Properties

Label 105.4.s.a.26.5
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.5
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.51429 - 1.45163i) q^{2} +(-2.26232 + 4.67781i) q^{3} +(0.214449 + 0.371437i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(12.4786 - 8.47733i) q^{6} +(17.9959 + 4.37591i) q^{7} +21.9809i q^{8} +(-16.7638 - 21.1654i) q^{9} +O(q^{10})\) \(q+(-2.51429 - 1.45163i) q^{2} +(-2.26232 + 4.67781i) q^{3} +(0.214449 + 0.371437i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(12.4786 - 8.47733i) q^{6} +(17.9959 + 4.37591i) q^{7} +21.9809i q^{8} +(-16.7638 - 21.1654i) q^{9} +(12.5715 - 7.25814i) q^{10} +(-28.8369 + 16.6490i) q^{11} +(-2.22266 + 0.162842i) q^{12} -62.4189i q^{13} +(-38.8947 - 37.1256i) q^{14} +(-14.5997 - 21.4907i) q^{15} +(33.6236 - 58.2378i) q^{16} +(-34.7249 - 60.1453i) q^{17} +(11.4247 + 77.5509i) q^{18} +(-71.6103 - 41.3442i) q^{19} -2.14449 q^{20} +(-61.1822 + 74.2815i) q^{21} +96.6726 q^{22} +(-49.8101 - 28.7578i) q^{23} +(-102.822 - 49.7278i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(-90.6091 + 156.940i) q^{26} +(136.933 - 30.5347i) q^{27} +(2.23383 + 7.62274i) q^{28} -114.270i q^{29} +(5.51146 + 75.2272i) q^{30} +(-187.647 + 108.338i) q^{31} +(-16.7915 + 9.69458i) q^{32} +(-12.6424 - 172.559i) q^{33} +201.630i q^{34} +(-63.9379 + 66.9846i) q^{35} +(4.26664 - 10.7656i) q^{36} +(136.662 - 236.705i) q^{37} +(120.033 + 207.903i) q^{38} +(291.984 + 141.212i) q^{39} +(-95.1799 - 54.9521i) q^{40} +36.2347 q^{41} +(261.659 - 97.9518i) q^{42} +185.189 q^{43} +(-12.3681 - 7.14072i) q^{44} +(133.558 - 19.6757i) q^{45} +(83.4914 + 144.611i) q^{46} +(-25.2220 + 43.6858i) q^{47} +(196.358 + 289.038i) q^{48} +(304.703 + 157.497i) q^{49} +72.5814i q^{50} +(359.907 - 26.3683i) q^{51} +(23.1847 - 13.3857i) q^{52} +(-204.020 + 117.791i) q^{53} +(-388.615 - 122.003i) q^{54} -166.490i q^{55} +(-96.1862 + 395.565i) q^{56} +(355.406 - 241.445i) q^{57} +(-165.877 + 287.308i) q^{58} +(-267.247 - 462.886i) q^{59} +(4.85153 - 10.0315i) q^{60} +(-313.636 - 181.078i) q^{61} +629.065 q^{62} +(-209.061 - 454.247i) q^{63} -481.686 q^{64} +(270.282 + 156.047i) q^{65} +(-218.705 + 452.216i) q^{66} +(232.792 + 403.208i) q^{67} +(14.8934 - 25.7962i) q^{68} +(247.210 - 167.942i) q^{69} +(257.996 - 75.6050i) q^{70} -1073.13i q^{71} +(465.234 - 368.482i) q^{72} +(-771.170 + 445.235i) q^{73} +(-687.216 + 396.764i) q^{74} +(129.557 - 9.49185i) q^{75} -35.4649i q^{76} +(-591.800 + 173.425i) q^{77} +(-529.146 - 778.900i) q^{78} +(-636.565 + 1102.56i) q^{79} +(168.118 + 291.189i) q^{80} +(-166.951 + 709.625i) q^{81} +(-91.1047 - 52.5993i) q^{82} -245.617 q^{83} +(-40.7113 - 6.79570i) q^{84} +347.249 q^{85} +(-465.620 - 268.826i) q^{86} +(534.532 + 258.515i) q^{87} +(-365.959 - 633.859i) q^{88} +(-548.825 + 950.594i) q^{89} +(-364.367 - 144.407i) q^{90} +(273.140 - 1123.28i) q^{91} -24.6684i q^{92} +(-82.2661 - 1122.87i) q^{93} +(126.831 - 73.2259i) q^{94} +(358.052 - 206.721i) q^{95} +(-7.36156 - 100.480i) q^{96} -1089.48i q^{97} +(-537.486 - 838.308i) q^{98} +(835.798 + 331.245i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.51429 1.45163i −0.888937 0.513228i −0.0153424 0.999882i \(-0.504884\pi\)
−0.873595 + 0.486654i \(0.838217\pi\)
\(3\) −2.26232 + 4.67781i −0.435384 + 0.900245i
\(4\) 0.214449 + 0.371437i 0.0268061 + 0.0464296i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) 12.4786 8.47733i 0.849060 0.576809i
\(7\) 17.9959 + 4.37591i 0.971686 + 0.236277i
\(8\) 21.9809i 0.971426i
\(9\) −16.7638 21.1654i −0.620881 0.783905i
\(10\) 12.5715 7.25814i 0.397545 0.229523i
\(11\) −28.8369 + 16.6490i −0.790423 + 0.456351i −0.840111 0.542414i \(-0.817510\pi\)
0.0496886 + 0.998765i \(0.484177\pi\)
\(12\) −2.22266 + 0.162842i −0.0534690 + 0.00391736i
\(13\) 62.4189i 1.33168i −0.746093 0.665842i \(-0.768072\pi\)
0.746093 0.665842i \(-0.231928\pi\)
\(14\) −38.8947 37.1256i −0.742504 0.708732i
\(15\) −14.5997 21.4907i −0.251308 0.369924i
\(16\) 33.6236 58.2378i 0.525369 0.909966i
\(17\) −34.7249 60.1453i −0.495413 0.858080i 0.504573 0.863369i \(-0.331650\pi\)
−0.999986 + 0.00528856i \(0.998317\pi\)
\(18\) 11.4247 + 77.5509i 0.149602 + 1.01550i
\(19\) −71.6103 41.3442i −0.864659 0.499211i 0.000910397 1.00000i \(-0.499710\pi\)
−0.865570 + 0.500788i \(0.833044\pi\)
\(20\) −2.14449 −0.0239761
\(21\) −61.1822 + 74.2815i −0.635764 + 0.771884i
\(22\) 96.6726 0.936848
\(23\) −49.8101 28.7578i −0.451570 0.260714i 0.256923 0.966432i \(-0.417291\pi\)
−0.708493 + 0.705718i \(0.750625\pi\)
\(24\) −102.822 49.7278i −0.874521 0.422944i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) −90.6091 + 156.940i −0.683458 + 1.18378i
\(27\) 136.933 30.5347i 0.976028 0.217645i
\(28\) 2.23383 + 7.62274i 0.0150769 + 0.0514486i
\(29\) 114.270i 0.731702i −0.930673 0.365851i \(-0.880778\pi\)
0.930673 0.365851i \(-0.119222\pi\)
\(30\) 5.51146 + 75.2272i 0.0335417 + 0.457818i
\(31\) −187.647 + 108.338i −1.08717 + 0.627679i −0.932822 0.360337i \(-0.882662\pi\)
−0.154350 + 0.988016i \(0.549328\pi\)
\(32\) −16.7915 + 9.69458i −0.0927608 + 0.0535555i
\(33\) −12.6424 172.559i −0.0666896 0.910262i
\(34\) 201.630i 1.01704i
\(35\) −63.9379 + 66.9846i −0.308785 + 0.323499i
\(36\) 4.26664 10.7656i 0.0197530 0.0498407i
\(37\) 136.662 236.705i 0.607218 1.05173i −0.384479 0.923134i \(-0.625619\pi\)
0.991697 0.128598i \(-0.0410477\pi\)
\(38\) 120.033 + 207.903i 0.512419 + 0.887535i
\(39\) 291.984 + 141.212i 1.19884 + 0.579795i
\(40\) −95.1799 54.9521i −0.376231 0.217217i
\(41\) 36.2347 0.138022 0.0690111 0.997616i \(-0.478016\pi\)
0.0690111 + 0.997616i \(0.478016\pi\)
\(42\) 261.659 97.9518i 0.961306 0.359864i
\(43\) 185.189 0.656769 0.328385 0.944544i \(-0.393496\pi\)
0.328385 + 0.944544i \(0.393496\pi\)
\(44\) −12.3681 7.14072i −0.0423764 0.0244660i
\(45\) 133.558 19.6757i 0.442438 0.0651796i
\(46\) 83.4914 + 144.611i 0.267612 + 0.463517i
\(47\) −25.2220 + 43.6858i −0.0782767 + 0.135579i −0.902507 0.430676i \(-0.858275\pi\)
0.824230 + 0.566255i \(0.191608\pi\)
\(48\) 196.358 + 289.038i 0.590454 + 0.869146i
\(49\) 304.703 + 157.497i 0.888346 + 0.459174i
\(50\) 72.5814i 0.205291i
\(51\) 359.907 26.3683i 0.988177 0.0723980i
\(52\) 23.1847 13.3857i 0.0618295 0.0356973i
\(53\) −204.020 + 117.791i −0.528761 + 0.305280i −0.740512 0.672043i \(-0.765417\pi\)
0.211751 + 0.977324i \(0.432083\pi\)
\(54\) −388.615 122.003i −0.979329 0.307453i
\(55\) 166.490i 0.408173i
\(56\) −96.1862 + 395.565i −0.229525 + 0.943920i
\(57\) 355.406 241.445i 0.825872 0.561056i
\(58\) −165.877 + 287.308i −0.375530 + 0.650437i
\(59\) −267.247 462.886i −0.589705 1.02140i −0.994271 0.106891i \(-0.965911\pi\)
0.404565 0.914509i \(-0.367423\pi\)
\(60\) 4.85153 10.0315i 0.0104388 0.0215844i
\(61\) −313.636 181.078i −0.658311 0.380076i 0.133322 0.991073i \(-0.457435\pi\)
−0.791633 + 0.610997i \(0.790769\pi\)
\(62\) 629.065 1.28857
\(63\) −209.061 454.247i −0.418082 0.908409i
\(64\) −481.686 −0.940793
\(65\) 270.282 + 156.047i 0.515759 + 0.297774i
\(66\) −218.705 + 452.216i −0.407889 + 0.843393i
\(67\) 232.792 + 403.208i 0.424479 + 0.735219i 0.996372 0.0851094i \(-0.0271240\pi\)
−0.571893 + 0.820328i \(0.693791\pi\)
\(68\) 14.8934 25.7962i 0.0265602 0.0460036i
\(69\) 247.210 167.942i 0.431313 0.293013i
\(70\) 257.996 75.6050i 0.440519 0.129093i
\(71\) 1073.13i 1.79377i −0.442265 0.896885i \(-0.645825\pi\)
0.442265 0.896885i \(-0.354175\pi\)
\(72\) 465.234 368.482i 0.761505 0.603139i
\(73\) −771.170 + 445.235i −1.23642 + 0.713847i −0.968360 0.249556i \(-0.919715\pi\)
−0.268059 + 0.963403i \(0.586382\pi\)
\(74\) −687.216 + 396.764i −1.07956 + 0.623282i
\(75\) 129.557 9.49185i 0.199465 0.0146137i
\(76\) 35.4649i 0.0535277i
\(77\) −591.800 + 173.425i −0.875868 + 0.256671i
\(78\) −529.146 778.900i −0.768128 1.13068i
\(79\) −636.565 + 1102.56i −0.906572 + 1.57023i −0.0877784 + 0.996140i \(0.527977\pi\)
−0.818793 + 0.574088i \(0.805357\pi\)
\(80\) 168.118 + 291.189i 0.234952 + 0.406949i
\(81\) −166.951 + 709.625i −0.229014 + 0.973423i
\(82\) −91.1047 52.5993i −0.122693 0.0708368i
\(83\) −245.617 −0.324819 −0.162409 0.986723i \(-0.551927\pi\)
−0.162409 + 0.986723i \(0.551927\pi\)
\(84\) −40.7113 6.79570i −0.0528806 0.00882704i
\(85\) 347.249 0.443111
\(86\) −465.620 268.826i −0.583826 0.337072i
\(87\) 534.532 + 258.515i 0.658711 + 0.318572i
\(88\) −365.959 633.859i −0.443311 0.767837i
\(89\) −548.825 + 950.594i −0.653656 + 1.13217i 0.328573 + 0.944479i \(0.393432\pi\)
−0.982229 + 0.187687i \(0.939901\pi\)
\(90\) −364.367 144.407i −0.426752 0.169131i
\(91\) 273.140 1123.28i 0.314646 1.29398i
\(92\) 24.6684i 0.0279550i
\(93\) −82.2661 1122.87i −0.0917269 1.25200i
\(94\) 126.831 73.2259i 0.139166 0.0803476i
\(95\) 358.052 206.721i 0.386687 0.223254i
\(96\) −7.36156 100.480i −0.00782642 0.106825i
\(97\) 1089.48i 1.14042i −0.821501 0.570208i \(-0.806863\pi\)
0.821501 0.570208i \(-0.193137\pi\)
\(98\) −537.486 838.308i −0.554023 0.864101i
\(99\) 835.798 + 331.245i 0.848494 + 0.336277i
\(100\) 5.36123 9.28592i 0.00536123 0.00928592i
\(101\) −705.971 1222.78i −0.695512 1.20466i −0.970008 0.243074i \(-0.921844\pi\)
0.274495 0.961588i \(-0.411489\pi\)
\(102\) −943.189 456.153i −0.915584 0.442803i
\(103\) 1199.96 + 692.797i 1.14792 + 0.662751i 0.948379 0.317139i \(-0.102722\pi\)
0.199539 + 0.979890i \(0.436055\pi\)
\(104\) 1372.02 1.29363
\(105\) −168.693 450.630i −0.156788 0.418829i
\(106\) 683.955 0.626713
\(107\) 863.164 + 498.348i 0.779862 + 0.450253i 0.836381 0.548148i \(-0.184667\pi\)
−0.0565196 + 0.998401i \(0.518000\pi\)
\(108\) 40.7068 + 44.3138i 0.0362687 + 0.0394824i
\(109\) −613.752 1063.05i −0.539328 0.934144i −0.998940 0.0460241i \(-0.985345\pi\)
0.459612 0.888120i \(-0.347988\pi\)
\(110\) −241.681 + 418.604i −0.209486 + 0.362840i
\(111\) 798.088 + 1174.78i 0.682443 + 1.00455i
\(112\) 859.930 900.906i 0.725497 0.760068i
\(113\) 1400.91i 1.16625i 0.812381 + 0.583127i \(0.198171\pi\)
−0.812381 + 0.583127i \(0.801829\pi\)
\(114\) −1244.08 + 91.1468i −1.02210 + 0.0748831i
\(115\) 249.050 143.789i 0.201948 0.116595i
\(116\) 42.4440 24.5050i 0.0339726 0.0196141i
\(117\) −1321.12 + 1046.38i −1.04391 + 0.826817i
\(118\) 1551.77i 1.21061i
\(119\) −361.714 1234.32i −0.278641 0.950839i
\(120\) 472.383 320.914i 0.359354 0.244127i
\(121\) −111.122 + 192.470i −0.0834879 + 0.144605i
\(122\) 525.715 + 910.565i 0.390131 + 0.675727i
\(123\) −81.9746 + 169.499i −0.0600927 + 0.124254i
\(124\) −80.4813 46.4659i −0.0582857 0.0336513i
\(125\) 125.000 0.0894427
\(126\) −133.758 + 1445.59i −0.0945721 + 1.02209i
\(127\) 596.757 0.416957 0.208479 0.978027i \(-0.433149\pi\)
0.208479 + 0.978027i \(0.433149\pi\)
\(128\) 1345.43 + 776.786i 0.929067 + 0.536397i
\(129\) −418.958 + 866.279i −0.285947 + 0.591253i
\(130\) −453.045 784.698i −0.305652 0.529404i
\(131\) 604.858 1047.64i 0.403410 0.698726i −0.590725 0.806873i \(-0.701158\pi\)
0.994135 + 0.108147i \(0.0344917\pi\)
\(132\) 61.3836 41.7009i 0.0404754 0.0274970i
\(133\) −1107.77 1057.39i −0.722225 0.689376i
\(134\) 1351.71i 0.871418i
\(135\) −210.113 + 669.274i −0.133953 + 0.426681i
\(136\) 1322.04 763.282i 0.833561 0.481257i
\(137\) 866.174 500.086i 0.540162 0.311863i −0.204982 0.978766i \(-0.565714\pi\)
0.745145 + 0.666903i \(0.232380\pi\)
\(138\) −865.349 + 63.3991i −0.533793 + 0.0391079i
\(139\) 2301.17i 1.40419i 0.712083 + 0.702095i \(0.247752\pi\)
−0.712083 + 0.702095i \(0.752248\pi\)
\(140\) −38.5920 9.38410i −0.0232973 0.00566501i
\(141\) −147.293 216.815i −0.0879740 0.129497i
\(142\) −1557.79 + 2698.17i −0.920613 + 1.59455i
\(143\) 1039.21 + 1799.97i 0.607715 + 1.05259i
\(144\) −1796.29 + 264.627i −1.03952 + 0.153141i
\(145\) 494.803 + 285.674i 0.283387 + 0.163614i
\(146\) 2585.26 1.46547
\(147\) −1426.08 + 1069.03i −0.800141 + 0.599812i
\(148\) 117.228 0.0651086
\(149\) 28.5233 + 16.4679i 0.0156827 + 0.00905441i 0.507821 0.861463i \(-0.330451\pi\)
−0.492138 + 0.870517i \(0.663785\pi\)
\(150\) −339.522 164.203i −0.184812 0.0893806i
\(151\) −810.825 1404.39i −0.436980 0.756872i 0.560475 0.828171i \(-0.310619\pi\)
−0.997455 + 0.0712997i \(0.977285\pi\)
\(152\) 908.781 1574.06i 0.484947 0.839952i
\(153\) −690.880 + 1743.23i −0.365061 + 0.921122i
\(154\) 1739.71 + 423.030i 0.910322 + 0.221356i
\(155\) 1083.38i 0.561413i
\(156\) 10.1644 + 138.736i 0.00521668 + 0.0712038i
\(157\) −2241.73 + 1294.27i −1.13955 + 0.657921i −0.946320 0.323231i \(-0.895231\pi\)
−0.193233 + 0.981153i \(0.561897\pi\)
\(158\) 3201.02 1848.11i 1.61177 0.930556i
\(159\) −89.4445 1220.85i −0.0446126 0.608928i
\(160\) 96.9458i 0.0479015i
\(161\) −770.534 735.487i −0.377184 0.360028i
\(162\) 1449.88 1541.86i 0.703167 0.747775i
\(163\) 442.014 765.590i 0.212400 0.367887i −0.740065 0.672535i \(-0.765205\pi\)
0.952465 + 0.304648i \(0.0985387\pi\)
\(164\) 7.77050 + 13.4589i 0.00369984 + 0.00640831i
\(165\) 778.808 + 376.654i 0.367455 + 0.177712i
\(166\) 617.553 + 356.544i 0.288743 + 0.166706i
\(167\) −2610.26 −1.20951 −0.604755 0.796412i \(-0.706729\pi\)
−0.604755 + 0.796412i \(0.706729\pi\)
\(168\) −1632.77 1344.84i −0.749827 0.617597i
\(169\) −1699.12 −0.773383
\(170\) −873.086 504.076i −0.393898 0.227417i
\(171\) 325.391 + 2208.75i 0.145516 + 0.987762i
\(172\) 39.7136 + 68.7860i 0.0176054 + 0.0304935i
\(173\) −1724.06 + 2986.16i −0.757676 + 1.31233i 0.186357 + 0.982482i \(0.440332\pi\)
−0.944033 + 0.329851i \(0.893001\pi\)
\(174\) −968.702 1425.92i −0.422053 0.621259i
\(175\) −130.207 444.321i −0.0562442 0.191929i
\(176\) 2239.20i 0.959010i
\(177\) 2769.89 202.934i 1.17626 0.0861776i
\(178\) 2759.82 1593.38i 1.16212 0.670949i
\(179\) 2558.65 1477.24i 1.06839 0.616837i 0.140651 0.990059i \(-0.455080\pi\)
0.927742 + 0.373222i \(0.121747\pi\)
\(180\) 35.9498 + 45.3891i 0.0148863 + 0.0187950i
\(181\) 2539.38i 1.04282i −0.853306 0.521410i \(-0.825406\pi\)
0.853306 0.521410i \(-0.174594\pi\)
\(182\) −2317.34 + 2427.77i −0.943807 + 0.988780i
\(183\) 1556.59 1057.47i 0.628780 0.427162i
\(184\) 632.122 1094.87i 0.253264 0.438667i
\(185\) 683.309 + 1183.53i 0.271556 + 0.470349i
\(186\) −1423.15 + 2942.64i −0.561023 + 1.16003i
\(187\) 2002.72 + 1156.27i 0.783171 + 0.452164i
\(188\) −21.6353 −0.00839318
\(189\) 2597.84 + 49.7079i 0.999817 + 0.0191308i
\(190\) −1200.33 −0.458321
\(191\) 1555.12 + 897.850i 0.589134 + 0.340137i 0.764755 0.644321i \(-0.222860\pi\)
−0.175621 + 0.984458i \(0.556193\pi\)
\(192\) 1089.73 2253.24i 0.409607 0.846944i
\(193\) 494.835 + 857.079i 0.184554 + 0.319658i 0.943426 0.331582i \(-0.107582\pi\)
−0.758872 + 0.651240i \(0.774249\pi\)
\(194\) −1581.52 + 2739.28i −0.585293 + 1.01376i
\(195\) −1341.42 + 911.297i −0.492623 + 0.334663i
\(196\) 6.84323 + 146.953i 0.00249389 + 0.0535542i
\(197\) 4865.52i 1.75966i −0.475285 0.879832i \(-0.657655\pi\)
0.475285 0.879832i \(-0.342345\pi\)
\(198\) −1620.60 2046.12i −0.581671 0.734400i
\(199\) 484.969 279.997i 0.172756 0.0997410i −0.411128 0.911577i \(-0.634865\pi\)
0.583885 + 0.811836i \(0.301532\pi\)
\(200\) 475.899 274.761i 0.168256 0.0971426i
\(201\) −2412.78 + 176.770i −0.846689 + 0.0620319i
\(202\) 4099.23i 1.42783i
\(203\) 500.034 2056.38i 0.172884 0.710984i
\(204\) 86.9759 + 128.028i 0.0298506 + 0.0439400i
\(205\) −90.5867 + 156.901i −0.0308627 + 0.0534557i
\(206\) −2011.37 3483.79i −0.680285 1.17829i
\(207\) 226.332 + 1536.34i 0.0759961 + 0.515861i
\(208\) −3635.14 2098.75i −1.21179 0.699626i
\(209\) 2753.36 0.911262
\(210\) −230.004 + 1377.90i −0.0755799 + 0.452780i
\(211\) −1468.79 −0.479223 −0.239611 0.970869i \(-0.577020\pi\)
−0.239611 + 0.970869i \(0.577020\pi\)
\(212\) −87.5039 50.5204i −0.0283481 0.0163668i
\(213\) 5019.92 + 2427.78i 1.61483 + 0.780979i
\(214\) −1446.83 2505.99i −0.462165 0.800494i
\(215\) −462.973 + 801.892i −0.146858 + 0.254366i
\(216\) 671.178 + 3009.90i 0.211425 + 0.948139i
\(217\) −3850.94 + 1128.51i −1.20470 + 0.353033i
\(218\) 3563.76i 1.10719i
\(219\) −338.089 4614.65i −0.104319 1.42388i
\(220\) 61.8405 35.7036i 0.0189513 0.0109415i
\(221\) −3754.20 + 2167.49i −1.14269 + 0.659734i
\(222\) −301.282 4112.27i −0.0910844 1.24323i
\(223\) 960.120i 0.288316i −0.989555 0.144158i \(-0.953953\pi\)
0.989555 0.144158i \(-0.0460473\pi\)
\(224\) −344.600 + 100.984i −0.102788 + 0.0301219i
\(225\) −248.698 + 627.514i −0.0736883 + 0.185930i
\(226\) 2033.60 3522.30i 0.598554 1.03673i
\(227\) −1556.85 2696.55i −0.455207 0.788441i 0.543493 0.839413i \(-0.317101\pi\)
−0.998700 + 0.0509723i \(0.983768\pi\)
\(228\) 165.898 + 80.2332i 0.0481880 + 0.0233051i
\(229\) 5409.25 + 3123.03i 1.56093 + 0.901205i 0.997163 + 0.0752730i \(0.0239828\pi\)
0.563770 + 0.825932i \(0.309351\pi\)
\(230\) −834.914 −0.239359
\(231\) 527.591 3160.67i 0.150273 0.900246i
\(232\) 2511.75 0.710794
\(233\) −3367.44 1944.20i −0.946818 0.546646i −0.0547271 0.998501i \(-0.517429\pi\)
−0.892091 + 0.451856i \(0.850762\pi\)
\(234\) 4840.64 713.119i 1.35232 0.199222i
\(235\) −126.110 218.429i −0.0350064 0.0606329i
\(236\) 114.622 198.531i 0.0316154 0.0547596i
\(237\) −3717.46 5472.08i −1.01888 1.49979i
\(238\) −882.317 + 3628.52i −0.240303 + 0.988243i
\(239\) 5875.59i 1.59021i 0.606471 + 0.795105i \(0.292584\pi\)
−0.606471 + 0.795105i \(0.707416\pi\)
\(240\) −1742.46 + 127.660i −0.468648 + 0.0343351i
\(241\) −2812.36 + 1623.72i −0.751702 + 0.433995i −0.826309 0.563218i \(-0.809563\pi\)
0.0746065 + 0.997213i \(0.476230\pi\)
\(242\) 558.789 322.617i 0.148431 0.0856967i
\(243\) −2941.79 2386.37i −0.776610 0.629982i
\(244\) 155.328i 0.0407535i
\(245\) −1443.74 + 925.660i −0.376478 + 0.241381i
\(246\) 452.158 307.173i 0.117189 0.0796125i
\(247\) −2580.66 + 4469.84i −0.664792 + 1.15145i
\(248\) −2381.36 4124.63i −0.609743 1.05611i
\(249\) 555.665 1148.95i 0.141421 0.292416i
\(250\) −314.287 181.454i −0.0795090 0.0459045i
\(251\) −1187.97 −0.298741 −0.149370 0.988781i \(-0.547725\pi\)
−0.149370 + 0.988781i \(0.547725\pi\)
\(252\) 123.891 175.066i 0.0309699 0.0437623i
\(253\) 1915.16 0.475908
\(254\) −1500.42 866.269i −0.370649 0.213994i
\(255\) −785.589 + 1624.36i −0.192924 + 0.398908i
\(256\) −328.464 568.916i −0.0801914 0.138896i
\(257\) 310.867 538.437i 0.0754526 0.130688i −0.825830 0.563919i \(-0.809293\pi\)
0.901283 + 0.433231i \(0.142627\pi\)
\(258\) 2310.90 1569.91i 0.557636 0.378831i
\(259\) 3495.15 3661.70i 0.838525 0.878481i
\(260\) 133.857i 0.0319286i
\(261\) −2418.57 + 1915.59i −0.573585 + 0.454300i
\(262\) −3041.58 + 1756.06i −0.717211 + 0.414082i
\(263\) 412.211 237.990i 0.0966465 0.0557989i −0.450898 0.892576i \(-0.648896\pi\)
0.547544 + 0.836777i \(0.315563\pi\)
\(264\) 3792.99 277.890i 0.884252 0.0647840i
\(265\) 1177.91i 0.273051i
\(266\) 1250.33 + 4266.65i 0.288206 + 0.983478i
\(267\) −3205.07 4717.85i −0.734634 1.08138i
\(268\) −99.8441 + 172.935i −0.0227573 + 0.0394168i
\(269\) −1356.34 2349.25i −0.307425 0.532476i 0.670373 0.742024i \(-0.266134\pi\)
−0.977798 + 0.209548i \(0.932801\pi\)
\(270\) 1499.82 1377.74i 0.338061 0.310544i
\(271\) −2865.65 1654.48i −0.642346 0.370859i 0.143172 0.989698i \(-0.454270\pi\)
−0.785518 + 0.618839i \(0.787603\pi\)
\(272\) −4670.30 −1.04110
\(273\) 4636.57 + 3818.92i 1.02791 + 0.846637i
\(274\) −2903.75 −0.640227
\(275\) 720.922 + 416.225i 0.158085 + 0.0912702i
\(276\) 115.394 + 55.8079i 0.0251663 + 0.0121712i
\(277\) 2877.54 + 4984.04i 0.624168 + 1.08109i 0.988701 + 0.149900i \(0.0478951\pi\)
−0.364534 + 0.931190i \(0.618772\pi\)
\(278\) 3340.44 5785.81i 0.720670 1.24824i
\(279\) 5438.68 + 2155.47i 1.16704 + 0.462526i
\(280\) −1472.38 1405.41i −0.314255 0.299962i
\(281\) 6169.74i 1.30981i 0.755712 + 0.654904i \(0.227291\pi\)
−0.755712 + 0.654904i \(0.772709\pi\)
\(282\) 55.6040 + 758.952i 0.0117417 + 0.160266i
\(283\) 1377.12 795.082i 0.289263 0.167006i −0.348346 0.937366i \(-0.613257\pi\)
0.637609 + 0.770360i \(0.279923\pi\)
\(284\) 398.601 230.133i 0.0832840 0.0480840i
\(285\) 156.973 + 2142.57i 0.0326256 + 0.445315i
\(286\) 6034.20i 1.24759i
\(287\) 652.075 + 158.560i 0.134114 + 0.0326114i
\(288\) 486.679 + 192.882i 0.0995758 + 0.0394641i
\(289\) 44.8653 77.7091i 0.00913197 0.0158170i
\(290\) −829.386 1436.54i −0.167942 0.290884i
\(291\) 5096.39 + 2464.76i 1.02665 + 0.496519i
\(292\) −330.753 190.961i −0.0662872 0.0382710i
\(293\) −5497.23 −1.09608 −0.548040 0.836452i \(-0.684626\pi\)
−0.548040 + 0.836452i \(0.684626\pi\)
\(294\) 5137.41 617.732i 1.01912 0.122540i
\(295\) 2672.47 0.527449
\(296\) 5202.98 + 3003.94i 1.02168 + 0.589867i
\(297\) −3440.35 + 3160.32i −0.672153 + 0.617442i
\(298\) −47.8107 82.8105i −0.00929395 0.0160976i
\(299\) −1795.03 + 3109.09i −0.347189 + 0.601349i
\(300\) 31.3089 + 46.0865i 0.00602540 + 0.00886936i
\(301\) 3332.64 + 810.371i 0.638173 + 0.155179i
\(302\) 4708.07i 0.897082i
\(303\) 7317.05 536.078i 1.38731 0.101640i
\(304\) −4815.59 + 2780.28i −0.908531 + 0.524540i
\(305\) 1568.18 905.389i 0.294406 0.169975i
\(306\) 4267.60 3380.09i 0.797262 0.631460i
\(307\) 3573.91i 0.664409i −0.943207 0.332205i \(-0.892208\pi\)
0.943207 0.332205i \(-0.107792\pi\)
\(308\) −191.327 182.625i −0.0353958 0.0337858i
\(309\) −5955.47 + 4045.85i −1.09642 + 0.744856i
\(310\) −1572.66 + 2723.93i −0.288133 + 0.499061i
\(311\) −1672.83 2897.43i −0.305009 0.528291i 0.672254 0.740320i \(-0.265326\pi\)
−0.977263 + 0.212029i \(0.931993\pi\)
\(312\) −3103.96 + 6418.05i −0.563227 + 1.16459i
\(313\) 152.890 + 88.2709i 0.0276097 + 0.0159405i 0.513741 0.857945i \(-0.328259\pi\)
−0.486132 + 0.873886i \(0.661592\pi\)
\(314\) 7515.17 1.35065
\(315\) 2489.60 + 230.358i 0.445311 + 0.0412038i
\(316\) −546.043 −0.0972067
\(317\) 3888.33 + 2244.93i 0.688929 + 0.397753i 0.803211 0.595695i \(-0.203123\pi\)
−0.114282 + 0.993448i \(0.536457\pi\)
\(318\) −1547.33 + 3199.41i −0.272861 + 0.564195i
\(319\) 1902.48 + 3295.18i 0.333913 + 0.578354i
\(320\) 1204.22 2085.76i 0.210368 0.364368i
\(321\) −4283.93 + 2910.29i −0.744878 + 0.506033i
\(322\) 869.695 + 2967.76i 0.150516 + 0.513623i
\(323\) 5742.69i 0.989263i
\(324\) −299.383 + 90.1667i −0.0513346 + 0.0154607i
\(325\) −1351.41 + 780.237i −0.230654 + 0.133168i
\(326\) −2222.70 + 1283.28i −0.377620 + 0.218019i
\(327\) 6361.25 466.052i 1.07577 0.0788156i
\(328\) 796.469i 0.134078i
\(329\) −645.057 + 675.794i −0.108095 + 0.113245i
\(330\) −1411.39 2077.56i −0.235438 0.346563i
\(331\) 2776.52 4809.08i 0.461062 0.798582i −0.537953 0.842975i \(-0.680802\pi\)
0.999014 + 0.0443930i \(0.0141354\pi\)
\(332\) −52.6723 91.2311i −0.00870714 0.0150812i
\(333\) −7300.93 + 1075.57i −1.20147 + 0.176999i
\(334\) 6562.96 + 3789.13i 1.07518 + 0.620754i
\(335\) −2327.92 −0.379666
\(336\) 2268.83 + 6060.73i 0.368377 + 0.984047i
\(337\) −2517.84 −0.406990 −0.203495 0.979076i \(-0.565230\pi\)
−0.203495 + 0.979076i \(0.565230\pi\)
\(338\) 4272.09 + 2466.49i 0.687489 + 0.396922i
\(339\) −6553.20 3169.32i −1.04991 0.507769i
\(340\) 74.4672 + 128.981i 0.0118781 + 0.0205735i
\(341\) 3607.43 6248.25i 0.572883 0.992263i
\(342\) 2388.15 6025.79i 0.377592 0.952741i
\(343\) 4794.20 + 4167.64i 0.754701 + 0.656068i
\(344\) 4070.61i 0.638002i
\(345\) 109.186 + 1490.31i 0.0170388 + 0.232567i
\(346\) 8669.59 5005.39i 1.34705 0.777721i
\(347\) 10615.5 6128.89i 1.64228 0.948173i 0.662264 0.749270i \(-0.269596\pi\)
0.980019 0.198903i \(-0.0637378\pi\)
\(348\) 18.6079 + 253.983i 0.00286634 + 0.0391233i
\(349\) 11130.9i 1.70723i −0.520907 0.853614i \(-0.674406\pi\)
0.520907 0.853614i \(-0.325594\pi\)
\(350\) −317.610 + 1306.17i −0.0485056 + 0.199479i
\(351\) −1905.94 8547.21i −0.289834 1.29976i
\(352\) 322.810 559.123i 0.0488802 0.0846630i
\(353\) −243.596 421.920i −0.0367289 0.0636162i 0.847077 0.531471i \(-0.178360\pi\)
−0.883805 + 0.467855i \(0.845027\pi\)
\(354\) −7258.90 3510.62i −1.08985 0.527082i
\(355\) 4646.81 + 2682.84i 0.694724 + 0.401099i
\(356\) −470.780 −0.0700880
\(357\) 6592.22 + 1100.40i 0.977304 + 0.163135i
\(358\) −8577.59 −1.26631
\(359\) −10884.0 6283.90i −1.60010 0.923820i −0.991465 0.130372i \(-0.958383\pi\)
−0.608638 0.793448i \(-0.708284\pi\)
\(360\) 432.489 + 2935.73i 0.0633171 + 0.429796i
\(361\) −10.8099 18.7234i −0.00157602 0.00272975i
\(362\) −3686.23 + 6384.74i −0.535205 + 0.927002i
\(363\) −648.941 955.238i −0.0938308 0.138118i
\(364\) 475.803 139.433i 0.0685133 0.0200777i
\(365\) 4452.35i 0.638484i
\(366\) −5448.79 + 399.201i −0.778177 + 0.0570125i
\(367\) 2330.86 1345.72i 0.331525 0.191406i −0.324993 0.945716i \(-0.605362\pi\)
0.656518 + 0.754310i \(0.272029\pi\)
\(368\) −3349.59 + 1933.89i −0.474482 + 0.273942i
\(369\) −607.430 766.923i −0.0856953 0.108196i
\(370\) 3967.64i 0.557481i
\(371\) −4186.96 + 1226.98i −0.585920 + 0.171702i
\(372\) 399.433 271.355i 0.0556711 0.0378202i
\(373\) 4580.61 7933.85i 0.635858 1.10134i −0.350475 0.936572i \(-0.613980\pi\)
0.986333 0.164766i \(-0.0526870\pi\)
\(374\) −3356.94 5814.40i −0.464127 0.803891i
\(375\) −282.790 + 584.726i −0.0389420 + 0.0805203i
\(376\) −960.250 554.401i −0.131705 0.0760400i
\(377\) −7132.59 −0.974396
\(378\) −6459.59 3896.09i −0.878956 0.530140i
\(379\) −10989.4 −1.48941 −0.744705 0.667394i \(-0.767410\pi\)
−0.744705 + 0.667394i \(0.767410\pi\)
\(380\) 153.568 + 88.6623i 0.0207312 + 0.0119692i
\(381\) −1350.06 + 2791.51i −0.181537 + 0.375364i
\(382\) −2606.69 4514.92i −0.349136 0.604721i
\(383\) 3382.56 5858.77i 0.451282 0.781643i −0.547184 0.837012i \(-0.684300\pi\)
0.998466 + 0.0553694i \(0.0176337\pi\)
\(384\) −6677.46 + 4536.33i −0.887390 + 0.602849i
\(385\) 728.545 2996.13i 0.0964417 0.396615i
\(386\) 2873.27i 0.378874i
\(387\) −3104.47 3919.61i −0.407775 0.514845i
\(388\) 404.674 233.639i 0.0529490 0.0305701i
\(389\) 4960.11 2863.72i 0.646497 0.373255i −0.140616 0.990064i \(-0.544908\pi\)
0.787113 + 0.616809i \(0.211575\pi\)
\(390\) 4695.60 344.019i 0.609669 0.0446669i
\(391\) 3994.45i 0.516645i
\(392\) −3461.91 + 6697.63i −0.446053 + 0.862962i
\(393\) 3532.29 + 5199.52i 0.453386 + 0.667382i
\(394\) −7062.92 + 12233.3i −0.903109 + 1.56423i
\(395\) −3182.83 5512.82i −0.405431 0.702227i
\(396\) 56.1995 + 381.482i 0.00713165 + 0.0484095i
\(397\) −6070.11 3504.58i −0.767380 0.443047i 0.0645589 0.997914i \(-0.479436\pi\)
−0.831939 + 0.554867i \(0.812769\pi\)
\(398\) −1625.81 −0.204759
\(399\) 7452.38 2789.79i 0.935052 0.350036i
\(400\) −1681.18 −0.210148
\(401\) 2192.81 + 1266.02i 0.273076 + 0.157661i 0.630285 0.776364i \(-0.282938\pi\)
−0.357209 + 0.934025i \(0.616271\pi\)
\(402\) 6323.04 + 3058.01i 0.784489 + 0.379402i
\(403\) 6762.33 + 11712.7i 0.835870 + 1.44777i
\(404\) 302.790 524.447i 0.0372880 0.0645847i
\(405\) −2655.39 2496.98i −0.325796 0.306361i
\(406\) −4242.34 + 4444.49i −0.518580 + 0.543291i
\(407\) 9101.12i 1.10842i
\(408\) 579.597 + 7911.06i 0.0703293 + 0.959941i
\(409\) 1732.84 1000.45i 0.209495 0.120952i −0.391582 0.920143i \(-0.628072\pi\)
0.601077 + 0.799191i \(0.294739\pi\)
\(410\) 455.523 262.996i 0.0548700 0.0316792i
\(411\) 379.739 + 5183.15i 0.0455746 + 0.622058i
\(412\) 594.279i 0.0710632i
\(413\) −2783.80 9499.48i −0.331675 1.13181i
\(414\) 1661.13 4191.37i 0.197198 0.497571i
\(415\) 614.042 1063.55i 0.0726317 0.125802i
\(416\) 605.125 + 1048.11i 0.0713190 + 0.123528i
\(417\) −10764.4 5205.99i −1.26412 0.611363i
\(418\) −6922.75 3996.85i −0.810055 0.467685i
\(419\) −5942.03 −0.692810 −0.346405 0.938085i \(-0.612598\pi\)
−0.346405 + 0.938085i \(0.612598\pi\)
\(420\) 131.205 159.296i 0.0152432 0.0185068i
\(421\) 6026.48 0.697654 0.348827 0.937187i \(-0.386580\pi\)
0.348827 + 0.937187i \(0.386580\pi\)
\(422\) 3692.98 + 2132.14i 0.425999 + 0.245951i
\(423\) 1347.44 198.504i 0.154882 0.0228170i
\(424\) −2589.15 4484.54i −0.296557 0.513652i
\(425\) −868.122 + 1503.63i −0.0990826 + 0.171616i
\(426\) −9097.31 13391.2i −1.03466 1.52302i
\(427\) −4851.77 4631.09i −0.549868 0.524858i
\(428\) 427.481i 0.0482782i
\(429\) −10770.9 + 789.124i −1.21218 + 0.0888095i
\(430\) 2328.10 1344.13i 0.261095 0.150743i
\(431\) 11442.6 6606.40i 1.27882 0.738327i 0.302189 0.953248i \(-0.402283\pi\)
0.976632 + 0.214921i \(0.0689493\pi\)
\(432\) 2825.91 9001.36i 0.314726 1.00250i
\(433\) 6823.53i 0.757316i 0.925537 + 0.378658i \(0.123614\pi\)
−0.925537 + 0.378658i \(0.876386\pi\)
\(434\) 11320.6 + 2752.73i 1.25208 + 0.304459i
\(435\) −2455.73 + 1668.30i −0.270674 + 0.183883i
\(436\) 263.237 455.940i 0.0289146 0.0500816i
\(437\) 2377.94 + 4118.72i 0.260303 + 0.450858i
\(438\) −5848.70 + 12093.4i −0.638041 + 1.31928i
\(439\) 590.734 + 341.060i 0.0642237 + 0.0370796i 0.531768 0.846890i \(-0.321528\pi\)
−0.467544 + 0.883970i \(0.654861\pi\)
\(440\) 3659.59 0.396509
\(441\) −1774.49 9089.41i −0.191609 0.981471i
\(442\) 12585.6 1.35438
\(443\) 5297.30 + 3058.40i 0.568132 + 0.328011i 0.756403 0.654106i \(-0.226955\pi\)
−0.188271 + 0.982117i \(0.560288\pi\)
\(444\) −265.208 + 548.370i −0.0283473 + 0.0586137i
\(445\) −2744.13 4752.97i −0.292324 0.506320i
\(446\) −1393.74 + 2414.03i −0.147972 + 0.256295i
\(447\) −141.563 + 96.1708i −0.0149792 + 0.0101761i
\(448\) −8668.36 2107.81i −0.914155 0.222288i
\(449\) 1586.26i 0.166727i 0.996519 + 0.0833635i \(0.0265663\pi\)
−0.996519 + 0.0833635i \(0.973434\pi\)
\(450\) 1536.22 1216.74i 0.160929 0.127461i
\(451\) −1044.90 + 603.271i −0.109096 + 0.0629865i
\(452\) −520.350 + 300.424i −0.0541487 + 0.0312628i
\(453\) 8403.82 615.699i 0.871624 0.0638588i
\(454\) 9039.88i 0.934500i
\(455\) 4181.11 + 3990.94i 0.430799 + 0.411204i
\(456\) 5307.17 + 7812.13i 0.545024 + 0.802273i
\(457\) 3090.78 5353.38i 0.316369 0.547967i −0.663359 0.748301i \(-0.730870\pi\)
0.979727 + 0.200335i \(0.0642030\pi\)
\(458\) −9066.97 15704.5i −0.925047 1.60223i
\(459\) −6591.50 7175.55i −0.670294 0.729687i
\(460\) 106.817 + 61.6709i 0.0108269 + 0.00625092i
\(461\) 8174.32 0.825848 0.412924 0.910766i \(-0.364508\pi\)
0.412924 + 0.910766i \(0.364508\pi\)
\(462\) −5914.64 + 7180.98i −0.595614 + 0.723138i
\(463\) −3473.85 −0.348690 −0.174345 0.984685i \(-0.555781\pi\)
−0.174345 + 0.984685i \(0.555781\pi\)
\(464\) −6654.82 3842.16i −0.665824 0.384414i
\(465\) 5067.83 + 2450.95i 0.505409 + 0.244430i
\(466\) 5644.50 + 9776.56i 0.561108 + 0.971867i
\(467\) 126.998 219.966i 0.0125841 0.0217962i −0.859665 0.510859i \(-0.829328\pi\)
0.872249 + 0.489062i \(0.162661\pi\)
\(468\) −671.977 266.319i −0.0663721 0.0263047i
\(469\) 2424.90 + 8274.75i 0.238745 + 0.814696i
\(470\) 732.259i 0.0718651i
\(471\) −982.799 13414.5i −0.0961464 1.31233i
\(472\) 10174.6 5874.32i 0.992214 0.572855i
\(473\) −5340.28 + 3083.21i −0.519125 + 0.299717i
\(474\) 1403.36 + 19154.8i 0.135988 + 1.85614i
\(475\) 2067.21i 0.199685i
\(476\) 380.902 399.053i 0.0366778 0.0384255i
\(477\) 5913.25 + 2343.55i 0.567608 + 0.224956i
\(478\) 8529.17 14773.0i 0.816141 1.41360i
\(479\) 7052.74 + 12215.7i 0.672751 + 1.16524i 0.977121 + 0.212685i \(0.0682209\pi\)
−0.304369 + 0.952554i \(0.598446\pi\)
\(480\) 453.494 + 219.323i 0.0431231 + 0.0208556i
\(481\) −14774.9 8530.28i −1.40057 0.808622i
\(482\) 9428.14 0.890954
\(483\) 5183.66 1940.50i 0.488333 0.182807i
\(484\) −95.3204 −0.00895195
\(485\) 4717.60 + 2723.71i 0.441681 + 0.255005i
\(486\) 3932.41 + 10270.4i 0.367033 + 0.958592i
\(487\) 5495.58 + 9518.62i 0.511352 + 0.885688i 0.999913 + 0.0131582i \(0.00418851\pi\)
−0.488561 + 0.872530i \(0.662478\pi\)
\(488\) 3980.24 6893.98i 0.369215 0.639500i
\(489\) 2581.31 + 3799.67i 0.238713 + 0.351384i
\(490\) 4973.69 231.613i 0.458548 0.0213534i
\(491\) 7464.15i 0.686053i 0.939326 + 0.343027i \(0.111452\pi\)
−0.939326 + 0.343027i \(0.888548\pi\)
\(492\) −80.5375 + 5.90051i −0.00737990 + 0.000540682i
\(493\) −6872.78 + 3968.00i −0.627859 + 0.362495i
\(494\) 12977.1 7492.32i 1.18192 0.682380i
\(495\) −3523.83 + 2791.00i −0.319969 + 0.253426i
\(496\) 14570.8i 1.31905i
\(497\) 4695.94 19312.0i 0.423826 1.74298i
\(498\) −3064.95 + 2082.18i −0.275791 + 0.187358i
\(499\) −4212.76 + 7296.72i −0.377934 + 0.654601i −0.990762 0.135616i \(-0.956699\pi\)
0.612827 + 0.790217i \(0.290032\pi\)
\(500\) 26.8061 + 46.4296i 0.00239761 + 0.00415279i
\(501\) 5905.26 12210.3i 0.526602 1.08885i
\(502\) 2986.90 + 1724.49i 0.265562 + 0.153322i
\(503\) 17684.7 1.56763 0.783817 0.620992i \(-0.213270\pi\)
0.783817 + 0.620992i \(0.213270\pi\)
\(504\) 9984.74 4595.34i 0.882452 0.406136i
\(505\) 7059.71 0.622085
\(506\) −4815.27 2780.09i −0.423053 0.244250i
\(507\) 3843.96 7948.17i 0.336719 0.696234i
\(508\) 127.974 + 221.657i 0.0111770 + 0.0193592i
\(509\) −4514.92 + 7820.07i −0.393164 + 0.680979i −0.992865 0.119245i \(-0.961953\pi\)
0.599701 + 0.800224i \(0.295286\pi\)
\(510\) 4333.17 2943.74i 0.376228 0.255590i
\(511\) −15826.2 + 4637.83i −1.37008 + 0.401498i
\(512\) 10521.3i 0.908168i
\(513\) −11068.2 3474.79i −0.952583 0.299056i
\(514\) −1563.22 + 902.525i −0.134145 + 0.0774488i
\(515\) −5999.80 + 3463.99i −0.513365 + 0.296391i
\(516\) −411.613 + 30.1565i −0.0351168 + 0.00257280i
\(517\) 1679.68i 0.142887i
\(518\) −14103.2 + 4132.92i −1.19626 + 0.350560i
\(519\) −10068.3 14820.5i −0.851541 1.25346i
\(520\) −3430.05 + 5941.02i −0.289265 + 0.501022i
\(521\) −1493.38 2586.61i −0.125578 0.217507i 0.796381 0.604796i \(-0.206745\pi\)
−0.921959 + 0.387288i \(0.873412\pi\)
\(522\) 8861.72 1305.50i 0.743040 0.109464i
\(523\) −8834.54 5100.62i −0.738637 0.426452i 0.0829364 0.996555i \(-0.473570\pi\)
−0.821574 + 0.570102i \(0.806903\pi\)
\(524\) 518.845 0.0432554
\(525\) 2373.02 + 396.114i 0.197271 + 0.0329292i
\(526\) −1381.89 −0.114550
\(527\) 13032.0 + 7524.03i 1.07720 + 0.621920i
\(528\) −10474.5 5065.79i −0.863344 0.417538i
\(529\) −4429.47 7672.07i −0.364056 0.630564i
\(530\) −1709.89 + 2961.61i −0.140137 + 0.242725i
\(531\) −5317.10 + 13416.1i −0.434544 + 1.09644i
\(532\) 155.191 638.222i 0.0126474 0.0520121i
\(533\) 2261.73i 0.183802i
\(534\) 1209.93 + 16514.6i 0.0980503 + 1.33831i
\(535\) −4315.82 + 2491.74i −0.348765 + 0.201359i
\(536\) −8862.85 + 5116.97i −0.714211 + 0.412350i
\(537\) 1121.74 + 15310.9i 0.0901425 + 1.23038i
\(538\) 7875.59i 0.631117i
\(539\) −11408.8 + 531.281i −0.911714 + 0.0424562i
\(540\) −293.651 + 65.4814i −0.0234014 + 0.00521828i
\(541\) −887.926 + 1537.93i −0.0705636 + 0.122220i −0.899148 0.437644i \(-0.855813\pi\)
0.828585 + 0.559864i \(0.189146\pi\)
\(542\) 4803.39 + 8319.71i 0.380670 + 0.659340i
\(543\) 11878.7 + 5744.90i 0.938794 + 0.454028i
\(544\) 1166.17 + 673.286i 0.0919098 + 0.0530642i
\(545\) 6137.52 0.482390
\(546\) −6114.05 16332.5i −0.479225 1.28016i
\(547\) 4626.98 0.361674 0.180837 0.983513i \(-0.442119\pi\)
0.180837 + 0.983513i \(0.442119\pi\)
\(548\) 371.500 + 214.486i 0.0289593 + 0.0167197i
\(549\) 1425.13 + 9673.79i 0.110789 + 0.752035i
\(550\) −1208.41 2093.02i −0.0936848 0.162267i
\(551\) −4724.39 + 8182.89i −0.365274 + 0.632673i
\(552\) 3691.51 + 5433.89i 0.284640 + 0.418989i
\(553\) −16280.3 + 17056.0i −1.25191 + 1.31157i
\(554\) 16708.5i 1.28136i
\(555\) −7082.17 + 518.869i −0.541660 + 0.0396843i
\(556\) −854.738 + 493.483i −0.0651960 + 0.0376409i
\(557\) 18505.1 10683.9i 1.40769 0.812733i 0.412529 0.910944i \(-0.364646\pi\)
0.995166 + 0.0982117i \(0.0313122\pi\)
\(558\) −10545.5 13314.4i −0.800048 1.01012i
\(559\) 11559.3i 0.874609i
\(560\) 1751.21 + 5975.87i 0.132147 + 0.450940i
\(561\) −9939.59 + 6752.47i −0.748039 + 0.508181i
\(562\) 8956.17 15512.5i 0.672230 1.16434i
\(563\) 11073.2 + 19179.4i 0.828919 + 1.43573i 0.898887 + 0.438181i \(0.144377\pi\)
−0.0699674 + 0.997549i \(0.522290\pi\)
\(564\) 48.9461 101.206i 0.00365426 0.00755592i
\(565\) −6066.13 3502.28i −0.451688 0.260782i
\(566\) −4616.65 −0.342849
\(567\) −6109.69 + 12039.8i −0.452527 + 0.891751i
\(568\) 23588.4 1.74251
\(569\) 548.164 + 316.483i 0.0403871 + 0.0233175i 0.520058 0.854131i \(-0.325910\pi\)
−0.479671 + 0.877449i \(0.659244\pi\)
\(570\) 2715.53 5614.91i 0.199546 0.412601i
\(571\) −329.152 570.108i −0.0241236 0.0417833i 0.853712 0.520746i \(-0.174346\pi\)
−0.877835 + 0.478963i \(0.841013\pi\)
\(572\) −445.716 + 772.003i −0.0325810 + 0.0564319i
\(573\) −7718.16 + 5243.33i −0.562706 + 0.382275i
\(574\) −1409.34 1345.24i −0.102482 0.0978207i
\(575\) 1437.89i 0.104286i
\(576\) 8074.88 + 10195.1i 0.584120 + 0.737493i
\(577\) −1680.30 + 970.124i −0.121234 + 0.0699945i −0.559391 0.828904i \(-0.688965\pi\)
0.438157 + 0.898899i \(0.355631\pi\)
\(578\) −225.609 + 130.256i −0.0162355 + 0.00937356i
\(579\) −5128.73 + 375.752i −0.368122 + 0.0269702i
\(580\) 245.050i 0.0175434i
\(581\) −4420.09 1074.80i −0.315622 0.0767472i
\(582\) −9235.91 13595.2i −0.657802 0.968281i
\(583\) 3922.20 6793.46i 0.278630 0.482601i
\(584\) −9786.65 16951.0i −0.693449 1.20109i
\(585\) −1228.14 8336.58i −0.0867986 0.589188i
\(586\) 13821.6 + 7979.93i 0.974346 + 0.562539i
\(587\) −22331.9 −1.57025 −0.785124 0.619339i \(-0.787401\pi\)
−0.785124 + 0.619339i \(0.787401\pi\)
\(588\) −702.899 300.444i −0.0492977 0.0210716i
\(589\) 17916.6 1.25338
\(590\) −6719.38 3879.44i −0.468869 0.270701i
\(591\) 22760.0 + 11007.4i 1.58413 + 0.766130i
\(592\) −9190.12 15917.8i −0.638027 1.10509i
\(593\) 566.434 981.092i 0.0392254 0.0679404i −0.845746 0.533585i \(-0.820844\pi\)
0.884972 + 0.465645i \(0.154178\pi\)
\(594\) 13237.7 2951.87i 0.914390 0.203900i
\(595\) 6249.05 + 1519.53i 0.430564 + 0.104697i
\(596\) 14.1261i 0.000970855i
\(597\) 212.615 + 2902.04i 0.0145758 + 0.198949i
\(598\) 9026.49 5211.44i 0.617258 0.356374i
\(599\) 2894.17 1670.95i 0.197417 0.113979i −0.398033 0.917371i \(-0.630307\pi\)
0.595450 + 0.803392i \(0.296974\pi\)
\(600\) 208.639 + 2847.76i 0.0141961 + 0.193766i
\(601\) 12917.7i 0.876745i 0.898793 + 0.438372i \(0.144445\pi\)
−0.898793 + 0.438372i \(0.855555\pi\)
\(602\) −7202.88 6875.26i −0.487653 0.465473i
\(603\) 4631.59 11686.4i 0.312791 0.789235i
\(604\) 347.761 602.340i 0.0234275 0.0405776i
\(605\) −555.612 962.348i −0.0373369 0.0646695i
\(606\) −19175.4 9273.79i −1.28539 0.621653i
\(607\) −11335.3 6544.41i −0.757963 0.437610i 0.0706007 0.997505i \(-0.477508\pi\)
−0.828564 + 0.559894i \(0.810842\pi\)
\(608\) 1603.26 0.106942
\(609\) 8488.13 + 6991.27i 0.564789 + 0.465190i
\(610\) −5257.15 −0.348944
\(611\) 2726.82 + 1574.33i 0.180549 + 0.104240i
\(612\) −795.658 + 117.216i −0.0525532 + 0.00774209i
\(613\) 1126.55 + 1951.25i 0.0742269 + 0.128565i 0.900750 0.434338i \(-0.143018\pi\)
−0.826523 + 0.562903i \(0.809684\pi\)
\(614\) −5187.98 + 8985.85i −0.340993 + 0.590618i
\(615\) −529.015 778.708i −0.0346861 0.0510578i
\(616\) −3812.04 13008.3i −0.249337 0.850840i
\(617\) 1251.11i 0.0816332i −0.999167 0.0408166i \(-0.987004\pi\)
0.999167 0.0408166i \(-0.0129959\pi\)
\(618\) 20846.9 1527.33i 1.35693 0.0994145i
\(619\) 17871.3 10318.0i 1.16043 0.669977i 0.209026 0.977910i \(-0.432971\pi\)
0.951408 + 0.307933i \(0.0996374\pi\)
\(620\) 402.406 232.329i 0.0260662 0.0150493i
\(621\) −7698.75 2416.96i −0.497488 0.156183i
\(622\) 9713.34i 0.626156i
\(623\) −14036.3 + 14705.1i −0.902653 + 0.945665i
\(624\) 18041.4 12256.4i 1.15743 0.786299i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) −256.273 443.878i −0.0163622 0.0283402i
\(627\) −6228.99 + 12879.7i −0.396749 + 0.820359i
\(628\) −961.476 555.108i −0.0610940 0.0352727i
\(629\) −18982.3 −1.20329
\(630\) −5925.19 4193.16i −0.374707 0.265174i
\(631\) −960.414 −0.0605919 −0.0302959 0.999541i \(-0.509645\pi\)
−0.0302959 + 0.999541i \(0.509645\pi\)
\(632\) −24235.3 13992.2i −1.52536 0.880667i
\(633\) 3322.89 6870.74i 0.208646 0.431418i
\(634\) −6517.60 11288.8i −0.408276 0.707155i
\(635\) −1491.89 + 2584.03i −0.0932345 + 0.161487i
\(636\) 434.287 295.033i 0.0270764 0.0183944i
\(637\) 9830.77 19019.2i 0.611474 1.18300i
\(638\) 11046.7i 0.685494i
\(639\) −22713.4 + 17989.8i −1.40614 + 1.11372i
\(640\) −6727.16 + 3883.93i −0.415491 + 0.239884i
\(641\) −10556.2 + 6094.64i −0.650462 + 0.375544i −0.788633 0.614864i \(-0.789211\pi\)
0.138172 + 0.990408i \(0.455877\pi\)
\(642\) 14995.7 1098.65i 0.921860 0.0675393i
\(643\) 19020.8i 1.16657i −0.812266 0.583287i \(-0.801766\pi\)
0.812266 0.583287i \(-0.198234\pi\)
\(644\) 107.947 443.929i 0.00660511 0.0271634i
\(645\) −2703.70 3979.84i −0.165052 0.242955i
\(646\) 8336.26 14438.8i 0.507718 0.879393i
\(647\) 8106.41 + 14040.7i 0.492575 + 0.853164i 0.999963 0.00855306i \(-0.00272256\pi\)
−0.507389 + 0.861717i \(0.669389\pi\)
\(648\) −15598.2 3669.73i −0.945608 0.222470i
\(649\) 15413.2 + 8898.79i 0.932233 + 0.538225i
\(650\) 4530.45 0.273383
\(651\) 3433.13 20567.0i 0.206689 1.23823i
\(652\) 379.158 0.0227745
\(653\) 8853.93 + 5111.82i 0.530599 + 0.306341i 0.741260 0.671218i \(-0.234228\pi\)
−0.210661 + 0.977559i \(0.567562\pi\)
\(654\) −16670.6 8062.38i −0.996745 0.482055i
\(655\) 3024.29 + 5238.22i 0.180410 + 0.312480i
\(656\) 1218.34 2110.23i 0.0725126 0.125595i
\(657\) 22351.3 + 8858.32i 1.32726 + 0.526021i
\(658\) 2602.86 762.763i 0.154210 0.0451909i
\(659\) 8787.17i 0.519423i 0.965686 + 0.259711i \(0.0836274\pi\)
−0.965686 + 0.259711i \(0.916373\pi\)
\(660\) 27.1115 + 370.051i 0.00159896 + 0.0218246i
\(661\) −5012.99 + 2894.25i −0.294981 + 0.170307i −0.640186 0.768220i \(-0.721143\pi\)
0.345205 + 0.938527i \(0.387809\pi\)
\(662\) −13962.0 + 8060.95i −0.819710 + 0.473260i
\(663\) −1645.88 22465.0i −0.0964113 1.31594i
\(664\) 5398.87i 0.315537i
\(665\) 7348.04 2153.33i 0.428488 0.125568i
\(666\) 19918.0 + 7893.95i 1.15887 + 0.459286i
\(667\) −3286.15 + 5691.78i −0.190765 + 0.330415i
\(668\) −559.768 969.547i −0.0324223 0.0561570i
\(669\) 4491.26 + 2172.10i 0.259555 + 0.125528i
\(670\) 5853.08 + 3379.28i 0.337499 + 0.194855i
\(671\) 12059.0 0.693792
\(672\) 307.212 1840.43i 0.0176354 0.105649i
\(673\) 15116.2 0.865804 0.432902 0.901441i \(-0.357490\pi\)
0.432902 + 0.901441i \(0.357490\pi\)
\(674\) 6330.60 + 3654.97i 0.361788 + 0.208879i
\(675\) −2372.76 2583.00i −0.135300 0.147289i
\(676\) −364.375 631.116i −0.0207314 0.0359078i
\(677\) −7005.98 + 12134.7i −0.397728 + 0.688885i −0.993445 0.114309i \(-0.963535\pi\)
0.595717 + 0.803194i \(0.296868\pi\)
\(678\) 11876.0 + 17481.4i 0.672706 + 0.990220i
\(679\) 4767.48 19606.2i 0.269454 1.10813i
\(680\) 7632.82i 0.430449i
\(681\) 16136.0 1182.19i 0.907980 0.0665224i
\(682\) −18140.3 + 10473.3i −1.01851 + 0.588040i
\(683\) −27532.8 + 15896.1i −1.54248 + 0.890551i −0.543797 + 0.839217i \(0.683014\pi\)
−0.998682 + 0.0513340i \(0.983653\pi\)
\(684\) −750.631 + 594.526i −0.0419606 + 0.0332343i
\(685\) 5000.86i 0.278939i
\(686\) −6004.17 17438.1i −0.334169 0.970538i
\(687\) −26846.4 + 18238.1i −1.49091 + 1.01285i
\(688\) 6226.73 10785.0i 0.345046 0.597637i
\(689\) 7352.39 + 12734.7i 0.406537 + 0.704142i
\(690\) 1888.85 3905.57i 0.104213 0.215482i
\(691\) −1232.86 711.795i −0.0678732 0.0391866i 0.465679 0.884954i \(-0.345810\pi\)
−0.533553 + 0.845767i \(0.679143\pi\)
\(692\) −1478.89 −0.0812415
\(693\) 13591.4 + 9618.43i 0.745015 + 0.527235i
\(694\) −35587.5 −1.94652
\(695\) −9964.35 5752.92i −0.543841 0.313987i
\(696\) −5682.38 + 11749.5i −0.309469 + 0.639889i
\(697\) −1258.25 2179.34i −0.0683780 0.118434i
\(698\) −16157.9 + 27986.3i −0.876197 + 1.51762i
\(699\) 16712.8 11353.9i 0.904345 0.614367i
\(700\) 137.114 143.648i 0.00740348 0.00775626i
\(701\) 24490.7i 1.31955i −0.751465 0.659773i \(-0.770653\pi\)
0.751465 0.659773i \(-0.229347\pi\)
\(702\) −7615.27 + 24256.9i −0.409430 + 1.30416i
\(703\) −19572.8 + 11300.3i −1.05007 + 0.606260i
\(704\) 13890.3 8019.59i 0.743624 0.429332i
\(705\) 1307.07 95.7614i 0.0698257 0.00511572i
\(706\) 1414.44i 0.0754011i
\(707\) −7353.80 25094.2i −0.391185 1.33489i
\(708\) 669.377 + 985.320i 0.0355321 + 0.0523031i
\(709\) −12491.0 + 21635.0i −0.661647 + 1.14601i 0.318536 + 0.947911i \(0.396809\pi\)
−0.980183 + 0.198095i \(0.936524\pi\)
\(710\) −7788.96 13490.9i −0.411710 0.713104i
\(711\) 34007.5 5009.95i 1.79378 0.264258i
\(712\) −20894.9 12063.7i −1.09981 0.634978i
\(713\) 12462.2 0.654579
\(714\) −14977.4 12336.2i −0.785036 0.646597i
\(715\) −10392.1 −0.543557
\(716\) 1097.40 + 633.584i 0.0572790 + 0.0330700i
\(717\) −27484.9 13292.5i −1.43158 0.692353i
\(718\) 18243.8 + 31599.1i 0.948261 + 1.64244i
\(719\) 2860.91 4955.25i 0.148392 0.257023i −0.782241 0.622976i \(-0.785923\pi\)
0.930633 + 0.365953i \(0.119257\pi\)
\(720\) 3344.85 8439.72i 0.173132 0.436847i
\(721\) 18562.7 + 17718.4i 0.958823 + 0.915212i
\(722\) 62.7681i 0.00323544i
\(723\) −1232.97 16829.1i −0.0634226 0.865671i
\(724\) 943.219 544.567i 0.0484177 0.0279540i
\(725\) −2474.01 + 1428.37i −0.126735 + 0.0731702i
\(726\) 244.979 + 3343.77i 0.0125234 + 0.170935i
\(727\) 21968.5i 1.12073i 0.828247 + 0.560363i \(0.189338\pi\)
−0.828247 + 0.560363i \(0.810662\pi\)
\(728\) 24690.7 + 6003.84i 1.25700 + 0.305655i
\(729\) 17818.3 8362.41i 0.905262 0.424854i
\(730\) −6463.16 + 11194.5i −0.327688 + 0.567572i
\(731\) −6430.67 11138.2i −0.325372 0.563561i
\(732\) 726.594 + 351.402i 0.0366881 + 0.0177434i
\(733\) −19431.5 11218.8i −0.979153 0.565314i −0.0771388 0.997020i \(-0.524578\pi\)
−0.902014 + 0.431706i \(0.857912\pi\)
\(734\) −7813.95 −0.392940
\(735\) −1063.86 8847.67i −0.0533892 0.444015i
\(736\) 1115.18 0.0558507
\(737\) −13426.0 7751.51i −0.671036 0.387423i
\(738\) 413.971 + 2810.03i 0.0206484 + 0.140161i
\(739\) −9016.28 15616.6i −0.448808 0.777358i 0.549501 0.835493i \(-0.314818\pi\)
−0.998309 + 0.0581351i \(0.981485\pi\)
\(740\) −293.070 + 507.612i −0.0145587 + 0.0252165i
\(741\) −15070.8 22184.1i −0.747150 1.09980i
\(742\) 12308.4 + 2992.93i 0.608969 + 0.148078i
\(743\) 6885.43i 0.339975i −0.985446 0.169988i \(-0.945627\pi\)
0.985446 0.169988i \(-0.0543728\pi\)
\(744\) 24681.6 1808.28i 1.21623 0.0891058i
\(745\) −142.617 + 82.3397i −0.00701352 + 0.00404925i
\(746\) −23034.0 + 13298.7i −1.13048 + 0.652680i
\(747\) 4117.47 + 5198.59i 0.201674 + 0.254627i
\(748\) 991.843i 0.0484831i
\(749\) 13352.7 + 12745.3i 0.651396 + 0.621768i
\(750\) 1559.82 1059.67i 0.0759423 0.0515914i
\(751\) −17037.5 + 29509.8i −0.827838 + 1.43386i 0.0718933 + 0.997412i \(0.477096\pi\)
−0.899731 + 0.436445i \(0.856237\pi\)
\(752\) 1696.11 + 2937.75i 0.0822483 + 0.142458i
\(753\) 2687.57 5557.09i 0.130067 0.268940i
\(754\) 17933.4 + 10353.9i 0.866177 + 0.500087i
\(755\) 8108.25 0.390847
\(756\) 538.642 + 975.595i 0.0259130 + 0.0469339i
\(757\) 15803.2 0.758755 0.379377 0.925242i \(-0.376138\pi\)
0.379377 + 0.925242i \(0.376138\pi\)
\(758\) 27630.5 + 15952.5i 1.32399 + 0.764407i
\(759\) −4332.70 + 8958.73i −0.207203 + 0.428434i
\(760\) 4543.91 + 7870.28i 0.216875 + 0.375638i
\(761\) 17416.7 30166.6i 0.829640 1.43698i −0.0686817 0.997639i \(-0.521879\pi\)
0.898321 0.439339i \(-0.144787\pi\)
\(762\) 7446.68 5058.90i 0.354022 0.240505i
\(763\) −6393.19 21816.2i −0.303341 1.03513i
\(764\) 770.173i 0.0364710i
\(765\) −5821.20 7349.67i −0.275119 0.347357i
\(766\) −17009.5 + 9820.45i −0.802322 + 0.463221i
\(767\) −28892.8 + 16681.3i −1.36018 + 0.785301i
\(768\) 3404.37 249.419i 0.159954 0.0117189i
\(769\) 25811.3i 1.21037i −0.796083 0.605187i \(-0.793098\pi\)
0.796083 0.605187i \(-0.206902\pi\)
\(770\) −6181.04 + 6475.58i −0.289285 + 0.303070i
\(771\) 1815.42 + 2672.29i 0.0848001 + 0.124825i
\(772\) −212.234