LMFDB - Embedded newform 95.11.q.a.17.9

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			17.9
Character	$\chi$	$=$	95.17
Dual form			95.11.q.a.28.9

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-45.2039 + 31.6521i) q^{2} +(79.5717 - 6.96162i) q^{3} +(691.310 - 1899.36i) q^{4} +(1901.07 + 2480.24i) q^{5} +(-3376.60 + 2833.31i) q^{6} +(-3012.33 + 11242.2i) q^{7} +(14243.4 + 53157.1i) q^{8} +(-51868.7 + 9145.86i) q^{9} +(-164440. - 51943.7i) q^{10} +(-71443.4 + 123744. i) q^{11} +(41786.1 - 155948. i) q^{12} +(2729.15 - 31194.3i) q^{13} +(-219669. - 603537. i) q^{14} +(168537. + 184122. i) q^{15} +(-740864. - 621659. i) q^{16} +(-1.35037e6 + 945541. i) 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} +(-687227. - 7.85504e6i) q^{22} +(8.41593e6 - 3.92441e6i) q^{23} +(1.50343e6 + 4.13065e6i) q^{24} +(-2.53753e6 + 9.43018e6i) q^{25} +(863998. + 1.49649e6i) q^{26} +(-8.61947e6 + 2.30958e6i) q^{27} +(1.92704e7 + 1.34933e7i) q^{28} +(-7.69610e6 + 1.35703e6i) q^{29} +(-1.34464e7 - 2.98848e6i) q^{30} +(7.29797e6 + 1.26405e7i) q^{31} +(-2.97184e6 - 260002. i) q^{32} +(-4.82342e6 + 1.03439e7i) q^{33} +(3.11138e7 - 8.54844e7i) q^{34} +(-3.36099e7 + 1.39008e7i) q^{35} +(-1.84861e7 + 1.04840e8i) q^{36} +(-5.42649e7 - 5.42649e7i) q^{37} +(-1.35220e8 - 1.96501e7i) q^{38} -2.50118e6i q^{39} +(-1.04765e8 + 1.36382e8i) q^{40} +(-3.88354e6 - 3.25868e6i) q^{41} +(-2.16811e7 - 4.64952e7i) q^{42} +(-1.05582e8 + 2.26421e8i) q^{43} +(1.85644e8 + 2.21242e8i) q^{44} +(-1.21290e8 - 1.11260e8i) q^{45} +(-2.56217e8 + 4.43781e8i) q^{46} +(-9.43231e7 + 1.34707e8i) q^{47} +(-6.32796e7 - 4.43088e7i) q^{48} +(1.27319e8 + 7.35074e7i) q^{49} +(-1.83779e8 - 5.06600e8i) q^{50} +(-1.00869e8 + 8.46391e7i) q^{51} +(-5.73625e7 - 2.67486e7i) q^{52} +(9.84264e7 - 4.58970e7i) q^{53} +(3.16531e8 - 3.77227e8i) q^{54} +(-4.42732e8 + 5.80481e7i) q^{55} -6.40507e8 q^{56} +(1.55281e8 + 1.22494e8i) q^{57} +(3.04941e8 - 3.04941e8i) q^{58} +(-6.67414e8 - 1.17683e8i) q^{59} +(4.66225e8 - 1.92827e8i) q^{60} +(1.24793e9 + 4.54210e8i) q^{61} +(-7.29995e8 - 3.40402e8i) q^{62} +(5.34265e7 - 6.10667e8i) q^{63} +(1.00023e9 - 5.77482e8i) q^{64} +(8.25576e7 - 5.25335e7i) q^{65} +(-1.09368e8 - 6.20254e8i) q^{66} +(2.51833e8 - 3.59654e8i) q^{67} +(8.62395e8 + 3.21850e9i) q^{68} +(6.42349e8 - 3.70861e8i) q^{69} +(1.07931e9 - 1.69220e9i) q^{70} +(-1.75265e8 + 6.37911e7i) q^{71} +(-1.22496e9 - 2.62693e9i) q^{72} +(-1.35166e8 + 1.18255e7i) 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} +(7.91678e7 + 1.13063e8i) q^{78} +(-2.07558e8 + 2.47358e8i) q^{79} +(1.33430e8 - 3.01933e9i) q^{80} +(2.25270e9 - 8.19915e8i) q^{81} +(2.78696e8 + 2.43827e7i) q^{82} +(-5.38610e9 - 1.44320e9i) q^{83} +(1.62732e9 + 9.39532e8i) q^{84} +(-4.91231e9 - 1.55171e9i) q^{85} +(-2.39399e9 - 1.35770e10i) q^{86} +(-6.02944e8 + 1.61558e8i) q^{87} +(-7.59546e9 - 2.03520e9i) q^{88} +(-5.11255e9 - 6.09289e9i) q^{89} +(9.00439e9 + 1.19031e9i) q^{90} +(3.42471e8 + 1.24649e8i) q^{91} +(-1.63585e9 - 1.86978e10i) q^{92} +(6.68710e8 + 9.55017e8i) q^{93} -9.07483e9i q^{94} +(-7.81776e8 + 7.69822e9i) q^{95} -2.38284e8 q^{96} +(7.16294e9 - 5.01554e9i) q^{97} +(-8.08197e9 + 7.07081e8i) 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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

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

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 $

$2$	−45.2039	+	31.6521i	−1.41262	+	0.989129i	−0.415802	+	0.909455i	$0.636499\pi$
$2$	−45.2039	+	31.6521i	−1.41262	+	0.989129i	−0.996821	+	0.0796744i	$0.974612\pi$
$3$	79.5717	−	6.96162i	0.327455	−	0.0286486i	0.0777572	−	0.996972i	$-0.475224\pi$
$3$	79.5717	−	6.96162i	0.327455	−	0.0286486i	0.249698	+	0.968324i	$0.419669\pi$
$4$	691.310	−	1899.36i	0.675107	−	1.85484i
$5$	1901.07	+	2480.24i	0.608341	+	0.793676i
$5$	1901.07	+	2480.24i	0.608341	+	0.793676i
$6$	−3376.60	+	2833.31i	−0.434234	+	0.364366i
$7$	−3012.33	+	11242.2i	−0.179231	+	0.668898i	0.816562	+	0.577258i	$0.195877\pi$
$7$	−3012.33	+	11242.2i	−0.179231	+	0.668898i	−0.995792	+	0.0916396i	$0.970789\pi$
$8$	14243.4	+	53157.1i	0.434675	+	1.62223i
$9$	−51868.7	+	9145.86i	−0.878401	+	0.154886i
$10$	−164440.	−	51943.7i	−1.64440	−	0.519437i
$11$	−71443.4	+	123744.i	−0.443607	+	0.768351i	−0.997954	−	0.0639353i	$-0.979635\pi$
$11$	−71443.4	+	123744.i	−0.443607	+	0.768351i	0.554347	+	0.832286i	$0.312968\pi$
$12$	41786.1	−	155948.i	0.167929	−	0.626719i
$13$	2729.15	−	31194.3i	0.00735039	−	0.0840153i	−0.991633	−	0.129086i	$-0.958796\pi$
$13$	2729.15	−	31194.3i	0.00735039	−	0.0840153i	0.998984	+	0.0450705i	$0.0143513\pi$
$14$	−219669.	−	603537.i	−0.408441	−	1.12218i
$15$	168537.	+	184122.i	0.221942	+	0.242465i
$16$	−740864.	−	621659.i	−0.706543	−	0.592860i
$17$	−1.35037e6	+	945541.i	−0.951062	+	0.665941i	−0.942565	−	0.334023i	$-0.891594\pi$
$17$	−1.35037e6	+	945541.i	−0.951062	+	0.665941i	−0.00849747	+	0.999964i	$0.502705\pi$
$18$	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
$22$	−687227.	−	7.85504e6i	−0.133348	−	1.52418i
$23$	8.41593e6	−	3.92441e6i	1.30756	−	0.609727i	0.361097	−	0.932528i	$-0.382402\pi$
$23$	8.41593e6	−	3.92441e6i	1.30756	−	0.609727i	0.946467	+	0.322801i	$0.104625\pi$
$24$	1.50343e6	+	4.13065e6i	0.188811	+	0.518754i
$25$	−2.53753e6	+	9.43018e6i	−0.259843	+	0.965651i
$26$	863998.	+	1.49649e6i	0.0727187	+	0.125953i
$27$	−8.61947e6	+	2.30958e6i	−0.600706	+	0.160959i
$28$	1.92704e7	+	1.34933e7i	1.11970	+	0.784022i
$29$	−7.69610e6	+	1.35703e6i	−0.375215	+	0.0661606i	−0.358076	−	0.933693i	$-0.616567\pi$
$29$	−7.69610e6	+	1.35703e6i	−0.375215	+	0.0661606i	−0.0171395	+	0.999853i	$0.505456\pi$
$30$	−1.34464e7	−	2.98848e6i	−0.553350	−	0.122983i
$31$	7.29797e6	+	1.26405e7i	0.254914	+	0.441524i	0.964872	−	0.262720i	$-0.0846195\pi$
$31$	7.29797e6	+	1.26405e7i	0.254914	+	0.441524i	−0.709958	+	0.704244i	$0.751286\pi$
$32$	−2.97184e6	−	260002.i	−0.0885677	−	0.00774867i
$33$	−4.82342e6	+	1.03439e7i	−0.123249	+	0.264309i
$34$	3.11138e7	−	8.54844e7i	0.684791	−	1.88145i
$35$	−3.36099e7	+	1.39008e7i	−0.639921	+	0.264667i
$36$	−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	$0.936649\pi$
$38$	−1.35220e8	−	1.96501e7i	−1.70657	−	0.247998i
$39$		−	2.50118e6i		−	0.0277219i
$40$	−1.04765e8	+	1.36382e8i	−1.02309	+	1.33186i
$41$	−3.88354e6	−	3.25868e6i	−0.0335204	−	0.0281269i	0.625874	−	0.779925i	$-0.284743\pi$
$41$	−3.88354e6	−	3.25868e6i	−0.0335204	−	0.0281269i	−0.659394	+	0.751798i	$0.729187\pi$
$42$	−2.16811e7	−	4.64952e7i	−0.165895	−	0.355764i
$43$	−1.05582e8	+	2.26421e8i	−0.718202	+	1.54019i	0.118757	+	0.992923i	$0.462109\pi$
$43$	−1.05582e8	+	2.26421e8i	−0.718202	+	1.54019i	−0.836959	+	0.547266i	$0.815669\pi$
$44$	1.85644e8	+	2.21242e8i	1.12569	+	1.34154i
$45$	−1.21290e8	−	1.11260e8i	−0.657297	−	0.602943i
$46$	−2.56217e8	+	4.43781e8i	−1.24400	+	2.15466i
$47$	−9.43231e7	+	1.34707e8i	−0.411272	+	0.587357i	−0.970334	−	0.241769i	$-0.922272\pi$
$47$	−9.43231e7	+	1.34707e8i	−0.411272	+	0.587357i	0.559062	+	0.829126i	$0.311161\pi$
$48$	−6.32796e7	−	4.43088e7i	−0.248346	−	0.173894i
$49$	1.27319e8	+	7.35074e7i	0.450725	+	0.260226i
$50$	−1.83779e8	−	5.06600e8i	−0.588094	−	1.62112i
$51$	−1.00869e8	+	8.46391e7i	−0.292352	+	0.245313i
$52$	−5.73625e7	−	2.67486e7i	−0.150873	−	0.0703532i
$53$	9.84264e7	−	4.58970e7i	0.235360	−	0.109750i	−0.301361	−	0.953510i	$-0.597441\pi$
$53$	9.84264e7	−	4.58970e7i	0.235360	−	0.109750i	0.536720	+	0.843760i	$0.319663\pi$
$54$	3.16531e8	−	3.77227e8i	0.689362	−	0.821550i
$55$	−4.42732e8	+	5.80481e7i	−0.879686	+	0.115339i
$56$	−6.40507e8			−1.16301
$57$	1.55281e8	+	1.22494e8i	0.258074	+	0.203583i
$58$	3.04941e8	−	3.04941e8i	0.464596	−	0.464596i
$59$	−6.67414e8	−	1.17683e8i	−0.933544	−	0.164609i	−0.313868	−	0.949467i	$-0.601625\pi$
$59$	−6.67414e8	−	1.17683e8i	−0.933544	−	0.164609i	−0.619676	+	0.784858i	$0.712736\pi$
$60$	4.66225e8	−	1.92827e8i	0.599570	−	0.247978i
$61$	1.24793e9	+	4.54210e8i	1.47755	+	0.537784i	0.950139	−	0.311826i	$-0.100941\pi$
$61$	1.24793e9	+	4.54210e8i	1.47755	+	0.537784i	0.527411	+	0.849611i	$0.323163\pi$
$62$	−7.29995e8	−	3.40402e8i	−0.796822	−	0.371564i
$63$	5.34265e7	−	6.10667e8i	0.0538336	−	0.615321i
$64$	1.00023e9	−	5.77482e8i	0.931536	−	0.537822i
$65$	8.25576e7	−	5.25335e7i	0.0711525	−	0.0452761i
$66$	−1.09368e8	−	6.20254e8i	−0.0873311	−	0.495279i
$67$	2.51833e8	−	3.59654e8i	0.186525	−	0.266386i	−0.714988	−	0.699136i	$-0.753568\pi$
$67$	2.51833e8	−	3.59654e8i	0.186525	−	0.266386i	0.901514	+	0.432751i	$0.142457\pi$
$68$	8.62395e8	+	3.21850e9i	0.593146	+	2.21365i
$69$	6.42349e8	−	3.70861e8i	0.410701	−	0.237118i
$70$	1.07931e9	−	1.69220e9i	0.642178	−	1.00684i
$71$	−1.75265e8	+	6.37911e7i	−0.0971410	+	0.0353564i	−0.390133	−	0.920758i	$-0.627571\pi$
$71$	−1.75265e8	+	6.37911e7i	−0.0971410	+	0.0353564i	0.292992	+	0.956115i	$0.405349\pi$
$72$	−1.22496e9	−	2.62693e9i	−0.633079	−	1.35764i
$73$	−1.35166e8	+	1.18255e7i	−0.0652010	+	0.00570435i	−0.119710	−	0.992809i	$-0.538196\pi$
$73$	−1.35166e8	+	1.18255e7i	−0.0652010	+	0.00570435i	0.0545086	+	0.998513i	$0.482641\pi$
$74$	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
$78$	7.91678e7	+	1.13063e8i	0.0274205	+	0.0391605i
$79$	−2.07558e8	+	2.47358e8i	−0.0674534	+	0.0803878i	−0.798716	−	0.601708i	$-0.794487\pi$
$79$	−2.07558e8	+	2.47358e8i	−0.0674534	+	0.0803878i	0.731263	+	0.682096i	$0.238931\pi$
$80$	1.33430e8	−	3.01933e9i	0.0407197	−	0.921427i
$81$	2.25270e9	−	8.19915e8i	0.646068	−	0.235149i
$82$	2.78696e8	+	2.43827e7i	0.0751728	+	0.00657677i
$83$	−5.38610e9	−	1.44320e9i	−1.36736	−	0.366384i	−0.500848	−	0.865535i	$-0.666979\pi$
$83$	−5.38610e9	−	1.44320e9i	−1.36736	−	0.366384i	−0.866515	+	0.499151i	$0.833645\pi$
$84$	1.62732e9	+	9.39532e8i	0.389113	+	0.224655i
$85$	−4.91231e9	−	1.55171e9i	−1.10711	−	0.349716i
$86$	−2.39399e9	−	1.35770e10i	−0.508898	−	2.88610i
$87$	−6.02944e8	+	1.61558e8i	−0.120971	+	0.0324140i
$88$	−7.59546e9	−	2.03520e9i	−1.43926	−	0.385650i
$89$	−5.11255e9	−	6.09289e9i	−0.915561	−	1.09112i	−0.995541	−	0.0943264i	$-0.969930\pi$
$89$	−5.11255e9	−	6.09289e9i	−0.915561	−	1.09112i	0.0799806	−	0.996796i	$-0.474514\pi$
$90$	9.00439e9	+	1.19031e9i	1.52490	+	0.201579i
$91$	3.42471e8	+	1.24649e8i	0.0548803	+	0.0199748i
$92$	−1.63585e9	−	1.86978e10i	−0.248201	−	2.83695i
$93$	6.68710e8	+	9.55017e8i	0.0961221	+	0.137277i
$94$		−	9.07483e9i		−	1.23652i
$95$	−7.81776e8	+	7.69822e9i	−0.101033	+	0.994883i
$96$	−2.38284e8			−0.0292240
$97$	7.16294e9	−	5.01554e9i	0.834128	−	0.584063i	−0.0766036	−	0.997062i	$-0.524408\pi$
$97$	7.16294e9	−	5.01554e9i	0.834128	−	0.584063i	0.910731	+	0.412999i	$0.135519\pi$
$98$	−8.08197e9	+	7.07081e8i	−0.894101	+	0.0782237i
$99$	2.57394e9	−	7.07184e9i	0.270659	−	0.743629i
$100$	1.61571e10	+	1.13389e10i	1.61571	+	1.13389i
$101$	−6.02776e8	+	5.05789e8i	−0.0573521	+	0.0481241i	−0.671013	−	0.741445i	$-0.734141\pi$
$101$	−6.02776e8	+	5.05789e8i	−0.0573521	+	0.0481241i	0.613661	+	0.789570i	$0.289696\pi$
$102$	1.88067e9	−	7.01874e9i	0.170338	−	0.635709i
$103$	5.71132e9	+	2.13149e10i	0.492663	+	1.83864i	0.542743	+	0.839899i	$0.317386\pi$
$103$	5.71132e9	+	2.13149e10i	0.492663	+	1.83864i	−0.0500797	+	0.998745i	$0.515948\pi$
$104$	1.69707e9	−	2.99240e8i	0.139487	−	0.0245953i
$105$	−2.57762e9	+	1.34009e9i	−0.201963	+	0.104999i
$106$	−2.99652e9	+	5.19013e9i	−0.223918	+	0.387837i
$107$	2.41650e9	−	9.01850e9i	0.172293	−	0.643007i	−0.824704	−	0.565565i	$-0.808658\pi$
$107$	2.41650e9	−	9.01850e9i	0.172293	−	0.643007i	0.996997	−	0.0774418i	$-0.0246752\pi$
$108$	−1.57201e9	+	1.79681e10i	−0.106988	+	1.22288i
$109$	−6.47216e9	−	1.77821e10i	−0.420646	−	1.15571i	−0.951338	−	0.308150i	$-0.900290\pi$
$109$	−6.47216e9	−	1.77821e10i	−0.420646	−	1.15571i	0.530692	−	0.847565i	$-0.321932\pi$
$110$	1.81759e10	−	1.66374e10i	1.12858	−	1.03305i
$111$	−4.69572e9	−	3.94018e9i	−0.278668	−	0.233830i
$112$	9.22052e9	−	6.45628e9i	0.523197	−	0.366347i
$113$	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
$117$	1.43741e8	+	1.64297e9i	0.00655620	+	0.0749377i
$118$	3.38946e10	−	1.58053e10i	1.48157	−	0.690866i
$119$	−6.56216e9	−	1.80294e10i	−0.274987	−	0.755521i
$120$	−7.38686e9	+	1.15815e10i	−0.296861	+	0.465434i
$121$	2.76039e9	+	4.78113e9i	0.106425	+	0.184333i
$122$	−7.07882e10	+	1.89676e10i	−2.61916	+	0.701802i
$123$	−3.31706e8	−	2.32263e8i	−0.0117822	−	0.00825000i
$124$	2.90539e10	−	5.12299e9i	0.991052	−	0.174749i
$125$	−2.82131e10	+	1.16337e10i	−0.924487	+	0.381214i
$126$	1.69138e10	+	2.92956e10i	0.532586	+	0.922465i
$127$	−2.75033e10	−	2.40623e9i	−0.832467	−	0.0728314i	−0.337050	−	0.941487i	$-0.609429\pi$
$127$	−2.75033e10	−	2.40623e9i	−0.832467	−	0.0728314i	−0.495417	+	0.868655i	$0.664985\pi$
$128$	−2.56447e10	+	5.49953e10i	−0.746360	+	1.60057i
$129$	−6.82506e9	+	1.87517e10i	−0.191055	+	0.524919i
$130$	−2.06913e9	+	4.98784e9i	−0.0557277	+	0.134337i
$131$	8.76536e9	−	4.97108e10i	0.227203	−	1.28853i	−0.631227	−	0.775598i	$-0.717448\pi$
$131$	8.76536e9	−	4.97108e10i	0.227203	−	1.28853i	0.858429	−	0.512932i	$-0.171441\pi$
$132$	1.63122e10	+	1.63122e10i	0.407045	+	0.407045i
$133$	−2.45109e10	+	1.51570e10i	−0.588980	+	0.364212i
$134$			2.42288e10i			0.560801i
$135$	−2.21145e10	−	1.69877e10i	−0.493183	−	0.378848i
$136$	−6.94962e10	−	5.83142e10i	−1.49371	−	1.25337i
$137$	−2.19084e10	−	4.69827e10i	−0.453950	−	0.973498i	−0.991481	−	0.130254i	$-0.958421\pi$
$137$	−2.19084e10	−	4.69827e10i	−0.453950	−	0.973498i	0.537531	−	0.843244i	$-0.319357\pi$
$138$	−1.72982e10	+	3.70961e10i	−0.345625	+	0.741195i
$139$	1.91314e10	+	2.27999e10i	0.368700	+	0.439399i	0.918214	−	0.396085i	$-0.129632\pi$
$139$	1.91314e10	+	2.27999e10i	0.368700	+	0.439399i	−0.549514	+	0.835484i	$0.685187\pi$
$140$	3.16776e9	+	7.34469e10i	0.0588996	+	1.36563i
$141$	−6.56767e9	+	1.13755e10i	−0.117846	+	0.204116i
$142$	5.90353e9	−	8.43111e9i	0.102252	−	0.146030i
$143$	3.66512e9	+	2.56634e9i	0.0612926	+	0.0429175i
$144$	4.41133e10	+	2.54688e10i	0.712454	+	0.411336i
$145$	−1.79965e10	−	1.65083e10i	−0.280769	−	0.257551i
$146$	5.73575e9	−	4.81286e9i	0.0864621	−	0.0725503i
$147$	1.06427e10	+	4.96276e9i	0.155047	+	0.0722998i
$148$	−1.40582e11	+	6.55547e10i	−1.97981	+	0.923198i
$149$	2.74456e10	−	3.27083e10i	0.373715	−	0.445376i	−0.546105	−	0.837717i	$-0.683890\pi$
$149$	2.74456e10	−	3.27083e10i	0.373715	−	0.445376i	0.919820	+	0.392340i	$0.128334\pi$
$150$	−1.81504e10	−	3.90316e10i	−0.239017	−	0.513996i
$151$	6.21994e10			0.792321			0.396161	−	0.918181i	$-0.370342\pi$
$151$	6.21994e10			0.792321			0.396161	+	0.918181i	$0.370342\pi$
$152$	−6.45355e10	+	1.20014e11i	−0.795391	+	1.47916i
$153$	6.13943e10	−	6.13943e10i	0.732270	−	0.732270i
$154$	9.03778e10	+	1.59360e10i	1.04342	+	0.183983i
$155$	−1.74774e10	+	4.21311e10i	−0.195352	+	0.470916i
$156$	−4.75064e9	−	1.72909e9i	−0.0514197	−	0.0187152i
$157$	−1.36769e11	−	6.37765e10i	−1.43380	−	0.668594i	−0.458344	−	0.888775i	$-0.651557\pi$
$157$	−1.36769e11	−	6.37765e10i	−1.43380	−	0.668594i	−0.975459	+	0.220181i	$0.929335\pi$
$158$	1.55303e9	−	1.77512e10i	0.0157723	−	0.180278i
$159$	7.51243e9	−	4.33731e9i	0.0739256	−	0.0426810i
$160$	−5.00479e9	−	7.86514e9i	−0.0477294	−	0.0750079i
$161$	1.87673e10	+	1.06435e11i	0.173490	+	0.983908i
$162$	−7.58788e10	+	1.08366e11i	−0.680057	+	0.971222i
$163$	−5.22284e10	−	1.94919e11i	−0.453909	−	1.69401i	−0.691276	−	0.722591i	$-0.742951\pi$
$163$	−5.22284e10	−	1.94919e11i	−0.453909	−	1.69401i	0.237367	−	0.971420i	$-0.423716\pi$
$164$	−8.87413e9	+	5.12348e9i	−0.0748008	+	0.0431863i
$165$	−3.48248e10	+	7.70112e9i	−0.284754	+	0.0629700i
$166$	2.89153e11	−	1.05243e11i	2.29397	−	0.834937i
$167$	4.86136e10	+	1.04252e11i	0.374261	+	0.802606i	0.999750	+	0.0223727i	$0.00712203\pi$
$167$	4.86136e10	+	1.04252e11i	0.374261	+	0.802606i	−0.625488	+	0.780234i	$0.715100\pi$
$168$	−5.09662e10	+	4.45897e9i	−0.380834	+	0.0333187i
$169$	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
$173$	−5.96756e10	−	8.52256e10i	−0.385094	−	0.549971i	0.579070	−	0.815278i	$-0.303416\pi$
$173$	−5.96756e10	−	8.52256e10i	−0.385094	−	0.549971i	−0.964164	+	0.265307i	$0.914527\pi$
$174$	2.21418e10	−	2.63875e10i	0.138825	−	0.165445i
$175$	−9.83718e10	−	5.69341e10i	−0.599350	−	0.346883i
$176$	1.29856e11	−	4.72638e10i	0.768952	−	0.279876i
$177$	−5.39265e10	−	4.71796e9i	−0.310410	−	0.0271574i
$178$	4.23960e11	+	1.13600e11i	2.37260	+	0.635737i
$179$	−1.75936e11	−	1.01577e11i	−0.957391	−	0.552750i	−0.0620221	−	0.998075i	$-0.519755\pi$
$179$	−1.75936e11	−	1.01577e11i	−0.957391	−	0.552750i	−0.895369	+	0.445325i	$0.853088\pi$
$180$	−2.95171e11	+	1.53458e11i	−1.56211	+	0.812130i
$181$	−4.03495e10	−	2.28833e11i	−0.207704	−	1.17795i	−0.893128	−	0.449803i	$-0.851494\pi$
$181$	−4.03495e10	−	2.28833e11i	−0.207704	−	1.17795i	0.685424	−	0.728144i	$-0.259617\pi$
$182$	−1.94264e10	+	5.20530e9i	−0.0972828	+	0.0260668i
$183$	1.02462e11	+	2.74547e10i	0.499238	+	0.133771i
$184$	3.28482e11	+	3.91470e11i	1.55748	+	1.85613i
$185$	3.14287e10	−	2.37751e11i	0.145033	−	1.09714i
$186$	−6.04567e10	−	2.20044e10i	−0.271569	−	0.0988429i
$187$	−2.05295e10	−	2.34653e11i	−0.0897779	−	1.02617i
$188$	1.90651e11	+	2.72278e11i	0.811802	+	1.15937i
$189$		−	1.03859e11i		−	0.430660i
$190$	−2.08326e11	−	3.72735e11i	−0.841346	−	1.50533i
$191$	2.43609e11			0.958355			0.479178	−	0.877718i	$-0.340935\pi$
$191$	2.43609e11			0.958355			0.479178	+	0.877718i	$0.340935\pi$
$192$	7.55697e10	−	5.29144e10i	0.289629	−	0.202800i
$193$	1.63721e9	−	1.43237e8i	0.00611390	−	0.000534897i	−0.0840984	−	0.996457i	$-0.526801\pi$
$193$	1.63721e9	−	1.43237e8i	0.00611390	−	0.000534897i	0.0902123	+	0.995923i	$0.471245\pi$
$194$	−1.65040e11	+	4.53445e11i	−0.600595	+	1.65012i
$195$	6.20353e9	−	4.75491e9i	0.0220022	−	0.0168643i
$196$	2.27633e11	−	1.91007e11i	0.786966	−	0.660342i
$197$	−9.06747e10	+	3.38403e11i	−0.305601	+	1.14052i	0.626826	+	0.779160i	$0.284354\pi$
$197$	−9.06747e10	+	3.38403e11i	−0.305601	+	1.14052i	−0.932427	+	0.361359i	$0.882313\pi$
$198$	1.07487e11	+	4.01146e11i	0.353206	+	1.31818i
$199$	−2.45036e11	+	4.32064e10i	−0.785170	+	0.138447i	−0.551839	−	0.833951i	$-0.686074\pi$
$199$	−2.45036e11	+	4.32064e10i	−0.785170	+	0.138447i	−0.233331	+	0.972397i	$0.574963\pi$
$200$	−5.37425e11	−	5.69710e8i	−1.67945	−	0.00178034i
$201$	1.75350e10	−	3.03715e10i	0.0534472	−	0.0925732i
$202$	1.12385e10	−	4.19428e10i	0.0334159	−	0.124710i
$203$	7.92723e9	−	9.06086e10i	0.0229954	−	0.262839i
$204$	9.10282e10	+	2.50098e11i	0.257647	+	0.707880i
$205$	6.99430e8	−	1.58271e10i	0.00193186	−	0.0437151i
$206$	−9.32837e11	−	7.82743e11i	−2.51460	−	2.11000i
$207$	−4.00631e11	+	2.80525e11i	−1.05413	+	0.738108i
$208$	−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	−0.868804	−	0.495157i	$-0.835111\pi$
$211$	4.89152e10	−	2.77412e11i	0.116958	−	0.663304i	0.985762	−	0.168147i	$-0.0537783\pi$
$212$	−1.91317e10	−	2.18676e11i	−0.0446759	−	0.510648i
$213$	−1.35020e10	+	6.29609e9i	−0.0307964	+	0.0143606i
$214$	1.76220e11	+	4.84159e11i	0.392632	+	1.07875i
$215$	−7.62295e11	+	1.68573e11i	−1.65932	+	0.366940i
$216$	−2.45541e11	−	4.25290e11i	−0.522223	−	0.904517i
$217$	−1.64090e11	+	4.39678e10i	−0.341023	+	0.0913768i
$218$	8.55409e11	+	5.98964e11i	1.73737	+	1.21652i
$219$	−1.06731e10	+	1.88195e9i	−0.0211870	+	0.00373584i
$220$	−1.95811e11	+	8.81036e11i	−0.379948	+	1.70954i
$221$	2.58101e10	+	4.47045e10i	0.0489586	+	0.0847988i
$222$	3.36980e11	+	2.94820e10i	0.624942	+	0.0546753i
$223$	1.42393e11	−	3.05364e11i	0.258206	−	0.553724i	−0.733881	−	0.679278i	$-0.762293\pi$
$223$	1.42393e11	−	3.05364e11i	0.258206	−	0.553724i	0.992087	+	0.125554i	$0.0400709\pi$
$224$	1.18751e10	−	3.26267e10i	0.0210571	−	0.0578539i
$225$	4.53712e10	−	5.12340e11i	0.0786806	−	0.888475i
$226$	−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	$0.614680\pi$
$228$	3.40007e11	−	2.10253e11i	0.551841	−	0.341246i
$229$		−	7.73140e10i		−	0.122767i	−0.998114	−	0.0613834i	$-0.980449\pi$
$229$		−	7.73140e10i		−	0.122767i	0.998114	−	0.0613834i	$-0.0195512\pi$
$230$	−1.58777e12	+	2.08177e11i	−2.46688	+	0.323441i
$231$	−1.01758e11	−	8.53847e10i	−0.154706	−	0.129814i
$232$	−1.81754e11	−	3.89774e11i	−0.270424	−	0.579926i
$233$	−2.42971e10	+	5.21054e10i	−0.0353814	+	0.0758758i	−0.923204	−	0.384310i	$-0.874439\pi$
$233$	−2.42971e10	+	5.21054e10i	−0.0353814	+	0.0758758i	0.887823	+	0.460186i	$0.152217\pi$
$234$	−5.85012e10	−	6.97190e10i	−0.0833845	−	0.0993738i
$235$	−5.13421e11	+	2.21438e10i	−0.716364	+	0.0308967i
$236$	−6.84912e11	+	1.18630e12i	−0.935566	+	1.62045i
$237$	−1.47937e10	+	2.11276e10i	−0.0197850	+	0.0282559i
$238$	8.67305e11	+	6.07293e11i	1.13576	+	0.795268i
$239$	8.73083e11	+	5.04075e11i	1.11961	+	0.646406i	0.941301	−	0.337569i	$-0.109605\pi$
$239$	8.73083e11	+	5.04075e11i	1.11961	+	0.646406i	0.178307	+	0.983975i	$0.442938\pi$
$240$	−1.04022e10	−	2.41182e11i	−0.0130637	−	0.302893i
$241$	7.03692e11	−	5.90468e11i	0.865561	−	0.726292i	−0.0975980	−	0.995226i	$-0.531116\pi$
$241$	7.03692e11	−	5.90468e11i	0.865561	−	0.726292i	0.963158	+	0.268934i	$0.0866715\pi$
$242$	−2.76113e11	−	1.28754e11i	−0.332668	−	0.155126i
$243$	6.51100e11	−	3.03613e11i	0.768451	−	0.358335i
$244$	1.72542e12	−	2.05627e12i	1.99501	−	2.37756i
$245$	5.97251e10	+	4.55523e11i	0.0676591	+	0.516035i
$246$	2.23460e10			0.0248042
$247$	5.78622e10	−	5.16108e10i	0.0629376	−	0.0561379i
$248$	−5.67983e11	+	5.67983e11i	−0.605448	+	0.605448i
$249$	−4.38628e11	−	7.73420e10i	−0.458247	−	0.0808013i
$250$	9.07111e11	−	1.41890e12i	0.928882	−	1.45295i
$251$	−4.82693e11	−	1.75686e11i	−0.484509	−	0.176347i	0.0882044	−	0.996102i	$-0.471887\pi$
$251$	−4.82693e11	−	1.75686e11i	−0.484509	−	0.176347i	−0.572714	+	0.819755i	$0.694109\pi$
$252$	−1.12294e12	−	5.23636e11i	−1.10498	−	0.515261i
$253$	−1.15642e11	+	1.32179e12i	−0.111561	+	1.27515i
$254$	1.31942e12	−	7.61769e11i	1.24800	−	0.720534i
$255$	−4.01683e11	−	8.92745e10i	−0.372549	−	0.0827992i
$256$	−3.76105e11	−	2.13300e12i	−0.342066	−	1.93995i
$257$	7.30276e10	−	1.04294e11i	0.0651361	−	0.0930240i	−0.785262	−	0.619163i	$-0.787472\pi$
$257$	7.30276e10	−	1.04294e11i	0.0651361	−	0.0930240i	0.850399	+	0.526139i	$0.176361\pi$
$258$	−2.85012e11	−	1.06368e12i	−0.249324	−	0.930490i
$259$	7.73519e11	−	4.46592e11i	0.663701	−	0.383188i
$260$	−4.27070e10	−	1.93123e11i	−0.0359445	−	0.162543i
$261$	3.86775e11	−	1.40775e11i	0.319342	−	0.116231i
$262$	1.17723e12	+	2.52457e12i	0.953572	+	2.04494i
$263$	−1.09619e12	+	9.59038e10i	−0.871175	+	0.0762179i	−0.513970	−	0.857808i	$-0.671826\pi$
$263$	−1.09619e12	+	9.59038e10i	−0.871175	+	0.0762179i	−0.357205	+	0.934026i	$0.616270\pi$
$264$	−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
$268$	−5.09018e11	−	7.26953e11i	−0.368179	−	0.525814i
$269$	−4.69979e11	+	5.60100e11i	−0.333670	+	0.397653i	−0.906627	−	0.421933i	$-0.861352\pi$
$269$	−4.69979e11	+	5.60100e11i	−0.333670	+	0.397653i	0.572957	+	0.819586i	$0.305796\pi$
$270$	1.53736e12	+	6.79389e10i	1.07141	+	0.0473478i
$271$	1.41622e12	−	5.15462e11i	0.968913	−	0.352655i	0.191393	−	0.981514i	$-0.438700\pi$
$271$	1.41622e12	−	5.15462e11i	0.968913	−	0.352655i	0.777520	+	0.628858i	$0.216477\pi$
$272$	1.58825e12	+	1.38954e11i	1.06678	+	0.0933309i
$273$	2.81187e10	+	7.53439e9i	0.0185431	+	0.00496861i
$274$	2.47745e12	+	1.43036e12i	1.60418	+	0.926171i
$275$	−9.85636e11	−	9.87728e11i	−0.626690	−	0.628020i
$276$	−2.60335e11	−	1.47643e12i	−0.162550	−	0.921866i
$277$	−8.90356e11	+	2.38570e11i	−0.545965	+	0.146291i	−0.521251	−	0.853404i	$-0.674534\pi$
$277$	−8.90356e11	+	2.38570e11i	−0.545965	+	0.146291i	−0.0247145	+	0.999695i	$0.507868\pi$
$278$	−1.58648e12	−	4.25096e11i	−0.955456	−	0.256014i
$279$	−4.94145e11	−	5.88899e11i	−0.292303	−	0.348353i
$280$	−1.21765e12	−	1.58861e12i	−0.707507	−	0.923054i
$281$	−2.50429e12	−	9.11488e11i	−1.42940	−	0.520259i	−0.492640	−	0.870233i	$-0.663968\pi$
$281$	−2.50429e12	−	9.11488e11i	−1.42940	−	0.520259i	−0.936759	+	0.349975i	$0.886190\pi$
$282$	−6.31755e10	−	7.22100e11i	−0.0354245	−	0.404904i
$283$	−6.69165e11	−	9.55666e11i	−0.368639	−	0.526471i	0.591385	−	0.806389i	$-0.298581\pi$
$283$	−6.69165e11	−	9.55666e11i	−0.368639	−	0.526471i	−0.960024	+	0.279919i	$0.909692\pi$
$284$			3.76990e11i			0.204051i
$285$	−8.61520e9	+	6.18002e11i	−0.00458185	+	0.328674i
$286$	−2.46908e11			−0.129034
$287$	4.83331e10	−	3.38432e10i	0.0248219	−	0.0173805i
$288$	1.56523e11	−	1.36940e10i	0.0789981	−	0.00691144i
$289$	2.39948e11	−	6.59251e11i	0.119022	−	0.327011i
$290$	1.33604e12	+	1.76613e11i	0.651372	+	0.0861060i
$291$	5.35051e11	−	4.48961e11i	0.256407	−	0.215151i
$292$	−7.09809e10	+	2.64904e11i	−0.0334370	+	0.124789i
$293$	7.31453e11	+	2.72982e12i	0.338726	+	1.26414i	0.899773	+	0.436358i	$0.143732\pi$
$293$	7.31453e11	+	2.72982e12i	0.338726	+	1.26414i	−0.561047	+	0.827784i	$0.689601\pi$
$294$	−6.38173e11	+	1.12527e11i	−0.290537	+	0.0512296i
$295$	−9.76915e11	−	1.87907e12i	−0.437267	−	0.841070i
$296$	2.11165e12	−	3.65749e12i	0.929316	−	1.60962i
$297$	3.30009e11	−	1.23161e12i	0.142805	−	0.532955i
$298$	−2.05358e11	+	2.34726e12i	−0.0873838	+	0.998802i
$299$	−9.94510e10	−	2.73239e11i	−0.0416153	−	0.114337i
$300$	1.36458e12	+	7.89772e11i	0.561557	+	0.325009i
$301$	−2.22741e12	−	1.86902e12i	−0.901505	−	0.756453i
$302$	−2.81166e12	+	1.96874e12i	−1.11925	+	0.783708i
$303$	−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
$307$	4.02105e11	+	4.59608e12i	0.147451	+	1.68537i	0.605031	+	0.796202i	$0.293161\pi$
$307$	4.02105e11	+	4.59608e12i	0.147451	+	1.68537i	−0.457580	+	0.889168i	$0.651284\pi$
$308$	−3.04646e12	+	1.42059e12i	−1.09911	+	0.512524i
$309$	6.02845e11	+	1.65630e12i	0.214000	+	0.587960i
$310$	−5.43490e11	−	2.45769e12i	−0.189838	−	0.858456i
$311$	2.97658e11	+	5.15559e11i	0.102309	+	0.177205i	0.912636	−	0.408774i	$-0.134043\pi$
$311$	2.97658e11	+	5.15559e11i	0.102309	+	0.177205i	−0.810326	+	0.585979i	$0.800710\pi$
$312$	1.32956e11	−	3.56254e10i	0.0449712	−	0.0120500i
$313$	7.65908e10	+	5.36295e10i	0.0254950	+	0.0178518i	0.586254	−	0.810127i	$-0.300602\pi$
$313$	7.65908e10	+	5.36295e10i	0.0254950	+	0.0178518i	−0.560759	+	0.827979i	$0.689491\pi$
$314$	8.20116e12	−	1.44609e12i	2.68675	−	0.473746i
$315$	1.61617e12	−	1.02841e12i	0.521115	−	0.331599i
$316$	3.26334e11	+	5.65228e11i	0.103568	+	0.179386i
$317$	6.07933e12	+	5.31872e11i	1.89915	+	0.166154i	0.975925	−	0.218106i	$-0.0699878\pi$
$317$	6.07933e12	+	5.31872e11i	1.89915	+	0.166154i	0.923225	+	0.384260i	$0.125543\pi$
$318$	−2.02307e11	+	4.33848e11i	−0.0622120	+	0.133414i
$319$	3.81912e11	−	1.04929e12i	0.115614	−	0.317646i
$320$	3.33379e12	+	1.38297e12i	0.993548	+	0.412158i
$321$	1.29502e11	−	7.34440e11i	0.0379971	−	0.215492i
$322$	−4.21725e12	−	4.21725e12i	−1.21829	−	1.21829i
$323$	−4.03942e12	−	5.87006e11i	−1.14896	−	0.166967i
$324$		−	4.84550e12i		−	1.35710i
$325$	2.87243e11	+	1.04893e11i	0.0792196	+	0.0289287i
$326$	8.53053e12	+	7.15797e12i	2.31680	+	1.94402i
$327$	−6.38793e11	−	1.36990e12i	−0.170852	−	0.366394i
$328$	1.17907e11	−	2.52853e11i	0.0310578	−	0.0666037i
$329$	−1.23027e12	−	1.46618e12i	−0.319169	−	0.380371i
$330$	1.33046e12	−	1.45040e12i	0.339964	−	0.370611i
$331$	3.24374e12	−	5.61832e12i	0.816406	−	1.41406i	−0.0919077	−	0.995768i	$-0.529296\pi$
$331$	3.24374e12	−	5.61832e12i	0.816406	−	1.41406i	0.908314	−	0.418289i	$-0.137370\pi$
$332$	−6.46462e12	+	9.23243e12i	−1.60270	+	2.28889i
$333$	3.31095e12	+	2.31835e12i	0.808596	+	0.566185i
$334$	−5.49733e12	−	3.17388e12i	−1.32257	−	0.763587i
$335$	1.37078e12	−	5.91215e10i	0.324895	−	0.0140127i
$336$	6.88746e11	−	5.77927e11i	0.160828	−	0.134951i
$337$	−6.92149e12	−	3.22755e12i	−1.59239	−	0.742545i	−0.594299	−	0.804245i	$-0.702570\pi$
$337$	−6.92149e12	−	3.22755e12i	−1.59239	−	0.742545i	−0.998095	+	0.0616993i	$0.980348\pi$
$338$	−6.84575e12	+	3.19223e12i	−1.55181	+	0.723619i
$339$	3.30172e11	−	3.93483e11i	0.0737465	−	0.0878877i
$340$	−6.34318e12	+	8.25753e12i	−1.39609	+	1.81742i
$341$	−2.08557e12			−0.452327
$342$	7.19342e12	−	2.17479e11i	1.53746	−	0.0464821i
$343$	−3.53463e12	+	3.53463e12i	−0.744516	+	0.744516i
$344$	−1.35397e13	−	2.38742e12i	−2.81072	−	0.495606i
$345$	2.14097e12	+	8.88149e11i	0.438041	+	0.181715i
$346$	5.39515e12	+	1.96367e12i	1.08798	+	0.395994i
$347$	3.54379e12	+	1.65250e12i	0.704403	+	0.328468i	0.741603	−	0.670839i	$-0.234066\pi$
$347$	3.54379e12	+	1.65250e12i	0.704403	+	0.328468i	−0.0371999	+	0.999308i	$0.511844\pi$
$348$	−1.09964e11	+	1.25689e12i	−0.0215454	+	0.246265i
$349$	−5.62471e12	+	3.24743e12i	−1.08636	+	0.627209i	−0.932604	−	0.360901i	$-0.882469\pi$
$349$	−5.62471e12	+	3.24743e12i	−1.08636	+	0.627209i	−0.153753	+	0.988109i	$0.549136\pi$
$350$	6.24888e12	−	5.40032e11i	1.18977	−	0.102820i
$351$	4.85220e10	+	2.75182e11i	0.00910758	+	0.0516516i
$352$	2.44492e11	−	3.49171e11i	0.0452430	−	0.0646137i
$353$	1.61219e12	+	6.01676e12i	0.294132	+	1.09771i	0.941905	+	0.335881i	$0.109034\pi$
$353$	1.61219e12	+	6.01676e12i	0.294132	+	1.09771i	−0.647773	+	0.761833i	$0.724299\pi$
$354$	2.58702e12	−	1.49362e12i	0.465355	−	0.268673i
$355$	−4.91407e11	−	3.13427e11i	−0.0871564	−	0.0555897i
$356$	−1.51069e13	+	5.49848e12i	−2.64196	+	0.961596i
$357$	−6.47676e11	−	1.38895e12i	−0.111691	−	0.239521i
$358$	1.11681e13	−	9.77084e11i	1.89917	−	0.166156i
$359$	−9.93784e11	−	1.75231e11i	−0.166655	−	0.0293859i	0.0896977	−	0.995969i	$-0.471410\pi$
$359$	−9.93784e11	−	1.75231e11i	−0.166655	−	0.0293859i	−0.256353	+	0.966583i	$0.582521\pi$
$360$	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
$363$	2.52933e11	+	3.61226e11i	0.0401303	+	0.0573120i
$364$	4.73507e11	−	5.64303e11i	0.0741001	−	0.0883091i
$365$	−2.86290e11	−	3.12763e11i	−0.0441918	−	0.0482783i
$366$	−5.50069e12	+	2.00209e12i	−0.837552	+	0.304844i
$367$	3.71616e11	+	3.25122e10i	0.0558167	+	0.00488333i	0.115030	−	0.993362i	$-0.463304\pi$
$367$	3.71616e11	+	3.25122e10i	0.0558167	+	0.00488333i	−0.0592132	+	0.998245i	$0.518859\pi$
$368$	−8.67471e12	−	2.32438e12i	−1.28533	−	0.344404i
$369$	2.31238e11	+	1.33505e11i	0.0338008	+	0.0195149i
$370$	6.10463e12	+	1.17421e13i	0.880340	+	1.69331i
$371$	2.19489e11	+	1.24478e12i	0.0312279	+	0.177102i
$372$	2.27621e12	−	6.09907e11i	0.319519	−	0.0856149i
$373$	−9.08784e12	−	2.43508e12i	−1.25868	−	0.337263i	−0.432998	−	0.901395i	$-0.642544\pi$
$373$	−9.08784e12	−	2.43508e12i	−1.25868	−	0.337263i	−0.825685	+	0.564132i	$0.809211\pi$
$374$	8.35527e12	+	9.95743e12i	1.14183	+	1.36078i
$375$	−2.16397e12	+	1.12212e12i	−0.291807	+	0.151316i
$376$	−8.50414e12	−	3.09526e12i	−1.13160	−	0.411867i
$377$	2.13278e10	+	2.43778e11i	0.00280052	+	0.0320101i
$378$	3.28735e12	+	4.69483e12i	0.425978	+	0.608360i
$379$			1.41858e13i			1.81409i	0.421032	+	0.907046i	$0.361668\pi$
$379$			1.41858e13i			1.81409i	−0.421032	+	0.907046i	$0.638332\pi$
$380$	1.40812e13	+	6.80672e12i	1.77714	+	0.859054i
$381$	−2.20524e12			−0.274682
$382$	−1.10121e13	+	7.71075e12i	−1.35379	+	0.947937i
$383$	−1.43927e13	+	1.25920e12i	−1.74642	+	0.152792i	−0.915162	−	0.403087i	$-0.867937\pi$
$383$	−1.43927e13	+	1.25920e12i	−1.74642	+	0.152792i	−0.831263	+	0.555879i	$0.812382\pi$
$384$	−1.65774e12	+	4.55460e12i	−0.198545	+	0.545499i
$385$	6.81069e11	−	5.15213e12i	0.0805170	−	0.609092i
$386$	−6.94746e10	+	5.82961e10i	−0.00810755	+	0.00680304i
$387$	3.40558e12	−	1.27098e13i	0.392316	−	1.46414i
$388$	−4.57450e12	−	1.70723e13i	−0.520218	−	1.94148i
$389$	−1.29494e13	+	2.28333e12i	−1.45379	+	0.256343i	−0.844054	−	0.536259i	$-0.819837\pi$
$389$	−1.29494e13	+	2.28333e12i	−1.45379	+	0.256343i	−0.609740	+	0.792602i	$0.708726\pi$
$390$	−1.29921e11	+	4.11296e11i	−0.0143998	+	0.0455860i
$391$	−7.65395e12	+	1.32570e13i	−0.837532	+	1.45065i
$392$	−2.09399e12	+	7.81489e12i	−0.226227	+	0.844291i
$393$	3.51407e11	−	4.01660e12i	0.0374841	−	0.428445i
$394$	−6.61231e12	−	1.81672e13i	−0.696422	−	1.91340i
$395$	−1.00809e12	−	4.45494e10i	−0.104837	−	0.00463294i
$396$	−1.16526e13	−	9.77766e12i	−1.19659	−	1.00406i
$397$	−4.30022e12	+	3.01104e12i	−0.436052	+	0.305327i	−0.770913	−	0.636941i	$-0.780200\pi$
$397$	−4.30022e12	+	3.01104e12i	−0.436052	+	0.305327i	0.334861	+	0.942268i	$0.391311\pi$
$398$	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	−0.965497	−	0.260416i	$-0.916140\pi$
$401$	3.19778e11	−	1.81355e12i	0.0308409	−	0.174908i	0.996337	+	0.0855084i	$0.0272514\pi$
$402$	1.68672e11	+	1.92793e12i	0.0160662	+	0.183637i
$403$	4.14228e11	−	1.93158e11i	0.0389685	−	0.0181713i
$404$	5.43970e11	+	1.49455e12i	0.0505438	+	0.138868i
$405$	6.31611e12	+	4.02851e12i	0.579662	+	0.369717i
$406$	2.50961e12	+	4.34678e12i	0.227498	+	0.394037i
$407$	1.05918e13	−	2.83807e12i	0.948415	−	0.254127i
$408$	−5.93589e12	−	4.15635e12i	−0.525031	−	0.367631i
$409$	7.90407e12	−	1.39370e12i	0.690612	−	0.121774i	0.182682	−	0.983172i	$-0.441522\pi$
$409$	7.90407e12	−	1.39370e12i	0.690612	−	0.121774i	0.507930	+	0.861398i	$0.330411\pi$
$410$	4.69344e11	+	7.37584e11i	0.0405109	+	0.0636638i
$411$	−2.07036e12	−	3.58597e12i	−0.176538	−	0.305772i
$412$	4.44330e13	+	3.88738e12i	3.74299	+	0.327470i
$413$	3.33348e12	−	7.14867e12i	0.277426	−	0.594943i
$414$	9.23090e12	−	2.53617e13i	0.759001	−	2.08534i
$415$	−6.65985e12	−	1.61024e13i	−0.541033	−	1.30813i
$416$	−1.62212e10	+	9.19948e10i	−0.00130201	+	0.00738409i
$417$	1.68104e12	+	1.68104e12i	0.133321	+	0.133321i
$418$	1.20922e13	−	1.53288e13i	0.947596	−	1.20123i
$419$			6.89766e12i			0.534111i	0.963681	+	0.267056i	$0.0860508\pi$
$419$			6.89766e12i			0.534111i	−0.963681	+	0.267056i	$0.913949\pi$
$420$	7.63374e11	+	5.82224e12i	0.0584105	+	0.445496i
$421$	1.34984e13	+	1.13265e13i	1.02064	+	0.856419i	0.989708	−	0.143102i	$-0.0457078\pi$
$421$	1.34984e13	+	1.13265e13i	1.02064	+	0.856419i	0.0309327	+	0.999521i	$0.490152\pi$
$422$	6.56952e12	+	1.40884e13i	0.490875	+	1.05269i
$423$	3.66041e12	−	7.84977e12i	0.270288	−	0.579635i
$424$	3.84168e12	+	4.57834e12i	0.280344	+	0.334101i
$425$	−5.49002e12	−	1.51336e13i	−0.395940	−	1.09143i
$426$	4.11060e11	−	7.11976e11i	0.0292993	−	0.0507478i
$427$	−8.86549e12	+	1.26612e13i	−0.624545	+	0.891942i
$428$	−1.54588e13	−	1.08244e13i	−1.07636	−	0.753675i
$429$	3.09505e11	+	1.78693e11i	0.0213001	+	0.0122976i
$430$	2.91230e13	−	3.17484e13i	1.98105	−	2.15963i
$431$	2.27223e12	−	1.90662e12i	0.152780	−	0.128197i	−0.563194	−	0.826325i	$-0.690428\pi$
$431$	2.27223e12	−	1.90662e12i	0.152780	−	0.128197i	0.715973	+	0.698128i	$0.245983\pi$
$432$	7.82163e12	+	3.64729e12i	0.519851	+	0.242410i
$433$	7.05245e12	−	3.28861e12i	0.463341	−	0.216059i	−0.176907	−	0.984228i	$-0.556609\pi$
$433$	7.05245e12	−	3.28861e12i	0.463341	−	0.216059i	0.640248	+	0.768168i	$0.278831\pi$
$434$	6.02584e12	−	7.18132e12i	0.391354	−	0.466397i
$435$	−1.54694e12	−	1.18831e12i	−0.0993178	−	0.0762929i
$436$	−3.82489e13			−2.42765
$437$	2.18341e13	+	7.20753e12i	1.37002	+	0.452251i
$438$	4.22898e11	−	4.22898e11i	0.0262340	−	0.0262340i
$439$	7.69651e11	+	1.35710e11i	0.0472032	+	0.00832319i	0.197200	−	0.980363i	$-0.436815\pi$
$439$	7.69651e11	+	1.35710e11i	0.0472032	+	0.00832319i	−0.149997	+	0.988686i	$0.547926\pi$
$440$	−9.39169e12	−	2.27076e13i	−0.569482	−	1.37692i
$441$	−7.27614e12	−	2.64830e12i	−0.436222	−	0.158772i
$442$	−2.58171e12	−	1.20387e12i	−0.153037	−	0.0713623i
$443$	2.23847e12	−	2.55859e13i	0.131200	−	1.49962i	−0.590287	−	0.807193i	$-0.700985\pi$
$443$	2.23847e12	−	2.55859e13i	0.131200	−	1.49962i	0.721487	−	0.692428i	$-0.243459\pi$
$444$	−1.07300e13	+	6.19498e12i	−0.621850	+	0.359025i
$445$	5.39254e12	−	2.42633e13i	0.309025	−	1.39043i
$446$	3.22867e12	+	1.83107e13i	0.182957	+	1.03760i
$447$	1.95619e12	−	2.79372e12i	0.109616	−	0.156547i
$448$	3.47913e12	+	1.29843e13i	0.192788	+	0.719496i
$449$	1.05480e13	−	6.08988e12i	0.578014	−	0.333716i	−0.182330	−	0.983237i	$-0.558364\pi$
$449$	1.05480e13	−	6.08988e12i	0.578014	−	0.333716i	0.760344	+	0.649521i	$0.225031\pi$
$450$	1.41657e13	+	2.45959e13i	0.767671	+	1.33291i
$451$	6.80694e11	−	2.47752e11i	0.0364812	−	0.0132781i
$452$	−5.49323e12	−	1.17803e13i	−0.291162	−	0.624400i
$453$	4.94931e12	−	4.33008e11i	0.259450	−	0.0226989i
$454$	−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	$0.777981\pi$
$458$	2.44715e12	+	3.49490e12i	0.121432	+	0.173423i
$459$	9.45570e12	−	1.12689e13i	0.464120	−	0.553117i
$460$	4.32652e13	−	3.96031e13i	2.10063	−	1.92283i
$461$	−9.53838e12	+	3.47168e12i	−0.458110	+	0.166738i	−0.560759	−	0.827979i	$-0.689490\pi$
$461$	−9.53838e12	+	3.47168e12i	−0.458110	+	0.166738i	0.102649	+	0.994718i	$0.467268\pi$
$462$	7.30245e12	+	6.38882e11i	0.346944	+	0.0303536i
$463$	−9.86870e12	−	2.64431e12i	−0.463826	−	0.124282i	0.0193357	−	0.999813i	$-0.493845\pi$
$463$	−9.86870e12	−	2.64431e12i	−0.463826	−	0.124282i	−0.483161	+	0.875531i	$0.660512\pi$
$464$	6.54537e12	+	3.77897e12i	0.304330	+	0.175705i
$465$	−1.09741e12	+	3.47411e12i	−0.0504781	+	0.159801i
$466$	−5.50921e11	−	3.12443e12i	−0.0250703	−	0.142181i
$467$	−2.89248e13	+	7.75036e12i	−1.30222	+	0.348930i	−0.842290	−	0.539024i	$-0.818793\pi$
$467$	−2.89248e13	+	7.75036e12i	−1.30222	+	0.348930i	−0.459933	+	0.887954i	$0.652126\pi$
$468$	3.21996e12	+	8.62785e11i	0.143424	+	0.0384303i
$469$	3.28469e12	+	3.91454e12i	0.144754	+	0.172511i
$470$	2.25077e13	−	1.72519e13i	0.981392	−	0.752223i
$471$	−1.13269e13	−	4.12267e12i	−0.488661	−	0.177858i
$472$	−3.25055e12	−	3.71540e13i	−0.138755	−	1.58597i
$473$	−2.04750e13	−	2.92413e13i	−0.864805	−	1.23507i
$474$		−	1.42331e12i		−	0.0594848i
$475$	−2.05796e13	+	1.26958e13i	−0.851077	+	0.525040i
$476$	−3.87808e13			−1.58702
$477$	−4.68548e12	+	3.28081e12i	−0.189742	+	0.132858i
$478$	−5.54218e13	+	4.84878e12i	−2.22096	+	0.194309i
$479$	−8.97214e12	+	2.46507e13i	−0.355810	+	0.977580i	0.624657	+	0.780899i	$0.285239\pi$
$479$	−8.97214e12	+	2.46507e13i	−0.355810	+	0.977580i	−0.980467	+	0.196681i	$0.936984\pi$
$480$	−4.52994e11	−	5.91001e11i	−0.0177781	−	0.0231943i
$481$	−1.84085e12	+	1.54466e12i	−0.0714980	+	0.0599940i
$482$	−1.31201e13	+	4.89648e13i	−0.504315	+	1.88213i
$483$	2.23431e12	+	8.33855e12i	0.0849977	+	0.317216i
$484$	1.09894e13	−	1.93772e12i	0.413757	−	0.0729566i
$485$	2.60570e13	+	8.23091e12i	0.970991	+	0.306718i
$486$	−1.98223e13	+	3.43332e13i	−0.731093	+	1.26629i
$487$	−1.84085e12	+	6.87014e12i	−0.0672006	+	0.250796i	−0.991352	−	0.131231i	$-0.958107\pi$
$487$	−1.84085e12	+	6.87014e12i	−0.0672006	+	0.250796i	0.924151	+	0.382027i	$0.124774\pi$
$488$	−6.36971e12	+	7.28061e13i	−0.230155	+	2.63068i
$489$	−5.51285e12	−	1.51464e13i	−0.197166	−	0.541709i
$490$	−1.71181e13	−	1.87010e13i	−0.606003	−	0.662040i
$491$	−2.81296e13	−	2.36036e13i	−0.985727	−	0.827123i	−0.000783665	−	1.00000i	$-0.500249\pi$
$491$	−2.81296e13	−	2.36036e13i	−0.985727	−	0.827123i	−0.984944	+	0.172876i	$0.944694\pi$
$492$	−6.70462e11	+	4.69462e11i	−0.0232567	+	0.0162845i
$493$	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
$497$	−1.89196e11	−	2.16251e12i	−0.00623920	−	0.0713144i
$498$	2.22758e13	−	1.03874e13i	0.727253	−	0.339124i
$499$	1.78460e12	+	4.90315e12i	0.0576817	+	0.158479i	0.965187	−	0.261562i	$-0.0842377\pi$
$499$	1.78460e12	+	4.90315e12i	0.0576817	+	0.158479i	−0.907505	+	0.420042i	$0.862015\pi$
$500$	2.59262e12	+	6.16293e13i	0.0829637	+	1.97214i
$501$	4.59403e12	+	7.95709e12i	0.145548	+	0.252096i
$502$	2.73805e13	−	7.33657e12i	0.858859	−	0.230131i
$503$	1.20196e13	+	8.41623e12i	0.373294	+	0.261383i	0.745136	−	0.666913i	$-0.232385\pi$
$503$	1.20196e13	+	8.41623e12i	0.373294	+	0.261383i	−0.371842	+	0.928296i	$0.621274\pi$
$504$	3.32223e13	−	5.85799e12i	1.02159	−	0.180134i
$505$	−2.40039e12	−	5.33490e11i	−0.0730846	−	0.0162431i
$506$	−3.66101e13	−	6.34105e13i	−1.10369	−	1.91165i
$507$	1.08916e13	+	9.52892e11i	0.325126	+	0.0284449i
$508$	−2.35836e13	+	5.05753e13i	−0.697095	+	1.49493i
$509$	2.88540e12	−	7.92756e12i	0.0844533	−	0.232033i	−0.890277	−	0.455420i	$-0.849489\pi$
$509$	2.88540e12	−	7.92756e12i	0.0844533	−	0.232033i	0.974730	+	0.223387i	$0.0717113\pi$
$510$	2.09834e13	−	8.67858e12i	0.608170	−	0.251535i
$511$	2.74221e11	−	1.55518e12i	0.00787039	−	0.0446352i
$512$	4.05780e13	+	4.05780e13i	1.15329	+	1.15329i
$513$	−1.94604e13	−	1.04645e13i	−0.547729	−	0.294531i
$514$			7.02599e12i			0.195836i
$515$	−4.20085e13	+	5.46865e13i	−1.15958	+	1.50954i
$516$	3.08980e13	+	2.59265e13i	0.844659	+	0.708753i
$517$	−9.93041e12	−	2.12958e13i	−0.268853	−	0.576557i
$518$	−2.08305e13	+	4.46712e13i	−0.558537	+	1.19779i
$519$	−5.34180e12	−	6.36611e12i	−0.141857	−	0.169059i
$520$	3.96843e12	+	3.64027e12i	0.104376	+	0.0957451i
$521$	−2.51505e13	+	4.35619e13i	−0.655175	+	1.13480i	0.326674	+	0.945137i	$0.394072\pi$
$521$	−2.51505e13	+	4.35619e13i	−0.655175	+	1.13480i	−0.981850	+	0.189660i	$0.939261\pi$
$522$	−1.30280e13	+	1.86058e13i	−0.336143	+	0.480062i
$523$	4.93276e12	+	3.45395e12i	0.126061	+	0.0882690i	0.634907	−	0.772589i	$-0.281039\pi$
$523$	4.93276e12	+	3.45395e12i	0.126061	+	0.0882690i	−0.508845	+	0.860858i	$0.669927\pi$
$524$	−8.83591e13	−	5.10142e13i	−2.23663	−	1.29132i
$525$	−8.22397e12	−	3.84552e12i	−0.206198	−	0.0964180i
$526$	4.65164e13	−	3.90319e13i	1.15525	−	0.969372i
$527$	−2.18071e13	−	1.01688e13i	−0.536468	−	0.250159i
$528$	1.00038e13	−	4.66487e12i	0.243780	−	0.113676i
$529$	2.87984e13	−	3.43206e13i	0.695168	−	0.828469i
$530$	−1.85693e13	+	2.43469e12i	−0.444035	+	0.0582189i
$531$	3.56942e13			0.845522
$532$	1.18439e13	+	5.70331e13i	0.277931	+	1.33835i
$533$	−1.12251e11	+	1.12251e11i	−0.00260948	+	0.00260948i
$534$	3.45261e13	+	6.08788e12i	0.795135	+	0.140204i
$535$	2.69620e13	−	1.11513e13i	0.615152	−	0.254422i
$536$	2.27052e13	+	8.26400e12i	0.513216	+	0.186795i
$537$	−1.47067e13	−	6.85783e12i	−0.329339	−	0.153573i
$538$	3.51657e12	−	4.01946e13i	0.0780203	−	0.891776i
$539$	−1.81921e13	+	1.05032e13i	−0.399890	+	0.230876i
$540$	−4.75536e13	+	3.02596e13i	−1.03565	+	0.659013i
$541$	−4.82583e12	−	2.73686e13i	−0.104132	−	0.590563i	−0.991563	−	0.129623i	$-0.958623\pi$
$541$	−4.82583e12	−	2.73686e13i	−0.104132	−	0.590563i	0.887431	−	0.460940i	$-0.152488\pi$
$542$	−4.77033e13	+	6.81274e13i	−1.01989	+	1.45655i
$543$	−4.80372e12	−	1.79277e13i	−0.101760	−	0.379775i
$544$	4.25893e12	−	2.45890e12i	0.0893935	−	0.0516114i
$545$	3.17998e13	−	4.98574e13i	0.661367	−	1.03692i
$546$	−1.50956e12	+	5.49434e11i	−0.0311090	+	0.0113228i
$547$	−3.44223e13	−	7.38188e13i	−0.702915	−	1.50741i	−0.854772	−	0.519004i	$-0.826303\pi$
$547$	−3.44223e13	−	7.38188e13i	−0.702915	−	1.50741i	0.151857	−	0.988402i	$-0.451475\pi$
$548$	−1.04382e14	+	9.13228e12i	−2.11215	+	0.184789i
$549$	−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
$553$	−2.15561e12	−	3.07852e12i	−0.0416815	−	0.0595274i
$554$	3.26963e13	−	3.89660e13i	0.626542	−	0.746684i
$555$	8.45704e11	−	1.91370e13i	0.0160603	−	0.363421i
$556$	5.65309e13	−	2.05756e13i	1.06393	−	0.387238i
$557$	−3.76677e13	−	3.29550e12i	−0.702576	−	0.0614674i	−0.269731	−	0.962936i	$-0.586935\pi$
$557$	−3.76677e13	−	3.29550e12i	−0.702576	−	0.0614674i	−0.432845	+	0.901468i	$0.642490\pi$
$558$	4.09772e13	+	1.09798e13i	0.757480	+	0.202966i
$559$	6.77489e12	+	3.91149e12i	0.124120	+	0.0716610i
$560$	3.35419e13	+	1.05953e13i	0.609043	+	0.192385i
$561$	−3.26713e12	−	1.85288e13i	−0.0587965	−	0.333452i
$562$	1.42054e14	−	3.80634e13i	2.53381	−	0.678931i
$563$	3.19114e13	+	8.55063e12i	0.564162	+	0.151167i	0.529618	−	0.848236i	$-0.322335\pi$
$563$	3.19114e13	+	8.55063e12i	0.564162	+	0.151167i	0.0345442	+	0.999403i	$0.489002\pi$
$564$	1.70659e13	+	2.03384e13i	0.299043	+	0.356386i
$565$	1.99226e13	+	2.63361e12i	0.346022	+	0.0457413i
$566$	6.04978e13	+	2.20194e13i	1.04150	+	0.379073i
$567$	2.43175e12	+	2.77951e13i	0.0414958	+	0.474299i
$568$	−5.88732e12	−	8.40797e12i	−0.0995809	−	0.142216i
$569$			2.39746e13i			0.401966i	0.979595	+	0.200983i	$0.0644137\pi$
$569$			2.39746e13i			0.401966i	−0.979595	+	0.200983i	$0.935586\pi$
$570$	−1.91717e13	−	2.82088e13i	−0.318629	−	0.468825i
$571$	9.96841e13			1.64227			0.821136	−	0.570732i	$-0.193341\pi$
$571$	9.96841e13			1.64227			0.821136	+	0.570732i	$0.193341\pi$
$572$	7.40814e12	−	5.18723e12i	0.120984	−	0.0847141i
$573$	1.93844e13	−	1.69591e12i	0.313819	−	0.0274556i
$574$	−1.11364e12	+	3.05969e12i	−0.0178725	+	0.0491042i
$575$	1.56523e13	+	8.93221e13i	0.249022	+	1.42108i
$576$	−4.65990e13	+	3.91012e13i	−0.734961	+	0.616706i
$577$	4.26100e12	−	1.59023e13i	0.0666242	−	0.248645i	−0.924580	−	0.380989i	$-0.875584\pi$
$577$	4.26100e12	−	1.59023e13i	0.0666242	−	0.248645i	0.991204	+	0.132344i	$0.0422503\pi$
$578$	1.00201e13	+	3.73956e13i	0.155322	+	0.579671i
$579$	1.29278e11	−	2.27953e10i	0.00198670	−	0.000350310i
$580$	−4.37964e13	+	2.27695e13i	−0.667266	+	0.346907i
$581$	3.24494e13	−	5.62040e13i	0.490147	−	0.848959i
$582$	−9.97583e12	+	3.72303e13i	−0.149394	+	0.557547i
$583$	−1.35246e12	+	1.54587e13i	−0.0200808	+	0.229525i
$584$	−2.55384e12	−	7.01662e12i	−0.0375950	−	0.103291i
$585$	−3.80169e12	+	3.47990e12i	−0.0554878	+	0.0507911i
$586$	−1.19469e14	−	1.00247e14i	−1.72889	−	1.45071i
$587$	−8.20852e13	+	5.74767e13i	−1.17781	+	0.824710i	−0.987593	−	0.157033i	$-0.949807\pi$
$587$	−8.20852e13	+	5.74767e13i	−1.17781	+	0.824710i	−0.190214	+	0.981743i	$0.560918\pi$
$588$	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
$592$	6.46867e12	+	7.39372e13i	0.0889624	+	1.01684i
$593$	−9.85134e13	+	4.59376e13i	−1.34345	+	0.626462i	−0.955438	−	0.295192i	$-0.904616\pi$
$593$	−9.85134e13	+	4.59376e13i	−1.34345	+	0.626462i	−0.388013	+	0.921654i	$0.626839\pi$
$594$	2.40654e13	+	6.61191e13i	0.325432	+	0.894118i
$595$	3.22421e13	−	5.05508e13i	0.432353	−	0.677865i
$596$	−4.31515e13	−	7.47405e13i	−0.573805	−	0.993859i
$597$	−1.91971e13	+	5.14385e12i	−0.253142	+	0.0678292i
$598$	1.31442e13	+	9.20366e12i	0.171881	+	0.120352i
$599$	1.11301e14	−	1.96253e13i	1.44332	−	0.254497i	0.603502	−	0.797362i	$-0.293772\pi$
$599$	1.11301e14	−	1.96253e13i	1.44332	−	0.254497i	0.839820	+	0.542865i	$0.182661\pi$
$600$	−4.27678e13	+	3.69601e12i	−0.549997	+	0.0475310i
$601$	4.36354e13	+	7.55787e13i	0.556501	+	0.963889i	0.997785	+	0.0665210i	$0.0211899\pi$
$601$	4.36354e13	+	7.55787e13i	0.556501	+	0.963889i	−0.441284	+	0.897368i	$0.645477\pi$
$602$	1.59846e14	+	1.39847e13i	2.02172	+	0.176877i
$603$	−9.77289e12	+	2.09580e13i	−0.122585	+	0.262884i
$604$	4.29990e13	−	1.18139e14i	0.534902	−	1.46963i
$605$	−6.61066e12	+	1.59357e13i	−0.0815583	+	0.196604i
$606$	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	$0.572946\pi$
$608$	−4.91689e12	−	5.51245e12i	−0.0591797	−	0.0663479i
$609$		−	7.26507e12i		−	0.0867267i
$610$	−1.81617e14	−	1.39513e14i	−2.15034	−	1.65183i
$611$	3.94468e12	+	3.30998e12i	0.0463240	+	0.0388704i
$612$	−7.41673e13	−	1.59052e14i	−0.863884	−	1.85261i
$613$	−2.13805e13	+	4.58507e13i	−0.247011	+	0.529717i	−0.990249	−	0.139311i	$-0.955511\pi$
$613$	−2.13805e13	+	4.58507e13i	−0.247011	+	0.529717i	0.743238	+	0.669027i	$0.233289\pi$
$614$	−1.63652e14	−	1.95033e14i	−1.87534	−	2.23495i
$615$	−5.45272e10	−	1.26426e12i	−0.000619780	−	0.0143701i
$616$	4.57600e13	−	7.92587e13i	0.515921	−	0.893601i
$617$	1.52230e13	−	2.17407e13i	0.170245	−	0.243136i	−0.724958	−	0.688793i	$-0.758141\pi$
$617$	1.52230e13	−	2.17407e13i	0.170245	−	0.243136i	0.895204	+	0.445657i	$0.147030\pi$
$618$	−7.96766e13	−	5.57901e13i	−0.883870	−	0.618892i
$619$	1.04484e14	+	6.03236e13i	1.14973	+	0.663795i	0.948821	−	0.315816i	$-0.102278\pi$
$619$	1.04484e14	+	6.03236e13i	1.14973	+	0.663795i	0.200906	+	0.979611i	$0.435611\pi$
$620$	6.79396e13	+	6.23215e13i	0.741592	+	0.680267i
$621$	−6.34771e13	+	5.32636e13i	−0.687320	+	0.576730i
$622$	−2.97739e13	−	1.38838e13i	−0.319804	−	0.149127i
$623$	8.38980e13	−	3.91223e13i	0.893946	−	0.416854i
$624$	−1.55488e12	+	1.85304e12i	−0.0164352	+	0.0195867i
$625$	−8.24893e13	−	4.78587e13i	−0.864963	−	0.501835i
$626$	−5.15970e12			−0.0536726
$627$	−2.62516e13	+	1.04636e13i	−0.270906	+	0.107980i
$628$	−2.15684e14	+	2.15684e14i	−2.20811	+	2.20811i
$629$	1.24588e14	+	2.19682e13i	1.26538	+	0.223121i
$630$	−4.05058e13	+	9.76432e13i	−0.408145	+	0.983874i
$631$	1.20064e13	+	4.36997e12i	0.120023	+	0.0436849i	0.401334	−	0.915932i	$-0.368547\pi$
$631$	1.20064e13	+	4.36997e12i	0.120023	+	0.0436849i	−0.281310	+	0.959617i	$0.590769\pi$
$632$	−1.61052e13	−	7.50997e12i	−0.159728	−	0.0744822i
$633$	1.96103e12	−	2.24146e13i	0.0192959	−	0.220553i
$634$	−2.91645e14	+	1.68381e14i	−2.84713	+	1.64379i
$635$	−4.63176e13	−	7.27892e13i	−0.448619	−	0.705015i
$636$	−3.04468e12	−	1.72672e13i	−0.0292587	−	0.165935i
$637$	2.64048e12	−	3.77100e12i	0.0251760	−	0.0359550i
$638$	1.59485e13	+	5.95205e13i	0.150875	+	0.563071i
$639$	8.50733e12	−	4.91171e12i	0.0798526	−	0.0461029i
$640$	−1.85154e14	+	4.09446e13i	−1.72438	+	0.381326i
$641$	7.43614e13	−	2.70653e13i	0.687159	−	0.250105i	0.0252406	−	0.999681i	$-0.491965\pi$
$641$	7.43614e13	−	2.70653e13i	0.687159	−	0.250105i	0.661918	+	0.749576i	$0.269743\pi$
$642$	1.73926e13	+	3.72986e13i	0.159474	+	0.341993i
$643$	2.29020e13	−	2.00366e12i	0.208362	−	0.0182293i	0.0175031	−	0.999847i	$-0.494428\pi$
$643$	2.29020e13	−	2.00366e12i	0.208362	−	0.0182293i	0.190859	+	0.981618i	$0.438873\pi$
$644$	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	$0.880614\pi$
$648$	7.56705e13	+	1.08069e14i	0.662295	+	0.945855i
$649$	6.22448e13	−	7.41805e13i	0.540605	−	0.644268i
$650$	−1.63046e13	+	4.35028e12i	−0.140522	+	0.0374930i
$651$	−1.27508e13	+	4.64093e12i	−0.109052	+	0.0396917i
$652$	−4.06327e14	−	3.55490e13i	−3.44856	−	0.301710i
$653$	−2.53336e13	−	6.78811e12i	−0.213369	−	0.0571720i	0.150551	−	0.988602i	$-0.451895\pi$
$653$	−2.53336e13	−	6.78811e12i	−0.213369	−	0.0571720i	−0.363920	+	0.931430i	$0.618562\pi$
$654$	7.22361e13	+	4.17055e13i	0.603761	+	0.348582i
$655$	1.39958e14	−	7.27634e13i	1.16089	−	0.603540i
$656$	8.51391e11	+	4.82848e12i	0.00700825	+	0.0397458i
$657$	6.90275e12	−	1.84959e12i	0.0563891	−	0.0151094i
$658$	1.02021e14	+	2.73364e13i	0.827102	+	0.221621i
$659$	9.38767e13	+	1.11878e14i	0.755319	+	0.900154i	0.997542	−	0.0700662i	$-0.0223210\pi$
$659$	9.38767e13	+	1.11878e14i	0.755319	+	0.900154i	−0.242223	+	0.970221i	$0.577877\pi$
$660$	−9.44757e12	+	7.14687e13i	−0.0754398	+	0.570685i
$661$	1.29393e14	+	4.70952e13i	1.02542	+	0.373224i	0.799337	−	0.600883i	$-0.205184\pi$
$661$	1.29393e14	+	4.70952e13i	1.02542	+	0.373224i	0.226087	+	0.974107i	$0.427407\pi$
$662$	3.12021e13	+	3.56642e14i	0.245411	+	2.80506i
$663$	2.36497e12	+	3.37753e12i	0.0184611	+	0.0263652i
$664$		−	3.06866e14i		−	2.37743i
$665$	−8.41897e13	−	3.19784e13i	−0.647367	−	0.245894i
$666$	−2.23049e14			−1.70227
$667$	−5.94442e13	+	4.16233e13i	−0.450278	+	0.315288i
$668$	2.31619e14	−	2.02640e13i	1.74137	−	0.152351i
$669$	9.20466e12	−	2.52896e13i	0.0686874	−	0.188717i
$670$	−6.00933e13	+	4.60606e13i	−0.445094	+	0.341158i
$671$	−1.45362e14	+	1.21973e14i	−1.06866	+	0.896711i
$672$	7.17790e11	−	2.67883e12i	0.00523783	−	0.0195478i
$673$	5.62641e13	+	2.09981e14i	0.407527	+	1.52091i	0.799347	+	0.600869i	$0.205179\pi$
$673$	5.62641e13	+	2.09981e14i	0.407527	+	1.52091i	−0.391820	+	0.920042i	$0.628155\pi$
$674$	4.15038e14	−	7.31823e13i	2.98393	−	0.526147i
$675$	9.23789e10	−	8.71439e13i	0.000659256	−	0.621896i
$676$	1.38333e14	−	2.39599e14i	0.979921	−	1.69727i
$677$	1.63593e12	−	6.10538e12i	0.0115033	−	0.0429308i	−0.959936	−	0.280221i	$-0.909592\pi$
$677$	1.63593e12	−	6.10538e12i	0.0115033	−	0.0429308i	0.971439	+	0.237290i	$0.0762591\pi$
$678$	−2.47047e12	+	2.82376e13i	−0.0172438	+	0.197097i
$679$	3.48085e13	+	9.56354e13i	0.241177	+	0.662628i
$680$	1.25163e13	−	2.83226e14i	0.0860860	−	1.94800i
$681$	3.04214e13	+	2.55266e13i	0.207703	+	0.174284i
$682$	9.42760e13	−	6.60127e13i	0.638968	−	0.447410i
$683$	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
$687$	−5.38231e11	−	6.15200e12i	−0.00351710	−	0.0402006i
$688$	2.18978e14	−	1.02111e14i	1.42056	−	0.662417i
$689$	−1.16310e12	−	3.19560e12i	−0.00749070	−	0.0205805i
$690$	−1.24892e14	+	2.76185e13i	−0.798527	+	0.176585i
$691$	1.53089e13	+	2.65157e13i	0.0971746	+	0.168311i	0.910514	−	0.413478i	$-0.135686\pi$
$691$	1.53089e13	+	2.65157e13i	0.0971746	+	0.168311i	−0.813340	+	0.581789i	$0.802353\pi$
$692$	−2.03128e14	+	5.44281e13i	−1.28009	+	0.342999i
$693$	7.17492e13	+	5.02393e13i	0.448901	+	0.314324i
$694$	−2.12499e14	+	3.74692e13i	−1.31995	+	0.232743i
$695$	−2.01792e13	+	9.07945e13i	−0.124445	+	0.559933i
$696$	−1.71760e13	−	2.97496e13i	−0.105166	−	0.182153i
$697$	8.32544e12	+	7.28382e11i	0.0506108	+	0.00442787i
$698$	1.51471e14	−	3.24830e14i	0.914223	−	1.96056i
$699$	−1.57063e12	+	4.31526e12i	−0.00941211	+	0.0258596i
$700$	−1.76144e14	+	1.47484e14i	−1.04804	+	0.877517i
$701$	−2.02651e13	+	1.14929e14i	−0.119718	+	0.678954i	0.864588	+	0.502482i	$0.167580\pi$
$701$	−2.02651e13	+	1.14929e14i	−0.119718	+	0.678954i	−0.984306	+	0.176472i	$0.943532\pi$
$702$	−1.09035e13	−	1.09035e13i	−0.0639557	−	0.0639557i
$703$	−5.74228e12	−	1.89935e14i	−0.0334432	−	1.10618i
$704$			1.65029e14i			0.954328i
$705$	−4.06996e13	+	5.33626e12i	−0.233692	+	0.0306402i
$706$	−2.63321e14	−	2.20952e14i	−1.50128	−	1.25972i
$707$	−3.87041e12	−	8.30012e12i	−0.0219109	−	0.0469880i
$708$	−4.62410e13	+	9.91641e13i	−0.259933	+	0.557427i
$709$	1.57941e14	+	1.88227e14i	0.881586	+	1.05063i	0.998347	+	0.0574734i	$0.0183044\pi$
$709$	1.57941e14	+	1.88227e14i	0.881586	+	1.05063i	−0.116761	+	0.993160i	$0.537251\pi$
$710$	3.21342e13	−	1.38594e12i	0.178105	−	0.00768164i
$711$	8.50347e12	−	1.47284e13i	0.0468002	−	0.0810604i
$712$	2.51061e14	−	3.58552e14i	1.37208	−	1.95953i
$713$	1.11026e14	+	7.77410e13i	0.602526	+	0.421893i
$714$	7.32406e13	+	4.22855e13i	0.394694	+	0.227877i
$715$	6.02488e11	+	1.39691e13i	0.00322417	+	0.0747549i
$716$	−3.14557e14	+	2.63944e14i	−1.67161	+	1.40264i
$717$	7.29819e13	+	3.40320e13i	0.385140	+	0.179594i
$718$	5.04694e13	−	2.35343e13i	0.264488	−	0.123333i
$719$	−1.13333e14	+	1.35065e14i	−0.589811	+	0.702909i	−0.975570	−	0.219691i	$-0.929495\pi$
$719$	−1.13333e14	+	1.35065e14i	−0.589811	+	0.702909i	0.385759	+	0.922600i	$0.373940\pi$
$720$	2.06935e13	+	1.57829e14i	0.106948	+	0.815690i
$721$	−2.56830e14			−1.31817
$722$	−2.10450e14	−	2.64919e14i	−1.07266	−	1.35029i
$723$	5.18833e13	−	5.18833e13i	0.262625	−	0.262625i
$724$	−4.62530e14	−	8.15565e13i	−2.32513	−	0.409983i
$725$	6.73202e12	−	7.60191e13i	0.0336090	−	0.379518i
$726$	−2.28671e13	−	8.32296e12i	−0.113378	−	0.0412662i
$727$	−1.47184e13	−	6.86329e12i	−0.0724749	−	0.0337956i	0.386043	−	0.922481i	$-0.373842\pi$
$727$	−1.47184e13	−	6.86329e12i	−0.0724749	−	0.0337956i	−0.458518	+	0.888685i	$0.651619\pi$
$728$	−1.74804e12	+	1.99802e13i	−0.00854859	+	0.0977108i
$729$	−7.28960e13	+	4.20866e13i	−0.354051	+	0.204412i
$730$	2.28411e13	+	5.07645e12i	0.110180	+	0.0244876i
$731$	−7.15155e13	−	4.05584e14i	−0.342620	−	1.94310i
$732$	1.22979e14	−	1.75633e14i	0.585163	−	0.835699i
$733$	2.15020e13	+	8.02465e13i	0.101615	+	0.379233i	0.997939	−	0.0641665i	$-0.0204389\pi$
$733$	2.15020e13	+	8.02465e13i	0.101615	+	0.379233i	−0.896324	+	0.443400i	$0.853772\pi$
$734$	−1.78276e13	+	1.02928e13i	−0.0836782	+	0.0483116i
$735$	7.92360e12	+	3.58309e13i	0.0369391	+	0.167040i
$736$	−2.60311e13	+	9.47456e12i	−0.120532	+	0.0438702i
$737$	2.65131e13	+	5.68576e13i	0.121934	+	0.261488i
$738$	−1.46786e13	+	1.28421e12i	−0.0670506	+	0.00586616i
$739$	4.28127e13	+	7.54904e12i	0.194245	+	0.0342507i	0.269924	−	0.962882i	$-0.413001\pi$
$739$	4.28127e13	+	7.54904e12i	0.194245	+	0.0342507i	−0.0756789	+	0.997132i	$0.524112\pi$
$740$	−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
$743$	9.26697e13	+	1.32346e14i	0.409255	+	0.584476i	0.969877	−	0.243595i	$-0.0783269\pi$
$743$	9.26697e13	+	1.32346e14i	0.409255	+	0.584476i	−0.560622	+	0.828072i	$0.689438\pi$
$744$	−4.12413e13	+	4.91494e13i	−0.180912	+	0.215603i
$745$	1.33300e14	+	5.89081e12i	0.580831	+	0.0256681i
$746$	4.87881e14	−	1.77574e14i	2.11164	−	0.768575i
$747$	2.92569e14	+	2.55965e13i	1.25784	+	0.110047i
$748$	−4.59882e14	−	1.23225e14i	−1.96399	−	0.526248i
$749$	9.41082e13	+	5.43334e13i	0.399226	+	0.230493i
$750$	6.23025e13	−	1.19219e14i	0.262542	−	0.502387i
$751$	3.35976e13	+	1.90541e14i	0.140640	+	0.797608i	0.970765	+	0.240031i	$0.0771576\pi$
$751$	3.35976e13	+	1.90541e14i	0.140640	+	0.797608i	−0.830125	+	0.557577i	$0.811731\pi$
$752$	1.53623e14	−	4.11631e13i	0.638802	−	0.171166i
$753$	−3.96317e13	−	1.06193e13i	−0.163707	−	0.0438653i
$754$	−8.68019e12	−	1.03447e13i	−0.0356183	−	0.0424482i
$755$	1.18245e14	+	1.54269e14i	0.482001	+	0.628846i
$756$	−1.97265e14	−	7.17986e13i	−0.798806	−	0.290741i
$757$	3.12008e13	+	3.56627e14i	0.125512	+	1.43461i	0.754042	+	0.656826i	$0.228101\pi$
$757$	3.12008e13	+	3.56627e14i	0.125512	+	1.43461i	−0.628530	+	0.777785i	$0.716343\pi$
$758$	−4.49013e14	−	6.41256e14i	−1.79437	−	2.56263i
$759$			1.05982e14i			0.420750i
$760$	−4.20350e14	+	6.80919e13i	−1.65784	+	0.268551i
$761$	−1.42286e14			−0.557494			−0.278747	−	0.960365i	$-0.589919\pi$
$761$	−1.42286e14			−0.557494			−0.278747	+	0.960365i	$0.589919\pi$
$762$	9.96855e13	−	6.98005e13i	0.388023	−	0.271696i
$763$	2.19406e14	−	1.91955e13i	0.848448	−	0.0742296i
$764$	1.68409e14	−	4.62701e14i	0.646992	−	1.77760i
$765$	2.68987e14	+	3.55579e13i	1.02665	+	0.135715i
$766$	6.10752e14	−	5.12482e14i	2.31591	−	1.94328i
$767$	−5.49251e12	+	2.04983e13i	−0.0206916	+	0.0772221i
$768$	−4.47764e13	−	1.67108e14i	−0.167588	−	0.625448i
$769$	4.37130e13	−	7.70778e12i	0.162547	−	0.0286614i	−0.0917824	−	0.995779i	$-0.529256\pi$
$769$	4.37130e13	−	7.70778e12i	0.162547	−	0.0286614i	0.254329	+	0.967118i	$0.418145\pi$
$770$	1.32289e14	+	2.54454e14i	0.488731	+	0.940060i
$771$	5.08487e12	−	8.80726e12i	0.0186642	−	0.0323273i
$772$	8.59761e11	−	3.20867e12i	0.00313539	−	0.0117014i
$773$	−9.30198e12	+	1.06322e14i	−0.0337037	+	0.385235i	0.960544	+	0.278129i	$0.0897142\pi$
$773$	−9.30198e12	+	1.06322e14i	−0.0337037	+	0.385235i	−0.994248	+	0.107107i	$0.965841\pi$
$774$	2.48347e14	+	6.82327e14i	0.894033	+	2.45633i
$775$	−1.37721e14	+	3.67457e13i	−0.492596	+	0.131431i
$776$	3.68637e14	+	3.09323e14i	1.31006	+	1.09927i
$777$	5.84412e13	−	4.09210e13i	0.206355	−	0.144491i
$778$	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
$782$	−7.36247e13	−	8.41534e14i	−0.251762	−	2.87765i
$783$	6.32021e13	−	2.94716e13i	0.214745	−	0.100137i
$784$	−4.86292e13	−	1.33608e14i	−0.164179	−	0.451078i
$785$	−1.01826e14	−	4.60463e14i	−0.341595	−	1.54471i
$786$	1.11249e14	+	1.92689e14i	0.370837	+	0.642309i
$787$	2.51283e14	−	6.73311e13i	0.832318	−	0.223019i	0.182593	−	0.983189i	$-0.441551\pi$
$787$	2.51283e14	−	6.73311e13i	0.832318	−	0.223019i	0.649725	+	0.760169i	$0.274884\pi$
$788$	5.80063e14	+	4.06165e14i	1.90917	+	1.33681i
$789$	−8.65577e13	+	1.52625e13i	−0.283087	+	0.0499160i
$790$	4.69796e13	−	2.98943e13i	0.152677	−	0.0971523i
$791$	3.74226e13	+	6.48179e13i	0.120851	+	0.209321i
$792$	4.12580e14	+	3.60961e13i	1.32398	+	0.115834i
$793$	1.75746e13	−	3.76888e13i	0.0560427	−	0.120184i
$794$	9.90808e13	−	2.72222e14i	0.313969	−	0.862623i
$795$	2.50392e13	+	1.03871e13i	0.0788468	+	0.0327084i
$796$	−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	$0.948140\pi$
$798$	3.98192e13	−	1.20626e14i	0.123049	−	0.372757i
$799$		−	2.71092e14i		−	0.832496i
$800$	9.99299e12	−	2.73652e13i	0.0304962	−	0.0835120i
$801$	3.20906e14	+	2.69272e14i	0.973229	+	0.816636i
$802$	4.29476e13	+	9.21014e13i	0.129440	+	0.277584i
$803$	8.19341e12	−	1.75708e13i	0.0245407	−	0.0526277i
$804$	−4.55642e13	−	5.43013e13i	−0.135626	−	0.161633i
$805$	−2.28306e14	+	2.48887e14i	−0.675364	+	0.736246i
$806$	−1.26109e13	+	2.18427e13i	−0.0370741	+	0.0642142i
$807$	−3.34978e13	+	4.78399e13i	−0.0978699	+	0.139773i
$808$	−3.54719e13	−	2.48377e13i	−0.102998	−	0.0721198i
$809$	5.68351e14	+	3.28138e14i	1.64011	+	0.946920i	0.980791	+	0.195060i	$0.0624902\pi$
$809$	5.68351e14	+	3.28138e14i	1.64011	+	0.946920i	0.659323	+	0.751860i	$0.270843\pi$
$810$	−4.13024e14	+	1.78137e13i	−1.18454	+	0.0510892i
$811$	−4.07460e14	+	3.41899e14i	−1.16140	+	0.974528i	−0.999924	−	0.0123496i	$-0.996069\pi$
$811$	−4.07460e14	+	3.41899e14i	−1.16140	+	0.974528i	−0.161473	+	0.986877i	$0.551624\pi$
$812$	−1.66618e14	−	7.76953e13i	−0.472000	−	0.220097i
$813$	1.09103e14	−	5.08754e13i	0.307173	−	0.143237i
$814$	−3.88961e14	+	4.63545e14i	−1.08839	+	1.29709i
$815$	3.84156e14	−	5.00093e14i	1.06836	−	1.39079i
$816$	1.27347e14			0.351996
$817$	−5.74633e14	+	2.29043e14i	−1.57863	+	0.629225i
$818$	−3.13182e14	+	3.13182e14i	−0.855125	+	0.855125i
$819$	−1.89035e13	−	3.33320e12i	−0.0513007	−	0.00904570i
$820$	−2.95777e13	−	1.22699e13i	−0.0797803	−	0.0330956i
$821$	6.79455e14	+	2.47301e14i	1.82156	+	0.662995i	0.994967	+	0.100202i	$0.0319489\pi$
$821$	6.79455e14	+	2.47301e14i	1.82156	+	0.662995i	0.826598	+	0.562793i	$0.190273\pi$
$822$	2.07092e14	+	9.65688e13i	0.551830	+	0.257322i
$823$	4.55364e13	−	5.20483e14i	0.120603	−	1.37850i	−0.658959	−	0.752178i	$-0.729003\pi$
$823$	4.55364e13	−	5.20483e14i	0.120603	−	1.37850i	0.779563	−	0.626324i	$-0.215441\pi$
$824$	−1.05169e15	+	6.07195e14i	−2.76855	+	1.59842i
$825$	−8.53049e13	−	7.17335e13i	−0.223205	−	0.187695i
$826$	7.55843e13	+	4.28660e14i	0.196576	+	1.11484i
$827$	−1.50322e14	+	2.14682e14i	−0.388592	+	0.554967i	−0.965018	−	0.262182i	$-0.915558\pi$
$827$	−1.50322e14	+	2.14682e14i	−0.388592	+	0.554967i	0.576426	+	0.817149i	$0.304447\pi$
$828$	2.55857e14	+	9.54872e14i	0.657425	+	2.45354i
$829$	−3.68254e14	+	2.12612e14i	−0.940535	+	0.543018i	−0.890128	−	0.455711i	$-0.849385\pi$
$829$	−3.68254e14	+	2.12612e14i	−0.940535	+	0.543018i	−0.0504067	+	0.998729i	$0.516052\pi$
$830$	8.10728e14	+	5.17095e14i	2.05819	+	1.31274i
$831$	−6.91863e13	+	2.51818e13i	−0.174588	+	0.0635449i
$832$	−1.52844e13	−	3.27775e13i	−0.0383382	−	0.0822165i
$833$	−2.41432e14	+	2.11225e13i	−0.601962	+	0.0526649i
$834$	−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
$838$	−2.18326e14	−	3.11802e14i	−0.528305	−	0.754498i
$839$	5.27548e14	−	6.28708e14i	1.26897	−	1.51230i	0.511773	−	0.859121i	$-0.328989\pi$
$839$	5.27548e14	−	6.28708e14i	1.26897	−	1.51230i	0.757201	−	0.653182i	$-0.226567\pi$
$840$	−1.07949e14	−	1.17932e14i	−0.258121	−	0.281990i
$841$	−3.37947e14	+	1.23003e14i	−0.803283	+	0.292371i
$842$	−9.68691e14	−	8.47495e13i	−2.28889	−	0.200252i
$843$	−2.05616e14	−	5.50947e13i	−0.482969	−	0.129411i
$844$	−4.93089e14	−	2.84685e14i	−1.15136	−	0.664740i
$845$	1.97309e14	+	3.79518e14i	0.457998	+	0.880945i
$846$	8.29971e13	+	4.70700e14i	0.191519	+	1.08616i
$847$	−6.20655e13	+	1.66304e13i	−0.142375	+	0.0381492i
$848$	−1.01453e14	−	2.71842e13i	−0.231358	−	0.0619922i
$849$	−5.98996e13	−	7.13855e13i	−0.135795	−	0.161835i
$850$	7.27181e14	+	5.10328e14i	1.63888	+	1.15015i
$851$	−6.69648e14	−	2.43732e14i	−1.50037	−	0.546090i
$852$	2.62446e12	+	2.99977e13i	0.00584577	+	0.0668175i
$853$	−1.19264e14	−	1.70327e14i	−0.264098	−	0.377171i	0.665099	−	0.746755i	$-0.268389\pi$
$853$	−1.19264e14	−	1.70327e14i	−0.264098	−	0.377171i	−0.929197	+	0.369584i	$0.879500\pi$
$854$		−	8.52950e14i		−	1.87773i
$855$	−2.98570e13	−	4.06447e14i	−0.0653455	−	0.889555i
$856$	5.13817e14			1.11799
$857$	−3.84987e14	+	2.69571e14i	−0.832802	+	0.583134i	−0.910343	−	0.413855i	$-0.864182\pi$
$857$	−3.84987e14	+	2.69571e14i	−0.832802	+	0.583134i	0.0775410	+	0.996989i	$0.475293\pi$
$858$	−1.96469e13	+	1.71888e12i	−0.0422530	+	0.00369666i
$859$	1.72589e13	−	4.74184e13i	0.0369017	−	0.101387i	−0.919873	−	0.392215i	$-0.871709\pi$
$859$	1.72589e13	−	4.74184e13i	0.0369017	−	0.101387i	0.956775	+	0.290829i	$0.0939310\pi$
$860$	−2.06802e14	+	1.56441e15i	−0.439604	+	3.32550i
$861$	3.61034e12	−	3.02944e12i	0.00763014	−	0.00640245i
$862$	−4.23648e13	+	1.58108e14i	−0.0890163	+	0.332213i
$863$	−5.67626e13	−	2.11841e14i	−0.118579	−	0.442543i	0.880951	−	0.473208i	$-0.156904\pi$
$863$	−5.67626e13	−	2.11841e14i	−0.118579	−	0.442543i	−0.999530	+	0.0306649i	$0.990238\pi$
$864$	2.62162e13	−	4.62262e12i	0.0544503	−	0.00960106i
$865$	9.79325e13	−	3.10029e14i	0.202230	−	0.640209i
$866$	−2.14707e14	+	3.71884e14i	−0.440815	+	0.763515i
$867$	1.45036e13	−	5.41282e13i	0.0296060	−	0.110491i
$868$	−2.99265e13	+	3.42061e14i	−0.0607375	+	0.694233i
$869$	−1.57803e13	−	4.33561e13i	−0.0318432	−	0.0874885i
$870$	1.07540e14	+	4.75242e12i	0.215762	+	0.00953496i
$871$	−1.05319e13	−	8.83730e12i	−0.0210095	−	0.0176290i
$872$	8.53060e14	−	5.97319e14i	1.69199	−	1.18474i
$873$	−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
$877$	−3.36008e13	−	3.84059e14i	−0.0647667	−	0.740287i	−0.957260	−	0.289227i	$-0.906602\pi$
$877$	−3.36008e13	−	3.84059e14i	−0.0647667	−	0.740287i	0.892494	−	0.451060i	$-0.148954\pi$
$878$	−3.90868e13	+	1.82265e13i	−0.0749130	+	0.0349325i
$879$	7.72069e13	+	2.12124e14i	0.147134	+	0.404246i
$880$	3.64091e14	+	2.32223e14i	0.689916	+	0.440039i
$881$	4.12399e13	+	7.14297e13i	0.0777031	+	0.134586i	0.902259	−	0.431195i	$-0.141908\pi$
$881$	4.12399e13	+	7.14297e13i	0.0777031	+	0.134586i	−0.824555	+	0.565781i	$0.808575\pi$
$882$	4.12735e14	−	1.10592e14i	0.773264	−	0.207195i
$883$	−6.56533e14	−	4.59709e14i	−1.22307	−	0.856406i	−0.229920	−	0.973210i	$-0.573846\pi$
$883$	−6.56533e14	−	4.59709e14i	−1.22307	−	0.856406i	−0.993155	+	0.116803i	$0.962735\pi$
$884$	1.02753e14	−	1.81181e13i	0.190341	−	0.0335622i
$885$	−9.08161e13	−	1.42720e14i	−0.167281	−	0.262886i
$886$	7.08660e14	+	1.22743e15i	1.29798	+	2.24817i
$887$	−5.44686e14	−	4.76539e13i	−0.992038	−	0.0867921i	−0.420435	−	0.907323i	$-0.638123\pi$
$887$	−5.44686e14	−	4.76539e13i	−0.992038	−	0.0867921i	−0.571603	+	0.820530i	$0.693678\pi$
$888$	1.42566e14	−	3.05733e14i	0.258196	−	0.553704i
$889$	1.09900e14	−	3.01949e14i	0.197920	−	0.543782i
$890$	5.24222e14	+	1.26748e15i	0.938783	+	2.26982i
$891$	−5.94812e13	+	3.37335e14i	−0.105923	+	0.600721i
$892$	−4.81557e14	−	4.81557e14i	−0.852754	−	0.852754i
$893$	−3.98682e14	+	8.27931e13i	−0.702052	+	0.145793i
$894$			1.88205e14i			0.329567i
$895$	−8.25315e13	−	6.29467e14i	−0.143716	−	1.09612i
$896$	−5.41016e14	−	4.53966e14i	−0.936850	−	0.786110i
$897$	−9.81567e12	−	2.10498e13i	−0.0169028	−	0.0362481i
$898$	−2.84053e14	+	6.09153e14i	−0.486427	+	1.04315i
$899$	−7.33194e13	−	8.73786e13i	−0.124859	−	0.148801i
$900$	−9.41751e14	−	4.40362e14i	−1.59486	−	0.745756i
$901$	−8.95148e13	+	1.55044e14i	−0.150755	+	0.261115i
$902$	−2.29282e13	+	3.27448e13i	−0.0384005	+	0.0548416i
$903$	−1.90250e14	−	1.33215e14i	−0.316874	−	0.221878i
$904$	3.06483e14	+	1.76948e14i	0.507650	+	0.293092i
$905$	4.90853e14	−	5.35103e14i	0.808554	−	0.881443i
$906$	−2.10023e14	+	1.76230e14i	−0.344053	+	0.288695i
$907$	2.03349e14	+	9.48233e13i	0.331288	+	0.154482i	0.581144	−	0.813801i	$-0.302605\pi$
$907$	2.03349e14	+	9.48233e13i	0.331288	+	0.154482i	−0.249856	+	0.968283i	$0.580383\pi$
$908$	9.10768e14	−	4.24698e14i	1.47563	−	0.688099i
$909$	2.66394e13	−	3.17476e13i	0.0429244	−	0.0511553i
$910$	−4.98413e13	−	3.82865e13i	−0.0798697	−	0.0613535i
$911$	−1.76602e14			−0.281451			−0.140725	−	0.990049i	$-0.544943\pi$
$911$	−1.76602e14			−0.281451			−0.140725	+	0.990049i	$0.544943\pi$
$912$	−3.88925e13	−	1.87283e14i	−0.0616442	−	0.296841i
$913$	5.63388e14	−	5.63388e14i	0.888084	−	0.888084i
$914$	1.90208e14	+	3.35388e13i	0.298193	+	0.0525794i
$915$	1.26693e14	+	3.06324e14i	0.197537	+	0.477612i
$916$	−1.46847e14	−	5.34479e13i	−0.227713	−	0.0828807i
$917$	5.32453e14	+	2.48287e14i	0.821174	+	0.382920i
$918$	−7.07512e13	+	8.08690e14i	−0.108523	+	1.24042i
$919$	−7.37497e14	+	4.25794e14i	−1.12508	+	0.649564i	−0.942693	−	0.333663i	$-0.891715\pi$
$919$	−7.37497e14	+	4.25794e14i	−1.12508	+	0.649564i	−0.182386	+	0.983227i	$0.558382\pi$
$920$	−3.46472e14	+	1.55892e15i	−0.525689	+	2.36530i
$921$	6.39923e13	+	3.62918e14i	0.0965671	+	0.547659i
$922$	3.21286e14	−	4.58844e14i	0.482211	−	0.688669i
$923$	1.51160e12	+	5.64136e12i	0.00225646	+	0.00842122i
$924$	−2.32522e14	+	1.34247e14i	−0.345227	+	0.199317i
$925$	6.49427e14	−	3.74030e14i	0.959007	−	0.552328i
$926$	5.29802e14	−	1.92832e14i	0.778142	−	0.283220i
$927$	−4.91182e14	−	1.05334e15i	−0.717536	−	1.53876i
$928$	2.32244e13	−	2.03187e12i	0.0337446	−	0.00295227i
$929$	−9.57539e14	−	1.68840e14i	−1.38381	−	0.244004i	−0.568338	−	0.822795i	$-0.692414\pi$
$929$	−9.57539e14	−	1.68840e14i	−1.38381	−	0.244004i	−0.815476	+	0.578791i	$0.803525\pi$
$930$	−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
$933$	2.72743e13	+	3.89517e13i	0.0385785	+	0.0550958i
$934$	1.06220e15	−	1.26588e15i	1.49441	−	1.78097i
$935$	5.42967e14	−	4.97008e14i	0.759828	−	0.695513i
$936$	−8.52882e13	+	3.10424e13i	−0.118716	+	0.0432091i
$937$	−1.02141e15	−	8.93617e13i	−1.41417	−	0.123724i	−0.645691	−	0.763599i	$-0.723431\pi$
$937$	−1.02141e15	−	8.93617e13i	−1.41417	−	0.123724i	−0.768479	+	0.639875i	$0.778986\pi$
$938$	−2.72385e14	−	7.29852e13i	−0.375118	−	0.100513i
$939$	6.46781e12	+	3.73419e12i	0.00885991	+	0.00511527i
$940$	−3.12874e14	+	9.90478e14i	−0.426314	+	1.34960i
$941$	−9.51394e13	−	5.39563e14i	−0.128947	−	0.731297i	−0.978885	−	0.204413i	$-0.934471\pi$
$941$	−9.51394e13	−	5.39563e14i	−0.128947	−	0.731297i	0.849937	−	0.526884i	$-0.176640\pi$
$942$	6.42513e14	−	1.72161e14i	0.866219	−	0.232103i
$943$	−4.54720e13	−	1.21842e13i	−0.0609798	−	0.0163395i
$944$	4.21304e14	+	5.02091e14i	0.561999	+	0.669765i
$945$	2.57594e14	−	1.97442e14i	0.341804	−	0.261988i
$946$	1.85110e15	+	6.73746e14i	2.44329	+	0.889284i
$947$	9.04326e13	+	1.03365e15i	0.118734	+	1.35714i	0.788715	+	0.614759i	$0.210747\pi$
$947$	9.04326e13	+	1.03365e15i	0.118734	+	1.35714i	−0.669981	+	0.742378i	$0.733698\pi$
$948$	2.99019e13	+	4.27043e13i	0.0390532	+	0.0557738i
$949$			4.24869e12i			0.00551981i
$950$	5.28430e14	−	1.22529e15i	0.682919	−	1.58351i
$951$	4.87445e14			0.626647
$952$	8.64924e14	−	6.05626e14i	1.10610	−	0.774497i
$953$	1.09601e14	−	9.58887e12i	0.139428	−	0.0121984i	−0.0172279	−	0.999852i	$-0.505484\pi$
$953$	1.09601e14	−	9.58887e12i	0.139428	−	0.0121984i	0.156656	+	0.987653i	$0.449929\pi$
$954$	1.07958e14	−	2.96611e14i	0.136619	−	0.375358i
$955$	4.63117e14	+	6.04208e14i	0.583007	+	0.760623i
$956$	1.56099e15	−	1.30983e15i	1.95484	−	1.64030i
$957$	2.30846e13	−	8.61528e13i	0.0287582	−	0.107327i
$958$	−3.74673e14	−	1.39830e15i	−0.464328	−	1.73289i
$959$	5.94183e14	−	1.04770e14i	0.732533	−	0.129165i
$960$	2.74903e14	+	8.68369e13i	0.337150	+	0.106500i
$961$	3.03293e14	−	5.25319e14i	0.370038	−	0.640924i
$962$	3.43221e13	−	1.28092e14i	0.0416580	−	0.155470i
$963$	−4.28589e13	+	4.89879e14i	−0.0517499	+	0.591504i
$964$	−6.35040e14	−	1.74476e15i	−0.762810	−	2.09580i
$965$	3.46771e12	+	3.78837e12i	0.00414387	+	0.00452705i
$966$	−3.64933e14	−	3.06215e14i	−0.433837	−	0.364033i
$967$	7.26864e14	−	5.08956e14i	0.859648	−	0.601932i	−0.0584477	−	0.998290i	$-0.518615\pi$
$967$	7.26864e14	−	5.08956e14i	0.859648	−	0.601932i	0.918096	+	0.396358i	$0.129726\pi$
$968$	−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	−0.506263	−	0.862379i	$-0.668973\pi$
$971$	2.28239e14	−	1.29441e15i	0.264420	−	1.49960i	0.770682	−	0.637219i	$-0.219916\pi$
$972$	−1.26558e14	−	1.44656e15i	−0.145867	−	1.66727i
$973$	−3.13951e14	+	1.46398e14i	−0.359995	+	0.167869i
$974$	−1.34241e14	−	3.68824e14i	−0.153141	−	0.420751i
$975$	2.35866e13	+	6.34682e12i	0.0267696	+	0.00720333i
$976$	−6.42185e14	−	1.11230e15i	−0.725122	−	1.25595i
$977$	−1.35969e15	+	3.64328e14i	−1.52745	+	0.409279i	−0.922187	−	0.386745i	$-0.873599\pi$
$977$	−1.35969e15	+	3.64328e14i	−1.52745	+	0.409279i	−0.605264	+	0.796025i	$0.706933\pi$
$978$	7.28620e14	+	5.10185e14i	0.814342	+	0.570208i
$979$	1.11921e15	−	1.97348e14i	1.24451	−	0.219441i
$980$	9.06489e14	+	2.01468e14i	1.00284	+	0.222882i
$981$	4.98335e14	+	8.63142e14i	0.548500	+	0.950029i
$982$	2.01867e15	+	1.76611e14i	2.21059	+	0.193402i
$983$	6.06279e14	−	1.30017e15i	0.660549	−	1.41655i	−0.235181	−	0.971952i	$-0.575568\pi$
$983$	6.06279e14	−	1.30017e15i	0.660549	−	1.41655i	0.895729	−	0.444600i	$-0.146654\pi$
$984$	7.62181e12	−	2.09407e13i	0.00826195	−	0.0226995i
$985$	−1.01170e15	+	4.18431e14i	−1.09111	+	0.451276i
$986$	−1.23450e14	+	7.00118e14i	−0.132466	+	0.751254i
$987$	−1.08102e14	−	1.08102e14i	−0.115411	−	0.115411i
$988$	−5.80267e13	−	1.45580e14i	−0.0616372	−	0.154638i
$989$			2.31989e15i			2.45180i
$990$	−7.90597e14	+	1.02920e15i	−0.831341	+	1.08224i
$991$	−6.70895e14	−	5.62948e14i	−0.701918	−	0.588979i	0.220401	−	0.975409i	$-0.429263\pi$
$991$	−6.70895e14	−	5.62948e14i	−0.701918	−	0.588979i	−0.922319	+	0.386430i	$0.873708\pi$
$992$	−1.84019e13	−	3.94629e13i	−0.0191559	−	0.0410800i
$993$	2.18997e14	−	4.69641e14i	0.226826	−	0.486430i
$994$	7.70006e13	+	9.17658e13i	0.0793528	+	0.0945690i
$995$	−5.72991e14	−	5.25608e14i	−0.587533	−	0.538948i
$996$	−4.50128e14	+	7.79644e14i	−0.459240	+	0.795426i
$997$	1.04279e15	−	1.48925e15i	1.05857	−	1.51179i	0.213641	−	0.976912i	$-0.431468\pi$
$997$	1.04279e15	−	1.48925e15i	1.05857	−	1.51179i	0.844928	−	0.534881i	$-0.179643\pi$
$998$	−2.35866e14	−	1.65155e14i	−0.238239	−	0.166817i
$999$	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.17.9	✓	1176
5.3	odd	4	inner	95.11.q.a.93.90	yes	1176
19.9	even	9	inner	95.11.q.a.47.90	yes	1176
95.28	odd	36	inner	95.11.q.a.28.9	yes	1176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.11.q.a.17.9	✓	1176	1.1	even	1	trivial
95.11.q.a.28.9	yes	1176	95.28	odd	36	inner
95.11.q.a.47.90	yes	1176	19.9	even	9	inner
95.11.q.a.93.90	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+(-45.2039 + 31.6521i) q^{2} +(79.5717 - 6.96162i) q^{3} +(691.310 - 1899.36i) q^{4} +(1901.07 + 2480.24i) q^{5} +(-3376.60 + 2833.31i) q^{6} +(-3012.33 + 11242.2i) q^{7} +(14243.4 + 53157.1i) q^{8} +(-51868.7 + 9145.86i) q^{9} +(-164440. - 51943.7i) q^{10} +(-71443.4 + 123744. i) q^{11} +(41786.1 - 155948. i) q^{12} +(2729.15 - 31194.3i) q^{13} +(-219669. - 603537. i) q^{14} +(168537. + 184122. i) q^{15} +(-740864. - 621659. i) q^{16} +(-1.35037e6 + 945541. i) 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} +(-687227. - 7.85504e6i) q^{22} +(8.41593e6 - 3.92441e6i) q^{23} +(1.50343e6 + 4.13065e6i) q^{24} +(-2.53753e6 + 9.43018e6i) q^{25} +(863998. + 1.49649e6i) q^{26} +(-8.61947e6 + 2.30958e6i) q^{27} +(1.92704e7 + 1.34933e7i) q^{28} +(-7.69610e6 + 1.35703e6i) q^{29} +(-1.34464e7 - 2.98848e6i) q^{30} +(7.29797e6 + 1.26405e7i) q^{31} +(-2.97184e6 - 260002. i) q^{32} +(-4.82342e6 + 1.03439e7i) q^{33} +(3.11138e7 - 8.54844e7i) q^{34} +(-3.36099e7 + 1.39008e7i) q^{35} +(-1.84861e7 + 1.04840e8i) q^{36} +(-5.42649e7 - 5.42649e7i) q^{37} +(-1.35220e8 - 1.96501e7i) q^{38} -2.50118e6i q^{39} +(-1.04765e8 + 1.36382e8i) q^{40} +(-3.88354e6 - 3.25868e6i) q^{41} +(-2.16811e7 - 4.64952e7i) q^{42} +(-1.05582e8 + 2.26421e8i) q^{43} +(1.85644e8 + 2.21242e8i) q^{44} +(-1.21290e8 - 1.11260e8i) q^{45} +(-2.56217e8 + 4.43781e8i) q^{46} +(-9.43231e7 + 1.34707e8i) q^{47} +(-6.32796e7 - 4.43088e7i) q^{48} +(1.27319e8 + 7.35074e7i) q^{49} +(-1.83779e8 - 5.06600e8i) q^{50} +(-1.00869e8 + 8.46391e7i) q^{51} +(-5.73625e7 - 2.67486e7i) q^{52} +(9.84264e7 - 4.58970e7i) q^{53} +(3.16531e8 - 3.77227e8i) q^{54} +(-4.42732e8 + 5.80481e7i) q^{55} -6.40507e8 q^{56} +(1.55281e8 + 1.22494e8i) q^{57} +(3.04941e8 - 3.04941e8i) q^{58} +(-6.67414e8 - 1.17683e8i) q^{59} +(4.66225e8 - 1.92827e8i) q^{60} +(1.24793e9 + 4.54210e8i) q^{61} +(-7.29995e8 - 3.40402e8i) q^{62} +(5.34265e7 - 6.10667e8i) q^{63} +(1.00023e9 - 5.77482e8i) q^{64} +(8.25576e7 - 5.25335e7i) q^{65} +(-1.09368e8 - 6.20254e8i) q^{66} +(2.51833e8 - 3.59654e8i) q^{67} +(8.62395e8 + 3.21850e9i) q^{68} +(6.42349e8 - 3.70861e8i) q^{69} +(1.07931e9 - 1.69220e9i) q^{70} +(-1.75265e8 + 6.37911e7i) q^{71} +(-1.22496e9 - 2.62693e9i) q^{72} +(-1.35166e8 + 1.18255e7i) 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} +(7.91678e7 + 1.13063e8i) q^{78} +(-2.07558e8 + 2.47358e8i) q^{79} +(1.33430e8 - 3.01933e9i) q^{80} +(2.25270e9 - 8.19915e8i) q^{81} +(2.78696e8 + 2.43827e7i) q^{82} +(-5.38610e9 - 1.44320e9i) q^{83} +(1.62732e9 + 9.39532e8i) q^{84} +(-4.91231e9 - 1.55171e9i) q^{85} +(-2.39399e9 - 1.35770e10i) q^{86} +(-6.02944e8 + 1.61558e8i) q^{87} +(-7.59546e9 - 2.03520e9i) q^{88} +(-5.11255e9 - 6.09289e9i) q^{89} +(9.00439e9 + 1.19031e9i) q^{90} +(3.42471e8 + 1.24649e8i) q^{91} +(-1.63585e9 - 1.86978e10i) q^{92} +(6.68710e8 + 9.55017e8i) q^{93} -9.07483e9i q^{94} +(-7.81776e8 + 7.69822e9i) q^{95} -2.38284e8 q^{96} +(7.16294e9 - 5.01554e9i) q^{97} +(-8.08197e9 + 7.07081e8i) 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

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