Properties

Label 177.4.e.a.4.13
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.13

$q$-expansion

\(f(q)\) \(=\) \(q+(3.96175 + 0.430866i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(7.69682 + 1.69420i) q^{4} +(-13.8169 - 10.5033i) q^{5} +(-8.67951 + 8.22167i) q^{6} +(-7.10268 + 17.8264i) q^{7} +(-0.449126 - 0.151328i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(3.96175 + 0.430866i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(7.69682 + 1.69420i) q^{4} +(-13.8169 - 10.5033i) q^{5} +(-8.67951 + 8.22167i) q^{6} +(-7.10268 + 17.8264i) q^{7} +(-0.449126 - 0.151328i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-50.2135 - 47.5647i) q^{10} +(-26.5402 + 12.2788i) q^{11} +(-18.8222 + 14.3083i) q^{12} +(-12.9395 + 78.9277i) q^{13} +(-35.8198 + 67.5633i) q^{14} +(50.8503 - 11.1930i) q^{15} +(-58.9355 - 27.2665i) q^{16} +(-42.5864 - 106.884i) q^{17} +(-1.94174 - 35.8134i) q^{18} +(42.2050 + 62.2477i) q^{19} +(-88.5514 - 104.251i) q^{20} +(-26.9653 - 50.8619i) q^{21} +(-110.436 + 37.2102i) q^{22} +(4.46007 - 82.2612i) q^{23} +(1.21828 - 0.733018i) q^{24} +(47.1455 + 169.803i) q^{25} +(-85.2704 + 307.116i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-84.8695 + 125.173i) q^{28} +(82.5447 - 8.97728i) q^{29} +(206.279 - 22.4342i) q^{30} +(82.8028 - 122.125i) q^{31} +(-218.490 - 131.461i) q^{32} +(23.4699 - 84.5311i) q^{33} +(-122.664 - 441.796i) q^{34} +(285.373 - 171.703i) q^{35} +(3.84005 - 70.8256i) q^{36} +(-7.24884 + 2.44242i) q^{37} +(140.385 + 264.794i) q^{38} +(-155.336 - 182.876i) q^{39} +(4.61608 + 6.80821i) q^{40} +(18.8950 + 348.498i) q^{41} +(-84.9149 - 213.120i) q^{42} +(-125.852 - 58.2253i) q^{43} +(-225.077 + 49.5433i) q^{44} +(-73.1667 + 138.007i) q^{45} +(53.1132 - 323.976i) q^{46} +(71.0147 - 53.9840i) q^{47} +(176.806 - 81.7994i) q^{48} +(-18.3157 - 17.3496i) q^{49} +(113.616 + 693.029i) q^{50} +(327.098 + 110.212i) q^{51} +(-233.312 + 585.570i) q^{52} +(-524.149 + 496.501i) q^{53} +(85.6579 + 65.1155i) q^{54} +(495.671 + 109.105i) q^{55} +(5.88764 - 6.93147i) q^{56} +(-224.297 - 24.3938i) q^{57} +330.889 q^{58} +(-239.474 + 384.748i) q^{59} +410.349 q^{60} +(128.252 + 13.9483i) q^{61} +(380.663 - 448.151i) q^{62} +(168.666 + 37.1261i) q^{63} +(-395.392 - 300.569i) q^{64} +(1007.79 - 954.627i) q^{65} +(129.403 - 324.778i) q^{66} +(-326.766 - 110.100i) q^{67} +(-146.698 - 894.816i) q^{68} +(179.427 + 169.962i) q^{69} +(1204.56 - 557.288i) q^{70} +(-668.507 + 508.186i) q^{71} +(-0.690068 + 4.20923i) q^{72} +(-303.590 + 572.632i) q^{73} +(-29.7704 + 6.55296i) q^{74} +(-479.816 - 221.986i) q^{75} +(219.384 + 550.613i) q^{76} +(-30.3801 - 560.328i) q^{77} +(-536.608 - 791.438i) q^{78} +(-634.560 - 747.062i) q^{79} +(527.916 + 995.756i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-75.2986 + 1388.80i) q^{82} +(1010.74 - 608.144i) q^{83} +(-121.377 - 437.159i) q^{84} +(-534.224 + 1924.10i) q^{85} +(-473.506 - 284.899i) q^{86} +(-139.788 + 206.173i) q^{87} +(13.7780 - 1.49845i) q^{88} +(-588.984 + 64.0559i) q^{89} +(-349.331 + 515.224i) q^{90} +(-1315.09 - 791.264i) q^{91} +(173.695 - 625.593i) q^{92} +(118.421 + 426.513i) q^{93} +(304.602 - 183.273i) q^{94} +(70.6662 - 1303.36i) q^{95} +(724.928 - 244.257i) q^{96} +(-150.969 - 284.758i) q^{97} +(-65.0869 - 76.6262i) q^{98} +(147.697 + 217.836i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.96175 + 0.430866i 1.40069 + 0.152334i 0.777080 0.629402i \(-0.216700\pi\)
0.623609 + 0.781736i \(0.285666\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 7.69682 + 1.69420i 0.962102 + 0.211775i
\(5\) −13.8169 10.5033i −1.23582 0.939446i −0.236339 0.971671i \(-0.575948\pi\)
−0.999481 + 0.0322245i \(0.989741\pi\)
\(6\) −8.67951 + 8.22167i −0.590566 + 0.559414i
\(7\) −7.10268 + 17.8264i −0.383509 + 0.962535i 0.602839 + 0.797863i \(0.294036\pi\)
−0.986348 + 0.164672i \(0.947343\pi\)
\(8\) −0.449126 0.151328i −0.0198488 0.00668783i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −50.2135 47.5647i −1.58789 1.50413i
\(11\) −26.5402 + 12.2788i −0.727469 + 0.336563i −0.748427 0.663217i \(-0.769190\pi\)
0.0209578 + 0.999780i \(0.493328\pi\)
\(12\) −18.8222 + 14.3083i −0.452792 + 0.344203i
\(13\) −12.9395 + 78.9277i −0.276060 + 1.68389i 0.376706 + 0.926333i \(0.377057\pi\)
−0.652766 + 0.757560i \(0.726391\pi\)
\(14\) −35.8198 + 67.5633i −0.683803 + 1.28979i
\(15\) 50.8503 11.1930i 0.875299 0.192668i
\(16\) −58.9355 27.2665i −0.920867 0.426038i
\(17\) −42.5864 106.884i −0.607572 1.52489i −0.834516 0.550983i \(-0.814253\pi\)
0.226944 0.973908i \(-0.427126\pi\)
\(18\) −1.94174 35.8134i −0.0254263 0.468961i
\(19\) 42.2050 + 62.2477i 0.509604 + 0.751610i 0.992257 0.124202i \(-0.0396370\pi\)
−0.482653 + 0.875812i \(0.660327\pi\)
\(20\) −88.5514 104.251i −0.990034 1.16556i
\(21\) −26.9653 50.8619i −0.280205 0.528522i
\(22\) −110.436 + 37.2102i −1.07023 + 0.360602i
\(23\) 4.46007 82.2612i 0.0404343 0.745767i −0.906080 0.423106i \(-0.860940\pi\)
0.946514 0.322661i \(-0.104577\pi\)
\(24\) 1.21828 0.733018i 0.0103617 0.00623444i
\(25\) 47.1455 + 169.803i 0.377164 + 1.35842i
\(26\) −85.2704 + 307.116i −0.643189 + 2.31656i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) −84.8695 + 125.173i −0.572815 + 0.844839i
\(29\) 82.5447 8.97728i 0.528557 0.0574841i 0.160050 0.987109i \(-0.448834\pi\)
0.368507 + 0.929625i \(0.379869\pi\)
\(30\) 206.279 22.4342i 1.25537 0.136530i
\(31\) 82.8028 122.125i 0.479736 0.707558i −0.508403 0.861119i \(-0.669764\pi\)
0.988139 + 0.153562i \(0.0490743\pi\)
\(32\) −218.490 131.461i −1.20700 0.726228i
\(33\) 23.4699 84.5311i 0.123806 0.445908i
\(34\) −122.664 441.796i −0.618726 2.22845i
\(35\) 285.373 171.703i 1.37820 0.829234i
\(36\) 3.84005 70.8256i 0.0177780 0.327896i
\(37\) −7.24884 + 2.44242i −0.0322081 + 0.0108522i −0.335359 0.942090i \(-0.608858\pi\)
0.303151 + 0.952942i \(0.401961\pi\)
\(38\) 140.385 + 264.794i 0.599301 + 1.13040i
\(39\) −155.336 182.876i −0.637788 0.750862i
\(40\) 4.61608 + 6.80821i 0.0182467 + 0.0269118i
\(41\) 18.8950 + 348.498i 0.0719733 + 1.32747i 0.781993 + 0.623287i \(0.214203\pi\)
−0.710020 + 0.704182i \(0.751314\pi\)
\(42\) −84.9149 213.120i −0.311968 0.782980i
\(43\) −125.852 58.2253i −0.446331 0.206495i 0.183832 0.982958i \(-0.441150\pi\)
−0.630163 + 0.776463i \(0.717012\pi\)
\(44\) −225.077 + 49.5433i −0.771175 + 0.169748i
\(45\) −73.1667 + 138.007i −0.242379 + 0.457175i
\(46\) 53.1132 323.976i 0.170242 1.03843i
\(47\) 71.0147 53.9840i 0.220395 0.167540i −0.489151 0.872199i \(-0.662693\pi\)
0.709546 + 0.704659i \(0.248900\pi\)
\(48\) 176.806 81.7994i 0.531663 0.245973i
\(49\) −18.3157 17.3496i −0.0533986 0.0505818i
\(50\) 113.616 + 693.029i 0.321356 + 1.96018i
\(51\) 327.098 + 110.212i 0.898096 + 0.302604i
\(52\) −233.312 + 585.570i −0.622204 + 1.56161i
\(53\) −524.149 + 496.501i −1.35844 + 1.28678i −0.436370 + 0.899767i \(0.643736\pi\)
−0.922072 + 0.387017i \(0.873505\pi\)
\(54\) 85.6579 + 65.1155i 0.215862 + 0.164094i
\(55\) 495.671 + 109.105i 1.21520 + 0.267487i
\(56\) 5.88764 6.93147i 0.0140494 0.0165403i
\(57\) −224.297 24.3938i −0.521209 0.0566848i
\(58\) 330.889 0.749101
\(59\) −239.474 + 384.748i −0.528421 + 0.848983i
\(60\) 410.349 0.882930
\(61\) 128.252 + 13.9483i 0.269197 + 0.0292769i 0.241722 0.970346i \(-0.422288\pi\)
0.0274749 + 0.999622i \(0.491253\pi\)
\(62\) 380.663 448.151i 0.779746 0.917988i
\(63\) 168.666 + 37.1261i 0.337300 + 0.0742453i
\(64\) −395.392 300.569i −0.772251 0.587050i
\(65\) 1007.79 954.627i 1.92309 1.82164i
\(66\) 129.403 324.778i 0.241340 0.605719i
\(67\) −326.766 110.100i −0.595833 0.200759i 0.00519636 0.999986i \(-0.498346\pi\)
−0.601029 + 0.799227i \(0.705242\pi\)
\(68\) −146.698 894.816i −0.261613 1.59577i
\(69\) 179.427 + 169.962i 0.313050 + 0.296537i
\(70\) 1204.56 557.288i 2.05675 0.951552i
\(71\) −668.507 + 508.186i −1.11743 + 0.849445i −0.989812 0.142379i \(-0.954525\pi\)
−0.127613 + 0.991824i \(0.540732\pi\)
\(72\) −0.690068 + 4.20923i −0.00112952 + 0.00688975i
\(73\) −303.590 + 572.632i −0.486747 + 0.918102i 0.511521 + 0.859271i \(0.329082\pi\)
−0.998268 + 0.0588315i \(0.981263\pi\)
\(74\) −29.7704 + 6.55296i −0.0467667 + 0.0102941i
\(75\) −479.816 221.986i −0.738725 0.341771i
\(76\) 219.384 + 550.613i 0.331119 + 0.831047i
\(77\) −30.3801 560.328i −0.0449628 0.829289i
\(78\) −536.608 791.438i −0.778961 1.14888i
\(79\) −634.560 747.062i −0.903716 1.06394i −0.997661 0.0683594i \(-0.978224\pi\)
0.0939447 0.995577i \(-0.470052\pi\)
\(80\) 527.916 + 995.756i 0.737786 + 1.39161i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −75.2986 + 1388.80i −0.101407 + 1.87034i
\(83\) 1010.74 608.144i 1.33667 0.804247i 0.345701 0.938345i \(-0.387641\pi\)
0.990968 + 0.134098i \(0.0428136\pi\)
\(84\) −121.377 437.159i −0.157658 0.567833i
\(85\) −534.224 + 1924.10i −0.681703 + 2.45527i
\(86\) −473.506 284.899i −0.593715 0.357226i
\(87\) −139.788 + 206.173i −0.172263 + 0.254069i
\(88\) 13.7780 1.49845i 0.0166902 0.00181517i
\(89\) −588.984 + 64.0559i −0.701485 + 0.0762911i −0.451909 0.892064i \(-0.649257\pi\)
−0.249576 + 0.968355i \(0.580291\pi\)
\(90\) −349.331 + 515.224i −0.409141 + 0.603437i
\(91\) −1315.09 791.264i −1.51493 0.911505i
\(92\) 173.695 625.593i 0.196837 0.708942i
\(93\) 118.421 + 426.513i 0.132039 + 0.475563i
\(94\) 304.602 183.273i 0.334227 0.201097i
\(95\) 70.6662 1303.36i 0.0763179 1.40760i
\(96\) 724.928 244.257i 0.770704 0.259680i
\(97\) −150.969 284.758i −0.158027 0.298070i 0.791838 0.610731i \(-0.209124\pi\)
−0.949865 + 0.312661i \(0.898780\pi\)
\(98\) −65.0869 76.6262i −0.0670895 0.0789838i
\(99\) 147.697 + 217.836i 0.149940 + 0.221145i
\(100\) 75.1909 + 1386.82i 0.0751909 + 1.38682i
\(101\) −346.349 869.269i −0.341218 0.856391i −0.995015 0.0997221i \(-0.968205\pi\)
0.653798 0.756669i \(-0.273175\pi\)
\(102\) 1248.39 + 577.568i 1.21186 + 0.560664i
\(103\) 887.294 195.308i 0.848813 0.186838i 0.230795 0.973002i \(-0.425867\pi\)
0.618017 + 0.786165i \(0.287936\pi\)
\(104\) 17.7555 33.4904i 0.0167410 0.0315770i
\(105\) −161.643 + 985.978i −0.150236 + 0.916396i
\(106\) −2290.47 + 1741.17i −2.09878 + 1.59545i
\(107\) 1552.58 718.298i 1.40274 0.648977i 0.434885 0.900486i \(-0.356789\pi\)
0.967855 + 0.251509i \(0.0809268\pi\)
\(108\) 154.484 + 146.335i 0.137641 + 0.130380i
\(109\) −38.3236 233.763i −0.0336764 0.205417i 0.964629 0.263612i \(-0.0849138\pi\)
−0.998305 + 0.0581948i \(0.981466\pi\)
\(110\) 1916.71 + 645.815i 1.66137 + 0.559782i
\(111\) 8.49384 21.3179i 0.00726306 0.0182289i
\(112\) 904.663 856.942i 0.763237 0.722977i
\(113\) −1231.35 936.048i −1.02509 0.779256i −0.0494857 0.998775i \(-0.515758\pi\)
−0.975608 + 0.219519i \(0.929551\pi\)
\(114\) −878.098 193.284i −0.721416 0.158796i
\(115\) −925.641 + 1089.75i −0.750578 + 0.883649i
\(116\) 650.541 + 70.7506i 0.520700 + 0.0566295i
\(117\) 719.832 0.568791
\(118\) −1114.51 + 1421.09i −0.869482 + 1.10866i
\(119\) 2207.83 1.70077
\(120\) −24.5320 2.66802i −0.0186621 0.00202963i
\(121\) −308.060 + 362.676i −0.231450 + 0.272484i
\(122\) 502.092 + 110.519i 0.372601 + 0.0820157i
\(123\) −833.533 633.635i −0.611034 0.464496i
\(124\) 844.222 799.689i 0.611398 0.579147i
\(125\) 329.081 825.932i 0.235471 0.590989i
\(126\) 652.215 + 219.757i 0.461142 + 0.155377i
\(127\) −217.662 1327.68i −0.152082 0.927658i −0.947069 0.321031i \(-0.895971\pi\)
0.794987 0.606627i \(-0.207478\pi\)
\(128\) 44.0367 + 41.7138i 0.0304089 + 0.0288048i
\(129\) 377.556 174.676i 0.257689 0.119220i
\(130\) 4403.91 3347.77i 2.97114 2.25861i
\(131\) −316.100 + 1928.12i −0.210823 + 1.28596i 0.643189 + 0.765707i \(0.277611\pi\)
−0.854012 + 0.520254i \(0.825837\pi\)
\(132\) 323.856 610.857i 0.213546 0.402790i
\(133\) −1409.42 + 310.237i −0.918889 + 0.202263i
\(134\) −1247.12 576.981i −0.803994 0.371967i
\(135\) −173.450 435.326i −0.110579 0.277533i
\(136\) 2.95213 + 54.4489i 0.00186135 + 0.0343305i
\(137\) 427.817 + 630.982i 0.266794 + 0.393492i 0.937362 0.348356i \(-0.113260\pi\)
−0.670568 + 0.741848i \(0.733950\pi\)
\(138\) 637.613 + 750.656i 0.393313 + 0.463044i
\(139\) 780.591 + 1472.35i 0.476323 + 0.898440i 0.998947 + 0.0458770i \(0.0146082\pi\)
−0.522624 + 0.852563i \(0.675047\pi\)
\(140\) 2487.37 838.092i 1.50158 0.505940i
\(141\) −14.4882 + 267.220i −0.00865339 + 0.159602i
\(142\) −2867.42 + 1725.27i −1.69456 + 1.01959i
\(143\) −625.719 2253.64i −0.365911 1.31789i
\(144\) −156.353 + 563.133i −0.0904821 + 0.325887i
\(145\) −1234.80 742.956i −0.707205 0.425511i
\(146\) −1449.47 + 2137.81i −0.821639 + 1.21183i
\(147\) 75.2416 8.18302i 0.0422165 0.00459132i
\(148\) −59.9309 + 6.51788i −0.0332858 + 0.00362004i
\(149\) 832.019 1227.14i 0.457461 0.674704i −0.527089 0.849810i \(-0.676716\pi\)
0.984550 + 0.175106i \(0.0560268\pi\)
\(150\) −1805.26 1086.19i −0.982660 0.591247i
\(151\) −330.220 + 1189.35i −0.177966 + 0.640977i 0.819706 + 0.572785i \(0.194137\pi\)
−0.997672 + 0.0681924i \(0.978277\pi\)
\(152\) −9.53553 34.3439i −0.00508838 0.0183267i
\(153\) −887.275 + 533.856i −0.468836 + 0.282089i
\(154\) 121.068 2232.97i 0.0633502 1.16843i
\(155\) −2426.79 + 817.682i −1.25758 + 0.423728i
\(156\) −885.768 1670.74i −0.454604 0.857474i
\(157\) 1908.29 + 2246.61i 0.970051 + 1.14203i 0.989834 + 0.142228i \(0.0454266\pi\)
−0.0197832 + 0.999804i \(0.506298\pi\)
\(158\) −2192.08 3233.08i −1.10375 1.62791i
\(159\) −117.261 2162.74i −0.0584866 1.07872i
\(160\) 1638.08 + 4111.26i 0.809383 + 2.03140i
\(161\) 1434.74 + 663.783i 0.702320 + 0.324928i
\(162\) −315.247 + 69.3911i −0.152890 + 0.0336536i
\(163\) 66.6738 125.760i 0.0320386 0.0604312i −0.866976 0.498350i \(-0.833939\pi\)
0.899015 + 0.437919i \(0.144284\pi\)
\(164\) −444.993 + 2714.34i −0.211879 + 1.29240i
\(165\) −1212.14 + 921.444i −0.571908 + 0.434753i
\(166\) 4266.34 1973.82i 1.99477 0.922879i
\(167\) −1899.31 1799.12i −0.880077 0.833654i 0.106940 0.994265i \(-0.465895\pi\)
−0.987018 + 0.160612i \(0.948653\pi\)
\(168\) 4.41397 + 26.9240i 0.00202705 + 0.0123645i
\(169\) −3980.16 1341.07i −1.81163 0.610410i
\(170\) −2945.49 + 7392.62i −1.32888 + 3.33523i
\(171\) 491.397 465.476i 0.219755 0.208163i
\(172\) −870.014 661.367i −0.385686 0.293191i
\(173\) −340.758 75.0065i −0.149753 0.0329632i 0.139461 0.990228i \(-0.455463\pi\)
−0.289214 + 0.957264i \(0.593394\pi\)
\(174\) −642.639 + 756.573i −0.279991 + 0.329630i
\(175\) −3361.83 365.621i −1.45217 0.157934i
\(176\) 1898.96 0.813291
\(177\) −414.626 1294.80i −0.176075 0.549846i
\(178\) −2361.00 −0.994184
\(179\) −4065.86 442.189i −1.69775 0.184641i −0.792601 0.609741i \(-0.791273\pi\)
−0.905146 + 0.425100i \(0.860239\pi\)
\(180\) −796.962 + 938.257i −0.330011 + 0.388520i
\(181\) −3117.78 686.276i −1.28035 0.281826i −0.477829 0.878453i \(-0.658576\pi\)
−0.802519 + 0.596627i \(0.796507\pi\)
\(182\) −4869.13 3701.41i −1.98310 1.50751i
\(183\) −280.978 + 266.157i −0.113500 + 0.107513i
\(184\) −14.4516 + 36.2708i −0.00579014 + 0.0145321i
\(185\) 125.810 + 42.3903i 0.0499985 + 0.0168465i
\(186\) 285.383 + 1740.76i 0.112502 + 0.686230i
\(187\) 2442.65 + 2313.81i 0.955212 + 0.904825i
\(188\) 638.047 295.192i 0.247523 0.114516i
\(189\) −412.464 + 313.547i −0.158743 + 0.120673i
\(190\) 841.536 5133.14i 0.321323 1.95998i
\(191\) −1364.52 + 2573.75i −0.516926 + 0.975026i 0.478371 + 0.878158i \(0.341227\pi\)
−0.995297 + 0.0968684i \(0.969117\pi\)
\(192\) 1455.16 320.305i 0.546965 0.120396i
\(193\) −1119.71 518.031i −0.417607 0.193206i 0.199822 0.979832i \(-0.435964\pi\)
−0.617429 + 0.786627i \(0.711826\pi\)
\(194\) −475.408 1193.18i −0.175940 0.441576i
\(195\) 225.458 + 4158.33i 0.0827969 + 1.52710i
\(196\) −111.579 164.567i −0.0406630 0.0599734i
\(197\) 3479.95 + 4096.91i 1.25856 + 1.48169i 0.808275 + 0.588805i \(0.200401\pi\)
0.450284 + 0.892886i \(0.351323\pi\)
\(198\) 491.279 + 926.650i 0.176332 + 0.332597i
\(199\) −836.668 + 281.906i −0.298039 + 0.100421i −0.464349 0.885653i \(-0.653712\pi\)
0.166309 + 0.986074i \(0.446815\pi\)
\(200\) 4.52167 83.3974i 0.00159865 0.0294854i
\(201\) 886.374 533.313i 0.311045 0.187149i
\(202\) −997.606 3593.05i −0.347482 1.25152i
\(203\) −426.256 + 1535.24i −0.147376 + 0.530801i
\(204\) 2330.89 + 1402.45i 0.799976 + 0.481330i
\(205\) 3399.32 5013.62i 1.15814 1.70813i
\(206\) 3599.39 391.457i 1.21738 0.132398i
\(207\) −737.092 + 80.1636i −0.247495 + 0.0269167i
\(208\) 2914.68 4298.83i 0.971618 1.43303i
\(209\) −1884.45 1133.84i −0.623686 0.375259i
\(210\) −1065.21 + 3836.55i −0.350031 + 1.26070i
\(211\) −426.157 1534.88i −0.139042 0.500784i 0.860927 0.508729i \(-0.169885\pi\)
−0.999968 + 0.00794570i \(0.997471\pi\)
\(212\) −4875.45 + 2933.46i −1.57947 + 0.950335i
\(213\) 136.387 2515.51i 0.0438736 0.809202i
\(214\) 6460.40 2176.76i 2.06366 0.695329i
\(215\) 1127.32 + 2126.36i 0.357594 + 0.674494i
\(216\) −8.28412 9.75282i −0.00260955 0.00307220i
\(217\) 1588.93 + 2343.49i 0.497066 + 0.733117i
\(218\) −51.1076 942.624i −0.0158782 0.292856i
\(219\) −719.694 1806.30i −0.222066 0.557343i
\(220\) 3630.24 + 1679.53i 1.11250 + 0.514699i
\(221\) 8987.15 1978.22i 2.73548 0.602125i
\(222\) 42.8356 80.7965i 0.0129502 0.0244266i
\(223\) 287.442 1753.32i 0.0863164 0.526507i −0.907907 0.419173i \(-0.862320\pi\)
0.994223 0.107334i \(-0.0342315\pi\)
\(224\) 3895.35 2961.17i 1.16192 0.883265i
\(225\) 1439.45 665.959i 0.426503 0.197321i
\(226\) −4474.98 4238.93i −1.31713 1.24765i
\(227\) 306.275 + 1868.19i 0.0895515 + 0.546240i 0.993054 + 0.117658i \(0.0375385\pi\)
−0.903503 + 0.428582i \(0.859013\pi\)
\(228\) −1685.05 567.758i −0.489452 0.164915i
\(229\) −1441.59 + 3618.13i −0.415996 + 1.04407i 0.560426 + 0.828204i \(0.310637\pi\)
−0.976423 + 0.215868i \(0.930742\pi\)
\(230\) −4136.69 + 3918.48i −1.18594 + 1.12338i
\(231\) 1340.18 + 1018.78i 0.381721 + 0.290177i
\(232\) −38.4315 8.45942i −0.0108757 0.00239391i
\(233\) 2415.65 2843.92i 0.679203 0.799620i −0.309277 0.950972i \(-0.600087\pi\)
0.988480 + 0.151353i \(0.0483629\pi\)
\(234\) 2851.79 + 310.151i 0.796698 + 0.0866462i
\(235\) −1548.21 −0.429763
\(236\) −2495.03 + 2555.62i −0.688188 + 0.704902i
\(237\) 2940.56 0.805950
\(238\) 8746.87 + 951.279i 2.38225 + 0.259085i
\(239\) −2067.70 + 2434.28i −0.559616 + 0.658831i −0.967104 0.254379i \(-0.918129\pi\)
0.407488 + 0.913210i \(0.366405\pi\)
\(240\) −3302.08 726.843i −0.888118 0.195490i
\(241\) 4891.17 + 3718.17i 1.30734 + 0.993811i 0.999096 + 0.0425019i \(0.0135329\pi\)
0.308239 + 0.951309i \(0.400260\pi\)
\(242\) −1376.72 + 1304.10i −0.365698 + 0.346407i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) 963.502 + 324.642i 0.252795 + 0.0851765i
\(245\) 70.8381 + 432.093i 0.0184722 + 0.112675i
\(246\) −3029.23 2869.44i −0.785109 0.743695i
\(247\) −5459.18 + 2525.68i −1.40631 + 0.650629i
\(248\) −55.6699 + 42.3191i −0.0142542 + 0.0108358i
\(249\) −572.511 + 3492.16i −0.145709 + 0.888783i
\(250\) 1659.60 3130.34i 0.419850 0.791921i
\(251\) 1197.19 263.521i 0.301059 0.0662681i −0.0618721 0.998084i \(-0.519707\pi\)
0.362931 + 0.931816i \(0.381776\pi\)
\(252\) 1235.29 + 571.506i 0.308794 + 0.142863i
\(253\) 891.697 + 2237.99i 0.221583 + 0.556131i
\(254\) −290.270 5353.71i −0.0717053 1.32253i
\(255\) −3361.88 4958.41i −0.825605 1.21768i
\(256\) 2728.77 + 3212.55i 0.666203 + 0.784315i
\(257\) 3096.63 + 5840.86i 0.751605 + 1.41768i 0.903194 + 0.429233i \(0.141216\pi\)
−0.151589 + 0.988444i \(0.548439\pi\)
\(258\) 1571.04 529.345i 0.379104 0.127735i
\(259\) 7.94670 146.568i 0.00190650 0.0351634i
\(260\) 9374.09 5640.20i 2.23598 1.34535i
\(261\) −199.919 720.044i −0.0474126 0.170765i
\(262\) −2083.07 + 7502.53i −0.491192 + 1.76912i
\(263\) −2397.21 1442.35i −0.562047 0.338172i 0.206014 0.978549i \(-0.433951\pi\)
−0.768061 + 0.640377i \(0.778778\pi\)
\(264\) −23.3329 + 34.4135i −0.00543955 + 0.00802274i
\(265\) 12457.0 1354.78i 2.88766 0.314051i
\(266\) −5717.43 + 621.808i −1.31789 + 0.143329i
\(267\) 997.438 1471.11i 0.228622 0.337193i
\(268\) −2328.53 1401.03i −0.530736 0.319333i
\(269\) 1753.47 6315.44i 0.397439 1.43145i −0.446392 0.894838i \(-0.647291\pi\)
0.843831 0.536609i \(-0.180295\pi\)
\(270\) −499.597 1799.39i −0.112609 0.405582i
\(271\) −2246.15 + 1351.46i −0.503483 + 0.302935i −0.744543 0.667575i \(-0.767332\pi\)
0.241060 + 0.970510i \(0.422505\pi\)
\(272\) −404.493 + 7460.43i −0.0901691 + 1.66307i
\(273\) 4363.33 1470.18i 0.967329 0.325931i
\(274\) 1423.03 + 2684.12i 0.313754 + 0.591802i
\(275\) −3336.22 3927.70i −0.731570 0.861271i
\(276\) 1093.07 + 1612.15i 0.238387 + 0.351595i
\(277\) −350.342 6461.68i −0.0759928 1.40161i −0.749294 0.662237i \(-0.769607\pi\)
0.673301 0.739368i \(-0.264876\pi\)
\(278\) 2458.12 + 6169.41i 0.530317 + 1.33100i
\(279\) −1205.21 557.589i −0.258616 0.119649i
\(280\) −154.152 + 33.9315i −0.0329013 + 0.00724212i
\(281\) −1238.04 + 2335.20i −0.262831 + 0.495752i −0.979443 0.201720i \(-0.935347\pi\)
0.716612 + 0.697472i \(0.245692\pi\)
\(282\) −172.534 + 1052.41i −0.0364336 + 0.222235i
\(283\) 5783.51 4396.51i 1.21482 0.923482i 0.216218 0.976345i \(-0.430628\pi\)
0.998602 + 0.0528631i \(0.0168347\pi\)
\(284\) −6006.35 + 2778.83i −1.25497 + 0.580610i
\(285\) 2842.87 + 2692.91i 0.590868 + 0.559700i
\(286\) −1507.92 9197.93i −0.311767 1.90170i
\(287\) −6346.67 2138.44i −1.30534 0.439820i
\(288\) −849.435 + 2131.92i −0.173797 + 0.436197i
\(289\) −6043.74 + 5724.94i −1.23015 + 1.16526i
\(290\) −4571.86 3475.44i −0.925754 0.703740i
\(291\) 944.300 + 207.856i 0.190226 + 0.0418720i
\(292\) −3306.83 + 3893.10i −0.662731 + 0.780228i
\(293\) 3086.48 + 335.674i 0.615405 + 0.0669294i 0.410512 0.911855i \(-0.365350\pi\)
0.204893 + 0.978784i \(0.434315\pi\)
\(294\) 301.614 0.0598316
\(295\) 7349.92 2800.76i 1.45061 0.552767i
\(296\) 3.62525 0.000711870
\(297\) −784.931 85.3663i −0.153355 0.0166783i
\(298\) 3824.98 4503.11i 0.743541 0.875364i
\(299\) 6434.98 + 1416.45i 1.24463 + 0.273964i
\(300\) −3316.97 2521.49i −0.638351 0.485261i
\(301\) 1931.83 1829.93i 0.369930 0.350417i
\(302\) −1820.70 + 4569.60i −0.346918 + 0.870699i
\(303\) 2660.24 + 896.338i 0.504378 + 0.169945i
\(304\) −790.096 4819.38i −0.149063 0.909244i
\(305\) −1625.54 1539.80i −0.305175 0.289077i
\(306\) −3745.18 + 1732.70i −0.699665 + 0.323700i
\(307\) 4810.97 3657.20i 0.894386 0.679894i −0.0534785 0.998569i \(-0.517031\pi\)
0.947864 + 0.318675i \(0.103238\pi\)
\(308\) 715.476 4364.21i 0.132364 0.807383i
\(309\) −1276.70 + 2408.11i −0.235044 + 0.443341i
\(310\) −9966.66 + 2193.83i −1.82603 + 0.401939i
\(311\) 1781.18 + 824.064i 0.324764 + 0.150252i 0.575496 0.817805i \(-0.304809\pi\)
−0.250732 + 0.968057i \(0.580671\pi\)
\(312\) 42.0914 + 105.641i 0.00763767 + 0.0191691i
\(313\) −261.834 4829.24i −0.0472835 0.872092i −0.921936 0.387342i \(-0.873393\pi\)
0.874653 0.484750i \(-0.161089\pi\)
\(314\) 6592.16 + 9722.72i 1.18477 + 1.74740i
\(315\) −1940.49 2284.52i −0.347093 0.408629i
\(316\) −3618.42 6825.07i −0.644152 1.21500i
\(317\) 2204.48 742.777i 0.390587 0.131604i −0.117154 0.993114i \(-0.537377\pi\)
0.507741 + 0.861510i \(0.330481\pi\)
\(318\) 467.296 8618.76i 0.0824045 1.51986i
\(319\) −2080.52 + 1251.81i −0.365162 + 0.219711i
\(320\) 2306.11 + 8305.87i 0.402861 + 1.45098i
\(321\) −1372.97 + 4944.99i −0.238728 + 0.859821i
\(322\) 5398.08 + 3247.92i 0.934234 + 0.562110i
\(323\) 4855.91 7161.94i 0.836502 1.23375i
\(324\) −634.625 + 69.0196i −0.108818 + 0.0118346i
\(325\) −14012.2 + 1523.92i −2.39156 + 0.260098i
\(326\) 318.330 469.502i 0.0540819 0.0797648i
\(327\) 608.927 + 366.379i 0.102978 + 0.0619597i
\(328\) 44.2514 159.379i 0.00744931 0.0268300i
\(329\) 457.944 + 1649.37i 0.0767395 + 0.276391i
\(330\) −5199.20 + 3128.26i −0.867293 + 0.521833i
\(331\) −121.571 + 2242.24i −0.0201877 + 0.372340i 0.970931 + 0.239360i \(0.0769375\pi\)
−0.991119 + 0.132981i \(0.957545\pi\)
\(332\) 8809.83 2968.38i 1.45633 0.490695i
\(333\) 32.2468 + 60.8238i 0.00530664 + 0.0100094i
\(334\) −6749.40 7946.01i −1.10572 1.30175i
\(335\) 3358.47 + 4953.37i 0.547740 + 0.807855i
\(336\) 202.387 + 3732.82i 0.0328605 + 0.606077i
\(337\) 3905.61 + 9802.34i 0.631312 + 1.58447i 0.800794 + 0.598940i \(0.204411\pi\)
−0.169482 + 0.985533i \(0.554209\pi\)
\(338\) −15190.5 7027.90i −2.44455 1.13097i
\(339\) 4531.74 997.511i 0.726048 0.159815i
\(340\) −7371.64 + 13904.4i −1.17583 + 2.21786i
\(341\) −698.053 + 4257.93i −0.110855 + 0.676188i
\(342\) 2147.35 1632.37i 0.339518 0.258095i
\(343\) −5534.22 + 2560.40i −0.871195 + 0.403058i
\(344\) 47.7123 + 45.1955i 0.00747812 + 0.00708365i
\(345\) −693.954 4232.93i −0.108293 0.660560i
\(346\) −1317.68 443.977i −0.204736 0.0689837i
\(347\) 931.209 2337.16i 0.144063 0.361571i −0.839184 0.543847i \(-0.816967\pi\)
0.983247 + 0.182276i \(0.0583464\pi\)
\(348\) −1425.22 + 1350.04i −0.219540 + 0.207960i
\(349\) 4543.04 + 3453.53i 0.696800 + 0.529693i 0.892543 0.450962i \(-0.148919\pi\)
−0.195743 + 0.980655i \(0.562712\pi\)
\(350\) −13161.2 2897.00i −2.00999 0.442431i
\(351\) −1398.03 + 1645.89i −0.212596 + 0.250287i
\(352\) 7412.96 + 806.207i 1.12248 + 0.122077i
\(353\) 5491.94 0.828064 0.414032 0.910262i \(-0.364120\pi\)
0.414032 + 0.910262i \(0.364120\pi\)
\(354\) −1084.76 5308.30i −0.162865 0.796986i
\(355\) 14574.3 2.17894
\(356\) −4641.83 504.829i −0.691057 0.0751570i
\(357\) −4287.96 + 5048.18i −0.635694 + 0.748397i
\(358\) −15917.4 3503.68i −2.34989 0.517249i
\(359\) −9247.95 7030.11i −1.35958 1.03352i −0.994738 0.102454i \(-0.967331\pi\)
−0.364840 0.931070i \(-0.618876\pi\)
\(360\) 53.7455 50.9104i 0.00786843 0.00745338i
\(361\) 445.265 1117.53i 0.0649168 0.162929i
\(362\) −12056.2 4062.20i −1.75044 0.589791i
\(363\) −230.953 1408.75i −0.0333936 0.203692i
\(364\) −8781.46 8318.24i −1.26449 1.19779i
\(365\) 10209.2 4723.28i 1.46404 0.677337i
\(366\) −1227.84 + 933.382i −0.175356 + 0.133302i
\(367\) −408.944 + 2494.45i −0.0581654 + 0.354794i 0.941668 + 0.336543i \(0.109258\pi\)
−0.999833 + 0.0182503i \(0.994190\pi\)
\(368\) −2505.83 + 4726.49i −0.354960 + 0.669526i
\(369\) 3067.65 675.241i 0.432779 0.0952619i
\(370\) 480.162 + 222.147i 0.0674661 + 0.0312131i
\(371\) −5127.95 12870.2i −0.717600 1.80104i
\(372\) 188.866 + 3483.42i 0.0263232 + 0.485503i
\(373\) 2341.09 + 3452.86i 0.324979 + 0.479309i 0.954724 0.297494i \(-0.0961507\pi\)
−0.629744 + 0.776802i \(0.716840\pi\)
\(374\) 8680.24 + 10219.2i 1.20012 + 1.41289i
\(375\) 1249.35 + 2356.53i 0.172044 + 0.324509i
\(376\) −40.0639 + 13.4991i −0.00549504 + 0.00185150i
\(377\) −359.535 + 6631.23i −0.0491166 + 0.905903i
\(378\) −1769.17 + 1064.48i −0.240732 + 0.144843i
\(379\) −1563.21 5630.18i −0.211865 0.763069i −0.990726 0.135873i \(-0.956616\pi\)
0.778861 0.627196i \(-0.215798\pi\)
\(380\) 2752.06 9912.02i 0.371520 1.33809i
\(381\) 3458.46 + 2080.88i 0.465045 + 0.279808i
\(382\) −6514.81 + 9608.62i −0.872582 + 1.28696i
\(383\) −7662.14 + 833.308i −1.02224 + 0.111175i −0.603854 0.797095i \(-0.706369\pi\)
−0.418384 + 0.908270i \(0.637403\pi\)
\(384\) −180.904 + 19.6745i −0.0240410 + 0.00261461i
\(385\) −5465.55 + 8061.08i −0.723507 + 1.06709i
\(386\) −4212.79 2534.75i −0.555506 0.334237i
\(387\) −333.879 + 1202.52i −0.0438554 + 0.157953i
\(388\) −679.545 2447.50i −0.0889141 0.320240i
\(389\) −2490.92 + 1498.74i −0.324665 + 0.195344i −0.668550 0.743668i \(-0.733085\pi\)
0.343885 + 0.939012i \(0.388257\pi\)
\(390\) −898.475 + 16571.4i −0.116656 + 2.15160i
\(391\) −8982.34 + 3026.50i −1.16178 + 0.391450i
\(392\) 5.60059 + 10.5638i 0.000721614 + 0.00136111i
\(393\) −3794.71 4467.48i −0.487068 0.573421i
\(394\) 12021.5 + 17730.3i 1.53714 + 2.26711i
\(395\) 921.012 + 16987.1i 0.117319 + 2.16383i
\(396\) 767.737 + 1926.87i 0.0974249 + 0.244518i
\(397\) −183.741 85.0076i −0.0232284 0.0107466i 0.408241 0.912874i \(-0.366142\pi\)
−0.431469 + 0.902128i \(0.642005\pi\)
\(398\) −3436.13 + 756.349i −0.432758 + 0.0952572i
\(399\) 2027.97 3825.15i 0.254449 0.479942i
\(400\) 1851.38 11292.9i 0.231422 1.41161i
\(401\) 6654.47 5058.60i 0.828699 0.629961i −0.102393 0.994744i \(-0.532650\pi\)
0.931092 + 0.364783i \(0.118857\pi\)
\(402\) 3741.37 1730.94i 0.464186 0.214755i
\(403\) 8567.61 + 8115.67i 1.05902 + 1.00315i
\(404\) −1193.07 7277.39i −0.146924 0.896197i
\(405\) 1332.24 + 448.882i 0.163455 + 0.0550744i
\(406\) −2350.20 + 5898.56i −0.287287 + 0.721036i
\(407\) 162.395 153.829i 0.0197780 0.0187347i
\(408\) −130.230 98.9984i −0.0158023 0.0120126i
\(409\) −11340.6 2496.25i −1.37104 0.301789i −0.532408 0.846488i \(-0.678713\pi\)
−0.838632 + 0.544699i \(0.816644\pi\)
\(410\) 15627.4 18398.0i 1.88240 2.21613i
\(411\) −2273.62 247.271i −0.272870 0.0296764i
\(412\) 7160.23 0.856212
\(413\) −5157.77 7001.70i −0.614521 0.834216i
\(414\) −2954.71 −0.350764
\(415\) −20352.9 2213.51i −2.40743 0.261824i
\(416\) 13203.1 15543.9i 1.55609 1.83198i
\(417\) −4882.54 1074.73i −0.573379 0.126210i
\(418\) −6977.19 5303.92i −0.816425 0.620630i
\(419\) −2498.90 + 2367.08i −0.291358 + 0.275989i −0.819391 0.573235i \(-0.805688\pi\)
0.528033 + 0.849224i \(0.322930\pi\)
\(420\) −2914.58 + 7315.04i −0.338611 + 0.849851i
\(421\) −7594.78 2558.98i −0.879208 0.296240i −0.156737 0.987640i \(-0.550097\pi\)
−0.722472 + 0.691401i \(0.756994\pi\)
\(422\) −1027.00 6264.41i −0.118468 0.722623i
\(423\) −582.855 552.110i −0.0669962 0.0634622i
\(424\) 310.544 143.673i 0.0355692 0.0164561i
\(425\) 16141.4 12270.4i 1.84229 1.40047i
\(426\) 1624.18 9907.05i 0.184722 1.12676i
\(427\) −1159.58 + 2187.20i −0.131419 + 0.247883i
\(428\) 13166.8 2898.24i 1.48702 0.327317i
\(429\) 6368.15 + 2946.22i 0.716684 + 0.331573i
\(430\) 3549.99 + 8909.81i 0.398130 + 0.999230i
\(431\) 106.682 + 1967.63i 0.0119227 + 0.219901i 0.998423 + 0.0561408i \(0.0178796\pi\)
−0.986500 + 0.163760i \(0.947638\pi\)
\(432\) −983.933 1451.19i −0.109582 0.161622i
\(433\) −1999.55 2354.05i −0.221922 0.261267i 0.639923 0.768439i \(-0.278966\pi\)
−0.861844 + 0.507173i \(0.830691\pi\)
\(434\) 5285.19 + 9968.92i 0.584556 + 1.10259i
\(435\) 4096.94 1380.42i 0.451571 0.152152i
\(436\) 101.072 1864.16i 0.0111020 0.204764i
\(437\) 5308.81 3194.20i 0.581132 0.349656i
\(438\) −2072.97 7466.18i −0.226143 0.814493i
\(439\) 7.83512 28.2196i 0.000851822 0.00306799i −0.963123 0.269062i \(-0.913286\pi\)
0.963975 + 0.265994i \(0.0857001\pi\)
\(440\) −206.108 124.011i −0.0223314 0.0134364i
\(441\) −127.421 + 187.932i −0.0137589 + 0.0202928i
\(442\) 36457.1 3964.95i 3.92328 0.426682i
\(443\) 3469.27 377.305i 0.372076 0.0404657i 0.0798291 0.996809i \(-0.474563\pi\)
0.292247 + 0.956343i \(0.405597\pi\)
\(444\) 101.492 149.690i 0.0108482 0.0159999i
\(445\) 8810.73 + 5301.24i 0.938581 + 0.564726i
\(446\) 1894.22 6822.36i 0.201107 0.724323i
\(447\) 1189.92 + 4285.69i 0.125909 + 0.453482i
\(448\) 8166.42 4913.57i 0.861221 0.518179i
\(449\) 611.354 11275.8i 0.0642574 1.18516i −0.771562 0.636154i \(-0.780524\pi\)
0.835820 0.549004i \(-0.184993\pi\)
\(450\) 5989.66 2018.15i 0.627457 0.211415i
\(451\) −4780.61 9017.18i −0.499135 0.941469i
\(452\) −7891.62 9290.74i −0.821219 0.966813i
\(453\) −2078.08 3064.94i −0.215534 0.317889i
\(454\) 408.442 + 7533.28i 0.0422228 + 0.778754i
\(455\) 9859.56 + 24745.6i 1.01588 + 2.54966i
\(456\) 97.0463 + 44.8984i 0.00996625 + 0.00461088i
\(457\) 97.3952 21.4383i 0.00996926 0.00219440i −0.209983 0.977705i \(-0.567341\pi\)
0.219952 + 0.975511i \(0.429410\pi\)
\(458\) −7270.15 + 13713.0i −0.741729 + 1.39905i
\(459\) 502.575 3065.57i 0.0511072 0.311740i
\(460\) −8970.74 + 6819.38i −0.909267 + 0.691207i
\(461\) −14907.0 + 6896.73i −1.50605 + 0.696774i −0.987405 0.158214i \(-0.949426\pi\)
−0.518648 + 0.854988i \(0.673564\pi\)
\(462\) 4870.51 + 4613.59i 0.490469 + 0.464597i
\(463\) −230.113 1403.63i −0.0230978 0.140890i 0.972760 0.231814i \(-0.0744662\pi\)
−0.995858 + 0.0909242i \(0.971018\pi\)
\(464\) −5109.59 1721.62i −0.511221 0.172251i
\(465\) 2843.60 7136.90i 0.283589 0.711755i
\(466\) 10795.5 10226.1i 1.07316 1.01655i
\(467\) −675.145 513.232i −0.0668994 0.0508556i 0.571190 0.820818i \(-0.306482\pi\)
−0.638089 + 0.769962i \(0.720275\pi\)
\(468\) 5540.42 + 1219.54i 0.547235 + 0.120455i
\(469\) 4283.60 5043.05i 0.421745 0.496517i
\(470\) −6133.63 667.072i −0.601964 0.0654675i
\(471\) −8843.04 −0.865108
\(472\) 165.777 136.562i 0.0161664 0.0133173i
\(473\) 4055.07 0.394190
\(474\) 11649.8 + 1266.99i 1.12888 + 0.122774i
\(475\) −8580.06 + 10101.2i −0.828800 + 0.975739i
\(476\) 16993.3 + 3740.50i 1.63631 + 0.360180i
\(477\) 5172.82 + 3932.28i 0.496535 + 0.377456i
\(478\) −9240.54 + 8753.10i −0.884210 + 0.837568i
\(479\) −75.7179 + 190.038i −0.00722263 + 0.0181274i −0.932544 0.361057i \(-0.882416\pi\)
0.925321 + 0.379184i \(0.123795\pi\)
\(480\) −12581.7 4239.28i −1.19641 0.403117i
\(481\) −98.9778 603.738i −0.00938253 0.0572309i
\(482\) 17775.5 + 16837.9i 1.67978 + 1.59117i
\(483\) −4304.23 + 1991.35i −0.405485 + 0.187597i
\(484\) −2985.52 + 2269.54i −0.280384 + 0.213142i
\(485\) −904.981 + 5520.14i −0.0847280 + 0.516818i
\(486\) 453.598 855.576i 0.0423367 0.0798554i
\(487\) 128.859 28.3639i 0.0119900 0.00263920i −0.208971 0.977922i \(-0.567012\pi\)
0.220961 + 0.975283i \(0.429081\pi\)
\(488\) −55.4906 25.6727i −0.00514743 0.00238145i
\(489\) 158.058 + 396.695i 0.0146168 + 0.0366854i
\(490\) 94.4683 + 1742.36i 0.00870947 + 0.160637i
\(491\) −1980.03 2920.33i −0.181991 0.268417i 0.725740 0.687969i \(-0.241497\pi\)
−0.907731 + 0.419552i \(0.862187\pi\)
\(492\) −5342.05 6289.15i −0.489508 0.576294i
\(493\) −4474.81 8440.39i −0.408794 0.771067i
\(494\) −22716.1 + 7653.95i −2.06892 + 0.697100i
\(495\) 247.297 4561.13i 0.0224549 0.414157i
\(496\) −8209.93 + 4939.75i −0.743220 + 0.447180i
\(497\) −4310.93 15526.6i −0.389078 1.40133i
\(498\) −3772.80 + 13588.4i −0.339484 + 1.22271i
\(499\) 18610.7 + 11197.7i 1.66959 + 1.00456i 0.951028 + 0.309103i \(0.100029\pi\)
0.718566 + 0.695458i \(0.244799\pi\)
\(500\) 3932.17 5799.52i 0.351704 0.518725i
\(501\) 7802.42 848.565i 0.695782 0.0756708i
\(502\) 4856.49 528.175i 0.431785 0.0469594i
\(503\) 1946.02 2870.17i 0.172503 0.254422i −0.731603 0.681730i \(-0.761228\pi\)
0.904106 + 0.427308i \(0.140538\pi\)
\(504\) −70.1340 42.1982i −0.00619845 0.00372948i
\(505\) −4344.76 + 15648.4i −0.382850 + 1.37890i
\(506\) 2568.40 + 9250.55i 0.225651 + 0.812722i
\(507\) 10796.4 6496.00i 0.945733 0.569029i
\(508\) 574.047 10587.7i 0.0501363 0.924709i
\(509\) −13653.9 + 4600.55i −1.18900 + 0.400620i −0.843154 0.537672i \(-0.819304\pi\)
−0.345844 + 0.938292i \(0.612407\pi\)
\(510\) −11182.5 21092.5i −0.970922 1.83135i
\(511\) −8051.65 9479.14i −0.697034 0.820611i
\(512\) 9154.18 + 13501.4i 0.790159 + 1.16540i
\(513\) 109.933 + 2027.60i 0.00946135 + 0.174504i
\(514\) 9751.43 + 24474.2i 0.836804 + 2.10022i
\(515\) −14311.0 6620.99i −1.22450 0.566516i
\(516\) 3201.91 704.794i 0.273171 0.0601295i
\(517\) −1221.88 + 2304.72i −0.103943 + 0.196057i
\(518\) 94.6341 577.243i 0.00802700 0.0489625i
\(519\) 833.307 633.463i 0.0704781 0.0535760i
\(520\) −597.086 + 276.241i −0.0503538 + 0.0232961i
\(521\) 4289.79 + 4063.51i 0.360728 + 0.341700i 0.846503 0.532384i \(-0.178704\pi\)
−0.485775 + 0.874084i \(0.661462\pi\)
\(522\) −481.787 2938.77i −0.0403970 0.246411i
\(523\) 13336.5 + 4493.60i 1.11504 + 0.375701i 0.815717 0.578451i \(-0.196343\pi\)
0.299323 + 0.954152i \(0.403239\pi\)
\(524\) −5699.58 + 14304.9i −0.475167 + 1.19258i
\(525\) 7365.20 6976.69i 0.612274 0.579976i
\(526\) −8875.68 6747.11i −0.735738 0.559293i
\(527\) −16579.5 3649.42i −1.37042 0.301653i
\(528\) −3688.07 + 4341.94i −0.303983 + 0.357876i
\(529\) 5348.66 + 581.702i 0.439604 + 0.0478098i
\(530\) 49935.3 4.09255
\(531\) 3765.80 + 1566.66i 0.307763 + 0.128036i
\(532\) −11373.7 −0.926899
\(533\) −27750.6 3018.06i −2.25519 0.245266i
\(534\) 4585.45 5398.40i 0.371595 0.437475i
\(535\) −28996.3 6382.57i −2.34321 0.515780i
\(536\) 130.098 + 98.8978i 0.0104839 + 0.00796966i
\(537\) 8907.61 8437.73i 0.715813 0.678054i
\(538\) 9667.92 24264.7i 0.774747 1.94447i
\(539\) 699.134 + 235.566i 0.0558698 + 0.0188247i
\(540\) −597.483 3644.49i −0.0476140 0.290433i
\(541\) −6871.72 6509.23i −0.546096 0.517290i 0.364159 0.931337i \(-0.381356\pi\)
−0.910256 + 0.414047i \(0.864115\pi\)
\(542\) −9480.97 + 4386.36i −0.751370 + 0.347621i
\(543\) 7624.39 5795.91i 0.602567 0.458060i
\(544\) −4746.37 + 28951.6i −0.374079 + 2.28178i
\(545\) −1925.78 + 3632.41i −0.151360 + 0.285496i
\(546\) 17919.8 3944.46i 1.40458 0.309171i
\(547\) 7024.31 + 3249.79i 0.549063 + 0.254024i 0.674750 0.738046i \(-0.264251\pi\)
−0.125687 + 0.992070i \(0.540113\pi\)
\(548\) 2223.82 + 5581.36i 0.173352 + 0.435080i
\(549\) −62.8594 1159.37i −0.00488665 0.0901290i
\(550\) −11525.0 16998.0i −0.893501 1.31782i
\(551\) 4042.61 + 4759.33i 0.312561 + 0.367975i
\(552\) −54.8653 103.487i −0.00423047 0.00797952i
\(553\) 17824.5 6005.77i 1.37066 0.461829i
\(554\) 1396.15 25750.5i 0.107070 1.97479i
\(555\) −341.268 + 205.334i −0.0261009 + 0.0157044i
\(556\) 3513.61 + 12654.9i 0.268004 + 0.965264i
\(557\) −2950.99 + 10628.5i −0.224484 + 0.808517i 0.762403 + 0.647102i \(0.224019\pi\)
−0.986887 + 0.161414i \(0.948394\pi\)
\(558\) −4534.49 2728.31i −0.344015 0.206987i
\(559\) 6224.05 9179.79i 0.470929 0.694569i
\(560\) −21500.4 + 2338.31i −1.62242 + 0.176449i
\(561\) −10034.5 + 1091.32i −0.755182 + 0.0821310i
\(562\) −5910.98 + 8718.04i −0.443665 + 0.654356i
\(563\) −552.326 332.324i −0.0413460 0.0248770i 0.494731 0.869046i \(-0.335267\pi\)
−0.536077 + 0.844169i \(0.680094\pi\)
\(564\) −564.236 + 2032.19i −0.0421252 + 0.151721i
\(565\) 7181.81 + 25866.5i 0.534763 + 1.92604i
\(566\) 24807.1 14925.9i 1.84226 1.10845i
\(567\) 84.1498 1552.05i 0.00623273 0.114956i
\(568\) 377.147 127.076i 0.0278605 0.00938728i
\(569\) 3128.42 + 5900.82i 0.230492 + 0.434755i 0.971599 0.236632i \(-0.0760437\pi\)
−0.741107 + 0.671387i \(0.765699\pi\)
\(570\) 10102.5 + 11893.5i 0.742360 + 0.873974i
\(571\) −10786.6 15909.0i −0.790549 1.16597i −0.982808 0.184628i \(-0.940892\pi\)
0.192260 0.981344i \(-0.438418\pi\)
\(572\) −997.940 18405.9i −0.0729475 1.34544i
\(573\) −3234.74 8118.58i −0.235834 0.591900i
\(574\) −24222.5 11206.5i −1.76137 0.814898i
\(575\) 14178.5 3120.92i 1.02832 0.226350i
\(576\) −2093.78 + 3949.29i −0.151460 + 0.285684i
\(577\) −1764.03 + 10760.1i −0.127275 + 0.776342i 0.843639 + 0.536911i \(0.180409\pi\)
−0.970913 + 0.239431i \(0.923039\pi\)
\(578\) −26410.4 + 20076.7i −1.90057 + 1.44478i
\(579\) 3359.12 1554.09i 0.241106 0.111547i
\(580\) −8245.33 7810.39i −0.590291 0.559153i
\(581\) 3662.03 + 22337.4i 0.261491 + 1.59503i
\(582\) 3651.52 + 1230.34i 0.260069 + 0.0876275i
\(583\) 7814.58 19613.1i 0.555140 1.39330i
\(584\) 223.006 211.242i 0.0158014 0.0149679i
\(585\) −9945.84 7560.63i −0.702923 0.534348i
\(586\) 12083.2 + 2659.71i 0.851796 + 0.187494i
\(587\) −10164.4 + 11966.5i −0.714701 + 0.841411i −0.992880 0.119118i \(-0.961993\pi\)
0.278179 + 0.960529i \(0.410269\pi\)
\(588\) 592.985 + 64.4910i 0.0415889 + 0.00452307i
\(589\) 11096.7 0.776283
\(590\) 30325.3 7929.05i 2.11605 0.553278i
\(591\) −16126.1 −1.12240
\(592\) 493.810 + 53.7050i 0.0342829 + 0.00372849i
\(593\) −17216.6 + 20268.9i −1.19224 + 1.40362i −0.298874 + 0.954293i \(0.596611\pi\)
−0.893369 + 0.449324i \(0.851665\pi\)
\(594\) −3072.91 676.399i −0.212261 0.0467222i
\(595\) −30505.4 23189.6i −2.10185 1.59778i
\(596\) 8482.91 8035.44i 0.583009 0.552256i
\(597\) 980.367 2460.54i 0.0672090 0.168682i
\(598\) 24883.5 + 8384.21i 1.70161 + 0.573338i
\(599\) 3197.36 + 19503.0i 0.218098 + 1.33034i 0.838005 + 0.545663i \(0.183722\pi\)
−0.619907 + 0.784675i \(0.712830\pi\)
\(600\) 181.905 + 172.310i 0.0123771 + 0.0117242i
\(601\) −5524.30 + 2555.81i −0.374943 + 0.173467i −0.598305 0.801268i \(-0.704159\pi\)
0.223362 + 0.974736i \(0.428297\pi\)
\(602\) 8441.89 6417.35i 0.571537 0.434471i
\(603\) −502.065 + 3062.46i −0.0339066 + 0.206821i
\(604\) −4556.63 + 8594.72i −0.306965 + 0.578997i
\(605\) 8065.73 1775.40i 0.542014 0.119306i
\(606\) 10153.0 + 4697.27i 0.680588 + 0.314874i
\(607\) 2806.25 + 7043.14i 0.187647 + 0.470960i 0.992460 0.122570i \(-0.0391135\pi\)
−0.804812 + 0.593529i \(0.797734\pi\)
\(608\) −1038.22 19148.8i −0.0692523 1.27728i
\(609\) −2682.44 3956.30i −0.178486 0.263247i
\(610\) −5776.54 6800.67i −0.383418 0.451395i
\(611\) 3341.93 + 6303.55i 0.221277 + 0.417372i
\(612\) −7733.65 + 2605.77i −0.510808 + 0.172111i
\(613\) 301.300 5557.14i 0.0198522 0.366152i −0.971681 0.236297i \(-0.924066\pi\)
0.991533 0.129855i \(-0.0414511\pi\)
\(614\) 20635.6 12416.0i 1.35633 0.816075i
\(615\) 4861.55 + 17509.7i 0.318759 + 1.14807i
\(616\) −71.1489 + 256.255i −0.00465369 + 0.0167611i
\(617\) 808.840 + 486.663i 0.0527758 + 0.0317542i 0.541697 0.840574i \(-0.317782\pi\)
−0.488921 + 0.872328i \(0.662610\pi\)
\(618\) −6095.52 + 8990.22i −0.396760 + 0.585177i
\(619\) 12315.5 1339.39i 0.799677 0.0869701i 0.300850 0.953672i \(-0.402730\pi\)
0.498827 + 0.866701i \(0.333764\pi\)
\(620\) −20063.9 + 2182.08i −1.29966 + 0.141346i
\(621\) 1248.26 1841.04i 0.0806616 0.118967i
\(622\) 6701.54 + 4032.18i 0.432005 + 0.259929i
\(623\) 3041.48 10954.4i 0.195593 0.704462i
\(624\) 4168.44 + 15013.4i 0.267422 + 0.963166i
\(625\) 5653.19 3401.41i 0.361804 0.217690i
\(626\) 1043.44 19245.0i 0.0666199 1.22873i
\(627\) 6252.41 2106.68i 0.398241 0.134183i
\(628\) 10881.5 + 20524.8i 0.691435 + 1.30418i
\(629\) 569.757 + 670.770i 0.0361172 + 0.0425204i
\(630\) −6703.40 9886.78i −0.423920 0.625236i
\(631\) −925.943 17078.0i −0.0584171 1.07744i −0.869952 0.493136i \(-0.835850\pi\)
0.811535 0.584304i \(-0.198632\pi\)
\(632\) 171.946 + 431.552i 0.0108222 + 0.0271617i
\(633\) 4337.14 + 2006.57i 0.272332 + 0.125994i
\(634\) 9053.65 1992.86i 0.567139 0.124837i
\(635\) −10937.6 + 20630.6i −0.683539 + 1.28929i
\(636\) 2761.58 16844.9i 0.172176 1.05023i
\(637\) 1606.36 1221.12i 0.0999156 0.0759539i
\(638\) −8781.85 + 4062.92i −0.544948 + 0.252120i
\(639\) 5486.80 + 5197.37i 0.339678 + 0.321760i
\(640\) −170.317 1038.89i −0.0105193 0.0641650i
\(641\) −4850.86 1634.45i −0.298904 0.100712i 0.165854 0.986150i \(-0.446962\pi\)
−0.464758 + 0.885438i \(0.653859\pi\)
\(642\) −7569.99 + 18999.2i −0.465364 + 1.16798i
\(643\) 5290.84 5011.75i 0.324495 0.307378i −0.508058 0.861323i \(-0.669637\pi\)
0.832554 + 0.553944i \(0.186878\pi\)
\(644\) 9918.37 + 7539.75i 0.606892 + 0.461348i
\(645\) −7051.32 1552.11i −0.430458 0.0947510i
\(646\) 22323.7 26281.5i 1.35962 1.60067i
\(647\) −24102.9 2621.34i −1.46458 0.159282i −0.659165 0.751998i \(-0.729090\pi\)
−0.805412 + 0.592716i \(0.798056\pi\)
\(648\) 38.3888 0.00232724
\(649\) 1631.43 13151.7i 0.0986735 0.795455i
\(650\) −56169.3 −3.38945
\(651\) −8444.30 918.373i −0.508385 0.0552901i
\(652\) 726.239 854.994i 0.0436222 0.0513561i
\(653\) −4017.20 884.253i −0.240743 0.0529916i 0.0929598 0.995670i \(-0.470367\pi\)
−0.333703 + 0.942678i \(0.608298\pi\)
\(654\) 2254.55 + 1713.87i 0.134801 + 0.102473i
\(655\) 24619.2 23320.6i 1.46863 1.39116i
\(656\) 8388.72 21054.1i 0.499275 1.25309i
\(657\) 5527.83 + 1862.54i 0.328252 + 0.110601i
\(658\) 1103.60 + 6731.68i 0.0653844 + 0.398827i
\(659\) −8508.94 8060.09i −0.502976 0.476444i 0.393633 0.919268i \(-0.371218\pi\)
−0.896609 + 0.442824i \(0.853977\pi\)
\(660\) −10890.7 + 5038.58i −0.642304 + 0.297162i
\(661\) −14360.0 + 10916.2i −0.844991 + 0.642346i −0.935413 0.353558i \(-0.884972\pi\)
0.0904213 + 0.995904i \(0.471179\pi\)
\(662\) −1447.74 + 8830.80i −0.0849968 + 0.518458i
\(663\) −12931.3 + 24391.0i −0.757481 + 1.42876i
\(664\) −545.981 + 120.180i −0.0319099 + 0.00702390i
\(665\) 22732.3 + 10517.1i 1.32560 + 0.613286i
\(666\) 101.547 + 254.863i 0.00590818 + 0.0148284i
\(667\) −370.326 6830.27i −0.0214979 0.396505i
\(668\) −11570.6 17065.3i −0.670178 0.988438i
\(669\) 3450.68 + 4062.46i 0.199419 + 0.234774i
\(670\) 11171.2 + 21071.0i 0.644149 + 1.21499i
\(671\) −3575.10 + 1204.59i −0.205686 + 0.0693036i
\(672\) −794.718 + 14657.7i −0.0456204 + 0.841419i
\(673\) −21442.7 + 12901.7i −1.22817 + 0.738964i −0.973638 0.228101i \(-0.926748\pi\)
−0.254530 + 0.967065i \(0.581921\pi\)
\(674\) 11249.5 + 40517.2i 0.642902 + 2.31552i
\(675\) −1272.93 + 4584.68i −0.0725853 + 0.261429i
\(676\) −28362.5 17065.2i −1.61371 0.970935i
\(677\) −2721.22 + 4013.50i −0.154483 + 0.227845i −0.897053 0.441923i \(-0.854296\pi\)
0.742570 + 0.669769i \(0.233607\pi\)
\(678\) 18383.4 1999.31i 1.04131 0.113249i
\(679\) 6148.49 668.688i 0.347507 0.0377937i
\(680\) 531.105 783.322i 0.0299514 0.0441750i
\(681\) −4866.44 2928.04i −0.273836 0.164762i
\(682\) −4600.11 + 16568.1i −0.258280 + 0.930241i
\(683\) −6195.33 22313.6i −0.347083 1.25008i −0.906858 0.421436i \(-0.861526\pi\)
0.559775 0.828644i \(-0.310887\pi\)
\(684\) 4570.80 2750.16i 0.255510 0.153735i
\(685\) 716.318 13211.7i 0.0399549 0.736925i
\(686\) −23028.4 + 7759.16i −1.28167 + 0.431846i
\(687\) −5472.99 10323.2i −0.303941 0.573294i
\(688\) 5829.54 + 6863.07i 0.323037 + 0.380308i
\(689\) −32405.4 47794.4i −1.79180 2.64270i
\(690\) −925.443 17068.8i −0.0510594 0.941736i
\(691\) 9432.97 + 23675.0i 0.519316 + 1.30338i 0.921696 + 0.387912i \(0.126803\pi\)
−0.402381 + 0.915472i \(0.631817\pi\)
\(692\) −2495.67 1154.62i −0.137097 0.0634280i
\(693\) −4932.28 + 1085.68i −0.270363 + 0.0595115i
\(694\) 4696.21 8858.00i 0.256867 0.484503i
\(695\) 4679.24 28542.1i 0.255387 1.55779i
\(696\) 93.9824 71.4436i 0.00511838 0.00389089i
\(697\) 36444.1 16860.9i 1.98052 0.916285i
\(698\) 16510.3 + 15639.4i 0.895309 + 0.848082i
\(699\) 1811.01 + 11046.7i 0.0979954 + 0.597745i
\(700\) −25256.0 8509.73i −1.36369 0.459482i
\(701\) −11714.2 + 29400.5i −0.631155 + 1.58408i 0.169881 + 0.985465i \(0.445662\pi\)
−0.801037 + 0.598615i \(0.795718\pi\)
\(702\) −6247.79 + 5918.22i −0.335908 + 0.318189i
\(703\) −457.972 348.141i −0.0245700 0.0186777i
\(704\) 14184.4 + 3122.22i 0.759368 + 0.167149i
\(705\) 3006.88 3539.97i 0.160632 0.189110i
\(706\) 21757.7 + 2366.29i 1.15986 + 0.126142i
\(707\) 17955.9 0.955166
\(708\) −997.661 10668.3i −0.0529582 0.566297i
\(709\) 28221.5 1.49490 0.747449 0.664319i \(-0.231278\pi\)
0.747449 + 0.664319i \(0.231278\pi\)
\(710\) 57739.8 + 6279.58i 3.05202 + 0.331928i
\(711\) −5711.04 + 6723.56i −0.301239 + 0.354646i
\(712\) 274.222 + 60.3608i 0.0144338 + 0.00317713i
\(713\) −9676.84 7356.14i −0.508276 0.386381i
\(714\) −19162.9 + 18152.1i −1.00442 + 0.951434i
\(715\) −15025.2 + 37710.4i −0.785888 + 1.97243i
\(716\) −30545.0 10291.8i −1.59430 0.537184i
\(717\) −1550.15 9455.52i −0.0807414 0.492501i
\(718\) −33609.0 31836.1i −1.74690 1.65476i
\(719\) 15873.8 7344.01i 0.823357 0.380925i 0.0374713 0.999298i \(-0.488070\pi\)
0.785885 + 0.618372i \(0.212208\pi\)
\(720\) 8075.08 6138.52i 0.417973 0.317735i
\(721\) −2820.53 + 17204.5i −0.145689 + 0.888666i
\(722\) 2245.53 4235.52i 0.115748 0.218324i
\(723\) −18001.0 + 3962.31i −0.925952 + 0.203817i
\(724\) −22834.3 10564.3i −1.17214 0.542291i
\(725\) 5415.98 + 13593.1i 0.277441 + 0.696323i
\(726\) −307.994 5680.61i −0.0157448 0.290396i
\(727\) −18934.9 27926.9i −0.965965 1.42469i −0.904447 0.426586i \(-0.859716\pi\)
−0.0615178 0.998106i \(-0.519594\pi\)
\(728\) 470.901 + 554.388i 0.0239736 + 0.0282239i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 42481.4 14313.6i 2.15384 0.725715i
\(731\) −863.762 + 15931.1i −0.0437037 + 0.806067i
\(732\) −2613.56 + 1572.53i −0.131967 + 0.0794021i
\(733\) 792.929 + 2855.87i 0.0399557 + 0.143907i 0.980837 0.194828i \(-0.0624148\pi\)
−0.940882 + 0.338735i \(0.890001\pi\)
\(734\) −2694.91 + 9706.18i −0.135519 + 0.488095i
\(735\) −1125.55 677.223i −0.0564853 0.0339861i
\(736\) −11788.7 + 17387.0i −0.590401 + 0.870777i
\(737\) 10024.3 1090.21i 0.501018 0.0544890i
\(738\) 12444.2 1353.39i 0.620701 0.0675053i
\(739\) −20744.1 + 30595.3i −1.03259 + 1.52296i −0.191921 + 0.981410i \(0.561472\pi\)
−0.840670 + 0.541548i \(0.817838\pi\)
\(740\) 896.518 + 539.417i 0.0445360 + 0.0267964i
\(741\) 4827.65 17387.6i 0.239336 0.862011i
\(742\) −14770.3 53197.8i −0.730775 2.63201i
\(743\) 26472.7 15928.1i 1.30712 0.786467i 0.320147 0.947368i \(-0.396268\pi\)
0.986971 + 0.160901i \(0.0514400\pi\)
\(744\) 11.3576 209.479i 0.000559664 0.0103224i
\(745\) −24384.9 + 8216.24i −1.19919 + 0.404053i
\(746\) 7787.10 + 14688.0i 0.382180 + 0.720868i
\(747\) −6872.88 8091.38i −0.336634 0.396316i
\(748\) 14880.6 + 21947.3i 0.727392 + 1.07282i
\(749\) 1777.21 + 32778.7i 0.0866993 + 1.59907i
\(750\) 3934.27 + 9874.28i 0.191546 + 0.480743i
\(751\) −3720.59 1721.33i −0.180780 0.0836379i 0.327411 0.944882i \(-0.393824\pi\)
−0.508192 + 0.861244i \(0.669686\pi\)
\(752\) −5657.23 + 1245.25i −0.274333 + 0.0603852i
\(753\) −1722.59 + 3249.15i −0.0833661 + 0.157245i
\(754\) −4281.55 + 26116.3i −0.206797 + 1.26141i
\(755\) 17054.7 12964.6i 0.822098 0.624943i
\(756\) −3705.87 + 1714.52i −0.178282 + 0.0824821i
\(757\) −1103.50 1045.29i −0.0529819 0.0501871i 0.660751 0.750606i \(-0.270238\pi\)
−0.713732 + 0.700418i \(0.752997\pi\)
\(758\) −3767.20 22978.9i −0.180516 1.10110i
\(759\) −6848.95 2307.68i −0.327538 0.110360i
\(760\) −228.974 + 574.680i −0.0109286 + 0.0274287i
\(761\) 26943.2 25521.9i 1.28343 1.21573i 0.320106 0.947382i \(-0.396282\pi\)
0.963323 0.268346i \(-0.0864770\pi\)
\(762\) 12804.9 + 9734.06i 0.608759 + 0.462766i
\(763\) 4439.36 + 977.177i 0.210636 + 0.0463646i
\(764\) −14862.9 + 17497.9i −0.703822 + 0.828603i
\(765\) 17866.6 + 1943.11i 0.844405 + 0.0918346i
\(766\) −30714.5 −1.44877
\(767\) −27268.6 23879.6i −1.28372 1.12417i
\(768\) −12645.2 −0.594131
\(769\) 3234.02 + 351.721i 0.151654 + 0.0164933i 0.183631 0.982995i \(-0.441215\pi\)
−0.0319772 + 0.999489i \(0.510180\pi\)
\(770\) −25126.3 + 29581.0i −1.17596 + 1.38445i
\(771\) −19369.2 4263.48i −0.904753 0.199151i