Properties

Label 230.4.g.b.81.1
Level $230$
Weight $4$
Character 230.81
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 81.1
Character \(\chi\) \(=\) 230.81
Dual form 230.4.g.b.71.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68251 + 1.08128i) q^{2} +(-1.10005 + 7.65101i) q^{3} +(1.66166 - 3.63853i) q^{4} +(-4.79746 + 1.40866i) q^{5} +(-6.42205 - 14.0623i) q^{6} +(-11.9276 - 13.7651i) q^{7} +(1.13852 + 7.91857i) q^{8} +(-31.4215 - 9.22619i) q^{9} +O(q^{10})\) \(q+(-1.68251 + 1.08128i) q^{2} +(-1.10005 + 7.65101i) q^{3} +(1.66166 - 3.63853i) q^{4} +(-4.79746 + 1.40866i) q^{5} +(-6.42205 - 14.0623i) q^{6} +(-11.9276 - 13.7651i) q^{7} +(1.13852 + 7.91857i) q^{8} +(-31.4215 - 9.22619i) q^{9} +(6.54861 - 7.55750i) q^{10} +(10.1501 + 6.52307i) q^{11} +(26.0105 + 16.7159i) q^{12} +(59.7776 - 68.9870i) q^{13} +(34.9522 + 10.2629i) q^{14} +(-5.50024 - 38.2550i) q^{15} +(-10.4778 - 12.0920i) q^{16} +(-23.5175 - 51.4961i) q^{17} +(62.8430 - 18.4524i) q^{18} +(-18.4094 + 40.3109i) q^{19} +(-2.84630 + 19.7964i) q^{20} +(118.438 - 76.1155i) q^{21} -24.1309 q^{22} +(-80.7033 - 75.1930i) q^{23} -61.8375 q^{24} +(21.0313 - 13.5160i) q^{25} +(-25.9818 + 180.708i) q^{26} +(18.4571 - 40.4154i) q^{27} +(-69.9044 + 20.5258i) q^{28} +(109.743 + 240.303i) q^{29} +(50.6187 + 58.4171i) q^{30} +(-20.9445 - 145.672i) q^{31} +(30.7038 + 9.01544i) q^{32} +(-61.0737 + 70.4828i) q^{33} +(95.2501 + 61.2135i) q^{34} +(76.6124 + 49.2358i) q^{35} +(-85.7816 + 98.9973i) q^{36} +(184.817 + 54.2670i) q^{37} +(-12.6136 - 87.7292i) q^{38} +(462.062 + 533.248i) q^{39} +(-16.6166 - 36.3853i) q^{40} +(217.535 - 63.8741i) q^{41} +(-116.971 + 256.130i) q^{42} +(55.5704 - 386.501i) q^{43} +(40.6004 - 26.0923i) q^{44} +163.740 q^{45} +(217.089 + 39.2497i) q^{46} -352.008 q^{47} +(104.042 - 66.8637i) q^{48} +(1.60170 - 11.1401i) q^{49} +(-20.7708 + 45.4816i) q^{50} +(419.867 - 123.284i) q^{51} +(-151.681 - 332.135i) q^{52} +(101.767 + 117.446i) q^{53} +(12.6462 + 87.9566i) q^{54} +(-57.8836 - 16.9961i) q^{55} +(95.4204 - 110.121i) q^{56} +(-288.168 - 185.194i) q^{57} +(-444.478 - 285.649i) q^{58} +(51.7813 - 59.7588i) q^{59} +(-148.332 - 43.5541i) q^{60} +(48.2654 + 335.693i) q^{61} +(192.752 + 222.447i) q^{62} +(247.782 + 542.567i) q^{63} +(-61.4076 + 18.0309i) q^{64} +(-189.601 + 415.169i) q^{65} +(26.5452 - 184.626i) q^{66} +(614.485 - 394.906i) q^{67} -226.448 q^{68} +(664.080 - 534.746i) q^{69} -182.139 q^{70} +(383.505 - 246.464i) q^{71} +(37.2843 - 259.318i) q^{72} +(443.319 - 970.733i) q^{73} +(-369.633 + 108.534i) q^{74} +(80.2757 + 175.779i) q^{75} +(116.082 + 133.966i) q^{76} +(-31.2749 - 217.522i) q^{77} +(-1354.01 - 397.574i) q^{78} +(-696.572 + 803.887i) q^{79} +(67.3003 + 43.2513i) q^{80} +(-454.919 - 292.359i) q^{81} +(-296.939 + 342.685i) q^{82} +(220.183 + 64.6516i) q^{83} +(-80.1446 - 557.418i) q^{84} +(185.365 + 213.922i) q^{85} +(324.419 + 710.378i) q^{86} +(-1959.28 + 575.298i) q^{87} +(-40.0973 + 87.8009i) q^{88} +(182.199 - 1267.22i) q^{89} +(-275.494 + 177.049i) q^{90} -1662.62 q^{91} +(-407.693 + 168.696i) q^{92} +1137.58 q^{93} +(592.256 - 380.620i) q^{94} +(31.5339 - 219.323i) q^{95} +(-102.753 + 224.997i) q^{96} +(-640.582 + 188.092i) q^{97} +(9.35068 + 20.4751i) q^{98} +(-258.748 - 298.612i) 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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

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
\(3\) −1.10005 + 7.65101i −0.211705 + 1.47244i 0.555758 + 0.831344i \(0.312428\pi\)
−0.767463 + 0.641093i \(0.778481\pi\)
\(4\) 1.66166 3.63853i 0.207708 0.454816i
\(5\) −4.79746 + 1.40866i −0.429098 + 0.125995i
\(6\) −6.42205 14.0623i −0.436965 0.956821i
\(7\) −11.9276 13.7651i −0.644027 0.743247i 0.336054 0.941843i \(-0.390907\pi\)
−0.980082 + 0.198595i \(0.936362\pi\)
\(8\) 1.13852 + 7.91857i 0.0503159 + 0.349955i
\(9\) −31.4215 9.22619i −1.16376 0.341711i
\(10\) 6.54861 7.55750i 0.207085 0.238989i
\(11\) 10.1501 + 6.52307i 0.278215 + 0.178798i 0.672306 0.740273i \(-0.265304\pi\)
−0.394090 + 0.919072i \(0.628940\pi\)
\(12\) 26.0105 + 16.7159i 0.625715 + 0.402123i
\(13\) 59.7776 68.9870i 1.27533 1.47181i 0.465621 0.884984i \(-0.345831\pi\)
0.809712 0.586828i \(-0.199623\pi\)
\(14\) 34.9522 + 10.2629i 0.667240 + 0.195919i
\(15\) −5.50024 38.2550i −0.0946771 0.658494i
\(16\) −10.4778 12.0920i −0.163715 0.188937i
\(17\) −23.5175 51.4961i −0.335519 0.734684i 0.664400 0.747377i \(-0.268687\pi\)
−0.999919 + 0.0126926i \(0.995960\pi\)
\(18\) 62.8430 18.4524i 0.822902 0.241626i
\(19\) −18.4094 + 40.3109i −0.222284 + 0.486735i −0.987614 0.156904i \(-0.949849\pi\)
0.765329 + 0.643639i \(0.222576\pi\)
\(20\) −2.84630 + 19.7964i −0.0318226 + 0.221331i
\(21\) 118.438 76.1155i 1.23073 0.790941i
\(22\) −24.1309 −0.233851
\(23\) −80.7033 75.1930i −0.731643 0.681688i
\(24\) −61.8375 −0.525938
\(25\) 21.0313 13.5160i 0.168251 0.108128i
\(26\) −25.9818 + 180.708i −0.195979 + 1.36306i
\(27\) 18.4571 40.4154i 0.131558 0.288072i
\(28\) −69.9044 + 20.5258i −0.471810 + 0.138536i
\(29\) 109.743 + 240.303i 0.702715 + 1.53873i 0.836649 + 0.547740i \(0.184512\pi\)
−0.133934 + 0.990990i \(0.542761\pi\)
\(30\) 50.6187 + 58.4171i 0.308055 + 0.355515i
\(31\) −20.9445 145.672i −0.121346 0.843983i −0.956033 0.293258i \(-0.905260\pi\)
0.834687 0.550725i \(-0.185649\pi\)
\(32\) 30.7038 + 9.01544i 0.169616 + 0.0498038i
\(33\) −61.0737 + 70.4828i −0.322169 + 0.371802i
\(34\) 95.2501 + 61.2135i 0.480448 + 0.308766i
\(35\) 76.6124 + 49.2358i 0.369996 + 0.237782i
\(36\) −85.7816 + 98.9973i −0.397137 + 0.458321i
\(37\) 184.817 + 54.2670i 0.821180 + 0.241120i 0.665224 0.746644i \(-0.268336\pi\)
0.155956 + 0.987764i \(0.450154\pi\)
\(38\) −12.6136 87.7292i −0.0538471 0.374515i
\(39\) 462.062 + 533.248i 1.89716 + 2.18944i
\(40\) −16.6166 36.3853i −0.0656829 0.143825i
\(41\) 217.535 63.8741i 0.828617 0.243304i 0.160194 0.987086i \(-0.448788\pi\)
0.668423 + 0.743782i \(0.266970\pi\)
\(42\) −116.971 + 256.130i −0.429737 + 0.940992i
\(43\) 55.5704 386.501i 0.197079 1.37072i −0.615624 0.788040i \(-0.711096\pi\)
0.812704 0.582677i \(-0.197995\pi\)
\(44\) 40.6004 26.0923i 0.139108 0.0893991i
\(45\) 163.740 0.542421
\(46\) 217.089 + 39.2497i 0.695825 + 0.125806i
\(47\) −352.008 −1.09246 −0.546230 0.837635i \(-0.683938\pi\)
−0.546230 + 0.837635i \(0.683938\pi\)
\(48\) 104.042 66.8637i 0.312858 0.201061i
\(49\) 1.60170 11.1401i 0.00466968 0.0324783i
\(50\) −20.7708 + 45.4816i −0.0587486 + 0.128641i
\(51\) 419.867 123.284i 1.15281 0.338495i
\(52\) −151.681 332.135i −0.404508 0.885748i
\(53\) 101.767 + 117.446i 0.263751 + 0.304385i 0.872142 0.489252i \(-0.162730\pi\)
−0.608391 + 0.793637i \(0.708185\pi\)
\(54\) 12.6462 + 87.9566i 0.0318692 + 0.221655i
\(55\) −57.8836 16.9961i −0.141909 0.0416684i
\(56\) 95.4204 110.121i 0.227698 0.262778i
\(57\) −288.168 185.194i −0.669628 0.430344i
\(58\) −444.478 285.649i −1.00626 0.646682i
\(59\) 51.7813 59.7588i 0.114260 0.131863i −0.695738 0.718296i \(-0.744923\pi\)
0.809998 + 0.586432i \(0.199468\pi\)
\(60\) −148.332 43.5541i −0.319159 0.0937135i
\(61\) 48.2654 + 335.693i 0.101307 + 0.704608i 0.975655 + 0.219309i \(0.0703803\pi\)
−0.874348 + 0.485299i \(0.838711\pi\)
\(62\) 192.752 + 222.447i 0.394831 + 0.455659i
\(63\) 247.782 + 542.567i 0.495518 + 1.08503i
\(64\) −61.4076 + 18.0309i −0.119937 + 0.0352166i
\(65\) −189.601 + 415.169i −0.361803 + 0.792237i
\(66\) 26.5452 184.626i 0.0495073 0.344331i
\(67\) 614.485 394.906i 1.12047 0.720081i 0.156918 0.987612i \(-0.449844\pi\)
0.963549 + 0.267531i \(0.0862077\pi\)
\(68\) −226.448 −0.403836
\(69\) 664.080 534.746i 1.15863 0.932983i
\(70\) −182.139 −0.310996
\(71\) 383.505 246.464i 0.641037 0.411970i −0.179344 0.983786i \(-0.557398\pi\)
0.820381 + 0.571817i \(0.193761\pi\)
\(72\) 37.2843 259.318i 0.0610277 0.424457i
\(73\) 443.319 970.733i 0.710775 1.55638i −0.115624 0.993293i \(-0.536887\pi\)
0.826398 0.563086i \(-0.190386\pi\)
\(74\) −369.633 + 108.534i −0.580662 + 0.170498i
\(75\) 80.2757 + 175.779i 0.123593 + 0.270630i
\(76\) 116.082 + 133.966i 0.175205 + 0.202197i
\(77\) −31.2749 217.522i −0.0462871 0.321934i
\(78\) −1354.01 397.574i −1.96554 0.577134i
\(79\) −696.572 + 803.887i −0.992031 + 1.14486i −0.00257996 + 0.999997i \(0.500821\pi\)
−0.989451 + 0.144868i \(0.953724\pi\)
\(80\) 67.3003 + 43.2513i 0.0940550 + 0.0604455i
\(81\) −454.919 292.359i −0.624031 0.401041i
\(82\) −296.939 + 342.685i −0.399895 + 0.461503i
\(83\) 220.183 + 64.6516i 0.291184 + 0.0854992i 0.424062 0.905633i \(-0.360604\pi\)
−0.132878 + 0.991132i \(0.542422\pi\)
\(84\) −80.1446 557.418i −0.104101 0.724039i
\(85\) 185.365 + 213.922i 0.236537 + 0.272978i
\(86\) 324.419 + 710.378i 0.406779 + 0.890721i
\(87\) −1959.28 + 575.298i −2.41445 + 0.708947i
\(88\) −40.0973 + 87.8009i −0.0485726 + 0.106359i
\(89\) 182.199 1267.22i 0.217001 1.50928i −0.532021 0.846731i \(-0.678567\pi\)
0.749022 0.662545i \(-0.230524\pi\)
\(90\) −275.494 + 177.049i −0.322662 + 0.207363i
\(91\) −1662.62 −1.91527
\(92\) −407.693 + 168.696i −0.462010 + 0.191171i
\(93\) 1137.58 1.26840
\(94\) 592.256 380.620i 0.649857 0.417638i
\(95\) 31.5339 219.323i 0.0340559 0.236864i
\(96\) −102.753 + 224.997i −0.109241 + 0.239205i
\(97\) −640.582 + 188.092i −0.670528 + 0.196885i −0.599238 0.800571i \(-0.704530\pi\)
−0.0712899 + 0.997456i \(0.522712\pi\)
\(98\) 9.35068 + 20.4751i 0.00963838 + 0.0211051i
\(99\) −258.748 298.612i −0.262679 0.303147i
\(100\) −14.2315 98.9821i −0.0142315 0.0989821i
\(101\) 788.201 + 231.437i 0.776524 + 0.228008i 0.645898 0.763424i \(-0.276483\pi\)
0.130626 + 0.991432i \(0.458301\pi\)
\(102\) −573.125 + 661.421i −0.556351 + 0.642063i
\(103\) −746.722 479.889i −0.714337 0.459077i 0.132326 0.991206i \(-0.457756\pi\)
−0.846663 + 0.532130i \(0.821392\pi\)
\(104\) 614.337 + 394.810i 0.579237 + 0.372253i
\(105\) −460.981 + 532.001i −0.428449 + 0.494457i
\(106\) −298.216 87.5640i −0.273257 0.0802356i
\(107\) −189.786 1319.99i −0.171471 1.19260i −0.875780 0.482710i \(-0.839652\pi\)
0.704309 0.709893i \(-0.251257\pi\)
\(108\) −116.383 134.313i −0.103694 0.119670i
\(109\) −243.339 532.837i −0.213831 0.468225i 0.772073 0.635533i \(-0.219220\pi\)
−0.985905 + 0.167308i \(0.946492\pi\)
\(110\) 115.767 33.9923i 0.100345 0.0294640i
\(111\) −618.505 + 1354.34i −0.528882 + 1.15809i
\(112\) −41.4737 + 288.456i −0.0349901 + 0.243362i
\(113\) 1191.86 765.961i 0.992218 0.637659i 0.0594853 0.998229i \(-0.481054\pi\)
0.932732 + 0.360570i \(0.117418\pi\)
\(114\) 685.092 0.562849
\(115\) 493.093 + 247.052i 0.399836 + 0.200328i
\(116\) 1056.71 0.845798
\(117\) −2514.79 + 1616.16i −1.98711 + 1.27704i
\(118\) −22.5063 + 156.535i −0.0175582 + 0.122120i
\(119\) −428.344 + 937.943i −0.329969 + 0.722530i
\(120\) 296.663 87.1082i 0.225679 0.0662654i
\(121\) −492.443 1078.30i −0.369980 0.810143i
\(122\) −444.186 512.618i −0.329629 0.380412i
\(123\) 249.402 + 1734.63i 0.182828 + 1.27159i
\(124\) −564.834 165.850i −0.409061 0.120111i
\(125\) −81.8576 + 94.4687i −0.0585725 + 0.0675963i
\(126\) −1003.56 644.951i −0.709559 0.456006i
\(127\) −790.842 508.243i −0.552566 0.355113i 0.234370 0.972148i \(-0.424697\pi\)
−0.786936 + 0.617035i \(0.788334\pi\)
\(128\) 83.8222 96.7359i 0.0578821 0.0667995i
\(129\) 2895.99 + 850.340i 1.97657 + 0.580374i
\(130\) −129.909 903.538i −0.0876445 0.609581i
\(131\) 30.6720 + 35.3974i 0.0204567 + 0.0236083i 0.765886 0.642977i \(-0.222301\pi\)
−0.745429 + 0.666585i \(0.767755\pi\)
\(132\) 154.970 + 339.337i 0.102185 + 0.223754i
\(133\) 774.465 227.403i 0.504922 0.148258i
\(134\) −606.872 + 1328.86i −0.391237 + 0.856689i
\(135\) −31.6156 + 219.891i −0.0201558 + 0.140187i
\(136\) 381.000 244.854i 0.240224 0.154383i
\(137\) −1237.65 −0.771825 −0.385912 0.922535i \(-0.626113\pi\)
−0.385912 + 0.922535i \(0.626113\pi\)
\(138\) −539.108 + 1617.77i −0.332550 + 0.997926i
\(139\) −659.993 −0.402733 −0.201366 0.979516i \(-0.564538\pi\)
−0.201366 + 0.979516i \(0.564538\pi\)
\(140\) 306.450 196.943i 0.184998 0.118891i
\(141\) 387.226 2693.22i 0.231279 1.60858i
\(142\) −378.753 + 829.353i −0.223833 + 0.490125i
\(143\) 1056.76 310.292i 0.617975 0.181454i
\(144\) 217.664 + 476.619i 0.125963 + 0.275821i
\(145\) −864.993 998.255i −0.495405 0.571728i
\(146\) 303.749 + 2112.62i 0.172181 + 1.19754i
\(147\) 83.4708 + 24.5092i 0.0468337 + 0.0137516i
\(148\) 504.555 582.287i 0.280231 0.323403i
\(149\) −1166.13 749.424i −0.641160 0.412048i 0.179267 0.983801i \(-0.442627\pi\)
−0.820426 + 0.571752i \(0.806264\pi\)
\(150\) −325.131 208.949i −0.176979 0.113738i
\(151\) 1282.64 1480.25i 0.691257 0.797753i −0.296287 0.955099i \(-0.595748\pi\)
0.987544 + 0.157346i \(0.0502938\pi\)
\(152\) −340.165 99.8813i −0.181520 0.0532990i
\(153\) 263.842 + 1835.06i 0.139414 + 0.969646i
\(154\) 287.823 + 332.165i 0.150606 + 0.173809i
\(155\) 305.683 + 669.353i 0.158407 + 0.346863i
\(156\) 2708.03 795.149i 1.38984 0.408095i
\(157\) 445.525 975.563i 0.226476 0.495914i −0.761946 0.647640i \(-0.775756\pi\)
0.988423 + 0.151727i \(0.0484833\pi\)
\(158\) 302.759 2105.74i 0.152444 1.06027i
\(159\) −1010.53 + 649.426i −0.504025 + 0.323917i
\(160\) −160.000 −0.0790569
\(161\) −72.4483 + 2007.76i −0.0354641 + 0.982817i
\(162\) 1081.53 0.524523
\(163\) −2545.48 + 1635.88i −1.22318 + 0.786087i −0.982814 0.184597i \(-0.940902\pi\)
−0.240361 + 0.970684i \(0.577266\pi\)
\(164\) 129.062 897.645i 0.0614515 0.427404i
\(165\) 193.712 424.171i 0.0913969 0.200131i
\(166\) −440.366 + 129.303i −0.205898 + 0.0604571i
\(167\) 314.119 + 687.826i 0.145553 + 0.318716i 0.968341 0.249633i \(-0.0803098\pi\)
−0.822788 + 0.568348i \(0.807583\pi\)
\(168\) 737.570 + 851.201i 0.338719 + 0.390902i
\(169\) −873.183 6073.12i −0.397443 2.76428i
\(170\) −543.188 159.494i −0.245062 0.0719568i
\(171\) 950.367 1096.78i 0.425008 0.490486i
\(172\) −1313.95 844.428i −0.582489 0.374343i
\(173\) 2596.04 + 1668.37i 1.14089 + 0.733203i 0.967804 0.251704i \(-0.0809911\pi\)
0.173082 + 0.984907i \(0.444627\pi\)
\(174\) 2674.45 3086.48i 1.16523 1.34474i
\(175\) −436.902 128.286i −0.188724 0.0554144i
\(176\) −27.4735 191.082i −0.0117664 0.0818373i
\(177\) 400.253 + 461.917i 0.169971 + 0.196157i
\(178\) 1063.68 + 2329.12i 0.447898 + 0.980759i
\(179\) 2790.49 819.362i 1.16520 0.342134i 0.358750 0.933434i \(-0.383203\pi\)
0.806452 + 0.591300i \(0.201385\pi\)
\(180\) 272.081 595.773i 0.112665 0.246702i
\(181\) 481.054 3345.80i 0.197549 1.37399i −0.613817 0.789449i \(-0.710367\pi\)
0.811366 0.584538i \(-0.198724\pi\)
\(182\) 2797.36 1797.76i 1.13931 0.732190i
\(183\) −2621.49 −1.05894
\(184\) 503.539 724.663i 0.201747 0.290342i
\(185\) −963.095 −0.382747
\(186\) −1913.98 + 1230.04i −0.754516 + 0.484898i
\(187\) 97.2080 676.096i 0.0380136 0.264391i
\(188\) −584.918 + 1280.79i −0.226912 + 0.496869i
\(189\) −776.472 + 227.993i −0.298836 + 0.0877462i
\(190\) 184.094 + 403.109i 0.0702925 + 0.153919i
\(191\) 2127.91 + 2455.74i 0.806127 + 0.930320i 0.998701 0.0509626i \(-0.0162289\pi\)
−0.192574 + 0.981282i \(0.561683\pi\)
\(192\) −70.4031 489.665i −0.0264631 0.184055i
\(193\) 3924.00 + 1152.19i 1.46350 + 0.429723i 0.913981 0.405758i \(-0.132992\pi\)
0.549520 + 0.835480i \(0.314810\pi\)
\(194\) 874.403 1009.11i 0.323600 0.373455i
\(195\) −2967.89 1907.35i −1.08992 0.700452i
\(196\) −37.8720 24.3388i −0.0138017 0.00886984i
\(197\) −718.860 + 829.609i −0.259983 + 0.300037i −0.870702 0.491811i \(-0.836335\pi\)
0.610719 + 0.791848i \(0.290881\pi\)
\(198\) 758.229 + 222.636i 0.272146 + 0.0799094i
\(199\) 294.459 + 2048.01i 0.104893 + 0.729544i 0.972603 + 0.232474i \(0.0746819\pi\)
−0.867710 + 0.497071i \(0.834409\pi\)
\(200\) 130.972 + 151.150i 0.0463056 + 0.0534396i
\(201\) 2345.46 + 5135.85i 0.823066 + 1.80226i
\(202\) −1576.40 + 462.874i −0.549086 + 0.161226i
\(203\) 1998.84 4376.85i 0.691090 1.51328i
\(204\) 249.104 1732.55i 0.0854939 0.594623i
\(205\) −953.640 + 612.868i −0.324903 + 0.208803i
\(206\) 1775.26 0.600429
\(207\) 1842.07 + 3107.26i 0.618517 + 1.04333i
\(208\) −1460.53 −0.486872
\(209\) −449.808 + 289.074i −0.148870 + 0.0956731i
\(210\) 200.362 1393.55i 0.0658393 0.457923i
\(211\) −2160.65 + 4731.15i −0.704953 + 1.54363i 0.128908 + 0.991657i \(0.458853\pi\)
−0.833861 + 0.551974i \(0.813875\pi\)
\(212\) 596.431 175.128i 0.193222 0.0567351i
\(213\) 1463.82 + 3205.32i 0.470889 + 1.03110i
\(214\) 1746.60 + 2015.69i 0.557922 + 0.643876i
\(215\) 277.852 + 1932.50i 0.0881366 + 0.613003i
\(216\) 341.046 + 100.140i 0.107432 + 0.0315448i
\(217\) −1755.38 + 2025.81i −0.549138 + 0.633738i
\(218\) 985.566 + 633.385i 0.306197 + 0.196781i
\(219\) 6939.41 + 4459.69i 2.14120 + 1.37606i
\(220\) −158.024 + 182.369i −0.0484271 + 0.0558878i
\(221\) −4958.38 1455.91i −1.50922 0.443146i
\(222\) −423.781 2947.46i −0.128118 0.891083i
\(223\) 1904.93 + 2198.41i 0.572035 + 0.660163i 0.965873 0.259017i \(-0.0833984\pi\)
−0.393838 + 0.919180i \(0.628853\pi\)
\(224\) −242.122 530.174i −0.0722208 0.158142i
\(225\) −785.538 + 230.655i −0.232752 + 0.0683421i
\(226\) −1177.09 + 2577.47i −0.346455 + 0.758631i
\(227\) −251.464 + 1748.97i −0.0735254 + 0.511380i 0.919464 + 0.393175i \(0.128623\pi\)
−0.992989 + 0.118205i \(0.962286\pi\)
\(228\) −1152.67 + 740.778i −0.334814 + 0.215172i
\(229\) −2372.28 −0.684562 −0.342281 0.939598i \(-0.611200\pi\)
−0.342281 + 0.939598i \(0.611200\pi\)
\(230\) −1096.76 + 117.506i −0.314428 + 0.0336873i
\(231\) 1698.66 0.483827
\(232\) −1777.91 + 1142.60i −0.503128 + 0.323341i
\(233\) −71.7939 + 499.337i −0.0201861 + 0.140398i −0.997422 0.0717576i \(-0.977139\pi\)
0.977236 + 0.212155i \(0.0680483\pi\)
\(234\) 2483.63 5438.39i 0.693846 1.51931i
\(235\) 1688.75 495.861i 0.468773 0.137644i
\(236\) −131.391 287.706i −0.0362408 0.0793563i
\(237\) −5384.28 6213.79i −1.47572 1.70308i
\(238\) −293.488 2041.26i −0.0799329 0.555945i
\(239\) −1841.47 540.703i −0.498387 0.146340i 0.0228716 0.999738i \(-0.492719\pi\)
−0.521259 + 0.853399i \(0.674537\pi\)
\(240\) −404.949 + 467.337i −0.108914 + 0.125694i
\(241\) −632.537 406.507i −0.169068 0.108653i 0.453371 0.891322i \(-0.350221\pi\)
−0.622438 + 0.782669i \(0.713858\pi\)
\(242\) 1994.49 + 1281.78i 0.529795 + 0.340479i
\(243\) 3522.86 4065.59i 0.930006 1.07328i
\(244\) 1301.63 + 382.193i 0.341509 + 0.100276i
\(245\) 8.00850 + 55.7003i 0.00208834 + 0.0145247i
\(246\) −2295.24 2648.85i −0.594875 0.686523i
\(247\) 1680.46 + 3679.70i 0.432896 + 0.947910i
\(248\) 1129.67 331.701i 0.289250 0.0849315i
\(249\) −736.862 + 1613.50i −0.187537 + 0.410649i
\(250\) 35.5787 247.455i 0.00900078 0.0626018i
\(251\) 621.240 399.247i 0.156224 0.100399i −0.460193 0.887819i \(-0.652220\pi\)
0.616417 + 0.787420i \(0.288583\pi\)
\(252\) 2385.88 0.596413
\(253\) −328.657 1289.65i −0.0816699 0.320473i
\(254\) 1880.15 0.464454
\(255\) −1840.63 + 1182.90i −0.452019 + 0.290495i
\(256\) −36.4326 + 253.394i −0.00889468 + 0.0618638i
\(257\) −1604.10 + 3512.50i −0.389343 + 0.852543i 0.608897 + 0.793249i \(0.291612\pi\)
−0.998241 + 0.0592938i \(0.981115\pi\)
\(258\) −5791.98 + 1700.68i −1.39765 + 0.410386i
\(259\) −1457.42 3191.30i −0.349650 0.765628i
\(260\) 1195.55 + 1379.74i 0.285173 + 0.329107i
\(261\) −1231.20 8563.20i −0.291990 2.03084i
\(262\) −89.8805 26.3913i −0.0211940 0.00622313i
\(263\) −685.636 + 791.266i −0.160753 + 0.185519i −0.830412 0.557150i \(-0.811895\pi\)
0.669659 + 0.742669i \(0.266440\pi\)
\(264\) −627.657 403.370i −0.146324 0.0940369i
\(265\) −653.666 420.085i −0.151526 0.0973798i
\(266\) −1057.16 + 1220.02i −0.243678 + 0.281219i
\(267\) 9495.12 + 2788.02i 2.17637 + 0.639041i
\(268\) −415.810 2892.02i −0.0947747 0.659173i
\(269\) 4376.85 + 5051.16i 0.992050 + 1.14489i 0.989448 + 0.144890i \(0.0462830\pi\)
0.00260256 + 0.999997i \(0.499172\pi\)
\(270\) −184.571 404.154i −0.0416024 0.0910965i
\(271\) 433.665 127.336i 0.0972078 0.0285428i −0.232767 0.972533i \(-0.574778\pi\)
0.329975 + 0.943990i \(0.392960\pi\)
\(272\) −376.279 + 823.937i −0.0838798 + 0.183671i
\(273\) 1828.96 12720.7i 0.405471 2.82011i
\(274\) 2082.36 1338.25i 0.459125 0.295061i
\(275\) 301.636 0.0661431
\(276\) −842.212 3304.84i −0.183678 0.720753i
\(277\) −6398.45 −1.38789 −0.693945 0.720028i \(-0.744129\pi\)
−0.693945 + 0.720028i \(0.744129\pi\)
\(278\) 1110.44 713.638i 0.239568 0.153961i
\(279\) −685.890 + 4770.47i −0.147180 + 1.02366i
\(280\) −302.653 + 662.717i −0.0645963 + 0.141446i
\(281\) −5801.01 + 1703.33i −1.23153 + 0.361609i −0.831826 0.555037i \(-0.812704\pi\)
−0.399701 + 0.916646i \(0.630886\pi\)
\(282\) 2260.62 + 4950.06i 0.477368 + 1.04529i
\(283\) −2331.55 2690.75i −0.489739 0.565189i 0.456057 0.889951i \(-0.349261\pi\)
−0.945796 + 0.324761i \(0.894716\pi\)
\(284\) −259.510 1804.93i −0.0542221 0.377123i
\(285\) 1643.35 + 482.532i 0.341557 + 0.100290i
\(286\) −1442.49 + 1664.72i −0.298238 + 0.344185i
\(287\) −3473.90 2232.54i −0.714487 0.459173i
\(288\) −881.581 566.558i −0.180374 0.115919i
\(289\) 1118.56 1290.88i 0.227673 0.262749i
\(290\) 2534.75 + 744.271i 0.513261 + 0.150707i
\(291\) −734.420 5108.01i −0.147947 1.02899i
\(292\) −2795.39 3226.06i −0.560233 0.646543i
\(293\) −3564.50 7805.16i −0.710717 1.55625i −0.826473 0.562976i \(-0.809656\pi\)
0.115756 0.993278i \(-0.463071\pi\)
\(294\) −166.942 + 49.0185i −0.0331164 + 0.00972386i
\(295\) −164.239 + 359.633i −0.0324148 + 0.0709785i
\(296\) −219.300 + 1525.27i −0.0430627 + 0.299508i
\(297\) 450.974 289.824i 0.0881083 0.0566238i
\(298\) 2772.35 0.538920
\(299\) −10011.6 + 1072.62i −1.93640 + 0.207463i
\(300\) 772.969 0.148758
\(301\) −5983.05 + 3845.08i −1.14571 + 0.736301i
\(302\) −557.489 + 3877.42i −0.106225 + 0.738809i
\(303\) −2637.78 + 5775.94i −0.500121 + 1.09511i
\(304\) 680.329 199.763i 0.128354 0.0376881i
\(305\) −704.430 1542.49i −0.132248 0.289582i
\(306\) −2428.13 2802.22i −0.453618 0.523503i
\(307\) −551.581 3836.33i −0.102542 0.713195i −0.974626 0.223839i \(-0.928141\pi\)
0.872084 0.489356i \(-0.162768\pi\)
\(308\) −843.427 247.653i −0.156035 0.0458160i
\(309\) 4493.07 5185.28i 0.827190 0.954628i
\(310\) −1238.07 795.661i −0.226832 0.145776i
\(311\) 396.419 + 254.763i 0.0722793 + 0.0464511i 0.576281 0.817251i \(-0.304503\pi\)
−0.504002 + 0.863702i \(0.668140\pi\)
\(312\) −3696.50 + 4265.98i −0.670746 + 0.774083i
\(313\) −5244.49 1539.92i −0.947079 0.278088i −0.228509 0.973542i \(-0.573385\pi\)
−0.718570 + 0.695454i \(0.755203\pi\)
\(314\) 305.260 + 2123.13i 0.0548625 + 0.381577i
\(315\) −1953.02 2253.91i −0.349334 0.403153i
\(316\) 1767.50 + 3870.28i 0.314651 + 0.688989i
\(317\) −158.048 + 46.4071i −0.0280027 + 0.00822234i −0.295704 0.955280i \(-0.595554\pi\)
0.267701 + 0.963502i \(0.413736\pi\)
\(318\) 998.005 2185.33i 0.175992 0.385368i
\(319\) −453.615 + 3154.96i −0.0796162 + 0.553743i
\(320\) 269.201 173.005i 0.0470275 0.0302227i
\(321\) 10308.1 1.79233
\(322\) −2049.06 3456.41i −0.354626 0.598192i
\(323\) 2508.80 0.432177
\(324\) −1819.68 + 1169.43i −0.312016 + 0.200520i
\(325\) 324.773 2258.84i 0.0554312 0.385533i
\(326\) 2513.94 5504.77i 0.427099 0.935217i
\(327\) 4344.43 1275.64i 0.734701 0.215728i
\(328\) 753.460 + 1649.85i 0.126838 + 0.277736i
\(329\) 4198.60 + 4845.44i 0.703575 + 0.811969i
\(330\) 132.726 + 923.128i 0.0221403 + 0.153990i
\(331\) 5427.42 + 1593.63i 0.901262 + 0.264634i 0.699359 0.714771i \(-0.253469\pi\)
0.201904 + 0.979405i \(0.435287\pi\)
\(332\) 601.106 693.714i 0.0993674 0.114676i
\(333\) −5306.54 3410.31i −0.873263 0.561212i
\(334\) −1272.24 817.620i −0.208425 0.133947i
\(335\) −2391.68 + 2760.15i −0.390064 + 0.450158i
\(336\) −2161.35 634.631i −0.350927 0.103042i
\(337\) −1342.70 9338.68i −0.217037 1.50953i −0.748893 0.662691i \(-0.769414\pi\)
0.531856 0.846835i \(-0.321495\pi\)
\(338\) 8035.89 + 9273.91i 1.29318 + 1.49241i
\(339\) 4549.27 + 9961.51i 0.728857 + 1.59597i
\(340\) 1086.38 318.989i 0.173285 0.0508812i
\(341\) 737.641 1615.21i 0.117142 0.256506i
\(342\) −413.069 + 2872.96i −0.0653106 + 0.454245i
\(343\) −5428.06 + 3488.40i −0.854484 + 0.549143i
\(344\) 3123.80 0.489605
\(345\) −2432.62 + 3500.89i −0.379617 + 0.546323i
\(346\) −6171.84 −0.958960
\(347\) −601.174 + 386.351i −0.0930050 + 0.0597707i −0.586317 0.810082i \(-0.699423\pi\)
0.493312 + 0.869853i \(0.335786\pi\)
\(348\) −1162.43 + 8084.86i −0.179059 + 1.24538i
\(349\) −2572.12 + 5632.17i −0.394506 + 0.863848i 0.603292 + 0.797521i \(0.293855\pi\)
−0.997798 + 0.0663275i \(0.978872\pi\)
\(350\) 873.804 256.572i 0.133448 0.0391839i
\(351\) −1684.82 3689.24i −0.256208 0.561017i
\(352\) 252.838 + 291.791i 0.0382850 + 0.0441832i
\(353\) 176.571 + 1228.08i 0.0266231 + 0.185168i 0.998794 0.0491071i \(-0.0156376\pi\)
−0.972170 + 0.234275i \(0.924728\pi\)
\(354\) −1172.89 344.392i −0.176097 0.0517068i
\(355\) −1492.67 + 1722.63i −0.223162 + 0.257543i
\(356\) −4308.08 2768.63i −0.641370 0.412184i
\(357\) −6705.01 4309.05i −0.994025 0.638821i
\(358\) −3809.06 + 4395.89i −0.562332 + 0.648966i
\(359\) 2774.40 + 814.637i 0.407875 + 0.119763i 0.479233 0.877688i \(-0.340915\pi\)
−0.0713577 + 0.997451i \(0.522733\pi\)
\(360\) 186.421 + 1296.59i 0.0272924 + 0.189823i
\(361\) 3205.62 + 3699.49i 0.467360 + 0.539362i
\(362\) 2808.38 + 6149.49i 0.407749 + 0.892846i
\(363\) 8791.80 2581.50i 1.27121 0.373261i
\(364\) −2762.70 + 6049.47i −0.397816 + 0.871095i
\(365\) −759.371 + 5281.54i −0.108897 + 0.757393i
\(366\) 4410.67 2834.56i 0.629916 0.404823i
\(367\) 10609.9 1.50908 0.754538 0.656257i \(-0.227861\pi\)
0.754538 + 0.656257i \(0.227861\pi\)
\(368\) −63.6422 + 1763.72i −0.00901517 + 0.249837i
\(369\) −7424.60 −1.04745
\(370\) 1620.41 1041.38i 0.227679 0.146321i
\(371\) 402.820 2801.68i 0.0563703 0.392064i
\(372\) 1890.27 4139.11i 0.263456 0.576889i
\(373\) −5082.47 + 1492.35i −0.705524 + 0.207160i −0.614763 0.788712i \(-0.710748\pi\)
−0.0907612 + 0.995873i \(0.528930\pi\)
\(374\) 567.497 + 1242.65i 0.0784615 + 0.171807i
\(375\) −632.733 730.213i −0.0871312 0.100555i
\(376\) −400.768 2787.40i −0.0549681 0.382312i
\(377\) 23138.0 + 6793.92i 3.16092 + 0.928129i
\(378\) 1059.89 1223.18i 0.144220 0.166439i
\(379\) −11908.1 7652.87i −1.61393 1.03721i −0.959747 0.280867i \(-0.909378\pi\)
−0.654179 0.756340i \(-0.726986\pi\)
\(380\) −745.614 479.177i −0.100656 0.0646876i
\(381\) 4758.54 5491.65i 0.639862 0.738440i
\(382\) −6235.57 1830.93i −0.835182 0.245232i
\(383\) −1458.62 10144.9i −0.194600 1.35347i −0.819640 0.572879i \(-0.805826\pi\)
0.625040 0.780593i \(-0.285083\pi\)
\(384\) 647.919 + 747.738i 0.0861041 + 0.0993694i
\(385\) 456.455 + 999.497i 0.0604236 + 0.132309i
\(386\) −7848.00 + 2304.38i −1.03485 + 0.303860i
\(387\) −5312.04 + 11631.7i −0.697742 + 1.52784i
\(388\) −380.052 + 2643.32i −0.0497273 + 0.345861i
\(389\) −5514.92 + 3544.22i −0.718811 + 0.461952i −0.848223 0.529639i \(-0.822327\pi\)
0.129412 + 0.991591i \(0.458691\pi\)
\(390\) 7055.88 0.916124
\(391\) −1974.21 + 5924.25i −0.255345 + 0.766246i
\(392\) 90.0370 0.0116009
\(393\) −304.567 + 195.733i −0.0390925 + 0.0251232i
\(394\) 312.447 2173.11i 0.0399514 0.277868i
\(395\) 2209.37 4837.85i 0.281432 0.616250i
\(396\) −1516.46 + 445.272i −0.192437 + 0.0565045i
\(397\) −145.202 317.947i −0.0183563 0.0401947i 0.900232 0.435411i \(-0.143397\pi\)
−0.918588 + 0.395216i \(0.870670\pi\)
\(398\) −2709.90 3127.39i −0.341294 0.393874i
\(399\) 887.916 + 6175.59i 0.111407 + 0.774853i
\(400\) −383.797 112.693i −0.0479746 0.0140866i
\(401\) −4518.98 + 5215.18i −0.562760 + 0.649460i −0.963808 0.266597i \(-0.914101\pi\)
0.401048 + 0.916057i \(0.368646\pi\)
\(402\) −9499.56 6104.99i −1.17859 0.757436i
\(403\) −11301.5 7263.03i −1.39694 0.897760i
\(404\) 2151.81 2483.32i 0.264992 0.305817i
\(405\) 2594.29 + 761.753i 0.318300 + 0.0934612i
\(406\) 1369.55 + 9525.40i 0.167412 + 1.16438i
\(407\) 1521.92 + 1756.39i 0.185353 + 0.213909i
\(408\) 1454.26 + 3184.39i 0.176462 + 0.386399i
\(409\) 6222.48 1827.08i 0.752278 0.220889i 0.116957 0.993137i \(-0.462686\pi\)
0.635321 + 0.772248i \(0.280868\pi\)
\(410\) 941.824 2062.31i 0.113447 0.248415i
\(411\) 1361.48 9469.31i 0.163399 1.13646i
\(412\) −2986.89 + 1919.56i −0.357169 + 0.229538i
\(413\) −1440.21 −0.171594
\(414\) −6459.13 3236.19i −0.766784 0.384178i
\(415\) −1147.39 −0.135719
\(416\) 2457.35 1579.24i 0.289619 0.186127i
\(417\) 726.024 5049.61i 0.0852603 0.592999i
\(418\) 444.235 972.739i 0.0519815 0.113824i
\(419\) −11877.4 + 3487.51i −1.38484 + 0.406625i −0.887450 0.460904i \(-0.847525\pi\)
−0.497387 + 0.867529i \(0.665707\pi\)
\(420\) 1169.71 + 2561.30i 0.135895 + 0.297568i
\(421\) 4252.93 + 4908.14i 0.492340 + 0.568190i 0.946489 0.322735i \(-0.104602\pi\)
−0.454150 + 0.890925i \(0.650057\pi\)
\(422\) −1480.41 10296.5i −0.170771 1.18774i
\(423\) 11060.6 + 3247.69i 1.27136 + 0.373306i
\(424\) −814.137 + 939.565i −0.0932500 + 0.107616i
\(425\) −1190.63 765.169i −0.135891 0.0873321i
\(426\) −5928.74 3810.17i −0.674292 0.433341i
\(427\) 4045.17 4668.38i 0.458453 0.529083i
\(428\) −5118.19 1502.84i −0.578031 0.169725i
\(429\) 1211.56 + 8426.58i 0.136351 + 0.948343i
\(430\) −2557.07 2951.02i −0.286774 0.330955i
\(431\) −1226.71 2686.11i −0.137096 0.300198i 0.828615 0.559820i \(-0.189130\pi\)
−0.965711 + 0.259621i \(0.916402\pi\)
\(432\) −682.092 + 200.280i −0.0759657 + 0.0223055i
\(433\) 5100.59 11168.7i 0.566094 1.23957i −0.382757 0.923849i \(-0.625025\pi\)
0.948851 0.315724i \(-0.102247\pi\)
\(434\) 762.960 5306.51i 0.0843854 0.586913i
\(435\) 8589.20 5519.94i 0.946714 0.608416i
\(436\) −2343.09 −0.257371
\(437\) 4516.80 1868.97i 0.494434 0.204588i
\(438\) −16497.8 −1.79976
\(439\) 6363.52 4089.59i 0.691832 0.444613i −0.146905 0.989151i \(-0.546931\pi\)
0.838737 + 0.544537i \(0.183295\pi\)
\(440\) 68.6837 477.705i 0.00744174 0.0517584i
\(441\) −153.108 + 335.260i −0.0165326 + 0.0362013i
\(442\) 9916.76 2911.82i 1.06718 0.313351i
\(443\) 774.779 + 1696.53i 0.0830945 + 0.181952i 0.946618 0.322356i \(-0.104475\pi\)
−0.863524 + 0.504308i \(0.831748\pi\)
\(444\) 3900.05 + 4500.89i 0.416865 + 0.481088i
\(445\) 910.997 + 6336.12i 0.0970458 + 0.674969i
\(446\) −5582.16 1639.07i −0.592653 0.174019i
\(447\) 7016.64 8097.64i 0.742452 0.856835i
\(448\) 980.639 + 630.219i 0.103417 + 0.0664621i
\(449\) 10053.9 + 6461.27i 1.05674 + 0.679123i 0.949070 0.315064i \(-0.102026\pi\)
0.107665 + 0.994187i \(0.465662\pi\)
\(450\) 1072.27 1237.47i 0.112327 0.129633i
\(451\) 2624.66 + 770.670i 0.274036 + 0.0804643i
\(452\) −806.506 5609.38i −0.0839267 0.583723i
\(453\) 9914.41 + 11441.8i 1.02830 + 1.18672i
\(454\) −1468.04 3214.56i −0.151759 0.332306i
\(455\) 7976.34 2342.07i 0.821839 0.241314i
\(456\) 1138.39 2492.73i 0.116908 0.255993i
\(457\) 505.563 3516.27i 0.0517488 0.359921i −0.947450 0.319904i \(-0.896350\pi\)
0.999199 0.0400176i \(-0.0127414\pi\)
\(458\) 3991.38 2565.10i 0.407216 0.261702i
\(459\) −2515.30 −0.255782
\(460\) 1718.26 1383.62i 0.174161 0.140242i
\(461\) 10497.7 1.06058 0.530291 0.847816i \(-0.322083\pi\)
0.530291 + 0.847816i \(0.322083\pi\)
\(462\) −2858.02 + 1836.73i −0.287807 + 0.184962i
\(463\) −1412.30 + 9822.75i −0.141760 + 0.985965i 0.787441 + 0.616390i \(0.211406\pi\)
−0.929201 + 0.369575i \(0.879503\pi\)
\(464\) 1755.88 3844.85i 0.175679 0.384683i
\(465\) −5457.49 + 1602.46i −0.544269 + 0.159812i
\(466\) −419.131 917.768i −0.0416649 0.0912334i
\(467\) −11048.5 12750.6i −1.09478 1.26344i −0.962221 0.272270i \(-0.912226\pi\)
−0.132560 0.991175i \(-0.542320\pi\)
\(468\) 1701.71 + 11835.6i 0.168080 + 1.16902i
\(469\) −12765.2 3748.21i −1.25681 0.369033i
\(470\) −2305.16 + 2660.30i −0.226232 + 0.261086i
\(471\) 6973.95 + 4481.88i 0.682256 + 0.438459i
\(472\) 532.158 + 341.997i 0.0518953 + 0.0333511i
\(473\) 3085.22 3560.53i 0.299912 0.346117i
\(474\) 15777.9 + 4632.82i 1.52891 + 0.448930i
\(475\) 157.669 + 1096.61i 0.0152303 + 0.105929i
\(476\) 2700.97 + 3117.09i 0.260081 + 0.300150i
\(477\) −2114.10 4629.24i −0.202931 0.444357i
\(478\) 3682.93 1081.41i 0.352413 0.103478i
\(479\) 1907.16 4176.10i 0.181921 0.398352i −0.796597 0.604510i \(-0.793369\pi\)
0.978519 + 0.206158i \(0.0660961\pi\)
\(480\) 176.008 1224.16i 0.0167367 0.116406i
\(481\) 14791.6 9505.99i 1.40216 0.901114i
\(482\) 1503.80 0.142108
\(483\) −15281.7 2762.94i −1.43963 0.260286i
\(484\) −4741.70 −0.445314
\(485\) 2808.21 1804.73i 0.262916 0.168966i
\(486\) −1531.18 + 10649.6i −0.142913 + 0.993982i
\(487\) −4186.44 + 9167.01i −0.389539 + 0.852971i 0.608686 + 0.793411i \(0.291697\pi\)
−0.998225 + 0.0595600i \(0.981030\pi\)
\(488\) −2603.26 + 764.386i −0.241484 + 0.0709060i
\(489\) −9715.99 21275.1i −0.898512 1.96747i
\(490\) −73.7021 85.0568i −0.00679494 0.00784178i
\(491\) 700.621 + 4872.93i 0.0643963 + 0.447886i 0.996354 + 0.0853184i \(0.0271907\pi\)
−0.931957 + 0.362568i \(0.881900\pi\)
\(492\) 6725.92 + 1974.91i 0.616316 + 0.180967i
\(493\) 9793.80 11302.6i 0.894707 1.03255i
\(494\) −6806.18 4374.07i −0.619888 0.398378i
\(495\) 1661.98 + 1068.09i 0.150910 + 0.0969839i
\(496\) −1542.01 + 1779.58i −0.139594 + 0.161100i
\(497\) −7966.88 2339.29i −0.719041 0.211129i
\(498\) −504.875 3511.49i −0.0454297 0.315971i
\(499\) −2651.53 3060.02i −0.237873 0.274520i 0.624244 0.781229i \(-0.285407\pi\)
−0.862117 + 0.506709i \(0.830862\pi\)
\(500\) 207.708 + 454.816i 0.0185779 + 0.0406800i
\(501\) −5608.11 + 1646.69i −0.500103 + 0.146844i
\(502\) −613.543 + 1343.47i −0.0545493 + 0.119446i
\(503\) −1412.61 + 9824.91i −0.125219 + 0.870916i 0.826279 + 0.563261i \(0.190453\pi\)
−0.951498 + 0.307655i \(0.900456\pi\)
\(504\) −4014.25 + 2579.80i −0.354780 + 0.228003i
\(505\) −4107.38 −0.361933
\(506\) 1947.44 + 1814.47i 0.171096 + 0.159413i
\(507\) 47426.0 4.15437
\(508\) −3163.37 + 2032.97i −0.276283 + 0.177556i
\(509\) 2682.88 18659.8i 0.233628 1.62492i −0.448570 0.893748i \(-0.648066\pi\)
0.682197 0.731168i \(-0.261024\pi\)
\(510\) 1817.83 3980.48i 0.157833 0.345605i
\(511\) −18650.0 + 5476.13i −1.61453 + 0.474070i
\(512\) −212.692 465.732i −0.0183589 0.0402004i
\(513\) 1289.40 + 1488.05i 0.110972 + 0.128068i
\(514\) −1099.08 7644.29i −0.0943161 0.655983i
\(515\) 4258.38 + 1250.37i 0.364362 + 0.106986i
\(516\) 7906.14 9124.17i 0.674512 0.778429i
\(517\) −3572.92 2296.17i −0.303940 0.195330i
\(518\) 5902.81 + 3793.50i 0.500684 + 0.321770i
\(519\) −15620.5 + 18027.0i −1.32113 + 1.52466i
\(520\) −3503.41 1028.69i −0.295452 0.0867524i
\(521\) 2110.88 + 14681.5i 0.177503 + 1.23456i 0.862516 + 0.506030i \(0.168888\pi\)
−0.685013 + 0.728531i \(0.740203\pi\)
\(522\) 11330.7 + 13076.4i 0.950063 + 1.09643i
\(523\) 8335.63 + 18252.5i 0.696925 + 1.52605i 0.843661 + 0.536876i \(0.180396\pi\)
−0.146736 + 0.989176i \(0.546877\pi\)
\(524\) 179.761 52.7826i 0.0149864 0.00440042i
\(525\) 1462.13 3201.62i 0.121548 0.266153i
\(526\) 298.006 2072.68i 0.0247028 0.171812i
\(527\) −7008.98 + 4504.39i −0.579347 + 0.372324i
\(528\) 1492.19 0.122991
\(529\) 859.038 + 12136.6i 0.0706039 + 0.997504i
\(530\) 1554.03 0.127363
\(531\) −2178.39 + 1399.97i −0.178030 + 0.114413i
\(532\) 459.483 3195.78i 0.0374457 0.260441i
\(533\) 8597.25 18825.3i 0.698664 1.52986i
\(534\) −18990.2 + 5576.04i −1.53893 + 0.451870i
\(535\) 2769.92 + 6065.28i 0.223839 + 0.490140i
\(536\) 3826.69 + 4416.24i 0.308373 + 0.355881i
\(537\) 3199.27 + 22251.4i 0.257092 + 1.78812i
\(538\) −12825.8 3766.00i −1.02781 0.301791i
\(539\) 88.9249 102.625i 0.00710624 0.00820104i
\(540\) 747.547 + 480.419i 0.0595728 + 0.0382851i
\(541\) 17257.7 + 11090.9i 1.37148 + 0.881394i 0.998913 0.0466136i \(-0.0148429\pi\)
0.372562 + 0.928007i \(0.378479\pi\)
\(542\) −591.960 + 683.158i −0.0469130 + 0.0541405i
\(543\) 25069.6 + 7361.10i 1.98129 + 0.581758i
\(544\) −257.815 1793.14i −0.0203194 0.141324i
\(545\) 1918.00 + 2213.49i 0.150748 + 0.173973i
\(546\) 10677.4 + 23380.3i 0.836907 + 1.83257i
\(547\) −7403.91 + 2173.99i −0.578736 + 0.169932i −0.557983 0.829852i \(-0.688425\pi\)
−0.0207530 + 0.999785i \(0.506606\pi\)
\(548\) −2056.56 + 4503.24i −0.160314 + 0.351038i
\(549\) 1580.60 10993.3i 0.122875 0.854613i
\(550\) −507.505 + 326.154i −0.0393456 + 0.0252859i
\(551\) −11707.1 −0.905157
\(552\) 4990.49 + 4649.74i 0.384799 + 0.358526i
\(553\) 19374.0 1.48981
\(554\) 10765.4 6918.53i 0.825595 0.530578i
\(555\) 1059.45 7368.65i 0.0810292 0.563571i
\(556\) −1096.68 + 2401.40i −0.0836506 + 0.183169i
\(557\) −8306.93 + 2439.13i −0.631914 + 0.185547i −0.581976 0.813206i \(-0.697720\pi\)
−0.0499374 + 0.998752i \(0.515902\pi\)
\(558\) −4004.21 8768.00i −0.303784 0.665195i
\(559\) −23341.7 26937.7i −1.76610 2.03818i
\(560\) −207.368 1442.28i −0.0156481 0.108835i
\(561\) 5065.88 + 1487.48i 0.381251 + 0.111945i
\(562\) 7918.46 9138.39i 0.594341 0.685907i
\(563\) 561.824 + 361.063i 0.0420570 + 0.0270284i 0.561500 0.827476i \(-0.310224\pi\)
−0.519443 + 0.854505i \(0.673861\pi\)
\(564\) −9155.91 5884.14i −0.683570 0.439304i
\(565\) −4638.92 + 5353.60i −0.345417 + 0.398633i
\(566\) 6832.31 + 2006.15i 0.507391 + 0.148983i
\(567\) 1401.71 + 9749.14i 0.103821 + 0.722091i
\(568\) 2388.27 + 2756.21i 0.176425 + 0.203605i
\(569\) −9387.81 20556.4i −0.691665 1.51453i −0.849793 0.527116i \(-0.823273\pi\)
0.158128 0.987419i \(-0.449454\pi\)
\(570\) −3286.71 + 965.064i −0.241518 + 0.0709159i
\(571\) 8833.70 19343.1i 0.647423 1.41766i −0.246368 0.969176i \(-0.579237\pi\)
0.893791 0.448483i \(-0.148036\pi\)
\(572\) 626.965 4360.63i 0.0458299 0.318754i
\(573\) −21129.7 + 13579.2i −1.54050 + 0.990018i
\(574\) 8258.86 0.600554
\(575\) −2713.61 490.621i −0.196809 0.0355832i
\(576\) 2095.87 0.151611
\(577\) 12068.1 7755.67i 0.870711 0.559572i −0.0272593 0.999628i \(-0.508678\pi\)
0.897970 + 0.440057i \(0.145042\pi\)
\(578\) −486.171 + 3381.40i −0.0349863 + 0.243335i
\(579\) −13132.0 + 28755.1i −0.942569 + 2.06394i
\(580\) −5069.51 + 1488.54i −0.362931 + 0.106566i
\(581\) −1736.31 3801.99i −0.123983 0.271485i
\(582\) 6758.86 + 7800.14i 0.481381 + 0.555543i
\(583\) 266.841 + 1855.92i 0.0189561 + 0.131843i
\(584\) 8191.54 + 2405.25i 0.580426 + 0.170428i
\(585\) 9787.99 11295.9i 0.691767 0.798342i
\(586\) 14436.9 + 9278.01i 1.01772 + 0.654046i
\(587\) 2124.37 + 1365.25i 0.149373 + 0.0959965i 0.613193 0.789933i \(-0.289885\pi\)
−0.463819 + 0.885930i \(0.653521\pi\)
\(588\) 227.878 262.985i 0.0159822 0.0184444i
\(589\) 6257.75 + 1837.44i 0.437769 + 0.128541i
\(590\) −112.531 782.674i −0.00785228 0.0546138i
\(591\) −5556.57 6412.62i −0.386745 0.446328i
\(592\) −1280.27 2803.40i −0.0888830 0.194627i
\(593\) −16153.0 + 4742.95i −1.11859 + 0.328448i −0.788214 0.615401i \(-0.788994\pi\)
−0.330377 + 0.943849i \(0.607176\pi\)
\(594\) −445.386 + 975.260i −0.0307650 + 0.0673660i
\(595\) 733.721 5103.14i 0.0505540 0.351611i
\(596\) −4664.50 + 2997.69i −0.320580 + 0.206024i
\(597\) −15993.2 −1.09641
\(598\) 15684.8 12630.0i 1.07257 0.863680i
\(599\) −19645.2 −1.34004 −0.670018 0.742345i \(-0.733714\pi\)
−0.670018 + 0.742345i \(0.733714\pi\)
\(600\) −1300.53 + 835.797i −0.0884895 + 0.0568688i
\(601\) 2745.43 19094.9i 0.186337 1.29600i −0.655058 0.755579i \(-0.727356\pi\)
0.841394 0.540421i \(-0.181735\pi\)
\(602\) 5908.92 12938.7i 0.400049 0.875986i
\(603\) −22951.5 + 6739.18i −1.55001 + 0.455125i
\(604\) −3254.60 7126.59i −0.219252 0.480094i
\(605\) 3881.44 + 4479.42i 0.260831 + 0.301016i
\(606\) −1807.33 12570.3i −0.121151 0.842627i
\(607\) 13328.4 + 3913.58i 0.891244 + 0.261693i 0.695126 0.718888i \(-0.255348\pi\)
0.196117 + 0.980580i \(0.437167\pi\)
\(608\) −928.659 + 1071.73i −0.0619442 + 0.0714875i
\(609\) 31288.5 + 20107.9i 2.08190 + 1.33795i
\(610\) 2853.07 + 1833.56i 0.189373 + 0.121703i
\(611\) −21042.2 + 24284.0i −1.39325 + 1.60790i
\(612\) 7115.34 + 2089.25i 0.469968 + 0.137995i
\(613\) 3358.83 + 23361.2i 0.221308 + 1.53923i 0.733099 + 0.680122i \(0.238073\pi\)
−0.511790 + 0.859110i \(0.671018\pi\)
\(614\) 5076.19 + 5858.24i 0.333646 + 0.385048i
\(615\) −3640.00 7970.50i −0.238665 0.522604i
\(616\) 1686.85 495.305i 0.110333 0.0323968i
\(617\) −6501.64 + 14236.6i −0.424224 + 0.928921i 0.570005 + 0.821641i \(0.306941\pi\)
−0.994229 + 0.107279i \(0.965786\pi\)
\(618\) −1952.87 + 13582.5i −0.127113 + 0.884093i
\(619\) −7115.26 + 4572.70i −0.462014 + 0.296918i −0.750865 0.660456i \(-0.770363\pi\)
0.288851 + 0.957374i \(0.406727\pi\)
\(620\) 2943.40 0.190661
\(621\) −4528.50 + 1873.81i −0.292629 + 0.121085i
\(622\) −942.448 −0.0607536
\(623\) −19616.7 + 12606.9i −1.26152 + 0.810730i
\(624\) 1606.65 11174.5i 0.103073 0.716888i
\(625\) 259.634 568.520i 0.0166166 0.0363853i
\(626\) 10489.0 3079.84i 0.669686 0.196638i
\(627\) −1716.90 3759.48i −0.109356 0.239457i
\(628\) −2809.30 3242.11i −0.178509 0.206010i
\(629\) −1551.88 10793.6i −0.0983743 0.684208i
\(630\) 5723.08 + 1680.45i 0.361925 + 0.106271i
\(631\) 3311.92 3822.16i 0.208947 0.241138i −0.641597 0.767042i \(-0.721728\pi\)
0.850544 + 0.525905i \(0.176273\pi\)
\(632\) −7158.69 4600.61i −0.450566 0.289561i
\(633\) −33821.3 21735.6i −2.12366 1.36479i
\(634\) 215.738 248.975i 0.0135143 0.0155963i
\(635\) 4509.98 + 1324.25i 0.281847 + 0.0827579i
\(636\) 683.803 + 4755.95i 0.0426329 + 0.296518i
\(637\) −672.774 776.423i −0.0418466 0.0482936i
\(638\) −2648.19 5798.73i −0.164331 0.359834i
\(639\) −14324.2 + 4205.97i −0.886788 + 0.260384i
\(640\) −265.866 + 582.164i −0.0164207 + 0.0359564i
\(641\) 1818.21 12646.0i 0.112036 0.779228i −0.853898 0.520440i \(-0.825768\pi\)
0.965934 0.258788i \(-0.0833231\pi\)
\(642\) −17343.4 + 11145.9i −1.06618 + 0.685193i
\(643\) 5715.57 0.350544 0.175272 0.984520i \(-0.443919\pi\)
0.175272 + 0.984520i \(0.443919\pi\)
\(644\) 7184.90 + 3599.82i 0.439635 + 0.220268i
\(645\) −15091.3 −0.921268
\(646\) −4221.07 + 2712.72i −0.257083 + 0.165217i
\(647\) 3028.84 21066.0i 0.184043 1.28005i −0.663039 0.748585i \(-0.730734\pi\)
0.847082 0.531462i \(-0.178357\pi\)
\(648\) 1797.13 3935.16i 0.108947 0.238561i
\(649\) 915.396 268.784i 0.0553658 0.0162569i
\(650\) 1896.01 + 4151.69i 0.114412 + 0.250527i
\(651\) −13568.5 15658.9i −0.816885 0.942736i
\(652\) 1722.48 + 11980.1i 0.103462 + 0.719596i
\(653\) 3016.08 + 885.602i 0.180748 + 0.0530724i 0.370854 0.928691i \(-0.379065\pi\)
−0.190106 + 0.981764i \(0.560883\pi\)
\(654\) −5930.20 + 6843.82i −0.354571 + 0.409196i
\(655\) −197.011 126.611i −0.0117525 0.00755285i
\(656\) −3051.65 1961.18i −0.181626 0.116724i
\(657\) −22885.9 + 26411.7i −1.35900 + 1.56837i
\(658\) −12303.5 3612.62i −0.728934 0.214034i
\(659\) −2524.91 17561.1i −0.149251 1.03806i −0.917450 0.397852i \(-0.869756\pi\)
0.768199 0.640212i \(-0.221153\pi\)
\(660\) −1221.47 1409.66i −0.0720391 0.0831375i
\(661\) 6271.49 + 13732.7i 0.369036 + 0.808076i 0.999493 + 0.0318516i \(0.0101404\pi\)
−0.630457 + 0.776224i \(0.717132\pi\)
\(662\) −10854.8 + 3187.27i −0.637289 + 0.187125i
\(663\) 16593.6 36335.0i 0.972012 2.12841i
\(664\) −261.266 + 1817.14i −0.0152697 + 0.106203i
\(665\) −3395.13 + 2181.92i −0.197981 + 0.127235i
\(666\) 12615.8 0.734012
\(667\) 9212.50 27645.1i 0.534797 1.60483i
\(668\) 3024.63 0.175189
\(669\) −18915.6 + 12156.3i −1.09315 + 0.702526i
\(670\) 1039.52 7230.05i 0.0599408 0.416898i
\(671\) −1699.85 + 3722.16i −0.0977974 + 0.214146i
\(672\) 4322.71 1269.26i 0.248143 0.0728614i
\(673\) −3939.97 8627.32i −0.225668 0.494144i 0.762601 0.646870i \(-0.223922\pi\)
−0.988269 + 0.152726i \(0.951195\pi\)
\(674\) 12356.8 + 14260.6i 0.706184 + 0.814979i
\(675\) −158.078 1099.46i −0.00901397 0.0626935i
\(676\) −23548.1 6914.36i −1.33979 0.393398i
\(677\) 461.049 532.079i 0.0261737 0.0302060i −0.742512 0.669833i \(-0.766366\pi\)
0.768685 + 0.639627i \(0.220911\pi\)
\(678\) −18425.4 11841.3i −1.04369 0.670739i
\(679\) 10229.7 + 6574.22i 0.578172 + 0.371569i
\(680\) −1482.92 + 1711.38i −0.0836284 + 0.0965123i
\(681\) −13104.8 3847.91i −0.737410 0.216523i
\(682\) 505.409 + 3515.20i 0.0283770 + 0.197366i
\(683\) −3607.37 4163.12i −0.202097 0.233232i 0.645650 0.763634i \(-0.276587\pi\)
−0.847746 + 0.530402i \(0.822041\pi\)
\(684\) −2411.49 5280.42i −0.134803 0.295178i
\(685\) 5937.60 1743.44i 0.331189 0.0972458i
\(686\) 5360.81 11738.5i 0.298362 0.653322i
\(687\) 2609.63 18150.3i 0.144925 1.00798i
\(688\) −5255.82 + 3377.71i −0.291245 + 0.187172i
\(689\) 14185.6 0.784367
\(690\) 307.459 8520.62i 0.0169634 0.470108i
\(691\) 9859.68 0.542807 0.271404 0.962466i \(-0.412512\pi\)
0.271404 + 0.962466i \(0.412512\pi\)
\(692\) 10384.2 6673.50i 0.570443 0.366601i
\(693\) −1024.19 + 7123.41i −0.0561412 + 0.390470i
\(694\) 593.726 1300.08i 0.0324748 0.0711099i
\(695\) 3166.29 929.707i 0.172812 0.0507422i
\(696\) −6786.22 14859.7i −0.369585 0.809277i
\(697\) −8405.14 9700.05i −0.456768 0.527139i
\(698\) −1762.34 12257.4i −0.0955668 0.664681i
\(699\) −3741.46 1098.59i −0.202453 0.0594457i
\(700\) −1192.76 + 1376.51i −0.0644027 + 0.0743247i
\(701\) −4203.63 2701.51i −0.226489 0.145556i 0.422475 0.906374i \(-0.361161\pi\)
−0.648965 + 0.760819i \(0.724798\pi\)
\(702\) 6823.82 + 4385.41i 0.366878 + 0.235778i
\(703\) −5589.92 + 6451.11i −0.299897 + 0.346100i
\(704\) −740.909 217.551i −0.0396649 0.0116467i
\(705\) 1936.13 + 13466.1i 0.103431 + 0.719379i
\(706\) −1624.98 1875.33i −0.0866248 0.0999704i
\(707\) −6215.56 13610.2i −0.330637 0.723993i
\(708\) 2345.78 688.783i 0.124520 0.0365622i
\(709\) 5018.53 10989.0i 0.265832 0.582090i −0.728898 0.684622i \(-0.759967\pi\)
0.994730 + 0.102532i \(0.0326944\pi\)
\(710\) 648.775 4512.33i 0.0342931 0.238514i
\(711\) 29304.1 18832.6i 1.54570 0.993360i
\(712\) 10242.0 0.539097
\(713\) −9263.22 + 13331.1i −0.486550 + 0.700215i
\(714\) 15940.5 0.835517
\(715\) −4632.65 + 2977.23i −0.242310 + 0.155723i
\(716\) 1655.58 11514.8i 0.0864131 0.601016i
\(717\) 6162.63 13494.3i 0.320987 0.702863i
\(718\) −5548.80 + 1629.27i −0.288411 + 0.0846852i
\(719\) −11979.3 26231.0i −0.621352 1.36057i −0.914532 0.404514i \(-0.867441\pi\)
0.293180 0.956057i \(-0.405287\pi\)
\(720\) −1715.63 1979.95i −0.0888026 0.102484i
\(721\) 2300.83 + 16002.6i 0.118845 + 0.826587i
\(722\) −9393.67 2758.23i −0.484205 0.142175i
\(723\) 3806.01 4392.37i 0.195777 0.225939i
\(724\) −11374.5 7309.92i −0.583879 0.375236i
\(725\) 5555.98 + 3570.61i 0.284612 + 0.182909i
\(726\) −12000.9 + 13849.8i −0.613493 + 0.708009i
\(727\) 1452.50 + 426.492i 0.0740993 + 0.0217575i 0.318572 0.947899i \(-0.396797\pi\)
−0.244473 + 0.969656i \(0.578615\pi\)
\(728\) −1892.92 13165.5i −0.0963685 0.670258i
\(729\) 17669.2 + 20391.4i 0.897689 + 1.03599i
\(730\) −4433.19 9707.33i −0.224767 0.492170i
\(731\) −21210.1 + 6227.86i −1.07317 + 0.315110i
\(732\) −4356.02 + 9538.35i −0.219950 + 0.481622i
\(733\) −1785.29 + 12416.9i −0.0899605 + 0.625689i 0.894102 + 0.447864i \(0.147815\pi\)
−0.984062 + 0.177825i \(0.943094\pi\)
\(734\) −17851.2 + 11472.3i −0.897683 + 0.576906i
\(735\) −434.973 −0.0218289
\(736\) −1800.00 3036.28i −0.0901478 0.152064i
\(737\) 8813.09 0.440481
\(738\) 12491.9 8028.08i 0.623082 0.400431i
\(739\) −4713.39 + 32782.4i −0.234621 + 1.63183i 0.443076 + 0.896484i \(0.353887\pi\)
−0.677697 + 0.735341i \(0.737022\pi\)
\(740\) −1600.34 + 3504.25i −0.0794994 + 0.174079i
\(741\) −30002.0 + 8809.39i −1.48738 + 0.436735i
\(742\) 2351.65 + 5149.40i 0.116350 + 0.254772i
\(743\) 16003.7 + 18469.3i 0.790201 + 0.911940i 0.997802 0.0662733i \(-0.0211109\pi\)
−0.207601 + 0.978214i \(0.566565\pi\)
\(744\) 1295.15 + 9007.99i 0.0638208 + 0.443883i
\(745\) 6650.13 + 1952.66i 0.327036 + 0.0960265i
\(746\) 6937.65 8006.47i 0.340490 0.392946i
\(747\) −6322.00 4062.90i −0.309652 0.199001i
\(748\) −2298.47 1477.14i −0.112353 0.0722051i
\(749\) −15906.2 + 18356.7i −0.775968 + 0.895514i
\(750\) 1854.14 + 544.426i 0.0902717 + 0.0265062i
\(751\) −725.900 5048.75i −0.0352709 0.245315i 0.964557 0.263875i \(-0.0850007\pi\)
−0.999828 + 0.0185606i \(0.994092\pi\)
\(752\) 3688.26 + 4256.48i 0.178852 + 0.206407i
\(753\) 2371.25 + 5192.31i 0.114758 + 0.251286i
\(754\) −46275.9 + 13587.8i −2.23511 + 0.656286i
\(755\) −4068.25 + 8908.23i −0.196105 + 0.429409i
\(756\) −460.674 + 3204.06i −0.0221621 + 0.154141i
\(757\) −21512.0 + 13824.9i −1.03285 + 0.663771i −0.943208 0.332203i \(-0.892208\pi\)
−0.0896406 + 0.995974i \(0.528572\pi\)
\(758\) 28310.4 1.35657
\(759\) 10228.7 1095.88i 0.489166 0.0524084i
\(760\) 1772.63 0.0846052
\(761\) −23229.6 + 14928.8i −1.10653 + 0.711126i −0.960535 0.278158i \(-0.910276\pi\)
−0.145999 + 0.989285i \(0.546640\pi\)
\(762\) −2068.26 + 14385.1i −0.0983269 + 0.683879i
\(763\) −4432.14 + 9705.03i −0.210294 + 0.460479i
\(764\) 12471.1 3661.86i 0.590563 0.173405i
\(765\) −3850.75 8431.98i −0.181993 0.398508i
\(766\) 13423.6 + 15491.7i 0.633179 + 0.730727i
\(767\) −1027.22 7144.47i −0.0483582 0.336339i
\(768\) −1898.64 557.492i −0.0892076 0.0261937i
\(769\) −5506.05 + 6354.33i −0.258197 + 0.297975i −0.870017 0.493022i \(-0.835892\pi\)
0.611820 + 0.790997i \(0.290438\pi\)
\(770\) −1848.73 1188.10i −0.0865240 0.0556056i
\(771\) −25109.5 16136.9i −1.17289