Properties

Label 63.4.h.a.25.19
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.19
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.19

$q$-expansion

\(f(q)\) \(=\) \(q+3.86663 q^{2} +(-3.99989 - 3.31676i) q^{3} +6.95086 q^{4} +(6.67810 - 11.5668i) q^{5} +(-15.4661 - 12.8247i) q^{6} +(15.1080 - 10.7120i) q^{7} -4.05663 q^{8} +(4.99821 + 26.5333i) q^{9} +O(q^{10})\) \(q+3.86663 q^{2} +(-3.99989 - 3.31676i) q^{3} +6.95086 q^{4} +(6.67810 - 11.5668i) q^{5} +(-15.4661 - 12.8247i) q^{6} +(15.1080 - 10.7120i) q^{7} -4.05663 q^{8} +(4.99821 + 26.5333i) q^{9} +(25.8218 - 44.7246i) q^{10} +(14.3605 + 24.8730i) q^{11} +(-27.8027 - 23.0543i) q^{12} +(2.75723 + 4.77566i) q^{13} +(58.4172 - 41.4195i) q^{14} +(-65.0759 + 24.1163i) q^{15} -71.2924 q^{16} +(-8.48010 + 14.6880i) q^{17} +(19.3263 + 102.595i) q^{18} +(31.6694 + 54.8530i) q^{19} +(46.4185 - 80.3993i) q^{20} +(-95.9596 - 7.26276i) q^{21} +(55.5266 + 96.1750i) q^{22} +(-67.4183 + 116.772i) q^{23} +(16.2261 + 13.4549i) q^{24} +(-26.6939 - 46.2352i) q^{25} +(10.6612 + 18.4657i) q^{26} +(68.0124 - 122.708i) q^{27} +(105.014 - 74.4579i) q^{28} +(118.224 - 204.770i) q^{29} +(-251.625 + 93.2488i) q^{30} +92.9315 q^{31} -243.209 q^{32} +(25.0577 - 147.120i) q^{33} +(-32.7895 + 56.7930i) q^{34} +(-23.0111 - 246.287i) q^{35} +(34.7419 + 184.430i) q^{36} +(202.752 + 351.177i) q^{37} +(122.454 + 212.097i) q^{38} +(4.81111 - 28.2472i) q^{39} +(-27.0905 + 46.9222i) q^{40} +(-166.014 - 287.545i) q^{41} +(-371.041 - 28.0824i) q^{42} +(-173.016 + 299.673i) q^{43} +(99.8176 + 172.889i) q^{44} +(340.284 + 119.379i) q^{45} +(-260.682 + 451.514i) q^{46} -304.957 q^{47} +(285.162 + 236.460i) q^{48} +(113.505 - 323.675i) q^{49} +(-103.216 - 178.775i) q^{50} +(82.6359 - 30.6238i) q^{51} +(19.1651 + 33.1949i) q^{52} +(332.075 - 575.170i) q^{53} +(262.979 - 474.468i) q^{54} +383.602 q^{55} +(-61.2876 + 43.4547i) q^{56} +(55.2602 - 324.446i) q^{57} +(457.129 - 791.770i) q^{58} -137.659 q^{59} +(-452.334 + 167.629i) q^{60} -620.516 q^{61} +359.332 q^{62} +(359.739 + 347.325i) q^{63} -370.060 q^{64} +73.6521 q^{65} +(96.8889 - 568.858i) q^{66} -587.763 q^{67} +(-58.9440 + 102.094i) q^{68} +(656.970 - 243.464i) q^{69} +(-88.9755 - 952.304i) q^{70} -121.903 q^{71} +(-20.2759 - 107.636i) q^{72} +(143.624 - 248.763i) q^{73} +(783.969 + 1357.87i) q^{74} +(-46.5784 + 273.473i) q^{75} +(220.130 + 381.276i) q^{76} +(483.399 + 221.953i) q^{77} +(18.6028 - 109.221i) q^{78} +977.500 q^{79} +(-476.097 + 824.625i) q^{80} +(-679.036 + 265.238i) q^{81} +(-641.917 - 1111.83i) q^{82} +(-507.709 + 879.377i) q^{83} +(-667.002 - 50.4824i) q^{84} +(113.262 + 196.175i) q^{85} +(-668.992 + 1158.73i) q^{86} +(-1152.05 + 426.936i) q^{87} +(-58.2550 - 100.901i) q^{88} +(-258.781 - 448.222i) q^{89} +(1315.76 + 461.594i) q^{90} +(92.8132 + 42.6152i) q^{91} +(-468.616 + 811.666i) q^{92} +(-371.716 - 308.231i) q^{93} -1179.16 q^{94} +845.965 q^{95} +(972.807 + 806.665i) q^{96} +(-823.870 + 1426.99i) q^{97} +(438.882 - 1251.53i) q^{98} +(-588.188 + 505.352i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.86663 1.36706 0.683531 0.729922i \(-0.260443\pi\)
0.683531 + 0.729922i \(0.260443\pi\)
\(3\) −3.99989 3.31676i −0.769779 0.638311i
\(4\) 6.95086 0.868858
\(5\) 6.67810 11.5668i 0.597307 1.03457i −0.395910 0.918289i \(-0.629571\pi\)
0.993217 0.116277i \(-0.0370959\pi\)
\(6\) −15.4661 12.8247i −1.05234 0.872610i
\(7\) 15.1080 10.7120i 0.815757 0.578395i
\(8\) −4.05663 −0.179279
\(9\) 4.99821 + 26.5333i 0.185119 + 0.982716i
\(10\) 25.8218 44.7246i 0.816556 1.41432i
\(11\) 14.3605 + 24.8730i 0.393622 + 0.681773i 0.992924 0.118750i \(-0.0378886\pi\)
−0.599302 + 0.800523i \(0.704555\pi\)
\(12\) −27.8027 23.0543i −0.668828 0.554601i
\(13\) 2.75723 + 4.77566i 0.0588244 + 0.101887i 0.893938 0.448191i \(-0.147931\pi\)
−0.835114 + 0.550078i \(0.814598\pi\)
\(14\) 58.4172 41.4195i 1.11519 0.790702i
\(15\) −65.0759 + 24.1163i −1.12017 + 0.415120i
\(16\) −71.2924 −1.11394
\(17\) −8.48010 + 14.6880i −0.120984 + 0.209550i −0.920156 0.391552i \(-0.871938\pi\)
0.799172 + 0.601102i \(0.205272\pi\)
\(18\) 19.3263 + 102.595i 0.253069 + 1.34343i
\(19\) 31.6694 + 54.8530i 0.382393 + 0.662323i 0.991404 0.130838i \(-0.0417669\pi\)
−0.609011 + 0.793162i \(0.708434\pi\)
\(20\) 46.4185 80.3993i 0.518975 0.898891i
\(21\) −95.9596 7.26276i −0.997148 0.0754697i
\(22\) 55.5266 + 96.1750i 0.538106 + 0.932026i
\(23\) −67.4183 + 116.772i −0.611204 + 1.05864i 0.379834 + 0.925055i \(0.375981\pi\)
−0.991038 + 0.133582i \(0.957352\pi\)
\(24\) 16.2261 + 13.4549i 0.138005 + 0.114436i
\(25\) −26.6939 46.2352i −0.213551 0.369882i
\(26\) 10.6612 + 18.4657i 0.0804166 + 0.139286i
\(27\) 68.0124 122.708i 0.484778 0.874637i
\(28\) 105.014 74.4579i 0.708777 0.502543i
\(29\) 118.224 204.770i 0.757022 1.31120i −0.187341 0.982295i \(-0.559987\pi\)
0.944363 0.328905i \(-0.106680\pi\)
\(30\) −251.625 + 93.2488i −1.53134 + 0.567494i
\(31\) 92.9315 0.538419 0.269210 0.963082i \(-0.413238\pi\)
0.269210 + 0.963082i \(0.413238\pi\)
\(32\) −243.209 −1.34355
\(33\) 25.0577 147.120i 0.132181 0.776068i
\(34\) −32.7895 + 56.7930i −0.165393 + 0.286468i
\(35\) −23.0111 246.287i −0.111131 1.18943i
\(36\) 34.7419 + 184.430i 0.160842 + 0.853841i
\(37\) 202.752 + 351.177i 0.900872 + 1.56036i 0.826365 + 0.563135i \(0.190405\pi\)
0.0745066 + 0.997221i \(0.476262\pi\)
\(38\) 122.454 + 212.097i 0.522754 + 0.905437i
\(39\) 4.81111 28.2472i 0.0197537 0.115979i
\(40\) −27.0905 + 46.9222i −0.107085 + 0.185476i
\(41\) −166.014 287.545i −0.632368 1.09529i −0.987066 0.160313i \(-0.948750\pi\)
0.354698 0.934981i \(-0.384584\pi\)
\(42\) −371.041 28.0824i −1.36316 0.103172i
\(43\) −173.016 + 299.673i −0.613599 + 1.06279i 0.377029 + 0.926201i \(0.376946\pi\)
−0.990629 + 0.136584i \(0.956388\pi\)
\(44\) 99.8176 + 172.889i 0.342002 + 0.592364i
\(45\) 340.284 + 119.379i 1.12726 + 0.395465i
\(46\) −260.682 + 451.514i −0.835554 + 1.44722i
\(47\) −304.957 −0.946437 −0.473218 0.880945i \(-0.656908\pi\)
−0.473218 + 0.880945i \(0.656908\pi\)
\(48\) 285.162 + 236.460i 0.857490 + 0.711042i
\(49\) 113.505 323.675i 0.330918 0.943660i
\(50\) −103.216 178.775i −0.291938 0.505651i
\(51\) 82.6359 30.6238i 0.226889 0.0840821i
\(52\) 19.1651 + 33.1949i 0.0511100 + 0.0885252i
\(53\) 332.075 575.170i 0.860641 1.49067i −0.0106707 0.999943i \(-0.503397\pi\)
0.871311 0.490730i \(-0.163270\pi\)
\(54\) 262.979 474.468i 0.662721 1.19568i
\(55\) 383.602 0.940453
\(56\) −61.2876 + 43.4547i −0.146248 + 0.103694i
\(57\) 55.2602 324.446i 0.128410 0.753928i
\(58\) 457.129 791.770i 1.03490 1.79249i
\(59\) −137.659 −0.303757 −0.151878 0.988399i \(-0.548532\pi\)
−0.151878 + 0.988399i \(0.548532\pi\)
\(60\) −452.334 + 167.629i −0.973268 + 0.360680i
\(61\) −620.516 −1.30244 −0.651221 0.758888i \(-0.725743\pi\)
−0.651221 + 0.758888i \(0.725743\pi\)
\(62\) 359.332 0.736052
\(63\) 359.739 + 347.325i 0.719410 + 0.694585i
\(64\) −370.060 −0.722773
\(65\) 73.6521 0.140545
\(66\) 96.8889 568.858i 0.180700 1.06093i
\(67\) −587.763 −1.07174 −0.535871 0.844300i \(-0.680017\pi\)
−0.535871 + 0.844300i \(0.680017\pi\)
\(68\) −58.9440 + 102.094i −0.105118 + 0.182069i
\(69\) 656.970 243.464i 1.14623 0.424778i
\(70\) −88.9755 952.304i −0.151923 1.62603i
\(71\) −121.903 −0.203764 −0.101882 0.994796i \(-0.532486\pi\)
−0.101882 + 0.994796i \(0.532486\pi\)
\(72\) −20.2759 107.636i −0.0331880 0.176181i
\(73\) 143.624 248.763i 0.230272 0.398843i −0.727616 0.685985i \(-0.759372\pi\)
0.957888 + 0.287142i \(0.0927051\pi\)
\(74\) 783.969 + 1357.87i 1.23155 + 2.13310i
\(75\) −46.5784 + 273.473i −0.0717122 + 0.421039i
\(76\) 220.130 + 381.276i 0.332245 + 0.575465i
\(77\) 483.399 + 221.953i 0.715434 + 0.328492i
\(78\) 18.6028 109.221i 0.0270045 0.158550i
\(79\) 977.500 1.39212 0.696059 0.717984i \(-0.254935\pi\)
0.696059 + 0.717984i \(0.254935\pi\)
\(80\) −476.097 + 824.625i −0.665366 + 1.15245i
\(81\) −679.036 + 265.238i −0.931462 + 0.363839i
\(82\) −641.917 1111.83i −0.864487 1.49733i
\(83\) −507.709 + 879.377i −0.671425 + 1.16294i 0.306075 + 0.952007i \(0.400984\pi\)
−0.977500 + 0.210934i \(0.932349\pi\)
\(84\) −667.002 50.4824i −0.866380 0.0655725i
\(85\) 113.262 + 196.175i 0.144529 + 0.250332i
\(86\) −668.992 + 1158.73i −0.838828 + 1.45289i
\(87\) −1152.05 + 426.936i −1.41969 + 0.526119i
\(88\) −58.2550 100.901i −0.0705683 0.122228i
\(89\) −258.781 448.222i −0.308211 0.533837i 0.669760 0.742577i \(-0.266397\pi\)
−0.977971 + 0.208741i \(0.933063\pi\)
\(90\) 1315.76 + 461.594i 1.54103 + 0.540626i
\(91\) 92.8132 + 42.6152i 0.106917 + 0.0490911i
\(92\) −468.616 + 811.666i −0.531049 + 0.919805i
\(93\) −371.716 308.231i −0.414464 0.343679i
\(94\) −1179.16 −1.29384
\(95\) 845.965 0.913623
\(96\) 972.807 + 806.665i 1.03424 + 0.857603i
\(97\) −823.870 + 1426.99i −0.862385 + 1.49369i 0.00723506 + 0.999974i \(0.497697\pi\)
−0.869620 + 0.493721i \(0.835636\pi\)
\(98\) 438.882 1251.53i 0.452385 1.29004i
\(99\) −588.188 + 505.352i −0.597123 + 0.513028i
\(100\) −185.546 321.375i −0.185546 0.321375i
\(101\) −470.263 814.519i −0.463296 0.802452i 0.535827 0.844328i \(-0.320000\pi\)
−0.999123 + 0.0418759i \(0.986667\pi\)
\(102\) 319.523 118.411i 0.310171 0.114945i
\(103\) −50.1054 + 86.7851i −0.0479323 + 0.0830212i −0.888996 0.457915i \(-0.848597\pi\)
0.841064 + 0.540936i \(0.181930\pi\)
\(104\) −11.1850 19.3731i −0.0105460 0.0182662i
\(105\) −724.835 + 1061.44i −0.673682 + 0.986537i
\(106\) 1284.01 2223.97i 1.17655 2.03784i
\(107\) 232.210 + 402.200i 0.209800 + 0.363384i 0.951651 0.307180i \(-0.0993853\pi\)
−0.741851 + 0.670564i \(0.766052\pi\)
\(108\) 472.745 852.928i 0.421203 0.759936i
\(109\) −227.492 + 394.028i −0.199906 + 0.346248i −0.948498 0.316783i \(-0.897397\pi\)
0.748591 + 0.663032i \(0.230730\pi\)
\(110\) 1483.25 1.28566
\(111\) 353.784 2077.15i 0.302520 1.77616i
\(112\) −1077.09 + 763.686i −0.908707 + 0.644300i
\(113\) −443.068 767.417i −0.368853 0.638872i 0.620534 0.784180i \(-0.286916\pi\)
−0.989386 + 0.145308i \(0.953583\pi\)
\(114\) 213.671 1254.51i 0.175545 1.03067i
\(115\) 900.452 + 1559.63i 0.730153 + 1.26466i
\(116\) 821.758 1423.33i 0.657744 1.13925i
\(117\) −112.933 + 97.0282i −0.0892363 + 0.0766689i
\(118\) −532.276 −0.415254
\(119\) 29.2204 + 312.745i 0.0225095 + 0.240919i
\(120\) 263.989 97.8307i 0.200823 0.0744224i
\(121\) 253.054 438.303i 0.190124 0.329304i
\(122\) −2399.31 −1.78052
\(123\) −289.680 + 1700.78i −0.212354 + 1.24678i
\(124\) 645.954 0.467810
\(125\) 956.466 0.684391
\(126\) 1390.98 + 1342.98i 0.983478 + 0.949541i
\(127\) −225.747 −0.157731 −0.0788655 0.996885i \(-0.525130\pi\)
−0.0788655 + 0.996885i \(0.525130\pi\)
\(128\) 514.783 0.355475
\(129\) 1685.99 624.806i 1.15072 0.426443i
\(130\) 284.786 0.192134
\(131\) −258.667 + 448.024i −0.172518 + 0.298809i −0.939299 0.343098i \(-0.888524\pi\)
0.766782 + 0.641908i \(0.221857\pi\)
\(132\) 174.173 1022.61i 0.114847 0.674293i
\(133\) 1066.05 + 489.477i 0.695024 + 0.319121i
\(134\) −2272.66 −1.46514
\(135\) −965.148 1606.14i −0.615309 1.02396i
\(136\) 34.4006 59.5836i 0.0216899 0.0375680i
\(137\) −627.205 1086.35i −0.391137 0.677469i 0.601463 0.798901i \(-0.294585\pi\)
−0.992600 + 0.121432i \(0.961251\pi\)
\(138\) 2540.26 941.388i 1.56697 0.580698i
\(139\) −380.390 658.855i −0.232117 0.402039i 0.726314 0.687363i \(-0.241232\pi\)
−0.958431 + 0.285325i \(0.907899\pi\)
\(140\) −159.947 1711.91i −0.0965571 1.03345i
\(141\) 1219.79 + 1011.47i 0.728547 + 0.604121i
\(142\) −471.355 −0.278558
\(143\) −79.1901 + 137.161i −0.0463091 + 0.0802098i
\(144\) −356.335 1891.63i −0.206212 1.09469i
\(145\) −1579.02 2734.94i −0.904349 1.56638i
\(146\) 555.340 961.876i 0.314796 0.545243i
\(147\) −1527.56 + 918.197i −0.857081 + 0.515181i
\(148\) 1409.30 + 2440.98i 0.782729 + 1.35573i
\(149\) −1281.40 + 2219.46i −0.704541 + 1.22030i 0.262316 + 0.964982i \(0.415514\pi\)
−0.966857 + 0.255319i \(0.917820\pi\)
\(150\) −180.102 + 1057.42i −0.0980350 + 0.575587i
\(151\) 46.7419 + 80.9593i 0.0251907 + 0.0436316i 0.878346 0.478026i \(-0.158647\pi\)
−0.853155 + 0.521657i \(0.825314\pi\)
\(152\) −128.471 222.518i −0.0685551 0.118741i
\(153\) −432.106 151.592i −0.228325 0.0801011i
\(154\) 1869.13 + 858.211i 0.978043 + 0.449069i
\(155\) 620.606 1074.92i 0.321602 0.557030i
\(156\) 33.4413 196.342i 0.0171631 0.100769i
\(157\) 2822.48 1.43477 0.717384 0.696678i \(-0.245339\pi\)
0.717384 + 0.696678i \(0.245339\pi\)
\(158\) 3779.64 1.90311
\(159\) −3235.96 + 1199.20i −1.61402 + 0.598133i
\(160\) −1624.17 + 2813.15i −0.802512 + 1.38999i
\(161\) 232.307 + 2486.38i 0.113717 + 1.21711i
\(162\) −2625.58 + 1025.58i −1.27337 + 0.497390i
\(163\) 998.302 + 1729.11i 0.479712 + 0.830886i 0.999729 0.0232701i \(-0.00740778\pi\)
−0.520017 + 0.854156i \(0.674074\pi\)
\(164\) −1153.94 1998.69i −0.549438 0.951655i
\(165\) −1534.37 1272.32i −0.723941 0.600301i
\(166\) −1963.12 + 3400.23i −0.917879 + 1.58981i
\(167\) −1551.97 2688.08i −0.719130 1.24557i −0.961345 0.275347i \(-0.911207\pi\)
0.242215 0.970223i \(-0.422126\pi\)
\(168\) 389.273 + 29.4623i 0.178768 + 0.0135302i
\(169\) 1083.30 1876.32i 0.493079 0.854039i
\(170\) 437.942 + 758.538i 0.197580 + 0.342219i
\(171\) −1297.14 + 1114.46i −0.580088 + 0.498392i
\(172\) −1202.61 + 2082.99i −0.533131 + 0.923409i
\(173\) 320.396 0.140805 0.0704024 0.997519i \(-0.477572\pi\)
0.0704024 + 0.997519i \(0.477572\pi\)
\(174\) −4454.57 + 1650.81i −1.94081 + 0.719237i
\(175\) −898.566 412.577i −0.388144 0.178216i
\(176\) −1023.79 1773.26i −0.438473 0.759457i
\(177\) 550.619 + 456.581i 0.233825 + 0.193891i
\(178\) −1000.61 1733.11i −0.421343 0.729788i
\(179\) 1051.64 1821.50i 0.439125 0.760587i −0.558497 0.829507i \(-0.688622\pi\)
0.997622 + 0.0689193i \(0.0219551\pi\)
\(180\) 2365.27 + 829.786i 0.979427 + 0.343603i
\(181\) 2247.71 0.923045 0.461522 0.887129i \(-0.347303\pi\)
0.461522 + 0.887129i \(0.347303\pi\)
\(182\) 358.875 + 164.778i 0.146162 + 0.0671106i
\(183\) 2482.00 + 2058.10i 1.00259 + 0.831363i
\(184\) 273.491 473.700i 0.109576 0.189792i
\(185\) 5415.99 2.15239
\(186\) −1437.29 1191.82i −0.566597 0.469830i
\(187\) −487.113 −0.190488
\(188\) −2119.71 −0.822319
\(189\) −286.921 2582.43i −0.110426 0.993884i
\(190\) 3271.04 1.24898
\(191\) 141.725 0.0536904 0.0268452 0.999640i \(-0.491454\pi\)
0.0268452 + 0.999640i \(0.491454\pi\)
\(192\) 1480.20 + 1227.40i 0.556375 + 0.461354i
\(193\) 609.033 0.227146 0.113573 0.993530i \(-0.463770\pi\)
0.113573 + 0.993530i \(0.463770\pi\)
\(194\) −3185.61 + 5517.63i −1.17893 + 2.04197i
\(195\) −294.600 244.286i −0.108188 0.0897113i
\(196\) 788.956 2249.82i 0.287521 0.819906i
\(197\) 2446.99 0.884978 0.442489 0.896774i \(-0.354096\pi\)
0.442489 + 0.896774i \(0.354096\pi\)
\(198\) −2274.31 + 1954.01i −0.816304 + 0.701341i
\(199\) 1295.56 2243.98i 0.461507 0.799354i −0.537529 0.843245i \(-0.680642\pi\)
0.999036 + 0.0438910i \(0.0139754\pi\)
\(200\) 108.287 + 187.559i 0.0382853 + 0.0663122i
\(201\) 2350.99 + 1949.47i 0.825004 + 0.684104i
\(202\) −1818.33 3149.45i −0.633354 1.09700i
\(203\) −407.371 4360.08i −0.140846 1.50748i
\(204\) 574.391 212.862i 0.197134 0.0730554i
\(205\) −4434.64 −1.51087
\(206\) −193.739 + 335.566i −0.0655265 + 0.113495i
\(207\) −3435.32 1205.18i −1.15348 0.404666i
\(208\) −196.569 340.468i −0.0655271 0.113496i
\(209\) −909.574 + 1575.43i −0.301036 + 0.521410i
\(210\) −2802.67 + 4104.22i −0.920965 + 1.34866i
\(211\) 140.960 + 244.150i 0.0459910 + 0.0796588i 0.888105 0.459642i \(-0.152022\pi\)
−0.842114 + 0.539300i \(0.818689\pi\)
\(212\) 2308.21 3997.93i 0.747775 1.29518i
\(213\) 487.599 + 404.324i 0.156853 + 0.130065i
\(214\) 897.872 + 1555.16i 0.286810 + 0.496769i
\(215\) 2310.84 + 4002.49i 0.733014 + 1.26962i
\(216\) −275.901 + 497.782i −0.0869106 + 0.156804i
\(217\) 1404.01 995.485i 0.439219 0.311419i
\(218\) −879.629 + 1523.56i −0.273284 + 0.473342i
\(219\) −1399.57 + 518.660i −0.431844 + 0.160036i
\(220\) 2666.37 0.817120
\(221\) −93.5263 −0.0284672
\(222\) 1367.95 8031.58i 0.413563 2.42813i
\(223\) −803.773 + 1392.18i −0.241366 + 0.418058i −0.961104 0.276188i \(-0.910929\pi\)
0.719738 + 0.694246i \(0.244262\pi\)
\(224\) −3674.40 + 2605.26i −1.09601 + 0.777103i
\(225\) 1093.35 939.372i 0.323956 0.278333i
\(226\) −1713.18 2967.32i −0.504245 0.873377i
\(227\) 2094.27 + 3627.38i 0.612342 + 1.06061i 0.990845 + 0.135007i \(0.0431057\pi\)
−0.378503 + 0.925600i \(0.623561\pi\)
\(228\) 384.106 2255.18i 0.111570 0.655056i
\(229\) 1355.15 2347.19i 0.391052 0.677322i −0.601536 0.798845i \(-0.705444\pi\)
0.992589 + 0.121523i \(0.0387778\pi\)
\(230\) 3481.72 + 6030.51i 0.998164 + 1.72887i
\(231\) −1197.38 2491.10i −0.341046 0.709535i
\(232\) −479.590 + 830.675i −0.135718 + 0.235071i
\(233\) −1520.98 2634.42i −0.427652 0.740715i 0.569012 0.822329i \(-0.307326\pi\)
−0.996664 + 0.0816144i \(0.973992\pi\)
\(234\) −436.670 + 375.172i −0.121992 + 0.104811i
\(235\) −2036.53 + 3527.37i −0.565313 + 0.979151i
\(236\) −956.847 −0.263921
\(237\) −3909.89 3242.13i −1.07162 0.888604i
\(238\) 112.985 + 1209.27i 0.0307718 + 0.329351i
\(239\) −697.856 1208.72i −0.188873 0.327137i 0.756002 0.654569i \(-0.227150\pi\)
−0.944875 + 0.327432i \(0.893817\pi\)
\(240\) 4639.42 1719.31i 1.24781 0.462420i
\(241\) −1973.58 3418.33i −0.527507 0.913669i −0.999486 0.0320590i \(-0.989794\pi\)
0.471979 0.881610i \(-0.343540\pi\)
\(242\) 978.469 1694.76i 0.259911 0.450178i
\(243\) 3595.80 + 1191.27i 0.949262 + 0.314487i
\(244\) −4313.12 −1.13164
\(245\) −2985.89 3474.42i −0.778619 0.906011i
\(246\) −1120.09 + 6576.29i −0.290301 + 1.70443i
\(247\) −174.639 + 302.484i −0.0449880 + 0.0779215i
\(248\) −376.989 −0.0965274
\(249\) 4947.46 1833.46i 1.25917 0.466630i
\(250\) 3698.30 0.935605
\(251\) 50.3155 0.0126529 0.00632646 0.999980i \(-0.497986\pi\)
0.00632646 + 0.999980i \(0.497986\pi\)
\(252\) 2500.50 + 2414.21i 0.625065 + 0.603496i
\(253\) −3872.63 −0.962333
\(254\) −872.882 −0.215628
\(255\) 197.632 1160.34i 0.0485340 0.284955i
\(256\) 4950.96 1.20873
\(257\) −1160.46 + 2009.98i −0.281664 + 0.487857i −0.971795 0.235828i \(-0.924220\pi\)
0.690130 + 0.723685i \(0.257553\pi\)
\(258\) 6519.11 2415.90i 1.57311 0.582973i
\(259\) 6825.00 + 3133.70i 1.63739 + 0.751810i
\(260\) 511.946 0.122114
\(261\) 6024.13 + 2113.39i 1.42868 + 0.501209i
\(262\) −1000.17 + 1732.35i −0.235842 + 0.408491i
\(263\) −1702.16 2948.22i −0.399086 0.691237i 0.594528 0.804075i \(-0.297339\pi\)
−0.993613 + 0.112838i \(0.964006\pi\)
\(264\) −101.650 + 596.809i −0.0236974 + 0.139133i
\(265\) −4435.25 7682.08i −1.02813 1.78078i
\(266\) 4122.02 + 1892.63i 0.950141 + 0.436258i
\(267\) −451.549 + 2651.15i −0.103500 + 0.607670i
\(268\) −4085.46 −0.931191
\(269\) −3140.95 + 5440.28i −0.711922 + 1.23308i 0.252213 + 0.967672i \(0.418842\pi\)
−0.964135 + 0.265413i \(0.914492\pi\)
\(270\) −3731.88 6210.37i −0.841166 1.39982i
\(271\) 1804.21 + 3124.98i 0.404419 + 0.700475i 0.994254 0.107049i \(-0.0341403\pi\)
−0.589834 + 0.807524i \(0.700807\pi\)
\(272\) 604.567 1047.14i 0.134769 0.233427i
\(273\) −229.898 478.295i −0.0509673 0.106036i
\(274\) −2425.17 4200.52i −0.534708 0.926142i
\(275\) 766.674 1327.92i 0.168117 0.291187i
\(276\) 4566.51 1692.29i 0.995912 0.369072i
\(277\) −1053.04 1823.92i −0.228415 0.395627i 0.728923 0.684595i \(-0.240021\pi\)
−0.957339 + 0.288969i \(0.906688\pi\)
\(278\) −1470.83 2547.55i −0.317318 0.549612i
\(279\) 464.491 + 2465.78i 0.0996716 + 0.529113i
\(280\) 93.3475 + 999.097i 0.0199235 + 0.213241i
\(281\) 972.004 1683.56i 0.206352 0.357412i −0.744211 0.667945i \(-0.767174\pi\)
0.950563 + 0.310533i \(0.100507\pi\)
\(282\) 4716.49 + 3910.98i 0.995969 + 0.825870i
\(283\) −9241.49 −1.94116 −0.970582 0.240771i \(-0.922600\pi\)
−0.970582 + 0.240771i \(0.922600\pi\)
\(284\) −847.332 −0.177042
\(285\) −3383.77 2805.86i −0.703288 0.583175i
\(286\) −306.199 + 530.352i −0.0633075 + 0.109652i
\(287\) −5588.35 2565.89i −1.14937 0.527735i
\(288\) −1215.61 6453.14i −0.248717 1.32033i
\(289\) 2312.68 + 4005.67i 0.470726 + 0.815321i
\(290\) −6105.50 10575.0i −1.23630 2.14134i
\(291\) 8028.36 2975.20i 1.61729 0.599345i
\(292\) 998.307 1729.12i 0.200074 0.346538i
\(293\) 3079.42 + 5333.71i 0.613998 + 1.06348i 0.990559 + 0.137084i \(0.0437731\pi\)
−0.376561 + 0.926392i \(0.622894\pi\)
\(294\) −5906.51 + 3550.33i −1.17168 + 0.704284i
\(295\) −919.298 + 1592.27i −0.181436 + 0.314256i
\(296\) −822.490 1424.59i −0.161508 0.279739i
\(297\) 4028.82 70.4710i 0.787123 0.0137682i
\(298\) −4954.72 + 8581.82i −0.963151 + 1.66823i
\(299\) −743.550 −0.143815
\(300\) −323.760 + 1900.87i −0.0623077 + 0.365823i
\(301\) 596.173 + 6380.83i 0.114162 + 1.22188i
\(302\) 180.734 + 313.040i 0.0344373 + 0.0596471i
\(303\) −820.565 + 4817.73i −0.155578 + 0.913437i
\(304\) −2257.79 3910.60i −0.425964 0.737791i
\(305\) −4143.87 + 7177.39i −0.777958 + 1.34746i
\(306\) −1670.80 586.150i −0.312134 0.109503i
\(307\) 3956.54 0.735544 0.367772 0.929916i \(-0.380121\pi\)
0.367772 + 0.929916i \(0.380121\pi\)
\(308\) 3360.04 + 1542.76i 0.621611 + 0.285413i
\(309\) 488.261 180.943i 0.0898907 0.0333123i
\(310\) 2399.65 4156.32i 0.439649 0.761495i
\(311\) 5557.43 1.01329 0.506644 0.862155i \(-0.330886\pi\)
0.506644 + 0.862155i \(0.330886\pi\)
\(312\) −19.5169 + 114.588i −0.00354143 + 0.0207926i
\(313\) −5348.55 −0.965873 −0.482936 0.875655i \(-0.660430\pi\)
−0.482936 + 0.875655i \(0.660430\pi\)
\(314\) 10913.5 1.96142
\(315\) 6419.81 1841.56i 1.14830 0.329397i
\(316\) 6794.47 1.20955
\(317\) −6418.11 −1.13715 −0.568576 0.822631i \(-0.692505\pi\)
−0.568576 + 0.822631i \(0.692505\pi\)
\(318\) −12512.3 + 4636.89i −2.20646 + 0.817684i
\(319\) 6791.00 1.19192
\(320\) −2471.29 + 4280.41i −0.431717 + 0.747756i
\(321\) 405.186 2378.94i 0.0704525 0.413643i
\(322\) 898.247 + 9613.93i 0.155458 + 1.66386i
\(323\) −1074.24 −0.185053
\(324\) −4719.88 + 1843.64i −0.809308 + 0.316124i
\(325\) 147.202 254.962i 0.0251241 0.0435161i
\(326\) 3860.07 + 6685.84i 0.655796 + 1.13587i
\(327\) 2216.84 821.531i 0.374898 0.138932i
\(328\) 673.459 + 1166.46i 0.113371 + 0.196364i
\(329\) −4607.29 + 3266.71i −0.772062 + 0.547415i
\(330\) −5932.83 4919.58i −0.989671 0.820648i
\(331\) −3261.47 −0.541590 −0.270795 0.962637i \(-0.587287\pi\)
−0.270795 + 0.962637i \(0.587287\pi\)
\(332\) −3529.01 + 6112.43i −0.583373 + 1.01043i
\(333\) −8304.50 + 7134.95i −1.36662 + 1.17415i
\(334\) −6000.89 10393.8i −0.983096 1.70277i
\(335\) −3925.14 + 6798.54i −0.640159 + 1.10879i
\(336\) 6841.19 + 517.779i 1.11077 + 0.0840690i
\(337\) 897.370 + 1554.29i 0.145053 + 0.251239i 0.929393 0.369092i \(-0.120331\pi\)
−0.784340 + 0.620332i \(0.786998\pi\)
\(338\) 4188.71 7255.05i 0.674070 1.16752i
\(339\) −773.114 + 4539.13i −0.123864 + 0.727233i
\(340\) 787.268 + 1363.59i 0.125575 + 0.217503i
\(341\) 1334.54 + 2311.49i 0.211934 + 0.367080i
\(342\) −5015.58 + 4309.22i −0.793016 + 0.681333i
\(343\) −1752.39 6105.96i −0.275860 0.961198i
\(344\) 701.863 1215.66i 0.110006 0.190535i
\(345\) 1571.21 9224.92i 0.245191 1.43957i
\(346\) 1238.85 0.192489
\(347\) 1866.26 0.288721 0.144360 0.989525i \(-0.453888\pi\)
0.144360 + 0.989525i \(0.453888\pi\)
\(348\) −8007.77 + 2967.57i −1.23351 + 0.457123i
\(349\) 2296.96 3978.45i 0.352302 0.610205i −0.634350 0.773046i \(-0.718732\pi\)
0.986652 + 0.162841i \(0.0520657\pi\)
\(350\) −3474.42 1595.28i −0.530617 0.243633i
\(351\) 773.538 13.5305i 0.117631 0.00205757i
\(352\) −3492.59 6049.34i −0.528851 0.915997i
\(353\) 3078.87 + 5332.76i 0.464226 + 0.804062i 0.999166 0.0408273i \(-0.0129993\pi\)
−0.534941 + 0.844890i \(0.679666\pi\)
\(354\) 2129.04 + 1765.43i 0.319654 + 0.265061i
\(355\) −814.081 + 1410.03i −0.121710 + 0.210807i
\(356\) −1798.75 3115.53i −0.267791 0.463828i
\(357\) 920.423 1347.86i 0.136454 0.199822i
\(358\) 4066.32 7043.07i 0.600311 1.03977i
\(359\) 1828.80 + 3167.58i 0.268859 + 0.465678i 0.968568 0.248751i \(-0.0800200\pi\)
−0.699708 + 0.714429i \(0.746687\pi\)
\(360\) −1380.41 484.275i −0.202094 0.0708988i
\(361\) 1423.60 2465.74i 0.207552 0.359490i
\(362\) 8691.08 1.26186
\(363\) −2465.94 + 913.843i −0.356551 + 0.132133i
\(364\) 645.132 + 296.213i 0.0928959 + 0.0426532i
\(365\) −1918.26 3322.53i −0.275086 0.476463i
\(366\) 9596.97 + 7957.93i 1.37061 + 1.13652i
\(367\) −3541.93 6134.81i −0.503780 0.872573i −0.999990 0.00437080i \(-0.998609\pi\)
0.496210 0.868203i \(-0.334725\pi\)
\(368\) 4806.41 8324.95i 0.680847 1.17926i
\(369\) 6799.76 5842.13i 0.959300 0.824198i
\(370\) 20941.7 2.94245
\(371\) −1144.25 12246.9i −0.160125 1.71382i
\(372\) −2583.74 2142.47i −0.360110 0.298608i
\(373\) −6621.10 + 11468.1i −0.919109 + 1.59194i −0.118338 + 0.992973i \(0.537757\pi\)
−0.800771 + 0.598970i \(0.795577\pi\)
\(374\) −1883.49 −0.260409
\(375\) −3825.76 3172.37i −0.526830 0.436854i
\(376\) 1237.10 0.169677
\(377\) 1303.88 0.178125
\(378\) −1109.42 9985.31i −0.150959 1.35870i
\(379\) −1915.73 −0.259643 −0.129821 0.991537i \(-0.541440\pi\)
−0.129821 + 0.991537i \(0.541440\pi\)
\(380\) 5880.19 0.793809
\(381\) 902.964 + 748.750i 0.121418 + 0.100681i
\(382\) 547.999 0.0733981
\(383\) 5821.11 10082.5i 0.776618 1.34514i −0.157262 0.987557i \(-0.550267\pi\)
0.933881 0.357585i \(-0.116400\pi\)
\(384\) −2059.08 1707.41i −0.273637 0.226904i
\(385\) 5795.47 4109.16i 0.767180 0.543953i
\(386\) 2354.91 0.310522
\(387\) −8816.11 3092.87i −1.15800 0.406252i
\(388\) −5726.61 + 9918.78i −0.749290 + 1.29781i
\(389\) 2991.28 + 5181.06i 0.389882 + 0.675296i 0.992433 0.122785i \(-0.0391824\pi\)
−0.602551 + 0.798080i \(0.705849\pi\)
\(390\) −1139.11 944.566i −0.147900 0.122641i
\(391\) −1143.43 1980.48i −0.147892 0.256156i
\(392\) −460.447 + 1313.03i −0.0593267 + 0.169179i
\(393\) 2520.63 934.110i 0.323534 0.119897i
\(394\) 9461.61 1.20982
\(395\) 6527.84 11306.5i 0.831522 1.44024i
\(396\) −4088.42 + 3512.63i −0.518815 + 0.445748i
\(397\) −4543.74 7869.98i −0.574417 0.994920i −0.996105 0.0881786i \(-0.971895\pi\)
0.421687 0.906741i \(-0.361438\pi\)
\(398\) 5009.47 8676.65i 0.630909 1.09277i
\(399\) −2640.60 5493.68i −0.331317 0.689294i
\(400\) 1903.07 + 3296.22i 0.237884 + 0.412028i
\(401\) 4173.68 7229.03i 0.519760 0.900250i −0.479976 0.877281i \(-0.659355\pi\)
0.999736 0.0229689i \(-0.00731186\pi\)
\(402\) 9090.41 + 7537.88i 1.12783 + 0.935213i
\(403\) 256.233 + 443.809i 0.0316722 + 0.0548578i
\(404\) −3268.73 5661.61i −0.402538 0.697217i
\(405\) −1466.71 + 9625.56i −0.179954 + 1.18098i
\(406\) −1575.15 16858.9i −0.192546 2.06082i
\(407\) −5823.23 + 10086.1i −0.709206 + 1.22838i
\(408\) −335.223 + 124.229i −0.0406765 + 0.0150742i
\(409\) 11706.6 1.41530 0.707648 0.706565i \(-0.249756\pi\)
0.707648 + 0.706565i \(0.249756\pi\)
\(410\) −17147.1 −2.06546
\(411\) −1094.42 + 6425.57i −0.131347 + 0.771168i
\(412\) −348.276 + 603.231i −0.0416464 + 0.0721337i
\(413\) −2079.75 + 1474.60i −0.247791 + 0.175691i
\(414\) −13283.1 4660.00i −1.57688 0.553204i
\(415\) 6781.05 + 11745.1i 0.802093 + 1.38927i
\(416\) −670.581 1161.48i −0.0790336 0.136890i
\(417\) −663.746 + 3897.01i −0.0779467 + 0.457644i
\(418\) −3516.99 + 6091.61i −0.411535 + 0.712800i
\(419\) −52.3192 90.6195i −0.00610015 0.0105658i 0.862959 0.505274i \(-0.168608\pi\)
−0.869059 + 0.494708i \(0.835275\pi\)
\(420\) −5038.23 + 7377.96i −0.585334 + 0.857161i
\(421\) −5909.85 + 10236.2i −0.684153 + 1.18499i 0.289550 + 0.957163i \(0.406494\pi\)
−0.973702 + 0.227824i \(0.926839\pi\)
\(422\) 545.042 + 944.040i 0.0628726 + 0.108898i
\(423\) −1524.24 8091.52i −0.175203 0.930079i
\(424\) −1347.10 + 2333.25i −0.154295 + 0.267247i
\(425\) 905.469 0.103345
\(426\) 1885.37 + 1563.37i 0.214428 + 0.177807i
\(427\) −9374.78 + 6646.99i −1.06248 + 0.753327i
\(428\) 1614.06 + 2795.64i 0.182287 + 0.315729i
\(429\) 771.682 285.975i 0.0868466 0.0321842i
\(430\) 8935.18 + 15476.2i 1.00208 + 1.73565i
\(431\) −3058.30 + 5297.12i −0.341793 + 0.592003i −0.984766 0.173886i \(-0.944368\pi\)
0.642972 + 0.765889i \(0.277701\pi\)
\(432\) −4848.77 + 8748.17i −0.540015 + 0.974297i
\(433\) −8659.36 −0.961068 −0.480534 0.876976i \(-0.659557\pi\)
−0.480534 + 0.876976i \(0.659557\pi\)
\(434\) 5428.80 3849.18i 0.600439 0.425729i
\(435\) −2755.25 + 16176.7i −0.303687 + 1.78302i
\(436\) −1581.27 + 2738.83i −0.173690 + 0.300840i
\(437\) −8540.39 −0.934879
\(438\) −5411.61 + 2005.47i −0.590358 + 0.218779i
\(439\) 14430.5 1.56886 0.784429 0.620219i \(-0.212956\pi\)
0.784429 + 0.620219i \(0.212956\pi\)
\(440\) −1556.13 −0.168604
\(441\) 9155.50 + 1393.86i 0.988609 + 0.150509i
\(442\) −361.632 −0.0389165
\(443\) −1747.73 −0.187443 −0.0937216 0.995598i \(-0.529876\pi\)
−0.0937216 + 0.995598i \(0.529876\pi\)
\(444\) 2459.10 14438.0i 0.262847 1.54323i
\(445\) −6912.66 −0.736386
\(446\) −3107.90 + 5383.03i −0.329962 + 0.571511i
\(447\) 12486.9 4627.47i 1.32127 0.489646i
\(448\) −5590.87 + 3964.09i −0.589607 + 0.418049i
\(449\) 6876.18 0.722733 0.361367 0.932424i \(-0.382310\pi\)
0.361367 + 0.932424i \(0.382310\pi\)
\(450\) 4227.60 3632.21i 0.442868 0.380498i
\(451\) 4768.09 8258.57i 0.497828 0.862264i
\(452\) −3079.71 5334.21i −0.320481 0.555089i
\(453\) 81.5603 478.860i 0.00845924 0.0496662i
\(454\) 8097.78 + 14025.8i 0.837109 + 1.44992i
\(455\) 1112.74 788.964i 0.114650 0.0812905i
\(456\) −224.170 + 1316.16i −0.0230213 + 0.135164i
\(457\) −2719.49 −0.278365 −0.139182 0.990267i \(-0.544447\pi\)
−0.139182 + 0.990267i \(0.544447\pi\)
\(458\) 5239.88 9075.74i 0.534593 0.925942i
\(459\) 1225.58 + 2039.54i 0.124630 + 0.207402i
\(460\) 6258.92 + 10840.8i 0.634399 + 1.09881i
\(461\) 1231.59 2133.18i 0.124427 0.215514i −0.797082 0.603871i \(-0.793624\pi\)
0.921509 + 0.388357i \(0.126957\pi\)
\(462\) −4629.82 9632.19i −0.466231 0.969979i
\(463\) −488.238 845.653i −0.0490072 0.0848830i 0.840481 0.541841i \(-0.182272\pi\)
−0.889488 + 0.456958i \(0.848939\pi\)
\(464\) −8428.47 + 14598.5i −0.843280 + 1.46060i
\(465\) −6047.60 + 2241.16i −0.603120 + 0.223508i
\(466\) −5881.08 10186.3i −0.584626 1.01260i
\(467\) −5486.73 9503.29i −0.543673 0.941670i −0.998689 0.0511862i \(-0.983700\pi\)
0.455016 0.890483i \(-0.349634\pi\)
\(468\) −784.981 + 674.430i −0.0775337 + 0.0666143i
\(469\) −8879.94 + 6296.14i −0.874280 + 0.619890i
\(470\) −7874.52 + 13639.1i −0.772818 + 1.33856i
\(471\) −11289.6 9361.50i −1.10445 0.915828i
\(472\) 558.430 0.0544573
\(473\) −9938.38 −0.966104
\(474\) −15118.1 12536.1i −1.46498 1.21478i
\(475\) 1690.76 2928.48i 0.163321 0.282880i
\(476\) 203.107 + 2173.85i 0.0195575 + 0.209324i
\(477\) 16921.0 + 5936.23i 1.62423 + 0.569814i
\(478\) −2698.35 4673.68i −0.258200 0.447216i
\(479\) 489.544 + 847.916i 0.0466970 + 0.0808815i 0.888429 0.459014i \(-0.151797\pi\)
−0.841732 + 0.539895i \(0.818464\pi\)
\(480\) 15827.0 5865.29i 1.50500 0.557734i
\(481\) −1118.07 + 1936.55i −0.105986 + 0.183574i
\(482\) −7631.10 13217.4i −0.721135 1.24904i
\(483\) 7317.52 10715.8i 0.689356 1.00949i
\(484\) 1758.95 3046.59i 0.165190 0.286118i
\(485\) 11003.8 + 19059.1i 1.03022 + 1.78439i
\(486\) 13903.6 + 4606.22i 1.29770 + 0.429923i
\(487\) 4370.44 7569.83i 0.406660 0.704357i −0.587853 0.808968i \(-0.700027\pi\)
0.994513 + 0.104611i \(0.0333599\pi\)
\(488\) 2517.20 0.233501
\(489\) 1741.95 10227.4i 0.161091 0.945804i
\(490\) −11545.4 13434.3i −1.06442 1.23857i
\(491\) −6965.56 12064.7i −0.640226 1.10890i −0.985382 0.170359i \(-0.945507\pi\)
0.345156 0.938545i \(-0.387826\pi\)
\(492\) −2013.53 + 11821.9i −0.184506 + 1.08328i
\(493\) 2005.10 + 3472.94i 0.183175 + 0.317268i
\(494\) −675.267 + 1169.60i −0.0615014 + 0.106524i
\(495\) 1917.32 + 10178.2i 0.174096 + 0.924198i
\(496\) −6625.31 −0.599769
\(497\) −1841.72 + 1305.83i −0.166222 + 0.117856i
\(498\) 19130.0 7089.33i 1.72136 0.637913i
\(499\) 4214.20 7299.21i 0.378063 0.654825i −0.612717 0.790302i \(-0.709923\pi\)
0.990780 + 0.135477i \(0.0432568\pi\)
\(500\) 6648.26 0.594639
\(501\) −2708.04 + 15899.5i −0.241489 + 1.41784i
\(502\) 194.552 0.0172973
\(503\) 2009.66 0.178144 0.0890719 0.996025i \(-0.471610\pi\)
0.0890719 + 0.996025i \(0.471610\pi\)
\(504\) −1459.33 1408.97i −0.128975 0.124525i
\(505\) −12561.8 −1.10692
\(506\) −14974.1 −1.31557
\(507\) −10556.4 + 3912.05i −0.924704 + 0.342683i
\(508\) −1569.14 −0.137046
\(509\) −5865.50 + 10159.3i −0.510773 + 0.884685i 0.489149 + 0.872200i \(0.337307\pi\)
−0.999922 + 0.0124847i \(0.996026\pi\)
\(510\) 764.169 4486.62i 0.0663490 0.389551i
\(511\) −494.892 5296.82i −0.0428429 0.458547i
\(512\) 15025.3 1.29693
\(513\) 8884.83 155.411i 0.764668 0.0133754i
\(514\) −4487.09 + 7771.87i −0.385053 + 0.666931i
\(515\) 669.217 + 1159.12i 0.0572606 + 0.0991784i
\(516\) 11719.1 4342.94i 0.999815 0.370518i
\(517\) −4379.32 7585.20i −0.372538 0.645255i
\(518\) 26389.8 + 12116.9i 2.23842 + 1.02777i
\(519\) −1281.55 1062.68i −0.108389 0.0898772i
\(520\) −298.779 −0.0251968
\(521\) −4418.73 + 7653.46i −0.371570 + 0.643578i −0.989807 0.142413i \(-0.954514\pi\)
0.618237 + 0.785992i \(0.287847\pi\)
\(522\) 23293.1 + 8171.71i 1.95309 + 0.685184i
\(523\) 5711.81 + 9893.14i 0.477552 + 0.827145i 0.999669 0.0257292i \(-0.00819077\pi\)
−0.522117 + 0.852874i \(0.674857\pi\)
\(524\) −1797.96 + 3114.15i −0.149893 + 0.259623i
\(525\) 2225.74 + 4630.59i 0.185027 + 0.384944i
\(526\) −6581.62 11399.7i −0.545575 0.944963i
\(527\) −788.069 + 1364.98i −0.0651401 + 0.112826i
\(528\) −1786.42 + 10488.5i −0.147243 + 0.864496i
\(529\) −3006.96 5208.21i −0.247141 0.428060i
\(530\) −17149.5 29703.8i −1.40552 2.43444i
\(531\) −688.047 3652.54i −0.0562311 0.298506i
\(532\) 7409.96 + 3402.29i 0.603877 + 0.277270i
\(533\) 915.479 1585.66i 0.0743974 0.128860i
\(534\) −1745.98 + 10251.0i −0.141490 + 0.830723i
\(535\) 6202.89 0.501260
\(536\) 2384.34 0.192141
\(537\) −10247.9 + 3797.74i −0.823520 + 0.305186i
\(538\) −12144.9 + 21035.6i −0.973241 + 1.68570i
\(539\) 9680.77 1824.92i 0.773618 0.145834i
\(540\) −6708.61 11164.1i −0.534616 0.889677i
\(541\) −3532.39 6118.28i −0.280719 0.486220i 0.690843 0.723005i \(-0.257240\pi\)
−0.971562 + 0.236785i \(0.923906\pi\)
\(542\) 6976.20 + 12083.1i 0.552866 + 0.957593i
\(543\) −8990.59 7455.12i −0.710540 0.589189i
\(544\) 2062.43 3572.24i 0.162548 0.281542i
\(545\) 3038.43 + 5262.71i 0.238811 + 0.413633i
\(546\) −888.932 1849.39i −0.0696754 0.144957i
\(547\) 5320.04 9214.58i 0.415847 0.720269i −0.579670 0.814852i \(-0.696818\pi\)
0.995517 + 0.0945828i \(0.0301517\pi\)
\(548\) −4359.62 7551.08i −0.339842 0.588624i
\(549\) −3101.47 16464.4i −0.241107 1.27993i
\(550\) 2964.45 5134.57i 0.229826 0.398071i
\(551\) 14976.3 1.15792
\(552\) −2665.08 + 987.644i −0.205495 + 0.0761539i
\(553\) 14768.1 10471.0i 1.13563 0.805195i
\(554\) −4071.72 7052.42i −0.312258 0.540846i
\(555\) −21663.4 17963.5i −1.65686 1.37389i
\(556\) −2644.04 4579.61i −0.201677 0.349314i
\(557\) 3260.15 5646.75i 0.248002 0.429552i −0.714969 0.699156i \(-0.753559\pi\)
0.962971 + 0.269604i \(0.0868927\pi\)
\(558\) 1796.02 + 9534.28i 0.136257 + 0.723330i
\(559\) −1908.18 −0.144378
\(560\) 1640.52 + 17558.4i 0.123794 + 1.32496i
\(561\) 1948.40 + 1615.64i 0.146633 + 0.121590i
\(562\) 3758.38 6509.71i 0.282096 0.488604i
\(563\) 15770.2 1.18052 0.590262 0.807212i \(-0.299024\pi\)
0.590262 + 0.807212i \(0.299024\pi\)
\(564\) 8478.62 + 7030.58i 0.633004 + 0.524895i
\(565\) −11835.4 −0.881274
\(566\) −35733.5 −2.65369
\(567\) −7417.65 + 11281.1i −0.549404 + 0.835557i
\(568\) 494.516 0.0365307
\(569\) 12175.2 0.897029 0.448514 0.893776i \(-0.351953\pi\)
0.448514 + 0.893776i \(0.351953\pi\)
\(570\) −13083.8 10849.2i −0.961438 0.797237i
\(571\) 16568.3 1.21429 0.607147 0.794590i \(-0.292314\pi\)
0.607147 + 0.794590i \(0.292314\pi\)
\(572\) −550.439 + 953.389i −0.0402361 + 0.0696909i
\(573\) −566.885 470.068i −0.0413298 0.0342712i
\(574\) −21608.1 9921.37i −1.57126 0.721446i
\(575\) 7198.64 0.522094
\(576\) −1849.64 9818.92i −0.133799 0.710281i
\(577\) −351.578 + 608.951i −0.0253664 + 0.0439358i −0.878430 0.477871i \(-0.841409\pi\)
0.853064 + 0.521807i \(0.174742\pi\)
\(578\) 8942.27 + 15488.5i 0.643511 + 1.11459i
\(579\) −2436.06 2020.02i −0.174852 0.144990i
\(580\) −10975.6 19010.2i −0.785750 1.36096i
\(581\) 1749.44 + 18724.2i 0.124921 + 1.33703i
\(582\) 31042.7 11504.0i 2.21093 0.819342i
\(583\) 19075.0 1.35507
\(584\) −582.627 + 1009.14i −0.0412830 + 0.0715043i
\(585\) 368.129 + 1954.24i 0.0260175 + 0.138116i
\(586\) 11907.0 + 20623.5i 0.839374 + 1.45384i
\(587\) −548.955 + 950.819i −0.0385993 + 0.0668560i −0.884680 0.466199i \(-0.845623\pi\)
0.846080 + 0.533055i \(0.178956\pi\)
\(588\) −10617.9 + 6382.26i −0.744682 + 0.447619i
\(589\) 2943.09 + 5097.57i 0.205887 + 0.356608i
\(590\) −3554.59 + 6156.73i −0.248034 + 0.429608i
\(591\) −9787.68 8116.07i −0.681237 0.564891i
\(592\) −14454.7 25036.3i −1.00352 1.73815i
\(593\) −5626.37 9745.16i −0.389625 0.674850i 0.602774 0.797912i \(-0.294062\pi\)
−0.992399 + 0.123062i \(0.960729\pi\)
\(594\) 15578.0 272.486i 1.07605 0.0188219i
\(595\) 3812.60 + 1750.56i 0.262691 + 0.120615i
\(596\) −8906.86 + 15427.1i −0.612146 + 1.06027i
\(597\) −12624.8 + 4678.60i −0.865495 + 0.320741i
\(598\) −2875.04 −0.196604
\(599\) 11640.5 0.794023 0.397012 0.917814i \(-0.370047\pi\)
0.397012 + 0.917814i \(0.370047\pi\)
\(600\) 188.951 1109.38i 0.0128565 0.0754836i
\(601\) 970.960 1681.75i 0.0659007 0.114143i −0.831192 0.555985i \(-0.812341\pi\)
0.897093 + 0.441841i \(0.145675\pi\)
\(602\) 2305.18 + 24672.3i 0.156067 + 1.67038i
\(603\) −2937.76 15595.3i −0.198400 1.05322i
\(604\) 324.896 + 562.737i 0.0218872 + 0.0379097i
\(605\) −3379.84 5854.06i −0.227124 0.393391i
\(606\) −3172.82 + 18628.4i −0.212685 + 1.24872i
\(607\) 6455.68 11181.6i 0.431677 0.747687i −0.565341 0.824857i \(-0.691255\pi\)
0.997018 + 0.0771708i \(0.0245887\pi\)
\(608\) −7702.27 13340.7i −0.513764 0.889865i
\(609\) −12831.9 + 18791.0i −0.853818 + 1.25033i
\(610\) −16022.8 + 27752.3i −1.06352 + 1.84206i
\(611\) −840.835 1456.37i −0.0556736 0.0964294i
\(612\) −3003.51 1053.69i −0.198382 0.0695965i
\(613\) 9637.25 16692.2i 0.634984 1.09982i −0.351535 0.936175i \(-0.614340\pi\)
0.986519 0.163649i \(-0.0523265\pi\)
\(614\) 15298.5 1.00553
\(615\) 17738.1 + 14708.6i 1.16304 + 0.964406i
\(616\) −1960.97 900.380i −0.128263 0.0588918i
\(617\) −779.062 1349.38i −0.0508329 0.0880451i 0.839489 0.543376i \(-0.182854\pi\)
−0.890322 + 0.455331i \(0.849521\pi\)
\(618\) 1887.93 699.641i 0.122886 0.0455399i
\(619\) −3522.77 6101.62i −0.228743 0.396195i 0.728693 0.684841i \(-0.240128\pi\)
−0.957436 + 0.288646i \(0.906795\pi\)
\(620\) 4313.74 7471.62i 0.279426 0.483980i
\(621\) 9743.60 + 16214.7i 0.629625 + 1.04779i
\(622\) 21488.5 1.38523
\(623\) −8711.04 3999.68i −0.560193 0.257213i
\(624\) −342.995 + 2013.81i −0.0220045 + 0.129194i
\(625\) 9724.11 16842.7i 0.622343 1.07793i
\(626\) −20680.9 −1.32041
\(627\) 8863.51 3284.70i 0.564553 0.209216i
\(628\) 19618.7 1.24661
\(629\) −6877.44 −0.435964
\(630\) 24823.1 7120.63i 1.56980 0.450306i
\(631\) −29049.6 −1.83272 −0.916361 0.400354i \(-0.868887\pi\)
−0.916361 + 0.400354i \(0.868887\pi\)
\(632\) −3965.35 −0.249578
\(633\) 245.963 1444.11i 0.0154441 0.0906762i
\(634\) −24816.5 −1.55456
\(635\) −1507.56 + 2611.17i −0.0942138 + 0.163183i
\(636\) −22492.7 + 8335.51i −1.40235 + 0.519692i
\(637\) 1858.72 350.386i 0.115613 0.0217940i
\(638\) 26258.3 1.62943
\(639\) −609.298 3234.50i −0.0377206 0.200242i
\(640\) 3437.77 5954.40i 0.212328 0.367763i
\(641\) −10141.5 17565.6i −0.624908 1.08237i −0.988559 0.150836i \(-0.951803\pi\)
0.363651 0.931535i \(-0.381530\pi\)
\(642\) 1566.70 9198.49i 0.0963129 0.565476i
\(643\) 12393.5 + 21466.2i 0.760111 + 1.31655i 0.942793 + 0.333379i \(0.108189\pi\)
−0.182682 + 0.983172i \(0.558478\pi\)
\(644\) 1614.74 + 17282.5i 0.0988036 + 1.05749i
\(645\) 4032.21 23674.0i 0.246152 1.44522i
\(646\) −4153.69 −0.252980
\(647\) −5412.76 + 9375.17i −0.328899 + 0.569669i −0.982294 0.187348i \(-0.940011\pi\)
0.653395 + 0.757017i \(0.273344\pi\)
\(648\) 2754.60 1075.97i 0.166992 0.0652288i
\(649\) −1976.84 3423.99i −0.119565 0.207093i
\(650\) 569.178 985.845i 0.0343461 0.0594893i
\(651\) −8917.67 674.939i −0.536884 0.0406343i
\(652\) 6939.06 + 12018.8i 0.416802 + 0.721922i
\(653\) 5666.71 9815.03i 0.339595 0.588196i −0.644761 0.764384i \(-0.723043\pi\)
0.984357 + 0.176188i \(0.0563766\pi\)
\(654\) 8571.71 3176.56i 0.512508 0.189929i
\(655\) 3454.80 + 5983.89i 0.206092 + 0.356962i
\(656\) 11835.6 + 20499.8i 0.704423 + 1.22010i
\(657\) 7318.38 + 2567.44i 0.434577 + 0.152459i
\(658\) −17814.7 + 12631.2i −1.05546 + 0.748349i
\(659\) 1455.83 2521.57i 0.0860563 0.149054i −0.819785 0.572672i \(-0.805907\pi\)
0.905841 + 0.423618i \(0.139240\pi\)
\(660\) −10665.2 8843.69i −0.629001 0.521576i
\(661\) −26754.1 −1.57430 −0.787152 0.616759i \(-0.788445\pi\)
−0.787152 + 0.616759i \(0.788445\pi\)
\(662\) −12610.9 −0.740387
\(663\) 374.095 + 310.204i 0.0219135 + 0.0181709i
\(664\) 2059.58 3567.31i 0.120373 0.208491i
\(665\) 12780.9 9062.01i 0.745294 0.528435i
\(666\) −32110.5 + 27588.2i −1.86825 + 1.60514i
\(667\) 15940.9 + 27610.5i 0.925389 + 1.60282i
\(668\) −10787.5 18684.5i −0.624822 1.08222i
\(669\) 7832.51 2902.63i 0.452649 0.167746i
\(670\) −15177.1 + 26287.5i −0.875137 + 1.51578i
\(671\) −8910.90 15434.1i −0.512670 0.887970i
\(672\) 23338.2 + 1766.37i 1.33972 + 0.101397i
\(673\) −6830.55 + 11830.9i −0.391231 + 0.677631i −0.992612 0.121331i \(-0.961284\pi\)
0.601382 + 0.798962i \(0.294617\pi\)
\(674\) 3469.80 + 6009.88i 0.198296 + 0.343460i
\(675\) −7488.96 + 130.995i −0.427037 + 0.00746963i
\(676\) 7529.84 13042.1i 0.428416 0.742038i
\(677\) −8825.29 −0.501009 −0.250505 0.968115i \(-0.580597\pi\)
−0.250505 + 0.968115i \(0.580597\pi\)
\(678\) −2989.35 + 17551.2i −0.169329 + 0.994172i
\(679\) 2838.86 + 30384.3i 0.160450 + 1.71729i
\(680\) −459.461 795.810i −0.0259111 0.0448793i
\(681\) 3654.31 21455.3i 0.205629 1.20730i
\(682\) 5160.18 + 8937.69i 0.289726 + 0.501821i
\(683\) 7312.23 12665.2i 0.409655 0.709544i −0.585196 0.810892i \(-0.698982\pi\)
0.994851 + 0.101348i \(0.0323156\pi\)
\(684\) −9016.26 + 7746.47i −0.504014 + 0.433032i
\(685\) −16754.1 −0.934515
\(686\) −6775.84 23609.5i −0.377118 1.31402i
\(687\) −13205.5 + 4893.79i −0.733366 + 0.271776i
\(688\) 12334.8 21364.4i 0.683515 1.18388i
\(689\) 3662.42 0.202507
\(690\) 6075.28 35669.4i 0.335191 1.96799i
\(691\) −4571.67 −0.251685 −0.125843 0.992050i \(-0.540163\pi\)
−0.125843 + 0.992050i \(0.540163\pi\)
\(692\) 2227.03 0.122339
\(693\) −3473.02 + 13935.6i −0.190374 + 0.763879i
\(694\) 7216.15 0.394699
\(695\) −10161.1 −0.554581
\(696\) 4673.46 1731.92i 0.254521 0.0943222i
\(697\) 5631.28 0.306026
\(698\) 8881.50 15383.2i 0.481618 0.834188i
\(699\) −2653.97 + 15582.1i −0.143609 + 0.843161i
\(700\) −6245.81 2867.77i −0.337242 0.154845i
\(701\) −1521.50 −0.0819773 −0.0409886 0.999160i \(-0.513051\pi\)
−0.0409886 + 0.999160i \(0.513051\pi\)
\(702\) 2990.99 52.3176i 0.160809 0.00281282i
\(703\) −12842.1 + 22243.1i −0.688973 + 1.19334i
\(704\) −5314.23 9204.51i −0.284499 0.492767i
\(705\) 19845.3 7354.42i 1.06017 0.392884i
\(706\) 11904.9 + 20619.8i 0.634625 + 1.09920i
\(707\) −15829.9 7268.30i −0.842071 0.386637i
\(708\) 3827.28 + 3173.63i 0.203161 + 0.168464i
\(709\) 11662.4 0.617758 0.308879 0.951101i \(-0.400046\pi\)
0.308879 + 0.951101i \(0.400046\pi\)
\(710\) −3147.75 + 5452.07i −0.166385 + 0.288187i
\(711\) 4885.75 + 25936.3i 0.257707 + 1.36806i
\(712\) 1049.78 + 1818.27i 0.0552558 + 0.0957058i
\(713\) −6265.29 + 10851.8i −0.329084 + 0.569990i
\(714\) 3558.94 5211.69i 0.186541 0.273169i
\(715\) 1057.68 + 1831.95i 0.0553216 + 0.0958197i
\(716\) 7309.82 12661.0i 0.381537 0.660842i
\(717\) −1217.69 + 7149.37i −0.0634248 + 0.372382i
\(718\) 7071.31 + 12247.9i 0.367547 + 0.636611i
\(719\) −6176.82 10698.6i −0.320384 0.554922i 0.660183 0.751105i \(-0.270479\pi\)
−0.980567 + 0.196183i \(0.937145\pi\)
\(720\) −24259.7 8510.80i −1.25570 0.440526i
\(721\) 172.651 + 1847.88i 0.00891798 + 0.0954490i
\(722\) 5504.53 9534.13i 0.283736 0.491445i
\(723\) −3443.71 + 20218.8i −0.177141 + 1.04004i
\(724\) 15623.5 0.801995
\(725\) −12623.4 −0.646652
\(726\) −9534.87 + 3533.50i −0.487427 + 0.180634i
\(727\) −5157.33 + 8932.76i −0.263102 + 0.455705i −0.967064 0.254531i \(-0.918079\pi\)
0.703963 + 0.710237i \(0.251412\pi\)
\(728\) −376.509 172.874i −0.0191681 0.00880102i
\(729\) −10431.6 16691.4i −0.529981 0.848009i
\(730\) −7417.22 12847.0i −0.376060 0.651355i
\(731\) −2934.40 5082.52i −0.148471 0.257160i
\(732\) 17252.0 + 14305.6i 0.871110 + 0.722336i
\(733\) −5418.34 + 9384.84i −0.273030 + 0.472902i −0.969636 0.244552i \(-0.921359\pi\)
0.696606 + 0.717454i \(0.254692\pi\)
\(734\) −13695.4 23721.1i −0.688699 1.19286i
\(735\) 419.410 + 23800.8i 0.0210479 + 1.19443i
\(736\) 16396.7 28399.9i 0.821184 1.42233i
\(737\) −8440.55 14619.5i −0.421861 0.730685i
\(738\) 26292.2 22589.4i 1.31142 1.12673i
\(739\) 6152.50 10656.4i 0.306256 0.530451i −0.671284 0.741200i \(-0.734257\pi\)
0.977540 + 0.210749i \(0.0675902\pi\)
\(740\) 37645.8 1.87012
\(741\) 1701.81 630.667i 0.0843690 0.0312660i
\(742\) −4424.39 47354.2i −0.218901 2.34289i
\(743\) 10676.9 + 18492.9i 0.527182 + 0.913105i 0.999498 + 0.0316764i \(0.0100846\pi\)
−0.472316 + 0.881429i \(0.656582\pi\)
\(744\) 1507.91 + 1250.38i 0.0743048 + 0.0616145i
\(745\) 17114.7 + 29643.5i 0.841655 + 1.45779i
\(746\) −25601.4 + 44342.9i −1.25648 + 2.17629i
\(747\) −25870.4 9075.89i −1.26714 0.444537i
\(748\) −3385.85 −0.165507
\(749\) 7816.62 + 3589.00i 0.381326 + 0.175086i
\(750\) −14792.8 12266.4i −0.720209 0.597207i
\(751\) −5214.18 + 9031.22i −0.253353 + 0.438820i −0.964447 0.264277i \(-0.914867\pi\)
0.711094 + 0.703097i \(0.248200\pi\)
\(752\) 21741.1 1.05428
\(753\) −201.256 166.884i −0.00973996 0.00807650i
\(754\) 5041.63 0.243508
\(755\) 1248.59 0.0601864
\(756\) −1994.35 17950.1i −0.0959443 0.863544i
\(757\) 38937.7 1.86950 0.934751 0.355303i \(-0.115622\pi\)
0.934751 + 0.355303i \(0.115622\pi\)
\(758\) −7407.43 −0.354947
\(759\) 15490.1 + 12844.6i 0.740784 + 0.614268i
\(760\) −3431.77 −0.163794
\(761\) −711.985 + 1233.19i −0.0339152 + 0.0587428i −0.882485 0.470341i \(-0.844131\pi\)
0.848570 + 0.529084i \(0.177464\pi\)
\(762\) 3491.43 + 2895.14i 0.165986 + 0.137638i
\(763\) 783.883 + 8389.89i 0.0371933 + 0.398079i
\(764\) 985.112 0.0466494
\(765\) −4639.08 + 3985.74i −0.219250 + 0.188372i
\(766\) 22508.1 38985.2i 1.06168 1.83889i
\(767\) −379.556 657.411i −0.0178683 0.0309488i
\(768\) −19803.3 16421.1i −0.930455 0.771545i
\(769\) 7436.72 + 12880.8i 0.348732 + 0.604022i 0.986025 0.166600i \(-0.0532790\pi\)
−0.637292 + 0.770622i \(0.719946\pi\)
\(770\) 22409.0 15888.6i 1.04878 0.743618i
\(771\) 11308.4 4190.73i 0.528224 0.195753i
\(772\) 4233.30 0.197357
\(773\) −13639.2 + 23623.8i −0.634630 + 1.09921i 0.351964 + 0.936014i \(0.385514\pi\)