Properties

Label 177.4.e.b.4.10
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.10
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.10

$q$-expansion

\(f(q)\) \(=\) \(q+(2.00109 + 0.217632i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-3.85597 - 0.848763i) q^{4} +(-3.87099 - 2.94265i) q^{5} +(4.38404 - 4.15279i) q^{6} +(5.75041 - 14.4324i) q^{7} +(-22.7916 - 7.67938i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(2.00109 + 0.217632i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-3.85597 - 0.848763i) q^{4} +(-3.87099 - 2.94265i) q^{5} +(4.38404 - 4.15279i) q^{6} +(5.75041 - 14.4324i) q^{7} +(-22.7916 - 7.67938i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-7.10578 - 6.73095i) q^{10} +(-55.5415 + 25.6962i) q^{11} +(-9.42959 + 7.16819i) q^{12} +(-6.50110 + 39.6549i) q^{13} +(14.6480 - 27.6291i) q^{14} +(-14.2464 + 3.13587i) q^{15} +(-15.2698 - 7.06458i) q^{16} +(-12.6125 - 31.6550i) q^{17} +(-0.980780 - 18.0894i) q^{18} +(-32.7981 - 48.3736i) q^{19} +(12.4288 + 14.6323i) q^{20} +(-21.8314 - 41.1783i) q^{21} +(-116.736 + 39.3329i) q^{22} +(7.86701 - 145.099i) q^{23} +(-61.8237 + 37.1981i) q^{24} +(-27.1157 - 97.6618i) q^{25} +(-21.6394 + 77.9382i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(-34.4231 + 50.7703i) q^{28} +(57.7340 - 6.27895i) q^{29} +(-29.1908 + 3.17469i) q^{30} +(-20.3860 + 30.0671i) q^{31} +(135.844 + 81.7348i) q^{32} +(-49.1163 + 176.901i) q^{33} +(-18.3496 - 66.0893i) q^{34} +(-64.7294 + 38.9464i) q^{35} +(-1.92380 + 35.4824i) q^{36} +(183.478 - 61.8210i) q^{37} +(-55.1043 - 103.938i) q^{38} +(78.0443 + 91.8809i) q^{39} +(65.6282 + 96.7944i) q^{40} +(-7.42872 - 137.015i) q^{41} +(-34.7248 - 87.1527i) q^{42} +(43.8662 + 20.2947i) q^{43} +(235.976 - 51.9423i) q^{44} +(-20.4986 + 38.6646i) q^{45} +(47.3206 - 288.643i) q^{46} +(-154.726 + 117.620i) q^{47} +(-45.8095 + 21.1937i) q^{48} +(73.7882 + 69.8959i) q^{49} +(-33.0066 - 201.331i) q^{50} +(-96.8741 - 32.6407i) q^{51} +(58.7257 - 147.390i) q^{52} +(-214.196 + 202.897i) q^{53} +(-43.2661 - 32.8900i) q^{54} +(290.615 + 63.9693i) q^{55} +(-241.893 + 284.779i) q^{56} +(-174.305 - 18.9568i) q^{57} +116.897 q^{58} +(37.1557 - 451.662i) q^{59} +57.5953 q^{60} +(48.6850 + 5.29481i) q^{61} +(-47.3377 + 55.7303i) q^{62} +(-136.554 - 30.0577i) q^{63} +(361.202 + 274.578i) q^{64} +(141.856 - 134.373i) q^{65} +(-136.785 + 343.305i) q^{66} +(277.967 + 93.6579i) q^{67} +(21.7658 + 132.766i) q^{68} +(-316.487 - 299.792i) q^{69} +(-138.005 + 63.8480i) q^{70} +(-111.705 + 84.9159i) q^{71} +(-35.0185 + 213.604i) q^{72} +(482.360 - 909.827i) q^{73} +(380.610 - 83.7787i) q^{74} +(-275.965 - 127.675i) q^{75} +(85.4108 + 214.365i) q^{76} +(51.4730 + 949.363i) q^{77} +(136.177 + 200.847i) q^{78} +(95.1092 + 111.971i) q^{79} +(38.3208 + 72.2807i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(14.9532 - 275.795i) q^{82} +(-410.652 + 247.081i) q^{83} +(49.2305 + 177.312i) q^{84} +(-44.3266 + 159.650i) q^{85} +(83.3635 + 50.1581i) q^{86} +(97.7718 - 144.203i) q^{87} +(1463.21 - 159.134i) q^{88} +(312.065 - 33.9392i) q^{89} +(-49.4343 + 72.9101i) q^{90} +(534.934 + 321.859i) q^{91} +(-153.489 + 552.818i) q^{92} +(29.1552 + 105.007i) q^{93} +(-335.219 + 201.695i) q^{94} +(-15.3854 + 283.767i) q^{95} +(450.717 - 151.864i) q^{96} +(-359.128 - 677.388i) q^{97} +(132.445 + 155.927i) q^{98} +(309.090 + 455.873i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.00109 + 0.217632i 0.707492 + 0.0769444i 0.454789 0.890599i \(-0.349715\pi\)
0.252703 + 0.967544i \(0.418680\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) −3.85597 0.848763i −0.481996 0.106095i
\(5\) −3.87099 2.94265i −0.346232 0.263199i 0.417576 0.908642i \(-0.362880\pi\)
−0.763808 + 0.645443i \(0.776673\pi\)
\(6\) 4.38404 4.15279i 0.298296 0.282561i
\(7\) 5.75041 14.4324i 0.310493 0.779279i −0.688068 0.725646i \(-0.741541\pi\)
0.998561 0.0536323i \(-0.0170799\pi\)
\(8\) −22.7916 7.67938i −1.00726 0.339384i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −7.10578 6.73095i −0.224704 0.212851i
\(11\) −55.5415 + 25.6962i −1.52240 + 0.704337i −0.989857 0.142067i \(-0.954625\pi\)
−0.532541 + 0.846404i \(0.678763\pi\)
\(12\) −9.42959 + 7.16819i −0.226841 + 0.172440i
\(13\) −6.50110 + 39.6549i −0.138698 + 0.846023i 0.822215 + 0.569176i \(0.192738\pi\)
−0.960914 + 0.276847i \(0.910710\pi\)
\(14\) 14.6480 27.6291i 0.279632 0.527443i
\(15\) −14.2464 + 3.13587i −0.245227 + 0.0539785i
\(16\) −15.2698 7.06458i −0.238591 0.110384i
\(17\) −12.6125 31.6550i −0.179940 0.451615i 0.811145 0.584845i \(-0.198845\pi\)
−0.991085 + 0.133230i \(0.957465\pi\)
\(18\) −0.980780 18.0894i −0.0128429 0.236873i
\(19\) −32.7981 48.3736i −0.396021 0.584088i 0.576444 0.817137i \(-0.304440\pi\)
−0.972465 + 0.233049i \(0.925130\pi\)
\(20\) 12.4288 + 14.6323i 0.138958 + 0.163594i
\(21\) −21.8314 41.1783i −0.226857 0.427898i
\(22\) −116.736 + 39.3329i −1.13128 + 0.381172i
\(23\) 7.86701 145.099i 0.0713211 1.31544i −0.715654 0.698455i \(-0.753871\pi\)
0.786975 0.616985i \(-0.211646\pi\)
\(24\) −61.8237 + 37.1981i −0.525821 + 0.316376i
\(25\) −27.1157 97.6618i −0.216925 0.781295i
\(26\) −21.6394 + 77.9382i −0.163225 + 0.587883i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) −34.4231 + 50.7703i −0.232334 + 0.342668i
\(29\) 57.7340 6.27895i 0.369687 0.0402059i 0.0786099 0.996905i \(-0.474952\pi\)
0.291077 + 0.956700i \(0.405986\pi\)
\(30\) −29.1908 + 3.17469i −0.177649 + 0.0193205i
\(31\) −20.3860 + 30.0671i −0.118111 + 0.174200i −0.882149 0.470971i \(-0.843904\pi\)
0.764038 + 0.645171i \(0.223214\pi\)
\(32\) 135.844 + 81.7348i 0.750441 + 0.451525i
\(33\) −49.1163 + 176.901i −0.259092 + 0.933167i
\(34\) −18.3496 66.0893i −0.0925568 0.333359i
\(35\) −64.7294 + 38.9464i −0.312608 + 0.188090i
\(36\) −1.92380 + 35.4824i −0.00890648 + 0.164270i
\(37\) 183.478 61.8210i 0.815233 0.274684i 0.119362 0.992851i \(-0.461915\pi\)
0.695871 + 0.718167i \(0.255019\pi\)
\(38\) −55.1043 103.938i −0.235240 0.443709i
\(39\) 78.0443 + 91.8809i 0.320438 + 0.377249i
\(40\) 65.6282 + 96.7944i 0.259418 + 0.382614i
\(41\) −7.42872 137.015i −0.0282969 0.521905i −0.977981 0.208695i \(-0.933078\pi\)
0.949684 0.313210i \(-0.101404\pi\)
\(42\) −34.7248 87.1527i −0.127575 0.320189i
\(43\) 43.8662 + 20.2947i 0.155571 + 0.0719746i 0.496129 0.868249i \(-0.334754\pi\)
−0.340559 + 0.940223i \(0.610616\pi\)
\(44\) 235.976 51.9423i 0.808517 0.177968i
\(45\) −20.4986 + 38.6646i −0.0679057 + 0.128084i
\(46\) 47.3206 288.643i 0.151675 0.925176i
\(47\) −154.726 + 117.620i −0.480195 + 0.365035i −0.817092 0.576507i \(-0.804415\pi\)
0.336898 + 0.941541i \(0.390622\pi\)
\(48\) −45.8095 + 21.1937i −0.137751 + 0.0637302i
\(49\) 73.7882 + 69.8959i 0.215126 + 0.203778i
\(50\) −33.0066 201.331i −0.0933567 0.569451i
\(51\) −96.8741 32.6407i −0.265982 0.0896198i
\(52\) 58.7257 147.390i 0.156611 0.393065i
\(53\) −214.196 + 202.897i −0.555134 + 0.525850i −0.913020 0.407915i \(-0.866256\pi\)
0.357886 + 0.933765i \(0.383497\pi\)
\(54\) −43.2661 32.8900i −0.109033 0.0828845i
\(55\) 290.615 + 63.9693i 0.712483 + 0.156829i
\(56\) −241.893 + 284.779i −0.577220 + 0.679556i
\(57\) −174.305 18.9568i −0.405039 0.0440507i
\(58\) 116.897 0.264644
\(59\) 37.1557 451.662i 0.0819874 0.996633i
\(60\) 57.5953 0.123925
\(61\) 48.6850 + 5.29481i 0.102188 + 0.0111136i 0.159070 0.987267i \(-0.449150\pi\)
−0.0568821 + 0.998381i \(0.518116\pi\)
\(62\) −47.3377 + 55.7303i −0.0969661 + 0.114157i
\(63\) −136.554 30.0577i −0.273082 0.0601098i
\(64\) 361.202 + 274.578i 0.705472 + 0.536286i
\(65\) 141.856 134.373i 0.270694 0.256415i
\(66\) −136.785 + 343.305i −0.255108 + 0.640272i
\(67\) 277.967 + 93.6579i 0.506851 + 0.170778i 0.561098 0.827749i \(-0.310379\pi\)
−0.0542465 + 0.998528i \(0.517276\pi\)
\(68\) 21.7658 + 132.766i 0.0388161 + 0.236768i
\(69\) −316.487 299.792i −0.552182 0.523054i
\(70\) −138.005 + 63.8480i −0.235640 + 0.109019i
\(71\) −111.705 + 84.9159i −0.186717 + 0.141939i −0.694357 0.719631i \(-0.744311\pi\)
0.507640 + 0.861569i \(0.330518\pi\)
\(72\) −35.0185 + 213.604i −0.0573191 + 0.349631i
\(73\) 482.360 909.827i 0.773369 1.45873i −0.111935 0.993715i \(-0.535705\pi\)
0.885304 0.465013i \(-0.153950\pi\)
\(74\) 380.610 83.7787i 0.597906 0.131609i
\(75\) −275.965 127.675i −0.424876 0.196569i
\(76\) 85.4108 + 214.365i 0.128912 + 0.323544i
\(77\) 51.4730 + 949.363i 0.0761804 + 1.40506i
\(78\) 136.177 + 200.847i 0.197680 + 0.291557i
\(79\) 95.1092 + 111.971i 0.135451 + 0.159465i 0.825705 0.564101i \(-0.190777\pi\)
−0.690255 + 0.723567i \(0.742501\pi\)
\(80\) 38.3208 + 72.2807i 0.0535549 + 0.101015i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 14.9532 275.795i 0.0201378 0.371421i
\(83\) −410.652 + 247.081i −0.543072 + 0.326755i −0.760518 0.649317i \(-0.775055\pi\)
0.217446 + 0.976072i \(0.430227\pi\)
\(84\) 49.2305 + 177.312i 0.0639462 + 0.230314i
\(85\) −44.3266 + 159.650i −0.0565635 + 0.203723i
\(86\) 83.3635 + 50.1581i 0.104527 + 0.0628917i
\(87\) 97.7718 144.203i 0.120485 0.177703i
\(88\) 1463.21 159.134i 1.77248 0.192769i
\(89\) 312.065 33.9392i 0.371673 0.0404218i 0.0796231 0.996825i \(-0.474628\pi\)
0.292050 + 0.956403i \(0.405663\pi\)
\(90\) −49.4343 + 72.9101i −0.0578981 + 0.0853933i
\(91\) 534.934 + 321.859i 0.616223 + 0.370769i
\(92\) −153.489 + 552.818i −0.173939 + 0.626471i
\(93\) 29.1552 + 105.007i 0.0325080 + 0.117083i
\(94\) −335.219 + 201.695i −0.367821 + 0.221311i
\(95\) −15.3854 + 283.767i −0.0166159 + 0.306462i
\(96\) 450.717 151.864i 0.479178 0.161454i
\(97\) −359.128 677.388i −0.375917 0.709055i 0.621303 0.783571i \(-0.286604\pi\)
−0.997220 + 0.0745159i \(0.976259\pi\)
\(98\) 132.445 + 155.927i 0.136520 + 0.160724i
\(99\) 309.090 + 455.873i 0.313785 + 0.462798i
\(100\) 21.6655 + 399.596i 0.0216655 + 0.399596i
\(101\) −137.678 345.545i −0.135638 0.340426i 0.845431 0.534085i \(-0.179344\pi\)
−0.981069 + 0.193659i \(0.937965\pi\)
\(102\) −186.750 86.3998i −0.181284 0.0838711i
\(103\) 932.419 205.241i 0.891980 0.196340i 0.254744 0.967008i \(-0.418009\pi\)
0.637236 + 0.770669i \(0.280078\pi\)
\(104\) 452.696 853.875i 0.426831 0.805090i
\(105\) −36.6644 + 223.643i −0.0340769 + 0.207860i
\(106\) −472.782 + 359.400i −0.433214 + 0.329320i
\(107\) −1297.91 + 600.476i −1.17265 + 0.542525i −0.906830 0.421497i \(-0.861505\pi\)
−0.265820 + 0.964023i \(0.585643\pi\)
\(108\) 77.3937 + 73.3112i 0.0689557 + 0.0653183i
\(109\) −92.6785 565.314i −0.0814403 0.496764i −0.995777 0.0918082i \(-0.970735\pi\)
0.914336 0.404955i \(-0.132713\pi\)
\(110\) 567.625 + 191.255i 0.492009 + 0.165777i
\(111\) 214.991 539.586i 0.183838 0.461399i
\(112\) −189.767 + 179.757i −0.160101 + 0.151656i
\(113\) −1666.94 1267.17i −1.38772 1.05492i −0.990547 0.137170i \(-0.956199\pi\)
−0.397170 0.917745i \(-0.630008\pi\)
\(114\) −344.674 75.8684i −0.283172 0.0623310i
\(115\) −457.427 + 538.525i −0.370916 + 0.436676i
\(116\) −227.950 24.7910i −0.182453 0.0198430i
\(117\) 361.659 0.285772
\(118\) 172.648 895.729i 0.134691 0.698802i
\(119\) −529.386 −0.407804
\(120\) 348.780 + 37.9321i 0.265326 + 0.0288559i
\(121\) 1562.89 1839.97i 1.17422 1.38240i
\(122\) 96.2706 + 21.1908i 0.0714421 + 0.0157256i
\(123\) −327.710 249.119i −0.240233 0.182620i
\(124\) 104.128 98.6349i 0.0754108 0.0714329i
\(125\) −407.394 + 1022.48i −0.291507 + 0.731628i
\(126\) −266.715 89.8666i −0.188578 0.0635393i
\(127\) 332.490 + 2028.10i 0.232312 + 1.41704i 0.803050 + 0.595911i \(0.203209\pi\)
−0.570738 + 0.821132i \(0.693343\pi\)
\(128\) −257.742 244.146i −0.177980 0.168591i
\(129\) 131.599 60.8840i 0.0898187 0.0415546i
\(130\) 313.111 238.021i 0.211243 0.160583i
\(131\) −116.064 + 707.961i −0.0774091 + 0.472174i 0.919465 + 0.393171i \(0.128622\pi\)
−0.996874 + 0.0790032i \(0.974826\pi\)
\(132\) 339.538 640.437i 0.223886 0.422294i
\(133\) −886.752 + 195.189i −0.578129 + 0.127256i
\(134\) 535.853 + 247.912i 0.345453 + 0.159824i
\(135\) 48.5943 + 121.963i 0.0309803 + 0.0777546i
\(136\) 44.3682 + 818.323i 0.0279746 + 0.515960i
\(137\) 1267.31 + 1869.15i 0.790320 + 1.16564i 0.982861 + 0.184346i \(0.0590167\pi\)
−0.192541 + 0.981289i \(0.561673\pi\)
\(138\) −568.074 668.788i −0.350418 0.412544i
\(139\) −552.599 1042.31i −0.337200 0.636027i 0.655694 0.755027i \(-0.272376\pi\)
−0.992894 + 0.119000i \(0.962031\pi\)
\(140\) 282.651 95.2362i 0.170631 0.0574923i
\(141\) −31.5668 + 582.216i −0.0188540 + 0.347741i
\(142\) −242.012 + 145.614i −0.143022 + 0.0860538i
\(143\) −657.902 2369.55i −0.384731 1.38568i
\(144\) −40.5102 + 145.904i −0.0234434 + 0.0844354i
\(145\) −241.964 145.585i −0.138580 0.0833806i
\(146\) 1163.25 1715.67i 0.659393 0.972532i
\(147\) 303.125 32.9668i 0.170077 0.0184970i
\(148\) −759.958 + 82.6504i −0.422082 + 0.0459042i
\(149\) −681.052 + 1004.48i −0.374456 + 0.552281i −0.967494 0.252893i \(-0.918618\pi\)
0.593038 + 0.805174i \(0.297928\pi\)
\(150\) −524.445 315.548i −0.285472 0.171763i
\(151\) 790.466 2847.00i 0.426008 1.53434i −0.369986 0.929037i \(-0.620638\pi\)
0.795994 0.605304i \(-0.206949\pi\)
\(152\) 376.042 + 1354.38i 0.200665 + 0.722729i
\(153\) −262.777 + 158.108i −0.138852 + 0.0835442i
\(154\) −103.609 + 1910.96i −0.0542148 + 0.999933i
\(155\) 167.391 56.4005i 0.0867429 0.0292271i
\(156\) −222.951 420.531i −0.114426 0.215830i
\(157\) −1950.71 2296.55i −0.991616 1.16742i −0.985883 0.167437i \(-0.946451\pi\)
−0.00573295 0.999984i \(-0.501825\pi\)
\(158\) 165.954 + 244.763i 0.0835605 + 0.123243i
\(159\) 47.9190 + 883.815i 0.0239008 + 0.440824i
\(160\) −285.335 716.137i −0.140986 0.353847i
\(161\) −2048.89 947.916i −1.00295 0.464014i
\(162\) −159.232 + 35.0496i −0.0772250 + 0.0169985i
\(163\) −918.405 + 1732.30i −0.441319 + 0.832416i 0.558676 + 0.829386i \(0.311309\pi\)
−0.999995 + 0.00303050i \(0.999035\pi\)
\(164\) −87.6481 + 534.630i −0.0417327 + 0.254558i
\(165\) 710.686 540.249i 0.335314 0.254899i
\(166\) −875.525 + 405.061i −0.409361 + 0.189390i
\(167\) −3028.88 2869.11i −1.40348 1.32945i −0.878010 0.478643i \(-0.841129\pi\)
−0.525475 0.850809i \(-0.676112\pi\)
\(168\) 181.348 + 1106.17i 0.0832813 + 0.507994i
\(169\) 551.743 + 185.904i 0.251135 + 0.0846172i
\(170\) −123.446 + 309.827i −0.0556936 + 0.139780i
\(171\) −381.872 + 361.728i −0.170775 + 0.161766i
\(172\) −151.921 115.488i −0.0673483 0.0511968i
\(173\) −863.266 190.019i −0.379381 0.0835081i 0.0211860 0.999776i \(-0.493256\pi\)
−0.400567 + 0.916267i \(0.631187\pi\)
\(174\) 227.033 267.284i 0.0989157 0.116453i
\(175\) −1565.43 170.250i −0.676200 0.0735412i
\(176\) 1029.64 0.440978
\(177\) −960.556 962.155i −0.407909 0.408588i
\(178\) 631.857 0.266066
\(179\) −3159.66 343.633i −1.31935 0.143488i −0.578790 0.815477i \(-0.696475\pi\)
−0.740562 + 0.671989i \(0.765440\pi\)
\(180\) 111.859 131.691i 0.0463194 0.0545314i
\(181\) 3641.94 + 801.652i 1.49560 + 0.329206i 0.886068 0.463556i \(-0.153427\pi\)
0.609531 + 0.792762i \(0.291358\pi\)
\(182\) 1000.40 + 760.487i 0.407444 + 0.309731i
\(183\) 106.660 101.034i 0.0430851 0.0408123i
\(184\) −1293.57 + 3246.61i −0.518278 + 1.30078i
\(185\) −892.159 300.603i −0.354556 0.119464i
\(186\) 35.4891 + 216.474i 0.0139903 + 0.0853369i
\(187\) 1513.93 + 1434.07i 0.592029 + 0.560800i
\(188\) 696.452 322.213i 0.270181 0.124999i
\(189\) −333.936 + 253.851i −0.128520 + 0.0976982i
\(190\) −92.5442 + 564.495i −0.0353361 + 0.215541i
\(191\) 1656.04 3123.63i 0.627367 1.18334i −0.342456 0.939534i \(-0.611259\pi\)
0.969824 0.243807i \(-0.0783963\pi\)
\(192\) 1329.33 292.608i 0.499668 0.109985i
\(193\) −2725.11 1260.77i −1.01636 0.470218i −0.160286 0.987071i \(-0.551242\pi\)
−0.856075 + 0.516852i \(0.827104\pi\)
\(194\) −571.227 1433.67i −0.211400 0.530575i
\(195\) −31.7355 585.327i −0.0116545 0.214955i
\(196\) −225.200 332.145i −0.0820700 0.121044i
\(197\) 1845.30 + 2172.46i 0.667372 + 0.785691i 0.986804 0.161918i \(-0.0517681\pi\)
−0.319432 + 0.947609i \(0.603492\pi\)
\(198\) 519.304 + 979.511i 0.186391 + 0.351570i
\(199\) −2737.67 + 922.430i −0.975219 + 0.328590i −0.761399 0.648284i \(-0.775487\pi\)
−0.213820 + 0.976873i \(0.568591\pi\)
\(200\) −131.973 + 2434.10i −0.0466595 + 0.860584i
\(201\) 754.003 453.669i 0.264593 0.159201i
\(202\) −200.304 721.430i −0.0697691 0.251285i
\(203\) 241.373 869.349i 0.0834537 0.300573i
\(204\) 345.839 + 208.085i 0.118694 + 0.0714159i
\(205\) −374.430 + 552.242i −0.127567 + 0.188148i
\(206\) 1910.52 207.782i 0.646176 0.0702759i
\(207\) −1300.14 + 141.399i −0.436550 + 0.0474777i
\(208\) 379.416 559.597i 0.126480 0.186544i
\(209\) 3064.67 + 1843.95i 1.01430 + 0.610282i
\(210\) −122.040 + 439.550i −0.0401028 + 0.144437i
\(211\) −1182.47 4258.86i −0.385803 1.38954i −0.860529 0.509402i \(-0.829867\pi\)
0.474726 0.880133i \(-0.342547\pi\)
\(212\) 998.145 600.564i 0.323363 0.194561i
\(213\) −22.7897 + 420.332i −0.00733111 + 0.135214i
\(214\) −2727.91 + 919.141i −0.871384 + 0.293604i
\(215\) −110.086 207.643i −0.0349199 0.0658659i
\(216\) 420.390 + 494.921i 0.132426 + 0.155903i
\(217\) 316.714 + 467.118i 0.0990780 + 0.146129i
\(218\) −62.4278 1151.41i −0.0193952 0.357723i
\(219\) −1143.49 2869.94i −0.352830 0.885536i
\(220\) −1066.31 493.327i −0.326775 0.151182i
\(221\) 1337.27 294.356i 0.407034 0.0895950i
\(222\) 547.647 1032.97i 0.165566 0.312291i
\(223\) −263.282 + 1605.95i −0.0790613 + 0.482252i 0.917384 + 0.398004i \(0.130297\pi\)
−0.996445 + 0.0842481i \(0.973151\pi\)
\(224\) 1960.79 1490.56i 0.584871 0.444607i
\(225\) −827.896 + 383.026i −0.245303 + 0.113489i
\(226\) −3059.91 2898.50i −0.900629 0.853121i
\(227\) 424.904 + 2591.80i 0.124237 + 0.757814i 0.973303 + 0.229526i \(0.0737175\pi\)
−0.849065 + 0.528288i \(0.822834\pi\)
\(228\) 656.024 + 221.040i 0.190554 + 0.0642050i
\(229\) −560.280 + 1406.20i −0.161678 + 0.405782i −0.987389 0.158311i \(-0.949395\pi\)
0.825711 + 0.564094i \(0.190774\pi\)
\(230\) −1032.55 + 978.086i −0.296020 + 0.280405i
\(231\) 2270.67 + 1726.12i 0.646751 + 0.491647i
\(232\) −1364.07 300.254i −0.386015 0.0849682i
\(233\) 2317.91 2728.86i 0.651723 0.767268i −0.332710 0.943029i \(-0.607963\pi\)
0.984433 + 0.175761i \(0.0562387\pi\)
\(234\) 723.712 + 78.7084i 0.202182 + 0.0219886i
\(235\) 945.058 0.262335
\(236\) −526.625 + 1710.06i −0.145256 + 0.471675i
\(237\) 440.738 0.120798
\(238\) −1059.35 115.211i −0.288518 0.0313782i
\(239\) 1366.33 1608.57i 0.369793 0.435354i −0.545520 0.838098i \(-0.683668\pi\)
0.915313 + 0.402744i \(0.131944\pi\)
\(240\) 239.694 + 52.7606i 0.0644674 + 0.0141903i
\(241\) 4359.27 + 3313.83i 1.16517 + 0.885737i 0.995019 0.0996818i \(-0.0317825\pi\)
0.170147 + 0.985419i \(0.445576\pi\)
\(242\) 3527.91 3341.82i 0.937120 0.887687i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −183.234 61.7386i −0.0480751 0.0161984i
\(245\) −79.9542 487.699i −0.0208493 0.127175i
\(246\) −601.561 569.828i −0.155911 0.147687i
\(247\) 2131.48 986.126i 0.549079 0.254031i
\(248\) 695.526 528.725i 0.178088 0.135379i
\(249\) −232.604 + 1418.82i −0.0591995 + 0.361101i
\(250\) −1037.76 + 1957.41i −0.262534 + 0.495191i
\(251\) 3604.98 793.515i 0.906550 0.199547i 0.262861 0.964834i \(-0.415334\pi\)
0.643689 + 0.765287i \(0.277403\pi\)
\(252\) 501.035 + 231.804i 0.125247 + 0.0579454i
\(253\) 3291.54 + 8261.14i 0.817934 + 2.05286i
\(254\) 223.963 + 4130.76i 0.0553257 + 1.02042i
\(255\) 278.948 + 411.418i 0.0685036 + 0.101035i
\(256\) −2812.48 3311.10i −0.686640 0.808375i
\(257\) 2928.02 + 5522.83i 0.710680 + 1.34048i 0.930986 + 0.365054i \(0.118950\pi\)
−0.220306 + 0.975431i \(0.570706\pi\)
\(258\) 276.591 93.1943i 0.0667434 0.0224885i
\(259\) 162.847 3003.53i 0.0390688 0.720581i
\(260\) −661.045 + 397.737i −0.157678 + 0.0948717i
\(261\) −139.829 503.618i −0.0331617 0.119437i
\(262\) −386.330 + 1391.43i −0.0910974 + 0.328103i
\(263\) 2927.41 + 1761.37i 0.686358 + 0.412968i 0.815577 0.578648i \(-0.196420\pi\)
−0.129219 + 0.991616i \(0.541247\pi\)
\(264\) 2477.93 3654.67i 0.577674 0.852005i
\(265\) 1426.21 155.109i 0.330608 0.0359558i
\(266\) −1816.95 + 197.605i −0.418813 + 0.0455487i
\(267\) 528.479 779.448i 0.121133 0.178657i
\(268\) −992.338 597.070i −0.226182 0.136089i
\(269\) 539.627 1943.56i 0.122311 0.440525i −0.876881 0.480707i \(-0.840380\pi\)
0.999192 + 0.0401824i \(0.0127939\pi\)
\(270\) 70.6987 + 254.634i 0.0159355 + 0.0573945i
\(271\) −2732.59 + 1644.14i −0.612519 + 0.368541i −0.787758 0.615985i \(-0.788758\pi\)
0.175238 + 0.984526i \(0.443930\pi\)
\(272\) −31.0383 + 572.468i −0.00691902 + 0.127614i
\(273\) 1774.85 598.018i 0.393476 0.132578i
\(274\) 2129.22 + 4016.14i 0.469456 + 0.885488i
\(275\) 4015.58 + 4727.51i 0.880541 + 1.03665i
\(276\) 965.911 + 1424.61i 0.210656 + 0.310694i
\(277\) 393.750 + 7262.30i 0.0854086 + 1.57527i 0.656464 + 0.754357i \(0.272051\pi\)
−0.571056 + 0.820911i \(0.693466\pi\)
\(278\) −878.959 2206.02i −0.189628 0.475929i
\(279\) 296.722 + 137.278i 0.0636712 + 0.0294574i
\(280\) 1774.37 390.568i 0.378710 0.0833604i
\(281\) 207.683 391.732i 0.0440901 0.0831628i −0.860488 0.509471i \(-0.829841\pi\)
0.904578 + 0.426308i \(0.140186\pi\)
\(282\) −189.877 + 1158.20i −0.0400957 + 0.244573i
\(283\) 3059.17 2325.52i 0.642574 0.488472i −0.232414 0.972617i \(-0.574662\pi\)
0.874988 + 0.484145i \(0.160869\pi\)
\(284\) 502.804 232.622i 0.105056 0.0486042i
\(285\) 618.949 + 586.299i 0.128643 + 0.121857i
\(286\) −800.832 4884.86i −0.165574 1.00996i
\(287\) −2020.17 680.676i −0.415495 0.139997i
\(288\) 528.128 1325.50i 0.108056 0.271201i
\(289\) 2723.85 2580.17i 0.554418 0.525172i
\(290\) −452.508 343.988i −0.0916282 0.0696540i
\(291\) −2246.32 494.453i −0.452514 0.0996060i
\(292\) −2632.19 + 3098.86i −0.527525 + 0.621051i
\(293\) −3127.10 340.092i −0.623505 0.0678103i −0.209087 0.977897i \(-0.567049\pi\)
−0.414418 + 0.910087i \(0.636015\pi\)
\(294\) 613.754 0.121751
\(295\) −1472.91 + 1639.04i −0.290699 + 0.323487i
\(296\) −4656.50 −0.914371
\(297\) 1642.65 + 178.649i 0.320930 + 0.0349032i
\(298\) −1581.45 + 1861.83i −0.307420 + 0.361922i
\(299\) 5702.73 + 1255.27i 1.10300 + 0.242789i
\(300\) 955.748 + 726.541i 0.183934 + 0.139823i
\(301\) 545.151 516.394i 0.104392 0.0988853i
\(302\) 2201.39 5525.07i 0.419456 1.05276i
\(303\) −1057.48 356.306i −0.200497 0.0675552i
\(304\) 159.083 + 970.362i 0.0300132 + 0.183073i
\(305\) −172.878 163.759i −0.0324557 0.0307436i
\(306\) −560.250 + 259.199i −0.104665 + 0.0484230i
\(307\) −3823.59 + 2906.62i −0.710826 + 0.540356i −0.896929 0.442174i \(-0.854207\pi\)
0.186103 + 0.982530i \(0.440414\pi\)
\(308\) 607.306 3704.40i 0.112352 0.685318i
\(309\) 1341.63 2530.57i 0.246998 0.465888i
\(310\) 347.239 76.4330i 0.0636188 0.0140036i
\(311\) −5742.74 2656.88i −1.04708 0.484430i −0.180553 0.983565i \(-0.557789\pi\)
−0.866524 + 0.499136i \(0.833651\pi\)
\(312\) −1073.17 2693.44i −0.194731 0.488738i
\(313\) 103.988 + 1917.95i 0.0187788 + 0.346355i 0.992791 + 0.119859i \(0.0382442\pi\)
−0.974012 + 0.226496i \(0.927273\pi\)
\(314\) −3403.74 5020.15i −0.611734 0.902240i
\(315\) 440.148 + 518.183i 0.0787287 + 0.0926866i
\(316\) −271.701 512.483i −0.0483683 0.0912324i
\(317\) 3417.30 1151.42i 0.605472 0.204007i 0.000165815 1.00000i \(-0.499947\pi\)
0.605306 + 0.795993i \(0.293051\pi\)
\(318\) −96.4557 + 1779.02i −0.0170093 + 0.313719i
\(319\) −3045.28 + 1832.29i −0.534493 + 0.321594i
\(320\) −590.220 2125.78i −0.103107 0.371358i
\(321\) −1147.76 + 4133.87i −0.199570 + 0.718785i
\(322\) −3893.71 2342.77i −0.673876 0.405458i
\(323\) −1117.60 + 1648.34i −0.192523 + 0.283950i
\(324\) 317.936 34.5776i 0.0545157 0.00592894i
\(325\) 4049.06 440.361i 0.691081 0.0751596i
\(326\) −2214.81 + 3266.60i −0.376280 + 0.554971i
\(327\) −1472.58 886.021i −0.249033 0.149838i
\(328\) −882.875 + 3179.83i −0.148624 + 0.535295i
\(329\) 807.803 + 2909.44i 0.135367 + 0.487546i
\(330\) 1539.72 926.420i 0.256845 0.154539i
\(331\) 35.0580 646.607i 0.00582164 0.107374i −0.994178 0.107748i \(-0.965636\pi\)
1.00000 0.000373662i \(0.000118940\pi\)
\(332\) 1793.18 604.192i 0.296426 0.0998775i
\(333\) −816.210 1539.54i −0.134318 0.253352i
\(334\) −5436.66 6400.53i −0.890660 1.04857i
\(335\) −800.404 1180.51i −0.130540 0.192531i
\(336\) 42.4539 + 783.016i 0.00689300 + 0.127134i
\(337\) 1571.22 + 3943.46i 0.253975 + 0.637430i 0.999581 0.0289576i \(-0.00921879\pi\)
−0.745605 + 0.666388i \(0.767839\pi\)
\(338\) 1063.63 + 492.087i 0.171165 + 0.0791894i
\(339\) −6134.82 + 1350.38i −0.982884 + 0.216349i
\(340\) 306.427 577.983i 0.0488775 0.0921928i
\(341\) 359.657 2193.81i 0.0571160 0.348392i
\(342\) −842.883 + 640.743i −0.133269 + 0.101308i
\(343\) 6269.37 2900.52i 0.986921 0.456598i
\(344\) −843.930 799.413i −0.132272 0.125295i
\(345\) 342.933 + 2091.80i 0.0535157 + 0.326431i
\(346\) −1686.12 568.119i −0.261983 0.0882725i
\(347\) −143.879 + 361.108i −0.0222588 + 0.0558654i −0.939686 0.342038i \(-0.888883\pi\)
0.917427 + 0.397904i \(0.130262\pi\)
\(348\) −499.399 + 473.056i −0.0769270 + 0.0728691i
\(349\) 207.507 + 157.743i 0.0318269 + 0.0241942i 0.620967 0.783837i \(-0.286740\pi\)
−0.589140 + 0.808031i \(0.700533\pi\)
\(350\) −3095.50 681.372i −0.472748 0.104060i
\(351\) 702.399 826.928i 0.106813 0.125750i
\(352\) −9645.27 1048.99i −1.46050 0.158838i
\(353\) −9903.06 −1.49316 −0.746582 0.665294i \(-0.768306\pi\)
−0.746582 + 0.665294i \(0.768306\pi\)
\(354\) −1712.76 2134.41i −0.257154 0.320459i
\(355\) 682.286 0.102006
\(356\) −1232.12 134.001i −0.183433 0.0199496i
\(357\) −1028.15 + 1210.43i −0.152424 + 0.179448i
\(358\) −6247.97 1375.28i −0.922390 0.203033i
\(359\) −304.550 231.513i −0.0447731 0.0340356i 0.582548 0.812796i \(-0.302056\pi\)
−0.627321 + 0.778760i \(0.715849\pi\)
\(360\) 764.117 723.810i 0.111868 0.105967i
\(361\) 1274.49 3198.72i 0.185813 0.466354i
\(362\) 7113.39 + 2396.78i 1.03279 + 0.347989i
\(363\) −1171.70 7147.04i −0.169417 1.03340i
\(364\) −1789.51 1695.11i −0.257680 0.244088i
\(365\) −4544.51 + 2102.51i −0.651700 + 0.301508i
\(366\) 235.425 178.966i 0.0336226 0.0255592i
\(367\) 1628.03 9930.52i 0.231559 1.41245i −0.573476 0.819222i \(-0.694405\pi\)
0.805035 0.593227i \(-0.202146\pi\)
\(368\) −1145.19 + 2160.05i −0.162220 + 0.305980i
\(369\) −1206.07 + 265.476i −0.170151 + 0.0374530i
\(370\) −1719.87 795.696i −0.241653 0.111801i
\(371\) 1696.59 + 4258.11i 0.237419 + 0.595877i
\(372\) −23.2950 429.651i −0.00324675 0.0598827i
\(373\) −7803.48 11509.3i −1.08324 1.59766i −0.758273 0.651937i \(-0.773957\pi\)
−0.324969 0.945725i \(-0.605354\pi\)
\(374\) 2717.41 + 3199.18i 0.375705 + 0.442315i
\(375\) 1546.67 + 2917.32i 0.212985 + 0.401733i
\(376\) 4429.71 1492.54i 0.607566 0.204713i
\(377\) −126.343 + 2330.26i −0.0172599 + 0.318340i
\(378\) −723.481 + 435.304i −0.0984440 + 0.0592318i
\(379\) −1802.39 6491.61i −0.244281 0.879820i −0.979408 0.201891i \(-0.935291\pi\)
0.735127 0.677929i \(-0.237122\pi\)
\(380\) 300.177 1081.14i 0.0405230 0.145951i
\(381\) 5282.96 + 3178.65i 0.710379 + 0.427421i
\(382\) 3993.69 5890.26i 0.534909 0.788931i
\(383\) −6407.97 + 696.908i −0.854913 + 0.0929774i −0.525071 0.851059i \(-0.675961\pi\)
−0.329842 + 0.944036i \(0.606996\pi\)
\(384\) −1058.81 + 115.153i −0.140709 + 0.0153031i
\(385\) 2594.39 3826.44i 0.343435 0.506528i
\(386\) −5178.80 3115.98i −0.682886 0.410879i
\(387\) 116.375 419.145i 0.0152860 0.0550551i
\(388\) 809.846 + 2916.80i 0.105963 + 0.381645i
\(389\) −6296.30 + 3788.36i −0.820655 + 0.493772i −0.862924 0.505334i \(-0.831369\pi\)
0.0422682 + 0.999106i \(0.486542\pi\)
\(390\) 63.8800 1178.20i 0.00829408 0.152975i
\(391\) −4692.31 + 1581.02i −0.606906 + 0.204491i
\(392\) −1144.99 2159.69i −0.147528 0.278267i
\(393\) 1393.33 + 1640.35i 0.178840 + 0.210547i
\(394\) 3219.82 + 4748.87i 0.411706 + 0.607220i
\(395\) −38.6747 713.313i −0.00492642 0.0908624i
\(396\) −804.913 2020.18i −0.102142 0.256358i
\(397\) 12483.2 + 5775.36i 1.57812 + 0.730118i 0.996520 0.0833543i \(-0.0265633\pi\)
0.581604 + 0.813472i \(0.302425\pi\)
\(398\) −5679.08 + 1250.06i −0.715243 + 0.157437i
\(399\) −1275.92 + 2406.63i −0.160090 + 0.301961i
\(400\) −275.888 + 1682.84i −0.0344860 + 0.210355i
\(401\) 1386.53 1054.01i 0.172668 0.131259i −0.515271 0.857027i \(-0.672309\pi\)
0.687939 + 0.725768i \(0.258516\pi\)
\(402\) 1607.56 743.737i 0.199447 0.0922741i
\(403\) −1059.78 1003.87i −0.130996 0.124086i
\(404\) 237.596 + 1449.27i 0.0292595 + 0.178475i
\(405\) 373.244 + 125.760i 0.0457941 + 0.0154298i
\(406\) 672.208 1687.11i 0.0821702 0.206232i
\(407\) −8602.08 + 8148.32i −1.04764 + 0.992377i
\(408\) 1957.25 + 1487.87i 0.237496 + 0.180540i
\(409\) 15307.9 + 3369.53i 1.85068 + 0.407366i 0.994084 0.108617i \(-0.0346421\pi\)
0.856599 + 0.515983i \(0.172573\pi\)
\(410\) −869.452 + 1023.60i −0.104730 + 0.123297i
\(411\) 6735.10 + 732.486i 0.808316 + 0.0879097i
\(412\) −3769.58 −0.450762
\(413\) −6304.92 3133.49i −0.751199 0.373339i
\(414\) −2632.47 −0.312509
\(415\) 2316.70 + 251.957i 0.274030 + 0.0298026i
\(416\) −4124.33 + 4855.53i −0.486086 + 0.572265i
\(417\) −3456.47 760.826i −0.405909 0.0893472i
\(418\) 5731.38 + 4356.89i 0.670649 + 0.509814i
\(419\) 809.868 767.148i 0.0944263 0.0894454i −0.639031 0.769181i \(-0.720664\pi\)
0.733457 + 0.679736i \(0.237906\pi\)
\(420\) 331.197 831.241i 0.0384780 0.0965724i
\(421\) 13097.1 + 4412.91i 1.51618 + 0.510860i 0.949685 0.313206i \(-0.101403\pi\)
0.566494 + 0.824066i \(0.308299\pi\)
\(422\) −1439.36 8779.70i −0.166035 1.01277i
\(423\) 1269.92 + 1202.93i 0.145971 + 0.138271i
\(424\) 6439.99 2979.46i 0.737626 0.341262i
\(425\) −2749.49 + 2090.10i −0.313811 + 0.238553i
\(426\) −137.082 + 836.162i −0.0155907 + 0.0950990i
\(427\) 356.376 672.196i 0.0403893 0.0761823i
\(428\) 5514.36 1213.80i 0.622772 0.137083i
\(429\) −6695.69 3097.76i −0.753545 0.348627i
\(430\) −175.101 439.471i −0.0196375 0.0492864i
\(431\) −272.226 5020.90i −0.0304238 0.561133i −0.973518 0.228609i \(-0.926582\pi\)
0.943095 0.332525i \(-0.107900\pi\)
\(432\) 254.931 + 375.995i 0.0283921 + 0.0418752i
\(433\) 208.135 + 245.036i 0.0231001 + 0.0271956i 0.773591 0.633685i \(-0.218459\pi\)
−0.750491 + 0.660881i \(0.770183\pi\)
\(434\) 532.113 + 1003.67i 0.0588531 + 0.111009i
\(435\) −802.811 + 270.499i −0.0884870 + 0.0298147i
\(436\) −122.452 + 2258.49i −0.0134504 + 0.248079i
\(437\) −7276.96 + 4378.40i −0.796577 + 0.479285i
\(438\) −1663.63 5991.86i −0.181487 0.653658i
\(439\) −227.059 + 817.793i −0.0246855 + 0.0889091i −0.974867 0.222789i \(-0.928484\pi\)
0.950181 + 0.311698i \(0.100898\pi\)
\(440\) −6132.34 3689.71i −0.664427 0.399772i
\(441\) 513.338 757.117i 0.0554301 0.0817532i
\(442\) 2740.06 297.999i 0.294867 0.0320688i
\(443\) 14067.5 1529.94i 1.50873 0.164084i 0.683947 0.729532i \(-0.260262\pi\)
0.824785 + 0.565447i \(0.191296\pi\)
\(444\) −1286.98 + 1898.15i −0.137562 + 0.202888i
\(445\) −1307.87 786.921i −0.139324 0.0838284i
\(446\) −876.356 + 3156.35i −0.0930418 + 0.335106i
\(447\) 974.011 + 3508.07i 0.103063 + 0.371199i
\(448\) 6039.90 3634.09i 0.636961 0.383246i
\(449\) −862.670 + 15911.0i −0.0906724 + 1.67235i 0.500444 + 0.865769i \(0.333170\pi\)
−0.591117 + 0.806586i \(0.701313\pi\)
\(450\) −1740.05 + 586.292i −0.182282 + 0.0614179i
\(451\) 3933.36 + 7419.11i 0.410676 + 0.774616i
\(452\) 5352.12 + 6301.01i 0.556953 + 0.655696i
\(453\) −4974.42 7336.71i −0.515935 0.760947i
\(454\) 286.213 + 5278.89i 0.0295873 + 0.545706i
\(455\) −1123.60 2820.04i −0.115770 0.290561i
\(456\) 3827.11 + 1770.61i 0.393028 + 0.181834i
\(457\) 1380.94 303.969i 0.141352 0.0311139i −0.143731 0.989617i \(-0.545910\pi\)
0.285083 + 0.958503i \(0.407979\pi\)
\(458\) −1427.20 + 2691.99i −0.145609 + 0.274647i
\(459\) −148.844 + 907.907i −0.0151360 + 0.0923257i
\(460\) 2220.91 1688.29i 0.225109 0.171124i
\(461\) 13812.2 6390.18i 1.39544 0.645598i 0.429189 0.903215i \(-0.358799\pi\)
0.966247 + 0.257617i \(0.0829373\pi\)
\(462\) 4168.16 + 3948.29i 0.419741 + 0.397600i
\(463\) −2471.16 15073.4i −0.248044 1.51300i −0.757688 0.652616i \(-0.773671\pi\)
0.509644 0.860385i \(-0.329777\pi\)
\(464\) −925.946 311.988i −0.0926422 0.0312148i
\(465\) 196.141 492.276i 0.0195609 0.0490941i
\(466\) 5232.24 4956.24i 0.520126 0.492689i
\(467\) 459.480 + 349.288i 0.0455293 + 0.0346105i 0.627691 0.778462i \(-0.284000\pi\)
−0.582162 + 0.813073i \(0.697793\pi\)
\(468\) −1394.55 306.963i −0.137741 0.0303191i
\(469\) 2950.14 3473.17i 0.290458 0.341953i
\(470\) 1891.15 + 205.674i 0.185600 + 0.0201852i
\(471\) −9039.63 −0.884340
\(472\) −4315.32 + 10008.8i −0.420823 + 0.976039i
\(473\) −2957.89 −0.287535
\(474\) 881.956 + 95.9185i 0.0854632 + 0.00929469i
\(475\) −3834.91 + 4514.81i −0.370438 + 0.436113i
\(476\) 2041.29 + 449.323i 0.196560 + 0.0432661i
\(477\) 2113.90 + 1606.94i 0.202911 + 0.154249i
\(478\) 3084.22 2921.53i 0.295123 0.279556i
\(479\) 638.747 1603.13i 0.0609292 0.152921i −0.895360 0.445343i \(-0.853082\pi\)
0.956289 + 0.292422i \(0.0944612\pi\)
\(480\) −2191.60 738.437i −0.208401 0.0702185i
\(481\) 1258.70 + 7677.72i 0.119317 + 0.727804i
\(482\) 8002.09 + 7579.98i 0.756194 + 0.716305i
\(483\) −6146.66 + 2843.75i −0.579054 + 0.267899i
\(484\) −7588.15 + 5768.36i −0.712636 + 0.541732i
\(485\) −603.133 + 3678.95i −0.0564677 + 0.344438i
\(486\) −229.114 + 432.154i −0.0213844 + 0.0403352i
\(487\) −12832.6 + 2824.67i −1.19405 + 0.262829i −0.767148 0.641471i \(-0.778325\pi\)
−0.426898 + 0.904300i \(0.640394\pi\)
\(488\) −1068.95 494.547i −0.0991577 0.0458752i
\(489\) 2177.18 + 5464.31i 0.201341 + 0.505327i
\(490\) −53.8568 993.330i −0.00496531 0.0915797i
\(491\) −8987.49 13255.6i −0.826069 1.21836i −0.973363 0.229268i \(-0.926367\pi\)
0.147295 0.989093i \(-0.452943\pi\)
\(492\) 1052.20 + 1238.74i 0.0964161 + 0.113510i
\(493\) −926.929 1748.37i −0.0846791 0.159722i
\(494\) 4479.89 1509.45i 0.408016 0.137476i
\(495\) 144.992 2674.22i 0.0131655 0.242823i
\(496\) 523.702 315.101i 0.0474091 0.0285251i
\(497\) 583.195 + 2100.48i 0.0526355 + 0.189576i
\(498\) −774.242 + 2788.57i −0.0696679 + 0.250921i
\(499\) −1065.02 640.804i −0.0955452 0.0574876i 0.466979 0.884268i \(-0.345342\pi\)
−0.562525 + 0.826781i \(0.690170\pi\)
\(500\) 2438.74 3596.88i 0.218128 0.321714i
\(501\) −12442.8 + 1353.23i −1.10958 + 0.120674i
\(502\) 7386.57 803.338i 0.656731 0.0714238i
\(503\) 12431.5 18335.1i 1.10197 1.62529i 0.393894 0.919156i \(-0.371128\pi\)
0.708080 0.706133i \(-0.249562\pi\)
\(504\) 2881.45 + 1733.71i 0.254663 + 0.153225i
\(505\) −483.869 + 1742.74i −0.0426374 + 0.153566i
\(506\) 4788.78 + 17247.6i 0.420725 + 1.51532i
\(507\) 1496.64 900.498i 0.131101 0.0788807i
\(508\) 439.304 8102.49i 0.0383680 0.707657i
\(509\) 15802.4 5324.45i 1.37609 0.463658i 0.468479 0.883475i \(-0.344802\pi\)
0.907609 + 0.419817i \(0.137906\pi\)
\(510\) 468.663 + 883.992i 0.0406917 + 0.0767526i
\(511\) −10357.3 12193.5i −0.896630 1.05559i
\(512\) −3313.56 4887.14i −0.286016 0.421842i
\(513\) 85.4308 + 1575.68i 0.00735256 + 0.135610i
\(514\) 4657.28 + 11688.9i 0.399658 + 1.00306i
\(515\) −4213.34 1949.30i −0.360508 0.166789i
\(516\) −559.117 + 123.071i −0.0477010 + 0.0104998i
\(517\) 5571.34 10508.7i 0.473941 0.893947i
\(518\) 979.535 5974.90i 0.0830855 0.506799i
\(519\) −2111.08 + 1604.80i −0.178547 + 0.135728i
\(520\) −4265.03 + 1973.21i −0.359681 + 0.166406i
\(521\) 601.545 + 569.814i 0.0505838 + 0.0479156i 0.712574 0.701597i \(-0.247529\pi\)
−0.661990 + 0.749513i \(0.730288\pi\)
\(522\) −170.207 1038.22i −0.0142716 0.0870527i
\(523\) 18331.5 + 6176.60i 1.53266 + 0.516413i 0.954167 0.299276i \(-0.0967450\pi\)
0.578492 + 0.815688i \(0.303642\pi\)
\(524\) 1048.43 2631.37i 0.0874064 0.219374i
\(525\) −3429.58 + 3248.67i −0.285103 + 0.270064i
\(526\) 5474.69 + 4161.75i 0.453817 + 0.344983i
\(527\) 1208.89 + 266.097i 0.0999243 + 0.0219950i
\(528\) 1999.73 2354.26i 0.164824 0.194046i
\(529\) −8896.01 967.500i −0.731159 0.0795183i
\(530\) 2887.72 0.236669
\(531\) −4065.51 + 327.641i −0.332256 + 0.0267767i
\(532\) 3584.96 0.292157
\(533\) 5481.60 + 596.160i 0.445468 + 0.0484476i
\(534\) 1227.17 1444.73i 0.0994470 0.117078i
\(535\) 6791.18 + 1494.85i 0.548800 + 0.120800i
\(536\) −5616.07 4269.22i −0.452569 0.344034i
\(537\) −6922.27 + 6557.12i −0.556272 + 0.526929i
\(538\) 1502.82 3771.80i 0.120430 0.302256i
\(539\) −5894.37 1986.04i −0.471036 0.158710i
\(540\) −83.8610 511.529i −0.00668296 0.0407643i
\(541\) 6255.42 + 5925.45i 0.497119 + 0.470896i 0.894698 0.446672i \(-0.147391\pi\)
−0.397579 + 0.917568i \(0.630149\pi\)
\(542\) −5825.97 + 2695.38i −0.461710 + 0.213610i
\(543\) 8906.20 6770.31i 0.703870 0.535068i
\(544\) 873.977 5331.03i 0.0688814 0.420158i
\(545\) −1304.76 + 2461.04i −0.102550 + 0.193430i
\(546\) 3681.79 810.422i 0.288582 0.0635218i
\(547\) −18476.8 8548.30i −1.44426 0.668188i −0.467794 0.883838i \(-0.654951\pi\)
−0.976471 + 0.215650i \(0.930813\pi\)
\(548\) −3300.26 8283.02i −0.257263 0.645681i
\(549\) −23.8616 440.102i −0.00185499 0.0342133i
\(550\) 7006.69 + 10334.1i 0.543211 + 0.801176i
\(551\) −2197.30 2586.86i −0.169888 0.200007i
\(552\) 4911.02 + 9263.16i 0.378672 + 0.714251i
\(553\) 2162.94 728.778i 0.166324 0.0560412i
\(554\) −792.576 + 14618.2i −0.0607822 + 1.12106i
\(555\) −2420.04 + 1456.09i −0.185090 + 0.111365i
\(556\) 1246.13 + 4488.15i 0.0950497 + 0.342338i
\(557\) 2412.16 8687.83i 0.183495 0.660889i −0.813369 0.581749i \(-0.802369\pi\)
0.996863 0.0791404i \(-0.0252175\pi\)
\(558\) 563.891 + 339.282i 0.0427803 + 0.0257400i
\(559\) −1089.96 + 1607.58i −0.0824696 + 0.121634i
\(560\) 1263.55 137.419i 0.0953475 0.0103697i
\(561\) 6219.27 676.387i 0.468053 0.0509039i
\(562\) 500.845 738.692i 0.0375923 0.0554445i
\(563\) 11492.0 + 6914.53i 0.860269 + 0.517607i 0.876023 0.482269i \(-0.160187\pi\)
−0.0157542 + 0.999876i \(0.505015\pi\)
\(564\) 615.884 2218.22i 0.0459812 0.165609i
\(565\) 2723.85 + 9810.41i 0.202820 + 0.730490i
\(566\) 6627.77 3987.80i 0.492201 0.296148i
\(567\) −68.1286 + 1256.56i −0.00504609 + 0.0930697i
\(568\) 3198.03 1077.54i 0.236244 0.0795998i
\(569\) 9478.79 + 17878.9i 0.698368 + 1.31726i 0.938080 + 0.346418i \(0.112602\pi\)
−0.239712 + 0.970844i \(0.577053\pi\)
\(570\) 1110.97 + 1307.94i 0.0816379 + 0.0961115i
\(571\) −1590.43 2345.71i −0.116563 0.171918i 0.764932 0.644111i \(-0.222773\pi\)
−0.881495 + 0.472194i \(0.843462\pi\)
\(572\) 525.664 + 9695.31i 0.0384251 + 0.708708i
\(573\) −3925.84 9853.11i −0.286220 0.718359i
\(574\) −3894.41 1801.75i −0.283188 0.131017i
\(575\) −14383.9 + 3166.14i −1.04322 + 0.229630i
\(576\) 1912.73 3607.79i 0.138363 0.260980i
\(577\) −1893.78 + 11551.5i −0.136636 + 0.833444i 0.826204 + 0.563371i \(0.190496\pi\)
−0.962840 + 0.270072i \(0.912952\pi\)
\(578\) 6012.20 4570.36i 0.432655 0.328896i
\(579\) −8175.32 + 3782.31i −0.586796 + 0.271481i
\(580\) 809.440 + 766.742i 0.0579485 + 0.0548918i
\(581\) 1204.57 + 7347.54i 0.0860136 + 0.524660i
\(582\) −4387.48 1478.31i −0.312486 0.105289i
\(583\) 6683.07 16773.2i 0.474759 1.19155i
\(584\) −17980.6 + 17032.2i −1.27405 + 1.20684i
\(585\) −1399.98 1064.24i −0.0989435 0.0752149i
\(586\) −6183.59 1361.11i −0.435907 0.0959504i
\(587\) 6454.03 7598.27i 0.453810 0.534266i −0.486910 0.873452i \(-0.661876\pi\)
0.940719 + 0.339186i \(0.110152\pi\)
\(588\) −1196.82 130.162i −0.0839388 0.00912890i
\(589\) 2123.08 0.148523
\(590\) −3304.13 + 2959.32i −0.230558 + 0.206497i
\(591\) 8551.16 0.595174
\(592\) −3238.42 352.199i −0.224828 0.0244515i
\(593\) 1381.61 1626.56i 0.0956763 0.112639i −0.712240 0.701936i \(-0.752319\pi\)
0.807917 + 0.589297i \(0.200595\pi\)
\(594\) 3248.21 + 714.985i 0.224370 + 0.0493875i
\(595\) 2049.25 + 1557.80i 0.141195 + 0.107333i
\(596\) 3478.68 3295.18i 0.239081 0.226470i
\(597\) −3207.88 + 8051.16i −0.219916 + 0.551946i
\(598\) 11138.5 + 3752.99i 0.761683 + 0.256641i
\(599\) −1279.29 7803.31i −0.0872625 0.532278i −0.993893 0.110352i \(-0.964802\pi\)
0.906630 0.421926i \(-0.138646\pi\)
\(600\) 5309.22 + 5029.16i 0.361247 + 0.342191i
\(601\) −17241.5 + 7976.75i −1.17021 + 0.541395i −0.906085 0.423095i \(-0.860944\pi\)
−0.264121 + 0.964490i \(0.585082\pi\)
\(602\) 1203.28 914.709i 0.0814651 0.0619281i
\(603\) 427.087 2605.11i 0.0288430 0.175934i
\(604\) −5464.44 + 10307.0i −0.368121 + 0.694349i
\(605\) −11464.3 + 2523.49i −0.770398 + 0.169577i
\(606\) −2038.56 943.140i −0.136652 0.0632218i
\(607\) −8907.47 22356.1i −0.595623 1.49490i −0.849460 0.527653i \(-0.823072\pi\)
0.253837 0.967247i \(-0.418307\pi\)
\(608\) −501.630 9252.03i −0.0334602 0.617137i
\(609\) −1518.97 2240.31i −0.101070 0.149067i
\(610\) −310.305 365.320i −0.0205966 0.0242481i
\(611\) −3658.32 6900.32i −0.242226 0.456886i
\(612\) 1147.46 386.624i 0.0757896 0.0255365i
\(613\) 1343.69 24782.8i 0.0885333 1.63290i −0.530605 0.847619i \(-0.678035\pi\)
0.619138 0.785282i \(-0.287482\pi\)
\(614\) −8283.91 + 4984.26i −0.544481 + 0.327603i
\(615\) 535.493 + 1928.67i 0.0351108 + 0.126458i
\(616\) 6117.37 22032.8i 0.400123 1.44111i
\(617\) −10097.3 6075.34i −0.658835 0.396408i 0.146514 0.989209i \(-0.453195\pi\)
−0.805349 + 0.592800i \(0.798022\pi\)
\(618\) 3235.44 4771.92i 0.210597 0.310607i
\(619\) −6955.51 + 756.457i −0.451640 + 0.0491188i −0.331113 0.943591i \(-0.607424\pi\)
−0.120527 + 0.992710i \(0.538459\pi\)
\(620\) −693.325 + 75.4036i −0.0449106 + 0.00488433i
\(621\) −2201.77 + 3247.37i −0.142277 + 0.209843i
\(622\) −10913.5 6566.45i −0.703524 0.423297i
\(623\) 1304.68 4699.03i 0.0839019 0.302187i
\(624\) −542.624 1954.36i −0.0348115 0.125380i
\(625\) −6270.16 + 3772.63i −0.401290 + 0.241448i
\(626\) −209.317 + 3860.62i −0.0133642 + 0.246488i
\(627\) 10168.3 3426.09i 0.647657 0.218221i
\(628\) 5572.65 + 10511.1i 0.354097 + 0.667898i
\(629\) −4271.06 5028.28i −0.270744 0.318745i
\(630\) 768.003 + 1132.72i 0.0485682 + 0.0716328i
\(631\) 894.168 + 16492.0i 0.0564125 + 1.04047i 0.880513 + 0.474023i \(0.157199\pi\)
−0.824100 + 0.566444i \(0.808319\pi\)
\(632\) −1307.82 3282.38i −0.0823138 0.206592i
\(633\) −12034.4 5567.69i −0.755644 0.349598i
\(634\) 7088.91 1560.39i 0.444064 0.0977458i
\(635\) 4680.91 8829.14i 0.292530 0.551770i
\(636\) 565.375 3448.64i 0.0352493 0.215011i
\(637\) −3251.42 + 2471.67i −0.202239 + 0.153738i
\(638\) −6492.65 + 3003.82i −0.402894 + 0.186399i
\(639\) 916.822 + 868.460i 0.0567589 + 0.0537649i
\(640\) 279.280 + 1703.53i 0.0172492 + 0.105216i
\(641\) −3790.16 1277.06i −0.233545 0.0786905i 0.200096 0.979776i \(-0.435875\pi\)
−0.433641 + 0.901086i \(0.642771\pi\)
\(642\) −3196.44 + 8022.45i −0.196500 + 0.493179i
\(643\) −2737.50 + 2593.09i −0.167895 + 0.159038i −0.767034 0.641607i \(-0.778268\pi\)
0.599139 + 0.800645i \(0.295510\pi\)
\(644\) 7095.89 + 5394.16i 0.434188 + 0.330061i
\(645\) −688.577 151.567i −0.0420352 0.00925265i
\(646\) −2595.14 + 3055.24i −0.158057 + 0.186079i
\(647\) −2653.49 288.584i −0.161235 0.0175354i 0.0271452 0.999632i \(-0.491358\pi\)
−0.188381 + 0.982096i \(0.560324\pi\)
\(648\) 1948.10 0.118099
\(649\) 9542.32 + 26040.7i 0.577148 + 1.57502i
\(650\) 8198.36 0.494717
\(651\) 1683.17 + 183.055i 0.101334 + 0.0110208i
\(652\) 5011.65 5900.17i 0.301030 0.354400i
\(653\) 13328.7 + 2933.87i 0.798764 + 0.175821i 0.595555 0.803314i \(-0.296932\pi\)
0.203208 + 0.979136i \(0.434863\pi\)
\(654\) −2753.93 2093.49i −0.164660 0.125171i
\(655\) 2532.56 2398.97i 0.151077 0.143108i
\(656\) −854.515 + 2144.67i −0.0508586 + 0.127645i
\(657\) −8782.90 2959.30i −0.521543 0.175728i
\(658\) 983.299 + 5997.86i 0.0582568 + 0.355351i
\(659\) 16729.9 + 15847.4i 0.988927 + 0.936761i 0.998001 0.0631973i \(-0.0201298\pi\)
−0.00907398 + 0.999959i \(0.502888\pi\)
\(660\) −3198.93 + 1479.98i −0.188664 + 0.0872852i
\(661\) −23628.4 + 17961.9i −1.39038 + 1.05694i −0.400305 + 0.916382i \(0.631096\pi\)
−0.990073 + 0.140556i \(0.955111\pi\)
\(662\) 210.876 1286.29i 0.0123806 0.0755182i
\(663\) 1924.15 3629.34i 0.112712 0.212597i
\(664\) 11256.9 2477.82i 0.657907 0.144816i
\(665\) 4006.98 + 1853.83i 0.233660 + 0.108103i
\(666\) −1298.26 3258.38i −0.0755353 0.189579i
\(667\) −456.872 8426.51i −0.0265220 0.489169i
\(668\) 9244.09 + 13634.0i 0.535426 + 0.789694i
\(669\) 3160.64 + 3721.00i 0.182657 + 0.215040i
\(670\) −1344.76 2536.49i −0.0775414 0.146259i
\(671\) −2840.09 + 956.938i −0.163399 + 0.0550554i
\(672\) 400.036 7378.23i 0.0229639 0.423544i
\(673\) −6110.28 + 3676.43i −0.349976 + 0.210574i −0.679677 0.733512i \(-0.737880\pi\)
0.329700 + 0.944086i \(0.393052\pi\)
\(674\) 2285.93 + 8233.16i 0.130639 + 0.470519i
\(675\) −732.123 + 2636.87i −0.0417473 + 0.150360i
\(676\) −1969.72 1185.14i −0.112069 0.0674294i
\(677\) 6878.66 10145.3i 0.390500 0.575944i −0.580728 0.814098i \(-0.697232\pi\)
0.971227 + 0.238154i \(0.0765423\pi\)
\(678\) −12570.2 + 1367.09i −0.712030 + 0.0774379i
\(679\) −11841.5 + 1287.84i −0.669271 + 0.0727876i
\(680\) 2236.29 3298.28i 0.126114 0.186005i
\(681\) 6751.34 + 4062.15i 0.379900 + 0.228578i
\(682\) 1197.15 4311.74i 0.0672159 0.242090i
\(683\) −6152.55 22159.5i −0.344686 1.24145i −0.909317 0.416104i \(-0.863395\pi\)
0.564631 0.825344i \(-0.309019\pi\)
\(684\) 1779.51 1070.69i 0.0994755 0.0598524i
\(685\) 594.489 10964.7i 0.0331595 0.611591i
\(686\) 13176.8 4439.78i 0.733371 0.247102i
\(687\) 2127.10 + 4012.13i 0.118128 + 0.222813i
\(688\) −526.457 619.793i −0.0291729 0.0343450i
\(689\) −6653.37 9812.99i −0.367886 0.542591i
\(690\) 230.998 + 4260.51i 0.0127449 + 0.235065i
\(691\) 1392.17 + 3494.08i 0.0766435 + 0.192361i 0.962306 0.271969i \(-0.0876747\pi\)
−0.885663 + 0.464329i \(0.846295\pi\)
\(692\) 3167.45 + 1465.42i 0.174000 + 0.0805012i
\(693\) 8356.76 1839.46i 0.458077 0.100830i
\(694\) −366.502 + 691.297i −0.0200465 + 0.0378116i
\(695\) −928.054 + 5660.88i −0.0506520 + 0.308963i
\(696\) −3335.76 + 2535.78i −0.181669 + 0.138101i
\(697\) −4243.50 + 1963.25i −0.230608 + 0.106691i
\(698\) 380.910 + 360.817i 0.0206557 + 0.0195661i
\(699\) −1737.74 10599.8i −0.0940306 0.573561i
\(700\) 5891.73 + 1985.16i 0.318124 + 0.107188i
\(701\) 9848.63 24718.2i 0.530638 1.33180i −0.382426 0.923986i \(-0.624911\pi\)
0.913064 0.407816i \(-0.133709\pi\)
\(702\) 1585.53 1501.89i 0.0852449 0.0807483i
\(703\) −9008.24 6847.89i −0.483289 0.367387i
\(704\) −27117.3 5968.97i −1.45174 0.319551i
\(705\) 1835.45 2160.86i 0.0980527 0.115437i
\(706\) −19816.9 2155.22i −1.05640 0.114891i
\(707\) −5778.77 −0.307402
\(708\) 2887.24 + 4525.33i 0.153261 + 0.240215i
\(709\) 7795.73 0.412941 0.206470 0.978453i \(-0.433802\pi\)
0.206470 + 0.978453i \(0.433802\pi\)
\(710\) 1365.32 + 148.487i 0.0721681 + 0.00784876i
\(711\) 855.983 1007.74i 0.0451503 0.0531551i
\(712\) −7373.10 1622.94i −0.388088 0.0854246i
\(713\) 4202.31 + 3194.52i 0.220726 + 0.167792i
\(714\) −2320.85 + 2198.43i −0.121647 + 0.115230i
\(715\) −4426.02 + 11108.5i −0.231502 + 0.581025i
\(716\) 11891.9 + 4006.84i 0.620699 + 0.209138i
\(717\) −1024.34 6248.18i −0.0533537 0.325443i
\(718\) −559.047 529.557i −0.0290577 0.0275249i
\(719\) −29825.6 + 13798.8i −1.54702 + 0.715729i −0.993147 0.116871i \(-0.962713\pi\)
−0.553875 + 0.832600i \(0.686851\pi\)
\(720\) 586.160 445.587i 0.0303401 0.0230640i
\(721\) 2399.66 14637.3i 0.123950 0.756063i
\(722\) 3246.51 6123.56i 0.167344 0.315645i
\(723\) 16043.4 3531.42i 0.825258 0.181653i
\(724\) −13362.8 6182.29i −0.685946 0.317352i
\(725\) −2178.71 5468.15i −0.111607 0.280113i
\(726\) −789.251 14556.9i −0.0403469 0.744154i
\(727\) −1624.88 2396.53i −0.0828936 0.122259i 0.783982 0.620784i \(-0.213186\pi\)
−0.866875 + 0.498525i \(0.833875\pi\)
\(728\) −9720.31 11443.6i −0.494861 0.582595i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −9551.54 + 3218.29i −0.484272 + 0.163170i
\(731\) 89.1649 1644.55i 0.00451147 0.0832092i
\(732\) −497.033 + 299.055i −0.0250968 + 0.0151003i
\(733\) 1214.85 + 4375.48i 0.0612160 + 0.220480i 0.987831 0.155532i \(-0.0497090\pi\)
−0.926615 + 0.376012i \(0.877295\pi\)
\(734\) 5419.02 19517.5i 0.272506 0.981479i
\(735\) −1270.40 764.375i −0.0637544 0.0383597i
\(736\) 12928.3 19067.8i 0.647477 0.954957i
\(737\) −17845.3 + 1940.80i −0.891915 + 0.0970016i
\(738\) −2471.23 + 268.763i −0.123262 + 0.0134055i
\(739\) −18282.5 + 26964.6i −0.910056 + 1.34223i 0.0294019 + 0.999568i \(0.490640\pi\)
−0.939458 + 0.342664i \(0.888671\pi\)
\(740\) 3185.00 + 1916.35i 0.158220 + 0.0951979i
\(741\) 1884.90 6788.81i 0.0934462 0.336563i
\(742\) 2468.32 + 8890.10i 0.122123 + 0.439846i
\(743\) −13850.6 + 8333.63i −0.683889 + 0.411482i −0.814667 0.579929i \(-0.803080\pi\)
0.130778 + 0.991412i \(0.458253\pi\)
\(744\) 141.899 2617.18i 0.00699231 0.128966i
\(745\) 5592.17 1884.22i 0.275008 0.0926611i
\(746\) −13110.7 24729.4i −0.643454 1.21368i
\(747\) 2792.36 + 3287.42i 0.136770 + 0.161018i
\(748\) −4620.48 6814.70i −0.225858 0.333115i
\(749\) 1202.83 + 22185.0i 0.0586790 + 1.08227i
\(750\) 2460.12 + 6174.42i 0.119774 + 0.300611i
\(751\) 201.689 + 93.3110i 0.00979989 + 0.00453391i 0.424783 0.905295i \(-0.360350\pi\)
−0.414983 + 0.909829i \(0.636212\pi\)
\(752\) 3193.58 702.960i 0.154864 0.0340882i
\(753\) 5187.07 9783.86i 0.251033 0.473498i
\(754\) −759.961 + 4635.56i −0.0367058 + 0.223895i
\(755\) −11437.6 + 8694.64i −0.551334 + 0.419113i
\(756\) 1503.11 695.411i 0.0723114 0.0334548i
\(757\) −17097.7 16195.8i −0.820907 0.777604i 0.156788 0.987632i \(-0.449886\pi\)
−0.977695 + 0.210028i \(0.932645\pi\)
\(758\) −2193.96 13382.6i −0.105129 0.641261i
\(759\) 25281.7 + 8518.38i 1.20905 + 0.407375i
\(760\) 2529.81 6349.35i 0.120745 0.303046i
\(761\) −382.728 + 362.539i −0.0182311 + 0.0172694i −0.696761 0.717304i \(-0.745376\pi\)
0.678530 + 0.734573i \(0.262617\pi\)
\(762\) 9879.90 + 7510.51i 0.469700 + 0.357056i
\(763\) −8691.80 1913.21i −0.412404 0.0907770i
\(764\) −9036.88 + 10639.0i −0.427936 + 0.503805i
\(765\) 1482.46 + 161.228i 0.0700635 + 0.00761987i
\(766\) −12974.6 −0.611998
\(767\) 17669.1 + 4409.70i 0.831804 + 0.207595i
\(768\) −13033.1 −0.612357
\(769\) −1215.65 132.210i −0.0570056 0.00619974i 0.0795717 0.996829i \(-0.474645\pi\)
−0.136577 + 0.990629i \(0.543610\pi\)
\(770\) 6024.36 7092.43i 0.281952 0.331939i
\(771\) 18314.6 + 4031.34i 0.855490