Properties

Label 27.4.e.a.16.7
Level 27
Weight 4
Character 27.16
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 16.7
Character \(\chi\) = 27.16
Dual form 27.4.e.a.22.7

$q$-expansion

\(f(q)\) \(=\) \(q+(2.44194 + 2.04903i) q^{2} +(-2.73751 + 4.41656i) q^{3} +(0.375355 + 2.12875i) q^{4} +(6.73772 + 2.45233i) q^{5} +(-15.7345 + 5.17572i) q^{6} +(0.843459 - 4.78350i) q^{7} +(9.30563 - 16.1178i) q^{8} +(-12.0120 - 24.1808i) q^{9} +O(q^{10})\) \(q+(2.44194 + 2.04903i) q^{2} +(-2.73751 + 4.41656i) q^{3} +(0.375355 + 2.12875i) q^{4} +(6.73772 + 2.45233i) q^{5} +(-15.7345 + 5.17572i) q^{6} +(0.843459 - 4.78350i) q^{7} +(9.30563 - 16.1178i) q^{8} +(-12.0120 - 24.1808i) q^{9} +(11.4282 + 19.7942i) q^{10} +(20.1875 - 7.34765i) q^{11} +(-10.4293 - 4.16969i) q^{12} +(-26.7394 + 22.4370i) q^{13} +(11.8612 - 9.95273i) q^{14} +(-29.2755 + 23.0443i) q^{15} +(71.9995 - 26.2057i) q^{16} +(-57.1928 - 99.0609i) q^{17} +(20.2145 - 83.6610i) q^{18} +(-75.8961 + 131.456i) q^{19} +(-2.69135 + 15.2634i) q^{20} +(18.8176 + 16.8201i) q^{21} +(64.3522 + 23.4223i) q^{22} +(16.1288 + 91.4708i) q^{23} +(45.7111 + 85.2216i) q^{24} +(-56.3726 - 47.3022i) q^{25} -111.270 q^{26} +(139.679 + 13.1434i) q^{27} +10.4994 q^{28} +(144.206 + 121.003i) q^{29} +(-118.707 - 3.71361i) q^{30} +(-1.10912 - 6.29012i) q^{31} +(89.6036 + 32.6130i) q^{32} +(-22.8122 + 109.274i) q^{33} +(63.3173 - 359.090i) q^{34} +(17.4137 - 30.1614i) q^{35} +(46.9660 - 34.6470i) q^{36} +(-196.391 - 340.159i) q^{37} +(-454.691 + 165.494i) q^{38} +(-25.8950 - 179.518i) q^{39} +(102.225 - 85.7769i) q^{40} +(159.914 - 134.184i) q^{41} +(11.4866 + 79.6314i) q^{42} +(-142.747 + 51.9557i) q^{43} +(23.2188 + 40.2161i) q^{44} +(-21.6345 - 192.381i) q^{45} +(-148.041 + 256.414i) q^{46} +(-29.2530 + 165.902i) q^{47} +(-81.3606 + 389.728i) q^{48} +(300.144 + 109.244i) q^{49} +(-40.7347 - 231.018i) q^{50} +(594.075 + 18.5849i) q^{51} +(-57.7995 - 48.4995i) q^{52} -2.81647 q^{53} +(314.157 + 318.302i) q^{54} +154.037 q^{55} +(-69.2506 - 58.1082i) q^{56} +(-372.817 - 695.062i) q^{57} +(104.203 + 590.964i) q^{58} +(231.135 + 84.1261i) q^{59} +(-60.0441 - 53.6703i) q^{60} +(-123.808 + 702.150i) q^{61} +(10.1803 - 17.6327i) q^{62} +(-125.800 + 37.0640i) q^{63} +(-154.500 - 267.601i) q^{64} +(-235.186 + 85.6006i) q^{65} +(-279.611 + 220.096i) q^{66} +(181.688 - 152.454i) q^{67} +(189.408 - 158.932i) q^{68} +(-448.139 - 179.169i) q^{69} +(104.325 - 37.9711i) q^{70} +(-61.2324 - 106.058i) q^{71} +(-501.521 - 31.4097i) q^{72} +(-137.653 + 238.422i) q^{73} +(217.421 - 1233.06i) q^{74} +(363.234 - 119.482i) q^{75} +(-308.324 - 112.221i) q^{76} +(-18.1201 - 102.764i) q^{77} +(304.603 - 491.431i) q^{78} +(197.859 + 166.024i) q^{79} +549.377 q^{80} +(-440.422 + 580.921i) q^{81} +665.446 q^{82} +(1019.13 + 855.148i) q^{83} +(-28.7424 + 46.3714i) q^{84} +(-142.419 - 807.701i) q^{85} +(-455.038 - 165.620i) q^{86} +(-929.183 + 305.647i) q^{87} +(69.4292 - 393.753i) q^{88} +(-41.5833 + 72.0243i) q^{89} +(341.364 - 514.112i) q^{90} +(84.7738 + 146.832i) q^{91} +(-188.664 + 68.6681i) q^{92} +(30.8169 + 12.3208i) q^{93} +(-411.372 + 345.182i) q^{94} +(-833.741 + 699.591i) q^{95} +(-389.328 + 306.461i) q^{96} +(34.8364 - 12.6794i) q^{97} +(509.090 + 881.770i) q^{98} +(-420.165 - 399.889i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.44194 + 2.04903i 0.863356 + 0.724441i 0.962688 0.270613i \(-0.0872263\pi\)
−0.0993326 + 0.995054i \(0.531671\pi\)
\(3\) −2.73751 + 4.41656i −0.526835 + 0.849968i
\(4\) 0.375355 + 2.12875i 0.0469194 + 0.266093i
\(5\) 6.73772 + 2.45233i 0.602640 + 0.219343i 0.625280 0.780401i \(-0.284985\pi\)
−0.0226396 + 0.999744i \(0.507207\pi\)
\(6\) −15.7345 + 5.17572i −1.07060 + 0.352163i
\(7\) 0.843459 4.78350i 0.0455425 0.258284i −0.953532 0.301291i \(-0.902582\pi\)
0.999075 + 0.0430064i \(0.0136936\pi\)
\(8\) 9.30563 16.1178i 0.411255 0.712314i
\(9\) −12.0120 24.1808i −0.444890 0.895585i
\(10\) 11.4282 + 19.7942i 0.361392 + 0.625949i
\(11\) 20.1875 7.34765i 0.553342 0.201400i −0.0501890 0.998740i \(-0.515982\pi\)
0.603531 + 0.797340i \(0.293760\pi\)
\(12\) −10.4293 4.16969i −0.250889 0.100307i
\(13\) −26.7394 + 22.4370i −0.570475 + 0.478685i −0.881803 0.471617i \(-0.843670\pi\)
0.311329 + 0.950302i \(0.399226\pi\)
\(14\) 11.8612 9.95273i 0.226431 0.189998i
\(15\) −29.2755 + 23.0443i −0.503926 + 0.396667i
\(16\) 71.9995 26.2057i 1.12499 0.409463i
\(17\) −57.1928 99.0609i −0.815959 1.41328i −0.908637 0.417586i \(-0.862876\pi\)
0.0926783 0.995696i \(-0.470457\pi\)
\(18\) 20.2145 83.6610i 0.264700 1.09551i
\(19\) −75.8961 + 131.456i −0.916409 + 1.58727i −0.111583 + 0.993755i \(0.535592\pi\)
−0.804826 + 0.593511i \(0.797741\pi\)
\(20\) −2.69135 + 15.2634i −0.0300902 + 0.170650i
\(21\) 18.8176 + 16.8201i 0.195540 + 0.174783i
\(22\) 64.3522 + 23.4223i 0.623633 + 0.226984i
\(23\) 16.1288 + 91.4708i 0.146221 + 0.829260i 0.966379 + 0.257123i \(0.0827744\pi\)
−0.820158 + 0.572137i \(0.806114\pi\)
\(24\) 45.7111 + 85.2216i 0.388780 + 0.724825i
\(25\) −56.3726 47.3022i −0.450980 0.378418i
\(26\) −111.270 −0.839302
\(27\) 139.679 + 13.1434i 0.995602 + 0.0936831i
\(28\) 10.4994 0.0708646
\(29\) 144.206 + 121.003i 0.923392 + 0.774818i 0.974619 0.223869i \(-0.0718689\pi\)
−0.0512273 + 0.998687i \(0.516313\pi\)
\(30\) −118.707 3.71361i −0.722430 0.0226003i
\(31\) −1.10912 6.29012i −0.00642592 0.0364432i 0.981426 0.191840i \(-0.0614455\pi\)
−0.987852 + 0.155397i \(0.950334\pi\)
\(32\) 89.6036 + 32.6130i 0.494994 + 0.180163i
\(33\) −22.8122 + 109.274i −0.120336 + 0.576427i
\(34\) 63.3173 359.090i 0.319377 1.81128i
\(35\) 17.4137 30.1614i 0.0840987 0.145663i
\(36\) 46.9660 34.6470i 0.217435 0.160403i
\(37\) −196.391 340.159i −0.872607 1.51140i −0.859291 0.511488i \(-0.829095\pi\)
−0.0133160 0.999911i \(-0.504239\pi\)
\(38\) −454.691 + 165.494i −1.94107 + 0.706491i
\(39\) −25.8950 179.518i −0.106321 0.737073i
\(40\) 102.225 85.7769i 0.404080 0.339063i
\(41\) 159.914 134.184i 0.609131 0.511121i −0.285235 0.958458i \(-0.592072\pi\)
0.894366 + 0.447336i \(0.147627\pi\)
\(42\) 11.4866 + 79.6314i 0.0422006 + 0.292557i
\(43\) −142.747 + 51.9557i −0.506250 + 0.184260i −0.582503 0.812829i \(-0.697926\pi\)
0.0762532 + 0.997088i \(0.475704\pi\)
\(44\) 23.2188 + 40.2161i 0.0795536 + 0.137791i
\(45\) −21.6345 192.381i −0.0716683 0.637299i
\(46\) −148.041 + 256.414i −0.474510 + 0.821875i
\(47\) −29.2530 + 165.902i −0.0907870 + 0.514879i 0.905170 + 0.425049i \(0.139743\pi\)
−0.995957 + 0.0898293i \(0.971368\pi\)
\(48\) −81.3606 + 389.728i −0.244654 + 1.17193i
\(49\) 300.144 + 109.244i 0.875056 + 0.318494i
\(50\) −40.7347 231.018i −0.115215 0.653418i
\(51\) 594.075 + 18.5849i 1.63112 + 0.0510276i
\(52\) −57.7995 48.4995i −0.154141 0.129340i
\(53\) −2.81647 −0.00729946 −0.00364973 0.999993i \(-0.501162\pi\)
−0.00364973 + 0.999993i \(0.501162\pi\)
\(54\) 314.157 + 318.302i 0.791691 + 0.802137i
\(55\) 154.037 0.377642
\(56\) −69.2506 58.1082i −0.165250 0.138661i
\(57\) −372.817 695.062i −0.866329 1.61514i
\(58\) 104.203 + 590.964i 0.235905 + 1.33789i
\(59\) 231.135 + 84.1261i 0.510019 + 0.185632i 0.584195 0.811613i \(-0.301410\pi\)
−0.0741756 + 0.997245i \(0.523633\pi\)
\(60\) −60.0441 53.6703i −0.129194 0.115480i
\(61\) −123.808 + 702.150i −0.259869 + 1.47379i 0.523391 + 0.852093i \(0.324667\pi\)
−0.783259 + 0.621695i \(0.786444\pi\)
\(62\) 10.1803 17.6327i 0.0208531 0.0361187i
\(63\) −125.800 + 37.0640i −0.251577 + 0.0741210i
\(64\) −154.500 267.601i −0.301757 0.522659i
\(65\) −235.186 + 85.6006i −0.448788 + 0.163345i
\(66\) −279.611 + 220.096i −0.521480 + 0.410485i
\(67\) 181.688 152.454i 0.331295 0.277989i −0.461932 0.886915i \(-0.652844\pi\)
0.793227 + 0.608926i \(0.208399\pi\)
\(68\) 189.408 158.932i 0.337781 0.283432i
\(69\) −448.139 179.169i −0.781878 0.312600i
\(70\) 104.325 37.9711i 0.178132 0.0648346i
\(71\) −61.2324 106.058i −0.102351 0.177278i 0.810302 0.586013i \(-0.199303\pi\)
−0.912653 + 0.408735i \(0.865970\pi\)
\(72\) −501.521 31.4097i −0.820901 0.0514120i
\(73\) −137.653 + 238.422i −0.220700 + 0.382263i −0.955021 0.296539i \(-0.904167\pi\)
0.734321 + 0.678802i \(0.237501\pi\)
\(74\) 217.421 1233.06i 0.341550 1.93703i
\(75\) 363.234 119.482i 0.559235 0.183955i
\(76\) −308.324 112.221i −0.465358 0.169377i
\(77\) −18.1201 102.764i −0.0268179 0.152092i
\(78\) 304.603 491.431i 0.442174 0.713380i
\(79\) 197.859 + 166.024i 0.281784 + 0.236445i 0.772714 0.634754i \(-0.218899\pi\)
−0.490930 + 0.871199i \(0.663343\pi\)
\(80\) 549.377 0.767778
\(81\) −440.422 + 580.921i −0.604145 + 0.796874i
\(82\) 665.446 0.896174
\(83\) 1019.13 + 855.148i 1.34775 + 1.13090i 0.979560 + 0.201150i \(0.0644679\pi\)
0.368193 + 0.929749i \(0.379976\pi\)
\(84\) −28.7424 + 46.3714i −0.0373339 + 0.0602326i
\(85\) −142.419 807.701i −0.181736 1.03068i
\(86\) −455.038 165.620i −0.570559 0.207666i
\(87\) −929.183 + 305.647i −1.14505 + 0.376652i
\(88\) 69.4292 393.753i 0.0841043 0.476979i
\(89\) −41.5833 + 72.0243i −0.0495261 + 0.0857816i −0.889726 0.456496i \(-0.849104\pi\)
0.840200 + 0.542277i \(0.182438\pi\)
\(90\) 341.364 514.112i 0.399811 0.602135i
\(91\) 84.7738 + 146.832i 0.0976561 + 0.169145i
\(92\) −188.664 + 68.6681i −0.213800 + 0.0778168i
\(93\) 30.8169 + 12.3208i 0.0343610 + 0.0137377i
\(94\) −411.372 + 345.182i −0.451381 + 0.378753i
\(95\) −833.741 + 699.591i −0.900421 + 0.755543i
\(96\) −389.328 + 306.461i −0.413913 + 0.325813i
\(97\) 34.8364 12.6794i 0.0364650 0.0132722i −0.323723 0.946152i \(-0.604935\pi\)
0.360188 + 0.932880i \(0.382712\pi\)
\(98\) 509.090 + 881.770i 0.524754 + 0.908900i
\(99\) −420.165 399.889i −0.426547 0.405964i
\(100\) 79.5346 137.758i 0.0795346 0.137758i
\(101\) 193.821 1099.21i 0.190950 1.08293i −0.727120 0.686510i \(-0.759142\pi\)
0.918070 0.396419i \(-0.129747\pi\)
\(102\) 1412.61 + 1262.66i 1.37127 + 1.22571i
\(103\) −1160.96 422.555i −1.11061 0.404228i −0.279392 0.960177i \(-0.590133\pi\)
−0.831217 + 0.555949i \(0.812355\pi\)
\(104\) 112.809 + 639.771i 0.106364 + 0.603219i
\(105\) 85.5395 + 159.476i 0.0795029 + 0.148222i
\(106\) −6.87764 5.77102i −0.00630203 0.00528803i
\(107\) −738.624 −0.667341 −0.333670 0.942690i \(-0.608287\pi\)
−0.333670 + 0.942690i \(0.608287\pi\)
\(108\) 24.4504 + 302.275i 0.0217846 + 0.269319i
\(109\) 879.581 0.772923 0.386461 0.922306i \(-0.373697\pi\)
0.386461 + 0.922306i \(0.373697\pi\)
\(110\) 376.148 + 315.626i 0.326039 + 0.273579i
\(111\) 2039.95 + 63.8175i 1.74436 + 0.0545701i
\(112\) −64.6260 366.513i −0.0545231 0.309216i
\(113\) −837.528 304.835i −0.697239 0.253774i −0.0310074 0.999519i \(-0.509872\pi\)
−0.666232 + 0.745745i \(0.732094\pi\)
\(114\) 513.808 2461.21i 0.422128 2.02205i
\(115\) −115.645 + 655.858i −0.0937739 + 0.531818i
\(116\) −203.456 + 352.397i −0.162849 + 0.282062i
\(117\) 863.740 + 377.066i 0.682502 + 0.297946i
\(118\) 392.039 + 679.032i 0.305849 + 0.529746i
\(119\) −522.097 + 190.028i −0.402190 + 0.146385i
\(120\) 98.9969 + 686.298i 0.0753095 + 0.522085i
\(121\) −666.058 + 558.889i −0.500419 + 0.419902i
\(122\) −1741.06 + 1460.92i −1.29203 + 1.08414i
\(123\) 154.864 + 1073.60i 0.113525 + 0.787018i
\(124\) 12.9738 4.72206i 0.00939579 0.00341979i
\(125\) −711.956 1233.14i −0.509434 0.882365i
\(126\) −383.142 167.261i −0.270897 0.118260i
\(127\) 1102.29 1909.23i 0.770179 1.33399i −0.167285 0.985909i \(-0.553500\pi\)
0.937464 0.348081i \(-0.113167\pi\)
\(128\) 303.509 1721.28i 0.209583 1.18860i
\(129\) 161.307 772.681i 0.110095 0.527370i
\(130\) −749.707 272.871i −0.505797 0.184095i
\(131\) −63.8555 362.143i −0.0425884 0.241531i 0.956081 0.293103i \(-0.0946879\pi\)
−0.998669 + 0.0515721i \(0.983577\pi\)
\(132\) −241.178 7.54497i −0.159029 0.00497504i
\(133\) 564.804 + 473.926i 0.368231 + 0.308982i
\(134\) 756.055 0.487412
\(135\) 908.887 + 431.096i 0.579441 + 0.274836i
\(136\) −2128.86 −1.34227
\(137\) 764.565 + 641.546i 0.476797 + 0.400080i 0.849267 0.527964i \(-0.177045\pi\)
−0.372470 + 0.928044i \(0.621489\pi\)
\(138\) −727.206 1355.77i −0.448579 0.836310i
\(139\) −439.429 2492.12i −0.268143 1.52071i −0.759934 0.650001i \(-0.774769\pi\)
0.491791 0.870713i \(-0.336342\pi\)
\(140\) 70.7423 + 25.7481i 0.0427059 + 0.0155437i
\(141\) −652.636 583.357i −0.389800 0.348422i
\(142\) 67.7895 384.453i 0.0400617 0.227201i
\(143\) −374.942 + 649.419i −0.219260 + 0.379770i
\(144\) −1498.53 1426.22i −0.867207 0.825359i
\(145\) 674.880 + 1168.93i 0.386522 + 0.669476i
\(146\) −824.674 + 300.157i −0.467469 + 0.170145i
\(147\) −1304.13 + 1026.55i −0.731720 + 0.575975i
\(148\) 650.395 545.747i 0.361231 0.303109i
\(149\) 2584.06 2168.28i 1.42077 1.19216i 0.469837 0.882753i \(-0.344313\pi\)
0.950929 0.309410i \(-0.100132\pi\)
\(150\) 1131.82 + 452.508i 0.616083 + 0.246314i
\(151\) −1008.56 + 367.085i −0.543545 + 0.197834i −0.599176 0.800617i \(-0.704505\pi\)
0.0556312 + 0.998451i \(0.482283\pi\)
\(152\) 1412.52 + 2446.56i 0.753754 + 1.30554i
\(153\) −1708.37 + 2572.89i −0.902703 + 1.35952i
\(154\) 166.319 288.072i 0.0870282 0.150737i
\(155\) 7.95253 45.1010i 0.00412105 0.0233716i
\(156\) 372.428 122.507i 0.191142 0.0628744i
\(157\) 2569.60 + 935.260i 1.30622 + 0.475426i 0.899018 0.437912i \(-0.144282\pi\)
0.407204 + 0.913337i \(0.366504\pi\)
\(158\) 142.973 + 810.839i 0.0719893 + 0.408272i
\(159\) 7.71011 12.4391i 0.00384561 0.00620430i
\(160\) 523.746 + 439.475i 0.258786 + 0.217147i
\(161\) 451.154 0.220844
\(162\) −2265.81 + 516.136i −1.09888 + 0.250318i
\(163\) −503.590 −0.241989 −0.120995 0.992653i \(-0.538608\pi\)
−0.120995 + 0.992653i \(0.538608\pi\)
\(164\) 345.668 + 290.050i 0.164586 + 0.138104i
\(165\) −421.677 + 680.312i −0.198955 + 0.320983i
\(166\) 736.418 + 4176.44i 0.344320 + 1.95274i
\(167\) 497.259 + 180.987i 0.230413 + 0.0838636i 0.454647 0.890672i \(-0.349766\pi\)
−0.224233 + 0.974536i \(0.571988\pi\)
\(168\) 446.213 146.778i 0.204917 0.0674056i
\(169\) −169.930 + 963.718i −0.0773462 + 0.438652i
\(170\) 1307.22 2264.18i 0.589762 1.02150i
\(171\) 4090.38 + 256.175i 1.82923 + 0.114563i
\(172\) −164.181 284.371i −0.0727832 0.126064i
\(173\) −865.997 + 315.197i −0.380581 + 0.138520i −0.525225 0.850964i \(-0.676019\pi\)
0.144644 + 0.989484i \(0.453796\pi\)
\(174\) −2895.29 1157.55i −1.26144 0.504333i
\(175\) −273.818 + 229.760i −0.118278 + 0.0992472i
\(176\) 1260.94 1058.05i 0.540039 0.453146i
\(177\) −1004.28 + 790.524i −0.426477 + 0.335703i
\(178\) −249.124 + 90.6737i −0.104902 + 0.0381813i
\(179\) −257.731 446.403i −0.107618 0.186401i 0.807187 0.590296i \(-0.200989\pi\)
−0.914805 + 0.403896i \(0.867656\pi\)
\(180\) 401.410 118.266i 0.166218 0.0489722i
\(181\) 840.670 1456.08i 0.345230 0.597955i −0.640166 0.768237i \(-0.721134\pi\)
0.985395 + 0.170282i \(0.0544677\pi\)
\(182\) −93.8518 + 532.260i −0.0382239 + 0.216779i
\(183\) −2762.16 2468.95i −1.11576 0.997323i
\(184\) 1624.40 + 591.233i 0.650827 + 0.236882i
\(185\) −489.045 2773.51i −0.194353 1.10223i
\(186\) 50.0074 + 93.2315i 0.0197135 + 0.0367530i
\(187\) −1882.44 1579.56i −0.736139 0.617694i
\(188\) −364.143 −0.141265
\(189\) 180.685 657.068i 0.0695391 0.252882i
\(190\) −3469.43 −1.32473
\(191\) −1942.91 1630.30i −0.736044 0.617614i 0.195728 0.980658i \(-0.437293\pi\)
−0.931772 + 0.363044i \(0.881737\pi\)
\(192\) 1604.82 + 50.2049i 0.603219 + 0.0188710i
\(193\) 326.965 + 1854.31i 0.121945 + 0.691587i 0.983075 + 0.183202i \(0.0586462\pi\)
−0.861130 + 0.508385i \(0.830243\pi\)
\(194\) 111.049 + 40.4185i 0.0410972 + 0.0149581i
\(195\) 265.764 1273.04i 0.0975987 0.467511i
\(196\) −119.891 + 679.936i −0.0436921 + 0.247790i
\(197\) −780.979 + 1352.70i −0.282449 + 0.489216i −0.971987 0.235033i \(-0.924480\pi\)
0.689538 + 0.724249i \(0.257813\pi\)
\(198\) −206.631 1837.44i −0.0741648 0.659499i
\(199\) 1008.11 + 1746.09i 0.359110 + 0.621996i 0.987812 0.155650i \(-0.0497471\pi\)
−0.628703 + 0.777646i \(0.716414\pi\)
\(200\) −1286.99 + 468.426i −0.455020 + 0.165614i
\(201\) 175.951 + 1219.78i 0.0617443 + 0.428044i
\(202\) 2725.62 2287.07i 0.949376 0.796621i
\(203\) 700.450 587.747i 0.242177 0.203211i
\(204\) 183.427 + 1271.61i 0.0629531 + 0.436424i
\(205\) 1406.52 511.931i 0.479198 0.174414i
\(206\) −1969.16 3410.69i −0.666010 1.15356i
\(207\) 2018.10 1488.76i 0.677621 0.499883i
\(208\) −1337.25 + 2316.18i −0.445775 + 0.772106i
\(209\) −566.261 + 3211.42i −0.187412 + 1.06287i
\(210\) −117.889 + 564.704i −0.0387386 + 0.185563i
\(211\) −720.357 262.189i −0.235031 0.0855441i 0.221820 0.975088i \(-0.428800\pi\)
−0.456850 + 0.889544i \(0.651023\pi\)
\(212\) −1.05718 5.99554i −0.000342486 0.00194234i
\(213\) 636.035 + 19.8976i 0.204603 + 0.00640074i
\(214\) −1803.67 1513.46i −0.576152 0.483449i
\(215\) −1089.20 −0.345503
\(216\) 1511.64 2129.02i 0.476178 0.670653i
\(217\) −31.0243 −0.00970537
\(218\) 2147.88 + 1802.29i 0.667307 + 0.559937i
\(219\) −676.179 1260.64i −0.208639 0.388977i
\(220\) 57.8185 + 327.905i 0.0177187 + 0.100488i
\(221\) 3751.93 + 1365.59i 1.14200 + 0.415655i
\(222\) 4850.68 + 4335.77i 1.46647 + 1.31080i
\(223\) 670.069 3800.15i 0.201216 1.14115i −0.702069 0.712109i \(-0.747740\pi\)
0.903285 0.429042i \(-0.141149\pi\)
\(224\) 231.581 401.110i 0.0690767 0.119644i
\(225\) −466.656 + 1931.33i −0.138268 + 0.572246i
\(226\) −1420.58 2460.51i −0.418121 0.724206i
\(227\) −2921.06 + 1063.18i −0.854085 + 0.310862i −0.731705 0.681622i \(-0.761275\pi\)
−0.122381 + 0.992483i \(0.539053\pi\)
\(228\) 1339.67 1054.53i 0.389131 0.306306i
\(229\) −2032.93 + 1705.83i −0.586636 + 0.492246i −0.887119 0.461541i \(-0.847297\pi\)
0.300483 + 0.953787i \(0.402852\pi\)
\(230\) −1626.27 + 1364.60i −0.466231 + 0.391214i
\(231\) 503.468 + 201.290i 0.143402 + 0.0573329i
\(232\) 3292.23 1198.27i 0.931662 0.339097i
\(233\) −786.716 1362.63i −0.221200 0.383129i 0.733973 0.679179i \(-0.237664\pi\)
−0.955173 + 0.296050i \(0.904331\pi\)
\(234\) 1336.58 + 2690.60i 0.373397 + 0.751667i
\(235\) −603.945 + 1046.06i −0.167647 + 0.290373i
\(236\) −92.3255 + 523.604i −0.0254656 + 0.144422i
\(237\) −1274.90 + 419.366i −0.349424 + 0.114940i
\(238\) −1664.30 605.756i −0.453280 0.164980i
\(239\) 873.066 + 4951.40i 0.236293 + 1.34008i 0.839874 + 0.542781i \(0.182629\pi\)
−0.603581 + 0.797301i \(0.706260\pi\)
\(240\) −1503.93 + 2426.36i −0.404492 + 0.652587i
\(241\) 1513.53 + 1270.01i 0.404545 + 0.339453i 0.822247 0.569130i \(-0.192720\pi\)
−0.417702 + 0.908584i \(0.637165\pi\)
\(242\) −2771.65 −0.736234
\(243\) −1360.01 3535.43i −0.359032 0.933325i
\(244\) −1541.17 −0.404358
\(245\) 1754.39 + 1472.11i 0.457484 + 0.383875i
\(246\) −1821.67 + 2938.98i −0.472136 + 0.761719i
\(247\) −920.063 5217.93i −0.237013 1.34417i
\(248\) −111.704 40.6570i −0.0286017 0.0104102i
\(249\) −6566.68 + 2160.05i −1.67127 + 0.549750i
\(250\) 788.195 4470.08i 0.199399 1.13085i
\(251\) −1098.18 + 1902.11i −0.276162 + 0.478326i −0.970428 0.241392i \(-0.922396\pi\)
0.694266 + 0.719719i \(0.255729\pi\)
\(252\) −126.120 253.885i −0.0315270 0.0634653i
\(253\) 997.694 + 1728.06i 0.247923 + 0.429415i
\(254\) 6603.80 2403.59i 1.63134 0.593758i
\(255\) 3957.14 + 1582.09i 0.971786 + 0.388526i
\(256\) 2374.45 1992.40i 0.579701 0.486427i
\(257\) −1840.98 + 1544.77i −0.446838 + 0.374941i −0.838261 0.545270i \(-0.816427\pi\)
0.391423 + 0.920211i \(0.371983\pi\)
\(258\) 1977.15 1556.32i 0.477100 0.375551i
\(259\) −1792.80 + 652.524i −0.430112 + 0.156548i
\(260\) −270.500 468.520i −0.0645219 0.111755i
\(261\) 1193.75 4940.51i 0.283107 1.17168i
\(262\) 586.110 1015.17i 0.138206 0.239380i
\(263\) −708.982 + 4020.83i −0.166227 + 0.942720i 0.781564 + 0.623826i \(0.214422\pi\)
−0.947790 + 0.318894i \(0.896689\pi\)
\(264\) 1548.97 + 1384.54i 0.361108 + 0.322775i
\(265\) −18.9766 6.90691i −0.00439895 0.00160109i
\(266\) 408.126 + 2314.60i 0.0940745 + 0.533523i
\(267\) −204.265 380.823i −0.0468196 0.0872883i
\(268\) 392.735 + 329.543i 0.0895152 + 0.0751122i
\(269\) 1962.92 0.444911 0.222456 0.974943i \(-0.428593\pi\)
0.222456 + 0.974943i \(0.428593\pi\)
\(270\) 1336.12 + 2915.05i 0.301161 + 0.657052i
\(271\) 1628.04 0.364930 0.182465 0.983212i \(-0.441592\pi\)
0.182465 + 0.983212i \(0.441592\pi\)
\(272\) −6713.81 5633.56i −1.49663 1.25583i
\(273\) −880.564 27.5474i −0.195217 0.00610711i
\(274\) 552.473 + 3133.23i 0.121811 + 0.690823i
\(275\) −1485.58 540.707i −0.325760 0.118567i
\(276\) 213.194 1021.23i 0.0464955 0.222720i
\(277\) 630.670 3576.71i 0.136799 0.775825i −0.836791 0.547522i \(-0.815571\pi\)
0.973590 0.228303i \(-0.0733177\pi\)
\(278\) 4033.38 6986.02i 0.870165 1.50717i
\(279\) −138.777 + 102.377i −0.0297792 + 0.0219682i
\(280\) −324.091 561.342i −0.0691719 0.119809i
\(281\) 7854.93 2858.96i 1.66757 0.606944i 0.676041 0.736864i \(-0.263694\pi\)
0.991525 + 0.129919i \(0.0414719\pi\)
\(282\) −398.382 2761.79i −0.0841251 0.583200i
\(283\) −5226.77 + 4385.78i −1.09788 + 0.921229i −0.997281 0.0736981i \(-0.976520\pi\)
−0.100598 + 0.994927i \(0.532075\pi\)
\(284\) 202.786 170.158i 0.0423702 0.0355528i
\(285\) −807.412 5597.41i −0.167814 1.16337i
\(286\) −2246.26 + 817.573i −0.464421 + 0.169035i
\(287\) −506.986 878.126i −0.104273 0.180607i
\(288\) −287.712 2558.43i −0.0588667 0.523463i
\(289\) −4085.54 + 7076.37i −0.831578 + 1.44034i
\(290\) −747.149 + 4237.29i −0.151290 + 0.858009i
\(291\) −39.3658 + 188.567i −0.00793011 + 0.0379863i
\(292\) −559.209 203.535i −0.112073 0.0407911i
\(293\) −1414.12 8019.84i −0.281957 1.59906i −0.715956 0.698146i \(-0.754009\pi\)
0.433999 0.900914i \(-0.357102\pi\)
\(294\) −5288.03 165.430i −1.04899 0.0328165i
\(295\) 1351.02 + 1133.64i 0.266641 + 0.223739i
\(296\) −7310.16 −1.43545
\(297\) 2916.34 760.981i 0.569776 0.148675i
\(298\) 10753.0 2.09028
\(299\) −2483.61 2083.99i −0.480370 0.403078i
\(300\) 390.690 + 728.384i 0.0751882 + 0.140178i
\(301\) 128.128 + 726.653i 0.0245356 + 0.139148i
\(302\) −3215.00 1170.17i −0.612592 0.222965i
\(303\) 4324.16 + 3865.13i 0.819856 + 0.732826i
\(304\) −2019.59 + 11453.7i −0.381024 + 2.16090i
\(305\) −2556.09 + 4427.27i −0.479873 + 0.831164i
\(306\) −9443.66 + 2782.34i −1.76424 + 0.519791i
\(307\) −2325.36 4027.64i −0.432297 0.748761i 0.564773 0.825246i \(-0.308964\pi\)
−0.997071 + 0.0764852i \(0.975630\pi\)
\(308\) 211.957 77.1462i 0.0392123 0.0142721i
\(309\) 5044.38 3970.70i 0.928688 0.731020i
\(310\) 111.833 93.8390i 0.0204893 0.0171926i
\(311\) 2205.80 1850.88i 0.402184 0.337472i −0.419153 0.907916i \(-0.637673\pi\)
0.821337 + 0.570443i \(0.193229\pi\)
\(312\) −3134.41 1253.16i −0.568752 0.227391i
\(313\) 818.697 297.981i 0.147845 0.0538112i −0.267038 0.963686i \(-0.586045\pi\)
0.414883 + 0.909875i \(0.363823\pi\)
\(314\) 4358.44 + 7549.04i 0.783316 + 1.35674i
\(315\) −938.502 58.7772i −0.167868 0.0105134i
\(316\) −279.155 + 483.510i −0.0496952 + 0.0860746i
\(317\) 1155.64 6553.97i 0.204755 1.16122i −0.693070 0.720870i \(-0.743743\pi\)
0.897825 0.440352i \(-0.145146\pi\)
\(318\) 44.3157 14.5773i 0.00781478 0.00257060i
\(319\) 3800.24 + 1383.18i 0.666999 + 0.242768i
\(320\) −384.729 2181.91i −0.0672094 0.381163i
\(321\) 2021.99 3262.18i 0.351578 0.567218i
\(322\) 1101.69 + 924.428i 0.190667 + 0.159989i
\(323\) 17362.9 2.99101
\(324\) −1401.95 719.495i −0.240389 0.123370i
\(325\) 2568.69 0.438416
\(326\) −1229.74 1031.87i −0.208923 0.175307i
\(327\) −2407.86 + 3884.72i −0.407203 + 0.656959i
\(328\) −674.649 3826.13i −0.113571 0.644093i
\(329\) 768.918 + 279.863i 0.128850 + 0.0468977i
\(330\) −2423.69 + 797.251i −0.404302 + 0.132992i
\(331\) −1550.58 + 8793.78i −0.257485 + 1.46027i 0.532127 + 0.846665i \(0.321393\pi\)
−0.789612 + 0.613607i \(0.789718\pi\)
\(332\) −1437.86 + 2490.44i −0.237689 + 0.411689i
\(333\) −5866.26 + 8834.89i −0.965372 + 1.45390i
\(334\) 843.427 + 1460.86i 0.138174 + 0.239325i
\(335\) 1598.03 581.637i 0.260627 0.0948603i
\(336\) 1795.64 + 717.908i 0.291548 + 0.116563i
\(337\) 885.644 743.143i 0.143158 0.120123i −0.568397 0.822755i \(-0.692436\pi\)
0.711554 + 0.702631i \(0.247992\pi\)
\(338\) −2389.64 + 2005.15i −0.384555 + 0.322680i
\(339\) 3639.07 2864.50i 0.583030 0.458934i
\(340\) 1665.93 606.350i 0.265729 0.0967174i
\(341\) −68.6079 118.832i −0.0108954 0.0188714i
\(342\) 9463.54 + 9006.87i 1.49628 + 1.42408i
\(343\) 1608.75 2786.44i 0.253249 0.438640i
\(344\) −490.939 + 2784.25i −0.0769467 + 0.436386i
\(345\) −2580.06 2306.18i −0.402625 0.359885i
\(346\) −2760.56 1004.76i −0.428926 0.156116i
\(347\) 1188.95 + 6742.88i 0.183937 + 1.04316i 0.927313 + 0.374287i \(0.122112\pi\)
−0.743376 + 0.668874i \(0.766776\pi\)
\(348\) −999.418 1863.27i −0.153949 0.287016i
\(349\) −1732.21 1453.49i −0.265681 0.222933i 0.500208 0.865905i \(-0.333257\pi\)
−0.765890 + 0.642972i \(0.777701\pi\)
\(350\) −1139.43 −0.174015
\(351\) −4029.83 + 2782.54i −0.612811 + 0.423136i
\(352\) 2048.50 0.310186
\(353\) −4093.57 3434.91i −0.617220 0.517909i 0.279709 0.960085i \(-0.409762\pi\)
−0.896928 + 0.442176i \(0.854207\pi\)
\(354\) −4072.20 127.394i −0.611398 0.0191268i
\(355\) −152.479 864.749i −0.0227964 0.129285i
\(356\) −168.930 61.4855i −0.0251496 0.00915372i
\(357\) 589.979 2826.08i 0.0874649 0.418969i
\(358\) 285.330 1618.19i 0.0421233 0.238893i
\(359\) 183.124 317.180i 0.0269217 0.0466298i −0.852251 0.523134i \(-0.824763\pi\)
0.879172 + 0.476504i \(0.158096\pi\)
\(360\) −3302.08 1441.53i −0.483431 0.211042i
\(361\) −8090.94 14013.9i −1.17961 2.04314i
\(362\) 5036.42 1833.11i 0.731239 0.266149i
\(363\) −645.025 4471.65i −0.0932646 0.646559i
\(364\) −280.749 + 235.576i −0.0404265 + 0.0339218i
\(365\) −1512.16 + 1268.85i −0.216849 + 0.181958i
\(366\) −1686.08 11688.8i −0.240800 1.66935i
\(367\) −7699.52 + 2802.40i −1.09513 + 0.398594i −0.825518 0.564376i \(-0.809117\pi\)
−0.269609 + 0.962970i \(0.586895\pi\)
\(368\) 3558.32 + 6163.18i 0.504049 + 0.873038i
\(369\) −5165.56 2255.03i −0.728749 0.318135i
\(370\) 4488.79 7774.81i 0.630706 1.09241i
\(371\) −2.37557 + 13.4726i −0.000332436 + 0.00188534i
\(372\) −14.6606 + 70.2261i −0.00204332 + 0.00978778i
\(373\) −2422.87 881.852i −0.336331 0.122414i 0.168333 0.985730i \(-0.446161\pi\)
−0.504664 + 0.863316i \(0.668384\pi\)
\(374\) −1360.25 7714.37i −0.188067 1.06658i
\(375\) 7395.24 + 231.351i 1.01837 + 0.0318584i
\(376\) 2401.76 + 2015.32i 0.329419 + 0.276415i
\(377\) −6570.93 −0.897666
\(378\) 1787.57 1234.29i 0.243235 0.167950i
\(379\) 1973.04 0.267410 0.133705 0.991021i \(-0.457313\pi\)
0.133705 + 0.991021i \(0.457313\pi\)
\(380\) −1802.20 1512.23i −0.243292 0.204146i
\(381\) 5414.68 + 10094.9i 0.728091 + 1.35742i
\(382\) −1403.95 7962.18i −0.188042 1.06644i
\(383\) −7465.36 2717.17i −0.995985 0.362509i −0.207950 0.978139i \(-0.566679\pi\)
−0.788035 + 0.615631i \(0.788901\pi\)
\(384\) 6771.30 + 6052.50i 0.899860 + 0.804337i
\(385\) 129.924 736.833i 0.0171988 0.0975390i
\(386\) −3001.11 + 5198.08i −0.395732 + 0.685428i
\(387\) 2971.01 + 2827.65i 0.390246 + 0.371414i
\(388\) 40.0673 + 69.3986i 0.00524255 + 0.00908037i
\(389\) −306.811 + 111.670i −0.0399895 + 0.0145550i −0.361937 0.932202i \(-0.617885\pi\)
0.321948 + 0.946757i \(0.395662\pi\)
\(390\) 3257.48 2564.14i 0.422947 0.332924i
\(391\) 8138.73 6829.21i 1.05267 0.883293i
\(392\) 4553.80 3821.09i 0.586739 0.492332i
\(393\) 1774.23 + 709.349i 0.227731 + 0.0910481i
\(394\) −4678.82 + 1702.95i −0.598262 + 0.217750i
\(395\) 925.976 + 1603.84i 0.117952 + 0.204298i
\(396\) 693.552 1044.52i 0.0880109 0.132549i
\(397\) −2203.97 + 3817.39i −0.278625 + 0.482592i −0.971043 0.238904i \(-0.923212\pi\)
0.692418 + 0.721496i \(0.256545\pi\)
\(398\) −1116.06 + 6329.49i −0.140560 + 0.797158i
\(399\) −3639.28 + 1197.11i −0.456622 + 0.150202i
\(400\) −5298.38 1928.45i −0.662297 0.241057i
\(401\) 1422.73 + 8068.72i 0.177177 + 1.00482i 0.935601 + 0.353059i \(0.114858\pi\)
−0.758424 + 0.651761i \(0.774030\pi\)
\(402\) −2069.71 + 3339.16i −0.256786 + 0.414284i
\(403\) 170.789 + 143.309i 0.0211107 + 0.0177139i
\(404\) 2412.70 0.297119
\(405\) −4392.05 + 2834.03i −0.538871 + 0.347713i
\(406\) 2914.77 0.356299
\(407\) −6464.00 5423.94i −0.787245 0.660577i
\(408\) 5827.79 9402.25i 0.707153 1.14088i
\(409\) 1671.81 + 9481.29i 0.202116 + 1.14626i 0.901914 + 0.431917i \(0.142162\pi\)
−0.699797 + 0.714341i \(0.746726\pi\)
\(410\) 4483.59 + 1631.89i 0.540070 + 0.196570i
\(411\) −4926.43 + 1620.51i −0.591248 + 0.194486i
\(412\) 463.739 2629.99i 0.0554534 0.314492i
\(413\) 597.369 1034.67i 0.0711734 0.123276i
\(414\) 7978.58 + 499.689i 0.947163 + 0.0593197i
\(415\) 4769.48 + 8260.98i 0.564156 + 0.977146i
\(416\) −3127.68 + 1138.38i −0.368623 + 0.134168i
\(417\) 12209.6 + 4881.46i 1.43382 + 0.573252i
\(418\) −7963.07 + 6681.81i −0.931786 + 0.781862i
\(419\) −10521.3 + 8828.44i −1.22673 + 1.02935i −0.228286 + 0.973594i \(0.573312\pi\)
−0.998444 + 0.0557553i \(0.982243\pi\)
\(420\) −307.376 + 241.952i −0.0357105 + 0.0281097i
\(421\) 10081.3 3669.30i 1.16706 0.424776i 0.315447 0.948943i \(-0.397846\pi\)
0.851615 + 0.524167i \(0.175623\pi\)
\(422\) −1221.84 2116.28i −0.140943 0.244121i
\(423\) 4363.03 1285.46i 0.501508 0.147757i
\(424\) −26.2090 + 45.3953i −0.00300194 + 0.00519950i
\(425\) −1461.69 + 8289.66i −0.166829 + 0.946136i
\(426\) 1512.39 + 1351.84i 0.172008 + 0.153749i
\(427\) 3254.30 + 1184.47i 0.368821 + 0.134240i
\(428\) −277.246 1572.34i −0.0313112 0.177575i
\(429\) −1841.79 3433.75i −0.207278 0.386440i
\(430\) −2659.77 2231.81i −0.298292 0.250296i
\(431\) 1902.52 0.212624 0.106312 0.994333i \(-0.466096\pi\)
0.106312 + 0.994333i \(0.466096\pi\)
\(432\) 10401.3 2714.07i 1.15840 0.302270i
\(433\) −12218.4 −1.35607 −0.678034 0.735031i \(-0.737168\pi\)
−0.678034 + 0.735031i \(0.737168\pi\)
\(434\) −75.7594 63.5697i −0.00837918 0.00703097i
\(435\) −7010.13 219.303i −0.772666 0.0241719i
\(436\) 330.155 + 1872.40i 0.0362651 + 0.205669i
\(437\) −13248.5 4822.06i −1.45025 0.527849i
\(438\) 931.896 4463.91i 0.101661 0.486972i
\(439\) 213.898 1213.08i 0.0232547 0.131884i −0.970970 0.239200i \(-0.923115\pi\)
0.994225 + 0.107317i \(0.0342258\pi\)
\(440\) 1433.41 2482.73i 0.155307 0.268999i
\(441\) −963.746 8569.96i −0.104065 0.925382i
\(442\) 6363.85 + 11022.5i 0.684836 + 1.18617i
\(443\) 10371.8 3775.04i 1.11237 0.404871i 0.280510 0.959851i \(-0.409497\pi\)
0.831863 + 0.554981i \(0.187274\pi\)
\(444\) 629.857 + 4366.50i 0.0673236 + 0.466723i
\(445\) −456.804 + 383.304i −0.0486620 + 0.0408323i
\(446\) 9422.88 7906.74i 1.00042 0.839450i
\(447\) 2502.45 + 17348.3i 0.264792 + 1.83568i
\(448\) −1410.38 + 513.337i −0.148737 + 0.0541360i
\(449\) −6640.39 11501.5i −0.697950 1.20888i −0.969176 0.246369i \(-0.920763\pi\)
0.271227 0.962516i \(-0.412571\pi\)
\(450\) −5096.89 + 3760.00i −0.533933 + 0.393884i
\(451\) 2242.33 3883.82i 0.234118 0.405504i
\(452\) 334.546 1897.31i 0.0348136 0.197438i
\(453\) 1139.69 5459.26i 0.118206 0.566222i
\(454\) −9311.53 3389.12i −0.962581 0.350351i
\(455\) 211.100 + 1197.21i 0.0217506 + 0.123354i
\(456\) −14672.2 459.001i −1.50677 0.0471375i
\(457\) 635.660 + 533.382i 0.0650654 + 0.0545964i 0.674740 0.738055i \(-0.264256\pi\)
−0.609675 + 0.792652i \(0.708700\pi\)
\(458\) −8459.58 −0.863079
\(459\) −6686.65 14588.4i −0.679970 1.48351i
\(460\) −1439.56 −0.145913
\(461\) 10779.2 + 9044.81i 1.08902 + 0.913793i 0.996638 0.0819309i \(-0.0261087\pi\)
0.0923782 + 0.995724i \(0.470553\pi\)
\(462\) 816.990 + 1523.16i 0.0822723 + 0.153385i
\(463\) −218.864 1241.24i −0.0219686 0.124590i 0.971851 0.235595i \(-0.0757040\pi\)
−0.993820 + 0.111005i \(0.964593\pi\)
\(464\) 13553.7 + 4933.15i 1.35607 + 0.493568i
\(465\) 177.421 + 158.588i 0.0176940 + 0.0158157i
\(466\) 870.962 4939.47i 0.0865805 0.491023i
\(467\) 523.513 906.752i 0.0518743 0.0898490i −0.838922 0.544251i \(-0.816814\pi\)
0.890797 + 0.454402i \(0.150147\pi\)
\(468\) −478.468 + 1980.22i −0.0472589 + 0.195589i
\(469\) −576.019 997.694i −0.0567123 0.0982286i
\(470\) −3618.21 + 1316.92i −0.355097 + 0.129245i
\(471\) −11165.0 + 8788.53i −1.09226 + 0.859775i
\(472\) 3506.78 2942.54i 0.341976 0.286952i
\(473\) −2499.95 + 2097.71i −0.243019 + 0.203917i
\(474\) −3972.51 1588.24i −0.384944 0.153903i
\(475\) 10496.6 3820.45i 1.01393 0.369041i
\(476\) −600.493 1040.08i −0.0578226 0.100152i
\(477\) 33.8315 + 68.1044i 0.00324746 + 0.00653729i
\(478\) −8013.60 + 13880.0i −0.766807 + 1.32815i
\(479\) 2585.05 14660.6i 0.246585 1.39845i −0.570198 0.821507i \(-0.693134\pi\)
0.816783 0.576945i \(-0.195755\pi\)
\(480\) −3374.73 + 1110.09i −0.320906 + 0.105559i
\(481\) 12883.5 + 4689.22i 1.22128 + 0.444511i
\(482\) 1093.68 + 6202.55i 0.103352 + 0.586138i
\(483\) −1235.04 + 1992.55i −0.116348 + 0.187710i
\(484\) −1439.74 1208.09i −0.135212 0.113457i
\(485\) 265.812 0.0248864
\(486\) 3923.13 11420.0i 0.366167 1.06589i
\(487\) −5554.29 −0.516815 −0.258408 0.966036i \(-0.583198\pi\)
−0.258408 + 0.966036i \(0.583198\pi\)
\(488\) 10165.0 + 8529.46i 0.942927 + 0.791210i
\(489\) 1378.59 2224.14i 0.127488 0.205683i
\(490\) 1267.72 + 7189.58i 0.116877 + 0.662841i
\(491\) 19584.3 + 7128.09i 1.80005 + 0.655165i 0.998349 + 0.0574416i \(0.0182943\pi\)
0.801702 + 0.597723i \(0.203928\pi\)
\(492\) −2227.29 + 732.648i −0.204094 + 0.0671348i
\(493\) 3739.13 21205.7i 0.341586 1.93723i
\(494\) 8444.97 14627.1i 0.769144 1.33220i
\(495\) −1850.29 3724.73i −0.168009 0.338210i
\(496\) −244.693 423.820i −0.0221513 0.0383671i
\(497\) −558.973 + 203.450i −0.0504495 + 0.0183621i
\(498\) −20461.4 8180.62i −1.84116 0.736109i
\(499\) 4643.93 3896.72i 0.416615 0.349581i −0.410259 0.911969i \(-0.634562\pi\)
0.826874 + 0.562388i \(0.190117\pi\)
\(500\) 2357.81 1978.44i 0.210889 0.176957i
\(501\) −2160.59 + 1700.72i −0.192671 + 0.151662i
\(502\) −6579.16 + 2394.62i −0.584945 + 0.212903i
\(503\) −7450.91 12905.4i −0.660477 1.14398i −0.980491 0.196566i \(-0.937021\pi\)
0.320014 0.947413i \(-0.396312\pi\)
\(504\) −573.261 + 2372.53i −0.0506648 + 0.209684i
\(505\) 4001.55 6930.88i 0.352607 0.610733i
\(506\) −1104.53 + 6264.11i −0.0970404 + 0.550344i
\(507\) −3791.14 3388.70i −0.332091 0.296839i
\(508\) 4478.02 + 1629.86i 0.391102 + 0.142350i
\(509\) −972.211 5513.68i −0.0846611 0.480137i −0.997429 0.0716588i \(-0.977171\pi\)
0.912768 0.408478i \(-0.133940\pi\)
\(510\) 6421.34 + 11971.6i 0.557533 + 1.03944i
\(511\) 1024.39 + 859.562i 0.0886814 + 0.0744125i
\(512\) −4101.93 −0.354066
\(513\) −12328.9 + 17364.1i −1.06108 + 1.49443i
\(514\) −7660.84 −0.657403
\(515\) −6785.98 5694.11i −0.580633 0.487209i
\(516\) 1705.39 + 53.3510i 0.145495 + 0.00455164i
\(517\) 628.444 + 3564.09i 0.0534603 + 0.303188i
\(518\) −5714.94 2080.07i −0.484749 0.176434i
\(519\) 978.591 4687.58i 0.0827657 0.396459i
\(520\) −808.855 + 4587.25i −0.0682128 + 0.386854i
\(521\) −3084.48 + 5342.47i −0.259373 + 0.449248i −0.966074 0.258265i \(-0.916849\pi\)
0.706701 + 0.707512i \(0.250183\pi\)
\(522\) 13038.3 9618.39i 1.09324 0.806486i
\(523\) 11712.8 + 20287.2i 0.979285 + 1.69617i 0.665002 + 0.746842i \(0.268431\pi\)
0.314283 + 0.949329i \(0.398236\pi\)
\(524\) 746.941 271.864i 0.0622715 0.0226650i
\(525\) −265.171 1838.31i −0.0220438 0.152819i
\(526\) −9970.10 + 8365.90i −0.826458 + 0.693481i
\(527\) −559.672 + 469.620i −0.0462613 + 0.0388178i
\(528\) 1221.12 + 8465.45i 0.100649 + 0.697749i
\(529\) 3326.47 1210.74i 0.273401 0.0995099i
\(530\) −32.1872 55.7498i −0.00263796 0.00456909i
\(531\) −742.160 6599.54i −0.0606535 0.539352i
\(532\) −796.867 + 1380.21i −0.0649409 + 0.112481i
\(533\) −1265.32 + 7175.98i −0.102828 + 0.583164i
\(534\) 281.514 1348.49i 0.0228133 0.109279i
\(535\) −4976.64 1811.35i −0.402166 0.146377i
\(536\) −766.511 4347.10i −0.0617691 0.350310i
\(537\) 2677.11 + 83.7500i 0.215132 + 0.00673013i
\(538\) 4793.32 + 4022.07i 0.384117 + 0.322312i
\(539\) 6861.84 0.548350
\(540\) −576.538 + 2096.60i −0.0459449 + 0.167081i
\(541\) −17748.3 −1.41046 −0.705230 0.708979i \(-0.749156\pi\)
−0.705230 + 0.708979i \(0.749156\pi\)
\(542\) 3975.56 + 3335.89i 0.315065 + 0.264371i
\(543\) 4129.54 + 7698.92i 0.326364 + 0.608457i
\(544\) −1894.01 10741.4i −0.149274 0.846573i
\(545\) 5926.37 + 2157.02i 0.465794 + 0.169535i
\(546\) −2093.84 1871.57i −0.164117 0.146696i
\(547\) −3488.54 + 19784.5i −0.272686 + 1.54648i 0.473533 + 0.880776i \(0.342978\pi\)
−0.746219 + 0.665701i \(0.768133\pi\)
\(548\) −1078.70 + 1868.37i −0.0840876 + 0.145644i
\(549\) 18465.7 5440.47i 1.43552 0.422939i
\(550\) −2519.77 4364.37i −0.195352 0.338359i
\(551\) −26851.2 + 9773.05i −2.07605 + 0.755619i
\(552\) −7058.03 + 5555.75i −0.544220 + 0.428385i
\(553\) 961.060 806.425i 0.0739031 0.0620121i
\(554\) 8868.84 7441.84i 0.680146 0.570710i
\(555\) 13588.2 + 5432.63i 1.03925 + 0.415500i
\(556\) 5140.16 1870.86i 0.392071 0.142702i
\(557\) 6968.42 + 12069.7i 0.530093 + 0.918147i 0.999384 + 0.0351037i \(0.0111761\pi\)
−0.469291 + 0.883043i \(0.655491\pi\)
\(558\) −548.659 34.3618i −0.0416247 0.00260690i
\(559\) 2651.24 4592.08i 0.200600 0.347450i
\(560\) 463.378 2627.94i 0.0349666 0.198305i
\(561\) 12129.4 3989.87i 0.912843 0.300272i
\(562\) 25039.4 + 9113.58i 1.87940 + 0.684045i
\(563\) −533.880 3027.78i −0.0399651 0.226653i 0.958283 0.285821i \(-0.0922664\pi\)
−0.998248 + 0.0591679i \(0.981155\pi\)
\(564\) 996.848 1608.26i 0.0744235 0.120071i
\(565\) −4895.48 4107.79i −0.364521 0.305869i
\(566\) −21750.1 −1.61524
\(567\) 2407.36 + 2596.74i 0.178306 + 0.192333i
\(568\) −2279.22 −0.168370
\(569\) 4846.04 + 4066.31i 0.357041 + 0.299593i 0.803610 0.595156i \(-0.202910\pi\)
−0.446569 + 0.894749i \(0.647354\pi\)
\(570\) 9497.60 15322.9i 0.697914 1.12598i
\(571\) 2157.30 + 12234.6i 0.158109 + 0.896679i 0.955888 + 0.293730i \(0.0948967\pi\)
−0.797780 + 0.602949i \(0.793992\pi\)
\(572\) −1523.18 554.394i −0.111342 0.0405251i
\(573\) 12519.1 4118.04i 0.912726 0.300233i
\(574\) 561.277 3183.16i 0.0408140 0.231468i
\(575\) 3417.55 5919.37i 0.247864 0.429313i
\(576\) −4614.96 + 6950.36i −0.333836 + 0.502775i
\(577\) −4666.09 8081.90i −0.336658 0.583109i 0.647144 0.762368i \(-0.275963\pi\)
−0.983802 + 0.179259i \(0.942630\pi\)
\(578\) −24476.3 + 8908.66i −1.76139 + 0.641092i
\(579\) −9084.76 3632.14i −0.652072 0.260702i
\(580\) −2235.03 + 1875.41i −0.160008 + 0.134262i
\(581\) 4950.19 4153.70i 0.353474 0.296600i
\(582\) −482.509 + 379.808i −0.0343654 + 0.0270508i
\(583\) −56.8574 + 20.6944i −0.00403909 + 0.00147011i
\(584\) 2561.90 + 4437.33i 0.181527 + 0.314415i
\(585\) 4894.95 + 4658.74i 0.345951 + 0.329257i
\(586\) 12979.7 22481.5i 0.914995 1.58482i
\(587\) 1645.20 9330.41i 0.115681 0.656060i −0.870730 0.491762i \(-0.836353\pi\)
0.986411 0.164298i \(-0.0525359\pi\)
\(588\) −2674.78 2390.84i −0.187595 0.167681i
\(589\) 911.052 + 331.596i 0.0637339 + 0.0231972i
\(590\) 976.242 + 5536.54i 0.0681207 + 0.386332i
\(591\) −3836.32 7152.27i −0.267014 0.497809i
\(592\) −23054.1 19344.7i −1.60054 1.34301i
\(593\) 15625.3 1.08204 0.541022 0.841008i \(-0.318037\pi\)
0.541022 + 0.841008i \(0.318037\pi\)
\(594\) 8680.80 + 4117.41i 0.599626 + 0.284409i
\(595\) −3983.76 −0.274484
\(596\) 5585.66 + 4686.92i 0.383888 + 0.322120i
\(597\) −10471.4 327.586i −0.717868 0.0224576i
\(598\) −1794.65 10178.0i −0.122724 0.696000i
\(599\) −18383.8 6691.17i −1.25400 0.456417i −0.372246 0.928134i \(-0.621412\pi\)
−0.881750 + 0.471717i \(0.843634\pi\)
\(600\) 1454.32 6966.40i 0.0989540 0.474003i
\(601\) 1170.18 6636.41i 0.0794219 0.450424i −0.919000 0.394259i \(-0.871001\pi\)
0.998421 0.0561655i \(-0.0178874\pi\)
\(602\) −1176.05 + 2036.98i −0.0796217 + 0.137909i
\(603\) −5868.92 2562.08i −0.396353 0.173028i
\(604\) −1160.00 2009.18i −0.0781452 0.135351i
\(605\) −5858.30 + 2132.25i −0.393676 + 0.143286i
\(606\) 2639.55 + 18298.7i 0.176938 + 1.22663i
\(607\) 6250.46 5244.76i 0.417954 0.350705i −0.409430 0.912342i \(-0.634272\pi\)
0.827384 + 0.561636i \(0.189828\pi\)
\(608\) −11087.7 + 9303.72i −0.739584 + 0.620585i
\(609\) 678.330 + 4702.54i 0.0451352 + 0.312901i
\(610\) −15313.4 + 5573.63i −1.01643 + 0.369950i
\(611\) −2940.14 5092.47i −0.194673 0.337184i
\(612\) −6118.28 2670.94i −0.404112 0.176415i
\(613\) −2100.86 + 3638.80i −0.138423 + 0.239755i −0.926900 0.375309i \(-0.877537\pi\)
0.788477 + 0.615064i \(0.210870\pi\)
\(614\) 2574.37 14600.0i 0.169207 0.959621i
\(615\) −1589.39 + 7613.39i −0.104212 + 0.499190i
\(616\) −1824.95 664.229i −0.119366 0.0434457i
\(617\) −1694.73 9611.32i −0.110579 0.627127i −0.988844 0.148952i \(-0.952410\pi\)
0.878265 0.478174i \(-0.158701\pi\)
\(618\) 20454.1 + 639.882i 1.33137 + 0.0416502i
\(619\) −10114.5 8487.05i −0.656761 0.551088i 0.252353 0.967635i \(-0.418796\pi\)
−0.909114 + 0.416547i \(0.863240\pi\)
\(620\) 98.9937 0.00641239
\(621\) 1050.62 + 12988.5i 0.0678902 + 0.839311i
\(622\) 9178.93 0.591707
\(623\) 309.454 + 259.663i 0.0199005 + 0.0166985i
\(624\) −6568.81 12246.6i −0.421415 0.785667i
\(625\) −175.557 995.633i −0.0112356 0.0637205i
\(626\) 2609.78 + 949.883i 0.166626 + 0.0606469i
\(627\) −12633.3 11292.2i −0.804666 0.719248i
\(628\) −1026.42 + 5821.09i −0.0652204 + 0.369883i
\(629\) −22464.3 + 38909.3i −1.42402 + 2.46648i
\(630\) −2171.33 2066.55i −0.137314 0.130688i
\(631\) −8133.90 14088.3i −0.513162 0.888823i −0.999883 0.0152658i \(-0.995141\pi\)
0.486721 0.873557i \(-0.338193\pi\)
\(632\) 4517.14 1644.11i 0.284308 0.103479i
\(633\) 3129.96 2463.76i 0.196532 0.154701i
\(634\) 16251.3 13636.4i 1.01801 0.854215i
\(635\) 12109.0 10160.7i 0.756743 0.634982i
\(636\) 29.3737 + 11.7438i 0.00183136 + 0.000732188i
\(637\) −10476.8 + 3813.23i −0.651656 + 0.237183i
\(638\) 6445.79 + 11164.4i 0.399986 + 0.692797i
\(639\) −1829.03 + 2754.62i −0.113232 + 0.170534i
\(640\) 6266.12 10853.2i 0.387016 0.670331i
\(641\) 967.776 5488.53i 0.0596331 0.338196i −0.940365 0.340167i \(-0.889516\pi\)
0.999998 + 0.00197102i \(0.000627395\pi\)
\(642\) 11621.9 3822.91i 0.714453 0.235013i
\(643\) −22952.9 8354.19i −1.40774 0.512375i −0.477273 0.878755i \(-0.658375\pi\)
−0.930465 + 0.366380i \(0.880597\pi\)
\(644\) 169.343 + 960.392i 0.0103619 + 0.0587652i
\(645\) 2981.71 4810.53i 0.182023 0.293666i
\(646\) 42399.0 + 35577.0i 2.58230 + 2.16681i
\(647\) 25936.4 1.57599 0.787994 0.615683i \(-0.211120\pi\)
0.787994 + 0.615683i \(0.211120\pi\)
\(648\) 5264.78 + 12504.5i 0.319167 + 0.758059i
\(649\) 5284.15 0.319601
\(650\) 6272.58 + 5263.32i 0.378509 + 0.317607i
\(651\) 84.9294 137.021i 0.00511313 0.00824925i
\(652\) −189.025 1072.02i −0.0113540 0.0643917i
\(653\) 14132.2 + 5143.69i 0.846913 + 0.308251i 0.728781 0.684747i \(-0.240087\pi\)
0.118132 + 0.992998i \(0.462309\pi\)
\(654\) −13839.8 + 4552.47i −0.827489 + 0.272195i
\(655\) 457.853 2596.61i 0.0273127 0.154898i
\(656\) 7997.34 13851.8i 0.475981 0.824424i
\(657\) 7418.73 + 464.626i 0.440536 + 0.0275902i
\(658\) 1304.20 + 2258.94i 0.0772691 + 0.133834i
\(659\) 8234.48 2997.10i 0.486752 0.177163i −0.0869738 0.996211i \(-0.527720\pi\)
0.573726 + 0.819047i \(0.305497\pi\)
\(660\) −1606.49 642.285i −0.0947463 0.0378802i
\(661\) −11054.9 + 9276.12i −0.650505 + 0.545839i −0.907224 0.420647i \(-0.861803\pi\)
0.256719 + 0.966486i \(0.417359\pi\)
\(662\) −21805.1 + 18296.7i −1.28018 + 1.07420i
\(663\) −16302.2 + 12832.3i −0.954939 + 0.751683i
\(664\) 23266.7 8468.39i 1.35983 0.494936i
\(665\) 2643.27 + 4578.27i 0.154138 + 0.266974i
\(666\) −32428.0 + 9554.11i −1.88673 + 0.555877i
\(667\) −8742.39 + 15142.3i −0.507506 + 0.879026i
\(668\) −198.627 + 1126.47i −0.0115047 + 0.0652463i
\(669\) 14949.3 + 13362.4i 0.863934 + 0.772225i
\(670\) 5094.09 + 1854.10i 0.293734 + 0.106910i
\(671\) 2659.78 + 15084.3i 0.153025 + 0.867846i
\(672\) 1137.57 + 2120.84i 0.0653018 + 0.121746i
\(673\) 4937.34 + 4142.92i 0.282794 + 0.237292i 0.773140 0.634236i \(-0.218685\pi\)
−0.490346 + 0.871528i \(0.663130\pi\)
\(674\) 3685.41 0.210618
\(675\) −7252.36 7348.05i −0.413546 0.419003i
\(676\) −2115.30 −0.120351
\(677\) 5427.06 + 4553.85i 0.308093 + 0.258521i 0.783703 0.621135i \(-0.213328\pi\)
−0.475610 + 0.879656i \(0.657773\pi\)
\(678\) 14755.8 + 461.618i 0.835832 + 0.0261480i
\(679\) −31.2689 177.335i −0.00176729 0.0100228i
\(680\) −14343.7 5220.67i −0.808904 0.294417i
\(681\) 3300.84 15811.5i 0.185740 0.889718i
\(682\) 75.9548 430.761i 0.00426460 0.0241858i
\(683\) 9702.06 16804.5i 0.543542 0.941442i −0.455156 0.890412i \(-0.650416\pi\)
0.998697 0.0510297i \(-0.0162503\pi\)
\(684\) 990.012 + 8803.53i 0.0553422 + 0.492122i
\(685\) 3578.14 + 6197.52i 0.199582 + 0.345686i
\(686\) 9637.96 3507.93i 0.536413 0.195238i
\(687\) −1968.73 13648.3i −0.109333 0.757954i
\(688\) −8916.18 + 7481.57i −0.494079 + 0.414581i
\(689\) 75.3106 63.1931i 0.00416416 0.00349414i
\(690\) −1574.92 10918.2i −0.0868928 0.602387i
\(691\) −27872.8 + 10144.9i −1.53449 + 0.558508i −0.964715 0.263295i \(-0.915191\pi\)
−0.569772 + 0.821803i \(0.692968\pi\)
\(692\) −996.031 1725.18i −0.0547159 0.0947708i
\(693\) −2267.26 + 1672.57i −0.124280 + 0.0916818i
\(694\) −10913.0 + 18901.9i −0.596906 + 1.03387i
\(695\) 3150.76 17868.9i 0.171964 0.975259i
\(696\) −3720.28 + 17820.6i −0.202610 + 0.970531i
\(697\) −22438.3 8166.87i −1.21938 0.443820i
\(698\) −1251.69 7098.68i −0.0678755 0.384941i
\(699\) 8171.80 + 255.645i 0.442183 + 0.0138331i
\(700\) −591.881 496.647i −0.0319585 0.0268164i
\(701\) −29123.5 −1.56916 −0.784579 0.620029i \(-0.787121\pi\)
−0.784579 + 0.620029i \(0.787121\pi\)
\(702\) −15542.1 1462.46i −0.835611 0.0786284i
\(703\) 59621.2 3.19866
\(704\) −5085.20 4266.99i −0.272238 0.228435i
\(705\) −2966.70 5530.98i −0.158485 0.295473i
\(706\) −2958.00 16775.7i −0.157685 0.894279i
\(707\) −5094.60 1854.28i −0.271007 0.0986386i
\(708\) −2059.79 1841.13i −0.109338 0.0977317i
\(709\) −3531.60 + 20028.7i −0.187069 + 1.06092i 0.736199 + 0.676765i \(0.236619\pi\)
−0.923268 + 0.384156i \(0.874492\pi\)
\(710\) 1399.55 2424.10i 0.0739779 0.128133i
\(711\) 1637.89 6778.68i 0.0863935 0.357553i
\(712\) 773.917 + 1340.46i 0.0407356 + 0.0705562i
\(713\) 557.474 202.904i 0.0292813 0.0106575i
\(714\) 7231.41 5692.23i 0.379032 0.298356i
\(715\) −4118.85 + 3456.12i −0.215435 + 0.180771i
\(716\) 853.537 716.203i 0.0445505 0.0373823i
\(717\) −24258.2 9698.59i −1.26351 0.505161i
\(718\) 1097.09 399.307i 0.0570236 0.0207549i
\(719\) 727.763 + 1260.52i 0.0377482 + 0.0653819i 0.884282 0.466953i \(-0.154648\pi\)
−0.846534 + 0.532335i \(0.821315\pi\)
\(720\) −6599.14 13284.4i −0.341577 0.687611i
\(721\) −3000.51 + 5197.03i −0.154986 + 0.268443i
\(722\) 8957.36 50799.7i 0.461715 2.61852i
\(723\) −9752.38 + 3207.96i −0.501653 + 0.165014i
\(724\) 3415.18 + 1243.02i 0.175310 + 0.0638075i
\(725\) −2405.54 13642.5i −0.123227 0.698855i
\(726\) 7587.44 12241.2i 0.387874 0.625775i
\(727\) 12410.8 + 10413.9i 0.633136 + 0.531264i 0.901902 0.431941i \(-0.142171\pi\)
−0.268766 + 0.963206i \(0.586616\pi\)
\(728\) 3155.49 0.160646
\(729\) 19337.5 + 3671.71i 0.982447 + 0.186542i
\(730\) −6292.51 −0.319036
\(731\) 13310.9 + 11169.2i 0.673490 + 0.565125i
\(732\) 4218.98 6806.67i 0.213030 0.343691i
\(733\) 2366.89 + 13423.3i 0.119268 + 0.676401i 0.984548 + 0.175113i \(0.0560290\pi\)
−0.865281 + 0.501288i \(0.832860\pi\)
\(734\) −24543.9 8933.26i −1.23424 0.449227i
\(735\) −11304.3 + 3718.45i −0.567300 + 0.186608i
\(736\) −1537.94 + 8722.12i −0.0770236 + 0.436823i
\(737\) 2547.65 4412.65i 0.127332 0.220546i
\(738\) −7993.36 16091.0i −0.398699 0.802600i
\(739\) 9649.92 + 16714.2i 0.480349 + 0.831989i 0.999746 0.0225441i \(-0.00717661\pi\)
−0.519397 + 0.854533i \(0.673843\pi\)
\(740\) 5720.54 2082.10i 0.284177 0.103432i
\(741\) 25564.0 + 10220.7i 1.26737 + 0.506701i
\(742\) −33.4067 + 28.0315i −0.00165283 + 0.00138689i
\(743\) −4709.23 + 3951.52i −0.232524 + 0.195110i −0.751603 0.659615i \(-0.770719\pi\)
0.519080 + 0.854726i \(0.326275\pi\)
\(744\) 485.356 382.049i 0.0239167 0.0188261i
\(745\) 22728.0 8272.31i 1.11770 0.406811i
\(746\) −4109.56 7117.96i −0.201691 0.349339i
\(747\) 8436.38 34915.3i 0.413214 1.71015i
\(748\) 2655.89 4600.14i 0.129825 0.224863i
\(749\) −622.999 + 3533.20i −0.0303924 + 0.172364i
\(750\) 17584.7 + 15718.0i 0.856136 + 0.765254i
\(751\) −25622.3 9325.75i −1.24497 0.453131i −0.366269 0.930509i \(-0.619365\pi\)
−0.878698 + 0.477378i \(0.841587\pi\)
\(752\) 2241.37 + 12711.4i 0.108689 + 0.616408i
\(753\) −5394.48 10057.2i −0.261070 0.486727i
\(754\) −16045.8 13464.0i −0.775005 0.650306i
\(755\) −7695.60 −0.370956
\(756\) 1466.55 + 137.998i 0.0705529 + 0.00663881i
\(757\) 4412.15 0.211839 0.105920 0.994375i \(-0.466221\pi\)
0.105920 + 0.994375i \(0.466221\pi\)
\(758\) 4818.05 + 4042.82i 0.230870 + 0.193723i
\(759\) −10363.3 324.202i −0.495603 0.0155043i
\(760\) 3517.41 + 19948.2i 0.167881 + 0.952102i
\(761\) 8146.13 +