Properties

Label 43.7.f.a.2.6
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.6
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.35509 - 9.04344i) q^{2} +(15.2129 - 31.5900i) q^{3} +(-22.9137 + 28.7328i) q^{4} +(-93.5256 - 21.3466i) q^{5} -351.936 q^{6} +345.453i q^{7} +(-266.657 - 60.8626i) q^{8} +(-311.968 - 391.196i) q^{9} +O(q^{10})\) \(q+(-4.35509 - 9.04344i) q^{2} +(15.2129 - 31.5900i) q^{3} +(-22.9137 + 28.7328i) q^{4} +(-93.5256 - 21.3466i) q^{5} -351.936 q^{6} +345.453i q^{7} +(-266.657 - 60.8626i) q^{8} +(-311.968 - 391.196i) q^{9} +(214.266 + 938.759i) q^{10} +(-1066.21 - 1336.99i) q^{11} +(559.085 + 1160.95i) q^{12} +(211.655 - 927.319i) q^{13} +(3124.08 - 1504.48i) q^{14} +(-2097.13 + 2629.72i) q^{15} +(1134.29 + 4969.63i) q^{16} +(860.461 + 3769.92i) q^{17} +(-2179.10 + 4524.96i) q^{18} +(3083.67 + 2459.15i) q^{19} +(2756.36 - 2198.13i) q^{20} +(10912.8 + 5255.35i) q^{21} +(-7447.51 + 15464.9i) q^{22} +(-8840.87 - 11086.1i) q^{23} +(-5979.27 + 7497.77i) q^{24} +(-5786.29 - 2786.53i) q^{25} +(-9307.93 + 2124.47i) q^{26} +(7815.70 - 1783.88i) q^{27} +(-9925.84 - 7915.59i) q^{28} +(-6307.91 - 13098.5i) q^{29} +(32915.0 + 7512.63i) q^{30} +(2617.24 - 1260.39i) q^{31} +(26316.7 - 20986.9i) q^{32} +(-58455.5 + 13342.1i) q^{33} +(30345.7 - 24199.9i) q^{34} +(7374.24 - 32308.7i) q^{35} +18388.5 q^{36} -31333.5i q^{37} +(8809.48 - 38596.9i) q^{38} +(-26074.1 - 20793.4i) q^{39} +(23640.0 + 11384.4i) q^{40} +(-103346. + 49768.6i) q^{41} -121577. i q^{42} +(-50100.9 - 61735.4i) q^{43} +62846.2 q^{44} +(20826.3 + 43246.2i) q^{45} +(-61753.7 + 128233. i) q^{46} +(-47379.2 + 59411.7i) q^{47} +(174246. + 39770.5i) q^{48} -1688.64 q^{49} +64463.5i q^{50} +(132182. + 30169.6i) q^{51} +(21794.7 + 27329.7i) q^{52} +(-53480.5 - 234313. i) q^{53} +(-50170.5 - 62911.9i) q^{54} +(71177.9 + 147802. i) q^{55} +(21025.2 - 92117.2i) q^{56} +(124596. - 60002.3i) q^{57} +(-90984.1 + 114090. i) q^{58} +(8375.71 + 36696.4i) q^{59} +(-27506.4 - 120513. i) q^{60} +(-110436. + 229323. i) q^{61} +(-22796.6 - 18179.7i) q^{62} +(135140. - 107770. i) q^{63} +(-10477.6 - 5045.73i) q^{64} +(-39590.2 + 82209.9i) q^{65} +(375238. + 470533. i) q^{66} +(42707.3 - 53553.3i) q^{67} +(-128037. - 61659.3i) q^{68} +(-484705. + 110631. i) q^{69} +(-324297. + 74018.7i) q^{70} +(-256542. - 204585. i) q^{71} +(59379.1 + 123302. i) q^{72} +(-420672. - 96015.5i) q^{73} +(-283363. + 136460. i) q^{74} +(-176053. + 140397. i) q^{75} +(-141317. + 32254.6i) q^{76} +(461866. - 368326. i) q^{77} +(-74488.8 + 326357. i) q^{78} +34711.4 q^{79} -489000. i q^{80} +(143714. - 629651. i) q^{81} +(900159. + 717853. i) q^{82} +(923422. + 444697. i) q^{83} +(-401054. + 193137. i) q^{84} -370952. i q^{85} +(-340107. + 721948. i) q^{86} -509743. q^{87} +(202940. + 421409. i) q^{88} +(525024. - 1.09022e6i) q^{89} +(300394. - 376683. i) q^{90} +(320345. + 73116.7i) q^{91} +521112. q^{92} -101853. i q^{93} +(743627. + 169728. i) q^{94} +(-235908. - 295819. i) q^{95} +(-262621. - 1.15062e6i) q^{96} +(210713. + 264226. i) q^{97} +(7354.20 + 15271.2i) q^{98} +(-190399. + 834194. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.35509 9.04344i −0.544387 1.13043i −0.973818 0.227331i \(-0.927000\pi\)
0.429431 0.903100i \(-0.358714\pi\)
\(3\) 15.2129 31.5900i 0.563441 1.17000i −0.403495 0.914982i \(-0.632205\pi\)
0.966937 0.255016i \(-0.0820809\pi\)
\(4\) −22.9137 + 28.7328i −0.358026 + 0.448951i
\(5\) −93.5256 21.3466i −0.748204 0.170773i −0.168616 0.985682i \(-0.553930\pi\)
−0.579589 + 0.814909i \(0.696787\pi\)
\(6\) −351.936 −1.62933
\(7\) 345.453i 1.00715i 0.863951 + 0.503576i \(0.167982\pi\)
−0.863951 + 0.503576i \(0.832018\pi\)
\(8\) −266.657 60.8626i −0.520814 0.118872i
\(9\) −311.968 391.196i −0.427940 0.536619i
\(10\) 214.266 + 938.759i 0.214266 + 0.938759i
\(11\) −1066.21 1336.99i −0.801060 1.00450i −0.999702 0.0244256i \(-0.992224\pi\)
0.198641 0.980072i \(-0.436347\pi\)
\(12\) 559.085 + 1160.95i 0.323545 + 0.671847i
\(13\) 211.655 927.319i 0.0963380 0.422084i −0.903643 0.428287i \(-0.859117\pi\)
0.999981 + 0.00620268i \(0.00197439\pi\)
\(14\) 3124.08 1504.48i 1.13851 0.548279i
\(15\) −2097.13 + 2629.72i −0.621373 + 0.779177i
\(16\) 1134.29 + 4969.63i 0.276925 + 1.21329i
\(17\) 860.461 + 3769.92i 0.175140 + 0.767336i 0.983830 + 0.179103i \(0.0573194\pi\)
−0.808691 + 0.588234i \(0.799823\pi\)
\(18\) −2179.10 + 4524.96i −0.373646 + 0.775884i
\(19\) 3083.67 + 2459.15i 0.449581 + 0.358529i 0.821954 0.569555i \(-0.192884\pi\)
−0.372373 + 0.928083i \(0.621456\pi\)
\(20\) 2756.36 2198.13i 0.344545 0.274766i
\(21\) 10912.8 + 5255.35i 1.17836 + 0.567471i
\(22\) −7447.51 + 15464.9i −0.699428 + 1.45238i
\(23\) −8840.87 11086.1i −0.726627 0.911161i 0.272066 0.962279i \(-0.412293\pi\)
−0.998693 + 0.0511177i \(0.983722\pi\)
\(24\) −5979.27 + 7497.77i −0.432528 + 0.542373i
\(25\) −5786.29 2786.53i −0.370322 0.178338i
\(26\) −9307.93 + 2124.47i −0.529582 + 0.120874i
\(27\) 7815.70 1783.88i 0.397079 0.0906306i
\(28\) −9925.84 7915.59i −0.452161 0.360586i
\(29\) −6307.91 13098.5i −0.258638 0.537067i 0.730701 0.682697i \(-0.239193\pi\)
−0.989339 + 0.145631i \(0.953479\pi\)
\(30\) 32915.0 + 7512.63i 1.21907 + 0.278245i
\(31\) 2617.24 1260.39i 0.0878532 0.0423079i −0.389441 0.921051i \(-0.627332\pi\)
0.477294 + 0.878743i \(0.341618\pi\)
\(32\) 26316.7 20986.9i 0.803123 0.640469i
\(33\) −58455.5 + 13342.1i −1.62661 + 0.371263i
\(34\) 30345.7 24199.9i 0.772077 0.615711i
\(35\) 7374.24 32308.7i 0.171994 0.753555i
\(36\) 18388.5 0.394129
\(37\) 31333.5i 0.618591i −0.950966 0.309296i \(-0.899907\pi\)
0.950966 0.309296i \(-0.100093\pi\)
\(38\) 8809.48 38596.9i 0.160546 0.703398i
\(39\) −26074.1 20793.4i −0.439557 0.350535i
\(40\) 23640.0 + 11384.4i 0.369375 + 0.177882i
\(41\) −103346. + 49768.6i −1.49948 + 0.722111i −0.990351 0.138580i \(-0.955746\pi\)
−0.509128 + 0.860691i \(0.670032\pi\)
\(42\) 121577.i 1.64098i
\(43\) −50100.9 61735.4i −0.630144 0.776478i
\(44\) 62846.2 0.737770
\(45\) 20826.3 + 43246.2i 0.228546 + 0.474581i
\(46\) −61753.7 + 128233.i −0.634438 + 1.31742i
\(47\) −47379.2 + 59411.7i −0.456346 + 0.572240i −0.955769 0.294118i \(-0.904974\pi\)
0.499423 + 0.866358i \(0.333545\pi\)
\(48\) 174246. + 39770.5i 1.57558 + 0.359615i
\(49\) −1688.64 −0.0143532
\(50\) 64463.5i 0.515708i
\(51\) 132182. + 30169.6i 0.996463 + 0.227436i
\(52\) 21794.7 + 27329.7i 0.155003 + 0.194368i
\(53\) −53480.5 234313.i −0.359226 1.57387i −0.755127 0.655578i \(-0.772425\pi\)
0.395901 0.918293i \(-0.370432\pi\)
\(54\) −50170.5 62911.9i −0.318616 0.399532i
\(55\) 71177.9 + 147802.i 0.427816 + 0.888369i
\(56\) 21025.2 92117.2i 0.119722 0.524538i
\(57\) 124596. 60002.3i 0.672790 0.323999i
\(58\) −90984.1 + 114090.i −0.466317 + 0.584744i
\(59\) 8375.71 + 36696.4i 0.0407817 + 0.178677i 0.991217 0.132246i \(-0.0422190\pi\)
−0.950435 + 0.310923i \(0.899362\pi\)
\(60\) −27506.4 120513.i −0.127344 0.557932i
\(61\) −110436. + 229323.i −0.486544 + 1.01032i 0.502757 + 0.864428i \(0.332319\pi\)
−0.989301 + 0.145890i \(0.953395\pi\)
\(62\) −22796.6 18179.7i −0.0956522 0.0762801i
\(63\) 135140. 107770.i 0.540457 0.431000i
\(64\) −10477.6 5045.73i −0.0399688 0.0192479i
\(65\) −39590.2 + 82209.9i −0.144161 + 0.299353i
\(66\) 375238. + 470533.i 1.30519 + 1.63666i
\(67\) 42707.3 53553.3i 0.141997 0.178058i −0.705748 0.708463i \(-0.749389\pi\)
0.847744 + 0.530405i \(0.177960\pi\)
\(68\) −128037. 61659.3i −0.407201 0.196097i
\(69\) −484705. + 110631.i −1.47547 + 0.336766i
\(70\) −324297. + 74018.7i −0.945472 + 0.215798i
\(71\) −256542. 204585.i −0.716776 0.571610i 0.195738 0.980656i \(-0.437290\pi\)
−0.912513 + 0.409047i \(0.865861\pi\)
\(72\) 59379.1 + 123302.i 0.159088 + 0.330349i
\(73\) −420672. 96015.5i −1.08137 0.246816i −0.355520 0.934669i \(-0.615696\pi\)
−0.725850 + 0.687853i \(0.758553\pi\)
\(74\) −283363. + 136460.i −0.699274 + 0.336753i
\(75\) −176053. + 140397.i −0.417310 + 0.332794i
\(76\) −141317. + 32254.6i −0.321923 + 0.0734769i
\(77\) 461866. 368326.i 1.01168 0.806789i
\(78\) −74488.8 + 326357.i −0.156966 + 0.687715i
\(79\) 34711.4 0.0704029 0.0352014 0.999380i \(-0.488793\pi\)
0.0352014 + 0.999380i \(0.488793\pi\)
\(80\) 489000.i 0.955079i
\(81\) 143714. 629651.i 0.270423 1.18480i
\(82\) 900159. + 717853.i 1.63259 + 1.30195i
\(83\) 923422. + 444697.i 1.61498 + 0.777731i 0.999942 0.0107693i \(-0.00342806\pi\)
0.615034 + 0.788501i \(0.289142\pi\)
\(84\) −401054. + 193137.i −0.676652 + 0.325858i
\(85\) 370952.i 0.604034i
\(86\) −340107. + 721948.i −0.534712 + 1.13504i
\(87\) −509743. −0.774094
\(88\) 202940. + 421409.i 0.297796 + 0.618380i
\(89\) 525024. 1.09022e6i 0.744748 1.54648i −0.0900560 0.995937i \(-0.528705\pi\)
0.834804 0.550548i \(-0.185581\pi\)
\(90\) 300394. 376683.i 0.412064 0.516711i
\(91\) 320345. + 73116.7i 0.425103 + 0.0970269i
\(92\) 521112. 0.669217
\(93\) 101853.i 0.126626i
\(94\) 743627. + 169728.i 0.895306 + 0.204348i
\(95\) −235908. 295819.i −0.275151 0.345029i
\(96\) −262621. 1.15062e6i −0.296835 1.30052i
\(97\) 210713. + 264226.i 0.230875 + 0.289508i 0.883752 0.467956i \(-0.155010\pi\)
−0.652877 + 0.757464i \(0.726438\pi\)
\(98\) 7354.20 + 15271.2i 0.00781371 + 0.0162253i
\(99\) −190399. + 834194.i −0.196228 + 0.859729i
\(100\) 212650. 102407.i 0.212650 0.102407i
\(101\) 826639. 1.03657e6i 0.802327 1.00609i −0.197341 0.980335i \(-0.563231\pi\)
0.999668 0.0257517i \(-0.00819793\pi\)
\(102\) −302827. 1.32677e6i −0.285360 1.25025i
\(103\) −64607.6 283064.i −0.0591251 0.259044i 0.936723 0.350070i \(-0.113842\pi\)
−0.995848 + 0.0910264i \(0.970985\pi\)
\(104\) −112878. + 234394.i −0.100348 + 0.208375i
\(105\) −908445. 724461.i −0.784749 0.625817i
\(106\) −1.88609e6 + 1.50410e6i −1.58359 + 1.26287i
\(107\) 679554. + 327256.i 0.554719 + 0.267138i 0.690172 0.723645i \(-0.257535\pi\)
−0.135453 + 0.990784i \(0.543249\pi\)
\(108\) −127830. + 265443.i −0.101476 + 0.210717i
\(109\) −836856. 1.04938e6i −0.646206 0.810317i 0.345558 0.938398i \(-0.387690\pi\)
−0.991764 + 0.128081i \(0.959118\pi\)
\(110\) 1.02666e6 1.28739e6i 0.771342 0.967232i
\(111\) −989823. 476674.i −0.723750 0.348540i
\(112\) −1.71677e6 + 391842.i −1.22196 + 0.278905i
\(113\) −14550.6 + 3321.07i −0.0100843 + 0.00230167i −0.227560 0.973764i \(-0.573075\pi\)
0.217476 + 0.976066i \(0.430218\pi\)
\(114\) −1.08525e6 865462.i −0.732516 0.584162i
\(115\) 590196. + 1.22556e6i 0.388064 + 0.805823i
\(116\) 520895. + 118891.i 0.333715 + 0.0761683i
\(117\) −428793. + 206496.i −0.267725 + 0.128930i
\(118\) 295385. 235562.i 0.179780 0.143370i
\(119\) −1.30233e6 + 297249.i −0.772824 + 0.176392i
\(120\) 719266. 573596.i 0.416242 0.331942i
\(121\) −256517. + 1.12388e6i −0.144797 + 0.634399i
\(122\) 2.55483e6 1.40696
\(123\) 4.02181e6i 2.16126i
\(124\) −23755.8 + 104081.i −0.0124596 + 0.0545891i
\(125\) 1.65358e6 + 1.31869e6i 0.846635 + 0.675169i
\(126\) −1.56316e6 752778.i −0.781433 0.376318i
\(127\) 1.29409e6 623202.i 0.631763 0.304241i −0.0904615 0.995900i \(-0.528834\pi\)
0.722224 + 0.691659i \(0.243120\pi\)
\(128\) 2.03754e6i 0.971573i
\(129\) −2.71240e6 + 643509.i −1.26353 + 0.299768i
\(130\) 915880. 0.416877
\(131\) −1.16865e6 2.42672e6i −0.519840 1.07946i −0.981333 0.192315i \(-0.938401\pi\)
0.461493 0.887144i \(-0.347314\pi\)
\(132\) 956075. 1.98531e6i 0.415690 0.863190i
\(133\) −849520. + 1.06526e6i −0.361093 + 0.452796i
\(134\) −670301. 152992.i −0.278583 0.0635848i
\(135\) −769048. −0.312573
\(136\) 1.05764e6i 0.420458i
\(137\) 4.52528e6 + 1.03287e6i 1.75988 + 0.401682i 0.975746 0.218906i \(-0.0702487\pi\)
0.784137 + 0.620588i \(0.213106\pi\)
\(138\) 3.11141e6 + 3.90159e6i 1.18392 + 1.48458i
\(139\) 470896. + 2.06313e6i 0.175340 + 0.768214i 0.983743 + 0.179584i \(0.0574752\pi\)
−0.808403 + 0.588630i \(0.799668\pi\)
\(140\) 759349. + 952193.i 0.276731 + 0.347009i
\(141\) 1.15604e6 + 2.40053e6i 0.412395 + 0.856348i
\(142\) −732892. + 3.21101e6i −0.255962 + 1.12144i
\(143\) −1.46548e6 + 705739.i −0.501155 + 0.241344i
\(144\) 1.59024e6 1.99409e6i 0.532567 0.667817i
\(145\) 310342. + 1.35970e6i 0.101797 + 0.446004i
\(146\) 963752. + 4.22248e6i 0.309676 + 1.35678i
\(147\) −25689.2 + 53344.2i −0.00808721 + 0.0167933i
\(148\) 900300. + 717965.i 0.277717 + 0.221472i
\(149\) −4.15143e6 + 3.31065e6i −1.25499 + 1.00082i −0.255565 + 0.966792i \(0.582262\pi\)
−0.999421 + 0.0340262i \(0.989167\pi\)
\(150\) 2.03640e6 + 980679.i 0.603378 + 0.290571i
\(151\) 2.10654e6 4.37427e6i 0.611840 1.27050i −0.332988 0.942931i \(-0.608057\pi\)
0.944828 0.327568i \(-0.106229\pi\)
\(152\) −672612. 843428.i −0.191529 0.240169i
\(153\) 1.20634e6 1.51270e6i 0.336818 0.422357i
\(154\) −5.34240e6 2.57276e6i −1.46276 0.704430i
\(155\) −271684. + 62010.0i −0.0729572 + 0.0166520i
\(156\) 1.19491e6 272729.i 0.314746 0.0718387i
\(157\) −3.18392e6 2.53909e6i −0.822742 0.656115i 0.118835 0.992914i \(-0.462084\pi\)
−0.941576 + 0.336799i \(0.890656\pi\)
\(158\) −151171. 313910.i −0.0383264 0.0795855i
\(159\) −8.21554e6 1.87514e6i −2.04383 0.466491i
\(160\) −2.90929e6 + 1.40104e6i −0.710275 + 0.342050i
\(161\) 3.82972e6 3.05410e6i 0.917677 0.731823i
\(162\) −6.32010e6 + 1.44252e6i −1.48655 + 0.339295i
\(163\) −290331. + 231531.i −0.0670395 + 0.0534622i −0.656436 0.754381i \(-0.727937\pi\)
0.589397 + 0.807844i \(0.299365\pi\)
\(164\) 938034. 4.10979e6i 0.212661 0.931727i
\(165\) 5.75189e6 1.28044
\(166\) 1.02876e7i 2.24900i
\(167\) −778084. + 3.40901e6i −0.167062 + 0.731945i 0.820100 + 0.572221i \(0.193918\pi\)
−0.987162 + 0.159725i \(0.948939\pi\)
\(168\) −2.59013e6 2.06556e6i −0.546252 0.435621i
\(169\) 3.53368e6 + 1.70173e6i 0.732095 + 0.352558i
\(170\) −3.35468e6 + 1.61553e6i −0.682818 + 0.328828i
\(171\) 1.97350e6i 0.394682i
\(172\) 2.92183e6 24955.4i 0.574208 0.00490433i
\(173\) 6.60399e6 1.27546 0.637732 0.770258i \(-0.279873\pi\)
0.637732 + 0.770258i \(0.279873\pi\)
\(174\) 2.21998e6 + 4.60983e6i 0.421406 + 0.875059i
\(175\) 962614. 1.99889e6i 0.179613 0.372971i
\(176\) 5.43494e6 6.81520e6i 0.996912 1.25009i
\(177\) 1.28666e6 + 293671.i 0.232029 + 0.0529592i
\(178\) −1.21459e7 −2.15362
\(179\) 2.69026e6i 0.469068i −0.972108 0.234534i \(-0.924644\pi\)
0.972108 0.234534i \(-0.0753564\pi\)
\(180\) −1.71979e6 392532.i −0.294889 0.0673065i
\(181\) −3.79280e6 4.75602e6i −0.639623 0.802061i 0.351333 0.936251i \(-0.385728\pi\)
−0.990956 + 0.134189i \(0.957157\pi\)
\(182\) −733906. 3.21545e6i −0.121738 0.533369i
\(183\) 5.56425e6 + 6.97734e6i 0.907932 + 1.13851i
\(184\) 1.68275e6 + 3.49426e6i 0.270125 + 0.560921i
\(185\) −668863. + 2.93048e6i −0.105639 + 0.462833i
\(186\) −921098. + 443578.i −0.143142 + 0.0689336i
\(187\) 4.12291e6 5.16996e6i 0.630490 0.790610i
\(188\) −621434. 2.72268e6i −0.0935236 0.409754i
\(189\) 616247. + 2.69996e6i 0.0912787 + 0.399918i
\(190\) −1.64782e6 + 3.42174e6i −0.240242 + 0.498869i
\(191\) −7.05504e6 5.62621e6i −1.01251 0.807450i −0.0311280 0.999515i \(-0.509910\pi\)
−0.981382 + 0.192066i \(0.938481\pi\)
\(192\) −318789. + 254226.i −0.0450401 + 0.0359183i
\(193\) 1.10362e7 + 5.31477e6i 1.53514 + 0.739286i 0.994770 0.102139i \(-0.0325688\pi\)
0.540373 + 0.841425i \(0.318283\pi\)
\(194\) 1.47184e6 3.05630e6i 0.201583 0.418592i
\(195\) 1.99473e6 + 2.50131e6i 0.269017 + 0.337336i
\(196\) 38693.0 48519.5i 0.00513883 0.00644389i
\(197\) 1.84830e6 + 890093.i 0.241754 + 0.116422i 0.550838 0.834612i \(-0.314308\pi\)
−0.309084 + 0.951035i \(0.600023\pi\)
\(198\) 8.37319e6 1.91113e6i 1.07869 0.246203i
\(199\) 2.70975e6 618482.i 0.343850 0.0784816i −0.0471084 0.998890i \(-0.515001\pi\)
0.390959 + 0.920408i \(0.372143\pi\)
\(200\) 1.37336e6 + 1.09521e6i 0.171669 + 0.136902i
\(201\) −1.04204e6 2.16382e6i −0.128321 0.266461i
\(202\) −1.29743e7 2.96129e6i −1.57409 0.359275i
\(203\) 4.52492e6 2.17909e6i 0.540907 0.260487i
\(204\) −3.89563e6 + 3.10666e6i −0.458867 + 0.365935i
\(205\) 1.07278e7 2.44856e6i 1.24523 0.284217i
\(206\) −2.27850e6 + 1.81705e6i −0.260644 + 0.207857i
\(207\) −1.57876e6 + 6.91701e6i −0.177994 + 0.779844i
\(208\) 4.84851e6 0.538788
\(209\) 6.74480e6i 0.738806i
\(210\) −2.59526e6 + 1.13706e7i −0.280235 + 1.22779i
\(211\) −6.83637e6 5.45182e6i −0.727743 0.580356i 0.187977 0.982173i \(-0.439807\pi\)
−0.915720 + 0.401818i \(0.868378\pi\)
\(212\) 7.95792e6 + 3.83233e6i 0.835203 + 0.402212i
\(213\) −1.03656e7 + 4.99181e6i −1.07264 + 0.516558i
\(214\) 7.57074e6i 0.772497i
\(215\) 3.36787e6 + 6.84332e6i 0.338876 + 0.688576i
\(216\) −2.19268e6 −0.217577
\(217\) 435407. + 904131.i 0.0426104 + 0.0884815i
\(218\) −5.84546e6 + 1.21382e7i −0.564221 + 1.17162i
\(219\) −9.43277e6 + 1.18283e7i −0.898063 + 1.12614i
\(220\) −5.87773e6 1.34155e6i −0.552003 0.125991i
\(221\) 3.67804e6 0.340753
\(222\) 1.10274e7i 1.00789i
\(223\) −1.49952e7 3.42255e6i −1.35219 0.308628i −0.515774 0.856725i \(-0.672496\pi\)
−0.836415 + 0.548096i \(0.815353\pi\)
\(224\) 7.24998e6 + 9.09119e6i 0.645049 + 0.808866i
\(225\) 715059. + 3.13288e6i 0.0627761 + 0.275040i
\(226\) 93403.0 + 117124.i 0.00809162 + 0.0101466i
\(227\) 967075. + 2.00815e6i 0.0826766 + 0.171680i 0.938209 0.346070i \(-0.112484\pi\)
−0.855532 + 0.517750i \(0.826770\pi\)
\(228\) −1.13092e6 + 4.95487e6i −0.0954171 + 0.418050i
\(229\) −107907. + 51965.2i −0.00898550 + 0.00432719i −0.438371 0.898794i \(-0.644444\pi\)
0.429386 + 0.903121i \(0.358730\pi\)
\(230\) 8.51288e6 1.06748e7i 0.699670 0.877358i
\(231\) −4.60906e6 2.01936e7i −0.373918 1.63824i
\(232\) 884836. + 3.87672e6i 0.0708596 + 0.310456i
\(233\) 496135. 1.03024e6i 0.0392222 0.0814458i −0.880437 0.474163i \(-0.842751\pi\)
0.919659 + 0.392717i \(0.128465\pi\)
\(234\) 3.73486e6 + 2.97845e6i 0.291492 + 0.232457i
\(235\) 5.69941e6 4.54512e6i 0.439163 0.350221i
\(236\) −1.24631e6 600191.i −0.0948179 0.0456619i
\(237\) 528061. 1.09653e6i 0.0396679 0.0823712i
\(238\) 8.35992e6 + 1.04830e7i 0.620114 + 0.777598i
\(239\) −1.15883e7 + 1.45313e7i −0.848841 + 1.06441i 0.148307 + 0.988941i \(0.452617\pi\)
−0.997148 + 0.0754711i \(0.975954\pi\)
\(240\) −1.54475e7 7.43912e6i −1.11744 0.538131i
\(241\) −1.92345e7 + 4.39016e6i −1.37414 + 0.313638i −0.844941 0.534860i \(-0.820364\pi\)
−0.529199 + 0.848498i \(0.677507\pi\)
\(242\) 1.12809e7 2.57478e6i 0.795969 0.181675i
\(243\) −1.31352e7 1.04750e7i −0.915414 0.730018i
\(244\) −4.05860e6 8.42778e6i −0.279388 0.580154i
\(245\) 157931. + 36046.8i 0.0107392 + 0.00245114i
\(246\) 3.63710e7 1.75153e7i 2.44315 1.17656i
\(247\) 2.93309e6 2.33906e6i 0.194641 0.155221i
\(248\) −774614. + 176801.i −0.0507844 + 0.0115912i
\(249\) 2.80959e7 2.24057e7i 1.81989 1.45131i
\(250\) 4.72398e6 2.06971e7i 0.302335 1.32461i
\(251\) 9.30643e6 0.588521 0.294261 0.955725i \(-0.404927\pi\)
0.294261 + 0.955725i \(0.404927\pi\)
\(252\) 6.35236e6i 0.396948i
\(253\) −5.39573e6 + 2.36402e7i −0.333187 + 1.45979i
\(254\) −1.12718e7 8.98894e6i −0.687846 0.548539i
\(255\) −1.17184e7 5.64326e6i −0.706718 0.340338i
\(256\) −1.90969e7 + 9.19659e6i −1.13826 + 0.548159i
\(257\) 3.97449e6i 0.234143i −0.993123 0.117072i \(-0.962649\pi\)
0.993123 0.117072i \(-0.0373507\pi\)
\(258\) 1.76323e7 + 2.17269e7i 1.02671 + 1.26514i
\(259\) 1.08242e7 0.623015
\(260\) −1.45497e6 3.02127e6i −0.0827815 0.171898i
\(261\) −3.15621e6 + 6.55394e6i −0.177519 + 0.368622i
\(262\) −1.68563e7 + 2.11372e7i −0.937259 + 1.17529i
\(263\) −2.81327e7 6.42110e6i −1.54648 0.352974i −0.637711 0.770276i \(-0.720118\pi\)
−0.908768 + 0.417302i \(0.862976\pi\)
\(264\) 1.63996e7 0.891294
\(265\) 2.30559e7i 1.23892i
\(266\) 1.33334e7 + 3.04326e6i 0.708428 + 0.161694i
\(267\) −2.64530e7 3.31710e7i −1.38976 1.74271i
\(268\) 560156. + 2.45421e6i 0.0291008 + 0.127499i
\(269\) 1.63159e7 + 2.04595e7i 0.838214 + 1.05109i 0.997955 + 0.0639279i \(0.0203628\pi\)
−0.159741 + 0.987159i \(0.551066\pi\)
\(270\) 3.34927e6 + 6.95484e6i 0.170161 + 0.353342i
\(271\) −6.81735e6 + 2.98687e7i −0.342537 + 1.50075i 0.451162 + 0.892442i \(0.351010\pi\)
−0.793699 + 0.608311i \(0.791847\pi\)
\(272\) −1.77591e7 + 8.55234e6i −0.882500 + 0.424989i
\(273\) 7.18313e6 9.00737e6i 0.353042 0.442700i
\(274\) −1.03674e7 4.54223e7i −0.503983 2.20810i
\(275\) 2.44385e6 + 1.07072e7i 0.117511 + 0.514847i
\(276\) 7.92763e6 1.64619e7i 0.377065 0.782983i
\(277\) 2.47775e7 + 1.97594e7i 1.16578 + 0.929681i 0.998419 0.0562145i \(-0.0179031\pi\)
0.167364 + 0.985895i \(0.446475\pi\)
\(278\) 1.66070e7 1.32436e7i 0.772960 0.616415i
\(279\) −1.30955e6 630648.i −0.0602991 0.0290385i
\(280\) −3.93278e6 + 8.16650e6i −0.179154 + 0.372016i
\(281\) −2.55088e7 3.19870e7i −1.14966 1.44163i −0.877626 0.479346i \(-0.840874\pi\)
−0.272037 0.962287i \(-0.587697\pi\)
\(282\) 1.66744e7 2.09091e7i 0.743539 0.932369i
\(283\) 2.57536e7 + 1.24023e7i 1.13626 + 0.547196i 0.904880 0.425666i \(-0.139960\pi\)
0.231384 + 0.972862i \(0.425675\pi\)
\(284\) 1.17566e7 2.68338e6i 0.513249 0.117146i
\(285\) −1.29338e7 + 2.95205e6i −0.558715 + 0.127523i
\(286\) 1.27646e7 + 1.01794e7i 0.545644 + 0.435137i
\(287\) −1.71927e7 3.57010e7i −0.727275 1.51020i
\(288\) −1.64200e7 3.74775e6i −0.687377 0.156889i
\(289\) 8.27526e6 3.98516e6i 0.342838 0.165102i
\(290\) 1.09448e7 8.72817e6i 0.448759 0.357873i
\(291\) 1.15525e7 2.63677e6i 0.468808 0.107002i
\(292\) 1.23979e7 9.88702e6i 0.497967 0.397115i
\(293\) 2.88650e6 1.26466e7i 0.114754 0.502772i −0.884583 0.466382i \(-0.845557\pi\)
0.999338 0.0363897i \(-0.0115857\pi\)
\(294\) 594294. 0.0233862
\(295\) 3.61084e6i 0.140651i
\(296\) −1.90704e6 + 8.35528e6i −0.0735333 + 0.322171i
\(297\) −1.07182e7 8.54749e6i −0.409122 0.326264i
\(298\) 4.80196e7 + 2.31250e7i 1.81455 + 0.873842i
\(299\) −1.21516e7 + 5.85188e6i −0.454588 + 0.218918i
\(300\) 8.27551e6i 0.306500i
\(301\) 2.13267e7 1.73075e7i 0.782031 0.634651i
\(302\) −4.87326e7 −1.76929
\(303\) −2.01697e7 4.18828e7i −0.725055 1.50559i
\(304\) −8.72329e6 + 1.81141e7i −0.310498 + 0.644757i
\(305\) 1.52239e7 1.90901e7i 0.536569 0.672836i
\(306\) −1.89338e7 4.32151e6i −0.660805 0.150824i
\(307\) 1.93584e7 0.669044 0.334522 0.942388i \(-0.391425\pi\)
0.334522 + 0.942388i \(0.391425\pi\)
\(308\) 2.17104e7i 0.743046i
\(309\) −9.92486e6 2.26528e6i −0.336395 0.0767799i
\(310\) 1.74399e6 + 2.18690e6i 0.0585409 + 0.0734079i
\(311\) 6.31336e6 + 2.76606e7i 0.209884 + 0.919562i 0.964643 + 0.263560i \(0.0848967\pi\)
−0.754759 + 0.656002i \(0.772246\pi\)
\(312\) 5.68728e6 + 7.13163e6i 0.187258 + 0.234815i
\(313\) −1.16951e7 2.42851e7i −0.381391 0.791967i −0.999980 0.00625261i \(-0.998010\pi\)
0.618589 0.785715i \(-0.287705\pi\)
\(314\) −9.09587e6 + 3.98516e7i −0.293802 + 1.28723i
\(315\) −1.49395e7 + 7.19450e6i −0.477975 + 0.230181i
\(316\) −795365. + 997356.i −0.0252061 + 0.0316074i
\(317\) −7.91522e6 3.46789e7i −0.248476 1.08865i −0.933062 0.359714i \(-0.882874\pi\)
0.684586 0.728932i \(-0.259983\pi\)
\(318\) 1.88217e7 + 8.24632e7i 0.585298 + 2.56436i
\(319\) −1.07870e7 + 2.23994e7i −0.332298 + 0.690024i
\(320\) 872211. + 695565.i 0.0266178 + 0.0212270i
\(321\) 2.06760e7 1.64886e7i 0.625103 0.498503i
\(322\) −4.42984e7 2.13330e7i −1.32685 0.638975i
\(323\) −6.61742e6 + 1.37412e7i −0.196373 + 0.407772i
\(324\) 1.47987e7 + 1.85569e7i 0.435098 + 0.545596i
\(325\) −3.80870e6 + 4.77595e6i −0.110950 + 0.139127i
\(326\) 3.35826e6 + 1.61725e6i 0.0969307 + 0.0466794i
\(327\) −4.58810e7 + 1.04720e7i −1.31217 + 0.299494i
\(328\) 3.05868e7 6.98124e6i 0.866788 0.197839i
\(329\) −2.05239e7 1.63673e7i −0.576332 0.459610i
\(330\) −2.50500e7 5.20169e7i −0.697054 1.44745i
\(331\) −2.79808e7 6.38642e6i −0.771570 0.176106i −0.181427 0.983404i \(-0.558072\pi\)
−0.590143 + 0.807299i \(0.700929\pi\)
\(332\) −3.39364e7 + 1.63429e7i −0.927366 + 0.446596i
\(333\) −1.22575e7 + 9.77505e6i −0.331948 + 0.264720i
\(334\) 3.42178e7 7.80999e6i 0.918359 0.209610i
\(335\) −5.13741e6 + 4.09695e6i −0.136650 + 0.108975i
\(336\) −1.37388e7 + 6.01938e7i −0.362187 + 1.58684i
\(337\) 6.37186e7 1.66485 0.832427 0.554134i \(-0.186951\pi\)
0.832427 + 0.554134i \(0.186951\pi\)
\(338\) 3.93678e7i 1.01951i
\(339\) −116444. + 510175.i −0.00298895 + 0.0130954i
\(340\) 1.06585e7 + 8.49988e6i 0.271181 + 0.216260i
\(341\) −4.47566e6 2.15536e6i −0.112874 0.0543572i
\(342\) −1.78472e7 + 8.59475e6i −0.446161 + 0.214860i
\(343\) 4.00588e7i 0.992695i
\(344\) 9.60235e6 + 1.95114e7i 0.235886 + 0.479307i
\(345\) 4.76938e7 1.16146
\(346\) −2.87610e7 5.97228e7i −0.694345 1.44182i
\(347\) −2.04961e7 + 4.25606e7i −0.490549 + 1.01864i 0.497922 + 0.867222i \(0.334097\pi\)
−0.988471 + 0.151413i \(0.951618\pi\)
\(348\) 1.16801e7 1.46464e7i 0.277146 0.347530i
\(349\) 6.53001e7 + 1.49043e7i 1.53616 + 0.350619i 0.905129 0.425136i \(-0.139774\pi\)
0.631034 + 0.775755i \(0.282631\pi\)
\(350\) −2.22691e7 −0.519396
\(351\) 7.62522e6i 0.176332i
\(352\) −5.61184e7 1.28087e7i −1.28670 0.293681i
\(353\) 4.56843e7 + 5.72863e7i 1.03859 + 1.30235i 0.951998 + 0.306103i \(0.0990252\pi\)
0.0865890 + 0.996244i \(0.472403\pi\)
\(354\) −2.94771e6 1.29148e7i −0.0664470 0.291123i
\(355\) 1.96260e7 + 2.46103e7i 0.438679 + 0.550087i
\(356\) 1.92950e7 + 4.00665e7i 0.427656 + 0.888037i
\(357\) −1.04222e7 + 4.56626e7i −0.229063 + 1.00359i
\(358\) −2.43292e7 + 1.17163e7i −0.530249 + 0.255354i
\(359\) −2.64429e7 + 3.31584e7i −0.571513 + 0.716655i −0.980639 0.195823i \(-0.937262\pi\)
0.409126 + 0.912478i \(0.365834\pi\)
\(360\) −2.92139e6 1.27994e7i −0.0626155 0.274336i
\(361\) −7.00706e6 3.06999e7i −0.148941 0.652553i
\(362\) −2.64928e7 + 5.50128e7i −0.558473 + 1.15968i
\(363\) 3.16008e7 + 2.52008e7i 0.660661 + 0.526859i
\(364\) −9.44113e6 + 7.52905e6i −0.195758 + 0.156112i
\(365\) 3.72939e7 + 1.79598e7i 0.766937 + 0.369337i
\(366\) 3.88664e7 8.07069e7i 0.792741 1.64614i
\(367\) 8.76277e6 + 1.09882e7i 0.177273 + 0.222294i 0.862527 0.506010i \(-0.168880\pi\)
−0.685254 + 0.728304i \(0.740309\pi\)
\(368\) 4.50657e7 5.65106e7i 0.904279 1.13393i
\(369\) 5.17098e7 + 2.49021e7i 1.02919 + 0.495630i
\(370\) 2.94146e7 6.71369e6i 0.580708 0.132543i
\(371\) 8.09442e7 1.84750e7i 1.58513 0.361795i
\(372\) 2.92651e6 + 2.33382e6i 0.0568489 + 0.0453355i
\(373\) −2.23501e7 4.64105e7i −0.430679 0.894314i −0.997513 0.0704823i \(-0.977546\pi\)
0.566834 0.823832i \(-0.308168\pi\)
\(374\) −6.47099e7 1.47696e7i −1.23696 0.282328i
\(375\) 6.68132e7 3.21755e7i 1.26698 0.610143i
\(376\) 1.62499e7 1.29589e7i 0.305695 0.243783i
\(377\) −1.34816e7 + 3.07709e6i −0.251604 + 0.0574270i
\(378\) 2.17331e7 1.73316e7i 0.402389 0.320894i
\(379\) −2.18705e6 + 9.58208e6i −0.0401736 + 0.176012i −0.991034 0.133607i \(-0.957344\pi\)
0.950861 + 0.309618i \(0.100201\pi\)
\(380\) 1.39052e7 0.253412
\(381\) 5.03610e7i 0.910583i
\(382\) −2.01549e7 + 8.83045e7i −0.361569 + 1.58414i
\(383\) −1.09290e7 8.71556e6i −0.194528 0.155131i 0.521382 0.853323i \(-0.325417\pi\)
−0.715910 + 0.698192i \(0.753988\pi\)
\(384\) −6.43657e7 3.09969e7i −1.13674 0.547424i
\(385\) −5.10588e7 + 2.45886e7i −0.894722 + 0.430875i
\(386\) 1.22952e8i 2.13783i
\(387\) −8.52075e6 + 3.88587e7i −0.147009 + 0.670433i
\(388\) −1.24202e7 −0.212634
\(389\) −6.77897e6 1.40767e7i −0.115164 0.239140i 0.835418 0.549616i \(-0.185226\pi\)
−0.950581 + 0.310476i \(0.899512\pi\)
\(390\) 1.39332e7 2.89326e7i 0.234886 0.487746i
\(391\) 3.41865e7 4.28685e7i 0.571906 0.717147i
\(392\) 450288. + 102775.i 0.00747536 + 0.00170620i
\(393\) −9.44385e7 −1.55586
\(394\) 2.05914e7i 0.336664i
\(395\) −3.24640e6 740969.i −0.0526757 0.0120229i
\(396\) −1.96060e7 2.45852e7i −0.315721 0.395902i
\(397\) −1.22522e7 5.36805e7i −0.195814 0.857916i −0.973395 0.229134i \(-0.926411\pi\)
0.777581 0.628783i \(-0.216446\pi\)
\(398\) −1.73944e7 2.18119e7i −0.275906 0.345975i
\(399\) 2.07280e7 + 4.30421e7i 0.326316 + 0.677602i
\(400\) 7.28471e6 3.19164e7i 0.113824 0.498694i
\(401\) −9.72466e7 + 4.68315e7i −1.50814 + 0.726281i −0.991522 0.129936i \(-0.958523\pi\)
−0.516616 + 0.856217i \(0.672809\pi\)
\(402\) −1.50302e7 + 1.88473e7i −0.231360 + 0.290116i
\(403\) −614838. 2.69378e6i −0.00939389 0.0411573i
\(404\) 1.08423e7 + 4.75033e7i 0.164429 + 0.720411i
\(405\) −2.68818e7 + 5.58207e7i −0.404663 + 0.840292i
\(406\) −3.94129e7 3.14307e7i −0.588925 0.469652i
\(407\) −4.18925e7 + 3.34081e7i −0.621373 + 0.495529i
\(408\) −3.34109e7 1.60899e7i −0.491936 0.236904i
\(409\) 3.66065e6 7.60142e6i 0.0535043 0.111103i −0.872503 0.488610i \(-0.837504\pi\)
0.926007 + 0.377507i \(0.123219\pi\)
\(410\) −6.88642e7 8.63529e7i −0.999176 1.25293i
\(411\) 1.01471e8 1.27240e8i 1.46156 1.83274i
\(412\) 9.61364e6 + 4.62969e6i 0.137466 + 0.0662003i
\(413\) −1.26769e7 + 2.89341e6i −0.179954 + 0.0410734i
\(414\) 6.94293e7 1.58468e7i 0.978457 0.223326i
\(415\) −7.68708e7 6.13024e7i −1.07552 0.857696i
\(416\) −1.38915e7 2.88460e7i −0.192961 0.400687i
\(417\) 7.23379e7 + 1.65106e7i 0.997602 + 0.227696i
\(418\) −6.09962e7 + 2.93742e7i −0.835169 + 0.402196i
\(419\) −9.62482e7 + 7.67553e7i −1.30843 + 1.04344i −0.312822 + 0.949812i \(0.601274\pi\)
−0.995607 + 0.0936260i \(0.970154\pi\)
\(420\) 4.16316e7 9.50215e6i 0.561921 0.128255i
\(421\) 7.44755e7 5.93922e7i 0.998083 0.795945i 0.0190861 0.999818i \(-0.493924\pi\)
0.978997 + 0.203873i \(0.0653529\pi\)
\(422\) −1.95302e7 + 8.55675e7i −0.259878 + 1.13860i
\(423\) 3.80224e7 0.502364
\(424\) 6.57361e7i 0.862395i
\(425\) 5.52613e6 2.42116e7i 0.0719870 0.315396i
\(426\) 9.02862e7 + 7.20009e7i 1.16787 + 0.931341i
\(427\) −7.92203e7 3.81505e7i −1.01754 0.490023i
\(428\) −2.49741e7 + 1.20269e7i −0.318536 + 0.153399i
\(429\) 5.70308e7i 0.722334i
\(430\) 4.72198e7 6.02605e7i 0.593908 0.757927i
\(431\) 1.02269e8 1.27735 0.638676 0.769476i \(-0.279482\pi\)
0.638676 + 0.769476i \(0.279482\pi\)
\(432\) 1.77305e7 + 3.68177e7i 0.219922 + 0.456673i
\(433\) 1.23730e7 2.56927e7i 0.152409 0.316480i −0.810760 0.585379i \(-0.800946\pi\)
0.963168 + 0.268899i \(0.0866599\pi\)
\(434\) 6.28022e6 7.87515e6i 0.0768256 0.0963362i
\(435\) 4.76740e7 + 1.08813e7i 0.579181 + 0.132194i
\(436\) 4.93272e7 0.595151
\(437\) 5.59269e7i 0.670157i
\(438\) 1.48049e8 + 3.37913e7i 1.76191 + 0.402145i
\(439\) −9.54585e7 1.19701e8i −1.12829 1.41483i −0.897046 0.441937i \(-0.854292\pi\)
−0.231245 0.972896i \(-0.574280\pi\)
\(440\) −9.98441e6 4.37445e7i −0.117210 0.513530i
\(441\) 526803. + 660590.i 0.00614232 + 0.00770223i
\(442\) −1.60182e7 3.32622e7i −0.185501 0.385198i
\(443\) 7.86595e6 3.44630e7i 0.0904773 0.396407i −0.909329 0.416077i \(-0.863405\pi\)
0.999807 + 0.0196703i \(0.00626166\pi\)
\(444\) 3.63767e7 1.75181e7i 0.415599 0.200142i
\(445\) −7.23757e7 + 9.07563e7i −0.821321 + 1.02990i
\(446\) 3.43538e7 + 1.50514e8i 0.387231 + 1.69657i
\(447\) 4.14281e7 + 1.81508e8i 0.463844 + 2.03223i
\(448\) 1.74306e6 3.61951e6i 0.0193856 0.0402546i
\(449\) 4.10833e7 + 3.27629e7i 0.453865 + 0.361945i 0.823580 0.567200i \(-0.191973\pi\)
−0.369715 + 0.929145i \(0.620545\pi\)
\(450\) 2.52178e7 2.01106e7i 0.276739 0.220692i
\(451\) 1.76728e8 + 8.51078e7i 1.92653 + 0.927769i
\(452\) 237983. 494177.i 0.00257710 0.00535140i
\(453\) −1.06136e8 1.33091e8i −1.14175 1.43170i
\(454\) 1.39489e7 1.74914e7i 0.149064 0.186920i
\(455\) −2.83997e7 1.36766e7i −0.301494 0.145192i
\(456\) −3.68763e7 + 8.41676e6i −0.388913 + 0.0887668i
\(457\) 6.70704e7 1.53084e7i 0.702720 0.160391i 0.143793 0.989608i \(-0.454070\pi\)
0.558927 + 0.829217i \(0.311213\pi\)
\(458\) 939888. + 749536.i 0.00978317 + 0.00780182i
\(459\) 1.34502e7 + 2.79296e7i 0.139088 + 0.288820i
\(460\) −4.87373e7 1.11240e7i −0.500711 0.114284i
\(461\) 5.97382e7 2.87684e7i 0.609747 0.293639i −0.103415 0.994638i \(-0.532977\pi\)
0.713161 + 0.701000i \(0.247263\pi\)
\(462\) −1.62547e8 + 1.29627e8i −1.64836 + 1.31453i
\(463\) −4.41252e7 + 1.00713e7i −0.444573 + 0.101471i −0.438947 0.898513i \(-0.644648\pi\)
−0.00562693 + 0.999984i \(0.501791\pi\)
\(464\) 5.79398e7 4.62054e7i 0.579993 0.462529i
\(465\) −2.17421e6 + 9.52582e6i −0.0216243 + 0.0947422i
\(466\) −1.14776e7 −0.113421
\(467\) 1.26683e8i 1.24385i 0.783078 + 0.621923i \(0.213648\pi\)
−0.783078 + 0.621923i \(0.786352\pi\)
\(468\) 3.89201e6 1.70520e7i 0.0379696 0.166356i
\(469\) 1.85001e7 + 1.47534e7i 0.179331 + 0.143012i
\(470\) −6.59250e7 3.17478e7i −0.634975 0.305788i
\(471\) −1.28647e8 + 6.19530e7i −1.23122 + 0.592924i
\(472\) 1.02951e7i 0.0979050i
\(473\) −2.91213e7 + 1.32807e8i −0.275187 + 1.25498i
\(474\) −1.22162e7 −0.114710
\(475\) −1.09905e7 2.28221e7i −0.102551 0.212948i
\(476\) 2.13004e7 4.42307e7i 0.197500 0.410113i
\(477\) −7.49781e7 + 9.40195e7i −0.690843 + 0.866289i
\(478\) 1.81881e8 + 4.15131e7i 1.66534 + 0.380103i
\(479\) −1.23793e8 −1.12639 −0.563195 0.826324i \(-0.690428\pi\)
−0.563195 + 0.826324i \(0.690428\pi\)
\(480\) 1.13218e8i 1.02375i
\(481\) −2.90561e7 6.63188e6i −0.261098 0.0595938i
\(482\) 1.23470e8 + 1.54827e8i 1.10261 + 1.38263i
\(483\) −3.82177e7 1.67443e8i −0.339174 1.48602i
\(484\) −2.64144e7 3.31226e7i −0.232972 0.292138i
\(485\) −1.40667e7 2.92099e7i −0.123302 0.256038i
\(486\) −3.75248e7 + 1.64407e8i −0.326896 + 1.43222i
\(487\) 8.71350e7 4.19620e7i 0.754407 0.363303i −0.0168243 0.999858i \(-0.505356\pi\)
0.771231 + 0.636555i \(0.219641\pi\)
\(488\) 4.34057e7 5.44290e7i 0.373497 0.468351i
\(489\) 2.89728e6 + 1.26938e7i 0.0247779 + 0.108559i
\(490\) −361819. 1.58523e6i −0.00307541 0.0134742i
\(491\) −2.49897e7 + 5.18917e7i −0.211114 + 0.438382i −0.979456 0.201657i \(-0.935368\pi\)
0.768342 + 0.640039i \(0.221082\pi\)
\(492\) −1.15558e8 9.21544e7i −0.970297 0.773786i
\(493\) 4.39527e7 3.50511e7i 0.366813 0.292524i
\(494\) −3.39270e7 1.63384e7i −0.281427 0.135528i
\(495\) 3.56144e7 7.39541e7i 0.293637 0.609743i
\(496\) 9.23238e6 + 1.15770e7i 0.0756604 + 0.0948752i
\(497\) 7.06746e7 8.86231e7i 0.575697 0.721901i
\(498\) −3.24985e8 1.56505e8i −2.63133 1.26718i
\(499\) −1.52013e8 + 3.46960e7i −1.22343 + 0.279240i −0.784983 0.619517i \(-0.787329\pi\)
−0.438447 + 0.898757i \(0.644471\pi\)
\(500\) −7.57794e7 + 1.72961e7i −0.606235 + 0.138369i
\(501\) 9.58535e7 + 7.64406e7i 0.762245 + 0.607870i
\(502\) −4.05304e7 8.41622e7i −0.320383 0.665282i
\(503\) −7.74365e7 1.76744e7i −0.608473 0.138880i −0.0928279 0.995682i \(-0.529591\pi\)
−0.515645 + 0.856802i \(0.672448\pi\)
\(504\) −4.25950e7 + 2.05127e7i −0.332711 + 0.160225i
\(505\) −9.94391e7 + 7.93001e7i −0.772117 + 0.615743i
\(506\) 2.37288e8 5.41594e7i 1.83157 0.418045i
\(507\) 1.07515e8 8.57405e7i 0.824985 0.657904i
\(508\) −1.17460e7 + 5.14628e7i −0.0895984 + 0.392556i
\(509\) −2.18946e8 −1.66029 −0.830146 0.557546i \(-0.811743\pi\)
−0.830146 + 0.557546i \(0.811743\pi\)
\(510\) 1.30551e8i 0.984171i
\(511\) 3.31688e7 1.45322e8i 0.248581 1.08910i
\(512\) 6.43849e7 + 5.13453e7i 0.479705 + 0.382552i
\(513\) 2.84879e7 + 1.37191e7i 0.211013 + 0.101618i
\(514\) −3.59430e7 + 1.73093e7i −0.264683 + 0.127464i
\(515\) 2.78529e7i 0.203915i
\(516\) 4.36612e7 9.26801e7i 0.317795 0.674586i
\(517\) 1.29949e8 0.940375
\(518\) −4.71406e7 9.78884e7i −0.339161 0.704275i
\(519\) 1.00466e8 2.08620e8i 0.718649 1.49229i
\(520\) 1.55605e7 1.95123e7i 0.110666 0.138771i
\(521\) 5.71618e7 + 1.30468e7i 0.404197 + 0.0922553i 0.419786 0.907623i \(-0.362105\pi\)
−0.0155890 + 0.999878i \(0.504962\pi\)
\(522\) 7.30158e7 0.513340
\(523\) 9.26923e7i 0.647946i −0.946066 0.323973i \(-0.894981\pi\)
0.946066 0.323973i \(-0.105019\pi\)
\(524\) 9.65046e7 + 2.20265e7i 0.670740 + 0.153092i
\(525\) −4.85006e7 6.08179e7i −0.335173 0.420294i
\(526\) 6.44516e7 + 2.82381e8i 0.442870 + 1.94034i
\(527\) 7.00362e6 + 8.78226e6i 0.0478510 + 0.0600032i
\(528\) −1.32610e8 2.75368e8i −0.900899 1.87074i
\(529\) −1.17995e7 + 5.16970e7i −0.0797071 + 0.349219i
\(530\) 2.08505e8 1.00411e8i 1.40052 0.674453i
\(531\) 1.17425e7 1.47246e7i 0.0784291 0.0983470i
\(532\) −1.11424e7 4.88182e7i −0.0740023 0.324225i
\(533\) 2.42778e7 + 1.06368e8i 0.160335 + 0.702473i
\(534\) −1.84775e8 + 3.83688e8i −1.21344 + 2.51974i
\(535\) −5.65699e7 4.51130e7i −0.369423 0.294605i
\(536\) −1.46476e7 + 1.16811e7i −0.0951200 + 0.0758556i
\(537\) −8.49853e7 4.09268e7i −0.548809 0.264292i
\(538\) 1.13967e8 2.36655e8i 0.731868 1.51974i
\(539\) 1.80045e6 + 2.25769e6i 0.0114978 + 0.0144178i
\(540\) 1.76217e7 2.20969e7i 0.111909 0.140330i
\(541\) 1.43879e8 + 6.92886e7i 0.908670 + 0.437593i 0.829013 0.559230i \(-0.188903\pi\)
0.0796577 + 0.996822i \(0.474617\pi\)
\(542\) 2.99806e8 6.84289e7i 1.88297 0.429775i
\(543\) −2.07942e8 + 4.74614e7i −1.29880 + 0.296443i
\(544\) 1.01764e8 + 8.11537e7i 0.632114 + 0.504094i
\(545\) 5.58666e7 + 1.16008e8i 0.345114 + 0.716637i
\(546\) −1.12741e8 2.57324e7i −0.692633 0.158089i
\(547\) 7.79784e7 3.75524e7i 0.476444 0.229443i −0.180220 0.983626i \(-0.557681\pi\)
0.656664 + 0.754183i \(0.271967\pi\)
\(548\) −1.33368e8 + 1.06357e8i −0.810419 + 0.646288i
\(549\) 1.24163e8 2.83393e7i 0.750368 0.171266i
\(550\) 8.61869e7 6.87318e7i 0.518028 0.413113i
\(551\) 1.27596e7 5.59037e7i 0.0762753 0.334184i
\(552\) 1.35983e8 0.808476
\(553\) 1.19911e7i 0.0709063i
\(554\) 7.07846e7 3.10127e8i 0.416303 1.82394i
\(555\) 8.23984e7 + 6.57106e7i 0.481992 + 0.384376i
\(556\) −7.00695e7 3.37437e7i −0.407666 0.196322i
\(557\) −1.03383e8 + 4.97865e7i −0.598249 + 0.288102i −0.708398 0.705813i \(-0.750582\pi\)
0.110148 + 0.993915i \(0.464867\pi\)
\(558\) 1.45894e7i 0.0839721i
\(559\) −6.78525e7 + 3.33929e7i −0.388446 + 0.191170i
\(560\) 1.68927e8 0.961909
\(561\) −1.00597e8 2.08893e8i −0.569768 1.18314i
\(562\) −1.78179e8 + 3.69994e8i −1.00380 + 2.08442i
\(563\) 6.29302e7 7.89120e7i 0.352642 0.442199i −0.573596 0.819138i \(-0.694452\pi\)
0.926238 + 0.376939i \(0.123024\pi\)
\(564\) −9.54631e7 2.17888e7i −0.532106 0.121450i
\(565\) 1.43174e6 0.00793816
\(566\) 2.86915e8i 1.58235i
\(567\) 2.17515e8 + 4.96463e7i 1.19327 + 0.272357i
\(568\) 5.59570e7 + 7.01678e7i 0.305358 + 0.382907i
\(569\) −7.50086e7 3.28634e8i −0.407169 1.78392i −0.597145 0.802133i \(-0.703698\pi\)
0.189976 0.981789i \(-0.439159\pi\)
\(570\) 8.30244e7 + 1.04109e8i 0.448313 + 0.562166i
\(571\) −9.86820e7 2.04915e8i −0.530066 1.10069i −0.978380 0.206817i \(-0.933690\pi\)
0.448314 0.893876i \(-0.352025\pi\)
\(572\) 1.33017e7 5.82785e7i 0.0710753 0.311401i
\(573\) −2.85059e8 + 1.37277e8i −1.51520 + 0.729684i
\(574\) −2.47984e8 + 3.10963e8i −1.31126 + 1.64427i
\(575\) 2.02641e7 + 8.87826e7i 0.106592 + 0.467008i
\(576\) 1.29480e6 + 5.67288e6i 0.00677540 + 0.0296850i
\(577\) −1.18363e7 + 2.45784e7i −0.0616156 + 0.127946i −0.929503 0.368816i \(-0.879763\pi\)
0.867887 + 0.496762i \(0.165478\pi\)
\(578\) −7.20791e7 5.74811e7i −0.373272 0.297675i
\(579\) 3.35787e8 2.67781e8i 1.72993 1.37957i
\(580\) −4.61791e7 2.22387e7i −0.236680 0.113979i
\(581\) −1.53622e8 + 3.18999e8i −0.783293 + 1.62652i
\(582\) −7.41575e7 9.29905e7i −0.376172 0.471704i
\(583\) −2.56252e8 + 3.21330e8i −1.29319 + 1.62161i
\(584\) 1.06331e8 + 5.12063e7i 0.533853 + 0.257090i
\(585\) 4.45110e7 1.01594e7i 0.222331 0.0507456i
\(586\) −1.26940e8 + 2.89732e7i −0.630819 + 0.143980i
\(587\) 8.67493e7 + 6.91803e7i 0.428896 + 0.342033i 0.814025 0.580830i \(-0.197272\pi\)
−0.385129 + 0.922863i \(0.625843\pi\)
\(588\) −944096. 1.96043e6i −0.00464391 0.00964318i
\(589\) 1.11702e7 + 2.54953e6i 0.0546657 + 0.0124771i
\(590\) −3.26545e7 + 1.57256e7i −0.158996 + 0.0765685i
\(591\) 5.62360e7 4.48467e7i 0.272428 0.217254i
\(592\) 1.55716e8 3.55411e7i 0.750529 0.171303i
\(593\) 2.01265e8 1.60504e8i 0.965173 0.769699i −0.00795448 0.999968i \(-0.502532\pi\)
0.973127 + 0.230269i \(0.0739606\pi\)
\(594\) −3.06199e7 + 1.34155e8i −0.146098 + 0.640098i
\(595\) 1.28146e8 0.608353
\(596\) 1.95142e8i 0.921746i
\(597\) 2.16853e7 9.50097e7i 0.101916 0.446524i
\(598\) 1.05842e8 + 8.44064e7i 0.494944 + 0.394704i
\(599\) −6.79874e7 3.27410e7i −0.316335 0.152339i 0.268978 0.963146i \(-0.413314\pi\)
−0.585313 + 0.810807i \(0.699028\pi\)
\(600\) 5.54905e7 2.67228e7i 0.256901 0.123717i
\(601\) 2.98650e8i 1.37575i 0.725831 + 0.687873i \(0.241456\pi\)
−0.725831 + 0.687873i \(0.758544\pi\)
\(602\) −2.49399e8 1.17491e8i −1.14316 0.538536i
\(603\) −3.42731e7 −0.156315
\(604\) 7.74166e7 + 1.60757e8i 0.351336 + 0.729558i
\(605\) 4.79819e7 9.96354e7i 0.216676 0.449933i
\(606\) −2.90924e8 + 3.64807e8i −1.30726 + 1.63925i
\(607\) −1.88308e8 4.29800e7i −0.841980 0.192176i −0.220285 0.975436i \(-0.570699\pi\)
−0.621695 + 0.783259i \(0.713556\pi\)
\(608\) 1.32762e8 0.590695
\(609\) 1.76092e8i 0.779630i
\(610\) −2.38942e8 5.45369e7i −1.05270 0.240271i
\(611\) 4.50656e7 + 5.65104e7i 0.197570 + 0.247745i
\(612\) 1.58226e7 + 6.93232e7i 0.0690276 + 0.302430i
\(613\) −1.23278e8 1.54586e8i −0.535187 0.671104i 0.438569 0.898698i \(-0.355486\pi\)
−0.973756 + 0.227594i \(0.926914\pi\)
\(614\) −8.43077e7 1.75067e8i −0.364219 0.756308i
\(615\) 8.58519e7 3.76142e8i 0.369084 1.61706i
\(616\) −1.45577e8 + 7.01061e7i −0.622802 + 0.299926i
\(617\) −1.16800e8 + 1.46463e8i −0.497265 + 0.623551i −0.965610 0.259995i \(-0.916279\pi\)
0.468345 + 0.883546i \(0.344851\pi\)
\(618\) 2.27377e7 + 9.96204e7i 0.0963344 + 0.422069i
\(619\) 5.90669e7 + 2.58789e8i 0.249042 + 1.09112i 0.932510 + 0.361143i \(0.117613\pi\)
−0.683469 + 0.729980i \(0.739529\pi\)
\(620\) 4.44354e6 9.22712e6i 0.0186447 0.0387160i
\(621\) −8.88739e7 7.08745e7i −0.371107 0.295948i
\(622\) 2.22652e8 1.77559e8i 0.925243 0.737857i
\(623\) 3.76621e8 + 1.81371e8i 1.55754 + 0.750073i
\(624\) 7.37600e7 1.53164e8i 0.303576 0.630381i
\(625\) −6.39367e7 8.01740e7i −0.261885 0.328393i
\(626\) −1.68688e8 + 2.11528e8i −0.687639 + 0.862273i
\(627\) −2.13068e8 1.02608e8i −0.864402 0.416274i
\(628\) 1.45911e8 3.33032e7i 0.589126 0.134464i
\(629\) 1.18125e8 2.69612e7i 0.474667 0.108340i
\(630\) 1.30126e8 + 1.03772e8i 0.520407 + 0.415010i
\(631\) −4.93297e7 1.02434e8i −0.196345 0.407716i 0.779430 0.626489i \(-0.215509\pi\)
−0.975776 + 0.218774i \(0.929794\pi\)
\(632\) −9.25601e6 2.11262e6i −0.0366668 0.00836895i
\(633\) −2.76224e8 + 1.33022e8i −1.08906 + 0.524462i
\(634\) −2.79145e8 + 2.22610e8i −1.09537 + 0.873530i
\(635\) −1.34334e8 + 3.06608e7i −0.524644 + 0.119746i
\(636\) 2.42126e8 1.93089e8i 0.941175 0.750562i
\(637\) −357409. + 1.56591e6i −0.00138276 + 0.00605828i
\(638\) 2.49546e8 0.960922
\(639\) 1.64182e8i 0.629250i
\(640\) −4.34945e7 + 1.90562e8i −0.165918 + 0.726935i
\(641\) 5.22181e7 + 4.16426e7i 0.198266 + 0.158111i 0.717590 0.696465i \(-0.245245\pi\)
−0.519325 + 0.854577i \(0.673816\pi\)
\(642\) −2.39159e8 1.15173e8i −0.903820 0.435257i
\(643\) 1.31732e8 6.34387e7i 0.495516 0.238628i −0.169398 0.985548i \(-0.554182\pi\)
0.664914 + 0.746920i \(0.268468\pi\)
\(644\) 1.80019e8i 0.674003i
\(645\) 2.67415e8 2.28400e6i 0.996569 0.00851172i
\(646\) 1.53087e8 0.567861
\(647\) 1.10830e8 + 2.30141e8i 0.409208 + 0.849729i 0.999107 + 0.0422518i \(0.0134532\pi\)
−0.589899 + 0.807477i \(0.700833\pi\)
\(648\) −7.66444e7 + 1.59154e8i −0.281680 + 0.584914i
\(649\) 4.01323e7 5.03243e7i 0.146812 0.184096i
\(650\) 5.97783e7 + 1.36440e7i 0.217672 + 0.0496823i
\(651\) 3.51853e7 0.127532
\(652\) 1.36473e7i 0.0492383i
\(653\) −2.64151e8 6.02908e7i −0.948666 0.216527i −0.279925 0.960022i \(-0.590309\pi\)
−0.668741 + 0.743495i \(0.733167\pi\)
\(654\) 2.94519e8 + 3.69316e8i 1.05288 + 1.32027i
\(655\) 5.74961e7 + 2.51907e8i 0.204604 + 0.896430i
\(656\) −3.64555e8 4.57137e8i −1.29137 1.61933i
\(657\) 9.36752e7 + 1.94519e8i 0.330315 + 0.685907i
\(658\) −5.86330e7 + 2.56888e8i −0.205809 + 0.901709i
\(659\) 3.04948e8 1.46855e8i 1.06554 0.513136i 0.182872 0.983137i \(-0.441461\pi\)
0.882666 + 0.470001i \(0.155746\pi\)
\(660\) −1.31797e8 + 1.65268e8i −0.458431 + 0.574854i
\(661\) −4.08103e7 1.78801e8i −0.141307 0.619108i −0.995132 0.0985479i \(-0.968580\pi\)
0.853825 0.520560i \(-0.174277\pi\)
\(662\) 6.41035e7 + 2.80856e8i 0.220957 + 0.968076i
\(663\) 5.59538e7 1.16189e8i 0.191994 0.398681i
\(664\) −2.19171e8 1.74783e8i −0.748651 0.597029i
\(665\) 1.02192e8 8.14951e7i 0.347496 0.277119i
\(666\) 1.41783e8 + 6.82790e7i 0.479955 + 0.231134i
\(667\) −8.94440e7 + 1.85732e8i −0.301421 + 0.625907i
\(668\) −8.01217e7 1.00469e8i −0.268795 0.337058i
\(669\) −3.36239e8 + 4.21630e8i −1.12297 + 1.40816i
\(670\) 5.94244e7 + 2.86173e7i 0.197579 + 0.0951489i
\(671\) 4.24350e8 9.68551e7i 1.40461 0.320594i
\(672\) 3.97484e8 9.07231e7i 1.30982 0.298958i
\(673\) −1.29728e6 1.03454e6i −0.00425586 0.00339394i 0.621360 0.783526i \(-0.286581\pi\)
−0.625615 + 0.780132i \(0.715152\pi\)
\(674\) −2.77500e8 5.76235e8i −0.906325 1.88200i
\(675\) −5.01947e7 1.14566e7i −0.163210 0.0372516i
\(676\) −1.29865e8 + 6.25398e7i −0.420390 + 0.202449i
\(677\) 1.86734e8 1.48915e8i 0.601807 0.479925i −0.274560 0.961570i \(-0.588532\pi\)
0.876366 + 0.481645i \(0.159961\pi\)
\(678\) 5.12086e6 1.16880e6i 0.0164306 0.00375018i
\(679\) −9.12776e7 + 7.27915e7i −0.291578 + 0.232526i
\(680\) −2.25771e7 + 9.89168e7i −0.0718029 + 0.314589i
\(681\) 7.81495e7 0.247448
\(682\) 4.98621e7i 0.157187i
\(683\) −6.53993e7 + 2.86533e8i −0.205263 + 0.899317i 0.762407 + 0.647098i \(0.224017\pi\)
−0.967670 + 0.252219i \(0.918840\pi\)
\(684\) 5.67041e7 + 4.52200e7i 0.177193 + 0.141307i
\(685\) −4.01181e8 1.93199e8i −1.24816 0.601080i
\(686\) 3.62270e8 1.74460e8i 1.12217 0.540410i
\(687\) 4.19931e6i 0.0129511i
\(688\) 2.49973e8 3.19008e8i 0.767589 0.979573i
\(689\) −2.28603e8 −0.698913
\(690\) −2.07711e8 4.31317e8i −0.632284 1.31295i
\(691\) −2.03608e8 + 4.22797e8i −0.617109 + 1.28144i 0.324867 + 0.945760i \(0.394680\pi\)
−0.941976 + 0.335680i \(0.891034\pi\)
\(692\) −1.51322e8 + 1.89751e8i −0.456649 + 0.572620i
\(693\) −2.88175e8 6.57740e7i −0.865877 0.197631i
\(694\) 4.74156e8 1.41854
\(695\) 2.03007e8i 0.604724i
\(696\) 1.35926e8 + 3.10243e7i 0.403159 + 0.0920183i
\(697\) −2.76549e8 3.46781e8i −0.816720 1.02413i
\(698\) −1.49602e8 6.55447e8i −0.439916 1.92740i
\(699\) −2.49974e7 3.13458e7i −0.0731920 0.0917798i
\(700\) 3.53767e7 + 7.34605e7i 0.103139 + 0.214171i
\(701\) −1.60840e7 + 7.04688e7i −0.0466919 + 0.204570i −0.992893 0.119008i \(-0.962029\pi\)
0.946201 + 0.323578i \(0.104886\pi\)
\(702\) −6.89582e7 + 3.32085e7i −0.199331 + 0.0959927i
\(703\) 7.70537e7 9.66223e7i 0.221783 0.278107i
\(704\) 4.42523e6 + 1.93882e7i 0.0126829 + 0.0555673i
\(705\) −5.68757e7 2.49189e8i −0.162315 0.711149i
\(706\) 3.19106e8 6.62631e8i 0.906820 1.88303i
\(707\) 3.58087e8 + 2.85565e8i 1.01328 + 0.808065i
\(708\) −3.79200e7 + 3.02402e7i −0.106849 + 0.0852089i
\(709\) −2.89816e8 1.39568e8i −0.813174 0.391604i −0.0193963 0.999812i \(-0.506174\pi\)
−0.793778 + 0.608208i \(0.791889\pi\)
\(710\) 1.37088e8 2.84667e8i 0.383023 0.795356i
\(711\) −1.08288e7 1.35789e7i −0.0301282 0.0377795i
\(712\) −2.06355e8 + 2.58761e8i −0.571709 + 0.716900i
\(713\) −3.71115e7 1.78719e7i −0.102386 0.0493064i
\(714\) 4.58337e8 1.04612e8i 1.25919 0.287401i
\(715\) 1.52125e8 3.47216e7i 0.416182 0.0949907i
\(716\) 7.72989e7 + 6.16438e7i 0.210588 + 0.167939i
\(717\) 2.82750e8 + 5.87137e8i 0.767089 + 1.59288i
\(718\) 4.15028e8 + 9.47273e7i 1.12125 + 0.255919i
\(719\) 4.51348e7 2.17358e7i 0.121430 0.0584775i −0.372183 0.928160i \(-0.621390\pi\)
0.493612 + 0.869682i \(0.335676\pi\)
\(720\) −1.91295e8 + 1.52552e8i −0.512514 + 0.408716i
\(721\) 9.77854e7 2.23189e7i 0.260896 0.0595479i
\(722\) −2.47117e8 + 1.97069e8i −0.656584 + 0.523608i
\(723\) −1.53929e8 + 6.74405e8i −0.407291 + 1.78446i
\(724\) 2.23561e8 0.589088
\(725\) 9.33689e7i 0.245013i
\(726\) 9.02776e7 3.95532e8i 0.235923 1.03365i
\(727\) 4.26592e7 + 3.40196e7i 0.111022 + 0.0885371i 0.677427 0.735590i \(-0.263095\pi\)
−0.566405 + 0.824127i \(0.691666\pi\)
\(728\) −8.09720e7 3.89941e7i −0.209865 0.101066i
\(729\) −1.06534e8 + 5.13040e7i −0.274982 + 0.132424i
\(730\) 4.15482e8i 1.06803i
\(731\) 1.89628e8 2.41997e8i 0.485457 0.619525i
\(732\) −3.27976e8 −0.836198
\(733\) −2.97110e7 6.16956e7i −0.0754407 0.156654i 0.859837 0.510568i \(-0.170565\pi\)
−0.935278 + 0.353914i \(0.884851\pi\)
\(734\) 6.12082e7 1.27100e8i 0.154782 0.321409i
\(735\) 3.54131e6 4.44067e6i 0.00891872 0.0111837i
\(736\) −4.65326e8 1.06208e8i −1.16714 0.266392i
\(737\) −1.17135e8 −0.292607
\(738\) 5.76086e8i 1.43324i
\(739\) −3.85450e8 8.79764e7i −0.955068 0.217988i −0.283535 0.958962i \(-0.591507\pi\)
−0.671534 + 0.740974i \(0.734364\pi\)
\(740\) −6.88749e7 8.63665e7i −0.169968 0.213133i
\(741\) −2.92700e7 1.28240e8i −0.0719395 0.315188i
\(742\) −5.19597e8 6.51554e8i −1.27190 1.59492i
\(743\) 3.06728e8 + 6.36927e8i 0.747802 + 1.55283i 0.830987 + 0.556292i \(0.187777\pi\)
−0.0831847 + 0.996534i \(0.526509\pi\)
\(744\) −6.19902e6 + 2.71597e7i −0.0150523 + 0.0659486i
\(745\) 4.58936e8 2.21012e8i 1.10990 0.534499i
\(746\) −3.22374e8 + 4.04244e8i −0.776504 + 0.973705i
\(747\) −1.14115e8 4.99970e8i −0.273767 1.19945i
\(748\) 5.40767e7 + 2.36926e8i 0.129213 + 0.566118i
\(749\) −1.13052e8 + 2.34754e8i −0.269049 + 0.558685i
\(750\) −5.81955e8 4.64094e8i −1.37945 1.10007i
\(751\) 5.64777e8 4.50395e8i 1.33339 1.06334i 0.341019 0.940056i \(-0.389228\pi\)
0.992371 0.123287i \(-0.0393435\pi\)
\(752\) −3.48996e8 1.68067e8i −0.820666 0.395212i
\(753\) 1.41578e8 2.93990e8i 0.331597 0.688569i
\(754\) 8.65411e7 + 1.08519e8i 0.201887 + 0.253158i
\(755\) −2.90391e8 + 3.64138e8i −0.674748 + 0.846107i
\(756\) −9.16979e7 4.41594e7i −0.212224 0.102202i
\(757\) 4.50438e8