Properties

Label 74.4.f.b.33.1
Level $74$
Weight $4$
Character 74.33
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 33.1
Character \(\chi\) \(=\) 74.33
Dual form 74.4.f.b.9.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.347296 - 1.96962i) q^{2} +(-1.62017 - 9.18845i) q^{3} +(-3.75877 - 1.36808i) q^{4} +(-9.08898 + 7.62656i) q^{5} -18.6604 q^{6} +(21.4230 - 17.9761i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-56.4309 + 20.5392i) q^{9} +O(q^{10})\) \(q+(0.347296 - 1.96962i) q^{2} +(-1.62017 - 9.18845i) q^{3} +(-3.75877 - 1.36808i) q^{4} +(-9.08898 + 7.62656i) q^{5} -18.6604 q^{6} +(21.4230 - 17.9761i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-56.4309 + 20.5392i) q^{9} +(11.8648 + 20.5505i) q^{10} +(-4.89440 + 8.47735i) q^{11} +(-6.48069 + 36.7538i) q^{12} +(20.4561 + 7.44543i) q^{13} +(-27.9658 - 48.4382i) q^{14} +(84.8020 + 71.1573i) q^{15} +(12.2567 + 10.2846i) q^{16} +(-51.5252 + 18.7536i) q^{17} +(20.8560 + 118.280i) q^{18} +(-28.0212 - 158.916i) q^{19} +(44.5971 - 16.2320i) q^{20} +(-199.881 - 167.720i) q^{21} +(14.9973 + 12.5842i) q^{22} +(-56.1041 - 97.1751i) q^{23} +(70.1401 + 25.5289i) q^{24} +(2.73913 - 15.5344i) q^{25} +(21.7690 - 37.7050i) q^{26} +(154.193 + 267.071i) q^{27} +(-105.117 + 38.2595i) q^{28} +(90.1306 - 156.111i) q^{29} +(169.604 - 142.315i) q^{30} +162.666 q^{31} +(24.5134 - 20.5692i) q^{32} +(85.8234 + 31.2372i) q^{33} +(19.0430 + 107.998i) q^{34} +(-57.6181 + 326.768i) q^{35} +240.210 q^{36} +(-151.194 - 166.714i) q^{37} -322.735 q^{38} +(35.2695 - 200.023i) q^{39} +(-16.4824 - 93.4766i) q^{40} +(296.959 + 108.084i) q^{41} +(-399.762 + 335.440i) q^{42} -183.318 q^{43} +(29.9946 - 25.1685i) q^{44} +(356.256 - 617.054i) q^{45} +(-210.882 + 76.7549i) q^{46} +(65.0662 + 112.698i) q^{47} +(74.6416 - 129.283i) q^{48} +(76.2464 - 432.415i) q^{49} +(-29.6454 - 10.7901i) q^{50} +(255.797 + 443.053i) q^{51} +(-66.7040 - 55.9713i) q^{52} +(560.763 + 470.536i) q^{53} +(579.577 - 210.949i) q^{54} +(-20.1679 - 114.378i) q^{55} +(38.8497 + 220.327i) q^{56} +(-1414.79 + 514.942i) q^{57} +(-276.176 - 231.739i) q^{58} +(-233.874 - 196.244i) q^{59} +(-221.402 - 383.480i) q^{60} +(-86.0666 - 31.3257i) q^{61} +(56.4932 - 320.389i) q^{62} +(-839.708 + 1454.42i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(-242.709 + 88.3387i) q^{65} +(91.3314 - 158.191i) q^{66} +(493.830 - 414.372i) q^{67} +219.328 q^{68} +(-801.990 + 672.950i) q^{69} +(623.597 + 226.971i) q^{70} +(-78.6673 - 446.144i) q^{71} +(83.4241 - 473.122i) q^{72} +1040.63 q^{73} +(-380.871 + 239.894i) q^{74} -147.175 q^{75} +(-112.085 + 635.664i) q^{76} +(47.5364 + 269.593i) q^{77} +(-381.720 - 138.935i) q^{78} +(-280.157 + 235.080i) q^{79} -189.837 q^{80} +(962.066 - 807.270i) q^{81} +(316.018 - 547.358i) q^{82} +(-536.011 + 195.092i) q^{83} +(521.853 + 903.875i) q^{84} +(325.286 - 563.412i) q^{85} +(-63.6658 + 361.067i) q^{86} +(-1580.44 - 575.234i) q^{87} +(-39.1552 - 67.8188i) q^{88} +(-146.358 - 122.809i) q^{89} +(-1091.63 - 915.989i) q^{90} +(572.072 - 208.217i) q^{91} +(77.9390 + 442.014i) q^{92} +(-263.546 - 1494.65i) q^{93} +(244.569 - 89.0157i) q^{94} +(1466.67 + 1230.68i) q^{95} +(-228.715 - 191.915i) q^{96} +(533.293 + 923.690i) q^{97} +(-825.211 - 300.352i) q^{98} +(102.078 - 578.911i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 6q^{3} - 6q^{5} - 36q^{6} - 75q^{7} - 120q^{8} - 48q^{9} + O(q^{10}) \) \( 30q + 6q^{3} - 6q^{5} - 36q^{6} - 75q^{7} - 120q^{8} - 48q^{9} + 54q^{10} - 21q^{11} + 24q^{12} - 159q^{13} + 6q^{14} - 69q^{15} - 171q^{17} + 192q^{18} - 45q^{19} - 24q^{20} + 579q^{21} + 42q^{22} + 459q^{23} + 48q^{24} - 204q^{25} + 264q^{26} + 435q^{27} + 96q^{28} + 273q^{29} - 138q^{30} - 258q^{31} - 318q^{33} - 558q^{34} - 753q^{35} + 1296q^{36} - 891q^{37} - 2556q^{38} - 504q^{39} + 96q^{40} + 648q^{41} + 1158q^{42} - 216q^{43} + 84q^{44} + 1731q^{45} - 6q^{46} + 48q^{47} + 144q^{48} + 1731q^{49} + 240q^{50} + 972q^{51} + 48q^{52} - 135q^{53} + 360q^{54} + 765q^{55} + 408q^{56} - 405q^{57} - 762q^{58} + 1836q^{59} + 108q^{60} - 684q^{61} - 204q^{62} - 3264q^{63} - 960q^{64} - 1350q^{65} + 252q^{66} + 1095q^{67} - 432q^{68} - 5823q^{69} - 1146q^{70} + 4179q^{71} + 768q^{72} - 2658q^{73} - 1692q^{74} - 10416q^{75} - 180q^{76} + 267q^{77} + 1530q^{78} + 4866q^{79} - 864q^{80} - 2076q^{81} + 1800q^{82} - 186q^{83} + 504q^{84} + 753q^{85} + 648q^{86} - 525q^{87} - 168q^{88} + 687q^{89} + 768q^{90} + 3990q^{91} + 132q^{92} + 3753q^{93} + 6210q^{94} + 9000q^{95} - 384q^{96} + 7428q^{97} - 1542q^{98} + 6324q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.347296 1.96962i 0.122788 0.696364i
\(3\) −1.62017 9.18845i −0.311802 1.76832i −0.589617 0.807683i \(-0.700721\pi\)
0.277815 0.960635i \(-0.410390\pi\)
\(4\) −3.75877 1.36808i −0.469846 0.171010i
\(5\) −9.08898 + 7.62656i −0.812943 + 0.682140i −0.951308 0.308241i \(-0.900260\pi\)
0.138365 + 0.990381i \(0.455815\pi\)
\(6\) −18.6604 −1.26968
\(7\) 21.4230 17.9761i 1.15674 0.970616i 0.156880 0.987618i \(-0.449856\pi\)
0.999855 + 0.0170015i \(0.00541201\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) −56.4309 + 20.5392i −2.09003 + 0.760710i
\(10\) 11.8648 + 20.5505i 0.375199 + 0.649863i
\(11\) −4.89440 + 8.47735i −0.134156 + 0.232365i −0.925275 0.379298i \(-0.876166\pi\)
0.791119 + 0.611663i \(0.209499\pi\)
\(12\) −6.48069 + 36.7538i −0.155901 + 0.884159i
\(13\) 20.4561 + 7.44543i 0.436424 + 0.158845i 0.550883 0.834583i \(-0.314291\pi\)
−0.114459 + 0.993428i \(0.536513\pi\)
\(14\) −27.9658 48.4382i −0.533869 0.924689i
\(15\) 84.8020 + 71.1573i 1.45972 + 1.22485i
\(16\) 12.2567 + 10.2846i 0.191511 + 0.160697i
\(17\) −51.5252 + 18.7536i −0.735100 + 0.267555i −0.682322 0.731052i \(-0.739030\pi\)
−0.0527780 + 0.998606i \(0.516808\pi\)
\(18\) 20.8560 + 118.280i 0.273101 + 1.54883i
\(19\) −28.0212 158.916i −0.338342 1.91883i −0.391358 0.920238i \(-0.627995\pi\)
0.0530165 0.998594i \(-0.483116\pi\)
\(20\) 44.5971 16.2320i 0.498611 0.181480i
\(21\) −199.881 167.720i −2.07703 1.74284i
\(22\) 14.9973 + 12.5842i 0.145338 + 0.121953i
\(23\) −56.1041 97.1751i −0.508631 0.880974i −0.999950 0.00999475i \(-0.996819\pi\)
0.491319 0.870980i \(-0.336515\pi\)
\(24\) 70.1401 + 25.5289i 0.596554 + 0.217128i
\(25\) 2.73913 15.5344i 0.0219130 0.124275i
\(26\) 21.7690 37.7050i 0.164202 0.284406i
\(27\) 154.193 + 267.071i 1.09906 + 1.90362i
\(28\) −105.117 + 38.2595i −0.709473 + 0.258227i
\(29\) 90.1306 156.111i 0.577132 0.999622i −0.418674 0.908136i \(-0.637505\pi\)
0.995806 0.0914855i \(-0.0291615\pi\)
\(30\) 169.604 142.315i 1.03218 0.866099i
\(31\) 162.666 0.942440 0.471220 0.882016i \(-0.343814\pi\)
0.471220 + 0.882016i \(0.343814\pi\)
\(32\) 24.5134 20.5692i 0.135419 0.113630i
\(33\) 85.8234 + 31.2372i 0.452725 + 0.164779i
\(34\) 19.0430 + 107.998i 0.0960541 + 0.544750i
\(35\) −57.6181 + 326.768i −0.278264 + 1.57811i
\(36\) 240.210 1.11208
\(37\) −151.194 166.714i −0.671786 0.740745i
\(38\) −322.735 −1.37775
\(39\) 35.2695 200.023i 0.144811 0.821265i
\(40\) −16.4824 93.4766i −0.0651526 0.369499i
\(41\) 296.959 + 108.084i 1.13115 + 0.411706i 0.838711 0.544577i \(-0.183310\pi\)
0.292442 + 0.956283i \(0.405532\pi\)
\(42\) −399.762 + 335.440i −1.46868 + 1.23237i
\(43\) −183.318 −0.650135 −0.325067 0.945691i \(-0.605387\pi\)
−0.325067 + 0.945691i \(0.605387\pi\)
\(44\) 29.9946 25.1685i 0.102770 0.0862339i
\(45\) 356.256 617.054i 1.18017 2.04411i
\(46\) −210.882 + 76.7549i −0.675933 + 0.246019i
\(47\) 65.0662 + 112.698i 0.201933 + 0.349759i 0.949151 0.314820i \(-0.101944\pi\)
−0.747218 + 0.664579i \(0.768611\pi\)
\(48\) 74.6416 129.283i 0.224450 0.388758i
\(49\) 76.2464 432.415i 0.222293 1.26068i
\(50\) −29.6454 10.7901i −0.0838500 0.0305189i
\(51\) 255.797 + 443.053i 0.702327 + 1.21647i
\(52\) −66.7040 55.9713i −0.177888 0.149266i
\(53\) 560.763 + 470.536i 1.45333 + 1.21949i 0.930102 + 0.367300i \(0.119718\pi\)
0.523231 + 0.852191i \(0.324727\pi\)
\(54\) 579.577 210.949i 1.46056 0.531602i
\(55\) −20.1679 114.378i −0.0494444 0.280413i
\(56\) 38.8497 + 220.327i 0.0927055 + 0.525759i
\(57\) −1414.79 + 514.942i −3.28761 + 1.19659i
\(58\) −276.176 231.739i −0.625236 0.524635i
\(59\) −233.874 196.244i −0.516065 0.433030i 0.347192 0.937794i \(-0.387135\pi\)
−0.863258 + 0.504764i \(0.831580\pi\)
\(60\) −221.402 383.480i −0.476382 0.825117i
\(61\) −86.0666 31.3257i −0.180651 0.0657515i 0.250111 0.968217i \(-0.419533\pi\)
−0.430762 + 0.902466i \(0.641755\pi\)
\(62\) 56.4932 320.389i 0.115720 0.656281i
\(63\) −839.708 + 1454.42i −1.67926 + 2.90856i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) −242.709 + 88.3387i −0.463143 + 0.168570i
\(66\) 91.3314 158.191i 0.170335 0.295029i
\(67\) 493.830 414.372i 0.900461 0.755576i −0.0698195 0.997560i \(-0.522242\pi\)
0.970280 + 0.241983i \(0.0777979\pi\)
\(68\) 219.328 0.391139
\(69\) −801.990 + 672.950i −1.39925 + 1.17411i
\(70\) 623.597 + 226.971i 1.06477 + 0.387546i
\(71\) −78.6673 446.144i −0.131494 0.745741i −0.977237 0.212150i \(-0.931953\pi\)
0.845743 0.533591i \(-0.179158\pi\)
\(72\) 83.4241 473.122i 0.136550 0.774416i
\(73\) 1040.63 1.66845 0.834227 0.551422i \(-0.185915\pi\)
0.834227 + 0.551422i \(0.185915\pi\)
\(74\) −380.871 + 239.894i −0.598316 + 0.376853i
\(75\) −147.175 −0.226590
\(76\) −112.085 + 635.664i −0.169171 + 0.959416i
\(77\) 47.5364 + 269.593i 0.0703543 + 0.398999i
\(78\) −381.720 138.935i −0.554118 0.201683i
\(79\) −280.157 + 235.080i −0.398989 + 0.334792i −0.820103 0.572216i \(-0.806084\pi\)
0.421114 + 0.907008i \(0.361639\pi\)
\(80\) −189.837 −0.265305
\(81\) 962.066 807.270i 1.31971 1.10737i
\(82\) 316.018 547.358i 0.425589 0.737142i
\(83\) −536.011 + 195.092i −0.708853 + 0.258001i −0.671186 0.741289i \(-0.734215\pi\)
−0.0376670 + 0.999290i \(0.511993\pi\)
\(84\) 521.853 + 903.875i 0.677843 + 1.17406i
\(85\) 325.286 563.412i 0.415085 0.718948i
\(86\) −63.6658 + 361.067i −0.0798286 + 0.452731i
\(87\) −1580.44 575.234i −1.94760 0.708868i
\(88\) −39.1552 67.8188i −0.0474313 0.0821535i
\(89\) −146.358 122.809i −0.174314 0.146266i 0.551457 0.834203i \(-0.314072\pi\)
−0.725770 + 0.687937i \(0.758517\pi\)
\(90\) −1091.63 915.989i −1.27854 1.07282i
\(91\) 572.072 208.217i 0.659005 0.239858i
\(92\) 77.9390 + 442.014i 0.0883228 + 0.500903i
\(93\) −263.546 1494.65i −0.293855 1.66653i
\(94\) 244.569 89.0157i 0.268355 0.0976731i
\(95\) 1466.67 + 1230.68i 1.58397 + 1.32910i
\(96\) −228.715 191.915i −0.243158 0.204033i
\(97\) 533.293 + 923.690i 0.558223 + 0.966871i 0.997645 + 0.0685901i \(0.0218501\pi\)
−0.439422 + 0.898281i \(0.644817\pi\)
\(98\) −825.211 300.352i −0.850601 0.309593i
\(99\) 102.078 578.911i 0.103628 0.587705i
\(100\) −31.5480 + 54.6428i −0.0315480 + 0.0546428i
\(101\) 188.402 + 326.322i 0.185611 + 0.321488i 0.943782 0.330568i \(-0.107240\pi\)
−0.758171 + 0.652056i \(0.773907\pi\)
\(102\) 961.481 349.950i 0.933341 0.339708i
\(103\) −40.3676 + 69.9187i −0.0386169 + 0.0668864i −0.884688 0.466184i \(-0.845629\pi\)
0.846071 + 0.533070i \(0.178962\pi\)
\(104\) −133.408 + 111.943i −0.125786 + 0.105547i
\(105\) 3095.84 2.87737
\(106\) 1121.53 941.071i 1.02766 0.862311i
\(107\) 28.9045 + 10.5204i 0.0261150 + 0.00950509i 0.355045 0.934849i \(-0.384466\pi\)
−0.328930 + 0.944354i \(0.606688\pi\)
\(108\) −214.203 1214.81i −0.190849 1.08236i
\(109\) 234.232 1328.40i 0.205829 1.16732i −0.690300 0.723523i \(-0.742521\pi\)
0.896129 0.443793i \(-0.146367\pi\)
\(110\) −232.285 −0.201341
\(111\) −1286.88 + 1659.34i −1.10041 + 1.41890i
\(112\) 447.453 0.377503
\(113\) 146.470 830.670i 0.121935 0.691530i −0.861146 0.508358i \(-0.830253\pi\)
0.983081 0.183172i \(-0.0586364\pi\)
\(114\) 522.886 + 2965.43i 0.429585 + 2.43630i
\(115\) 1251.04 + 455.342i 1.01444 + 0.369225i
\(116\) −552.352 + 463.479i −0.442109 + 0.370973i
\(117\) −1307.28 −1.03298
\(118\) −467.749 + 392.488i −0.364913 + 0.306199i
\(119\) −766.710 + 1327.98i −0.590623 + 1.02299i
\(120\) −832.200 + 302.896i −0.633076 + 0.230421i
\(121\) 617.590 + 1069.70i 0.464004 + 0.803679i
\(122\) −91.5902 + 158.639i −0.0679687 + 0.117725i
\(123\) 512.003 2903.71i 0.375331 2.12861i
\(124\) −611.423 222.540i −0.442802 0.161167i
\(125\) −647.973 1122.32i −0.463652 0.803069i
\(126\) 2573.02 + 2159.02i 1.81923 + 1.52651i
\(127\) 1315.07 + 1103.48i 0.918850 + 0.771007i 0.973782 0.227483i \(-0.0730497\pi\)
−0.0549317 + 0.998490i \(0.517494\pi\)
\(128\) −120.281 + 43.7786i −0.0830579 + 0.0302306i
\(129\) 297.007 + 1684.41i 0.202713 + 1.14964i
\(130\) 89.7015 + 508.722i 0.0605180 + 0.343215i
\(131\) 1974.44 718.639i 1.31685 0.479296i 0.414405 0.910092i \(-0.363990\pi\)
0.902449 + 0.430796i \(0.141767\pi\)
\(132\) −279.856 234.827i −0.184533 0.154841i
\(133\) −3456.98 2900.75i −2.25382 1.89118i
\(134\) −644.649 1116.56i −0.415591 0.719824i
\(135\) −3438.29 1251.44i −2.19201 0.797825i
\(136\) 76.1718 431.992i 0.0480270 0.272375i
\(137\) −358.286 + 620.569i −0.223434 + 0.386998i −0.955848 0.293860i \(-0.905060\pi\)
0.732415 + 0.680859i \(0.238393\pi\)
\(138\) 1046.92 + 1813.33i 0.645798 + 1.11855i
\(139\) 907.911 330.453i 0.554014 0.201645i −0.0498148 0.998758i \(-0.515863\pi\)
0.603829 + 0.797114i \(0.293641\pi\)
\(140\) 663.618 1149.42i 0.400614 0.693884i
\(141\) 930.100 780.447i 0.555522 0.466138i
\(142\) −906.053 −0.535453
\(143\) −163.238 + 136.973i −0.0954591 + 0.0800997i
\(144\) −902.895 328.627i −0.522509 0.190178i
\(145\) 371.393 + 2106.27i 0.212707 + 1.20632i
\(146\) 361.409 2049.65i 0.204866 1.16185i
\(147\) −4096.75 −2.29860
\(148\) 340.224 + 833.484i 0.188961 + 0.462919i
\(149\) −2980.45 −1.63871 −0.819356 0.573285i \(-0.805669\pi\)
−0.819356 + 0.573285i \(0.805669\pi\)
\(150\) −51.1132 + 289.877i −0.0278225 + 0.157789i
\(151\) 21.6499 + 122.782i 0.0116678 + 0.0661715i 0.990086 0.140464i \(-0.0448596\pi\)
−0.978418 + 0.206636i \(0.933748\pi\)
\(152\) 1213.09 + 441.527i 0.647331 + 0.235609i
\(153\) 2522.43 2116.57i 1.33285 1.11840i
\(154\) 547.503 0.286487
\(155\) −1478.47 + 1240.58i −0.766150 + 0.642876i
\(156\) −406.218 + 703.590i −0.208484 + 0.361104i
\(157\) −752.343 + 273.830i −0.382443 + 0.139198i −0.526085 0.850432i \(-0.676341\pi\)
0.143642 + 0.989630i \(0.454118\pi\)
\(158\) 365.719 + 633.444i 0.184146 + 0.318950i
\(159\) 3414.96 5914.89i 1.70330 2.95019i
\(160\) −65.9298 + 373.906i −0.0325763 + 0.184749i
\(161\) −2948.75 1073.26i −1.44344 0.525369i
\(162\) −1255.89 2175.26i −0.609086 1.05497i
\(163\) −2045.09 1716.04i −0.982724 0.824603i 0.00177429 0.999998i \(-0.499435\pi\)
−0.984498 + 0.175395i \(0.943880\pi\)
\(164\) −968.334 812.529i −0.461062 0.386877i
\(165\) −1018.28 + 370.623i −0.480442 + 0.174867i
\(166\) 198.101 + 1123.49i 0.0926244 + 0.525299i
\(167\) 585.724 + 3321.81i 0.271405 + 1.53922i 0.750153 + 0.661264i \(0.229980\pi\)
−0.478748 + 0.877953i \(0.658909\pi\)
\(168\) 1961.52 713.936i 0.900803 0.327865i
\(169\) −1319.98 1107.59i −0.600810 0.504140i
\(170\) −996.734 836.359i −0.449682 0.377328i
\(171\) 4845.26 + 8392.24i 2.16682 + 3.75304i
\(172\) 689.052 + 250.794i 0.305463 + 0.111180i
\(173\) −339.868 + 1927.49i −0.149362 + 0.847077i 0.814398 + 0.580307i \(0.197067\pi\)
−0.963760 + 0.266770i \(0.914044\pi\)
\(174\) −1681.87 + 2913.09i −0.732772 + 1.26920i
\(175\) −220.566 382.032i −0.0952757 0.165022i
\(176\) −147.175 + 53.5675i −0.0630327 + 0.0229420i
\(177\) −1424.26 + 2466.89i −0.604825 + 1.04759i
\(178\) −292.716 + 245.618i −0.123258 + 0.103426i
\(179\) 2401.06 1.00259 0.501295 0.865277i \(-0.332857\pi\)
0.501295 + 0.865277i \(0.332857\pi\)
\(180\) −2183.27 + 1831.98i −0.904061 + 0.758597i
\(181\) −835.514 304.102i −0.343112 0.124883i 0.164716 0.986341i \(-0.447329\pi\)
−0.507828 + 0.861458i \(0.669551\pi\)
\(182\) −211.429 1199.08i −0.0861109 0.488359i
\(183\) −148.392 + 841.572i −0.0599423 + 0.339950i
\(184\) 897.665 0.359656
\(185\) 2645.65 + 362.171i 1.05142 + 0.143932i
\(186\) −3035.41 −1.19660
\(187\) 93.2038 528.585i 0.0364478 0.206706i
\(188\) −90.3890 512.621i −0.0350654 0.198866i
\(189\) 8104.17 + 2949.68i 3.11900 + 1.13522i
\(190\) 2933.33 2461.36i 1.12003 0.939819i
\(191\) −916.149 −0.347069 −0.173535 0.984828i \(-0.555519\pi\)
−0.173535 + 0.984828i \(0.555519\pi\)
\(192\) −457.430 + 383.829i −0.171938 + 0.144273i
\(193\) 1197.00 2073.26i 0.446434 0.773246i −0.551717 0.834031i \(-0.686027\pi\)
0.998151 + 0.0607852i \(0.0193605\pi\)
\(194\) 2004.52 729.587i 0.741837 0.270007i
\(195\) 1204.92 + 2086.99i 0.442495 + 0.766423i
\(196\) −878.171 + 1521.04i −0.320033 + 0.554314i
\(197\) 219.968 1247.50i 0.0795537 0.451172i −0.918846 0.394617i \(-0.870877\pi\)
0.998399 0.0565548i \(-0.0180116\pi\)
\(198\) −1104.78 402.108i −0.396532 0.144326i
\(199\) 1217.65 + 2109.04i 0.433755 + 0.751285i 0.997193 0.0748729i \(-0.0238551\pi\)
−0.563438 + 0.826158i \(0.690522\pi\)
\(200\) 96.6687 + 81.1147i 0.0341776 + 0.0286784i
\(201\) −4607.53 3866.17i −1.61686 1.35671i
\(202\) 708.161 257.749i 0.246663 0.0897781i
\(203\) −875.386 4964.56i −0.302660 1.71647i
\(204\) −355.349 2015.28i −0.121958 0.691657i
\(205\) −3523.37 + 1282.40i −1.20040 + 0.436911i
\(206\) 123.694 + 103.791i 0.0418356 + 0.0351042i
\(207\) 5161.90 + 4331.35i 1.73322 + 1.45435i
\(208\) 174.152 + 301.640i 0.0580541 + 0.100553i
\(209\) 1484.33 + 540.253i 0.491260 + 0.178804i
\(210\) 1075.18 6097.62i 0.353305 2.00369i
\(211\) −253.034 + 438.268i −0.0825572 + 0.142993i −0.904348 0.426797i \(-0.859642\pi\)
0.821790 + 0.569790i \(0.192975\pi\)
\(212\) −1464.05 2535.80i −0.474298 0.821508i
\(213\) −3971.92 + 1445.66i −1.27771 + 0.465047i
\(214\) 30.7596 53.2771i 0.00982561 0.0170185i
\(215\) 1666.18 1398.09i 0.528523 0.443483i
\(216\) −2467.09 −0.777150
\(217\) 3484.79 2924.09i 1.09015 0.914747i
\(218\) −2535.09 922.696i −0.787604 0.286664i
\(219\) −1686.01 9561.82i −0.520227 2.95036i
\(220\) −80.6716 + 457.511i −0.0247222 + 0.140206i
\(221\) −1193.64 −0.363315
\(222\) 2821.33 + 3110.94i 0.852952 + 0.940509i
\(223\) −2834.81 −0.851270 −0.425635 0.904895i \(-0.639949\pi\)
−0.425635 + 0.904895i \(0.639949\pi\)
\(224\) 155.399 881.310i 0.0463527 0.262879i
\(225\) 164.492 + 932.878i 0.0487382 + 0.276408i
\(226\) −1585.23 576.978i −0.466585 0.169823i
\(227\) −1247.01 + 1046.37i −0.364612 + 0.305946i −0.806626 0.591062i \(-0.798709\pi\)
0.442014 + 0.897008i \(0.354264\pi\)
\(228\) 6022.36 1.74930
\(229\) 2434.19 2042.53i 0.702427 0.589406i −0.220036 0.975492i \(-0.570618\pi\)
0.922463 + 0.386086i \(0.126173\pi\)
\(230\) 1331.33 2305.93i 0.381675 0.661081i
\(231\) 2400.12 873.572i 0.683620 0.248817i
\(232\) 721.045 + 1248.89i 0.204047 + 0.353420i
\(233\) −1532.41 + 2654.22i −0.430866 + 0.746281i −0.996948 0.0780673i \(-0.975125\pi\)
0.566082 + 0.824349i \(0.308458\pi\)
\(234\) −454.014 + 2574.84i −0.126837 + 0.719328i
\(235\) −1450.88 528.078i −0.402745 0.146587i
\(236\) 610.603 + 1057.60i 0.168419 + 0.291710i
\(237\) 2613.92 + 2193.34i 0.716424 + 0.601151i
\(238\) 2349.34 + 1971.33i 0.639852 + 0.536900i
\(239\) 2421.39 881.313i 0.655341 0.238525i 0.00711742 0.999975i \(-0.497734\pi\)
0.648224 + 0.761450i \(0.275512\pi\)
\(240\) 307.569 + 1744.31i 0.0827228 + 0.469144i
\(241\) 518.320 + 2939.54i 0.138539 + 0.785695i 0.972330 + 0.233613i \(0.0750550\pi\)
−0.833790 + 0.552081i \(0.813834\pi\)
\(242\) 2321.38 844.913i 0.616627 0.224434i
\(243\) −2597.85 2179.85i −0.685810 0.575463i
\(244\) 280.649 + 235.492i 0.0736340 + 0.0617862i
\(245\) 2604.84 + 4511.71i 0.679252 + 1.17650i
\(246\) −5541.38 2016.90i −1.43620 0.522734i
\(247\) 609.992 3459.44i 0.157137 0.891169i
\(248\) −650.663 + 1126.98i −0.166601 + 0.288562i
\(249\) 2661.02 + 4609.02i 0.677250 + 1.17303i
\(250\) −2435.58 + 886.480i −0.616159 + 0.224264i
\(251\) 1356.88 2350.19i 0.341218 0.591007i −0.643441 0.765496i \(-0.722494\pi\)
0.984659 + 0.174489i \(0.0558272\pi\)
\(252\) 5146.03 4318.03i 1.28639 1.07941i
\(253\) 1098.38 0.272944
\(254\) 2630.15 2206.96i 0.649725 0.545184i
\(255\) −5703.90 2076.05i −1.40075 0.509832i
\(256\) 44.4539 + 252.111i 0.0108530 + 0.0615505i
\(257\) −984.904 + 5585.67i −0.239053 + 1.35574i 0.594854 + 0.803833i \(0.297210\pi\)
−0.833908 + 0.551904i \(0.813901\pi\)
\(258\) 3420.79 0.825462
\(259\) −6235.88 853.650i −1.49606 0.204800i
\(260\) 1033.14 0.246433
\(261\) −1879.77 + 10660.7i −0.445803 + 2.52827i
\(262\) −729.725 4138.48i −0.172071 0.975862i
\(263\) −1231.10 448.083i −0.288642 0.105057i 0.193641 0.981072i \(-0.437970\pi\)
−0.482283 + 0.876015i \(0.660192\pi\)
\(264\) −559.711 + 469.653i −0.130484 + 0.109489i
\(265\) −8685.33 −2.01334
\(266\) −6913.96 + 5801.50i −1.59369 + 1.33727i
\(267\) −891.298 + 1543.77i −0.204294 + 0.353848i
\(268\) −2423.09 + 881.931i −0.552289 + 0.201017i
\(269\) 2186.32 + 3786.81i 0.495547 + 0.858313i 0.999987 0.00513428i \(-0.00163430\pi\)
−0.504440 + 0.863447i \(0.668301\pi\)
\(270\) −3658.95 + 6337.49i −0.824729 + 1.42847i
\(271\) −930.706 + 5278.29i −0.208621 + 1.18315i 0.683017 + 0.730402i \(0.260667\pi\)
−0.891639 + 0.452748i \(0.850444\pi\)
\(272\) −824.403 300.058i −0.183775 0.0668886i
\(273\) −2840.05 4919.11i −0.629625 1.09054i
\(274\) 1097.85 + 921.206i 0.242057 + 0.203110i
\(275\) 118.284 + 99.2519i 0.0259374 + 0.0217641i
\(276\) 3935.15 1432.28i 0.858217 0.312366i
\(277\) −706.412 4006.26i −0.153228 0.868999i −0.960388 0.278666i \(-0.910108\pi\)
0.807160 0.590333i \(-0.201003\pi\)
\(278\) −335.550 1903.00i −0.0723920 0.410555i
\(279\) −9179.38 + 3341.02i −1.96973 + 0.716924i
\(280\) −2033.44 1706.26i −0.434006 0.364174i
\(281\) 1506.52 + 1264.12i 0.319827 + 0.268367i 0.788540 0.614984i \(-0.210838\pi\)
−0.468713 + 0.883351i \(0.655282\pi\)
\(282\) −1214.16 2102.99i −0.256391 0.444082i
\(283\) 5302.35 + 1929.90i 1.11375 + 0.405373i 0.832369 0.554222i \(-0.186984\pi\)
0.281385 + 0.959595i \(0.409206\pi\)
\(284\) −314.669 + 1784.58i −0.0657471 + 0.372870i
\(285\) 8931.78 15470.3i 1.85640 3.21537i
\(286\) 213.092 + 369.086i 0.0440573 + 0.0763096i
\(287\) 8304.70 3022.66i 1.70805 0.621680i
\(288\) −960.841 + 1664.22i −0.196591 + 0.340505i
\(289\) −1460.43 + 1225.44i −0.297258 + 0.249429i
\(290\) 4277.53 0.866157
\(291\) 7623.25 6396.67i 1.53568 1.28859i
\(292\) −3911.51 1423.67i −0.783917 0.285322i
\(293\) −453.612 2572.56i −0.0904447 0.512937i −0.996048 0.0888124i \(-0.971693\pi\)
0.905604 0.424125i \(-0.139418\pi\)
\(294\) −1422.79 + 8069.03i −0.282240 + 1.60066i
\(295\) 3622.35 0.714919
\(296\) 1759.80 380.645i 0.345562 0.0747451i
\(297\) −3018.73 −0.589780
\(298\) −1035.10 + 5870.34i −0.201214 + 1.14114i
\(299\) −424.163 2405.55i −0.0820400 0.465272i
\(300\) 553.195 + 201.347i 0.106463 + 0.0387492i
\(301\) −3927.24 + 3295.34i −0.752034 + 0.631031i
\(302\) 249.353 0.0475121
\(303\) 2693.15 2259.82i 0.510619 0.428460i
\(304\) 1290.94 2235.97i 0.243554 0.421848i
\(305\) 1021.17 371.674i 0.191711 0.0697770i
\(306\) −3292.80 5703.30i −0.615153 1.06548i
\(307\) −4746.06 + 8220.42i −0.882320 + 1.52822i −0.0335643 + 0.999437i \(0.510686\pi\)
−0.848755 + 0.528786i \(0.822647\pi\)
\(308\) 190.146 1078.37i 0.0351771 0.199499i
\(309\) 707.847 + 257.635i 0.130317 + 0.0474316i
\(310\) 1930.00 + 3342.86i 0.353602 + 0.612457i
\(311\) −8224.95 6901.55i −1.49966 1.25836i −0.881383 0.472403i \(-0.843387\pi\)
−0.618277 0.785961i \(-0.712169\pi\)
\(312\) 1244.72 + 1044.45i 0.225861 + 0.189520i
\(313\) −814.218 + 296.351i −0.147036 + 0.0535168i −0.414490 0.910054i \(-0.636040\pi\)
0.267454 + 0.963571i \(0.413818\pi\)
\(314\) 278.055 + 1576.93i 0.0499730 + 0.283411i
\(315\) −3460.11 19623.3i −0.618905 3.50999i
\(316\) 1374.65 500.333i 0.244716 0.0890695i
\(317\) 305.717 + 256.527i 0.0541664 + 0.0454510i 0.669469 0.742840i \(-0.266522\pi\)
−0.615303 + 0.788291i \(0.710966\pi\)
\(318\) −10464.0 8780.38i −1.84527 1.54836i
\(319\) 882.270 + 1528.14i 0.154852 + 0.268211i
\(320\) 713.554 + 259.713i 0.124653 + 0.0453699i
\(321\) 49.8358 282.633i 0.00866530 0.0491434i
\(322\) −3137.99 + 5435.16i −0.543085 + 0.940650i
\(323\) 4424.05 + 7662.68i 0.762107 + 1.32001i
\(324\) −4720.60 + 1718.16i −0.809430 + 0.294608i
\(325\) 171.692 297.379i 0.0293039 0.0507558i
\(326\) −4090.18 + 3432.07i −0.694891 + 0.583083i
\(327\) −12585.4 −2.12836
\(328\) −1936.67 + 1625.06i −0.326020 + 0.273563i
\(329\) 3419.78 + 1244.70i 0.573065 + 0.208579i
\(330\) 376.341 + 2134.34i 0.0627784 + 0.356034i
\(331\) 75.7263 429.465i 0.0125749 0.0713158i −0.977875 0.209192i \(-0.932917\pi\)
0.990449 + 0.137876i \(0.0440277\pi\)
\(332\) 2281.64 0.377173
\(333\) 11956.2 + 6302.42i 1.96755 + 1.03715i
\(334\) 6746.10 1.10518
\(335\) −1328.17 + 7532.44i −0.216614 + 1.22848i
\(336\) −724.950 4111.40i −0.117706 0.667545i
\(337\) 4761.75 + 1733.14i 0.769700 + 0.280148i 0.696871 0.717196i \(-0.254575\pi\)
0.0728293 + 0.997344i \(0.476797\pi\)
\(338\) −2639.96 + 2215.19i −0.424837 + 0.356481i
\(339\) −7869.88 −1.26086
\(340\) −1993.47 + 1672.72i −0.317973 + 0.266811i
\(341\) −796.151 + 1378.97i −0.126434 + 0.218990i
\(342\) 18212.2 6628.71i 2.87955 1.04807i
\(343\) −1343.55 2327.10i −0.211501 0.366331i
\(344\) 733.274 1270.07i 0.114929 0.199062i
\(345\) 2156.98 12232.9i 0.336603 1.90897i
\(346\) 3678.38 + 1338.82i 0.571534 + 0.208021i
\(347\) −3021.11 5232.72i −0.467383 0.809531i 0.531923 0.846793i \(-0.321470\pi\)
−0.999306 + 0.0372621i \(0.988136\pi\)
\(348\) 5153.55 + 4324.35i 0.793849 + 0.666118i
\(349\) 3424.76 + 2873.71i 0.525281 + 0.440763i 0.866468 0.499232i \(-0.166385\pi\)
−0.341187 + 0.939995i \(0.610829\pi\)
\(350\) −829.058 + 301.753i −0.126614 + 0.0460839i
\(351\) 1165.75 + 6611.27i 0.177273 + 1.00537i
\(352\) 54.3938 + 308.483i 0.00823636 + 0.0467107i
\(353\) 3620.25 1317.66i 0.545854 0.198674i −0.0543497 0.998522i \(-0.517309\pi\)
0.600203 + 0.799848i \(0.295086\pi\)
\(354\) 4364.19 + 3661.99i 0.655237 + 0.549809i
\(355\) 4117.55 + 3455.04i 0.615597 + 0.516547i
\(356\) 382.113 + 661.840i 0.0568876 + 0.0985321i
\(357\) 13444.3 + 4893.32i 1.99313 + 0.725439i
\(358\) 833.879 4729.16i 0.123106 0.698168i
\(359\) 4202.19 7278.41i 0.617781 1.07003i −0.372109 0.928189i \(-0.621365\pi\)
0.989890 0.141839i \(-0.0453015\pi\)
\(360\) 2850.05 + 4936.43i 0.417252 + 0.722702i
\(361\) −18023.7 + 6560.10i −2.62775 + 0.956422i
\(362\) −889.136 + 1540.03i −0.129094 + 0.223597i
\(363\) 8828.25 7407.78i 1.27648 1.07110i
\(364\) −2435.15 −0.350649
\(365\) −9458.31 + 7936.46i −1.35636 + 1.13812i
\(366\) 1606.04 + 584.550i 0.229369 + 0.0834833i
\(367\) −231.099 1310.63i −0.0328699 0.186415i 0.963952 0.266076i \(-0.0857272\pi\)
−0.996822 + 0.0796613i \(0.974616\pi\)
\(368\) 311.756 1768.06i 0.0441614 0.250452i
\(369\) −18977.7 −2.67734
\(370\) 1632.16 5085.13i 0.229330 0.714496i
\(371\) 20471.6 2.86478
\(372\) −1054.19 + 5978.58i −0.146927 + 0.833266i
\(373\) −833.614 4727.66i −0.115718 0.656271i −0.986392 0.164410i \(-0.947428\pi\)
0.870674 0.491861i \(-0.163683\pi\)
\(374\) −1008.74 367.151i −0.139467 0.0507619i
\(375\) −9262.58 + 7772.23i −1.27551 + 1.07028i
\(376\) −1041.06 −0.142789
\(377\) 3006.04 2522.36i 0.410660 0.344584i
\(378\) 8624.27 14937.7i 1.17350 2.03257i
\(379\) 3688.79 1342.61i 0.499948 0.181966i −0.0797226 0.996817i \(-0.525403\pi\)
0.579671 + 0.814851i \(0.303181\pi\)
\(380\) −3829.19 6632.35i −0.516930 0.895349i
\(381\) 8008.61 13871.3i 1.07689 1.86522i
\(382\) −318.175 + 1804.46i −0.0426159 + 0.241687i
\(383\) 2905.72 + 1057.60i 0.387665 + 0.141098i 0.528497 0.848935i \(-0.322756\pi\)
−0.140833 + 0.990033i \(0.544978\pi\)
\(384\) 597.132 + 1034.26i 0.0793549 + 0.137447i
\(385\) −2488.12 2087.78i −0.329367 0.276372i
\(386\) −3667.81 3077.66i −0.483644 0.405826i
\(387\) 10344.8 3765.21i 1.35880 0.494564i
\(388\) −740.842 4201.53i −0.0969344 0.549743i
\(389\) −826.128 4685.20i −0.107677 0.610667i −0.990117 0.140242i \(-0.955212\pi\)
0.882440 0.470424i \(-0.155899\pi\)
\(390\) 4529.04 1648.43i 0.588043 0.214030i
\(391\) 4713.16 + 3954.81i 0.609603 + 0.511518i
\(392\) 2690.87 + 2257.91i 0.346708 + 0.290923i
\(393\) −9802.11 16977.8i −1.25815 2.17917i
\(394\) −2380.70 866.506i −0.304412 0.110797i
\(395\) 753.493 4273.27i 0.0959806 0.544333i
\(396\) −1175.68 + 2036.34i −0.149193 + 0.258410i
\(397\) 4316.17 + 7475.82i 0.545648 + 0.945090i 0.998566 + 0.0535375i \(0.0170497\pi\)
−0.452918 + 0.891552i \(0.649617\pi\)
\(398\) 4576.88 1665.85i 0.576428 0.209803i
\(399\) −21052.5 + 36464.0i −2.64146 + 4.57515i
\(400\) 193.337 162.229i 0.0241672 0.0202787i
\(401\) 3361.38 0.418602 0.209301 0.977851i \(-0.432881\pi\)
0.209301 + 0.977851i \(0.432881\pi\)
\(402\) −9215.05 + 7732.35i −1.14330 + 0.959339i
\(403\) 3327.51 + 1211.12i 0.411304 + 0.149702i
\(404\) −261.726 1484.32i −0.0322310 0.182791i
\(405\) −2587.51 + 14674.5i −0.317468 + 1.80045i
\(406\) −10082.3 −1.23245
\(407\) 2153.29 465.757i 0.262248 0.0567241i
\(408\) −4092.75 −0.496620
\(409\) 529.437 3002.59i 0.0640073 0.363003i −0.935934 0.352175i \(-0.885442\pi\)
0.999941 0.0108280i \(-0.00344674\pi\)
\(410\) 1302.18 + 7385.06i 0.156854 + 0.889566i
\(411\) 6282.55 + 2286.66i 0.754003 + 0.274435i
\(412\) 247.387 207.582i 0.0295822 0.0248224i
\(413\) −8538.00 −1.01726
\(414\) 10323.8 8662.70i 1.22557 1.02838i
\(415\) 3383.91 5861.10i 0.400264 0.693278i
\(416\) 654.597 238.254i 0.0771496 0.0280802i
\(417\) −4507.32 7806.90i −0.529315 0.916800i
\(418\) 1579.59 2735.94i 0.184834 0.320141i
\(419\) 740.702 4200.73i 0.0863620 0.489783i −0.910692 0.413085i \(-0.864451\pi\)
0.997054 0.0766979i \(-0.0244377\pi\)
\(420\) −11636.6 4235.36i −1.35192 0.492059i
\(421\) 2425.95 + 4201.87i 0.280840 + 0.486429i 0.971592 0.236663i \(-0.0760537\pi\)
−0.690752 + 0.723092i \(0.742720\pi\)
\(422\) 775.341 + 650.588i 0.0894384 + 0.0750477i
\(423\) −5986.47 5023.24i −0.688113 0.577396i
\(424\) −5503.02 + 2002.93i −0.630307 + 0.229413i
\(425\) 150.192 + 851.780i 0.0171421 + 0.0972174i
\(426\) 1467.96 + 8325.22i 0.166955 + 0.946851i
\(427\) −2406.92 + 876.048i −0.272785 + 0.0992855i
\(428\) −94.2528 79.0875i −0.0106446 0.00893186i
\(429\) 1523.04 + 1277.98i 0.171406 + 0.143827i
\(430\) −2175.04 3767.28i −0.243930 0.422499i
\(431\) −3229.00 1175.26i −0.360871 0.131346i 0.155220 0.987880i \(-0.450391\pi\)
−0.516091 + 0.856534i \(0.672614\pi\)
\(432\) −856.812 + 4859.22i −0.0954245 + 0.541179i
\(433\) 7508.81 13005.6i 0.833373 1.44344i −0.0619750 0.998078i \(-0.519740\pi\)
0.895348 0.445367i \(-0.146927\pi\)
\(434\) −4549.08 7879.23i −0.503140 0.871464i
\(435\) 18751.7 6825.05i 2.06684 0.752267i
\(436\) −2697.78 + 4672.70i −0.296331 + 0.513260i
\(437\) −13870.6 + 11638.8i −1.51835 + 1.27405i
\(438\) −19418.6 −2.11840
\(439\) −2164.89 + 1816.56i −0.235363 + 0.197493i −0.752839 0.658205i \(-0.771316\pi\)
0.517476 + 0.855698i \(0.326872\pi\)
\(440\) 873.105 + 317.784i 0.0945992 + 0.0344313i
\(441\) 4578.79 + 25967.6i 0.494416 + 2.80397i
\(442\) −414.546 + 2351.00i −0.0446107 + 0.253000i
\(443\) −166.451 −0.0178517 −0.00892587 0.999960i \(-0.502841\pi\)
−0.00892587 + 0.999960i \(0.502841\pi\)
\(444\) 7107.20 4476.52i 0.759669 0.478482i
\(445\) 2266.85 0.241481
\(446\) −984.520 + 5583.49i −0.104526 + 0.592794i
\(447\) 4828.84 + 27385.7i 0.510954 + 2.89776i
\(448\) −1681.87 612.151i −0.177368 0.0645568i
\(449\) 7247.70 6081.54i 0.761781 0.639211i −0.176808 0.984245i \(-0.556577\pi\)
0.938590 + 0.345035i \(0.112133\pi\)
\(450\) 1894.54 0.198465
\(451\) −2369.71 + 1988.42i −0.247417 + 0.207608i
\(452\) −1686.97 + 2921.92i −0.175549 + 0.304061i
\(453\) 1093.10 397.857i 0.113374 0.0412648i
\(454\) 1627.86 + 2819.53i 0.168280 + 0.291469i
\(455\) −3611.57 + 6255.43i −0.372117 + 0.644525i
\(456\) 2091.54 11861.7i 0.214793 1.21815i
\(457\) −3116.09 1134.16i −0.318959 0.116092i 0.177579 0.984107i \(-0.443174\pi\)
−0.496538 + 0.868015i \(0.665396\pi\)
\(458\) −3177.61 5503.78i −0.324192 0.561517i
\(459\) −12953.4 10869.2i −1.31724 1.10529i
\(460\) −4079.43 3423.05i −0.413488 0.346958i
\(461\) 3578.81 1302.58i 0.361566 0.131599i −0.154848 0.987938i \(-0.549489\pi\)
0.516414 + 0.856339i \(0.327267\pi\)
\(462\) −887.048 5030.70i −0.0893273 0.506600i
\(463\) −1124.42 6376.91i −0.112865 0.640087i −0.987785 0.155821i \(-0.950198\pi\)
0.874921 0.484266i \(-0.160913\pi\)
\(464\) 2710.24 986.447i 0.271163 0.0986954i
\(465\) 13794.4 + 11574.9i 1.37570 + 1.15435i
\(466\) 4695.59 + 3940.07i 0.466779 + 0.391674i
\(467\) −5683.64 9844.36i −0.563185 0.975466i −0.997216 0.0745677i \(-0.976242\pi\)
0.434030 0.900898i \(-0.357091\pi\)
\(468\) 4913.77 + 1788.47i 0.485340 + 0.176649i
\(469\) 3130.55 17754.2i 0.308220 1.74800i
\(470\) −1544.00 + 2674.28i −0.151530 + 0.262458i
\(471\) 3735.00 + 6469.21i 0.365392 + 0.632878i
\(472\) 2295.12 835.354i 0.223816 0.0814625i
\(473\) 897.233 1554.05i 0.0872195 0.151069i
\(474\) 5227.84 4386.68i 0.506588 0.425078i
\(475\) −2545.41 −0.245877
\(476\) 4698.67 3942.65i 0.452444 0.379645i
\(477\) −41308.8 15035.2i −3.96520 1.44321i
\(478\) −894.908 5075.28i −0.0856321 0.485644i
\(479\) −179.450 + 1017.71i −0.0171175 + 0.0970781i −0.992170 0.124898i \(-0.960140\pi\)
0.975052 + 0.221976i \(0.0712507\pi\)
\(480\) 3542.44 0.336853
\(481\) −1851.58 4536.02i −0.175520 0.429989i
\(482\) 5969.77 0.564141
\(483\) −5084.08 + 28833.3i −0.478952 + 2.71627i
\(484\) −857.947 4865.66i −0.0805735 0.456955i
\(485\) −11891.7 4328.21i −1.11335 0.405225i
\(486\) −5195.69 + 4359.70i −0.484941 + 0.406914i
\(487\) 3857.69 0.358950 0.179475 0.983763i \(-0.442560\pi\)
0.179475 + 0.983763i \(0.442560\pi\)
\(488\) 561.297 470.984i 0.0520671 0.0436895i
\(489\) −12454.3 + 21571.5i −1.15175 + 1.99488i
\(490\) 9790.98 3563.62i 0.902676 0.328547i
\(491\) −5998.96 10390.5i −0.551384 0.955024i −0.998175 0.0603863i \(-0.980767\pi\)
0.446791 0.894638i \(-0.352567\pi\)
\(492\) −5897.01 + 10213.9i −0.540361 + 0.935933i
\(493\) −1716.35 + 9733.92i −0.156796 + 0.889236i
\(494\) −6601.91 2402.90i −0.601284 0.218849i
\(495\) 3487.32 + 6040.22i 0.316653 + 0.548460i
\(496\) 1993.75 + 1672.95i 0.180488 + 0.151447i
\(497\) −9705.21 8143.64i −0.875932 0.734994i
\(498\) 10002.2 3640.49i 0.900016 0.327579i
\(499\) 982.939 + 5574.52i 0.0881811 + 0.500100i 0.996625 + 0.0820926i \(0.0261603\pi\)
−0.908444 + 0.418008i \(0.862729\pi\)
\(500\) 900.155 + 5105.03i 0.0805123 + 0.456608i
\(501\) 29573.3 10763.8i 2.63720 0.959862i
\(502\) −4157.73 3488.75i −0.369659 0.310180i
\(503\) −10389.0 8717.43i −0.920923 0.772746i 0.0532428 0.998582i \(-0.483044\pi\)
−0.974165 + 0.225836i \(0.927489\pi\)
\(504\) −6717.67 11635.3i −0.593708 1.02833i
\(505\) −4201.10 1529.08i −0.370191 0.134739i
\(506\) 381.464 2163.39i 0.0335141 0.190068i
\(507\) −8038.48 + 13923.1i −0.704145 + 1.21962i
\(508\) −3433.42 5946.85i −0.299868 0.519387i
\(509\) 243.077 88.4729i 0.0211674 0.00770431i −0.331415 0.943485i \(-0.607526\pi\)
0.352582 + 0.935781i \(0.385304\pi\)
\(510\) −6069.96 + 10513.5i −0.527024 + 0.912833i
\(511\) 22293.6 18706.5i 1.92996 1.61943i
\(512\) 512.000 0.0441942
\(513\) 38121.1 31987.4i 3.28087 2.75298i
\(514\) 10659.6 + 3879.77i 0.914734 + 0.332936i
\(515\) −166.339 943.356i −0.0142326 0.0807170i
\(516\) 1188.03 6737.65i 0.101357 0.574822i
\(517\) −1273.84 −0.108362
\(518\) −3847.06 + 11985.8i −0.326313 + 1.01665i
\(519\) 18261.3 1.54447
\(520\) 358.806 2034.89i 0.0302590 0.171607i
\(521\) −2062.41 11696.5i −0.173428 0.983556i −0.939943 0.341331i \(-0.889122\pi\)
0.766516 0.642226i \(-0.221989\pi\)
\(522\) 20344.6 + 7404.83i 1.70586 + 0.620882i
\(523\) −10972.8 + 9207.25i −0.917411 + 0.769799i −0.973514 0.228626i \(-0.926577\pi\)
0.0561035 + 0.998425i \(0.482132\pi\)
\(524\) −8404.64 −0.700684
\(525\) −3152.93 + 2645.62i −0.262105 + 0.219932i
\(526\) −1310.11 + 2269.17i −0.108600 + 0.188100i
\(527\) −8381.39 + 3050.58i −0.692788 + 0.252154i
\(528\) 730.651 + 1265.52i 0.0602225 + 0.104309i
\(529\) −211.833 + 366.905i −0.0174105 + 0.0301558i
\(530\) −3016.38 + 17106.8i −0.247214 + 1.40202i
\(531\) 17228.4 + 6270.64i 1.40801 + 0.512472i
\(532\) 9025.54 + 15632.7i 0.735539 + 1.27399i
\(533\) 5269.91 + 4421.98i 0.428265 + 0.359357i
\(534\) 2731.10 + 2291.66i 0.221322 + 0.185711i
\(535\) −342.947 + 124.823i −0.0277138 + 0.0100870i
\(536\) 895.537 + 5078.84i 0.0721666 + 0.409277i
\(537\) −3890.13 22062.0i −0.312610 1.77290i
\(538\) 8217.87 2991.06i 0.658545 0.239691i
\(539\) 3292.55 + 2762.78i 0.263117 + 0.220781i
\(540\) 11211.7 + 9407.72i 0.893470 + 0.749710i
\(541\) 8359.49 + 14479.1i 0.664330 + 1.15065i 0.979466 + 0.201607i \(0.0646164\pi\)
−0.315136 + 0.949046i \(0.602050\pi\)
\(542\) 10073.0 + 3666.27i 0.798287 + 0.290553i
\(543\) −1440.55 + 8169.78i −0.113849 + 0.645670i
\(544\) −877.312 + 1519.55i −0.0691442 + 0.119761i
\(545\) 8002.18 + 13860.2i 0.628946 + 1.08937i
\(546\) −10675.1 + 3885.42i −0.836725 + 0.304543i
\(547\) 6517.07 11287.9i 0.509415 0.882333i −0.490526 0.871427i \(-0.663195\pi\)
0.999941 0.0109058i \(-0.00347148\pi\)
\(548\) 2195.70 1842.41i 0.171160 0.143620i
\(549\) 5500.22 0.427584
\(550\) 236.568 198.504i 0.0183405 0.0153895i
\(551\) −27334.0 9948.78i −2.11337 0.769205i
\(552\) −1454.37 8248.15i −0.112142 0.635986i
\(553\) −1776.01 + 10072.2i −0.136571 + 0.774531i
\(554\) −8136.12 −0.623954
\(555\) −958.614 24896.2i −0.0733170 1.90412i
\(556\) −3864.71 −0.294785
\(557\) 2339.80 13269.6i 0.177990 1.00943i −0.756646 0.653825i \(-0.773163\pi\)
0.934636 0.355606i \(-0.115725\pi\)
\(558\) 3392.56 + 19240.2i 0.257381 + 1.45968i
\(559\) −3749.99 1364.88i −0.283735 0.103271i
\(560\) −4066.89 + 3412.52i −0.306888 + 0.257510i
\(561\) −5007.88 −0.376886
\(562\) 3013.04 2528.24i 0.226152 0.189764i
\(563\) −10098.4 + 17491.0i −0.755946 + 1.30934i 0.188957 + 0.981985i \(0.439489\pi\)
−0.944903 + 0.327352i \(0.893844\pi\)
\(564\) −4563.75 + 1661.07i −0.340724 + 0.124013i
\(565\) 5003.90 + 8667.01i 0.372594 + 0.645352i
\(566\) 5642.65 9773.35i 0.419043 0.725803i
\(567\) 6098.86 34588.3i 0.451725 2.56186i
\(568\) 3405.65 + 1239.55i 0.251581 + 0.0915678i
\(569\) 4636.37 + 8030.43i 0.341594 + 0.591658i 0.984729 0.174095i \(-0.0556999\pi\)
−0.643135 + 0.765753i \(0.722367\pi\)
\(570\) −27368.6 22964.9i −2.01113 1.68754i
\(571\) 15787.8 + 13247.6i 1.15709 + 0.970916i 0.999861 0.0166456i \(-0.00529870\pi\)
0.157231 + 0.987562i \(0.449743\pi\)
\(572\) 800.964 291.527i 0.0585489 0.0213101i
\(573\) 1484.32 + 8417.99i 0.108217 + 0.613729i
\(574\) −3069.29 17406.8i −0.223188 1.26576i
\(575\) −1663.23 + 605.366i −0.120629 + 0.0439052i
\(576\) 2944.19 + 2470.47i 0.212976 + 0.178708i
\(577\) 18210.6 + 15280.5i 1.31389 + 1.10249i 0.987562 + 0.157230i \(0.0502564\pi\)
0.326330 + 0.945256i \(0.394188\pi\)
\(578\) 1906.45 + 3302.07i 0.137194 + 0.237627i
\(579\) −20989.4 7639.51i −1.50654 0.548337i
\(580\) 1485.57 8425.10i 0.106353 0.603160i
\(581\) −7975.99 + 13814.8i −0.569535 + 0.986463i
\(582\) −9951.45 17236.4i −0.708764 1.22762i
\(583\) −6733.49 + 2450.79i −0.478341 + 0.174102i
\(584\) −4162.54 + 7209.73i −0.294944 + 0.510857i
\(585\) 11881.9 9970.07i 0.839751 0.704635i
\(586\) −5224.49 −0.368297
\(587\) −3801.77 + 3190.06i −0.267318 + 0.224307i −0.766587 0.642141i \(-0.778047\pi\)
0.499269 + 0.866447i \(0.333602\pi\)
\(588\) 15398.8 + 5604.69i 1.07999 + 0.393084i
\(589\) −4558.08 25850.2i −0.318867 1.80838i
\(590\) 1258.03 7134.63i 0.0877834 0.497844i
\(591\) −11819.0 −0.822620
\(592\) −138.552 3598.33i −0.00961899 0.249815i
\(593\) 14168.8 0.981186 0.490593 0.871389i \(-0.336780\pi\)
0.490593 + 0.871389i \(0.336780\pi\)
\(594\) −1048.40 + 5945.74i −0.0724178 + 0.410702i
\(595\) −3159.31 17917.4i −0.217679 1.23452i
\(596\) 11202.8 + 4077.50i 0.769943 + 0.280236i
\(597\) 17406.0 14605.4i 1.19327 1.00127i
\(598\) −4885.31 −0.334072
\(599\) 12597.8 10570.8i 0.859317 0.721052i −0.102504 0.994733i \(-0.532685\pi\)
0.961821 + 0.273680i \(0.0882410\pi\)
\(600\) 588.698 1019.66i 0.0400558 0.0693788i
\(601\) 24790.1 9022.87i 1.68255 0.612397i 0.688891 0.724865i \(-0.258098\pi\)
0.993655 + 0.112468i \(0.0358755\pi\)
\(602\) 5126.64 + 8879.61i 0.347087 + 0.601173i
\(603\) −19356.4 + 33526.3i −1.30722 + 2.26417i
\(604\) 86.5994 491.130i 0.00583391 0.0330857i
\(605\) −13771.4 5012.37i −0.925431 0.336829i
\(606\) −3515.66 6089.30i −0.235666 0.408186i
\(607\) −1883.35 1580.32i −0.125935 0.105672i 0.577645 0.816288i \(-0.303972\pi\)
−0.703580 + 0.710616i \(0.748416\pi\)
\(608\) −3955.67 3319.20i −0.263854 0.221400i
\(609\) −44198.3 + 16086.9i −2.94090 + 1.07040i
\(610\) −377.407 2140.38i −0.0250505 0.142068i
\(611\) 491.919 + 2789.81i 0.0325710 + 0.184720i
\(612\) −12376.9 + 4504.82i −0.817493 + 0.297543i
\(613\) −22052.0 18503.8i −1.45297 1.21919i −0.930376 0.366606i \(-0.880520\pi\)
−0.522595 0.852581i \(-0.675036\pi\)
\(614\) 14542.8 + 12202.8i 0.955861 + 0.802063i
\(615\) 17491.7 + 30296.6i 1.14689 + 1.98647i
\(616\) −2057.94 749.028i −0.134605 0.0489922i
\(617\) 2268.63 12866.0i 0.148025 0.839492i −0.816863 0.576831i \(-0.804289\pi\)
0.964888 0.262661i \(-0.0846000\pi\)
\(618\) 753.275 1304.71i 0.0490310 0.0849242i
\(619\) −718.222 1244.00i −0.0466362 0.0807762i 0.841765 0.539844i \(-0.181517\pi\)
−0.888401 + 0.459068i \(0.848183\pi\)
\(620\) 7254.43 2640.40i 0.469911 0.171034i
\(621\) 17301.7 29967.5i 1.11803 1.93648i
\(622\) −16449.9 + 13803.1i −1.06042 + 0.889797i
\(623\) −5343.05 −0.343603
\(624\) 2489.45 2088.89i 0.159708 0.134011i
\(625\) 16301.7 + 5933.34i 1.04331 + 0.379734i
\(626\) 300.923 + 1706.62i 0.0192129 + 0.108962i
\(627\) 2559.21 14514.0i 0.163006 0.924456i
\(628\) 3202.51 0.203494
\(629\) 10916.8 + 5754.53i 0.692020 + 0.364783i
\(630\) −39852.0 −2.52022
\(631\) 4335.98 24590.5i 0.273554 1.55140i −0.469964 0.882685i \(-0.655733\pi\)
0.743518 0.668716i \(-0.233156\pi\)
\(632\) −508.052 2881.30i −0.0319766 0.181348i
\(633\) 4436.96 + 1614.92i 0.278599 + 0.101402i
\(634\) 611.433 513.053i 0.0383014 0.0321387i
\(635\) −20368.4 −1.27291
\(636\) −20928.1 + 17560.8i −1.30480 + 1.09486i
\(637\) 4779.22 8277.85i 0.297268 0.514883i
\(638\) 3316.25 1207.02i 0.205786 0.0749001i
\(639\) 13602.7 + 23560.6i 0.842120 + 1.45859i
\(640\) 759.349 1315.23i 0.0468998 0.0812329i
\(641\) −2476.20 + 14043.2i −0.152581 + 0.865327i 0.808384 + 0.588656i \(0.200343\pi\)
−0.960965 + 0.276672i \(0.910769\pi\)
\(642\) −539.370 196.315i −0.0331577 0.0120684i
\(643\) 13326.0 + 23081.2i 0.817301 + 1.41561i 0.907664 + 0.419698i \(0.137864\pi\)
−0.0903625 + 0.995909i \(0.528803\pi\)
\(644\) 9615.36 + 8068.24i 0.588351 + 0.493685i
\(645\) −15545.8 13044.4i −0.949014 0.796317i
\(646\) 16629.0 6052.46i 1.01278 0.368623i
\(647\) −445.774 2528.11i −0.0270868 0.153617i 0.968265 0.249928i \(-0.0804069\pi\)
−0.995351 + 0.0963107i \(0.969296\pi\)
\(648\) 1744.66 + 9894.47i 0.105767 + 0.599833i
\(649\) 2808.30 1022.14i 0.169854 0.0618220i
\(650\) −526.095 441.446i −0.0317464 0.0266384i
\(651\) −32513.8 27282.3i −1.95748 1.64252i
\(652\) 5339.36 + 9248.04i 0.320714 + 0.555492i
\(653\) 5042.48 + 1835.31i 0.302186 + 0.109987i 0.488663 0.872473i \(-0.337485\pi\)
−0.186477 + 0.982459i \(0.559707\pi\)
\(654\) −4370.87 + 24788.4i −0.261337 + 1.48212i
\(655\) −12464.9 + 21589.9i −0.743581 + 1.28792i
\(656\) 2528.14 + 4378.87i 0.150468 + 0.260619i
\(657\) −58724.0 + 21373.8i −3.48712 + 1.26921i
\(658\) 3639.25 6303.37i 0.215612 0.373451i
\(659\) −5631.56 + 4725.44i −0.332890 + 0.279328i −0.793876 0.608080i \(-0.791940\pi\)
0.460986 + 0.887407i \(0.347496\pi\)
\(660\) 4334.52 0.255638
\(661\) −7891.58 + 6621.83i −0.464368 + 0.389651i −0.844735 0.535185i \(-0.820242\pi\)
0.380367 + 0.924835i \(0.375798\pi\)
\(662\) −819.582 298.303i −0.0481177 0.0175134i
\(663\) 1933.90 + 10967.7i 0.113282 + 0.642457i
\(664\) 792.406 4493.96i 0.0463122 0.262650i
\(665\) 53543.2 3.12228
\(666\) 16565.7 21360.2i 0.963824 1.24278i
\(667\) −20226.8 −1.17419
\(668\) 2342.90 13287.2i 0.135703 0.769608i
\(669\) 4592.88 + 26047.5i 0.265428 + 1.50532i
\(670\) 14374.7 + 5231.98i 0.828873 + 0.301685i
\(671\) 686.803 576.296i 0.0395138 0.0331560i
\(672\) −8349.64 −0.479307
\(673\) −24665.4 + 20696.8i −1.41275 + 1.18544i −0.457663 + 0.889126i \(0.651313\pi\)
−0.955090 + 0.296315i \(0.904242\pi\)
\(674\) 5067.35 8776.90i 0.289595 0.501593i
\(675\) 4571.13 1663.75i 0.260656 0.0948710i
\(676\) 3446.22 + 5969.03i 0.196076 + 0.339613i
\(677\) 2105.01 3645.99i 0.119501 0.206982i −0.800069 0.599908i \(-0.795204\pi\)
0.919570 + 0.392926i \(0.128537\pi\)
\(678\) −2733.18 + 15500.6i −0.154819 + 0.878021i
\(679\) 28029.1 + 10201.7i 1.58418 + 0.576593i
\(680\) 2602.29 + 4507.29i 0.146755 + 0.254187i
\(681\) 11634.8 + 9762.80i 0.654697 + 0.549356i
\(682\) 2439.55 + 2047.02i 0.136972 + 0.114933i
\(683\) 5141.02 1871.18i 0.288017 0.104830i −0.193972 0.981007i \(-0.562137\pi\)
0.481988 + 0.876178i \(0.339915\pi\)
\(684\) −6730.97 38173.2i −0.376265 2.13390i
\(685\) −1476.36 8372.83i −0.0823484 0.467021i
\(686\) −5050.10 + 1838.09i −0.281070 + 0.102301i
\(687\) −22711.5 19057.2i −1.26128 1.05834i
\(688\) −2246.88 1885.36i −0.124508 0.104475i
\(689\) 7967.70 + 13800.5i 0.440559 + 0.763071i
\(690\) −23344.9 8496.85i −1.28801 0.468796i
\(691\) −1469.55 + 8334.23i −0.0809035 + 0.458827i 0.917262 + 0.398284i \(0.130394\pi\)
−0.998166 + 0.0605426i \(0.980717\pi\)
\(692\) 3914.45 6780.02i 0.215036 0.372453i
\(693\) −8219.73 14237.0i −0.450565 0.780402i
\(694\) −11355.7 + 4133.13i −0.621117 + 0.226068i
\(695\) −5731.77 + 9927.72i −0.312832 + 0.541841i
\(696\) 10307.1 8648.69i 0.561336 0.471017i
\(697\) −17327.9 −0.941664
\(698\) 6849.51 5747.42i 0.371430 0.311666i
\(699\) 26870.9 + 9780.21i 1.45401 + 0.529216i
\(700\) 306.408 + 1737.72i 0.0165445 + 0.0938282i
\(701\) −3843.19 + 21795.8i −0.207069 + 1.17435i 0.687082 + 0.726580i \(0.258891\pi\)
−0.894151 + 0.447766i \(0.852220\pi\)
\(702\) 13426.5 0.721868
\(703\) −22256.9 + 28698.6i −1.19407 + 1.53967i
\(704\) 626.483 0.0335390
\(705\) −2501.54 + 14186.9i −0.133636 + 0.757888i
\(706\) −1337.99 7588.11i −0.0713256 0.404508i
\(707\) 9902.13 + 3604.08i 0.526744 + 0.191719i
\(708\) 8728.38 7323.98i 0.463323 0.388774i
\(709\) −20794.7 −1.10150 −0.550748 0.834671i \(-0.685658\pi\)
−0.550748 + 0.834671i \(0.685658\pi\)
\(710\) 8235.10 6910.07i 0.435293 0.365254i
\(711\) 10981.2 19020.0i 0.579222 1.00324i
\(712\) 1436.28 522.762i 0.0755994 0.0275159i
\(713\) −9126.21 15807.1i −0.479354 0.830265i
\(714\) 14307.1 24780.6i 0.749902 1.29887i
\(715\) 439.035 2489.89i 0.0229636 0.130233i
\(716\) −9025.03 3284.84i −0.471063 0.171453i
\(717\) −12021.0 20820.9i −0.626124 1.08448i
\(718\) −12876.3 10804.5i −0.669273 0.561587i
\(719\) −11820.3 9918.41i −0.613106 0.514457i 0.282522 0.959261i \(-0.408829\pi\)
−0.895628 + 0.444804i \(0.853273\pi\)
\(720\) 10712.7 3899.10i 0.554498 0.201821i
\(721\) 392.067 + 2223.52i 0.0202515 + 0.114852i
\(722\) 6661.30 + 37778.1i 0.343363 + 1.94731i
\(723\) 26170.0 9525.12i 1.34616 0.489963i
\(724\) 2724.47 + 2286.10i 0.139854 + 0.117351i
\(725\) −2178.20 1827.73i −0.111581 0.0936278i
\(726\) −11524.5 19961.0i −0.589136 1.02041i
\(727\) 15129.2 + 5506.57i 0.771816 + 0.280918i 0.697756 0.716336i \(-0.254182\pi\)
0.0740600 + 0.997254i \(0.476404\pi\)
\(728\) −845.718 + 4796.30i −0.0430555 + 0.244180i
\(729\) 1134.00 1964.14i 0.0576131 0.0997888i
\(730\) 12346.9 + 21385.5i 0.626001 + 1.08427i
\(731\) 9445.52 3437.89i 0.477914 0.173947i
\(732\) 1709.11 2960.26i 0.0862985 0.149473i
\(733\) 8562.42 7184.72i 0.431460 0.362038i −0.401042 0.916059i \(-0.631352\pi\)
0.832502 + 0.554022i \(0.186908\pi\)
\(734\) −2661.69 −0.133849
\(735\) 37235.3 31244.1i 1.86863 1.56797i
\(736\) −3374.12 1228.08i −0.168983 0.0615048i
\(737\) 1095.78 + 6214.47i 0.0547673 + 0.310601i
\(738\) −6590.87 + 37378.7i −0.328744 + 1.86440i
\(739\) 2940.57 0.146374 0.0731871 0.997318i \(-0.476683\pi\)
0.0731871 + 0.997318i \(0.476683\pi\)
\(740\) −9448.91 4980.78i −0.469390 0.247428i
\(741\) −32775.1 −1.62487
\(742\) 7109.72 40321.2i 0.351760 1.99493i
\(743\) 5740.07 + 32553.6i 0.283422 + 1.60737i 0.710867 + 0.703327i \(0.248303\pi\)
−0.427444 + 0.904042i \(0.640586\pi\)
\(744\) 11409.4 + 4152.68i 0.562216 + 0.204630i
\(745\) 27089.3 22730.6i 1.33218 1.11783i
\(746\) −9601.18 −0.471212
\(747\) 26240.5 22018.4i 1.28526 1.07846i
\(748\) −1073.48 + 1859.32i −0.0524736 + 0.0908870i
\(749\) 808.338 294.211i 0.0394340 0.0143528i
\(750\) 12091.4 + 20943.0i 0.588689 + 1.01964i
\(751\) 5608.70 9714.55i 0.272522 0.472023i −0.696985 0.717086i \(-0.745475\pi\)
0.969507 + 0.245063i \(0.0788088\pi\)
\(752\) −361.556 + 2050.48i −0.0175327 + 0.0994328i
\(753\) −23793.0 8659.94i −1.15148 0.419105i
\(754\) −3924.10 6796.74i −0.189532 0.328280i
\(755\) −1133.18 950.853i −0.0546235 0.0458346i
\(756\) −26426.3 22174.3i −1.27132 1.06676i
\(757\) −3350.26 + 1219.40i −0.160855 + 0.0585465i −0.421193 0.906971i \(-0.638388\pi\)
0.260337 + 0.965518i \(0.416166\pi\)
\(758\) −1363.32 7731.78i −0.0653272 0.370489i
\(759\) −1779.57 10092.4i −0.0851044 0.482651i
\(760\) −14393.1 + 5238.64i −0.686962 + 0.250034i
\(761\) −8642.53 7251.94i −0.411684 0.345444i 0.413305 0.910593i \(-0.364374\pi\)
−0.824989 + 0.565149i \(0.808819\pi\)
\(762\) −24539.8 20591.3i −1.16664 0.978931i
\(763\) −18861.4 32668.9i −0.894926 1.55006i
\(764\) 3443.59 + 1253.37i 0.163069 + 0.0593523i
\(765\) −6784.17 + 38474.9i −0.320630 + 1.81839i
\(766\) 3092.21 5355.86i 0.145856 0.252631i
\(767\) −3323.05 5755.69i −0.156439 0.270960i
\(768\) 2244.48 816.925i 0.105457 0.0383831i
\(769\) 6905.74 11961.1i 0.323833 0.560895i −0.657443 0.753504i \(-0.728362\pi\)
0.981275 + 0.192610i \(0.0616952\pi\)
\(770\) −4976.24 + 4175.56i −0.232898 + 0.195425i
\(771\) 52919.4