Properties

Label 63.4.o.a.20.9
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.o (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 20.9
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.10556 - 0.638294i) q^{2} +(-0.213646 + 5.19176i) q^{3} +(-3.18516 - 5.51686i) q^{4} +(1.59510 + 2.76280i) q^{5} +(3.55007 - 5.60342i) q^{6} +(-13.1775 + 13.0136i) q^{7} +18.3450i q^{8} +(-26.9087 - 2.21839i) q^{9} +O(q^{10})\) \(q+(-1.10556 - 0.638294i) q^{2} +(-0.213646 + 5.19176i) q^{3} +(-3.18516 - 5.51686i) q^{4} +(1.59510 + 2.76280i) q^{5} +(3.55007 - 5.60342i) q^{6} +(-13.1775 + 13.0136i) q^{7} +18.3450i q^{8} +(-26.9087 - 2.21839i) q^{9} -4.07258i q^{10} +(-38.0908 - 21.9917i) q^{11} +(29.3227 - 15.3579i) q^{12} +(-65.6143 + 37.8824i) q^{13} +(22.8750 - 5.97614i) q^{14} +(-14.6846 + 7.69113i) q^{15} +(-13.7718 + 23.8534i) q^{16} +104.977 q^{17} +(28.3332 + 19.6282i) q^{18} +74.7068i q^{19} +(10.1613 - 17.5999i) q^{20} +(-64.7481 - 71.1947i) q^{21} +(28.0744 + 48.6262i) q^{22} +(46.6533 - 26.9353i) q^{23} +(-95.2428 - 3.91933i) q^{24} +(57.4113 - 99.4393i) q^{25} +96.7206 q^{26} +(17.2663 - 139.230i) q^{27} +(113.767 + 31.2481i) q^{28} +(-26.3321 - 15.2028i) q^{29} +(21.1439 + 0.870089i) q^{30} +(-111.231 + 64.2193i) q^{31} +(157.549 - 90.9609i) q^{32} +(122.314 - 193.060i) q^{33} +(-116.058 - 67.0062i) q^{34} +(-56.9734 - 15.6488i) q^{35} +(73.4700 + 155.518i) q^{36} +46.1138 q^{37} +(47.6849 - 82.5928i) q^{38} +(-182.658 - 348.747i) q^{39} +(-50.6835 + 29.2621i) q^{40} +(213.104 + 369.107i) q^{41} +(26.1396 + 120.038i) q^{42} +(-166.003 + 287.526i) q^{43} +280.188i q^{44} +(-36.7932 - 77.8819i) q^{45} -68.7706 q^{46} +(-170.147 + 294.704i) q^{47} +(-120.899 - 76.5959i) q^{48} +(4.29341 - 342.973i) q^{49} +(-126.943 + 73.2906i) q^{50} +(-22.4279 + 545.015i) q^{51} +(417.984 + 241.323i) q^{52} -235.233i q^{53} +(-107.958 + 142.905i) q^{54} -140.316i q^{55} +(-238.734 - 241.741i) q^{56} +(-387.860 - 15.9608i) q^{57} +(19.4078 + 33.6152i) q^{58} +(-272.093 - 471.279i) q^{59} +(89.2036 + 56.5152i) q^{60} +(-321.478 - 185.606i) q^{61} +163.963 q^{62} +(383.459 - 320.946i) q^{63} -11.8909 q^{64} +(-209.323 - 120.853i) q^{65} +(-258.454 + 135.367i) q^{66} +(-53.3481 - 92.4017i) q^{67} +(-334.368 - 579.143i) q^{68} +(129.874 + 247.967i) q^{69} +(52.9988 + 53.6665i) q^{70} +974.682i q^{71} +(40.6964 - 493.640i) q^{72} +576.299i q^{73} +(-50.9815 - 29.4342i) q^{74} +(503.999 + 319.310i) q^{75} +(412.147 - 237.953i) q^{76} +(788.132 - 205.901i) q^{77} +(-20.6639 + 502.150i) q^{78} +(-10.6691 + 18.4794i) q^{79} -87.8696 q^{80} +(719.157 + 119.388i) q^{81} -544.093i q^{82} +(-168.669 + 292.143i) q^{83} +(-186.538 + 583.973i) q^{84} +(167.449 + 290.030i) q^{85} +(367.053 - 211.918i) q^{86} +(84.5552 - 133.462i) q^{87} +(403.438 - 698.775i) q^{88} -1024.06 q^{89} +(-9.03458 + 109.588i) q^{90} +(371.647 - 1353.07i) q^{91} +(-297.197 - 171.586i) q^{92} +(-309.647 - 591.205i) q^{93} +(376.216 - 217.208i) q^{94} +(-206.400 + 119.165i) q^{95} +(438.587 + 837.389i) q^{96} +(63.5527 + 36.6922i) q^{97} +(-223.664 + 376.436i) q^{98} +(976.187 + 676.269i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.10556 0.638294i −0.390874 0.225671i 0.291665 0.956521i \(-0.405791\pi\)
−0.682539 + 0.730849i \(0.739124\pi\)
\(3\) −0.213646 + 5.19176i −0.0411161 + 0.999154i
\(4\) −3.18516 5.51686i −0.398145 0.689607i
\(5\) 1.59510 + 2.76280i 0.142670 + 0.247112i 0.928501 0.371329i \(-0.121098\pi\)
−0.785831 + 0.618441i \(0.787764\pi\)
\(6\) 3.55007 5.60342i 0.241552 0.381265i
\(7\) −13.1775 + 13.0136i −0.711519 + 0.702667i
\(8\) 18.3450i 0.810742i
\(9\) −26.9087 2.21839i −0.996619 0.0821627i
\(10\) 4.07258i 0.128786i
\(11\) −38.0908 21.9917i −1.04407 0.602795i −0.123088 0.992396i \(-0.539280\pi\)
−0.920984 + 0.389600i \(0.872613\pi\)
\(12\) 29.3227 15.3579i 0.705394 0.369454i
\(13\) −65.6143 + 37.8824i −1.39986 + 0.808208i −0.994377 0.105896i \(-0.966229\pi\)
−0.405480 + 0.914104i \(0.632895\pi\)
\(14\) 22.8750 5.97614i 0.436686 0.114085i
\(15\) −14.6846 + 7.69113i −0.252769 + 0.132389i
\(16\) −13.7718 + 23.8534i −0.215184 + 0.372710i
\(17\) 104.977 1.49769 0.748843 0.662748i \(-0.230610\pi\)
0.748843 + 0.662748i \(0.230610\pi\)
\(18\) 28.3332 + 19.6282i 0.371011 + 0.257023i
\(19\) 74.7068i 0.902048i 0.892512 + 0.451024i \(0.148941\pi\)
−0.892512 + 0.451024i \(0.851059\pi\)
\(20\) 10.1613 17.5999i 0.113607 0.196773i
\(21\) −64.7481 71.1947i −0.672818 0.739808i
\(22\) 28.0744 + 48.6262i 0.272067 + 0.471234i
\(23\) 46.6533 26.9353i 0.422952 0.244191i −0.273388 0.961904i \(-0.588144\pi\)
0.696339 + 0.717713i \(0.254811\pi\)
\(24\) −95.2428 3.91933i −0.810056 0.0333346i
\(25\) 57.4113 99.4393i 0.459290 0.795514i
\(26\) 96.7206 0.729557
\(27\) 17.2663 139.230i 0.123070 0.992398i
\(28\) 113.767 + 31.2481i 0.767852 + 0.210905i
\(29\) −26.3321 15.2028i −0.168612 0.0973481i 0.413319 0.910586i \(-0.364369\pi\)
−0.581931 + 0.813238i \(0.697703\pi\)
\(30\) 21.1439 + 0.870089i 0.128677 + 0.00529519i
\(31\) −111.231 + 64.2193i −0.644441 + 0.372068i −0.786323 0.617815i \(-0.788018\pi\)
0.141882 + 0.989884i \(0.454685\pi\)
\(32\) 157.549 90.9609i 0.870343 0.502493i
\(33\) 122.314 193.060i 0.645214 1.01840i
\(34\) −116.058 67.0062i −0.585406 0.337984i
\(35\) −56.9734 15.6488i −0.275150 0.0755751i
\(36\) 73.4700 + 155.518i 0.340139 + 0.719989i
\(37\) 46.1138 0.204894 0.102447 0.994738i \(-0.467333\pi\)
0.102447 + 0.994738i \(0.467333\pi\)
\(38\) 47.6849 82.5928i 0.203566 0.352587i
\(39\) −182.658 348.747i −0.749968 1.43190i
\(40\) −50.6835 + 29.2621i −0.200344 + 0.115669i
\(41\) 213.104 + 369.107i 0.811738 + 1.40597i 0.911647 + 0.410975i \(0.134812\pi\)
−0.0999082 + 0.994997i \(0.531855\pi\)
\(42\) 26.1396 + 120.038i 0.0960338 + 0.441007i
\(43\) −166.003 + 287.526i −0.588728 + 1.01971i 0.405672 + 0.914019i \(0.367038\pi\)
−0.994399 + 0.105687i \(0.966296\pi\)
\(44\) 280.188i 0.960000i
\(45\) −36.7932 77.8819i −0.121884 0.257999i
\(46\) −68.7706 −0.220428
\(47\) −170.147 + 294.704i −0.528054 + 0.914616i 0.471411 + 0.881913i \(0.343745\pi\)
−0.999465 + 0.0327026i \(0.989589\pi\)
\(48\) −120.899 76.5959i −0.363547 0.230326i
\(49\) 4.29341 342.973i 0.0125172 0.999922i
\(50\) −126.943 + 73.2906i −0.359049 + 0.207297i
\(51\) −22.4279 + 545.015i −0.0615790 + 1.49642i
\(52\) 417.984 + 241.323i 1.11469 + 0.643568i
\(53\) 235.233i 0.609654i −0.952408 0.304827i \(-0.901401\pi\)
0.952408 0.304827i \(-0.0985987\pi\)
\(54\) −107.958 + 142.905i −0.272061 + 0.360129i
\(55\) 140.316i 0.344004i
\(56\) −238.734 241.741i −0.569682 0.576858i
\(57\) −387.860 15.9608i −0.901286 0.0370887i
\(58\) 19.4078 + 33.6152i 0.0439373 + 0.0761017i
\(59\) −272.093 471.279i −0.600398 1.03992i −0.992761 0.120109i \(-0.961676\pi\)
0.392363 0.919811i \(-0.371658\pi\)
\(60\) 89.2036 + 56.5152i 0.191936 + 0.121601i
\(61\) −321.478 185.606i −0.674772 0.389580i 0.123110 0.992393i \(-0.460713\pi\)
−0.797882 + 0.602813i \(0.794046\pi\)
\(62\) 163.963 0.335861
\(63\) 383.459 320.946i 0.766846 0.641831i
\(64\) −11.8909 −0.0232244
\(65\) −209.323 120.853i −0.399436 0.230614i
\(66\) −258.454 + 135.367i −0.482022 + 0.252462i
\(67\) −53.3481 92.4017i −0.0972763 0.168487i 0.813280 0.581872i \(-0.197680\pi\)
−0.910556 + 0.413385i \(0.864346\pi\)
\(68\) −334.368 579.143i −0.596296 1.03282i
\(69\) 129.874 + 247.967i 0.226595 + 0.432634i
\(70\) 52.9988 + 53.6665i 0.0904939 + 0.0916338i
\(71\) 974.682i 1.62920i 0.580020 + 0.814602i \(0.303045\pi\)
−0.580020 + 0.814602i \(0.696955\pi\)
\(72\) 40.6964 493.640i 0.0666128 0.808001i
\(73\) 576.299i 0.923982i 0.886885 + 0.461991i \(0.152865\pi\)
−0.886885 + 0.461991i \(0.847135\pi\)
\(74\) −50.9815 29.4342i −0.0800876 0.0462386i
\(75\) 503.999 + 319.310i 0.775957 + 0.491610i
\(76\) 412.147 237.953i 0.622059 0.359146i
\(77\) 788.132 205.901i 1.16644 0.304735i
\(78\) −20.6639 + 502.150i −0.0299965 + 0.728940i
\(79\) −10.6691 + 18.4794i −0.0151945 + 0.0263176i −0.873523 0.486783i \(-0.838170\pi\)
0.858328 + 0.513101i \(0.171503\pi\)
\(80\) −87.8696 −0.122801
\(81\) 719.157 + 119.388i 0.986499 + 0.163770i
\(82\) 544.093i 0.732744i
\(83\) −168.669 + 292.143i −0.223058 + 0.386348i −0.955735 0.294229i \(-0.904937\pi\)
0.732677 + 0.680576i \(0.238271\pi\)
\(84\) −186.538 + 583.973i −0.242298 + 0.758531i
\(85\) 167.449 + 290.030i 0.213675 + 0.370096i
\(86\) 367.053 211.918i 0.460237 0.265718i
\(87\) 84.5552 133.462i 0.104198 0.164467i
\(88\) 403.438 698.775i 0.488711 0.846473i
\(89\) −1024.06 −1.21967 −0.609834 0.792529i \(-0.708764\pi\)
−0.609834 + 0.792529i \(0.708764\pi\)
\(90\) −9.03458 + 109.588i −0.0105814 + 0.128351i
\(91\) 371.647 1353.07i 0.428123 1.55869i
\(92\) −297.197 171.586i −0.336792 0.194447i
\(93\) −309.647 591.205i −0.345257 0.659195i
\(94\) 376.216 217.208i 0.412805 0.238333i
\(95\) −206.400 + 119.165i −0.222907 + 0.128695i
\(96\) 438.587 + 837.389i 0.466283 + 0.890267i
\(97\) 63.5527 + 36.6922i 0.0665237 + 0.0384075i 0.532893 0.846183i \(-0.321105\pi\)
−0.466369 + 0.884590i \(0.654438\pi\)
\(98\) −223.664 + 376.436i −0.230546 + 0.388019i
\(99\) 976.187 + 676.269i 0.991015 + 0.686541i
\(100\) −731.457 −0.731457
\(101\) 442.380 766.224i 0.435826 0.754873i −0.561537 0.827452i \(-0.689790\pi\)
0.997363 + 0.0725790i \(0.0231229\pi\)
\(102\) 372.675 588.230i 0.361768 0.571015i
\(103\) −38.7086 + 22.3484i −0.0370299 + 0.0213792i −0.518401 0.855138i \(-0.673472\pi\)
0.481371 + 0.876517i \(0.340139\pi\)
\(104\) −694.953 1203.69i −0.655248 1.13492i
\(105\) 93.4169 292.449i 0.0868243 0.271810i
\(106\) −150.148 + 260.063i −0.137581 + 0.238298i
\(107\) 517.187i 0.467274i 0.972324 + 0.233637i \(0.0750628\pi\)
−0.972324 + 0.233637i \(0.924937\pi\)
\(108\) −823.106 + 348.213i −0.733365 + 0.310248i
\(109\) −39.6511 −0.0348430 −0.0174215 0.999848i \(-0.505546\pi\)
−0.0174215 + 0.999848i \(0.505546\pi\)
\(110\) −89.5630 + 155.128i −0.0776318 + 0.134462i
\(111\) −9.85202 + 239.412i −0.00842443 + 0.204720i
\(112\) −128.941 493.549i −0.108783 0.416393i
\(113\) 627.942 362.542i 0.522759 0.301815i −0.215304 0.976547i \(-0.569074\pi\)
0.738063 + 0.674732i \(0.235741\pi\)
\(114\) 418.614 + 265.214i 0.343919 + 0.217891i
\(115\) 148.834 + 85.9291i 0.120685 + 0.0696777i
\(116\) 193.694i 0.155035i
\(117\) 1849.63 873.809i 1.46153 0.690459i
\(118\) 694.701i 0.541970i
\(119\) −1383.33 + 1366.13i −1.06563 + 1.05237i
\(120\) −141.094 269.388i −0.107334 0.204931i
\(121\) 301.771 + 522.682i 0.226725 + 0.392699i
\(122\) 236.942 + 410.396i 0.175834 + 0.304553i
\(123\) −1961.84 + 1027.53i −1.43816 + 0.753244i
\(124\) 708.577 + 409.097i 0.513162 + 0.296274i
\(125\) 765.083 0.547449
\(126\) −628.794 + 110.065i −0.444583 + 0.0778201i
\(127\) −567.501 −0.396516 −0.198258 0.980150i \(-0.563528\pi\)
−0.198258 + 0.980150i \(0.563528\pi\)
\(128\) −1247.24 720.097i −0.861265 0.497251i
\(129\) −1457.30 923.279i −0.994638 0.630156i
\(130\) 154.279 + 267.220i 0.104086 + 0.180282i
\(131\) 603.074 + 1044.55i 0.402220 + 0.696665i 0.993994 0.109439i \(-0.0349055\pi\)
−0.591774 + 0.806104i \(0.701572\pi\)
\(132\) −1454.67 59.8611i −0.959188 0.0394715i
\(133\) −972.203 984.450i −0.633840 0.641824i
\(134\) 136.207i 0.0878098i
\(135\) 412.205 174.382i 0.262792 0.111174i
\(136\) 1925.80i 1.21424i
\(137\) 522.414 + 301.616i 0.325787 + 0.188093i 0.653969 0.756521i \(-0.273103\pi\)
−0.328182 + 0.944615i \(0.606436\pi\)
\(138\) 14.6925 357.040i 0.00906313 0.220241i
\(139\) 298.587 172.389i 0.182200 0.105193i −0.406126 0.913817i \(-0.633121\pi\)
0.588326 + 0.808624i \(0.299787\pi\)
\(140\) 95.1371 + 364.158i 0.0574325 + 0.219835i
\(141\) −1493.68 946.326i −0.892131 0.565213i
\(142\) 622.134 1077.57i 0.367665 0.636814i
\(143\) 3332.40 1.94874
\(144\) 423.497 611.313i 0.245079 0.353769i
\(145\) 97.0003i 0.0555547i
\(146\) 367.848 637.132i 0.208516 0.361160i
\(147\) 1779.72 + 95.5651i 0.998561 + 0.0536195i
\(148\) −146.880 254.403i −0.0815774 0.141296i
\(149\) 197.969 114.298i 0.108847 0.0628431i −0.444588 0.895735i \(-0.646650\pi\)
0.553435 + 0.832892i \(0.313317\pi\)
\(150\) −353.386 674.716i −0.192359 0.367269i
\(151\) −1697.35 + 2939.90i −0.914758 + 1.58441i −0.107502 + 0.994205i \(0.534285\pi\)
−0.807256 + 0.590202i \(0.799048\pi\)
\(152\) −1370.50 −0.731328
\(153\) −2824.79 232.880i −1.49262 0.123054i
\(154\) −1002.75 275.425i −0.524702 0.144119i
\(155\) −354.850 204.873i −0.183885 0.106166i
\(156\) −1342.19 + 2118.52i −0.688855 + 1.08729i
\(157\) −2829.60 + 1633.67i −1.43838 + 0.830452i −0.997738 0.0672287i \(-0.978584\pi\)
−0.440647 + 0.897680i \(0.645251\pi\)
\(158\) 23.5905 13.6200i 0.0118782 0.00685791i
\(159\) 1221.27 + 50.2564i 0.609139 + 0.0250666i
\(160\) 502.613 + 290.184i 0.248344 + 0.143382i
\(161\) −264.250 + 962.067i −0.129353 + 0.470941i
\(162\) −718.866 591.025i −0.348638 0.286638i
\(163\) 689.462 0.331306 0.165653 0.986184i \(-0.447027\pi\)
0.165653 + 0.986184i \(0.447027\pi\)
\(164\) 1357.54 2351.33i 0.646379 1.11956i
\(165\) 728.487 + 29.9779i 0.343713 + 0.0141441i
\(166\) 372.946 215.321i 0.174375 0.100675i
\(167\) 683.829 + 1184.43i 0.316864 + 0.548824i 0.979832 0.199823i \(-0.0640368\pi\)
−0.662968 + 0.748648i \(0.730703\pi\)
\(168\) 1306.07 1187.80i 0.599793 0.545482i
\(169\) 1771.66 3068.60i 0.806399 1.39672i
\(170\) 427.527i 0.192881i
\(171\) 165.729 2010.26i 0.0741147 0.898998i
\(172\) 2114.99 0.937596
\(173\) −613.500 + 1062.61i −0.269616 + 0.466988i −0.968763 0.247990i \(-0.920230\pi\)
0.699147 + 0.714978i \(0.253563\pi\)
\(174\) −178.669 + 93.5787i −0.0778438 + 0.0407712i
\(175\) 537.523 + 2057.49i 0.232188 + 0.888751i
\(176\) 1049.15 605.730i 0.449335 0.259424i
\(177\) 2504.90 1311.95i 1.06373 0.557133i
\(178\) 1132.16 + 653.654i 0.476737 + 0.275244i
\(179\) 1597.37i 0.667002i −0.942750 0.333501i \(-0.891770\pi\)
0.942750 0.333501i \(-0.108230\pi\)
\(180\) −312.471 + 451.049i −0.129390 + 0.186773i
\(181\) 549.998i 0.225862i 0.993603 + 0.112931i \(0.0360239\pi\)
−0.993603 + 0.112931i \(0.963976\pi\)
\(182\) −1274.54 + 1258.68i −0.519093 + 0.512636i
\(183\) 1032.30 1629.38i 0.416994 0.658183i
\(184\) 494.128 + 855.855i 0.197976 + 0.342905i
\(185\) 73.5562 + 127.403i 0.0292322 + 0.0506317i
\(186\) −35.0300 + 851.258i −0.0138093 + 0.335577i
\(187\) −3998.65 2308.62i −1.56369 0.902798i
\(188\) 2167.79 0.840968
\(189\) 1584.35 + 2059.40i 0.609759 + 0.792587i
\(190\) 304.249 0.116171
\(191\) 3253.62 + 1878.48i 1.23258 + 0.711633i 0.967568 0.252611i \(-0.0812891\pi\)
0.265017 + 0.964244i \(0.414622\pi\)
\(192\) 2.54044 61.7346i 0.000954897 0.0232047i
\(193\) −1311.43 2271.46i −0.489111 0.847165i 0.510810 0.859693i \(-0.329345\pi\)
−0.999922 + 0.0125280i \(0.996012\pi\)
\(194\) −46.8408 81.1307i −0.0173349 0.0300250i
\(195\) 672.159 1060.94i 0.246843 0.389616i
\(196\) −1905.81 + 1068.74i −0.694537 + 0.389482i
\(197\) 4603.93i 1.66506i −0.553982 0.832528i \(-0.686893\pi\)
0.553982 0.832528i \(-0.313107\pi\)
\(198\) −647.573 1370.75i −0.232429 0.491995i
\(199\) 3145.00i 1.12032i 0.828385 + 0.560158i \(0.189260\pi\)
−0.828385 + 0.560158i \(0.810740\pi\)
\(200\) 1824.21 + 1053.21i 0.644957 + 0.372366i
\(201\) 491.125 257.229i 0.172345 0.0902665i
\(202\) −978.154 + 564.737i −0.340706 + 0.196707i
\(203\) 544.834 142.339i 0.188374 0.0492131i
\(204\) 3078.21 1612.23i 1.05646 0.553326i
\(205\) −679.846 + 1177.53i −0.231622 + 0.401181i
\(206\) 57.0596 0.0192987
\(207\) −1315.13 + 621.299i −0.441585 + 0.208615i
\(208\) 2086.83i 0.695653i
\(209\) 1642.93 2845.64i 0.543751 0.941804i
\(210\) −289.946 + 263.692i −0.0952771 + 0.0866498i
\(211\) 341.927 + 592.236i 0.111560 + 0.193228i 0.916400 0.400265i \(-0.131082\pi\)
−0.804839 + 0.593493i \(0.797748\pi\)
\(212\) −1297.74 + 749.253i −0.420422 + 0.242731i
\(213\) −5060.32 208.237i −1.62783 0.0669866i
\(214\) 330.118 571.780i 0.105450 0.182645i
\(215\) −1059.17 −0.335976
\(216\) 2554.17 + 316.750i 0.804578 + 0.0997783i
\(217\) 630.025 2293.76i 0.197092 0.717562i
\(218\) 43.8366 + 25.3091i 0.0136192 + 0.00786307i
\(219\) −2992.00 123.124i −0.923200 0.0379906i
\(220\) −774.104 + 446.929i −0.237228 + 0.136963i
\(221\) −6887.99 + 3976.78i −2.09655 + 1.21044i
\(222\) 163.707 258.395i 0.0494924 0.0781187i
\(223\) 2030.24 + 1172.16i 0.609664 + 0.351990i 0.772834 0.634608i \(-0.218839\pi\)
−0.163170 + 0.986598i \(0.552172\pi\)
\(224\) −892.374 + 3248.91i −0.266180 + 0.969094i
\(225\) −1765.46 + 2548.42i −0.523099 + 0.755088i
\(226\) −925.635 −0.272444
\(227\) 1536.15 2660.69i 0.449154 0.777958i −0.549177 0.835706i \(-0.685059\pi\)
0.998331 + 0.0577480i \(0.0183920\pi\)
\(228\) 1147.34 + 2190.61i 0.333266 + 0.636300i
\(229\) 1213.76 700.766i 0.350252 0.202218i −0.314544 0.949243i \(-0.601852\pi\)
0.664796 + 0.747025i \(0.268518\pi\)
\(230\) −109.696 189.999i −0.0314485 0.0544704i
\(231\) 900.609 + 4135.78i 0.256518 + 1.17798i
\(232\) 278.896 483.062i 0.0789242 0.136701i
\(233\) 5201.59i 1.46252i −0.682098 0.731261i \(-0.738932\pi\)
0.682098 0.731261i \(-0.261068\pi\)
\(234\) −2602.63 214.564i −0.727090 0.0599424i
\(235\) −1085.61 −0.301350
\(236\) −1733.32 + 3002.20i −0.478091 + 0.828078i
\(237\) −93.6609 59.3392i −0.0256706 0.0162637i
\(238\) 2401.35 627.358i 0.654018 0.170864i
\(239\) −1811.86 + 1046.08i −0.490373 + 0.283117i −0.724729 0.689034i \(-0.758035\pi\)
0.234356 + 0.972151i \(0.424702\pi\)
\(240\) 18.7730 456.198i 0.00504912 0.122698i
\(241\) 6077.25 + 3508.70i 1.62436 + 0.937823i 0.985735 + 0.168303i \(0.0538287\pi\)
0.638622 + 0.769520i \(0.279505\pi\)
\(242\) 770.474i 0.204661i
\(243\) −773.480 + 3708.19i −0.204192 + 0.978931i
\(244\) 2364.73i 0.620437i
\(245\) 954.414 535.215i 0.248879 0.139566i
\(246\) 2824.80 + 116.243i 0.732124 + 0.0301276i
\(247\) −2830.08 4901.84i −0.729042 1.26274i
\(248\) −1178.10 2040.53i −0.301651 0.522476i
\(249\) −1480.70 938.103i −0.376850 0.238754i
\(250\) −845.844 488.348i −0.213984 0.123543i
\(251\) −7255.60 −1.82458 −0.912290 0.409545i \(-0.865687\pi\)
−0.912290 + 0.409545i \(0.865687\pi\)
\(252\) −2991.99 1093.23i −0.747928 0.273281i
\(253\) −2369.41 −0.588789
\(254\) 627.406 + 362.233i 0.154988 + 0.0894823i
\(255\) −1541.54 + 807.391i −0.378569 + 0.198278i
\(256\) 966.831 + 1674.60i 0.236043 + 0.408838i
\(257\) 505.462 + 875.487i 0.122684 + 0.212496i 0.920825 0.389975i \(-0.127516\pi\)
−0.798141 + 0.602471i \(0.794183\pi\)
\(258\) 1021.81 + 1950.93i 0.246570 + 0.470773i
\(259\) −607.665 + 600.106i −0.145786 + 0.143972i
\(260\) 1539.74i 0.367272i
\(261\) 674.836 + 467.503i 0.160043 + 0.110873i
\(262\) 1539.75i 0.363078i
\(263\) 2754.95 + 1590.57i 0.645921 + 0.372923i 0.786892 0.617091i \(-0.211689\pi\)
−0.140971 + 0.990014i \(0.545022\pi\)
\(264\) 3541.68 + 2243.84i 0.825663 + 0.523102i
\(265\) 649.900 375.220i 0.150653 0.0869795i
\(266\) 446.459 + 1708.92i 0.102910 + 0.393912i
\(267\) 218.787 5316.69i 0.0501480 1.21864i
\(268\) −339.845 + 588.628i −0.0774601 + 0.134165i
\(269\) 1227.12 0.278137 0.139069 0.990283i \(-0.455589\pi\)
0.139069 + 0.990283i \(0.455589\pi\)
\(270\) −567.024 70.3184i −0.127807 0.0158498i
\(271\) 7222.65i 1.61898i −0.587131 0.809492i \(-0.699743\pi\)
0.587131 0.809492i \(-0.300257\pi\)
\(272\) −1445.72 + 2504.06i −0.322278 + 0.558202i
\(273\) 6945.43 + 2218.58i 1.53977 + 0.491848i
\(274\) −385.039 666.908i −0.0848945 0.147042i
\(275\) −4373.68 + 2525.15i −0.959065 + 0.553716i
\(276\) 954.330 1506.31i 0.208130 0.328512i
\(277\) −1132.04 + 1960.75i −0.245551 + 0.425306i −0.962286 0.272039i \(-0.912302\pi\)
0.716736 + 0.697345i \(0.245635\pi\)
\(278\) −440.141 −0.0949564
\(279\) 3135.55 1481.30i 0.672833 0.317861i
\(280\) 287.077 1045.18i 0.0612719 0.223076i
\(281\) 859.806 + 496.409i 0.182533 + 0.105385i 0.588482 0.808510i \(-0.299726\pi\)
−0.405949 + 0.913896i \(0.633059\pi\)
\(282\) 1047.32 + 1999.63i 0.221159 + 0.422255i
\(283\) 4936.03 2849.82i 1.03681 0.598601i 0.117880 0.993028i \(-0.462390\pi\)
0.918927 + 0.394427i \(0.129057\pi\)
\(284\) 5377.19 3104.52i 1.12351 0.648660i
\(285\) −574.580 1097.04i −0.119422 0.228010i
\(286\) −3684.16 2127.05i −0.761710 0.439773i
\(287\) −7611.59 2090.66i −1.56550 0.429993i
\(288\) −4441.22 + 2098.13i −0.908686 + 0.429284i
\(289\) 6107.16 1.24306
\(290\) −61.9147 + 107.239i −0.0125371 + 0.0217149i
\(291\) −204.075 + 322.111i −0.0411102 + 0.0648883i
\(292\) 3179.36 1835.60i 0.637185 0.367879i
\(293\) −1110.55 1923.52i −0.221429 0.383527i 0.733813 0.679352i \(-0.237739\pi\)
−0.955242 + 0.295825i \(0.904406\pi\)
\(294\) −1906.58 1241.64i −0.378211 0.246305i
\(295\) 868.032 1503.48i 0.171318 0.296731i
\(296\) 845.958i 0.166116i
\(297\) −3719.58 + 4923.65i −0.726707 + 0.961949i
\(298\) −291.822 −0.0567275
\(299\) −2040.75 + 3534.68i −0.394714 + 0.683665i
\(300\) 156.273 3797.55i 0.0300747 0.730838i
\(301\) −1554.24 5949.18i −0.297624 1.13922i
\(302\) 3753.04 2166.82i 0.715110 0.412869i
\(303\) 3883.54 + 2460.43i 0.736315 + 0.466495i
\(304\) −1782.01 1028.85i −0.336202 0.194106i
\(305\) 1184.24i 0.222326i
\(306\) 2974.33 + 2060.51i 0.555657 + 0.384940i
\(307\) 3006.91i 0.559002i −0.960145 0.279501i \(-0.909831\pi\)
0.960145 0.279501i \(-0.0901690\pi\)
\(308\) −3646.26 3692.19i −0.674561 0.683058i
\(309\) −107.758 205.741i −0.0198386 0.0378776i
\(310\) 261.538 + 452.997i 0.0479173 + 0.0829952i
\(311\) −1269.29 2198.47i −0.231430 0.400848i 0.726799 0.686850i \(-0.241007\pi\)
−0.958229 + 0.286002i \(0.907674\pi\)
\(312\) 6397.76 3350.86i 1.16090 0.608030i
\(313\) 4916.75 + 2838.69i 0.887895 + 0.512627i 0.873253 0.487266i \(-0.162006\pi\)
0.0146418 + 0.999893i \(0.495339\pi\)
\(314\) 4171.05 0.749636
\(315\) 1498.36 + 547.478i 0.268010 + 0.0979267i
\(316\) 135.931 0.0241984
\(317\) 6662.61 + 3846.66i 1.18047 + 0.681545i 0.956123 0.292964i \(-0.0946416\pi\)
0.224347 + 0.974509i \(0.427975\pi\)
\(318\) −1318.11 835.092i −0.232440 0.147263i
\(319\) 668.672 + 1158.17i 0.117362 + 0.203277i
\(320\) −18.9672 32.8521i −0.00331343 0.00573903i
\(321\) −2685.11 110.495i −0.466879 0.0192125i
\(322\) 906.225 894.952i 0.156838 0.154887i
\(323\) 7842.50i 1.35098i
\(324\) −1631.98 4347.76i −0.279833 0.745501i
\(325\) 8699.52i 1.48481i
\(326\) −762.240 440.080i −0.129499 0.0747661i
\(327\) 8.47129 205.859i 0.00143261 0.0348136i
\(328\) −6771.27 + 3909.39i −1.13988 + 0.658110i
\(329\) −1593.03 6097.69i −0.266951 1.02181i
\(330\) −786.251 498.132i −0.131157 0.0830947i
\(331\) 852.222 1476.09i 0.141518 0.245116i −0.786551 0.617526i \(-0.788135\pi\)
0.928068 + 0.372410i \(0.121468\pi\)
\(332\) 2148.95 0.355238
\(333\) −1240.86 102.299i −0.204201 0.0168346i
\(334\) 1745.94i 0.286028i
\(335\) 170.191 294.780i 0.0277569 0.0480763i
\(336\) 2589.93 563.984i 0.420513 0.0915710i
\(337\) 3770.46 + 6530.62i 0.609466 + 1.05563i 0.991329 + 0.131407i \(0.0419493\pi\)
−0.381863 + 0.924219i \(0.624717\pi\)
\(338\) −3917.35 + 2261.68i −0.630401 + 0.363962i
\(339\) 1748.08 + 3337.58i 0.280066 + 0.534727i
\(340\) 1066.70 1847.59i 0.170147 0.294704i
\(341\) 5649.17 0.897125
\(342\) −1466.36 + 2116.68i −0.231848 + 0.334670i
\(343\) 4406.73 + 4575.40i 0.693706 + 0.720258i
\(344\) −5274.67 3045.33i −0.826718 0.477306i
\(345\) −477.921 + 754.350i −0.0745808 + 0.117718i
\(346\) 1356.52 783.188i 0.210772 0.121689i
\(347\) −1623.73 + 937.459i −0.251199 + 0.145030i −0.620313 0.784354i \(-0.712995\pi\)
0.369114 + 0.929384i \(0.379661\pi\)
\(348\) −1005.61 41.3818i −0.154904 0.00637442i
\(349\) 1501.48 + 866.879i 0.230293 + 0.132960i 0.610707 0.791856i \(-0.290885\pi\)
−0.380414 + 0.924816i \(0.624219\pi\)
\(350\) 719.020 2617.77i 0.109809 0.399788i
\(351\) 4141.44 + 9789.54i 0.629783 + 1.48868i
\(352\) −8001.54 −1.21160
\(353\) 4678.78 8103.88i 0.705457 1.22189i −0.261070 0.965320i \(-0.584075\pi\)
0.966526 0.256567i \(-0.0825914\pi\)
\(354\) −3606.72 148.420i −0.541512 0.0222837i
\(355\) −2692.85 + 1554.72i −0.402596 + 0.232439i
\(356\) 3261.81 + 5649.61i 0.485605 + 0.841092i
\(357\) −6797.05 7473.81i −1.00767 1.10800i
\(358\) −1019.60 + 1765.99i −0.150523 + 0.260714i
\(359\) 11558.3i 1.69923i −0.527401 0.849616i \(-0.676833\pi\)
0.527401 0.849616i \(-0.323167\pi\)
\(360\) 1428.74 674.970i 0.209170 0.0988169i
\(361\) 1277.89 0.186309
\(362\) 351.061 608.055i 0.0509706 0.0882836i
\(363\) −2778.11 + 1455.05i −0.401689 + 0.210387i
\(364\) −8648.47 + 2259.43i −1.24534 + 0.325347i
\(365\) −1592.20 + 919.255i −0.228327 + 0.131825i
\(366\) −2181.30 + 1142.47i −0.311525 + 0.163163i
\(367\) −7156.41 4131.76i −1.01788 0.587673i −0.104390 0.994536i \(-0.533289\pi\)
−0.913489 + 0.406864i \(0.866622\pi\)
\(368\) 1483.79i 0.210184i
\(369\) −4915.53 10404.9i −0.693475 1.46791i
\(370\) 187.802i 0.0263875i
\(371\) 3061.22 + 3099.78i 0.428384 + 0.433780i
\(372\) −2275.32 + 3591.36i −0.317123 + 0.500547i
\(373\) 4591.28 + 7952.33i 0.637339 + 1.10390i 0.986014 + 0.166660i \(0.0532981\pi\)
−0.348676 + 0.937243i \(0.613369\pi\)
\(374\) 2947.16 + 5104.64i 0.407471 + 0.705761i
\(375\) −163.457 + 3972.13i −0.0225090 + 0.546986i
\(376\) −5406.34 3121.35i −0.741517 0.428115i
\(377\) 2303.68 0.314710
\(378\) −437.090 3288.06i −0.0594748 0.447407i
\(379\) −9297.03 −1.26004 −0.630022 0.776577i \(-0.716954\pi\)
−0.630022 + 0.776577i \(0.716954\pi\)
\(380\) 1314.83 + 759.119i 0.177499 + 0.102479i
\(381\) 121.244 2946.33i 0.0163032 0.396181i
\(382\) −2398.05 4153.54i −0.321190 0.556318i
\(383\) 3674.74 + 6364.84i 0.490262 + 0.849159i 0.999937 0.0112079i \(-0.00356767\pi\)
−0.509675 + 0.860367i \(0.670234\pi\)
\(384\) 4005.04 6321.55i 0.532243 0.840091i
\(385\) 1826.02 + 1849.02i 0.241720 + 0.244765i
\(386\) 3348.30i 0.441513i
\(387\) 5104.79 7368.70i 0.670519 0.967887i
\(388\) 467.482i 0.0611670i
\(389\) −4531.66 2616.35i −0.590653 0.341014i 0.174702 0.984621i \(-0.444104\pi\)
−0.765356 + 0.643607i \(0.777437\pi\)
\(390\) −1420.30 + 743.890i −0.184410 + 0.0965855i
\(391\) 4897.52 2827.59i 0.633448 0.365722i
\(392\) 6291.84 + 78.7625i 0.810678 + 0.0101482i
\(393\) −5551.92 + 2907.85i −0.712614 + 0.373235i
\(394\) −2938.66 + 5089.91i −0.375755 + 0.650827i
\(395\) −68.0730 −0.00867120
\(396\) 621.568 7539.51i 0.0788762 0.956754i
\(397\) 10045.1i 1.26990i 0.772554 + 0.634949i \(0.218979\pi\)
−0.772554 + 0.634949i \(0.781021\pi\)
\(398\) 2007.44 3476.98i 0.252823 0.437903i
\(399\) 5318.73 4837.12i 0.667342 0.606915i
\(400\) 1581.31 + 2738.91i 0.197664 + 0.342364i
\(401\) −6480.01 + 3741.24i −0.806974 + 0.465906i −0.845904 0.533335i \(-0.820938\pi\)
0.0389302 + 0.999242i \(0.487605\pi\)
\(402\) −707.155 29.1001i −0.0877356 0.00361040i
\(403\) 4865.57 8427.41i 0.601417 1.04169i
\(404\) −5636.20 −0.694088
\(405\) 817.284 + 2177.32i 0.100275 + 0.267141i
\(406\) −693.201 190.400i −0.0847364 0.0232744i
\(407\) −1756.51 1014.12i −0.213924 0.123509i
\(408\) −9998.30 411.439i −1.21321 0.0499247i
\(409\) −9878.34 + 5703.26i −1.19426 + 0.689506i −0.959270 0.282491i \(-0.908839\pi\)
−0.234990 + 0.971998i \(0.575506\pi\)
\(410\) 1503.22 867.883i 0.181070 0.104541i
\(411\) −1677.53 + 2647.81i −0.201329 + 0.317778i
\(412\) 246.587 + 142.367i 0.0294865 + 0.0170240i
\(413\) 9718.53 + 2669.38i 1.15791 + 0.318042i
\(414\) 1850.53 + 152.560i 0.219682 + 0.0181109i
\(415\) −1076.18 −0.127295
\(416\) −6891.64 + 11936.7i −0.812237 + 1.40684i
\(417\) 831.212 + 1587.02i 0.0976130 + 0.186371i
\(418\) −3632.71 + 2097.35i −0.425076 + 0.245418i
\(419\) −3027.27 5243.38i −0.352964 0.611351i 0.633804 0.773494i \(-0.281493\pi\)
−0.986767 + 0.162143i \(0.948159\pi\)
\(420\) −1910.95 + 416.128i −0.222011 + 0.0483452i
\(421\) −3434.60 + 5948.91i −0.397606 + 0.688674i −0.993430 0.114441i \(-0.963492\pi\)
0.595824 + 0.803115i \(0.296826\pi\)
\(422\) 873.002i 0.100704i
\(423\) 5232.21 7552.64i 0.601416 0.868137i
\(424\) 4315.34 0.494272
\(425\) 6026.86 10438.8i 0.687873 1.19143i
\(426\) 5461.56 + 3460.19i 0.621158 + 0.393537i
\(427\) 6651.68 1737.77i 0.753858 0.196947i
\(428\) 2853.25 1647.32i 0.322236 0.186043i
\(429\) −711.953 + 17301.0i −0.0801245 + 1.94709i
\(430\) 1170.97 + 676.062i 0.131324 + 0.0758200i
\(431\) 7761.64i 0.867436i −0.901049 0.433718i \(-0.857201\pi\)
0.901049 0.433718i \(-0.142799\pi\)
\(432\) 3083.31 + 2329.30i 0.343393 + 0.259418i
\(433\) 7474.70i 0.829586i 0.909916 + 0.414793i \(0.136146\pi\)
−0.909916 + 0.414793i \(0.863854\pi\)
\(434\) −2160.63 + 2133.75i −0.238971 + 0.235998i
\(435\) 503.602 + 20.7237i 0.0555077 + 0.00228420i
\(436\) 126.295 + 218.750i 0.0138726 + 0.0240280i
\(437\) 2012.25 + 3485.32i 0.220272 + 0.381523i
\(438\) 3229.25 + 2045.90i 0.352282 + 0.223189i
\(439\) 804.050 + 464.219i 0.0874151 + 0.0504691i 0.543070 0.839687i \(-0.317262\pi\)
−0.455655 + 0.890156i \(0.650595\pi\)
\(440\) 2574.10 0.278898
\(441\) −876.379 + 9219.44i −0.0946312 + 0.995512i
\(442\) 10153.4 1.09265
\(443\) 4799.04 + 2770.72i 0.514693 + 0.297158i 0.734761 0.678326i \(-0.237294\pi\)
−0.220068 + 0.975485i \(0.570628\pi\)
\(444\) 1352.18 708.213i 0.144531 0.0756988i
\(445\) −1633.49 2829.28i −0.174010 0.301395i
\(446\) −1496.37 2591.78i −0.158868 0.275167i
\(447\) 551.110 + 1052.23i 0.0583146 + 0.111339i
\(448\) 156.692 154.743i 0.0165246 0.0163190i
\(449\) 13088.2i 1.37566i 0.725873 + 0.687829i \(0.241436\pi\)
−0.725873 + 0.687829i \(0.758564\pi\)
\(450\) 3578.46 1690.55i 0.374867 0.177096i
\(451\) 18746.1i 1.95725i
\(452\) −4000.19 2309.51i −0.416268 0.240332i
\(453\) −14900.6 9440.33i −1.54546 0.979129i
\(454\) −3396.61 + 1961.04i −0.351126 + 0.202722i
\(455\) 4331.08 1131.51i 0.446251 0.116584i
\(456\) 292.801 7115.28i 0.0300694 0.730710i
\(457\) 5771.25 9996.10i 0.590739 1.02319i −0.403394 0.915026i \(-0.632170\pi\)
0.994133 0.108164i \(-0.0344971\pi\)
\(458\) −1789.18 −0.182539
\(459\) 1812.56 14615.9i 0.184321 1.48630i
\(460\) 1094.79i 0.110967i
\(461\) −4557.29 + 7893.46i −0.460421 + 0.797473i −0.998982 0.0451139i \(-0.985635\pi\)
0.538561 + 0.842587i \(0.318968\pi\)
\(462\) 1644.17 5147.20i 0.165571 0.518332i
\(463\) −1592.53 2758.34i −0.159851 0.276871i 0.774964 0.632006i \(-0.217768\pi\)
−0.934815 + 0.355135i \(0.884435\pi\)
\(464\) 725.279 418.740i 0.0725651 0.0418955i
\(465\) 1139.46 1798.52i 0.113637 0.179365i
\(466\) −3320.15 + 5750.66i −0.330049 + 0.571662i
\(467\) 995.144 0.0986077 0.0493038 0.998784i \(-0.484300\pi\)
0.0493038 + 0.998784i \(0.484300\pi\)
\(468\) −10712.1 7420.95i −1.05805 0.732978i
\(469\) 1905.47 + 523.373i 0.187605 + 0.0515291i
\(470\) 1200.20 + 692.938i 0.117790 + 0.0680061i
\(471\) −7877.08 15039.6i −0.770609 1.47131i
\(472\) 8645.60 4991.54i 0.843106 0.486768i
\(473\) 12646.4 7301.40i 1.22935 0.709765i
\(474\) 65.6718 + 125.386i 0.00636372 + 0.0121502i
\(475\) 7428.79 + 4289.02i 0.717592 + 0.414302i
\(476\) 11942.9 + 3280.33i 1.15000 + 0.315869i
\(477\) −521.838 + 6329.80i −0.0500908 + 0.607593i
\(478\) 2670.82 0.255565
\(479\) −6951.30 + 12040.0i −0.663075 + 1.14848i 0.316728 + 0.948516i \(0.397416\pi\)
−0.979803 + 0.199964i \(0.935917\pi\)
\(480\) −1613.95 + 2547.45i −0.153471 + 0.242239i
\(481\) −3025.73 + 1746.90i −0.286822 + 0.165597i
\(482\) −4479.17 7758.15i −0.423279 0.733141i
\(483\) −4938.36 1577.46i −0.465224 0.148607i
\(484\) 1922.38 3329.65i 0.180539 0.312702i
\(485\) 234.111i 0.0219184i
\(486\) 3222.04 3605.91i 0.300730 0.336558i
\(487\) −7608.36 −0.707942 −0.353971 0.935256i \(-0.615169\pi\)
−0.353971 + 0.935256i \(0.615169\pi\)
\(488\) 3404.93 5897.52i 0.315849 0.547066i
\(489\) −147.301 + 3579.52i −0.0136220 + 0.331025i
\(490\) −1396.79 17.4852i −0.128776 0.00161205i
\(491\) 14278.7 8243.83i 1.31240 0.757717i 0.329910 0.944012i \(-0.392982\pi\)
0.982494 + 0.186296i \(0.0596482\pi\)
\(492\) 11917.5 + 7550.38i 1.09204 + 0.691865i
\(493\) −2764.26 1595.95i −0.252528 0.145797i
\(494\) 7225.69i 0.658095i
\(495\) −311.276 + 3775.73i −0.0282643 + 0.342841i
\(496\) 3537.65i 0.320253i
\(497\) −12684.1 12843.9i −1.14479 1.15921i
\(498\) 1038.21 + 1982.25i 0.0934207 + 0.178367i
\(499\) 1546.08 + 2677.88i 0.138701 + 0.240237i 0.927005 0.375049i \(-0.122374\pi\)
−0.788304 + 0.615286i \(0.789041\pi\)
\(500\) −2436.91 4220.86i −0.217964 0.377525i
\(501\) −6295.35 + 3297.23i −0.561389 + 0.294030i
\(502\) 8021.49 + 4631.21i 0.713181 + 0.411755i
\(503\) −5624.21 −0.498551 −0.249275 0.968433i \(-0.580192\pi\)
−0.249275 + 0.968433i \(0.580192\pi\)
\(504\) 5887.75 + 7034.55i 0.520359 + 0.621714i
\(505\) 2822.56 0.248718
\(506\) 2619.52 + 1512.38i 0.230142 + 0.132873i
\(507\) 15552.9 + 9853.62i 1.36239 + 0.863145i
\(508\) 1807.58 + 3130.82i 0.157871 + 0.273441i
\(509\) −2174.06 3765.58i −0.189319 0.327910i 0.755704 0.654913i \(-0.227295\pi\)
−0.945023 + 0.327003i \(0.893961\pi\)
\(510\) 2219.62 + 91.3393i 0.192718 + 0.00793053i
\(511\) −7499.71 7594.18i −0.649252 0.657430i
\(512\) 9053.06i 0.781431i
\(513\) 10401.4 + 1289.91i 0.895191 + 0.111015i
\(514\) 1290.54i 0.110745i
\(515\) −123.489 71.2961i −0.0105661 0.00610035i
\(516\) −451.859 + 10980.5i −0.0385503 + 0.936803i
\(517\) 12962.1 7483.66i 1.10265 0.636617i
\(518\) 1054.85 275.583i 0.0894741 0.0233753i
\(519\) −5385.76 3412.17i −0.455508 0.288589i
\(520\) 2217.04 3840.03i 0.186969 0.323839i
\(521\) −16584.8 −1.39461 −0.697305 0.716774i \(-0.745618\pi\)
−0.697305 + 0.716774i \(0.745618\pi\)
\(522\) −447.666 947.597i −0.0375360 0.0794544i
\(523\) 15080.9i 1.26088i 0.776237 + 0.630441i \(0.217126\pi\)
−0.776237 + 0.630441i \(0.782874\pi\)
\(524\) 3841.77 6654.14i 0.320284 0.554747i
\(525\) −10796.8 + 2351.12i −0.897547 + 0.195450i
\(526\) −2030.50 3516.93i −0.168316 0.291532i
\(527\) −11676.7 + 6741.54i −0.965171 + 0.557242i
\(528\) 2920.66 + 5576.37i 0.240730 + 0.459622i
\(529\) −4632.48 + 8023.69i −0.380741 + 0.659463i
\(530\) −958.003 −0.0785151
\(531\) 6276.19 + 13285.1i 0.512925 + 1.08573i
\(532\) −2334.45 + 8499.14i −0.190246 + 0.692640i
\(533\) −27965.4 16145.8i −2.27263 1.31211i
\(534\) −3635.49 + 5738.26i −0.294613 + 0.465016i
\(535\) −1428.88 + 824.966i −0.115469 + 0.0666662i
\(536\) 1695.11 978.671i 0.136600 0.0788660i
\(537\) 8293.18 + 341.272i 0.666438 + 0.0274245i
\(538\) −1356.65 783.264i −0.108717 0.0627675i
\(539\) −7706.10 + 12969.7i −0.615817 + 1.03645i
\(540\) −2274.98 1718.64i −0.181295 0.136960i
\(541\) −17064.6 −1.35613 −0.678064 0.735003i \(-0.737181\pi\)
−0.678064 + 0.735003i \(0.737181\pi\)
\(542\) −4610.18 + 7985.06i −0.365358 + 0.632819i
\(543\) −2855.46 117.505i −0.225671 0.00928658i
\(544\) 16539.0 9548.80i 1.30350 0.752576i
\(545\) −63.2476 109.548i −0.00497106 0.00861013i
\(546\) −6262.47 6886.00i −0.490859 0.539732i
\(547\) 226.704 392.663i 0.0177206 0.0306929i −0.857029 0.515268i \(-0.827692\pi\)
0.874750 + 0.484575i \(0.161026\pi\)
\(548\) 3842.78i 0.299554i
\(549\) 8238.82 + 5707.57i 0.640482 + 0.443704i
\(550\) 6447.15 0.499831
\(551\) 1135.76 1967.19i 0.0878127 0.152096i
\(552\) −4548.96 + 2382.54i −0.350755 + 0.183710i
\(553\) −99.8910 382.355i −0.00768137 0.0294021i
\(554\) 2503.07 1445.15i 0.191959 0.110827i
\(555\) −677.161 + 354.667i −0.0517908 + 0.0271257i
\(556\) −1902.10 1098.18i −0.145084 0.0837644i
\(557\) 19320.2i 1.46970i 0.678229 + 0.734850i \(0.262748\pi\)
−0.678229 + 0.734850i \(0.737252\pi\)
\(558\) −4412.04 363.735i −0.334725 0.0275952i
\(559\) 25154.5i 1.90326i
\(560\) 1157.90 1143.50i 0.0873755 0.0862886i
\(561\) 12840.1 20266.8i 0.966328 1.52525i
\(562\) −633.710 1097.62i −0.0475649 0.0823848i
\(563\) 1038.78 + 1799.22i 0.0777608 + 0.134686i 0.902283 0.431143i \(-0.141890\pi\)
−0.824523 + 0.565829i \(0.808556\pi\)
\(564\) −463.138 + 11254.6i −0.0345774 + 0.840257i
\(565\) 2003.26 + 1156.58i 0.149164 + 0.0861201i
\(566\) −7276.09 −0.540348
\(567\) −11030.4 + 7785.57i −0.816988 + 0.576655i
\(568\) −17880.5 −1.32086
\(569\) 16935.0 + 9777.42i 1.24772 + 0.720370i 0.970654 0.240481i \(-0.0773052\pi\)
0.277064 + 0.960851i \(0.410639\pi\)
\(570\) −65.0016 + 1579.59i −0.00477652 + 0.116073i
\(571\) −3001.96 5199.54i −0.220014 0.381075i 0.734798 0.678286i \(-0.237277\pi\)
−0.954812 + 0.297211i \(0.903944\pi\)
\(572\) −10614.2 18384.4i −0.775879 1.34386i
\(573\) −10447.7 + 16490.7i −0.761711 + 1.20228i
\(574\) 7080.59 + 7169.79i 0.514875 + 0.521361i
\(575\) 6185.56i 0.448619i
\(576\) 319.968 + 26.3787i 0.0231459 + 0.00190818i
\(577\) 18306.7i 1.32083i −0.750901 0.660415i \(-0.770381\pi\)
0.750901 0.660415i \(-0.229619\pi\)
\(578\) −6751.83 3898.17i −0.485881 0.280523i
\(579\) 12073.0 6323.32i 0.866559 0.453865i
\(580\) −535.137 + 308.961i −0.0383109 + 0.0221188i
\(581\) −1579.19 6044.70i −0.112764 0.431629i
\(582\) 431.218 225.853i 0.0307123 0.0160858i
\(583\) −5173.17 + 8960.18i −0.367497 + 0.636523i
\(584\) −10572.2 −0.749111
\(585\) 5364.52 + 3716.35i 0.379137 + 0.262653i
\(586\) 2835.42i 0.199881i
\(587\) −10160.7 + 17598.8i −0.714440 + 1.23745i 0.248735 + 0.968572i \(0.419985\pi\)
−0.963175 + 0.268875i \(0.913348\pi\)
\(588\) −5141.46 10122.8i −0.360596 0.709964i
\(589\) −4797.62 8309.72i −0.335624 0.581317i
\(590\) −1919.32 + 1108.12i −0.133927 + 0.0773230i
\(591\) 23902.5 + 983.609i 1.66365 + 0.0684607i
\(592\) −635.069 + 1099.97i −0.0440898 + 0.0763658i
\(593\) 27525.8 1.90616 0.953078 0.302725i \(-0.0978965\pi\)
0.953078 + 0.302725i \(0.0978965\pi\)
\(594\) 7254.95 3069.19i 0.501135 0.212004i
\(595\) −5980.89 1642.76i −0.412088 0.113188i
\(596\) −1261.13 728.112i −0.0866741 0.0500413i
\(597\) −16328.1 671.915i −1.11937 0.0460631i
\(598\) 4512.34 2605.20i 0.308567 0.178151i
\(599\) −17841.0 + 10300.5i −1.21697 + 0.702616i −0.964268 0.264929i \(-0.914652\pi\)
−0.252699 + 0.967545i \(0.581318\pi\)
\(600\) −5857.75 + 9245.86i −0.398569 + 0.629101i
\(601\) −13383.7 7727.08i −0.908374 0.524450i −0.0284661 0.999595i \(-0.509062\pi\)
−0.879907 + 0.475145i \(0.842396\pi\)
\(602\) −2079.03 + 7569.23i −0.140756 + 0.512456i
\(603\) 1230.55 + 2604.76i 0.0831040 + 0.175910i
\(604\) 21625.3 1.45682
\(605\) −962.710 + 1667.46i −0.0646938 + 0.112053i
\(606\) −2723.00 5198.99i −0.182532 0.348506i
\(607\) −21073.4 + 12166.7i −1.40913 + 0.813562i −0.995305 0.0967932i \(-0.969141\pi\)
−0.413827 + 0.910356i \(0.635808\pi\)
\(608\) 6795.40 + 11770.0i 0.453273 + 0.785091i
\(609\) 622.589 + 2859.06i 0.0414262 + 0.190238i
\(610\) −755.894 + 1309.25i −0.0501725 + 0.0869014i
\(611\) 25782.4i 1.70711i
\(612\) 7712.66 + 16325.8i 0.509421 + 1.07832i
\(613\) 16221.1 1.06879 0.534393 0.845236i \(-0.320540\pi\)
0.534393 + 0.845236i \(0.320540\pi\)
\(614\) −1919.30 + 3324.32i −0.126151 + 0.218499i
\(615\) −5968.19 3781.17i −0.391318 0.247921i
\(616\) 3777.26 + 14458.3i 0.247062 + 0.945683i
\(617\) 17506.0 10107.1i 1.14224 0.659475i 0.195259 0.980752i \(-0.437445\pi\)
0.946986 + 0.321276i \(0.104112\pi\)
\(618\) −12.1905 + 296.239i −0.000793487 + 0.0192824i
\(619\) −14613.8 8437.29i −0.948915 0.547857i −0.0561715 0.998421i \(-0.517889\pi\)
−0.892744 + 0.450565i \(0.851223\pi\)
\(620\) 2610.21i 0.169078i
\(621\) −2944.66 6960.59i −0.190282 0.449789i
\(622\) 3240.71i 0.208908i
\(623\) 13494.6 13326.7i 0.867817 0.857021i
\(624\) 10834.3 + 445.843i 0.695065 + 0.0286026i
\(625\) −5956.03 10316.1i −0.381186 0.660233i
\(626\) −3623.84 6276.67i −0.231370 0.400745i
\(627\) 14422.9 + 9137.66i 0.918650 + 0.582014i
\(628\) 18025.4 + 10407.0i 1.14537 + 0.661280i
\(629\) 4840.89 0.306866
\(630\) −1307.08 1561.67i −0.0826591 0.0987592i
\(631\) 30726.8 1.93853 0.969266 0.246014i \(-0.0791209\pi\)
0.969266 + 0.246014i \(0.0791209\pi\)
\(632\) −339.004 195.724i −0.0213368 0.0123188i
\(633\) −3147.80 + 1648.68i −0.197652 + 0.103521i
\(634\) −4910.60 8505.41i −0.307610 0.532797i
\(635\) −905.222 1567.89i −0.0565711 0.0979840i
\(636\) −3612.68 6897.65i −0.225239 0.430047i
\(637\) 12711.0 + 22666.6i 0.790622 + 1.40986i
\(638\) 1707.24i 0.105941i
\(639\) 2162.23 26227.4i 0.133860 1.62370i
\(640\) 4594.51i 0.283772i
\(641\) 13756.1 + 7942.11i 0.847636 + 0.489383i 0.859852 0.510543i \(-0.170555\pi\)
−0.0122166 + 0.999925i \(0.503889\pi\)
\(642\) 2898.02 + 1836.05i 0.178155 + 0.112871i
\(643\) 1909.66 1102.54i 0.117122 0.0676206i −0.440294 0.897853i \(-0.645126\pi\)
0.557417 + 0.830233i \(0.311793\pi\)
\(644\) 6149.26 1606.51i 0.376265 0.0983002i
\(645\) 226.287 5498.95i 0.0138140 0.335692i
\(646\) 5005.82 8670.34i 0.304878 0.528065i
\(647\) −3584.90 −0.217831 −0.108916 0.994051i \(-0.534738\pi\)
−0.108916 + 0.994051i \(0.534738\pi\)
\(648\) −2190.18 + 13192.9i −0.132775 + 0.799796i
\(649\) 23935.1i 1.44767i
\(650\) 5552.86 9617.83i 0.335078 0.580373i
\(651\) 11774.1 + 3760.99i 0.708851 + 0.226428i
\(652\) −2196.05 3803.66i −0.131908 0.228471i
\(653\) −394.355 + 227.681i −0.0236329 + 0.0136445i −0.511770 0.859123i \(-0.671010\pi\)
0.488137 + 0.872767i \(0.337677\pi\)
\(654\) −140.764 + 222.182i −0.00841639 + 0.0132844i
\(655\) −1923.93 + 3332.34i −0.114770 + 0.198787i
\(656\) −11739.3 −0.698692
\(657\) 1278.46 15507.5i 0.0759169 0.920858i
\(658\) −2130.93 + 7758.17i −0.126250 + 0.459643i
\(659\) 8929.73 + 5155.58i 0.527850 + 0.304754i 0.740140 0.672452i \(-0.234759\pi\)
−0.212291 + 0.977207i \(0.568092\pi\)
\(660\) −2154.96 4114.45i −0.127094 0.242659i
\(661\) 7083.52 4089.67i 0.416818 0.240650i −0.276897 0.960900i \(-0.589306\pi\)
0.693715 + 0.720250i \(0.255973\pi\)
\(662\) −1884.36 + 1087.94i −0.110631 + 0.0638730i
\(663\) −19174.9 36610.4i −1.12322 2.14454i
\(664\) −5359.36 3094.23i −0.313228 0.180842i
\(665\) 1169.07 4256.30i 0.0681724 0.248199i
\(666\) 1306.55 + 905.133i 0.0760177 + 0.0526625i
\(667\) −1637.97 −0.0950862
\(668\) 4356.21 7545.18i 0.252316 0.437023i
\(669\) −6519.33 + 10290.1i −0.376759 + 0.594676i
\(670\) −376.313 + 217.265i −0.0216989 + 0.0125279i
\(671\) 8163.57 + 14139.7i 0.469674 + 0.813499i
\(672\) −16676.9 5327.11i −0.957330 0.305800i
\(673\) 11433.9 19804.0i 0.654893 1.13431i −0.327028 0.945015i \(-0.606047\pi\)
0.981921 0.189293i \(-0.0606195\pi\)
\(674\) 9626.65i 0.550155i
\(675\) −12853.6 9710.30i −0.732942 0.553703i
\(676\) −22572.1 −1.28426
\(677\) 2461.68 4263.75i 0.139749 0.242052i −0.787653 0.616120i \(-0.788704\pi\)
0.927401 + 0.374067i \(0.122037\pi\)
\(678\) 197.758 4805.67i 0.0112018 0.272214i
\(679\) −1314.96 + 343.537i −0.0743205 + 0.0194164i
\(680\) −5320.60 + 3071.85i −0.300053 + 0.173235i
\(681\) 13485.5 + 8543.78i 0.758833 + 0.480761i
\(682\) −6245.48 3605.83i −0.350663 0.202455i
\(683\) 15195.6i 0.851310i −0.904885 0.425655i \(-0.860044\pi\)
0.904885 0.425655i \(-0.139956\pi\)
\(684\) −11618.2 + 5488.71i −0.649464 + 0.306822i
\(685\) 1924.43i 0.107341i
\(686\) −1951.45 7871.17i −0.108610 0.438080i
\(687\) 3378.89 + 6451.28i 0.187646 + 0.358270i
\(688\) −4572.32 7919.50i −0.253370 0.438849i
\(689\) 8911.18 + 15434.6i 0.492727 + 0.853428i
\(690\) 1009.87 528.923i 0.0557173 0.0291823i
\(691\) −4745.60 2739.88i −0.261261 0.150839i 0.363649 0.931536i \(-0.381531\pi\)
−0.624910 + 0.780697i \(0.714864\pi\)
\(692\) 7816.39 0.429385
\(693\) −21664.4 + 3792.15i −1.18754 + 0.207867i
\(694\) 2393.50 0.130916
\(695\) 952.554 + 549.957i 0.0519891 + 0.0300159i
\(696\) 2448.35 + 1551.16i 0.133340 + 0.0844780i
\(697\) 22371.0 + 38747.7i 1.21573 + 2.10570i
\(698\) −1106.65 1916.77i −0.0600104 0.103941i
\(699\) 27005.4 + 1111.30i 1.46128 + 0.0601332i
\(700\) 9638.78 9518.87i 0.520445 0.513971i
\(701\) 5356.09i 0.288583i 0.989535 + 0.144292i \(0.0460903\pi\)
−0.989535 + 0.144292i \(0.953910\pi\)
\(702\) 1670.01 13466.4i 0.0897868 0.724011i
\(703\) 3445.02i 0.184824i
\(704\) 452.933 + 261.501i 0.0242479 + 0.0139996i
\(705\) 231.936 5636.22i 0.0123904 0.301096i
\(706\) −10345.3 + 5972.88i −0.551489 + 0.318402i
\(707\) 4141.86 + 15853.9i 0.220326 + 0.843347i
\(708\) −15216.4 9640.38i −0.807720 0.511734i
\(709\) −6540.71 + 11328.8i −0.346462 + 0.600090i −0.985618 0.168987i \(-0.945950\pi\)
0.639156 + 0.769077i \(0.279284\pi\)
\(710\) 3969.47 0.209819
\(711\) 328.085 473.587i 0.0173054 0.0249802i
\(712\) 18786.4i 0.988836i
\(713\) −3459.53 + 5992.08i −0.181712 + 0.314734i
\(714\) 2744.05 + 12601.3i 0.143828 + 0.660490i
\(715\) 5315.52 + 9206.75i 0.278027 + 0.481556i
\(716\) −8812.49 + 5087.89i −0.459970 + 0.265564i
\(717\) −5043.88 9630.21i −0.262715 0.501599i
\(718\) −7377.61 + 12778.4i −0.383468 + 0.664186i
\(719\) 11546.9 0.598925 0.299463 0.954108i \(-0.403193\pi\)
0.299463 + 0.954108i \(0.403193\pi\)
\(720\) 2364.46 + 194.929i 0.122386 + 0.0100897i
\(721\) 219.250 798.235i 0.0113250 0.0412314i
\(722\) −1412.78 815.671i −0.0728232 0.0420445i
\(723\) −19514.7 + 30802.0i −1.00382 + 1.58442i
\(724\) 3034.26 1751.83i 0.155756 0.0899259i
\(725\) −3023.52 + 1745.63i −0.154884 + 0.0894221i
\(726\) 4000.12 + 164.608i 0.204488 + 0.00841487i
\(727\) −8018.50 4629.49i −0.409064 0.236173i 0.281323 0.959613i \(-0.409227\pi\)
−0.690388 + 0.723440i \(0.742560\pi\)
\(728\) 24822.1 + 6817.86i 1.26369 + 0.347097i
\(729\) −19086.8 4807.96i −0.969707 0.244270i
\(730\) 2347.02 0.118996
\(731\) −17426.5 + 30183.7i −0.881729 + 1.52720i
\(732\) −12277.1 505.215i −0.619912 0.0255100i
\(733\) −30748.8 + 17752.8i −1.54943 + 0.894564i −0.551246 + 0.834343i \(0.685847\pi\)
−0.998185 + 0.0602216i \(0.980819\pi\)
\(734\) 5274.55 + 9135.79i 0.265242 + 0.459412i
\(735\) 2574.80 + 5069.43i 0.129215 + 0.254407i
\(736\) 4900.12 8487.25i 0.245409 0.425060i
\(737\) 4692.87i 0.234551i
\(738\) −1207.01 + 14640.8i −0.0602042 + 0.730266i
\(739\) −17773.8 −0.884734 −0.442367 0.896834i \(-0.645861\pi\)
−0.442367 + 0.896834i \(0.645861\pi\)
\(740\) 468.577 811.599i 0.0232773 0.0403175i
\(741\) 26053.8 13645.8i 1.29165 0.676507i
\(742\) −1405.78 5380.94i −0.0695525 0.266227i
\(743\) 9171.95 5295.43i 0.452875 0.261468i −0.256168 0.966632i \(-0.582460\pi\)
0.709044 + 0.705164i \(0.249127\pi\)
\(744\) 10845.6 5680.47i 0.534437 0.279914i
\(745\) 631.562 + 364.633i 0.0310586 + 0.0179317i
\(746\) 11722.3i 0.575316i
\(747\) 5186.75 7487.02i 0.254047 0.366714i
\(748\) 29413.3i 1.43778i
\(749\) −6730.45 6815.24i −0.328338 0.332474i
\(750\) 2716.10 4287.08i 0.132237 0.208723i
\(751\) −2521.66 4367.64i −0.122525 0.212220i 0.798238 0.602343i \(-0.205766\pi\)
−0.920763 + 0.390123i \(0.872433\pi\)
\(752\) −4686.46 8117.19i −0.227257 0.393621i
\(753\) 1550.13 37669.3i 0.0750197 1.82304i
\(754\) −2546.85 1470.43i −0.123012 0.0710210i
\(755\) −10829.8 −0.522035
\(756\) 6314.99 15300.1i 0.303801 0.736059i
\(757\) −36576.1 −1.75612 −0.878060 0.478551i \(-0.841162\pi\)
−0.878060 + 0.478551i \(0.841162\pi\)
\(758\) 10278.4 + 5934.25i 0.492518 + 0.284356i
\(759\) 506.215 12301.4i 0.0242087 0.588292i
\(760\) −2186.08 3786.40i −0.104339 0.180720i
\(761\) 9686.08 + 16776.8i 0.461393 + 0.799157i 0.999031 0.0440195i \(-0.0140164\pi\)
−0.537637 + 0.843176i \(0.680683\pi\)
\(762\) −2014.67 + 3179.95i −0.0957792 + 0.151178i
\(763\) 522.503 516.003i 0.0247915 0.0244831i
\(764\) 23933.0i 1.13333i
\(765\) −3862.44 8175.81i −0.182545 0.386401i
\(766\) 9382.26i 0.442552i
\(767\) 35706.4 + 20615.1i 1.68094 + 0.970492i
\(768\) −8900.68 + 4661.78i −0.418198 + 0.219033i
\(769\) −983.118 + 567.603i −0.0461016 + 0.0266168i −0.522874 0.852410i \(-0.675140\pi\)
0.476772 + 0.879027i \(0.341807\pi\)
\(770\) −838.549 3209.73i −0.0392457 0.150222i
\(771\) −4653.30 + 2437.19i −0.217360 + 0.113844i
\(772\) −8354.20 + 14469.9i −0.389474 + 0.674589i
\(773\) 4858.97 0.226087 0.113043