Properties

Label 403.2.l.c.25.4
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.31

$q$-expansion

\(f(q)\) \(=\) \(q-2.42820i q^{2} +(1.37274 + 2.37765i) q^{3} -3.89617 q^{4} +(-2.09477 - 1.20941i) q^{5} +(5.77342 - 3.33328i) q^{6} +(-4.33186 + 2.50100i) q^{7} +4.60429i q^{8} +(-2.26881 + 3.92970i) q^{9} +O(q^{10})\) \(q-2.42820i q^{2} +(1.37274 + 2.37765i) q^{3} -3.89617 q^{4} +(-2.09477 - 1.20941i) q^{5} +(5.77342 - 3.33328i) q^{6} +(-4.33186 + 2.50100i) q^{7} +4.60429i q^{8} +(-2.26881 + 3.92970i) q^{9} +(-2.93671 + 5.08652i) q^{10} +(4.09276 + 2.36296i) q^{11} +(-5.34842 - 9.26373i) q^{12} +(-0.352975 + 3.58823i) q^{13} +(6.07293 + 10.5186i) q^{14} -6.64083i q^{15} +3.38782 q^{16} +(-1.24548 - 2.15724i) q^{17} +(9.54210 + 5.50914i) q^{18} +(-4.12975 + 2.38431i) q^{19} +(8.16158 + 4.71209i) q^{20} +(-11.8930 - 6.86643i) q^{21} +(5.73774 - 9.93806i) q^{22} +0.407695 q^{23} +(-10.9474 + 6.32048i) q^{24} +(0.425368 + 0.736759i) q^{25} +(8.71296 + 0.857096i) q^{26} -4.22150 q^{27} +(16.8777 - 9.74432i) q^{28} +0.937479 q^{29} -16.1253 q^{30} +(-1.51826 + 5.35676i) q^{31} +0.982276i q^{32} +12.9749i q^{33} +(-5.23821 + 3.02428i) q^{34} +12.0990 q^{35} +(8.83968 - 15.3108i) q^{36} +(2.00430 - 1.15719i) q^{37} +(5.78959 + 10.0279i) q^{38} +(-9.01610 + 4.08645i) q^{39} +(5.56850 - 9.64493i) q^{40} +(-8.68112 - 5.01205i) q^{41} +(-16.6731 + 28.8786i) q^{42} +(0.428046 + 0.741397i) q^{43} +(-15.9461 - 9.20649i) q^{44} +(9.50527 - 5.48787i) q^{45} -0.989966i q^{46} -2.40762i q^{47} +(4.65058 + 8.05504i) q^{48} +(9.00999 - 15.6058i) q^{49} +(1.78900 - 1.03288i) q^{50} +(3.41944 - 5.92264i) q^{51} +(1.37525 - 13.9804i) q^{52} +(-5.12189 + 8.87137i) q^{53} +10.2507i q^{54} +(-5.71559 - 9.89970i) q^{55} +(-11.5153 - 19.9451i) q^{56} +(-11.3381 - 6.54606i) q^{57} -2.27639i q^{58} +(9.00882 - 5.20124i) q^{59} +25.8738i q^{60} -4.35112 q^{61} +(13.0073 + 3.68664i) q^{62} -22.6972i q^{63} +9.16080 q^{64} +(5.07906 - 7.08962i) q^{65} +31.5056 q^{66} +(7.21500 + 4.16558i) q^{67} +(4.85261 + 8.40497i) q^{68} +(0.559658 + 0.969356i) q^{69} -29.3788i q^{70} +(-3.24465 - 1.87330i) q^{71} +(-18.0935 - 10.4463i) q^{72} +(5.38151 + 3.10702i) q^{73} +(-2.80988 - 4.86686i) q^{74} +(-1.16784 + 2.02275i) q^{75} +(16.0902 - 9.28968i) q^{76} -23.6390 q^{77} +(9.92272 + 21.8929i) q^{78} +(-3.94652 - 6.83557i) q^{79} +(-7.09669 - 4.09728i) q^{80} +(1.01142 + 1.75184i) q^{81} +(-12.1703 + 21.0795i) q^{82} +(3.55686 + 2.05355i) q^{83} +(46.3372 + 26.7528i) q^{84} +6.02522i q^{85} +(1.80026 - 1.03938i) q^{86} +(1.28691 + 2.22900i) q^{87} +(-10.8798 + 18.8443i) q^{88} +5.15881i q^{89} +(-13.3257 - 23.0807i) q^{90} +(-7.44513 - 16.4265i) q^{91} -1.58845 q^{92} +(-14.8207 + 3.74354i) q^{93} -5.84620 q^{94} +11.5345 q^{95} +(-2.33551 + 1.34841i) q^{96} -4.77033i q^{97} +(-37.8940 - 21.8781i) q^{98} +(-18.5714 + 10.7222i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.42820i 1.71700i −0.512814 0.858500i \(-0.671397\pi\)
0.512814 0.858500i \(-0.328603\pi\)
\(3\) 1.37274 + 2.37765i 0.792550 + 1.37274i 0.924383 + 0.381465i \(0.124580\pi\)
−0.131834 + 0.991272i \(0.542086\pi\)
\(4\) −3.89617 −1.94809
\(5\) −2.09477 1.20941i −0.936809 0.540867i −0.0478502 0.998855i \(-0.515237\pi\)
−0.888958 + 0.457988i \(0.848570\pi\)
\(6\) 5.77342 3.33328i 2.35699 1.36081i
\(7\) −4.33186 + 2.50100i −1.63729 + 0.945289i −0.655527 + 0.755172i \(0.727553\pi\)
−0.981762 + 0.190117i \(0.939113\pi\)
\(8\) 4.60429i 1.62786i
\(9\) −2.26881 + 3.92970i −0.756270 + 1.30990i
\(10\) −2.93671 + 5.08652i −0.928668 + 1.60850i
\(11\) 4.09276 + 2.36296i 1.23401 + 0.712459i 0.967864 0.251473i \(-0.0809149\pi\)
0.266150 + 0.963932i \(0.414248\pi\)
\(12\) −5.34842 9.26373i −1.54396 2.67421i
\(13\) −0.352975 + 3.58823i −0.0978977 + 0.995196i
\(14\) 6.07293 + 10.5186i 1.62306 + 2.81122i
\(15\) 6.64083i 1.71466i
\(16\) 3.38782 0.846955
\(17\) −1.24548 2.15724i −0.302074 0.523207i 0.674532 0.738246i \(-0.264346\pi\)
−0.976606 + 0.215039i \(0.931012\pi\)
\(18\) 9.54210 + 5.50914i 2.24910 + 1.29852i
\(19\) −4.12975 + 2.38431i −0.947429 + 0.546998i −0.892281 0.451480i \(-0.850896\pi\)
−0.0551474 + 0.998478i \(0.517563\pi\)
\(20\) 8.16158 + 4.71209i 1.82498 + 1.05366i
\(21\) −11.8930 6.86643i −2.59526 1.49838i
\(22\) 5.73774 9.93806i 1.22329 2.11880i
\(23\) 0.407695 0.0850103 0.0425051 0.999096i \(-0.486466\pi\)
0.0425051 + 0.999096i \(0.486466\pi\)
\(24\) −10.9474 + 6.32048i −2.23463 + 1.29016i
\(25\) 0.425368 + 0.736759i 0.0850736 + 0.147352i
\(26\) 8.71296 + 0.857096i 1.70875 + 0.168090i
\(27\) −4.22150 −0.812429
\(28\) 16.8777 9.74432i 3.18958 1.84150i
\(29\) 0.937479 0.174085 0.0870427 0.996205i \(-0.472258\pi\)
0.0870427 + 0.996205i \(0.472258\pi\)
\(30\) −16.1253 −2.94406
\(31\) −1.51826 + 5.35676i −0.272687 + 0.962103i
\(32\) 0.982276i 0.173643i
\(33\) 12.9749i 2.25864i
\(34\) −5.23821 + 3.02428i −0.898346 + 0.518660i
\(35\) 12.0990 2.04510
\(36\) 8.83968 15.3108i 1.47328 2.55180i
\(37\) 2.00430 1.15719i 0.329506 0.190240i −0.326116 0.945330i \(-0.605740\pi\)
0.655622 + 0.755090i \(0.272407\pi\)
\(38\) 5.78959 + 10.0279i 0.939195 + 1.62673i
\(39\) −9.01610 + 4.08645i −1.44373 + 0.654355i
\(40\) 5.56850 9.64493i 0.880457 1.52500i
\(41\) −8.68112 5.01205i −1.35576 0.782751i −0.366714 0.930334i \(-0.619517\pi\)
−0.989050 + 0.147583i \(0.952851\pi\)
\(42\) −16.6731 + 28.8786i −2.57271 + 4.45607i
\(43\) 0.428046 + 0.741397i 0.0652764 + 0.113062i 0.896817 0.442403i \(-0.145874\pi\)
−0.831540 + 0.555465i \(0.812540\pi\)
\(44\) −15.9461 9.20649i −2.40397 1.38793i
\(45\) 9.50527 5.48787i 1.41696 0.818083i
\(46\) 0.989966i 0.145963i
\(47\) 2.40762i 0.351188i −0.984463 0.175594i \(-0.943815\pi\)
0.984463 0.175594i \(-0.0561846\pi\)
\(48\) 4.65058 + 8.05504i 0.671254 + 1.16265i
\(49\) 9.00999 15.6058i 1.28714 2.22939i
\(50\) 1.78900 1.03288i 0.253003 0.146071i
\(51\) 3.41944 5.92264i 0.478817 0.829335i
\(52\) 1.37525 13.9804i 0.190713 1.93873i
\(53\) −5.12189 + 8.87137i −0.703546 + 1.21858i 0.263668 + 0.964613i \(0.415068\pi\)
−0.967214 + 0.253963i \(0.918266\pi\)
\(54\) 10.2507i 1.39494i
\(55\) −5.71559 9.89970i −0.770690 1.33487i
\(56\) −11.5153 19.9451i −1.53880 2.66528i
\(57\) −11.3381 6.54606i −1.50177 0.867047i
\(58\) 2.27639i 0.298905i
\(59\) 9.00882 5.20124i 1.17285 0.677144i 0.218499 0.975837i \(-0.429884\pi\)
0.954349 + 0.298693i \(0.0965507\pi\)
\(60\) 25.8738i 3.34030i
\(61\) −4.35112 −0.557104 −0.278552 0.960421i \(-0.589854\pi\)
−0.278552 + 0.960421i \(0.589854\pi\)
\(62\) 13.0073 + 3.68664i 1.65193 + 0.468203i
\(63\) 22.6972i 2.85958i
\(64\) 9.16080 1.14510
\(65\) 5.07906 7.08962i 0.629980 0.879359i
\(66\) 31.5056 3.87808
\(67\) 7.21500 + 4.16558i 0.881453 + 0.508907i 0.871137 0.491040i \(-0.163383\pi\)
0.0103155 + 0.999947i \(0.496716\pi\)
\(68\) 4.85261 + 8.40497i 0.588466 + 1.01925i
\(69\) 0.559658 + 0.969356i 0.0673749 + 0.116697i
\(70\) 29.3788i 3.51144i
\(71\) −3.24465 1.87330i −0.385069 0.222320i 0.294952 0.955512i \(-0.404696\pi\)
−0.680021 + 0.733192i \(0.738030\pi\)
\(72\) −18.0935 10.4463i −2.13234 1.23111i
\(73\) 5.38151 + 3.10702i 0.629858 + 0.363649i 0.780697 0.624910i \(-0.214864\pi\)
−0.150839 + 0.988558i \(0.548198\pi\)
\(74\) −2.80988 4.86686i −0.326642 0.565761i
\(75\) −1.16784 + 2.02275i −0.134850 + 0.233567i
\(76\) 16.0902 9.28968i 1.84567 1.06560i
\(77\) −23.6390 −2.69392
\(78\) 9.92272 + 21.8929i 1.12353 + 2.47889i
\(79\) −3.94652 6.83557i −0.444018 0.769062i 0.553965 0.832540i \(-0.313114\pi\)
−0.997983 + 0.0634779i \(0.979781\pi\)
\(80\) −7.09669 4.09728i −0.793434 0.458090i
\(81\) 1.01142 + 1.75184i 0.112380 + 0.194649i
\(82\) −12.1703 + 21.0795i −1.34398 + 2.32785i
\(83\) 3.55686 + 2.05355i 0.390416 + 0.225407i 0.682340 0.731035i \(-0.260962\pi\)
−0.291924 + 0.956441i \(0.594296\pi\)
\(84\) 46.3372 + 26.7528i 5.05580 + 2.91897i
\(85\) 6.02522i 0.653527i
\(86\) 1.80026 1.03938i 0.194127 0.112079i
\(87\) 1.28691 + 2.22900i 0.137971 + 0.238973i
\(88\) −10.8798 + 18.8443i −1.15979 + 2.00881i
\(89\) 5.15881i 0.546833i 0.961896 + 0.273417i \(0.0881538\pi\)
−0.961896 + 0.273417i \(0.911846\pi\)
\(90\) −13.3257 23.0807i −1.40465 2.43292i
\(91\) −7.44513 16.4265i −0.780461 1.72196i
\(92\) −1.58845 −0.165607
\(93\) −14.8207 + 3.74354i −1.53683 + 0.388187i
\(94\) −5.84620 −0.602989
\(95\) 11.5345 1.18341
\(96\) −2.33551 + 1.34841i −0.238367 + 0.137621i
\(97\) 4.77033i 0.484354i −0.970232 0.242177i \(-0.922139\pi\)
0.970232 0.242177i \(-0.0778614\pi\)
\(98\) −37.8940 21.8781i −3.82787 2.21002i
\(99\) −18.5714 + 10.7222i −1.86650 + 1.07762i
\(100\) −1.65731 2.87054i −0.165731 0.287054i
\(101\) −1.53159 −0.152399 −0.0761997 0.997093i \(-0.524279\pi\)
−0.0761997 + 0.997093i \(0.524279\pi\)
\(102\) −14.3814 8.30309i −1.42397 0.822128i
\(103\) 0.670292 1.16098i 0.0660458 0.114395i −0.831112 0.556106i \(-0.812295\pi\)
0.897157 + 0.441711i \(0.145628\pi\)
\(104\) −16.5213 1.62520i −1.62004 0.159364i
\(105\) 16.6087 + 28.7671i 1.62084 + 2.80738i
\(106\) 21.5415 + 12.4370i 2.09230 + 1.20799i
\(107\) 8.91378 + 15.4391i 0.861728 + 1.49256i 0.870260 + 0.492593i \(0.163951\pi\)
−0.00853215 + 0.999964i \(0.502716\pi\)
\(108\) 16.4477 1.58268
\(109\) 14.6311i 1.40140i 0.713454 + 0.700702i \(0.247130\pi\)
−0.713454 + 0.700702i \(0.752870\pi\)
\(110\) −24.0385 + 13.8786i −2.29198 + 1.32327i
\(111\) 5.50276 + 3.17702i 0.522299 + 0.301550i
\(112\) −14.6755 + 8.47293i −1.38671 + 0.800617i
\(113\) −0.911585 + 1.57891i −0.0857547 + 0.148532i −0.905713 0.423892i \(-0.860663\pi\)
0.819958 + 0.572424i \(0.193997\pi\)
\(114\) −15.8952 + 27.5312i −1.48872 + 2.57854i
\(115\) −0.854026 0.493072i −0.0796384 0.0459792i
\(116\) −3.65258 −0.339133
\(117\) −13.2998 9.52811i −1.22957 0.880874i
\(118\) −12.6297 21.8752i −1.16266 2.01378i
\(119\) 10.7905 + 6.22990i 0.989164 + 0.571094i
\(120\) 30.5763 2.79123
\(121\) 5.66714 + 9.81578i 0.515195 + 0.892343i
\(122\) 10.5654i 0.956547i
\(123\) 27.5209i 2.48148i
\(124\) 5.91539 20.8709i 0.531218 1.87426i
\(125\) 10.0364i 0.897680i
\(126\) −55.1134 −4.90989
\(127\) 7.21809 + 12.5021i 0.640502 + 1.10938i 0.985321 + 0.170713i \(0.0546071\pi\)
−0.344819 + 0.938669i \(0.612060\pi\)
\(128\) 20.2797i 1.79249i
\(129\) −1.17519 + 2.03549i −0.103470 + 0.179215i
\(130\) −17.2150 12.3330i −1.50986 1.08168i
\(131\) 0.938752 + 1.62597i 0.0820191 + 0.142061i 0.904117 0.427285i \(-0.140530\pi\)
−0.822098 + 0.569346i \(0.807196\pi\)
\(132\) 50.5524i 4.40002i
\(133\) 11.9263 20.6570i 1.03414 1.79119i
\(134\) 10.1149 17.5195i 0.873793 1.51345i
\(135\) 8.84307 + 5.10555i 0.761090 + 0.439416i
\(136\) 9.93256 5.73457i 0.851710 0.491735i
\(137\) 3.83919 + 2.21656i 0.328004 + 0.189373i 0.654955 0.755668i \(-0.272688\pi\)
−0.326951 + 0.945041i \(0.606021\pi\)
\(138\) 2.35379 1.35896i 0.200368 0.115683i
\(139\) 0.397788 0.0337399 0.0168700 0.999858i \(-0.494630\pi\)
0.0168700 + 0.999858i \(0.494630\pi\)
\(140\) −47.1397 −3.98403
\(141\) 5.72448 3.30503i 0.482088 0.278334i
\(142\) −4.54875 + 7.87867i −0.381723 + 0.661163i
\(143\) −9.92349 + 13.8517i −0.829844 + 1.15834i
\(144\) −7.68632 + 13.3131i −0.640527 + 1.10942i
\(145\) −1.96380 1.13380i −0.163085 0.0941570i
\(146\) 7.54447 13.0674i 0.624385 1.08147i
\(147\) 49.4734 4.08049
\(148\) −7.80912 + 4.50860i −0.641906 + 0.370604i
\(149\) 3.07431 1.77496i 0.251857 0.145410i −0.368757 0.929526i \(-0.620217\pi\)
0.620614 + 0.784116i \(0.286883\pi\)
\(150\) 4.91165 + 2.83574i 0.401035 + 0.231538i
\(151\) 17.6023i 1.43245i −0.697869 0.716226i \(-0.745868\pi\)
0.697869 0.716226i \(-0.254132\pi\)
\(152\) −10.9781 19.0146i −0.890439 1.54228i
\(153\) 11.3031 0.913798
\(154\) 57.4004i 4.62545i
\(155\) 9.65894 9.38497i 0.775825 0.753819i
\(156\) 35.1283 15.9215i 2.81251 1.27474i
\(157\) −21.9248 −1.74979 −0.874894 0.484314i \(-0.839069\pi\)
−0.874894 + 0.484314i \(0.839069\pi\)
\(158\) −16.5982 + 9.58295i −1.32048 + 0.762379i
\(159\) −28.1240 −2.23038
\(160\) 1.18798 2.05764i 0.0939180 0.162671i
\(161\) −1.76608 + 1.01964i −0.139186 + 0.0803593i
\(162\) 4.25382 2.45594i 0.334211 0.192957i
\(163\) 9.82664i 0.769682i 0.922983 + 0.384841i \(0.125744\pi\)
−0.922983 + 0.384841i \(0.874256\pi\)
\(164\) 33.8232 + 19.5278i 2.64115 + 1.52487i
\(165\) 15.6920 27.1794i 1.22162 2.11591i
\(166\) 4.98645 8.63678i 0.387023 0.670344i
\(167\) −9.93681 + 5.73702i −0.768933 + 0.443944i −0.832494 0.554034i \(-0.813088\pi\)
0.0635605 + 0.997978i \(0.479754\pi\)
\(168\) 31.6150 54.7589i 2.43915 4.22474i
\(169\) −12.7508 2.53311i −0.980832 0.194855i
\(170\) 14.6305 1.12210
\(171\) 21.6382i 1.65471i
\(172\) −1.66774 2.88861i −0.127164 0.220255i
\(173\) −9.01550 + 15.6153i −0.685436 + 1.18721i 0.287863 + 0.957671i \(0.407055\pi\)
−0.973300 + 0.229539i \(0.926278\pi\)
\(174\) 5.41246 3.12488i 0.410317 0.236897i
\(175\) −3.68527 2.12769i −0.278580 0.160838i
\(176\) 13.8655 + 8.00527i 1.04515 + 0.603420i
\(177\) 24.7335 + 14.2799i 1.85908 + 1.07334i
\(178\) 12.5267 0.938912
\(179\) 3.90043 + 6.75574i 0.291531 + 0.504947i 0.974172 0.225807i \(-0.0725019\pi\)
−0.682641 + 0.730754i \(0.739169\pi\)
\(180\) −37.0342 + 21.3817i −2.76036 + 1.59370i
\(181\) 6.41028 11.1029i 0.476472 0.825274i −0.523164 0.852232i \(-0.675249\pi\)
0.999637 + 0.0269575i \(0.00858188\pi\)
\(182\) −39.8869 + 18.0783i −2.95661 + 1.34005i
\(183\) −5.97294 10.3454i −0.441533 0.764757i
\(184\) 1.87715i 0.138385i
\(185\) −5.59807 −0.411578
\(186\) 9.09007 + 35.9876i 0.666517 + 2.63874i
\(187\) 11.7721i 0.860860i
\(188\) 9.38051i 0.684144i
\(189\) 18.2869 10.5580i 1.33018 0.767979i
\(190\) 28.0081i 2.03192i
\(191\) 6.13544 10.6269i 0.443945 0.768935i −0.554033 0.832495i \(-0.686912\pi\)
0.997978 + 0.0635596i \(0.0202453\pi\)
\(192\) 12.5754 + 21.7812i 0.907549 + 1.57192i
\(193\) 5.52012 3.18704i 0.397347 0.229408i −0.287992 0.957633i \(-0.592988\pi\)
0.685339 + 0.728224i \(0.259654\pi\)
\(194\) −11.5833 −0.831635
\(195\) 23.8288 + 2.34405i 1.70642 + 0.167861i
\(196\) −35.1045 + 60.8027i −2.50746 + 4.34305i
\(197\) 16.8766 + 9.74371i 1.20241 + 0.694211i 0.961090 0.276235i \(-0.0890869\pi\)
0.241318 + 0.970446i \(0.422420\pi\)
\(198\) 26.0357 + 45.0952i 1.85028 + 3.20478i
\(199\) −2.10359 + 3.64353i −0.149120 + 0.258283i −0.930902 0.365268i \(-0.880977\pi\)
0.781783 + 0.623551i \(0.214311\pi\)
\(200\) −3.39226 + 1.95852i −0.239869 + 0.138488i
\(201\) 22.8730i 1.61334i
\(202\) 3.71902i 0.261670i
\(203\) −4.06102 + 2.34463i −0.285028 + 0.164561i
\(204\) −13.3227 + 23.0756i −0.932777 + 1.61562i
\(205\) 12.1233 + 20.9982i 0.846728 + 1.46658i
\(206\) −2.81910 1.62761i −0.196416 0.113401i
\(207\) −0.924983 + 1.60212i −0.0642908 + 0.111355i
\(208\) −1.19582 + 12.1563i −0.0829149 + 0.842886i
\(209\) −22.5361 −1.55885
\(210\) 69.8525 40.3293i 4.82028 2.78299i
\(211\) 13.7870 + 23.8797i 0.949134 + 1.64395i 0.747255 + 0.664538i \(0.231371\pi\)
0.201879 + 0.979410i \(0.435295\pi\)
\(212\) 19.9558 34.5644i 1.37057 2.37389i
\(213\) 10.2862i 0.704798i
\(214\) 37.4893 21.6445i 2.56272 1.47959i
\(215\) 2.07074i 0.141223i
\(216\) 19.4370i 1.32252i
\(217\) −6.82038 27.0019i −0.462998 1.83301i
\(218\) 35.5273 2.40621
\(219\) 17.0605i 1.15284i
\(220\) 22.2689 + 38.5709i 1.50137 + 2.60045i
\(221\) 8.18030 3.70763i 0.550266 0.249402i
\(222\) 7.71446 13.3618i 0.517761 0.896788i
\(223\) 8.65223 4.99537i 0.579396 0.334514i −0.181497 0.983391i \(-0.558094\pi\)
0.760893 + 0.648877i \(0.224761\pi\)
\(224\) −2.45667 4.25508i −0.164143 0.284304i
\(225\) −3.86032 −0.257355
\(226\) 3.83392 + 2.21351i 0.255028 + 0.147241i
\(227\) 10.3967 + 6.00255i 0.690054 + 0.398403i 0.803632 0.595126i \(-0.202898\pi\)
−0.113578 + 0.993529i \(0.536231\pi\)
\(228\) 44.1752 + 25.5046i 2.92558 + 1.68908i
\(229\) −1.63833 + 0.945893i −0.108264 + 0.0625064i −0.553154 0.833079i \(-0.686576\pi\)
0.444890 + 0.895585i \(0.353243\pi\)
\(230\) −1.19728 + 2.07375i −0.0789463 + 0.136739i
\(231\) −32.4501 56.2053i −2.13506 3.69804i
\(232\) 4.31643i 0.283387i
\(233\) −4.13757 −0.271061 −0.135531 0.990773i \(-0.543274\pi\)
−0.135531 + 0.990773i \(0.543274\pi\)
\(234\) −23.1362 + 32.2947i −1.51246 + 2.11117i
\(235\) −2.91181 + 5.04341i −0.189946 + 0.328996i
\(236\) −35.0999 + 20.2649i −2.28481 + 1.31914i
\(237\) 10.8351 18.7669i 0.703813 1.21904i
\(238\) 15.1275 26.2015i 0.980568 1.69839i
\(239\) −23.3278 13.4683i −1.50895 0.871193i −0.999946 0.0104299i \(-0.996680\pi\)
−0.509005 0.860763i \(-0.669987\pi\)
\(240\) 22.4979i 1.45224i
\(241\) −12.3153 + 7.11025i −0.793299 + 0.458011i −0.841123 0.540845i \(-0.818105\pi\)
0.0478239 + 0.998856i \(0.484771\pi\)
\(242\) 23.8347 13.7610i 1.53215 0.884589i
\(243\) −9.10909 + 15.7774i −0.584348 + 1.01212i
\(244\) 16.9527 1.08529
\(245\) −37.7477 + 21.7936i −2.41161 + 1.39234i
\(246\) −66.8263 −4.26069
\(247\) −7.09776 15.6601i −0.451620 0.996428i
\(248\) −24.6641 6.99050i −1.56617 0.443897i
\(249\) 11.2760i 0.714584i
\(250\) 24.3703 1.54132
\(251\) −5.04804 8.74345i −0.318629 0.551882i 0.661573 0.749881i \(-0.269889\pi\)
−0.980202 + 0.197999i \(0.936556\pi\)
\(252\) 88.4321i 5.57070i
\(253\) 1.66860 + 0.963366i 0.104904 + 0.0605663i
\(254\) 30.3577 17.5270i 1.90481 1.09974i
\(255\) −14.3259 + 8.27104i −0.897120 + 0.517952i
\(256\) −30.9217 −1.93261
\(257\) 3.15610 5.46653i 0.196872 0.340993i −0.750640 0.660711i \(-0.770255\pi\)
0.947513 + 0.319718i \(0.103588\pi\)
\(258\) 4.94257 + 2.85360i 0.307711 + 0.177657i
\(259\) −5.78824 + 10.0255i −0.359664 + 0.622956i
\(260\) −19.7889 + 27.6224i −1.22726 + 1.71307i
\(261\) −2.12696 + 3.68401i −0.131656 + 0.228034i
\(262\) 3.94818 2.27948i 0.243919 0.140827i
\(263\) −3.32582 −0.205079 −0.102539 0.994729i \(-0.532697\pi\)
−0.102539 + 0.994729i \(0.532697\pi\)
\(264\) −59.7401 −3.67675
\(265\) 21.4583 12.3890i 1.31818 0.761049i
\(266\) −50.1594 28.9595i −3.07547 1.77562i
\(267\) −12.2659 + 7.08169i −0.750658 + 0.433393i
\(268\) −28.1109 16.2298i −1.71715 0.991395i
\(269\) 11.6874 20.2431i 0.712591 1.23424i −0.251290 0.967912i \(-0.580855\pi\)
0.963881 0.266332i \(-0.0858119\pi\)
\(270\) 12.3973 21.4728i 0.754476 1.30679i
\(271\) 6.25054i 0.379693i 0.981814 + 0.189847i \(0.0607990\pi\)
−0.981814 + 0.189847i \(0.939201\pi\)
\(272\) −4.21947 7.30833i −0.255843 0.443133i
\(273\) 28.8363 40.2512i 1.74525 2.43611i
\(274\) 5.38225 9.32233i 0.325154 0.563183i
\(275\) 4.02051i 0.242446i
\(276\) −2.18052 3.77678i −0.131252 0.227335i
\(277\) 8.80477 0.529027 0.264514 0.964382i \(-0.414789\pi\)
0.264514 + 0.964382i \(0.414789\pi\)
\(278\) 0.965909i 0.0579314i
\(279\) −17.6058 18.1198i −1.05403 1.08480i
\(280\) 55.7073i 3.32915i
\(281\) 10.4028i 0.620582i 0.950642 + 0.310291i \(0.100426\pi\)
−0.950642 + 0.310291i \(0.899574\pi\)
\(282\) −8.02529 13.9002i −0.477899 0.827745i
\(283\) −31.1494 −1.85164 −0.925820 0.377964i \(-0.876624\pi\)
−0.925820 + 0.377964i \(0.876624\pi\)
\(284\) 12.6417 + 7.29870i 0.750148 + 0.433098i
\(285\) 15.8338 + 27.4249i 0.937913 + 1.62451i
\(286\) 33.6348 + 24.0962i 1.98887 + 1.42484i
\(287\) 50.1405 2.95970
\(288\) −3.86005 2.22860i −0.227455 0.131321i
\(289\) 5.39755 9.34883i 0.317503 0.549931i
\(290\) −2.75310 + 4.76851i −0.161668 + 0.280016i
\(291\) 11.3422 6.54841i 0.664890 0.383875i
\(292\) −20.9673 12.1055i −1.22702 0.708419i
\(293\) 8.62827 4.98153i 0.504069 0.291024i −0.226323 0.974052i \(-0.572671\pi\)
0.730392 + 0.683028i \(0.239337\pi\)
\(294\) 120.131i 7.00621i
\(295\) −25.1618 −1.46498
\(296\) 5.32802 + 9.22841i 0.309685 + 0.536390i
\(297\) −17.2776 9.97523i −1.00255 0.578822i
\(298\) −4.30995 7.46506i −0.249669 0.432439i
\(299\) −0.143906 + 1.46290i −0.00832231 + 0.0846019i
\(300\) 4.55009 7.88099i 0.262700 0.455009i
\(301\) −3.70847 2.14108i −0.213752 0.123410i
\(302\) −42.7419 −2.45952
\(303\) −2.10248 3.64159i −0.120784 0.209204i
\(304\) −13.9908 + 8.07761i −0.802429 + 0.463283i
\(305\) 9.11459 + 5.26231i 0.521900 + 0.301319i
\(306\) 27.4461i 1.56899i
\(307\) −13.0385 + 7.52780i −0.744148 + 0.429634i −0.823576 0.567206i \(-0.808024\pi\)
0.0794274 + 0.996841i \(0.474691\pi\)
\(308\) 92.1017 5.24798
\(309\) 3.68054 0.209379
\(310\) −22.7886 23.4539i −1.29431 1.33209i
\(311\) 4.64555 0.263425 0.131712 0.991288i \(-0.457952\pi\)
0.131712 + 0.991288i \(0.457952\pi\)
\(312\) −18.8152 41.5128i −1.06520 2.35020i
\(313\) 5.78428 + 10.0187i 0.326947 + 0.566289i 0.981904 0.189377i \(-0.0606469\pi\)
−0.654958 + 0.755666i \(0.727314\pi\)
\(314\) 53.2378i 3.00439i
\(315\) −27.4503 + 47.5453i −1.54665 + 2.67888i
\(316\) 15.3763 + 26.6326i 0.864986 + 1.49820i
\(317\) 24.9713 14.4172i 1.40253 0.809750i 0.407876 0.913037i \(-0.366270\pi\)
0.994652 + 0.103288i \(0.0329362\pi\)
\(318\) 68.2908i 3.82956i
\(319\) 3.83688 + 2.21522i 0.214824 + 0.124029i
\(320\) −19.1898 11.0792i −1.07274 0.619347i
\(321\) −24.4725 + 42.3877i −1.36592 + 2.36585i
\(322\) 2.47590 + 4.28839i 0.137977 + 0.238983i
\(323\) 10.2870 + 5.93923i 0.572387 + 0.330468i
\(324\) −3.94068 6.82546i −0.218927 0.379192i
\(325\) −2.79381 + 1.26626i −0.154972 + 0.0702395i
\(326\) 23.8611 1.32154
\(327\) −34.7876 + 20.0846i −1.92376 + 1.11068i
\(328\) 23.0770 39.9705i 1.27421 2.20700i
\(329\) 6.02146 + 10.4295i 0.331974 + 0.574996i
\(330\) −65.9970 38.1034i −3.63302 2.09752i
\(331\) −12.3911 7.15398i −0.681074 0.393218i 0.119185 0.992872i \(-0.461972\pi\)
−0.800260 + 0.599654i \(0.795305\pi\)
\(332\) −13.8581 8.00100i −0.760564 0.439112i
\(333\) 10.5017i 0.575492i
\(334\) 13.9307 + 24.1286i 0.762251 + 1.32026i
\(335\) −10.0758 17.4519i −0.550502 0.953497i
\(336\) −40.2913 23.2622i −2.19807 1.26906i
\(337\) 7.97797 0.434588 0.217294 0.976106i \(-0.430277\pi\)
0.217294 + 0.976106i \(0.430277\pi\)
\(338\) −6.15092 + 30.9616i −0.334566 + 1.68409i
\(339\) −5.00546 −0.271860
\(340\) 23.4753i 1.27313i
\(341\) −18.8717 + 18.3364i −1.02196 + 0.992971i
\(342\) −52.5420 −2.84114
\(343\) 55.1219i 2.97630i
\(344\) −3.41361 + 1.97085i −0.184050 + 0.106261i
\(345\) 2.70743i 0.145763i
\(346\) 37.9172 + 21.8915i 2.03844 + 1.17689i
\(347\) −8.88038 15.3813i −0.476724 0.825710i 0.522921 0.852381i \(-0.324842\pi\)
−0.999644 + 0.0266719i \(0.991509\pi\)
\(348\) −5.01403 8.68455i −0.268780 0.465541i
\(349\) 16.1953i 0.866912i −0.901175 0.433456i \(-0.857294\pi\)
0.901175 0.433456i \(-0.142706\pi\)
\(350\) −5.16646 + 8.94858i −0.276159 + 0.478322i
\(351\) 1.49009 15.1477i 0.0795349 0.808526i
\(352\) −2.32108 + 4.02022i −0.123714 + 0.214279i
\(353\) −12.9006 + 7.44817i −0.686631 + 0.396426i −0.802349 0.596856i \(-0.796416\pi\)
0.115718 + 0.993282i \(0.463083\pi\)
\(354\) 34.6744 60.0579i 1.84293 3.19204i
\(355\) 4.53119 + 7.84825i 0.240491 + 0.416542i
\(356\) 20.0996i 1.06528i
\(357\) 34.2080i 1.81048i
\(358\) 16.4043 9.47103i 0.866994 0.500559i
\(359\) 2.93159 + 1.69255i 0.154723 + 0.0893295i 0.575363 0.817898i \(-0.304861\pi\)
−0.420639 + 0.907228i \(0.638194\pi\)
\(360\) 25.2678 + 43.7650i 1.33173 + 2.30662i
\(361\) 1.86987 3.23870i 0.0984140 0.170458i
\(362\) −26.9602 15.5655i −1.41700 0.818103i
\(363\) −15.5590 + 26.9490i −0.816635 + 1.41445i
\(364\) 29.0075 + 64.0005i 1.52041 + 3.35454i
\(365\) −7.51534 13.0170i −0.393371 0.681338i
\(366\) −25.1208 + 14.5035i −1.31309 + 0.758111i
\(367\) 7.68287 13.3071i 0.401043 0.694627i −0.592809 0.805343i \(-0.701981\pi\)
0.993852 + 0.110716i \(0.0353145\pi\)
\(368\) 1.38120 0.0719998
\(369\) 39.3917 22.7428i 2.05065 1.18394i
\(370\) 13.5933i 0.706680i
\(371\) 51.2394i 2.66021i
\(372\) 57.7439 14.5855i 2.99388 0.756222i
\(373\) 9.53437 0.493671 0.246835 0.969057i \(-0.420609\pi\)
0.246835 + 0.969057i \(0.420609\pi\)
\(374\) −28.5850 −1.47810
\(375\) −23.8630 + 13.7773i −1.23228 + 0.711456i
\(376\) 11.0854 0.571686
\(377\) −0.330907 + 3.36389i −0.0170426 + 0.173249i
\(378\) −25.6369 44.4044i −1.31862 2.28392i
\(379\) −3.39336 + 1.95916i −0.174305 + 0.100635i −0.584614 0.811311i \(-0.698754\pi\)
0.410309 + 0.911947i \(0.365421\pi\)
\(380\) −44.9403 −2.30539
\(381\) −19.8171 + 34.3242i −1.01526 + 1.75848i
\(382\) −25.8043 14.8981i −1.32026 0.762253i
\(383\) −8.84392 5.10604i −0.451903 0.260906i 0.256730 0.966483i \(-0.417355\pi\)
−0.708634 + 0.705577i \(0.750688\pi\)
\(384\) 48.2181 27.8387i 2.46062 1.42064i
\(385\) 49.5183 + 28.5894i 2.52368 + 1.45705i
\(386\) −7.73879 13.4040i −0.393894 0.682245i
\(387\) −3.88462 −0.197466
\(388\) 18.5860i 0.943563i
\(389\) 16.8293 + 29.1492i 0.853280 + 1.47792i 0.878231 + 0.478236i \(0.158724\pi\)
−0.0249513 + 0.999689i \(0.507943\pi\)
\(390\) 5.69183 57.8613i 0.288217 2.92992i
\(391\) −0.507777 0.879495i −0.0256794 0.0444780i
\(392\) 71.8535 + 41.4846i 3.62915 + 2.09529i
\(393\) −2.57732 + 4.46405i −0.130009 + 0.225181i
\(394\) 23.6597 40.9798i 1.19196 2.06453i
\(395\) 19.0919i 0.960619i
\(396\) 72.3575 41.7756i 3.63610 2.09930i
\(397\) −19.4081 + 11.2052i −0.974063 + 0.562375i −0.900472 0.434913i \(-0.856779\pi\)
−0.0735902 + 0.997289i \(0.523446\pi\)
\(398\) 8.84724 + 5.10796i 0.443472 + 0.256039i
\(399\) 65.4867 3.27844
\(400\) 1.44107 + 2.49601i 0.0720535 + 0.124800i
\(401\) 31.0420i 1.55016i −0.631862 0.775081i \(-0.717709\pi\)
0.631862 0.775081i \(-0.282291\pi\)
\(402\) 55.5403 2.77010
\(403\) −18.6854 7.33866i −0.930786 0.365565i
\(404\) 5.96736 0.296887
\(405\) 4.89292i 0.243131i
\(406\) 5.69325 + 9.86099i 0.282551 + 0.489393i
\(407\) 10.9375 0.542153
\(408\) 27.2696 + 15.7441i 1.35005 + 0.779449i
\(409\) −0.861027 + 0.497114i −0.0425751 + 0.0245807i −0.521136 0.853473i \(-0.674492\pi\)
0.478561 + 0.878054i \(0.341158\pi\)
\(410\) 50.9878 29.4378i 2.51811 1.45383i
\(411\) 12.1710i 0.600351i
\(412\) −2.61157 + 4.52338i −0.128663 + 0.222851i
\(413\) −26.0166 + 45.0621i −1.28019 + 2.21736i
\(414\) 3.89027 + 2.24605i 0.191196 + 0.110387i
\(415\) −4.96720 8.60344i −0.243830 0.422326i
\(416\) −3.52463 0.346719i −0.172809 0.0169993i
\(417\) 0.546058 + 0.945799i 0.0267406 + 0.0463160i
\(418\) 54.7222i 2.67655i
\(419\) −5.05509 −0.246957 −0.123479 0.992347i \(-0.539405\pi\)
−0.123479 + 0.992347i \(0.539405\pi\)
\(420\) −64.7104 112.082i −3.15754 5.46903i
\(421\) −2.21929 1.28131i −0.108162 0.0624472i 0.444943 0.895559i \(-0.353224\pi\)
−0.553105 + 0.833112i \(0.686557\pi\)
\(422\) 57.9848 33.4776i 2.82266 1.62966i
\(423\) 9.46123 + 5.46244i 0.460021 + 0.265593i
\(424\) −40.8464 23.5827i −1.98368 1.14528i
\(425\) 1.05958 1.83524i 0.0513970 0.0890222i
\(426\) −24.9769 −1.21014
\(427\) 18.8484 10.8821i 0.912139 0.526624i
\(428\) −34.7296 60.1535i −1.67872 2.90763i
\(429\) −46.5569 4.57981i −2.24779 0.221115i
\(430\) −5.02818 −0.242480
\(431\) 13.3276 7.69468i 0.641967 0.370640i −0.143405 0.989664i \(-0.545805\pi\)
0.785372 + 0.619024i \(0.212472\pi\)
\(432\) −14.3017 −0.688090
\(433\) −26.7208 −1.28412 −0.642059 0.766655i \(-0.721920\pi\)
−0.642059 + 0.766655i \(0.721920\pi\)
\(434\) −65.5661 + 16.5613i −3.14727 + 0.794967i
\(435\) 6.22564i 0.298496i
\(436\) 57.0053i 2.73006i
\(437\) −1.68368 + 0.972071i −0.0805412 + 0.0465005i
\(438\) 41.4263 1.97942
\(439\) 19.3670 33.5446i 0.924336 1.60100i 0.131711 0.991288i \(-0.457953\pi\)
0.792625 0.609709i \(-0.208714\pi\)
\(440\) 45.5811 26.3163i 2.17299 1.25458i
\(441\) 40.8839 + 70.8131i 1.94685 + 3.37205i
\(442\) −9.00287 19.8634i −0.428223 0.944807i
\(443\) 10.4061 18.0239i 0.494409 0.856341i −0.505570 0.862785i \(-0.668718\pi\)
0.999979 + 0.00644397i \(0.00205119\pi\)
\(444\) −21.4397 12.3782i −1.01748 0.587445i
\(445\) 6.23915 10.8065i 0.295764 0.512278i
\(446\) −12.1298 21.0094i −0.574361 0.994823i
\(447\) 8.44044 + 4.87309i 0.399219 + 0.230489i
\(448\) −39.6833 + 22.9112i −1.87486 + 1.08245i
\(449\) 17.8411i 0.841976i 0.907066 + 0.420988i \(0.138317\pi\)
−0.907066 + 0.420988i \(0.861683\pi\)
\(450\) 9.37364i 0.441878i
\(451\) −23.6865 41.0263i −1.11536 1.93185i
\(452\) 3.55169 6.15171i 0.167058 0.289352i
\(453\) 41.8520 24.1633i 1.96638 1.13529i
\(454\) 14.5754 25.2454i 0.684058 1.18482i
\(455\) −4.27064 + 43.4139i −0.200211 + 2.03528i
\(456\) 30.1400 52.2040i 1.41143 2.44468i
\(457\) 22.1733i 1.03722i 0.855010 + 0.518612i \(0.173551\pi\)
−0.855010 + 0.518612i \(0.826449\pi\)
\(458\) 2.29682 + 3.97821i 0.107323 + 0.185890i
\(459\) 5.25781 + 9.10679i 0.245413 + 0.425068i
\(460\) 3.32743 + 1.92109i 0.155142 + 0.0895715i
\(461\) 22.4898i 1.04745i −0.851886 0.523727i \(-0.824541\pi\)
0.851886 0.523727i \(-0.175459\pi\)
\(462\) −136.478 + 78.7956i −6.34953 + 3.66590i
\(463\) 6.96342i 0.323618i 0.986822 + 0.161809i \(0.0517328\pi\)
−0.986822 + 0.161809i \(0.948267\pi\)
\(464\) 3.17601 0.147442
\(465\) 35.5734 + 10.0825i 1.64967 + 0.467564i
\(466\) 10.0469i 0.465412i
\(467\) 19.6568 0.909609 0.454805 0.890591i \(-0.349709\pi\)
0.454805 + 0.890591i \(0.349709\pi\)
\(468\) 51.8184 + 37.1232i 2.39531 + 1.71602i
\(469\) −41.6725 −1.92426
\(470\) 12.2464 + 7.07048i 0.564886 + 0.326137i
\(471\) −30.0970 52.1295i −1.38679 2.40200i
\(472\) 23.9481 + 41.4792i 1.10230 + 1.90924i
\(473\) 4.04582i 0.186027i
\(474\) −45.5698 26.3097i −2.09309 1.20845i
\(475\) −3.51332 2.02842i −0.161202 0.0930702i
\(476\) −42.0417 24.2728i −1.92698 1.11254i
\(477\) −23.2412 40.2549i −1.06414 1.84315i
\(478\) −32.7038 + 56.6447i −1.49584 + 2.59087i
\(479\) −15.7799 + 9.11052i −0.721002 + 0.416271i −0.815121 0.579290i \(-0.803330\pi\)
0.0941196 + 0.995561i \(0.469996\pi\)
\(480\) 6.52313 0.297739
\(481\) 3.44478 + 7.60037i 0.157069 + 0.346547i
\(482\) 17.2651 + 29.9041i 0.786405 + 1.36209i
\(483\) −4.84872 2.79941i −0.220624 0.127377i
\(484\) −22.0802 38.2440i −1.00364 1.73836i
\(485\) −5.76931 + 9.99274i −0.261971 + 0.453747i
\(486\) 38.3108 + 22.1187i 1.73781 + 1.00333i
\(487\) −31.2775 18.0580i −1.41732 0.818288i −0.421254 0.906943i \(-0.638410\pi\)
−0.996062 + 0.0886542i \(0.971743\pi\)
\(488\) 20.0338i 0.906889i
\(489\) −23.3643 + 13.4894i −1.05657 + 0.610011i
\(490\) 52.9194 + 91.6590i 2.39065 + 4.14073i
\(491\) 0.702004 1.21591i 0.0316810 0.0548731i −0.849750 0.527186i \(-0.823247\pi\)
0.881431 + 0.472312i \(0.156581\pi\)
\(492\) 107.226i 4.83413i
\(493\) −1.16761 2.02236i −0.0525866 0.0910827i
\(494\) −38.0259 + 17.2348i −1.71087 + 0.775430i
\(495\) 51.8704 2.33140
\(496\) −5.14358 + 18.1477i −0.230954 + 0.814857i
\(497\) 18.7405 0.840625
\(498\) 27.3803 1.22694
\(499\) 14.4311 8.33182i 0.646027 0.372984i −0.140906 0.990023i \(-0.545001\pi\)
0.786932 + 0.617039i \(0.211668\pi\)
\(500\) 39.1034i 1.74876i
\(501\) −27.2812 15.7508i −1.21884 0.703695i
\(502\) −21.2309 + 12.2577i −0.947581 + 0.547086i
\(503\) 17.1202 + 29.6530i 0.763352 + 1.32216i 0.941114 + 0.338090i \(0.109781\pi\)
−0.177762 + 0.984073i \(0.556886\pi\)
\(504\) 104.504 4.65500
\(505\) 3.20833 + 1.85233i 0.142769 + 0.0824277i
\(506\) 2.33925 4.05170i 0.103992 0.180120i
\(507\) −11.4807 33.7943i −0.509874 1.50086i
\(508\) −28.1229 48.7104i −1.24775 2.16117i
\(509\) 18.0616 + 10.4279i 0.800567 + 0.462208i 0.843670 0.536863i \(-0.180391\pi\)
−0.0431021 + 0.999071i \(0.513724\pi\)
\(510\) 20.0838 + 34.7861i 0.889324 + 1.54035i
\(511\) −31.0826 −1.37501
\(512\) 34.5248i 1.52579i
\(513\) 17.4337 10.0654i 0.769718 0.444397i
\(514\) −13.2739 7.66366i −0.585484 0.338030i
\(515\) −2.80821 + 1.62132i −0.123745 + 0.0714440i
\(516\) 4.57874 7.93061i 0.201568 0.349125i
\(517\) 5.68911 9.85383i 0.250207 0.433371i
\(518\) 24.3440 + 14.0550i 1.06961 + 0.617542i
\(519\) −49.5036 −2.17297
\(520\) 32.6427 + 23.3855i 1.43148 + 1.02552i
\(521\) 6.98837 + 12.1042i 0.306166 + 0.530296i 0.977520 0.210841i \(-0.0676203\pi\)
−0.671354 + 0.741137i \(0.734287\pi\)
\(522\) 8.94552 + 5.16470i 0.391535 + 0.226053i
\(523\) 12.5120 0.547112 0.273556 0.961856i \(-0.411800\pi\)
0.273556 + 0.961856i \(0.411800\pi\)
\(524\) −3.65754 6.33505i −0.159780 0.276748i
\(525\) 11.6830i 0.509889i
\(526\) 8.07577i 0.352120i
\(527\) 13.4468 3.39651i 0.585751 0.147954i
\(528\) 43.9565i 1.91296i
\(529\) −22.8338 −0.992773
\(530\) −30.0830 52.1052i −1.30672 2.26331i
\(531\) 47.2026i 2.04842i
\(532\) −46.4670 + 80.4832i −2.01460 + 3.48939i
\(533\) 21.0486 29.3808i 0.911717 1.27262i
\(534\) 17.1958 + 29.7840i 0.744135 + 1.28888i
\(535\) 43.1218i 1.86432i
\(536\) −19.1796 + 33.2200i −0.828431 + 1.43488i
\(537\) −10.7085 + 18.5477i −0.462106 + 0.800392i
\(538\) −49.1544 28.3793i −2.11920 1.22352i
\(539\) 73.7515 42.5805i 3.17670 1.83407i
\(540\) −34.4541 19.8921i −1.48267 0.856019i
\(541\) −3.15730 + 1.82287i −0.135743 + 0.0783713i −0.566334 0.824176i \(-0.691639\pi\)
0.430591 + 0.902547i \(0.358305\pi\)
\(542\) 15.1776 0.651933
\(543\) 35.1985 1.51051
\(544\) 2.11900 1.22341i 0.0908515 0.0524531i
\(545\) 17.6951 30.6487i 0.757973 1.31285i
\(546\) −97.7380 70.0203i −4.18280 2.99659i
\(547\) −9.42960 + 16.3325i −0.403180 + 0.698329i −0.994108 0.108396i \(-0.965429\pi\)
0.590927 + 0.806725i \(0.298762\pi\)
\(548\) −14.9581 8.63609i −0.638980 0.368916i
\(549\) 9.87187 17.0986i 0.421321 0.729750i
\(550\) 9.76261 0.416279
\(551\) −3.87155 + 2.23524i −0.164934 + 0.0952244i
\(552\) −4.46320 + 2.57683i −0.189966 + 0.109677i
\(553\) 34.1915 + 19.7405i 1.45397 + 0.839451i
\(554\) 21.3798i 0.908339i
\(555\) −7.68468 13.3102i −0.326196 0.564989i
\(556\) −1.54985 −0.0657283
\(557\) 10.7520i 0.455578i 0.973711 + 0.227789i \(0.0731496\pi\)
−0.973711 + 0.227789i \(0.926850\pi\)
\(558\) −43.9985 + 42.7505i −1.86260 + 1.80977i
\(559\) −2.81139 + 1.27423i −0.118909 + 0.0538943i
\(560\) 40.9891 1.73211
\(561\) 27.9899 16.1600i 1.18173 0.682275i
\(562\) 25.2602 1.06554
\(563\) −9.28886 + 16.0888i −0.391479 + 0.678061i −0.992645 0.121063i \(-0.961370\pi\)
0.601166 + 0.799124i \(0.294703\pi\)
\(564\) −22.3036 + 12.8770i −0.939150 + 0.542218i
\(565\) 3.81912 2.20497i 0.160671 0.0927637i
\(566\) 75.6371i 3.17927i
\(567\) −8.76268 5.05914i −0.367998 0.212464i
\(568\) 8.62522 14.9393i 0.361906 0.626840i
\(569\) 13.1217 22.7274i 0.550090 0.952783i −0.448178 0.893944i \(-0.647927\pi\)
0.998267 0.0588390i \(-0.0187398\pi\)
\(570\) 66.5934 38.4477i 2.78929 1.61040i
\(571\) −10.6760 + 18.4914i −0.446777 + 0.773841i −0.998174 0.0604023i \(-0.980762\pi\)
0.551397 + 0.834243i \(0.314095\pi\)
\(572\) 38.6636 53.9687i 1.61661 2.25654i
\(573\) 33.6894 1.40739
\(574\) 121.751i 5.08181i
\(575\) 0.173420 + 0.300373i 0.00723213 + 0.0125264i
\(576\) −20.7841 + 35.9992i −0.866006 + 1.49997i
\(577\) −2.21121 + 1.27664i −0.0920539 + 0.0531474i −0.545320 0.838228i \(-0.683592\pi\)
0.453266 + 0.891375i \(0.350259\pi\)
\(578\) −22.7009 13.1063i −0.944231 0.545152i
\(579\) 15.1553 + 8.74994i 0.629835 + 0.363635i
\(580\) 7.65130 + 4.41748i 0.317703 + 0.183426i
\(581\) −20.5437 −0.852298
\(582\) −15.9009 27.5411i −0.659112 1.14162i
\(583\) −41.9254 + 24.2056i −1.73637 + 1.00249i
\(584\) −14.3056 + 24.7781i −0.591971 + 1.02532i
\(585\) 16.3366 + 36.0442i 0.675436 + 1.49024i
\(586\) −12.0962 20.9512i −0.499688 0.865486i
\(587\) 1.67786i 0.0692529i 0.999400 + 0.0346264i \(0.0110241\pi\)
−0.999400 + 0.0346264i \(0.988976\pi\)
\(588\) −192.757 −7.94916
\(589\) −6.50216 25.7421i −0.267917 1.06068i
\(590\) 61.0981i 2.51537i
\(591\) 53.5022i 2.20079i
\(592\) 6.79022 3.92034i 0.279076 0.161125i
\(593\) 8.62049i 0.354001i 0.984211 + 0.177000i \(0.0566394\pi\)
−0.984211 + 0.177000i \(0.943361\pi\)
\(594\) −24.2219 + 41.9536i −0.993836 + 1.72138i
\(595\) −15.0691 26.1004i −0.617771 1.07001i
\(596\) −11.9781 + 6.91553i −0.490640 + 0.283271i
\(597\) −11.5507 −0.472740
\(598\) 3.55223 + 0.349434i 0.145261 + 0.0142894i
\(599\) −6.43015 + 11.1373i −0.262729 + 0.455060i −0.966966 0.254905i \(-0.917956\pi\)
0.704237 + 0.709965i \(0.251289\pi\)
\(600\) −9.31335 5.37706i −0.380216 0.219518i
\(601\) −4.73732 8.20528i −0.193239 0.334701i 0.753083 0.657926i \(-0.228566\pi\)
−0.946322 + 0.323226i \(0.895233\pi\)
\(602\) −5.19899 + 9.00491i −0.211895 + 0.367013i
\(603\) −32.7389 + 18.9018i −1.33323 + 0.769742i
\(604\) 68.5815i 2.79054i
\(605\) 27.4157i 1.11461i
\(606\) −8.84253 + 5.10524i −0.359203 + 0.207386i
\(607\) −6.89431 + 11.9413i −0.279831 + 0.484682i −0.971343 0.237683i \(-0.923612\pi\)
0.691511 + 0.722366i \(0.256945\pi\)
\(608\) −2.34205 4.05655i −0.0949826 0.164515i
\(609\) −11.1494 6.43713i −0.451798 0.260846i
\(610\) 12.7780 22.1321i 0.517364 0.896101i
\(611\) 8.63911 + 0.849831i 0.349501 + 0.0343805i
\(612\) −44.0387 −1.78016
\(613\) −35.4721 + 20.4798i −1.43271 + 0.827173i −0.997327 0.0730736i \(-0.976719\pi\)
−0.435380 + 0.900247i \(0.643386\pi\)
\(614\) 18.2790 + 31.6602i 0.737682 + 1.27770i
\(615\) −33.2842 + 57.6499i −1.34215 + 2.32467i
\(616\) 108.841i 4.38533i
\(617\) 21.4639 12.3922i 0.864105 0.498891i −0.00128001 0.999999i \(-0.500407\pi\)
0.865385 + 0.501108i \(0.167074\pi\)
\(618\) 8.93710i 0.359503i
\(619\) 16.6086i 0.667556i −0.942652 0.333778i \(-0.891676\pi\)
0.942652 0.333778i \(-0.108324\pi\)
\(620\) −37.6329 + 36.5655i −1.51137 + 1.46850i
\(621\) −1.72109 −0.0690648
\(622\) 11.2803i 0.452300i
\(623\) −12.9022 22.3472i −0.516915 0.895323i
\(624\) −30.5449 + 13.8441i −1.22278 + 0.554209i
\(625\) 14.2650 24.7076i 0.570599 0.988306i
\(626\) 24.3274 14.0454i 0.972317 0.561367i
\(627\) −30.9361 53.5829i −1.23547 2.13990i
\(628\) 85.4228 3.40874
\(629\) −4.99265 2.88251i −0.199070 0.114933i
\(630\) 115.450 + 66.6549i 4.59963 + 2.65560i
\(631\) 32.7695 + 18.9195i 1.30453 + 0.753172i 0.981178 0.193107i \(-0.0618563\pi\)
0.323354 + 0.946278i \(0.395190\pi\)
\(632\) 31.4730 18.1709i 1.25193 0.722801i
\(633\) −37.8517 + 65.5611i −1.50447 + 2.60582i
\(634\) −35.0079 60.6354i −1.39034 2.40814i
\(635\) 34.9187i 1.38571i
\(636\) 109.576 4.34497
\(637\) 52.8168 + 37.8384i 2.09268 + 1.49921i
\(638\) 5.37901 9.31672i 0.212957 0.368853i
\(639\) 14.7230 8.50032i 0.582433 0.336268i
\(640\) −24.5266 + 42.4814i −0.969500 + 1.67922i
\(641\) −6.33241 + 10.9681i −0.250115 + 0.433212i −0.963557 0.267502i \(-0.913802\pi\)
0.713442 + 0.700714i \(0.247135\pi\)
\(642\) 102.926 + 59.4243i 4.06216 + 2.34529i
\(643\) 43.3982i 1.71146i −0.517424 0.855729i \(-0.673109\pi\)
0.517424 0.855729i \(-0.326891\pi\)
\(644\) 6.88094 3.97271i 0.271147 0.156547i
\(645\) 4.92349 2.84258i 0.193862 0.111926i
\(646\) 14.4217 24.9790i 0.567413 0.982788i
\(647\) −24.4558 −0.961456 −0.480728 0.876870i \(-0.659628\pi\)
−0.480728 + 0.876870i \(0.659628\pi\)
\(648\) −8.06597 + 4.65689i −0.316861 + 0.182940i
\(649\) 49.1613 1.92975
\(650\) 3.07474 + 6.78393i 0.120601 + 0.266088i
\(651\) 54.8384 53.2830i 2.14929 2.08832i
\(652\) 38.2863i 1.49941i
\(653\) 16.8506 0.659416 0.329708 0.944083i \(-0.393050\pi\)
0.329708 + 0.944083i \(0.393050\pi\)
\(654\) 48.7696 + 84.4714i 1.90704 + 3.30309i
\(655\) 4.54136i 0.177446i
\(656\) −29.4101 16.9799i −1.14827 0.662954i
\(657\) −24.4193 + 14.0985i −0.952686 + 0.550034i
\(658\) 25.3249 14.6213i 0.987267 0.569999i
\(659\) −26.1683 −1.01937 −0.509686 0.860360i \(-0.670239\pi\)
−0.509686 + 0.860360i \(0.670239\pi\)
\(660\) −61.1388 + 105.895i −2.37982 + 4.12198i
\(661\) 6.55204 + 3.78282i 0.254845 + 0.147135i 0.621981 0.783033i \(-0.286328\pi\)
−0.367136 + 0.930167i \(0.619662\pi\)
\(662\) −17.3713 + 30.0880i −0.675156 + 1.16940i
\(663\) 20.0448 + 14.3603i 0.778477 + 0.557707i
\(664\) −9.45517 + 16.3768i −0.366932 + 0.635544i
\(665\) −49.9657 + 28.8477i −1.93759 + 1.11867i
\(666\) 25.5004 0.988120
\(667\) 0.382205 0.0147990
\(668\) 38.7155 22.3524i 1.49795 0.864841i
\(669\) 23.7545 + 13.7146i 0.918401 + 0.530239i
\(670\) −42.3767 + 24.4662i −1.63715 + 0.945211i
\(671\) −17.8081 10.2815i −0.687474 0.396913i
\(672\) 6.74472 11.6822i 0.260183 0.450651i
\(673\) −9.92517 + 17.1909i −0.382587 + 0.662660i −0.991431 0.130630i \(-0.958300\pi\)
0.608844 + 0.793290i \(0.291633\pi\)
\(674\) 19.3721i 0.746187i
\(675\) −1.79569 3.11023i −0.0691162 0.119713i
\(676\) 49.6794 + 9.86945i 1.91075 + 0.379594i
\(677\) −12.2128 + 21.1532i −0.469377 + 0.812984i −0.999387 0.0350070i \(-0.988855\pi\)
0.530010 + 0.847991i \(0.322188\pi\)
\(678\) 12.1543i 0.466783i
\(679\) 11.9306 + 20.6644i 0.457854 + 0.793027i
\(680\) −27.7419 −1.06385
\(681\) 32.9597i 1.26302i
\(682\) 44.5245 + 45.8243i 1.70493 + 1.75470i
\(683\) 8.21428i 0.314311i −0.987574 0.157155i \(-0.949768\pi\)
0.987574 0.157155i \(-0.0502323\pi\)
\(684\) 84.3062i 3.22353i
\(685\) −5.36147 9.28635i −0.204851 0.354813i
\(686\) 133.847 5.11031
\(687\) −4.49800 2.59692i −0.171610 0.0990788i
\(688\) 1.45014 + 2.51172i 0.0552861 + 0.0957584i
\(689\) −30.0246 21.5099i −1.14385 0.819462i
\(690\) −6.57420 −0.250276
\(691\) −13.2405 7.64443i −0.503694 0.290808i 0.226544 0.974001i \(-0.427257\pi\)
−0.730238 + 0.683193i \(0.760591\pi\)
\(692\) 35.1260 60.8400i 1.33529 2.31279i
\(693\) 53.6325 92.8942i 2.03733 3.52876i
\(694\) −37.3488 + 21.5634i −1.41774 + 0.818534i
\(695\) −0.833273 0.481090i −0.0316078 0.0182488i
\(696\) −10.2630 + 5.92532i −0.389016 + 0.224599i
\(697\) 24.9697i 0.945794i
\(698\) −39.3254 −1.48849
\(699\) −5.67980 9.83770i −0.214830 0.372096i
\(700\) 14.3584 + 8.28985i 0.542698 + 0.313327i
\(701\) −4.10601 7.11182i −0.155082 0.268610i 0.778007 0.628256i \(-0.216231\pi\)
−0.933089 + 0.359646i \(0.882898\pi\)
\(702\) −36.7818 3.61823i −1.38824 0.136561i
\(703\) −5.51818 + 9.55777i −0.208122 + 0.360478i
\(704\) 37.4930 + 21.6466i 1.41307 + 0.815837i
\(705\) −15.9886 −0.602166
\(706\) 18.0857 + 31.3253i 0.680664 + 1.17894i
\(707\) 6.63465 3.83052i 0.249522 0.144061i
\(708\) −96.3658 55.6368i −3.62165 2.09096i
\(709\) 45.6697i 1.71516i 0.514351 + 0.857580i \(0.328033\pi\)
−0.514351 + 0.857580i \(0.671967\pi\)
\(710\) 19.0572 11.0027i 0.715202 0.412922i
\(711\) 35.8156 1.34319
\(712\) −23.7527 −0.890170
\(713\) −0.618986 + 2.18392i −0.0231812 + 0.0817886i
\(714\) 83.0641 3.10860
\(715\) 37.5399 17.0145i 1.40391 0.636307i
\(716\) −15.1967 26.3215i −0.567929 0.983681i
\(717\) 73.9538i 2.76186i
\(718\) 4.10986 7.11849i 0.153379 0.265660i
\(719\) 18.9930 + 32.8969i 0.708320 + 1.22685i 0.965480 + 0.260478i \(0.0838801\pi\)
−0.257159 + 0.966369i \(0.582787\pi\)
\(720\) 32.2021 18.5919i 1.20010 0.692879i
\(721\) 6.70560i 0.249730i
\(722\) −7.86423 4.54042i −0.292676 0.168977i
\(723\) −33.8113 19.5210i −1.25746 0.725993i
\(724\) −24.9756 + 43.2589i −0.928209 + 1.60771i
\(725\) 0.398773 + 0.690696i 0.0148101 + 0.0256518i
\(726\) 65.4375 + 37.7804i 2.42862 + 1.40216i
\(727\) 12.4340 + 21.5363i 0.461152 + 0.798739i 0.999019 0.0442912i \(-0.0141029\pi\)
−0.537867 + 0.843030i \(0.680770\pi\)
\(728\) 75.6324 34.2795i 2.80312 1.27048i
\(729\) −43.9490 −1.62774
\(730\) −31.6078 + 18.2488i −1.16986 + 0.675418i
\(731\) 1.06625 1.84679i 0.0394366 0.0683061i
\(732\) 23.2716 + 40.3076i 0.860144 + 1.48981i
\(733\) −19.8536 11.4625i −0.733311 0.423377i 0.0863211 0.996267i \(-0.472489\pi\)
−0.819632 + 0.572890i \(0.805822\pi\)
\(734\) −32.3124 18.6556i −1.19267 0.688590i
\(735\) −103.635 59.8338i −3.82264 2.20700i
\(736\) 0.400469i 0.0147615i
\(737\) 19.6862 + 34.0975i 0.725150 + 1.25600i
\(738\) −55.2241 95.6510i −2.03283 3.52096i
\(739\) −16.2121 9.36006i −0.596372 0.344315i 0.171241 0.985229i \(-0.445222\pi\)
−0.767613 + 0.640914i \(0.778556\pi\)
\(740\) 21.8111 0.801790
\(741\) 27.4908 38.3732i 1.00990 1.40967i
\(742\) −124.420 −4.56759
\(743\) 33.2268i 1.21897i 0.792796 + 0.609487i \(0.208625\pi\)
−0.792796 + 0.609487i \(0.791375\pi\)
\(744\) −17.2364 68.2387i −0.631915 2.50175i
\(745\) −8.58663 −0.314590
\(746\) 23.1514i 0.847633i
\(747\) −16.1397 + 9.31825i −0.590520 + 0.340937i
\(748\) 45.8661i 1.67703i
\(749\) −77.2265 44.5867i −2.82179 1.62916i
\(750\) 33.4540 + 57.9441i 1.22157 + 2.11582i
\(751\) −6.80244 11.7822i −0.248225 0.429938i 0.714809 0.699320i \(-0.246514\pi\)
−0.963033 + 0.269382i \(0.913180\pi\)
\(752\) 8.15659i 0.297440i
\(753\) 13.8592 24.0049i 0.505059 0.874788i
\(754\) 8.16821 + 0.803509i 0.297469 + 0.0292621i
\(755\) −21.2884 + 36.8727i −0.774765 + 1.34193i
\(756\) −71.2491 + 41.1357i −2.59130 + 1.49609i
\(757\) 27.0423 46.8387i 0.982870 1.70238i 0.331827 0.943340i \(-0.392335\pi\)
0.651043 0.759040i \(-0.274332\pi\)
\(758\) 4.75724 + 8.23978i 0.172791 + 0.299282i
\(759\) 5.28979i 0.192007i
\(760\) 53.1081i 1.92643i
\(761\) 12.7103 7.33828i 0.460747 0.266013i −0.251611 0.967828i \(-0.580960\pi\)
0.712358 + 0.701816i \(0.247627\pi\)
\(762\) 83.3461 + 48.1199i 3.01931 + 1.74320i
\(763\) −36.5923 63.3798i −1.32473 2.29450i
\(764\) −23.9047 + 41.4042i −0.864843 + 1.49795i
\(765\) −23.6773 13.6701i −0.856054