Properties

Label 177.4.f.a.2.18
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.18
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142776 + 2.63336i) q^{2} +(0.601836 - 5.16118i) q^{3} +(1.03892 + 0.112990i) q^{4} +(-5.43994 + 16.1452i) q^{5} +(13.5053 + 2.32174i) q^{6} +(-11.5153 - 16.9838i) q^{7} +(-3.85912 + 23.5396i) q^{8} +(-26.2756 - 6.21237i) q^{9} +O(q^{10})\) \(q+(-0.142776 + 2.63336i) q^{2} +(0.601836 - 5.16118i) q^{3} +(1.03892 + 0.112990i) q^{4} +(-5.43994 + 16.1452i) q^{5} +(13.5053 + 2.32174i) q^{6} +(-11.5153 - 16.9838i) q^{7} +(-3.85912 + 23.5396i) q^{8} +(-26.2756 - 6.21237i) q^{9} +(-41.7393 - 16.6305i) q^{10} +(6.66264 - 1.46656i) q^{11} +(1.20842 - 5.29408i) q^{12} +(-30.7242 + 26.0973i) q^{13} +(46.3685 - 27.8990i) q^{14} +(80.0542 + 37.7933i) q^{15} +(-53.2722 - 11.7261i) q^{16} +(-16.3466 - 11.0833i) q^{17} +(20.1109 - 68.3060i) q^{18} +(-15.8766 + 29.9464i) q^{19} +(-7.47593 + 16.1590i) q^{20} +(-94.5869 + 49.2111i) q^{21} +(2.91070 + 17.7545i) q^{22} +(-83.1149 + 78.7306i) q^{23} +(119.170 + 34.0846i) q^{24} +(-131.562 - 100.011i) q^{25} +(-64.3369 - 84.6337i) q^{26} +(-47.8767 + 131.874i) q^{27} +(-10.0445 - 18.9460i) q^{28} +(-224.319 + 12.1622i) q^{29} +(-110.953 + 205.415i) q^{30} +(-30.4126 + 16.1237i) q^{31} +(-12.5676 + 45.2644i) q^{32} +(-3.55936 - 35.2697i) q^{33} +(31.5202 - 41.4641i) q^{34} +(336.849 - 93.5257i) q^{35} +(-26.5964 - 9.42305i) q^{36} +(225.272 - 36.9314i) q^{37} +(-76.5927 - 46.0843i) q^{38} +(116.202 + 174.279i) q^{39} +(-359.057 - 190.360i) q^{40} +(177.296 - 187.169i) q^{41} +(-116.086 - 256.107i) q^{42} +(-35.3679 + 160.678i) q^{43} +(7.08769 - 0.770833i) q^{44} +(243.237 - 390.429i) q^{45} +(-195.459 - 230.112i) q^{46} +(-281.620 + 94.8888i) q^{47} +(-92.5816 + 267.890i) q^{48} +(-28.8901 + 72.5088i) q^{49} +(282.148 - 332.170i) q^{50} +(-67.0408 + 77.6976i) q^{51} +(-34.8688 + 23.6416i) q^{52} +(247.677 - 98.6835i) q^{53} +(-340.436 - 144.905i) q^{54} +(-12.5665 + 115.547i) q^{55} +(444.231 - 205.523i) q^{56} +(145.004 + 99.9646i) q^{57} -592.447i q^{58} +(-404.960 - 203.437i) q^{59} +(78.9000 + 48.3097i) q^{60} +(95.3110 + 5.16761i) q^{61} +(-38.1173 - 82.3892i) q^{62} +(197.062 + 517.797i) q^{63} +(-530.940 - 178.894i) q^{64} +(-254.208 - 638.015i) q^{65} +(93.3860 - 4.33737i) q^{66} +(833.335 + 136.618i) q^{67} +(-15.7306 - 13.3617i) q^{68} +(356.321 + 476.354i) q^{69} +(198.192 + 900.397i) q^{70} +(359.724 + 1067.62i) q^{71} +(247.637 - 594.542i) q^{72} +(497.413 + 826.707i) q^{73} +(65.0900 + 598.493i) q^{74} +(-595.352 + 618.825i) q^{75} +(-19.8782 + 29.3181i) q^{76} +(-101.630 - 96.2692i) q^{77} +(-475.530 + 281.119i) q^{78} +(54.3417 + 25.1411i) q^{79} +(479.117 - 796.299i) q^{80} +(651.813 + 326.467i) q^{81} +(467.568 + 493.606i) q^{82} +(52.1750 + 187.917i) q^{83} +(-103.829 + 40.4393i) q^{84} +(267.866 - 203.627i) q^{85} +(-418.073 - 116.077i) q^{86} +(-72.2316 + 1165.07i) q^{87} +(8.81025 + 162.495i) q^{88} +(-42.5732 - 785.216i) q^{89} +(993.410 + 696.275i) q^{90} +(797.030 + 221.294i) q^{91} +(-95.2458 + 72.4040i) q^{92} +(64.9141 + 166.669i) q^{93} +(-209.667 - 755.154i) q^{94} +(-397.122 - 419.236i) q^{95} +(226.054 + 92.1054i) q^{96} +(76.9582 - 127.905i) q^{97} +(-186.817 - 86.4305i) q^{98} +(-184.176 - 2.85609i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142776 + 2.63336i −0.0504791 + 0.931032i 0.858143 + 0.513412i \(0.171619\pi\)
−0.908622 + 0.417620i \(0.862864\pi\)
\(3\) 0.601836 5.16118i 0.115823 0.993270i
\(4\) 1.03892 + 0.112990i 0.129866 + 0.0141237i
\(5\) −5.43994 + 16.1452i −0.486563 + 1.44407i 0.370488 + 0.928837i \(0.379190\pi\)
−0.857051 + 0.515231i \(0.827706\pi\)
\(6\) 13.5053 + 2.32174i 0.918919 + 0.157975i
\(7\) −11.5153 16.9838i −0.621768 0.917040i 0.378194 0.925726i \(-0.376545\pi\)
−0.999962 + 0.00868670i \(0.997235\pi\)
\(8\) −3.85912 + 23.5396i −0.170551 + 1.04031i
\(9\) −26.2756 6.21237i −0.973170 0.230088i
\(10\) −41.7393 16.6305i −1.31991 0.525901i
\(11\) 6.66264 1.46656i 0.182624 0.0401985i −0.122717 0.992442i \(-0.539161\pi\)
0.305341 + 0.952243i \(0.401230\pi\)
\(12\) 1.20842 5.29408i 0.0290701 0.127356i
\(13\) −30.7242 + 26.0973i −0.655488 + 0.556777i −0.912217 0.409707i \(-0.865631\pi\)
0.256729 + 0.966483i \(0.417355\pi\)
\(14\) 46.3685 27.8990i 0.885180 0.532595i
\(15\) 80.0542 + 37.7933i 1.37799 + 0.650545i
\(16\) −53.2722 11.7261i −0.832378 0.183220i
\(17\) −16.3466 11.0833i −0.233214 0.158123i 0.438983 0.898495i \(-0.355339\pi\)
−0.672197 + 0.740372i \(0.734649\pi\)
\(18\) 20.1109 68.3060i 0.263344 0.894438i
\(19\) −15.8766 + 29.9464i −0.191702 + 0.361588i −0.960667 0.277703i \(-0.910427\pi\)
0.768965 + 0.639291i \(0.220772\pi\)
\(20\) −7.47593 + 16.1590i −0.0835834 + 0.180663i
\(21\) −94.5869 + 49.2111i −0.982883 + 0.511369i
\(22\) 2.91070 + 17.7545i 0.0282074 + 0.172058i
\(23\) −83.1149 + 78.7306i −0.753507 + 0.713759i −0.964603 0.263706i \(-0.915055\pi\)
0.211097 + 0.977465i \(0.432297\pi\)
\(24\) 119.170 + 34.0846i 1.01356 + 0.289895i
\(25\) −131.562 100.011i −1.05250 0.800086i
\(26\) −64.3369 84.6337i −0.485288 0.638386i
\(27\) −47.8767 + 131.874i −0.341255 + 0.939971i
\(28\) −10.0445 18.9460i −0.0677943 0.127874i
\(29\) −224.319 + 12.1622i −1.43638 + 0.0778781i −0.755802 0.654801i \(-0.772753\pi\)
−0.680575 + 0.732679i \(0.738270\pi\)
\(30\) −110.953 + 205.415i −0.675238 + 1.25012i
\(31\) −30.4126 + 16.1237i −0.176202 + 0.0934164i −0.554175 0.832400i \(-0.686966\pi\)
0.377973 + 0.925817i \(0.376621\pi\)
\(32\) −12.5676 + 45.2644i −0.0694268 + 0.250053i
\(33\) −3.55936 35.2697i −0.0187759 0.186051i
\(34\) 31.5202 41.4641i 0.158990 0.209148i
\(35\) 336.849 93.5257i 1.62680 0.451678i
\(36\) −26.5964 9.42305i −0.123132 0.0436252i
\(37\) 225.272 36.9314i 1.00093 0.164094i 0.361032 0.932554i \(-0.382425\pi\)
0.639898 + 0.768459i \(0.278976\pi\)
\(38\) −76.5927 46.0843i −0.326973 0.196733i
\(39\) 116.202 + 174.279i 0.477109 + 0.715564i
\(40\) −359.057 190.360i −1.41930 0.752464i
\(41\) 177.296 187.169i 0.675339 0.712947i −0.294783 0.955564i \(-0.595247\pi\)
0.970122 + 0.242617i \(0.0780059\pi\)
\(42\) −116.086 256.107i −0.426486 0.940909i
\(43\) −35.3679 + 160.678i −0.125432 + 0.569841i 0.871419 + 0.490539i \(0.163200\pi\)
−0.996851 + 0.0793020i \(0.974731\pi\)
\(44\) 7.08769 0.770833i 0.0242843 0.00264108i
\(45\) 243.237 390.429i 0.805771 1.29337i
\(46\) −195.459 230.112i −0.626496 0.737569i
\(47\) −281.620 + 94.8888i −0.874010 + 0.294488i −0.720329 0.693632i \(-0.756009\pi\)
−0.153681 + 0.988121i \(0.549113\pi\)
\(48\) −92.5816 + 267.890i −0.278396 + 0.805555i
\(49\) −28.8901 + 72.5088i −0.0842278 + 0.211396i
\(50\) 282.148 332.170i 0.798035 0.939519i
\(51\) −67.0408 + 77.6976i −0.184070 + 0.213330i
\(52\) −34.8688 + 23.6416i −0.0929891 + 0.0630482i
\(53\) 247.677 98.6835i 0.641907 0.255759i −0.0263925 0.999652i \(-0.508402\pi\)
0.668299 + 0.743893i \(0.267023\pi\)
\(54\) −340.436 144.905i −0.857917 0.365168i
\(55\) −12.5665 + 115.547i −0.0308086 + 0.283280i
\(56\) 444.231 205.523i 1.06005 0.490432i
\(57\) 145.004 + 99.9646i 0.336951 + 0.232292i
\(58\) 592.447i 1.34124i
\(59\) −404.960 203.437i −0.893580 0.448903i
\(60\) 78.9000 + 48.3097i 0.169766 + 0.103946i
\(61\) 95.3110 + 5.16761i 0.200055 + 0.0108466i 0.153894 0.988087i \(-0.450819\pi\)
0.0461607 + 0.998934i \(0.485301\pi\)
\(62\) −38.1173 82.3892i −0.0780791 0.168765i
\(63\) 197.062 + 517.797i 0.394087 + 1.03550i
\(64\) −530.940 178.894i −1.03699 0.349403i
\(65\) −254.208 638.015i −0.485087 1.21748i
\(66\) 93.3860 4.33737i 0.174167 0.00808930i
\(67\) 833.335 + 136.618i 1.51952 + 0.249113i 0.863005 0.505196i \(-0.168580\pi\)
0.656519 + 0.754309i \(0.272028\pi\)
\(68\) −15.7306 13.3617i −0.0280532 0.0238286i
\(69\) 356.321 + 476.354i 0.621682 + 0.831105i
\(70\) 198.192 + 900.397i 0.338407 + 1.53740i
\(71\) 359.724 + 1067.62i 0.601288 + 1.78456i 0.619837 + 0.784730i \(0.287199\pi\)
−0.0185497 + 0.999828i \(0.505905\pi\)
\(72\) 247.637 594.542i 0.405338 0.973159i
\(73\) 497.413 + 826.707i 0.797504 + 1.32546i 0.941883 + 0.335940i \(0.109054\pi\)
−0.144379 + 0.989522i \(0.546118\pi\)
\(74\) 65.0900 + 598.493i 0.102251 + 0.940181i
\(75\) −595.352 + 618.825i −0.916605 + 0.952743i
\(76\) −19.8782 + 29.3181i −0.0300024 + 0.0442503i
\(77\) −101.630 96.2692i −0.150413 0.142479i
\(78\) −475.530 + 281.119i −0.690297 + 0.408082i
\(79\) 54.3417 + 25.1411i 0.0773913 + 0.0358050i 0.458203 0.888848i \(-0.348493\pi\)
−0.380812 + 0.924653i \(0.624355\pi\)
\(80\) 479.117 796.299i 0.669587 1.11286i
\(81\) 651.813 + 326.467i 0.894119 + 0.447829i
\(82\) 467.568 + 493.606i 0.629686 + 0.664751i
\(83\) 52.1750 + 187.917i 0.0689993 + 0.248513i 0.990004 0.141038i \(-0.0450440\pi\)
−0.921005 + 0.389551i \(0.872630\pi\)
\(84\) −103.829 + 40.4393i −0.134865 + 0.0525273i
\(85\) 267.866 203.627i 0.341814 0.259840i
\(86\) −418.073 116.077i −0.524209 0.145546i
\(87\) −72.2316 + 1165.07i −0.0890119 + 1.43573i
\(88\) 8.81025 + 162.495i 0.0106725 + 0.196842i
\(89\) −42.5732 785.216i −0.0507050 0.935199i −0.907633 0.419764i \(-0.862113\pi\)
0.856928 0.515435i \(-0.172370\pi\)
\(90\) 993.410 + 696.275i 1.16350 + 0.815487i
\(91\) 797.030 + 221.294i 0.918148 + 0.254923i
\(92\) −95.2458 + 72.4040i −0.107935 + 0.0820504i
\(93\) 64.9141 + 166.669i 0.0723794 + 0.185836i
\(94\) −209.667 755.154i −0.230059 0.828597i
\(95\) −397.122 419.236i −0.428883 0.452766i
\(96\) 226.054 + 92.1054i 0.240329 + 0.0979215i
\(97\) 76.9582 127.905i 0.0805558 0.133885i −0.813960 0.580921i \(-0.802693\pi\)
0.894516 + 0.447036i \(0.147520\pi\)
\(98\) −186.817 86.4305i −0.192564 0.0890898i
\(99\) −184.176 2.85609i −0.186973 0.00289947i
\(100\) −125.383 118.769i −0.125383 0.118769i
\(101\) 564.209 832.146i 0.555851 0.819818i −0.441132 0.897442i \(-0.645423\pi\)
0.996983 + 0.0776239i \(0.0247333\pi\)
\(102\) −195.034 187.636i −0.189325 0.182144i
\(103\) 137.944 + 1268.38i 0.131962 + 1.21337i 0.853537 + 0.521032i \(0.174453\pi\)
−0.721575 + 0.692336i \(0.756582\pi\)
\(104\) −495.752 823.946i −0.467428 0.776871i
\(105\) −279.975 1794.83i −0.260217 1.66816i
\(106\) 224.506 + 666.311i 0.205717 + 0.610546i
\(107\) −356.775 1620.85i −0.322343 1.46442i −0.807435 0.589957i \(-0.799145\pi\)
0.485091 0.874464i \(-0.338786\pi\)
\(108\) −64.6408 + 131.598i −0.0575931 + 0.117250i
\(109\) −1400.42 1189.53i −1.23061 1.04529i −0.997341 0.0728725i \(-0.976783\pi\)
−0.233264 0.972413i \(-0.574941\pi\)
\(110\) −302.483 49.5897i −0.262188 0.0429835i
\(111\) −55.0332 1184.89i −0.0470587 1.01320i
\(112\) 414.292 + 1039.79i 0.349526 + 0.877244i
\(113\) 2162.68 + 728.692i 1.80042 + 0.606634i 0.999974 + 0.00723576i \(0.00230323\pi\)
0.800451 + 0.599398i \(0.204593\pi\)
\(114\) −283.946 + 367.574i −0.233280 + 0.301986i
\(115\) −818.979 1770.19i −0.664089 1.43540i
\(116\) −234.424 12.7101i −0.187636 0.0101733i
\(117\) 969.421 494.853i 0.766009 0.391019i
\(118\) 593.542 1037.36i 0.463050 0.809292i
\(119\) 405.255i 0.312182i
\(120\) −1198.58 + 1738.59i −0.911788 + 1.32259i
\(121\) −1165.74 + 539.330i −0.875840 + 0.405207i
\(122\) −27.2163 + 250.250i −0.0201971 + 0.185710i
\(123\) −859.308 1027.70i −0.629929 0.753370i
\(124\) −33.4182 + 13.3150i −0.0242019 + 0.00964294i
\(125\) 567.713 384.919i 0.406222 0.275426i
\(126\) −1391.68 + 445.005i −0.983974 + 0.314636i
\(127\) −314.485 + 370.241i −0.219733 + 0.258689i −0.860973 0.508651i \(-0.830144\pi\)
0.641240 + 0.767340i \(0.278420\pi\)
\(128\) 407.795 1023.49i 0.281596 0.706754i
\(129\) 808.003 + 279.242i 0.551478 + 0.190588i
\(130\) 1716.41 578.327i 1.15800 0.390174i
\(131\) 1181.77 + 1391.29i 0.788184 + 0.927922i 0.998766 0.0496545i \(-0.0158120\pi\)
−0.210583 + 0.977576i \(0.567536\pi\)
\(132\) 0.287217 37.0448i 0.000189386 0.0244268i
\(133\) 691.427 75.1972i 0.450785 0.0490258i
\(134\) −478.745 + 2174.96i −0.308637 + 1.40215i
\(135\) −1868.69 1490.37i −1.19134 0.950150i
\(136\) 323.980 342.021i 0.204272 0.215648i
\(137\) −427.933 226.876i −0.266867 0.141484i 0.329602 0.944120i \(-0.393085\pi\)
−0.596469 + 0.802636i \(0.703430\pi\)
\(138\) −1305.28 + 870.309i −0.805168 + 0.536852i
\(139\) −573.269 344.924i −0.349813 0.210476i 0.329792 0.944054i \(-0.393021\pi\)
−0.679605 + 0.733578i \(0.737849\pi\)
\(140\) 360.528 59.1056i 0.217644 0.0356810i
\(141\) 320.249 + 1510.60i 0.191276 + 0.902237i
\(142\) −2862.79 + 794.851i −1.69183 + 0.469735i
\(143\) −166.431 + 218.936i −0.0973262 + 0.128030i
\(144\) 1326.91 + 639.056i 0.767888 + 0.369824i
\(145\) 1023.92 3687.82i 0.586427 2.11212i
\(146\) −2248.03 + 1191.83i −1.27431 + 0.675594i
\(147\) 356.844 + 192.746i 0.200218 + 0.108145i
\(148\) 238.213 12.9155i 0.132304 0.00717331i
\(149\) −1342.78 2532.76i −0.738289 1.39256i −0.913007 0.407943i \(-0.866246\pi\)
0.174718 0.984618i \(-0.444099\pi\)
\(150\) −1544.58 1656.13i −0.840765 0.901482i
\(151\) 1499.07 + 1971.99i 0.807898 + 1.06277i 0.996733 + 0.0807624i \(0.0257355\pi\)
−0.188836 + 0.982009i \(0.560471\pi\)
\(152\) −643.656 489.294i −0.343470 0.261099i
\(153\) 360.664 + 392.771i 0.190575 + 0.207540i
\(154\) 268.021 253.883i 0.140245 0.132847i
\(155\) −94.8777 578.728i −0.0491662 0.299901i
\(156\) 101.033 + 194.193i 0.0518535 + 0.0996657i
\(157\) −417.389 + 902.171i −0.212174 + 0.458606i −0.984217 0.176964i \(-0.943372\pi\)
0.772044 + 0.635569i \(0.219235\pi\)
\(158\) −73.9642 + 139.511i −0.0372423 + 0.0702464i
\(159\) −360.263 1337.70i −0.179690 0.667209i
\(160\) −662.435 449.142i −0.327313 0.221924i
\(161\) 2294.24 + 505.000i 1.12305 + 0.247202i
\(162\) −952.768 + 1669.84i −0.462077 + 0.809848i
\(163\) 2400.98 1444.62i 1.15374 0.694182i 0.195656 0.980673i \(-0.437316\pi\)
0.958083 + 0.286491i \(0.0924888\pi\)
\(164\) 205.345 174.421i 0.0977728 0.0830489i
\(165\) 588.799 + 134.399i 0.277806 + 0.0634117i
\(166\) −502.302 + 110.565i −0.234857 + 0.0516959i
\(167\) 926.220 + 369.040i 0.429180 + 0.171001i 0.574718 0.818352i \(-0.305112\pi\)
−0.145538 + 0.989353i \(0.546491\pi\)
\(168\) −793.388 2416.45i −0.364352 1.10972i
\(169\) −92.5322 + 564.421i −0.0421175 + 0.256905i
\(170\) 497.976 + 734.460i 0.224665 + 0.331356i
\(171\) 603.204 688.228i 0.269755 0.307778i
\(172\) −54.8996 + 162.936i −0.0243375 + 0.0722312i
\(173\) −1925.67 209.429i −0.846276 0.0920381i −0.325302 0.945610i \(-0.605466\pi\)
−0.520975 + 0.853572i \(0.674431\pi\)
\(174\) −3057.73 356.556i −1.33222 0.155347i
\(175\) −183.588 + 3386.08i −0.0793025 + 1.46265i
\(176\) −372.130 −0.159377
\(177\) −1293.70 + 1967.63i −0.549379 + 0.835573i
\(178\) 2073.83 0.873260
\(179\) −119.134 + 2197.30i −0.0497458 + 0.917507i 0.862040 + 0.506841i \(0.169187\pi\)
−0.911786 + 0.410666i \(0.865296\pi\)
\(180\) 296.820 378.143i 0.122909 0.156584i
\(181\) −3552.85 386.396i −1.45901 0.158677i −0.656055 0.754713i \(-0.727776\pi\)
−0.802958 + 0.596036i \(0.796741\pi\)
\(182\) −696.544 + 2067.27i −0.283688 + 0.841957i
\(183\) 84.0326 488.807i 0.0339446 0.197452i
\(184\) −1532.54 2260.32i −0.614022 0.905614i
\(185\) −629.200 + 3837.95i −0.250053 + 1.52525i
\(186\) −448.166 + 147.146i −0.176673 + 0.0580067i
\(187\) −125.166 49.8707i −0.0489468 0.0195022i
\(188\) −303.303 + 66.7621i −0.117663 + 0.0258996i
\(189\) 2791.04 705.444i 1.07417 0.271500i
\(190\) 1160.70 985.906i 0.443189 0.376448i
\(191\) −3547.34 + 2134.36i −1.34385 + 0.808571i −0.991848 0.127427i \(-0.959328\pi\)
−0.352007 + 0.935997i \(0.614501\pi\)
\(192\) −1242.84 + 2632.61i −0.467159 + 0.989543i
\(193\) −4693.77 1033.18i −1.75060 0.385335i −0.779949 0.625843i \(-0.784755\pi\)
−0.970647 + 0.240508i \(0.922686\pi\)
\(194\) 325.833 + 220.920i 0.120585 + 0.0817584i
\(195\) −3445.90 + 928.035i −1.26547 + 0.340810i
\(196\) −38.2074 + 72.0668i −0.0139240 + 0.0262634i
\(197\) −981.836 + 2122.20i −0.355091 + 0.767517i 0.644904 + 0.764264i \(0.276898\pi\)
−0.999995 + 0.00325296i \(0.998965\pi\)
\(198\) 33.8170 484.592i 0.0121377 0.173932i
\(199\) 30.6420 + 186.908i 0.0109153 + 0.0665806i 0.991723 0.128400i \(-0.0409840\pi\)
−0.980807 + 0.194980i \(0.937536\pi\)
\(200\) 2861.93 2710.96i 1.01184 0.958469i
\(201\) 1206.64 4218.77i 0.423433 1.48044i
\(202\) 2110.78 + 1604.57i 0.735218 + 0.558898i
\(203\) 2789.66 + 3669.73i 0.964510 + 1.26879i
\(204\) −78.4294 + 73.1470i −0.0269174 + 0.0251045i
\(205\) 2057.39 + 3880.65i 0.700949 + 1.32213i
\(206\) −3359.79 + 182.162i −1.13635 + 0.0616109i
\(207\) 2673.00 1552.35i 0.897517 0.521237i
\(208\) 1942.76 1029.99i 0.647627 0.343350i
\(209\) −61.8618 + 222.806i −0.0204740 + 0.0737407i
\(210\) 4766.39 481.016i 1.56625 0.158063i
\(211\) −1327.37 + 1746.13i −0.433081 + 0.569708i −0.959926 0.280253i \(-0.909582\pi\)
0.526845 + 0.849961i \(0.323375\pi\)
\(212\) 268.468 74.5397i 0.0869738 0.0241482i
\(213\) 5726.70 1214.07i 1.84219 0.390547i
\(214\) 4319.20 708.097i 1.37969 0.226189i
\(215\) −2401.78 1445.10i −0.761859 0.458395i
\(216\) −2919.50 1635.92i −0.919662 0.515324i
\(217\) 624.053 + 330.852i 0.195223 + 0.103501i
\(218\) 3332.40 3517.97i 1.03531 1.09297i
\(219\) 4566.15 2069.70i 1.40891 0.638618i
\(220\) −26.1114 + 118.625i −0.00800195 + 0.0363532i
\(221\) 791.480 86.0787i 0.240908 0.0262004i
\(222\) 3128.10 + 24.2529i 0.945697 + 0.00733221i
\(223\) −3830.28 4509.35i −1.15020 1.35412i −0.925073 0.379790i \(-0.875996\pi\)
−0.225127 0.974330i \(-0.572280\pi\)
\(224\) 913.482 307.788i 0.272476 0.0918078i
\(225\) 2835.56 + 3445.15i 0.840167 + 1.02079i
\(226\) −2227.69 + 5591.07i −0.655679 + 1.64563i
\(227\) −1495.03 + 1760.09i −0.437131 + 0.514631i −0.935978 0.352060i \(-0.885481\pi\)
0.498846 + 0.866691i \(0.333757\pi\)
\(228\) 139.353 + 120.240i 0.0404775 + 0.0349257i
\(229\) −4004.67 + 2715.23i −1.15562 + 0.783526i −0.979619 0.200864i \(-0.935625\pi\)
−0.175996 + 0.984391i \(0.556315\pi\)
\(230\) 4778.48 1903.92i 1.36993 0.545830i
\(231\) −558.027 + 466.593i −0.158942 + 0.132899i
\(232\) 579.379 5327.30i 0.163957 1.50756i
\(233\) −97.6547 + 45.1799i −0.0274574 + 0.0127031i −0.433570 0.901120i \(-0.642746\pi\)
0.406112 + 0.913823i \(0.366884\pi\)
\(234\) 1164.71 + 2623.48i 0.325383 + 0.732917i
\(235\) 5062.99i 1.40542i
\(236\) −397.736 257.112i −0.109705 0.0709177i
\(237\) 162.463 265.336i 0.0445278 0.0727234i
\(238\) −1067.18 57.8609i −0.290652 0.0157587i
\(239\) 622.096 + 1344.64i 0.168368 + 0.363922i 0.973332 0.229402i \(-0.0736772\pi\)
−0.804963 + 0.593325i \(0.797815\pi\)
\(240\) −3821.49 2952.05i −1.02782 0.793976i
\(241\) −1858.45 626.185i −0.496736 0.167370i 0.0597720 0.998212i \(-0.480963\pi\)
−0.556508 + 0.830842i \(0.687859\pi\)
\(242\) −1253.81 3146.82i −0.333049 0.835889i
\(243\) 2077.24 3167.65i 0.548375 0.836233i
\(244\) 98.4371 + 16.1379i 0.0258270 + 0.00423412i
\(245\) −1013.51 860.879i −0.264288 0.224488i
\(246\) 2828.99 2116.13i 0.733210 0.548454i
\(247\) −293.727 1334.41i −0.0756655 0.343752i
\(248\) −262.180 778.123i −0.0671309 0.199237i
\(249\) 1001.28 156.189i 0.254832 0.0397513i
\(250\) 932.573 + 1549.95i 0.235924 + 0.392109i
\(251\) −363.321 3340.68i −0.0913650 0.840088i −0.946723 0.322050i \(-0.895628\pi\)
0.855358 0.518038i \(-0.173337\pi\)
\(252\) 146.227 + 560.218i 0.0365532 + 0.140041i
\(253\) −438.302 + 646.447i −0.108916 + 0.160639i
\(254\) −930.074 881.013i −0.229756 0.217637i
\(255\) −889.742 1505.06i −0.218501 0.369609i
\(256\) −1430.90 662.003i −0.349340 0.161622i
\(257\) −2507.73 + 4167.88i −0.608669 + 1.01162i 0.387303 + 0.921953i \(0.373407\pi\)
−0.995972 + 0.0896636i \(0.971421\pi\)
\(258\) −850.707 + 2087.89i −0.205282 + 0.503823i
\(259\) −3221.31 3400.69i −0.772827 0.815864i
\(260\) −192.014 691.572i −0.0458008 0.164959i
\(261\) 5969.66 + 1073.98i 1.41576 + 0.254704i
\(262\) −3832.50 + 2913.39i −0.903711 + 0.686984i
\(263\) 4754.88 + 1320.19i 1.11482 + 0.309529i 0.775630 0.631188i \(-0.217432\pi\)
0.339193 + 0.940717i \(0.389846\pi\)
\(264\) 843.971 + 52.3243i 0.196753 + 0.0121982i
\(265\) 245.914 + 4535.62i 0.0570052 + 1.05140i
\(266\) 99.3016 + 1831.51i 0.0228894 + 0.422170i
\(267\) −4078.26 252.843i −0.934778 0.0579541i
\(268\) 850.336 + 236.095i 0.193815 + 0.0538126i
\(269\) 1272.00 966.946i 0.288308 0.219166i −0.451016 0.892516i \(-0.648938\pi\)
0.739324 + 0.673350i \(0.235145\pi\)
\(270\) 4191.47 4708.13i 0.944758 1.06121i
\(271\) 575.097 + 2071.31i 0.128910 + 0.464292i 0.999622 0.0275017i \(-0.00875516\pi\)
−0.870712 + 0.491794i \(0.836341\pi\)
\(272\) 740.857 + 782.113i 0.165151 + 0.174348i
\(273\) 1621.82 3980.44i 0.359550 0.882443i
\(274\) 658.544 1094.51i 0.145197 0.241320i
\(275\) −1023.22 473.393i −0.224373 0.103806i
\(276\) 316.368 + 535.156i 0.0689968 + 0.116712i
\(277\) 5151.84 + 4880.08i 1.11749 + 1.05854i 0.997838 + 0.0657249i \(0.0209360\pi\)
0.119650 + 0.992816i \(0.461823\pi\)
\(278\) 990.158 1460.37i 0.213618 0.315063i
\(279\) 899.275 234.726i 0.192968 0.0503681i
\(280\) 901.615 + 8290.22i 0.192435 + 1.76941i
\(281\) −2347.35 3901.32i −0.498331 0.828233i 0.500976 0.865461i \(-0.332975\pi\)
−0.999307 + 0.0372287i \(0.988147\pi\)
\(282\) −4023.67 + 627.653i −0.849667 + 0.132540i
\(283\) 959.975 + 2849.10i 0.201642 + 0.598451i 0.999993 0.00374081i \(-0.00119074\pi\)
−0.798351 + 0.602192i \(0.794294\pi\)
\(284\) 253.096 + 1149.83i 0.0528819 + 0.240245i
\(285\) −2402.76 + 1797.31i −0.499393 + 0.373555i
\(286\) −552.774 469.530i −0.114287 0.0970766i
\(287\) −5220.45 855.849i −1.07371 0.176025i
\(288\) 611.420 1111.27i 0.125098 0.227370i
\(289\) −1674.12 4201.71i −0.340752 0.855224i
\(290\) 9565.16 + 3222.88i 1.93685 + 0.652600i
\(291\) −613.827 474.173i −0.123654 0.0955207i
\(292\) 423.365 + 915.089i 0.0848479 + 0.183396i
\(293\) 3168.67 + 171.800i 0.631794 + 0.0342549i 0.367255 0.930120i \(-0.380298\pi\)
0.264539 + 0.964375i \(0.414780\pi\)
\(294\) −558.516 + 912.177i −0.110794 + 0.180950i
\(295\) 5487.49 5431.45i 1.08303 1.07197i
\(296\) 5445.32i 1.06927i
\(297\) −125.584 + 948.845i −0.0245358 + 0.185379i
\(298\) 6861.37 3174.41i 1.33379 0.617076i
\(299\) 498.976 4588.01i 0.0965101 0.887396i
\(300\) −688.447 + 575.644i −0.132492 + 0.110783i
\(301\) 3136.20 1249.58i 0.600556 0.239284i
\(302\) −5406.99 + 3666.03i −1.03026 + 0.698531i
\(303\) −3955.30 3412.80i −0.749920 0.647064i
\(304\) 1196.93 1409.14i 0.225819 0.265854i
\(305\) −601.918 + 1510.70i −0.113002 + 0.283615i
\(306\) −1085.80 + 893.678i −0.202847 + 0.166955i
\(307\) −3103.88 + 1045.82i −0.577028 + 0.194424i −0.592658 0.805454i \(-0.701921\pi\)
0.0156294 + 0.999878i \(0.495025\pi\)
\(308\) −94.7086 111.500i −0.0175212 0.0206275i
\(309\) 6629.35 + 51.3989i 1.22049 + 0.00946272i
\(310\) 1537.54 167.218i 0.281699 0.0306366i
\(311\) −1773.12 + 8055.34i −0.323293 + 1.46874i 0.482164 + 0.876081i \(0.339851\pi\)
−0.805457 + 0.592654i \(0.798080\pi\)
\(312\) −4550.90 + 2062.79i −0.825782 + 0.374302i
\(313\) 2743.18 2895.94i 0.495380 0.522966i −0.429581 0.903028i \(-0.641339\pi\)
0.924961 + 0.380062i \(0.124097\pi\)
\(314\) −2316.14 1227.94i −0.416266 0.220690i
\(315\) −9431.93 + 364.813i −1.68708 + 0.0652536i
\(316\) 53.6162 + 32.2598i 0.00954476 + 0.00574289i
\(317\) −1640.23 + 268.902i −0.290614 + 0.0476437i −0.305325 0.952248i \(-0.598765\pi\)
0.0147116 + 0.999892i \(0.495317\pi\)
\(318\) 3574.07 757.709i 0.630264 0.133617i
\(319\) −1476.72 + 410.009i −0.259186 + 0.0719626i
\(320\) 5776.56 7598.94i 1.00912 1.32748i
\(321\) −8580.20 + 865.898i −1.49190 + 0.150560i
\(322\) −1657.41 + 5969.45i −0.286844 + 1.03312i
\(323\) 591.433 313.558i 0.101883 0.0540149i
\(324\) 640.297 + 412.823i 0.109790 + 0.0707858i
\(325\) 6652.14 360.669i 1.13537 0.0615579i
\(326\) 3461.40 + 6528.90i 0.588066 + 1.10921i
\(327\) −6982.20 + 6511.93i −1.18078 + 1.10125i
\(328\) 3721.67 + 4895.77i 0.626508 + 0.824157i
\(329\) 4854.52 + 3690.31i 0.813490 + 0.618399i
\(330\) −437.987 + 1531.33i −0.0730617 + 0.255445i
\(331\) 7830.97 7417.89i 1.30039 1.23179i 0.344252 0.938877i \(-0.388133\pi\)
0.956138 0.292917i \(-0.0946261\pi\)
\(332\) 32.9731 + 201.127i 0.00545070 + 0.0332478i
\(333\) −6148.57 429.075i −1.01183 0.0706101i
\(334\) −1104.06 + 2386.38i −0.180872 + 0.390948i
\(335\) −6739.02 + 12711.1i −1.09908 + 2.07309i
\(336\) 5615.90 1512.45i 0.911823 0.245568i
\(337\) 1428.83 + 968.772i 0.230960 + 0.156595i 0.671178 0.741296i \(-0.265789\pi\)
−0.440218 + 0.897891i \(0.645099\pi\)
\(338\) −1473.11 324.256i −0.237061 0.0521811i
\(339\) 5062.49 10723.4i 0.811082 1.71805i
\(340\) 301.300 181.286i 0.0480597 0.0289166i
\(341\) −178.982 + 152.028i −0.0284235 + 0.0241431i
\(342\) 1726.23 + 1686.71i 0.272934 + 0.266687i
\(343\) −5309.51 + 1168.71i −0.835820 + 0.183978i
\(344\) −3645.81 1452.62i −0.571421 0.227675i
\(345\) −9629.18 + 3161.53i −1.50266 + 0.493366i
\(346\) 826.441 5041.07i 0.128410 0.783264i
\(347\) 1462.13 + 2156.48i 0.226200 + 0.333619i 0.923805 0.382862i \(-0.125062\pi\)
−0.697606 + 0.716482i \(0.745751\pi\)
\(348\) −206.684 + 1202.26i −0.0318374 + 0.185195i
\(349\) 3107.00 9221.24i 0.476544 1.41433i −0.392572 0.919721i \(-0.628415\pi\)
0.869115 0.494610i \(-0.164689\pi\)
\(350\) −8890.54 966.904i −1.35777 0.147666i
\(351\) −1970.59 5301.18i −0.299665 0.806142i
\(352\) −17.3505 + 320.012i −0.00262723 + 0.0484565i
\(353\) −2426.40 −0.365847 −0.182924 0.983127i \(-0.558556\pi\)
−0.182924 + 0.983127i \(0.558556\pi\)
\(354\) −4996.77 3687.69i −0.750213 0.553669i
\(355\) −19193.8 −2.86959
\(356\) 44.4911 820.590i 0.00662366 0.122166i
\(357\) 2091.60 + 243.897i 0.310081 + 0.0361580i
\(358\) −5769.26 627.445i −0.851717 0.0926298i
\(359\) −354.979 + 1053.54i −0.0521868 + 0.154885i −0.970577 0.240791i \(-0.922593\pi\)
0.918390 + 0.395676i \(0.129490\pi\)
\(360\) 8251.85 + 7232.42i 1.20809 + 1.05884i
\(361\) 3204.46 + 4726.23i 0.467191 + 0.689055i
\(362\) 1524.78 9300.75i 0.221383 1.35038i
\(363\) 2081.99 + 6341.20i 0.301037 + 0.916878i
\(364\) 803.050 + 319.964i 0.115635 + 0.0460733i
\(365\) −16053.2 + 3533.58i −2.30209 + 0.506729i
\(366\) 1275.21 + 291.078i 0.182120 + 0.0415707i
\(367\) 6130.55 5207.33i 0.871967 0.740655i −0.0950215 0.995475i \(-0.530292\pi\)
0.966989 + 0.254820i \(0.0820161\pi\)
\(368\) 5350.91 3219.54i 0.757977 0.456060i
\(369\) −5821.30 + 3816.54i −0.821260 + 0.538431i
\(370\) −10016.9 2204.88i −1.40744 0.309800i
\(371\) −4528.10 3070.13i −0.633658 0.429631i
\(372\) 48.6090 + 180.491i 0.00677489 + 0.0251559i
\(373\) −4436.81 + 8368.72i −0.615897 + 1.16170i 0.357788 + 0.933803i \(0.383531\pi\)
−0.973684 + 0.227901i \(0.926814\pi\)
\(374\) 149.198 322.486i 0.0206279 0.0445866i
\(375\) −1644.97 3161.73i −0.226522 0.435389i
\(376\) −1146.84 6995.40i −0.157297 0.959469i
\(377\) 6574.60 6227.79i 0.898167 0.850789i
\(378\) 1459.19 + 7450.53i 0.198552 + 1.01379i
\(379\) 1017.67 + 773.610i 0.137926 + 0.104849i 0.671862 0.740676i \(-0.265495\pi\)
−0.533936 + 0.845525i \(0.679288\pi\)
\(380\) −365.210 480.426i −0.0493023 0.0648561i
\(381\) 1721.61 + 1845.94i 0.231498 + 0.248216i
\(382\) −5114.06 9646.14i −0.684969 1.29199i
\(383\) 2371.68 128.589i 0.316415 0.0171555i 0.104753 0.994498i \(-0.466595\pi\)
0.211663 + 0.977343i \(0.432112\pi\)
\(384\) −5036.99 2720.68i −0.669382 0.361560i
\(385\) 2107.14 1117.14i 0.278935 0.147882i
\(386\) 3390.88 12212.9i 0.447128 1.61041i
\(387\) 1927.50 4002.19i 0.253180 0.525692i
\(388\) 94.4057 124.189i 0.0123524 0.0162493i
\(389\) 12071.6 3351.66i 1.57340 0.436854i 0.632232 0.774779i \(-0.282139\pi\)
0.941173 + 0.337925i \(0.109725\pi\)
\(390\) −1951.85 9206.79i −0.253425 1.19539i
\(391\) 2231.24 365.794i 0.288590 0.0473120i
\(392\) −1595.34 959.881i −0.205553 0.123677i
\(393\) 7891.94 5262.02i 1.01297 0.675404i
\(394\) −5448.34 2888.53i −0.696658 0.369345i
\(395\) −701.523 + 740.589i −0.0893607 + 0.0943369i
\(396\) −191.022 23.7772i −0.0242404 0.00301730i
\(397\) −2748.68 + 12487.4i −0.347486 + 1.57865i 0.401371 + 0.915916i \(0.368534\pi\)
−0.748857 + 0.662731i \(0.769397\pi\)
\(398\) −496.570 + 54.0052i −0.0625397 + 0.00680160i
\(399\) 28.0189 3613.84i 0.00351554 0.453429i
\(400\) 5835.86 + 6870.50i 0.729482 + 0.858812i
\(401\) 4897.31 1650.10i 0.609876 0.205491i 0.00261876 0.999997i \(-0.499166\pi\)
0.607257 + 0.794506i \(0.292270\pi\)
\(402\) 10937.3 + 3779.86i 1.35697 + 0.468961i
\(403\) 513.614 1289.07i 0.0634862 0.159338i
\(404\) 680.195 800.787i 0.0837647 0.0986155i
\(405\) −8816.69 + 8747.67i −1.08174 + 1.07327i
\(406\) −10062.0 + 6822.21i −1.22997 + 0.833943i
\(407\) 1446.74 576.435i 0.176197 0.0702034i
\(408\) −1570.25 1877.96i −0.190537 0.227874i
\(409\) 1407.47 12941.5i 0.170159 1.56458i −0.528378 0.849009i \(-0.677200\pi\)
0.698537 0.715574i \(-0.253835\pi\)
\(410\) −10512.9 + 4863.78i −1.26633 + 0.585866i
\(411\) −1428.49 + 2072.10i −0.171441 + 0.248684i
\(412\) 1333.33i 0.159439i
\(413\) 1208.09 + 9220.40i 0.143938 + 1.09856i
\(414\) 3706.26 + 7260.59i 0.439982 + 0.861929i
\(415\) −3317.78 179.885i −0.392442 0.0212776i
\(416\) −795.151 1718.69i −0.0937151 0.202562i
\(417\) −2125.23 + 2751.16i −0.249576 + 0.323081i
\(418\) −577.895 194.715i −0.0676215 0.0227843i
\(419\) −1008.20 2530.38i −0.117550 0.295029i 0.858415 0.512956i \(-0.171450\pi\)
−0.975965 + 0.217927i \(0.930070\pi\)
\(420\) −88.0760 1896.32i −0.0102325 0.220312i
\(421\) 4856.06 + 796.111i 0.562162 + 0.0921617i 0.436161 0.899869i \(-0.356338\pi\)
0.126000 + 0.992030i \(0.459786\pi\)
\(422\) −4408.66 3744.75i −0.508555 0.431970i
\(423\) 7989.21 743.733i 0.918319 0.0854883i
\(424\) 1367.15 + 6211.05i 0.156592 + 0.711403i
\(425\) 1042.15 + 3092.98i 0.118945 + 0.353015i
\(426\) 2379.44 + 15253.8i 0.270620 + 1.73485i
\(427\) −1009.77 1678.25i −0.114441 0.190202i
\(428\) −187.523 1724.25i −0.0211782 0.194730i
\(429\) 1029.80 + 990.743i 0.115896 + 0.111500i
\(430\) 4148.38 6118.40i 0.465239 0.686176i
\(431\) 9655.38 + 9146.06i 1.07908 + 1.02216i 0.999680 + 0.0253158i \(0.00805914\pi\)
0.0794003 + 0.996843i \(0.474699\pi\)
\(432\) 4096.87 6463.82i 0.456275 0.719886i
\(433\) −489.521 226.476i −0.0543299 0.0251357i 0.392536 0.919737i \(-0.371598\pi\)
−0.446866 + 0.894601i \(0.647460\pi\)
\(434\) −960.351 + 1596.12i −0.106217 + 0.176535i
\(435\) −18417.3 7504.09i −2.02998 0.827112i
\(436\) −1320.53 1394.06i −0.145050 0.153127i
\(437\) −1038.12 3738.96i −0.113638 0.409288i
\(438\) 4798.31 + 12319.8i 0.523453 + 1.34398i
\(439\) −2671.88 + 2031.11i −0.290482 + 0.220819i −0.740258 0.672322i \(-0.765297\pi\)
0.449776 + 0.893141i \(0.351504\pi\)
\(440\) −2671.44 741.723i −0.289446 0.0803642i
\(441\) 1209.56 1725.73i 0.130607 0.186344i
\(442\) 113.671 + 2096.54i 0.0122325 + 0.225616i
\(443\) −297.115 5479.96i −0.0318653 0.587722i −0.970246 0.242119i \(-0.922157\pi\)
0.938381 0.345602i \(-0.112325\pi\)
\(444\) 76.7056 1237.23i 0.00819885 0.132244i
\(445\) 12909.0 + 3584.18i 1.37516 + 0.381812i
\(446\) 12421.6 9442.66i 1.31879 1.00252i
\(447\) −13880.2 + 5406.05i −1.46870 + 0.572029i
\(448\) 3075.63 + 11077.4i 0.324352 + 1.16821i
\(449\) −1198.10 1264.81i −0.125928 0.132940i 0.659982 0.751281i \(-0.270564\pi\)
−0.785910 + 0.618341i \(0.787805\pi\)
\(450\) −9477.17 + 6975.16i −0.992795 + 0.730694i
\(451\) 906.763 1507.05i 0.0946736 0.157349i
\(452\) 2164.53 + 1001.42i 0.225245 + 0.104210i
\(453\) 11080.0 6550.15i 1.14919 0.679367i
\(454\) −4421.49 4188.25i −0.457072 0.432961i
\(455\) −7908.63 + 11664.4i −0.814863 + 1.20183i
\(456\) −2912.71 + 3027.55i −0.299123 + 0.310917i
\(457\) 1401.11 + 12883.0i 0.143416 + 1.31869i 0.815733 + 0.578428i \(0.196334\pi\)
−0.672317 + 0.740264i \(0.734701\pi\)
\(458\) −6578.40 10933.4i −0.671154 1.11547i
\(459\) 2244.22 1625.07i 0.228216 0.165254i
\(460\) −650.843 1931.63i −0.0659690 0.195789i
\(461\) −2261.47 10274.0i −0.228476 1.03797i −0.941547 0.336883i \(-0.890627\pi\)
0.713071 0.701092i \(-0.247304\pi\)
\(462\) −1149.03 1536.10i −0.115710 0.154688i
\(463\) 1807.69 + 1535.47i 0.181448 + 0.154124i 0.733508 0.679681i \(-0.237882\pi\)
−0.552059 + 0.833805i \(0.686158\pi\)
\(464\) 12092.6 + 1982.47i 1.20988 + 0.198349i
\(465\) −3044.02 + 141.382i −0.303577 + 0.0140998i
\(466\) −105.032 263.610i −0.0104410 0.0262050i
\(467\) −9568.75 3224.09i −0.948156 0.319471i −0.197604 0.980282i \(-0.563316\pi\)
−0.750552 + 0.660811i \(0.770212\pi\)
\(468\) 1063.07 404.580i 0.105001 0.0399609i
\(469\) −7275.81 15726.4i −0.716345 1.54835i
\(470\) 13332.7 + 722.876i 1.30849 + 0.0709442i
\(471\) 4405.07 + 2697.18i 0.430944 + 0.263863i
\(472\) 6351.62 8747.49i 0.619400 0.853042i
\(473\) 1122.41i 0.109109i
\(474\) 675.529 + 465.706i 0.0654601 + 0.0451278i
\(475\) 5083.71 2351.98i 0.491067 0.227192i
\(476\) −45.7898 + 421.030i −0.00440918 + 0.0405417i
\(477\) −7120.92 + 1054.31i −0.683531 + 0.101202i
\(478\) −3629.73 + 1446.22i −0.347322 + 0.138386i
\(479\) −8353.27 + 5663.66i −0.796807 + 0.540249i −0.890302 0.455371i \(-0.849507\pi\)
0.0934947 + 0.995620i \(0.470196\pi\)
\(480\) −2716.78 + 3148.64i −0.258340 + 0.299406i
\(481\) −5957.47 + 7013.67i −0.564734 + 0.664856i
\(482\) 1914.31 4804.56i 0.180902 0.454029i
\(483\) 3987.15 11537.1i 0.375614 1.08686i
\(484\) −1272.06 + 428.606i −0.119464 + 0.0402523i
\(485\) 1646.41 + 1938.30i 0.154143 + 0.181472i
\(486\) 8044.96 + 5922.38i 0.750878 + 0.552767i
\(487\) 360.542 39.2113i 0.0335477 0.00364853i −0.0913298 0.995821i \(-0.529112\pi\)
0.124877 + 0.992172i \(0.460146\pi\)
\(488\) −489.460 + 2223.64i −0.0454033 + 0.206269i
\(489\) −6010.97 13261.3i −0.555880 1.22638i
\(490\) 2411.71 2546.01i 0.222347 0.234728i
\(491\) 18359.7 + 9733.71i 1.68750 + 0.894656i 0.982689 + 0.185262i \(0.0593132\pi\)
0.704811 + 0.709395i \(0.251032\pi\)
\(492\) −776.637 1164.79i −0.0711656 0.106734i
\(493\) 3801.65 + 2287.38i 0.347297 + 0.208962i
\(494\) 3555.92 582.964i 0.323863 0.0530947i
\(495\) 1048.02 2958.01i 0.0951613 0.268591i
\(496\) 1809.21 502.325i 0.163782 0.0454739i
\(497\) 13990.0 18403.5i 1.26265 1.66099i
\(498\) 268.343 + 2659.02i 0.0241461 + 0.239264i
\(499\) −2329.08 + 8388.59i −0.208946 + 0.752555i 0.782569 + 0.622564i \(0.213909\pi\)
−0.991515 + 0.129992i \(0.958505\pi\)
\(500\) 633.303 335.756i 0.0566443 0.0300309i
\(501\) 2462.11 4558.29i 0.219559 0.406486i
\(502\) 8849.08 479.783i 0.786761 0.0426569i
\(503\) −5879.00 11089.0i −0.521136 0.982967i −0.994760 0.102240i \(-0.967399\pi\)
0.473624 0.880727i \(-0.342946\pi\)
\(504\) −12949.2 + 2640.52i −1.14445 + 0.233369i
\(505\) 10365.9 + 13636.1i 0.913417 + 1.20158i
\(506\) −1639.75 1246.50i −0.144062 0.109513i
\(507\) 2857.39 + 817.264i 0.250298 + 0.0715897i
\(508\) −368.560 + 349.118i −0.0321894 + 0.0304914i
\(509\) −1865.24 11377.5i −0.162427 0.990761i −0.934691 0.355460i \(-0.884324\pi\)
0.772264 0.635301i \(-0.219124\pi\)
\(510\) 4090.38 2128.12i 0.355147 0.184774i
\(511\) 8312.77 17967.8i 0.719639 1.55547i
\(512\) 6076.09 11460.7i 0.524469 0.989253i
\(513\) −3189.04 3527.45i −0.274463 0.303588i
\(514\) −10617.5 7198.83i −0.911122 0.617756i
\(515\) −21228.6 4672.76i −1.81639 0.399819i
\(516\) 807.902 + 381.407i 0.0689262 + 0.0325398i
\(517\) −1737.17 + 1045.22i −0.147777 + 0.0889146i
\(518\) 9415.16 7997.31i 0.798607 0.678343i
\(519\) −2239.84 + 9812.68i −0.189437 + 0.829921i
\(520\) 15999.6 3521.78i 1.34929 0.297001i
\(521\) −673.776 268.457i −0.0566577 0.0225745i 0.341637 0.939832i \(-0.389019\pi\)
−0.398295 + 0.917257i \(0.630398\pi\)
\(522\) −3680.50 + 15566.9i −0.308603 + 1.30526i
\(523\) −928.719 + 5664.94i −0.0776483 + 0.473634i 0.919166 + 0.393871i \(0.128864\pi\)
−0.996814 + 0.0797624i \(0.974584\pi\)
\(524\) 1070.57 + 1578.98i 0.0892522 + 0.131637i
\(525\) 17365.7 + 2985.39i 1.44362 + 0.248178i
\(526\) −4155.40 + 12332.8i −0.344457 + 1.02231i
\(527\) 675.847 + 73.5028i 0.0558640 + 0.00607558i
\(528\) −223.961 + 1920.63i −0.0184596 + 0.158305i
\(529\) 50.8685 938.215i 0.00418086 0.0771114i
\(530\) −11979.0 −0.981764
\(531\) 9376.72 + 7861.19i 0.766318 + 0.642461i
\(532\) 726.837 0.0592338
\(533\) −562.654 + 10377.5i −0.0457246 + 0.843341i
\(534\) 1248.11 10703.4i 0.101144 0.867383i
\(535\) 28109.7 + 3057.11i 2.27156 + 0.247047i
\(536\) −6431.88 + 19089.1i −0.518311 + 1.53829i
\(537\) 11269.0 + 1937.28i 0.905570 + 0.155680i
\(538\) 2364.70 + 3487.68i 0.189497 + 0.279488i
\(539\) −86.1463 + 525.469i −0.00688420 + 0.0419917i
\(540\) −1773.03 1759.52i −0.141294 0.140218i
\(541\) −2462.20 981.031i −0.195672 0.0779627i 0.270244 0.962792i \(-0.412896\pi\)
−0.465916 + 0.884829i \(0.654275\pi\)
\(542\) −5536.61 + 1218.70i −0.438778 + 0.0965824i
\(543\) −4132.49 + 18104.4i −0.326597 + 1.43081i
\(544\) 707.116 600.630i 0.0557304 0.0473379i
\(545\) 26823.3 16139.1i 2.10823 1.26848i
\(546\) 10250.3 + 4839.15i 0.803433 + 0.379297i
\(547\) −877.105 193.065i −0.0685600 0.0150912i 0.180558 0.983564i \(-0.442210\pi\)
−0.249118 + 0.968473i \(0.580141\pi\)
\(548\) −418.956 284.059i −0.0326586 0.0221431i
\(549\) −2472.25 727.889i −0.192191 0.0565857i
\(550\) 1392.70 2626.92i 0.107973 0.203658i
\(551\) 3197.19 6910.62i 0.247196 0.534306i
\(552\) −12588.3 + 6549.35i −0.970638 + 0.504998i
\(553\) −198.769 1212.44i −0.0152848 0.0932333i
\(554\) −13586.6 + 12869.9i −1.04195 + 0.986983i
\(555\) 19429.7 + 5557.23i 1.48603 + 0.425030i
\(556\) −556.610 423.124i −0.0424560 0.0322742i
\(557\) 5887.22 + 7744.50i 0.447845 + 0.589130i 0.963514 0.267658i \(-0.0862498\pi\)
−0.515669 + 0.856788i \(0.672457\pi\)
\(558\) 489.723 + 2401.62i 0.0371534 + 0.182202i
\(559\) −3106.62 5859.71i −0.235055 0.443362i
\(560\) −19041.4 + 1032.39i −1.43687 + 0.0779046i
\(561\) −332.721 + 615.991i −0.0250401 + 0.0463585i
\(562\) 10608.7 5624.39i 0.796266 0.422154i
\(563\) −935.204 + 3368.30i −0.0700074 + 0.252144i −0.990270 0.139157i \(-0.955561\pi\)
0.920263 + 0.391300i \(0.127975\pi\)
\(564\) 162.033 + 1605.58i 0.0120972 + 0.119871i
\(565\) −23529.7 + 30952.8i −1.75204 + 2.30477i
\(566\) −7639.77 + 2121.17i −0.567356 + 0.157526i
\(567\) −1961.17 14829.6i −0.145258 1.09839i
\(568\) −26519.6 + 4347.67i −1.95905 + 0.321170i
\(569\) −3091.00 1859.79i −0.227735 0.137024i 0.397114 0.917769i \(-0.370012\pi\)
−0.624849 + 0.780746i \(0.714839\pi\)
\(570\) −4389.89 6583.93i −0.322583 0.483808i
\(571\) −22975.4 12180.8i −1.68387 0.892733i −0.983934 0.178530i \(-0.942866\pi\)
−0.699939 0.714203i \(-0.746789\pi\)
\(572\) −197.647 + 208.653i −0.0144476 + 0.0152521i
\(573\) 8880.91 + 19593.0i 0.647479 + 1.42846i
\(574\) 2999.11 13625.1i 0.218085 0.990768i
\(575\) 18808.7 2045.57i 1.36413 0.148358i
\(576\) 12839.4 + 7998.95i 0.928775 + 0.578627i
\(577\) 17324.2 + 20395.6i 1.24994 + 1.47154i 0.823796 + 0.566886i \(0.191852\pi\)
0.426143 + 0.904656i \(0.359872\pi\)
\(578\) 11303.6 3808.64i 0.813441 0.274080i
\(579\) −8157.30 + 23603.6i −0.585502 + 1.69418i
\(580\) 1480.46 3715.68i 0.105988 0.266009i
\(581\) 2590.74 3050.05i 0.184995 0.217793i
\(582\) 1336.31 1548.72i 0.0951747 0.110304i
\(583\) 1505.46 1020.73i 0.106946 0.0725114i
\(584\) −21379.9 + 8518.54i −1.51491 + 0.603595i
\(585\) 2715.89 + 18343.4i 0.191946 + 1.29642i
\(586\) −904.823 + 8319.71i −0.0637848 + 0.586491i
\(587\) −11956.8 + 5531.82i −0.840734 + 0.388965i −0.792501 0.609871i \(-0.791221\pi\)
−0.0482336 + 0.998836i \(0.515359\pi\)
\(588\) 348.955 + 240.568i 0.0244739 + 0.0168722i
\(589\) 1166.74i 0.0816206i
\(590\) 13519.5 + 15226.0i 0.943369 + 1.06245i
\(591\) 10362.2 + 6344.65i 0.721224 + 0.441598i
\(592\) −12433.8 674.139i −0.863217 0.0468023i
\(593\) −10957.1 23683.4i −0.758776 1.64007i −0.768280 0.640113i \(-0.778887\pi\)
0.00950401 0.999955i \(-0.496975\pi\)
\(594\) −2480.72 466.181i −0.171355 0.0322014i
\(595\) −6542.92 2204.57i −0.450813 0.151896i
\(596\) −1108.87 2783.07i −0.0762102 0.191273i
\(597\) 983.107 45.6610i 0.0673968 0.00313029i
\(598\) 12010.6 + 1969.04i 0.821322 + 0.134649i
\(599\) −598.920 508.727i −0.0408534 0.0347012i 0.626727 0.779239i \(-0.284394\pi\)
−0.667580 + 0.744538i \(0.732670\pi\)
\(600\) −12269.3 16402.5i −0.834823 1.11605i
\(601\) −4343.03 19730.6i −0.294769 1.33915i −0.858341 0.513080i \(-0.828504\pi\)
0.563572 0.826067i \(-0.309427\pi\)
\(602\) 2842.80 + 8437.14i 0.192465 + 0.571216i
\(603\) −21047.7 8766.71i −1.42144 0.592053i
\(604\) 1334.60 + 2218.13i 0.0899078 + 0.149428i
\(605\) −2366.00 21755.0i −0.158995 1.46193i
\(606\) 9551.84 9928.44i 0.640292 0.665537i
\(607\) −5929.37 + 8745.16i −0.396484 + 0.584770i −0.972567 0.232621i \(-0.925270\pi\)
0.576084 + 0.817391i \(0.304580\pi\)
\(608\) −1155.97 1095.00i −0.0771069 0.0730395i
\(609\) 20619.1 12189.4i 1.37197 0.811063i
\(610\) −3892.27 1800.76i −0.258350 0.119525i
\(611\) 6176.19 10264.9i 0.408939 0.679662i
\(612\) 330.323 + 448.811i 0.0218179 + 0.0296440i
\(613\) 2650.35 + 2797.95i 0.174628 + 0.184352i 0.807434 0.589958i \(-0.200856\pi\)
−0.632806 + 0.774310i \(0.718097\pi\)
\(614\) −2310.85 8322.94i −0.151887 0.547046i
\(615\) 21267.0 8283.06i 1.39442 0.543098i
\(616\) 2658.34 2020.82i 0.173876 0.132177i
\(617\) 15186.1 + 4216.40i 0.990873 + 0.275115i 0.724891 0.688863i \(-0.241890\pi\)
0.265982 + 0.963978i \(0.414304\pi\)
\(618\) −1081.87 + 17450.1i −0.0704191 + 1.13583i
\(619\) −1373.85 25339.2i −0.0892082 1.64535i −0.610534 0.791990i \(-0.709045\pi\)
0.521326 0.853358i \(-0.325438\pi\)
\(620\) −33.1803 611.975i −0.00214928 0.0396412i
\(621\) −6403.27 14730.1i −0.413775 0.951848i
\(622\) −20959.4 5819.36i −1.35112 0.375137i
\(623\) −12845.7 + 9765.06i −0.826088 + 0.627976i
\(624\) −4146.73 10646.8i −0.266029 0.683036i
\(625\) −2400.19 8644.72i −0.153612 0.553262i
\(626\) 7234.39 + 7637.25i 0.461892 + 0.487613i
\(627\) 1112.71 + 453.372i 0.0708731 + 0.0288771i
\(628\) −535.572 + 890.127i −0.0340313 + 0.0565604i
\(629\) −4091.75 1893.05i −0.259378 0.120001i
\(630\) 385.975 24889.7i 0.0244089 1.57402i
\(631\) 8515.68 + 8066.48i 0.537249 + 0.508909i 0.907517 0.420016i \(-0.137976\pi\)
−0.370268 + 0.928925i \(0.620734\pi\)
\(632\) −801.523 + 1182.16i −0.0504476 + 0.0744046i
\(633\) 8213.22 + 7901.69i 0.515713 + 0.496151i
\(634\) −473.929 4357.71i −0.0296879 0.272976i
\(635\) −4266.82 7091.50i −0.266651 0.443178i
\(636\) −223.140 1430.47i −0.0139120 0.0891854i
\(637\) −1004.66 2981.72i −0.0624899 0.185463i
\(638\) −868.858 3947.26i −0.0539160 0.244943i
\(639\) −2819.50 30287.2i −0.174550 1.87503i
\(640\) 14306.0 + 12151.6i 0.883586 + 0.750525i
\(641\) −1599.02 262.146i −0.0985297 0.0161531i 0.112315 0.993673i \(-0.464173\pi\)
−0.210845 + 0.977519i \(0.567622\pi\)
\(642\) −1055.17 22718.3i −0.0648663 1.39661i
\(643\) 4177.88 + 10485.7i 0.256235 + 0.643102i 0.999670 0.0257068i \(-0.00818362\pi\)
−0.743434 + 0.668809i \(0.766804\pi\)
\(644\) 2326.48 + 783.883i 0.142354 + 0.0479648i
\(645\) −8903.90 + 11526.3i −0.543551 + 0.703639i
\(646\) 741.266 + 1602.22i 0.0451467 + 0.0975829i
\(647\) 25781.3 + 1397.82i 1.56656 + 0.0849366i 0.816859 0.576837i \(-0.195713\pi\)
0.749704 + 0.661773i \(0.230196\pi\)
\(648\) −10200.3 + 14083.5i −0.618374 + 0.853786i
\(649\) −2996.45 761.534i −0.181234 0.0460598i
\(650\) 17569.0i 1.06017i
\(651\) 2083.16 3021.73i 0.125416 0.181922i
\(652\) 2657.67 1229.57i 0.159635 0.0738552i
\(653\) −3405.12 + 31309.6i −0.204062 + 1.87632i 0.226851 + 0.973930i \(0.427157\pi\)
−0.430913 + 0.902393i \(0.641808\pi\)
\(654\) −16151.3 19316.4i −0.965699 1.15494i
\(655\) −28891.4 + 11511.4i −1.72348 + 0.686698i
\(656\) −11639.7 + 7891.90i −0.692764 + 0.469705i
\(657\) −7934.02 24812.3i −0.471135 1.47340i
\(658\) −10411.0 + 12256.8i −0.616813 + 0.726169i
\(659\) 1641.43 4119.68i 0.0970274 0.243520i −0.872449 0.488705i \(-0.837469\pi\)
0.969476 + 0.245185i \(0.0788487\pi\)
\(660\) 596.532 + 206.158i 0.0351818 + 0.0121586i
\(661\) −28028.2 + 9443.79i −1.64927 + 0.555705i −0.981963 0.189075i \(-0.939451\pi\)
−0.667311 + 0.744779i \(0.732555\pi\)
\(662\) 18415.9 + 21680.8i 1.08120 + 1.27288i
\(663\) 32.0734 4136.78i 0.00187878 0.242322i
\(664\) −4624.84 + 502.982i −0.270299 + 0.0293968i
\(665\) −2547.25 + 11572.3i −0.148539 + 0.674818i
\(666\) 2007.78 16130.1i 0.116817 0.938483i
\(667\) 17686.7 18671.6i 1.02673 1.08391i
\(668\) 920.575 + 488.058i 0.0533205 + 0.0282688i
\(669\) −25578.8 + 17054.9i −1.47823 + 0.985620i
\(670\) −32510.8 19561.1i −1.87463 1.12793i
\(671\) 642.602 105.349i 0.0369707 0.00606105i
\(672\) −1038.78 4899.88i −0.0596309 0.281275i
\(673\) 6340.53 1760.44i 0.363164 0.100832i −0.0811529 0.996702i \(-0.525860\pi\)
0.444317 + 0.895870i \(0.353446\pi\)
\(674\) −2755.12 + 3624.30i −0.157453 + 0.207126i
\(675\) 19487.6 12561.4i 1.11123 0.716282i
\(676\) −159.908 + 575.936i −0.00909808 + 0.0327683i
\(677\) −22853.3 + 12116.1i −1.29738 + 0.687827i −0.966699 0.255916i \(-0.917623\pi\)
−0.330680 + 0.943743i \(0.607278\pi\)
\(678\) 27515.8 + 14862.4i 1.55861 + 0.841869i
\(679\) −3058.52 + 165.828i −0.172865 + 0.00937246i
\(680\) 3759.56 + 7091.28i 0.212018 + 0.399909i
\(681\) 8184.37 + 8775.42i 0.460537 + 0.493796i
\(682\) −374.791 493.029i −0.0210432 0.0276819i
\(683\) 10512.7 + 7991.53i 0.588955 + 0.447712i 0.856727 0.515770i \(-0.172494\pi\)
−0.267772 + 0.963482i \(0.586287\pi\)
\(684\) 704.446 646.861i 0.0393789 0.0361598i
\(685\) 5990.88 5674.87i 0.334160 0.316534i
\(686\) −2319.56 14148.7i −0.129098 0.787462i
\(687\) 11603.7 + 22302.9i 0.644406 + 1.23859i
\(688\) 3768.25 8144.94i 0.208813 0.451342i
\(689\) −5034.29 + 9495.68i −0.278362 + 0.525046i
\(690\) −6950.62 25808.5i −0.383486 1.42393i
\(691\) −13487.4 9144.67i −0.742524 0.503444i 0.130302 0.991474i \(-0.458405\pi\)
−0.872827 + 0.488030i \(0.837716\pi\)
\(692\) −1976.96 435.162i −0.108602 0.0239052i
\(693\) 2072.33 + 3160.89i 0.113595 + 0.173265i
\(694\) −5887.54 + 3542.41i −0.322029 + 0.193758i
\(695\) 8687.41 7379.16i 0.474147 0.402744i
\(696\) −27146.5 6196.44i −1.47843 0.337465i
\(697\) −4972.63 + 1094.56i −0.270232 + 0.0594826i
\(698\) 23839.2 + 9498.40i 1.29273 + 0.515071i
\(699\) 174.410 + 531.205i 0.00943744 + 0.0287439i
\(700\) −573.326 + 3497.14i −0.0309567 + 0.188828i
\(701\) −6106.16 9005.92i −0.328997 0.485234i 0.626834 0.779153i \(-0.284351\pi\)
−0.955830 + 0.293919i \(0.905040\pi\)
\(702\) 14241.2 4432.39i 0.765671 0.238305i
\(703\) −2470.58 + 7332.41i −0.132546 + 0.393381i
\(704\) −3799.82 413.255i −0.203425 0.0221238i
\(705\) −26131.0 3047.09i −1.39596 0.162780i
\(706\) 346.432 6389.56i 0.0184676 0.340615i
\(707\) −20630.1 −1.09742
\(708\) −1566.38 + 1898.05i −0.0831469 + 0.100753i
\(709\) 11357.4 0.601602 0.300801 0.953687i \(-0.402746\pi\)
0.300801 + 0.953687i \(0.402746\pi\)
\(710\) 2740.43 50544.2i 0.144854 2.67168i
\(711\) −1271.67 998.188i −0.0670766 0.0526512i
\(712\) 18648.0 + 2028.09i 0.981547 + 0.106750i
\(713\) 1258.31 3734.52i 0.0660925 0.196156i
\(714\) −940.899 + 5473.10i −0.0493169 + 0.286870i
\(715\) −2629.38 3878.05i −0.137529 0.202840i
\(716\) −372.044 + 2269.37i −0.0194189 + 0.118450i
\(717\) 7314.32 2401.50i 0.380974 0.125085i
\(718\) −2723.66 1085.21i −0.141568 0.0564060i
\(719\) −29897.5 + 6580.94i −1.55075 + 0.341346i −0.906077 0.423114i \(-0.860937\pi\)
−0.644672 + 0.764459i \(0.723006\pi\)
\(720\) −17536.0 + 17946.8i −0.907677 + 0.928940i
\(721\) 19953.4 16948.6i 1.03066 0.875448i
\(722\) −12903.4 + 7763.70i −0.665116 + 0.400187i
\(723\) −4350.34 + 9214.95i −0.223777 + 0.474008i
\(724\) −3647.48 802.872i −0.187234 0.0412134i
\(725\) 30728.1 + 20834.2i 1.57409 + 1.06726i
\(726\) −16995.9 + 4577.26i −0.868839 + 0.233992i
\(727\) −11426.7 + 21553.0i −0.582933 + 1.09953i 0.400164 + 0.916443i \(0.368953\pi\)
−0.983097 + 0.183085i \(0.941392\pi\)
\(728\) −8285.01 + 17907.8i −0.421790 + 0.911684i
\(729\) −15098.6 12627.4i −0.767090 0.641539i
\(730\) −7013.16 42778.4i −0.355574 2.16890i
\(731\) 2358.99 2234.55i 0.119357 0.113061i
\(732\) 142.534 498.339i 0.00719699 0.0251628i
\(733\) 8764.47 + 6662.57i 0.441641 + 0.335727i 0.802248 0.596991i \(-0.203637\pi\)
−0.360607 + 0.932718i \(0.617430\pi\)
\(734\) 12837.5 + 16887.4i 0.645558 + 0.849217i
\(735\) −5053.12 + 4712.78i −0.253588 + 0.236508i
\(736\) −2519.14 4751.60i −0.126164 0.237971i
\(737\) 5752.57 311.895i 0.287515 0.0155886i
\(738\) −9219.17 15874.5i −0.459840 0.791799i
\(739\) 4536.82 2405.27i 0.225832 0.119728i −0.351651 0.936131i \(-0.614380\pi\)
0.577483 + 0.816403i \(0.304035\pi\)
\(740\) −1087.34 + 3916.25i −0.0540155 + 0.194546i
\(741\) −7063.92 + 712.879i −0.350202 + 0.0353418i
\(742\) 8731.25 11485.8i 0.431987 0.568269i
\(743\) 25115.4 6973.25i 1.24010 0.344312i 0.415273 0.909697i \(-0.363686\pi\)
0.824827 + 0.565385i \(0.191272\pi\)
\(744\) −4173.82 + 884.857i −0.205672 + 0.0436027i
\(745\) 48196.5 7901.41i 2.37018 0.388571i
\(746\) −21404.3 12878.6i −1.05049 0.632061i
\(747\) −203.517 5261.76i −0.00996828 0.257721i
\(748\) −124.403 65.9544i −0.00608105 0.00322397i
\(749\) −23419.8 + 24723.9i −1.14251 + 1.20613i
\(750\) 8560.82 3880.36i 0.416796 0.188921i
\(751\) −2149.88 + 9767.01i −0.104461 + 0.474572i 0.895125 + 0.445815i \(0.147086\pi\)
−0.999586 + 0.0287570i \(0.990845\pi\)
\(752\) 16115.2 1752.63i 0.781463 0.0849892i
\(753\) −17460.5 135.376i −0.845016 0.00655161i
\(754\) 15461.3 + 18202.4i 0.746773 + 0.879169i
\(755\) −39993.0 + 13475.2i −1.92781 + 0.649554i
\(756\) 2979.39 417.543i 0.143333 0.0200872i
\(757\) 12289.5 30844.4i 0.590054 1.48092i −0.265967 0.963982i \(-0.585691\pi\)
0.856021 0.516941i \(-0.172929\pi\)
\(758\) −2182.49 + 2569.43i −0.104580 + 0.123121i
\(759\) 3072.64 + 2651.21i 0.146943 + 0.126789i
\(760\) 11401.2 7730.20i 0.544164 0.368952i
\(761\) −68.2768 + 27.2040i −0.00325234 + 0.00129585i −0.371764 0.928327i \(-0.621247\pi\)
0.368511 + 0.929623i \(0.379868\pi\)
\(762\) −5106.82 + 4270.06i −0.242783 + 0.203002i
\(763\) −4076.44 + 37482.3i −0.193417 + 1.77844i
\(764\) −3926.58 + 1816.63i −0.185940 + 0.0860252i
\(765\) −8303.35 + 3686.33i −0.392429 + 0.174221i
\(766\) 6263.83i 0.295459i
\(767\) 17751.2 4317.92i 0.835670 0.203274i
\(768\) −4277.88 + 6986.69i −0.200996 + 0.328269i
\(769\) 35029.4 + 1899.24i 1.64264 + 0.0890616i 0.852112 0.523359i \(-0.175321\pi\)
0.790532 + 0.612421i \(0.209804\pi\)
\(770\) 2640.97 + 5708.36i 0.123603 + 0.267163i
\(771\) 20002.0 + 15451.2i 0.934310 + 0.721742i
\(772\) −4759.74 1603.74i −0.221900 0.0747667i
\(773\) −10244.7