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Properties

Label 71.10.g.a.2.16
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 2.16
Character \(\chi\) \(=\) 71.2
Dual form 71.10.g.a.36.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.05362 + 23.4606i) q^{2} +(-62.0217 - 54.1867i) q^{3} +(-39.3519 - 3.54173i) q^{4} +(-781.496 - 2405.20i) q^{5} +(1336.60 - 1397.98i) q^{6} +(-5181.59 - 1430.03i) q^{7} +(-1489.46 + 10995.6i) q^{8} +(-1731.62 - 12783.4i) q^{9} +O(q^{10})\) \(q+(-1.05362 + 23.4606i) q^{2} +(-62.0217 - 54.1867i) q^{3} +(-39.3519 - 3.54173i) q^{4} +(-781.496 - 2405.20i) q^{5} +(1336.60 - 1397.98i) q^{6} +(-5181.59 - 1430.03i) q^{7} +(-1489.46 + 10995.6i) q^{8} +(-1731.62 - 12783.4i) q^{9} +(57250.8 - 15800.2i) q^{10} +(25590.6 - 47555.3i) q^{11} +(2248.75 + 2352.01i) q^{12} +(-49705.2 - 92367.7i) q^{13} +(39008.7 - 120057. i) q^{14} +(-81860.0 + 191521. i) q^{15} +(-276300. - 50141.0i) q^{16} +(-124930. - 90767.0i) q^{17} +(301730. - 27156.2i) q^{18} +(393312. + 920199. i) q^{19} +(22234.8 + 97416.8i) q^{20} +(243882. + 369466. i) q^{21} +(1.08872e6 + 650477. i) q^{22} +(472516. + 592517. i) q^{23} +(688196. - 601259. i) q^{24} +(-3.59412e6 + 2.61128e6i) q^{25} +(2.21937e6 - 1.06879e6i) q^{26} +(-1.47833e6 + 2.23957e6i) q^{27} +(198840. + 74626.0i) q^{28} +(3.07533e6 - 1.83743e6i) q^{29} +(-4.40695e6 - 2.12228e6i) q^{30} +(-6.72786e6 + 1.22093e6i) q^{31} +(203271. - 890590. i) q^{32} +(-4.16404e6 + 1.56279e6i) q^{33} +(2.26108e6 - 2.83530e6i) q^{34} +(609892. + 1.35803e7i) q^{35} +(22867.4 + 509182. i) q^{36} +(8.07751e6 - 1.01289e7i) q^{37} +(-2.20028e7 + 8.25781e6i) q^{38} +(-1.92230e6 + 8.42216e6i) q^{39} +(2.76107e7 - 5.01060e6i) q^{40} +(1.04079e7 + 5.01217e6i) q^{41} +(-8.92486e6 + 5.33235e6i) q^{42} +(-1.65706e7 - 6.21904e6i) q^{43} +(-1.17547e6 + 1.78076e6i) q^{44} +(-2.93932e7 + 1.41550e7i) q^{45} +(-1.43987e7 + 1.04612e7i) q^{46} +(-1.52699e7 + 1.33409e7i) q^{47} +(1.44196e7 + 1.80816e7i) q^{48} +(-9.83764e6 - 5.87772e6i) q^{49} +(-5.74755e7 - 8.70717e7i) q^{50} +(2.83001e6 + 1.23991e7i) q^{51} +(1.62885e6 + 3.81089e6i) q^{52} +(-1.81410e7 + 1.63272e6i) q^{53} +(-5.09841e7 - 3.70421e7i) q^{54} +(-1.34379e8 - 2.43862e7i) q^{55} +(2.34418e7 - 5.48449e7i) q^{56} +(2.54687e7 - 7.83846e7i) q^{57} +(3.98669e7 + 7.40851e7i) q^{58} +(5.11375e7 + 5.34857e7i) q^{59} +(3.89966e6 - 7.24678e6i) q^{60} +(1.44680e8 - 3.99291e7i) q^{61} +(-2.15551e7 - 1.59126e8i) q^{62} +(-9.30799e6 + 6.87144e7i) q^{63} +(-1.17915e8 - 3.25425e7i) q^{64} +(-1.83318e8 + 1.91736e8i) q^{65} +(-3.22767e7 - 9.93376e7i) q^{66} +(-6.38062e7 - 5.74266e6i) q^{67} +(4.59476e6 + 4.01432e6i) q^{68} +(2.80028e6 - 6.23530e7i) q^{69} -3.19245e8 q^{70} +(-1.31546e8 + 1.68950e8i) q^{71} +1.43140e8 q^{72} +(1.73048e7 - 3.85321e8i) q^{73} +(2.29119e8 + 2.00175e8i) q^{74} +(3.64410e8 + 3.27975e7i) q^{75} +(-1.22185e7 - 3.76046e7i) q^{76} +(-2.00605e8 + 2.09817e8i) q^{77} +(-1.95564e8 - 5.39722e7i) q^{78} +(-6.38127e7 + 4.71084e8i) q^{79} +(9.53281e7 + 7.03740e8i) q^{80} +(-3.17195e7 + 8.75403e6i) q^{81} +(-1.28555e8 + 2.38895e8i) q^{82} +(8.34725e7 + 8.73054e7i) q^{83} +(-8.28867e6 - 1.54029e7i) q^{84} +(-1.20680e8 + 3.71416e8i) q^{85} +(1.63362e8 - 3.82203e8i) q^{86} +(-2.90301e8 - 5.26819e7i) q^{87} +(4.84785e8 + 3.52217e8i) q^{88} +(-4.50851e8 + 4.05773e7i) q^{89} +(-3.01117e8 - 7.04498e8i) q^{90} +(1.25463e8 + 5.49691e8i) q^{91} +(-1.64959e7 - 2.49902e7i) q^{92} +(4.83431e8 + 2.88837e8i) q^{93} +(-2.96898e8 - 3.72299e8i) q^{94} +(1.90589e9 - 1.66512e9i) q^{95} +(-6.08654e7 + 4.42213e7i) q^{96} +(5.98859e8 - 2.88395e8i) q^{97} +(1.48260e8 - 2.24604e8i) q^{98} +(-6.52230e8 - 2.44786e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05362 + 23.4606i −0.0465638 + 1.03682i 0.830672 + 0.556763i \(0.187957\pi\)
−0.877235 + 0.480060i \(0.840615\pi\)
\(3\) −62.0217 − 54.1867i −0.442077 − 0.386231i 0.407921 − 0.913017i \(-0.366254\pi\)
−0.849998 + 0.526786i \(0.823397\pi\)
\(4\) −39.3519 − 3.54173i −0.0768591 − 0.00691745i
\(5\) −781.496 − 2405.20i −0.559193 − 1.72102i −0.684605 − 0.728914i \(-0.740025\pi\)
0.125413 − 0.992105i \(-0.459975\pi\)
\(6\) 1336.60 − 1397.98i 0.421038 − 0.440371i
\(7\) −5181.59 − 1430.03i −0.815683 − 0.225114i −0.166789 − 0.985993i \(-0.553340\pi\)
−0.648895 + 0.760878i \(0.724768\pi\)
\(8\) −1489.46 + 10995.6i −0.128565 + 0.949108i
\(9\) −1731.62 − 12783.4i −0.0879756 − 0.649462i
\(10\) 57250.8 − 15800.2i 1.81043 − 0.499647i
\(11\) 25590.6 − 47555.3i 0.527004 − 0.979337i −0.468395 − 0.883519i \(-0.655168\pi\)
0.995399 − 0.0958179i \(-0.0305466\pi\)
\(12\) 2248.75 + 2352.01i 0.0313059 + 0.0327434i
\(13\) −49705.2 − 92367.7i −0.482677 − 0.896964i −0.999172 − 0.0406743i \(-0.987049\pi\)
0.516495 − 0.856290i \(-0.327236\pi\)
\(14\) 39008.7 − 120057.i 0.271385 − 0.835237i
\(15\) −81860.0 + 191521.i −0.417504 + 0.976800i
\(16\) −276300. − 50141.0i −1.05400 − 0.191273i
\(17\) −124930. − 90767.0i −0.362783 − 0.263577i 0.391429 − 0.920208i \(-0.371981\pi\)
−0.754212 + 0.656631i \(0.771981\pi\)
\(18\) 301730. − 27156.2i 0.677474 − 0.0609737i
\(19\) 393312. + 920199.i 0.692382 + 1.61991i 0.781513 + 0.623889i \(0.214448\pi\)
−0.0891306 + 0.996020i \(0.528409\pi\)
\(20\) 22234.8 + 97416.8i 0.0310740 + 0.136144i
\(21\) 243882. + 369466.i 0.273649 + 0.414560i
\(22\) 1.08872e6 + 650477.i 0.990860 + 0.592011i
\(23\) 472516. + 592517.i 0.352080 + 0.441494i 0.926061 − 0.377374i \(-0.123173\pi\)
−0.573981 + 0.818869i \(0.694602\pi\)
\(24\) 688196. − 601259.i 0.423411 − 0.369923i
\(25\) −3.59412e6 + 2.61128e6i −1.84019 + 1.33698i
\(26\) 2.21937e6 − 1.06879e6i 0.952468 − 0.458685i
\(27\) −1.47833e6 + 2.23957e6i −0.535344 + 0.811012i
\(28\) 198840. + 74626.0i 0.0611355 + 0.0229445i
\(29\) 3.07533e6 − 1.83743e6i 0.807423 − 0.482413i −0.0489311 − 0.998802i \(-0.515581\pi\)
0.856354 + 0.516390i \(0.172724\pi\)
\(30\) −4.40695e6 − 2.12228e6i −0.993328 − 0.478362i
\(31\) −6.72786e6 + 1.22093e6i −1.30843 + 0.237445i −0.787584 − 0.616208i \(-0.788668\pi\)
−0.520843 + 0.853652i \(0.674382\pi\)
\(32\) 203271. − 890590.i 0.0342690 − 0.150142i
\(33\) −4.16404e6 + 1.56279e6i −0.611226 + 0.229397i
\(34\) 2.26108e6 − 2.83530e6i 0.290176 − 0.363869i
\(35\) 609892. + 1.35803e7i 0.0686984 + 1.52969i
\(36\) 22867.4 + 509182.i 0.00226911 + 0.0505257i
\(37\) 8.07751e6 − 1.01289e7i 0.708549 − 0.888492i −0.289081 − 0.957305i \(-0.593350\pi\)
0.997630 + 0.0688126i \(0.0219211\pi\)
\(38\) −2.20028e7 + 8.25781e6i −1.71180 + 0.642449i
\(39\) −1.92230e6 + 8.42216e6i −0.133055 + 0.582952i
\(40\) 2.76107e7 − 5.01060e6i 1.70532 − 0.309471i
\(41\) 1.04079e7 + 5.01217e6i 0.575222 + 0.277012i 0.698793 − 0.715324i \(-0.253721\pi\)
−0.123572 + 0.992336i \(0.539435\pi\)
\(42\) −8.92486e6 + 5.33235e6i −0.442567 + 0.264422i
\(43\) −1.65706e7 − 6.21904e6i −0.739144 − 0.277406i −0.0467320 − 0.998907i \(-0.514881\pi\)
−0.692412 + 0.721502i \(0.743452\pi\)
\(44\) −1.17547e6 + 1.78076e6i −0.0472796 + 0.0716255i
\(45\) −2.93932e7 + 1.41550e7i −1.06854 + 0.514582i
\(46\) −1.43987e7 + 1.04612e7i −0.474146 + 0.344487i
\(47\) −1.52699e7 + 1.33409e7i −0.456454 + 0.398792i −0.855224 − 0.518259i \(-0.826580\pi\)
0.398769 + 0.917051i \(0.369437\pi\)
\(48\) 1.44196e7 + 1.80816e7i 0.392074 + 0.491645i
\(49\) −9.83764e6 − 5.87772e6i −0.243786 − 0.145655i
\(50\) −5.74755e7 − 8.70717e7i −1.30052 − 1.97021i
\(51\) 2.83001e6 + 1.23991e7i 0.0585763 + 0.256640i
\(52\) 1.62885e6 + 3.81089e6i 0.0308934 + 0.0722788i
\(53\) −1.81410e7 + 1.63272e6i −0.315806 + 0.0284230i −0.246408 − 0.969166i \(-0.579250\pi\)
−0.0693973 + 0.997589i \(0.522108\pi\)
\(54\) −5.09841e7 − 3.70421e7i −0.815948 − 0.592821i
\(55\) −1.34379e8 − 2.43862e7i −1.98015 − 0.359345i
\(56\) 2.34418e7 − 5.48449e7i 0.318526 − 0.745229i
\(57\) 2.54687e7 − 7.83846e7i 0.319573 − 0.983544i
\(58\) 3.98669e7 + 7.40851e7i 0.462580 + 0.859617i
\(59\) 5.11375e7 + 5.34857e7i 0.549421 + 0.574650i 0.937943 − 0.346790i \(-0.112728\pi\)
−0.388521 + 0.921440i \(0.627014\pi\)
\(60\) 3.89966e6 − 7.24678e6i 0.0388460 − 0.0721879i
\(61\) 1.44680e8 − 3.99291e7i 1.33790 − 0.369237i 0.477400 − 0.878686i \(-0.341579\pi\)
0.860501 + 0.509449i \(0.170151\pi\)
\(62\) −2.15551e7 − 1.59126e8i −0.185263 − 1.36766i
\(63\) −9.30799e6 + 6.87144e7i −0.0744430 + 0.549560i
\(64\) −1.17915e8 − 3.25425e7i −0.878536 − 0.242461i
\(65\) −1.83318e8 + 1.91736e8i −1.27378 + 1.33227i
\(66\) −3.22767e7 − 9.93376e7i −0.209383 − 0.644415i
\(67\) −6.38062e7 − 5.74266e6i −0.386835 − 0.0348158i −0.105485 − 0.994421i \(-0.533639\pi\)
−0.281350 + 0.959605i \(0.590782\pi\)
\(68\) 4.59476e6 + 4.01432e6i 0.0260599 + 0.0227679i
\(69\) 2.80028e6 − 6.23530e7i 0.0148724 − 0.331159i
\(70\) −3.19245e8 −1.58921
\(71\) −1.31546e8 + 1.68950e8i −0.614351 + 0.789033i
\(72\) 1.43140e8 0.627720
\(73\) 1.73048e7 − 3.85321e8i 0.0713203 − 1.58807i −0.570554 − 0.821260i \(-0.693272\pi\)
0.641874 − 0.766810i \(-0.278157\pi\)
\(74\) 2.29119e8 + 2.00175e8i 0.888216 + 0.776011i
\(75\) 3.64410e8 + 3.27975e7i 1.32989 + 0.119692i
\(76\) −1.22185e7 − 3.76046e7i −0.0420103 − 0.129294i
\(77\) −2.00605e8 + 2.09817e8i −0.650331 + 0.680193i
\(78\) −1.95564e8 − 5.39722e7i −0.598222 − 0.165099i
\(79\) −6.38127e7 + 4.71084e8i −0.184325 + 1.36074i 0.628306 + 0.777966i \(0.283749\pi\)
−0.812631 + 0.582778i \(0.801966\pi\)
\(80\) 9.53281e7 + 7.03740e8i 0.260205 + 1.92091i
\(81\) −3.17195e7 + 8.75403e6i −0.0818736 + 0.0225957i
\(82\) −1.28555e8 + 2.38895e8i −0.313997 + 0.583504i
\(83\) 8.34725e7 + 8.73054e7i 0.193060 + 0.201925i 0.812239 − 0.583325i \(-0.198249\pi\)
−0.619179 + 0.785250i \(0.712534\pi\)
\(84\) −8.28867e6 − 1.54029e7i −0.0181647 − 0.0337557i
\(85\) −1.20680e8 + 3.71416e8i −0.250756 + 0.771747i
\(86\) 1.63362e8 − 3.82203e8i 0.322038 − 0.753445i
\(87\) −2.90301e8 − 5.26819e7i −0.543266 − 0.0985882i
\(88\) 4.84785e8 + 3.52217e8i 0.861742 + 0.626092i
\(89\) −4.50851e8 + 4.05773e7i −0.761689 + 0.0685533i −0.463672 − 0.886007i \(-0.653468\pi\)
−0.298018 + 0.954560i \(0.596325\pi\)
\(90\) −3.01117e8 − 7.04498e8i −0.483775 − 1.13185i
\(91\) 1.25463e8 + 5.49691e8i 0.191792 + 0.840296i
\(92\) −1.64959e7 − 2.49902e7i −0.0240066 − 0.0363684i
\(93\) 4.83431e8 + 2.88837e8i 0.670134 + 0.400386i
\(94\) −2.96898e8 − 3.72299e8i −0.392222 − 0.491831i
\(95\) 1.90589e9 − 1.66512e9i 2.40072 − 2.09744i
\(96\) −6.08654e7 + 4.42213e7i −0.0731391 + 0.0531387i
\(97\) 5.98859e8 − 2.88395e8i 0.686833 − 0.330762i −0.0577120 − 0.998333i \(-0.518381\pi\)
0.744546 + 0.667572i \(0.232666\pi\)
\(98\) 1.48260e8 − 2.24604e8i 0.162370 − 0.245981i
\(99\) −6.52230e8 − 2.44786e8i −0.682406 − 0.256111i
\(100\) 1.50684e8 − 9.00295e7i 0.150684 − 0.0900295i
\(101\) 9.93316e8 + 4.78356e8i 0.949820 + 0.457409i 0.843623 − 0.536936i \(-0.180418\pi\)
0.106197 + 0.994345i \(0.466133\pi\)
\(102\) −2.93872e8 + 5.33299e7i −0.268817 + 0.0487831i
\(103\) −3.89693e8 + 1.70736e9i −0.341158 + 1.49471i 0.455476 + 0.890248i \(0.349469\pi\)
−0.796634 + 0.604462i \(0.793388\pi\)
\(104\) 1.08968e9 − 4.08962e8i 0.913371 − 0.342794i
\(105\) 6.98045e8 − 8.75321e8i 0.560443 − 0.702773i
\(106\) −1.91909e7 − 4.27320e8i −0.0147645 − 0.328758i
\(107\) −6.82431e7 − 1.51955e9i −0.0503306 − 1.12070i −0.852206 − 0.523206i \(-0.824736\pi\)
0.801876 − 0.597491i \(-0.203836\pi\)
\(108\) 6.61069e7 − 8.28954e7i 0.0467562 − 0.0586305i
\(109\) 6.14320e8 − 2.30558e8i 0.416846 − 0.156445i −0.134135 − 0.990963i \(-0.542825\pi\)
0.550980 + 0.834518i \(0.314254\pi\)
\(110\) 7.13699e8 − 3.12692e9i 0.464780 − 2.03634i
\(111\) −1.04983e9 + 1.90516e8i −0.656396 + 0.119118i
\(112\) 1.35997e9 + 6.54926e8i 0.816672 + 0.393288i
\(113\) −1.98173e9 + 1.18403e9i −1.14338 + 0.683138i −0.954308 − 0.298826i \(-0.903405\pi\)
−0.189072 + 0.981963i \(0.560548\pi\)
\(114\) 1.81212e9 + 6.80099e8i 1.00488 + 0.377138i
\(115\) 1.05585e9 − 1.59954e9i 0.562939 − 0.852817i
\(116\) −1.27528e8 + 6.14141e7i −0.0653949 + 0.0314925i
\(117\) −1.09470e9 + 7.95346e8i −0.540081 + 0.392391i
\(118\) −1.30869e9 + 1.14336e9i −0.621393 + 0.542895i
\(119\) 5.17537e8 + 6.48971e8i 0.236581 + 0.296663i
\(120\) −1.98397e9 − 1.18537e9i −0.873412 − 0.521839i
\(121\) −3.07644e8 − 4.66061e8i −0.130471 − 0.197655i
\(122\) 7.84325e8 + 3.43635e9i 0.320536 + 1.40436i
\(123\) −3.73921e8 − 8.74832e8i −0.147302 − 0.344629i
\(124\) 2.69078e8 − 2.42175e7i 0.102207 − 0.00919880i
\(125\) 5.09338e9 + 3.70056e9i 1.86600 + 1.35573i
\(126\) −1.60227e9 − 2.90770e8i −0.566330 − 0.102774i
\(127\) −9.30126e8 + 2.17614e9i −0.317267 + 0.742284i 0.682666 + 0.730731i \(0.260820\pi\)
−0.999933 + 0.0115531i \(0.996322\pi\)
\(128\) 1.03223e9 − 3.17689e9i 0.339886 − 1.04606i
\(129\) 6.90745e8 + 1.28362e9i 0.219616 + 0.408115i
\(130\) −4.30509e9 − 4.50277e9i −1.32202 − 1.38272i
\(131\) −7.09253e8 + 1.31801e9i −0.210417 + 0.391020i −0.963826 − 0.266532i \(-0.914122\pi\)
0.753409 + 0.657552i \(0.228408\pi\)
\(132\) 1.69398e8 − 4.67508e7i 0.0485652 − 0.0134031i
\(133\) −7.22070e8 − 5.33054e9i −0.200100 − 1.47720i
\(134\) 2.01954e8 − 1.49088e9i 0.0541103 − 0.399458i
\(135\) 6.54191e9 + 1.80545e9i 1.69513 + 0.467826i
\(136\) 1.18412e9 − 1.23849e9i 0.296805 − 0.310433i
\(137\) −1.55965e9 − 4.80011e9i −0.378255 − 1.16415i −0.941256 − 0.337693i \(-0.890354\pi\)
0.563002 − 0.826456i \(-0.309646\pi\)
\(138\) 1.45989e9 + 1.31392e8i 0.342660 + 0.0308400i
\(139\) 4.09835e9 + 3.58062e9i 0.931198 + 0.813563i 0.982718 − 0.185109i \(-0.0592638\pi\)
−0.0515202 + 0.998672i \(0.516407\pi\)
\(140\) 2.40974e7 − 5.36570e8i 0.00530144 − 0.118046i
\(141\) 1.66997e9 0.355814
\(142\) −3.82507e9 − 3.26417e9i −0.789481 − 0.673713i
\(143\) −5.66456e9 −1.13280
\(144\) −1.62523e8 + 3.61886e9i −0.0314981 + 0.701360i
\(145\) −6.82273e9 − 5.96084e9i −1.28175 − 1.11983i
\(146\) 9.02163e9 + 8.11962e8i 1.64323 + 0.147893i
\(147\) 2.91653e8 + 8.97615e8i 0.0515156 + 0.158549i
\(148\) −3.53739e8 + 3.69982e8i −0.0606045 + 0.0633874i
\(149\) 9.68390e8 + 2.67259e8i 0.160958 + 0.0444215i 0.345587 − 0.938387i \(-0.387680\pi\)
−0.184629 + 0.982808i \(0.559108\pi\)
\(150\) −1.15340e9 + 8.51474e9i −0.186024 + 1.37329i
\(151\) 9.95720e8 + 7.35070e9i 0.155862 + 1.15062i 0.884776 + 0.466016i \(0.154311\pi\)
−0.728914 + 0.684605i \(0.759975\pi\)
\(152\) −1.07040e10 + 2.95412e9i −1.62648 + 0.448881i
\(153\) −9.43976e8 + 1.75420e9i −0.139267 + 0.258802i
\(154\) −4.71107e9 − 4.92739e9i −0.674958 − 0.705950i
\(155\) 8.19437e9 + 1.52277e10i 1.14031 + 2.11905i
\(156\) 1.05475e8 − 3.24620e8i 0.0142590 − 0.0438848i
\(157\) −1.35283e9 + 3.16511e9i −0.177703 + 0.415758i −0.984574 − 0.174971i \(-0.944017\pi\)
0.806870 + 0.590729i \(0.201160\pi\)
\(158\) −1.09847e10 − 1.99343e9i −1.40227 − 0.254474i
\(159\) 1.21361e9 + 8.81737e8i 0.150588 + 0.109409i
\(160\) −2.30090e9 + 2.07085e8i −0.277561 + 0.0249809i
\(161\) −1.60107e9 − 3.74589e9i −0.187799 − 0.439378i
\(162\) −1.71955e8 − 7.53383e8i −0.0196154 − 0.0859405i
\(163\) −1.70369e9 − 2.58098e9i −0.189037 − 0.286378i 0.727680 − 0.685917i \(-0.240599\pi\)
−0.916716 + 0.399539i \(0.869170\pi\)
\(164\) −3.91818e8 − 2.34100e8i −0.0422948 − 0.0252700i
\(165\) 7.01300e9 + 8.79402e9i 0.736590 + 0.923655i
\(166\) −2.13619e9 + 1.86633e9i −0.218350 + 0.190767i
\(167\) −1.16879e10 + 8.49179e9i −1.16282 + 0.844841i −0.990132 − 0.140135i \(-0.955246\pi\)
−0.172691 + 0.984976i \(0.555246\pi\)
\(168\) −4.42577e9 + 2.13134e9i −0.428644 + 0.206424i
\(169\) −2.19203e8 + 3.32079e8i −0.0206708 + 0.0313149i
\(170\) −8.58649e9 − 3.22256e9i −0.788489 − 0.295925i
\(171\) 1.10822e10 − 6.62129e9i 0.991157 − 0.592189i
\(172\) 6.30057e8 + 3.03419e8i 0.0548911 + 0.0264341i
\(173\) 1.28927e10 − 2.33967e9i 1.09430 − 0.198586i 0.398745 − 0.917062i \(-0.369446\pi\)
0.695552 + 0.718476i \(0.255160\pi\)
\(174\) 1.54182e9 − 6.75514e9i 0.127515 − 0.558680i
\(175\) 2.23575e10 − 8.39090e9i 1.80199 − 0.676297i
\(176\) −9.45515e9 + 1.18564e10i −0.742782 + 0.931419i
\(177\) −2.73423e8 − 6.08824e9i −0.0209390 − 0.466243i
\(178\) −4.76944e8 − 1.06200e10i −0.0356105 − 0.792929i
\(179\) −1.19448e9 + 1.49783e9i −0.0869642 + 0.109050i −0.823410 − 0.567447i \(-0.807931\pi\)
0.736446 + 0.676497i \(0.236503\pi\)
\(180\) 1.20681e9 − 4.52924e8i 0.0856867 − 0.0321588i
\(181\) 3.58491e9 − 1.57065e10i 0.248270 − 1.08774i −0.684993 − 0.728550i \(-0.740195\pi\)
0.933263 − 0.359193i \(-0.116948\pi\)
\(182\) −1.30283e10 + 2.36429e9i −0.880169 + 0.159727i
\(183\) −1.11369e10 − 5.36326e9i −0.734066 − 0.353508i
\(184\) −7.21889e9 + 4.31309e9i −0.464291 + 0.277401i
\(185\) −3.06745e10 − 1.15123e10i −1.92533 − 0.722587i
\(186\) −7.28564e9 + 1.10373e10i −0.446334 + 0.676167i
\(187\) −7.51350e9 + 3.61831e9i −0.449319 + 0.216381i
\(188\) 6.48151e8 − 4.70909e8i 0.0378413 − 0.0274933i
\(189\) 1.08627e10 − 9.49047e9i 0.619242 − 0.541015i
\(190\) 3.70568e10 + 4.64677e10i 2.06289 + 2.58678i
\(191\) −2.11275e10 − 1.26231e10i −1.14867 − 0.686301i −0.193138 − 0.981172i \(-0.561866\pi\)
−0.955537 + 0.294870i \(0.904723\pi\)
\(192\) 5.54992e9 + 8.40777e9i 0.294735 + 0.446504i
\(193\) −4.29051e9 − 1.87979e10i −0.222587 − 0.975219i −0.955522 − 0.294920i \(-0.904707\pi\)
0.732935 − 0.680299i \(-0.238150\pi\)
\(194\) 6.13496e9 + 1.43535e10i 0.310960 + 0.727526i
\(195\) 2.17592e10 − 1.95837e9i 1.07767 − 0.0969925i
\(196\) 3.66312e8 + 2.66141e8i 0.0177296 + 0.0128813i
\(197\) −3.86010e10 − 7.00505e9i −1.82600 − 0.331370i −0.846434 − 0.532493i \(-0.821255\pi\)
−0.979566 + 0.201123i \(0.935541\pi\)
\(198\) 6.43004e9 − 1.50438e10i 0.297317 − 0.695608i
\(199\) 1.83911e9 − 5.66018e9i 0.0831319 − 0.255854i −0.900848 − 0.434136i \(-0.857054\pi\)
0.983979 + 0.178282i \(0.0570539\pi\)
\(200\) −2.33594e10 − 4.34091e10i −1.03235 − 1.91843i
\(201\) 3.64619e9 + 3.81361e9i 0.157564 + 0.164799i
\(202\) −1.22691e10 + 2.27998e10i −0.518479 + 0.963496i
\(203\) −1.85627e10 + 5.12297e9i −0.767199 + 0.211734i
\(204\) −6.74519e7 − 4.97950e8i −0.00272683 − 0.0201303i
\(205\) 3.92154e9 − 2.89500e10i 0.155083 − 1.14487i
\(206\) −3.96451e10 − 1.09413e10i −1.53386 − 0.423319i
\(207\) 6.75613e9 − 7.06636e9i 0.255759 − 0.267503i
\(208\) 9.10212e9 + 2.80134e10i 0.337177 + 1.03772i
\(209\) 5.38255e10 + 4.84438e9i 1.95132 + 0.175622i
\(210\) 1.98001e10 + 1.72988e10i 0.702555 + 0.613804i
\(211\) 1.96221e9 − 4.36921e10i 0.0681515 − 1.51751i −0.615753 − 0.787939i \(-0.711148\pi\)
0.683904 − 0.729572i \(-0.260281\pi\)
\(212\) 7.19665e8 0.0244692
\(213\) 1.73136e10 − 3.35049e9i 0.576339 − 0.111532i
\(214\) 3.57215e10 1.16431
\(215\) −2.00818e9 + 4.47156e10i −0.0640958 + 1.42720i
\(216\) −2.24236e10 − 1.95909e10i −0.700911 − 0.612368i
\(217\) 3.66070e10 + 3.29469e9i 1.12071 + 0.100866i
\(218\) 4.76178e9 + 1.46552e10i 0.142796 + 0.439480i
\(219\) −2.19525e10 + 2.29606e10i −0.644891 + 0.674503i
\(220\) 5.20169e9 + 1.43558e9i 0.149707 + 0.0413165i
\(221\) −2.17427e9 + 1.60511e10i −0.0613124 + 0.452626i
\(222\) −3.36351e9 − 2.48304e10i −0.0929404 − 0.686113i
\(223\) −1.68172e9 + 4.64124e8i −0.0455387 + 0.0125679i −0.288732 − 0.957410i \(-0.593234\pi\)
0.243193 + 0.969978i \(0.421805\pi\)
\(224\) −2.32684e9 + 4.32398e9i −0.0617518 + 0.114754i
\(225\) 3.96047e10 + 4.14232e10i 1.03021 + 1.07751i
\(226\) −2.56900e10 − 4.77400e10i −0.655053 − 1.21729i
\(227\) 4.44813e9 − 1.36899e10i 0.111189 − 0.342204i −0.879944 − 0.475077i \(-0.842420\pi\)
0.991133 + 0.132873i \(0.0424202\pi\)
\(228\) −1.27986e9 + 2.99438e9i −0.0313657 + 0.0733837i
\(229\) −2.10502e10 − 3.82005e9i −0.505820 − 0.0917929i −0.0803528 − 0.996766i \(-0.525605\pi\)
−0.425468 + 0.904974i \(0.639890\pi\)
\(230\) 3.64138e10 + 2.64562e10i 0.858007 + 0.623379i
\(231\) 2.38112e10 − 2.14304e9i 0.550208 − 0.0495196i
\(232\) 1.56231e10 + 3.65520e10i 0.354055 + 0.828353i
\(233\) −2.85727e8 − 1.25185e9i −0.00635111 − 0.0278260i 0.971653 − 0.236411i \(-0.0759713\pi\)
−0.978004 + 0.208585i \(0.933114\pi\)
\(234\) −1.75059e10 − 2.65203e10i −0.381692 − 0.578239i
\(235\) 4.40210e10 + 2.63013e10i 0.941574 + 0.562564i
\(236\) −1.82293e9 − 2.28588e9i −0.0382529 − 0.0479677i
\(237\) 2.94843e10 − 2.57596e10i 0.607048 − 0.530362i
\(238\) −1.57705e10 + 1.14580e10i −0.318603 + 0.231479i
\(239\) −4.47037e10 + 2.15282e10i −0.886244 + 0.426793i −0.820901 − 0.571070i \(-0.806528\pi\)
−0.0653427 + 0.997863i \(0.520814\pi\)
\(240\) 3.22210e10 − 4.88127e10i 0.626885 − 0.949690i
\(241\) 6.51509e10 + 2.44515e10i 1.24407 + 0.466906i 0.884643 − 0.466269i \(-0.154402\pi\)
0.359423 + 0.933175i \(0.382973\pi\)
\(242\) 1.12582e10 − 6.72647e9i 0.211009 − 0.126072i
\(243\) 5.00300e10 + 2.40932e10i 0.920455 + 0.443268i
\(244\) −5.83484e9 + 1.05887e9i −0.105384 + 0.0191244i
\(245\) −6.44899e9 + 2.82549e10i −0.114352 + 0.501010i
\(246\) 2.09181e10 − 7.85069e9i 0.364178 − 0.136678i
\(247\) 6.54471e10 − 8.20680e10i 1.11880 − 1.40294i
\(248\) −3.40399e9 − 7.57957e10i −0.0571420 − 1.27237i
\(249\) −4.46313e8 − 9.93793e9i −0.00735770 − 0.163832i
\(250\) −9.21839e10 + 1.15595e11i −1.49254 + 1.87158i
\(251\) 3.40997e10 − 1.27978e10i 0.542273 − 0.203519i −0.0651806 − 0.997873i \(-0.520762\pi\)
0.607454 + 0.794355i \(0.292191\pi\)
\(252\) 6.09655e8 − 2.67107e9i 0.00952317 − 0.0417237i
\(253\) 4.02693e10 − 7.30780e9i 0.617919 − 0.112136i
\(254\) −5.00736e10 − 2.41142e10i −0.754843 − 0.363513i
\(255\) 2.76106e10 − 1.64966e10i 0.408926 − 0.244322i
\(256\) 1.48083e10 + 5.55766e9i 0.215490 + 0.0808746i
\(257\) −7.99363e9 + 1.21098e10i −0.114300 + 0.173157i −0.887220 − 0.461346i \(-0.847367\pi\)
0.772920 + 0.634503i \(0.218795\pi\)
\(258\) −3.08423e10 + 1.48529e10i −0.433369 + 0.208700i
\(259\) −5.63389e10 + 4.09326e10i −0.777964 + 0.565224i
\(260\) 7.89299e9 − 6.89590e9i 0.107118 − 0.0935859i
\(261\) −2.88138e10 − 3.61314e10i −0.384342 − 0.481950i
\(262\) −3.01741e10 − 1.80282e10i −0.395621 − 0.236372i
\(263\) −4.53872e10 − 6.87586e10i −0.584968 − 0.886189i 0.414750 − 0.909935i \(-0.363869\pi\)
−0.999718 + 0.0237465i \(0.992441\pi\)
\(264\) −1.09817e10 − 4.81140e10i −0.139140 − 0.609612i
\(265\) 1.81041e10 + 4.23567e10i 0.225513 + 0.527614i
\(266\) 1.25819e11 − 1.13239e10i 1.54091 − 0.138684i
\(267\) 3.01613e10 + 2.19134e10i 0.363203 + 0.263882i
\(268\) 2.49055e9 + 4.51969e8i 0.0294910 + 0.00535182i
\(269\) −2.75892e10 + 6.45481e10i −0.321258 + 0.751620i 0.678596 + 0.734512i \(0.262589\pi\)
−0.999854 + 0.0171083i \(0.994554\pi\)
\(270\) −4.92497e10 + 1.51575e11i −0.563984 + 1.73576i
\(271\) −7.13563e10 − 1.32602e11i −0.803657 − 1.49344i −0.868577 − 0.495554i \(-0.834965\pi\)
0.0649203 − 0.997890i \(-0.479321\pi\)
\(272\) 2.99670e10 + 3.13430e10i 0.331958 + 0.347201i
\(273\) 2.20045e10 − 4.08912e10i 0.239762 − 0.445552i
\(274\) 1.14257e11 − 3.15329e10i 1.22463 − 0.337976i
\(275\) 3.22046e10 + 2.37744e11i 0.339564 + 2.50676i
\(276\) −3.31034e8 + 2.44379e9i −0.00343385 + 0.0253497i
\(277\) −1.50892e11 − 4.16436e10i −1.53995 − 0.425000i −0.609916 − 0.792466i \(-0.708797\pi\)
−0.930037 + 0.367466i \(0.880225\pi\)
\(278\) −8.83216e10 + 9.23771e10i −0.886881 + 0.927605i
\(279\) 2.72577e10 + 8.38905e10i 0.269321 + 0.828885i
\(280\) −1.50232e11 − 1.35212e10i −1.46067 − 0.131463i
\(281\) 7.05781e10 + 6.16622e10i 0.675292 + 0.589985i 0.925747 − 0.378144i \(-0.123437\pi\)
−0.250455 + 0.968128i \(0.580580\pi\)
\(282\) −1.75951e9 + 3.91785e10i −0.0165680 + 0.368916i
\(283\) 9.59281e10 0.889011 0.444505 − 0.895776i \(-0.353379\pi\)
0.444505 + 0.895776i \(0.353379\pi\)
\(284\) 5.77497e9 − 6.18259e9i 0.0526765 − 0.0563947i
\(285\) −2.08434e11 −1.87140
\(286\) 5.96829e9 − 1.32894e11i 0.0527476 − 1.17452i
\(287\) −4.67618e10 − 4.08546e10i −0.406839 − 0.355445i
\(288\) −1.17367e10 − 1.05632e9i −0.100527 − 0.00904755i
\(289\) −2.92768e10 − 9.01047e10i −0.246878 − 0.759814i
\(290\) 1.47033e11 − 1.53785e11i 1.22075 − 1.27680i
\(291\) −5.27694e10 − 1.45634e10i −0.431384 − 0.119054i
\(292\) −2.04568e9 + 1.51018e10i −0.0164670 + 0.121564i
\(293\) 1.71943e10 + 1.26933e11i 0.136295 + 1.00617i 0.921896 + 0.387437i \(0.126639\pi\)
−0.785601 + 0.618733i \(0.787646\pi\)
\(294\) −2.13659e10 + 5.89662e9i −0.166786 + 0.0460299i
\(295\) 8.86798e10 − 1.64795e11i 0.681750 − 1.26690i
\(296\) 9.93423e10 + 1.03904e11i 0.752180 + 0.786718i
\(297\) 6.86721e10 + 1.27614e11i 0.512126 + 0.951689i
\(298\) −7.29036e9 + 2.24374e10i −0.0535520 + 0.164816i
\(299\) 3.12429e10 − 7.30964e10i 0.226064 − 0.528902i
\(300\) −1.42241e10 − 2.58129e9i −0.101386 − 0.0183989i
\(301\) 7.69684e10 + 5.59208e10i 0.540460 + 0.392667i
\(302\) −1.73501e11 + 1.56154e10i −1.20025 + 0.108024i
\(303\) −3.56866e10 − 8.34930e10i −0.243228 − 0.569060i
\(304\) −6.25323e10 − 2.73972e11i −0.419926 − 1.83982i
\(305\) −2.09104e11 − 3.16779e11i −1.38361 − 2.09608i
\(306\) −4.01601e10 − 2.39945e10i −0.261847 − 0.156446i
\(307\) −1.31142e11 − 1.64447e11i −0.842597 − 1.05658i −0.997639 − 0.0686750i \(-0.978123\pi\)
0.155042 − 0.987908i \(-0.450449\pi\)
\(308\) 8.63731e9 − 7.54619e9i 0.0546891 − 0.0477804i
\(309\) 1.16685e11 − 8.47770e10i 0.728121 − 0.529011i
\(310\) −3.65885e11 + 1.76201e11i −2.25018 + 1.08363i
\(311\) −1.26138e11 + 1.91090e11i −0.764580 + 1.15829i 0.218629 + 0.975808i \(0.429842\pi\)
−0.983209 + 0.182482i \(0.941587\pi\)
\(312\) −8.97439e10 − 3.36814e10i −0.536178 − 0.201231i
\(313\) 5.22117e10 − 3.11950e10i 0.307481 − 0.183711i −0.350866 − 0.936426i \(-0.614113\pi\)
0.658348 + 0.752714i \(0.271256\pi\)
\(314\) −7.28301e10 − 3.50731e10i −0.422793 − 0.203606i
\(315\) 1.72546e11 − 3.13124e10i 0.987431 − 0.179192i
\(316\) 4.17960e9 − 1.83120e10i 0.0235800 − 0.103311i
\(317\) 1.05063e11 − 3.94306e10i 0.584361 − 0.219314i −0.0416451 − 0.999132i \(-0.513260\pi\)
0.626006 + 0.779818i \(0.284688\pi\)
\(318\) −2.19648e10 + 2.75430e10i −0.120449 + 0.151039i
\(319\) −8.67973e9 − 1.93269e11i −0.0469298 − 1.04497i
\(320\) 1.38790e10 + 3.09041e11i 0.0739920 + 1.64756i
\(321\) −7.81069e10 + 9.79429e10i −0.410598 + 0.514873i
\(322\) 8.95678e10 − 3.36153e10i 0.464302 − 0.174255i
\(323\) 3.43872e10 − 1.50660e11i 0.175787 − 0.770172i
\(324\) 1.27923e9 − 2.32145e8i 0.00644904 − 0.00117033i
\(325\) 4.19845e11 + 2.02187e11i 2.08744 + 1.00526i
\(326\) 6.23463e10 − 3.72502e10i 0.305726 − 0.182663i
\(327\) −5.05943e10 − 1.89884e10i −0.244702 − 0.0918381i
\(328\) −7.06142e10 + 1.06976e11i −0.336868 + 0.510333i
\(329\) 9.82005e10 − 4.72908e10i 0.462096 − 0.222534i
\(330\) −2.13702e11 + 1.55264e11i −0.991965 + 0.720705i
\(331\) −1.05866e11 + 9.24920e10i −0.484762 + 0.423524i −0.865310 − 0.501237i \(-0.832878\pi\)
0.380548 + 0.924761i \(0.375736\pi\)
\(332\) −2.97559e9 − 3.73127e9i −0.0134416 − 0.0168552i
\(333\) −1.43468e11 − 8.57183e10i −0.639377 − 0.382010i
\(334\) −1.86908e11 − 2.83153e11i −0.821805 − 1.24498i
\(335\) 3.60520e10 + 1.57954e11i 0.156397 + 0.685219i
\(336\) −4.88592e10 − 1.14312e11i −0.209132 − 0.489288i
\(337\) −1.10615e11 + 9.95550e9i −0.467173 + 0.0420464i −0.320726 − 0.947172i \(-0.603927\pi\)
−0.146448 + 0.989218i \(0.546784\pi\)
\(338\) −7.55982e9 − 5.49253e9i −0.0315055 − 0.0228901i
\(339\) 1.87068e11 + 3.39479e10i 0.769311 + 0.139609i
\(340\) 6.06445e9 − 1.41885e10i 0.0246114 − 0.0575812i
\(341\) −1.14109e11 + 3.51190e11i −0.457008 + 1.40653i
\(342\) 1.43663e11 + 2.66971e11i 0.567843 + 1.05523i
\(343\) 1.92470e11 + 2.01307e11i 0.750824 + 0.785301i
\(344\) 9.30635e10 − 1.72941e11i 0.358316 − 0.665863i
\(345\) −1.52160e11 + 4.19934e10i −0.578247 + 0.159586i
\(346\) 4.13062e10 + 3.04935e11i 0.154943 + 1.14384i
\(347\) 2.47254e10 − 1.82530e11i 0.0915504 − 0.675852i −0.885776 − 0.464113i \(-0.846373\pi\)
0.977326 − 0.211739i \(-0.0679126\pi\)
\(348\) 1.12373e10 + 3.10130e9i 0.0410729 + 0.0113354i
\(349\) −3.38078e11 + 3.53602e11i −1.21984 + 1.27585i −0.270094 + 0.962834i \(0.587055\pi\)
−0.949747 + 0.313019i \(0.898660\pi\)
\(350\) 1.73299e11 + 5.33361e11i 0.617293 + 1.89983i
\(351\) 2.80344e11 + 2.52314e10i 0.985847 + 0.0887279i
\(352\) −3.71505e10 − 3.24574e10i −0.128980 − 0.112686i
\(353\) −5.15585e9 + 1.14804e11i −0.0176732 + 0.393523i 0.970588 + 0.240748i \(0.0773926\pi\)
−0.988261 + 0.152776i \(0.951179\pi\)
\(354\) 1.43122e11 0.484386
\(355\) 5.09161e11 + 1.84361e11i 1.70148 + 0.616087i
\(356\) 1.78855e10 0.0590170
\(357\) 3.06708e9 − 6.82939e10i 0.00999352 − 0.222523i
\(358\) −3.38815e10 − 2.96014e10i −0.109016 − 0.0952442i
\(359\) −1.82624e10 − 1.64365e9i −0.0580275 − 0.00522257i 0.0605875 − 0.998163i \(-0.480703\pi\)
−0.118615 + 0.992940i \(0.537845\pi\)
\(360\) −1.11864e11 − 3.44281e11i −0.351017 − 1.08032i
\(361\) −4.69075e11 + 4.90614e11i −1.45365 + 1.52040i
\(362\) 3.64707e11 + 1.00653e11i 1.11624 + 0.308062i
\(363\) −6.17370e9 + 4.55761e10i −0.0186623 + 0.137771i
\(364\) −2.99036e9 − 2.20757e10i −0.00892827 − 0.0659111i
\(365\) −9.40296e11 + 2.59505e11i −2.77298 + 0.765294i
\(366\) 1.37559e11 − 2.55628e11i 0.400706 − 0.744636i
\(367\) −1.62590e11 − 1.70056e11i −0.467840 − 0.489322i 0.446208 − 0.894929i \(-0.352774\pi\)
−0.914047 + 0.405607i \(0.867060\pi\)
\(368\) −1.00847e11 − 1.87405e11i −0.286646 − 0.532678i
\(369\) 4.60499e10 − 1.41727e11i 0.129303 − 0.397955i
\(370\) 3.02406e11 − 7.07513e11i 0.838845 − 1.96258i
\(371\) 9.63340e10 + 1.74821e10i 0.263996 + 0.0479082i
\(372\) −1.80009e10 − 1.30785e10i −0.0487363 − 0.0354090i
\(373\) 5.12650e11 − 4.61394e10i 1.37130 − 0.123419i 0.620632 − 0.784102i \(-0.286876\pi\)
0.750665 + 0.660683i \(0.229733\pi\)
\(374\) −7.69714e10 − 1.80084e11i −0.203426 − 0.475940i
\(375\) −1.15379e11 − 5.05509e11i −0.301291 − 1.32004i
\(376\) −1.23948e11 − 1.87774e11i −0.319812 − 0.484495i
\(377\) −3.22579e11 − 1.92732e11i −0.822431 − 0.491380i
\(378\) 2.11207e11 + 2.64845e11i 0.532103 + 0.667236i
\(379\) 4.32997e10 − 3.78298e10i 0.107797 − 0.0941798i −0.602353 − 0.798230i \(-0.705770\pi\)
0.710150 + 0.704050i \(0.248627\pi\)
\(380\) −8.08977e10 + 5.87756e10i −0.199026 + 0.144601i
\(381\) 1.75606e11 − 8.45673e10i 0.426949 − 0.205608i
\(382\) 3.18405e11 − 4.82363e11i 0.765059 − 1.15902i
\(383\) −2.07105e11 − 7.77279e10i −0.491809 − 0.184579i 0.0931335 − 0.995654i \(-0.470312\pi\)
−0.584943 + 0.811074i \(0.698883\pi\)
\(384\) −2.36166e11 + 1.41103e11i −0.554277 + 0.331165i
\(385\) 6.61423e11 + 3.18525e11i 1.53428 + 0.738873i
\(386\) 4.45532e11 − 8.08521e10i 1.02149 − 0.185374i
\(387\) −5.08062e10 + 2.22597e11i −0.115138 + 0.504451i
\(388\) −2.45876e10 + 9.22789e9i −0.0550774 + 0.0206709i
\(389\) 1.41027e11 − 1.76842e11i 0.312269 − 0.391573i −0.600786 − 0.799410i \(-0.705146\pi\)
0.913055 + 0.407837i \(0.133717\pi\)
\(390\) 2.30186e10 + 5.12548e11i 0.0503834 + 1.12187i
\(391\) −5.25053e9 − 1.16912e11i −0.0113608 − 0.252967i
\(392\) 7.92820e10 − 9.94165e10i 0.169585 − 0.212653i
\(393\) 1.15408e11 − 4.33133e10i 0.244044 − 0.0915914i
\(394\) 2.05014e11 − 8.98224e11i 0.428598 − 1.87781i
\(395\) 1.18292e12 − 2.14668e11i 2.44494 − 0.443691i
\(396\) 2.47995e10 + 1.19428e10i 0.0506775 + 0.0244050i
\(397\) −7.13353e11 + 4.26209e11i −1.44128 + 0.861122i −0.999354 − 0.0359313i \(-0.988560\pi\)
−0.441922 + 0.897054i \(0.645703\pi\)
\(398\) 1.30854e11 + 4.91102e10i 0.261404 + 0.0981066i
\(399\) −2.44060e11 + 3.69736e11i −0.482080 + 0.730320i
\(400\) 1.12399e12 − 5.41284e11i 2.19529 − 1.05720i
\(401\) −4.69424e11 + 3.41057e11i −0.906600 + 0.658684i −0.940153 − 0.340753i \(-0.889318\pi\)
0.0335524 + 0.999437i \(0.489318\pi\)
\(402\) −9.33115e10 + 8.15238e10i −0.178204 + 0.155692i
\(403\) 4.47184e11 + 5.60751e11i 0.844527 + 1.05900i
\(404\) −3.73946e10 − 2.23423e10i −0.0698382 − 0.0417264i
\(405\) 4.58438e10 + 6.94504e10i 0.0846707 + 0.128271i
\(406\) −1.00630e11 − 4.40889e11i −0.183806 − 0.805309i
\(407\) −2.74974e11 − 6.43333e11i −0.496725 − 1.16215i
\(408\) −1.40551e11 + 1.26498e10i −0.251109 + 0.0226003i
\(409\) −4.04426e11 − 2.93833e11i −0.714635 − 0.519213i 0.170030 − 0.985439i \(-0.445613\pi\)
−0.884666 + 0.466226i \(0.845613\pi\)
\(410\) 6.75053e11 + 1.22504e11i 1.17981 + 0.214103i
\(411\) −1.63370e11 + 3.82223e11i −0.282413 + 0.660737i
\(412\) 2.13822e10 − 6.58075e10i 0.0365607 − 0.112522i
\(413\) −1.88488e11 − 3.50269e11i −0.318792 − 0.592415i
\(414\) 1.58663e11 + 1.65948e11i 0.265445 + 0.277633i
\(415\) 1.44753e11 − 2.68997e11i 0.239559 − 0.445175i
\(416\) −9.23654e10 + 2.54912e10i −0.151213 + 0.0417321i
\(417\) −6.01644e10 − 4.44152e11i −0.0974378 − 0.719315i
\(418\) −1.70364e11 + 1.25768e12i −0.272950 + 2.01500i
\(419\) −1.04503e12 − 2.88411e11i −1.65641 − 0.457140i −0.692074 − 0.721827i \(-0.743303\pi\)
−0.964334 + 0.264687i \(0.914731\pi\)
\(420\) −3.05695e10 + 3.19732e10i −0.0479366 + 0.0501377i
\(421\) −3.80705e11 − 1.17169e12i −0.590634 − 1.81779i −0.575357 − 0.817902i \(-0.695137\pi\)
−0.0152771 − 0.999883i \(-0.504863\pi\)
\(422\) 1.02298e12 + 9.20696e10i 1.57022 + 0.141322i
\(423\) 1.96984e11 + 1.72100e11i 0.299157 + 0.261366i
\(424\) 9.06751e9 − 2.01904e11i 0.0136252 − 0.303388i
\(425\) 6.86033e11 1.01999
\(426\) 6.03627e10 + 4.09717e11i 0.0888026 + 0.602755i
\(427\) −8.06771e11 −1.17442
\(428\) −2.69635e9 + 6.00389e10i −0.00388400 + 0.0864839i
\(429\) 3.51326e11 + 3.06944e11i 0.500786 + 0.437524i
\(430\) −1.04694e12 − 9.42264e10i −1.47677 − 0.132912i
\(431\) 1.88155e11 + 5.79082e11i 0.262645 + 0.808337i 0.992227 + 0.124444i \(0.0397146\pi\)
−0.729582 + 0.683893i \(0.760285\pi\)
\(432\) 5.20755e11 − 5.44667e11i 0.719377 − 0.752410i
\(433\) 1.88034e11 + 5.18940e10i 0.257063 + 0.0709450i 0.392193 − 0.919883i \(-0.371717\pi\)
−0.135130 + 0.990828i \(0.543145\pi\)
\(434\) −1.15865e11 + 8.55351e11i −0.156765 + 1.15729i
\(435\) 1.00159e11 + 7.39402e11i 0.134118 + 0.990100i
\(436\) −2.49912e10 + 6.89713e9i −0.0331206 + 0.00914070i
\(437\) −3.59387e11 + 6.67853e11i −0.471407 + 0.876021i
\(438\) −5.15539e11 − 5.39212e11i −0.669311 − 0.700045i
\(439\) −6.97495e11 − 1.29616e12i −0.896295 − 1.66559i −0.734324 − 0.678799i \(-0.762501\pi\)
−0.161971 − 0.986795i \(-0.551785\pi\)
\(440\) 4.68294e11 − 1.44126e12i 0.595636 − 1.83318i
\(441\) −5.81019e10 + 1.35936e11i −0.0731504 + 0.171144i
\(442\) −3.74278e11 − 6.79215e10i −0.466438 − 0.0846461i
\(443\) −9.03282e11 − 6.56273e11i −1.11431 − 0.809595i −0.130974 − 0.991386i \(-0.541811\pi\)
−0.983337 + 0.181791i \(0.941811\pi\)
\(444\) 4.19876e10 − 3.77895e9i 0.0512740 − 0.00461475i
\(445\) 4.49934e11 + 1.05267e12i 0.543913 + 1.27255i
\(446\) −9.11676e9 − 3.99431e10i −0.0109102 − 0.0478008i
\(447\) −4.55793e10 − 6.90497e10i −0.0539987 − 0.0818046i
\(448\) 5.64451e11 + 3.37244e11i 0.662026 + 0.395542i
\(449\) 5.82184e11 + 7.30035e11i 0.676008 + 0.847687i 0.994980 − 0.100077i \(-0.0319091\pi\)
−0.318972 + 0.947764i \(0.603338\pi\)
\(450\) −1.01354e12 + 8.85506e11i −1.16516 + 1.01797i
\(451\) 5.04700e11 − 3.66686e11i 0.574432 − 0.417349i
\(452\) 8.21781e10 − 3.95749e10i 0.0926047 − 0.0445961i
\(453\) 3.36554e11 − 5.09857e11i 0.375502 − 0.568862i
\(454\) 3.16488e11 + 1.18780e11i 0.349628 + 0.131217i
\(455\) 1.22407e12 − 7.31345e11i 1.33892 − 0.799966i
\(456\) 8.23954e11 + 3.96795e11i 0.892403 + 0.429759i
\(457\) −5.30707e11 + 9.63091e10i −0.569156 + 0.103287i −0.455504 − 0.890234i \(-0.650541\pi\)
−0.113653 + 0.993521i \(0.536255\pi\)
\(458\) 1.11800e11 − 4.89826e11i 0.118726 − 0.520172i
\(459\) 3.87966e11 − 1.45606e11i 0.407978 − 0.153117i
\(460\) −4.72148e10 + 5.92055e10i −0.0491663 + 0.0616527i
\(461\) 7.07242e10 + 1.57480e12i 0.0729313 + 1.62394i 0.618437 + 0.785834i \(0.287766\pi\)
−0.545506 + 0.838107i \(0.683662\pi\)
\(462\) 2.51893e10 + 5.60883e11i 0.0257233 + 0.572774i
\(463\) −1.11354e11 + 1.39634e11i −0.112614 + 0.141214i −0.834944 − 0.550335i \(-0.814500\pi\)
0.722330 + 0.691549i \(0.243071\pi\)
\(464\) −9.41844e11 + 3.53480e11i −0.943296 + 0.354025i
\(465\) 3.16910e11 − 1.38847e12i 0.314338 − 1.37721i
\(466\) 2.96702e10 − 5.38436e9i 0.0291464 − 0.00528929i
\(467\) −5.13810e11 − 2.47438e11i −0.499892 − 0.240735i 0.166907 − 0.985973i \(-0.446622\pi\)
−0.666799 + 0.745237i \(0.732336\pi\)
\(468\) 4.58954e10 − 2.74212e10i 0.0442245 − 0.0264229i
\(469\) 3.22405e11 + 1.21001e11i 0.307697 + 0.115481i
\(470\) −6.63427e11 + 1.00505e12i −0.627123 + 0.950051i
\(471\) 2.55412e11 − 1.23000e11i 0.239137 − 0.115162i
\(472\) −6.64276e11 + 4.82625e11i −0.616041 + 0.447580i
\(473\) −7.19799e11 + 6.28870e11i −0.661205 + 0.577678i
\(474\) 5.73272e11 + 7.18860e11i 0.521625 + 0.654097i
\(475\) −3.81651e12 − 2.28026e12i −3.43990 − 2.05524i
\(476\) −1.80676e10 − 2.73712e10i −0.0161313 − 0.0244378i
\(477\) 5.22851e10 + 2.29076e11i 0.0462429 + 0.202603i
\(478\) −4.57964e11 − 1.07146e12i −0.401241 − 0.938751i
\(479\) 4.79502e11 − 4.31560e10i 0.416179 − 0.0374568i 0.120429 − 0.992722i \(-0.461573\pi\)
0.295751 + 0.955265i \(0.404430\pi\)
\(480\) 1.53927e11 + 1.11834e11i 0.132351 + 0.0961590i
\(481\) −1.33708e12 − 2.42643e11i −1.13895 − 0.206688i
\(482\) −6.42292e11 + 1.50272e12i −0.542027 + 1.26814i
\(483\) −1.03676e11 + 3.19083e11i −0.0866797 + 0.266773i
\(484\) 1.04557e10 + 1.94299e10i 0.00866062 + 0.0160941i
\(485\) −1.16165e12 − 1.21499e12i −0.953319 − 0.997094i
\(486\) −6.17954e11 + 1.14835e12i −0.502450 + 0.933709i
\(487\) 9.26081e11 − 2.55582e11i 0.746051 − 0.205897i 0.127715 − 0.991811i \(-0.459236\pi\)
0.618336 + 0.785914i \(0.287807\pi\)
\(488\) 2.23551e11 + 1.65032e12i 0.178438 + 1.31728i
\(489\) −3.41890e10 + 2.52394e11i −0.0270394 + 0.199613i
\(490\) −6.56082e11 − 1.81067e11i −0.514134 − 0.141892i
\(491\) −4.24512e11 + 4.44005e11i −0.329628 + 0.344763i −0.866752 − 0.498740i \(-0.833796\pi\)
0.537124 + 0.843503i \(0.319511\pi\)
\(492\) 1.16161e10 + 3.57506e10i 0.00893751 + 0.0275068i
\(493\) −5.50979e11 − 4.95890e10i −0.420072 − 0.0378072i
\(494\) 1.85641e12 + 1.62190e12i 1.40250 + 1.22533i
\(495\) −7.90436e10 + 1.76004e12i −0.0591757 + 1.31765i
\(496\) 1.92013e12 1.42450
\(497\) 9.23222e11 − 6.87314e11i 0.678738 − 0.505302i
\(498\) 2.33620e11 0.170207
\(499\) −5.24348e10 + 1.16755e12i −0.0378588 + 0.842993i 0.886790 + 0.462172i \(0.152930\pi\)
−0.924649 + 0.380820i \(0.875642\pi\)
\(500\) −1.87328e11 − 1.63663e11i −0.134041 − 0.117108i
\(501\) 1.18505e12 + 1.06656e11i 0.840361 + 0.0756339i
\(502\) 2.64317e11 + 8.13483e11i 0.185762 + 0.571718i
\(503\) −1.14327e12 + 1.19576e12i −0.796326 + 0.832892i −0.988930 − 0.148385i \(-0.952593\pi\)
0.192603 + 0.981277i \(0.438307\pi\)
\(504\) −7.41695e11 − 2.04695e11i −0.512021 − 0.141309i
\(505\) 3.74267e11 − 2.76295e12i 0.256077 − 1.89044i
\(506\) 1.29017e11 + 9.52443e11i 0.0874923 + 0.645894i
\(507\) 3.15896e10 − 8.71818e9i 0.0212329 − 0.00585990i
\(508\) 4.43095e10 − 8.23409e10i 0.0295196 − 0.0548566i
\(509\) −1.35327e12 − 1.41540e12i −0.893620 − 0.934653i 0.104586 − 0.994516i \(-0.466648\pi\)
−0.998207 + 0.0598624i \(0.980934\pi\)
\(510\) 3.57928e11 + 6.65142e11i 0.234277 + 0.435360i
\(511\) −6.40685e11 + 1.97183e12i −0.415672 + 1.27931i
\(512\) 5.26192e11 − 1.23109e12i 0.338400 − 0.791725i
\(513\) −2.64229e12 − 4.79505e11i −1.68443 − 0.305679i
\(514\) −2.75682e11 − 2.00295e11i −0.174211 − 0.126571i
\(515\) 4.41107e12 − 3.97004e11i 2.76320 − 0.248692i
\(516\) −2.26359e10 − 5.29593e10i −0.0140564 − 0.0328866i
\(517\) 2.43666e11 + 1.06757e12i 0.149999 + 0.657187i
\(518\) −9.00945e11 − 1.36487e12i −0.549812 − 0.832929i
\(519\) −9.26404e11 − 5.53500e11i −0.560463 − 0.334861i
\(520\) −1.83521e12 − 2.30128e12i −1.10071 − 1.38024i
\(521\) −8.08910e11 + 7.06723e11i −0.480984 + 0.420223i −0.863979 − 0.503527i \(-0.832035\pi\)
0.382995 + 0.923750i \(0.374892\pi\)
\(522\) 8.78023e11 − 6.37921e11i 0.517593 − 0.376053i
\(523\) 2.16727e12 − 1.04370e12i 1.26665 − 0.609984i 0.324721 − 0.945810i \(-0.394729\pi\)
0.941924 + 0.335825i \(0.109015\pi\)
\(524\) 3.25785e10 − 4.93543e10i 0.0188773 − 0.0285979i
\(525\) −1.84132e12 − 6.91060e11i −1.05782 − 0.397008i
\(526\) 1.66094e12 − 9.92366e11i 0.946059 − 0.565244i
\(527\) 9.51333e11 + 4.58138e11i 0.537260 + 0.258731i
\(528\) 1.22888e12 − 2.23009e11i 0.688110 − 0.124874i
\(529\) 2.72990e11 − 1.19605e12i 0.151564 − 0.664045i
\(530\) −1.01279e12 + 3.80106e11i −0.557543 + 0.209249i
\(531\) 5.95176e11 − 7.46327e11i 0.324878 − 0.407384i
\(532\) 9.53548e9 + 2.12324e11i 0.00516108 + 0.114920i
\(533\) −5.43629e10 − 1.21048e12i −0.0291763 − 0.649661i
\(534\) −5.45881e11 + 6.84514e11i −0.290511 + 0.364289i
\(535\) −3.60149e12 + 1.35166e12i −1.90060 + 0.713305i
\(536\) 1.58181e11 − 6.93036e11i 0.0827775 − 0.362672i
\(537\) 1.55246e11 − 2.81730e10i 0.0805632 − 0.0146201i
\(538\) −1.48527e12 − 7.15269e11i −0.764338 − 0.368086i
\(539\) −5.31268e11 + 3.17418e11i −0.271122 + 0.161988i
\(540\) −2.51042e11 − 9.42176e10i −0.127050 − 0.0476826i
\(541\) 1.07395e12 − 1.62696e12i 0.539008 − 0.816562i −0.458383 − 0.888755i \(-0.651571\pi\)
0.997391 + 0.0721926i \(0.0229996\pi\)
\(542\) 3.18611e12 − 1.53435e12i 1.58586 − 0.763709i
\(543\) −1.07343e12 + 7.79890e11i −0.529874 + 0.384976i
\(544\) −1.06231e11 + 9.28112e10i −0.0520063 + 0.0454365i
\(545\) −1.03463e12 − 1.29738e12i −0.502341 − 0.629916i
\(546\) 9.36149e11 + 5.59323e11i 0.450794 + 0.269337i
\(547\) −1.28219e12 − 1.94244e12i −0.612364 − 0.927692i −0.999983 − 0.00587252i \(-0.998131\pi\)
0.387618 − 0.921820i \(-0.373298\pi\)
\(548\) 4.43744e10 + 1.94417e11i 0.0210194 + 0.0920920i
\(549\) −7.60960e11 − 1.78035e12i −0.357508 − 0.836432i
\(550\) −5.61156e12 + 5.05049e11i −2.61488 + 0.235343i
\(551\) 2.90036e12 + 2.10724e12i 1.34051 + 0.973937i
\(552\) 6.81440e11 + 1.23663e11i 0.312393 + 0.0566910i
\(553\) 1.00431e12 − 2.34971e12i 0.456674 − 1.06844i
\(554\) 1.13597e12 − 3.49615e12i 0.512356 − 1.57687i
\(555\) 1.27867e12 + 2.37616e12i 0.572057 + 1.06306i
\(556\) −1.48596e11 − 1.55419e11i −0.0659433 − 0.0689712i
\(557\) 7.66575e11 − 1.42453e12i 0.337447 − 0.627082i −0.654162 − 0.756355i \(-0.726978\pi\)
0.991609 + 0.129272i \(0.0412642\pi\)
\(558\) −1.99684e12 + 5.51094e11i −0.871947 + 0.240642i
\(559\) 2.49205e11 + 1.83970e12i 0.107945 + 0.796883i
\(560\) 5.12417e11 − 3.78281e12i 0.220180 − 1.62543i
\(561\) 6.62064e11 + 1.82718e11i 0.282207 + 0.0778840i
\(562\) −1.52100e12 + 1.59084e12i −0.643154 + 0.672686i
\(563\) 1.05625e12 + 3.25080e12i 0.443076 + 1.36365i 0.884580 + 0.466388i \(0.154445\pi\)
−0.441504 + 0.897259i \(0.645555\pi\)
\(564\) −6.57164e10 − 5.91459e9i −0.0273475 − 0.00246132i
\(565\) 4.39653e12 + 3.84113e12i 1.81506 + 1.58577i
\(566\) −1.01072e11 + 2.25053e12i −0.0413957 + 0.921747i
\(567\) 1.76876e11 0.0718695
\(568\) −1.66178e12 − 1.69808e12i −0.669893 − 0.684527i
\(569\) 4.57320e12 1.82901 0.914503 − 0.404580i \(-0.132582\pi\)
0.914503 + 0.404580i \(0.132582\pi\)
\(570\) 2.19610e11 − 4.88999e12i 0.0871394 − 1.94031i
\(571\) 2.41656e12 + 2.11128e12i 0.951338 + 0.831159i 0.985745 − 0.168249i \(-0.0538112\pi\)
−0.0344063 + 0.999408i \(0.510954\pi\)
\(572\) 2.22911e11 + 2.00624e10i 0.0870662 + 0.00783610i
\(573\) 6.26358e11 + 1.92773e12i 0.242732 + 0.747052i
\(574\) 1.00774e12 − 1.05402e12i 0.387477 − 0.405269i
\(575\) −3.24551e12 − 8.95704e11i −1.23816 − 0.341711i
\(576\) −2.11818e11 + 1.56370e12i −0.0801792 + 0.591906i
\(577\) 1.68243e11 + 1.24202e12i 0.0631896 + 0.466485i 0.994704 + 0.102780i \(0.0327738\pi\)
−0.931514 + 0.363704i \(0.881512\pi\)
\(578\) 2.14476e12 − 5.91916e11i 0.799288 − 0.220589i
\(579\) −7.52494e11 + 1.39837e12i −0.278259 + 0.517092i
\(580\) 2.47375e11 + 2.58734e11i 0.0907675 + 0.0949354i
\(581\) −3.07671e11 − 5.71748e11i −0.112020 − 0.208167i
\(582\) 3.97266e11 − 1.22266e12i 0.143525 − 0.441725i
\(583\) −3.86595e11 + 9.04484e11i −0.138595 + 0.324259i
\(584\) 4.21107e12 + 7.64197e11i 1.49808 + 0.271861i
\(585\) 2.76847e12 + 2.01141e12i 0.977322 + 0.710066i
\(586\) −2.99605e12 + 2.69649e11i −1.04957 + 0.0944626i
\(587\) 1.86256e11 + 4.35769e11i 0.0647500 + 0.151490i 0.948778 − 0.315944i \(-0.102321\pi\)
−0.884028 + 0.467434i \(0.845178\pi\)
\(588\) −8.29797e9 − 3.63558e10i −0.00286269 − 0.0125423i
\(589\) −3.76965e12 − 5.71077e12i −1.29057 − 1.95513i
\(590\) 3.77275e12 + 2.25411e12i 1.28181 + 0.765846i
\(591\) 2.01452e12 + 2.52613e12i 0.679247 + 0.851749i
\(592\) −2.73969e12 + 2.39359e12i −0.916755 + 0.800944i
\(593\) −2.21741e12 + 1.61105e12i −0.736378 + 0.535010i −0.891575 − 0.452874i \(-0.850399\pi\)
0.155197 + 0.987884i \(0.450399\pi\)
\(594\) −3.06626e12 + 1.47663e12i −1.01058 + 0.486669i
\(595\) 1.15645e12 − 1.75195e12i 0.378269 − 0.573052i
\(596\) −3.71614e10 − 1.39469e10i −0.0120638 − 0.00452762i
\(597\) −4.20771e11 + 2.51399e11i −0.135569 + 0.0809989i
\(598\) 1.68197e12 + 8.09994e11i 0.537852 + 0.259016i
\(599\) −4.41479e12 + 8.01166e11i −1.40117 + 0.254274i −0.825957 − 0.563733i \(-0.809365\pi\)
−0.575208 + 0.818007i \(0.695079\pi\)
\(600\) −9.03405e11 + 3.95808e12i −0.284578 + 1.24682i
\(601\) 1.72880e12 − 6.48830e11i 0.540517 − 0.202860i −0.0661581 − 0.997809i \(-0.521074\pi\)
0.606675 + 0.794950i \(0.292503\pi\)
\(602\) −1.39303e12 + 1.74681e12i −0.432292 + 0.542077i
\(603\) 3.70778e10 + 8.25601e11i 0.0114205 + 0.254298i
\(604\) −1.31492e10 − 2.92790e11i −0.00402007 − 0.0895139i
\(605\) −8.80545e11 + 1.10417e12i −0.267210 + 0.335070i
\(606\) 1.99640e12 − 7.49260e11i 0.601340 − 0.225687i
\(607\) −5.14264e11 + 2.25314e12i −0.153758 + 0.673656i 0.838015 + 0.545647i \(0.183716\pi\)
−0.991773 + 0.128009i \(0.959141\pi\)
\(608\) 8.99469e11 − 1.63230e11i 0.266944 − 0.0484432i
\(609\) 1.42888e12 + 6.88114e11i 0.420939 + 0.202714i
\(610\) 7.65215e12 − 4.57195e12i 2.23769 − 1.33696i
\(611\) 1.99127e12 + 7.47336e11i 0.578022 + 0.216935i
\(612\) 4.33601e10 − 6.56878e10i 0.0124942 − 0.0189279i
\(613\) 1.25808e12 − 6.05862e11i 0.359863 − 0.173301i −0.245212 − 0.969470i \(-0.578857\pi\)
0.605075 + 0.796169i \(0.293143\pi\)
\(614\) 3.99621e12 − 2.90341e12i 1.13472 − 0.824425i
\(615\) −1.81193e12 + 1.58303e12i −0.510743 + 0.446223i
\(616\) −2.00828e12 − 2.51830e12i −0.561966 − 0.704683i
\(617\) 3.55512e12 + 2.12408e12i 0.987576 + 0.590049i 0.913343 − 0.407192i \(-0.133492\pi\)
0.0742334 + 0.997241i \(0.476349\pi\)
\(618\) 1.86598e12 + 2.82684e12i 0.514587 + 0.779565i
\(619\) −1.33421e12 − 5.84558e12i −0.365273 − 1.60037i −0.739585 − 0.673064i \(-0.764978\pi\)
0.374311 − 0.927303i \(-0.377879\pi\)
\(620\) −2.68531e11 − 6.28260e11i −0.0729848 − 0.170756i
\(621\) −2.02551e12 + 1.82300e11i −0.546542 + 0.0491896i
\(622\) −4.35020e12 − 3.16060e12i −1.16534 − 0.846669i
\(623\) 2.39415e12 + 4.34474e11i 0.636729 + 0.115549i
\(624\) 9.53428e11 − 2.23065e12i 0.251743 − 0.588982i
\(625\) 2.23880e12 − 6.89032e12i 0.586888 − 1.80626i
\(626\) 6.76844e11 + 1.25779e12i 0.176159 + 0.327358i
\(627\) −3.07585e12 − 3.21708e12i −0.794805 − 0.831301i
\(628\) 6.44465e10 − 1.19762e11i 0.0165341 − 0.0307255i
\(629\) −1.92849e12 + 5.32230e11i −0.491236 + 0.135572i
\(630\) 5.52812e11 + 4.08102e12i 0.139812 + 1.03213i
\(631\) 3.24184e11 − 2.39322e12i 0.0814065 − 0.600967i −0.903591 − 0.428397i \(-0.859079\pi\)
0.984997 − 0.172570i \(-0.0552071\pi\)
\(632\) −5.08482e12 − 1.40332e12i −1.26780 − 0.349889i
\(633\) −2.48923e12 + 2.60353e12i −0.616238 + 0.644534i
\(634\) 8.14372e11 + 2.50638e12i 0.200180 + 0.616091i
\(635\) 5.96093e12 + 5.36494e11i 1.45490 + 0.130943i
\(636\) −4.46348e10 − 3.89963e10i −0.0108173 − 0.00945075i
\(637\) −5.39295e10 + 1.20083e12i −0.0129777 + 0.288972i
\(638\) 4.54336e12 1.08564
\(639\) 2.38754e12 + 1.38905e12i 0.566495 + 0.329582i
\(640\) −8.44774e12 −1.99035
\(641\) 3.00214e11 − 6.68478e12i 0.0702376 − 1.56396i −0.586566 − 0.809901i \(-0.699521\pi\)
0.656804 − 0.754061i \(-0.271908\pi\)
\(642\) −2.21551e12 − 1.93563e12i −0.514714 − 0.449692i
\(643\) 2.44350e12 + 2.19919e11i 0.563719 + 0.0507356i 0.367834 − 0.929891i \(-0.380099\pi\)
0.195885 + 0.980627i \(0.437242\pi\)
\(644\) 4.97381e10 + 1.53078e11i 0.0113947 + 0.0350693i
\(645\) 2.54754e12 − 2.66452e12i 0.579566 − 0.606178i
\(646\) 3.49835e12 + 9.65485e11i 0.790346 + 0.218122i
\(647\) −6.50349e11 + 4.80107e12i −0.145907 + 1.07713i 0.758868 + 0.651244i \(0.225753\pi\)
−0.904776 + 0.425888i \(0.859962\pi\)
\(648\) −4.90112e10 − 3.61815e11i −0.0109196 − 0.0806119i
\(649\) 3.85217e12 − 1.06313e12i 0.852323 − 0.235226i
\(650\) −5.18578e12 + 9.63680e12i −1.13947 + 2.11750i
\(651\) −2.09190e12 − 2.18795e12i −0.456484 − 0.477445i
\(652\) 5.79022e10 + 1.07600e11i 0.0125482 + 0.0233184i
\(653\) −1.21797e12 + 3.74853e12i −0.262136 + 0.806773i 0.730203 + 0.683230i \(0.239426\pi\)
−0.992339 + 0.123542i \(0.960574\pi\)
\(654\) 4.98786e11 − 1.16697e12i 0.106614 − 0.249436i
\(655\) 3.72436e12 + 6.75872e11i 0.790616 + 0.143476i
\(656\) −2.62438e12 − 1.90672e12i −0.553298 − 0.401995i
\(657\) −4.95566e12 + 4.46018e11i −1.03767 + 0.0933916i
\(658\) 1.00601e12 + 2.35367e12i 0.209211 + 0.489473i
\(659\) 2.31385e10 + 1.01376e11i 0.00477915 + 0.0209388i 0.977261 − 0.212039i \(-0.0680103\pi\)
−0.972482 + 0.232978i \(0.925153\pi\)
\(660\) −2.44828e11 − 3.70899e11i −0.0502243 − 0.0760866i
\(661\) 8.10425e12 + 4.84206e12i 1.65123 + 0.986561i 0.966112 + 0.258125i \(0.0831046\pi\)
0.685114 + 0.728436i \(0.259753\pi\)
\(662\) −2.05838e12 − 2.58112e12i −0.416547 − 0.522333i
\(663\) 1.00461e12 − 8.77700e11i 0.201923 − 0.176415i
\(664\) −1.08431e12 + 7.87796e11i −0.216469 + 0.157274i
\(665\) −1.22567e13 + 5.90251e12i −2.43039 + 1.17041i
\(666\) 2.16217e12 − 3.27554e12i 0.425848 − 0.645133i
\(667\) 2.54185e12 + 9.53972e11i 0.497260 + 0.186625i
\(668\) 4.90018e11 − 2.92772e11i 0.0952177 − 0.0568900i
\(669\) 1.29452e11 + 6.23409e10i 0.0249857 + 0.0120325i
\(670\) −3.74369e12 + 6.79379e11i −0.717733 + 0.130249i
\(671\) 1.80361e12 − 7.90211e12i 0.343471 − 1.50485i
\(672\) 3.78617e11 − 1.42097e11i 0.0716206 − 0.0268797i
\(673\) 3.33988e12 − 4.18808e12i 0.627571 − 0.786950i −0.361816 − 0.932249i \(-0.617843\pi\)
0.989388 + 0.145300i \(0.0464146\pi\)
\(674\) −1.17017e11 − 2.60558e12i −0.0218413 − 0.486334i
\(675\) −5.34861e11 − 1.19096e13i −0.0991686 − 2.20816i
\(676\) 9.80219e9 − 1.22916e10i 0.00180536 − 0.00226385i
\(677\) −6.65810e12 + 2.49883e12i −1.21815 + 0.457180i −0.875930 − 0.482439i \(-0.839751\pi\)
−0.342222 + 0.939619i \(0.611180\pi\)
\(678\) −9.93538e11 + 4.35297e12i −0.180572 + 0.791138i
\(679\) −3.51545e12 + 6.37960e11i −0.634698 + 0.115181i
\(680\) −3.90420e12 − 1.88017e12i −0.700233 − 0.337214i
\(681\) −1.01769e12 + 6.08044e11i −0.181324 + 0.108336i
\(682\) −8.11891e12 − 3.04708e12i −1.43704 − 0.539329i
\(683\) −2.79136e11 + 4.22873e11i −0.0490821 + 0.0743562i −0.858286 − 0.513172i \(-0.828470\pi\)
0.809204 + 0.587528i \(0.199899\pi\)
\(684\) −4.59555e11 + 2.21310e11i −0.0802759 + 0.0386588i
\(685\) −1.03263e13 + 7.50253e12i −1.79200 + 1.30197i
\(686\) −4.92558e12 + 4.30335e12i −0.849179 + 0.741905i
\(687\) 1.09857e12 + 1.37757e12i 0.188158 + 0.235943i
\(688\) 4.26661e12 + 2.54918e12i 0.725998 + 0.433764i
\(689\) 1.05251e12 + 1.59449e12i 0.177927 + 0.269547i
\(690\) −8.24873e11 − 3.61400e12i −0.138537 − 0.606970i
\(691\) 3.71260e12 + 8.68605e12i 0.619479 + 1.44934i 0.875763 + 0.482741i \(0.160359\pi\)
−0.256284 + 0.966601i \(0.582498\pi\)
\(692\) −5.15637e11 + 4.64082e10i −0.0854804 + 0.00769337i
\(693\) 3.02954e12 + 2.20109e12i 0.498973 + 0.362525i
\(694\) 4.25622e12 + 7.72389e11i 0.696476 + 0.126392i
\(695\) 5.40925e12 − 1.26556e13i 0.879438 − 2.05755i
\(696\) 1.01166e12 − 3.11358e12i 0.163416 − 0.502943i
\(697\) −8.45318e11 − 1.57086e12i −0.135667 − 0.252111i
\(698\) −7.93953e12 − 8.30409e12i −1.26603 − 1.32417i
\(699\) −5.01124e10 + 9.31245e10i −0.00793959 + 0.0147542i
\(700\) −9.09527e11 + 2.51013e11i −0.143177 + 0.0395144i
\(701\) 1.35031e12 + 9.96840e12i 0.211204 + 1.55917i 0.717342 + 0.696721i \(0.245359\pi\)
−0.506138 + 0.862453i \(0.668927\pi\)
\(702\) −8.87321e11 + 6.55047e12i −0.137900 + 1.01802i
\(703\) 1.24976e13 + 3.44911e12i 1.92986 + 0.532608i
\(704\) −4.56509e12 + 4.77471e12i −0.700442 + 0.732605i
\(705\) −1.30507e12 − 4.01661e12i −0.198968 − 0.612362i
\(706\) −2.68794e12 − 2.41919e11i −0.407191 − 0.0366479i
\(707\) −4.46289e12 − 3.89911e12i −0.671783 − 0.586919i
\(708\) −1.08032e10 + 2.40552e11i −0.00161586 + 0.0359799i
\(709\) −8.05944e12 −1.19783 −0.598917 − 0.800811i \(-0.704402\pi\)
−0.598917 + 0.800811i \(0.704402\pi\)
\(710\) −4.86169e12 + 1.17510e13i −0.718000 + 1.73545i
\(711\) 6.13254e12 0.899968
\(712\) 2.25351e11 − 5.01783e12i 0.0328624 − 0.731739i
\(713\) −3.90244e12 − 3.40946e12i −0.565502 − 0.494064i
\(714\) 1.59899e12 + 1.43911e11i 0.230252 + 0.0207230i
\(715\) 4.42683e12 + 1.36244e13i 0.633455 + 1.94957i
\(716\) 5.23100e10 − 5.47119e10i 0.00743834 − 0.00777989i
\(717\) 3.93914e12 + 1.08713e12i 0.556628 + 0.153620i
\(718\) 5.78027e10 − 4.26717e11i 0.00811686 − 0.0599211i
\(719\) −6.59291e11 − 4.86708e12i −0.0920020 − 0.679186i −0.976946 − 0.213488i \(-0.931518\pi\)
0.884944 − 0.465698i \(-0.154197\pi\)
\(720\) 8.83109e12 − 2.43723e12i 1.22467 − 0.337987i
\(721\) 4.46080e12 − 8.28955e12i 0.614757 − 1.14241i
\(722\) −1.10159e13 − 1.15217e13i −1.50870 − 1.57797i
\(723\) −2.71582e12 − 5.04684e12i −0.369640 − 0.686906i
\(724\) −1.96701e11 + 6.05384e11i −0.0266062 + 0.0818856i
\(725\) −6.25508e12 + 1.46345e13i −0.840838 + 1.96724i
\(726\) −1.06274e12 − 1.92859e11i −0.141975 − 0.0257646i
\(727\) −9.50666e12 − 6.90699e12i −1.26219 − 0.917031i −0.263323 − 0.964708i \(-0.584818\pi\)
−0.998863 + 0.0476765i \(0.984818\pi\)
\(728\) −6.23108e12 + 5.60807e11i −0.822190 + 0.0739984i
\(729\) −1.54286e12 − 3.60971e12i −0.202327 − 0.473367i
\(730\) −5.09744e12 − 2.23333e13i −0.664354 − 2.91072i
\(731\) 1.50568e12 + 2.28101e12i 0.195031 + 0.295460i
\(732\) 4.19263e11 + 2.50498e11i 0.0539743 + 0.0322481i
\(733\) −1.20140e12 − 1.50651e12i −0.153717 − 0.192755i 0.699010 − 0.715112i \(-0.253624\pi\)
−0.852727 + 0.522357i \(0.825053\pi\)
\(734\) 4.16093e12 − 3.63529e12i 0.529125 − 0.462282i
\(735\) 1.93102e12 − 1.40297e12i 0.244058 − 0.177318i
\(736\) 6.23738e11 − 3.00376e11i 0.0783524 − 0.0377325i
\(737\) −1.90593e12 + 2.88736e12i −0.237960 + 0.360494i
\(738\) 3.27648e12 + 1.22969e12i 0.406588 + 0.152595i
\(739\) −8.77434e11 + 5.24243e11i −0.108222 + 0.0646595i −0.565990 − 0.824412i \(-0.691506\pi\)
0.457768 + 0.889071i \(0.348649\pi\)
\(740\) 1.16632e12 + 5.61672e11i 0.142980 + 0.0688558i
\(741\) −8.50613e12 + 1.54364e12i −1.03645 + 0.188089i
\(742\) −5.11639e11 + 2.24164e12i −0.0619650 + 0.271486i
\(743\) 4.03855e12 − 1.51569e12i 0.486156 − 0.182457i −0.0962471 − 0.995357i \(-0.530684\pi\)
0.582403 + 0.812900i \(0.302112\pi\)
\(744\) −3.89600e12 + 4.88543e12i −0.466166 + 0.584553i
\(745\) −1.13983e11 − 2.53803e12i −0.0135562 − 0.301851i
\(746\) 5.42321e11 + 1.20757e13i 0.0641109 + 1.42754i
\(747\) 9.71514e11 − 1.21824e12i 0.114158 − 0.143150i
\(748\) 3.08485e11 − 1.15776e11i 0.0360311 − 0.0135227i
\(749\) −1.81939e12 + 7.97127e12i −0.211231 + 0.925464i
\(750\) 1.19811e13 − 2.17425e12i 1.38268 − 0.250919i
\(751\) −4.59041e12 − 2.21063e12i −0.526589 − 0.253592i 0.151649 − 0.988434i \(-0.451542\pi\)
−0.678238 + 0.734842i \(0.737256\pi\)
\(752\) 4.88801e12 − 2.92045e12i