Properties

Label 177.3.g.a.10.18
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.18
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.18

$q$-expansion

\(f(q)\) \(=\) \(q+(3.16149 + 1.25965i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(5.50432 + 5.21397i) q^{4} +(3.15169 - 3.71045i) q^{5} +(-5.20787 - 2.76104i) q^{6} +(6.22205 + 3.74368i) q^{7} +(5.11821 + 11.0628i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(3.16149 + 1.25965i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(5.50432 + 5.21397i) q^{4} +(3.15169 - 3.71045i) q^{5} +(-5.20787 - 2.76104i) q^{6} +(6.22205 + 3.74368i) q^{7} +(5.11821 + 11.0628i) q^{8} +(2.92986 + 0.644911i) q^{9} +(14.6379 - 7.76053i) q^{10} +(-9.16309 - 0.496808i) q^{11} +(-8.50147 - 10.0087i) q^{12} +(1.92085 + 8.72651i) q^{13} +(14.9552 + 19.6733i) q^{14} +(-6.12173 + 5.79881i) q^{15} +(0.603975 + 11.1397i) q^{16} +(-4.17022 + 2.50914i) q^{17} +(8.45037 + 5.72949i) q^{18} +(4.75485 - 17.1254i) q^{19} +(36.6941 - 3.99072i) q^{20} +(-10.0127 - 7.61143i) q^{21} +(-28.3432 - 13.1130i) q^{22} +(-18.7318 + 12.7005i) q^{23} +(-6.74132 - 20.0075i) q^{24} +(0.210222 + 1.28230i) q^{25} +(-4.91963 + 30.0084i) q^{26} +(-4.92415 - 1.65914i) q^{27} +(14.7287 + 53.0480i) q^{28} +(-15.3293 - 38.4735i) q^{29} +(-26.6583 + 10.6216i) q^{30} +(-24.0224 + 6.66979i) q^{31} +(3.44576 - 10.2267i) q^{32} +(15.6849 + 2.57140i) q^{33} +(-16.3448 + 2.67959i) q^{34} +(33.5007 - 11.2877i) q^{35} +(12.7644 + 18.8260i) q^{36} +(17.2974 - 37.3877i) q^{37} +(36.6045 - 48.1524i) q^{38} +(-1.67331 - 15.3859i) q^{39} +(57.1791 + 15.8757i) q^{40} +(3.25961 - 4.80757i) q^{41} +(-22.0672 - 36.6760i) q^{42} +(-66.1289 + 3.58540i) q^{43} +(-47.8463 - 50.5107i) q^{44} +(11.6269 - 8.83855i) q^{45} +(-75.2186 + 16.5569i) q^{46} +(20.3111 - 17.2524i) q^{47} +(1.04612 - 19.2945i) q^{48} +(1.74673 + 3.29468i) q^{49} +(-0.950636 + 4.31878i) q^{50} +(7.65057 - 3.53953i) q^{51} +(-34.9268 + 58.0488i) q^{52} +(-17.3870 + 32.7953i) q^{53} +(-13.4777 - 11.4481i) q^{54} +(-30.7226 + 32.4334i) q^{55} +(-9.56997 + 87.9944i) q^{56} +(-11.3944 + 28.5978i) q^{57} -140.943i q^{58} +(-47.9207 - 34.4182i) q^{59} -63.9308 q^{60} +(101.855 + 40.5826i) q^{61} +(-84.3483 - 9.17343i) q^{62} +(15.8154 + 14.9811i) q^{63} +(52.6648 - 62.0018i) q^{64} +(38.4332 + 20.3760i) q^{65} +(46.3485 + 27.8870i) q^{66} +(41.1357 + 88.9134i) q^{67} +(-36.0368 - 7.93230i) q^{68} +(34.6326 - 18.3610i) q^{69} +(120.131 + 6.51330i) q^{70} +(19.5260 + 22.9878i) q^{71} +(7.86110 + 35.7134i) q^{72} +(68.5612 + 90.1907i) q^{73} +(101.781 - 96.4121i) q^{74} +(-0.121848 - 2.24735i) q^{75} +(115.464 - 69.4721i) q^{76} +(-55.1533 - 37.3949i) q^{77} +(14.0907 - 50.7501i) q^{78} +(-78.5317 + 8.54083i) q^{79} +(43.2367 + 32.8677i) q^{80} +(8.16818 + 3.77900i) q^{81} +(16.3611 - 11.0931i) q^{82} +(15.7877 + 46.8563i) q^{83} +(-15.4272 - 94.1015i) q^{84} +(-3.83319 + 23.3814i) q^{85} +(-213.582 - 71.9643i) q^{86} +(19.1906 + 69.1181i) q^{87} +(-41.4025 - 103.912i) q^{88} +(-31.7170 + 12.6372i) q^{89} +(47.8919 - 13.2971i) q^{90} +(-20.7177 + 61.4879i) q^{91} +(-169.326 - 27.7595i) q^{92} +(42.6132 - 6.98607i) q^{93} +(85.9456 - 28.9584i) q^{94} +(-48.5572 - 71.6165i) q^{95} +(-7.84837 + 16.9640i) q^{96} +(-47.2853 + 62.2028i) q^{97} +(1.37211 + 12.6164i) q^{98} +(-26.5262 - 7.36496i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.16149 + 1.25965i 1.58075 + 0.629827i 0.984877 0.173255i \(-0.0554284\pi\)
0.595869 + 0.803082i \(0.296808\pi\)
\(3\) −1.72190 0.187268i −0.573966 0.0624225i
\(4\) 5.50432 + 5.21397i 1.37608 + 1.30349i
\(5\) 3.15169 3.71045i 0.630337 0.742090i −0.350576 0.936534i \(-0.614014\pi\)
0.980914 + 0.194444i \(0.0622902\pi\)
\(6\) −5.20787 2.76104i −0.867979 0.460173i
\(7\) 6.22205 + 3.74368i 0.888864 + 0.534812i 0.885215 0.465181i \(-0.154011\pi\)
0.00364895 + 0.999993i \(0.498839\pi\)
\(8\) 5.11821 + 11.0628i 0.639776 + 1.38285i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) 14.6379 7.76053i 1.46379 0.776053i
\(11\) −9.16309 0.496808i −0.833008 0.0451644i −0.367300 0.930103i \(-0.619718\pi\)
−0.465708 + 0.884938i \(0.654200\pi\)
\(12\) −8.50147 10.0087i −0.708456 0.834059i
\(13\) 1.92085 + 8.72651i 0.147758 + 0.671270i 0.991014 + 0.133758i \(0.0427046\pi\)
−0.843256 + 0.537512i \(0.819364\pi\)
\(14\) 14.9552 + 19.6733i 1.06823 + 1.40523i
\(15\) −6.12173 + 5.79881i −0.408115 + 0.386587i
\(16\) 0.603975 + 11.1397i 0.0377484 + 0.696229i
\(17\) −4.17022 + 2.50914i −0.245307 + 0.147596i −0.632898 0.774235i \(-0.718135\pi\)
0.387591 + 0.921831i \(0.373307\pi\)
\(18\) 8.45037 + 5.72949i 0.469465 + 0.318305i
\(19\) 4.75485 17.1254i 0.250255 0.901337i −0.726533 0.687131i \(-0.758870\pi\)
0.976788 0.214206i \(-0.0687164\pi\)
\(20\) 36.6941 3.99072i 1.83470 0.199536i
\(21\) −10.0127 7.61143i −0.476793 0.362449i
\(22\) −28.3432 13.1130i −1.28833 0.596044i
\(23\) −18.7318 + 12.7005i −0.814425 + 0.552194i −0.895783 0.444491i \(-0.853385\pi\)
0.0813580 + 0.996685i \(0.474074\pi\)
\(24\) −6.74132 20.0075i −0.280888 0.833647i
\(25\) 0.210222 + 1.28230i 0.00840889 + 0.0512919i
\(26\) −4.91963 + 30.0084i −0.189217 + 1.15417i
\(27\) −4.92415 1.65914i −0.182376 0.0614496i
\(28\) 14.7287 + 53.0480i 0.526025 + 1.89457i
\(29\) −15.3293 38.4735i −0.528595 1.32667i −0.914668 0.404205i \(-0.867548\pi\)
0.386073 0.922468i \(-0.373831\pi\)
\(30\) −26.6583 + 10.6216i −0.888610 + 0.354054i
\(31\) −24.0224 + 6.66979i −0.774916 + 0.215155i −0.632404 0.774639i \(-0.717932\pi\)
−0.142512 + 0.989793i \(0.545518\pi\)
\(32\) 3.44576 10.2267i 0.107680 0.319583i
\(33\) 15.6849 + 2.57140i 0.475299 + 0.0779213i
\(34\) −16.3448 + 2.67959i −0.480728 + 0.0788114i
\(35\) 33.5007 11.2877i 0.957163 0.322506i
\(36\) 12.7644 + 18.8260i 0.354565 + 0.522945i
\(37\) 17.2974 37.3877i 0.467497 1.01048i −0.520193 0.854049i \(-0.674140\pi\)
0.987689 0.156429i \(-0.0499981\pi\)
\(38\) 36.6045 48.1524i 0.963276 1.26717i
\(39\) −1.67331 15.3859i −0.0429055 0.394510i
\(40\) 57.1791 + 15.8757i 1.42948 + 0.396892i
\(41\) 3.25961 4.80757i 0.0795028 0.117258i −0.785859 0.618406i \(-0.787779\pi\)
0.865361 + 0.501149i \(0.167089\pi\)
\(42\) −22.0672 36.6760i −0.525409 0.873237i
\(43\) −66.1289 + 3.58540i −1.53788 + 0.0833815i −0.803479 0.595333i \(-0.797020\pi\)
−0.734402 + 0.678714i \(0.762537\pi\)
\(44\) −47.8463 50.5107i −1.08742 1.14797i
\(45\) 11.6269 8.83855i 0.258376 0.196412i
\(46\) −75.2186 + 16.5569i −1.63519 + 0.359932i
\(47\) 20.3111 17.2524i 0.432152 0.367073i −0.404749 0.914428i \(-0.632641\pi\)
0.836901 + 0.547355i \(0.184365\pi\)
\(48\) 1.04612 19.2945i 0.0217941 0.401968i
\(49\) 1.74673 + 3.29468i 0.0356475 + 0.0672384i
\(50\) −0.950636 + 4.31878i −0.0190127 + 0.0863757i
\(51\) 7.65057 3.53953i 0.150011 0.0694025i
\(52\) −34.9268 + 58.0488i −0.671669 + 1.11632i
\(53\) −17.3870 + 32.7953i −0.328056 + 0.618780i −0.991598 0.129360i \(-0.958708\pi\)
0.663541 + 0.748140i \(0.269053\pi\)
\(54\) −13.4777 11.4481i −0.249587 0.212001i
\(55\) −30.7226 + 32.4334i −0.558592 + 0.589699i
\(56\) −9.56997 + 87.9944i −0.170892 + 1.57133i
\(57\) −11.3944 + 28.5978i −0.199902 + 0.501715i
\(58\) 140.943i 2.43006i
\(59\) −47.9207 34.4182i −0.812214 0.583359i
\(60\) −63.9308 −1.06551
\(61\) 101.855 + 40.5826i 1.66975 + 0.665289i 0.997201 0.0747645i \(-0.0238205\pi\)
0.672548 + 0.740053i \(0.265200\pi\)
\(62\) −84.3483 9.17343i −1.36046 0.147959i
\(63\) 15.8154 + 14.9811i 0.251038 + 0.237796i
\(64\) 52.6648 62.0018i 0.822888 0.968779i
\(65\) 38.4332 + 20.3760i 0.591281 + 0.313477i
\(66\) 46.3485 + 27.8870i 0.702250 + 0.422530i
\(67\) 41.1357 + 88.9134i 0.613966 + 1.32707i 0.926190 + 0.377057i \(0.123064\pi\)
−0.312224 + 0.950009i \(0.601074\pi\)
\(68\) −36.0368 7.93230i −0.529953 0.116651i
\(69\) 34.6326 18.3610i 0.501922 0.266102i
\(70\) 120.131 + 6.51330i 1.71615 + 0.0930472i
\(71\) 19.5260 + 22.9878i 0.275014 + 0.323772i 0.882278 0.470728i \(-0.156009\pi\)
−0.607264 + 0.794500i \(0.707733\pi\)
\(72\) 7.86110 + 35.7134i 0.109182 + 0.496019i
\(73\) 68.5612 + 90.1907i 0.939194 + 1.23549i 0.971749 + 0.236019i \(0.0758426\pi\)
−0.0325546 + 0.999470i \(0.510364\pi\)
\(74\) 101.781 96.4121i 1.37542 1.30287i
\(75\) −0.121848 2.24735i −0.00162464 0.0299647i
\(76\) 115.464 69.4721i 1.51926 0.914107i
\(77\) −55.1533 37.3949i −0.716277 0.485648i
\(78\) 14.0907 50.7501i 0.180650 0.650643i
\(79\) −78.5317 + 8.54083i −0.994072 + 0.108112i −0.590672 0.806912i \(-0.701137\pi\)
−0.403400 + 0.915024i \(0.632172\pi\)
\(80\) 43.2367 + 32.8677i 0.540459 + 0.410846i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) 16.3611 11.0931i 0.199526 0.135282i
\(83\) 15.7877 + 46.8563i 0.190214 + 0.564534i 0.999746 0.0225416i \(-0.00717582\pi\)
−0.809532 + 0.587075i \(0.800279\pi\)
\(84\) −15.4272 94.1015i −0.183657 1.12026i
\(85\) −3.83319 + 23.3814i −0.0450963 + 0.275075i
\(86\) −213.582 71.9643i −2.48352 0.836794i
\(87\) 19.1906 + 69.1181i 0.220581 + 0.794461i
\(88\) −41.4025 103.912i −0.470483 1.18082i
\(89\) −31.7170 + 12.6372i −0.356371 + 0.141991i −0.541451 0.840732i \(-0.682125\pi\)
0.185080 + 0.982723i \(0.440745\pi\)
\(90\) 47.8919 13.2971i 0.532132 0.147746i
\(91\) −20.7177 + 61.4879i −0.227667 + 0.675691i
\(92\) −169.326 27.7595i −1.84050 0.301734i
\(93\) 42.6132 6.98607i 0.458206 0.0751191i
\(94\) 85.9456 28.9584i 0.914315 0.308069i
\(95\) −48.5572 71.6165i −0.511129 0.753858i
\(96\) −7.84837 + 16.9640i −0.0817539 + 0.176708i
\(97\) −47.2853 + 62.2028i −0.487478 + 0.641266i −0.972408 0.233287i \(-0.925052\pi\)
0.484930 + 0.874553i \(0.338845\pi\)
\(98\) 1.37211 + 12.6164i 0.0140012 + 0.128739i
\(99\) −26.5262 7.36496i −0.267941 0.0743935i
\(100\) −5.52874 + 8.15428i −0.0552874 + 0.0815428i
\(101\) 7.58440 + 12.6054i 0.0750931 + 0.124806i 0.892128 0.451782i \(-0.149212\pi\)
−0.817035 + 0.576588i \(0.804384\pi\)
\(102\) 28.6458 1.55313i 0.280841 0.0152268i
\(103\) 118.802 + 125.418i 1.15342 + 1.21765i 0.972187 + 0.234207i \(0.0752495\pi\)
0.181231 + 0.983441i \(0.441992\pi\)
\(104\) −86.7086 + 65.9142i −0.833737 + 0.633790i
\(105\) −59.7986 + 13.1627i −0.569511 + 0.125359i
\(106\) −96.2796 + 81.7806i −0.908298 + 0.771515i
\(107\) 2.88916 53.2875i 0.0270015 0.498014i −0.953487 0.301435i \(-0.902534\pi\)
0.980488 0.196578i \(-0.0629830\pi\)
\(108\) −18.4534 34.8068i −0.170865 0.322285i
\(109\) 32.0171 145.455i 0.293734 1.33445i −0.566294 0.824203i \(-0.691623\pi\)
0.860029 0.510246i \(-0.170446\pi\)
\(110\) −137.984 + 63.8382i −1.25440 + 0.580347i
\(111\) −36.7858 + 61.1385i −0.331404 + 0.550797i
\(112\) −37.9454 + 71.5727i −0.338798 + 0.639042i
\(113\) −135.537 115.126i −1.19944 1.01882i −0.999237 0.0390638i \(-0.987562\pi\)
−0.200208 0.979753i \(-0.564162\pi\)
\(114\) −72.0466 + 76.0586i −0.631987 + 0.667181i
\(115\) −11.9122 + 109.531i −0.103585 + 0.952446i
\(116\) 116.223 291.697i 1.00192 2.51463i
\(117\) 26.8063i 0.229113i
\(118\) −108.146 169.176i −0.916490 1.43370i
\(119\) −35.3407 −0.296981
\(120\) −95.4835 38.0441i −0.795696 0.317034i
\(121\) −36.5753 3.97780i −0.302275 0.0328744i
\(122\) 270.893 + 256.603i 2.22043 + 2.10331i
\(123\) −6.51302 + 7.66772i −0.0529514 + 0.0623392i
\(124\) −167.003 88.5395i −1.34680 0.714028i
\(125\) 109.707 + 66.0085i 0.877655 + 0.528068i
\(126\) 31.1292 + 67.2847i 0.247057 + 0.534006i
\(127\) −38.1841 8.40495i −0.300662 0.0661807i 0.0620774 0.998071i \(-0.480227\pi\)
−0.362739 + 0.931891i \(0.618158\pi\)
\(128\) 206.462 109.459i 1.61299 0.855152i
\(129\) 114.539 + 6.21010i 0.887896 + 0.0481403i
\(130\) 95.8397 + 112.831i 0.737228 + 0.867932i
\(131\) 8.68081 + 39.4373i 0.0662657 + 0.301048i 0.998084 0.0618776i \(-0.0197088\pi\)
−0.931818 + 0.362926i \(0.881778\pi\)
\(132\) 72.9273 + 95.9343i 0.552480 + 0.726775i
\(133\) 93.6970 88.7545i 0.704489 0.667327i
\(134\) 18.0502 + 332.916i 0.134703 + 2.48445i
\(135\) −21.6755 + 13.0417i −0.160560 + 0.0966055i
\(136\) −49.1022 33.2921i −0.361046 0.244795i
\(137\) 42.4501 152.891i 0.309854 1.11600i −0.630609 0.776101i \(-0.717195\pi\)
0.940464 0.339894i \(-0.110391\pi\)
\(138\) 132.619 14.4232i 0.961009 0.104516i
\(139\) 33.6001 + 25.5421i 0.241727 + 0.183756i 0.719023 0.694987i \(-0.244590\pi\)
−0.477295 + 0.878743i \(0.658383\pi\)
\(140\) 243.252 + 112.541i 1.73752 + 0.803861i
\(141\) −38.2045 + 25.9033i −0.270954 + 0.183711i
\(142\) 32.7747 + 97.2718i 0.230808 + 0.685013i
\(143\) −13.2655 80.9161i −0.0927659 0.565847i
\(144\) −5.41453 + 33.0272i −0.0376009 + 0.229355i
\(145\) −191.067 64.3780i −1.31770 0.443986i
\(146\) 103.147 + 371.500i 0.706483 + 2.54452i
\(147\) −2.39070 6.00021i −0.0162633 0.0408177i
\(148\) 290.149 115.606i 1.96046 0.781120i
\(149\) 270.685 75.1554i 1.81668 0.504399i 0.819082 0.573676i \(-0.194483\pi\)
0.997597 + 0.0692773i \(0.0220693\pi\)
\(150\) 2.44567 7.25848i 0.0163044 0.0483899i
\(151\) 238.685 + 39.1305i 1.58070 + 0.259142i 0.887224 0.461339i \(-0.152631\pi\)
0.693474 + 0.720482i \(0.256079\pi\)
\(152\) 213.792 35.0494i 1.40652 0.230588i
\(153\) −13.8363 + 4.66200i −0.0904335 + 0.0304706i
\(154\) −127.262 187.698i −0.826378 1.21882i
\(155\) −50.9632 + 110.155i −0.328795 + 0.710678i
\(156\) 71.0111 93.4134i 0.455199 0.598804i
\(157\) 4.89152 + 44.9768i 0.0311562 + 0.286476i 0.999343 + 0.0362473i \(0.0115404\pi\)
−0.968187 + 0.250229i \(0.919494\pi\)
\(158\) −259.036 71.9209i −1.63947 0.455196i
\(159\) 36.0801 53.2142i 0.226919 0.334681i
\(160\) −27.0856 45.0166i −0.169285 0.281354i
\(161\) −164.097 + 8.89706i −1.01923 + 0.0552612i
\(162\) 21.0634 + 22.2364i 0.130021 + 0.137261i
\(163\) −211.138 + 160.503i −1.29532 + 0.984680i −0.295758 + 0.955263i \(0.595572\pi\)
−0.999567 + 0.0294175i \(0.990635\pi\)
\(164\) 43.0085 9.46689i 0.262247 0.0577249i
\(165\) 58.9749 50.0937i 0.357423 0.303598i
\(166\) −9.10993 + 168.023i −0.0548791 + 1.01219i
\(167\) 51.8519 + 97.8030i 0.310490 + 0.585647i 0.988821 0.149110i \(-0.0476410\pi\)
−0.678330 + 0.734757i \(0.737296\pi\)
\(168\) 32.9570 149.725i 0.196173 0.891222i
\(169\) 80.9179 37.4366i 0.478804 0.221518i
\(170\) −41.5711 + 69.0916i −0.244536 + 0.406421i
\(171\) 24.9754 47.1086i 0.146055 0.275489i
\(172\) −382.689 325.059i −2.22494 1.88988i
\(173\) 189.508 200.061i 1.09542 1.15642i 0.108688 0.994076i \(-0.465335\pi\)
0.986734 0.162346i \(-0.0519062\pi\)
\(174\) −26.3941 + 242.690i −0.151690 + 1.39477i
\(175\) −3.49251 + 8.76553i −0.0199572 + 0.0500887i
\(176\) 102.374i 0.581670i
\(177\) 76.0690 + 68.2386i 0.429769 + 0.385529i
\(178\) −116.191 −0.652761
\(179\) 101.368 + 40.3888i 0.566303 + 0.225636i 0.635677 0.771955i \(-0.280721\pi\)
−0.0693745 + 0.997591i \(0.522100\pi\)
\(180\) 110.082 + 11.9722i 0.611568 + 0.0665120i
\(181\) −40.0937 37.9788i −0.221512 0.209828i 0.568894 0.822411i \(-0.307372\pi\)
−0.790406 + 0.612584i \(0.790130\pi\)
\(182\) −142.952 + 168.296i −0.785452 + 0.924705i
\(183\) −167.784 88.9532i −0.916850 0.486083i
\(184\) −236.376 142.223i −1.28465 0.772951i
\(185\) −84.2093 182.015i −0.455185 0.983867i
\(186\) 143.521 + 31.5914i 0.771619 + 0.169846i
\(187\) 39.4586 20.9196i 0.211009 0.111870i
\(188\) 201.753 + 10.9387i 1.07315 + 0.0581847i
\(189\) −24.4270 28.7577i −0.129243 0.152157i
\(190\) −63.3012 287.580i −0.333164 1.51358i
\(191\) 148.835 + 195.789i 0.779240 + 1.02507i 0.998776 + 0.0494680i \(0.0157526\pi\)
−0.219536 + 0.975604i \(0.570454\pi\)
\(192\) −102.294 + 96.8984i −0.532783 + 0.504679i
\(193\) 7.11877 + 131.298i 0.0368848 + 0.680300i 0.957254 + 0.289249i \(0.0934056\pi\)
−0.920369 + 0.391051i \(0.872112\pi\)
\(194\) −227.846 + 137.090i −1.17446 + 0.706652i
\(195\) −62.3623 42.2827i −0.319807 0.216834i
\(196\) −7.56381 + 27.2424i −0.0385909 + 0.138992i
\(197\) −8.25072 + 0.897320i −0.0418818 + 0.00455492i −0.129036 0.991640i \(-0.541188\pi\)
0.0871541 + 0.996195i \(0.472223\pi\)
\(198\) −74.5850 56.6981i −0.376692 0.286354i
\(199\) −256.892 118.851i −1.29092 0.597242i −0.350276 0.936646i \(-0.613912\pi\)
−0.940640 + 0.339405i \(0.889774\pi\)
\(200\) −13.1099 + 8.88872i −0.0655494 + 0.0444436i
\(201\) −54.1809 160.803i −0.269557 0.800016i
\(202\) 8.09962 + 49.4055i 0.0400971 + 0.244582i
\(203\) 48.6533 296.772i 0.239671 1.46193i
\(204\) 60.5662 + 20.4071i 0.296893 + 0.100035i
\(205\) −7.56498 27.2466i −0.0369023 0.132910i
\(206\) 217.609 + 546.157i 1.05635 + 2.65125i
\(207\) −63.0722 + 25.1303i −0.304697 + 0.121402i
\(208\) −96.0503 + 26.6682i −0.461780 + 0.128213i
\(209\) −52.0771 + 154.559i −0.249173 + 0.739519i
\(210\) −205.633 33.7119i −0.979206 0.160533i
\(211\) −107.557 + 17.6331i −0.509749 + 0.0835691i −0.411167 0.911560i \(-0.634879\pi\)
−0.0985816 + 0.995129i \(0.531431\pi\)
\(212\) −266.698 + 89.8609i −1.25801 + 0.423872i
\(213\) −29.3169 43.2393i −0.137638 0.203001i
\(214\) 76.2578 164.829i 0.356345 0.770227i
\(215\) −195.114 + 256.668i −0.907507 + 1.19381i
\(216\) −6.84806 62.9669i −0.0317040 0.291513i
\(217\) −174.438 48.4325i −0.803863 0.223191i
\(218\) 284.444 419.524i 1.30479 1.92442i
\(219\) −101.165 168.138i −0.461943 0.767755i
\(220\) −338.214 + 18.3374i −1.53734 + 0.0833519i
\(221\) −29.9064 31.5718i −0.135323 0.142859i
\(222\) −193.311 + 146.951i −0.870772 + 0.661944i
\(223\) 52.8575 11.6348i 0.237029 0.0521740i −0.0948672 0.995490i \(-0.530243\pi\)
0.331896 + 0.943316i \(0.392312\pi\)
\(224\) 59.7251 50.7309i 0.266630 0.226477i
\(225\) −0.211047 + 3.89253i −0.000937986 + 0.0173001i
\(226\) −283.481 534.701i −1.25434 2.36593i
\(227\) 61.9264 281.335i 0.272804 1.23936i −0.618439 0.785833i \(-0.712235\pi\)
0.891243 0.453527i \(-0.149834\pi\)
\(228\) −211.826 + 98.0013i −0.929063 + 0.429830i
\(229\) −81.7210 + 135.821i −0.356860 + 0.593106i −0.982333 0.187140i \(-0.940078\pi\)
0.625473 + 0.780246i \(0.284906\pi\)
\(230\) −175.632 + 331.277i −0.763617 + 1.44033i
\(231\) 87.9655 + 74.7186i 0.380803 + 0.323457i
\(232\) 347.168 366.501i 1.49641 1.57974i
\(233\) 43.5652 400.575i 0.186975 1.71921i −0.405904 0.913916i \(-0.633043\pi\)
0.592879 0.805291i \(-0.297991\pi\)
\(234\) −33.7666 + 84.7478i −0.144302 + 0.362170i
\(235\) 129.738i 0.552076i
\(236\) −84.3153 439.306i −0.357268 1.86146i
\(237\) 136.823 0.577312
\(238\) −111.729 44.5171i −0.469451 0.187046i
\(239\) 116.237 + 12.6415i 0.486347 + 0.0528935i 0.348008 0.937491i \(-0.386858\pi\)
0.138339 + 0.990385i \(0.455824\pi\)
\(240\) −68.2942 64.6917i −0.284559 0.269549i
\(241\) 191.516 225.470i 0.794672 0.935560i −0.204389 0.978890i \(-0.565521\pi\)
0.999061 + 0.0433296i \(0.0137966\pi\)
\(242\) −110.622 58.6480i −0.457115 0.242347i
\(243\) −13.3571 8.03669i −0.0549674 0.0330728i
\(244\) 349.045 + 754.447i 1.43051 + 3.09200i
\(245\) 17.7299 + 3.90265i 0.0723669 + 0.0159292i
\(246\) −30.2495 + 16.0373i −0.122966 + 0.0651922i
\(247\) 158.578 + 8.59788i 0.642018 + 0.0348092i
\(248\) −196.739 231.618i −0.793300 0.933946i
\(249\) −18.4102 83.6383i −0.0739364 0.335897i
\(250\) 263.690 + 346.878i 1.05476 + 1.38751i
\(251\) −155.423 + 147.224i −0.619214 + 0.586551i −0.931636 0.363393i \(-0.881618\pi\)
0.312422 + 0.949943i \(0.398860\pi\)
\(252\) 8.94182 + 164.922i 0.0354834 + 0.654453i
\(253\) 177.951 107.069i 0.703363 0.423199i
\(254\) −110.131 74.6709i −0.433588 0.293980i
\(255\) 10.9789 39.5426i 0.0430546 0.155069i
\(256\) 467.118 50.8021i 1.82468 0.198446i
\(257\) −69.2161 52.6167i −0.269324 0.204734i 0.461792 0.886988i \(-0.347207\pi\)
−0.731115 + 0.682254i \(0.761000\pi\)
\(258\) 354.290 + 163.912i 1.37322 + 0.635318i
\(259\) 247.593 167.872i 0.955957 0.648155i
\(260\) 105.309 + 312.546i 0.405035 + 1.20210i
\(261\) −20.1006 122.608i −0.0770137 0.469763i
\(262\) −22.2330 + 135.616i −0.0848590 + 0.517617i
\(263\) −338.250 113.970i −1.28612 0.433345i −0.408526 0.912746i \(-0.633957\pi\)
−0.877596 + 0.479401i \(0.840854\pi\)
\(264\) 51.8315 + 186.680i 0.196331 + 0.707121i
\(265\) 66.8872 + 167.874i 0.252405 + 0.633488i
\(266\) 408.022 162.571i 1.53392 0.611169i
\(267\) 56.9799 15.8204i 0.213408 0.0592524i
\(268\) −237.168 + 703.889i −0.884954 + 2.62645i
\(269\) −262.564 43.0451i −0.976073 0.160019i −0.347424 0.937708i \(-0.612943\pi\)
−0.628649 + 0.777689i \(0.716392\pi\)
\(270\) −84.9551 + 13.9277i −0.314649 + 0.0515840i
\(271\) −170.770 + 57.5392i −0.630149 + 0.212322i −0.616211 0.787581i \(-0.711333\pi\)
−0.0139376 + 0.999903i \(0.504437\pi\)
\(272\) −30.4697 44.9394i −0.112021 0.165218i
\(273\) 47.1884 101.996i 0.172851 0.373612i
\(274\) 326.796 429.892i 1.19268 1.56895i
\(275\) −1.28923 11.8543i −0.00468810 0.0431064i
\(276\) 286.363 + 79.5083i 1.03755 + 0.288073i
\(277\) −60.6678 + 89.4783i −0.219017 + 0.323027i −0.921286 0.388885i \(-0.872860\pi\)
0.702269 + 0.711912i \(0.252171\pi\)
\(278\) 74.0522 + 123.076i 0.266375 + 0.442719i
\(279\) −74.6838 + 4.04924i −0.267684 + 0.0145134i
\(280\) 296.338 + 312.840i 1.05835 + 1.11729i
\(281\) −412.260 + 313.392i −1.46712 + 1.11528i −0.498451 + 0.866918i \(0.666097\pi\)
−0.968669 + 0.248357i \(0.920109\pi\)
\(282\) −153.412 + 33.7686i −0.544016 + 0.119747i
\(283\) 223.184 189.574i 0.788635 0.669873i −0.159692 0.987167i \(-0.551050\pi\)
0.948327 + 0.317294i \(0.102774\pi\)
\(284\) −12.3803 + 228.340i −0.0435925 + 0.804016i
\(285\) 70.1991 + 132.410i 0.246313 + 0.464595i
\(286\) 59.9874 272.526i 0.209746 0.952887i
\(287\) 38.2795 17.7100i 0.133378 0.0617072i
\(288\) 16.6909 27.7405i 0.0579545 0.0963211i
\(289\) −124.275 + 234.408i −0.430018 + 0.811099i
\(290\) −522.963 444.209i −1.80332 1.53176i
\(291\) 93.0691 98.2518i 0.319825 0.337635i
\(292\) −92.8688 + 853.914i −0.318044 + 2.92436i
\(293\) −156.781 + 393.489i −0.535087 + 1.34297i 0.374412 + 0.927262i \(0.377844\pi\)
−0.909500 + 0.415705i \(0.863535\pi\)
\(294\) 21.9811i 0.0747655i
\(295\) −278.738 + 69.3320i −0.944874 + 0.235024i
\(296\) 502.145 1.69644
\(297\) 44.2962 + 17.6492i 0.149145 + 0.0594249i
\(298\) 950.439 + 103.366i 3.18939 + 0.346867i
\(299\) −146.812 139.067i −0.491009 0.465109i
\(300\) 11.0469 13.0055i 0.0368232 0.0433516i
\(301\) −424.880 225.257i −1.41156 0.748362i
\(302\) 705.311 + 424.372i 2.33547 + 1.40520i
\(303\) −10.6990 23.1255i −0.0353102 0.0763217i
\(304\) 193.643 + 42.6241i 0.636984 + 0.140211i
\(305\) 471.594 250.023i 1.54621 0.819749i
\(306\) −49.6160 2.69010i −0.162144 0.00879117i
\(307\) 24.0649 + 28.3314i 0.0783872 + 0.0922846i 0.799958 0.600056i \(-0.204855\pi\)
−0.721570 + 0.692341i \(0.756579\pi\)
\(308\) −108.606 493.401i −0.352616 1.60195i
\(309\) −181.078 238.204i −0.586013 0.770888i
\(310\) −299.877 + 284.059i −0.967345 + 0.916318i
\(311\) −10.5141 193.922i −0.0338075 0.623543i −0.965517 0.260339i \(-0.916166\pi\)
0.931710 0.363204i \(-0.118317\pi\)
\(312\) 161.647 97.2598i 0.518099 0.311730i
\(313\) 443.396 + 300.630i 1.41660 + 0.960479i 0.998647 + 0.0520106i \(0.0165629\pi\)
0.417954 + 0.908468i \(0.362747\pi\)
\(314\) −41.1907 + 148.355i −0.131180 + 0.472469i
\(315\) 105.432 11.4664i 0.334705 0.0364013i
\(316\) −476.795 362.450i −1.50885 1.14699i
\(317\) 108.358 + 50.1317i 0.341823 + 0.158144i 0.583288 0.812265i \(-0.301766\pi\)
−0.241465 + 0.970410i \(0.577628\pi\)
\(318\) 181.098 122.788i 0.569492 0.386125i
\(319\) 121.349 + 360.152i 0.380406 + 1.12900i
\(320\) −64.0718 390.821i −0.200224 1.22131i
\(321\) −14.9539 + 91.2145i −0.0465852 + 0.284157i
\(322\) −529.997 178.577i −1.64595 0.554587i
\(323\) 23.1412 + 83.3472i 0.0716447 + 0.258041i
\(324\) 25.2567 + 63.3895i 0.0779527 + 0.195647i
\(325\) −10.7862 + 4.29761i −0.0331883 + 0.0132234i
\(326\) −869.689 + 241.468i −2.66776 + 0.740699i
\(327\) −82.3691 + 244.463i −0.251893 + 0.747592i
\(328\) 69.8687 + 11.4544i 0.213014 + 0.0349219i
\(329\) 190.965 31.3071i 0.580439 0.0951582i
\(330\) 249.549 84.0829i 0.756210 0.254797i
\(331\) −296.972 438.002i −0.897198 1.32327i −0.945901 0.324455i \(-0.894819\pi\)
0.0487035 0.998813i \(-0.484491\pi\)
\(332\) −157.407 + 340.229i −0.474116 + 1.02479i
\(333\) 74.7907 98.3854i 0.224597 0.295452i
\(334\) 40.7314 + 374.519i 0.121950 + 1.12131i
\(335\) 459.556 + 127.595i 1.37181 + 0.380881i
\(336\) 78.7414 116.135i 0.234349 0.345639i
\(337\) 68.5519 + 113.934i 0.203418 + 0.338083i 0.941726 0.336380i \(-0.109203\pi\)
−0.738308 + 0.674463i \(0.764375\pi\)
\(338\) 302.978 16.4270i 0.896385 0.0486006i
\(339\) 211.822 + 223.618i 0.624843 + 0.659639i
\(340\) −143.009 + 108.713i −0.420615 + 0.319743i
\(341\) 223.433 49.1814i 0.655229 0.144227i
\(342\) 138.300 117.473i 0.404386 0.343489i
\(343\) 17.7973 328.252i 0.0518872 0.957002i
\(344\) −378.126 713.222i −1.09920 2.07332i
\(345\) 41.0233 186.371i 0.118908 0.540205i
\(346\) 851.135 393.777i 2.45993 1.13808i
\(347\) −183.150 + 304.397i −0.527808 + 0.877225i −0.999991 0.00427634i \(-0.998639\pi\)
0.472182 + 0.881501i \(0.343466\pi\)
\(348\) −254.749 + 480.507i −0.732037 + 1.38077i
\(349\) −11.7287 9.96248i −0.0336067 0.0285458i 0.630426 0.776250i \(-0.282880\pi\)
−0.664032 + 0.747704i \(0.731156\pi\)
\(350\) −22.0831 + 23.3128i −0.0630945 + 0.0666080i
\(351\) 5.01994 46.1576i 0.0143018 0.131503i
\(352\) −36.6545 + 91.9959i −0.104132 + 0.261352i
\(353\) 169.562i 0.480345i 0.970730 + 0.240172i \(0.0772040\pi\)
−0.970730 + 0.240172i \(0.922796\pi\)
\(354\) 154.535 + 311.556i 0.436539 + 0.880103i
\(355\) 146.835 0.413620
\(356\) −240.470 95.8122i −0.675479 0.269135i
\(357\) 60.8531 + 6.61817i 0.170457 + 0.0185383i
\(358\) 269.599 + 255.378i 0.753069 + 0.713345i
\(359\) −291.143 + 342.760i −0.810984 + 0.954764i −0.999628 0.0272819i \(-0.991315\pi\)
0.188644 + 0.982045i \(0.439591\pi\)
\(360\) 157.288 + 83.3891i 0.436912 + 0.231636i
\(361\) 38.6544 + 23.2576i 0.107076 + 0.0644254i
\(362\) −78.9158 170.574i −0.218000 0.471198i
\(363\) 62.2340 + 13.6987i 0.171443 + 0.0377375i
\(364\) −434.633 + 230.428i −1.19405 + 0.633043i
\(365\) 550.731 + 29.8598i 1.50885 + 0.0818076i
\(366\) −418.396 492.574i −1.14316 1.34583i
\(367\) −137.377 624.111i −0.374325 1.70058i −0.667578 0.744540i \(-0.732669\pi\)
0.293253 0.956035i \(-0.405262\pi\)
\(368\) −152.792 200.995i −0.415197 0.546182i
\(369\) 12.6507 11.9834i 0.0342837 0.0324752i
\(370\) −36.9506 681.514i −0.0998666 1.84193i
\(371\) −230.958 + 138.963i −0.622529 + 0.374563i
\(372\) 270.982 + 183.730i 0.728446 + 0.493898i
\(373\) −19.8729 + 71.5758i −0.0532786 + 0.191892i −0.985400 0.170253i \(-0.945542\pi\)
0.932122 + 0.362145i \(0.117955\pi\)
\(374\) 151.100 16.4331i 0.404010 0.0439387i
\(375\) −176.543 134.204i −0.470781 0.357878i
\(376\) 294.817 + 136.397i 0.784089 + 0.362758i
\(377\) 306.295 207.673i 0.812452 0.550856i
\(378\) −41.0011 121.687i −0.108468 0.321923i
\(379\) 20.9130 + 127.564i 0.0551794 + 0.336579i 0.999961 + 0.00887750i \(0.00282583\pi\)
−0.944781 + 0.327702i \(0.893726\pi\)
\(380\) 106.132 647.377i 0.279295 1.70362i
\(381\) 64.1751 + 21.6231i 0.168439 + 0.0567536i
\(382\) 223.914 + 806.465i 0.586162 + 2.11117i
\(383\) 195.425 + 490.480i 0.510249 + 1.28063i 0.928174 + 0.372146i \(0.121378\pi\)
−0.417925 + 0.908481i \(0.637243\pi\)
\(384\) −376.005 + 149.814i −0.979180 + 0.390141i
\(385\) −312.578 + 86.7868i −0.811891 + 0.225420i
\(386\) −142.884 + 424.065i −0.370166 + 1.09861i
\(387\) −196.061 32.1425i −0.506617 0.0830556i
\(388\) −584.597 + 95.8399i −1.50669 + 0.247010i
\(389\) 402.052 135.467i 1.03355 0.348244i 0.249129 0.968470i \(-0.419856\pi\)
0.784423 + 0.620226i \(0.212959\pi\)
\(390\) −143.896 212.231i −0.368965 0.544183i
\(391\) 46.2484 99.9643i 0.118282 0.255663i
\(392\) −27.5084 + 36.1866i −0.0701744 + 0.0923129i
\(393\) −7.56213 69.5327i −0.0192421 0.176928i
\(394\) −27.2149 7.55618i −0.0690734 0.0191781i
\(395\) −215.817 + 318.306i −0.546372 + 0.805838i
\(396\) −107.608 178.846i −0.271737 0.451631i
\(397\) 232.881 12.6264i 0.586602 0.0318046i 0.241550 0.970388i \(-0.422344\pi\)
0.345052 + 0.938584i \(0.387861\pi\)
\(398\) −662.452 699.342i −1.66445 1.75714i
\(399\) −177.957 + 135.280i −0.446009 + 0.339047i
\(400\) −14.1574 + 3.11628i −0.0353935 + 0.00779070i
\(401\) −230.599 + 195.872i −0.575060 + 0.488460i −0.887080 0.461615i \(-0.847270\pi\)
0.312021 + 0.950075i \(0.398994\pi\)
\(402\) 31.2638 576.627i 0.0777707 1.43440i
\(403\) −104.347 196.820i −0.258927 0.488388i
\(404\) −23.9771 + 108.929i −0.0593492 + 0.269626i
\(405\) 39.7653 18.3974i 0.0981860 0.0454257i
\(406\) 527.647 876.956i 1.29962 2.15999i
\(407\) −177.072 + 333.993i −0.435066 + 0.820622i
\(408\) 78.3144 + 66.5209i 0.191947 + 0.163041i
\(409\) −229.483 + 242.262i −0.561083 + 0.592328i −0.943381 0.331711i \(-0.892374\pi\)
0.382298 + 0.924039i \(0.375133\pi\)
\(410\) 10.4046 95.6691i 0.0253772 0.233339i
\(411\) −101.726 + 255.314i −0.247509 + 0.621201i
\(412\) 1309.77i 3.17905i
\(413\) −169.314 393.551i −0.409961 0.952909i
\(414\) −231.058 −0.558110
\(415\) 223.616 + 89.0968i 0.538834 + 0.214691i
\(416\) 95.8619 + 10.4256i 0.230437 + 0.0250616i
\(417\) −53.0727 50.2732i −0.127273 0.120559i
\(418\) −359.333 + 423.039i −0.859648 + 1.01206i
\(419\) −124.131 65.8101i −0.296256 0.157065i 0.313650 0.949539i \(-0.398448\pi\)
−0.609906 + 0.792474i \(0.708793\pi\)
\(420\) −397.781 239.337i −0.947097 0.569849i
\(421\) −260.892 563.908i −0.619695 1.33945i −0.922352 0.386350i \(-0.873736\pi\)
0.302657 0.953100i \(-0.402126\pi\)
\(422\) −362.252 79.7378i −0.858418 0.188952i
\(423\) 70.6351 37.4484i 0.166986 0.0885304i
\(424\) −451.800 24.4959i −1.06557 0.0577733i
\(425\) −4.09413 4.81999i −0.00963326 0.0113411i
\(426\) −38.2188 173.630i −0.0897155 0.407582i
\(427\) 481.817 + 633.819i 1.12838 + 1.48435i
\(428\) 293.742 278.247i 0.686313 0.650111i
\(429\) 7.68890 + 141.814i 0.0179229 + 0.330568i
\(430\) −940.165 + 565.678i −2.18643 + 1.31553i
\(431\) −267.576 181.421i −0.620825 0.420930i 0.209814 0.977741i \(-0.432714\pi\)
−0.830639 + 0.556812i \(0.812025\pi\)
\(432\) 15.5082 55.8555i 0.0358986 0.129295i
\(433\) 140.346 15.2635i 0.324124 0.0352506i 0.0553893 0.998465i \(-0.482360\pi\)
0.268735 + 0.963214i \(0.413394\pi\)
\(434\) −490.477 372.851i −1.13013 0.859103i
\(435\) 316.942 + 146.633i 0.728603 + 0.337087i
\(436\) 934.630 633.695i 2.14365 1.45343i
\(437\) 128.434 + 381.178i 0.293899 + 0.872261i
\(438\) −108.038 659.002i −0.246662 1.50457i
\(439\) 50.0985 305.587i 0.114120 0.696098i −0.866351 0.499435i \(-0.833541\pi\)
0.980471 0.196664i \(-0.0630107\pi\)
\(440\) −516.050 173.878i −1.17284 0.395176i
\(441\) 2.99290 + 10.7794i 0.00678662 + 0.0244432i
\(442\) −54.7793 137.486i −0.123935 0.311053i
\(443\) −54.0441 + 21.5331i −0.121996 + 0.0486075i −0.430337 0.902668i \(-0.641605\pi\)
0.308342 + 0.951276i \(0.400226\pi\)
\(444\) −521.255 + 144.726i −1.17400 + 0.325959i
\(445\) −53.0722 + 157.513i −0.119263 + 0.353961i
\(446\) 181.764 + 29.7987i 0.407543 + 0.0668133i
\(447\) −480.166 + 78.7193i −1.07420 + 0.176106i
\(448\) 559.798 188.618i 1.24955 0.421022i
\(449\) 145.816 + 215.063i 0.324758 + 0.478982i 0.954662 0.297691i \(-0.0962164\pi\)
−0.629905 + 0.776672i \(0.716906\pi\)
\(450\) −5.57046 + 12.0404i −0.0123788 + 0.0267564i
\(451\) −32.2566 + 42.4328i −0.0715223 + 0.0940860i
\(452\) −145.775 1340.38i −0.322511 2.96544i
\(453\) −403.664 112.077i −0.891090 0.247410i
\(454\) 550.164 811.431i 1.21181 1.78729i
\(455\) 162.852 + 270.662i 0.357917 + 0.594862i
\(456\) −374.691 + 20.3152i −0.821691 + 0.0445508i
\(457\) −303.767 320.683i −0.664698 0.701713i 0.303237 0.952915i \(-0.401933\pi\)
−0.967935 + 0.251202i \(0.919174\pi\)
\(458\) −429.448 + 326.458i −0.937659 + 0.712790i
\(459\) 24.6978 5.43639i 0.0538078 0.0118440i
\(460\) −636.662 + 540.785i −1.38405 + 1.17562i
\(461\) −18.8894 + 348.395i −0.0409749 + 0.755737i 0.903788 + 0.427981i \(0.140775\pi\)
−0.944762 + 0.327756i \(0.893708\pi\)
\(462\) 183.983 + 347.028i 0.398231 + 0.751143i
\(463\) −112.579 + 511.450i −0.243151 + 1.10464i 0.683861 + 0.729612i \(0.260299\pi\)
−0.927012 + 0.375032i \(0.877632\pi\)
\(464\) 419.324 194.000i 0.903715 0.418103i
\(465\) 108.382 180.132i 0.233079 0.387381i
\(466\) 642.317 1211.54i 1.37836 2.59987i
\(467\) 332.650 + 282.555i 0.712313 + 0.605044i 0.928511 0.371306i \(-0.121090\pi\)
−0.216198 + 0.976350i \(0.569366\pi\)
\(468\) −139.767 + 147.550i −0.298648 + 0.315278i
\(469\) −76.9151 + 707.223i −0.163998 + 1.50794i
\(470\) 163.425 410.165i 0.347712 0.872691i
\(471\) 78.3614i 0.166372i
\(472\) 135.495 706.298i 0.287065 1.49639i
\(473\) 607.726 1.28483
\(474\) 432.565 + 172.349i 0.912583 + 0.363606i
\(475\) 22.9595 + 2.49699i 0.0483357 + 0.00525682i
\(476\) −194.527 184.265i −0.408670 0.387112i
\(477\) −72.0916 + 84.8728i −0.151135 + 0.177930i
\(478\) 351.558 + 186.384i 0.735478 + 0.389926i
\(479\) −379.305 228.220i −0.791868 0.476451i 0.0612799 0.998121i \(-0.480482\pi\)
−0.853148 + 0.521670i \(0.825309\pi\)
\(480\) 38.2084 + 82.5862i 0.0796009 + 0.172054i
\(481\) 359.490 + 79.1297i 0.747380 + 0.164511i
\(482\) 889.490 471.578i 1.84542 0.978377i
\(483\) 284.224 + 15.4102i 0.588455 + 0.0319051i
\(484\) −180.582 212.598i −0.373103 0.439251i
\(485\) 81.7719 + 371.494i 0.168602 + 0.765966i
\(486\) −32.1049 42.2332i −0.0660594 0.0868996i
\(487\) 347.280 328.961i 0.713101 0.675485i −0.242499 0.970152i \(-0.577967\pi\)
0.955600 + 0.294667i \(0.0952086\pi\)
\(488\) 72.3551 + 1334.51i 0.148269 + 2.73466i
\(489\) 393.615 236.830i 0.804939 0.484315i
\(490\) 51.1370 + 34.6717i 0.104361 + 0.0707586i
\(491\) −92.1871 + 332.028i −0.187754 + 0.676228i 0.808402 + 0.588631i \(0.200333\pi\)
−0.996156 + 0.0875976i \(0.972081\pi\)
\(492\) −75.8291 + 8.24691i −0.154124 + 0.0167620i
\(493\) 160.462 + 121.980i 0.325480 + 0.247423i
\(494\) 490.514 + 226.936i 0.992944 + 0.459385i
\(495\) −110.930 + 75.2121i −0.224100 + 0.151944i
\(496\) −88.8082 263.573i −0.179049 0.531398i
\(497\) 35.4328 + 216.131i 0.0712934 + 0.434870i
\(498\) 47.1516 287.612i 0.0946820 0.577534i
\(499\) −164.780 55.5209i −0.330221 0.111264i 0.149307 0.988791i \(-0.452296\pi\)
−0.479528 + 0.877527i \(0.659192\pi\)
\(500\) 259.696 + 935.341i 0.519392 + 1.87068i
\(501\) −70.9683 178.117i −0.141653 0.355523i
\(502\) −676.819 + 269.670i −1.34825 + 0.537190i
\(503\) −201.258 + 55.8790i −0.400115 + 0.111092i −0.461756 0.887007i \(-0.652780\pi\)
0.0616407 + 0.998098i \(0.480367\pi\)
\(504\) −84.7873 + 251.640i −0.168229 + 0.499285i
\(505\) 70.6753 + 11.5866i 0.139951 + 0.0229438i
\(506\) 697.460 114.343i 1.37838 0.225974i
\(507\) −146.343 + 49.3087i −0.288645 + 0.0972558i
\(508\) −166.354 245.354i −0.327469 0.482981i
\(509\) 259.219 560.292i 0.509270 1.10077i −0.467009 0.884253i \(-0.654668\pi\)
0.976279 0.216517i \(-0.0694697\pi\)
\(510\) 84.5197 111.184i 0.165725 0.218007i
\(511\) 88.9457 + 817.842i 0.174062 + 1.60047i
\(512\) 640.119 + 177.728i 1.25023 + 0.347125i
\(513\) −51.8270 + 76.4391i −0.101027 + 0.149004i
\(514\) −152.547 253.536i −0.296785 0.493260i
\(515\) 839.783 45.5317i 1.63065 0.0884111i
\(516\) 598.078 + 631.383i 1.15907 + 1.22361i
\(517\) −194.684 + 147.995i −0.376565 + 0.286257i
\(518\) 994.223 218.845i 1.91935 0.422481i
\(519\) −363.778 + 308.996i −0.700921 + 0.595368i
\(520\) −28.7070 + 529.469i −0.0552057 + 1.01821i
\(521\) −193.918 365.769i −0.372204 0.702052i 0.624684 0.780878i \(-0.285228\pi\)
−0.996888 + 0.0788257i \(0.974883\pi\)
\(522\) 90.8959 412.944i 0.174130 0.791081i
\(523\) 495.620 229.298i 0.947649 0.438429i 0.115702 0.993284i \(-0.463088\pi\)
0.831947 + 0.554855i \(0.187226\pi\)
\(524\) −157.843 + 262.337i −0.301227 + 0.500644i
\(525\) 7.65524 14.4393i 0.0145814 0.0275034i
\(526\) −925.813 786.392i −1.76010 1.49504i
\(527\) 83.4433 88.0900i 0.158336 0.167154i
\(528\) −19.1713 + 176.277i −0.0363093 + 0.333858i
\(529\) −6.22516 + 15.6240i −0.0117678 + 0.0295349i
\(530\) 614.988i 1.16035i
\(531\) −118.204 131.745i −0.222607 0.248108i
\(532\) 978.502 1.83929
\(533\) 48.2146 + 19.2104i 0.0904588 + 0.0360421i
\(534\) 200.070 + 21.7589i 0.374663 + 0.0407470i
\(535\) −188.615 178.665i −0.352551 0.333954i
\(536\) −773.093 + 910.155i −1.44234 + 1.69805i
\(537\) −166.982 88.5283i −0.310954 0.164857i
\(538\) −775.871 466.826i −1.44214 0.867706i
\(539\) −14.3686 31.0572i −0.0266579 0.0576201i
\(540\) −187.308 41.2297i −0.346867 0.0763513i
\(541\) 92.0201 48.7860i 0.170093 0.0901774i −0.381187 0.924498i \(-0.624485\pi\)
0.551280 + 0.834321i \(0.314140\pi\)
\(542\) −612.368 33.2016i −1.12983 0.0612576i
\(543\) 61.9251 + 72.9038i 0.114042 + 0.134261i
\(544\) 11.2905 + 51.2933i 0.0207546 + 0.0942891i
\(545\) −438.796 577.226i −0.805130 1.05913i
\(546\) 277.665 263.019i 0.508545 0.481719i
\(547\) 17.4263 + 321.409i 0.0318579 + 0.587585i 0.970264 + 0.242050i \(0.0778198\pi\)
−0.938406 + 0.345535i \(0.887697\pi\)
\(548\) 1030.83 620.230i 1.88108 1.13181i
\(549\) 272.248 + 184.589i 0.495898 + 0.336227i
\(550\) 10.8564 39.1011i 0.0197389 0.0710929i
\(551\) −731.763 + 79.5840i −1.32806 + 0.144436i
\(552\) 380.382 + 289.159i 0.689098 + 0.523839i
\(553\) −520.602 240.856i −0.941415 0.435545i
\(554\) −304.513 + 206.465i −0.549662 + 0.372680i
\(555\) 110.914 + 329.181i 0.199845 + 0.593120i
\(556\) 51.7699 + 315.782i 0.0931113 + 0.567954i
\(557\) 177.092 1080.22i 0.317939 1.93934i −0.0242297 0.999706i \(-0.507713\pi\)
0.342169 0.939638i \(-0.388838\pi\)
\(558\) −241.213 81.2740i −0.432281 0.145652i
\(559\) −158.312 570.188i −0.283205 1.02001i
\(560\) 145.975 + 366.369i 0.260669 + 0.654231i
\(561\) −71.8613 + 28.6322i −0.128095 + 0.0510377i
\(562\) −1698.12 + 471.482i −3.02157 + 0.838936i
\(563\) −127.442 + 378.235i −0.226363 + 0.671821i 0.772940 + 0.634480i \(0.218786\pi\)
−0.999303 + 0.0373417i \(0.988111\pi\)
\(564\) −345.349 56.6171i −0.612321 0.100385i
\(565\) −854.342 + 140.062i −1.51211 + 0.247898i
\(566\) 944.391 318.202i 1.66854 0.562195i
\(567\) 36.6754 + 54.0922i 0.0646833 + 0.0954007i
\(568\) −154.372 + 333.670i −0.271782 + 0.587447i
\(569\) −149.208 + 196.280i −0.262228 + 0.344955i −0.908299 0.418322i \(-0.862618\pi\)
0.646070 + 0.763278i \(0.276411\pi\)
\(570\) 55.1437 + 507.038i 0.0967434 + 0.889541i
\(571\) −616.441 171.154i −1.07958 0.299744i −0.318183 0.948029i \(-0.603073\pi\)
−0.761398 + 0.648285i \(0.775486\pi\)
\(572\) 348.877 514.555i 0.609924 0.899571i
\(573\) −219.613 365.000i −0.383269 0.636999i
\(574\) 143.329 7.77106i 0.249702 0.0135384i
\(575\) −20.2236 21.3498i −0.0351715 0.0371301i
\(576\) 194.286 147.693i 0.337303 0.256411i
\(577\) −498.565 + 109.742i −0.864063 + 0.190195i −0.624824 0.780766i \(-0.714829\pi\)
−0.239240 + 0.970961i \(0.576898\pi\)
\(578\) −688.167 + 584.534i −1.19060 + 1.01131i
\(579\) 12.3301 227.415i 0.0212955 0.392772i
\(580\) −716.030 1350.58i −1.23453 2.32858i
\(581\) −77.1831 + 350.646i −0.132845 + 0.603522i
\(582\) 418.000 193.388i 0.718214 0.332281i
\(583\) 175.612 291.869i 0.301221 0.500632i
\(584\) −646.854 + 1220.10i −1.10763 + 2.08920i
\(585\) 99.4633 + 84.4849i 0.170023 + 0.144419i
\(586\) −991.321 + 1046.52i −1.69167 + 1.78588i
\(587\) 98.5406 906.066i 0.167872 1.54355i −0.542698 0.839928i \(-0.682597\pi\)
0.710570 0.703626i \(-0.248437\pi\)
\(588\) 18.1257 45.4921i 0.0308261 0.0773676i
\(589\) 443.107i 0.752305i
\(590\) −968.562 131.921i −1.64163 0.223594i
\(591\) 14.3749 0.0243231
\(592\) 426.933 + 170.106i 0.721171 + 0.287341i
\(593\) 732.448 + 79.6586i 1.23516 + 0.134331i 0.702305 0.711876i \(-0.252154\pi\)
0.532853 + 0.846208i \(0.321120\pi\)
\(594\) 117.810 + 111.596i 0.198333 + 0.187871i
\(595\) −111.383 + 131.130i −0.187198 + 0.220387i
\(596\) 1881.80 + 997.666i 3.15738 + 1.67394i
\(597\) 420.085 + 252.757i 0.703661 + 0.423379i
\(598\) −288.967 624.593i −0.483223 1.04447i
\(599\) 30.0089 + 6.60546i 0.0500984 + 0.0110275i 0.239949 0.970786i \(-0.422869\pi\)
−0.189851 + 0.981813i \(0.560800\pi\)
\(600\) 24.2385 12.8504i 0.0403974 0.0214174i
\(601\) 523.734 + 28.3960i 0.871438 + 0.0472480i 0.484432 0.874829i \(-0.339026\pi\)
0.387006 + 0.922077i \(0.373509\pi\)
\(602\) −1059.51 1247.35i −1.75998 2.07201i
\(603\) 63.1807 + 287.033i 0.104777 + 0.476008i
\(604\) 1109.78 + 1459.89i 1.83738 + 2.41703i
\(605\) −130.033 + 123.174i −0.214931 + 0.203593i
\(606\) −4.69467 86.5880i −0.00774698 0.142885i
\(607\) 987.784 594.330i 1.62732 0.979127i 0.652033 0.758190i \(-0.273916\pi\)
0.975288 0.220936i \(-0.0709113\pi\)
\(608\) −158.752 107.636i −0.261105 0.177033i
\(609\) −139.352 + 501.900i −0.228821 + 0.824138i
\(610\) 1805.88 196.402i 2.96046 0.321970i
\(611\) 189.568 + 144.106i 0.310259 + 0.235853i
\(612\) −100.467 46.4811i −0.164162 0.0759495i
\(613\) −505.537 + 342.763i −0.824694 + 0.559156i −0.898934 0.438084i \(-0.855657\pi\)
0.0742403 + 0.997240i \(0.476347\pi\)
\(614\) 40.3932 + 119.883i 0.0657870 + 0.195249i
\(615\) 7.92371 + 48.3325i 0.0128841 + 0.0785895i
\(616\) 131.407 801.547i 0.213323 1.30121i
\(617\) −435.259 146.656i −0.705444 0.237692i −0.0563622 0.998410i \(-0.517950\pi\)
−0.649082 + 0.760719i \(0.724847\pi\)
\(618\) −272.422 981.177i −0.440813 1.58766i
\(619\) −145.015 363.960i −0.234273 0.587981i 0.764094 0.645105i \(-0.223186\pi\)
−0.998367 + 0.0571238i \(0.981807\pi\)
\(620\) −854.863 + 340.609i −1.37881 + 0.549369i
\(621\) 113.310 31.4604i 0.182464 0.0506608i
\(622\) 211.034 626.327i 0.339283 1.00696i
\(623\) −244.654 40.1090i −0.392704 0.0643805i
\(624\) 170.383 27.9329i 0.273049 0.0447642i
\(625\) 559.898 188.652i 0.895837 0.301843i
\(626\) 1023.10 + 1508.96i 1.63435 + 2.41049i
\(627\) 118.615 256.383i 0.189179 0.408904i
\(628\) −207.583 + 273.071i −0.330546 + 0.434826i
\(629\) 21.6769 + 199.316i 0.0344626 + 0.316878i
\(630\) 347.766 + 96.5568i 0.552010 + 0.153265i
\(631\) −55.2454 + 81.4809i −0.0875522 + 0.129130i −0.868943 0.494912i \(-0.835200\pi\)
0.781391 + 0.624042i \(0.214511\pi\)
\(632\) −496.427 825.069i −0.785487 1.30549i
\(633\) 188.504 10.2204i 0.297795 0.0161460i
\(634\) 279.424 + 294.984i 0.440732 + 0.465275i
\(635\) −151.530 + 115.190i −0.238631 + 0.181402i
\(636\) 476.054 104.787i 0.748513 0.164760i
\(637\) −25.3959 + 21.5714i −0.0398679 + 0.0338641i
\(638\) −70.0218 + 1291.48i −0.109752 + 2.02426i
\(639\) 42.3835 + 79.9437i 0.0663278 + 0.125107i
\(640\) 244.561 1111.05i 0.382126 1.73602i
\(641\) −969.150 + 448.377i −1.51193 + 0.699495i −0.988311 0.152454i \(-0.951282\pi\)
−0.523624 + 0.851950i \(0.675420\pi\)
\(642\) −162.175 + 269.537i −0.252609 + 0.419840i
\(643\) 328.137 618.933i 0.510323 0.962570i −0.485756 0.874095i \(-0.661456\pi\)
0.996078 0.0884759i \(-0.0281996\pi\)
\(644\) −949.630 806.623i −1.47458 1.25252i
\(645\) 384.032 405.418i 0.595399 0.628555i
\(646\) −31.8278 + 292.652i −0.0492690 + 0.453021i
\(647\) 202.896 509.230i 0.313595 0.787064i −0.684707 0.728818i \(-0.740070\pi\)
0.998302 0.0582457i \(-0.0185507\pi\)
\(648\) 109.705i 0.169298i
\(649\) 422.002 + 339.184i 0.650234 + 0.522626i
\(650\) −39.5140 −0.0607907
\(651\) 291.295 + 116.062i 0.447458 + 0.178283i
\(652\) −1999.03 217.408i −3.06600 0.333447i
\(653\) 108.936 + 103.190i 0.166824 + 0.158025i 0.766558 0.642176i \(-0.221968\pi\)
−0.599733 + 0.800200i \(0.704727\pi\)
\(654\) −568.348 + 669.110i −0.869033 + 1.02310i
\(655\) 173.690 + 92.0843i 0.265175 + 0.140587i
\(656\) 55.5234 + 33.4073i 0.0846394 + 0.0509258i
\(657\) 142.710 + 308.462i 0.217214 + 0.469501i
\(658\) 643.169 + 141.572i 0.977461 + 0.215155i
\(659\) 540.136 286.362i 0.819630 0.434541i −0.00515481 0.999987i \(-0.501641\pi\)
0.824785 + 0.565446i \(0.191296\pi\)
\(660\) 585.804 + 31.7614i 0.887581 + 0.0481233i
\(661\) −75.8910 89.3458i −0.114812 0.135168i 0.701753 0.712420i \(-0.252401\pi\)
−0.816566 + 0.577252i \(0.804125\pi\)
\(662\) −387.146 1758.82i −0.584812 2.65683i
\(663\) 45.5834 + 59.9639i 0.0687532 + 0.0904433i
\(664\) −437.558 + 414.477i −0.658973 + 0.624213i
\(665\) −34.0158 627.385i −0.0511516 0.943436i
\(666\) 360.382 216.834i 0.541114 0.325577i
\(667\) 775.776 + 525.989i 1.16308 + 0.788589i
\(668\) −224.533 + 808.693i −0.336127 + 1.21062i
\(669\) −93.1940 + 10.1355i −0.139303 + 0.0151502i
\(670\) 1292.16 + 982.272i 1.92859 + 1.46608i
\(671\) −913.142 422.465i −1.36087 0.629604i
\(672\) −112.341 + 76.1689i −0.167174 + 0.113347i
\(673\) −410.524 1218.39i −0.609991 1.81039i −0.585478 0.810688i \(-0.699093\pi\)
−0.0245128 0.999700i \(-0.507803\pi\)
\(674\) 73.2087 + 446.553i 0.108618 + 0.662542i
\(675\) 1.09235 6.66302i 0.00161829 0.00987114i
\(676\) 640.591 + 215.840i 0.947620 + 0.319290i
\(677\) 16.1738 + 58.2528i 0.0238904 + 0.0860455i 0.974534 0.224239i \(-0.0719895\pi\)
−0.950644 + 0.310284i \(0.899576\pi\)
\(678\) 387.992 + 973.787i 0.572260 + 1.43626i
\(679\) −527.079 + 210.008i −0.776258 + 0.309290i
\(680\) −278.284 + 77.2651i −0.409241 + 0.113625i
\(681\) −159.316 + 472.832i −0.233944 + 0.694321i
\(682\) 768.334 + 125.962i 1.12659 + 0.184695i
\(683\) 696.712 114.220i 1.02008 0.167233i 0.371540 0.928417i \(-0.378830\pi\)
0.648536 + 0.761184i \(0.275382\pi\)
\(684\) 383.096 129.080i 0.560081 0.188713i
\(685\) −433.507 639.374i −0.632856 0.933393i
\(686\) 469.749 1015.35i 0.684766 1.48010i
\(687\) 166.150 218.567i 0.241849 0.318147i
\(688\) −79.8804 734.488i −0.116105 1.06757i
\(689\) −319.587 88.7329i −0.463842 0.128785i
\(690\) 364.458 537.535i 0.528199 0.779036i
\(691\) 325.261 + 540.589i 0.470711 + 0.782328i 0.997717 0.0675337i \(-0.0215130\pi\)
−0.527006 + 0.849862i \(0.676685\pi\)
\(692\) 2086.23 113.112i 3.01478 0.163456i
\(693\) −137.475 145.131i −0.198377 0.209424i
\(694\) −962.460 + 731.643i −1.38683 + 1.05424i
\(695\) 200.670 44.1708i 0.288734 0.0635551i
\(696\) −666.421 + 566.063i −0.957501 + 0.813309i
\(697\) −1.53045 + 28.2274i −0.00219576 + 0.0404985i
\(698\) −24.5310 46.2704i −0.0351448 0.0662900i
\(699\) −150.030 + 681.591i −0.214635 + 0.975095i
\(700\) −64.9271 + 30.0385i −0.0927530 + 0.0429121i
\(701\) −657.256 + 1092.37i −0.937598 + 1.55830i −0.112248 + 0.993680i \(0.535805\pi\)
−0.825351 + 0.564620i \(0.809023\pi\)
\(702\) 74.0131 139.604i 0.105432 0.198866i
\(703\) −558.033 473.997i −0.793788 0.674249i
\(704\) −513.376 + 541.964i −0.729227 + 0.769835i
\(705\) −24.2957 + 223.395i −0.0344620 + 0.316873i
\(706\) −213.589 + 536.068i −0.302534 + 0.759303i
\(707\) 106.825i 0.151096i
\(708\) 62.9146 + 772.229i 0.0888624 + 1.09072i
\(709\) 44.6853 0.0630259 0.0315129 0.999503i \(-0.489967\pi\)
0.0315129 + 0.999503i \(0.489967\pi\)
\(710\) 464.218 + 184.961i 0.653828 + 0.260509i
\(711\) −235.595 25.6225i −0.331357 0.0360373i
\(712\) −302.137 286.200i −0.424350 0.401966i
\(713\) 365.273 430.033i 0.512305 0.603132i
\(714\) 184.050 + 97.5771i 0.257773 + 0.136663i
\(715\) −342.044 205.801i −0.478384 0.287834i
\(716\) 347.377 + 750.843i 0.485164 + 1.04866i
\(717\) −197.781 43.5349i −0.275845 0.0607181i
\(718\) −1352.21 + 716.894i −1.88329 + 0.998460i
\(719\) −1355.82 73.5107i −1.88571 0.102240i −0.925028 0.379898i \(-0.875959\pi\)
−0.960680 + 0.277658i \(0.910442\pi\)
\(720\) 105.481 + 124.182i 0.146501 + 0.172475i
\(721\) 269.668 + 1225.11i 0.374019 + 1.69919i
\(722\) 92.9091 + 122.220i 0.128683 + 0.169279i
\(723\) −371.994 + 352.371i −0.514515 + 0.487374i
\(724\) −22.6684 418.095i −0.0313100 0.577479i
\(725\) 46.1120 27.7447i 0.0636027 0.0382685i
\(726\) 179.497 + 121.702i 0.247240 + 0.167633i
\(727\) 330.694 1191.05i 0.454875 1.63831i −0.279922 0.960023i \(-0.590309\pi\)
0.734797 0.678288i \(-0.237278\pi\)
\(728\) −786.267 + 85.5117i −1.08004 + 0.117461i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) 1703.52 + 788.132i 2.33359 + 1.07963i
\(731\) 266.776 180.878i 0.364946 0.247440i
\(732\) −459.735 1364.45i −0.628054 1.86400i
\(733\) 13.8482 + 84.4704i 0.0188925 + 0.115239i 0.994589 0.103886i \(-0.0331278\pi\)
−0.975697 + 0.219126i \(0.929680\pi\)
\(734\) 351.847 2146.17i 0.479355 2.92394i
\(735\) −29.7982 10.0402i −0.0405418 0.0136601i
\(736\) 65.3380 + 235.326i 0.0887745 + 0.319737i
\(737\) −332.757 835.158i −0.451503 1.13319i
\(738\) 55.0899 21.9498i 0.0746475 0.0297423i
\(739\) 808.039 224.351i 1.09342 0.303587i 0.326416 0.945226i \(-0.394159\pi\)
0.767007 + 0.641639i \(0.221745\pi\)
\(740\) 485.508 1440.94i 0.656092 1.94721i
\(741\) −271.446 44.5013i −0.366324 0.0600557i
\(742\) −905.217 + 148.403i −1.21997 + 0.200004i
\(743\) −815.766 + 274.864i −1.09794 + 0.369938i −0.809237 0.587483i \(-0.800119\pi\)
−0.288699 + 0.957420i \(0.593223\pi\)
\(744\) 295.389 + 435.666i 0.397028 + 0.585573i
\(745\) 574.255 1241.23i 0.770812 1.66608i
\(746\) −152.989 + 201.253i −0.205079 + 0.269777i
\(747\) 16.0377 + 147.464i 0.0214695 + 0.197408i
\(748\) 326.268 + 90.5877i 0.436187 + 0.121107i
\(749\) 217.468 320.741i 0.290344 0.428226i
\(750\) −389.088 646.669i −0.518784 0.862225i
\(751\) 425.404 23.0647i 0.566450 0.0307120i 0.231310 0.972880i \(-0.425699\pi\)
0.335141 + 0.942168i \(0.391216\pi\)
\(752\) 204.454 + 215.839i 0.271880 + 0.287020i
\(753\) 295.192 224.399i 0.392022 0.298007i
\(754\) 1229.94 270.731i 1.63122 0.359060i
\(755\) 897.453 762.304i 1.18868 1.00967i
\(756\) 15.4877 285.653i 0.0204864 0.377848i
\(757\) −474.143 894.328i −0.626344 1.18141i −0.970181 0.242381i \(-0.922071\pi\)
0.343837 0.939029i \(-0.388273\pi\)
\(758\) −94.5696 + 429.634i −0.124762 + 0.566800i
\(759\) −326.464 + 151.038i −0.430123 + 0.198996i
\(760\) 543.756 903.729i 0.715468 1.18912i
\(761\) −445.508 + 840.318i −0.585425 + 1.10423i 0.397043 + 0.917800i \(0.370036\pi\)
−0.982468 + 0.186429i \(0.940309\pi\)
\(762\) 175.651 + 149.200i 0.230514 + 0.195800i
\(763\) 743.749 785.166i 0.974769 1.02905i
\(764\) −201.603 + 1853.71i −0.263878 + 2.42632i
\(765\) −26.3096 + 66.0322i −0.0343917 + 0.0863166i
\(766\) 1796.82i 2.34572i
\(767\) 208.302 484.292i 0.271581 0.631411i
\(768\) −813.843 −1.05969
\(769\) −805.104 320.783i −1.04695 0.417143i −0.217696 0.976017i \(-0.569854\pi\)
−0.829253 + 0.558874i \(0.811234\pi\)
\(770\) −1097.53 119.364i −1.42537 0.155018i
\(771\) 109.330 + 103.563i 0.141802 + 0.134322i
\(772\) −645.400 + 759.823i −0.836010 + 0.984227i
\(773\) 1196.93 + 634.572i 1.54842 + 0.820921i 0.999884 0.0152063i \(-0.00484050\pi\)
0.548536 + 0.836127i \(0.315185\pi\)