Properties

Label 177.4.e.b.4.13
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.13

$q$-expansion

\(f(q)\) \(=\) \(q+(4.20930 + 0.457789i) q^{2} +(1.94216 - 2.28649i) q^{3} +(9.69564 + 2.13417i) q^{4} +(11.3095 + 8.59723i) q^{5} +(9.22185 - 8.73540i) q^{6} +(5.73956 - 14.4052i) q^{7} +(7.73503 + 2.60623i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(4.20930 + 0.457789i) q^{2} +(1.94216 - 2.28649i) q^{3} +(9.69564 + 2.13417i) q^{4} +(11.3095 + 8.59723i) q^{5} +(9.22185 - 8.73540i) q^{6} +(5.73956 - 14.4052i) q^{7} +(7.73503 + 2.60623i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(43.6692 + 41.3657i) q^{10} +(4.62060 - 2.13772i) q^{11} +(23.7102 - 18.0240i) q^{12} +(-3.66097 + 22.3309i) q^{13} +(30.7541 - 58.0083i) q^{14} +(41.6222 - 9.16175i) q^{15} +(-40.7155 - 18.8370i) q^{16} +(29.4098 + 73.8130i) q^{17} +(-2.06307 - 38.0512i) q^{18} +(-37.0499 - 54.6445i) q^{19} +(91.3046 + 107.492i) q^{20} +(-21.7902 - 41.1006i) q^{21} +(20.4281 - 6.88303i) q^{22} +(-4.97009 + 91.6679i) q^{23} +(20.9818 - 12.6243i) q^{24} +(20.5506 + 74.0166i) q^{25} +(-25.6330 + 92.3216i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(86.3919 - 127.419i) q^{28} +(-55.6883 + 6.05647i) q^{29} +(179.394 - 19.5103i) q^{30} +(149.175 - 220.017i) q^{31} +(-218.712 - 131.594i) q^{32} +(4.08608 - 14.7167i) q^{33} +(90.0038 + 324.164i) q^{34} +(188.756 - 113.571i) q^{35} +(4.83730 - 89.2187i) q^{36} +(-117.022 + 39.4294i) q^{37} +(-130.938 - 246.976i) q^{38} +(43.9492 + 51.7410i) q^{39} +(65.0727 + 95.9750i) q^{40} +(-2.64737 - 48.8278i) q^{41} +(-72.9059 - 182.980i) q^{42} +(-244.902 - 113.304i) q^{43} +(49.3619 - 10.8654i) q^{44} +(59.8888 - 112.962i) q^{45} +(-62.8851 + 383.582i) q^{46} +(-235.354 + 178.912i) q^{47} +(-122.146 + 56.5110i) q^{48} +(74.4488 + 70.5216i) q^{49} +(52.6196 + 320.965i) q^{50} +(225.891 + 76.1115i) q^{51} +(-83.1535 + 208.700i) q^{52} +(-462.928 + 438.509i) q^{53} +(-91.0103 - 69.1842i) q^{54} +(70.6350 + 15.5479i) q^{55} +(81.9391 - 96.4661i) q^{56} +(-196.901 - 21.4142i) q^{57} -237.181 q^{58} +(-241.630 + 383.398i) q^{59} +423.107 q^{60} +(-107.612 - 11.7035i) q^{61} +(728.645 - 857.827i) q^{62} +(-136.296 - 30.0010i) q^{63} +(-574.666 - 436.850i) q^{64} +(-233.388 + 221.077i) q^{65} +(23.9367 - 60.0765i) q^{66} +(-629.009 - 211.938i) q^{67} +(127.617 + 778.430i) q^{68} +(199.945 + 189.398i) q^{69} +(846.523 - 391.643i) q^{70} +(713.027 - 542.029i) q^{71} +(11.8846 - 72.4930i) q^{72} +(-29.9795 + 56.5473i) q^{73} +(-510.631 + 112.398i) q^{74} +(209.150 + 96.7633i) q^{75} +(-242.602 - 608.884i) q^{76} +(-4.27405 - 78.8303i) q^{77} +(161.309 + 237.913i) q^{78} +(148.764 + 175.139i) q^{79} +(-298.525 - 563.077i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(11.2093 - 206.743i) q^{82} +(381.154 - 229.333i) q^{83} +(-123.554 - 445.001i) q^{84} +(-301.979 + 1087.63i) q^{85} +(-978.996 - 589.043i) q^{86} +(-94.3075 + 139.093i) q^{87} +(41.3119 - 4.49293i) q^{88} +(1113.96 - 121.151i) q^{89} +(303.803 - 448.075i) q^{90} +(300.670 + 180.907i) q^{91} +(-243.823 + 878.172i) q^{92} +(-213.344 - 768.396i) q^{93} +(-1072.58 + 645.350i) q^{94} +(50.7770 - 936.527i) q^{95} +(-725.662 + 244.504i) q^{96} +(216.226 + 407.846i) q^{97} +(281.093 + 330.928i) q^{98} +(-25.7138 - 37.9250i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.20930 + 0.457789i 1.48821 + 0.161853i 0.815804 0.578329i \(-0.196295\pi\)
0.672407 + 0.740181i \(0.265260\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 9.69564 + 2.13417i 1.21196 + 0.266771i
\(5\) 11.3095 + 8.59723i 1.01155 + 0.768960i 0.973119 0.230301i \(-0.0739712\pi\)
0.0384302 + 0.999261i \(0.487764\pi\)
\(6\) 9.22185 8.73540i 0.627467 0.594369i
\(7\) 5.73956 14.4052i 0.309907 0.777809i −0.688700 0.725047i \(-0.741818\pi\)
0.998607 0.0527620i \(-0.0168025\pi\)
\(8\) 7.73503 + 2.60623i 0.341843 + 0.115180i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 43.6692 + 41.3657i 1.38094 + 1.30810i
\(11\) 4.62060 2.13772i 0.126651 0.0585951i −0.355540 0.934661i \(-0.615703\pi\)
0.482191 + 0.876066i \(0.339841\pi\)
\(12\) 23.7102 18.0240i 0.570379 0.433591i
\(13\) −3.66097 + 22.3309i −0.0781055 + 0.476422i 0.918591 + 0.395209i \(0.129328\pi\)
−0.996697 + 0.0812134i \(0.974120\pi\)
\(14\) 30.7541 58.0083i 0.587098 1.10738i
\(15\) 41.6222 9.16175i 0.716454 0.157704i
\(16\) −40.7155 18.8370i −0.636180 0.294328i
\(17\) 29.4098 + 73.8130i 0.419584 + 1.05308i 0.975139 + 0.221596i \(0.0711265\pi\)
−0.555555 + 0.831480i \(0.687494\pi\)
\(18\) −2.06307 38.0512i −0.0270151 0.498264i
\(19\) −37.0499 54.6445i −0.447359 0.659805i 0.535421 0.844585i \(-0.320153\pi\)
−0.982780 + 0.184780i \(0.940843\pi\)
\(20\) 91.3046 + 107.492i 1.02082 + 1.20180i
\(21\) −21.7902 41.1006i −0.226429 0.427090i
\(22\) 20.4281 6.88303i 0.197967 0.0667030i
\(23\) −4.97009 + 91.6679i −0.0450581 + 0.831047i 0.885441 + 0.464752i \(0.153857\pi\)
−0.930499 + 0.366295i \(0.880626\pi\)
\(24\) 20.9818 12.6243i 0.178454 0.107372i
\(25\) 20.5506 + 74.0166i 0.164405 + 0.592132i
\(26\) −25.6330 + 92.3216i −0.193348 + 0.696375i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 86.3919 127.419i 0.583091 0.859995i
\(29\) −55.6883 + 6.05647i −0.356588 + 0.0387813i −0.284660 0.958629i \(-0.591881\pi\)
−0.0719281 + 0.997410i \(0.522915\pi\)
\(30\) 179.394 19.5103i 1.09176 0.118736i
\(31\) 149.175 220.017i 0.864280 1.27472i −0.0959153 0.995390i \(-0.530578\pi\)
0.960196 0.279329i \(-0.0901119\pi\)
\(32\) −218.712 131.594i −1.20822 0.726963i
\(33\) 4.08608 14.7167i 0.0215544 0.0776319i
\(34\) 90.0038 + 324.164i 0.453986 + 1.63511i
\(35\) 188.756 113.571i 0.911590 0.548486i
\(36\) 4.83730 89.2187i 0.0223949 0.413049i
\(37\) −117.022 + 39.4294i −0.519955 + 0.175193i −0.567028 0.823698i \(-0.691907\pi\)
0.0470736 + 0.998891i \(0.485010\pi\)
\(38\) −130.938 246.976i −0.558974 1.05434i
\(39\) 43.9492 + 51.7410i 0.180449 + 0.212441i
\(40\) 65.0727 + 95.9750i 0.257222 + 0.379374i
\(41\) −2.64737 48.8278i −0.0100841 0.185991i −0.999236 0.0390917i \(-0.987554\pi\)
0.989152 0.146899i \(-0.0469292\pi\)
\(42\) −72.9059 182.980i −0.267848 0.672249i
\(43\) −244.902 113.304i −0.868540 0.401829i −0.0655694 0.997848i \(-0.520886\pi\)
−0.802971 + 0.596019i \(0.796748\pi\)
\(44\) 49.3619 10.8654i 0.169127 0.0372277i
\(45\) 59.8888 112.962i 0.198393 0.374209i
\(46\) −62.8851 + 383.582i −0.201563 + 1.22948i
\(47\) −235.354 + 178.912i −0.730424 + 0.555254i −0.902947 0.429751i \(-0.858601\pi\)
0.172523 + 0.985006i \(0.444808\pi\)
\(48\) −122.146 + 56.5110i −0.367299 + 0.169930i
\(49\) 74.4488 + 70.5216i 0.217052 + 0.205602i
\(50\) 52.6196 + 320.965i 0.148831 + 0.907827i
\(51\) 225.891 + 76.1115i 0.620217 + 0.208975i
\(52\) −83.1535 + 208.700i −0.221756 + 0.556566i
\(53\) −462.928 + 438.509i −1.19977 + 1.13649i −0.212550 + 0.977150i \(0.568177\pi\)
−0.987224 + 0.159336i \(0.949065\pi\)
\(54\) −91.0103 69.1842i −0.229351 0.174348i
\(55\) 70.6350 + 15.5479i 0.173171 + 0.0381179i
\(56\) 81.9391 96.4661i 0.195528 0.230193i
\(57\) −196.901 21.4142i −0.457546 0.0497611i
\(58\) −237.181 −0.536955
\(59\) −241.630 + 383.398i −0.533178 + 0.846003i
\(60\) 423.107 0.910381
\(61\) −107.612 11.7035i −0.225874 0.0245652i −0.00551778 0.999985i \(-0.501756\pi\)
−0.220356 + 0.975420i \(0.570722\pi\)
\(62\) 728.645 857.827i 1.49255 1.75716i
\(63\) −136.296 30.0010i −0.272567 0.0599964i
\(64\) −574.666 436.850i −1.12239 0.853222i
\(65\) −233.388 + 221.077i −0.445357 + 0.421865i
\(66\) 23.9367 60.0765i 0.0446424 0.112044i
\(67\) −629.009 211.938i −1.14695 0.386452i −0.319276 0.947662i \(-0.603440\pi\)
−0.827674 + 0.561210i \(0.810336\pi\)
\(68\) 127.617 + 778.430i 0.227586 + 1.38821i
\(69\) 199.945 + 189.398i 0.348848 + 0.330447i
\(70\) 846.523 391.643i 1.44541 0.668719i
\(71\) 713.027 542.029i 1.19184 0.906014i 0.194647 0.980873i \(-0.437644\pi\)
0.997194 + 0.0748592i \(0.0238507\pi\)
\(72\) 11.8846 72.4930i 0.0194530 0.118658i
\(73\) −29.9795 + 56.5473i −0.0480662 + 0.0906624i −0.906381 0.422460i \(-0.861167\pi\)
0.858315 + 0.513123i \(0.171511\pi\)
\(74\) −510.631 + 112.398i −0.802158 + 0.176568i
\(75\) 209.150 + 96.7633i 0.322008 + 0.148977i
\(76\) −242.602 608.884i −0.366162 0.918997i
\(77\) −4.27405 78.8303i −0.00632563 0.116669i
\(78\) 161.309 + 237.913i 0.234162 + 0.345363i
\(79\) 148.764 + 175.139i 0.211864 + 0.249426i 0.857822 0.513948i \(-0.171817\pi\)
−0.645957 + 0.763374i \(0.723542\pi\)
\(80\) −298.525 563.077i −0.417201 0.786924i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 11.2093 206.743i 0.0150958 0.278426i
\(83\) 381.154 229.333i 0.504061 0.303284i −0.240717 0.970595i \(-0.577383\pi\)
0.744779 + 0.667312i \(0.232555\pi\)
\(84\) −123.554 445.001i −0.160486 0.578019i
\(85\) −301.979 + 1087.63i −0.385343 + 1.38788i
\(86\) −978.996 589.043i −1.22753 0.738583i
\(87\) −94.3075 + 139.093i −0.116216 + 0.171406i
\(88\) 41.3119 4.49293i 0.0500438 0.00544260i
\(89\) 1113.96 121.151i 1.32674 0.144292i 0.582843 0.812585i \(-0.301940\pi\)
0.743898 + 0.668293i \(0.232975\pi\)
\(90\) 303.803 448.075i 0.355818 0.524792i
\(91\) 300.670 + 180.907i 0.346360 + 0.208398i
\(92\) −243.823 + 878.172i −0.276308 + 0.995172i
\(93\) −213.344 768.396i −0.237879 0.856763i
\(94\) −1072.58 + 645.350i −1.17689 + 0.708114i
\(95\) 50.7770 936.527i 0.0548380 1.01143i
\(96\) −725.662 + 244.504i −0.771485 + 0.259943i
\(97\) 216.226 + 407.846i 0.226335 + 0.426913i 0.970506 0.241076i \(-0.0775003\pi\)
−0.744172 + 0.667989i \(0.767155\pi\)
\(98\) 281.093 + 330.928i 0.289742 + 0.341110i
\(99\) −25.7138 37.9250i −0.0261044 0.0385010i
\(100\) 41.2871 + 761.496i 0.0412871 + 0.761496i
\(101\) −262.470 658.749i −0.258581 0.648990i 0.741169 0.671318i \(-0.234271\pi\)
−0.999751 + 0.0223280i \(0.992892\pi\)
\(102\) 915.999 + 423.786i 0.889190 + 0.411383i
\(103\) 863.126 189.988i 0.825693 0.181749i 0.218028 0.975942i \(-0.430037\pi\)
0.607665 + 0.794194i \(0.292106\pi\)
\(104\) −86.5174 + 163.189i −0.0815743 + 0.153866i
\(105\) 106.917 652.162i 0.0993713 0.606138i
\(106\) −2149.35 + 1633.89i −1.96946 + 1.49715i
\(107\) 1553.03 718.510i 1.40315 0.649168i 0.435209 0.900330i \(-0.356675\pi\)
0.967945 + 0.251162i \(0.0808125\pi\)
\(108\) −194.602 184.337i −0.173385 0.164239i
\(109\) −135.112 824.147i −0.118728 0.724211i −0.977355 0.211609i \(-0.932130\pi\)
0.858626 0.512602i \(-0.171318\pi\)
\(110\) 290.206 + 97.7817i 0.251546 + 0.0847557i
\(111\) −137.121 + 344.148i −0.117252 + 0.294280i
\(112\) −505.040 + 478.399i −0.426088 + 0.403612i
\(113\) −36.6316 27.8466i −0.0304956 0.0231822i 0.589815 0.807538i \(-0.299201\pi\)
−0.620311 + 0.784356i \(0.712994\pi\)
\(114\) −819.010 180.278i −0.672871 0.148110i
\(115\) −844.300 + 993.987i −0.684621 + 0.805998i
\(116\) −552.859 60.1271i −0.442514 0.0481263i
\(117\) 203.661 0.160927
\(118\) −1192.61 + 1503.22i −0.930410 + 1.17273i
\(119\) 1232.09 0.949123
\(120\) 345.827 + 37.6109i 0.263079 + 0.0286116i
\(121\) −844.891 + 994.683i −0.634779 + 0.747320i
\(122\) −447.613 98.5270i −0.332172 0.0731165i
\(123\) −116.786 88.7781i −0.0856114 0.0650801i
\(124\) 1915.91 1814.84i 1.38753 1.31434i
\(125\) 253.361 635.889i 0.181291 0.455005i
\(126\) −559.976 188.678i −0.395926 0.133403i
\(127\) 119.511 + 728.984i 0.0835029 + 0.509345i 0.995150 + 0.0983709i \(0.0313632\pi\)
−0.911647 + 0.410974i \(0.865189\pi\)
\(128\) −736.480 697.631i −0.508564 0.481738i
\(129\) −734.706 + 339.911i −0.501452 + 0.231996i
\(130\) −1083.61 + 823.736i −0.731066 + 0.555742i
\(131\) 207.908 1268.18i 0.138664 0.845814i −0.822282 0.569080i \(-0.807300\pi\)
0.960947 0.276734i \(-0.0892521\pi\)
\(132\) 71.0251 133.968i 0.0468329 0.0883363i
\(133\) −999.816 + 220.076i −0.651842 + 0.143481i
\(134\) −2550.66 1180.06i −1.64435 0.760759i
\(135\) −141.973 356.326i −0.0905118 0.227168i
\(136\) 35.1115 + 647.594i 0.0221382 + 0.408314i
\(137\) 202.552 + 298.742i 0.126315 + 0.186301i 0.885588 0.464471i \(-0.153756\pi\)
−0.759273 + 0.650772i \(0.774445\pi\)
\(138\) 754.923 + 888.764i 0.465676 + 0.548236i
\(139\) 842.562 + 1589.24i 0.514138 + 0.969768i 0.995636 + 0.0933203i \(0.0297481\pi\)
−0.481498 + 0.876447i \(0.659907\pi\)
\(140\) 2072.49 698.305i 1.25113 0.421554i
\(141\) −48.0163 + 885.609i −0.0286788 + 0.528949i
\(142\) 3249.48 1955.15i 1.92035 1.15544i
\(143\) 30.8213 + 111.008i 0.0180238 + 0.0649160i
\(144\) −108.016 + 389.040i −0.0625094 + 0.225139i
\(145\) −681.874 410.270i −0.390528 0.234973i
\(146\) −152.079 + 224.300i −0.0862066 + 0.127145i
\(147\) 305.838 33.2619i 0.171599 0.0186625i
\(148\) −1218.75 + 132.547i −0.676898 + 0.0736171i
\(149\) 382.546 564.213i 0.210332 0.310216i −0.707860 0.706353i \(-0.750339\pi\)
0.918191 + 0.396137i \(0.129650\pi\)
\(150\) 836.079 + 503.052i 0.455104 + 0.273827i
\(151\) −28.3992 + 102.285i −0.0153053 + 0.0551246i −0.970808 0.239857i \(-0.922900\pi\)
0.955503 + 0.294981i \(0.0953134\pi\)
\(152\) −144.166 519.237i −0.0769301 0.277077i
\(153\) 612.744 368.676i 0.323774 0.194808i
\(154\) 18.0968 333.777i 0.00946938 0.174653i
\(155\) 3578.63 1205.78i 1.85447 0.624844i
\(156\) 315.692 + 595.457i 0.162023 + 0.305607i
\(157\) 673.682 + 793.120i 0.342457 + 0.403171i 0.906248 0.422746i \(-0.138934\pi\)
−0.563792 + 0.825917i \(0.690658\pi\)
\(158\) 546.016 + 805.313i 0.274929 + 0.405489i
\(159\) 103.564 + 1910.13i 0.0516553 + 0.952725i
\(160\) −1342.16 3368.58i −0.663171 1.66443i
\(161\) 1291.97 + 597.729i 0.632432 + 0.292594i
\(162\) −334.945 + 73.7270i −0.162443 + 0.0357564i
\(163\) 861.615 1625.18i 0.414030 0.780944i −0.585528 0.810652i \(-0.699113\pi\)
0.999559 + 0.0297081i \(0.00945779\pi\)
\(164\) 78.5390 479.066i 0.0373955 0.228102i
\(165\) 172.734 131.309i 0.0814991 0.0619540i
\(166\) 1709.38 790.842i 0.799237 0.369766i
\(167\) −2179.19 2064.24i −1.00976 0.956500i −0.0107087 0.999943i \(-0.503409\pi\)
−0.999056 + 0.0434428i \(0.986167\pi\)
\(168\) −61.4298 374.705i −0.0282108 0.172078i
\(169\) 1596.73 + 538.000i 0.726775 + 0.244879i
\(170\) −1769.02 + 4439.91i −0.798104 + 2.00309i
\(171\) −431.376 + 408.621i −0.192913 + 0.182737i
\(172\) −2132.67 1621.22i −0.945435 0.718701i
\(173\) 2224.96 + 489.752i 0.977808 + 0.215232i 0.674999 0.737819i \(-0.264144\pi\)
0.302810 + 0.953051i \(0.402075\pi\)
\(174\) −460.643 + 542.311i −0.200697 + 0.236279i
\(175\) 1184.18 + 128.787i 0.511516 + 0.0556307i
\(176\) −228.398 −0.0978191
\(177\) 407.351 + 1297.10i 0.172985 + 0.550826i
\(178\) 4744.46 1.99782
\(179\) 3648.47 + 396.795i 1.52346 + 0.165686i 0.831205 0.555966i \(-0.187651\pi\)
0.692256 + 0.721652i \(0.256617\pi\)
\(180\) 821.741 967.428i 0.340272 0.400599i
\(181\) 486.804 + 107.154i 0.199911 + 0.0440037i 0.313797 0.949490i \(-0.398399\pi\)
−0.113886 + 0.993494i \(0.536330\pi\)
\(182\) 1182.79 + 899.134i 0.481727 + 0.366199i
\(183\) −235.759 + 223.323i −0.0952341 + 0.0902105i
\(184\) −277.352 + 696.101i −0.111123 + 0.278898i
\(185\) −1662.44 560.142i −0.660677 0.222608i
\(186\) −546.266 3332.07i −0.215345 1.31355i
\(187\) 293.682 + 278.190i 0.114846 + 0.108788i
\(188\) −2663.74 + 1232.38i −1.03337 + 0.478087i
\(189\) −333.306 + 253.372i −0.128277 + 0.0975139i
\(190\) 642.467 3918.87i 0.245313 1.49634i
\(191\) 149.317 281.641i 0.0565663 0.106695i −0.853617 0.520901i \(-0.825596\pi\)
0.910183 + 0.414206i \(0.135941\pi\)
\(192\) −2114.94 + 465.534i −0.794963 + 0.174985i
\(193\) 4600.97 + 2128.63i 1.71598 + 0.793898i 0.994879 + 0.101072i \(0.0322272\pi\)
0.721104 + 0.692827i \(0.243635\pi\)
\(194\) 723.454 + 1815.73i 0.267737 + 0.671969i
\(195\) 52.2126 + 963.005i 0.0191745 + 0.353652i
\(196\) 571.323 + 842.639i 0.208208 + 0.307084i
\(197\) 413.610 + 486.939i 0.149586 + 0.176107i 0.831852 0.554998i \(-0.187281\pi\)
−0.682265 + 0.731105i \(0.739005\pi\)
\(198\) −90.8752 171.409i −0.0326173 0.0615227i
\(199\) −2328.28 + 784.490i −0.829385 + 0.279452i −0.701799 0.712375i \(-0.747619\pi\)
−0.127586 + 0.991828i \(0.540723\pi\)
\(200\) −33.9451 + 626.080i −0.0120014 + 0.221353i
\(201\) −1706.23 + 1026.60i −0.598746 + 0.360254i
\(202\) −803.245 2893.03i −0.279783 1.00769i
\(203\) −232.382 + 836.963i −0.0803448 + 0.289376i
\(204\) 2027.72 + 1220.04i 0.695926 + 0.418725i
\(205\) 389.844 574.976i 0.132819 0.195893i
\(206\) 3720.13 404.588i 1.25822 0.136840i
\(207\) 821.380 89.3304i 0.275796 0.0299947i
\(208\) 569.706 840.254i 0.189914 0.280102i
\(209\) −288.007 173.288i −0.0953199 0.0573521i
\(210\) 748.595 2696.20i 0.245990 0.885978i
\(211\) −1325.95 4775.62i −0.432615 1.55814i −0.783298 0.621646i \(-0.786464\pi\)
0.350683 0.936494i \(-0.385949\pi\)
\(212\) −5424.24 + 3263.65i −1.75725 + 1.05731i
\(213\) 145.470 2683.03i 0.0467954 0.863091i
\(214\) 6866.11 2313.46i 2.19326 0.738995i
\(215\) −1795.61 3386.89i −0.569581 1.07434i
\(216\) −142.672 167.967i −0.0449427 0.0529106i
\(217\) −2313.19 3411.71i −0.723640 1.06729i
\(218\) −191.442 3530.93i −0.0594773 1.09699i
\(219\) 71.0697 + 178.371i 0.0219290 + 0.0550376i
\(220\) 651.669 + 301.494i 0.199707 + 0.0923943i
\(221\) −1755.98 + 386.521i −0.534480 + 0.117648i
\(222\) −734.730 + 1385.85i −0.222125 + 0.418973i
\(223\) −980.867 + 5983.02i −0.294546 + 1.79665i 0.261187 + 0.965288i \(0.415886\pi\)
−0.555733 + 0.831361i \(0.687562\pi\)
\(224\) −3150.96 + 2395.29i −0.939875 + 0.714475i
\(225\) 627.451 290.290i 0.185911 0.0860118i
\(226\) −141.445 133.984i −0.0416318 0.0394358i
\(227\) 763.862 + 4659.35i 0.223345 + 1.36234i 0.825697 + 0.564113i \(0.190782\pi\)
−0.602353 + 0.798230i \(0.705770\pi\)
\(228\) −1863.38 627.844i −0.541250 0.182368i
\(229\) 399.810 1003.45i 0.115372 0.289562i −0.859939 0.510396i \(-0.829499\pi\)
0.975311 + 0.220834i \(0.0708780\pi\)
\(230\) −4008.94 + 3797.47i −1.14931 + 1.08869i
\(231\) −188.545 143.328i −0.0537029 0.0408239i
\(232\) −446.535 98.2898i −0.126364 0.0278148i
\(233\) −2066.15 + 2432.46i −0.580936 + 0.683930i −0.971607 0.236600i \(-0.923967\pi\)
0.390671 + 0.920530i \(0.372243\pi\)
\(234\) 857.271 + 93.2339i 0.239494 + 0.0260465i
\(235\) −4199.88 −1.16583
\(236\) −3160.99 + 3201.61i −0.871878 + 0.883081i
\(237\) 689.376 0.188944
\(238\) 5186.24 + 564.037i 1.41250 + 0.153618i
\(239\) −3789.50 + 4461.34i −1.02562 + 1.20745i −0.0476118 + 0.998866i \(0.515161\pi\)
−0.978005 + 0.208583i \(0.933115\pi\)
\(240\) −1867.25 411.013i −0.502210 0.110545i
\(241\) −3126.40 2376.62i −0.835638 0.635236i 0.0973067 0.995254i \(-0.468977\pi\)
−0.932945 + 0.360019i \(0.882770\pi\)
\(242\) −4011.75 + 3800.13i −1.06564 + 1.00943i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −1018.39 343.135i −0.267195 0.0900286i
\(245\) 235.685 + 1437.62i 0.0614587 + 0.374881i
\(246\) −450.944 427.157i −0.116874 0.110709i
\(247\) 1355.90 627.307i 0.349287 0.161597i
\(248\) 1727.29 1313.05i 0.442271 0.336206i
\(249\) 215.896 1316.90i 0.0549471 0.335162i
\(250\) 1357.58 2560.66i 0.343443 0.647801i
\(251\) 1355.45 298.356i 0.340856 0.0750282i −0.0412437 0.999149i \(-0.513132\pi\)
0.382100 + 0.924121i \(0.375201\pi\)
\(252\) −1257.45 581.758i −0.314333 0.145426i
\(253\) 172.995 + 434.185i 0.0429886 + 0.107893i
\(254\) 169.336 + 3123.22i 0.0418311 + 0.771528i
\(255\) 1900.36 + 2802.82i 0.466686 + 0.688311i
\(256\) 957.872 + 1127.69i 0.233856 + 0.275316i
\(257\) −3315.56 6253.82i −0.804744 1.51791i −0.854680 0.519155i \(-0.826247\pi\)
0.0499361 0.998752i \(-0.484098\pi\)
\(258\) −3248.20 + 1094.45i −0.783815 + 0.264098i
\(259\) −103.668 + 1912.04i −0.0248710 + 0.458719i
\(260\) −2734.66 + 1645.39i −0.652294 + 0.392473i
\(261\) 134.874 + 485.774i 0.0319866 + 0.115205i
\(262\) 1455.71 5242.98i 0.343259 1.23631i
\(263\) 766.779 + 461.356i 0.179778 + 0.108169i 0.602598 0.798045i \(-0.294132\pi\)
−0.422820 + 0.906214i \(0.638960\pi\)
\(264\) 69.9612 103.185i 0.0163099 0.0240553i
\(265\) −9005.43 + 979.400i −2.08754 + 0.227034i
\(266\) −4309.27 + 468.661i −0.993302 + 0.108028i
\(267\) 1886.48 2782.36i 0.432401 0.637743i
\(268\) −5646.33 3397.28i −1.28696 0.774336i
\(269\) 607.773 2189.00i 0.137757 0.496155i −0.862189 0.506587i \(-0.830907\pi\)
0.999946 + 0.0104320i \(0.00332066\pi\)
\(270\) −434.485 1564.87i −0.0979330 0.352723i
\(271\) −5597.93 + 3368.16i −1.25480 + 0.754987i −0.978532 0.206095i \(-0.933924\pi\)
−0.276265 + 0.961081i \(0.589097\pi\)
\(272\) 192.981 3559.32i 0.0430191 0.793440i
\(273\) 997.590 336.127i 0.221161 0.0745177i
\(274\) 715.841 + 1350.22i 0.157831 + 0.297700i
\(275\) 253.182 + 298.069i 0.0555181 + 0.0653610i
\(276\) 1534.39 + 2263.05i 0.334635 + 0.493549i
\(277\) −245.439 4526.86i −0.0532383 0.981922i −0.896117 0.443818i \(-0.853624\pi\)
0.842878 0.538104i \(-0.180859\pi\)
\(278\) 2819.06 + 7075.30i 0.608187 + 1.52643i
\(279\) −2171.27 1004.54i −0.465917 0.215556i
\(280\) 1756.03 386.531i 0.374796 0.0824988i
\(281\) 1936.62 3652.85i 0.411135 0.775483i −0.588315 0.808632i \(-0.700209\pi\)
0.999450 + 0.0331483i \(0.0105534\pi\)
\(282\) −607.537 + 3705.81i −0.128292 + 0.782545i
\(283\) 6118.17 4650.91i 1.28512 0.976919i 0.285286 0.958442i \(-0.407911\pi\)
0.999829 0.0184770i \(-0.00588175\pi\)
\(284\) 8070.04 3733.60i 1.68616 0.780099i
\(285\) −2042.74 1934.98i −0.424566 0.402170i
\(286\) 78.9178 + 481.377i 0.0163165 + 0.0995260i
\(287\) −718.569 242.114i −0.147790 0.0497963i
\(288\) −850.295 + 2134.08i −0.173973 + 0.436639i
\(289\) −1016.61 + 962.981i −0.206922 + 0.196007i
\(290\) −2682.39 2039.10i −0.543157 0.412897i
\(291\) 1352.48 + 297.704i 0.272453 + 0.0599714i
\(292\) −411.352 + 484.281i −0.0824402 + 0.0970561i
\(293\) −775.762 84.3692i −0.154678 0.0168222i 0.0304526 0.999536i \(-0.490305\pi\)
−0.185130 + 0.982714i \(0.559271\pi\)
\(294\) 1302.59 0.258397
\(295\) −6028.87 + 2258.68i −1.18988 + 0.445781i
\(296\) −1007.93 −0.197922
\(297\) −136.655 14.8621i −0.0266988 0.00290367i
\(298\) 1868.54 2199.82i 0.363227 0.427624i
\(299\) −2028.84 446.581i −0.392410 0.0863760i
\(300\) 1821.34 + 1384.54i 0.350517 + 0.266456i
\(301\) −3037.80 + 2877.55i −0.581713 + 0.551028i
\(302\) −166.365 + 417.546i −0.0316995 + 0.0795598i
\(303\) −2015.98 679.262i −0.382228 0.128787i
\(304\) 479.166 + 2922.79i 0.0904016 + 0.551425i
\(305\) −1116.42 1057.53i −0.209593 0.198537i
\(306\) 2748.00 1271.36i 0.513374 0.237512i
\(307\) −6633.98 + 5043.02i −1.23329 + 0.937526i −0.999397 0.0347351i \(-0.988941\pi\)
−0.233898 + 0.972261i \(0.575148\pi\)
\(308\) 126.798 773.432i 0.0234577 0.143086i
\(309\) 1241.92 2342.51i 0.228642 0.431265i
\(310\) 15615.5 3437.24i 2.86097 0.629748i
\(311\) 545.594 + 252.418i 0.0994784 + 0.0460236i 0.468997 0.883200i \(-0.344615\pi\)
−0.369519 + 0.929223i \(0.620477\pi\)
\(312\) 205.099 + 514.760i 0.0372162 + 0.0934056i
\(313\) 246.334 + 4543.36i 0.0444844 + 0.820466i 0.932615 + 0.360874i \(0.117522\pi\)
−0.888130 + 0.459592i \(0.847996\pi\)
\(314\) 2472.65 + 3646.88i 0.444393 + 0.655431i
\(315\) −1283.51 1511.07i −0.229580 0.270282i
\(316\) 1068.59 + 2015.57i 0.190230 + 0.358812i
\(317\) −459.698 + 154.890i −0.0814486 + 0.0274432i −0.359731 0.933056i \(-0.617131\pi\)
0.278282 + 0.960499i \(0.410235\pi\)
\(318\) −438.503 + 8087.72i −0.0773272 + 1.42622i
\(319\) −244.366 + 147.030i −0.0428899 + 0.0258060i
\(320\) −2743.47 9881.08i −0.479264 1.72615i
\(321\) 1373.38 4946.45i 0.238799 0.860075i
\(322\) 5164.65 + 3107.47i 0.893835 + 0.537803i
\(323\) 2943.84 4341.84i 0.507120 0.747946i
\(324\) −799.433 + 86.9436i −0.137077 + 0.0149080i
\(325\) −1728.09 + 187.942i −0.294946 + 0.0320773i
\(326\) 4370.78 6446.42i 0.742562 1.09520i
\(327\) −2146.81 1291.69i −0.363055 0.218443i
\(328\) 106.779 384.584i 0.0179753 0.0647411i
\(329\) 1226.43 + 4417.20i 0.205518 + 0.740208i
\(330\) 787.202 473.644i 0.131315 0.0790098i
\(331\) −203.462 + 3752.64i −0.0337864 + 0.623153i 0.931784 + 0.363013i \(0.118252\pi\)
−0.965571 + 0.260141i \(0.916231\pi\)
\(332\) 4184.97 1410.08i 0.691807 0.233097i
\(333\) 520.578 + 981.915i 0.0856682 + 0.161587i
\(334\) −8227.87 9686.59i −1.34793 1.58691i
\(335\) −5291.67 7804.64i −0.863030 1.27287i
\(336\) 112.986 + 2083.90i 0.0183448 + 0.338351i
\(337\) 2053.00 + 5152.64i 0.331852 + 0.832885i 0.996331 + 0.0855784i \(0.0272738\pi\)
−0.664480 + 0.747306i \(0.731347\pi\)
\(338\) 6474.80 + 2995.56i 1.04196 + 0.482062i
\(339\) −134.815 + 29.6751i −0.0215993 + 0.00475436i
\(340\) −5249.06 + 9900.78i −0.837266 + 1.57925i
\(341\) 218.945 1335.51i 0.0347699 0.212087i
\(342\) −2002.85 + 1522.53i −0.316672 + 0.240728i
\(343\) 6270.34 2900.97i 0.987075 0.456670i
\(344\) −1599.03 1514.68i −0.250622 0.237401i
\(345\) 632.972 + 3860.96i 0.0987771 + 0.602513i
\(346\) 9141.33 + 3080.07i 1.42035 + 0.478571i
\(347\) 4480.81 11246.0i 0.693207 1.73982i 0.0206335 0.999787i \(-0.493432\pi\)
0.672573 0.740031i \(-0.265189\pi\)
\(348\) −1211.22 + 1147.33i −0.186575 + 0.176734i
\(349\) −3236.26 2460.14i −0.496370 0.377331i 0.326829 0.945084i \(-0.394020\pi\)
−0.823199 + 0.567753i \(0.807813\pi\)
\(350\) 4925.59 + 1084.20i 0.752240 + 0.165580i
\(351\) 395.543 465.669i 0.0601496 0.0708136i
\(352\) −1291.89 140.502i −0.195619 0.0212749i
\(353\) −11508.9 −1.73529 −0.867643 0.497187i \(-0.834366\pi\)
−0.867643 + 0.497187i \(0.834366\pi\)
\(354\) 1120.86 + 5646.37i 0.168286 + 0.847744i
\(355\) 12723.9 1.90230
\(356\) 11059.1 + 1202.75i 1.64644 + 0.179061i
\(357\) 2392.92 2817.16i 0.354752 0.417647i
\(358\) 15175.8 + 3340.46i 2.24041 + 0.493153i
\(359\) 10298.6 + 7828.78i 1.51404 + 1.15094i 0.944288 + 0.329120i \(0.106752\pi\)
0.569747 + 0.821820i \(0.307041\pi\)
\(360\) 757.648 717.682i 0.110921 0.105070i
\(361\) 925.452 2322.71i 0.134925 0.338637i
\(362\) 2000.05 + 673.895i 0.290387 + 0.0978429i
\(363\) 633.415 + 3863.66i 0.0915859 + 0.558649i
\(364\) 2529.10 + 2395.69i 0.364178 + 0.344968i
\(365\) −825.202 + 381.779i −0.118337 + 0.0547486i
\(366\) −1094.62 + 832.105i −0.156329 + 0.118838i
\(367\) 1406.57 8579.71i 0.200061 1.22032i −0.675554 0.737310i \(-0.736096\pi\)
0.875615 0.483009i \(-0.160456\pi\)
\(368\) 1929.11 3638.68i 0.273266 0.515434i
\(369\) −429.806 + 94.6075i −0.0606364 + 0.0133471i
\(370\) −6741.28 3118.85i −0.947196 0.438220i
\(371\) 3659.81 + 9185.42i 0.512150 + 1.28540i
\(372\) −428.618 7905.40i −0.0597388 1.10182i
\(373\) −403.005 594.387i −0.0559431 0.0825099i 0.798689 0.601744i \(-0.205527\pi\)
−0.854632 + 0.519235i \(0.826217\pi\)
\(374\) 1108.84 + 1305.43i 0.153307 + 0.180487i
\(375\) −961.884 1814.30i −0.132457 0.249841i
\(376\) −2286.76 + 770.498i −0.313645 + 0.105679i
\(377\) 68.6267 1265.74i 0.00937521 0.172916i
\(378\) −1518.97 + 913.936i −0.206687 + 0.124359i
\(379\) −313.713 1129.89i −0.0425180 0.153136i 0.939244 0.343250i \(-0.111528\pi\)
−0.981762 + 0.190114i \(0.939114\pi\)
\(380\) 2491.02 8971.86i 0.336281 1.21118i
\(381\) 1898.92 + 1142.54i 0.255340 + 0.153633i
\(382\) 757.450 1117.15i 0.101452 0.149630i
\(383\) 1342.92 146.051i 0.179165 0.0194853i −0.0180969 0.999836i \(-0.505761\pi\)
0.197261 + 0.980351i \(0.436795\pi\)
\(384\) −3025.48 + 329.041i −0.402067 + 0.0437274i
\(385\) 629.385 928.274i 0.0833154 0.122881i
\(386\) 18392.4 + 11066.3i 2.42525 + 1.45922i
\(387\) −649.714 + 2340.06i −0.0853406 + 0.307369i
\(388\) 1226.04 + 4415.79i 0.160419 + 0.577778i
\(389\) −9803.02 + 5898.28i −1.27772 + 0.768779i −0.982430 0.186629i \(-0.940244\pi\)
−0.295290 + 0.955408i \(0.595416\pi\)
\(390\) −221.074 + 4077.48i −0.0287039 + 0.529413i
\(391\) −6912.45 + 2329.08i −0.894061 + 0.301244i
\(392\) 392.067 + 739.518i 0.0505163 + 0.0952839i
\(393\) −2495.89 2938.39i −0.320359 0.377156i
\(394\) 1518.09 + 2239.02i 0.194113 + 0.286295i
\(395\) 176.735 + 3259.69i 0.0225127 + 0.415222i
\(396\) −168.373 422.584i −0.0213663 0.0536254i
\(397\) −11254.5 5206.88i −1.42279 0.658251i −0.450657 0.892697i \(-0.648810\pi\)
−0.972129 + 0.234446i \(0.924672\pi\)
\(398\) −10159.6 + 2236.29i −1.27953 + 0.281646i
\(399\) −1438.60 + 2713.49i −0.180501 + 0.340462i
\(400\) 557.522 3400.73i 0.0696902 0.425092i
\(401\) −4380.10 + 3329.67i −0.545466 + 0.414652i −0.841285 0.540592i \(-0.818200\pi\)
0.295819 + 0.955244i \(0.404407\pi\)
\(402\) −7651.98 + 3540.18i −0.949369 + 0.439225i
\(403\) 4367.07 + 4136.70i 0.539799 + 0.511325i
\(404\) −1138.93 6947.15i −0.140257 0.855529i
\(405\) −1090.47 367.421i −0.133792 0.0450798i
\(406\) −1361.32 + 3416.64i −0.166406 + 0.417648i
\(407\) −456.424 + 432.347i −0.0555874 + 0.0526552i
\(408\) 1548.91 + 1177.45i 0.187947 + 0.142874i
\(409\) −6738.39 1483.23i −0.814650 0.179318i −0.211945 0.977282i \(-0.567980\pi\)
−0.602706 + 0.797964i \(0.705911\pi\)
\(410\) 1904.18 2241.78i 0.229368 0.270033i
\(411\) 1076.46 + 117.072i 0.129192 + 0.0140504i
\(412\) 8774.03 1.04919
\(413\) 4136.08 + 5681.27i 0.492792 + 0.676893i
\(414\) 3498.33 0.415298
\(415\) 6282.28 + 683.239i 0.743096 + 0.0808166i
\(416\) 3739.33 4402.27i 0.440710 0.518844i
\(417\) 5270.17 + 1160.05i 0.618900 + 0.136230i
\(418\) −1132.98 861.267i −0.132574 0.100780i
\(419\) 1140.07 1079.93i 0.132927 0.125915i −0.618348 0.785904i \(-0.712198\pi\)
0.751275 + 0.659989i \(0.229439\pi\)
\(420\) 2428.45 6094.95i 0.282134 0.708102i
\(421\) −13135.6 4425.91i −1.52065 0.512365i −0.569735 0.821829i \(-0.692954\pi\)
−0.950911 + 0.309464i \(0.899851\pi\)
\(422\) −3395.07 20709.0i −0.391634 2.38886i
\(423\) 1931.68 + 1829.78i 0.222036 + 0.210324i
\(424\) −4723.62 + 2185.38i −0.541036 + 0.250310i
\(425\) −4859.00 + 3693.71i −0.554579 + 0.421580i
\(426\) 1840.59 11227.1i 0.209335 1.27689i
\(427\) −786.237 + 1483.00i −0.0891070 + 0.168074i
\(428\) 16591.1 3651.97i 1.87374 0.412441i
\(429\) 313.679 + 145.123i 0.0353020 + 0.0163325i
\(430\) −6007.79 15078.4i −0.673771 1.69104i
\(431\) 319.025 + 5884.06i 0.0356540 + 0.657599i 0.960674 + 0.277680i \(0.0895655\pi\)
−0.925020 + 0.379919i \(0.875952\pi\)
\(432\) 679.749 + 1002.55i 0.0757047 + 0.111656i
\(433\) −4693.61 5525.74i −0.520925 0.613280i 0.437293 0.899319i \(-0.355937\pi\)
−0.958218 + 0.286039i \(0.907661\pi\)
\(434\) −8175.08 15419.8i −0.904185 1.70547i
\(435\) −2262.38 + 762.286i −0.249363 + 0.0840202i
\(436\) 448.874 8278.99i 0.0493054 0.909384i
\(437\) 5193.29 3124.70i 0.568487 0.342047i
\(438\) 217.497 + 783.353i 0.0237270 + 0.0854568i
\(439\) 1636.91 5895.63i 0.177963 0.640964i −0.819710 0.572779i \(-0.805865\pi\)
0.997673 0.0681849i \(-0.0217208\pi\)
\(440\) 505.842 + 304.355i 0.0548070 + 0.0329763i
\(441\) 517.933 763.894i 0.0559263 0.0824851i
\(442\) −7568.39 + 823.113i −0.814461 + 0.0885780i
\(443\) −15219.8 + 1655.25i −1.63231 + 0.177524i −0.877887 0.478867i \(-0.841048\pi\)
−0.754421 + 0.656391i \(0.772082\pi\)
\(444\) −2063.95 + 3044.09i −0.220609 + 0.325374i
\(445\) 13639.9 + 8206.85i 1.45302 + 0.874252i
\(446\) −6867.72 + 24735.3i −0.729139 + 2.62612i
\(447\) −547.101 1970.48i −0.0578903 0.208502i
\(448\) −9591.25 + 5770.86i −1.01148 + 0.608588i
\(449\) 482.166 8893.04i 0.0506789 0.934718i −0.857069 0.515202i \(-0.827717\pi\)
0.907748 0.419516i \(-0.137800\pi\)
\(450\) 2774.02 934.676i 0.290597 0.0979134i
\(451\) −116.612 219.954i −0.0121753 0.0229651i
\(452\) −295.737 348.169i −0.0307750 0.0362311i
\(453\) 178.717 + 263.588i 0.0185361 + 0.0273387i
\(454\) 1082.32 + 19962.3i 0.111885 + 2.06360i
\(455\) 1845.12 + 4630.89i 0.190111 + 0.477142i
\(456\) −1467.22 678.809i −0.150677 0.0697108i
\(457\) −7982.16 + 1757.01i −0.817045 + 0.179845i −0.603782 0.797149i \(-0.706340\pi\)
−0.213263 + 0.976995i \(0.568409\pi\)
\(458\) 2142.29 4040.78i 0.218564 0.412256i
\(459\) 347.074 2117.06i 0.0352942 0.215285i
\(460\) −10307.4 + 7835.46i −1.04475 + 0.794196i
\(461\) −3421.70 + 1583.05i −0.345693 + 0.159935i −0.585051 0.810997i \(-0.698925\pi\)
0.239357 + 0.970932i \(0.423063\pi\)
\(462\) −728.029 689.625i −0.0733138 0.0694465i
\(463\) 2501.69 + 15259.6i 0.251108 + 1.53169i 0.747893 + 0.663820i \(0.231066\pi\)
−0.496784 + 0.867874i \(0.665486\pi\)
\(464\) 2381.46 + 802.408i 0.238269 + 0.0802820i
\(465\) 4193.27 10524.3i 0.418190 1.04958i
\(466\) −9810.59 + 9293.09i −0.975251 + 0.923807i
\(467\) −14654.9 11140.4i −1.45214 1.10389i −0.974251 0.225466i \(-0.927609\pi\)
−0.477888 0.878421i \(-0.658598\pi\)
\(468\) 1974.63 + 434.648i 0.195037 + 0.0429308i
\(469\) −6663.24 + 7844.57i −0.656034 + 0.772343i
\(470\) −17678.5 1922.66i −1.73500 0.188693i
\(471\) 3121.86 0.305409
\(472\) −2868.24 + 2335.85i −0.279706 + 0.227789i
\(473\) −1373.81 −0.133547
\(474\) 2901.79 + 315.588i 0.281189 + 0.0305811i
\(475\) 3283.20 3865.28i 0.317144 0.373371i
\(476\) 11945.9 + 2629.49i 1.15029 + 0.253199i
\(477\) 4568.63 + 3472.98i 0.438539 + 0.333369i
\(478\) −17993.5 + 17044.3i −1.72176 + 1.63094i
\(479\) 2781.04 6979.88i 0.265279 0.665801i −0.734641 0.678456i \(-0.762649\pi\)
0.999920 + 0.0126556i \(0.00402851\pi\)
\(480\) −10308.9 3473.47i −0.980281 0.330295i
\(481\) −452.080 2757.57i −0.0428546 0.261402i
\(482\) −12071.9 11435.1i −1.14079 1.08062i
\(483\) 3875.91 1793.19i 0.365135 0.168929i
\(484\) −10314.6 + 7840.94i −0.968687 + 0.736377i
\(485\) −1060.94 + 6471.47i −0.0993299 + 0.605886i
\(486\) −481.941 + 909.037i −0.0449821 + 0.0848452i
\(487\) 6879.80 1514.36i 0.640151 0.140908i 0.116978 0.993134i \(-0.462679\pi\)
0.523173 + 0.852227i \(0.324748\pi\)
\(488\) −801.879 370.989i −0.0743840 0.0344137i
\(489\) −2042.56 5126.43i −0.188891 0.474080i
\(490\) 333.945 + 6159.24i 0.0307879 + 0.567850i
\(491\) 3586.67 + 5289.94i 0.329662 + 0.486215i 0.956012 0.293327i \(-0.0947623\pi\)
−0.626350 + 0.779542i \(0.715452\pi\)
\(492\) −942.844 1110.00i −0.0863957 0.101713i
\(493\) −2084.83 3932.40i −0.190458 0.359242i
\(494\) 5994.56 2019.80i 0.545968 0.183958i
\(495\) 35.2408 649.979i 0.00319991 0.0590189i
\(496\) −10218.2 + 6148.10i −0.925023 + 0.556568i
\(497\) −3715.58 13382.3i −0.335345 1.20780i
\(498\) 1511.63 5444.41i 0.136020 0.489899i
\(499\) 15087.0 + 9077.58i 1.35348 + 0.814365i 0.992967 0.118388i \(-0.0377725\pi\)
0.360517 + 0.932752i \(0.382600\pi\)
\(500\) 3813.60 5624.63i 0.341098 0.503083i
\(501\) −8952.18 + 973.608i −0.798311 + 0.0868216i
\(502\) 5842.06 635.362i 0.519410 0.0564892i
\(503\) 340.640 502.406i 0.0301956 0.0445351i −0.812292 0.583252i \(-0.801780\pi\)
0.842487 + 0.538716i \(0.181091\pi\)
\(504\) −976.064 587.278i −0.0862646 0.0519037i
\(505\) 2695.03 9706.62i 0.237480 0.855324i
\(506\) 529.423 + 1906.81i 0.0465133 + 0.167526i
\(507\) 4331.22 2606.01i 0.379401 0.228278i
\(508\) −397.043 + 7323.02i −0.0346770 + 0.639580i
\(509\) 6879.80 2318.07i 0.599100 0.201860i −0.00338010 0.999994i \(-0.501076\pi\)
0.602480 + 0.798134i \(0.294179\pi\)
\(510\) 6716.07 + 12667.9i 0.583123 + 1.09989i
\(511\) 642.507 + 756.417i 0.0556220 + 0.0654832i
\(512\) 8070.05 + 11902.4i 0.696581 + 1.02738i
\(513\) 96.5056 + 1779.94i 0.00830570 + 0.153190i
\(514\) −11093.3 27842.0i −0.951951 2.38922i
\(515\) 11394.9 + 5271.83i 0.974987 + 0.451077i
\(516\) −7848.88 + 1727.67i −0.669627 + 0.147396i
\(517\) −705.015 + 1329.80i −0.0599739 + 0.113123i
\(518\) −1311.68 + 8000.87i −0.111258 + 0.678645i
\(519\) 5441.04 4136.17i 0.460184 0.349822i
\(520\) −2381.44 + 1101.77i −0.200833 + 0.0929152i
\(521\) 16641.9 + 15764.0i 1.39941 + 1.32559i 0.883095 + 0.469195i \(0.155456\pi\)
0.516316 + 0.856398i \(0.327303\pi\)
\(522\) 345.345 + 2106.51i 0.0289566 + 0.176627i
\(523\) 10967.7 + 3695.43i 0.916983 + 0.308968i 0.737934 0.674873i \(-0.235801\pi\)
0.179049 + 0.983840i \(0.442698\pi\)
\(524\) 4722.32 11852.1i 0.393694 0.988097i
\(525\) 2594.33 2457.48i 0.215668 0.204292i
\(526\) 3016.40 + 2293.00i 0.250040 + 0.190076i
\(527\) 20627.3 + 4540.42i 1.70501 + 0.375302i
\(528\) −443.585 + 522.229i −0.0365617 + 0.0430438i
\(529\) 3717.37 + 404.288i 0.305529 + 0.0332282i
\(530\) −38354.9 −3.14345
\(531\) 3756.95 + 1587.78i 0.307039 + 0.129762i
\(532\) −10163.5 −0.828280
\(533\) 1100.06 + 119.639i 0.0893977 + 0.00972259i
\(534\) 9214.50 10848.2i 0.746724 0.879111i
\(535\) 23741.2 + 5225.83i 1.91854 + 0.422303i
\(536\) −4313.04 3278.69i −0.347565 0.264212i
\(537\) 7993.18 7571.54i 0.642330 0.608447i
\(538\) 3560.40 8935.92i 0.285315 0.716087i
\(539\) 494.753 + 166.702i 0.0395372 + 0.0133216i
\(540\) −616.060 3757.80i −0.0490944 0.299463i
\(541\) 3707.87 + 3512.28i 0.294665 + 0.279122i 0.820722 0.571328i \(-0.193571\pi\)
−0.526057 + 0.850449i \(0.676330\pi\)
\(542\) −25105.3 + 11614.9i −1.98960 + 0.920487i
\(543\) 1190.46 904.962i 0.0940836 0.0715205i
\(544\) 3281.12 20013.9i 0.258597 1.57737i
\(545\) 5557.34 10482.3i 0.436790 0.823873i
\(546\) 4353.03 958.173i 0.341195 0.0751026i
\(547\) −9096.08 4208.29i −0.711006 0.328946i 0.0308331 0.999525i \(-0.490184\pi\)
−0.741839 + 0.670578i \(0.766046\pi\)
\(548\) 1326.31 + 3328.78i 0.103389 + 0.259486i
\(549\) 52.7431 + 972.790i 0.00410022 + 0.0756241i
\(550\) 929.267 + 1370.57i 0.0720438 + 0.106257i
\(551\) 2394.20 + 2818.67i 0.185111 + 0.217930i
\(552\) 1052.96 + 1986.10i 0.0811904 + 0.153141i
\(553\) 3376.75 1137.76i 0.259664 0.0874910i
\(554\) 1039.22 19167.2i 0.0796970 1.46992i
\(555\) −4509.48 + 2713.27i −0.344895 + 0.207517i
\(556\) 4777.47 + 17206.9i 0.364406 + 1.31247i
\(557\) −1337.50 + 4817.25i −0.101745 + 0.366452i −0.996841 0.0794212i \(-0.974693\pi\)
0.895096 + 0.445873i \(0.147107\pi\)
\(558\) −8679.67 5222.39i −0.658494 0.396203i
\(559\) 3426.76 5054.09i 0.259278 0.382407i
\(560\) −9824.65 + 1068.49i −0.741370 + 0.0806288i
\(561\) 1206.46 131.210i 0.0907961 0.00987467i
\(562\) 9824.04 14489.4i 0.737370 1.08754i
\(563\) 17875.1 + 10755.1i 1.33810 + 0.805105i 0.991146 0.132779i \(-0.0423899\pi\)
0.346949 + 0.937884i \(0.387218\pi\)
\(564\) −2355.59 + 8484.07i −0.175866 + 0.633411i
\(565\) −174.880 629.860i −0.0130217 0.0468999i
\(566\) 27882.3 16776.2i 2.07064 1.24586i
\(567\) −68.0001 + 1254.19i −0.00503657 + 0.0928941i
\(568\) 6927.94 2334.29i 0.511778 0.172438i
\(569\) −2321.78 4379.34i −0.171062 0.322656i 0.783127 0.621862i \(-0.213623\pi\)
−0.954189 + 0.299205i \(0.903279\pi\)
\(570\) −7712.68 9080.06i −0.566752 0.667232i
\(571\) −1519.45 2241.02i −0.111361 0.164245i 0.767924 0.640540i \(-0.221290\pi\)
−0.879285 + 0.476296i \(0.841979\pi\)
\(572\) 61.9216 + 1142.08i 0.00452635 + 0.0834836i
\(573\) −353.972 888.402i −0.0258069 0.0647705i
\(574\) −2913.83 1348.08i −0.211883 0.0980277i
\(575\) −6887.08 + 1515.96i −0.499498 + 0.109948i
\(576\) −3043.12 + 5739.93i −0.220133 + 0.415215i
\(577\) 1928.96 11766.1i 0.139174 0.848926i −0.821288 0.570514i \(-0.806744\pi\)
0.960462 0.278411i \(-0.0898079\pi\)
\(578\) −4720.04 + 3588.08i −0.339668 + 0.258209i
\(579\) 13802.9 6385.90i 0.990723 0.458357i
\(580\) −5735.62 5433.06i −0.410618 0.388958i
\(581\) −1115.93 6806.88i −0.0796844 0.486053i
\(582\) 5556.71 + 1872.27i 0.395761 + 0.133347i
\(583\) −1201.60 + 3015.78i −0.0853603 + 0.214238i
\(584\) −379.268 + 359.261i −0.0268736 + 0.0254561i
\(585\) 2303.30 + 1750.93i 0.162786 + 0.123747i
\(586\) −3226.79 710.270i −0.227470 0.0500699i
\(587\) −6540.56 + 7700.14i −0.459894 + 0.541429i −0.942411 0.334458i \(-0.891447\pi\)
0.482517 + 0.875887i \(0.339723\pi\)
\(588\) 3036.28 + 330.216i 0.212949 + 0.0231596i
\(589\) −17549.7 −1.22771
\(590\) −26411.3 + 6747.51i −1.84294 + 0.470831i
\(591\) 1916.68 0.133404
\(592\) 5507.35 + 598.960i 0.382349 + 0.0415829i
\(593\) −11789.6 + 13879.7i −0.816423 + 0.961168i −0.999761 0.0218821i \(-0.993034\pi\)
0.183337 + 0.983050i \(0.441310\pi\)
\(594\) −568.418 125.118i −0.0392634 0.00864254i
\(595\) 13934.3 + 10592.6i 0.960085 + 0.729838i
\(596\) 4913.16 4653.99i 0.337669 0.319857i
\(597\) −2728.17 + 6847.19i −0.187029 + 0.469408i
\(598\) −8335.53 2808.57i −0.570009 0.192058i
\(599\) 2415.97 + 14736.8i 0.164798 + 1.00522i 0.931639 + 0.363385i \(0.118379\pi\)
−0.766841 + 0.641837i \(0.778173\pi\)
\(600\) 1365.60 + 1293.56i 0.0929171 + 0.0880157i
\(601\) −4669.67 + 2160.42i −0.316938 + 0.146631i −0.571908 0.820318i \(-0.693797\pi\)
0.254970 + 0.966949i \(0.417934\pi\)
\(602\) −14104.3 + 10721.8i −0.954897 + 0.725894i
\(603\) −966.451 + 5895.09i −0.0652685 + 0.398120i
\(604\) −493.642 + 931.107i −0.0332550 + 0.0627255i
\(605\) −18106.8 + 3985.61i −1.21677 + 0.267831i
\(606\) −8174.89 3782.11i −0.547991 0.253527i
\(607\) 2706.70 + 6793.31i 0.180991 + 0.454254i 0.991279 0.131778i \(-0.0420686\pi\)
−0.810288 + 0.586032i \(0.800689\pi\)
\(608\) 912.330 + 16826.9i 0.0608551 + 1.12241i
\(609\) 1462.38 + 2156.85i 0.0973050 + 0.143514i
\(610\) −4215.20 4962.52i −0.279785 0.329388i
\(611\) −3133.64 5910.67i −0.207485 0.391359i
\(612\) 6727.76 2266.85i 0.444369 0.149725i
\(613\) −660.174 + 12176.2i −0.0434979 + 0.802271i 0.892669 + 0.450714i \(0.148830\pi\)
−0.936166 + 0.351557i \(0.885652\pi\)
\(614\) −30233.0 + 18190.6i −1.98714 + 1.19562i
\(615\) −557.537 2008.07i −0.0365562 0.131664i
\(616\) 172.390 620.894i 0.0112757 0.0406112i
\(617\) −7308.44 4397.34i −0.476867 0.286921i 0.256758 0.966476i \(-0.417346\pi\)
−0.733625 + 0.679554i \(0.762173\pi\)
\(618\) 6300.00 9291.80i 0.410070 0.604807i
\(619\) −22697.4 + 2468.49i −1.47380 + 0.160286i −0.809475 0.587154i \(-0.800248\pi\)
−0.664329 + 0.747440i \(0.731283\pi\)
\(620\) 37270.5 4053.41i 2.41422 0.262563i
\(621\) 1391.00 2051.57i 0.0898854 0.132571i
\(622\) 2181.01 + 1312.27i 0.140596 + 0.0845937i
\(623\) 4648.46 16742.2i 0.298935 1.07667i
\(624\) −814.769 2934.53i −0.0522706 0.188262i
\(625\) 16559.9 9963.74i 1.05983 0.637679i
\(626\) −1043.01 + 19237.1i −0.0665925 + 1.22823i
\(627\) −955.576 + 321.971i −0.0608645 + 0.0205076i
\(628\) 4839.12 + 9127.56i 0.307487 + 0.579983i
\(629\) −6352.00 7478.15i −0.402656 0.474043i
\(630\) −4710.93 6948.10i −0.297917 0.439395i
\(631\) −373.716 6892.79i −0.0235775 0.434862i −0.986362 0.164591i \(-0.947370\pi\)
0.962784 0.270271i \(-0.0871132\pi\)
\(632\) 694.243 + 1742.42i 0.0436954 + 0.109667i
\(633\) −13494.6 6243.27i −0.847333 0.392018i
\(634\) −2005.91 + 441.534i −0.125654 + 0.0276586i
\(635\) −4915.64 + 9271.88i −0.307199 + 0.579438i
\(636\) −3072.43 + 18741.0i −0.191556 + 1.16844i
\(637\) −1847.37 + 1404.33i −0.114907 + 0.0873497i
\(638\) −1095.92 + 507.026i −0.0680060 + 0.0314629i
\(639\) −5852.19 5543.49i −0.362299 0.343188i
\(640\) −2331.50 14221.5i −0.144001 0.878367i
\(641\) 21132.6 + 7120.40i 1.30216 + 0.438750i 0.883091 0.469202i \(-0.155458\pi\)
0.419074 + 0.907952i \(0.362355\pi\)
\(642\) 8045.37 20192.4i 0.494588 1.24132i
\(643\) 10794.4 10225.0i 0.662034 0.627112i −0.281040 0.959696i \(-0.590679\pi\)
0.943074 + 0.332584i \(0.107921\pi\)
\(644\) 11250.8 + 8552.65i 0.688423 + 0.523326i
\(645\) −11231.4 2472.23i −0.685639 0.150921i
\(646\) 14379.2 16928.5i 0.875759 1.03102i
\(647\) −15118.5 1644.24i −0.918655 0.0999097i −0.363441 0.931617i \(-0.618398\pi\)
−0.555214 + 0.831708i \(0.687364\pi\)
\(648\) −661.146 −0.0400807
\(649\) −296.878 + 2288.06i −0.0179561 + 0.138389i
\(650\) −7360.10 −0.444134
\(651\) −12293.4 1336.99i −0.740118 0.0804927i
\(652\) 11822.3 13918.3i 0.710119 0.836017i
\(653\) 17961.1 + 3953.54i 1.07638 + 0.236928i 0.717571 0.696485i \(-0.245254\pi\)
0.358804 + 0.933413i \(0.383185\pi\)
\(654\) −8445.24 6419.90i −0.504946 0.383850i
\(655\) 13254.2 12555.0i 0.790663 0.748955i
\(656\) −811.980 + 2037.92i −0.0483270 + 0.121292i
\(657\) 545.872 + 183.926i 0.0324148 + 0.0109218i
\(658\) 3140.26 + 19154.8i 0.186049 + 1.13485i
\(659\) −12705.5 12035.2i −0.751038 0.711421i 0.213039 0.977044i \(-0.431664\pi\)
−0.964077 + 0.265623i \(0.914423\pi\)
\(660\) 1955.01 904.483i 0.115301 0.0533439i
\(661\) −20900.3 + 15888.0i −1.22984 + 0.934902i −0.999272 0.0381530i \(-0.987853\pi\)
−0.230571 + 0.973055i \(0.574059\pi\)
\(662\) −2574.35 + 15702.8i −0.151140 + 0.921915i
\(663\) −2526.62 + 4765.71i −0.148003 + 0.279163i
\(664\) 3545.93 780.519i 0.207242 0.0456175i
\(665\) −13199.4 6106.71i −0.769702 0.356102i
\(666\) 1741.76 + 4371.48i 0.101339 + 0.254342i
\(667\) −278.408 5134.93i −0.0161619 0.298089i
\(668\) −16723.2 24664.9i −0.968622 1.42861i
\(669\) 11775.1 + 13862.7i 0.680496 + 0.801141i
\(670\) −18701.4 35274.5i −1.07835 2.03399i
\(671\) −522.250 + 175.967i −0.0300466 + 0.0101239i
\(672\) −642.849 + 11856.7i −0.0369025 + 0.680626i
\(673\) −22067.4 + 13277.5i −1.26395 + 0.760492i −0.980124 0.198385i \(-0.936430\pi\)
−0.283823 + 0.958877i \(0.591603\pi\)
\(674\) 6282.86 + 22628.8i 0.359061 + 1.29322i
\(675\) 554.866 1998.45i 0.0316397 0.113956i
\(676\) 14333.1 + 8623.94i 0.815492 + 0.490665i
\(677\) 17465.4 25759.5i 0.991504 1.46236i 0.107879 0.994164i \(-0.465594\pi\)
0.883625 0.468195i \(-0.155095\pi\)
\(678\) −581.062 + 63.1943i −0.0329138 + 0.00357959i
\(679\) 7116.16 773.929i 0.402199 0.0437418i
\(680\) −5170.43 + 7625.81i −0.291584 + 0.430054i
\(681\) 12137.1 + 7302.64i 0.682957 + 0.410922i
\(682\) 1532.98 5521.31i 0.0860718 0.310003i
\(683\) 6122.63 + 22051.7i 0.343010 + 1.23541i 0.911010 + 0.412383i \(0.135303\pi\)
−0.568000 + 0.823028i \(0.692283\pi\)
\(684\) −5054.53 + 3041.21i −0.282551 + 0.170005i
\(685\) −277.598 + 5120.00i −0.0154839 + 0.285584i
\(686\) 27721.8 9340.55i 1.54289 0.519860i
\(687\) −1517.88 2863.02i −0.0842949 0.158997i
\(688\) 7837.01 + 9226.44i 0.434278 + 0.511271i
\(689\) −8097.55 11943.0i −0.447739 0.660365i
\(690\) 896.865 + 16541.7i 0.0494827 + 0.912654i
\(691\) −9495.53 23832.0i −0.522760 1.31203i −0.919136 0.393940i \(-0.871112\pi\)
0.396377 0.918088i \(-0.370267\pi\)
\(692\) 20527.2 + 9496.91i 1.12764 + 0.521703i
\(693\) −693.903 + 152.740i −0.0380364 + 0.00837244i
\(694\) 24009.4 45286.5i 1.31323 2.47702i
\(695\) −4134.15 + 25217.2i −0.225636 + 1.37632i
\(696\) −1091.98 + 830.102i −0.0594704 + 0.0452082i
\(697\) 3526.27 1631.42i 0.191631 0.0886580i
\(698\) −12496.2 11837.0i −0.677632 0.641887i
\(699\) 1548.99 + 9448.45i 0.0838174 + 0.511264i
\(700\) 11206.5 + 3775.91i 0.605094 + 0.203880i
\(701\) 10034.8 25185.4i 0.540668 1.35697i −0.364216 0.931315i \(-0.618663\pi\)
0.904884 0.425659i \(-0.139958\pi\)
\(702\) 1878.14 1779.06i 0.100977 0.0956502i
\(703\) 6490.25 + 4933.76i 0.348200 + 0.264695i
\(704\) −3589.16 790.034i −0.192147 0.0422948i
\(705\) −8156.83 + 9602.96i −0.435750 + 0.513005i
\(706\) −48444.3 5268.64i −2.58247 0.280861i
\(707\) −10995.9 −0.584926
\(708\) 1181.29 + 13445.6i 0.0627054 + 0.713724i
\(709\) 7378.37 0.390833 0.195417 0.980720i \(-0.437394\pi\)
0.195417 + 0.980720i \(0.437394\pi\)
\(710\) 53558.7 + 5824.86i 2.83102 + 0.307892i
\(711\) 1338.88 1576.25i 0.0706214 0.0831420i
\(712\) 8932.29 + 1966.14i 0.470157 + 0.103489i
\(713\) 19427.1 + 14768.1i 1.02041 + 0.775694i
\(714\) 11362.2 10762.8i 0.595544 0.564129i
\(715\) −605.793 + 1520.43i −0.0316858 + 0.0795254i
\(716\) 34527.4 + 11633.6i 1.80217 + 0.607220i
\(717\) 2840.99 + 17329.3i 0.147976 + 0.902613i
\(718\) 39765.9 + 37668.2i 2.06692 + 1.95789i
\(719\) 5136.75 2376.51i 0.266437 0.123267i −0.282122 0.959378i \(-0.591038\pi\)
0.548560 + 0.836111i \(0.315176\pi\)
\(720\) −4566.27 + 3471.19i −0.236354 + 0.179672i
\(721\) 2217.14 13524.0i 0.114522 0.698556i
\(722\) 4958.81 9353.31i 0.255606 0.482125i
\(723\) −11506.1 + 2532.68i −0.591861 + 0.130278i
\(724\) 4491.19 + 2077.85i 0.230544 + 0.106661i
\(725\) −1592.71 3997.39i −0.0815884 0.204772i
\(726\) 897.492 + 16553.3i 0.0458803 + 0.846212i
\(727\) 12005.2 + 17706.3i 0.612446 + 0.903290i 0.999826 0.0186300i \(-0.00593047\pi\)
−0.387381 + 0.921920i \(0.626620\pi\)
\(728\) 1854.20 + 2182.94i 0.0943974 + 0.111133i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −3648.29 + 1229.25i −0.184972 + 0.0623243i
\(731\) 1160.77 21409.2i 0.0587315 1.08324i
\(732\) −2762.45 + 1662.11i −0.139485 + 0.0839253i
\(733\) −5797.11 20879.3i −0.292116 1.05211i −0.953335 0.301914i \(-0.902374\pi\)
0.661219 0.750193i \(-0.270039\pi\)
\(734\) 9848.37 35470.6i 0.495245 1.78371i
\(735\) 3744.83 + 2253.19i 0.187932 + 0.113075i
\(736\) 13150.0 19394.8i 0.658581 0.971334i
\(737\) −3359.46 + 365.363i −0.167907 + 0.0182610i
\(738\) −1852.49 + 201.471i −0.0924000 + 0.0100491i
\(739\) 12238.5 18050.4i 0.609202 0.898506i −0.390554 0.920580i \(-0.627717\pi\)
0.999756 + 0.0220742i \(0.00702701\pi\)
\(740\) −14923.0 8978.87i −0.741325 0.446040i
\(741\) 1199.05 4318.58i 0.0594442 0.214098i
\(742\) 11200.2 + 40339.6i 0.554142 + 1.99584i
\(743\) −33138.9 + 19939.0i −1.63627 + 0.984510i −0.664900 + 0.746932i \(0.731526\pi\)
−0.971368 + 0.237578i \(0.923647\pi\)
\(744\) 352.397 6499.59i 0.0173649 0.320278i
\(745\) 9177.07 3092.11i 0.451304 0.152062i
\(746\) −1424.26 2686.44i −0.0699007 0.131847i
\(747\) −2591.78 3051.28i −0.126945 0.149452i
\(748\) 2253.73 + 3324.00i 0.110166 + 0.162483i
\(749\) −1436.56 26495.7i −0.0700809 1.29257i
\(750\) −3218.28 8077.29i −0.156687 0.393254i
\(751\) 5295.14 + 2449.79i 0.257287 + 0.119034i 0.544293 0.838895i \(-0.316798\pi\)
−0.287006 + 0.957929i \(0.592660\pi\)
\(752\) 12952.7 2851.11i 0.628108 0.138257i
\(753\) 1950.30 3678.66i 0.0943865 0.178032i
\(754\) 868.313 5296.48i 0.0419391 0.255817i
\(755\) −1200.55 + 912.631i −0.0578706 + 0.0439921i
\(756\) −3772.35 + 1745.28i −0.181480 + 0.0839617i
\(757\) 9983.76 + 9457.12i 0.479347 + 0.454062i 0.888817 0.458262i \(-0.151528\pi\)
−0.409470 + 0.912324i \(0.634286\pi\)
\(758\) −803.258 4899.66i −0.0384903 0.234780i
\(759\) 1328.74 + 447.706i 0.0635446 + 0.0214107i
\(760\) 2833.57 7111.72i 0.135243 0.339433i
\(761\) −2127.75 + 2015.51i −0.101355 + 0.0960083i −0.736699 0.676220i \(-0.763617\pi\)
0.635345 + 0.772229i \(0.280858\pi\)
\(762\) 7470.08 + 5678.60i 0.355134 + 0.269966i
\(763\) −12647.5 2783.93i −0.600092 0.132090i
\(764\) 2048.79 2412.02i 0.0970191 0.114220i
\(765\) 10099.4 + 1098.38i 0.477313 + 0.0519109i
\(766\) 5719.61 0.269788
\(767\) −7677.04 6799.43i −0.361410 0.320096i
\(768\) 4438.80 0.208556
\(769\) −10556.6 1148.10i −0.495034 0.0538382i −0.142803 0.989751i \(-0.545611\pi\)
−0.352231 + 0.935913i \(0.614577\pi\)
\(770\) 3074.22 3619.25i 0.143880 0.169388i
\(771\) −20738.6 4564.91i −0.968720 0.213231i