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Properties

Label 71.10.g.a.2.17
Level $71$
Weight $10$
Character 71.2
Analytic conductor $36.568$
Analytic rank $0$
Dimension $1272$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [71,10,Mod(2,71)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(71, base_ring=CyclotomicField(70))
 
chi = DirichletCharacter(H, H._module([6]))
 
N = Newforms(chi, 10, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("71.2");
 
S:= CuspForms(chi, 10);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 71 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 71.g (of order \(35\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(36.5675443676\)
Analytic rank: \(0\)
Dimension: \(1272\)
Relative dimension: \(53\) over \(\Q(\zeta_{35})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{35}]$

Embedding invariants

Embedding label 2.17
Character \(\chi\) \(=\) 71.2
Dual form 71.10.g.a.36.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.814302 + 18.1318i) q^{2} +(44.5835 + 38.9515i) q^{3} +(181.838 + 16.3657i) q^{4} +(601.072 + 1849.91i) q^{5} +(-742.566 + 776.664i) q^{6} +(-8764.18 - 2418.76i) q^{7} +(-1692.22 + 12492.5i) q^{8} +(-2171.64 - 16031.7i) q^{9} +O(q^{10})\) \(q+(-0.814302 + 18.1318i) q^{2} +(44.5835 + 38.9515i) q^{3} +(181.838 + 16.3657i) q^{4} +(601.072 + 1849.91i) q^{5} +(-742.566 + 776.664i) q^{6} +(-8764.18 - 2418.76i) q^{7} +(-1692.22 + 12492.5i) q^{8} +(-2171.64 - 16031.7i) q^{9} +(-34031.7 + 9392.15i) q^{10} +(1788.25 - 3323.12i) q^{11} +(7469.52 + 7812.51i) q^{12} +(-65314.6 - 121375. i) q^{13} +(50993.3 - 156941. i) q^{14} +(-45258.7 + 105888. i) q^{15} +(-133159. - 24164.7i) q^{16} +(-330671. - 240246. i) q^{17} +(292452. - 26321.2i) q^{18} +(23534.5 + 55061.6i) q^{19} +(79022.7 + 346221. i) q^{20} +(-296524. - 449215. i) q^{21} +(58798.1 + 35130.2i) q^{22} +(348434. + 436922. i) q^{23} +(-562046. + 491045. i) q^{24} +(-1.48076e6 + 1.07584e6i) q^{25} +(2.25394e6 - 1.08544e6i) q^{26} +(1.16959e6 - 1.77185e6i) q^{27} +(-1.55408e6 - 583255. i) q^{28} +(-4.39625e6 + 2.62664e6i) q^{29} +(-1.88309e6 - 906849. i) q^{30} +(-4.72693e6 + 857810. i) q^{31} +(-889695. + 3.89801e6i) q^{32} +(209167. - 78501.6i) q^{33} +(4.62537e6 - 5.80003e6i) q^{34} +(-793416. - 1.76668e7i) q^{35} +(-132517. - 2.95071e6i) q^{36} +(-1.28626e6 + 1.61292e6i) q^{37} +(-1.01753e6 + 381887. i) q^{38} +(1.81577e6 - 7.95542e6i) q^{39} +(-2.41271e7 + 4.37843e6i) q^{40} +(1.48022e7 + 7.12837e6i) q^{41} +(8.38655e6 - 5.01073e6i) q^{42} +(-2.95545e6 - 1.10920e6i) q^{43} +(379557. - 575004. i) q^{44} +(2.83518e7 - 1.36535e7i) q^{45} +(-8.20593e6 + 5.96196e6i) q^{46} +(1.57769e7 - 1.37839e7i) q^{47} +(-4.99543e6 - 6.26408e6i) q^{48} +(3.63190e7 + 2.16996e7i) q^{49} +(-1.83011e7 - 2.77250e7i) q^{50} +(-5.38452e6 - 2.35911e7i) q^{51} +(-9.89030e6 - 2.31395e7i) q^{52} +(8.93636e7 - 8.04287e6i) q^{53} +(3.11745e7 + 2.26496e7i) q^{54} +(7.22233e6 + 1.31066e6i) q^{55} +(4.50473e7 - 1.05393e8i) q^{56} +(-1.09548e6 + 3.37155e6i) q^{57} +(-4.40459e7 - 8.18510e7i) q^{58} +(-1.14526e8 - 1.19785e8i) q^{59} +(-9.96270e6 + 1.85138e7i) q^{60} +(-1.02401e8 + 2.82608e7i) q^{61} +(-1.17045e7 - 8.64064e7i) q^{62} +(-1.97442e7 + 1.45757e8i) q^{63} +(-1.36747e8 - 3.77399e7i) q^{64} +(1.85274e8 - 1.93781e8i) q^{65} +(1.25305e6 + 3.85650e6i) q^{66} +(-1.50546e8 - 1.35493e7i) q^{67} +(-5.61967e7 - 4.90976e7i) q^{68} +(-1.48435e6 + 3.30515e7i) q^{69} +3.20977e8 q^{70} +(1.93686e8 + 9.12912e7i) q^{71} +2.03950e8 q^{72} +(-8.94863e6 + 1.99257e8i) q^{73} +(-2.81979e7 - 2.46357e7i) q^{74} +(-1.07923e8 - 9.71325e6i) q^{75} +(3.37834e6 + 1.03975e7i) q^{76} +(-2.37104e7 + 2.47991e7i) q^{77} +(1.42768e8 + 3.94014e7i) q^{78} +(-2.50237e6 + 1.84732e7i) q^{79} +(-3.53354e7 - 2.60856e8i) q^{80} +(-1.85798e8 + 5.12769e7i) q^{81} +(-1.41304e8 + 2.62587e8i) q^{82} +(-4.16131e8 - 4.35239e8i) q^{83} +(-4.65677e7 - 8.65372e7i) q^{84} +(2.45677e8 - 7.56115e8i) q^{85} +(2.25184e7 - 5.26845e7i) q^{86} +(-2.98312e8 - 5.41356e7i) q^{87} +(3.84879e7 + 2.79631e7i) q^{88} +(-5.63028e8 + 5.06735e7i) q^{89} +(2.24476e8 + 5.25189e8i) q^{90} +(2.78852e8 + 1.22173e9i) q^{91} +(5.62080e7 + 8.51515e7i) q^{92} +(-2.44156e8 - 1.45876e8i) q^{93} +(2.37080e8 + 2.97289e8i) q^{94} +(-8.77131e7 + 7.66326e7i) q^{95} +(-1.91499e8 + 1.39132e8i) q^{96} +(-1.09462e9 + 5.27141e8i) q^{97} +(-4.23028e8 + 6.40860e8i) q^{98} +(-5.71586e7 - 2.14520e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9} - 53448 q^{10} - 170685 q^{11} + 138323 q^{12} - 93291 q^{13} + 985964 q^{14} - 966194 q^{15} + 4755334 q^{16} + 2558412 q^{17} - 2619769 q^{18} - 172269 q^{19} + 738120 q^{20} + 1797929 q^{21} + 3015622 q^{22} + 6635088 q^{23} + 4803145 q^{24} - 115100016 q^{25} + 19254293 q^{26} - 17686931 q^{27} + 15761532 q^{28} - 10052927 q^{29} + 62637435 q^{30} - 23748991 q^{31} + 10388192 q^{32} - 15097203 q^{33} + 33217854 q^{34} - 24823174 q^{35} + 27856812 q^{36} - 27156308 q^{37} - 43400577 q^{38} + 251072838 q^{39} - 129856160 q^{40} + 62087988 q^{41} - 91873950 q^{42} - 167299067 q^{43} + 60914131 q^{44} - 31536191 q^{45} - 50201490 q^{46} - 23317743 q^{47} + 10641329 q^{48} + 338745866 q^{49} + 303770229 q^{50} + 448039613 q^{51} - 979580293 q^{52} + 12085215 q^{53} - 182583505 q^{54} - 243892552 q^{55} + 30440435 q^{56} + 714581966 q^{57} - 244549660 q^{58} - 859013315 q^{59} - 1894499000 q^{60} - 876373921 q^{61} + 186553636 q^{62} - 196611021 q^{63} + 5528242635 q^{64} + 867018244 q^{65} + 2727701199 q^{66} - 286780089 q^{67} - 1689988351 q^{68} - 3073308182 q^{69} - 41489396 q^{70} - 2538053548 q^{71} - 6821388000 q^{72} + 128479023 q^{73} + 3282772334 q^{74} + 3407782757 q^{75} + 7133788844 q^{76} + 1087098389 q^{77} + 2715049934 q^{78} + 144243625 q^{79} - 7443877603 q^{80} - 4083269278 q^{81} - 10375744380 q^{82} + 1543773955 q^{83} - 4117054288 q^{84} + 7843382686 q^{85} + 3545751759 q^{86} + 5261609811 q^{87} - 818728797 q^{88} - 1369081479 q^{89} + 10041256259 q^{90} - 7299574322 q^{91} + 602797624 q^{92} - 2146129677 q^{93} - 683447510 q^{94} - 7007204038 q^{95} + 6601829126 q^{96} - 10081488030 q^{97} - 5942379880 q^{98} - 4074592265 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Display 100 coefficients 10 coefficients

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/71\mathbb{Z}\right)^\times\).

\(n\) \(7\)
\(\chi(n)\) \(e\left(\frac{3}{35}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.814302 + 18.1318i −0.0359874 + 0.801322i 0.897134 + 0.441759i \(0.145645\pi\)
−0.933121 + 0.359562i \(0.882926\pi\)
\(3\) 44.5835 + 38.9515i 0.317782 + 0.277638i 0.802018 − 0.597300i \(-0.203760\pi\)
−0.484236 + 0.874937i \(0.660903\pi\)
\(4\) 181.838 + 16.3657i 0.355153 + 0.0319643i
\(5\) 601.072 + 1849.91i 0.430092 + 1.32369i 0.898033 + 0.439927i \(0.144996\pi\)
−0.467942 + 0.883759i \(0.655004\pi\)
\(6\) −742.566 + 776.664i −0.233913 + 0.244654i
\(7\) −8764.18 − 2418.76i −1.37965 − 0.380760i −0.504002 − 0.863702i \(-0.668140\pi\)
−0.875652 + 0.482942i \(0.839568\pi\)
\(8\) −1692.22 + 12492.5i −0.146067 + 1.07831i
\(9\) −2171.64 − 16031.7i −0.110331 − 0.814493i
\(10\) −34031.7 + 9392.15i −1.07618 + 0.297006i
\(11\) 1788.25 − 3323.12i 0.0368265 − 0.0684351i −0.861517 − 0.507728i \(-0.830485\pi\)
0.898344 + 0.439293i \(0.144771\pi\)
\(12\) 7469.52 + 7812.51i 0.103987 + 0.108761i
\(13\) −65314.6 − 121375.i −0.634257 − 1.17865i −0.971457 − 0.237214i \(-0.923766\pi\)
0.337200 − 0.941433i \(-0.390520\pi\)
\(14\) 50993.3 − 156941.i 0.354762 − 1.09184i
\(15\) −45258.7 + 105888.i −0.230830 + 0.540053i
\(16\) −133159. − 24164.7i −0.507960 − 0.0921812i
\(17\) −330671. − 240246.i −0.960230 − 0.697648i −0.00702597 − 0.999975i \(-0.502236\pi\)
−0.953204 + 0.302327i \(0.902236\pi\)
\(18\) 292452. − 26321.2i 0.656642 − 0.0590988i
\(19\) 23534.5 + 55061.6i 0.0414298 + 0.0969299i 0.938965 − 0.344014i \(-0.111787\pi\)
−0.897535 + 0.440944i \(0.854644\pi\)
\(20\) 79022.7 + 346221.i 0.110438 + 0.483858i
\(21\) −296524. − 449215.i −0.332716 − 0.504042i
\(22\) 58798.1 + 35130.2i 0.0535133 + 0.0319727i
\(23\) 348434. + 436922.i 0.259624 + 0.325558i 0.894510 − 0.447047i \(-0.147524\pi\)
−0.634886 + 0.772606i \(0.718953\pi\)
\(24\) −562046. + 491045.i −0.345797 + 0.302114i
\(25\) −1.48076e6 + 1.07584e6i −0.758150 + 0.550828i
\(26\) 2.25394e6 − 1.08544e6i 0.967301 − 0.465828i
\(27\) 1.16959e6 − 1.77185e6i 0.423541 − 0.641637i
\(28\) −1.55408e6 − 583255.i −0.477817 − 0.179328i
\(29\) −4.39625e6 + 2.62664e6i −1.15423 + 0.689619i −0.956814 − 0.290702i \(-0.906111\pi\)
−0.197413 + 0.980320i \(0.563254\pi\)
\(30\) −1.88309e6 − 906849.i −0.424449 − 0.204404i
\(31\) −4.72693e6 + 857810.i −0.919287 + 0.166826i −0.617520 − 0.786556i \(-0.711862\pi\)
−0.301767 + 0.953382i \(0.597577\pi\)
\(32\) −889695. + 3.89801e6i −0.149991 + 0.657155i
\(33\) 209167. − 78501.6i 0.0307029 − 0.0115230i
\(34\) 4.62537e6 − 5.80003e6i 0.593597 − 0.744347i
\(35\) −793416. − 1.76668e7i −0.0893706 − 1.98999i
\(36\) −132517. − 2.95071e6i −0.0131495 − 0.292796i
\(37\) −1.28626e6 + 1.61292e6i −0.112829 + 0.141484i −0.835039 − 0.550190i \(-0.814555\pi\)
0.722210 + 0.691674i \(0.243127\pi\)
\(38\) −1.01753e6 + 381887.i −0.0791630 + 0.0297104i
\(39\) 1.81577e6 − 7.95542e6i 0.125681 − 0.550646i
\(40\) −2.41271e7 + 4.37843e6i −1.49017 + 0.270426i
\(41\) 1.48022e7 + 7.12837e6i 0.818087 + 0.393970i 0.795634 − 0.605778i \(-0.207138\pi\)
0.0224533 + 0.999748i \(0.492852\pi\)
\(42\) 8.38655e6 − 5.01073e6i 0.415874 − 0.248473i
\(43\) −2.95545e6 − 1.10920e6i −0.131830 − 0.0494767i 0.284588 − 0.958650i \(-0.408143\pi\)
−0.416418 + 0.909173i \(0.636715\pi\)
\(44\) 379557. − 575004.i 0.0152665 − 0.0231278i
\(45\) 2.83518e7 − 1.36535e7i 1.03068 − 0.496350i
\(46\) −8.20593e6 + 5.96196e6i −0.270220 + 0.196326i
\(47\) 1.57769e7 − 1.37839e7i 0.471609 − 0.412032i −0.389048 − 0.921217i \(-0.627196\pi\)
0.860657 + 0.509185i \(0.170053\pi\)
\(48\) −4.99543e6 − 6.26408e6i −0.135827 − 0.170322i
\(49\) 3.63190e7 + 2.16996e7i 0.900019 + 0.537736i
\(50\) −1.83011e7 − 2.77250e7i −0.414107 − 0.627345i
\(51\) −5.38452e6 − 2.35911e7i −0.111450 − 0.488296i
\(52\) −9.89030e6 − 2.31395e7i −0.187583 − 0.438873i
\(53\) 8.93636e7 − 8.04287e6i 1.55568 − 0.140013i 0.721853 − 0.692046i \(-0.243290\pi\)
0.833823 + 0.552033i \(0.186148\pi\)
\(54\) 3.11745e7 + 2.26496e7i 0.498916 + 0.362483i
\(55\) 7.22233e6 + 1.31066e6i 0.106425 + 0.0193134i
\(56\) 4.50473e7 − 1.05393e8i 0.612100 − 1.43208i
\(57\) −1.09548e6 + 3.37155e6i −0.0137457 + 0.0423050i
\(58\) −4.40459e7 − 8.18510e7i −0.511069 − 0.949725i
\(59\) −1.14526e8 − 1.19785e8i −1.23047 − 1.28697i −0.944415 − 0.328755i \(-0.893371\pi\)
−0.286053 − 0.958214i \(-0.592343\pi\)
\(60\) −9.96270e6 + 1.85138e7i −0.0992422 + 0.184423i
\(61\) −1.02401e8 + 2.82608e7i −0.946931 + 0.261336i −0.705201 − 0.709007i \(-0.749143\pi\)
−0.241730 + 0.970344i \(0.577715\pi\)
\(62\) −1.17045e7 − 8.64064e7i −0.100599 − 0.742648i
\(63\) −1.97442e7 + 1.45757e8i −0.157909 + 1.16573i
\(64\) −1.36747e8 − 3.77399e7i −1.01885 − 0.281184i
\(65\) 1.85274e8 − 1.93781e8i 1.28737 − 1.34648i
\(66\) 1.25305e6 + 3.85650e6i 0.00812872 + 0.0250176i
\(67\) −1.50546e8 − 1.35493e7i −0.912707 − 0.0821451i −0.376678 − 0.926344i \(-0.622934\pi\)
−0.536029 + 0.844199i \(0.680076\pi\)
\(68\) −5.61967e7 − 4.90976e7i −0.318729 − 0.278465i
\(69\) −1.48435e6 + 3.30515e7i −0.00788341 + 0.175538i
\(70\) 3.20977e8 1.59784
\(71\) 1.93686e8 + 9.12912e7i 0.904558 + 0.426350i
\(72\) 2.03950e8 0.894393
\(73\) −8.94863e6 + 1.99257e8i −0.0368811 + 0.821221i 0.892266 + 0.451511i \(0.149115\pi\)
−0.929147 + 0.369711i \(0.879457\pi\)
\(74\) −2.81979e7 − 2.46357e7i −0.109313 − 0.0955043i
\(75\) −1.07923e8 − 9.71325e6i −0.393857 − 0.0354478i
\(76\) 3.37834e6 + 1.03975e7i 0.0116156 + 0.0357492i
\(77\) −2.37104e7 + 2.47991e7i −0.0768652 + 0.0803947i
\(78\) 1.42768e8 + 3.94014e7i 0.436722 + 0.120528i
\(79\) −2.50237e6 + 1.84732e7i −0.00722819 + 0.0533606i −0.994205 − 0.107504i \(-0.965714\pi\)
0.986976 + 0.160865i \(0.0514283\pi\)
\(80\) −3.53354e7 − 2.60856e8i −0.0964505 − 0.712026i
\(81\) −1.85798e8 + 5.12769e7i −0.479576 + 0.132355i
\(82\) −1.41304e8 + 2.62587e8i −0.345138 + 0.641373i
\(83\) −4.16131e8 − 4.35239e8i −0.962451 − 1.00664i −0.999973 − 0.00734907i \(-0.997661\pi\)
0.0375220 − 0.999296i \(-0.488054\pi\)
\(84\) −4.65677e7 − 8.65372e7i −0.102053 − 0.189647i
\(85\) 2.45677e8 − 7.56115e8i 0.510480 − 1.57110i
\(86\) 2.25184e7 − 5.26845e7i 0.0443910 − 0.103858i
\(87\) −2.98312e8 − 5.41356e7i −0.558256 − 0.101309i
\(88\) 3.84879e7 + 2.79631e7i 0.0684152 + 0.0497066i
\(89\) −5.63028e8 + 5.06735e7i −0.951207 + 0.0856102i −0.554362 − 0.832276i \(-0.687038\pi\)
−0.396845 + 0.917886i \(0.629895\pi\)
\(90\) 2.24476e8 + 5.25189e8i 0.360645 + 0.843770i
\(91\) 2.78852e8 + 1.22173e9i 0.426273 + 1.86763i
\(92\) 5.62080e7 + 8.51515e7i 0.0817999 + 0.123922i
\(93\) −2.44156e8 − 1.45876e8i −0.338450 − 0.202214i
\(94\) 2.37080e8 + 2.97289e8i 0.313198 + 0.392738i
\(95\) −8.77131e7 + 7.66326e7i −0.110486 + 0.0965289i
\(96\) −1.91499e8 + 1.39132e8i −0.230115 + 0.167189i
\(97\) −1.09462e9 + 5.27141e8i −1.25542 + 0.604580i −0.938961 − 0.344024i \(-0.888210\pi\)
−0.316463 + 0.948605i \(0.602495\pi\)
\(98\) −4.23028e8 + 6.40860e8i −0.463289 + 0.701853i
\(99\) −5.71586e7 − 2.14520e7i −0.0598031 − 0.0224445i
\(100\) −2.86866e8 + 1.71394e8i −0.286866 + 0.171394i
\(101\) −1.21077e8 − 5.83075e7i −0.115775 − 0.0557543i 0.375100 − 0.926984i \(-0.377608\pi\)
−0.490875 + 0.871230i \(0.663323\pi\)
\(102\) 4.32135e8 − 7.84210e7i 0.395293 − 0.0717351i
\(103\) 1.82513e8 − 7.99642e8i 0.159781 − 0.700048i −0.830036 − 0.557709i \(-0.811680\pi\)
0.989818 − 0.142339i \(-0.0454624\pi\)
\(104\) 1.62680e9 − 6.10549e8i 1.36359 − 0.511765i
\(105\) 6.52774e8 − 8.18552e8i 0.524096 − 0.657196i
\(106\) 7.30631e7 + 1.62688e9i 0.0562110 + 1.25164i
\(107\) 5.45533e7 + 1.21472e9i 0.0402341 + 0.895882i 0.913054 + 0.407839i \(0.133718\pi\)
−0.872820 + 0.488043i \(0.837711\pi\)
\(108\) 2.41673e8 − 3.03048e8i 0.170931 − 0.214341i
\(109\) −9.72621e8 + 3.65031e8i −0.659970 + 0.247691i −0.658811 − 0.752308i \(-0.728940\pi\)
−0.00115919 + 0.999999i \(0.500369\pi\)
\(110\) −2.96458e7 + 1.29887e8i −0.0193062 + 0.0845860i
\(111\) −1.20172e8 + 2.18080e7i −0.0751363 + 0.0136352i
\(112\) 1.10858e9 + 5.33863e8i 0.665710 + 0.320589i
\(113\) 1.82851e9 − 1.09248e9i 1.05498 − 0.630320i 0.122842 − 0.992426i \(-0.460799\pi\)
0.932137 + 0.362106i \(0.117942\pi\)
\(114\) −6.02403e7 − 2.26086e7i −0.0334053 − 0.0125372i
\(115\) −5.98832e8 + 9.07192e8i −0.319275 + 0.483681i
\(116\) −8.42393e8 + 4.05675e8i −0.431970 + 0.208026i
\(117\) −1.80400e9 + 1.31068e9i −0.890022 + 0.646639i
\(118\) 2.26518e9 − 1.97903e9i 1.07556 − 0.939686i
\(119\) 2.31696e9 + 2.90537e9i 1.05915 + 1.32813i
\(120\) −1.24622e9 − 7.44581e8i −0.548629 − 0.327790i
\(121\) 1.29114e9 + 1.95599e9i 0.547570 + 0.829533i
\(122\) −4.29035e8 − 1.87973e9i −0.175337 − 0.768202i
\(123\) 3.82275e8 + 8.94376e8i 0.150592 + 0.352328i
\(124\) −8.73574e8 + 7.86231e7i −0.331820 + 0.0298643i
\(125\) 1.93246e8 + 1.40401e8i 0.0707970 + 0.0514370i
\(126\) −2.62677e9 − 4.76688e8i −0.928441 − 0.168487i
\(127\) 1.34632e8 − 3.14986e8i 0.0459230 − 0.107442i −0.894996 − 0.446075i \(-0.852822\pi\)
0.940919 + 0.338633i \(0.109964\pi\)
\(128\) 1.63057e8 − 5.01837e8i 0.0536900 − 0.165241i
\(129\) −8.85594e7 − 1.64571e8i −0.0281567 − 0.0523238i
\(130\) 3.36274e9 + 3.51715e9i 1.03264 + 1.08005i
\(131\) −2.63312e9 + 4.89315e9i −0.781177 + 1.45167i 0.108022 + 0.994148i \(0.465548\pi\)
−0.889199 + 0.457521i \(0.848737\pi\)
\(132\) 3.93193e7 − 1.08514e7i 0.0112726 − 0.00311103i
\(133\) −7.30795e7 − 5.39495e8i −0.0202518 − 0.149505i
\(134\) 3.68264e8 − 2.71864e9i 0.0986706 − 0.728416i
\(135\) 3.98076e9 + 1.09862e9i 1.03149 + 0.284673i
\(136\) 3.56084e9 − 3.72435e9i 0.892540 − 0.933524i
\(137\) −5.12653e8 − 1.57778e9i −0.124331 − 0.382653i 0.869447 − 0.494026i \(-0.164475\pi\)
−0.993779 + 0.111373i \(0.964475\pi\)
\(138\) −5.98076e8 − 5.38278e7i −0.140379 − 0.0126343i
\(139\) 1.94639e9 + 1.70051e9i 0.442245 + 0.386378i 0.850059 − 0.526687i \(-0.176566\pi\)
−0.407814 + 0.913065i \(0.633709\pi\)
\(140\) 1.44857e8 − 3.22548e9i 0.0318685 − 0.709608i
\(141\) 1.24029e9 0.264264
\(142\) −1.81300e9 + 3.43755e9i −0.374196 + 0.709499i
\(143\) −5.20142e8 −0.104018
\(144\) −9.82288e7 + 2.18723e9i −0.0190374 + 0.423901i
\(145\) −7.50150e9 − 6.55386e9i −1.40926 − 1.23124i
\(146\) −3.60561e9 − 3.24510e8i −0.656735 − 0.0591073i
\(147\) 7.73999e8 + 2.38212e9i 0.136714 + 0.420762i
\(148\) −2.60289e8 + 2.72241e8i −0.0445941 + 0.0466418i
\(149\) −8.98523e9 − 2.47977e9i −1.49345 − 0.412166i −0.578484 − 0.815694i \(-0.696355\pi\)
−0.914968 + 0.403527i \(0.867784\pi\)
\(150\) 2.64001e8 − 1.94893e9i 0.0425789 − 0.314330i
\(151\) 3.92484e8 + 2.89743e9i 0.0614364 + 0.453541i 0.995372 + 0.0960995i \(0.0306367\pi\)
−0.933935 + 0.357442i \(0.883649\pi\)
\(152\) −7.27683e8 + 2.00828e8i −0.110572 + 0.0305160i
\(153\) −3.13345e9 + 5.82293e9i −0.462287 + 0.859073i
\(154\) −4.30346e8 − 4.50107e8i −0.0616559 − 0.0644870i
\(155\) −4.42809e9 − 8.22877e9i −0.616203 − 1.14510i
\(156\) 4.60373e8 − 1.41688e9i 0.0622371 − 0.191546i
\(157\) 4.95961e9 − 1.16036e10i 0.651478 − 1.52421i −0.188780 − 0.982019i \(-0.560453\pi\)
0.840257 − 0.542188i \(-0.182404\pi\)
\(158\) −3.32916e8 − 6.04153e7i −0.0424989 − 0.00771241i
\(159\) 4.29743e9 + 3.12226e9i 0.533238 + 0.387420i
\(160\) −7.74573e9 + 6.97128e8i −0.934377 + 0.0840955i
\(161\) −1.99693e9 − 4.67204e9i −0.234232 − 0.548012i
\(162\) −7.78449e8 − 3.41061e9i −0.0887999 − 0.389058i
\(163\) −3.69094e9 − 5.59154e9i −0.409537 − 0.620422i 0.570010 − 0.821638i \(-0.306939\pi\)
−0.979547 + 0.201216i \(0.935511\pi\)
\(164\) 2.57495e9 + 1.53846e9i 0.277953 + 0.166069i
\(165\) 2.70945e8 + 3.39754e8i 0.0284579 + 0.0356851i
\(166\) 8.23054e9 − 7.19081e9i 0.841283 − 0.735006i
\(167\) −5.14413e9 + 3.73743e9i −0.511786 + 0.371834i −0.813501 − 0.581564i \(-0.802441\pi\)
0.301715 + 0.953398i \(0.402441\pi\)
\(168\) 6.11360e9 − 2.94415e9i 0.592114 − 0.285147i
\(169\) −4.62388e9 + 7.00488e9i −0.436030 + 0.660557i
\(170\) 1.35097e10 + 5.07028e9i 1.24058 + 0.465599i
\(171\) 8.31622e8 − 4.96871e8i 0.0743778 − 0.0444387i
\(172\) −5.19260e8 − 2.50063e8i −0.0452384 − 0.0217857i
\(173\) 1.27287e10 − 2.30992e9i 1.08038 − 0.196060i 0.390950 − 0.920412i \(-0.372146\pi\)
0.689431 + 0.724352i \(0.257861\pi\)
\(174\) 1.22449e9 − 5.36486e9i 0.101271 − 0.443697i
\(175\) 1.55799e10 − 5.84722e9i 1.25572 − 0.471279i
\(176\) −3.18423e8 + 3.99290e8i −0.0250148 + 0.0313676i
\(177\) −4.40181e8 − 9.80139e9i −0.0337094 − 0.750599i
\(178\) −4.60328e8 − 1.02500e10i −0.0343698 − 0.765304i
\(179\) −7.47481e9 + 9.37312e9i −0.544204 + 0.682410i −0.975550 − 0.219776i \(-0.929467\pi\)
0.431346 + 0.902186i \(0.358039\pi\)
\(180\) 5.37889e9 − 2.01873e9i 0.381915 − 0.143335i
\(181\) 1.31434e9 − 5.75849e9i 0.0910235 − 0.398800i −0.908807 − 0.417217i \(-0.863006\pi\)
0.999830 + 0.0184171i \(0.00586267\pi\)
\(182\) −2.23793e10 + 4.06125e9i −1.51191 + 0.274371i
\(183\) −5.66618e9 − 2.72869e9i −0.373474 − 0.179856i
\(184\) −6.04787e9 + 3.61344e9i −0.388976 + 0.232402i
\(185\) −3.75690e9 − 1.40999e9i −0.235807 − 0.0884998i
\(186\) 2.84383e9 − 4.30821e9i 0.174219 − 0.263930i
\(187\) −1.38969e9 + 6.69238e8i −0.0831055 + 0.0400215i
\(188\) 3.09443e9 − 2.24824e9i 0.180664 − 0.131260i
\(189\) −1.45361e10 + 1.26998e10i −0.828650 + 0.723970i
\(190\) −1.31807e9 − 1.65280e9i −0.0733746 − 0.0920088i
\(191\) 1.33483e10 + 7.97523e9i 0.725730 + 0.433604i 0.827691 − 0.561185i \(-0.189654\pi\)
−0.101960 + 0.994788i \(0.532511\pi\)
\(192\) −4.62666e9 − 7.00909e9i −0.245704 − 0.372225i
\(193\) 2.28561e9 + 1.00139e10i 0.118576 + 0.519513i 0.998974 + 0.0452793i \(0.0144178\pi\)
−0.880399 + 0.474234i \(0.842725\pi\)
\(194\) −8.66669e9 − 2.02767e10i −0.439284 − 1.02776i
\(195\) 1.58082e10 − 1.42276e9i 0.782937 − 0.0704656i
\(196\) 6.24905e9 + 4.54020e9i 0.302456 + 0.219747i
\(197\) −1.55856e10 − 2.82837e9i −0.737268 − 0.133794i −0.203082 − 0.979162i \(-0.565096\pi\)
−0.534185 + 0.845367i \(0.679382\pi\)
\(198\) 4.35508e8 − 1.01892e9i 0.0201374 − 0.0471138i
\(199\) −2.28364e9 + 7.02832e9i −0.103226 + 0.317697i −0.989310 − 0.145828i \(-0.953415\pi\)
0.886084 + 0.463525i \(0.153415\pi\)
\(200\) −1.09341e10 − 2.03190e10i −0.483224 − 0.897980i
\(201\) −6.18409e9 − 6.46805e9i −0.267235 − 0.279506i
\(202\) 1.15582e9 − 2.14786e9i 0.0488435 − 0.0907665i
\(203\) 4.48827e10 − 1.23868e10i 1.85501 − 0.511951i
\(204\) −5.93025e8 − 4.37789e9i −0.0239738 − 0.176982i
\(205\) −4.28964e9 + 3.16674e10i −0.169640 + 1.25233i
\(206\) 1.43504e10 + 3.96045e9i 0.555214 + 0.153229i
\(207\) 6.24792e9 − 6.53481e9i 0.236521 − 0.247381i
\(208\) 5.76422e9 + 1.77404e10i 0.213528 + 0.657172i
\(209\) 2.25062e8 + 2.02559e7i 0.00815913 + 0.000734335i
\(210\) 1.43103e10 + 1.25025e10i 0.507764 + 0.443620i
\(211\) −1.23953e9 + 2.76002e10i −0.0430512 + 0.958608i 0.854976 + 0.518668i \(0.173572\pi\)
−0.898027 + 0.439940i \(0.855000\pi\)
\(212\) 1.63813e10 0.556978
\(213\) 5.07930e9 + 1.16145e10i 0.169081 + 0.386626i
\(214\) −2.20696e10 −0.719338
\(215\) 2.75479e8 − 6.13401e9i 0.00879256 − 0.195781i
\(216\) 2.01556e10 + 1.76094e10i 0.630019 + 0.550431i
\(217\) 4.35025e10 + 3.91529e9i 1.33182 + 0.119866i
\(218\) −5.82667e9 − 1.79327e10i −0.174730 − 0.537762i
\(219\) −8.16031e9 + 8.53501e9i −0.239722 + 0.250730i
\(220\) 1.29185e9 + 3.56527e8i 0.0371799 + 0.0102610i
\(221\) −7.56224e9 + 5.58267e10i −0.213248 + 1.57426i
\(222\) −2.97563e8 − 2.19670e9i −0.00822225 − 0.0606991i
\(223\) −8.29055e9 + 2.28805e9i −0.224497 + 0.0619573i −0.376476 − 0.926426i \(-0.622864\pi\)
0.151978 + 0.988384i \(0.451436\pi\)
\(224\) 1.72258e10 − 3.20109e10i 0.457155 − 0.849536i
\(225\) 2.04631e10 + 2.14028e10i 0.532293 + 0.556735i
\(226\) 1.83198e10 + 3.40438e10i 0.467123 + 0.868061i
\(227\) −2.04032e10 + 6.27947e10i −0.510014 + 1.56966i 0.282160 + 0.959367i \(0.408949\pi\)
−0.792174 + 0.610295i \(0.791051\pi\)
\(228\) −2.54378e8 + 5.95147e8i −0.00623409 + 0.0145854i
\(229\) −6.52757e10 − 1.18458e10i −1.56853 − 0.284645i −0.676435 − 0.736502i \(-0.736476\pi\)
−0.892091 + 0.451857i \(0.850762\pi\)
\(230\) −1.59614e10 − 1.15967e10i −0.376094 − 0.273248i
\(231\) −2.02305e9 + 1.82078e8i −0.0467470 + 0.00420730i
\(232\) −2.53738e10 − 5.93650e10i −0.575029 − 1.34535i
\(233\) −9.23129e9 − 4.04449e10i −0.205192 − 0.899006i −0.967716 − 0.252045i \(-0.918897\pi\)
0.762523 − 0.646961i \(-0.223960\pi\)
\(234\) −2.22961e10 − 3.37772e10i −0.486136 − 0.736465i
\(235\) 3.49820e10 + 2.09008e10i 0.748237 + 0.447051i
\(236\) −1.88648e10 − 2.36558e10i −0.395867 − 0.496401i
\(237\) −8.31124e8 + 7.26131e8i −0.0171119 + 0.0149502i
\(238\) −5.45665e10 + 3.96449e10i −1.10238 + 0.800923i
\(239\) −7.91650e10 + 3.81239e10i −1.56943 + 0.755799i −0.997900 − 0.0647798i \(-0.979366\pi\)
−0.571533 + 0.820579i \(0.693651\pi\)
\(240\) 8.58535e9 − 1.30063e10i 0.167035 − 0.253047i
\(241\) 6.02234e10 + 2.26022e10i 1.14998 + 0.431593i 0.852289 − 0.523071i \(-0.175214\pi\)
0.297686 + 0.954664i \(0.403785\pi\)
\(242\) −3.65172e10 + 2.18180e10i −0.684428 + 0.408927i
\(243\) −4.79306e10 − 2.30822e10i −0.881830 − 0.424667i
\(244\) −1.90829e10 + 3.46303e9i −0.344659 + 0.0625463i
\(245\) −1.83119e10 + 8.02298e10i −0.324703 + 1.42262i
\(246\) −1.65280e10 + 6.20305e9i −0.287748 + 0.107993i
\(247\) 5.14596e9 − 6.45282e9i 0.0879690 − 0.110310i
\(248\) −2.71718e9 − 6.05027e10i −0.0456127 − 1.01565i
\(249\) −1.59940e9 − 3.56134e10i −0.0263670 − 0.587106i
\(250\) −2.70309e9 + 3.38957e9i −0.0437654 + 0.0548801i
\(251\) 1.01031e11 − 3.79175e10i 1.60665 − 0.602987i 0.622865 − 0.782329i \(-0.285968\pi\)
0.983787 + 0.179343i \(0.0573971\pi\)
\(252\) −5.97567e9 + 2.61811e10i −0.0933434 + 0.408964i
\(253\) 2.07503e9 − 3.76562e8i 0.0318407 − 0.00577823i
\(254\) 5.60165e9 + 2.69761e9i 0.0844432 + 0.0406657i
\(255\) 4.04049e10 − 2.41408e10i 0.598417 − 0.357537i
\(256\) −5.90342e10 − 2.21559e10i −0.859061 − 0.322411i
\(257\) −4.03433e10 + 6.11174e10i −0.576862 + 0.873908i −0.999475 − 0.0324018i \(-0.989684\pi\)
0.422613 + 0.906310i \(0.361113\pi\)
\(258\) 3.05609e9 − 1.47173e9i 0.0429415 − 0.0206795i
\(259\) 1.51743e10 − 1.10248e10i 0.209537 − 0.152238i
\(260\) 3.68612e10 − 3.22047e10i 0.500253 − 0.437057i
\(261\) 5.16564e10 + 6.47751e10i 0.689036 + 0.864024i
\(262\) −8.65777e10 − 5.17278e10i −1.13514 − 0.678216i
\(263\) 4.46853e10 + 6.76953e10i 0.575922 + 0.872485i 0.999442 − 0.0334022i \(-0.0106342\pi\)
−0.423520 + 0.905887i \(0.639206\pi\)
\(264\) 6.26724e8 + 2.74586e9i 0.00794070 + 0.0347905i
\(265\) 6.85925e10 + 1.60480e11i 0.854417 + 1.99901i
\(266\) 9.84154e9 − 8.85755e8i 0.120530 − 0.0108479i
\(267\) −2.70756e10 − 1.96716e10i −0.326045 − 0.236885i
\(268\) −2.71532e10 − 4.92758e9i −0.321525 − 0.0583481i
\(269\) 5.11585e10 − 1.19691e11i 0.595707 − 1.39373i −0.302074 − 0.953285i \(-0.597679\pi\)
0.897781 − 0.440442i \(-0.145178\pi\)
\(270\) −2.31615e10 + 7.12839e10i −0.265235 + 0.816309i
\(271\) −1.34025e10 − 2.49061e10i −0.150947 − 0.280507i 0.793881 − 0.608073i \(-0.208057\pi\)
−0.944828 + 0.327566i \(0.893772\pi\)
\(272\) 3.82262e10 + 3.99814e10i 0.423449 + 0.442893i
\(273\) −3.51560e10 + 6.53309e10i −0.383061 + 0.711847i
\(274\) 2.90256e10 − 8.01055e9i 0.311102 − 0.0858588i
\(275\) 9.27166e8 + 6.84461e9i 0.00977598 + 0.0721692i
\(276\) −8.10823e8 + 5.98574e9i −0.00841076 + 0.0620907i
\(277\) 6.81728e10 + 1.88145e10i 0.695748 + 0.192014i 0.595983 − 0.802997i \(-0.296762\pi\)
0.0997646 + 0.995011i \(0.468191\pi\)
\(278\) −3.24183e10 + 3.39069e10i −0.325528 + 0.340476i
\(279\) 2.40173e10 + 7.39177e10i 0.237304 + 0.730347i
\(280\) 2.22045e11 + 1.99844e10i 2.15888 + 0.194303i
\(281\) −7.26095e10 − 6.34370e10i −0.694729 − 0.606966i 0.236400 − 0.971656i \(-0.424032\pi\)
−0.931129 + 0.364690i \(0.881175\pi\)
\(282\) −1.00997e9 + 2.24888e10i −0.00951019 + 0.211761i
\(283\) −6.13754e10 −0.568794 −0.284397 − 0.958707i \(-0.591793\pi\)
−0.284397 + 0.958707i \(0.591793\pi\)
\(284\) 3.37255e10 + 1.97701e10i 0.307628 + 0.180333i
\(285\) −6.89551e9 −0.0619105
\(286\) 4.23553e8 − 9.43113e9i 0.00374335 − 0.0833521i
\(287\) −1.12488e11 − 9.82774e10i −0.978669 − 0.855037i
\(288\) 6.44237e10 + 5.79824e9i 0.551797 + 0.0496626i
\(289\) 1.49791e10 + 4.61009e10i 0.126312 + 0.388749i
\(290\) 1.24942e11 − 1.30679e11i 1.03733 − 1.08496i
\(291\) −6.93349e10 − 1.91352e10i −0.566805 − 0.156428i
\(292\) −4.88819e9 + 3.60860e10i −0.0393482 + 0.290480i
\(293\) −1.62688e10 − 1.20101e11i −0.128959 − 0.952013i −0.933617 − 0.358274i \(-0.883365\pi\)
0.804658 − 0.593739i \(-0.202349\pi\)
\(294\) −4.38225e10 + 1.20943e10i −0.342085 + 0.0944096i
\(295\) 1.52753e11 − 2.83862e11i 1.17433 − 2.18227i
\(296\) −1.79728e10 − 1.87981e10i −0.136083 − 0.142331i
\(297\) −3.79655e9 − 7.05518e9i −0.0283130 − 0.0526143i
\(298\) 5.22794e10 − 1.60900e11i 0.384023 − 1.18190i
\(299\) 3.02735e10 − 7.08285e10i 0.219050 − 0.512493i
\(300\) −1.94656e10 − 3.53248e9i −0.138746 − 0.0251787i
\(301\) 2.32192e10 + 1.68697e10i 0.163041 + 0.118457i
\(302\) −5.28554e10 + 4.75707e9i −0.365644 + 0.0329085i
\(303\) −3.12687e9 − 7.31567e9i −0.0213117 − 0.0498611i
\(304\) −1.80327e9 − 7.90064e9i −0.0121096 − 0.0530556i
\(305\) −1.13830e11 − 1.72445e11i −0.753195 − 1.14104i
\(306\) −1.03029e11 − 6.15569e10i −0.671758 − 0.401356i
\(307\) −4.88018e10 − 6.11955e10i −0.313554 − 0.393185i 0.599934 − 0.800049i \(-0.295193\pi\)
−0.913488 + 0.406865i \(0.866622\pi\)
\(308\) −4.71730e9 + 4.12139e9i −0.0298687 + 0.0260955i
\(309\) 3.92843e10 − 2.85417e10i 0.245135 − 0.178101i
\(310\) 1.52809e11 − 7.35887e10i 0.939767 − 0.452568i
\(311\) −2.39934e10 + 3.63485e10i −0.145435 + 0.220325i −0.899988 − 0.435914i \(-0.856425\pi\)
0.754553 + 0.656239i \(0.227854\pi\)
\(312\) 9.63104e10 + 3.61459e10i 0.575410 + 0.215955i
\(313\) −1.80440e11 + 1.07808e11i −1.06264 + 0.634895i −0.934173 − 0.356820i \(-0.883861\pi\)
−0.128462 + 0.991714i \(0.541004\pi\)
\(314\) 2.06356e11 + 9.93758e10i 1.19794 + 0.576895i
\(315\) −2.81505e11 + 5.10856e10i −1.61097 + 0.292349i
\(316\) −7.57354e8 + 3.31818e9i −0.00427275 + 0.0187201i
\(317\) 2.42396e10 − 9.09729e9i 0.134822 − 0.0505994i −0.283052 − 0.959105i \(-0.591347\pi\)
0.417874 + 0.908505i \(0.362775\pi\)
\(318\) −6.01118e10 + 7.53778e10i −0.329638 + 0.413353i
\(319\) 8.67049e8 + 1.93063e10i 0.00468798 + 0.104386i
\(320\) −1.23797e10 − 2.75654e11i −0.0659984 − 1.46957i
\(321\) −4.48831e10 + 5.62816e10i −0.235945 + 0.295865i
\(322\) 8.63388e10 − 3.24035e10i 0.447564 − 0.167973i
\(323\) 5.44619e9 − 2.38613e10i 0.0278408 − 0.121979i
\(324\) −3.46243e10 + 6.28338e9i −0.174553 + 0.0316768i
\(325\) 2.27295e11 + 1.09459e11i 1.13009 + 0.544225i
\(326\) 1.04390e11 − 6.23704e10i 0.511896 − 0.305844i
\(327\) −5.75814e10 − 2.16107e10i −0.278495 − 0.104521i
\(328\) −1.14100e11 + 1.72854e11i −0.544318 + 0.824606i
\(329\) −1.71612e11 + 8.26439e10i −0.807543 + 0.388892i
\(330\) −6.38100e9 + 4.63607e9i −0.0296194 + 0.0215198i
\(331\) −1.96698e11 + 1.71850e11i −0.900686 + 0.786906i −0.977674 − 0.210126i \(-0.932613\pi\)
0.0769880 + 0.997032i \(0.475470\pi\)
\(332\) −6.85455e10 − 8.59533e10i −0.309640 − 0.388277i
\(333\) 2.86512e10 + 1.71183e10i 0.127686 + 0.0762889i
\(334\) −6.35777e10 − 9.63160e10i −0.279541 − 0.423486i
\(335\) −6.54236e10 − 2.86640e11i −0.283813 − 1.24347i
\(336\) 2.86296e10 + 6.69823e10i 0.122543 + 0.286704i
\(337\) 3.04604e11 − 2.74149e10i 1.28647 − 0.115785i 0.574800 − 0.818294i \(-0.305080\pi\)
0.711675 + 0.702509i \(0.247937\pi\)
\(338\) −1.23246e11 − 8.95435e10i −0.513627 − 0.373172i
\(339\) 1.24075e11 + 2.25163e10i 0.510253 + 0.0925973i
\(340\) 5.70478e10 − 1.33470e11i 0.231517 − 0.541662i
\(341\) −5.60230e9 + 1.72421e10i −0.0224374 + 0.0690551i
\(342\) 8.33200e9 + 1.54834e10i 0.0329330 + 0.0611998i
\(343\) −1.22776e10 − 1.28414e10i −0.0478951 − 0.0500944i
\(344\) 1.88579e10 − 3.50439e10i 0.0726074 − 0.134927i
\(345\) −6.20345e10 + 1.71204e10i −0.235748 + 0.0650622i
\(346\) 3.15181e10 + 2.32676e11i 0.118227 + 0.872789i
\(347\) 1.38363e10 − 1.02144e11i 0.0512315 − 0.378206i −0.947123 − 0.320870i \(-0.896025\pi\)
0.998355 − 0.0573367i \(-0.0182609\pi\)
\(348\) −5.33585e10 − 1.47260e10i −0.195028 − 0.0538243i
\(349\) 3.29402e11 − 3.44528e11i 1.18854 − 1.24311i 0.225348 − 0.974278i \(-0.427648\pi\)
0.963187 − 0.268832i \(-0.0866377\pi\)
\(350\) 9.33341e10 + 2.87253e11i 0.332456 + 1.02319i
\(351\) −2.91449e11 − 2.62309e10i −1.02490 − 0.0922424i
\(352\) 1.13626e10 + 9.92716e9i 0.0394488 + 0.0344654i
\(353\) 7.73996e9 − 1.72343e11i 0.0265309 − 0.590757i −0.941061 − 0.338237i \(-0.890169\pi\)
0.967592 − 0.252520i \(-0.0812592\pi\)
\(354\) 1.78076e11 0.602685
\(355\) −5.24610e10 + 4.13175e11i −0.175311 + 1.38072i
\(356\) −1.03209e11 −0.340560
\(357\) −9.87037e9 + 2.19781e11i −0.0321608 + 0.716115i
\(358\) −1.63865e11 − 1.43165e11i −0.527246 − 0.460641i
\(359\) −2.37083e11 − 2.13378e10i −0.753312 − 0.0677993i −0.293674 − 0.955906i \(-0.594878\pi\)
−0.459638 + 0.888106i \(0.652021\pi\)
\(360\) 1.22589e11 + 3.77290e11i 0.384671 + 1.18390i
\(361\) 2.20520e11 − 2.30645e11i 0.683384 − 0.714763i
\(362\) 1.03342e11 + 2.85205e10i 0.316291 + 0.0872909i
\(363\) −1.86252e10 + 1.37497e11i −0.0563018 + 0.415636i
\(364\) 3.07115e10 + 2.26721e11i 0.0916947 + 0.676918i
\(365\) −3.73986e11 + 1.03213e11i −1.10290 + 0.304382i
\(366\) 5.40902e10 − 1.00516e11i 0.157563 − 0.292801i
\(367\) 2.09470e11 + 2.19089e11i 0.602733 + 0.630409i 0.951811 − 0.306684i \(-0.0992196\pi\)
−0.349078 + 0.937094i \(0.613505\pi\)
\(368\) −3.58389e10 − 6.65998e10i −0.101868 − 0.189303i
\(369\) 8.21347e10 − 2.52785e11i 0.230626 − 0.709794i
\(370\) 2.86249e10 − 6.69713e10i 0.0794029 − 0.185772i
\(371\) −8.02653e11 − 1.45660e11i −2.19961 − 0.399170i
\(372\) −4.20095e10 − 3.05217e10i −0.113738 − 0.0826353i
\(373\) 6.09021e10 − 5.48128e9i 0.162908 − 0.0146620i −0.00788507 − 0.999969i \(-0.502510\pi\)
0.170793 + 0.985307i \(0.445367\pi\)
\(374\) −1.10029e10 − 2.57426e10i −0.0290794 − 0.0680346i
\(375\) 3.14674e9 + 1.37868e10i 0.00821714 + 0.0360016i
\(376\) 1.45497e11 + 2.20419e11i 0.375412 + 0.568726i
\(377\) 6.05947e11 + 3.62036e11i 1.54489 + 0.923031i
\(378\) −2.18435e11 − 2.73909e11i −0.550312 − 0.690069i
\(379\) −1.57895e11 + 1.37949e11i −0.393091 + 0.343433i −0.831681 − 0.555254i \(-0.812621\pi\)
0.438590 + 0.898687i \(0.355478\pi\)
\(380\) −1.72037e10 + 1.24992e10i −0.0423250 + 0.0307509i
\(381\) 1.82715e10 − 8.79911e9i 0.0444235 − 0.0213932i
\(382\) −1.55475e11 + 2.35535e11i −0.373573 + 0.565939i
\(383\) 4.49543e11 + 1.68716e11i 1.06752 + 0.400647i 0.822438 − 0.568855i \(-0.192613\pi\)
0.245083 + 0.969502i \(0.421185\pi\)
\(384\) 2.68169e10 − 1.60224e10i 0.0629388 − 0.0376042i
\(385\) −6.01277e10 − 2.89560e10i −0.139477 − 0.0671684i
\(386\) −1.83432e11 + 3.32880e10i −0.420565 + 0.0763212i
\(387\) −1.13641e10 + 4.97895e10i −0.0257536 + 0.112834i
\(388\) −2.07671e11 + 7.79401e10i −0.465192 + 0.174590i
\(389\) −1.57270e11 + 1.97211e11i −0.348236 + 0.436674i −0.924844 − 0.380347i \(-0.875805\pi\)
0.576608 + 0.817021i \(0.304376\pi\)
\(390\) 1.29247e10 + 2.87791e11i 0.0282898 + 0.629921i
\(391\) −1.02479e10 − 2.28187e11i −0.0221737 − 0.493737i
\(392\) −3.32542e11 + 4.16994e11i −0.711310 + 0.891955i
\(393\) −3.07989e11 + 1.15590e11i −0.651282 + 0.244430i
\(394\) 6.39749e10 − 2.80292e11i 0.133745 − 0.585974i
\(395\) −3.56779e10 + 6.47458e9i −0.0737415 + 0.0133821i
\(396\) −1.00425e10 − 4.83623e9i −0.0205218 − 0.00988278i
\(397\) 7.41833e11 − 4.43225e11i 1.49882 − 0.895502i 0.499240 − 0.866464i \(-0.333613\pi\)
0.999578 − 0.0290383i \(-0.00924448\pi\)
\(398\) −1.25577e11 − 4.71298e10i −0.250862 − 0.0941502i
\(399\) 1.77560e10 − 2.68991e10i 0.0350725 − 0.0531325i
\(400\) 2.23174e11 − 1.07475e11i 0.435886 − 0.209912i
\(401\) −3.23799e11 + 2.35254e11i −0.625353 + 0.454346i −0.854787 − 0.518978i \(-0.826312\pi\)
0.229434 + 0.973324i \(0.426312\pi\)
\(402\) 1.22313e11 − 1.06862e11i 0.233591 − 0.204083i
\(403\) 4.12854e11 + 5.17702e11i 0.779693 + 0.977704i
\(404\) −2.10621e10 − 1.25840e10i −0.0393356 − 0.0235019i
\(405\) −2.06535e11 − 3.12887e11i −0.381458 − 0.577884i
\(406\) 1.88048e11 + 8.23893e11i 0.343481 + 1.50489i
\(407\) 3.05978e9 + 7.15872e9i 0.00552734 + 0.0129318i
\(408\) 3.03824e11 − 2.73446e10i 0.542814 − 0.0488541i
\(409\) −3.42437e11 − 2.48795e11i −0.605098 − 0.439629i 0.242587 − 0.970130i \(-0.422004\pi\)
−0.847685 + 0.530500i \(0.822004\pi\)
\(410\) −5.70695e11 − 1.03566e11i −0.997418 − 0.181005i
\(411\) 3.86011e10 − 9.03118e10i 0.0667285 − 0.156119i
\(412\) 4.62746e10 − 1.42418e11i 0.0791234 − 0.243517i
\(413\) 7.13996e11 + 1.32683e12i 1.20759 + 2.24409i
\(414\) 1.13400e11 + 1.18608e11i 0.189720 + 0.198432i
\(415\) 5.55027e11 − 1.03141e12i 0.918540 − 1.70693i
\(416\) 5.31230e11 − 1.46610e11i 0.869687 − 0.240018i
\(417\) 2.05396e10 + 1.51629e11i 0.0332644 + 0.245568i
\(418\) −5.50546e8 + 4.06429e9i −0.000882064 + 0.00651166i
\(419\) 1.01836e12 + 2.81050e11i 1.61413 + 0.445471i 0.952545 − 0.304399i \(-0.0984555\pi\)
0.661585 + 0.749870i \(0.269884\pi\)
\(420\) 1.32095e11 − 1.38161e11i 0.207141 − 0.216652i
\(421\) −3.20825e11 − 9.87397e11i −0.497735 − 1.53187i −0.812650 − 0.582752i \(-0.801976\pi\)
0.314915 − 0.949120i \(-0.398024\pi\)
\(422\) −4.99433e11 − 4.49498e10i −0.766605 − 0.0689957i
\(423\) −2.55240e11 − 2.22997e11i −0.387630 − 0.338663i
\(424\) −5.07477e10 + 1.12998e12i −0.0762552 + 1.69795i
\(425\) 7.48110e11 1.11228
\(426\) −2.14728e11 + 8.26394e10i −0.315896 + 0.121575i
\(427\) 9.65814e11 1.40594
\(428\) −9.95998e9 + 2.21776e11i −0.0143470 + 0.319461i
\(429\) −2.31898e10 − 2.02603e10i −0.0330551 − 0.0288794i
\(430\) 1.10997e11 + 9.98988e9i 0.156568 + 0.0140913i
\(431\) 1.07397e11 + 3.30534e11i 0.149915 + 0.461391i 0.997610 − 0.0690927i \(-0.0220104\pi\)
−0.847695 + 0.530483i \(0.822010\pi\)
\(432\) −1.98557e11 + 2.07674e11i −0.274289 + 0.286884i
\(433\) −8.10668e11 − 2.23730e11i −1.10828 − 0.305865i −0.336451 − 0.941701i \(-0.609227\pi\)
−0.771824 + 0.635836i \(0.780655\pi\)
\(434\) −1.06416e11 + 7.85592e11i −0.143980 + 1.06290i
\(435\) −7.91608e10 − 5.84389e11i −0.106001 − 0.782528i
\(436\) −1.82834e11 + 5.04589e10i −0.242308 + 0.0668726i
\(437\) −1.58574e10 + 2.94681e10i −0.0208002 + 0.0386532i
\(438\) −1.48111e11 − 1.54911e11i −0.192288 − 0.201118i
\(439\) −1.73448e11 − 3.22320e11i −0.222884 − 0.414188i 0.744456 − 0.667672i \(-0.232709\pi\)
−0.967339 + 0.253484i \(0.918423\pi\)
\(440\) −2.85952e10 + 8.80070e10i −0.0363711 + 0.111939i
\(441\) 2.69009e11 − 6.29378e11i 0.338683 − 0.792388i
\(442\) −1.00608e12 − 1.82577e11i −1.25382 − 0.227534i
\(443\) 1.08581e12 + 7.88890e11i 1.33949 + 0.973194i 0.999463 + 0.0327775i \(0.0104353\pi\)
0.340024 + 0.940417i \(0.389565\pi\)
\(444\) −2.22088e10 + 1.99882e9i −0.0271207 + 0.00244091i
\(445\) −4.32161e11 − 1.01109e12i −0.522427 − 1.22228i
\(446\) −3.47355e10 − 1.52186e11i −0.0415687 − 0.182124i
\(447\) −3.04003e11 − 4.60545e11i −0.360159 − 0.545617i
\(448\) 1.10719e12 + 6.61518e11i 1.29859 + 0.775873i
\(449\) −7.06386e11 − 8.85780e11i −0.820226 − 1.02853i −0.999003 − 0.0446410i \(-0.985786\pi\)
0.178777 − 0.983890i \(-0.442786\pi\)
\(450\) −4.04735e11 + 3.53606e11i −0.465280 + 0.406503i
\(451\) 5.01585e10 − 3.64423e10i 0.0570887 − 0.0414773i
\(452\) 3.50372e11 − 1.68730e11i 0.394826 − 0.190138i
\(453\) −9.53609e10 + 1.44466e11i −0.106397 + 0.161184i
\(454\) −1.12197e12 − 4.21082e11i −1.23945 − 0.465174i
\(455\) −2.09248e12 + 1.25020e12i −2.28881 + 1.36750i
\(456\) −4.02652e10 − 1.93907e10i −0.0436102 − 0.0210016i
\(457\) −4.75554e11 + 8.63002e10i −0.510007 + 0.0925527i −0.427460 − 0.904034i \(-0.640591\pi\)
−0.0825477 + 0.996587i \(0.526306\pi\)
\(458\) 2.67940e11 − 1.17392e12i 0.284540 − 1.24665i
\(459\) −8.12427e11 + 3.04909e11i −0.854333 + 0.320637i
\(460\) −1.23737e11 + 1.55162e11i −0.128852 + 0.161575i
\(461\) 7.12950e10 + 1.58751e12i 0.0735199 + 1.63705i 0.609479 + 0.792803i \(0.291379\pi\)
−0.535959 + 0.844244i \(0.680050\pi\)
\(462\) −1.65403e9 − 3.68299e10i −0.00168910 − 0.0376108i
\(463\) 1.22276e11 − 1.53329e11i 0.123659 − 0.155064i −0.716148 − 0.697948i \(-0.754096\pi\)
0.839807 + 0.542885i \(0.182668\pi\)
\(464\) 6.48871e11 − 2.43525e11i 0.649871 − 0.243901i
\(465\) 1.23103e11 − 5.39348e11i 0.122104 − 0.534972i
\(466\) 7.40858e11 − 1.34446e11i 0.727777 − 0.132072i
\(467\) −1.06696e11 − 5.13823e10i −0.103806 − 0.0499905i 0.381260 − 0.924468i \(-0.375490\pi\)
−0.485066 + 0.874477i \(0.661205\pi\)
\(468\) −3.49487e11 + 2.08809e11i −0.336763 + 0.201207i
\(469\) 1.28664e12 + 4.82883e11i 1.22794 + 0.460854i
\(470\) −4.07455e11 + 6.17268e11i −0.385158 + 0.583490i
\(471\) 6.73094e11 − 3.24145e11i 0.630205 − 0.303491i
\(472\) 1.69022e12 − 1.22801e12i 1.56748 − 1.13884i
\(473\) −8.97107e9 + 7.83779e9i −0.00824079 + 0.00719977i
\(474\) −1.24893e10 − 1.56611e10i −0.0113641 − 0.0142502i
\(475\) −9.40863e10 − 5.62139e10i −0.0848018 − 0.0506667i
\(476\) 3.73763e11 + 5.66227e11i 0.333707 + 0.505544i
\(477\) −3.23006e11 − 1.41518e12i −0.285679 − 1.25164i
\(478\) −6.26792e11 − 1.46645e12i −0.549158 − 1.28482i
\(479\) −1.99883e12 + 1.79898e11i −1.73487 + 0.156141i −0.911482 − 0.411339i \(-0.865061\pi\)
−0.823387 + 0.567480i \(0.807918\pi\)
\(480\) −3.72486e11 − 2.70627e11i −0.320276 − 0.232694i
\(481\) 2.79780e11 + 5.07726e10i 0.238322 + 0.0432491i
\(482\) −4.58860e11 + 1.07356e12i −0.387230 + 0.905969i
\(483\) 9.29528e10 − 2.86079e11i 0.0777142 − 0.239180i
\(484\) 2.02767e11 + 3.76805e11i 0.167955 + 0.312114i
\(485\) −1.63311e12 − 1.70810e12i −1.34022 − 1.40176i
\(486\) 4.57553e11 − 8.50275e11i 0.372030 − 0.691347i
\(487\) 2.02859e12 − 5.59856e11i 1.63424 − 0.451020i 0.675977 − 0.736923i \(-0.263722\pi\)
0.958259 + 0.285903i \(0.0922935\pi\)
\(488\) −1.79763e11 − 1.32706e12i −0.143486 − 1.05926i
\(489\) 5.32434e10 − 3.93058e11i 0.0421091 − 0.310862i
\(490\) −1.43980e12 − 3.97360e11i −1.12829 − 0.311388i
\(491\) −7.96363e11 + 8.32930e11i −0.618364 + 0.646758i −0.955602 − 0.294661i \(-0.904793\pi\)
0.337238 + 0.941420i \(0.390507\pi\)
\(492\) 5.48750e10 + 1.68888e11i 0.0422213 + 0.129944i
\(493\) 2.08475e12 + 1.87631e11i 1.58943 + 0.143052i
\(494\) 1.12811e11 + 9.85602e10i 0.0852278 + 0.0744613i
\(495\) 5.32779e9 − 1.18632e11i 0.00398863 − 0.0888137i
\(496\) 6.50160e11 0.482339
\(497\) −1.47669e12 − 1.26857e12i −1.08564 − 0.932636i
\(498\) 6.47039e11 0.471410
\(499\) 7.36918e9 − 1.64087e11i 0.00532067 − 0.118474i −0.994575 − 0.104023i \(-0.966828\pi\)
0.999896 − 0.0144511i \(-0.00460009\pi\)
\(500\) 3.28417e10 + 2.86929e10i 0.0234996 + 0.0205310i
\(501\) −3.74922e11 − 3.37436e10i −0.265871 − 0.0239288i
\(502\) 6.05244e11 + 1.86275e12i 0.425367 + 1.30915i
\(503\) 1.22842e12 − 1.28482e12i 0.855638 − 0.894927i −0.139815 − 0.990178i \(-0.544651\pi\)
0.995453 + 0.0952505i \(0.0303652\pi\)
\(504\) −1.78746e12 − 4.93307e11i −1.23395 − 0.340550i
\(505\) 3.50877e10 − 2.59028e11i 0.0240073 − 0.177229i
\(506\) 5.13807e9 + 3.79307e10i 0.00348436 + 0.0257226i
\(507\) −4.78999e11 + 1.32195e11i −0.321958 + 0.0888547i
\(508\) 2.96362e10 − 5.50732e10i 0.0197440 − 0.0366905i
\(509\) 7.45337e11 + 7.79562e11i 0.492179 + 0.514779i 0.921503 − 0.388372i \(-0.126962\pi\)
−0.429324 + 0.903151i \(0.641248\pi\)
\(510\) 4.04816e11 + 7.52274e11i 0.264967 + 0.492391i
\(511\) 5.60382e11 − 1.72468e12i 0.363572 − 1.11896i
\(512\) 5.55980e11 − 1.30078e12i 0.357556 − 0.836545i
\(513\) 1.25086e11 + 2.26998e10i 0.0797411 + 0.0144709i
\(514\) −1.07532e12 − 7.81266e11i −0.679522 − 0.493702i
\(515\) 1.58897e12 − 1.43010e11i 0.995365 − 0.0895845i
\(516\) −1.34102e10 − 3.13746e10i −0.00832742 − 0.0194830i
\(517\) −1.75925e10 − 7.70776e10i −0.0108298 − 0.0474483i
\(518\) 1.87543e11 + 2.84116e11i 0.114451 + 0.173385i
\(519\) 6.57466e11 + 3.92818e11i 0.397759 + 0.237650i
\(520\) 2.10728e12 + 2.64245e12i 1.26389 + 1.58486i
\(521\) −1.43371e12 + 1.25260e12i −0.852496 + 0.744803i −0.968650 − 0.248428i \(-0.920086\pi\)
0.116155 + 0.993231i \(0.462943\pi\)
\(522\) −1.21656e12 + 8.83880e11i −0.717158 + 0.521046i
\(523\) 1.80485e12 − 8.69171e11i 1.05483 − 0.507981i 0.175644 − 0.984454i \(-0.443799\pi\)
0.879189 + 0.476473i \(0.158085\pi\)
\(524\) −5.58881e11 + 8.46669e11i −0.323839 + 0.490595i
\(525\) 9.22363e11 + 3.46169e11i 0.529889 + 0.198871i
\(526\) −1.26383e12 + 7.55102e11i −0.719867 + 0.430100i
\(527\) 1.76914e12 + 8.51973e11i 0.999113 + 0.481147i
\(528\) −2.97494e10 + 5.39871e9i −0.0166581 + 0.00302300i
\(529\) 3.31299e11 − 1.45152e12i 0.183937 − 0.805883i
\(530\) −2.96565e12 + 1.11303e12i −1.63260 + 0.612724i
\(531\) −1.67164e12 + 2.09617e12i −0.912469 + 1.14420i
\(532\) −4.45942e9 − 9.92967e10i −0.00241366 − 0.0537443i
\(533\) −1.01596e11 − 2.26220e12i −0.0545259 − 1.21411i
\(534\) 3.78730e11 − 4.74912e11i 0.201555 − 0.252742i
\(535\) −2.21434e12 + 8.31055e11i −1.16856 + 0.438569i
\(536\) 4.24022e11 − 1.85776e12i 0.221895 − 0.972184i
\(537\) −6.98350e11 + 1.26732e11i −0.362401 + 0.0657660i
\(538\) 2.12857e12 + 1.02506e12i 1.09539 + 0.527510i
\(539\) 1.37058e11 − 8.18882e10i 0.0699446 − 0.0417899i
\(540\) 7.05875e11 + 2.64919e11i 0.357236 + 0.134073i
\(541\) −8.81885e11 + 1.33600e12i −0.442613 + 0.670530i −0.985577 − 0.169226i \(-0.945873\pi\)
0.542964 + 0.839756i \(0.317302\pi\)
\(542\) 4.62507e11 − 2.22732e11i 0.230209 − 0.110863i
\(543\) 2.82899e11 − 2.05538e11i 0.139647 − 0.101460i
\(544\) 1.23068e12 − 1.07521e12i 0.602489 − 0.526379i
\(545\) −1.25989e12 − 1.57985e12i −0.611713 − 0.767064i
\(546\) −1.15594e12 − 6.90643e11i −0.556633 − 0.332573i
\(547\) −5.79540e11 − 8.77965e11i −0.276784 − 0.419309i 0.669418 − 0.742886i \(-0.266543\pi\)
−0.946202 + 0.323576i \(0.895115\pi\)
\(548\) −6.73983e10 − 2.95291e11i −0.0319254 − 0.139874i
\(549\) 6.75445e11 + 1.58028e12i 0.317332 + 0.742436i
\(550\) −1.24860e11 + 1.12376e10i −0.0581825 + 0.00523652i
\(551\) −2.48090e11 − 1.80248e11i −0.114664 − 0.0833084i
\(552\) −4.10384e11 − 7.44737e10i −0.188133 − 0.0341411i
\(553\) 6.66135e10 − 1.55850e11i 0.0302900 − 0.0708670i
\(554\) −3.96654e11 + 1.22078e12i −0.178903 + 0.550608i
\(555\) −1.12575e11 − 2.09199e11i −0.0503643 − 0.0935925i
\(556\) 3.26098e11 + 3.41071e11i 0.144714 + 0.151359i
\(557\) 1.29331e12 − 2.40338e12i 0.569318 − 1.05797i −0.419346 − 0.907826i \(-0.637741\pi\)
0.988664 − 0.150143i \(-0.0479736\pi\)
\(558\) −1.35982e12 + 3.75287e11i −0.593783 + 0.163874i
\(559\) 5.84051e10 + 4.31164e11i 0.0252987 + 0.186762i
\(560\) −3.21263e11 + 2.37166e12i −0.138043 + 1.01907i
\(561\) −8.80250e10 − 2.42934e10i −0.0375209 − 0.0103551i
\(562\) 1.20936e12 − 1.26489e12i 0.511377 − 0.534858i
\(563\) −6.46251e11 − 1.98896e12i −0.271090 − 0.834330i −0.990227 − 0.139462i \(-0.955463\pi\)
0.719137 − 0.694868i \(-0.244537\pi\)
\(564\) 2.25533e11 + 2.02983e10i 0.0938542 + 0.00844703i
\(565\) 3.12005e12 + 2.72591e12i 1.28808 + 1.12537i
\(566\) 4.99781e10 − 1.11285e12i 0.0204694 − 0.455787i
\(567\) 1.75239e12 0.712045
\(568\) −1.46822e12 + 2.26514e12i −0.591865 + 0.913120i
\(569\) 1.13715e12 0.454793 0.227397 − 0.973802i \(-0.426979\pi\)
0.227397 + 0.973802i \(0.426979\pi\)
\(570\) 5.61503e9 − 1.25028e11i 0.00222800 − 0.0496103i
\(571\) 3.37710e12 + 2.95049e12i 1.32948 + 1.16153i 0.973923 + 0.226877i \(0.0728515\pi\)
0.355556 + 0.934655i \(0.384291\pi\)
\(572\) −9.45817e10 − 8.51251e9i −0.0369424 − 0.00332488i
\(573\) 2.84467e11 + 8.75499e11i 0.110239 + 0.339281i
\(574\) 1.87355e12 − 1.95958e12i 0.720380 − 0.753458i
\(575\) −9.86004e11 − 2.72120e11i −0.376161 − 0.103814i
\(576\) −3.08068e11 + 2.27425e12i −0.116612 + 0.860867i
\(577\) −5.29834e11 − 3.91139e12i −0.198998 − 1.46906i −0.764664 − 0.644429i \(-0.777095\pi\)
0.565666 − 0.824634i \(-0.308619\pi\)
\(578\) −8.48092e11 + 2.34058e11i −0.316059 + 0.0872266i
\(579\) −2.88156e11 + 5.35484e11i −0.106555 + 0.198013i
\(580\) −1.25680e12 − 1.31451e12i −0.461148 − 0.482323i
\(581\) 2.59431e12 + 4.82103e12i 0.944559 + 1.75529i
\(582\) 4.03417e11 − 1.24159e12i 0.145747 − 0.448564i
\(583\) 1.33077e11 − 3.11349e11i 0.0477083 − 0.111619i
\(584\) −2.47407e12 − 4.48978e11i −0.880145 − 0.159723i
\(585\) −3.50898e12 − 2.54942e12i −1.23874 − 0.899996i
\(586\) 2.19090e12 − 1.97185e11i 0.767509 − 0.0690771i
\(587\) 2.02106e12 + 4.72850e12i 0.702598 + 1.64381i 0.763613 + 0.645674i \(0.223423\pi\)
−0.0610148 + 0.998137i \(0.519434\pi\)
\(588\) 1.01757e11 + 4.45828e11i 0.0351049 + 0.153805i
\(589\) −1.58478e11 − 2.40084e11i −0.0542564 − 0.0821949i
\(590\) 5.02255e12 + 3.00084e12i 1.70644 + 1.01955i
\(591\) −5.84692e11 − 7.33180e11i −0.197144 − 0.247211i
\(592\) 2.10253e11 − 1.83693e11i 0.0703550 − 0.0614673i
\(593\) 6.91500e11 − 5.02404e11i 0.229639 − 0.166843i −0.467016 − 0.884249i \(-0.654671\pi\)
0.696655 + 0.717406i \(0.254671\pi\)
\(594\) 1.31015e11 − 6.30935e10i 0.0431799 − 0.0207943i
\(595\) −3.98202e12 + 6.03250e12i −1.30250 + 1.97320i
\(596\) −1.59328e12 − 5.97966e11i −0.517229 − 0.194119i
\(597\) −3.75576e11 + 2.24396e11i −0.121008 + 0.0722988i
\(598\) 1.25960e12 + 6.06591e11i 0.402788 + 0.193973i
\(599\) −2.03468e12 + 3.69240e11i −0.645767 + 0.117189i −0.491553 − 0.870848i \(-0.663570\pi\)
−0.154215 + 0.988037i \(0.549285\pi\)
\(600\) 3.03972e11 − 1.33179e12i 0.0957533 − 0.419523i
\(601\) −3.78313e12 + 1.41983e12i −1.18281 + 0.443917i −0.863801 − 0.503834i \(-0.831923\pi\)
−0.319012 + 0.947751i \(0.603351\pi\)
\(602\) −3.24787e11 + 4.07270e11i −0.100789 + 0.126386i
\(603\) 1.09712e11 + 2.44292e12i 0.0337929 + 0.752457i
\(604\) 2.39500e10 + 5.33287e11i 0.00732215 + 0.163040i
\(605\) −2.84234e12 + 3.56419e12i −0.862536 + 1.08159i
\(606\) 1.35193e11 − 5.07387e10i 0.0407218 − 0.0152831i
\(607\) −6.20442e11 + 2.71834e12i −0.185504 + 0.812744i 0.793446 + 0.608641i \(0.208285\pi\)
−0.978949 + 0.204103i \(0.934572\pi\)
\(608\) −2.35569e11 + 4.27495e10i −0.0699121 + 0.0126872i
\(609\) 2.48352e12 + 1.19600e12i 0.731626 + 0.352333i
\(610\) 3.21944e12 − 1.92353e12i 0.941447 − 0.562489i
\(611\) −2.70348e12 − 1.01463e12i −0.784762 − 0.294526i
\(612\) −6.65078e11 + 1.00755e12i −0.191642 + 0.290325i
\(613\) −4.01907e12 + 1.93548e12i −1.14962 + 0.553626i −0.908918 − 0.416974i \(-0.863091\pi\)
−0.240698 + 0.970600i \(0.577376\pi\)
\(614\) 1.14933e12 − 8.35034e11i 0.326352 − 0.237108i
\(615\) −1.42474e12 + 1.24476e12i −0.401603 + 0.350870i
\(616\) −2.69679e11 − 3.38167e11i −0.0754631 − 0.0946277i
\(617\) −3.60981e12 − 2.15676e12i −1.00277 − 0.599127i −0.0850592 − 0.996376i \(-0.527108\pi\)
−0.917711 + 0.397249i \(0.869965\pi\)
\(618\) 4.85525e11 + 7.35538e11i 0.133895 + 0.202842i
\(619\) −2.53398e11 − 1.11021e12i −0.0693738 − 0.303946i 0.928323 − 0.371774i \(-0.121250\pi\)
−0.997697 + 0.0678277i \(0.978393\pi\)
\(620\) −6.70526e11 − 1.56877e12i −0.182244 − 0.426381i
\(621\) 1.18168e12 − 1.06353e11i 0.318852 − 0.0286972i
\(622\) −6.39527e11 − 4.64643e11i −0.171318 − 0.124470i
\(623\) 5.05705e12 + 9.17719e11i 1.34493 + 0.244070i
\(624\) −4.34027e11 + 1.01546e12i −0.114600 + 0.268121i
\(625\) −1.24826e12 + 3.84176e12i −0.327225 + 1.00709i
\(626\) −1.80783e12 − 3.35950e12i −0.470514 − 0.874361i
\(627\) 9.24506e9 + 9.66957e9i 0.00238894 + 0.00249864i
\(628\) 1.09175e12 − 2.02881e12i 0.280094 − 0.520502i
\(629\) 8.12829e11 − 2.24326e11i 0.207048 − 0.0571416i
\(630\) −6.97047e11 − 5.14581e12i −0.176291 − 1.30143i
\(631\) 1.42696e10 − 1.05342e11i 0.00358327 − 0.0264527i −0.989070 − 0.147448i \(-0.952894\pi\)
0.992653 + 0.120995i \(0.0386085\pi\)
\(632\) −2.26542e11 − 6.25216e10i −0.0564836 − 0.0155885i
\(633\) −1.13033e12 + 1.18223e12i −0.279827 + 0.292676i
\(634\) 1.45212e11 + 4.46917e11i 0.0356945 + 0.109856i
\(635\) 6.63619e11 + 5.97268e10i 0.161971 + 0.0145777i
\(636\) 7.30338e11 + 6.38077e11i 0.176997 + 0.154638i
\(637\) 2.61624e11 − 5.82551e12i 0.0629579 − 1.40187i
\(638\) −3.50766e11 −0.0838154
\(639\) 1.04293e12 − 3.30337e12i 0.247459 − 0.783796i
\(640\) 1.02636e12 0.241819
\(641\) 2.80703e11 − 6.25033e12i 0.0656728 − 1.46232i −0.647894 − 0.761731i \(-0.724350\pi\)
0.713566 − 0.700588i \(-0.247079\pi\)
\(642\) −9.83942e11 − 8.59644e11i −0.228592 − 0.199715i
\(643\) −4.34506e12 − 3.91063e11i −1.00241 − 0.0902188i −0.423745 − 0.905782i \(-0.639285\pi\)
−0.578669 + 0.815563i \(0.696427\pi\)
\(644\) −2.86656e11 − 8.82237e11i −0.0656712 − 0.202115i
\(645\) 2.51211e11 − 2.62746e11i 0.0571504 − 0.0597746i
\(646\) 4.28215e11 + 1.18180e11i 0.0967421 + 0.0266991i
\(647\) −1.92356e10 + 1.42003e11i −0.00431555 + 0.0318587i −0.992979 − 0.118287i \(-0.962260\pi\)
0.988664 + 0.150145i \(0.0479741\pi\)
\(648\) −3.26165e11 − 2.40785e12i −0.0726691 − 0.536465i
\(649\) −6.02861e11 + 1.66379e11i −0.133388 + 0.0368127i
\(650\) −2.16979e12 + 4.03214e12i −0.476768 + 0.885984i
\(651\) 1.78699e12 + 1.86904e12i 0.389948 + 0.407854i
\(652\) −5.79645e11 − 1.07716e12i −0.125617 − 0.233435i
\(653\) −6.04407e11 + 1.86017e12i −0.130083 + 0.400354i −0.994793 − 0.101918i \(-0.967502\pi\)
0.864710 + 0.502271i \(0.167502\pi\)
\(654\) 4.38730e11 − 1.02646e12i 0.0937772 − 0.219403i
\(655\) −1.06346e13 − 1.92989e12i −2.25753 − 0.409682i
\(656\) −1.79879e12 − 1.30690e12i −0.379239 − 0.275533i
\(657\) 3.21385e12 − 2.89252e11i 0.672949 − 0.0605665i
\(658\) −1.35874e12 − 3.17893e12i −0.282566 − 0.661097i
\(659\) 1.59614e12 + 6.99314e12i 0.329675 + 1.44440i 0.819750 + 0.572721i \(0.194112\pi\)
−0.490075 + 0.871680i \(0.663031\pi\)
\(660\) 4.37078e10 + 6.62145e10i 0.00896626 + 0.0135833i
\(661\) 6.04960e12 + 3.61447e12i 1.23259 + 0.736441i 0.973340 − 0.229368i \(-0.0736658\pi\)
0.259255 + 0.965809i \(0.416523\pi\)
\(662\) −2.95578e12 − 3.70643e12i −0.598151 − 0.750058i
\(663\) −2.51168e12 + 2.19439e12i −0.504840 + 0.441066i
\(664\) 6.14141e12 − 4.46199e12i 1.22606 − 0.890784i
\(665\) 9.54089e11 − 4.59465e11i 0.189187 − 0.0911077i
\(666\) −3.33717e11 + 5.05559e11i −0.0657270 + 0.0995722i
\(667\) −2.67944e12 − 1.00561e12i −0.524176 − 0.196727i
\(668\) −9.96566e11 + 5.95420e11i −0.193648 + 0.115699i
\(669\) −4.58745e11 − 2.20920e11i −0.0885428 − 0.0426400i
\(670\) 5.25058e12 − 9.52840e11i 1.00663 − 0.182677i
\(671\) −8.92037e10 + 3.90827e11i −0.0169876 + 0.0744275i
\(672\) 2.01486e12 − 7.56189e11i 0.381138 − 0.143044i
\(673\) 2.56468e10 − 3.21601e10i 0.00481909 − 0.00604295i −0.779416 − 0.626507i \(-0.784484\pi\)
0.784235 + 0.620464i \(0.213056\pi\)
\(674\) 2.49042e11 + 5.54536e12i 0.0464840 + 1.03505i
\(675\) 1.74339e11 + 3.88197e12i 0.0323243 + 0.719755i
\(676\) −9.55438e11 + 1.19808e12i −0.175971 + 0.220661i
\(677\) 7.84367e12 − 2.94378e12i 1.43506 − 0.538588i 0.491820 − 0.870697i \(-0.336332\pi\)
0.943241 + 0.332109i \(0.107760\pi\)
\(678\) −5.09297e11 + 2.23137e12i −0.0925630 + 0.405545i
\(679\) 1.08685e13 − 1.97234e12i 1.96225 − 0.356096i
\(680\) 9.03002e12 + 4.34863e12i 1.61957 + 0.779942i
\(681\) −3.35559e12 + 2.00487e12i −0.597871 + 0.357211i
\(682\) −3.08069e11 − 1.15620e11i −0.0545279 − 0.0204647i
\(683\) 1.83914e12 − 2.78618e12i 0.323386 − 0.489909i −0.636123 − 0.771588i \(-0.719463\pi\)
0.959509 + 0.281679i \(0.0908913\pi\)
\(684\) 1.59352e11 − 7.67400e10i 0.0278359 − 0.0134051i
\(685\) 2.61061e12 − 1.89672e12i 0.453038 − 0.329152i
\(686\) 2.42836e11 − 2.12159e11i 0.0418653 − 0.0365766i
\(687\) −2.44881e12 − 3.07071e12i −0.419421 − 0.525937i
\(688\) 3.66740e11 + 2.19117e11i 0.0624037 + 0.0372845i
\(689\) −6.81295e12 − 1.03212e13i −1.15172 − 1.74479i
\(690\) −2.59910e11 − 1.13874e12i −0.0436518 − 0.191251i
\(691\) 3.28907e12 + 7.69516e12i 0.548810 + 1.28400i 0.932709 + 0.360629i \(0.117438\pi\)
−0.383900 + 0.923375i \(0.625419\pi\)
\(692\) 2.35237e12 − 2.11717e11i 0.389967 − 0.0350977i
\(693\) 4.49061e11 + 3.26262e11i 0.0739616 + 0.0537362i
\(694\) 1.84079e12 + 3.34053e11i 0.301221 + 0.0546636i
\(695\) −1.97587e12 + 4.62277e12i −0.321237 + 0.751572i
\(696\) 1.18110e12 − 3.63505e12i 0.190785 − 0.587176i
\(697\) −3.18209e12 − 5.91332e12i −0.510699 − 0.949039i
\(698\) 5.97869e12 + 6.25322e12i 0.953359 + 0.997136i
\(699\) 1.16383e12 − 2.16275e12i 0.184391 − 0.342657i
\(700\) 2.92871e12 − 8.08272e11i 0.461036 − 0.127238i
\(701\) −1.06921e12 − 7.89322e12i −0.167237 − 1.23459i −0.858813 − 0.512288i \(-0.828798\pi\)
0.691577 − 0.722303i \(-0.256916\pi\)
\(702\) 7.12941e11 − 5.26315e12i 0.110799 − 0.817953i
\(703\) −1.19082e11 − 3.28645e10i −0.0183885 − 0.00507491i
\(704\) −3.69952e11 + 3.86940e11i −0.0567634 + 0.0593699i
\(705\) 7.45505e11 + 2.29443e12i 0.113658 + 0.349803i
\(706\) 3.11860e12 + 2.80679e11i 0.472432 + 0.0425196i
\(707\) 9.20107e11 + 8.03873e11i 0.138500 + 0.121004i
\(708\) 8.03653e10 − 1.78947e12i 0.0120204 − 0.267655i
\(709\) 2.10684e12 0.313129 0.156565 − 0.987668i \(-0.449958\pi\)
0.156565 + 0.987668i \(0.449958\pi\)
\(710\) −7.44890e12 − 1.28766e12i −1.10009 − 0.190169i
\(711\) 3.01591e11 0.0442594
\(712\) 3.19732e11 − 7.11938e12i 0.0466257 − 1.03820i
\(713\) −2.02182e12 − 1.76641e12i −0.292980 − 0.255969i
\(714\) −3.97699e12 − 3.57936e11i −0.572681 − 0.0515422i
\(715\) −3.12643e11 − 9.62215e11i −0.0447374 − 0.137688i
\(716\) −1.51260e12 + 1.58206e12i −0.215088 + 0.224965i
\(717\) −5.01444e12 − 1.38390e12i −0.708575 − 0.195554i
\(718\) 5.79951e11 − 4.28137e12i 0.0814388 − 0.601206i
\(719\) −1.73651e12 − 1.28195e13i −0.242325 − 1.78891i −0.547692 − 0.836680i \(-0.684494\pi\)
0.305367 − 0.952235i \(-0.401221\pi\)
\(720\) −4.10522e12 + 1.13297e12i −0.569299 + 0.157117i
\(721\) −3.53372e12 + 6.56675e12i −0.486994 + 0.904986i
\(722\) 4.00246e12 + 4.18624e12i 0.548162 + 0.573333i
\(723\) 1.80458e12 + 3.35348e12i 0.245615 + 0.456429i
\(724\) 3.33239e11 − 1.02560e12i 0.0450746 − 0.138725i
\(725\) 3.68397e12 − 8.61907e12i 0.495216 − 1.15862i
\(726\) −2.47791e12 − 4.49674e11i −0.331032 − 0.0600735i
\(727\) 9.10189e12 + 6.61291e12i 1.20844 + 0.877987i 0.995089 − 0.0989879i \(-0.0315605\pi\)
0.213356 + 0.976974i \(0.431561\pi\)
\(728\) −1.57344e13 + 1.41612e12i −2.07615 + 0.186857i
\(729\) 2.53214e11 + 5.92423e11i 0.0332058 + 0.0776887i
\(730\) −1.56691e12 − 6.86509e12i −0.204217 − 0.894733i
\(731\) 7.10799e11 + 1.07681e12i 0.0920701 + 0.139480i
\(732\) −9.85672e11 − 5.88911e11i −0.126891 − 0.0758141i
\(733\) 8.64074e12 + 1.08352e13i 1.10556 + 1.38633i 0.914419 + 0.404769i \(0.132648\pi\)
0.191144 + 0.981562i \(0.438780\pi\)
\(734\) −4.14305e12 + 3.61968e12i −0.526852 + 0.460296i
\(735\) −3.94148e12 + 2.86365e12i −0.498157 + 0.361932i
\(736\) −2.01312e12 + 9.69470e11i −0.252883 + 0.121782i
\(737\) −3.14239e11 + 4.76051e11i −0.0392334 + 0.0594361i
\(738\) 4.51657e12 + 1.69510e12i 0.560473 + 0.210349i
\(739\) −2.80405e12 + 1.67534e12i −0.345849 + 0.206635i −0.675310 − 0.737534i \(-0.735990\pi\)
0.329461 + 0.944169i \(0.393133\pi\)
\(740\) −6.60072e11 − 3.17874e11i −0.0809187 − 0.0389684i
\(741\) 4.80772e11 − 8.72472e10i 0.0585810 − 0.0106309i
\(742\) 3.29469e12 − 1.44350e13i 0.399022 − 1.74823i
\(743\) −3.25934e12 + 1.22325e12i −0.392356 + 0.147254i −0.539753 − 0.841824i \(-0.681482\pi\)
0.147396 + 0.989078i \(0.452911\pi\)
\(744\) 2.23553e12 − 2.80326e12i 0.267486 − 0.335417i
\(745\) −8.13428e11 − 1.81124e13i −0.0967421 − 2.15413i
\(746\) 4.97931e10 + 1.10873e12i 0.00588633 + 0.131069i
\(747\) −6.07392e12 + 7.61646e12i −0.713718 + 0.894974i
\(748\) −2.63651e11 + 9.89498e10i −0.0307944 + 0.0115573i
\(749\) 2.46001e12 − 1.07780e13i 0.285607 − 1.25133i
\(750\) −2.52542e11 + 4.58296e10i −0.0291446 + 0.00528897i
\(751\) 1.19636e13 + 5.76136e12i 1.37240 + 0.660914i 0.967365 − 0.253385i \(-0.0815441\pi\)
0.405038 + 0.914300i \(0.367258\pi\)