Properties

Label 63.4.o.a.20.10
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 20.10
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.10556 - 0.638294i) q^{2} +(0.213646 - 5.19176i) q^{3} +(-3.18516 - 5.51686i) q^{4} +(-1.59510 - 2.76280i) q^{5} +(-3.55007 + 5.60342i) q^{6} +(-4.68134 + 17.9188i) q^{7} +18.3450i q^{8} +(-26.9087 - 2.21839i) q^{9} +O(q^{10})\) \(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} +(-4.68134 + 17.9188i) 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} +(16.6130 - 16.8223i) 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} +(92.0302 + 28.1327i) 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} +(-83.7878 - 89.8447i) 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} +(-299.170 - 167.768i) 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} +(-328.721 - 85.8791i) 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} +(165.720 - 471.788i) 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} +(-72.9759 - 19.0651i) 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} +(572.382 - 579.592i) 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} +(-137.927 - 597.325i) 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 0.785831 0.618441i \(-0.212236\pi\)
−0.928501 + 0.371329i \(0.878902\pi\)
\(6\) −3.55007 + 5.60342i −0.241552 + 0.381265i
\(7\) −4.68134 + 17.9188i −0.252769 + 0.967527i
\(8\) 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 0.405480 0.914104i \(-0.367105\pi\)
0.994377 + 0.105896i \(0.0337712\pi\)
\(14\) 16.6130 16.8223i 0.317144 0.321138i
\(15\) −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 \(-0.769390\pi\)
−0.748843 + 0.662748i \(0.769390\pi\)
\(18\) 28.3332 + 19.6282i 0.371011 + 0.257023i
\(19\) 74.7068i 0.902048i −0.892512 0.451024i \(-0.851059\pi\)
0.892512 0.451024i \(-0.148941\pi\)
\(20\) −10.1613 + 17.5999i −0.113607 + 0.196773i
\(21\) 92.0302 + 28.1327i 0.956316 + 0.292336i
\(22\) 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 −0.141882 0.989884i \(-0.545315\pi\)
0.786323 + 0.617815i \(0.211982\pi\)
\(32\) 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 \(-0.865188\pi\)
0.0999082 0.994997i \(-0.468145\pi\)
\(42\) −83.7878 89.8447i −0.307827 0.330079i
\(43\) −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 \(-0.656255\pi\)
0.999465 0.0327026i \(-0.0104114\pi\)
\(48\) 120.899 + 76.5959i 0.363547 + 0.230326i
\(49\) −299.170 167.768i −0.872216 0.489121i
\(50\) −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
\(56\) −328.721 85.8791i −0.784414 0.204930i
\(57\) −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 \(0.0383244\pi\)
−0.392363 + 0.919811i \(0.628342\pi\)
\(60\) 89.2036 + 56.5152i 0.191936 + 0.121601i
\(61\) 321.478 + 185.606i 0.674772 + 0.389580i 0.797882 0.602813i \(-0.205954\pi\)
−0.123110 + 0.992393i \(0.539287\pi\)
\(62\) −163.963 −0.335861
\(63\) 165.720 471.788i 0.331409 0.943487i
\(64\) −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
\(70\) −72.9759 19.0651i −0.124604 0.0325531i
\(71\) 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 \(-0.847135\pi\)
0.886885 0.461991i \(-0.152865\pi\)
\(74\) −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
\(77\) 572.382 579.592i 0.847129 0.857800i
\(78\) −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 −0.732677 0.680576i \(-0.761729\pi\)
0.955735 + 0.294229i \(0.0950628\pi\)
\(84\) −137.927 597.325i −0.179155 0.775874i
\(85\) 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 \(-0.291236\pi\)
0.609834 + 0.792529i \(0.291236\pi\)
\(90\) 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 0.466369 0.884590i \(-0.345562\pi\)
−0.532893 + 0.846183i \(0.678895\pi\)
\(98\) 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 −0.997363 0.0725790i \(-0.976877\pi\)
0.561537 + 0.827452i \(0.310210\pi\)
\(102\) 372.675 588.230i 0.361768 0.571015i
\(103\) 38.7086 22.3484i 0.0370299 0.0213792i −0.481371 0.876517i \(-0.659861\pi\)
0.518401 + 0.855138i \(0.326528\pi\)
\(104\) 694.953 + 1203.69i 0.655248 + 1.13492i
\(105\) −69.0727 299.135i −0.0641981 0.278025i
\(106\) −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
\(112\) −362.955 358.440i −0.306215 0.302406i
\(113\) 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
\(119\) 491.433 1881.07i 0.378568 1.44905i
\(120\) −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
\(126\) −484.353 + 415.811i −0.342457 + 0.293995i
\(127\) −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 0.591774 0.806104i \(-0.298428\pi\)
−0.993994 + 0.109439i \(0.965095\pi\)
\(132\) 1454.67 + 59.8611i 0.959188 + 0.0394715i
\(133\) 1338.66 + 349.728i 0.872756 + 0.228009i
\(134\) 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 −0.588326 0.808624i \(-0.700213\pi\)
0.406126 + 0.913817i \(0.366879\pi\)
\(140\) −267.802 264.470i −0.161667 0.159656i
\(141\) −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
\(147\) −934.929 + 1517.38i −0.524569 + 0.851368i
\(148\) −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 0.440647 0.897680i \(-0.354749\pi\)
0.997738 + 0.0672287i \(0.0214157\pi\)
\(158\) 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 0.662968 0.748648i \(-0.269297\pi\)
−0.979832 + 0.199823i \(0.935963\pi\)
\(168\) −516.093 + 1688.29i −0.237009 + 0.775325i
\(169\) 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 −0.699147 0.714978i \(-0.746437\pi\)
0.968763 + 0.247990i \(0.0797699\pi\)
\(174\) 178.669 93.5787i 0.0778438 0.0407712i
\(175\) 1513.08 + 1494.25i 0.653587 + 0.645457i
\(176\) 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 \(-0.963976\pi\)
0.993603 0.112931i \(-0.0360239\pi\)
\(182\) 452.782 1733.12i 0.184409 0.705866i
\(183\) 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
\(189\) −2414.00 961.173i −0.929063 0.369921i
\(190\) 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
\(196\) 27.3504 + 2184.85i 0.00996734 + 0.796228i
\(197\) 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 \(-0.810740\pi\)
0.828385 0.560158i \(-0.189260\pi\)
\(200\) 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
\(203\) 395.687 400.671i 0.136807 0.138530i
\(204\) 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
\(210\) −114.573 + 374.800i −0.0376488 + 0.123160i
\(211\) 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 0.163170 0.986598i \(-0.447828\pi\)
−0.772834 + 0.634608i \(0.781161\pi\)
\(224\) 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 −0.998331 0.0577480i \(-0.981608\pi\)
0.549177 + 0.835706i \(0.314941\pi\)
\(228\) 1147.34 + 2190.61i 0.333266 + 0.636300i
\(229\) −1213.76 + 700.766i −0.350252 + 0.202218i −0.664796 0.747025i \(-0.731482\pi\)
0.314544 + 0.949243i \(0.398148\pi\)
\(230\) 109.696 + 189.999i 0.0314485 + 0.0544704i
\(231\) −2886.81 3095.50i −0.822244 0.881682i
\(232\) 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
\(238\) −1743.98 + 1765.95i −0.474981 + 0.480964i
\(239\) −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 \(-0.946171\pi\)
−0.638622 0.769520i \(-0.720495\pi\)
\(242\) 770.474i 0.204661i
\(243\) 773.480 3708.19i 0.204192 0.978931i
\(244\) 2364.73i 0.620437i
\(245\) 13.6968 + 1094.15i 0.00357167 + 0.285318i
\(246\) 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 \(-0.134313\pi\)
0.912290 + 0.409545i \(0.134313\pi\)
\(252\) −3130.63 + 588.467i −0.782585 + 0.147103i
\(253\) −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 0.798141 0.602471i \(-0.205817\pi\)
−0.920825 + 0.389975i \(0.872484\pi\)
\(258\) −1021.81 1950.93i −0.246570 0.470773i
\(259\) −215.874 + 826.306i −0.0517907 + 0.198240i
\(260\) 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
\(266\) −1256.74 1241.10i −0.289682 0.286079i
\(267\) 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 \(-0.544411\pi\)
−0.139069 + 0.990283i \(0.544411\pi\)
\(270\) −567.024 70.3184i −0.127807 0.0158498i
\(271\) 7222.65i 1.61898i 0.587131 + 0.809492i \(0.300257\pi\)
−0.587131 + 0.809492i \(0.699743\pi\)
\(272\) 1445.72 2504.06i 0.322278 0.558202i
\(273\) 7104.23 1640.42i 1.57497 0.363674i
\(274\) −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 −0.918927 0.394427i \(-0.870943\pi\)
−0.117880 + 0.993028i \(0.537610\pi\)
\(284\) 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 0.955242 0.295825i \(-0.0955944\pi\)
−0.733813 + 0.679352i \(0.762261\pi\)
\(294\) 2002.15 1080.79i 0.397170 0.214397i
\(295\) 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
\(301\) −4375.02 4320.60i −0.837781 0.827359i
\(302\) 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 \(0.0901690\pi\)
−0.960145 + 0.279501i \(0.909831\pi\)
\(308\) −5020.65 1311.66i −0.928826 0.242658i
\(309\) −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 0.958229 0.286002i \(-0.0923264\pi\)
−0.726799 + 0.686850i \(0.758993\pi\)
\(312\) 6397.76 3350.86i 1.16090 0.608030i
\(313\) −4916.75 2838.69i −0.887895 0.512627i −0.0146418 0.999893i \(-0.504661\pi\)
−0.873253 + 0.487266i \(0.837994\pi\)
\(314\) −4171.05 −0.749636
\(315\) −1567.80 + 294.700i −0.280429 + 0.0527125i
\(316\) 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
\(322\) 321.938 1232.29i 0.0557172 0.213270i
\(323\) 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
\(329\) 4484.23 + 4428.45i 0.751440 + 0.742092i
\(330\) −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
\(336\) −1938.48 + 1807.80i −0.314740 + 0.293522i
\(337\) 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 0.380414 0.924816i \(-0.375781\pi\)
−0.610707 + 0.791856i \(0.709115\pi\)
\(350\) −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 \(0.415925\pi\)
−0.966526 + 0.256567i \(0.917409\pi\)
\(354\) −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
\(357\) −9661.05 2953.28i −1.43226 0.437827i
\(358\) −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
\(364\) 6280.96 6360.08i 0.904428 0.915821i
\(365\) −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 0.913489 0.406864i \(-0.133378\pi\)
0.104390 + 0.994536i \(0.466711\pi\)
\(368\) 1483.79i 0.210184i
\(369\) 4915.53 + 10404.9i 0.693475 + 1.46791i
\(370\) 187.802i 0.0263875i
\(371\) 4215.10 + 1101.20i 0.589857 + 0.154101i
\(372\) −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
\(378\) 2055.31 + 2603.48i 0.279666 + 0.354255i
\(379\) −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 0.509675 0.860367i \(-0.329766\pi\)
−0.999937 + 0.0112079i \(0.996432\pi\)
\(384\) −4005.04 + 6321.55i −0.532243 + 0.840091i
\(385\) −2514.30 656.867i −0.332833 0.0869534i
\(386\) 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
\(392\) 3077.71 5488.27i 0.396551 0.707142i
\(393\) −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 \(-0.781021\pi\)
0.772554 0.634949i \(-0.218979\pi\)
\(398\) −2007.44 + 3476.98i −0.252823 + 0.437903i
\(399\) 2101.70 6875.28i 0.263701 0.862643i
\(400\) 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 0.234990 0.971998i \(-0.424494\pi\)
0.959270 + 0.282491i \(0.0911609\pi\)
\(410\) 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 0.986767 0.162143i \(-0.0518406\pi\)
−0.633804 + 0.773494i \(0.718507\pi\)
\(420\) −1430.28 + 1333.86i −0.166168 + 0.154966i
\(421\) −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
\(427\) −4830.79 + 4891.64i −0.547490 + 0.554386i
\(428\) 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 \(-0.863854\pi\)
0.909916 0.414793i \(-0.136146\pi\)
\(434\) 767.567 2938.03i 0.0848950 0.324954i
\(435\) 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 0.455655 0.890156i \(-0.349405\pi\)
−0.543070 + 0.839687i \(0.682738\pi\)
\(440\) −2574.10 −0.278898
\(441\) 7678.11 + 5178.11i 0.829080 + 0.559131i
\(442\) 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
\(448\) 55.6653 213.071i 0.00587039 0.0224702i
\(449\) 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
\(455\) 3145.45 3185.08i 0.324090 0.328173i
\(456\) 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 −0.538561 0.842587i \(-0.681032\pi\)
0.998982 + 0.0451139i \(0.0143651\pi\)
\(462\) 1215.70 + 5264.89i 0.122424 + 0.530184i
\(463\) −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 \(-0.515700\pi\)
−0.0493038 + 0.998784i \(0.515700\pi\)
\(468\) 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 \(-0.602584\pi\)
0.979803 0.199964i \(-0.0640825\pi\)
\(480\) −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
\(483\) 5051.27 1166.38i 0.475861 0.109880i
\(484\) 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
\(490\) 683.250 1218.39i 0.0629920 0.112329i
\(491\) 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
\(497\) −17465.2 4562.82i −1.57630 0.411812i
\(498\) 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 \(-0.419808\pi\)
0.249275 + 0.968433i \(0.419808\pi\)
\(504\) 8654.95 + 3040.13i 0.764925 + 0.268687i
\(505\) 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 0.945023 0.327003i \(-0.106039\pi\)
−0.755704 + 0.654913i \(0.772705\pi\)
\(510\) −2219.62 91.3393i −0.192718 0.00793053i
\(511\) 10326.6 + 2697.85i 0.893977 + 0.233553i
\(512\) 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
\(518\) 766.088 775.739i 0.0649807 0.0657992i
\(519\) −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 \(-0.254382\pi\)
0.697305 + 0.716774i \(0.254382\pi\)
\(522\) −447.666 947.597i −0.0375360 0.0794544i
\(523\) 15080.9i 1.26088i −0.776237 0.630441i \(-0.782874\pi\)
0.776237 0.630441i \(-0.217126\pi\)
\(524\) −3841.77 + 6654.14i −0.320284 + 0.554747i
\(525\) 8081.06 7536.28i 0.671784 0.626496i
\(526\) −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
\(546\) −8901.22 2721.01i −0.697687 0.213275i
\(547\) 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
\(553\) −281.183 277.685i −0.0216223 0.0213533i
\(554\) 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
\(560\) −411.347 + 1574.52i −0.0310403 + 0.118814i
\(561\) 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 0.824523 0.565829i \(-0.191444\pi\)
−0.902283 + 0.431143i \(0.858110\pi\)
\(564\) −463.138 + 11254.6i −0.0345774 + 0.840257i
\(565\) −2003.26 1156.58i −0.149164 0.0861201i
\(566\) 7276.09 0.540348
\(567\) −5505.92 + 12327.6i −0.407807 + 0.913068i
\(568\) −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
\(574\) −9749.51 2547.08i −0.708949 0.185215i
\(575\) 6185.56i 0.448619i
\(576\) 319.968 + 26.3787i 0.0231459 + 0.00190818i
\(577\) 18306.7i 1.32083i 0.750901 + 0.660415i \(0.229619\pi\)
−0.750901 + 0.660415i \(0.770381\pi\)
\(578\) −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
\(581\) 4445.27 + 4389.97i 0.317420 + 0.313471i
\(582\) 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 \(-0.580015\pi\)
0.963175 0.268875i \(-0.0866519\pi\)
\(588\) 11349.1 + 324.787i 0.795964 + 0.0227789i
\(589\) −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 \(-0.902104\pi\)
−0.953078 + 0.302725i \(0.902104\pi\)
\(594\) −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 0.879907 0.475145i \(-0.157604\pi\)
0.0284661 + 0.999595i \(0.490938\pi\)
\(602\) 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 0.413827 0.910356i \(-0.364192\pi\)
0.995305 + 0.0967932i \(0.0308585\pi\)
\(608\) −6795.40 11770.0i −0.453273 0.785091i
\(609\) −1995.65 2139.91i −0.132788 0.142387i
\(610\) −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
\(616\) 10632.6 + 10500.3i 0.695455 + 0.686803i
\(617\) 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 0.892744 0.450565i \(-0.148777\pi\)
0.0561715 + 0.998421i \(0.482111\pi\)
\(620\) 2610.21i 0.169078i
\(621\) 2944.66 + 6960.59i 0.190282 + 0.449789i
\(622\) 3240.71i 0.208908i
\(623\) −4793.99 + 18350.0i −0.308294 + 1.18006i
\(624\) 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
\(630\) 1921.39 + 674.907i 0.121508 + 0.0426809i
\(631\) 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
\(637\) −25985.3 + 325.289i −1.61629 + 0.0202330i
\(638\) 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 −0.557417 0.830233i \(-0.688207\pi\)
0.440294 + 0.897853i \(0.354874\pi\)
\(644\) 4465.91 4522.16i 0.273263 0.276705i
\(645\) 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 \(-0.465262\pi\)
0.108916 + 0.994051i \(0.465262\pi\)
\(648\) −2190.18 + 13192.9i −0.132775 + 0.799796i
\(649\) 23935.1i 1.44767i
\(650\) −5552.86 + 9617.83i −0.335078 + 0.580373i
\(651\) 12043.3 2780.89i 0.725058 0.167422i
\(652\) −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 −0.693715 0.720250i \(-0.744027\pi\)
0.276897 + 0.960900i \(0.410694\pi\)
\(662\) −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
\(672\) 17058.2 3938.88i 0.979219 0.226109i
\(673\) 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 −0.927401 0.374067i \(-0.877963\pi\)
0.787653 + 0.616120i \(0.211296\pi\)
\(678\) −197.758 + 4805.67i −0.0112018 + 0.272214i
\(679\) 954.993 967.023i 0.0539754 0.0546553i
\(680\) −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
\(686\) −7792.36 + 2245.58i −0.433693 + 0.124981i
\(687\) 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 0.624910 0.780697i \(-0.285136\pi\)
−0.363649 + 0.931536i \(0.618469\pi\)
\(692\) −7816.39 −0.429385
\(693\) −16687.8 + 14326.3i −0.914744 + 0.785298i
\(694\) 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
\(700\) 3424.20 13106.9i 0.184889 0.707704i
\(701\) 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
\(707\) −11658.9 11513.9i −0.620197 0.612482i
\(708\) −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
\(714\) 8795.79 + 9431.62i 0.461028 + 0.494355i
\(715\) 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 \(-0.596807\pi\)
−0.299463 + 0.954108i \(0.596807\pi\)
\(720\) −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 0.690388 0.723440i \(-0.257440\pi\)
−0.281323 + 0.959613i \(0.590773\pi\)
\(728\) −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 \(-0.314153\pi\)
0.998185 0.0602216i \(-0.0191808\pi\)
\(734\) −5274.55 9135.79i −0.265242 0.459412i
\(735\) 5683.51 + 162.651i 0.285224 + 0.00816253i
\(736\) 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
\(742\) −3957.14 3907.92i −0.195783 0.193348i
\(743\) 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
\(749\) −9267.39 2421.13i −0.452100 0.118112i
\(750\) 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
\(756\) 2386.33 + 16379.2i 0.114802 + 0.787971i
\(757\) −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 0.537637 0.843176i \(-0.319317\pi\)
−0.999031 + 0.0440195i \(0.985984\pi\)
\(762\) 2014.67 3179.95i 0.0957792 0.151178i
\(763\) 185.620 710.502i 0.00880722 0.0337116i
\(764\) 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 −0.476772 0.879027i \(-0.658193\pi\)
0.522874 + 0.852410i \(0.324860\pi\)
\(770\) 2360.43 + 2331.07i 0.110473 + 0.109099i
\(771\) −4653.30 + 2437.19i −0.217360 + 0.113844i
\(772\) −8354.20 + 14469.9i −0.389474 + 0.674589i
\(773\) −4858.97 −0.226087 &min