Properties

Label 230.4.g.b.71.1
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 71.1
Character \(\chi\) \(=\) 230.71
Dual form 230.4.g.b.81.1

$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

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

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
\(3\) −1.10005 7.65101i −0.211705 1.47244i −0.767463 0.641093i \(-0.778481\pi\)
0.555758 0.831344i \(-0.312428\pi\)
\(4\) 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 −0.980082 0.198595i \(-0.936362\pi\)
0.336054 + 0.941843i \(0.390907\pi\)
\(8\) 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 −0.394090 0.919072i \(-0.628940\pi\)
0.672306 + 0.740273i \(0.265304\pi\)
\(12\) 26.0105 16.7159i 0.625715 0.402123i
\(13\) 59.7776 + 68.9870i 1.27533 + 1.47181i 0.809712 + 0.586828i \(0.199623\pi\)
0.465621 + 0.884984i \(0.345831\pi\)
\(14\) 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 −0.999919 0.0126926i \(-0.995960\pi\)
0.664400 + 0.747377i \(0.268687\pi\)
\(18\) 62.8430 + 18.4524i 0.822902 + 0.241626i
\(19\) −18.4094 40.3109i −0.222284 0.486735i 0.765329 0.643639i \(-0.222576\pi\)
−0.987614 + 0.156904i \(0.949849\pi\)
\(20\) −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 −0.133934 0.990990i \(-0.542761\pi\)
0.836649 0.547740i \(-0.184512\pi\)
\(30\) 50.6187 58.4171i 0.308055 0.355515i
\(31\) −20.9445 + 145.672i −0.121346 + 0.843983i 0.834687 + 0.550725i \(0.185649\pi\)
−0.956033 + 0.293258i \(0.905260\pi\)
\(32\) 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 0.155956 0.987764i \(-0.450154\pi\)
0.665224 + 0.746644i \(0.268336\pi\)
\(38\) −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 0.668423 0.743782i \(-0.266970\pi\)
0.160194 + 0.987086i \(0.448788\pi\)
\(42\) −116.971 256.130i −0.429737 0.940992i
\(43\) 55.5704 + 386.501i 0.197079 + 1.37072i 0.812704 + 0.582677i \(0.197995\pi\)
−0.615624 + 0.788040i \(0.711096\pi\)
\(44\) 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 −0.608391 0.793637i \(-0.708185\pi\)
0.872142 + 0.489252i \(0.162730\pi\)
\(54\) 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 0.809998 0.586432i \(-0.199468\pi\)
−0.695738 + 0.718296i \(0.744923\pi\)
\(60\) −148.332 + 43.5541i −0.319159 + 0.0937135i
\(61\) 48.2654 335.693i 0.101307 0.704608i −0.874348 0.485299i \(-0.838711\pi\)
0.975655 0.219309i \(-0.0703803\pi\)
\(62\) 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 0.963549 0.267531i \(-0.0862077\pi\)
0.156918 + 0.987612i \(0.449844\pi\)
\(68\) −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 0.820381 0.571817i \(-0.193761\pi\)
−0.179344 + 0.983786i \(0.557398\pi\)
\(72\) 37.2843 + 259.318i 0.0610277 + 0.424457i
\(73\) 443.319 + 970.733i 0.710775 + 1.55638i 0.826398 + 0.563086i \(0.190386\pi\)
−0.115624 + 0.993293i \(0.536887\pi\)
\(74\) −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 −0.989451 0.144868i \(-0.953724\pi\)
−0.00257996 0.999997i \(-0.500821\pi\)
\(80\) 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 −0.132878 0.991132i \(-0.542422\pi\)
0.424062 + 0.905633i \(0.360604\pi\)
\(84\) −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 0.749022 + 0.662545i \(0.230524\pi\)
−0.532021 + 0.846731i \(0.678567\pi\)
\(90\) −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 −0.0712899 0.997456i \(-0.522712\pi\)
−0.599238 + 0.800571i \(0.704530\pi\)
\(98\) 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 0.130626 0.991432i \(-0.458301\pi\)
0.645898 + 0.763424i \(0.276483\pi\)
\(102\) −573.125 661.421i −0.556351 0.642063i
\(103\) −746.722 + 479.889i −0.714337 + 0.459077i −0.846663 0.532130i \(-0.821392\pi\)
0.132326 + 0.991206i \(0.457756\pi\)
\(104\) 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 0.704309 + 0.709893i \(0.251257\pi\)
−0.875780 + 0.482710i \(0.839652\pi\)
\(108\) −116.383 + 134.313i −0.103694 + 0.119670i
\(109\) −243.339 + 532.837i −0.213831 + 0.468225i −0.985905 0.167308i \(-0.946492\pi\)
0.772073 + 0.635533i \(0.219220\pi\)
\(110\) 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 0.932732 0.360570i \(-0.117418\pi\)
0.0594853 + 0.998229i \(0.481054\pi\)
\(114\) 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 −0.786936 0.617035i \(-0.788334\pi\)
0.234370 + 0.972148i \(0.424697\pi\)
\(128\) 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 −0.745429 0.666585i \(-0.767755\pi\)
0.765886 + 0.642977i \(0.222301\pi\)
\(132\) 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 −0.820426 0.571752i \(-0.806264\pi\)
0.179267 + 0.983801i \(0.442627\pi\)
\(150\) −325.131 + 208.949i −0.176979 + 0.113738i
\(151\) 1282.64 + 1480.25i 0.691257 + 0.797753i 0.987544 0.157346i \(-0.0502938\pi\)
−0.296287 + 0.955099i \(0.595748\pi\)
\(152\) −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 0.988423 0.151727i \(-0.0484833\pi\)
−0.761946 + 0.647640i \(0.775756\pi\)
\(158\) 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 −0.240361 0.970684i \(-0.577266\pi\)
−0.982814 + 0.184597i \(0.940902\pi\)
\(164\) 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 −0.822788 0.568348i \(-0.807583\pi\)
0.968341 + 0.249633i \(0.0803098\pi\)
\(168\) 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 0.173082 0.984907i \(-0.444627\pi\)
0.967804 + 0.251704i \(0.0809911\pi\)
\(174\) 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 0.806452 0.591300i \(-0.201385\pi\)
0.358750 + 0.933434i \(0.383203\pi\)
\(180\) 272.081 + 595.773i 0.112665 + 0.246702i
\(181\) 481.054 + 3345.80i 0.197549 + 1.37399i 0.811366 + 0.584538i \(0.198724\pi\)
−0.613817 + 0.789449i \(0.710367\pi\)
\(182\) 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 −0.192574 0.981282i \(-0.561683\pi\)
0.998701 + 0.0509626i \(0.0162289\pi\)
\(192\) −70.4031 + 489.665i −0.0264631 + 0.184055i
\(193\) 3924.00 1152.19i 1.46350 0.429723i 0.549520 0.835480i \(-0.314810\pi\)
0.913981 + 0.405758i \(0.132992\pi\)
\(194\) 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 0.610719 0.791848i \(-0.290881\pi\)
−0.870702 + 0.491811i \(0.836335\pi\)
\(198\) 758.229 222.636i 0.272146 0.0799094i
\(199\) 294.459 2048.01i 0.104893 0.729544i −0.867710 0.497071i \(-0.834409\pi\)
0.972603 0.232474i \(-0.0746819\pi\)
\(200\) 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 −0.833861 0.551974i \(-0.813875\pi\)
0.128908 0.991657i \(-0.458853\pi\)
\(212\) 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 −0.393838 0.919180i \(-0.628853\pi\)
0.965873 + 0.259017i \(0.0833984\pi\)
\(224\) −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 −0.992989 0.118205i \(-0.962286\pi\)
0.919464 0.393175i \(-0.128623\pi\)
\(228\) −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 0.977236 0.212155i \(-0.0680483\pi\)
−0.997422 + 0.0717576i \(0.977139\pi\)
\(234\) 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 −0.521259 0.853399i \(-0.674537\pi\)
0.0228716 + 0.999738i \(0.492719\pi\)
\(240\) −404.949 467.337i −0.108914 0.125694i
\(241\) −632.537 + 406.507i −0.169068 + 0.108653i −0.622438 0.782669i \(-0.713858\pi\)
0.453371 + 0.891322i \(0.350221\pi\)
\(242\) 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 0.616417 0.787420i \(-0.288583\pi\)
−0.460193 + 0.887819i \(0.652220\pi\)
\(252\) 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 −0.998241 0.0592938i \(-0.981115\pi\)
0.608897 0.793249i \(-0.291612\pi\)
\(258\) −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 0.669659 0.742669i \(-0.266440\pi\)
−0.830412 + 0.557150i \(0.811895\pi\)
\(264\) −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 0.00260256 0.999997i \(-0.499172\pi\)
0.989448 0.144890i \(-0.0462830\pi\)
\(270\) −184.571 + 404.154i −0.0416024 + 0.0910965i
\(271\) 433.665 + 127.336i 0.0972078 + 0.0285428i 0.329975 0.943990i \(-0.392960\pi\)
−0.232767 + 0.972533i \(0.574778\pi\)
\(272\) −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 −0.399701 0.916646i \(-0.630886\pi\)
−0.831826 + 0.555037i \(0.812704\pi\)
\(282\) 2260.62 4950.06i 0.477368 1.04529i
\(283\) −2331.55 + 2690.75i −0.489739 + 0.565189i −0.945796 0.324761i \(-0.894716\pi\)
0.456057 + 0.889951i \(0.349261\pi\)
\(284\) −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 0.115756 + 0.993278i \(0.463071\pi\)
−0.826473 + 0.562976i \(0.809656\pi\)
\(294\) −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 0.872084 + 0.489356i \(0.162768\pi\)
−0.974626 + 0.223839i \(0.928141\pi\)
\(308\) −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 −0.504002 0.863702i \(-0.668140\pi\)
0.576281 + 0.817251i \(0.304503\pi\)
\(312\) −3696.50 4265.98i −0.670746 0.774083i
\(313\) −5244.49 + 1539.92i −0.947079 + 0.278088i −0.718570 0.695454i \(-0.755203\pi\)
−0.228509 + 0.973542i \(0.573385\pi\)
\(314\) 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 0.267701 0.963502i \(-0.413736\pi\)
−0.295704 + 0.955280i \(0.595554\pi\)
\(318\) 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 0.201904 0.979405i \(-0.435287\pi\)
0.699359 + 0.714771i \(0.253469\pi\)
\(332\) 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 0.531856 + 0.846835i \(0.321495\pi\)
−0.748893 + 0.662691i \(0.769414\pi\)
\(338\) 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 0.493312 0.869853i \(-0.335786\pi\)
−0.586317 + 0.810082i \(0.699423\pi\)
\(348\) −1162.43 8084.86i −0.179059 1.24538i
\(349\) −2572.12 5632.17i −0.394506 0.863848i −0.997798 0.0663275i \(-0.978872\pi\)
0.603292 0.797521i \(-0.293855\pi\)
\(350\) 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 −0.972170 0.234275i \(-0.924728\pi\)
0.998794 + 0.0491071i \(0.0156376\pi\)
\(354\) −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 −0.0713577 0.997451i \(-0.522733\pi\)
0.479233 + 0.877688i \(0.340915\pi\)
\(360\) 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 −0.0907612 0.995873i \(-0.528930\pi\)
−0.614763 + 0.788712i \(0.710748\pi\)
\(374\) 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 −0.654179 + 0.756340i \(0.726986\pi\)
−0.959747 + 0.280867i \(0.909378\pi\)
\(380\) −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 0.625040 + 0.780593i \(0.285083\pi\)
−0.819640 + 0.572879i \(0.805826\pi\)
\(384\) 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 0.129412 0.991591i \(-0.458691\pi\)
−0.848223 + 0.529639i \(0.822327\pi\)
\(390\) 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 −0.918588 0.395216i \(-0.870670\pi\)
0.900232 + 0.435411i \(0.143397\pi\)
\(398\) −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 0.401048 0.916057i \(-0.368646\pi\)
−0.963808 + 0.266597i \(0.914101\pi\)
\(402\) −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 0.635321 0.772248i \(-0.280868\pi\)
0.116957 + 0.993137i \(0.462686\pi\)
\(410\) 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 −0.497387 0.867529i \(-0.665707\pi\)
−0.887450 + 0.460904i \(0.847525\pi\)
\(420\) 1169.71 2561.30i 0.135895 0.297568i
\(421\) 4252.93 4908.14i 0.492340 0.568190i −0.454150 0.890925i \(-0.650057\pi\)
0.946489 + 0.322735i \(0.104602\pi\)
\(422\) −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 −0.965711 0.259621i \(-0.916402\pi\)
0.828615 + 0.559820i \(0.189130\pi\)
\(432\) −682.092 200.280i −0.0759657 0.0223055i
\(433\) 5100.59 + 11168.7i 0.566094 + 1.23957i 0.948851 + 0.315724i \(0.102247\pi\)
−0.382757 + 0.923849i \(0.625025\pi\)
\(434\) 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 0.838737 0.544537i \(-0.183295\pi\)
−0.146905 + 0.989151i \(0.546931\pi\)
\(440\) 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 −0.863524 0.504308i \(-0.831748\pi\)
0.946618 + 0.322356i \(0.104475\pi\)
\(444\) 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 0.107665 0.994187i \(-0.465662\pi\)
0.949070 + 0.315064i \(0.102026\pi\)
\(450\) 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 0.999199 + 0.0400176i \(0.0127414\pi\)
−0.947450 + 0.319904i \(0.896350\pi\)
\(458\) 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 −0.929201 0.369575i \(-0.879503\pi\)
0.787441 0.616390i \(-0.211406\pi\)
\(464\) 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 −0.132560 + 0.991175i \(0.542320\pi\)
−0.962221 + 0.272270i \(0.912226\pi\)
\(468\) 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 0.978519 0.206158i \(-0.0660961\pi\)
−0.796597 + 0.604510i \(0.793369\pi\)
\(480\) 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 −0.998225 0.0595600i \(-0.981030\pi\)
0.608686 0.793411i \(-0.291697\pi\)
\(488\) −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 −0.931957 0.362568i \(-0.881900\pi\)
0.996354 0.0853184i \(-0.0271907\pi\)
\(492\) 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 −0.862117 0.506709i \(-0.830862\pi\)
0.624244 + 0.781229i \(0.285407\pi\)
\(500\) 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 −0.951498 0.307655i \(-0.900456\pi\)
0.826279 0.563261i \(-0.190453\pi\)
\(504\) −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 0.682197 + 0.731168i \(0.261024\pi\)
−0.448570 + 0.893748i \(0.648066\pi\)
\(510\) 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 −0.685013 0.728531i \(-0.740203\pi\)
0.862516 0.506030i \(-0.168888\pi\)
\(522\) 11330.7 13076.4i 0.950063 1.09643i
\(523\) 8335.63 18252.5i 0.696925 1.52605i −0.146736 0.989176i \(-0.546877\pi\)
0.843661 0.536876i \(-0.180396\pi\)
\(524\) 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 0.372562 0.928007i \(-0.378479\pi\)
0.998913 + 0.0466136i \(0.0148429\pi\)
\(542\) −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 −0.0207530 0.999785i \(-0.506606\pi\)
−0.557983 + 0.829852i \(0.688425\pi\)
\(548\) −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 −0.0499374 0.998752i \(-0.515902\pi\)
−0.581976 + 0.813206i \(0.697720\pi\)
\(558\) −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 −0.519443 0.854505i \(-0.673861\pi\)
0.561500 + 0.827476i \(0.310224\pi\)
\(564\) −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 0.158128 + 0.987419i \(0.449454\pi\)
−0.849793 + 0.527116i \(0.823273\pi\)
\(570\) −3286.71 965.064i −0.241518 0.0709159i
\(571\) 8833.70 + 19343.1i 0.647423 + 1.41766i 0.893791 + 0.448483i \(0.148036\pi\)
−0.246368 + 0.969176i \(0.579237\pi\)
\(572\) 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 0.897970 0.440057i \(-0.145042\pi\)
−0.0272593 + 0.999628i \(0.508678\pi\)
\(578\) −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 −0.463819 0.885930i \(-0.653521\pi\)
0.613193 + 0.789933i \(0.289885\pi\)
\(588\) 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 −0.330377 0.943849i \(-0.607176\pi\)
−0.788214 + 0.615401i \(0.788994\pi\)
\(594\) −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 0.841394 + 0.540421i \(0.181735\pi\)
−0.655058 + 0.755579i \(0.727356\pi\)
\(602\) 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 0.196117 0.980580i \(-0.437167\pi\)
0.695126 + 0.718888i \(0.255348\pi\)
\(608\) −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 −0.511790 0.859110i \(-0.671018\pi\)
0.733099 0.680122i \(-0.238073\pi\)
\(614\) 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 −0.994229 0.107279i \(-0.965786\pi\)
0.570005 0.821641i \(-0.306941\pi\)
\(618\) −1952.87 13582.5i −0.127113 0.884093i
\(619\) −7115.26 4572.70i −0.462014 0.296918i 0.288851 0.957374i \(-0.406727\pi\)
−0.750865 + 0.660456i \(0.770363\pi\)
\(620\) 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 0.850544 0.525905i \(-0.176273\pi\)
−0.641597 + 0.767042i \(0.721728\pi\)
\(632\) −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 0.965934 + 0.258788i \(0.0833231\pi\)
−0.853898 + 0.520440i \(0.825768\pi\)
\(642\) −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 0.847082 + 0.531462i \(0.178357\pi\)
−0.663039 + 0.748585i \(0.730734\pi\)
\(648\) 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 −0.190106 0.981764i \(-0.560883\pi\)
0.370854 + 0.928691i \(0.379065\pi\)
\(654\) −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 0.768199 + 0.640212i \(0.221153\pi\)
−0.917450 + 0.397852i \(0.869756\pi\)
\(660\) −1221.47 + 1409.66i −0.0720391 + 0.0831375i
\(661\) 6271.49 13732.7i 0.369036 0.808076i −0.630457 0.776224i \(-0.717132\pi\)
0.999493 0.0318516i \(-0.0101404\pi\)
\(662\) −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 −0.988269 0.152726i \(-0.951195\pi\)
0.762601 + 0.646870i \(0.223922\pi\)
\(674\) 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 0.768685 0.639627i \(-0.220911\pi\)
−0.742512 + 0.669833i \(0.766366\pi\)
\(678\) −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 −0.847746 0.530402i \(-0.822041\pi\)
0.645650 + 0.763634i \(0.276587\pi\)
\(684\) −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 −0.648965 0.760819i \(-0.724798\pi\)
0.422475 + 0.906374i \(0.361161\pi\)
\(702\) 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 0.994730 0.102532i \(-0.0326944\pi\)
−0.728898 + 0.684622i \(0.759967\pi\)
\(710\) 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 0.293180 + 0.956057i \(0.405287\pi\)
−0.914532 + 0.404514i \(0.867441\pi\)
\(720\) −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 −0.244473 0.969656i \(-0.578615\pi\)
0.318572 + 0.947899i \(0.396797\pi\)
\(728\) −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 −0.984062 0.177825i \(-0.943094\pi\)
0.894102 0.447864i \(-0.147815\pi\)
\(734\) −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 −0.677697 0.735341i \(-0.737022\pi\)
0.443076 0.896484i \(-0.353887\pi\)
\(740\) −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 −0.207601 0.978214i \(-0.566565\pi\)
0.997802 + 0.0662733i \(0.0211109\pi\)
\(744\) 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 −0.999828 0.0185606i \(-0.994092\pi\)
0.964557 + 0.263875i \(0.0850007\pi\)
\(752\) 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 −0.0896406 0.995974i \(-0.528572\pi\)
−0.943208 + 0.332203i \(0.892208\pi\)
\(758\) 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 −0.145999 0.989285i \(-0.546640\pi\)
−0.960535 + 0.278158i \(0.910276\pi\)
\(762\) −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 0.611820 0.790997i \(-0.290438\pi\)
−0.870017 + 0.493022i \(0.835892\pi\)
\(770\) −1848.73 + 1188.10i −0.0865240 + 0.0556056i
\(771\) −25109.5 + 16136.9i −1.17289 + 0.753771i