Properties

Label 43.4.g.a.24.8
Level 43
Weight 4
Character 43.24
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 24.8
Character \(\chi\) \(=\) 43.24
Dual form 43.4.g.a.9.8

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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 −0.212378 0.977188i \(-0.568121\pi\)
0.999946 0.0103911i \(-0.00330764\pi\)
\(3\) 1.24096 0.187044i 0.238823 0.0359967i −0.0285402 0.999593i \(-0.509086\pi\)
0.267363 + 0.963596i \(0.413848\pi\)
\(4\) −1.06022 4.64514i −0.132528 0.580642i
\(5\) 6.85374 4.67280i 0.613017 0.417948i −0.216616 0.976257i \(-0.569502\pi\)
0.829633 + 0.558309i \(0.188550\pi\)
\(6\) 2.24186 3.88302i 0.152539 0.264206i
\(7\) −6.94688 12.0324i −0.375097 0.649686i 0.615245 0.788336i \(-0.289057\pi\)
−0.990341 + 0.138650i \(0.955724\pi\)
\(8\) 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 0.752269 + 0.658856i \(0.228959\pi\)
−0.963638 + 0.267211i \(0.913898\pi\)
\(12\) −2.18454 5.56611i −0.0525518 0.133900i
\(13\) 2.06949 + 27.6154i 0.0441518 + 0.589165i 0.974776 + 0.223187i \(0.0716462\pi\)
−0.930624 + 0.365977i \(0.880735\pi\)
\(14\) −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 0.791420 0.611273i \(-0.209342\pi\)
−0.279880 + 0.960035i \(0.590295\pi\)
\(18\) −33.1867 + 84.5582i −0.434565 + 1.10725i
\(19\) 18.3000 + 5.64479i 0.220963 + 0.0681581i 0.403260 0.915085i \(-0.367877\pi\)
−0.182297 + 0.983244i \(0.558353\pi\)
\(20\) −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 0.469099 0.883146i \(-0.344579\pi\)
−0.845620 + 0.533785i \(0.820769\pi\)
\(24\) 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 −0.495357 0.868689i \(-0.664963\pi\)
−0.729401 + 0.684087i \(0.760201\pi\)
\(30\) −2.77943 37.0890i −0.0169151 0.225716i
\(31\) −74.7398 190.434i −0.433022 1.10332i −0.966308 0.257387i \(-0.917139\pi\)
0.533287 0.845934i \(-0.320957\pi\)
\(32\) 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 −0.877970 0.478715i \(-0.841103\pi\)
0.853564 + 0.520987i \(0.174436\pi\)
\(38\) 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 −0.427230 0.904143i \(-0.640511\pi\)
0.976542 + 0.215328i \(0.0690820\pi\)
\(42\) −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 −0.914497 0.404593i \(-0.867413\pi\)
0.648387 0.761311i \(-0.275444\pi\)
\(48\) 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 −0.996082 0.0884342i \(-0.971814\pi\)
0.998137 + 0.0610119i \(0.0194328\pi\)
\(54\) −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 −0.926486 0.376329i \(-0.877186\pi\)
−0.283429 + 0.958993i \(0.591472\pi\)
\(60\) −40.9816 27.9408i −0.0881784 0.0601190i
\(61\) −131.130 + 334.115i −0.275238 + 0.701295i 0.724687 + 0.689078i \(0.241984\pi\)
−0.999925 + 0.0122174i \(0.996111\pi\)
\(62\) −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 0.528935 0.848662i \(-0.322592\pi\)
−0.0410418 + 0.999157i \(0.513068\pi\)
\(68\) 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 −0.264222 0.964462i \(-0.585115\pi\)
0.942020 + 0.335558i \(0.108925\pi\)
\(72\) −290.614 43.8030i −0.475682 0.0716976i
\(73\) 74.9055 + 999.545i 0.120096 + 1.60257i 0.653643 + 0.756803i \(0.273240\pi\)
−0.533547 + 0.845770i \(0.679141\pi\)
\(74\) 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 −0.990647 0.136452i \(-0.956430\pi\)
0.377152 0.926151i \(-0.376903\pi\)
\(80\) 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 0.0119695 0.999928i \(-0.496190\pi\)
0.306172 + 0.951976i \(0.400952\pi\)
\(84\) −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 0.660232 0.751062i \(-0.270458\pi\)
0.852279 + 0.523088i \(0.175220\pi\)
\(90\) 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 0.246452 + 0.969155i \(0.420735\pi\)
−0.642546 + 0.766247i \(0.722122\pi\)
\(98\) −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 −0.888775 0.458343i \(-0.848443\pi\)
0.390644 + 0.920542i \(0.372253\pi\)
\(102\) 175.305 84.4227i 0.170175 0.0819519i
\(103\) 217.063 + 147.991i 0.207649 + 0.141572i 0.662679 0.748903i \(-0.269419\pi\)
−0.455031 + 0.890476i \(0.650372\pi\)
\(104\) −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 −0.969885 0.243565i \(-0.921683\pi\)
−0.0216383 0.999766i \(-0.506888\pi\)
\(108\) 195.447 + 245.083i 0.174138 + 0.218362i
\(109\) 714.303 + 662.776i 0.627687 + 0.582408i 0.928526 0.371267i \(-0.121076\pi\)
−0.300840 + 0.953675i \(0.597267\pi\)
\(110\) 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 −0.666985 + 0.745071i \(0.732416\pi\)
−0.998378 + 0.0569257i \(0.981870\pi\)
\(114\) 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 0.184017 0.982923i \(-0.441090\pi\)
0.917331 0.398125i \(-0.130339\pi\)
\(128\) 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 −0.976363 0.216139i \(-0.930653\pi\)
0.427981 + 0.903788i \(0.359225\pi\)
\(132\) 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 −0.0511384 0.998692i \(-0.516285\pi\)
−0.812693 + 0.582692i \(0.801999\pi\)
\(138\) −242.745 + 74.8768i −0.149738 + 0.0461880i
\(139\) 98.8135 1318.58i 0.0602968 0.804605i −0.882303 0.470681i \(-0.844008\pi\)
0.942600 0.333924i \(-0.108373\pi\)
\(140\) −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 0.497288 0.867585i \(-0.334329\pi\)
−0.827997 + 0.560733i \(0.810520\pi\)
\(150\) 157.086 + 196.979i 0.0855066 + 0.107222i
\(151\) 1459.85 + 1830.59i 0.786760 + 0.986565i 0.999954 + 0.00955560i \(0.00304169\pi\)
−0.213195 + 0.977010i \(0.568387\pi\)
\(152\) 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 −0.713312 0.700846i \(-0.752806\pi\)
0.645581 + 0.763692i \(0.276615\pi\)
\(158\) −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 0.417035 0.908891i \(-0.363069\pi\)
0.856567 + 0.516037i \(0.172593\pi\)
\(164\) −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 −0.421414 + 0.906868i \(0.638466\pi\)
−0.998140 + 0.0609675i \(0.980581\pi\)
\(168\) −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 0.914062 0.405575i \(-0.132929\pi\)
−0.808269 + 0.588814i \(0.799595\pi\)
\(180\) 905.356 + 435.996i 0.374896 + 0.180540i
\(181\) 3479.88 1073.40i 1.42905 0.440803i 0.518810 0.854889i \(-0.326375\pi\)
0.910237 + 0.414087i \(0.135899\pi\)
\(182\) 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 −0.132869 0.991134i \(-0.542419\pi\)
−0.668107 + 0.744065i \(0.732895\pi\)
\(192\) −44.1517 40.9668i −0.0165957 0.0153985i
\(193\) −1975.61 2477.33i −0.736826 0.923950i 0.262332 0.964978i \(-0.415508\pi\)
−0.999158 + 0.0410274i \(0.986937\pi\)
\(194\) 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 −0.994635 0.103448i \(-0.967012\pi\)
0.799481 + 0.600691i \(0.205108\pi\)
\(198\) −2600.94 1773.29i −0.933538 0.636475i
\(199\) −794.510 + 382.616i −0.283022 + 0.136296i −0.570009 0.821638i \(-0.693060\pi\)
0.286988 + 0.957934i \(0.407346\pi\)
\(200\) −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 0.981493 + 0.191499i \(0.0613349\pi\)
−0.801206 + 0.598388i \(0.795808\pi\)
\(212\) −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 0.146614 0.989194i \(-0.453162\pi\)
−0.681970 + 0.731380i \(0.738877\pi\)
\(224\) −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 −0.998494 0.0548546i \(-0.982530\pi\)
0.694638 0.719360i \(-0.255565\pi\)
\(228\) −8.55742 114.191i −0.00248565 0.0331688i
\(229\) 1347.06 + 203.036i 0.388716 + 0.0585895i 0.340493 0.940247i \(-0.389406\pi\)
0.0482230 + 0.998837i \(0.484644\pi\)
\(230\) −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 −0.827541 0.561406i \(-0.810261\pi\)
0.988483 + 0.151331i \(0.0483560\pi\)
\(234\) −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 0.491767 0.870727i \(-0.336351\pi\)
−0.0841811 + 0.996450i \(0.526827\pi\)
\(240\) 302.037 769.578i 0.0812351 0.206984i
\(241\) 48.1269 + 32.8124i 0.0128636 + 0.00877025i 0.569735 0.821829i \(-0.307046\pi\)
−0.556871 + 0.830599i \(0.687998\pi\)
\(242\) 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 0.926433 + 0.376459i \(0.122858\pi\)
−0.137194 + 0.990544i \(0.543808\pi\)
\(252\) 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 −0.0138221 0.999904i \(-0.504400\pi\)
0.925735 + 0.378173i \(0.123447\pi\)
\(264\) −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 −0.901970 0.431799i \(-0.857879\pi\)
0.999997 + 0.00231250i \(0.000736091\pi\)
\(270\) 712.358 + 1815.06i 0.160566 + 0.409114i
\(271\) 74.0705 + 988.402i 0.0166032 + 0.221554i 0.999333 + 0.0365094i \(0.0116239\pi\)
−0.982730 + 0.185045i \(0.940757\pi\)
\(272\) 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 0.278220 0.960518i \(-0.410256\pi\)
−0.311203 + 0.950343i \(0.600732\pi\)
\(278\) −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 0.250388 0.968146i \(-0.419442\pi\)
−0.946727 + 0.322038i \(0.895632\pi\)
\(282\) −1650.97 509.257i −0.348631 0.107538i
\(283\) 655.902 1671.21i 0.137771 0.351036i −0.845291 0.534306i \(-0.820573\pi\)
0.983063 + 0.183270i \(0.0586683\pi\)
\(284\) −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 0.155461 0.987842i \(-0.450314\pi\)
−0.675398 + 0.737454i \(0.736028\pi\)
\(294\) −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 0.295168 + 0.955446i \(0.404625\pi\)
−0.975024 + 0.222100i \(0.928709\pi\)
\(308\) −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 0.725965 + 0.687732i \(0.241394\pi\)
−0.820357 + 0.571851i \(0.806225\pi\)
\(312\) −89.3936 + 391.659i −0.0162209 + 0.0710683i
\(313\) 2070.75 + 5276.17i 0.373947 + 0.952802i 0.986704 + 0.162530i \(0.0519655\pi\)
−0.612756 + 0.790272i \(0.709939\pi\)
\(314\) 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 −0.110847 0.993837i \(-0.535356\pi\)
0.707901 + 0.706311i \(0.249642\pi\)
\(318\) −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 0.937255 + 0.348644i \(0.113358\pi\)
−0.874824 + 0.484441i \(0.839023\pi\)
\(332\) −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 0.988127 0.153641i \(-0.0491000\pi\)
−0.627121 + 0.778922i \(0.715767\pi\)
\(338\) 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 −0.499409 0.866366i \(-0.666450\pi\)
−0.221856 + 0.975079i \(0.571212\pi\)
\(348\) 257.370 + 1127.61i 0.0396450 + 0.173696i
\(349\) 10261.6 6996.21i 1.57389 1.07306i 0.615294 0.788297i \(-0.289037\pi\)
0.958598 0.284764i \(-0.0919152\pi\)
\(350\) 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 −0.937764 0.347273i \(-0.887108\pi\)
−0.579191 + 0.815192i \(0.696631\pi\)
\(354\) −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 −0.394618 0.918845i \(-0.629123\pi\)
0.886786 + 0.462180i \(0.152933\pi\)
\(360\) −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 0.455182 0.890398i \(-0.349574\pi\)
−0.853893 + 0.520449i \(0.825765\pi\)
\(368\) −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 −0.789807 0.613355i \(-0.789819\pi\)
−0.935508 + 0.353306i \(0.885058\pi\)
\(374\) 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 0.748592 0.663031i \(-0.230730\pi\)
−0.0516393 + 0.998666i \(0.516445\pi\)
\(380\) −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 0.990881 + 0.134741i \(0.0430203\pi\)
−0.834291 + 0.551325i \(0.814123\pi\)
\(384\) 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 −0.167712 0.985836i \(-0.553638\pi\)
0.998438 0.0558623i \(-0.0177908\pi\)
\(390\) 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 0.870334 + 0.492461i \(0.163903\pi\)
−0.934011 + 0.357244i \(0.883716\pi\)
\(398\) −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 −0.692647 0.721277i \(-0.743556\pi\)
−0.874475 + 0.485071i \(0.838794\pi\)
\(402\) 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 −0.993246 0.116026i \(-0.962984\pi\)
0.107901 0.994162i \(-0.465587\pi\)
\(410\) −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 −0.547082 0.837079i \(-0.684261\pi\)
0.856099 0.516813i \(-0.172882\pi\)
\(420\) −51.4990 + 687.207i −0.00598308 + 0.0798387i
\(421\) −3212.01 + 990.773i −0.371837 + 0.114697i −0.475041 0.879964i \(-0.657567\pi\)
0.103204 + 0.994660i \(0.467091\pi\)
\(422\) 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 0.290389 0.956909i \(-0.406215\pi\)
0.559541 + 0.828802i \(0.310977\pi\)
\(434\) 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 −0.606375 0.795179i \(-0.707377\pi\)
−0.0530703 + 0.998591i \(0.516901\pi\)
\(440\) −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 0.930371 + 0.366619i \(0.119485\pi\)
−0.865338 + 0.501189i \(0.832896\pi\)
\(444\) 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 0.916066 0.401029i \(-0.131347\pi\)
0.530981 + 0.847383i \(0.321823\pi\)
\(450\) −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 −0.469983 0.882675i \(-0.655740\pi\)
0.397073 + 0.917787i \(0.370026\pi\)
\(458\) 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 −0.986920 0.161212i \(-0.948460\pi\)
0.613812 0.789452i \(-0.289635\pi\)
\(462\) 480.384 2104.70i 0.0483756 0.211947i
\(463\) −1078.71 + 14394.4i −0.108276 + 1.44485i 0.633263 + 0.773937i \(0.281715\pi\)
−0.741539 + 0.670910i \(0.765904\pi\)
\(464\) −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 −0.927124 0.374755i \(-0.877727\pi\)
0.788110 + 0.615535i \(0.211060\pi\)
\(468\) −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 −0.646723 0.762725i \(-0.723861\pi\)
0.983901 + 0.178715i \(0.0571941\pi\)
\(480\) −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 0.677135 0.735859i \(-0.263221\pi\)
0.430154 + 0.902756i \(0.358459\pi\)
\(488\) −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 −0.570676 0.821175i \(-0.693319\pi\)
0.976876 0.213805i \(-0.0685859\pi\)
\(492\) −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 0.525104 0.851038i \(-0.324026\pi\)
−0.600367 + 0.799725i \(0.704979\pi\)
\(500\) 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 −0.991098 0.133134i \(-0.957496\pi\)
0.960186 0.279363i \(-0.0901233\pi\)
\(504\) 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 0.937148 + 0.348931i \(0.113455\pi\)
−0.166391 + 0.986060i \(0.553211\pi\)
\(510\) 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 −0.805156 0.593063i \(-0.797919\pi\)
0.257910 + 0.966169i \(0.416966\pi\)
\(522\) 8785.38 15216.7i 0.736639 1.27590i
\(523\) 2961.19 + 5128.94i 0.247579 + 0.428820i 0.962854 0.270024i \(-0.0870316\pi\)
−0.715274 + 0.698844i \(0.753698\pi\)
\(524\) 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 −0.999932 0.0116523i \(-0.996291\pi\)
0.740928 + 0.671585i \(0.234386\pi\)
\(542\) 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 0.994837 0.101488i \(-0.0323603\pi\)
−0.798296 + 0.602265i \(0.794265\pi\)
\(548\) −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 −0.307869 0.951429i \(-0.599616\pi\)
0.996082 + 0.0884375i \(0.0281874\pi\)
\(558\) 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 0.981414 0.191902i \(-0.0614654\pi\)
−0.967487 + 0.252922i \(0.918608\pi\)
\(564\) −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 0.635838 + 0.771823i \(0.280655\pi\)
−0.743770 + 0.668435i \(0.766964\pi\)
\(570\) 158.496 694.416i 0.0116468 0.0510279i
\(571\) −7504.29 19120.6i −0.549991 1.40135i −0.887839 0.460154i \(-0.847794\pi\)
0.337848 0.941201i \(-0.390301\pi\)
\(572\) 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 0.253802 + 0.967256i \(0.418319\pi\)
−0.843951 + 0.536420i \(0.819776\pi\)
\(578\) −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 −0.839146 0.543906i \(-0.816945\pi\)
0.479675 + 0.877446i \(0.340755\pi\)
\(588\) −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 −0.174003 0.984745i \(-0.555670\pi\)
0.410959 + 0.911654i \(0.365194\pi\)
\(594\) −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 0.382907 0.923787i \(-0.374923\pi\)
0.638186 + 0.769882i \(0.279685\pi\)
\(600\) −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 −0.875014 0.484098i \(-0.839148\pi\)
0.130956 + 0.991388i \(0.458195\pi\)
\(608\) 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 −0.972638 0.232327i \(-0.925366\pi\)
0.977119 + 0.212693i \(0.0682233\pi\)
\(614\) 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 −0.415647 0.909526i \(-0.636445\pi\)
0.875922 + 0.482454i \(0.160254\pi\)
\(618\) 1061.28 511.083i 0.0690789 0.0332666i
\(619\) −18231.8 12430.2i −1.18384 0.807127i −0.198898 0.980020i \(-0.563736\pi\)
−0.984941 + 0.172893i \(0.944689\pi\)
\(620\) −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 −0.406813 0.913511i \(-0.633360\pi\)
−0.658002 + 0.753016i \(0.728598\pi\)
\(632\) −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 0.432875 + 0.901454i \(0.357499\pi\)
0.00111962 + 0.999999i \(0.499644\pi\)
\(642\) −7803.87 + 1176.24i −0.479742 + 0.0723094i
\(643\) 10650.7 13355.5i 0.653223 0.819116i −0.339364 0.940655i \(-0.610212\pi\)
0.992587 + 0.121540i \(0.0387832\pi\)
\(644\) 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 −0.824969 0.565178i \(-0.808807\pi\)
0.734581 + 0.678521i \(0.237379\pi\)
\(648\) 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 0.0750718 0.997178i \(-0.476081\pi\)
−0.732819 + 0.680424i \(0.761796\pi\)
\(654\) 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 −0.250732 0.968057i \(-0.580671\pi\)
−0.524932 + 0.851144i \(0.675909\pi\)
\(660\) 1260.02 1169.13i 0.0743124 0.0689518i
\(661\) 23610.9 11370.4i 1.38935 0.669075i 0.418377 0.908273i \(-0.362599\pi\)
0.970971 + 0.239199i \(0.0768847\pi\)
\(662\) 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 −0.594502 0.804094i \(-0.702651\pi\)
0.757418 + 0.652930i \(0.226460\pi\)
\(674\) 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 0.827922 + 0.560843i \(0.189523\pi\)
−0.989273 + 0.146080i \(0.953334\pi\)
\(678\) −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 −0.909494 0.415716i \(-0.863531\pi\)
0.0547037 + 0.998503i \(0.482579\pi\)
\(684\) 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 −0.641334 0.767262i \(-0.721618\pi\)
−0.386686 + 0.922211i \(0.626380\pi\)
\(692\) −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 0.998892 0.0470665i \(-0.0149873\pi\)
−0.994750 + 0.102336i \(0.967368\pi\)
\(702\) −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 −0.982461 0.186469i \(-0.940296\pi\)
0.0368242 0.999322i \(-0.488276\pi\)
\(710\) −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 −0.991654 0.128925i \(-0.958847\pi\)
0.639243 0.769005i \(-0.279248\pi\)
\(720\) −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 0.911990 + 0.410213i \(0.134546\pi\)
−0.643690 + 0.765287i \(0.722597\pi\)
\(728\) 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 −0.987207 0.159443i \(-0.949030\pi\)
0.375119 + 0.926977i \(0.377602\pi\)
\(734\) −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 0.898494 0.438986i \(-0.144662\pi\)
0.216989 + 0.976174i \(0.430376\pi\)
\(740\) 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 −0.995410 0.0956996i \(-0.969491\pi\)
0.664595 0.747204i \(-0.268604\pi\)
\(744\) −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 0.971182 0.238341i \(-0.0766036\pi\)
−0.165098 + 0.986277i \(0.552794\pi\)
\(752\) −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 0.900354 0.435159i \(-0.143308\pi\)
−0.0761417 + 0.997097i \(0.524260\pi\)
\(758\)