Properties

Label 63.4.i.a.5.11
Level $63$
Weight $4$
Character 63.5
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.i (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.11
Character \(\chi\) \(=\) 63.5
Dual form 63.4.i.a.38.12

$q$-expansion

\(f(q)\) \(=\) \(q-0.747815i q^{2} +(4.77381 - 2.05201i) q^{3} +7.44077 q^{4} +(4.35110 + 7.53632i) q^{5} +(-1.53452 - 3.56993i) q^{6} +(-11.6200 + 14.4213i) q^{7} -11.5468i q^{8} +(18.5785 - 19.5918i) q^{9} +O(q^{10})\) \(q-0.747815i q^{2} +(4.77381 - 2.05201i) q^{3} +7.44077 q^{4} +(4.35110 + 7.53632i) q^{5} +(-1.53452 - 3.56993i) q^{6} +(-11.6200 + 14.4213i) q^{7} -11.5468i q^{8} +(18.5785 - 19.5918i) q^{9} +(5.63577 - 3.25382i) q^{10} +(-35.9461 - 20.7535i) q^{11} +(35.5208 - 15.2685i) q^{12} +(33.0053 + 19.0556i) q^{13} +(10.7845 + 8.68963i) q^{14} +(36.2359 + 27.0485i) q^{15} +50.8913 q^{16} +(-39.9685 - 69.2274i) q^{17} +(-14.6510 - 13.8933i) q^{18} +(-49.4113 - 28.5276i) q^{19} +(32.3755 + 56.0761i) q^{20} +(-25.8791 + 92.6891i) q^{21} +(-15.5198 + 26.8811i) q^{22} +(-153.298 + 88.5068i) q^{23} +(-23.6942 - 55.1224i) q^{24} +(24.6359 - 42.6706i) q^{25} +(14.2501 - 24.6818i) q^{26} +(48.4877 - 131.651i) q^{27} +(-86.4620 + 107.306i) q^{28} +(-60.1430 + 34.7236i) q^{29} +(20.2272 - 27.0978i) q^{30} +260.805i q^{31} -130.432i q^{32} +(-214.186 - 25.3115i) q^{33} +(-51.7693 + 29.8890i) q^{34} +(-159.244 - 24.8237i) q^{35} +(138.238 - 145.778i) q^{36} +(-74.9359 + 129.793i) q^{37} +(-21.3334 + 36.9505i) q^{38} +(196.663 + 23.2407i) q^{39} +(87.0207 - 50.2414i) q^{40} +(54.7122 - 94.7643i) q^{41} +(69.3143 + 19.3528i) q^{42} +(124.193 + 215.108i) q^{43} +(-267.467 - 154.422i) q^{44} +(228.487 + 54.7678i) q^{45} +(66.1867 + 114.639i) q^{46} +295.057 q^{47} +(242.945 - 104.429i) q^{48} +(-72.9497 - 335.153i) q^{49} +(-31.9097 - 18.4231i) q^{50} +(-332.857 - 248.463i) q^{51} +(245.585 + 141.788i) q^{52} +(-263.613 + 152.197i) q^{53} +(-98.4504 - 36.2598i) q^{54} -361.202i q^{55} +(166.521 + 134.175i) q^{56} +(-294.419 - 34.7930i) q^{57} +(25.9668 + 44.9759i) q^{58} +720.693 q^{59} +(269.623 + 201.262i) q^{60} -648.357i q^{61} +195.034 q^{62} +(66.6571 + 495.584i) q^{63} +309.591 q^{64} +331.651i q^{65} +(-18.9283 + 160.172i) q^{66} -194.853 q^{67} +(-297.396 - 515.106i) q^{68} +(-550.200 + 737.084i) q^{69} +(-18.5635 + 119.085i) q^{70} +98.7349i q^{71} +(-226.223 - 214.523i) q^{72} +(226.289 - 130.648i) q^{73} +(97.0610 + 56.0382i) q^{74} +(30.0465 - 254.255i) q^{75} +(-367.658 - 212.268i) q^{76} +(716.989 - 277.235i) q^{77} +(17.3797 - 147.068i) q^{78} -1154.25 q^{79} +(221.433 + 383.533i) q^{80} +(-38.6779 - 727.973i) q^{81} +(-70.8661 - 40.9146i) q^{82} +(285.406 + 494.337i) q^{83} +(-192.560 + 689.679i) q^{84} +(347.813 - 602.431i) q^{85} +(160.861 - 92.8731i) q^{86} +(-215.858 + 289.178i) q^{87} +(-239.638 + 415.064i) q^{88} +(-89.5115 + 155.038i) q^{89} +(40.9561 - 170.866i) q^{90} +(-658.330 + 254.553i) q^{91} +(-1140.66 + 658.559i) q^{92} +(535.175 + 1245.04i) q^{93} -220.648i q^{94} -496.506i q^{95} +(-267.648 - 622.657i) q^{96} +(956.569 - 552.275i) q^{97} +(-250.632 + 54.5529i) q^{98} +(-1074.42 + 318.681i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{3} - 162q^{4} - 3q^{5} + 24q^{6} + 5q^{7} - 45q^{9} + O(q^{10}) \) \( 44q - 3q^{3} - 162q^{4} - 3q^{5} + 24q^{6} + 5q^{7} - 45q^{9} - 6q^{10} + 9q^{11} + 186q^{12} - 36q^{13} + 54q^{14} - 141q^{15} + 526q^{16} - 72q^{17} - 54q^{18} - 6q^{19} + 24q^{20} - 81q^{21} + 14q^{22} - 285q^{23} - 114q^{24} - 349q^{25} - 96q^{26} + 432q^{27} - 156q^{28} - 132q^{29} - 447q^{30} - 3q^{33} + 24q^{34} + 765q^{35} + 1122q^{36} + 82q^{37} - 873q^{38} + 306q^{39} + 420q^{40} + 618q^{41} - 282q^{42} + 82q^{43} + 603q^{44} + 291q^{45} + 266q^{46} - 402q^{47} - 1569q^{48} - 79q^{49} - 1845q^{50} + 453q^{51} + 189q^{52} + 564q^{53} - 2385q^{54} + 66q^{56} + 1170q^{57} + 269q^{58} + 1494q^{59} + 2265q^{60} - 2904q^{62} - 636q^{63} - 1144q^{64} - 372q^{66} - 590q^{67} + 3504q^{68} - 1005q^{69} - 105q^{70} + 1830q^{72} - 6q^{73} + 1515q^{74} - 33q^{75} - 144q^{76} - 4443q^{77} - 5985q^{78} + 1102q^{79} - 4239q^{80} - 4017q^{81} + 18q^{82} + 1830q^{83} + 3165q^{84} - 237q^{85} + 1209q^{86} + 2013q^{87} - 623q^{88} + 4266q^{89} + 9993q^{90} - 1140q^{91} + 7896q^{92} - 729q^{93} + 3975q^{96} - 792q^{97} + 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.747815i 0.264392i −0.991224 0.132196i \(-0.957797\pi\)
0.991224 0.132196i \(-0.0422029\pi\)
\(3\) 4.77381 2.05201i 0.918720 0.394910i
\(4\) 7.44077 0.930097
\(5\) 4.35110 + 7.53632i 0.389174 + 0.674069i 0.992339 0.123548i \(-0.0394271\pi\)
−0.603165 + 0.797617i \(0.706094\pi\)
\(6\) −1.53452 3.56993i −0.104411 0.242903i
\(7\) −11.6200 + 14.4213i −0.627423 + 0.778679i
\(8\) 11.5468i 0.510303i
\(9\) 18.5785 19.5918i 0.688093 0.725623i
\(10\) 5.63577 3.25382i 0.178219 0.102895i
\(11\) −35.9461 20.7535i −0.985288 0.568856i −0.0814258 0.996679i \(-0.525947\pi\)
−0.903863 + 0.427823i \(0.859281\pi\)
\(12\) 35.5208 15.2685i 0.854498 0.367304i
\(13\) 33.0053 + 19.0556i 0.704155 + 0.406544i 0.808893 0.587956i \(-0.200067\pi\)
−0.104738 + 0.994500i \(0.533400\pi\)
\(14\) 10.7845 + 8.68963i 0.205877 + 0.165886i
\(15\) 36.2359 + 27.0485i 0.623738 + 0.465592i
\(16\) 50.8913 0.795176
\(17\) −39.9685 69.2274i −0.570222 0.987654i −0.996543 0.0830818i \(-0.973524\pi\)
0.426320 0.904572i \(-0.359810\pi\)
\(18\) −14.6510 13.8933i −0.191849 0.181927i
\(19\) −49.4113 28.5276i −0.596617 0.344457i 0.171092 0.985255i \(-0.445270\pi\)
−0.767710 + 0.640798i \(0.778604\pi\)
\(20\) 32.3755 + 56.0761i 0.361969 + 0.626949i
\(21\) −25.8791 + 92.6891i −0.268918 + 0.963163i
\(22\) −15.5198 + 26.8811i −0.150401 + 0.260503i
\(23\) −153.298 + 88.5068i −1.38978 + 0.802389i −0.993290 0.115651i \(-0.963105\pi\)
−0.396488 + 0.918040i \(0.629771\pi\)
\(24\) −23.6942 55.1224i −0.201523 0.468826i
\(25\) 24.6359 42.6706i 0.197087 0.341365i
\(26\) 14.2501 24.6818i 0.107487 0.186173i
\(27\) 48.4877 131.651i 0.345610 0.938378i
\(28\) −86.4620 + 107.306i −0.583564 + 0.724247i
\(29\) −60.1430 + 34.7236i −0.385113 + 0.222345i −0.680041 0.733174i \(-0.738038\pi\)
0.294927 + 0.955520i \(0.404705\pi\)
\(30\) 20.2272 27.0978i 0.123099 0.164912i
\(31\) 260.805i 1.51103i 0.655130 + 0.755517i \(0.272614\pi\)
−0.655130 + 0.755517i \(0.727386\pi\)
\(32\) 130.432i 0.720542i
\(33\) −214.186 25.3115i −1.12985 0.133520i
\(34\) −51.7693 + 29.8890i −0.261128 + 0.150762i
\(35\) −159.244 24.8237i −0.769060 0.119885i
\(36\) 138.238 145.778i 0.639993 0.674899i
\(37\) −74.9359 + 129.793i −0.332957 + 0.576698i −0.983090 0.183122i \(-0.941380\pi\)
0.650134 + 0.759820i \(0.274713\pi\)
\(38\) −21.3334 + 36.9505i −0.0910719 + 0.157741i
\(39\) 196.663 + 23.2407i 0.807469 + 0.0954227i
\(40\) 87.0207 50.2414i 0.343980 0.198597i
\(41\) 54.7122 94.7643i 0.208405 0.360968i −0.742807 0.669505i \(-0.766506\pi\)
0.951212 + 0.308537i \(0.0998395\pi\)
\(42\) 69.3143 + 19.3528i 0.254653 + 0.0710999i
\(43\) 124.193 + 215.108i 0.440446 + 0.762875i 0.997723 0.0674517i \(-0.0214869\pi\)
−0.557276 + 0.830327i \(0.688154\pi\)
\(44\) −267.467 154.422i −0.916413 0.529092i
\(45\) 228.487 + 54.7678i 0.756908 + 0.181429i
\(46\) 66.1867 + 114.639i 0.212146 + 0.367447i
\(47\) 295.057 0.915711 0.457855 0.889027i \(-0.348618\pi\)
0.457855 + 0.889027i \(0.348618\pi\)
\(48\) 242.945 104.429i 0.730544 0.314023i
\(49\) −72.9497 335.153i −0.212681 0.977122i
\(50\) −31.9097 18.4231i −0.0902543 0.0521084i
\(51\) −332.857 248.463i −0.913909 0.682191i
\(52\) 245.585 + 141.788i 0.654932 + 0.378125i
\(53\) −263.613 + 152.197i −0.683208 + 0.394450i −0.801062 0.598581i \(-0.795732\pi\)
0.117855 + 0.993031i \(0.462398\pi\)
\(54\) −98.4504 36.2598i −0.248100 0.0913766i
\(55\) 361.202i 0.885537i
\(56\) 166.521 + 134.175i 0.397362 + 0.320176i
\(57\) −294.419 34.7930i −0.684154 0.0808499i
\(58\) 25.9668 + 44.9759i 0.0587864 + 0.101821i
\(59\) 720.693 1.59027 0.795137 0.606429i \(-0.207399\pi\)
0.795137 + 0.606429i \(0.207399\pi\)
\(60\) 269.623 + 201.262i 0.580137 + 0.433046i
\(61\) 648.357i 1.36088i −0.732804 0.680440i \(-0.761789\pi\)
0.732804 0.680440i \(-0.238211\pi\)
\(62\) 195.034 0.399506
\(63\) 66.6571 + 495.584i 0.133302 + 0.991075i
\(64\) 309.591 0.604671
\(65\) 331.651i 0.632866i
\(66\) −18.9283 + 160.172i −0.0353017 + 0.298724i
\(67\) −194.853 −0.355299 −0.177649 0.984094i \(-0.556849\pi\)
−0.177649 + 0.984094i \(0.556849\pi\)
\(68\) −297.396 515.106i −0.530362 0.918614i
\(69\) −550.200 + 737.084i −0.959946 + 1.28601i
\(70\) −18.5635 + 119.085i −0.0316966 + 0.203334i
\(71\) 98.7349i 0.165038i 0.996590 + 0.0825188i \(0.0262965\pi\)
−0.996590 + 0.0825188i \(0.973704\pi\)
\(72\) −226.223 214.523i −0.370287 0.351136i
\(73\) 226.289 130.648i 0.362809 0.209468i −0.307503 0.951547i \(-0.599493\pi\)
0.670312 + 0.742079i \(0.266160\pi\)
\(74\) 97.0610 + 56.0382i 0.152475 + 0.0880312i
\(75\) 30.0465 254.255i 0.0462597 0.391450i
\(76\) −367.658 212.268i −0.554912 0.320379i
\(77\) 716.989 277.235i 1.06115 0.410310i
\(78\) 17.3797 147.068i 0.0252290 0.213489i
\(79\) −1154.25 −1.64384 −0.821918 0.569606i \(-0.807096\pi\)
−0.821918 + 0.569606i \(0.807096\pi\)
\(80\) 221.433 + 383.533i 0.309462 + 0.536004i
\(81\) −38.6779 727.973i −0.0530561 0.998592i
\(82\) −70.8661 40.9146i −0.0954372 0.0551007i
\(83\) 285.406 + 494.337i 0.377438 + 0.653741i 0.990689 0.136147i \(-0.0434719\pi\)
−0.613251 + 0.789888i \(0.710139\pi\)
\(84\) −192.560 + 689.679i −0.250120 + 0.895835i
\(85\) 347.813 602.431i 0.443831 0.768739i
\(86\) 160.861 92.8731i 0.201699 0.116451i
\(87\) −215.858 + 289.178i −0.266005 + 0.356358i
\(88\) −239.638 + 415.064i −0.290289 + 0.502796i
\(89\) −89.5115 + 155.038i −0.106609 + 0.184652i −0.914394 0.404824i \(-0.867333\pi\)
0.807785 + 0.589477i \(0.200666\pi\)
\(90\) 40.9561 170.866i 0.0479684 0.200121i
\(91\) −658.330 + 254.553i −0.758370 + 0.293236i
\(92\) −1140.66 + 658.559i −1.29263 + 0.746299i
\(93\) 535.175 + 1245.04i 0.596721 + 1.38822i
\(94\) 220.648i 0.242107i
\(95\) 496.506i 0.536215i
\(96\) −267.648 622.657i −0.284549 0.661976i
\(97\) 956.569 552.275i 1.00129 0.578093i 0.0926581 0.995698i \(-0.470464\pi\)
0.908629 + 0.417605i \(0.137130\pi\)
\(98\) −250.632 + 54.5529i −0.258344 + 0.0562314i
\(99\) −1074.42 + 318.681i −1.09075 + 0.323521i
\(100\) 183.310 317.502i 0.183310 0.317502i
\(101\) −0.375397 + 0.650207i −0.000369836 + 0.000640575i −0.866210 0.499680i \(-0.833451\pi\)
0.865840 + 0.500320i \(0.166784\pi\)
\(102\) −185.804 + 248.916i −0.180366 + 0.241631i
\(103\) 652.141 376.514i 0.623858 0.360184i −0.154512 0.987991i \(-0.549380\pi\)
0.778369 + 0.627807i \(0.216047\pi\)
\(104\) 220.032 381.107i 0.207461 0.359332i
\(105\) −811.138 + 208.266i −0.753894 + 0.193569i
\(106\) 113.815 + 197.134i 0.104290 + 0.180635i
\(107\) −1089.54 629.045i −0.984388 0.568337i −0.0807962 0.996731i \(-0.525746\pi\)
−0.903592 + 0.428394i \(0.859080\pi\)
\(108\) 360.786 979.584i 0.321450 0.872783i
\(109\) −110.812 191.932i −0.0973748 0.168658i 0.813222 0.581953i \(-0.197711\pi\)
−0.910597 + 0.413295i \(0.864378\pi\)
\(110\) −270.112 −0.234129
\(111\) −91.3937 + 773.376i −0.0781505 + 0.661311i
\(112\) −591.358 + 733.920i −0.498912 + 0.619187i
\(113\) 1345.36 + 776.746i 1.12001 + 0.646638i 0.941404 0.337282i \(-0.109508\pi\)
0.178607 + 0.983921i \(0.442841\pi\)
\(114\) −26.0187 + 220.171i −0.0213761 + 0.180885i
\(115\) −1334.03 770.203i −1.08173 0.624538i
\(116\) −447.511 + 258.370i −0.358192 + 0.206803i
\(117\) 986.523 292.608i 0.779522 0.231211i
\(118\) 538.945i 0.420457i
\(119\) 1462.79 + 228.026i 1.12684 + 0.175657i
\(120\) 312.324 418.410i 0.237593 0.318296i
\(121\) 195.917 + 339.338i 0.147195 + 0.254950i
\(122\) −484.851 −0.359806
\(123\) 66.7283 564.656i 0.0489161 0.413930i
\(124\) 1940.59i 1.40541i
\(125\) 1516.55 1.08515
\(126\) 370.605 49.8472i 0.262033 0.0352440i
\(127\) 2425.06 1.69440 0.847202 0.531271i \(-0.178285\pi\)
0.847202 + 0.531271i \(0.178285\pi\)
\(128\) 1274.97i 0.880412i
\(129\) 1034.28 + 772.040i 0.705914 + 0.526933i
\(130\) 248.014 0.167325
\(131\) −24.4173 42.2921i −0.0162851 0.0282067i 0.857768 0.514037i \(-0.171851\pi\)
−0.874053 + 0.485830i \(0.838517\pi\)
\(132\) −1593.71 188.337i −1.05087 0.124187i
\(133\) 985.567 381.085i 0.642553 0.248453i
\(134\) 145.714i 0.0939384i
\(135\) 1203.14 207.407i 0.767034 0.132228i
\(136\) −799.358 + 461.510i −0.504003 + 0.290986i
\(137\) 1327.03 + 766.160i 0.827559 + 0.477792i 0.853016 0.521884i \(-0.174771\pi\)
−0.0254569 + 0.999676i \(0.508104\pi\)
\(138\) 551.202 + 411.448i 0.340011 + 0.253802i
\(139\) −638.674 368.739i −0.389724 0.225007i 0.292317 0.956322i \(-0.405574\pi\)
−0.682040 + 0.731314i \(0.738907\pi\)
\(140\) −1184.90 184.707i −0.715300 0.111504i
\(141\) 1408.54 605.459i 0.841282 0.361623i
\(142\) 73.8354 0.0436347
\(143\) −790.942 1369.95i −0.462531 0.801126i
\(144\) 945.484 997.052i 0.547155 0.576998i
\(145\) −523.376 302.172i −0.299752 0.173062i
\(146\) −97.7003 169.222i −0.0553817 0.0959240i
\(147\) −1035.98 1450.26i −0.581269 0.813711i
\(148\) −557.581 + 965.759i −0.309682 + 0.536385i
\(149\) 1278.04 737.878i 0.702693 0.405700i −0.105657 0.994403i \(-0.533694\pi\)
0.808350 + 0.588703i \(0.200361\pi\)
\(150\) −190.135 22.4692i −0.103497 0.0122307i
\(151\) 637.438 1104.08i 0.343536 0.595022i −0.641550 0.767081i \(-0.721709\pi\)
0.985087 + 0.172059i \(0.0550418\pi\)
\(152\) −329.404 + 570.544i −0.175778 + 0.304456i
\(153\) −2098.85 503.088i −1.10903 0.265832i
\(154\) −207.320 536.175i −0.108483 0.280560i
\(155\) −1965.51 + 1134.79i −1.01854 + 0.588055i
\(156\) 1463.33 + 172.929i 0.751025 + 0.0887523i
\(157\) 1984.00i 1.00854i 0.863547 + 0.504268i \(0.168238\pi\)
−0.863547 + 0.504268i \(0.831762\pi\)
\(158\) 863.164i 0.434618i
\(159\) −946.128 + 1267.49i −0.471904 + 0.632194i
\(160\) 982.977 567.522i 0.485695 0.280416i
\(161\) 504.945 3239.22i 0.247175 1.58563i
\(162\) −544.389 + 28.9239i −0.264020 + 0.0140276i
\(163\) −1836.59 + 3181.06i −0.882532 + 1.52859i −0.0340145 + 0.999421i \(0.510829\pi\)
−0.848517 + 0.529168i \(0.822504\pi\)
\(164\) 407.101 705.119i 0.193837 0.335735i
\(165\) −741.191 1724.31i −0.349707 0.813560i
\(166\) 369.673 213.431i 0.172844 0.0997917i
\(167\) −2007.55 + 3477.17i −0.930231 + 1.61121i −0.147306 + 0.989091i \(0.547060\pi\)
−0.782925 + 0.622116i \(0.786273\pi\)
\(168\) 1070.27 + 298.822i 0.491505 + 0.137230i
\(169\) −372.268 644.787i −0.169444 0.293485i
\(170\) −450.507 260.100i −0.203249 0.117346i
\(171\) −1476.90 + 438.056i −0.660474 + 0.195900i
\(172\) 924.089 + 1600.57i 0.409658 + 0.709548i
\(173\) −2093.51 −0.920037 −0.460019 0.887909i \(-0.652157\pi\)
−0.460019 + 0.887909i \(0.652157\pi\)
\(174\) 216.252 + 161.422i 0.0942183 + 0.0703297i
\(175\) 329.097 + 851.117i 0.142157 + 0.367648i
\(176\) −1829.35 1056.17i −0.783478 0.452341i
\(177\) 3440.45 1478.87i 1.46102 0.628015i
\(178\) 115.940 + 66.9380i 0.0488206 + 0.0281866i
\(179\) −3194.00 + 1844.06i −1.33369 + 0.770008i −0.985863 0.167551i \(-0.946414\pi\)
−0.347829 + 0.937558i \(0.613081\pi\)
\(180\) 1700.12 + 407.515i 0.703997 + 0.168746i
\(181\) 1648.55i 0.676995i −0.940967 0.338497i \(-0.890081\pi\)
0.940967 0.338497i \(-0.109919\pi\)
\(182\) 190.359 + 492.309i 0.0775293 + 0.200507i
\(183\) −1330.44 3095.13i −0.537424 1.25027i
\(184\) 1021.97 + 1770.11i 0.409461 + 0.709208i
\(185\) −1304.21 −0.518312
\(186\) 931.056 400.212i 0.367034 0.157769i
\(187\) 3317.95i 1.29750i
\(188\) 2195.45 0.851700
\(189\) 1335.15 + 2229.04i 0.513852 + 0.857879i
\(190\) −371.295 −0.141771
\(191\) 3667.20i 1.38926i −0.719366 0.694631i \(-0.755568\pi\)
0.719366 0.694631i \(-0.244432\pi\)
\(192\) 1477.93 635.285i 0.555523 0.238790i
\(193\) −342.125 −0.127600 −0.0637998 0.997963i \(-0.520322\pi\)
−0.0637998 + 0.997963i \(0.520322\pi\)
\(194\) −413.000 715.336i −0.152844 0.264733i
\(195\) 680.551 + 1583.24i 0.249925 + 0.581426i
\(196\) −542.802 2493.80i −0.197814 0.908817i
\(197\) 468.339i 0.169380i 0.996407 + 0.0846898i \(0.0269899\pi\)
−0.996407 + 0.0846898i \(0.973010\pi\)
\(198\) 238.314 + 803.471i 0.0855366 + 0.288385i
\(199\) −1359.11 + 784.682i −0.484144 + 0.279521i −0.722142 0.691745i \(-0.756842\pi\)
0.237998 + 0.971266i \(0.423509\pi\)
\(200\) −492.711 284.467i −0.174200 0.100574i
\(201\) −930.189 + 399.839i −0.326420 + 0.140311i
\(202\) 0.486235 + 0.280728i 0.000169363 + 9.77818e-5i
\(203\) 198.103 1270.83i 0.0684933 0.439384i
\(204\) −2476.72 1848.76i −0.850023 0.634504i
\(205\) 952.232 0.324423
\(206\) −281.563 487.681i −0.0952300 0.164943i
\(207\) −1114.05 + 4647.71i −0.374065 + 1.56057i
\(208\) 1679.68 + 969.764i 0.559927 + 0.323274i
\(209\) 1184.10 + 2050.92i 0.391893 + 0.678779i
\(210\) 155.745 + 606.581i 0.0511781 + 0.199324i
\(211\) 1244.68 2155.85i 0.406101 0.703387i −0.588348 0.808608i \(-0.700222\pi\)
0.994449 + 0.105221i \(0.0335549\pi\)
\(212\) −1961.48 + 1132.46i −0.635449 + 0.366877i
\(213\) 202.605 + 471.341i 0.0651749 + 0.151623i
\(214\) −470.409 + 814.772i −0.150264 + 0.260265i
\(215\) −1080.75 + 1871.91i −0.342821 + 0.593783i
\(216\) −1520.15 559.879i −0.478857 0.176366i
\(217\) −3761.16 3030.57i −1.17661 0.948057i
\(218\) −143.530 + 82.8668i −0.0445920 + 0.0257452i
\(219\) 812.168 1088.03i 0.250599 0.335719i
\(220\) 2687.62i 0.823635i
\(221\) 3046.49i 0.927282i
\(222\) 578.342 + 68.3455i 0.174846 + 0.0206624i
\(223\) −858.894 + 495.883i −0.257918 + 0.148909i −0.623385 0.781915i \(-0.714243\pi\)
0.365466 + 0.930825i \(0.380910\pi\)
\(224\) 1881.00 + 1515.62i 0.561071 + 0.452084i
\(225\) −378.296 1275.42i −0.112088 0.377902i
\(226\) 580.862 1006.08i 0.170966 0.296122i
\(227\) 301.732 522.616i 0.0882233 0.152807i −0.818537 0.574454i \(-0.805214\pi\)
0.906760 + 0.421647i \(0.138548\pi\)
\(228\) −2190.71 258.887i −0.636329 0.0751982i
\(229\) −1121.72 + 647.623i −0.323690 + 0.186883i −0.653036 0.757327i \(-0.726505\pi\)
0.329346 + 0.944209i \(0.393172\pi\)
\(230\) −575.969 + 997.608i −0.165123 + 0.286002i
\(231\) 2853.88 2794.73i 0.812863 0.796017i
\(232\) 400.948 + 694.462i 0.113463 + 0.196524i
\(233\) 3699.70 + 2136.02i 1.04024 + 0.600581i 0.919900 0.392152i \(-0.128269\pi\)
0.120336 + 0.992733i \(0.461603\pi\)
\(234\) −218.817 737.736i −0.0611303 0.206100i
\(235\) 1283.82 + 2223.64i 0.356371 + 0.617253i
\(236\) 5362.51 1.47911
\(237\) −5510.16 + 2368.53i −1.51022 + 0.649166i
\(238\) 170.521 1093.89i 0.0464423 0.297927i
\(239\) 2074.66 + 1197.80i 0.561500 + 0.324182i 0.753747 0.657164i \(-0.228244\pi\)
−0.192247 + 0.981346i \(0.561578\pi\)
\(240\) 1844.09 + 1376.53i 0.495982 + 0.370228i
\(241\) 708.518 + 409.063i 0.189376 + 0.109336i 0.591690 0.806165i \(-0.298461\pi\)
−0.402314 + 0.915502i \(0.631794\pi\)
\(242\) 253.762 146.510i 0.0674068 0.0389174i
\(243\) −1678.45 3395.84i −0.443097 0.896474i
\(244\) 4824.28i 1.26575i
\(245\) 2208.41 2008.05i 0.575877 0.523632i
\(246\) −422.258 49.9004i −0.109440 0.0129331i
\(247\) −1087.22 1883.12i −0.280074 0.485103i
\(248\) 3011.48 0.771085
\(249\) 2376.86 + 1774.22i 0.604928 + 0.451552i
\(250\) 1134.10i 0.286906i
\(251\) 7516.24 1.89012 0.945062 0.326891i \(-0.106001\pi\)
0.945062 + 0.326891i \(0.106001\pi\)
\(252\) 495.981 + 3687.53i 0.123984 + 0.921796i
\(253\) 7347.31 1.82578
\(254\) 1813.50i 0.447988i
\(255\) 424.202 3589.61i 0.104175 0.881529i
\(256\) 1523.29 0.371896
\(257\) 2774.31 + 4805.24i 0.673372 + 1.16631i 0.976942 + 0.213505i \(0.0684879\pi\)
−0.303570 + 0.952809i \(0.598179\pi\)
\(258\) 577.343 773.446i 0.139317 0.186638i
\(259\) −1001.03 2588.87i −0.240158 0.621099i
\(260\) 2467.74i 0.588626i
\(261\) −437.070 + 1823.42i −0.103655 + 0.432441i
\(262\) −31.6267 + 18.2597i −0.00745764 + 0.00430567i
\(263\) −5519.74 3186.82i −1.29415 0.747179i −0.314764 0.949170i \(-0.601925\pi\)
−0.979387 + 0.201991i \(0.935259\pi\)
\(264\) −292.268 + 2473.18i −0.0681357 + 0.576566i
\(265\) −2294.01 1324.45i −0.531773 0.307019i
\(266\) −284.981 737.022i −0.0656891 0.169886i
\(267\) −109.170 + 923.802i −0.0250229 + 0.211745i
\(268\) −1449.85 −0.330462
\(269\) −2137.07 3701.52i −0.484385 0.838979i 0.515454 0.856917i \(-0.327623\pi\)
−0.999839 + 0.0179379i \(0.994290\pi\)
\(270\) −155.102 899.724i −0.0349600 0.202798i
\(271\) −1818.38 1049.84i −0.407597 0.235326i 0.282160 0.959367i \(-0.408949\pi\)
−0.689757 + 0.724041i \(0.742283\pi\)
\(272\) −2034.05 3523.07i −0.453427 0.785359i
\(273\) −2620.39 + 2566.09i −0.580928 + 0.568889i
\(274\) 572.946 992.371i 0.126325 0.218800i
\(275\) −1771.13 + 1022.56i −0.388375 + 0.224229i
\(276\) −4093.91 + 5484.48i −0.892843 + 1.19611i
\(277\) −2205.33 + 3819.74i −0.478359 + 0.828542i −0.999692 0.0248113i \(-0.992102\pi\)
0.521333 + 0.853353i \(0.325435\pi\)
\(278\) −275.748 + 477.610i −0.0594902 + 0.103040i
\(279\) 5109.65 + 4845.38i 1.09644 + 1.03973i
\(280\) −286.635 + 1838.76i −0.0611775 + 0.392454i
\(281\) −4392.19 + 2535.83i −0.932443 + 0.538346i −0.887583 0.460647i \(-0.847617\pi\)
−0.0448593 + 0.998993i \(0.514284\pi\)
\(282\) −452.771 1053.33i −0.0956104 0.222429i
\(283\) 552.595i 0.116072i −0.998314 0.0580360i \(-0.981516\pi\)
0.998314 0.0580360i \(-0.0184838\pi\)
\(284\) 734.664i 0.153501i
\(285\) −1018.84 2370.23i −0.211756 0.492632i
\(286\) −1024.47 + 591.478i −0.211812 + 0.122290i
\(287\) 730.870 + 1890.19i 0.150320 + 0.388760i
\(288\) −2555.40 2423.23i −0.522841 0.495800i
\(289\) −738.458 + 1279.05i −0.150307 + 0.260339i
\(290\) −225.968 + 391.389i −0.0457563 + 0.0792522i
\(291\) 3433.20 4599.34i 0.691608 0.926524i
\(292\) 1683.76 972.120i 0.337448 0.194825i
\(293\) −496.106 + 859.280i −0.0989174 + 0.171330i −0.911237 0.411883i \(-0.864871\pi\)
0.812319 + 0.583213i \(0.198205\pi\)
\(294\) −1084.53 + 774.725i −0.215139 + 0.153683i
\(295\) 3135.80 + 5431.37i 0.618894 + 1.07196i
\(296\) 1498.70 + 865.273i 0.294291 + 0.169909i
\(297\) −4475.16 + 3726.05i −0.874328 + 0.727971i
\(298\) −551.796 955.739i −0.107264 0.185787i
\(299\) −6746.20 −1.30483
\(300\) 223.569 1891.85i 0.0430259 0.364087i
\(301\) −4545.26 708.538i −0.870381 0.135679i
\(302\) −825.644 476.686i −0.157319 0.0908284i
\(303\) −0.457843 + 3.87428i −8.68067e−5 + 0.000734560i
\(304\) −2514.60 1451.81i −0.474416 0.273904i
\(305\) 4886.23 2821.07i 0.917327 0.529619i
\(306\) −376.217 + 1569.55i −0.0702839 + 0.293219i
\(307\) 256.830i 0.0477462i −0.999715 0.0238731i \(-0.992400\pi\)
0.999715 0.0238731i \(-0.00759977\pi\)
\(308\) 5334.95 2062.84i 0.986971 0.381628i
\(309\) 2340.59 3135.60i 0.430910 0.577276i
\(310\) 848.612 + 1469.84i 0.155477 + 0.269295i
\(311\) −723.484 −0.131913 −0.0659566 0.997822i \(-0.521010\pi\)
−0.0659566 + 0.997822i \(0.521010\pi\)
\(312\) 268.356 2270.84i 0.0486945 0.412054i
\(313\) 6884.30i 1.24321i −0.783332 0.621604i \(-0.786481\pi\)
0.783332 0.621604i \(-0.213519\pi\)
\(314\) 1483.66 0.266649
\(315\) −3444.85 + 2658.69i −0.616176 + 0.475555i
\(316\) −8588.50 −1.52893
\(317\) 367.366i 0.0650893i 0.999470 + 0.0325447i \(0.0103611\pi\)
−0.999470 + 0.0325447i \(0.989639\pi\)
\(318\) 947.852 + 707.528i 0.167147 + 0.124768i
\(319\) 2882.55 0.505930
\(320\) 1347.06 + 2333.18i 0.235322 + 0.407590i
\(321\) −6492.05 767.198i −1.12882 0.133398i
\(322\) −2422.33 377.605i −0.419228 0.0653513i
\(323\) 4560.82i 0.785669i
\(324\) −287.794 5416.68i −0.0493473 0.928787i
\(325\) 1626.23 938.904i 0.277560 0.160249i
\(326\) 2378.85 + 1373.43i 0.404148 + 0.233335i
\(327\) −922.841 688.859i −0.156065 0.116495i
\(328\) −1094.23 631.753i −0.184203 0.106350i
\(329\) −3428.57 + 4255.11i −0.574538 + 0.713045i
\(330\) −1289.47 + 554.273i −0.215099 + 0.0924599i
\(331\) 3825.76 0.635295 0.317647 0.948209i \(-0.397107\pi\)
0.317647 + 0.948209i \(0.397107\pi\)
\(332\) 2123.64 + 3678.25i 0.351054 + 0.608043i
\(333\) 1150.68 + 3879.49i 0.189360 + 0.638422i
\(334\) 2600.28 + 1501.27i 0.425991 + 0.245946i
\(335\) −847.823 1468.47i −0.138273 0.239496i
\(336\) −1317.02 + 4717.07i −0.213837 + 0.765884i
\(337\) −477.374 + 826.836i −0.0771639 + 0.133652i −0.902025 0.431683i \(-0.857920\pi\)
0.824861 + 0.565335i \(0.191253\pi\)
\(338\) −482.181 + 278.388i −0.0775953 + 0.0447997i
\(339\) 8016.40 + 947.338i 1.28434 + 0.151777i
\(340\) 2588.00 4482.55i 0.412806 0.715001i
\(341\) 5412.63 9374.95i 0.859561 1.48880i
\(342\) 327.585 + 1104.44i 0.0517946 + 0.174624i
\(343\) 5681.03 + 2842.45i 0.894305 + 0.447458i
\(344\) 2483.82 1434.03i 0.389298 0.224761i
\(345\) −7948.88 939.358i −1.24044 0.146589i
\(346\) 1565.56i 0.243251i
\(347\) 5672.80i 0.877614i −0.898581 0.438807i \(-0.855401\pi\)
0.898581 0.438807i \(-0.144599\pi\)
\(348\) −1606.15 + 2151.71i −0.247410 + 0.331447i
\(349\) 163.883 94.6178i 0.0251360 0.0145123i −0.487379 0.873190i \(-0.662047\pi\)
0.512515 + 0.858678i \(0.328714\pi\)
\(350\) 636.478 246.104i 0.0972033 0.0375852i
\(351\) 4109.04 3421.21i 0.624855 0.520258i
\(352\) −2706.92 + 4688.53i −0.409885 + 0.709941i
\(353\) −5220.33 + 9041.87i −0.787110 + 1.36331i 0.140620 + 0.990064i \(0.455090\pi\)
−0.927730 + 0.373251i \(0.878243\pi\)
\(354\) −1105.92 2572.82i −0.166042 0.386282i
\(355\) −744.098 + 429.605i −0.111247 + 0.0642284i
\(356\) −666.035 + 1153.61i −0.0991566 + 0.171744i
\(357\) 7450.98 1913.10i 1.10461 0.283619i
\(358\) 1379.01 + 2388.52i 0.203584 + 0.352618i
\(359\) −9191.43 5306.67i −1.35127 0.780155i −0.362840 0.931851i \(-0.618193\pi\)
−0.988427 + 0.151697i \(0.951526\pi\)
\(360\) 632.395 2638.30i 0.0925837 0.386252i
\(361\) −1801.85 3120.89i −0.262698 0.455007i
\(362\) −1232.81 −0.178992
\(363\) 1631.60 + 1217.91i 0.235914 + 0.176099i
\(364\) −4898.48 + 1894.07i −0.705358 + 0.272737i
\(365\) 1969.21 + 1136.92i 0.282392 + 0.163039i
\(366\) −2314.59 + 994.919i −0.330561 + 0.142091i
\(367\) 764.470 + 441.367i 0.108733 + 0.0627770i 0.553380 0.832929i \(-0.313338\pi\)
−0.444647 + 0.895706i \(0.646671\pi\)
\(368\) −7801.55 + 4504.22i −1.10512 + 0.638041i
\(369\) −840.133 2832.49i −0.118525 0.399603i
\(370\) 975.311i 0.137038i
\(371\) 868.306 5570.18i 0.121510 0.779486i
\(372\) 3982.12 + 9264.02i 0.555009 + 1.29118i
\(373\) −1308.08 2265.66i −0.181581 0.314507i 0.760838 0.648942i \(-0.224788\pi\)
−0.942419 + 0.334434i \(0.891455\pi\)
\(374\) 2481.21 0.343049
\(375\) 7239.71 3111.97i 0.996952 0.428537i
\(376\) 3406.97i 0.467290i
\(377\) −2646.72 −0.361573
\(378\) 1666.91 998.447i 0.226817 0.135859i
\(379\) 636.672 0.0862892 0.0431446 0.999069i \(-0.486262\pi\)
0.0431446 + 0.999069i \(0.486262\pi\)
\(380\) 3694.39i 0.498732i
\(381\) 11576.8 4976.25i 1.55668 0.669136i
\(382\) −2742.38 −0.367310
\(383\) −3784.88 6555.61i −0.504957 0.874611i −0.999984 0.00573317i \(-0.998175\pi\)
0.495027 0.868878i \(-0.335158\pi\)
\(384\) −2616.26 6086.48i −0.347683 0.808852i
\(385\) 5209.02 + 4197.18i 0.689549 + 0.555606i
\(386\) 255.846i 0.0337364i
\(387\) 6521.67 + 1563.23i 0.856628 + 0.205331i
\(388\) 7117.61 4109.35i 0.931294 0.537683i
\(389\) 9643.62 + 5567.75i 1.25694 + 0.725697i 0.972479 0.232990i \(-0.0748509\pi\)
0.284464 + 0.958687i \(0.408184\pi\)
\(390\) 1183.97 508.926i 0.153725 0.0660782i
\(391\) 12254.2 + 7074.96i 1.58496 + 0.915080i
\(392\) −3869.95 + 842.339i −0.498628 + 0.108532i
\(393\) −203.348 151.790i −0.0261006 0.0194829i
\(394\) 350.231 0.0447827
\(395\) −5022.24 8698.78i −0.639738 1.10806i
\(396\) −7994.55 + 2371.23i −1.01450 + 0.300906i
\(397\) −777.013 448.609i −0.0982297 0.0567129i 0.450080 0.892988i \(-0.351395\pi\)
−0.548310 + 0.836275i \(0.684729\pi\)
\(398\) 586.797 + 1016.36i 0.0739032 + 0.128004i
\(399\) 3922.92 3841.62i 0.492210 0.482009i
\(400\) 1253.75 2171.56i 0.156719 0.271445i
\(401\) −3487.06 + 2013.25i −0.434253 + 0.250716i −0.701157 0.713007i \(-0.747333\pi\)
0.266904 + 0.963723i \(0.413999\pi\)
\(402\) 299.006 + 695.609i 0.0370972 + 0.0863031i
\(403\) −4969.80 + 8607.95i −0.614302 + 1.06400i
\(404\) −2.79325 + 4.83804i −0.000343983 + 0.000595796i
\(405\) 5317.95 3458.97i 0.652472 0.424389i
\(406\) −950.347 148.145i −0.116170 0.0181091i
\(407\) 5387.32 3110.37i 0.656116 0.378809i
\(408\) −2868.96 + 3843.45i −0.348124 + 0.466370i
\(409\) 10933.5i 1.32182i 0.750463 + 0.660912i \(0.229830\pi\)
−0.750463 + 0.660912i \(0.770170\pi\)
\(410\) 712.093i 0.0857751i
\(411\) 7907.15 + 934.427i 0.948980 + 0.112146i
\(412\) 4852.43 2801.55i 0.580248 0.335006i
\(413\) −8374.47 + 10393.4i −0.997774 + 1.23831i
\(414\) 3475.63 + 833.099i 0.412604 + 0.0989000i
\(415\) −2483.66 + 4301.82i −0.293778 + 0.508838i
\(416\) 2485.46 4304.94i 0.292932 0.507373i
\(417\) −3805.56 449.722i −0.446905 0.0528129i
\(418\) 1533.71 885.486i 0.179464 0.103614i
\(419\) 2433.63 4215.18i 0.283749 0.491467i −0.688556 0.725183i \(-0.741755\pi\)
0.972305 + 0.233716i \(0.0750885\pi\)
\(420\) −6035.49 + 1549.66i −0.701195 + 0.180037i
\(421\) −5868.66 10164.8i −0.679385 1.17673i −0.975166 0.221474i \(-0.928913\pi\)
0.295781 0.955256i \(-0.404420\pi\)
\(422\) −1612.17 930.789i −0.185970 0.107370i
\(423\) 5481.71 5780.69i 0.630094 0.664461i
\(424\) 1757.39 + 3043.89i 0.201289 + 0.348643i
\(425\) −3938.64 −0.449534
\(426\) 352.476 151.511i 0.0400881 0.0172318i
\(427\) 9350.18 + 7533.93i 1.05969 + 0.853847i
\(428\) −8107.00 4680.58i −0.915576 0.528608i
\(429\) −6586.96 4916.87i −0.741308 0.553353i
\(430\) 1399.84 + 808.200i 0.156992 + 0.0906392i
\(431\) −8093.99 + 4673.07i −0.904580 + 0.522260i −0.878683 0.477405i \(-0.841577\pi\)
−0.0258967 + 0.999665i \(0.508244\pi\)
\(432\) 2467.60 6699.88i 0.274821 0.746176i
\(433\) 582.680i 0.0646693i −0.999477 0.0323346i \(-0.989706\pi\)
0.999477 0.0323346i \(-0.0102942\pi\)
\(434\) −2266.30 + 2812.65i −0.250659 + 0.311087i
\(435\) −3118.56 368.536i −0.343732 0.0406205i
\(436\) −824.526 1428.12i −0.0905680 0.156868i
\(437\) 10099.6 1.10555
\(438\) −813.648 607.351i −0.0887616 0.0662565i
\(439\) 6440.25i 0.700174i 0.936717 + 0.350087i \(0.113848\pi\)
−0.936717 + 0.350087i \(0.886152\pi\)
\(440\) −4170.75 −0.451892
\(441\) −7921.55 4797.42i −0.855366 0.518024i
\(442\) −2278.21 −0.245166
\(443\) 11722.1i 1.25719i 0.777734 + 0.628593i \(0.216369\pi\)
−0.777734 + 0.628593i \(0.783631\pi\)
\(444\) −680.039 + 5754.51i −0.0726875 + 0.615083i
\(445\) −1557.89 −0.165958
\(446\) 370.828 + 642.293i 0.0393705 + 0.0681917i
\(447\) 4587.00 6145.04i 0.485364 0.650225i
\(448\) −3597.46 + 4464.72i −0.379384 + 0.470844i
\(449\) 10126.0i 1.06431i −0.846648 0.532153i \(-0.821383\pi\)
0.846648 0.532153i \(-0.178617\pi\)
\(450\) −953.777 + 282.896i −0.0999144 + 0.0296352i
\(451\) −3933.38 + 2270.94i −0.410678 + 0.237105i
\(452\) 10010.5 + 5779.59i 1.04172 + 0.601436i
\(453\) 777.435 6578.67i 0.0806337 0.682325i
\(454\) −390.820 225.640i −0.0404011 0.0233256i
\(455\) −4782.85 3853.80i −0.492799 0.397074i
\(456\) −401.749 + 3399.61i −0.0412579 + 0.349126i
\(457\) −7054.77 −0.722119 −0.361059 0.932543i \(-0.617585\pi\)
−0.361059 + 0.932543i \(0.617585\pi\)
\(458\) 484.302 + 838.835i 0.0494104 + 0.0855812i
\(459\) −11051.8 + 1905.21i −1.12387 + 0.193742i
\(460\) −9926.22 5730.91i −1.00611 0.580880i
\(461\) −1300.85 2253.14i −0.131425 0.227634i 0.792801 0.609480i \(-0.208622\pi\)
−0.924226 + 0.381846i \(0.875288\pi\)
\(462\) −2089.94 2134.17i −0.210461 0.214915i
\(463\) −4858.94 + 8415.93i −0.487719 + 0.844755i −0.999900 0.0141228i \(-0.995504\pi\)
0.512181 + 0.858878i \(0.328838\pi\)
\(464\) −3060.76 + 1767.13i −0.306233 + 0.176804i
\(465\) −7054.39 + 9450.52i −0.703525 + 0.942489i
\(466\) 1597.35 2766.69i 0.158789 0.275031i
\(467\) 4239.34 7342.76i 0.420072 0.727585i −0.575874 0.817538i \(-0.695338\pi\)
0.995946 + 0.0899527i \(0.0286716\pi\)
\(468\) 7340.49 2177.23i 0.725031 0.215048i
\(469\) 2264.19 2810.03i 0.222923 0.276664i
\(470\) 1662.87 960.059i 0.163197 0.0942218i
\(471\) 4071.18 + 9471.23i 0.398281 + 0.926563i
\(472\) 8321.72i 0.811522i
\(473\) 10309.7i 1.00220i
\(474\) 1771.22 + 4120.58i 0.171635 + 0.399292i
\(475\) −2434.58 + 1405.61i −0.235171 + 0.135776i
\(476\) 10884.3 + 1696.69i 1.04807 + 0.163378i
\(477\) −1915.72 + 7992.24i −0.183888 + 0.767169i
\(478\) 895.736 1551.46i 0.0857113 0.148456i
\(479\) −9850.70 + 17061.9i −0.939645 + 1.62751i −0.173512 + 0.984832i \(0.555512\pi\)
−0.766133 + 0.642682i \(0.777822\pi\)
\(480\) 3527.99 4726.32i 0.335479 0.449429i
\(481\) −4946.56 + 2855.90i −0.468906 + 0.270723i
\(482\) 305.903 529.840i 0.0289077 0.0500696i
\(483\) −4236.40 16499.6i −0.399095 1.55436i
\(484\) 1457.77 + 2524.94i 0.136906 + 0.237128i
\(485\) 8324.25 + 4806.01i 0.779350 + 0.449958i
\(486\) −2539.46 + 1255.17i −0.237021 + 0.117152i
\(487\) −7141.08 12368.7i −0.664463 1.15088i −0.979431 0.201781i \(-0.935327\pi\)
0.314968 0.949102i \(-0.398006\pi\)
\(488\) −7486.48 −0.694461
\(489\) −2239.95 + 18954.5i −0.207145 + 1.75287i
\(490\) −1501.65 1651.48i −0.138444 0.152258i
\(491\) 9090.51 + 5248.41i 0.835537 + 0.482398i 0.855745 0.517398i \(-0.173099\pi\)
−0.0202074 + 0.999796i \(0.506433\pi\)
\(492\) 496.510 4201.48i 0.0454967 0.384995i
\(493\) 4807.65 + 2775.70i 0.439200 + 0.253572i
\(494\) −1408.23 + 813.041i −0.128257 + 0.0740495i
\(495\) −7076.61 6710.60i −0.642565 0.609332i
\(496\) 13272.7i 1.20154i
\(497\) −1423.89 1147.30i −0.128511 0.103548i
\(498\) 1326.78 1777.45i 0.119387 0.159938i
\(499\) −8414.18 14573.8i −0.754850 1.30744i −0.945449 0.325771i \(-0.894376\pi\)
0.190598 0.981668i \(-0.438957\pi\)
\(500\) 11284.3 1.00930
\(501\) −2448.45 + 20718.9i −0.218341 + 1.84761i
\(502\) 5620.76i 0.499735i
\(503\) −12335.3 −1.09344 −0.546722 0.837314i \(-0.684125\pi\)
−0.546722 + 0.837314i \(0.684125\pi\)
\(504\) 5722.43 769.679i 0.505749 0.0680243i
\(505\) −6.53356 −0.000575722
\(506\) 5494.43i 0.482721i
\(507\) −3100.25 2314.19i −0.271572 0.202716i
\(508\) 18044.3 1.57596
\(509\) 7226.55 + 12516.8i 0.629295 + 1.08997i 0.987693 + 0.156402i \(0.0499897\pi\)
−0.358398 + 0.933569i \(0.616677\pi\)
\(510\) −2684.36 317.224i −0.233070 0.0275430i
\(511\) −745.365 + 4781.51i −0.0645264 + 0.413937i
\(512\) 11338.9i 0.978739i
\(513\) −6151.53 + 5121.80i −0.529428 + 0.440805i
\(514\) 3593.43 2074.67i 0.308365 0.178034i
\(515\) 5675.06 + 3276.50i 0.485578 + 0.280349i
\(516\) 7695.81 + 5744.57i 0.656568 + 0.490098i
\(517\) −10606.1 6123.46i −0.902239 0.520908i
\(518\) −1936.00 + 748.584i −0.164214 + 0.0634959i
\(519\) −9994.01 + 4295.90i −0.845257 + 0.363332i
\(520\) 3829.52 0.322953
\(521\) −3797.90 6578.16i −0.319365 0.553156i 0.660991 0.750394i \(-0.270136\pi\)
−0.980356 + 0.197238i \(0.936803\pi\)
\(522\) 1363.58 + 326.847i 0.114334 + 0.0274056i
\(523\) 15947.4 + 9207.24i 1.33333 + 0.769799i 0.985809 0.167873i \(-0.0536900\pi\)
0.347522 + 0.937672i \(0.387023\pi\)
\(524\) −181.684 314.686i −0.0151468 0.0262350i
\(525\) 3317.55 + 3387.76i 0.275790 + 0.281626i
\(526\) −2383.15 + 4127.74i −0.197548 + 0.342164i
\(527\) 18054.9 10424.0i 1.49238 0.861625i
\(528\) −10900.2 1288.13i −0.898431 0.106172i
\(529\) 9583.40 16598.9i 0.787655 1.36426i
\(530\) −990.441 + 1715.49i −0.0811736 + 0.140597i
\(531\) 13389.4 14119.7i 1.09426 1.15394i
\(532\) 7333.38 2835.57i 0.597636 0.231085i
\(533\) 3611.58 2085.15i 0.293499 0.169452i
\(534\) 690.833 + 81.6392i 0.0559837 + 0.00661587i
\(535\) 10948.1i 0.884728i
\(536\) 2249.93i 0.181310i
\(537\) −11463.5 + 15357.3i −0.921206 + 1.23411i
\(538\) −2768.05 + 1598.13i −0.221820 + 0.128068i
\(539\) −4333.34 + 13561.4i −0.346289 + 1.08373i
\(540\) 8952.28 1543.27i 0.713416 0.122985i
\(541\) 10525.6 18230.9i 0.836474 1.44882i −0.0563503 0.998411i \(-0.517946\pi\)
0.892825 0.450405i \(-0.148720\pi\)
\(542\) −785.088 + 1359.81i −0.0622185 + 0.107766i
\(543\) −3382.85 7869.88i −0.267352 0.621969i
\(544\) −9029.47 + 5213.17i −0.711646 + 0.410869i
\(545\) 964.307 1670.23i 0.0757915 0.131275i
\(546\) 1918.96 + 1959.57i 0.150410 + 0.153593i
\(547\) −8242.69 14276.8i −0.644300 1.11596i −0.984463 0.175594i \(-0.943815\pi\)
0.340163 0.940367i \(-0.389518\pi\)
\(548\) 9874.11 + 5700.82i 0.769710 + 0.444392i
\(549\) −12702.5 12045.5i −0.987485 0.936412i
\(550\) 764.688 + 1324.48i 0.0592844 + 0.102684i
\(551\) 3962.33 0.306354
\(552\) 8510.99 + 6353.07i 0.656253 + 0.489863i
\(553\) 13412.4 16645.8i 1.03138 1.28002i
\(554\) 2856.46 + 1649.18i 0.219060 + 0.126474i
\(555\) −6226.07 + 2676.26i −0.476184 + 0.204686i
\(556\) −4752.23 2743.70i −0.362481 0.209278i
\(557\) 5731.63 3309.16i 0.436009 0.251730i −0.265894 0.964002i \(-0.585667\pi\)
0.701903 + 0.712272i \(0.252334\pi\)
\(558\) 3623.44 3821.07i 0.274897 0.289890i
\(559\) 9466.26i 0.716243i
\(560\) −8104.12 1263.31i −0.611538 0.0953295i
\(561\) 6808.46 + 15839.2i 0.512395 + 1.19204i
\(562\) 1896.33 + 3284.55i 0.142335 + 0.246531i
\(563\) 17006.6 1.27308 0.636540 0.771244i \(-0.280365\pi\)
0.636540 + 0.771244i \(0.280365\pi\)
\(564\) 10480.7 4505.08i 0.782474 0.336344i
\(565\) 13518.8i 1.00662i
\(566\) −413.239 −0.0306885
\(567\) 10947.8 + 7901.28i 0.810871 + 0.585225i
\(568\) 1140.08 0.0842192
\(569\) 11281.2i 0.831164i 0.909556 + 0.415582i \(0.136422\pi\)
−0.909556 + 0.415582i \(0.863578\pi\)
\(570\) −1772.49 + 761.900i −0.130248 + 0.0559868i
\(571\) −24466.3 −1.79314 −0.896571 0.442900i \(-0.853950\pi\)
−0.896571 + 0.442900i \(0.853950\pi\)
\(572\) −5885.22 10193.5i −0.430198 0.745125i
\(573\) −7525.13 17506.5i −0.548633 1.27634i
\(574\) 1413.51 546.555i 0.102785 0.0397435i
\(575\) 8721.78i 0.632562i
\(576\) 5751.75 6065.45i 0.416070 0.438763i
\(577\) −14445.8 + 8340.28i −1.04226 + 0.601751i −0.920474 0.390805i \(-0.872197\pi\)
−0.121790 + 0.992556i \(0.538863\pi\)
\(578\) 956.490 + 552.230i 0.0688317 + 0.0397400i
\(579\) −1633.24 + 702.045i −0.117228 + 0.0503903i
\(580\) −3894.33 2248.39i −0.278798 0.160964i
\(581\) −10445.4 1628.28i −0.745868 0.116269i
\(582\) −3439.46 2567.40i −0.244966 0.182856i
\(583\) 12634.5 0.897542
\(584\) −1508.57 2612.92i −0.106892 0.185143i
\(585\) 6497.65 + 6161.58i 0.459222 + 0.435470i
\(586\) 642.582 + 370.995i 0.0452984 + 0.0261530i
\(587\) −7866.86 13625.8i −0.553152 0.958087i −0.998045 0.0625029i \(-0.980092\pi\)
0.444893 0.895584i \(-0.353242\pi\)
\(588\) −7708.53 10791.1i −0.540637 0.756830i
\(589\) 7440.16 12886.7i 0.520486 0.901509i
\(590\) 4061.66 2345.00i 0.283417 0.163631i
\(591\) 961.036 + 2235.76i 0.0668896 + 0.155612i
\(592\) −3813.59 + 6605.33i −0.264759 + 0.458576i
\(593\) −2335.26 + 4044.79i −0.161716 + 0.280101i −0.935484 0.353368i \(-0.885036\pi\)
0.773768 + 0.633469i \(0.218370\pi\)
\(594\) 2786.40 + 3346.59i 0.192470 + 0.231166i
\(595\) 4646.25 + 12016.2i 0.320131 + 0.827926i
\(596\) 9509.62 5490.38i 0.653573 0.377340i
\(597\) −4877.95 + 6534.83i −0.334408 + 0.447995i
\(598\) 5044.91i 0.344986i
\(599\) 12756.3i 0.870131i −0.900399 0.435066i \(-0.856725\pi\)
0.900399 0.435066i \(-0.143275\pi\)
\(600\) −2935.84 346.942i −0.199758 0.0236064i
\(601\) −17937.2 + 10356.0i −1.21743 + 0.702882i −0.964367 0.264569i \(-0.914770\pi\)
−0.253060 + 0.967451i \(0.581437\pi\)
\(602\) −529.855 + 3399.02i −0.0358725 + 0.230122i
\(603\) −3620.07 + 3817.51i −0.244479 + 0.257813i
\(604\) 4743.03 8215.17i 0.319522 0.553428i
\(605\) −1704.91 + 2952.99i −0.114569 + 0.198440i
\(606\) 2.89725 + 0.342382i 0.000194212 + 2.29510e-5i
\(607\) 21204.6 12242.5i 1.41790 0.818628i 0.421790 0.906694i \(-0.361402\pi\)
0.996115 + 0.0880658i \(0.0280686\pi\)
\(608\) −3720.91 + 6444.81i −0.248196 + 0.429888i
\(609\) −1662.05 6473.22i −0.110591 0.430719i
\(610\) −2109.63 3653.99i −0.140027 0.242534i
\(611\) 9738.42 + 5622.48i 0.644803 + 0.372277i
\(612\) −15617.0 3743.36i −1.03151 0.247249i
\(613\) −2415.65 4184.03i −0.159164 0.275679i 0.775404 0.631466i \(-0.217546\pi\)
−0.934567 + 0.355786i \(0.884213\pi\)
\(614\) −192.062 −0.0126237
\(615\) 4545.77 1953.99i 0.298054 0.128118i
\(616\) −3201.19 8278.95i −0.209382 0.541507i
\(617\) −5042.06 2911.04i −0.328988 0.189942i 0.326404 0.945231i \(-0.394163\pi\)
−0.655392 + 0.755289i \(0.727497\pi\)
\(618\) −2344.85 1750.32i −0.152627 0.113929i
\(619\) 1254.22 + 724.124i 0.0814400 + 0.0470194i 0.540167 0.841558i \(-0.318361\pi\)
−0.458727 + 0.888577i \(0.651694\pi\)
\(620\) −14624.9 + 8443.71i −0.947341 + 0.546948i
\(621\) 4218.92 + 24473.3i 0.272624 + 1.58145i
\(622\) 541.032i 0.0348769i
\(623\) −1195.73 3092.43i −0.0768958 0.198869i
\(624\) 10008.4 + 1182.75i 0.642081 + 0.0758779i
\(625\) 3519.16 + 6095.36i 0.225226 + 0.390103i
\(626\) −5148.18 −0.328695
\(627\) 9861.16 + 7360.91i 0.628097 + 0.468846i
\(628\) 14762.5i 0.938037i
\(629\) 11980.3 0.759437
\(630\) 1988.20 + 2576.11i 0.125733 + 0.162912i
\(631\) −22632.9 −1.42790 −0.713948 0.700199i \(-0.753095\pi\)
−0.713948 + 0.700199i \(0.753095\pi\)
\(632\) 13327.9i 0.838854i
\(633\) 1518.04 12845.7i 0.0953186 0.806588i
\(634\) 274.721 0.0172091
\(635\) 10551.7 + 18276.0i 0.659418 + 1.14215i
\(636\) −7039.92 + 9431.14i −0.438917 + 0.588002i
\(637\) 3978.81 12451.9i 0.247482 0.774509i
\(638\) 2155.61i 0.133764i
\(639\) 1934.39 + 1834.35i 0.119755 + 0.113561i
\(640\) 9608.61 5547.53i 0.593459 0.342633i
\(641\) 13191.2 + 7615.95i 0.812826 + 0.469286i 0.847936 0.530098i \(-0.177845\pi\)
−0.0351100 + 0.999383i \(0.511178\pi\)
\(642\) −573.722 + 4854.85i −0.0352695 + 0.298451i
\(643\) 12428.6 + 7175.65i 0.762264 + 0.440093i 0.830108 0.557603i \(-0.188279\pi\)
−0.0678441 + 0.997696i \(0.521612\pi\)
\(644\) 3757.18 24102.3i 0.229897 1.47479i
\(645\) −1318.11 + 11153.9i −0.0804657 + 0.680903i
\(646\) 3410.65 0.207725
\(647\) −14009.3 24264.9i −0.851258 1.47442i −0.880073 0.474838i \(-0.842507\pi\)
0.0288151 0.999585i \(-0.490827\pi\)
\(648\) −8405.79 + 446.608i −0.509584 + 0.0270747i
\(649\) −25906.1 14956.9i −1.56688 0.904638i
\(650\) −702.126 1216.12i −0.0423687 0.0733847i
\(651\) −24173.8 6749.41i −1.45537 0.406344i
\(652\) −13665.6 + 23669.6i −0.820840 + 1.42174i
\(653\) −10579.8 + 6108.27i −0.634029 + 0.366057i −0.782311 0.622888i \(-0.785959\pi\)
0.148282 + 0.988945i \(0.452626\pi\)
\(654\) −515.139 + 690.114i −0.0308005 + 0.0412624i
\(655\) 212.485 368.034i 0.0126755 0.0219546i
\(656\) 2784.37 4822.67i 0.165719 0.287033i
\(657\) 1644.48 6860.64i 0.0976517 0.407396i
\(658\) 3182.03 + 2563.93i 0.188524 + 0.151903i
\(659\) 5703.43 3292.88i 0.337138 0.194647i −0.321868 0.946785i \(-0.604311\pi\)
0.659006 + 0.752138i \(0.270977\pi\)
\(660\) −5515.03 12830.2i −0.325261 0.756690i
\(661\) 7317.01i 0.430558i 0.976553 + 0.215279i \(0.0690661\pi\)
−0.976553 + 0.215279i \(0.930934\pi\)
\(662\) 2860.96i 0.167967i
\(663\) −6251.44 14543.4i −0.366193 0.851913i
\(664\) 5708.03 3295.53i 0.333606 0.192608i
\(665\) 7160.28 + 5769.42i 0.417539 + 0.336434i
\(666\) 2901.14 860.494i 0.168794 0.0500653i
\(667\) 6146.55 10646.1i 0.356815 0.618021i
\(668\) −14937.7 + 25872.8i −0.865205 + 1.49858i
\(669\) −3082.64 + 4129.71i −0.178149 + 0.238660i
\(670\) −1098.14 + 634.014i −0.0633210 + 0.0365584i
\(671\) −13455.7 + 23305.9i −0.774145 + 1.34086i
\(672\) 12089.6 + 3375.46i 0.693999 + 0.193767i
\(673\) 1486.23 + 2574.23i 0.0851263 + 0.147443i 0.905445 0.424464i \(-0.139537\pi\)
−0.820319 + 0.571907i \(0.806204\pi\)
\(674\) 618.320 + 356.987i 0.0353365 + 0.0204015i
\(675\) −4423.09 5312.34i −0.252214 0.302921i
\(676\) −2769.96 4797.71i −0.157599 0.272970i
\(677\) 17108.8 0.971261 0.485630 0.874164i \(-0.338590\pi\)
0.485630 + 0.874164i \(0.338590\pi\)
\(678\) 708.433 5994.78i 0.0401286 0.339570i
\(679\) −3150.81 + 20212.5i −0.178081 + 1.14239i
\(680\) −6956.17 4016.15i −0.392290 0.226488i
\(681\) 368.000 3114.03i 0.0207075 0.175227i
\(682\) −7010.73 4047.64i −0.393628 0.227261i
\(683\) −4555.42 + 2630.07i −0.255210 + 0.147346i −0.622147 0.782900i \(-0.713740\pi\)
0.366938 + 0.930246i \(0.380406\pi\)
\(684\) −10989.3 + 3259.47i −0.614305 + 0.182206i
\(685\) 13334.5i 0.743776i
\(686\) 2125.63 4248.36i 0.118304 0.236448i
\(687\) −4025.93 + 5393.40i −0.223579 + 0.299521i
\(688\) 6320.32 + 10947.1i 0.350233 + 0.606621i
\(689\) −11600.8 −0.641445
\(690\) −702.466 + 5944.29i −0.0387571 + 0.327964i
\(691\) 19364.5i 1.06608i −0.846090 0.533040i \(-0.821050\pi\)
0.846090 0.533040i \(-0.178950\pi\)
\(692\) −15577.3 −0.855724
\(693\) 7889.05 19197.7i 0.432439 1.05232i
\(694\) −4242.21 −0.232034
\(695\) 6417.67i 0.350268i
\(696\) 3339.09 + 2492.48i 0.181850 + 0.135743i
\(697\) −8747.05 −0.475349
\(698\) −70.7566 122.554i −0.00383693 0.00664576i
\(699\) 22044.8 + 2605.14i 1.19286 + 0.140966i
\(700\) 2448.74 + 6332.96i 0.132219 + 0.341948i
\(701\) 23797.7i 1.28221i −0.767455 0.641103i \(-0.778477\pi\)
0.767455 0.641103i \(-0.221523\pi\)
\(702\) −2558.43 3072.80i −0.137552 0.165207i
\(703\) 7405.36 4275.49i 0.397295 0.229379i
\(704\) −11128.6 6425.11i −0.595775 0.343971i
\(705\) 10691.6 + 7980.83i 0.571164 + 0.426348i
\(706\) 6761.64 + 3903.84i 0.360450 + 0.208106i
\(707\) −5.01473 12.9692i −0.000266758 0.000689894i
\(708\) 25599.6 11003.9i 1.35889 0.584114i
\(709\) 14427.0 0.764201 0.382100 0.924121i \(-0.375201\pi\)
0.382100 + 0.924121i \(0.375201\pi\)
\(710\) 321.265 + 556.447i 0.0169815 + 0.0294128i
\(711\) −21444.2 + 22613.8i −1.13111 + 1.19280i
\(712\) 1790.20 + 1033.57i 0.0942285 + 0.0544029i
\(713\) −23083.0 39981.0i −1.21244 2.10000i
\(714\) −1430.64 5571.95i −0.0749867 0.292052i
\(715\) 6882.93 11921.6i 0.360010 0.623555i
\(716\) −23765.8 + 13721.2i −1.24046 + 0.716181i
\(717\) 12361.9 + 1460.87i 0.643884 + 0.0760909i
\(718\) −3968.41 + 6873.49i −0.206267 + 0.357265i
\(719\) −2139.85 + 3706.33i −0.110992 + 0.192243i −0.916170 0.400789i \(-0.868736\pi\)
0.805179 + 0.593032i \(0.202069\pi\)
\(720\) 11628.0 + 2787.20i 0.601875 + 0.144268i
\(721\) −2148.07 + 13779.8i −0.110955 + 0.711773i
\(722\) −2333.85 + 1347.45i −0.120300 + 0.0694555i
\(723\) 4221.73 + 498.903i 0.217162 + 0.0256631i
\(724\) 12266.5i 0.629671i
\(725\) 3421.79i 0.175286i
\(726\) 910.773 1220.13i 0.0465592 0.0623738i
\(727\) −8438.47 + 4871.95i −0.430489 + 0.248543i −0.699555 0.714579i \(-0.746618\pi\)
0.269066 + 0.963122i \(0.413285\pi\)
\(728\) 2939.29 + 7601.62i 0.149639 + 0.386999i
\(729\) −14980.9 12766.9i −0.761108 0.648625i
\(730\) 850.207 1472.60i 0.0431063 0.0746623i
\(731\) 9927.58 17195.1i 0.502305 0.870017i
\(732\) −9899.47 23030.2i −0.499856 1.16287i
\(733\) −3927.82 + 2267.73i −0.197923 + 0.114271i −0.595686 0.803217i \(-0.703120\pi\)
0.397764 + 0.917488i \(0.369786\pi\)
\(734\) 330.061 571.682i 0.0165978 0.0287482i
\(735\) 6421.97 14117.7i 0.322283 0.708491i
\(736\) 11544.1 + 19995.0i 0.578154 + 1.00139i
\(737\) 7004.20 + 4043.88i 0.350072 + 0.202114i
\(738\) −2118.18 + 628.264i −0.105652 + 0.0313370i
\(739\) 15942.1 + 27612.6i 0.793561 + 1.37449i 0.923749 + 0.382998i \(0.125108\pi\)
−0.130189 + 0.991489i \(0.541558\pi\)
\(740\) −9704.36 −0.482080
\(741\) −9054.38 6758.69i −0.448881 0.335070i
\(742\) −4165.46 649.332i −0.206090 0.0321263i
\(743\) −10135.3 5851.64i −0.500444 0.288931i 0.228453 0.973555i \(-0.426633\pi\)
−0.728897 + 0.684624i \(0.759967\pi\)
\(744\) 14376.2 6179.58i 0.708411 0.304509i
\(745\) 11121.8 + 6421.16i 0.546940 + 0.315776i
\(746\) −1694.29 + 978.200i −0.0831534 + 0.0480086i
\(747\) 14987.4 + 3592.43i 0.734082 + 0.175958i
\(748\) 24688.1i 1.20680i
\(749\) 21732.1 8403.06i 1.06018 0.409935i
\(750\) −2327.18 5413.96i −0.113302 0.263586i
\(751\) 8290.26 + 14359.1i 0.402817 + 0.697700i 0.994065 0.108790i \(-0.0346977\pi\)
−0.591247 + 0.806490i \(0.701364\pi\)
\(752\) 15015.8 0.728152
\(753\) 35881.1 15423.4i 1.73649 0.746428i
\(754\) 1979.25i 0.0955970i
\(755\) 11094.2 0.534782
\(756\) 9934.57 + 16585.8i 0.477932 + 0.797910i
\(757\) −16410.7 −0.787923 −0.393962 0.919127i \(-0.628896\pi\)
−0.393962 + 0.919127i \(0.628896\pi\)
\(758\) 476.112i 0.0228142i
\(759\) 35074.7 15076.8i 1.67738 0.721016i
\(760\) −5733.07 −0.273632
\(761\) 10595.5 + 18351.9i 0.504713 + 0.874188i 0.999985 + 0.00545022i \(0.00173487\pi\)
−0.495273 + 0.868738i \(0.664932\pi\)
\(762\) −3721.31 8657.29i −0.176915 0.411575i
\(763\) 4055.55 + 632.199i 0.192426 + 0.0299962i
\(764\) 27286.8i 1.29215i
\(765\) −5340.85 18006.6i −0.252417 0.851018i
\(766\) −4902.38 + 2830.39i −0.231241 + 0.133507i
\(767\) 23786.7 + 13733.2i 1.11980 + 0.646517i
\(768\) 7271.88 3125.80i 0.341669 0.146865i
\(769\) 4457.86 + 2573.75i 0.209044 + 0.120691i 0.600867 0.799349i \(-0.294822\pi\)
−0.391823 + 0.920041i \(0.628156\pi\)
\(770\) 3138.72 3895.38i 0.146898 0.182311i
\(771\) 23104.4 + 17246.4i 1.07923 + 0.805595i
\(772\)