Properties

Label 43.4.g.a.9.8
Level 43
Weight 4
Character 43.9
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.8
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.8

$q$-expansion

\(f(q)\) \(=\) \(q+(2.22758 + 2.79329i) q^{2} +(1.24096 + 0.187044i) q^{3} +(-1.06022 + 4.64514i) q^{4} +(6.85374 + 4.67280i) q^{5} +(2.24186 + 3.88302i) q^{6} +(-6.94688 + 12.0324i) q^{7} +(10.4146 - 5.01540i) q^{8} +(-24.2955 - 7.49416i) q^{9} +O(q^{10})\) \(q+(2.22758 + 2.79329i) q^{2} +(1.24096 + 0.187044i) q^{3} +(-1.06022 + 4.64514i) q^{4} +(6.85374 + 4.67280i) q^{5} +(2.24186 + 3.88302i) q^{6} +(-6.94688 + 12.0324i) q^{7} +(10.4146 - 5.01540i) q^{8} +(-24.2955 - 7.49416i) q^{9} +(2.21473 + 29.5535i) q^{10} +(-7.71134 - 33.7856i) q^{11} +(-2.18454 + 5.56611i) q^{12} +(2.06949 - 27.6154i) q^{13} +(-49.0846 + 7.39832i) q^{14} +(7.63119 + 7.08071i) q^{15} +(71.5508 + 34.4570i) q^{16} +(35.8552 - 24.4457i) q^{17} +(-33.1867 - 84.5582i) q^{18} +(18.3000 - 5.64479i) q^{19} +(-28.9723 + 26.8823i) q^{20} +(-10.8714 + 13.6323i) q^{21} +(77.1955 - 96.8001i) q^{22} +(-41.5319 + 38.5360i) q^{23} +(13.8622 - 4.27592i) q^{24} +(-20.5289 - 52.3069i) q^{25} +(81.7480 - 55.7348i) q^{26} +(-59.2767 - 28.5461i) q^{27} +(-48.5267 - 45.0262i) q^{28} +(-191.270 + 28.8293i) q^{29} +(-2.77943 + 37.0890i) q^{30} +(-74.7398 + 190.434i) q^{31} +(42.5588 + 186.462i) q^{32} +(-3.25005 - 43.3689i) q^{33} +(148.154 + 45.6995i) q^{34} +(-103.837 + 50.0052i) q^{35} +(60.5700 - 104.910i) q^{36} +(-5.49285 - 9.51389i) q^{37} +(56.5321 + 38.5430i) q^{38} +(7.73347 - 33.8825i) q^{39} +(94.8149 + 14.2910i) q^{40} +(144.210 + 180.833i) q^{41} -62.2958 q^{42} +(272.832 + 71.2012i) q^{43} +165.114 q^{44} +(-131.496 - 164.891i) q^{45} +(-200.158 - 30.1689i) q^{46} +(-85.7448 + 375.673i) q^{47} +(82.3466 + 56.1430i) q^{48} +(74.9816 + 129.872i) q^{49} +(100.379 - 173.861i) q^{50} +(49.0673 - 23.6296i) q^{51} +(126.083 + 38.8915i) q^{52} +(0.792918 + 10.5808i) q^{53} +(-52.3056 - 229.166i) q^{54} +(105.022 - 267.591i) q^{55} +(-12.0018 + 160.153i) q^{56} +(23.7653 - 3.58205i) q^{57} +(-506.598 - 470.054i) q^{58} +(-548.319 - 264.056i) q^{59} +(-40.9816 + 27.9408i) q^{60} +(-131.130 - 334.115i) q^{61} +(-698.427 + 215.436i) q^{62} +(258.950 - 240.271i) q^{63} +(-29.9231 + 37.5224i) q^{64} +(143.225 - 179.599i) q^{65} +(113.902 - 105.686i) q^{66} +(267.570 - 82.5343i) q^{67} +(75.5390 + 192.470i) q^{68} +(-58.7473 + 40.0532i) q^{69} +(-370.984 - 178.657i) q^{70} +(405.497 + 376.246i) q^{71} +(-290.614 + 43.8030i) q^{72} +(74.9055 - 999.545i) q^{73} +(14.3394 - 36.5361i) q^{74} +(-15.6919 - 68.7505i) q^{75} +(6.81880 + 90.9905i) q^{76} +(460.090 + 141.919i) q^{77} +(111.871 - 53.8741i) q^{78} +(-430.776 + 746.125i) q^{79} +(329.380 + 570.502i) q^{80} +(498.973 + 340.194i) q^{81} +(-183.882 + 805.641i) q^{82} +(240.568 + 36.2597i) q^{83} +(-51.7977 - 64.9523i) q^{84} +359.972 q^{85} +(408.869 + 920.707i) q^{86} -242.751 q^{87} +(-249.759 - 313.188i) q^{88} +(1269.94 + 191.413i) q^{89} +(167.671 - 734.615i) q^{90} +(317.902 + 216.742i) q^{91} +(-134.972 - 233.778i) q^{92} +(-128.369 + 222.341i) q^{93} +(-1240.37 + 597.330i) q^{94} +(151.800 + 46.8241i) q^{95} +(17.9370 + 239.352i) q^{96} +(-378.404 - 1657.90i) q^{97} +(-195.743 + 498.745i) q^{98} +(-65.8440 + 878.627i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.22758 + 2.79329i 0.787568 + 0.987579i 0.999946 + 0.0103911i \(0.00330764\pi\)
−0.212378 + 0.977188i \(0.568121\pi\)
\(3\) 1.24096 + 0.187044i 0.238823 + 0.0359967i 0.267363 0.963596i \(-0.413848\pi\)
−0.0285402 + 0.999593i \(0.509086\pi\)
\(4\) −1.06022 + 4.64514i −0.132528 + 0.580642i
\(5\) 6.85374 + 4.67280i 0.613017 + 0.417948i 0.829633 0.558309i \(-0.188550\pi\)
−0.216616 + 0.976257i \(0.569502\pi\)
\(6\) 2.24186 + 3.88302i 0.152539 + 0.264206i
\(7\) −6.94688 + 12.0324i −0.375097 + 0.649686i −0.990341 0.138650i \(-0.955724\pi\)
0.615245 + 0.788336i \(0.289057\pi\)
\(8\) 10.4146 5.01540i 0.460264 0.221652i
\(9\) −24.2955 7.49416i −0.899832 0.277562i
\(10\) 2.21473 + 29.5535i 0.0700360 + 0.934565i
\(11\) −7.71134 33.7856i −0.211369 0.926067i −0.963638 0.267211i \(-0.913898\pi\)
0.752269 0.658856i \(-0.228959\pi\)
\(12\) −2.18454 + 5.56611i −0.0525518 + 0.133900i
\(13\) 2.06949 27.6154i 0.0441518 0.589165i −0.930624 0.365977i \(-0.880735\pi\)
0.974776 0.223187i \(-0.0716462\pi\)
\(14\) −49.0846 + 7.39832i −0.937030 + 0.141235i
\(15\) 7.63119 + 7.08071i 0.131358 + 0.121882i
\(16\) 71.5508 + 34.4570i 1.11798 + 0.538391i
\(17\) 35.8552 24.4457i 0.511539 0.348762i −0.279880 0.960035i \(-0.590295\pi\)
0.791420 + 0.611273i \(0.209342\pi\)
\(18\) −33.1867 84.5582i −0.434565 1.10725i
\(19\) 18.3000 5.64479i 0.220963 0.0681581i −0.182297 0.983244i \(-0.558353\pi\)
0.403260 + 0.915085i \(0.367877\pi\)
\(20\) −28.9723 + 26.8823i −0.323920 + 0.300554i
\(21\) −10.8714 + 13.6323i −0.112968 + 0.141658i
\(22\) 77.1955 96.8001i 0.748097 0.938084i
\(23\) −41.5319 + 38.5360i −0.376522 + 0.349361i −0.845620 0.533785i \(-0.820769\pi\)
0.469099 + 0.883146i \(0.344579\pi\)
\(24\) 13.8622 4.27592i 0.117900 0.0363674i
\(25\) −20.5289 52.3069i −0.164232 0.418455i
\(26\) 81.7480 55.7348i 0.616619 0.420404i
\(27\) −59.2767 28.5461i −0.422511 0.203471i
\(28\) −48.5267 45.0262i −0.327524 0.303898i
\(29\) −191.270 + 28.8293i −1.22476 + 0.184603i −0.729401 0.684087i \(-0.760201\pi\)
−0.495357 + 0.868689i \(0.664963\pi\)
\(30\) −2.77943 + 37.0890i −0.0169151 + 0.225716i
\(31\) −74.7398 + 190.434i −0.433022 + 1.10332i 0.533287 + 0.845934i \(0.320957\pi\)
−0.966308 + 0.257387i \(0.917139\pi\)
\(32\) 42.5588 + 186.462i 0.235106 + 1.03007i
\(33\) −3.25005 43.3689i −0.0171443 0.228774i
\(34\) 148.154 + 45.6995i 0.747301 + 0.230512i
\(35\) −103.837 + 50.0052i −0.501476 + 0.241498i
\(36\) 60.5700 104.910i 0.280417 0.485696i
\(37\) −5.49285 9.51389i −0.0244059 0.0422723i 0.853564 0.520987i \(-0.174436\pi\)
−0.877970 + 0.478715i \(0.841103\pi\)
\(38\) 56.5321 + 38.5430i 0.241335 + 0.164539i
\(39\) 7.73347 33.8825i 0.0317524 0.139117i
\(40\) 94.8149 + 14.2910i 0.374789 + 0.0564903i
\(41\) 144.210 + 180.833i 0.549312 + 0.688815i 0.976542 0.215328i \(-0.0690820\pi\)
−0.427230 + 0.904143i \(0.640511\pi\)
\(42\) −62.2958 −0.228868
\(43\) 272.832 + 71.2012i 0.967593 + 0.252514i
\(44\) 165.114 0.565726
\(45\) −131.496 164.891i −0.435606 0.546233i
\(46\) −200.158 30.1689i −0.641558 0.0966993i
\(47\) −85.7448 + 375.673i −0.266110 + 1.16590i 0.648387 + 0.761311i \(0.275444\pi\)
−0.914497 + 0.404593i \(0.867413\pi\)
\(48\) 82.3466 + 56.1430i 0.247619 + 0.168824i
\(49\) 74.9816 + 129.872i 0.218605 + 0.378635i
\(50\) 100.379 173.861i 0.283914 0.491753i
\(51\) 49.0673 23.6296i 0.134721 0.0648784i
\(52\) 126.083 + 38.8915i 0.336242 + 0.103717i
\(53\) 0.792918 + 10.5808i 0.00205501 + 0.0274223i 0.998137 0.0610119i \(-0.0194328\pi\)
−0.996082 + 0.0884342i \(0.971814\pi\)
\(54\) −52.3056 229.166i −0.131813 0.577510i
\(55\) 105.022 267.591i 0.257475 0.656036i
\(56\) −12.0018 + 160.153i −0.0286395 + 0.382168i
\(57\) 23.7653 3.58205i 0.0552245 0.00832375i
\(58\) −506.598 470.054i −1.14689 1.06416i
\(59\) −548.319 264.056i −1.20992 0.582665i −0.283429 0.958993i \(-0.591472\pi\)
−0.926486 + 0.376329i \(0.877186\pi\)
\(60\) −40.9816 + 27.9408i −0.0881784 + 0.0601190i
\(61\) −131.130 334.115i −0.275238 0.701295i −0.999925 0.0122174i \(-0.996111\pi\)
0.724687 0.689078i \(-0.241984\pi\)
\(62\) −698.427 + 215.436i −1.43065 + 0.441297i
\(63\) 258.950 240.271i 0.517852 0.480496i
\(64\) −29.9231 + 37.5224i −0.0584435 + 0.0732858i
\(65\) 143.225 179.599i 0.273306 0.342715i
\(66\) 113.902 105.686i 0.212430 0.197107i
\(67\) 267.570 82.5343i 0.487893 0.150495i −0.0410418 0.999157i \(-0.513068\pi\)
0.528935 + 0.848662i \(0.322592\pi\)
\(68\) 75.5390 + 192.470i 0.134712 + 0.343242i
\(69\) −58.7473 + 40.0532i −0.102498 + 0.0698818i
\(70\) −370.984 178.657i −0.633444 0.305051i
\(71\) 405.497 + 376.246i 0.677798 + 0.628904i 0.942020 0.335558i \(-0.108925\pi\)
−0.264222 + 0.964462i \(0.585115\pi\)
\(72\) −290.614 + 43.8030i −0.475682 + 0.0716976i
\(73\) 74.9055 999.545i 0.120096 1.60257i −0.533547 0.845770i \(-0.679141\pi\)
0.653643 0.756803i \(-0.273240\pi\)
\(74\) 14.3394 36.5361i 0.0225259 0.0573950i
\(75\) −15.6919 68.7505i −0.0241592 0.105848i
\(76\) 6.81880 + 90.9905i 0.0102917 + 0.137333i
\(77\) 460.090 + 141.919i 0.680937 + 0.210041i
\(78\) 111.871 53.8741i 0.162396 0.0782057i
\(79\) −430.776 + 746.125i −0.613494 + 1.06260i 0.377152 + 0.926151i \(0.376903\pi\)
−0.990647 + 0.136452i \(0.956430\pi\)
\(80\) 329.380 + 570.502i 0.460322 + 0.797301i
\(81\) 498.973 + 340.194i 0.684462 + 0.466658i
\(82\) −183.882 + 805.641i −0.247639 + 1.08498i
\(83\) 240.568 + 36.2597i 0.318141 + 0.0479521i 0.306172 0.951976i \(-0.400952\pi\)
0.0119695 + 0.999928i \(0.496190\pi\)
\(84\) −51.7977 64.9523i −0.0672809 0.0843676i
\(85\) 359.972 0.459347
\(86\) 408.869 + 920.707i 0.512668 + 1.15445i
\(87\) −242.751 −0.299145
\(88\) −249.759 313.188i −0.302550 0.379385i
\(89\) 1269.94 + 191.413i 1.51251 + 0.227974i 0.852279 0.523088i \(-0.175220\pi\)
0.660232 + 0.751062i \(0.270458\pi\)
\(90\) 167.671 734.615i 0.196379 0.860391i
\(91\) 317.902 + 216.742i 0.366211 + 0.249678i
\(92\) −134.972 233.778i −0.152954 0.264924i
\(93\) −128.369 + 222.341i −0.143131 + 0.247911i
\(94\) −1240.37 + 597.330i −1.36100 + 0.655424i
\(95\) 151.800 + 46.8241i 0.163941 + 0.0505690i
\(96\) 17.9370 + 239.352i 0.0190696 + 0.254466i
\(97\) −378.404 1657.90i −0.396094 1.73540i −0.642546 0.766247i \(-0.722122\pi\)
0.246452 0.969155i \(-0.420735\pi\)
\(98\) −195.743 + 498.745i −0.201766 + 0.514091i
\(99\) −65.8440 + 878.627i −0.0668441 + 0.891973i
\(100\) 264.738 39.9028i 0.264738 0.0399028i
\(101\) −505.622 469.149i −0.498132 0.462199i 0.390644 0.920542i \(-0.372253\pi\)
−0.888775 + 0.458343i \(0.848443\pi\)
\(102\) 175.305 + 84.4227i 0.170175 + 0.0819519i
\(103\) 217.063 147.991i 0.207649 0.141572i −0.455031 0.890476i \(-0.650372\pi\)
0.662679 + 0.748903i \(0.269419\pi\)
\(104\) −116.950 297.983i −0.110268 0.280958i
\(105\) −138.211 + 42.6323i −0.128457 + 0.0396237i
\(106\) −27.7889 + 25.7843i −0.0254632 + 0.0236264i
\(107\) −1097.43 + 1376.14i −0.991523 + 1.24333i −0.0216383 + 0.999766i \(0.506888\pi\)
−0.969885 + 0.243565i \(0.921683\pi\)
\(108\) 195.447 245.083i 0.174138 0.218362i
\(109\) 714.303 662.776i 0.627687 0.582408i −0.300840 0.953675i \(-0.597267\pi\)
0.928526 + 0.371267i \(0.121076\pi\)
\(110\) 981.405 302.723i 0.850667 0.262396i
\(111\) −5.03688 12.8338i −0.00430702 0.0109741i
\(112\) −911.655 + 621.556i −0.769136 + 0.524388i
\(113\) −2000.45 963.364i −1.66536 0.801997i −0.998378 0.0569257i \(-0.981870\pi\)
−0.666985 0.745071i \(-0.732416\pi\)
\(114\) 62.9448 + 58.4042i 0.0517133 + 0.0479830i
\(115\) −464.720 + 70.0452i −0.376829 + 0.0567978i
\(116\) 68.8726 919.041i 0.0551264 0.735611i
\(117\) −257.234 + 655.421i −0.203259 + 0.517895i
\(118\) −483.835 2119.82i −0.377463 1.65377i
\(119\) 45.0570 + 601.244i 0.0347090 + 0.463159i
\(120\) 114.988 + 35.4692i 0.0874745 + 0.0269823i
\(121\) 117.188 56.4347i 0.0880450 0.0424003i
\(122\) 641.178 1110.55i 0.475816 0.824137i
\(123\) 145.135 + 251.380i 0.106393 + 0.184278i
\(124\) −805.351 549.079i −0.583247 0.397651i
\(125\) 334.449 1465.32i 0.239312 1.04850i
\(126\) 1247.98 + 188.103i 0.882371 + 0.132996i
\(127\) 1576.27 + 1976.58i 1.10135 + 1.38105i 0.917331 + 0.398125i \(0.130339\pi\)
0.184017 + 0.982923i \(0.441090\pi\)
\(128\) 1358.59 0.938154
\(129\) 325.256 + 139.390i 0.221994 + 0.0951362i
\(130\) 820.717 0.553705
\(131\) −822.223 1031.03i −0.548381 0.687648i 0.427981 0.903788i \(-0.359225\pi\)
−0.976363 + 0.216139i \(0.930653\pi\)
\(132\) 204.900 + 30.8837i 0.135108 + 0.0203643i
\(133\) −59.2076 + 259.405i −0.0386011 + 0.169123i
\(134\) 826.575 + 563.549i 0.532875 + 0.363308i
\(135\) −272.877 472.636i −0.173966 0.301319i
\(136\) 250.813 434.420i 0.158140 0.273906i
\(137\) −1385.19 + 667.073i −0.863831 + 0.415999i −0.812693 0.582692i \(-0.801999\pi\)
−0.0511384 + 0.998692i \(0.516285\pi\)
\(138\) −242.745 74.8768i −0.149738 0.0461880i
\(139\) 98.8135 + 1318.58i 0.0602968 + 0.804605i 0.942600 + 0.333924i \(0.108373\pi\)
−0.882303 + 0.470681i \(0.844008\pi\)
\(140\) −122.191 535.353i −0.0737644 0.323183i
\(141\) −176.673 + 450.156i −0.105522 + 0.268865i
\(142\) −147.690 + 1970.79i −0.0872809 + 1.16468i
\(143\) −948.962 + 143.033i −0.554939 + 0.0836435i
\(144\) −1480.13 1373.36i −0.856559 0.794771i
\(145\) −1445.63 696.179i −0.827952 0.398721i
\(146\) 2958.88 2017.33i 1.67725 1.14353i
\(147\) 68.7572 + 175.191i 0.0385782 + 0.0982958i
\(148\) 50.0170 15.4282i 0.0277795 0.00856885i
\(149\) −601.485 + 558.096i −0.330708 + 0.306853i −0.827997 0.560733i \(-0.810520\pi\)
0.497288 + 0.867585i \(0.334329\pi\)
\(150\) 157.086 196.979i 0.0855066 0.107222i
\(151\) 1459.85 1830.59i 0.786760 0.986565i −0.213195 0.977010i \(-0.568387\pi\)
0.999954 0.00955560i \(-0.00304169\pi\)
\(152\) 162.276 150.570i 0.0865940 0.0803475i
\(153\) −1054.32 + 325.214i −0.557102 + 0.171843i
\(154\) 628.465 + 1601.30i 0.328852 + 0.837900i
\(155\) −1402.11 + 955.941i −0.726581 + 0.495374i
\(156\) 149.190 + 71.8460i 0.0765688 + 0.0368736i
\(157\) −133.242 123.630i −0.0677314 0.0628456i 0.645581 0.763692i \(-0.276615\pi\)
−0.713312 + 0.700846i \(0.752806\pi\)
\(158\) −3043.73 + 458.769i −1.53257 + 0.230998i
\(159\) −0.995094 + 13.2786i −0.000496327 + 0.00662303i
\(160\) −579.614 + 1476.83i −0.286391 + 0.729711i
\(161\) −175.161 767.432i −0.0857431 0.375665i
\(162\) 161.239 + 2151.58i 0.0781983 + 1.04348i
\(163\) 2650.42 + 817.547i 1.27360 + 0.392854i 0.856567 0.516037i \(-0.172593\pi\)
0.417035 + 0.908891i \(0.363069\pi\)
\(164\) −992.890 + 478.150i −0.472754 + 0.227666i
\(165\) 180.379 312.426i 0.0851061 0.147408i
\(166\) 434.599 + 752.748i 0.203201 + 0.351955i
\(167\) −3063.56 2088.70i −1.41955 0.967836i −0.998140 0.0609675i \(-0.980581\pi\)
−0.421414 0.906868i \(-0.638466\pi\)
\(168\) −44.8496 + 196.499i −0.0205966 + 0.0902394i
\(169\) 1414.13 + 213.146i 0.643665 + 0.0970169i
\(170\) 801.866 + 1005.51i 0.361767 + 0.453641i
\(171\) −486.909 −0.217748
\(172\) −620.002 + 1191.85i −0.274853 + 0.528360i
\(173\) 3335.00 1.46564 0.732820 0.680423i \(-0.238204\pi\)
0.732820 + 0.680423i \(0.238204\pi\)
\(174\) −540.746 678.074i −0.235597 0.295429i
\(175\) 771.987 + 116.358i 0.333467 + 0.0502621i
\(176\) 612.399 2683.10i 0.262280 1.14913i
\(177\) −631.051 430.243i −0.267981 0.182706i
\(178\) 2294.22 + 3973.70i 0.966062 + 1.67327i
\(179\) 253.359 438.831i 0.105793 0.183239i −0.808269 0.588814i \(-0.799595\pi\)
0.914062 + 0.405575i \(0.132929\pi\)
\(180\) 905.356 435.996i 0.374896 0.180540i
\(181\) 3479.88 + 1073.40i 1.42905 + 0.440803i 0.910237 0.414087i \(-0.135899\pi\)
0.518810 + 0.854889i \(0.326375\pi\)
\(182\) 102.728 + 1370.80i 0.0418389 + 0.558301i
\(183\) −100.233 439.150i −0.0404888 0.177393i
\(184\) −239.264 + 609.635i −0.0958630 + 0.244255i
\(185\) 6.80997 90.8727i 0.00270637 0.0361140i
\(186\) −907.015 + 136.711i −0.357557 + 0.0538930i
\(187\) −1102.40 1022.88i −0.431100 0.400003i
\(188\) −1654.14 796.593i −0.641706 0.309029i
\(189\) 755.266 514.931i 0.290675 0.198179i
\(190\) 207.353 + 528.327i 0.0791735 + 0.201731i
\(191\) −2114.32 + 652.180i −0.800976 + 0.247069i −0.668107 0.744065i \(-0.732895\pi\)
−0.132869 + 0.991134i \(0.542419\pi\)
\(192\) −44.1517 + 40.9668i −0.0165957 + 0.0153985i
\(193\) −1975.61 + 2477.33i −0.736826 + 0.923950i −0.999158 0.0410274i \(-0.986937\pi\)
0.262332 + 0.964978i \(0.415508\pi\)
\(194\) 3788.07 4750.09i 1.40189 1.75792i
\(195\) 211.329 196.085i 0.0776083 0.0720100i
\(196\) −682.770 + 210.607i −0.248823 + 0.0767517i
\(197\) −539.604 1374.89i −0.195153 0.497243i 0.799481 0.600691i \(-0.205108\pi\)
−0.994635 + 0.103448i \(0.967012\pi\)
\(198\) −2600.94 + 1773.29i −0.933538 + 0.636475i
\(199\) −794.510 382.616i −0.283022 0.136296i 0.286988 0.957934i \(-0.407346\pi\)
−0.570009 + 0.821638i \(0.693060\pi\)
\(200\) −476.141 441.794i −0.168341 0.156198i
\(201\) 347.481 52.3743i 0.121937 0.0183791i
\(202\) 184.158 2457.42i 0.0641451 0.855957i
\(203\) 981.847 2501.71i 0.339469 0.864952i
\(204\) 57.7403 + 252.977i 0.0198168 + 0.0868231i
\(205\) 143.378 + 1913.25i 0.0488486 + 0.651839i
\(206\) 896.905 + 276.659i 0.303351 + 0.0935715i
\(207\) 1297.83 625.003i 0.435776 0.209858i
\(208\) 1099.62 1904.60i 0.366562 0.634904i
\(209\) −331.830 574.746i −0.109824 0.190220i
\(210\) −426.959 291.096i −0.140300 0.0956549i
\(211\) 552.570 2420.97i 0.180287 0.789887i −0.801206 0.598388i \(-0.795808\pi\)
0.981493 0.191499i \(-0.0613349\pi\)
\(212\) −49.9897 7.53474i −0.0161949 0.00244098i
\(213\) 432.830 + 542.752i 0.139235 + 0.174595i
\(214\) −6288.58 −2.00878
\(215\) 1537.21 + 1762.89i 0.487614 + 0.559199i
\(216\) −760.513 −0.239566
\(217\) −1772.16 2222.22i −0.554388 0.695180i
\(218\) 3442.50 + 518.873i 1.06952 + 0.161204i
\(219\) 279.914 1226.38i 0.0863691 0.378408i
\(220\) 1131.65 + 771.547i 0.346800 + 0.236444i
\(221\) −600.876 1040.75i −0.182893 0.316779i
\(222\) 24.6284 42.6577i 0.00744573 0.0128964i
\(223\) −1782.79 + 858.546i −0.535356 + 0.257814i −0.681970 0.731380i \(-0.738877\pi\)
0.146614 + 0.989194i \(0.453162\pi\)
\(224\) −2539.23 783.249i −0.757408 0.233629i
\(225\) 106.764 + 1424.67i 0.0316338 + 0.422124i
\(226\) −1765.19 7733.80i −0.519552 2.27630i
\(227\) −1039.22 + 2647.89i −0.303857 + 0.774214i 0.694638 + 0.719360i \(0.255565\pi\)
−0.998494 + 0.0548546i \(0.982530\pi\)
\(228\) −8.55742 + 114.191i −0.00248565 + 0.0331688i
\(229\) 1347.06 203.036i 0.388716 0.0585895i 0.0482230 0.998837i \(-0.484644\pi\)
0.340493 + 0.940247i \(0.389406\pi\)
\(230\) −1230.86 1142.07i −0.352871 0.327416i
\(231\) 544.408 + 262.173i 0.155062 + 0.0746741i
\(232\) −1847.41 + 1259.54i −0.522795 + 0.356435i
\(233\) 572.406 + 1458.47i 0.160942 + 0.410074i 0.988483 0.151331i \(-0.0483560\pi\)
−0.827541 + 0.561406i \(0.810261\pi\)
\(234\) −2403.79 + 741.471i −0.671542 + 0.207143i
\(235\) −2343.12 + 2174.09i −0.650417 + 0.603499i
\(236\) 1807.92 2267.06i 0.498667 0.625308i
\(237\) −674.133 + 845.337i −0.184767 + 0.231690i
\(238\) −1579.08 + 1465.18i −0.430071 + 0.399047i
\(239\) 1505.97 464.530i 0.407586 0.125724i −0.0841811 0.996450i \(-0.526827\pi\)
0.491767 + 0.870727i \(0.336351\pi\)
\(240\) 302.037 + 769.578i 0.0812351 + 0.206984i
\(241\) 48.1269 32.8124i 0.0128636 0.00877025i −0.556871 0.830599i \(-0.687998\pi\)
0.569735 + 0.821829i \(0.307046\pi\)
\(242\) 418.684 + 201.628i 0.111215 + 0.0535583i
\(243\) 1857.76 + 1723.75i 0.490433 + 0.455055i
\(244\) 1691.04 254.883i 0.443678 0.0668737i
\(245\) −92.9613 + 1240.48i −0.0242411 + 0.323476i
\(246\) −378.881 + 965.373i −0.0981974 + 0.250203i
\(247\) −118.012 517.043i −0.0304004 0.133193i
\(248\) 176.718 + 2358.14i 0.0452485 + 0.603799i
\(249\) 291.752 + 89.9937i 0.0742532 + 0.0229041i
\(250\) 4838.07 2329.89i 1.22395 0.589421i
\(251\) 3138.48 5436.01i 0.789239 1.36700i −0.137194 0.990544i \(-0.543808\pi\)
0.926433 0.376459i \(-0.122858\pi\)
\(252\) 841.545 + 1457.60i 0.210367 + 0.364366i
\(253\) 1622.23 + 1106.02i 0.403117 + 0.274840i
\(254\) −2009.90 + 8805.97i −0.496506 + 2.17534i
\(255\) 446.711 + 67.3308i 0.109702 + 0.0165350i
\(256\) 3265.75 + 4095.13i 0.797303 + 0.999786i
\(257\) −3958.37 −0.960763 −0.480382 0.877060i \(-0.659502\pi\)
−0.480382 + 0.877060i \(0.659502\pi\)
\(258\) 335.176 + 1219.04i 0.0808805 + 0.294162i
\(259\) 152.633 0.0366183
\(260\) 682.410 + 855.715i 0.162774 + 0.204112i
\(261\) 4863.05 + 732.987i 1.15332 + 0.173834i
\(262\) 1048.42 4593.42i 0.247219 1.08314i
\(263\) 3889.44 + 2651.77i 0.911913 + 0.621732i 0.925735 0.378173i \(-0.123447\pi\)
−0.0138221 + 0.999904i \(0.504400\pi\)
\(264\) −251.360 435.369i −0.0585991 0.101497i
\(265\) −44.0073 + 76.2229i −0.0102013 + 0.0176692i
\(266\) −856.485 + 412.461i −0.197423 + 0.0950738i
\(267\) 1540.14 + 475.071i 0.353015 + 0.108891i
\(268\) 99.6999 + 1330.40i 0.0227244 + 0.303236i
\(269\) 432.490 + 1894.86i 0.0980275 + 0.429487i 0.999997 0.00231250i \(-0.000736091\pi\)
−0.901970 + 0.431799i \(0.857879\pi\)
\(270\) 712.358 1815.06i 0.160566 0.409114i
\(271\) 74.0705 988.402i 0.0166032 0.221554i −0.982730 0.185045i \(-0.940757\pi\)
0.999333 0.0365094i \(-0.0116239\pi\)
\(272\) 3407.80 513.643i 0.759662 0.114501i
\(273\) 353.963 + 328.430i 0.0784719 + 0.0728113i
\(274\) −4948.95 2383.29i −1.09116 0.525474i
\(275\) −1608.91 + 1096.94i −0.352804 + 0.240538i
\(276\) −123.768 315.355i −0.0269925 0.0687758i
\(277\) −152.060 + 46.9043i −0.0329834 + 0.0101740i −0.311203 0.950343i \(-0.600732\pi\)
0.278220 + 0.960518i \(0.410256\pi\)
\(278\) −3463.05 + 3213.24i −0.747123 + 0.693229i
\(279\) 3242.98 4066.57i 0.695886 0.872614i
\(280\) −830.623 + 1041.57i −0.177283 + 0.222306i
\(281\) −3280.05 + 3043.44i −0.696339 + 0.646108i −0.946727 0.322038i \(-0.895632\pi\)
0.250388 + 0.968146i \(0.419442\pi\)
\(282\) −1650.97 + 509.257i −0.348631 + 0.107538i
\(283\) 655.902 + 1671.21i 0.137771 + 0.351036i 0.983063 0.183270i \(-0.0586683\pi\)
−0.845291 + 0.534306i \(0.820573\pi\)
\(284\) −2177.63 + 1484.68i −0.454995 + 0.310210i
\(285\) 179.620 + 86.5002i 0.0373324 + 0.0179783i
\(286\) −2513.42 2332.11i −0.519656 0.482170i
\(287\) −3177.66 + 478.955i −0.653559 + 0.0985081i
\(288\) 363.392 4849.13i 0.0743509 0.992144i
\(289\) −1106.91 + 2820.37i −0.225303 + 0.574063i
\(290\) −1275.62 5588.86i −0.258300 1.13169i
\(291\) −159.484 2128.16i −0.0321275 0.428711i
\(292\) 4563.60 + 1407.69i 0.914605 + 0.282118i
\(293\) −2607.67 + 1255.79i −0.519937 + 0.250389i −0.675398 0.737454i \(-0.736028\pi\)
0.155461 + 0.987842i \(0.450314\pi\)
\(294\) −336.197 + 582.310i −0.0666918 + 0.115514i
\(295\) −2524.15 4371.96i −0.498175 0.862865i
\(296\) −104.922 71.5344i −0.0206029 0.0140468i
\(297\) −507.346 + 2222.83i −0.0991218 + 0.434281i
\(298\) −2898.78 436.921i −0.563496 0.0849334i
\(299\) 978.238 + 1226.67i 0.189207 + 0.237258i
\(300\) 335.992 0.0646618
\(301\) −2752.05 + 2788.19i −0.526996 + 0.533915i
\(302\) 8365.30 1.59394
\(303\) −539.705 676.768i −0.102327 0.128315i
\(304\) 1503.88 + 226.673i 0.283728 + 0.0427652i
\(305\) 662.518 2902.68i 0.124379 0.544941i
\(306\) −3257.00 2220.58i −0.608465 0.414844i
\(307\) −3657.00 6334.11i −0.679856 1.17755i −0.975024 0.222100i \(-0.928709\pi\)
0.295168 0.955446i \(-0.404625\pi\)
\(308\) −1147.03 + 1986.72i −0.212202 + 0.367544i
\(309\) 297.047 143.050i 0.0546873 0.0263360i
\(310\) −5793.53 1787.07i −1.06145 0.327415i
\(311\) −517.701 6908.24i −0.0943927 1.25958i −0.820357 0.571851i \(-0.806225\pi\)
0.725965 0.687732i \(-0.241394\pi\)
\(312\) −89.3936 391.659i −0.0162209 0.0710683i
\(313\) 2070.75 5276.17i 0.373947 0.952802i −0.612756 0.790272i \(-0.709939\pi\)
0.986704 0.162530i \(-0.0519655\pi\)
\(314\) 48.5293 647.578i 0.00872187 0.116385i
\(315\) 2897.51 436.730i 0.518275 0.0781173i
\(316\) −3009.14 2792.07i −0.535687 0.497045i
\(317\) 3369.79 + 1622.80i 0.597054 + 0.287526i 0.707901 0.706311i \(-0.249642\pi\)
−0.110847 + 0.993837i \(0.535356\pi\)
\(318\) −39.3077 + 26.7995i −0.00693165 + 0.00472592i
\(319\) 2448.97 + 6239.86i 0.429830 + 1.09519i
\(320\) −380.419 + 117.344i −0.0664565 + 0.0204991i
\(321\) −1619.27 + 1502.46i −0.281554 + 0.261244i
\(322\) 1753.48 2198.79i 0.303470 0.380540i
\(323\) 518.158 649.750i 0.0892604 0.111929i
\(324\) −2109.27 + 1957.11i −0.361671 + 0.335582i
\(325\) −1486.96 + 458.667i −0.253790 + 0.0782839i
\(326\) 3620.37 + 9224.55i 0.615073 + 1.56718i
\(327\) 1010.39 688.872i 0.170871 0.116498i
\(328\) 2408.84 + 1160.03i 0.405505 + 0.195281i
\(329\) −3924.57 3641.47i −0.657655 0.610215i
\(330\) 1274.51 192.101i 0.212604 0.0320449i
\(331\) 375.961 5016.85i 0.0624311 0.833085i −0.874824 0.484441i \(-0.839023\pi\)
0.937255 0.348644i \(-0.113358\pi\)
\(332\) −423.486 + 1079.03i −0.0700055 + 0.178371i
\(333\) 62.1527 + 272.309i 0.0102281 + 0.0448121i
\(334\) −989.966 13210.2i −0.162181 2.16416i
\(335\) 2219.52 + 684.631i 0.361986 + 0.111658i
\(336\) −1247.58 + 600.805i −0.202563 + 0.0975494i
\(337\) 2233.36 3868.30i 0.361006 0.625281i −0.627121 0.778922i \(-0.715767\pi\)
0.988127 + 0.153641i \(0.0491000\pi\)
\(338\) 2554.71 + 4424.89i 0.411118 + 0.712077i
\(339\) −2302.28 1569.67i −0.368857 0.251483i
\(340\) −381.650 + 1672.12i −0.0608762 + 0.266716i
\(341\) 7010.27 + 1056.63i 1.11328 + 0.167799i
\(342\) −1084.63 1360.08i −0.171491 0.215043i
\(343\) −6849.12 −1.07819
\(344\) 3198.54 626.831i 0.501319 0.0982456i
\(345\) −589.800 −0.0920398
\(346\) 7428.98 + 9315.65i 1.15429 + 1.44743i
\(347\) −4662.18 702.711i −0.721266 0.108713i −0.221856 0.975079i \(-0.571212\pi\)
−0.499409 + 0.866366i \(0.666450\pi\)
\(348\) 257.370 1127.61i 0.0396450 0.173696i
\(349\) 10261.6 + 6996.21i 1.57389 + 1.07306i 0.958598 + 0.284764i \(0.0919152\pi\)
0.615294 + 0.788297i \(0.289037\pi\)
\(350\) 1394.64 + 2415.59i 0.212990 + 0.368910i
\(351\) −910.987 + 1577.88i −0.138532 + 0.239945i
\(352\) 5971.55 2875.75i 0.904218 0.435448i
\(353\) −10060.9 3103.36i −1.51696 0.467919i −0.579191 0.815192i \(-0.696631\pi\)
−0.937764 + 0.347273i \(0.887108\pi\)
\(354\) −203.919 2721.11i −0.0306163 0.408546i
\(355\) 1021.05 + 4473.50i 0.152652 + 0.668813i
\(356\) −2235.56 + 5696.11i −0.332821 + 0.848014i
\(357\) −56.5455 + 754.547i −0.00838292 + 0.111862i
\(358\) 1790.16 269.823i 0.264282 0.0398341i
\(359\) 3347.76 + 3106.27i 0.492168 + 0.456665i 0.886786 0.462180i \(-0.152933\pi\)
−0.394618 + 0.918845i \(0.629123\pi\)
\(360\) −2196.47 1057.77i −0.321567 0.154859i
\(361\) −5364.15 + 3657.21i −0.782060 + 0.533199i
\(362\) 4753.38 + 12111.4i 0.690144 + 1.75846i
\(363\) 155.981 48.1138i 0.0225534 0.00695681i
\(364\) −1343.84 + 1246.90i −0.193507 + 0.179548i
\(365\) 5184.06 6500.60i 0.743413 0.932211i
\(366\) 1003.40 1258.22i 0.143302 0.179695i
\(367\) −2803.22 + 2601.01i −0.398711 + 0.369949i −0.853893 0.520449i \(-0.825765\pi\)
0.455182 + 0.890398i \(0.349574\pi\)
\(368\) −4299.48 + 1326.21i −0.609037 + 0.187863i
\(369\) −2148.45 5474.16i −0.303100 0.772286i
\(370\) 269.004 183.404i 0.0377969 0.0257695i
\(371\) −132.820 63.9626i −0.0185867 0.00895088i
\(372\) −896.705 832.021i −0.124978 0.115963i
\(373\) −12428.9 + 1873.35i −1.72532 + 0.260049i −0.935508 0.353306i \(-0.885058\pi\)
−0.789807 + 0.613355i \(0.789819\pi\)
\(374\) 401.518 5357.88i 0.0555134 0.740774i
\(375\) 689.117 1755.84i 0.0948956 0.241790i
\(376\) 991.152 + 4342.52i 0.135944 + 0.595608i
\(377\) 400.303 + 5341.67i 0.0546861 + 0.729735i
\(378\) 3120.77 + 962.629i 0.424643 + 0.130985i
\(379\) 5142.35 2476.43i 0.696952 0.335635i −0.0516393 0.998666i \(-0.516445\pi\)
0.748592 + 0.663031i \(0.230730\pi\)
\(380\) −378.446 + 655.488i −0.0510892 + 0.0884890i
\(381\) 1586.38 + 2747.69i 0.213314 + 0.369470i
\(382\) −6531.53 4453.12i −0.874823 0.596444i
\(383\) 1173.71 5142.38i 0.156590 0.686066i −0.834291 0.551325i \(-0.814123\pi\)
0.990881 0.134741i \(-0.0430203\pi\)
\(384\) 1685.96 + 254.117i 0.224052 + 0.0337705i
\(385\) 2490.18 + 3122.59i 0.329640 + 0.413355i
\(386\) −11320.7 −1.49277
\(387\) −6094.99 3774.52i −0.800584 0.495787i
\(388\) 8102.35 1.06014
\(389\) 6373.57 + 7992.20i 0.830727 + 1.04170i 0.998438 + 0.0558623i \(0.0177908\pi\)
−0.167712 + 0.985836i \(0.553638\pi\)
\(390\) 1018.48 + 153.511i 0.132237 + 0.0199316i
\(391\) −547.098 + 2396.99i −0.0707619 + 0.310028i
\(392\) 1432.26 + 976.500i 0.184541 + 0.125818i
\(393\) −827.495 1433.26i −0.106213 0.183966i
\(394\) 2638.46 4569.95i 0.337370 0.584342i
\(395\) −6438.92 + 3100.82i −0.820195 + 0.394985i
\(396\) −4011.53 1237.39i −0.509058 0.157024i
\(397\) −503.693 6721.32i −0.0636766 0.849706i −0.934011 0.357244i \(-0.883716\pi\)
0.870334 0.492461i \(-0.163903\pi\)
\(398\) −701.074 3071.61i −0.0882956 0.386848i
\(399\) −121.994 + 310.837i −0.0153067 + 0.0390008i
\(400\) 333.479 4449.97i 0.0416849 0.556246i
\(401\) −12584.0 + 1896.74i −1.56712 + 0.236206i −0.874475 0.485071i \(-0.838794\pi\)
−0.692647 + 0.721277i \(0.743556\pi\)
\(402\) 920.337 + 853.948i 0.114185 + 0.105948i
\(403\) 5104.24 + 2458.07i 0.630919 + 0.303835i
\(404\) 2715.33 1851.28i 0.334388 0.227982i
\(405\) 1830.17 + 4663.20i 0.224548 + 0.572139i
\(406\) 9175.14 2830.16i 1.12156 0.345956i
\(407\) −279.075 + 258.944i −0.0339883 + 0.0315366i
\(408\) 392.504 492.184i 0.0476271 0.0597224i
\(409\) −7323.14 + 9182.93i −0.885345 + 1.11019i 0.107901 + 0.994162i \(0.465587\pi\)
−0.993246 + 0.116026i \(0.962984\pi\)
\(410\) −5024.88 + 4662.41i −0.605271 + 0.561609i
\(411\) −1843.74 + 568.718i −0.221277 + 0.0682549i
\(412\) 457.303 + 1165.19i 0.0546837 + 0.139332i
\(413\) 6986.33 4763.20i 0.832384 0.567510i
\(414\) 4636.84 + 2232.98i 0.550454 + 0.265085i
\(415\) 1479.35 + 1372.64i 0.174985 + 0.162362i
\(416\) 5237.31 789.397i 0.617260 0.0930370i
\(417\) −124.009 + 1654.78i −0.0145629 + 0.194328i
\(418\) 866.258 2207.19i 0.101364 0.258271i
\(419\) 2650.35 + 11611.9i 0.309017 + 1.35389i 0.856099 + 0.516813i \(0.172882\pi\)
−0.547082 + 0.837079i \(0.684261\pi\)
\(420\) −51.4990 687.207i −0.00598308 0.0798387i
\(421\) −3212.01 990.773i −0.371837 0.114697i 0.103204 0.994660i \(-0.467091\pi\)
−0.475041 + 0.879964i \(0.657567\pi\)
\(422\) 7993.36 3849.40i 0.922064 0.444042i
\(423\) 4898.56 8484.56i 0.563064 0.975256i
\(424\) 61.3247 + 106.217i 0.00702403 + 0.0121660i
\(425\) −2014.75 1373.63i −0.229952 0.156779i
\(426\) −551.903 + 2418.04i −0.0627694 + 0.275011i
\(427\) 4931.14 + 743.249i 0.558863 + 0.0842350i
\(428\) −5228.83 6556.74i −0.590525 0.740496i
\(429\) −1204.38 −0.135543
\(430\) −1500.00 + 8220.85i −0.168224 + 0.921964i
\(431\) −12995.6 −1.45238 −0.726189 0.687495i \(-0.758710\pi\)
−0.726189 + 0.687495i \(0.758710\pi\)
\(432\) −3257.68 4085.00i −0.362813 0.454953i
\(433\) 7657.99 + 1154.26i 0.849930 + 0.128106i 0.559541 0.828802i \(-0.310977\pi\)
0.290389 + 0.956909i \(0.406215\pi\)
\(434\) 2259.69 9900.33i 0.249927 1.09500i
\(435\) −1663.75 1134.33i −0.183381 0.125027i
\(436\) 2321.37 + 4020.72i 0.254985 + 0.441646i
\(437\) −542.505 + 939.645i −0.0593856 + 0.102859i
\(438\) 4049.18 1949.98i 0.441729 0.212725i
\(439\) −6065.62 1871.00i −0.659445 0.203412i −0.0530703 0.998591i \(-0.516901\pi\)
−0.606375 + 0.795179i \(0.707377\pi\)
\(440\) −248.318 3313.58i −0.0269048 0.359020i
\(441\) −848.432 3717.22i −0.0916134 0.401385i
\(442\) 1568.62 3996.77i 0.168804 0.430106i
\(443\) 606.374 8091.51i 0.0650332 0.867808i −0.865338 0.501189i \(-0.832896\pi\)
0.930371 0.366619i \(-0.119485\pi\)
\(444\) 64.9547 9.79035i 0.00694283 0.00104646i
\(445\) 7809.41 + 7246.07i 0.831914 + 0.771903i
\(446\) −6369.47 3067.38i −0.676241 0.325660i
\(447\) −850.807 + 580.070i −0.0900263 + 0.0613789i
\(448\) −243.610 620.709i −0.0256908 0.0654592i
\(449\) 13767.4 4246.68i 1.44705 0.446355i 0.530981 0.847383i \(-0.321823\pi\)
0.916066 + 0.401029i \(0.131347\pi\)
\(450\) −3741.69 + 3471.78i −0.391967 + 0.363692i
\(451\) 4997.51 6266.68i 0.521782 0.654294i
\(452\) 6595.87 8270.96i 0.686380 0.860693i
\(453\) 2154.01 1998.63i 0.223409 0.207293i
\(454\) −9711.28 + 2995.53i −1.00391 + 0.309664i
\(455\) 1166.03 + 2970.99i 0.120141 + 0.306114i
\(456\) 229.541 156.498i 0.0235729 0.0160717i
\(457\) −712.299 343.025i −0.0729101 0.0351117i 0.397073 0.917787i \(-0.370026\pi\)
−0.469983 + 0.882675i \(0.655740\pi\)
\(458\) 3567.81 + 3310.44i 0.364002 + 0.337744i
\(459\) −2823.21 + 425.530i −0.287094 + 0.0432724i
\(460\) 167.336 2232.95i 0.0169611 0.226330i
\(461\) −3693.06 + 9409.76i −0.373108 + 0.950664i 0.613812 + 0.789452i \(0.289635\pi\)
−0.986920 + 0.161212i \(0.948460\pi\)
\(462\) 480.384 + 2104.70i 0.0483756 + 0.211947i
\(463\) −1078.71 14394.4i −0.108276 1.44485i −0.741539 0.670910i \(-0.765904\pi\)
0.633263 0.773937i \(-0.281715\pi\)
\(464\) −14678.9 4527.84i −1.46865 0.453017i
\(465\) −1918.76 + 924.027i −0.191356 + 0.0921521i
\(466\) −2798.85 + 4847.74i −0.278228 + 0.481904i
\(467\) −1402.92 2429.94i −0.139014 0.240780i 0.788110 0.615535i \(-0.211060\pi\)
−0.927124 + 0.374755i \(0.877727\pi\)
\(468\) −2771.79 1889.78i −0.273774 0.186656i
\(469\) −865.694 + 3792.85i −0.0852324 + 0.373428i
\(470\) −11292.4 1702.05i −1.10825 0.167042i
\(471\) −142.223 178.342i −0.0139136 0.0174471i
\(472\) −7034.86 −0.686029
\(473\) 301.674 9766.85i 0.0293256 0.949430i
\(474\) −3862.96 −0.374328
\(475\) −670.940 841.332i −0.0648102 0.0812694i
\(476\) −2840.63 428.156i −0.273530 0.0412280i
\(477\) 60.0296 263.007i 0.00576219 0.0252458i
\(478\) 4652.23 + 3171.84i 0.445163 + 0.303507i
\(479\) 3534.78 + 6122.43i 0.337178 + 0.584010i 0.983901 0.178715i \(-0.0571941\pi\)
−0.646723 + 0.762725i \(0.723861\pi\)
\(480\) −995.510 + 1724.27i −0.0946638 + 0.163962i
\(481\) −274.098 + 131.998i −0.0259829 + 0.0125127i
\(482\) 198.861 + 61.3405i 0.0187923 + 0.00579665i
\(483\) −73.8241 985.114i −0.00695468 0.0928038i
\(484\) 137.902 + 604.187i 0.0129510 + 0.0567419i
\(485\) 5153.54 13131.0i 0.482495 1.22938i
\(486\) −676.633 + 9029.04i −0.0631537 + 0.842728i
\(487\) 11900.2 1793.67i 1.10729 0.166897i 0.430154 0.902756i \(-0.358459\pi\)
0.677135 + 0.735859i \(0.263221\pi\)
\(488\) −3041.39 2822.00i −0.282125 0.261774i
\(489\) 3136.15 + 1510.29i 0.290023 + 0.139668i
\(490\) −3672.11 + 2503.60i −0.338549 + 0.230819i
\(491\) 4419.39 + 11260.4i 0.406200 + 1.03498i 0.976876 + 0.213805i \(0.0685859\pi\)
−0.570676 + 0.821175i \(0.693319\pi\)
\(492\) −1321.57 + 407.650i −0.121100 + 0.0373543i
\(493\) −6153.28 + 5709.41i −0.562130 + 0.521580i
\(494\) 1181.37 1481.39i 0.107596 0.134921i
\(495\) −4556.93 + 5714.21i −0.413775 + 0.518857i
\(496\) −11909.5 + 11050.4i −1.07813 + 1.00036i
\(497\) −7344.07 + 2265.35i −0.662830 + 0.204456i
\(498\) 398.522 + 1015.42i 0.0358599 + 0.0913694i
\(499\) −838.941 + 571.981i −0.0752629 + 0.0513134i −0.600367 0.799725i \(-0.704979\pi\)
0.525104 + 0.851038i \(0.324026\pi\)
\(500\) 6452.01 + 3107.12i 0.577085 + 0.277909i
\(501\) −3411.07 3165.01i −0.304183 0.282240i
\(502\) 22175.6 3342.43i 1.97160 0.297171i
\(503\) −348.726 + 4653.43i −0.0309124 + 0.412497i 0.960186 + 0.279363i \(0.0901233\pi\)
−0.991098 + 0.133134i \(0.957496\pi\)
\(504\) 1491.81 3801.06i 0.131846 0.335938i
\(505\) −1273.16 5578.10i −0.112188 0.491529i
\(506\) 524.210 + 6995.09i 0.0460553 + 0.614565i
\(507\) 1715.01 + 529.011i 0.150229 + 0.0463397i
\(508\) −10852.7 + 5226.37i −0.947853 + 0.456462i
\(509\) 8851.04 15330.4i 0.770757 1.33499i −0.166391 0.986060i \(-0.553211\pi\)
0.937148 0.348931i \(-0.113455\pi\)
\(510\) 807.008 + 1397.78i 0.0700685 + 0.121362i
\(511\) 11506.5 + 7845.01i 0.996122 + 0.679145i
\(512\) −1745.65 + 7648.19i −0.150679 + 0.660167i
\(513\) −1245.90 187.789i −0.107228 0.0161620i
\(514\) −8817.57 11056.9i −0.756666 0.948829i
\(515\) 2179.22 0.186462
\(516\) −992.326 + 1363.07i −0.0846603 + 0.116291i
\(517\) 13353.5 1.13595
\(518\) 340.001 + 426.348i 0.0288394 + 0.0361634i
\(519\) 4138.60 + 623.794i 0.350028 + 0.0527582i
\(520\) 590.872 2588.78i 0.0498297 0.218318i
\(521\) −6507.88 4436.99i −0.547246 0.373106i 0.257910 0.966169i \(-0.416966\pi\)
−0.805156 + 0.593063i \(0.797919\pi\)
\(522\) 8785.38 + 15216.7i 0.736639 + 1.27590i
\(523\) 2961.19 5128.94i 0.247579 0.428820i −0.715274 0.698844i \(-0.753698\pi\)
0.962854 + 0.270024i \(0.0870316\pi\)
\(524\) 5661.03 2726.21i 0.471953 0.227281i
\(525\) 936.240 + 288.792i 0.0778303 + 0.0240075i
\(526\) 1256.84 + 16771.4i 0.104184 + 1.39024i
\(527\) 1975.47 + 8655.12i 0.163288 + 0.715414i
\(528\) 1261.82 3215.07i 0.104003 0.264996i
\(529\) −669.363 + 8932.03i −0.0550147 + 0.734120i
\(530\) −310.943 + 46.8671i −0.0254839 + 0.00384109i
\(531\) 11342.8 + 10524.6i 0.926996 + 0.860126i
\(532\) −1142.20 550.054i −0.0930839 0.0448268i
\(533\) 5292.23 3608.18i 0.430079 0.293223i
\(534\) 2103.77 + 5360.33i 0.170485 + 0.434389i
\(535\) −13952.0 + 4303.61i −1.12747 + 0.347778i
\(536\) 2372.69 2201.53i 0.191202 0.177410i
\(537\) 396.489 497.182i 0.0318618 0.0399534i
\(538\) −4329.51 + 5429.03i −0.346948 + 0.435060i
\(539\) 3809.59 3534.78i 0.304435 0.282475i
\(540\) 2484.77 766.449i 0.198014 0.0610791i
\(541\) −3259.14 8304.16i −0.259004 0.659933i 0.740928 0.671585i \(-0.234386\pi\)
−0.999932 + 0.0116523i \(0.996291\pi\)
\(542\) 2925.89 1994.84i 0.231878 0.158092i
\(543\) 4117.62 + 1982.94i 0.325421 + 0.156715i
\(544\) 6084.15 + 5645.26i 0.479514 + 0.444924i
\(545\) 7992.67 1204.70i 0.628199 0.0946857i
\(546\) −128.921 + 1720.33i −0.0101049 + 0.134841i
\(547\) 2514.39 6406.57i 0.196541 0.500777i −0.798296 0.602265i \(-0.794265\pi\)
0.994837 + 0.101488i \(0.0323603\pi\)
\(548\) −1630.03 7141.65i −0.127065 0.556708i
\(549\) 681.965 + 9100.19i 0.0530156 + 0.707444i
\(550\) −6648.05 2050.65i −0.515407 0.158982i
\(551\) −3337.50 + 1607.26i −0.258044 + 0.124268i
\(552\) −410.946 + 711.779i −0.0316866 + 0.0548829i
\(553\) −5985.10 10366.5i −0.460239 0.797158i
\(554\) −469.743 320.265i −0.0360243 0.0245610i
\(555\) 25.4481 111.496i 0.00194633 0.00852743i
\(556\) −6229.72 938.980i −0.475178 0.0716216i
\(557\) 9047.02 + 11344.6i 0.688212 + 0.862991i 0.996082 0.0884375i \(-0.0281874\pi\)
−0.307869 + 0.951429i \(0.599616\pi\)
\(558\) 18583.1 1.40983
\(559\) 2530.88 7387.03i 0.191493 0.558923i
\(560\) −9152.65 −0.690661
\(561\) −1176.71 1475.55i −0.0885577 0.111048i
\(562\) −15807.8 2382.64i −1.18650 0.178835i
\(563\) 186.054 815.155i 0.0139276 0.0610208i −0.967487 0.252922i \(-0.918608\pi\)
0.981414 + 0.191902i \(0.0614654\pi\)
\(564\) −1903.72 1297.94i −0.142130 0.0969025i
\(565\) −9208.93 15950.3i −0.685703 1.18767i
\(566\) −3207.11 + 5554.88i −0.238171 + 0.412525i
\(567\) −7559.64 + 3640.53i −0.559920 + 0.269643i
\(568\) 6110.11 + 1884.72i 0.451364 + 0.139227i
\(569\) −1464.94 19548.3i −0.107932 1.44026i −0.743770 0.668435i \(-0.766964\pi\)
0.635838 0.771823i \(-0.280655\pi\)
\(570\) 158.496 + 694.416i 0.0116468 + 0.0510279i
\(571\) −7504.29 + 19120.6i −0.549991 + 1.40135i 0.337848 + 0.941201i \(0.390301\pi\)
−0.887839 + 0.460154i \(0.847794\pi\)
\(572\) 341.703 4559.70i 0.0249778 0.333306i
\(573\) −2745.77 + 413.857i −0.200185 + 0.0301730i
\(574\) −8416.35 7809.23i −0.612006 0.567859i
\(575\) 2868.30 + 1381.30i 0.208029 + 0.100181i
\(576\) 1008.19 687.375i 0.0729307 0.0497233i
\(577\) −8179.48 20841.0i −0.590149 1.50368i −0.843951 0.536420i \(-0.819776\pi\)
0.253802 0.967256i \(-0.418319\pi\)
\(578\) −10343.9 + 3190.66i −0.744374 + 0.229609i
\(579\) −2915.02 + 2704.74i −0.209230 + 0.194137i
\(580\) 4766.53 5977.04i 0.341241 0.427902i
\(581\) −2107.49 + 2642.70i −0.150488 + 0.188705i
\(582\) 5589.32 5186.13i 0.398084 0.369368i
\(583\) 351.363 108.381i 0.0249605 0.00769929i
\(584\) −4233.01 10785.5i −0.299937 0.764227i
\(585\) −4825.66 + 3290.08i −0.341054 + 0.232527i
\(586\) −9316.57 4486.62i −0.656764 0.316281i
\(587\) −5112.36 4743.58i −0.359471 0.333541i 0.479675 0.877446i \(-0.340755\pi\)
−0.839146 + 0.543906i \(0.816945\pi\)
\(588\) −886.682 + 133.646i −0.0621873 + 0.00937323i
\(589\) −292.776 + 3906.82i −0.0204815 + 0.273307i
\(590\) 6589.42 16789.6i 0.459800 1.17155i
\(591\) −412.461 1807.11i −0.0287079 0.125778i
\(592\) −65.1970 869.994i −0.00452632 0.0603995i
\(593\) 3421.77 + 1055.48i 0.236956 + 0.0730913i 0.410959 0.911654i \(-0.365194\pi\)
−0.174003 + 0.984745i \(0.555670\pi\)
\(594\) −7339.16 + 3534.35i −0.506952 + 0.244135i
\(595\) −2500.69 + 4331.31i −0.172299 + 0.298431i
\(596\) −1954.73 3385.68i −0.134343 0.232690i
\(597\) −914.388 623.419i −0.0626858 0.0427384i
\(598\) −1247.35 + 5465.01i −0.0852977 + 0.373714i
\(599\) 14969.4 + 2256.28i 1.02109 + 0.153905i 0.638186 0.769882i \(-0.279685\pi\)
0.382907 + 0.923787i \(0.374923\pi\)
\(600\) −508.236 637.308i −0.0345811 0.0433633i
\(601\) −1482.01 −0.100587 −0.0502933 0.998734i \(-0.516016\pi\)
−0.0502933 + 0.998734i \(0.516016\pi\)
\(602\) −13918.6 1476.39i −0.942328 0.0999553i
\(603\) −7119.26 −0.480794
\(604\) 6955.58 + 8722.02i 0.468574 + 0.587573i
\(605\) 1066.88 + 160.807i 0.0716942 + 0.0108062i
\(606\) 688.179 3015.11i 0.0461309 0.202113i
\(607\) −11127.3 7586.47i −0.744058 0.507290i 0.130956 0.991388i \(-0.458195\pi\)
−0.875014 + 0.484098i \(0.839148\pi\)
\(608\) 1831.36 + 3172.01i 0.122157 + 0.211582i
\(609\) 1686.36 2920.86i 0.112208 0.194350i
\(610\) 9583.86 4615.34i 0.636129 0.306344i
\(611\) 10196.9 + 3145.33i 0.675160 + 0.208259i
\(612\) −392.853 5242.26i −0.0259479 0.346251i
\(613\) 68.0140 + 297.989i 0.00448134 + 0.0196340i 0.977119 0.212693i \(-0.0682233\pi\)
−0.972638 + 0.232327i \(0.925366\pi\)
\(614\) 9546.77 24324.8i 0.627486 1.59881i
\(615\) −179.936 + 2401.08i −0.0117979 + 0.157432i
\(616\) 5503.43 829.509i 0.359967 0.0542563i
\(617\) 7054.15 + 6545.30i 0.460275 + 0.427073i 0.875922 0.482454i \(-0.160254\pi\)
−0.415647 + 0.909526i \(0.636445\pi\)
\(618\) 1061.28 + 511.083i 0.0690789 + 0.0332666i
\(619\) −18231.8 + 12430.2i −1.18384 + 0.807127i −0.984941 0.172893i \(-0.944689\pi\)
−0.198898 + 0.980020i \(0.563736\pi\)
\(620\) −2953.93 7526.49i −0.191343 0.487534i
\(621\) 3561.93 1098.71i 0.230169 0.0709979i
\(622\) 18143.5 16834.7i 1.16960 1.08523i
\(623\) −11125.3 + 13950.7i −0.715449 + 0.897145i
\(624\) 1720.83 2157.85i 0.110398 0.138434i
\(625\) 3990.48 3702.62i 0.255391 0.236968i
\(626\) 19350.7 5968.89i 1.23548 0.381094i
\(627\) −304.284 775.303i −0.0193811 0.0493822i
\(628\) 715.544 487.850i 0.0454671 0.0309989i
\(629\) −429.521 206.846i −0.0272275 0.0131121i
\(630\) 7674.36 + 7120.76i 0.485323 + 0.450314i
\(631\) −16877.9 + 2543.93i −1.06482 + 0.160495i −0.658002 0.753016i \(-0.728598\pi\)
−0.406813 + 0.913511i \(0.633360\pi\)
\(632\) −744.233 + 9931.10i −0.0468418 + 0.625060i
\(633\) 1138.54 2900.96i 0.0714899 0.182153i
\(634\) 2973.49 + 13027.7i 0.186266 + 0.816084i
\(635\) 1567.18 + 20912.6i 0.0979395 + 1.30691i
\(636\) −60.6259 18.7006i −0.00377983 0.00116592i
\(637\) 3741.64 1801.88i 0.232730 0.112077i
\(638\) −11974.5 + 20740.5i −0.743065 + 1.28703i
\(639\) −7032.09 12179.9i −0.435345 0.754039i
\(640\) 9311.44 + 6348.43i 0.575104 + 0.392100i
\(641\) 7043.22 30858.4i 0.433994 1.90145i 0.00111962 0.999999i \(-0.499644\pi\)
0.432875 0.901454i \(-0.357499\pi\)
\(642\) −7803.87 1176.24i −0.479742 0.0723094i
\(643\) 10650.7 + 13355.5i 0.653223 + 0.819116i 0.992587 0.121540i \(-0.0387832\pi\)
−0.339364 + 0.940655i \(0.610212\pi\)
\(644\) 3750.53 0.229490
\(645\) 1577.88 + 2475.19i 0.0963239 + 0.151102i
\(646\) 2969.18 0.180837
\(647\) −1487.54 1865.32i −0.0903883 0.113343i 0.734581 0.678521i \(-0.237379\pi\)
−0.824969 + 0.565178i \(0.808807\pi\)
\(648\) 6902.80 + 1040.43i 0.418469 + 0.0630740i
\(649\) −4693.03 + 20561.5i −0.283848 + 1.24362i
\(650\) −4593.51 3131.81i −0.277188 0.188984i
\(651\) −1783.52 3089.16i −0.107376 0.185981i
\(652\) −6607.65 + 11444.8i −0.396895 + 0.687442i
\(653\) −10975.6 + 5285.57i −0.657747 + 0.316754i −0.732819 0.680424i \(-0.761796\pi\)
0.0750718 + 0.997178i \(0.476081\pi\)
\(654\) 4174.94 + 1287.80i 0.249623 + 0.0769984i
\(655\) −817.481 10908.5i −0.0487658 0.650735i
\(656\) 4087.34 + 17907.8i 0.243268 + 1.06583i
\(657\) −9310.61 + 23723.1i −0.552879 + 1.40871i
\(658\) 1429.41 19074.1i 0.0846871 1.13007i
\(659\) −13122.1 + 1977.83i −0.775664 + 0.116913i −0.524932 0.851144i \(-0.675909\pi\)
−0.250732 + 0.968057i \(0.580671\pi\)
\(660\) 1260.02 + 1169.13i 0.0743124 + 0.0689518i
\(661\) 23610.9 + 11370.4i 1.38935 + 0.669075i 0.970971 0.239199i \(-0.0768847\pi\)
0.418377 + 0.908273i \(0.362599\pi\)
\(662\) 14851.0 10125.3i 0.871906 0.594455i
\(663\) −550.996 1403.92i −0.0322759 0.0822376i
\(664\) 2687.27 828.913i 0.157058 0.0484459i
\(665\) −1617.94 + 1501.23i −0.0943476 + 0.0875417i
\(666\) −622.189 + 780.200i −0.0362002 + 0.0453936i
\(667\) 6832.85 8568.12i 0.396655 0.497390i
\(668\) 12950.4 12016.2i 0.750096 0.695988i
\(669\) −2372.95 + 731.960i −0.137136 + 0.0423007i
\(670\) 3031.78 + 7724.84i 0.174818 + 0.445428i
\(671\) −10277.1 + 7006.79i −0.591270 + 0.403121i
\(672\) −3004.58 1446.93i −0.172476 0.0830602i
\(673\) 2844.37 + 2639.19i 0.162916 + 0.151164i 0.757418 0.652930i \(-0.226460\pi\)
−0.594502 + 0.804094i \(0.702651\pi\)
\(674\) 15780.3 2378.50i 0.901831 0.135929i
\(675\) −276.273 + 3686.60i −0.0157537 + 0.210218i
\(676\) −2489.39 + 6342.85i −0.141636 + 0.360881i
\(677\) −2842.19 12452.5i −0.161351 0.706923i −0.989273 0.146080i \(-0.953334\pi\)
0.827922 0.560843i \(-0.189523\pi\)
\(678\) −743.963 9927.50i −0.0421412 0.562335i
\(679\) 22577.1 + 6964.13i 1.27604 + 0.393606i
\(680\) 3748.96 1805.41i 0.211421 0.101815i
\(681\) −1784.90 + 3091.54i −0.100437 + 0.173962i
\(682\) 12664.4 + 21935.5i 0.711066 + 1.23160i
\(683\) −15257.8 10402.6i −0.854791 0.582786i 0.0547037 0.998503i \(-0.482579\pi\)
−0.909494 + 0.415716i \(0.863531\pi\)
\(684\) 516.232 2261.76i 0.0288576 0.126433i
\(685\) −12610.8 1900.78i −0.703409 0.106022i
\(686\) −15256.9 19131.6i −0.849144 1.06479i
\(687\) 1709.62 0.0949432
\(688\) 17068.0 + 14495.5i 0.945800 + 0.803249i
\(689\) 293.833 0.0162470
\(690\) −1313.82 1647.48i −0.0724876 0.0908966i
\(691\) −18673.2 2814.53i −1.02802 0.154949i −0.386686 0.922211i \(-0.626380\pi\)
−0.641334 + 0.767262i \(0.721618\pi\)
\(692\) −3535.84 + 15491.5i −0.194238 + 0.851012i
\(693\) −10114.5 6895.98i −0.554430 0.378004i
\(694\) −8422.50 14588.2i −0.460683 0.797926i
\(695\) −5484.20 + 9498.91i −0.299320 + 0.518437i
\(696\) −2528.15 + 1217.49i −0.137686 + 0.0663060i
\(697\) 9591.27 + 2958.51i 0.521227 + 0.160777i
\(698\) 3315.94 + 44248.1i 0.179814 + 2.39945i
\(699\) 437.534 + 1916.96i 0.0236753 + 0.103728i
\(700\) −1358.98 + 3462.62i −0.0733779 + 0.186964i
\(701\) 76.8734 1025.80i 0.00414190 0.0552698i −0.994750 0.102336i \(-0.967368\pi\)
0.998892 + 0.0470665i \(0.0149873\pi\)
\(702\) −6436.76 + 970.186i −0.346068 + 0.0521614i
\(703\) −154.223 143.098i −0.00827400 0.00767715i
\(704\) 1498.46 + 721.621i 0.0802208 + 0.0386323i
\(705\) −3314.36 + 2259.69i −0.177058 + 0.120716i
\(706\) −13742.7 35015.9i −0.732598 1.86663i
\(707\) 9157.47 2824.70i 0.487131 0.150260i
\(708\) 2667.59 2475.16i 0.141602 0.131387i
\(709\) −17852.3 + 22386.0i −0.945637 + 1.18579i 0.0368242 + 0.999322i \(0.488276\pi\)
−0.982461 + 0.186469i \(0.940296\pi\)
\(710\) −10221.3 + 12817.2i −0.540282 + 0.677492i
\(711\) 16057.5 14899.2i 0.846980 0.785882i
\(712\) 14185.9 4375.78i 0.746685 0.230322i
\(713\) −4234.47 10789.3i −0.222415 0.566705i
\(714\) −2233.63 + 1522.86i −0.117075 + 0.0798204i
\(715\) −7172.31 3454.00i −0.375145 0.180661i
\(716\) 1769.81 + 1642.15i 0.0923757 + 0.0857121i
\(717\) 1955.73 294.779i 0.101866 0.0153539i
\(718\) −1219.32 + 16270.8i −0.0633771 + 0.845709i
\(719\) −6794.28 + 17311.5i −0.352412 + 0.897930i 0.639243 + 0.769005i \(0.279248\pi\)
−0.991654 + 0.128925i \(0.958847\pi\)
\(720\) −3727.00 16329.0i −0.192913 0.845205i
\(721\) 272.769 + 3639.85i 0.0140894 + 0.188010i
\(722\) −22164.7 6836.91i −1.14250 0.352415i
\(723\) 65.8609 31.7169i 0.00338782 0.00163149i
\(724\) −8675.54 + 15026.5i −0.445337 + 0.771346i
\(725\) 5434.55 + 9412.92i 0.278392 + 0.482189i
\(726\) 481.856 + 328.524i 0.0246327 + 0.0167943i
\(727\) 5259.23 23042.2i 0.268300 1.17550i −0.643690 0.765287i \(-0.722597\pi\)
0.911990 0.410213i \(-0.134546\pi\)
\(728\) 4397.87 + 662.872i 0.223895 + 0.0337468i
\(729\) −8183.35 10261.6i −0.415757 0.521343i
\(730\) 29706.0 1.50612
\(731\) 11523.0 4116.63i 0.583029 0.208289i
\(732\) 2146.18 0.108368
\(733\) −12147.0 15231.9i −0.612088 0.767534i 0.375119 0.926977i \(-0.377602\pi\)
−0.987207 + 0.159443i \(0.949030\pi\)
\(734\) −13509.8 2036.27i −0.679366 0.102398i
\(735\) −347.386 + 1522.00i −0.0174334 + 0.0763807i
\(736\) −8953.05 6104.08i −0.448388 0.305706i
\(737\) −4851.79 8403.55i −0.242494 0.420012i
\(738\) 10505.1 18195.4i 0.523981 0.907562i
\(739\) 22409.4 10791.8i 1.11548 0.537188i 0.216989 0.976174i \(-0.430376\pi\)
0.898494 + 0.438986i \(0.144662\pi\)
\(740\) 414.896 + 127.978i 0.0206106 + 0.00635754i
\(741\) −49.7376 663.703i −0.00246580 0.0329038i
\(742\) −117.200 513.487i −0.00579858 0.0254052i
\(743\) −6699.90 + 17071.1i −0.330815 + 0.842903i 0.664595 + 0.747204i \(0.268604\pi\)
−0.995410 + 0.0956996i \(0.969491\pi\)
\(744\) −221.777 + 2959.41i −0.0109284 + 0.145830i
\(745\) −6730.29 + 1014.43i −0.330978 + 0.0498870i
\(746\) −32919.1 30544.5i −1.61562 1.49908i
\(747\) −5572.97 2683.80i −0.272964 0.131453i
\(748\) 5920.21 4036.33i 0.289391 0.197303i
\(749\) −8934.45 22764.6i −0.435858 1.11055i
\(750\) 6439.64 1986.37i 0.313523 0.0967091i
\(751\) 16589.7 15393.0i 0.806083 0.747936i −0.165098 0.986277i \(-0.552794\pi\)
0.971182 + 0.238341i \(0.0766036\pi\)
\(752\) −19079.7 + 23925.2i −0.925219 + 1.16019i
\(753\) 4911.50 6158.83i 0.237696 0.298061i
\(754\) −14029.2 + 13017.2i −0.677602 + 0.628722i
\(755\) 18559.4 5724.82i 0.894630 0.275957i
\(756\) 1591.18 + 4054.25i 0.0765483 + 0.195042i
\(757\) 17166.5 11703.9i 0.824212 0.561938i −0.0761417 0.997097i \(-0.524260\pi\)
0.900354 + 0.435159i \(0.143308\pi\)
\(758\) 18372.4 + 8847.67