Properties

Label 177.4.e.a.7.3
Level $177$
Weight $4$
Character 177.7
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.3
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.a.76.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.23303 - 3.29348i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-2.89945 + 7.27707i) q^{4} +(-6.22504 + 2.88001i) q^{5} +(10.2286 - 6.15436i) q^{6} +(-3.74407 + 13.4849i) q^{7} +(-0.647313 + 0.142484i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-2.23303 - 3.29348i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-2.89945 + 7.27707i) q^{4} +(-6.22504 + 2.88001i) q^{5} +(10.2286 - 6.15436i) q^{6} +(-3.74407 + 13.4849i) q^{7} +(-0.647313 + 0.142484i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(23.3860 + 14.0709i) q^{10} +(30.5851 - 28.9717i) q^{11} +(-21.3283 - 9.86751i) q^{12} +(-24.0794 + 2.61879i) q^{13} +(52.7729 - 17.7813i) q^{14} +(-7.61630 - 19.1155i) q^{15} +(47.4110 + 44.9101i) q^{16} +(-7.41056 - 26.6904i) q^{17} +(16.7747 + 31.6404i) q^{18} +(123.989 - 94.2539i) q^{19} +(-2.90884 - 53.6505i) q^{20} +(-39.7873 - 13.4059i) q^{21} +(-163.715 - 36.0364i) q^{22} +(76.9935 - 145.225i) q^{23} +(-0.321692 - 1.96223i) q^{24} +(-50.4667 + 59.4139i) q^{25} +(62.3949 + 73.4570i) q^{26} +(4.36811 - 26.6443i) q^{27} +(-87.2749 - 66.3447i) q^{28} +(66.4509 - 98.0078i) q^{29} +(-45.9489 + 67.7696i) q^{30} +(38.8511 + 29.5338i) q^{31} +(41.1822 - 251.200i) q^{32} +(81.8202 + 96.3262i) q^{33} +(-71.3563 + 84.0071i) q^{34} +(-15.5297 - 94.7270i) q^{35} +(33.0232 - 62.2884i) q^{36} +(-279.651 - 61.5558i) q^{37} +(-587.294 - 197.882i) q^{38} +(-3.93395 - 72.5575i) q^{39} +(3.61919 - 2.75124i) q^{40} +(-10.3851 - 19.5885i) q^{41} +(44.6943 + 160.974i) q^{42} +(60.6091 + 57.4120i) q^{43} +(122.149 + 306.572i) q^{44} +(58.4994 - 19.7107i) q^{45} +(-650.224 + 70.7162i) q^{46} +(-456.038 - 210.986i) q^{47} +(-142.233 + 134.730i) q^{48} +(126.077 + 75.8582i) q^{49} +(308.372 + 33.5375i) q^{50} +(81.1575 - 17.8641i) q^{51} +(50.7598 - 182.820i) q^{52} +(542.505 - 326.415i) q^{53} +(-97.5066 + 45.1114i) q^{54} +(-106.954 + 268.435i) q^{55} +(0.502194 - 9.26243i) q^{56} +(262.209 + 386.729i) q^{57} -471.174 q^{58} +(447.404 - 72.1722i) q^{59} +161.188 q^{60} +(-130.486 - 192.452i) q^{61} +(10.5132 - 193.905i) q^{62} +(46.6209 - 117.010i) q^{63} +(-445.131 + 205.939i) q^{64} +(142.353 - 85.6508i) q^{65} +(134.541 - 484.572i) q^{66} +(77.5432 - 17.0685i) q^{67} +(215.715 + 23.4604i) q^{68} +(422.531 + 254.229i) q^{69} +(-277.303 + 262.675i) q^{70} +(733.922 + 339.549i) q^{71} +(5.93031 - 0.644960i) q^{72} +(1042.79 - 351.358i) q^{73} +(421.737 + 1058.48i) q^{74} +(-169.784 - 160.828i) q^{75} +(326.393 + 1175.56i) q^{76} +(276.169 + 520.909i) q^{77} +(-230.182 + 174.980i) q^{78} +(-5.73359 - 105.750i) q^{79} +(-424.477 - 143.023i) q^{80} +(79.1063 + 17.4126i) q^{81} +(-41.3238 + 77.9449i) q^{82} +(37.5855 + 229.262i) q^{83} +(212.917 - 250.665i) q^{84} +(123.000 + 144.806i) q^{85} +(53.7430 - 327.818i) q^{86} +(282.799 + 214.979i) q^{87} +(-15.6701 + 23.1117i) q^{88} +(-442.273 + 652.304i) q^{89} +(-195.548 - 148.652i) q^{90} +(54.8406 - 334.513i) q^{91} +(833.575 + 981.360i) q^{92} +(-94.7816 + 111.586i) q^{93} +(323.472 + 1973.09i) q^{94} +(-500.383 + 943.823i) q^{95} +(745.807 + 164.164i) q^{96} +(358.614 + 120.831i) q^{97} +(-31.6975 - 584.626i) q^{98} +(-301.844 + 229.456i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.23303 3.29348i −0.789496 1.16442i −0.983051 0.183331i \(-0.941312\pi\)
0.193555 0.981089i \(-0.437998\pi\)
\(3\) −0.162417 + 2.99560i −0.0312571 + 0.576504i
\(4\) −2.89945 + 7.27707i −0.362431 + 0.909634i
\(5\) −6.22504 + 2.88001i −0.556784 + 0.257596i −0.678039 0.735026i \(-0.737170\pi\)
0.121255 + 0.992621i \(0.461308\pi\)
\(6\) 10.2286 6.15436i 0.695970 0.418751i
\(7\) −3.74407 + 13.4849i −0.202161 + 0.728117i 0.791046 + 0.611756i \(0.209537\pi\)
−0.993207 + 0.116361i \(0.962877\pi\)
\(8\) −0.647313 + 0.142484i −0.0286075 + 0.00629698i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) 23.3860 + 14.0709i 0.739529 + 0.444960i
\(11\) 30.5851 28.9717i 0.838341 0.794118i −0.142323 0.989820i \(-0.545457\pi\)
0.980663 + 0.195702i \(0.0626985\pi\)
\(12\) −21.3283 9.86751i −0.513079 0.237375i
\(13\) −24.0794 + 2.61879i −0.513724 + 0.0558709i −0.361310 0.932446i \(-0.617670\pi\)
−0.152414 + 0.988317i \(0.548705\pi\)
\(14\) 52.7729 17.7813i 1.00744 0.339446i
\(15\) −7.61630 19.1155i −0.131101 0.329040i
\(16\) 47.4110 + 44.9101i 0.740797 + 0.701720i
\(17\) −7.41056 26.6904i −0.105725 0.380787i 0.891690 0.452647i \(-0.149520\pi\)
−0.997415 + 0.0718601i \(0.977106\pi\)
\(18\) 16.7747 + 31.6404i 0.219657 + 0.414318i
\(19\) 123.989 94.2539i 1.49710 1.13807i 0.542554 0.840021i \(-0.317457\pi\)
0.954551 0.298049i \(-0.0963359\pi\)
\(20\) −2.90884 53.6505i −0.0325219 0.599831i
\(21\) −39.7873 13.4059i −0.413443 0.139305i
\(22\) −163.715 36.0364i −1.58655 0.349227i
\(23\) 76.9935 145.225i 0.698011 1.31659i −0.240268 0.970707i \(-0.577235\pi\)
0.938278 0.345881i \(-0.112420\pi\)
\(24\) −0.321692 1.96223i −0.00273604 0.0166891i
\(25\) −50.4667 + 59.4139i −0.403733 + 0.475312i
\(26\) 62.3949 + 73.4570i 0.470641 + 0.554081i
\(27\) 4.36811 26.6443i 0.0311350 0.189915i
\(28\) −87.2749 66.3447i −0.589050 0.447785i
\(29\) 66.4509 98.0078i 0.425504 0.627572i −0.553151 0.833081i \(-0.686575\pi\)
0.978655 + 0.205509i \(0.0658850\pi\)
\(30\) −45.9489 + 67.7696i −0.279636 + 0.412433i
\(31\) 38.8511 + 29.5338i 0.225092 + 0.171111i 0.711642 0.702542i \(-0.247952\pi\)
−0.486550 + 0.873653i \(0.661745\pi\)
\(32\) 41.1822 251.200i 0.227502 1.38770i
\(33\) 81.8202 + 96.3262i 0.431608 + 0.508128i
\(34\) −71.3563 + 84.0071i −0.359927 + 0.423738i
\(35\) −15.5297 94.7270i −0.0750000 0.457480i
\(36\) 33.0232 62.2884i 0.152885 0.288372i
\(37\) −279.651 61.5558i −1.24255 0.273506i −0.455411 0.890282i \(-0.650508\pi\)
−0.787139 + 0.616776i \(0.788439\pi\)
\(38\) −587.294 197.882i −2.50715 0.844757i
\(39\) −3.93395 72.5575i −0.0161522 0.297910i
\(40\) 3.61919 2.75124i 0.0143061 0.0108752i
\(41\) −10.3851 19.5885i −0.0395582 0.0746147i 0.862945 0.505298i \(-0.168617\pi\)
−0.902503 + 0.430683i \(0.858273\pi\)
\(42\) 44.6943 + 160.974i 0.164202 + 0.591402i
\(43\) 60.6091 + 57.4120i 0.214949 + 0.203610i 0.787597 0.616191i \(-0.211325\pi\)
−0.572648 + 0.819802i \(0.694084\pi\)
\(44\) 122.149 + 306.572i 0.418516 + 1.05040i
\(45\) 58.4994 19.7107i 0.193790 0.0652956i
\(46\) −650.224 + 70.7162i −2.08414 + 0.226664i
\(47\) −456.038 210.986i −1.41532 0.654796i −0.444758 0.895651i \(-0.646710\pi\)
−0.970561 + 0.240854i \(0.922572\pi\)
\(48\) −142.233 + 134.730i −0.427699 + 0.405138i
\(49\) 126.077 + 75.8582i 0.367572 + 0.221161i
\(50\) 308.372 + 33.5375i 0.872208 + 0.0948584i
\(51\) 81.1575 17.8641i 0.222830 0.0490485i
\(52\) 50.7598 182.820i 0.135368 0.487550i
\(53\) 542.505 326.415i 1.40602 0.845972i 0.408256 0.912868i \(-0.366137\pi\)
0.997760 + 0.0668959i \(0.0213095\pi\)
\(54\) −97.5066 + 45.1114i −0.245722 + 0.113683i
\(55\) −106.954 + 268.435i −0.262213 + 0.658106i
\(56\) 0.502194 9.26243i 0.00119837 0.0221026i
\(57\) 262.209 + 386.729i 0.609306 + 0.898659i
\(58\) −471.174 −1.06669
\(59\) 447.404 72.1722i 0.987238 0.159255i
\(60\) 161.188 0.346821
\(61\) −130.486 192.452i −0.273885 0.403951i 0.665725 0.746197i \(-0.268122\pi\)
−0.939610 + 0.342247i \(0.888812\pi\)
\(62\) 10.5132 193.905i 0.0215352 0.397193i
\(63\) 46.6209 117.010i 0.0932329 0.233997i
\(64\) −445.131 + 205.939i −0.869396 + 0.402225i
\(65\) 142.353 85.6508i 0.271641 0.163441i
\(66\) 134.541 484.572i 0.250922 0.903738i
\(67\) 77.5432 17.0685i 0.141394 0.0311232i −0.143709 0.989620i \(-0.545903\pi\)
0.285104 + 0.958497i \(0.407972\pi\)
\(68\) 215.715 + 23.4604i 0.384695 + 0.0418381i
\(69\) 422.531 + 254.229i 0.737200 + 0.443558i
\(70\) −277.303 + 262.675i −0.473486 + 0.448510i
\(71\) 733.922 + 339.549i 1.22677 + 0.567564i 0.922859 0.385137i \(-0.125846\pi\)
0.303909 + 0.952701i \(0.401708\pi\)
\(72\) 5.93031 0.644960i 0.00970686 0.00105568i
\(73\) 1042.79 351.358i 1.67192 0.563334i 0.685568 0.728009i \(-0.259554\pi\)
0.986348 + 0.164675i \(0.0526574\pi\)
\(74\) 421.737 + 1058.48i 0.662513 + 1.66278i
\(75\) −169.784 160.828i −0.261399 0.247611i
\(76\) 326.393 + 1175.56i 0.492629 + 1.77429i
\(77\) 276.169 + 520.909i 0.408731 + 0.770949i
\(78\) −230.182 + 174.980i −0.334140 + 0.254007i
\(79\) −5.73359 105.750i −0.00816556 0.150605i −0.999773 0.0213177i \(-0.993214\pi\)
0.991607 0.129287i \(-0.0412689\pi\)
\(80\) −424.477 143.023i −0.593224 0.199881i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) −41.3238 + 77.9449i −0.0556518 + 0.104970i
\(83\) 37.5855 + 229.262i 0.0497054 + 0.303190i 0.999966 0.00826691i \(-0.00263147\pi\)
−0.950260 + 0.311456i \(0.899183\pi\)
\(84\) 212.917 250.665i 0.276561 0.325593i
\(85\) 123.000 + 144.806i 0.156955 + 0.184782i
\(86\) 53.7430 327.818i 0.0673867 0.411041i
\(87\) 282.799 + 214.979i 0.348497 + 0.264921i
\(88\) −15.6701 + 23.1117i −0.0189822 + 0.0279967i
\(89\) −442.273 + 652.304i −0.526751 + 0.776899i −0.994249 0.107095i \(-0.965845\pi\)
0.467498 + 0.883994i \(0.345156\pi\)
\(90\) −195.548 148.652i −0.229028 0.174103i
\(91\) 54.8406 334.513i 0.0631743 0.385346i
\(92\) 833.575 + 981.360i 0.944632 + 1.11211i
\(93\) −94.7816 + 111.586i −0.105682 + 0.124418i
\(94\) 323.472 + 1973.09i 0.354931 + 2.16499i
\(95\) −500.383 + 943.823i −0.540402 + 1.01931i
\(96\) 745.807 + 164.164i 0.792902 + 0.174531i
\(97\) 358.614 + 120.831i 0.375379 + 0.126480i 0.500666 0.865641i \(-0.333089\pi\)
−0.125287 + 0.992121i \(0.539985\pi\)
\(98\) −31.6975 584.626i −0.0326728 0.602614i
\(99\) −301.844 + 229.456i −0.306429 + 0.232941i
\(100\) −286.034 539.517i −0.286034 0.539517i
\(101\) −428.565 1543.55i −0.422216 1.52068i −0.802977 0.596010i \(-0.796752\pi\)
0.380761 0.924673i \(-0.375662\pi\)
\(102\) −240.062 227.399i −0.233036 0.220744i
\(103\) −649.913 1631.16i −0.621727 1.56042i −0.815118 0.579295i \(-0.803328\pi\)
0.193391 0.981122i \(-0.438051\pi\)
\(104\) 15.2137 5.12611i 0.0143445 0.00483323i
\(105\) 286.287 31.1355i 0.266083 0.0289383i
\(106\) −2286.47 1057.83i −2.09511 0.969301i
\(107\) −430.923 + 408.192i −0.389335 + 0.368798i −0.857184 0.515011i \(-0.827788\pi\)
0.467848 + 0.883809i \(0.345029\pi\)
\(108\) 181.227 + 109.041i 0.161469 + 0.0971525i
\(109\) 231.719 + 25.2010i 0.203621 + 0.0221451i 0.209361 0.977838i \(-0.432862\pi\)
−0.00574005 + 0.999984i \(0.501827\pi\)
\(110\) 1122.92 247.173i 0.973328 0.214246i
\(111\) 229.817 827.725i 0.196516 0.707785i
\(112\) −783.119 + 471.187i −0.660694 + 0.397527i
\(113\) −951.784 + 440.342i −0.792357 + 0.366583i −0.773950 0.633247i \(-0.781722\pi\)
−0.0184074 + 0.999831i \(0.505860\pi\)
\(114\) 688.163 1727.16i 0.565372 1.41898i
\(115\) −61.0376 + 1125.77i −0.0494938 + 0.912860i
\(116\) 520.539 + 767.737i 0.416645 + 0.614505i
\(117\) 217.992 0.172251
\(118\) −1236.77 1312.35i −0.964860 1.02383i
\(119\) 387.664 0.298631
\(120\) 7.65379 + 11.2885i 0.00582243 + 0.00858745i
\(121\) 24.0273 443.157i 0.0180520 0.332950i
\(122\) −342.458 + 859.505i −0.254137 + 0.637835i
\(123\) 60.3659 27.9282i 0.0442521 0.0204732i
\(124\) −327.567 + 197.090i −0.237229 + 0.142736i
\(125\) 372.415 1341.32i 0.266479 0.959770i
\(126\) −489.474 + 107.741i −0.346078 + 0.0761775i
\(127\) 776.288 + 84.4264i 0.542397 + 0.0589892i 0.375217 0.926937i \(-0.377568\pi\)
0.167180 + 0.985926i \(0.446534\pi\)
\(128\) −72.6796 43.7299i −0.0501877 0.0301970i
\(129\) −181.827 + 172.236i −0.124101 + 0.117555i
\(130\) −599.968 277.575i −0.404774 0.187268i
\(131\) −1737.06 + 188.917i −1.15853 + 0.125998i −0.667135 0.744937i \(-0.732480\pi\)
−0.491398 + 0.870935i \(0.663514\pi\)
\(132\) −938.206 + 316.118i −0.618639 + 0.208444i
\(133\) 806.783 + 2024.87i 0.525992 + 1.32014i
\(134\) −229.371 217.272i −0.147871 0.140071i
\(135\) 49.5442 + 178.442i 0.0315858 + 0.113762i
\(136\) 8.59992 + 16.2212i 0.00542233 + 0.0102276i
\(137\) −924.421 + 702.727i −0.576486 + 0.438234i −0.852356 0.522961i \(-0.824827\pi\)
0.275870 + 0.961195i \(0.411034\pi\)
\(138\) −106.230 1959.30i −0.0655283 1.20860i
\(139\) 2119.17 + 714.031i 1.29313 + 0.435707i 0.880004 0.474965i \(-0.157539\pi\)
0.413129 + 0.910673i \(0.364436\pi\)
\(140\) 734.363 + 161.645i 0.443321 + 0.0975824i
\(141\) 706.097 1331.84i 0.421731 0.795469i
\(142\) −520.577 3175.38i −0.307647 1.87656i
\(143\) −660.598 + 777.717i −0.386308 + 0.454797i
\(144\) −380.497 447.956i −0.220195 0.259234i
\(145\) −131.396 + 801.481i −0.0752542 + 0.459030i
\(146\) −3485.79 2649.82i −1.97593 1.50206i
\(147\) −247.718 + 365.356i −0.138989 + 0.204994i
\(148\) 1258.78 1856.56i 0.699129 1.03114i
\(149\) −980.379 745.265i −0.539032 0.409762i 0.299922 0.953964i \(-0.403039\pi\)
−0.838954 + 0.544202i \(0.816832\pi\)
\(150\) −150.550 + 918.313i −0.0819489 + 0.499866i
\(151\) −1176.92 1385.58i −0.634283 0.746735i 0.347304 0.937753i \(-0.387097\pi\)
−0.981587 + 0.191017i \(0.938821\pi\)
\(152\) −66.8299 + 78.6782i −0.0356620 + 0.0419845i
\(153\) 40.3324 + 246.017i 0.0213116 + 0.129995i
\(154\) 1098.91 2072.76i 0.575017 1.08460i
\(155\) −326.907 71.9577i −0.169405 0.0372889i
\(156\) 539.412 + 181.749i 0.276843 + 0.0932794i
\(157\) 31.1226 + 574.022i 0.0158207 + 0.291796i 0.995728 + 0.0923401i \(0.0294347\pi\)
−0.979907 + 0.199456i \(0.936083\pi\)
\(158\) −335.481 + 255.026i −0.168921 + 0.128410i
\(159\) 889.696 + 1678.14i 0.443758 + 0.837016i
\(160\) 467.098 + 1682.34i 0.230796 + 0.831252i
\(161\) 1670.08 + 1581.98i 0.817519 + 0.774395i
\(162\) −119.299 299.418i −0.0578581 0.145213i
\(163\) −862.518 + 290.616i −0.414464 + 0.139649i −0.518805 0.854892i \(-0.673623\pi\)
0.104341 + 0.994542i \(0.466727\pi\)
\(164\) 172.658 18.7777i 0.0822092 0.00894079i
\(165\) −786.754 363.991i −0.371204 0.171737i
\(166\) 671.138 635.736i 0.313798 0.297245i
\(167\) 681.876 + 410.271i 0.315959 + 0.190106i 0.664695 0.747115i \(-0.268561\pi\)
−0.348736 + 0.937221i \(0.613389\pi\)
\(168\) 27.6650 + 3.00875i 0.0127048 + 0.00138172i
\(169\) −1572.68 + 346.173i −0.715830 + 0.157566i
\(170\) 202.254 728.454i 0.0912482 0.328646i
\(171\) −1201.07 + 722.662i −0.537125 + 0.323178i
\(172\) −593.525 + 274.594i −0.263115 + 0.121730i
\(173\) −240.721 + 604.164i −0.105790 + 0.265513i −0.972337 0.233583i \(-0.924955\pi\)
0.866547 + 0.499096i \(0.166334\pi\)
\(174\) 76.5265 1411.45i 0.0333417 0.614952i
\(175\) −612.241 902.988i −0.264463 0.390054i
\(176\) 2751.19 1.17829
\(177\) 143.533 + 1351.96i 0.0609527 + 0.574124i
\(178\) 3135.96 1.32051
\(179\) −74.8675 110.421i −0.0312618 0.0461077i 0.811737 0.584023i \(-0.198522\pi\)
−0.842999 + 0.537916i \(0.819212\pi\)
\(180\) −26.1796 + 482.854i −0.0108406 + 0.199944i
\(181\) 1503.42 3773.29i 0.617393 1.54954i −0.203875 0.978997i \(-0.565354\pi\)
0.821268 0.570542i \(-0.193267\pi\)
\(182\) −1224.17 + 566.362i −0.498581 + 0.230668i
\(183\) 597.703 359.626i 0.241440 0.145270i
\(184\) −29.1466 + 104.976i −0.0116778 + 0.0420596i
\(185\) 1918.12 422.210i 0.762286 0.167792i
\(186\) 579.155 + 62.9869i 0.228310 + 0.0248302i
\(187\) −999.920 601.632i −0.391024 0.235271i
\(188\) 2857.62 2706.88i 1.10858 1.05010i
\(189\) 342.942 + 158.662i 0.131986 + 0.0610632i
\(190\) 4225.83 459.587i 1.61355 0.175484i
\(191\) 551.057 185.673i 0.208760 0.0703393i −0.212979 0.977057i \(-0.568317\pi\)
0.421739 + 0.906717i \(0.361420\pi\)
\(192\) −544.616 1366.88i −0.204710 0.513782i
\(193\) 2649.51 + 2509.75i 0.988165 + 0.936039i 0.997955 0.0639128i \(-0.0203579\pi\)
−0.00979082 + 0.999952i \(0.503117\pi\)
\(194\) −402.842 1450.91i −0.149084 0.536954i
\(195\) 233.455 + 440.343i 0.0857337 + 0.161711i
\(196\) −917.580 + 697.526i −0.334395 + 0.254200i
\(197\) −248.513 4583.55i −0.0898772 1.65769i −0.601793 0.798652i \(-0.705547\pi\)
0.511916 0.859036i \(-0.328936\pi\)
\(198\) 1429.73 + 481.733i 0.513165 + 0.172906i
\(199\) 965.463 + 212.515i 0.343919 + 0.0757023i 0.383571 0.923511i \(-0.374694\pi\)
−0.0396523 + 0.999214i \(0.512625\pi\)
\(200\) 24.2022 45.6501i 0.00855676 0.0161398i
\(201\) 38.5362 + 235.061i 0.0135231 + 0.0824871i
\(202\) −4126.65 + 4858.27i −1.43738 + 1.69221i
\(203\) 1072.83 + 1263.03i 0.370926 + 0.436687i
\(204\) −105.314 + 642.385i −0.0361443 + 0.220470i
\(205\) 121.063 + 92.0296i 0.0412458 + 0.0313543i
\(206\) −3920.91 + 5782.91i −1.32613 + 1.95589i
\(207\) −830.193 + 1224.44i −0.278756 + 0.411134i
\(208\) −1259.24 957.247i −0.419771 0.319102i
\(209\) 1061.51 6474.93i 0.351322 2.14297i
\(210\) −741.831 873.351i −0.243768 0.286986i
\(211\) 404.300 475.978i 0.131911 0.155297i −0.692241 0.721666i \(-0.743376\pi\)
0.824152 + 0.566369i \(0.191652\pi\)
\(212\) 802.375 + 4894.27i 0.259940 + 1.58557i
\(213\) −1136.35 + 2143.39i −0.365548 + 0.689496i
\(214\) 2306.64 + 507.729i 0.736815 + 0.162185i
\(215\) −542.641 182.837i −0.172129 0.0579971i
\(216\) 0.968861 + 17.8696i 0.000305197 + 0.00562904i
\(217\) −543.722 + 413.327i −0.170093 + 0.129302i
\(218\) −434.438 819.437i −0.134972 0.254584i
\(219\) 883.162 + 3180.86i 0.272505 + 0.981474i
\(220\) −1643.31 1556.63i −0.503601 0.477036i
\(221\) 248.338 + 623.282i 0.0755884 + 0.189713i
\(222\) −3239.28 + 1091.44i −0.979308 + 0.329967i
\(223\) −2452.58 + 266.734i −0.736488 + 0.0800979i −0.468672 0.883372i \(-0.655267\pi\)
−0.267816 + 0.963470i \(0.586302\pi\)
\(224\) 3233.22 + 1495.85i 0.964414 + 0.446186i
\(225\) 509.351 482.483i 0.150919 0.142958i
\(226\) 3575.62 + 2151.38i 1.05242 + 0.633220i
\(227\) −3638.90 395.755i −1.06398 0.115714i −0.440652 0.897678i \(-0.645253\pi\)
−0.623324 + 0.781964i \(0.714218\pi\)
\(228\) −3574.52 + 786.811i −1.03828 + 0.228543i
\(229\) −61.7864 + 222.535i −0.0178295 + 0.0642162i −0.971930 0.235272i \(-0.924402\pi\)
0.954100 + 0.299488i \(0.0968158\pi\)
\(230\) 3844.01 2312.86i 1.10203 0.663068i
\(231\) −1605.29 + 742.686i −0.457231 + 0.211537i
\(232\) −29.0500 + 72.9099i −0.00822079 + 0.0206326i
\(233\) 4.70350 86.7509i 0.00132247 0.0243916i −0.997798 0.0663307i \(-0.978871\pi\)
0.999120 + 0.0419391i \(0.0133535\pi\)
\(234\) −486.784 717.952i −0.135992 0.200573i
\(235\) 3446.49 0.956700
\(236\) −772.023 + 3465.05i −0.212942 + 0.955744i
\(237\) 317.715 0.0870794
\(238\) −865.666 1276.76i −0.235768 0.347732i
\(239\) −138.490 + 2554.29i −0.0374818 + 0.691312i 0.918057 + 0.396448i \(0.129757\pi\)
−0.955539 + 0.294864i \(0.904726\pi\)
\(240\) 497.381 1248.33i 0.133774 0.335748i
\(241\) 2603.28 1204.40i 0.695817 0.321919i −0.0399047 0.999203i \(-0.512705\pi\)
0.735721 + 0.677284i \(0.236843\pi\)
\(242\) −1513.18 + 910.450i −0.401946 + 0.241843i
\(243\) −65.0094 + 234.143i −0.0171620 + 0.0618118i
\(244\) 1778.83 391.549i 0.466712 0.102731i
\(245\) −1003.31 109.116i −0.261628 0.0284538i
\(246\) −226.780 136.449i −0.0587763 0.0353645i
\(247\) −2738.74 + 2594.27i −0.705514 + 0.668298i
\(248\) −29.3569 13.5820i −0.00751680 0.00347764i
\(249\) −692.881 + 75.3553i −0.176343 + 0.0191785i
\(250\) −5249.22 + 1768.67i −1.32796 + 0.447441i
\(251\) 893.139 + 2241.61i 0.224599 + 0.563702i 0.997488 0.0708403i \(-0.0225681\pi\)
−0.772888 + 0.634542i \(0.781189\pi\)
\(252\) 716.312 + 678.527i 0.179061 + 0.169616i
\(253\) −1852.57 6672.35i −0.460356 1.65805i
\(254\) −1455.42 2745.21i −0.359532 0.678149i
\(255\) −453.759 + 344.939i −0.111433 + 0.0847094i
\(256\) 230.697 + 4254.96i 0.0563225 + 1.03881i
\(257\) −5765.53 1942.63i −1.39939 0.471510i −0.484352 0.874873i \(-0.660945\pi\)
−0.915040 + 0.403363i \(0.867841\pi\)
\(258\) 973.282 + 214.236i 0.234860 + 0.0516966i
\(259\) 1877.11 3540.60i 0.450339 0.849429i
\(260\) 210.542 + 1284.25i 0.0502203 + 0.306330i
\(261\) −689.921 + 812.238i −0.163621 + 0.192629i
\(262\) 4501.11 + 5299.12i 1.06137 + 1.24954i
\(263\) 608.402 3711.09i 0.142645 0.870097i −0.814431 0.580260i \(-0.802951\pi\)
0.957076 0.289836i \(-0.0936009\pi\)
\(264\) −66.6882 50.6951i −0.0155469 0.0118184i
\(265\) −2437.04 + 3594.36i −0.564929 + 0.833207i
\(266\) 4867.30 7178.72i 1.12193 1.65472i
\(267\) −1882.21 1430.82i −0.431421 0.327957i
\(268\) −100.624 + 613.777i −0.0229349 + 0.139897i
\(269\) −346.995 408.514i −0.0786492 0.0925930i 0.721430 0.692487i \(-0.243485\pi\)
−0.800079 + 0.599894i \(0.795209\pi\)
\(270\) 477.061 561.640i 0.107530 0.126594i
\(271\) −1145.30 6986.00i −0.256722 1.56594i −0.729016 0.684497i \(-0.760022\pi\)
0.472294 0.881441i \(-0.343426\pi\)
\(272\) 847.327 1598.23i 0.188885 0.356275i
\(273\) 993.160 + 218.611i 0.220179 + 0.0484650i
\(274\) 4378.68 + 1475.35i 0.965422 + 0.325288i
\(275\) 177.798 + 3279.29i 0.0389877 + 0.719085i
\(276\) −3075.15 + 2337.67i −0.670660 + 0.509823i
\(277\) 4094.20 + 7722.48i 0.888074 + 1.67509i 0.725313 + 0.688420i \(0.241695\pi\)
0.162761 + 0.986665i \(0.447960\pi\)
\(278\) −2380.53 8573.89i −0.513578 1.84974i
\(279\) −318.872 302.051i −0.0684242 0.0648148i
\(280\) 23.5497 + 59.1053i 0.00502630 + 0.0126151i
\(281\) −7269.35 + 2449.33i −1.54325 + 0.519981i −0.956985 0.290138i \(-0.906299\pi\)
−0.586265 + 0.810119i \(0.699402\pi\)
\(282\) −5963.12 + 648.529i −1.25922 + 0.136948i
\(283\) −919.798 425.544i −0.193202 0.0893850i 0.320903 0.947112i \(-0.396014\pi\)
−0.514105 + 0.857727i \(0.671876\pi\)
\(284\) −4598.89 + 4356.30i −0.960895 + 0.910208i
\(285\) −2746.05 1652.24i −0.570743 0.343404i
\(286\) 4036.53 + 438.999i 0.834563 + 0.0907642i
\(287\) 303.031 66.7022i 0.0623253 0.0137188i
\(288\) −612.903 + 2207.48i −0.125401 + 0.451655i
\(289\) 3552.28 2137.33i 0.723036 0.435036i
\(290\) 2933.07 1356.98i 0.593917 0.274775i
\(291\) −420.207 + 1054.64i −0.0846493 + 0.212454i
\(292\) −466.671 + 8607.24i −0.0935269 + 1.72500i
\(293\) −412.976 609.094i −0.0823423 0.121446i 0.784287 0.620398i \(-0.213029\pi\)
−0.866630 + 0.498952i \(0.833718\pi\)
\(294\) 1756.45 0.348430
\(295\) −2577.25 + 1737.80i −0.508655 + 0.342979i
\(296\) 189.792 0.0372684
\(297\) −638.333 941.470i −0.124713 0.183938i
\(298\) −265.294 + 4893.06i −0.0515707 + 0.951165i
\(299\) −1473.64 + 3698.56i −0.285026 + 0.715361i
\(300\) 1662.64 769.217i 0.319974 0.148036i
\(301\) −1001.12 + 602.354i −0.191706 + 0.115346i
\(302\) −1935.27 + 6970.22i −0.368750 + 1.32812i
\(303\) 4693.47 1033.11i 0.889877 0.195877i
\(304\) 10111.4 + 1099.68i 1.90766 + 0.207470i
\(305\) 1366.54 + 822.222i 0.256551 + 0.154362i
\(306\) 720.187 682.197i 0.134544 0.127446i
\(307\) 3467.03 + 1604.02i 0.644540 + 0.298196i 0.714796 0.699333i \(-0.246519\pi\)
−0.0702557 + 0.997529i \(0.522382\pi\)
\(308\) −4591.43 + 499.348i −0.849419 + 0.0923799i
\(309\) 4991.86 1681.95i 0.919019 0.309654i
\(310\) 493.003 + 1237.35i 0.0903249 + 0.226698i
\(311\) 1011.27 + 957.929i 0.184386 + 0.174660i 0.774325 0.632788i \(-0.218090\pi\)
−0.589939 + 0.807448i \(0.700848\pi\)
\(312\) 12.8848 + 46.4069i 0.00233801 + 0.00842074i
\(313\) −3760.70 7093.43i −0.679128 1.28097i −0.948146 0.317836i \(-0.897044\pi\)
0.269017 0.963135i \(-0.413301\pi\)
\(314\) 1821.03 1384.31i 0.327283 0.248794i
\(315\) 46.7719 + 862.657i 0.00836603 + 0.154302i
\(316\) 786.173 + 264.893i 0.139955 + 0.0471562i
\(317\) 3938.88 + 867.013i 0.697885 + 0.153616i 0.549723 0.835347i \(-0.314733\pi\)
0.148162 + 0.988963i \(0.452664\pi\)
\(318\) 3540.21 6677.54i 0.624293 1.17754i
\(319\) −807.048 4922.77i −0.141649 0.864020i
\(320\) 2177.85 2563.96i 0.380454 0.447906i
\(321\) −1152.79 1357.17i −0.200444 0.235981i
\(322\) 1480.88 9032.98i 0.256293 1.56332i
\(323\) −3434.50 2610.84i −0.591644 0.449756i
\(324\) −356.078 + 525.175i −0.0610558 + 0.0900506i
\(325\) 1059.61 1562.81i 0.180851 0.266736i
\(326\) 2883.17 + 2191.73i 0.489828 + 0.372358i
\(327\) −113.127 + 690.046i −0.0191313 + 0.116696i
\(328\) 9.51348 + 11.2001i 0.00160151 + 0.00188544i
\(329\) 4552.56 5359.69i 0.762890 0.898144i
\(330\) 558.051 + 3403.96i 0.0930900 + 0.567824i
\(331\) −4777.81 + 9011.91i −0.793391 + 1.49649i 0.0731132 + 0.997324i \(0.476707\pi\)
−0.866504 + 0.499170i \(0.833638\pi\)
\(332\) −1777.33 391.220i −0.293806 0.0646717i
\(333\) 2442.21 + 822.875i 0.401898 + 0.135415i
\(334\) −171.433 3161.89i −0.0280850 0.517997i
\(335\) −433.552 + 329.577i −0.0707088 + 0.0537515i
\(336\) −1284.30 2422.44i −0.208524 0.393318i
\(337\) −426.560 1536.33i −0.0689501 0.248336i 0.921041 0.389466i \(-0.127340\pi\)
−0.989991 + 0.141130i \(0.954927\pi\)
\(338\) 4651.95 + 4406.56i 0.748618 + 0.709128i
\(339\) −1164.50 2922.68i −0.186570 0.468255i
\(340\) −1410.40 + 475.218i −0.224969 + 0.0758010i
\(341\) 2043.91 222.289i 0.324586 0.0353009i
\(342\) 5062.11 + 2341.98i 0.800373 + 0.370292i
\(343\) −4979.97 + 4717.28i −0.783946 + 0.742593i
\(344\) −47.4134 28.5277i −0.00743127 0.00447125i
\(345\) −3362.45 365.689i −0.524720 0.0570667i
\(346\) 2527.34 556.309i 0.392689 0.0864374i
\(347\) −246.977 + 889.529i −0.0382086 + 0.137615i −0.980194 0.198038i \(-0.936543\pi\)
0.941986 + 0.335653i \(0.108957\pi\)
\(348\) −2384.38 + 1434.63i −0.367288 + 0.220990i
\(349\) 10872.1 5029.95i 1.66753 0.771481i 0.667900 0.744251i \(-0.267193\pi\)
0.999629 0.0272300i \(-0.00866863\pi\)
\(350\) −1606.82 + 4032.80i −0.245394 + 0.615893i
\(351\) −35.4056 + 653.017i −0.00538407 + 0.0993034i
\(352\) −6018.14 8876.10i −0.911273 1.34403i
\(353\) 12150.1 1.83196 0.915981 0.401222i \(-0.131414\pi\)
0.915981 + 0.401222i \(0.131414\pi\)
\(354\) 4132.15 3491.71i 0.620399 0.524243i
\(355\) −5546.60 −0.829247
\(356\) −3464.51 5109.77i −0.515783 0.760723i
\(357\) −62.9631 + 1161.29i −0.00933434 + 0.172162i
\(358\) −196.488 + 493.148i −0.0290076 + 0.0728037i
\(359\) −754.101 + 348.884i −0.110863 + 0.0512908i −0.474537 0.880236i \(-0.657384\pi\)
0.363674 + 0.931526i \(0.381522\pi\)
\(360\) −35.0589 + 21.0942i −0.00513269 + 0.00308823i
\(361\) 4654.47 16763.9i 0.678593 2.44407i
\(362\) −15784.4 + 3474.42i −2.29174 + 0.504451i
\(363\) 1323.62 + 143.952i 0.191383 + 0.0208141i
\(364\) 2275.27 + 1368.98i 0.327628 + 0.197127i
\(365\) −5479.52 + 5190.48i −0.785784 + 0.744334i
\(366\) −2519.11 1165.46i −0.359771 0.166448i
\(367\) −2358.41 + 256.493i −0.335444 + 0.0364818i −0.274291 0.961647i \(-0.588443\pi\)
−0.0611530 + 0.998128i \(0.519478\pi\)
\(368\) 10172.4 3427.48i 1.44096 0.485516i
\(369\) 73.8574 + 185.368i 0.0104197 + 0.0261514i
\(370\) −5673.76 5374.47i −0.797202 0.755150i
\(371\) 2370.50 + 8537.75i 0.331725 + 1.19477i
\(372\) −537.202 1013.27i −0.0748726 0.141225i
\(373\) 4321.51 3285.12i 0.599890 0.456025i −0.260631 0.965438i \(-0.583931\pi\)
0.860522 + 0.509414i \(0.170138\pi\)
\(374\) 251.393 + 4636.68i 0.0347573 + 0.641061i
\(375\) 3957.57 + 1333.46i 0.544981 + 0.183626i
\(376\) 325.261 + 71.5955i 0.0446119 + 0.00981983i
\(377\) −1343.43 + 2533.99i −0.183529 + 0.346172i
\(378\) −243.251 1483.77i −0.0330992 0.201896i
\(379\) 5882.82 6925.79i 0.797309 0.938664i −0.201861 0.979414i \(-0.564699\pi\)
0.999169 + 0.0407500i \(0.0129747\pi\)
\(380\) −5417.43 6377.89i −0.731338 0.860997i
\(381\) −378.990 + 2311.73i −0.0509612 + 0.310850i
\(382\) −1842.04 1400.28i −0.246719 0.187551i
\(383\) −3953.68 + 5831.24i −0.527477 + 0.777970i −0.994327 0.106367i \(-0.966078\pi\)
0.466850 + 0.884336i \(0.345389\pi\)
\(384\) 142.802 210.617i 0.0189774 0.0279895i
\(385\) −3219.38 2447.31i −0.426169 0.323965i
\(386\) 2349.36 14330.4i 0.309790 1.88964i
\(387\) −486.418 572.656i −0.0638916 0.0752190i
\(388\) −1919.08 + 2259.32i −0.251099 + 0.295617i
\(389\) 1323.86 + 8075.19i 0.172551 + 1.05251i 0.921069 + 0.389400i \(0.127318\pi\)
−0.748518 + 0.663115i \(0.769234\pi\)
\(390\) 928.947 1752.18i 0.120613 0.227500i
\(391\) −4446.68 978.789i −0.575137 0.126597i
\(392\) −92.4200 31.1399i −0.0119079 0.00401225i
\(393\) −283.792 5234.23i −0.0364259 0.671837i
\(394\) −14540.9 + 11053.7i −1.85929 + 1.41339i
\(395\) 340.252 + 641.784i 0.0433416 + 0.0817510i
\(396\) −794.584 2861.83i −0.100832 0.363163i
\(397\) −2815.50 2666.98i −0.355934 0.337158i 0.488750 0.872424i \(-0.337453\pi\)
−0.844684 + 0.535265i \(0.820212\pi\)
\(398\) −1456.00 3654.28i −0.183374 0.460233i
\(399\) −6196.74 + 2087.93i −0.777506 + 0.261972i
\(400\) −5060.96 + 550.413i −0.632620 + 0.0688016i
\(401\) 1110.75 + 513.889i 0.138325 + 0.0639960i 0.487831 0.872938i \(-0.337788\pi\)
−0.349506 + 0.936934i \(0.613650\pi\)
\(402\) 688.114 651.816i 0.0853732 0.0808698i
\(403\) −1012.85 609.413i −0.125195 0.0753276i
\(404\) 12475.1 + 1356.75i 1.53629 + 0.167082i
\(405\) −542.588 + 119.433i −0.0665714 + 0.0146535i
\(406\) 1764.11 6353.73i 0.215643 0.776676i
\(407\) −10336.5 + 6219.28i −1.25888 + 0.757440i
\(408\) −49.9889 + 23.1273i −0.00606573 + 0.00280631i
\(409\) −358.097 + 898.755i −0.0432928 + 0.108657i −0.949033 0.315176i \(-0.897936\pi\)
0.905740 + 0.423833i \(0.139316\pi\)
\(410\) 32.7600 604.223i 0.00394610 0.0727815i
\(411\) −1954.95 2883.33i −0.234624 0.346044i
\(412\) 13754.5 1.64474
\(413\) −701.874 + 6303.42i −0.0836246 + 0.751019i
\(414\) 5886.53 0.698809
\(415\) −894.247 1318.92i −0.105776 0.156007i
\(416\) −333.801 + 6156.59i −0.0393411 + 0.725605i
\(417\) −2483.14 + 6232.21i −0.291606 + 0.731877i
\(418\) −23695.4 + 10962.7i −2.77268 + 1.28278i
\(419\) 2030.27 1221.58i 0.236719 0.142429i −0.392252 0.919858i \(-0.628304\pi\)
0.628971 + 0.777429i \(0.283476\pi\)
\(420\) −603.498 + 2173.60i −0.0701136 + 0.252526i
\(421\) −14681.9 + 3231.74i −1.69965 + 0.374122i −0.955754 0.294169i \(-0.904957\pi\)
−0.743900 + 0.668291i \(0.767026\pi\)
\(422\) −2470.44 268.676i −0.284974 0.0309928i
\(423\) 3874.98 + 2331.50i 0.445409 + 0.267994i
\(424\) −304.662 + 288.591i −0.0348955 + 0.0330547i
\(425\) 1959.77 + 906.686i 0.223677 + 0.103484i
\(426\) 9596.72 1043.71i 1.09146 0.118704i
\(427\) 3083.75 1039.04i 0.349492 0.117758i
\(428\) −1721.00 4319.39i −0.194364 0.487817i
\(429\) −2222.44 2105.20i −0.250117 0.236923i
\(430\) 609.566 + 2195.46i 0.0683625 + 0.246219i
\(431\) 1310.52 + 2471.90i 0.146463 + 0.276258i 0.945879 0.324519i \(-0.105203\pi\)
−0.799416 + 0.600778i \(0.794858\pi\)
\(432\) 1403.70 1067.06i 0.156332 0.118840i
\(433\) −561.236 10351.4i −0.0622893 1.14886i −0.847906 0.530146i \(-0.822137\pi\)
0.785617 0.618713i \(-0.212346\pi\)
\(434\) 2575.43 + 867.764i 0.284850 + 0.0959770i
\(435\) −2379.58 523.784i −0.262280 0.0577323i
\(436\) −855.248 + 1613.17i −0.0939426 + 0.177195i
\(437\) −4141.69 25263.2i −0.453373 2.76545i
\(438\) 8503.97 10011.6i 0.927706 1.09218i
\(439\) −2097.02 2468.80i −0.227985 0.268404i 0.636261 0.771474i \(-0.280480\pi\)
−0.864246 + 0.503069i \(0.832204\pi\)
\(440\) 30.9851 189.001i 0.00335718 0.0204779i
\(441\) −1054.23 801.403i −0.113835 0.0865353i
\(442\) 1498.22 2209.71i 0.161228 0.237794i
\(443\) −4333.85 + 6391.96i −0.464803 + 0.685533i −0.985781 0.168037i \(-0.946257\pi\)
0.520978 + 0.853570i \(0.325567\pi\)
\(444\) 5357.07 + 4072.34i 0.572602 + 0.435281i
\(445\) 874.524 5334.36i 0.0931605 0.568254i
\(446\) 6355.17 + 7481.88i 0.674722 + 0.794344i
\(447\) 2391.75 2815.78i 0.253078 0.297946i
\(448\) −1110.48 6773.60i −0.117109 0.714336i
\(449\) 2894.22 5459.09i 0.304202 0.573787i −0.683534 0.729919i \(-0.739558\pi\)
0.987736 + 0.156132i \(0.0499026\pi\)
\(450\) −2726.45 600.136i −0.285613 0.0628682i
\(451\) −885.142 298.239i −0.0924162 0.0311386i
\(452\) −444.751 8202.95i −0.0462817 0.853616i
\(453\) 4341.80 3300.55i 0.450321 0.342325i
\(454\) 6822.38 + 12868.4i 0.705265 + 1.33027i
\(455\) 622.015 + 2240.30i 0.0640891 + 0.230828i
\(456\) −224.834 212.974i −0.0230895 0.0218716i
\(457\) 3602.36 + 9041.24i 0.368734 + 0.925452i 0.989899 + 0.141773i \(0.0452802\pi\)
−0.621166 + 0.783679i \(0.713341\pi\)
\(458\) 870.884 293.435i 0.0888510 0.0299374i
\(459\) −743.518 + 80.8625i −0.0756089 + 0.00822296i
\(460\) −8015.36 3708.30i −0.812430 0.375870i
\(461\) −10711.3 + 10146.3i −1.08216 + 1.02507i −0.0825634 + 0.996586i \(0.526311\pi\)
−0.999594 + 0.0284883i \(0.990931\pi\)
\(462\) 6030.68 + 3628.54i 0.607301 + 0.365401i
\(463\) −4438.39 482.703i −0.445506 0.0484517i −0.117383 0.993087i \(-0.537451\pi\)
−0.328123 + 0.944635i \(0.606416\pi\)
\(464\) 7552.05 1662.33i 0.755592 0.166318i
\(465\) 268.652 967.596i 0.0267923 0.0964972i
\(466\) −296.215 + 178.227i −0.0294461 + 0.0177172i
\(467\) 5284.39 2444.82i 0.523624 0.242254i −0.140227 0.990119i \(-0.544783\pi\)
0.663851 + 0.747865i \(0.268921\pi\)
\(468\) −632.058 + 1586.34i −0.0624292 + 0.156686i
\(469\) −60.1591 + 1109.57i −0.00592300 + 0.109243i
\(470\) −7696.14 11351.0i −0.755311 1.11400i
\(471\) −1724.60 −0.168716
\(472\) −279.327 + 110.466i −0.0272395 + 0.0107725i
\(473\) 3517.06 0.341891
\(474\) −709.469 1046.39i −0.0687489 0.101397i
\(475\) −657.309 + 12123.3i −0.0634935 + 1.17107i
\(476\) −1124.01 + 2821.06i −0.108233 + 0.271645i
\(477\) −5171.55 + 2392.61i −0.496413 + 0.229665i
\(478\) 8721.76 5247.71i 0.834569 0.502144i
\(479\) 3142.60 11318.6i 0.299769 1.07967i −0.648243 0.761434i \(-0.724496\pi\)
0.948012 0.318236i \(-0.103090\pi\)
\(480\) −5115.47 + 1126.00i −0.486434 + 0.107072i
\(481\) 6895.02 + 749.878i 0.653609 + 0.0710842i
\(482\) −9779.88 5884.36i −0.924194 0.556069i
\(483\) −5010.23 + 4745.95i −0.471995 + 0.447097i
\(484\) 3155.22 + 1459.76i 0.296320 + 0.137092i
\(485\) −2580.38 + 280.633i −0.241586 + 0.0262740i
\(486\) 916.312 308.741i 0.0855242 0.0288164i
\(487\) 2940.31 + 7379.63i 0.273590 + 0.686659i 1.00000 0.000602892i \(-0.000191906\pi\)
−0.726410 + 0.687262i \(0.758813\pi\)
\(488\) 111.887 + 105.985i 0.0103788 + 0.00983135i
\(489\) −730.482 2630.96i −0.0675533 0.243305i
\(490\) 1881.05 + 3548.03i 0.173422 + 0.327110i
\(491\) 13552.2 10302.1i 1.24563 0.946903i 0.245881 0.969300i \(-0.420923\pi\)
0.999749 + 0.0223971i \(0.00712980\pi\)
\(492\) 28.2079 + 520.264i 0.00258477 + 0.0476734i
\(493\) −3108.31 1047.31i −0.283958 0.0956765i
\(494\) 14659.9 + 3226.88i 1.33518 + 0.293896i
\(495\) 1218.15 2297.68i 0.110610 0.208633i
\(496\) 515.602 + 3145.04i 0.0466759 + 0.284710i
\(497\) −7326.64 + 8625.59i −0.661257 + 0.778492i
\(498\) 1795.41 + 2113.72i 0.161554 + 0.190197i
\(499\) −1321.39 + 8060.12i −0.118544 + 0.723087i 0.858940 + 0.512077i \(0.171124\pi\)
−0.977484 + 0.211010i \(0.932325\pi\)
\(500\) 8681.08 + 6599.18i 0.776459 + 0.590249i
\(501\) −1339.76 + 1975.99i −0.119473 + 0.176209i
\(502\) 5388.28 7947.12i 0.479065 0.706568i
\(503\) 14513.5 + 11032.9i 1.28653 + 0.977996i 0.999800 + 0.0199855i \(0.00636202\pi\)
0.286732 + 0.958011i \(0.407431\pi\)
\(504\) −13.5063 + 82.3845i −0.00119368 + 0.00728115i
\(505\) 7113.27 + 8374.39i 0.626805 + 0.737932i
\(506\) −17838.4 + 21001.0i −1.56722 + 1.84507i
\(507\) −781.565 4767.34i −0.0684626 0.417603i
\(508\) −2865.18 + 5404.31i −0.250240 + 0.472003i
\(509\) −623.356 137.211i −0.0542824 0.0119485i 0.187746 0.982218i \(-0.439882\pi\)
−0.242029 + 0.970269i \(0.577813\pi\)
\(510\) 2149.31 + 724.186i 0.186614 + 0.0628774i
\(511\) 833.744 + 15377.5i 0.0721774 + 1.33123i
\(512\) 12958.2 9850.60i 1.11851 0.850272i
\(513\) −1969.73 3715.31i −0.169524 0.319756i
\(514\) 6476.60 + 23326.6i 0.555779 + 2.00174i
\(515\) 8743.49 + 8282.27i 0.748124 + 0.708661i
\(516\) −726.175 1822.56i −0.0619536 0.155492i
\(517\) −20060.6 + 6759.20i −1.70651 + 0.574989i
\(518\) −15852.5 + 1724.07i −1.34463 + 0.146238i
\(519\) −1770.74 819.230i −0.149762 0.0692875i
\(520\) −79.9429 + 75.7259i −0.00674178 + 0.00638616i
\(521\) −3629.20 2183.62i −0.305179 0.183620i 0.354724 0.934971i \(-0.384575\pi\)
−0.659903 + 0.751351i \(0.729403\pi\)
\(522\) 4215.70 + 458.485i 0.353480 + 0.0384432i
\(523\) −1779.18 + 391.627i −0.148753 + 0.0327431i −0.288723 0.957413i \(-0.593231\pi\)
0.139969 + 0.990156i \(0.455300\pi\)
\(524\) 3661.77 13188.5i 0.305277 1.09951i
\(525\) 2804.43 1687.37i 0.233134 0.140272i
\(526\) −13581.0 + 6283.22i −1.12578 + 0.520839i
\(527\) 500.362 1255.81i 0.0413589 0.103803i
\(528\) −446.840 + 8241.47i −0.0368299 + 0.679288i
\(529\) −8334.36 12292.3i −0.684997 1.01030i
\(530\) 17279.9 1.41621
\(531\) −4073.26 + 210.387i −0.332890 + 0.0171940i
\(532\) −17074.4 −1.39148
\(533\) 301.366 + 444.481i 0.0244908 + 0.0361212i
\(534\) −509.332 + 9394.07i −0.0412752 + 0.761276i
\(535\) 1506.91 3782.07i 0.121775 0.305632i
\(536\) −47.7627 + 22.0974i −0.00384895 + 0.00178071i
\(537\) 342.938 206.339i 0.0275584 0.0165813i
\(538\) −570.580 + 2055.04i −0.0457239 + 0.164683i
\(539\) 6053.82 1332.55i 0.483778 0.106488i
\(540\) −1442.19 156.847i −0.114929 0.0124993i
\(541\) 6880.00 + 4139.56i 0.546754 + 0.328971i 0.761988 0.647591i \(-0.224224\pi\)
−0.215233 + 0.976563i \(0.569051\pi\)
\(542\) −20450.7 + 19372.0i −1.62073 + 1.53524i
\(543\) 11059.1 + 5116.48i 0.874017 + 0.404363i
\(544\) −7009.82 + 762.364i −0.552470 + 0.0600847i
\(545\) −1515.04 + 510.477i −0.119077 + 0.0401219i
\(546\) −1497.77 3759.12i −0.117397 0.294643i
\(547\) 8757.02 + 8295.09i 0.684503 + 0.648396i 0.948738 0.316062i \(-0.102361\pi\)
−0.264235 + 0.964458i \(0.585120\pi\)
\(548\) −2433.48 8764.60i −0.189695 0.683221i
\(549\) 980.219 + 1848.89i 0.0762017 + 0.143732i
\(550\) 10403.2 7908.33i 0.806536 0.613113i
\(551\) −998.439 18415.1i −0.0771959 1.42379i
\(552\) −309.733 104.361i −0.0238825 0.00804695i
\(553\) 1447.49 + 318.617i 0.111309 + 0.0245009i
\(554\) 16291.3 30728.7i 1.24937 2.35656i
\(555\) 953.237 + 5814.49i 0.0729057 + 0.444705i
\(556\) −11340.5 + 13351.0i −0.865006 + 1.01836i
\(557\) 7661.45 + 9019.76i 0.582812 + 0.686139i 0.971990 0.235024i \(-0.0755167\pi\)
−0.389178 + 0.921163i \(0.627241\pi\)
\(558\) −282.748 + 1724.69i −0.0214510 + 0.130846i
\(559\) −1609.78 1223.72i −0.121800 0.0925902i
\(560\) 3517.92 5188.54i 0.265463 0.391529i
\(561\) 1964.65 2897.65i 0.147857 0.218073i
\(562\) 24299.5 + 18472.0i 1.82387 + 1.38647i
\(563\) −3932.85 + 23989.4i −0.294405 + 1.79579i 0.262199 + 0.965014i \(0.415552\pi\)
−0.556604 + 0.830778i \(0.687896\pi\)
\(564\) 7644.61 + 8999.93i 0.570738 + 0.671924i
\(565\) 4656.70 5482.29i 0.346741 0.408216i
\(566\) 652.420 + 3979.59i 0.0484510 + 0.295538i
\(567\) −530.987 + 1001.55i −0.0393286 + 0.0741817i
\(568\) −523.458 115.222i −0.0386687 0.00851162i
\(569\) 17492.8 + 5894.00i 1.28881 + 0.434252i 0.878522 0.477703i \(-0.158530\pi\)
0.410292 + 0.911954i \(0.365427\pi\)
\(570\) 690.393 + 12733.5i 0.0507322 + 0.935701i
\(571\) 2052.71 1560.43i 0.150443 0.114364i −0.527245 0.849713i \(-0.676775\pi\)
0.677688 + 0.735349i \(0.262982\pi\)
\(572\) −3744.13 7062.17i −0.273689 0.516231i
\(573\) 466.700 + 1680.90i 0.0340256 + 0.122549i
\(574\) −896.361 849.078i −0.0651801 0.0617419i
\(575\) 4742.79 + 11903.5i 0.343979 + 0.863323i
\(576\) 4183.09 1409.45i 0.302596 0.101956i
\(577\) 3472.53 377.660i 0.250543 0.0272482i 0.0180142 0.999838i \(-0.494266\pi\)
0.232529 + 0.972590i \(0.425300\pi\)
\(578\) −14971.6 6926.61i −1.07740 0.498458i
\(579\) −7948.52 + 7529.24i −0.570517 + 0.540423i
\(580\) −5451.46 3280.04i −0.390275 0.234821i
\(581\) −3232.30 351.533i −0.230806 0.0251016i
\(582\) 4411.77 971.103i 0.314216 0.0691641i
\(583\) 7135.77 25700.7i 0.506919 1.82576i
\(584\) −624.951 + 376.021i −0.0442820 + 0.0266436i
\(585\) −1357.01 + 627.819i −0.0959067 + 0.0443712i
\(586\) −1083.85 + 2720.25i −0.0764050 + 0.191762i
\(587\) 657.644 12129.5i 0.0462417 0.852878i −0.879774 0.475392i \(-0.842306\pi\)
0.926016 0.377485i \(-0.123211\pi\)
\(588\) −1940.48 2861.99i −0.136095 0.200725i
\(589\) 7600.78 0.531723
\(590\) 11478.5 + 4607.54i 0.800952 + 0.321507i
\(591\) 13770.8 0.958472
\(592\) −10494.1 15477.6i −0.728552 1.07453i
\(593\) 7.22907 133.332i 0.000500611 0.00923322i −0.998272 0.0587549i \(-0.981287\pi\)
0.998773 + 0.0495217i \(0.0157697\pi\)
\(594\) −1675.29 + 4204.67i −0.115721 + 0.290437i
\(595\) −2413.22 + 1116.47i −0.166273 + 0.0769260i
\(596\) 8265.91 4973.43i 0.568095 0.341812i
\(597\) −793.416 + 2857.63i −0.0543926 + 0.195904i
\(598\) 15471.8 3405.60i 1.05801 0.232885i
\(599\) −8838.11 961.202i −0.602864 0.0655654i −0.198403 0.980121i \(-0.563575\pi\)
−0.404461 + 0.914555i \(0.632541\pi\)
\(600\) 132.819 + 79.9143i 0.00903716 + 0.00543748i
\(601\) 5104.54 4835.27i 0.346453 0.328178i −0.494610 0.869115i \(-0.664689\pi\)
0.841063 + 0.540937i \(0.181930\pi\)
\(602\) 4219.37 + 1952.09i 0.285663 + 0.132162i
\(603\) −710.407 + 77.2614i −0.0479768 + 0.00521779i
\(604\) 13495.4 4547.13i 0.909140 0.306325i
\(605\) 1126.72 + 2827.86i 0.0757155 + 0.190031i
\(606\) −13883.2 13150.9i −0.930637 0.881546i
\(607\) −5763.97 20759.9i −0.385424 1.38817i −0.861049 0.508523i \(-0.830192\pi\)
0.475625 0.879648i \(-0.342222\pi\)
\(608\) −18570.5 35027.6i −1.23870 2.33644i
\(609\) −3957.79 + 3008.63i −0.263346 + 0.200190i
\(610\) −343.567 6336.73i −0.0228043 0.420601i
\(611\) 11533.6 + 3886.13i 0.763668 + 0.257310i
\(612\) −1907.22 419.812i −0.125972 0.0277286i
\(613\) −9677.71 + 18254.1i −0.637650 + 1.20273i 0.328439 + 0.944525i \(0.393477\pi\)
−0.966089 + 0.258210i \(0.916867\pi\)
\(614\) −2459.19 15000.4i −0.161637 0.985941i
\(615\) −295.346 + 347.709i −0.0193651 + 0.0227983i
\(616\) −252.989 297.841i −0.0165474 0.0194811i
\(617\) 4180.15 25497.8i 0.272750 1.66370i −0.394524 0.918886i \(-0.629090\pi\)
0.667273 0.744813i \(-0.267461\pi\)
\(618\) −16686.5 12684.7i −1.08613 0.825654i
\(619\) −14906.1 + 21984.8i −0.967893 + 1.42753i −0.0648934 + 0.997892i \(0.520671\pi\)
−0.902999 + 0.429642i \(0.858640\pi\)
\(620\) 1471.49 2170.29i 0.0953171 0.140582i
\(621\) −3533.11 2685.80i −0.228307 0.173554i
\(622\) 896.710 5469.69i 0.0578052 0.352596i
\(623\) −7140.36 8406.28i −0.459185 0.540595i
\(624\) 3072.05 3616.70i 0.197084 0.232025i
\(625\) −31.7432 193.625i −0.00203157 0.0123920i
\(626\) −14964.3 + 28225.6i −0.955420 + 1.80211i
\(627\) 19223.9 + 4231.50i 1.22445 + 0.269521i
\(628\) −4267.44 1437.87i −0.271161 0.0913649i
\(629\) 429.419 + 7920.17i 0.0272211 + 0.502063i
\(630\) 2736.70 2080.38i 0.173068 0.131563i
\(631\) −1493.32 2816.69i −0.0942123 0.177703i 0.831927 0.554885i \(-0.187238\pi\)
−0.926139 + 0.377182i \(0.876893\pi\)
\(632\) 18.7791 + 67.6362i 0.00118195 + 0.00425700i
\(633\) 1360.18 + 1288.43i 0.0854062 + 0.0809011i
\(634\) −5940.16 14908.7i −0.372104 0.933911i
\(635\) −5075.57 + 1710.16i −0.317193 + 0.106875i
\(636\) −14791.6 + 1608.68i −0.922210 + 0.100296i
\(637\) −3234.52 1496.45i −0.201187 0.0930791i
\(638\) −14410.9 + 13650.7i −0.894251 + 0.847080i
\(639\) −6236.18 3752.18i −0.386071 0.232291i
\(640\) 578.376 + 62.9021i 0.0357223 + 0.00388504i
\(641\) 16533.0 3639.18i 1.01874 0.224242i 0.325955 0.945385i \(-0.394314\pi\)
0.692786 + 0.721144i \(0.256383\pi\)
\(642\) −1895.59 + 6827.30i −0.116531 + 0.419707i
\(643\) −15807.1 + 9510.80i −0.969471 + 0.583312i −0.909862 0.414910i \(-0.863813\pi\)
−0.0596091 + 0.998222i \(0.518985\pi\)
\(644\) −16354.5 + 7566.40i −1.00071 + 0.462978i
\(645\) 635.841 1595.84i 0.0388158 0.0974204i
\(646\) −929.388 + 17141.6i −0.0566042 + 1.04400i
\(647\) −11084.2 16348.0i −0.673516 0.993362i −0.998859 0.0477654i \(-0.984790\pi\)
0.325343 0.945596i \(-0.394520\pi\)
\(648\) −53.6875 −0.00325470
\(649\) 11592.9 15169.5i 0.701174 0.917493i
\(650\) −7513.23 −0.453374
\(651\) −1149.85 1695.91i −0.0692262 0.102101i
\(652\) 385.994 7119.23i 0.0231851 0.427624i
\(653\) 6352.55 15943.7i 0.380696 0.955474i −0.606373 0.795180i \(-0.707376\pi\)
0.987069 0.160294i \(-0.0512444\pi\)
\(654\) 2525.27 1168.31i 0.150987 0.0698542i
\(655\) 10269.2 6178.77i 0.612597 0.368587i
\(656\) 387.349 1395.11i 0.0230540 0.0830332i
\(657\) −9672.03 + 2128.97i −0.574341 + 0.126422i
\(658\) −27818.0 3025.39i −1.64812 0.179243i
\(659\) 28114.5 + 16915.9i 1.66189 + 0.999926i 0.956774 + 0.290834i \(0.0939326\pi\)
0.705116 + 0.709092i \(0.250895\pi\)
\(660\) 4929.94 4669.89i 0.290754 0.275417i
\(661\) −2878.18 1331.59i −0.169362 0.0783552i 0.333376 0.942794i \(-0.391812\pi\)
−0.502738 + 0.864439i \(0.667674\pi\)
\(662\) 40349.5 4388.28i 2.36893 0.257636i
\(663\) −1907.44 + 642.691i −0.111733 + 0.0376471i
\(664\) −56.9958 143.049i −0.00333112 0.00836049i
\(665\) −10853.9 10281.4i −0.632926 0.599540i
\(666\) −2743.41 9880.86i −0.159617 0.574888i
\(667\) −9116.90 17196.3i −0.529247 0.998266i
\(668\) −4962.64 + 3772.50i −0.287440 + 0.218506i
\(669\) −400.688 7390.26i −0.0231562 0.427091i
\(670\) 2053.59 + 691.935i 0.118414 + 0.0398982i
\(671\) −9566.59 2105.77i −0.550394 0.121151i
\(672\) −5006.09 + 9442.49i −0.287372 + 0.542042i
\(673\) 3320.82 + 20256.1i 0.190205 + 1.16020i 0.893420 + 0.449223i \(0.148299\pi\)
−0.703214 + 0.710978i \(0.748253\pi\)
\(674\) −4107.34 + 4835.54i −0.234731 + 0.276347i
\(675\) 1362.60 + 1604.18i 0.0776985 + 0.0914738i
\(676\) 2040.78 12448.2i 0.116112 0.708250i
\(677\) −7771.36 5907.63i −0.441178 0.335375i 0.360889 0.932609i \(-0.382473\pi\)
−0.802067 + 0.597234i \(0.796266\pi\)
\(678\) −7025.42 + 10361.7i −0.397949 + 0.586931i
\(679\) −2972.07 + 4383.48i −0.167979 + 0.247750i
\(680\) −100.252 76.2095i −0.00565365 0.00429780i
\(681\) 1776.54 10836.4i 0.0999666 0.609769i
\(682\) −5296.22 6235.19i −0.297365 0.350085i
\(683\) −243.085 + 286.181i −0.0136184 + 0.0160328i −0.768929 0.639334i \(-0.779210\pi\)
0.755311 + 0.655367i \(0.227486\pi\)
\(684\) −1776.41 10835.6i −0.0993023 0.605717i
\(685\) 3730.70 7036.84i 0.208091 0.392502i
\(686\) 26656.7 + 5867.59i 1.48361 + 0.326568i
\(687\) −656.590 221.231i −0.0364636 0.0122860i
\(688\) 295.161 + 5443.92i 0.0163560 + 0.301668i
\(689\) −12208.4 + 9280.56i −0.675039 + 0.513151i
\(690\) 6304.08 + 11890.8i 0.347815 + 0.656048i
\(691\) −4052.21 14594.7i −0.223087 0.803487i −0.987346 0.158578i \(-0.949309\pi\)
0.764259 0.644909i \(-0.223105\pi\)
\(692\) −3698.59 3503.49i −0.203178 0.192460i
\(693\) −1964.06 4929.43i −0.107660 0.270207i
\(694\) 3481.15 1172.94i 0.190407 0.0641557i
\(695\) −15248.3 + 1658.35i −0.832232 + 0.0905107i
\(696\) −213.691 98.8639i −0.0116378 0.00538423i
\(697\) −445.865 + 422.345i −0.0242300 + 0.0229519i
\(698\) −40843.7 24574.8i −2.21484 1.33262i
\(699\) 259.107 + 28.1796i 0.0140205 + 0.00152482i
\(700\) 8346.27 1837.15i 0.450656 0.0991970i
\(701\) 613.462 2209.49i 0.0330530 0.119046i −0.945183 0.326540i \(-0.894117\pi\)
0.978236 + 0.207494i \(0.0665309\pi\)
\(702\) 2229.76 1341.60i 0.119882 0.0721303i
\(703\) −40475.5 + 18725.9i −2.17150 + 1.00464i
\(704\) −7647.94 + 19194.9i −0.409435 + 1.02761i
\(705\) −559.768 + 10324.3i −0.0299037 + 0.551541i
\(706\) −27131.5 40016.0i −1.44633 2.13317i
\(707\) 22419.2 1.19259
\(708\) −10254.5 2875.45i −0.544334 0.152636i
\(709\) 22351.4 1.18395 0.591977 0.805955i \(-0.298348\pi\)
0.591977 + 0.805955i \(0.298348\pi\)
\(710\) 12385.7 + 18267.6i 0.654688 + 0.965592i
\(711\) −51.6023 + 951.748i −0.00272185 + 0.0502016i
\(712\) 193.346 485.261i 0.0101769 0.0255421i
\(713\) 7280.33 3368.24i 0.382399 0.176917i
\(714\) 3965.27 2385.82i 0.207838 0.125052i
\(715\) 1872.42 6743.84i 0.0979363 0.352735i
\(716\) 1020.62 224.655i 0.0532713 0.0117259i
\(717\) −7629.15 829.720i −0.397372 0.0432168i
\(718\) 2832.97 + 1704.54i 0.147250 + 0.0885975i
\(719\) −14059.2 + 13317.6i −0.729234 + 0.690767i −0.959294 0.282409i \(-0.908866\pi\)
0.230060 + 0.973176i \(0.426108\pi\)
\(720\) 3658.72 + 1692.71i 0.189379 + 0.0876159i
\(721\) 24429.4 2656.85i 1.26185 0.137235i
\(722\) −65605.0 + 22104.9i −3.38167 + 1.13942i
\(723\) 3185.10 + 7993.99i 0.163838 + 0.411203i
\(724\) 23099.4 + 21880.9i 1.18575 + 1.12320i
\(725\) 2469.47 + 8894.24i 0.126502 + 0.455619i
\(726\) −2481.58 4680.75i −0.126860 0.239282i
\(727\) 27619.7 20996.0i 1.40902 1.07111i 0.422702 0.906269i \(-0.361082\pi\)
0.986320 0.164842i \(-0.0527115\pi\)
\(728\) 12.1638 + 224.348i 0.000619260 + 0.0114216i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) 29330.7 + 6456.17i 1.48709 + 0.327333i
\(731\) 1083.20 2043.14i 0.0548067 0.103376i
\(732\) 884.014 + 5392.25i 0.0446368 + 0.272272i
\(733\) 2290.02 2696.02i 0.115394 0.135852i −0.701432 0.712736i \(-0.747456\pi\)
0.816826 + 0.576884i \(0.195732\pi\)
\(734\) 6111.16 + 7194.62i 0.307312 + 0.361796i
\(735\) 489.823 2987.79i 0.0245815 0.149940i
\(736\) −33309.8 25321.5i −1.66823 1.26815i
\(737\) 1877.16 2768.60i 0.0938210 0.138376i
\(738\) 445.580 657.181i 0.0222250 0.0327794i
\(739\) 18375.6 + 13968.8i 0.914692 + 0.695331i 0.952689 0.303947i \(-0.0983045\pi\)
−0.0379966 + 0.999278i \(0.512098\pi\)
\(740\) −2489.04 + 15182.5i −0.123647 + 0.754214i
\(741\) −7326.59 8625.53i −0.363224 0.427620i
\(742\) 22825.5 26872.3i 1.12931 1.32953i
\(743\) 5294.10 + 32292.6i 0.261402 + 1.59448i 0.712280 + 0.701896i \(0.247663\pi\)
−0.450878 + 0.892586i \(0.648889\pi\)
\(744\) 45.4542 85.7357i 0.00223983 0.00422476i
\(745\) 8249.27 + 1815.80i 0.405678 + 0.0892964i
\(746\) −20469.5 6896.99i −1.00462 0.338494i
\(747\) −113.199 2087.83i −0.00554449 0.102262i
\(748\) 7277.34 5532.09i 0.355730 0.270419i
\(749\) −3891.03 7339.26i −0.189820 0.358038i
\(750\) −4445.66 16011.8i −0.216443 0.779559i
\(751\) 8133.46 + 7704.42i 0.395198 + 0.374352i 0.859336 0.511411i \(-0.170877\pi\)
−0.464138 + 0.885763i \(0.653636\pi\)
\(752\) −12145.8 30483.8i −0.588980 1.47823i
\(753\) −6860.03 + 2311.41i −0.331996 + 0.111863i
\(754\) 11345.6 1233.90i 0.547985 0.0595970i
\(755\) 11316.9 + 5235.75i 0.545514 + 0.252382i
\(756\) −2148.94 + 2035.58i −0.103381 + 0.0979277i
\(757\) 23213.2 + 13966.9i 1.11453 + 0.670589i 0.948893 0.315598i \(-0.102205\pi\)
0.165634 + 0.986187i \(0.447033\pi\)
\(758\) −35946.4 3909.41i −1.72247 0.187330i
\(759\) 20288.6 4465.86i 0.970262 0.213571i
\(760\) 189.424 682.245i 0.00904098 0.0325627i
\(761\) 6329.56 3808.37i 0.301506 0.181410i −0.356759 0.934197i \(-0.616118\pi\)
0.658265 + 0.752786i \(0.271291\pi\)
\(762\) 8459.94 3913.99i 0.402193 0.186074i
\(763\) −1207.41 + 3030.36i −0.0572884 + 0.143783i
\(764\) −246.609 + 4548.43i −0.0116780 + 0.215388i
\(765\) −959.601 1415.31i −0.0453522 0.0668895i
\(766\) 28033.7 1.32232
\(767\) −10584.2 + 2909.52i −0.498270 + 0.136971i
\(768\) −12783.6 −0.600637
\(769\) −848.140 1250.91i −0.0397721 0.0586594i 0.807283 0.590164i \(-0.200937\pi\)
−0.847055 + 0.531505i \(0.821627\pi\)
\(770\) −871.175 + 16067.9i −0.0407727 + 0.752008i
\(771