Properties

Label 27.4.e.a.22.7
Level 27
Weight 4
Character 27.22
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 22.7
Character \(\chi\) = 27.22
Dual form 27.4.e.a.16.7

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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 −0.0993326 0.995054i \(-0.531671\pi\)
0.962688 + 0.270613i \(0.0872263\pi\)
\(3\) −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 −0.0226396 0.999744i \(-0.507207\pi\)
0.625280 + 0.780401i \(0.284985\pi\)
\(6\) −15.7345 5.17572i −1.07060 0.352163i
\(7\) 0.843459 + 4.78350i 0.0455425 + 0.258284i 0.999075 0.0430064i \(-0.0136936\pi\)
−0.953532 + 0.301291i \(0.902582\pi\)
\(8\) 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 0.603531 0.797340i \(-0.293760\pi\)
−0.0501890 + 0.998740i \(0.515982\pi\)
\(12\) −10.4293 + 4.16969i −0.250889 + 0.100307i
\(13\) −26.7394 22.4370i −0.570475 0.478685i 0.311329 0.950302i \(-0.399226\pi\)
−0.881803 + 0.471617i \(0.843670\pi\)
\(14\) 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 0.0926783 + 0.995696i \(0.470457\pi\)
−0.908637 + 0.417586i \(0.862876\pi\)
\(18\) 20.2145 + 83.6610i 0.264700 + 1.09551i
\(19\) −75.8961 131.456i −0.916409 1.58727i −0.804826 0.593511i \(-0.797741\pi\)
−0.111583 0.993755i \(-0.535592\pi\)
\(20\) −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 −0.820158 0.572137i \(-0.806114\pi\)
0.966379 0.257123i \(-0.0827744\pi\)
\(24\) 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 −0.0512273 0.998687i \(-0.516313\pi\)
0.974619 + 0.223869i \(0.0718689\pi\)
\(30\) −118.707 + 3.71361i −0.722430 + 0.0226003i
\(31\) −1.10912 + 6.29012i −0.00642592 + 0.0364432i −0.987852 0.155397i \(-0.950334\pi\)
0.981426 + 0.191840i \(0.0614455\pi\)
\(32\) 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 −0.0133160 + 0.999911i \(0.504239\pi\)
−0.859291 + 0.511488i \(0.829095\pi\)
\(38\) −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 0.894366 0.447336i \(-0.147627\pi\)
−0.285235 + 0.958458i \(0.592072\pi\)
\(42\) 11.4866 79.6314i 0.0422006 0.292557i
\(43\) −142.747 51.9557i −0.506250 0.184260i 0.0762532 0.997088i \(-0.475704\pi\)
−0.582503 + 0.812829i \(0.697926\pi\)
\(44\) 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 −0.995957 0.0898293i \(-0.971368\pi\)
0.905170 0.425049i \(-0.139743\pi\)
\(48\) −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 −0.0741756 0.997245i \(-0.523633\pi\)
0.584195 + 0.811613i \(0.301410\pi\)
\(60\) −60.0441 + 53.6703i −0.129194 + 0.115480i
\(61\) −123.808 702.150i −0.259869 1.47379i −0.783259 0.621695i \(-0.786444\pi\)
0.523391 0.852093i \(-0.324667\pi\)
\(62\) 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 0.793227 0.608926i \(-0.208399\pi\)
−0.461932 + 0.886915i \(0.652844\pi\)
\(68\) 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 −0.912653 0.408735i \(-0.865970\pi\)
0.810302 + 0.586013i \(0.199303\pi\)
\(72\) −501.521 + 31.4097i −0.820901 + 0.0514120i
\(73\) −137.653 238.422i −0.220700 0.382263i 0.734321 0.678802i \(-0.237501\pi\)
−0.955021 + 0.296539i \(0.904167\pi\)
\(74\) 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 −0.490930 0.871199i \(-0.663343\pi\)
0.772714 + 0.634754i \(0.218899\pi\)
\(80\) 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 0.368193 0.929749i \(-0.379976\pi\)
0.979560 0.201150i \(-0.0644679\pi\)
\(84\) −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 0.840200 0.542277i \(-0.182438\pi\)
−0.889726 + 0.456496i \(0.849104\pi\)
\(90\) 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 0.360188 0.932880i \(-0.382712\pi\)
−0.323723 + 0.946152i \(0.604935\pi\)
\(98\) 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 0.918070 + 0.396419i \(0.129747\pi\)
−0.727120 + 0.686510i \(0.759142\pi\)
\(102\) 1412.61 1262.66i 1.37127 1.22571i
\(103\) −1160.96 + 422.555i −1.11061 + 0.404228i −0.831217 0.555949i \(-0.812355\pi\)
−0.279392 + 0.960177i \(0.590133\pi\)
\(104\) 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 −0.666232 0.745745i \(-0.732094\pi\)
−0.0310074 + 0.999519i \(0.509872\pi\)
\(114\) 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 0.937464 + 0.348081i \(0.113167\pi\)
−0.167285 + 0.985909i \(0.553500\pi\)
\(128\) 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 −0.998669 0.0515721i \(-0.983577\pi\)
0.956081 + 0.293103i \(0.0946879\pi\)
\(132\) −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 −0.372470 0.928044i \(-0.621489\pi\)
0.849267 + 0.527964i \(0.177045\pi\)
\(138\) −727.206 + 1355.77i −0.448579 + 0.836310i
\(139\) −439.429 + 2492.12i −0.268143 + 1.52071i 0.491791 + 0.870713i \(0.336342\pi\)
−0.759934 + 0.650001i \(0.774769\pi\)
\(140\) 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 0.950929 + 0.309410i \(0.100132\pi\)
0.469837 + 0.882753i \(0.344313\pi\)
\(150\) 1131.82 452.508i 0.616083 0.246314i
\(151\) −1008.56 367.085i −0.543545 0.197834i 0.0556312 0.998451i \(-0.482283\pi\)
−0.599176 + 0.800617i \(0.704505\pi\)
\(152\) 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 0.407204 0.913337i \(-0.366504\pi\)
0.899018 + 0.437912i \(0.144282\pi\)
\(158\) 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 −0.224233 0.974536i \(-0.571988\pi\)
0.454647 + 0.890672i \(0.349766\pi\)
\(168\) 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 0.144644 0.989484i \(-0.453796\pi\)
−0.525225 + 0.850964i \(0.676019\pi\)
\(174\) −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 −0.914805 0.403896i \(-0.867656\pi\)
0.807187 + 0.590296i \(0.200989\pi\)
\(180\) 401.410 + 118.266i 0.166218 + 0.0489722i
\(181\) 840.670 + 1456.08i 0.345230 + 0.597955i 0.985395 0.170282i \(-0.0544677\pi\)
−0.640166 + 0.768237i \(0.721134\pi\)
\(182\) −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 −0.931772 0.363044i \(-0.881737\pi\)
0.195728 + 0.980658i \(0.437293\pi\)
\(192\) 1604.82 50.2049i 0.603219 0.0188710i
\(193\) 326.965 1854.31i 0.121945 0.691587i −0.861130 0.508385i \(-0.830243\pi\)
0.983075 0.183202i \(-0.0586462\pi\)
\(194\) 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 0.689538 0.724249i \(-0.257813\pi\)
−0.971987 + 0.235033i \(0.924480\pi\)
\(198\) −206.631 + 1837.44i −0.0741648 + 0.659499i
\(199\) 1008.11 1746.09i 0.359110 0.621996i −0.628703 0.777646i \(-0.716414\pi\)
0.987812 + 0.155650i \(0.0497471\pi\)
\(200\) −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 −0.456850 0.889544i \(-0.651023\pi\)
0.221820 + 0.975088i \(0.428800\pi\)
\(212\) −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 0.903285 + 0.429042i \(0.141149\pi\)
−0.702069 + 0.712109i \(0.747740\pi\)
\(224\) 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 −0.122381 0.992483i \(-0.539053\pi\)
−0.731705 + 0.681622i \(0.761275\pi\)
\(228\) 1339.67 + 1054.53i 0.389131 + 0.306306i
\(229\) −2032.93 1705.83i −0.586636 0.492246i 0.300483 0.953787i \(-0.402852\pi\)
−0.887119 + 0.461541i \(0.847297\pi\)
\(230\) −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 −0.955173 0.296050i \(-0.904331\pi\)
0.733973 + 0.679179i \(0.237664\pi\)
\(234\) 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 −0.603581 0.797301i \(-0.706260\pi\)
0.839874 0.542781i \(-0.182629\pi\)
\(240\) −1503.93 2426.36i −0.404492 0.652587i
\(241\) 1513.53 1270.01i 0.404545 0.339453i −0.417702 0.908584i \(-0.637165\pi\)
0.822247 + 0.569130i \(0.192720\pi\)
\(242\) −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 0.694266 0.719719i \(-0.255729\pi\)
−0.970428 + 0.241392i \(0.922396\pi\)
\(252\) −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 0.391423 0.920211i \(-0.371983\pi\)
−0.838261 + 0.545270i \(0.816427\pi\)
\(258\) 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 −0.947790 0.318894i \(-0.896689\pi\)
0.781564 0.623826i \(-0.214422\pi\)
\(264\) 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 0.973590 + 0.228303i \(0.0733177\pi\)
−0.836791 + 0.547522i \(0.815571\pi\)
\(278\) 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 0.991525 0.129919i \(-0.0414719\pi\)
0.676041 + 0.736864i \(0.263694\pi\)
\(282\) −398.382 + 2761.79i −0.0841251 + 0.583200i
\(283\) −5226.77 4385.78i −1.09788 0.921229i −0.100598 0.994927i \(-0.532075\pi\)
−0.997281 + 0.0736981i \(0.976520\pi\)
\(284\) 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 0.433999 + 0.900914i \(0.357102\pi\)
−0.715956 + 0.698146i \(0.754009\pi\)
\(294\) −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 −0.997071 0.0764852i \(-0.975630\pi\)
0.564773 + 0.825246i \(0.308964\pi\)
\(308\) 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 0.821337 0.570443i \(-0.193229\pi\)
−0.419153 + 0.907916i \(0.637673\pi\)
\(312\) −3134.41 + 1253.16i −0.568752 + 0.227391i
\(313\) 818.697 + 297.981i 0.147845 + 0.0538112i 0.414883 0.909875i \(-0.363823\pi\)
−0.267038 + 0.963686i \(0.586045\pi\)
\(314\) 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 0.897825 + 0.440352i \(0.145146\pi\)
−0.693070 + 0.720870i \(0.743743\pi\)
\(318\) 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 −0.789612 0.613607i \(-0.789718\pi\)
0.532127 0.846665i \(-0.321393\pi\)
\(332\) −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 0.711554 0.702631i \(-0.247992\pi\)
−0.568397 + 0.822755i \(0.692436\pi\)
\(338\) −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 −0.743376 0.668874i \(-0.766776\pi\)
0.927313 0.374287i \(-0.122112\pi\)
\(348\) −999.418 + 1863.27i −0.153949 + 0.287016i
\(349\) −1732.21 + 1453.49i −0.265681 + 0.222933i −0.765890 0.642972i \(-0.777701\pi\)
0.500208 + 0.865905i \(0.333257\pi\)
\(350\) −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 −0.896928 0.442176i \(-0.854207\pi\)
0.279709 + 0.960085i \(0.409762\pi\)
\(354\) −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 0.879172 0.476504i \(-0.158096\pi\)
−0.852251 + 0.523134i \(0.824763\pi\)
\(360\) −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 −0.269609 0.962970i \(-0.586895\pi\)
−0.825518 + 0.564376i \(0.809117\pi\)
\(368\) 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 −0.504664 0.863316i \(-0.668384\pi\)
0.168333 + 0.985730i \(0.446161\pi\)
\(374\) −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 −0.788035 0.615631i \(-0.788901\pi\)
−0.207950 + 0.978139i \(0.566679\pi\)
\(384\) 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 0.321948 0.946757i \(-0.395662\pi\)
−0.361937 + 0.932202i \(0.617885\pi\)
\(390\) 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 0.692418 0.721496i \(-0.256545\pi\)
−0.971043 + 0.238904i \(0.923212\pi\)
\(398\) −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 −0.758424 0.651761i \(-0.774030\pi\)
0.935601 0.353059i \(-0.114858\pi\)
\(402\) −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 −0.699797 0.714341i \(-0.746726\pi\)
0.901914 0.431917i \(-0.142162\pi\)
\(410\) 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 −0.998444 0.0557553i \(-0.982243\pi\)
−0.228286 0.973594i \(-0.573312\pi\)
\(420\) −307.376 241.952i −0.0357105 0.0281097i
\(421\) 10081.3 + 3669.30i 1.16706 + 0.424776i 0.851615 0.524167i \(-0.175623\pi\)
0.315447 + 0.948943i \(0.397846\pi\)
\(422\) −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 0.994225 0.107317i \(-0.0342258\pi\)
−0.970970 + 0.239200i \(0.923115\pi\)
\(440\) 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 0.831863 0.554981i \(-0.187274\pi\)
0.280510 + 0.959851i \(0.409497\pi\)
\(444\) 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 0.271227 + 0.962516i \(0.412571\pi\)
−0.969176 + 0.246369i \(0.920763\pi\)
\(450\) −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 −0.609675 0.792652i \(-0.708700\pi\)
0.674740 + 0.738055i \(0.264256\pi\)
\(458\) −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 0.0923782 0.995724i \(-0.470553\pi\)
0.996638 + 0.0819309i \(0.0261087\pi\)
\(462\) 816.990 1523.16i 0.0822723 0.153385i
\(463\) −218.864 + 1241.24i −0.0219686 + 0.124590i −0.993820 0.111005i \(-0.964593\pi\)
0.971851 + 0.235595i \(0.0757040\pi\)
\(464\) 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 0.890797 0.454402i \(-0.150147\pi\)
−0.838922 + 0.544251i \(0.816814\pi\)
\(468\) −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 0.816783 + 0.576945i \(0.195755\pi\)
−0.570198 + 0.821507i \(0.693134\pi\)
\(480\) −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 0.801702 0.597723i \(-0.203928\pi\)
0.998349 0.0574416i \(-0.0182943\pi\)
\(492\) −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 0.826874 0.562388i \(-0.190117\pi\)
−0.410259 + 0.911969i \(0.634562\pi\)
\(500\) 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 0.320014 + 0.947413i \(0.396312\pi\)
−0.980491 + 0.196566i \(0.937021\pi\)
\(504\) −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 0.912768 + 0.408478i \(0.133940\pi\)
−0.997429 + 0.0716588i \(0.977171\pi\)
\(510\) 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 0.706701 0.707512i \(-0.250183\pi\)
−0.966074 + 0.258265i \(0.916849\pi\)
\(522\) 13038.3 + 9618.39i 1.09324 + 0.806486i
\(523\) 11712.8 20287.2i 0.979285 1.69617i 0.314283 0.949329i \(-0.398236\pi\)
0.665002 0.746842i \(-0.268431\pi\)
\(524\) 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 −0.746219 0.665701i \(-0.768133\pi\)
0.473533 0.880776i \(-0.342978\pi\)
\(548\) −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 −0.469291 0.883043i \(-0.655491\pi\)
0.999384 0.0351037i \(-0.0111761\pi\)
\(558\) −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 −0.998248 0.0591679i \(-0.981155\pi\)
0.958283 + 0.285821i \(0.0922664\pi\)
\(564\) 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 −0.446569 0.894749i \(-0.647354\pi\)
0.803610 + 0.595156i \(0.202910\pi\)
\(570\) 9497.60 + 15322.9i 0.697914 + 1.12598i
\(571\) 2157.30 12234.6i 0.158109 0.896679i −0.797780 0.602949i \(-0.793992\pi\)
0.955888 0.293730i \(-0.0948967\pi\)
\(572\) −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 −0.983802 0.179259i \(-0.942630\pi\)
0.647144 + 0.762368i \(0.275963\pi\)
\(578\) −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 0.986411 + 0.164298i \(0.0525359\pi\)
−0.870730 + 0.491762i \(0.836353\pi\)
\(588\) −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 −0.881750 0.471717i \(-0.843634\pi\)
−0.372246 + 0.928134i \(0.621412\pi\)
\(600\) 1454.32 + 6966.40i 0.0989540 + 0.474003i
\(601\) 1170.18 + 6636.41i 0.0794219 + 0.450424i 0.998421 + 0.0561655i \(0.0178874\pi\)
−0.919000 + 0.394259i \(0.871001\pi\)
\(602\) −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 0.827384 0.561636i \(-0.189828\pi\)
−0.409430 + 0.912342i \(0.634272\pi\)
\(608\) −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 0.788477 0.615064i \(-0.210870\pi\)
−0.926900 + 0.375309i \(0.877537\pi\)
\(614\) 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 0.878265 + 0.478174i \(0.158701\pi\)
−0.988844 + 0.148952i \(0.952410\pi\)
\(618\) 20454.1 639.882i 1.33137 0.0416502i
\(619\) −10114.5 + 8487.05i −0.656761 + 0.551088i −0.909114 0.416547i \(-0.863240\pi\)
0.252353 + 0.967635i \(0.418796\pi\)
\(620\) 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 0.486721 + 0.873557i \(0.338193\pi\)
−0.999883 + 0.0152658i \(0.995141\pi\)
\(632\) 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 0.999998 0.00197102i \(-0.000627395\pi\)
−0.940365 + 0.340167i \(0.889516\pi\)
\(642\) 11621.9 + 3822.91i 0.714453 + 0.235013i
\(643\) −22952.9 + 8354.19i −1.40774 + 0.512375i −0.930465 0.366380i \(-0.880597\pi\)
−0.477273 + 0.878755i \(0.658375\pi\)
\(644\) 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 0.118132 0.992998i \(-0.462309\pi\)
0.728781 + 0.684747i \(0.240087\pi\)
\(654\) −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 0.573726 0.819047i \(-0.305497\pi\)
−0.0869738 + 0.996211i \(0.527720\pi\)
\(660\) −1606.49 + 642.285i −0.0947463 + 0.0378802i
\(661\) −11054.9 9276.12i −0.650505 0.545839i 0.256719 0.966486i \(-0.417359\pi\)
−0.907224 + 0.420647i \(0.861803\pi\)
\(662\) −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 −0.490346 0.871528i \(-0.663130\pi\)
0.773140 + 0.634236i \(0.218685\pi\)
\(674\) 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 −0.475610 0.879656i \(-0.657773\pi\)
0.783703 + 0.621135i \(0.213328\pi\)
\(678\) 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 0.998697 + 0.0510297i \(0.0162503\pi\)
−0.455156 + 0.890412i \(0.650416\pi\)
\(684\) 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 −0.569772 0.821803i \(-0.692968\pi\)
−0.964715 + 0.263295i \(0.915191\pi\)
\(692\) −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 −0.923268 0.384156i \(-0.874492\pi\)
0.736199 0.676765i \(-0.236619\pi\)
\(710\) 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 −0.846534 0.532335i \(-0.821315\pi\)
0.884282 + 0.466953i \(0.154648\pi\)
\(720\) −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 −0.268766 0.963206i \(-0.586616\pi\)
0.901902 + 0.431941i \(0.142171\pi\)
\(728\) 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 −0.865281 0.501288i \(-0.832860\pi\)
0.984548 0.175113i \(-0.0560290\pi\)
\(734\) −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 −0.519397 0.854533i \(-0.673843\pi\)
0.999746 + 0.0225441i \(0.00717661\pi\)
\(740\) 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 0.519080 0.854726i \(-0.326275\pi\)
−0.751603 + 0.659615i \(0.770719\pi\)
\(744\) 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 −0.878698 0.477378i \(-0.841587\pi\)
−0.366269 + 0.930509i \(0.619365\pi\)
\(752\) 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