Properties

Label 43.10.c.a.6.12
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.12
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.12

$q$-expansion

\(f(q)\) \(=\) \(q-12.6048 q^{2} +(108.034 - 187.120i) q^{3} -353.118 q^{4} +(242.203 - 419.508i) q^{5} +(-1361.75 + 2358.62i) q^{6} +(-2218.86 - 3843.18i) q^{7} +10904.7 q^{8} +(-13501.1 - 23384.6i) q^{9} +O(q^{10})\) \(q-12.6048 q^{2} +(108.034 - 187.120i) q^{3} -353.118 q^{4} +(242.203 - 419.508i) q^{5} +(-1361.75 + 2358.62i) q^{6} +(-2218.86 - 3843.18i) q^{7} +10904.7 q^{8} +(-13501.1 - 23384.6i) q^{9} +(-3052.92 + 5287.82i) q^{10} -46033.7 q^{11} +(-38148.7 + 66075.6i) q^{12} +(-85447.2 - 147999. i) q^{13} +(27968.3 + 48442.6i) q^{14} +(-52332.2 - 90642.1i) q^{15} +43345.3 q^{16} +(229801. + 398026. i) q^{17} +(170179. + 294759. i) q^{18} +(470311. - 814602. i) q^{19} +(-85526.3 + 148136. i) q^{20} -958848. q^{21} +580246. q^{22} +(-1.06052e6 + 1.83688e6i) q^{23} +(1.17807e6 - 2.04048e6i) q^{24} +(859238. + 1.48824e6i) q^{25} +(1.07705e6 + 1.86550e6i) q^{26} -1.58145e6 q^{27} +(783520. + 1.35710e6i) q^{28} +(-2.59539e6 - 4.49535e6i) q^{29} +(659638. + 1.14253e6i) q^{30} +(-3.99146e6 + 6.91341e6i) q^{31} -6.12955e6 q^{32} +(-4.97319e6 + 8.61382e6i) q^{33} +(-2.89660e6 - 5.01705e6i) q^{34} -2.14966e6 q^{35} +(4.76750e6 + 8.25755e6i) q^{36} +(-6.10681e6 + 1.05773e7i) q^{37} +(-5.92819e6 + 1.02679e7i) q^{38} -3.69248e7 q^{39} +(2.64114e6 - 4.57459e6i) q^{40} +2.75796e6 q^{41} +1.20861e7 q^{42} +(2.20309e7 + 4.15126e6i) q^{43} +1.62553e7 q^{44} -1.30800e7 q^{45} +(1.33677e7 - 2.31535e7i) q^{46} +1.31583e7 q^{47} +(4.68276e6 - 8.11078e6i) q^{48} +(1.03301e7 - 1.78923e7i) q^{49} +(-1.08305e7 - 1.87590e7i) q^{50} +9.93050e7 q^{51} +(3.01730e7 + 5.22612e7i) q^{52} +(-3.41576e7 + 5.91627e7i) q^{53} +1.99339e7 q^{54} +(-1.11495e7 + 1.93115e7i) q^{55} +(-2.41959e7 - 4.19086e7i) q^{56} +(-1.01619e8 - 1.76009e8i) q^{57} +(3.27145e7 + 5.66631e7i) q^{58} -8.27741e7 q^{59} +(1.84795e7 + 3.20074e7i) q^{60} +(-7.34819e7 - 1.27274e8i) q^{61} +(5.03116e7 - 8.71423e7i) q^{62} +(-5.99142e7 + 1.03774e8i) q^{63} +5.50691e7 q^{64} -8.27823e7 q^{65} +(6.26862e7 - 1.08576e8i) q^{66} +(6.55347e7 - 1.13509e8i) q^{67} +(-8.11469e7 - 1.40550e8i) q^{68} +(2.29145e8 + 3.96890e8i) q^{69} +2.70960e7 q^{70} +(7.76902e7 + 1.34563e8i) q^{71} +(-1.47225e8 - 2.55002e8i) q^{72} +(-5.45905e7 - 9.45536e7i) q^{73} +(7.69752e7 - 1.33325e8i) q^{74} +3.71307e8 q^{75} +(-1.66075e8 + 2.87651e8i) q^{76} +(1.02142e8 + 1.76916e8i) q^{77} +4.65430e8 q^{78} +(-1.92321e8 - 3.33110e8i) q^{79} +(1.04984e7 - 1.81837e7i) q^{80} +(9.48921e7 - 1.64358e8i) q^{81} -3.47635e7 q^{82} +(2.60672e7 - 4.51498e7i) q^{83} +3.38587e8 q^{84} +2.22634e8 q^{85} +(-2.77695e8 - 5.23259e7i) q^{86} -1.12156e9 q^{87} -5.01981e8 q^{88} +(1.04411e8 - 1.80846e8i) q^{89} +1.64872e8 q^{90} +(-3.79191e8 + 6.56778e8i) q^{91} +(3.74490e8 - 6.48636e8i) q^{92} +(8.62425e8 + 1.49376e9i) q^{93} -1.65858e8 q^{94} +(-2.27821e8 - 3.94598e8i) q^{95} +(-6.62199e8 + 1.14696e9i) q^{96} +3.56399e8 q^{97} +(-1.30209e8 + 2.25529e8i) q^{98} +(6.21506e8 + 1.07648e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −12.6048 −0.557060 −0.278530 0.960428i \(-0.589847\pi\)
−0.278530 + 0.960428i \(0.589847\pi\)
\(3\) 108.034 187.120i 0.770042 1.33375i −0.167498 0.985872i \(-0.553569\pi\)
0.937540 0.347879i \(-0.113098\pi\)
\(4\) −353.118 −0.689685
\(5\) 242.203 419.508i 0.173306 0.300175i −0.766268 0.642522i \(-0.777888\pi\)
0.939574 + 0.342346i \(0.111222\pi\)
\(6\) −1361.75 + 2358.62i −0.428959 + 0.742979i
\(7\) −2218.86 3843.18i −0.349292 0.604992i 0.636832 0.771003i \(-0.280245\pi\)
−0.986124 + 0.166011i \(0.946911\pi\)
\(8\) 10904.7 0.941255
\(9\) −13501.1 23384.6i −0.685928 1.18806i
\(10\) −3052.92 + 5287.82i −0.0965419 + 0.167216i
\(11\) −46033.7 −0.948000 −0.474000 0.880525i \(-0.657190\pi\)
−0.474000 + 0.880525i \(0.657190\pi\)
\(12\) −38148.7 + 66075.6i −0.531086 + 0.919868i
\(13\) −85447.2 147999.i −0.829761 1.43719i −0.898226 0.439534i \(-0.855143\pi\)
0.0684648 0.997654i \(-0.478190\pi\)
\(14\) 27968.3 + 48442.6i 0.194576 + 0.337016i
\(15\) −52332.2 90642.1i −0.266906 0.462295i
\(16\) 43345.3 0.165349
\(17\) 229801. + 398026.i 0.667315 + 1.15582i 0.978652 + 0.205524i \(0.0658900\pi\)
−0.311337 + 0.950300i \(0.600777\pi\)
\(18\) 170179. + 294759.i 0.382103 + 0.661822i
\(19\) 470311. 814602.i 0.827930 1.43402i −0.0717285 0.997424i \(-0.522852\pi\)
0.899659 0.436593i \(-0.143815\pi\)
\(20\) −85526.3 + 148136.i −0.119527 + 0.207026i
\(21\) −958848. −1.07588
\(22\) 580246. 0.528093
\(23\) −1.06052e6 + 1.83688e6i −0.790214 + 1.36869i 0.135621 + 0.990761i \(0.456697\pi\)
−0.925834 + 0.377929i \(0.876636\pi\)
\(24\) 1.17807e6 2.04048e6i 0.724806 1.25540i
\(25\) 859238. + 1.48824e6i 0.439930 + 0.761981i
\(26\) 1.07705e6 + 1.86550e6i 0.462226 + 0.800599i
\(27\) −1.58145e6 −0.572690
\(28\) 783520. + 1.35710e6i 0.240901 + 0.417253i
\(29\) −2.59539e6 4.49535e6i −0.681416 1.18025i −0.974549 0.224175i \(-0.928031\pi\)
0.293133 0.956072i \(-0.405302\pi\)
\(30\) 659638. + 1.14253e6i 0.148683 + 0.257526i
\(31\) −3.99146e6 + 6.91341e6i −0.776254 + 1.34451i 0.157833 + 0.987466i \(0.449549\pi\)
−0.934087 + 0.357046i \(0.883784\pi\)
\(32\) −6.12955e6 −1.03336
\(33\) −4.97319e6 + 8.61382e6i −0.729999 + 1.26440i
\(34\) −2.89660e6 5.01705e6i −0.371734 0.643863i
\(35\) −2.14966e6 −0.242138
\(36\) 4.76750e6 + 8.25755e6i 0.473074 + 0.819388i
\(37\) −6.10681e6 + 1.05773e7i −0.535681 + 0.927827i 0.463449 + 0.886124i \(0.346612\pi\)
−0.999130 + 0.0417033i \(0.986722\pi\)
\(38\) −5.92819e6 + 1.02679e7i −0.461207 + 0.798833i
\(39\) −3.69248e7 −2.55580
\(40\) 2.64114e6 4.57459e6i 0.163125 0.282542i
\(41\) 2.75796e6 0.152426 0.0762132 0.997092i \(-0.475717\pi\)
0.0762132 + 0.997092i \(0.475717\pi\)
\(42\) 1.20861e7 0.599328
\(43\) 2.20309e7 + 4.15126e6i 0.982706 + 0.185171i
\(44\) 1.62553e7 0.653821
\(45\) −1.30800e7 −0.475503
\(46\) 1.33677e7 2.31535e7i 0.440196 0.762442i
\(47\) 1.31583e7 0.393331 0.196666 0.980471i \(-0.436989\pi\)
0.196666 + 0.980471i \(0.436989\pi\)
\(48\) 4.68276e6 8.11078e6i 0.127326 0.220535i
\(49\) 1.03301e7 1.78923e7i 0.255990 0.443388i
\(50\) −1.08305e7 1.87590e7i −0.245067 0.424469i
\(51\) 9.93050e7 2.05544
\(52\) 3.01730e7 + 5.22612e7i 0.572273 + 0.991206i
\(53\) −3.41576e7 + 5.91627e7i −0.594629 + 1.02993i 0.398970 + 0.916964i \(0.369368\pi\)
−0.993599 + 0.112964i \(0.963966\pi\)
\(54\) 1.99339e7 0.319022
\(55\) −1.11495e7 + 1.93115e7i −0.164294 + 0.284566i
\(56\) −2.41959e7 4.19086e7i −0.328773 0.569451i
\(57\) −1.01619e8 1.76009e8i −1.27508 2.20851i
\(58\) 3.27145e7 + 5.66631e7i 0.379589 + 0.657468i
\(59\) −8.27741e7 −0.889325 −0.444662 0.895698i \(-0.646676\pi\)
−0.444662 + 0.895698i \(0.646676\pi\)
\(60\) 1.84795e7 + 3.20074e7i 0.184081 + 0.318838i
\(61\) −7.34819e7 1.27274e8i −0.679510 1.17695i −0.975129 0.221640i \(-0.928859\pi\)
0.295618 0.955306i \(-0.404474\pi\)
\(62\) 5.03116e7 8.71423e7i 0.432420 0.748973i
\(63\) −5.99142e7 + 1.03774e8i −0.479178 + 0.829961i
\(64\) 5.50691e7 0.410296
\(65\) −8.27823e7 −0.575211
\(66\) 6.26862e7 1.08576e8i 0.406653 0.704344i
\(67\) 6.55347e7 1.13509e8i 0.397315 0.688170i −0.596079 0.802926i \(-0.703275\pi\)
0.993394 + 0.114756i \(0.0366088\pi\)
\(68\) −8.11469e7 1.40550e8i −0.460237 0.797154i
\(69\) 2.29145e8 + 3.96890e8i 1.21699 + 2.10790i
\(70\) 2.70960e7 0.134885
\(71\) 7.76902e7 + 1.34563e8i 0.362830 + 0.628440i 0.988425 0.151707i \(-0.0484772\pi\)
−0.625595 + 0.780148i \(0.715144\pi\)
\(72\) −1.47225e8 2.55002e8i −0.645633 1.11827i
\(73\) −5.45905e7 9.45536e7i −0.224991 0.389695i 0.731326 0.682028i \(-0.238902\pi\)
−0.956317 + 0.292333i \(0.905569\pi\)
\(74\) 7.69752e7 1.33325e8i 0.298406 0.516855i
\(75\) 3.71307e8 1.35506
\(76\) −1.66075e8 + 2.87651e8i −0.571011 + 0.989020i
\(77\) 1.02142e8 + 1.76916e8i 0.331129 + 0.573532i
\(78\) 4.65430e8 1.42373
\(79\) −1.92321e8 3.33110e8i −0.555527 0.962202i −0.997862 0.0653517i \(-0.979183\pi\)
0.442335 0.896850i \(-0.354150\pi\)
\(80\) 1.04984e7 1.81837e7i 0.0286561 0.0496338i
\(81\) 9.48921e7 1.64358e8i 0.244933 0.424237i
\(82\) −3.47635e7 −0.0849106
\(83\) 2.60672e7 4.51498e7i 0.0602898 0.104425i −0.834305 0.551303i \(-0.814131\pi\)
0.894595 + 0.446878i \(0.147464\pi\)
\(84\) 3.38587e8 0.742016
\(85\) 2.22634e8 0.462600
\(86\) −2.77695e8 5.23259e7i −0.547426 0.103151i
\(87\) −1.12156e9 −2.09887
\(88\) −5.01981e8 −0.892310
\(89\) 1.04411e8 1.80846e8i 0.176398 0.305530i −0.764246 0.644924i \(-0.776889\pi\)
0.940644 + 0.339395i \(0.110222\pi\)
\(90\) 1.64872e8 0.264883
\(91\) −3.79191e8 + 6.56778e8i −0.579658 + 1.00400i
\(92\) 3.74490e8 6.48636e8i 0.544998 0.943964i
\(93\) 8.62425e8 + 1.49376e9i 1.19550 + 2.07066i
\(94\) −1.65858e8 −0.219109
\(95\) −2.27821e8 3.94598e8i −0.286971 0.497049i
\(96\) −6.62199e8 + 1.14696e9i −0.795734 + 1.37825i
\(97\) 3.56399e8 0.408756 0.204378 0.978892i \(-0.434483\pi\)
0.204378 + 0.978892i \(0.434483\pi\)
\(98\) −1.30209e8 + 2.25529e8i −0.142602 + 0.246994i
\(99\) 6.21506e8 + 1.07648e9i 0.650260 + 1.12628i
\(100\) −3.03413e8 5.25526e8i −0.303413 0.525526i
\(101\) −7.48969e6 1.29725e7i −0.00716173 0.0124045i 0.862422 0.506189i \(-0.168946\pi\)
−0.869584 + 0.493785i \(0.835613\pi\)
\(102\) −1.25172e9 −1.14500
\(103\) −9.92395e8 1.71888e9i −0.868795 1.50480i −0.863229 0.504812i \(-0.831562\pi\)
−0.00556546 0.999985i \(-0.501772\pi\)
\(104\) −9.31773e8 1.61388e9i −0.781017 1.35276i
\(105\) −2.32236e8 + 4.02244e8i −0.186456 + 0.322952i
\(106\) 4.30551e8 7.45736e8i 0.331244 0.573731i
\(107\) −7.17046e8 −0.528835 −0.264417 0.964408i \(-0.585180\pi\)
−0.264417 + 0.964408i \(0.585180\pi\)
\(108\) 5.58440e8 0.394975
\(109\) 5.76189e7 9.97988e7i 0.0390972 0.0677183i −0.845815 0.533477i \(-0.820885\pi\)
0.884912 + 0.465759i \(0.154218\pi\)
\(110\) 1.40537e8 2.43418e8i 0.0915218 0.158520i
\(111\) 1.31948e9 + 2.28541e9i 0.824994 + 1.42893i
\(112\) −9.61772e7 1.66584e8i −0.0577552 0.100035i
\(113\) −1.77159e9 −1.02214 −0.511069 0.859540i \(-0.670750\pi\)
−0.511069 + 0.859540i \(0.670750\pi\)
\(114\) 1.28089e9 + 2.21857e9i 0.710297 + 1.23027i
\(115\) 5.13723e8 + 8.89795e8i 0.273898 + 0.474405i
\(116\) 9.16481e8 + 1.58739e9i 0.469962 + 0.813998i
\(117\) −2.30727e9 + 3.99630e9i −1.13831 + 1.97162i
\(118\) 1.04335e9 0.495407
\(119\) 1.01979e9 1.76633e9i 0.466176 0.807440i
\(120\) −5.70665e8 9.88421e8i −0.251227 0.435137i
\(121\) −2.38851e8 −0.101296
\(122\) 9.26226e8 + 1.60427e9i 0.378528 + 0.655629i
\(123\) 2.97953e8 5.16069e8i 0.117375 0.203299i
\(124\) 1.40946e9 2.44125e9i 0.535371 0.927289i
\(125\) 1.77854e9 0.651583
\(126\) 7.55208e8 1.30806e9i 0.266931 0.462338i
\(127\) −4.48287e9 −1.52911 −0.764556 0.644558i \(-0.777042\pi\)
−0.764556 + 0.644558i \(0.777042\pi\)
\(128\) 2.44419e9 0.804805
\(129\) 3.15686e9 3.67394e9i 1.00370 1.16810i
\(130\) 1.04346e9 0.320427
\(131\) −4.43460e9 −1.31563 −0.657814 0.753180i \(-0.728519\pi\)
−0.657814 + 0.753180i \(0.728519\pi\)
\(132\) 1.75613e9 3.04170e9i 0.503469 0.872034i
\(133\) −4.17422e9 −1.15676
\(134\) −8.26053e8 + 1.43077e9i −0.221328 + 0.383351i
\(135\) −3.83033e8 + 6.63432e8i −0.0992507 + 0.171907i
\(136\) 2.50590e9 + 4.34034e9i 0.628114 + 1.08793i
\(137\) 3.15914e8 0.0766172 0.0383086 0.999266i \(-0.487803\pi\)
0.0383086 + 0.999266i \(0.487803\pi\)
\(138\) −2.88833e9 5.00273e9i −0.677939 1.17422i
\(139\) 2.41891e9 4.18967e9i 0.549607 0.951948i −0.448694 0.893686i \(-0.648111\pi\)
0.998301 0.0582625i \(-0.0185560\pi\)
\(140\) 7.59084e8 0.166999
\(141\) 1.42154e9 2.46218e9i 0.302882 0.524606i
\(142\) −9.79271e8 1.69615e9i −0.202118 0.350079i
\(143\) 3.93345e9 + 6.81293e9i 0.786613 + 1.36245i
\(144\) −5.85210e8 1.01361e9i −0.113418 0.196445i
\(145\) −2.51445e9 −0.472374
\(146\) 6.88104e8 + 1.19183e9i 0.125333 + 0.217084i
\(147\) −2.23201e9 3.86595e9i −0.394246 0.682854i
\(148\) 2.15643e9 3.73504e9i 0.369451 0.639908i
\(149\) 7.34987e8 1.27303e9i 0.122163 0.211593i −0.798457 0.602052i \(-0.794350\pi\)
0.920621 + 0.390458i \(0.127683\pi\)
\(150\) −4.68026e9 −0.754848
\(151\) −1.22204e10 −1.91288 −0.956439 0.291931i \(-0.905702\pi\)
−0.956439 + 0.291931i \(0.905702\pi\)
\(152\) 5.12858e9 8.88297e9i 0.779294 1.34978i
\(153\) 6.20513e9 1.07476e10i 0.915461 1.58562i
\(154\) −1.28748e9 2.22999e9i −0.184459 0.319492i
\(155\) 1.93349e9 + 3.34890e9i 0.269059 + 0.466025i
\(156\) 1.30388e10 1.76270
\(157\) 7.52606e8 + 1.30355e9i 0.0988597 + 0.171230i 0.911213 0.411936i \(-0.135147\pi\)
−0.812353 + 0.583166i \(0.801814\pi\)
\(158\) 2.42418e9 + 4.19880e9i 0.309462 + 0.536004i
\(159\) 7.38036e9 + 1.27832e10i 0.915778 + 1.58617i
\(160\) −1.48459e9 + 2.57139e9i −0.179089 + 0.310190i
\(161\) 9.41260e9 1.10406
\(162\) −1.19610e9 + 2.07170e9i −0.136442 + 0.236325i
\(163\) 1.24041e8 + 2.14845e8i 0.0137632 + 0.0238386i 0.872825 0.488033i \(-0.162286\pi\)
−0.859062 + 0.511872i \(0.828952\pi\)
\(164\) −9.73885e8 −0.105126
\(165\) 2.40904e9 + 4.17259e9i 0.253027 + 0.438256i
\(166\) −3.28573e8 + 5.69105e8i −0.0335850 + 0.0581709i
\(167\) 7.63730e9 1.32282e10i 0.759829 1.31606i −0.183109 0.983093i \(-0.558616\pi\)
0.942938 0.332969i \(-0.108051\pi\)
\(168\) −1.04559e10 −1.01268
\(169\) −9.30021e9 + 1.61084e10i −0.877006 + 1.51902i
\(170\) −2.80626e9 −0.257696
\(171\) −2.53989e10 −2.27160
\(172\) −7.77951e9 1.46589e9i −0.677757 0.127709i
\(173\) 1.31535e10 1.11644 0.558220 0.829693i \(-0.311485\pi\)
0.558220 + 0.829693i \(0.311485\pi\)
\(174\) 1.41371e10 1.16920
\(175\) 3.81306e9 6.60441e9i 0.307328 0.532308i
\(176\) −1.99534e9 −0.156751
\(177\) −8.94241e9 + 1.54887e10i −0.684817 + 1.18614i
\(178\) −1.31609e9 + 2.27953e9i −0.0982640 + 0.170198i
\(179\) 4.59692e9 + 7.96211e9i 0.334679 + 0.579681i 0.983423 0.181325i \(-0.0580387\pi\)
−0.648744 + 0.761007i \(0.724705\pi\)
\(180\) 4.61881e9 0.327947
\(181\) 7.20658e9 + 1.24822e10i 0.499086 + 0.864443i 0.999999 0.00105494i \(-0.000335797\pi\)
−0.500913 + 0.865497i \(0.667002\pi\)
\(182\) 4.77963e9 8.27857e9i 0.322904 0.559286i
\(183\) −3.17541e10 −2.09300
\(184\) −1.15646e10 + 2.00305e10i −0.743793 + 1.28829i
\(185\) 2.95817e9 + 5.12370e9i 0.185674 + 0.321596i
\(186\) −1.08707e10 1.88286e10i −0.665963 1.15348i
\(187\) −1.05786e10 1.83226e10i −0.632615 1.09572i
\(188\) −4.64643e9 −0.271275
\(189\) 3.50902e9 + 6.07781e9i 0.200036 + 0.346472i
\(190\) 2.87165e9 + 4.97384e9i 0.159860 + 0.276886i
\(191\) −6.94743e9 + 1.20333e10i −0.377724 + 0.654236i −0.990731 0.135841i \(-0.956626\pi\)
0.613007 + 0.790077i \(0.289960\pi\)
\(192\) 5.94932e9 1.03045e10i 0.315945 0.547233i
\(193\) 1.64897e10 0.855472 0.427736 0.903904i \(-0.359311\pi\)
0.427736 + 0.903904i \(0.359311\pi\)
\(194\) −4.49235e9 −0.227701
\(195\) −8.94329e9 + 1.54902e10i −0.442936 + 0.767189i
\(196\) −3.64776e9 + 6.31810e9i −0.176552 + 0.305798i
\(197\) −7.41617e9 1.28452e10i −0.350818 0.607634i 0.635575 0.772039i \(-0.280763\pi\)
−0.986393 + 0.164405i \(0.947430\pi\)
\(198\) −7.83397e9 1.35688e10i −0.362234 0.627407i
\(199\) 5.06183e9 0.228807 0.114403 0.993434i \(-0.463504\pi\)
0.114403 + 0.993434i \(0.463504\pi\)
\(200\) 9.36970e9 + 1.62288e10i 0.414086 + 0.717218i
\(201\) −1.41599e10 2.45257e10i −0.611898 1.05984i
\(202\) 9.44062e7 + 1.63516e8i 0.00398951 + 0.00691003i
\(203\) −1.15176e10 + 1.99491e10i −0.476026 + 0.824501i
\(204\) −3.50664e10 −1.41761
\(205\) 6.67985e8 1.15698e9i 0.0264164 0.0457546i
\(206\) 1.25090e10 + 2.16662e10i 0.483971 + 0.838262i
\(207\) 5.72730e10 2.16812
\(208\) −3.70374e9 6.41506e9i −0.137200 0.237638i
\(209\) −2.16501e10 + 3.74991e10i −0.784878 + 1.35945i
\(210\) 2.92729e9 5.07021e9i 0.103867 0.179903i
\(211\) −6.08965e9 −0.211505 −0.105753 0.994392i \(-0.533725\pi\)
−0.105753 + 0.994392i \(0.533725\pi\)
\(212\) 1.20617e10 2.08915e10i 0.410107 0.710325i
\(213\) 3.35727e10 1.11758
\(214\) 9.03824e9 0.294593
\(215\) 7.07743e9 8.23668e9i 0.225893 0.262893i
\(216\) −1.72452e10 −0.539047
\(217\) 3.54259e10 1.08456
\(218\) −7.26275e8 + 1.25795e9i −0.0217795 + 0.0377231i
\(219\) −2.35905e10 −0.693009
\(220\) 3.93709e9 6.81924e9i 0.113311 0.196261i
\(221\) 3.92717e10 6.80205e10i 1.10742 1.91812i
\(222\) −1.66319e10 2.88072e10i −0.459571 0.796000i
\(223\) −1.62037e10 −0.438775 −0.219387 0.975638i \(-0.570406\pi\)
−0.219387 + 0.975638i \(0.570406\pi\)
\(224\) 1.36006e10 + 2.35569e10i 0.360946 + 0.625177i
\(225\) 2.32014e10 4.01859e10i 0.603521 1.04533i
\(226\) 2.23305e10 0.569391
\(227\) −1.50342e10 + 2.60400e10i −0.375806 + 0.650916i −0.990447 0.137891i \(-0.955968\pi\)
0.614641 + 0.788807i \(0.289301\pi\)
\(228\) 3.58835e10 + 6.21521e10i 0.879404 + 1.52317i
\(229\) 6.99790e9 + 1.21207e10i 0.168154 + 0.291252i 0.937771 0.347254i \(-0.112886\pi\)
−0.769617 + 0.638506i \(0.779553\pi\)
\(230\) −6.47539e9 1.12157e10i −0.152578 0.264272i
\(231\) 4.41393e10 1.01993
\(232\) −2.83019e10 4.90203e10i −0.641386 1.11091i
\(233\) 9.07134e9 + 1.57120e10i 0.201637 + 0.349245i 0.949056 0.315108i \(-0.102041\pi\)
−0.747419 + 0.664353i \(0.768707\pi\)
\(234\) 2.90827e10 5.03727e10i 0.634108 1.09831i
\(235\) 3.18697e9 5.52000e9i 0.0681668 0.118068i
\(236\) 2.92291e10 0.613354
\(237\) −8.31088e10 −1.71112
\(238\) −1.28543e10 + 2.22643e10i −0.259688 + 0.449792i
\(239\) 2.90082e10 5.02436e10i 0.575082 0.996071i −0.420951 0.907084i \(-0.638303\pi\)
0.996033 0.0889878i \(-0.0283632\pi\)
\(240\) −2.26836e9 3.92891e9i −0.0441327 0.0764401i
\(241\) 1.39442e10 + 2.41521e10i 0.266268 + 0.461189i 0.967895 0.251355i \(-0.0808762\pi\)
−0.701627 + 0.712544i \(0.747543\pi\)
\(242\) 3.01067e9 0.0564279
\(243\) −3.60670e10 6.24699e10i −0.663562 1.14932i
\(244\) 2.59478e10 + 4.49429e10i 0.468648 + 0.811722i
\(245\) −5.00397e9 8.66714e9i −0.0887294 0.153684i
\(246\) −3.75564e9 + 6.50496e9i −0.0653847 + 0.113250i
\(247\) −1.60747e11 −2.74794
\(248\) −4.35255e10 + 7.53884e10i −0.730653 + 1.26553i
\(249\) −5.63229e9 9.75541e9i −0.0928513 0.160823i
\(250\) −2.24182e10 −0.362971
\(251\) −1.39244e10 2.41178e10i −0.221435 0.383536i 0.733809 0.679356i \(-0.237741\pi\)
−0.955244 + 0.295820i \(0.904407\pi\)
\(252\) 2.11568e10 3.66447e10i 0.330482 0.572412i
\(253\) 4.88197e10 8.45582e10i 0.749123 1.29752i
\(254\) 5.65057e10 0.851806
\(255\) 2.40520e10 4.16592e10i 0.356221 0.616993i
\(256\) −5.90040e10 −0.858621
\(257\) −3.55243e9 −0.0507957 −0.0253978 0.999677i \(-0.508085\pi\)
−0.0253978 + 0.999677i \(0.508085\pi\)
\(258\) −3.97917e10 + 4.63094e10i −0.559119 + 0.650700i
\(259\) 5.42006e10 0.748437
\(260\) 2.92320e10 0.396714
\(261\) −7.00814e10 + 1.21385e11i −0.934804 + 1.61913i
\(262\) 5.58973e10 0.732884
\(263\) 8.77985e9 1.52072e10i 0.113158 0.195996i −0.803884 0.594786i \(-0.797237\pi\)
0.917042 + 0.398791i \(0.130570\pi\)
\(264\) −5.42310e10 + 9.39308e10i −0.687116 + 1.19012i
\(265\) 1.65462e10 + 2.86588e10i 0.206106 + 0.356986i
\(266\) 5.26152e10 0.644383
\(267\) −2.25599e10 3.90749e10i −0.271667 0.470541i
\(268\) −2.31415e10 + 4.00823e10i −0.274022 + 0.474620i
\(269\) 1.46327e11 1.70388 0.851942 0.523637i \(-0.175425\pi\)
0.851942 + 0.523637i \(0.175425\pi\)
\(270\) 4.82806e9 8.36244e9i 0.0552886 0.0957626i
\(271\) −4.41350e10 7.64441e10i −0.497074 0.860958i 0.502920 0.864333i \(-0.332259\pi\)
−0.999994 + 0.00337497i \(0.998926\pi\)
\(272\) 9.96078e9 + 1.72526e10i 0.110340 + 0.191115i
\(273\) 8.19309e10 + 1.41908e11i 0.892721 + 1.54624i
\(274\) −3.98204e9 −0.0426804
\(275\) −3.95539e10 6.85093e10i −0.417054 0.722358i
\(276\) −8.09152e10 1.40149e11i −0.839342 1.45378i
\(277\) 3.43429e10 5.94837e10i 0.350492 0.607070i −0.635844 0.771818i \(-0.719348\pi\)
0.986336 + 0.164748i \(0.0526810\pi\)
\(278\) −3.04899e10 + 5.28100e10i −0.306164 + 0.530292i
\(279\) 2.15557e11 2.12982
\(280\) −2.34413e10 −0.227914
\(281\) −1.70904e10 + 2.96014e10i −0.163521 + 0.283226i −0.936129 0.351657i \(-0.885618\pi\)
0.772608 + 0.634883i \(0.218952\pi\)
\(282\) −1.79182e10 + 3.10353e10i −0.168723 + 0.292237i
\(283\) −1.01692e10 1.76136e10i −0.0942428 0.163233i 0.815050 0.579391i \(-0.196710\pi\)
−0.909292 + 0.416158i \(0.863376\pi\)
\(284\) −2.74338e10 4.75168e10i −0.250238 0.433426i
\(285\) −9.84497e10 −0.883919
\(286\) −4.95804e10 8.58758e10i −0.438191 0.758968i
\(287\) −6.11952e9 1.05993e10i −0.0532413 0.0922166i
\(288\) 8.27558e10 + 1.43337e11i 0.708814 + 1.22770i
\(289\) −4.63227e10 + 8.02333e10i −0.390619 + 0.676573i
\(290\) 3.16941e10 0.263141
\(291\) 3.85032e10 6.66895e10i 0.314759 0.545179i
\(292\) 1.92769e10 + 3.33886e10i 0.155173 + 0.268767i
\(293\) −1.47790e11 −1.17150 −0.585748 0.810493i \(-0.699199\pi\)
−0.585748 + 0.810493i \(0.699199\pi\)
\(294\) 2.81340e10 + 4.87296e10i 0.219619 + 0.380391i
\(295\) −2.00481e10 + 3.47244e10i −0.154126 + 0.266953i
\(296\) −6.65927e10 + 1.15342e11i −0.504213 + 0.873322i
\(297\) 7.28001e10 0.542910
\(298\) −9.26438e9 + 1.60464e10i −0.0680523 + 0.117870i
\(299\) 3.62475e11 2.62275
\(300\) −1.31115e11 −0.934562
\(301\) −3.29294e10 9.38796e10i −0.231225 0.659208i
\(302\) 1.54035e11 1.06559
\(303\) −3.23656e9 −0.0220593
\(304\) 2.03858e10 3.53092e10i 0.136898 0.237114i
\(305\) −7.11901e10 −0.471054
\(306\) −7.82146e10 + 1.35472e11i −0.509966 + 0.883288i
\(307\) −1.31147e10 + 2.27154e10i −0.0842629 + 0.145948i −0.905077 0.425248i \(-0.860187\pi\)
0.820814 + 0.571196i \(0.193520\pi\)
\(308\) −3.60683e10 6.24721e10i −0.228374 0.395556i
\(309\) −4.28849e11 −2.67603
\(310\) −2.43712e10 4.22122e10i −0.149882 0.259604i
\(311\) −6.50406e10 + 1.12654e11i −0.394242 + 0.682847i −0.993004 0.118080i \(-0.962326\pi\)
0.598762 + 0.800927i \(0.295659\pi\)
\(312\) −4.02652e11 −2.40566
\(313\) 3.48717e9 6.03996e9i 0.0205364 0.0355701i −0.855575 0.517680i \(-0.826796\pi\)
0.876111 + 0.482110i \(0.160129\pi\)
\(314\) −9.48646e9 1.64310e10i −0.0550707 0.0953853i
\(315\) 2.90228e10 + 5.02689e10i 0.166089 + 0.287675i
\(316\) 6.79122e10 + 1.17627e11i 0.383139 + 0.663616i
\(317\) −1.45624e11 −0.809967 −0.404984 0.914324i \(-0.632723\pi\)
−0.404984 + 0.914324i \(0.632723\pi\)
\(318\) −9.30281e10 1.61129e11i −0.510143 0.883594i
\(319\) 1.19475e11 + 2.06937e11i 0.645982 + 1.11887i
\(320\) 1.33379e10 2.31019e10i 0.0711070 0.123161i
\(321\) −7.74652e10 + 1.34174e11i −0.407225 + 0.705334i
\(322\) −1.18644e11 −0.615028
\(323\) 4.32311e11 2.20996
\(324\) −3.35082e10 + 5.80379e10i −0.168927 + 0.292590i
\(325\) 1.46839e11 2.54333e11i 0.730073 1.26452i
\(326\) −1.56351e9 2.70808e9i −0.00766693 0.0132795i
\(327\) −1.24496e10 2.15633e10i −0.0602129 0.104292i
\(328\) 3.00746e10 0.143472
\(329\) −2.91964e10 5.05696e10i −0.137388 0.237962i
\(330\) −3.03656e10 5.25947e10i −0.140951 0.244135i
\(331\) −6.10645e9 1.05767e10i −0.0279616 0.0484310i 0.851706 0.524020i \(-0.175568\pi\)
−0.879668 + 0.475589i \(0.842235\pi\)
\(332\) −9.20482e9 + 1.59432e10i −0.0415809 + 0.0720203i
\(333\) 3.29795e11 1.46976
\(334\) −9.62668e10 + 1.66739e11i −0.423270 + 0.733125i
\(335\) −3.17454e10 5.49846e10i −0.137714 0.238528i
\(336\) −4.15616e10 −0.177896
\(337\) −4.07288e10 7.05444e10i −0.172015 0.297939i 0.767109 0.641517i \(-0.221695\pi\)
−0.939124 + 0.343578i \(0.888361\pi\)
\(338\) 1.17228e11 2.03044e11i 0.488545 0.846184i
\(339\) −1.91391e11 + 3.31499e11i −0.787088 + 1.36328i
\(340\) −7.86160e10 −0.319048
\(341\) 1.83741e11 3.18249e11i 0.735889 1.27460i
\(342\) 3.20149e11 1.26542
\(343\) −2.70762e11 −1.05625
\(344\) 2.40239e11 + 4.52681e10i 0.924977 + 0.174293i
\(345\) 2.21998e11 0.843651
\(346\) −1.65798e11 −0.621924
\(347\) 2.62478e11 4.54626e11i 0.971876 1.68334i 0.281995 0.959416i \(-0.409004\pi\)
0.689881 0.723923i \(-0.257663\pi\)
\(348\) 3.96044e11 1.44756
\(349\) −1.17473e11 + 2.03470e11i −0.423863 + 0.734152i −0.996313 0.0857872i \(-0.972659\pi\)
0.572451 + 0.819939i \(0.305993\pi\)
\(350\) −4.80629e10 + 8.32474e10i −0.171200 + 0.296527i
\(351\) 1.35131e11 + 2.34053e11i 0.475196 + 0.823063i
\(352\) 2.82165e11 0.979630
\(353\) −9.34763e8 1.61906e9i −0.00320417 0.00554978i 0.864419 0.502772i \(-0.167687\pi\)
−0.867623 + 0.497223i \(0.834353\pi\)
\(354\) 1.12717e11 1.95232e11i 0.381484 0.660750i
\(355\) 7.52671e10 0.251523
\(356\) −3.68696e10 + 6.38600e10i −0.121659 + 0.210719i
\(357\) −2.20344e11 3.81647e11i −0.717950 1.24353i
\(358\) −5.79434e10 1.00361e11i −0.186436 0.322917i
\(359\) 1.49364e11 + 2.58707e11i 0.474594 + 0.822021i 0.999577 0.0290922i \(-0.00926163\pi\)
−0.524983 + 0.851113i \(0.675928\pi\)
\(360\) −1.42634e11 −0.447569
\(361\) −2.81041e11 4.86777e11i −0.870938 1.50851i
\(362\) −9.08376e10 1.57335e11i −0.278021 0.481546i
\(363\) −2.58040e10 + 4.46938e10i −0.0780021 + 0.135104i
\(364\) 1.33899e11 2.31920e11i 0.399781 0.692441i
\(365\) −5.28880e10 −0.155969
\(366\) 4.00255e11 1.16593
\(367\) 3.06560e10 5.30977e10i 0.0882100 0.152784i −0.818545 0.574443i \(-0.805219\pi\)
0.906755 + 0.421659i \(0.138552\pi\)
\(368\) −4.59687e10 + 7.96201e10i −0.130661 + 0.226312i
\(369\) −3.72355e10 6.44938e10i −0.104554 0.181092i
\(370\) −3.72872e10 6.45834e10i −0.103431 0.179148i
\(371\) 3.03164e11 0.830797
\(372\) −3.04538e11 5.27476e11i −0.824515 1.42810i
\(373\) 6.13116e10 + 1.06195e11i 0.164003 + 0.284062i 0.936301 0.351199i \(-0.114226\pi\)
−0.772298 + 0.635261i \(0.780893\pi\)
\(374\) 1.33341e11 + 2.30953e11i 0.352404 + 0.610382i
\(375\) 1.92143e11 3.32802e11i 0.501746 0.869050i
\(376\) 1.43487e11 0.370225
\(377\) −4.43538e11 + 7.68231e11i −1.13082 + 1.95864i
\(378\) −4.42306e10 7.66097e10i −0.111432 0.193006i
\(379\) 1.96971e8 0.000490373 0.000245187 1.00000i \(-0.499922\pi\)
0.000245187 1.00000i \(0.499922\pi\)
\(380\) 8.04479e10 + 1.39340e11i 0.197920 + 0.342807i
\(381\) −4.84301e11 + 8.38835e11i −1.17748 + 2.03945i
\(382\) 8.75711e10 1.51678e11i 0.210415 0.364449i
\(383\) 5.80177e11 1.37774 0.688868 0.724887i \(-0.258108\pi\)
0.688868 + 0.724887i \(0.258108\pi\)
\(384\) 2.64056e11 4.57358e11i 0.619733 1.07341i
\(385\) 9.89566e10 0.229547
\(386\) −2.07850e11 −0.476549
\(387\) −2.00366e11 5.71231e11i −0.454072 1.29453i
\(388\) −1.25851e11 −0.281913
\(389\) −6.66445e11 −1.47568 −0.737838 0.674978i \(-0.764153\pi\)
−0.737838 + 0.674978i \(0.764153\pi\)
\(390\) 1.12729e11 1.95252e11i 0.246742 0.427370i
\(391\) −9.74835e11 −2.10929
\(392\) 1.12647e11 1.95110e11i 0.240952 0.417341i
\(393\) −4.79087e11 + 8.29802e11i −1.01309 + 1.75472i
\(394\) 9.34794e10 + 1.61911e11i 0.195426 + 0.338488i
\(395\) −1.86323e11 −0.385106
\(396\) −2.19465e11 3.80125e11i −0.448474 0.776780i
\(397\) −1.27740e11 + 2.21251e11i −0.258088 + 0.447022i −0.965730 0.259550i \(-0.916426\pi\)
0.707642 + 0.706572i \(0.249759\pi\)
\(398\) −6.38035e10 −0.127459
\(399\) −4.50957e11 + 7.81080e11i −0.890752 + 1.54283i
\(400\) 3.72439e10 + 6.45084e10i 0.0727421 + 0.125993i
\(401\) −2.22555e11 3.85476e11i −0.429820 0.744470i 0.567037 0.823692i \(-0.308090\pi\)
−0.996857 + 0.0792221i \(0.974756\pi\)
\(402\) 1.78483e11 + 3.09142e11i 0.340864 + 0.590393i
\(403\) 1.36424e12 2.57642
\(404\) 2.64475e9 + 4.58084e9i 0.00493933 + 0.00855517i
\(405\) −4.59663e10 7.96160e10i −0.0848969 0.147046i
\(406\) 1.45178e11 2.51455e11i 0.265175 0.459296i
\(407\) 2.81119e11 4.86912e11i 0.507826 0.879580i
\(408\) 1.08289e12 1.93470
\(409\) −7.47902e11 −1.32157 −0.660785 0.750575i \(-0.729776\pi\)
−0.660785 + 0.750575i \(0.729776\pi\)
\(410\) −8.41983e9 + 1.45836e10i −0.0147155 + 0.0254881i
\(411\) 3.41294e10 5.91139e10i 0.0589985 0.102188i
\(412\) 3.50433e11 + 6.06968e11i 0.599194 + 1.03783i
\(413\) 1.83664e11 + 3.18116e11i 0.310634 + 0.538034i
\(414\) −7.21916e11 −1.20777
\(415\) −1.26271e10 2.18708e10i −0.0208972 0.0361950i
\(416\) 5.23753e11 + 9.07167e11i 0.857445 + 1.48514i
\(417\) −5.22648e11 9.05252e11i −0.846441 1.46608i
\(418\) 2.72896e11 4.72670e11i 0.437224 0.757294i
\(419\) −5.58222e11 −0.884797 −0.442398 0.896819i \(-0.645872\pi\)
−0.442398 + 0.896819i \(0.645872\pi\)
\(420\) 8.20067e10 1.42040e11i 0.128596 0.222735i
\(421\) 3.62731e11 + 6.28269e11i 0.562750 + 0.974711i 0.997255 + 0.0740420i \(0.0235899\pi\)
−0.434505 + 0.900669i \(0.643077\pi\)
\(422\) 7.67590e10 0.117821
\(423\) −1.77651e11 3.07701e11i −0.269797 0.467302i
\(424\) −3.72477e11 + 6.45150e11i −0.559698 + 0.969425i
\(425\) −3.94907e11 + 6.83999e11i −0.587144 + 1.01696i
\(426\) −4.23177e11 −0.622557
\(427\) −3.26092e11 + 5.64808e11i −0.474695 + 0.822196i
\(428\) 2.53202e11 0.364729
\(429\) 1.69978e12 2.42290
\(430\) −8.92097e10 + 1.03822e11i −0.125836 + 0.146447i
\(431\) 1.09949e12 1.53477 0.767383 0.641189i \(-0.221559\pi\)
0.767383 + 0.641189i \(0.221559\pi\)
\(432\) −6.85486e10 −0.0946938
\(433\) −2.48936e11 + 4.31171e11i −0.340324 + 0.589459i −0.984493 0.175425i \(-0.943870\pi\)
0.644169 + 0.764884i \(0.277204\pi\)
\(434\) −4.46538e11 −0.604163
\(435\) −2.71645e11 + 4.70503e11i −0.363748 + 0.630030i
\(436\) −2.03463e10 + 3.52408e10i −0.0269647 + 0.0467043i
\(437\) 9.97550e11 + 1.72781e12i 1.30848 + 2.26636i
\(438\) 2.97354e11 0.386047
\(439\) −7.49300e11 1.29783e12i −0.962865 1.66773i −0.715244 0.698875i \(-0.753685\pi\)
−0.247621 0.968857i \(-0.579649\pi\)
\(440\) −1.21581e11 + 2.10585e11i −0.154643 + 0.267849i
\(441\) −5.57873e11 −0.702364
\(442\) −4.95012e11 + 8.57386e11i −0.616901 + 1.06850i
\(443\) −6.75657e11 1.17027e12i −0.833507 1.44368i −0.895240 0.445584i \(-0.852996\pi\)
0.0617327 0.998093i \(-0.480337\pi\)
\(444\) −4.65934e11 8.07021e11i −0.568985 0.985511i
\(445\) −5.05775e10 8.76027e10i −0.0611416 0.105900i
\(446\) 2.04244e11 0.244424
\(447\) −1.58807e11 2.75062e11i −0.188142 0.325871i
\(448\) −1.22191e11 2.11640e11i −0.143313 0.248226i
\(449\) 5.44022e11 9.42274e11i 0.631696 1.09413i −0.355509 0.934673i \(-0.615692\pi\)
0.987205 0.159457i \(-0.0509742\pi\)
\(450\) −2.92449e11 + 5.06537e11i −0.336197 + 0.582310i
\(451\) −1.26959e11 −0.144500
\(452\) 6.25580e11 0.704952
\(453\) −1.32021e12 + 2.28667e12i −1.47300 + 2.55130i
\(454\) 1.89504e11 3.28230e11i 0.209347 0.362599i
\(455\) 1.83682e11 + 3.18147e11i 0.200917 + 0.347998i
\(456\) −1.10812e12 1.91932e12i −1.20018 2.07877i
\(457\) 1.96529e11 0.210768 0.105384 0.994432i \(-0.466393\pi\)
0.105384 + 0.994432i \(0.466393\pi\)
\(458\) −8.82072e10 1.52779e11i −0.0936720 0.162245i
\(459\) −3.63419e11 6.29460e11i −0.382165 0.661929i
\(460\) −1.81405e11 3.14203e11i −0.188903 0.327190i
\(461\) −3.82645e11 + 6.62761e11i −0.394587 + 0.683444i −0.993048 0.117707i \(-0.962446\pi\)
0.598462 + 0.801151i \(0.295779\pi\)
\(462\) −5.56368e11 −0.568163
\(463\) −3.79995e11 + 6.58171e11i −0.384294 + 0.665617i −0.991671 0.128797i \(-0.958888\pi\)
0.607377 + 0.794414i \(0.292222\pi\)
\(464\) −1.12498e11 1.94852e11i −0.112672 0.195153i
\(465\) 8.35528e11 0.828748
\(466\) −1.14343e11 1.98047e11i −0.112324 0.194550i
\(467\) 5.41410e11 9.37749e11i 0.526744 0.912348i −0.472770 0.881186i \(-0.656746\pi\)
0.999514 0.0311622i \(-0.00992083\pi\)
\(468\) 8.14739e11 1.41117e12i 0.785077 1.35979i
\(469\) −5.81649e11 −0.555116
\(470\) −4.01712e10 + 6.95786e10i −0.0379730 + 0.0657711i
\(471\) 3.25228e11 0.304504
\(472\) −9.02624e11 −0.837082
\(473\) −1.01416e12 1.91098e11i −0.931606 0.175542i
\(474\) 1.04757e12 0.953194
\(475\) 1.61644e12 1.45693
\(476\) −3.60107e11 + 6.23724e11i −0.321514 + 0.556879i
\(477\) 1.84467e12 1.63149
\(478\) −3.65643e11 + 6.33312e11i −0.320355 + 0.554871i
\(479\) −1.05523e11 + 1.82770e11i −0.0915873 + 0.158634i −0.908179 0.418582i \(-0.862527\pi\)
0.816592 + 0.577215i \(0.195861\pi\)
\(480\) 3.20773e11 + 5.55595e11i 0.275811 + 0.477719i
\(481\) 2.08724e12 1.77795
\(482\) −1.75765e11 3.04433e11i −0.148327 0.256910i
\(483\) 1.01688e12 1.76129e12i 0.850173 1.47254i
\(484\) 8.43426e10 0.0698623
\(485\) 8.63210e10 1.49512e11i 0.0708400 0.122698i
\(486\) 4.54618e11 + 7.87422e11i 0.369644 + 0.640242i
\(487\) 3.16544e11 + 5.48271e11i 0.255008 + 0.441687i 0.964898 0.262626i \(-0.0845885\pi\)
−0.709889 + 0.704313i \(0.751255\pi\)
\(488\) −8.01295e11 1.38788e12i −0.639593 1.10781i
\(489\) 5.36023e10 0.0423930
\(490\) 6.30742e10 + 1.09248e11i 0.0494276 + 0.0856111i
\(491\) −6.52346e11 1.12990e12i −0.506537 0.877348i −0.999971 0.00756504i \(-0.997592\pi\)
0.493434 0.869783i \(-0.335741\pi\)
\(492\) −1.05213e11 + 1.82234e11i −0.0809515 + 0.140212i
\(493\) 1.19285e12 2.06607e12i 0.909438 1.57519i
\(494\) 2.02619e12 1.53077
\(495\) 6.02122e11 0.450777
\(496\) −1.73011e11 + 2.99664e11i −0.128353 + 0.222314i
\(497\) 3.44767e11 5.97154e11i 0.253467 0.439018i
\(498\) 7.09940e10 + 1.22965e11i 0.0517237 + 0.0895881i
\(499\) −9.67073e11 1.67502e12i −0.698243 1.20939i −0.969075 0.246766i \(-0.920632\pi\)
0.270832 0.962627i \(-0.412701\pi\)
\(500\) −6.28037e11 −0.449387
\(501\) −1.65017e12 2.85818e12i −1.17020 2.02684i
\(502\) 1.75515e11 + 3.04001e11i 0.123352 + 0.213652i
\(503\) −1.74675e11 3.02546e11i −0.121668 0.210735i 0.798758 0.601653i \(-0.205491\pi\)
−0.920425 + 0.390918i \(0.872158\pi\)
\(504\) −6.53344e11 + 1.13163e12i −0.451029 + 0.781205i
\(505\) −7.25610e9 −0.00496469
\(506\) −6.15364e11 + 1.06584e12i −0.417306 + 0.722795i
\(507\) 2.00948e12 + 3.48051e12i 1.35066 + 2.33942i
\(508\) 1.58298e12 1.05460
\(509\) 1.17123e12 + 2.02863e12i 0.773414 + 1.33959i 0.935682 + 0.352845i \(0.114786\pi\)
−0.162268 + 0.986747i \(0.551881\pi\)
\(510\) −3.03171e11 + 5.25107e11i −0.198436 + 0.343702i
\(511\) −2.42258e11 + 4.19602e11i −0.157175 + 0.272235i
\(512\) −5.07692e11 −0.326502
\(513\) −7.43775e11 + 1.28826e12i −0.474147 + 0.821247i
\(514\) 4.47778e10 0.0282962
\(515\) −9.61444e11 −0.602270
\(516\) −1.11475e12 + 1.29734e12i −0.692234 + 0.805618i
\(517\) −6.05723e11 −0.372878
\(518\) −6.83189e11 −0.416924
\(519\) 1.42103e12 2.46129e12i 0.859705 1.48905i
\(520\) −9.02713e11 −0.541420
\(521\) 3.36609e11 5.83024e11i 0.200150 0.346670i −0.748427 0.663218i \(-0.769190\pi\)
0.948577 + 0.316548i \(0.102524\pi\)
\(522\) 8.83364e11 1.53003e12i 0.520742 0.901951i
\(523\) 1.21979e12 + 2.11273e12i 0.712897 + 1.23477i 0.963765 + 0.266752i \(0.0859506\pi\)
−0.250868 + 0.968021i \(0.580716\pi\)
\(524\) 1.56594e12 0.907369
\(525\) −8.23878e11 1.42700e12i −0.473311 0.819798i
\(526\) −1.10668e11 + 1.91683e11i −0.0630359 + 0.109181i
\(527\) −3.66896e12 −2.07203
\(528\) −2.15565e11 + 3.73369e11i −0.120705 + 0.209067i
\(529\) −1.34884e12 2.33626e12i −0.748875 1.29709i
\(530\) −2.08561e11 3.61239e11i −0.114813 0.198863i
\(531\) 1.11754e12 + 1.93564e12i 0.610013 + 1.05657i
\(532\) 1.47399e12 0.797798
\(533\) −2.35660e11 4.08175e11i −0.126477 0.219065i
\(534\) 2.84364e11 + 4.92533e11i 0.151335 + 0.262119i
\(535\) −1.73671e11 + 3.00806e11i −0.0916504 + 0.158743i
\(536\) 7.14634e11 1.23778e12i 0.373975 0.647743i
\(537\) 1.98649e12 1.03087
\(538\) −1.84443e12 −0.949165
\(539\) −4.75533e11 + 8.23648e11i −0.242679 + 0.420332i
\(540\) 1.35256e11 2.34270e11i 0.0684517 0.118562i
\(541\) −4.66989e11 8.08849e11i −0.234379 0.405957i 0.724713 0.689051i \(-0.241972\pi\)
−0.959092 + 0.283094i \(0.908639\pi\)
\(542\) 5.56314e11 + 9.63564e11i 0.276900 + 0.479605i
\(543\) 3.11422e12 1.53727
\(544\) −1.40857e12 2.43972e12i −0.689580 1.19439i
\(545\) −2.79109e10 4.83431e10i −0.0135516 0.0234720i
\(546\) −1.03272e12 1.78873e12i −0.497299 0.861347i
\(547\) 6.18176e11 1.07071e12i 0.295236 0.511364i −0.679804 0.733394i \(-0.737935\pi\)
0.975040 + 0.222030i \(0.0712684\pi\)
\(548\) −1.11555e11 −0.0528417
\(549\) −1.98418e12 + 3.43669e12i −0.932191 + 1.61460i
\(550\) 4.98569e11 + 8.63548e11i 0.232324 + 0.402396i
\(551\) −4.88257e12 −2.25666
\(552\) 2.49874e12 + 4.32795e12i 1.14550 + 1.98407i
\(553\) −8.53468e11 + 1.47825e12i −0.388083 + 0.672179i
\(554\) −4.32886e11 + 7.49781e11i −0.195245 + 0.338174i
\(555\) 1.27833e12 0.571906
\(556\) −8.54161e11 + 1.47945e12i −0.379056 + 0.656544i
\(557\) 1.47143e12 0.647725 0.323863 0.946104i \(-0.395018\pi\)
0.323863 + 0.946104i \(0.395018\pi\)
\(558\) −2.71705e12 −1.18644
\(559\) −1.26810e12 3.61526e12i −0.549286 1.56598i
\(560\) −9.31776e10 −0.0400373
\(561\) −4.57137e12 −1.94856
\(562\) 2.15421e11 3.73120e11i 0.0910908 0.157774i
\(563\) 1.68649e12 0.707452 0.353726 0.935349i \(-0.384914\pi\)
0.353726 + 0.935349i \(0.384914\pi\)
\(564\) −5.01972e11 + 8.69440e11i −0.208893 + 0.361813i
\(565\) −4.29083e11 + 7.43194e11i −0.177143 + 0.306820i
\(566\) 1.28181e11 + 2.22016e11i 0.0524989 + 0.0909307i
\(567\) −8.42209e11 −0.342213
\(568\) 8.47185e11 + 1.46737e12i 0.341516 + 0.591523i
\(569\) 1.17506e12 2.03526e12i 0.469954 0.813984i −0.529456 0.848337i \(-0.677604\pi\)
0.999410 + 0.0343536i \(0.0109373\pi\)
\(570\) 1.24094e12 0.492396
\(571\) 2.10903e11 3.65294e11i 0.0830270 0.143807i −0.821522 0.570177i \(-0.806875\pi\)
0.904549 + 0.426370i \(0.140208\pi\)
\(572\) −1.38897e12 2.40577e12i −0.542515 0.939664i
\(573\) 1.50112e12 + 2.60001e12i 0.581726 + 1.00758i
\(574\) 7.71354e10 + 1.33602e11i 0.0296586 + 0.0513702i
\(575\) −3.64496e12 −1.39055
\(576\) −7.43494e11 1.28777e12i −0.281434 0.487458i
\(577\) 1.11070e12 + 1.92379e12i 0.417163 + 0.722548i 0.995653 0.0931416i \(-0.0296909\pi\)
−0.578489 + 0.815690i \(0.696358\pi\)
\(578\) 5.83890e11 1.01133e12i 0.217598 0.376891i
\(579\) 1.78145e12 3.08556e12i 0.658749 1.14099i
\(580\) 8.87897e11 0.325789
\(581\) −2.31358e11 −0.0842349
\(582\) −4.85326e11 + 8.40609e11i −0.175340 + 0.303697i
\(583\) 1.57240e12 2.72348e12i 0.563708 0.976372i
\(584\) −5.95292e11 1.03108e12i −0.211774 0.366803i
\(585\) 1.11765e12 + 1.93583e12i 0.394554 + 0.683387i
\(586\) 1.86287e12 0.652594
\(587\) 2.50749e12 + 4.34311e12i 0.871703 + 1.50983i 0.860234 + 0.509899i \(0.170317\pi\)
0.0114687 + 0.999934i \(0.496349\pi\)
\(588\) 7.88163e11 + 1.36514e12i 0.271905 + 0.470954i
\(589\) 3.75445e12 + 6.50290e12i 1.28537 + 2.22632i
\(590\) 2.52703e11 4.37695e11i 0.0858572 0.148709i
\(591\) −3.20479e12 −1.08058
\(592\) −2.64701e11 + 4.58476e11i −0.0885745 + 0.153415i
\(593\) −2.09996e12 3.63724e12i −0.697374 1.20789i −0.969374 0.245590i \(-0.921018\pi\)
0.272000 0.962297i \(-0.412315\pi\)
\(594\) −9.17632e11 −0.302433
\(595\) −4.93993e11 8.55620e11i −0.161582 0.279869i
\(596\) −2.59537e11 + 4.49532e11i −0.0842543 + 0.145933i
\(597\) 5.46849e11 9.47170e11i 0.176191 0.305171i
\(598\) −4.56893e12 −1.46103
\(599\) 1.75375e12 3.03759e12i 0.556605 0.964069i −0.441171 0.897423i \(-0.645437\pi\)
0.997777 0.0666459i \(-0.0212298\pi\)
\(600\) 4.04898e12 1.27545
\(601\) −1.85376e12 −0.579587 −0.289793 0.957089i \(-0.593587\pi\)
−0.289793 + 0.957089i \(0.593587\pi\)
\(602\) 4.15069e11 + 1.18334e12i 0.128806 + 0.367218i
\(603\) −3.53917e12 −1.09012
\(604\) 4.31523e12 1.31928
\(605\) −5.78503e10 + 1.00200e11i −0.0175552 + 0.0304066i
\(606\) 4.07963e10 0.0122883
\(607\) 1.33696e12 2.31568e12i 0.399732 0.692356i −0.593961 0.804494i \(-0.702437\pi\)
0.993693 + 0.112138i \(0.0357699\pi\)
\(608\) −2.88279e12 + 4.99314e12i −0.855554 + 1.48186i
\(609\) 2.48859e12 + 4.31036e12i 0.733120 + 1.26980i
\(610\) 8.97339e11 0.262405
\(611\) −1.12434e12 1.94741e12i −0.326371 0.565291i
\(612\) −2.19115e12 + 3.79518e12i −0.631379 + 1.09358i
\(613\) 2.38772e12 0.682986 0.341493 0.939884i \(-0.389067\pi\)
0.341493 + 0.939884i \(0.389067\pi\)
\(614\) 1.65309e11 2.86323e11i 0.0469395 0.0813016i
\(615\) −1.44330e11 2.49987e11i −0.0406835 0.0704659i
\(616\) 1.11383e12 + 1.92920e12i 0.311677 + 0.539840i
\(617\) −1.19923e11 2.07713e11i −0.0333135 0.0577006i 0.848888 0.528573i \(-0.177273\pi\)
−0.882201 + 0.470872i \(0.843939\pi\)
\(618\) 5.40557e12 1.49071
\(619\) −2.49338e12 4.31866e12i −0.682622 1.18234i −0.974178 0.225782i \(-0.927506\pi\)
0.291556 0.956554i \(-0.405827\pi\)
\(620\) −6.82750e11 1.18256e12i −0.185566 0.321410i
\(621\) 1.67717e12 2.90494e12i 0.452547 0.783835i
\(622\) 8.19825e11 1.41998e12i 0.219616 0.380386i
\(623\) −9.26697e11 −0.246457
\(624\) −1.60052e12 −0.422600
\(625\) −1.24743e12 + 2.16061e12i −0.327006 + 0.566392i
\(626\) −4.39552e10 + 7.61326e10i −0.0114400 + 0.0198147i
\(627\) 4.67789e12 + 8.10235e12i 1.20878 + 2.09366i
\(628\) −2.65759e11 4.60308e11i −0.0681820 0.118095i
\(629\) −5.61339e12 −1.42987
\(630\) −3.65827e11 6.33631e11i −0.0925216 0.160252i
\(631\) −2.10067e12 3.63846e12i −0.527503 0.913662i −0.999486 0.0320544i \(-0.989795\pi\)
0.471983 0.881608i \(-0.343538\pi\)
\(632\) −2.09720e12 3.63246e12i −0.522893 0.905677i
\(633\) −6.57888e11 + 1.13950e12i −0.162868 + 0.282095i
\(634\) 1.83557e12 0.451200
\(635\) −1.08576e12 + 1.88060e12i −0.265005 + 0.459001i
\(636\) −2.60614e12 4.51397e12i −0.631598 1.09396i
\(637\) −3.53072e12 −0.849643
\(638\) −1.50597e12 2.60841e12i −0.359851 0.623279i
\(639\) 2.09781e12 3.63351e12i 0.497751 0.862130i
\(640\) 5.91991e11 1.02536e12i 0.139478 0.241583i
\(641\) −2.62295e10 −0.00613661 −0.00306831 0.999995i \(-0.500977\pi\)
−0.00306831 + 0.999995i \(0.500977\pi\)
\(642\) 9.76436e11 1.69124e12i 0.226849 0.392913i
\(643\) 7.90595e12 1.82392 0.911958 0.410284i \(-0.134571\pi\)
0.911958 + 0.410284i \(0.134571\pi\)
\(644\) −3.32376e12 −0.761454
\(645\) −7.76646e11 2.21417e12i −0.176687 0.503723i
\(646\) −5.44920e12 −1.23108
\(647\) 1.38448e11 0.0310611 0.0155305 0.999879i \(-0.495056\pi\)
0.0155305 + 0.999879i \(0.495056\pi\)
\(648\) 1.03477e12 1.79227e12i 0.230545 0.399315i
\(649\) 3.81039e12 0.843080
\(650\) −1.85088e12 + 3.20582e12i −0.406694 + 0.704415i
\(651\) 3.82720e12 6.62891e12i 0.835155 1.44653i
\(652\) −4.38010e10 7.58656e10i −0.00949227 0.0164411i
\(653\) −5.46512e12 −1.17622 −0.588112 0.808780i \(-0.700129\pi\)
−0.588112 + 0.808780i \(0.700129\pi\)
\(654\) 1.56925e11 + 2.71801e11i 0.0335422 + 0.0580968i
\(655\) −1.07407e12 + 1.86035e12i −0.228007 + 0.394919i
\(656\) 1.19544e11 0.0252036
\(657\) −1.47407e12 + 2.55316e12i −0.308655 + 0.534606i
\(658\) 3.68015e11 + 6.37421e11i 0.0765330 + 0.132559i
\(659\) 1.40594e12 + 2.43516e12i 0.290391 + 0.502972i 0.973902 0.226968i \(-0.0728813\pi\)
−0.683511 + 0.729940i \(0.739548\pi\)
\(660\) −8.50678e11 1.47342e12i −0.174509 0.302258i
\(661\) 5.49522e12 1.11964 0.559820 0.828614i \(-0.310870\pi\)
0.559820 + 0.828614i \(0.310870\pi\)
\(662\) 7.69707e10 + 1.33317e11i 0.0155763 + 0.0269790i
\(663\) −8.48534e12 1.46970e13i −1.70553 2.95406i
\(664\) 2.84254e11 4.92343e11i 0.0567481 0.0982905i
\(665\) −1.01101e12 + 1.75112e12i −0.200473 + 0.347230i
\(666\) −4.15701e12 −0.818741
\(667\) 1.10099e13 2.15386
\(668\) −2.69687e12 + 4.67112e12i −0.524042 + 0.907667i
\(669\) −1.75054e12 + 3.03203e12i −0.337875 + 0.585216i
\(670\) 4.00145e11 + 6.93072e11i 0.0767151 + 0.132874i
\(671\) 3.38264e12 + 5.85890e12i 0.644176 + 1.11575i
\(672\) 5.87730e12 1.11177
\(673\) 3.59897e12 + 6.23360e12i 0.676255 + 1.17131i 0.976100 + 0.217321i \(0.0697318\pi\)
−0.299845 + 0.953988i \(0.596935\pi\)
\(674\) 5.13379e11 + 8.89199e11i 0.0958228 + 0.165970i
\(675\) −1.35884e12 2.35359e12i −0.251943 0.436379i
\(676\) 3.28408e12 5.68819e12i 0.604858 1.04764i
\(677\) −1.67765e12 −0.306940 −0.153470 0.988153i \(-0.549045\pi\)
−0.153470 + 0.988153i \(0.549045\pi\)
\(678\) 2.41245e12 4.17849e12i 0.438455 0.759426i
\(679\) −7.90800e11 1.36971e12i −0.142775 0.247294i
\(680\) 2.42774e12 0.435424
\(681\) 3.24841e12 + 5.62641e12i 0.578773 + 1.00246i
\(682\) −2.31603e12 + 4.01148e12i −0.409934 + 0.710027i
\(683\) 3.12845e12 5.41863e12i 0.550092 0.952788i −0.448175 0.893946i \(-0.647926\pi\)
0.998267 0.0588419i \(-0.0187408\pi\)
\(684\) 8.96882e12 1.56669
\(685\) 7.65153e10 1.32528e11i 0.0132783 0.0229986i
\(686\) 3.41291e12 0.588392
\(687\) 3.02404e12 0.517943
\(688\) 9.54935e11 + 1.79938e11i 0.162490 + 0.0306178i
\(689\) 1.16747e13 1.97360
\(690\) −2.79824e12 −0.469964
\(691\) −5.13616e11 + 8.89609e11i −0.0857013 + 0.148439i −0.905690 0.423941i \(-0.860646\pi\)
0.819989 + 0.572380i \(0.193980\pi\)
\(692\) −4.64476e12 −0.769991
\(693\) 2.75807e12 4.77712e12i 0.454261 0.786803i
\(694\) −3.30849e12 + 5.73048e12i −0.541393 + 0.937720i
\(695\) −1.17173e12 2.02950e12i −0.190501 0.329957i
\(696\) −1.22302e13 −1.97558
\(697\) 6.33780e11 + 1.09774e12i 0.101716 + 0.176178i
\(698\) 1.48073e12 2.56470e12i 0.236117 0.408966i
\(699\) 3.92005e12 0.621075
\(700\) −1.34646e12 + 2.33214e12i −0.211959 + 0.367124i
\(701\) −3.87377e12 6.70956e12i −0.605902 1.04945i −0.991908 0.126957i \(-0.959479\pi\)
0.386006 0.922496i \(-0.373854\pi\)
\(702\) −1.70330e12 2.95020e12i −0.264712 0.458495i
\(703\) 5.74420e12 + 9.94924e12i 0.887013 + 1.53635i
\(704\) −2.53503e12 −0.388961
\(705\) −6.88602e11 1.19269e12i −0.104983 0.181835i
\(706\) 1.17825e10 + 2.04079e10i 0.00178491 + 0.00309156i
\(707\) −3.32371e10 + 5.75684e10i −0.00500307 + 0.00866557i
\(708\) 3.15773e12 5.46935e12i 0.472308 0.818061i
\(709\) 6.42186e11 0.0954449 0.0477224 0.998861i \(-0.484804\pi\)
0.0477224 + 0.998861i \(0.484804\pi\)
\(710\) −9.48729e11 −0.140113
\(711\) −5.19311e12 + 8.99473e12i −0.762104 + 1.32000i
\(712\) 1.13857e12 1.97206e12i 0.166035 0.287581i
\(713\) −8.46606e12 1.46636e13i −1.22681 2.12490i
\(714\) 2.77739e12 + 4.81059e12i 0.399941 + 0.692718i
\(715\) 3.81077e12 0.545300
\(716\) −1.62326e12 2.81157e12i −0.230823 0.399797i
\(717\) −6.26773e12 1.08560e13i −0.885674 1.53403i
\(718\) −1.88271e12 3.26095e12i −0.264377 0.457915i
\(719\) −4.21921e12 + 7.30789e12i −0.588778 + 1.01979i 0.405615 + 0.914044i \(0.367057\pi\)
−0.994393 + 0.105749i \(0.966276\pi\)
\(720\) −5.66959e11 −0.0786240
\(721\) −4.40397e12 + 7.62790e12i −0.606926 + 1.05123i
\(722\) 3.54247e12 + 6.13574e12i 0.485164 + 0.840329i
\(723\) 6.02580e12 0.820148
\(724\) −2.54478e12 4.40768e12i −0.344212 0.596193i
\(725\) 4.46012e12 7.72515e12i 0.599550 1.03845i
\(726\) 3.25254e11 5.63357e11i 0.0434518 0.0752608i
\(727\) 1.06932e12 0.141972 0.0709858 0.997477i \(-0.477385\pi\)
0.0709858 + 0.997477i \(0.477385\pi\)
\(728\) −4.13495e12 + 7.16194e12i −0.545606 + 0.945017i
\(729\) −1.18503e13 −1.55402
\(730\) 6.66643e11 0.0868842
\(731\) 3.41040e12 + 9.72283e12i 0.441750 + 1.25940i
\(732\) 1.12130e13 1.44351
\(733\) −6.09483e12 −0.779819 −0.389910 0.920853i \(-0.627494\pi\)
−0.389910 + 0.920853i \(0.627494\pi\)
\(734\) −3.86413e11 + 6.69287e11i −0.0491382 + 0.0851099i
\(735\) −2.16239e12 −0.273301
\(736\) 6.50052e12 1.12592e13i 0.816579 1.41436i
\(737\) −3.01680e12 + 5.22525e12i −0.376654 + 0.652385i
\(738\) 4.69347e11 + 8.12933e11i 0.0582426 + 0.100879i
\(739\) −1.25293e13 −1.54536 −0.772678 0.634798i \(-0.781083\pi\)
−0.772678 + 0.634798i \(0.781083\pi\)
\(740\) −1.04459e12 1.80927e12i −0.128056 0.221800i
\(741\) −1.73661e13 + 3.00790e13i −2.11603 + 3.66506i
\(742\) −3.82133e12 −0.462803
\(743\) −1.37856e12 + 2.38773e12i −0.165949 + 0.287432i −0.936992 0.349351i \(-0.886402\pi\)
0.771043 + 0.636783i \(0.219735\pi\)
\(744\) 9.40446e12 + 1.62890e13i 1.12527 + 1.94902i
\(745\) −3.56032e11 6.16665e11i −0.0423434 0.0733409i
\(746\) −7.72821e11 1.33857e12i −0.0913596 0.158240i
\(747\) −1.40775e12 −0.165418
\(748\) 3.73549e12 + 6.47005e12i 0.436305 + 0.755702i
\(749\) 1.59102e12 + 2.75574e12i 0.184718 + 0.319941i
\(750\) −2.42193e12 + 4.19490e12i −0.279502 + 0.484113i
\(751\) −1.30541e12 + 2.26104e12i −0.149750 + 0.259375i −0.931135 0.364675i \(-0.881180\pi\)
0.781385 + 0.624049i \(0.214514\pi\)
\(752\) 5.70350e11 0.0650370
\(753\) −6.01724e12 −0.682055
\(754\) 5.59072e12 9.68341e12i 0.629936 1.09108i
\(755\) −2.95980e12 + 5.12653e12i −0.331514 + 0.574199i
\(756\) −1.23910e12 2.14619e12i −0.137962 0.238957i
\(757\) −1.21095e11 2.09743e11i −0.0134028 0.0232143i 0.859246 0.511562i \(-0.170933\pi\)
−0.872649 + 0.488348i \(0.837600\pi\)
\(758\) −2.48279e9 −0.000273167
\(759\) −1.05484e13 1.82703e13i −1.15371 1.99829i
\(760\) −2.48432e12 4.30296e12i −0.270113 0.467849i
\(761\) 3.23267e12 + 5.59914e12i 0.349406 + 0.605188i 0.986144 0.165892i \(-0.0530502\pi\)
−0.636738 + 0.771080i \(0.719717\pi\)
\(762\) 6.10453e12 1.05734e13i 0.655926 1.13610i