Properties

Label 230.4.g.b.71.5
Level $230$
Weight $4$
Character 230.71
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 71.5
Character \(\chi\) \(=\) 230.71
Dual form 230.4.g.b.81.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68251 - 1.08128i) q^{2} +(0.839469 + 5.83864i) q^{3} +(1.66166 + 3.63853i) q^{4} +(-4.79746 - 1.40866i) q^{5} +(4.90080 - 10.7312i) q^{6} +(5.10412 - 5.89047i) q^{7} +(1.13852 - 7.91857i) q^{8} +(-7.47864 + 2.19593i) q^{9} +O(q^{10})\) \(q+(-1.68251 - 1.08128i) q^{2} +(0.839469 + 5.83864i) q^{3} +(1.66166 + 3.63853i) q^{4} +(-4.79746 - 1.40866i) q^{5} +(4.90080 - 10.7312i) q^{6} +(5.10412 - 5.89047i) q^{7} +(1.13852 - 7.91857i) q^{8} +(-7.47864 + 2.19593i) q^{9} +(6.54861 + 7.55750i) q^{10} +(32.9368 - 21.1672i) q^{11} +(-19.8491 + 12.7563i) q^{12} +(4.12196 + 4.75700i) q^{13} +(-14.9570 + 4.39176i) q^{14} +(4.19734 - 29.1932i) q^{15} +(-10.4778 + 12.0920i) q^{16} +(53.3867 - 116.901i) q^{17} +(14.9573 + 4.39185i) q^{18} +(34.0453 + 74.5488i) q^{19} +(-2.84630 - 19.7964i) q^{20} +(38.6771 + 24.8562i) q^{21} -78.3040 q^{22} +(-28.9900 + 106.426i) q^{23} +47.1894 q^{24} +(21.0313 + 13.5160i) q^{25} +(-1.79158 - 12.4607i) q^{26} +(47.0614 + 103.050i) q^{27} +(29.9140 + 8.78353i) q^{28} +(-41.6960 + 91.3016i) q^{29} +(-38.6281 + 44.5792i) q^{30} +(-16.5320 + 114.983i) q^{31} +(30.7038 - 9.01544i) q^{32} +(151.237 + 174.537i) q^{33} +(-216.226 + 138.960i) q^{34} +(-32.7845 + 21.0693i) q^{35} +(-20.4169 - 23.5624i) q^{36} +(149.431 - 43.8768i) q^{37} +(23.3268 - 162.241i) q^{38} +(-24.3141 + 28.0600i) q^{39} +(-16.6166 + 36.3853i) q^{40} +(320.732 + 94.1754i) q^{41} +(-38.1978 - 83.6416i) q^{42} +(-20.3111 - 141.267i) q^{43} +(131.747 + 84.6687i) q^{44} +38.9718 q^{45} +(163.853 - 147.717i) q^{46} +51.3169 q^{47} +(-79.3965 - 51.0250i) q^{48} +(40.1684 + 279.377i) q^{49} +(-20.7708 - 45.4816i) q^{50} +(727.357 + 213.571i) q^{51} +(-10.4592 + 22.9024i) q^{52} +(156.058 - 180.101i) q^{53} +(32.2451 - 224.269i) q^{54} +(-187.830 + 55.1520i) q^{55} +(-40.8330 - 47.1238i) q^{56} +(-406.683 + 261.360i) q^{57} +(168.877 - 108.530i) q^{58} +(163.088 + 188.213i) q^{59} +(113.195 - 33.2370i) q^{60} +(129.077 - 897.750i) q^{61} +(152.144 - 175.583i) q^{62} +(-25.2368 + 55.2610i) q^{63} +(-61.4076 - 18.0309i) q^{64} +(-13.0740 - 28.6280i) q^{65} +(-65.7338 - 457.189i) q^{66} +(-252.176 - 162.064i) q^{67} +514.057 q^{68} +(-645.721 - 79.9201i) q^{69} +77.9421 q^{70} +(915.460 + 588.330i) q^{71} +(8.87403 + 61.7203i) q^{72} +(78.6079 + 172.127i) q^{73} +(-298.861 - 87.7535i) q^{74} +(-61.2600 + 134.141i) q^{75} +(-214.676 + 247.750i) q^{76} +(43.4287 - 302.053i) q^{77} +(71.2494 - 20.9207i) q^{78} +(264.691 + 305.470i) q^{79} +(67.3003 - 43.2513i) q^{80} +(-739.206 + 475.059i) q^{81} +(-437.803 - 505.252i) q^{82} +(271.864 - 79.8266i) q^{83} +(-26.1720 + 182.030i) q^{84} +(-420.795 + 485.623i) q^{85} +(-118.575 + 259.644i) q^{86} +(-568.079 - 166.803i) q^{87} +(-130.115 - 284.911i) q^{88} +(-20.2934 - 141.144i) q^{89} +(-65.5704 - 42.1395i) q^{90} +49.0600 q^{91} +(-435.407 + 71.3638i) q^{92} -685.219 q^{93} +(-86.3411 - 55.4880i) q^{94} +(-58.3170 - 405.604i) q^{95} +(78.4127 + 171.700i) q^{96} +(-1696.01 - 497.995i) q^{97} +(234.502 - 513.488i) q^{98} +(-199.841 + 230.628i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.68251 1.08128i −0.594856 0.382291i
\(3\) 0.839469 + 5.83864i 0.161556 + 1.12365i 0.895702 + 0.444655i \(0.146674\pi\)
−0.734146 + 0.678991i \(0.762417\pi\)
\(4\) 1.66166 + 3.63853i 0.207708 + 0.454816i
\(5\) −4.79746 1.40866i −0.429098 0.125995i
\(6\) 4.90080 10.7312i 0.333457 0.730169i
\(7\) 5.10412 5.89047i 0.275597 0.318055i −0.601030 0.799226i \(-0.705243\pi\)
0.876627 + 0.481171i \(0.159788\pi\)
\(8\) 1.13852 7.91857i 0.0503159 0.349955i
\(9\) −7.47864 + 2.19593i −0.276987 + 0.0813306i
\(10\) 6.54861 + 7.55750i 0.207085 + 0.238989i
\(11\) 32.9368 21.1672i 0.902801 0.580195i −0.00481864 0.999988i \(-0.501534\pi\)
0.907620 + 0.419793i \(0.137897\pi\)
\(12\) −19.8491 + 12.7563i −0.477496 + 0.306868i
\(13\) 4.12196 + 4.75700i 0.0879405 + 0.101489i 0.798014 0.602639i \(-0.205884\pi\)
−0.710074 + 0.704127i \(0.751338\pi\)
\(14\) −14.9570 + 4.39176i −0.285530 + 0.0838392i
\(15\) 4.19734 29.1932i 0.0722500 0.502510i
\(16\) −10.4778 + 12.0920i −0.163715 + 0.188937i
\(17\) 53.3867 116.901i 0.761658 1.66780i 0.0174523 0.999848i \(-0.494444\pi\)
0.744206 0.667951i \(-0.232828\pi\)
\(18\) 14.9573 + 4.39185i 0.195859 + 0.0575094i
\(19\) 34.0453 + 74.5488i 0.411081 + 0.900141i 0.996026 + 0.0890678i \(0.0283888\pi\)
−0.584945 + 0.811073i \(0.698884\pi\)
\(20\) −2.84630 19.7964i −0.0318226 0.221331i
\(21\) 38.6771 + 24.8562i 0.401906 + 0.258289i
\(22\) −78.3040 −0.758840
\(23\) −28.9900 + 106.426i −0.262818 + 0.964845i
\(24\) 47.1894 0.401354
\(25\) 21.0313 + 13.5160i 0.168251 + 0.108128i
\(26\) −1.79158 12.4607i −0.0135137 0.0939901i
\(27\) 47.0614 + 103.050i 0.335444 + 0.734519i
\(28\) 29.9140 + 8.78353i 0.201900 + 0.0592833i
\(29\) −41.6960 + 91.3016i −0.266992 + 0.584630i −0.994880 0.101066i \(-0.967775\pi\)
0.727888 + 0.685696i \(0.240502\pi\)
\(30\) −38.6281 + 44.5792i −0.235083 + 0.271300i
\(31\) −16.5320 + 114.983i −0.0957817 + 0.666176i 0.884203 + 0.467103i \(0.154702\pi\)
−0.979985 + 0.199073i \(0.936207\pi\)
\(32\) 30.7038 9.01544i 0.169616 0.0498038i
\(33\) 151.237 + 174.537i 0.797787 + 0.920695i
\(34\) −216.226 + 138.960i −1.09066 + 0.700925i
\(35\) −32.7845 + 21.0693i −0.158331 + 0.101753i
\(36\) −20.4169 23.5624i −0.0945227 0.109085i
\(37\) 149.431 43.8768i 0.663952 0.194954i 0.0676440 0.997710i \(-0.478452\pi\)
0.596308 + 0.802756i \(0.296634\pi\)
\(38\) 23.3268 162.241i 0.0995818 0.692606i
\(39\) −24.3141 + 28.0600i −0.0998301 + 0.115210i
\(40\) −16.6166 + 36.3853i −0.0656829 + 0.143825i
\(41\) 320.732 + 94.1754i 1.22170 + 0.358725i 0.828113 0.560561i \(-0.189414\pi\)
0.393591 + 0.919285i \(0.371232\pi\)
\(42\) −38.1978 83.6416i −0.140335 0.307290i
\(43\) −20.3111 141.267i −0.0720328 0.500999i −0.993616 0.112818i \(-0.964012\pi\)
0.921583 0.388182i \(-0.126897\pi\)
\(44\) 131.747 + 84.6687i 0.451401 + 0.290098i
\(45\) 38.9718 0.129102
\(46\) 163.853 147.717i 0.525191 0.473471i
\(47\) 51.3169 0.159263 0.0796313 0.996824i \(-0.474626\pi\)
0.0796313 + 0.996824i \(0.474626\pi\)
\(48\) −79.3965 51.0250i −0.238748 0.153434i
\(49\) 40.1684 + 279.377i 0.117109 + 0.814511i
\(50\) −20.7708 45.4816i −0.0587486 0.128641i
\(51\) 727.357 + 213.571i 1.99706 + 0.586391i
\(52\) −10.4592 + 22.9024i −0.0278928 + 0.0610767i
\(53\) 156.058 180.101i 0.404457 0.466768i −0.516583 0.856237i \(-0.672796\pi\)
0.921039 + 0.389469i \(0.127342\pi\)
\(54\) 32.2451 224.269i 0.0812592 0.565170i
\(55\) −187.830 + 55.1520i −0.460492 + 0.135213i
\(56\) −40.8330 47.1238i −0.0974381 0.112450i
\(57\) −406.683 + 261.360i −0.945027 + 0.607332i
\(58\) 168.877 108.530i 0.382321 0.245702i
\(59\) 163.088 + 188.213i 0.359868 + 0.415310i 0.906595 0.422001i \(-0.138672\pi\)
−0.546728 + 0.837311i \(0.684127\pi\)
\(60\) 113.195 33.2370i 0.243556 0.0715146i
\(61\) 129.077 897.750i 0.270928 1.88435i −0.167943 0.985797i \(-0.553712\pi\)
0.438871 0.898550i \(-0.355378\pi\)
\(62\) 152.144 175.583i 0.311649 0.359663i
\(63\) −25.2368 + 55.2610i −0.0504690 + 0.110512i
\(64\) −61.4076 18.0309i −0.119937 0.0352166i
\(65\) −13.0740 28.6280i −0.0249481 0.0546287i
\(66\) −65.7338 457.189i −0.122595 0.852667i
\(67\) −252.176 162.064i −0.459824 0.295511i 0.290147 0.956982i \(-0.406296\pi\)
−0.749970 + 0.661472i \(0.769932\pi\)
\(68\) 514.057 0.916743
\(69\) −645.721 79.9201i −1.12660 0.139438i
\(70\) 77.9421 0.133084
\(71\) 915.460 + 588.330i 1.53021 + 0.983408i 0.989872 + 0.141962i \(0.0453410\pi\)
0.540341 + 0.841446i \(0.318295\pi\)
\(72\) 8.87403 + 61.7203i 0.0145252 + 0.101025i
\(73\) 78.6079 + 172.127i 0.126032 + 0.275972i 0.962121 0.272621i \(-0.0878907\pi\)
−0.836089 + 0.548594i \(0.815163\pi\)
\(74\) −298.861 87.7535i −0.469485 0.137853i
\(75\) −61.2600 + 134.141i −0.0943159 + 0.206523i
\(76\) −214.676 + 247.750i −0.324014 + 0.373932i
\(77\) 43.4287 302.053i 0.0642747 0.447041i
\(78\) 71.2494 20.9207i 0.103428 0.0303693i
\(79\) 264.691 + 305.470i 0.376963 + 0.435038i 0.912251 0.409631i \(-0.134343\pi\)
−0.535289 + 0.844669i \(0.679797\pi\)
\(80\) 67.3003 43.2513i 0.0940550 0.0604455i
\(81\) −739.206 + 475.059i −1.01400 + 0.651658i
\(82\) −437.803 505.252i −0.589601 0.680436i
\(83\) 271.864 79.8266i 0.359530 0.105568i −0.0969787 0.995286i \(-0.530918\pi\)
0.456509 + 0.889719i \(0.349100\pi\)
\(84\) −26.1720 + 182.030i −0.0339952 + 0.236442i
\(85\) −420.795 + 485.623i −0.536960 + 0.619685i
\(86\) −118.575 + 259.644i −0.148678 + 0.325560i
\(87\) −568.079 166.803i −0.700052 0.205554i
\(88\) −130.115 284.911i −0.157617 0.345133i
\(89\) −20.2934 141.144i −0.0241696 0.168103i 0.974162 0.225853i \(-0.0725167\pi\)
−0.998331 + 0.0577491i \(0.981608\pi\)
\(90\) −65.5704 42.1395i −0.0767970 0.0493544i
\(91\) 49.0600 0.0565152
\(92\) −435.407 + 71.3638i −0.493416 + 0.0808716i
\(93\) −685.219 −0.764021
\(94\) −86.3411 55.4880i −0.0947383 0.0608846i
\(95\) −58.3170 405.604i −0.0629810 0.438043i
\(96\) 78.4127 + 171.700i 0.0833642 + 0.182542i
\(97\) −1696.01 497.995i −1.77530 0.521275i −0.780687 0.624922i \(-0.785131\pi\)
−0.994614 + 0.103647i \(0.966949\pi\)
\(98\) 234.502 513.488i 0.241717 0.529287i
\(99\) −199.841 + 230.628i −0.202876 + 0.234132i
\(100\) −14.2315 + 98.9821i −0.0142315 + 0.0989821i
\(101\) −494.827 + 145.294i −0.487496 + 0.143142i −0.516238 0.856445i \(-0.672668\pi\)
0.0287421 + 0.999587i \(0.490850\pi\)
\(102\) −992.852 1145.81i −0.963794 1.11228i
\(103\) −178.556 + 114.751i −0.170813 + 0.109775i −0.623254 0.782020i \(-0.714190\pi\)
0.452441 + 0.891794i \(0.350553\pi\)
\(104\) 42.3616 27.2241i 0.0399413 0.0256687i
\(105\) −150.538 173.730i −0.139914 0.161469i
\(106\) −457.308 + 134.278i −0.419035 + 0.123040i
\(107\) 211.215 1469.03i 0.190831 1.32726i −0.638983 0.769221i \(-0.720644\pi\)
0.829814 0.558040i \(-0.188446\pi\)
\(108\) −296.751 + 342.469i −0.264397 + 0.305130i
\(109\) −567.086 + 1241.74i −0.498321 + 1.09117i 0.478691 + 0.877983i \(0.341111\pi\)
−0.977012 + 0.213186i \(0.931616\pi\)
\(110\) 375.661 + 110.304i 0.325617 + 0.0956098i
\(111\) 381.623 + 835.637i 0.326325 + 0.714551i
\(112\) 17.7477 + 123.438i 0.0149732 + 0.104141i
\(113\) −550.091 353.522i −0.457949 0.294306i 0.291255 0.956645i \(-0.405927\pi\)
−0.749204 + 0.662340i \(0.769564\pi\)
\(114\) 966.851 0.794332
\(115\) 288.997 469.740i 0.234340 0.380900i
\(116\) −401.488 −0.321355
\(117\) −41.2727 26.5244i −0.0326125 0.0209588i
\(118\) −70.8847 493.014i −0.0553005 0.384624i
\(119\) −416.107 911.148i −0.320542 0.701889i
\(120\) −226.389 66.4740i −0.172220 0.0505684i
\(121\) 83.8643 183.637i 0.0630085 0.137969i
\(122\) −1187.89 + 1370.90i −0.881532 + 1.01734i
\(123\) −280.611 + 1951.69i −0.205706 + 1.43072i
\(124\) −445.838 + 130.910i −0.322882 + 0.0948068i
\(125\) −81.8576 94.4687i −0.0585725 0.0675963i
\(126\) 102.214 65.6889i 0.0722693 0.0464447i
\(127\) −1196.62 + 769.021i −0.836086 + 0.537320i −0.887206 0.461373i \(-0.847357\pi\)
0.0511206 + 0.998692i \(0.483721\pi\)
\(128\) 83.8222 + 96.7359i 0.0578821 + 0.0667995i
\(129\) 807.754 237.178i 0.551308 0.161879i
\(130\) −8.95788 + 62.3034i −0.00604352 + 0.0420336i
\(131\) 1766.13 2038.23i 1.17792 1.35940i 0.258555 0.965997i \(-0.416754\pi\)
0.919368 0.393399i \(-0.128701\pi\)
\(132\) −383.752 + 840.300i −0.253040 + 0.554081i
\(133\) 612.899 + 179.963i 0.399587 + 0.117329i
\(134\) 249.051 + 545.346i 0.160558 + 0.351573i
\(135\) −80.6127 560.673i −0.0513928 0.357445i
\(136\) −864.904 555.840i −0.545330 0.350463i
\(137\) 1535.03 0.957272 0.478636 0.878013i \(-0.341131\pi\)
0.478636 + 0.878013i \(0.341131\pi\)
\(138\) 1000.01 + 832.673i 0.616861 + 0.513636i
\(139\) 1919.04 1.17101 0.585506 0.810668i \(-0.300896\pi\)
0.585506 + 0.810668i \(0.300896\pi\)
\(140\) −131.138 84.2774i −0.0791657 0.0508767i
\(141\) 43.0790 + 299.621i 0.0257298 + 0.178955i
\(142\) −904.117 1979.74i −0.534309 1.16997i
\(143\) 236.456 + 69.4299i 0.138276 + 0.0406015i
\(144\) 51.8064 113.440i 0.0299805 0.0656482i
\(145\) 328.649 379.281i 0.188226 0.217224i
\(146\) 53.8597 374.603i 0.0305306 0.212345i
\(147\) −1597.46 + 469.057i −0.896303 + 0.263178i
\(148\) 407.950 + 470.799i 0.226576 + 0.261483i
\(149\) 1581.89 1016.62i 0.869756 0.558958i −0.0279222 0.999610i \(-0.508889\pi\)
0.897678 + 0.440652i \(0.145253\pi\)
\(150\) 248.114 159.453i 0.135056 0.0867953i
\(151\) −583.866 673.817i −0.314665 0.363142i 0.576282 0.817251i \(-0.304503\pi\)
−0.890946 + 0.454109i \(0.849958\pi\)
\(152\) 629.081 184.715i 0.335692 0.0985682i
\(153\) −142.555 + 991.491i −0.0753260 + 0.523904i
\(154\) −399.673 + 461.248i −0.209134 + 0.241353i
\(155\) 241.283 528.337i 0.125034 0.273787i
\(156\) −142.499 41.8414i −0.0731349 0.0214743i
\(157\) 174.232 + 381.514i 0.0885682 + 0.193937i 0.948733 0.316079i \(-0.102367\pi\)
−0.860165 + 0.510017i \(0.829639\pi\)
\(158\) −115.046 800.160i −0.0579275 0.402894i
\(159\) 1182.55 + 759.977i 0.589825 + 0.379057i
\(160\) −160.000 −0.0790569
\(161\) 478.933 + 713.978i 0.234442 + 0.349499i
\(162\) 1757.39 0.852307
\(163\) −1306.05 839.350i −0.627595 0.403331i 0.187823 0.982203i \(-0.439857\pi\)
−0.815419 + 0.578872i \(0.803493\pi\)
\(164\) 190.288 + 1323.48i 0.0906034 + 0.630161i
\(165\) −479.690 1050.38i −0.226326 0.495585i
\(166\) −543.729 159.653i −0.254226 0.0746475i
\(167\) 678.789 1486.34i 0.314529 0.688722i −0.684666 0.728857i \(-0.740052\pi\)
0.999194 + 0.0401357i \(0.0127790\pi\)
\(168\) 240.860 277.968i 0.110612 0.127653i
\(169\) 307.027 2135.42i 0.139748 0.971971i
\(170\) 1233.08 362.066i 0.556313 0.163348i
\(171\) −418.316 482.763i −0.187073 0.215894i
\(172\) 480.252 308.640i 0.212901 0.136823i
\(173\) −2334.01 + 1499.98i −1.02573 + 0.659197i −0.941418 0.337242i \(-0.890506\pi\)
−0.0843128 + 0.996439i \(0.526870\pi\)
\(174\) 775.436 + 894.901i 0.337849 + 0.389898i
\(175\) 186.962 54.8971i 0.0807601 0.0237133i
\(176\) −89.1506 + 620.056i −0.0381817 + 0.265560i
\(177\) −962.001 + 1110.21i −0.408522 + 0.471460i
\(178\) −118.472 + 259.418i −0.0498869 + 0.109237i
\(179\) 1923.25 + 564.718i 0.803077 + 0.235805i 0.657414 0.753530i \(-0.271650\pi\)
0.145663 + 0.989334i \(0.453469\pi\)
\(180\) 64.7579 + 141.800i 0.0268154 + 0.0587175i
\(181\) 571.203 + 3972.81i 0.234570 + 1.63147i 0.677929 + 0.735127i \(0.262878\pi\)
−0.443359 + 0.896344i \(0.646213\pi\)
\(182\) −82.5437 53.0476i −0.0336184 0.0216052i
\(183\) 5349.99 2.16111
\(184\) 809.740 + 350.728i 0.324428 + 0.140522i
\(185\) −778.695 −0.309464
\(186\) 1152.89 + 740.915i 0.454482 + 0.292078i
\(187\) −716.070 4980.38i −0.280023 1.94760i
\(188\) 85.2713 + 186.718i 0.0330800 + 0.0724352i
\(189\) 847.221 + 248.767i 0.326065 + 0.0957413i
\(190\) −340.453 + 745.488i −0.129995 + 0.284649i
\(191\) −1703.91 + 1966.42i −0.645500 + 0.744947i −0.980337 0.197329i \(-0.936773\pi\)
0.334837 + 0.942276i \(0.391319\pi\)
\(192\) 53.7260 373.673i 0.0201945 0.140456i
\(193\) 1194.70 350.796i 0.445578 0.130834i −0.0512436 0.998686i \(-0.516318\pi\)
0.496822 + 0.867853i \(0.334500\pi\)
\(194\) 2315.08 + 2671.75i 0.856770 + 0.988765i
\(195\) 156.173 100.366i 0.0573528 0.0368584i
\(196\) −949.776 + 610.384i −0.346128 + 0.222443i
\(197\) −2285.68 2637.81i −0.826638 0.953991i 0.172883 0.984942i \(-0.444692\pi\)
−0.999521 + 0.0309510i \(0.990146\pi\)
\(198\) 585.608 171.950i 0.210189 0.0617169i
\(199\) 533.764 3712.41i 0.190138 1.32244i −0.641500 0.767123i \(-0.721687\pi\)
0.831638 0.555318i \(-0.187403\pi\)
\(200\) 130.972 151.150i 0.0463056 0.0534396i
\(201\) 734.536 1608.41i 0.257762 0.564420i
\(202\) 989.653 + 290.588i 0.344712 + 0.101216i
\(203\) 324.988 + 711.624i 0.112363 + 0.246040i
\(204\) 431.535 + 3001.39i 0.148105 + 1.03009i
\(205\) −1406.04 903.606i −0.479034 0.307856i
\(206\) 424.501 0.143575
\(207\) −16.8992 859.585i −0.00567427 0.288624i
\(208\) −100.711 −0.0335722
\(209\) 2699.33 + 1734.75i 0.893381 + 0.574141i
\(210\) 65.4300 + 455.075i 0.0215005 + 0.149539i
\(211\) 382.972 + 838.591i 0.124952 + 0.273607i 0.961762 0.273887i \(-0.0883094\pi\)
−0.836810 + 0.547493i \(0.815582\pi\)
\(212\) 914.616 + 268.556i 0.296302 + 0.0870022i
\(213\) −2666.55 + 5838.92i −0.857788 + 1.87829i
\(214\) −1943.81 + 2243.28i −0.620917 + 0.716576i
\(215\) −101.555 + 706.333i −0.0322140 + 0.224054i
\(216\) 869.591 255.335i 0.273927 0.0804321i
\(217\) 592.920 + 684.266i 0.185484 + 0.214060i
\(218\) 2296.80 1476.06i 0.713573 0.458586i
\(219\) −939.000 + 603.458i −0.289734 + 0.186201i
\(220\) −512.782 591.782i −0.157144 0.181354i
\(221\) 776.154 227.899i 0.236243 0.0693673i
\(222\) 261.476 1818.61i 0.0790502 0.549806i
\(223\) −2713.64 + 3131.71i −0.814883 + 0.940425i −0.999098 0.0424607i \(-0.986480\pi\)
0.184215 + 0.982886i \(0.441026\pi\)
\(224\) 103.611 226.876i 0.0309052 0.0676730i
\(225\) −186.966 54.8982i −0.0553973 0.0162661i
\(226\) 543.275 + 1189.61i 0.159903 + 0.350139i
\(227\) −217.317 1511.47i −0.0635410 0.441937i −0.996612 0.0822455i \(-0.973791\pi\)
0.933071 0.359692i \(-0.117118\pi\)
\(228\) −1626.73 1045.44i −0.472513 0.303666i
\(229\) −1560.03 −0.450173 −0.225086 0.974339i \(-0.572266\pi\)
−0.225086 + 0.974339i \(0.572266\pi\)
\(230\) −994.161 + 477.853i −0.285013 + 0.136994i
\(231\) 1800.03 0.512699
\(232\) 675.507 + 434.122i 0.191160 + 0.122851i
\(233\) −377.702 2626.98i −0.106198 0.738622i −0.971443 0.237273i \(-0.923746\pi\)
0.865245 0.501349i \(-0.167163\pi\)
\(234\) 40.7613 + 89.2548i 0.0113874 + 0.0249349i
\(235\) −246.191 72.2882i −0.0683393 0.0200662i
\(236\) −413.823 + 906.145i −0.114142 + 0.249937i
\(237\) −1561.33 + 1801.87i −0.427928 + 0.493855i
\(238\) −285.104 + 1982.94i −0.0776494 + 0.540063i
\(239\) 2307.60 677.572i 0.624544 0.183383i 0.0458777 0.998947i \(-0.485392\pi\)
0.578666 + 0.815564i \(0.303573\pi\)
\(240\) 309.025 + 356.634i 0.0831145 + 0.0959192i
\(241\) −5113.34 + 3286.14i −1.36672 + 0.878336i −0.998674 0.0514728i \(-0.983608\pi\)
−0.368043 + 0.929809i \(0.619972\pi\)
\(242\) −339.666 + 218.290i −0.0902254 + 0.0579843i
\(243\) −1391.17 1605.49i −0.367257 0.423837i
\(244\) 3480.97 1022.11i 0.913305 0.268171i
\(245\) 200.842 1396.89i 0.0523728 0.364261i
\(246\) 2582.46 2980.32i 0.669316 0.772431i
\(247\) −214.295 + 469.241i −0.0552035 + 0.120879i
\(248\) 891.675 + 261.820i 0.228312 + 0.0670385i
\(249\) 694.300 + 1520.30i 0.176705 + 0.386929i
\(250\) 35.5787 + 247.455i 0.00900078 + 0.0626018i
\(251\) −3453.54 2219.45i −0.868468 0.558130i 0.0288160 0.999585i \(-0.490826\pi\)
−0.897284 + 0.441454i \(0.854463\pi\)
\(252\) −243.004 −0.0607452
\(253\) 1297.91 + 4118.98i 0.322526 + 1.02355i
\(254\) 2844.85 0.702763
\(255\) −3188.62 2049.20i −0.783055 0.503239i
\(256\) −36.4326 253.394i −0.00889468 0.0618638i
\(257\) 1699.21 + 3720.75i 0.412427 + 0.903089i 0.995858 + 0.0909262i \(0.0289827\pi\)
−0.583431 + 0.812163i \(0.698290\pi\)
\(258\) −1615.51 474.356i −0.389834 0.114466i
\(259\) 504.257 1104.17i 0.120977 0.264902i
\(260\) 82.4393 95.1400i 0.0196641 0.0226936i
\(261\) 111.338 774.373i 0.0264048 0.183649i
\(262\) −5175.43 + 1519.64i −1.22038 + 0.358336i
\(263\) 2272.66 + 2622.79i 0.532846 + 0.614937i 0.956800 0.290747i \(-0.0939037\pi\)
−0.423954 + 0.905684i \(0.639358\pi\)
\(264\) 1554.27 998.867i 0.362343 0.232864i
\(265\) −1002.38 + 644.193i −0.232362 + 0.149330i
\(266\) −836.616 965.506i −0.192843 0.222553i
\(267\) 807.051 236.971i 0.184984 0.0543162i
\(268\) 170.642 1186.84i 0.0388942 0.270515i
\(269\) −3177.92 + 3667.51i −0.720301 + 0.831272i −0.991343 0.131296i \(-0.958086\pi\)
0.271042 + 0.962567i \(0.412632\pi\)
\(270\) −470.614 + 1030.50i −0.106077 + 0.232275i
\(271\) −4476.38 1314.38i −1.00340 0.294624i −0.261547 0.965191i \(-0.584233\pi\)
−0.741849 + 0.670567i \(0.766051\pi\)
\(272\) 854.188 + 1870.41i 0.190414 + 0.416950i
\(273\) 41.1843 + 286.443i 0.00913036 + 0.0635030i
\(274\) −2582.70 1659.80i −0.569439 0.365956i
\(275\) 978.801 0.214632
\(276\) −782.178 2482.27i −0.170585 0.541360i
\(277\) 1501.59 0.325711 0.162855 0.986650i \(-0.447930\pi\)
0.162855 + 0.986650i \(0.447930\pi\)
\(278\) −3228.79 2075.02i −0.696583 0.447667i
\(279\) −128.856 896.216i −0.0276503 0.192312i
\(280\) 129.513 + 283.594i 0.0276425 + 0.0605286i
\(281\) 2786.95 + 818.321i 0.591656 + 0.173726i 0.563835 0.825887i \(-0.309325\pi\)
0.0278202 + 0.999613i \(0.491143\pi\)
\(282\) 251.494 550.695i 0.0531072 0.116289i
\(283\) 3887.76 4486.72i 0.816620 0.942430i −0.182549 0.983197i \(-0.558435\pi\)
0.999169 + 0.0407672i \(0.0129802\pi\)
\(284\) −619.473 + 4308.53i −0.129433 + 0.900227i
\(285\) 2319.22 680.984i 0.482030 0.141537i
\(286\) −322.766 372.492i −0.0667328 0.0770137i
\(287\) 2191.79 1408.58i 0.450792 0.289707i
\(288\) −209.825 + 134.846i −0.0429308 + 0.0275900i
\(289\) −7598.29 8768.89i −1.54657 1.78483i
\(290\) −963.063 + 282.781i −0.195010 + 0.0572602i
\(291\) 1483.86 10320.5i 0.298919 2.07902i
\(292\) −495.670 + 572.034i −0.0993388 + 0.114643i
\(293\) 2367.93 5185.05i 0.472137 1.03384i −0.512414 0.858738i \(-0.671249\pi\)
0.984551 0.175097i \(-0.0560239\pi\)
\(294\) 3194.93 + 938.115i 0.633782 + 0.186095i
\(295\) −517.278 1132.68i −0.102092 0.223550i
\(296\) −177.312 1233.23i −0.0348177 0.242163i
\(297\) 3731.33 + 2397.98i 0.729003 + 0.468502i
\(298\) −3760.80 −0.731064
\(299\) −625.766 + 300.781i −0.121033 + 0.0581759i
\(300\) −589.868 −0.113520
\(301\) −935.797 601.400i −0.179197 0.115163i
\(302\) 253.772 + 1765.03i 0.0483542 + 0.336311i
\(303\) −1263.71 2767.14i −0.239598 0.524647i
\(304\) −1258.16 369.430i −0.237370 0.0696982i
\(305\) −1883.87 + 4125.10i −0.353672 + 0.774435i
\(306\) 1311.93 1514.05i 0.245092 0.282851i
\(307\) 948.847 6599.37i 0.176396 1.22686i −0.688622 0.725120i \(-0.741784\pi\)
0.865018 0.501740i \(-0.167307\pi\)
\(308\) 1171.19 343.893i 0.216672 0.0636205i
\(309\) −819.883 946.196i −0.150943 0.174198i
\(310\) −977.241 + 628.035i −0.179044 + 0.115064i
\(311\) −7593.85 + 4880.27i −1.38459 + 0.889823i −0.999454 0.0330368i \(-0.989482\pi\)
−0.385137 + 0.922859i \(0.625846\pi\)
\(312\) 194.513 + 224.480i 0.0352953 + 0.0407329i
\(313\) 2400.76 704.926i 0.433543 0.127300i −0.0576771 0.998335i \(-0.518369\pi\)
0.491220 + 0.871036i \(0.336551\pi\)
\(314\) 119.378 830.294i 0.0214551 0.149224i
\(315\) 198.917 229.562i 0.0355800 0.0410615i
\(316\) −671.633 + 1470.67i −0.119564 + 0.261809i
\(317\) −2149.14 631.045i −0.380782 0.111808i 0.0857394 0.996318i \(-0.472675\pi\)
−0.466521 + 0.884510i \(0.654493\pi\)
\(318\) −1167.90 2557.33i −0.205951 0.450969i
\(319\) 559.264 + 3889.77i 0.0981592 + 0.682712i
\(320\) 269.201 + 173.005i 0.0470275 + 0.0302227i
\(321\) 8754.47 1.52220
\(322\) −33.7977 1719.13i −0.00584929 0.297527i
\(323\) 10532.4 1.81436
\(324\) −2956.82 1900.24i −0.507000 0.325829i
\(325\) 22.3947 + 155.759i 0.00382226 + 0.0265844i
\(326\) 1289.87 + 2824.42i 0.219139 + 0.479848i
\(327\) −7726.14 2268.60i −1.30660 0.383651i
\(328\) 1110.89 2432.52i 0.187009 0.409492i
\(329\) 261.928 302.281i 0.0438922 0.0506543i
\(330\) −328.669 + 2285.94i −0.0548262 + 0.381324i
\(331\) −5375.86 + 1578.49i −0.892700 + 0.262120i −0.695742 0.718292i \(-0.744924\pi\)
−0.196958 + 0.980412i \(0.563106\pi\)
\(332\) 742.197 + 856.542i 0.122691 + 0.141593i
\(333\) −1021.19 + 656.277i −0.168050 + 0.107999i
\(334\) −2749.22 + 1766.82i −0.450391 + 0.289449i
\(335\) 981.512 + 1132.72i 0.160077 + 0.184738i
\(336\) −705.811 + 207.245i −0.114599 + 0.0336492i
\(337\) −1245.84 + 8665.03i −0.201381 + 1.40064i 0.598810 + 0.800891i \(0.295640\pi\)
−0.800191 + 0.599745i \(0.795269\pi\)
\(338\) −2825.57 + 3260.88i −0.454706 + 0.524759i
\(339\) 1602.30 3508.55i 0.256711 0.562119i
\(340\) −2466.17 724.133i −0.393373 0.115505i
\(341\) 1889.35 + 4137.09i 0.300040 + 0.656997i
\(342\) 181.818 + 1264.57i 0.0287473 + 0.199942i
\(343\) 4099.71 + 2634.72i 0.645374 + 0.414757i
\(344\) −1141.75 −0.178951
\(345\) 2985.24 + 1293.02i 0.465855 + 0.201779i
\(346\) 5548.88 0.862167
\(347\) 604.649 + 388.584i 0.0935426 + 0.0601162i 0.586576 0.809894i \(-0.300476\pi\)
−0.493033 + 0.870010i \(0.664112\pi\)
\(348\) −337.037 2344.14i −0.0519169 0.361090i
\(349\) 209.733 + 459.252i 0.0321684 + 0.0704389i 0.925034 0.379884i \(-0.124036\pi\)
−0.892866 + 0.450323i \(0.851309\pi\)
\(350\) −373.924 109.794i −0.0571060 0.0167678i
\(351\) −296.224 + 648.640i −0.0450464 + 0.0986378i
\(352\) 820.452 946.852i 0.124234 0.143373i
\(353\) −572.655 + 3982.90i −0.0863437 + 0.600534i 0.900007 + 0.435875i \(0.143561\pi\)
−0.986351 + 0.164658i \(0.947348\pi\)
\(354\) 2819.02 827.739i 0.423247 0.124276i
\(355\) −3563.13 4112.07i −0.532708 0.614777i
\(356\) 479.835 308.371i 0.0714359 0.0459091i
\(357\) 4970.55 3194.38i 0.736889 0.473570i
\(358\) −2625.27 3029.72i −0.387569 0.447279i
\(359\) 2127.40 624.661i 0.312757 0.0918339i −0.121587 0.992581i \(-0.538798\pi\)
0.434344 + 0.900747i \(0.356980\pi\)
\(360\) 44.3702 308.601i 0.00649587 0.0451798i
\(361\) 93.2450 107.610i 0.0135945 0.0156889i
\(362\) 3334.67 7301.91i 0.484161 1.06016i
\(363\) 1142.59 + 335.495i 0.165208 + 0.0485095i
\(364\) 81.5210 + 178.506i 0.0117386 + 0.0257040i
\(365\) −134.649 936.507i −0.0193092 0.134299i
\(366\) −9001.40 5784.85i −1.28555 0.826172i
\(367\) 2674.51 0.380404 0.190202 0.981745i \(-0.439086\pi\)
0.190202 + 0.981745i \(0.439086\pi\)
\(368\) −983.157 1465.66i −0.139268 0.207616i
\(369\) −2605.44 −0.367571
\(370\) 1310.16 + 841.989i 0.184087 + 0.118305i
\(371\) −264.338 1838.51i −0.0369912 0.257280i
\(372\) −1138.60 2493.19i −0.158693 0.347489i
\(373\) −12896.2 3786.67i −1.79019 0.525647i −0.793619 0.608415i \(-0.791806\pi\)
−0.996569 + 0.0827678i \(0.973624\pi\)
\(374\) −4180.40 + 9153.79i −0.577976 + 1.26559i
\(375\) 482.851 557.240i 0.0664916 0.0767354i
\(376\) 58.4253 406.357i 0.00801344 0.0557347i
\(377\) −606.191 + 177.994i −0.0828128 + 0.0243160i
\(378\) −1156.47 1334.64i −0.157361 0.181604i
\(379\) −7311.35 + 4698.72i −0.990920 + 0.636826i −0.932388 0.361460i \(-0.882279\pi\)
−0.0585326 + 0.998285i \(0.518642\pi\)
\(380\) 1378.90 886.164i 0.186147 0.119630i
\(381\) −5494.56 6341.06i −0.738832 0.852657i
\(382\) 4993.09 1466.10i 0.668766 0.196367i
\(383\) −545.283 + 3792.53i −0.0727485 + 0.505977i 0.920571 + 0.390576i \(0.127724\pi\)
−0.993319 + 0.115401i \(0.963185\pi\)
\(384\) −494.440 + 570.614i −0.0657077 + 0.0758308i
\(385\) −633.838 + 1387.91i −0.0839049 + 0.183726i
\(386\) −2389.41 701.593i −0.315071 0.0925133i
\(387\) 462.110 + 1011.88i 0.0606987 + 0.132912i
\(388\) −1006.23 6998.50i −0.131659 0.915708i
\(389\) −7591.97 4879.06i −0.989533 0.635934i −0.0575144 0.998345i \(-0.518317\pi\)
−0.932019 + 0.362410i \(0.881954\pi\)
\(390\) −371.287 −0.0482073
\(391\) 10893.6 + 9070.70i 1.40899 + 1.17321i
\(392\) 2258.00 0.290935
\(393\) 13383.1 + 8600.78i 1.71778 + 1.10395i
\(394\) 993.450 + 6909.60i 0.127029 + 0.883504i
\(395\) −839.542 1838.34i −0.106942 0.234169i
\(396\) −1171.22 343.900i −0.148626 0.0436405i
\(397\) −4652.15 + 10186.8i −0.588122 + 1.28781i 0.348448 + 0.937328i \(0.386709\pi\)
−0.936570 + 0.350480i \(0.886018\pi\)
\(398\) −4912.22 + 5669.01i −0.618662 + 0.713974i
\(399\) −536.231 + 3729.57i −0.0672810 + 0.467950i
\(400\) −383.797 + 112.693i −0.0479746 + 0.0140866i
\(401\) −3120.44 3601.18i −0.388596 0.448464i 0.527420 0.849605i \(-0.323159\pi\)
−0.916017 + 0.401140i \(0.868614\pi\)
\(402\) −2975.01 + 1911.92i −0.369104 + 0.237209i
\(403\) −615.116 + 395.311i −0.0760325 + 0.0488631i
\(404\) −1350.89 1559.01i −0.166360 0.191989i
\(405\) 4215.51 1237.79i 0.517211 0.151867i
\(406\) 222.672 1548.72i 0.0272192 0.189314i
\(407\) 3993.01 4608.18i 0.486305 0.561226i
\(408\) 2519.29 5516.47i 0.305694 0.669377i
\(409\) −8103.58 2379.43i −0.979697 0.287665i −0.247598 0.968863i \(-0.579641\pi\)
−0.732099 + 0.681198i \(0.761459\pi\)
\(410\) 1388.62 + 3040.65i 0.167266 + 0.366261i
\(411\) 1288.61 + 8962.47i 0.154653 + 1.07563i
\(412\) −714.226 459.005i −0.0854063 0.0548873i
\(413\) 1941.08 0.231270
\(414\) −901.020 + 1464.53i −0.106963 + 0.173859i
\(415\) −1416.71 −0.167575
\(416\) 169.446 + 108.897i 0.0199706 + 0.0128344i
\(417\) 1610.97 + 11204.6i 0.189184 + 1.31580i
\(418\) −2665.89 5837.47i −0.311944 0.683063i
\(419\) −8195.01 2406.27i −0.955495 0.280559i −0.233422 0.972375i \(-0.574992\pi\)
−0.722073 + 0.691817i \(0.756811\pi\)
\(420\) 381.978 836.416i 0.0443777 0.0971736i
\(421\) −1046.05 + 1207.21i −0.121096 + 0.139753i −0.813060 0.582179i \(-0.802200\pi\)
0.691964 + 0.721932i \(0.256746\pi\)
\(422\) 262.400 1825.04i 0.0302689 0.210524i
\(423\) −383.781 + 112.688i −0.0441136 + 0.0129529i
\(424\) −1248.46 1440.80i −0.142997 0.165027i
\(425\) 2702.83 1737.00i 0.308485 0.198252i
\(426\) 10800.0 6940.74i 1.22831 0.789390i
\(427\) −4629.35 5342.55i −0.524660 0.605490i
\(428\) 5696.09 1672.52i 0.643297 0.188889i
\(429\) −206.878 + 1438.87i −0.0232824 + 0.161933i
\(430\) 934.613 1078.60i 0.104816 0.120965i
\(431\) −2037.59 + 4461.70i −0.227720 + 0.498637i −0.988657 0.150188i \(-0.952012\pi\)
0.760938 + 0.648825i \(0.224739\pi\)
\(432\) −1739.18 510.670i −0.193695 0.0568741i
\(433\) −1946.66 4262.59i −0.216052 0.473088i 0.770312 0.637668i \(-0.220101\pi\)
−0.986364 + 0.164579i \(0.947373\pi\)
\(434\) −257.708 1792.40i −0.0285031 0.198244i
\(435\) 2490.37 + 1600.46i 0.274492 + 0.176406i
\(436\) −5460.42 −0.599786
\(437\) −8920.94 + 1462.15i −0.976536 + 0.160056i
\(438\) 2232.38 0.243533
\(439\) 4480.82 + 2879.65i 0.487148 + 0.313071i 0.761058 0.648684i \(-0.224680\pi\)
−0.273909 + 0.961756i \(0.588317\pi\)
\(440\) 222.877 + 1550.14i 0.0241482 + 0.167955i
\(441\) −913.897 2001.16i −0.0986824 0.216084i
\(442\) −1552.31 455.799i −0.167049 0.0490501i
\(443\) 394.955 864.831i 0.0423587 0.0927525i −0.887270 0.461251i \(-0.847401\pi\)
0.929628 + 0.368498i \(0.120128\pi\)
\(444\) −2406.36 + 2777.09i −0.257209 + 0.296835i
\(445\) −101.467 + 705.718i −0.0108090 + 0.0751781i
\(446\) 7951.98 2334.91i 0.844254 0.247895i
\(447\) 7263.62 + 8382.67i 0.768585 + 0.886995i
\(448\) −419.642 + 269.688i −0.0442550 + 0.0284409i
\(449\) 3736.07 2401.02i 0.392686 0.252364i −0.329367 0.944202i \(-0.606835\pi\)
0.722052 + 0.691838i \(0.243199\pi\)
\(450\) 255.211 + 294.529i 0.0267351 + 0.0308539i
\(451\) 12557.3 3687.16i 1.31109 0.384970i
\(452\) 372.236 2588.95i 0.0387356 0.269412i
\(453\) 3444.04 3974.63i 0.357207 0.412239i
\(454\) −1268.69 + 2778.04i −0.131151 + 0.287180i
\(455\) −235.363 69.1089i −0.0242506 0.00712061i
\(456\) 1606.58 + 3517.91i 0.164989 + 0.361275i
\(457\) 1763.02 + 12262.1i 0.180461 + 1.25513i 0.855676 + 0.517512i \(0.173142\pi\)
−0.675215 + 0.737621i \(0.735949\pi\)
\(458\) 2624.76 + 1686.83i 0.267788 + 0.172097i
\(459\) 14559.1 1.48052
\(460\) 2189.38 + 270.976i 0.221914 + 0.0274660i
\(461\) −11481.1 −1.15993 −0.579964 0.814642i \(-0.696933\pi\)
−0.579964 + 0.814642i \(0.696933\pi\)
\(462\) −3028.57 1946.34i −0.304982 0.196000i
\(463\) 928.368 + 6456.94i 0.0931855 + 0.648120i 0.981864 + 0.189588i \(0.0607153\pi\)
−0.888678 + 0.458531i \(0.848376\pi\)
\(464\) −667.137 1460.83i −0.0667479 0.146158i
\(465\) 3287.31 + 965.243i 0.327840 + 0.0962625i
\(466\) −2205.02 + 4828.31i −0.219196 + 0.479972i
\(467\) 5477.60 6321.49i 0.542769 0.626389i −0.416414 0.909175i \(-0.636713\pi\)
0.959183 + 0.282786i \(0.0912587\pi\)
\(468\) 27.9284 194.246i 0.00275853 0.0191860i
\(469\) −2241.77 + 658.242i −0.220715 + 0.0648077i
\(470\) 336.054 + 387.827i 0.0329809 + 0.0380620i
\(471\) −2081.26 + 1337.54i −0.203608 + 0.130851i
\(472\) 1676.06 1077.14i 0.163447 0.105041i
\(473\) −3659.20 4222.94i −0.355708 0.410509i
\(474\) 4575.27 1343.42i 0.443352 0.130180i
\(475\) −291.585 + 2028.02i −0.0281660 + 0.195899i
\(476\) 2623.81 3028.04i 0.252651 0.291575i
\(477\) −771.614 + 1689.60i −0.0740666 + 0.162183i
\(478\) −4615.19 1355.14i −0.441619 0.129671i
\(479\) −8599.44 18830.1i −0.820289 1.79618i −0.554584 0.832128i \(-0.687122\pi\)
−0.265705 0.964054i \(-0.585605\pi\)
\(480\) −134.315 934.182i −0.0127721 0.0888320i
\(481\) 824.669 + 529.983i 0.0781739 + 0.0502393i
\(482\) 12156.5 1.14878
\(483\) −3766.61 + 3395.68i −0.354838 + 0.319894i
\(484\) 807.523 0.0758380
\(485\) 7435.06 + 4778.23i 0.696101 + 0.447357i
\(486\) 604.659 + 4205.49i 0.0564360 + 0.392521i
\(487\) −514.083 1125.68i −0.0478344 0.104743i 0.884206 0.467097i \(-0.154700\pi\)
−0.932040 + 0.362355i \(0.881973\pi\)
\(488\) −6961.94 2044.21i −0.645804 0.189625i
\(489\) 3804.27 8330.18i 0.351810 0.770356i
\(490\) −1848.35 + 2133.11i −0.170408 + 0.196661i
\(491\) −1931.88 + 13436.5i −0.177565 + 1.23499i 0.684809 + 0.728723i \(0.259886\pi\)
−0.862374 + 0.506271i \(0.831023\pi\)
\(492\) −7567.57 + 2222.04i −0.693440 + 0.203612i
\(493\) 8447.20 + 9748.59i 0.771689 + 0.890577i
\(494\) 867.935 557.788i 0.0790491 0.0508017i
\(495\) 1283.61 824.924i 0.116553 0.0749042i
\(496\) −1217.15 1404.67i −0.110185 0.127160i
\(497\) 8138.16 2389.58i 0.734500 0.215669i
\(498\) 475.713 3308.66i 0.0428057 0.297720i
\(499\) 11505.9 13278.5i 1.03221 1.19123i 0.0509187 0.998703i \(-0.483785\pi\)
0.981291 0.192531i \(-0.0616695\pi\)
\(500\) 207.708 454.816i 0.0185779 0.0406800i
\(501\) 9248.03 + 2715.47i 0.824693 + 0.242152i
\(502\) 3410.75 + 7468.49i 0.303245 + 0.664014i
\(503\) 1384.51 + 9629.49i 0.122728 + 0.853594i 0.954444 + 0.298391i \(0.0964500\pi\)
−0.831715 + 0.555202i \(0.812641\pi\)
\(504\) 408.855 + 262.755i 0.0361347 + 0.0232223i
\(505\) 2578.58 0.227219
\(506\) 2270.03 8333.62i 0.199437 0.732163i
\(507\) 12725.7 1.11473
\(508\) −4786.48 3076.09i −0.418043 0.268660i
\(509\) −1165.39 8105.43i −0.101483 0.705829i −0.975511 0.219953i \(-0.929410\pi\)
0.874028 0.485876i \(-0.161499\pi\)
\(510\) 3149.11 + 6895.59i 0.273421 + 0.598709i
\(511\) 1415.14 + 415.521i 0.122509 + 0.0359718i
\(512\) −212.692 + 465.732i −0.0183589 + 0.0402004i
\(513\) −6080.05 + 7016.75i −0.523276 + 0.603893i
\(514\) 1164.25 8097.51i 0.0999080 0.694875i
\(515\) 1018.26 298.989i 0.0871264 0.0255826i
\(516\) 2205.19 + 2544.93i 0.188136 + 0.217120i
\(517\) 1690.21 1086.23i 0.143782 0.0924034i
\(518\) −2042.33 + 1312.53i −0.173234 + 0.111330i
\(519\) −10717.1 12368.2i −0.906417 1.04606i
\(520\) −241.578 + 70.9336i −0.0203729 + 0.00598201i
\(521\) −1351.46 + 9399.61i −0.113644 + 0.790411i 0.850679 + 0.525685i \(0.176191\pi\)
−0.964323 + 0.264727i \(0.914718\pi\)
\(522\) −1024.64 + 1182.50i −0.0859146 + 0.0991507i
\(523\) 6110.51 13380.2i 0.510887 1.11869i −0.461888 0.886938i \(-0.652828\pi\)
0.972776 0.231749i \(-0.0744448\pi\)
\(524\) 10350.9 + 3039.29i 0.862938 + 0.253381i
\(525\) 477.473 + 1045.52i 0.0396926 + 0.0869147i
\(526\) −987.794 6870.26i −0.0818819 0.569501i
\(527\) 12558.9 + 8071.14i 1.03810 + 0.667143i
\(528\) −3695.12 −0.304563
\(529\) −10486.2 6170.59i −0.861853 0.507158i
\(530\) 2383.07 0.195309
\(531\) −1632.98 1049.45i −0.133456 0.0857670i
\(532\) 363.628 + 2529.09i 0.0296340 + 0.206109i
\(533\) 874.053 + 1913.91i 0.0710308 + 0.155536i
\(534\) −1614.10 473.943i −0.130803 0.0384073i
\(535\) −3082.67 + 6750.11i −0.249113 + 0.545482i
\(536\) −1570.42 + 1812.36i −0.126552 + 0.146049i
\(537\) −1682.67 + 11703.2i −0.135219 + 0.940469i
\(538\) 9312.48 2734.39i 0.746263 0.219123i
\(539\) 7236.65 + 8351.54i 0.578302 + 0.667396i
\(540\) 1906.08 1224.96i 0.151897 0.0976183i
\(541\) 3547.66 2279.94i 0.281933 0.181187i −0.392030 0.919952i \(-0.628227\pi\)
0.673963 + 0.738765i \(0.264591\pi\)
\(542\) 6110.32 + 7051.68i 0.484245 + 0.558848i
\(543\) −22716.3 + 6670.09i −1.79530 + 0.527148i
\(544\) 585.263 4070.60i 0.0461268 0.320819i
\(545\) 4469.77 5158.39i 0.351310 0.405433i
\(546\) 240.433 526.475i 0.0188454 0.0412656i
\(547\) 5573.45 + 1636.51i 0.435655 + 0.127920i 0.492204 0.870480i \(-0.336191\pi\)
−0.0565487 + 0.998400i \(0.518010\pi\)
\(548\) 2550.69 + 5585.24i 0.198833 + 0.435383i
\(549\) 1006.07 + 6997.40i 0.0782116 + 0.543974i
\(550\) −1646.84 1058.36i −0.127675 0.0820520i
\(551\) −8225.98 −0.636005
\(552\) −1368.02 + 5022.20i −0.105483 + 0.387245i
\(553\) 3150.37 0.242256
\(554\) −2526.44 1623.64i −0.193751 0.124516i
\(555\) −653.691 4546.52i −0.0499957 0.347728i
\(556\) 3188.79 + 6982.47i 0.243228 + 0.532595i
\(557\) −20986.9 6162.30i −1.59648 0.468770i −0.641919 0.766772i \(-0.721862\pi\)
−0.954565 + 0.298002i \(0.903680\pi\)
\(558\) −752.260 + 1647.22i −0.0570712 + 0.124968i
\(559\) 588.284 678.916i 0.0445112 0.0513686i
\(560\) 88.7385 617.190i 0.00669623 0.0465733i
\(561\) 28477.5 8361.74i 2.14317 0.629293i
\(562\) −3804.22 4390.30i −0.285536 0.329526i
\(563\) −11426.6 + 7343.46i −0.855374 + 0.549715i −0.893247 0.449567i \(-0.851578\pi\)
0.0378726 + 0.999283i \(0.487942\pi\)
\(564\) −1018.60 + 654.612i −0.0760472 + 0.0488726i
\(565\) 2141.05 + 2470.90i 0.159424 + 0.183985i
\(566\) −11392.6 + 3345.17i −0.846053 + 0.248424i
\(567\) −974.677 + 6779.03i −0.0721915 + 0.502103i
\(568\) 5701.00 6579.31i 0.421142 0.486024i
\(569\) 8345.67 18274.5i 0.614884 1.34641i −0.304299 0.952576i \(-0.598422\pi\)
0.919183 0.393831i \(-0.128850\pi\)
\(570\) −4638.43 1361.97i −0.340847 0.100082i
\(571\) 2853.50 + 6248.29i 0.209133 + 0.457938i 0.984910 0.173070i \(-0.0553687\pi\)
−0.775776 + 0.631008i \(0.782641\pi\)
\(572\) 140.288 + 975.722i 0.0102548 + 0.0713234i
\(573\) −12911.6 8297.76i −0.941341 0.604963i
\(574\) −5210.77 −0.378909
\(575\) −2048.16 + 1846.46i −0.148546 + 0.133918i
\(576\) 498.840 0.0360850
\(577\) −4622.48 2970.69i −0.333512 0.214335i 0.363157 0.931728i \(-0.381699\pi\)
−0.696669 + 0.717393i \(0.745335\pi\)
\(578\) 3302.53 + 22969.6i 0.237659 + 1.65296i
\(579\) 3051.09 + 6680.95i 0.218996 + 0.479535i
\(580\) 1926.13 + 565.561i 0.137893 + 0.0404891i
\(581\) 917.413 2008.85i 0.0655089 0.143445i
\(582\) −13655.9 + 15759.8i −0.972606 + 1.12245i
\(583\) 1327.83 9235.24i 0.0943276 0.656063i
\(584\) 1452.50 426.492i 0.102919 0.0302198i
\(585\) 160.640 + 185.389i 0.0113533 + 0.0131024i
\(586\) −9590.56 + 6163.48i −0.676079 + 0.434490i
\(587\) −11342.1 + 7289.12i −0.797510 + 0.512529i −0.874802 0.484480i \(-0.839009\pi\)
0.0772922 + 0.997008i \(0.475373\pi\)
\(588\) −4361.12 5033.00i −0.305866 0.352989i
\(589\) −9134.65 + 2682.18i −0.639027 + 0.187635i
\(590\) −354.423 + 2465.07i −0.0247311 + 0.172009i
\(591\) 13482.5 15559.6i 0.938400 1.08297i
\(592\) −1035.14 + 2266.64i −0.0718650 + 0.157362i
\(593\) −25680.0 7540.34i −1.77833 0.522166i −0.783295 0.621650i \(-0.786463\pi\)
−0.995039 + 0.0994838i \(0.968281\pi\)
\(594\) −3685.10 8069.25i −0.254548 0.557383i
\(595\) 712.760 + 4957.36i 0.0491098 + 0.341566i
\(596\) 6327.57 + 4066.48i 0.434878 + 0.279479i
\(597\) 22123.5 1.51667
\(598\) 1378.08 + 170.564i 0.0942375 + 0.0116637i
\(599\) 325.992 0.0222365 0.0111182 0.999938i \(-0.496461\pi\)
0.0111182 + 0.999938i \(0.496461\pi\)
\(600\) 992.456 + 637.813i 0.0675281 + 0.0433977i
\(601\) −2788.12 19391.8i −0.189234 1.31615i −0.833996 0.551770i \(-0.813952\pi\)
0.644762 0.764384i \(-0.276957\pi\)
\(602\) 924.202 + 2023.72i 0.0625709 + 0.137011i
\(603\) 2241.81 + 658.255i 0.151399 + 0.0444548i
\(604\) 1481.52 3244.07i 0.0998047 0.218542i
\(605\) −661.019 + 762.857i −0.0444202 + 0.0512637i
\(606\) −865.856 + 6022.16i −0.0580413 + 0.403686i
\(607\) 7633.38 2241.36i 0.510428 0.149875i −0.0163697 0.999866i \(-0.505211\pi\)
0.526797 + 0.849991i \(0.323393\pi\)
\(608\) 1717.41 + 1982.00i 0.114556 + 0.132205i
\(609\) −3882.09 + 2494.87i −0.258309 + 0.166005i
\(610\) 7630.02 4903.52i 0.506443 0.325471i
\(611\) 211.526 + 244.115i 0.0140056 + 0.0161634i
\(612\) −3844.45 + 1128.83i −0.253926 + 0.0745593i
\(613\) 1866.86 12984.3i 0.123005 0.855517i −0.831117 0.556098i \(-0.812298\pi\)
0.954122 0.299419i \(-0.0967930\pi\)
\(614\) −8732.22 + 10077.5i −0.573948 + 0.662371i
\(615\) 4095.50 8967.89i 0.268531 0.588001i
\(616\) −2342.38 687.786i −0.153210 0.0449865i
\(617\) 3586.79 + 7853.97i 0.234034 + 0.512462i 0.989815 0.142362i \(-0.0454698\pi\)
−0.755781 + 0.654824i \(0.772743\pi\)
\(618\) 356.355 + 2478.51i 0.0231953 + 0.161327i
\(619\) −1706.47 1096.68i −0.110806 0.0712106i 0.484064 0.875033i \(-0.339160\pi\)
−0.594870 + 0.803822i \(0.702796\pi\)
\(620\) 2323.30 0.150493
\(621\) −12331.6 + 2021.16i −0.796858 + 0.130606i
\(622\) 18053.7 1.16380
\(623\) −934.983 600.877i −0.0601273 0.0386415i
\(624\) −84.5434 588.012i −0.00542379 0.0377233i
\(625\) 259.634 + 568.520i 0.0166166 + 0.0363853i
\(626\) −4801.51 1409.85i −0.306561 0.0900144i
\(627\) −7862.60 + 17216.7i −0.500800 + 1.09660i
\(628\) −1098.64 + 1267.89i −0.0698095 + 0.0805644i
\(629\) 2848.39 19811.0i 0.180561 1.25583i
\(630\) −582.901 + 171.155i −0.0368624 + 0.0108238i
\(631\) 17161.9 + 19805.9i 1.08273 + 1.24954i 0.966596 + 0.256305i \(0.0825052\pi\)
0.116135 + 0.993233i \(0.462949\pi\)
\(632\) 2720.24 1748.19i 0.171211 0.110031i
\(633\) −4574.73 + 2940.00i −0.287250 + 0.184604i
\(634\) 2933.61 + 3385.57i 0.183767 + 0.212079i
\(635\) 6824.04 2003.72i 0.426462 0.125221i
\(636\) −800.206 + 5565.55i −0.0498903 + 0.346995i
\(637\) −1163.43 + 1342.66i −0.0723651 + 0.0835138i
\(638\) 3264.97 7149.29i 0.202604 0.443641i
\(639\) −8138.33 2389.63i −0.503830 0.147938i
\(640\) −265.866 582.164i −0.0164207 0.0359564i
\(641\) −536.231 3729.57i −0.0330419 0.229811i 0.966608 0.256258i \(-0.0824898\pi\)
−0.999650 + 0.0264470i \(0.991581\pi\)
\(642\) −14729.4 9466.04i −0.905491 0.581924i
\(643\) −25883.0 −1.58744 −0.793721 0.608282i \(-0.791859\pi\)
−0.793721 + 0.608282i \(0.791859\pi\)
\(644\) −1802.00 + 2929.00i −0.110262 + 0.179222i
\(645\) −4209.27 −0.256961
\(646\) −17720.8 11388.5i −1.07928 0.693612i
\(647\) −3103.83 21587.6i −0.188600 1.31174i −0.835636 0.549284i \(-0.814901\pi\)
0.647036 0.762460i \(-0.276008\pi\)
\(648\) 2920.19 + 6394.32i 0.177031 + 0.387643i
\(649\) 9355.52 + 2747.03i 0.565850 + 0.166148i
\(650\) 130.740 286.280i 0.00788928 0.0172751i
\(651\) −3497.44 + 4036.26i −0.210562 + 0.243001i
\(652\) 883.781 6146.83i 0.0530852 0.369215i
\(653\) 6449.36 1893.70i 0.386498 0.113486i −0.0827102 0.996574i \(-0.526358\pi\)
0.469208 + 0.883088i \(0.344539\pi\)
\(654\) 10546.3 + 12171.1i 0.630570 + 0.727716i
\(655\) −11344.1 + 7290.44i −0.676721 + 0.434902i
\(656\) −4499.32 + 2891.54i −0.267788 + 0.172097i
\(657\) −965.859 1114.66i −0.0573543 0.0661904i
\(658\) −767.546 + 225.372i −0.0454743 + 0.0133524i
\(659\) −2248.30 + 15637.3i −0.132900 + 0.924341i 0.808847 + 0.588019i \(0.200092\pi\)
−0.941747 + 0.336322i \(0.890817\pi\)
\(660\) 3024.74 3490.73i 0.178390 0.205874i
\(661\) 2154.29 4717.24i 0.126766 0.277578i −0.835599 0.549340i \(-0.814879\pi\)
0.962364 + 0.271762i \(0.0876063\pi\)
\(662\) 10751.7 + 3156.99i 0.631234 + 0.185347i
\(663\) 1982.18 + 4340.37i 0.116111 + 0.254247i
\(664\) −322.590 2243.66i −0.0188538 0.131131i
\(665\) −2686.85 1726.74i −0.156679 0.100692i
\(666\) 2427.78 0.141253
\(667\) −8508.14 7084.39i −0.493908 0.411257i
\(668\) 6536.01 0.378572
\(669\) −20562.9 13215.0i −1.18835 0.763709i
\(670\) −426.606 2967.11i −0.0245988 0.171089i
\(671\) −14751.5 32301.2i −0.848694 1.85838i
\(672\) 1411.62 + 414.490i 0.0810335 + 0.0237936i
\(673\) −344.756 + 754.909i −0.0197464 + 0.0432387i −0.919248 0.393678i \(-0.871202\pi\)
0.899502 + 0.436917i \(0.143930\pi\)
\(674\) 11465.5 13231.9i 0.655243 0.756190i
\(675\) −403.063 + 2803.37i −0.0229836 + 0.159854i
\(676\) 8279.97 2431.22i 0.471095 0.138326i
\(677\) −10417.6 12022.5i −0.591404 0.682517i 0.378612 0.925555i \(-0.376401\pi\)
−0.970017 + 0.243038i \(0.921856\pi\)
\(678\) −6489.62 + 4170.62i −0.367599 + 0.236242i
\(679\) −11590.1 + 7448.50i −0.655062 + 0.420983i
\(680\) 3366.36 + 3884.98i 0.189844 + 0.219092i
\(681\) 8642.49 2537.66i 0.486316 0.142795i
\(682\) 1294.52 9003.60i 0.0726830 0.505521i
\(683\) 21866.4 25235.2i 1.22503 1.41376i 0.345157 0.938545i \(-0.387826\pi\)
0.879871 0.475213i \(-0.157629\pi\)
\(684\) 1061.45 2324.24i 0.0593354 0.129926i
\(685\) −7364.24 2162.34i −0.410764 0.120611i
\(686\) −4048.91 8865.88i −0.225347 0.493441i
\(687\) −1309.59 9108.43i −0.0727280 0.505835i
\(688\) 1921.01 + 1234.56i 0.106450 + 0.0684115i
\(689\) 1500.00 0.0829399
\(690\) −3624.58 5403.40i −0.199979 0.298122i
\(691\) −11218.3 −0.617602 −0.308801 0.951127i \(-0.599928\pi\)
−0.308801 + 0.951127i \(0.599928\pi\)
\(692\) −9336.04 5999.91i −0.512865 0.329599i
\(693\) 338.499 + 2354.31i 0.0185548 + 0.129052i
\(694\) −597.157 1307.59i −0.0326625 0.0715209i
\(695\) −9206.51 2703.28i −0.502479 0.147541i
\(696\) −1967.61 + 4308.47i −0.107158 + 0.234644i
\(697\) 28132.0 32466.0i 1.52880 1.76433i
\(698\) 143.703 999.475i 0.00779259 0.0541987i
\(699\) 15020.9 4410.53i 0.812793 0.238658i
\(700\) 510.412 + 589.047i 0.0275597 + 0.0318055i
\(701\) −11674.0 + 7502.45i −0.628990 + 0.404228i −0.815936 0.578143i \(-0.803778\pi\)
0.186945 + 0.982370i \(0.440141\pi\)
\(702\) 1199.76 771.040i 0.0645044 0.0414545i
\(703\) 8358.37 + 9646.08i 0.448424 + 0.517509i
\(704\) −2404.23 + 705.946i −0.128711 + 0.0377931i
\(705\) 215.395 1498.10i 0.0115067 0.0800310i
\(706\) 5270.13 6082.06i 0.280941 0.324223i
\(707\) −1669.80 + 3656.36i −0.0888252 + 0.194500i
\(708\) −5638.04 1655.48i −0.299281 0.0878767i
\(709\) −8904.98 19499.2i −0.471697 1.03287i −0.984663 0.174464i \(-0.944181\pi\)
0.512966 0.858409i \(-0.328547\pi\)
\(710\) 1548.68 + 10771.3i 0.0818606 + 0.569353i
\(711\) −2650.32 1703.26i −0.139796 0.0898412i
\(712\) −1140.76 −0.0600447
\(713\) −11757.9 5092.78i −0.617584 0.267498i
\(714\) −11817.0 −0.619385
\(715\) −1036.59 666.175i −0.0542185 0.0348441i
\(716\) 1141.05 + 7936.18i 0.0595574 + 0.414230i
\(717\) 5893.25 + 12904.4i 0.306956 + 0.672140i
\(718\) −4254.80 1249.32i −0.221153 0.0649363i
\(719\) −2112.15 + 4624.96i −0.109555 + 0.239892i −0.956467 0.291842i \(-0.905732\pi\)
0.846912 + 0.531733i \(0.178459\pi\)
\(720\) −408.338 + 471.247i −0.0211359 + 0.0243921i
\(721\) −235.435 + 1637.49i −0.0121610 + 0.0845813i
\(722\) −273.243 + 80.2312i −0.0140845 + 0.00413559i
\(723\) −23479.1 27096.3i −1.20774 1.39381i
\(724\) −13506.0 + 8679.79i −0.693297 + 0.445555i
\(725\) −2110.96 + 1356.63i −0.108137 + 0.0694952i
\(726\) −1559.65 1799.94i −0.0797303 0.0920137i
\(727\) 4836.57 1420.15i 0.246738 0.0724488i −0.156025 0.987753i \(-0.549868\pi\)
0.402763 + 0.915304i \(0.368050\pi\)
\(728\) 55.8557 388.485i 0.00284361 0.0197778i
\(729\) −7330.39 + 8459.72i −0.372422 + 0.429798i
\(730\) −786.079 + 1721.27i −0.0398549 + 0.0872701i
\(731\) −17598.5 5167.39i −0.890430 0.261454i
\(732\) 8889.87 + 19466.1i 0.448878 + 0.982907i
\(733\) 2855.44 + 19860.0i 0.143886 + 1.00075i 0.925976 + 0.377582i \(0.123244\pi\)
−0.782091 + 0.623165i \(0.785847\pi\)
\(734\) −4499.88 2891.90i −0.226286 0.145425i
\(735\) 8324.51 0.417761
\(736\) 69.3801 + 3529.05i 0.00347471 + 0.176743i
\(737\) −11736.3 −0.586583
\(738\) 4383.67 + 2817.21i 0.218652 + 0.140519i
\(739\) 2730.04 + 18987.8i 0.135895 + 0.945167i 0.937666 + 0.347537i \(0.112982\pi\)
−0.801772 + 0.597630i \(0.796109\pi\)
\(740\) −1293.93 2833.31i −0.0642780 0.140749i
\(741\) −2919.62 857.278i −0.144744 0.0425005i
\(742\) −1543.20 + 3379.13i −0.0763511 + 0.167186i
\(743\) −14971.9 + 17278.5i −0.739256 + 0.853147i −0.993481 0.113999i \(-0.963634\pi\)
0.254225 + 0.967145i \(0.418180\pi\)
\(744\) −780.135 + 5425.96i −0.0384424 + 0.267373i
\(745\) −9021.14 + 2648.85i −0.443636 + 0.130263i
\(746\) 17603.5 + 20315.5i 0.863954 + 0.997057i
\(747\) −1857.88 + 1193.99i −0.0909992 + 0.0584816i
\(748\) 16931.4 10881.1i 0.827637 0.531890i
\(749\) −7575.24 8742.29i −0.369550 0.426484i
\(750\) −1414.93 + 415.462i −0.0688881 + 0.0202274i
\(751\) −335.926 + 2336.42i −0.0163224 + 0.113525i −0.996354 0.0853183i \(-0.972809\pi\)
0.980031 + 0.198843i \(0.0637184\pi\)
\(752\) −537.687 + 620.524i −0.0260737 + 0.0300907i
\(753\) 10059.4 22027.1i 0.486835 1.06602i
\(754\) 1212.38 + 355.988i 0.0585575 + 0.0171940i
\(755\) 1851.90 + 4055.09i 0.0892680 + 0.195470i
\(756\) 502.650 + 3496.00i 0.0241815 + 0.168186i
\(757\) 30622.7 + 19680.0i 1.47028 + 0.944891i 0.997985 + 0.0634495i \(0.0202102\pi\)
0.472294 + 0.881441i \(0.343426\pi\)
\(758\) 17382.0 0.832908
\(759\) −22959.7 + 11035.8i −1.09800 + 0.527765i
\(760\) −3278.20 −0.156464
\(761\) −32605.3 20954.1i −1.55314 0.998143i −0.984465 0.175582i \(-0.943819\pi\)
−0.568677 0.822561i \(-0.692544\pi\)
\(762\) 2388.16 + 16610.0i 0.113536 + 0.789657i
\(763\) 4419.98 + 9678.41i 0.209717 + 0.459216i
\(764\) −9986.18 2932.21i −0.472889 0.138853i
\(765\) 2080.58 4555.83i 0.0983314 0.215316i
\(766\) 5018.23 5791.35i 0.236705 0.273172i
\(767\) −223.089 + 1551.62i −0.0105023 + 0.0730451i
\(768\) 1448.89 425.433i 0.0680761 0.0199889i
\(769\) 23440.8 + 27052.1i 1.09921 + 1.26856i 0.960515 + 0.278227i \(0.0897468\pi\)
0.138700 + 0.990335i \(0.455708\pi\)
\(770\) 2567.16 1649.81i 0.120148 0.0772145i
\(771\) −20297.7 + 13044.5i −0.948122 + 0.60932