Properties

Label 177.4.f.a.2.1
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.1
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.301320 + 5.55751i) q^{2} +(4.73924 - 2.13064i) q^{3} +(-22.8421 - 2.48423i) q^{4} +(-5.05728 + 15.0095i) q^{5} +(10.4130 + 26.9804i) q^{6} +(-9.02219 - 13.3067i) q^{7} +(13.4855 - 82.2577i) q^{8} +(17.9208 - 20.1952i) q^{9} +O(q^{10})\) \(q+(-0.301320 + 5.55751i) q^{2} +(4.73924 - 2.13064i) q^{3} +(-22.8421 - 2.48423i) q^{4} +(-5.05728 + 15.0095i) q^{5} +(10.4130 + 26.9804i) q^{6} +(-9.02219 - 13.3067i) q^{7} +(13.4855 - 82.2577i) q^{8} +(17.9208 - 20.1952i) q^{9} +(-81.8915 - 32.6285i) q^{10} +(-44.8647 + 9.87548i) q^{11} +(-113.547 + 36.8948i) q^{12} +(11.3151 - 9.61111i) q^{13} +(76.6709 - 46.1314i) q^{14} +(8.01209 + 81.9087i) q^{15} +(273.569 + 60.2170i) q^{16} +(-82.8482 - 56.1725i) q^{17} +(106.835 + 105.680i) q^{18} +(-53.3838 + 100.693i) q^{19} +(152.806 - 330.284i) q^{20} +(-71.1101 - 43.8408i) q^{21} +(-41.3645 - 252.312i) q^{22} +(43.3282 - 41.0427i) q^{23} +(-111.351 - 418.572i) q^{24} +(-100.196 - 76.1673i) q^{25} +(50.0044 + 65.7797i) q^{26} +(41.9021 - 133.893i) q^{27} +(173.029 + 326.367i) q^{28} +(5.35273 - 0.290216i) q^{29} +(-457.623 + 19.8466i) q^{30} +(6.85013 - 3.63171i) q^{31} +(-238.688 + 859.677i) q^{32} +(-191.584 + 142.393i) q^{33} +(337.143 - 443.504i) q^{34} +(245.355 - 68.1224i) q^{35} +(-459.517 + 416.781i) q^{36} +(-84.8826 + 13.9158i) q^{37} +(-543.515 - 327.022i) q^{38} +(33.1471 - 69.6577i) q^{39} +(1166.45 + 618.410i) q^{40} +(-15.8347 + 16.7164i) q^{41} +(265.073 - 381.986i) q^{42} +(-42.2032 + 191.731i) q^{43} +(1049.34 - 114.122i) q^{44} +(212.489 + 371.114i) q^{45} +(215.040 + 253.164i) q^{46} +(-366.658 + 123.541i) q^{47} +(1424.81 - 297.493i) q^{48} +(31.2881 - 78.5272i) q^{49} +(453.492 - 533.892i) q^{50} +(-512.321 - 89.6953i) q^{51} +(-282.336 + 191.429i) q^{52} +(-511.874 + 203.949i) q^{53} +(731.484 + 273.216i) q^{54} +(78.6678 - 723.339i) q^{55} +(-1216.25 + 562.697i) q^{56} +(-38.4593 + 590.947i) q^{57} +29.8353i q^{58} +(381.639 + 244.399i) q^{59} +(20.4669 - 1890.87i) q^{60} +(-445.171 - 24.1365i) q^{61} +(18.1192 + 39.1640i) q^{62} +(-430.417 - 56.2620i) q^{63} +(-2582.11 - 870.014i) q^{64} +(87.0342 + 218.439i) q^{65} +(-733.622 - 1107.63i) q^{66} +(-660.843 - 108.340i) q^{67} +(1752.88 + 1488.91i) q^{68} +(117.896 - 286.828i) q^{69} +(304.661 + 1384.09i) q^{70} +(-50.5804 - 150.117i) q^{71} +(-1419.54 - 1746.46i) q^{72} +(459.978 + 764.490i) q^{73} +(-51.7604 - 475.929i) q^{74} +(-637.140 - 147.493i) q^{75} +(1469.54 - 2167.41i) q^{76} +(536.189 + 507.905i) q^{77} +(377.136 + 205.204i) q^{78} +(-706.634 - 326.924i) q^{79} +(-2287.34 + 3801.58i) q^{80} +(-86.6923 - 723.827i) q^{81} +(-88.1306 - 93.0383i) q^{82} +(-51.3727 - 185.028i) q^{83} +(1515.39 + 1178.07i) q^{84} +(1262.11 - 959.427i) q^{85} +(-1052.83 - 292.317i) q^{86} +(24.7495 - 12.7801i) q^{87} +(207.312 + 3823.65i) q^{88} +(1.41083 + 26.0212i) q^{89} +(-2126.50 + 1069.09i) q^{90} +(-229.979 - 63.8534i) q^{91} +(-1091.67 + 829.863i) q^{92} +(24.7265 - 31.8067i) q^{93} +(-576.102 - 2074.93i) q^{94} +(-1241.36 - 1310.49i) q^{95} +(700.460 + 4582.77i) q^{96} +(-429.300 + 713.503i) q^{97} +(426.988 + 197.546i) q^{98} +(-604.573 + 1083.03i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.301320 + 5.55751i −0.106533 + 1.96488i 0.125290 + 0.992120i \(0.460014\pi\)
−0.231823 + 0.972758i \(0.574469\pi\)
\(3\) 4.73924 2.13064i 0.912067 0.410041i
\(4\) −22.8421 2.48423i −2.85526 0.310528i
\(5\) −5.05728 + 15.0095i −0.452337 + 1.34249i 0.442770 + 0.896635i \(0.353996\pi\)
−0.895107 + 0.445852i \(0.852901\pi\)
\(6\) 10.4130 + 26.9804i 0.708517 + 1.83578i
\(7\) −9.02219 13.3067i −0.487153 0.718496i 0.502084 0.864819i \(-0.332567\pi\)
−0.989237 + 0.146322i \(0.953256\pi\)
\(8\) 13.4855 82.2577i 0.595979 3.63531i
\(9\) 17.9208 20.1952i 0.663732 0.747970i
\(10\) −81.8915 32.6285i −2.58964 1.03181i
\(11\) −44.8647 + 9.87548i −1.22975 + 0.270688i −0.781890 0.623417i \(-0.785744\pi\)
−0.447858 + 0.894105i \(0.647813\pi\)
\(12\) −113.547 + 36.8948i −2.73152 + 0.887552i
\(13\) 11.3151 9.61111i 0.241403 0.205049i −0.518515 0.855069i \(-0.673515\pi\)
0.759918 + 0.650019i \(0.225239\pi\)
\(14\) 76.6709 46.1314i 1.46366 0.880652i
\(15\) 8.01209 + 81.9087i 0.137914 + 1.40992i
\(16\) 273.569 + 60.2170i 4.27451 + 0.940891i
\(17\) −82.8482 56.1725i −1.18198 0.801402i −0.198090 0.980184i \(-0.563474\pi\)
−0.983889 + 0.178782i \(0.942784\pi\)
\(18\) 106.835 + 105.680i 1.39896 + 1.38384i
\(19\) −53.3838 + 100.693i −0.644583 + 1.21581i 0.318835 + 0.947810i \(0.396708\pi\)
−0.963418 + 0.268003i \(0.913636\pi\)
\(20\) 152.806 330.284i 1.70842 3.69269i
\(21\) −71.1101 43.8408i −0.738929 0.455564i
\(22\) −41.3645 252.312i −0.400861 2.44514i
\(23\) 43.3282 41.0427i 0.392807 0.372087i −0.465653 0.884968i \(-0.654180\pi\)
0.858460 + 0.512881i \(0.171422\pi\)
\(24\) −111.351 418.572i −0.947056 3.56003i
\(25\) −100.196 76.1673i −0.801571 0.609339i
\(26\) 50.0044 + 65.7797i 0.377180 + 0.496172i
\(27\) 41.9021 133.893i 0.298669 0.954357i
\(28\) 173.029 + 326.367i 1.16783 + 2.20277i
\(29\) 5.35273 0.290216i 0.0342751 0.00185834i −0.0369934 0.999316i \(-0.511778\pi\)
0.0712685 + 0.997457i \(0.477295\pi\)
\(30\) −457.623 + 19.8466i −2.78500 + 0.120783i
\(31\) 6.85013 3.63171i 0.0396877 0.0210411i −0.448446 0.893810i \(-0.648023\pi\)
0.488134 + 0.872769i \(0.337678\pi\)
\(32\) −238.688 + 859.677i −1.31858 + 4.74909i
\(33\) −191.584 + 142.393i −1.01062 + 0.751133i
\(34\) 337.143 443.504i 1.70058 2.23707i
\(35\) 245.355 68.1224i 1.18493 0.328994i
\(36\) −459.517 + 416.781i −2.12739 + 1.92954i
\(37\) −84.8826 + 13.9158i −0.377152 + 0.0618309i −0.347377 0.937726i \(-0.612927\pi\)
−0.0297752 + 0.999557i \(0.509479\pi\)
\(38\) −543.515 327.022i −2.32026 1.39605i
\(39\) 33.1471 69.6577i 0.136097 0.286004i
\(40\) 1166.45 + 618.410i 4.61078 + 2.44448i
\(41\) −15.8347 + 16.7164i −0.0603160 + 0.0636749i −0.755455 0.655200i \(-0.772584\pi\)
0.695139 + 0.718875i \(0.255343\pi\)
\(42\) 265.073 381.986i 0.973848 1.40337i
\(43\) −42.2032 + 191.731i −0.149673 + 0.679970i 0.840695 + 0.541509i \(0.182147\pi\)
−0.990368 + 0.138461i \(0.955784\pi\)
\(44\) 1049.34 114.122i 3.59531 0.391013i
\(45\) 212.489 + 371.114i 0.703911 + 1.22939i
\(46\) 215.040 + 253.164i 0.689258 + 0.811457i
\(47\) −366.658 + 123.541i −1.13793 + 0.383412i −0.824311 0.566138i \(-0.808437\pi\)
−0.313616 + 0.949550i \(0.601540\pi\)
\(48\) 1424.81 297.493i 4.28444 0.894570i
\(49\) 31.2881 78.5272i 0.0912189 0.228942i
\(50\) 453.492 533.892i 1.28267 1.51008i
\(51\) −512.321 89.6953i −1.40665 0.246272i
\(52\) −282.336 + 191.429i −0.752941 + 0.510507i
\(53\) −511.874 + 203.949i −1.32663 + 0.528577i −0.922455 0.386105i \(-0.873820\pi\)
−0.404174 + 0.914682i \(0.632441\pi\)
\(54\) 731.484 + 273.216i 1.84338 + 0.688519i
\(55\) 78.6678 723.339i 0.192865 1.77336i
\(56\) −1216.25 + 562.697i −2.90229 + 1.34274i
\(57\) −38.4593 + 590.947i −0.0893694 + 1.37321i
\(58\) 29.8353i 0.0675443i
\(59\) 381.639 + 244.399i 0.842121 + 0.539289i
\(60\) 20.4669 1890.87i 0.0440378 4.06850i
\(61\) −445.171 24.1365i −0.934399 0.0506616i −0.419352 0.907824i \(-0.637743\pi\)
−0.515047 + 0.857162i \(0.672225\pi\)
\(62\) 18.1192 + 39.1640i 0.0371152 + 0.0802231i
\(63\) −430.417 56.2620i −0.860753 0.112513i
\(64\) −2582.11 870.014i −5.04318 1.69925i
\(65\) 87.0342 + 218.439i 0.166081 + 0.416832i
\(66\) −733.622 1107.63i −1.36822 2.06576i
\(67\) −660.843 108.340i −1.20500 0.197549i −0.474370 0.880326i \(-0.657324\pi\)
−0.730627 + 0.682776i \(0.760772\pi\)
\(68\) 1752.88 + 1488.91i 3.12600 + 2.65525i
\(69\) 117.896 286.828i 0.205695 0.500435i
\(70\) 304.661 + 1384.09i 0.520199 + 2.36329i
\(71\) −50.5804 150.117i −0.0845463 0.250924i 0.897038 0.441953i \(-0.145714\pi\)
−0.981584 + 0.191029i \(0.938818\pi\)
\(72\) −1419.54 1746.46i −2.32354 2.85865i
\(73\) 459.978 + 764.490i 0.737485 + 1.22571i 0.967586 + 0.252543i \(0.0812669\pi\)
−0.230101 + 0.973167i \(0.573906\pi\)
\(74\) −51.7604 475.929i −0.0813112 0.747644i
\(75\) −637.140 147.493i −0.980941 0.227080i
\(76\) 1469.54 2167.41i 2.21800 3.27130i
\(77\) 536.189 + 507.905i 0.793563 + 0.751703i
\(78\) 377.136 + 205.204i 0.547464 + 0.297882i
\(79\) −706.634 326.924i −1.00636 0.465592i −0.153734 0.988112i \(-0.549130\pi\)
−0.852627 + 0.522520i \(0.824992\pi\)
\(80\) −2287.34 + 3801.58i −3.19665 + 5.31288i
\(81\) −86.6923 723.827i −0.118919 0.992904i
\(82\) −88.1306 93.0383i −0.118688 0.125297i
\(83\) −51.3727 185.028i −0.0679384 0.244692i 0.921782 0.387709i \(-0.126733\pi\)
−0.989720 + 0.143017i \(0.954320\pi\)
\(84\) 1515.39 + 1178.07i 1.96837 + 1.53021i
\(85\) 1262.11 959.427i 1.61052 1.22429i
\(86\) −1052.83 292.317i −1.32011 0.366528i
\(87\) 24.7495 12.7801i 0.0304991 0.0157491i
\(88\) 207.312 + 3823.65i 0.251131 + 4.63184i
\(89\) 1.41083 + 26.0212i 0.00168031 + 0.0309915i 0.999253 0.0386367i \(-0.0123015\pi\)
−0.997573 + 0.0696281i \(0.977819\pi\)
\(90\) −2126.50 + 1069.09i −2.49058 + 1.25213i
\(91\) −229.979 63.8534i −0.264927 0.0735567i
\(92\) −1091.67 + 829.863i −1.23711 + 0.940426i
\(93\) 24.7265 31.8067i 0.0275701 0.0354645i
\(94\) −576.102 2074.93i −0.632132 2.27673i
\(95\) −1241.36 1310.49i −1.34065 1.41530i
\(96\) 700.460 + 4582.77i 0.744691 + 4.87216i
\(97\) −429.300 + 713.503i −0.449369 + 0.746858i −0.995888 0.0905889i \(-0.971125\pi\)
0.546519 + 0.837447i \(0.315953\pi\)
\(98\) 426.988 + 197.546i 0.440126 + 0.203624i
\(99\) −604.573 + 1083.03i −0.613757 + 1.09948i
\(100\) 2099.48 + 1988.73i 2.09948 + 1.98873i
\(101\) 375.716 554.140i 0.370150 0.545930i −0.596308 0.802756i \(-0.703366\pi\)
0.966458 + 0.256825i \(0.0826765\pi\)
\(102\) 652.855 2820.20i 0.633748 2.73766i
\(103\) −65.9461 606.365i −0.0630861 0.580067i −0.982433 0.186618i \(-0.940247\pi\)
0.919346 0.393449i \(-0.128718\pi\)
\(104\) −637.999 1060.36i −0.601548 0.999780i
\(105\) 1017.65 845.610i 0.945834 0.785935i
\(106\) −979.213 2906.20i −0.897260 2.66297i
\(107\) −104.793 476.081i −0.0946799 0.430135i −0.999986 0.00537432i \(-0.998289\pi\)
0.905306 0.424761i \(-0.139642\pi\)
\(108\) −1289.75 + 2954.29i −1.14913 + 2.63219i
\(109\) 932.496 + 792.069i 0.819421 + 0.696023i 0.955602 0.294661i \(-0.0952069\pi\)
−0.136181 + 0.990684i \(0.543483\pi\)
\(110\) 3996.26 + 655.154i 3.46390 + 0.567877i
\(111\) −372.629 + 246.804i −0.318634 + 0.211042i
\(112\) −1666.90 4183.59i −1.40631 3.52958i
\(113\) 437.847 + 147.528i 0.364506 + 0.122816i 0.495594 0.868554i \(-0.334951\pi\)
−0.131088 + 0.991371i \(0.541847\pi\)
\(114\) −3272.61 391.802i −2.68867 0.321891i
\(115\) 396.906 + 857.898i 0.321840 + 0.695647i
\(116\) −122.988 6.66824i −0.0984412 0.00533733i
\(117\) 8.67650 400.749i 0.00685592 0.316660i
\(118\) −1473.25 + 2047.32i −1.14935 + 1.59721i
\(119\) 1609.24i 1.23965i
\(120\) 6845.67 + 445.521i 5.20768 + 0.338919i
\(121\) 707.337 327.249i 0.531433 0.245867i
\(122\) 268.278 2466.77i 0.199088 1.83058i
\(123\) −39.4275 + 112.961i −0.0289029 + 0.0828078i
\(124\) −165.493 + 65.9385i −0.119853 + 0.0477536i
\(125\) 11.2760 7.64531i 0.00806844 0.00547054i
\(126\) 442.370 2375.09i 0.312773 1.67929i
\(127\) 391.352 460.736i 0.273440 0.321919i −0.608252 0.793744i \(-0.708129\pi\)
0.881692 + 0.471825i \(0.156405\pi\)
\(128\) 2971.27 7457.32i 2.05176 5.14953i
\(129\) 208.498 + 998.579i 0.142304 + 0.681550i
\(130\) −1240.21 + 417.874i −0.836717 + 0.281923i
\(131\) 306.193 + 360.479i 0.204216 + 0.240421i 0.854730 0.519073i \(-0.173723\pi\)
−0.650515 + 0.759494i \(0.725447\pi\)
\(132\) 4729.90 2776.61i 3.11883 1.83085i
\(133\) 1821.53 198.103i 1.18757 0.129156i
\(134\) 801.224 3640.00i 0.516532 2.34663i
\(135\) 1797.74 + 1306.06i 1.14611 + 0.832650i
\(136\) −5737.87 + 6057.39i −3.61778 + 3.81924i
\(137\) −261.761 138.777i −0.163239 0.0865437i 0.384786 0.923006i \(-0.374275\pi\)
−0.548025 + 0.836462i \(0.684620\pi\)
\(138\) 1558.53 + 741.634i 0.961380 + 0.457479i
\(139\) 2271.55 + 1366.75i 1.38612 + 0.833999i 0.996221 0.0868600i \(-0.0276833\pi\)
0.389896 + 0.920859i \(0.372511\pi\)
\(140\) −5773.64 + 946.541i −3.48544 + 0.571409i
\(141\) −1474.46 + 1366.71i −0.880650 + 0.816295i
\(142\) 849.519 235.868i 0.502043 0.139392i
\(143\) −412.734 + 542.942i −0.241360 + 0.317504i
\(144\) 6118.65 4445.64i 3.54089 2.57271i
\(145\) −22.7142 + 81.8093i −0.0130091 + 0.0468544i
\(146\) −4387.27 + 2325.98i −2.48694 + 1.31849i
\(147\) −19.0312 438.823i −0.0106780 0.246214i
\(148\) 1973.46 106.998i 1.09607 0.0594270i
\(149\) 635.542 + 1198.76i 0.349434 + 0.659102i 0.994467 0.105053i \(-0.0335012\pi\)
−0.645033 + 0.764155i \(0.723156\pi\)
\(150\) 1011.68 3496.47i 0.550687 1.90324i
\(151\) 758.769 + 998.144i 0.408926 + 0.537932i 0.953743 0.300622i \(-0.0971943\pi\)
−0.544818 + 0.838554i \(0.683401\pi\)
\(152\) 7562.83 + 5749.12i 4.03570 + 3.06786i
\(153\) −2619.12 + 666.482i −1.38394 + 0.352169i
\(154\) −2984.25 + 2826.83i −1.56154 + 1.47917i
\(155\) 19.8670 + 121.183i 0.0102952 + 0.0627979i
\(156\) −930.193 + 1508.78i −0.477404 + 0.774354i
\(157\) 191.574 414.081i 0.0973841 0.210492i −0.852760 0.522302i \(-0.825073\pi\)
0.950144 + 0.311810i \(0.100935\pi\)
\(158\) 2029.81 3828.62i 1.02204 1.92778i
\(159\) −1991.35 + 2057.18i −0.993235 + 1.02607i
\(160\) −11696.2 7930.20i −5.77915 3.91836i
\(161\) −937.060 206.262i −0.458700 0.100967i
\(162\) 4048.80 263.690i 1.96360 0.127886i
\(163\) −883.235 + 531.425i −0.424419 + 0.255365i −0.711702 0.702481i \(-0.752076\pi\)
0.287283 + 0.957846i \(0.407248\pi\)
\(164\) 403.224 342.501i 0.191991 0.163078i
\(165\) −1168.35 3595.69i −0.551247 1.69651i
\(166\) 1043.77 229.752i 0.488027 0.107423i
\(167\) −2702.63 1076.83i −1.25231 0.498967i −0.352733 0.935724i \(-0.614748\pi\)
−0.899579 + 0.436757i \(0.856127\pi\)
\(168\) −4565.20 + 5258.15i −2.09650 + 2.41473i
\(169\) −319.778 + 1950.56i −0.145552 + 0.887827i
\(170\) 4951.73 + 7303.26i 2.23400 + 3.29491i
\(171\) 1076.83 + 2882.58i 0.481562 + 1.28910i
\(172\) 1440.31 4274.69i 0.638504 1.89501i
\(173\) 2325.63 + 252.928i 1.02205 + 0.111155i 0.603766 0.797162i \(-0.293666\pi\)
0.418284 + 0.908316i \(0.362632\pi\)
\(174\) 63.5682 + 141.397i 0.0276960 + 0.0616049i
\(175\) −109.547 + 2020.48i −0.0473200 + 0.872767i
\(176\) −12868.3 −5.51126
\(177\) 2329.40 + 345.133i 0.989201 + 0.146564i
\(178\) −145.038 −0.0610735
\(179\) 108.977 2009.96i 0.0455045 0.839281i −0.883322 0.468766i \(-0.844699\pi\)
0.928827 0.370514i \(-0.120819\pi\)
\(180\) −3931.76 9004.88i −1.62809 3.72880i
\(181\) 3662.18 + 398.286i 1.50391 + 0.163560i 0.822677 0.568508i \(-0.192479\pi\)
0.681231 + 0.732068i \(0.261445\pi\)
\(182\) 424.164 1258.87i 0.172753 0.512714i
\(183\) −2161.20 + 834.110i −0.873008 + 0.336935i
\(184\) −2791.78 4117.56i −1.11855 1.64973i
\(185\) 220.406 1344.42i 0.0875924 0.534290i
\(186\) 169.315 + 147.002i 0.0667463 + 0.0579501i
\(187\) 4271.69 + 1702.00i 1.67047 + 0.665574i
\(188\) 8682.13 1911.08i 3.36814 0.741383i
\(189\) −2159.72 + 650.423i −0.831199 + 0.250325i
\(190\) 7657.13 6504.02i 2.92372 2.48343i
\(191\) −49.6060 + 29.8470i −0.0187925 + 0.0113071i −0.524919 0.851152i \(-0.675904\pi\)
0.506127 + 0.862459i \(0.331077\pi\)
\(192\) −14090.9 + 1378.34i −5.29648 + 0.518088i
\(193\) 1928.09 + 424.405i 0.719104 + 0.158287i 0.559423 0.828882i \(-0.311023\pi\)
0.159680 + 0.987169i \(0.448954\pi\)
\(194\) −3835.94 2600.83i −1.41961 0.962521i
\(195\) 877.891 + 849.798i 0.322395 + 0.312078i
\(196\) −909.764 + 1716.00i −0.331547 + 0.625363i
\(197\) −1987.84 + 4296.65i −0.718923 + 1.55393i 0.109604 + 0.993975i \(0.465042\pi\)
−0.828526 + 0.559950i \(0.810820\pi\)
\(198\) −5836.78 3686.26i −2.09496 1.32309i
\(199\) −148.728 907.198i −0.0529800 0.323164i −0.999998 0.00198336i \(-0.999369\pi\)
0.947018 0.321180i \(-0.104080\pi\)
\(200\) −7616.55 + 7214.78i −2.69286 + 2.55081i
\(201\) −3362.72 + 894.569i −1.18004 + 0.313921i
\(202\) 2966.43 + 2255.02i 1.03325 + 0.785459i
\(203\) −52.1552 68.6089i −0.0180324 0.0237212i
\(204\) 11479.6 + 3321.55i 3.93988 + 1.13997i
\(205\) −170.825 322.209i −0.0581996 0.109776i
\(206\) 3389.75 183.787i 1.14648 0.0621604i
\(207\) −52.3900 1610.54i −0.0175911 0.540774i
\(208\) 3674.20 1947.94i 1.22481 0.649352i
\(209\) 1400.66 5044.73i 0.463569 1.66962i
\(210\) 4392.85 + 5910.41i 1.44350 + 1.94218i
\(211\) 2612.79 3437.07i 0.852473 1.12141i −0.138895 0.990307i \(-0.544355\pi\)
0.991369 0.131102i \(-0.0418517\pi\)
\(212\) 12198.9 3387.01i 3.95201 1.09727i
\(213\) −559.558 603.673i −0.180001 0.194192i
\(214\) 2677.40 438.938i 0.855249 0.140211i
\(215\) −2664.35 1603.09i −0.845149 0.508509i
\(216\) −10448.6 5252.38i −3.29138 1.65453i
\(217\) −110.129 58.3869i −0.0344519 0.0182653i
\(218\) −4682.91 + 4943.69i −1.45489 + 1.53591i
\(219\) 3808.80 + 2643.05i 1.17523 + 0.815530i
\(220\) −3593.87 + 16327.1i −1.10136 + 5.00352i
\(221\) −1477.31 + 160.668i −0.449660 + 0.0489035i
\(222\) −1259.34 2145.26i −0.380726 0.648561i
\(223\) −3683.19 4336.19i −1.10603 1.30212i −0.949263 0.314484i \(-0.898168\pi\)
−0.156768 0.987635i \(-0.550107\pi\)
\(224\) 13593.0 4580.01i 4.05455 1.36614i
\(225\) −3333.81 + 658.510i −0.987796 + 0.195114i
\(226\) −951.819 + 2388.89i −0.280151 + 0.703125i
\(227\) 2835.16 3337.81i 0.828970 0.975939i −0.170986 0.985273i \(-0.554695\pi\)
0.999956 + 0.00933431i \(0.00297125\pi\)
\(228\) 2346.54 13402.9i 0.681593 3.89311i
\(229\) −3022.95 + 2049.61i −0.872324 + 0.591450i −0.913108 0.407718i \(-0.866325\pi\)
0.0407844 + 0.999168i \(0.487014\pi\)
\(230\) −4887.38 + 1947.31i −1.40115 + 0.558268i
\(231\) 3623.29 + 1264.66i 1.03201 + 0.360210i
\(232\) 48.3115 444.217i 0.0136716 0.125708i
\(233\) −1467.17 + 678.785i −0.412521 + 0.190853i −0.615163 0.788400i \(-0.710910\pi\)
0.202641 + 0.979253i \(0.435048\pi\)
\(234\) 2224.55 + 168.973i 0.621468 + 0.0472057i
\(235\) 6128.12i 1.70108i
\(236\) −8110.27 6530.66i −2.23701 1.80131i
\(237\) −4045.46 43.7885i −1.10878 0.0120015i
\(238\) −8943.36 484.895i −2.43577 0.132063i
\(239\) −2016.48 4358.55i −0.545754 1.17963i −0.962669 0.270683i \(-0.912751\pi\)
0.416914 0.908946i \(-0.363112\pi\)
\(240\) −2740.44 + 22890.1i −0.737061 + 6.15646i
\(241\) −1410.26 475.174i −0.376943 0.127007i 0.124452 0.992226i \(-0.460283\pi\)
−0.501394 + 0.865219i \(0.667179\pi\)
\(242\) 1605.56 + 4029.64i 0.426484 + 1.07039i
\(243\) −1953.07 3245.68i −0.515594 0.856833i
\(244\) 10108.7 + 1657.23i 2.65222 + 0.434809i
\(245\) 1020.42 + 866.751i 0.266090 + 0.226019i
\(246\) −615.903 253.157i −0.159628 0.0656125i
\(247\) 363.725 + 1652.42i 0.0936976 + 0.425672i
\(248\) −206.359 612.451i −0.0528379 0.156817i
\(249\) −637.694 767.434i −0.162298 0.195318i
\(250\) 39.0912 + 64.9702i 0.00988939 + 0.0164363i
\(251\) 307.820 + 2830.36i 0.0774080 + 0.711755i 0.966961 + 0.254923i \(0.0820503\pi\)
−0.889553 + 0.456832i \(0.848984\pi\)
\(252\) 9691.84 + 2354.39i 2.42273 + 0.588543i
\(253\) −1538.59 + 2269.26i −0.382334 + 0.563901i
\(254\) 2442.62 + 2313.78i 0.603401 + 0.571572i
\(255\) 3937.23 7236.04i 0.966897 1.77701i
\(256\) 20765.6 + 9607.18i 5.06972 + 2.34550i
\(257\) 943.693 1568.43i 0.229050 0.380685i −0.720923 0.693015i \(-0.756282\pi\)
0.949974 + 0.312330i \(0.101110\pi\)
\(258\) −5612.44 + 857.842i −1.35432 + 0.207003i
\(259\) 951.001 + 1003.96i 0.228156 + 0.240861i
\(260\) −1445.39 5205.82i −0.344766 1.24174i
\(261\) 90.0640 113.300i 0.0213595 0.0268702i
\(262\) −2095.63 + 1593.05i −0.494154 + 0.375646i
\(263\) 5545.67 + 1539.75i 1.30023 + 0.361007i 0.847574 0.530678i \(-0.178063\pi\)
0.452657 + 0.891685i \(0.350476\pi\)
\(264\) 9129.31 + 17679.5i 2.12830 + 4.12158i
\(265\) −472.480 8714.38i −0.109525 2.02008i
\(266\) 552.099 + 10182.9i 0.127261 + 2.34718i
\(267\) 62.1280 + 120.315i 0.0142403 + 0.0275773i
\(268\) 14825.9 + 4116.39i 3.37923 + 0.938240i
\(269\) −3427.82 + 2605.76i −0.776943 + 0.590617i −0.916703 0.399568i \(-0.869160\pi\)
0.139760 + 0.990185i \(0.455367\pi\)
\(270\) −7800.15 + 9597.45i −1.75815 + 2.16327i
\(271\) 8.08579 + 29.1224i 0.00181246 + 0.00652789i 0.964451 0.264263i \(-0.0851286\pi\)
−0.962638 + 0.270791i \(0.912715\pi\)
\(272\) −19282.1 20355.9i −4.29835 4.53771i
\(273\) −1225.98 + 187.386i −0.271793 + 0.0415425i
\(274\) 850.127 1412.92i 0.187438 0.311525i
\(275\) 5247.47 + 2427.74i 1.15067 + 0.532357i
\(276\) −3405.53 + 6258.86i −0.742713 + 1.36500i
\(277\) 2273.90 + 2153.95i 0.493233 + 0.467215i 0.893422 0.449217i \(-0.148297\pi\)
−0.400190 + 0.916432i \(0.631056\pi\)
\(278\) −8280.17 + 12212.3i −1.78637 + 2.63470i
\(279\) 49.4165 203.423i 0.0106039 0.0436509i
\(280\) −2294.87 21101.0i −0.489803 4.50366i
\(281\) 3043.98 + 5059.14i 0.646223 + 1.07403i 0.990808 + 0.135276i \(0.0431921\pi\)
−0.344585 + 0.938755i \(0.611980\pi\)
\(282\) −7151.21 8606.13i −1.51010 1.81733i
\(283\) 1402.72 + 4163.12i 0.294639 + 0.874458i 0.988080 + 0.153944i \(0.0491975\pi\)
−0.693440 + 0.720514i \(0.743906\pi\)
\(284\) 782.436 + 3554.64i 0.163482 + 0.742708i
\(285\) −8675.31 3565.84i −1.80309 0.741130i
\(286\) −2893.04 2457.37i −0.598144 0.508068i
\(287\) 365.305 + 59.8887i 0.0751333 + 0.0123175i
\(288\) 13083.9 + 20226.4i 2.67699 + 4.13838i
\(289\) 1889.99 + 4743.51i 0.384691 + 0.965502i
\(290\) −447.812 150.885i −0.0906774 0.0305528i
\(291\) −514.341 + 4296.14i −0.103612 + 0.865444i
\(292\) −8607.70 18605.2i −1.72509 3.72873i
\(293\) −444.195 24.0836i −0.0885671 0.00480197i 0.00980211 0.999952i \(-0.496880\pi\)
−0.0983692 + 0.995150i \(0.531363\pi\)
\(294\) 2444.50 + 26.4595i 0.484918 + 0.00524880i
\(295\) −5598.35 + 4492.20i −1.10491 + 0.886596i
\(296\) 7169.91i 1.40791i
\(297\) −557.676 + 6420.86i −0.108955 + 1.25446i
\(298\) −6853.62 + 3170.82i −1.33228 + 0.616379i
\(299\) 95.7964 880.834i 0.0185286 0.170368i
\(300\) 14187.2 + 4951.84i 2.73032 + 0.952982i
\(301\) 2932.08 1168.25i 0.561470 0.223710i
\(302\) −5775.83 + 3916.11i −1.10054 + 0.746182i
\(303\) 599.937 3426.72i 0.113748 0.649702i
\(304\) −20667.5 + 24331.7i −3.89922 + 4.59052i
\(305\) 2613.63 6559.72i 0.490675 1.23150i
\(306\) −2914.79 14756.6i −0.544535 2.75679i
\(307\) −9311.93 + 3137.56i −1.73114 + 0.583289i −0.995558 0.0941461i \(-0.969988\pi\)
−0.735582 + 0.677435i \(0.763091\pi\)
\(308\) −10985.9 12933.6i −2.03240 2.39273i
\(309\) −1604.48 2733.20i −0.295390 0.503192i
\(310\) −679.464 + 73.8962i −0.124487 + 0.0135388i
\(311\) 632.855 2875.09i 0.115389 0.524217i −0.883096 0.469192i \(-0.844545\pi\)
0.998485 0.0550247i \(-0.0175238\pi\)
\(312\) −5282.88 3665.97i −0.958603 0.665207i
\(313\) 6166.94 6510.36i 1.11366 1.17568i 0.130786 0.991411i \(-0.458250\pi\)
0.982876 0.184268i \(-0.0589915\pi\)
\(314\) 2243.54 + 1189.45i 0.403217 + 0.213772i
\(315\) 3021.20 6175.79i 0.540398 1.10466i
\(316\) 15328.8 + 9223.05i 2.72884 + 1.64189i
\(317\) −3784.82 + 620.490i −0.670589 + 0.109938i −0.487452 0.873150i \(-0.662074\pi\)
−0.183137 + 0.983087i \(0.558625\pi\)
\(318\) −10832.8 11686.8i −1.91029 2.06090i
\(319\) −237.283 + 65.8812i −0.0416466 + 0.0115631i
\(320\) 26116.9 34356.2i 4.56243 6.00178i
\(321\) −1511.00 2032.98i −0.262728 0.353489i
\(322\) 1428.66 5145.57i 0.247255 0.890533i
\(323\) 10078.9 5343.49i 1.73624 0.920495i
\(324\) 182.082 + 16749.1i 0.0312211 + 2.87193i
\(325\) −1865.78 + 101.160i −0.318446 + 0.0172656i
\(326\) −2687.27 5068.72i −0.456546 0.861137i
\(327\) 6106.93 + 1766.99i 1.03276 + 0.298823i
\(328\) 1161.52 + 1527.95i 0.195531 + 0.257217i
\(329\) 4951.99 + 3764.41i 0.829824 + 0.630816i
\(330\) 20335.1 5409.66i 3.39216 0.902399i
\(331\) 6537.69 6192.82i 1.08563 1.02836i 0.0861452 0.996283i \(-0.472545\pi\)
0.999485 0.0320812i \(-0.0102135\pi\)
\(332\) 713.808 + 4354.04i 0.117998 + 0.719755i
\(333\) −1240.13 + 1963.60i −0.204080 + 0.323137i
\(334\) 6798.84 14695.5i 1.11382 2.40748i
\(335\) 4968.19 9370.99i 0.810272 1.52833i
\(336\) −16813.5 16275.5i −2.72992 2.64256i
\(337\) −7749.79 5254.49i −1.25269 0.849347i −0.259491 0.965746i \(-0.583555\pi\)
−0.993203 + 0.116398i \(0.962865\pi\)
\(338\) −10743.9 2364.91i −1.72897 0.380574i
\(339\) 2389.39 233.723i 0.382813 0.0374458i
\(340\) −31212.5 + 18780.0i −4.97864 + 2.99555i
\(341\) −271.464 + 230.584i −0.0431103 + 0.0366182i
\(342\) −16344.5 + 5115.90i −2.58423 + 0.808878i
\(343\) −6712.71 + 1477.58i −1.05671 + 0.232600i
\(344\) 15202.2 + 6057.13i 2.38270 + 0.949356i
\(345\) 3708.90 + 3220.12i 0.578784 + 0.502509i
\(346\) −2106.41 + 12848.5i −0.327287 + 1.99636i
\(347\) −6182.19 9118.05i −0.956419 1.41061i −0.911352 0.411628i \(-0.864960\pi\)
−0.0450672 0.998984i \(-0.514350\pi\)
\(348\) −597.079 + 230.441i −0.0919735 + 0.0354970i
\(349\) 319.815 949.177i 0.0490525 0.145583i −0.920327 0.391149i \(-0.872078\pi\)
0.969380 + 0.245567i \(0.0789741\pi\)
\(350\) −11195.9 1217.62i −1.70984 0.185956i
\(351\) −812.730 1917.73i −0.123591 0.291626i
\(352\) 2218.96 40926.3i 0.335997 6.19710i
\(353\) −231.752 −0.0349430 −0.0174715 0.999847i \(-0.505562\pi\)
−0.0174715 + 0.999847i \(0.505562\pi\)
\(354\) −2619.97 + 12841.7i −0.393362 + 1.92805i
\(355\) 2508.98 0.375106
\(356\) 32.4163 597.883i 0.00482601 0.0890105i
\(357\) 3428.70 + 7626.56i 0.508309 + 1.13065i
\(358\) 11137.5 + 1211.28i 1.64424 + 0.178821i
\(359\) 383.304 1137.60i 0.0563510 0.167244i −0.915781 0.401678i \(-0.868427\pi\)
0.972132 + 0.234434i \(0.0753237\pi\)
\(360\) 33392.5 12474.2i 4.88872 1.82625i
\(361\) −3439.97 5073.58i −0.501527 0.739696i
\(362\) −3316.96 + 20232.6i −0.481591 + 2.93757i
\(363\) 2654.99 3057.99i 0.383886 0.442156i
\(364\) 5094.58 + 2029.87i 0.733595 + 0.292291i
\(365\) −13800.8 + 3037.79i −1.97909 + 0.435631i
\(366\) −3984.37 12262.2i −0.569033 1.75125i
\(367\) −10424.9 + 8854.96i −1.48276 + 1.25947i −0.591235 + 0.806499i \(0.701359\pi\)
−0.891526 + 0.452970i \(0.850365\pi\)
\(368\) 14324.7 8618.89i 2.02915 1.22090i
\(369\) 53.8228 + 619.356i 0.00759323 + 0.0873777i
\(370\) 7405.21 + 1630.01i 1.04048 + 0.229028i
\(371\) 7332.12 + 4971.30i 1.02605 + 0.695680i
\(372\) −643.820 + 665.104i −0.0897326 + 0.0926990i
\(373\) 607.277 1145.45i 0.0842992 0.159005i −0.837778 0.546011i \(-0.816146\pi\)
0.922077 + 0.387006i \(0.126491\pi\)
\(374\) −10746.0 + 23227.1i −1.48573 + 3.21136i
\(375\) 37.1502 60.2580i 0.00511581 0.00829789i
\(376\) 5217.68 + 31826.5i 0.715642 + 4.36523i
\(377\) 57.7772 54.7295i 0.00789305 0.00747669i
\(378\) −2963.97 12198.7i −0.403307 1.65987i
\(379\) −4043.37 3073.69i −0.548005 0.416583i 0.294197 0.955745i \(-0.404948\pi\)
−0.842202 + 0.539162i \(0.818741\pi\)
\(380\) 25099.8 + 33018.2i 3.38840 + 4.45736i
\(381\) 873.052 3017.37i 0.117396 0.405733i
\(382\) −150.928 284.680i −0.0202150 0.0381295i
\(383\) 3091.56 167.619i 0.412457 0.0223628i 0.153257 0.988186i \(-0.451024\pi\)
0.259200 + 0.965824i \(0.416541\pi\)
\(384\) −1807.30 41672.7i −0.240178 5.53802i
\(385\) −10335.0 + 5479.29i −1.36811 + 0.725326i
\(386\) −2939.61 + 10587.5i −0.387622 + 1.39609i
\(387\) 3115.73 + 4288.27i 0.409255 + 0.563269i
\(388\) 11578.6 15231.4i 1.51499 1.99293i
\(389\) −12564.5 + 3488.53i −1.63765 + 0.454692i −0.959841 0.280543i \(-0.909486\pi\)
−0.677812 + 0.735235i \(0.737072\pi\)
\(390\) −4987.29 + 4622.83i −0.647542 + 0.600221i
\(391\) −5895.13 + 966.458i −0.762480 + 0.125002i
\(392\) −6037.53 3632.66i −0.777912 0.468054i
\(393\) 2219.17 + 1056.01i 0.284841 + 0.135543i
\(394\) −23279.7 12342.1i −2.97669 1.57814i
\(395\) 8480.60 8952.86i 1.08027 1.14042i
\(396\) 16500.2 23236.7i 2.09385 2.94871i
\(397\) −1854.65 + 8425.78i −0.234465 + 1.06518i 0.701385 + 0.712783i \(0.252565\pi\)
−0.935849 + 0.352400i \(0.885366\pi\)
\(398\) 5086.58 553.199i 0.640622 0.0696718i
\(399\) 8210.57 4819.87i 1.03018 0.604750i
\(400\) −22824.0 26870.5i −2.85300 3.35881i
\(401\) −3424.26 + 1153.77i −0.426433 + 0.143682i −0.524331 0.851514i \(-0.675685\pi\)
0.0978982 + 0.995196i \(0.468788\pi\)
\(402\) −3958.33 18957.9i −0.491103 2.35208i
\(403\) 42.6050 106.930i 0.00526627 0.0132173i
\(404\) −9958.74 + 11724.3i −1.22640 + 1.44383i
\(405\) 11302.7 + 2359.39i 1.38675 + 0.289479i
\(406\) 397.011 269.180i 0.0485303 0.0329044i
\(407\) 3670.81 1462.58i 0.447065 0.178127i
\(408\) −14287.0 + 40932.8i −1.73361 + 4.96685i
\(409\) 1565.05 14390.4i 0.189210 1.73976i −0.386664 0.922221i \(-0.626373\pi\)
0.575874 0.817538i \(-0.304662\pi\)
\(410\) 1842.16 852.272i 0.221897 0.102660i
\(411\) −1536.23 99.9788i −0.184371 0.0119990i
\(412\) 14014.5i 1.67583i
\(413\) −191.060 7283.38i −0.0227639 0.867777i
\(414\) 8966.38 + 194.128i 1.06443 + 0.0230456i
\(415\) 3036.97 + 164.660i 0.359227 + 0.0194767i
\(416\) 5561.68 + 12021.4i 0.655489 + 1.41682i
\(417\) 13677.5 + 1637.49i 1.60621 + 0.192297i
\(418\) 27614.1 + 9304.29i 3.23122 + 1.08873i
\(419\) −900.174 2259.27i −0.104956 0.263419i 0.867115 0.498108i \(-0.165972\pi\)
−0.972070 + 0.234690i \(0.924593\pi\)
\(420\) −25345.9 + 16787.4i −2.94465 + 1.95034i
\(421\) 3492.94 + 572.638i 0.404359 + 0.0662913i 0.360530 0.932748i \(-0.382596\pi\)
0.0438294 + 0.999039i \(0.486044\pi\)
\(422\) 18314.3 + 15556.3i 2.11262 + 1.79447i
\(423\) −4075.85 + 9618.69i −0.468498 + 1.10562i
\(424\) 9873.54 + 44856.0i 1.13090 + 5.13773i
\(425\) 4022.58 + 11938.6i 0.459115 + 1.36261i
\(426\) 3523.53 2927.85i 0.400740 0.332993i
\(427\) 3695.24 + 6141.54i 0.418795 + 0.696042i
\(428\) 1211.00 + 11135.0i 0.136767 + 1.25755i
\(429\) −799.231 + 3452.52i −0.0899469 + 0.388553i
\(430\) 9711.99 14324.1i 1.08919 1.60644i
\(431\) −9262.69 8774.08i −1.03519 0.980586i −0.0353688 0.999374i \(-0.511261\pi\)
−0.999823 + 0.0187881i \(0.994019\pi\)
\(432\) 19525.7 34105.6i 2.17461 3.79839i
\(433\) 683.214 + 316.089i 0.0758272 + 0.0350814i 0.457436 0.889242i \(-0.348768\pi\)
−0.381609 + 0.924324i \(0.624630\pi\)
\(434\) 357.670 594.452i 0.0395593 0.0657480i
\(435\) 66.6578 + 436.110i 0.00734712 + 0.0480686i
\(436\) −19332.5 20409.0i −2.12352 2.24178i
\(437\) 1819.67 + 6553.84i 0.199191 + 0.717421i
\(438\) −15836.5 + 20371.1i −1.72762 + 2.22230i
\(439\) −5427.78 + 4126.09i −0.590100 + 0.448582i −0.857126 0.515107i \(-0.827752\pi\)
0.267026 + 0.963689i \(0.413959\pi\)
\(440\) −58439.3 16225.6i −6.33179 1.75801i
\(441\) −1025.17 2039.14i −0.110697 0.220185i
\(442\) −447.769 8258.61i −0.0481859 0.888737i
\(443\) −843.894 15564.7i −0.0905070 1.66930i −0.593365 0.804934i \(-0.702201\pi\)
0.502858 0.864369i \(-0.332282\pi\)
\(444\) 9124.74 4711.83i 0.975318 0.503634i
\(445\) −397.699 110.421i −0.0423657 0.0117628i
\(446\) 25208.3 19162.8i 2.67634 2.03450i
\(447\) 5566.10 + 4327.09i 0.588966 + 0.457863i
\(448\) 11719.2 + 42208.9i 1.23590 + 4.45130i
\(449\) −2179.54 2300.91i −0.229084 0.241841i 0.601312 0.799014i \(-0.294645\pi\)
−0.830397 + 0.557173i \(0.811886\pi\)
\(450\) −2655.13 18726.1i −0.278143 1.96168i
\(451\) 545.335 906.354i 0.0569375 0.0946309i
\(452\) −9634.83 4457.55i −1.00262 0.463862i
\(453\) 5722.67 + 3113.78i 0.593542 + 0.322954i
\(454\) 17695.6 + 16762.2i 1.82929 + 1.73279i
\(455\) 2121.48 3128.94i 0.218585 0.322389i
\(456\) 48091.4 + 11132.8i 4.93878 + 1.14329i
\(457\) −270.007 2482.67i −0.0276376 0.254124i −0.999803 0.0198295i \(-0.993688\pi\)
0.972166 0.234294i \(-0.0752778\pi\)
\(458\) −10479.9 17417.7i −1.06920 1.77702i
\(459\) −10992.6 + 8739.01i −1.11784 + 0.888675i
\(460\) −6934.94 20582.2i −0.702920 2.08619i
\(461\) 2531.89 + 11502.5i 0.255796 + 1.16209i 0.912865 + 0.408262i \(0.133865\pi\)
−0.657069 + 0.753830i \(0.728204\pi\)
\(462\) −8120.13 + 19755.4i −0.817711 + 1.98940i
\(463\) −10886.9 9247.42i −1.09278 0.928216i −0.0950444 0.995473i \(-0.530299\pi\)
−0.997736 + 0.0672573i \(0.978575\pi\)
\(464\) 1481.81 + 242.931i 0.148258 + 0.0243056i
\(465\) 352.352 + 531.987i 0.0351397 + 0.0530545i
\(466\) −3330.27 8358.35i −0.331055 0.830886i
\(467\) −12806.6 4315.06i −1.26899 0.427574i −0.397329 0.917676i \(-0.630063\pi\)
−0.871665 + 0.490102i \(0.836959\pi\)
\(468\) −1193.74 + 9132.38i −0.117907 + 0.902018i
\(469\) 4520.60 + 9771.12i 0.445079 + 0.962022i
\(470\) 34057.1 + 1846.52i 3.34242 + 0.181221i
\(471\) 25.6597 2370.61i 0.00251026 0.231915i
\(472\) 25250.3 28096.9i 2.46237 2.73997i
\(473\) 9018.74i 0.876707i
\(474\) 1462.33 22469.5i 0.141703 2.17734i
\(475\) 13018.3 6022.93i 1.25752 0.581791i
\(476\) 3997.71 36758.3i 0.384947 3.53953i
\(477\) −5054.38 + 13992.3i −0.485166 + 1.34311i
\(478\) 24830.3 9893.30i 2.37597 0.946672i
\(479\) 5303.95 3596.16i 0.505936 0.343033i −0.281366 0.959601i \(-0.590787\pi\)
0.787302 + 0.616567i \(0.211477\pi\)
\(480\) −72327.4 12662.8i −6.87766 1.20412i
\(481\) −826.707 + 973.275i −0.0783671 + 0.0922609i
\(482\) 3065.72 7694.39i 0.289709 0.727116i
\(483\) −4880.42 + 1019.01i −0.459766 + 0.0959968i
\(484\) −16970.0 + 5717.86i −1.59373 + 0.536989i
\(485\) −8538.20 10051.9i −0.799381 0.941104i
\(486\) 18626.4 9876.22i 1.73850 0.921799i
\(487\) −16117.4 + 1752.87i −1.49969 + 0.163101i −0.820833 0.571169i \(-0.806490\pi\)
−0.678858 + 0.734270i \(0.737525\pi\)
\(488\) −7988.76 + 36293.3i −0.741053 + 3.36664i
\(489\) −3053.59 + 4400.41i −0.282389 + 0.406939i
\(490\) −5124.46 + 5409.82i −0.472448 + 0.498757i
\(491\) 16121.0 + 8546.80i 1.48173 + 0.785563i 0.996069 0.0885837i \(-0.0282341\pi\)
0.485661 + 0.874147i \(0.338579\pi\)
\(492\) 1181.23 2482.32i 0.108240 0.227463i
\(493\) −459.766 276.632i −0.0420017 0.0252716i
\(494\) −9292.95 + 1523.50i −0.846376 + 0.138756i
\(495\) −13198.2 14551.5i −1.19841 1.32130i
\(496\) 2092.67 581.027i 0.189443 0.0525986i
\(497\) −1541.22 + 2027.45i −0.139101 + 0.182985i
\(498\) 4457.17 3312.75i 0.401066 0.298088i
\(499\) 1080.53 3891.71i 0.0969360 0.349132i −0.899137 0.437667i \(-0.855805\pi\)
0.996073 + 0.0885353i \(0.0282186\pi\)
\(500\) −276.560 + 146.623i −0.0247362 + 0.0131143i
\(501\) −15102.8 + 654.990i −1.34679 + 0.0584088i
\(502\) −15822.5 + 857.871i −1.40676 + 0.0762722i
\(503\) 3758.38 + 7089.05i 0.333156 + 0.628400i 0.992334 0.123588i \(-0.0394401\pi\)
−0.659177 + 0.751988i \(0.729095\pi\)
\(504\) −10432.4 + 34646.4i −0.922012 + 3.06205i
\(505\) 6417.24 + 8441.74i 0.565472 + 0.743866i
\(506\) −12147.8 9234.53i −1.06727 0.811314i
\(507\) 2640.43 + 9925.48i 0.231293 + 0.869440i
\(508\) −10083.9 + 9551.95i −0.880707 + 0.834250i
\(509\) −36.2113 220.879i −0.00315331 0.0192344i 0.985203 0.171391i \(-0.0548263\pi\)
−0.988356 + 0.152157i \(0.951378\pi\)
\(510\) 39028.1 + 24061.6i 3.38861 + 2.08914i
\(511\) 6022.86 13018.2i 0.521400 1.12699i
\(512\) −29568.1 + 55771.4i −2.55222 + 4.81401i
\(513\) 11245.1 + 11366.9i 0.967802 + 0.978288i
\(514\) 8432.22 + 5717.19i 0.723598 + 0.490612i
\(515\) 9434.72 + 2076.74i 0.807269 + 0.177693i
\(516\) −2281.84 23327.6i −0.194675 1.99019i
\(517\) 15230.0 9163.58i 1.29558 0.779523i
\(518\) −5866.07 + 4982.69i −0.497569 + 0.422639i
\(519\) 11560.6 3756.40i 0.977756 0.317702i
\(520\) 19142.0 4213.48i 1.61429 0.355333i
\(521\) −11811.6 4706.16i −0.993233 0.395740i −0.183807 0.982962i \(-0.558842\pi\)
−0.809426 + 0.587222i \(0.800222\pi\)
\(522\) 602.530 + 534.672i 0.0505211 + 0.0448313i
\(523\) −2578.02 + 15725.2i −0.215543 + 1.31475i 0.628219 + 0.778036i \(0.283784\pi\)
−0.843762 + 0.536717i \(0.819664\pi\)
\(524\) −6098.58 8994.73i −0.508431 0.749879i
\(525\) 3785.75 + 9808.96i 0.314711 + 0.815425i
\(526\) −10228.2 + 30356.2i −0.847852 + 2.51633i
\(527\) −771.523 83.9082i −0.0637724 0.00693567i
\(528\) −60985.7 + 27417.6i −5.02663 + 2.25984i
\(529\) −465.874 + 8592.54i −0.0382900 + 0.706217i
\(530\) 48572.7 3.98087
\(531\) 11774.9 3327.45i 0.962315 0.271938i
\(532\) −42099.6 −3.43092
\(533\) −18.5067 + 341.337i −0.00150397 + 0.0277391i
\(534\) −687.371 + 309.024i −0.0557031 + 0.0250427i
\(535\) 7675.68 + 834.781i 0.620278 + 0.0674593i
\(536\) −17823.6 + 52898.4i −1.43631 + 4.26281i
\(537\) −3766.02 9757.85i −0.302637 0.784139i
\(538\) −13448.7 19835.3i −1.07772 1.58952i
\(539\) −628.239 + 3832.09i −0.0502044 + 0.306233i
\(540\) −37819.7 34299.1i −3.01389 2.73333i
\(541\) −1597.76 636.604i −0.126974 0.0505910i 0.305786 0.952100i \(-0.401081\pi\)
−0.432760 + 0.901509i \(0.642460\pi\)
\(542\) −164.284 + 36.1617i −0.0130196 + 0.00286583i
\(543\) 18204.5 5915.20i 1.43873 0.467487i
\(544\) 68065.0 57815.0i 5.36446 4.55661i
\(545\) −16604.4 + 9990.55i −1.30506 + 0.785226i
\(546\) −671.989 6869.84i −0.0526712 0.538465i
\(547\) 5860.60 + 1290.02i 0.458101 + 0.100836i 0.438025 0.898963i \(-0.355678\pi\)
0.0200759 + 0.999798i \(0.493609\pi\)
\(548\) 5634.40 + 3820.22i 0.439215 + 0.297795i
\(549\) −8465.25 + 8557.78i −0.658084 + 0.665277i
\(550\) −15073.4 + 28431.4i −1.16860 + 2.20421i
\(551\) −256.526 + 554.472i −0.0198337 + 0.0428699i
\(552\) −22003.9 13565.8i −1.69665 1.04602i
\(553\) 2025.10 + 12352.6i 0.155725 + 0.949881i
\(554\) −12655.8 + 11988.2i −0.970566 + 0.919369i
\(555\) −1819.91 6841.13i −0.139191 0.523225i
\(556\) −48491.6 36862.3i −3.69874 2.81171i
\(557\) −4969.95 6537.86i −0.378068 0.497340i 0.567225 0.823563i \(-0.308017\pi\)
−0.945293 + 0.326223i \(0.894224\pi\)
\(558\) 1115.63 + 335.928i 0.0846390 + 0.0254856i
\(559\) 1365.22 + 2575.07i 0.103296 + 0.194837i
\(560\) 71223.5 3861.62i 5.37454 0.291399i
\(561\) 23870.9 1035.25i 1.79649 0.0779117i
\(562\) −29033.4 + 15392.6i −2.17918 + 1.15533i
\(563\) 2733.12 9843.82i 0.204596 0.736887i −0.788027 0.615641i \(-0.788897\pi\)
0.992622 0.121246i \(-0.0386891\pi\)
\(564\) 37074.9 27555.5i 2.76797 2.05727i
\(565\) −4428.62 + 5825.76i −0.329759 + 0.433790i
\(566\) −23559.2 + 6541.19i −1.74959 + 0.485772i
\(567\) −8849.62 + 7684.10i −0.655466 + 0.569139i
\(568\) −13030.4 + 2136.23i −0.962577 + 0.157806i
\(569\) −2716.77 1634.62i −0.200163 0.120434i 0.411944 0.911209i \(-0.364850\pi\)
−0.612107 + 0.790775i \(0.709678\pi\)
\(570\) 22431.2 47138.7i 1.64832 3.46390i
\(571\) 12742.5 + 6755.63i 0.933898 + 0.495121i 0.864592 0.502474i \(-0.167577\pi\)
0.0693058 + 0.997595i \(0.477922\pi\)
\(572\) 10776.5 11376.6i 0.787740 0.831607i
\(573\) −171.502 + 247.144i −0.0125036 + 0.0180185i
\(574\) −442.906 + 2012.14i −0.0322065 + 0.146316i
\(575\) −7467.44 + 812.133i −0.541589 + 0.0589014i
\(576\) −63843.5 + 36554.9i −4.61831 + 2.64431i
\(577\) 13771.8 + 16213.4i 0.993636 + 1.16980i 0.985473 + 0.169832i \(0.0543226\pi\)
0.00816328 + 0.999967i \(0.497402\pi\)
\(578\) −26931.6 + 9074.33i −1.93808 + 0.653014i
\(579\) 10041.9 2096.71i 0.720775 0.150494i
\(580\) 722.073 1812.27i 0.0516939 0.129742i
\(581\) −1998.62 + 2352.96i −0.142714 + 0.168016i
\(582\) −23720.9 4152.97i −1.68945 0.295784i
\(583\) 20951.0 14205.1i 1.48834 1.00912i
\(584\) 69088.3 27527.3i 4.89536 1.95049i
\(585\) 5971.15 + 2156.93i 0.422011 + 0.152441i
\(586\) 267.689 2461.36i 0.0188706 0.173512i
\(587\) 3794.02 1755.30i 0.266773 0.123422i −0.281943 0.959431i \(-0.590979\pi\)
0.548716 + 0.836009i \(0.315117\pi\)
\(588\) −655.421 + 10070.9i −0.0459679 + 0.706321i
\(589\) 883.631i 0.0618156i
\(590\) −23278.6 32466.5i −1.62434 2.26547i
\(591\) −266.253 + 24598.2i −0.0185316 + 1.71207i
\(592\) −24059.2 1304.45i −1.67031 0.0905618i
\(593\) 7071.88 + 15285.6i 0.489726 + 1.05852i 0.982138 + 0.188162i \(0.0602531\pi\)
−0.492412 + 0.870362i \(0.663885\pi\)
\(594\) −35516.0 5034.02i −2.45326 0.347725i
\(595\) −24153.8 8138.36i −1.66422 0.560740i
\(596\) −11539.1 28961.0i −0.793054 1.99041i
\(597\) −2637.77 3982.55i −0.180832 0.273023i
\(598\) 4866.38 + 797.803i 0.332778 + 0.0545561i
\(599\) 6755.96 + 5738.56i 0.460836 + 0.391438i 0.847511 0.530778i \(-0.178100\pi\)
−0.386674 + 0.922216i \(0.626376\pi\)
\(600\) −20724.6 + 50420.7i −1.41013 + 3.43069i
\(601\) 82.7587 + 375.977i 0.00561697 + 0.0255182i 0.979346 0.202193i \(-0.0648068\pi\)
−0.973729 + 0.227711i \(0.926876\pi\)
\(602\) 5609.06 + 16647.1i 0.379748 + 1.12705i
\(603\) −14030.8 + 11404.3i −0.947556 + 0.770182i
\(604\) −14852.2 24684.6i −1.00055 1.66292i
\(605\) 1334.63 + 12271.7i 0.0896868 + 0.824656i
\(606\) 18863.3 + 4366.70i 1.26447 + 0.292714i
\(607\) 1082.57 1596.67i 0.0723890 0.106766i −0.789771 0.613402i \(-0.789801\pi\)
0.862160 + 0.506636i \(0.169111\pi\)
\(608\) −73820.9 69926.9i −4.92407 4.66433i
\(609\) −393.357 214.030i −0.0261734 0.0142413i
\(610\) 35668.2 + 16501.9i 2.36748 + 1.09531i
\(611\) −2961.39 + 4921.87i −0.196080 + 0.325888i
\(612\) 61481.8 8717.36i 4.06087 0.575782i
\(613\) −15612.5 16481.9i −1.02868 1.08597i −0.996253 0.0864915i \(-0.972434\pi\)
−0.0324286 0.999474i \(-0.510324\pi\)
\(614\) −14631.1 52696.6i −0.961669 3.46362i
\(615\) −1496.09 1163.06i −0.0980946 0.0762588i
\(616\) 49009.9 37256.3i 3.20562 2.43685i
\(617\) 12791.1 + 3551.42i 0.834601 + 0.231726i 0.658438 0.752635i \(-0.271218\pi\)
0.176163 + 0.984361i \(0.443631\pi\)
\(618\) 15673.3 8093.34i 1.02018 0.526799i
\(619\) 567.084 + 10459.2i 0.0368223 + 0.679148i 0.957431 + 0.288662i \(0.0932103\pi\)
−0.920609 + 0.390486i \(0.872307\pi\)
\(620\) −152.757 2817.43i −0.00989493 0.182501i
\(621\) −3679.76 7521.10i −0.237784 0.486009i
\(622\) 15787.7 + 4383.42i 1.01773 + 0.282571i
\(623\) 333.528 253.542i 0.0214487 0.0163049i
\(624\) 13262.6 17060.1i 0.850846 1.09447i
\(625\) −4151.17 14951.2i −0.265675 0.956874i
\(626\) 34323.2 + 36234.6i 2.19142 + 2.31346i
\(627\) −4110.42 26892.5i −0.261809 1.71289i
\(628\) −5404.63 + 8982.56i −0.343421 + 0.570770i
\(629\) 7814.06 + 3615.17i 0.495337 + 0.229167i
\(630\) 33411.7 + 18651.2i 2.11294 + 1.17950i
\(631\) 5959.87 + 5645.49i 0.376004 + 0.356170i 0.852243 0.523146i \(-0.175242\pi\)
−0.476239 + 0.879316i \(0.658000\pi\)
\(632\) −36421.3 + 53717.4i −2.29234 + 3.38095i
\(633\) 5059.49 21856.0i 0.317688 1.37235i
\(634\) −2307.94 21221.2i −0.144574 1.32934i
\(635\) 4936.22 + 8204.06i 0.308485 + 0.512706i
\(636\) 50597.1 42043.3i 3.15457 2.62127i
\(637\) −400.707 1189.25i −0.0249240 0.0739717i
\(638\) −294.638 1338.55i −0.0182834 0.0830624i
\(639\) −3938.09 1668.73i −0.243800 0.103308i
\(640\) 96903.8 + 82310.9i 5.98509 + 5.08379i
\(641\) −10409.7 1706.59i −0.641434 0.105158i −0.167717 0.985835i \(-0.553640\pi\)
−0.473717 + 0.880677i \(0.657088\pi\)
\(642\) 11753.6 7784.80i 0.722552 0.478569i
\(643\) −4866.10 12213.0i −0.298445 0.749041i −0.999359 0.0357954i \(-0.988604\pi\)
0.700914 0.713246i \(-0.252776\pi\)
\(644\) 20892.0 + 7039.33i 1.27835 + 0.430727i
\(645\) −16042.6 1920.64i −0.979342 0.117248i
\(646\) 26659.6 + 57623.7i 1.62369 + 3.50956i
\(647\) −8404.58 455.683i −0.510692 0.0276889i −0.203007 0.979177i \(-0.565072\pi\)
−0.307685 + 0.951488i \(0.599554\pi\)
\(648\) −60709.5 2630.04i −3.68039 0.159441i
\(649\) −19535.7 7196.04i −1.18158 0.435238i
\(650\) 10399.6i 0.627547i
\(651\) −646.331 42.0637i −0.0389120 0.00253242i
\(652\) 21495.1 9944.70i 1.29112 0.597338i
\(653\) −1194.57 + 10983.9i −0.0715880 + 0.658241i 0.902284 + 0.431143i \(0.141889\pi\)
−0.973872 + 0.227098i \(0.927076\pi\)
\(654\) −11660.2 + 33406.9i −0.697173 + 1.99742i
\(655\) −6959.10 + 2772.76i −0.415137 + 0.165406i
\(656\) −5338.48 + 3619.58i −0.317733 + 0.215428i
\(657\) 23682.2 + 4410.89i 1.40629 + 0.261926i
\(658\) −22412.9 + 26386.5i −1.32788 + 1.56330i
\(659\) −226.490 + 568.447i −0.0133882 + 0.0336017i −0.935519 0.353277i \(-0.885067\pi\)
0.922131 + 0.386878i \(0.126447\pi\)
\(660\) 17755.0 + 85035.4i 1.04714 + 5.01515i
\(661\) −9524.29 + 3209.11i −0.560442 + 0.188835i −0.585244 0.810858i \(-0.699001\pi\)
0.0248018 + 0.999692i \(0.492105\pi\)
\(662\) 32446.8 + 38199.3i 1.90495 + 2.24269i
\(663\) −6659.02 + 3909.06i −0.390068 + 0.228982i
\(664\) −15912.7 + 1730.62i −0.930021 + 0.101146i
\(665\) −6238.55 + 28342.0i −0.363790 + 1.65272i
\(666\) −10539.1 7483.71i −0.613185 0.435417i
\(667\) 220.013 232.265i 0.0127720 0.0134833i
\(668\) 59058.7 + 31310.9i 3.42073 + 1.81356i
\(669\) −26694.4 12702.7i −1.54270 0.734102i
\(670\) 50582.4 + 30434.4i 2.91667 + 1.75490i
\(671\) 20210.8 3313.40i 1.16279 0.190629i
\(672\) 54662.0 50667.5i 3.13785 2.90854i
\(673\) −23349.0 + 6482.83i −1.33735 + 0.371315i −0.861298 0.508100i \(-0.830348\pi\)
−0.476056 + 0.879415i \(0.657934\pi\)
\(674\) 31537.0 41486.3i 1.80232 2.37091i
\(675\) −14396.7 + 10224.0i −0.820931 + 0.582994i
\(676\) 12150.0 43760.4i 0.691284 2.48978i
\(677\) −9432.07 + 5000.56i −0.535456 + 0.283881i −0.714113 0.700031i \(-0.753170\pi\)
0.178657 + 0.983911i \(0.442825\pi\)
\(678\) 578.952 + 13349.5i 0.0327943 + 0.756171i
\(679\) 13367.6 724.771i 0.755526 0.0409634i
\(680\) −61900.3 116756.i −3.49083 6.58441i
\(681\) 6324.84 21859.4i 0.355901 1.23003i
\(682\) −1199.68 1578.15i −0.0673577 0.0886076i
\(683\) 11877.1 + 9028.73i 0.665394 + 0.505820i 0.882490 0.470331i \(-0.155865\pi\)
−0.217096 + 0.976150i \(0.569658\pi\)
\(684\) −17436.0 68519.3i −0.974680 3.83026i
\(685\) 3406.76 3227.05i 0.190023 0.179999i
\(686\) −6188.99 37751.2i −0.344456 2.10109i
\(687\) −9959.50 + 16154.4i −0.553098 + 0.897131i
\(688\) −23090.9 + 49910.3i −1.27956 + 2.76571i
\(689\) −3831.72 + 7227.38i −0.211868 + 0.399625i
\(690\) −19013.4 + 19642.0i −1.04903 + 1.08371i
\(691\) −7614.49 5162.75i −0.419202 0.284226i 0.333294 0.942823i \(-0.391840\pi\)
−0.752496 + 0.658597i \(0.771150\pi\)
\(692\) −52493.9 11554.8i −2.88370 0.634750i
\(693\) 19866.1 1726.39i 1.08896 0.0946324i
\(694\) 52536.5 31610.2i 2.87357 1.72897i
\(695\) −32002.0 + 27182.7i −1.74662 + 1.48360i
\(696\) −717.506 2208.18i −0.0390761 0.120260i
\(697\) 2250.88 495.455i 0.122321 0.0269250i
\(698\) 5178.70 + 2063.38i 0.280826 + 0.111891i
\(699\) −5507.02 + 6342.93i −0.297990 + 0.343221i
\(700\) 7521.62 45879.9i 0.406130 2.47728i
\(701\) −13576.7 20024.1i −0.731503 1.07889i −0.993502 0.113818i \(-0.963692\pi\)
0.261999 0.965068i \(-0.415618\pi\)
\(702\) 10902.7 3938.91i 0.586177 0.211773i
\(703\) 3130.14 9289.92i 0.167931 0.498401i
\(704\) 124437. + 13533.4i 6.66181 + 0.724516i
\(705\) −13056.8 29042.6i −0.697515 1.55150i
\(706\) 69.8313 1287.96i 0.00372257 0.0686588i
\(707\) −10763.6 −0.572569
\(708\) −52351.0 13670.3i −2.77891 0.725652i
\(709\) 3021.12 0.160029 0.0800145 0.996794i \(-0.474503\pi\)
0.0800145 + 0.996794i \(0.474503\pi\)
\(710\) −756.005 + 13943.7i −0.0399610 + 0.737038i
\(711\) −19265.7 + 8411.89i −1.01620 + 0.443700i
\(712\) 2159.47 + 234.857i 0.113665 + 0.0123618i
\(713\) 147.749 438.503i 0.00776050 0.0230324i
\(714\) −43417.9 + 16757.0i −2.27573 + 0.878314i
\(715\) −6061.96 8940.72i −0.317069 0.467642i
\(716\) −7482.44 + 45640.9i −0.390547 + 2.38223i
\(717\) −18843.1 16359.8i −0.981461 0.852118i
\(718\) 6206.76 + 2473.00i 0.322610 + 0.128540i
\(719\) −15551.4 + 3423.12i −0.806633 + 0.177553i −0.599100 0.800674i \(-0.704475\pi\)
−0.207534 + 0.978228i \(0.566544\pi\)
\(720\) 35782.9 + 114321.i 1.85215 + 5.91733i
\(721\) −7473.76 + 6348.27i −0.386043 + 0.327908i
\(722\) 29233.0 17588.9i 1.50684 0.906637i
\(723\) −7696.00 + 752.803i −0.395875 + 0.0387234i
\(724\) −82662.3 18195.3i −4.24326 0.934012i
\(725\) −558.429 378.624i −0.0286063 0.0193955i
\(726\) 16194.8 + 15676.6i 0.827887 + 0.801394i
\(727\) 10273.4 19377.7i 0.524098 0.988554i −0.470265 0.882525i \(-0.655842\pi\)
0.994363 0.106028i \(-0.0338135\pi\)
\(728\) −8353.82 + 18056.5i −0.425293 + 0.919255i
\(729\) −16171.4 11220.8i −0.821593 0.570074i
\(730\) −12724.1 77613.7i −0.645124 3.93508i
\(731\) 14266.5 13513.9i 0.721839 0.683762i
\(732\) 51438.4 13683.9i 2.59729 0.690944i
\(733\) −12211.8 9283.14i −0.615350 0.467777i 0.250475 0.968123i \(-0.419413\pi\)
−0.865826 + 0.500346i \(0.833206\pi\)
\(734\) −46070.3 60604.5i −2.31674 3.04762i
\(735\) 6682.74 + 1933.60i 0.335370 + 0.0970366i
\(736\) 24941.5 + 47044.7i 1.24912 + 2.35610i
\(737\) 30718.4 1665.51i 1.53532 0.0832425i
\(738\) −3458.30 + 112.497i −0.172495 + 0.00561119i
\(739\) −3857.94 + 2045.35i −0.192039 + 0.101812i −0.561653 0.827373i \(-0.689835\pi\)
0.369615 + 0.929185i \(0.379490\pi\)
\(740\) −8374.37 + 30161.8i −0.416011 + 1.49834i
\(741\) 5244.49 + 7056.25i 0.260002 + 0.349822i
\(742\) −29837.4 + 39250.4i −1.47623 + 1.94195i
\(743\) 31888.0 8853.65i 1.57450 0.437159i 0.632997 0.774154i \(-0.281825\pi\)
0.941506 + 0.336996i \(0.109411\pi\)
\(744\) −2282.90 2462.88i −0.112493 0.121362i
\(745\) −21206.8 + 3476.69i −1.04290 + 0.170974i
\(746\) 6182.85 + 3720.09i 0.303445 + 0.182577i
\(747\) −4657.31 2278.36i −0.228115 0.111594i
\(748\) −93346.2 49489.0i −4.56293 2.41911i
\(749\) −5389.61 + 5689.75i −0.262927 + 0.277568i
\(750\) 323.691 + 224.620i 0.0157593 + 0.0109359i
\(751\) −4613.94 + 20961.3i −0.224188 + 1.01850i 0.721245 + 0.692680i \(0.243570\pi\)
−0.945433 + 0.325816i \(0.894361\pi\)
\(752\) −107745. + 11718.0i −5.22483 + 0.568234i
\(753\) 7489.30 + 12757.9i 0.362450 + 0.617428i
\(754\) 286.751 + 337.589i 0.0138499 + 0.0163054i
\(755\) −18818.9 + 6340.83i −0.907140 + 0.305651i
\(756\) 50948.3 9491.78i 2.45102 0.456631i
\(757\) −936.410 + 2350.21i −0.0449596 + 0.112840i −0.949742 0.313035i \(-0.898654\pi\)
0.904782 + 0.425875i \(0.140034\pi\)
\(758\) 18300.4 21544.9i 0.876915 1.03238i
\(759\) −2456.80 + 14032.7i −0.117492 + 0.671088i
\(760\) −124539. + 84439.2i −5.94406 + 4.03017i
\(761\) 30092.7 11990.0i 1.43345 0.571140i 0.481244 0.876586i \(-0.340185\pi\)
0.952209 + 0.305446i \(0.0988057\pi\)
\(762\) 16506.0 + 5761.19i 0.784710 + 0.273892i
\(763\) 2126.70 19554.7i 0.100907 0.927820i
\(764\) 1207.25 558.534i 0.0571686 0.0264490i
\(765\) 3242.06 42682.1i 0.153225 2.01722i
\(766\) 17231.9i 0.812811i
\(767\) 6667.22 902.576i 0.313871 0.0424904i
\(768\) 118882. + 1286.79i 5.58568 + 0.0604599i
\(769\) 41135.6 + 2230.31i 1.92898 + 0.104586i 0.978508 0.206210i \(-0.0661131\pi\)
0.950476 + 0.310797i \(0.100596\pi\)
\(770\) −27337.1 59088.1i −1.27943 2.76544i
\(771\) 1130.63 9443.84i 0.0528128 0.441130i
\(772\) −42987.3 14484.1i −2.00408 0.675252i
\(773\) 1638.75 + 4112.96i 0.0762507 + 0.191375i 0.962161