Properties

Label 38.4.e.a.23.1
Level $38$
Weight $4$
Character 38.23
Analytic conductor $2.242$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.24207258022\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + 5157591 x^{4} - 11890401 x^{3} - 56759508 x^{2} + 62864118 x + 272110107\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 23.1
Root \(5.05412 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 38.23
Dual form 38.4.e.a.5.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.87939 - 0.684040i) q^{2} +(-1.54081 - 8.73839i) q^{3} +(3.06418 + 2.57115i) q^{4} +(-15.3487 + 12.8791i) q^{5} +(-3.08163 + 17.4768i) q^{6} +(4.71270 - 8.16264i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-48.6136 + 17.6939i) q^{9} +O(q^{10})\) \(q+(-1.87939 - 0.684040i) q^{2} +(-1.54081 - 8.73839i) q^{3} +(3.06418 + 2.57115i) q^{4} +(-15.3487 + 12.8791i) q^{5} +(-3.08163 + 17.4768i) q^{6} +(4.71270 - 8.16264i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-48.6136 + 17.6939i) q^{9} +(37.6558 - 13.7056i) q^{10} +(-24.7562 - 42.8791i) q^{11} +(17.7464 - 30.7376i) q^{12} +(3.93183 - 22.2985i) q^{13} +(-14.4406 + 12.1171i) q^{14} +(136.192 + 114.278i) q^{15} +(2.77837 + 15.7569i) q^{16} +(30.4142 + 11.0699i) q^{17} +103.467 q^{18} +(-28.5348 - 77.7481i) q^{19} -80.1450 q^{20} +(-78.5897 - 28.6043i) q^{21} +(17.1955 + 97.5206i) q^{22} +(-0.237340 - 0.199152i) q^{23} +(-54.3781 + 45.6286i) q^{24} +(48.0052 - 272.251i) q^{25} +(-22.6425 + 39.2180i) q^{26} +(109.733 + 190.063i) q^{27} +(35.4279 - 12.8947i) q^{28} +(-39.4741 + 14.3674i) q^{29} +(-177.785 - 307.933i) q^{30} +(-0.938479 + 1.62549i) q^{31} +(5.55674 - 31.5138i) q^{32} +(-336.549 + 282.398i) q^{33} +(-49.5877 - 41.6090i) q^{34} +(32.7934 + 185.981i) q^{35} +(-194.455 - 70.7757i) q^{36} +331.421 q^{37} +(0.445152 + 165.638i) q^{38} -200.911 q^{39} +(150.623 + 54.8224i) q^{40} +(-8.17216 - 46.3466i) q^{41} +(128.134 + 107.517i) q^{42} +(-293.235 + 246.054i) q^{43} +(34.3910 - 195.041i) q^{44} +(518.273 - 897.675i) q^{45} +(0.309825 + 0.536633i) q^{46} +(115.099 - 41.8927i) q^{47} +(133.409 - 48.5570i) q^{48} +(127.081 + 220.110i) q^{49} +(-276.451 + 478.827i) q^{50} +(49.8701 - 282.827i) q^{51} +(69.3807 - 58.2173i) q^{52} +(-71.6880 - 60.1534i) q^{53} +(-76.2196 - 432.263i) q^{54} +(932.217 + 339.299i) q^{55} -75.4033 q^{56} +(-635.426 + 369.144i) q^{57} +84.0149 q^{58} +(-517.526 - 188.364i) q^{59} +(123.489 + 700.338i) q^{60} +(-404.046 - 339.035i) q^{61} +(2.87567 - 2.41297i) q^{62} +(-84.6726 + 480.202i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(226.835 + 392.891i) q^{65} +(825.678 - 300.522i) q^{66} +(605.223 - 220.283i) q^{67} +(64.7322 + 112.119i) q^{68} +(-1.37457 + 2.38082i) q^{69} +(65.5868 - 371.961i) q^{70} +(468.607 - 393.208i) q^{71} +(317.042 + 266.030i) q^{72} +(-70.7704 - 401.359i) q^{73} +(-622.867 - 226.705i) q^{74} -2453.00 q^{75} +(112.466 - 311.601i) q^{76} -466.675 q^{77} +(377.590 + 137.431i) q^{78} +(70.3461 + 398.953i) q^{79} +(-245.578 - 206.065i) q^{80} +(421.750 - 353.890i) q^{81} +(-16.3443 + 92.6933i) q^{82} +(387.299 - 670.822i) q^{83} +(-167.267 - 289.715i) q^{84} +(-609.386 + 221.798i) q^{85} +(719.413 - 261.845i) q^{86} +(186.370 + 322.803i) q^{87} +(-198.050 + 343.033i) q^{88} +(-152.983 + 867.607i) q^{89} +(-1588.08 + 1332.56i) q^{90} +(-163.485 - 137.180i) q^{91} +(-0.215202 - 1.22047i) q^{92} +(15.6502 + 5.69621i) q^{93} -244.972 q^{94} +(1439.29 + 825.827i) q^{95} -283.942 q^{96} +(-1391.18 - 506.347i) q^{97} +(-88.2694 - 500.601i) q^{98} +(1962.19 + 1646.47i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} + O(q^{10}) \) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} - 9q^{11} + 36q^{12} + 39q^{13} - 138q^{14} + 423q^{15} + 69q^{17} + 132q^{18} - 462q^{19} - 216q^{20} - 279q^{21} + 204q^{22} - 66q^{23} - 72q^{24} + 342q^{25} + 48q^{26} + 189q^{27} + 192q^{28} + 159q^{29} + 72q^{31} - 1560q^{33} + 408q^{34} - 135q^{35} - 108q^{36} + 1116q^{37} - 294q^{38} - 1248q^{39} + 147q^{41} + 414q^{42} - 117q^{43} + 408q^{44} + 1296q^{45} + 528q^{46} + 783q^{47} + 288q^{48} + 1413q^{49} - 354q^{50} - 2301q^{51} - 348q^{52} - 249q^{53} - 540q^{54} + 2187q^{55} - 336q^{56} - 2670q^{57} - 1932q^{58} - 4248q^{59} + 324q^{60} + 3114q^{61} - 438q^{62} + 363q^{63} - 384q^{64} + 495q^{65} + 822q^{66} + 3060q^{67} + 408q^{68} - 237q^{69} - 270q^{70} + 1686q^{71} + 432q^{72} + 1626q^{73} + 90q^{74} - 1854q^{75} - 1416q^{77} - 108q^{78} - 327q^{79} + 3483q^{81} + 294q^{82} + 927q^{83} + 204q^{84} - 3294q^{85} + 1188q^{86} + 2892q^{87} - 72q^{88} - 6366q^{89} - 5076q^{90} + 840q^{91} - 156q^{92} + 870q^{93} + 3432q^{94} + 513q^{95} - 576q^{96} - 8052q^{97} + 378q^{98} + 4494q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.87939 0.684040i −0.664463 0.241845i
\(3\) −1.54081 8.73839i −0.296530 1.68170i −0.660919 0.750457i \(-0.729833\pi\)
0.364389 0.931247i \(-0.381278\pi\)
\(4\) 3.06418 + 2.57115i 0.383022 + 0.321394i
\(5\) −15.3487 + 12.8791i −1.37283 + 1.15194i −0.401043 + 0.916059i \(0.631352\pi\)
−0.971783 + 0.235878i \(0.924203\pi\)
\(6\) −3.08163 + 17.4768i −0.209678 + 1.18914i
\(7\) 4.71270 8.16264i 0.254462 0.440741i −0.710287 0.703912i \(-0.751435\pi\)
0.964749 + 0.263171i \(0.0847683\pi\)
\(8\) −4.00000 6.92820i −0.176777 0.306186i
\(9\) −48.6136 + 17.6939i −1.80051 + 0.655330i
\(10\) 37.6558 13.7056i 1.19078 0.433409i
\(11\) −24.7562 42.8791i −0.678572 1.17532i −0.975411 0.220393i \(-0.929266\pi\)
0.296839 0.954927i \(-0.404067\pi\)
\(12\) 17.7464 30.7376i 0.426912 0.739433i
\(13\) 3.93183 22.2985i 0.0838841 0.475730i −0.913708 0.406372i \(-0.866794\pi\)
0.997592 0.0693584i \(-0.0220952\pi\)
\(14\) −14.4406 + 12.1171i −0.275672 + 0.231316i
\(15\) 136.192 + 114.278i 2.34430 + 1.96710i
\(16\) 2.77837 + 15.7569i 0.0434120 + 0.246202i
\(17\) 30.4142 + 11.0699i 0.433913 + 0.157931i 0.549736 0.835338i \(-0.314728\pi\)
−0.115823 + 0.993270i \(0.536951\pi\)
\(18\) 103.467 1.35486
\(19\) −28.5348 77.7481i −0.344544 0.938770i
\(20\) −80.1450 −0.896048
\(21\) −78.5897 28.6043i −0.816652 0.297237i
\(22\) 17.1955 + 97.5206i 0.166641 + 0.945066i
\(23\) −0.237340 0.199152i −0.00215169 0.00180548i 0.641711 0.766946i \(-0.278225\pi\)
−0.643863 + 0.765141i \(0.722669\pi\)
\(24\) −54.3781 + 45.6286i −0.462495 + 0.388079i
\(25\) 48.0052 272.251i 0.384042 2.17801i
\(26\) −22.6425 + 39.2180i −0.170791 + 0.295818i
\(27\) 109.733 + 190.063i 0.782151 + 1.35473i
\(28\) 35.4279 12.8947i 0.239116 0.0870312i
\(29\) −39.4741 + 14.3674i −0.252764 + 0.0919986i −0.465295 0.885156i \(-0.654052\pi\)
0.212531 + 0.977154i \(0.431829\pi\)
\(30\) −177.785 307.933i −1.08197 1.87402i
\(31\) −0.938479 + 1.62549i −0.00543728 + 0.00941765i −0.868731 0.495284i \(-0.835064\pi\)
0.863294 + 0.504701i \(0.168397\pi\)
\(32\) 5.55674 31.5138i 0.0306970 0.174091i
\(33\) −336.549 + 282.398i −1.77532 + 1.48967i
\(34\) −49.5877 41.6090i −0.250124 0.209879i
\(35\) 32.7934 + 185.981i 0.158374 + 0.898185i
\(36\) −194.455 70.7757i −0.900253 0.327665i
\(37\) 331.421 1.47257 0.736287 0.676670i \(-0.236578\pi\)
0.736287 + 0.676670i \(0.236578\pi\)
\(38\) 0.445152 + 165.638i 0.00190035 + 0.707104i
\(39\) −200.911 −0.824912
\(40\) 150.623 + 54.8224i 0.595391 + 0.216705i
\(41\) −8.17216 46.3466i −0.0311287 0.176540i 0.965280 0.261219i \(-0.0841245\pi\)
−0.996408 + 0.0846794i \(0.973013\pi\)
\(42\) 128.134 + 107.517i 0.470750 + 0.395006i
\(43\) −293.235 + 246.054i −1.03995 + 0.872624i −0.992002 0.126226i \(-0.959714\pi\)
−0.0479511 + 0.998850i \(0.515269\pi\)
\(44\) 34.3910 195.041i 0.117833 0.668263i
\(45\) 518.273 897.675i 1.71688 2.97372i
\(46\) 0.309825 + 0.536633i 0.000993070 + 0.00172005i
\(47\) 115.099 41.8927i 0.357212 0.130014i −0.157180 0.987570i \(-0.550240\pi\)
0.514391 + 0.857556i \(0.328018\pi\)
\(48\) 133.409 48.5570i 0.401166 0.146012i
\(49\) 127.081 + 220.110i 0.370498 + 0.641722i
\(50\) −276.451 + 478.827i −0.781922 + 1.35433i
\(51\) 49.8701 282.827i 0.136926 0.776544i
\(52\) 69.3807 58.2173i 0.185026 0.155256i
\(53\) −71.6880 60.1534i −0.185795 0.155900i 0.545146 0.838341i \(-0.316474\pi\)
−0.730941 + 0.682441i \(0.760919\pi\)
\(54\) −76.2196 432.263i −0.192077 1.08932i
\(55\) 932.217 + 339.299i 2.28546 + 0.831838i
\(56\) −75.4033 −0.179932
\(57\) −635.426 + 369.144i −1.47657 + 0.857795i
\(58\) 84.0149 0.190202
\(59\) −517.526 188.364i −1.14197 0.415642i −0.299345 0.954145i \(-0.596768\pi\)
−0.842624 + 0.538503i \(0.818990\pi\)
\(60\) 123.489 + 700.338i 0.265705 + 1.50689i
\(61\) −404.046 339.035i −0.848079 0.711623i 0.111287 0.993788i \(-0.464503\pi\)
−0.959366 + 0.282166i \(0.908947\pi\)
\(62\) 2.87567 2.41297i 0.00589048 0.00494270i
\(63\) −84.6726 + 480.202i −0.169329 + 0.960314i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) 226.835 + 392.891i 0.432853 + 0.749724i
\(66\) 825.678 300.522i 1.53991 0.560480i
\(67\) 605.223 220.283i 1.10358 0.401670i 0.274945 0.961460i \(-0.411340\pi\)
0.828634 + 0.559790i \(0.189118\pi\)
\(68\) 64.7322 + 112.119i 0.115440 + 0.199948i
\(69\) −1.37457 + 2.38082i −0.00239824 + 0.00415388i
\(70\) 65.5868 371.961i 0.111988 0.635113i
\(71\) 468.607 393.208i 0.783288 0.657257i −0.160786 0.986989i \(-0.551403\pi\)
0.944074 + 0.329732i \(0.106959\pi\)
\(72\) 317.042 + 266.030i 0.518940 + 0.435443i
\(73\) −70.7704 401.359i −0.113466 0.643500i −0.987498 0.157631i \(-0.949614\pi\)
0.874032 0.485869i \(-0.161497\pi\)
\(74\) −622.867 226.705i −0.978470 0.356134i
\(75\) −2453.00 −3.77665
\(76\) 112.466 311.601i 0.169747 0.470304i
\(77\) −466.675 −0.690683
\(78\) 377.590 + 137.431i 0.548123 + 0.199501i
\(79\) 70.3461 + 398.953i 0.100184 + 0.568173i 0.993035 + 0.117820i \(0.0375907\pi\)
−0.892851 + 0.450353i \(0.851298\pi\)
\(80\) −245.578 206.065i −0.343206 0.287984i
\(81\) 421.750 353.890i 0.578532 0.485446i
\(82\) −16.3443 + 92.6933i −0.0220113 + 0.124832i
\(83\) 387.299 670.822i 0.512188 0.887136i −0.487712 0.873005i \(-0.662168\pi\)
0.999900 0.0141312i \(-0.00449824\pi\)
\(84\) −167.267 289.715i −0.217266 0.376315i
\(85\) −609.386 + 221.798i −0.777614 + 0.283028i
\(86\) 719.413 261.845i 0.902050 0.328319i
\(87\) 186.370 + 322.803i 0.229666 + 0.397794i
\(88\) −198.050 + 343.033i −0.239911 + 0.415539i
\(89\) −152.983 + 867.607i −0.182204 + 1.03333i 0.747292 + 0.664495i \(0.231353\pi\)
−0.929496 + 0.368832i \(0.879758\pi\)
\(90\) −1588.08 + 1332.56i −1.85998 + 1.56071i
\(91\) −163.485 137.180i −0.188329 0.158027i
\(92\) −0.215202 1.22047i −0.000243874 0.00138308i
\(93\) 15.6502 + 5.69621i 0.0174500 + 0.00635129i
\(94\) −244.972 −0.268797
\(95\) 1439.29 + 825.827i 1.55440 + 0.891874i
\(96\) −283.942 −0.301872
\(97\) −1391.18 506.347i −1.45621 0.530018i −0.511894 0.859049i \(-0.671056\pi\)
−0.944319 + 0.329031i \(0.893278\pi\)
\(98\) −88.2694 500.601i −0.0909853 0.516003i
\(99\) 1962.19 + 1646.47i 1.99199 + 1.67148i
\(100\) 847.096 710.798i 0.847096 0.710798i
\(101\) 105.822 600.144i 0.104254 0.591253i −0.887262 0.461266i \(-0.847395\pi\)
0.991516 0.129987i \(-0.0414935\pi\)
\(102\) −287.191 + 497.429i −0.278785 + 0.482870i
\(103\) −275.654 477.447i −0.263699 0.456740i 0.703523 0.710673i \(-0.251609\pi\)
−0.967222 + 0.253932i \(0.918276\pi\)
\(104\) −170.216 + 61.9536i −0.160491 + 0.0584139i
\(105\) 1574.64 573.123i 1.46352 0.532677i
\(106\) 93.5821 + 162.089i 0.0857500 + 0.148523i
\(107\) 499.772 865.631i 0.451540 0.782091i −0.546942 0.837171i \(-0.684208\pi\)
0.998482 + 0.0550801i \(0.0175414\pi\)
\(108\) −152.439 + 864.526i −0.135819 + 0.770269i
\(109\) −229.462 + 192.542i −0.201638 + 0.169194i −0.738015 0.674784i \(-0.764237\pi\)
0.536378 + 0.843978i \(0.319792\pi\)
\(110\) −1519.90 1275.35i −1.31743 1.10545i
\(111\) −510.657 2896.08i −0.436662 2.47643i
\(112\) 141.712 + 51.5789i 0.119558 + 0.0435156i
\(113\) 1535.53 1.27833 0.639163 0.769071i \(-0.279281\pi\)
0.639163 + 0.769071i \(0.279281\pi\)
\(114\) 1446.72 259.107i 1.18858 0.212873i
\(115\) 6.20774 0.00503369
\(116\) −157.896 57.4696i −0.126382 0.0459993i
\(117\) 203.408 + 1153.58i 0.160727 + 0.911527i
\(118\) 843.782 + 708.017i 0.658275 + 0.552358i
\(119\) 233.692 196.091i 0.180021 0.151056i
\(120\) 246.977 1400.68i 0.187882 1.06553i
\(121\) −560.243 + 970.370i −0.420919 + 0.729053i
\(122\) 527.445 + 913.561i 0.391415 + 0.677951i
\(123\) −392.403 + 142.823i −0.287657 + 0.104699i
\(124\) −7.05505 + 2.56783i −0.00510937 + 0.00185966i
\(125\) 1517.26 + 2627.97i 1.08566 + 1.88042i
\(126\) 487.610 844.565i 0.344760 0.597142i
\(127\) −179.708 + 1019.17i −0.125563 + 0.712102i 0.855409 + 0.517953i \(0.173306\pi\)
−0.980972 + 0.194149i \(0.937805\pi\)
\(128\) 98.0537 82.2768i 0.0677094 0.0568149i
\(129\) 2601.93 + 2183.28i 1.77587 + 1.49013i
\(130\) −157.558 893.557i −0.106298 0.602847i
\(131\) −2320.30 844.519i −1.54752 0.563252i −0.579686 0.814840i \(-0.696825\pi\)
−0.967834 + 0.251588i \(0.919047\pi\)
\(132\) −1757.34 −1.15876
\(133\) −769.106 133.484i −0.501428 0.0870265i
\(134\) −1288.13 −0.830429
\(135\) −4132.08 1503.95i −2.63432 0.958813i
\(136\) −44.9625 254.995i −0.0283493 0.160777i
\(137\) −41.0660 34.4585i −0.0256095 0.0214889i 0.629893 0.776682i \(-0.283099\pi\)
−0.655503 + 0.755193i \(0.727543\pi\)
\(138\) 4.21193 3.53423i 0.00259814 0.00218010i
\(139\) −66.6697 + 378.103i −0.0406824 + 0.230721i −0.998369 0.0570921i \(-0.981817\pi\)
0.957687 + 0.287813i \(0.0929283\pi\)
\(140\) −377.700 + 654.195i −0.228010 + 0.394925i
\(141\) −543.421 941.233i −0.324570 0.562171i
\(142\) −1149.66 + 418.444i −0.679420 + 0.247289i
\(143\) −1053.48 + 383.434i −0.616057 + 0.224226i
\(144\) −413.868 716.841i −0.239507 0.414839i
\(145\) 420.836 728.909i 0.241024 0.417466i
\(146\) −141.541 + 802.718i −0.0802329 + 0.455024i
\(147\) 1727.60 1449.63i 0.969322 0.813358i
\(148\) 1015.53 + 852.132i 0.564028 + 0.473276i
\(149\) −360.258 2043.13i −0.198077 1.12335i −0.907968 0.419040i \(-0.862367\pi\)
0.709891 0.704312i \(-0.248744\pi\)
\(150\) 4610.14 + 1677.95i 2.50944 + 0.913362i
\(151\) −290.042 −0.156313 −0.0781566 0.996941i \(-0.524903\pi\)
−0.0781566 + 0.996941i \(0.524903\pi\)
\(152\) −424.515 + 508.687i −0.226531 + 0.271447i
\(153\) −1674.41 −0.884760
\(154\) 877.063 + 319.225i 0.458933 + 0.167038i
\(155\) −6.53042 37.0358i −0.00338410 0.0191922i
\(156\) −615.628 516.573i −0.315960 0.265122i
\(157\) −2496.06 + 2094.44i −1.26884 + 1.06468i −0.274154 + 0.961686i \(0.588398\pi\)
−0.994682 + 0.102994i \(0.967158\pi\)
\(158\) 140.692 797.905i 0.0708410 0.401759i
\(159\) −415.186 + 719.123i −0.207084 + 0.358680i
\(160\) 320.580 + 555.261i 0.158400 + 0.274358i
\(161\) −2.74412 + 0.998777i −0.00134327 + 0.000488911i
\(162\) −1034.70 + 376.602i −0.501815 + 0.182646i
\(163\) −134.000 232.095i −0.0643908 0.111528i 0.832033 0.554726i \(-0.187177\pi\)
−0.896424 + 0.443198i \(0.853844\pi\)
\(164\) 94.1232 163.026i 0.0448158 0.0776232i
\(165\) 1528.56 8668.87i 0.721199 4.09012i
\(166\) −1186.75 + 995.804i −0.554879 + 0.465599i
\(167\) −1162.53 975.475i −0.538676 0.452003i 0.332409 0.943135i \(-0.392139\pi\)
−0.871085 + 0.491132i \(0.836583\pi\)
\(168\) 116.182 + 658.903i 0.0533551 + 0.302592i
\(169\) 1582.74 + 576.070i 0.720410 + 0.262208i
\(170\) 1296.99 0.585145
\(171\) 2762.85 + 3274.72i 1.23556 + 1.46447i
\(172\) −1531.17 −0.678781
\(173\) 4176.94 + 1520.28i 1.83565 + 0.668121i 0.991182 + 0.132510i \(0.0423036\pi\)
0.844465 + 0.535611i \(0.179919\pi\)
\(174\) −129.451 734.155i −0.0564005 0.319863i
\(175\) −1996.06 1674.89i −0.862215 0.723484i
\(176\) 606.860 509.216i 0.259908 0.218089i
\(177\) −848.587 + 4812.58i −0.360360 + 2.04370i
\(178\) 880.991 1525.92i 0.370972 0.642543i
\(179\) 425.753 + 737.426i 0.177778 + 0.307921i 0.941119 0.338075i \(-0.109776\pi\)
−0.763341 + 0.645996i \(0.776442\pi\)
\(180\) 3896.14 1418.08i 1.61334 0.587208i
\(181\) 1429.42 520.267i 0.587006 0.213653i −0.0314058 0.999507i \(-0.509998\pi\)
0.618412 + 0.785854i \(0.287776\pi\)
\(182\) 213.415 + 369.645i 0.0869196 + 0.150549i
\(183\) −2340.06 + 4053.10i −0.945258 + 1.63724i
\(184\) −0.430405 + 2.44095i −0.000172445 + 0.000977983i
\(185\) −5086.86 + 4268.38i −2.02159 + 1.69631i
\(186\) −25.5163 21.4107i −0.0100589 0.00844039i
\(187\) −278.276 1578.18i −0.108821 0.617155i
\(188\) 460.397 + 167.571i 0.178606 + 0.0650072i
\(189\) 2068.55 0.796112
\(190\) −2140.09 2536.58i −0.817149 0.968542i
\(191\) 4238.50 1.60569 0.802846 0.596187i \(-0.203318\pi\)
0.802846 + 0.596187i \(0.203318\pi\)
\(192\) 533.637 + 194.228i 0.200583 + 0.0730062i
\(193\) 157.454 + 892.967i 0.0587243 + 0.333042i 0.999989 0.00462659i \(-0.00147269\pi\)
−0.941265 + 0.337669i \(0.890362\pi\)
\(194\) 2268.20 + 1903.24i 0.839418 + 0.704355i
\(195\) 3083.72 2587.55i 1.13246 0.950247i
\(196\) −176.539 + 1001.20i −0.0643363 + 0.364869i
\(197\) 2153.26 3729.55i 0.778747 1.34883i −0.153917 0.988084i \(-0.549189\pi\)
0.932664 0.360746i \(-0.117478\pi\)
\(198\) −2561.46 4436.57i −0.919368 1.59239i
\(199\) −2260.36 + 822.705i −0.805190 + 0.293065i −0.711636 0.702549i \(-0.752045\pi\)
−0.0935547 + 0.995614i \(0.529823\pi\)
\(200\) −2078.23 + 756.415i −0.734766 + 0.267433i
\(201\) −2857.46 4949.26i −1.00273 1.73679i
\(202\) −609.402 + 1055.51i −0.212264 + 0.367652i
\(203\) −68.7538 + 389.922i −0.0237713 + 0.134814i
\(204\) 880.003 738.410i 0.302022 0.253427i
\(205\) 722.333 + 606.109i 0.246097 + 0.206500i
\(206\) 191.467 + 1085.87i 0.0647581 + 0.367261i
\(207\) 15.0617 + 5.48202i 0.00505731 + 0.00184071i
\(208\) 362.280 0.120767
\(209\) −2627.35 + 3148.30i −0.869558 + 1.04197i
\(210\) −3351.40 −1.10128
\(211\) 5367.64 + 1953.66i 1.75130 + 0.637419i 0.999752 0.0222640i \(-0.00708744\pi\)
0.751544 + 0.659683i \(0.229310\pi\)
\(212\) −65.0014 368.641i −0.0210581 0.119426i
\(213\) −4158.04 3489.01i −1.33758 1.12236i
\(214\) −1531.39 + 1284.99i −0.489176 + 0.410468i
\(215\) 1331.83 7553.18i 0.422465 2.39592i
\(216\) 877.863 1520.50i 0.276532 0.478968i
\(217\) 8.84554 + 15.3209i 0.00276716 + 0.00479287i
\(218\) 562.954 204.899i 0.174899 0.0636582i
\(219\) −3398.19 + 1236.84i −1.04853 + 0.381634i
\(220\) 1984.09 + 3436.54i 0.608033 + 1.05314i
\(221\) 366.425 634.666i 0.111531 0.193178i
\(222\) −1021.31 + 5792.16i −0.308767 + 1.75110i
\(223\) 3353.43 2813.86i 1.00701 0.844978i 0.0190656 0.999818i \(-0.493931\pi\)
0.987939 + 0.154841i \(0.0494864\pi\)
\(224\) −231.049 193.873i −0.0689179 0.0578290i
\(225\) 2483.48 + 14084.5i 0.735847 + 4.17319i
\(226\) −2885.86 1050.37i −0.849401 0.309157i
\(227\) 1546.26 0.452111 0.226055 0.974114i \(-0.427417\pi\)
0.226055 + 0.974114i \(0.427417\pi\)
\(228\) −2896.18 502.653i −0.841247 0.146005i
\(229\) −4754.72 −1.37206 −0.686028 0.727575i \(-0.740647\pi\)
−0.686028 + 0.727575i \(0.740647\pi\)
\(230\) −11.6667 4.24634i −0.00334470 0.00121737i
\(231\) 719.060 + 4077.99i 0.204808 + 1.16152i
\(232\) 257.437 + 216.015i 0.0728515 + 0.0611297i
\(233\) 2566.88 2153.87i 0.721724 0.605599i −0.206137 0.978523i \(-0.566089\pi\)
0.927862 + 0.372924i \(0.121645\pi\)
\(234\) 406.815 2307.16i 0.113651 0.644547i
\(235\) −1227.08 + 2125.36i −0.340621 + 0.589972i
\(236\) −1101.48 1907.82i −0.303814 0.526222i
\(237\) 3377.81 1229.42i 0.925791 0.336960i
\(238\) −573.332 + 208.676i −0.156150 + 0.0568338i
\(239\) −423.111 732.850i −0.114514 0.198344i 0.803072 0.595883i \(-0.203198\pi\)
−0.917585 + 0.397539i \(0.869864\pi\)
\(240\) −1422.28 + 2463.47i −0.382533 + 0.662567i
\(241\) 932.872 5290.58i 0.249343 1.41409i −0.560845 0.827921i \(-0.689523\pi\)
0.810187 0.586171i \(-0.199365\pi\)
\(242\) 1716.68 1440.47i 0.456003 0.382632i
\(243\) 796.987 + 668.751i 0.210398 + 0.176545i
\(244\) −366.359 2077.73i −0.0961220 0.545135i
\(245\) −4785.33 1741.72i −1.24785 0.454181i
\(246\) 835.174 0.216458
\(247\) −1845.86 + 330.593i −0.475503 + 0.0851623i
\(248\) 15.0157 0.00384474
\(249\) −6458.66 2350.76i −1.64378 0.598286i
\(250\) −1053.88 5976.82i −0.266612 1.51203i
\(251\) −1239.04 1039.68i −0.311584 0.261450i 0.473563 0.880760i \(-0.342968\pi\)
−0.785146 + 0.619311i \(0.787412\pi\)
\(252\) −1494.12 + 1253.72i −0.373496 + 0.313400i
\(253\) −2.66380 + 15.1072i −0.000661944 + 0.00375407i
\(254\) 1034.89 1792.49i 0.255650 0.442799i
\(255\) 2877.11 + 4983.30i 0.706555 + 1.22379i
\(256\) −240.561 + 87.5572i −0.0587308 + 0.0213763i
\(257\) −1076.02 + 391.639i −0.261168 + 0.0950574i −0.469286 0.883046i \(-0.655489\pi\)
0.208118 + 0.978104i \(0.433266\pi\)
\(258\) −3396.58 5883.05i −0.819620 1.41962i
\(259\) 1561.89 2705.27i 0.374714 0.649024i
\(260\) −315.116 + 1787.11i −0.0751642 + 0.426277i
\(261\) 1664.76 1396.90i 0.394814 0.331288i
\(262\) 3783.05 + 3174.35i 0.892051 + 0.748520i
\(263\) 189.878 + 1076.85i 0.0445186 + 0.252477i 0.998943 0.0459769i \(-0.0146401\pi\)
−0.954424 + 0.298454i \(0.903529\pi\)
\(264\) 3302.71 + 1202.09i 0.769954 + 0.280240i
\(265\) 1875.03 0.434651
\(266\) 1354.14 + 776.967i 0.312134 + 0.179094i
\(267\) 7817.20 1.79178
\(268\) 2420.89 + 881.133i 0.551790 + 0.200835i
\(269\) −22.3588 126.803i −0.00506782 0.0287410i 0.982169 0.188000i \(-0.0602006\pi\)
−0.987237 + 0.159259i \(0.949089\pi\)
\(270\) 6737.00 + 5653.02i 1.51852 + 1.27419i
\(271\) −1908.33 + 1601.28i −0.427759 + 0.358933i −0.831106 0.556115i \(-0.812292\pi\)
0.403346 + 0.915047i \(0.367847\pi\)
\(272\) −89.9250 + 509.990i −0.0200460 + 0.113686i
\(273\) −946.836 + 1639.97i −0.209909 + 0.363573i
\(274\) 53.6078 + 92.8515i 0.0118196 + 0.0204721i
\(275\) −12862.3 + 4681.50i −2.82046 + 1.02656i
\(276\) −10.3334 + 3.76104i −0.00225361 + 0.000820247i
\(277\) 3826.59 + 6627.85i 0.830028 + 1.43765i 0.898016 + 0.439964i \(0.145009\pi\)
−0.0679880 + 0.997686i \(0.521658\pi\)
\(278\) 383.936 664.996i 0.0828307 0.143467i
\(279\) 16.8615 95.6265i 0.00361818 0.0205197i
\(280\) 1157.34 971.122i 0.247015 0.207270i
\(281\) −3650.56 3063.18i −0.774996 0.650299i 0.166987 0.985959i \(-0.446596\pi\)
−0.941983 + 0.335660i \(0.891041\pi\)
\(282\) 377.456 + 2140.66i 0.0797064 + 0.452037i
\(283\) −644.294 234.504i −0.135333 0.0492572i 0.273466 0.961882i \(-0.411830\pi\)
−0.408799 + 0.912625i \(0.634052\pi\)
\(284\) 2446.89 0.511255
\(285\) 4998.71 13849.5i 1.03894 2.87851i
\(286\) 2242.17 0.463575
\(287\) −416.824 151.712i −0.0857294 0.0312030i
\(288\) 287.470 + 1630.32i 0.0588171 + 0.333569i
\(289\) −2961.10 2484.65i −0.602706 0.505731i
\(290\) −1289.52 + 1082.03i −0.261114 + 0.219100i
\(291\) −2281.11 + 12936.8i −0.459523 + 2.60609i
\(292\) 815.101 1411.80i 0.163357 0.282942i
\(293\) 1109.88 + 1922.37i 0.221296 + 0.383297i 0.955202 0.295955i \(-0.0956378\pi\)
−0.733905 + 0.679252i \(0.762305\pi\)
\(294\) −4238.44 + 1542.67i −0.840785 + 0.306021i
\(295\) 10369.3 3774.11i 2.04652 0.744871i
\(296\) −1325.68 2296.15i −0.260317 0.450882i
\(297\) 5433.14 9410.48i 1.06149 1.83856i
\(298\) −720.517 + 4086.25i −0.140062 + 0.794330i
\(299\) −5.37397 + 4.50930i −0.00103941 + 0.000872172i
\(300\) −7516.44 6307.04i −1.44654 1.21379i
\(301\) 626.517 + 3553.15i 0.119973 + 0.680400i
\(302\) 545.101 + 198.401i 0.103864 + 0.0378035i
\(303\) −5407.34 −1.02523
\(304\) 1145.79 665.634i 0.216170 0.125581i
\(305\) 10568.0 1.98401
\(306\) 3146.87 + 1145.37i 0.587890 + 0.213975i
\(307\) −1391.35 7890.75i −0.258660 1.46693i −0.786500 0.617590i \(-0.788109\pi\)
0.527840 0.849344i \(-0.323002\pi\)
\(308\) −1429.98 1199.89i −0.264547 0.221981i
\(309\) −3747.39 + 3144.43i −0.689907 + 0.578901i
\(310\) −13.0608 + 74.0717i −0.00239292 + 0.0135709i
\(311\) −4591.42 + 7952.58i −0.837157 + 1.45000i 0.0551056 + 0.998481i \(0.482450\pi\)
−0.892262 + 0.451517i \(0.850883\pi\)
\(312\) 803.645 + 1391.95i 0.145825 + 0.252577i
\(313\) 8755.18 3186.62i 1.58106 0.575459i 0.605626 0.795749i \(-0.292923\pi\)
0.975434 + 0.220290i \(0.0707005\pi\)
\(314\) 6123.74 2228.86i 1.10058 0.400579i
\(315\) −4884.94 8460.96i −0.873762 1.51340i
\(316\) −810.214 + 1403.33i −0.144235 + 0.249822i
\(317\) −157.014 + 890.472i −0.0278196 + 0.157773i −0.995553 0.0942039i \(-0.969969\pi\)
0.967733 + 0.251976i \(0.0810806\pi\)
\(318\) 1272.20 1067.51i 0.224345 0.188248i
\(319\) 1593.29 + 1336.93i 0.279646 + 0.234651i
\(320\) −222.672 1262.84i −0.0388993 0.220609i
\(321\) −8334.27 3033.43i −1.44914 0.527444i
\(322\) 5.84046 0.00101080
\(323\) −7.20391 2680.52i −0.00124098 0.461759i
\(324\) 2202.22 0.377610
\(325\) −5882.05 2140.89i −1.00393 0.365401i
\(326\) 93.0755 + 527.858i 0.0158128 + 0.0896789i
\(327\) 2036.06 + 1708.46i 0.344326 + 0.288924i
\(328\) −288.410 + 242.005i −0.0485512 + 0.0407393i
\(329\) 200.473 1136.94i 0.0335941 0.190522i
\(330\) −8802.60 + 15246.6i −1.46839 + 2.54332i
\(331\) 1481.76 + 2566.48i 0.246057 + 0.426183i 0.962428 0.271536i \(-0.0875316\pi\)
−0.716371 + 0.697719i \(0.754198\pi\)
\(332\) 2911.54 1059.71i 0.481299 0.175179i
\(333\) −16111.6 + 5864.13i −2.65138 + 0.965022i
\(334\) 1517.57 + 2628.51i 0.248616 + 0.430615i
\(335\) −6452.33 + 11175.8i −1.05232 + 1.82268i
\(336\) 232.365 1317.81i 0.0377278 0.213965i
\(337\) 1394.43 1170.07i 0.225399 0.189132i −0.523094 0.852275i \(-0.675222\pi\)
0.748493 + 0.663143i \(0.230778\pi\)
\(338\) −2580.52 2165.32i −0.415272 0.348455i
\(339\) −2365.97 13418.1i −0.379062 2.14977i
\(340\) −2437.54 887.193i −0.388807 0.141514i
\(341\) 92.9328 0.0147583
\(342\) −2952.42 8044.37i −0.466808 1.27190i
\(343\) 5628.49 0.886035
\(344\) 2877.65 + 1047.38i 0.451025 + 0.164160i
\(345\) −9.56496 54.2456i −0.00149264 0.00846517i
\(346\) −6810.15 5714.39i −1.05814 0.887883i
\(347\) −5948.14 + 4991.09i −0.920211 + 0.772148i −0.974034 0.226402i \(-0.927304\pi\)
0.0538232 + 0.998550i \(0.482859\pi\)
\(348\) −258.903 + 1468.31i −0.0398812 + 0.226177i
\(349\) −3254.54 + 5637.03i −0.499173 + 0.864594i −1.00000 0.000954101i \(-0.999696\pi\)
0.500826 + 0.865548i \(0.333030\pi\)
\(350\) 2605.66 + 4513.14i 0.397939 + 0.689251i
\(351\) 4669.57 1699.58i 0.710095 0.258453i
\(352\) −1488.85 + 541.897i −0.225443 + 0.0820545i
\(353\) 3799.48 + 6580.90i 0.572878 + 0.992255i 0.996269 + 0.0863071i \(0.0275066\pi\)
−0.423390 + 0.905947i \(0.639160\pi\)
\(354\) 4886.82 8464.22i 0.733705 1.27081i
\(355\) −2128.34 + 12070.4i −0.318199 + 1.80460i
\(356\) −2699.51 + 2265.16i −0.401893 + 0.337228i
\(357\) −2073.60 1739.95i −0.307413 0.257950i
\(358\) −295.725 1677.14i −0.0436580 0.247597i
\(359\) 2017.65 + 734.365i 0.296623 + 0.107962i 0.486045 0.873934i \(-0.338439\pi\)
−0.189422 + 0.981896i \(0.560661\pi\)
\(360\) −8292.37 −1.21402
\(361\) −5230.53 + 4437.06i −0.762578 + 0.646896i
\(362\) −3042.32 −0.441715
\(363\) 9342.70 + 3400.46i 1.35087 + 0.491675i
\(364\) −148.236 840.690i −0.0213453 0.121055i
\(365\) 6255.36 + 5248.87i 0.897042 + 0.752708i
\(366\) 7170.36 6016.65i 1.02405 0.859276i
\(367\) 536.219 3041.05i 0.0762681 0.432538i −0.922633 0.385678i \(-0.873968\pi\)
0.998901 0.0468596i \(-0.0149214\pi\)
\(368\) 2.47860 4.29306i 0.000351103 0.000608129i
\(369\) 1217.33 + 2108.48i 0.171739 + 0.297461i
\(370\) 12479.9 4542.32i 1.75351 0.638227i
\(371\) −828.855 + 301.679i −0.115989 + 0.0422166i
\(372\) 33.3092 + 57.6932i 0.00464248 + 0.00804101i
\(373\) 4334.36 7507.33i 0.601675 1.04213i −0.390893 0.920436i \(-0.627834\pi\)
0.992568 0.121695i \(-0.0388330\pi\)
\(374\) −556.551 + 3156.36i −0.0769481 + 0.436394i
\(375\) 20626.4 17307.6i 2.84038 2.38336i
\(376\) −750.638 629.860i −0.102955 0.0863897i
\(377\) 165.166 + 936.704i 0.0225636 + 0.127965i
\(378\) −3887.61 1414.97i −0.528987 0.192535i
\(379\) −1288.19 −0.174591 −0.0872956 0.996182i \(-0.527822\pi\)
−0.0872956 + 0.996182i \(0.527822\pi\)
\(380\) 2286.92 + 6231.12i 0.308728 + 0.841183i
\(381\) 9182.82 1.23478
\(382\) −7965.77 2899.30i −1.06692 0.388328i
\(383\) −2141.84 12147.0i −0.285752 1.62058i −0.702586 0.711599i \(-0.747971\pi\)
0.416833 0.908983i \(-0.363140\pi\)
\(384\) −870.049 730.058i −0.115624 0.0970198i
\(385\) 7162.84 6010.34i 0.948187 0.795624i
\(386\) 314.908 1785.93i 0.0415244 0.235496i
\(387\) 9901.58 17150.0i 1.30058 2.25268i
\(388\) −2960.92 5128.46i −0.387417 0.671027i
\(389\) −4552.89 + 1657.11i −0.593420 + 0.215987i −0.621233 0.783626i \(-0.713368\pi\)
0.0278129 + 0.999613i \(0.491146\pi\)
\(390\) −7565.48 + 2753.61i −0.982290 + 0.357524i
\(391\) −5.01392 8.68436i −0.000648503 0.00112324i
\(392\) 1016.65 1760.88i 0.130991 0.226883i
\(393\) −3804.59 + 21576.9i −0.488336 + 2.76949i
\(394\) −6597.96 + 5536.35i −0.843656 + 0.707911i
\(395\) −6217.85 5217.39i −0.792035 0.664597i
\(396\) 1779.17 + 10090.2i 0.225774 + 1.28043i
\(397\) 6469.47 + 2354.69i 0.817867 + 0.297679i 0.716870 0.697207i \(-0.245574\pi\)
0.100998 + 0.994887i \(0.467797\pi\)
\(398\) 4810.86 0.605895
\(399\) 18.6148 + 6926.42i 0.00233560 + 0.869060i
\(400\) 4423.22 0.552902
\(401\) −4592.90 1671.68i −0.571967 0.208179i 0.0398128 0.999207i \(-0.487324\pi\)
−0.611780 + 0.791028i \(0.709546\pi\)
\(402\) 1984.77 + 11256.2i 0.246247 + 1.39654i
\(403\) 32.5561 + 27.3178i 0.00402416 + 0.00337667i
\(404\) 1867.32 1566.86i 0.229956 0.192956i
\(405\) −1915.52 + 10863.5i −0.235020 + 1.33286i
\(406\) 395.937 685.784i 0.0483991 0.0838297i
\(407\) −8204.73 14211.0i −0.999246 1.73075i
\(408\) −2158.97 + 785.800i −0.261972 + 0.0953502i
\(409\) 5640.45 2052.96i 0.681913 0.248196i 0.0222444 0.999753i \(-0.492919\pi\)
0.659669 + 0.751556i \(0.270697\pi\)
\(410\) −942.938 1633.22i −0.113581 0.196729i
\(411\) −237.836 + 411.945i −0.0285440 + 0.0494397i
\(412\) 382.935 2171.73i 0.0457909 0.259693i
\(413\) −3976.49 + 3336.67i −0.473778 + 0.397547i
\(414\) −24.5569 20.6057i −0.00291523 0.00244617i
\(415\) 2695.03 + 15284.3i 0.318780 + 1.80789i
\(416\) −680.864 247.814i −0.0802454 0.0292069i
\(417\) 3406.73 0.400068
\(418\) 7091.36 4119.65i 0.829785 0.482054i
\(419\) 2289.90 0.266990 0.133495 0.991049i \(-0.457380\pi\)
0.133495 + 0.991049i \(0.457380\pi\)
\(420\) 6298.57 + 2292.49i 0.731759 + 0.266339i
\(421\) 563.715 + 3196.99i 0.0652584 + 0.370099i 0.999895 + 0.0144944i \(0.00461386\pi\)
−0.934637 + 0.355604i \(0.884275\pi\)
\(422\) −8751.48 7343.36i −1.00951 0.847083i
\(423\) −4854.15 + 4073.11i −0.557959 + 0.468183i
\(424\) −130.003 + 737.283i −0.0148903 + 0.0844472i
\(425\) 4473.82 7748.89i 0.510617 0.884414i
\(426\) 5427.94 + 9401.47i 0.617335 + 1.06926i
\(427\) −4671.57 + 1700.31i −0.529445 + 0.192702i
\(428\) 3757.06 1367.46i 0.424309 0.154436i
\(429\) 4973.81 + 8614.89i 0.559762 + 0.969536i
\(430\) −7669.70 + 13284.3i −0.860154 + 1.48983i
\(431\) 1501.14 8513.41i 0.167767 0.951454i −0.778398 0.627771i \(-0.783968\pi\)
0.946165 0.323683i \(-0.104921\pi\)
\(432\) −2689.93 + 2257.12i −0.299581 + 0.251379i
\(433\) −9085.03 7623.25i −1.00831 0.846073i −0.0201970 0.999796i \(-0.506429\pi\)
−0.988114 + 0.153723i \(0.950874\pi\)
\(434\) −6.14405 34.8446i −0.000679548 0.00385391i
\(435\) −7017.92 2554.32i −0.773526 0.281540i
\(436\) −1198.17 −0.131610
\(437\) −8.71121 + 24.1355i −0.000953579 + 0.00264201i
\(438\) 7232.55 0.789006
\(439\) 3527.14 + 1283.77i 0.383465 + 0.139570i 0.526558 0.850139i \(-0.323482\pi\)
−0.143093 + 0.989709i \(0.545705\pi\)
\(440\) −1378.13 7815.78i −0.149318 0.846825i
\(441\) −10072.5 8451.81i −1.08762 0.912624i
\(442\) −1122.79 + 942.133i −0.120827 + 0.101386i
\(443\) −940.654 + 5334.71i −0.100884 + 0.572144i 0.891900 + 0.452232i \(0.149372\pi\)
−0.992785 + 0.119912i \(0.961739\pi\)
\(444\) 5881.52 10187.1i 0.628659 1.08887i
\(445\) −8825.88 15286.9i −0.940195 1.62847i
\(446\) −8227.18 + 2994.45i −0.873471 + 0.317917i
\(447\) −17298.5 + 6296.16i −1.83041 + 0.666215i
\(448\) 301.613 + 522.409i 0.0318078 + 0.0550927i
\(449\) −137.961 + 238.955i −0.0145006 + 0.0251158i −0.873185 0.487390i \(-0.837949\pi\)
0.858684 + 0.512505i \(0.171283\pi\)
\(450\) 4966.96 28169.1i 0.520322 2.95089i
\(451\) −1784.99 + 1497.78i −0.186368 + 0.156381i
\(452\) 4705.15 + 3948.09i 0.489628 + 0.410846i
\(453\) 446.901 + 2534.50i 0.0463515 + 0.262873i
\(454\) −2906.03 1057.71i −0.300411 0.109341i
\(455\) 4276.03 0.440579
\(456\) 5099.21 + 2925.79i 0.523667 + 0.300466i
\(457\) −14563.9 −1.49075 −0.745374 0.666646i \(-0.767729\pi\)
−0.745374 + 0.666646i \(0.767729\pi\)
\(458\) 8935.95 + 3252.42i 0.911680 + 0.331824i
\(459\) 1233.47 + 6995.33i 0.125432 + 0.711359i
\(460\) 19.0216 + 15.9610i 0.00192801 + 0.00161780i
\(461\) −2390.64 + 2005.98i −0.241525 + 0.202664i −0.755513 0.655134i \(-0.772612\pi\)
0.513988 + 0.857798i \(0.328168\pi\)
\(462\) 1438.12 8155.98i 0.144821 0.821322i
\(463\) −4037.27 + 6992.76i −0.405244 + 0.701903i −0.994350 0.106153i \(-0.966147\pi\)
0.589106 + 0.808056i \(0.299480\pi\)
\(464\) −336.060 582.073i −0.0336232 0.0582372i
\(465\) −313.571 + 114.131i −0.0312721 + 0.0113821i
\(466\) −6297.48 + 2292.10i −0.626020 + 0.227853i
\(467\) −9125.29 15805.5i −0.904214 1.56614i −0.821969 0.569532i \(-0.807124\pi\)
−0.0822446 0.996612i \(-0.526209\pi\)
\(468\) −2342.76 + 4057.77i −0.231397 + 0.400792i
\(469\) 1054.14 5978.35i 0.103787 0.588603i
\(470\) 3759.99 3155.01i 0.369012 0.309637i
\(471\) 22148.0 + 18584.4i 2.16672 + 1.81810i
\(472\) 765.079 + 4338.98i 0.0746094 + 0.423131i
\(473\) 17810.0 + 6482.29i 1.73130 + 0.630140i
\(474\) −7189.19 −0.696646
\(475\) −22536.8 + 4036.33i −2.17697 + 0.389894i
\(476\) 1220.25 0.117501
\(477\) 4549.37 + 1655.83i 0.436690 + 0.158942i
\(478\) 293.890 + 1666.73i 0.0281218 + 0.159487i
\(479\) 301.846 + 253.279i 0.0287927 + 0.0241600i 0.657070 0.753829i \(-0.271795\pi\)
−0.628278 + 0.777989i \(0.716240\pi\)
\(480\) 4358.13 3656.91i 0.414418 0.347738i
\(481\) 1303.09 7390.19i 0.123526 0.700548i
\(482\) −5372.20 + 9304.92i −0.507670 + 0.879310i
\(483\) 12.9559 + 22.4402i 0.00122052 + 0.00211401i
\(484\) −4211.65 + 1532.92i −0.395534 + 0.143963i
\(485\) 27874.0 10145.3i 2.60967 0.949844i
\(486\) −1040.39 1802.01i −0.0971052 0.168191i
\(487\) 5345.83 9259.25i 0.497418 0.861553i −0.502577 0.864532i \(-0.667615\pi\)
0.999996 + 0.00297872i \(0.000948157\pi\)
\(488\) −732.719 + 4155.45i −0.0679685 + 0.385468i
\(489\) −1821.67 + 1528.56i −0.168464 + 0.141358i
\(490\) 7802.08 + 6546.72i 0.719310 + 0.603573i
\(491\) 493.287 + 2797.57i 0.0453396 + 0.257134i 0.999049 0.0435952i \(-0.0138812\pi\)
−0.953710 + 0.300729i \(0.902770\pi\)
\(492\) −1569.61 571.292i −0.143829 0.0523493i
\(493\) −1359.62 −0.124207
\(494\) 3695.22 + 641.333i 0.336550 + 0.0584108i
\(495\) −51322.0 −4.66010
\(496\) −28.2202 10.2713i −0.00255469 0.000929830i
\(497\) −1001.21 5678.15i −0.0903631 0.512474i
\(498\) 10530.3 + 8835.97i 0.947538 + 0.795078i
\(499\) 1340.63 1124.92i 0.120270 0.100919i −0.580669 0.814140i \(-0.697209\pi\)
0.700939 + 0.713221i \(0.252765\pi\)
\(500\) −2107.75 + 11953.6i −0.188523 + 1.06917i
\(501\) −6732.84 + 11661.6i −0.600402 + 1.03993i
\(502\) 1617.45 + 2801.51i 0.143806 + 0.249078i
\(503\) 7672.22 2792.46i 0.680094 0.247534i 0.0212063 0.999775i \(-0.493249\pi\)
0.658888 + 0.752241i \(0.271027\pi\)
\(504\) 3665.63 1334.18i 0.323968 0.117915i
\(505\) 6105.06 + 10574.3i 0.537964 + 0.931781i
\(506\) 15.3402 26.5700i 0.00134774 0.00233435i
\(507\) 2595.22 14718.2i 0.227333 1.28927i
\(508\) −3171.10 + 2660.87i −0.276958 + 0.232396i
\(509\) 15546.6 + 13045.1i 1.35381 + 1.13598i 0.977841 + 0.209349i \(0.0671345\pi\)
0.375969 + 0.926632i \(0.377310\pi\)
\(510\) −1998.42 11333.6i −0.173513 0.984040i
\(511\) −3609.67 1313.81i −0.312490 0.113737i
\(512\) 512.000 0.0441942
\(513\) 11645.8 13954.9i 1.00229 1.20102i
\(514\) 2290.15 0.196526
\(515\) 10380.0 + 3778.01i 0.888149 + 0.323260i
\(516\) 2359.24 + 13379.9i 0.201279 + 1.14151i
\(517\) −4645.74 3898.24i −0.395202 0.331614i
\(518\) −4785.90 + 4015.85i −0.405947 + 0.340630i
\(519\) 6848.93 38842.2i 0.579257 3.28513i
\(520\) 1814.68 3143.12i 0.153037 0.265068i
\(521\) 6316.12 + 10939.8i 0.531121 + 0.919929i 0.999340 + 0.0363166i \(0.0115625\pi\)
−0.468219 + 0.883612i \(0.655104\pi\)
\(522\) −4084.27 + 1486.55i −0.342459 + 0.124645i
\(523\) −8670.46 + 3155.79i −0.724919 + 0.263849i −0.678012 0.735050i \(-0.737158\pi\)
−0.0469064 + 0.998899i \(0.514936\pi\)
\(524\) −4938.42 8553.59i −0.411709 0.713101i
\(525\) −11560.3 + 20023.0i −0.961014 + 1.66452i
\(526\) 379.756 2153.71i 0.0314794 0.178529i
\(527\) −46.5370 + 39.0492i −0.00384665 + 0.00322772i
\(528\) −5384.79 4518.37i −0.443831 0.372419i
\(529\) −2112.76 11982.1i −0.173647 0.984800i
\(530\) −3523.91 1282.60i −0.288809 0.105118i
\(531\) 28491.7 2.32850
\(532\) −2013.47 2386.51i −0.164088 0.194489i
\(533\) −1065.59 −0.0865966
\(534\) −14691.5 5347.28i −1.19057 0.433333i
\(535\) 3477.67 + 19722.9i 0.281033 + 1.59382i
\(536\) −3947.06 3311.98i −0.318073 0.266895i
\(537\) 5787.91 4856.63i 0.465115 0.390278i
\(538\) −44.7177 + 253.607i −0.00358349 + 0.0203230i
\(539\) 6292.09 10898.2i 0.502819 0.870908i
\(540\) −8794.54 15232.6i −0.700845 1.21390i
\(541\) −10079.7 + 3668.70i −0.801032 + 0.291552i −0.709914 0.704288i \(-0.751266\pi\)
−0.0911182 + 0.995840i \(0.529044\pi\)
\(542\) 4681.83 1704.05i 0.371036 0.135046i
\(543\) −6748.77 11689.2i −0.533366 0.923817i
\(544\) 517.857 896.955i 0.0408142 0.0706924i
\(545\) 1042.18 5910.51i 0.0819123 0.464548i
\(546\) 2901.27 2434.46i 0.227405 0.190815i
\(547\) −7114.42 5969.71i −0.556107 0.466630i 0.320895 0.947115i \(-0.396016\pi\)
−0.877003 + 0.480485i \(0.840461\pi\)
\(548\) −37.2356 211.174i −0.00290260 0.0164615i
\(549\) 25641.0 + 9332.57i 1.99332 + 0.725509i
\(550\) 27375.6 2.12236
\(551\) 2243.43 + 2659.06i 0.173454 + 0.205590i
\(552\) 21.9931 0.00169581
\(553\) 3588.03 + 1305.94i 0.275910 + 0.100423i
\(554\) −2657.92 15073.8i −0.203835 1.15600i
\(555\) 45136.7 + 37874.2i 3.45216 + 2.89670i
\(556\) −1176.45 + 987.156i −0.0897346 + 0.0752963i
\(557\) −2869.60 + 16274.3i −0.218292 + 1.23800i 0.656809 + 0.754057i \(0.271906\pi\)
−0.875101 + 0.483940i \(0.839205\pi\)
\(558\) −97.1017 + 168.185i −0.00736674 + 0.0127596i
\(559\) 4333.68 + 7506.15i 0.327898 + 0.567936i
\(560\) −2839.37 + 1033.45i −0.214260 + 0.0779841i
\(561\) −13362.0 + 4863.36i −1.00560 + 0.366009i
\(562\) 4765.46 + 8254.03i 0.357685 + 0.619529i
\(563\) −3080.14 + 5334.97i −0.230573 + 0.399364i −0.957977 0.286845i \(-0.907393\pi\)
0.727404 + 0.686210i \(0.240727\pi\)
\(564\) 754.913 4281.32i 0.0563609 0.319639i
\(565\) −23568.4 + 19776.2i −1.75492 + 1.47255i
\(566\) 1050.47 + 881.446i 0.0780113 + 0.0654592i
\(567\) −901.096 5110.37i −0.0667416 0.378510i
\(568\) −4598.66 1673.77i −0.339710 0.123644i
\(569\) −16846.5 −1.24120 −0.620599 0.784128i \(-0.713110\pi\)
−0.620599 + 0.784128i \(0.713110\pi\)
\(570\) −18868.2 + 22609.3i −1.38649 + 1.66140i
\(571\) 4447.37 0.325948 0.162974 0.986630i \(-0.447891\pi\)
0.162974 + 0.986630i \(0.447891\pi\)
\(572\) −4213.91 1533.74i −0.308029 0.112113i
\(573\) −6530.74 37037.7i −0.476135 2.70030i
\(574\) 679.596 + 570.249i 0.0494178 + 0.0414664i
\(575\) −65.6129 + 55.0558i −0.00475869 + 0.00399302i
\(576\) 574.940 3260.65i 0.0415900 0.235869i
\(577\) −456.989 + 791.529i −0.0329718 + 0.0571088i −0.882040 0.471174i \(-0.843830\pi\)
0.849069 + 0.528283i \(0.177164\pi\)
\(578\) 3865.44 + 6695.13i 0.278168 + 0.481801i
\(579\) 7560.49 2751.79i 0.542665 0.197514i
\(580\) 3163.65 1151.48i 0.226489 0.0824352i
\(581\) −3650.45 6322.77i −0.260665 0.451485i
\(582\) 13136.4 22752.9i 0.935604 1.62051i
\(583\) −804.596 + 4563.09i −0.0571577 + 0.324158i
\(584\) −2497.62 + 2095.75i −0.176973 + 0.148498i
\(585\) −17979.1 15086.2i −1.27067 1.06622i
\(586\) −770.914 4372.07i −0.0543450 0.308206i
\(587\) 8478.22 + 3085.82i 0.596139 + 0.216977i 0.622427 0.782678i \(-0.286147\pi\)
−0.0262884 + 0.999654i \(0.508369\pi\)
\(588\) 9020.90 0.632680
\(589\) 153.158 + 26.5817i 0.0107144 + 0.00185956i
\(590\) −22069.5 −1.53998
\(591\) −35908.0 13069.5i −2.49925 0.909654i
\(592\) 920.809 + 5222.17i 0.0639274 + 0.362550i
\(593\) 5322.15 + 4465.81i 0.368557 + 0.309256i 0.808191 0.588921i \(-0.200447\pi\)
−0.439633 + 0.898177i \(0.644892\pi\)
\(594\) −16648.1 + 13969.4i −1.14997 + 0.964937i
\(595\) −1061.39 + 6019.47i −0.0731310 + 0.414746i
\(596\) 4149.29 7186.78i 0.285170 0.493930i
\(597\) 10671.9 + 18484.3i 0.731612 + 1.26719i
\(598\) 13.1843 4.79869i 0.000901582 0.000328149i
\(599\) −13743.2 + 5002.13i −0.937451 + 0.341204i −0.765159 0.643842i \(-0.777340\pi\)
−0.172292 + 0.985046i \(0.555117\pi\)
\(600\) 9812.02 + 16994.9i 0.667623 + 1.15636i
\(601\) 9988.09 17299.9i 0.677908 1.17417i −0.297701 0.954659i \(-0.596220\pi\)
0.975610 0.219513i \(-0.0704467\pi\)
\(602\) 1253.03 7106.31i 0.0848336 0.481115i
\(603\) −25524.4 + 21417.5i −1.72377 + 1.44642i
\(604\) −888.741 745.742i −0.0598715 0.0502381i
\(605\) −3898.46 22109.3i −0.261975 1.48573i
\(606\) 10162.5 + 3698.84i 0.681225 + 0.247946i
\(607\) 17106.1 1.14385 0.571923 0.820307i \(-0.306198\pi\)
0.571923 + 0.820307i \(0.306198\pi\)
\(608\) −2608.70 + 467.217i −0.174008 + 0.0311647i
\(609\) 3513.23 0.233766
\(610\) −19861.4 7228.95i −1.31830 0.479822i
\(611\) −481.594 2731.26i −0.0318874 0.180843i
\(612\) −5130.70 4305.17i −0.338883 0.284356i
\(613\) 19079.8 16009.8i 1.25714 1.05486i 0.261157 0.965296i \(-0.415896\pi\)
0.995981 0.0895677i \(-0.0285486\pi\)
\(614\) −2782.70 + 15781.5i −0.182900 + 1.03728i
\(615\) 4183.44 7245.92i 0.274297 0.475096i
\(616\) 1866.70 + 3233.22i 0.122097 + 0.211478i
\(617\) −14657.1 + 5334.75i −0.956358 + 0.348086i −0.772605 0.634887i \(-0.781047\pi\)
−0.183753 + 0.982972i \(0.558825\pi\)
\(618\) 9193.70 3346.23i 0.598422 0.217808i
\(619\) 7588.12 + 13143.0i 0.492718 + 0.853412i 0.999965 0.00838852i \(-0.00267018\pi\)
−0.507247 + 0.861801i \(0.669337\pi\)
\(620\) 75.2144 130.275i 0.00487207 0.00843867i
\(621\) 11.8074 66.9630i 0.000762985 0.00432710i
\(622\) 14068.9 11805.2i 0.906934 0.761008i
\(623\) 6361.00 + 5337.52i 0.409066 + 0.343247i
\(624\) −558.206 3165.74i −0.0358111 0.203095i
\(625\) −24661.2 8975.93i −1.57831 0.574459i
\(626\) −18634.1 −1.18973
\(627\) 31559.3 + 18107.9i 2.01014 + 1.15336i
\(628\) −13033.5 −0.828174
\(629\) 10079.9 + 3668.78i 0.638969 + 0.232566i
\(630\) 3393.04 + 19242.9i 0.214575 + 1.21691i
\(631\) −13569.0 11385.7i −0.856058 0.718318i 0.105057 0.994466i \(-0.466497\pi\)
−0.961115 + 0.276148i \(0.910942\pi\)
\(632\) 2482.64 2083.18i 0.156257 0.131115i
\(633\) 8801.31 49914.7i 0.552640 3.13417i
\(634\) 904.209 1566.14i 0.0566415 0.0981060i
\(635\) −10367.7 17957.4i −0.647921 1.12223i
\(636\) −3121.18 + 1136.02i −0.194596 + 0.0708270i
\(637\) 5407.80 1968.28i 0.336365 0.122427i
\(638\) −2079.89 3602.48i −0.129066 0.223548i
\(639\) −15823.3 + 27406.8i −0.979594 + 1.69671i
\(640\) −445.345 + 2525.68i −0.0275059 + 0.155994i
\(641\) −5020.83 + 4212.98i −0.309377 + 0.259598i −0.784235 0.620464i \(-0.786944\pi\)
0.474857 + 0.880063i \(0.342500\pi\)
\(642\) 13588.3 + 11402.0i 0.835340 + 0.700934i
\(643\) −1042.67 5913.29i −0.0639486 0.362671i −0.999943 0.0106563i \(-0.996608\pi\)
0.935995 0.352014i \(-0.114503\pi\)
\(644\) −10.9765 3.99511i −0.000671636 0.000244455i
\(645\) −68054.8 −4.15450
\(646\) −1820.04 + 5042.66i −0.110849 + 0.307122i
\(647\) 17229.0 1.04690 0.523448 0.852058i \(-0.324646\pi\)
0.523448 + 0.852058i \(0.324646\pi\)
\(648\) −4138.82 1506.41i −0.250908 0.0913229i
\(649\) 4735.12 + 26854.2i 0.286394 + 1.62422i
\(650\) 9590.18 + 8047.12i 0.578705 + 0.485591i
\(651\) 120.251 100.903i 0.00723964 0.00607478i
\(652\) 186.151 1055.72i 0.0111813 0.0634126i
\(653\) −8926.03 + 15460.3i −0.534920 + 0.926508i 0.464247 + 0.885706i \(0.346325\pi\)
−0.999167 + 0.0408027i \(0.987008\pi\)
\(654\) −2657.89 4603.60i −0.158917 0.275252i
\(655\) 46490.0 16921.0i 2.77331 1.00940i
\(656\) 707.575 257.536i 0.0421131 0.0153279i
\(657\) 10542.0 + 18259.3i 0.626002 + 1.08427i
\(658\) −1154.48 + 1999.62i −0.0683987 + 0.118470i
\(659\) −325.099 + 1843.73i −0.0192171 + 0.108985i −0.992907 0.118889i \(-0.962067\pi\)
0.973690 + 0.227875i \(0.0731777\pi\)
\(660\) 26972.7 22632.8i 1.59078 1.33482i
\(661\) 12577.8 + 10554.1i 0.740123 + 0.621037i 0.932871 0.360211i \(-0.117295\pi\)
−0.192748 + 0.981248i \(0.561740\pi\)
\(662\) −1029.22 5836.99i −0.0604256 0.342691i
\(663\) −6110.55 2224.06i −0.357940 0.130279i
\(664\) −6196.79 −0.362172
\(665\) 13523.9 7856.56i 0.788622 0.458142i
\(666\) 34291.1 1.99513
\(667\) 12.2301 + 4.45138i 0.000709971 + 0.000258408i
\(668\) −1054.09 5978.06i −0.0610540 0.346254i
\(669\) −29755.6 24967.9i −1.71961 1.44292i
\(670\) 19771.1 16589.9i 1.14003 0.956603i
\(671\) −4534.84 + 25718.4i −0.260903 + 1.47965i
\(672\) −1338.14 + 2317.72i −0.0768150 + 0.133048i
\(673\) 299.310 + 518.421i 0.0171435 + 0.0296934i 0.874470 0.485080i \(-0.161209\pi\)
−0.857326 + 0.514773i \(0.827876\pi\)
\(674\) −3421.04 + 1245.16i −0.195510 + 0.0711598i
\(675\) 57012.6 20750.9i 3.25099 1.18326i
\(676\) 3368.63 + 5834.64i 0.191661 + 0.331967i
\(677\) −5081.46 + 8801.35i −0.288473 + 0.499651i −0.973446 0.228919i \(-0.926481\pi\)
0.684972 + 0.728569i \(0.259814\pi\)
\(678\) −4731.95 + 26836.2i −0.268037 + 1.52011i
\(679\) −10689.3 + 8969.42i −0.604152 + 0.506944i
\(680\) 3974.21 + 3334.76i 0.224123 + 0.188062i
\(681\) −2382.51 13511.9i −0.134064 0.760317i
\(682\) −174.657 63.5698i −0.00980637 0.00356923i
\(683\) −18327.0 −1.02674 −0.513371 0.858167i \(-0.671603\pi\)
−0.513371 + 0.858167i \(0.671603\pi\)
\(684\) 46.0586 + 17138.0i 0.00257470 + 0.958025i
\(685\) 1074.10 0.0599113
\(686\) −10578.1 3850.12i −0.588737 0.214283i
\(687\) 7326.14 + 41548.6i 0.406855 + 2.30739i
\(688\) −4691.76 3936.86i −0.259988 0.218156i
\(689\) −1623.20 + 1362.02i −0.0897516 + 0.0753106i
\(690\) −19.1299 + 108.491i −0.00105545 + 0.00598578i
\(691\) 54.8896 95.0716i 0.00302185 0.00523400i −0.864511 0.502615i \(-0.832371\pi\)
0.867532 + 0.497381i \(0.165705\pi\)
\(692\) 8890.01 + 15398.0i 0.488364 + 0.845871i
\(693\) 22686.8 8257.32i 1.24358 0.452625i
\(694\) 14593.0 5311.40i 0.798186 0.290516i
\(695\) −3846.31 6662.01i −0.209927 0.363604i
\(696\) 1490.96 2582.42i 0.0811993 0.140641i
\(697\) 264.501 1500.06i 0.0143740 0.0815191i
\(698\) 9972.49 8367.91i 0.540780 0.453768i
\(699\) −22776.4 19111.7i −1.23245 1.03415i
\(700\) −1809.88 10264.3i −0.0977241 0.554221i
\(701\) 21318.7 + 7759.36i 1.14864 + 0.418070i 0.845026 0.534726i \(-0.179585\pi\)
0.303612 + 0.952796i \(0.401807\pi\)
\(702\) −9938.50 −0.534337
\(703\) −9457.04 25767.3i −0.507367 1.38241i
\(704\) 3168.80 0.169643
\(705\) 20463.0 + 7447.91i 1.09316 + 0.397879i
\(706\) −2639.09 14967.0i −0.140685 0.797864i
\(707\) −4400.05 3692.08i −0.234061 0.196400i
\(708\) −14974.1 + 12564.7i −0.794859 + 0.666966i
\(709\) −1633.44 + 9263.71i −0.0865235 + 0.490699i 0.910494 + 0.413522i \(0.135702\pi\)
−0.997017 + 0.0771768i \(0.975409\pi\)
\(710\) 12256.6 21229.1i 0.647864 1.12213i
\(711\) −10478.8 18149.8i −0.552723 0.957345i
\(712\) 6622.89 2410.53i 0.348600 0.126880i
\(713\) 0.546458 0.198895i 2.87027e−5 1.04469e-5i
\(714\) 2706.89 + 4688.47i 0.141881 + 0.245744i
\(715\) 11231.2 19453.0i 0.587444 1.01748i
\(716\) −591.450 + 3354.28i −0.0308708 + 0.175077i
\(717\) −5751.99 + 4826.50i −0.299599 + 0.251393i
\(718\) −3289.61 2760.31i −0.170985 0.143473i
\(719\) −3550.99 20138.6i −0.184186 1.04457i −0.926997 0.375068i \(-0.877619\pi\)
0.742812 0.669500i \(-0.233492\pi\)
\(720\) 15584.6 + 5672.32i 0.806670 + 0.293604i
\(721\) −5196.31 −0.268406
\(722\) 12865.3 4761.05i 0.663154 0.245413i
\(723\) −47668.5 −2.45202
\(724\) 5717.69 + 2081.07i 0.293503 + 0.106826i
\(725\) 2016.58 + 11436.6i 0.103302 + 0.585854i
\(726\) −15232.5 12781.6i −0.778692 0.653400i
\(727\) −11246.2 + 9436.70i −0.573727 + 0.481414i −0.882880 0.469598i \(-0.844399\pi\)
0.309154 + 0.951012i \(0.399954\pi\)
\(728\) −296.473 + 1681.38i −0.0150934 + 0.0855991i
\(729\) 12048.3 20868.3i 0.612117 1.06022i
\(730\) −8165.79 14143.6i −0.414013 0.717091i
\(731\) −11642.3 + 4237.45i −0.589064 + 0.214402i
\(732\) −17591.5 + 6402.78i −0.888252 + 0.323297i
\(733\) −8525.63 14766.8i −0.429606 0.744099i 0.567232 0.823558i \(-0.308014\pi\)
−0.996838 + 0.0794585i \(0.974681\pi\)
\(734\) −3087.96 + 5348.50i −0.155284 + 0.268960i
\(735\) −7846.51 + 44499.8i −0.393773 + 2.23320i
\(736\) −7.59488 + 6.37286i −0.000380368 + 0.000319167i
\(737\) −24428.6 20498.0i −1.22095 1.02450i
\(738\) −845.550 4795.35i −0.0421750 0.239186i
\(739\) −18432.0 6708.68i −0.917497 0.333942i −0.160255 0.987076i \(-0.551232\pi\)
−0.757242 + 0.653134i \(0.773454\pi\)
\(740\) −26561.7 −1.31950
\(741\) 5732.97 + 15620.5i 0.284219 + 0.774403i
\(742\) 1764.10 0.0872804
\(743\) 29984.0 + 10913.3i 1.48049 + 0.538856i 0.950928 0.309413i \(-0.100133\pi\)
0.529566 + 0.848269i \(0.322355\pi\)
\(744\) −23.1363 131.213i −0.00114008 0.00646571i
\(745\) 31843.0 + 26719.5i 1.56596 + 1.31399i
\(746\) −13281.3 + 11144.3i −0.651825 + 0.546946i
\(747\) −6958.56 + 39463.9i −0.340830 + 1.93294i
\(748\) 3205.05 5551.31i 0.156669 0.271358i
\(749\) −4710.56 8158.92i −0.229800 0.398025i
\(750\) −50604.0 + 18418.3i −2.46373 + 0.896724i
\(751\) 30660.9 11159.6i 1.48979 0.542239i 0.536395 0.843967i \(-0.319786\pi\)
0.953394 + 0.301728i \(0.0975636\pi\)
\(752\) 979.888 + 1697.22i 0.0475171 + 0.0823020i
\(753\) −7175.98 + 12429.2i −0.347287 + 0.601519i
\(754\) 330.332 1873.41i 0.0159549 0.0904848i
\(755\) 4451.76 3735.47i 0.214591 0.180063i
\(756\) 6338.41 + 5318.56i 0.304928 + 0.255865i
\(757\) 4285.83 + 24306.1i 0.205774 + 1.16700i 0.896217 + 0.443616i \(0.146305\pi\)
−0.690443 + 0.723387i \(0.742584\pi\)
\(758\) 2421.01 + 881.177i 0.116009 + 0.0422240i
\(759\) 136.117 0.00650952
\(760\) −35.6767 13275.0i −0.00170280 0.633599i
\(761\) 12530.3 0.596876 0.298438 0.954429i \(-0.403534\pi\)
0.298438 + 0.954429i \(0.403534\pi\)
\(762\) −17258.1 6281.42i −0.820464 0.298624i
\(763\) 490.261 + 2780.41i 0.0232617 + 0.131923i
\(764\) 12987.5 + 10897.8i 0.615016 + 0.516059i
\(765\) 25700.0 21564.8i 1.21462 1.01919i
\(766\) −4283.69 + 24294.0i −0.202057 + 1.14592i
\(767\) −6235.06 + 10799.4i −0.293527 + 0.508403i
\(768\) 1135.77 + 1967.21i 0.0533640 + 0.0924291i
\(769\) 19987.7 7274.94i 0.937290 0.341145i 0.172195 0.985063i \(-0.444914\pi\)