Properties

Label 108.4.l.a.11.4
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.75026 - 0.660376i) q^{2} +(2.16188 - 4.72507i) q^{3} +(7.12781 + 3.63240i) q^{4} +(-3.60998 + 9.91833i) q^{5} +(-9.06605 + 11.5675i) q^{6} +(-12.1874 - 2.14897i) q^{7} +(-17.2045 - 14.6971i) q^{8} +(-17.6525 - 20.4301i) q^{9} +O(q^{10})\) \(q+(-2.75026 - 0.660376i) q^{2} +(2.16188 - 4.72507i) q^{3} +(7.12781 + 3.63240i) q^{4} +(-3.60998 + 9.91833i) q^{5} +(-9.06605 + 11.5675i) q^{6} +(-12.1874 - 2.14897i) q^{7} +(-17.2045 - 14.6971i) q^{8} +(-17.6525 - 20.4301i) q^{9} +(16.4782 - 24.8940i) q^{10} +(-29.6282 + 10.7838i) q^{11} +(32.5728 - 25.8265i) q^{12} +(7.47174 - 6.26953i) q^{13} +(32.0993 + 13.9585i) q^{14} +(39.0604 + 38.4996i) q^{15} +(37.6113 + 51.7822i) q^{16} +(-107.041 + 61.8003i) q^{17} +(35.0574 + 67.8452i) q^{18} +(-38.1728 - 22.0391i) q^{19} +(-61.7586 + 57.5831i) q^{20} +(-36.5017 + 52.9405i) q^{21} +(88.6064 - 10.0924i) q^{22} +(0.485947 + 2.75594i) q^{23} +(-106.639 + 49.5193i) q^{24} +(10.4142 + 8.73857i) q^{25} +(-24.6894 + 12.3087i) q^{26} +(-134.696 + 39.2420i) q^{27} +(-79.0635 - 59.5870i) q^{28} +(-115.084 + 137.151i) q^{29} +(-82.0019 - 131.678i) q^{30} +(44.5291 - 7.85169i) q^{31} +(-69.2449 - 167.252i) q^{32} +(-13.0986 + 163.308i) q^{33} +(335.202 - 99.2792i) q^{34} +(65.3104 - 113.121i) q^{35} +(-51.6136 - 209.743i) q^{36} +(-43.4543 - 75.2650i) q^{37} +(90.4308 + 85.8214i) q^{38} +(-13.4710 - 48.8585i) q^{39} +(207.878 - 117.584i) q^{40} +(263.686 + 314.249i) q^{41} +(135.350 - 121.495i) q^{42} +(8.41241 + 23.1129i) q^{43} +(-250.355 - 30.7569i) q^{44} +(266.357 - 101.332i) q^{45} +(0.483479 - 7.90045i) q^{46} +(108.779 - 616.915i) q^{47} +(325.985 - 65.7690i) q^{48} +(-178.400 - 64.9323i) q^{49} +(-22.8710 - 30.9106i) q^{50} +(60.6001 + 639.382i) q^{51} +(76.0306 - 17.5477i) q^{52} -438.155i q^{53} +(396.363 - 18.9754i) q^{54} -332.791i q^{55} +(178.095 + 216.091i) q^{56} +(-186.661 + 132.723i) q^{57} +(407.081 - 301.203i) q^{58} +(-605.683 - 220.451i) q^{59} +(138.569 + 416.301i) q^{60} +(-14.7558 + 83.6840i) q^{61} +(-127.652 - 7.81182i) q^{62} +(171.235 + 286.924i) q^{63} +(79.9923 + 505.713i) q^{64} +(35.2105 + 96.7401i) q^{65} +(143.869 - 440.490i) q^{66} +(-61.6297 - 73.4475i) q^{67} +(-987.453 + 51.6835i) q^{68} +(14.0726 + 3.66189i) q^{69} +(-254.322 + 267.982i) q^{70} +(-383.056 - 663.472i) q^{71} +(3.44140 + 610.931i) q^{72} +(336.232 - 582.371i) q^{73} +(69.8071 + 235.694i) q^{74} +(63.8046 - 30.3161i) q^{75} +(-192.033 - 295.749i) q^{76} +(384.264 - 67.7562i) q^{77} +(4.78361 + 143.269i) q^{78} +(-601.477 + 716.813i) q^{79} +(-649.368 + 186.109i) q^{80} +(-105.776 + 721.285i) q^{81} +(-517.682 - 1038.40i) q^{82} +(1022.53 + 858.003i) q^{83} +(-452.478 + 244.760i) q^{84} +(-226.539 - 1284.77i) q^{85} +(-7.87307 - 69.1217i) q^{86} +(399.253 + 840.284i) q^{87} +(668.229 + 249.918i) q^{88} +(-184.466 - 106.501i) q^{89} +(-799.468 + 102.792i) q^{90} +(-104.534 + 60.3528i) q^{91} +(-6.54696 + 21.4090i) q^{92} +(59.1670 - 227.378i) q^{93} +(-706.565 + 1624.84i) q^{94} +(356.394 - 299.050i) q^{95} +(-939.975 - 34.3914i) q^{96} +(-1238.71 + 450.852i) q^{97} +(447.766 + 296.391i) q^{98} +(743.326 + 414.945i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.75026 0.660376i −0.972362 0.233478i
\(3\) 2.16188 4.72507i 0.416054 0.909340i
\(4\) 7.12781 + 3.63240i 0.890976 + 0.454051i
\(5\) −3.60998 + 9.91833i −0.322886 + 0.887122i 0.666975 + 0.745081i \(0.267589\pi\)
−0.989861 + 0.142042i \(0.954633\pi\)
\(6\) −9.06605 + 11.5675i −0.616866 + 0.787068i
\(7\) −12.1874 2.14897i −0.658057 0.116033i −0.165359 0.986233i \(-0.552878\pi\)
−0.492698 + 0.870200i \(0.663989\pi\)
\(8\) −17.2045 14.6971i −0.760340 0.649525i
\(9\) −17.6525 20.4301i −0.653798 0.756670i
\(10\) 16.4782 24.8940i 0.521086 0.787217i
\(11\) −29.6282 + 10.7838i −0.812112 + 0.295585i −0.714496 0.699639i \(-0.753344\pi\)
−0.0976163 + 0.995224i \(0.531122\pi\)
\(12\) 32.5728 25.8265i 0.783581 0.621290i
\(13\) 7.47174 6.26953i 0.159407 0.133758i −0.559596 0.828766i \(-0.689044\pi\)
0.719002 + 0.695008i \(0.244599\pi\)
\(14\) 32.0993 + 13.9585i 0.612779 + 0.266468i
\(15\) 39.0604 + 38.4996i 0.672357 + 0.662704i
\(16\) 37.6113 + 51.7822i 0.587676 + 0.809096i
\(17\) −107.041 + 61.8003i −1.52714 + 0.881693i −0.527656 + 0.849458i \(0.676929\pi\)
−0.999480 + 0.0322350i \(0.989738\pi\)
\(18\) 35.0574 + 67.8452i 0.459062 + 0.888404i
\(19\) −38.1728 22.0391i −0.460918 0.266111i 0.251512 0.967854i \(-0.419072\pi\)
−0.712430 + 0.701743i \(0.752405\pi\)
\(20\) −61.7586 + 57.5831i −0.690482 + 0.643798i
\(21\) −36.5017 + 52.9405i −0.379301 + 0.550122i
\(22\) 88.6064 10.0924i 0.858680 0.0978049i
\(23\) 0.485947 + 2.75594i 0.00440552 + 0.0249849i 0.986931 0.161142i \(-0.0515176\pi\)
−0.982526 + 0.186127i \(0.940407\pi\)
\(24\) −106.639 + 49.5193i −0.906982 + 0.421170i
\(25\) 10.4142 + 8.73857i 0.0833138 + 0.0699085i
\(26\) −24.6894 + 12.3087i −0.186231 + 0.0928434i
\(27\) −134.696 + 39.2420i −0.960085 + 0.279708i
\(28\) −79.0635 59.5870i −0.533628 0.402174i
\(29\) −115.084 + 137.151i −0.736914 + 0.878220i −0.996156 0.0875921i \(-0.972083\pi\)
0.259242 + 0.965812i \(0.416527\pi\)
\(30\) −82.0019 131.678i −0.499048 0.801369i
\(31\) 44.5291 7.85169i 0.257989 0.0454905i −0.0431574 0.999068i \(-0.513742\pi\)
0.301147 + 0.953578i \(0.402631\pi\)
\(32\) −69.2449 167.252i −0.382528 0.923944i
\(33\) −13.0986 + 163.308i −0.0690960 + 0.861465i
\(34\) 335.202 99.2792i 1.69079 0.500772i
\(35\) 65.3104 113.121i 0.315413 0.546312i
\(36\) −51.6136 209.743i −0.238952 0.971031i
\(37\) −43.4543 75.2650i −0.193077 0.334419i 0.753192 0.657801i \(-0.228513\pi\)
−0.946268 + 0.323383i \(0.895180\pi\)
\(38\) 90.4308 + 85.8214i 0.386048 + 0.366370i
\(39\) −13.4710 48.8585i −0.0553097 0.200606i
\(40\) 207.878 117.584i 0.821711 0.464792i
\(41\) 263.686 + 314.249i 1.00441 + 1.19701i 0.980343 + 0.197301i \(0.0632175\pi\)
0.0240683 + 0.999710i \(0.492338\pi\)
\(42\) 135.350 121.495i 0.497260 0.446359i
\(43\) 8.41241 + 23.1129i 0.0298344 + 0.0819694i 0.953716 0.300710i \(-0.0972236\pi\)
−0.923881 + 0.382679i \(0.875001\pi\)
\(44\) −250.355 30.7569i −0.857783 0.105381i
\(45\) 266.357 101.332i 0.882361 0.335680i
\(46\) 0.483479 7.90045i 0.00154968 0.0253230i
\(47\) 108.779 616.915i 0.337596 1.91460i −0.0623310 0.998056i \(-0.519853\pi\)
0.399927 0.916547i \(-0.369035\pi\)
\(48\) 325.985 65.7690i 0.980249 0.197769i
\(49\) −178.400 64.9323i −0.520117 0.189307i
\(50\) −22.8710 30.9106i −0.0646890 0.0874284i
\(51\) 60.6001 + 639.382i 0.166386 + 1.75552i
\(52\) 76.0306 17.5477i 0.202761 0.0467966i
\(53\) 438.155i 1.13557i −0.823177 0.567785i \(-0.807801\pi\)
0.823177 0.567785i \(-0.192199\pi\)
\(54\) 396.363 18.9754i 0.998856 0.0478190i
\(55\) 332.791i 0.815883i
\(56\) 178.095 + 216.091i 0.424981 + 0.515649i
\(57\) −186.661 + 132.723i −0.433752 + 0.308414i
\(58\) 407.081 301.203i 0.921593 0.681895i
\(59\) −605.683 220.451i −1.33650 0.486444i −0.427788 0.903879i \(-0.640707\pi\)
−0.908707 + 0.417435i \(0.862929\pi\)
\(60\) 138.569 + 416.301i 0.298153 + 0.895738i
\(61\) −14.7558 + 83.6840i −0.0309718 + 0.175650i −0.996370 0.0851313i \(-0.972869\pi\)
0.965398 + 0.260781i \(0.0839801\pi\)
\(62\) −127.652 7.81182i −0.261480 0.0160016i
\(63\) 171.235 + 286.924i 0.342438 + 0.573794i
\(64\) 79.9923 + 505.713i 0.156235 + 0.987720i
\(65\) 35.2105 + 96.7401i 0.0671896 + 0.184602i
\(66\) 143.869 440.490i 0.268320 0.821524i
\(67\) −61.6297 73.4475i −0.112377 0.133926i 0.706923 0.707290i \(-0.250083\pi\)
−0.819301 + 0.573364i \(0.805638\pi\)
\(68\) −987.453 + 51.6835i −1.76098 + 0.0921699i
\(69\) 14.0726 + 3.66189i 0.0245527 + 0.00638898i
\(70\) −254.322 + 267.982i −0.434248 + 0.457571i
\(71\) −383.056 663.472i −0.640287 1.10901i −0.985369 0.170436i \(-0.945482\pi\)
0.345082 0.938573i \(1.61215\pi\)
\(72\) 3.44140 + 610.931i 0.00563296 + 0.999984i
\(73\) 336.232 582.371i 0.539082 0.933717i −0.459872 0.887985i \(-0.652105\pi\)
0.998954 0.0457316i \(-0.0145619\pi\)
\(74\) 69.8071 + 235.694i 0.109661 + 0.370255i
\(75\) 63.8046 30.3161i 0.0982337 0.0466748i
\(76\) −192.033 295.749i −0.289839 0.446378i
\(77\) 384.264 67.7562i 0.568714 0.100280i
\(78\) 4.78361 + 143.269i 0.00694407 + 0.207975i
\(79\) −601.477 + 716.813i −0.856601 + 1.02086i 0.142915 + 0.989735i \(0.454353\pi\)
−0.999516 + 0.0311222i \(0.990092\pi\)
\(80\) −649.368 + 186.109i −0.907520 + 0.260095i
\(81\) −105.776 + 721.285i −0.145098 + 0.989417i
\(82\) −517.682 1038.40i −0.697176 1.39844i
\(83\) 1022.53 + 858.003i 1.35225 + 1.13468i 0.978292 + 0.207232i \(0.0664455\pi\)
0.373962 + 0.927444i \(0.377999\pi\)
\(84\) −452.478 + 244.760i −0.587731 + 0.317923i
\(85\) −226.539 1284.77i −0.289078 1.63944i
\(86\) −7.87307 69.1217i −0.00987180 0.0866696i
\(87\) 399.253 + 840.284i 0.492004 + 1.03549i
\(88\) 668.229 + 249.918i 0.809471 + 0.302742i
\(89\) −184.466 106.501i −0.219700 0.126844i 0.386111 0.922452i \(-0.373818\pi\)
−0.605812 + 0.795608i \(0.707151\pi\)
\(90\) −799.468 + 102.792i −0.936348 + 0.120391i
\(91\) −104.534 + 60.3528i −0.120419 + 0.0695241i
\(92\) −6.54696 + 21.4090i −0.00741921 + 0.0242613i
\(93\) 59.1670 227.378i 0.0659713 0.253526i
\(94\) −706.565 + 1624.84i −0.775283 + 1.78287i
\(95\) 356.394 299.050i 0.384897 0.322967i
\(96\) −939.975 34.3914i −0.999331 0.0365631i
\(97\) −1238.71 + 450.852i −1.29661 + 0.471929i −0.895892 0.444272i \(-0.853463\pi\)
−0.400721 + 0.916200i \(0.631240\pi\)
\(98\) 447.766 + 296.391i 0.461543 + 0.305511i
\(99\) 743.326 + 414.945i 0.754617 + 0.421248i
\(100\) 42.4885 + 100.115i 0.0424885 + 0.100115i
\(101\) 1077.57 + 190.005i 1.06161 + 0.187190i 0.677070 0.735919i \(-0.263249\pi\)
0.384539 + 0.923109i \(0.374361\pi\)
\(102\) 255.567 1798.48i 0.248087 1.74585i
\(103\) −141.512 + 388.801i −0.135375 + 0.371939i −0.988794 0.149286i \(-0.952303\pi\)
0.853419 + 0.521225i \(0.174525\pi\)
\(104\) −220.692 1.94825i −0.208083 0.00183693i
\(105\) −393.311 553.150i −0.365554 0.514113i
\(106\) −289.347 + 1205.04i −0.265131 + 1.10418i
\(107\) 917.119 0.828610 0.414305 0.910138i \(-0.364025\pi\)
0.414305 + 0.910138i \(0.364025\pi\)
\(108\) −1102.63 209.562i −0.982414 0.186714i
\(109\) 1726.33 1.51699 0.758496 0.651677i \(-0.225934\pi\)
0.758496 + 0.651677i \(0.225934\pi\)
\(110\) −219.767 + 915.261i −0.190491 + 0.793334i
\(111\) −449.575 + 42.6103i −0.384430 + 0.0364360i
\(112\) −347.105 711.915i −0.292843 0.600622i
\(113\) 259.048 711.729i 0.215657 0.592512i −0.783942 0.620834i \(-0.786794\pi\)
0.999599 + 0.0283219i \(0.00901635\pi\)
\(114\) 601.013 241.756i 0.493772 0.198619i
\(115\) −29.0886 5.12910i −0.0235872 0.00415906i
\(116\) −1318.48 + 559.559i −1.05533 + 0.447877i
\(117\) −259.982 41.9751i −0.205430 0.0331675i
\(118\) 1520.20 + 1006.27i 1.18598 + 0.785043i
\(119\) 1437.36 523.157i 1.10725 0.403006i
\(120\) −106.185 1236.44i −0.0807775 0.940594i
\(121\) −258.065 + 216.542i −0.193888 + 0.162692i
\(122\) 95.8450 220.408i 0.0711262 0.163564i
\(123\) 2054.91 566.566i 1.50638 0.415330i
\(124\) 345.916 + 105.783i 0.250517 + 0.0766093i
\(125\) −1266.86 + 731.425i −0.906495 + 0.523365i
\(126\) −281.462 902.194i −0.199005 0.637887i
\(127\) −1666.96 962.421i −1.16472 0.672449i −0.212286 0.977208i \(-0.568091\pi\)
−0.952430 + 0.304758i \(0.901424\pi\)
\(128\) 113.961 1443.66i 0.0786941 0.996899i
\(129\) 127.397 + 10.2182i 0.0869508 + 0.00697410i
\(130\) −32.9531 289.312i −0.0222321 0.195187i
\(131\) −4.83962 27.4469i −0.00322779 0.0183057i 0.983151 0.182794i \(-0.0585140\pi\)
−0.986379 + 0.164488i \(0.947403\pi\)
\(132\) −686.566 + 1116.45i −0.452712 + 0.736172i
\(133\) 417.866 + 350.631i 0.272433 + 0.228598i
\(134\) 120.995 + 242.698i 0.0780025 + 0.156462i
\(135\) 97.0350 1477.62i 0.0618625 0.942027i
\(136\) 2749.88 + 509.947i 1.73383 + 0.321527i
\(137\) 802.817 956.759i 0.500651 0.596653i −0.455242 0.890368i \(-0.650447\pi\)
0.955893 + 0.293715i \(0.0948916\pi\)
\(138\) −36.2849 19.3643i −0.0223825 0.0119449i
\(139\) −3050.07 + 537.809i −1.86117 + 0.328175i −0.987411 0.158176i \(-0.949439\pi\)
−0.873763 + 0.486352i \(0.838327\pi\)
\(140\) 876.421 569.070i 0.529079 0.343537i
\(141\) −2679.80 1847.68i −1.60057 1.10357i
\(142\) 615.360 + 2077.68i 0.363661 + 1.22785i
\(143\) −153.765 + 266.329i −0.0899193 + 0.155745i
\(144\) 393.979 1682.49i 0.227997 0.973662i
\(145\) −944.864 1636.55i −0.541149 0.937298i
\(146\) −1309.31 + 1379.63i −0.742185 + 0.782047i
\(147\) −692.489 + 702.576i −0.388541 + 0.394201i
\(148\) −36.3408 694.318i −0.0201837 0.385625i
\(149\) 1041.49 + 1241.20i 0.572632 + 0.682436i 0.972169 0.234281i \(-0.0752735\pi\)
−0.399537 + 0.916717i \(0.630829\pi\)
\(150\) −195.499 + 41.2421i −0.106416 + 0.0224494i
\(151\) −36.5292 100.363i −0.0196868 0.0540889i 0.929460 0.368923i \(-0.120273\pi\)
−0.949147 + 0.314834i \(0.898051\pi\)
\(152\) 332.835 + 940.200i 0.177609 + 0.501712i
\(153\) 3152.14 + 1095.93i 1.66559 + 0.579089i
\(154\) −1101.57 67.4121i −0.576409 0.0352742i
\(155\) −82.8735 + 469.999i −0.0429456 + 0.243556i
\(156\) 81.4553 397.186i 0.0418054 0.203848i
\(157\) 3547.60 + 1291.22i 1.80337 + 0.656373i 0.997973 + 0.0636388i \(0.0202705\pi\)
0.805398 + 0.592735i \(0.201952\pi\)
\(158\) 2127.58 1574.22i 1.07127 0.792645i
\(159\) −2070.31 947.238i −1.03262 0.472458i
\(160\) 1908.83 83.0193i 0.943164 0.0410203i
\(161\) 34.6320i 0.0169527i
\(162\) 767.231 1913.87i 0.372095 0.928195i
\(163\) 699.619i 0.336186i 0.985771 + 0.168093i \(0.0537610\pi\)
−0.985771 + 0.168093i \(0.946239\pi\)
\(164\) 738.025 + 3197.72i 0.351403 + 1.52256i
\(165\) −1572.46 719.456i −0.741915 0.339452i
\(166\) −2245.61 3034.98i −1.04996 1.41904i
\(167\) −2253.49 820.205i −1.04420 0.380056i −0.237726 0.971332i \(-0.576402\pi\)
−0.806469 + 0.591276i \(0.798624\pi\)
\(168\) 1406.06 374.348i 0.645716 0.171914i
\(169\) −364.985 + 2069.93i −0.166129 + 0.942164i
\(170\) −225.389 + 3683.04i −0.101686 + 1.66163i
\(171\) 223.586 + 1168.92i 0.0999888 + 0.522745i
\(172\) −23.9934 + 195.302i −0.0106365 + 0.0865791i
\(173\) 381.379 + 1047.83i 0.167605 + 0.460491i 0.994851 0.101349i \(-0.0323158\pi\)
−0.827246 + 0.561840i \(0.810094\pi\)
\(174\) −543.143 2574.65i −0.236641 1.12175i
\(175\) −108.143 128.880i −0.0467135 0.0556710i
\(176\) −1672.76 1128.62i −0.716416 0.483369i
\(177\) −2351.06 + 2385.31i −0.998398 + 1.01294i
\(178\) 436.997 + 414.723i 0.184013 + 0.174634i
\(179\) 257.658 + 446.276i 0.107588 + 0.186348i 0.914793 0.403924i \(-0.132354\pi\)
−0.807205 + 0.590272i \(0.799021\pi\)
\(180\) 2266.62 + 245.246i 0.938578 + 0.101553i
\(181\) −364.145 + 630.717i −0.149540 + 0.259010i −0.931057 0.364873i \(-0.881112\pi\)
0.781518 + 0.623883i \(0.214446\pi\)
\(182\) 327.351 96.9537i 0.133323 0.0394873i
\(183\) 363.513 + 250.637i 0.146839 + 0.101244i
\(184\) 32.1438 54.5567i 0.0128786 0.0218586i
\(185\) 903.372 159.289i 0.359012 0.0633035i
\(186\) −312.879 + 586.274i −0.123341 + 0.231117i
\(187\) 2505.00 2985.34i 0.979592 1.16743i
\(188\) 3016.24 4002.12i 1.17012 1.55258i
\(189\) 1725.93 188.800i 0.664247 0.0726624i
\(190\) −1177.66 + 587.109i −0.449665 + 0.224176i
\(191\) 15.5537 + 13.0511i 0.00589229 + 0.00494422i 0.645729 0.763567i \(-0.276554\pi\)
−0.639837 + 0.768511i \(0.720998\pi\)
\(192\) 2562.46 + 715.322i 0.963175 + 0.268875i
\(193\) 60.6614 + 344.028i 0.0226244 + 0.128309i 0.994028 0.109125i \(-0.0348048\pi\)
−0.971404 + 0.237434i \(0.923694\pi\)
\(194\) 3704.49 421.947i 1.37096 0.156155i
\(195\) 533.224 + 42.7686i 0.195820 + 0.0157063i
\(196\) −1035.74 1110.85i −0.377457 0.404827i
\(197\) −3321.30 1917.56i −1.20118 0.693504i −0.240365 0.970683i \(-0.577267\pi\)
−0.960818 + 0.277179i \(0.910601\pi\)
\(198\) −1770.32 1632.08i −0.635409 0.585792i
\(199\) 2571.17 1484.47i 0.915907 0.528799i 0.0335802 0.999436i \(-0.489309\pi\)
0.882327 + 0.470637i \(0.155976\pi\)
\(200\) −50.7405 303.402i −0.0179395 0.107269i
\(201\) −480.281 + 132.420i −0.168539 + 0.0464686i
\(202\) −2838.12 1234.17i −0.988563 0.429879i
\(203\) 1697.31 1424.21i 0.586835 0.492413i
\(204\) −1890.55 + 4777.52i −0.648848 + 1.63967i
\(205\) −4068.73 + 1480.90i −1.38621 + 0.504538i
\(206\) 645.949 975.852i 0.218473 0.330052i
\(207\) 47.7259 58.5773i 0.0160250 0.0196686i
\(208\) 605.672 + 151.098i 0.201903 + 0.0503689i
\(209\) 1368.66 + 241.331i 0.452975 + 0.0798718i
\(210\) 716.418 + 1781.04i 0.235417 + 0.585253i
\(211\) −1358.78 + 3733.21i −0.443327 + 1.21803i 0.493964 + 0.869482i \(0.335547\pi\)
−0.937291 + 0.348548i \(0.886675\pi\)
\(212\) 1591.55 3123.08i 0.515606 1.01176i
\(213\) −3963.07 + 375.616i −1.27486 + 0.120830i
\(214\) −2522.31 605.643i −0.805708 0.193462i
\(215\) −259.610 −0.0823500
\(216\) 2894.13 + 1304.50i 0.911669 + 0.410925i
\(217\) −559.567 −0.175050
\(218\) −4747.84 1140.02i −1.47507 0.354185i
\(219\) −2024.85 2847.73i −0.624779 0.878685i
\(220\) 1208.83 2372.07i 0.370452 0.726932i
\(221\) −412.325 + 1132.85i −0.125502 + 0.344815i
\(222\) 1264.59 + 179.699i 0.382313 + 0.0543271i
\(223\) −1710.35 301.580i −0.513602 0.0905619i −0.0891606 0.996017i \(-0.528418\pi\)
−0.424441 + 0.905455i \(0.639530\pi\)
\(224\) 484.497 + 2187.17i 0.144517 + 0.652394i
\(225\) −5.30774 367.021i −0.00157266 0.108747i
\(226\) −1182.46 + 1786.37i −0.348035 + 0.525785i
\(227\) −1700.34 + 618.875i −0.497162 + 0.180952i −0.578417 0.815741i \(-0.696329\pi\)
0.0812549 + 0.996693i \(0.474107\pi\)
\(228\) −1812.59 + 267.996i −0.526498 + 0.0778442i
\(229\) −1461.01 + 1225.93i −0.421599 + 0.353763i −0.828771 0.559588i \(-0.810959\pi\)
0.407172 + 0.913351i \(0.366515\pi\)
\(230\) 76.6139 + 33.3158i 0.0219642 + 0.00955120i
\(231\) 510.582 1962.16i 0.145428 0.558876i
\(232\) 3995.69 668.234i 1.13073 0.189102i
\(233\) −4666.06 + 2693.95i −1.31195 + 0.757453i −0.982418 0.186692i \(-0.940223\pi\)
−0.329529 + 0.944146i \(0.606890\pi\)
\(234\) 687.298 + 287.128i 0.192009 + 0.0802143i
\(235\) 5726.08 + 3305.95i 1.58948 + 0.917688i
\(236\) −3516.43 3771.42i −0.969915 1.04025i
\(237\) 2086.67 + 4391.68i 0.571914 + 1.20367i
\(238\) −4298.59 + 489.616i −1.17074 + 0.133349i
\(239\) 157.097 + 890.943i 0.0425179 + 0.241131i 0.998659 0.0517764i \(-0.0164883\pi\)
−0.956141 + 0.292907i \(0.905377\pi\)
\(240\) −524.481 + 3470.65i −0.141063 + 0.933457i
\(241\) −3878.13 3254.14i −1.03657 0.869783i −0.0449488 0.998989i \(-0.514312\pi\)
−0.991618 + 0.129207i \(0.958757\pi\)
\(242\) 852.744 425.127i 0.226514 0.112926i
\(243\) 3179.45 + 2059.13i 0.839348 + 0.543594i
\(244\) −409.150 + 542.885i −0.107349 + 0.142437i
\(245\) 1288.04 1535.03i 0.335877 0.400283i
\(246\) −6025.66 + 201.191i −1.56172 + 0.0521441i
\(247\) −423.392 + 74.6554i −0.109068 + 0.0192316i
\(248\) −881.500 519.363i −0.225707 0.132982i
\(249\) 6264.71 2976.62i 1.59442 0.757572i
\(250\) 3967.22 1175.00i 1.00364 0.297254i
\(251\) −3061.38 + 5302.46i −0.769851 + 1.33342i 0.167793 + 0.985822i \(0.446336\pi\)
−0.937644 + 0.347598i \(0.886997\pi\)
\(252\) 178.305 + 2667.13i 0.0445720 + 0.666721i
\(253\) −44.1172 76.4132i −0.0109629 0.0189884i
\(254\) 3949.01 + 3747.72i 0.975524 + 0.925800i
\(255\) −6560.37 1707.10i −1.61108 0.419227i
\(256\) −1266.78 + 3895.19i −0.309273 + 0.950973i
\(257\) 1396.81 + 1664.66i 0.339030 + 0.404041i 0.908441 0.418012i \(-0.137273\pi\)
−0.569411 + 0.822053i \(0.692829\pi\)
\(258\) −343.626 112.232i −0.0829194 0.0270825i
\(259\) 367.852 + 1010.67i 0.0882518 + 0.242470i
\(260\) −100.425 + 817.443i −0.0239543 + 0.194983i
\(261\) 4833.53 69.9010i 1.14632 0.0165776i
\(262\) −4.81505 + 78.6819i −0.00113540 + 0.0185534i
\(263\) −348.226 + 1974.89i −0.0816447 + 0.463030i 0.916386 + 0.400297i \(0.131093\pi\)
−0.998030 + 0.0627334i \(0.980018\pi\)
\(264\) 2625.51 2617.14i 0.612080 0.610127i
\(265\) 4345.76 + 1581.73i 1.00739 + 0.366660i
\(266\) −917.689 1240.27i −0.211530 0.285887i
\(267\) −902.020 + 641.370i −0.206752 + 0.147008i
\(268\) −172.494 747.384i −0.0393162 0.170350i
\(269\) 6193.20i 1.40374i −0.712306 0.701869i \(-0.752349\pi\)
0.712306 0.701869i \(-0.247651\pi\)
\(270\) −1242.66 + 3999.76i −0.280095 + 0.901548i
\(271\) 3416.69i 0.765865i −0.923776 0.382932i \(-0.874914\pi\)
0.923776 0.382932i \(-0.125086\pi\)
\(272\) −7226.11 3218.44i −1.61084 0.717451i
\(273\) 59.1806 + 624.406i 0.0131201 + 0.138428i
\(274\) −2839.77 + 2101.17i −0.626120 + 0.463272i
\(275\) −402.789 146.603i −0.0883240 0.0321473i
\(276\) 87.0051 + 77.2185i 0.0189750 + 0.0168406i
\(277\) −241.349 + 1368.76i −0.0523510 + 0.296897i −0.999730 0.0232153i \(-0.992610\pi\)
0.947379 + 0.320113i \(0.103721\pi\)
\(278\) 8743.62 + 535.078i 1.88636 + 0.115438i
\(279\) −946.463 771.132i −0.203094 0.165471i
\(280\) −2786.18 + 986.321i −0.594665 + 0.210514i
\(281\) −1324.39 3638.73i −0.281162 0.772485i −0.997225 0.0744497i \(-0.976280\pi\)
0.716063 0.698035i \(-0.245942\pi\)
\(282\) 6149.96 + 6851.28i 1.29867 + 1.44676i
\(283\) 2956.72 + 3523.68i 0.621056 + 0.740145i 0.981252 0.192731i \(-0.0617346\pi\)
−0.360196 + 0.932877i \(0.617290\pi\)
\(284\) −320.349 6120.51i −0.0669339 1.27882i
\(285\) −642.549 2330.49i −0.133549 0.484374i
\(286\) 598.770 630.929i 0.123797 0.130446i
\(287\) −2538.34 4396.53i −0.522067 0.904247i
\(288\) −2194.62 + 4367.10i −0.449024 + 0.893519i
\(289\) 5182.06 8975.59i 1.05476 1.82691i
\(290\) 1517.88 + 5124.90i 0.307355 + 1.03774i
\(291\) −547.629 + 6827.66i −0.110318 + 1.37541i
\(292\) 4512.00 2929.70i 0.904263 0.587149i
\(293\) −2181.61 + 384.676i −0.434986 + 0.0766998i −0.386854 0.922141i \(-0.626438\pi\)
−0.0481326 + 0.998841i \(0.515327\pi\)
\(294\) 2368.49 1474.96i 0.469840 0.292590i
\(295\) 4373.00 5211.54i 0.863072 1.02857i
\(296\) −358.564 + 1933.55i −0.0704092 + 0.379680i
\(297\) 3567.63 2615.20i 0.697019 0.510941i
\(298\) −2044.70 4101.39i −0.397472 0.797272i
\(299\) 20.9093 + 17.5450i 0.00404421 + 0.00339349i
\(300\) 564.908 + 15.6766i 0.108717 + 0.00301696i
\(301\) −52.8565 299.764i −0.0101216 0.0574024i
\(302\) 34.1872 + 300.147i 0.00651408 + 0.0571904i
\(303\) 3227.37 4680.83i 0.611906 0.887482i
\(304\) −294.497 2805.59i −0.0555610 0.529314i
\(305\) −776.738 448.450i −0.145823 0.0841907i
\(306\) −7945.45 5095.68i −1.48435 0.951963i
\(307\) 4676.07 2699.73i 0.869308 0.501895i 0.00218965 0.999998i \(-0.499303\pi\)
0.867118 + 0.498103i \(0.165970\pi\)
\(308\) 2985.08 + 912.851i 0.552243 + 0.168878i
\(309\) 1531.18 + 1509.20i 0.281896 + 0.277849i
\(310\) 538.299 1237.89i 0.0986237 0.226798i
\(311\) −6325.60 + 5307.81i −1.15335 + 0.967776i −0.999793 0.0203632i \(-0.993518\pi\)
−0.153558 + 0.988140i \(0.549073\pi\)
\(312\) −486.315 + 1038.57i −0.0882441 + 0.188454i
\(313\) 596.536 217.121i 0.107726 0.0392090i −0.287595 0.957752i \(-0.592856\pi\)
0.395321 + 0.918543i \(0.370633\pi\)
\(314\) −8904.11 5893.93i −1.60028 1.05928i
\(315\) −3463.96 + 662.574i −0.619594 + 0.118514i
\(316\) −6890.97 + 2924.49i −1.22673 + 0.520619i
\(317\) −657.646 115.961i −0.116521 0.0205458i 0.115084 0.993356i \(-0.463286\pi\)
−0.231604 + 0.972810i \(0.574398\pi\)
\(318\) 5068.35 + 3972.33i 0.893770 + 0.700494i
\(319\) 1930.71 5304.59i 0.338869 0.931034i
\(320\) −5304.59 1032.22i −0.926675 0.180322i
\(321\) 1982.70 4333.45i 0.344747 0.753488i
\(322\) −22.8702 + 95.2469i −0.00395809 + 0.0164842i
\(323\) 5448.09 0.938513
\(324\) −3373.95 + 4756.96i −0.578524 + 0.815665i
\(325\) 132.599 0.0226316
\(326\) 462.011 1924.13i 0.0784922 0.326895i
\(327\) 3732.12 8157.01i 0.631151 1.37946i
\(328\) 81.9400 9281.92i 0.0137938 1.56253i
\(329\) −2651.46 + 7284.83i −0.444315 + 1.22075i
\(330\) 3849.56 + 3017.10i 0.642156 + 0.503291i
\(331\) −4026.67 710.010i −0.668658 0.117902i −0.170993 0.985272i \(-0.554698\pi\)
−0.497664 + 0.867370i \(0.665809\pi\)
\(332\) 4171.77 + 9829.92i 0.689626 + 1.62496i
\(333\) −770.592 + 2216.39i −0.126811 + 0.364737i
\(334\) 5656.04 + 3743.93i 0.926601 + 0.613349i
\(335\) 950.958 346.120i 0.155094 0.0564495i
\(336\) −4114.25 + 101.021i −0.668008 + 0.0164022i
\(337\) −1242.80 + 1042.83i −0.200889 + 0.168566i −0.737682 0.675148i \(-0.764080\pi\)
0.536794 + 0.843714i \(0.319635\pi\)
\(338\) 2370.74 5451.82i 0.381512 0.877337i
\(339\) −2802.94 2762.70i −0.449070 0.442622i
\(340\) 3052.07 9980.47i 0.486829 1.59196i
\(341\) −1234.65 + 712.824i −0.196070 + 0.113201i
\(342\) 157.005 3362.47i 0.0248242 0.531643i
\(343\) 5710.77 + 3297.11i 0.898987 + 0.519030i
\(344\) 194.960 521.285i 0.0305569 0.0817029i
\(345\) −87.1215 + 126.357i −0.0135955 + 0.0197184i
\(346\) −356.928 3133.65i −0.0554582 0.486897i
\(347\) 1075.16 + 6097.53i 0.166333 + 0.943321i 0.947679 + 0.319224i \(0.103422\pi\)
−0.781346 + 0.624097i \(0.785467\pi\)
\(348\) −206.455 + 7439.63i −0.0318022 + 1.14599i
\(349\) 7348.98 + 6166.52i 1.12717 + 0.945806i 0.998944 0.0459388i \(-0.0146279\pi\)
0.128224 + 0.991745i \(0.459072\pi\)
\(350\) 212.312 + 425.869i 0.0324245 + 0.0650390i
\(351\) −760.386 + 1137.69i −0.115631 + 0.173007i
\(352\) 3855.21 + 4208.64i 0.583759 + 0.637277i
\(353\) 2723.38 3245.60i 0.410626 0.489365i −0.520604 0.853799i \(-0.674293\pi\)
0.931229 + 0.364434i \(0.118737\pi\)
\(354\) 8041.21 5007.62i 1.20730 0.751841i
\(355\) 7963.36 1404.15i 1.19057 0.209929i
\(356\) −927.981 1429.18i −0.138154 0.212770i
\(357\) 635.454 7922.63i 0.0942067 1.17454i
\(358\) −413.914 1397.52i −0.0611063 0.206317i
\(359\) 2781.51 4817.72i 0.408921 0.708271i −0.585849 0.810421i \(-0.699239\pi\)
0.994769 + 0.102149i \(0.0325720\pi\)
\(360\) −6071.83 2171.31i −0.888927 0.317884i
\(361\) −2458.06 4257.48i −0.358370 0.620715i
\(362\) 1418.00 1494.16i 0.205880 0.216937i
\(363\) 465.271 + 1687.51i 0.0672738 + 0.243999i
\(364\) −964.324 + 50.4730i −0.138858 + 0.00726786i
\(365\) 4562.35 + 5437.20i 0.654259 + 0.779716i
\(366\) −834.238 929.371i −0.119143 0.132729i
\(367\) 1237.38 + 3399.66i 0.175996 + 0.483545i 0.996055 0.0887335i \(-0.0282819\pi\)
−0.820059 + 0.572278i \(0.806060\pi\)
\(368\) −124.432 + 128.818i −0.0176262 + 0.0182475i
\(369\) 1765.40 10934.4i 0.249060 1.54261i
\(370\) −2589.69 158.480i −0.363870 0.0222675i
\(371\) −941.580 + 5339.96i −0.131764 + 0.747270i
\(372\) 1247.66 1405.79i 0.173893 0.195932i
\(373\) 6776.39 + 2466.40i 0.940665 + 0.342374i 0.766428 0.642330i \(-0.222032\pi\)
0.174236 + 0.984704i \(0.444254\pi\)
\(374\) −8860.83 + 6556.21i −1.22509 + 0.906453i
\(375\) 717.220 + 7567.28i 0.0987655 + 1.04206i
\(376\) −10938.3 + 9015.01i −1.50027 + 1.23647i
\(377\) 1746.28i 0.238563i
\(378\) −4871.41 620.511i −0.662853 0.0844329i
\(379\) 9407.63i 1.27503i 0.770437 + 0.637517i \(0.220038\pi\)
−0.770437 + 0.637517i \(0.779962\pi\)
\(380\) 3626.57 837.003i 0.489577 0.112993i
\(381\) −8151.28 + 5795.87i −1.09607 + 0.779347i
\(382\) −34.1581 46.1652i −0.00457507 0.00618329i
\(383\) −5653.27 2057.62i −0.754226 0.274516i −0.0638429 0.997960i \(-0.520336\pi\)
−0.690383 + 0.723444i \(0.742558\pi\)
\(384\) −6575.04 3659.50i −0.873779 0.486324i
\(385\) −715.158 + 4055.86i −0.0946696 + 0.536898i
\(386\) 60.3534 986.224i 0.00795831 0.130045i
\(387\) 323.698 579.868i 0.0425181 0.0761662i
\(388\) −10466.9 1285.89i −1.36953 0.168251i
\(389\) −3374.57 9271.56i −0.439840 1.20845i −0.939597 0.342284i \(-0.888800\pi\)
0.499757 0.866166i \(-0.333423\pi\)
\(390\) −1438.26 469.753i −0.186741 0.0609920i
\(391\) −222.334 264.968i −0.0287569 0.0342711i
\(392\) 2114.98 + 3739.09i 0.272506 + 0.481766i
\(393\) −140.151 36.4693i −0.0179890 0.00468100i
\(394\) 7868.13 + 7467.08i 1.00607 + 0.954787i
\(395\) −4938.27 8553.33i −0.629041 1.08953i
\(396\) 3791.04 + 5657.71i 0.481078 + 0.717956i
\(397\) 324.769 562.517i 0.0410572 0.0711131i −0.844767 0.535135i \(-0.820261\pi\)
0.885824 + 0.464022i \(0.153594\pi\)
\(398\) −8051.69 + 2384.72i −1.01406 + 0.300340i
\(399\) 2560.13 1216.42i 0.321220 0.152625i
\(400\) −60.8097 + 867.940i −0.00760122 + 0.108492i
\(401\) −5637.05 + 993.965i −0.701998 + 0.123781i −0.513243 0.858243i \(-0.671556\pi\)
−0.188754 + 0.982024i \(0.560445\pi\)
\(402\) 1408.34 47.0231i 0.174731 0.00583408i
\(403\) 283.484 337.843i 0.0350405 0.0417597i
\(404\) 6990.55 + 5268.50i 0.860874 + 0.648806i
\(405\) −6772.10 3652.95i −0.830884 0.448188i
\(406\) −5608.53 + 2796.08i −0.685583 + 0.341790i
\(407\) 2099.11 + 1761.36i 0.255649 + 0.214515i
\(408\) 8354.45 11890.9i 1.01374 1.44286i
\(409\) 1168.51 + 6626.93i 0.141269 + 0.801175i 0.970288 + 0.241954i \(0.0777883\pi\)
−0.829019 + 0.559220i \(0.811101\pi\)
\(410\) 12168.0 1385.95i 1.46569 0.166945i
\(411\) −2785.16 5861.76i −0.334262 0.703502i
\(412\) −2420.95 + 2257.27i −0.289495 + 0.269922i
\(413\) 6907.96 + 3988.31i 0.823047 + 0.475186i
\(414\) −169.941 + 129.585i −0.0201743 + 0.0153835i
\(415\) −12201.3 + 7044.40i −1.44322 + 0.833244i
\(416\) −1565.97 815.528i −0.184563 0.0961167i
\(417\) −4052.70 + 15574.4i −0.475927 + 1.82898i
\(418\) −3604.78 1567.55i −0.421808 0.183424i
\(419\) −3155.57 + 2647.84i −0.367923 + 0.308724i −0.807939 0.589266i \(-0.799417\pi\)
0.440016 + 0.897990i \(0.354973\pi\)
\(420\) −794.178 5371.41i −0.0922664 0.624043i
\(421\) −14491.8 + 5274.57i −1.67764 + 0.610610i −0.992983 0.118259i \(-0.962269\pi\)
−0.684653 + 0.728869i \(0.740046\pi\)
\(422\) 6202.30 9369.96i 0.715458 1.08086i
\(423\) −14523.8 + 8667.76i −1.66944 + 0.996314i
\(424\) −6439.59 + 7538.25i −0.737580 + 0.863419i
\(425\) −1654.80 291.786i −0.188869 0.0333028i
\(426\) 11147.5 + 1584.08i 1.26784 + 0.180161i
\(427\) 359.668 988.181i 0.0407625 0.111994i
\(428\) 6537.05 + 3331.35i 0.738271 + 0.376231i
\(429\) 925.999 + 1302.32i 0.104214 + 0.146566i
\(430\) 713.994 + 171.440i 0.0800741 + 0.0192269i
\(431\) 11617.9 1.29841 0.649206 0.760612i \(-0.275101\pi\)
0.649206 + 0.760612i \(0.275101\pi\)
\(432\) −7098.13 5498.92i −0.790530 0.612423i
\(433\) −12616.0 −1.40020 −0.700100 0.714045i \(-0.746861\pi\)
−0.700100 + 0.714045i \(0.746861\pi\)
\(434\) 1538.95 + 369.525i 0.170212 + 0.0408704i
\(435\) −9775.50 + 926.513i −1.07747 + 0.102122i
\(436\) 12304.9 + 6270.72i 1.35160 + 0.688791i
\(437\) 42.1884 115.912i 0.00461819 0.0126884i
\(438\) 3688.27 + 9169.16i 0.402357 + 1.00027i
\(439\) −12236.0 2157.54i −1.33028 0.234565i −0.537085 0.843528i \(-0.680474\pi\)
−0.793198 + 0.608964i \(0.791586\pi\)
\(440\) −4891.06 + 5725.52i −0.529937 + 0.620349i
\(441\) 1822.64 + 4790.95i 0.196808 + 0.517325i
\(442\) 1882.11 2843.35i 0.202540 0.305983i
\(443\) 3468.68 1262.50i 0.372014 0.135402i −0.149246 0.988800i \(-0.547685\pi\)
0.521260 + 0.853398i \(0.325462\pi\)
\(444\) −3359.26 1329.32i −0.359062 0.142087i
\(445\) 1722.23 1445.13i 0.183465 0.153945i
\(446\) 4504.73 + 1958.89i 0.478263 + 0.207974i
\(447\) 8116.33 2237.78i 0.858813 0.236786i
\(448\) 111.862 6335.22i 0.0117969 0.668105i
\(449\) −9600.32 + 5542.75i −1.00906 + 0.582580i −0.910916 0.412592i \(-0.864623\pi\)
−0.0981424 + 0.995172i \(0.531290\pi\)
\(450\) −227.774 + 1012.91i −0.0238609 + 0.106109i
\(451\) −11201.3 6467.10i −1.16951 0.675219i
\(452\) 4431.73 4132.10i 0.461175 0.429995i
\(453\) −553.194 44.3703i −0.0573760 0.00460198i
\(454\) 5085.07 579.197i 0.525670 0.0598746i
\(455\) −221.233 1254.68i −0.0227947 0.129275i
\(456\) 5162.06 + 459.932i 0.530122 + 0.0472330i
\(457\) −2723.26 2285.09i −0.278750 0.233899i 0.492684 0.870208i \(-0.336016\pi\)
−0.771434 + 0.636309i \(0.780460\pi\)
\(458\) 4827.72 2406.81i 0.492543 0.245552i
\(459\) 11992.9 12524.8i 1.21956 1.27365i
\(460\) −188.707 142.221i −0.0191272 0.0144154i
\(461\) 10116.9 12056.9i 1.02211 1.21810i 0.0464249 0.998922i \(-0.485217\pi\)
0.975684 0.219181i \(-0.0703384\pi\)
\(462\) −2699.99 + 5059.26i −0.271894 + 0.509476i
\(463\) −2416.03 + 426.011i −0.242511 + 0.0427612i −0.293582 0.955934i \(-0.594847\pi\)
0.0510716 + 0.998695i \(0.483736\pi\)
\(464\) −11430.4 800.842i −1.14363 0.0801253i
\(465\) 2041.61 + 1407.67i 0.203608 + 0.140385i
\(466\) 14611.9 4327.70i 1.45254 0.430208i
\(467\) −1890.51 + 3274.46i −0.187328 + 0.324462i −0.944359 0.328918i \(-0.893316\pi\)
0.757030 + 0.653380i \(0.226650\pi\)
\(468\) −1700.63 1243.55i −0.167974 0.122827i
\(469\) 593.270 + 1027.57i 0.0584108 + 0.101170i
\(470\) −13565.0 12873.6i −1.33129 1.26343i
\(471\) 13770.6 13971.2i 1.34717 1.36679i
\(472\) 7180.52 + 12694.5i 0.700233 + 1.23795i
\(473\) −498.489 594.076i −0.0484578 0.0577498i
\(474\) −2838.70 13456.2i −0.275076 1.30394i
\(475\) −204.950 563.095i −0.0197974 0.0543928i
\(476\) 12145.6 + 1492.12i 1.16952 + 0.143679i
\(477\) −8951.53 + 7734.54i −0.859250 + 0.742432i
\(478\) 156.300 2554.06i 0.0149560 0.244394i
\(479\) −1403.57 + 7960.02i −0.133884 + 0.759295i 0.841746 + 0.539874i \(0.181528\pi\)
−0.975630 + 0.219421i \(0.929583\pi\)
\(480\) 3734.39 9198.83i 0.355106 0.874723i
\(481\) −796.555 289.922i −0.0755089 0.0274830i
\(482\) 8516.90 + 11510.7i 0.804843 + 1.08776i
\(483\) −163.639 74.8704i −0.0154158 0.00705325i
\(484\) −2626.01 + 606.076i −0.246620 + 0.0569192i
\(485\) 13913.5i 1.30263i
\(486\) −7384.49 7762.77i −0.689233 0.724540i
\(487\) 13027.2i 1.21215i −0.795406 0.606077i \(-0.792742\pi\)
0.795406 0.606077i \(-0.207258\pi\)
\(488\) 1483.78 1222.88i 0.137638 0.113437i
\(489\) 3305.75 + 1512.49i 0.305708 + 0.139872i
\(490\) −4556.13 + 3371.12i −0.420051 + 0.310800i
\(491\) 18212.1 + 6628.66i 1.67393 + 0.609261i 0.992458 0.122582i \(-0.0391175\pi\)
0.681473 + 0.731843i \(0.261340\pi\)
\(492\) 16705.0 + 3425.88i 1.53073 + 0.313924i
\(493\) 3842.71 21793.1i 0.351048 1.99089i
\(494\) 1213.74 + 74.2763i 0.110544 + 0.00676488i
\(495\) −6798.95 + 5874.61i −0.617354 + 0.533423i
\(496\) 2081.38 + 2010.50i 0.188420 + 0.182005i
\(497\) 3242.67 + 8909.17i 0.292663 + 0.804086i
\(498\) −19195.2 + 4049.39i −1.72723 + 0.364372i
\(499\) −3903.55 4652.06i −0.350194 0.417345i 0.561978 0.827152i \(-0.310040\pi\)
−0.912172 + 0.409807i \(0.865596\pi\)
\(500\) −11686.8 + 611.690i −1.04530 + 0.0547112i
\(501\) −8747.31 + 8874.73i −0.780042 + 0.791404i
\(502\) 11921.2 12561.5i 1.05990 1.11682i
\(503\) −7686.02 13312.6i −0.681317 1.18008i −0.974579 0.224044i \(-0.928074\pi\)
0.293262 0.956032i \(1.59474\pi\)
\(504\) 1270.93 7453.05i 0.112325 0.658701i
\(505\) −5774.54 + 10001.8i −0.508839 + 0.881336i
\(506\) 70.8721 + 239.290i 0.00622658 + 0.0210232i
\(507\) 8991.52 + 6199.53i 0.787628 + 0.543059i
\(508\) −8385.88 12915.0i −0.732408 1.12798i
\(509\) 16014.6 2823.80i 1.39457 0.245899i 0.574657 0.818394i \(-0.305135\pi\)
0.819908 + 0.572495i \(0.194024\pi\)
\(510\) 16915.4 + 9027.28i 1.46868 + 0.783794i
\(511\) −5349.29 + 6375.03i −0.463089 + 0.551888i
\(512\) 6056.26 9876.20i 0.522757 0.852482i
\(513\) 6006.59 + 1470.60i 0.516954 + 0.126567i
\(514\) −2742.29 5500.65i −0.235326 0.472030i
\(515\) −3345.40 2807.13i −0.286245 0.240188i
\(516\) 870.943 + 535.589i 0.0743045 + 0.0456938i
\(517\) 3429.76 + 19451.1i 0.291761 + 1.65466i
\(518\) −344.268 3022.51i −0.0292013 0.256373i
\(519\) 5775.56 + 463.243i 0.488476 + 0.0391794i
\(520\) 816.015 2181.86i 0.0688166 0.184002i
\(521\) 11045.9 + 6377.35i 0.928848 + 0.536270i 0.886447 0.462830i \(-0.153166\pi\)
0.0424006 + 0.999101i \(0.486499\pi\)
\(522\) −13339.6 2999.70i −1.11850 0.251520i
\(523\) 2699.99 1558.84i 0.225741 0.130331i −0.382865 0.923804i \(-0.625063\pi\)
0.608606 + 0.793473i \(0.291729\pi\)
\(524\) 65.2022 213.215i 0.00543582 0.0177755i
\(525\) −842.761 + 232.361i −0.0700592 + 0.0193163i
\(526\) 2261.88 5201.49i 0.187496 0.431171i
\(527\) −4281.22 + 3592.37i −0.353876 + 0.296938i
\(528\) −8949.12 + 5463.97i −0.737614 + 0.450358i
\(529\) 11425.9 4158.68i 0.939088 0.341800i
\(530\) −10907.4 7219.99i −0.893940 0.591729i
\(531\) 6188.02 + 16265.7i 0.505720 + 1.32932i
\(532\) 1704.83 + 4017.09i 0.138936 + 0.327374i
\(533\) 3940.39 + 694.797i 0.320220 + 0.0564634i
\(534\) 2904.33 1168.26i 0.235361 0.0946733i
\(535\) −3310.78 + 9096.29i −0.267547 + 0.735078i
\(536\) −19.1513 + 2169.41i −0.00154330 + 0.174821i
\(537\) 2665.71 252.653i 0.214216 0.0203032i
\(538\) −4089.84 + 17032.9i −0.327742 + 1.36494i
\(539\) 5985.89 0.478349
\(540\) 6058.97 10179.7i 0.482846 0.811235i
\(541\) −2017.52 −0.160333 −0.0801664 0.996781i \(-0.525545\pi\)
−0.0801664 + 0.996781i \(0.525545\pi\)
\(542\) −2256.30 + 9396.78i −0.178813 + 0.744698i
\(543\) 2192.94 + 3084.14i 0.173312 + 0.243745i
\(544\) 17748.3 + 13623.5i 1.39881 + 1.07372i
\(545\) −6232.00 + 17122.3i −0.489816 + 1.34576i
\(546\) 249.581 1756.36i 0.0195624 0.137665i
\(547\) −15224.8 2684.54i −1.19006 0.209840i −0.456664 0.889639i \(-0.650956\pi\)
−0.733398 + 0.679799i \(0.762067\pi\)
\(548\) 9197.66 3903.44i 0.716979 0.304283i
\(549\) 1970.15 1175.77i 0.153158 0.0914040i
\(550\) 1010.96 + 669.189i 0.0783773 + 0.0518806i
\(551\) 7415.76 2699.11i 0.573361 0.208686i
\(552\) −188.293 269.827i −0.0145186 0.0208054i
\(553\) 8870.85 7443.52i 0.682146 0.572389i
\(554\) 1567.66 3605.05i 0.120223 0.276469i
\(555\) 1200.33 4612.86i 0.0918041 0.352802i
\(556\) −23693.8 7245.67i −1.80727 0.552671i
\(557\) 4713.26 2721.20i 0.358541 0.207004i −0.309900 0.950769i \(-0.600295\pi\)
0.668441 + 0.743766i \(0.266962\pi\)
\(558\) 2093.78 + 2745.83i 0.158847 + 0.208316i
\(559\) 207.762 + 119.952i 0.0157199 + 0.00907588i
\(560\) 8314.05 872.710i 0.627380 0.0658548i
\(561\) −8690.43 18290.2i −0.654029 1.37650i
\(562\) 1239.48 + 10882.0i 0.0930325 + 0.816780i
\(563\) −3284.99 18630.1i −0.245907 1.39461i −0.818376 0.574684i \(-0.805125\pi\)
0.572468 0.819927i \(1.69401\pi\)
\(564\) −12389.6 22904.1i −0.924990 1.70999i
\(565\) 6124.01 + 5138.65i 0.455998 + 0.382628i
\(566\) −5804.78 11643.6i −0.431083 0.864692i
\(567\) 2839.15 8563.28i 0.210288 0.634257i
\(568\) −3160.80 + 17044.5i −0.233493 + 1.25911i
\(569\) −8166.35 + 9732.27i −0.601671 + 0.717044i −0.977804 0.209522i \(-0.932809\pi\)
0.376133 + 0.926566i \(0.377254\pi\)
\(570\) 228.173 + 6833.78i 0.0167669 + 0.502167i
\(571\) −11283.2 + 1989.54i −0.826949 + 0.145813i −0.571076 0.820897i \(-0.693474\pi\)
−0.255873 + 0.966710i \(0.582363\pi\)
\(572\) −2063.42 + 1339.80i −0.150832 + 0.0979370i
\(573\) 95.2927 45.2774i 0.00694749 0.00330103i
\(574\) 4077.71 + 13767.8i 0.296517 + 1.00115i
\(575\) −19.0222 + 32.9475i −0.00137962 + 0.00238957i
\(576\) 8919.68 10561.4i 0.645232 0.763987i
\(577\) −5312.23 9201.05i −0.383277 0.663856i 0.608251 0.793745i \(-0.291871\pi\)
−0.991529 + 0.129889i \(0.958538\pi\)
\(578\) −20179.2 + 21263.1i −1.45216 + 1.53015i
\(579\) 1756.70 + 457.119i 0.126090 + 0.0328104i
\(580\) −790.189 15097.2i −0.0565704 1.08082i
\(581\) −10618.1 12654.2i −0.758201 0.903588i
\(582\) 6014.94 18416.2i 0.428397 1.31164i
\(583\) 4724.96 + 12981.7i 0.335657 + 0.922210i
\(584\) −14343.9 + 5077.79i −1.01636 + 0.359796i
\(585\) 1354.85 2427.06i 0.0957543 0.171533i
\(586\) 6254.01 + 382.723i 0.440872 + 0.0269798i
\(587\) 3587.59 20346.2i 0.252259 1.43063i −0.550754 0.834668i \(-0.685660\pi\)
0.803013 0.595962i \(-0.203229\pi\)
\(588\) −7487.97 + 2492.43i −0.525168 + 0.174806i
\(589\) −1872.85 681.660i −0.131017 0.0476864i
\(590\) −15468.5 + 11445.2i −1.07937 + 0.798633i
\(591\) −16240.9 + 11547.9i −1.13039 + 0.803749i
\(592\) 2263.01 5080.97i 0.157110 0.352747i
\(593\) 5114.38i 0.354170i 0.984196 + 0.177085i \(0.0566667\pi\)
−0.984196 + 0.177085i \(0.943333\pi\)
\(594\) −11538.9 + 4836.50i −0.797049 + 0.334081i
\(595\) 16144.8i 1.11239i
\(596\) 2915.00 + 12630.1i 0.200341 + 0.868038i
\(597\) −1455.64 15358.2i −0.0997910 1.05288i
\(598\) −45.9197 62.0613i −0.00314013 0.00424394i
\(599\) 11640.3 + 4236.73i 0.794007 + 0.288995i 0.707001 0.707213i \(-0.250048\pi\)
0.0870063 + 0.996208i \(0.472270\pi\)
\(600\) −1543.29 416.166i −0.105007 0.0283165i
\(601\) 4448.92 25231.1i 0.301956 1.71248i −0.335544 0.942025i \(-0.608920\pi\)
0.637499 0.770451i \(-0.279969\pi\)
\(602\) −52.5881 + 859.333i −0.00356035 + 0.0581791i
\(603\) −412.616 + 2555.63i −0.0278657 + 0.172593i
\(604\) 104.186 848.057i 0.00701868 0.0571307i
\(605\) −1216.13 3341.29i −0.0817235 0.224533i
\(606\) −11967.2 + 10742.2i −0.802202 + 0.720087i
\(607\) 1673.68 + 1994.62i 0.111916 + 0.133376i 0.819094 0.573659i \(-0.194477\pi\)
−0.707178 + 0.707035i \(0.750032\pi\)
\(608\) −1042.80 + 7910.56i −0.0695578 + 0.527657i
\(609\) −3060.11 11098.9i −0.203615 0.738503i
\(610\) 1840.08 + 1746.29i 0.122136 + 0.115910i
\(611\) −3055.00 5291.42i −0.202279 0.350357i
\(612\) 18487.0 + 19261.4i 1.22106 + 1.27222i
\(613\) −383.737 + 664.651i −0.0252838 + 0.0437928i −0.878390 0.477944i \(-0.841382\pi\)
0.853107 + 0.521737i \(0.174716\pi\)
\(614\) −14643.2 + 4336.99i −0.962463 + 0.285059i
\(615\) −1798.77 + 22426.5i −0.117941 + 1.47045i
\(616\) −7606.91 4481.85i −0.497551 0.293147i
\(617\) −10822.5 + 1908.30i −0.706157 + 0.124515i −0.515182 0.857081i \(-0.672276\pi\)
−0.190974 + 0.981595i \(0.561165\pi\)
\(618\) −3214.50 5161.83i −0.209233 0.335986i
\(619\) 18029.7 21487.0i 1.17072 1.39521i 0.268861 0.963179i \(-0.413353\pi\)
0.901859 0.432030i \(-0.142203\pi\)
\(620\) −2297.93 + 3049.03i −0.148850 + 0.197503i
\(621\) −173.604 352.145i −0.0112182 0.0227554i
\(622\) 20902.2 10420.6i 1.34743 0.671747i
\(623\) 2019.29 + 1694.39i 0.129857 + 0.108963i
\(624\) 2023.34 2535.18i 0.129805 0.162642i
\(625\) −2386.07 13532.1i −0.152709 0.866053i
\(626\) −1784.01 + 203.201i −0.113903 + 0.0129737i
\(627\) 4099.18 5945.26i 0.261093 0.378678i
\(628\) 20596.4 + 22089.9i 1.30873 + 1.40363i
\(629\) 9302.80 + 5370.97i 0.589709 + 0.340469i
\(630\) 9964.33 + 465.269i 0.630140 + 0.0294234i
\(631\) 5884.97 3397.69i 0.371279 0.214358i −0.302738 0.953074i \(-0.597901\pi\)
0.674017 + 0.738716i \(0.264567\pi\)
\(632\) 20883.2 3492.48i 1.31438 0.219815i
\(633\) 14702.1 + 14491.1i 0.923156 + 0.909902i
\(634\) 1732.12 + 753.216i 0.108503 + 0.0471830i
\(635\) 15563.3 13059.2i 0.972615 0.816121i
\(636\) −11316.0 14271.9i −0.705518 0.889810i
\(637\) −1740.05 + 633.328i −0.108231 + 0.0393930i
\(638\) −8812.97 + 13314.0i −0.546879 + 0.826184i
\(639\) −6792.88 + 19537.8i −0.420535 + 1.20955i
\(640\) 13907.3 + 6341.90i 0.858962 + 0.391696i
\(641\) 10582.1 + 1865.91i 0.652057 + 0.114975i 0.489885 0.871787i \(-0.337039\pi\)
0.162172 + 0.986762i \(0.448150\pi\)
\(642\) −8314.64 + 10608.8i −0.511141 + 0.652172i
\(643\) −675.946 + 1857.15i −0.0414568 + 0.113902i −0.958694 0.284441i \(-0.908192\pi\)
0.917237 + 0.398342i \(0.130414\pi\)
\(644\) 125.798 246.851i 0.00769739 0.0151045i
\(645\) −561.246 + 1226.68i −0.0342621 + 0.0748842i
\(646\) −14983.6 3597.78i −0.912574 0.219122i
\(647\) −948.291 −0.0576216 −0.0288108 0.999585i \(-0.509172\pi\)
−0.0288108 + 0.999585i \(0.509172\pi\)
\(648\) 12420.6 10854.8i 0.752975 0.658049i
\(649\) 20322.6 1.22917
\(650\) −364.681 87.5652i −0.0220061 0.00528399i
\(651\) −1209.72 + 2643.99i −0.0728304 + 0.159180i
\(652\) −2541.30 + 4986.75i −0.152646 + 0.299534i
\(653\) 7702.26 21161.8i 0.461582 1.26819i −0.462714 0.886508i \(-0.653124\pi\)
0.924295 0.381678i \(-0.124654\pi\)
\(654\) −15651.0 + 19969.3i −0.935782 + 1.19398i
\(655\) 289.698 + 51.0816i 0.0172816 + 0.00304721i
\(656\) −6354.91 + 25473.5i −0.378228 + 1.51612i
\(657\) −17833.2 + 3411.07i −1.05897 + 0.202555i
\(658\) 12102.9 18284.2i 0.717053 1.08327i
\(659\) −30372.5 + 11054.7i −1.79536 + 0.653458i −0.796559 + 0.604561i \(0.793348\pi\)
−0.998804 + 0.0488973i \(0.984429\pi\)
\(660\) −8594.85 10840.0i −0.506900 0.639310i
\(661\) 7562.54 6345.73i 0.445006 0.373404i −0.392573 0.919721i \(-0.628415\pi\)
0.837579 + 0.546317i \(0.183971\pi\)
\(662\) 10605.5 + 4611.82i 0.622650 + 0.270761i
\(663\) 4461.42 + 4397.36i 0.261338 + 0.257586i
\(664\) −4982.00 29789.7i −0.291173 1.74106i
\(665\) −4986.16 + 2878.76i −0.290759 + 0.167870i
\(666\) 3582.98 5586.76i 0.208465 0.325049i
\(667\) −433.906 250.516i −0.0251888 0.0145427i
\(668\) −13083.2 14031.9i −0.757788 0.812738i
\(669\) −5122.55 + 7429.52i −0.296038 + 0.429360i
\(670\) −2843.95 + 323.930i −0.163987 + 0.0186784i
\(671\) −465.244 2638.53i −0.0267668 0.151802i
\(672\) 11381.9 + 2439.12i 0.653375 + 0.140016i
\(673\) −866.162 726.796i −0.0496108 0.0416284i 0.617645 0.786457i \(-0.288087\pi\)
−0.667256 + 0.744829i \(0.732531\pi\)
\(674\) 4106.67 2047.34i 0.234693 0.117004i
\(675\) −1745.67 768.377i −0.0995423 0.0438146i
\(676\) −10120.4 + 13428.3i −0.575807 + 0.764014i
\(677\) −4025.40 + 4797.28i −0.228521 + 0.272340i −0.868105 0.496381i \(-0.834662\pi\)
0.639584 + 0.768721i \(0.279107\pi\)
\(678\) 5884.38 + 9449.11i 0.333316 + 0.535237i
\(679\) 16065.5 2832.77i 0.908005 0.160106i
\(680\) −14984.8 + 25433.3i −0.845062 + 1.43430i
\(681\) −751.719 + 9372.18i −0.0422995 + 0.527376i
\(682\) 3866.33 1145.12i 0.217081 0.0642944i
\(683\) −9209.59 + 15951.5i −0.515952 + 0.893655i 0.483876 + 0.875136i \(0.339228\pi\)
−0.999829 + 0.0185190i \(0.994105\pi\)
\(684\) −2652.30 + 9143.98i −0.148265 + 0.511153i
\(685\) 6591.31 + 11416.5i 0.367651 + 0.636790i
\(686\) −13528.7 12839.2i −0.752958 0.714579i
\(687\) 2634.08 + 9553.68i 0.146283 + 0.530561i
\(688\) −880.435 + 1304.92i −0.0487882 + 0.0723104i
\(689\) −2747.02 3273.78i −0.151892 0.181017i
\(690\) 323.049 289.981i 0.0178236 0.0159991i
\(691\) −937.953 2577.01i −0.0516374 0.141872i 0.911193 0.411980i \(-0.135163\pi\)
−0.962830 + 0.270108i \(0.912941\pi\)
\(692\) −1087.75 + 8854.05i −0.0597542 + 0.486388i
\(693\) −8167.51 6654.48i −0.447703 0.364766i
\(694\) 1069.70 17479.8i 0.0585090 0.956085i
\(695\) 5676.50 32193.0i 0.309816 1.75705i
\(696\) 5480.75 20324.5i 0.298488 1.10690i
\(697\) −47646.0 17341.7i −2.58927 0.942417i
\(698\) −16139.3 21812.6i −0.875191 1.18284i
\(699\) 2641.63 + 27871.5i 0.142941 + 1.50815i
\(700\) −302.680 1311.45i −0.0163432 0.0708118i
\(701\) 10590.5i 0.570611i 0.958437 + 0.285305i \(0.0920951\pi\)
−0.958437 + 0.285305i \(0.907905\pi\)
\(702\) 2842.56 2626.79i 0.152828 0.141228i
\(703\) 3830.77i 0.205519i
\(704\) −7823.52 14120.7i −0.418835 0.755959i
\(705\) 28000.0 19909.0i 1.49580 1.06357i
\(706\) −9633.30 + 7127.77i −0.513533 + 0.379968i
\(707\) −12724.5 4631.33i −0.676879 0.246364i
\(708\) −25422.3 + 8462.00i −1.34947 + 0.449183i
\(709\) −4066.53 + 23062.4i −0.215404 + 1.22162i 0.664799 + 0.747022i \(0.268517\pi\)
−0.880203 + 0.474597i \(0.842594\pi\)
\(710\) −22828.5 1397.02i −1.20668 0.0738442i
\(711\) 25262.1 365.333i 1.33250 0.0192701i
\(712\) 1608.39 + 4543.42i 0.0846587 + 0.239146i
\(713\) 43.2776 + 118.904i 0.00227315 + 0.00624544i
\(714\) −6979.58 + 21369.6i −0.365832 + 1.12008i
\(715\) −2086.45 2486.53i −0.109131 0.130057i
\(716\) 215.479 + 4116.89i 0.0112470 + 0.214882i
\(717\) 4549.39 + 1183.82i 0.236960 + 0.0616604i
\(718\) −10831.4 + 11413.1i −0.562985 + 0.593222i
\(719\) 17755.5 + 30753.4i 0.920956 + 1.59514i 0.797940 + 0.602737i \(0.205923\pi\)
0.123016 + 0.992405i \(0.460743\pi\)
\(720\) 15265.2 + 9981.36i 0.790140 + 0.516643i
\(721\) 2560.18 4434.37i 0.132242 0.229049i
\(722\) 3948.75 + 13332.4i 0.203542 + 0.687231i
\(723\) −23760.1 + 11289.4i −1.22220 + 0.580714i
\(724\) −4886.57 + 3172.91i −0.250840 + 0.162873i
\(725\) −2397.02 + 422.658i −0.122790 + 0.0216512i
\(726\) −165.220 4948.35i −0.00844615 0.252962i
\(727\) 15621.3 18616.8i 0.796922 0.949735i −0.202642 0.979253i \(-0.564953\pi\)
0.999564 + 0.0295181i \(0.00939727\pi\)
\(728\) 2685.47 + 498.003i 0.136717 + 0.0253533i
\(729\) 16603.1 10571.5i 0.843526 0.537088i
\(730\) −8957.04 17966.6i −0.454130 0.910921i
\(731\) −2328.86 1954.15i −0.117833 0.0988737i
\(732\) 1680.63 + 3106.92i 0.0848606 + 0.156878i
\(733\) −1977.98 11217.7i −0.0996703 0.565259i −0.993216 0.116286i \(-0.962901\pi\)
0.893545 0.448973i \(-0.148210\pi\)
\(734\) −1158.04 10167.1i −0.0582346 0.511272i
\(735\) −4468.51 9404.62i −0.224250 0.471966i
\(736\) 427.287 272.111i 0.0213995 0.0136279i
\(737\) 2618.02 + 1511.51i 0.130849 + 0.0755459i
\(738\) −12076.1 + 28906.6i −0.602342 + 1.44183i
\(739\) −9454.02 + 5458.28i −0.470598 + 0.271700i −0.716490 0.697597i \(-0.754252\pi\)
0.245892 + 0.969297i \(0.420919\pi\)
\(740\) 7017.66 + 2146.03i 0.348614 + 0.106608i
\(741\) −562.571 + 2161.95i −0.0278901 + 0.107181i
\(742\) 6115.97 14064.5i 0.302593 0.695853i
\(743\) 3169.17 2659.25i 0.156481 0.131303i −0.561186 0.827690i \(-0.689655\pi\)
0.717667 + 0.696387i \(0.245210\pi\)
\(744\) −4359.73 + 3042.35i −0.214832 + 0.149916i
\(745\) −16070.4 + 5849.14i −0.790299 + 0.287645i
\(746\) −17008.0 11258.2i −0.834730 0.552536i
\(747\) −521.145 36036.3i −0.0255257 1.76506i
\(748\) 28699.1 12179.8i 1.40287 0.595370i
\(749\) −11177.3 1970.86i −0.545273 0.0961463i
\(750\) 3024.71 21285.6i 0.147262 1.03632i
\(751\) 3197.76 8785.77i 0.155377 0.426894i −0.837441 0.546527i \(-0.815950\pi\)
0.992818 + 0.119633i \(0.0381718\pi\)
\(752\) 36036.5 17570.2i 1.74749 0.852019i
\(753\) 18436.2 + 25928.5i 0.892233 + 1.25483i
\(754\) 1153.20 4802.72i 0.0556991