Properties

Label 230.3.i.a.19.2
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.2
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(-1.02272 - 3.48306i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.37251 - 4.40127i) q^{5} +(3.36189 + 3.87983i) q^{6} +(-1.08475 - 7.54462i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-3.51448 + 2.25862i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(-1.02272 - 3.48306i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.37251 - 4.40127i) q^{5} +(3.36189 + 3.87983i) q^{6} +(-1.08475 - 7.54462i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-3.51448 + 2.25862i) q^{9} +(5.63771 + 4.26804i) q^{10} +(-6.50838 - 2.97228i) q^{11} +(-6.60412 - 3.01600i) q^{12} +(7.13042 + 1.02520i) q^{13} +(5.82780 + 9.06823i) q^{14} +(-12.9035 + 12.7649i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(5.52068 + 6.37120i) q^{17} +(3.19417 - 4.97022i) q^{18} +(5.13612 + 4.45047i) q^{19} +(-9.75985 - 2.17840i) q^{20} +(-25.1690 + 11.4943i) q^{21} +10.1186 q^{22} +(-19.1315 + 12.7666i) q^{23} +10.2675 q^{24} +(-13.7424 + 20.8841i) q^{25} +(-9.77497 + 2.87019i) q^{26} +(-13.2298 - 11.4637i) q^{27} +(-12.8244 - 8.24175i) q^{28} +(-0.932091 - 1.07569i) q^{29} +(9.10006 - 24.0015i) q^{30} +(-6.94594 - 2.03951i) q^{31} +(3.05833 + 4.75885i) q^{32} +(-3.69638 + 25.7089i) q^{33} +(-10.8449 - 4.95269i) q^{34} +(-30.6323 + 22.6740i) q^{35} +(-1.18909 + 8.27029i) q^{36} +(36.5317 - 23.4775i) q^{37} +(-9.22176 - 2.70775i) q^{38} +(-3.72158 - 25.8842i) q^{39} +(13.8350 - 2.93145i) q^{40} +(-39.5895 - 25.4426i) q^{41} +(25.6250 - 29.5728i) q^{42} +(-29.5620 + 8.68018i) q^{43} +(-13.0168 + 5.94456i) q^{44} +(18.2789 + 10.1096i) q^{45} +(17.1108 - 27.6626i) q^{46} +9.78818i q^{47} +(-13.2082 + 6.03200i) q^{48} +(-8.72945 + 2.56320i) q^{49} +(5.40930 - 34.9391i) q^{50} +(16.5452 - 25.7448i) q^{51} +(10.8885 - 9.43490i) q^{52} +(11.3566 + 78.9868i) q^{53} +(23.7538 + 6.97475i) q^{54} +(2.35939 + 35.6969i) q^{55} +(21.3394 + 3.06814i) q^{56} +(10.2485 - 22.4410i) q^{57} +(1.83101 + 0.836193i) q^{58} +(6.75171 - 46.9592i) q^{59} +(2.39409 + 36.2220i) q^{60} +(24.4195 - 83.1653i) q^{61} +(10.1335 - 1.45698i) q^{62} +(20.8528 + 24.0654i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(-12.4048 - 33.8152i) q^{65} +(-10.3485 - 35.2439i) q^{66} +(-8.95746 - 19.6141i) q^{67} +16.8606 q^{68} +(64.0330 + 53.5795i) q^{69} +(26.0852 - 47.1642i) q^{70} +(-15.1000 - 33.0644i) q^{71} +(-3.32902 - 11.3376i) q^{72} +(52.8412 + 45.7871i) q^{73} +(-33.2022 + 51.6637i) q^{74} +(86.7953 + 26.5070i) q^{75} +(13.4538 - 1.93436i) q^{76} +(-15.3647 + 52.3275i) q^{77} +(19.9941 + 31.1114i) q^{78} +(27.7861 + 3.99503i) q^{79} +(-16.0753 + 11.8989i) q^{80} +(-42.0176 + 92.0057i) q^{81} +(65.8756 + 9.47148i) q^{82} +(94.6575 - 60.8327i) q^{83} +(-15.5907 + 53.0972i) q^{84} +(14.9435 - 39.4138i) q^{85} +(32.9295 - 28.5335i) q^{86} +(-2.79343 + 4.34666i) q^{87} +(13.2526 - 15.2943i) q^{88} +(14.2967 + 48.6902i) q^{89} +(-29.4535 - 2.26651i) q^{90} -54.9084i q^{91} +(-5.76024 + 45.6379i) q^{92} +26.2790i q^{93} +(-5.75042 - 12.5917i) q^{94} +(7.40225 - 33.1642i) q^{95} +(13.4476 - 15.5193i) q^{96} +(53.0112 + 34.0682i) q^{97} +(9.72385 - 8.42576i) q^{98} +(29.5868 - 4.25394i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28641 + 0.587486i −0.643207 + 0.293743i
\(3\) −1.02272 3.48306i −0.340906 1.16102i −0.934413 0.356191i \(-0.884075\pi\)
0.593507 0.804829i \(-0.297743\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) −2.37251 4.40127i −0.474502 0.880255i
\(6\) 3.36189 + 3.87983i 0.560315 + 0.646638i
\(7\) −1.08475 7.54462i −0.154965 1.07780i −0.907742 0.419528i \(-0.862196\pi\)
0.752778 0.658275i \(-0.228714\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) −3.51448 + 2.25862i −0.390498 + 0.250958i
\(10\) 5.63771 + 4.26804i 0.563771 + 0.426804i
\(11\) −6.50838 2.97228i −0.591671 0.270207i 0.0969960 0.995285i \(-0.469077\pi\)
−0.688667 + 0.725078i \(0.741804\pi\)
\(12\) −6.60412 3.01600i −0.550343 0.251333i
\(13\) 7.13042 + 1.02520i 0.548494 + 0.0788615i 0.410990 0.911640i \(-0.365183\pi\)
0.137504 + 0.990501i \(0.456092\pi\)
\(14\) 5.82780 + 9.06823i 0.416271 + 0.647731i
\(15\) −12.9035 + 12.7649i −0.860233 + 0.850991i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 5.52068 + 6.37120i 0.324746 + 0.374777i 0.894523 0.447023i \(-0.147516\pi\)
−0.569777 + 0.821800i \(0.692970\pi\)
\(18\) 3.19417 4.97022i 0.177454 0.276123i
\(19\) 5.13612 + 4.45047i 0.270322 + 0.234235i 0.779464 0.626447i \(-0.215492\pi\)
−0.509142 + 0.860683i \(0.670037\pi\)
\(20\) −9.75985 2.17840i −0.487992 0.108920i
\(21\) −25.1690 + 11.4943i −1.19852 + 0.547347i
\(22\) 10.1186 0.459938
\(23\) −19.1315 + 12.7666i −0.831804 + 0.555069i
\(24\) 10.2675 0.427812
\(25\) −13.7424 + 20.8841i −0.549696 + 0.835365i
\(26\) −9.77497 + 2.87019i −0.375960 + 0.110392i
\(27\) −13.2298 11.4637i −0.489994 0.424582i
\(28\) −12.8244 8.24175i −0.458015 0.294348i
\(29\) −0.932091 1.07569i −0.0321411 0.0370928i 0.739451 0.673210i \(-0.235085\pi\)
−0.771593 + 0.636117i \(0.780540\pi\)
\(30\) 9.10006 24.0015i 0.303335 0.800050i
\(31\) −6.94594 2.03951i −0.224063 0.0657907i 0.167774 0.985825i \(-0.446342\pi\)
−0.391837 + 0.920035i \(0.628160\pi\)
\(32\) 3.05833 + 4.75885i 0.0955727 + 0.148714i
\(33\) −3.69638 + 25.7089i −0.112012 + 0.779058i
\(34\) −10.8449 4.95269i −0.318967 0.145667i
\(35\) −30.6323 + 22.6740i −0.875210 + 0.647828i
\(36\) −1.18909 + 8.27029i −0.0330302 + 0.229730i
\(37\) 36.5317 23.4775i 0.987344 0.634528i 0.0559094 0.998436i \(-0.482194\pi\)
0.931435 + 0.363908i \(0.118558\pi\)
\(38\) −9.22176 2.70775i −0.242678 0.0712567i
\(39\) −3.72158 25.8842i −0.0954253 0.663697i
\(40\) 13.8350 2.93145i 0.345874 0.0732862i
\(41\) −39.5895 25.4426i −0.965596 0.620551i −0.0400550 0.999197i \(-0.512753\pi\)
−0.925541 + 0.378646i \(0.876390\pi\)
\(42\) 25.6250 29.5728i 0.610119 0.704115i
\(43\) −29.5620 + 8.68018i −0.687488 + 0.201865i −0.606776 0.794873i \(-0.707538\pi\)
−0.0807118 + 0.996737i \(0.525719\pi\)
\(44\) −13.0168 + 5.94456i −0.295836 + 0.135104i
\(45\) 18.2789 + 10.1096i 0.406198 + 0.224657i
\(46\) 17.1108 27.6626i 0.371975 0.601361i
\(47\) 9.78818i 0.208259i 0.994564 + 0.104130i \(0.0332057\pi\)
−0.994564 + 0.104130i \(0.966794\pi\)
\(48\) −13.2082 + 6.03200i −0.275172 + 0.125667i
\(49\) −8.72945 + 2.56320i −0.178152 + 0.0523102i
\(50\) 5.40930 34.9391i 0.108186 0.698782i
\(51\) 16.5452 25.7448i 0.324415 0.504800i
\(52\) 10.8885 9.43490i 0.209393 0.181440i
\(53\) 11.3566 + 78.9868i 0.214275 + 1.49032i 0.758663 + 0.651484i \(0.225853\pi\)
−0.544387 + 0.838834i \(0.683238\pi\)
\(54\) 23.7538 + 6.97475i 0.439885 + 0.129162i
\(55\) 2.35939 + 35.6969i 0.0428980 + 0.649035i
\(56\) 21.3394 + 3.06814i 0.381061 + 0.0547883i
\(57\) 10.2485 22.4410i 0.179797 0.393702i
\(58\) 1.83101 + 0.836193i 0.0315691 + 0.0144171i
\(59\) 6.75171 46.9592i 0.114436 0.795918i −0.849080 0.528265i \(-0.822843\pi\)
0.963515 0.267653i \(-0.0862481\pi\)
\(60\) 2.39409 + 36.2220i 0.0399016 + 0.603700i
\(61\) 24.4195 83.1653i 0.400320 1.36337i −0.475070 0.879948i \(-0.657577\pi\)
0.875390 0.483417i \(-0.160605\pi\)
\(62\) 10.1335 1.45698i 0.163444 0.0234997i
\(63\) 20.8528 + 24.0654i 0.330996 + 0.381990i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) −12.4048 33.8152i −0.190843 0.520234i
\(66\) −10.3485 35.2439i −0.156796 0.533998i
\(67\) −8.95746 19.6141i −0.133693 0.292748i 0.830931 0.556375i \(-0.187808\pi\)
−0.964625 + 0.263628i \(0.915081\pi\)
\(68\) 16.8606 0.247950
\(69\) 64.0330 + 53.5795i 0.928014 + 0.776515i
\(70\) 26.0852 47.1642i 0.372646 0.673774i
\(71\) −15.1000 33.0644i −0.212676 0.465695i 0.772987 0.634422i \(-0.218762\pi\)
−0.985663 + 0.168727i \(0.946034\pi\)
\(72\) −3.32902 11.3376i −0.0462363 0.157467i
\(73\) 52.8412 + 45.7871i 0.723852 + 0.627221i 0.936809 0.349840i \(-0.113764\pi\)
−0.212958 + 0.977061i \(0.568310\pi\)
\(74\) −33.2022 + 51.6637i −0.448679 + 0.698158i
\(75\) 86.7953 + 26.5070i 1.15727 + 0.353427i
\(76\) 13.4538 1.93436i 0.177023 0.0254521i
\(77\) −15.3647 + 52.3275i −0.199542 + 0.679578i
\(78\) 19.9941 + 31.1114i 0.256334 + 0.398864i
\(79\) 27.7861 + 3.99503i 0.351723 + 0.0505701i 0.315912 0.948789i \(-0.397690\pi\)
0.0358106 + 0.999359i \(0.488599\pi\)
\(80\) −16.0753 + 11.8989i −0.200942 + 0.148736i
\(81\) −42.0176 + 92.0057i −0.518736 + 1.13587i
\(82\) 65.8756 + 9.47148i 0.803361 + 0.115506i
\(83\) 94.6575 60.8327i 1.14045 0.732924i 0.172736 0.984968i \(-0.444739\pi\)
0.967716 + 0.252044i \(0.0811029\pi\)
\(84\) −15.5907 + 53.0972i −0.185604 + 0.632110i
\(85\) 14.9435 39.4138i 0.175806 0.463691i
\(86\) 32.9295 28.5335i 0.382901 0.331785i
\(87\) −2.79343 + 4.34666i −0.0321084 + 0.0499616i
\(88\) 13.2526 15.2943i 0.150598 0.173799i
\(89\) 14.2967 + 48.6902i 0.160637 + 0.547080i 0.999994 + 0.00349920i \(0.00111383\pi\)
−0.839357 + 0.543581i \(0.817068\pi\)
\(90\) −29.4535 2.26651i −0.327261 0.0251834i
\(91\) 54.9084i 0.603389i
\(92\) −5.76024 + 45.6379i −0.0626113 + 0.496064i
\(93\) 26.2790i 0.282570i
\(94\) −5.75042 12.5917i −0.0611746 0.133954i
\(95\) 7.40225 33.1642i 0.0779184 0.349097i
\(96\) 13.4476 15.5193i 0.140079 0.161659i
\(97\) 53.0112 + 34.0682i 0.546507 + 0.351219i 0.784579 0.620029i \(-0.212879\pi\)
−0.238072 + 0.971247i \(0.576515\pi\)
\(98\) 9.72385 8.42576i 0.0992229 0.0859772i
\(99\) 29.5868 4.25394i 0.298857 0.0429691i
\(100\) 13.5676 + 48.1240i 0.135676 + 0.481240i
\(101\) −119.624 + 76.8778i −1.18440 + 0.761167i −0.976190 0.216918i \(-0.930400\pi\)
−0.208209 + 0.978084i \(0.566763\pi\)
\(102\) −6.15925 + 42.8385i −0.0603848 + 0.419986i
\(103\) 75.9963 166.409i 0.737828 1.61562i −0.0492659 0.998786i \(-0.515688\pi\)
0.787094 0.616833i \(-0.211585\pi\)
\(104\) −8.46419 + 18.5340i −0.0813865 + 0.178212i
\(105\) 110.303 + 83.5052i 1.05051 + 0.795288i
\(106\) −61.0129 94.9379i −0.575593 0.895641i
\(107\) −141.190 41.4572i −1.31953 0.387450i −0.455209 0.890385i \(-0.650435\pi\)
−0.864324 + 0.502935i \(0.832254\pi\)
\(108\) −34.6548 + 4.98261i −0.320878 + 0.0461352i
\(109\) 22.0957 19.1460i 0.202713 0.175652i −0.547588 0.836748i \(-0.684454\pi\)
0.750301 + 0.661096i \(0.229909\pi\)
\(110\) −24.0066 44.5349i −0.218242 0.404863i
\(111\) −119.135 103.231i −1.07329 0.930012i
\(112\) −29.2538 + 8.58969i −0.261195 + 0.0766937i
\(113\) −57.2688 125.401i −0.506804 1.10975i −0.974198 0.225696i \(-0.927534\pi\)
0.467394 0.884049i \(-0.345193\pi\)
\(114\) 34.8892i 0.306046i
\(115\) 101.579 + 53.9141i 0.883295 + 0.468818i
\(116\) −2.84668 −0.0245404
\(117\) −27.3753 + 12.5019i −0.233977 + 0.106853i
\(118\) 18.9023 + 64.3754i 0.160189 + 0.545555i
\(119\) 42.0797 48.5626i 0.353611 0.408089i
\(120\) −24.3597 45.1900i −0.202998 0.376584i
\(121\) −45.7135 52.7562i −0.377798 0.436002i
\(122\) 17.4448 + 121.331i 0.142990 + 0.994517i
\(123\) −48.1292 + 163.913i −0.391295 + 1.33263i
\(124\) −12.1800 + 7.82759i −0.0982256 + 0.0631258i
\(125\) 124.521 + 10.9363i 0.996165 + 0.0874903i
\(126\) −40.9633 18.7073i −0.325106 0.148471i
\(127\) −209.869 95.8441i −1.65251 0.754678i −0.652520 0.757772i \(-0.726288\pi\)
−0.999995 + 0.00309347i \(0.999015\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) 60.4672 + 94.0888i 0.468738 + 0.729370i
\(130\) 35.8237 + 36.2127i 0.275567 + 0.278560i
\(131\) −19.2147 133.641i −0.146677 1.02016i −0.921610 0.388117i \(-0.873126\pi\)
0.774933 0.632043i \(-0.217783\pi\)
\(132\) 34.0178 + 39.2586i 0.257710 + 0.297413i
\(133\) 28.0057 43.5777i 0.210569 0.327652i
\(134\) 23.0460 + 19.9695i 0.171985 + 0.149026i
\(135\) −19.0670 + 85.4259i −0.141237 + 0.632784i
\(136\) −21.6897 + 9.90537i −0.159483 + 0.0728336i
\(137\) −263.887 −1.92618 −0.963091 0.269175i \(-0.913249\pi\)
−0.963091 + 0.269175i \(0.913249\pi\)
\(138\) −113.850 31.3070i −0.825001 0.226862i
\(139\) −159.971 −1.15087 −0.575434 0.817849i \(-0.695167\pi\)
−0.575434 + 0.817849i \(0.695167\pi\)
\(140\) −5.84815 + 75.9974i −0.0417725 + 0.542838i
\(141\) 34.0928 10.0106i 0.241793 0.0709969i
\(142\) 38.8497 + 33.6634i 0.273589 + 0.237066i
\(143\) −43.3603 27.8660i −0.303219 0.194867i
\(144\) 10.9432 + 12.6291i 0.0759942 + 0.0877020i
\(145\) −2.52301 + 6.65447i −0.0174001 + 0.0458929i
\(146\) −94.8749 27.8578i −0.649828 0.190807i
\(147\) 17.8556 + 27.7838i 0.121466 + 0.189005i
\(148\) 12.3601 85.9667i 0.0835145 0.580856i
\(149\) −4.42310 2.01996i −0.0296852 0.0135568i 0.400517 0.916289i \(-0.368831\pi\)
−0.430202 + 0.902732i \(0.641558\pi\)
\(150\) −127.227 + 16.8919i −0.848181 + 0.112613i
\(151\) 13.5648 94.3456i 0.0898334 0.624805i −0.894312 0.447443i \(-0.852335\pi\)
0.984146 0.177362i \(-0.0567563\pi\)
\(152\) −16.1707 + 10.3923i −0.106386 + 0.0683703i
\(153\) −33.7924 9.92235i −0.220866 0.0648520i
\(154\) −10.9762 76.3413i −0.0712742 0.495723i
\(155\) 7.50286 + 35.4098i 0.0484056 + 0.228450i
\(156\) −43.9982 28.2759i −0.282040 0.181256i
\(157\) 123.402 142.414i 0.786003 0.907096i −0.211525 0.977373i \(-0.567843\pi\)
0.997528 + 0.0702769i \(0.0223883\pi\)
\(158\) −38.0914 + 11.1847i −0.241085 + 0.0707889i
\(159\) 263.501 120.337i 1.65724 0.756837i
\(160\) 13.6891 24.7509i 0.0855568 0.154693i
\(161\) 117.072 + 130.491i 0.727155 + 0.810505i
\(162\) 143.042i 0.882976i
\(163\) 248.899 113.669i 1.52699 0.697353i 0.537676 0.843152i \(-0.319303\pi\)
0.989314 + 0.145799i \(0.0465752\pi\)
\(164\) −90.3076 + 26.5167i −0.550656 + 0.161687i
\(165\) 121.922 44.7258i 0.738919 0.271066i
\(166\) −86.0304 + 133.866i −0.518255 + 0.806421i
\(167\) −127.555 + 110.527i −0.763800 + 0.661837i −0.946998 0.321239i \(-0.895901\pi\)
0.183198 + 0.983076i \(0.441355\pi\)
\(168\) −11.1377 77.4643i −0.0662958 0.461097i
\(169\) −112.362 32.9926i −0.664866 0.195222i
\(170\) 3.93143 + 59.4815i 0.0231261 + 0.349891i
\(171\) −28.1027 4.04056i −0.164343 0.0236290i
\(172\) −25.5979 + 56.0515i −0.148825 + 0.325881i
\(173\) −137.374 62.7367i −0.794071 0.362640i −0.0232805 0.999729i \(-0.507411\pi\)
−0.770790 + 0.637089i \(0.780138\pi\)
\(174\) 1.03991 7.23270i 0.00597647 0.0415672i
\(175\) 172.470 + 81.0271i 0.985542 + 0.463012i
\(176\) −8.06314 + 27.4605i −0.0458133 + 0.156026i
\(177\) −170.467 + 24.5094i −0.963089 + 0.138471i
\(178\) −46.9963 54.2366i −0.264024 0.304700i
\(179\) 106.486 + 68.4346i 0.594895 + 0.382316i 0.803166 0.595755i \(-0.203147\pi\)
−0.208271 + 0.978071i \(0.566783\pi\)
\(180\) 39.2209 14.3878i 0.217894 0.0799324i
\(181\) 45.4608 + 154.825i 0.251165 + 0.855388i 0.984480 + 0.175499i \(0.0561540\pi\)
−0.733315 + 0.679889i \(0.762028\pi\)
\(182\) 32.2579 + 70.6350i 0.177241 + 0.388104i
\(183\) −314.644 −1.71937
\(184\) −19.4016 62.0933i −0.105443 0.337464i
\(185\) −190.003 105.085i −1.02704 0.568030i
\(186\) −15.4385 33.8057i −0.0830028 0.181751i
\(187\) −16.9937 57.8752i −0.0908754 0.309493i
\(188\) 14.7948 + 12.8198i 0.0786959 + 0.0681904i
\(189\) −72.1383 + 112.249i −0.381684 + 0.593912i
\(190\) 9.96115 + 47.0116i 0.0524271 + 0.247430i
\(191\) 27.1867 3.90886i 0.142339 0.0204652i −0.0707770 0.997492i \(-0.522548\pi\)
0.213116 + 0.977027i \(0.431639\pi\)
\(192\) −8.18175 + 27.8645i −0.0426133 + 0.145128i
\(193\) 111.998 + 174.273i 0.580302 + 0.902968i 0.999989 0.00470093i \(-0.00149636\pi\)
−0.419687 + 0.907669i \(0.637860\pi\)
\(194\) −88.2089 12.6825i −0.454685 0.0653738i
\(195\) −105.094 + 77.7902i −0.538943 + 0.398924i
\(196\) −7.55888 + 16.5516i −0.0385657 + 0.0844471i
\(197\) 240.650 + 34.6003i 1.22157 + 0.175636i 0.722776 0.691083i \(-0.242866\pi\)
0.498798 + 0.866718i \(0.333775\pi\)
\(198\) −35.5618 + 22.8542i −0.179605 + 0.115425i
\(199\) −99.0124 + 337.205i −0.497550 + 1.69450i 0.201552 + 0.979478i \(0.435401\pi\)
−0.699102 + 0.715022i \(0.746417\pi\)
\(200\) −45.7257 53.9366i −0.228629 0.269683i
\(201\) −59.1561 + 51.2591i −0.294309 + 0.255020i
\(202\) 108.722 169.174i 0.538226 0.837496i
\(203\) −7.10458 + 8.19913i −0.0349980 + 0.0403898i
\(204\) −17.2437 58.7266i −0.0845278 0.287875i
\(205\) −18.0535 + 234.607i −0.0880657 + 1.14442i
\(206\) 258.717i 1.25591i
\(207\) 38.4024 88.0786i 0.185519 0.425501i
\(208\) 28.8150i 0.138534i
\(209\) −20.1998 44.2313i −0.0966497 0.211633i
\(210\) −190.954 42.6208i −0.909303 0.202956i
\(211\) 143.513 165.622i 0.680154 0.784940i −0.305775 0.952104i \(-0.598916\pi\)
0.985929 + 0.167164i \(0.0534610\pi\)
\(212\) 134.263 + 86.2853i 0.633314 + 0.407006i
\(213\) −99.7221 + 86.4097i −0.468179 + 0.405679i
\(214\) 205.984 29.6161i 0.962544 0.138393i
\(215\) 108.340 + 109.517i 0.503906 + 0.509379i
\(216\) 41.6532 26.7689i 0.192839 0.123930i
\(217\) −7.85272 + 54.6169i −0.0361877 + 0.251691i
\(218\) −17.1762 + 37.6106i −0.0787898 + 0.172526i
\(219\) 105.438 230.876i 0.481451 1.05423i
\(220\) 57.0460 + 43.1868i 0.259300 + 0.196304i
\(221\) 32.8330 + 51.0892i 0.148566 + 0.231173i
\(222\) 213.904 + 62.8080i 0.963533 + 0.282919i
\(223\) 50.5472 7.26759i 0.226669 0.0325901i −0.0280443 0.999607i \(-0.508928\pi\)
0.254713 + 0.967017i \(0.418019\pi\)
\(224\) 32.5862 28.2361i 0.145474 0.126054i
\(225\) 1.12812 104.436i 0.00501388 0.464158i
\(226\) 147.343 + 127.673i 0.651959 + 0.564926i
\(227\) 165.945 48.7259i 0.731036 0.214651i 0.105029 0.994469i \(-0.466506\pi\)
0.626007 + 0.779818i \(0.284688\pi\)
\(228\) −20.4969 44.8820i −0.0898987 0.196851i
\(229\) 382.465i 1.67015i 0.550133 + 0.835077i \(0.314577\pi\)
−0.550133 + 0.835077i \(0.685423\pi\)
\(230\) −162.346 9.67969i −0.705853 0.0420856i
\(231\) 197.974 0.857028
\(232\) 3.66201 1.67239i 0.0157845 0.00720856i
\(233\) −83.6253 284.802i −0.358907 1.22232i −0.919121 0.393976i \(-0.871099\pi\)
0.560214 0.828348i \(-0.310719\pi\)
\(234\) 27.8712 32.1651i 0.119108 0.137458i
\(235\) 43.0805 23.2226i 0.183321 0.0988194i
\(236\) −62.1359 71.7086i −0.263288 0.303850i
\(237\) −14.5024 100.866i −0.0611916 0.425597i
\(238\) −25.6021 + 87.1929i −0.107572 + 0.366357i
\(239\) 65.0288 41.7915i 0.272087 0.174860i −0.397481 0.917610i \(-0.630116\pi\)
0.669568 + 0.742751i \(0.266479\pi\)
\(240\) 57.8852 + 43.8221i 0.241188 + 0.182592i
\(241\) −133.370 60.9079i −0.553402 0.252730i 0.119028 0.992891i \(-0.462022\pi\)
−0.672430 + 0.740161i \(0.734749\pi\)
\(242\) 89.8001 + 41.0103i 0.371075 + 0.169464i
\(243\) 207.487 + 29.8322i 0.853857 + 0.122766i
\(244\) −93.7215 145.833i −0.384104 0.597678i
\(245\) 31.9920 + 32.3395i 0.130580 + 0.131998i
\(246\) −34.3825 239.135i −0.139766 0.972095i
\(247\) 32.0601 + 36.9993i 0.129798 + 0.149795i
\(248\) 11.0699 17.2251i 0.0446367 0.0694560i
\(249\) −308.692 267.483i −1.23973 1.07423i
\(250\) −166.610 + 59.0855i −0.666440 + 0.236342i
\(251\) 400.345 182.831i 1.59500 0.728412i 0.597690 0.801727i \(-0.296085\pi\)
0.997309 + 0.0733154i \(0.0233580\pi\)
\(252\) 63.6861 0.252723
\(253\) 162.461 26.2257i 0.642138 0.103659i
\(254\) 326.286 1.28459
\(255\) −152.564 11.7401i −0.598288 0.0460395i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −82.6018 71.5749i −0.321408 0.278501i 0.479180 0.877716i \(-0.340934\pi\)
−0.800588 + 0.599215i \(0.795479\pi\)
\(258\) −133.062 85.5135i −0.515743 0.331448i
\(259\) −216.757 250.151i −0.836899 0.965833i
\(260\) −67.3585 25.5387i −0.259071 0.0982257i
\(261\) 5.70539 + 1.67525i 0.0218597 + 0.00641859i
\(262\) 103.230 + 160.629i 0.394008 + 0.613089i
\(263\) 7.16758 49.8516i 0.0272531 0.189550i −0.971647 0.236436i \(-0.924021\pi\)
0.998900 + 0.0468861i \(0.0149298\pi\)
\(264\) −66.8248 30.5178i −0.253124 0.115598i
\(265\) 320.699 237.380i 1.21018 0.895775i
\(266\) −10.4256 + 72.5119i −0.0391941 + 0.272601i
\(267\) 154.969 99.5927i 0.580409 0.373006i
\(268\) −41.3785 12.1498i −0.154397 0.0453351i
\(269\) 23.6331 + 164.372i 0.0878555 + 0.611048i 0.985417 + 0.170158i \(0.0544279\pi\)
−0.897561 + 0.440890i \(0.854663\pi\)
\(270\) −25.6584 121.095i −0.0950310 0.448499i
\(271\) −240.073 154.286i −0.885879 0.569320i 0.0166921 0.999861i \(-0.494686\pi\)
−0.902571 + 0.430541i \(0.858323\pi\)
\(272\) 22.0827 25.4848i 0.0811865 0.0936942i
\(273\) −191.249 + 56.1559i −0.700547 + 0.205699i
\(274\) 339.468 155.030i 1.23893 0.565802i
\(275\) 151.514 95.0756i 0.550961 0.345729i
\(276\) 164.851 26.6115i 0.597285 0.0964185i
\(277\) 162.763i 0.587593i −0.955868 0.293796i \(-0.905081\pi\)
0.955868 0.293796i \(-0.0949187\pi\)
\(278\) 205.788 93.9804i 0.740246 0.338059i
\(279\) 29.0178 8.52041i 0.104007 0.0305391i
\(280\) −37.1242 101.200i −0.132586 0.361428i
\(281\) −44.1455 + 68.6917i −0.157101 + 0.244454i −0.910878 0.412677i \(-0.864594\pi\)
0.753776 + 0.657131i \(0.228230\pi\)
\(282\) −37.9764 + 32.9068i −0.134668 + 0.116691i
\(283\) 1.67113 + 11.6230i 0.00590507 + 0.0410707i 0.992561 0.121749i \(-0.0388503\pi\)
−0.986656 + 0.162820i \(0.947941\pi\)
\(284\) −69.7535 20.4815i −0.245611 0.0721179i
\(285\) −123.083 + 8.13520i −0.431872 + 0.0285446i
\(286\) 72.1502 + 10.3736i 0.252274 + 0.0362715i
\(287\) −149.010 + 326.286i −0.519199 + 1.13689i
\(288\) −21.4968 9.81728i −0.0746418 0.0340878i
\(289\) 31.0147 215.712i 0.107317 0.746407i
\(290\) −0.663768 10.0426i −0.00228885 0.0346298i
\(291\) 64.4461 219.483i 0.221464 0.754238i
\(292\) 138.414 19.9010i 0.474022 0.0681541i
\(293\) 151.259 + 174.562i 0.516241 + 0.595774i 0.952686 0.303957i \(-0.0983080\pi\)
−0.436445 + 0.899731i \(0.643763\pi\)
\(294\) −39.2922 25.2516i −0.133647 0.0858897i
\(295\) −222.699 + 81.6949i −0.754910 + 0.276932i
\(296\) 34.6039 + 117.850i 0.116905 + 0.398142i
\(297\) 52.0315 + 113.933i 0.175190 + 0.383613i
\(298\) 6.87663 0.0230760
\(299\) −149.504 + 71.4176i −0.500013 + 0.238855i
\(300\) 153.743 96.4741i 0.512477 0.321580i
\(301\) 97.5561 + 213.618i 0.324107 + 0.709694i
\(302\) 37.9767 + 129.337i 0.125751 + 0.428267i
\(303\) 390.112 + 338.034i 1.28750 + 1.11562i
\(304\) 14.6969 22.8688i 0.0483451 0.0752264i
\(305\) −423.969 + 89.8334i −1.39006 + 0.294536i
\(306\) 49.3003 7.08831i 0.161112 0.0231644i
\(307\) −28.3670 + 96.6090i −0.0924005 + 0.314687i −0.992704 0.120575i \(-0.961526\pi\)
0.900304 + 0.435262i \(0.143344\pi\)
\(308\) 58.9694 + 91.7582i 0.191459 + 0.297916i
\(309\) −657.335 94.5104i −2.12730 0.305859i
\(310\) −30.4545 41.1438i −0.0982403 0.132722i
\(311\) −101.141 + 221.467i −0.325212 + 0.712114i −0.999656 0.0262112i \(-0.991656\pi\)
0.674445 + 0.738325i \(0.264383\pi\)
\(312\) 73.2116 + 10.5262i 0.234652 + 0.0337379i
\(313\) 350.360 225.163i 1.11936 0.719369i 0.156048 0.987750i \(-0.450125\pi\)
0.963313 + 0.268380i \(0.0864883\pi\)
\(314\) −75.0805 + 255.701i −0.239110 + 0.814333i
\(315\) 56.4449 148.874i 0.179190 0.472616i
\(316\) 42.4305 36.7663i 0.134274 0.116349i
\(317\) 173.064 269.292i 0.545942 0.849503i −0.453179 0.891420i \(-0.649710\pi\)
0.999121 + 0.0419169i \(0.0133465\pi\)
\(318\) −268.276 + 309.607i −0.843634 + 0.973605i
\(319\) 2.86915 + 9.77144i 0.00899421 + 0.0306315i
\(320\) −3.06901 + 39.8821i −0.00959065 + 0.124632i
\(321\) 534.173i 1.66409i
\(322\) −227.265 99.0877i −0.705791 0.307726i
\(323\) 57.2929i 0.177377i
\(324\) 84.0352 + 184.011i 0.259368 + 0.567937i
\(325\) −119.400 + 134.824i −0.367383 + 0.414843i
\(326\) −253.409 + 292.450i −0.777328 + 0.897084i
\(327\) −89.2844 57.3796i −0.273041 0.175473i
\(328\) 100.595 87.1659i 0.306691 0.265750i
\(329\) 73.8481 10.6178i 0.224462 0.0322728i
\(330\) −130.566 + 129.163i −0.395654 + 0.391403i
\(331\) −385.861 + 247.978i −1.16574 + 0.749177i −0.972712 0.232016i \(-0.925468\pi\)
−0.193030 + 0.981193i \(0.561832\pi\)
\(332\) 32.0264 222.749i 0.0964651 0.670929i
\(333\) −75.3632 + 165.022i −0.226316 + 0.495563i
\(334\) 99.1552 217.120i 0.296872 0.650059i
\(335\) −65.0753 + 85.9589i −0.194255 + 0.256594i
\(336\) 59.8368 + 93.1079i 0.178086 + 0.277107i
\(337\) 7.38979 + 2.16984i 0.0219282 + 0.00643869i 0.292678 0.956211i \(-0.405454\pi\)
−0.270750 + 0.962650i \(0.587272\pi\)
\(338\) 163.927 23.5692i 0.484992 0.0697313i
\(339\) −378.210 + 327.721i −1.11566 + 0.966728i
\(340\) −40.0020 74.2082i −0.117653 0.218259i
\(341\) 39.1449 + 33.9192i 0.114794 + 0.0994698i
\(342\) 38.5255 11.3121i 0.112648 0.0330763i
\(343\) −126.345 276.657i −0.368352 0.806579i
\(344\) 87.1438i 0.253325i
\(345\) 83.8994 408.944i 0.243187 1.18535i
\(346\) 213.577 0.617275
\(347\) 280.037 127.888i 0.807022 0.368555i 0.0312052 0.999513i \(-0.490065\pi\)
0.775817 + 0.630958i \(0.217338\pi\)
\(348\) 2.91136 + 9.91517i 0.00836597 + 0.0284919i
\(349\) 148.579 171.470i 0.425728 0.491317i −0.501845 0.864957i \(-0.667345\pi\)
0.927573 + 0.373641i \(0.121891\pi\)
\(350\) −269.470 2.91084i −0.769914 0.00831668i
\(351\) −82.5817 95.3044i −0.235275 0.271522i
\(352\) −5.76013 40.0626i −0.0163640 0.113814i
\(353\) −75.6710 + 257.712i −0.214365 + 0.730062i 0.780161 + 0.625579i \(0.215137\pi\)
−0.994527 + 0.104483i \(0.966681\pi\)
\(354\) 204.892 131.676i 0.578790 0.371966i
\(355\) −109.700 + 144.905i −0.309015 + 0.408182i
\(356\) 92.3199 + 42.1611i 0.259325 + 0.118430i
\(357\) −212.182 96.9004i −0.594348 0.271430i
\(358\) −177.190 25.4760i −0.494943 0.0711621i
\(359\) 331.725 + 516.174i 0.924024 + 1.43781i 0.898914 + 0.438125i \(0.144357\pi\)
0.0251104 + 0.999685i \(0.492006\pi\)
\(360\) −42.0017 + 41.5504i −0.116671 + 0.115418i
\(361\) −44.8026 311.609i −0.124107 0.863184i
\(362\) −149.439 172.462i −0.412815 0.476414i
\(363\) −137.001 + 213.178i −0.377413 + 0.587267i
\(364\) −82.9940 71.9147i −0.228006 0.197568i
\(365\) 76.1555 341.199i 0.208645 0.934791i
\(366\) 404.763 184.849i 1.10591 0.505052i
\(367\) −128.455 −0.350015 −0.175007 0.984567i \(-0.555995\pi\)
−0.175007 + 0.984567i \(0.555995\pi\)
\(368\) 61.4374 + 68.4796i 0.166949 + 0.186086i
\(369\) 196.601 0.532795
\(370\) 306.159 + 23.5595i 0.827455 + 0.0636744i
\(371\) 583.607 171.362i 1.57306 0.461893i
\(372\) 39.7207 + 34.4182i 0.106776 + 0.0925219i
\(373\) 338.835 + 217.756i 0.908405 + 0.583796i 0.909272 0.416203i \(-0.136640\pi\)
−0.000866701 1.00000i \(0.500276\pi\)
\(374\) 55.8618 + 64.4680i 0.149363 + 0.172374i
\(375\) −89.2579 444.898i −0.238021 1.18639i
\(376\) −26.5637 7.79981i −0.0706482 0.0207442i
\(377\) −5.54340 8.62570i −0.0147040 0.0228799i
\(378\) 26.8548 186.779i 0.0710445 0.494125i
\(379\) −239.541 109.395i −0.632035 0.288641i 0.0735225 0.997294i \(-0.476576\pi\)
−0.705557 + 0.708653i \(0.749303\pi\)
\(380\) −40.4328 54.6244i −0.106402 0.143748i
\(381\) −119.194 + 829.010i −0.312844 + 2.17588i
\(382\) −32.6770 + 21.0002i −0.0855418 + 0.0549744i
\(383\) −414.494 121.707i −1.08223 0.317772i −0.308460 0.951237i \(-0.599814\pi\)
−0.773771 + 0.633466i \(0.781632\pi\)
\(384\) −5.84486 40.6519i −0.0152210 0.105864i
\(385\) 266.760 56.5230i 0.692884 0.146813i
\(386\) −246.459 158.390i −0.638495 0.410336i
\(387\) 84.2897 97.2755i 0.217803 0.251358i
\(388\) 120.924 35.5065i 0.311660 0.0915115i
\(389\) 560.623 256.028i 1.44119 0.658169i 0.467074 0.884218i \(-0.345308\pi\)
0.974116 + 0.226049i \(0.0725809\pi\)
\(390\) 89.4936 161.812i 0.229471 0.414901i
\(391\) −186.957 51.4104i −0.478152 0.131484i
\(392\) 25.7330i 0.0656454i
\(393\) −445.829 + 203.603i −1.13442 + 0.518074i
\(394\) −329.903 + 96.8682i −0.837316 + 0.245858i
\(395\) −48.3395 131.772i −0.122378 0.333601i
\(396\) 32.3207 50.2919i 0.0816178 0.127000i
\(397\) −326.368 + 282.799i −0.822085 + 0.712341i −0.960574 0.278023i \(-0.910321\pi\)
0.138489 + 0.990364i \(0.455775\pi\)
\(398\) −70.7323 491.954i −0.177719 1.23607i
\(399\) −180.426 52.9778i −0.452195 0.132776i
\(400\) 90.5092 + 42.5216i 0.226273 + 0.106304i
\(401\) 423.107 + 60.8336i 1.05513 + 0.151705i 0.647981 0.761657i \(-0.275614\pi\)
0.407150 + 0.913362i \(0.366523\pi\)
\(402\) 45.9853 100.694i 0.114391 0.250482i
\(403\) −47.4366 21.6636i −0.117709 0.0537558i
\(404\) −40.4737 + 281.501i −0.100182 + 0.696783i
\(405\) 504.629 33.3535i 1.24600 0.0823543i
\(406\) 4.32257 14.7213i 0.0106467 0.0362594i
\(407\) −307.544 + 44.2182i −0.755637 + 0.108644i
\(408\) 56.6835 + 65.4163i 0.138930 + 0.160334i
\(409\) −169.940 109.214i −0.415500 0.267026i 0.316146 0.948711i \(-0.397611\pi\)
−0.731646 + 0.681685i \(0.761248\pi\)
\(410\) −114.604 312.408i −0.279522 0.761970i
\(411\) 269.882 + 919.135i 0.656648 + 2.23634i
\(412\) −151.993 332.817i −0.368914 0.807809i
\(413\) −361.613 −0.875576
\(414\) 2.34358 + 135.866i 0.00566083 + 0.328180i
\(415\) −492.317 272.287i −1.18631 0.656114i
\(416\) 16.9284 + 37.0680i 0.0406932 + 0.0891058i
\(417\) 163.605 + 557.187i 0.392338 + 1.33618i
\(418\) 51.9705 + 45.0327i 0.124331 + 0.107734i
\(419\) 83.4786 129.895i 0.199233 0.310012i −0.727233 0.686390i \(-0.759194\pi\)
0.926466 + 0.376378i \(0.122831\pi\)
\(420\) 270.684 57.3545i 0.644487 0.136558i
\(421\) 319.524 45.9406i 0.758964 0.109123i 0.248042 0.968749i \(-0.420213\pi\)
0.510923 + 0.859627i \(0.329304\pi\)
\(422\) −87.3158 + 297.370i −0.206909 + 0.704669i
\(423\) −22.1078 34.4004i −0.0522642 0.0813247i
\(424\) −223.409 32.1213i −0.526907 0.0757578i
\(425\) −208.924 + 27.7389i −0.491587 + 0.0652680i
\(426\) 77.5195 169.744i 0.181971 0.398460i
\(427\) −653.940 94.0223i −1.53147 0.220193i
\(428\) −247.582 + 159.111i −0.578463 + 0.371756i
\(429\) −52.7135 + 179.526i −0.122875 + 0.418475i
\(430\) −203.709 77.2354i −0.473743 0.179617i
\(431\) −224.478 + 194.512i −0.520832 + 0.451303i −0.875171 0.483814i \(-0.839251\pi\)
0.354339 + 0.935117i \(0.384706\pi\)
\(432\) −37.8569 + 58.9065i −0.0876317 + 0.136358i
\(433\) −349.105 + 402.889i −0.806247 + 0.930459i −0.998707 0.0508461i \(-0.983808\pi\)
0.192459 + 0.981305i \(0.438354\pi\)
\(434\) −21.9848 74.8733i −0.0506562 0.172519i
\(435\) 25.7583 + 1.98215i 0.0592144 + 0.00455667i
\(436\) 58.4736i 0.134114i
\(437\) −155.079 19.5735i −0.354872 0.0447905i
\(438\) 358.946i 0.819511i
\(439\) 317.585 + 695.413i 0.723427 + 1.58408i 0.809038 + 0.587756i \(0.199989\pi\)
−0.0856110 + 0.996329i \(0.527284\pi\)
\(440\) −98.7564 22.0424i −0.224446 0.0500964i
\(441\) 24.8902 28.7248i 0.0564403 0.0651356i
\(442\) −72.2510 46.4329i −0.163464 0.105052i
\(443\) 559.557 484.859i 1.26311 1.09449i 0.271879 0.962331i \(-0.412355\pi\)
0.991229 0.132158i \(-0.0421906\pi\)
\(444\) −312.068 + 44.8686i −0.702856 + 0.101055i
\(445\) 180.380 178.442i 0.405347 0.400992i
\(446\) −60.7550 + 39.0449i −0.136222 + 0.0875446i
\(447\) −2.51206 + 17.4718i −0.00561983 + 0.0390867i
\(448\) −25.3310 + 55.4672i −0.0565425 + 0.123811i
\(449\) 350.163 766.750i 0.779873 1.70768i 0.0762718 0.997087i \(-0.475698\pi\)
0.703601 0.710596i \(-0.251574\pi\)
\(450\) 59.9032 + 135.010i 0.133118 + 0.300023i
\(451\) 182.041 + 283.261i 0.403638 + 0.628073i
\(452\) −264.550 77.6789i −0.585288 0.171856i
\(453\) −342.484 + 49.2418i −0.756036 + 0.108702i
\(454\) −184.848 + 160.172i −0.407155 + 0.352802i
\(455\) −241.667 + 130.271i −0.531136 + 0.286309i
\(456\) 52.7350 + 45.6952i 0.115647 + 0.100209i
\(457\) 288.254 84.6389i 0.630752 0.185205i 0.0492970 0.998784i \(-0.484302\pi\)
0.581455 + 0.813579i \(0.302484\pi\)
\(458\) −224.693 492.008i −0.490596 1.07425i
\(459\) 147.577i 0.321519i
\(460\) 214.531 82.9240i 0.466372 0.180270i
\(461\) 243.955 0.529186 0.264593 0.964360i \(-0.414762\pi\)
0.264593 + 0.964360i \(0.414762\pi\)
\(462\) −254.676 + 116.307i −0.551247 + 0.251746i
\(463\) 159.982 + 544.848i 0.345533 + 1.17678i 0.930675 + 0.365846i \(0.119220\pi\)
−0.585143 + 0.810930i \(0.698961\pi\)
\(464\) −3.72836 + 4.30276i −0.00803526 + 0.00927319i
\(465\) 115.661 62.3472i 0.248733 0.134080i
\(466\) 274.893 + 317.244i 0.589900 + 0.680781i
\(467\) −72.5666 504.712i −0.155389 1.08075i −0.906995 0.421141i \(-0.861630\pi\)
0.751606 0.659612i \(-0.229279\pi\)
\(468\) −16.9574 + 57.7516i −0.0362338 + 0.123401i
\(469\) −138.264 + 88.8571i −0.294807 + 0.189461i
\(470\) −41.7764 + 55.1830i −0.0888860 + 0.117411i
\(471\) −622.243 284.169i −1.32111 0.603331i
\(472\) 122.060 + 55.7430i 0.258602 + 0.118100i
\(473\) 218.201 + 31.3725i 0.461312 + 0.0663267i
\(474\) 77.9136 + 121.236i 0.164375 + 0.255772i
\(475\) −163.527 + 46.1031i −0.344267 + 0.0970592i
\(476\) −18.2896 127.207i −0.0384235 0.267242i
\(477\) −218.314 251.947i −0.457681 0.528191i
\(478\) −59.1021 + 91.9647i −0.123645 + 0.192395i
\(479\) −254.357 220.402i −0.531017 0.460129i 0.347609 0.937640i \(-0.386994\pi\)
−0.878626 + 0.477511i \(0.841539\pi\)
\(480\) −100.209 22.3667i −0.208769 0.0465972i
\(481\) 284.556 129.952i 0.591592 0.270171i
\(482\) 207.351 0.430189
\(483\) 334.777 541.225i 0.693121 1.12055i
\(484\) −139.613 −0.288457
\(485\) 24.1740 314.144i 0.0498433 0.647719i
\(486\) −284.440 + 83.5192i −0.585268 + 0.171850i
\(487\) −358.917 311.004i −0.736997 0.638611i 0.203241 0.979129i \(-0.434852\pi\)
−0.940238 + 0.340517i \(0.889398\pi\)
\(488\) 206.240 + 132.542i 0.422622 + 0.271603i
\(489\) −650.468 750.681i −1.33020 1.53513i
\(490\) −60.1540 22.8071i −0.122763 0.0465451i
\(491\) −704.270 206.792i −1.43436 0.421166i −0.530022 0.847984i \(-0.677816\pi\)
−0.904337 + 0.426818i \(0.859634\pi\)
\(492\) 184.719 + 287.428i 0.375444 + 0.584203i
\(493\) 1.70767 11.8771i 0.00346383 0.0240914i
\(494\) −62.9791 28.7616i −0.127488 0.0582218i
\(495\) −88.9177 120.127i −0.179632 0.242681i
\(496\) −4.12097 + 28.6620i −0.00830841 + 0.0577863i
\(497\) −233.078 + 149.790i −0.468970 + 0.301389i
\(498\) 554.248 + 162.742i 1.11295 + 0.326791i
\(499\) −25.0105 173.952i −0.0501212 0.348601i −0.999415 0.0342094i \(-0.989109\pi\)
0.949293 0.314391i \(-0.101800\pi\)
\(500\) 179.618 173.889i 0.359235 0.347779i
\(501\) 515.424 + 331.243i 1.02879 + 0.661164i
\(502\) −407.598 + 470.394i −0.811949 + 0.937039i
\(503\) 674.432 198.031i 1.34082 0.393700i 0.468857 0.883274i \(-0.344666\pi\)
0.871962 + 0.489574i \(0.162848\pi\)
\(504\) −81.9267 + 37.4146i −0.162553 + 0.0742354i
\(505\) 622.170 + 344.106i 1.23202 + 0.681397i
\(506\) −193.585 + 129.181i −0.382579 + 0.255298i
\(507\) 425.107i 0.838476i
\(508\) −419.739 + 191.688i −0.826257 + 0.377339i
\(509\) 550.928 161.767i 1.08237 0.317813i 0.308545 0.951210i \(-0.400158\pi\)
0.773828 + 0.633396i \(0.218340\pi\)
\(510\) 203.157 74.5263i 0.398347 0.146130i
\(511\) 288.127 448.334i 0.563849 0.877367i
\(512\) 17.1007 14.8178i 0.0333997 0.0289410i
\(513\) −16.9310 117.758i −0.0330040 0.229548i
\(514\) 148.309 + 43.5476i 0.288540 + 0.0847229i
\(515\) −912.712 + 60.3257i −1.77226 + 0.117137i
\(516\) 221.410 + 31.8340i 0.429090 + 0.0616938i
\(517\) 29.0932 63.7053i 0.0562731 0.123221i
\(518\) 425.799 + 194.456i 0.822006 + 0.375398i
\(519\) −78.0206 + 542.645i −0.150329 + 1.04556i
\(520\) 101.655 6.71886i 0.195490 0.0129209i
\(521\) 177.005 602.824i 0.339741 1.15705i −0.595593 0.803287i \(-0.703083\pi\)
0.935334 0.353766i \(-0.115099\pi\)
\(522\) −8.32367 + 1.19676i −0.0159457 + 0.00229265i
\(523\) 272.723 + 314.739i 0.521459 + 0.601796i 0.953996 0.299820i \(-0.0969267\pi\)
−0.432536 + 0.901617i \(0.642381\pi\)
\(524\) −227.164 145.990i −0.433519 0.278606i
\(525\) 105.834 683.591i 0.201589 1.30208i
\(526\) 20.0666 + 68.3406i 0.0381495 + 0.129925i
\(527\) −25.3522 55.5135i −0.0481066 0.105339i
\(528\) 103.893 0.196767
\(529\) 203.028 488.488i 0.383796 0.923418i
\(530\) −273.094 + 493.776i −0.515272 + 0.931652i
\(531\) 82.3341 + 180.286i 0.155055 + 0.339522i
\(532\) −29.1880 99.4053i −0.0548647 0.186852i
\(533\) −256.206 222.004i −0.480686 0.416517i
\(534\) −140.845 + 219.160i −0.263755 + 0.410411i
\(535\) 152.511 + 719.774i 0.285066 + 1.34537i
\(536\) 60.3677 8.67956i 0.112626 0.0161932i
\(537\) 129.456 440.888i 0.241073 0.821020i
\(538\) −126.968 197.566i −0.236000 0.367224i
\(539\) 64.4332 + 9.26409i 0.119542 + 0.0171876i
\(540\) 104.149 + 140.704i 0.192868 + 0.260563i
\(541\) −275.152 + 602.500i −0.508600 + 1.11368i 0.464978 + 0.885322i \(0.346062\pi\)
−0.973578 + 0.228356i \(0.926665\pi\)
\(542\) 399.474 + 57.4357i 0.737037 + 0.105970i
\(543\) 492.772 316.686i 0.907500 0.583215i
\(544\) −13.4356 + 45.7573i −0.0246977 + 0.0841127i
\(545\) −136.689 51.8250i −0.250806 0.0950918i
\(546\) 213.035 184.596i 0.390174 0.338088i
\(547\) −254.943 + 396.699i −0.466075 + 0.725226i −0.992128 0.125225i \(-0.960035\pi\)
0.526054 + 0.850451i \(0.323671\pi\)
\(548\) −345.618 + 398.865i −0.630691 + 0.727856i
\(549\) 102.017 + 347.437i 0.185823 + 0.632854i
\(550\) −139.054 + 211.319i −0.252826 + 0.384216i
\(551\) 9.67311i 0.0175556i
\(552\) −196.432 + 131.081i −0.355856 + 0.237465i
\(553\) 213.969i 0.386924i
\(554\) 95.6210 + 209.381i 0.172601 + 0.377944i
\(555\) −171.700 + 769.264i −0.309369 + 1.38606i
\(556\) −209.517 + 241.795i −0.376829 + 0.434884i
\(557\) 741.626 + 476.614i 1.33147 + 0.855681i 0.996255 0.0864623i \(-0.0275562\pi\)
0.335210 + 0.942143i \(0.391193\pi\)
\(558\) −32.3233 + 28.0083i −0.0579271 + 0.0501942i
\(559\) −219.688 + 31.5864i −0.393002 + 0.0565052i
\(560\) 107.210 + 108.375i 0.191447 + 0.193527i
\(561\) −184.203 + 118.380i −0.328348 + 0.211016i
\(562\) 16.4340 114.301i 0.0292419 0.203382i
\(563\) 30.4263 66.6242i 0.0540431 0.118338i −0.880684 0.473704i \(-0.842917\pi\)
0.934727 + 0.355366i \(0.115644\pi\)
\(564\) 29.5212 64.6424i 0.0523425 0.114614i
\(565\) −416.054 + 549.571i −0.736379 + 0.972692i
\(566\) −8.97811 13.9702i −0.0158624 0.0246824i
\(567\) 739.727 + 217.203i 1.30463 + 0.383075i
\(568\) 101.764 14.6315i 0.179163 0.0257597i
\(569\) 414.489 359.157i 0.728452 0.631208i −0.209566 0.977795i \(-0.567205\pi\)
0.938018 + 0.346587i \(0.112659\pi\)
\(570\) 153.557 82.7750i 0.269398 0.145219i
\(571\) 646.191 + 559.928i 1.13168 + 0.980609i 0.999943 0.0106748i \(-0.00339796\pi\)
0.131741 + 0.991284i \(0.457943\pi\)
\(572\) −98.9094 + 29.0424i −0.172919 + 0.0507735i
\(573\) −41.4192 90.6954i −0.0722848 0.158282i
\(574\) 507.280i 0.883764i
\(575\) −3.70630 574.988i −0.00644574 0.999979i
\(576\) 33.4213 0.0580232
\(577\) −265.002 + 121.022i −0.459275 + 0.209744i −0.631597 0.775297i \(-0.717600\pi\)
0.172322 + 0.985041i \(0.444873\pi\)
\(578\) 86.8298 + 295.715i 0.150225 + 0.511618i
\(579\) 492.460 568.329i 0.850536 0.981570i
\(580\) 6.75378 + 12.5290i 0.0116445 + 0.0216018i
\(581\) −561.639 648.166i −0.966677 1.11560i
\(582\) 46.0389 + 320.208i 0.0791046 + 0.550185i
\(583\) 160.858 547.832i 0.275914 0.939677i
\(584\) −166.367 + 106.917i −0.284875 + 0.183078i
\(585\) 119.972 + 90.8252i 0.205081 + 0.155257i
\(586\) −297.134 135.696i −0.507054 0.231564i
\(587\) 314.833 + 143.779i 0.536342 + 0.244939i 0.665123 0.746734i \(-0.268379\pi\)
−0.128781 + 0.991673i \(0.541106\pi\)
\(588\) 65.3810 + 9.40037i 0.111192 + 0.0159870i
\(589\) −26.5984 41.3879i −0.0451586 0.0702681i
\(590\) 238.488 235.926i 0.404217 0.399874i
\(591\) −125.603 873.585i −0.212525 1.47815i
\(592\) −113.750 131.275i −0.192146 0.221748i
\(593\) −271.916 + 423.110i −0.458543 + 0.713508i −0.991134 0.132865i \(-0.957582\pi\)
0.532591 + 0.846373i \(0.321219\pi\)
\(594\) −133.868 115.997i −0.225367 0.195282i
\(595\) −313.572 69.9892i −0.527012 0.117629i
\(596\) −8.84620 + 4.03992i −0.0148426 + 0.00677839i
\(597\) 1275.77 2.13697
\(598\) 150.367 179.704i 0.251450 0.300508i
\(599\) 664.395 1.10917 0.554587 0.832126i \(-0.312876\pi\)
0.554587 + 0.832126i \(0.312876\pi\)
\(600\) −141.100 + 214.427i −0.235167 + 0.357379i
\(601\) 667.484 195.991i 1.11062 0.326108i 0.325558 0.945522i \(-0.394448\pi\)
0.785064 + 0.619414i \(0.212630\pi\)
\(602\) −250.995 217.488i −0.416935 0.361276i
\(603\) 75.7816 + 48.7018i 0.125674 + 0.0807659i
\(604\) −124.837 144.070i −0.206684 0.238526i
\(605\) −123.739 + 326.362i −0.204527 + 0.539442i
\(606\) −700.436 205.667i −1.15583 0.339384i
\(607\) 293.007 + 455.928i 0.482714 + 0.751117i 0.994127 0.108218i \(-0.0345143\pi\)
−0.511414 + 0.859335i \(0.670878\pi\)
\(608\) −5.47119 + 38.0530i −0.00899868 + 0.0625872i
\(609\) 35.8241 + 16.3603i 0.0588244 + 0.0268642i
\(610\) 492.623 364.638i 0.807579 0.597768i
\(611\) −10.0348 + 69.7939i −0.0164236 + 0.114229i
\(612\) −59.2563 + 38.0817i −0.0968240 + 0.0622250i
\(613\) −567.729 166.700i −0.926148 0.271941i −0.216325 0.976322i \(-0.569407\pi\)
−0.709823 + 0.704380i \(0.751225\pi\)
\(614\) −20.2647 140.944i −0.0330045 0.229551i
\(615\) 835.613 177.055i 1.35872 0.287895i
\(616\) −129.766 83.3953i −0.210659 0.135382i
\(617\) 516.411 595.970i 0.836971 0.965916i −0.162814 0.986657i \(-0.552057\pi\)
0.999785 + 0.0207410i \(0.00660254\pi\)
\(618\) 901.128 264.595i 1.45814 0.428147i
\(619\) −41.5556 + 18.9778i −0.0671334 + 0.0306588i −0.448699 0.893683i \(-0.648112\pi\)
0.381565 + 0.924342i \(0.375385\pi\)
\(620\) 63.3485 + 35.0363i 0.102175 + 0.0565102i
\(621\) 399.459 + 50.4182i 0.643251 + 0.0811887i
\(622\) 344.318i 0.553565i
\(623\) 351.840 160.680i 0.564752 0.257913i
\(624\) −100.364 + 29.4696i −0.160840 + 0.0472270i
\(625\) −247.293 573.996i −0.395669 0.918393i
\(626\) −318.428 + 495.484i −0.508671 + 0.791507i
\(627\) −133.402 + 115.593i −0.212762 + 0.184359i
\(628\) −53.6358 373.045i −0.0854074 0.594021i
\(629\) 351.260 + 103.139i 0.558442 + 0.163973i
\(630\) 14.8498 + 224.674i 0.0235712 + 0.356625i
\(631\) 491.508 + 70.6681i 0.778934 + 0.111994i 0.520302 0.853982i \(-0.325819\pi\)
0.258632 + 0.965976i \(0.416728\pi\)
\(632\) −32.9836 + 72.2239i −0.0521892 + 0.114278i
\(633\) −723.645 330.478i −1.14320 0.522082i
\(634\) −64.4262 + 448.094i −0.101619 + 0.706773i
\(635\) 76.0809 + 1151.08i 0.119812 + 1.81273i
\(636\) 163.224 555.890i 0.256642 0.874041i
\(637\) −64.8725 + 9.32726i −0.101841 + 0.0146425i
\(638\) −9.43150 10.8845i −0.0147829 0.0170604i
\(639\) 127.748 + 82.0989i 0.199919 + 0.128480i
\(640\) −19.4821 53.1079i −0.0304408 0.0829811i
\(641\) −261.772 891.514i −0.408381 1.39082i −0.865276 0.501297i \(-0.832857\pi\)
0.456895 0.889521i \(-0.348962\pi\)
\(642\) −313.819 687.167i −0.488814 1.07035i
\(643\) 146.206 0.227381 0.113691 0.993516i \(-0.463733\pi\)
0.113691 + 0.993516i \(0.463733\pi\)
\(644\) 350.569 6.04703i 0.544362 0.00938980i
\(645\) 270.651 489.359i 0.419615 0.758696i
\(646\) −33.6587 73.7023i −0.0521033 0.114090i
\(647\) 225.381 + 767.579i 0.348348 + 1.18637i 0.928337 + 0.371741i \(0.121239\pi\)
−0.579988 + 0.814625i \(0.696943\pi\)
\(648\) −216.208 187.345i −0.333655 0.289113i
\(649\) −183.518 + 285.560i −0.282771 + 0.440000i
\(650\) 74.3901 243.585i 0.114446 0.374746i
\(651\) 198.265 28.5062i 0.304555 0.0437883i
\(652\) 154.179 525.085i 0.236471 0.805345i
\(653\) −285.634 444.456i −0.437418 0.680636i 0.550635 0.834746i \(-0.314386\pi\)
−0.988054 + 0.154110i \(0.950749\pi\)
\(654\) 148.566 + 21.3606i 0.227166 + 0.0326615i
\(655\) −542.603 + 401.633i −0.828402 + 0.613181i
\(656\) −78.1978 + 171.229i −0.119204 + 0.261020i
\(657\) −289.125 41.5699i −0.440068 0.0632723i
\(658\) −88.7615 + 57.0435i −0.134896 + 0.0866923i
\(659\) −79.5144 + 270.801i −0.120659 + 0.410928i −0.997566 0.0697336i \(-0.977785\pi\)
0.876906 + 0.480661i \(0.159603\pi\)
\(660\) 92.0803 242.863i 0.139516 0.367974i
\(661\) −357.903 + 310.125i −0.541458 + 0.469176i −0.882130 0.471006i \(-0.843891\pi\)
0.340672 + 0.940182i \(0.389345\pi\)
\(662\) 350.693 545.689i 0.529748 0.824304i
\(663\) 144.368 166.609i 0.217749 0.251296i
\(664\) 89.6624 + 305.362i 0.135034 + 0.459882i
\(665\) −258.241 19.8722i −0.388333 0.0298830i
\(666\) 256.562i 0.385228i
\(667\) 31.5652 + 8.67994i 0.0473241 + 0.0130134i
\(668\) 337.558i 0.505326i
\(669\) −77.0091 168.626i −0.115111 0.252057i
\(670\) 33.2142 148.809i 0.0495735 0.222104i
\(671\) −406.122 + 468.690i −0.605249 + 0.698495i
\(672\) −131.675 84.6221i −0.195944 0.125926i
\(673\) −840.294 + 728.119i −1.24858 + 1.08190i −0.255217 + 0.966884i \(0.582147\pi\)
−0.993364 + 0.115017i \(0.963308\pi\)
\(674\) −10.7811 + 1.55009i −0.0159957 + 0.00229983i
\(675\) 421.219 118.754i 0.624028 0.175932i
\(676\) −197.032 + 126.625i −0.291467 + 0.187314i
\(677\) 126.890 882.542i 0.187430 1.30361i −0.651200 0.758906i \(-0.725734\pi\)
0.838630 0.544701i \(-0.183357\pi\)
\(678\) 294.003 643.778i 0.433633 0.949525i
\(679\) 199.528 436.905i 0.293855 0.643453i
\(680\) 95.0553 + 71.9619i 0.139787 + 0.105826i
\(681\) −339.430 528.164i −0.498430 0.775571i
\(682\) −70.2835 20.6371i −0.103055 0.0302597i
\(683\) −681.600 + 97.9993i −0.997950 + 0.143484i −0.621884 0.783109i \(-0.713633\pi\)
−0.376066 + 0.926593i \(0.622723\pi\)
\(684\) −42.9140 + 37.1852i −0.0627397 + 0.0543643i
\(685\) 626.074 + 1161.44i 0.913977 + 1.69553i
\(686\) 325.064 + 281.669i 0.473854 + 0.410596i
\(687\) 1332.15 391.154i 1.93908 0.569366i
\(688\) 51.1957 + 112.103i 0.0744124 + 0.162940i
\(689\) 574.852i 0.834329i
\(690\) 132.320 + 575.361i 0.191768 + 0.833857i
\(691\) −210.454 −0.304564 −0.152282 0.988337i \(-0.548662\pi\)
−0.152282 + 0.988337i \(0.548662\pi\)
\(692\) −274.748 + 125.473i −0.397035 + 0.181320i
\(693\) −64.1887 218.607i −0.0926245 0.315450i
\(694\) −285.110 + 329.035i −0.410822 + 0.474114i
\(695\) 379.532 + 704.074i 0.546089 + 1.01306i
\(696\) −9.57023 11.0446i −0.0137503 0.0158687i
\(697\) −56.4607 392.693i −0.0810053 0.563404i
\(698\) −90.3985 + 307.869i −0.129511 + 0.441073i
\(699\) −906.456 + 582.544i −1.29679 + 0.833396i
\(700\) 348.360 154.565i 0.497657 0.220807i
\(701\) −826.759 377.568i −1.17940 0.538614i −0.273403 0.961900i \(-0.588149\pi\)
−0.905996 + 0.423286i \(0.860877\pi\)
\(702\) 162.224 + 74.0853i 0.231089 + 0.105535i
\(703\) 292.117 + 42.0001i 0.415530 + 0.0597441i
\(704\) 30.9461 + 48.1531i 0.0439576 + 0.0683993i
\(705\) −124.945 126.302i −0.177227 0.179151i
\(706\) −54.0577 375.980i −0.0765690 0.532549i
\(707\) 709.777 + 819.126i 1.00393 + 1.15859i
\(708\) −186.218 + 289.761i −0.263020 + 0.409267i
\(709\) 147.539 + 127.843i 0.208094 + 0.180314i 0.752672 0.658396i \(-0.228765\pi\)
−0.544578 + 0.838710i \(0.683310\pi\)
\(710\) 55.9907 250.855i 0.0788602 0.353317i
\(711\) −106.677 + 48.7177i −0.150038 + 0.0685199i
\(712\) −143.531 −0.201588
\(713\) 158.924 49.6571i 0.222895 0.0696453i
\(714\) 329.882 0.462019
\(715\) −19.7731 + 256.953i −0.0276546 + 0.359375i
\(716\) 242.906 71.3237i 0.339254 0.0996141i
\(717\) −212.069 183.758i −0.295772 0.256288i
\(718\) −729.980 469.130i −1.01669 0.653384i
\(719\) 601.132 + 693.744i 0.836067 + 0.964873i 0.999766 0.0216375i \(-0.00688798\pi\)
−0.163699 + 0.986510i \(0.552343\pi\)
\(720\) 29.6213 78.1265i 0.0411407 0.108509i
\(721\) −1337.93 392.851i −1.85566 0.544870i
\(722\) 240.701 + 374.538i 0.333380 + 0.518750i
\(723\) −75.7463 + 526.827i −0.104767 + 0.728668i
\(724\) 293.559 + 134.064i 0.405469 + 0.185171i
\(725\) 35.2740 4.68333i 0.0486538 0.00645976i
\(726\) 51.0012 354.721i 0.0702496 0.488597i
\(727\) 162.210 104.246i 0.223123 0.143392i −0.424304 0.905520i \(-0.639481\pi\)
0.647427 + 0.762127i \(0.275845\pi\)
\(728\) 149.014 + 43.7543i 0.204689 + 0.0601021i
\(729\) 21.2574 + 147.849i 0.0291597 + 0.202810i
\(730\) 102.482 + 483.663i 0.140386 + 0.662552i
\(731\) −218.505 140.425i −0.298913 0.192100i
\(732\) −412.096 + 475.584i −0.562973 + 0.649705i
\(733\) −571.599 + 167.837i −0.779808 + 0.228972i −0.647326 0.762213i \(-0.724113\pi\)
−0.132482 + 0.991185i \(0.542295\pi\)
\(734\) 165.247 75.4657i 0.225132 0.102814i
\(735\) 79.9216 144.504i 0.108737 0.196605i
\(736\) −119.265 51.9995i −0.162044 0.0706515i
\(737\) 154.280i 0.209335i
\(738\) −252.911 + 115.500i −0.342697 + 0.156505i
\(739\) −858.405 + 252.050i −1.16158 + 0.341070i −0.805045 0.593214i \(-0.797859\pi\)
−0.356531 + 0.934283i \(0.616041\pi\)
\(740\) −407.687 + 149.556i −0.550929 + 0.202103i
\(741\) 96.0823 149.507i 0.129666 0.201764i
\(742\) −650.087 + 563.303i −0.876128 + 0.759169i
\(743\) 100.531 + 699.211i 0.135305 + 0.941065i 0.938483 + 0.345326i \(0.112232\pi\)
−0.803178 + 0.595739i \(0.796859\pi\)
\(744\) −71.3174 20.9407i −0.0958567 0.0281461i
\(745\) 1.60344 + 24.2596i 0.00215227 + 0.0325633i
\(746\) −563.811 81.0637i −0.755778 0.108665i
\(747\) −195.274 + 427.590i −0.261411 + 0.572410i
\(748\) −109.735 50.1145i −0.146705 0.0669980i
\(749\) −159.622 + 1110.20i −0.213114 + 1.48224i
\(750\) 376.194 + 519.885i 0.501592 + 0.693180i
\(751\) 74.8159 254.799i 0.0996216 0.339280i −0.894567 0.446934i \(-0.852516\pi\)
0.994188 + 0.107654i \(0.0343339\pi\)
\(752\) 38.7542 5.57202i 0.0515349 0.00740960i
\(753\) −1046.25 1207.44i −1.38945 1.60351i
\(754\) 12.1986 + 7.83956i 0.0161785 + 0.0103973i
\(755\) −447.423 + 164.133i −0.592614 + 0.217395i
\(756\) 75.1837 + 256.052i 0.0994494 + 0.338694i
\(757\) 140.357 + 307.339i 0.185412 + 0.405996i 0.979398 0.201940i \(-0.0647247\pi\)
−0.793986 + 0.607937i \(0.791997\pi\)
\(758\) 372.417 0.491315
\(759\) −257.498 539.040i −0.339259 0.710198i
\(760\) 84.1044 + 46.5159i 0.110664 + 0.0612051i
\(761\) −418.963 917.400i −0.550542 1.20552i −0.956528 0.291640i \(-0.905799\pi\)
0.405986 0.913879i \(-0.366928\pi\)
\(762\) −333.699 1136.47i −0.437925 1.49144i
\(763\) −168.418 145.935i −0.220731 0.191265i
\(764\) 29.6988 46.2122i 0.0388728 0.0604872i
\(765\) 36.5019 + 172.271i 0.0477149 + 0.225190i
\(766\) 604.712 86.9445i 0.789441 0.113505i
\(767\) 96.2851 327.917i 0.125535 0.427532i
\(768\) 31.4013 + 48.8614i 0.0408872 + 0.0636217i
\(769\) 579.937 + 83.3823i 0.754144 + 0.108430i 0.508656 0.860970i \(-0.330143\pi\)
0.245488 + 0.969400i \(0.421052\pi\)
\(770\) −309.958 + 229.430i −0.402543 + 0.297961i
\(771\) −164.821 + 360.908i −0.213776 + 0.468104i
\(772\) 410.100 + 58.9635i 0.531218 + 0.0763776i
\(773\) −200.261 + 128.700i −0.259070 + 0.166494i −0.663728 0.747974i \(-0.731027\pi\)