LMFDB - Embedded newform 95.11.q.a.17.3

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			17.3
Character	$\chi$	$=$	95.17
Dual form			95.11.q.a.28.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-49.6554 + 34.7691i) q^{2} +(-103.426 + 9.04863i) q^{3} +(906.541 - 2490.70i) q^{4} +(1047.53 - 2944.20i) q^{5} +(4821.06 - 4045.35i) q^{6} +(-2245.69 + 8381.04i) q^{7} +(25519.1 + 95238.6i) q^{8} +(-47536.8 + 8382.02i) q^{9} +(50351.4 + 182617. i) q^{10} +(-51517.7 + 89231.3i) q^{11} +(-71222.8 + 265807. i) q^{12} +(47258.7 - 540169. i) q^{13} +(-179890. - 494245. i) q^{14} +(-81701.5 + 313986. i) q^{15} +(-2.49935e6 - 2.09721e6i) q^{16} +(-155537. + 108908. i) q^{17} +(2.06902e6 - 2.06902e6i) q^{18} +(332813. - 2.45363e6i) q^{19} +(-6.38349e6 - 5.27813e6i) q^{20} +(156427. - 887140. i) q^{21} +(-544358. - 6.22204e6i) q^{22} +(-368922. + 172031. i) q^{23} +(-3.50113e6 - 9.61926e6i) q^{24} +(-7.57097e6 - 6.16829e6i) q^{25} +(1.64345e7 + 2.84655e7i) q^{26} +(1.07624e7 - 2.88377e6i) q^{27} +(1.88389e7 + 1.31911e7i) q^{28} +(-1.63341e7 + 2.88015e6i) q^{29} +(-6.86009e6 - 1.84318e7i) q^{30} +(5.43472e6 + 9.41322e6i) q^{31} +(9.64439e7 + 8.43775e6i) q^{32} +(4.52086e6 - 9.69503e6i) q^{33} +(3.93662e6 - 1.08158e7i) q^{34} +(2.23230e7 + 1.53912e7i) q^{35} +(-2.22170e7 + 1.25999e8i) q^{36} +(-1.77633e7 - 1.77633e7i) q^{37} +(6.87846e7 + 1.33408e8i) q^{38} +5.62953e7i q^{39} +(3.07133e8 + 2.46323e7i) q^{40} +(-1.53455e8 - 1.28764e8i) q^{41} +(2.30776e7 + 4.94901e7i) q^{42} +(6.53279e7 - 1.40096e8i) q^{43} +(1.75546e8 + 2.09207e8i) q^{44} +(-2.51180e7 + 1.48738e8i) q^{45} +(1.23376e7 - 2.13693e7i) q^{46} +(1.22026e8 - 1.74272e8i) q^{47} +(2.77476e8 + 1.94290e8i) q^{48} +(1.79432e8 + 1.03595e8i) q^{49} +(5.90406e8 + 4.30531e7i) q^{50} +(1.51012e7 - 1.26714e7i) q^{51} +(-1.30256e9 - 6.07393e8i) q^{52} +(7.51797e7 - 3.50569e7i) q^{53} +(-4.34144e8 + 5.17392e8i) q^{54} +(2.08748e8 + 2.45151e8i) q^{55} -8.55507e8 q^{56} +(-1.22196e7 + 2.56781e8i) q^{57} +(7.10938e8 - 7.10938e8i) q^{58} +(6.08827e8 + 1.07353e8i) q^{59} +(7.07980e8 + 4.88135e8i) q^{60} +(4.18062e8 + 1.52162e8i) q^{61} +(-5.97152e8 - 2.78457e8i) q^{62} +(3.65030e7 - 4.17231e8i) q^{63} +(-2.18896e9 + 1.26380e9i) q^{64} +(-1.54086e9 - 7.04984e8i) q^{65} +(1.12602e8 + 6.38597e8i) q^{66} +(9.84202e8 - 1.40559e9i) q^{67} +(1.30257e8 + 4.86127e8i) q^{68} +(3.65996e7 - 2.11308e7i) q^{69} +(-1.64359e9 + 1.18950e7i) q^{70} +(-1.94489e9 + 7.07882e8i) q^{71} +(-2.01139e9 - 4.31344e9i) q^{72} +(3.21611e8 - 2.81373e7i) q^{73} +(1.49965e9 + 2.64429e8i) q^{74} +(8.38852e8 + 5.69456e8i) q^{75} +(-5.80955e9 - 3.05325e9i) q^{76} +(-6.32158e8 - 6.32158e8i) q^{77} +(-1.95734e9 - 2.79537e9i) q^{78} +(-2.99041e9 + 3.56383e9i) q^{79} +(-8.79274e9 + 5.16170e9i) q^{80} +(1.59139e9 - 5.79219e8i) q^{81} +(1.20968e10 + 1.05834e9i) q^{82} +(-2.21291e9 - 5.92949e8i) q^{83} +(-2.06779e9 - 1.19384e9i) q^{84} +(1.57717e8 + 5.72018e8i) q^{85} +(1.62713e9 + 9.22792e9i) q^{86} +(1.66332e9 - 4.45684e8i) q^{87} +(-9.81295e9 - 2.62937e9i) q^{88} +(6.05963e9 + 7.22158e9i) q^{89} +(-3.92424e9 - 8.25899e9i) q^{90} +(4.42105e9 + 1.60913e9i) q^{91} +(9.40352e7 + 1.07483e9i) q^{92} +(-6.47270e8 - 9.24397e8i) q^{93} +1.28963e10i q^{94} +(-6.87534e9 - 3.55013e9i) q^{95} -1.00512e10 q^{96} +(-1.37246e10 + 9.61007e9i) q^{97} +(-1.25117e10 + 1.09463e9i) q^{98} +(1.70105e9 - 4.67359e9i) 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 $

$2$	−49.6554	+	34.7691i	−1.55173	+	1.08653i	−0.591880	+	0.806026i	$0.701614\pi$
$2$	−49.6554	+	34.7691i	−1.55173	+	1.08653i	−0.959852	+	0.280508i	$0.909497\pi$
$3$	−103.426	+	9.04863i	−0.425623	+	0.0372371i	−0.297955	−	0.954580i	$-0.596305\pi$
$3$	−103.426	+	9.04863i	−0.425623	+	0.0372371i	−0.127667	+	0.991817i	$0.540749\pi$
$4$	906.541	−	2490.70i	0.885294	−	2.43233i
$5$	1047.53	−	2944.20i	0.335211	−	0.942143i
$5$	1047.53	−	2944.20i	0.335211	−	0.942143i
$6$	4821.06	−	4045.35i	0.619992	−	0.520235i
$7$	−2245.69	+	8381.04i	−0.133617	+	0.498664i	−1.00000		0.000716112i	$-0.999772\pi$
$7$	−2245.69	+	8381.04i	−0.133617	+	0.498664i	0.866383	+	0.499380i	$0.166439\pi$
$8$	25519.1	+	95238.6i	0.778781	+	2.90645i
$9$	−47536.8	+	8382.02i	−0.805040	+	0.141950i
$10$	50351.4	+	182617.i	0.503514	+	1.82617i
$11$	−51517.7	+	89231.3i	−0.319884	+	0.554056i	−0.980464	−	0.196700i	$-0.936977\pi$
$11$	−51517.7	+	89231.3i	−0.319884	+	0.554056i	0.660579	+	0.750756i	$0.270311\pi$
$12$	−71222.8	+	265807.i	−0.286228	+	1.06822i
$13$	47258.7	−	540169.i	0.127281	−	1.45483i	−0.616998	−	0.786964i	$-0.711652\pi$
$13$	47258.7	−	540169.i	0.127281	−	1.45483i	0.744280	−	0.667868i	$-0.232793\pi$
$14$	−179890.	−	494245.i	−0.334478	−	0.918971i
$15$	−81701.5	+	313986.i	−0.107590	+	0.413480i
$16$	−2.49935e6	−	2.09721e6i	−2.38357	−	2.00005i
$17$	−155537.	+	108908.i	−0.109544	+	0.0767038i	−0.627065	−	0.778967i	$-0.715744\pi$
$17$	−155537.	+	108908.i	−0.109544	+	0.0767038i	0.517521	+	0.855671i	$0.326855\pi$
$18$	2.06902e6	−	2.06902e6i	1.09497	−	1.09497i
$19$	332813.	−	2.45363e6i	0.134410	−	0.990926i
$19$	332813.	−	2.45363e6i	0.134410	−	0.990926i
$20$	−6.38349e6	−	5.27813e6i	−1.99484	−	1.64942i
$21$	156427.	−	887140.i	0.0383014	−	0.217218i
$22$	−544358.	−	6.22204e6i	−0.105626	−	1.20731i
$23$	−368922.	+	172031.i	−0.0573185	+	0.0267281i	−0.451066	−	0.892491i	$-0.648956\pi$
$23$	−368922.	+	172031.i	−0.0573185	+	0.0267281i	0.393748	+	0.919219i	$0.371178\pi$
$24$	−3.50113e6	−	9.61926e6i	−0.439695	−	1.20805i
$25$	−7.57097e6	−	6.16829e6i	−0.775268	−	0.631633i
$26$	1.64345e7	+	2.84655e7i	1.38322	+	2.39580i
$27$	1.07624e7	−	2.88377e6i	0.750047	−	0.200975i
$28$	1.88389e7	+	1.31911e7i	1.09462	+	0.766463i
$29$	−1.63341e7	+	2.88015e6i	−0.796354	+	0.140419i	−0.556999	−	0.830513i	$-0.688047\pi$
$29$	−1.63341e7	+	2.88015e6i	−0.796354	+	0.140419i	−0.239355	+	0.970932i	$0.576936\pi$
$30$	−6.86009e6	−	1.84318e7i	−0.282308	−	0.758510i
$31$	5.43472e6	+	9.41322e6i	0.189832	+	0.328798i	0.945194	−	0.326509i	$-0.105872\pi$
$31$	5.43472e6	+	9.41322e6i	0.189832	+	0.328798i	−0.755362	+	0.655307i	$0.772539\pi$
$32$	9.64439e7	+	8.43775e6i	2.87425	+	0.251465i
$33$	4.52086e6	−	9.69503e6i	0.115519	−	0.247730i
$34$	3.93662e6	−	1.08158e7i	0.0866422	−	0.238047i
$35$	2.23230e7	+	1.53912e7i	0.425023	+	0.293043i
$36$	−2.22170e7	+	1.25999e8i	−0.367428	+	2.08379i
$37$	−1.77633e7	−	1.77633e7i	−0.256161	−	0.256161i	0.567329	−	0.823491i	$-0.307977\pi$
$37$	−1.77633e7	−	1.77633e7i	−0.256161	−	0.256161i	−0.823491	+	0.567329i	$0.807977\pi$
$38$	6.87846e7	+	1.33408e8i	0.868106	+	1.68369i
$39$			5.62953e7i			0.623949i
$40$	3.07133e8	+	2.46323e7i	2.99935	+	0.240550i
$41$	−1.53455e8	−	1.28764e8i	−1.32453	−	1.11141i	−0.985324	−	0.170696i	$-0.945398\pi$
$41$	−1.53455e8	−	1.28764e8i	−1.32453	−	1.11141i	−0.339202	−	0.940713i	$-0.610157\pi$
$42$	2.30776e7	+	4.94901e7i	0.176581	+	0.378680i
$43$	6.53279e7	−	1.40096e8i	0.444382	−	0.952980i	−0.548751	−	0.835986i	$-0.684896\pi$
$43$	6.53279e7	−	1.40096e8i	0.444382	−	0.952980i	0.993133	−	0.116994i	$-0.0373259\pi$
$44$	1.75546e8	+	2.09207e8i	1.06445	+	1.26857i
$45$	−2.51180e7	+	1.48738e8i	−0.136120	+	0.806046i
$46$	1.23376e7	−	2.13693e7i	0.0599020	−	0.103753i
$47$	1.22026e8	−	1.74272e8i	0.532065	−	0.759867i	−0.459681	−	0.888084i	$-0.652036\pi$
$47$	1.22026e8	−	1.74272e8i	0.532065	−	0.759867i	0.991746	+	0.128217i	$0.0409252\pi$
$48$	2.77476e8	+	1.94290e8i	1.08898	+	0.762510i
$49$	1.79432e8	+	1.03595e8i	0.635213	+	0.366741i
$50$	5.90406e8	+	4.30531e7i	1.88930	+	0.137770i
$51$	1.51012e7	−	1.26714e7i	0.0437683	−	0.0367260i
$52$	−1.30256e9	−	6.07393e8i	−3.42594	−	1.59754i
$53$	7.51797e7	−	3.50569e7i	0.179772	−	0.0838289i	−0.330649	−	0.943754i	$-0.607268\pi$
$53$	7.51797e7	−	3.50569e7i	0.179772	−	0.0838289i	0.510420	+	0.859925i	$0.329490\pi$
$54$	−4.34144e8	+	5.17392e8i	−0.945507	+	1.12681i
$55$	2.08748e8	+	2.45151e8i	0.414772	+	0.487102i
$56$	−8.55507e8			−1.55340
$57$	−1.22196e7	+	2.56781e8i	−0.0203087	+	0.426765i
$58$	7.10938e8	−	7.10938e8i	1.08316	−	1.08316i
$59$	6.08827e8	+	1.07353e8i	0.851596	+	0.150159i	0.582376	−	0.812919i	$-0.302123\pi$
$59$	6.08827e8	+	1.07353e8i	0.851596	+	0.150159i	0.269220	+	0.963079i	$0.413234\pi$
$60$	7.07980e8	+	4.88135e8i	0.910468	+	0.627746i
$61$	4.18062e8	+	1.52162e8i	0.494984	+	0.180159i	0.577437	−	0.816436i	$-0.304053\pi$
$61$	4.18062e8	+	1.52162e8i	0.494984	+	0.180159i	−0.0824526	+	0.996595i	$0.526275\pi$
$62$	−5.97152e8	−	2.78457e8i	−0.651819	−	0.303948i
$63$	3.65030e7	−	4.17231e8i	0.0367812	−	0.420411i
$64$	−2.18896e9	+	1.26380e9i	−2.03863	+	1.17700i
$65$	−1.54086e9	−	7.04984e8i	−1.32799	−	0.607592i
$66$	1.12602e8	+	6.38597e8i	0.0899137	+	0.509926i
$67$	9.84202e8	−	1.40559e9i	0.728971	−	1.04108i	−0.268009	−	0.963416i	$-0.586366\pi$
$67$	9.84202e8	−	1.40559e9i	0.728971	−	1.04108i	0.996980	−	0.0776616i	$-0.0247454\pi$
$68$	1.30257e8	+	4.86127e8i	0.0895897	+	0.334353i
$69$	3.65996e7	−	2.11308e7i	0.0234008	−	0.0135104i
$70$	−1.64359e9	+	1.18950e7i	−0.977923	+	0.00707743i
$71$	−1.94489e9	+	7.07882e8i	−1.07796	+	0.392346i	−0.819149	−	0.573581i	$-0.805554\pi$
$71$	−1.94489e9	+	7.07882e8i	−1.07796	+	0.392346i	−0.258813	+	0.965927i	$0.583331\pi$
$72$	−2.01139e9	−	4.31344e9i	−1.03952	−	2.22926i
$73$	3.21611e8	−	2.81373e7i	0.155137	−	0.0135728i	−0.00932240	−	0.999957i	$-0.502967\pi$
$73$	3.21611e8	−	2.81373e7i	0.155137	−	0.0135728i	0.164460	+	0.986384i	$0.447412\pi$
$74$	1.49965e9	+	2.64429e8i	0.675822	+	0.119166i
$75$	8.38852e8	+	5.69456e8i	0.353492	+	0.239968i
$76$	−5.80955e9	−	3.05325e9i	−2.29126	−	1.20419i
$77$	−6.32158e8	−	6.32158e8i	−0.233546	−	0.233546i
$78$	−1.95734e9	−	2.79537e9i	−0.677942	−	0.968201i
$79$	−2.99041e9	+	3.56383e9i	−0.971840	+	1.15819i	0.0155483	+	0.999879i	$0.495051\pi$
$79$	−2.99041e9	+	3.56383e9i	−0.971840	+	1.15819i	−0.987389	+	0.158315i	$0.949394\pi$
$80$	−8.79274e9	+	5.16170e9i	−2.68333	+	1.57522i
$81$	1.59139e9	−	5.79219e8i	0.456407	−	0.166118i
$82$	1.20968e10	+	1.05834e9i	3.26289	+	0.285466i
$83$	−2.21291e9	−	5.92949e8i	−0.561790	−	0.150531i	−0.0332615	−	0.999447i	$-0.510589\pi$
$83$	−2.21291e9	−	5.92949e8i	−0.561790	−	0.150531i	−0.528529	+	0.848915i	$0.677256\pi$
$84$	−2.06779e9	−	1.19384e9i	−0.494437	−	0.285463i
$85$	1.57717e8	+	5.72018e8i	0.0355455	+	0.128918i
$86$	1.62713e9	+	9.22792e9i	0.345884	+	1.96161i
$87$	1.66332e9	−	4.45684e8i	0.333717	−	0.0894193i
$88$	−9.81295e9	−	2.62937e9i	−1.85946	−	0.498240i
$89$	6.05963e9	+	7.22158e9i	1.08517	+	1.29325i	0.953314	+	0.301980i	$0.0976476\pi$
$89$	6.05963e9	+	7.22158e9i	1.08517	+	1.29325i	0.131851	+	0.991270i	$0.457908\pi$
$90$	−3.92424e9	−	8.25899e9i	−0.664574	−	1.39867i
$91$	4.42105e9	+	1.60913e9i	0.708465	+	0.257860i
$92$	9.40352e7	+	1.07483e9i	0.0142676	+	0.163080i
$93$	−6.47270e8	−	9.24397e8i	−0.0930402	−	0.132875i
$94$			1.28963e10i			1.75722i
$95$	−6.87534e9	−	3.55013e9i	−0.888538	−	0.458802i
$96$	−1.00512e10			−1.23271
$97$	−1.37246e10	+	9.61007e9i	−1.59824	+	1.11910i	−0.673044	+	0.739603i	$0.735013\pi$
$97$	−1.37246e10	+	9.61007e9i	−1.59824	+	1.11910i	−0.925194	+	0.379495i	$0.876098\pi$
$98$	−1.25117e10	+	1.09463e9i	−1.38416	+	0.121098i
$99$	1.70105e9	−	4.67359e9i	0.178871	−	0.491445i
$100$	−2.22268e10	+	1.32652e10i	−2.22268	+	1.32652i
$101$	−1.75216e9	+	1.47023e9i	−0.166712	+	0.139888i	−0.722327	−	0.691552i	$-0.756927\pi$
$101$	−1.75216e9	+	1.47023e9i	−0.166712	+	0.139888i	0.555615	+	0.831440i	$0.312483\pi$
$102$	−3.09282e8	+	1.15426e9i	−0.0280127	+	0.104545i
$103$	−5.34813e9	−	1.99595e10i	−0.461334	−	1.72172i	−0.668766	−	0.743473i	$-0.733177\pi$
$103$	−5.34813e9	−	1.99595e10i	−0.461334	−	1.72172i	0.207432	−	0.978250i	$-0.433490\pi$
$104$	5.26510e10	−	9.28378e9i	4.32752	−	0.763059i
$105$	−2.44805e9	−	1.38986e9i	−0.191811	−	0.108899i
$106$	−2.51418e9	+	4.35469e9i	−0.187874	+	0.325408i
$107$	8.15979e8	−	3.04528e9i	0.0581782	−	0.217124i	−0.930717	−	0.365741i	$-0.880816\pi$
$107$	8.15979e8	−	3.04528e9i	0.0581782	−	0.217124i	0.988895	+	0.148617i	$0.0474822\pi$
$108$	2.57392e9	−	2.94201e10i	0.175177	−	2.00228i
$109$	−7.47055e9	−	2.05252e10i	−0.485535	−	1.33400i	−0.904686	−	0.426079i	$-0.859894\pi$
$109$	−7.47055e9	−	2.05252e10i	−0.485535	−	1.33400i	0.419151	−	0.907917i	$-0.362328\pi$
$110$	−1.88892e10	−	4.91510e9i	−1.17287	−	0.305189i
$111$	1.99792e9	+	1.67645e9i	0.118567	+	0.0994894i
$112$	2.31895e10	−	1.62375e10i	1.31584	−	0.921359i
$113$	1.70429e9	−	1.70429e9i	0.0925020	−	0.0925020i	−0.659342	−	0.751844i	$-0.729165\pi$
$113$	1.70429e9	−	1.70429e9i	0.0925020	−	0.0925020i	0.751844	+	0.659342i	$0.229165\pi$
$114$	−8.32129e9	−	1.31754e10i	−0.432181	−	0.684291i
$115$	1.20036e8	+	1.26639e9i	0.00596789	+	0.0629618i
$116$	−7.63397e9	+	4.32944e10i	−0.363463	+	2.06130i
$117$	2.28118e9	+	2.60740e10i	0.104047	+	1.18927i
$118$	−3.39641e10	+	1.58377e10i	−1.48460	+	0.692281i
$119$	−5.63477e8	−	1.54814e9i	−0.0236125	−	0.0648747i
$120$	−3.19886e10	+	2.31508e8i	−1.28555	+	0.00930377i
$121$	7.66056e9	+	1.32685e10i	0.295348	+	0.511557i
$122$	−2.60496e10	+	6.97996e9i	−0.963831	+	0.258258i
$123$	1.70364e10	+	1.19290e10i	0.605134	+	0.423719i
$124$	2.83723e10	−	5.00280e9i	0.967802	−	0.170650i
$125$	−2.60915e10	+	1.58290e10i	−0.854967	+	0.518683i
$126$	1.26942e10	+	2.19870e10i	0.399716	+	0.692329i
$127$	2.83626e10	+	2.48140e9i	0.858474	+	0.0751068i	0.507887	−	0.861423i	$-0.330427\pi$
$127$	2.83626e10	+	2.48140e9i	0.858474	+	0.0751068i	0.350587	+	0.936530i	$0.385982\pi$
$128$	2.28561e10	−	4.90151e10i	0.665201	−	1.42653i
$129$	−5.48894e9	+	1.50807e10i	−0.153653	+	0.422157i
$130$	1.01024e11	−	1.85680e10i	2.72086	−	0.500091i
$131$	1.66985e9	−	9.47020e9i	0.0432834	−	0.245472i	−0.955488	−	0.295031i	$-0.904670\pi$
$131$	1.66985e9	−	9.47020e9i	0.0432834	−	0.245472i	0.998771	+	0.0495581i	$0.0157813\pi$
$132$	−2.00491e10	−	2.00491e10i	−0.500293	−	0.500293i
$133$	1.98166e10	+	8.29942e9i	0.476179	+	0.199429i
$134$			1.04015e11i			2.40753i
$135$	2.78355e9	−	3.47074e10i	0.0620770	−	0.774021i
$136$	−1.43415e10	−	1.20339e10i	−0.308247	−	0.258650i
$137$	2.71256e10	+	5.81711e10i	0.562053	+	1.20533i	0.957924	+	0.287020i	$0.0926647\pi$
$137$	2.71256e10	+	5.81711e10i	0.562053	+	1.20533i	−0.395872	+	0.918306i	$0.629557\pi$
$138$	−1.08267e9	+	2.32179e9i	−0.0216322	+	0.0463903i
$139$	−9.61747e9	−	1.14617e10i	−0.185348	−	0.220889i	0.665367	−	0.746516i	$-0.268275\pi$
$139$	−9.61747e9	−	1.14617e10i	−0.185348	−	0.220889i	−0.850715	+	0.525628i	$0.823831\pi$
$140$	5.85716e10	−	4.16472e10i	1.08905	−	0.774365i
$141$	−1.10438e10	+	1.91285e10i	−0.198164	+	0.343229i
$142$	7.19619e10	−	1.02772e11i	1.24641	−	1.78006i
$143$	4.57653e10	+	3.20452e10i	0.765343	+	0.535899i
$144$	1.36390e11	+	7.87448e10i	2.20278	+	1.27177i
$145$	−8.63082e9	+	5.11079e10i	−0.134652	+	0.797349i
$146$	−1.49914e10	+	1.25793e10i	−0.225984	+	0.189623i
$147$	−1.94954e10	−	9.09085e9i	−0.284018	−	0.132440i
$148$	−6.03461e10	+	2.81398e10i	−0.849846	+	0.396290i
$149$	−5.62354e9	+	6.70187e9i	−0.0765734	+	0.0912567i	−0.802971	−	0.596018i	$-0.796749\pi$
$149$	−5.62354e9	+	6.70187e9i	−0.0765734	+	0.0912567i	0.726398	+	0.687275i	$0.241193\pi$
$150$	−6.14530e10	+	8.89543e8i	−0.809258	+	0.0117141i
$151$	−1.12610e11			−1.43447			−0.717236	−	0.696831i	$-0.754593\pi$
$151$	−1.12610e11			−1.43447			−0.717236	+	0.696831i	$0.754593\pi$
$152$	2.42173e11	−	3.09178e10i	2.98475	−	0.381058i
$153$	6.48088e9	−	6.48088e9i	0.0772995	−	0.0772995i
$154$	5.33696e10	+	9.41051e9i	0.616156	+	0.108645i
$155$	3.34074e10	−	6.14024e9i	0.373409	−	0.0686320i
$156$	1.40215e11	+	5.10340e10i	1.51765	+	0.552378i
$157$	−1.15458e11	−	5.38392e10i	−1.21040	−	0.564417i	−0.290612	−	0.956841i	$-0.593859\pi$
$157$	−1.15458e11	−	5.38392e10i	−1.21040	−	0.564417i	−0.919784	+	0.392424i	$0.871637\pi$
$158$	2.45788e10	−	2.80937e11i	0.249618	−	2.85314i
$159$	−7.45834e9	+	4.30607e9i	−0.0733933	+	0.0423737i
$160$	1.25871e11	−	2.75111e11i	1.20040	−	2.62366i
$161$	−6.13314e8	−	3.47828e9i	−0.00566961	−	0.0321540i
$162$	−5.88823e10	+	8.40926e10i	−0.527727	+	0.753673i
$163$	1.27267e10	+	4.74965e10i	0.110605	+	0.412785i	0.998921	−	0.0464491i	$-0.0147905\pi$
$163$	1.27267e10	+	4.74965e10i	0.110605	+	0.412785i	−0.888315	+	0.459234i	$0.848124\pi$
$164$	−4.59825e11	+	2.65480e11i	−3.87591	+	2.23775i
$165$	−2.38083e10	−	2.34662e10i	−0.194674	−	0.191877i
$166$	1.30499e11	−	4.74979e10i	1.03530	−	0.376820i
$167$	5.38622e10	+	1.15508e11i	0.414669	+	0.889260i	0.997080	+	0.0763659i	$0.0243317\pi$
$167$	5.38622e10	+	1.15508e11i	0.414669	+	0.889260i	−0.582411	+	0.812895i	$0.697891\pi$
$168$	8.84819e10	−	7.74116e9i	0.661162	−	0.0578442i
$169$	−1.53785e11	−	2.71165e10i	−1.11553	−	0.196698i
$170$	−2.77201e10	−	2.29201e10i	−0.195231	−	0.161425i
$171$	4.74553e9	+	1.19427e11i	0.0324567	+	0.816814i
$172$	−2.89715e11	−	2.89715e11i	−1.92455	−	1.92455i
$173$	8.65927e9	+	1.23667e10i	0.0558793	+	0.0798039i	0.846119	−	0.532994i	$-0.178933\pi$
$173$	8.65927e9	+	1.23667e10i	0.0558793	+	0.0798039i	−0.790240	+	0.612798i	$0.790044\pi$
$174$	−6.70966e10	+	7.99626e10i	−0.420682	+	0.501350i
$175$	6.86988e10	−	4.96005e10i	0.418561	−	0.302201i
$176$	3.15897e11	−	1.14977e11i	1.87061	−	0.680845i
$177$	−6.39401e10	−	5.59403e9i	−0.368050	−	0.0322002i
$178$	−5.51981e11	−	1.47903e11i	−3.08904	−	0.827707i
$179$	−8.33739e10	−	4.81359e10i	−0.453696	−	0.261941i	0.255694	−	0.966758i	$-0.417696\pi$
$179$	−8.33739e10	−	4.81359e10i	−0.453696	−	0.261941i	−0.709390	+	0.704816i	$0.751029\pi$
$180$	3.47692e11	+	1.97399e11i	1.84006	+	1.04468i
$181$	1.58024e10	+	8.96198e10i	0.0813448	+	0.461329i	0.998086	+	0.0618469i	$0.0196991\pi$
$181$	1.58024e10	+	8.96198e10i	0.0813448	+	0.461329i	−0.916741	+	0.399482i	$0.869190\pi$
$182$	−2.75477e11	+	7.38138e10i	−1.37952	+	0.369642i
$183$	−4.46154e10	−	1.19547e10i	−0.217385	−	0.0582481i
$184$	−2.57985e10	−	3.07455e10i	−0.122322	−	0.145778i
$185$	−7.09061e10	+	3.36909e10i	−0.327209	+	0.155473i
$186$	6.42809e10	+	2.33963e10i	0.288747	+	0.105095i
$187$	−1.70511e9	−	1.94895e10i	−0.00745667	−	0.0852301i
$188$	−3.23437e11	−	4.61916e11i	−1.37721	−	1.96686i
$189$			9.66758e10i			0.400875i
$190$	4.64832e11	−	6.27664e10i	1.87728	−	0.253489i
$191$	−1.09007e11			−0.428834			−0.214417	−	0.976742i	$-0.568785\pi$
$191$	−1.09007e11			−0.428834			−0.214417	+	0.976742i	$0.568785\pi$
$192$	2.14961e11	−	1.50517e11i	0.823859	−	0.576872i
$193$	7.31931e9	−	6.40357e8i	0.0273328	−	0.00239131i	−0.0734812	−	0.997297i	$-0.523411\pi$
$193$	7.31931e9	−	6.40357e8i	0.0273328	−	0.00239131i	0.100814	+	0.994905i	$0.467855\pi$
$194$	3.47367e11	−	9.54384e11i	1.26410	−	3.47308i
$195$	1.65744e11	+	5.89712e10i	0.587849	+	0.209154i
$196$	4.20687e11	−	3.52998e11i	1.45438	−	1.22037i
$197$	−6.16606e10	+	2.30121e11i	−0.207815	+	0.775576i	0.780758	+	0.624833i	$0.214833\pi$
$197$	−6.16606e10	+	2.30121e11i	−0.207815	+	0.775576i	−0.988573	+	0.150742i	$0.951834\pi$
$198$	7.80303e10	+	2.91213e11i	0.256411	+	0.956940i
$199$	−6.11308e11	+	1.07790e11i	−1.95882	+	0.345393i	−0.961256	+	0.275657i	$0.911105\pi$
$199$	−6.11308e11	+	1.07790e11i	−1.95882	+	0.345393i	−0.997565	+	0.0697360i	$0.977784\pi$
$200$	3.94255e11	−	8.78458e11i	1.23205	−	2.74518i
$201$	−8.90737e10	+	1.54280e11i	−0.271500	+	0.470251i
$202$	3.58854e10	−	1.33926e11i	0.106699	−	0.398206i
$203$	1.25428e10	−	1.43365e11i	0.0363843	−	0.415875i
$204$	−1.78708e10	−	4.90997e10i	−0.0505817	−	0.138972i
$205$	−5.39854e11	+	3.16916e11i	−1.49110	+	0.875337i
$206$	9.59537e11	+	8.05147e11i	2.58658	+	2.17040i
$207$	1.60954e10	−	1.12701e10i	0.0423496	−	0.0296535i
$208$	−1.25096e12	+	1.25096e12i	−3.21312	+	3.21312i
$209$	2.01795e11	+	1.56103e11i	0.506033	+	0.391453i
$210$	1.69883e11	−	1.61025e10i	0.415962	−	0.0394274i
$211$	−8.37593e10	+	4.75023e11i	−0.200272	+	1.13580i	0.704435	+	0.709768i	$0.251200\pi$
$211$	−8.37593e10	+	4.75023e11i	−0.200272	+	1.13580i	−0.904708	+	0.426033i	$0.859911\pi$
$212$	−1.91627e10	−	2.19031e11i	−0.0447484	−	0.511477i
$213$	1.94747e11	−	9.08122e10i	0.444195	−	0.207132i
$214$	6.53637e10	+	1.79585e11i	0.145636	+	0.400131i
$215$	−3.44038e11	−	3.39094e11i	−0.748882	−	0.738120i
$216$	5.49292e11	+	9.51401e11i	1.16825	+	2.02346i
$217$	−9.10972e10	+	2.44094e10i	−0.189324	+	0.0507293i
$218$	1.08460e12	+	7.59442e11i	2.20285	+	1.54245i
$219$	−3.30084e10	+	5.82028e9i	−0.0655246	+	0.0115538i
$220$	7.99837e11	−	2.97690e11i	1.55199	−	0.577631i
$221$	5.14785e10	+	8.91634e10i	0.0976482	+	0.169132i
$222$	−1.57496e11	−	1.37791e10i	−0.292082	−	0.0255539i
$223$	−3.76130e11	+	8.06612e11i	−0.682045	+	1.46265i	0.194288	+	0.980945i	$0.437760\pi$
$223$	−3.76130e11	+	8.06612e11i	−0.682045	+	1.46265i	−0.876333	+	0.481706i	$0.840017\pi$
$224$	−2.87300e11	+	7.89352e11i	−0.509444	+	1.39969i
$225$	4.11603e11	+	2.29761e11i	0.713782	+	0.398440i
$226$	−2.53706e10	+	1.43884e11i	−0.0430317	+	0.244045i
$227$	5.68954e11	+	5.68954e11i	0.943948	+	0.943948i	0.998510	−	0.0545621i	$-0.0173763\pi$
$227$	5.68954e11	+	5.68954e11i	0.943948	+	0.943948i	−0.0545621	+	0.998510i	$0.517376\pi$
$228$	6.28488e11	+	2.63218e11i	1.02005	+	0.427210i
$229$			1.65633e11i			0.263008i	0.991316	+	0.131504i	$0.0419807\pi$
$229$			1.65633e11i			0.263008i	−0.991316	+	0.131504i	$0.958019\pi$
$230$	−4.99915e10	−	5.87094e10i	−0.0776707	−	0.0912155i
$231$	7.11019e10	+	5.96616e10i	0.108099	+	0.0907058i
$232$	−6.91134e11	−	1.48214e12i	−1.02831	−	2.20521i
$233$	3.87379e10	−	8.30737e10i	0.0564100	−	0.120972i	−0.876082	−	0.482162i	$-0.839852\pi$
$233$	3.87379e10	−	8.30737e10i	0.0564100	−	0.120972i	0.932492	+	0.361190i	$0.117629\pi$
$234$	−1.01984e12	−	1.21540e12i	−1.45363	−	1.73237i
$235$	−3.85264e11	−	5.41825e11i	−0.537550	−	0.755997i
$236$	8.19310e11	−	1.41909e12i	1.11915	−	1.93842i
$237$	2.77039e11	−	3.95653e11i	0.370509	−	0.529142i
$238$	8.18071e10	+	5.72819e10i	0.107129	+	0.0750124i
$239$	7.02889e11	+	4.05813e11i	0.901357	+	0.520399i	0.877640	−	0.479320i	$-0.159117\pi$
$239$	7.02889e11	+	4.05813e11i	0.901357	+	0.520399i	0.0237171	+	0.999719i	$0.492450\pi$
$240$	8.62694e11	−	6.13417e11i	1.08343	−	0.770371i
$241$	3.03058e10	−	2.54295e10i	0.0372769	−	0.0312790i	−0.623959	−	0.781457i	$-0.714477\pi$
$241$	3.03058e10	−	2.54295e10i	0.0372769	−	0.0312790i	0.661236	+	0.750178i	$0.270032\pi$
$242$	−8.41721e11	−	3.92501e11i	−1.01413	−	0.472894i
$243$	−7.55633e11	+	3.52357e11i	−0.891825	+	0.415865i
$244$	7.57980e11	−	9.03326e11i	0.876413	−	1.04447i
$245$	4.92966e11	−	4.19764e11i	0.558452	−	0.475527i
$246$	−1.26071e12			−1.39939
$247$	−1.30965e12	−	2.95730e11i	−1.42452	−	0.321670i
$248$	−7.57812e11	+	7.57812e11i	−0.807799	+	0.807799i
$249$	2.34239e11	+	4.13026e10i	0.244716	+	0.0431500i
$250$	7.45226e11	−	1.69317e12i	0.763112	−	1.73381i
$251$	1.79224e12	+	6.52321e11i	1.79898	+	0.654776i	0.998460	+	0.0554746i	$0.0176672\pi$
$251$	1.79224e12	+	6.52321e11i	1.79898	+	0.654776i	0.800523	+	0.599302i	$0.204555\pi$
$252$	−1.00611e12	−	4.69155e11i	−0.990014	−	0.461651i
$253$	3.65545e9	−	4.17820e10i	0.00352646	−	0.0403076i
$254$	−1.49463e12	+	8.62926e11i	−1.41373	+	0.816216i
$255$	−2.14881e10	−	5.77346e10i	−0.0199295	−	0.0535470i
$256$	1.19835e11	+	6.79616e11i	0.108989	+	0.618107i
$257$	−1.12500e12	+	1.60667e12i	−1.00343	+	1.43305i	−0.104726	+	0.994501i	$0.533397\pi$
$257$	−1.12500e12	+	1.60667e12i	−1.00343	+	1.43305i	−0.898707	+	0.438550i	$0.855492\pi$
$258$	−2.51788e11	−	9.39686e11i	−0.220261	−	0.822024i
$259$	1.88765e11	−	1.08984e11i	0.161966	−	0.0935110i
$260$	−3.15276e12	+	3.19872e12i	−2.65353	+	2.69222i
$261$	7.52331e11	−	2.73826e11i	0.621164	−	0.226085i
$262$	2.46353e11	+	5.28306e11i	0.199550	+	0.427936i
$263$	1.63168e12	−	1.42754e11i	1.29675	−	0.113451i	0.582207	−	0.813041i	$-0.302189\pi$
$263$	1.63168e12	−	1.42754e11i	1.29675	−	0.113451i	0.714545	+	0.699590i	$0.246634\pi$
$264$	1.03871e12	+	1.83152e11i	0.809980	+	0.142821i
$265$	−2.44611e10	−	2.58067e11i	−0.0187175	−	0.197471i
$266$	−1.27256e12	+	2.76894e11i	−0.955589	+	0.207924i
$267$	−6.92070e11	−	6.92070e11i	−0.510028	−	0.510028i
$268$	−2.60867e12	−	3.72557e12i	−1.88689	−	2.69475i
$269$	−1.66737e12	+	1.98710e12i	−1.18378	+	1.41077i	−0.293138	+	0.956070i	$0.594700\pi$
$269$	−1.66737e12	+	1.98710e12i	−1.18378	+	1.41077i	−0.890642	+	0.454704i	$0.849745\pi$
$270$	1.06852e12	+	1.82019e12i	0.744673	+	1.26852i
$271$	−7.88937e11	+	2.87150e11i	−0.539754	+	0.196454i	−0.597488	−	0.801878i	$-0.703835\pi$
$271$	−7.88937e11	+	2.87150e11i	−0.539754	+	0.196454i	0.0577343	+	0.998332i	$0.481612\pi$
$272$	6.17146e11	+	5.39933e10i	0.414518	+	0.0362656i
$273$	−4.71813e11	−	1.26422e11i	−0.311141	−	0.0833699i
$274$	−3.36949e12	−	1.94538e12i	−2.18178	−	1.25965i
$275$	9.40444e11	−	3.57792e11i	0.597956	−	0.227492i
$276$	−1.94514e10	−	1.10314e11i	−0.0121452	−	0.0688790i
$277$	1.53359e12	−	4.10923e11i	0.940393	−	0.251978i	0.244112	−	0.969747i	$-0.421503\pi$
$277$	1.53359e12	−	4.10923e11i	0.940393	−	0.251978i	0.696281	+	0.717769i	$0.254837\pi$
$278$	8.76071e11	+	2.34742e11i	0.527613	+	0.141373i
$279$	−3.37251e11	−	4.01920e11i	−0.199495	−	0.237749i
$280$	−8.96172e11	+	2.51878e12i	−0.520716	+	1.46353i
$281$	−6.01724e11	−	2.19009e11i	−0.343452	−	0.125006i	0.164535	−	0.986371i	$-0.447388\pi$
$281$	−6.01724e11	−	2.19009e11i	−0.343452	−	0.125006i	−0.507986	+	0.861365i	$0.669610\pi$
$282$	−1.16694e11	−	1.33381e12i	−0.0654337	−	0.747911i
$283$	−7.25772e11	−	1.03651e12i	−0.399823	−	0.571007i	0.567876	−	0.823114i	$-0.307765\pi$
$283$	−7.25772e11	−	1.03651e12i	−0.399823	−	0.571007i	−0.967699	+	0.252107i	$0.918876\pi$
$284$			5.48587e12i			2.96930i
$285$	7.43215e11	+	3.04964e11i	0.395266	+	0.162190i
$286$	−3.38668e12			−1.76988
$287$	1.42379e12	−	9.96945e11i	0.731198	−	0.511990i
$288$	−4.65536e12	+	4.07291e11i	−2.34958	+	0.205562i
$289$	−6.77180e11	+	1.86054e12i	−0.335904	+	0.922888i
$290$	−1.34841e12	−	2.83787e12i	−0.657404	−	1.38358i
$291$	1.33253e12	−	1.11812e12i	0.638574	−	0.535827i
$292$	2.21472e11	−	8.26545e11i	0.104329	−	0.389361i
$293$	4.54219e11	+	1.69517e12i	0.210342	+	0.785009i	0.987754	+	0.156017i	$0.0498654\pi$
$293$	4.54219e11	+	1.69517e12i	0.210342	+	0.785009i	−0.777412	+	0.628992i	$0.783468\pi$
$294$	1.28413e12	−	2.26427e11i	0.584619	−	0.103084i
$295$	9.53834e11	−	1.68005e12i	0.426936	−	0.751991i
$296$	1.23845e12	−	2.14505e12i	0.545027	−	0.944015i
$297$	−2.97130e11	+	1.10890e12i	−0.128577	+	0.479857i
$298$	4.62211e10	−	5.28309e11i	0.0196679	−	0.224806i
$299$	7.54911e10	+	2.07410e11i	0.0315893	+	0.0867908i
$300$	2.17880e12	−	1.57309e12i	0.896625	−	0.647364i
$301$	1.02744e12	+	8.62128e11i	0.415840	+	0.348931i
$302$	5.59169e12	−	3.91534e12i	2.22591	−	1.55860i
$303$	1.67916e11	−	1.67916e11i	0.0657473	−	0.0657473i
$304$	−5.97758e12	+	5.43451e12i	−2.30228	+	2.09311i
$305$	8.85928e11	−	1.07146e12i	0.335660	−	0.405954i
$306$	−9.64764e10	+	5.47145e11i	−0.0359595	+	0.203937i
$307$	−3.38251e11	−	3.86623e12i	−0.124036	−	1.41774i	−0.761953	−	0.647632i	$-0.775759\pi$
$307$	−3.38251e11	−	3.86623e12i	−0.124036	−	1.41774i	0.637917	−	0.770105i	$-0.279796\pi$
$308$	−2.14759e12	+	1.00144e12i	−0.774816	+	0.361303i
$309$	7.33743e11	+	2.01594e12i	0.260466	+	0.715625i
$310$	−1.44537e12	+	1.46644e12i	−0.504859	+	0.512220i
$311$	−1.54344e12	−	2.67331e12i	−0.530502	−	0.918857i	−0.999367	−	0.0355866i	$-0.988670\pi$
$311$	−1.54344e12	−	2.67331e12i	−0.530502	−	0.918857i	0.468864	−	0.883270i	$-0.344663\pi$
$312$	−5.36149e12	+	1.43661e12i	−1.81348	+	0.485920i
$313$	−2.74453e12	−	1.92174e12i	−0.913581	−	0.639696i	0.0193263	−	0.999813i	$-0.493848\pi$
$313$	−2.74453e12	−	1.92174e12i	−0.913581	−	0.639696i	−0.932907	+	0.360117i	$0.882737\pi$
$314$	7.60508e12	−	1.34098e12i	2.49147	−	0.439313i
$315$	−1.19017e12	−	5.44536e11i	−0.383758	−	0.175579i
$316$	6.16551e12	+	1.06790e13i	1.95674	+	3.38918i
$317$	5.81478e12	+	5.08728e11i	1.81651	+	0.158924i	0.944058	−	0.329780i	$-0.106975\pi$
$317$	5.81478e12	+	5.08728e11i	1.81651	+	0.158924i	0.872450	+	0.488704i	$0.162530\pi$
$318$	2.20629e11	−	4.73140e11i	0.0678463	−	0.145497i
$319$	5.84498e11	−	1.60589e12i	0.176941	−	0.486142i
$320$	1.42786e12	+	7.76861e12i	0.425536	+	2.31523i
$321$	−5.68381e10	+	3.22345e11i	−0.0166769	+	0.0945792i
$322$	1.51391e11	+	1.51391e11i	0.0437341	+	0.0437341i
$323$	2.15456e11	+	4.17877e11i	0.0612839	+	0.118860i
$324$		−	4.48877e12i		−	1.25719i
$325$	−3.68971e12	+	3.79810e12i	−1.01760	+	1.04749i
$326$	−2.28336e12	−	1.91597e12i	−0.620135	−	0.520355i
$327$	9.58376e11	+	2.05524e12i	0.256329	+	0.549699i
$328$	8.34725e12	−	1.79007e13i	2.19874	−	4.71522i
$329$	1.18654e12	+	1.41407e12i	0.307826	+	0.366852i
$330$	1.99811e12	+	3.37429e11i	0.510563	+	0.0862210i
$331$	−9.62990e11	+	1.66795e12i	−0.242372	+	0.419800i	−0.961389	−	0.275192i	$-0.911259\pi$
$331$	−9.62990e11	+	1.66795e12i	−0.242372	+	0.419800i	0.719018	+	0.694992i	$0.244592\pi$
$332$	−3.48296e12	+	4.97418e12i	−0.863491	+	1.23319i
$333$	9.93300e11	+	6.95516e11i	0.242582	+	0.169858i
$334$	−6.69065e12	−	3.86285e12i	−1.60967	−	0.929342i
$335$	−3.10734e12	−	4.37008e12i	−0.736486	−	1.03578i
$336$	−2.25148e12	+	1.88922e12i	−0.525741	+	0.441149i
$337$	4.03313e12	+	1.88068e12i	0.927881	+	0.432678i	0.826988	−	0.562219i	$-0.190052\pi$
$337$	4.03313e12	+	1.88068e12i	0.927881	+	0.432678i	0.100893	+	0.994897i	$0.467830\pi$
$338$	8.57908e12	−	4.00049e12i	1.94472	−	0.906838i
$339$	−1.60847e11	+	1.91690e11i	−0.0359264	+	0.0428154i
$340$	1.56770e12	+	1.25731e11i	0.345040	+	0.0276724i
$341$	−1.11994e12			−0.242897
$342$	−4.38802e12	−	5.76522e12i	−0.937861	−	1.23221i
$343$	−3.00427e12	+	3.00427e12i	−0.632802	+	0.632802i
$344$	1.50097e13	+	2.64661e12i	3.11587	+	0.549411i
$345$	−2.38739e10	−	1.29891e11i	−0.00488459	−	0.0265757i
$346$	−8.59960e11	−	3.13000e11i	−0.173419	−	0.0631195i
$347$	−1.33163e12	−	6.20949e11i	−0.264689	−	0.123427i	0.285743	−	0.958306i	$-0.407759\pi$
$347$	−1.33163e12	−	6.20949e11i	−0.264689	−	0.123427i	−0.550433	+	0.834880i	$0.685537\pi$
$348$	3.97798e11	−	4.54686e12i	0.0779412	−	0.890871i
$349$	4.07796e12	−	2.35441e12i	0.787618	−	0.454731i	−0.0515056	−	0.998673i	$-0.516402\pi$
$349$	4.07796e12	−	2.35441e12i	0.787618	−	0.454731i	0.839123	+	0.543942i	$0.183069\pi$
$350$	−1.68670e12	+	4.85153e12i	−0.321142	+	0.923716i
$351$	−1.04911e12	−	5.94978e12i	−0.196917	−	1.11677i
$352$	−5.72148e12	+	8.17112e12i	−1.05875	+	1.51206i
$353$	−1.78033e12	−	6.64429e12i	−0.324809	−	1.21220i	−0.914504	−	0.404577i	$-0.867419\pi$
$353$	−1.78033e12	−	6.64429e12i	−0.324809	−	1.21220i	0.589695	−	0.807626i	$-0.299248\pi$
$354$	3.36947e12	−	1.94537e12i	0.606102	−	0.349933i
$355$	4.68079e10	+	6.46767e12i	0.00830189	+	1.14711i
$356$	2.34801e13	−	8.54606e12i	4.10629	−	1.49457i
$357$	7.22868e10	+	1.55020e11i	0.0124657	+	0.0267329i
$358$	5.81361e12	−	5.08625e11i	0.988623	−	0.0864933i
$359$	4.63174e12	+	8.16701e11i	0.776734	+	0.136959i	0.547942	−	0.836516i	$-0.315411\pi$
$359$	4.63174e12	+	8.16701e11i	0.776734	+	0.136959i	0.228792	+	0.973475i	$0.426523\pi$
$360$	−1.48066e13	+	1.40346e12i	−2.44874	+	0.232106i
$361$	−5.90954e12	−	1.63320e12i	−0.963868	−	0.266381i
$362$	−3.90067e12	−	3.90067e12i	−0.627475	−	0.627475i
$363$	−9.12365e11	−	1.30299e12i	−0.144756	−	0.206732i
$364$	8.01573e12	−	9.55277e12i	1.25440	−	1.49494i
$365$	2.54056e11	−	9.76361e11i	0.0392162	−	0.150711i
$366$	2.63105e12	−	9.57624e11i	0.400612	−	0.145811i
$367$	7.66874e12	+	6.70928e11i	1.15184	+	0.100773i	0.647037	−	0.762459i	$-0.276008\pi$
$367$	7.66874e12	+	6.70928e11i	1.15184	+	0.100773i	0.504807	+	0.863232i	$0.331564\pi$
$368$	1.28285e12	+	3.43739e11i	0.190080	+	0.0509318i
$369$	8.37404e12	+	4.83475e12i	1.22406	+	0.706712i
$370$	2.34947e12	−	4.13828e12i	0.338814	−	0.596776i
$371$	1.24982e11	+	7.08811e11i	0.0177820	+	0.100847i
$372$	−2.88917e12	+	7.74152e11i	−0.405564	+	0.108670i
$373$	1.16175e13	+	3.11290e12i	1.60904	+	0.431142i	0.947758	−	0.318991i	$-0.103344\pi$
$373$	1.16175e13	+	3.11290e12i	1.60904	+	0.431142i	0.661287	+	0.750133i	$0.270011\pi$
$374$	7.62301e11	+	9.08475e11i	0.104176	+	0.124152i
$375$	2.55532e12	−	1.87322e12i	0.344579	−	0.252600i
$376$	1.97114e13	+	7.17437e12i	2.62288	+	0.954650i
$377$	7.83837e11	+	8.95930e12i	0.102925	+	1.17643i
$378$	−3.36133e12	−	4.80048e12i	−0.435564	−	0.622050i
$379$			1.60488e12i			0.205233i	0.994721	+	0.102616i	$0.0327214\pi$
$379$			1.60488e12i			0.205233i	−0.994721	+	0.102616i	$0.967279\pi$
$380$	−1.50751e13	+	1.39061e13i	−1.90257	+	1.75504i
$381$	−2.95589e12			−0.368183
$382$	5.41280e12	−	3.79009e12i	0.665435	−	0.465942i
$383$	−1.35513e13	+	1.18558e12i	−1.64432	+	0.143859i	−0.871375	−	0.490618i	$-0.836771\pi$
$383$	−1.35513e13	+	1.18558e12i	−1.64432	+	0.143859i	−0.772942	+	0.634477i	$0.781216\pi$
$384$	−1.92041e12	+	5.27627e12i	−0.230005	+	0.631933i
$385$	−2.52340e12	+	1.19899e12i	−0.298321	+	0.141747i
$386$	−3.41179e11	+	2.86283e11i	−0.0398149	+	0.0334087i
$387$	−1.93119e12	+	7.20730e12i	−0.222469	+	0.830267i
$388$	1.14939e13	+	4.28958e13i	1.30710	+	4.87817i
$389$	−7.30137e12	+	1.28743e12i	−0.819703	+	0.144536i	−0.567747	−	0.823203i	$-0.692185\pi$
$389$	−7.30137e12	+	1.28743e12i	−0.819703	+	0.144536i	−0.251956	+	0.967739i	$0.581074\pi$
$390$	−1.02805e13	+	2.83455e12i	−1.13944	+	0.314167i
$391$	3.86455e10	−	6.69359e10i	0.00422878	−	0.00732446i
$392$	−5.28731e12	+	1.97325e13i	−0.571222	+	2.13183i
$393$	−8.70143e10	+	9.94578e11i	−0.00928170	+	0.106090i
$394$	−4.93930e12	−	1.35706e13i	−0.520217	−	1.42928i
$395$	7.36007e12	+	1.25376e13i	0.765414	+	1.30385i
$396$	−1.00985e13	−	8.47361e12i	−1.03700	−	0.870147i
$397$	9.64318e11	−	6.75223e11i	0.0977840	−	0.0684691i	−0.523662	−	0.851926i	$-0.675434\pi$
$397$	9.64318e11	−	6.75223e11i	0.0977840	−	0.0684691i	0.621446	+	0.783457i	$0.286546\pi$
$398$	2.66070e13	−	2.66070e13i	2.66428	−	2.66428i
$399$	−2.12465e12	−	6.79065e11i	−0.210099	−	0.0671501i
$400$	5.98636e12	+	3.12946e13i	0.584606	+	3.05612i
$401$	2.98330e12	−	1.69191e13i	0.287723	−	1.63176i	−0.407670	−	0.913129i	$-0.633659\pi$
$401$	2.98330e12	−	1.69191e13i	0.287723	−	1.63176i	0.695393	−	0.718629i	$-0.255230\pi$
$402$	−9.41190e11	−	1.07579e13i	−0.0896494	−	1.02470i
$403$	5.34157e12	−	2.49081e12i	0.502508	−	0.234324i
$404$	2.07351e12	+	5.69693e12i	0.192664	+	0.529339i
$405$	−3.83002e10	−	5.29212e12i	−0.00351500	−	0.485685i
$406$	4.36185e12	+	7.55494e12i	0.395403	+	0.684859i
$407$	2.50016e12	−	6.69916e11i	0.223870	−	0.0599858i
$408$	1.59217e12	+	1.11485e12i	0.140828	+	0.0986090i
$409$	−1.74486e13	+	3.07666e12i	−1.52456	+	0.268821i	−0.872223	−	0.489109i	$-0.837322\pi$
$409$	−1.74486e13	+	3.07666e12i	−1.52456	+	0.268821i	−0.652336	+	0.757930i	$0.726211\pi$
$410$	1.57878e13	−	3.45069e13i	1.36271	−	2.97842i
$411$	−3.33187e12	−	5.77097e12i	−0.284105	−	0.492085i
$412$	−5.45614e13	−	4.77351e12i	−4.59621	−	0.402116i
$413$	−2.26696e12	+	4.86152e12i	−0.188666	+	0.404596i
$414$	−4.07372e11	+	1.11924e12i	−0.0334957	+	0.0920287i
$415$	−4.06386e12	+	5.89412e12i	−0.330140	+	0.478827i
$416$	9.11562e12	−	5.16973e13i	0.731677	−	4.14955i
$417$	1.09841e12	+	1.09841e12i	0.0871133	+	0.0871133i
$418$	−1.54478e13	−	7.35120e11i	−1.21055	−	0.0576072i
$419$		−	1.12731e13i		−	0.872918i	−0.899724	−	0.436459i	$-0.856232\pi$
$419$		−	1.12731e13i		−	0.872918i	0.899724	−	0.436459i	$-0.143768\pi$
$420$	−5.68099e12	+	4.83741e12i	−0.434688	+	0.370140i
$421$	−8.83479e11	−	7.41327e11i	−0.0668014	−	0.0560530i	0.608776	−	0.793342i	$-0.291661\pi$
$421$	−8.83479e11	−	7.41327e11i	−0.0668014	−	0.0560530i	−0.675577	+	0.737289i	$0.736105\pi$
$422$	−1.23570e13	−	2.64997e13i	−0.923317	−	1.98006i
$423$	−4.34000e12	+	9.30715e12i	−0.320470	+	0.687250i
$424$	5.25729e12	+	6.26539e12i	0.383648	+	0.457213i
$425$	1.84935e12	+	1.34857e11i	0.133375	+	0.00972585i
$426$	−6.51281e12	+	1.12805e13i	−0.464216	+	0.804046i
$427$	−2.21411e12	+	3.16208e12i	−0.155977	+	0.222758i
$428$	−6.84515e12	−	4.79303e12i	−0.476611	−	0.333727i
$429$	−5.02330e12	−	2.90021e12i	−0.345703	−	0.199592i
$430$	2.88733e13	+	4.87596e12i	1.96406	+	0.331679i
$431$	−2.12092e13	+	1.77967e13i	−1.42606	+	1.19661i	−0.478070	+	0.878322i	$0.658663\pi$
$431$	−2.12092e13	+	1.77967e13i	−1.42606	+	1.19661i	−0.947994	+	0.318288i	$0.896892\pi$
$432$	−3.29468e13	−	1.53633e13i	−2.18975	−	1.02110i
$433$	3.66897e12	−	1.71087e12i	0.241049	−	0.112403i	−0.298340	−	0.954460i	$-0.596433\pi$
$433$	3.66897e12	−	1.71087e12i	0.241049	−	0.112403i	0.539389	+	0.842057i	$0.318655\pi$
$434$	3.67478e12	−	4.37943e12i	0.238662	−	0.284426i
$435$	4.30197e11	−	5.36400e12i	0.0276198	−	0.344384i
$436$	−5.78945e13			−3.67455
$437$	2.99319e11	+	9.62452e11i	0.0187813	+	0.0603909i
$438$	1.43668e12	−	1.43668e12i	0.0891230	−	0.0891230i
$439$	3.80989e12	+	6.71787e11i	0.233663	+	0.0412011i	0.289253	−	0.957253i	$-0.406593\pi$
$439$	3.80989e12	+	6.71787e11i	0.233663	+	0.0412011i	−0.0555903	+	0.998454i	$0.517704\pi$
$440$	−1.80208e13	+	2.61369e13i	−1.09272	+	1.58486i
$441$	−9.39796e12	−	3.42058e12i	−0.563431	−	0.205072i
$442$	−5.65631e12	−	2.63758e12i	−0.335291	−	0.156349i
$443$	−1.75247e12	+	2.00308e13i	−0.102714	+	1.17403i	0.753513	+	0.657433i	$0.228358\pi$
$443$	−1.75247e12	+	2.00308e13i	−0.102714	+	1.17403i	−0.856228	+	0.516599i	$0.827198\pi$
$444$	5.98674e12	−	3.45645e12i	0.346957	−	0.200316i
$445$	2.76094e13	−	1.02759e13i	1.58219	−	0.588870i
$446$	−9.36831e12	−	5.31304e13i	−0.530869	−	3.01071i
$447$	5.20979e11	−	7.44035e11i	0.0291932	−	0.0416923i
$448$	−5.67621e12	−	2.11839e13i	−0.314534	−	1.17386i
$449$	−1.99223e13	+	1.15021e13i	−1.09171	+	0.630298i	−0.934031	−	0.357192i	$-0.883734\pi$
$449$	−1.99223e13	+	1.15021e13i	−1.09171	+	0.630298i	−0.157678	+	0.987491i	$0.550401\pi$
$450$	−2.84269e13	+	2.90219e12i	−1.54052	+	0.157276i
$451$	1.93954e13	−	7.05934e12i	1.03948	−	0.378339i
$452$	−2.69987e12	−	5.78988e12i	−0.143103	−	0.306886i
$453$	1.16468e13	−	1.01896e12i	0.610543	−	0.0534156i
$454$	−4.80337e13	−	8.46964e12i	−2.49039	−	0.439122i
$455$	9.36879e12	−	1.13308e13i	0.480426	−	0.581038i
$456$	−2.47673e13	+	5.38905e12i	−1.25619	+	0.273331i
$457$	−7.33699e12	−	7.33699e12i	−0.368075	−	0.368075i	0.498700	−	0.866775i	$-0.333811\pi$
$457$	−7.33699e12	−	7.33699e12i	−0.368075	−	0.368075i	−0.866775	+	0.498700i	$0.833811\pi$
$458$	−5.75891e12	−	8.22458e12i	−0.285768	−	0.408118i
$459$	−1.35988e12	+	1.62065e12i	−0.0667480	+	0.0795471i
$460$	3.26301e12	+	8.49059e11i	0.158427	+	0.0412239i
$461$	2.91995e13	−	1.06278e13i	1.40240	−	0.510431i	0.473508	−	0.880790i	$-0.342988\pi$
$461$	2.91995e13	−	1.06278e13i	1.40240	−	0.510431i	0.928889	+	0.370359i	$0.120765\pi$
$462$	−5.60497e12	−	4.90372e11i	−0.266295	−	0.0232978i
$463$	1.99905e13	+	5.35643e12i	0.939546	+	0.251751i	0.695921	−	0.718119i	$-0.254996\pi$
$463$	1.99905e13	+	5.35643e12i	0.939546	+	0.251751i	0.243626	+	0.969869i	$0.421663\pi$
$464$	4.68650e13	+	2.70575e13i	2.17901	+	1.25805i
$465$	−3.39964e12	+	9.37354e11i	−0.156375	+	0.0431160i
$466$	9.64850e11	+	5.47194e12i	0.0439067	+	0.249007i
$467$	−1.68171e13	+	4.50614e12i	−0.757125	+	0.202871i	−0.616676	−	0.787217i	$-0.711521\pi$
$467$	−1.68171e13	+	4.50614e12i	−0.757125	+	0.202871i	−0.140449	+	0.990088i	$0.544854\pi$
$468$	6.70106e13	+	1.79554e13i	2.98479	+	0.799773i
$469$	9.57005e12	+	1.14051e13i	0.421745	+	0.502616i
$470$	3.79692e13	+	1.35093e13i	1.65555	+	0.589038i
$471$	1.24286e13	+	4.52364e12i	0.536189	+	0.195157i
$472$	5.31261e12	+	6.07234e13i	0.226776	+	2.59207i
$473$	9.13542e12	+	1.30467e13i	0.385854	+	0.551056i
$474$			2.92787e13i			1.22366i
$475$	−1.76544e13	+	1.65235e13i	−0.730105	+	0.683335i
$476$	−4.36677e12			−0.178700
$477$	−3.27995e12	+	2.29665e12i	−0.132824	+	0.0930042i
$478$	−4.90120e13	+	4.28799e12i	−1.96410	+	0.171836i
$479$	−5.37057e12	+	1.47555e13i	−0.212982	+	0.585163i	−0.999474	−	0.0324376i	$-0.989673\pi$
$479$	−5.37057e12	+	1.47555e13i	−0.212982	+	0.585163i	0.786492	+	0.617601i	$0.211895\pi$
$480$	−1.05289e13	+	2.95927e13i	−0.413218	+	1.16139i
$481$	−1.04346e13	+	8.75569e12i	−0.405277	+	0.340067i
$482$	−6.20682e11	+	2.31642e12i	−0.0238580	+	0.0890393i
$483$	9.49064e10	+	3.54195e11i	0.00361044	+	0.0134743i
$484$	3.99925e13	−	7.05175e12i	1.50574	−	0.265503i
$485$	1.39170e13	+	5.04748e13i	0.518604	+	1.88090i
$486$	2.52701e13	−	4.37691e13i	0.932022	−	1.61431i
$487$	−9.21883e11	+	3.44052e12i	−0.0336536	+	0.125597i	−0.980709	−	0.195473i	$-0.937376\pi$
$487$	−9.21883e11	+	3.44052e12i	−0.0336536	+	0.125597i	0.947055	+	0.321070i	$0.104042\pi$
$488$	−3.82314e12	+	4.36986e13i	−0.138140	+	1.57895i
$489$	−1.74605e12	−	4.79723e12i	−0.0624471	−	0.171572i
$490$	−9.88359e12	+	3.79835e13i	−0.349892	+	1.34467i
$491$	2.12421e13	+	1.78242e13i	0.744370	+	0.624601i	0.934008	−	0.357253i	$-0.116287\pi$
$491$	2.12421e13	+	1.78242e13i	0.744370	+	0.624601i	−0.189637	+	0.981854i	$0.560731\pi$
$492$	4.51557e13	−	3.16184e13i	1.56634	−	1.09677i
$493$	2.22690e12	−	2.22690e12i	0.0764654	−	0.0764654i
$494$	7.53133e13	−	3.08506e13i	2.55998	−	1.04865i
$495$	−1.19781e13	−	9.90397e12i	−0.403052	−	0.333260i
$496$	6.15816e12	−	3.49247e13i	0.205136	−	1.16339i
$497$	−1.56516e12	−	1.78899e13i	−0.0516152	−	0.589964i
$498$	−1.30673e13	+	6.09337e12i	−0.426617	+	0.198935i
$499$	−4.85716e11	−	1.33449e12i	−0.0156993	−	0.0431334i	0.931595	−	0.363497i	$-0.118417\pi$
$499$	−4.85716e11	−	1.33449e12i	−0.0156993	−	0.0431334i	−0.947295	+	0.320363i	$0.896195\pi$
$500$	1.57722e13	+	7.93358e13i	0.504710	+	2.53874i
$501$	−6.61595e12	−	1.14592e13i	−0.209606	−	0.363048i
$502$	−1.11675e14	+	2.99232e13i	−3.50298	+	0.938620i
$503$	3.07098e13	+	2.15032e13i	0.953754	+	0.667826i	0.943238	−	0.332119i	$-0.107763\pi$
$503$	3.07098e13	+	2.15032e13i	0.953754	+	0.667826i	0.0105168	+	0.999945i	$0.496652\pi$
$504$	4.06680e13	−	7.17087e12i	1.25055	−	0.220505i
$505$	2.49322e12	+	6.69882e12i	0.0759108	+	0.203958i
$506$	1.27121e12	+	2.20180e12i	0.0383234	+	0.0663782i
$507$	1.61508e13	+	1.41301e12i	0.482119	+	0.0421799i
$508$	3.18923e13	−	6.83932e13i	0.942686	−	2.02160i
$509$	1.22188e13	−	3.35709e13i	0.357635	−	0.982594i	−0.622213	−	0.782848i	$-0.713766\pi$
$509$	1.22188e13	−	3.35709e13i	0.357635	−	0.982594i	0.979848	−	0.199746i	$-0.0640116\pi$
$510$	3.07438e12	+	2.11971e12i	0.0891059	+	0.0614364i
$511$	−4.86420e11	+	2.75862e12i	−0.0139607	+	0.0791749i
$512$	9.57964e12	+	9.57964e12i	0.272270	+	0.272270i
$513$	−3.49385e12	−	2.73666e13i	−0.0983370	−	0.770254i
$514$		−	1.18895e14i		−	3.31397i
$515$	−6.43670e13	−	5.16228e12i	−1.77675	−	0.142497i
$516$	3.25857e13	+	2.73426e13i	0.890796	+	0.747467i
$517$	9.26398e12	+	1.98667e13i	0.250810	+	0.537864i
$518$	−5.58395e12	+	1.19748e13i	−0.149725	+	0.321085i
$519$	−1.00750e12	−	1.20069e12i	−0.0267552	−	0.0318856i
$520$	2.78203e13	−	1.64740e14i	0.731721	−	4.33293i
$521$	9.23591e12	−	1.59971e13i	0.240598	−	0.416727i	−0.720287	−	0.693676i	$-0.755990\pi$
$521$	9.23591e12	−	1.59971e13i	0.240598	−	0.416727i	0.960885	+	0.276949i	$0.0893233\pi$
$522$	−2.78366e13	+	3.97548e13i	−0.718230	+	1.02574i
$523$	−2.51651e13	−	1.76208e13i	−0.643118	−	0.450316i	0.205977	−	0.978557i	$-0.433963\pi$
$523$	−2.51651e13	−	1.76208e13i	−0.643118	−	0.450316i	−0.849094	+	0.528241i	$0.822852\pi$
$524$	−2.20737e13	−	1.27442e13i	−0.558750	−	0.322595i
$525$	−6.65644e12	+	5.75163e12i	−0.166896	+	0.144210i
$526$	−7.60584e13	+	6.38206e13i	−1.88894	+	1.58501i
$527$	−1.87048e12	−	8.72220e11i	−0.0460151	−	0.0214572i
$528$	−3.16317e13	+	1.47501e13i	−0.770820	+	0.359439i
$529$	−2.65219e13	+	3.16076e13i	−0.640217	+	0.762980i
$530$	1.01874e13	+	1.19639e13i	0.243603	+	0.286085i
$531$	−2.98415e13			−0.706884
$532$	3.86359e13	−	4.18334e13i	0.906636	−	0.981669i
$533$	−7.68062e13	+	7.68062e13i	−1.78550	+	1.78550i
$534$	5.84277e13	+	1.03024e13i	1.34559	+	0.237264i
$535$	−8.11113e12	−	5.59243e12i	−0.185060	−	0.127594i
$536$	1.58982e14	+	5.78647e13i	3.59355	+	1.30795i
$537$	9.05862e12	+	4.22410e12i	0.202857	+	0.0945939i
$538$	1.37045e13	−	1.56643e14i	0.304055	−	3.47536i
$539$	−1.84879e13	+	1.06740e13i	−0.406390	+	0.234629i
$540$	−8.39223e13	−	3.83967e13i	−1.82771	−	0.836228i
$541$	1.22787e13	+	6.96358e13i	0.264951	+	1.50261i	0.769175	+	0.639038i	$0.220667\pi$
$541$	1.22787e13	+	6.96358e13i	0.264951	+	1.50261i	−0.504224	+	0.863573i	$0.668222\pi$
$542$	2.91911e13	−	4.16892e13i	0.624099	−	0.891306i
$543$	−2.44532e12	−	9.12605e12i	−0.0518008	−	0.193323i
$544$	−1.59196e13	+	9.19117e12i	−0.334147	+	0.192920i
$545$	−6.82558e13	+	4.93981e11i	−1.41957	+	0.0102737i
$546$	2.78236e13	−	1.01270e13i	0.573391	−	0.208697i
$547$	−7.42187e12	−	1.59163e13i	−0.151557	−	0.325016i	0.815841	−	0.578277i	$-0.196275\pi$
$547$	−7.42187e12	−	1.59163e13i	−0.151557	−	0.325016i	−0.967398	+	0.253261i	$0.918497\pi$
$548$	1.69477e14	−	1.48274e13i	3.42933	−	0.300027i
$549$	−2.11487e13	−	3.72909e12i	−0.424055	−	0.0747724i
$550$	−3.42580e13	+	5.04647e13i	−0.680689	+	1.00271i
$551$	1.63061e12	+	4.10365e13i	0.0321065	+	0.808001i
$552$	2.94645e12	+	2.94645e12i	0.0574916	+	0.0574916i
$553$	−2.31531e13	−	3.30660e13i	−0.447695	−	0.639375i
$554$	−6.18634e13	+	7.37260e13i	−1.18546	+	1.41277i
$555$	7.02870e12	−	4.12613e12i	0.133478	−	0.0783570i
$556$	−3.72662e13	+	1.35638e13i	−0.701360	+	0.255274i
$557$	−2.81402e13	−	2.46195e12i	−0.524869	−	0.0459201i	−0.178357	−	0.983966i	$-0.557078\pi$
$557$	−2.81402e13	−	2.46195e12i	−0.524869	−	0.0459201i	−0.346512	+	0.938046i	$0.612634\pi$
$558$	3.07207e13	+	8.23160e12i	0.567885	+	0.152164i
$559$	−7.25883e13	−	4.19089e13i	−1.32986	−	0.767798i
$560$	−2.35146e13	−	8.52839e13i	−0.426970	−	1.54856i
$561$	3.52707e11	+	2.00030e12i	0.00634745	+	0.0359982i
$562$	3.74936e13	−	1.00464e13i	0.668768	−	0.179196i
$563$	−2.30828e13	−	6.18503e12i	−0.408082	−	0.109345i	0.0489377	−	0.998802i	$-0.484416\pi$
$563$	−2.30828e13	−	6.18503e12i	−0.408082	−	0.109345i	−0.457020	+	0.889457i	$0.651083\pi$
$564$	3.76316e13	+	4.48476e13i	0.659412	+	0.785857i
$565$	−3.23246e12	−	6.80306e12i	−0.0561425	−	0.118158i
$566$	7.20771e13	+	2.62339e13i	1.24084	+	0.451628i
$567$	1.28068e12	+	1.46383e13i	0.0218538	+	0.249790i
$568$	−1.17050e14	−	1.67164e14i	−1.97983	−	2.82749i
$569$			4.58234e13i			0.768292i	0.923272	+	0.384146i	$0.125504\pi$
$569$			4.58234e13i			0.768292i	−0.923272	+	0.384146i	$0.874496\pi$
$570$	−4.75079e13	+	1.06978e13i	−0.789572	+	0.177795i
$571$	2.87509e13			0.473665			0.236832	−	0.971551i	$-0.423891\pi$
$571$	2.87509e13			0.473665			0.236832	+	0.971551i	$0.423891\pi$
$572$	1.21303e14	−	8.49375e13i	1.98104	−	1.38714i
$573$	1.12742e13	−	9.86367e11i	0.182521	−	0.0159685i
$574$	−3.60358e13	+	9.90074e13i	−0.578328	+	1.58894i
$575$	3.85423e12	+	9.73173e11i	0.0613195	+	0.0154829i
$576$	9.34631e13	−	7.84249e13i	1.47410	−	1.23692i
$577$	3.09682e13	−	1.15575e14i	0.484214	−	1.80711i	−0.0993596	−	0.995052i	$-0.531679\pi$
$577$	3.09682e13	−	1.15575e14i	0.484214	−	1.80711i	0.583574	−	0.812060i	$-0.301654\pi$
$578$	−3.10635e13	−	1.15931e14i	−0.481517	−	1.79704i
$579$	−7.51215e11	+	1.32459e11i	−0.0115444	+	0.00203559i
$580$	1.19470e14	+	6.78283e13i	1.82021	+	1.03341i
$581$	9.93905e12	−	1.72149e13i	0.150129	−	0.260031i
$582$	−2.72911e13	+	1.01852e14i	−0.408701	+	1.52529i
$583$	−7.44916e11	+	8.51443e12i	−0.0110602	+	0.126419i
$584$	1.08870e13	+	2.99118e13i	0.160267	+	0.440329i
$585$	7.91567e13	+	2.05972e13i	1.15534	+	0.300627i
$586$	−8.14938e13	−	6.83815e13i	−1.17933	−	0.989579i
$587$	2.83012e11	−	1.98167e11i	0.00406082	−	0.00284342i	−0.571544	−	0.820571i	$-0.693655\pi$
$587$	2.83012e11	−	1.98167e11i	0.00406082	−	0.00284342i	0.575605	+	0.817728i	$0.304767\pi$
$588$	−4.03160e13	+	4.03160e13i	−0.573575	+	0.573575i
$589$	2.49053e13	−	1.02020e13i	0.351330	−	0.143915i
$590$	1.10509e13	+	1.16588e14i	0.154574	+	1.63077i
$591$	4.29505e12	−	2.43585e13i	0.0595705	−	0.337841i
$592$	7.14343e12	+	8.16498e13i	0.0982423	+	1.12291i
$593$	5.82189e13	−	2.71479e13i	0.793945	−	0.370223i	0.0170516	−	0.999855i	$-0.494572\pi$
$593$	5.82189e13	−	2.71479e13i	0.793945	−	0.370223i	0.776894	+	0.629632i	$0.216794\pi$
$594$	−2.38015e13	−	6.53940e13i	−0.321864	−	0.884313i
$595$	−5.14829e12	+	3.72592e10i	−0.0690364	+	0.000499631i
$596$	1.15944e13	+	2.00821e13i	0.154176	+	0.267041i
$597$	6.22500e13	−	1.66798e13i	0.820857	−	0.219948i
$598$	−1.09600e13	−	7.67427e12i	−0.143319	−	0.100353i
$599$	9.70390e12	−	1.71106e12i	0.125838	−	0.0221886i	−0.110374	−	0.993890i	$-0.535205\pi$
$599$	9.70390e12	−	1.71106e12i	0.125838	−	0.0221886i	0.236212	+	0.971701i	$0.424094\pi$
$600$	−3.28275e13	+	9.44231e13i	−0.422164	+	1.21429i
$601$	−3.59317e13	−	6.22355e13i	−0.458253	−	0.793718i	0.540616	−	0.841270i	$-0.318191\pi$
$601$	−3.59317e13	−	6.22355e13i	−0.458253	−	0.793718i	−0.998869	+	0.0475520i	$0.984858\pi$
$602$	−8.09936e13	−	7.08602e12i	−1.02440	−	0.0896231i
$603$	−3.50041e13	+	7.50666e13i	−0.439069	+	0.941587i
$604$	−1.02086e14	+	2.80478e14i	−1.26993	+	3.48910i
$605$	4.70897e13	−	8.65503e12i	0.580964	−	0.106780i
$606$	−2.49964e12	+	1.41762e13i	−0.0305855	+	0.173459i
$607$	−7.87885e12	−	7.87885e12i	−0.0956135	−	0.0956135i	0.657682	−	0.753296i	$-0.271537\pi$
$607$	−7.87885e12	−	7.87885e12i	−0.0956135	−	0.0956135i	−0.753296	+	0.657682i	$0.771537\pi$
$608$	5.28009e13	−	2.33830e14i	0.635511	−	2.81437i
$609$			1.49412e13i			0.178361i
$610$	−6.73740e12	+	8.40068e13i	−0.0797707	+	0.994638i
$611$	−8.83694e13	−	7.41508e13i	−1.03776	−	0.870782i
$612$	−1.02667e13	−	2.20171e13i	−0.119585	−	0.256450i
$613$	3.76943e13	−	8.08358e13i	0.435486	−	0.933902i	−0.559014	−	0.829158i	$-0.688820\pi$
$613$	3.76943e13	−	8.08358e13i	0.435486	−	0.933902i	0.994499	−	0.104743i	$-0.0334021\pi$
$614$	1.51221e14	+	1.80219e14i	1.73289	+	2.06518i
$615$	5.29675e13	−	3.76624e13i	0.602052	−	0.428088i
$616$	4.40737e13	−	7.63380e13i	0.496908	−	0.860671i
$617$	−2.13434e13	+	3.04815e13i	−0.238692	+	0.340887i	−0.920569	−	0.390579i	$-0.872275\pi$
$617$	−2.13434e13	+	3.04815e13i	−0.238692	+	0.340887i	0.681878	+	0.731466i	$0.261164\pi$
$618$	−1.06527e14	−	7.45908e13i	−1.18172	−	0.827453i
$619$	3.67419e13	+	2.12130e13i	0.404305	+	0.233425i	0.688340	−	0.725389i	$-0.258340\pi$
$619$	3.67419e13	+	2.12130e13i	0.404305	+	0.233425i	−0.284035	+	0.958814i	$0.591673\pi$
$620$	1.49917e13	−	8.87743e13i	0.163641	−	0.969011i
$621$	−3.47437e12	+	2.91534e12i	−0.0376200	+	0.0315669i
$622$	1.69589e14	+	7.90805e13i	1.82157	+	0.849410i
$623$	−7.41324e13	+	3.45685e13i	−0.789892	+	0.368333i
$624$	1.18063e14	−	1.40702e14i	1.24793	−	1.48723i
$625$	1.92718e13	+	9.33999e13i	0.202080	+	0.979369i
$626$	2.03098e14			2.11268
$627$	−2.22834e13	−	1.43192e13i	−0.229956	−	0.147768i
$628$	−2.38765e14	+	2.38765e14i	−2.44440	+	2.44440i
$629$	4.69742e12	+	8.28282e11i	0.0477096	+	0.00841249i
$630$	7.80315e13	−	1.43421e13i	0.786262	−	0.144514i
$631$	1.55534e14	+	5.66097e13i	1.55481	+	0.565906i	0.969541	−	0.244930i	$-0.0787651\pi$
$631$	1.55534e14	+	5.66097e13i	1.55481	+	0.565906i	0.585273	+	0.810836i	$0.300987\pi$
$632$	−4.15727e14	−	1.93857e14i	−4.12309	−	1.92263i
$633$	4.36461e12	−	4.98877e13i	0.0429464	−	0.490880i
$634$	−3.06423e14	+	1.76914e14i	−2.99141	+	1.72709i
$635$	3.70165e13	−	8.09057e13i	0.358531	−	0.783629i
$636$	3.96385e12	+	2.24801e13i	0.0380919	+	0.216030i
$637$	6.44386e13	−	9.20279e13i	0.614397	−	0.877450i
$638$	2.68120e13	+	1.00064e14i	0.253645	+	0.946615i
$639$	8.65204e13	−	4.99526e13i	0.812109	−	0.468871i
$640$	−1.20368e14	−	1.18638e14i	−1.12101	−	1.10490i
$641$	−8.84495e13	+	3.21930e13i	−0.817345	+	0.297489i	−0.716654	−	0.697428i	$-0.754327\pi$
$641$	−8.84495e13	+	3.21930e13i	−0.817345	+	0.297489i	−0.100691	+	0.994918i	$0.532105\pi$
$642$	−8.38532e12	−	1.79824e13i	−0.0768855	−	0.164882i
$643$	1.64380e14	−	1.43814e13i	1.49553	−	0.130842i	0.690178	−	0.723639i	$-0.257532\pi$
$643$	1.64380e14	−	1.43814e13i	1.49553	−	0.130842i	0.805352	+	0.592798i	$0.201977\pi$
$644$	−9.21934e12	−	1.62562e12i	−0.0832282	−	0.0146754i
$645$	3.86509e13	+	3.19581e13i	0.346227	+	0.286274i
$646$	−2.52278e13	−	1.32587e13i	−0.224242	−	0.117852i
$647$	−6.09893e13	−	6.09893e13i	−0.537938	−	0.537938i	0.384985	−	0.922923i	$-0.374207\pi$
$647$	−6.09893e13	−	6.09893e13i	−0.537938	−	0.537938i	−0.922923	+	0.384985i	$0.874207\pi$
$648$	9.57749e13	+	1.36781e14i	0.838256	+	1.19715i
$649$	−4.09446e13	+	4.87959e13i	−0.355609	+	0.423799i
$650$	5.11577e13	−	3.16884e14i	0.440904	−	2.73108i
$651$	9.20098e12	−	3.34888e12i	0.0786917	−	0.0286414i
$652$	1.29837e14	+	1.13593e13i	1.10195	+	0.0964078i
$653$	1.11808e12	+	2.99588e11i	0.00941686	+	0.00252324i	0.263524	−	0.964653i	$-0.415115\pi$
$653$	1.11808e12	+	2.99588e11i	0.00941686	+	0.00252324i	−0.254108	+	0.967176i	$0.581782\pi$
$654$	−1.19048e14	−	6.87321e13i	−0.995020	−	0.574475i
$655$	−2.61329e13	−	1.48367e13i	−0.216761	−	0.123064i
$656$	1.13493e14	+	6.43652e14i	0.934223	+	5.29824i
$657$	−1.50525e13	+	4.03331e12i	−0.122965	+	0.0329484i
$658$	−1.08084e14	−	2.89611e13i	−0.876260	−	0.234793i
$659$	−9.59442e13	−	1.14342e14i	−0.771954	−	0.919979i	0.226586	−	0.973991i	$-0.427244\pi$
$659$	−9.59442e13	−	1.14342e14i	−0.771954	−	0.919979i	−0.998540	+	0.0540121i	$0.982799\pi$
$660$	−8.00305e13	+	3.80263e13i	−0.639051	+	0.303644i
$661$	−8.97792e13	−	3.26770e13i	−0.711489	−	0.258961i	−0.0391810	−	0.999232i	$-0.512475\pi$
$661$	−8.97792e13	−	3.26770e13i	−0.711489	−	0.258961i	−0.672308	+	0.740271i	$0.734697\pi$
$662$	−1.01754e13	−	1.16305e14i	−0.0800313	−	0.914762i
$663$	−6.13103e12	−	8.75602e12i	−0.0478593	−	0.0683501i
$664$		−	2.25886e14i		−	1.75005i
$665$	4.51936e13	−	4.96500e13i	0.347511	−	0.381778i
$666$	−7.35052e13			−0.560979
$667$	5.53054e12	−	3.87253e12i	0.0418927	−	0.0293336i
$668$	3.36524e14	−	2.94420e13i	2.53008	−	0.221353i
$669$	3.16029e13	−	8.68284e13i	0.235829	−	0.647934i
$670$	3.06240e14	+	1.08959e14i	2.26823	+	0.807028i
$671$	−3.51152e13	+	2.94651e13i	−0.258156	+	0.216619i
$672$	2.25719e13	−	8.42394e13i	0.164710	−	0.614708i
$673$	5.27214e13	+	1.96759e14i	0.381867	+	1.42515i	0.843047	+	0.537839i	$0.180759\pi$
$673$	5.27214e13	+	1.96759e14i	0.381867	+	1.42515i	−0.461181	+	0.887306i	$0.652574\pi$
$674$	−2.65656e14	+	4.68423e13i	−1.90994	+	0.336774i
$675$	−9.92695e13	−	4.45524e13i	−0.708430	−	0.317945i
$676$	−2.06952e14	+	3.58451e14i	−1.46600	+	2.53919i
$677$	5.70035e13	−	2.12740e14i	0.400828	−	1.49591i	−0.410794	−	0.911728i	$-0.634748\pi$
$677$	5.70035e13	−	2.12740e14i	0.400828	−	1.49591i	0.811622	−	0.584183i	$-0.198585\pi$
$678$	1.32204e12	−	1.51109e13i	0.00922772	−	0.105473i
$679$	−4.97212e13	−	1.36608e14i	−0.344502	−	0.946513i
$680$	−5.04534e13	+	2.96182e13i	−0.347013	+	0.203711i
$681$	−6.39931e13	−	5.36966e13i	−0.436916	−	0.366616i
$682$	5.56110e13	−	3.89392e13i	0.376911	−	0.263916i
$683$	1.05758e14	−	1.05758e14i	0.711557	−	0.711557i	−0.255304	−	0.966861i	$-0.582175\pi$
$683$	1.05758e14	−	1.05758e14i	0.711557	−	0.711557i	0.966861	+	0.255304i	$0.0821755\pi$
$684$	3.01760e14	+	9.64461e13i	2.01549	+	0.644176i
$685$	1.99682e14	−	1.89271e13i	1.32400	−	0.125496i
$686$	4.47225e13	−	2.53634e14i	0.294378	−	1.66950i
$687$	−1.49875e12	−	1.71308e13i	−0.00979368	−	0.111942i
$688$	−4.57088e14	+	2.13144e14i	−2.96522	+	1.38271i
$689$	−1.53837e13	−	4.22665e13i	−0.0990754	−	0.272207i
$690$	5.70168e12	+	5.61974e12i	0.0364550	+	0.0359311i
$691$	−7.43809e13	−	1.28832e14i	−0.472140	−	0.817771i	0.527351	−	0.849647i	$-0.323185\pi$
$691$	−7.43809e13	−	1.28832e14i	−0.472140	−	0.817771i	−0.999492	+	0.0318760i	$0.989852\pi$
$692$	3.86518e13	−	1.03567e13i	0.243579	−	0.0652667i
$693$	3.53495e13	+	2.47520e13i	0.221166	+	0.154862i
$694$	8.77125e13	−	1.54661e13i	0.544834	−	0.0960689i
$695$	−4.38200e13	+	1.63093e13i	−0.270239	+	0.100580i
$696$	8.48927e13	+	1.47038e14i	0.519786	+	0.900295i
$697$	3.78914e13	+	3.31507e12i	0.230344	+	0.0201525i
$698$	−1.20632e14	+	2.58696e14i	−0.728090	+	1.56139i
$699$	−3.25481e12	+	8.94252e12i	−0.0195047	+	0.0535888i
$700$	−6.12619e13	−	2.16073e14i	−0.364502	−	1.28561i
$701$	2.55251e13	−	1.44760e14i	0.150792	−	0.855181i	−0.811742	−	0.584017i	$-0.801480\pi$
$701$	2.55251e13	−	1.44760e14i	0.150792	−	0.855181i	0.962533	−	0.271164i	$-0.0874087\pi$
$702$	2.58962e14	+	2.58962e14i	1.51898	+	1.51898i
$703$	−4.94963e13	+	3.76726e13i	−0.288268	+	0.219406i
$704$		−	2.60432e14i		−	1.50602i
$705$	4.47492e13	+	5.25529e13i	0.256945	+	0.301753i
$706$	3.19419e14	+	2.68025e14i	1.82112	+	1.52810i
$707$	−8.38729e12	−	1.79866e13i	−0.0474815	−	0.101824i
$708$	−7.18974e13	+	1.54184e14i	−0.404154	+	0.866711i
$709$	−5.29441e13	−	6.30963e13i	−0.295519	−	0.352186i	0.597770	−	0.801667i	$-0.296053\pi$
$709$	−5.29441e13	−	6.30963e13i	−0.295519	−	0.352186i	−0.893290	+	0.449481i	$0.851609\pi$
$710$	−2.27199e14	−	3.19527e14i	−1.25926	−	1.77099i
$711$	1.12282e14	−	1.94479e14i	0.617964	−	1.07035i
$712$	−5.33137e14	+	7.61399e14i	−2.91366	+	4.16114i
$713$	−3.62435e12	−	2.53780e12i	−0.0196690	−	0.0137724i
$714$	−8.97932e12	−	5.18422e12i	−0.0483897	−	0.0279378i
$715$	1.42288e14	−	1.01174e14i	0.761445	−	0.541424i
$716$	−1.95474e14	+	1.64022e14i	−1.03878	+	0.871641i
$717$	−7.63692e13	−	3.56115e13i	−0.403016	−	0.187930i
$718$	−2.58387e14	+	1.20488e14i	−1.35409	+	0.631424i
$719$	−4.51807e13	+	5.38443e13i	−0.235130	+	0.280218i	−0.870688	−	0.491836i	$-0.836326\pi$
$719$	−4.51807e13	+	5.38443e13i	−0.235130	+	0.280218i	0.635557	+	0.772054i	$0.280770\pi$
$720$	3.74713e14	−	3.19071e14i	1.93659	−	1.64902i
$721$	1.79291e14			0.920202
$722$	3.50225e14	−	1.24372e14i	1.78510	−	0.633924i
$723$	−2.90431e12	+	2.90431e12i	−0.0147011	+	0.0147011i
$724$	2.37542e14	+	4.18850e13i	1.19412	+	0.210555i
$725$	1.41431e14	+	7.89481e13i	0.706080	+	0.394141i
$726$	9.06077e13	+	3.29785e13i	0.449244	+	0.163511i
$727$	−8.77872e13	−	4.09358e13i	−0.432274	−	0.201573i	0.194288	−	0.980945i	$-0.437761\pi$
$727$	−8.77872e13	−	4.09358e13i	−0.432274	−	0.201573i	−0.626562	+	0.779372i	$0.715538\pi$
$728$	−4.04301e13	+	4.62118e14i	−0.197719	+	2.25994i
$729$	−1.16393e13	+	6.71998e12i	−0.0565315	+	0.0326385i
$730$	2.13319e13	+	5.73149e13i	0.102900	+	0.276473i
$731$	5.09672e12	+	2.89049e13i	0.0244177	+	0.138479i
$732$	−7.02212e13	+	1.00286e14i	−0.334128	+	0.477184i
$733$	1.00278e11	+	3.74241e11i	0.000473897	+	0.00176861i	0.966162	−	0.257935i	$-0.0830419\pi$
$733$	1.00278e11	+	3.74241e11i	0.000473897	+	0.00176861i	−0.965688	+	0.259703i	$0.916375\pi$
$734$	−4.04122e14	+	2.33320e14i	−1.89685	+	1.09514i
$735$	−4.71873e13	+	4.78753e13i	−0.219983	+	0.223190i
$736$	−3.70318e13	+	1.34785e13i	−0.171469	+	0.0624096i
$737$	7.47184e13	+	1.60234e14i	0.343629	+	0.736915i
$738$	−5.83916e14	+	5.10861e13i	−2.66728	+	0.233357i
$739$	2.79086e14	+	4.92104e13i	1.26624	+	0.223272i	0.766128	−	0.642688i	$-0.222181\pi$
$739$	2.79086e14	+	4.92104e13i	1.26624	+	0.223272i	0.500113	+	0.865960i	$0.333292\pi$
$740$	1.96347e13	+	2.07148e14i	0.0884843	+	0.933518i
$741$	1.38128e14	+	1.87358e13i	0.618287	+	0.0838650i
$742$	−3.08508e13	−	3.08508e13i	−0.137166	−	0.137166i
$743$	1.36599e14	+	1.95083e14i	0.603258	+	0.861541i	0.998369	−	0.0570920i	$-0.0181828\pi$
$743$	1.36599e14	+	1.95083e14i	0.603258	+	0.861541i	−0.395111	+	0.918633i	$0.629294\pi$
$744$	7.15205e13	−	8.52349e13i	0.313737	−	0.373898i
$745$	1.38408e13	+	2.35772e13i	0.0603086	+	0.102733i
$746$	−6.85104e14	+	2.49357e14i	−2.96526	+	1.07926i
$747$	1.10165e14	+	9.63819e12i	0.473631	+	0.0414374i
$748$	−5.00883e13	−	1.34211e13i	−0.213909	−	0.0573167i
$749$	2.36901e13	+	1.36775e13i	0.100498	+	0.0580227i
$750$	−6.17551e13	+	1.81862e14i	−0.260235	+	0.766364i
$751$	−4.43745e13	−	2.51661e14i	−0.185752	−	1.05345i	−0.924985	−	0.380004i	$-0.875923\pi$
$751$	−4.43745e13	−	2.51661e14i	−0.185752	−	1.05345i	0.739233	−	0.673450i	$-0.235188\pi$
$752$	−6.70471e14	+	1.79652e14i	−2.78799	+	0.747039i
$753$	−1.91267e14	−	5.12499e13i	−0.790070	−	0.211699i
$754$	−3.50429e14	−	4.17624e14i	−1.43795	−	1.71368i
$755$	−1.17963e14	+	3.31546e14i	−0.480850	+	1.35148i
$756$	2.40791e14	+	8.76406e13i	0.975058	+	0.354892i
$757$	−8.16780e12	−	9.33584e13i	−0.0328568	−	0.375555i	−0.994765	−	0.102184i	$-0.967417\pi$
$757$	−8.16780e12	−	9.33584e13i	−0.0328568	−	0.375555i	0.961909	−	0.273371i	$-0.0881387\pi$
$758$	−5.58003e13	−	7.96910e13i	−0.222992	−	0.318466i
$759$			4.35443e12i			0.0172871i
$760$	1.62656e14	−	7.45394e14i	0.641510	−	2.93980i
$761$	−2.00680e13			−0.0786285			−0.0393143	−	0.999227i	$-0.512517\pi$
$761$	−2.00680e13			−0.0786285			−0.0393143	+	0.999227i	$0.512517\pi$
$762$	1.46776e14	−	1.02774e14i	0.571321	−	0.400043i
$763$	1.88799e14	−	1.65178e13i	0.730091	−	0.0638747i
$764$	−9.88196e13	+	2.71505e14i	−0.379644	+	1.04306i
$765$	−1.22920e13	−	2.58699e13i	−0.0469156	−	0.0987388i
$766$	6.31671e14	−	5.30035e14i	2.39523	−	2.00984i
$767$	8.67609e13	−	3.23796e14i	0.326849	−	1.21982i
$768$	−1.85436e13	−	6.92058e13i	−0.0694047	−	0.259022i
$769$	1.24479e14	−	2.19490e13i	0.462876	−	0.0816175i	0.0626530	−	0.998035i	$-0.480044\pi$
$769$	1.24479e14	−	2.19490e13i	0.462876	−	0.0816175i	0.400223	+	0.916418i	$0.368933\pi$
$770$	8.36128e13	−	1.47273e14i	0.308901	−	0.544088i
$771$	1.01817e14	−	1.76352e14i	0.373721	−	0.647304i
$772$	5.04032e12	−	1.88107e13i	0.0183811	−	0.0685992i
$773$	2.23588e13	−	2.55562e14i	0.0810123	−	0.925975i	−0.841563	−	0.540158i	$-0.818364\pi$
$773$	2.23588e13	−	2.55562e14i	0.0810123	−	0.925975i	0.922576	−	0.385816i	$-0.126080\pi$
$774$	−1.54697e14	−	4.25027e14i	−0.556901	−	1.53007i
$775$	1.69173e13	−	1.04790e14i	0.0605093	−	0.374811i
$776$	−1.26549e15	−	1.06187e15i	−4.49728	−	3.77367i
$777$	−1.85371e13	+	1.29798e13i	−0.0654542	+	0.0458315i
$778$	3.17790e14	−	3.17790e14i	1.11492	−	1.11492i
$779$	−3.67010e14	+	3.33667e14i	−1.27935	+	1.16312i
$780$	2.97134e14	−	3.59360e14i	1.02915	−	1.24468i
$781$	3.70311e13	−	2.10014e14i	0.127442	−	0.722757i
$782$	4.08345e11	+	4.66740e12i	0.00139635	+	0.0159603i
$783$	−1.67488e14	+	7.81010e13i	−0.569082	+	0.265367i
$784$	−2.31204e14	−	6.35227e14i	−0.780575	−	2.14461i
$785$	−2.79460e14	+	2.83534e14i	−0.937499	+	0.951168i
$786$	−3.02598e13	−	5.24116e13i	−0.100868	−	0.174709i
$787$	−2.35041e14	+	6.29790e13i	−0.778519	+	0.208604i	−0.626132	−	0.779717i	$-0.715363\pi$
$787$	−2.35041e14	+	6.29790e13i	−0.778519	+	0.208604i	−0.152387	+	0.988321i	$0.548696\pi$
$788$	5.17264e14	+	3.62192e14i	1.70248	+	1.19209i
$789$	−1.67467e14	+	2.95290e13i	−0.547702	+	0.0965747i
$790$	−8.01387e14	−	3.66656e14i	−2.60440	−	1.19158i
$791$	1.04564e13	+	1.81110e13i	0.0337676	+	0.0584872i
$792$	4.88516e14	+	4.27396e13i	1.56766	+	0.137153i
$793$	1.01950e14	−	2.18633e14i	0.325104	−	0.697188i
$794$	−2.44067e13	+	6.70569e13i	−0.0773405	+	0.212491i
$795$	4.86508e12	+	2.64696e13i	0.0153198	+	0.0833511i
$796$	−2.85703e14	+	1.62030e15i	−0.894025	+	5.07027i
$797$	8.96370e12	+	8.96370e12i	0.0278738	+	0.0278738i	0.720906	−	0.693033i	$-0.243726\pi$
$797$	8.96370e12	+	8.96370e12i	0.0278738	+	0.0278738i	−0.693033	+	0.720906i	$0.743726\pi$
$798$	1.29111e14	−	4.01530e13i	0.398978	−	0.124081i
$799$			4.03955e13i			0.124051i
$800$	−6.78128e14	−	6.58776e14i	−2.06948	−	2.01042i
$801$	−3.48587e14	−	2.92499e14i	−1.05718	−	0.887078i
$802$	4.40126e14	+	9.43852e14i	1.32649	+	2.84467i
$803$	−1.40579e13	+	3.01473e13i	−0.0421060	+	0.0902966i
$804$	3.03517e14	+	3.61717e14i	0.903447	+	1.07669i
$805$	−1.08832e13	−	1.83789e12i	−0.0321942	−	0.00543677i
$806$	−1.78634e14	+	3.09404e14i	−0.525158	+	0.909600i
$807$	1.54470e14	−	2.20605e14i	0.451310	−	0.644538i
$808$	−1.84737e14	−	1.29354e14i	−0.536409	−	0.375598i
$809$	1.29693e14	+	7.48783e13i	0.374260	+	0.216079i	0.675318	−	0.737527i	$-0.264006\pi$
$809$	1.29693e14	+	7.48783e13i	0.374260	+	0.216079i	−0.301058	+	0.953606i	$0.597340\pi$
$810$	1.85904e14	+	2.61451e14i	0.533168	+	0.749834i
$811$	−1.76652e14	+	1.48228e14i	−0.503517	+	0.422501i	−0.858841	−	0.512243i	$-0.828815\pi$
$811$	−1.76652e14	+	1.48228e14i	−0.503517	+	0.422501i	0.355324	+	0.934743i	$0.384370\pi$
$812$	−3.45709e14	−	1.61207e14i	−0.979332	−	0.456670i
$813$	7.89985e13	−	3.68376e13i	0.222416	−	0.103714i
$814$	−1.00854e14	+	1.20193e14i	−0.282209	+	0.336324i
$815$	1.53171e14	+	1.22844e13i	0.425979	+	0.0341638i
$816$	−6.43177e13			−0.177779
$817$	−3.22002e14	−	2.06916e14i	−0.884603	−	0.568440i
$818$	7.59445e14	−	7.59445e14i	2.07362	−	2.07362i
$819$	−2.23650e14	−	3.94356e13i	−0.606946	−	0.107021i
$820$	2.99944e14	+	1.63191e15i	0.809041	+	4.40178i
$821$	4.38004e14	+	1.59420e14i	1.17425	+	0.427393i	0.854169	−	0.519995i	$-0.174066\pi$
$821$	4.38004e14	+	1.59420e14i	1.17425	+	0.427393i	0.320085	+	0.947389i	$0.396289\pi$
$822$	3.66097e14	+	1.70714e14i	0.975522	+	0.454893i
$823$	−1.75914e13	+	2.01070e14i	−0.0465909	+	0.532536i	0.936655	+	0.350253i	$0.113904\pi$
$823$	−1.75914e13	+	2.01070e14i	−0.0465909	+	0.532536i	−0.983246	+	0.182283i	$0.941651\pi$
$824$	1.76443e15	−	1.01870e15i	4.64483	−	2.68169i
$825$	−9.40291e13	+	4.55148e13i	−0.246032	+	0.119092i
$826$	−5.64636e13	−	3.20221e14i	−0.146848	−	0.832817i
$827$	2.86862e14	−	4.09682e14i	0.741559	−	1.05906i	−0.254209	−	0.967149i	$-0.581815\pi$
$827$	2.86862e14	−	4.09682e14i	0.741559	−	1.05906i	0.995768	−	0.0919064i	$-0.0292961\pi$
$828$	−1.34794e13	−	5.03056e13i	−0.0346352	−	0.129260i
$829$	−5.60550e14	+	3.23634e14i	−1.43167	+	0.826573i	−0.997248	−	0.0741376i	$-0.976380\pi$
$829$	−5.60550e14	+	3.23634e14i	−1.43167	+	0.826573i	−0.434419	+	0.900711i	$0.643046\pi$
$830$	−3.14074e12	−	4.33972e14i	−0.00797337	−	1.10172i
$831$	−1.54895e14	+	5.63771e13i	−0.390870	+	0.142265i
$832$	5.79217e14	+	1.24214e15i	1.45286	+	3.11568i
$833$	−3.91908e13	+	3.42875e12i	−0.0977145	+	0.00854891i
$834$	−9.27328e13	−	1.63513e13i	−0.229828	−	0.0405249i
$835$	3.96500e14	−	3.75826e13i	0.976812	−	0.0925880i
$836$	5.71741e14	−	3.61097e14i	1.40013	−	0.884286i
$837$	8.56360e13	+	8.56360e13i	0.208463	+	0.208463i
$838$	3.91956e14	+	5.59771e14i	0.948455	+	1.35453i
$839$	−2.51764e14	+	3.00041e14i	−0.605597	+	0.721723i	−0.978523	−	0.206138i	$-0.933910\pi$
$839$	−2.51764e14	+	3.00041e14i	−0.605597	+	0.721723i	0.372925	+	0.927861i	$0.378355\pi$
$840$	6.98962e13	−	2.68617e14i	0.167131	−	0.642299i
$841$	−1.36827e14	+	4.98010e13i	−0.325231	+	0.118374i
$842$	6.96448e13	+	6.09313e12i	0.164561	+	0.0143973i
$843$	6.42158e13	+	1.72066e13i	0.150836	+	0.0404163i
$844$	1.10721e15	+	6.39247e14i	2.58534	+	1.49265i
$845$	−2.40931e14	+	4.24368e14i	−0.559255	+	0.985053i
$846$	−1.08097e14	−	6.13048e14i	−0.249437	−	1.41463i
$847$	−1.28407e14	+	3.44065e13i	−0.294558	+	0.0789267i
$848$	−2.61422e14	−	7.00478e13i	−0.596160	−	0.159741i
$849$	8.44429e13	+	1.00635e14i	0.191437	+	0.228145i
$850$	−9.65190e13	+	5.76038e13i	−0.217529	+	0.129824i
$851$	9.60908e12	+	3.49742e12i	0.0215295	+	0.00783610i
$852$	−4.96396e13	−	5.67383e14i	−0.110568	−	1.26380i
$853$	4.17209e14	+	5.95836e14i	0.923865	+	1.31942i	0.947520	+	0.319696i	$0.103581\pi$
$853$	4.17209e14	+	5.95836e14i	0.923865	+	1.31942i	−0.0236554	+	0.999720i	$0.507530\pi$
$854$		−	2.33997e14i		−	0.515135i
$855$	3.56589e14	+	1.11132e14i	0.780436	+	0.243226i
$856$	3.10851e14			0.676368
$857$	−4.85215e14	+	3.39751e14i	−1.04962	+	0.734948i	−0.965208	−	0.261483i	$-0.915788\pi$
$857$	−4.85215e14	+	3.39751e14i	−1.04962	+	0.734948i	−0.0844070	+	0.996431i	$0.526900\pi$
$858$	3.50272e14	−	3.06448e13i	0.753301	−	0.0659053i
$859$	−1.85626e14	+	5.10004e14i	−0.396893	+	1.09046i	0.566896	+	0.823790i	$0.308144\pi$
$859$	−1.85626e14	+	5.10004e14i	−0.396893	+	1.09046i	−0.963789	+	0.266666i	$0.914078\pi$
$860$	−1.15647e15	+	5.49493e14i	−2.45833	+	1.16807i
$861$	−1.38236e14	+	1.15994e14i	−0.292149	+	0.245142i
$862$	4.34380e14	−	1.62113e15i	0.912711	−	3.40628i
$863$	−2.20184e13	−	8.21736e13i	−0.0459971	−	0.171664i	0.939106	−	0.343627i	$-0.111656\pi$
$863$	−2.20184e13	−	8.21736e13i	−0.0459971	−	0.171664i	−0.985103	+	0.171963i	$0.944989\pi$
$864$	1.06230e15	−	1.87312e14i	2.20636	−	0.389041i
$865$	4.54810e13	−	1.25401e13i	0.0939181	−	0.0258952i
$866$	−1.22699e14	+	2.12521e14i	−0.251913	+	0.436327i
$867$	5.32029e13	−	1.98556e14i	0.108602	−	0.405310i
$868$	−2.17868e13	+	2.49024e14i	−0.0442176	+	0.505409i
$869$	−1.63946e14	−	4.50438e14i	−0.330828	−	0.908942i
$870$	1.65140e14	+	2.81309e14i	0.331326	+	0.564401i
$871$	−7.12742e14	−	5.98061e14i	−1.42181	−	1.19304i
$872$	1.76415e15	−	1.23527e15i	3.49907	−	2.45007i
$873$	5.71872e14	−	5.71872e14i	1.12779	−	1.12779i
$874$	−4.83264e13	−	3.73839e13i	−0.0947604	−	0.0733039i
$875$	−7.40696e13	−	2.54221e14i	−0.144411	−	0.495645i
$876$	−1.54269e13	+	8.74905e13i	−0.0299060	+	0.169606i
$877$	5.28391e13	+	6.03953e14i	0.101849	+	1.16414i	0.859379	+	0.511340i	$0.170851\pi$
$877$	5.28391e13	+	6.03953e14i	0.101849	+	1.16414i	−0.757530	+	0.652801i	$0.773594\pi$
$878$	−2.12539e14	+	9.91087e13i	−0.407349	+	0.189950i
$879$	−6.23171e13	−	1.71215e14i	−0.118758	−	0.326285i
$880$	−7.60273e12	−	1.05051e15i	−0.0144064	−	1.99061i
$881$	1.87146e14	+	3.24146e14i	0.352614	+	0.610746i	0.986707	−	0.162511i	$-0.0519594\pi$
$881$	1.87146e14	+	3.24146e14i	0.352614	+	0.610746i	−0.634092	+	0.773257i	$0.718626\pi$
$882$	5.85590e14	−	1.56908e14i	1.09711	−	0.293970i
$883$	2.78243e14	+	1.94828e14i	0.518347	+	0.362950i	0.803284	−	0.595596i	$-0.203084\pi$
$883$	2.78243e14	+	1.94828e14i	0.518347	+	0.362950i	−0.284938	+	0.958546i	$0.591973\pi$
$884$	2.68747e14	−	4.73873e13i	0.497831	−	0.0877810i
$885$	−8.34493e13	+	1.82392e14i	−0.153712	+	0.335962i
$886$	−6.09433e14	−	1.05557e15i	−1.11624	−	1.93338i
$887$	−5.14772e14	−	4.50367e13i	−0.937554	−	0.0820254i	−0.391874	−	0.920019i	$-0.628173\pi$
$887$	−5.14772e14	−	4.50367e13i	−0.937554	−	0.0820254i	−0.545680	+	0.837993i	$0.683729\pi$
$888$	−1.08678e14	+	2.33061e14i	−0.196823	+	0.422089i
$889$	−8.44904e13	+	2.32135e14i	−0.152159	+	0.418054i
$890$	−1.01367e15	+	1.47021e15i	−1.81530	+	2.63287i
$891$	−3.03004e13	+	1.71842e14i	−0.0539585	+	0.306014i
$892$	1.66805e15	+	1.66805e15i	2.95383	+	2.95383i
$893$	−3.86987e14	−	3.57408e14i	−0.681457	−	0.629371i
$894$			5.50593e13i			0.0964147i
$895$	−2.29059e14	+	1.95045e14i	−0.398870	+	0.339641i
$896$	3.59470e14	+	3.01631e14i	0.622476	+	0.522319i
$897$	−9.68454e12	−	2.07686e13i	−0.0166770	−	0.0357638i
$898$	5.89329e14	−	1.26382e15i	1.00920	−	2.16423i
$899$	−1.15883e14	−	1.38104e14i	−0.197343	−	0.235184i
$900$	9.45400e14	−	8.16892e14i	1.60104	−	1.38341i
$901$	−7.87526e12	+	1.36404e13i	−0.0132630	+	0.0229722i
$902$	−7.17639e14	+	1.02489e15i	−1.20191	+	1.71651i
$903$	−1.14066e14	−	7.98698e13i	−0.189984	−	0.133028i
$904$	2.05806e14	+	1.18822e14i	0.340891	+	0.196814i
$905$	2.80412e14	+	4.73544e13i	0.461906	+	0.0780040i
$906$	−5.42899e14	+	4.55547e14i	−0.889361	+	0.746263i
$907$	4.16846e13	+	1.94379e13i	0.0679109	+	0.0316674i	0.456277	−	0.889838i	$-0.349183\pi$
$907$	4.16846e13	+	1.94379e13i	0.0679109	+	0.0316674i	−0.388366	+	0.921505i	$0.626960\pi$
$908$	1.93288e15	−	9.01315e14i	3.13166	−	1.46032i
$909$	7.09684e13	−	8.45769e13i	0.114353	−	0.136280i
$910$	−7.12488e13	+	8.88381e14i	−0.114175	+	1.42361i
$911$	5.90783e14			0.941535			0.470767	−	0.882257i	$-0.343977\pi$
$911$	5.90783e14			0.941535			0.470767	+	0.882257i	$0.343977\pi$
$912$	5.69064e14	−	6.16160e14i	0.901960	−	0.976606i
$913$	1.66914e14	−	1.66914e14i	0.263111	−	0.263111i
$914$	6.19421e14	+	1.09221e14i	0.971081	+	0.171228i
$915$	−8.19330e13	+	1.18834e14i	−0.127748	+	0.185282i
$916$	4.12543e14	+	1.50153e14i	0.639722	+	0.232840i
$917$	7.56202e13	+	3.52623e13i	0.116625	+	0.0543830i
$918$	1.11772e13	−	1.27756e14i	0.0171443	−	0.195960i
$919$	−2.41488e13	+	1.39423e13i	−0.0368399	+	0.0212695i	−0.518307	−	0.855195i	$-0.673437\pi$
$919$	−2.41488e13	+	1.39423e13i	−0.0368399	+	0.0212695i	0.481467	+	0.876464i	$0.340104\pi$
$920$	−1.17546e14	+	4.37491e13i	−0.178348	+	0.0663789i
$921$	6.99681e13	+	3.96809e14i	0.105585	+	0.598802i
$922$	−1.08040e15	+	1.54297e15i	−1.62154	+	2.31580i
$923$	2.90463e14	+	1.08402e15i	0.433593	+	1.61819i
$924$	2.13056e14	−	1.23008e14i	0.316325	−	0.182631i
$925$	2.49162e13	+	2.44054e14i	0.0367937	+	0.360394i
$926$	−1.17887e15	+	4.29075e14i	−1.73146	+	0.630200i
$927$	4.21534e14	+	9.03982e14i	0.615791	+	1.32057i
$928$	−1.59963e15	+	1.39949e14i	−2.32423	+	0.203344i
$929$	−1.00593e15	−	1.77373e14i	−1.45375	−	0.256335i	−0.609713	−	0.792622i	$-0.708715\pi$
$929$	−1.00593e15	−	1.77373e14i	−1.45375	−	0.256335i	−0.844035	+	0.536287i	$0.819826\pi$
$930$	1.36220e14	−	1.64747e14i	0.195806	−	0.236812i
$931$	3.13901e14	−	4.05782e14i	0.448792	−	0.580156i
$932$	−1.71794e14	−	1.71794e14i	−0.244303	−	0.244303i
$933$	1.83822e14	+	2.62525e14i	0.260009	+	0.371332i
$934$	6.78387e14	−	8.08470e14i	0.954428	−	1.13744i
$935$	−5.91672e13	−	1.53957e13i	−0.0827985	−	0.0215448i
$936$	−2.42504e15	+	8.82643e14i	−3.37551	+	1.22859i
$937$	−4.84532e13	−	4.23910e12i	−0.0670848	−	0.00586916i	0.0535639	−	0.998564i	$-0.482942\pi$
$937$	−4.84532e13	−	4.23910e12i	−0.0670848	−	0.00586916i	−0.120649	+	0.992695i	$0.538497\pi$
$938$	−8.71751e14	−	2.33585e14i	−1.20055	−	0.321685i
$939$	3.01246e14	+	1.73925e14i	0.412661	+	0.238250i
$940$	−1.69878e15	+	4.68390e14i	−2.31472	+	0.638217i
$941$	7.69738e13	+	4.36540e14i	0.104327	+	0.591666i	0.991487	+	0.130205i	$0.0415634\pi$
$941$	7.69738e13	+	4.36540e14i	0.104327	+	0.591666i	−0.887161	+	0.461461i	$0.847325\pi$
$942$	−7.74431e14	+	2.07508e14i	−1.04407	+	0.279757i
$943$	7.87641e13	+	2.11048e13i	0.105626	+	0.0283023i
$944$	−1.29653e15	−	1.54515e15i	−1.72951	−	2.06115i
$945$	2.84633e14	+	1.01271e14i	0.377682	+	0.134378i
$946$	−9.07246e14	−	3.30210e14i	−1.19748	−	0.435848i
$947$	−9.25916e13	−	1.05833e15i	−0.121569	−	1.38954i	−0.774718	−	0.632307i	$-0.782108\pi$
$947$	−9.25916e13	−	1.05833e15i	−0.121569	−	1.38954i	0.653149	−	0.757229i	$-0.273447\pi$
$948$	−7.34305e14	−	1.04870e15i	−0.959036	−	1.36965i
$949$		−	1.75054e14i		−	0.227427i
$950$	3.02131e14	−	1.43431e15i	0.390460	−	1.85364i
$951$	−6.06005e14			−0.779064
$952$	1.33063e14	−	9.31719e13i	0.170166	−	0.119152i
$953$	−5.06197e14	+	4.42865e13i	−0.643954	+	0.0563387i	−0.404455	−	0.914558i	$-0.632539\pi$
$953$	−5.06197e14	+	4.42865e13i	−0.643954	+	0.0563387i	−0.239499	+	0.970897i	$0.576983\pi$
$954$	8.30151e13	−	2.28082e14i	0.105055	−	0.288635i
$955$	−1.14189e14	+	3.20939e14i	−0.143750	+	0.404023i
$956$	1.64796e15	−	1.38280e15i	2.06375	−	1.73169i
$957$	−4.59213e13	+	1.71381e14i	−0.0572077	+	0.213502i
$958$	−2.46358e14	−	9.19421e14i	−0.305309	−	1.13943i
$959$	−5.48450e14	+	9.67066e13i	−0.676152	+	0.119224i
$960$	−2.17974e14	−	7.90558e14i	−0.267330	−	0.969567i
$961$	3.50742e14	−	6.07502e14i	0.427928	−	0.741193i
$962$	2.13708e14	−	7.97570e14i	0.259386	−	0.968040i
$963$	−1.32635e13	+	1.51602e14i	−0.0160150	+	0.183052i
$964$	−3.58640e13	−	9.85355e13i	−0.0430798	−	0.118361i
$965$	5.78188e12	−	2.22203e13i	0.00690928	−	0.0265530i
$966$	−1.70277e13	−	1.42879e13i	−0.0202428	−	0.0169857i
$967$	−1.18617e14	+	8.30567e13i	−0.140286	+	0.0982296i	−0.641613	−	0.767029i	$-0.721734\pi$
$967$	−1.18617e14	+	8.30567e13i	−0.140286	+	0.0982296i	0.501327	+	0.865258i	$0.332846\pi$
$968$	−1.06818e15	+	1.06818e15i	−1.25681	+	1.25681i
$969$	−2.60651e13	−	4.12699e13i	−0.0305098	−	0.0483075i
$970$	−2.44602e15	−	2.02247e15i	−2.84840	−	2.35517i
$971$	1.69855e14	−	9.63295e14i	0.196781	−	1.11600i	−0.713080	−	0.701083i	$-0.752700\pi$
$971$	1.69855e14	−	9.63295e14i	0.196781	−	1.11600i	0.909860	−	0.414915i	$-0.136189\pi$
$972$	1.92605e14	+	2.20148e15i	0.221991	+	2.53737i
$973$	1.17658e14	−	5.48650e13i	0.134915	−	0.0629117i
$974$	−7.38471e13	−	2.02893e14i	−0.0842439	−	0.231458i
$975$	3.47246e14	−	4.26210e14i	0.394107	−	0.483727i
$976$	−7.25768e14	−	1.25707e15i	−0.819500	−	1.41942i
$977$	1.28945e15	−	3.45508e14i	1.44855	−	0.388137i	0.553028	−	0.833163i	$-0.313472\pi$
$977$	1.28945e15	−	3.45508e14i	1.44855	−	0.388137i	0.895518	+	0.445026i	$0.146806\pi$
$978$	2.53496e14	+	1.77500e14i	0.283320	+	0.198383i
$979$	−9.56569e14	+	1.68669e14i	−1.06366	+	0.187552i
$980$	−5.98613e14	−	1.60836e15i	−0.662241	−	1.77932i
$981$	5.27169e14	+	9.13083e14i	0.580236	+	1.00500i
$982$	−1.67451e15	−	1.46501e14i	−1.83371	−	0.160429i
$983$	3.03066e14	−	6.49928e14i	0.330195	−	0.708105i	−0.669193	−	0.743088i	$-0.733360\pi$
$983$	3.03066e14	−	6.49928e14i	0.330195	−	0.708105i	0.999388	+	0.0349836i	$0.0111379\pi$
$984$	−7.01348e14	+	1.92694e15i	−0.760253	+	2.08878i
$985$	6.12929e14	+	4.22600e14i	0.661042	+	0.455773i
$986$	−3.31503e13	+	1.88005e14i	−0.0355715	+	0.201736i
$987$	−1.35515e14	−	1.35515e14i	−0.144678	−	0.144678i
$988$	−1.92383e15	+	2.99385e15i	−2.04353	+	3.18013i
$989$			6.29229e13i			0.0665009i
$990$	9.39128e14	+	7.53187e13i	0.987527	+	0.0792003i
$991$	−5.59883e14	−	4.69797e14i	−0.585772	−	0.491521i	0.301065	−	0.953604i	$-0.402658\pi$
$991$	−5.59883e14	−	4.69797e14i	−0.585772	−	0.491521i	−0.886837	+	0.462083i	$0.847102\pi$
$992$	4.44720e14	+	9.53704e14i	0.462943	+	0.992785i
$993$	8.45059e13	−	1.81223e14i	0.0875267	−	0.187702i
$994$	6.99734e14	+	8.33911e14i	0.721109	+	0.859385i
$995$	−3.23010e14	+	1.91273e15i	−0.331208	+	1.96127i
$996$	3.15220e14	−	5.45977e14i	0.321600	−	0.557028i
$997$	5.49337e14	−	7.84534e14i	0.557652	−	0.796409i	−0.437026	−	0.899449i	$-0.643968\pi$
$997$	5.49337e14	−	7.84534e14i	0.557652	−	0.796409i	0.994677	+	0.103040i	$0.0328570\pi$
$998$	7.05175e13	+	4.93769e13i	0.0712270	+	0.0498736i
$999$	−2.42400e14	−	1.39949e14i	−0.243615	−	0.140651i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.11.q.a.17.3	✓	1176
5.3	odd	4	inner	95.11.q.a.93.96	yes	1176
19.9	even	9	inner	95.11.q.a.47.96	yes	1176
95.28	odd	36	inner	95.11.q.a.28.3	yes	1176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.11.q.a.17.3	✓	1176	1.1	even	1	trivial
95.11.q.a.28.3	yes	1176	95.28	odd	36	inner
95.11.q.a.47.96	yes	1176	19.9	even	9	inner
95.11.q.a.93.96	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+(-49.6554 + 34.7691i) q^{2} +(-103.426 + 9.04863i) q^{3} +(906.541 - 2490.70i) q^{4} +(1047.53 - 2944.20i) q^{5} +(4821.06 - 4045.35i) q^{6} +(-2245.69 + 8381.04i) q^{7} +(25519.1 + 95238.6i) q^{8} +(-47536.8 + 8382.02i) q^{9} +(50351.4 + 182617. i) q^{10} +(-51517.7 + 89231.3i) q^{11} +(-71222.8 + 265807. i) q^{12} +(47258.7 - 540169. i) q^{13} +(-179890. - 494245. i) q^{14} +(-81701.5 + 313986. i) q^{15} +(-2.49935e6 - 2.09721e6i) q^{16} +(-155537. + 108908. i) q^{17} +(2.06902e6 - 2.06902e6i) q^{18} +(332813. - 2.45363e6i) q^{19} +(-6.38349e6 - 5.27813e6i) q^{20} +(156427. - 887140. i) q^{21} +(-544358. - 6.22204e6i) q^{22} +(-368922. + 172031. i) q^{23} +(-3.50113e6 - 9.61926e6i) q^{24} +(-7.57097e6 - 6.16829e6i) q^{25} +(1.64345e7 + 2.84655e7i) q^{26} +(1.07624e7 - 2.88377e6i) q^{27} +(1.88389e7 + 1.31911e7i) q^{28} +(-1.63341e7 + 2.88015e6i) q^{29} +(-6.86009e6 - 1.84318e7i) q^{30} +(5.43472e6 + 9.41322e6i) q^{31} +(9.64439e7 + 8.43775e6i) q^{32} +(4.52086e6 - 9.69503e6i) q^{33} +(3.93662e6 - 1.08158e7i) q^{34} +(2.23230e7 + 1.53912e7i) q^{35} +(-2.22170e7 + 1.25999e8i) q^{36} +(-1.77633e7 - 1.77633e7i) q^{37} +(6.87846e7 + 1.33408e8i) q^{38} +5.62953e7i q^{39} +(3.07133e8 + 2.46323e7i) q^{40} +(-1.53455e8 - 1.28764e8i) q^{41} +(2.30776e7 + 4.94901e7i) q^{42} +(6.53279e7 - 1.40096e8i) q^{43} +(1.75546e8 + 2.09207e8i) q^{44} +(-2.51180e7 + 1.48738e8i) q^{45} +(1.23376e7 - 2.13693e7i) q^{46} +(1.22026e8 - 1.74272e8i) q^{47} +(2.77476e8 + 1.94290e8i) q^{48} +(1.79432e8 + 1.03595e8i) q^{49} +(5.90406e8 + 4.30531e7i) q^{50} +(1.51012e7 - 1.26714e7i) q^{51} +(-1.30256e9 - 6.07393e8i) q^{52} +(7.51797e7 - 3.50569e7i) q^{53} +(-4.34144e8 + 5.17392e8i) q^{54} +(2.08748e8 + 2.45151e8i) q^{55} -8.55507e8 q^{56} +(-1.22196e7 + 2.56781e8i) q^{57} +(7.10938e8 - 7.10938e8i) q^{58} +(6.08827e8 + 1.07353e8i) q^{59} +(7.07980e8 + 4.88135e8i) q^{60} +(4.18062e8 + 1.52162e8i) q^{61} +(-5.97152e8 - 2.78457e8i) q^{62} +(3.65030e7 - 4.17231e8i) q^{63} +(-2.18896e9 + 1.26380e9i) q^{64} +(-1.54086e9 - 7.04984e8i) q^{65} +(1.12602e8 + 6.38597e8i) q^{66} +(9.84202e8 - 1.40559e9i) q^{67} +(1.30257e8 + 4.86127e8i) q^{68} +(3.65996e7 - 2.11308e7i) q^{69} +(-1.64359e9 + 1.18950e7i) q^{70} +(-1.94489e9 + 7.07882e8i) q^{71} +(-2.01139e9 - 4.31344e9i) q^{72} +(3.21611e8 - 2.81373e7i) q^{73} +(1.49965e9 + 2.64429e8i) q^{74} +(8.38852e8 + 5.69456e8i) q^{75} +(-5.80955e9 - 3.05325e9i) q^{76} +(-6.32158e8 - 6.32158e8i) q^{77} +(-1.95734e9 - 2.79537e9i) q^{78} +(-2.99041e9 + 3.56383e9i) q^{79} +(-8.79274e9 + 5.16170e9i) q^{80} +(1.59139e9 - 5.79219e8i) q^{81} +(1.20968e10 + 1.05834e9i) q^{82} +(-2.21291e9 - 5.92949e8i) q^{83} +(-2.06779e9 - 1.19384e9i) q^{84} +(1.57717e8 + 5.72018e8i) q^{85} +(1.62713e9 + 9.22792e9i) q^{86} +(1.66332e9 - 4.45684e8i) q^{87} +(-9.81295e9 - 2.62937e9i) q^{88} +(6.05963e9 + 7.22158e9i) q^{89} +(-3.92424e9 - 8.25899e9i) q^{90} +(4.42105e9 + 1.60913e9i) q^{91} +(9.40352e7 + 1.07483e9i) q^{92} +(-6.47270e8 - 9.24397e8i) q^{93} +1.28963e10i q^{94} +(-6.87534e9 - 3.55013e9i) q^{95} -1.00512e10 q^{96} +(-1.37246e10 + 9.61007e9i) q^{97} +(-1.25117e10 + 1.09463e9i) q^{98} +(1.70105e9 - 4.67359e9i) 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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