Properties

Label 38.4.e.a.5.1
Level $38$
Weight $4$
Character 38.5
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 5.1
Root \(5.05412 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 38.5
Dual form 38.4.e.a.23.1

$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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 0.364389 + 0.931247i \(0.381278\pi\)
−0.660919 + 0.750457i \(0.729833\pi\)
\(4\) 3.06418 2.57115i 0.383022 0.321394i
\(5\) −15.3487 12.8791i −1.37283 1.15194i −0.971783 0.235878i \(-0.924203\pi\)
−0.401043 0.916059i \(-0.631352\pi\)
\(6\) −3.08163 17.4768i −0.209678 1.18914i
\(7\) 4.71270 + 8.16264i 0.254462 + 0.440741i 0.964749 0.263171i \(-0.0847683\pi\)
−0.710287 + 0.703912i \(0.751435\pi\)
\(8\) −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 0.296839 + 0.954927i \(0.404067\pi\)
−0.975411 + 0.220393i \(0.929266\pi\)
\(12\) 17.7464 + 30.7376i 0.426912 + 0.739433i
\(13\) 3.93183 + 22.2985i 0.0838841 + 0.475730i 0.997592 + 0.0693584i \(0.0220952\pi\)
−0.913708 + 0.406372i \(0.866794\pi\)
\(14\) −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 −0.115823 0.993270i \(-0.536951\pi\)
0.549736 + 0.835338i \(0.314728\pi\)
\(18\) 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 −0.643863 0.765141i \(-0.722669\pi\)
0.641711 + 0.766946i \(0.278225\pi\)
\(24\) −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 0.212531 0.977154i \(-0.431829\pi\)
−0.465295 + 0.885156i \(0.654052\pi\)
\(30\) −177.785 + 307.933i −1.08197 + 1.87402i
\(31\) −0.938479 1.62549i −0.00543728 0.00941765i 0.863294 0.504701i \(-0.168397\pi\)
−0.868731 + 0.495284i \(0.835064\pi\)
\(32\) 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 −0.996408 0.0846794i \(-0.973013\pi\)
0.965280 + 0.261219i \(0.0841245\pi\)
\(42\) 128.134 107.517i 0.470750 0.395006i
\(43\) −293.235 246.054i −1.03995 0.872624i −0.0479511 0.998850i \(-0.515269\pi\)
−0.992002 + 0.126226i \(0.959714\pi\)
\(44\) 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 0.514391 0.857556i \(-0.328018\pi\)
−0.157180 + 0.987570i \(0.550240\pi\)
\(48\) 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 −0.730941 0.682441i \(-0.760919\pi\)
0.545146 + 0.838341i \(0.316474\pi\)
\(54\) −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 −0.842624 0.538503i \(-0.818990\pi\)
−0.299345 + 0.954145i \(0.596768\pi\)
\(60\) 123.489 700.338i 0.265705 1.50689i
\(61\) −404.046 + 339.035i −0.848079 + 0.711623i −0.959366 0.282166i \(-0.908947\pi\)
0.111287 + 0.993788i \(0.464503\pi\)
\(62\) 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 0.828634 0.559790i \(-0.189118\pi\)
0.274945 + 0.961460i \(0.411340\pi\)
\(68\) 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 0.944074 0.329732i \(-0.106959\pi\)
−0.160786 + 0.986989i \(0.551403\pi\)
\(72\) 317.042 266.030i 0.518940 0.435443i
\(73\) −70.7704 + 401.359i −0.113466 + 0.643500i 0.874032 + 0.485869i \(0.161497\pi\)
−0.987498 + 0.157631i \(0.949614\pi\)
\(74\) −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 −0.892851 0.450353i \(-0.851298\pi\)
0.993035 0.117820i \(-0.0375907\pi\)
\(80\) −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 0.999900 + 0.0141312i \(0.00449824\pi\)
−0.487712 + 0.873005i \(0.662168\pi\)
\(84\) −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 −0.929496 0.368832i \(-0.879758\pi\)
0.747292 0.664495i \(-0.231353\pi\)
\(90\) −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 −0.944319 0.329031i \(-0.893278\pi\)
−0.511894 + 0.859049i \(0.671056\pi\)
\(98\) −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 0.991516 + 0.129987i \(0.0414935\pi\)
−0.887262 + 0.461266i \(0.847395\pi\)
\(102\) −287.191 497.429i −0.278785 0.482870i
\(103\) −275.654 + 477.447i −0.263699 + 0.456740i −0.967222 0.253932i \(-0.918276\pi\)
0.703523 + 0.710673i \(0.251609\pi\)
\(104\) −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 0.998482 0.0550801i \(-0.0175414\pi\)
−0.546942 + 0.837171i \(0.684208\pi\)
\(108\) −152.439 864.526i −0.135819 0.770269i
\(109\) −229.462 192.542i −0.201638 0.169194i 0.536378 0.843978i \(-0.319792\pi\)
−0.738015 + 0.674784i \(0.764237\pi\)
\(110\) −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 −0.980972 0.194149i \(-0.937805\pi\)
0.855409 0.517953i \(-0.173306\pi\)
\(128\) 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 −0.967834 0.251588i \(-0.919047\pi\)
−0.579686 + 0.814840i \(0.696825\pi\)
\(132\) −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 −0.655503 0.755193i \(-0.727543\pi\)
0.629893 + 0.776682i \(0.283099\pi\)
\(138\) 4.21193 + 3.53423i 0.00259814 + 0.00218010i
\(139\) −66.6697 378.103i −0.0406824 0.230721i 0.957687 0.287813i \(-0.0929283\pi\)
−0.998369 + 0.0570921i \(0.981817\pi\)
\(140\) −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 0.709891 + 0.704312i \(0.248744\pi\)
−0.907968 + 0.419040i \(0.862367\pi\)
\(150\) 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 −0.994682 0.102994i \(-0.967158\pi\)
−0.274154 0.961686i \(-0.588398\pi\)
\(158\) 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 −0.896424 0.443198i \(-0.853844\pi\)
0.832033 + 0.554726i \(0.187177\pi\)
\(164\) 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 −0.871085 0.491132i \(-0.836583\pi\)
0.332409 + 0.943135i \(0.392139\pi\)
\(168\) 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 0.844465 0.535611i \(-0.179919\pi\)
0.991182 0.132510i \(-0.0423036\pi\)
\(174\) −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 −0.763341 0.645996i \(-0.776442\pi\)
0.941119 + 0.338075i \(0.109776\pi\)
\(180\) 3896.14 + 1418.08i 1.61334 + 0.587208i
\(181\) 1429.42 + 520.267i 0.587006 + 0.213653i 0.618412 0.785854i \(-0.287776\pi\)
−0.0314058 + 0.999507i \(0.509998\pi\)
\(182\) 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 −0.941265 0.337669i \(-0.890362\pi\)
0.999989 + 0.00462659i \(0.00147269\pi\)
\(194\) 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 0.932664 + 0.360746i \(0.117478\pi\)
−0.153917 + 0.988084i \(0.549189\pi\)
\(198\) −2561.46 + 4436.57i −0.919368 + 1.59239i
\(199\) −2260.36 822.705i −0.805190 0.293065i −0.0935547 0.995614i \(-0.529823\pi\)
−0.711636 + 0.702549i \(0.752045\pi\)
\(200\) −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 0.751544 0.659683i \(-0.229310\pi\)
0.999752 + 0.0222640i \(0.00708744\pi\)
\(212\) −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 0.987939 0.154841i \(-0.0494864\pi\)
0.0190656 + 0.999818i \(0.493931\pi\)
\(224\) −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 0.927862 0.372924i \(-0.121645\pi\)
−0.206137 + 0.978523i \(0.566089\pi\)
\(234\) 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 −0.917585 0.397539i \(-0.869864\pi\)
0.803072 + 0.595883i \(0.203198\pi\)
\(240\) −1422.28 2463.47i −0.382533 0.662567i
\(241\) 932.872 + 5290.58i 0.249343 + 1.41409i 0.810187 + 0.586171i \(0.199365\pi\)
−0.560845 + 0.827921i \(0.689523\pi\)
\(242\) 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 −0.785146 0.619311i \(-0.787412\pi\)
0.473563 + 0.880760i \(0.342968\pi\)
\(252\) −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 0.208118 0.978104i \(-0.433266\pi\)
−0.469286 + 0.883046i \(0.655489\pi\)
\(258\) −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 −0.954424 0.298454i \(-0.903529\pi\)
0.998943 + 0.0459769i \(0.0146401\pi\)
\(264\) 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 −0.987237 0.159259i \(-0.949089\pi\)
0.982169 + 0.188000i \(0.0602006\pi\)
\(270\) 6737.00 5653.02i 1.51852 1.27419i
\(271\) −1908.33 1601.28i −0.427759 0.358933i 0.403346 0.915047i \(-0.367847\pi\)
−0.831106 + 0.556115i \(0.812292\pi\)
\(272\) −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 −0.0679880 0.997686i \(-0.521658\pi\)
0.898016 0.439964i \(-0.145009\pi\)
\(278\) 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 −0.941983 0.335660i \(-0.891041\pi\)
0.166987 + 0.985959i \(0.446596\pi\)
\(282\) 377.456 2140.66i 0.0797064 0.452037i
\(283\) −644.294 + 234.504i −0.135333 + 0.0492572i −0.408799 0.912625i \(-0.634052\pi\)
0.273466 + 0.961882i \(0.411830\pi\)
\(284\) 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 −0.733905 0.679252i \(-0.762305\pi\)
0.955202 + 0.295955i \(0.0956378\pi\)
\(294\) −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 0.527840 + 0.849344i \(0.323002\pi\)
−0.786500 + 0.617590i \(0.788109\pi\)
\(308\) −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 −0.892262 0.451517i \(-0.850883\pi\)
0.0551056 0.998481i \(-0.482450\pi\)
\(312\) 803.645 1391.95i 0.145825 0.252577i
\(313\) 8755.18 + 3186.62i 1.58106 + 0.575459i 0.975434 0.220290i \(-0.0707005\pi\)
0.605626 + 0.795749i \(0.292923\pi\)
\(314\) 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 0.967733 0.251976i \(-0.0810806\pi\)
−0.995553 + 0.0942039i \(0.969969\pi\)
\(318\) 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 −0.716371 0.697719i \(-0.754198\pi\)
0.962428 + 0.271536i \(0.0875316\pi\)
\(332\) 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 0.748493 0.663143i \(-0.230778\pi\)
−0.523094 + 0.852275i \(0.675222\pi\)
\(338\) −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 0.0538232 0.998550i \(-0.482859\pi\)
−0.974034 + 0.226402i \(0.927304\pi\)
\(348\) −258.903 1468.31i −0.0398812 0.226177i
\(349\) −3254.54 5637.03i −0.499173 0.864594i 0.500826 0.865548i \(-0.333030\pi\)
−1.00000 0.000954101i \(0.999696\pi\)
\(350\) 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 −0.423390 0.905947i \(-0.639160\pi\)
0.996269 0.0863071i \(-0.0275066\pi\)
\(354\) 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 −0.189422 0.981896i \(-0.560661\pi\)
0.486045 + 0.873934i \(0.338439\pi\)
\(360\) −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 0.998901 + 0.0468596i \(0.0149214\pi\)
−0.922633 + 0.385678i \(0.873968\pi\)
\(368\) 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 0.992568 + 0.121695i \(0.0388330\pi\)
−0.390893 + 0.920436i \(0.627834\pi\)
\(374\) −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 0.416833 + 0.908983i \(0.363140\pi\)
−0.702586 + 0.711599i \(0.747971\pi\)
\(384\) −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 0.0278129 0.999613i \(-0.491146\pi\)
−0.621233 + 0.783626i \(0.713368\pi\)
\(390\) −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 0.100998 0.994887i \(-0.467797\pi\)
0.716870 + 0.697207i \(0.245574\pi\)
\(398\) 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 −0.611780 0.791028i \(-0.709546\pi\)
0.0398128 + 0.999207i \(0.487324\pi\)
\(402\) 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 0.659669 0.751556i \(-0.270697\pi\)
0.0222444 + 0.999753i \(0.492919\pi\)
\(410\) −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 −0.934637 0.355604i \(-0.884275\pi\)
0.999895 0.0144944i \(-0.00461386\pi\)
\(422\) −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 0.946165 + 0.323683i \(0.104921\pi\)
−0.778398 + 0.627771i \(0.783968\pi\)
\(432\) −2689.93 2257.12i −0.299581 0.251379i
\(433\) −9085.03 + 7623.25i −1.00831 + 0.846073i −0.988114 0.153723i \(-0.950874\pi\)
−0.0201970 + 0.999796i \(0.506429\pi\)
\(434\) −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 −0.143093 0.989709i \(-0.545705\pi\)
0.526558 + 0.850139i \(0.323482\pi\)
\(440\) −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 −0.992785 0.119912i \(-0.961739\pi\)
0.891900 0.452232i \(-0.149372\pi\)
\(444\) 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 0.858684 0.512505i \(-0.171283\pi\)
−0.873185 + 0.487390i \(0.837949\pi\)
\(450\) 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 0.513988 0.857798i \(-0.328168\pi\)
−0.755513 + 0.655134i \(0.772612\pi\)
\(462\) 1438.12 + 8155.98i 0.144821 + 0.821322i
\(463\) −4037.27 6992.76i −0.405244 0.701903i 0.589106 0.808056i \(-0.299480\pi\)
−0.994350 + 0.106153i \(0.966147\pi\)
\(464\) −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 −0.0822446 + 0.996612i \(0.526209\pi\)
−0.821969 + 0.569532i \(0.807124\pi\)
\(468\) −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 −0.628278 0.777989i \(-0.716240\pi\)
0.657070 + 0.753829i \(0.271795\pi\)
\(480\) 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 0.999996 0.00297872i \(-0.000948157\pi\)
−0.502577 + 0.864532i \(0.667615\pi\)
\(488\) −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 −0.953710 0.300729i \(-0.902770\pi\)
0.999049 + 0.0435952i \(0.0138812\pi\)
\(492\) −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 0.700939 0.713221i \(-0.252765\pi\)
−0.580669 + 0.814140i \(0.697209\pi\)
\(500\) −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 0.658888 0.752241i \(-0.271027\pi\)
0.0212063 + 0.999775i \(0.493249\pi\)
\(504\) 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 0.375969 0.926632i \(-0.377310\pi\)
0.977841 0.209349i \(-0.0671345\pi\)
\(510\) −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 −0.468219 0.883612i \(-0.655104\pi\)
0.999340 0.0363166i \(-0.0115625\pi\)
\(522\) −4084.27 1486.55i −0.342459 0.124645i
\(523\) −8670.46 3155.79i −0.724919 0.263849i −0.0469064 0.998899i \(-0.514936\pi\)
−0.678012 + 0.735050i \(0.737158\pi\)
\(524\) −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 −0.0911182 0.995840i \(-0.529044\pi\)
−0.709914 + 0.704288i \(0.751266\pi\)
\(542\) 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 −0.877003 0.480485i \(-0.840461\pi\)
0.320895 + 0.947115i \(0.396016\pi\)
\(548\) −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 −0.875101 0.483940i \(-0.839205\pi\)
0.656809 0.754057i \(-0.271906\pi\)
\(558\) −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 0.727404 0.686210i \(-0.240727\pi\)
−0.957977 + 0.286845i \(0.907393\pi\)
\(564\) 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 0.849069 0.528283i \(-0.177164\pi\)
−0.882040 + 0.471174i \(0.843830\pi\)
\(578\) 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 −0.0262884 0.999654i \(-0.508369\pi\)
0.622427 + 0.782678i \(0.286147\pi\)
\(588\) 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 −0.439633 0.898177i \(-0.644892\pi\)
0.808191 + 0.588921i \(0.200447\pi\)
\(594\) −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 −0.172292 0.985046i \(-0.555117\pi\)
−0.765159 + 0.643842i \(0.777340\pi\)
\(600\) 9812.02 16994.9i 0.667623 1.15636i
\(601\) 9988.09 + 17299.9i 0.677908 + 1.17417i 0.975610 + 0.219513i \(0.0704467\pi\)
−0.297701 + 0.954659i \(0.596220\pi\)
\(602\) 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 0.995981 + 0.0895677i \(0.0285486\pi\)
0.261157 + 0.965296i \(0.415896\pi\)
\(614\) −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 −0.183753 0.982972i \(-0.558825\pi\)
−0.772605 + 0.634887i \(0.781047\pi\)
\(618\) 9193.70 + 3346.23i 0.598422 + 0.217808i
\(619\) 7588.12 13143.0i 0.492718 0.853412i −0.507247 0.861801i \(-0.669337\pi\)
0.999965 + 0.00838852i \(0.00267018\pi\)
\(620\) 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 −0.961115 0.276148i \(-0.910942\pi\)
0.105057 + 0.994466i \(0.466497\pi\)
\(632\) 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 0.474857 0.880063i \(-0.342500\pi\)
−0.784235 + 0.620464i \(0.786944\pi\)
\(642\) 13588.3 11402.0i 0.835340 0.700934i
\(643\) −1042.67 + 5913.29i −0.0639486 + 0.362671i 0.935995 + 0.352014i \(0.114503\pi\)
−0.999943 + 0.0106563i \(0.996608\pi\)
\(644\) −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 −0.999167 0.0408027i \(-0.987008\pi\)
0.464247 0.885706i \(-0.346325\pi\)
\(654\) −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 0.973690 0.227875i \(-0.0731777\pi\)
−0.992907 + 0.118889i \(0.962067\pi\)
\(660\) 26972.7 + 22632.8i 1.59078 + 1.33482i
\(661\) 12577.8 10554.1i 0.740123 0.621037i −0.192748 0.981248i \(-0.561740\pi\)
0.932871 + 0.360211i \(0.117295\pi\)
\(662\) −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 −0.857326 0.514773i \(-0.827876\pi\)
0.874470 + 0.485080i \(0.161209\pi\)
\(674\) −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 0.684972 0.728569i \(-0.259814\pi\)
−0.973446 + 0.228919i \(0.926481\pi\)
\(678\) −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 0.867532 0.497381i \(-0.165705\pi\)
−0.864511 + 0.502615i \(0.832371\pi\)
\(692\) 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 0.303612 0.952796i \(-0.401807\pi\)
0.845026 + 0.534726i \(0.179585\pi\)
\(702\) −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 −0.997017 0.0771768i \(-0.975409\pi\)
0.910494 0.413522i \(-0.135702\pi\)
\(710\) 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 0.742812 + 0.669500i \(0.233492\pi\)
−0.926997 + 0.375068i \(0.877619\pi\)
\(720\) 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 0.309154 0.951012i \(-0.399954\pi\)
−0.882880 + 0.469598i \(0.844399\pi\)
\(728\) −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 −0.996838 0.0794585i \(-0.974681\pi\)
0.567232 + 0.823558i \(0.308014\pi\)
\(734\) −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 −0.757242 0.653134i \(-0.773454\pi\)
−0.160255 + 0.987076i \(0.551232\pi\)
\(740\) −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 0.529566 0.848269i \(-0.322355\pi\)
0.950928 + 0.309413i \(0.100133\pi\)
\(744\) −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 0.953394 0.301728i \(-0.0975636\pi\)
0.536395 + 0.843967i \(0.319786\pi\)
\(752\) 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 −0.690443 0.723387i \(-0.742584\pi\)
0.896217 0.443616i \(-0.146305\pi\)
\(758\) 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 0.765095 0.643917i