Properties

Label 43.9.f.a.2.1
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.1
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.4582 - 27.9461i) q^{2} +(-47.5652 + 98.7701i) q^{3} +(-440.252 + 552.058i) q^{4} +(167.318 + 38.1893i) q^{5} +3400.38 q^{6} -4550.37i q^{7} +(13611.4 + 3106.71i) q^{8} +(-3402.37 - 4266.43i) q^{9} +O(q^{10})\) \(q+(-13.4582 - 27.9461i) q^{2} +(-47.5652 + 98.7701i) q^{3} +(-440.252 + 552.058i) q^{4} +(167.318 + 38.1893i) q^{5} +3400.38 q^{6} -4550.37i q^{7} +(13611.4 + 3106.71i) q^{8} +(-3402.37 - 4266.43i) q^{9} +(-1184.55 - 5189.85i) q^{10} +(14095.9 + 17675.8i) q^{11} +(-33586.2 - 69742.4i) q^{12} +(-2194.69 + 9615.54i) q^{13} +(-127165. + 61239.6i) q^{14} +(-11730.5 + 14709.5i) q^{15} +(-56139.8 - 245965. i) q^{16} +(7787.25 + 34118.2i) q^{17} +(-73440.8 + 152501. i) q^{18} +(-21543.4 - 17180.3i) q^{19} +(-94744.8 + 75556.5i) q^{20} +(449440. + 216439. i) q^{21} +(304264. - 631810. i) q^{22} +(-32725.8 - 41036.8i) q^{23} +(-954278. + 1.19663e6i) q^{24} +(-325404. - 156706. i) q^{25} +(298254. - 68074.5i) q^{26} +(-117996. + 26931.9i) q^{27} +(2.51207e6 + 2.00331e6i) q^{28} +(-355211. - 737604. i) q^{29} +(568945. + 129858. i) q^{30} +(-1.19506e6 + 575511. i) q^{31} +(-3.32386e6 + 2.65069e6i) q^{32} +(-2.41631e6 + 551507. i) q^{33} +(848669. - 676791. i) q^{34} +(173775. - 761359. i) q^{35} +3.85322e6 q^{36} -665026. i q^{37} +(-190189. + 833271. i) q^{38} +(-845337. - 674134. i) q^{39} +(2.15879e6 + 1.03962e6i) q^{40} +(-102802. + 49507.0i) q^{41} -1.54730e7i q^{42} +(3.21441e6 + 1.16439e6i) q^{43} -1.59638e7 q^{44} +(-406346. - 843785. i) q^{45} +(-706392. + 1.46684e6i) q^{46} +(1.40439e6 - 1.76106e6i) q^{47} +(2.69642e7 + 6.15441e6i) q^{48} -1.49411e7 q^{49} +1.12028e7i q^{50} +(-3.74025e6 - 853689. i) q^{51} +(-4.34213e6 - 5.44485e6i) q^{52} +(-18097.5 - 79290.3i) q^{53} +(2.34065e6 + 2.93509e6i) q^{54} +(1.68348e6 + 3.49579e6i) q^{55} +(1.41367e7 - 6.19368e7i) q^{56} +(2.72162e6 - 1.31066e6i) q^{57} +(-1.58327e7 + 1.98536e7i) q^{58} +(-1.00606e6 - 4.40782e6i) q^{59} +(-2.95617e6 - 1.29518e7i) q^{60} +(1.81941e6 - 3.77804e6i) q^{61} +(3.21666e7 + 2.56520e7i) q^{62} +(-1.94138e7 + 1.54820e7i) q^{63} +(6.06194e7 + 2.91928e7i) q^{64} +(-734421. + 1.52504e6i) q^{65} +(4.79316e7 + 6.01043e7i) q^{66} +(-1.68887e7 + 2.11778e7i) q^{67} +(-2.22636e7 - 1.07216e7i) q^{68} +(5.60981e6 - 1.28040e6i) q^{69} +(-2.36157e7 + 5.39014e6i) q^{70} +(-2.99181e7 - 2.38589e7i) q^{71} +(-3.30564e7 - 6.86422e7i) q^{72} +(-1.12535e7 - 2.56854e6i) q^{73} +(-1.85849e7 + 8.95003e6i) q^{74} +(3.09558e7 - 2.46864e7i) q^{75} +(1.89691e7 - 4.32957e6i) q^{76} +(8.04312e7 - 6.41418e7i) q^{77} +(-7.46277e6 + 3.26965e7i) q^{78} -4.59536e7 q^{79} -4.32983e7i q^{80} +(1.09194e7 - 4.78410e7i) q^{81} +(2.76706e6 + 2.20665e6i) q^{82} +(-6.95224e7 - 3.34802e7i) q^{83} +(-3.17354e8 + 1.52830e8i) q^{84} +6.00597e6i q^{85} +(-1.07199e7 - 1.05501e8i) q^{86} +8.97489e7 q^{87} +(1.36952e8 + 2.84384e8i) q^{88} +(-2.73054e7 + 5.67003e7i) q^{89} +(-1.81119e7 + 2.27116e7i) q^{90} +(4.37543e7 + 9.98663e6i) q^{91} +3.70623e7 q^{92} -1.45410e8i q^{93} +(-6.81153e7 - 1.55469e7i) q^{94} +(-2.94850e6 - 3.69731e6i) q^{95} +(-1.03709e8 - 4.54379e8i) q^{96} +(5.46929e7 + 6.85827e7i) q^{97} +(2.01079e8 + 4.17545e8i) q^{98} +(2.74529e7 - 1.20279e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −13.4582 27.9461i −0.841135 1.74663i −0.642067 0.766648i \(-0.721923\pi\)
−0.199068 0.979986i \(-0.563791\pi\)
\(3\) −47.5652 + 98.7701i −0.587224 + 1.21938i 0.369729 + 0.929140i \(0.379451\pi\)
−0.956953 + 0.290244i \(0.906264\pi\)
\(4\) −440.252 + 552.058i −1.71973 + 2.15648i
\(5\) 167.318 + 38.1893i 0.267709 + 0.0611028i 0.354268 0.935144i \(-0.384730\pi\)
−0.0865592 + 0.996247i \(0.527587\pi\)
\(6\) 3400.38 2.62375
\(7\) 4550.37i 1.89520i −0.319463 0.947599i \(-0.603503\pi\)
0.319463 0.947599i \(-0.396497\pi\)
\(8\) 13611.4 + 3106.71i 3.32309 + 0.758474i
\(9\) −3402.37 4266.43i −0.518574 0.650272i
\(10\) −1184.55 5189.85i −0.118455 0.518985i
\(11\) 14095.9 + 17675.8i 0.962772 + 1.20728i 0.978257 + 0.207398i \(0.0664995\pi\)
−0.0154847 + 0.999880i \(0.504929\pi\)
\(12\) −33586.2 69742.4i −1.61970 3.36335i
\(13\) −2194.69 + 9615.54i −0.0768420 + 0.336667i −0.998707 0.0508454i \(-0.983808\pi\)
0.921865 + 0.387512i \(0.126666\pi\)
\(14\) −127165. + 61239.6i −3.31022 + 1.59412i
\(15\) −11730.5 + 14709.5i −0.231713 + 0.290559i
\(16\) −56139.8 245965.i −0.856626 3.75312i
\(17\) 7787.25 + 34118.2i 0.0932370 + 0.408498i 0.999911 0.0133339i \(-0.00424443\pi\)
−0.906674 + 0.421832i \(0.861387\pi\)
\(18\) −73440.8 + 152501.i −0.699596 + 1.45273i
\(19\) −21543.4 17180.3i −0.165311 0.131831i 0.537340 0.843365i \(-0.319429\pi\)
−0.702651 + 0.711535i \(0.748000\pi\)
\(20\) −94744.8 + 75556.5i −0.592155 + 0.472228i
\(21\) 449440. + 216439.i 2.31097 + 1.11291i
\(22\) 304264. 631810.i 1.29885 2.69709i
\(23\) −32725.8 41036.8i −0.116944 0.146643i 0.719914 0.694064i \(-0.244181\pi\)
−0.836858 + 0.547420i \(0.815610\pi\)
\(24\) −954278. + 1.19663e6i −2.87627 + 3.60673i
\(25\) −325404. 156706.i −0.833034 0.401168i
\(26\) 298254. 68074.5i 0.652668 0.148967i
\(27\) −117996. + 26931.9i −0.222031 + 0.0506771i
\(28\) 2.51207e6 + 2.00331e6i 4.08695 + 3.25923i
\(29\) −355211. 737604.i −0.502221 1.04287i −0.985855 0.167602i \(-0.946398\pi\)
0.483634 0.875271i \(-0.339317\pi\)
\(30\) 568945. + 129858.i 0.702402 + 0.160319i
\(31\) −1.19506e6 + 575511.i −1.29403 + 0.623170i −0.948957 0.315407i \(-0.897859\pi\)
−0.345070 + 0.938577i \(0.612145\pi\)
\(32\) −3.32386e6 + 2.65069e6i −3.16988 + 2.52790i
\(33\) −2.41631e6 + 551507.i −2.03750 + 0.465046i
\(34\) 848669. 676791.i 0.635071 0.506453i
\(35\) 173775. 761359.i 0.115802 0.507361i
\(36\) 3.85322e6 2.29411
\(37\) 665026.i 0.354839i −0.984135 0.177420i \(-0.943225\pi\)
0.984135 0.177420i \(-0.0567750\pi\)
\(38\) −190189. + 833271.i −0.0912117 + 0.399624i
\(39\) −845337. 674134.i −0.365403 0.291399i
\(40\) 2.15879e6 + 1.03962e6i 0.843277 + 0.406101i
\(41\) −102802. + 49507.0i −0.0363804 + 0.0175199i −0.451985 0.892025i \(-0.649284\pi\)
0.415605 + 0.909545i \(0.363570\pi\)
\(42\) 1.54730e7i 4.97253i
\(43\) 3.21441e6 + 1.16439e6i 0.940214 + 0.340583i
\(44\) −1.59638e7 −4.25918
\(45\) −406346. 843785.i −0.0990936 0.205770i
\(46\) −706392. + 1.46684e6i −0.157766 + 0.327605i
\(47\) 1.40439e6 1.76106e6i 0.287805 0.360896i −0.616820 0.787104i \(-0.711580\pi\)
0.904625 + 0.426208i \(0.140151\pi\)
\(48\) 2.69642e7 + 6.15441e6i 5.07953 + 1.15937i
\(49\) −1.49411e7 −2.59177
\(50\) 1.12028e7i 1.79244i
\(51\) −3.74025e6 853689.i −0.552867 0.126188i
\(52\) −4.34213e6 5.44485e6i −0.593867 0.744686i
\(53\) −18097.5 79290.3i −0.00229359 0.0100489i 0.973768 0.227542i \(-0.0730690\pi\)
−0.976062 + 0.217494i \(0.930212\pi\)
\(54\) 2.34065e6 + 2.93509e6i 0.275272 + 0.345180i
\(55\) 1.68348e6 + 3.49579e6i 0.183975 + 0.382027i
\(56\) 1.41367e7 6.19368e7i 1.43746 6.29792i
\(57\) 2.72162e6 1.31066e6i 0.257827 0.124163i
\(58\) −1.58327e7 + 1.98536e7i −1.39908 + 1.75439i
\(59\) −1.00606e6 4.40782e6i −0.0830260 0.363761i 0.916299 0.400495i \(-0.131162\pi\)
−0.999325 + 0.0367339i \(0.988305\pi\)
\(60\) −2.95617e6 1.29518e7i −0.228099 0.999368i
\(61\) 1.81941e6 3.77804e6i 0.131405 0.272865i −0.824877 0.565313i \(-0.808756\pi\)
0.956281 + 0.292448i \(0.0944698\pi\)
\(62\) 3.21666e7 + 2.56520e7i 2.17690 + 1.73602i
\(63\) −1.94138e7 + 1.54820e7i −1.23239 + 0.982801i
\(64\) 6.06194e7 + 2.91928e7i 3.61320 + 1.74003i
\(65\) −734421. + 1.52504e6i −0.0411426 + 0.0854335i
\(66\) 4.79316e7 + 6.01043e7i 2.52607 + 3.16760i
\(67\) −1.68887e7 + 2.11778e7i −0.838103 + 1.05095i 0.159859 + 0.987140i \(0.448896\pi\)
−0.997962 + 0.0638081i \(0.979675\pi\)
\(68\) −2.22636e7 1.07216e7i −1.04126 0.501444i
\(69\) 5.60981e6 1.28040e6i 0.247487 0.0564873i
\(70\) −2.36157e7 + 5.39014e6i −0.983580 + 0.224496i
\(71\) −2.99181e7 2.38589e7i −1.17734 0.938896i −0.178355 0.983966i \(-0.557077\pi\)
−0.998984 + 0.0450703i \(0.985649\pi\)
\(72\) −3.30564e7 6.86422e7i −1.23006 2.55424i
\(73\) −1.12535e7 2.56854e6i −0.396275 0.0904472i 0.0197394 0.999805i \(-0.493716\pi\)
−0.416015 + 0.909358i \(0.636573\pi\)
\(74\) −1.85849e7 + 8.95003e6i −0.619775 + 0.298468i
\(75\) 3.09558e7 2.46864e7i 0.978356 0.780213i
\(76\) 1.89691e7 4.32957e6i 0.568580 0.129775i
\(77\) 8.04312e7 6.41418e7i 2.28803 1.82464i
\(78\) −7.46277e6 + 3.26965e7i −0.201614 + 0.883330i
\(79\) −4.59536e7 −1.17981 −0.589903 0.807474i \(-0.700834\pi\)
−0.589903 + 0.807474i \(0.700834\pi\)
\(80\) 4.32983e7i 1.05709i
\(81\) 1.09194e7 4.78410e7i 0.253664 1.11138i
\(82\) 2.76706e6 + 2.20665e6i 0.0612016 + 0.0488067i
\(83\) −6.95224e7 3.34802e7i −1.46491 0.705466i −0.479802 0.877377i \(-0.659292\pi\)
−0.985112 + 0.171911i \(0.945006\pi\)
\(84\) −3.17354e8 + 1.52830e8i −6.37421 + 3.06966i
\(85\) 6.00597e6i 0.115056i
\(86\) −1.07199e7 1.05501e8i −0.195973 1.92869i
\(87\) 8.97489e7 1.56658
\(88\) 1.36952e8 + 2.84384e8i 2.28369 + 4.74213i
\(89\) −2.73054e7 + 5.67003e7i −0.435200 + 0.903703i 0.561871 + 0.827225i \(0.310082\pi\)
−0.997071 + 0.0764780i \(0.975633\pi\)
\(90\) −1.81119e7 + 2.27116e7i −0.276054 + 0.346160i
\(91\) 4.37543e7 + 9.98663e6i 0.638050 + 0.145631i
\(92\) 3.70623e7 0.517346
\(93\) 1.45410e8i 1.94385i
\(94\) −6.81153e7 1.55469e7i −0.872435 0.199128i
\(95\) −2.94850e6 3.69731e6i −0.0361999 0.0453932i
\(96\) −1.03709e8 4.54379e8i −1.22104 5.34974i
\(97\) 5.46929e7 + 6.85827e7i 0.617794 + 0.774689i 0.988032 0.154248i \(-0.0492953\pi\)
−0.370238 + 0.928937i \(0.620724\pi\)
\(98\) 2.01079e8 + 4.17545e8i 2.18003 + 4.52688i
\(99\) 2.74529e7 1.20279e8i 0.285790 1.25213i
\(100\) 2.29771e8 1.10652e8i 2.29771 1.10652i
\(101\) −8.73065e7 + 1.09479e8i −0.838998 + 1.05207i 0.158902 + 0.987294i \(0.449205\pi\)
−0.997900 + 0.0647759i \(0.979367\pi\)
\(102\) 2.64796e7 + 1.16015e8i 0.244631 + 1.07180i
\(103\) −1.49202e7 6.53699e7i −0.132564 0.580803i −0.996955 0.0779815i \(-0.975152\pi\)
0.864390 0.502821i \(-0.167705\pi\)
\(104\) −5.97454e7 + 1.24063e8i −0.510706 + 1.06049i
\(105\) 6.69338e7 + 5.33780e7i 0.550666 + 0.439142i
\(106\) −1.97230e6 + 1.57286e6i −0.0156225 + 0.0124585i
\(107\) −3.98080e7 1.91705e7i −0.303694 0.146251i 0.275830 0.961206i \(-0.411047\pi\)
−0.579524 + 0.814955i \(0.696761\pi\)
\(108\) 3.70801e7 7.69976e7i 0.272550 0.565956i
\(109\) 8.31885e7 + 1.04315e8i 0.589328 + 0.738995i 0.983672 0.179968i \(-0.0575996\pi\)
−0.394344 + 0.918963i \(0.629028\pi\)
\(110\) 7.50372e7 9.40937e7i 0.512514 0.642673i
\(111\) 6.56847e7 + 3.16321e7i 0.432685 + 0.208370i
\(112\) −1.11923e9 + 2.55457e8i −7.11291 + 1.62348i
\(113\) 5.94329e7 1.35652e7i 0.364513 0.0831978i −0.0363414 0.999339i \(-0.511570\pi\)
0.400855 + 0.916142i \(0.368713\pi\)
\(114\) −7.32559e7 5.84196e7i −0.433734 0.345891i
\(115\) −3.90845e6 8.11597e6i −0.0223467 0.0464033i
\(116\) 5.63583e8 + 1.28634e8i 3.11262 + 0.710435i
\(117\) 4.84912e7 2.33521e7i 0.258773 0.124619i
\(118\) −1.09642e8 + 8.74366e7i −0.565521 + 0.450988i
\(119\) 1.55250e8 3.54348e7i 0.774184 0.176702i
\(120\) −2.05366e8 + 1.63774e8i −0.990385 + 0.789806i
\(121\) −6.60373e7 + 2.89329e8i −0.308069 + 1.34974i
\(122\) −1.30068e8 −0.587124
\(123\) 1.25086e7i 0.0546497i
\(124\) 2.08412e8 9.13113e8i 0.881528 3.86223i
\(125\) −1.00875e8 8.04452e7i −0.413184 0.329503i
\(126\) 6.93937e8 + 3.34183e8i 2.75320 + 1.32587i
\(127\) −1.40891e7 + 6.78496e6i −0.0541587 + 0.0260815i −0.460767 0.887521i \(-0.652426\pi\)
0.406608 + 0.913603i \(0.366711\pi\)
\(128\) 9.98608e8i 3.72010i
\(129\) −2.67900e8 + 2.62103e8i −0.967418 + 0.946483i
\(130\) 5.25030e7 0.183828
\(131\) −1.30820e8 2.71651e8i −0.444212 0.922415i −0.996078 0.0884821i \(-0.971798\pi\)
0.551866 0.833933i \(-0.313916\pi\)
\(132\) 7.59321e8 1.57675e9i 2.50109 5.19357i
\(133\) −7.81768e7 + 9.80306e7i −0.249845 + 0.313296i
\(134\) 8.19128e8 + 1.86961e8i 2.54058 + 0.579871i
\(135\) −2.07714e7 −0.0625361
\(136\) 4.88588e8i 1.42819i
\(137\) −1.10163e7 2.51439e6i −0.0312718 0.00713758i 0.206856 0.978371i \(-0.433677\pi\)
−0.238128 + 0.971234i \(0.576534\pi\)
\(138\) −1.11280e8 1.39541e8i −0.306832 0.384756i
\(139\) −9.87636e7 4.32712e8i −0.264568 1.15915i −0.916234 0.400643i \(-0.868787\pi\)
0.651666 0.758506i \(-0.274071\pi\)
\(140\) 3.43810e8 + 4.31124e8i 0.894965 + 1.12225i
\(141\) 1.07139e8 + 2.22477e8i 0.271064 + 0.562871i
\(142\) −2.64122e8 + 1.15719e9i −0.649608 + 2.84612i
\(143\) −2.00898e8 + 9.67475e7i −0.480432 + 0.231364i
\(144\) −8.58383e8 + 1.07638e9i −1.99633 + 2.50331i
\(145\) −3.12647e7 1.36980e8i −0.0707266 0.309874i
\(146\) 7.96707e7 + 3.49060e8i 0.175343 + 0.768226i
\(147\) 7.10674e8 1.47573e9i 1.52195 3.16037i
\(148\) 3.67133e8 + 2.92779e8i 0.765203 + 0.610229i
\(149\) −2.60501e8 + 2.07742e8i −0.528523 + 0.421483i −0.851056 0.525076i \(-0.824037\pi\)
0.322533 + 0.946558i \(0.395466\pi\)
\(150\) −1.10650e9 5.32861e8i −2.18568 1.05257i
\(151\) 1.87546e8 3.89443e8i 0.360744 0.749093i −0.639055 0.769161i \(-0.720674\pi\)
0.999799 + 0.0200687i \(0.00638849\pi\)
\(152\) −2.39862e8 3.00777e8i −0.449352 0.563470i
\(153\) 1.19068e8 1.49306e8i 0.217284 0.272466i
\(154\) −2.87497e9 1.38451e9i −5.11153 2.46158i
\(155\) −2.21934e8 + 5.06549e7i −0.384500 + 0.0877596i
\(156\) 7.44323e8 1.69887e8i 1.25679 0.286854i
\(157\) 1.00011e8 + 7.97561e7i 0.164607 + 0.131270i 0.702329 0.711852i \(-0.252143\pi\)
−0.537722 + 0.843122i \(0.680715\pi\)
\(158\) 6.18450e8 + 1.28423e9i 0.992377 + 2.06069i
\(159\) 8.69232e6 + 1.98397e6i 0.0136003 + 0.00310417i
\(160\) −6.57370e8 + 3.16573e8i −1.00307 + 0.483052i
\(161\) −1.86733e8 + 1.48914e8i −0.277918 + 0.221632i
\(162\) −1.48393e9 + 3.38697e8i −2.15453 + 0.491758i
\(163\) 6.57719e8 5.24514e8i 0.931730 0.743030i −0.0348504 0.999393i \(-0.511095\pi\)
0.966581 + 0.256362i \(0.0825240\pi\)
\(164\) 1.79282e7 7.85484e7i 0.0247834 0.108583i
\(165\) −4.25354e8 −0.573872
\(166\) 2.39346e9i 3.15206i
\(167\) −3.71356e7 + 1.62702e8i −0.0477446 + 0.209183i −0.993174 0.116645i \(-0.962786\pi\)
0.945429 + 0.325828i \(0.105643\pi\)
\(168\) 5.44509e9 + 4.34232e9i 6.83547 + 5.45110i
\(169\) 6.47306e8 + 3.11726e8i 0.793529 + 0.382143i
\(170\) 1.67844e8 8.08293e7i 0.200960 0.0967772i
\(171\) 1.50367e8i 0.175861i
\(172\) −2.05796e9 + 1.26192e9i −2.35138 + 1.44184i
\(173\) −1.05209e9 −1.17454 −0.587269 0.809392i \(-0.699797\pi\)
−0.587269 + 0.809392i \(0.699797\pi\)
\(174\) −1.20785e9 2.50814e9i −1.31770 2.73624i
\(175\) −7.13072e8 + 1.48071e9i −0.760293 + 1.57876i
\(176\) 3.55627e9 4.45942e9i 3.70633 4.64759i
\(177\) 4.83214e8 + 1.10290e8i 0.492319 + 0.112369i
\(178\) 1.95204e9 1.94450
\(179\) 8.87644e8i 0.864623i −0.901724 0.432312i \(-0.857698\pi\)
0.901724 0.432312i \(-0.142302\pi\)
\(180\) 6.44713e8 + 1.47152e8i 0.614153 + 0.140176i
\(181\) 2.37712e8 + 2.98082e8i 0.221481 + 0.277729i 0.880141 0.474712i \(-0.157448\pi\)
−0.658660 + 0.752441i \(0.728876\pi\)
\(182\) −3.09764e8 1.35717e9i −0.282322 1.23694i
\(183\) 2.86617e8 + 3.59406e8i 0.255563 + 0.320465i
\(184\) −3.17954e8 6.60237e8i −0.277391 0.576008i
\(185\) 2.53969e7 1.11271e8i 0.0216817 0.0949937i
\(186\) −4.06366e9 + 1.95696e9i −3.39520 + 1.63504i
\(187\) −4.93296e8 + 6.18573e8i −0.403405 + 0.505853i
\(188\) 3.53918e8 + 1.55062e9i 0.283316 + 1.24129i
\(189\) 1.22550e8 + 5.36927e8i 0.0960431 + 0.420792i
\(190\) −6.36440e7 + 1.32158e8i −0.0488364 + 0.101410i
\(191\) −2.83719e8 2.26258e8i −0.213184 0.170009i 0.511076 0.859536i \(-0.329247\pi\)
−0.724260 + 0.689527i \(0.757819\pi\)
\(192\) −5.76675e9 + 4.59883e9i −4.24352 + 3.38409i
\(193\) −2.13461e8 1.02797e8i −0.153847 0.0740887i 0.355376 0.934723i \(-0.384353\pi\)
−0.509223 + 0.860635i \(0.670067\pi\)
\(194\) 1.18056e9 2.45145e9i 0.833451 1.73068i
\(195\) −1.15696e8 1.45078e8i −0.0800163 0.100337i
\(196\) 6.57783e9 8.24834e9i 4.45716 5.58910i
\(197\) 5.76297e8 + 2.77530e8i 0.382632 + 0.184266i 0.615305 0.788289i \(-0.289033\pi\)
−0.232673 + 0.972555i \(0.574747\pi\)
\(198\) −3.73079e9 + 8.51529e8i −2.42740 + 0.554037i
\(199\) −1.23465e9 + 2.81801e8i −0.787284 + 0.179692i −0.597218 0.802079i \(-0.703727\pi\)
−0.190066 + 0.981771i \(0.560870\pi\)
\(200\) −3.94236e9 3.14393e9i −2.46397 1.96495i
\(201\) −1.28842e9 2.67542e9i −0.789354 1.63911i
\(202\) 4.23450e9 + 9.66496e8i 2.54329 + 0.580490i
\(203\) −3.35637e9 + 1.61634e9i −1.97645 + 0.951808i
\(204\) 2.11794e9 1.68900e9i 1.22291 0.975234i
\(205\) −1.90913e7 + 4.35747e6i −0.0108099 + 0.00246728i
\(206\) −1.62604e9 + 1.29672e9i −0.902946 + 0.720075i
\(207\) −6.37357e7 + 2.79244e8i −0.0347138 + 0.152091i
\(208\) 2.48829e9 1.32938
\(209\) 6.22969e8i 0.326499i
\(210\) 5.90902e8 2.58891e9i 0.303835 1.33119i
\(211\) −2.44893e9 1.95296e9i −1.23551 0.985287i −0.999910 0.0134367i \(-0.995723\pi\)
−0.235601 0.971850i \(-0.575706\pi\)
\(212\) 5.17403e7 + 2.49168e7i 0.0256145 + 0.0123353i
\(213\) 3.77961e9 1.82016e9i 1.83624 0.884285i
\(214\) 1.37048e9i 0.653459i
\(215\) 4.93361e8 + 3.17579e8i 0.230893 + 0.148627i
\(216\) −1.68976e9 −0.776266
\(217\) 2.61879e9 + 5.43797e9i 1.18103 + 2.45244i
\(218\) 1.79564e9 3.72869e9i 0.795048 1.65094i
\(219\) 7.88971e8 9.89338e8i 0.342992 0.430099i
\(220\) −2.67103e9 6.09646e8i −1.14022 0.260248i
\(221\) −3.45155e8 −0.144692
\(222\) 2.26134e9i 0.931011i
\(223\) 9.86449e8 + 2.25151e8i 0.398892 + 0.0910445i 0.417261 0.908787i \(-0.362990\pi\)
−0.0183689 + 0.999831i \(0.505847\pi\)
\(224\) 1.20616e10 + 1.51248e10i 4.79086 + 6.00755i
\(225\) 4.38567e8 + 1.92149e9i 0.171122 + 0.749734i
\(226\) −1.17895e9 1.47836e9i −0.451921 0.566691i
\(227\) −1.86862e9 3.88023e9i −0.703749 1.46135i −0.878998 0.476826i \(-0.841787\pi\)
0.175249 0.984524i \(-0.443927\pi\)
\(228\) −4.74635e8 + 2.07951e9i −0.175639 + 0.769524i
\(229\) 4.52977e8 2.18142e8i 0.164716 0.0793228i −0.349709 0.936858i \(-0.613720\pi\)
0.514425 + 0.857535i \(0.328005\pi\)
\(230\) −1.74210e8 + 2.18452e8i −0.0622531 + 0.0780629i
\(231\) 2.50956e9 + 1.09951e10i 0.881353 + 3.86146i
\(232\) −2.54340e9 1.11434e10i −0.877935 3.84649i
\(233\) −1.57827e9 + 3.27731e9i −0.535497 + 1.11197i 0.441212 + 0.897403i \(0.354549\pi\)
−0.976709 + 0.214568i \(0.931166\pi\)
\(234\) −1.30520e9 1.04087e9i −0.435326 0.347161i
\(235\) 3.02234e8 2.41024e8i 0.0990996 0.0790293i
\(236\) 2.87629e9 + 1.38515e9i 0.927225 + 0.446528i
\(237\) 2.18579e9 4.53884e9i 0.692811 1.43864i
\(238\) −3.07965e9 3.86176e9i −0.959828 1.20359i
\(239\) −7.54767e7 + 9.46448e7i −0.0231324 + 0.0290071i −0.793263 0.608879i \(-0.791620\pi\)
0.770131 + 0.637886i \(0.220191\pi\)
\(240\) 4.27657e9 + 2.05949e9i 1.28899 + 0.620747i
\(241\) −5.85813e9 + 1.33708e9i −1.73656 + 0.396359i −0.969476 0.245185i \(-0.921151\pi\)
−0.767087 + 0.641544i \(0.778294\pi\)
\(242\) 8.97436e9 2.04834e9i 2.61663 0.597228i
\(243\) 3.58504e9 + 2.85898e9i 1.02818 + 0.819946i
\(244\) 1.28470e9 + 2.66771e9i 0.362446 + 0.752626i
\(245\) −2.49991e9 5.70588e8i −0.693841 0.158365i
\(246\) −3.49567e8 + 1.68343e8i −0.0954531 + 0.0459678i
\(247\) 2.12479e8 1.69446e8i 0.0570859 0.0455244i
\(248\) −1.80544e10 + 4.12079e9i −4.77283 + 1.08937i
\(249\) 6.61369e9 5.27424e9i 1.72047 1.37203i
\(250\) −8.90540e8 + 3.90171e9i −0.227978 + 0.998838i
\(251\) 4.31771e9 1.08782 0.543912 0.839142i \(-0.316942\pi\)
0.543912 + 0.839142i \(0.316942\pi\)
\(252\) 1.75336e10i 4.34778i
\(253\) 2.64056e8 1.15691e9i 0.0644487 0.282368i
\(254\) 3.79227e8 + 3.02423e8i 0.0911096 + 0.0726575i
\(255\) −5.93210e8 2.85675e8i −0.140297 0.0675634i
\(256\) −1.23887e10 + 5.96607e9i −2.88446 + 1.38908i
\(257\) 3.29355e9i 0.754974i 0.926015 + 0.377487i \(0.123212\pi\)
−0.926015 + 0.377487i \(0.876788\pi\)
\(258\) 1.09302e10 + 3.95936e9i 2.46689 + 0.893605i
\(259\) −3.02611e9 −0.672491
\(260\) −5.18581e8 1.07685e9i −0.113481 0.235646i
\(261\) −1.93838e9 + 4.02509e9i −0.417712 + 0.867387i
\(262\) −5.83100e9 + 7.31184e9i −1.23748 + 1.55175i
\(263\) 7.98248e9 + 1.82195e9i 1.66846 + 0.380814i 0.949383 0.314120i \(-0.101710\pi\)
0.719073 + 0.694935i \(0.244567\pi\)
\(264\) −3.46027e10 −7.12352
\(265\) 1.39578e7i 0.00283031i
\(266\) 3.79169e9 + 8.65429e8i 0.757367 + 0.172864i
\(267\) −4.30151e9 5.39392e9i −0.846400 1.06135i
\(268\) −4.25608e9 1.86471e10i −0.825032 3.61470i
\(269\) 2.59605e9 + 3.25535e9i 0.495797 + 0.621710i 0.965276 0.261234i \(-0.0841294\pi\)
−0.469478 + 0.882944i \(0.655558\pi\)
\(270\) 2.79545e8 + 5.80481e8i 0.0526013 + 0.109228i
\(271\) −7.47451e8 + 3.27480e9i −0.138582 + 0.607166i 0.857166 + 0.515040i \(0.172223\pi\)
−0.995747 + 0.0921251i \(0.970634\pi\)
\(272\) 7.95469e9 3.83077e9i 1.45327 0.699860i
\(273\) −3.06756e9 + 3.84660e9i −0.552258 + 0.692510i
\(274\) 7.79912e7 + 3.41702e8i 0.0138370 + 0.0606241i
\(275\) −1.81697e9 7.96069e9i −0.317701 1.39194i
\(276\) −1.76287e9 + 3.66064e9i −0.303798 + 0.630843i
\(277\) 4.14080e9 + 3.30218e9i 0.703340 + 0.560895i 0.908526 0.417828i \(-0.137209\pi\)
−0.205186 + 0.978723i \(0.565780\pi\)
\(278\) −1.07635e10 + 8.58357e9i −1.80207 + 1.43711i
\(279\) 6.52141e9 + 3.14055e9i 1.07628 + 0.518308i
\(280\) 4.73065e9 9.82329e9i 0.769641 1.59818i
\(281\) 3.31540e9 + 4.15738e9i 0.531754 + 0.666799i 0.973058 0.230559i \(-0.0740555\pi\)
−0.441304 + 0.897358i \(0.645484\pi\)
\(282\) 4.77548e9 5.98826e9i 0.755128 0.946900i
\(283\) 1.94771e9 + 9.37970e8i 0.303654 + 0.146232i 0.579506 0.814968i \(-0.303246\pi\)
−0.275852 + 0.961200i \(0.588960\pi\)
\(284\) 2.63430e10 6.01263e9i 4.04942 0.924253i
\(285\) 5.05429e8 1.15361e8i 0.0766092 0.0174855i
\(286\) 5.40744e9 + 4.31229e9i 0.808216 + 0.644531i
\(287\) 2.25275e8 + 4.67788e8i 0.0332036 + 0.0689480i
\(288\) 2.26180e10 + 5.16241e9i 3.28764 + 0.750382i
\(289\) 5.18153e9 2.49529e9i 0.742791 0.357710i
\(290\) −3.40729e9 + 2.71722e9i −0.481745 + 0.384179i
\(291\) −9.37539e9 + 2.13987e9i −1.30743 + 0.298412i
\(292\) 6.37237e9 5.08179e9i 0.876535 0.699014i
\(293\) 9.65172e8 4.22870e9i 0.130959 0.573768i −0.866284 0.499553i \(-0.833498\pi\)
0.997242 0.0742150i \(-0.0236451\pi\)
\(294\) −5.08053e10 −6.80017
\(295\) 7.75929e8i 0.102455i
\(296\) 2.06604e9 9.05193e9i 0.269137 1.17916i
\(297\) −2.13931e9 1.70604e9i −0.274946 0.219262i
\(298\) 9.31145e9 + 4.48416e9i 1.18073 + 0.568612i
\(299\) 4.66414e8 2.24613e8i 0.0583562 0.0281029i
\(300\) 2.79576e10i 3.45156i
\(301\) 5.29839e9 1.46267e10i 0.645472 1.78189i
\(302\) −1.34074e10 −1.61183
\(303\) −6.66049e9 1.38306e10i −0.790197 1.64086i
\(304\) −3.01631e9 + 6.26342e9i −0.353168 + 0.733360i
\(305\) 4.48701e8 5.62653e8i 0.0518510 0.0650191i
\(306\) −5.77497e9 1.31810e9i −0.658664 0.150336i
\(307\) −5.72244e9 −0.644210 −0.322105 0.946704i \(-0.604390\pi\)
−0.322105 + 0.946704i \(0.604390\pi\)
\(308\) 7.26412e10i 8.07199i
\(309\) 7.16627e9 + 1.63565e9i 0.786067 + 0.179415i
\(310\) 4.40242e9 + 5.52047e9i 0.476700 + 0.597763i
\(311\) −9.31674e8 4.08193e9i −0.0995916 0.436339i −0.999999 0.00129187i \(-0.999589\pi\)
0.900408 0.435047i \(-0.143268\pi\)
\(312\) −9.41188e9 1.18021e10i −0.993248 1.24549i
\(313\) 1.15677e9 + 2.40205e9i 0.120523 + 0.250268i 0.952498 0.304545i \(-0.0985043\pi\)
−0.831975 + 0.554812i \(0.812790\pi\)
\(314\) 8.82913e8 3.86829e9i 0.0908237 0.397925i
\(315\) −3.83953e9 + 1.84902e9i −0.389975 + 0.187802i
\(316\) 2.02311e10 2.53691e10i 2.02895 2.54423i
\(317\) 6.72130e8 + 2.94479e9i 0.0665604 + 0.291620i 0.997243 0.0742080i \(-0.0236429\pi\)
−0.930682 + 0.365828i \(0.880786\pi\)
\(318\) −6.15384e7 2.69617e8i −0.00601780 0.0263657i
\(319\) 8.03067e9 1.66759e10i 0.775513 1.61037i
\(320\) 9.02788e9 + 7.19949e9i 0.860966 + 0.686597i
\(321\) 3.78695e9 3.01999e9i 0.356673 0.284437i
\(322\) 6.67466e9 + 3.21435e9i 0.620877 + 0.298999i
\(323\) 4.18397e8 8.68809e8i 0.0384395 0.0798205i
\(324\) 2.16038e10 + 2.70903e10i 1.96042 + 2.45829i
\(325\) 2.22098e9 2.78502e9i 0.199072 0.249629i
\(326\) −2.35098e10 1.13217e10i −2.08151 1.00240i
\(327\) −1.42601e10 + 3.25477e9i −1.24719 + 0.284662i
\(328\) −1.55309e9 + 3.54482e8i −0.134184 + 0.0306266i
\(329\) −8.01345e9 6.39051e9i −0.683968 0.545447i
\(330\) 5.72448e9 + 1.18870e10i 0.482704 + 1.00234i
\(331\) −4.55146e9 1.03884e9i −0.379174 0.0865441i 0.0286858 0.999588i \(-0.490868\pi\)
−0.407860 + 0.913044i \(0.633725\pi\)
\(332\) 4.90904e10 2.36407e10i 4.04058 1.94584i
\(333\) −2.83729e9 + 2.26266e9i −0.230742 + 0.184011i
\(334\) 5.04666e9 1.15187e9i 0.405525 0.0925585i
\(335\) −3.63455e9 + 2.89846e9i −0.288584 + 0.230138i
\(336\) 2.80049e10 1.22697e11i 2.19723 9.62671i
\(337\) −1.09172e10 −0.846433 −0.423216 0.906029i \(-0.639099\pi\)
−0.423216 + 0.906029i \(0.639099\pi\)
\(338\) 2.22850e10i 1.70744i
\(339\) −1.48710e9 + 6.51542e9i −0.112601 + 0.493337i
\(340\) −3.31565e9 2.64414e9i −0.248115 0.197865i
\(341\) −2.70181e10 1.30112e10i −1.99819 0.962278i
\(342\) 4.20219e9 2.02367e9i 0.307164 0.147923i
\(343\) 4.17554e10i 3.01673i
\(344\) 4.01351e10 + 2.58351e10i 2.86610 + 1.84492i
\(345\) 9.87521e8 0.0697060
\(346\) 1.41591e10 + 2.94018e10i 0.987945 + 2.05149i
\(347\) −5.68436e9 + 1.18037e10i −0.392070 + 0.814143i 0.607730 + 0.794144i \(0.292080\pi\)
−0.999800 + 0.0199985i \(0.993634\pi\)
\(348\) −3.95121e10 + 4.95466e10i −2.69410 + 3.37829i
\(349\) 2.68083e10 + 6.11882e9i 1.80704 + 0.412445i 0.987113 0.160025i \(-0.0511576\pi\)
0.819926 + 0.572470i \(0.194015\pi\)
\(350\) 5.09767e10 3.39703
\(351\) 1.19371e9i 0.0786445i
\(352\) −9.37060e10 2.13878e10i −6.10375 1.39314i
\(353\) −1.58523e10 1.98781e10i −1.02092 1.28020i −0.959388 0.282091i \(-0.908972\pi\)
−0.0615343 0.998105i \(-0.519599\pi\)
\(354\) −3.42098e9 1.49883e10i −0.217840 0.954418i
\(355\) −4.09469e9 5.13458e9i −0.257815 0.323290i
\(356\) −1.92806e10 4.00366e10i −1.20039 2.49263i
\(357\) −3.88460e9 + 1.70195e10i −0.239152 + 1.04779i
\(358\) −2.48062e10 + 1.19461e10i −1.51018 + 0.727265i
\(359\) −6.79879e9 + 8.52541e9i −0.409311 + 0.513260i −0.943169 0.332314i \(-0.892171\pi\)
0.533857 + 0.845575i \(0.320742\pi\)
\(360\) −2.90953e9 1.27475e10i −0.173226 0.758952i
\(361\) −3.61024e9 1.58175e10i −0.212573 0.931342i
\(362\) 5.13107e9 1.06548e10i 0.298795 0.620455i
\(363\) −2.54359e10 2.02845e10i −1.46494 1.16825i
\(364\) −2.47761e10 + 1.97583e10i −1.41133 + 1.12550i
\(365\) −1.78483e9 8.59527e8i −0.100560 0.0484271i
\(366\) 6.18668e9 1.28468e10i 0.344773 0.715929i
\(367\) −2.00490e10 2.51406e10i −1.10517 1.38584i −0.914696 0.404143i \(-0.867570\pi\)
−0.190471 0.981693i \(-0.561002\pi\)
\(368\) −8.25639e9 + 1.03532e10i −0.450193 + 0.564524i
\(369\) 5.60989e8 + 2.70158e8i 0.0302586 + 0.0145718i
\(370\) −3.45139e9 + 7.87757e8i −0.184156 + 0.0420325i
\(371\) −3.60800e8 + 8.23503e7i −0.0190446 + 0.00434680i
\(372\) 8.02750e10 + 6.40172e10i 4.19188 + 3.34291i
\(373\) 1.41680e10 + 2.94201e10i 0.731935 + 1.51988i 0.849948 + 0.526867i \(0.176633\pi\)
−0.118013 + 0.993012i \(0.537652\pi\)
\(374\) 2.39256e10 + 5.46086e9i 1.22286 + 0.279109i
\(375\) 1.27437e10 6.13705e9i 0.644423 0.310338i
\(376\) 2.45869e10 1.96074e10i 1.23013 0.980997i
\(377\) 7.87204e9 1.79674e9i 0.389693 0.0889448i
\(378\) 1.33557e10 1.06508e10i 0.654185 0.521695i
\(379\) −4.09967e9 + 1.79618e10i −0.198698 + 0.870551i 0.773016 + 0.634387i \(0.218747\pi\)
−0.971713 + 0.236164i \(0.924110\pi\)
\(380\) 3.33921e9 0.160144
\(381\) 1.71431e9i 0.0813559i
\(382\) −2.50472e9 + 1.09739e10i −0.117626 + 0.515355i
\(383\) 1.45578e10 + 1.16094e10i 0.676550 + 0.539530i 0.900384 0.435097i \(-0.143286\pi\)
−0.223834 + 0.974627i \(0.571857\pi\)
\(384\) 9.86326e10 + 4.74990e10i 4.53623 + 2.18454i
\(385\) 1.59071e10 7.66047e9i 0.724017 0.348668i
\(386\) 7.34886e9i 0.331033i
\(387\) −5.96881e9 1.76757e10i −0.266100 0.788012i
\(388\) −6.19403e10 −2.73304
\(389\) −1.28180e10 2.66169e10i −0.559787 1.16241i −0.968331 0.249671i \(-0.919678\pi\)
0.408544 0.912739i \(-0.366037\pi\)
\(390\) −2.49731e9 + 5.18572e9i −0.107948 + 0.224156i
\(391\) 1.14526e9 1.43611e9i 0.0490000 0.0614440i
\(392\) −2.03369e11 4.64175e10i −8.61270 1.96579i
\(393\) 3.30535e10 1.38563
\(394\) 1.98403e10i 0.823311i
\(395\) −7.68886e9 1.75493e9i −0.315845 0.0720895i
\(396\) 5.43147e10 + 6.81085e10i 2.20870 + 2.76962i
\(397\) 8.48325e9 + 3.71675e10i 0.341507 + 1.49624i 0.795893 + 0.605437i \(0.207002\pi\)
−0.454386 + 0.890805i \(0.650141\pi\)
\(398\) 2.44913e10 + 3.07112e10i 0.976068 + 1.22395i
\(399\) −5.96400e9 1.23844e10i −0.235313 0.488632i
\(400\) −2.02761e10 + 8.88354e10i −0.792035 + 3.47013i
\(401\) 3.36910e10 1.62247e10i 1.30298 0.627480i 0.351784 0.936081i \(-0.385575\pi\)
0.951192 + 0.308601i \(0.0998609\pi\)
\(402\) −5.74281e10 + 7.20125e10i −2.19897 + 2.75743i
\(403\) −2.91107e9 1.27542e10i −0.110365 0.483541i
\(404\) −2.20019e10 9.63965e10i −0.825913 3.61856i
\(405\) 3.65403e9 7.58767e9i 0.135816 0.282025i
\(406\) 9.03411e10 + 7.20447e10i 3.32492 + 2.65154i
\(407\) 1.17548e10 9.37417e9i 0.428390 0.341629i
\(408\) −4.82579e10 2.32398e10i −1.74152 0.838670i
\(409\) 7.16333e9 1.48748e10i 0.255989 0.531567i −0.732879 0.680359i \(-0.761824\pi\)
0.988869 + 0.148791i \(0.0475383\pi\)
\(410\) 3.78708e8 + 4.74885e8i 0.0134020 + 0.0168056i
\(411\) 7.72338e8 9.68482e8i 0.0270670 0.0339410i
\(412\) 4.26567e10 + 2.05424e10i 1.48046 + 0.712954i
\(413\) −2.00572e10 + 4.57793e9i −0.689399 + 0.157351i
\(414\) 8.66157e9 1.97695e9i 0.294846 0.0672967i
\(415\) −1.03538e10 8.25686e9i −0.349065 0.278370i
\(416\) −1.81930e10 3.77782e10i −0.607479 1.26144i
\(417\) 4.74367e10 + 1.08271e10i 1.56881 + 0.358070i
\(418\) −1.74096e10 + 8.38402e9i −0.570274 + 0.274629i
\(419\) 3.73955e9 2.98219e9i 0.121329 0.0967564i −0.560946 0.827853i \(-0.689562\pi\)
0.682274 + 0.731096i \(0.260991\pi\)
\(420\) −5.89355e10 + 1.34516e10i −1.89400 + 0.432293i
\(421\) 7.25900e9 5.78886e9i 0.231073 0.184274i −0.501108 0.865385i \(-0.667074\pi\)
0.732181 + 0.681110i \(0.238503\pi\)
\(422\) −2.16195e10 + 9.47213e10i −0.681705 + 2.98674i
\(423\) −1.22917e10 −0.383928
\(424\) 1.13548e9i 0.0351329i
\(425\) 2.81253e9 1.23225e10i 0.0862068 0.377696i
\(426\) −1.01733e11 8.11295e10i −3.08904 2.46343i
\(427\) −1.71915e10 8.27898e9i −0.517132 0.249038i
\(428\) 2.81088e10 1.35365e10i 0.837660 0.403396i
\(429\) 2.44445e10i 0.721693i
\(430\) 2.23537e9 1.80616e10i 0.0653845 0.528301i
\(431\) 2.34934e10 0.680828 0.340414 0.940276i \(-0.389433\pi\)
0.340414 + 0.940276i \(0.389433\pi\)
\(432\) 1.32486e10 + 2.75110e10i 0.380395 + 0.789898i
\(433\) −1.77369e10 + 3.68310e10i −0.504575 + 1.04776i 0.480716 + 0.876876i \(0.340377\pi\)
−0.985291 + 0.170884i \(0.945338\pi\)
\(434\) 1.16726e11 1.46370e11i 3.29010 4.12566i
\(435\) 1.50166e10 + 3.42744e9i 0.419387 + 0.0957224i
\(436\) −9.42119e10 −2.60711
\(437\) 1.44631e9i 0.0396585i
\(438\) −3.82663e10 8.73403e9i −1.03973 0.237311i
\(439\) 9.27258e9 + 1.16274e10i 0.249656 + 0.313059i 0.890830 0.454337i \(-0.150124\pi\)
−0.641174 + 0.767396i \(0.721552\pi\)
\(440\) 1.20541e10 + 5.28126e10i 0.321607 + 1.40905i
\(441\) 5.08350e10 + 6.37450e10i 1.34403 + 1.68536i
\(442\) 4.64515e9 + 9.64576e9i 0.121706 + 0.252724i
\(443\) 2.98402e9 1.30738e10i 0.0774794 0.339460i −0.921300 0.388853i \(-0.872872\pi\)
0.998779 + 0.0493930i \(0.0157287\pi\)
\(444\) −4.63806e10 + 2.23357e10i −1.19345 + 0.574735i
\(445\) −6.73404e9 + 8.44422e9i −0.171726 + 0.215337i
\(446\) −6.98369e9 3.05976e10i −0.176500 0.773299i
\(447\) −8.12797e9 3.56109e10i −0.203588 0.891977i
\(448\) 1.32838e11 2.75841e11i 3.29769 6.84773i
\(449\) −3.43608e10 2.74018e10i −0.845431 0.674209i 0.101784 0.994806i \(-0.467545\pi\)
−0.947215 + 0.320598i \(0.896116\pi\)
\(450\) 4.77958e10 3.81159e10i 1.16557 0.929515i
\(451\) −2.32417e9 1.11926e9i −0.0561774 0.0270536i
\(452\) −1.86767e10 + 3.87825e10i −0.447452 + 0.929143i
\(453\) 2.95446e10 + 3.70478e10i 0.701594 + 0.879771i
\(454\) −8.32893e10 + 1.04442e11i −1.96050 + 2.45838i
\(455\) 6.93950e9 + 3.34189e9i 0.161913 + 0.0779733i
\(456\) 4.11168e10 9.38465e9i 0.950956 0.217050i
\(457\) −1.42726e10 + 3.25763e9i −0.327219 + 0.0746856i −0.382975 0.923759i \(-0.625100\pi\)
0.0557556 + 0.998444i \(0.482243\pi\)
\(458\) −1.21925e10 9.72318e9i −0.277096 0.220977i
\(459\) −1.83773e9 3.81609e9i −0.0414030 0.0859741i
\(460\) 6.20119e9 + 1.41538e9i 0.138498 + 0.0316113i
\(461\) −4.62096e10 + 2.22534e10i −1.02312 + 0.492711i −0.868724 0.495297i \(-0.835059\pi\)
−0.154401 + 0.988008i \(0.549345\pi\)
\(462\) 2.73497e11 2.18106e11i 6.00322 4.78741i
\(463\) −1.15259e10 + 2.63072e9i −0.250814 + 0.0572467i −0.346079 0.938205i \(-0.612487\pi\)
0.0952653 + 0.995452i \(0.469630\pi\)
\(464\) −1.61483e11 + 1.28778e11i −3.48381 + 2.77825i
\(465\) 5.55312e9 2.43298e10i 0.118775 0.520387i
\(466\) 1.12829e11 2.39263
\(467\) 4.95414e10i 1.04160i −0.853679 0.520800i \(-0.825634\pi\)
0.853679 0.520800i \(-0.174366\pi\)
\(468\) −8.45660e9 + 3.70508e10i −0.176284 + 0.772350i
\(469\) 9.63667e10 + 7.68499e10i 1.99175 + 1.58837i
\(470\) −1.08032e10 5.20254e9i −0.221391 0.106616i
\(471\) −1.26346e10 + 6.08448e9i −0.256730 + 0.123635i
\(472\) 6.31221e10i 1.27178i
\(473\) 2.47287e10 + 7.32302e10i 0.494034 + 1.46300i
\(474\) −1.56260e11 −3.09552
\(475\) 4.31806e9 + 8.96654e9i 0.0848230 + 0.176137i
\(476\) −4.87871e10 + 1.01307e11i −0.950336 + 1.97339i
\(477\) −2.76712e8 + 3.46986e8i −0.00534509 + 0.00670253i
\(478\) 3.66073e9 + 8.35538e8i 0.0701224 + 0.0160050i
\(479\) 3.92828e10 0.746209 0.373105 0.927789i \(-0.378293\pi\)
0.373105 + 0.927789i \(0.378293\pi\)
\(480\) 7.99863e10i 1.50678i
\(481\) 6.39459e9 + 1.45952e9i 0.119463 + 0.0272666i
\(482\) 1.16206e11 + 1.45717e11i 2.15298 + 2.69975i
\(483\) −5.82631e9 2.55267e10i −0.107055 0.469036i
\(484\) −1.30653e11 1.63834e11i −2.38089 2.98554i
\(485\) 6.53198e9 + 1.35638e10i 0.118053 + 0.245140i
\(486\) 3.16493e10 1.38665e11i 0.567308 2.48554i
\(487\) −4.44725e10 + 2.14168e10i −0.790634 + 0.380749i −0.785205 0.619236i \(-0.787442\pi\)
−0.00542924 + 0.999985i \(0.501728\pi\)
\(488\) 3.65020e10 4.57720e10i 0.643631 0.807088i
\(489\) 2.05217e10 + 8.99116e10i 0.358904 + 1.57246i
\(490\) 1.76984e10 + 7.75419e10i 0.307009 + 1.34509i
\(491\) 2.82241e10 5.86079e10i 0.485617 1.00839i −0.503872 0.863779i \(-0.668091\pi\)
0.989488 0.144615i \(-0.0461942\pi\)
\(492\) 6.90547e9 + 5.50693e9i 0.117851 + 0.0939830i
\(493\) 2.23996e10 1.78631e10i 0.379186 0.302391i
\(494\) −7.59495e9 3.65754e9i −0.127531 0.0614159i
\(495\) 9.18672e9 1.90764e10i 0.153017 0.317743i
\(496\) 2.08646e11 + 2.61634e11i 3.44733 + 4.32282i
\(497\) −1.08567e11 + 1.36139e11i −1.77939 + 2.23129i
\(498\) −2.36403e11 1.13846e11i −3.84357 1.85097i
\(499\) −8.64857e10 + 1.97398e10i −1.39490 + 0.318376i −0.852931 0.522024i \(-0.825177\pi\)
−0.541966 + 0.840400i \(0.682320\pi\)
\(500\) 8.88208e10 2.02728e10i 1.42113 0.324364i
\(501\) −1.43037e10 1.14068e10i −0.227037 0.181056i
\(502\) −5.81085e10 1.20663e11i −0.915007 1.90003i
\(503\) 3.32144e10 + 7.58096e9i 0.518864 + 0.118427i 0.473930 0.880563i \(-0.342835\pi\)
0.0449344 + 0.998990i \(0.485692\pi\)
\(504\) −3.12348e11 + 1.50419e11i −4.84079 + 2.33120i
\(505\) −1.87889e10 + 1.49836e10i −0.288892 + 0.230383i
\(506\) −3.58847e10 + 8.19046e9i −0.547404 + 0.124941i
\(507\) −6.15784e10 + 4.91072e10i −0.931959 + 0.743212i
\(508\) 2.45706e9 1.07651e10i 0.0368945 0.161645i
\(509\) 1.08044e11 1.60965 0.804823 0.593514i \(-0.202260\pi\)
0.804823 + 0.593514i \(0.202260\pi\)
\(510\) 2.04226e10i 0.301877i
\(511\) −1.16878e10 + 5.12077e10i −0.171415 + 0.751020i
\(512\) 1.33587e11 + 1.06532e11i 1.94395 + 1.55025i
\(513\) 3.00474e9 + 1.44701e9i 0.0433848 + 0.0208930i
\(514\) 9.20421e10 4.43252e10i 1.31866 0.635035i
\(515\) 1.15074e10i 0.163586i
\(516\) −2.67525e10 2.63288e11i −0.377369 3.71392i
\(517\) 5.09243e10 0.712792
\(518\) 4.07259e10 + 8.45682e10i 0.565655 + 1.17460i
\(519\) 5.00427e10 1.03915e11i 0.689717 1.43221i
\(520\) −1.47344e10 + 1.84763e10i −0.201520 + 0.252698i
\(521\) −1.03960e11 2.37282e10i −1.41096 0.322043i −0.551899 0.833911i \(-0.686096\pi\)
−0.859064 + 0.511868i \(0.828954\pi\)
\(522\) 1.38573e11 1.86636
\(523\) 3.94559e10i 0.527357i 0.964611 + 0.263679i \(0.0849358\pi\)
−0.964611 + 0.263679i \(0.915064\pi\)
\(524\) 2.07561e11 + 4.73745e10i 2.75309 + 0.628375i
\(525\) −1.12332e11 1.40860e11i −1.47866 1.85418i
\(526\) −5.65130e10 2.47600e11i −0.738253 3.23450i
\(527\) −2.89416e10 3.62916e10i −0.375215 0.470504i
\(528\) 2.71303e11 + 5.63366e11i 3.49075 + 7.24861i
\(529\) 1.68128e10 7.36616e10i 0.214693 0.940630i
\(530\) −3.90068e8 + 1.87847e8i −0.00494352 + 0.00238067i
\(531\) −1.53827e10 + 1.92893e10i −0.193488 + 0.242627i
\(532\) −1.97011e10 8.63163e10i −0.245949 1.07757i
\(533\) −2.50418e8 1.09715e9i −0.00310282 0.0135943i
\(534\) −9.28490e10 + 1.92803e11i −1.14186 + 2.37109i
\(535\) −5.92850e9 4.72782e9i −0.0723652 0.0577093i
\(536\) −2.95672e11 + 2.35791e11i −3.58221 + 2.85672i
\(537\) 8.76727e10 + 4.22209e10i 1.05431 + 0.507728i
\(538\) 5.60363e10 1.16361e11i 0.668868 1.38892i
\(539\) −2.10608e11 2.64095e11i −2.49529 3.12899i
\(540\) 9.14465e9 1.14670e10i 0.107546 0.134858i
\(541\) 9.58349e10 + 4.61517e10i 1.11875 + 0.538764i 0.899507 0.436906i \(-0.143926\pi\)
0.219247 + 0.975669i \(0.429640\pi\)
\(542\) 1.01577e11 2.31843e10i 1.17706 0.268657i
\(543\) −4.07484e10 + 9.30055e9i −0.468718 + 0.106982i
\(544\) −1.16320e11 9.27624e10i −1.32819 1.05920i
\(545\) 9.93523e9 + 2.06307e10i 0.112614 + 0.233845i
\(546\) 1.48781e11 + 3.39584e10i 1.67409 + 0.382099i
\(547\) 8.89504e10 4.28362e10i 0.993570 0.478478i 0.134818 0.990870i \(-0.456955\pi\)
0.858751 + 0.512392i \(0.171241\pi\)
\(548\) 6.23803e9 4.97466e9i 0.0691712 0.0551622i
\(549\) −2.23091e10 + 5.09190e9i −0.245579 + 0.0560519i
\(550\) −1.98017e11 + 1.57914e11i −2.16398 + 1.72571i
\(551\) −5.01980e9 + 2.19932e10i −0.0544603 + 0.238606i
\(552\) 8.03352e10 0.865266
\(553\) 2.09106e11i 2.23597i
\(554\) 3.65556e10 1.60161e11i 0.388075 1.70027i
\(555\) 9.78223e9 + 7.80107e9i 0.103102 + 0.0822209i
\(556\) 2.82363e11 + 1.35979e11i 2.95467 + 1.42289i
\(557\) −2.54716e10 + 1.22665e10i −0.264628 + 0.127438i −0.561493 0.827481i \(-0.689773\pi\)
0.296866 + 0.954919i \(0.404059\pi\)
\(558\) 2.24514e11i 2.31583i
\(559\) −1.82508e10 + 2.83528e10i −0.186911 + 0.290368i
\(560\) −1.97023e11 −2.00339
\(561\) −3.76328e10 7.81454e10i −0.379940 0.788954i
\(562\) 7.15636e10 1.48603e11i 0.717376 1.48965i
\(563\) −7.50617e10 + 9.41244e10i −0.747110 + 0.936847i −0.999526 0.0307720i \(-0.990203\pi\)
0.252416 + 0.967619i \(0.418775\pi\)
\(564\) −1.69989e11 3.87988e10i −1.67998 0.383444i
\(565\) 1.04622e10 0.102667
\(566\) 6.70545e10i 0.653374i
\(567\) −2.17694e11 4.96873e10i −2.10628 0.480744i
\(568\) −3.33105e11 4.17700e11i −3.20028 4.01302i
\(569\) −1.24327e10 5.44711e10i −0.118608 0.519657i −0.998971 0.0453557i \(-0.985558\pi\)
0.880363 0.474301i \(-0.157299\pi\)
\(570\) −1.00260e10 1.25723e10i −0.0949795 0.119101i
\(571\) 2.83006e10 + 5.87668e10i 0.266227 + 0.552825i 0.990634 0.136547i \(-0.0436006\pi\)
−0.724407 + 0.689373i \(0.757886\pi\)
\(572\) 3.50355e10 1.53501e11i 0.327284 1.43392i
\(573\) 3.58427e10 1.72609e10i 0.332493 0.160120i
\(574\) 1.00411e10 1.25911e10i 0.0924982 0.115989i
\(575\) 4.21837e9 + 1.84819e10i 0.0385898 + 0.169073i
\(576\) −8.17005e10 3.57953e11i −0.742224 3.25189i
\(577\) −1.10820e8 + 2.30120e8i −0.000999804 + 0.00207611i −0.901468 0.432845i \(-0.857510\pi\)
0.900468 + 0.434922i \(0.143224\pi\)
\(578\) −1.39468e11 1.11222e11i −1.24958 0.996503i
\(579\) 2.03066e10 1.61940e10i 0.180685 0.144092i
\(580\) 8.93852e10 + 4.30456e10i 0.789866 + 0.380380i
\(581\) −1.52347e11 + 3.16353e11i −1.33700 + 2.77630i
\(582\) 1.85977e11 + 2.33207e11i 1.62094 + 2.03259i
\(583\) 1.14641e9 1.43756e9i 0.00992356 0.0124438i
\(584\) −1.45196e11 6.99229e10i −1.24826 0.601129i
\(585\) 9.00525e9 2.05539e9i 0.0768905 0.0175497i
\(586\) −1.31165e11 + 2.99376e10i −1.11232 + 0.253879i
\(587\) 5.34671e10 + 4.26386e10i 0.450334 + 0.359129i 0.822240 0.569141i \(-0.192724\pi\)
−0.371906 + 0.928270i \(0.621296\pi\)
\(588\) 5.01813e11 + 1.04203e12i 4.19791 + 8.71704i
\(589\) 3.56332e10 + 8.13304e9i 0.296069 + 0.0675758i
\(590\) −2.16842e10 + 1.04426e10i −0.178952 + 0.0861786i
\(591\) −5.48233e10 + 4.37201e10i −0.449382 + 0.358370i
\(592\) −1.63573e11 + 3.73345e10i −1.33176 + 0.303965i
\(593\) 4.15296e10 3.31188e10i 0.335845 0.267828i −0.441016 0.897499i \(-0.645382\pi\)
0.776862 + 0.629671i \(0.216810\pi\)
\(594\) −1.88862e10 + 8.27457e10i −0.151704 + 0.664660i
\(595\) 2.73294e10 0.218053
\(596\) 2.35270e11i 1.86458i
\(597\) 3.08928e10 1.35350e11i 0.243198 1.06552i
\(598\) −1.25541e10 1.00116e10i −0.0981708 0.0782886i
\(599\) 2.29898e10 + 1.10713e10i 0.178578 + 0.0859985i 0.521037 0.853534i \(-0.325545\pi\)
−0.342459 + 0.939533i \(0.611260\pi\)
\(600\) 4.98045e11 2.39846e11i 3.84294 1.85066i
\(601\) 1.36688e11i 1.04769i 0.851813 + 0.523846i \(0.175503\pi\)
−0.851813 + 0.523846i \(0.824497\pi\)
\(602\) −4.80067e11 + 4.87794e10i −3.65524 + 0.371407i
\(603\) 1.47815e11 1.11802
\(604\) 1.32428e11 + 2.74989e11i 0.995018 + 2.06618i
\(605\) −2.20985e10 + 4.58880e10i −0.164946 + 0.342513i
\(606\) −2.96875e11 + 3.72270e11i −2.20132 + 2.76037i
\(607\) 1.02251e11 + 2.33380e10i 0.753201 + 0.171913i 0.581849 0.813297i \(-0.302329\pi\)
0.171352 + 0.985210i \(0.445186\pi\)
\(608\) 1.17147e11 0.857269
\(609\) 4.08391e11i 2.96898i
\(610\) −2.17627e10 4.96718e9i −0.157178 0.0358749i
\(611\) 1.38513e10 + 1.73690e10i 0.0993861 + 0.124626i
\(612\) 3.00059e10 + 1.31465e11i 0.213896 + 0.937137i
\(613\) −4.35507e10 5.46109e10i −0.308428 0.386756i 0.603325 0.797495i \(-0.293842\pi\)
−0.911753 + 0.410739i \(0.865271\pi\)
\(614\) 7.70134e10 + 1.59920e11i 0.541867 + 1.12520i
\(615\) 4.77694e8 2.09291e9i 0.00333925 0.0146302i
\(616\) 1.29405e12 6.23182e11i 8.98728 4.32805i
\(617\) 1.69643e11 2.12725e11i 1.17056 1.46784i 0.315796 0.948827i \(-0.397729\pi\)
0.854767 0.519012i \(-0.173700\pi\)
\(618\) −5.07345e10 2.22283e11i −0.347816 1.52388i
\(619\) −3.17884e10 1.39274e11i −0.216524 0.948655i −0.960024 0.279918i \(-0.909693\pi\)
0.743500 0.668736i \(-0.233165\pi\)
\(620\) 6.97422e10 1.44821e11i 0.471986 0.980088i
\(621\) 4.96672e9 + 3.96082e9i 0.0333966 + 0.0266329i
\(622\) −1.01536e11 + 8.09720e10i −0.678355 + 0.540970i
\(623\) 2.58008e11 + 1.24250e11i 1.71270 + 0.824791i
\(624\) −1.18356e11 + 2.45769e11i −0.780643 + 1.62102i
\(625\) 7.41574e10 + 9.29905e10i 0.485998 + 0.609422i
\(626\) 5.15601e10 6.46543e10i 0.335750 0.421018i
\(627\) 6.15307e10 + 2.96316e10i 0.398127 + 0.191728i
\(628\) −8.80601e10 + 2.00991e10i −0.566162 + 0.129223i
\(629\) 2.26895e10 5.17872e9i 0.144951 0.0330842i
\(630\) 1.03346e11 + 8.24158e10i 0.656042 + 0.523176i
\(631\) 8.70197e10 + 1.80698e11i 0.548908 + 1.13982i 0.972270 + 0.233860i \(0.0751356\pi\)
−0.423362 + 0.905961i \(0.639150\pi\)
\(632\) −6.25492e11 1.42764e11i −3.92061 0.894853i
\(633\) 3.09377e11 1.48988e11i 1.92696 0.927977i
\(634\) 7.32500e10 5.84149e10i 0.453368 0.361549i
\(635\) −2.61647e9 + 5.97193e8i −0.0160924 + 0.00367299i
\(636\) −4.92207e9 + 3.92522e9i −0.0300829 + 0.0239903i
\(637\) 3.27909e10 1.43666e11i 0.199157 0.872564i
\(638\) −5.74104e11 −3.46504
\(639\) 2.08821e11i 1.25248i
\(640\) 3.81361e10 1.67085e11i 0.227309 0.995905i
\(641\) −7.32514e10 5.84161e10i −0.433894 0.346019i 0.382058 0.924138i \(-0.375215\pi\)
−0.815952 + 0.578119i \(0.803787\pi\)
\(642\) −1.35363e11 6.51872e10i −0.796817 0.383727i
\(643\) −1.44851e11 + 6.97564e10i −0.847377 + 0.408075i −0.806603 0.591093i \(-0.798697\pi\)
−0.0407739 + 0.999168i \(0.512982\pi\)
\(644\) 1.68647e11i 0.980472i
\(645\) −5.48341e10 + 3.36236e10i −0.316819 + 0.194270i
\(646\) −2.99107e10 −0.171750
\(647\) −8.95514e9 1.85955e10i −0.0511041 0.106119i 0.873853 0.486190i \(-0.161614\pi\)
−0.924957 + 0.380071i \(0.875899\pi\)
\(648\) 2.97257e11 6.17260e11i 1.68590 3.50080i
\(649\) 6.37303e10 7.99152e10i 0.359225 0.450454i
\(650\) −1.07721e11 2.45865e10i −0.603456 0.137735i
\(651\) −6.61671e11 −3.68399
\(652\) 5.94018e11i 3.28707i
\(653\) 1.51668e11 + 3.46173e10i 0.834147 + 0.190389i 0.618204 0.786017i \(-0.287860\pi\)
0.215943 + 0.976406i \(0.430718\pi\)
\(654\) 2.82873e11 + 3.54711e11i 1.54625 + 1.93894i
\(655\) −1.15144e10 5.04481e10i −0.0625573 0.274081i
\(656\) 1.79483e10 + 2.25064e10i 0.0969186 + 0.121532i
\(657\) 2.73301e10 + 5.67515e10i 0.146683 + 0.304590i
\(658\) −7.07440e10 + 3.09950e11i −0.377386 + 1.65344i
\(659\) −7.98780e10 + 3.84672e10i −0.423531 + 0.203962i −0.633494 0.773747i \(-0.718380\pi\)
0.209963 + 0.977709i \(0.432666\pi\)
\(660\) 1.87263e11 2.34820e11i 0.986907 1.23754i
\(661\) −5.74401e10 2.51661e11i −0.300891 1.31829i −0.868786 0.495188i \(-0.835099\pi\)
0.567895 0.823101i \(-0.307758\pi\)
\(662\) 3.22227e10 + 1.41177e11i 0.167776 + 0.735074i
\(663\) 1.64174e10 3.40910e10i 0.0849668 0.176435i
\(664\) −8.42283e11 6.71698e11i −4.33297 3.45543i
\(665\) −1.68241e10 + 1.34168e10i −0.0860291 + 0.0686059i
\(666\) 1.01417e11 + 4.88400e10i 0.515484 + 0.248244i
\(667\) −1.86444e10 + 3.87154e10i −0.0941985 + 0.195605i
\(668\) −7.34717e10 9.21306e10i −0.368990 0.462699i
\(669\) −6.91587e10 + 8.67223e10i −0.345257 + 0.432939i
\(670\) 1.29915e11 + 6.25638e10i 0.644704 + 0.310473i
\(671\) 9.24260e10 2.10956e10i 0.455936 0.104064i
\(672\) −2.06759e12 + 4.71914e11i −10.1388 + 2.31412i
\(673\) −2.08022e11 1.65892e11i −1.01403 0.808659i −0.0324000 0.999475i \(-0.510315\pi\)
−0.981626 + 0.190816i \(0.938886\pi\)
\(674\) 1.46926e11 + 3.05094e11i 0.711964 + 1.47841i
\(675\) 4.26169e10 + 9.72702e9i 0.205289 + 0.0468559i
\(676\) −4.57069e11 + 2.20113e11i −2.18874 + 1.05404i
\(677\) 2.11269e11 1.68482e11i 1.00573 0.802044i 0.0254553 0.999676i \(-0.491896\pi\)
0.980276 + 0.197632i \(0.0633250\pi\)
\(678\) 2.02095e11 4.61268e10i 0.956392 0.218290i
\(679\) 3.12077e11 2.48873e11i 1.46819 1.17084i
\(680\) −1.86588e10 + 8.17496e10i −0.0872667 + 0.382340i
\(681\) 4.72132e11 2.19520
\(682\) 9.30159e11i 4.29952i
\(683\) 3.73527e10 1.63653e11i 0.171648 0.752039i −0.813672 0.581324i \(-0.802535\pi\)
0.985320 0.170715i \(-0.0546079\pi\)
\(684\) −8.30115e10 6.61995e10i −0.379240 0.302434i
\(685\) −1.74720e9 8.41408e8i −0.00793561 0.00382159i
\(686\) 1.16690e12 5.61950e11i 5.26912 2.53747i
\(687\) 5.51166e10i 0.247432i
\(688\) 1.05942e11 8.55999e11i 0.472838 3.82049i
\(689\) 8.02138e8 0.00355936
\(690\) −1.32902e10 2.75974e10i −0.0586321 0.121751i
\(691\) −1.68244e11 + 3.49362e11i −0.737951 + 1.53237i 0.105054 + 0.994467i \(0.466498\pi\)
−0.843005 + 0.537905i \(0.819216\pi\)
\(692\) 4.63183e11 5.80813e11i 2.01989 2.53286i
\(693\) −5.47313e11 1.24921e11i −2.37303 0.541628i
\(694\) 4.06369e11 1.75179
\(695\) 7.61722e10i 0.326481i
\(696\) 1.22161e12 + 2.78824e11i 5.20589 + 1.18821i
\(697\) −2.48963e9 3.12190e9i −0.0105488 0.0132278i
\(698\) −1.89793e11 8.31536e11i −0.799573 3.50316i
\(699\) −2.48629e11 3.11771e11i −1.04146 1.30595i
\(700\) −5.03506e11 1.04554e12i −2.09707 4.35461i
\(701\) 3.77887e10 1.65563e11i 0.156491 0.685632i −0.834422 0.551126i \(-0.814198\pi\)
0.990913 0.134506i \(-0.0429447\pi\)
\(702\) −3.33595e10 + 1.60651e10i −0.137363 + 0.0661507i
\(703\) −1.14254e10 + 1.43269e10i −0.0467787 + 0.0586587i
\(704\) 3.38484e11 + 1.48299e12i 1.37799 + 6.03739i
\(705\) 9.43011e9 + 4.13160e10i 0.0381733 + 0.167248i
\(706\) −3.42174e11 + 7.10533e11i −1.37730 + 2.85999i
\(707\) 4.98169e11 + 3.97277e11i 1.99388 + 1.59007i
\(708\) −2.73623e11 + 2.18207e11i −1.08898 + 0.868431i
\(709\) 1.43448e11 + 6.90810e10i 0.567689 + 0.273384i 0.695633 0.718397i \(-0.255124\pi\)
−0.127945 + 0.991781i \(0.540838\pi\)
\(710\) −8.83848e10 + 1.83533e11i −0.347812 + 0.722238i
\(711\) 1.56351e11 + 1.96058e11i 0.611818 + 0.767195i
\(712\) −5.47817e11 + 6.86940e11i −2.13165 + 2.67300i
\(713\) 6.27264e10 + 3.02074e10i 0.242712 + 0.116884i
\(714\) 5.27910e11 1.20492e11i 2.03127 0.463623i
\(715\) −3.73086e10 + 8.51545e9i −0.142753 + 0.0325824i
\(716\) 4.90031e11 + 3.90787e11i 1.86454 + 1.48692i
\(717\) −5.75801e9 1.19566e10i −0.0217869 0.0452410i
\(718\) 3.29752e11 + 7.52637e10i 1.24076 + 0.283196i
\(719\) −1.80417e11 + 8.68840e10i −0.675089 + 0.325106i −0.739827 0.672797i \(-0.765093\pi\)
0.0647388 + 0.997902i \(0.479379\pi\)
\(720\) −1.84729e11 + 1.47317e11i −0.687394 + 0.548178i
\(721\) −2.97457e11 + 6.78926e10i −1.10074 + 0.251236i
\(722\) −3.93451e11 + 3.13767e11i −1.44791 + 1.15467i
\(723\) 1.46579e11 6.42206e11i 0.536438 2.35029i
\(724\) −2.69212e11 −0.979806
\(725\) 2.95683e11i 1.07022i
\(726\) −2.24552e11 + 9.83828e11i −0.808297 + 3.54138i
\(727\) 1.36824e11 + 1.09113e11i 0.489805 + 0.390607i 0.837014 0.547181i \(-0.184299\pi\)
−0.347209 + 0.937788i \(0.612871\pi\)
\(728\) 5.64531e11 + 2.71864e11i 2.00984 + 0.967890i
\(729\) −1.62831e11 + 7.84152e10i −0.576536 + 0.277645i
\(730\) 6.14467e10i 0.216375i
\(731\) −1.46953e10 + 1.18737e11i −0.0514647 + 0.415831i
\(732\) −3.24597e11 −1.13058
\(733\) 1.66113e10 + 3.44937e10i 0.0575423 + 0.119488i 0.927757 0.373185i \(-0.121734\pi\)
−0.870215 + 0.492673i \(0.836020\pi\)
\(734\) −4.32761e11 + 8.98638e11i −1.49095 + 3.09600i
\(735\) 1.75266e11 2.19776e11i 0.600548 0.753063i
\(736\) 2.17552e11 + 4.96548e10i 0.741398 + 0.169219i
\(737\) −6.12396e11 −2.07569
\(738\) 1.93133e10i 0.0651075i
\(739\) −1.47632e11 3.36960e10i −0.494997 0.112980i −0.0322675 0.999479i \(-0.510273\pi\)
−0.462730 + 0.886499i \(0.653130\pi\)
\(740\) 5.02470e10 + 6.30078e10i 0.167565 + 0.210120i
\(741\) 6.62963e9 + 2.90463e10i 0.0219896 + 0.0963426i
\(742\) 7.15708e9 + 8.97469e9i 0.0236113 + 0.0296077i
\(743\) 2.56560e10 + 5.32753e10i 0.0841848 + 0.174812i 0.938812 0.344431i \(-0.111928\pi\)
−0.854627 + 0.519243i \(0.826214\pi\)
\(744\) 4.51748e11 1.97924e12i 1.47436 6.45961i
\(745\) −5.15200e10 + 2.48107e10i −0.167244 + 0.0805405i
\(746\) 6.31504e11 7.91881e11i 2.03902 2.55685i
\(747\) 9.36995e10 + 4.10525e11i 0.300923 + 1.31843i
\(748\) −1.24314e11 5.44656e11i −0.397113 1.73987i
\(749\) −8.72331e10 + 1.81141e11i −0.277175 + 0.575559i
\(750\) −3.43014e11 2.73544e11i −1.08409 0.864535i
\(751\) −2.08790e11 + 1.66505e11i −0.656373 + 0.523440i −0.894086 0.447895i \(-0.852174\pi\)
0.237713 + 0.971335i \(0.423602\pi\)
\(752\) −5.12000e11 2.46566e11i −1.60103 0.771014i
\(753\) −2.05373e11 + 4.26461e11i −0.638797 + 1.32648i
\(754\) −1.56155e11 1.95812e11i −0.483138 0.605836i
\(755\) 4.62523e10