Properties

Label 45.4.j.a.4.6
Level $45$
Weight $4$
Character 45.4
Analytic conductor $2.655$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.j (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 45.4
Dual form 45.4.j.a.34.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.13376 + 1.23192i) q^{2} +(1.50557 - 4.97325i) q^{3} +(-0.964722 + 1.67095i) q^{4} +(-9.64354 - 5.65704i) q^{5} +(2.91415 + 12.4665i) q^{6} +(-16.6624 + 9.62007i) q^{7} -24.4647i q^{8} +(-22.4665 - 14.9752i) q^{9} +O(q^{10})\) \(q+(-2.13376 + 1.23192i) q^{2} +(1.50557 - 4.97325i) q^{3} +(-0.964722 + 1.67095i) q^{4} +(-9.64354 - 5.65704i) q^{5} +(2.91415 + 12.4665i) q^{6} +(-16.6624 + 9.62007i) q^{7} -24.4647i q^{8} +(-22.4665 - 14.9752i) q^{9} +(27.5460 + 0.190629i) q^{10} +(-19.9274 - 34.5153i) q^{11} +(6.85759 + 7.31354i) q^{12} +(0.873903 + 0.504548i) q^{13} +(23.7024 - 41.0538i) q^{14} +(-42.6529 + 39.4427i) q^{15} +(22.4208 + 38.8340i) q^{16} +52.6170i q^{17} +(66.3864 + 4.27635i) q^{18} +49.5371 q^{19} +(18.7560 - 10.6564i) q^{20} +(22.7565 + 97.3503i) q^{21} +(85.0405 + 49.0982i) q^{22} +(23.7307 + 13.7009i) q^{23} +(-121.669 - 36.8333i) q^{24} +(60.9958 + 109.108i) q^{25} -2.48626 q^{26} +(-108.300 + 89.1854i) q^{27} -37.1228i q^{28} +(-127.477 - 220.796i) q^{29} +(42.4206 - 136.706i) q^{30} +(84.3282 - 146.061i) q^{31} +(73.8149 + 42.6170i) q^{32} +(-201.656 + 47.1388i) q^{33} +(-64.8202 - 112.272i) q^{34} +(215.106 + 1.48861i) q^{35} +(46.6967 - 23.0935i) q^{36} -419.938i q^{37} +(-105.700 + 61.0260i) q^{38} +(3.82497 - 3.58651i) q^{39} +(-138.398 + 235.926i) q^{40} +(-199.285 + 345.172i) q^{41} +(-168.485 - 179.687i) q^{42} +(-310.754 + 179.414i) q^{43} +76.8977 q^{44} +(131.941 + 271.508i) q^{45} -67.5141 q^{46} +(122.371 - 70.6510i) q^{47} +(226.888 - 53.0371i) q^{48} +(13.5915 - 23.5411i) q^{49} +(-264.563 - 157.667i) q^{50} +(261.678 + 79.2187i) q^{51} +(-1.68615 + 0.973497i) q^{52} -290.878i q^{53} +(121.217 - 323.718i) q^{54} +(-3.08358 + 445.580i) q^{55} +(235.352 + 407.641i) q^{56} +(74.5817 - 246.361i) q^{57} +(544.008 + 314.083i) q^{58} +(14.3659 - 24.8825i) q^{59} +(-24.7584 - 109.322i) q^{60} +(-366.364 - 634.561i) q^{61} +415.544i q^{62} +(518.409 + 33.3939i) q^{63} -568.737 q^{64} +(-5.57327 - 9.80933i) q^{65} +(372.212 - 349.007i) q^{66} +(152.893 + 88.2730i) q^{67} +(-87.9203 - 50.7608i) q^{68} +(103.866 - 97.3911i) q^{69} +(-460.818 + 261.818i) q^{70} -802.814 q^{71} +(-366.363 + 549.635i) q^{72} -512.820i q^{73} +(517.332 + 896.046i) q^{74} +(634.454 - 139.078i) q^{75} +(-47.7895 + 82.7739i) q^{76} +(664.079 + 383.406i) q^{77} +(-3.74324 + 12.3648i) q^{78} +(306.174 + 530.309i) q^{79} +(3.46941 - 501.333i) q^{80} +(280.488 + 672.880i) q^{81} -982.017i q^{82} +(-69.9889 + 40.4081i) q^{83} +(-184.621 - 55.8910i) q^{84} +(297.657 - 507.414i) q^{85} +(442.049 - 765.651i) q^{86} +(-1290.00 + 301.549i) q^{87} +(-844.405 + 487.518i) q^{88} -24.0097 q^{89} +(-616.008 - 416.789i) q^{90} -19.4151 q^{91} +(-45.7871 + 26.4352i) q^{92} +(-599.435 - 639.290i) q^{93} +(-174.073 + 301.504i) q^{94} +(-477.713 - 280.233i) q^{95} +(323.079 - 302.937i) q^{96} +(1184.65 - 683.960i) q^{97} +66.9747i q^{98} +(-69.1736 + 1073.86i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 54 q^{4} + 3 q^{5} - 12 q^{6} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 54 q^{4} + 3 q^{5} - 12 q^{6} - 18 q^{9} - 20 q^{10} + 90 q^{11} - 102 q^{14} - 87 q^{15} - 146 q^{16} - 8 q^{19} - 6 q^{20} + 30 q^{21} + 462 q^{24} + 71 q^{25} - 936 q^{26} - 516 q^{29} - 66 q^{30} - 38 q^{31} + 212 q^{34} - 534 q^{35} + 864 q^{36} + 330 q^{39} + 44 q^{40} + 576 q^{41} + 3288 q^{44} + 1053 q^{45} - 580 q^{46} - 4 q^{49} + 558 q^{50} + 1260 q^{51} - 3726 q^{54} + 30 q^{55} + 2430 q^{56} - 2202 q^{59} - 5052 q^{60} - 20 q^{61} + 644 q^{64} + 339 q^{65} - 5052 q^{66} + 1452 q^{69} + 636 q^{70} - 5904 q^{71} - 4080 q^{74} + 2283 q^{75} + 396 q^{76} - 218 q^{79} + 2532 q^{80} + 198 q^{81} + 4662 q^{84} - 704 q^{85} + 6108 q^{86} + 8148 q^{89} + 6408 q^{90} - 1884 q^{91} - 1078 q^{94} - 1692 q^{95} + 11874 q^{96} - 1602 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.13376 + 1.23192i −0.754397 + 0.435551i −0.827280 0.561789i \(-0.810113\pi\)
0.0728836 + 0.997340i \(0.476780\pi\)
\(3\) 1.50557 4.97325i 0.289747 0.957103i
\(4\) −0.964722 + 1.67095i −0.120590 + 0.208869i
\(5\) −9.64354 5.65704i −0.862545 0.505981i
\(6\) 2.91415 + 12.4665i 0.198283 + 0.848235i
\(7\) −16.6624 + 9.62007i −0.899688 + 0.519435i −0.877099 0.480310i \(-0.840524\pi\)
−0.0225888 + 0.999745i \(0.507191\pi\)
\(8\) 24.4647i 1.08120i
\(9\) −22.4665 14.9752i −0.832093 0.554636i
\(10\) 27.5460 + 0.190629i 0.871082 + 0.00602821i
\(11\) −19.9274 34.5153i −0.546213 0.946069i −0.998529 0.0542113i \(-0.982736\pi\)
0.452316 0.891858i \(-0.350598\pi\)
\(12\) 6.85759 + 7.31354i 0.164968 + 0.175936i
\(13\) 0.873903 + 0.504548i 0.0186444 + 0.0107643i 0.509293 0.860593i \(-0.329907\pi\)
−0.490649 + 0.871357i \(0.663240\pi\)
\(14\) 23.7024 41.0538i 0.452481 0.783720i
\(15\) −42.6529 + 39.4427i −0.734196 + 0.678937i
\(16\) 22.4208 + 38.8340i 0.350326 + 0.606782i
\(17\) 52.6170i 0.750676i 0.926888 + 0.375338i \(0.122473\pi\)
−0.926888 + 0.375338i \(0.877527\pi\)
\(18\) 66.3864 + 4.27635i 0.869301 + 0.0559970i
\(19\) 49.5371 0.598136 0.299068 0.954232i \(-0.403324\pi\)
0.299068 + 0.954232i \(0.403324\pi\)
\(20\) 18.7560 10.6564i 0.209698 0.119142i
\(21\) 22.7565 + 97.3503i 0.236471 + 1.01160i
\(22\) 85.0405 + 49.0982i 0.824123 + 0.475808i
\(23\) 23.7307 + 13.7009i 0.215139 + 0.124210i 0.603697 0.797214i \(-0.293694\pi\)
−0.388559 + 0.921424i \(0.627027\pi\)
\(24\) −121.669 36.8333i −1.03482 0.313274i
\(25\) 60.9958 + 109.108i 0.487966 + 0.872862i
\(26\) −2.48626 −0.0187537
\(27\) −108.300 + 89.1854i −0.771941 + 0.635694i
\(28\) 37.1228i 0.250555i
\(29\) −127.477 220.796i −0.816269 1.41382i −0.908413 0.418074i \(-0.862705\pi\)
0.0921441 0.995746i \(-0.470628\pi\)
\(30\) 42.4206 136.706i 0.258163 0.831968i
\(31\) 84.3282 146.061i 0.488574 0.846234i −0.511340 0.859379i \(-0.670851\pi\)
0.999914 + 0.0131441i \(0.00418403\pi\)
\(32\) 73.8149 + 42.6170i 0.407774 + 0.235428i
\(33\) −201.656 + 47.1388i −1.06375 + 0.248661i
\(34\) −64.8202 112.272i −0.326958 0.566308i
\(35\) 215.106 + 1.48861i 1.03884 + 0.00718919i
\(36\) 46.6967 23.0935i 0.216188 0.106914i
\(37\) 419.938i 1.86588i −0.360038 0.932938i \(-0.617236\pi\)
0.360038 0.932938i \(-0.382764\pi\)
\(38\) −105.700 + 61.0260i −0.451232 + 0.260519i
\(39\) 3.82497 3.58651i 0.0157047 0.0147257i
\(40\) −138.398 + 235.926i −0.547064 + 0.932579i
\(41\) −199.285 + 345.172i −0.759100 + 1.31480i 0.184210 + 0.982887i \(0.441027\pi\)
−0.943310 + 0.331913i \(0.892306\pi\)
\(42\) −168.485 179.687i −0.618996 0.660152i
\(43\) −310.754 + 179.414i −1.10208 + 0.636288i −0.936767 0.349953i \(-0.886198\pi\)
−0.165316 + 0.986241i \(0.552864\pi\)
\(44\) 76.8977 0.263472
\(45\) 131.941 + 271.508i 0.437082 + 0.899422i
\(46\) −67.5141 −0.216400
\(47\) 122.371 70.6510i 0.379780 0.219266i −0.297943 0.954584i \(-0.596300\pi\)
0.677723 + 0.735318i \(0.262967\pi\)
\(48\) 226.888 53.0371i 0.682259 0.159484i
\(49\) 13.5915 23.5411i 0.0396253 0.0686330i
\(50\) −264.563 157.667i −0.748297 0.445950i
\(51\) 261.678 + 79.2187i 0.718475 + 0.217507i
\(52\) −1.68615 + 0.973497i −0.00449666 + 0.00259615i
\(53\) 290.878i 0.753872i −0.926239 0.376936i \(-0.876978\pi\)
0.926239 0.376936i \(-0.123022\pi\)
\(54\) 121.217 323.718i 0.305473 0.815785i
\(55\) −3.08358 + 445.580i −0.00755981 + 1.09240i
\(56\) 235.352 + 407.641i 0.561611 + 0.972738i
\(57\) 74.5817 246.361i 0.173308 0.572478i
\(58\) 544.008 + 314.083i 1.23158 + 0.711054i
\(59\) 14.3659 24.8825i 0.0316998 0.0549056i −0.849740 0.527202i \(-0.823241\pi\)
0.881440 + 0.472296i \(0.156575\pi\)
\(60\) −24.7584 109.322i −0.0532717 0.235224i
\(61\) −366.364 634.561i −0.768985 1.33192i −0.938114 0.346327i \(-0.887429\pi\)
0.169129 0.985594i \(-0.445904\pi\)
\(62\) 415.544i 0.851195i
\(63\) 518.409 + 33.3939i 1.03672 + 0.0667815i
\(64\) −568.737 −1.11082
\(65\) −5.57327 9.80933i −0.0106351 0.0187184i
\(66\) 372.212 349.007i 0.694184 0.650907i
\(67\) 152.893 + 88.2730i 0.278789 + 0.160959i 0.632875 0.774254i \(-0.281875\pi\)
−0.354086 + 0.935213i \(0.615208\pi\)
\(68\) −87.9203 50.7608i −0.156793 0.0905243i
\(69\) 103.866 97.3911i 0.181218 0.169920i
\(70\) −460.818 + 261.818i −0.786833 + 0.447047i
\(71\) −802.814 −1.34192 −0.670961 0.741493i \(-0.734118\pi\)
−0.670961 + 0.741493i \(0.734118\pi\)
\(72\) −366.363 + 549.635i −0.599670 + 0.899655i
\(73\) 512.820i 0.822205i −0.911589 0.411103i \(-0.865144\pi\)
0.911589 0.411103i \(-0.134856\pi\)
\(74\) 517.332 + 896.046i 0.812684 + 1.40761i
\(75\) 634.454 139.078i 0.976806 0.214124i
\(76\) −47.7895 + 82.7739i −0.0721294 + 0.124932i
\(77\) 664.079 + 383.406i 0.982842 + 0.567444i
\(78\) −3.74324 + 12.3648i −0.00543383 + 0.0179492i
\(79\) 306.174 + 530.309i 0.436041 + 0.755246i 0.997380 0.0723406i \(-0.0230468\pi\)
−0.561339 + 0.827586i \(0.689714\pi\)
\(80\) 3.46941 501.333i 0.00484865 0.700635i
\(81\) 280.488 + 672.880i 0.384757 + 0.923018i
\(82\) 982.017i 1.32251i
\(83\) −69.9889 + 40.4081i −0.0925576 + 0.0534382i −0.545564 0.838069i \(-0.683685\pi\)
0.453007 + 0.891507i \(0.350351\pi\)
\(84\) −184.621 55.8910i −0.239807 0.0725977i
\(85\) 297.657 507.414i 0.379828 0.647492i
\(86\) 442.049 765.651i 0.554272 0.960027i
\(87\) −1290.00 + 301.549i −1.58968 + 0.371603i
\(88\) −844.405 + 487.518i −1.02289 + 0.590563i
\(89\) −24.0097 −0.0285957 −0.0142979 0.999898i \(-0.504551\pi\)
−0.0142979 + 0.999898i \(0.504551\pi\)
\(90\) −616.008 416.789i −0.721477 0.488150i
\(91\) −19.4151 −0.0223655
\(92\) −45.7871 + 26.4352i −0.0518873 + 0.0299572i
\(93\) −599.435 639.290i −0.668371 0.712810i
\(94\) −174.073 + 301.504i −0.191003 + 0.330827i
\(95\) −477.713 280.233i −0.515919 0.302646i
\(96\) 323.079 302.937i 0.343480 0.322067i
\(97\) 1184.65 683.960i 1.24003 0.715934i 0.270934 0.962598i \(-0.412668\pi\)
0.969101 + 0.246664i \(0.0793343\pi\)
\(98\) 66.9747i 0.0690353i
\(99\) −69.1736 + 1073.86i −0.0702243 + 1.09017i
\(100\) −241.157 3.33796i −0.241157 0.00333796i
\(101\) −284.206 492.260i −0.279996 0.484967i 0.691387 0.722484i \(-0.257000\pi\)
−0.971383 + 0.237517i \(0.923666\pi\)
\(102\) −655.948 + 153.334i −0.636750 + 0.148846i
\(103\) 411.499 + 237.579i 0.393653 + 0.227276i 0.683742 0.729724i \(-0.260352\pi\)
−0.290089 + 0.957000i \(0.593685\pi\)
\(104\) 12.3436 21.3797i 0.0116384 0.0201582i
\(105\) 331.261 1067.54i 0.307884 0.992199i
\(106\) 358.340 + 620.664i 0.328350 + 0.568719i
\(107\) 1452.60i 1.31242i 0.754580 + 0.656208i \(0.227841\pi\)
−0.754580 + 0.656208i \(0.772159\pi\)
\(108\) −44.5444 267.003i −0.0396879 0.237893i
\(109\) 1962.92 1.72490 0.862448 0.506146i \(-0.168930\pi\)
0.862448 + 0.506146i \(0.168930\pi\)
\(110\) −542.342 954.558i −0.470093 0.827396i
\(111\) −2088.46 632.247i −1.78584 0.540633i
\(112\) −747.172 431.380i −0.630367 0.363943i
\(113\) −847.220 489.143i −0.705308 0.407210i 0.104013 0.994576i \(-0.466832\pi\)
−0.809321 + 0.587366i \(0.800165\pi\)
\(114\) 144.359 + 617.552i 0.118600 + 0.507360i
\(115\) −151.341 266.371i −0.122719 0.215993i
\(116\) 491.918 0.393736
\(117\) −12.0778 24.4223i −0.00954356 0.0192978i
\(118\) 70.7910i 0.0552275i
\(119\) −506.179 876.728i −0.389928 0.675374i
\(120\) 964.952 + 1043.49i 0.734064 + 0.793810i
\(121\) −128.704 + 222.923i −0.0966976 + 0.167485i
\(122\) 1563.46 + 902.665i 1.16024 + 0.669864i
\(123\) 1416.59 + 1510.78i 1.03845 + 1.10750i
\(124\) 162.706 + 281.816i 0.117834 + 0.204095i
\(125\) 29.0120 1397.24i 0.0207593 0.999785i
\(126\) −1147.30 + 567.387i −0.811186 + 0.401165i
\(127\) 865.941i 0.605038i 0.953143 + 0.302519i \(0.0978276\pi\)
−0.953143 + 0.302519i \(0.902172\pi\)
\(128\) 623.028 359.705i 0.430222 0.248389i
\(129\) 424.409 + 1815.58i 0.289667 + 1.23917i
\(130\) 23.9764 + 14.0649i 0.0161759 + 0.00948901i
\(131\) 734.478 1272.15i 0.489860 0.848462i −0.510072 0.860132i \(-0.670381\pi\)
0.999932 + 0.0116695i \(0.00371460\pi\)
\(132\) 115.775 382.432i 0.0763403 0.252170i
\(133\) −825.409 + 476.550i −0.538136 + 0.310693i
\(134\) −434.983 −0.280424
\(135\) 1548.92 247.404i 0.987483 0.157727i
\(136\) 1287.26 0.811628
\(137\) −61.9514 + 35.7677i −0.0386341 + 0.0223054i −0.519193 0.854657i \(-0.673767\pi\)
0.480559 + 0.876963i \(0.340434\pi\)
\(138\) −101.647 + 335.765i −0.0627014 + 0.207117i
\(139\) 114.532 198.376i 0.0698886 0.121051i −0.828964 0.559303i \(-0.811069\pi\)
0.898852 + 0.438252i \(0.144402\pi\)
\(140\) −210.005 + 357.995i −0.126776 + 0.216115i
\(141\) −167.127 714.953i −0.0998199 0.427020i
\(142\) 1713.01 989.006i 1.01234 0.584476i
\(143\) 40.2174i 0.0235185i
\(144\) 77.8289 1208.22i 0.0450399 0.699202i
\(145\) −19.7258 + 2850.39i −0.0112975 + 1.63250i
\(146\) 631.755 + 1094.23i 0.358113 + 0.620269i
\(147\) −96.6130 103.037i −0.0542075 0.0578117i
\(148\) 701.695 + 405.124i 0.389723 + 0.225006i
\(149\) −417.572 + 723.256i −0.229589 + 0.397661i −0.957686 0.287814i \(-0.907072\pi\)
0.728097 + 0.685474i \(0.240405\pi\)
\(150\) −1182.44 + 1078.36i −0.643638 + 0.586984i
\(151\) 933.292 + 1616.51i 0.502982 + 0.871190i 0.999994 + 0.00344622i \(0.00109697\pi\)
−0.497013 + 0.867743i \(0.665570\pi\)
\(152\) 1211.91i 0.646702i
\(153\) 787.949 1182.12i 0.416352 0.624632i
\(154\) −1889.31 −0.988604
\(155\) −1639.49 + 931.494i −0.849595 + 0.482706i
\(156\) 2.30283 + 9.85131i 0.00118189 + 0.00505600i
\(157\) −1991.78 1149.95i −1.01249 0.584563i −0.100572 0.994930i \(-0.532067\pi\)
−0.911921 + 0.410367i \(0.865401\pi\)
\(158\) −1306.60 754.367i −0.657896 0.379837i
\(159\) −1446.61 437.938i −0.721533 0.218432i
\(160\) −470.751 828.553i −0.232601 0.409393i
\(161\) −527.215 −0.258077
\(162\) −1427.43 1090.22i −0.692281 0.528741i
\(163\) 44.9023i 0.0215768i 0.999942 + 0.0107884i \(0.00343412\pi\)
−0.999942 + 0.0107884i \(0.996566\pi\)
\(164\) −384.510 665.990i −0.183080 0.317104i
\(165\) 2211.34 + 686.188i 1.04335 + 0.323756i
\(166\) 99.5595 172.442i 0.0465501 0.0806272i
\(167\) −1018.93 588.281i −0.472140 0.272590i 0.244995 0.969524i \(-0.421214\pi\)
−0.717135 + 0.696934i \(0.754547\pi\)
\(168\) 2381.64 556.731i 1.09374 0.255671i
\(169\) −1097.99 1901.78i −0.499768 0.865624i
\(170\) −10.0303 + 1449.39i −0.00452523 + 0.653900i
\(171\) −1112.93 741.827i −0.497705 0.331748i
\(172\) 692.339i 0.306921i
\(173\) 924.994 534.045i 0.406508 0.234698i −0.282780 0.959185i \(-0.591257\pi\)
0.689288 + 0.724487i \(0.257923\pi\)
\(174\) 2381.06 2232.61i 1.03740 0.972724i
\(175\) −2065.96 1231.22i −0.892412 0.531837i
\(176\) 893.579 1547.72i 0.382705 0.662864i
\(177\) −102.118 108.908i −0.0433654 0.0462487i
\(178\) 51.2308 29.5781i 0.0215725 0.0124549i
\(179\) 2779.66 1.16068 0.580339 0.814375i \(-0.302920\pi\)
0.580339 + 0.814375i \(0.302920\pi\)
\(180\) −580.962 41.4623i −0.240569 0.0171690i
\(181\) −3568.66 −1.46550 −0.732752 0.680496i \(-0.761764\pi\)
−0.732752 + 0.680496i \(0.761764\pi\)
\(182\) 41.4272 23.9180i 0.0168725 0.00974132i
\(183\) −3707.42 + 866.643i −1.49760 + 0.350077i
\(184\) 335.189 580.564i 0.134296 0.232607i
\(185\) −2375.61 + 4049.69i −0.944098 + 1.60940i
\(186\) 2066.60 + 625.631i 0.814682 + 0.246632i
\(187\) 1816.09 1048.52i 0.710192 0.410029i
\(188\) 272.634i 0.105765i
\(189\) 946.579 2527.90i 0.364304 0.972899i
\(190\) 1364.55 + 9.44319i 0.521026 + 0.00360569i
\(191\) 1669.31 + 2891.33i 0.632392 + 1.09534i 0.987061 + 0.160344i \(0.0512603\pi\)
−0.354669 + 0.934992i \(0.615406\pi\)
\(192\) −856.275 + 2828.48i −0.321856 + 1.06316i
\(193\) −1680.84 970.433i −0.626888 0.361934i 0.152658 0.988279i \(-0.451217\pi\)
−0.779546 + 0.626345i \(0.784550\pi\)
\(194\) −1685.18 + 2918.81i −0.623652 + 1.08020i
\(195\) −57.1753 + 12.9486i −0.0209969 + 0.00475523i
\(196\) 26.2240 + 45.4213i 0.00955684 + 0.0165529i
\(197\) 1035.75i 0.374588i 0.982304 + 0.187294i \(0.0599717\pi\)
−0.982304 + 0.187294i \(0.940028\pi\)
\(198\) −1175.31 2376.56i −0.421847 0.853005i
\(199\) −1565.53 −0.557675 −0.278838 0.960338i \(-0.589949\pi\)
−0.278838 + 0.960338i \(0.589949\pi\)
\(200\) 2669.29 1492.24i 0.943735 0.527587i
\(201\) 669.196 627.476i 0.234833 0.220193i
\(202\) 1212.85 + 700.242i 0.422456 + 0.243905i
\(203\) 4248.14 + 2452.67i 1.46877 + 0.847997i
\(204\) −384.817 + 360.826i −0.132071 + 0.123838i
\(205\) 3874.47 2201.32i 1.32002 0.749983i
\(206\) −1170.72 −0.395961
\(207\) −327.972 663.184i −0.110124 0.222678i
\(208\) 45.2496i 0.0150841i
\(209\) −987.147 1709.79i −0.326710 0.565878i
\(210\) 608.294 + 2685.95i 0.199887 + 0.882611i
\(211\) −1692.64 + 2931.73i −0.552255 + 0.956534i 0.445856 + 0.895105i \(0.352899\pi\)
−0.998111 + 0.0614294i \(0.980434\pi\)
\(212\) 486.043 + 280.617i 0.157460 + 0.0909096i
\(213\) −1208.69 + 3992.60i −0.388819 + 1.28436i
\(214\) −1789.50 3099.50i −0.571624 0.990082i
\(215\) 4011.72 + 27.7626i 1.27255 + 0.00880648i
\(216\) 2181.89 + 2649.53i 0.687310 + 0.834619i
\(217\) 3244.97i 1.01513i
\(218\) −4188.39 + 2418.17i −1.30126 + 0.751280i
\(219\) −2550.38 772.087i −0.786935 0.238232i
\(220\) −741.566 435.014i −0.227256 0.133312i
\(221\) −26.5478 + 45.9821i −0.00808054 + 0.0139959i
\(222\) 5235.14 1223.76i 1.58270 0.369971i
\(223\) 2048.62 1182.77i 0.615183 0.355176i −0.159808 0.987148i \(-0.551088\pi\)
0.774991 + 0.631972i \(0.217754\pi\)
\(224\) −1639.92 −0.489158
\(225\) 263.548 3364.69i 0.0780882 0.996946i
\(226\) 2410.35 0.709443
\(227\) 845.440 488.115i 0.247197 0.142720i −0.371283 0.928520i \(-0.621082\pi\)
0.618480 + 0.785800i \(0.287749\pi\)
\(228\) 339.705 + 362.292i 0.0986733 + 0.105234i
\(229\) 797.640 1381.55i 0.230173 0.398671i −0.727686 0.685910i \(-0.759404\pi\)
0.957859 + 0.287240i \(0.0927376\pi\)
\(230\) 651.075 + 381.930i 0.186655 + 0.109494i
\(231\) 2906.60 2725.39i 0.827879 0.776266i
\(232\) −5401.70 + 3118.67i −1.52862 + 0.882546i
\(233\) 943.571i 0.265302i −0.991163 0.132651i \(-0.957651\pi\)
0.991163 0.132651i \(-0.0423490\pi\)
\(234\) 55.8576 + 37.2322i 0.0156048 + 0.0104015i
\(235\) −1579.77 10.9326i −0.438522 0.00303473i
\(236\) 27.7183 + 48.0095i 0.00764537 + 0.0132422i
\(237\) 3098.33 724.262i 0.849190 0.198506i
\(238\) 2160.13 + 1247.15i 0.588320 + 0.339667i
\(239\) 1365.75 2365.54i 0.369635 0.640227i −0.619873 0.784702i \(-0.712816\pi\)
0.989508 + 0.144475i \(0.0461492\pi\)
\(240\) −2488.03 772.048i −0.669175 0.207648i
\(241\) −1708.62 2959.41i −0.456687 0.791006i 0.542096 0.840317i \(-0.317631\pi\)
−0.998783 + 0.0493107i \(0.984298\pi\)
\(242\) 634.217i 0.168467i
\(243\) 3768.70 381.867i 0.994906 0.100810i
\(244\) 1413.76 0.370928
\(245\) −264.243 + 150.132i −0.0689055 + 0.0391494i
\(246\) −4883.82 1478.50i −1.26578 0.383193i
\(247\) 43.2906 + 24.9938i 0.0111519 + 0.00643854i
\(248\) −3573.32 2063.06i −0.914945 0.528244i
\(249\) 95.5865 + 408.910i 0.0243275 + 0.104071i
\(250\) 1659.39 + 3017.11i 0.419797 + 0.763276i
\(251\) −3164.50 −0.795782 −0.397891 0.917433i \(-0.630258\pi\)
−0.397891 + 0.917433i \(0.630258\pi\)
\(252\) −555.920 + 834.019i −0.138967 + 0.208485i
\(253\) 1092.10i 0.271382i
\(254\) −1066.77 1847.71i −0.263525 0.456439i
\(255\) −2075.36 2244.27i −0.509662 0.551144i
\(256\) 1388.69 2405.28i 0.339036 0.587227i
\(257\) −4805.95 2774.72i −1.16649 0.673471i −0.213636 0.976913i \(-0.568531\pi\)
−0.952850 + 0.303442i \(0.901864\pi\)
\(258\) −3142.24 3351.17i −0.758246 0.808661i
\(259\) 4039.83 + 6997.20i 0.969201 + 1.67871i
\(260\) 21.7675 + 0.150639i 0.00519218 + 3.59318e-5i
\(261\) −442.506 + 6869.50i −0.104944 + 1.62916i
\(262\) 3619.29i 0.853436i
\(263\) 3583.30 2068.82i 0.840136 0.485053i −0.0171742 0.999853i \(-0.505467\pi\)
0.857311 + 0.514800i \(0.172134\pi\)
\(264\) 1153.24 + 4933.43i 0.268851 + 1.15012i
\(265\) −1645.51 + 2805.10i −0.381445 + 0.650248i
\(266\) 1174.15 2033.68i 0.270645 0.468771i
\(267\) −36.1483 + 119.406i −0.00828554 + 0.0273691i
\(268\) −294.999 + 170.318i −0.0672386 + 0.0388202i
\(269\) 1026.74 0.232719 0.116359 0.993207i \(-0.462878\pi\)
0.116359 + 0.993207i \(0.462878\pi\)
\(270\) −3000.24 + 2436.06i −0.676256 + 0.549088i
\(271\) 3400.66 0.762270 0.381135 0.924519i \(-0.375533\pi\)
0.381135 + 0.924519i \(0.375533\pi\)
\(272\) −2043.33 + 1179.72i −0.455497 + 0.262981i
\(273\) −29.2309 + 96.5564i −0.00648035 + 0.0214061i
\(274\) 88.1261 152.639i 0.0194303 0.0336542i
\(275\) 2550.40 4279.53i 0.559254 0.938419i
\(276\) 62.5331 + 267.511i 0.0136379 + 0.0583415i
\(277\) −3090.68 + 1784.41i −0.670401 + 0.387056i −0.796228 0.604996i \(-0.793175\pi\)
0.125828 + 0.992052i \(0.459841\pi\)
\(278\) 564.381i 0.121760i
\(279\) −4081.84 + 2018.64i −0.875891 + 0.433165i
\(280\) 36.4184 5262.50i 0.00777292 1.12319i
\(281\) 3009.34 + 5212.33i 0.638869 + 1.10655i 0.985681 + 0.168618i \(0.0539306\pi\)
−0.346813 + 0.937934i \(0.612736\pi\)
\(282\) 1237.38 + 1319.65i 0.261293 + 0.278666i
\(283\) −3964.81 2289.08i −0.832803 0.480819i 0.0220082 0.999758i \(-0.492994\pi\)
−0.854812 + 0.518939i \(0.826327\pi\)
\(284\) 774.492 1341.46i 0.161823 0.280285i
\(285\) −2112.90 + 1953.88i −0.439149 + 0.406097i
\(286\) 49.5448 + 85.8141i 0.0102435 + 0.0177423i
\(287\) 7668.55i 1.57721i
\(288\) −1020.16 2062.85i −0.208728 0.422064i
\(289\) 2144.45 0.436485
\(290\) −3469.38 6106.35i −0.702514 1.23647i
\(291\) −1617.93 6921.34i −0.325926 1.39428i
\(292\) 856.895 + 494.729i 0.171733 + 0.0991500i
\(293\) 5611.61 + 3239.87i 1.11889 + 0.645990i 0.941117 0.338082i \(-0.109778\pi\)
0.177771 + 0.984072i \(0.443111\pi\)
\(294\) 333.082 + 100.835i 0.0660739 + 0.0200028i
\(295\) −279.300 + 158.687i −0.0551236 + 0.0313190i
\(296\) −10273.6 −2.01738
\(297\) 5236.41 + 1960.78i 1.02305 + 0.383085i
\(298\) 2057.67i 0.399992i
\(299\) 13.8255 + 23.9466i 0.00267409 + 0.00463166i
\(300\) −379.680 + 1194.31i −0.0730695 + 0.229845i
\(301\) 3451.95 5978.95i 0.661020 1.14492i
\(302\) −3982.83 2299.49i −0.758895 0.438148i
\(303\) −2876.03 + 672.298i −0.545292 + 0.127467i
\(304\) 1110.66 + 1923.73i 0.209543 + 0.362938i
\(305\) −56.6913 + 8191.95i −0.0106431 + 1.53793i
\(306\) −225.009 + 3493.05i −0.0420356 + 0.652564i
\(307\) 708.452i 0.131705i 0.997829 + 0.0658526i \(0.0209767\pi\)
−0.997829 + 0.0658526i \(0.979023\pi\)
\(308\) −1281.30 + 739.761i −0.237043 + 0.136857i
\(309\) 1801.08 1688.80i 0.331586 0.310914i
\(310\) 2350.75 4007.31i 0.430689 0.734194i
\(311\) 3117.32 5399.35i 0.568382 0.984467i −0.428344 0.903616i \(-0.640903\pi\)
0.996726 0.0808511i \(-0.0257638\pi\)
\(312\) −87.7427 93.5765i −0.0159213 0.0169799i
\(313\) 2278.87 1315.71i 0.411532 0.237598i −0.279916 0.960024i \(-0.590307\pi\)
0.691448 + 0.722427i \(0.256973\pi\)
\(314\) 5666.63 1.01843
\(315\) −4810.39 3254.70i −0.860428 0.582163i
\(316\) −1181.49 −0.210329
\(317\) −435.207 + 251.267i −0.0771094 + 0.0445191i −0.538059 0.842907i \(-0.680842\pi\)
0.460950 + 0.887426i \(0.347509\pi\)
\(318\) 3626.22 847.663i 0.639461 0.149480i
\(319\) −5080.56 + 8799.79i −0.891714 + 1.54449i
\(320\) 5484.64 + 3217.37i 0.958128 + 0.562052i
\(321\) 7224.17 + 2187.00i 1.25612 + 0.380269i
\(322\) 1124.95 649.490i 0.194692 0.112406i
\(323\) 2606.49i 0.449007i
\(324\) −1394.94 180.462i −0.239187 0.0309434i
\(325\) −1.74575 + 126.125i −0.000297959 + 0.0215266i
\(326\) −55.3162 95.8105i −0.00939780 0.0162775i
\(327\) 2955.32 9762.10i 0.499784 1.65090i
\(328\) 8444.51 + 4875.44i 1.42156 + 0.820736i
\(329\) −1359.33 + 2354.44i −0.227789 + 0.394542i
\(330\) −5563.79 + 1260.05i −0.928111 + 0.210192i
\(331\) −1543.57 2673.54i −0.256321 0.443961i 0.708933 0.705276i \(-0.249177\pi\)
−0.965253 + 0.261316i \(0.915844\pi\)
\(332\) 155.930i 0.0257765i
\(333\) −6288.65 + 9434.54i −1.03488 + 1.55258i
\(334\) 2898.87 0.474908
\(335\) −975.069 1716.19i −0.159026 0.279897i
\(336\) −3270.28 + 3066.40i −0.530978 + 0.497875i
\(337\) 5183.86 + 2992.90i 0.837931 + 0.483780i 0.856560 0.516047i \(-0.172597\pi\)
−0.0186295 + 0.999826i \(0.505930\pi\)
\(338\) 4685.69 + 2705.28i 0.754047 + 0.435349i
\(339\) −3708.18 + 3477.00i −0.594103 + 0.557064i
\(340\) 560.707 + 986.882i 0.0894371 + 0.157415i
\(341\) −6721.77 −1.06746
\(342\) 3288.59 + 211.838i 0.519960 + 0.0334938i
\(343\) 6076.36i 0.956539i
\(344\) 4389.30 + 7602.49i 0.687951 + 1.19157i
\(345\) −1552.59 + 351.618i −0.242285 + 0.0548709i
\(346\) −1315.81 + 2279.05i −0.204446 + 0.354110i
\(347\) −871.784 503.325i −0.134870 0.0778671i 0.431047 0.902329i \(-0.358144\pi\)
−0.565917 + 0.824462i \(0.691478\pi\)
\(348\) 740.618 2446.43i 0.114084 0.376846i
\(349\) −974.678 1688.19i −0.149494 0.258931i 0.781547 0.623847i \(-0.214431\pi\)
−0.931040 + 0.364916i \(0.881098\pi\)
\(350\) 5925.03 + 82.0108i 0.904875 + 0.0125247i
\(351\) −139.642 + 23.2967i −0.0212352 + 0.00354269i
\(352\) 3396.99i 0.514376i
\(353\) −2244.50 + 1295.87i −0.338422 + 0.195388i −0.659574 0.751640i \(-0.729263\pi\)
0.321152 + 0.947028i \(0.395930\pi\)
\(354\) 352.062 + 106.581i 0.0528584 + 0.0160020i
\(355\) 7741.97 + 4541.55i 1.15747 + 0.678987i
\(356\) 23.1627 40.1189i 0.00344837 0.00597275i
\(357\) −5122.28 + 1197.38i −0.759383 + 0.177513i
\(358\) −5931.11 + 3424.33i −0.875611 + 0.505534i
\(359\) 605.954 0.0890837 0.0445418 0.999008i \(-0.485817\pi\)
0.0445418 + 0.999008i \(0.485817\pi\)
\(360\) 6642.34 3227.90i 0.972451 0.472571i
\(361\) −4405.08 −0.642233
\(362\) 7614.64 4396.32i 1.10557 0.638302i
\(363\) 914.877 + 975.706i 0.132283 + 0.141078i
\(364\) 18.7302 32.4417i 0.00269706 0.00467145i
\(365\) −2901.04 + 4945.40i −0.416020 + 0.709189i
\(366\) 6843.09 6416.46i 0.977306 0.916377i
\(367\) −8452.63 + 4880.13i −1.20225 + 0.694117i −0.961054 0.276361i \(-0.910871\pi\)
−0.241191 + 0.970478i \(0.577538\pi\)
\(368\) 1228.75i 0.174056i
\(369\) 9646.25 4770.48i 1.36088 0.673011i
\(370\) 80.0522 11567.6i 0.0112479 1.62533i
\(371\) 2798.27 + 4846.75i 0.391587 + 0.678249i
\(372\) 1646.51 384.887i 0.229482 0.0536436i
\(373\) −6775.45 3911.81i −0.940535 0.543018i −0.0504071 0.998729i \(-0.516052\pi\)
−0.890128 + 0.455711i \(0.849385\pi\)
\(374\) −2583.40 + 4474.58i −0.357178 + 0.618650i
\(375\) −6905.16 2247.93i −0.950882 0.309554i
\(376\) −1728.45 2993.77i −0.237069 0.410616i
\(377\) 257.272i 0.0351464i
\(378\) 1094.42 + 6560.05i 0.148918 + 0.892625i
\(379\) −2731.46 −0.370200 −0.185100 0.982720i \(-0.559261\pi\)
−0.185100 + 0.982720i \(0.559261\pi\)
\(380\) 929.116 527.886i 0.125428 0.0712632i
\(381\) 4306.54 + 1303.74i 0.579084 + 0.175308i
\(382\) −7123.80 4112.93i −0.954150 0.550879i
\(383\) −10911.8 6299.93i −1.45579 0.840500i −0.456988 0.889473i \(-0.651072\pi\)
−0.998800 + 0.0489732i \(0.984405\pi\)
\(384\) −850.893 3640.04i −0.113078 0.483737i
\(385\) −4235.13 7454.12i −0.560629 0.986746i
\(386\) 4782.00 0.630563
\(387\) 9668.32 + 622.795i 1.26994 + 0.0818048i
\(388\) 2639.33i 0.345339i
\(389\) −2471.73 4281.16i −0.322163 0.558003i 0.658771 0.752344i \(-0.271077\pi\)
−0.980934 + 0.194340i \(0.937743\pi\)
\(390\) 106.046 98.0648i 0.0137689 0.0127326i
\(391\) −720.902 + 1248.64i −0.0932419 + 0.161500i
\(392\) −575.925 332.511i −0.0742057 0.0428427i
\(393\) −5220.93 5568.06i −0.670130 0.714686i
\(394\) −1275.96 2210.03i −0.163152 0.282588i
\(395\) 47.3775 6846.09i 0.00603499 0.872062i
\(396\) −1727.62 1151.56i −0.219233 0.146131i
\(397\) 7067.06i 0.893415i 0.894680 + 0.446707i \(0.147403\pi\)
−0.894680 + 0.446707i \(0.852597\pi\)
\(398\) 3340.46 1928.61i 0.420708 0.242896i
\(399\) 1127.29 + 4822.45i 0.141442 + 0.605074i
\(400\) −2869.52 + 4815.00i −0.358690 + 0.601875i
\(401\) 458.792 794.651i 0.0571346 0.0989600i −0.836043 0.548663i \(-0.815137\pi\)
0.893178 + 0.449703i \(0.148470\pi\)
\(402\) −654.898 + 2163.28i −0.0812521 + 0.268394i
\(403\) 147.389 85.0952i 0.0182183 0.0105183i
\(404\) 1096.72 0.135059
\(405\) 1101.62 8075.68i 0.135160 0.990824i
\(406\) −12086.0 −1.47738
\(407\) −14494.3 + 8368.28i −1.76525 + 1.01917i
\(408\) 1938.06 6401.86i 0.235167 0.776812i
\(409\) 7367.76 12761.3i 0.890739 1.54281i 0.0517481 0.998660i \(-0.483521\pi\)
0.838991 0.544145i \(-0.183146\pi\)
\(410\) −5555.31 + 9470.12i −0.669164 + 1.14072i
\(411\) 84.6093 + 361.951i 0.0101544 + 0.0434397i
\(412\) −793.965 + 458.396i −0.0949414 + 0.0548144i
\(413\) 552.805i 0.0658638i
\(414\) 1516.80 + 1011.04i 0.180065 + 0.120023i
\(415\) 903.531 + 6.25277i 0.106874 + 0.000739606i
\(416\) 43.0047 + 74.4863i 0.00506846 + 0.00877883i
\(417\) −814.137 868.268i −0.0956078 0.101965i
\(418\) 4212.66 + 2432.18i 0.492938 + 0.284598i
\(419\) −4627.46 + 8014.99i −0.539537 + 0.934506i 0.459392 + 0.888234i \(0.348068\pi\)
−0.998929 + 0.0462722i \(0.985266\pi\)
\(420\) 1464.22 + 1583.40i 0.170111 + 0.183957i
\(421\) 5100.98 + 8835.15i 0.590514 + 1.02280i 0.994163 + 0.107886i \(0.0344082\pi\)
−0.403649 + 0.914914i \(0.632258\pi\)
\(422\) 8340.80i 0.962142i
\(423\) −3807.26 245.249i −0.437625 0.0281901i
\(424\) −7116.24 −0.815083
\(425\) −5740.93 + 3209.42i −0.655237 + 0.366305i
\(426\) −2339.52 10008.2i −0.266080 1.13827i
\(427\) 12209.0 + 7048.89i 1.38369 + 0.798875i
\(428\) −2427.23 1401.36i −0.274122 0.158265i
\(429\) −200.011 60.5501i −0.0225096 0.00681443i
\(430\) −8594.24 + 4882.90i −0.963840 + 0.547615i
\(431\) 8057.20 0.900468 0.450234 0.892911i \(-0.351341\pi\)
0.450234 + 0.892911i \(0.351341\pi\)
\(432\) −5891.61 2206.13i −0.656158 0.245700i
\(433\) 4306.26i 0.477935i 0.971028 + 0.238967i \(0.0768089\pi\)
−0.971028 + 0.238967i \(0.923191\pi\)
\(434\) −3997.56 6923.98i −0.442141 0.765810i
\(435\) 14146.0 + 4389.58i 1.55920 + 0.483825i
\(436\) −1893.67 + 3279.94i −0.208006 + 0.360276i
\(437\) 1175.55 + 678.704i 0.128682 + 0.0742948i
\(438\) 6393.05 1494.43i 0.697424 0.163029i
\(439\) −2360.90 4089.19i −0.256673 0.444571i 0.708676 0.705535i \(-0.249293\pi\)
−0.965349 + 0.260964i \(0.915960\pi\)
\(440\) 10901.0 + 75.4387i 1.18110 + 0.00817363i
\(441\) −657.885 + 325.352i −0.0710382 + 0.0351314i
\(442\) 130.820i 0.0140779i
\(443\) 13297.3 7677.19i 1.42612 0.823373i 0.429311 0.903157i \(-0.358756\pi\)
0.996812 + 0.0797840i \(0.0254231\pi\)
\(444\) 3071.23 2879.76i 0.328276 0.307810i
\(445\) 231.538 + 135.824i 0.0246651 + 0.0144689i
\(446\) −2914.17 + 5047.50i −0.309395 + 0.535888i
\(447\) 2968.25 + 3165.60i 0.314079 + 0.334962i
\(448\) 9476.56 5471.29i 0.999387 0.576996i
\(449\) −5448.64 −0.572688 −0.286344 0.958127i \(-0.592440\pi\)
−0.286344 + 0.958127i \(0.592440\pi\)
\(450\) 3582.70 + 7504.11i 0.375312 + 0.786105i
\(451\) 15885.0 1.65852
\(452\) 1634.66 943.774i 0.170107 0.0982111i
\(453\) 9444.45 2207.73i 0.979556 0.228980i
\(454\) −1202.64 + 2083.04i −0.124323 + 0.215334i
\(455\) 187.231 + 109.832i 0.0192912 + 0.0113165i
\(456\) −6027.13 1824.62i −0.618961 0.187380i
\(457\) 45.6661 26.3653i 0.00467433 0.00269873i −0.497661 0.867372i \(-0.665808\pi\)
0.502335 + 0.864673i \(0.332474\pi\)
\(458\) 3930.53i 0.401008i
\(459\) −4692.67 5698.44i −0.477201 0.579478i
\(460\) 591.094 + 4.09059i 0.0599129 + 0.000414619i
\(461\) 1583.51 + 2742.72i 0.159982 + 0.277096i 0.934862 0.355012i \(-0.115523\pi\)
−0.774880 + 0.632108i \(0.782190\pi\)
\(462\) −2844.49 + 9396.03i −0.286446 + 0.946196i
\(463\) −11338.4 6546.21i −1.13810 0.657081i −0.192138 0.981368i \(-0.561542\pi\)
−0.945959 + 0.324287i \(0.894876\pi\)
\(464\) 5716.26 9900.86i 0.571920 0.990594i
\(465\) 2164.18 + 9556.05i 0.215831 + 0.953013i
\(466\) 1162.41 + 2013.35i 0.115553 + 0.200143i
\(467\) 13225.4i 1.31049i 0.755416 + 0.655246i \(0.227435\pi\)
−0.755416 + 0.655246i \(0.772565\pi\)
\(468\) 52.4601 + 3.37928i 0.00518156 + 0.000333776i
\(469\) −3396.77 −0.334431
\(470\) 3384.30 1922.83i 0.332141 0.188709i
\(471\) −8717.79 + 8174.29i −0.852854 + 0.799684i
\(472\) −608.743 351.458i −0.0593637 0.0342736i
\(473\) 12385.1 + 7150.52i 1.20394 + 0.695098i
\(474\) −5718.84 + 5362.31i −0.554167 + 0.519618i
\(475\) 3021.55 + 5404.88i 0.291870 + 0.522091i
\(476\) 1953.29 0.188086
\(477\) −4355.96 + 6535.02i −0.418125 + 0.627291i
\(478\) 6729.99i 0.643981i
\(479\) −4279.30 7411.96i −0.408196 0.707017i 0.586491 0.809955i \(-0.300509\pi\)
−0.994688 + 0.102939i \(0.967175\pi\)
\(480\) −4829.35 + 1093.72i −0.459227 + 0.104002i
\(481\) 211.879 366.985i 0.0200849 0.0347881i
\(482\) 7291.54 + 4209.77i 0.689047 + 0.397822i
\(483\) −793.761 + 2621.98i −0.0747772 + 0.247006i
\(484\) −248.328 430.117i −0.0233216 0.0403942i
\(485\) −15293.4 105.836i −1.43183 0.00990882i
\(486\) −7571.05 + 5457.56i −0.706646 + 0.509383i
\(487\) 19531.3i 1.81735i −0.417506 0.908674i \(-0.637096\pi\)
0.417506 0.908674i \(-0.362904\pi\)
\(488\) −15524.3 + 8962.96i −1.44007 + 0.831423i
\(489\) 223.310 + 67.6036i 0.0206512 + 0.00625182i
\(490\) 378.878 645.873i 0.0349306 0.0595460i
\(491\) 9744.11 16877.3i 0.895612 1.55125i 0.0625676 0.998041i \(-0.480071\pi\)
0.833045 0.553206i \(-0.186596\pi\)
\(492\) −3891.04 + 909.568i −0.356548 + 0.0833465i
\(493\) 11617.6 6707.43i 1.06132 0.612754i
\(494\) −123.162 −0.0112173
\(495\) 6741.92 9964.45i 0.612175 0.904785i
\(496\) 7562.83 0.684640
\(497\) 13376.8 7723.12i 1.20731 0.697041i
\(498\) −707.705 754.759i −0.0636807 0.0679148i
\(499\) −169.765 + 294.042i −0.0152299 + 0.0263790i −0.873540 0.486753i \(-0.838181\pi\)
0.858310 + 0.513132i \(0.171515\pi\)
\(500\) 2306.73 + 1396.43i 0.206320 + 0.124900i
\(501\) −4459.75 + 4181.71i −0.397698 + 0.372904i
\(502\) 6752.26 3898.42i 0.600335 0.346604i
\(503\) 5550.25i 0.491995i −0.969270 0.245998i \(-0.920884\pi\)
0.969270 0.245998i \(-0.0791156\pi\)
\(504\) 816.970 12682.7i 0.0722039 1.12090i
\(505\) −43.9782 + 6354.90i −0.00387526 + 0.559979i
\(506\) 1345.38 + 2330.27i 0.118201 + 0.204729i
\(507\) −11111.1 + 2597.33i −0.973298 + 0.227517i
\(508\) −1446.94 835.393i −0.126373 0.0729617i
\(509\) 2824.49 4892.17i 0.245960 0.426015i −0.716441 0.697647i \(-0.754230\pi\)
0.962401 + 0.271633i \(0.0875635\pi\)
\(510\) 7193.08 + 2232.04i 0.624539 + 0.193797i
\(511\) 4933.36 + 8544.83i 0.427082 + 0.739728i
\(512\) 12598.3i 1.08745i
\(513\) −5364.88 + 4417.99i −0.461726 + 0.380232i
\(514\) 13673.0 1.17332
\(515\) −2624.32 4618.97i −0.224546 0.395216i
\(516\) −3443.18 1042.37i −0.293755 0.0889294i
\(517\) −4877.08 2815.78i −0.414882 0.239532i
\(518\) −17240.0 9953.54i −1.46232 0.844273i
\(519\) −1263.30 5404.27i −0.106845 0.457074i
\(520\) −239.982 + 136.348i −0.0202383 + 0.0114986i
\(521\) −11159.0 −0.938359 −0.469180 0.883103i \(-0.655450\pi\)
−0.469180 + 0.883103i \(0.655450\pi\)
\(522\) −7518.50 15203.0i −0.630414 1.27474i
\(523\) 9476.61i 0.792320i 0.918182 + 0.396160i \(0.129657\pi\)
−0.918182 + 0.396160i \(0.870343\pi\)
\(524\) 1417.13 + 2454.55i 0.118145 + 0.204633i
\(525\) −9233.63 + 8420.87i −0.767597 + 0.700032i
\(526\) −5097.26 + 8828.72i −0.422531 + 0.731845i
\(527\) 7685.27 + 4437.10i 0.635248 + 0.366761i
\(528\) −6351.88 6774.21i −0.523542 0.558351i
\(529\) −5708.07 9886.67i −0.469144 0.812580i
\(530\) 55.4497 8012.54i 0.00454449 0.656684i
\(531\) −695.373 + 343.891i −0.0568298 + 0.0281047i
\(532\) 1838.95i 0.149866i
\(533\) −348.312 + 201.098i −0.0283059 + 0.0163424i
\(534\) −69.9678 299.316i −0.00567004 0.0242559i
\(535\) 8217.44 14008.2i 0.664058 1.13202i
\(536\) 2159.57 3740.48i 0.174028 0.301426i
\(537\) 4184.97 13823.9i 0.336303 1.11089i
\(538\) −2190.81 + 1264.86i −0.175562 + 0.101361i
\(539\) −1083.37 −0.0865754
\(540\) −1080.88 + 2826.85i −0.0861367 + 0.225274i
\(541\) 8285.40 0.658442 0.329221 0.944253i \(-0.393214\pi\)
0.329221 + 0.944253i \(0.393214\pi\)
\(542\) −7256.17 + 4189.35i −0.575054 + 0.332008i
\(543\) −5372.87 + 17747.8i −0.424626 + 1.40264i
\(544\) −2242.38 + 3883.92i −0.176730 + 0.306106i
\(545\) −18929.5 11104.3i −1.48780 0.872764i
\(546\) −56.5787 242.038i −0.00443469 0.0189712i
\(547\) 5991.42 3459.15i 0.468327 0.270389i −0.247212 0.968961i \(-0.579514\pi\)
0.715539 + 0.698573i \(0.246181\pi\)
\(548\) 138.023i 0.0107593i
\(549\) −1271.75 + 19742.7i −0.0988651 + 1.53479i
\(550\) −169.881 + 12273.4i −0.0131704 + 0.951524i
\(551\) −6314.82 10937.6i −0.488240 0.845657i
\(552\) −2382.64 2541.06i −0.183717 0.195932i
\(553\) −10203.2 5890.83i −0.784602 0.452990i
\(554\) 4396.51 7614.97i 0.337165 0.583988i
\(555\) 16563.5 + 17911.6i 1.26681 + 1.36992i
\(556\) 220.984 + 382.755i 0.0168558 + 0.0291950i
\(557\) 15622.7i 1.18843i −0.804305 0.594216i \(-0.797462\pi\)
0.804305 0.594216i \(-0.202538\pi\)
\(558\) 6222.84 9335.82i 0.472104 0.708274i
\(559\) −362.092 −0.0273969
\(560\) 4765.05 + 8386.82i 0.359572 + 0.632871i
\(561\) −2480.31 10610.5i −0.186664 0.798532i
\(562\) −12842.4 7414.56i −0.963921 0.556520i
\(563\) 7040.18 + 4064.65i 0.527013 + 0.304271i 0.739799 0.672828i \(-0.234920\pi\)
−0.212786 + 0.977099i \(0.568254\pi\)
\(564\) 1355.88 + 410.471i 0.101228 + 0.0306453i
\(565\) 5403.10 + 9509.83i 0.402319 + 0.708109i
\(566\) 11279.9 0.837686
\(567\) −11146.8 8513.52i −0.825609 0.630572i
\(568\) 19640.6i 1.45088i
\(569\) 4087.84 + 7080.34i 0.301179 + 0.521658i 0.976403 0.215955i \(-0.0692864\pi\)
−0.675224 + 0.737613i \(0.735953\pi\)
\(570\) 2101.39 6772.04i 0.154417 0.497630i
\(571\) −3939.42 + 6823.27i −0.288721 + 0.500079i −0.973505 0.228667i \(-0.926563\pi\)
0.684784 + 0.728746i \(0.259897\pi\)
\(572\) 67.2011 + 38.7986i 0.00491227 + 0.00283610i
\(573\) 16892.6 3948.79i 1.23158 0.287894i
\(574\) 9447.07 + 16362.8i 0.686957 + 1.18984i
\(575\) −47.4055 + 3424.90i −0.00343816 + 0.248397i
\(576\) 12777.5 + 8516.95i 0.924302 + 0.616099i
\(577\) 16673.4i 1.20299i −0.798878 0.601493i \(-0.794573\pi\)
0.798878 0.601493i \(-0.205427\pi\)
\(578\) −4575.74 + 2641.80i −0.329283 + 0.190112i
\(579\) −7356.83 + 6898.18i −0.528047 + 0.495127i
\(580\) −4743.83 2782.80i −0.339615 0.199223i
\(581\) 777.458 1346.60i 0.0555153 0.0961553i
\(582\) 11978.8 + 12775.3i 0.853159 + 0.909884i
\(583\) −10039.8 + 5796.46i −0.713215 + 0.411775i
\(584\) −12546.0 −0.888965
\(585\) −21.6847 + 303.842i −0.00153257 + 0.0214741i
\(586\) −15965.1 −1.12545
\(587\) 2608.63 1506.09i 0.183424 0.105900i −0.405477 0.914105i \(-0.632894\pi\)
0.588900 + 0.808206i \(0.299561\pi\)
\(588\) 265.374 62.0335i 0.0186119 0.00435071i
\(589\) 4177.37 7235.42i 0.292234 0.506164i
\(590\) 400.468 682.676i 0.0279441 0.0476362i
\(591\) 5151.03 + 1559.39i 0.358519 + 0.108536i
\(592\) 16307.9 9415.37i 1.13218 0.653664i
\(593\) 7922.71i 0.548645i −0.961638 0.274323i \(-0.911546\pi\)
0.961638 0.274323i \(-0.0884536\pi\)
\(594\) −13588.8 + 2267.03i −0.938642 + 0.156595i
\(595\) −78.3264 + 11318.2i −0.00539675 + 0.779836i
\(596\) −805.682 1395.48i −0.0553725 0.0959080i
\(597\) −2357.02 + 7785.77i −0.161585 + 0.533753i
\(598\) −59.0007 34.0641i −0.00403465 0.00232940i
\(599\) −11289.3 + 19553.6i −0.770061 + 1.33378i 0.167468 + 0.985878i \(0.446441\pi\)
−0.937529 + 0.347907i \(0.886892\pi\)
\(600\) −3402.49 15521.7i −0.231510 1.05612i
\(601\) −5309.35 9196.07i −0.360354 0.624152i 0.627665 0.778484i \(-0.284011\pi\)
−0.988019 + 0.154332i \(0.950678\pi\)
\(602\) 17010.2i 1.15163i
\(603\) −2113.07 4272.79i −0.142705 0.288560i
\(604\) −3601.47 −0.242619
\(605\) 2502.25 1421.68i 0.168150 0.0955362i
\(606\) 5308.52 4977.57i 0.355848 0.333663i
\(607\) 11769.8 + 6795.28i 0.787018 + 0.454385i 0.838912 0.544267i \(-0.183192\pi\)
−0.0518935 + 0.998653i \(0.516526\pi\)
\(608\) 3656.58 + 2111.12i 0.243904 + 0.140818i
\(609\) 18593.6 17434.4i 1.23719 1.16006i
\(610\) −9970.90 17549.5i −0.661819 1.16485i
\(611\) 142.587 0.00944102
\(612\) 1215.11 + 2457.04i 0.0802580 + 0.162288i
\(613\) 5457.57i 0.359591i 0.983704 + 0.179796i \(0.0575436\pi\)
−0.983704 + 0.179796i \(0.942456\pi\)
\(614\) −872.760 1511.66i −0.0573643 0.0993580i
\(615\) −5114.42 22582.9i −0.335338 1.48070i
\(616\) 9379.91 16246.5i 0.613518 1.06264i
\(617\) 5171.99 + 2986.05i 0.337466 + 0.194836i 0.659151 0.752011i \(-0.270916\pi\)
−0.321685 + 0.946847i \(0.604249\pi\)
\(618\) −1762.60 + 5822.28i −0.114729 + 0.378975i
\(619\) −419.816 727.143i −0.0272598 0.0472154i 0.852074 0.523422i \(-0.175345\pi\)
−0.879333 + 0.476206i \(0.842011\pi\)
\(620\) 25.1773 3638.14i 0.00163088 0.235663i
\(621\) −3791.97 + 632.617i −0.245034 + 0.0408793i
\(622\) 15361.2i 0.990238i
\(623\) 400.060 230.975i 0.0257272 0.0148536i
\(624\) 225.038 + 68.1265i 0.0144370 + 0.00437058i
\(625\) −8184.03 + 13310.2i −0.523778 + 0.851855i
\(626\) −3241.70 + 5614.79i −0.206972 + 0.358486i
\(627\) −9989.43 + 2335.12i −0.636267 + 0.148733i
\(628\) 3843.03 2218.77i 0.244194 0.140985i
\(629\) 22095.9 1.40067
\(630\) 14273.7 + 1018.69i 0.902666 + 0.0644217i
\(631\) −13699.4 −0.864284 −0.432142 0.901806i \(-0.642242\pi\)
−0.432142 + 0.901806i \(0.642242\pi\)
\(632\) 12973.8 7490.44i 0.816568 0.471446i
\(633\) 12031.9 + 12831.8i 0.755487 + 0.805718i
\(634\) 619.084 1072.29i 0.0387807 0.0671702i
\(635\) 4898.66 8350.74i 0.306138 0.521872i
\(636\) 2127.35 1994.72i 0.132634 0.124365i
\(637\) 23.7552 13.7151i 0.00147758 0.000853080i
\(638\) 25035.5i 1.55355i
\(639\) 18036.4 + 12022.3i 1.11660 + 0.744279i
\(640\) −8043.07 55.6610i −0.496766 0.00343780i
\(641\) 3969.68 + 6875.69i 0.244607 + 0.423671i 0.962021 0.272975i \(-0.0880078\pi\)
−0.717414 + 0.696647i \(0.754674\pi\)
\(642\) −18108.8 + 4233.11i −1.11324 + 0.260230i
\(643\) 6612.93 + 3817.98i 0.405581 + 0.234162i 0.688889 0.724867i \(-0.258099\pi\)
−0.283308 + 0.959029i \(0.591432\pi\)
\(644\) 508.617 880.950i 0.0311216 0.0539042i
\(645\) 6178.01 19909.5i 0.377145 1.21541i
\(646\) −3211.00 5561.62i −0.195565 0.338729i
\(647\) 22084.3i 1.34192i 0.741491 + 0.670962i \(0.234119\pi\)
−0.741491 + 0.670962i \(0.765881\pi\)
\(648\) 16461.8 6862.04i 0.997963 0.415997i
\(649\) −1145.10 −0.0692593
\(650\) −151.651 271.270i −0.00915117 0.0163694i
\(651\) 16138.1 + 4885.54i 0.971583 + 0.294131i
\(652\) −75.0294 43.3182i −0.00450671 0.00260195i
\(653\) −5748.65 3318.99i −0.344506 0.198900i 0.317757 0.948172i \(-0.397070\pi\)
−0.662263 + 0.749272i \(0.730404\pi\)
\(654\) 5720.24 + 24470.7i 0.342017 + 1.46312i
\(655\) −14279.6 + 8113.09i −0.851832 + 0.483977i
\(656\) −17872.6 −1.06373
\(657\) −7679.57 + 11521.3i −0.456025 + 0.684151i
\(658\) 6698.39i 0.396855i
\(659\) 11906.1 + 20622.0i 0.703789 + 1.21900i 0.967127 + 0.254295i \(0.0818433\pi\)
−0.263338 + 0.964704i \(0.584823\pi\)
\(660\) −3279.91 + 3033.05i −0.193440 + 0.178881i
\(661\) 499.912 865.873i 0.0294165 0.0509509i −0.850942 0.525259i \(-0.823968\pi\)
0.880359 + 0.474308i \(0.157302\pi\)
\(662\) 6587.20 + 3803.12i 0.386735 + 0.223282i
\(663\) 188.711 + 201.258i 0.0110542 + 0.0117892i
\(664\) 988.571 + 1712.26i 0.0577771 + 0.100073i
\(665\) 10655.7 + 73.7416i 0.621371 + 0.00430012i
\(666\) 1795.80 27878.2i 0.104483 1.62201i
\(667\) 6986.19i 0.405557i
\(668\) 1965.97 1135.06i 0.113871 0.0657435i
\(669\) −2797.88 11969.1i −0.161692 0.691705i
\(670\) 4194.77 + 2460.71i 0.241878 + 0.141889i
\(671\) −14601.4 + 25290.3i −0.840059 + 1.45502i
\(672\) −2469.01 + 8155.72i −0.141732 + 0.468175i
\(673\) 9198.98 5311.03i 0.526886 0.304198i −0.212861 0.977082i \(-0.568278\pi\)
0.739748 + 0.672884i \(0.234945\pi\)
\(674\) −14748.1 −0.842843
\(675\) −16336.7 6376.48i −0.931555 0.363601i
\(676\) 4237.02 0.241069
\(677\) −21570.8 + 12453.9i −1.22457 + 0.707005i −0.965888 0.258959i \(-0.916621\pi\)
−0.258680 + 0.965963i \(0.583287\pi\)
\(678\) 3628.95 11987.3i 0.205559 0.679010i
\(679\) −13159.5 + 22792.9i −0.743763 + 1.28823i
\(680\) −12413.7 7282.07i −0.700065 0.410668i
\(681\) −1154.65 4939.48i −0.0649725 0.277946i
\(682\) 14342.6 8280.72i 0.805289 0.464934i
\(683\) 17115.6i 0.958874i 0.877576 + 0.479437i \(0.159159\pi\)
−0.877576 + 0.479437i \(0.840841\pi\)
\(684\) 2313.22 1143.98i 0.129310 0.0639493i
\(685\) 799.770 + 5.53470i 0.0446097 + 0.000308716i
\(686\) 7485.62 + 12965.5i 0.416622 + 0.721610i
\(687\) −5669.91 6046.89i −0.314877 0.335813i
\(688\) −13934.7 8045.23i −0.772176 0.445816i
\(689\) 146.762 254.199i 0.00811493 0.0140555i
\(690\) 2879.67 2662.94i 0.158880 0.146922i
\(691\) −14449.9 25028.0i −0.795514 1.37787i −0.922512 0.385967i \(-0.873868\pi\)
0.126999 0.991903i \(-0.459466\pi\)
\(692\) 2060.82i 0.113209i
\(693\) −9177.96 18558.5i −0.503091 1.01729i
\(694\) 2480.23 0.135660
\(695\) −2226.72 + 1265.13i −0.121531 + 0.0690492i
\(696\) 7377.30 + 31559.4i 0.401775 + 1.71876i
\(697\) −18161.9 10485.8i −0.986989 0.569839i
\(698\) 4159.45 + 2401.46i 0.225555 + 0.130224i
\(699\) −4692.62 1420.61i −0.253921 0.0768706i
\(700\) 4050.39 2264.33i 0.218700 0.122262i
\(701\) 576.680 0.0310712 0.0155356 0.999879i \(-0.495055\pi\)
0.0155356 + 0.999879i \(0.495055\pi\)
\(702\) 269.263 221.738i 0.0144767 0.0119216i
\(703\) 20802.5i 1.11605i
\(704\) 11333.5 + 19630.2i 0.606742 + 1.05091i
\(705\) −2432.82 + 7840.12i −0.129965 + 0.418831i
\(706\) 3192.82 5530.12i 0.170203 0.294800i
\(707\) 9471.15 + 5468.17i 0.503818 + 0.290879i
\(708\) 280.495 65.5683i 0.0148893 0.00348052i
\(709\) 2858.78 + 4951.55i 0.151430 + 0.262284i 0.931753 0.363092i \(-0.118279\pi\)
−0.780324 + 0.625376i \(0.784946\pi\)
\(710\) −22114.3 153.039i −1.16892 0.00808938i
\(711\) 1062.81 16499.2i 0.0560600 0.870279i
\(712\) 587.389i 0.0309176i
\(713\) 4002.33 2310.75i 0.210222 0.121372i
\(714\) 9454.62 8865.18i 0.495560 0.464665i
\(715\) −227.511 + 387.838i −0.0118999 + 0.0202858i
\(716\) −2681.60 + 4644.66i −0.139966 + 0.242429i
\(717\) −9708.22 10353.7i −0.505663 0.539284i
\(718\) −1292.96 + 746.490i −0.0672044 + 0.0388005i
\(719\) 14799.9 0.767655 0.383827 0.923405i \(-0.374606\pi\)
0.383827 + 0.923405i \(0.374606\pi\)
\(720\) −7585.50 + 11211.3i −0.392632 + 0.580304i
\(721\) −9142.12 −0.472219
\(722\) 9399.36 5426.72i 0.484498 0.279725i
\(723\) −17290.3 + 4041.78i −0.889398 + 0.207905i
\(724\) 3442.76 5963.04i 0.176725 0.306098i
\(725\) 16315.0 27376.3i 0.835758 1.40239i
\(726\) −3154.12 954.860i −0.161240 0.0488129i
\(727\) −5551.57 + 3205.20i −0.283214 + 0.163513i −0.634877 0.772613i \(-0.718949\pi\)
0.351664 + 0.936126i \(0.385616\pi\)
\(728\) 474.985i 0.0241815i
\(729\) 3774.92 19317.6i 0.191786 0.981437i
\(730\) 97.7581 14126.1i 0.00495642 0.716208i
\(731\) −9440.23 16351.0i −0.477646 0.827308i
\(732\) 2128.51 7030.97i 0.107476 0.355017i
\(733\) 15475.2 + 8934.62i 0.779796 + 0.450215i 0.836358 0.548184i \(-0.184681\pi\)
−0.0565621 + 0.998399i \(0.518014\pi\)
\(734\) 12023.9 20826.0i 0.604647 1.04728i
\(735\) 348.809 + 1540.18i 0.0175048 + 0.0772931i
\(736\) 1167.79 + 2022.66i 0.0584853 + 0.101299i
\(737\) 7036.21i 0.351672i
\(738\) −14705.9 + 22062.5i −0.733511 + 1.10045i
\(739\) −11099.7 −0.552516 −0.276258 0.961084i \(-0.589094\pi\)
−0.276258 + 0.961084i \(0.589094\pi\)
\(740\) −4475.02 7876.34i −0.222304 0.391270i
\(741\) 189.478 177.665i 0.00939358 0.00880795i
\(742\) −11941.7 6894.52i −0.590825 0.341113i
\(743\) −9402.97 5428.81i −0.464282 0.268053i 0.249561 0.968359i \(-0.419714\pi\)
−0.713843 + 0.700306i \(0.753047\pi\)
\(744\) −15640.0 + 14665.0i −0.770687 + 0.722639i
\(745\) 8118.36 4612.53i 0.399240 0.226832i
\(746\) 19276.2 0.946049
\(747\) 2177.53 + 140.268i 0.106655 + 0.00687032i
\(748\) 4046.13i 0.197782i
\(749\) −13974.1 24203.9i −0.681715 1.18076i
\(750\) 17503.2 3710.10i 0.852169 0.180631i
\(751\) 16117.0 27915.4i 0.783111 1.35639i −0.147010 0.989135i \(-0.546965\pi\)
0.930121 0.367253i \(-0.119702\pi\)
\(752\) 5487.33 + 3168.11i 0.266093 + 0.153629i
\(753\) −4764.38 + 15737.8i −0.230576 + 0.761645i
\(754\) 316.940 + 548.956i 0.0153081 + 0.0265143i
\(755\) 144.418 20868.5i 0.00696147 1.00594i
\(756\) 3310.81 + 4020.41i 0.159276 + 0.193414i
\(757\) 9410.28i 0.451813i 0.974149 + 0.225906i \(0.0725344\pi\)
−0.974149 + 0.225906i \(0.927466\pi\)
\(758\) 5828.27 3364.96i 0.279278 0.161241i
\(759\) −5431.27 1644.23i −0.259740 0.0786321i
\(760\) −6855.81 + 11687.1i −0.327219 + 0.557810i
\(761\) −17383.6 + 30109.2i −0.828060 + 1.43424i 0.0714983 + 0.997441i \(0.477222\pi\)
−0.899558 + 0.436801i \(0.856111\pi\)
\(762\) −10795.2 + 2523.48i −0.513215 + 0.119969i
\(763\) −32707.0 + 18883.4i −1.55187 + 0.895971i
\(764\) −6441.68 −0.305042
\(765\) −14285.9 + 6942.36i −0.675175 + 0.328107i
\(766\) 31044.2 1.46432
\(767\) 25.1089 14.4966i 0.00118204 0.000682454i
\(768\) −9871.30 10527.6i −0.463802 0.494640i
\(769\) −14543.2 + 25189.6i −0.681980 + 1.18122i 0.292396 + 0.956297i \(0.405548\pi\)
−0.974376 + 0.224927i \(0.927786\pi\)
\(770\) 18219.7 + 10687.9i 0.852715 + 0.500215i
\(771\)