Properties

Label 177.4.f.a.2.9
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.9
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.216913 + 4.00073i) q^{2} +(4.38754 - 2.78379i) q^{3} +(-8.00566 - 0.870667i) q^{4} +(2.33628 - 6.93383i) q^{5} +(10.1855 + 18.1572i) q^{6} +(-13.7785 - 20.3217i) q^{7} +(0.0342646 - 0.209005i) q^{8} +(11.5010 - 24.4280i) q^{9} +O(q^{10})\) \(q+(-0.216913 + 4.00073i) q^{2} +(4.38754 - 2.78379i) q^{3} +(-8.00566 - 0.870667i) q^{4} +(2.33628 - 6.93383i) q^{5} +(10.1855 + 18.1572i) q^{6} +(-13.7785 - 20.3217i) q^{7} +(0.0342646 - 0.209005i) q^{8} +(11.5010 - 24.4280i) q^{9} +(27.2336 + 10.8508i) q^{10} +(24.1825 - 5.32296i) q^{11} +(-37.5489 + 18.4660i) q^{12} +(5.19695 - 4.41433i) q^{13} +(84.2905 - 50.7159i) q^{14} +(-9.05180 - 36.9261i) q^{15} +(-62.0880 - 13.6666i) q^{16} +(61.1945 + 41.4909i) q^{17} +(95.2350 + 51.3112i) q^{18} +(71.8255 - 135.477i) q^{19} +(-24.7405 + 53.4757i) q^{20} +(-117.025 - 50.8061i) q^{21} +(16.0502 + 97.9020i) q^{22} +(92.8492 - 87.9515i) q^{23} +(-0.431488 - 1.01240i) q^{24} +(56.8919 + 43.2481i) q^{25} +(16.5332 + 21.7491i) q^{26} +(-17.5412 - 139.195i) q^{27} +(92.6123 + 174.685i) q^{28} +(-155.267 + 8.41832i) q^{29} +(149.695 - 28.2040i) q^{30} +(-70.4691 + 37.3603i) q^{31} +(68.5973 - 247.065i) q^{32} +(91.2835 - 90.6736i) q^{33} +(-179.268 + 235.823i) q^{34} +(-173.098 + 48.0604i) q^{35} +(-113.342 + 185.548i) q^{36} +(195.991 - 32.1310i) q^{37} +(526.427 + 316.741i) q^{38} +(10.5133 - 33.8353i) q^{39} +(-1.36915 - 0.725878i) q^{40} +(-203.452 + 214.781i) q^{41} +(228.646 - 457.165i) q^{42} +(-97.3150 + 442.106i) q^{43} +(-198.231 + 21.5589i) q^{44} +(-142.510 - 136.817i) q^{45} +(331.730 + 390.542i) q^{46} +(-325.542 + 109.688i) q^{47} +(-310.458 + 112.877i) q^{48} +(-96.1694 + 241.367i) q^{49} +(-185.364 + 218.228i) q^{50} +(383.995 + 11.6904i) q^{51} +(-45.4484 + 30.8148i) q^{52} +(-407.420 + 162.331i) q^{53} +(560.687 - 39.9841i) q^{54} +(19.5885 - 180.113i) q^{55} +(-4.71946 + 2.18345i) q^{56} +(-62.0029 - 794.359i) q^{57} -623.006i q^{58} +(397.439 - 217.765i) q^{59} +(40.3152 + 303.499i) q^{60} +(193.149 + 10.4722i) q^{61} +(-134.183 - 290.031i) q^{62} +(-654.886 + 102.860i) q^{63} +(491.589 + 165.636i) q^{64} +(-18.4667 - 46.3478i) q^{65} +(342.960 + 384.869i) q^{66} +(497.345 + 81.5355i) q^{67} +(-453.777 - 385.442i) q^{68} +(162.541 - 644.363i) q^{69} +(-154.729 - 702.942i) q^{70} +(-34.3103 - 101.829i) q^{71} +(-4.71149 - 3.24079i) q^{72} +(-357.521 - 594.205i) q^{73} +(86.0346 + 791.075i) q^{74} +(370.009 + 31.3777i) q^{75} +(-692.966 + 1022.05i) q^{76} +(-441.370 - 418.087i) q^{77} +(133.085 + 49.4000i) q^{78} +(-100.048 - 46.2873i) q^{79} +(-239.817 + 398.578i) q^{80} +(-464.453 - 561.894i) q^{81} +(-815.149 - 860.543i) q^{82} +(-177.974 - 641.005i) q^{83} +(892.628 + 508.626i) q^{84} +(430.658 - 327.378i) q^{85} +(-1747.64 - 485.229i) q^{86} +(-657.805 + 469.166i) q^{87} +(-0.283922 - 5.23664i) q^{88} +(69.5504 + 1282.78i) q^{89} +(578.278 - 540.465i) q^{90} +(-161.313 - 44.7883i) q^{91} +(-819.895 + 623.268i) q^{92} +(-205.183 + 360.091i) q^{93} +(-368.216 - 1326.20i) q^{94} +(-771.571 - 814.538i) q^{95} +(-386.804 - 1274.97i) q^{96} +(301.621 - 501.298i) q^{97} +(-944.782 - 437.103i) q^{98} +(148.094 - 651.948i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.216913 + 4.00073i −0.0766904 + 1.41447i 0.666557 + 0.745454i \(0.267767\pi\)
−0.743248 + 0.669016i \(0.766716\pi\)
\(3\) 4.38754 2.78379i 0.844383 0.535741i
\(4\) −8.00566 0.870667i −1.00071 0.108833i
\(5\) 2.33628 6.93383i 0.208963 0.620180i −0.791002 0.611814i \(-0.790440\pi\)
0.999965 0.00836659i \(-0.00266320\pi\)
\(6\) 10.1855 + 18.1572i 0.693033 + 1.23544i
\(7\) −13.7785 20.3217i −0.743968 1.09727i −0.991716 0.128447i \(-0.959001\pi\)
0.247748 0.968825i \(-0.420309\pi\)
\(8\) 0.0342646 0.209005i 0.00151430 0.00923680i
\(9\) 11.5010 24.4280i 0.425964 0.904740i
\(10\) 27.2336 + 10.8508i 0.861201 + 0.343134i
\(11\) 24.1825 5.32296i 0.662844 0.145903i 0.129208 0.991617i \(-0.458756\pi\)
0.533636 + 0.845714i \(0.320825\pi\)
\(12\) −37.5489 + 18.4660i −0.903286 + 0.444222i
\(13\) 5.19695 4.41433i 0.110875 0.0941781i −0.590234 0.807232i \(-0.700965\pi\)
0.701109 + 0.713054i \(0.252689\pi\)
\(14\) 84.2905 50.7159i 1.60911 0.968171i
\(15\) −9.05180 36.9261i −0.155811 0.635619i
\(16\) −62.0880 13.6666i −0.970125 0.213541i
\(17\) 61.1945 + 41.4909i 0.873050 + 0.591943i 0.913318 0.407246i \(-0.133511\pi\)
−0.0402684 + 0.999189i \(0.512821\pi\)
\(18\) 95.2350 + 51.3112i 1.24706 + 0.671898i
\(19\) 71.8255 135.477i 0.867258 1.63582i 0.0995400 0.995034i \(-0.468263\pi\)
0.767718 0.640788i \(-0.221392\pi\)
\(20\) −24.7405 + 53.4757i −0.276607 + 0.597876i
\(21\) −117.025 50.8061i −1.21605 0.527943i
\(22\) 16.0502 + 97.9020i 0.155542 + 0.948763i
\(23\) 92.8492 87.9515i 0.841757 0.797354i −0.139467 0.990227i \(-0.544539\pi\)
0.981224 + 0.192872i \(0.0617803\pi\)
\(24\) −0.431488 1.01240i −0.00366988 0.00861066i
\(25\) 56.8919 + 43.2481i 0.455135 + 0.345985i
\(26\) 16.5332 + 21.7491i 0.124709 + 0.164052i
\(27\) −17.5412 139.195i −0.125029 0.992153i
\(28\) 92.6123 + 174.685i 0.625075 + 1.17902i
\(29\) −155.267 + 8.41832i −0.994218 + 0.0539049i −0.544062 0.839045i \(-0.683114\pi\)
−0.450156 + 0.892950i \(0.648632\pi\)
\(30\) 149.695 28.2040i 0.911014 0.171644i
\(31\) −70.4691 + 37.3603i −0.408278 + 0.216455i −0.659873 0.751377i \(-0.729390\pi\)
0.251595 + 0.967833i \(0.419045\pi\)
\(32\) 68.5973 247.065i 0.378950 1.36486i
\(33\) 91.2835 90.6736i 0.481528 0.478310i
\(34\) −179.268 + 235.823i −0.904240 + 1.18951i
\(35\) −173.098 + 48.0604i −0.835968 + 0.232105i
\(36\) −113.342 + 185.548i −0.524731 + 0.859021i
\(37\) 195.991 32.1310i 0.870829 0.142765i 0.290232 0.956956i \(-0.406268\pi\)
0.580597 + 0.814191i \(0.302819\pi\)
\(38\) 526.427 + 316.741i 2.24731 + 1.35216i
\(39\) 10.5133 33.8353i 0.0431659 0.138923i
\(40\) −1.36915 0.725878i −0.00541205 0.00286929i
\(41\) −203.452 + 214.781i −0.774971 + 0.818127i −0.987266 0.159079i \(-0.949148\pi\)
0.212295 + 0.977206i \(0.431906\pi\)
\(42\) 228.646 457.165i 0.840018 1.67957i
\(43\) −97.3150 + 442.106i −0.345126 + 1.56792i 0.409841 + 0.912157i \(0.365584\pi\)
−0.754966 + 0.655764i \(0.772347\pi\)
\(44\) −198.231 + 21.5589i −0.679192 + 0.0738666i
\(45\) −142.510 136.817i −0.472091 0.453232i
\(46\) 331.730 + 390.542i 1.06328 + 1.25179i
\(47\) −325.542 + 109.688i −1.01032 + 0.340417i −0.775314 0.631577i \(-0.782408\pi\)
−0.235008 + 0.971993i \(0.575512\pi\)
\(48\) −310.458 + 112.877i −0.933559 + 0.339425i
\(49\) −96.1694 + 241.367i −0.280377 + 0.703694i
\(50\) −185.364 + 218.228i −0.524290 + 0.617241i
\(51\) 383.995 + 11.6904i 1.05432 + 0.0320977i
\(52\) −45.4484 + 30.8148i −0.121203 + 0.0821777i
\(53\) −407.420 + 162.331i −1.05591 + 0.420714i −0.832509 0.554012i \(-0.813096\pi\)
−0.223404 + 0.974726i \(0.571717\pi\)
\(54\) 560.687 39.9841i 1.41296 0.100762i
\(55\) 19.5885 180.113i 0.0480238 0.441571i
\(56\) −4.71946 + 2.18345i −0.0112619 + 0.00521029i
\(57\) −62.0029 794.359i −0.144079 1.84588i
\(58\) 623.006i 1.41043i
\(59\) 397.439 217.765i 0.876985 0.480517i
\(60\) 40.3152 + 303.499i 0.0867445 + 0.653026i
\(61\) 193.149 + 10.4722i 0.405413 + 0.0219808i 0.255718 0.966751i \(-0.417688\pi\)
0.149695 + 0.988732i \(0.452171\pi\)
\(62\) −134.183 290.031i −0.274859 0.594097i
\(63\) −654.886 + 102.860i −1.30965 + 0.205700i
\(64\) 491.589 + 165.636i 0.960135 + 0.323507i
\(65\) −18.4667 46.3478i −0.0352386 0.0884422i
\(66\) 342.960 + 384.869i 0.639627 + 0.717789i
\(67\) 497.345 + 81.5355i 0.906871 + 0.148674i 0.597127 0.802146i \(-0.296309\pi\)
0.309743 + 0.950820i \(0.399757\pi\)
\(68\) −453.777 385.442i −0.809244 0.687378i
\(69\) 162.541 644.363i 0.283590 1.12424i
\(70\) −154.729 702.942i −0.264195 1.20025i
\(71\) −34.3103 101.829i −0.0573505 0.170210i 0.915149 0.403116i \(-0.132073\pi\)
−0.972499 + 0.232906i \(0.925176\pi\)
\(72\) −4.71149 3.24079i −0.00771187 0.00530459i
\(73\) −357.521 594.205i −0.573215 0.952691i −0.998857 0.0477993i \(-0.984779\pi\)
0.425642 0.904892i \(-0.360048\pi\)
\(74\) 86.0346 + 791.075i 0.135153 + 1.24271i
\(75\) 370.009 + 31.3777i 0.569666 + 0.0483091i
\(76\) −692.966 + 1022.05i −1.04590 + 1.54259i
\(77\) −441.370 418.087i −0.653230 0.618773i
\(78\) 133.085 + 49.4000i 0.193191 + 0.0717109i
\(79\) −100.048 46.2873i −0.142485 0.0659206i 0.347351 0.937735i \(-0.387081\pi\)
−0.489836 + 0.871815i \(0.662943\pi\)
\(80\) −239.817 + 398.578i −0.335154 + 0.557030i
\(81\) −464.453 561.894i −0.637109 0.770773i
\(82\) −815.149 860.543i −1.09778 1.15892i
\(83\) −177.974 641.005i −0.235364 0.847704i −0.983002 0.183597i \(-0.941226\pi\)
0.747638 0.664107i \(-0.231188\pi\)
\(84\) 892.628 + 508.626i 1.15945 + 0.660662i
\(85\) 430.658 327.378i 0.549546 0.417754i
\(86\) −1747.64 485.229i −2.19131 0.608414i
\(87\) −657.805 + 469.166i −0.810621 + 0.578159i
\(88\) −0.283922 5.23664i −0.000343934 0.00634350i
\(89\) 69.5504 + 1282.78i 0.0828351 + 1.52780i 0.684475 + 0.729036i \(0.260031\pi\)
−0.601640 + 0.798767i \(0.705486\pi\)
\(90\) 578.278 540.465i 0.677288 0.633000i
\(91\) −161.313 44.7883i −0.185826 0.0515944i
\(92\) −819.895 + 623.268i −0.929131 + 0.706307i
\(93\) −205.183 + 360.091i −0.228779 + 0.401502i
\(94\) −368.216 1326.20i −0.404028 1.45518i
\(95\) −771.571 814.538i −0.833279 0.879682i
\(96\) −386.804 1274.97i −0.411229 1.35548i
\(97\) 301.621 501.298i 0.315721 0.524733i −0.657840 0.753157i \(-0.728530\pi\)
0.973562 + 0.228425i \(0.0733575\pi\)
\(98\) −944.782 437.103i −0.973851 0.450552i
\(99\) 148.094 651.948i 0.150343 0.661851i
\(100\) −417.802 395.763i −0.417802 0.395763i
\(101\) −513.520 + 757.385i −0.505912 + 0.746165i −0.991792 0.127861i \(-0.959189\pi\)
0.485880 + 0.874026i \(0.338499\pi\)
\(102\) −130.064 + 1533.72i −0.126257 + 1.48884i
\(103\) 54.5544 + 501.619i 0.0521884 + 0.479864i 0.990844 + 0.135009i \(0.0431064\pi\)
−0.938656 + 0.344855i \(0.887928\pi\)
\(104\) −0.744545 1.23744i −0.000702006 0.00116674i
\(105\) −625.684 + 692.735i −0.581528 + 0.643848i
\(106\) −561.067 1665.19i −0.514109 1.52582i
\(107\) 276.072 + 1254.21i 0.249429 + 1.13317i 0.920183 + 0.391488i \(0.128040\pi\)
−0.670754 + 0.741680i \(0.734029\pi\)
\(108\) 19.2357 + 1129.62i 0.0171384 + 1.00646i
\(109\) 962.698 + 817.723i 0.845961 + 0.718565i 0.961520 0.274735i \(-0.0885902\pi\)
−0.115559 + 0.993301i \(0.536866\pi\)
\(110\) 716.333 + 117.437i 0.620906 + 0.101792i
\(111\) 770.471 686.573i 0.658828 0.587087i
\(112\) 577.749 + 1450.04i 0.487430 + 1.22336i
\(113\) 1797.80 + 605.748i 1.49666 + 0.504283i 0.944233 0.329279i \(-0.106806\pi\)
0.552426 + 0.833562i \(0.313702\pi\)
\(114\) 3191.46 75.7499i 2.62200 0.0622336i
\(115\) −392.919 849.280i −0.318607 0.688658i
\(116\) 1250.34 + 67.7916i 1.00079 + 0.0542611i
\(117\) −48.0629 177.720i −0.0379779 0.140430i
\(118\) 785.007 + 1637.28i 0.612421 + 1.27732i
\(119\) 1815.26i 1.39836i
\(120\) −8.02790 + 0.626610i −0.00610703 + 0.000476678i
\(121\) −651.526 + 301.428i −0.489501 + 0.226467i
\(122\) −83.7930 + 770.464i −0.0621825 + 0.571759i
\(123\) −294.746 + 1508.73i −0.216068 + 1.10600i
\(124\) 596.679 237.739i 0.432124 0.172174i
\(125\) 1189.80 806.703i 0.851350 0.577230i
\(126\) −269.460 2642.33i −0.190519 1.86823i
\(127\) −363.840 + 428.345i −0.254217 + 0.299287i −0.874436 0.485142i \(-0.838768\pi\)
0.620219 + 0.784429i \(0.287044\pi\)
\(128\) −10.0341 + 25.1838i −0.00692891 + 0.0173903i
\(129\) 803.758 + 2210.66i 0.548581 + 1.50882i
\(130\) 189.431 63.8266i 0.127801 0.0430613i
\(131\) −1090.34 1283.65i −0.727203 0.856130i 0.266995 0.963698i \(-0.413969\pi\)
−0.994198 + 0.107568i \(0.965694\pi\)
\(132\) −809.731 + 646.424i −0.533924 + 0.426242i
\(133\) −3742.78 + 407.052i −2.44015 + 0.265383i
\(134\) −434.082 + 1972.05i −0.279843 + 1.27134i
\(135\) −1006.14 203.571i −0.641440 0.129783i
\(136\) 10.7686 11.3683i 0.00678971 0.00716781i
\(137\) 2204.54 + 1168.77i 1.37479 + 0.728869i 0.981665 0.190615i \(-0.0610483\pi\)
0.393127 + 0.919484i \(0.371393\pi\)
\(138\) 2542.66 + 790.054i 1.56845 + 0.487347i
\(139\) 1133.48 + 681.989i 0.691656 + 0.416155i 0.817526 0.575891i \(-0.195345\pi\)
−0.125871 + 0.992047i \(0.540172\pi\)
\(140\) 1427.61 234.044i 0.861820 0.141288i
\(141\) −1122.98 + 1387.50i −0.670723 + 0.828712i
\(142\) 414.834 115.178i 0.245155 0.0680671i
\(143\) 102.178 134.412i 0.0597520 0.0786024i
\(144\) −1047.92 + 1359.50i −0.606437 + 0.786750i
\(145\) −304.375 + 1096.26i −0.174324 + 0.627859i
\(146\) 2454.80 1301.45i 1.39151 0.737734i
\(147\) 249.968 + 1326.72i 0.140252 + 0.744396i
\(148\) −1597.01 + 86.5873i −0.886982 + 0.0480908i
\(149\) −447.717 844.484i −0.246164 0.464314i 0.729383 0.684105i \(-0.239807\pi\)
−0.975547 + 0.219791i \(0.929462\pi\)
\(150\) −205.793 + 1473.50i −0.112020 + 0.802071i
\(151\) 1389.17 + 1827.43i 0.748671 + 0.984859i 0.999857 + 0.0169207i \(0.00538628\pi\)
−0.251186 + 0.967939i \(0.580821\pi\)
\(152\) −25.8543 19.6540i −0.0137965 0.0104878i
\(153\) 1717.34 1017.67i 0.907442 0.537737i
\(154\) 1768.39 1675.11i 0.925332 0.876521i
\(155\) 94.4147 + 575.904i 0.0489263 + 0.298437i
\(156\) −113.625 + 261.720i −0.0583158 + 0.134323i
\(157\) 903.661 1953.23i 0.459363 0.992897i −0.530077 0.847950i \(-0.677837\pi\)
0.989439 0.144947i \(-0.0463011\pi\)
\(158\) 206.885 390.226i 0.104170 0.196485i
\(159\) −1335.68 + 1846.40i −0.666201 + 0.920939i
\(160\) −1552.84 1052.85i −0.767270 0.520222i
\(161\) −3066.65 675.021i −1.50115 0.330429i
\(162\) 2348.73 1736.27i 1.13910 0.842061i
\(163\) −466.821 + 280.877i −0.224320 + 0.134969i −0.623278 0.782000i \(-0.714200\pi\)
0.398958 + 0.916969i \(0.369372\pi\)
\(164\) 1815.77 1542.33i 0.864558 0.734362i
\(165\) −415.451 844.783i −0.196017 0.398583i
\(166\) 2603.09 572.983i 1.21710 0.267904i
\(167\) −846.195 337.155i −0.392099 0.156227i 0.165752 0.986167i \(-0.446995\pi\)
−0.557851 + 0.829941i \(0.688374\pi\)
\(168\) −14.6285 + 22.7180i −0.00671795 + 0.0104329i
\(169\) −347.913 + 2122.18i −0.158358 + 0.965943i
\(170\) 1216.33 + 1793.96i 0.548756 + 0.809355i
\(171\) −2483.37 3312.68i −1.11057 1.48144i
\(172\) 1164.00 3454.62i 0.516012 1.53147i
\(173\) −3524.66 383.330i −1.54899 0.168463i −0.706710 0.707503i \(-0.749822\pi\)
−0.842280 + 0.539040i \(0.818787\pi\)
\(174\) −1734.32 2733.46i −0.755623 1.19094i
\(175\) 94.9926 1752.04i 0.0410330 0.756808i
\(176\) −1574.19 −0.674198
\(177\) 1137.57 2061.84i 0.483078 0.875577i
\(178\) −5147.14 −2.16739
\(179\) 2.73912 50.5202i 0.00114375 0.0210953i −0.997906 0.0646835i \(-0.979396\pi\)
0.999050 + 0.0435882i \(0.0138790\pi\)
\(180\) 1021.76 + 1219.39i 0.423098 + 0.504931i
\(181\) −1513.94 164.651i −0.621714 0.0676155i −0.208160 0.978095i \(-0.566747\pi\)
−0.413555 + 0.910479i \(0.635713\pi\)
\(182\) 214.177 635.654i 0.0872299 0.258889i
\(183\) 876.601 491.738i 0.354099 0.198636i
\(184\) −15.2008 22.4196i −0.00609033 0.00898257i
\(185\) 235.098 1434.03i 0.0934309 0.569903i
\(186\) −1396.12 898.988i −0.550368 0.354392i
\(187\) 1700.69 + 677.616i 0.665062 + 0.264985i
\(188\) 2701.67 594.684i 1.04808 0.230701i
\(189\) −2587.00 + 2274.37i −0.995643 + 0.875322i
\(190\) 3426.11 2910.16i 1.30819 1.11119i
\(191\) 2561.99 1541.50i 0.970569 0.583972i 0.0603849 0.998175i \(-0.480767\pi\)
0.910185 + 0.414203i \(0.135940\pi\)
\(192\) 2617.96 641.748i 0.984037 0.241220i
\(193\) 3457.90 + 761.140i 1.28966 + 0.283876i 0.806280 0.591534i \(-0.201477\pi\)
0.483382 + 0.875410i \(0.339408\pi\)
\(194\) 1940.13 + 1315.44i 0.718006 + 0.486820i
\(195\) −210.046 151.946i −0.0771369 0.0558003i
\(196\) 980.049 1848.57i 0.357161 0.673677i
\(197\) −1138.86 + 2461.61i −0.411882 + 0.890268i 0.584976 + 0.811051i \(0.301104\pi\)
−0.996857 + 0.0792169i \(0.974758\pi\)
\(198\) 2576.14 + 733.899i 0.924639 + 0.263414i
\(199\) 594.570 + 3626.71i 0.211799 + 1.29191i 0.851933 + 0.523651i \(0.175430\pi\)
−0.640134 + 0.768263i \(0.721121\pi\)
\(200\) 10.9884 10.4088i 0.00388500 0.00368007i
\(201\) 2409.10 1026.76i 0.845396 0.360310i
\(202\) −2918.70 2218.74i −1.01663 0.772822i
\(203\) 2310.42 + 3039.30i 0.798815 + 1.05082i
\(204\) −3063.96 427.921i −1.05157 0.146865i
\(205\) 1013.94 + 1912.49i 0.345446 + 0.651580i
\(206\) −2018.67 + 109.449i −0.682756 + 0.0370179i
\(207\) −1080.62 3279.65i −0.362840 1.10122i
\(208\) −382.997 + 203.052i −0.127673 + 0.0676882i
\(209\) 1015.78 3658.50i 0.336185 1.21083i
\(210\) −2635.72 2653.45i −0.866106 0.871932i
\(211\) −985.678 + 1296.64i −0.321597 + 0.423053i −0.928275 0.371894i \(-0.878708\pi\)
0.606679 + 0.794947i \(0.292502\pi\)
\(212\) 3403.00 944.838i 1.10245 0.306093i
\(213\) −434.009 351.268i −0.139614 0.112998i
\(214\) −5077.63 + 832.436i −1.62196 + 0.265907i
\(215\) 2838.13 + 1707.65i 0.900275 + 0.541678i
\(216\) −29.6935 1.10328i −0.00935365 0.000347541i
\(217\) 1730.18 + 917.286i 0.541256 + 0.286956i
\(218\) −3480.31 + 3674.11i −1.08127 + 1.14148i
\(219\) −3222.78 1611.83i −0.994408 0.497341i
\(220\) −313.637 + 1424.87i −0.0961154 + 0.436657i
\(221\) 501.179 54.5065i 0.152547 0.0165905i
\(222\) 2579.67 + 3231.37i 0.779891 + 0.976916i
\(223\) −1287.40 1515.65i −0.386595 0.455135i 0.534098 0.845423i \(-0.320651\pi\)
−0.920693 + 0.390288i \(0.872376\pi\)
\(224\) −5965.96 + 2010.17i −1.77954 + 0.599598i
\(225\) 1710.78 892.357i 0.506897 0.264402i
\(226\) −2813.40 + 7061.09i −0.828072 + 2.07830i
\(227\) 202.895 238.867i 0.0593243 0.0698420i −0.731699 0.681627i \(-0.761273\pi\)
0.791024 + 0.611785i \(0.209548\pi\)
\(228\) −195.248 + 6413.35i −0.0567134 + 1.86287i
\(229\) 1429.28 969.076i 0.412443 0.279643i −0.337268 0.941409i \(-0.609503\pi\)
0.749711 + 0.661765i \(0.230192\pi\)
\(230\) 3482.96 1387.74i 0.998521 0.397847i
\(231\) −3100.39 605.696i −0.883078 0.172519i
\(232\) −3.56069 + 32.7400i −0.00100763 + 0.00926502i
\(233\) −617.446 + 285.661i −0.173606 + 0.0803188i −0.504767 0.863255i \(-0.668422\pi\)
0.331161 + 0.943574i \(0.392560\pi\)
\(234\) 721.436 153.737i 0.201546 0.0429491i
\(235\) 2513.51i 0.697716i
\(236\) −3371.36 + 1397.31i −0.929901 + 0.385412i
\(237\) −567.820 + 75.4262i −0.155628 + 0.0206728i
\(238\) 7262.36 + 393.754i 1.97794 + 0.107241i
\(239\) 1576.95 + 3408.53i 0.426798 + 0.922508i 0.995024 + 0.0996357i \(0.0317677\pi\)
−0.568226 + 0.822872i \(0.692370\pi\)
\(240\) 57.3531 + 2416.38i 0.0154255 + 0.649902i
\(241\) −478.113 161.095i −0.127792 0.0430583i 0.254679 0.967026i \(-0.418030\pi\)
−0.382471 + 0.923967i \(0.624927\pi\)
\(242\) −1064.61 2671.96i −0.282791 0.709752i
\(243\) −3602.00 1172.39i −0.950899 0.309502i
\(244\) −1537.17 252.005i −0.403307 0.0661188i
\(245\) 1448.92 + 1230.72i 0.377828 + 0.320930i
\(246\) −5972.07 1506.46i −1.54783 0.390441i
\(247\) −224.768 1021.13i −0.0579013 0.263048i
\(248\) 5.39390 + 16.0085i 0.00138110 + 0.00409896i
\(249\) −2565.29 2316.99i −0.652886 0.589692i
\(250\) 2969.32 + 4935.04i 0.751184 + 1.24848i
\(251\) −533.128 4902.03i −0.134067 1.23272i −0.847039 0.531531i \(-0.821617\pi\)
0.712972 0.701192i \(-0.247349\pi\)
\(252\) 5332.35 253.271i 1.33296 0.0633118i
\(253\) 1777.16 2621.12i 0.441617 0.651336i
\(254\) −1634.77 1548.54i −0.403837 0.382535i
\(255\) 978.179 2635.24i 0.240219 0.647159i
\(256\) 3667.82 + 1696.91i 0.895463 + 0.414285i
\(257\) 489.384 813.363i 0.118782 0.197417i −0.791762 0.610830i \(-0.790836\pi\)
0.910544 + 0.413413i \(0.135663\pi\)
\(258\) −9018.61 + 2736.09i −2.17626 + 0.660239i
\(259\) −3353.41 3540.16i −0.804521 0.849323i
\(260\) 107.484 + 387.123i 0.0256380 + 0.0923399i
\(261\) −1580.09 + 3889.68i −0.374731 + 0.922471i
\(262\) 5372.04 4083.72i 1.26674 0.962950i
\(263\) 3738.08 + 1037.87i 0.876426 + 0.243339i 0.676473 0.736467i \(-0.263507\pi\)
0.199953 + 0.979806i \(0.435921\pi\)
\(264\) −15.8234 22.1856i −0.00368888 0.00517208i
\(265\) 173.728 + 3204.23i 0.0402718 + 0.742770i
\(266\) −816.645 15062.1i −0.188240 3.47188i
\(267\) 3876.15 + 5434.64i 0.888451 + 1.24567i
\(268\) −3910.58 1085.77i −0.891331 0.247477i
\(269\) −1939.15 + 1474.10i −0.439523 + 0.334117i −0.801421 0.598101i \(-0.795922\pi\)
0.361897 + 0.932218i \(0.382129\pi\)
\(270\) 1032.68 3981.12i 0.232766 0.897345i
\(271\) 1274.01 + 4588.57i 0.285574 + 1.02855i 0.957620 + 0.288036i \(0.0930022\pi\)
−0.672045 + 0.740510i \(0.734584\pi\)
\(272\) −3232.40 3412.41i −0.720564 0.760690i
\(273\) −832.449 + 252.551i −0.184550 + 0.0559893i
\(274\) −5154.13 + 8566.24i −1.13640 + 1.88871i
\(275\) 1605.99 + 743.012i 0.352164 + 0.162928i
\(276\) −1862.28 + 5017.03i −0.406145 + 1.09417i
\(277\) −4737.47 4487.57i −1.02761 0.973400i −0.0279499 0.999609i \(-0.508898\pi\)
−0.999656 + 0.0262089i \(0.991657\pi\)
\(278\) −2974.32 + 4386.79i −0.641683 + 0.946411i
\(279\) 102.171 + 2151.10i 0.0219241 + 0.461588i
\(280\) 4.11372 + 37.8251i 0.000878007 + 0.00807314i
\(281\) −1676.91 2787.04i −0.356000 0.591676i 0.626167 0.779689i \(-0.284623\pi\)
−0.982167 + 0.188013i \(0.939795\pi\)
\(282\) −5307.41 4793.70i −1.12075 1.01227i
\(283\) −529.852 1572.55i −0.111295 0.330312i 0.877503 0.479571i \(-0.159208\pi\)
−0.988798 + 0.149259i \(0.952311\pi\)
\(284\) 186.017 + 845.083i 0.0388665 + 0.176572i
\(285\) −5652.80 1425.93i −1.17489 0.296367i
\(286\) 515.584 + 437.941i 0.106598 + 0.0905454i
\(287\) 7167.98 + 1175.13i 1.47426 + 0.241693i
\(288\) −5246.36 4517.20i −1.07342 0.924230i
\(289\) 204.784 + 513.969i 0.0416820 + 0.104614i
\(290\) −4319.82 1455.52i −0.874718 0.294727i
\(291\) −72.1339 3039.11i −0.0145311 0.612220i
\(292\) 2344.84 + 5068.28i 0.469936 + 1.01575i
\(293\) 4163.06 + 225.714i 0.830063 + 0.0450047i 0.464272 0.885693i \(-0.346316\pi\)
0.365790 + 0.930697i \(0.380799\pi\)
\(294\) −5362.07 + 712.269i −1.06368 + 0.141294i
\(295\) −581.414 3264.53i −0.114750 0.644299i
\(296\) 42.0640i 0.00825986i
\(297\) −1165.12 3272.71i −0.227633 0.639401i
\(298\) 3475.66 1608.01i 0.675637 0.312583i
\(299\) 94.2861 866.947i 0.0182365 0.167682i
\(300\) −2934.85 573.354i −0.564811 0.110342i
\(301\) 10325.2 4113.95i 1.97720 0.787787i
\(302\) −7612.36 + 5161.31i −1.45047 + 0.983443i
\(303\) −144.688 + 4752.59i −0.0274327 + 0.901086i
\(304\) −6311.01 + 7429.90i −1.19066 + 1.40176i
\(305\) 523.862 1314.79i 0.0983484 0.246836i
\(306\) 3698.91 + 7091.35i 0.691021 + 1.32479i
\(307\) 4400.91 1482.84i 0.818153 0.275668i 0.121057 0.992646i \(-0.461372\pi\)
0.697096 + 0.716978i \(0.254475\pi\)
\(308\) 3169.44 + 3731.35i 0.586349 + 0.690303i
\(309\) 1635.76 + 2049.01i 0.301150 + 0.377229i
\(310\) −2324.52 + 252.806i −0.425883 + 0.0463175i
\(311\) 1125.26 5112.11i 0.205169 0.932093i −0.755663 0.654961i \(-0.772685\pi\)
0.960832 0.277132i \(-0.0893839\pi\)
\(312\) −6.71150 3.35668i −0.00121783 0.000609084i
\(313\) −2524.38 + 2664.95i −0.455866 + 0.481252i −0.912892 0.408201i \(-0.866156\pi\)
0.457026 + 0.889454i \(0.348915\pi\)
\(314\) 7618.33 + 4038.98i 1.36919 + 0.725901i
\(315\) −816.785 + 4781.17i −0.146097 + 0.855202i
\(316\) 760.652 + 457.669i 0.135411 + 0.0814743i
\(317\) −10123.8 + 1659.71i −1.79372 + 0.294065i −0.964349 0.264634i \(-0.914749\pi\)
−0.829370 + 0.558699i \(0.811301\pi\)
\(318\) −7097.23 5744.18i −1.25155 1.01295i
\(319\) −3709.92 + 1030.05i −0.651147 + 0.180790i
\(320\) 2296.98 3021.62i 0.401266 0.527856i
\(321\) 4702.74 + 4734.37i 0.817698 + 0.823198i
\(322\) 3365.77 12122.4i 0.582506 2.09800i
\(323\) 10016.4 5310.36i 1.72547 0.914787i
\(324\) 3229.03 + 4902.71i 0.553674 + 0.840657i
\(325\) 486.576 26.3814i 0.0830473 0.00450269i
\(326\) −1022.45 1928.55i −0.173706 0.327645i
\(327\) 6500.24 + 907.844i 1.09928 + 0.153529i
\(328\) 37.9191 + 49.8818i 0.00638333 + 0.00839713i
\(329\) 6714.52 + 5104.24i 1.12518 + 0.855337i
\(330\) 3469.86 1478.86i 0.578817 0.246693i
\(331\) −2479.89 + 2349.08i −0.411804 + 0.390082i −0.865364 0.501144i \(-0.832913\pi\)
0.453559 + 0.891226i \(0.350154\pi\)
\(332\) 866.697 + 5286.62i 0.143272 + 0.873918i
\(333\) 1469.20 5157.20i 0.241776 0.848687i
\(334\) 1532.42 3312.26i 0.251048 0.542631i
\(335\) 1727.29 3258.01i 0.281707 0.531356i
\(336\) 6571.51 + 4753.78i 1.06698 + 0.771846i
\(337\) −8054.50 5461.09i −1.30195 0.882743i −0.304388 0.952548i \(-0.598452\pi\)
−0.997561 + 0.0698049i \(0.977762\pi\)
\(338\) −8414.78 1852.23i −1.35415 0.298072i
\(339\) 9574.17 2346.94i 1.53392 0.376013i
\(340\) −3732.74 + 2245.91i −0.595400 + 0.358240i
\(341\) −1505.25 + 1278.57i −0.239043 + 0.203045i
\(342\) 13791.8 9216.72i 2.18063 1.45726i
\(343\) −1994.52 + 439.026i −0.313976 + 0.0691114i
\(344\) 89.0679 + 35.4879i 0.0139599 + 0.00556215i
\(345\) −4088.16 2632.45i −0.637969 0.410800i
\(346\) 2298.15 14018.1i 0.357078 2.17808i
\(347\) 1749.73 + 2580.65i 0.270692 + 0.399241i 0.938602 0.345001i \(-0.112121\pi\)
−0.667910 + 0.744242i \(0.732811\pi\)
\(348\) 5674.65 3183.25i 0.874118 0.490345i
\(349\) −1413.42 + 4194.88i −0.216787 + 0.643400i 0.782985 + 0.622040i \(0.213696\pi\)
−0.999772 + 0.0213596i \(0.993201\pi\)
\(350\) 6988.81 + 760.079i 1.06734 + 0.116080i
\(351\) −705.614 645.958i −0.107302 0.0982299i
\(352\) 343.733 6339.78i 0.0520484 0.959976i
\(353\) 7094.73 1.06973 0.534864 0.844938i \(-0.320363\pi\)
0.534864 + 0.844938i \(0.320363\pi\)
\(354\) 8002.09 + 4998.34i 1.20143 + 0.750448i
\(355\) −786.225 −0.117545
\(356\) 560.080 10330.1i 0.0833825 1.53790i
\(357\) −5053.31 7964.53i −0.749158 1.18075i
\(358\) 201.523 + 21.9170i 0.0297509 + 0.00323561i
\(359\) −1695.07 + 5030.77i −0.249198 + 0.739594i 0.747924 + 0.663784i \(0.231051\pi\)
−0.997122 + 0.0758095i \(0.975846\pi\)
\(360\) −33.4784 + 25.0973i −0.00490129 + 0.00367428i
\(361\) −9346.00 13784.3i −1.36259 2.00967i
\(362\) 987.117 6021.15i 0.143320 0.874211i
\(363\) −2019.48 + 3136.24i −0.291998 + 0.453470i
\(364\) 1252.42 + 499.010i 0.180343 + 0.0718550i
\(365\) −4955.38 + 1090.76i −0.710621 + 0.156420i
\(366\) 1777.16 + 3613.70i 0.253808 + 0.516097i
\(367\) 7158.26 6080.28i 1.01814 0.864818i 0.0272712 0.999628i \(-0.491318\pi\)
0.990871 + 0.134810i \(0.0430424\pi\)
\(368\) −6966.82 + 4191.80i −0.986877 + 0.593784i
\(369\) 2906.77 + 7440.12i 0.410082 + 1.04964i
\(370\) 5686.17 + 1251.62i 0.798946 + 0.175861i
\(371\) 8912.47 + 6042.81i 1.24720 + 0.845625i
\(372\) 1956.14 2704.12i 0.272638 0.376887i
\(373\) 579.875 1093.76i 0.0804954 0.151830i −0.839997 0.542591i \(-0.817443\pi\)
0.920492 + 0.390761i \(0.127788\pi\)
\(374\) −3079.86 + 6657.00i −0.425817 + 0.920389i
\(375\) 2974.60 6851.59i 0.409620 0.943506i
\(376\) 11.7707 + 71.7982i 0.00161444 + 0.00984763i
\(377\) −769.753 + 729.149i −0.105157 + 0.0996102i
\(378\) −8537.96 10843.2i −1.16176 1.47544i
\(379\) 671.480 + 510.446i 0.0910069 + 0.0691817i 0.649688 0.760201i \(-0.274899\pi\)
−0.558681 + 0.829382i \(0.688693\pi\)
\(380\) 5467.74 + 7192.69i 0.738130 + 0.970993i
\(381\) −403.938 + 2892.24i −0.0543160 + 0.388907i
\(382\) 5611.37 + 10584.2i 0.751578 + 1.41763i
\(383\) 12328.4 668.426i 1.64478 0.0891775i 0.791685 0.610930i \(-0.209204\pi\)
0.853097 + 0.521752i \(0.174721\pi\)
\(384\) 26.0812 + 138.428i 0.00346601 + 0.0183961i
\(385\) −3930.11 + 2083.61i −0.520251 + 0.275820i
\(386\) −3795.18 + 13669.0i −0.500439 + 1.80242i
\(387\) 9680.55 + 7461.89i 1.27155 + 0.980127i
\(388\) −2851.14 + 3750.60i −0.373053 + 0.490743i
\(389\) 4364.71 1211.86i 0.568894 0.157953i 0.0288416 0.999584i \(-0.490818\pi\)
0.540053 + 0.841631i \(0.318404\pi\)
\(390\) 653.455 807.377i 0.0848435 0.104829i
\(391\) 9331.05 1529.75i 1.20688 0.197859i
\(392\) 47.1516 + 28.3702i 0.00607530 + 0.00365539i
\(393\) −8357.33 2596.78i −1.07270 0.333309i
\(394\) −9601.21 5090.24i −1.22767 0.650869i
\(395\) −554.689 + 585.578i −0.0706568 + 0.0745914i
\(396\) −1753.22 + 5090.33i −0.222481 + 0.645957i
\(397\) 339.168 1540.86i 0.0428775 0.194795i −0.950313 0.311296i \(-0.899237\pi\)
0.993191 + 0.116501i \(0.0371680\pi\)
\(398\) −14638.5 + 1592.03i −1.84362 + 0.200505i
\(399\) −15288.5 + 12205.1i −1.91825 + 1.53137i
\(400\) −2941.25 3462.71i −0.367656 0.432838i
\(401\) −10317.4 + 3476.34i −1.28486 + 0.432918i −0.877159 0.480200i \(-0.840564\pi\)
−0.407696 + 0.913118i \(0.633668\pi\)
\(402\) 3585.23 + 9860.86i 0.444814 + 1.22342i
\(403\) −201.303 + 505.233i −0.0248825 + 0.0624503i
\(404\) 4770.49 5616.26i 0.587478 0.691632i
\(405\) −4981.16 + 1907.69i −0.611151 + 0.234059i
\(406\) −12660.6 + 8584.08i −1.54762 + 1.04931i
\(407\) 4568.50 1820.26i 0.556394 0.221688i
\(408\) 15.6008 79.8563i 0.00189303 0.00968990i
\(409\) −1468.40 + 13501.7i −0.177525 + 1.63231i 0.478862 + 0.877890i \(0.341049\pi\)
−0.656387 + 0.754424i \(0.727916\pi\)
\(410\) −7871.27 + 3641.64i −0.948132 + 0.438653i
\(411\) 12926.1 1008.94i 1.55134 0.121088i
\(412\) 4063.29i 0.485883i
\(413\) −9901.46 5076.19i −1.17971 0.604801i
\(414\) 13355.4 3611.85i 1.58546 0.428774i
\(415\) −4860.41 263.524i −0.574911 0.0311708i
\(416\) −734.130 1586.80i −0.0865233 0.187017i
\(417\) 6871.68 163.101i 0.806973 0.0191536i
\(418\) 14416.3 + 4857.42i 1.68690 + 0.568383i
\(419\) −1186.68 2978.35i −0.138361 0.347260i 0.843426 0.537246i \(-0.180535\pi\)
−0.981787 + 0.189985i \(0.939156\pi\)
\(420\) 5612.15 5001.03i 0.652012 0.581013i
\(421\) −4575.72 750.150i −0.529707 0.0868411i −0.109007 0.994041i \(-0.534767\pi\)
−0.420700 + 0.907200i \(0.638215\pi\)
\(422\) −4973.68 4224.69i −0.573733 0.487333i
\(423\) −1064.61 + 9213.84i −0.122372 + 1.05908i
\(424\) 19.9679 + 90.7149i 0.00228709 + 0.0103903i
\(425\) 1687.07 + 5007.04i 0.192553 + 0.571476i
\(426\) 1499.47 1660.16i 0.170539 0.188814i
\(427\) −2448.48 4069.41i −0.277495 0.461201i
\(428\) −1118.14 10281.1i −0.126279 1.16112i
\(429\) 74.1328 874.182i 0.00834304 0.0983820i
\(430\) −7447.46 + 10984.2i −0.835229 + 1.23187i
\(431\) 3271.07 + 3098.52i 0.365573 + 0.346289i 0.848333 0.529464i \(-0.177607\pi\)
−0.482759 + 0.875753i \(0.660365\pi\)
\(432\) −813.230 + 8882.08i −0.0905708 + 0.989211i
\(433\) 12284.5 + 5683.43i 1.36341 + 0.630782i 0.958898 0.283750i \(-0.0915786\pi\)
0.404514 + 0.914532i \(0.367441\pi\)
\(434\) −4045.11 + 6723.02i −0.447400 + 0.743584i
\(435\) 1716.30 + 5657.21i 0.189173 + 0.623545i
\(436\) −6995.06 7384.60i −0.768355 0.811142i
\(437\) −5246.48 18896.1i −0.574309 2.06848i
\(438\) 7147.57 12543.8i 0.779736 1.36842i
\(439\) 1905.14 1448.25i 0.207124 0.157451i −0.496470 0.868054i \(-0.665371\pi\)
0.703594 + 0.710603i \(0.251578\pi\)
\(440\) −36.9733 10.2656i −0.00400598 0.00111225i
\(441\) 4790.06 + 5125.19i 0.517229 + 0.553417i
\(442\) 109.353 + 2016.90i 0.0117679 + 0.217046i
\(443\) 141.775 + 2614.88i 0.0152052 + 0.280444i 0.996241 + 0.0866197i \(0.0276065\pi\)
−0.981036 + 0.193825i \(0.937911\pi\)
\(444\) −6765.90 + 4825.64i −0.723188 + 0.515799i
\(445\) 9057.07 + 2514.68i 0.964823 + 0.267882i
\(446\) 6342.94 4821.78i 0.673423 0.511923i
\(447\) −4315.24 2458.86i −0.456608 0.260179i
\(448\) −3407.35 12272.2i −0.359335 1.29421i
\(449\) −8253.55 8713.17i −0.867504 0.915813i 0.129623 0.991563i \(-0.458623\pi\)
−0.997127 + 0.0757507i \(0.975865\pi\)
\(450\) 3198.98 + 7037.92i 0.335115 + 0.737268i
\(451\) −3776.69 + 6276.90i −0.394318 + 0.655361i
\(452\) −13865.1 6414.69i −1.44283 0.667526i
\(453\) 11182.2 + 4150.74i 1.15979 + 0.430505i
\(454\) 911.629 + 863.541i 0.0942398 + 0.0892687i
\(455\) −687.427 + 1013.88i −0.0708287 + 0.104464i
\(456\) −168.149 14.2595i −0.0172682 0.00146439i
\(457\) −1363.24 12534.8i −0.139540 1.28305i −0.829214 0.558931i \(-0.811212\pi\)
0.689674 0.724120i \(-0.257754\pi\)
\(458\) 3566.98 + 5928.36i 0.363917 + 0.604834i
\(459\) 4701.91 9245.78i 0.478141 0.940209i
\(460\) 2406.13 + 7141.14i 0.243883 + 0.723820i
\(461\) −263.151 1195.50i −0.0265860 0.120781i 0.961459 0.274950i \(-0.0886612\pi\)
−0.988045 + 0.154168i \(0.950730\pi\)
\(462\) 3095.74 12272.4i 0.311746 1.23586i
\(463\) 13492.3 + 11460.5i 1.35430 + 1.15035i 0.974271 + 0.225381i \(0.0723628\pi\)
0.380032 + 0.924973i \(0.375913\pi\)
\(464\) 9755.25 + 1599.29i 0.976027 + 0.160011i
\(465\) 2017.45 + 2263.97i 0.201197 + 0.225783i
\(466\) −1008.92 2532.20i −0.100295 0.251721i
\(467\) 8347.81 + 2812.70i 0.827174 + 0.278707i 0.700874 0.713285i \(-0.252793\pi\)
0.126300 + 0.991992i \(0.459690\pi\)
\(468\) 230.040 + 1464.61i 0.0227213 + 0.144662i
\(469\) −5195.71 11230.4i −0.511547 1.10569i
\(470\) −10055.9 545.213i −0.986899 0.0535081i
\(471\) −1472.54 11085.5i −0.144057 1.08448i
\(472\) −31.8958 90.5283i −0.00311043 0.00882818i
\(473\) 11209.2i 1.08964i
\(474\) −178.592 2288.05i −0.0173059 0.221717i
\(475\) 9945.42 4601.24i 0.960689 0.444462i
\(476\) −1580.49 + 14532.4i −0.152188 + 1.39935i
\(477\) −720.330 + 11819.4i −0.0691439 + 1.13454i
\(478\) −13978.7 + 5569.60i −1.33759 + 0.532945i
\(479\) −11228.4 + 7613.02i −1.07106 + 0.726196i −0.963421 0.267994i \(-0.913639\pi\)
−0.107638 + 0.994190i \(0.534329\pi\)
\(480\) −9744.09 296.650i −0.926573 0.0282087i
\(481\) 876.717 1032.15i 0.0831078 0.0978420i
\(482\) 748.206 1877.86i 0.0707051 0.177456i
\(483\) −15334.2 + 5575.23i −1.44457 + 0.525221i
\(484\) 5478.33 1845.87i 0.514494 0.173353i
\(485\) −2771.24 3262.56i −0.259455 0.305454i
\(486\) 5471.74 14156.3i 0.510707 1.32128i
\(487\) −16274.8 + 1769.99i −1.51434 + 0.164694i −0.827230 0.561864i \(-0.810085\pi\)
−0.687106 + 0.726558i \(0.741119\pi\)
\(488\) 8.80692 40.0102i 0.000816947 0.00371143i
\(489\) −1266.29 + 2531.89i −0.117104 + 0.234143i
\(490\) −5238.07 + 5529.76i −0.482922 + 0.509815i
\(491\) 8509.15 + 4511.26i 0.782103 + 0.414645i 0.811080 0.584935i \(-0.198880\pi\)
−0.0289771 + 0.999580i \(0.509225\pi\)
\(492\) 3673.24 11821.7i 0.336590 1.08326i
\(493\) −9850.76 5927.01i −0.899911 0.541458i
\(494\) 4134.02 677.738i 0.376515 0.0617264i
\(495\) −4174.51 2549.99i −0.379051 0.231542i
\(496\) 4885.87 1356.56i 0.442303 0.122805i
\(497\) −1596.61 + 2100.30i −0.144100 + 0.189560i
\(498\) 9826.10 9760.44i 0.884172 0.878265i
\(499\) 1397.08 5031.81i 0.125334 0.451412i −0.874075 0.485791i \(-0.838532\pi\)
0.999409 + 0.0343789i \(0.0109453\pi\)
\(500\) −10227.5 + 5422.27i −0.914774 + 0.484983i
\(501\) −4651.28 + 876.348i −0.414779 + 0.0781484i
\(502\) 19727.3 1069.58i 1.75393 0.0950954i
\(503\) −8559.02 16144.0i −0.758703 1.43107i −0.897624 0.440762i \(-0.854708\pi\)
0.138921 0.990303i \(-0.455637\pi\)
\(504\) −0.941242 + 140.399i −8.31870e−5 + 0.0124085i
\(505\) 4051.85 + 5330.12i 0.357040 + 0.469678i
\(506\) 10100.9 + 7678.49i 0.887428 + 0.674605i
\(507\) 4381.21 + 10279.6i 0.383780 + 0.900464i
\(508\) 3285.72 3112.40i 0.286969 0.271832i
\(509\) −2185.75 13332.5i −0.190337 1.16101i −0.893193 0.449674i \(-0.851540\pi\)
0.702855 0.711333i \(-0.251908\pi\)
\(510\) 10330.7 + 4485.05i 0.896964 + 0.389414i
\(511\) −7149.18 + 15452.7i −0.618907 + 1.33774i
\(512\) −7686.06 + 14497.5i −0.663436 + 1.25137i
\(513\) −20117.7 7621.34i −1.73142 0.655926i
\(514\) 3147.89 + 2134.32i 0.270131 + 0.183154i
\(515\) 3605.59 + 793.651i 0.308508 + 0.0679077i
\(516\) −4509.86 18397.6i −0.384758 1.56959i
\(517\) −7288.53 + 4385.36i −0.620018 + 0.373052i
\(518\) 14890.6 12648.2i 1.26304 1.07284i
\(519\) −16531.7 + 8130.05i −1.39819 + 0.687610i
\(520\) −10.3197 + 2.27153i −0.000870284 + 0.000191564i
\(521\) −16233.0 6467.81i −1.36503 0.543877i −0.431413 0.902154i \(-0.641985\pi\)
−0.933615 + 0.358277i \(0.883364\pi\)
\(522\) −15218.8 7165.21i −1.27607 0.600791i
\(523\) 635.451 3876.08i 0.0531288 0.324071i −0.946868 0.321622i \(-0.895772\pi\)
0.999997 0.00244939i \(-0.000779665\pi\)
\(524\) 7611.27 + 11225.8i 0.634542 + 0.935879i
\(525\) −4460.52 7951.57i −0.370805 0.661019i
\(526\) −4963.09 + 14729.9i −0.411409 + 1.22102i
\(527\) −5862.43 637.578i −0.484576 0.0527008i
\(528\) −6906.81 + 4382.20i −0.569281 + 0.361195i
\(529\) 226.812 4183.30i 0.0186416 0.343823i
\(530\) −12856.9 −1.05371
\(531\) −748.594 12213.1i −0.0611793 0.998127i
\(532\) 30317.8 2.47076
\(533\) −109.213 + 2014.31i −0.00887528 + 0.163695i
\(534\) −22583.3 + 14328.6i −1.83010 + 1.16116i
\(535\) 9341.45 + 1015.94i 0.754890 + 0.0820993i
\(536\) 34.0826 101.154i 0.00274654 0.00815144i
\(537\) −128.620 229.284i −0.0103358 0.0184252i
\(538\) −5476.84 8077.74i −0.438891 0.647316i
\(539\) −1040.82 + 6348.75i −0.0831753 + 0.507347i
\(540\) 7877.54 + 2505.73i 0.627769 + 0.199684i
\(541\) 12506.5 + 4983.05i 0.993894 + 0.396004i 0.809673 0.586881i \(-0.199644\pi\)
0.184221 + 0.982885i \(0.441024\pi\)
\(542\) −18634.0 + 4101.65i −1.47675 + 0.325057i
\(543\) −7100.83 + 3492.08i −0.561189 + 0.275984i
\(544\) 14448.7 12272.9i 1.13876 0.967270i
\(545\) 7919.08 4764.75i 0.622415 0.374494i
\(546\) −829.818 3385.18i −0.0650420 0.265334i
\(547\) −2284.13 502.775i −0.178542 0.0393000i 0.124800 0.992182i \(-0.460171\pi\)
−0.303341 + 0.952882i \(0.598102\pi\)
\(548\) −16631.2 11276.2i −1.29644 0.879007i
\(549\) 2477.23 4597.80i 0.192578 0.357430i
\(550\) −3320.95 + 6263.97i −0.257465 + 0.485630i
\(551\) −10011.6 + 21639.8i −0.774065 + 1.67311i
\(552\) −129.106 56.0508i −0.00995490 0.00432189i
\(553\) 437.876 + 2670.93i 0.0336716 + 0.205388i
\(554\) 18981.2 17979.9i 1.45565 1.37887i
\(555\) −2960.54 6946.34i −0.226429 0.531271i
\(556\) −8480.43 6446.65i −0.646853 0.491725i
\(557\) −11373.5 14961.6i −0.865192 1.13814i −0.989303 0.145872i \(-0.953401\pi\)
0.124112 0.992268i \(-0.460392\pi\)
\(558\) −8628.12 57.8434i −0.654583 0.00438836i
\(559\) 1445.86 + 2727.19i 0.109398 + 0.206346i
\(560\) 11404.1 618.313i 0.860557 0.0466580i
\(561\) 9348.18 1761.29i 0.703530 0.132552i
\(562\) 11513.9 6104.30i 0.864210 0.458175i
\(563\) 653.167 2352.49i 0.0488947 0.176103i −0.935071 0.354460i \(-0.884665\pi\)
0.983966 + 0.178358i \(0.0570784\pi\)
\(564\) 10198.2 10130.1i 0.761388 0.756301i
\(565\) 8400.30 11050.4i 0.625492 0.822821i
\(566\) 6406.26 1778.69i 0.475751 0.132092i
\(567\) −5019.21 + 17180.5i −0.371758 + 1.27251i
\(568\) −22.4585 + 3.68188i −0.00165904 + 0.000271986i
\(569\) 14229.9 + 8561.82i 1.04841 + 0.630809i 0.932025 0.362395i \(-0.118041\pi\)
0.116388 + 0.993204i \(0.462868\pi\)
\(570\) 6930.91 22306.0i 0.509305 1.63912i
\(571\) −20345.7 10786.6i −1.49114 0.790551i −0.494244 0.869323i \(-0.664555\pi\)
−0.996893 + 0.0787721i \(0.974900\pi\)
\(572\) −935.028 + 987.097i −0.0683488 + 0.0721549i
\(573\) 6949.62 13895.4i 0.506674 1.01307i
\(574\) −6256.21 + 28422.2i −0.454929 + 2.06676i
\(575\) 9086.10 988.173i 0.658985 0.0716690i
\(576\) 9699.93 10103.6i 0.701673 0.730870i
\(577\) −15196.0 17890.1i −1.09639 1.29077i −0.953620 0.301014i \(-0.902675\pi\)
−0.142770 0.989756i \(-0.545601\pi\)
\(578\) −2100.67 + 707.797i −0.151170 + 0.0509351i
\(579\) 17290.5 6286.52i 1.24105 0.451224i
\(580\) 3391.20 8511.28i 0.242779 0.609330i
\(581\) −10574.1 + 12448.8i −0.755058 + 0.888923i
\(582\) 12174.3 + 370.635i 0.867081 + 0.0263975i
\(583\) −8988.33 + 6094.24i −0.638522 + 0.432929i
\(584\) −136.442 + 54.3635i −0.00966783 + 0.00385202i
\(585\) −1344.57 81.9443i −0.0950276 0.00579142i
\(586\) −1806.04 + 16606.3i −0.127316 + 1.17065i
\(587\) −11458.6 + 5301.29i −0.805699 + 0.372756i −0.779107 0.626890i \(-0.784327\pi\)
−0.0265913 + 0.999646i \(0.508465\pi\)
\(588\) −846.022 10838.9i −0.0593356 0.760186i
\(589\) 12230.4i 0.855593i
\(590\) 13186.6 1617.96i 0.920142 0.112899i
\(591\) 1855.80 + 13970.8i 0.129167 + 0.972388i
\(592\) −12607.8 683.574i −0.875299 0.0474573i
\(593\) −4688.47 10134.0i −0.324675 0.701774i 0.674664 0.738125i \(-0.264289\pi\)
−0.999339 + 0.0363512i \(0.988427\pi\)
\(594\) 13346.0 3951.43i 0.921870 0.272944i
\(595\) −12586.7 4240.95i −0.867235 0.292205i
\(596\) 2849.00 + 7150.46i 0.195805 + 0.491433i
\(597\) 12704.7 + 14257.2i 0.870970 + 0.977401i
\(598\) 3447.96 + 565.265i 0.235782 + 0.0386545i
\(599\) 1547.33 + 1314.32i 0.105547 + 0.0896521i 0.698606 0.715507i \(-0.253804\pi\)
−0.593059 + 0.805159i \(0.702080\pi\)
\(600\) 19.2363 76.2586i 0.00130886 0.00518874i
\(601\) 4639.73 + 21078.5i 0.314906 + 1.43063i 0.822367 + 0.568957i \(0.192653\pi\)
−0.507461 + 0.861675i \(0.669416\pi\)
\(602\) 14219.1 + 42200.8i 0.962670 + 2.85710i
\(603\) 7711.72 11211.4i 0.520805 0.757152i
\(604\) −9530.16 15839.2i −0.642014 1.06704i
\(605\) 567.903 + 5221.78i 0.0381629 + 0.350902i
\(606\) −18982.4 1609.76i −1.27246 0.107907i
\(607\) 7252.99 10697.4i 0.484992 0.715309i −0.503931 0.863744i \(-0.668113\pi\)
0.988922 + 0.148435i \(0.0474236\pi\)
\(608\) −28544.7 27038.9i −1.90401 1.80358i
\(609\) 18597.8 + 6903.34i 1.23747 + 0.459339i
\(610\) 5146.50 + 2381.02i 0.341599 + 0.158041i
\(611\) −1207.63 + 2007.09i −0.0799596 + 0.132894i
\(612\) −14634.5 + 6651.89i −0.966607 + 0.439357i
\(613\) 6580.38 + 6946.82i 0.433571 + 0.457715i 0.905766 0.423779i \(-0.139297\pi\)
−0.472195 + 0.881494i \(0.656538\pi\)
\(614\) 4977.82 + 17928.5i 0.327180 + 1.17839i
\(615\) 9772.65 + 5568.53i 0.640766 + 0.365113i
\(616\) −102.506 + 77.9228i −0.00670466 + 0.00509675i
\(617\) −25594.4 7106.25i −1.67000 0.463674i −0.701498 0.712671i \(-0.747485\pi\)
−0.968504 + 0.248998i \(0.919899\pi\)
\(618\) −8552.33 + 6099.78i −0.556675 + 0.397037i
\(619\) −435.699 8036.00i −0.0282912 0.521800i −0.977992 0.208642i \(-0.933096\pi\)
0.949701 0.313158i \(-0.101387\pi\)
\(620\) −254.431 4692.70i −0.0164809 0.303973i
\(621\) −13871.1 11381.4i −0.896342 0.735459i
\(622\) 20208.0 + 5610.74i 1.30268 + 0.361688i
\(623\) 25110.1 19088.2i 1.61479 1.22753i
\(624\) −1115.16 + 1957.08i −0.0715419 + 0.125555i
\(625\) −424.014 1527.16i −0.0271369 0.0977383i
\(626\) −10114.2 10677.4i −0.645757 0.681717i
\(627\) −5727.73 18879.5i −0.364822 1.20251i
\(628\) −8935.01 + 14850.1i −0.567748 + 0.943605i
\(629\) 13326.7 + 6165.59i 0.844786 + 0.390840i
\(630\) −18951.0 4304.83i −1.19845 0.272236i
\(631\) 12298.8 + 11650.0i 0.775922 + 0.734992i 0.969233 0.246145i \(-0.0791640\pi\)
−0.193311 + 0.981138i \(0.561923\pi\)
\(632\) −13.1024 + 19.3246i −0.000824660 + 0.00121628i
\(633\) −715.137 + 8432.97i −0.0449038 + 0.529511i
\(634\) −4444.07 40862.5i −0.278386 2.55971i
\(635\) 2120.04 + 3523.53i 0.132490 + 0.220200i
\(636\) 12300.6 13618.7i 0.766901 0.849085i
\(637\) 565.686 + 1678.90i 0.0351857 + 0.104427i
\(638\) −3316.24 15065.8i −0.205785 0.934893i
\(639\) −2882.09 333.011i −0.178425 0.0206161i
\(640\) 151.177 + 128.411i 0.00933721 + 0.00793109i
\(641\) 7495.57 + 1228.84i 0.461868 + 0.0757194i 0.388224 0.921565i \(-0.373089\pi\)
0.0736441 + 0.997285i \(0.476537\pi\)
\(642\) −19961.0 + 17787.4i −1.22710 + 1.09348i
\(643\) 6228.56 + 15632.5i 0.382007 + 0.958765i 0.986736 + 0.162333i \(0.0519020\pi\)
−0.604729 + 0.796431i \(0.706719\pi\)
\(644\) 23962.8 + 8074.01i 1.46625 + 0.494038i
\(645\) 17206.2 408.391i 1.05038 0.0249308i
\(646\) 19072.6 + 41224.8i 1.16161 + 2.51078i
\(647\) −2430.88 131.798i −0.147709 0.00800854i −0.0198638 0.999803i \(-0.506323\pi\)
−0.127845 + 0.991794i \(0.540806\pi\)
\(648\) −133.353 + 77.8198i −0.00808425 + 0.00471767i
\(649\) 8451.89 7381.63i 0.511195 0.446463i
\(650\) 1952.38i 0.117813i
\(651\) 10144.8 791.842i 0.610761 0.0476724i
\(652\) 3981.75 1842.16i 0.239168 0.110651i
\(653\) 3041.45 27965.6i 0.182268 1.67593i −0.443776 0.896138i \(-0.646361\pi\)
0.626044 0.779788i \(-0.284673\pi\)
\(654\) −5042.02 + 25808.8i −0.301466 + 1.54312i
\(655\) −11447.9 + 4561.28i −0.682913 + 0.272098i
\(656\) 15567.2 10554.8i 0.926521 0.628197i
\(657\) −18627.1 + 1899.56i −1.10611 + 0.112799i
\(658\) −21877.1 + 25755.8i −1.29614 + 1.52593i
\(659\) −5050.61 + 12676.1i −0.298549 + 0.749302i 0.700804 + 0.713353i \(0.252825\pi\)
−0.999354 + 0.0359485i \(0.988555\pi\)
\(660\) 2590.43 + 7124.76i 0.152777 + 0.420198i
\(661\) −23915.1 + 8057.92i −1.40724 + 0.474156i −0.917509 0.397716i \(-0.869803\pi\)
−0.489735 + 0.871871i \(0.662906\pi\)
\(662\) −8860.10 10430.9i −0.520178 0.612400i
\(663\) 2047.21 1634.33i 0.119920 0.0957346i
\(664\) −140.071 + 15.2337i −0.00818648 + 0.000890333i
\(665\) −5921.75 + 26902.8i −0.345317 + 1.56879i
\(666\) 20313.8 + 6996.52i 1.18190 + 0.407072i
\(667\) −13676.0 + 14437.6i −0.793909 + 0.838119i
\(668\) 6480.80 + 3435.90i 0.375374 + 0.199010i
\(669\) −9867.76 3066.10i −0.570269 0.177193i
\(670\) 12659.7 + 7617.11i 0.729983 + 0.439216i
\(671\) 4726.56 774.880i 0.271932 0.0445811i
\(672\) −20580.0 + 25427.7i −1.18139 + 1.45966i
\(673\) 18324.8 5087.87i 1.04958 0.291416i 0.300425 0.953805i \(-0.402871\pi\)
0.749160 + 0.662390i \(0.230458\pi\)
\(674\) 23595.4 31039.3i 1.34846 1.77387i
\(675\) 5021.98 8677.70i 0.286364 0.494822i
\(676\) 4632.98 16686.5i 0.263597 0.949391i
\(677\) −29618.2 + 15702.6i −1.68142 + 0.891432i −0.696683 + 0.717379i \(0.745342\pi\)
−0.984736 + 0.174054i \(0.944313\pi\)
\(678\) 7312.71 + 38812.7i 0.414222 + 2.19852i
\(679\) −14343.1 + 777.662i −0.810661 + 0.0439527i
\(680\) −53.6672 101.227i −0.00302653 0.00570865i
\(681\) 225.256 1612.85i 0.0126752 0.0907558i
\(682\) −4788.70 6299.42i −0.268869 0.353691i
\(683\) 19566.7 + 14874.2i 1.09619 + 0.833302i 0.987000 0.160719i \(-0.0513814\pi\)
0.109189 + 0.994021i \(0.465174\pi\)
\(684\) 16996.8 + 28682.4i 0.950127 + 1.60336i
\(685\) 13254.5 12555.3i 0.739311 0.700312i
\(686\) −1323.79 8074.75i −0.0736770 0.449410i
\(687\) 3573.32 8230.67i 0.198443 0.457088i
\(688\) 12084.2 26119.5i 0.669630 1.44738i
\(689\) −1400.76 + 2642.11i −0.0774523 + 0.146091i
\(690\) 11418.5 15784.6i 0.629991 0.870884i
\(691\) 13527.6 + 9171.91i 0.744736 + 0.504943i 0.873555 0.486725i \(-0.161809\pi\)
−0.128820 + 0.991668i \(0.541119\pi\)
\(692\) 27883.5 + 6137.62i 1.53175 + 0.337164i
\(693\) −15289.2 + 5973.33i −0.838081 + 0.327429i
\(694\) −10704.0 + 6440.40i −0.585474 + 0.352268i
\(695\) 7376.91 6266.00i 0.402622 0.341990i
\(696\) 75.5185 + 153.560i 0.00411282 + 0.00836305i
\(697\) −21361.6 + 4702.04i −1.16087 + 0.255527i
\(698\) −16476.0 6564.62i −0.893445 0.355981i
\(699\) −1913.85 + 2972.19i −0.103560 + 0.160828i
\(700\) −2285.92 + 13943.5i −0.123428 + 0.752878i
\(701\) −15149.5 22343.8i −0.816246 1.20387i −0.976226 0.216753i \(-0.930453\pi\)
0.159980 0.987120i \(-0.448857\pi\)
\(702\) 2737.36 2682.85i 0.147172 0.144242i
\(703\) 9724.10 28860.1i 0.521695 1.54833i
\(704\) 12769.5 + 1388.77i 0.683621 + 0.0743482i
\(705\) 6997.08 + 11028.1i 0.373795 + 0.589139i
\(706\) −1538.94 + 28384.1i −0.0820379 + 1.51310i
\(707\) 22466.9 1.19513
\(708\) −10902.2 + 15515.9i −0.578712 + 0.823621i
\(709\) 10208.3 0.540736 0.270368 0.962757i \(-0.412855\pi\)
0.270368 + 0.962757i \(0.412855\pi\)
\(710\) 170.543 3145.47i 0.00901457 0.166264i
\(711\) −2281.36 + 1911.63i −0.120335 + 0.100832i
\(712\) 270.491 + 29.4176i 0.0142374 + 0.00154842i
\(713\) −3257.10 + 9666.74i −0.171079 + 0.507745i
\(714\) 32960.0 18489.3i 1.72759 0.969109i
\(715\) −693.277 1022.51i −0.0362617 0.0534820i
\(716\) −65.9147 + 402.062i −0.00344043 + 0.0209857i
\(717\) 16407.6 + 10565.2i 0.854605 + 0.550297i
\(718\) −19759.1 7872.73i −1.02702 0.409203i
\(719\) −10215.6 + 2248.61i −0.529869 + 0.116633i −0.471844 0.881682i \(-0.656411\pi\)
−0.0580252 + 0.998315i \(0.518480\pi\)
\(720\) 6978.33 + 10442.3i 0.361204 + 0.540502i
\(721\) 9442.10 8020.19i 0.487715 0.414269i
\(722\) 57174.6 34400.8i 2.94711 1.77322i
\(723\) −2546.19 + 624.155i −0.130974 + 0.0321059i
\(724\) 11976.7 + 2636.28i 0.614795 + 0.135327i
\(725\) −9197.50 6236.06i −0.471154 0.319450i
\(726\) −12109.2 8759.69i −0.619027 0.447800i
\(727\) 14676.1 27682.1i 0.748702 1.41220i −0.156699 0.987646i \(-0.550085\pi\)
0.905402 0.424556i \(-0.139570\pi\)
\(728\) −14.8883 + 32.1805i −0.000757963 + 0.00163831i
\(729\) −19067.6 + 4883.29i −0.968735 + 0.248097i
\(730\) −3288.95 20061.7i −0.166753 1.01715i
\(731\) −24298.5 + 23016.8i −1.22943 + 1.16458i
\(732\) −7445.91 + 3173.46i −0.375968 + 0.160238i
\(733\) −17155.8 13041.5i −0.864483 0.657163i 0.0759616 0.997111i \(-0.475797\pi\)
−0.940444 + 0.339948i \(0.889590\pi\)
\(734\) 22772.8 + 29957.1i 1.14518 + 1.50646i
\(735\) 9783.26 + 1366.36i 0.490967 + 0.0685700i
\(736\) −15360.5 28973.0i −0.769289 1.45103i
\(737\) 12461.0 675.617i 0.622806 0.0337675i
\(738\) −30396.4 + 10015.3i −1.51613 + 0.499552i
\(739\) 12287.1 6514.20i 0.611620 0.324261i −0.133644 0.991029i \(-0.542668\pi\)
0.745265 + 0.666769i \(0.232323\pi\)
\(740\) −3130.68 + 11275.7i −0.155522 + 0.560138i
\(741\) −3828.79 3854.54i −0.189817 0.191093i
\(742\) −26108.8 + 34345.6i −1.29176 + 1.69928i
\(743\) −14201.9 + 3943.14i −0.701235 + 0.194697i −0.599806 0.800146i \(-0.704755\pi\)
−0.101430 + 0.994843i \(0.532342\pi\)
\(744\) 68.2303 + 55.2225i 0.00336216 + 0.00272118i
\(745\) −6901.49 + 1131.44i −0.339398 + 0.0556414i
\(746\) 4250.05 + 2557.17i 0.208586 + 0.125502i
\(747\) −17705.3 3024.66i −0.867208 0.148148i
\(748\) −13025.1 6905.49i −0.636693 0.337553i
\(749\) 21683.9 22891.4i 1.05783 1.11673i
\(750\) 26766.1 + 13386.7i 1.30315 + 0.651753i
\(751\) 1180.88 5364.80i 0.0573781 0.260671i −0.939195 0.343383i \(-0.888427\pi\)
0.996574 + 0.0827117i \(0.0263581\pi\)
\(752\) 21711.3 2361.24i 1.05283 0.114502i
\(753\) −15985.4 20023.8i −0.773624 0.969065i
\(754\) −2750.15 3237.73i −0.132831 0.156381i
\(755\) 15916.5 5362.91i 0.767235 0.258512i
\(756\) 22690.8 15955.4i 1.09161 0.767581i
\(757\) 12896.4 32367.5i 0.619190 1.55405i −0.199551 0.979887i \(-0.563948\pi\)
0.818741 0.574163i \(-0.194672\pi\)
\(758\) −2187.81 + 2575.69i −0.104835 + 0.123421i
\(759\) 500.729 16447.5i 0.0239464 0.786569i
\(760\) −196.680 + 133.352i −0.00938728 + 0.00636473i
\(761\) 19569.6 7797.23i 0.932190 0.371419i 0.145917 0.989297i \(-0.453387\pi\)
0.786274 + 0.617878i \(0.212008\pi\)
\(762\) −11483.4 2243.41i −0.545932 0.106654i
\(763\) 3353.04 30830.7i 0.159093 1.46284i
\(764\) −21852.5 + 10110.0i −1.03481 + 0.478755i
\(765\) −3044.17 14285.3i −0.143872 0.675145i
\(766\) 49467.5i 2.33333i
\(767\) 1104.19 2886.14i 0.0519815 0.135870i
\(768\) 20816.5 2765.16i 0.978063 0.129921i
\(769\) 19623.0 + 1063.93i 0.920187 + 0.0498911i 0.508143 0.861273i \(-0.330332\pi\)
0.412044 + 0.911164i \(0.364815\pi\)
\(770\) −7483.47 16175.2i −0.350241 0.757033i
\(771\) −117.038 4931.01i −0.00546697 0.230332i
\(772\) −27020.0 9104.10i −1.25968 0.424435i
\(773\) 11134.9 + 27946.4i 0.518102