Properties

Label 177.4.e.a.7.5
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 7.5
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.a.76.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.59837 - 2.35742i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-0.0415309 + 0.104235i) q^{4} +(14.5110 - 6.71353i) q^{5} +(7.32148 - 4.40519i) q^{6} +(0.937125 - 3.37522i) q^{7} +(-21.9407 + 4.82952i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-1.59837 - 2.35742i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-0.0415309 + 0.104235i) q^{4} +(14.5110 - 6.71353i) q^{5} +(7.32148 - 4.40519i) q^{6} +(0.937125 - 3.37522i) q^{7} +(-21.9407 + 4.82952i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(-39.0206 - 23.4779i) q^{10} +(10.9330 - 10.3563i) q^{11} +(-0.305500 - 0.141340i) q^{12} +(83.7523 - 9.10861i) q^{13} +(-9.45468 + 3.18565i) q^{14} +(17.7542 + 44.5597i) q^{15} +(47.1062 + 44.6214i) q^{16} +(-3.89572 - 14.0311i) q^{17} +(12.0071 + 22.6477i) q^{18} +(-83.9359 + 63.8064i) q^{19} +(0.0971255 + 1.79138i) q^{20} +(9.95860 + 3.35544i) q^{21} +(-41.8892 - 9.22051i) q^{22} +(61.5381 - 116.073i) q^{23} +(-10.9038 - 66.5100i) q^{24} +(84.5758 - 99.5703i) q^{25} +(-155.340 - 182.880i) q^{26} +(4.36811 - 26.6443i) q^{27} +(0.312896 + 0.237857i) q^{28} +(141.278 - 208.369i) q^{29} +(76.6680 - 113.077i) q^{30} +(-220.137 - 167.344i) q^{31} +(0.821431 - 5.01051i) q^{32} +(29.2477 + 34.4330i) q^{33} +(-26.8504 + 31.6107i) q^{34} +(-9.06096 - 55.2694i) q^{35} +(0.473015 - 0.892201i) q^{36} +(-114.804 - 25.2703i) q^{37} +(284.579 + 95.8858i) q^{38} +(13.6830 + 252.368i) q^{39} +(-285.960 + 217.381i) q^{40} +(-100.801 - 190.131i) q^{41} +(-8.00734 - 28.8398i) q^{42} +(-179.351 - 169.890i) q^{43} +(0.625430 + 1.56971i) q^{44} +(-136.367 + 45.9473i) q^{45} +(-371.994 + 40.4567i) q^{46} +(301.937 + 139.691i) q^{47} +(-141.319 + 133.864i) q^{48} +(283.388 + 170.509i) q^{49} +(-369.912 - 40.2304i) q^{50} +(42.6643 - 9.39112i) q^{51} +(-2.52888 + 9.10819i) q^{52} +(-12.7283 + 7.65835i) q^{53} +(-69.7937 + 32.2900i) q^{54} +(89.1224 - 223.680i) q^{55} +(-4.26052 + 78.5806i) q^{56} +(-177.506 - 261.802i) q^{57} -717.028 q^{58} +(441.303 - 103.105i) q^{59} -5.38202 q^{60} +(441.142 + 650.636i) q^{61} +(-42.6391 + 786.432i) q^{62} +(-11.6690 + 29.2870i) q^{63} +(457.980 - 211.884i) q^{64} +(1154.18 - 694.449i) q^{65} +(34.4245 - 123.986i) q^{66} +(-441.588 + 97.2008i) q^{67} +(1.62432 + 0.176656i) q^{68} +(337.714 + 203.196i) q^{69} +(-115.810 + 109.701i) q^{70} +(-128.775 - 59.5778i) q^{71} +(201.008 - 21.8610i) q^{72} +(-650.212 + 219.082i) q^{73} +(123.927 + 311.032i) q^{74} +(284.536 + 269.527i) q^{75} +(-3.16491 - 11.3990i) q^{76} +(-24.7092 - 46.6066i) q^{77} +(573.066 - 435.633i) q^{78} +(38.7863 + 715.371i) q^{79} +(983.128 + 331.254i) q^{80} +(79.1063 + 17.4126i) q^{81} +(-287.102 + 541.531i) q^{82} +(-101.741 - 620.592i) q^{83} +(-0.763344 + 0.898678i) q^{84} +(-150.729 - 177.452i) q^{85} +(-113.833 + 694.353i) q^{86} +(601.246 + 457.055i) q^{87} +(-189.863 + 280.026i) q^{88} +(-83.2418 + 122.772i) q^{89} +(326.281 + 248.032i) q^{90} +(47.7428 - 291.218i) q^{91} +(9.54313 + 11.2350i) q^{92} +(537.049 - 632.263i) q^{93} +(-153.297 - 935.068i) q^{94} +(-789.632 + 1489.40i) q^{95} +(14.8761 + 3.27447i) q^{96} +(889.351 + 299.657i) q^{97} +(-50.9979 - 940.601i) q^{98} +(-107.898 + 82.0219i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59837 2.35742i −0.565109 0.833473i 0.432568 0.901601i \(-0.357608\pi\)
−0.997677 + 0.0681283i \(0.978297\pi\)
\(3\) −0.162417 + 2.99560i −0.0312571 + 0.576504i
\(4\) −0.0415309 + 0.104235i −0.00519137 + 0.0130293i
\(5\) 14.5110 6.71353i 1.29791 0.600476i 0.355417 0.934708i \(-0.384339\pi\)
0.942491 + 0.334232i \(0.108477\pi\)
\(6\) 7.32148 4.40519i 0.498164 0.299735i
\(7\) 0.937125 3.37522i 0.0506000 0.182245i −0.933932 0.357452i \(-0.883646\pi\)
0.984532 + 0.175207i \(0.0560595\pi\)
\(8\) −21.9407 + 4.82952i −0.969652 + 0.213437i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) −39.0206 23.4779i −1.23394 0.742437i
\(11\) 10.9330 10.3563i 0.299676 0.283868i −0.523055 0.852299i \(-0.675208\pi\)
0.822731 + 0.568431i \(0.192449\pi\)
\(12\) −0.305500 0.141340i −0.00734920 0.00340010i
\(13\) 83.7523 9.10861i 1.78682 0.194329i 0.845990 0.533199i \(-0.179010\pi\)
0.940833 + 0.338870i \(0.110045\pi\)
\(14\) −9.45468 + 3.18565i −0.180491 + 0.0608144i
\(15\) 17.7542 + 44.5597i 0.305608 + 0.767017i
\(16\) 47.1062 + 44.6214i 0.736035 + 0.697209i
\(17\) −3.89572 14.0311i −0.0555794 0.200179i 0.930548 0.366171i \(-0.119331\pi\)
−0.986127 + 0.165992i \(0.946918\pi\)
\(18\) 12.0071 + 22.6477i 0.157227 + 0.296562i
\(19\) −83.9359 + 63.8064i −1.01348 + 0.770431i −0.973481 0.228768i \(-0.926530\pi\)
−0.0400038 + 0.999200i \(0.512737\pi\)
\(20\) 0.0971255 + 1.79138i 0.00108590 + 0.0200282i
\(21\) 9.95860 + 3.35544i 0.103483 + 0.0348675i
\(22\) −41.8892 9.22051i −0.405946 0.0893554i
\(23\) 61.5381 116.073i 0.557895 1.05230i −0.430812 0.902442i \(-0.641773\pi\)
0.988707 0.149860i \(-0.0478822\pi\)
\(24\) −10.9038 66.5100i −0.0927384 0.565679i
\(25\) 84.5758 99.5703i 0.676606 0.796563i
\(26\) −155.340 182.880i −1.17172 1.37945i
\(27\) 4.36811 26.6443i 0.0311350 0.189915i
\(28\) 0.312896 + 0.237857i 0.00211185 + 0.00160538i
\(29\) 141.278 208.369i 0.904644 1.33425i −0.0375901 0.999293i \(-0.511968\pi\)
0.942234 0.334956i \(-0.108722\pi\)
\(30\) 76.6680 113.077i 0.466587 0.688164i
\(31\) −220.137 167.344i −1.27541 0.969542i −0.999966 0.00822562i \(-0.997382\pi\)
−0.275445 0.961317i \(-0.588825\pi\)
\(32\) 0.821431 5.01051i 0.00453781 0.0276794i
\(33\) 29.2477 + 34.4330i 0.154284 + 0.181637i
\(34\) −26.8504 + 31.6107i −0.135435 + 0.159447i
\(35\) −9.06096 55.2694i −0.0437595 0.266921i
\(36\) 0.473015 0.892201i 0.00218989 0.00413056i
\(37\) −114.804 25.2703i −0.510099 0.112281i −0.0475391 0.998869i \(-0.515138\pi\)
−0.462560 + 0.886588i \(0.653069\pi\)
\(38\) 284.579 + 95.8858i 1.21486 + 0.409335i
\(39\) 13.6830 + 252.368i 0.0561803 + 1.03618i
\(40\) −285.960 + 217.381i −1.13036 + 0.859274i
\(41\) −100.801 190.131i −0.383964 0.724233i 0.613912 0.789374i \(-0.289595\pi\)
−0.997876 + 0.0651415i \(0.979250\pi\)
\(42\) −8.00734 28.8398i −0.0294181 0.105954i
\(43\) −179.351 169.890i −0.636065 0.602512i 0.300171 0.953885i \(-0.402956\pi\)
−0.936236 + 0.351373i \(0.885715\pi\)
\(44\) 0.625430 + 1.56971i 0.00214289 + 0.00537824i
\(45\) −136.367 + 45.9473i −0.451741 + 0.152209i
\(46\) −371.994 + 40.4567i −1.19234 + 0.129674i
\(47\) 301.937 + 139.691i 0.937064 + 0.433532i 0.828142 0.560519i \(-0.189398\pi\)
0.108922 + 0.994050i \(0.465260\pi\)
\(48\) −141.319 + 133.864i −0.424950 + 0.402534i
\(49\) 283.388 + 170.509i 0.826204 + 0.497111i
\(50\) −369.912 40.2304i −1.04627 0.113789i
\(51\) 42.6643 9.39112i 0.117141 0.0257847i
\(52\) −2.52888 + 9.10819i −0.00674408 + 0.0242900i
\(53\) −12.7283 + 7.65835i −0.0329880 + 0.0198482i −0.531952 0.846774i \(-0.678541\pi\)
0.498964 + 0.866623i \(0.333714\pi\)
\(54\) −69.7937 + 32.2900i −0.175884 + 0.0813724i
\(55\) 89.1224 223.680i 0.218496 0.548383i
\(56\) −4.26052 + 78.5806i −0.0101667 + 0.187514i
\(57\) −177.506 261.802i −0.412478 0.608359i
\(58\) −717.028 −1.62328
\(59\) 441.303 103.105i 0.973776 0.227511i
\(60\) −5.38202 −0.0115803
\(61\) 441.142 + 650.636i 0.925942 + 1.36566i 0.930743 + 0.365673i \(0.119161\pi\)
−0.00480164 + 0.999988i \(0.501528\pi\)
\(62\) −42.6391 + 786.432i −0.0873414 + 1.61092i
\(63\) −11.6690 + 29.2870i −0.0233358 + 0.0585685i
\(64\) 457.980 211.884i 0.894492 0.413836i
\(65\) 1154.18 694.449i 2.20244 1.32517i
\(66\) 34.4245 123.986i 0.0642024 0.231236i
\(67\) −441.588 + 97.2008i −0.805202 + 0.177238i −0.598455 0.801156i \(-0.704219\pi\)
−0.206746 + 0.978395i \(0.566287\pi\)
\(68\) 1.62432 + 0.176656i 0.00289673 + 0.000315039i
\(69\) 337.714 + 203.196i 0.589217 + 0.354520i
\(70\) −115.810 + 109.701i −0.197743 + 0.187312i
\(71\) −128.775 59.5778i −0.215251 0.0995858i 0.309301 0.950964i \(-0.399905\pi\)
−0.524552 + 0.851379i \(0.675767\pi\)
\(72\) 201.008 21.8610i 0.329015 0.0357825i
\(73\) −650.212 + 219.082i −1.04249 + 0.351255i −0.787905 0.615797i \(-0.788834\pi\)
−0.254581 + 0.967051i \(0.581938\pi\)
\(74\) 123.927 + 311.032i 0.194678 + 0.488605i
\(75\) 284.536 + 269.527i 0.438072 + 0.414964i
\(76\) −3.16491 11.3990i −0.00477684 0.0172046i
\(77\) −24.7092 46.6066i −0.0365699 0.0689781i
\(78\) 573.066 435.633i 0.831884 0.632382i
\(79\) 38.7863 + 715.371i 0.0552379 + 1.01880i 0.886443 + 0.462838i \(0.153169\pi\)
−0.831205 + 0.555966i \(0.812348\pi\)
\(80\) 983.128 + 331.254i 1.37396 + 0.462942i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) −287.102 + 541.531i −0.386647 + 0.729294i
\(83\) −101.741 620.592i −0.134548 0.820708i −0.964735 0.263223i \(-0.915215\pi\)
0.830187 0.557485i \(-0.188234\pi\)
\(84\) −0.763344 + 0.898678i −0.000991520 + 0.00116731i
\(85\) −150.729 177.452i −0.192340 0.226440i
\(86\) −113.833 + 694.353i −0.142732 + 0.870628i
\(87\) 601.246 + 457.055i 0.740923 + 0.563235i
\(88\) −189.863 + 280.026i −0.229993 + 0.339215i
\(89\) −83.2418 + 122.772i −0.0991417 + 0.146223i −0.874024 0.485882i \(-0.838499\pi\)
0.774883 + 0.632105i \(0.217809\pi\)
\(90\) 326.281 + 248.032i 0.382145 + 0.290499i
\(91\) 47.7428 291.218i 0.0549979 0.335472i
\(92\) 9.54313 + 11.2350i 0.0108146 + 0.0127319i
\(93\) 537.049 632.263i 0.598810 0.704974i
\(94\) −153.297 935.068i −0.168206 1.02601i
\(95\) −789.632 + 1489.40i −0.852784 + 1.60852i
\(96\) 14.8761 + 3.27447i 0.0158154 + 0.00348124i
\(97\) 889.351 + 299.657i 0.930927 + 0.313666i 0.743594 0.668631i \(-0.233119\pi\)
0.187332 + 0.982297i \(0.440016\pi\)
\(98\) −50.9979 940.601i −0.0525670 0.969541i
\(99\) −107.898 + 82.0219i −0.109537 + 0.0832678i
\(100\) 6.86618 + 12.9510i 0.00686618 + 0.0129510i
\(101\) 87.8571 + 316.433i 0.0865556 + 0.311745i 0.994137 0.108132i \(-0.0344870\pi\)
−0.907581 + 0.419877i \(0.862073\pi\)
\(102\) −90.3321 85.5671i −0.0876884 0.0830628i
\(103\) 574.480 + 1441.84i 0.549565 + 1.37930i 0.897179 + 0.441667i \(0.145613\pi\)
−0.347614 + 0.937638i \(0.613008\pi\)
\(104\) −1793.60 + 604.333i −1.69112 + 0.569805i
\(105\) 167.037 18.1663i 0.155249 0.0168843i
\(106\) 38.3984 + 17.7650i 0.0351848 + 0.0162782i
\(107\) −1016.60 + 962.973i −0.918488 + 0.870039i −0.991869 0.127266i \(-0.959380\pi\)
0.0733802 + 0.997304i \(0.476621\pi\)
\(108\) 2.59585 + 1.56187i 0.00231283 + 0.00139159i
\(109\) 1015.61 + 110.454i 0.892454 + 0.0970602i 0.542843 0.839834i \(-0.317348\pi\)
0.349612 + 0.936895i \(0.386314\pi\)
\(110\) −669.758 + 147.425i −0.580536 + 0.127786i
\(111\) 94.3457 339.803i 0.0806748 0.290564i
\(112\) 194.752 117.178i 0.164306 0.0988597i
\(113\) 635.300 293.921i 0.528885 0.244688i −0.137228 0.990540i \(-0.543819\pi\)
0.666112 + 0.745851i \(0.267957\pi\)
\(114\) −333.456 + 836.911i −0.273956 + 0.687578i
\(115\) 113.722 2097.48i 0.0922143 1.70079i
\(116\) 15.8519 + 23.3799i 0.0126881 + 0.0187135i
\(117\) −758.215 −0.599120
\(118\) −948.427 875.536i −0.739913 0.683047i
\(119\) −51.0088 −0.0392939
\(120\) −604.742 891.928i −0.460043 0.678512i
\(121\) −59.7810 + 1102.60i −0.0449144 + 0.828397i
\(122\) 828.713 2079.91i 0.614985 1.54350i
\(123\) 585.930 271.080i 0.429524 0.198719i
\(124\) 26.5855 15.9960i 0.0192536 0.0115845i
\(125\) 24.1332 86.9200i 0.0172683 0.0621949i
\(126\) 87.6931 19.3027i 0.0620026 0.0136478i
\(127\) −1138.56 123.826i −0.795519 0.0865179i −0.298672 0.954356i \(-0.596544\pi\)
−0.496847 + 0.867838i \(0.665509\pi\)
\(128\) −1266.32 761.922i −0.874440 0.526133i
\(129\) 538.053 509.671i 0.367232 0.347861i
\(130\) −3481.92 1610.91i −2.34911 1.08681i
\(131\) 1026.81 111.673i 0.684833 0.0744800i 0.240913 0.970547i \(-0.422553\pi\)
0.443919 + 0.896067i \(0.353588\pi\)
\(132\) −4.80380 + 1.61859i −0.00316756 + 0.00106727i
\(133\) 136.702 + 343.097i 0.0891247 + 0.223686i
\(134\) 934.963 + 885.644i 0.602750 + 0.570955i
\(135\) −115.491 415.962i −0.0736290 0.265188i
\(136\) 153.238 + 289.038i 0.0966182 + 0.182241i
\(137\) −1796.24 + 1365.46i −1.12017 + 0.851528i −0.990154 0.139984i \(-0.955295\pi\)
−0.130013 + 0.991512i \(0.541502\pi\)
\(138\) −60.7742 1120.92i −0.0374887 0.691439i
\(139\) −2149.46 724.238i −1.31162 0.441936i −0.425317 0.905044i \(-0.639837\pi\)
−0.886301 + 0.463109i \(0.846734\pi\)
\(140\) 6.13730 + 1.35092i 0.00370498 + 0.000815527i
\(141\) −467.497 + 881.793i −0.279223 + 0.526670i
\(142\) 65.3807 + 398.805i 0.0386382 + 0.235683i
\(143\) 821.335 966.950i 0.480304 0.565458i
\(144\) −378.051 445.076i −0.218780 0.257567i
\(145\) 651.198 3972.13i 0.372959 2.27495i
\(146\) 1555.75 + 1182.65i 0.881879 + 0.670387i
\(147\) −556.804 + 821.224i −0.312411 + 0.460772i
\(148\) 7.40196 10.9171i 0.00411106 0.00606336i
\(149\) 2375.94 + 1806.14i 1.30634 + 0.993053i 0.999142 + 0.0414062i \(0.0131838\pi\)
0.307196 + 0.951646i \(0.400609\pi\)
\(150\) 180.594 1101.58i 0.0983030 0.599622i
\(151\) 1630.24 + 1919.27i 0.878591 + 1.03436i 0.999132 + 0.0416489i \(0.0132611\pi\)
−0.120541 + 0.992708i \(0.538463\pi\)
\(152\) 1533.46 1805.33i 0.818289 0.963365i
\(153\) 21.2027 + 129.330i 0.0112035 + 0.0683382i
\(154\) −70.3767 + 132.744i −0.0368254 + 0.0694601i
\(155\) −4317.88 950.438i −2.23755 0.492523i
\(156\) −26.8738 9.05483i −0.0137925 0.00464722i
\(157\) −83.0570 1531.90i −0.0422208 0.778717i −0.940604 0.339505i \(-0.889740\pi\)
0.898383 0.439212i \(-0.144742\pi\)
\(158\) 1624.43 1234.86i 0.817930 0.621774i
\(159\) −20.8741 39.3727i −0.0104115 0.0196381i
\(160\) −21.7184 78.2224i −0.0107312 0.0386502i
\(161\) −334.104 316.480i −0.163547 0.154920i
\(162\) −85.3922 214.318i −0.0414139 0.103941i
\(163\) −2171.32 + 731.601i −1.04338 + 0.351555i −0.788252 0.615353i \(-0.789013\pi\)
−0.255126 + 0.966908i \(0.582117\pi\)
\(164\) 24.0047 2.61067i 0.0114296 0.00124304i
\(165\) 655.582 + 303.304i 0.309315 + 0.143104i
\(166\) −1300.37 + 1231.78i −0.608004 + 0.575932i
\(167\) 2060.65 + 1239.85i 0.954840 + 0.574508i 0.905533 0.424276i \(-0.139471\pi\)
0.0493066 + 0.998784i \(0.484299\pi\)
\(168\) −234.704 25.5256i −0.107785 0.0117223i
\(169\) 4785.84 1053.44i 2.17835 0.479492i
\(170\) −177.408 + 638.965i −0.0800386 + 0.288273i
\(171\) 813.083 489.216i 0.363614 0.218779i
\(172\) 25.1571 11.6389i 0.0111524 0.00515965i
\(173\) 631.925 1586.01i 0.277713 0.697008i −0.722272 0.691609i \(-0.756902\pi\)
0.999985 0.00539871i \(-0.00171847\pi\)
\(174\) 116.457 2147.93i 0.0507391 0.935828i
\(175\) −256.814 378.772i −0.110933 0.163614i
\(176\) 977.128 0.418487
\(177\) 237.187 + 1338.71i 0.100723 + 0.568496i
\(178\) 422.477 0.177899
\(179\) −627.704 925.793i −0.262105 0.386576i 0.673751 0.738958i \(-0.264682\pi\)
−0.935856 + 0.352383i \(0.885372\pi\)
\(180\) 0.874130 16.1224i 0.000361966 0.00667606i
\(181\) 452.763 1136.35i 0.185931 0.466653i −0.806232 0.591600i \(-0.798497\pi\)
0.992163 + 0.124947i \(0.0398760\pi\)
\(182\) −762.834 + 352.925i −0.310687 + 0.143739i
\(183\) −2020.69 + 1215.81i −0.816251 + 0.491122i
\(184\) −789.613 + 2843.93i −0.316364 + 1.13944i
\(185\) −1835.58 + 404.041i −0.729483 + 0.160571i
\(186\) −2348.91 255.459i −0.925970 0.100705i
\(187\) −187.903 113.057i −0.0734802 0.0442116i
\(188\) −27.1004 + 25.6708i −0.0105133 + 0.00995871i
\(189\) −85.8370 39.7124i −0.0330356 0.0152839i
\(190\) 4773.27 519.124i 1.82258 0.198217i
\(191\) −1208.63 + 407.235i −0.457872 + 0.154275i −0.538780 0.842447i \(-0.681114\pi\)
0.0809082 + 0.996722i \(0.474218\pi\)
\(192\) 560.336 + 1406.34i 0.210619 + 0.528613i
\(193\) −31.7016 30.0293i −0.0118235 0.0111998i 0.681765 0.731571i \(-0.261213\pi\)
−0.693588 + 0.720372i \(0.743971\pi\)
\(194\) −715.093 2575.53i −0.264643 0.953157i
\(195\) 1892.83 + 3570.26i 0.695121 + 1.31114i
\(196\) −29.5423 + 22.4575i −0.0107662 + 0.00818422i
\(197\) 82.8211 + 1527.55i 0.0299531 + 0.552452i 0.974543 + 0.224200i \(0.0719769\pi\)
−0.944590 + 0.328252i \(0.893540\pi\)
\(198\) 365.821 + 123.259i 0.131302 + 0.0442407i
\(199\) 4847.01 + 1066.91i 1.72661 + 0.380056i 0.963813 0.266580i \(-0.0858936\pi\)
0.762799 + 0.646636i \(0.223825\pi\)
\(200\) −1374.78 + 2593.11i −0.486057 + 0.916801i
\(201\) −219.453 1338.61i −0.0770102 0.469741i
\(202\) 605.536 712.892i 0.210918 0.248312i
\(203\) −570.898 672.113i −0.197385 0.232380i
\(204\) −0.793007 + 4.83713i −0.000272165 + 0.00166013i
\(205\) −2739.19 2082.27i −0.933234 0.709426i
\(206\) 2480.78 3658.88i 0.839049 1.23750i
\(207\) −663.544 + 978.654i −0.222799 + 0.328605i
\(208\) 4351.69 + 3308.07i 1.45065 + 1.10276i
\(209\) −256.874 + 1566.86i −0.0850161 + 0.518575i
\(210\) −309.812 364.739i −0.101805 0.119854i
\(211\) 1473.62 1734.88i 0.480797 0.566038i −0.467268 0.884116i \(-0.654762\pi\)
0.948064 + 0.318078i \(0.103037\pi\)
\(212\) −0.269649 1.64479i −8.73565e−5 0.000532851i
\(213\) 199.387 376.083i 0.0641397 0.120980i
\(214\) 3895.03 + 857.361i 1.24420 + 0.273869i
\(215\) −3743.14 1261.21i −1.18735 0.400064i
\(216\) 32.8396 + 605.691i 0.0103447 + 0.190797i
\(217\) −771.118 + 586.188i −0.241230 + 0.183378i
\(218\) −1362.93 2570.76i −0.423437 0.798686i
\(219\) −550.676 1983.36i −0.169914 0.611976i
\(220\) 19.6139 + 18.5793i 0.00601078 + 0.00569371i
\(221\) −454.079 1139.65i −0.138211 0.346884i
\(222\) −951.856 + 320.718i −0.287767 + 0.0969602i
\(223\) −138.096 + 15.0188i −0.0414690 + 0.00451003i −0.128830 0.991667i \(-0.541122\pi\)
0.0873610 + 0.996177i \(0.472157\pi\)
\(224\) −16.1418 7.46798i −0.00481481 0.00222757i
\(225\) −853.609 + 808.582i −0.252921 + 0.239580i
\(226\) −1708.34 1027.87i −0.502818 0.302536i
\(227\) −1843.66 200.510i −0.539066 0.0586269i −0.165463 0.986216i \(-0.552912\pi\)
−0.373602 + 0.927589i \(0.621878\pi\)
\(228\) 34.6608 7.62942i 0.0100678 0.00221610i
\(229\) 788.983 2841.66i 0.227675 0.820010i −0.758129 0.652105i \(-0.773886\pi\)
0.985803 0.167905i \(-0.0537001\pi\)
\(230\) −5126.41 + 3084.46i −1.46968 + 0.884275i
\(231\) 143.628 66.4493i 0.0409092 0.0189266i
\(232\) −2093.42 + 5254.08i −0.592412 + 1.48684i
\(233\) −32.5013 + 599.451i −0.00913832 + 0.168546i 0.990402 + 0.138219i \(0.0441378\pi\)
−0.999540 + 0.0303275i \(0.990345\pi\)
\(234\) 1211.91 + 1787.43i 0.338568 + 0.499350i
\(235\) 5319.24 1.47655
\(236\) −7.58059 + 50.2812i −0.00209091 + 0.0138688i
\(237\) −2149.26 −0.589071
\(238\) 81.5309 + 120.249i 0.0222053 + 0.0327504i
\(239\) −25.9319 + 478.286i −0.00701839 + 0.129447i 0.992924 + 0.118748i \(0.0378882\pi\)
−0.999943 + 0.0106982i \(0.996595\pi\)
\(240\) −1151.98 + 2891.26i −0.309834 + 0.777624i
\(241\) −5074.49 + 2347.71i −1.35633 + 0.627507i −0.957211 0.289391i \(-0.906547\pi\)
−0.399122 + 0.916898i \(0.630685\pi\)
\(242\) 2694.83 1621.43i 0.715828 0.430699i
\(243\) −65.0094 + 234.143i −0.0171620 + 0.0618118i
\(244\) −86.1399 + 18.9608i −0.0226006 + 0.00497477i
\(245\) 5256.97 + 571.730i 1.37084 + 0.149088i
\(246\) −1575.58 947.996i −0.408355 0.245699i
\(247\) −6448.63 + 6108.47i −1.66120 + 1.57357i
\(248\) 5638.15 + 2608.49i 1.44364 + 0.667900i
\(249\) 1875.57 203.980i 0.477347 0.0519146i
\(250\) −243.481 + 82.0382i −0.0615963 + 0.0207542i
\(251\) −1162.18 2916.85i −0.292255 0.733505i −0.999644 0.0266806i \(-0.991506\pi\)
0.707389 0.706825i \(-0.249873\pi\)
\(252\) −2.56810 2.43263i −0.000641965 0.000608102i
\(253\) −529.293 1906.34i −0.131527 0.473718i
\(254\) 1527.93 + 2881.98i 0.377444 + 0.711935i
\(255\) 556.056 422.703i 0.136555 0.103807i
\(256\) 9.32875 + 172.059i 0.00227753 + 0.0420065i
\(257\) −5436.51 1831.77i −1.31953 0.444603i −0.430561 0.902562i \(-0.641684\pi\)
−0.888974 + 0.457959i \(0.848581\pi\)
\(258\) −2061.52 453.774i −0.497459 0.109499i
\(259\) −192.878 + 363.807i −0.0462737 + 0.0872814i
\(260\) 24.4514 + 149.147i 0.00583236 + 0.0355758i
\(261\) −1466.81 + 1726.86i −0.347866 + 0.409540i
\(262\) −1904.49 2242.13i −0.449082 0.528700i
\(263\) 307.296 1874.42i 0.0720482 0.439474i −0.926027 0.377457i \(-0.876798\pi\)
0.998075 0.0620169i \(-0.0197533\pi\)
\(264\) −808.010 614.234i −0.188370 0.143195i
\(265\) −133.286 + 196.582i −0.0308970 + 0.0455696i
\(266\) 590.322 870.659i 0.136071 0.200690i
\(267\) −354.257 269.299i −0.0811992 0.0617261i
\(268\) 8.20784 50.0656i 0.00187080 0.0114114i
\(269\) 1685.14 + 1983.90i 0.381951 + 0.449667i 0.919220 0.393743i \(-0.128820\pi\)
−0.537270 + 0.843410i \(0.680544\pi\)
\(270\) −795.999 + 937.123i −0.179418 + 0.211228i
\(271\) 706.191 + 4307.57i 0.158295 + 0.965559i 0.939816 + 0.341680i \(0.110996\pi\)
−0.781521 + 0.623879i \(0.785556\pi\)
\(272\) 442.575 834.785i 0.0986583 0.186089i
\(273\) 864.619 + 190.317i 0.191682 + 0.0421924i
\(274\) 6090.02 + 2051.97i 1.34274 + 0.452422i
\(275\) −106.512 1964.50i −0.0233561 0.430777i
\(276\) −35.2057 + 26.7626i −0.00767801 + 0.00583667i
\(277\) 835.028 + 1575.03i 0.181126 + 0.341640i 0.957405 0.288750i \(-0.0932396\pi\)
−0.776278 + 0.630390i \(0.782895\pi\)
\(278\) 1728.30 + 6224.78i 0.372866 + 1.34294i
\(279\) 1806.78 + 1711.47i 0.387703 + 0.367252i
\(280\) 465.729 + 1168.89i 0.0994022 + 0.249481i
\(281\) −6080.70 + 2048.83i −1.29090 + 0.434956i −0.879240 0.476379i \(-0.841949\pi\)
−0.411664 + 0.911336i \(0.635052\pi\)
\(282\) 2825.99 307.345i 0.596756 0.0649011i
\(283\) 3685.59 + 1705.13i 0.774153 + 0.358161i 0.766862 0.641812i \(-0.221817\pi\)
0.00729117 + 0.999973i \(0.497679\pi\)
\(284\) 11.5582 10.9486i 0.00241499 0.00228760i
\(285\) −4333.41 2607.32i −0.900663 0.541911i
\(286\) −3592.30 390.686i −0.742718 0.0807754i
\(287\) −736.199 + 162.050i −0.151416 + 0.0333292i
\(288\) −12.2251 + 44.0309i −0.00250129 + 0.00900884i
\(289\) 4028.04 2423.59i 0.819875 0.493302i
\(290\) −10404.8 + 4813.79i −2.10687 + 0.974743i
\(291\) −1042.10 + 2615.47i −0.209927 + 0.526878i
\(292\) 4.16795 76.8733i 0.000835311 0.0154064i
\(293\) −216.994 320.042i −0.0432659 0.0638124i 0.805441 0.592676i \(-0.201929\pi\)
−0.848707 + 0.528864i \(0.822618\pi\)
\(294\) 2825.95 0.560587
\(295\) 5711.57 4458.86i 1.12726 0.880017i
\(296\) 2640.93 0.518583
\(297\) −228.180 336.541i −0.0445804 0.0657511i
\(298\) 460.204 8487.96i 0.0894594 1.64998i
\(299\) 4096.69 10281.9i 0.792367 1.98869i
\(300\) −39.9112 + 18.4649i −0.00768091 + 0.00355357i
\(301\) −741.492 + 446.141i −0.141990 + 0.0854323i
\(302\) 1918.79 6910.86i 0.365609 1.31681i
\(303\) −962.176 + 211.791i −0.182428 + 0.0401553i
\(304\) −6801.03 739.657i −1.28311 0.139547i
\(305\) 10769.5 + 6479.79i 2.02183 + 1.21650i
\(306\) 270.996 256.701i 0.0506269 0.0479563i
\(307\) 172.701 + 79.8999i 0.0321061 + 0.0148538i 0.435876 0.900007i \(-0.356438\pi\)
−0.403770 + 0.914860i \(0.632301\pi\)
\(308\) 5.88422 0.639948i 0.00108859 0.000118391i
\(309\) −4412.47 + 1486.73i −0.812352 + 0.273713i
\(310\) 4660.99 + 11698.2i 0.853957 + 2.14327i
\(311\) 4810.63 + 4556.87i 0.877124 + 0.830856i 0.986604 0.163133i \(-0.0521599\pi\)
−0.109480 + 0.993989i \(0.534919\pi\)
\(312\) −1519.03 5471.05i −0.275635 0.992747i
\(313\) −1149.26 2167.73i −0.207540 0.391462i 0.757788 0.652500i \(-0.226280\pi\)
−0.965328 + 0.261038i \(0.915935\pi\)
\(314\) −3478.56 + 2644.34i −0.625181 + 0.475250i
\(315\) 27.2895 + 503.326i 0.00488124 + 0.0900292i
\(316\) −76.1774 25.6671i −0.0135611 0.00456927i
\(317\) −7215.45 1588.24i −1.27842 0.281402i −0.476683 0.879075i \(-0.658161\pi\)
−0.801740 + 0.597673i \(0.796092\pi\)
\(318\) −59.4534 + 112.141i −0.0104842 + 0.0197753i
\(319\) −613.344 3741.23i −0.107651 0.656642i
\(320\) 5223.28 6149.32i 0.912469 1.07424i
\(321\) −2719.57 3201.73i −0.472871 0.556707i
\(322\) −212.054 + 1293.47i −0.0366997 + 0.223859i
\(323\) 1222.26 + 929.141i 0.210553 + 0.160058i
\(324\) −5.10036 + 7.52246i −0.000874547 + 0.00128986i
\(325\) 6176.47 9109.61i 1.05418 1.55480i
\(326\) 5195.25 + 3949.33i 0.882633 + 0.670960i
\(327\) −495.827 + 3024.41i −0.0838511 + 0.511469i
\(328\) 3129.90 + 3684.80i 0.526889 + 0.620302i
\(329\) 754.440 888.195i 0.126424 0.148838i
\(330\) −332.846 2030.27i −0.0555230 0.338675i
\(331\) 3830.19 7224.50i 0.636031 1.19968i −0.330664 0.943749i \(-0.607273\pi\)
0.966695 0.255933i \(-0.0823826\pi\)
\(332\) 68.9126 + 15.1688i 0.0113918 + 0.00250752i
\(333\) 1002.59 + 337.812i 0.164990 + 0.0555915i
\(334\) −370.831 6839.57i −0.0607513 1.12049i
\(335\) −5755.34 + 4375.09i −0.938650 + 0.713543i
\(336\) 319.388 + 602.429i 0.0518572 + 0.0978131i
\(337\) 268.627 + 967.505i 0.0434214 + 0.156390i 0.982083 0.188451i \(-0.0603467\pi\)
−0.938661 + 0.344841i \(0.887933\pi\)
\(338\) −10133.0 9598.44i −1.63065 1.54463i
\(339\) 777.286 + 1950.84i 0.124532 + 0.312552i
\(340\) 24.7566 8.34147i 0.00394887 0.00133053i
\(341\) −4139.83 + 450.233i −0.657432 + 0.0715000i
\(342\) −2452.89 1134.83i −0.387828 0.179428i
\(343\) 1713.36 1622.98i 0.269716 0.255488i
\(344\) 4755.58 + 2861.34i 0.745360 + 0.448468i
\(345\) 6264.74 + 681.332i 0.977630 + 0.106324i
\(346\) −4748.94 + 1045.32i −0.737875 + 0.162419i
\(347\) −3403.90 + 12259.8i −0.526603 + 1.89665i −0.0926947 + 0.995695i \(0.529548\pi\)
−0.433908 + 0.900957i \(0.642866\pi\)
\(348\) −72.6113 + 43.6888i −0.0111850 + 0.00672978i
\(349\) −3345.47 + 1547.78i −0.513121 + 0.237395i −0.659323 0.751860i \(-0.729157\pi\)
0.146202 + 0.989255i \(0.453295\pi\)
\(350\) −482.441 + 1210.83i −0.0736787 + 0.184919i
\(351\) 123.147 2271.31i 0.0187268 0.345395i
\(352\) −42.9097 63.2871i −0.00649743 0.00958299i
\(353\) 12969.3 1.95548 0.977742 0.209812i \(-0.0672851\pi\)
0.977742 + 0.209812i \(0.0672851\pi\)
\(354\) 2776.80 2698.91i 0.416907 0.405213i
\(355\) −2268.64 −0.339175
\(356\) −9.34005 13.7755i −0.00139051 0.00205085i
\(357\) 8.28469 152.802i 0.00122821 0.0226531i
\(358\) −1179.18 + 2959.52i −0.174083 + 0.436915i
\(359\) −7462.73 + 3452.63i −1.09713 + 0.507584i −0.883072 0.469238i \(-0.844529\pi\)
−0.214053 + 0.976822i \(0.568667\pi\)
\(360\) 2770.08 1666.70i 0.405544 0.244008i
\(361\) 1139.00 4102.30i 0.166059 0.598090i
\(362\) −3402.53 + 748.954i −0.494014 + 0.108741i
\(363\) −3293.23 358.160i −0.476170 0.0517866i
\(364\) 28.3723 + 17.0710i 0.00408547 + 0.00245815i
\(365\) −7964.44 + 7544.32i −1.14213 + 1.08188i
\(366\) 6095.99 + 2820.30i 0.870608 + 0.402786i
\(367\) −940.149 + 102.247i −0.133720 + 0.0145430i −0.174734 0.984616i \(-0.555907\pi\)
0.0410140 + 0.999159i \(0.486941\pi\)
\(368\) 8078.18 2721.85i 1.14430 0.385561i
\(369\) 716.882 + 1799.24i 0.101137 + 0.253834i
\(370\) 3886.43 + 3681.42i 0.546069 + 0.517265i
\(371\) 13.9206 + 50.1376i 0.00194804 + 0.00701621i
\(372\) 43.5996 + 82.2376i 0.00607671 + 0.0114619i
\(373\) −3977.48 + 3023.60i −0.552134 + 0.419722i −0.843689 0.536833i \(-0.819621\pi\)
0.291554 + 0.956554i \(0.405828\pi\)
\(374\) 33.8145 + 623.672i 0.00467515 + 0.0862281i
\(375\) 256.458 + 86.4108i 0.0353158 + 0.0118993i
\(376\) −7299.35 1606.71i −1.00116 0.220371i
\(377\) 9934.40 18738.3i 1.35716 2.55987i
\(378\) 43.5804 + 265.829i 0.00592998 + 0.0361713i
\(379\) −8843.65 + 10411.5i −1.19860 + 1.41110i −0.311039 + 0.950397i \(0.600677\pi\)
−0.887557 + 0.460699i \(0.847599\pi\)
\(380\) −122.453 144.163i −0.0165309 0.0194616i
\(381\) 555.854 3390.56i 0.0747435 0.455915i
\(382\) 2891.86 + 2198.34i 0.387331 + 0.294442i
\(383\) −1496.35 + 2206.95i −0.199634 + 0.294438i −0.914308 0.405019i \(-0.867265\pi\)
0.714674 + 0.699458i \(0.246575\pi\)
\(384\) 2488.09 3669.65i 0.330650 0.487672i
\(385\) −671.451 510.424i −0.0888840 0.0675678i
\(386\) −20.1209 + 122.732i −0.00265317 + 0.0161836i
\(387\) 1439.38 + 1694.57i 0.189064 + 0.222584i
\(388\) −68.1703 + 80.2562i −0.00891964 + 0.0105010i
\(389\) −1299.76 7928.20i −0.169410 1.03336i −0.925461 0.378843i \(-0.876322\pi\)
0.756051 0.654513i \(-0.227126\pi\)
\(390\) 5391.15 10168.8i 0.699978 1.32030i
\(391\) −1868.37 411.259i −0.241656 0.0531925i
\(392\) −7041.22 2372.46i −0.907233 0.305682i
\(393\) 167.755 + 3094.06i 0.0215321 + 0.397136i
\(394\) 3468.68 2636.82i 0.443527 0.337161i
\(395\) 5365.49 + 10120.4i 0.683461 + 1.28914i
\(396\) −4.06843 14.6532i −0.000516279 0.00185947i
\(397\) −8761.70 8299.52i −1.10765 1.04922i −0.998475 0.0551991i \(-0.982421\pi\)
−0.109175 0.994023i \(-0.534821\pi\)
\(398\) −5232.17 13131.8i −0.658957 1.65386i
\(399\) −1049.98 + 353.780i −0.131742 + 0.0443889i
\(400\) 8427.02 916.493i 1.05338 0.114562i
\(401\) −4731.60 2189.07i −0.589239 0.272611i 0.102530 0.994730i \(-0.467306\pi\)
−0.691769 + 0.722119i \(0.743168\pi\)
\(402\) −2804.89 + 2656.93i −0.347998 + 0.329641i
\(403\) −19961.2 12010.3i −2.46734 1.48455i
\(404\) −36.6321 3.98398i −0.00451118 0.000490620i
\(405\) 1264.81 278.407i 0.155183 0.0341584i
\(406\) −671.945 + 2420.13i −0.0821381 + 0.295835i
\(407\) −1516.86 + 912.666i −0.184737 + 0.111153i
\(408\) −890.731 + 412.096i −0.108083 + 0.0500044i
\(409\) 19.3098 48.4640i 0.00233450 0.00585914i −0.927805 0.373066i \(-0.878307\pi\)
0.930139 + 0.367207i \(0.119686\pi\)
\(410\) −530.563 + 9785.65i −0.0639088 + 1.17873i
\(411\) −3798.64 5602.58i −0.455896 0.672396i
\(412\) −174.148 −0.0208244
\(413\) 65.5537 1586.12i 0.00781038 0.188978i
\(414\) 3367.68 0.399789
\(415\) −5642.72 8322.39i −0.667447 0.984410i
\(416\) 23.1580 427.124i 0.00272936 0.0503400i
\(417\) 2518.64 6321.30i 0.295775 0.742339i
\(418\) 4104.33 1898.87i 0.480262 0.222193i
\(419\) 11088.3 6671.59i 1.29283 0.777873i 0.308003 0.951386i \(-0.400339\pi\)
0.984832 + 0.173513i \(0.0555119\pi\)
\(420\) −5.04363 + 18.1655i −0.000585961 + 0.00211044i
\(421\) 11350.7 2498.48i 1.31401 0.289236i 0.497954 0.867203i \(-0.334085\pi\)
0.816060 + 0.577967i \(0.196154\pi\)
\(422\) −6445.22 700.960i −0.743480 0.0808583i
\(423\) −2565.57 1543.65i −0.294899 0.177435i
\(424\) 242.281 229.501i 0.0277505 0.0262867i
\(425\) −1726.57 798.794i −0.197060 0.0911699i
\(426\) −1205.28 + 131.082i −0.137080 + 0.0149083i
\(427\) 2609.44 879.224i 0.295737 0.0996455i
\(428\) −58.1550 145.958i −0.00656782 0.0164840i
\(429\) 2763.20 + 2617.44i 0.310975 + 0.294572i
\(430\) 3009.71 + 10840.0i 0.337538 + 1.21570i
\(431\) −4542.77 8568.58i −0.507698 0.957619i −0.996368 0.0851509i \(-0.972863\pi\)
0.488670 0.872468i \(-0.337482\pi\)
\(432\) 1394.67 1060.20i 0.155327 0.118076i
\(433\) −390.560 7203.45i −0.0433467 0.799482i −0.936701 0.350130i \(-0.886138\pi\)
0.893355 0.449352i \(-0.148345\pi\)
\(434\) 2614.42 + 880.901i 0.289162 + 0.0974300i
\(435\) 11793.2 + 2595.87i 1.29986 + 0.286121i
\(436\) −53.6923 + 101.274i −0.00589769 + 0.0111242i
\(437\) 2240.96 + 13669.2i 0.245308 + 1.49631i
\(438\) −3795.42 + 4468.31i −0.414046 + 0.487452i
\(439\) 4552.39 + 5359.49i 0.494929 + 0.582675i 0.951747 0.306885i \(-0.0992867\pi\)
−0.456818 + 0.889560i \(0.651011\pi\)
\(440\) −875.141 + 5338.12i −0.0948198 + 0.578375i
\(441\) −2369.62 1801.34i −0.255871 0.194508i
\(442\) −1960.85 + 2892.04i −0.211014 + 0.311222i
\(443\) −6168.62 + 9098.03i −0.661580 + 0.975757i 0.337823 + 0.941209i \(0.390309\pi\)
−0.999403 + 0.0345474i \(0.989001\pi\)
\(444\) 31.5010 + 23.9464i 0.00336705 + 0.00255957i
\(445\) −383.690 + 2340.40i −0.0408733 + 0.249316i
\(446\) 256.134 + 301.544i 0.0271935 + 0.0320147i
\(447\) −5796.37 + 6824.01i −0.613331 + 0.722069i
\(448\) −285.971 1744.34i −0.0301581 0.183957i
\(449\) 4153.42 7834.17i 0.436552 0.823424i −0.563444 0.826154i \(-0.690524\pi\)
0.999996 + 0.00272969i \(0.000868889\pi\)
\(450\) 3270.55 + 719.902i 0.342611 + 0.0754145i
\(451\) −3071.13 1034.78i −0.320651 0.108040i
\(452\) 4.25220 + 78.4271i 0.000442492 + 0.00816129i
\(453\) −6014.14 + 4571.83i −0.623773 + 0.474180i
\(454\) 2474.16 + 4666.76i 0.255767 + 0.482427i
\(455\) −1262.30 4546.41i −0.130061 0.468437i
\(456\) 5158.98 + 4886.85i 0.529806 + 0.501859i
\(457\) −1801.96 4522.59i −0.184447 0.462927i 0.807456 0.589928i \(-0.200844\pi\)
−0.991903 + 0.127001i \(0.959465\pi\)
\(458\) −7960.07 + 2682.06i −0.812117 + 0.273634i
\(459\) −390.866 + 42.5092i −0.0397474 + 0.00432279i
\(460\) 213.908 + 98.9642i 0.0216815 + 0.0100309i
\(461\) −3740.37 + 3543.07i −0.377888 + 0.357955i −0.852945 0.522000i \(-0.825186\pi\)
0.475057 + 0.879955i \(0.342427\pi\)
\(462\) −386.219 232.380i −0.0388929 0.0234011i
\(463\) −4006.57 435.740i −0.402162 0.0437377i −0.0951967 0.995458i \(-0.530348\pi\)
−0.306965 + 0.951721i \(0.599314\pi\)
\(464\) 15952.8 3511.48i 1.59610 0.351328i
\(465\) 3548.43 12780.3i 0.353880 1.27456i
\(466\) 1465.10 881.524i 0.145643 0.0876305i
\(467\) −6940.37 + 3210.96i −0.687713 + 0.318170i −0.732442 0.680829i \(-0.761620\pi\)
0.0447294 + 0.998999i \(0.485757\pi\)
\(468\) 31.4894 79.0324i 0.00311025 0.00780614i
\(469\) −85.7488 + 1581.54i −0.00844246 + 0.155712i
\(470\) −8502.10 12539.7i −0.834410 1.23066i
\(471\) 4602.44 0.450253
\(472\) −9184.56 + 4393.48i −0.895664 + 0.428446i
\(473\) −3720.29 −0.361647
\(474\) 3435.32 + 5066.72i 0.332889 + 0.490975i
\(475\) −745.720 + 13754.0i −0.0720337 + 1.32858i
\(476\) 2.11844 5.31689i 0.000203989 0.000511974i
\(477\) 121.335 56.1356i 0.0116469 0.00538841i
\(478\) 1168.97 703.345i 0.111856 0.0673017i
\(479\) −2553.62 + 9197.31i −0.243586 + 0.877319i 0.736115 + 0.676857i \(0.236658\pi\)
−0.979701 + 0.200463i \(0.935755\pi\)
\(480\) 237.851 52.3549i 0.0226174 0.00497846i
\(481\) −9845.27 1070.74i −0.933276 0.101500i
\(482\) 13645.4 + 8210.18i 1.28949 + 0.775858i
\(483\) 1002.31 949.439i 0.0944238 0.0894430i
\(484\) −112.446 52.0231i −0.0105603 0.00488572i
\(485\) 14917.2 1622.34i 1.39661 0.151890i
\(486\) 655.881 220.992i 0.0612168 0.0206263i
\(487\) 155.565 + 390.438i 0.0144750 + 0.0363294i 0.936037 0.351903i \(-0.114465\pi\)
−0.921562 + 0.388232i \(0.873086\pi\)
\(488\) −12821.2 12144.9i −1.18932 1.12659i
\(489\) −1838.93 6623.22i −0.170060 0.612499i
\(490\) −7054.78 13306.7i −0.650413 1.22681i
\(491\) 1041.67 791.860i 0.0957436 0.0727824i −0.556207 0.831044i \(-0.687744\pi\)
0.651951 + 0.758261i \(0.273951\pi\)
\(492\) 3.92175 + 72.3325i 0.000359362 + 0.00662805i
\(493\) −3474.03 1170.54i −0.317368 0.106934i
\(494\) 24707.5 + 5438.53i 2.25029 + 0.495326i
\(495\) −1015.06 + 1914.60i −0.0921684 + 0.173848i
\(496\) −2902.71 17705.8i −0.262773 1.60285i
\(497\) −321.767 + 378.813i −0.0290407 + 0.0341893i
\(498\) −3478.72 4095.46i −0.313022 0.368518i
\(499\) −2093.06 + 12767.1i −0.187772 + 1.14536i 0.709772 + 0.704432i \(0.248798\pi\)
−0.897544 + 0.440926i \(0.854650\pi\)
\(500\) 8.05782 + 6.12539i 0.000720713 + 0.000547872i
\(501\) −4048.79 + 5971.52i −0.361051 + 0.532511i
\(502\) −5018.64 + 7401.94i −0.446201 + 0.658097i
\(503\) 8276.05 + 6291.29i 0.733620 + 0.557683i 0.903916 0.427710i \(-0.140679\pi\)
−0.170297 + 0.985393i \(0.554473\pi\)
\(504\) 114.584 698.934i 0.0101270 0.0617718i
\(505\) 3399.28 + 4001.94i 0.299536 + 0.352642i
\(506\) −3648.04 + 4294.80i −0.320504 + 0.377326i
\(507\) 2378.40 + 14507.6i 0.208340 + 1.27082i
\(508\) 60.1924 113.535i 0.00525710 0.00991594i
\(509\) 10327.2 + 2273.19i 0.899305 + 0.197952i 0.640482 0.767973i \(-0.278734\pi\)
0.258823 + 0.965925i \(0.416665\pi\)
\(510\) −1885.27 635.222i −0.163689 0.0551531i
\(511\) 130.120 + 2399.91i 0.0112645 + 0.207761i
\(512\) −9021.48 + 6857.95i −0.778705 + 0.591956i
\(513\) 1333.44 + 2515.13i 0.114761 + 0.216463i
\(514\) 4371.30 + 15744.0i 0.375116 + 1.35105i
\(515\) 18016.1 + 17065.8i 1.54152 + 1.46021i
\(516\) 30.7796 + 77.2510i 0.00262596 + 0.00659067i
\(517\) 4747.77 1599.71i 0.403881 0.136083i
\(518\) 1165.94 126.803i 0.0988964 0.0107556i
\(519\) 4648.42 + 2150.59i 0.393147 + 0.181889i
\(520\) −21969.7 + 20810.9i −1.85276 + 1.75503i
\(521\) 8913.73 + 5363.21i 0.749554 + 0.450991i 0.838401 0.545054i \(-0.183491\pi\)
−0.0888475 + 0.996045i \(0.528318\pi\)
\(522\) 6415.43 + 697.720i 0.537922 + 0.0585026i
\(523\) −9531.99 + 2098.15i −0.796950 + 0.175422i −0.594738 0.803920i \(-0.702744\pi\)
−0.202212 + 0.979342i \(0.564813\pi\)
\(524\) −31.0043 + 111.668i −0.00258479 + 0.00930958i
\(525\) 1176.36 707.792i 0.0977915 0.0588392i
\(526\) −4909.97 + 2271.59i −0.407005 + 0.188301i
\(527\) −1490.43 + 3740.69i −0.123195 + 0.309197i
\(528\) −158.702 + 2927.08i −0.0130807 + 0.241259i
\(529\) −2858.08 4215.35i −0.234904 0.346458i
\(530\) 676.467 0.0554412
\(531\) −4048.77 + 493.087i −0.330888 + 0.0402979i
\(532\) −41.4400 −0.00337716
\(533\) −10174.2 15005.8i −0.826815 1.21946i
\(534\) −68.6174 + 1265.57i −0.00556061 + 0.102559i
\(535\) −8286.96 + 20798.7i −0.669676 + 1.68076i
\(536\) 9219.32 4265.31i 0.742936 0.343719i
\(537\) 2875.26 1729.98i 0.231055 0.139021i
\(538\) 1983.40 7143.58i 0.158942 0.572456i
\(539\) 4864.14 1070.68i 0.388707 0.0855609i
\(540\) 48.1542 + 5.23709i 0.00383746 + 0.000417349i
\(541\) 20877.8 + 12561.7i 1.65916 + 0.998283i 0.958629 + 0.284660i \(0.0918807\pi\)
0.700530 + 0.713623i \(0.252947\pi\)
\(542\) 9026.00 8549.88i 0.715313 0.677581i
\(543\) 3330.51 + 1540.86i 0.263215 + 0.121776i
\(544\) −73.5030 + 7.99394i −0.00579304 + 0.000630032i
\(545\) 15479.1 5215.50i 1.21661 0.409922i
\(546\) −933.324 2342.47i −0.0731549 0.183605i
\(547\) 3989.11 + 3778.68i 0.311814 + 0.295365i 0.827562 0.561375i \(-0.189727\pi\)
−0.515748 + 0.856740i \(0.672486\pi\)
\(548\) −67.7294 243.939i −0.00527967 0.0190156i
\(549\) −3313.89 6250.66i −0.257620 0.485923i
\(550\) −4460.90 + 3391.09i −0.345843 + 0.262903i
\(551\) 1437.01 + 26504.1i 0.111105 + 2.04921i
\(552\) −8391.03 2827.27i −0.647003 0.218001i
\(553\) 2450.88 + 539.480i 0.188467 + 0.0414847i
\(554\) 2378.32 4485.99i 0.182392 0.344028i
\(555\) −912.218 5564.28i −0.0697685 0.425569i
\(556\) 164.760 193.970i 0.0125672 0.0147953i
\(557\) −3496.86 4116.82i −0.266008 0.313169i 0.612900 0.790161i \(-0.290003\pi\)
−0.878908 + 0.476992i \(0.841727\pi\)
\(558\) 1146.76 6994.90i 0.0870001 0.530677i
\(559\) −16568.5 12595.1i −1.25362 0.952978i
\(560\) 2039.37 3007.85i 0.153891 0.226973i
\(561\) 369.193 544.519i 0.0277849 0.0409797i
\(562\) 14549.1 + 11060.0i 1.09203 + 0.830136i
\(563\) 2543.02 15511.7i 0.190365 1.16118i −0.702780 0.711407i \(-0.748058\pi\)
0.893145 0.449769i \(-0.148494\pi\)
\(564\) −72.4980 85.3512i −0.00541261 0.00637222i
\(565\) 7245.62 8530.20i 0.539514 0.635165i
\(566\) −1871.21 11413.9i −0.138963 0.847636i
\(567\) 132.904 250.683i 0.00984380 0.0185674i
\(568\) 3113.16 + 685.258i 0.229974 + 0.0506211i
\(569\) −16525.3 5568.01i −1.21753 0.410234i −0.364061 0.931375i \(-0.618610\pi\)
−0.853471 + 0.521141i \(0.825507\pi\)
\(570\) 779.830 + 14383.1i 0.0573044 + 1.05692i
\(571\) 8003.80 6084.33i 0.586600 0.445922i −0.269305 0.963055i \(-0.586794\pi\)
0.855905 + 0.517133i \(0.173001\pi\)
\(572\) 66.6790 + 125.770i 0.00487411 + 0.00919355i
\(573\) −1023.61 3686.72i −0.0746283 0.268787i
\(574\) 1558.74 + 1476.51i 0.113346 + 0.107367i
\(575\) −6352.81 15944.4i −0.460749 1.15639i
\(576\) −4303.83 + 1450.13i −0.311331 + 0.104899i
\(577\) 11695.6 1271.97i 0.843835 0.0917726i 0.324019 0.946051i \(-0.394966\pi\)
0.519816 + 0.854278i \(0.326000\pi\)
\(578\) −12151.7 5621.99i −0.874473 0.404574i
\(579\) 95.1047 90.0880i 0.00682628 0.00646620i
\(580\) 386.990 + 232.844i 0.0277049 + 0.0166695i
\(581\) −2189.98 238.174i −0.156378 0.0170071i
\(582\) 7831.41 1723.82i 0.557771 0.122775i
\(583\) −59.8464 + 215.547i −0.00425143 + 0.0153123i
\(584\) 13208.1 7947.02i 0.935879 0.563099i
\(585\) −11002.5 + 5090.30i −0.777602 + 0.359757i
\(586\) −407.636 + 1023.09i −0.0287360 + 0.0721219i
\(587\) −401.097 + 7397.80i −0.0282028 + 0.520170i 0.949965 + 0.312355i \(0.101118\pi\)
−0.978168 + 0.207815i \(0.933365\pi\)
\(588\) −62.4755 92.1445i −0.00438171 0.00646254i
\(589\) 29155.0 2.03958
\(590\) −19640.6 6337.65i −1.37049 0.442232i
\(591\) −4589.37 −0.319427
\(592\) −4280.39 6313.10i −0.297167 0.438289i
\(593\) −452.148 + 8339.38i −0.0313111 + 0.577499i 0.940217 + 0.340576i \(0.110622\pi\)
−0.971528 + 0.236924i \(0.923861\pi\)
\(594\) −428.651 + 1075.83i −0.0296090 + 0.0743131i
\(595\) −740.192 + 342.449i −0.0509998 + 0.0235950i
\(596\) −286.938 + 172.645i −0.0197205 + 0.0118654i
\(597\) −3983.27 + 14346.4i −0.273072 + 0.983518i
\(598\) −30786.8 + 6776.69i −2.10529 + 0.463410i
\(599\) 15717.0 + 1709.32i 1.07208 + 0.116596i 0.627096 0.778942i \(-0.284243\pi\)
0.444986 + 0.895538i \(0.353209\pi\)
\(600\) −7544.62 4539.45i −0.513346 0.308870i
\(601\) −220.709 + 209.066i −0.0149799 + 0.0141897i −0.695153 0.718862i \(-0.744663\pi\)
0.680173 + 0.733052i \(0.261905\pi\)
\(602\) 2236.92 + 1034.91i 0.151445 + 0.0700660i
\(603\) 4045.57 439.983i 0.273215 0.0297139i
\(604\) −267.760 + 90.2189i −0.0180381 + 0.00607774i
\(605\) 6534.82 + 16401.2i 0.439138 + 1.10215i
\(606\) 2037.19 + 1929.73i 0.136560 + 0.129356i
\(607\) −6063.80 21839.8i −0.405473 1.46038i −0.831426 0.555636i \(-0.812475\pi\)
0.425953 0.904745i \(-0.359939\pi\)
\(608\) 250.755 + 472.974i 0.0167261 + 0.0315487i
\(609\) 2106.10 1601.02i 0.140137 0.106530i
\(610\) −1938.05 35745.3i −0.128638 2.37260i
\(611\) 26560.3 + 8949.20i 1.75861 + 0.592546i
\(612\) −14.3613 3.16116i −0.000948564 0.000208795i
\(613\) −3781.70 + 7133.05i −0.249171 + 0.469986i −0.976273 0.216543i \(-0.930522\pi\)
0.727102 + 0.686529i \(0.240867\pi\)
\(614\) −87.6822 534.838i −0.00576314 0.0351536i
\(615\) 6682.55 7867.31i 0.438157 0.515838i
\(616\) 767.226 + 903.248i 0.0501825 + 0.0590794i
\(617\) 3659.82 22323.9i 0.238799 1.45661i −0.546483 0.837471i \(-0.684034\pi\)
0.785282 0.619139i \(-0.212518\pi\)
\(618\) 10557.6 + 8025.69i 0.687200 + 0.522396i
\(619\) −11965.4 + 17647.7i −0.776949 + 1.14591i 0.208843 + 0.977949i \(0.433030\pi\)
−0.985793 + 0.167966i \(0.946280\pi\)
\(620\) 278.394 410.601i 0.0180332 0.0265970i
\(621\) −2823.88 2146.66i −0.182478 0.138716i
\(622\) 3053.28 18624.2i 0.196826 1.20058i
\(623\) 336.376 + 396.013i 0.0216318 + 0.0254669i
\(624\) −10616.5 + 12498.7i −0.681087 + 0.801837i
\(625\) 2408.60 + 14691.8i 0.154150 + 0.940275i
\(626\) −3273.31 + 6174.12i −0.208990 + 0.394198i
\(627\) −4651.98 1023.98i −0.296303 0.0652213i
\(628\) 163.126 + 54.9637i 0.0103654 + 0.00349250i
\(629\) 92.6740 + 1709.27i 0.00587465 + 0.108352i
\(630\) 1142.93 868.833i 0.0722784 0.0549446i
\(631\) −1722.57 3249.12i −0.108676 0.204985i 0.823209 0.567738i \(-0.192181\pi\)
−0.931885 + 0.362754i \(0.881837\pi\)
\(632\) −4305.90 15508.4i −0.271012 0.976096i
\(633\) 4957.66 + 4696.15i 0.311294 + 0.294874i
\(634\) 7788.80 + 19548.4i 0.487907 + 1.22455i
\(635\) −17353.0 + 5846.91i −1.08446 + 0.365398i
\(636\) 4.97092 0.540620i 0.000309921 3.37060e-5i
\(637\) 25287.5 + 11699.2i 1.57288 + 0.727694i
\(638\) −7839.29 + 7425.77i −0.486459 + 0.460798i
\(639\) 1094.21 + 658.365i 0.0677407 + 0.0407582i
\(640\) −23490.9 2554.79i −1.45087 0.157792i
\(641\) −15269.2 + 3361.01i −0.940869 + 0.207101i −0.658821 0.752299i \(-0.728945\pi\)
−0.282048 + 0.959400i \(0.591014\pi\)
\(642\) −3200.93 + 11528.7i −0.196777 + 0.708725i
\(643\) 3394.38 2042.33i 0.208183 0.125259i −0.407644 0.913141i \(-0.633650\pi\)
0.615827 + 0.787882i \(0.288822\pi\)
\(644\) 46.8638 21.6815i 0.00286754 0.00132666i
\(645\) 4386.03 11008.1i 0.267751 0.672005i
\(646\) 236.745 4366.50i 0.0144189 0.265941i
\(647\) −9271.97 13675.1i −0.563398 0.830950i 0.434157 0.900837i \(-0.357046\pi\)
−0.997555 + 0.0698871i \(0.977736\pi\)
\(648\) −1819.74 −0.110318
\(649\) 3756.99 5697.53i 0.227234 0.344603i
\(650\) −31347.4 −1.89161
\(651\) −1630.74 2405.17i −0.0981780 0.144802i
\(652\) 13.9185 256.711i 0.000836025 0.0154196i
\(653\) 683.470 1715.38i 0.0409590 0.102799i −0.907074 0.420971i \(-0.861689\pi\)
0.948033 + 0.318171i \(0.103069\pi\)
\(654\) 7922.32 3665.26i 0.473681 0.219148i
\(655\) 14150.4 8514.02i 0.844126 0.507894i
\(656\) 3735.56 13454.3i 0.222331 0.800764i
\(657\) 6030.78 1327.48i 0.358118 0.0788276i
\(658\) −3299.72 358.866i −0.195496 0.0212615i
\(659\) −15504.5 9328.75i −0.916494 0.551436i −0.0226151 0.999744i \(-0.507199\pi\)
−0.893879 + 0.448308i \(0.852027\pi\)
\(660\) −58.8418 + 55.7379i −0.00347032 + 0.00328727i
\(661\) −17156.3 7937.35i −1.00954 0.467061i −0.155811 0.987787i \(-0.549799\pi\)
−0.853724 + 0.520726i \(0.825661\pi\)
\(662\) −23153.2 + 2518.07i −1.35933 + 0.147836i
\(663\) 3487.69 1175.14i 0.204300 0.0688366i
\(664\) 5229.43 + 13124.9i 0.305634 + 0.767084i
\(665\) 4287.08 + 4060.94i 0.249994 + 0.236807i
\(666\) −806.144 2903.47i −0.0469031 0.168930i
\(667\) −15492.1 29221.2i −0.899336 1.69633i
\(668\) −214.817 + 163.300i −0.0124424 + 0.00945846i
\(669\) −22.5613 416.120i −0.00130384 0.0240480i
\(670\) 19513.1 + 6574.72i 1.12516 + 0.379110i
\(671\) 11561.2 + 2544.82i 0.665150 + 0.146411i
\(672\) 24.9928 47.1414i 0.00143470 0.00270613i
\(673\) −2546.28 15531.6i −0.145842 0.889598i −0.953819 0.300383i \(-0.902885\pi\)
0.807976 0.589215i \(-0.200563\pi\)
\(674\) 1851.45 2179.70i 0.105809 0.124568i
\(675\) −2283.55 2688.40i −0.130213 0.153299i
\(676\) −88.9551 + 542.602i −0.00506117 + 0.0308717i
\(677\) −8074.95 6138.42i −0.458413 0.348476i 0.350342 0.936622i \(-0.386065\pi\)
−0.808755 + 0.588145i \(0.799858\pi\)
\(678\) 3356.56 4950.55i 0.190130 0.280420i
\(679\) 1844.84 2720.94i 0.104269 0.153785i
\(680\) 4164.11 + 3165.48i 0.234833 + 0.178515i
\(681\) 900.089 5490.30i 0.0506483 0.308941i
\(682\) 7678.36 + 9039.67i 0.431114 + 0.507547i
\(683\) −8975.32 + 10566.6i −0.502828 + 0.591974i −0.953755 0.300587i \(-0.902818\pi\)
0.450927 + 0.892561i \(0.351093\pi\)
\(684\) 17.2252 + 105.069i 0.000962898 + 0.00587342i
\(685\) −16898.2 + 31873.4i −0.942550 + 1.77784i
\(686\) −6564.61 1444.98i −0.365361 0.0804221i
\(687\) 8384.34 + 2825.01i 0.465622 + 0.156886i
\(688\) −867.809 16005.8i −0.0480885 0.886941i
\(689\) −996.265 + 757.341i −0.0550866 + 0.0418758i
\(690\) −8407.19 15857.6i −0.463850 0.874913i
\(691\) −3939.86 14190.1i −0.216902 0.781210i −0.989278 0.146044i \(-0.953346\pi\)
0.772376 0.635165i \(-0.219068\pi\)
\(692\) 139.073 + 131.737i 0.00763984 + 0.00723684i
\(693\) 175.728 + 441.044i 0.00963255 + 0.0241759i
\(694\) 34342.1 11571.2i 1.87840 0.632905i
\(695\) −36053.1 + 3921.01i −1.96773 + 0.214004i
\(696\) −15399.1 7124.39i −0.838653 0.388002i
\(697\) −2275.06 + 2155.05i −0.123636 + 0.117114i
\(698\) 8996.07 + 5412.76i 0.487831 + 0.293518i
\(699\) −1790.44 194.722i −0.0968820 0.0105365i
\(700\) 50.1469 11.0382i 0.00270768 0.000596005i
\(701\) 9236.04 33265.2i 0.497632 1.79231i −0.105211 0.994450i \(-0.533552\pi\)
0.602843 0.797860i \(-0.294034\pi\)
\(702\) −5551.26 + 3340.08i −0.298460 + 0.179577i
\(703\) 11248.6 5204.15i 0.603482 0.279201i
\(704\) 2812.77 7059.52i 0.150583 0.377934i
\(705\) −863.933 + 15934.3i −0.0461526 + 0.851235i
\(706\) −20729.7 30574.0i −1.10506 1.62984i
\(707\) 1150.36 0.0611936
\(708\) −149.391 30.8749i −0.00793003 0.00163891i
\(709\) 2956.94 0.156629 0.0783146 0.996929i \(-0.475046\pi\)
0.0783146 + 0.996929i \(0.475046\pi\)
\(710\) 3626.13 + 5348.14i 0.191671 + 0.282693i
\(711\) 349.077 6438.34i 0.0184126 0.339601i
\(712\) 1233.45 3095.73i 0.0649236 0.162946i
\(713\) −32970.9 + 15254.0i −1.73180 + 0.801214i
\(714\) −373.460 + 224.704i −0.0195748 + 0.0117778i
\(715\) 5426.78 19545.5i 0.283847 1.02232i
\(716\) 122.569 26.9795i 0.00639751 0.00140820i
\(717\) −1428.54 155.363i −0.0744070 0.00809225i
\(718\) 20067.5 + 12074.2i 1.04305 + 0.627584i
\(719\) 15641.6 14816.5i 0.811310 0.768514i −0.164676 0.986348i \(-0.552658\pi\)
0.975986 + 0.217834i \(0.0698992\pi\)
\(720\) −8473.95 3920.47i −0.438619 0.202927i
\(721\) 5404.87 587.816i 0.279179 0.0303625i
\(722\) −11491.4 + 3871.90i −0.592333 + 0.199580i
\(723\) −6208.61 15582.4i −0.319365 0.801545i
\(724\) 99.6434 + 94.3873i 0.00511494 + 0.00484513i
\(725\) −8798.72 31690.1i −0.450726 1.62337i
\(726\) 4419.46 + 8335.99i 0.225925 + 0.426140i
\(727\) 11694.4 8889.82i 0.596589 0.453515i −0.262791 0.964853i \(-0.584643\pi\)
0.859380 + 0.511338i \(0.170850\pi\)
\(728\) 358.932 + 6620.11i 0.0182732 + 0.337030i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) 30515.2 + 6716.91i 1.54715 + 0.340553i
\(731\) −1685.05 + 3178.34i −0.0852582 + 0.160814i
\(732\) −42.8085 261.120i −0.00216154 0.0131848i
\(733\) −6632.04 + 7807.84i −0.334188 + 0.393437i −0.903432 0.428732i \(-0.858960\pi\)
0.569243 + 0.822169i \(0.307236\pi\)
\(734\) 1743.74 + 2052.90i 0.0876877 + 0.103234i
\(735\) −2566.50 + 15654.9i −0.128798 + 0.785634i
\(736\) −531.036 403.683i −0.0265955 0.0202173i
\(737\) −3821.25 + 5635.92i −0.190987 + 0.281685i
\(738\) 3095.72 4565.84i 0.154410 0.227738i
\(739\) 29879.7 + 22714.0i 1.48734 + 1.13064i 0.959647 + 0.281208i \(0.0907351\pi\)
0.527691 + 0.849437i \(0.323058\pi\)
\(740\) 34.1181 208.111i 0.00169487 0.0103383i
\(741\) −17251.2 20309.6i −0.855246 1.00687i
\(742\) 95.9449 112.955i 0.00474697 0.00558856i
\(743\) 1660.14 + 10126.4i 0.0819714 + 0.500004i 0.995620 + 0.0934976i \(0.0298047\pi\)
−0.913648 + 0.406506i \(0.866747\pi\)
\(744\) −8729.71 + 16466.0i −0.430170 + 0.811388i
\(745\) 46602.9 + 10258.1i 2.29181 + 0.504466i
\(746\) 13485.4 + 4543.75i 0.661843 + 0.223001i
\(747\) 306.420 + 5651.58i 0.0150085 + 0.276815i
\(748\) 19.5883 14.8906i 0.000957511 0.000727881i
\(749\) 2297.57 + 4333.67i 0.112084 + 0.211414i
\(750\) −206.208 742.695i −0.0100396 0.0361592i
\(751\) −6450.26 6110.01i −0.313413 0.296881i 0.514781 0.857322i \(-0.327873\pi\)
−0.828194 + 0.560441i \(0.810632\pi\)
\(752\) 7989.90 + 20053.1i 0.387449 + 0.972424i
\(753\) 8926.47 3007.68i 0.432003 0.145559i
\(754\) −60052.8 + 6531.13i −2.90052 + 0.315451i
\(755\) 36541.6 + 16905.9i 1.76144 + 0.814927i
\(756\) 7.70430 7.29790i 0.000370639 0.000351088i
\(757\) −24189.5 14554.3i −1.16140 0.698793i −0.201600 0.979468i \(-0.564614\pi\)
−0.959803 + 0.280675i \(0.909442\pi\)
\(758\) 38679.8 + 4206.68i 1.85345 + 0.201575i
\(759\) 5796.60 1275.93i 0.277211 0.0610188i
\(760\) 10132.0 36492.1i 0.483587 1.74172i
\(761\) −26660.4 + 16041.0i −1.26996 + 0.764109i −0.981144 0.193276i \(-0.938089\pi\)
−0.288815 + 0.957385i \(0.593261\pi\)
\(762\) −8881.43 + 4108.99i −0.422231 + 0.195345i
\(763\) 1324.56 3324.39i 0.0628469 0.157734i
\(764\) 7.74750 142.894i 0.000366878 0.00676667i
\(765\) 1175.94 + 1734.38i 0.0555766 + 0.0819693i
\(766\) 7594.42 0.358221
\(767\) 36021.0 12654.9i 1.69575 0.595754i
\(768\) −516.934 −0.0242881
\(769\) 2983.33 + 4400.08i 0.139898 + 0.206334i 0.891183 0.453644i \(-0.149876\pi\)
−0.751285 + 0.659978i \(0.770566\pi\)
\(770\) −130.056 + 2398.74i −0.00608686 + 0.112266i
\(771\) 6370.24 15988.1i