Properties

Label 27.4.e.a.22.8
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 22.8
Character \(\chi\) = 27.22
Dual form 27.4.e.a.16.8

$q$-expansion

\(f(q)\) \(=\) \(q+(4.06576 - 3.41158i) q^{2} +(-1.93603 + 4.82201i) q^{3} +(3.50237 - 19.8629i) q^{4} +(-5.18200 + 1.88609i) q^{5} +(8.57922 + 26.2101i) q^{6} +(4.27574 + 24.2490i) q^{7} +(-32.2942 - 55.9352i) q^{8} +(-19.5035 - 18.6711i) q^{9} +O(q^{10})\) \(q+(4.06576 - 3.41158i) q^{2} +(-1.93603 + 4.82201i) q^{3} +(3.50237 - 19.8629i) q^{4} +(-5.18200 + 1.88609i) q^{5} +(8.57922 + 26.2101i) q^{6} +(4.27574 + 24.2490i) q^{7} +(-32.2942 - 55.9352i) q^{8} +(-19.5035 - 18.6711i) q^{9} +(-14.6342 + 25.3472i) q^{10} +(0.554625 + 0.201867i) q^{11} +(88.9984 + 55.3437i) q^{12} +(-1.25967 - 1.05699i) q^{13} +(100.111 + 84.0035i) q^{14} +(0.937767 - 28.6392i) q^{15} +(-170.504 - 62.0585i) q^{16} +(33.3077 - 57.6906i) q^{17} +(-142.995 - 9.37457i) q^{18} +(6.62771 + 11.4795i) q^{19} +(19.3140 + 109.535i) q^{20} +(-125.207 - 26.3291i) q^{21} +(2.94366 - 1.07140i) q^{22} +(28.1084 - 159.411i) q^{23} +(332.243 - 47.4305i) q^{24} +(-72.4598 + 60.8010i) q^{25} -8.72750 q^{26} +(127.792 - 57.8983i) q^{27} +496.630 q^{28} +(-54.0249 + 45.3323i) q^{29} +(-93.8921 - 119.639i) q^{30} +(-24.1904 + 137.191i) q^{31} +(-419.402 + 152.650i) q^{32} +(-2.04718 + 2.28358i) q^{33} +(-61.3949 - 348.188i) q^{34} +(-67.8927 - 117.594i) q^{35} +(-439.172 + 322.004i) q^{36} +(-40.2843 + 69.7744i) q^{37} +(66.1101 + 24.0621i) q^{38} +(7.53556 - 4.02777i) q^{39} +(272.847 + 228.946i) q^{40} +(130.925 + 109.859i) q^{41} +(-598.885 + 320.105i) q^{42} +(456.650 + 166.207i) q^{43} +(5.95216 - 10.3094i) q^{44} +(136.283 + 59.9683i) q^{45} +(-429.561 - 744.021i) q^{46} +(17.5170 + 99.3440i) q^{47} +(629.349 - 702.026i) q^{48} +(-247.415 + 90.0517i) q^{49} +(-87.1769 + 494.405i) q^{50} +(213.700 + 272.301i) q^{51} +(-25.4066 + 21.3187i) q^{52} -374.393 q^{53} +(322.047 - 671.373i) q^{54} -3.25480 q^{55} +(1218.29 - 1022.27i) q^{56} +(-68.1859 + 9.73412i) q^{57} +(-64.9978 + 368.621i) q^{58} +(-97.7707 + 35.5856i) q^{59} +(-565.573 - 118.932i) q^{60} +(85.6796 + 485.913i) q^{61} +(369.684 + 640.312i) q^{62} +(369.364 - 552.774i) q^{63} +(-458.625 + 794.361i) q^{64} +(8.52116 + 3.10145i) q^{65} +(-0.532704 + 16.2686i) q^{66} +(-567.724 - 476.377i) q^{67} +(-1029.25 - 863.640i) q^{68} +(714.261 + 444.164i) q^{69} +(-677.215 - 246.486i) q^{70} +(96.7118 - 167.510i) q^{71} +(-414.523 + 1693.90i) q^{72} +(-400.944 - 694.455i) q^{73} +(74.2547 + 421.119i) q^{74} +(-152.898 - 467.115i) q^{75} +(251.230 - 91.4401i) q^{76} +(-2.52363 + 14.3122i) q^{77} +(16.8967 - 42.0841i) q^{78} +(899.004 - 754.354i) q^{79} +1000.60 q^{80} +(31.7764 + 728.307i) q^{81} +907.106 q^{82} +(-918.633 + 770.825i) q^{83} +(-961.492 + 2394.75i) q^{84} +(-63.7904 + 361.774i) q^{85} +(2423.66 - 882.140i) q^{86} +(-113.999 - 348.273i) q^{87} +(-6.61970 - 37.5422i) q^{88} +(-694.505 - 1202.92i) q^{89} +(758.681 - 221.123i) q^{90} +(20.2448 - 35.0650i) q^{91} +(-3067.91 - 1116.63i) q^{92} +(-614.701 - 382.252i) q^{93} +(410.140 + 344.149i) q^{94} +(-55.9962 - 46.9864i) q^{95} +(75.8977 - 2317.90i) q^{96} +(-413.975 - 150.675i) q^{97} +(-698.713 + 1210.21i) q^{98} +(-7.04806 - 14.2926i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.06576 3.41158i 1.43746 1.20618i 0.496335 0.868131i \(-0.334679\pi\)
0.941130 0.338045i \(-0.109765\pi\)
\(3\) −1.93603 + 4.82201i −0.372590 + 0.927996i
\(4\) 3.50237 19.8629i 0.437796 2.48286i
\(5\) −5.18200 + 1.88609i −0.463492 + 0.168697i −0.563202 0.826319i \(-0.690431\pi\)
0.0997101 + 0.995017i \(0.468208\pi\)
\(6\) 8.57922 + 26.2101i 0.583742 + 1.78337i
\(7\) 4.27574 + 24.2490i 0.230868 + 1.30932i 0.851142 + 0.524935i \(0.175910\pi\)
−0.620274 + 0.784385i \(0.712979\pi\)
\(8\) −32.2942 55.9352i −1.42722 2.47201i
\(9\) −19.5035 18.6711i −0.722353 0.691524i
\(10\) −14.6342 + 25.3472i −0.462775 + 0.801549i
\(11\) 0.554625 + 0.201867i 0.0152023 + 0.00553320i 0.349610 0.936895i \(-0.386314\pi\)
−0.334408 + 0.942428i \(0.608536\pi\)
\(12\) 88.9984 + 55.3437i 2.14097 + 1.33136i
\(13\) −1.25967 1.05699i −0.0268745 0.0225504i 0.629251 0.777202i \(-0.283362\pi\)
−0.656126 + 0.754651i \(0.727806\pi\)
\(14\) 100.111 + 84.0035i 1.91114 + 1.60363i
\(15\) 0.937767 28.6392i 0.0161420 0.492974i
\(16\) −170.504 62.0585i −2.66413 0.969664i
\(17\) 33.3077 57.6906i 0.475194 0.823060i −0.524403 0.851470i \(-0.675711\pi\)
0.999596 + 0.0284107i \(0.00904462\pi\)
\(18\) −142.995 9.37457i −1.87246 0.122756i
\(19\) 6.62771 + 11.4795i 0.0800264 + 0.138610i 0.903261 0.429091i \(-0.141166\pi\)
−0.823235 + 0.567701i \(0.807833\pi\)
\(20\) 19.3140 + 109.535i 0.215937 + 1.22464i
\(21\) −125.207 26.3291i −1.30106 0.273595i
\(22\) 2.94366 1.07140i 0.0285268 0.0103829i
\(23\) 28.1084 159.411i 0.254827 1.44519i −0.541691 0.840578i \(-0.682216\pi\)
0.796517 0.604616i \(-0.206673\pi\)
\(24\) 332.243 47.4305i 2.82578 0.403404i
\(25\) −72.4598 + 60.8010i −0.579679 + 0.486408i
\(26\) −8.72750 −0.0658309
\(27\) 127.792 57.8983i 0.910873 0.412686i
\(28\) 496.630 3.35194
\(29\) −54.0249 + 45.3323i −0.345937 + 0.290276i −0.799156 0.601124i \(-0.794720\pi\)
0.453219 + 0.891399i \(0.350276\pi\)
\(30\) −93.8921 119.639i −0.571409 0.728102i
\(31\) −24.1904 + 137.191i −0.140152 + 0.794844i 0.830980 + 0.556303i \(0.187780\pi\)
−0.971132 + 0.238542i \(0.923331\pi\)
\(32\) −419.402 + 152.650i −2.31689 + 0.843279i
\(33\) −2.04718 + 2.28358i −0.0107990 + 0.0120461i
\(34\) −61.3949 348.188i −0.309681 1.75629i
\(35\) −67.8927 117.594i −0.327884 0.567912i
\(36\) −439.172 + 322.004i −2.03320 + 1.49076i
\(37\) −40.2843 + 69.7744i −0.178992 + 0.310023i −0.941535 0.336914i \(-0.890617\pi\)
0.762544 + 0.646937i \(0.223950\pi\)
\(38\) 66.1101 + 24.0621i 0.282223 + 0.102721i
\(39\) 7.53556 4.02777i 0.0309399 0.0165374i
\(40\) 272.847 + 228.946i 1.07852 + 0.904989i
\(41\) 130.925 + 109.859i 0.498710 + 0.418467i 0.857135 0.515091i \(-0.172242\pi\)
−0.358426 + 0.933558i \(0.616686\pi\)
\(42\) −598.885 + 320.105i −2.20024 + 1.17603i
\(43\) 456.650 + 166.207i 1.61950 + 0.589449i 0.983287 0.182064i \(-0.0582779\pi\)
0.636213 + 0.771514i \(0.280500\pi\)
\(44\) 5.95216 10.3094i 0.0203937 0.0353229i
\(45\) 136.283 + 59.9683i 0.451463 + 0.198657i
\(46\) −429.561 744.021i −1.37685 2.38478i
\(47\) 17.5170 + 99.3440i 0.0543643 + 0.308315i 0.999849 0.0173499i \(-0.00552292\pi\)
−0.945485 + 0.325665i \(0.894412\pi\)
\(48\) 629.349 702.026i 1.89247 2.11102i
\(49\) −247.415 + 90.0517i −0.721327 + 0.262541i
\(50\) −87.1769 + 494.405i −0.246574 + 1.39839i
\(51\) 213.700 + 272.301i 0.586744 + 0.747642i
\(52\) −25.4066 + 21.3187i −0.0677551 + 0.0568533i
\(53\) −374.393 −0.970318 −0.485159 0.874426i \(-0.661238\pi\)
−0.485159 + 0.874426i \(0.661238\pi\)
\(54\) 322.047 671.373i 0.811576 1.69190i
\(55\) −3.25480 −0.00797959
\(56\) 1218.29 1022.27i 2.90715 2.43939i
\(57\) −68.1859 + 9.73412i −0.158446 + 0.0226196i
\(58\) −64.9978 + 368.621i −0.147149 + 0.834522i
\(59\) −97.7707 + 35.5856i −0.215740 + 0.0785230i −0.447629 0.894219i \(-0.647732\pi\)
0.231889 + 0.972742i \(0.425509\pi\)
\(60\) −565.573 118.932i −1.21692 0.255900i
\(61\) 85.6796 + 485.913i 0.179839 + 1.01991i 0.932409 + 0.361404i \(0.117702\pi\)
−0.752571 + 0.658511i \(0.771187\pi\)
\(62\) 369.684 + 640.312i 0.757258 + 1.31161i
\(63\) 369.364 552.774i 0.738658 1.10544i
\(64\) −458.625 + 794.361i −0.895751 + 1.55149i
\(65\) 8.52116 + 3.10145i 0.0162603 + 0.00591827i
\(66\) −0.532704 + 16.2686i −0.000993504 + 0.0303414i
\(67\) −567.724 476.377i −1.03520 0.868638i −0.0437417 0.999043i \(-0.513928\pi\)
−0.991461 + 0.130405i \(0.958372\pi\)
\(68\) −1029.25 863.640i −1.83551 1.54017i
\(69\) 714.261 + 444.164i 1.24619 + 0.774943i
\(70\) −677.215 246.486i −1.15632 0.420868i
\(71\) 96.7118 167.510i 0.161656 0.279997i −0.773807 0.633422i \(-0.781650\pi\)
0.935463 + 0.353425i \(0.114983\pi\)
\(72\) −414.523 + 1693.90i −0.678500 + 2.77262i
\(73\) −400.944 694.455i −0.642834 1.11342i −0.984797 0.173708i \(-0.944425\pi\)
0.341963 0.939714i \(-0.388908\pi\)
\(74\) 74.2547 + 421.119i 0.116648 + 0.661542i
\(75\) −152.898 467.115i −0.235402 0.719170i
\(76\) 251.230 91.4401i 0.379184 0.138012i
\(77\) −2.52363 + 14.3122i −0.00373499 + 0.0211822i
\(78\) 16.8967 42.0841i 0.0245279 0.0610909i
\(79\) 899.004 754.354i 1.28033 1.07432i 0.287128 0.957892i \(-0.407299\pi\)
0.993199 0.116430i \(-0.0371450\pi\)
\(80\) 1000.60 1.39838
\(81\) 31.7764 + 728.307i 0.0435890 + 0.999050i
\(82\) 907.106 1.22162
\(83\) −918.633 + 770.825i −1.21486 + 1.01939i −0.215779 + 0.976442i \(0.569229\pi\)
−0.999077 + 0.0429439i \(0.986326\pi\)
\(84\) −961.492 + 2394.75i −1.24890 + 3.11058i
\(85\) −63.7904 + 361.774i −0.0814005 + 0.461645i
\(86\) 2423.66 882.140i 3.03895 1.10609i
\(87\) −113.999 348.273i −0.140482 0.429182i
\(88\) −6.61970 37.5422i −0.00801889 0.0454774i
\(89\) −694.505 1202.92i −0.827161 1.43269i −0.900256 0.435360i \(-0.856621\pi\)
0.0730950 0.997325i \(-0.476712\pi\)
\(90\) 758.681 221.123i 0.888577 0.258982i
\(91\) 20.2448 35.0650i 0.0233212 0.0403935i
\(92\) −3067.91 1116.63i −3.47665 1.26540i
\(93\) −614.701 382.252i −0.685393 0.426212i
\(94\) 410.140 + 344.149i 0.450029 + 0.377619i
\(95\) −55.9962 46.9864i −0.0604747 0.0507443i
\(96\) 75.8977 2317.90i 0.0806904 2.46426i
\(97\) −413.975 150.675i −0.433328 0.157719i 0.116141 0.993233i \(-0.462948\pi\)
−0.549469 + 0.835514i \(0.685170\pi\)
\(98\) −698.713 + 1210.21i −0.720210 + 1.24744i
\(99\) −7.04806 14.2926i −0.00715512 0.0145097i
\(100\) 953.904 + 1652.21i 0.953904 + 1.65221i
\(101\) 213.631 + 1211.56i 0.210466 + 1.19361i 0.888603 + 0.458677i \(0.151677\pi\)
−0.678137 + 0.734936i \(0.737212\pi\)
\(102\) 1797.83 + 378.057i 1.74521 + 0.366992i
\(103\) 509.226 185.343i 0.487141 0.177305i −0.0867602 0.996229i \(-0.527651\pi\)
0.573902 + 0.818924i \(0.305429\pi\)
\(104\) −18.4428 + 104.594i −0.0173891 + 0.0986184i
\(105\) 698.480 99.7139i 0.649187 0.0926770i
\(106\) −1522.19 + 1277.27i −1.39480 + 1.17037i
\(107\) 441.361 0.398766 0.199383 0.979922i \(-0.436106\pi\)
0.199383 + 0.979922i \(0.436106\pi\)
\(108\) −702.454 2741.10i −0.625867 2.44225i
\(109\) −421.922 −0.370759 −0.185380 0.982667i \(-0.559351\pi\)
−0.185380 + 0.982667i \(0.559351\pi\)
\(110\) −13.2333 + 11.1040i −0.0114704 + 0.00962479i
\(111\) −258.461 329.337i −0.221009 0.281615i
\(112\) 775.821 4399.90i 0.654537 3.71206i
\(113\) 328.757 119.658i 0.273689 0.0996148i −0.201529 0.979482i \(-0.564591\pi\)
0.475219 + 0.879868i \(0.342369\pi\)
\(114\) −244.019 + 272.198i −0.200478 + 0.223629i
\(115\) 155.006 + 879.081i 0.125690 + 0.712824i
\(116\) 711.216 + 1231.86i 0.569265 + 0.985995i
\(117\) 4.83283 + 44.1344i 0.00381876 + 0.0348737i
\(118\) −276.109 + 478.236i −0.215406 + 0.373095i
\(119\) 1541.35 + 561.006i 1.18736 + 0.432162i
\(120\) −1632.22 + 872.425i −1.24167 + 0.663676i
\(121\) −1019.34 855.326i −0.765844 0.642619i
\(122\) 2006.09 + 1683.31i 1.48871 + 1.24917i
\(123\) −783.219 + 418.632i −0.574150 + 0.306884i
\(124\) 2640.28 + 960.984i 1.91213 + 0.695959i
\(125\) 605.471 1048.71i 0.433239 0.750393i
\(126\) −384.086 3507.56i −0.271565 2.47999i
\(127\) 499.686 + 865.482i 0.349134 + 0.604718i 0.986096 0.166178i \(-0.0531425\pi\)
−0.636962 + 0.770895i \(0.719809\pi\)
\(128\) 225.349 + 1278.02i 0.155611 + 0.882515i
\(129\) −1685.54 + 1880.19i −1.15042 + 1.28327i
\(130\) 45.2259 16.4609i 0.0305121 0.0111055i
\(131\) −104.414 + 592.162i −0.0696390 + 0.394942i 0.929987 + 0.367593i \(0.119818\pi\)
−0.999626 + 0.0273498i \(0.991293\pi\)
\(132\) 38.1887 + 48.6608i 0.0251810 + 0.0320862i
\(133\) −250.028 + 209.799i −0.163009 + 0.136781i
\(134\) −3933.43 −2.53580
\(135\) −553.016 + 541.056i −0.352563 + 0.344939i
\(136\) −4302.58 −2.71282
\(137\) 1255.95 1053.87i 0.783235 0.657212i −0.160826 0.986983i \(-0.551416\pi\)
0.944061 + 0.329770i \(0.106971\pi\)
\(138\) 4419.32 630.895i 2.72607 0.389169i
\(139\) −175.231 + 993.787i −0.106928 + 0.606416i 0.883505 + 0.468421i \(0.155177\pi\)
−0.990433 + 0.137995i \(0.955934\pi\)
\(140\) −2573.53 + 936.690i −1.55359 + 0.565462i
\(141\) −512.951 107.866i −0.306371 0.0644253i
\(142\) −178.266 1011.00i −0.105350 0.597471i
\(143\) −0.485272 0.840516i −0.000283780 0.000491521i
\(144\) 2166.74 + 4393.87i 1.25390 + 2.54275i
\(145\) 194.456 336.808i 0.111370 0.192899i
\(146\) −3999.33 1455.64i −2.26703 0.825133i
\(147\) 44.7738 1367.38i 0.0251217 0.767209i
\(148\) 1244.83 + 1044.54i 0.691382 + 0.580138i
\(149\) −214.323 179.838i −0.117839 0.0988787i 0.581964 0.813215i \(-0.302284\pi\)
−0.699803 + 0.714336i \(0.746729\pi\)
\(150\) −2215.25 1377.55i −1.20583 0.749845i
\(151\) 2113.60 + 769.286i 1.13909 + 0.414594i 0.841583 0.540127i \(-0.181624\pi\)
0.297503 + 0.954721i \(0.403846\pi\)
\(152\) 428.073 741.445i 0.228430 0.395652i
\(153\) −1726.77 + 503.278i −0.912423 + 0.265932i
\(154\) 38.5668 + 66.7996i 0.0201805 + 0.0349537i
\(155\) −133.400 756.547i −0.0691285 0.392047i
\(156\) −53.6108 163.785i −0.0275148 0.0840594i
\(157\) 2184.51 795.097i 1.11047 0.404176i 0.279301 0.960204i \(-0.409897\pi\)
0.831164 + 0.556027i \(0.187675\pi\)
\(158\) 1081.60 6134.05i 0.544603 3.08860i
\(159\) 724.838 1805.33i 0.361531 0.900451i
\(160\) 1885.43 1582.06i 0.931601 0.781706i
\(161\) 3985.73 1.95105
\(162\) 2613.87 + 2852.72i 1.26769 + 1.38352i
\(163\) −408.542 −0.196316 −0.0981579 0.995171i \(-0.531295\pi\)
−0.0981579 + 0.995171i \(0.531295\pi\)
\(164\) 2640.67 2215.79i 1.25733 1.05502i
\(165\) 6.30141 15.6947i 0.00297312 0.00740503i
\(166\) −1105.21 + 6267.98i −0.516755 + 2.93066i
\(167\) −2410.35 + 877.297i −1.11688 + 0.406511i −0.833512 0.552501i \(-0.813673\pi\)
−0.283366 + 0.959012i \(0.591451\pi\)
\(168\) 2570.72 + 7853.74i 1.18057 + 3.60672i
\(169\) −381.036 2160.96i −0.173434 0.983596i
\(170\) 974.863 + 1688.51i 0.439815 + 0.761782i
\(171\) 85.0722 347.639i 0.0380447 0.155465i
\(172\) 4900.71 8488.28i 2.17253 3.76294i
\(173\) 1261.38 + 459.103i 0.554339 + 0.201763i 0.603973 0.797005i \(-0.293583\pi\)
−0.0496345 + 0.998767i \(0.515806\pi\)
\(174\) −1651.65 1027.08i −0.719607 0.447488i
\(175\) −1784.18 1497.10i −0.770693 0.646689i
\(176\) −82.0384 68.8384i −0.0351357 0.0294823i
\(177\) 17.6932 540.346i 0.00751358 0.229463i
\(178\) −6927.54 2521.42i −2.91709 1.06173i
\(179\) −1609.90 + 2788.42i −0.672231 + 1.16434i 0.305039 + 0.952340i \(0.401330\pi\)
−0.977270 + 0.211998i \(0.932003\pi\)
\(180\) 1668.46 2496.94i 0.690886 1.03395i
\(181\) 1049.46 + 1817.73i 0.430973 + 0.746467i 0.996957 0.0779490i \(-0.0248371\pi\)
−0.565985 + 0.824416i \(0.691504\pi\)
\(182\) −37.3166 211.633i −0.0151983 0.0861938i
\(183\) −2508.96 527.597i −1.01348 0.213121i
\(184\) −9824.41 + 3575.79i −3.93622 + 1.43267i
\(185\) 77.1520 437.550i 0.0306612 0.173888i
\(186\) −3803.31 + 542.955i −1.49931 + 0.214040i
\(187\) 30.1191 25.2729i 0.0117782 0.00988309i
\(188\) 2034.61 0.789305
\(189\) 1950.38 + 2851.26i 0.750630 + 1.09735i
\(190\) −387.966 −0.148137
\(191\) −36.5290 + 30.6515i −0.0138385 + 0.0116118i −0.649681 0.760207i \(-0.725097\pi\)
0.635842 + 0.771819i \(0.280653\pi\)
\(192\) −2942.50 3749.40i −1.10603 1.40932i
\(193\) 223.438 1267.18i 0.0833338 0.472610i −0.914370 0.404880i \(-0.867313\pi\)
0.997704 0.0677297i \(-0.0215755\pi\)
\(194\) −2197.16 + 799.702i −0.813130 + 0.295955i
\(195\) −31.4525 + 35.0846i −0.0115506 + 0.0128844i
\(196\) 922.151 + 5229.78i 0.336061 + 1.90589i
\(197\) 619.477 + 1072.97i 0.224040 + 0.388049i 0.956031 0.293266i \(-0.0947420\pi\)
−0.731991 + 0.681314i \(0.761409\pi\)
\(198\) −77.4161 34.0653i −0.0277865 0.0122269i
\(199\) −2079.04 + 3601.00i −0.740598 + 1.28275i 0.211626 + 0.977351i \(0.432124\pi\)
−0.952224 + 0.305402i \(0.901209\pi\)
\(200\) 5740.95 + 2089.53i 2.02973 + 0.738762i
\(201\) 3396.23 1815.29i 1.19180 0.637018i
\(202\) 5001.91 + 4197.10i 1.74224 + 1.46192i
\(203\) −1330.26 1116.22i −0.459930 0.385927i
\(204\) 6157.14 3291.00i 2.11317 1.12949i
\(205\) −885.659 322.354i −0.301742 0.109825i
\(206\) 1438.08 2490.83i 0.486388 0.842448i
\(207\) −3524.60 + 2584.26i −1.18346 + 0.867722i
\(208\) 149.184 + 258.394i 0.0497309 + 0.0861365i
\(209\) 1.35856 + 7.70475i 0.000449633 + 0.00254999i
\(210\) 2499.67 2788.33i 0.821398 0.916254i
\(211\) 4982.22 1813.38i 1.62555 0.591650i 0.641119 0.767442i \(-0.278471\pi\)
0.984427 + 0.175791i \(0.0562484\pi\)
\(212\) −1311.26 + 7436.53i −0.424801 + 2.40917i
\(213\) 620.496 + 790.650i 0.199604 + 0.254340i
\(214\) 1794.47 1505.74i 0.573212 0.480982i
\(215\) −2679.84 −0.850063
\(216\) −7365.49 5278.29i −2.32018 1.66270i
\(217\) −3430.16 −1.07306
\(218\) −1715.43 + 1439.42i −0.532953 + 0.447201i
\(219\) 4124.91 588.866i 1.27276 0.181698i
\(220\) −11.3995 + 64.6498i −0.00349343 + 0.0198122i
\(221\) −102.935 + 37.4652i −0.0313309 + 0.0114035i
\(222\) −2174.40 457.244i −0.657370 0.138235i
\(223\) −283.000 1604.98i −0.0849826 0.481960i −0.997360 0.0726109i \(-0.976867\pi\)
0.912378 0.409349i \(-0.134244\pi\)
\(224\) −5494.85 9517.37i −1.63902 2.83887i
\(225\) 2548.45 + 167.073i 0.755096 + 0.0495031i
\(226\) 928.427 1608.08i 0.273266 0.473310i
\(227\) −1793.52 652.789i −0.524406 0.190868i 0.0662327 0.997804i \(-0.478902\pi\)
−0.590639 + 0.806936i \(0.701124\pi\)
\(228\) −45.4641 + 1388.46i −0.0132059 + 0.403303i
\(229\) −3785.81 3176.67i −1.09246 0.916682i −0.0955640 0.995423i \(-0.530465\pi\)
−0.996895 + 0.0787412i \(0.974910\pi\)
\(230\) 3629.27 + 3045.32i 1.04047 + 0.873055i
\(231\) −64.1277 39.8779i −0.0182653 0.0113583i
\(232\) 4280.36 + 1557.92i 1.21129 + 0.440874i
\(233\) 629.126 1089.68i 0.176890 0.306383i −0.763924 0.645307i \(-0.776730\pi\)
0.940814 + 0.338924i \(0.110063\pi\)
\(234\) 170.217 + 162.953i 0.0475532 + 0.0455237i
\(235\) −278.145 481.762i −0.0772093 0.133730i
\(236\) 364.405 + 2066.64i 0.100512 + 0.570030i
\(237\) 1897.00 + 5795.46i 0.519930 + 1.58842i
\(238\) 8180.68 2977.53i 2.22805 0.810942i
\(239\) −1043.33 + 5917.00i −0.282373 + 1.60142i 0.432146 + 0.901804i \(0.357756\pi\)
−0.714520 + 0.699615i \(0.753355\pi\)
\(240\) −1937.20 + 4824.91i −0.521023 + 1.29769i
\(241\) −1111.66 + 932.791i −0.297129 + 0.249321i −0.779148 0.626840i \(-0.784348\pi\)
0.482019 + 0.876161i \(0.339904\pi\)
\(242\) −7062.40 −1.87599
\(243\) −3573.42 1256.80i −0.943355 0.331785i
\(244\) 9951.73 2.61104
\(245\) 1112.26 933.295i 0.290039 0.243372i
\(246\) −1756.19 + 4374.07i −0.455164 + 1.13366i
\(247\) 3.78500 21.4658i 0.000975035 0.00552970i
\(248\) 8454.99 3077.37i 2.16489 0.787955i
\(249\) −1938.42 5922.00i −0.493343 1.50720i
\(250\) −1116.04 6329.40i −0.282339 1.60123i
\(251\) −637.873 1104.83i −0.160407 0.277833i 0.774608 0.632442i \(-0.217947\pi\)
−0.935015 + 0.354609i \(0.884614\pi\)
\(252\) −9686.04 9272.65i −2.42128 2.31794i
\(253\) 47.7694 82.7390i 0.0118705 0.0205603i
\(254\) 4984.27 + 1814.13i 1.23126 + 0.448143i
\(255\) −1620.98 1008.00i −0.398076 0.247544i
\(256\) −344.952 289.449i −0.0842168 0.0706663i
\(257\) −6077.94 5099.99i −1.47522 1.23786i −0.911115 0.412151i \(-0.864778\pi\)
−0.564103 0.825704i \(-0.690778\pi\)
\(258\) −438.601 + 13394.8i −0.105838 + 3.23225i
\(259\) −1864.20 678.514i −0.447243 0.162783i
\(260\) 91.4480 158.393i 0.0218129 0.0377811i
\(261\) 1900.08 + 124.567i 0.450621 + 0.0295422i
\(262\) 1595.69 + 2763.81i 0.376266 + 0.651713i
\(263\) −668.962 3793.87i −0.156844 0.889507i −0.957081 0.289822i \(-0.906404\pi\)
0.800237 0.599685i \(-0.204707\pi\)
\(264\) 193.845 + 40.7627i 0.0451906 + 0.00950292i
\(265\) 1940.10 706.140i 0.449734 0.163690i
\(266\) −300.811 + 1705.98i −0.0693380 + 0.393235i
\(267\) 7145.06 1020.02i 1.63772 0.233798i
\(268\) −11450.6 + 9608.21i −2.60992 + 2.18998i
\(269\) 5070.70 1.14932 0.574658 0.818393i \(-0.305135\pi\)
0.574658 + 0.818393i \(0.305135\pi\)
\(270\) −402.576 + 4086.47i −0.0907407 + 0.921090i
\(271\) 5606.04 1.25661 0.628307 0.777965i \(-0.283748\pi\)
0.628307 + 0.777965i \(0.283748\pi\)
\(272\) −9259.29 + 7769.47i −2.06407 + 1.73196i
\(273\) 129.889 + 165.508i 0.0287958 + 0.0366922i
\(274\) 1511.05 8569.56i 0.333159 1.88944i
\(275\) −52.4617 + 19.0945i −0.0115039 + 0.00418706i
\(276\) 11324.0 12631.7i 2.46965 2.75485i
\(277\) 106.932 + 606.440i 0.0231946 + 0.131543i 0.994206 0.107489i \(-0.0342810\pi\)
−0.971012 + 0.239032i \(0.923170\pi\)
\(278\) 2677.93 + 4638.32i 0.577740 + 1.00068i
\(279\) 3033.31 2224.04i 0.650893 0.477240i
\(280\) −4385.08 + 7595.18i −0.935923 + 1.62107i
\(281\) −3650.34 1328.61i −0.774950 0.282059i −0.0758846 0.997117i \(-0.524178\pi\)
−0.699065 + 0.715058i \(0.746400\pi\)
\(282\) −2453.53 + 1311.42i −0.518106 + 0.276928i
\(283\) 1962.55 + 1646.78i 0.412232 + 0.345904i 0.825199 0.564842i \(-0.191063\pi\)
−0.412967 + 0.910746i \(0.635507\pi\)
\(284\) −2988.51 2507.66i −0.624421 0.523951i
\(285\) 334.980 179.047i 0.0696227 0.0372135i
\(286\) −4.84049 1.76179i −0.00100078 0.000364256i
\(287\) −2104.17 + 3644.53i −0.432771 + 0.749582i
\(288\) 11030.0 + 4853.51i 2.25676 + 0.993040i
\(289\) 237.700 + 411.708i 0.0483817 + 0.0837996i
\(290\) −358.434 2032.78i −0.0725793 0.411618i
\(291\) 1528.02 1704.48i 0.307816 0.343362i
\(292\) −15198.1 + 5531.67i −3.04590 + 1.10862i
\(293\) 623.494 3536.01i 0.124317 0.705038i −0.857394 0.514661i \(-0.827918\pi\)
0.981711 0.190377i \(-0.0609710\pi\)
\(294\) −4482.89 5712.20i −0.889277 1.13314i
\(295\) 439.530 368.809i 0.0867472 0.0727895i
\(296\) 5203.79 1.02184
\(297\) 82.5644 6.31485i 0.0161309 0.00123375i
\(298\) −1484.92 −0.288655
\(299\) −203.902 + 171.094i −0.0394380 + 0.0330924i
\(300\) −9813.76 + 1401.00i −1.88866 + 0.269622i
\(301\) −2077.83 + 11783.9i −0.397887 + 2.25653i
\(302\) 11217.9 4082.97i 2.13747 0.777975i
\(303\) −6255.76 1315.49i −1.18609 0.249416i
\(304\) −417.651 2368.62i −0.0787958 0.446873i
\(305\) −1360.47 2356.40i −0.255411 0.442384i
\(306\) −5303.65 + 7937.21i −0.990815 + 1.48281i
\(307\) −1517.43 + 2628.27i −0.282099 + 0.488610i −0.971902 0.235387i \(-0.924364\pi\)
0.689802 + 0.723998i \(0.257697\pi\)
\(308\) 275.443 + 100.253i 0.0509573 + 0.0185469i
\(309\) −92.1529 + 2814.33i −0.0169657 + 0.518127i
\(310\) −3123.39 2620.84i −0.572247 0.480173i
\(311\) 7393.69 + 6204.04i 1.34810 + 1.13119i 0.979466 + 0.201609i \(0.0646172\pi\)
0.368629 + 0.929577i \(0.379827\pi\)
\(312\) −468.649 291.429i −0.0850385 0.0528812i
\(313\) −4530.47 1648.96i −0.818138 0.297778i −0.101157 0.994870i \(-0.532254\pi\)
−0.716981 + 0.697093i \(0.754477\pi\)
\(314\) 6169.17 10685.3i 1.10875 1.92041i
\(315\) −871.459 + 3561.12i −0.155877 + 0.636973i
\(316\) −11835.0 20498.8i −2.10687 3.64921i
\(317\) 1296.22 + 7351.21i 0.229662 + 1.30248i 0.853570 + 0.520979i \(0.174433\pi\)
−0.623908 + 0.781498i \(0.714456\pi\)
\(318\) −3212.00 9812.88i −0.566415 1.73044i
\(319\) −39.1146 + 14.2366i −0.00686520 + 0.00249873i
\(320\) 878.353 4981.39i 0.153442 0.870212i
\(321\) −854.489 + 2128.25i −0.148576 + 0.370053i
\(322\) 16205.0 13597.6i 2.80457 2.35331i
\(323\) 883.014 0.152112
\(324\) 14577.6 + 1919.63i 2.49959 + 0.329154i
\(325\) 155.541 0.0265473
\(326\) −1661.04 + 1393.77i −0.282197 + 0.236791i
\(327\) 816.855 2034.51i 0.138141 0.344063i
\(328\) 1916.88 10871.2i 0.322689 1.83006i
\(329\) −2334.09 + 849.539i −0.391132 + 0.142361i
\(330\) −27.9237 85.3087i −0.00465802 0.0142306i
\(331\) 1102.47 + 6252.40i 0.183073 + 1.03826i 0.928407 + 0.371565i \(0.121179\pi\)
−0.745334 + 0.666691i \(0.767710\pi\)
\(332\) 12093.4 + 20946.4i 1.99914 + 3.46261i
\(333\) 2088.45 608.694i 0.343683 0.100169i
\(334\) −6806.96 + 11790.0i −1.11515 + 1.93150i
\(335\) 3840.44 + 1397.80i 0.626345 + 0.227971i
\(336\) 19714.3 + 12259.4i 3.20091 + 1.99049i
\(337\) 3998.24 + 3354.92i 0.646285 + 0.542297i 0.905941 0.423404i \(-0.139165\pi\)
−0.259656 + 0.965701i \(0.583609\pi\)
\(338\) −8921.49 7486.02i −1.43570 1.20469i
\(339\) −59.4941 + 1816.93i −0.00953178 + 0.291098i
\(340\) 6962.46 + 2534.13i 1.11057 + 0.404213i
\(341\) −41.1109 + 71.2061i −0.00652867 + 0.0113080i
\(342\) −840.114 1703.65i −0.132831 0.269365i
\(343\) 981.306 + 1699.67i 0.154477 + 0.267562i
\(344\) −5450.32 30910.3i −0.854249 4.84469i
\(345\) −4539.03 954.492i −0.708329 0.148951i
\(346\) 6694.72 2436.68i 1.04020 0.378603i
\(347\) 1759.15 9976.62i 0.272150 1.54344i −0.475723 0.879595i \(-0.657814\pi\)
0.747873 0.663842i \(-0.231075\pi\)
\(348\) −7316.99 + 1044.56i −1.12710 + 0.160903i
\(349\) −1117.58 + 937.760i −0.171411 + 0.143831i −0.724458 0.689319i \(-0.757910\pi\)
0.553046 + 0.833151i \(0.313465\pi\)
\(350\) −12361.6 −1.88786
\(351\) −222.173 62.1418i −0.0337855 0.00944981i
\(352\) −263.426 −0.0398882
\(353\) 1692.93 1420.53i 0.255256 0.214185i −0.506176 0.862430i \(-0.668941\pi\)
0.761432 + 0.648245i \(0.224497\pi\)
\(354\) −1771.50 2257.28i −0.265972 0.338907i
\(355\) −185.221 + 1050.44i −0.0276916 + 0.157047i
\(356\) −26325.8 + 9581.82i −3.91929 + 1.42650i
\(357\) −5689.28 + 6346.28i −0.843442 + 0.940842i
\(358\) 2967.47 + 16829.4i 0.438089 + 2.48452i
\(359\) −3679.17 6372.51i −0.540889 0.936848i −0.998853 0.0478770i \(-0.984754\pi\)
0.457964 0.888971i \(-0.348579\pi\)
\(360\) −1046.80 9559.63i −0.153254 1.39955i
\(361\) 3341.65 5787.90i 0.487192 0.843841i
\(362\) 10468.2 + 3810.11i 1.51988 + 0.553191i
\(363\) 6097.87 3259.32i 0.881694 0.471267i
\(364\) −625.588 524.931i −0.0900817 0.0755875i
\(365\) 3387.50 + 2842.45i 0.485780 + 0.407618i
\(366\) −12000.8 + 6414.42i −1.71391 + 0.916086i
\(367\) 7552.26 + 2748.80i 1.07418 + 0.390970i 0.817739 0.575589i \(-0.195227\pi\)
0.256443 + 0.966559i \(0.417449\pi\)
\(368\) −14685.4 + 25435.9i −2.08024 + 3.60309i
\(369\) −502.307 4587.17i −0.0708646 0.647151i
\(370\) −1179.06 2042.19i −0.165666 0.286941i
\(371\) −1600.81 9078.64i −0.224016 1.27046i
\(372\) −9745.55 + 10871.0i −1.35829 + 1.51514i
\(373\) −1059.31 + 385.556i −0.147048 + 0.0535209i −0.414495 0.910051i \(-0.636042\pi\)
0.267448 + 0.963572i \(0.413820\pi\)
\(374\) 36.2365 205.507i 0.00501001 0.0284132i
\(375\) 3884.66 + 4949.91i 0.534941 + 0.681633i
\(376\) 4991.13 4188.05i 0.684569 0.574421i
\(377\) 115.969 0.0158427
\(378\) 17657.1 + 4938.69i 2.40260 + 0.672007i
\(379\) −2317.62 −0.314111 −0.157056 0.987590i \(-0.550200\pi\)
−0.157056 + 0.987590i \(0.550200\pi\)
\(380\) −1129.41 + 947.684i −0.152467 + 0.127935i
\(381\) −5140.77 + 733.889i −0.691259 + 0.0986832i
\(382\) −43.9483 + 249.243i −0.00588636 + 0.0333832i
\(383\) 6329.08 2303.60i 0.844389 0.307333i 0.116639 0.993174i \(-0.462788\pi\)
0.727751 + 0.685842i \(0.240566\pi\)
\(384\) −6598.90 1387.65i −0.876949 0.184410i
\(385\) −13.9167 78.9256i −0.00184224 0.0104478i
\(386\) −3414.64 5914.33i −0.450261 0.779875i
\(387\) −5803.02 11767.8i −0.762232 1.54571i
\(388\) −4442.73 + 7695.03i −0.581303 + 1.00685i
\(389\) −4292.23 1562.24i −0.559447 0.203622i 0.0467920 0.998905i \(-0.485100\pi\)
−0.606239 + 0.795283i \(0.707322\pi\)
\(390\) −8.18437 + 249.948i −0.00106265 + 0.0324529i
\(391\) −8260.27 6931.19i −1.06839 0.896484i
\(392\) 13027.1 + 10931.1i 1.67849 + 1.40842i
\(393\) −2653.26 1649.93i −0.340558 0.211776i
\(394\) 6179.15 + 2249.03i 0.790105 + 0.287575i
\(395\) −3235.85 + 5604.66i −0.412186 + 0.713927i
\(396\) −308.577 + 89.9370i −0.0391581 + 0.0114129i
\(397\) −5878.74 10182.3i −0.743188 1.28724i −0.951036 0.309079i \(-0.899979\pi\)
0.207848 0.978161i \(-0.433354\pi\)
\(398\) 3832.22 + 21733.6i 0.482643 + 2.73720i
\(399\) −527.588 1611.82i −0.0661965 0.202235i
\(400\) 16127.9 5870.09i 2.01599 0.733761i
\(401\) −157.082 + 890.856i −0.0195618 + 0.110941i −0.993025 0.117902i \(-0.962383\pi\)
0.973463 + 0.228843i \(0.0734942\pi\)
\(402\) 7615.26 18967.0i 0.944813 2.35321i
\(403\) 175.480 147.246i 0.0216906 0.0182006i
\(404\) 24813.3 3.05572
\(405\) −1538.32 3714.15i −0.188740 0.455698i
\(406\) −9216.58 −1.12663
\(407\) −36.4278 + 30.5666i −0.00443651 + 0.00372267i
\(408\) 8329.94 20747.1i 1.01077 2.51748i
\(409\) −398.754 + 2261.45i −0.0482081 + 0.273402i −0.999378 0.0352662i \(-0.988772\pi\)
0.951170 + 0.308668i \(0.0998832\pi\)
\(410\) −4700.62 + 1710.88i −0.566212 + 0.206084i
\(411\) 2650.20 + 8096.54i 0.318065 + 0.971710i
\(412\) −1897.96 10763.9i −0.226956 1.28713i
\(413\) −1280.96 2218.68i −0.152619 0.264344i
\(414\) −5513.77 + 22531.4i −0.654558 + 2.67478i
\(415\) 3306.51 5727.04i 0.391109 0.677420i
\(416\) 689.656 + 251.014i 0.0812816 + 0.0295841i
\(417\) −4452.79 2768.97i −0.522912 0.325173i
\(418\) 31.8090 + 26.6909i 0.00372207 + 0.00312319i
\(419\) 6485.76 + 5442.20i 0.756205 + 0.634532i 0.937136 0.348964i \(-0.113467\pi\)
−0.180931 + 0.983496i \(0.557911\pi\)
\(420\) 465.723 14223.1i 0.0541071 1.65242i
\(421\) 1942.20 + 706.902i 0.224838 + 0.0818344i 0.451983 0.892027i \(-0.350717\pi\)
−0.227145 + 0.973861i \(0.572939\pi\)
\(422\) 14070.0 24370.0i 1.62303 2.81117i
\(423\) 1513.22 2264.62i 0.173937 0.260307i
\(424\) 12090.7 + 20941.8i 1.38485 + 2.39864i
\(425\) 1094.18 + 6205.39i 0.124883 + 0.708248i
\(426\) 5220.16 + 1097.72i 0.593703 + 0.124847i
\(427\) −11416.5 + 4155.28i −1.29388 + 0.470932i
\(428\) 1545.81 8766.71i 0.174578 0.990081i
\(429\) 4.99248 0.712719i 0.000561863 8.02107e-5i
\(430\) −10895.6 + 9142.49i −1.22194 + 1.02533i
\(431\) 2187.91 0.244520 0.122260 0.992498i \(-0.460986\pi\)
0.122260 + 0.992498i \(0.460986\pi\)
\(432\) −25382.2 + 1941.33i −2.82685 + 0.216209i
\(433\) 9845.01 1.09266 0.546329 0.837571i \(-0.316025\pi\)
0.546329 + 0.837571i \(0.316025\pi\)
\(434\) −13946.2 + 11702.3i −1.54249 + 1.29430i
\(435\) 1247.62 + 1589.74i 0.137514 + 0.175223i
\(436\) −1477.72 + 8380.59i −0.162317 + 0.920545i
\(437\) 2016.26 733.857i 0.220711 0.0803322i
\(438\) 14761.9 16466.6i 1.61039 1.79636i
\(439\) −2617.18 14842.7i −0.284535 1.61368i −0.706941 0.707273i \(-0.749925\pi\)
0.422405 0.906407i \(-0.361186\pi\)
\(440\) 105.111 + 182.058i 0.0113886 + 0.0197256i
\(441\) 6506.84 + 2863.20i 0.702607 + 0.309167i
\(442\) −290.693 + 503.495i −0.0312825 + 0.0541828i
\(443\) −6409.68 2332.93i −0.687433 0.250205i −0.0253975 0.999677i \(-0.508085\pi\)
−0.662036 + 0.749472i \(0.730307\pi\)
\(444\) −7446.81 + 3980.33i −0.795968 + 0.425446i
\(445\) 5867.73 + 4923.61i 0.625073 + 0.524498i
\(446\) −6626.12 5559.97i −0.703488 0.590297i
\(447\) 1282.12 685.294i 0.135665 0.0725130i
\(448\) −21223.4 7724.68i −2.23819 0.814636i
\(449\) −7469.86 + 12938.2i −0.785132 + 1.35989i 0.143788 + 0.989608i \(0.454072\pi\)
−0.928920 + 0.370280i \(0.879262\pi\)
\(450\) 10931.4 8014.96i 1.14513 0.839619i
\(451\) 50.4375 + 87.3602i 0.00526609 + 0.00912114i
\(452\) −1225.32 6949.16i −0.127510 0.723144i
\(453\) −7801.50 + 8702.42i −0.809153 + 0.902594i
\(454\) −9519.08 + 3464.66i −0.984036 + 0.358160i
\(455\) −38.7726 + 219.890i −0.00399492 + 0.0226563i
\(456\) 2746.49 + 3499.64i 0.282053 + 0.359398i
\(457\) −7676.36 + 6441.23i −0.785744 + 0.659318i −0.944688 0.327970i \(-0.893635\pi\)
0.158944 + 0.987288i \(0.449191\pi\)
\(458\) −26229.7 −2.67605
\(459\) 916.268 9300.85i 0.0931758 0.945809i
\(460\) 18004.0 1.82487
\(461\) −9139.76 + 7669.17i −0.923387 + 0.774813i −0.974618 0.223873i \(-0.928130\pi\)
0.0512315 + 0.998687i \(0.483685\pi\)
\(462\) −396.775 + 56.6430i −0.0399559 + 0.00570405i
\(463\) 1745.63 9899.97i 0.175219 0.993716i −0.762672 0.646786i \(-0.776113\pi\)
0.937891 0.346931i \(-0.112776\pi\)
\(464\) 12024.7 4376.64i 1.20309 0.437889i
\(465\) 3906.34 + 821.446i 0.389575 + 0.0819218i
\(466\) −1159.65 6576.69i −0.115278 0.653775i
\(467\) −1878.24 3253.20i −0.186112 0.322356i 0.757838 0.652442i \(-0.226256\pi\)
−0.943951 + 0.330086i \(0.892922\pi\)
\(468\) 893.564 + 58.5809i 0.0882586 + 0.00578612i
\(469\) 9124.21 15803.6i 0.898330 1.55595i
\(470\) −2774.44 1009.81i −0.272288 0.0991048i
\(471\) −395.323 + 12073.1i −0.0386742 + 1.18110i
\(472\) 5147.92 + 4319.62i 0.502017 + 0.421242i
\(473\) 219.718 + 184.365i 0.0213586 + 0.0179220i
\(474\) 27484.4 + 17091.2i 2.66329 + 1.65617i
\(475\) −1178.21 428.833i −0.113811 0.0414236i
\(476\) 16541.6 28650.9i 1.59282 2.75884i
\(477\) 7301.99 + 6990.35i 0.700912 + 0.670998i
\(478\) 15944.4 + 27616.5i 1.52569 + 2.64257i
\(479\) 1275.96 + 7236.35i 0.121712 + 0.690266i 0.983206 + 0.182498i \(0.0584182\pi\)
−0.861494 + 0.507768i \(0.830471\pi\)
\(480\) 3978.46 + 12154.5i 0.378315 + 1.15578i
\(481\) 124.495 45.3126i 0.0118015 0.00429538i
\(482\) −1337.44 + 7585.02i −0.126388 + 0.716780i
\(483\) −7716.51 + 19219.2i −0.726942 + 1.81057i
\(484\) −20559.4 + 17251.4i −1.93082 + 1.62015i
\(485\) 2429.40 0.227451
\(486\) −18816.4 + 7081.17i −1.75623 + 0.660922i
\(487\) −5509.24 −0.512623 −0.256311 0.966594i \(-0.582507\pi\)
−0.256311 + 0.966594i \(0.582507\pi\)
\(488\) 24412.7 20484.7i 2.26457 1.90020i
\(489\) 790.951 1969.99i 0.0731453 0.182180i
\(490\) 1338.17 7589.12i 0.123372 0.699676i
\(491\) 15033.1 5471.62i 1.38174 0.502914i 0.459037 0.888417i \(-0.348194\pi\)
0.922706 + 0.385503i \(0.125972\pi\)
\(492\) 5572.12 + 17023.2i 0.510590 + 1.55989i
\(493\) 815.801 + 4626.64i 0.0745271 + 0.422664i
\(494\) −57.8434 100.188i −0.00526821 0.00912481i
\(495\) 63.4802 + 60.7709i 0.00576409 + 0.00551808i
\(496\) 12638.4 21890.4i 1.14412 1.98167i
\(497\) 4475.45 + 1628.93i 0.403927 + 0.147017i
\(498\) −28084.5 17464.4i −2.52711 1.57148i
\(499\) −939.908 788.677i −0.0843208 0.0707535i 0.599653 0.800260i \(-0.295305\pi\)
−0.683974 + 0.729507i \(0.739750\pi\)
\(500\) −18709.8 15699.4i −1.67345 1.40419i
\(501\) 436.193 13321.2i 0.0388975 1.18792i
\(502\) −6362.65 2315.82i −0.565695 0.205896i
\(503\) −3825.04 + 6625.16i −0.339066 + 0.587279i −0.984257 0.176742i \(-0.943444\pi\)
0.645192 + 0.764021i \(0.276778\pi\)
\(504\) −42847.8 2809.05i −3.78689 0.248264i
\(505\) −3392.15 5875.38i −0.298909 0.517725i
\(506\) −88.0518 499.366i −0.00773593 0.0438726i
\(507\) 11157.9 + 2346.34i 0.977393 + 0.205531i
\(508\) 18941.1 6893.99i 1.65428 0.602109i
\(509\) −1655.28 + 9387.55i −0.144143 + 0.817477i 0.823908 + 0.566724i \(0.191789\pi\)
−0.968051 + 0.250753i \(0.919322\pi\)
\(510\) −10029.4 + 1431.78i −0.870802 + 0.124314i
\(511\) 15125.5 12691.8i 1.30942 1.09873i
\(512\) −12771.8 −1.10242
\(513\) 1511.61 + 1083.26i 0.130096 + 0.0932302i
\(514\) −42110.5 −3.61365
\(515\) −2289.23 + 1920.90i −0.195875 + 0.164359i
\(516\) 31442.6 + 40064.9i 2.68253 + 3.41813i
\(517\) −10.3389 + 58.6348i −0.000879505 + 0.00498792i
\(518\) −9894.21 + 3601.20i −0.839240 + 0.305458i
\(519\) −4655.86 + 5193.52i −0.393776 + 0.439249i
\(520\) −101.704 576.792i −0.00857695 0.0486423i
\(521\) −4385.63 7596.14i −0.368787 0.638758i 0.620589 0.784136i \(-0.286893\pi\)
−0.989376 + 0.145378i \(0.953560\pi\)
\(522\) 8150.26 5975.83i 0.683385 0.501063i
\(523\) −4920.98 + 8523.39i −0.411433 + 0.712623i −0.995047 0.0994084i \(-0.968305\pi\)
0.583614 + 0.812032i \(0.301638\pi\)
\(524\) 11396.4 + 4147.94i 0.950100 + 0.345808i
\(525\) 10673.3 5704.89i 0.887277 0.474251i
\(526\) −15662.9 13142.8i −1.29836 1.08945i
\(527\) 7108.88 + 5965.06i 0.587605 + 0.493059i
\(528\) 490.768 262.316i 0.0404507 0.0216209i
\(529\) −13188.5 4800.21i −1.08395 0.394527i
\(530\) 5478.95 9489.82i 0.449038 0.777757i
\(531\) 2571.30 + 1131.45i 0.210141 + 0.0924681i
\(532\) 3291.52 + 5701.08i 0.268243 + 0.464611i
\(533\) −48.8025 276.773i −0.00396598 0.0224922i
\(534\) 25570.3 28523.1i 2.07216 2.31145i
\(535\) −2287.13 + 832.447i −0.184825 + 0.0672707i
\(536\) −8312.05 + 47140.0i −0.669825 + 3.79876i
\(537\) −10329.0 13161.4i −0.830035 1.05765i
\(538\) 20616.3 17299.1i 1.65210 1.38628i
\(539\) −155.401 −0.0124185
\(540\) 8810.08 + 12879.5i 0.702084 + 1.02638i
\(541\) 3354.00 0.266543 0.133272 0.991080i \(-0.457452\pi\)
0.133272 + 0.991080i \(0.457452\pi\)
\(542\) 22792.8 19125.4i 1.80634 1.51570i
\(543\) −10796.9 + 1541.35i −0.853294 + 0.121815i
\(544\) −5162.84 + 29279.9i −0.406903 + 2.30766i
\(545\) 2186.40 795.783i 0.171844 0.0625461i
\(546\) 1092.74 + 229.788i 0.0856502 + 0.0180110i
\(547\) 2276.58 + 12911.1i 0.177951 + 1.00921i 0.934682 + 0.355486i \(0.115684\pi\)
−0.756730 + 0.653727i \(0.773204\pi\)
\(548\) −16534.1 28637.9i −1.28887 2.23239i
\(549\) 7401.50 11076.8i 0.575389 0.861102i
\(550\) −148.155 + 256.611i −0.0114861 + 0.0198944i
\(551\) −878.455 319.731i −0.0679191 0.0247205i
\(552\) 1777.89 54296.3i 0.137087 4.18660i
\(553\) 22136.2 + 18574.5i 1.70222 + 1.42833i
\(554\) 2503.68 + 2100.84i 0.192006 + 0.161112i
\(555\) 1960.50 + 1219.14i 0.149944 + 0.0932426i
\(556\) 19125.8 + 6961.21i 1.45884 + 0.530973i
\(557\) 4639.02 8035.01i 0.352893 0.611229i −0.633862 0.773446i \(-0.718531\pi\)
0.986755 + 0.162217i \(0.0518646\pi\)
\(558\) 4745.21 19390.8i 0.360001 1.47111i
\(559\) −399.548 692.038i −0.0302309 0.0523615i
\(560\) 4278.31 + 24263.5i 0.322842 + 1.83093i
\(561\) 63.5546 + 194.164i 0.00478303 + 0.0146125i
\(562\) −19374.1 + 7051.59i −1.45418 + 0.529277i
\(563\) 1049.89 5954.24i 0.0785928 0.445722i −0.919963 0.392004i \(-0.871782\pi\)
0.998556 0.0537174i \(-0.0171070\pi\)
\(564\) −3939.08 + 9810.92i −0.294087 + 0.732472i
\(565\) −1477.93 + 1240.13i −0.110048 + 0.0923413i
\(566\) 13597.4 1.00979
\(567\) −17524.8 + 3884.60i −1.29801 + 0.287721i
\(568\) −12492.9 −0.922872
\(569\) −2887.91 + 2423.25i −0.212773 + 0.178537i −0.742945 0.669352i \(-0.766572\pi\)
0.530172 + 0.847890i \(0.322127\pi\)
\(570\) 751.115 1870.77i 0.0551943 0.137470i
\(571\) 632.717 3588.31i 0.0463719 0.262988i −0.952804 0.303587i \(-0.901816\pi\)
0.999176 + 0.0405992i \(0.0129267\pi\)
\(572\) −18.3947 + 6.69512i −0.00134462 + 0.000489400i
\(573\) −77.0802 235.485i −0.00561967 0.0171685i
\(574\) 3878.55 + 21996.4i 0.282034 + 1.59950i
\(575\) 7655.60 + 13259.9i 0.555236 + 0.961697i
\(576\) 23776.4 6929.81i 1.71994 0.501288i
\(577\) 3282.13 5684.82i 0.236806 0.410160i −0.722990 0.690858i \(-0.757233\pi\)
0.959796 + 0.280699i \(0.0905661\pi\)
\(578\) 2371.00 + 862.975i 0.170624 + 0.0621021i
\(579\) 5677.77 + 3530.72i 0.407530 + 0.253423i
\(580\) −6008.92 5042.08i −0.430184 0.360967i
\(581\) −22619.5 18980.0i −1.61517 1.35529i
\(582\) 397.613 12143.0i 0.0283189 0.864851i
\(583\) −207.648 75.5776i −0.0147511 0.00536896i
\(584\) −25896.3 + 44853.7i −1.83493 + 3.17819i
\(585\) −108.285 219.589i −0.00765307 0.0155195i
\(586\) −9528.41 16503.7i −0.671698 1.16342i
\(587\) −3190.05 18091.6i −0.224305 1.27210i −0.864009 0.503477i \(-0.832054\pi\)
0.639703 0.768622i \(-0.279057\pi\)
\(588\) −27003.3 5678.41i −1.89388 0.398254i
\(589\) −1735.21 + 631.565i −0.121389 + 0.0441820i
\(590\) 528.802 2998.98i 0.0368990 0.209265i
\(591\) −6373.18 + 909.825i −0.443583 + 0.0633252i
\(592\) 11198.7 9396.86i 0.777475 0.652379i
\(593\) 16247.8 1.12516 0.562578 0.826744i \(-0.309810\pi\)
0.562578 + 0.826744i \(0.309810\pi\)
\(594\) 314.144 307.350i 0.0216994 0.0212302i
\(595\) −9045.38 −0.623234
\(596\) −4322.75 + 3627.22i −0.297092 + 0.249290i
\(597\) −13338.9 16996.8i −0.914450 1.16521i
\(598\) −245.316 + 1391.26i −0.0167755 + 0.0951384i
\(599\) −5360.21 + 1950.96i −0.365630 + 0.133078i −0.518300 0.855199i \(-0.673435\pi\)
0.152670 + 0.988277i \(0.451213\pi\)
\(600\) −21190.4 + 23637.5i −1.44183 + 1.60833i
\(601\) 585.293 + 3319.36i 0.0397248 + 0.225291i 0.998207 0.0598632i \(-0.0190664\pi\)
−0.958482 + 0.285154i \(0.907955\pi\)
\(602\) 31753.9 + 54999.4i 2.14982 + 3.72360i
\(603\) 2178.12 + 19891.1i 0.147098 + 1.34333i
\(604\) 22682.9 39287.8i 1.52807 2.64669i
\(605\) 6895.43 + 2509.73i 0.463371 + 0.168653i
\(606\) −29922.4 + 15993.5i −2.00580 + 1.07210i
\(607\) −5522.43 4633.87i −0.369273 0.309857i 0.439201 0.898389i \(-0.355262\pi\)
−0.808474 + 0.588532i \(0.799706\pi\)
\(608\) −4532.03 3802.82i −0.302299 0.253659i
\(609\) 7957.84 4253.47i 0.529504 0.283020i
\(610\) −13570.4 4939.22i −0.900737 0.327841i
\(611\) 82.9396 143.656i 0.00549162 0.00951176i
\(612\) 3948.80 + 36061.3i 0.260818 + 2.38185i
\(613\) 9836.59 + 17037.5i 0.648118 + 1.12257i 0.983572 + 0.180516i \(0.0577768\pi\)
−0.335454 + 0.942056i \(0.608890\pi\)
\(614\) 2797.04 + 15862.8i 0.183842 + 1.04262i
\(615\) 3269.06 3646.57i 0.214343 0.239096i
\(616\) 882.054 321.042i 0.0576932 0.0209986i
\(617\) −1416.01 + 8030.59i −0.0923929 + 0.523986i 0.903122 + 0.429384i \(0.141269\pi\)
−0.995515 + 0.0946026i \(0.969842\pi\)
\(618\) 9226.63 + 11756.8i 0.600565 + 0.765253i
\(619\) −7184.03 + 6028.12i −0.466479 + 0.391422i −0.845508 0.533962i \(-0.820702\pi\)
0.379029 + 0.925385i \(0.376258\pi\)
\(620\) −15494.4 −1.00366
\(621\) −5637.58 21998.8i −0.364297 1.42155i
\(622\) 51226.6 3.30225
\(623\) 26200.0 21984.4i 1.68488 1.41378i
\(624\) −1534.80 + 219.106i −0.0984636 + 0.0140565i
\(625\) 893.573 5067.71i 0.0571887 0.324333i
\(626\) −24045.4 + 8751.79i −1.53522 + 0.558773i
\(627\) −39.7826 8.36570i −0.00253391 0.000532845i
\(628\) −8141.98 46175.5i −0.517357 2.93408i
\(629\) 2683.55 + 4648.04i 0.170111 + 0.294642i
\(630\) 8605.92 + 17451.7i 0.544235 + 1.10364i
\(631\) −8967.18 + 15531.6i −0.565733 + 0.979879i 0.431248 + 0.902234i \(0.358074\pi\)
−0.996981 + 0.0776453i \(0.975260\pi\)
\(632\) −71227.5 25924.7i −4.48304 1.63169i
\(633\) −901.615 + 27535.1i −0.0566129 + 1.72894i
\(634\) 30349.4 + 25466.1i 1.90115 + 1.59525i
\(635\) −4221.75 3542.47i −0.263835 0.221384i
\(636\) −33320.4 20720.3i −2.07742 1.29184i
\(637\) 406.844 + 148.079i 0.0253057 + 0.00921053i
\(638\) −110.462 + 191.325i −0.00685458 + 0.0118725i
\(639\) −5013.82 + 1461.31i −0.310397 + 0.0904674i
\(640\) −3578.22 6197.66i −0.221002 0.382787i
\(641\) −2125.25 12052.9i −0.130955 0.742684i −0.977591 0.210512i \(-0.932487\pi\)
0.846636 0.532172i \(-0.178624\pi\)
\(642\) 3786.53 + 11568.1i 0.232776 + 0.711147i
\(643\) −23251.9 + 8462.99i −1.42607 + 0.519048i −0.935803 0.352523i \(-0.885324\pi\)
−0.490269 + 0.871571i \(0.663101\pi\)
\(644\) 13959.5 79168.1i 0.854162 4.84420i
\(645\) 5188.26 12922.2i 0.316725 0.788855i
\(646\) 3590.13 3012.48i 0.218656 0.183474i
\(647\) 625.543 0.0380102 0.0190051 0.999819i \(-0.493950\pi\)
0.0190051 + 0.999819i \(0.493950\pi\)
\(648\) 39711.8 25297.5i 2.40745 1.53361i
\(649\) −61.4096 −0.00371424
\(650\) 632.393 530.641i 0.0381608 0.0320207i
\(651\) 6640.91 16540.3i 0.399812 0.995798i
\(652\) −1430.86 + 8114.83i −0.0859462 + 0.487425i
\(653\) 2896.86 1054.37i 0.173603 0.0631863i −0.253756 0.967268i \(-0.581666\pi\)
0.427359 + 0.904082i \(0.359444\pi\)
\(654\) −3619.76 11058.6i −0.216428 0.661201i
\(655\) −575.799 3265.52i −0.0343486 0.194800i
\(656\) −15505.6 26856.5i −0.922855 1.59843i
\(657\) −5146.45 + 21030.4i −0.305604 + 1.24882i
\(658\) −6591.59 + 11417.0i −0.390527 + 0.676413i
\(659\) −14759.1 5371.89i −0.872434 0.317540i −0.133282 0.991078i \(-0.542552\pi\)
−0.739153 + 0.673538i \(0.764774\pi\)
\(660\) −289.672 180.133i −0.0170841 0.0106237i
\(661\) 18657.0 + 15655.1i 1.09784 + 0.921199i 0.997278 0.0737321i \(-0.0234910\pi\)
0.100564 + 0.994931i \(0.467935\pi\)
\(662\) 25812.9 + 21659.6i 1.51548 + 1.27164i
\(663\) 18.6277 568.886i 0.00109116 0.0333238i
\(664\) 72782.8 + 26490.8i 4.25379 + 1.54825i
\(665\) 899.946 1558.75i 0.0524788 0.0908960i
\(666\) 6414.55 9599.74i 0.373211 0.558532i
\(667\) 5707.90 + 9886.37i 0.331350 + 0.573916i
\(668\) 8983.72 + 50949.2i 0.520345 + 2.95102i
\(669\) 8287.11 + 1742.66i 0.478921 + 0.100710i
\(670\) 20383.0 7418.82i 1.17532 0.427782i
\(671\) −50.5698 + 286.795i −0.00290943 + 0.0165002i
\(672\) 56531.1 8070.29i 3.24514 0.463271i
\(673\) 590.488 495.479i 0.0338212 0.0283793i −0.625720 0.780047i \(-0.715195\pi\)
0.659542 + 0.751668i \(0.270750\pi\)
\(674\) 27701.5 1.58312
\(675\) −5739.51 + 11965.2i −0.327280 + 0.682281i
\(676\) −44257.5 −2.51806
\(677\) −20474.9 + 17180.5i −1.16235 + 0.975330i −0.999935 0.0113918i \(-0.996374\pi\)
−0.162418 + 0.986722i \(0.551929\pi\)
\(678\) 5956.73 + 7590.19i 0.337414 + 0.429940i
\(679\) 1883.65 10682.7i 0.106462 0.603777i
\(680\) 22295.9 8115.06i 1.25737 0.457644i
\(681\) 6620.07 7384.56i 0.372513 0.415531i
\(682\) 75.7783 + 429.760i 0.00425469 + 0.0241296i
\(683\) −10531.7 18241.5i −0.590023 1.02195i −0.994229 0.107282i \(-0.965785\pi\)
0.404205 0.914668i \(-0.367548\pi\)
\(684\) −6607.16 2907.34i −0.369344 0.162522i
\(685\) −4520.64 + 7829.99i −0.252153 + 0.436742i
\(686\) 9788.33 + 3562.66i 0.544782 + 0.198284i
\(687\) 22647.4 12105.1i 1.25772 0.672251i
\(688\) −67546.2 56678.0i −3.74299 3.14074i
\(689\) 471.611 + 395.728i 0.0260768 + 0.0218811i
\(690\) −21711.0 + 11604.5i −1.19786 + 0.640257i
\(691\) −7159.54 2605.86i −0.394156 0.143461i 0.137336 0.990525i \(-0.456146\pi\)
−0.531492 + 0.847064i \(0.678368\pi\)
\(692\) 13536.9 23446.6i 0.743636 1.28802i
\(693\) 316.445 232.020i 0.0173460 0.0127182i
\(694\) −26883.8 46564.0i −1.47045 2.54690i
\(695\) −966.325 5480.30i −0.0527407 0.299107i
\(696\) −15799.2 + 17623.7i −0.860444 + 0.959808i
\(697\) 10698.7 3894.00i 0.581407 0.211615i
\(698\) −1344.57 + 7625.42i −0.0729121 + 0.413505i
\(699\) 4036.43 + 5143.30i 0.218414 + 0.278309i
\(700\) −35985.7 + 30195.6i −1.94305 + 1.63041i
\(701\) −6230.42 −0.335692 −0.167846 0.985813i \(-0.553681\pi\)
−0.167846 + 0.985813i \(0.553681\pi\)
\(702\) −1115.30 + 505.307i −0.0599636 + 0.0271675i
\(703\) −1067.97 −0.0572962
\(704\) −414.720 + 347.991i −0.0222022 + 0.0186299i
\(705\) 2861.56 408.512i 0.152869 0.0218233i
\(706\) 2036.77 11551.1i 0.108576 0.615768i
\(707\) −28465.7 + 10360.7i −1.51423 + 0.551135i
\(708\) −10670.9 2243.93i −0.566435 0.119113i
\(709\) −2439.65 13835.9i −0.129228 0.732891i −0.978706 0.205266i \(-0.934194\pi\)
0.849478 0.527624i \(-0.176917\pi\)
\(710\) 2830.60 + 4902.75i 0.149621 + 0.259151i
\(711\) −31618.4 2072.86i −1.66777 0.109337i
\(712\) −44856.9 + 77694.5i −2.36107 + 4.08950i
\(713\) 21189.7 + 7712.42i 1.11299 + 0.405095i
\(714\) −1480.43 + 45211.9i −0.0775962 + 2.36977i
\(715\) 4.09997 + 3.44028i 0.000214448 + 0.000179943i
\(716\) 49747.7 + 41743.3i 2.59659 + 2.17880i
\(717\) −26511.9 16486.5i −1.38090 0.858714i
\(718\) −36699.0 13357.3i −1.90751 0.694278i
\(719\) −10439.3 + 18081.4i −0.541474 + 0.937861i 0.457345 + 0.889289i \(0.348800\pi\)
−0.998820 + 0.0485718i \(0.984533\pi\)
\(720\) −19515.3 18682.4i −1.01013 0.967015i
\(721\) 6671.70 + 11555.7i 0.344615 + 0.596890i
\(722\) −6159.55 34932.5i −0.317500 1.80063i
\(723\) −2345.72 7166.34i −0.120662 0.368629i
\(724\) 39780.9 14479.1i 2.04205 0.743246i
\(725\) 1158.39 6569.54i 0.0593399 0.336533i
\(726\) 13673.1 34055.0i 0.698973 1.74091i
\(727\) −7880.50 + 6612.52i −0.402024 + 0.337338i −0.821275 0.570532i \(-0.806737\pi\)
0.419251 + 0.907870i \(0.362293\pi\)
\(728\) −2615.16 −0.133138
\(729\) 12978.6 14797.9i 0.659380 0.751810i
\(730\) 23470.0 1.18995
\(731\) 24798.5 20808.4i 1.25473 1.05284i
\(732\) −19266.9 + 47987.3i −0.972848 + 2.42304i
\(733\) 6451.43 36587.9i 0.325087 1.84366i −0.183974 0.982931i \(-0.558896\pi\)
0.509061 0.860730i \(-0.329993\pi\)
\(734\) 40083.5 14589.2i 2.01568 0.733647i
\(735\) 2346.99 + 7170.21i 0.117782 + 0.359833i
\(736\) 12545.3 + 71148.0i 0.628296 + 3.56325i
\(737\) −218.709 378.815i −0.0109311 0.0189333i
\(738\) −17691.8 16936.7i −0.882443 0.844781i
\(739\) −15973.9 + 27667.7i −0.795143 + 1.37723i 0.127606 + 0.991825i \(0.459271\pi\)
−0.922748 + 0.385403i \(0.874063\pi\)
\(740\) −8420.81 3064.92i −0.418318 0.152255i
\(741\) 96.1804 + 59.8098i 0.00476825 + 0.00296514i
\(742\) −37481.0 31450.3i −1.85441 1.55603i
\(743\) 15622.7 + 13109.0i 0.771390 + 0.647273i 0.941065 0.338227i \(-0.109827\pi\)
−0.169674 + 0.985500i \(0.554272\pi\)
\(744\) −1530.07 + 46727.9i −0.0753966 + 2.30259i
\(745\) 1449.81 + 527.689i 0.0712980 + 0.0259504i
\(746\) −2991.53 + 5181.48i −0.146820 + 0.254300i
\(747\) 32308.8 + 2118.12i 1.58249 + 0.103746i
\(748\) −396.505 686.767i −0.0193819 0.0335704i
\(749\) 1887.15 + 10702.5i 0.0920625 + 0.522112i
\(750\) 32681.1 + 6872.36i 1.59113 + 0.334591i
\(751\) 10581.8 3851.45i 0.514161 0.187139i −0.0718916 0.997412i \(-0.522904\pi\)
0.586052 + 0.810273i \(0.300681\pi\)
\(752\) 3178.41 18025.7i 0.154129 0.874107i
\(753\) 6562.43 936.843i 0.317594 0.0453393i
\(754\) 471.503 395.638i 0.0227734 0.0191091i
\(755\) −12403.6 −0.597898
\(756\) 63465.3 28754.0i 3.05319 1.38330i
\(757\) 14283.0 0.685766 0.342883 0.939378i \(-0.388597\pi\)
0.342883 + 0.939378i \(0.388597\pi\)
\(758\) −9422.89 + 7906.75i −0.451524 + 0.378873i
\(759\) 306.485 + 390.530i 0.0146571 + 0.0186763i
\(760\) −819.841 + 4649.55i −0.0391300 + 0.221917i
\(761\) −29936.9 + 108