LMFDB - Embedded newform 95.11.q.a.47.90

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			47.90
Character	$\chi$	$=$	95.47
Dual form			95.11.q.a.93.90

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(31.6521 - 45.2039i) q^{2} +(6.96162 - 79.5717i) q^{3} +(-691.310 - 1899.36i) q^{4} +(-137.965 + 3121.95i) q^{5} +(-3376.60 - 2833.31i) q^{6} +(11242.2 - 3012.33i) q^{7} +(-53157.1 - 14243.4i) q^{8} +(51868.7 + 9145.86i) q^{9} +(136758. + 105053. i) q^{10} +(-71443.4 - 123744. i) q^{11} +(-155948. + 41786.1i) q^{12} +(31194.3 - 2729.15i) q^{13} +(219669. - 603537. i) q^{14} +(247459. + 32712.0i) q^{15} +(-740864. + 621659. i) q^{16} +(945541. - 1.35037e6i) q^{17} +(2.05519e6 - 2.05519e6i) q^{18} +(-1.80298e6 + 1.69716e6i) q^{19} +(6.02508e6 - 1.89619e6i) q^{20} +(-161432. - 915529. i) q^{21} +(-7.85504e6 - 687227. i) q^{22} +(3.92441e6 - 8.41593e6i) q^{23} +(-1.50343e6 + 4.13065e6i) q^{24} +(-9.72756e6 - 861443. i) q^{25} +(863998. - 1.49649e6i) q^{26} +(2.30958e6 - 8.61947e6i) q^{27} +(-1.34933e7 - 1.92704e7i) q^{28} +(7.69610e6 + 1.35703e6i) q^{29} +(9.31130e6 - 1.01507e7i) q^{30} +(7.29797e6 - 1.26405e7i) q^{31} +(-260002. - 2.97184e6i) q^{32} +(-1.03439e7 + 4.82342e6i) q^{33} +(-3.11138e7 - 8.54844e7i) q^{34} +(7.85332e6 + 3.55131e7i) q^{35} +(-1.84861e7 - 1.04840e8i) q^{36} +(-5.42649e7 - 5.42649e7i) q^{37} +(1.96501e7 + 1.35220e8i) q^{38} -2.50118e6i q^{39} +(5.18011e7 - 1.63989e8i) q^{40} +(-3.88354e6 + 3.25868e6i) q^{41} +(-4.64952e7 - 2.16811e7i) q^{42} +(-2.26421e8 + 1.05582e8i) q^{43} +(-1.85644e8 + 2.21242e8i) q^{44} +(-3.57090e7 + 1.60670e8i) q^{45} +(-2.56217e8 - 4.43781e8i) q^{46} +(1.34707e8 - 9.43231e7i) q^{47} +(4.43088e7 + 6.32796e7i) q^{48} +(-1.27319e8 + 7.35074e7i) q^{49} +(-3.46839e8 + 4.12457e8i) q^{50} +(-1.00869e8 - 8.46391e7i) q^{51} +(-2.67486e7 - 5.73625e7i) q^{52} +(4.58970e7 - 9.84264e7i) q^{53} +(-3.16531e8 - 3.77227e8i) q^{54} +(3.96179e8 - 2.05971e8i) q^{55} -6.40507e8 q^{56} +(1.22494e8 + 1.55281e8i) q^{57} +(3.04941e8 - 3.04941e8i) q^{58} +(6.67414e8 - 1.17683e8i) q^{59} +(-1.08939e8 - 4.92627e8i) q^{60} +(1.24793e9 - 4.54210e8i) q^{61} +(-3.40402e8 - 7.29995e8i) q^{62} +(6.10667e8 - 5.34265e7i) q^{63} +(-1.00023e9 - 5.77482e8i) q^{64} +(4.21654e6 + 9.77637e7i) q^{65} +(-1.09368e8 + 6.20254e8i) q^{66} +(-3.59654e8 + 2.51833e8i) q^{67} +(-3.21850e9 - 8.62395e8i) q^{68} +(-6.42349e8 - 3.70861e8i) q^{69} +(1.85391e9 + 7.69065e8i) q^{70} +(-1.75265e8 - 6.37911e7i) q^{71} +(-2.62693e9 - 1.22496e9i) q^{72} +(-1.18255e7 + 1.35166e8i) q^{73} +(-4.17059e9 + 7.35388e8i) q^{74} +(-1.36266e8 + 7.68041e8i) q^{75} +(4.46992e9 + 2.25124e9i) q^{76} +(-1.17594e9 - 1.17594e9i) q^{77} +(-1.13063e8 - 7.91678e7i) q^{78} +(2.07558e8 + 2.47358e8i) q^{79} +(-1.83858e9 - 2.39871e9i) q^{80} +(2.25270e9 + 8.19915e8i) q^{81} +(2.43827e7 + 2.78696e8i) q^{82} +(1.44320e9 + 5.38610e9i) q^{83} +(-1.62732e9 + 9.39532e8i) q^{84} +(4.08535e9 + 3.13824e9i) q^{85} +(-2.39399e9 + 1.35770e10i) q^{86} +(1.61558e8 - 6.02944e8i) q^{87} +(2.03520e9 + 7.59546e9i) q^{88} +(5.11255e9 - 6.09289e9i) q^{89} +(6.13265e9 + 6.69974e9i) q^{90} +(3.42471e8 - 1.24649e8i) q^{91} +(-1.86978e10 - 1.63585e9i) q^{92} +(-9.55017e8 - 6.68710e8i) q^{93} -9.07483e9i q^{94} +(-5.04970e9 - 5.86296e9i) q^{95} -2.38284e8 q^{96} +(-5.01554e9 + 7.16294e9i) q^{97} +(-7.07081e8 + 8.08197e9i) q^{98} +(-2.57394e9 - 7.07184e9i) 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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

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

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 $

$2$	31.6521	−	45.2039i	0.989129	−	1.41262i	0.0796744	−	0.996821i	$-0.474612\pi$
$2$	31.6521	−	45.2039i	0.989129	−	1.41262i	0.909455	−	0.415802i	$-0.136499\pi$
$3$	6.96162	−	79.5717i	0.0286486	−	0.327455i	−0.968324	−	0.249698i	$-0.919669\pi$
$3$	6.96162	−	79.5717i	0.0286486	−	0.327455i	0.996972	−	0.0777572i	$-0.0247759\pi$
$4$	−691.310	−	1899.36i	−0.675107	−	1.85484i
$5$	−137.965	+	3121.95i	−0.0441489	+	0.999025i
$5$	−137.965	+	3121.95i	−0.0441489	+	0.999025i
$6$	−3376.60	−	2833.31i	−0.434234	−	0.364366i
$7$	11242.2	−	3012.33i	0.668898	−	0.179231i	0.0916396	−	0.995792i	$-0.470789\pi$
$7$	11242.2	−	3012.33i	0.668898	−	0.179231i	0.577258	+	0.816562i	$0.304123\pi$
$8$	−53157.1	−	14243.4i	−1.62223	−	0.434675i
$9$	51868.7	+	9145.86i	0.878401	+	0.154886i
$10$	136758.	+	105053.i	1.36758	+	1.05053i
$11$	−71443.4	−	123744.i	−0.443607	−	0.768351i	0.554347	−	0.832286i	$-0.312968\pi$
$11$	−71443.4	−	123744.i	−0.443607	−	0.768351i	−0.997954	+	0.0639353i	$0.979635\pi$
$12$	−155948.	+	41786.1i	−0.626719	+	0.167929i
$13$	31194.3	−	2729.15i	0.0840153	−	0.00735039i	−0.0450705	−	0.998984i	$-0.514351\pi$
$13$	31194.3	−	2729.15i	0.0840153	−	0.00735039i	0.129086	+	0.991633i	$0.458796\pi$
$14$	219669.	−	603537.i	0.408441	−	1.12218i
$15$	247459.	+	32712.0i	0.325871	+	0.0430775i
$16$	−740864.	+	621659.i	−0.706543	+	0.592860i
$17$	945541.	−	1.35037e6i	0.665941	−	0.951062i	−0.334023	−	0.942565i	$-0.608406\pi$
$17$	945541.	−	1.35037e6i	0.665941	−	0.951062i	0.999964	−	0.00849747i	$-0.00270486\pi$
$18$	2.05519e6	−	2.05519e6i	1.08765	−	1.08765i
$19$	−1.80298e6	+	1.69716e6i	−0.728152	+	0.685416i
$19$	−1.80298e6	+	1.69716e6i	−0.728152	+	0.685416i
$20$	6.02508e6	−	1.89619e6i	1.88284	−	0.592560i
$21$	−161432.	−	915529.i	−0.0395270	−	0.224169i
$22$	−7.85504e6	−	687227.i	−1.52418	−	0.133348i
$23$	3.92441e6	−	8.41593e6i	0.609727	−	1.30756i	−0.322801	−	0.946467i	$-0.604625\pi$
$23$	3.92441e6	−	8.41593e6i	0.609727	−	1.30756i	0.932528	−	0.361097i	$-0.117598\pi$
$24$	−1.50343e6	+	4.13065e6i	−0.188811	+	0.518754i
$25$	−9.72756e6	−	861443.i	−0.996102	−	0.0882117i
$26$	863998.	−	1.49649e6i	0.0727187	−	0.125953i
$27$	2.30958e6	−	8.61947e6i	0.160959	−	0.600706i
$28$	−1.34933e7	−	1.92704e7i	−0.784022	−	1.11970i
$29$	7.69610e6	+	1.35703e6i	0.375215	+	0.0661606i	0.358076	−	0.933693i	$-0.383433\pi$
$29$	7.69610e6	+	1.35703e6i	0.375215	+	0.0661606i	0.0171395	+	0.999853i	$0.494544\pi$
$30$	9.31130e6	−	1.01507e7i	0.383181	−	0.417724i
$31$	7.29797e6	−	1.26405e7i	0.254914	−	0.441524i	−0.709958	−	0.704244i	$-0.751286\pi$
$31$	7.29797e6	−	1.26405e7i	0.254914	−	0.441524i	0.964872	+	0.262720i	$0.0846195\pi$
$32$	−260002.	−	2.97184e6i	−0.00774867	−	0.0885677i
$33$	−1.03439e7	+	4.82342e6i	−0.264309	+	0.123249i
$34$	−3.11138e7	−	8.54844e7i	−0.684791	−	1.88145i
$35$	7.85332e6	+	3.55131e7i	0.149525	+	0.676159i
$36$	−1.84861e7	−	1.04840e8i	−0.305726	−	1.73386i
$37$	−5.42649e7	−	5.42649e7i	−0.782547	−	0.782547i	0.197713	−	0.980260i	$-0.436649\pi$
$37$	−5.42649e7	−	5.42649e7i	−0.782547	−	0.782547i	−0.980260	+	0.197713i	$0.936649\pi$
$38$	1.96501e7	+	1.35220e8i	0.247998	+	1.70657i
$39$		−	2.50118e6i		−	0.0277219i
$40$	5.18011e7	−	1.63989e8i	0.505870	−	1.60146i
$41$	−3.88354e6	+	3.25868e6i	−0.0335204	+	0.0281269i	−0.659394	−	0.751798i	$-0.729187\pi$
$41$	−3.88354e6	+	3.25868e6i	−0.0335204	+	0.0281269i	0.625874	+	0.779925i	$0.284743\pi$
$42$	−4.64952e7	−	2.16811e7i	−0.355764	−	0.165895i
$43$	−2.26421e8	+	1.05582e8i	−1.54019	+	0.718202i	−0.992923	−	0.118757i	$-0.962109\pi$
$43$	−2.26421e8	+	1.05582e8i	−1.54019	+	0.718202i	−0.547266	+	0.836959i	$0.684331\pi$
$44$	−1.85644e8	+	2.21242e8i	−1.12569	+	1.34154i
$45$	−3.57090e7	+	1.60670e8i	−0.193515	+	0.870707i
$46$	−2.56217e8	−	4.43781e8i	−1.24400	−	2.15466i
$47$	1.34707e8	−	9.43231e7i	0.587357	−	0.411272i	−0.241769	−	0.970334i	$-0.577728\pi$
$47$	1.34707e8	−	9.43231e7i	0.587357	−	0.411272i	0.829126	+	0.559062i	$0.188839\pi$
$48$	4.43088e7	+	6.32796e7i	0.173894	+	0.248346i
$49$	−1.27319e8	+	7.35074e7i	−0.450725	+	0.260226i
$50$	−3.46839e8	+	4.12457e8i	−1.10988	+	1.31986i
$51$	−1.00869e8	−	8.46391e7i	−0.292352	−	0.245313i
$52$	−2.67486e7	−	5.73625e7i	−0.0703532	−	0.150873i
$53$	4.58970e7	−	9.84264e7i	0.109750	−	0.235360i	−0.843760	−	0.536720i	$-0.819663\pi$
$53$	4.58970e7	−	9.84264e7i	0.109750	−	0.235360i	0.953510	+	0.301361i	$0.0974408\pi$
$54$	−3.16531e8	−	3.77227e8i	−0.689362	−	0.821550i
$55$	3.96179e8	−	2.05971e8i	0.787186	−	0.409253i
$56$	−6.40507e8			−1.16301
$57$	1.22494e8	+	1.55281e8i	0.203583	+	0.258074i
$58$	3.04941e8	−	3.04941e8i	0.464596	−	0.464596i
$59$	6.67414e8	−	1.17683e8i	0.933544	−	0.164609i	0.313868	−	0.949467i	$-0.398375\pi$
$59$	6.67414e8	−	1.17683e8i	0.933544	−	0.164609i	0.619676	+	0.784858i	$0.287264\pi$
$60$	−1.08939e8	−	4.92627e8i	−0.140096	−	0.633522i
$61$	1.24793e9	−	4.54210e8i	1.47755	−	0.537784i	0.527411	−	0.849611i	$-0.323163\pi$
$61$	1.24793e9	−	4.54210e8i	1.47755	−	0.537784i	0.950139	+	0.311826i	$0.100941\pi$
$62$	−3.40402e8	−	7.29995e8i	−0.371564	−	0.796822i
$63$	6.10667e8	−	5.34265e7i	0.615321	−	0.0538336i
$64$	−1.00023e9	−	5.77482e8i	−0.931536	−	0.537822i
$65$	4.21654e6	+	9.77637e7i	0.00363404	+	0.0842579i
$66$	−1.09368e8	+	6.20254e8i	−0.0873311	+	0.495279i
$67$	−3.59654e8	+	2.51833e8i	−0.266386	+	0.186525i	−0.699136	−	0.714988i	$-0.746432\pi$
$67$	−3.59654e8	+	2.51833e8i	−0.266386	+	0.186525i	0.432751	+	0.901514i	$0.357543\pi$
$68$	−3.21850e9	−	8.62395e8i	−2.21365	−	0.593146i
$69$	−6.42349e8	−	3.70861e8i	−0.410701	−	0.237118i
$70$	1.85391e9	+	7.69065e8i	1.10306	+	0.457586i
$71$	−1.75265e8	−	6.37911e7i	−0.0971410	−	0.0353564i	0.292992	−	0.956115i	$-0.405349\pi$
$71$	−1.75265e8	−	6.37911e7i	−0.0971410	−	0.0353564i	−0.390133	+	0.920758i	$0.627571\pi$
$72$	−2.62693e9	−	1.22496e9i	−1.35764	−	0.633079i
$73$	−1.18255e7	+	1.35166e8i	−0.00570435	+	0.0652010i	−0.998513	−	0.0545086i	$-0.982641\pi$
$73$	−1.18255e7	+	1.35166e8i	−0.00570435	+	0.0652010i	0.992809	+	0.119710i	$0.0381963\pi$
$74$	−4.17059e9	+	7.35388e8i	−1.87949	+	0.331404i
$75$	−1.36266e8	+	7.68041e8i	−0.0574224	+	0.323652i
$76$	4.46992e9	+	2.25124e9i	1.76292	+	0.887878i
$77$	−1.17594e9	−	1.17594e9i	−0.434440	−	0.434440i
$78$	−1.13063e8	−	7.91678e7i	−0.0391605	−	0.0274205i
$79$	2.07558e8	+	2.47358e8i	0.0674534	+	0.0803878i	0.798716	−	0.601708i	$-0.205513\pi$
$79$	2.07558e8	+	2.47358e8i	0.0674534	+	0.0803878i	−0.731263	+	0.682096i	$0.761069\pi$
$80$	−1.83858e9	−	2.39871e9i	−0.561089	−	0.732028i
$81$	2.25270e9	+	8.19915e8i	0.646068	+	0.235149i
$82$	2.43827e7	+	2.78696e8i	0.00657677	+	0.0751728i
$83$	1.44320e9	+	5.38610e9i	0.366384	+	1.36736i	0.865535	+	0.500848i	$0.166979\pi$
$83$	1.44320e9	+	5.38610e9i	0.366384	+	1.36736i	−0.499151	+	0.866515i	$0.666355\pi$
$84$	−1.62732e9	+	9.39532e8i	−0.389113	+	0.224655i
$85$	4.08535e9	+	3.13824e9i	0.920735	+	0.707280i
$86$	−2.39399e9	+	1.35770e10i	−0.508898	+	2.88610i
$87$	1.61558e8	−	6.02944e8i	0.0324140	−	0.120971i
$88$	2.03520e9	+	7.59546e9i	0.385650	+	1.43926i
$89$	5.11255e9	−	6.09289e9i	0.915561	−	1.09112i	−0.0799806	−	0.996796i	$-0.525486\pi$
$89$	5.11255e9	−	6.09289e9i	0.915561	−	1.09112i	0.995541	−	0.0943264i	$-0.0300697\pi$
$90$	6.13265e9	+	6.69974e9i	1.03857	+	1.13461i
$91$	3.42471e8	−	1.24649e8i	0.0548803	−	0.0199748i
$92$	−1.86978e10	−	1.63585e9i	−2.83695	−	0.248201i
$93$	−9.55017e8	−	6.68710e8i	−0.137277	−	0.0961221i
$94$		−	9.07483e9i		−	1.23652i
$95$	−5.04970e9	−	5.86296e9i	−0.652600	−	0.757702i
$96$	−2.38284e8			−0.0292240
$97$	−5.01554e9	+	7.16294e9i	−0.584063	+	0.834128i	−0.997062	−	0.0766036i	$-0.975592\pi$
$97$	−5.01554e9	+	7.16294e9i	−0.584063	+	0.834128i	0.412999	+	0.910731i	$0.364481\pi$
$98$	−7.07081e8	+	8.08197e9i	−0.0782237	+	0.894101i
$99$	−2.57394e9	−	7.07184e9i	−0.270659	−	0.743629i
$100$	5.08857e9	+	1.90716e10i	0.508857	+	1.90716i
$101$	−6.02776e8	−	5.05789e8i	−0.0573521	−	0.0481241i	0.613661	−	0.789570i	$-0.289696\pi$
$101$	−6.02776e8	−	5.05789e8i	−0.0573521	−	0.0481241i	−0.671013	+	0.741445i	$0.734141\pi$
$102$	−7.01874e9	+	1.88067e9i	−0.635709	+	0.170338i
$103$	−2.13149e10	−	5.71132e9i	−1.83864	−	0.492663i	−0.839899	−	0.542743i	$-0.817386\pi$
$103$	−2.13149e10	−	5.71132e9i	−1.83864	−	0.492663i	−0.998745	+	0.0500797i	$0.984052\pi$
$104$	−1.69707e9	−	2.99240e8i	−0.139487	−	0.0245953i
$105$	2.88051e9	−	3.77673e8i	0.225695	−	0.0295917i
$106$	−2.99652e9	−	5.19013e9i	−0.223918	−	0.387837i
$107$	−9.01850e9	+	2.41650e9i	−0.643007	+	0.172293i	−0.565565	−	0.824704i	$-0.691342\pi$
$107$	−9.01850e9	+	2.41650e9i	−0.643007	+	0.172293i	−0.0774418	+	0.996997i	$0.524675\pi$
$108$	−1.79681e10	+	1.57201e9i	−1.22288	+	0.106988i
$109$	6.47216e9	−	1.77821e10i	0.420646	−	1.15571i	−0.530692	−	0.847565i	$-0.678068\pi$
$109$	6.47216e9	−	1.77821e10i	0.420646	−	1.15571i	0.951338	−	0.308150i	$-0.0997099\pi$
$110$	3.22921e9	−	2.44282e10i	0.200509	−	1.51680i
$111$	−4.69572e9	+	3.94018e9i	−0.278668	+	0.233830i
$112$	−6.45628e9	+	9.22052e9i	−0.366347	+	0.523197i
$113$	4.54719e9	−	4.54719e9i	0.246803	−	0.246803i	−0.572854	−	0.819657i	$-0.694164\pi$
$113$	4.54719e9	−	4.54719e9i	0.246803	−	0.246803i	0.819657	+	0.572854i	$0.194164\pi$
$114$	1.08965e10	−	6.22241e8i	0.565930	−	0.0323172i
$115$	2.57327e10	+	1.34129e10i	1.27937	+	0.666860i
$116$	−2.74290e9	−	1.55558e10i	−0.130593	−	0.740630i
$117$	1.64297e9	+	1.43741e8i	0.0749377	+	0.00655620i
$118$	1.58053e10	−	3.38946e10i	0.690866	−	1.48157i
$119$	6.56216e9	−	1.80294e10i	0.274987	−	0.755521i
$120$	−1.26883e10	−	5.26353e9i	−0.509913	−	0.211529i
$121$	2.76039e9	−	4.78113e9i	0.106425	−	0.184333i
$122$	1.89676e10	−	7.07882e10i	0.701802	−	2.61916i
$123$	2.32263e8	+	3.31706e8i	0.00825000	+	0.0117822i
$124$	−2.90539e10	−	5.12299e9i	−0.991052	−	0.174749i
$125$	4.03145e9	−	3.02501e10i	0.132103	−	0.991236i
$126$	1.69138e10	−	2.92956e10i	0.532586	−	0.922465i
$127$	−2.40623e9	−	2.75033e10i	−0.0728314	−	0.832467i	−0.941487	−	0.337050i	$-0.890571\pi$
$127$	−2.40623e9	−	2.75033e10i	−0.0728314	−	0.832467i	0.868655	−	0.495417i	$-0.164985\pi$
$128$	−5.49953e10	+	2.56447e10i	−1.60057	+	0.746360i
$129$	6.82506e9	+	1.87517e10i	0.191055	+	0.524919i
$130$	4.55277e9	+	2.90383e9i	0.122619	+	0.0782085i
$131$	8.76536e9	+	4.97108e10i	0.227203	+	1.28853i	0.858429	+	0.512932i	$0.171441\pi$
$131$	8.76536e9	+	4.97108e10i	0.227203	+	1.28853i	−0.631227	+	0.775598i	$0.717448\pi$
$132$	1.63122e10	+	1.63122e10i	0.407045	+	0.407045i
$133$	−1.51570e10	+	2.45109e10i	−0.364212	+	0.588980i
$134$			2.42288e10i			0.560801i
$135$	2.65910e10	+	8.39959e9i	0.593014	+	0.187322i
$136$	−6.94962e10	+	5.83142e10i	−1.49371	+	1.25337i
$137$	−4.69827e10	−	2.19084e10i	−0.973498	−	0.453950i	−0.130254	−	0.991481i	$-0.541579\pi$
$137$	−4.69827e10	−	2.19084e10i	−0.973498	−	0.453950i	−0.843244	+	0.537531i	$0.819357\pi$
$138$	−3.70961e10	+	1.72982e10i	−0.741195	+	0.345625i
$139$	−1.91314e10	+	2.27999e10i	−0.368700	+	0.439399i	−0.918214	−	0.396085i	$-0.870368\pi$
$139$	−1.91314e10	+	2.27999e10i	−0.368700	+	0.439399i	0.549514	+	0.835484i	$0.314813\pi$
$140$	6.20230e10	−	3.94668e10i	1.15322	−	0.733824i
$141$	−6.56767e9	−	1.13755e10i	−0.117846	−	0.204116i
$142$	−8.43111e9	+	5.90353e9i	−0.146030	+	0.102252i
$143$	−2.56634e9	−	3.66512e9i	−0.0429175	−	0.0612926i
$144$	−4.41133e10	+	2.54688e10i	−0.712454	+	0.411336i
$145$	−5.29838e9	+	2.38396e10i	−0.0826614	+	0.371928i
$146$	5.73575e9	+	4.81286e9i	0.0864621	+	0.0725503i
$147$	4.96276e9	+	1.06427e10i	0.0722998	+	0.155047i
$148$	−6.55547e10	+	1.40582e11i	−0.923198	+	1.97981i
$149$	−2.74456e10	−	3.27083e10i	−0.373715	−	0.445376i	0.546105	−	0.837717i	$-0.316110\pi$
$149$	−2.74456e10	−	3.27083e10i	−0.373715	−	0.445376i	−0.919820	+	0.392340i	$0.871666\pi$
$150$	3.04054e10	+	3.04699e10i	0.400400	+	0.401250i
$151$	6.21994e10			0.792321			0.396161	−	0.918181i	$-0.370342\pi$
$151$	6.21994e10			0.792321			0.396161	+	0.918181i	$0.370342\pi$
$152$	1.20014e11	−	6.45355e10i	1.47916	−	0.795391i
$153$	6.13943e10	−	6.13943e10i	0.732270	−	0.732270i
$154$	−9.03778e10	+	1.59360e10i	−1.04342	+	0.183983i
$155$	3.84561e10	+	2.45279e10i	0.429840	+	0.274158i
$156$	−4.75064e9	+	1.72909e9i	−0.0514197	+	0.0187152i
$157$	−6.37765e10	−	1.36769e11i	−0.668594	−	1.43380i	−0.888775	−	0.458344i	$-0.848443\pi$
$157$	−6.37765e10	−	1.36769e11i	−0.668594	−	1.43380i	0.220181	−	0.975459i	$-0.429335\pi$
$158$	1.77512e10	−	1.55303e9i	0.180278	−	0.0157723i
$159$	−7.51243e9	−	4.33731e9i	−0.0739256	−	0.0426810i
$160$	9.31381e9	−	4.01704e8i	0.0888234	−	0.00383095i
$161$	1.87673e10	−	1.06435e11i	0.173490	−	0.983908i
$162$	1.08366e11	−	7.58788e10i	0.971222	−	0.680057i
$163$	1.94919e11	+	5.22284e10i	1.69401	+	0.453909i	0.971420	−	0.237367i	$-0.0762845\pi$
$163$	1.94919e11	+	5.22284e10i	1.69401	+	0.453909i	0.722591	+	0.691276i	$0.242951\pi$
$164$	8.87413e9	+	5.12348e9i	0.0748008	+	0.0431863i
$165$	−1.36314e10	−	3.29585e10i	−0.111460	−	0.269493i
$166$	2.89153e11	+	1.05243e11i	2.29397	+	0.834937i
$167$	1.04252e11	+	4.86136e10i	0.802606	+	0.374261i	0.780234	−	0.625488i	$-0.215100\pi$
$167$	1.04252e11	+	4.86136e10i	0.802606	+	0.374261i	0.0223727	+	0.999750i	$0.492878\pi$
$168$	−4.45897e9	+	5.09662e10i	−0.0333187	+	0.380834i
$169$	−1.34798e11	+	2.37686e10i	−0.977803	+	0.172413i
$170$	2.71171e11	−	8.53418e10i	1.90985	−	0.601059i
$171$	−1.09040e11	+	7.15396e10i	−0.745771	+	0.489290i
$172$	3.57064e11	+	3.57064e11i	2.37194	+	2.37194i
$173$	8.52256e10	+	5.96756e10i	0.549971	+	0.385094i	0.815278	−	0.579070i	$-0.196584\pi$
$173$	8.52256e10	+	5.96756e10i	0.549971	+	0.385094i	−0.265307	+	0.964164i	$0.585473\pi$
$174$	−2.21418e10	−	2.63875e10i	−0.138825	−	0.165445i
$175$	−1.11954e11	+	1.96181e10i	−0.682101	+	0.119527i
$176$	1.29856e11	+	4.72638e10i	0.768952	+	0.279876i
$177$	−4.71796e9	−	5.39265e10i	−0.0271574	−	0.310410i
$178$	−1.13600e11	−	4.23960e11i	−0.635737	−	2.37260i
$179$	1.75936e11	−	1.01577e11i	0.957391	−	0.552750i	0.0620221	−	0.998075i	$-0.480245\pi$
$179$	1.75936e11	−	1.01577e11i	0.957391	−	0.552750i	0.895369	+	0.445325i	$0.146912\pi$
$180$	3.29856e11	−	4.32485e10i	1.74567	−	0.228880i
$181$	−4.03495e10	+	2.28833e11i	−0.207704	+	1.17795i	0.685424	+	0.728144i	$0.259617\pi$
$181$	−4.03495e10	+	2.28833e11i	−0.207704	+	1.17795i	−0.893128	+	0.449803i	$0.851494\pi$
$182$	5.20530e9	−	1.94264e10i	0.0260668	−	0.0972828i
$183$	−2.74547e10	−	1.02462e11i	−0.133771	−	0.499238i
$184$	−3.28482e11	+	3.91470e11i	−1.55748	+	1.85613i
$185$	1.76899e11	−	1.61926e11i	0.816333	−	0.747236i
$186$	−6.04567e10	+	2.20044e10i	−0.271569	+	0.0988429i
$187$	−2.34653e11	−	2.05295e10i	−1.02617	−	0.0897779i
$188$	−2.72278e11	−	1.90651e11i	−1.15937	−	0.811802i
$189$		−	1.03859e11i		−	0.430660i
$190$	−4.24862e11	+	4.26910e10i	−1.71585	+	0.172413i
$191$	2.43609e11			0.958355			0.479178	−	0.877718i	$-0.340935\pi$
$191$	2.43609e11			0.958355			0.479178	+	0.877718i	$0.340935\pi$
$192$	−5.29144e10	+	7.55697e10i	−0.202800	+	0.289629i
$193$	1.43237e8	−	1.63721e9i	0.000534897	−	0.00611390i	−0.995923	−	0.0902123i	$-0.971245\pi$
$193$	1.43237e8	−	1.63721e9i	0.000534897	−	0.00611390i	0.996457	+	0.0840984i	$0.0268010\pi$
$194$	1.65040e11	+	4.53445e11i	0.600595	+	1.65012i
$195$	7.80858e9	+	3.45077e8i	0.0276948	+	0.00122389i
$196$	2.27633e11	+	1.91007e11i	0.786966	+	0.660342i
$197$	3.38403e11	−	9.06747e10i	1.14052	−	0.305601i	0.361359	−	0.932427i	$-0.382313\pi$
$197$	3.38403e11	−	9.06747e10i	1.14052	−	0.305601i	0.779160	+	0.626826i	$0.215646\pi$
$198$	−4.01146e11	−	1.07487e11i	−1.31818	−	0.353206i
$199$	2.45036e11	+	4.32064e10i	0.785170	+	0.138447i	0.551839	−	0.833951i	$-0.313926\pi$
$199$	2.45036e11	+	4.32064e10i	0.785170	+	0.138447i	0.233331	+	0.972397i	$0.425037\pi$
$200$	5.04819e11	+	1.84345e11i	1.57756	+	0.576080i
$201$	1.75350e10	+	3.03715e10i	0.0534472	+	0.0925732i
$202$	−4.19428e10	+	1.12385e10i	−0.124710	+	0.0334159i
$203$	9.06086e10	−	7.92723e9i	0.262839	−	0.0229954i
$204$	−9.10282e10	+	2.50098e11i	−0.257647	+	0.707880i
$205$	−9.63765e9	−	1.25738e10i	−0.0266196	−	0.0347295i
$206$	−9.32837e11	+	7.82743e11i	−2.51460	+	2.11000i
$207$	2.80525e11	−	4.00631e11i	0.738108	−	1.05413i
$208$	−2.14142e10	+	2.14142e10i	−0.0550027	+	0.0550027i
$209$	3.38823e11	+	1.01856e11i	0.849653	+	0.255421i
$210$	7.41020e10	−	1.42165e11i	0.181440	−	0.348093i
$211$	4.89152e10	+	2.77412e11i	0.116958	+	0.663304i	0.985762	+	0.168147i	$0.0537783\pi$
$211$	4.89152e10	+	2.77412e11i	0.116958	+	0.663304i	−0.868804	+	0.495157i	$0.835111\pi$
$212$	−2.18676e11	−	1.91317e10i	−0.510648	−	0.0446759i
$213$	−6.29609e9	+	1.35020e10i	−0.0143606	+	0.0307964i
$214$	−1.76220e11	+	4.84159e11i	−0.392632	+	1.07875i
$215$	−2.98383e11	−	7.21442e11i	−0.649504	−	1.57039i
$216$	−2.45541e11	+	4.25290e11i	−0.522223	+	0.904517i
$217$	4.39678e10	−	1.64090e11i	0.0913768	−	0.341023i
$218$	−5.98964e11	−	8.55409e11i	−1.21652	−	1.73737i
$219$	1.06731e10	+	1.88195e9i	0.0211870	+	0.00373584i
$220$	−6.65094e11	−	6.10095e11i	−1.29053	−	1.18382i
$221$	2.58101e10	−	4.47045e10i	0.0489586	−	0.0847988i
$222$	2.94820e10	+	3.36980e11i	0.0546753	+	0.624942i
$223$	3.05364e11	−	1.42393e11i	0.553724	−	0.258206i	−0.125554	−	0.992087i	$-0.540071\pi$
$223$	3.05364e11	−	1.42393e11i	0.553724	−	0.258206i	0.679278	+	0.733881i	$0.262293\pi$
$224$	−1.18751e10	−	3.26267e10i	−0.0210571	−	0.0578539i
$225$	−4.96677e11	−	1.33649e11i	−0.861314	−	0.231767i
$226$	−6.16226e10	−	3.49479e11i	−0.104520	−	0.592760i
$227$	3.51557e11	+	3.51557e11i	0.583266	+	0.583266i	0.935799	−	0.352533i	$-0.114680\pi$
$227$	3.51557e11	+	3.51557e11i	0.583266	+	0.583266i	−0.352533	+	0.935799i	$0.614680\pi$
$228$	2.10253e11	−	3.40007e11i	0.341246	−	0.551841i
$229$		−	7.73140e10i		−	0.122767i	−0.998114	−	0.0613834i	$-0.980449\pi$
$229$		−	7.73140e10i		−	0.122767i	0.998114	−	0.0613834i	$-0.0195512\pi$
$230$	1.42081e12	−	7.38671e11i	2.20748	−	1.14766i
$231$	−1.01758e11	+	8.53847e10i	−0.154706	+	0.129814i
$232$	−3.89774e11	−	1.81754e11i	−0.579926	−	0.270424i
$233$	−5.21054e10	+	2.42971e10i	−0.0758758	+	0.0353814i	−0.460186	−	0.887823i	$-0.652217\pi$
$233$	−5.21054e10	+	2.42971e10i	−0.0758758	+	0.0353814i	0.384310	+	0.923204i	$0.374439\pi$
$234$	5.85012e10	−	6.97190e10i	0.0833845	−	0.0993738i
$235$	2.75887e11	+	4.33563e11i	0.384940	+	0.604941i
$236$	−6.84912e11	−	1.18630e12i	−0.935566	−	1.62045i
$237$	2.11276e10	−	1.47937e10i	0.0282559	−	0.0197850i
$238$	−6.07293e11	−	8.67305e11i	−0.795268	−	1.13576i
$239$	−8.73083e11	+	5.04075e11i	−1.11961	+	0.646406i	−0.941301	−	0.337569i	$-0.890395\pi$
$239$	−8.73083e11	+	5.04075e11i	−1.11961	+	0.646406i	−0.178307	+	0.983975i	$0.557062\pi$
$240$	−2.03669e11	+	1.29600e11i	−0.255781	+	0.162760i
$241$	7.03692e11	+	5.90468e11i	0.865561	+	0.726292i	0.963158	−	0.268934i	$-0.0866715\pi$
$241$	7.03692e11	+	5.90468e11i	0.865561	+	0.726292i	−0.0975980	+	0.995226i	$0.531116\pi$
$242$	−1.28754e11	−	2.76113e11i	−0.155126	−	0.332668i
$243$	3.03613e11	−	6.51100e11i	0.358335	−	0.768451i
$244$	−1.72542e12	−	2.05627e12i	−1.99501	−	2.37756i
$245$	−2.11921e11	−	4.07624e11i	−0.240073	−	0.461774i
$246$	2.23460e10			0.0248042
$247$	−5.16108e10	+	5.78622e10i	−0.0561379	+	0.0629376i
$248$	−5.67983e11	+	5.67983e11i	−0.605448	+	0.605448i
$249$	4.38628e11	−	7.73420e10i	0.458247	−	0.0808013i
$250$	−1.23982e12	−	1.13972e12i	−1.26958	−	1.16707i
$251$	−4.82693e11	+	1.75686e11i	−0.484509	+	0.176347i	−0.572714	−	0.819755i	$-0.694109\pi$
$251$	−4.82693e11	+	1.75686e11i	−0.484509	+	0.176347i	0.0882044	+	0.996102i	$0.471887\pi$
$252$	−5.23636e11	−	1.12294e12i	−0.515261	−	1.10498i
$253$	−1.32179e12	+	1.15642e11i	−1.27515	+	0.111561i
$254$	−1.31942e12	−	7.61769e11i	−1.24800	−	0.720534i
$255$	2.78156e11	−	3.03231e11i	0.257981	−	0.281237i
$256$	−3.76105e11	+	2.13300e12i	−0.342066	+	1.93995i
$257$	−1.04294e11	+	7.30276e10i	−0.0930240	+	0.0651361i	−0.619163	−	0.785262i	$-0.712528\pi$
$257$	−1.04294e11	+	7.30276e10i	−0.0930240	+	0.0651361i	0.526139	+	0.850399i	$0.323639\pi$
$258$	1.06368e12	+	2.85012e11i	0.930490	+	0.249324i
$259$	−7.73519e11	−	4.46592e11i	−0.663701	−	0.383188i
$260$	1.82773e11	−	7.55937e10i	0.153832	−	0.0636237i
$261$	3.86775e11	+	1.40775e11i	0.319342	+	0.116231i
$262$	2.52457e12	+	1.17723e12i	2.04494	+	0.953572i
$263$	−9.59038e10	+	1.09619e12i	−0.0762179	+	0.871175i	0.857808	+	0.513970i	$0.171826\pi$
$263$	−9.59038e10	+	1.09619e12i	−0.0762179	+	0.871175i	−0.934026	+	0.357205i	$0.883730\pi$
$264$	6.18551e11	−	1.09067e11i	0.482343	−	0.0850501i
$265$	3.00950e11	+	1.56868e11i	0.230285	+	0.120034i
$266$	6.28238e11	+	1.46098e12i	0.471755	+	1.09707i
$267$	−4.49230e11	−	4.49230e11i	−0.331065	−	0.331065i
$268$	7.26953e11	+	5.09018e11i	0.525814	+	0.368179i
$269$	4.69979e11	+	5.60100e11i	0.333670	+	0.397653i	0.906627	−	0.421933i	$-0.138648\pi$
$269$	4.69979e11	+	5.60100e11i	0.333670	+	0.397653i	−0.572957	+	0.819586i	$0.694204\pi$
$270$	1.22136e12	−	9.36151e11i	0.851183	−	0.652420i
$271$	1.41622e12	+	5.15462e11i	0.968913	+	0.352655i	0.777520	−	0.628858i	$-0.216477\pi$
$271$	1.41622e12	+	5.15462e11i	0.968913	+	0.352655i	0.191393	+	0.981514i	$0.438700\pi$
$272$	1.38954e11	+	1.58825e12i	0.0933309	+	1.06678i
$273$	−7.53439e9	−	2.81187e10i	−0.00496861	−	0.0185431i
$274$	−2.47745e12	+	1.43036e12i	−1.60418	+	0.926171i
$275$	5.88372e11	+	1.26527e12i	0.374101	+	0.804487i
$276$	−2.60335e11	+	1.47643e12i	−0.162550	+	0.921866i
$277$	2.38570e11	−	8.90356e11i	0.146291	−	0.545965i	−0.853404	−	0.521251i	$-0.825466\pi$
$277$	2.38570e11	−	8.90356e11i	0.146291	−	0.545965i	0.999695	−	0.0247145i	$-0.00786766\pi$
$278$	4.25096e11	+	1.58648e12i	0.256014	+	0.955456i
$279$	4.94145e11	−	5.88899e11i	0.292303	−	0.348353i
$280$	8.83678e10	−	1.99963e12i	0.0513457	−	1.16188i
$281$	−2.50429e12	+	9.11488e11i	−1.42940	+	0.520259i	−0.936759	−	0.349975i	$-0.886190\pi$
$281$	−2.50429e12	+	9.11488e11i	−1.42940	+	0.520259i	−0.492640	+	0.870233i	$0.663968\pi$
$282$	−7.22100e11	−	6.31755e10i	−0.404904	−	0.0354245i
$283$	9.55666e11	+	6.69165e11i	0.526471	+	0.368639i	0.806389	−	0.591385i	$-0.201419\pi$
$283$	9.55666e11	+	6.69165e11i	0.526471	+	0.368639i	−0.279919	+	0.960024i	$0.590308\pi$
$284$			3.76990e11i			0.204051i
$285$	−5.01679e11	+	3.60997e11i	−0.266810	+	0.191990i
$286$	−2.46908e11			−0.129034
$287$	−3.38432e10	+	4.83331e10i	−0.0173805	+	0.0248219i
$288$	1.36940e10	−	1.56523e11i	0.00691144	−	0.0789981i
$289$	−2.39948e11	−	6.59251e11i	−0.119022	−	0.327011i
$290$	9.09940e11	+	9.94083e11i	0.443632	+	0.484655i
$291$	5.35051e11	+	4.48961e11i	0.256407	+	0.215151i
$292$	2.64904e11	−	7.09809e10i	0.124789	−	0.0334370i
$293$	−2.72982e12	−	7.31453e11i	−1.26414	−	0.338726i	−0.436358	−	0.899773i	$-0.643732\pi$
$293$	−2.72982e12	−	7.31453e11i	−1.26414	−	0.338726i	−0.827784	+	0.561047i	$0.810399\pi$
$294$	6.38173e11	+	1.12527e11i	0.290537	+	0.0512296i
$295$	2.75321e11	+	2.09987e12i	0.123234	+	0.939901i
$296$	2.11165e12	+	3.65749e12i	0.929316	+	1.60962i
$297$	−1.23161e12	+	3.30009e11i	−0.532955	+	0.142805i
$298$	−2.34726e12	+	2.05358e11i	−0.998802	+	0.0873838i
$299$	9.94510e10	−	2.73239e11i	0.0416153	−	0.114337i
$300$	1.55299e12	−	2.72136e11i	0.639089	−	0.111990i
$301$	−2.22741e12	+	1.86902e12i	−0.901505	+	0.756453i
$302$	1.96874e12	−	2.81166e12i	0.783708	−	1.11925i
$303$	−4.44428e10	+	4.44428e10i	−0.0174016	+	0.0174016i
$304$	2.80708e11	−	2.37820e12i	0.108115	−	0.915968i
$305$	1.24585e12	+	3.95865e12i	0.472028	+	1.49985i
$306$	−8.32004e11	−	4.71853e12i	−0.310112	−	1.75873i
$307$	4.59608e12	+	4.02105e11i	1.68537	+	0.147451i	0.889168	−	0.457580i	$-0.151284\pi$
$307$	4.59608e12	+	4.02105e11i	1.68537	+	0.147451i	0.796202	+	0.605031i	$0.206839\pi$
$308$	−1.42059e12	+	3.04646e12i	−0.512524	+	1.09911i
$309$	−6.02845e11	+	1.65630e12i	−0.214000	+	0.587960i
$310$	2.32597e12	−	9.62006e11i	0.812449	−	0.336023i
$311$	2.97658e11	−	5.15559e11i	0.102309	−	0.177205i	−0.810326	−	0.585979i	$-0.800710\pi$
$311$	2.97658e11	−	5.15559e11i	0.102309	−	0.177205i	0.912636	+	0.408774i	$0.134043\pi$
$312$	−3.56254e10	+	1.32956e11i	−0.0120500	+	0.0449712i
$313$	−5.36295e10	−	7.65908e10i	−0.0178518	−	0.0254950i	0.810127	−	0.586254i	$-0.199398\pi$
$313$	−5.36295e10	−	7.65908e10i	−0.0178518	−	0.0254950i	−0.827979	+	0.560759i	$0.810509\pi$
$314$	−8.20116e12	−	1.44609e12i	−2.68675	−	0.473746i
$315$	8.25440e10	+	1.91385e12i	0.0266154	+	0.617098i
$316$	3.26334e11	−	5.65228e11i	0.103568	−	0.179386i
$317$	5.31872e11	+	6.07933e12i	0.166154	+	1.89915i	0.384260	+	0.923225i	$0.374457\pi$
$317$	5.31872e11	+	6.07933e12i	0.166154	+	1.89915i	−0.218106	+	0.975925i	$0.569988\pi$
$318$	−4.33848e11	+	2.02307e11i	−0.133414	+	0.0622120i
$319$	−3.81912e11	−	1.04929e12i	−0.115614	−	0.317646i
$320$	1.94087e12	−	3.04299e12i	0.578424	−	0.906883i
$321$	1.29502e11	+	7.34440e11i	0.0379971	+	0.215492i
$322$	−4.21725e12	−	4.21725e12i	−1.21829	−	1.21829i
$323$	5.87006e11	+	4.03942e12i	0.166967	+	1.14896i
$324$		−	4.84550e12i		−	1.35710i
$325$	−3.05795e11	−	3.24166e8i	−0.0843362	−	8.94026e-5i
$326$	8.53053e12	−	7.15797e12i	2.31680	−	1.94402i
$327$	−1.36990e12	−	6.38793e11i	−0.366394	−	0.170852i
$328$	2.52853e11	−	1.17907e11i	0.0666037	−	0.0310578i
$329$	1.23027e12	−	1.46618e12i	0.319169	−	0.380371i
$330$	−1.92132e12	−	4.27014e11i	−0.490941	−	0.109112i
$331$	3.24374e12	+	5.61832e12i	0.816406	+	1.41406i	0.908314	+	0.418289i	$0.137370\pi$
$331$	3.24374e12	+	5.61832e12i	0.816406	+	1.41406i	−0.0919077	+	0.995768i	$0.529296\pi$
$332$	9.23243e12	−	6.46462e12i	2.28889	−	1.60270i
$333$	−2.31835e12	−	3.31095e12i	−0.566185	−	0.808596i
$334$	5.49733e12	−	3.17388e12i	1.32257	−	0.763587i
$335$	−7.36590e11	−	1.15757e12i	−0.174583	−	0.274361i
$336$	6.88746e11	+	5.77927e11i	0.160828	+	0.134951i
$337$	−3.22755e12	−	6.92149e12i	−0.742545	−	1.59239i	−0.804245	−	0.594299i	$-0.797430\pi$
$337$	−3.22755e12	−	6.92149e12i	−0.742545	−	1.59239i	0.0616993	−	0.998095i	$-0.480348\pi$
$338$	−3.19223e12	+	6.84575e12i	−0.723619	+	1.55181i
$339$	−3.30172e11	−	3.93483e11i	−0.0737465	−	0.0878877i
$340$	3.13640e12	−	9.92904e12i	0.690298	−	2.18531i
$341$	−2.08557e12			−0.452327
$342$	−2.17479e11	+	7.19342e12i	−0.0464821	+	1.53746i
$343$	−3.53463e12	+	3.53463e12i	−0.744516	+	0.744516i
$344$	1.35397e13	−	2.38742e12i	2.81072	−	0.495606i
$345$	1.24643e12	−	1.95422e12i	0.255019	−	0.399832i
$346$	5.39515e12	−	1.96367e12i	1.08798	−	0.395994i
$347$	1.65250e12	+	3.54379e12i	0.328468	+	0.704403i	0.999308	−	0.0371999i	$-0.0118438\pi$
$347$	1.65250e12	+	3.54379e12i	0.328468	+	0.704403i	−0.670839	+	0.741603i	$0.734066\pi$
$348$	−1.25689e12	+	1.09964e11i	−0.246265	+	0.0215454i
$349$	5.62471e12	+	3.24743e12i	1.08636	+	0.627209i	0.932604	−	0.360901i	$-0.117531\pi$
$349$	5.62471e12	+	3.24743e12i	1.08636	+	0.627209i	0.153753	+	0.988109i	$0.450864\pi$
$350$	−2.65676e12	+	5.68171e12i	−0.505839	+	1.08178i
$351$	4.85220e10	−	2.75182e11i	0.00910758	−	0.0516516i
$352$	−3.49171e11	+	2.44492e11i	−0.0646137	+	0.0452430i
$353$	−6.01676e12	−	1.61219e12i	−1.09771	−	0.294132i	−0.335881	−	0.941905i	$-0.609034\pi$
$353$	−6.01676e12	−	1.61219e12i	−1.09771	−	0.294132i	−0.761833	+	0.647773i	$0.775701\pi$
$354$	−2.58702e12	−	1.49362e12i	−0.465355	−	0.268673i
$355$	2.23333e11	−	5.38367e11i	0.0396106	−	0.0954854i
$356$	−1.51069e13	−	5.49848e12i	−2.64196	−	0.961596i
$357$	−1.38895e12	−	6.47676e11i	−0.239521	−	0.111691i
$358$	9.77084e11	−	1.11681e13i	0.166156	−	1.89917i
$359$	9.93784e11	−	1.75231e11i	0.166655	−	0.0293859i	−0.0896977	−	0.995969i	$-0.528590\pi$
$359$	9.93784e11	−	1.75231e11i	0.166655	−	0.0293859i	0.256353	+	0.966583i	$0.417479\pi$
$360$	4.18668e12	−	8.03214e12i	0.692400	−	1.32837i
$361$	3.70382e11	−	6.11987e12i	0.0604107	−	0.998174i
$362$	9.06701e12	+	9.06701e12i	1.45855	+	1.45855i
$363$	−3.61226e11	−	2.52933e11i	−0.0573120	−	0.0401303i
$364$	−4.73507e11	−	5.64303e11i	−0.0741001	−	0.0883091i
$365$	−4.20351e11	−	5.55670e10i	−0.0648856	−	0.00857734i
$366$	−5.50069e12	−	2.00209e12i	−0.837552	−	0.304844i
$367$	3.25122e10	+	3.71616e11i	0.00488333	+	0.0558167i	0.998245	−	0.0592132i	$-0.0188592\pi$
$367$	3.25122e10	+	3.71616e11i	0.00488333	+	0.0558167i	−0.993362	+	0.115030i	$0.963304\pi$
$368$	2.32438e12	+	8.67471e12i	0.344404	+	1.28533i
$369$	−2.31238e11	+	1.33505e11i	−0.0338008	+	0.0195149i
$370$	−1.72045e12	−	1.31218e13i	−0.248104	−	1.89228i
$371$	2.19489e11	−	1.24478e12i	0.0312279	−	0.177102i
$372$	−6.09907e11	+	2.27621e12i	−0.0856149	+	0.319519i
$373$	2.43508e12	+	9.08784e12i	0.337263	+	1.25868i	0.901395	+	0.432998i	$0.142544\pi$
$373$	2.43508e12	+	9.08784e12i	0.337263	+	1.25868i	−0.564132	+	0.825685i	$0.690789\pi$
$374$	−8.35527e12	+	9.95743e12i	−1.14183	+	1.36078i
$375$	−2.37899e12	−	5.31379e11i	−0.320801	−	0.0716553i
$376$	−8.50414e12	+	3.09526e12i	−1.13160	+	0.411867i
$377$	2.43778e11	+	2.13278e10i	0.0320101	+	0.00280052i
$378$	−4.69483e12	−	3.28735e12i	−0.608360	−	0.425978i
$379$			1.41858e13i			1.81409i	0.421032	+	0.907046i	$0.361668\pi$
$379$			1.41858e13i			1.81409i	−0.421032	+	0.907046i	$0.638332\pi$
$380$	−7.64495e12	+	1.36443e13i	−0.964843	+	1.72200i
$381$	−2.20524e12			−0.274682
$382$	7.71075e12	−	1.10121e13i	0.947937	−	1.35379i
$383$	−1.25920e12	+	1.43927e13i	−0.152792	+	1.74642i	0.403087	+	0.915162i	$0.367937\pi$
$383$	−1.25920e12	+	1.43927e13i	−0.152792	+	1.74642i	−0.555879	+	0.831263i	$0.687618\pi$
$384$	1.65774e12	+	4.55460e12i	0.198545	+	0.545499i
$385$	3.83345e12	−	3.50898e12i	0.453197	−	0.414836i
$386$	−6.94746e10	−	5.82961e10i	−0.00810755	−	0.00680304i
$387$	−1.27098e13	+	3.40558e12i	−1.46414	+	0.392316i
$388$	1.70723e13	+	4.57450e12i	1.94148	+	0.520218i
$389$	1.29494e13	+	2.28333e12i	1.45379	+	0.256343i	0.844054	−	0.536259i	$-0.180163\pi$
$389$	1.29494e13	+	2.28333e12i	1.45379	+	0.256343i	0.609740	+	0.792602i	$0.291274\pi$
$390$	2.62757e11	−	3.42056e11i	0.0291227	−	0.0379118i
$391$	−7.65395e12	−	1.32570e13i	−0.837532	−	1.45065i
$392$	7.81489e12	−	2.09399e12i	0.844291	−	0.226227i
$393$	4.01660e12	−	3.51407e11i	0.428445	−	0.0374841i
$394$	6.61231e12	−	1.81672e13i	0.696422	−	1.91340i
$395$	−8.00876e11	+	6.13859e11i	−0.0832875	+	0.0638386i
$396$	−1.16526e13	+	9.77766e12i	−1.19659	+	1.00406i
$397$	3.01104e12	−	4.30022e12i	0.305327	−	0.436052i	−0.636941	−	0.770913i	$-0.719800\pi$
$397$	3.01104e12	−	4.30022e12i	0.305327	−	0.436052i	0.942268	+	0.334861i	$0.108689\pi$
$398$	9.70900e12	−	9.70900e12i	0.972208	−	0.972208i
$399$	1.84485e12	+	1.37670e12i	0.182431	+	0.136137i
$400$	7.74232e12	−	5.40901e12i	0.756086	−	0.528224i
$401$	3.19778e11	+	1.81355e12i	0.0308409	+	0.174908i	0.996337	−	0.0855084i	$-0.0272514\pi$
$401$	3.19778e11	+	1.81355e12i	0.0308409	+	0.174908i	−0.965497	+	0.260416i	$0.916140\pi$
$402$	1.92793e12	+	1.68672e11i	0.183637	+	0.0160662i
$403$	1.93158e11	−	4.14228e11i	0.0181713	−	0.0389685i
$404$	−5.43970e11	+	1.49455e12i	−0.0505438	+	0.138868i
$405$	−2.87053e12	+	6.91970e12i	−0.263443	+	0.635056i
$406$	2.50961e12	−	4.34678e12i	0.227498	−	0.394037i
$407$	−2.83807e12	+	1.05918e13i	−0.254127	+	0.948415i
$408$	4.15635e12	+	5.93589e12i	0.367631	+	0.525031i
$409$	−7.90407e12	−	1.39370e12i	−0.690612	−	0.121774i	−0.182682	−	0.983172i	$-0.558478\pi$
$409$	−7.90407e12	−	1.39370e12i	−0.690612	−	0.121774i	−0.507930	+	0.861398i	$0.669589\pi$
$410$	−8.73438e11	+	3.76713e10i	−0.0753899	+	0.00325156i
$411$	−2.07036e12	+	3.58597e12i	−0.176538	+	0.305772i
$412$	3.88738e12	+	4.44330e13i	0.327470	+	3.74299i
$413$	7.14867e12	−	3.33348e12i	0.594943	−	0.277426i
$414$	−9.23090e12	−	2.53617e13i	−0.759001	−	2.08534i
$415$	−1.70143e13	+	3.76251e12i	−1.38221	+	0.305659i
$416$	−1.62212e10	−	9.19948e10i	−0.00130201	−	0.00738409i
$417$	1.68104e12	+	1.68104e12i	0.133321	+	0.133321i
$418$	1.53288e13	−	1.20922e13i	1.20123	−	0.947596i
$419$			6.89766e12i			0.534111i	0.963681	+	0.267056i	$0.0860508\pi$
$419$			6.89766e12i			0.534111i	−0.963681	+	0.267056i	$0.913949\pi$
$420$	−2.70866e12	−	5.21003e12i	−0.207257	−	0.398652i
$421$	1.34984e13	−	1.13265e13i	1.02064	−	0.856419i	0.0309327	−	0.999521i	$-0.490152\pi$
$421$	1.34984e13	−	1.13265e13i	1.02064	−	0.856419i	0.989708	+	0.143102i	$0.0457078\pi$
$422$	1.40884e13	+	6.56952e12i	1.05269	+	0.490875i
$423$	7.84977e12	−	3.66041e12i	0.579635	−	0.270288i
$424$	−3.84168e12	+	4.57834e12i	−0.280344	+	0.334101i
$425$	−1.03611e13	+	1.23213e13i	−0.747240	+	0.888611i
$426$	4.11060e11	+	7.11976e11i	0.0292993	+	0.0507478i
$427$	1.26612e13	−	8.86549e12i	0.891942	−	0.624545i
$428$	1.08244e13	+	1.54588e13i	0.753675	+	1.07636i
$429$	−3.09505e11	+	1.78693e11i	−0.0213001	+	0.0122976i
$430$	−4.20565e13	−	9.34708e12i	−2.86082	−	0.635820i
$431$	2.27223e12	+	1.90662e12i	0.152780	+	0.128197i	0.715973	−	0.698128i	$-0.245983\pi$
$431$	2.27223e12	+	1.90662e12i	0.152780	+	0.128197i	−0.563194	+	0.826325i	$0.690428\pi$
$432$	3.64729e12	+	7.82163e12i	0.242410	+	0.519851i
$433$	3.28861e12	−	7.05245e12i	0.216059	−	0.463341i	−0.768168	−	0.640248i	$-0.778831\pi$
$433$	3.28861e12	−	7.05245e12i	0.216059	−	0.463341i	0.984228	+	0.176907i	$0.0566093\pi$
$434$	−6.02584e12	−	7.18132e12i	−0.391354	−	0.466397i
$435$	1.86007e12	+	5.87563e11i	0.119422	+	0.0377232i
$436$	−3.82489e13			−2.42765
$437$	7.20753e12	+	2.18341e13i	0.452251	+	1.37002i
$438$	4.22898e11	−	4.22898e11i	0.0262340	−	0.0262340i
$439$	−7.69651e11	+	1.35710e11i	−0.0472032	+	0.00832319i	−0.197200	−	0.980363i	$-0.563185\pi$
$439$	−7.69651e11	+	1.35710e11i	−0.0472032	+	0.00832319i	0.149997	+	0.988686i	$0.452074\pi$
$440$	−2.39934e13	+	5.30588e12i	−1.45489	+	0.321732i
$441$	−7.27614e12	+	2.64830e12i	−0.436222	+	0.158772i
$442$	−1.20387e12	−	2.58171e12i	−0.0713623	−	0.153037i
$443$	2.55859e13	−	2.23847e12i	1.49962	−	0.131200i	0.692428	−	0.721487i	$-0.256541\pi$
$443$	2.55859e13	−	2.23847e12i	1.49962	−	0.131200i	0.807193	+	0.590287i	$0.200985\pi$
$444$	1.07300e13	+	6.19498e12i	0.621850	+	0.359025i
$445$	1.83164e13	+	1.68017e13i	1.04964	+	0.962840i
$446$	3.22867e12	−	1.83107e13i	0.182957	−	1.03760i
$447$	−2.79372e12	+	1.95619e12i	−0.156547	+	0.109616i
$448$	−1.29843e13	−	3.47913e12i	−0.719496	−	0.192788i
$449$	−1.05480e13	−	6.08988e12i	−0.578014	−	0.333716i	0.182330	−	0.983237i	$-0.441636\pi$
$449$	−1.05480e13	−	6.08988e12i	−0.578014	−	0.333716i	−0.760344	+	0.649521i	$0.774969\pi$
$450$	−2.17624e13	+	1.82215e13i	−1.17935	+	0.987465i
$451$	6.80694e11	+	2.47752e11i	0.0364812	+	0.0132781i
$452$	−1.17803e13	−	5.49323e12i	−0.624400	−	0.291162i
$453$	4.33008e11	−	4.94931e12i	0.0226989	−	0.259450i
$454$	2.70193e13	−	4.76423e12i	1.40086	−	0.247010i
$455$	3.41900e11	+	1.08637e12i	0.0175324	+	0.0557086i
$456$	−4.29970e12	−	9.99902e12i	−0.218079	−	0.507146i
$457$	−2.47486e12	−	2.47486e12i	−0.124156	−	0.124156i	0.642298	−	0.766455i	$-0.277981\pi$
$457$	−2.47486e12	−	2.47486e12i	−0.124156	−	0.124156i	−0.766455	+	0.642298i	$0.777981\pi$
$458$	−3.49490e12	−	2.44715e12i	−0.173423	−	0.121432i
$459$	−9.45570e12	−	1.12689e13i	−0.464120	−	0.553117i
$460$	7.68670e12	−	5.81481e13i	0.373208	−	2.82323i
$461$	−9.53838e12	−	3.47168e12i	−0.458110	−	0.166738i	0.102649	−	0.994718i	$-0.467268\pi$
$461$	−9.53838e12	−	3.47168e12i	−0.458110	−	0.166738i	−0.560759	+	0.827979i	$0.689490\pi$
$462$	6.38882e11	+	7.30245e12i	0.0303536	+	0.346944i
$463$	2.64431e12	+	9.86870e12i	0.124282	+	0.463826i	0.999813	−	0.0193357i	$-0.00615511\pi$
$463$	2.64431e12	+	9.86870e12i	0.124282	+	0.463826i	−0.875531	+	0.483161i	$0.839488\pi$
$464$	−6.54537e12	+	3.77897e12i	−0.304330	+	0.175705i
$465$	2.21944e12	−	2.88926e12i	0.102089	−	0.132899i
$466$	−5.50921e11	+	3.12443e12i	−0.0250703	+	0.142181i
$467$	7.75036e12	−	2.89248e13i	0.348930	−	1.30222i	−0.539024	−	0.842290i	$-0.681207\pi$
$467$	7.75036e12	−	2.89248e13i	0.348930	−	1.30222i	0.887954	−	0.459933i	$-0.152126\pi$
$468$	−8.62785e11	−	3.21996e12i	−0.0384303	−	0.143424i
$469$	−3.28469e12	+	3.91454e12i	−0.144754	+	0.172511i
$470$	2.83312e13	+	1.25201e12i	1.23531	+	0.0545908i
$471$	−1.13269e13	+	4.12267e12i	−0.488661	+	0.177858i
$472$	−3.71540e13	−	3.25055e12i	−1.58597	−	0.138755i
$473$	2.92413e13	+	2.04750e13i	1.23507	+	0.864805i
$474$		−	1.42331e12i		−	0.0594848i
$475$	1.90006e13	−	1.49560e13i	0.785775	−	0.618512i
$476$	−3.87808e13			−1.58702
$477$	3.28081e12	−	4.68548e12i	0.132858	−	0.189742i
$478$	−4.84878e12	+	5.54218e13i	−0.194309	+	2.22096i
$479$	8.97214e12	+	2.46507e13i	0.355810	+	0.977580i	0.980467	+	0.196681i	$0.0630164\pi$
$479$	8.97214e12	+	2.46507e13i	0.355810	+	0.977580i	−0.624657	+	0.780899i	$0.714761\pi$
$480$	3.28750e10	−	7.43912e11i	0.00129021	−	0.0291955i
$481$	−1.84085e12	−	1.54466e12i	−0.0714980	−	0.0599940i
$482$	4.89648e13	−	1.31201e13i	1.88213	−	0.504315i
$483$	−8.33855e12	−	2.23431e12i	−0.317216	−	0.0849977i
$484$	−1.09894e13	−	1.93772e12i	−0.413757	−	0.0729566i
$485$	−2.16704e13	−	1.66465e13i	−0.807529	−	0.620319i
$486$	−1.98223e13	−	3.43332e13i	−0.731093	−	1.26629i
$487$	6.87014e12	−	1.84085e12i	0.250796	−	0.0672006i	−0.131231	−	0.991352i	$-0.541893\pi$
$487$	6.87014e12	−	1.84085e12i	0.250796	−	0.0672006i	0.382027	+	0.924151i	$0.375226\pi$
$488$	−7.28061e13	+	6.36971e12i	−2.63068	+	0.230155i
$489$	5.51285e12	−	1.51464e13i	0.197166	−	0.541709i
$490$	−2.51340e13	−	3.32250e12i	−0.889776	−	0.117621i
$491$	−2.81296e13	+	2.36036e13i	−0.985727	+	0.827123i	−0.984944	−	0.172876i	$-0.944694\pi$
$491$	−2.81296e13	+	2.36036e13i	−0.985727	+	0.827123i	−0.000783665		1.00000i	$0.500249\pi$
$492$	4.69462e11	−	6.70462e11i	0.0162845	−	0.0232567i
$493$	9.10947e12	−	9.10947e12i	0.312794	−	0.312794i
$494$	9.82008e11	+	4.16448e12i	0.0333795	+	0.141555i
$495$	2.24331e13	−	7.06004e12i	0.754853	−	0.237564i
$496$	2.45125e12	+	1.39017e13i	0.0816543	+	0.463084i
$497$	−2.16251e12	−	1.89196e11i	−0.0713144	−	0.00623920i
$498$	1.03874e13	−	2.22758e13i	0.339124	−	0.727253i
$499$	−1.78460e12	+	4.90315e12i	−0.0576817	+	0.158479i	−0.965187	−	0.261562i	$-0.915762\pi$
$499$	−1.78460e12	+	4.90315e12i	−0.0576817	+	0.158479i	0.907505	+	0.420042i	$0.137985\pi$
$500$	−6.02428e13	+	1.32550e13i	−1.92777	+	0.424161i
$501$	4.59403e12	−	7.95709e12i	0.145548	−	0.252096i
$502$	−7.33657e12	+	2.73805e13i	−0.230131	+	0.858859i
$503$	−8.41623e12	−	1.20196e13i	−0.261383	−	0.373294i	0.666913	−	0.745136i	$-0.267615\pi$
$503$	−8.41623e12	−	1.20196e13i	−0.261383	−	0.373294i	−0.928296	+	0.371842i	$0.878726\pi$
$504$	−3.32223e13	−	5.85799e12i	−1.02159	−	0.180134i
$505$	1.66221e12	−	1.81206e12i	0.0506092	−	0.0551715i
$506$	−3.66101e13	+	6.34105e13i	−1.10369	+	1.91165i
$507$	9.52892e11	+	1.08916e13i	0.0284449	+	0.325126i
$508$	−5.05753e13	+	2.35836e13i	−1.49493	+	0.697095i
$509$	−2.88540e12	−	7.92756e12i	−0.0844533	−	0.232033i	0.890277	−	0.455420i	$-0.150511\pi$
$509$	−2.88540e12	−	7.92756e12i	−0.0844533	−	0.232033i	−0.974730	+	0.223387i	$0.928289\pi$
$510$	−4.90301e12	−	2.21716e13i	−0.142106	−	0.642609i
$511$	2.74221e11	+	1.55518e12i	0.00787039	+	0.0446352i
$512$	4.05780e13	+	4.05780e13i	1.15329	+	1.15329i
$513$	1.04645e13	+	1.94604e13i	0.294531	+	0.547729i
$514$			7.02599e12i			0.195836i
$515$	2.07712e13	−	6.57562e13i	0.573357	−	1.81510i
$516$	3.08980e13	−	2.59265e13i	0.844659	−	0.708753i
$517$	−2.12958e13	−	9.93041e12i	−0.576557	−	0.268853i
$518$	−4.46712e13	+	2.08305e13i	−1.19779	+	0.558537i
$519$	5.34180e12	−	6.36611e12i	0.141857	−	0.169059i
$520$	1.16835e12	−	5.25690e12i	0.0307295	−	0.138265i
$521$	−2.51505e13	−	4.35619e13i	−0.655175	−	1.13480i	−0.981850	−	0.189660i	$-0.939261\pi$
$521$	−2.51505e13	−	4.35619e13i	−0.655175	−	1.13480i	0.326674	−	0.945137i	$-0.394072\pi$
$522$	1.86058e13	−	1.30280e13i	0.480062	−	0.336143i
$523$	−3.45395e12	−	4.93276e12i	−0.0882690	−	0.126061i	0.772589	−	0.634907i	$-0.218961\pi$
$523$	−3.45395e12	−	4.93276e12i	−0.0882690	−	0.126061i	−0.860858	+	0.508845i	$0.830073\pi$
$524$	8.83591e13	−	5.10142e13i	2.23663	−	1.29132i
$525$	7.81667e11	+	9.04492e12i	0.0195986	+	0.226782i
$526$	4.65164e13	+	3.90319e13i	1.15525	+	0.969372i
$527$	−1.01688e13	−	2.18071e13i	−0.250159	−	0.536468i
$528$	4.66487e12	−	1.00038e13i	0.113676	−	0.243780i
$529$	−2.87984e13	−	3.43206e13i	−0.695168	−	0.828469i
$530$	1.66168e13	−	8.63894e12i	0.397344	−	0.206577i
$531$	3.56942e13			0.845522
$532$	5.70331e13	+	1.18439e13i	1.33835	+	0.277931i
$533$	−1.12251e11	+	1.12251e11i	−0.00260948	+	0.00260948i
$534$	−3.45261e13	+	6.08788e12i	−0.795135	+	0.140204i
$535$	−6.29996e12	−	2.84887e13i	−0.143737	−	0.649986i
$536$	2.27052e13	−	8.26400e12i	0.513216	−	0.186795i
$537$	−6.85783e12	−	1.47067e13i	−0.153573	−	0.329339i
$538$	4.01946e13	−	3.51657e12i	0.891776	−	0.0780203i
$539$	1.81921e13	+	1.05032e13i	0.399890	+	0.230876i
$540$	−2.42875e12	−	5.63125e13i	−0.0528949	−	1.22641i
$541$	−4.82583e12	+	2.73686e13i	−0.104132	+	0.590563i	0.887431	+	0.460940i	$0.152488\pi$
$541$	−4.82583e12	+	2.73686e13i	−0.104132	+	0.590563i	−0.991563	+	0.129623i	$0.958623\pi$
$542$	6.81274e13	−	4.77033e13i	1.45655	−	1.01989i
$543$	1.79277e13	+	4.80372e12i	0.379775	+	0.101760i
$544$	−4.25893e12	−	2.45890e12i	−0.0893935	−	0.0516114i
$545$	5.46220e13	+	2.26591e13i	1.13602	+	0.471259i
$546$	−1.50956e12	−	5.49434e11i	−0.0311090	−	0.0113228i
$547$	−7.38188e13	−	3.44223e13i	−1.50741	−	0.702915i	−0.519004	−	0.854772i	$-0.673697\pi$
$547$	−7.38188e13	−	3.44223e13i	−1.50741	−	0.702915i	−0.988402	+	0.151857i	$0.951475\pi$
$548$	−9.13228e12	+	1.04382e14i	−0.184789	+	2.11215i
$549$	6.88828e13	−	1.21459e13i	1.38118	−	0.243539i
$550$	7.58183e13	+	1.34517e13i	1.50647	+	0.267278i
$551$	−1.61790e13	+	1.06148e13i	−0.318561	+	0.209003i
$552$	2.88631e13	+	2.88631e13i	0.563181	+	0.563181i
$553$	3.07852e12	+	2.15561e12i	0.0595274	+	0.0416815i
$554$	−3.26963e13	−	3.89660e13i	−0.626542	−	0.746684i
$555$	−1.16532e13	−	1.52034e13i	−0.221300	−	0.288720i
$556$	5.65309e13	+	2.05756e13i	1.06393	+	0.387238i
$557$	−3.29550e12	−	3.76677e13i	−0.0614674	−	0.702576i	−0.962936	−	0.269731i	$-0.913065\pi$
$557$	−3.29550e12	−	3.76677e13i	−0.0614674	−	0.702576i	0.901468	−	0.432845i	$-0.142490\pi$
$558$	−1.09798e13	−	4.09772e13i	−0.202966	−	0.757480i
$559$	−6.77489e12	+	3.91149e12i	−0.124120	+	0.0716610i
$560$	−2.78953e13	−	2.14283e13i	−0.506513	−	0.389088i
$561$	−3.26713e12	+	1.85288e13i	−0.0587965	+	0.333452i
$562$	−3.80634e13	+	1.42054e14i	−0.678931	+	2.53381i
$563$	−8.55063e12	−	3.19114e13i	−0.151167	−	0.564162i	−0.999403	−	0.0345442i	$-0.989002\pi$
$563$	−8.55063e12	−	3.19114e13i	−0.151167	−	0.564162i	0.848236	−	0.529618i	$-0.177665\pi$
$564$	−1.70659e13	+	2.03384e13i	−0.299043	+	0.356386i
$565$	1.35688e13	+	1.48235e13i	0.235667	+	0.257459i
$566$	6.04978e13	−	2.20194e13i	1.04150	−	0.379073i
$567$	2.77951e13	+	2.43175e12i	0.474299	+	0.0414958i
$568$	8.40797e12	+	5.88732e12i	0.142216	+	0.0995809i
$569$			2.39746e13i			0.401966i	0.979595	+	0.200983i	$0.0644137\pi$
$569$			2.39746e13i			0.401966i	−0.979595	+	0.200983i	$0.935586\pi$
$570$	4.39267e11	+	3.41042e13i	0.00730053	+	0.566805i
$571$	9.96841e13			1.64227			0.821136	−	0.570732i	$-0.193341\pi$
$571$	9.96841e13			1.64227			0.821136	+	0.570732i	$0.193341\pi$
$572$	−5.18723e12	+	7.40814e12i	−0.0847141	+	0.120984i
$573$	1.69591e12	−	1.93844e13i	0.0274556	−	0.313819i
$574$	1.11364e12	+	3.05969e12i	0.0178725	+	0.0491042i
$575$	−4.54248e13	+	7.84858e13i	−0.722693	+	1.24868i
$576$	−4.65990e13	−	3.91012e13i	−0.734961	−	0.616706i
$577$	−1.59023e13	+	4.26100e12i	−0.248645	+	0.0666242i	−0.380989	−	0.924580i	$-0.624416\pi$
$577$	−1.59023e13	+	4.26100e12i	−0.248645	+	0.0666242i	0.132344	+	0.991204i	$0.457750\pi$
$578$	−3.73956e13	−	1.00201e13i	−0.579671	−	0.155322i
$579$	−1.29278e11	−	2.27953e10i	−0.00198670	−	0.000350310i
$580$	4.89428e13	−	6.41705e12i	0.745674	−	0.0977678i
$581$	3.24494e13	+	5.62040e13i	0.490147	+	0.848959i
$582$	3.72303e13	−	9.97583e12i	0.557547	−	0.149394i
$583$	−1.54587e13	+	1.35246e12i	−0.229525	+	0.0200808i
$584$	2.55384e12	−	7.01662e12i	0.0375950	−	0.103291i
$585$	−6.75426e11	+	5.10944e12i	−0.00985822	+	0.0745752i
$586$	−1.19469e14	+	1.00247e14i	−1.72889	+	1.45071i
$587$	5.74767e13	−	8.20852e13i	0.824710	−	1.17781i	−0.157033	−	0.987593i	$-0.550193\pi$
$587$	5.74767e13	−	8.20852e13i	0.824710	−	1.17781i	0.981743	−	0.190214i	$-0.0609182\pi$
$588$	1.67835e13	−	1.67835e13i	0.238778	−	0.238778i
$589$	8.29477e12	+	3.51763e13i	0.117011	+	0.496219i
$590$	1.03637e14	+	5.40198e13i	1.44962	+	0.755602i
$591$	−4.85931e12	−	2.75585e13i	−0.0673964	−	0.382224i
$592$	7.39372e13	+	6.46867e12i	1.01684	+	0.0889624i
$593$	−4.59376e13	+	9.85134e13i	−0.626462	+	1.34345i	0.295192	+	0.955438i	$0.404616\pi$
$593$	−4.59376e13	+	9.85134e13i	−0.626462	+	1.34345i	−0.921654	+	0.388013i	$0.873161\pi$
$594$	−2.40654e13	+	6.61191e13i	−0.325432	+	0.894118i
$595$	5.53816e13	+	2.29742e13i	0.742644	+	0.308074i
$596$	−4.31515e13	+	7.47405e13i	−0.573805	+	0.993859i
$597$	5.14385e12	−	1.91971e13i	0.0678292	−	0.253142i
$598$	−9.20366e12	−	1.31442e13i	−0.120352	−	0.171881i
$599$	−1.11301e14	−	1.96253e13i	−1.44332	−	0.254497i	−0.603502	−	0.797362i	$-0.706228\pi$
$599$	−1.11301e14	−	1.96253e13i	−1.44332	−	0.254497i	−0.839820	+	0.542865i	$0.817339\pi$
$600$	1.81830e13	−	3.88860e13i	0.233835	−	0.500077i
$601$	4.36354e13	−	7.55787e13i	0.556501	−	0.963889i	−0.441284	−	0.897368i	$-0.645477\pi$
$601$	4.36354e13	−	7.55787e13i	0.556501	−	0.963889i	0.997785	−	0.0665210i	$-0.0211899\pi$
$602$	1.39847e13	+	1.59846e14i	0.176877	+	2.02172i
$603$	−2.09580e13	+	9.77289e12i	−0.262884	+	0.122585i
$604$	−4.29990e13	−	1.18139e14i	−0.534902	−	1.46963i
$605$	1.45456e13	+	9.27743e12i	0.179455	+	0.114459i
$606$	6.02280e11	+	3.41570e12i	0.00736945	+	0.0417943i
$607$	6.15295e13	+	6.15295e13i	0.746689	+	0.746689i	0.973856	−	0.227167i	$-0.0729462\pi$
$607$	6.15295e13	+	6.15295e13i	0.746689	+	0.746689i	−0.227167	+	0.973856i	$0.572946\pi$
$608$	5.51245e12	+	4.91689e12i	0.0663479	+	0.0591797i
$609$		−	7.26507e12i		−	0.0867267i
$610$	2.18381e14	+	6.89824e13i	2.58562	+	0.816750i
$611$	3.94468e12	−	3.30998e12i	0.0463240	−	0.0388704i
$612$	−1.59052e14	−	7.41673e13i	−1.85261	−	0.863884i
$613$	−4.58507e13	+	2.13805e13i	−0.529717	+	0.247011i	−0.669027	−	0.743238i	$-0.733289\pi$
$613$	−4.58507e13	+	2.13805e13i	−0.529717	+	0.247011i	0.139311	+	0.990249i	$0.455511\pi$
$614$	1.63652e14	−	1.95033e14i	1.87534	−	2.23495i
$615$	−1.06761e12	+	6.79350e11i	−0.0121350	+	0.00772179i
$616$	4.57600e13	+	7.92587e13i	0.515921	+	0.893601i
$617$	−2.17407e13	+	1.52230e13i	−0.243136	+	0.170245i	−0.688793	−	0.724958i	$-0.741859\pi$
$617$	−2.17407e13	+	1.52230e13i	−0.243136	+	0.170245i	0.445657	+	0.895204i	$0.352970\pi$
$618$	5.57901e13	+	7.96766e13i	0.618892	+	0.883870i
$619$	−1.04484e14	+	6.03236e13i	−1.14973	+	0.663795i	−0.948821	−	0.315816i	$-0.897722\pi$
$619$	−1.04484e14	+	6.03236e13i	−1.14973	+	0.663795i	−0.200906	+	0.979611i	$0.564389\pi$
$620$	2.00022e13	−	8.99982e13i	0.218333	−	0.982371i
$621$	−6.34771e13	−	5.32636e13i	−0.687320	−	0.576730i
$622$	−1.38838e13	−	2.97739e13i	−0.149127	−	0.319804i
$623$	3.91223e13	−	8.38980e13i	0.416854	−	0.893946i
$624$	1.55488e12	+	1.85304e12i	0.0164352	+	0.0195867i
$625$	9.38833e13	+	1.67595e13i	0.984437	+	0.175736i
$626$	−5.15970e12			−0.0536726
$627$	1.04636e13	−	2.62516e13i	0.107980	−	0.270906i
$628$	−2.15684e14	+	2.15684e14i	−2.20811	+	2.20811i
$629$	−1.24588e14	+	2.19682e13i	−1.26538	+	0.223121i
$630$	8.91260e13	+	5.68460e13i	0.898053	+	0.572792i
$631$	1.20064e13	−	4.36997e12i	0.120023	−	0.0436849i	−0.281310	−	0.959617i	$-0.590769\pi$
$631$	1.20064e13	−	4.36997e12i	0.120023	−	0.0436849i	0.401334	+	0.915932i	$0.368547\pi$
$632$	−7.50997e12	−	1.61052e13i	−0.0744822	−	0.159728i
$633$	2.24146e13	−	1.96103e12i	0.220553	−	0.0192959i
$634$	2.91645e14	+	1.68381e14i	2.84713	+	1.64379i
$635$	8.61961e13	−	3.71763e12i	0.834871	−	0.0360079i
$636$	−3.04468e12	+	1.72672e13i	−0.0292587	+	0.165935i
$637$	−3.77100e12	+	2.64048e12i	−0.0359550	+	0.0251760i
$638$	−5.95205e13	−	1.59485e13i	−0.563071	−	0.150875i
$639$	−8.50733e12	−	4.91171e12i	−0.0798526	−	0.0461029i
$640$	−7.24742e13	−	1.75231e14i	−0.674968	−	1.63196i
$641$	7.43614e13	+	2.70653e13i	0.687159	+	0.250105i	0.661918	−	0.749576i	$-0.269743\pi$
$641$	7.43614e13	+	2.70653e13i	0.687159	+	0.250105i	0.0252406	+	0.999681i	$0.491965\pi$
$642$	3.72986e13	+	1.73926e13i	0.341993	+	0.159474i
$643$	2.00366e12	−	2.29020e13i	0.0182293	−	0.208362i	−0.981618	−	0.190859i	$-0.938873\pi$
$643$	2.00366e12	−	2.29020e13i	0.0182293	−	0.208362i	0.999847	−	0.0175031i	$-0.00557171\pi$
$644$	−2.15132e14	+	3.79336e13i	−1.94212	+	0.342448i
$645$	−5.94835e13	+	1.87204e13i	−0.532842	+	0.167694i
$646$	2.01178e14	+	1.01321e14i	1.78821	+	0.900614i
$647$	−6.39617e13	−	6.39617e13i	−0.564155	−	0.564155i	0.366330	−	0.930485i	$-0.380614\pi$
$647$	−6.39617e13	−	6.39617e13i	−0.564155	−	0.564155i	−0.930485	+	0.366330i	$0.880614\pi$
$648$	−1.08069e14	−	7.56705e13i	−0.945855	−	0.662295i
$649$	−6.22448e13	−	7.41805e13i	−0.540605	−	0.644268i
$650$	−9.69373e12	+	1.38129e13i	−0.0835457	+	0.119047i
$651$	−1.27508e13	−	4.64093e12i	−0.109052	−	0.0396917i
$652$	−3.55490e13	−	4.06327e14i	−0.301710	−	3.44856i
$653$	6.78811e12	+	2.53336e13i	0.0571720	+	0.213369i	0.988602	−	0.150551i	$-0.0481048\pi$
$653$	6.78811e12	+	2.53336e13i	0.0571720	+	0.213369i	−0.931430	+	0.363920i	$0.881438\pi$
$654$	−7.22361e13	+	4.17055e13i	−0.603761	+	0.348582i
$655$	−1.56404e14	+	2.05067e13i	−1.29730	+	0.170094i
$656$	8.51391e11	−	4.82848e12i	0.00700825	−	0.0397458i
$657$	−1.84959e12	+	6.90275e12i	−0.0151094	+	0.0563891i
$658$	−2.73364e13	−	1.02021e14i	−0.221621	−	0.827102i
$659$	−9.38767e13	+	1.11878e14i	−0.755319	+	0.900154i	−0.997542	−	0.0700662i	$-0.977679\pi$
$659$	−9.38767e13	+	1.11878e14i	−0.755319	+	0.900154i	0.242223	+	0.970221i	$0.422123\pi$
$660$	−5.31764e13	+	4.86754e13i	−0.424619	+	0.388678i
$661$	1.29393e14	−	4.70952e13i	1.02542	−	0.373224i	0.226087	−	0.974107i	$-0.427407\pi$
$661$	1.29393e14	−	4.70952e13i	1.02542	−	0.373224i	0.799337	+	0.600883i	$0.205184\pi$
$662$	3.56642e14	+	3.12021e13i	2.80506	+	0.245411i
$663$	−3.37753e12	−	2.36497e12i	−0.0263652	−	0.0184611i
$664$		−	3.06866e14i		−	2.37743i
$665$	−7.44307e13	−	5.07010e13i	−0.572326	−	0.389860i
$666$	−2.23049e14			−1.70227
$667$	4.16233e13	−	5.94442e13i	0.315288	−	0.450278i
$668$	2.02640e13	−	2.31619e14i	0.152351	−	1.74137i
$669$	−9.20466e12	−	2.52896e13i	−0.0686874	−	0.188717i
$670$	−7.56413e13	−	3.34274e12i	−0.560254	−	0.0247587i
$671$	−1.45362e14	−	1.21973e14i	−1.06866	−	0.896711i
$672$	−2.67883e12	+	7.17790e11i	−0.0195478	+	0.00523783i
$673$	−2.09981e14	−	5.62641e13i	−1.52091	−	0.407527i	−0.600869	−	0.799347i	$-0.705179\pi$
$673$	−2.09981e14	−	5.62641e13i	−1.52091	−	0.407527i	−0.920042	+	0.391820i	$0.871845\pi$
$674$	−4.15038e14	−	7.31823e13i	−2.98393	−	0.526147i
$675$	−2.98918e13	+	8.18568e13i	−0.213321	+	0.584166i
$676$	1.38333e14	+	2.39599e14i	0.979921	+	1.69727i
$677$	−6.10538e12	+	1.63593e12i	−0.0429308	+	0.0115033i	−0.280221	−	0.959936i	$-0.590408\pi$
$677$	−6.10538e12	+	1.63593e12i	−0.0429308	+	0.0115033i	0.237290	+	0.971439i	$0.423741\pi$
$678$	−2.82376e13	+	2.47047e12i	−0.197097	+	0.0172438i
$679$	−3.48085e13	+	9.56354e13i	−0.241177	+	0.662628i
$680$	−1.72466e14	−	2.25009e14i	−1.18620	−	1.54759i
$681$	3.04214e13	−	2.55266e13i	0.207703	−	0.174284i
$682$	−6.60127e13	+	9.42760e13i	−0.447410	+	0.638968i
$683$	2.99355e13	−	2.99355e13i	0.201411	−	0.201411i	−0.599193	−	0.800604i	$-0.704512\pi$
$683$	2.99355e13	−	2.99355e13i	0.201411	−	0.201411i	0.800604	+	0.599193i	$0.204512\pi$
$684$	2.11260e14	+	1.57650e14i	1.41103	+	1.05296i
$685$	7.48790e13	−	1.43655e14i	0.496486	−	0.952508i
$686$	4.79006e13	+	2.71658e14i	0.315298	+	1.78814i
$687$	−6.15200e12	−	5.38231e11i	−0.0402006	−	0.00351710i
$688$	1.02111e14	−	2.18978e14i	0.662417	−	1.42056i
$689$	1.16310e12	−	3.19560e12i	0.00749070	−	0.0205805i
$690$	−4.88862e13	−	1.18199e14i	−0.312565	−	0.755732i
$691$	1.53089e13	−	2.65157e13i	0.0971746	−	0.168311i	−0.813340	−	0.581789i	$-0.802353\pi$
$691$	1.53089e13	−	2.65157e13i	0.0971746	−	0.168311i	0.910514	+	0.413478i	$0.135686\pi$
$692$	5.44281e13	−	2.03128e14i	0.342999	−	1.28009i
$693$	−5.02393e13	−	7.17492e13i	−0.314324	−	0.448901i
$694$	2.12499e14	+	3.74692e13i	1.31995	+	0.232743i
$695$	−6.85408e13	−	6.28729e13i	−0.422693	−	0.387739i
$696$	−1.71760e13	+	2.97496e13i	−0.105166	+	0.182153i
$697$	7.28382e11	+	8.32544e12i	0.00442787	+	0.0506108i
$698$	3.24830e14	−	1.51471e14i	1.96056	−	0.914223i
$699$	1.57063e12	+	4.31526e12i	0.00941211	+	0.0258596i
$700$	1.14657e14	+	1.99078e14i	0.682195	+	1.18450i
$701$	−2.02651e13	−	1.14929e14i	−0.119718	−	0.678954i	−0.984306	−	0.176472i	$-0.943532\pi$
$701$	−2.02651e13	−	1.14929e14i	−0.119718	−	0.678954i	0.864588	−	0.502482i	$-0.167580\pi$
$702$	−1.09035e13	−	1.09035e13i	−0.0639557	−	0.0639557i
$703$	1.89935e14	+	5.74228e12i	1.10618	+	0.0334432i
$704$			1.65029e14i			0.954328i
$705$	3.64200e13	−	1.89345e13i	0.209119	−	0.108720i
$706$	−2.63321e14	+	2.20952e14i	−1.50128	+	1.25972i
$707$	−8.30012e12	−	3.87041e12i	−0.0469880	−	0.0219109i
$708$	−9.91641e13	+	4.62410e13i	−0.557427	+	0.259933i
$709$	−1.57941e14	+	1.88227e14i	−0.881586	+	1.05063i	0.116761	+	0.993160i	$0.462749\pi$
$709$	−1.57941e14	+	1.88227e14i	−0.881586	+	1.05063i	−0.998347	+	0.0574734i	$0.981696\pi$
$710$	−1.72673e13	−	2.71360e13i	−0.0957048	−	0.150402i
$711$	8.50347e12	+	1.47284e13i	0.0468002	+	0.0810604i
$712$	−3.58552e14	+	2.51061e14i	−1.95953	+	1.37208i
$713$	−7.77410e13	−	1.11026e14i	−0.421893	−	0.602526i
$714$	−7.32406e13	+	4.22855e13i	−0.394694	+	0.227877i
$715$	1.17964e13	−	7.50634e12i	0.0631276	−	0.0401697i
$716$	−3.14557e14	−	2.63944e14i	−1.67161	−	1.40264i
$717$	3.40320e13	+	7.29819e13i	0.179594	+	0.385140i
$718$	2.35343e13	−	5.04694e13i	0.123333	−	0.264488i
$719$	1.13333e14	+	1.35065e14i	0.589811	+	0.702909i	0.975570	−	0.219691i	$-0.0705048\pi$
$719$	1.13333e14	+	1.35065e14i	0.589811	+	0.702909i	−0.385759	+	0.922600i	$0.626060\pi$
$720$	−7.34264e13	−	1.41233e14i	−0.379481	−	0.729920i
$721$	−2.56830e14			−1.31817
$722$	−2.64919e14	−	2.10450e14i	−1.35029	−	1.07266i
$723$	5.18833e13	−	5.18833e13i	0.262625	−	0.262625i
$724$	4.62530e14	−	8.15565e13i	2.32513	−	0.409983i
$725$	−7.36952e13	−	1.98303e13i	−0.367916	−	0.0990010i
$726$	−2.28671e13	+	8.32296e12i	−0.113378	+	0.0412662i
$727$	−6.86329e12	−	1.47184e13i	−0.0337956	−	0.0724749i	0.888685	−	0.458518i	$-0.151619\pi$
$727$	−6.86329e12	−	1.47184e13i	−0.0337956	−	0.0724749i	−0.922481	+	0.386043i	$0.873842\pi$
$728$	−1.99802e13	+	1.74804e12i	−0.0977108	+	0.00854859i
$729$	7.28960e13	+	4.20866e13i	0.354051	+	0.204412i
$730$	−1.58169e13	+	1.72427e13i	−0.0762968	+	0.0831748i
$731$	−7.15155e13	+	4.05584e14i	−0.342620	+	1.94310i
$732$	−1.75633e14	+	1.22979e14i	−0.835699	+	0.585163i
$733$	−8.02465e13	−	2.15020e13i	−0.379233	−	0.101615i	0.0641665	−	0.997939i	$-0.479561\pi$
$733$	−8.02465e13	−	2.15020e13i	−0.379233	−	0.101615i	−0.443400	+	0.896324i	$0.646228\pi$
$734$	1.78276e13	+	1.02928e13i	0.0836782	+	0.0483116i
$735$	−3.39106e13	+	1.40252e13i	−0.158088	+	0.0653841i
$736$	−2.60311e13	−	9.47456e12i	−0.120532	−	0.0438702i
$737$	5.68576e13	+	2.65131e13i	0.261488	+	0.121934i
$738$	−1.28421e12	+	1.46786e13i	−0.00586616	+	0.0670506i
$739$	−4.28127e13	+	7.54904e12i	−0.194245	+	0.0342507i	−0.269924	−	0.962882i	$-0.586999\pi$
$739$	−4.28127e13	+	7.54904e12i	−0.194245	+	0.0342507i	0.0756789	+	0.997132i	$0.475888\pi$
$740$	−4.29847e14	−	2.24054e14i	−1.93712	−	1.00970i
$741$	4.24490e12	+	4.50957e12i	0.0190010	+	0.0201857i
$742$	−4.93218e13	−	4.93218e13i	−0.219290	−	0.219290i
$743$	−1.32346e14	−	9.26697e13i	−0.584476	−	0.409255i	0.243595	−	0.969877i	$-0.421673\pi$
$743$	−1.32346e14	−	9.26697e13i	−0.584476	−	0.409255i	−0.828072	+	0.560622i	$0.810562\pi$
$744$	4.12413e13	+	4.91494e13i	0.180912	+	0.215603i
$745$	1.05900e14	−	8.11711e13i	0.461441	−	0.353688i
$746$	4.87881e14	+	1.77574e14i	2.11164	+	0.768575i
$747$	2.55965e13	+	2.92569e14i	0.110047	+	1.25784i
$748$	1.23225e14	+	4.59882e14i	0.526248	+	1.96399i
$749$	−9.41082e13	+	5.43334e13i	−0.399226	+	0.230493i
$750$	−9.93205e13	+	9.07203e13i	−0.418536	+	0.382295i
$751$	3.35976e13	−	1.90541e14i	0.140640	−	0.797608i	−0.830125	−	0.557577i	$-0.811731\pi$
$751$	3.35976e13	−	1.90541e14i	0.140640	−	0.797608i	0.970765	−	0.240031i	$-0.0771576\pi$
$752$	−4.11631e13	+	1.53623e14i	−0.171166	+	0.638802i
$753$	1.06193e13	+	3.96317e13i	0.0438653	+	0.163707i
$754$	8.68019e12	−	1.03447e13i	0.0356183	−	0.0424482i
$755$	−8.58136e12	+	1.94184e14i	−0.0349801	+	0.791549i
$756$	−1.97265e14	+	7.17986e13i	−0.798806	+	0.290741i
$757$	3.56627e14	+	3.12008e13i	1.43461	+	0.125512i	0.777785	−	0.628530i	$-0.216343\pi$
$757$	3.56627e14	+	3.12008e13i	1.43461	+	0.125512i	0.656826	+	0.754042i	$0.271899\pi$
$758$	6.41256e14	+	4.49013e14i	2.56263	+	1.79437i
$759$			1.05982e14i			0.420750i
$760$	1.84919e14	+	3.83583e14i	0.729312	+	1.51283i
$761$	−1.42286e14			−0.557494			−0.278747	−	0.960365i	$-0.589919\pi$
$761$	−1.42286e14			−0.557494			−0.278747	+	0.960365i	$0.589919\pi$
$762$	−6.98005e13	+	9.96855e13i	−0.271696	+	0.388023i
$763$	1.91955e13	−	2.19406e14i	0.0742296	−	0.848448i
$764$	−1.68409e14	−	4.62701e14i	−0.646992	−	1.77760i
$765$	1.83200e14	+	2.00140e14i	0.699227	+	0.763885i
$766$	6.10752e14	+	5.12482e14i	2.31591	+	1.94328i
$767$	2.04983e13	−	5.49251e12i	0.0772221	−	0.0206916i
$768$	1.67108e14	+	4.47764e13i	0.625448	+	0.167588i
$769$	−4.37130e13	−	7.70778e12i	−0.162547	−	0.0286614i	0.0917824	−	0.995779i	$-0.470744\pi$
$769$	−4.37130e13	−	7.70778e12i	−0.162547	−	0.0286614i	−0.254329	+	0.967118i	$0.581855\pi$
$770$	−3.72826e13	−	2.84354e14i	−0.137738	−	1.05052i
$771$	5.08487e12	+	8.80726e12i	0.0186642	+	0.0323273i
$772$	−3.20867e12	+	8.59761e11i	−0.0117014	+	0.00313539i
$773$	−1.06322e14	+	9.30198e12i	−0.385235	+	0.0337037i	−0.278129	−	0.960544i	$-0.589714\pi$
$773$	−1.06322e14	+	9.30198e12i	−0.385235	+	0.0337037i	−0.107107	+	0.994248i	$0.534159\pi$
$774$	−2.48347e14	+	6.82327e14i	−0.894033	+	2.45633i
$775$	−8.18805e13	+	1.16674e14i	−0.292868	+	0.417317i
$776$	3.68637e14	−	3.09323e14i	1.31006	−	1.09927i
$777$	−4.09210e13	+	5.84412e13i	−0.144491	+	0.206355i
$778$	5.13093e14	−	5.13093e14i	1.80011	−	1.80011i
$779$	1.47145e12	−	1.24663e13i	0.00512929	−	0.0434561i
$780$	−4.74272e12	−	1.50698e13i	−0.0164269	−	0.0521958i
$781$	4.62776e12	+	2.62453e13i	0.0159263	+	0.0903228i
$782$	−8.41534e14	−	7.36247e13i	−2.87765	−	0.251762i
$783$	2.94716e13	−	6.32021e13i	0.100137	−	0.214745i
$784$	4.86292e13	−	1.33608e14i	0.164179	−	0.451078i
$785$	4.35786e14	−	1.80238e14i	1.46192	−	0.604641i
$786$	1.11249e14	−	1.92689e14i	0.370837	−	0.642309i
$787$	−6.73311e13	+	2.51283e14i	−0.223019	+	0.832318i	0.760169	+	0.649725i	$0.225116\pi$
$787$	−6.73311e13	+	2.51283e14i	−0.223019	+	0.832318i	−0.983189	+	0.182593i	$0.941551\pi$
$788$	−4.06165e14	−	5.80063e14i	−1.33681	−	1.90917i
$789$	8.65577e13	+	1.52625e13i	0.283087	+	0.0499160i
$790$	2.39943e12	+	5.56327e13i	0.00779782	+	0.180798i
$791$	3.74226e13	−	6.48179e13i	0.120851	−	0.209321i
$792$	3.60961e13	+	4.12580e14i	0.115834	+	1.32398i
$793$	3.76888e13	−	1.75746e13i	0.120184	−	0.0560427i
$794$	−9.90808e13	−	2.72222e14i	−0.313969	−	0.862623i
$795$	1.45773e13	−	2.28551e13i	0.0459031	−	0.0719692i
$796$	−8.73311e13	−	4.95280e14i	−0.273277	−	1.54983i
$797$	−2.65162e14	−	2.65162e14i	−0.824554	−	0.824554i	0.162203	−	0.986757i	$-0.448140\pi$
$797$	−2.65162e14	−	2.65162e14i	−0.824554	−	0.824554i	−0.986757	+	0.162203i	$0.948140\pi$
$798$	1.20626e14	−	3.98192e13i	0.372757	−	0.123049i
$799$		−	2.71092e14i		−	0.832496i
$800$	−3.08828e10	+	2.91327e13i	−9.42469e−5	+	0.0889059i
$801$	3.20906e14	−	2.69272e14i	0.973229	−	0.816636i
$802$	9.21014e13	+	4.29476e13i	0.277584	+	0.129440i
$803$	1.75708e13	−	8.19341e12i	0.0526277	−	0.0245407i
$804$	4.55642e13	−	5.43013e13i	0.135626	−	0.161633i
$805$	3.29695e14	+	7.32751e13i	0.975290	+	0.216759i
$806$	−1.26109e13	−	2.18427e13i	−0.0370741	−	0.0642142i
$807$	4.78399e13	−	3.34978e13i	0.139773	−	0.0978699i
$808$	2.48377e13	+	3.54719e13i	0.0721198	+	0.102998i
$809$	−5.68351e14	+	3.28138e14i	−1.64011	+	0.946920i	−0.659323	+	0.751860i	$0.729157\pi$
$809$	−5.68351e14	+	3.28138e14i	−1.64011	+	0.946920i	−0.980791	+	0.195060i	$0.937510\pi$
$810$	2.21939e14	+	3.48783e14i	0.636516	+	1.00030i
$811$	−4.07460e14	−	3.41899e14i	−1.16140	−	0.974528i	−0.161473	−	0.986877i	$-0.551624\pi$
$811$	−4.07460e14	−	3.41899e14i	−1.16140	−	0.974528i	−0.999924	+	0.0123496i	$0.996069\pi$
$812$	−7.76953e13	−	1.66618e14i	−0.220097	−	0.472000i
$813$	5.08754e13	−	1.09103e14i	0.143237	−	0.307173i
$814$	3.88961e14	+	4.63545e14i	1.08839	+	1.29709i
$815$	−1.89947e14	+	6.01322e14i	−0.528255	+	1.67232i
$816$	1.27347e14			0.351996
$817$	2.29043e14	−	5.74633e14i	0.629225	−	1.57863i
$818$	−3.13182e14	+	3.13182e14i	−0.855125	+	0.855125i
$819$	1.89035e13	−	3.33320e12i	0.0513007	−	0.00904570i
$820$	−1.72196e13	+	2.69977e13i	−0.0464466	+	0.0728213i
$821$	6.79455e14	−	2.47301e14i	1.82156	−	0.662995i	0.826598	−	0.562793i	$-0.190273\pi$
$821$	6.79455e14	−	2.47301e14i	1.82156	−	0.662995i	0.994967	−	0.100202i	$-0.0319489\pi$
$822$	9.65688e13	+	2.07092e14i	0.257322	+	0.551830i
$823$	5.20483e14	−	4.55364e13i	1.37850	−	0.120603i	0.626324	−	0.779563i	$-0.284559\pi$
$823$	5.20483e14	−	4.55364e13i	1.37850	−	0.120603i	0.752178	+	0.658959i	$0.229003\pi$
$824$	1.05169e15	+	6.07195e14i	2.76855	+	1.59842i
$825$	1.04775e14	−	3.80094e13i	0.274151	−	0.0994538i
$826$	7.55843e13	−	4.28660e14i	0.196576	−	1.11484i
$827$	2.14682e14	−	1.50322e14i	0.554967	−	0.388592i	−0.262182	−	0.965018i	$-0.584442\pi$
$827$	2.14682e14	−	1.50322e14i	0.554967	−	0.388592i	0.817149	+	0.576426i	$0.195553\pi$
$828$	−9.54872e14	−	2.55857e14i	−2.45354	−	0.657425i
$829$	3.68254e14	+	2.12612e14i	0.940535	+	0.543018i	0.890128	−	0.455711i	$-0.150615\pi$
$829$	3.68254e14	+	2.12612e14i	0.940535	+	0.543018i	0.0504067	+	0.998729i	$0.483948\pi$
$830$	−3.68458e14	+	8.88203e14i	−0.935399	+	2.25487i
$831$	−6.91863e13	−	2.51818e13i	−0.174588	−	0.0635449i
$832$	−3.27775e13	−	1.52844e13i	−0.0822165	−	0.0383382i
$833$	−2.11225e13	+	2.41432e14i	−0.0526649	+	0.601962i
$834$	1.29198e14	−	2.27811e13i	0.320204	−	0.0564606i
$835$	−1.66152e14	+	3.18763e14i	−0.409331	+	0.785300i
$836$	−4.07705e13	−	7.13961e14i	−0.0998423	−	1.74841i
$837$	−9.20989e13	−	9.20989e13i	−0.224196	−	0.224196i
$838$	3.11802e14	+	2.18326e14i	0.754498	+	0.528305i
$839$	−5.27548e14	−	6.28708e14i	−1.26897	−	1.51230i	−0.757201	−	0.653182i	$-0.773433\pi$
$839$	−5.27548e14	−	6.28708e14i	−1.26897	−	1.51230i	−0.511773	−	0.859121i	$-0.671011\pi$
$840$	−1.58499e14	−	2.09523e13i	−0.378992	−	0.0500996i
$841$	−3.37947e14	−	1.23003e14i	−0.803283	−	0.292371i
$842$	−8.47495e13	−	9.68691e14i	−0.200252	−	2.28889i
$843$	5.50947e13	+	2.05616e14i	0.129411	+	0.482969i
$844$	4.93089e14	−	2.84685e14i	1.15136	−	0.664740i
$845$	−5.56070e13	−	4.24114e14i	−0.129076	−	0.984462i
$846$	8.29971e13	−	4.70700e14i	0.191519	−	1.08616i
$847$	1.66304e13	−	6.20655e13i	0.0381492	−	0.142375i
$848$	2.71842e13	+	1.01453e14i	0.0619922	+	0.231358i
$849$	5.98996e13	−	7.13855e13i	0.135795	−	0.161835i
$850$	2.29021e14	+	8.58357e14i	0.516156	+	1.93452i
$851$	−6.69648e14	+	2.43732e14i	−1.50037	+	0.546090i
$852$	2.99977e13	+	2.62446e12i	0.0668175	+	0.00584577i
$853$	1.70327e14	+	1.19264e14i	0.377171	+	0.264098i	0.746755	−	0.665099i	$-0.231611\pi$
$853$	1.70327e14	+	1.19264e14i	0.377171	+	0.264098i	−0.369584	+	0.929197i	$0.620500\pi$
$854$		−	8.52950e14i		−	1.87773i
$855$	−2.08300e14	−	3.50288e14i	−0.455888	−	0.766645i
$856$	5.13817e14			1.11799
$857$	2.69571e14	−	3.84987e14i	0.583134	−	0.832802i	−0.413855	−	0.910343i	$-0.635818\pi$
$857$	2.69571e14	−	3.84987e14i	0.583134	−	0.832802i	0.996989	+	0.0775410i	$0.0247069\pi$
$858$	−1.71888e12	+	1.96469e13i	−0.00369666	+	0.0422530i
$859$	−1.72589e13	−	4.74184e13i	−0.0369017	−	0.101387i	0.919873	−	0.392215i	$-0.128291\pi$
$859$	−1.72589e13	−	4.74184e13i	−0.0369017	−	0.101387i	−0.956775	+	0.290829i	$0.906069\pi$
$860$	−1.16400e15	+	1.06548e15i	−2.47435	+	2.26491i
$861$	3.61034e12	+	3.02944e12i	0.00763014	+	0.00640245i
$862$	1.58108e14	−	4.23648e13i	0.332213	−	0.0890163i
$863$	2.11841e14	+	5.67626e13i	0.442543	+	0.118579i	0.473208	−	0.880951i	$-0.343096\pi$
$863$	2.11841e14	+	5.67626e13i	0.442543	+	0.118579i	−0.0306649	+	0.999530i	$0.509762\pi$
$864$	−2.62162e13	−	4.62262e12i	−0.0544503	−	0.00960106i
$865$	−1.98063e14	+	2.57837e14i	−0.408999	+	0.532433i
$866$	−2.14707e14	−	3.71884e14i	−0.440815	−	0.763515i
$867$	−5.41282e13	+	1.45036e13i	−0.110491	+	0.0296060i
$868$	−3.42061e14	+	2.99265e13i	−0.694233	+	0.0607375i
$869$	1.57803e13	−	4.33561e13i	0.0318432	−	0.0874885i
$870$	8.54355e13	−	6.54850e13i	0.171412	−	0.131385i
$871$	−1.05319e13	+	8.83730e12i	−0.0210095	+	0.0176290i
$872$	−5.97319e14	+	8.53060e14i	−1.18474	+	1.69199i
$873$	−3.25661e14	+	3.25661e14i	−0.642236	+	0.642236i
$874$	1.21512e15	+	3.65286e14i	2.38266	+	0.716269i
$875$	−4.58011e13	−	3.52221e14i	−0.0892968	−	0.686713i
$876$	−3.80391e12	−	2.15730e13i	−0.00737410	−	0.0418206i
$877$	−3.84059e14	−	3.36008e13i	−0.740287	−	0.0647667i	−0.289227	−	0.957260i	$-0.593398\pi$
$877$	−3.84059e14	−	3.36008e13i	−0.740287	−	0.0647667i	−0.451060	+	0.892494i	$0.648954\pi$
$878$	−1.82265e13	+	3.90868e13i	−0.0349325	+	0.0749130i
$879$	−7.72069e13	+	2.12124e14i	−0.147134	+	0.404246i
$880$	−1.65471e14	+	3.98884e14i	−0.313551	+	0.755846i
$881$	4.12399e13	−	7.14297e13i	0.0777031	−	0.134586i	−0.824555	−	0.565781i	$-0.808575\pi$
$881$	4.12399e13	−	7.14297e13i	0.0777031	−	0.134586i	0.902259	+	0.431195i	$0.141908\pi$
$882$	−1.10592e14	+	4.12735e14i	−0.207195	+	0.773264i
$883$	4.59709e14	+	6.56533e14i	0.856406	+	1.22307i	0.973210	+	0.229920i	$0.0738464\pi$
$883$	4.59709e14	+	6.56533e14i	0.856406	+	1.22307i	−0.116803	+	0.993155i	$0.537265\pi$
$884$	−1.02753e14	−	1.81181e13i	−0.190341	−	0.0335622i
$885$	1.69007e14	−	7.28925e12i	0.311306	−	0.0134266i
$886$	7.08660e14	−	1.22743e15i	1.29798	−	2.24817i
$887$	−4.76539e13	−	5.44686e14i	−0.0867921	−	0.992038i	−0.907323	−	0.420435i	$-0.861877\pi$
$887$	−4.76539e13	−	5.44686e14i	−0.0867921	−	0.992038i	0.820530	−	0.571603i	$-0.193678\pi$
$888$	3.05733e14	−	1.42566e14i	0.553704	−	0.258196i
$889$	−1.09900e14	−	3.01949e14i	−0.197920	−	0.543782i
$890$	1.33926e15	−	2.96162e14i	2.39836	−	0.530370i
$891$	−5.94812e13	−	3.37335e14i	−0.105923	−	0.600721i
$892$	−4.81557e14	−	4.81557e14i	−0.852754	−	0.852754i
$893$	−8.27931e13	+	3.98682e14i	−0.145793	+	0.702052i
$894$			1.88205e14i			0.329567i
$895$	2.92845e14	+	5.63278e14i	0.509943	+	0.980861i
$896$	−5.41016e14	+	4.53966e14i	−0.936850	+	0.786110i
$897$	−2.10498e13	−	9.81567e12i	−0.0362481	−	0.0169028i
$898$	−6.09153e14	+	2.84053e14i	−1.04315	+	0.486427i
$899$	7.33194e13	−	8.73786e13i	0.124859	−	0.148801i
$900$	8.95110e13	+	1.03576e15i	0.151588	+	1.75407i
$901$	−8.95148e13	−	1.55044e14i	−0.150755	−	0.261115i
$902$	3.27448e13	−	2.29282e13i	0.0548416	−	0.0384005i
$903$	1.33215e14	+	1.90250e14i	0.221878	+	0.316874i
$904$	−3.06483e14	+	1.76948e14i	−0.507650	+	0.293092i
$905$	−7.08839e14	−	1.57540e14i	−1.16763	−	0.259507i
$906$	−2.10023e14	−	1.76230e14i	−0.344053	−	0.288695i
$907$	9.48233e13	+	2.03349e14i	0.154482	+	0.331288i	0.968283	−	0.249856i	$-0.0803831\pi$
$907$	9.48233e13	+	2.03349e14i	0.154482	+	0.331288i	−0.813801	+	0.581144i	$0.802605\pi$
$908$	4.24698e14	−	9.10768e14i	0.688099	−	1.47563i
$909$	−2.66394e13	−	3.17476e13i	−0.0429244	−	0.0511553i
$910$	5.99303e13	+	1.89309e13i	0.0960371	+	0.0303364i
$911$	−1.76602e14			−0.281451			−0.140725	−	0.990049i	$-0.544943\pi$
$911$	−1.76602e14			−0.281451			−0.140725	+	0.990049i	$0.544943\pi$
$912$	−1.87283e14	−	3.88925e13i	−0.296841	−	0.0616442i
$913$	5.63388e14	−	5.63388e14i	0.888084	−	0.888084i
$914$	−1.90208e14	+	3.35388e13i	−0.298193	+	0.0525794i
$915$	3.23670e14	−	7.15759e13i	0.504658	−	0.111599i
$916$	−1.46847e14	+	5.34479e13i	−0.227713	+	0.0828807i
$917$	2.48287e14	+	5.32453e14i	0.382920	+	0.821174i
$918$	−8.08690e14	+	7.07512e13i	−1.24042	+	0.108523i
$919$	7.37497e14	+	4.25794e14i	1.12508	+	0.649564i	0.942693	−	0.333663i	$-0.108285\pi$
$919$	7.37497e14	+	4.25794e14i	1.12508	+	0.649564i	0.182386	+	0.983227i	$0.441618\pi$
$920$	−1.17683e15	−	1.07951e15i	−1.78556	−	1.63791i
$921$	6.39923e13	−	3.62918e14i	0.0965671	−	0.547659i
$922$	−4.58844e14	+	3.21286e14i	−0.688669	+	0.482211i
$923$	−5.64136e12	−	1.51160e12i	−0.00842122	−	0.00225646i
$924$	2.32522e14	+	1.34247e14i	0.345227	+	0.199317i
$925$	4.81119e14	+	5.74611e14i	0.710467	+	0.848527i
$926$	5.29802e14	+	1.92832e14i	0.778142	+	0.283220i
$927$	−1.05334e15	−	4.91182e14i	−1.53876	−	0.717536i
$928$	2.03187e12	−	2.32244e13i	0.00295227	−	0.0337446i
$929$	9.57539e14	−	1.68840e14i	1.38381	−	0.244004i	0.568338	−	0.822795i	$-0.307586\pi$
$929$	9.57539e14	−	1.68840e14i	1.38381	−	0.244004i	0.815476	+	0.578791i	$0.196475\pi$
$930$	−6.03559e13	−	1.91779e14i	−0.0867571	−	0.275668i
$931$	1.04799e14	−	3.48612e14i	0.149833	−	0.498418i
$932$	8.21699e13	+	8.21699e13i	0.116851	+	0.116851i
$933$	−3.89517e13	−	2.72743e13i	−0.0550958	−	0.0385785i
$934$	−1.06220e15	−	1.26588e15i	−1.49441	−	1.78097i
$935$	9.64659e13	−	7.29742e14i	0.134994	−	1.02120i
$936$	−8.52882e13	−	3.10424e13i	−0.118716	−	0.0432091i
$937$	−8.93617e13	−	1.02141e15i	−0.123724	−	1.41417i	−0.763599	−	0.645691i	$-0.776569\pi$
$937$	−8.93617e13	−	1.02141e15i	−0.123724	−	1.41417i	0.639875	−	0.768479i	$-0.278986\pi$
$938$	7.29852e13	+	2.72385e14i	0.100513	+	0.375118i
$939$	−6.46781e12	+	3.73419e12i	−0.00885991	+	0.00511527i
$940$	6.32769e14	−	8.23736e14i	0.862195	−	1.12240i
$941$	−9.51394e13	+	5.39563e14i	−0.128947	+	0.731297i	0.849937	+	0.526884i	$0.176640\pi$
$941$	−9.51394e13	+	5.39563e14i	−0.128947	+	0.731297i	−0.978885	+	0.204413i	$0.934471\pi$
$942$	−1.72161e14	+	6.42513e14i	−0.232103	+	0.866219i
$943$	1.21842e13	+	4.54720e13i	0.0163395	+	0.0609798i
$944$	−4.21304e14	+	5.02091e14i	−0.561999	+	0.669765i
$945$	3.24242e14	+	1.43289e13i	0.430240	+	0.0190132i
$946$	1.85110e15	−	6.73746e14i	2.44329	−	0.889284i
$947$	1.03365e15	+	9.04326e13i	1.35714	+	0.118734i	0.742378	−	0.669981i	$-0.233698\pi$
$947$	1.03365e15	+	9.04326e13i	1.35714	+	0.118734i	0.614759	+	0.788715i	$0.289253\pi$
$948$	−4.27043e13	−	2.99019e13i	−0.0557738	−	0.0390532i
$949$			4.24869e12i			0.00551981i
$950$	−7.46631e13	−	1.33229e15i	−0.0964913	−	1.72179i
$951$	4.87445e14			0.626647
$952$	−6.05626e14	+	8.64924e14i	−0.774497	+	1.10610i
$953$	9.58887e12	−	1.09601e14i	0.0121984	−	0.139428i	−0.987653	−	0.156656i	$-0.949929\pi$
$953$	9.58887e12	−	1.09601e14i	0.0121984	−	0.139428i	0.999852	+	0.0172279i	$0.00548408\pi$
$954$	−1.07958e14	−	2.96611e14i	−0.136619	−	0.375358i
$955$	−3.36096e13	+	7.60536e14i	−0.0423103	+	0.957421i
$956$	1.56099e15	+	1.30983e15i	1.95484	+	1.64030i
$957$	−8.61528e13	+	2.30846e13i	−0.107327	+	0.0287582i
$958$	1.39830e15	+	3.74673e14i	1.73289	+	0.464328i
$959$	−5.94183e14	−	1.04770e14i	−0.732533	−	0.129165i
$960$	−2.28625e14	−	1.75622e14i	−0.280393	−	0.215389i
$961$	3.03293e14	+	5.25319e14i	0.370038	+	0.640924i
$962$	−1.28092e14	+	3.43221e13i	−0.155470	+	0.0416580i
$963$	−4.89879e14	+	4.28589e13i	−0.591504	+	0.0517499i
$964$	6.35040e14	−	1.74476e15i	0.762810	−	2.09580i
$965$	5.09153e12	+	6.73059e11i	0.00608432	+	0.000804297i
$966$	−3.64933e14	+	3.06215e14i	−0.433837	+	0.364033i
$967$	−5.08956e14	+	7.26864e14i	−0.601932	+	0.859648i	−0.998290	−	0.0584477i	$-0.981385\pi$
$967$	−5.08956e14	+	7.26864e14i	−0.601932	+	0.859648i	0.396358	+	0.918096i	$0.370274\pi$
$968$	−2.14834e14	+	2.14834e14i	−0.252770	+	0.252770i
$969$	3.25510e14	−	1.85881e13i	0.381018	−	0.0217579i
$970$	−1.43840e15	+	4.52689e14i	−1.67503	+	0.527158i
$971$	2.28239e14	+	1.29441e15i	0.264420	+	1.49960i	0.770682	+	0.637219i	$0.219916\pi$
$971$	2.28239e14	+	1.29441e15i	0.264420	+	1.49960i	−0.506263	+	0.862379i	$0.668973\pi$
$972$	−1.44656e15	−	1.26558e14i	−1.66727	−	0.145867i
$973$	−1.46398e14	+	3.13951e14i	−0.167869	+	0.359995i
$974$	1.34241e14	−	3.68824e14i	0.153141	−	0.420751i
$975$	−2.15463e12	+	2.43304e13i	−0.00244539	+	0.0276138i
$976$	−6.42185e14	+	1.11230e15i	−0.725122	+	1.25595i
$977$	3.64328e14	−	1.35969e15i	0.409279	−	1.52745i	−0.386745	−	0.922187i	$-0.626401\pi$
$977$	3.64328e14	−	1.35969e15i	0.409279	−	1.52745i	0.796025	−	0.605264i	$-0.206933\pi$
$978$	−5.10185e14	−	7.28620e14i	−0.570208	−	0.814342i
$979$	−1.11921e15	−	1.97348e14i	−1.24451	−	0.219441i
$980$	−6.27721e14	+	6.84309e14i	−0.694442	+	0.757045i
$981$	4.98335e14	−	8.63142e14i	0.548500	−	0.950029i
$982$	1.76611e14	+	2.01867e15i	0.193402	+	2.21059i
$983$	1.30017e15	−	6.06279e14i	1.41655	−	0.660549i	0.444600	−	0.895729i	$-0.353346\pi$
$983$	1.30017e15	−	6.06279e14i	1.41655	−	0.660549i	0.971952	+	0.235181i	$0.0755682\pi$
$984$	−7.62181e12	−	2.09407e13i	−0.00826195	−	0.0226995i
$985$	2.36394e14	+	1.06899e15i	0.254950	+	1.15290i
$986$	−1.23450e14	−	7.00118e14i	−0.132466	−	0.751254i
$987$	−1.08102e14	−	1.08102e14i	−0.115411	−	0.115411i
$988$	1.45580e14	+	5.80267e13i	0.154638	+	0.0616372i
$989$			2.31989e15i			2.45180i
$990$	3.90912e14	−	1.23753e15i	0.411058	−	1.30130i
$991$	−6.70895e14	+	5.62948e14i	−0.701918	+	0.588979i	−0.922319	−	0.386430i	$-0.873708\pi$
$991$	−6.70895e14	+	5.62948e14i	−0.701918	+	0.588979i	0.220401	+	0.975409i	$0.429263\pi$
$992$	−3.94629e13	−	1.84019e13i	−0.0410800	−	0.0191559i
$993$	4.69641e14	−	2.18997e14i	0.486430	−	0.226826i
$994$	−7.70006e13	+	9.17658e13i	−0.0793528	+	0.0945690i
$995$	−1.68695e14	+	7.59029e14i	−0.172976	+	0.778293i
$996$	−4.50128e14	−	7.79644e14i	−0.459240	−	0.795426i
$997$	−1.48925e15	+	1.04279e15i	−1.51179	+	1.05857i	−0.534881	+	0.844928i	$0.679643\pi$
$997$	−1.48925e15	+	1.04279e15i	−1.51179	+	1.05857i	−0.976912	+	0.213641i	$0.931468\pi$
$998$	1.65155e14	+	2.35866e14i	0.166817	+	0.238239i
$999$	−5.93064e14	+	3.42406e14i	−0.596039	+	0.344123i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.11.q.a.47.90	yes	1176
5.3	odd	4	inner	95.11.q.a.28.9	yes	1176
19.17	even	9	inner	95.11.q.a.17.9	✓	1176
95.93	odd	36	inner	95.11.q.a.93.90	yes	1176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.11.q.a.17.9	✓	1176	19.17	even	9	inner
95.11.q.a.28.9	yes	1176	5.3	odd	4	inner
95.11.q.a.47.90	yes	1176	1.1	even	1	trivial
95.11.q.a.93.90	yes	1176	95.93	odd	36	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+(31.6521 - 45.2039i) q^{2} +(6.96162 - 79.5717i) q^{3} +(-691.310 - 1899.36i) q^{4} +(-137.965 + 3121.95i) q^{5} +(-3376.60 - 2833.31i) q^{6} +(11242.2 - 3012.33i) q^{7} +(-53157.1 - 14243.4i) q^{8} +(51868.7 + 9145.86i) q^{9} +(136758. + 105053. i) q^{10} +(-71443.4 - 123744. i) q^{11} +(-155948. + 41786.1i) q^{12} +(31194.3 - 2729.15i) q^{13} +(219669. - 603537. i) q^{14} +(247459. + 32712.0i) q^{15} +(-740864. + 621659. i) q^{16} +(945541. - 1.35037e6i) q^{17} +(2.05519e6 - 2.05519e6i) q^{18} +(-1.80298e6 + 1.69716e6i) q^{19} +(6.02508e6 - 1.89619e6i) q^{20} +(-161432. - 915529. i) q^{21} +(-7.85504e6 - 687227. i) q^{22} +(3.92441e6 - 8.41593e6i) q^{23} +(-1.50343e6 + 4.13065e6i) q^{24} +(-9.72756e6 - 861443. i) q^{25} +(863998. - 1.49649e6i) q^{26} +(2.30958e6 - 8.61947e6i) q^{27} +(-1.34933e7 - 1.92704e7i) q^{28} +(7.69610e6 + 1.35703e6i) q^{29} +(9.31130e6 - 1.01507e7i) q^{30} +(7.29797e6 - 1.26405e7i) q^{31} +(-260002. - 2.97184e6i) q^{32} +(-1.03439e7 + 4.82342e6i) q^{33} +(-3.11138e7 - 8.54844e7i) q^{34} +(7.85332e6 + 3.55131e7i) q^{35} +(-1.84861e7 - 1.04840e8i) q^{36} +(-5.42649e7 - 5.42649e7i) q^{37} +(1.96501e7 + 1.35220e8i) q^{38} -2.50118e6i q^{39} +(5.18011e7 - 1.63989e8i) q^{40} +(-3.88354e6 + 3.25868e6i) q^{41} +(-4.64952e7 - 2.16811e7i) q^{42} +(-2.26421e8 + 1.05582e8i) q^{43} +(-1.85644e8 + 2.21242e8i) q^{44} +(-3.57090e7 + 1.60670e8i) q^{45} +(-2.56217e8 - 4.43781e8i) q^{46} +(1.34707e8 - 9.43231e7i) q^{47} +(4.43088e7 + 6.32796e7i) q^{48} +(-1.27319e8 + 7.35074e7i) q^{49} +(-3.46839e8 + 4.12457e8i) q^{50} +(-1.00869e8 - 8.46391e7i) q^{51} +(-2.67486e7 - 5.73625e7i) q^{52} +(4.58970e7 - 9.84264e7i) q^{53} +(-3.16531e8 - 3.77227e8i) q^{54} +(3.96179e8 - 2.05971e8i) q^{55} -6.40507e8 q^{56} +(1.22494e8 + 1.55281e8i) q^{57} +(3.04941e8 - 3.04941e8i) q^{58} +(6.67414e8 - 1.17683e8i) q^{59} +(-1.08939e8 - 4.92627e8i) q^{60} +(1.24793e9 - 4.54210e8i) q^{61} +(-3.40402e8 - 7.29995e8i) q^{62} +(6.10667e8 - 5.34265e7i) q^{63} +(-1.00023e9 - 5.77482e8i) q^{64} +(4.21654e6 + 9.77637e7i) q^{65} +(-1.09368e8 + 6.20254e8i) q^{66} +(-3.59654e8 + 2.51833e8i) q^{67} +(-3.21850e9 - 8.62395e8i) q^{68} +(-6.42349e8 - 3.70861e8i) q^{69} +(1.85391e9 + 7.69065e8i) q^{70} +(-1.75265e8 - 6.37911e7i) q^{71} +(-2.62693e9 - 1.22496e9i) q^{72} +(-1.18255e7 + 1.35166e8i) q^{73} +(-4.17059e9 + 7.35388e8i) q^{74} +(-1.36266e8 + 7.68041e8i) q^{75} +(4.46992e9 + 2.25124e9i) q^{76} +(-1.17594e9 - 1.17594e9i) q^{77} +(-1.13063e8 - 7.91678e7i) q^{78} +(2.07558e8 + 2.47358e8i) q^{79} +(-1.83858e9 - 2.39871e9i) q^{80} +(2.25270e9 + 8.19915e8i) q^{81} +(2.43827e7 + 2.78696e8i) q^{82} +(1.44320e9 + 5.38610e9i) q^{83} +(-1.62732e9 + 9.39532e8i) q^{84} +(4.08535e9 + 3.13824e9i) q^{85} +(-2.39399e9 + 1.35770e10i) q^{86} +(1.61558e8 - 6.02944e8i) q^{87} +(2.03520e9 + 7.59546e9i) q^{88} +(5.11255e9 - 6.09289e9i) q^{89} +(6.13265e9 + 6.69974e9i) q^{90} +(3.42471e8 - 1.24649e8i) q^{91} +(-1.86978e10 - 1.63585e9i) q^{92} +(-9.55017e8 - 6.68710e8i) q^{93} -9.07483e9i q^{94} +(-5.04970e9 - 5.86296e9i) q^{95} -2.38284e8 q^{96} +(-5.01554e9 + 7.16294e9i) q^{97} +(-7.07081e8 + 8.08197e9i) q^{98} +(-2.57394e9 - 7.07184e9i) 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

Introduction

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