2.09896e13	+	9.78760e12i	1.24421	+	0.580183i
$443$	6.10101e11	−	6.97348e12i	0.0357588	−	0.408725i	−0.957128	−	0.289665i	$-0.906456\pi$
$443$	6.10101e11	−	6.97348e12i	0.0357588	−	0.408725i	0.992887	−	0.119060i	$-0.0379882\pi$
$444$	−3.23183e13	+	1.86590e13i	−1.87298	+	1.08137i
$445$	7.66643e12	−	5.04280e12i	0.439332	−	0.288983i
$446$	6.20916e12	+	3.52139e13i	0.351851	+	1.99545i
$447$	1.63587e13	−	2.33627e13i	0.916668	−	1.30914i
$448$	3.16050e13	+	1.17951e14i	1.75132	+	6.53602i
$449$	−7.22832e11	+	4.17327e11i	−0.0396101	+	0.0228689i	−0.519674	−	0.854364i	$-0.673947\pi$
$449$	−7.22832e11	+	4.17327e11i	−0.0396101	+	0.0228689i	0.480064	+	0.877233i	$0.340613\pi$
$450$	−1.90576e12	+	1.17574e12i	−0.103278	+	0.0637158i
$451$	−1.22677e12	+	4.46506e11i	−0.0657475	+	0.0239301i
$452$	−2.80919e13	−	6.02432e13i	−1.48898	−	3.19313i
$453$	−2.05999e13	+	1.80226e12i	−1.07988	+	0.0944770i
$454$	−3.89046e13	−	6.85992e12i	−2.01707	−	0.355664i
$455$	−6.38963e12	+	1.27243e13i	−0.327657	+	0.652493i
$456$	7.31133e12	+	6.43069e13i	0.370828	+	3.26162i
$457$	−4.26534e12	−	4.26534e12i	−0.213980	−	0.213980i	0.591976	−	0.805956i	$-0.298348\pi$
$457$	−4.26534e12	−	4.26534e12i	−0.213980	−	0.213980i	−0.805956	+	0.591976i	$0.798348\pi$
$458$	−2.53387e13	−	3.61874e13i	−1.25735	−	1.79568i
$459$	−2.25243e13	+	2.68434e13i	−1.10557	+	1.31757i
$460$	8.56915e12	+	2.48938e11i	0.416053	+	0.0120865i
$461$	3.31536e13	−	1.20669e13i	1.59230	−	0.579551i	0.614471	−	0.788940i	$-0.289370\pi$
$461$	3.31536e13	−	1.20669e13i	1.59230	−	0.579551i	0.977832	+	0.209389i	$0.0671475\pi$
$462$	−1.19909e13	−	1.04907e12i	−0.569694	−	0.0498418i
$463$	2.22789e13	+	5.96961e12i	1.04710	+	0.280570i	0.741053	−	0.671447i	$-0.234327\pi$
$463$	2.22789e13	+	5.96961e12i	1.04710	+	0.280570i	0.306047	+	0.952016i	$0.400993\pi$
$464$	6.67769e13	+	3.85536e13i	3.10482	+	1.79257i
$465$	−3.48980e12	+	1.88189e12i	−0.160523	+	0.0865626i
$466$	−1.47517e13	−	8.36609e13i	−0.671293	−	3.80709i
$467$	5.84715e12	−	1.56674e12i	0.263245	−	0.0705362i	−0.124783	−	0.992184i	$-0.539823\pi$
$467$	5.84715e12	−	1.56674e12i	0.263245	−	0.0705362i	0.388027	+	0.921648i	$0.373157\pi$
$468$	−1.58484e12	−	4.24657e11i	−0.0705922	−	0.0189151i
$469$	3.68895e13	+	4.39632e13i	1.62569	+	1.93743i
$470$	−2.93237e13	−	3.42606e12i	−1.27858	−	0.149385i
$471$	−7.87024e12	−	2.86453e12i	−0.339534	−	0.123580i
$472$	−7.78116e12	−	8.89390e13i	−0.332150	−	3.79649i
$473$	−3.08869e12	−	4.41110e12i	−0.130457	−	0.186312i
$474$		−	1.63055e13i		−	0.681463i
$475$	2.15754e13	+	1.09182e13i	0.892258	+	0.451526i
$476$	1.93501e14			7.91860
$477$	9.00936e11	−	6.30842e11i	0.0364840	−	0.0255464i
$478$	2.98356e13	−	2.61027e12i	1.19562	−	0.104604i
$479$	9.29857e12	−	2.55476e13i	0.368756	−	1.01315i	−0.607080	−	0.794641i	$-0.707659\pi$
$479$	9.29857e12	−	2.55476e13i	0.368756	−	1.01315i	0.975835	−	0.218507i	$-0.0701186\pi$
$480$	1.14490e13	−	9.79923e13i	0.449327	−	3.84579i
$481$	−6.79156e12	+	5.69879e12i	−0.263781	+	0.221339i
$482$	−1.64971e13	+	6.15681e13i	−0.634123	+	2.36658i
$483$	1.71629e12	+	6.40529e12i	0.0652913	+	0.243670i
$484$	6.96918e13	−	1.22885e13i	2.62395	−	0.462673i
$485$	2.37435e13	+	4.40301e13i	0.884780	+	1.64074i
$486$	3.28526e12	−	5.69023e12i	0.121168	−	0.209869i
$487$	−2.97805e12	+	1.11142e13i	−0.108714	+	0.405727i	−0.998740	−	0.0501830i	$-0.984020\pi$
$487$	−2.97805e12	+	1.11142e13i	−0.108714	+	0.405727i	0.890026	+	0.455910i	$0.150686\pi$
$488$	1.12307e13	−	1.28367e14i	0.405796	−	4.63827i
$489$	4.08598e11	+	1.12261e12i	0.0146134	+	0.0401500i
$490$	−3.12183e12	+	1.07462e14i	−0.110517	+	3.80430i
$491$	−3.37670e12	−	2.83339e12i	−0.118327	−	0.0992885i	0.581704	−	0.813401i	$-0.302386\pi$
$491$	−3.37670e12	−	2.83339e12i	−0.118327	−	0.0992885i	−0.700031	+	0.714112i	$0.746831\pi$
$492$	2.48434e13	−	1.73956e13i	0.861759	−	0.603410i
$493$	3.23463e13	−	3.23463e13i	1.11068	−	1.11068i
$494$	6.85593e12	+	2.31655e13i	0.233041	+	0.787421i
$495$	−2.94745e11	−	1.48009e11i	−0.00991792	−	0.00498039i
$496$	−3.74691e12	+	2.12498e13i	−0.124814	+	0.707858i
$497$	−3.03287e12	−	3.46658e13i	−0.100016	−	1.14319i
$498$	5.99677e12	−	2.79634e12i	0.195781	−	0.0912942i
$499$	1.80779e11	+	4.96686e11i	0.00584312	+	0.0160539i	0.942580	−	0.333981i	$-0.108392\pi$
$499$	1.80779e11	+	4.96686e11i	0.00584312	+	0.0160539i	−0.936737	+	0.350035i	$0.886170\pi$
$500$	−6.58569e13	−	5.52448e13i	−2.10742	−	1.76783i
$501$	−6.04003e12	−	1.04616e13i	−0.191360	−	0.331445i
$502$	−6.01822e13	+	1.61258e13i	−1.88777	+	0.505827i
$503$	−1.08731e13	−	7.61342e12i	−0.337686	−	0.236450i	0.392417	−	0.919787i	$-0.371639\pi$
$503$	−1.08731e13	−	7.61342e12i	−0.337686	−	0.236450i	−0.730103	+	0.683337i	$0.760528\pi$
$504$	−1.17162e13	+	2.06589e12i	−0.360276	+	0.0635263i
$505$	−1.44337e13	−	2.19431e13i	−0.439460	−	0.668099i
$506$	8.60859e11	+	1.49105e12i	0.0259525	+	0.0449511i
$507$	−2.65008e13	−	2.31852e12i	−0.791076	−	0.0692102i
$508$	−2.17070e13	+	4.65508e13i	−0.641625	+	1.37597i
$509$	7.13727e12	−	1.96095e13i	0.208902	−	0.573955i	−0.790348	−	0.612658i	$-0.790100\pi$
$509$	7.13727e12	−	1.96095e13i	0.208902	−	0.573955i	0.999251	+	0.0387030i	$0.0123226\pi$
$510$	−1.00513e14	−	3.99257e13i	−2.91319	−	1.15718i
$511$	−1.06246e13	+	6.02548e13i	−0.304934	+	1.72937i
$512$	−5.77847e13	−	5.77847e13i	−1.64234	−	1.64234i
$513$	−3.65413e13	+	9.48154e11i	−1.02848	+	0.0266865i
$514$		−	7.02081e13i		−	1.95691i
$515$	−2.61805e13	+	3.83612e12i	−0.722673	+	0.105890i
$516$	9.58313e13	+	8.04120e13i	2.61974	+	2.19823i
$517$	−1.83774e12	−	3.94104e12i	−0.0497543	−	0.106698i
$518$	−4.26862e13	+	9.15408e13i	−1.14456	+	2.45452i
$519$	3.68792e13	+	4.39510e13i	0.979366	+	1.16716i
$520$	−3.18075e12	−	5.45677e13i	−0.0836591	−	1.43522i
$521$	2.44313e13	−	4.23163e13i	0.636441	−	1.10235i	−0.349767	−	0.936837i	$-0.613739\pi$
$521$	2.44313e13	−	4.23163e13i	0.636441	−	1.10235i	0.986208	−	0.165511i	$-0.0529274\pi$
$522$	−2.53462e12	+	3.61981e12i	−0.0653974	+	0.0933971i
$523$	−1.18572e13	−	8.30251e12i	−0.303022	−	0.212178i	0.412169	−	0.911107i	$-0.364771\pi$
$523$	−1.18572e13	−	8.30251e12i	−0.303022	−	0.212178i	−0.715191	+	0.698929i	$0.753660\pi$
$524$	4.33405e12	+	2.50227e12i	0.109708	+	0.0633398i
$525$	2.63305e13	−	6.10566e13i	0.660181	−	1.53086i
$526$	1.02707e13	−	8.61811e12i	0.255076	−	0.214034i
$527$	1.16017e13	+	5.40997e12i	0.285410	+	0.133089i
$528$	2.43354e13	−	1.13478e13i	0.593020	−	0.276530i
$529$	−2.60187e13	+	3.10079e13i	−0.628070	+	0.748505i
$530$	4.61791e13	+	3.43758e13i	1.10425	+	0.822002i
$531$	2.97318e12			0.0704286
$532$	1.33714e14	+	1.51209e14i	3.13775	+	3.54829i
$533$	5.09483e12	−	5.09483e12i	0.118439	−	0.118439i
$534$	−4.21629e13	−	7.43445e12i	−0.971010	−	0.171215i
$535$	2.56780e13	+	1.01998e13i	0.585858	+	0.232715i
$536$	−2.07028e14	−	7.53522e13i	−4.67957	−	1.70322i
$537$	4.75758e13	+	2.21850e13i	1.06541	+	0.496807i
$538$	3.31819e12	−	3.79271e13i	0.0736189	−	0.841468i
$539$	−1.37133e13	+	7.91737e12i	−0.301438	+	0.174035i
$540$	1.27261e14	+	2.62711e13i	2.77158	+	0.572150i
$541$	4.03644e12	+	2.28918e13i	0.0870989	+	0.493962i	0.996884	+	0.0788826i	$0.0251352\pi$
$541$	4.03644e12	+	2.28918e13i	0.0870989	+	0.493962i	−0.909785	+	0.415080i	$0.863754\pi$
$542$	−9.10418e12	+	1.30021e13i	−0.194646	+	0.277983i
$543$	−1.66805e13	−	6.22526e13i	−0.353355	−	1.31874i
$544$	−2.75857e14	+	1.59266e14i	−5.79014	+	3.34294i
$545$	8.81843e12	−	2.09044e12i	0.183404	−	0.0434766i
$546$	6.24255e13	−	2.27210e13i	1.28647	−	0.468236i
$547$	3.87659e13	+	8.31338e13i	0.791614	+	1.69762i	0.713476	+	0.700680i	$0.247120\pi$
$547$	3.87659e13	+	8.31338e13i	0.791614	+	1.69762i	0.0781385	+	0.996943i	$0.475102\pi$
$548$	2.08307e14	−	1.82245e13i	4.21504	−	0.368769i
$549$	4.22606e12	+	7.45168e11i	0.0847372	+	0.0149415i
$550$	2.50049e12	−	1.70818e13i	0.0496835	−	0.339406i
$551$	4.76286e13	+	2.92448e12i	0.937799	+	0.0575825i
$552$	−1.80007e13	−	1.80007e13i	−0.351231	−	0.351231i
$553$	−1.85643e13	−	2.65126e13i	−0.358966	−	0.512656i
$554$	8.28660e13	−	9.87559e13i	1.58792	−	1.89241i
$555$	3.01134e13	−	2.84132e13i	0.571867	−	0.539579i
$556$	−2.70504e14	+	9.84555e13i	−5.09097	+	1.85296i
$557$	2.39111e13	+	2.09195e12i	0.445988	+	0.0390189i	0.307938	−	0.951406i	$-0.400361\pi$
$557$	2.39111e13	+	2.09195e12i	0.445988	+	0.0390189i	0.138050	+	0.990425i	$0.455917\pi$
$558$	−1.19446e12	−	3.20056e11i	−0.0220801	−	0.00591636i
$559$	2.57384e13	+	1.48601e13i	0.471544	+	0.272246i
$560$	−1.71755e14	−	3.18504e14i	−3.11867	−	5.78328i
$561$	−2.76616e12	−	1.56877e13i	−0.0497809	−	0.282322i
$562$	−8.97706e13	+	2.40539e13i	−1.60122	+	0.429047i
$563$	2.41694e13	+	6.47616e12i	0.427290	+	0.114492i	0.466054	−	0.884756i	$-0.345675\pi$
$563$	2.41694e13	+	6.47616e12i	0.427290	+	0.114492i	−0.0387636	+	0.999248i	$0.512342\pi$
$564$	6.49342e13	+	7.73856e13i	1.13783	+	1.35602i
$565$	4.57423e13	+	5.78451e13i	0.794468	+	1.00467i
$566$	−1.12987e14	−	4.11238e13i	−1.94511	−	0.707964i
$567$	8.20939e12	+	9.38337e13i	0.140086	+	1.60119i
$568$	7.66227e13	+	1.09429e14i	1.29603	+	1.85093i
$569$			1.07567e14i			1.80350i	0.432260	+	0.901749i	$0.357716\pi$
$569$			1.07567e14i			1.80350i	−0.432260	+	0.901749i	$0.642284\pi$
$570$	−3.82573e13	−	1.06134e14i	−0.635829	−	1.76392i
$571$	−3.64055e13			−0.599772			−0.299886	−	0.953975i	$-0.596949\pi$
$571$	−3.64055e13			−0.599772			−0.299886	+	0.953975i	$0.596949\pi$
$572$	1.03619e13	−	7.25549e12i	0.169223	−	0.118491i
$573$	−7.52599e13	+	6.58439e12i	−1.21840	+	0.106596i
$574$	2.80750e13	−	7.71354e13i	0.450568	−	1.23793i
$575$	−9.31430e12	+	1.92415e12i	−0.148187	+	0.0306126i
$576$	1.19590e13	−	1.00348e13i	0.188618	−	0.158269i
$577$	1.22581e13	−	4.57477e13i	0.191665	−	0.715304i	−0.801440	−	0.598075i	$-0.795932\pi$
$577$	1.22581e13	−	4.57477e13i	0.191665	−	0.715304i	0.993105	−	0.117228i	$-0.0374010\pi$
$578$	5.80383e13	+	2.16602e14i	0.899654	+	3.35755i
$579$	−8.68786e12	+	1.53190e12i	−0.133512	+	0.0235418i
$580$	−1.62510e14	−	4.86441e13i	−2.47594	−	0.741122i
$581$	6.56696e12	−	1.13743e13i	0.0991937	−	0.171808i
$582$	6.04069e13	−	2.25442e14i	0.904632	−	3.37613i
$583$	−7.39024e11	+	8.44708e12i	−0.0109728	+	0.125419i
$584$	−8.03342e13	−	2.20716e14i	−1.18260	−	3.24916i
$585$	1.81955e12	+	5.28587e10i	0.0265573	+	0.000771502i
$586$	−1.38689e14	−	1.16374e14i	−2.00703	−	1.68409i
$587$	2.85339e13	−	1.99797e13i	0.409422	−	0.286680i	−0.350666	−	0.936501i	$-0.614045\pi$
$587$	2.85339e13	−	1.99797e13i	0.409422	−	0.286680i	0.760088	+	0.649820i	$0.225156\pi$
$588$	2.60116e14	−	2.60116e14i	3.70067	−	3.70067i
$589$	3.78953e12	+	1.28044e13i	0.0534575	+	0.180627i
$590$	4.89582e13	+	1.47724e14i	0.684802	+	2.06629i
$591$	2.56428e12	−	1.45427e13i	0.0355654	−	0.201701i
$592$	−1.96377e13	−	2.24460e14i	−0.270074	−	3.08696i
$593$	1.68398e13	−	7.85251e12i	0.229648	−	0.107087i	−0.304389	−	0.952548i	$-0.598452\pi$
$593$	1.68398e13	−	7.85251e12i	0.229648	−	0.107087i	0.534037	+	0.845461i	$0.320674\pi$
$594$	8.92587e12	+	2.45236e13i	0.120703	+	0.331629i
$595$	−2.08889e14	+	4.95178e13i	−2.80111	+	0.664013i
$596$	1.70734e14	+	2.95720e14i	2.27033	+	3.93232i
$597$	−8.57837e13	+	2.29857e13i	−1.13118	+	0.303100i
$598$	−7.78386e12	−	5.45032e12i	−0.101786	−	0.0712715i
$599$	−6.09736e13	+	1.07513e13i	−0.790693	+	0.139420i	−0.554388	−	0.832258i	$-0.687048\pi$
$599$	−6.09736e13	+	1.07513e13i	−0.790693	+	0.139420i	−0.236305	+	0.971679i	$0.575936\pi$
$600$	2.96572e13	+	2.53529e14i	0.381394	+	3.26040i
$601$	1.59865e13	+	2.76895e13i	0.203883	+	0.353136i	0.949776	−	0.312929i	$-0.101310\pi$
$601$	1.59865e13	+	2.76895e13i	0.203883	+	0.353136i	−0.745893	+	0.666066i	$0.767977\pi$
$602$	3.37302e14	+	2.95101e13i	4.26615	+	0.373240i
$603$	3.10074e12	−	6.64957e12i	0.0388937	−	0.0834078i
$604$	8.46767e13	−	2.32647e14i	1.05337	−	2.89410i
$605$	−7.20892e13	+	3.11002e13i	−0.889393	+	0.383696i
$606$	−2.12791e13	+	1.20680e14i	−0.260370	+	1.47663i
$607$	−3.69870e12	−	3.69870e12i	−0.0448854	−	0.0448854i	0.684308	−	0.729193i	$-0.260104\pi$
$607$	−3.69870e12	−	3.69870e12i	−0.0448854	−	0.0448854i	−0.729193	+	0.684308i	$0.760104\pi$
$608$	−3.15080e14	−	1.05508e14i	−3.79230	−	1.26989i
$609$		−	1.31216e14i		−	1.56639i
$610$	3.25646e13	+	2.22245e14i	0.385564	+	2.63137i
$611$	1.83848e13	+	1.54266e13i	0.215900	+	0.181161i
$612$	−1.04547e13	−	2.24203e13i	−0.121775	−	0.261146i
$613$	−5.88954e12	+	1.26302e13i	−0.0680423	+	0.145917i	−0.937388	−	0.348288i	$-0.886763\pi$
$613$	−5.88954e12	+	1.26302e13i	−0.0680423	+	0.145917i	0.869345	+	0.494205i	$0.164541\pi$
$614$	6.66843e13	+	7.94713e13i	0.764155	+	0.910685i
$615$	−2.23674e13	+	2.51365e13i	−0.254238	+	0.285712i
$616$	4.58605e13	−	7.94328e13i	0.517053	−	0.895563i
$617$	3.84487e13	−	5.49105e13i	0.429988	−	0.614087i	−0.544436	−	0.838802i	$-0.683256\pi$
$617$	3.84487e13	−	5.49105e13i	0.429988	−	0.614087i	0.974424	+	0.224716i	$0.0721453\pi$
$618$	1.01127e14	+	7.08099e13i	1.12182	+	0.785510i
$619$	−5.30268e13	−	3.06150e13i	−0.583501	−	0.336885i	0.179022	−	0.983845i	$-0.442707\pi$
$619$	−5.30268e13	−	3.06150e13i	−0.583501	−	0.336885i	−0.762524	+	0.646960i	$0.776040\pi$
$620$	−2.76235e12	−	4.73897e13i	−0.0301523	−	0.517280i
$621$	1.10139e13	−	9.24174e12i	0.119257	−	0.100068i
$622$	2.49867e14	+	1.16515e14i	2.68385	+	1.25150i
$623$	−7.70206e13	+	3.59153e13i	−0.820667	+	0.382683i
$624$	−9.52576e13	+	1.13524e14i	−1.00688	+	1.19995i
$625$	8.52314e13	+	4.27850e13i	0.893716	+	0.448633i
$626$	1.63292e12			0.0169861
$627$	1.03474e13	−	1.30022e13i	0.106781	−	0.134177i
$628$	7.09053e13	−	7.09053e13i	0.725906	−	0.725906i
$629$	−1.31641e14	−	2.32118e13i	−1.33702	−	0.235752i
$630$	1.90417e13	−	8.21484e12i	0.191868	−	0.0827744i
$631$	6.34695e12	+	2.31010e12i	0.0634480	+	0.0230932i	0.373549	−	0.927610i	$-0.378141\pi$
$631$	6.34695e12	+	2.31010e12i	0.0634480	+	0.0230932i	−0.310101	+	0.950704i	$0.600363\pi$
$632$	1.12609e14	+	5.25102e13i	1.11683	+	0.520785i
$633$	1.50746e12	−	1.72303e13i	0.0148329	−	0.169541i
$634$	−7.39805e13	+	4.27127e13i	−0.722222	+	0.416975i
$635$	1.15206e13	−	5.58076e13i	0.111585	−	0.540536i
$636$	−3.42061e13	−	1.93993e14i	−0.328714	−	1.86423i
$637$	5.01269e13	−	7.15887e13i	0.477941	−	0.682570i
$638$	−8.81761e12	−	3.29078e13i	−0.0834156	−	0.311311i
$639$	−3.85274e12	+	2.22438e12i	−0.0361631	+	0.0208788i
$640$	3.30014e14	+	2.03534e14i	3.07349	+	1.89556i
$641$	−4.29615e13	+	1.56367e13i	−0.396999	+	0.144496i	−0.532802	−	0.846240i	$-0.678861\pi$
$641$	−4.29615e13	+	1.56367e13i	−0.396999	+	0.144496i	0.135803	+	0.990736i	$0.456639\pi$
$642$	−5.44798e13	−	1.16832e14i	−0.499529	−	1.07124i
$643$	9.52409e12	−	8.33250e11i	0.0866500	−	0.00758090i	−0.0437483	−	0.999043i	$-0.513930\pi$
$643$	9.52409e12	−	8.33250e11i	0.0866500	−	0.00758090i	0.130398	+	0.991462i	$0.458374\pi$
$644$	−7.81875e13	−	1.37866e13i	−0.705843	−	0.124459i
$645$	−1.24030e14	−	6.22830e13i	−1.11104	−	0.557918i
$646$	−2.01114e14	+	3.03693e14i	−1.78764	+	2.69943i
$647$	−7.02035e13	−	7.02035e13i	−0.619209	−	0.619209i	0.326120	−	0.945329i	$-0.394259\pi$
$647$	−7.02035e13	−	7.02035e13i	−0.619209	−	0.619209i	−0.945329	+	0.326120i	$0.894259\pi$
$648$	−2.07403e14	−	2.96202e14i	−1.81526	−	2.59246i
$649$	−1.47340e13	+	1.75594e13i	−0.127967	+	0.152505i
$650$	2.73354e13	+	9.12756e13i	0.235591	+	0.786662i
$651$	3.45049e13	−	1.25588e13i	0.295104	−	0.107409i
$652$	−1.42488e13	−	1.24661e12i	−0.120932	−	0.0105802i
$653$	−8.43086e13	−	2.25904e13i	−0.710078	−	0.190265i	−0.114337	−	0.993442i	$-0.536475\pi$
$653$	−8.43086e13	−	2.25904e13i	−0.710078	−	0.190265i	−0.595740	+	0.803177i	$0.703141\pi$
$654$	−3.66190e13	−	2.11420e13i	−0.306068	−	0.176708i
$655$	−5.31905e12	−	1.59215e12i	−0.0441192	−	0.0132062i
$656$	3.17976e13	+	1.80333e14i	0.261743	+	1.48442i
$657$	7.55555e12	−	2.02450e12i	0.0617219	−	0.0165383i
$658$	2.64102e14	+	7.07658e13i	2.14112	+	0.573712i
$659$	−5.67642e13	−	6.76489e13i	−0.456717	−	0.544294i	0.487714	−	0.873003i	$-0.337831\pi$
$659$	−5.67642e13	−	6.76489e13i	−0.456717	−	0.544294i	−0.944431	+	0.328709i	$0.893386\pi$
$660$	−4.63353e13	+	3.66407e13i	−0.369992	+	0.292580i
$661$	1.80973e14	+	6.58689e13i	1.43419	+	0.522003i	0.938130	−	0.346284i	$-0.112556\pi$
$661$	1.80973e14	+	6.58689e13i	1.43419	+	0.522003i	0.496062	+	0.868287i	$0.334779\pi$
$662$	1.50415e13	+	1.71926e14i	0.118305	+	1.35223i
$663$	5.04275e13	+	7.20179e13i	0.393640	+	0.562176i
$664$			5.04200e13i			0.390627i
$665$	−1.83042e14	−	1.29015e14i	−1.40748	−	0.992049i
$666$	1.29128e13			0.0985485
$667$	−1.53747e13	+	1.07655e13i	−0.116460	+	0.0815462i
$668$	1.44080e14	−	1.26054e13i	1.08323	−	0.0947707i
$669$	−4.64261e13	+	1.27555e14i	−0.346443	+	0.951844i
$670$	3.81446e14	+	4.45667e13i	2.82527	+	0.330093i
$671$	−2.53438e13	+	2.12659e13i	−0.186320	+	0.156341i
$672$	−2.36482e14	+	8.82561e14i	−1.72564	+	6.44019i
$673$	−3.70709e12	−	1.38351e13i	−0.0268509	−	0.100209i	0.951200	−	0.308575i	$-0.0998521\pi$
$673$	−3.70709e12	−	1.38351e13i	−0.0268509	−	0.100209i	−0.978051	+	0.208366i	$0.933185\pi$
$674$	−2.02756e14	+	3.57513e13i	−1.45772	+	0.257035i
$675$	−1.44104e14	+	4.20641e12i	−1.02839	+	0.0300188i
$676$	1.59248e14	−	2.75826e14i	1.12808	−	1.95390i
$677$	3.91116e13	−	1.45966e14i	0.275018	−	1.02638i	−0.680811	−	0.732460i	$-0.738372\pi$
$677$	3.91116e13	−	1.45966e14i	0.275018	−	1.02638i	0.955829	−	0.293923i	$-0.0949610\pi$
$678$	2.99878e13	−	3.42762e14i	0.209313	−	2.39246i
$679$	−1.58451e14	−	4.35341e14i	−1.09786	−	3.01634i
$680$	5.99424e14	−	5.65580e14i	4.12277	−	3.89000i
$681$	−1.14882e14	−	9.63972e13i	−0.784360	−	0.658156i
$682$	7.80956e12	−	5.46831e12i	0.0529304	−	0.0370622i
$683$	−4.75562e13	+	4.75562e13i	−0.319966	+	0.319966i	−0.848754	−	0.528788i	$-0.822647\pi$
$683$	−4.75562e13	+	4.75562e13i	−0.319966	+	0.319966i	0.528788	+	0.848754i	$0.322647\pi$
$684$	1.02955e13	−	2.36627e13i	0.0687652	−	0.158046i
$685$	−2.20209e14	+	7.29807e13i	−1.46010	+	0.483899i
$686$	8.49137e13	−	4.81569e14i	0.558930	−	3.16985i
$687$	−1.46163e13	−	1.67065e14i	−0.0955109	−	1.09169i
$688$	−6.84552e14	+	3.19212e14i	−4.44083	+	2.07079i
$689$	−1.60060e13	−	4.39761e13i	−0.103083	−	0.283218i
$690$	3.77693e13	+	2.32940e13i	0.241487	+	0.148936i
$691$	3.42928e12	+	5.93968e12i	0.0217677	+	0.0377027i	0.876704	−	0.481030i	$-0.159737\pi$
$691$	3.42928e12	+	5.93968e12i	0.0217677	+	0.0377027i	−0.854936	+	0.518733i	$0.826404\pi$
$692$	−6.63513e14	+	1.77788e14i	−4.18137	+	1.12040i
$693$	2.50211e12	+	1.75200e12i	0.0156546	+	0.0109614i
$694$	2.63338e14	−	4.64337e13i	1.63575	−	0.288427i
$695$	2.66820e14	−	1.75508e14i	1.64549	−	1.08236i
$696$	2.51864e14	+	4.36241e14i	1.54212	+	2.67104i
$697$	1.08221e14	+	9.46812e12i	0.657882	+	0.0575572i
$698$	−1.03982e14	+	2.22990e14i	−0.627597	+	1.34589i
$699$	1.10299e14	−	3.03043e14i	0.660975	−	1.81601i
$700$	5.29292e14	+	5.94649e14i	3.14923	+	3.53810i
$701$	−2.50197e13	+	1.41894e14i	−0.147806	+	0.838249i	0.817265	+	0.576262i	$0.195489\pi$
$701$	−2.50197e13	+	1.41894e14i	−0.147806	+	0.838249i	−0.965071	+	0.261988i	$0.915622\pi$
$702$	−1.01848e14	−	1.01848e14i	−0.597403	−	0.597403i
$703$	−7.28284e13	−	1.18909e14i	−0.424155	−	0.692528i
$704$			1.20358e14i			0.696003i
$705$	−8.99014e13	−	6.69226e13i	−0.516203	−	0.384262i
$706$	−4.51827e14	−	3.79127e14i	−2.57601	−	2.16153i
$707$	1.02798e14	+	2.20451e14i	0.581952	+	1.24800i
$708$	2.25047e14	−	4.82616e14i	1.26505	−	2.71291i
$709$	−1.77399e14	−	2.11416e14i	−0.990192	−	1.18007i	−0.983651	−	0.180087i	$-0.942362\pi$
$709$	−1.77399e14	−	2.11416e14i	−0.990192	−	1.18007i	−0.00654173	−	0.999979i	$-0.502082\pi$
$710$	−1.73961e14	−	1.54798e14i	−0.964187	−	0.857973i
$711$	−2.06890e12	+	3.58344e12i	−0.0113865	+	0.0197220i
$712$	1.87125e14	−	2.67242e14i	1.02266	−	1.46051i
$713$	−4.30243e12	−	3.01259e12i	−0.0233489	−	0.0163491i
$714$	8.67421e14	+	5.00806e14i	4.67454	+	2.69885i
$715$	−9.32921e12	+	1.04841e13i	−0.0499246	+	0.0561050i
$716$	−4.81455e14	+	4.03989e14i	−2.55853	+	2.14686i
$717$	1.03042e14	+	4.80492e13i	0.543773	+	0.253566i
$718$	1.41755e14	−	6.61013e13i	0.742874	−	0.346408i
$719$	8.87019e13	−	1.05711e14i	0.461624	−	0.550142i	−0.484142	−	0.874989i	$-0.660868\pi$
$719$	8.87019e13	−	1.05711e14i	0.461624	−	0.550142i	0.945767	+	0.324847i	$0.105313\pi$
$720$	−2.76241e13	+	3.71092e13i	−0.142766	+	0.191787i
$721$	2.45051e14			1.25771
$722$	−3.76292e14	+	5.27016e13i	−1.91796	+	0.268619i
$723$	−1.71098e14	+	1.71098e14i	−0.866071	+	0.866071i
$724$	7.59900e14	+	1.33991e14i	3.82000	+	0.673570i
$725$	1.87882e14	+	1.09253e13i	0.937981	+	0.0545437i
$726$	3.44217e14	+	1.25285e14i	1.70667	+	0.621177i
$727$	−8.88887e13	−	4.14495e13i	−0.437698	−	0.204102i	0.191263	−	0.981539i	$-0.438742\pi$
$727$	−8.88887e13	−	4.14495e13i	−0.437698	−	0.204102i	−0.628961	+	0.777437i	$0.716519\pi$
$728$	−4.41198e13	+	5.04292e14i	−0.215763	+	2.46618i
$729$	1.88036e14	−	1.08562e14i	0.913276	−	0.527280i
$730$	2.25003e14	+	3.42066e14i	1.08536	+	1.65004i
$731$	7.78116e13	+	4.41292e14i	0.372784	+	2.11416i
$732$	4.40839e14	−	6.29583e14i	2.09761	−	2.99569i
$733$	−5.81764e13	−	2.17117e14i	−0.274933	−	1.02606i	−0.955886	−	0.293737i	$-0.905101\pi$
$733$	−5.81764e13	−	2.17117e14i	−0.274933	−	1.02606i	0.680953	−	0.732327i	$-0.261566\pi$
$734$	−2.95468e14	+	1.70589e14i	−1.38685	+	0.800699i
$735$	−2.14236e14	+	3.47366e14i	−0.998749	+	1.61939i
$736$	1.22812e14	−	4.47000e13i	0.568659	−	0.206975i
$737$	2.39056e13	+	5.12656e13i	0.109941	+	0.235770i
$738$	−1.04543e13	+	9.14632e11i	−0.0477543	+	0.00417796i
$739$	−1.78799e14	−	3.15270e13i	−0.811226	−	0.143041i	−0.247377	−	0.968919i	$-0.579569\pi$
$739$	−1.78799e14	−	3.15270e13i	−0.811226	−	0.143041i	−0.563849	+	0.825878i	$0.690680\pi$
$740$	1.55940e14	+	4.70526e14i	0.702745	+	2.12043i
$741$	−2.14308e13	+	8.91720e13i	−0.0959283	+	0.399151i
$742$	−3.76999e14	−	3.76999e14i	−1.67618	−	1.67618i
$743$	1.58876e14	+	2.26899e14i	0.701640	+	1.00205i	0.998883	+	0.0472441i	$0.0150439\pi$
$743$	1.58876e14	+	2.26899e14i	0.701640	+	1.00205i	−0.297243	+	0.954802i	$0.596067\pi$
$744$	−9.06089e13	+	1.07983e14i	−0.397472	+	0.473688i
$745$	−2.59987e14	−	2.75545e14i	−1.13285	−	1.20063i
$746$	−3.35327e14	+	1.22049e14i	−1.45136	+	0.528251i
$747$	−1.67271e12	−	1.46343e11i	−0.00719147	−	0.000629172i
$748$	1.84222e14	+	4.93622e13i	0.786745	+	0.210808i
$749$	−2.21601e14	−	1.27941e14i	−0.940073	−	0.542752i
$750$	−1.52241e14	−	4.18096e14i	−0.641540	−	1.76185i
$751$	3.79077e12	+	2.14985e13i	0.0158682	+	0.0899930i	0.991713	−	0.128470i	$-0.0410067\pi$
$751$	3.79077e12	+	2.14985e13i	0.0158682	+	0.0899930i	−0.975845	+	0.218463i	$0.929896\pi$
$752$	−5.89152e14	+	1.57863e14i	−2.44984	+	0.656433i
$753$	−2.28463e14	−	6.12164e13i	−0.943715	−	0.252868i
$754$	1.20862e14	+	1.44038e14i	0.495945	+	0.591045i
$755$	−3.18749e13	+	2.72817e14i	−0.129931	+	1.11208i
$756$	−1.13086e15	−	4.11599e14i	−4.57931	−	1.66673i
$757$	1.83772e13	+	2.10053e14i	0.0739266	+	0.844985i	0.939130	+	0.343563i	$0.111634\pi$
$757$	1.83772e13	+	2.10053e14i	0.0739266	+	0.844985i	−0.865203	+	0.501422i	$0.832811\pi$
$758$	−4.15003e14	−	5.92686e14i	−1.65846	−	2.36853i
$759$			6.53597e12i			0.0259478i
$760$	8.56182e14	+	7.75820e13i	3.37674	+	0.305980i
$761$	2.57126e14			1.00745			0.503724	−	0.863865i	$-0.331963\pi$
$761$	2.57126e14			1.00745			0.503724	+	0.863865i	$0.331963\pi$
$762$	−2.17787e14	+	1.52496e14i	−0.847729	+	0.593586i
$763$	−8.36128e13	+	7.31517e12i	−0.323333	+	0.0282880i
$764$	3.09359e14	−	8.49956e14i	1.18849	−	3.26535i
$765$	1.70236e13	+	2.15278e13i	0.0649747	+	0.0821660i
$766$	−9.25690e13	+	7.76746e13i	−0.351012	+	0.294534i
$767$	3.27431e13	−	1.22199e14i	0.123351	−	0.460352i
$768$	−2.05123e14	−	7.65531e14i	−0.767731	−	2.86521i
$769$	5.57019e13	−	9.82174e12i	0.207128	−	0.0365222i	−0.0691215	−	0.997608i	$-0.522020\pi$
$769$	5.57019e13	−	9.82174e12i	0.207128	−	0.0365222i	0.276249	+	0.961086i	$0.410908\pi$
$770$	−4.58479e13	+	1.53168e14i	−0.169381	+	0.565869i
$771$	1.33262e14	−	2.30816e14i	0.489140	−	0.847215i
$772$	2.73369e13	−	1.02023e14i	0.0996925	−	0.372057i
$773$	−4.36209e13	+	4.98589e14i	−0.158051	+	1.80653i	0.341112	+	0.940023i	$0.389196\pi$
$773$	−4.36209e13	+	4.98589e14i	−0.158051	+	1.80653i	−0.499163	+	0.866508i	$0.666359\pi$
$774$	−1.48050e13	−	4.06764e13i	−0.0532971	−	0.146433i
$775$	1.51093e13	+	5.04514e13i	0.0540425	+	0.180453i
$776$	1.36240e15	+	1.14319e15i	4.84169	+	4.06266i
$777$	−3.14088e14	+	2.19927e14i	−1.10904	+	0.776556i
$778$	−1.16684e14	+	1.16684e14i	−0.409366	+	0.409366i
$779$	6.73847e13	+	9.11106e13i	0.234895	+	0.317601i
$780$	1.46306e14	−	2.91353e14i	0.506744	−	1.00913i
$781$	5.95584e12	−	3.37772e13i	0.0204969	−	0.116244i
$782$	−1.24868e13	−	1.42724e14i	−0.0426988	−	0.488050i
$783$	−2.57842e14	+	1.20234e14i	−0.876084	+	0.408524i
$784$	7.59645e14	+	2.08711e15i	2.56466	+	7.04636i
$785$	−5.83989e13	+	9.46888e13i	−0.195910	+	0.317651i
$786$	1.29524e13	+	2.24342e13i	0.0431754	+	0.0747820i
$787$	4.53295e13	−	1.21460e13i	0.150144	−	0.0402309i	−0.182964	−	0.983120i	$-0.558569\pi$
$787$	4.53295e13	−	1.21460e13i	0.150144	−	0.0402309i	0.333108	+	0.942889i	$0.391903\pi$
$788$	1.44827e14	+	1.01409e14i	0.476672	+	0.333769i
$789$	5.01238e13	−	8.83817e12i	0.163930	−	0.0289053i
$790$	−2.12113e14	−	4.37875e13i	−0.689337	−	0.142303i
$791$	−3.41485e14	−	5.91469e14i	−1.10278	−	1.91007i
$792$	−1.16814e13	−	1.02199e12i	−0.0374860	−	0.00327960i
$793$	7.71674e13	−	1.65486e14i	0.246075	−	0.527710i
$794$	−1.38443e14	+	3.80370e14i	−0.438702	+	1.20532i
$795$	8.65699e13	+	2.00666e14i	0.272603	+	0.631885i
$796$	1.84639e14	−	1.04714e15i	0.577773	−	3.27671i
$797$	7.28233e13	+	7.28233e13i	0.226453	+	0.226453i	0.811209	−	0.584756i	$-0.198810\pi$
$797$	7.28233e13	+	7.28233e13i	0.226453	+	0.226453i	−0.584756	+	0.811209i	$0.698810\pi$
$798$	2.08062e14	+	1.02390e15i	0.642950	+	3.16406i
$799$			3.61849e14i			1.11120i
$800$	−1.24400e15	−	4.12089e14i	−3.79640	−	1.25760i
$801$	8.32276e12	+	6.98363e12i	0.0252409	+	0.0211796i
$802$	−1.31729e14	−	2.82494e14i	−0.397017	−	0.851406i
$803$	−2.54861e13	+	5.46552e13i	−0.0763354	+	0.163702i
$804$	−8.44674e14	−	1.00664e15i	−2.51425	−	2.99637i
$805$	8.79333e13	−	5.12563e12i	0.260120	−	0.0151624i
$806$	−2.63088e13	+	4.55681e13i	−0.0773438	+	0.133963i
$807$	8.28980e13	−	1.18391e14i	0.242201	−	0.345899i
$808$	−7.64908e14	−	5.35594e14i	−2.22102	−	1.55517i
$809$	−9.12044e13	−	5.26569e13i	−0.263192	−	0.151954i	0.362598	−	0.931946i	$-0.381890\pi$
$809$	−9.12044e13	−	5.26569e13i	−0.263192	−	0.151954i	−0.625790	+	0.779992i	$0.715223\pi$
$810$	4.70880e14	+	4.19008e14i	1.35047	+	1.20170i
$811$	4.46972e14	−	3.75054e14i	1.27402	−	1.06903i	0.279980	−	0.960006i	$-0.409672\pi$
$811$	4.46972e14	−	3.75054e14i	1.27402	−	1.06903i	0.994039	−	0.109024i	$-0.0347724\pi$
$812$	1.42382e15	+	6.63937e14i	4.03342	+	1.88082i
$813$	−5.46101e13	+	2.54651e13i	−0.153752	+	0.0716957i
$814$	−6.39914e13	+	7.62620e13i	−0.179060	+	0.213396i
$815$	1.57010e13	−	2.30060e12i	0.0436655	−	0.00639813i
$816$	−2.23437e15			−6.17596
$817$	−2.91072e14	+	3.65748e14i	−0.799631	+	1.00478i
$818$	−6.65059e14	+	6.65059e14i	−1.81591	+	1.81591i
$819$	−1.66021e13	−	2.92740e12i	−0.0450550	−	0.00794441i
$820$	−1.59577e14	−	3.69895e14i	−0.430430	−	0.997721i
$821$	2.29648e14	+	8.35850e13i	0.615668	+	0.224085i	0.630982	−	0.775798i	$-0.282652\pi$
$821$	2.29648e14	+	8.35850e13i	0.615668	+	0.224085i	−0.0153132	+	0.999883i	$0.504875\pi$
$822$	9.80963e14	+	4.57430e14i	2.61393	+	1.21889i
$823$	−8.83312e12	+	1.00963e14i	−0.0233946	+	0.267401i	0.975485	+	0.220068i	$0.0706279\pi$
$823$	−8.83312e12	+	1.00963e14i	−0.0233946	+	0.267401i	−0.998879	+	0.0473333i	$0.984928\pi$
$824$	−8.14695e14	+	4.70364e14i	−2.14466	+	1.23822i
$825$	4.06435e13	−	5.14119e13i	0.106346	−	0.134522i
$826$	−2.50275e14	−	1.41938e15i	−0.650904	−	3.69146i
$827$	−1.10715e14	+	1.58117e14i	−0.286205	+	0.408743i	−0.936351	−	0.351067i	$-0.885819\pi$
$827$	−1.10715e14	+	1.58117e14i	−0.286205	+	0.408743i	0.650145	+	0.759810i	$0.274708\pi$
$828$	2.62702e12	+	9.80419e12i	0.00675014	+	0.0251918i
$829$	3.37678e13	−	1.94958e13i	0.0862442	−	0.0497931i	−0.456258	−	0.889848i	$-0.650810\pi$
$829$	3.37678e13	−	1.94958e13i	0.0862442	−	0.0497931i	0.542502	+	0.840055i	$0.317477\pi$
$830$	−2.02727e13	−	8.55194e13i	−0.0514660	−	0.217107i
$831$	4.59878e14	−	1.67382e14i	1.16048	−	0.422380i
$832$	−2.80732e14	−	6.02031e14i	−0.704165	−	1.51009i
$833$	1.31264e15	−	1.14841e14i	3.27282	−	0.286335i
$834$	−1.46743e15	−	2.58747e14i	−3.63685	−	0.641275i
$835$	−1.52312e14	+	5.04786e13i	−0.375234	+	0.124358i
$836$	8.87287e13	+	1.78069e14i	0.217287	+	0.436070i
$837$	−5.62952e13	−	5.62952e13i	−0.137039	−	0.137039i
$838$	6.38934e14	+	9.12493e14i	1.54610	+	2.20805i
$839$	1.99039e14	−	2.37205e14i	0.478771	−	0.570577i	−0.471554	−	0.881837i	$-0.656307\pi$
$839$	1.99039e14	−	2.37205e14i	0.478771	−	0.570577i	0.950325	+	0.311260i	$0.100751\pi$
$840$	6.86459e13	−	2.36298e15i	0.164141	−	5.65021i
$841$	−4.63399e13	+	1.68664e13i	−0.110148	+	0.0400905i
$842$	1.21616e13	+	1.06400e12i	0.0287363	+	0.00251410i
$843$	−3.40786e14	−	9.13133e13i	−0.800468	−	0.214485i
$844$	1.79337e14	+	1.03540e14i	0.418754	+	0.241768i
$845$	−1.01327e14	+	3.38513e14i	−0.235203	+	0.785764i
$846$	−6.06987e12	−	3.44240e13i	−0.0140064	−	0.0794345i
$847$	7.02333e14	−	1.88190e14i	1.61111	−	0.431696i
$848$	1.14883e15	+	3.07827e14i	2.61984	+	0.701985i
$849$	−2.93398e14	−	3.49658e14i	−0.665148	−	0.792693i
$850$	−7.89301e14	+	1.20032e15i	−1.77889	+	2.70521i
$851$	5.15379e13	+	1.87583e13i	0.115473	+	0.0420286i
$852$	6.94448e13	+	7.93758e14i	0.154683	+	1.76803i
$853$	−3.91759e14	−	5.59490e14i	−0.867508	−	1.23893i	−0.969733	−	0.244169i	$-0.921485\pi$
$853$	−3.91759e14	−	5.59490e14i	−0.867508	−	1.23893i	0.102225	−	0.994761i	$-0.467404\pi$
$854$		−	2.08022e15i		−	4.57952i
$855$	−5.05888e12	+	2.81791e13i	−0.0110719	+	0.0616732i
$856$	9.82310e14			2.13737
$857$	3.96811e14	−	2.77850e14i	0.858380	−	0.601044i	−0.0593552	−	0.998237i	$-0.518904\pi$
$857$	3.96811e14	−	2.77850e14i	0.858380	−	0.601044i	0.917735	+	0.397193i	$0.130016\pi$
$858$	6.52282e13	−	5.70673e12i	0.140281	−	0.0122730i
$859$	−6.93034e13	+	1.90409e14i	−0.148180	+	0.407120i	−0.991470	−	0.130339i	$-0.958393\pi$
$859$	−6.93034e13	+	1.90409e14i	−0.148180	+	0.407120i	0.843290	+	0.537459i	$0.180616\pi$
$860$	1.30340e15	−	1.03070e15i	2.77068	−	2.19098i
$861$	2.38710e14	−	2.00301e14i	0.504492	−	0.423319i
$862$	−2.32597e14	+	8.68064e14i	−0.488728	+	1.82396i
$863$	1.49027e13	+	5.56178e13i	0.0311324	+	0.116188i	0.979743	−	0.200257i	$-0.0641776\pi$
$863$	1.49027e13	+	5.56178e13i	0.0311324	+	0.116188i	−0.948611	+	0.316444i	$0.897511\pi$
$864$	1.95094e15	−	3.44003e14i	4.05205	−	0.714486i
$865$	6.70781e14	−	3.61722e14i	1.38516	−	0.746955i
$866$	3.96832e14	−	6.87334e14i	0.814738	−	1.41117i
$867$	−2.20324e14	+	8.22262e14i	−0.449746	+	1.67847i
$868$	−3.83162e13	+	4.37956e14i	−0.0777649	+	0.888856i
$869$	−1.09107e13	−	2.99770e13i	−0.0220168	−	0.0604908i
$870$	−6.02598e14	−	6.38657e14i	−1.20901	−	1.28136i
$871$	−2.39152e14	−	2.00672e14i	−0.477070	−	0.400310i
$872$	2.63938e14	−	1.84811e14i	0.523503	−	0.366561i
$873$	−4.18804e13	+	4.18804e13i	−0.0825923	+	0.0825923i
$874$	1.02901e14	−	1.08384e14i	0.201773	−	0.212523i
$875$	−7.23556e14	−	5.06489e14i	−1.41069	−	0.987483i
$876$	2.43275e14	−	1.37968e15i	0.471603	−	2.67459i
$877$	−2.08457e13	−	2.38267e14i	−0.0401807	−	0.459268i	−0.989457	−	0.144825i	$-0.953738\pi$
$877$	−2.08457e13	−	2.38267e14i	−0.0401807	−	0.459268i	0.949277	−	0.314442i	$-0.101818\pi$
$878$	8.89238e14	−	4.14658e14i	1.70430	−	0.794727i
$879$	−2.35064e14	−	6.45834e14i	−0.447963	−	1.23077i
$880$	−8.22684e13	−	3.47046e14i	−0.155890	−	0.657617i
$881$	3.54564e14	+	6.14123e14i	0.668060	+	1.15711i	0.978446	+	0.206503i	$0.0662084\pi$
$881$	3.54564e14	+	6.14123e14i	0.668060	+	1.15711i	−0.310386	+	0.950611i	$0.600458\pi$
$882$	−1.22950e14	+	3.29444e13i	−0.230349	+	0.0617218i
$883$	2.68438e14	+	1.87962e14i	0.500081	+	0.350160i	0.796243	−	0.604978i	$-0.206818\pi$
$883$	2.68438e14	+	1.87962e14i	0.500081	+	0.350160i	−0.296162	+	0.955138i	$0.595707\pi$
$884$	−1.03662e15	+	1.82784e14i	−1.92025	+	0.338591i
$885$	−1.19440e14	+	5.78585e14i	−0.220006	+	1.06574i
$886$	2.16912e14	+	3.75702e14i	0.397296	+	0.688137i
$887$	4.63738e13	+	4.05718e12i	0.0844607	+	0.00738936i	0.129308	−	0.991605i	$-0.458724\pi$
$887$	4.63738e13	+	4.05718e12i	0.0844607	+	0.00738936i	−0.0448470	+	0.998994i	$0.514280\pi$
$888$	6.22076e14	−	1.33405e15i	1.12662	−	2.41605i
$889$	−1.80498e14	+	4.95914e14i	−0.325060	+	0.893094i
$890$	−2.09938e14	+	5.28518e14i	−0.375960	+	0.946476i
$891$	−1.61213e13	+	9.14285e13i	−0.0287086	+	0.162814i
$892$	−1.14918e15	−	1.14918e15i	−2.03499	−	2.03499i
$893$	−2.82762e14	+	2.50046e14i	−0.497924	+	0.440315i
$894$			1.76753e15i			3.09513i
$895$	4.16359e14	−	5.59322e14i	0.725025	−	0.973972i
$896$	−2.75074e15	−	2.30814e15i	−4.76332	−	3.99690i
$897$	−1.52450e13	−	3.26929e13i	−0.0262521	−	0.0562979i
$898$	2.18606e13	−	4.68802e13i	0.0374352	−	0.0802801i
$899$	6.68050e13	+	7.96151e13i	0.113766	+	0.135580i
$900$	4.03025e13	−	9.34557e13i	0.0682527	−	0.158268i
$901$	3.52797e14	−	6.11061e14i	0.594156	−	1.02911i
$902$	4.64060e13	−	6.62747e13i	0.0777216	−	0.110998i
$903$	1.05290e15	+	7.37248e14i	1.75367	+	1.22793i
$904$	2.27060e15	+	1.31093e15i	3.76096	+	2.17139i
$905$	−8.54619e14	+	4.98157e13i	−1.40776	+	0.0820585i
$906$	9.81708e14	−	8.23750e14i	1.60820	−	1.34944i
$907$	−5.10362e14	−	2.37986e14i	−0.831461	−	0.387716i	−0.0401972	−	0.999192i	$-0.512799\pi$
$907$	−5.10362e14	−	2.37986e14i	−0.831461	−	0.387716i	−0.791264	+	0.611475i	$0.790576\pi$
$908$	1.62729e15	−	7.58816e14i	2.63654	−	1.22944i
$909$	1.99887e13	−	2.38217e13i	0.0322082	−	0.0383842i
$910$	−1.27930e14	−	8.73089e14i	−0.205006	−	1.39911i
$911$	−9.61651e14			−1.53259			−0.766295	−	0.642489i	$-0.777902\pi$
$911$	−9.61651e14			−1.53259			−0.766295	+	0.642489i	$0.777902\pi$
$912$	−1.54401e15	−	1.74602e15i	−2.44723	−	2.76742i
$913$	9.15366e12	−	9.15366e12i	0.0144292	−	0.0144292i
$914$	3.68152e14	+	6.49152e13i	0.577161	+	0.101769i
$915$	−3.14782e14	+	7.92462e14i	−0.490800	+	1.23559i
$916$	1.88676e15	+	6.86726e14i	2.92577	+	1.06489i
$917$	4.66024e13	+	2.17310e13i	0.0718723	+	0.0335146i
$918$	1.89272e14	−	2.16339e15i	0.290318	−	3.31835i
$919$	−6.61329e14	+	3.81818e14i	−1.00888	+	0.582478i	−0.910864	−	0.412707i	$-0.864583\pi$
$919$	−6.61329e14	+	3.81818e14i	−1.00888	+	0.582478i	−0.0980169	+	0.995185i	$0.531250\pi$
$920$	−2.82504e14	+	1.85825e14i	−0.428633	+	0.281945i
$921$	6.83871e13	+	3.87842e14i	0.103199	+	0.585271i
$922$	−1.25413e15	+	1.79109e15i	−1.88230	+	2.68820i
$923$	4.89934e13	+	1.82846e14i	0.0731356	+	0.272946i
$924$	4.73781e14	−	2.73537e14i	0.703424	−	0.406122i
$925$	−2.88750e14	−	4.68038e14i	−0.426396	−	0.691150i
$926$	−1.34321e15	+	4.88887e14i	−1.97282	+	0.718048i
$927$	−1.32399e13	−	2.83931e13i	−0.0193414	−	0.0414777i
$928$	−2.57627e15	+	2.25395e14i	−3.74328	+	0.327495i
$929$	−6.10750e14	−	1.07692e14i	−0.882643	−	0.155634i	−0.286085	−	0.958204i	$-0.592354\pi$
$929$	−6.10750e14	−	1.07692e14i	−0.882643	−	0.155634i	−0.596557	+	0.802570i	$0.703465\pi$
$930$	1.10268e14	−	2.19587e14i	0.158502	−	0.315640i
$931$	9.96811e14	+	9.46390e14i	1.42516	+	1.35307i
$932$	2.73020e15	+	2.73020e15i	3.88254	+	3.88254i
$933$	6.00306e14	+	8.57326e14i	0.849111	+	1.21266i
$934$	−2.41143e14	+	2.87383e14i	−0.339266	+	0.404322i
$935$	−2.11504e14	−	6.14430e12i	−0.295979	−	0.00859834i
$936$	6.08143e13	−	2.21346e13i	0.0846499	−	0.0308100i
$937$	1.26911e15	+	1.11032e14i	1.75711	+	0.153728i	0.919643	−	0.392755i	$-0.128478\pi$
$937$	1.26911e15	+	1.11032e14i	1.75711	+	0.153728i	0.837471	+	0.546482i	$0.184033\pi$
$938$	−3.43547e15	−	9.20532e14i	−4.73121	−	1.26772i
$939$	5.36837e12	+	3.09943e12i	0.00735385	+	0.00424575i
$940$	1.18106e15	−	6.36893e14i	1.60929	−	0.867816i
$941$	3.58557e13	+	2.03348e14i	0.0485971	+	0.275608i	0.999417	−	0.0341359i	$-0.0108679\pi$
$941$	3.58557e13	+	2.03348e14i	0.0485971	+	0.275608i	−0.950820	+	0.309744i	$0.899757\pi$
$942$	5.01364e14	−	1.34340e14i	0.675925	−	0.181114i
$943$	−4.30541e13	−	1.15363e13i	−0.0577372	−	0.0154706i
$944$	2.06667e15	+	2.46296e15i	2.75683	+	3.28546i
$945$	1.32612e15	+	1.54939e14i	1.75964	+	0.205589i
$946$	3.13600e14	+	1.14141e14i	0.413923	+	0.150656i
$947$	1.02329e13	+	1.16963e14i	0.0134354	+	0.153567i	0.999949	−	0.0101131i	$-0.00321915\pi$
$947$	1.02329e13	+	1.16963e14i	0.0134354	+	0.153567i	−0.986514	+	0.163680i	$0.947664\pi$
$948$	4.25074e14	+	6.07069e14i	0.555166	+	0.792859i
$949$		−	3.32831e14i		−	0.432407i
$950$	−1.48340e15	+	2.12660e14i	−1.91708	+	0.274832i
$951$	−3.24291e14			−0.416900
$952$	−6.25209e15	+	4.37776e15i	−7.99541	+	5.59844i
$953$	−8.11275e14	+	7.09774e13i	−1.03206	+	0.0902933i	−0.590580	−	0.806979i	$-0.701101\pi$
$953$	−8.11275e14	+	7.09774e13i	−1.03206	+	0.0902933i	−0.441477	+	0.897273i	$0.645545\pi$
$954$	−2.33125e13	+	6.40505e13i	−0.0295017	+	0.0810552i
$955$	−1.16452e14	+	9.96713e14i	−0.146599	+	1.25474i
$956$	−1.04276e15	+	8.74977e14i	−1.30585	+	1.09574i
$957$	3.34733e13	−	1.24924e14i	0.0417003	−	0.155628i
$958$	4.36082e14	+	1.62748e15i	0.540431	+	2.01692i
$959$	2.11583e15	−	3.73078e14i	2.60848	−	0.459946i
$960$	1.47236e15	+	2.73036e15i	1.80575	+	3.34861i
$961$	3.95272e14	−	6.84632e14i	0.482258	−	0.835295i
$962$	1.42206e14	−	5.30721e14i	0.172601	−	0.644156i
$963$	−2.85114e12	+	3.25887e13i	−0.00344260	+	0.0393491i
$964$	−9.90838e14	−	2.72231e15i	−1.19019	−	3.27003i
$965$	−3.40273e12	+	1.17131e14i	−0.00406622	+	0.139971i
$966$	−3.14815e14	−	2.64161e14i	−0.374257	−	0.314039i
$967$	1.02348e15	−	7.16647e14i	1.21045	−	0.847565i	0.218704	−	0.975791i	$-0.429817\pi$
$967$	1.02348e15	−	7.16647e14i	1.21045	−	0.847565i	0.991745	+	0.128226i	$0.0409283\pi$
$968$	−1.97375e15	+	1.97375e15i	−2.32229	+	2.32229i
$969$	−1.23762e15	+	6.16687e14i	−1.44867	+	0.721848i
$970$	−2.77048e15	−	1.39123e15i	−3.22624	−	1.62009i
$971$	2.56296e14	−	1.45353e15i	0.296924	−	1.68394i	−0.362354	−	0.932041i	$-0.618027\pi$
$971$	2.56296e14	−	1.45353e15i	0.296924	−	1.68394i	0.659278	−	0.751900i	$-0.270862\pi$
$972$	2.60276e13	+	2.97497e14i	0.0299987	+	0.342887i
$973$	−2.68061e15	+	1.24999e15i	−3.07375	+	1.43331i
$974$	−2.43890e14	−	6.70082e14i	−0.278227	−	0.764423i
$975$	−8.33821e13	+	3.51962e14i	−0.0946345	+	0.399460i
$976$	2.32025e15	+	4.01880e15i	2.61991	+	4.53782i
$977$	−2.99904e14	+	8.03590e13i	−0.336906	+	0.0902737i	−0.423306	−	0.905987i	$-0.639130\pi$
$977$	−2.99904e14	+	8.03590e13i	−0.336906	+	0.0902737i	0.0863997	+	0.996261i	$0.472464\pi$
$978$	−6.06479e13	−	4.24661e13i	−0.0677831	−	0.0474623i
$979$	−8.24894e13	+	1.45451e13i	−0.0917243	+	0.0161735i
$980$	−2.68524e15	−	4.08229e15i	−2.97066	−	4.51620i
$981$	5.36513e12	+	9.29268e12i	0.00590521	+	0.0102281i
$982$	2.72139e14	+	2.38091e13i	0.298011	+	0.0260726i
$983$	5.34926e14	−	1.14715e15i	0.582809	−	1.24984i	−0.365002	−	0.931007i	$-0.618932\pi$
$983$	5.34926e14	−	1.14715e15i	0.582809	−	1.24984i	0.947811	−	0.318832i	$-0.103290\pi$
$984$	−4.09144e14	+	1.12411e15i	−0.443507	+	1.21853i
$985$	−1.82296e14	−	7.24116e13i	−0.196605	−	0.0780957i
$986$	−4.92285e14	+	2.79189e15i	−0.528241	+	2.99580i
$987$	7.33939e14	+	7.33939e14i	0.783564	+	0.783564i
$988$	−8.59162e14	−	6.83743e14i	−0.912621	−	0.726286i
$989$		−	1.83856e14i		−	0.194310i
$990$	2.02242e13	−	2.96337e12i	0.0212665	−	0.00311609i
$991$	−2.31591e14	−	1.94328e14i	−0.242300	−	0.203314i	0.513548	−	0.858061i	$-0.328331\pi$
$991$	−2.31591e14	−	1.94328e14i	−0.242300	−	0.203314i	−0.755848	+	0.654747i	$0.772775\pi$
$992$	−3.05847e14	−	6.55890e14i	−0.318380	−	0.682768i
$993$	−2.76881e14	+	5.93772e14i	−0.286778	+	0.614998i
$994$	1.38622e15	+	1.65203e15i	1.42857	+	1.70250i
$995$	6.86458e13	+	1.17766e15i	0.0703879	+	1.20755i
$996$	−1.50366e14	+	2.60442e14i	−0.153410	+	0.265714i
$997$	4.21366e13	−	6.01772e13i	0.0427743	−	0.0610881i	−0.797195	−	0.603722i	$-0.793684\pi$
$997$	4.21366e13	−	6.01772e13i	0.0427743	−	0.0610881i	0.839970	+	0.542634i	$0.182573\pi$
$998$	−2.68329e13	−	1.87886e13i	−0.0271029	−	0.0189776i
$999$	7.19961e14	+	4.15670e14i	0.723571	+	0.417754i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.11.q.a.17.1	✓	1176
5.3	odd	4	inner	95.11.q.a.93.98	yes	1176
19.9	even	9	inner	95.11.q.a.47.98	yes	1176
95.28	odd	36	inner	95.11.q.a.28.1	yes	1176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.11.q.a.17.1	✓	1176	1.1	even	1	trivial
95.11.q.a.28.1	yes	1176	95.28	odd	36	inner
95.11.q.a.47.98	yes	1176	19.9	even	9	inner
95.11.q.a.93.98	yes	1176	5.3	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 11 \)
Character orbit:	\([\chi]\)	\(=\)	95.q (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-50.7659 + 35.5466i) q^{2} +(-234.369 + 20.5046i) q^{3} +(963.381 - 2646.87i) q^{4} +(-362.646 + 3103.89i) q^{5} +(11169.1 - 9371.95i) q^{6} +(7490.51 - 27955.0i) q^{7} +(28755.4 + 107317. i) q^{8} +(-3643.75 + 642.492i) q^{9} +(-91922.7 - 170462. i) q^{10} +(14262.6 - 24703.6i) q^{11} +(-171513. + 640096. i) q^{12} +(-13721.3 + 156835. i) q^{13} +(613443. + 1.68542e6i) q^{14} +(21348.9 - 734889. i) q^{15} +(-3.06501e6 - 2.57185e6i) q^{16} +(-1.94440e6 + 1.36149e6i) q^{17} +(162140. - 162140. i) q^{18} +(-2.40755e6 - 578607. i) q^{19} +(7.86621e6 + 3.95010e6i) q^{20} +(-1.18233e6 + 6.70535e6i) q^{21} +(154075. + 1.76109e6i) q^{22} +(882674. - 411598. i) q^{23} +(-8.93985e6 - 2.45620e7i) q^{24} +(-9.50260e6 - 2.25122e6i) q^{25} +(-4.87838e6 - 8.44961e6i) q^{26} +(1.42595e7 - 3.82083e6i) q^{27} +(-6.67768e7 - 4.67576e7i) q^{28} +(-1.89788e7 + 3.34647e6i) q^{29} +(2.50390e7 + 3.80662e7i) q^{30} +(-2.69646e6 - 4.67041e6i) q^{31} +(1.33683e8 + 1.16957e7i) q^{32} +(-2.83618e6 + 6.08220e6i) q^{33} +(5.03131e7 - 1.38234e8i) q^{34} +(8.40526e7 + 3.33875e7i) q^{35} +(-1.80973e6 + 1.02635e7i) q^{36} +(3.98200e7 + 3.98200e7i) q^{37} +(1.42789e8 - 5.62067e7i) q^{38} -3.70385e7i q^{39} +(-3.43527e8 + 5.03356e7i) q^{40} +(-3.50590e7 - 2.94180e7i) q^{41} +(-1.78331e8 - 3.82431e8i) q^{42} +(7.97812e7 - 1.71091e8i) q^{43} +(-5.16469e7 - 6.15503e7i) q^{44} +(-672829. - 1.15428e7i) q^{45} +(-3.01788e7 + 5.22712e7i) q^{46} +(8.74372e7 - 1.24873e8i) q^{47} +(7.71077e8 + 5.39914e8i) q^{48} +(-4.80741e8 - 2.77556e8i) q^{49} +(5.62431e8 - 2.23500e8i) q^{50} +(4.27790e8 - 3.58959e8i) q^{51} +(4.01902e8 + 1.87410e8i) q^{52} +(-2.69407e8 + 1.25626e8i) q^{53} +(-5.88080e8 + 7.00846e8i) q^{54} +(7.15050e7 + 5.32283e7i) q^{55} +3.21543e9 q^{56} +(5.76117e8 + 8.62416e7i) q^{57} +(8.44519e8 - 8.44519e8i) q^{58} +(-7.91363e8 - 1.39539e8i) q^{59} +(-1.92459e9 - 7.64486e8i) q^{60} +(-1.08987e9 - 3.96679e8i) q^{61} +(3.02906e8 + 1.41247e8i) q^{62} +(-9.33272e6 + 1.06674e8i) q^{63} +(-3.65405e9 + 2.10967e9i) q^{64} +(-4.81822e8 - 9.94649e7i) q^{65} +(-7.22209e7 - 4.09585e8i) q^{66} +(-1.13740e9 + 1.62437e9i) q^{67} +(1.73047e9 + 6.45821e9i) q^{68} +(-1.98431e8 + 1.14564e8i) q^{69} +(-5.45382e9 + 1.29285e9i) q^{70} +(1.12987e9 - 4.11239e8i) q^{71} +(-1.73728e8 - 3.72560e8i) q^{72} +(-2.10605e9 + 1.84256e8i) q^{73} +(-3.43697e9 - 6.06030e8i) q^{74} +(2.27327e9 + 3.32769e8i) q^{75} +(-3.85088e9 + 5.81503e9i) q^{76} +(-5.83755e8 - 5.83755e8i) q^{77} +(1.31660e9 + 1.88029e9i) q^{78} +(7.18852e8 - 8.56694e8i) q^{79} +(9.09425e9 - 8.58078e9i) q^{80} +(-3.05834e9 + 1.11314e9i) q^{81} +(2.82551e9 + 2.47200e8i) q^{82} +(4.38352e8 + 1.17456e8i) q^{83} +(1.66091e10 + 9.58929e9i) q^{84} +(-3.52077e9 - 6.52895e9i) q^{85} +(2.03156e9 + 1.15216e10i) q^{86} +(4.37941e9 - 1.17346e9i) q^{87} +(3.06124e9 + 8.20257e8i) q^{88} +(-1.88749e9 - 2.24942e9i) q^{89} +(4.44464e8 + 5.62063e8i) q^{90} +(4.28154e9 + 1.55835e9i) q^{91} +(-2.39093e8 - 2.73284e9i) q^{92} +(7.27731e8 + 1.03931e9i) q^{93} +9.44740e9i q^{94} +(2.66902e9 - 7.26292e9i) q^{95} -3.15708e10 q^{96} +(1.31127e10 - 9.18163e9i) q^{97} +(3.42714e10 - 2.99836e9i) q^{98} +(-3.60977e7 + 9.91775e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1176 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 14604 q^{6} - 11688 q^{7} - 6 q^{8} - 12 q^{10} - 12 q^{11} - 6 q^{12} - 12 q^{13} + 3424146 q^{15} - 13618884 q^{16} - 3657378 q^{17} - 23774232 q^{18} + 38894436 q^{20}+ \cdots - 86078409906 q^{98}+O(q^{100}) \) 1176 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 14604 * q^6 - 11688 * q^7 - 6 * q^8 - 12 * q^10 - 12 * q^11 - 6 * q^12 - 12 * q^13 + 3424146 * q^15 - 13618884 * q^16 - 3657378 * q^17 - 23774232 * q^18 + 38894436 * q^20 - 8689704 * q^21 - 22604556 * q^22 - 32885808 * q^23 + 42291732 * q^25 - 319452 * q^26 - 6 * q^27 + 144277488 * q^28 - 6 * q^30 - 12 * q^31 - 304326750 * q^32 + 265207902 * q^33 - 173435754 * q^35 - 288159144 * q^36 - 24 * q^37 + 1298228634 * q^38 - 1334600346 * q^40 + 659462736 * q^41 + 362797044 * q^42 - 961639656 * q^43 + 161157936 * q^45 - 12 * q^46 - 886017372 * q^47 + 1630739472 * q^48 + 2215521786 * q^50 + 1125126576 * q^51 + 6132 * q^52 - 657601770 * q^53 - 3332318022 * q^55 - 48 * q^56 - 967967226 * q^57 - 7596060648 * q^58 + 3688833012 * q^60 + 1851266016 * q^61 + 845228664 * q^62 + 3514567662 * q^63 - 1840657236 * q^65 + 19323290088 * q^66 + 20641904172 * q^67 - 5240868870 * q^68 - 8235161100 * q^70 - 24 * q^71 - 64729344936 * q^72 - 3449985870 * q^73 - 34306313016 * q^75 + 10512445536 * q^76 + 46076293368 * q^77 - 51672410862 * q^78 + 20602412592 * q^80 + 46901590776 * q^81 - 12506757996 * q^82 + 22786639188 * q^83 - 22949887236 * q^85 - 81567902124 * q^86 + 3763013226 * q^87 + 8846542842 * q^88 + 87014491266 * q^90 + 37012815456 * q^91 - 35376892980 * q^92 + 96817414890 * q^93 - 20594188944 * q^95 + 84921616752 * q^96 - 9492824088 * q^97 - 86078409906 * q^98

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